<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2024 Workiva-->
<!--r:74ed4244-e3e8-4ab9-8fd5-74570e718589,g:da0ce76b-e25a-4139-9644-8b9be5dd32f1-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.renttherunway.com/role/ConsolidatedBalanceSheets" xlink:type="simple" xlink:href="wdq-20240131.xsd#ConsolidatedBalanceSheets"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/ConsolidatedBalanceSheets" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_b197686e-b733-4a65-b25d-b9ce48262b5b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent_5814bd1d-0416-4caa-8754-76be06dc957c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_b197686e-b733-4a65-b25d-b9ce48262b5b" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_5814bd1d-0416-4caa-8754-76be06dc957c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_AccruedLiabilitiesAndOtherLiabilitiesCurrent_d218c0a6-6ff6-4eb6-aa8c-b2f481baa02f" xlink:href="wdq-20240131.xsd#wdq_AccruedLiabilitiesAndOtherLiabilitiesCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_b197686e-b733-4a65-b25d-b9ce48262b5b" xlink:to="loc_wdq_AccruedLiabilitiesAndOtherLiabilitiesCurrent_d218c0a6-6ff6-4eb6-aa8c-b2f481baa02f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableCurrent_38df7fb7-d57a-4b75-b8a1-0fa4f78d9371" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AccountsPayableCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_b197686e-b733-4a65-b25d-b9ce48262b5b" xlink:to="loc_us-gaap_AccountsPayableCurrent_38df7fb7-d57a-4b75-b8a1-0fa4f78d9371" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredRevenueCurrent_7e3c0d75-1c04-4f17-bcea-9b4f092e3bce" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredRevenueCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_b197686e-b733-4a65-b25d-b9ce48262b5b" xlink:to="loc_us-gaap_DeferredRevenueCurrent_7e3c0d75-1c04-4f17-bcea-9b4f092e3bce" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_CustomerCreditLiabilitiesCurrent_5f1f479e-ee26-4c23-9f33-243f5d712dc7" xlink:href="wdq-20240131.xsd#wdq_CustomerCreditLiabilitiesCurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_b197686e-b733-4a65-b25d-b9ce48262b5b" xlink:to="loc_wdq_CustomerCreditLiabilitiesCurrent_5f1f479e-ee26-4c23-9f33-243f5d712dc7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_7a45f89a-cbd4-4780-9e3a-040ffcf38adb" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_b9d9c073-5be2-4002-a0d8-fd31a8897530" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_7a45f89a-cbd4-4780-9e3a-040ffcf38adb" xlink:to="loc_us-gaap_Liabilities_b9d9c073-5be2-4002-a0d8-fd31a8897530" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_47f98e55-ec96-474d-ae62-6379c240ce11" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockholdersEquity"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_7a45f89a-cbd4-4780-9e3a-040ffcf38adb" xlink:to="loc_us-gaap_StockholdersEquity_47f98e55-ec96-474d-ae62-6379c240ce11" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies_2455944f-d792-4d00-bbc5-d29538d0f610" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_7a45f89a-cbd4-4780-9e3a-040ffcf38adb" xlink:to="loc_us-gaap_CommitmentsAndContingencies_2455944f-d792-4d00-bbc5-d29538d0f610" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_15fbff92-105f-4d08-bb65-c7dd89899322" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilitiesNoncurrent_86aadb77-ac80-41b6-bb22-70ff0a004506" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherLiabilitiesNoncurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_15fbff92-105f-4d08-bb65-c7dd89899322" xlink:to="loc_us-gaap_OtherLiabilitiesNoncurrent_86aadb77-ac80-41b6-bb22-70ff0a004506" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtNoncurrent_6577d5a8-83de-4ac1-a55e-cbb763890b8c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LongTermDebtNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_15fbff92-105f-4d08-bb65-c7dd89899322" xlink:to="loc_us-gaap_LongTermDebtNoncurrent_6577d5a8-83de-4ac1-a55e-cbb763890b8c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_6142df7f-3f30-4f20-83c2-986cba36562b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_15fbff92-105f-4d08-bb65-c7dd89899322" xlink:to="loc_us-gaap_LiabilitiesCurrent_6142df7f-3f30-4f20-83c2-986cba36562b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_3edc6d01-1b5c-46b1-af2b-bed9a164dfe4" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_15fbff92-105f-4d08-bb65-c7dd89899322" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_3edc6d01-1b5c-46b1-af2b-bed9a164dfe4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_6fe709d0-1910-406d-abce-df32c9392365" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AssetsCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashCurrent_c819af49-68c1-4c47-a982-f22c232dd18e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RestrictedCashCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_6fe709d0-1910-406d-abce-df32c9392365" xlink:to="loc_us-gaap_RestrictedCashCurrent_c819af49-68c1-4c47-a982-f22c232dd18e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_13ecc0d6-58c4-458b-8051-486fc9bf6e3a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_6fe709d0-1910-406d-abce-df32c9392365" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_13ecc0d6-58c4-458b-8051-486fc9bf6e3a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_0d6f78b8-89f2-4031-a0b8-8a164c75649f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_6fe709d0-1910-406d-abce-df32c9392365" xlink:to="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_0d6f78b8-89f2-4031-a0b8-8a164c75649f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_963f2bf8-7ba9-40b5-b003-6d9075df5b51" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssetsNoncurrent_1de8ae34-dcef-4c59-868e-ffef1ba48856" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherAssetsNoncurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_963f2bf8-7ba9-40b5-b003-6d9075df5b51" xlink:to="loc_us-gaap_OtherAssetsNoncurrent_1de8ae34-dcef-4c59-868e-ffef1ba48856" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_e1037c93-ba21-4c7c-a4be-79bded278c0c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_963f2bf8-7ba9-40b5-b003-6d9075df5b51" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_e1037c93-ba21-4c7c-a4be-79bded278c0c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_9d204a16-1c9f-49f7-90e2-c7fff0909672" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AssetsCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_963f2bf8-7ba9-40b5-b003-6d9075df5b51" xlink:to="loc_us-gaap_AssetsCurrent_9d204a16-1c9f-49f7-90e2-c7fff0909672" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset_b8eedc8c-96e1-4878-a06a-9bd284187ad8" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_963f2bf8-7ba9-40b5-b003-6d9075df5b51" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAsset_b8eedc8c-96e1-4878-a06a-9bd284187ad8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashNoncurrent_acc88315-a6bb-4264-9331-36086bc47496" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RestrictedCashNoncurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_963f2bf8-7ba9-40b5-b003-6d9075df5b51" xlink:to="loc_us-gaap_RestrictedCashNoncurrent_acc88315-a6bb-4264-9331-36086bc47496" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_RentalProductNet_f279132e-6550-48b1-b8cf-5034306a31ce" xlink:href="wdq-20240131.xsd#wdq_RentalProductNet"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_963f2bf8-7ba9-40b5-b003-6d9075df5b51" xlink:to="loc_wdq_RentalProductNet_f279132e-6550-48b1-b8cf-5034306a31ce" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_95e61e91-fcb4-47c2-b4bf-3962c11593d2" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IntangibleAssetsNetExcludingGoodwill"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_963f2bf8-7ba9-40b5-b003-6d9075df5b51" xlink:to="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_95e61e91-fcb4-47c2-b4bf-3962c11593d2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_da5ed646-a2cf-4edc-8d5d-f058f0250c78" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_bc93b8fc-4163-4ad2-b8bd-332117bf9941" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_da5ed646-a2cf-4edc-8d5d-f058f0250c78" xlink:to="loc_us-gaap_CommonStockValue_bc93b8fc-4163-4ad2-b8bd-332117bf9941" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockValue_0a1eb9b1-2162-47b7-8d8d-4d177bb1ff2c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PreferredStockValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_da5ed646-a2cf-4edc-8d5d-f058f0250c78" xlink:to="loc_us-gaap_PreferredStockValue_0a1eb9b1-2162-47b7-8d8d-4d177bb1ff2c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital_fb61a524-fd4d-43cb-a70e-93316e97e382" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_da5ed646-a2cf-4edc-8d5d-f058f0250c78" xlink:to="loc_us-gaap_AdditionalPaidInCapital_fb61a524-fd4d-43cb-a70e-93316e97e382" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_6eff41af-e00e-4da5-8bbd-f1c79edc22fd" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_da5ed646-a2cf-4edc-8d5d-f058f0250c78" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_6eff41af-e00e-4da5-8bbd-f1c79edc22fd" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/ConsolidatedStatementsofOperations" xlink:type="simple" xlink:href="wdq-20240131.xsd#ConsolidatedStatementsofOperations"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/ConsolidatedStatementsofOperations" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_8f47eee3-ad58-4e1b-9f4c-1b3793ad8d1e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_26ed63ae-2d1b-495b-9614-6cdd19eb82b0" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_GainsLossesOnExtinguishmentOfDebt"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_8f47eee3-ad58-4e1b-9f4c-1b3793ad8d1e" xlink:to="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_26ed63ae-2d1b-495b-9614-6cdd19eb82b0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseNet_79b112e9-6bc3-427b-a1cf-f86511a1692d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestIncomeExpenseNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_8f47eee3-ad58-4e1b-9f4c-1b3793ad8d1e" xlink:to="loc_us-gaap_InterestIncomeExpenseNet_79b112e9-6bc3-427b-a1cf-f86511a1692d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnDerivativeInstrumentsNetPretax_bb6c3471-b2b1-4b09-b3f9-bd8517b1aac4" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_GainLossOnDerivativeInstrumentsNetPretax"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_8f47eee3-ad58-4e1b-9f4c-1b3793ad8d1e" xlink:to="loc_us-gaap_GainLossOnDerivativeInstrumentsNetPretax_bb6c3471-b2b1-4b09-b3f9-bd8517b1aac4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherOperatingIncomeExpenseNet_d7ab0449-440b-4a1f-9d85-c18911672b7e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherOperatingIncomeExpenseNet"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_8f47eee3-ad58-4e1b-9f4c-1b3793ad8d1e" xlink:to="loc_us-gaap_OtherOperatingIncomeExpenseNet_d7ab0449-440b-4a1f-9d85-c18911672b7e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_69a1f3fc-b6e1-4103-a49f-9db01d698ab0" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_8f47eee3-ad58-4e1b-9f4c-1b3793ad8d1e" xlink:to="loc_us-gaap_OperatingIncomeLoss_69a1f3fc-b6e1-4103-a49f-9db01d698ab0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_b5fb60af-1ab5-4958-9469-349d2d1e2750" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_9d7aabab-5bd0-43fc-ba6a-72c70f5be45e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_b5fb60af-1ab5-4958-9469-349d2d1e2750" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_9d7aabab-5bd0-43fc-ba6a-72c70f5be45e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_dadac646-2804-460c-b3ee-c7340e630c4b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_b5fb60af-1ab5-4958-9469-349d2d1e2750" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_dadac646-2804-460c-b3ee-c7340e630c4b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostsAndExpenses_166aad11-c379-46af-849f-d7a1be70fe5f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CostsAndExpenses"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeneralAndAdministrativeExpense_adcb627b-528b-4ccb-9404-5b7539ad86ab" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_GeneralAndAdministrativeExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CostsAndExpenses_166aad11-c379-46af-849f-d7a1be70fe5f" xlink:to="loc_us-gaap_GeneralAndAdministrativeExpense_adcb627b-528b-4ccb-9404-5b7539ad86ab" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MarketingExpense_7e7ab068-015f-4213-8f94-57ff41465e7b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_MarketingExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CostsAndExpenses_166aad11-c379-46af-849f-d7a1be70fe5f" xlink:to="loc_us-gaap_MarketingExpense_7e7ab068-015f-4213-8f94-57ff41465e7b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_DepreciationExpenseRentalProductAndRevenueShare_0817ae6c-96c0-407b-8715-88b85921055e" xlink:href="wdq-20240131.xsd#wdq_DepreciationExpenseRentalProductAndRevenueShare"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CostsAndExpenses_166aad11-c379-46af-849f-d7a1be70fe5f" xlink:to="loc_wdq_DepreciationExpenseRentalProductAndRevenueShare_0817ae6c-96c0-407b-8715-88b85921055e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestructuringCharges_57016613-b73f-4797-9a2d-3aa61b6fff68" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RestructuringCharges"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CostsAndExpenses_166aad11-c379-46af-849f-d7a1be70fe5f" xlink:to="loc_us-gaap_RestructuringCharges_57016613-b73f-4797-9a2d-3aa61b6fff68" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostOfGoodsAndServicesSold_c236bc61-f432-4764-b2aa-f4b969ae384d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CostOfGoodsAndServicesSold"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CostsAndExpenses_166aad11-c379-46af-849f-d7a1be70fe5f" xlink:to="loc_us-gaap_CostOfGoodsAndServicesSold_c236bc61-f432-4764-b2aa-f4b969ae384d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetImpairmentCharges_20b709bc-6c07-459b-a515-82e87a134909" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AssetImpairmentCharges"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CostsAndExpenses_166aad11-c379-46af-849f-d7a1be70fe5f" xlink:to="loc_us-gaap_AssetImpairmentCharges_20b709bc-6c07-459b-a515-82e87a134909" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_TechnologyExpenses_1f50b87b-a6c2-4253-b77d-c1a44d1cbaae" xlink:href="wdq-20240131.xsd#wdq_TechnologyExpenses"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CostsAndExpenses_166aad11-c379-46af-849f-d7a1be70fe5f" xlink:to="loc_wdq_TechnologyExpenses_1f50b87b-a6c2-4253-b77d-c1a44d1cbaae" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherDepreciationAndAmortization_f435676f-b796-4070-acbc-836979a4aaac" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherDepreciationAndAmortization"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CostsAndExpenses_166aad11-c379-46af-849f-d7a1be70fe5f" xlink:to="loc_us-gaap_OtherDepreciationAndAmortization_f435676f-b796-4070-acbc-836979a4aaac" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_92e32ae1-69dd-4ef5-9b2f-68bf9225571a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Revenues_64a34ed8-56fc-4c62-9e11-db71f11a414a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Revenues"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_92e32ae1-69dd-4ef5-9b2f-68bf9225571a" xlink:to="loc_us-gaap_Revenues_64a34ed8-56fc-4c62-9e11-db71f11a414a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostsAndExpenses_5edde522-e7da-425a-a222-7bfff80b8bd7" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CostsAndExpenses"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_92e32ae1-69dd-4ef5-9b2f-68bf9225571a" xlink:to="loc_us-gaap_CostsAndExpenses_5edde522-e7da-425a-a222-7bfff80b8bd7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Revenues_2626a8df-1f6d-4607-af0f-b8b4411ab46b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Revenues"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLeaseIncome_59cd77ac-e010-4e29-a1ea-0618ae2e8edf" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OperatingLeaseLeaseIncome"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_2626a8df-1f6d-4607-af0f-b8b4411ab46b" xlink:to="loc_us-gaap_OperatingLeaseLeaseIncome_59cd77ac-e010-4e29-a1ea-0618ae2e8edf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_c9ca1a3f-0280-43c7-82ce-bd14f6b7b8b6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_2626a8df-1f6d-4607-af0f-b8b4411ab46b" