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-5473941 + 5650? -5468291 What is -142742.5 plus -0.05? -142742.55 Sum -823288 and -0.52. -823288.52 Work out -1 - 18533628. -18533629 Work out 22505 - -352284. 374789 Total of -41311 and 107454. 66143 16608.073903+-3 16605.073903 Put together 0 and 15.8842949. 15.8842949 Add together 25948 and -3.481. 25944.519 What is 807066 minus -37? 807103 -685.07304 - 0.5 -685.57304 What is -956190 minus 4.7? -956194.7 What is 5611597 take away -0.2? 5611597.2 Calculate 61295136 - -0.08. 61295136.08 What is 8318.8133 plus -0.035? 8318.7783 Sum 1.1077 and 39544. 39545.1077 Work out 713667 - -141. 713808 -1.343+19697559 19697557.657 What is 512 - 0.03150714? 511.96849286 Calculate 16822.2 + 0.049. 16822.249 What is -1.0161 less than 0.059? 1.0751 Put together 817864881 and 16. 817864897 What is the difference between 138078173 and 0.13? 138078172.87 Add -132070 and 41.33. -132028.67 Calculate 70.27 + 0.435038. 70.705038 What is 93128.446 + -1? 93127.446 Add together 3.4865691 and 9. 12.4865691 What is 50391 - 69? 50322 What is 8 + -47607169? -47607161 What is 1168693 plus -4? 1168689 Add 231986679 and 0. 231986679 -147 + -60430 -60577 Sum -1.37102 and -464. -465.37102 Add together 29 and 1491.84043. 1520.84043 What is -190377 minus -288? -190089 What is -584599 + -1.7? -584600.7 Total of 7779123 and 1673. 7780796 What is -27889 minus 1.46801? -27890.46801 What is 77.5523 less than 0.173? -77.3793 Work out -0.4815 - 62.213. -62.6945 146 - -0.874443 146.874443 Add together -1 and 839369. 839368 What is the distance between -819 and 0.33855057? 819.33855057 Put together 0.03 and -390127370. -390127369.97 Put together 295297024 and 0. 295297024 What is the distance between 285.5 and 0.05896? 285.44104 Calculate 6770 - 6267. 503 Put together 1055 and -2435. -1380 Work out -61.016 + -0.20556. -61.22156 2 - -0.1922619958 2.1922619958 Work out -222755842 - 0.44. -222755842.44 Total of 0.0114326692 and 121. 121.0114326692 Total of 1.9897182 and 38.5. 40.4897182 172579083 - -0.06 172579083.06 Add together 1380572 and 885. 1381457 Calculate -56082196 + -1.18. -56082197.18 Work out -0.18 + 0.4147309. 0.2347309 Subtract 1078908.4 from -0.5. -1078908.9 What is -13.52 plus -3734? -3747.52 Sum -11381 and 32.557. -11348.443 What is the difference between 103 and 107111? 107008 What is -16 - 828517? -828533 Sum 0.15097 and 19300. 19300.15097 Calculate 39 - 63388.181. -63349.181 What is 40 - 11335328? -11335288 -1247+-863807.7 -865054.7 Put together 789.3758 and 10. 799.3758 What is 679264.2 take away 3? 679261.2 Sum -5.2967 and 626.2. 620.9033 What is -380.491 less than 17? 397.491 Subtract 38704000 from -4394. -38708394 What is 1378483 + 35? 1378518 Work out -64717267 - -0.8. -64717266.2 What is -0.08258049 plus -7.9? -7.98258049 Calculate -16702998 + -1. -16702999 Work out -104255432 + 0.3. -104255431.7 What is the difference between -5225 and 626? 5851 What is 0.8 take away -2865410? 2865410.8 Sum 0.9 and 2762819.122. 2762820.022 What is -2 plus 10867479? 10867477 What is -0.01 take away 182769.958? -182769.968 Add together -16.49773 and 5. -11.49773 What is 3.7603 less than -1009? -1012.7603 -28667+-20182 -48849 -8 + 198964 198956 What is -3 + 7571844.77? 7571841.77 What is 17275 minus 12125? 5150 Work out -1256 + 220050. 218794 Calculate -0.19 - -17477658.9. 17477658.71 What is 59795.174 take away -2? 59797.174 What is 585686 + -0.26? 585685.74 Calculate 9062 + 1539.9. 10601.9 What is the distance between -9253093 and -72? 9253021 0.05831542 - -2.2 2.25831542 What is 0.5 minus 0.30120056? 0.19879944 Calculate 56801189 - -0.4. 56801189.4 39022+-1707 37315 Put together 29970676 and 16. 29970692 Sum 24894 and 78515. 103409 What is -0.6290686 plus 0.1327? -0.4963686 What is 0 - 6079859124? -6079859124 Add together 63801408 and -0.053. 63801407.947 Work out -2.1 - -873085. 873082.9 Sum -0.06 and -2301.632. -2301.692 What is 375 minus -2.992435? 377.992435 What is the difference between 6 and 344716696? 344716690 What is the difference between -0.010454 and -385? 384.989546 1785067+11 1785078 Subtract 319170.2 from -1276. -320446.2 What is -5 less than 53.444332? 58.444332 Calculate 3 + 5078488. 5078491 Add 2815031 and -836. 2814195 Calculate 0.58 + 0.45056. 1.03056 Add 42983 and -199745. -156762 Sum 269503 and 0.114. 269503.114 0.04292534493+5 5.04292534493 What is -865.17 take away -1140? 274.83 -9+4.025321 -4.974679 Work out 175383739 + 0.07. 175383739.07 Work out -1041134 + 0.005. -1041133.995 Total of -180557605 and 5. -180557600 What is -417525342 - 0.58? -417525342.58 Add together 0.4 and -59090456. -59090455.6 What is -13 plus 1267912852? 1267912839 -0.4 - -56681996 56681995.6 Work out 3601.1 + 1075. 4676.1 Calculate -2.37 + 0.1024772. -2.2675228 Add together 0.7 and 20305046. 20305046.7 Put together -4.15 and -1375656. -1375660.15 Add together -7539901966 and 0. -7539901966 What is 8.63429 minus 1249.9? -1241.26571 Put together -9768 and 21429. 11661 -0.0037 - 8.9206 -8.9243 Calculate 0.34 - -126848419. 126848419.34 Work out 0.1 - -166275813. 166275813.1 What is -5 plus -861449779? -861449784 What is -3.929 - 1779027.1? -1779031.029 Subtract -4 from -1034903.0761. -1034899.0761 Work out 45677.78 - 0.1679. 45677.6121 Total of 1.3895651 and 0. 1.3895651 Sum 409.9995418 and -2. 407.9995418 What is -7334.41 minus -0.207? -7334.203 What is -3 - 5.6575432? -8.6575432 What is 0.3 - 2592268615? -2592268614.7 Total of -1675434.4 and 0.107. -1675434.293 What is 5 + 160861.0751? 160866.0751 What is -1150859941 take away 0.2? -1150859941.2 What is -4 plus 9801256.69? 9801252.69 What is -220793295 take away 0.018? -220793295.018 Sum 0 and 3439536. 3439536 What is 4 + -2.1440361348? 1.8559638652 Add together 2.62933734 and -0.1. 2.52933734 Add together 0.86907429 and 0.31. 1.17907429 Work out -7429.5 + -1787.13. -9216.63 What is 4.6608 minus 799.98? -795.3192 What is 233762 - -931? 234693 Sum -0.3 and -607.62989. -607.92989 Subtract 10290251 from 0.1. -10290250.9 6164.0743 - -541 6705.0743 What is 56.534 take away -3.5437? 60.0777 What is the difference between -0.1357 and -1290.6? 1290.4643 Put together 0.72 and -120756.7148. -120755.9948 What is 0.094642 - 7.6? -7.505358 Sum 1567291 and 4.44. 1567295.44 Put together -3 and -34161657. -34161660 What is -16164943076 minus -0.08? -16164943075.92 Put together -18606 and 75961.8. 57355.8 Calculate 203686 + -120. 203566 Work out -0.1 - -14926725. 14926724.9 What is -22184 + 0.1913? -22183.8087 What is -6021921 - -0.025? -6021920.975 Work out -2268966 - -25. -2268941 What is -1.5792804 less than 2? 3.5792804 What is -1.5 take away -1947001? 1946999.5 What is -373 take away 0.0288204? -373.0288204 Calculate -0.685391 + 0.019368. -0.666023 Work out 296316.4 - -11782. 308098.4 Add -1366 and 22356. 20990 Put together 83.88 and 1.71003. 85.59003 Add 2464721 and -5. 2464716 Work out -150200268 - 2. -150200270 -595033350 - -0.017 -595033349.983 Calculate -30785 - 0.1893. -30785.1893 -3390724122 - 0.1 -3390724122.1 What is -140574 take away 17.873? -140591.873 Work out -98738 - 71.9. -98809.9 What is -0.255 minus 2686974? -2686974.255 Add together -64 and -16274988. -16275052 Calculate -0.21567 + -11799.1. -11799.31567 What is 6.519 + 1059640? 1059646.519 What is the distance between 31.7 and -9192? 9223.7 Total of 24.8499 and -1.8751. 22.9748 Add 0.11818 and 42.64. 42.75818 -2777.6 - 8006.7 -10784.3 Total of 1732740 and -54381. 1678359 Work out -40 - -363383. 363343 Subtract 4345 from 0.78642. -4344.21358 What is 446504 less than 0.4095? -446503.5905 What is 0.07 minus 5359538667? -5359538666.93 -23983567+-0.6 -23983567.6 Add 5 and 45.81832. 50.81832 Calculate -0.7 + 6630062. 6630061.3 What is -626 - 35560? -36186 What is -2628284691 - -1? -2628284690 What is -0.4 less than -53555157319? -53555157318.6 What is -0.16 take away -498875? 498874.84 Total of -0.01 and -37878618. -37878618.01 What is the difference between -746 and 0.257974? 746.257974 -1+-0.273422 -1.273422 Work out -0.06028 + -3.8376. -3.89788 What is the distance between 0.19 and -405542? 405542.19 78 + 10467.975 10545.975 Sum -79295854 and 44. -79295810 Add together -0.3 and -1987996571. -1987996571.3 Work out -888492283 - -149. -888492134 Add -3.28 and -51810. -51813.28
{ "pile_set_name": "DM Mathematics" }
12*sqrt(3) Simplify ((sqrt(612) + 0)*2 + (sqrt(612) - sqrt(612)*1)*-3 + sqrt(612) + sqrt(612))**2. 9792 Simplify sqrt(6)/(sqrt(40)/sqrt(5)). sqrt(3)/2 Simplify (-2 + sqrt(1008))**2 - (2*sqrt(343) + sqrt(343)). -69*sqrt(7) + 1012 Simplify (sqrt(275) + (((sqrt(275) - (sqrt(275) + -2)) + sqrt(275))*-4 - sqrt(275) - sqrt(275)))**2. 400*sqrt(11) + 6939 Simplify sqrt(22)/((sqrt(44)/sqrt(2))/sqrt(2)). sqrt(2) Simplify ((sqrt(78) + sqrt(78)*-1)/sqrt(3) - sqrt(26))/((sqrt(40)/sqrt(2))/sqrt(10) + sqrt(2)) + -2. -2 - sqrt(13)/2 Simplify -5*4*(sqrt(80)*2 + 5)**2. -6900 - 1600*sqrt(5) Simplify sqrt(15)/sqrt(180)*-6. -sqrt(3) Simplify 4 + sqrt(1331)*1. 4 + 11*sqrt(11) Simplify (sqrt(245)/(2*sqrt(7)))/(sqrt(20)/sqrt(36)). 3*sqrt(7)/2 Simplify (5*-1*sqrt(56) + sqrt(56))/(2*sqrt(392) + sqrt(392)). -4*sqrt(7)/21 Simplify sqrt(1573) + 3*sqrt(1573) + -1 + -3*(sqrt(1573) + 2). -7 + 11*sqrt(13) Simplify ((sqrt(44)/sqrt(4))**2 - sqrt(11)) + 0 + sqrt(11) + sqrt(44)/sqrt(4)*3. 3*sqrt(11) + 11 Simplify (sqrt(130)/sqrt(250))**2 - (sqrt(52)/sqrt(4) + 1)**2. -337/25 - 2*sqrt(13) Simplify (sqrt(204) + -4*sqrt(204)*-1 - sqrt(204))/(sqrt(1452)*2 - sqrt(1452) - sqrt(1452) - sqrt(12)). -4*sqrt(17) Simplify 1 + (-3 + sqrt(13) + sqrt(117) + 0 + sqrt(13) + -3)**2. -60*sqrt(13) + 362 Simplify -3*4*(sqrt(1872) + -1). -144*sqrt(13) + 12 Simplify (sqrt(35)/(sqrt(500)*-2) + 2)**2. -sqrt(7)/5 + 1607/400 Simplify -5*(0 + sqrt(32)) + 4. -20*sqrt(2) + 4 Simplify -1 + (0 + sqrt(44) + 2)**2 + -1. 8*sqrt(11) + 46 Simplify -2*((sqrt(2448) - (sqrt(2448) + (sqrt(2448)*-1)**2)) + -4). 4904 Simplify sqrt(720) - (-2 + sqrt(720) + 1). 1 Simplify ((-5*(sqrt(35) + sqrt(70)/sqrt(2) - sqrt(35)))/((sqrt(30) - sqrt(270))/sqrt(6)))**2. 175/4 Simplify sqrt(605)*-1 + 2 - (0 + sqrt(605)*-1)**2. -603 - 11*sqrt(5) Simplify (3 + -1 + sqrt(720) + 5)**2 + -1. 168*sqrt(5) + 768 Simplify sqrt(832) + sqrt(832)*-3 + -2. -16*sqrt(13) - 2 Simplify ((sqrt(5) - (0 + sqrt(5)))*-3 + 5)*-6. -30 Simplify sqrt(176) + -1 + 5. 4 + 4*sqrt(11) Simplify ((sqrt(70) + 5*(sqrt(70) + -1*sqrt(70)))/sqrt(10))**2 + 5. 12 Simplify (sqrt(153)/((sqrt(108) - (sqrt(108) - 1*sqrt(108)))/sqrt(12)))**2. 17 Simplify (sqrt(1584)*-3*2)**2 - (sqrt(1584) + (sqrt(1584) - -1*sqrt(1584)) + -5)**2. 360*sqrt(11) + 42743 Simplify (-6*(1 + sqrt(539)) + sqrt(88)/(2*sqrt(8)) + 5*sqrt(22)/sqrt(2))**2. 438*sqrt(11) + 58763/4 Simplify ((sqrt(216) - sqrt(24))*-5)/(-2*sqrt(588)). 5*sqrt(2)/7 Simplify (3*sqrt(171)*-1)/((sqrt(108) + 1*sqrt(108))/sqrt(12)). -3*sqrt(19)/2 Simplify sqrt(35)/(sqrt(175)*1). sqrt(5)/5 Simplify 5*sqrt(208) - (sqrt(91)/(4*sqrt(7) + sqrt(7)) - sqrt(13))**2. -208/25 + 20*sqrt(13) Simplify -5*((-2*sqrt(448) - sqrt(448)) + sqrt(7))**2*4. -74060 Simplify (1*sqrt(104)*-1)/sqrt(8). -sqrt(13) Simplify 1 + (sqrt(80))**2 + sqrt(5) + sqrt(5) + sqrt(5) + 0 + -5 + sqrt(5). 4*sqrt(5) + 76 Simplify (sqrt(36)/(2*sqrt(300)))**2. 3/100 Simplify (-3*(-1 + sqrt(272)))**2 + 2. -72*sqrt(17) + 2459 Simplify (5*(sqrt(192) + 4))**2*2. 3200*sqrt(3) + 10400 Simplify (6*(0 + sqrt(304)))**2 + 6*-2*sqrt(304) + 2. -48*sqrt(19) + 10946 Simplify (-2 + sqrt(500))**2 + 0. -40*sqrt(5) + 504 Simplify ((sqrt(171) + -2*(1*sqrt(171) - sqrt(171)))/sqrt(9) + -3)**2. -6*sqrt(19) + 28 Simplify (sqrt(343)/sqrt(7)*3)/sqrt(7). 3*sqrt(7) Simplify sqrt(16)/(1*((sqrt(8) - sqrt(288)) + sqrt(8)) + sqrt(8)). -sqrt(2)/3 Simplify (sqrt(114)*3*-6)/(3*sqrt(294)). -6*sqrt(19)/7 Simplify sqrt(25)/(sqrt(20)/sqrt(4)) - (0 + sqrt(5))*5. -4*sqrt(5) Simplify (-3*sqrt(42)*2)/(sqrt(96)/sqrt(4)). -3*sqrt(7) Simplify (sqrt(385)/sqrt(7))/sqrt(5) - sqrt(11) - (sqrt(11) - (2 + 2*sqrt(11))**2). 7*sqrt(11) + 48 Simplify (sqrt(1573)*-1 + 4)*6 + 3. -66*sqrt(13) + 27 Simplify 4*(-5*(sqrt(35) + sqrt(140)))/sqrt(7)*-6. 360*sqrt(5) Simplify -5 + sqrt(28) - ((sqrt(504) - sqrt(56))/sqrt(8))**2. -33 + 2*sqrt(7) Simplify (5 + ((sqrt(91) + 4*sqrt(91))*-4 + sqrt(91))/sqrt(7))**2. -190*sqrt(13) + 4718 Simplify (sqrt(468)*-2)/sqrt(4). -6*sqrt(13) Simplify -4*(2 + sqrt(39)/sqrt(3)). -4*sqrt(13) - 8 Simplify (4*sqrt(102)*3)/(sqrt(42)/sqrt(63)). 36*sqrt(17) Simplify (sqrt(36)/sqrt(3))/sqrt(4) + -4. -4 + sqrt(3) Simplify (sqrt(10) - (2*sqrt(80) + sqrt(80))/sqrt(8))/(sqrt(500) + (sqrt(500) - (sqrt(500) + -1*sqrt(500)))). -sqrt(2)/10 Simplify (5*1*sqrt(70) - sqrt(70))/sqrt(10). 4*sqrt(7) Simplify (sqrt(68)*3*2)/sqrt(4). 6*sqrt(17) Simplify 2*sqrt(13) + 3 + -5. -2 + 2*sqrt(13) Simplify sqrt(21)/(sqrt(7) + (sqrt(14)*1)/sqrt(2)). sqrt(3)/2 Simplify (sqrt(17) + sqrt(17) + 2)*-6*4. -48*sqrt(17) - 48 Simplify (sqrt(147)*2*1)**2*-6. -3528 Simplify ((2*sqrt(2916))/(sqrt(540)/sqrt(5)))**2. 108 Simplify -1*((2 + sqrt(931))**2 - ((sqrt(19) + -1)**2 + 2)). -913 - 30*sqrt(19) Simplify sqrt(16)/sqrt(32) + (sqrt(2) - 1*sqrt(72))**2. sqrt(2)/2 + 50 Simplify (-4 + 0 + sqrt(605))**2. -88*sqrt(5) + 621 Simplify -4 + 1*(sqrt(432) + 3). -1 + 12*sqrt(3) Simplify -1 + (2*sqrt(88)*2)/sqrt(8). -1 + 4*sqrt(11) Simplify 1*sqrt(684) - -3*sqrt(19)*-3. -3*sqrt(19) Simplify (-2 + -6*(sqrt(7) - (sqrt(14)/sqrt(2) + sqrt(7))*-4 - sqrt(7)))*-6. 12 + 288*sqrt(7) Simplify -1 + (1*sqrt(363) - sqrt(363) - sqrt(363))**2 + -1 + 1. 362 Simplify (-3*sqrt(2448)*5)**2. 550800 Simplify 2 + ((-3*sqrt(132))/sqrt(12))**2. 101 Simplify (sqrt(80) + (sqrt(80) + -3*-1*sqrt(80) - sqrt(80)))**2 + 4. 1284 Simplify -6*sqrt(272) - (((sqrt(17) - sqrt(68)/sqrt(4))*4)**2 + sqrt(17)). -25*sqrt(17) Simplify 1*(1 + (sqrt(125))**2 - sqrt(5)). -sqrt(5) + 126 Simplify (sqrt(17) + sqrt(17) + sqrt(68)/sqrt(4))*-1 - (sqrt(17) + sqrt(68))**2*6. -918 - 3*sqrt(17) Simplify (4 + 1*(sqrt(3) + 1) + 2)**2. 14*sqrt(3) + 52 Simplify ((sqrt(17) + 0)*5 + sqrt(51)/sqrt(12))**2. 2057/4 Simplify (sqrt(112)*-3)/sqrt(4). -6*sqrt(7) Simplify (sqrt(320)/sqrt(10))**2*2 - -6*sqrt(18)*2. 36*sqrt(2) + 64 Simplify ((sqrt(22)/(2*sqrt(2)*-4) + -5)*-4)**2. 20*sqrt(11) + 1611/4 Simplify 3*(2 + sqrt(175))*-3. -45*sqrt(7) - 18 Simplify (-2*sqrt(171)*-3)/(sqrt(576)*-1). -3*sqrt(19)/4 Simplify (-1 + sqrt(720) + 3)**2. 48*sqrt(5) + 724 Simplify ((sqrt(1260)*1 + sqrt(35))/sqrt(7))**2. 245 Simplify (sqrt(3264) - (2*sqrt(3264) - sqrt(3264) - sqrt(3264)) - sqrt(3264))/(1*sqrt(3)*-2). 0 Simplify 2*sqrt(17) + 5 + sqrt(119)/sqrt(28). 5 + 5*sqrt(17)/2 Simplify sqrt(605)*-3 + -4. -33*sqrt(5) - 4 Simplify (-2 + sqrt(5) + 0 + 1 + sqrt(5) + 3)**2. 8*sqrt(5) + 24 Simplify -6*(sqrt(156) - -3*sqrt(156))/sqrt(12)*-1. 24*sqrt(13) Simplify (sqrt(4) - 1*sqrt(8)/sqrt(2))/(4*sqrt(8)). 0 Simplify (3 + sqrt(104)/sqrt(8) + 4 + -4)**2. 6*sqrt(13) + 22 Simplify (sqrt(1100) + -1)*3. -3 + 30*sqrt(11) Simplify sqrt(1900) + 2*(sqrt(1900) - (1*sqrt(1900) + sqrt(1900))**2). -15200 + 30*sqrt(19) Simplify ((0 + sqrt(396) + sqrt(396))*5 + sqrt(396) + (sqrt(396) - (-5 + sqrt(396) + -1)))**2. 792*sqrt(11) + 47952 Simplify (sqrt(833) + 1)**2*-2 + -1. -1669 - 28*sqrt(17) Simplify -2 + (sqrt(468)*-1)**2. 466 Simplify (-1*(0 + sqrt(65)/sqrt(5)))**2*4. 52 Simplify (sqrt(1584) + 3*sqrt(1584))/((sqrt(192)/sqrt(6))/sqrt(8)). 24*sqrt(11) Simplify (4*(sqrt(84)*-2 + sqrt(84)))/(sqrt(48)/(sqrt(8)/sqrt(2))). -4*sqrt(7) Simplify (sqrt(147) + -2)**2 + 3 + sqrt(48). -24*sqrt(3) + 154 Simplify (2*sqrt(49)/sqrt(7) + 0)**2. 28 Simplify 2*sqrt(153) + -1 + sqrt(68)/sqrt(4). -1 + 7*sqrt(17) Simplify (-5*(sqrt(19) + -1)*-1)**2*1. -50*sqrt(19) + 500 Simplify 1*(-3 + (sqrt(68)*1 - sqrt(68)))**2. 9 Simplify (0 + sqrt(288))**2 + sqrt(288)*-2. -24*sqrt(2) + 288 Simplify (sqrt(100)/(sqrt(20)/sqrt(4)))/(sqrt(10) - sqrt(40)/(sqrt(4)*2)). 2*sqrt(2) Simplify -4 + ((sqrt(117)*-2 + sqrt(117))*4 + sqrt(117))/sqrt(9). -3*sqrt(13) - 4 Simplify sqrt(1573) + (sqrt(1573)*-2)**2 - sqrt(13)*1*6. 5*sqrt(13) + 6292 Simplify ((sqrt(612) - (5*(sqrt(612) - (sqrt(612) + 2*sqrt(612)) - sqrt(612)) + sqrt(612)) - sqrt(612)) + sqrt(612) + (sqrt(612) + -1)*-1)**2. 168*sqrt(17) + 119953 Simplify (-1*sqrt(24))/(sqrt(363) + 1*sqrt(363)). -sqrt(2)/11 Simplify (-2 + sqrt(475))*-6. -30*sqrt(19) + 12 Simplify ((sqrt(102) - ((sqrt(102) - (sqrt(102) - (sqrt(102) + -1*sqrt(102) + sqrt(102)))) + sqrt(102)))/sqrt(6) + 6*sqrt(425))*-5. -145*sqrt(17) Simplify (2*sqrt(170)*4 + sqrt(170))/(sqrt(70)/sqrt(28)). 18*sqrt(17) Simplify (-3 + (sqrt(1584) - sqrt(1584)*2))**2 + sqrt(1584) + sqrt(1584) + (sqrt(1584)*1*5 + sqrt(1584) - sqrt(1
{ "pile_set_name": "DM Mathematics" }
divide 3532292? False Is 11 a factor of 98054? True Is 13 a factor of 1832714? True Does 16 divide 3204320? True Is 688055 a multiple of 58? False Does 413 divide 1549524? False Is 596263 a multiple of 41? True Is 2132534 a multiple of 374? False Is 711 a factor of 30288600? True Is 872 a factor of 2922944? True Does 14 divide 1432193? False Is 195 a factor of 593580? True Is 27 a factor of 575046? True Is 29 a factor of 3646876? False Is 41 a factor of 20856618? True Does 73 divide 964323? False Is 494965 a multiple of 417? False Is 294690 a multiple of 165? True Is 970623 a multiple of 682? False Is 5975762 a multiple of 44? False Is 11262303 a multiple of 9? True Is 1769743 a multiple of 233? False Is 46 a factor of 162288? True Is 42 a factor of 284844? True Is 187 a factor of 158742? False Does 128 divide 117120? True Is 3571848 a multiple of 504? True Is 4 a factor of 92864? True Is 393 a factor of 528876? False Is 6505134 a multiple of 7? False Is 2319084 a multiple of 27? True Does 325 divide 936650? True Is 102751 a multiple of 21? False Is 173 a factor of 953692? False Does 5 divide 41250? True Is 36 a factor of 4109328? True Is 81862 a multiple of 122? True Is 1129020 a multiple of 124? True Does 126 divide 154476? True Does 1121 divide 17109027? False Does 241 divide 53593? False Is 13696661 a multiple of 455? False Is 1328720 a multiple of 82? False Is 16 a factor of 3286672? True Is 488615 a multiple of 395? True Is 32667 a multiple of 38? False Is 11 a factor of 816772? True Is 246674 a multiple of 16? False Is 325944 a multiple of 9? True Is 5786096 a multiple of 75? False Is 15 a factor of 3471796? False Does 12 divide 35532? True Does 354 divide 52038? True Is 687095 a multiple of 71? False Is 20 a factor of 540420? True Is 2125430 even? True Is 163 a factor of 674902? False Is 34 a factor of 1181602? True Is 348084 a multiple of 53? False Is 195726 a multiple of 13? False Is 1060 a factor of 142501? False Does 45 divide 40095? True Is 4050977 a multiple of 22? False Is 13998 a multiple of 2? True Is 155 a factor of 162237? False Is 141 a factor of 109698? True Does 41 divide 545083? False Is 3595950 a multiple of 262? True Is 4487120 a multiple of 40? True Is 2750865 a multiple of 1578? False Is 39 a factor of 507? True Is 76 a factor of 17394576? True Is 3 a factor of 205078? False Is 23653 a multiple of 109? True Is 142 a factor of 324547? False Is 307853 a multiple of 39? False Is 818385 a multiple of 11? False Does 514 divide 596240? True Does 6 divide 130667? False Is 1934530 a multiple of 15? False Does 302 divide 126840? True Is 35 a factor of 15728? False Does 23 divide 138184? True Does 16 divide 749008? True Does 43 divide 2852534? True Is 14954404 a multiple of 736? False Is 13 a factor of 233207? True Is 78 a factor of 175714? False Does 15 divide 282243? False Is 397 a factor of 525231? True Is 244 a factor of 6651440? True Does 12 divide 16305? False Does 53 divide 43354? True Is 281876 even? True Is 24 a factor of 7814976? True Does 15 divide 146810? False Does 213 divide 187014? True Does 69 divide 14497866? True Does 153 divide 223312? False Is 19 a factor of 127614? False Does 7 divide 34096? False Is 3 a factor of 174075? True Is 16151876 a multiple of 89? False Does 18 divide 103140? True Is 31302 a multiple of 11? False Is 138585 a multiple of 17? False Is 41 a factor of 33718? False Is 139 a factor of 599785? True Does 34 divide 475796? True Is 207050 a multiple of 101? True Does 33 divide 2032734? True Is 6625 a multiple of 25? True Is 11 a factor of 454157? True Is 22504 a multiple of 232? True Is 36 a factor of 3292416? True Is 77 a factor of 19697139? True Is 254968 a multiple of 8? True Is 1839264 a multiple of 14? True Is 14139781 a multiple of 45? False Is 105 a factor of 481425? True Is 15099922 a multiple of 40? False Is 51229 a multiple of 266? False Is 10248 a multiple of 14? True Is 19 a factor of 779608? True Is 7857849 a multiple of 10? False Is 184168 a multiple of 2? True Is 8 a factor of 207064? True Is 20881 a multiple of 7? True Does 29 divide 2132020? False Is 164 a factor of 41061? False Is 21725 a multiple of 47? False Does 698 divide 4254353? False Is 1582472 a multiple of 152? True Does 137 divide 917626? True Does 108 divide 89208? True Is 79439 a multiple of 17? False Is 67 a factor of 231854? False Does 8 divide 247416? True Is 27472 a multiple of 202? True Does 202 divide 1053222? False Does 439 divide 1988231? True Is 690 a factor of 690? True Is 20078 a multiple of 2? True Does 6 divide 930075? False Is 581 a factor of 611212? True Is 225422 a multiple of 62? False Is 6322280 