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_c9ca1a3f-0280-43c7-82ce-bd14f6b7b8b6" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/ConsolidatedStatementsofCashFlows" xlink:type="simple" xlink:href="wdq-20240131.xsd#ConsolidatedStatementsofCashFlows"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/ConsolidatedStatementsofCashFlows" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_2ddb6eed-c941-48a6-9535-3fbe05df9556" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_88f9e105-0161-4877-9600-1ccff3172c83" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_2ddb6eed-c941-48a6-9535-3fbe05df9556" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_88f9e105-0161-4877-9600-1ccff3172c83" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_2b47b8c6-03ad-4635-baad-05b113affd0b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_2ddb6eed-c941-48a6-9535-3fbe05df9556" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_2b47b8c6-03ad-4635-baad-05b113affd0b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d6eb4771-7b11-44f1-abea-426c67ff7256" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_2ddb6eed-c941-48a6-9535-3fbe05df9556" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d6eb4771-7b11-44f1-abea-426c67ff7256" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_57fdb742-400d-4312-8a09-2e751540e531" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashCurrent_9efad82e-217c-4840-b2e2-e4f0caf82a1a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RestrictedCashCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_57fdb742-400d-4312-8a09-2e751540e531" xlink:to="loc_us-gaap_RestrictedCashCurrent_9efad82e-217c-4840-b2e2-e4f0caf82a1a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_90b01f3a-9256-468d-afdc-925c4025ac4d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_57fdb742-400d-4312-8a09-2e751540e531" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_90b01f3a-9256-468d-afdc-925c4025ac4d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashNoncurrent_93d5d177-e468-4f4d-a425-8c3d73059732" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RestrictedCashNoncurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_57fdb742-400d-4312-8a09-2e751540e531" xlink:to="loc_us-gaap_RestrictedCashNoncurrent_93d5d177-e468-4f4d-a425-8c3d73059732" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_dafb6afd-cd81-40aa-a196-e811825e243d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_PaymentsToAcquirePropertyPlantAndEquipmentAndIntangibleAssets_267c7fb5-da23-457a-acba-475996de0966" xlink:href="wdq-20240131.xsd#wdq_PaymentsToAcquirePropertyPlantAndEquipmentAndIntangibleAssets"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_dafb6afd-cd81-40aa-a196-e811825e243d" xlink:to="loc_wdq_PaymentsToAcquirePropertyPlantAndEquipmentAndIntangibleAssets_267c7fb5-da23-457a-acba-475996de0966" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfOtherProductiveAssets_7ab3ab8f-b651-40c5-a77b-11df6246b3dd" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromSaleOfOtherProductiveAssets"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_dafb6afd-cd81-40aa-a196-e811825e243d" xlink:to="loc_us-gaap_ProceedsFromSaleOfOtherProductiveAssets_7ab3ab8f-b651-40c5-a77b-11df6246b3dd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_ProceedsFromLiquidationOfRentalProduct_cb894dd5-cef2-4114-a4c8-412f57671110" xlink:href="wdq-20240131.xsd#wdq_ProceedsFromLiquidationOfRentalProduct"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_dafb6afd-cd81-40aa-a196-e811825e243d" xlink:to="loc_wdq_ProceedsFromLiquidationOfRentalProduct_cb894dd5-cef2-4114-a4c8-412f57671110" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireOtherProductiveAssets_110c567a-08c7-4a39-aaad-b18e115c496a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsToAcquireOtherProductiveAssets"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_dafb6afd-cd81-40aa-a196-e811825e243d" xlink:to="loc_us-gaap_PaymentsToAcquireOtherProductiveAssets_110c567a-08c7-4a39-aaad-b18e115c496a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherNoncurrentAssets_3d9e5610-1831-44ce-9a88-47d8e880b16a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInOtherNoncurrentAssets"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherNoncurrentAssets_3d9e5610-1831-44ce-9a88-47d8e880b16a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInDeferredRevenue_1b61a200-64df-4251-a8db-8c61f85e6de1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInDeferredRevenue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_us-gaap_IncreaseDecreaseInDeferredRevenue_1b61a200-64df-4251-a8db-8c61f85e6de1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_ProceedsFromSaleOfProductiveAssetsOperatingActivities_cf7fcfa7-2020-42d3-b6e9-1a7d4c6dda82" xlink:href="wdq-20240131.xsd#wdq_ProceedsFromSaleOfProductiveAssetsOperatingActivities"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_wdq_ProceedsFromSaleOfProductiveAssetsOperatingActivities_cf7fcfa7-2020-42d3-b6e9-1a7d4c6dda82" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOperatingLeaseLiability_20314c1c-57aa-4b68-8839-f0be736e7506" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInOperatingLeaseLiability"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_us-gaap_IncreaseDecreaseInOperatingLeaseLiability_20314c1c-57aa-4b68-8839-f0be736e7506" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_DepreciationExpenseAndWriteOffRentalProduct_7a6648d8-2953-4d76-8086-25dc9ee0d66b" xlink:href="wdq-20240131.xsd#wdq_DepreciationExpenseAndWriteOffRentalProduct"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_wdq_DepreciationExpenseAndWriteOffRentalProduct_7a6648d8-2953-4d76-8086-25dc9ee0d66b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_IncreaseDecreaseInOperatingLeaseRightOfUseAsset_634cd35f-16b8-4b8e-9ec9-d9fb0585c0ae" xlink:href="wdq-20240131.xsd#wdq_IncreaseDecreaseInOperatingLeaseRightOfUseAsset"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_wdq_IncreaseDecreaseInOperatingLeaseRightOfUseAsset_634cd35f-16b8-4b8e-9ec9-d9fb0585c0ae" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_IncreaseDecreaseInAccountsPayableAccruedLiabilitiesAndOtherLiabilitiesCurrent_9dd72bf9-dd78-495f-ad84-919bf0c3ce43" xlink:href="wdq-20240131.xsd#wdq_IncreaseDecreaseInAccountsPayableAccruedLiabilitiesAndOtherLiabilitiesCurrent"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_wdq_IncreaseDecreaseInAccountsPayableAccruedLiabilitiesAndOtherLiabilitiesCurrent_9dd72bf9-dd78-495f-ad84-919bf0c3ce43" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_OtherDepreciationAmortizationAndPropertyPlantAndEquipmentWriteOffs_796e29a2-2b12-46e8-ad0f-1cf744351afb" xlink:href="wdq-20240131.xsd#wdq_OtherDepreciationAmortizationAndPropertyPlantAndEquipmentWriteOffs"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_wdq_OtherDepreciationAmortizationAndPropertyPlantAndEquipmentWriteOffs_796e29a2-2b12-46e8-ad0f-1cf744351afb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_edab8525-ad55-4631-862c-c615ef3be03b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ShareBasedCompensation"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_us-gaap_ShareBasedCompensation_edab8525-ad55-4631-862c-c615ef3be03b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_LossOnAssetImpairmentRelatedToRestructuring_af44a8d9-3531-45c7-bd5b-24f8b3a27a0b" xlink:href="wdq-20240131.xsd#wdq_LossOnAssetImpairmentRelatedToRestructuring"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_wdq_LossOnAssetImpairmentRelatedToRestructuring_af44a8d9-3531-45c7-bd5b-24f8b3a27a0b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_c3c1ed1d-16f3-4727-80f6-533ba9cb474f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_us-gaap_NetIncomeLoss_c3c1ed1d-16f3-4727-80f6-533ba9cb474f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfDebtDiscountPremium_9efece9f-5fc9-4559-b2ad-444b4c7bad8a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AmortizationOfDebtDiscountPremium"/>
    <link:calculationArc order="12" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_us-gaap_AmortizationOfDebtDiscountPremium_9efece9f-5fc9-4559-b2ad-444b4c7bad8a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities_73fa0815-481a-46c8-a251-a34cb1bef6d7" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities"/>