a multiple of 716? True Is 10 a factor of 697110? True Does 103 divide 414135? False Is 6 a factor of 86305? False Is 51716 a multiple of 44? False Does 4 divide 413088? True Does 231 divide 905810? False Is 634920 a multiple of 370? True Is 2972840 a multiple of 65? True Does 65 divide 1658027? False Is 41 a factor of 328861? True Is 32 a factor of 93718? False Is 59 a factor of 2866515? True Does 21 divide 587213? False Does 20 divide 448900? True Is 1142709 a multiple of 38? False Does 2 divide 5736114? True Does 65 divide 2996789? False Does 29 divide 109997? True Does 162 divide 465628? False Does 12 divide 2045544? True Does 20 divide 3130640? True Is 3 a factor of 1028199? True Is 266766 a multiple of 173? True Is 81 a factor of 16054? False Does 4 divide 529572? True Is 363855 a multiple of 955? True Is 111 a factor of 3634109? False Is 12 a factor of 108156? True Is 27 a factor of 14850? True Does 56 divide 1735228? False Is 40 a factor of 3774336? False Is 15816852 a multiple of 36? True Is 972898 a multiple of 12? False Is 575 a factor of 5393500? True Does 27 divide 461214? True Is 10 a factor of 146330? True Is 378599 a multiple of 147? False Is 773 a factor of 466440? False Is 282 a factor of 28623? False Is 795982 a multiple of 142? False Does 112 divide 110880? True Is 1442895 a multiple of 15? True Is 512958 a multiple of 34? True Is 695952 a multiple of 36? True Is 610 a factor of 18137740? True Is 150 a factor of 126504? False Is 149067 a multiple of 9? True Is 7 a factor of 127308? False Does 126 divide 247091? False Is 145 a factor of 1236245? False Is 13040742 a multiple of 78? True Is 180 a factor of 3045780? True Is 19 a factor of 18589087? True Is 27732 a multiple of 4? True Is 208 a factor of 1343133? False Is 436209 a multiple of 563? False Is 146117 a multiple of 28? False Is 5243667 a multiple of 429? True Is 2 a factor of 29125? False Is 62865 a multiple of 4? False Is 21 a factor of 429723? True Is 14 a factor of 1670914? True Is 2006778 a multiple of 14? False Is 4 a factor of 85218? False Does 200 divide 379254? False Is 2130525 a multiple of 25? True Does 142 divide 3533102? True Is 1300 a factor of 6339830? False Is 221613 a multiple of 255? False Does 3 divide 118332? True Is 38 a factor of 128021? False Is 77355 a multiple of 173? False Does 342 divide 1557225? False Does 20 divide 42260? True Is 204 a factor of 2040807? False Is 584 a factor of 5256? True Is 72970 a multiple of 20? False Is 3 a factor of 943233? True Does 11 divide 4331624? True Is 140 a factor of 29960? True Is 471 a factor of 253604? False Is 65 a factor of 16062? False Is 36 a factor of 1400220? True Is 677 a factor of 704080? True Does 553 divide 15375612? True Is 997 a factor of 7519868? False Does 1595 divide 14088635? True Is 1123136 a multiple of 31? False Is 35 a factor of 220962? False Does 94 divide 120696? True Does 24 divide 1222272? True Is 4279084 a multiple of 482? False Does 60 divide 23820? True Is 9360846 a multiple of 309? True Does 277 divide 189191? True Does 132 divide 4035149? False Is 41 a factor of 16277? True Does 13 divide 28970? False Is 149 a factor of 1718268? True Is 232332 a multiple of 308? False Does 124 divide 662891? False Is 8 a factor of 361356? False Does 182 divide 1419074? False Is 7 a factor of 871990? True Is 1713 a factor of 6732090? True Does 8 divide 2016136? True Is 91 a factor of 441896? True Is 438289 a multiple of 109? True Is 187 a factor of 1005146? False Is 1727 a factor of 565422? False Is 344 a factor of 7247824? False Does 49 divide 357
{ "pile_set_name": "DM Mathematics" }
replacement from tcqttqitgiggqitir. What is prob of picking 1 q and 2 i? 9/340 Two letters picked without replacement from {y: 2, u: 1, c: 1, r: 2, t: 1}. Give prob of picking 1 y and 1 c. 2/21 Three letters picked without replacement from kkjkkkkkkkjksk. What is prob of picking 3 k? 165/364 Two letters picked without replacement from vjvjjvjvjjj. Give prob of picking 2 v. 6/55 Two letters picked without replacement from {h: 3, p: 2, i: 6, l: 2}. Give prob of picking 2 p. 1/78 What is prob of picking 1 v and 1 a when two letters picked without replacement from qqqaaqvaaqqqqavq? 1/12 Three letters picked without replacement from tvggssttttgogott. What is prob of picking 1 v, 1 s, and 1 t? 1/40 What is prob of picking 2 a when two letters picked without replacement from ooaaaao? 2/7 Three letters picked without replacement from ruxgxxxgx. What is prob of picking 1 x, 1 g, and 1 u? 5/42 What is prob of picking 4 d when four letters picked without replacement from nddndddd? 3/14 Three letters picked without replacement from {b: 2, h: 1, j: 5, f: 1}. Give prob of picking 1 f, 1 j, and 1 b. 5/42 Four letters picked without replacement from {r: 5, v: 8, h: 4}. What is prob of picking 2 r and 2 v? 2/17 Calculate prob of picking 2 f when two letters picked without replacement from mfwyyfyfffmgwswsmsg. 10/171 Two letters picked without replacement from uetwwwf. Give prob of picking 2 w. 1/7 Two letters picked without replacement from zzzqqzpspszs. What is prob of picking 1 z and 1 p? 5/33 Two letters picked without replacement from {y: 9, u: 2, s: 1, a: 8}. Give prob of picking 1 a and 1 y. 36/95 Two letters picked without replacement from {g: 1, o: 1, m: 3, p: 3, n: 2, j: 1}. What is prob of picking 1 p and 1 n? 6/55 Calculate prob of picking 1 x, 2 c, and 1 r when four letters picked without replacement from {x: 2, c: 7, t: 2, r: 1}. 14/165 Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {k: 1, q: 2, h: 1, x: 1, d: 1, f: 1}. 1/21 Four letters picked without replacement from pesptxtxexfx. Give prob of picking 1 e, 1 f, and 2 x. 4/165 What is prob of picking 1 v and 1 g when two letters picked without replacement from mkckcckgmvcmcmkc? 1/120 What is prob of picking 2 b when two letters picked without replacement from {e: 7, x: 4, f: 1, b: 4, v: 2}? 2/51 Two letters picked without replacement from cufxcye. What is prob of picking 1 y and 1 x? 1/21 Three letters picked without replacement from {k: 2, i: 1, n: 1, l: 4}. What is prob of picking 1 i, 1 k, and 1 l? 1/7 Three letters picked without replacement from gfootgoowlottwfl. Give prob of picking 2 l and 1 o. 1/112 Calculate prob of picking 3 l when three letters picked without replacement from lllb. 1/4 Three letters picked without replacement from jaajajaajuua. Give prob of picking 3 j. 1/55 Calculate prob of picking 3 z when three letters picked without replacement from izzivzvzivzivizz. 1/16 Three letters picked without replacement from {m: 3, q: 1, j: 7, n: 1}. Give prob of picking 3 m. 1/220 Four letters picked without replacement from {p: 2, u: 1, g: 6, a: 3}. Give prob of picking 1 g, 2 a, and 1 u. 2/55 Two letters picked without replacement from knkkkknkkrrk. Give prob of picking 1 k and 1 r. 8/33 Four letters picked without replacement from ccccccbcccccccccbccc. Give prob of picking 3 c and 1 b. 32/95 What is prob of picking 2 k, 1 s, and 1 c when four letters picked without replacement from {r: 6, c: 1, s: 3, e: 3, v: 1, k: 4}? 1/170 Four letters picked without replacement from zyqygqqyyq. What is prob of picking 1 g and 3 y? 2/105 What is prob of picking 2 s when two letters picked without replacement from {w: 5, v: 2, s: 3, x: 2}? 1/22 Calculate prob of picking 1 g and 3 c when four letters picked without replacement from {w: 1, o: 5, s: 1, c: 5, r: 2, g: 5}. 25/1938 Four letters picked without replacement from xrjrjjjrrjjjxxjj. What is prob of picking 1 r, 2 j, and 1 x? 108/455 Two letters picked without replacement from {z: 1, o: 1, t: 1}. What is prob of picking 1 z and 1 o? 1/3 Calculate prob of picking 1 o, 2 e, and 1 m when four letters picked without replacement from tomeffe. 1/35 Calculate prob of picking 4 h when four letters picked without replacement from hhhhhhhhhhcchhc. 33/91 Four letters picked without replacement from {k: 1, o: 6, m: 11, v: 1, t: 1}. Give prob of picking 3 m and 1 t. 11/323 What is prob of picking 4 l when four letters picked without replacement from lxlxxlxxxl? 1/210 Three letters picked without replacement from gniiiiiniggnngni. What is prob of picking 3 g? 1/140 What is prob of picking 1 k and 1 l when two letters picked without replacement from {k: 2, l: 2, i: 3, v: 9, g: 3}? 4/171 What is prob of picking 1 k and 1 y when two letters picked without replacement from ymkpp? 1/10 Calculate prob of picking 1 r and 1 m when two letters picked without replacement from mmrmmmrr. 15/28 Three letters picked without replacement from leezllzzeekzzlzzle. Give prob of picking 2 l and 1 e. 25/408 Three letters picked without replacement from zzhssuuzuszz. What is prob of picking 2 z and 1 u? 3/22 Four letters picked without replacement from jjpsjsjs. What is prob of picking 3 j and 1 p? 2/35 Four letters picked without replacement from {d: 2, l: 1, j: 1, p: 3}. Give prob of picking 1 d, 1 j, and 2 p. 6/35 What is prob of picking 2 b and 2 l when four letters picked without replacement from {b: 6, l: 2}? 3/14 Calculate prob of picking 1 c and 2 s when three letters picked without replacement from {c: 1, s: 18}. 3/19 Calculate prob of picking 3 x and 1 t when four letters picked without replacement from {x: 5, t: 2}. 4/7 Three letters picked without replacement from rlllllrrrl. Give prob of picking 3 r. 1/30 What is prob of picking 1 b and 3 v when four letters picked without replacement from {t: 6, b: 1, h: 1, v: 3, m: 3}? 1/1001 What is prob of picking 1 k and 1 t when two letters picked without replacement from mmkmtmk? 2/21 Three letters picked without replacement from {c: 5, i: 2}. Give prob of picking 3 c. 2/7 Four letters picked without replacement from {b: 5, o: 13}. What is prob of picking 3 o and 1 b? 143/306 What is prob of picking 1 p and 2 x when three letters picked without replacement from pyyyyfhxhyxhhhx? 3/455 Calculate prob of picking 2 g and 1 l when three letters picked without replacement from {l: 7, g: 3}. 7/40 Three letters picked without replacement from pppoqppeppppepop. What is prob of picking 1 q and 2 o? 1/560 Calculate prob of picking 3 a when three letters picked without replacement from {a: 4}. 1 Two letters picked without replacement from rrlrlrllrvvvr. What is prob of picking 2 v? 1/26 What is prob of picking 1 p and 1 r when two letters picked without replacement from pirvirvprvvmrprrv? 9/68 What is prob of picking 1 a and 1 l when two letters picked without replacement from aliaiiail? 1/6 Two letters picked without replacement from vvevvvgeevvevgvv. What is prob of picking 2 e? 1/20 Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {d: 5, x: 13, c: 2}. 13/95 What is prob of picking 3 j when three letters picked without replacement from jjjjhjjhjhj? 56/165 Four letters picked without replacement from dyxyynyxyyhhxy. Give prob of picking 1 d, 2 x, and 1 n. 3/1001 Three letters picked without replacement from vzzzvzzzzz. Give prob of picking 2 z and 1 v. 7/15 Two letters picked without replacement from {u: 6, g: 3, m: 3, v: 6, j: 1, s: 1}. What is prob of picking 2 u? 3/38 Two letters picked without replacement from {q: 3, u: 7, g: 3}. Give prob of picking 2 q. 1/26 Three letters picked without replacement from {p: 4, l: 2}. What is prob of picking 2 p and 1 l? 3/5 What is prob of picking 1 l and 1 d when two letters picked without replacement from dltldrddlcd? 3/11 What is prob of picking 4 v when four letters picked without replacement from {l: 1, v: 7}? 1/2 Two letters picked without replacement from texttetttxhhttte. Give prob of picking 1 h and 1 e. 1/20 What is prob of picking 1 s and 1 d when two letters picked without replacement from dddmmddssdd? 14/55 Four letters picked without replacement from ghoohgokooohh. What is prob of picking 3 o and 1 h? 16
{ "pile_set_name": "DM Mathematics" }
Let r = 4482.9 - 4946. Let s = 828 + -338. Let g = r + s. Round g to the nearest integer. 27 Let p = -1630229939206.000000561 - -1630229938334. Let q = -872 - p. Round q to seven decimal places. 0.0000006 Let z = 6.01 - 1.11. Let c = -4 + z. Let l = 0.76 - c. Round l to one dp. -0.1 Let d = 39978.9999935111 - 39979. Round d to 6 dps. -0.000006 Let x be (155814/24 + 2)*(-176)/(-33)*150. Round x to the nearest 10000. 5200000 Let t(m) = -8*m**2 - 88*m - 580. Let b be t(79). What is b rounded to the nearest one thousand? -57000 Let b = -0.102 + 0.016. Let n = -0.34603258 - -0.4320332. Let w = b + n. Round w to seven decimal places. 0.0000006 Let d = -311 - -327.3. Let h = -16 + d. Let n = -0.3000114 + h. Round n to six decimal places. -0.000011 Let q = -271.89 + -3.11. Let u = q - -275.0000222. Round u to six decimal places. 0.000022 Let o = -2482.2825 + 2460.2824645. Let j = 22 + o. What is j rounded to five decimal places? -0.00004 Let b(c) = -1317143*c - 2864. Let q be b(-48). What is q rounded to the nearest one million? 63000000 Let u = 0.0326 - -3.0574. Let f = u - 3.08999556. Round f to 7 dps. 0.0000044 Let g = -0.0036 - -0.057. Let a = g + -261.0534. Let i = 264.03 + a. Round i to 1 dp. 3 Let w(n) = 14*n + 32. Let p be w(-27). Suppose -34*o + 60 = -33*o. Let y be (-20)/o + (p/3)/2. Round y to the nearest 10. -60 Let y = 4155.52 - 4052. Round y to the nearest integer. 104 Let u = -44265 - 2525. What is u rounded to the nearest 1000? -47000 Let q = 243 + -168. Let n = q + -74.963. Let l = -0.037007 + n. Round l to 6 dps. -0.000007 Let v = 1383 + -351. Let a = v - 970.3. What is a rounded to the nearest ten? 60 Let f be 48*((-6)/8)/((-18)/14096). What is f rounded to the nearest 100? 28200 Let q be 90/(-6*3/(-427260)). Suppose 3*i - 4*k = -22290020, 5*k + 27583675 = -4*i - q. What is i rounded to the nearest one million? -7000000 Suppose -s - 2*d + 34 = -39, -3*d = 3*s - 225. Suppose 72*l - 30800 = s*l. What is l rounded to the nearest one thousand? -6000 Let h(b) = -368*b**2 - 10*b - 40. Let p be h(-25). What is p rounded to the nearest 1000? -230000 Let n = -6151.2493 - -6151. Let z = n + 0.204. Round z to 2 decimal places. -0.05 Let p = -364101287511 - -236182365875. Let w = -127918920944.99999691 - p. Let m = w + -691. What is m rounded to seven dps? 0.0000031 Let g = -0.9361 - 5.2429. Round g to 1 dp. -6.2 Let b = 48 - 45. Let r(i) = -11064*i - 1157*i - 2776*i - b. Let o be r(1). Round o to the nearest ten thousand. -20000 Let w = 0.46571 + 59.50369. Let u = -60 + w. What is u rounded to 2 decimal places? -0.03 Let p = -12636 - -12508. Let m = 124.534 + 5.386. Let i = p + m. What is i rounded to one decimal place? 