    <link:calculationArc order="13" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities_73fa0815-481a-46c8-a251-a34cb1bef6d7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_PaidInKindInterestSettlement_99fd3e22-c54d-4fcc-beb5-fa5cd280eeb7" xlink:href="wdq-20240131.xsd#wdq_PaidInKindInterestSettlement"/>
    <link:calculationArc order="14" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_wdq_PaidInKindInterestSettlement_99fd3e22-c54d-4fcc-beb5-fa5cd280eeb7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_GainLossOnLeaseTerminationAndDispositionOfPropertyPlantEquipmentAndIntangibleAssets_c598360b-1d6b-4078-8d37-656445287c22" xlink:href="wdq-20240131.xsd#wdq_GainLossOnLeaseTerminationAndDispositionOfPropertyPlantEquipmentAndIntangibleAssets"/>
    <link:calculationArc order="15" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_wdq_GainLossOnLeaseTerminationAndDispositionOfPropertyPlantEquipmentAndIntangibleAssets_c598360b-1d6b-4078-8d37-656445287c22" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_IncreaseDecreaseInPrepaidExpenseAndOtherAssetsCurrent_85d9bffc-dd3d-4d94-9ed8-9a77f78e5592" xlink:href="wdq-20240131.xsd#wdq_IncreaseDecreaseInPrepaidExpenseAndOtherAssetsCurrent"/>
    <link:calculationArc order="16" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_wdq_IncreaseDecreaseInPrepaidExpenseAndOtherAssetsCurrent_85d9bffc-dd3d-4d94-9ed8-9a77f78e5592" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAdjustmentOfWarrants_d07d6d7f-ca76-45f6-afb8-e5140a3edabd" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FairValueAdjustmentOfWarrants"/>
    <link:calculationArc order="17" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_us-gaap_FairValueAdjustmentOfWarrants_d07d6d7f-ca76-45f6-afb8-e5140a3edabd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaidInKindInterest_182b6197-60e8-4de5-9f03-caa25d759968" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaidInKindInterest"/>
    <link:calculationArc order="18" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_us-gaap_PaidInKindInterest_182b6197-60e8-4de5-9f03-caa25d759968" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_GainLossOnLiquidationOfRentalProduct_a3221c5e-e08b-43a6-b9af-ad5448dda2a9" xlink:href="wdq-20240131.xsd#wdq_GainLossOnLiquidationOfRentalProduct"/>
    <link:calculationArc order="19" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_wdq_GainLossOnLiquidationOfRentalProduct_a3221c5e-e08b-43a6-b9af-ad5448dda2a9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_RentalProductWriteOff_a6d77ebf-dea0-4698-81e5-c1dd4927eeb8" xlink:href="wdq-20240131.xsd#wdq_RentalProductWriteOff"/>
    <link:calculationArc order="20" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_wdq_RentalProductWriteOff_a6d77ebf-dea0-4698-81e5-c1dd4927eeb8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_a3c31210-8a83-40f2-a9e2-e92a64f3d3ec" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_GainsLossesOnExtinguishmentOfDebt"/>
    <link:calculationArc order="21" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_d7524e0e-3e89-44d7-8292-7e60bdc7faa6" xlink:to="loc_us-gaap_GainsLossesOnExtinguishmentOfDebt_a3c31210-8a83-40f2-a9e2-e92a64f3d3ec" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_17252702-4062-47cc-b68b-d129117c14a8" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromOtherShortTermDebt_89d823d0-fa13-4c12-b0d3-a2fd25aea36f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromOtherShortTermDebt"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_17252702-4062-47cc-b68b-d129117c14a8" xlink:to="loc_us-gaap_ProceedsFromOtherShortTermDebt_89d823d0-fa13-4c12-b0d3-a2fd25aea36f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromStockOptionsExercised_cbd3dd94-7837-42d1-aaae-44da52a1806e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromStockOptionsExercised"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_17252702-4062-47cc-b68b-d129117c14a8" xlink:to="loc_us-gaap_ProceedsFromStockOptionsExercised_cbd3dd94-7837-42d1-aaae-44da52a1806e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_60564d4d-1c26-41a8-9628-33de245b8c42" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromPaymentsForOtherFinancingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_17252702-4062-47cc-b68b-d129117c14a8" xlink:to="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_60564d4d-1c26-41a8-9628-33de245b8c42" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceInitialPublicOffering_b7e6d02c-95b9-47af-a771-a72a6390bba3" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromIssuanceInitialPublicOffering"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_17252702-4062-47cc-b68b-d129117c14a8" xlink:to="loc_us-gaap_ProceedsFromIssuanceInitialPublicOffering_b7e6d02c-95b9-47af-a771-a72a6390bba3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfRedeemablePreferredStock_9bcaa0a4-bea0-421c-86eb-78929daecc85" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromIssuanceOfRedeemablePreferredStock"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_17252702-4062-47cc-b68b-d129117c14a8" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfRedeemablePreferredStock_9bcaa0a4-bea0-421c-86eb-78929daecc85" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDebtExtinguishmentCosts_726c4cdc-1faa-42b1-beca-afeecdcfa273" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsOfDebtExtinguishmentCosts"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_17252702-4062-47cc-b68b-d129117c14a8" xlink:to="loc_us-gaap_PaymentsOfDebtExtinguishmentCosts_726c4cdc-1faa-42b1-beca-afeecdcfa273" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfLongTermDebt_3de73ede-5234-46df-88f6-b4962c20cff6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RepaymentsOfLongTermDebt"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_17252702-4062-47cc-b68b-d129117c14a8" xlink:to="loc_us-gaap_RepaymentsOfLongTermDebt_3de73ede-5234-46df-88f6-b4962c20cff6" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/LeasesLesseeAccountingScheduleofLeaseCostDetails" xlink:type="simple" xlink:href="wdq-20240131.xsd#LeasesLesseeAccountingScheduleofLeaseCostDetails"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/LeasesLesseeAccountingScheduleofLeaseCostDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LeaseCost_7db232ea-a6ff-4dbf-9c57-47bb28c1e615" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LeaseCost"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableLeaseCost_bd4d22d4-2e24-4a78-a8b1-c669b28a60ca" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_VariableLeaseCost"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LeaseCost_7db232ea-a6ff-4dbf-9c57-47bb28c1e615" xlink:to="loc_us-gaap_VariableLeaseCost_bd4d22d4-2e24-4a78-a8b1-c669b28a60ca" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_FixedLeaseCosts_eb2f6079-b723-465c-adb0-2528b579e5a4" xlink:href="wdq-20240131.xsd#wdq_FixedLeaseCosts"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LeaseCost_7db232ea-a6ff-4dbf-9c57-47bb28c1e615" xlink:to="loc_wdq_FixedLeaseCosts_eb2f6079-b723-465c-adb0-2528b579e5a4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_FixedLeaseCosts_9bb2625e-c483-4891-abde-8e2d49333c7a" xlink:href="wdq-20240131.xsd#wdq_FixedLeaseCosts"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseCost_d8dfde0b-e3da-4726-8d2e-cb1137dd009a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OperatingLeaseCost"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_FixedLeaseCosts_9bb2625e-c483-4891-abde-8e2d49333c7a" xlink:to="loc_us-gaap_OperatingLeaseCost_d8dfde0b-e3da-4726-8d2e-cb1137dd009a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShortTermLeaseCost_57cf4c80-1302-46d6-bb63-3addd55da7c6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ShortTermLeaseCost"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_FixedLeaseCosts_9bb2625e-c483-4891-abde-8e2d49333c7a" xlink:to="loc_us-gaap_ShortTermLeaseCost_57cf4c80-1302-46d6-bb63-3addd55da7c6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_LeaseCostNet_54b68795-8ac0-4b65-af17-80ba4608005a" xlink:href="wdq-20240131.xsd#wdq_LeaseCostNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LeaseCost_2399dd68-0dfd-45bf-91a6-f6e9157068b6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LeaseCost"