1.9 Suppose 3100254 = 6*w - 387888. Let d = w - 2580357. Round d to the nearest 100000. -2000000 Let f = 316623 - 316579.49088. Let m = f - 43.5. Round m to 3 decimal places. 0.009 Let a(b) = -12866665*b + 6. Suppose -2*p - 6 = -0*p. Let f be a(p). Suppose 2*w = -3*g + 38599997, -w + f = w - g. What is w rounded to the nearest 1000000? 19000000 Let x(i) = -455*i**2 + 293377*i**2 + 107079*i**2 - 7. Let o be x(-3). Suppose -2*q - q - j - 3599999 = 0, -o = 3*q - 2*j. Round q to the nearest 1000000. -1000000 Let y = -29.8 + -4.2. Let v = 34.00006 + y. Round v to 5 decimal places. 0.00006 Let j = -1280 + 1279.999985105. Round j to seven decimal places. -0.0000149 Let a = 4460.00010599 + -4460. Round a to six decimal places. 0.000106 Let c = -0.8429 - -583.4629. What is c rounded to the nearest 100? 600 Let z = -23.5899996702 + 23.59. What is z rounded to 7 decimal places? 0.0000003 Let q(g) = -310*g - 26. Suppose -68 = 17*c + 17*c. Let f be q(c). Round f to the nearest 100. 600 Suppose -9*s = -6*s - 180. Suppose x - 3*q = -4*x + s, 0 = -2*x - 4*q + 50. Let m be (700/(-1))/(x/345). What is m rounded to the nearest one thousand? -16000 Let s = 1128 + -2704. Let h = 1576.01273 + s. What is h rounded to three dps? 0.013 Let j = -108.3 + 167.02. Let y = -59 + j. Let u = 0.27999958 + y. What is u rounded to 7 dps? -0.0000004 Let c = -12505 - -12505.03245. Round c to 2 dps. 0.03 Let z = -0.229 - -0.8826. Let m = 17 - 16.35. Let w = m - z. What is w rounded to 2 decimal places? 0 Suppose -3*c = 3*h + 105, 2*h = -2*h - 8. Let u = c - -34. Let j be (112/12)/(u/150). What is j rounded to the nearest 1000? 1000 Let r = -5614 - -3515. Let x = r - -1993.7. What is x rounded to 0 decimal places? -105 Let g(v) = -v**3 + 18*v**2 - 11*v + 2. Let h be g(18). Let x be (-2*(3 + 0))/((-2)/h). Let p be x*4 + 0 + 2. Round p to the nearest one hundred. -2400 Let n be (-54)/(-6) + (-2)/2 + 0. Suppose 3137186 = -j + 5*y, -3*j + 3*y - n*y = 9411478. Let k = j - -777166. What is k rounded to the nearest 1000000? -2000000 Let p(w) = -1009001*w**2 + 10*w. Suppose 3*q = 5*i - 41, -q = 2*q - 9. Let o be p(i). What is o rounded to the nearest 1000000? -101000000 Let v = -666460909 - -666460905.143997259. Let n = v - -3.856. Round n to seven decimal places. -0.0000027 Let w(u) = 6*u**3 - 38*u**2 + 61*u - 95. Let q be w(-41). What is q rounded to the nearest one million? 0 Suppose -2*t - 37*q + 35*q + 959544 = 0, t - 2*q - 479766 = 0. Round t to the nearest 10000. 480000 Let r = 23 + -23.4. Let q = -0.203 - r. Let a = q - 0.33. What is a rounded to two dps? -0.13 Let t = -162 - -168. Let b be (-3)/((-18)/1651164) + t. Round b to the nearest ten thousand. 280000 Let y be (-1 + (-9)/(-4))/((-16)/640). Let i = y - -50. Let n be (i - 16512/9)/((-2)/5625). What is n rounded to the nearest one hundred thousand? 5200000 Let s = -23 - -22.9. Let a = s + 0.100876. Round a to four dps. 0.0009 Let d(b) = -203301*b - 75. Let s(w) = -406602*w - 149. Let h(z) = 5*d(z) - 2*s(z). Let n be h(23). Round n to the nearest one hundred thousand. -4700000 Suppose -10*s + 12*s = a - 15254, 4*a - 7627 = s. Round s to the nearest one thousand. -8000 Let q = 440.97153 + -0.07153. Let c = 439 - q. What is c rounded to 0 decimal places? -2 Let t = 35878.999941858 - 35879. What is t rounded to five decimal places? -0.00006 Let y(w) = -w - 42*w**2 + 0 - 24 - 6*w**2 - 12. Let v be y(-8). What is v rounded to the nearest 100? -3100 Let z = -12.773 + 16.068. What is z rounded to 0 decimal places? 3 Let h = -138.1 - 21.9. Let y = 141.8 + h. What is y rounded to 0 decimal places? -18 Let h = -27784619 - -27784617.17293805. Let s = 1.827 + h. Round s to five decimal places. -0.00006 Let b(f) = 105*f**2 - 3*f + 2. Let k be b(1). Let m = k + -13. Suppose 89*z - m*z = 12900. Round z to the nearest one thousand. -6000 Let j = 0.888 + 377.112. Let s = -377.99626 + j. What is s rounded to three decimal places? 0.004 Let x be (-12)/(-21) - 48/(-14). Suppose -7286 = x*u + 26754. Round u to the nearest one hundred. -8500 Let y = -7.807 - -7.74. Let r = 0.272 - y. What is r rounded to 2 dps? 0.34 Suppose -3*k - 1805 = q, -6*k - 2414 = -2*k + 5*q. Round k to the nearest 1000. -1000 Suppose -2*l + 5*j = -7303615, -10*j = -4*l - 15*j + 14607185. What is l rounded to the nearest ten thousand? 3650000 Let j = -13609 - -13642.817. Let f = j - 0.417. What is f rounded to the nearest 10? 30 Suppose 4*k = 2*k, 21 = c - 3*k. Suppose -22*o = -c*o + 44000. What is o rounded to the nearest ten thousand? -40000 Let r = -0.20844 + 0.2100479. Round r to four dps. 0.0016 Suppose 547751 - 280846 = -32*g - 419495. Round g to the nearest one hundred. -21500 Let b = -114716426 + 114716339.796827. Let z = 86.2 + b. Round z to three decimal places. -0.003 Let s be 1 + (2/6)/(3/18). Let a be (s + (-12)/2)*(-15725941)/3. Suppose -2 = 2*h, 0 = 3*l + 4*h - a - 474055. What is l rounded to the nearest one million? 5000000 Let a = 140.996 - -0.004. Let t = a - 25. Let g = t - 116.00222. What is g rounded to four decimal places? -0.0022 Let y = 10 + -9.72. Let b = y + -0.28000266. Round b to 6 dps. -0.000003 Let o be 7*72971 - 1*(-6 + 14 + -11). Round o to the nearest one hundred thousand. 500000 Let s = -0.00621 + 0.001573. What is s rounded to three dps? -0.005 Let t = -83.371 + 88.2653. Let b = t + -4.92. Let o = -0.02 - b. Round o to three dps. 0.006 Let d = -59.989 - -60. Let n = d - -0.164. Let p = 0.021 - n. What is p rounded to two decimal places? -0.15 Let d = -2101.9999992326 - -2102. What is d rounded to seven dps? 0.0000008 Su
{ "pile_set_name": "DM Mathematics" }
4*x - 50. Determine q(7). -78 Let t(a) = -18*a - 187. What is t(-14)? 65 Let g(b) = -b**2 - 2472*b - 9852. Determine g(-4). 20 Let u(o) = 2*o**3 + 368*o**2 - 2285*o + 27. Determine u(6). -3 Let y(m) = -55*m**2 + 313*m + 110. Calculate y(6). 8 Let p(d) = 3*d**3 + 37*d**2 - 30*d - 30. Calculate p(-13). 22 Let t(m) = 49*m - 2243. Give t(46). 11 Let t(r) = -r**3 - 24*r**2 + r + 32. Calculate t(-24). 8 Let n(f) = f**2 - 101*f + 1581. Calculate n(82). 23 Let o(c) = -c**2 + 46*c - 352. Give o(38). -48 Let m(p) = 17*p**2 + 64*p + 9. Give m(-4). 25 Let m(w) = -36*w + 730. Give m(20). 10 Let a(g) = -g**2 - 42*g - 88. Give a(-39). 29 Let x(c) = -137*c - 580. Calculate x(-4). -32 Let o(k) = -7*k**2 + 94*k - 40. Determine o(13). -1 Let i(x) = 2*x**2 + 8*x - 54. What is i(-7)? -12 Let w(c) = 2*c**3 - 181*c**2 - 272*c - 386. Give w(92). -18 Let v(u) = 16*u**3 + 114*u**2 + 50*u + 233. Determine v(-7). -19 Let n(w) = -5*w**3 - 2*w**2 + 5*w - 6. Calculate n(-4). 262 Let v(k) = 2*k**3 + 393*k**2 + 580*k - 1019. Calculate v(-195). -44 Let x(n) = n**3 + 22*n**2 - 27*n - 54. What is x(-23)? 38 Let p(i) = -i**3 + 29*i**2 - 34*i - 25. Give p(28). -193 Let x(f) = 38*f + 310. Give x(-7). 