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_LeaseCostNet_54b68795-8ac0-4b65-af17-80ba4608005a" xlink:to="loc_us-gaap_LeaseCost_2399dd68-0dfd-45bf-91a6-f6e9157068b6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubleaseIncome_c77b286b-8d31-4095-909f-94fbe1ce877c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SubleaseIncome"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_LeaseCostNet_54b68795-8ac0-4b65-af17-80ba4608005a" xlink:to="loc_us-gaap_SubleaseIncome_c77b286b-8d31-4095-909f-94fbe1ce877c" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/LeasesLesseeAccountingLeaseMaturityPaymentsDetails" xlink:type="simple" xlink:href="wdq-20240131.xsd#LeasesLesseeAccountingLeaseMaturityPaymentsDetails"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/LeasesLesseeAccountingLeaseMaturityPaymentsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_339e88e6-8280-492f-954b-a0618d86c518" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_2e905115-8cab-4836-aa5b-b8a8d5bb2c28" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_339e88e6-8280-492f-954b-a0618d86c518" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_2e905115-8cab-4836-aa5b-b8a8d5bb2c28" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_46772132-7945-4bdc-a259-015d38e0606f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_339e88e6-8280-492f-954b-a0618d86c518" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_46772132-7945-4bdc-a259-015d38e0606f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_3e447e1d-89c4-4b34-a2e2-b86c65636c4f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_339e88e6-8280-492f-954b-a0618d86c518" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_3e447e1d-89c4-4b34-a2e2-b86c65636c4f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_30e23d07-a265-42a4-9612-599083f3b478" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_339e88e6-8280-492f-954b-a0618d86c518" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_30e23d07-a265-42a4-9612-599083f3b478" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_ef3a4043-c178-4424-97af-6b92508643bd" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_339e88e6-8280-492f-954b-a0618d86c518" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_ef3a4043-c178-4424-97af-6b92508643bd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_f1abbb2d-0e16-4205-baf6-c47047437381" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_339e88e6-8280-492f-954b-a0618d86c518" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_f1abbb2d-0e16-4205-baf6-c47047437381" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_90e6a84e-6278-4b25-9281-0012611e1ce6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityUndiscountedExcessAmount_62d73ad7-ac2a-4dd0-8ffd-c30ae5517d79" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinanceLeaseLiabilityUndiscountedExcessAmount"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_90e6a84e-6278-4b25-9281-0012611e1ce6" xlink:to="loc_us-gaap_FinanceLeaseLiabilityUndiscountedExcessAmount_62d73ad7-ac2a-4dd0-8ffd-c30ae5517d79" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiability_76d563ae-74da-47c6-8761-8153ef0a9d52" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinanceLeaseLiability"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_90e6a84e-6278-4b25-9281-0012611e1ce6" xlink:to="loc_us-gaap_FinanceLeaseLiability_76d563ae-74da-47c6-8761-8153ef0a9d52" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/LeasesLesseeAccountingLeaseMaturityPaymentsDetails_1" xlink:type="simple" xlink:href="wdq-20240131.xsd#LeasesLesseeAccountingLeaseMaturityPaymentsDetails_1"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/LeasesLesseeAccountingLeaseMaturityPaymentsDetails_1" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_3fd88047-f9f7-43eb-8774-0d7a9608f06e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiability_f03cb0ae-6d5f-4fbf-8e4b-1523f34e4283" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OperatingLeaseLiability"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_3fd88047-f9f7-43eb-8774-0d7a9608f06e" xlink:to="loc_us-gaap_OperatingLeaseLiability_f03cb0ae-6d5f-4fbf-8e4b-1523f34e4283" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_7baa2a9e-d892-4050-a362-3c42aa77465b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_3fd88047-f9f7-43eb-8774-0d7a9608f06e" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_7baa2a9e-d892-4050-a362-3c42aa77465b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_ea530cc8-8432-4488-8d84-262cf75fd581" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearThree_96b29b09-2072-4cea-a62e-42502ae5ddf4" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueYearThree"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_ea530cc8-8432-4488-8d84-262cf75fd581" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearThree_96b29b09-2072-4cea-a62e-42502ae5ddf4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearFour_65e7a315-519b-43d6-a05c-d4fe72765671" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueYearFour"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_ea530cc8-8432-4488-8d84-262cf75fd581" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearFour_65e7a315-519b-43d6-a05c-d4fe72765671" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueNextTwelveMonths_c5836e5f-3d71-4311-a2a8-d620f925aaec" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueNextTwelveMonths"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_ea530cc8-8432-4488-8d84-262cf75fd581" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueNextTwelveMonths_c5836e5f-3d71-4311-a2a8-d620f925aaec" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearTwo_2484b64f-0a72-4e41-965b-2d0cd070a009" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueYearTwo"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_ea530cc8-8432-4488-8d84-262cf75fd581" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearTwo_2484b64f-0a72-4e41-965b-2d0cd070a009" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueAfterYearFive_c750b6d1-097f-45b8-a81f-731858bb6772" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueAfterYearFive"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_ea530cc8-8432-4488-8d84-262cf75fd581" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueAfterYearFive_c750b6d1-097f-45b8-a81f-731858bb6772" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearFive_f933965b-de2f-41dc-a7fa-01f78b6f2a8d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueYearFive"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_ea530cc8-8432-4488-8d84-262cf75fd581" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearFive_f933965b-de2f-41dc-a7fa-01f78b6f2a8d" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/RentalProductNetRentalProductBreakdownDetails" xlink:type="simple" xlink:href="wdq-20240131.xsd#RentalProductNetRentalProductBreakdownDetails"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/RentalProductNetRentalProductBreakdownDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_wdq_RentalProductNet_ceb0016a-932d-4b4d-a661-c9c1c0e7b281" xlink:href="wdq-20240131.xsd#wdq_RentalProductNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_RentalProductGross_2d1e3480-fba1-4319-b7ca-74098927ae54" xlink:href="wdq-20240131.xsd#wdq_RentalProductGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_RentalProductNet_ceb0016a-932d-4b4d-a661-c9c1c0e7b281" xlink:to="loc_wdq_RentalProductGross_2d1e3480-fba1-4319-b7ca-74098927ae54" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_AccumulatedDepreciationDepletionAndAmortizationRentalProduct_409aaf06-8966-412e-9519-b9c0c46170a3" xlink:href="wdq-20240131.xsd#wdq_AccumulatedDepreciationDepletionAndAmortizationRentalProduct"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_RentalProductNet_ceb0016a-932d-4b4d-a661-c9c1c0e7b281" xlink:to="loc_wdq_AccumulatedDepreciationDepletionAndAmortizationRentalProduct_409aaf06-8966-412e-9519-b9c0c46170a3" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/FixedandIntangibleAssetsNetFixedandIntangibleAssetsDetails" xlink:type="simple" xlink:href="wdq-20240131.xsd#FixedandIntangibleAssetsNetFixedandIntangibleAssetsDetails"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/FixedandIntangibleAssetsNetFixedandIntangibleAssetsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAfterAccumulatedDepreciationAndAmortization_3e67915b-aabc-469a-8518-2e7017b36f4d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAfterAccumulatedDepreciationAndAmortization"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAccumulatedDepreciationAndAmortization_c553d9aa-55fd-44e8-a81d-d8ff75ddfd80" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAccumulatedDepreciationAndAmortization"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAfterAccumulatedDepreciationAndAmortization_3e67915b-aabc-469a-8518-2e7017b36f4d" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAccumulatedDepreciationAndAmortization_c553d9aa-55fd-44e8-a81d-d8ff75ddfd80" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization_36389ee8-9296-4c2d-aca6-b502893dd7e1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAfterAccumulatedDepreciationAndAmortization_3e67915b-aabc-469a-8518-2e7017b36f4d" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization_36389ee8-9296-4c2d-aca6-b502893dd7e1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_a58d08cc-f863-43e9-9a3d-848b1ada5c9b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IntangibleAssetsNetExcludingGoodwill"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsGross_2c9f1293-e51a-4f32-a3e8-44a35780e49c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FiniteLivedIntangibleAssetsGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_a58d08cc-f863-43e9-9a3d-848b1ada5c9b" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsGross_2c9f1293-e51a-4f32-a3e8-44a35780e49c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_df02ff68-b6a3-4c77-b5d3-67c9be5736ab" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_a58d08cc-f863-43e9-9a3d-848b1ada5c9b" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_df02ff68-b6a3-4c77-b5d3-67c9be5736ab" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization_94c69122-53d5-4b37-bc68-6b9849f26970" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentGross_0eab3a39-563d-4d33-aa16-e978aff9fdfc" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PropertyPlantAndEquipmentGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization_94c69122-53d5-4b37-bc68-6b9849f26970" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentGross_0eab3a39-563d-4d33-aa16-e978aff9fdfc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseRightOfUseAssetBeforeAccumulatedAmortization_16735e47-d836-49b4-abc7-b7f77b623301" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FinanceLeaseRightOfUseAssetBeforeAccumulatedAmortization"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization_94c69122-53d5-4b37-bc68-6b9849f26970" xlink:to="loc_us-gaap_FinanceLeaseRightOfUseAssetBeforeAccumulatedAmortization_16735e47-d836-49b4-abc7-b7f77b623301" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/FixedandIntangibleAssetsNetAmortizationExpenseDetails" xlink:type="simple" xlink:href="wdq-20240131.xsd#FixedandIntangibleAssetsNetAmortizationExpenseDetails"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/FixedandIntangibleAssetsNetAmortizationExpenseDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsNet_65d1a79d-3c86-4c60-a02a-a3fa8ffb71f8" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FiniteLivedIntangibleAssetsNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_95b6940c-02bf-4bd0-90eb-8f8cd9e00764" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_65d1a79d-3c86-4c60-a02a-a3fa8ffb71f8" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_95b6940c-02bf-4bd0-90eb-8f8cd9e00764" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_0488c708-3920-4f1d-8c19-12a770d80fc7" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_65d1a79d-3c86-4c60-a02a-a3fa8ffb71f8" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_0488c708-3920-4f1d-8c19-12a770d80fc7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_FiniteLivedIntangibleAssetExpectedAmortizationAfterYearThree_9964740a-1734-4c30-835d-999dde1770e4" xlink:href="wdq-20240131.xsd#wdq_FiniteLivedIntangibleAssetExpectedAmortizationAfterYearThree"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_65d1a79d-3c86-4c60-a02a-a3fa8ffb71f8" xlink:to="loc_wdq_FiniteLivedIntangibleAssetExpectedAmortizationAfterYearThree_9964740a-1734-4c30-835d-999dde1770e4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_5f2e4b2c-3040-4b93-a433-0a1bc4b4e97c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_65d1a79d-3c86-4c60-a02a-a3fa8ffb71f8" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_5f2e4b2c-3040-4b93-a433-0a1bc4b4e97c" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/LongTermDebtScheduleofLongTermDebtDetails" xlink:type="simple" xlink:href="wdq-20240131.xsd#LongTermDebtScheduleofLongTermDebtDetails"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/LongTermDebtScheduleofLongTermDebtDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_35361eb6-916c-4412-b6aa-cbb677042fe3" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LongTermDebt"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtCurrent_42b719d5-28df-4553-9a5e-a7623b4f97f7" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LongTermDebtCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_35361eb6-916c-4412-b6aa-cbb677042fe3" xlink:to="loc_us-gaap_LongTermDebtCurrent_42b719d5-28df-4553-9a5e-a7623b4f97f7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtNoncurrent_3bc012f3-d905-48c0-be8a-92f9488dc32f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LongTermDebtNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_35361eb6-916c-4412-b6aa-cbb677042fe3" xlink:to="loc_us-gaap_LongTermDebtNoncurrent_3bc012f3-d905-48c0-be8a-92f9488dc32f" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/LongTermDebtScheduleofLongTermDebtDetails_1" xlink:type="simple" xlink:href="wdq-20240131.xsd#LongTermDebtScheduleofLongTermDebtDetails_1"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/LongTermDebtScheduleofLongTermDebtDetails_1" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_859bd0d0-1233-4e35-9188-3cc0dca3bb36" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LongTermDebt"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentUnamortizedDiscount_90e2bf1c-1aba-4560-ae22-72509775c72f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtInstrumentUnamortizedDiscount"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_859bd0d0-1233-4e35-9188-3cc0dca3bb36" xlink:to="loc_us-gaap_DebtInstrumentUnamortizedDiscount_90e2bf1c-1aba-4560-ae22-72509775c72f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentCarryingAmount_8db3e2c9-e144-48f6-9ea0-124aa0b3910e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtInstrumentCarryingAmount"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_859bd0d0-1233-4e35-9188-3cc0dca3bb36" xlink:to="loc_us-gaap_DebtInstrumentCarryingAmount_8db3e2c9-e144-48f6-9ea0-124aa0b3910e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_DebtInstrumentPaymentInKindInterest_e74eb73a-4126-4763-9fd9-8219d79173ef" xlink:href="wdq-20240131.xsd#wdq_DebtInstrumentPaymentInKindInterest"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_859bd0d0-1233-4e35-9188-3cc0dca3bb36" xlink:to="loc_wdq_DebtInstrumentPaymentInKindInterest_e74eb73a-4126-4763-9fd9-8219d79173ef" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/IncomeTaxesLossbeforeIncomeTaxDetails" xlink:type="simple" xlink:href="wdq-20240131.xsd#IncomeTaxesLossbeforeIncomeTaxDetails"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/IncomeTaxesLossbeforeIncomeTaxDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_f0ed7825-8b93-439c-b123-2e93d27c84e2" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic_fd995792-0196-468b-9e6a-628cc0196a76" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_f0ed7825-8b93-439c-b123-2e93d27c84e2" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic_fd995792-0196-468b-9e6a-628cc0196a76" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign_02c75d65-5f76-4d4c-83d6-b1b570fe7139" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_f0ed7825-8b93-439c-b123-2e93d27c84e2" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign_02c75d65-5f76-4d4c-83d6-b1b570fe7139" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/IncomeTaxesAllocationofIncomeTaxDetails" xlink:type="simple" xlink:href="wdq-20240131.xsd#IncomeTaxesAllocationofIncomeTaxDetails"