44 Let h(j) = -j**2 + 128*j + 933. Calculate h(-7). -12 Let l(v) = -v**3 + 11*v**2 - 21*v + 6. Give l(8). 30 Let q(z) = z**2 - 45*z + 231. Determine q(42). 105 Let p(k) = -18*k + 1013. Calculate p(55). 23 Let u(b) = 4*b**3 - 40*b**2 + 18*b - 174. Determine u(10). 6 Let d(v) = -v**3 - 16*v**2 - 22*v + 64. What is d(-14)? -20 Let k(d) = 23*d - 656. Calculate k(28). -12 Let a(s) = s**2 - 34*s - 95. What is a(37)? 16 Let k(w) = 7*w**2 + 62*w - 9. Determine k(-8). -57 Let n(z) = -22*z + 109. Determine n(6). -23 Let k(a) = -a**3 - 12*a**2 + 59*a - 120. Give k(-16). -40 Let d(v) = v**3 - 2*v**2 - 37*v - 141. What is d(-4)? -89 Let m(n) = -2*n**2 - 10*n + 151. Calculate m(-12). -17 Let c(j) = j**3 + 128*j**2 - 270*j - 1298. Calculate c(-130). 2 Let n(j) = 141*j**2 + 1837*j + 32. Give n(-13). -20 Let o(j) = 6609*j - 13211. Give o(2). 7 Let z(c) = 7*c**2 - 14*c + 22. What is z(4)? 78 Let m(n) = 2*n**2 + 86*n + 336. What is m(-4)? 24 Let f(u) = 10*u - 3. Calculate f(5). 47 Let p(x) = x**3 - 17*x**2 + 84*x - 564. Calculate p(14). 24 Let m(v) = -74*v + 12. Calculate m(3). -210 Let h(r) = -33*r + 163. Determine h(4). 31 Let b(y) = y**3 - 3*y**2 + 7. Determine b(2). 3 Let z(i) = -3*i**3 - 577*i**2 - 760*i + 761. Calculate z(-191). -3 Let t(c) = -102*c - 116. Calculate t(-7). 598 Let p(i) = 238*i**2 + 2154*i + 113. Give p(-9). 5 Let h(j) = -147*j - 7816. Calculate h(-53). -25 Let u(w) = 126*w - 253. Calculate u(2). -1 Let q(p) = -17*p**3 + 2*p**2 - 11*p - 19. Determine q(-2). 147 Let y(q) = 78*q**2 - 112*q - 336. Determine y(-3). 702 Let q(r) = -18*r**2 + 22*r. Determine q(1). 4 Let n(s) = s**3 - 42*s**2 + 34*s - 1527. Give n(42). -99 Let q(s) = s**3 - 2*s**2 - 12*s + 16. Give q(7). 177 Let h(p) = p**3 - 274*p**2 + 137*p - 37535. Calculate h(274). 3 Let i(m) = -11*m**2 + 330*m - 40. Give i(30). -40 Let w(r) = -19*r + 1981. What is w(92)? 233 Let a(w) = -31*w + 262. What is a(11)? -79 Let y(c) = -2*c**2 - 259*c - 975. Give y(-4). 29 Let w(m) = 5*m**2 + 10. Give w(3). 55 Let u(h) = 2*h**2 - 333*h - 1717. Give u(-5). -2 Let w(v) = 162*v - 6. Give w(2). 318 Let d(v) = -v**2 + 37*v + 368. What is d(45)? 8 Let b(j) = j**2 - 130*j + 2972. Give b(100). -28 Let p(d) = -20*d + 369. Determine p(12). 129 Let b(w) = w**3 - 12*w**2 + 18*w + 13. What is b(10)? -7 Let l(o) = -o**2 + 77*o - 1293. What is l(52)? 7 Let d(r) = -r**3 - 3*r**2 + 649*r - 4. Give d(24). 20 Let a(j) = j**3 + 11*j**2 + 9*j - 48. Calculate a(-5). 57 Let q(g) = 30*g + 201. What is q(-9)? -69 Let v(c) = -c**2 + c + 41. Determine v(0). 41 Let x(q) = -136*q + 428. Determine x(3). 20 Let n(f) = -6*f - 22. Determine n(-6). 14 Let p(q) = q**3 - 10*q**2 - 14*q + 48. Determine p(11). 15 Let l(s) = -4*s**3 + 21*s**2 + 3*s - 50. Calculate l(5). -10 Let p(u) = 120*u - 1579. Calculate p(12). -139 Let i(b) = -262*b - 137. Give i(0). -137 Let c(y) = -1420*y - 26982. Give c(-19). -2 Let p(c) = c**3 + 20*c**2 + 88*c + 1. Give p(-13). 40 Let c(x) = 10*x - 116. Calculate c(9). -26 Let b(m) = -847*m + 18746. Give b(22). 112 Let p(j) = -31*j + 1662. Give p(54). -12 Let j(p) = p**2 - 28*p + 30. Calculate j(27). 3 Let b(m) = -37*m + 419. Give b(11). 12 Let u(b) = -b**3 - 31*b**2 + 33*b + 24. What is u(-32)? -8 Let s(j) = -11*j**2 - 492*j - 1269. Determine s(-42). -9 Let l(p) = -3*p**3 - 1224*p**2 + 2*p - 6. What is l(0)? -6 Let k(w) = -350*w + 4910. Determine k(14). 10 Let d(v) = 2*v**3 + 29*v**2 + 108*v + 13. Determine d(-7). -8 Let y(a) = -240*a + 1642. Calculate y(5). 442 Let g(f) = f**3 - 126*f**2 - 379*f - 1077. Give g(129). -45 Let o(b) = -19570*b + 97851. Give o(5). 1 Let p(z) = -z**2 - 146*z - 605. Give p(-142). -37 Let s(w) = -w**3 + 12*w**2 + 18*w - 1. Determine s(13). 64 Let h(r) = 477*r - 5241. Determine h(11). 6 Let d(o) = -2*o**3 + 2*o**2 + 34*o - 37. Determine d(1). -3 Let v(b) = -b**3 - 6*b**2 + 22*b - 24. Calculate v(-9). 21 Let d(w) = 80*w - 6. Give d(-2). -166 Let g(r) = -2*r**2 - 71*r + 261. Give g(-38). 71 Let z(l) = -3450*l - 55203. What is z(-16)? -3 Let l(d) = -6*d**3 + 175*d**2 - 61*d + 932. Calculate l(29). 4 Let o(u) = -2*u**2 - 26*u - 66. Give o(-8). 14 Let z(c) = -c**2 - 26*c - 90. What is z(-22)? -2 Let v(k) = -2*k**3 - 23*k**2 - 34*k - 564. Determine v(-12). -12 Let h(a) = -a**3 + 10*a**2 - 23*a + 18. Give h(8). -38 Let s(k) = -k**3 + 13*k**2 - 717*k + 10229. Give s(14). -5 Let t(i) = 9625*i + 57739. Calculate t(-6). -11 Let c(a) = 33*a**2 - 4*a + 2. Give c(1). 31 Let o(l) = 437*l - 3346. What is o(7)? -287 Let v(a) = 38*a**2 - 72*a - 220. Calculate v(-3). 338 Let l(z) = -46*z - 1515. Determine l(-33). 3 Let b(t) = 23*t + 351. What is b(-10)? 121 Let r(q) = -19*q**2 + 744*q - 124. Determine r(39). -7 Let o(i) = -689*i + 5. Determine o(0). 5 Let u(m) = -16*m**2 - 48*m - 2. What is u(-3)? -2 Let k(i) = 227*i + 1584. Determine k(-7). -5 Let c(p) = -p**2 - 45*p - 553. Give c(-28). -77 Let v(u) = -u**3 - 57*u**2 + 1169*u + 91. Give v(-73). 18 Let h(t) = -7*t + 170. Calculate h(18). 44 Let g(q) = -4*q**2 - 58*q - 164. Give g(-9). 34 Let x(d) = 2*d**3 - 3*d - 21. Calculate x(4). 95 Let i(g) = -6*g**3 + 87*g**2 + 40*g + 70. Calculate i(15). -5 Let y(z) = -108*z + 490. Calculate y(5). -50 Let q(k) = -79*k - 984. Calculate q(-8). -352 Let y(a) = a**3 - 14*a**2 + 18*a - 19. Give y(12). -91 Let o(p) = 2*p**3 - 17*p**2 + 71*p - 347. What is o(7)? 3 Let d(j) = -23*j + 180. Give d(10). -50 Let j(b) = 201*b + 5661. Calculate j(-28). 33 Let n(o) = o**2 - 11*o + 59. Give n(7). 31 Let a(t) = 1169*t - 9. What is a(0)? -9 Let j(v) = v**3 + 47*v**2 - 27*v + 6142. What is j(-50)? -8 Let w(u) = -3*u - 5. Calculate w(-7). 16 Let s(q) = -41*q - 4597. Give s(-112). -5 Let k(s) = s**3 + 17*s**2 - 24*s - 125. What is k(-18)? -17 Let z(q) = -q**3 - 10*q**2 + q + 31. Calculate z(-8). -105 Let l(b) = b**3 + 8*b**2 + 84*b + 292. Calculate l(-4). 20 Let p(g) = g**3 - 42*g**2 - 45*g + 91. Give p(43). 5 Let l(v) = 11*v**3 - 3*v**2 + 9*v - 4. Give l(1). 13 Let f(j) = -j**2 - 8*j + 130. Determine f(0). 130 Let s(i) = -i**3 + 7*i**2 + 12*i + 105. Determine s(8). 137 Let t(o) = 10*o**3 + 631*o**2 + 61*o - 115. Calculate t(-63). 11 Let o(v) = -v**3 - 13*v**2 - 30*v - 50. Give o(-11). 38 Let h(r) = -r**3 + 58*r + 17. Determine h(8). -31 Let i(d) = -417*d - 30448. Give i(-73). -7 Let s(x) = -x**3 - 12*x**2 + 253*x - 11. What is s(-23)? -11 Let q(w) = -7*w**2 - 3*w + 2. Determine q(4). -122 Let w(o) = 4*o**2 + 28*o - 244. Give w(5). -4 Let w(o) = o**2 - 18*o - 1074. Calculate w(-24). -66 Let l(y) = y**3 - 19*y**2 - 24*y + 563. What is l(19)? 107 Let n(i) = i**2 + 14*i + 75. Determine n(-4). 35 Let n(m) = 15*m**3 + 2*m**2 + 18*m - 35. Calculate n(2). 129 Let i(u) = -254*u - 1284. Give i(-5). -14 Let m(d) = -7*d**2 - 40*d - 6. Calculate m(-7). -69 Let i(c) = -2*c**2 - 55*c + 19. What is i(-27)? 46 Let k(h) = 7*h**2 - 249*h - 1231. Calculate k(40). 9 Let l(j) = -4*j**2 + 77*j - 76. Determine l(19). -57 Let h(s) = s**3 + 5*s**2 - s - 178. Give h(0). -178 Let l(q) = -211*q - 451. Calculate l(-2). -29 Let v(d) = 2*d**2 + 40*d - 66. What is v(-23)? 72 Let s(a) = a**2 - 52*a - 584.