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/IncomeTaxesAllocationofIncomeTaxDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_e3aa2d85-79b8-4d5a-a35d-695c23fd0a93" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CurrentIncomeTaxExpenseBenefit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentStateAndLocalTaxExpenseBenefit_5ae5cc9e-5a92-4304-bd81-81f31aa414d6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CurrentStateAndLocalTaxExpenseBenefit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_e3aa2d85-79b8-4d5a-a35d-695c23fd0a93" xlink:to="loc_us-gaap_CurrentStateAndLocalTaxExpenseBenefit_5ae5cc9e-5a92-4304-bd81-81f31aa414d6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentFederalTaxExpenseBenefit_58990101-5c3f-46f6-9fdb-548603f745c7" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CurrentFederalTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_e3aa2d85-79b8-4d5a-a35d-695c23fd0a93" xlink:to="loc_us-gaap_CurrentFederalTaxExpenseBenefit_58990101-5c3f-46f6-9fdb-548603f745c7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentForeignTaxExpenseBenefit_ef447dd9-8605-4185-83ca-5259d0a4cbc9" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CurrentForeignTaxExpenseBenefit"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_e3aa2d85-79b8-4d5a-a35d-695c23fd0a93" xlink:to="loc_us-gaap_CurrentForeignTaxExpenseBenefit_ef447dd9-8605-4185-83ca-5259d0a4cbc9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_e391ef64-0b08-4ce7-a1a3-5acc0eca5eb3" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_2c340c99-5e6c-4cc2-b910-7b358263cf5a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_e391ef64-0b08-4ce7-a1a3-5acc0eca5eb3" xlink:to="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_2c340c99-5e6c-4cc2-b910-7b358263cf5a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_1b5350e2-0334-4d2b-bd5e-cb1223f51b99" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CurrentIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_e391ef64-0b08-4ce7-a1a3-5acc0eca5eb3" xlink:to="loc_us-gaap_CurrentIncomeTaxExpenseBenefit_1b5350e2-0334-4d2b-bd5e-cb1223f51b99" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_97f83b9f-7f45-4743-ac7f-056ab5a3cd7e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredForeignIncomeTaxExpenseBenefit_77e03f27-4004-45d9-bff5-9e67920c9ad8" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredForeignIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_97f83b9f-7f45-4743-ac7f-056ab5a3cd7e" xlink:to="loc_us-gaap_DeferredForeignIncomeTaxExpenseBenefit_77e03f27-4004-45d9-bff5-9e67920c9ad8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit_e4d621d9-2cc1-482e-add2-4605538d6283" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_97f83b9f-7f45-4743-ac7f-056ab5a3cd7e" xlink:to="loc_us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit_e4d621d9-2cc1-482e-add2-4605538d6283" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFederalIncomeTaxExpenseBenefit_93b1517c-21d2-4bdf-bfcf-c22bcaba30e5" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredFederalIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_97f83b9f-7f45-4743-ac7f-056ab5a3cd7e" xlink:to="loc_us-gaap_DeferredFederalIncomeTaxExpenseBenefit_93b1517c-21d2-4bdf-bfcf-c22bcaba30e5" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/IncomeTaxesDeferredTaxAssetsLiabilitiesDetails" xlink:type="simple" xlink:href="wdq-20240131.xsd#IncomeTaxesDeferredTaxAssetsLiabilitiesDetails"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/IncomeTaxesDeferredTaxAssetsLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsLiabilitiesNet_ae005647-2c2f-48d7-911c-73db6185468f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxAssetsLiabilitiesNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_DeferredTaxAssetsNetOfDeferredTaxLiabilitiesGross_f43864af-7ebb-4f3c-963f-7d167792dd3e" xlink:href="wdq-20240131.xsd#wdq_DeferredTaxAssetsNetOfDeferredTaxLiabilitiesGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsLiabilitiesNet_ae005647-2c2f-48d7-911c-73db6185468f" xlink:to="loc_wdq_DeferredTaxAssetsNetOfDeferredTaxLiabilitiesGross_f43864af-7ebb-4f3c-963f-7d167792dd3e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsValuationAllowance_27adb561-214b-46b4-8b8e-69394fefd8dd" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxAssetsValuationAllowance"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsLiabilitiesNet_ae005647-2c2f-48d7-911c-73db6185468f" xlink:to="loc_us-gaap_DeferredTaxAssetsValuationAllowance_27adb561-214b-46b4-8b8e-69394fefd8dd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsGross_7872dbb0-3283-4fae-bfe2-3236c61cbcd4" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxAssetsGross"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_633e9c96-8017-4184-9d8d-adeecc91301c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxAssetsOperatingLossCarryforwards"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_7872dbb0-3283-4fae-bfe2-3236c61cbcd4" xlink:to="loc_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_633e9c96-8017-4184-9d8d-adeecc91301c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsDeferredIncome_4638cf73-b6f6-4dd4-8be1-64e9d9d8dd36" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxAssetsDeferredIncome"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_7872dbb0-3283-4fae-bfe2-3236c61cbcd4" xlink:to="loc_us-gaap_DeferredTaxAssetsDeferredIncome_4638cf73-b6f6-4dd4-8be1-64e9d9d8dd36" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsInProcessResearchAndDevelopment_c2fd1227-aad8-4c3b-856a-f9af091f3b8b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxAssetsInProcessResearchAndDevelopment"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_7872dbb0-3283-4fae-bfe2-3236c61cbcd4" xlink:to="loc_us-gaap_DeferredTaxAssetsInProcessResearchAndDevelopment_c2fd1227-aad8-4c3b-856a-f9af091f3b8b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsTaxCreditCarryforwards_caaccb63-db4b-46ef-8b40-18ef47e45ad2" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxAssetsTaxCreditCarryforwards"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_7872dbb0-3283-4fae-bfe2-3236c61cbcd4" xlink:to="loc_us-gaap_DeferredTaxAssetsTaxCreditCarryforwards_caaccb63-db4b-46ef-8b40-18ef47e45ad2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsOther_57b45474-86c2-4718-8a2e-619c1cc25407" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxAssetsOther"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_7872dbb0-3283-4fae-bfe2-3236c61cbcd4" xlink:to="loc_us-gaap_DeferredTaxAssetsOther_57b45474-86c2-4718-8a2e-619c1cc25407" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetInterestCarryforward_ce6e2628-b396-4dff-9d22-1e573d0b08e0" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxAssetInterestCarryforward"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_7872dbb0-3283-4fae-bfe2-3236c61cbcd4" xlink:to="loc_us-gaap_DeferredTaxAssetInterestCarryforward_ce6e2628-b396-4dff-9d22-1e573d0b08e0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_DeferredTaxAssetsLeasingArrangements_c76a7c48-a436-4d47-9951-351714df92fd" xlink:href="wdq-20240131.xsd#wdq_DeferredTaxAssetsLeasingArrangements"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_7872dbb0-3283-4fae-bfe2-3236c61cbcd4" xlink:to="loc_wdq_DeferredTaxAssetsLeasingArrangements_c76a7c48-a436-4d47-9951-351714df92fd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost_e2597374-4a3a-4f0b-8f70-ba324f1f96f7" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_7872dbb0-3283-4fae-bfe2-3236c61cbcd4" xlink:to="loc_us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost_e2597374-4a3a-4f0b-8f70-ba324f1f96f7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsPropertyPlantAndEquipment_7a748851-5795-4b29-8743-8c658d2b93df" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxAssetsPropertyPlantAndEquipment"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_7872dbb0-3283-4fae-bfe2-3236c61cbcd4" xlink:to="loc_us-gaap_DeferredTaxAssetsPropertyPlantAndEquipment_7a748851-5795-4b29-8743-8c658d2b93df" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_DeferredTaxAssetsNetOfDeferredTaxLiabilitiesGross_f951c886-c2e2-4bb8-b4ee-db3b8890e534" xlink:href="wdq-20240131.xsd#wdq_DeferredTaxAssetsNetOfDeferredTaxLiabilitiesGross"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsGross_8f3c55bc-14c9-4218-9713-68588432365f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxAssetsGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_DeferredTaxAssetsNetOfDeferredTaxLiabilitiesGross_f951c886-c2e2-4bb8-b4ee-db3b8890e534" xlink:to="loc_us-gaap_DeferredTaxAssetsGross_8f3c55bc-14c9-4218-9713-68588432365f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilities_8f333d47-56f1-4cd4-9c7c-30e8fd531eda" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredIncomeTaxLiabilities"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_DeferredTaxAssetsNetOfDeferredTaxLiabilitiesGross_f951c886-c2e2-4bb8-b4ee-db3b8890e534" xlink:to="loc_us-gaap_DeferredIncomeTaxLiabilities_8f333d47-56f1-4cd4-9c7c-30e8fd531eda" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilities_a91b94d5-e479-4e70-959a-62bc19cd1980" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredIncomeTaxLiabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment_ca54610f-72b8-43ef-951c-67274a838dae" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilities_a91b94d5-e479-4e70-959a-62bc19cd1980" xlink:to="loc_us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment_ca54610f-72b8-43ef-951c-67274a838dae" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxLiabilitiesLeasingArrangements_b8dc1e11-6c0d-4326-8494-3def7585ce37" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DeferredTaxLiabilitiesLeasingArrangements"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilities_a91b94d5-e479-4e70-959a-62bc19cd1980" xlink:to="loc_us-gaap_DeferredTaxLiabilitiesLeasingArrangements_b8dc1e11-6c0d-4326-8494-3def7585ce37" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/IncomeTaxesTaxRateReconciliationDetails" xlink:type="simple" xlink:href="wdq-20240131.xsd#IncomeTaxesTaxRateReconciliationDetails"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/IncomeTaxesTaxRateReconciliationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_bd8f5293-a4fd-4f17-9c04-56c24b98b337" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_EffectiveIncomeTaxRateContinuingOperations"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments_98c36fe0-eb71-4edd-ae0f-d29a3163a232" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_bd8f5293-a4fd-4f17-9c04-56c24b98b337" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments_98c36fe0-eb71-4edd-ae0f-d29a3163a232" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes_d8742128-1008-44ed-b7ce-f00820999b66" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_bd8f5293-a4fd-4f17-9c04-56c24b98b337" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes_d8742128-1008-44ed-b7ce-f00820999b66" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_EffectiveIncomeTaxRateReconciliationChangeInValuationOfWarrantsPercent_309e7601-0d4f-4baa-a800-7a5cf2941fba" xlink:href="wdq-20240131.xsd#wdq_EffectiveIncomeTaxRateReconciliationChangeInValuationOfWarrantsPercent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_bd8f5293-a4fd-4f17-9c04-56c24b98b337" xlink:to="loc_wdq_EffectiveIncomeTaxRateReconciliationChangeInValuationOfWarrantsPercent_309e7601-0d4f-4baa-a800-7a5cf2941fba" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_61665390-c97b-42f1-ac0f-f2ea29ed47c0" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_bd8f5293-a4fd-4f17-9c04-56c24b98b337" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_61665390-c97b-42f1-ac0f-f2ea29ed47c0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent_bd1662af-b768-42e4-8efe-812236d44201" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_bd8f5293-a4fd-4f17-9c04-56c24b98b337" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent_bd1662af-b768-42e4-8efe-812236d44201" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseTransactionCostsPercent_960092c9-7ec4-486f-899a-5a340b78b7ce" xlink:href="wdq-20240131.xsd#wdq_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseTransactionCostsPercent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_bd8f5293-a4fd-4f17-9c04-56c24b98b337" xlink:to="loc_wdq_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseTransactionCostsPercent_960092c9-7ec4-486f-899a-5a340b78b7ce" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_85c9a7de-6c5e-46fd-a64e-e50897bc972c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_bd8f5293-a4fd-4f17-9c04-56c24b98b337" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_85c9a7de-6c5e-46fd-a64e-e50897bc972c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseShareBasedCompensationCost_813c658e-5a77-437a-b7c6-9b651d203282" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseShareBasedCompensationCost"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_bd8f5293-a4fd-4f17-9c04-56c24b98b337" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseShareBasedCompensationCost_813c658e-5a77-437a-b7c6-9b651d203282" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.renttherunway.com/role/AccruedExpensesandOtherCurrentLiabilitiesDetails" xlink:type="simple" xlink:href="wdq-20240131.xsd#AccruedExpensesandOtherCurrentLiabilitiesDetails"/>
  <link:calculationLink xlink:role="http://www.renttherunway.com/role/AccruedExpensesandOtherCurrentLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_wdq_AccruedLiabilitiesAndOtherLiabilitiesCurrent_8aee03d0-d086-493f-81ec-24ae16d1859a" xlink:href="wdq-20240131.xsd#wdq_AccruedLiabilitiesAndOtherLiabilitiesCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmployeeRelatedLiabilitiesCurrent_3f3c7238-61f4-4d55-8c80-217a3c03cf17" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_EmployeeRelatedLiabilitiesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_AccruedLiabilitiesAndOtherLiabilitiesCurrent_8aee03d0-d086-493f-81ec-24ae16d1859a" xlink:to="loc_us-gaap_EmployeeRelatedLiabilitiesCurrent_3f3c7238-61f4-4d55-8c80-217a3c03cf17" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxesPayableCurrent_54759001-d8be-45a9-bb3a-728c36ed7679" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_TaxesPayableCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_AccruedLiabilitiesAndOtherLiabilitiesCurrent_8aee03d0-d086-493f-81ec-24ae16d1859a" xlink:to="loc_us-gaap_TaxesPayableCurrent_54759001-d8be-45a9-bb3a-728c36ed7679" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_RevenueSharePayable_63213fdc-8df6-44d6-aac6-c023e13f221c" xlink:href="wdq-20240131.xsd#wdq_RevenueSharePayable"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_AccruedLiabilitiesAndOtherLiabilitiesCurrent_8aee03d0-d086-493f-81ec-24ae16d1859a" xlink:to="loc_wdq_RevenueSharePayable_63213fdc-8df6-44d6-aac6-c023e13f221c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_wdq_AccruedOperatingAndGeneralLiabilitiesCurrent_edbaa491-608d-4ca7-8e57-8f91d9a25612" xlink:href="wdq-20240131.xsd#wdq_AccruedOperatingAndGeneralLiabilitiesCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_AccruedLiabilitiesAndOtherLiabilitiesCurrent_8aee03d0-d086-493f-81ec-24ae16d1859a" xlink:to="loc_wdq_AccruedOperatingAndGeneralLiabilitiesCurrent_edbaa491-608d-4ca7-8e57-8f91d9a25612" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestPayableCurrent_c333b976-945a-4160-aef7-86535ec39946" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestPayableCurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_AccruedLiabilitiesAndOtherLiabilitiesCurrent_8aee03d0-d086-493f-81ec-24ae16d1859a" xlink:to="loc_us-gaap_InterestPayableCurrent_c333b976-945a-4160-aef7-86535ec39946" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerLiabilityCurrent_70b9b799-5a40-4419-b379-9a589f98b1d8" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ContractWithCustomerLiabilityCurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_AccruedLiabilitiesAndOtherLiabilitiesCurrent_8aee03d0-d086-493f-81ec-24ae16d1859a" xlink:to="loc_us-gaap_ContractWithCustomerLiabilityCurrent_70b9b799-5a40-4419-b379-9a589f98b1d8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShortTermBorrowings_170867a9-1729-470a-a124-f1b60b7b8cb7" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ShortTermBorrowings"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_wdq_AccruedLiabilitiesAndOtherLiabilitiesCurrent_8aee03d0-d086-493f-81ec-24ae16d1859a" xlink:to="loc_us-gaap_ShortTermBorrowings_170867a9-1729-470a-a124-f1b60b7b8cb7" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