{ "pile_set_name": "DM Mathematics" }
q a multiple of 32? True Let w(c) = -152*c - 10. Let n be w(5). Is 32 a factor of (-3)/9*(2 + n)? True Let x(g) = -g**2 - 20*g - 54. Let h be x(-17). Is ((-3)/(-9))/(h/(-7407))*1 a multiple of 33? False Is 34072*(-33)/(-24) - -22 a multiple of 11? True Let o(y) = 11*y + 88. Let k be o(-17). Let p = k + 187. Is 44 a factor of p? True Let h(j) = -j**3 - 18*j**2 + j. Let s be h(-18). Let r be 2/10 + s/(-10). Does 14 divide r/(8/(-130))*24/(-30)? False Let y(n) = 2752*n - 391. Is y(4) a multiple of 2? False Suppose 212171 = 21*x + 8555. Is x a multiple of 96? True Let w be (2 - (-22)/(-14)) + 5104/14. Is 3 a factor of 10*(3 - 1)*219/w? True Suppose -188*g + 24554 = -183*g + 4*l, 2*l = -g + 4906. Does 99 divide g? False Let d = 402 - 402. Suppose 4*y = -12, 3*a + 3*y + y - 933 = d. Is a a multiple of 9? True Let k(a) = a**2 + 8*a + 13. Let y be k(-5). Let u be (2/(-3) - 0)/(y/15). Suppose 3*f - 168 = u*p, 0*f + 2*p - 147 = -3*f. Is 17 a factor of f? True Suppose 0 = -a - 5*n - 144 - 71, 2*n = 0. Let h = a + 331. Is h a multiple of 3? False Suppose 0 = 3*x + 9*g - 11*g + 23, 12 = 3*g. Let z(s) = -3*s**3 - 9*s**2 + 5*s - 5. Is 10 a factor of z(x)? True Let k be 2/(-11) + 15190/55 + 1. Let s = 151 - k. Let r = -24 - s. Is r a multiple of 6? True Suppose 52 = -2*x + 4*l, -2*l = 4*x - 6*l + 120. Let d = x + 268. Suppose -5*b = b - d. Is b a multiple of 7? False Is (3460/(-90))/(16/(-792)) a multiple of 5? False Suppose 2*t - 3*y - 4 = 0, 0 = -3*t + 7*t - 2*y - 8. Suppose 4*q + 704 = 5*l, t*q + 431 = 5*l - 271. Is 13 a factor of l? False Let t be (-49)/(-7) + 1*-1. Let s(u) = 3*u - 19. Let p be s(t). Is 6 a factor of (-119 + 47)/(3/2*p)? True Let y(x) = 213*x + 3066. Is y(-6) a multiple of 64? False Let z(k) = -k**3 + 18*k**2 + 17*k + 43. Let u be z(19). Suppose -t - u = 0, n - 95 = -4*n - t. Is n a multiple of 12? False Let z be 7/((6/9)/(4/6)). Suppose 9*s = z*s + 18. Suppose -s*x + 6*x + 264 = 0. Is 11 a factor of x? True Let o(i) = 6*i - 87. Let c be o(15). Suppose 4743 = 28*z + c*z. Is z a multiple of 9? True Let g(d) = -2*d - 48. Let f be g(-19). Does 8 divide ((2 - f/(-6)) + 0)*147? False Let r = 11930 + 12447. Is 206 a factor of r? False Suppose -90*q + 3*r + 5752 = -85*q, 2*q + 5*r = 2276. Does 28 divide q? True Let h = 66 + -63. Suppose -h*m = -150 - 117. Is m a multiple of 9? False Suppose r - 54850 = -3*v, -23*v + 24*v - 18254 = -4*r. Does 20 divide v? False Let g = 5474 + -3110. Suppose -38*m + 35*m = -g. Is m a multiple of 54? False Suppose 0 = 78*j - 46978 - 110972. Is 9 a factor of j? True Let f = -184 + 298. Let j(q) = -f + q**2 + 0*q**2 + 136 + 7*q. Does 32 divide j(-11)? False Let y(k) = -k - 4. Let c be y(-4). Let j(v) = c + 4 + 9*v - 3*v**2 + 6*v**2. Is 15 a factor of j(-6)? False Suppose -669 = -g - 3*u - 90, -g + 607 = -4*u. Let j = g + -253. Is j a multiple of 13? True Let n be -1 + (-1)/(2/272) + -1. Is n/(-24)*(-96)/(-2) a multiple of 23? True Let j(c) = 100*c - 404. Is 22 a factor of j(8)? True Does 9 divide 14 + -6 - ((-63010)/(-2))/(-5)? True Let k be (2 + 6/(-4))*4. Suppose -13*q = 9 - 74. Suppose -259 = -k*t - h, q*h + 497 = 3*t + t. Is t a multiple of 23? False Let r(b) = 987*b + 282. Is r(4) a multiple of 23? False Let d(h) = -383*h + 1. Let v(w) = 766*w - 1. Let a(l) = -7*d(l) - 4*v(l). Let y be a(-1). Suppose -7*p + y = -2*p - 5*q, 0 = -q - 1. Is 15 a factor of p? True Let v(t) = -88*t + 4172. Does 25 divide v(9)? False Suppose 2*j - 10 = f, 5*j - 13*f + 17*f = 25. Suppose 5*d - 775 = -j*x, 45 + 780 = 5*x - 5*d. Is 10 a factor of x? True Let y(x) = 26*x + 5905. Is 9 a factor of y(69)? False Let z = 694 + -321. Suppose 1975 = 5*a + 4*u - u, -a - 5*u + z = 0. Does 20 divide a? False Let d = -713 - -731. Suppose 1293 = -d*z + 27429. Is z a multiple of 33? True Let f(v) = -v**3 + 4*v**2 + 4*v + 36. Let w be f(6). Is 22 a factor of (-9620)/(-16) + 3/w? False Let h = -14 - 3. Let t(m) = 40 + 33*m - 16 - 48*m + 16 - m**2. Does 2 divide t(h)? True Let c(f) = -6*f - 15. Let d(l) = -11*l - 31. Let i(k) = 7*c(k) - 4*d(k). Is i(2) a multiple of 23? True Let k(i) be the first derivative of -i**2/2 + 54*i + 14. Does 14 divide k(20)? False Let b = 41 - 53. Let s be b/21*(-42)/6. Suppose 0 = -s*l + 82 + 1150. Is 14 a factor of l? True Suppose 82 + 238 = -4*g. Is (-4)/g*15784 - (-2)/(-10) a multiple of 32? False Let f(c) = 3*c**2 - 332*c + 1. Is f(139) a multiple of 8? True Let g(h) = -h**2 + 5*h. Let i(a) = -7*a**2 + 23*a + 10. Let d(r) = -6*g(r) + i(r). Suppose -x + 9 = 3*o, 3*x + 3*o - 1 = -4. Is d(x) a multiple of 5? False Let k(v) = -351*v - 78. Let y be k(-10). Suppose -13*d = -19*d + y. Does 13 divide d? True Let w(r) = -r**3 + 8*r**2 + 10*r - 7. Let a be w(9). Let l(q) = 20*q**2 + q**3 - 19*q - 1 - 3*q - a + 23. Is 14 a factor of l(-21)? False Let c be 4/((20/85)/(-2)). Let p = c + 60. Let t = p + -12. Is t a multiple of 7? True Let g = -71 - -76. Suppose 5 = 3*q - 2*q + p, 5*q + p - g = 0. Suppose q = u + 5*k - 100, -2*k = -2*u + 54 + 158. Does 21 divide u? True Suppose -4*t + 0*h - 2*h = 48, -t - 4*h = 26. Is (-3 - 3276/t) + 15/(-25) a multiple of 18? True Let g(i) = i**2 + 17*i - 78. Let d be g(-30). Suppose 1352 = 10*c + d. Is 26 a factor of c? True Let x = -740 - -1666. Let s = 1459 - x. Is s a multiple of 4? False Let i(n) = 643*n - 309*n - 317*n + 62. Is 19 a factor of i(21)? False Is 8/((-2)/(-1)) + (19 - 8)*1697 a multiple of 130? False Let w be (-26299)/(-117) + (-8)/(-36). Let s = w - 202. Does 23 divide s? True Suppose 0 = -5*j + 3*k + 51422, 5*k + 30866 = 24*j - 21*j. Is 53 a factor of j? True Let c = 1614 - 749. Suppose -235 = 5*g - c. Is g a multiple of 9? True Let h be 8/16*(1 + 9) - 2. Let b(j) = -2*j**3 + 7*j**2 - 5*j + 6. Let m be b(h). Suppose m = -5*p - 2*s + 300, 285 = -2*p + 7*p - s. Does 20 divide p? False Let r be 30/(-135) + (-20)/(-9). Suppose -r*c + 0*c + 2*s = 10, 0 = 3*s - 12. Let t(k) = -66*k - 5. Is t(c) a multiple of 12? False Let a = 41 + -40. Let m be -2 - (0 + 0)/a. Is 10 a factor of m/(-8) + (-476)/(-16)? True Let a = 1100 - 177. Let m(f) = 638*f + 9. Let k be m(1). Let z = a - k. Is z a multiple of 12? True Let q = -13678 + 13909. Is 7 a factor of q? True Let l(c) be the third derivative of -1/24*c**4 + 1/30*c**5 - 1/2*c**3 + 0 + 0*c - 30*c**2 - 1/40*c**6. Does 6 divide l(-2)? False Let n(u) = -u**3 - 4*u**2 + 3*u + 4. Let o be n(-4). Let l = 97 + o. Suppose -4*q + l = 17. Is 3 a factor of q? True Let h(y) = -5*y**2 - 4*y + 12. Let g be h(2). Is (6/8*90)/((-3)/g) a multiple of 15? True Suppose 0 = -6*j - 13 - 251. Let o = j + 52. Does 7 divide (-420)/(-8)*o/10? True Suppose -7*l + 16 = -2*l - 4*r, 8 = -l - 2*r. Let n be l - ((-2306)/(-22) - 2/(-11)). Let w = 9 - n. Is 19 a factor of w? True Let c be 3*6/18 - (43 + 0). Let h = 38 + c. Is 14 a factor of (-3)/((-682)/(-172) + h)? False Let t = 9 + -9. Let l(x) = -31*x - 195. Let g be l(-8). Suppose -5*m = 15, t*v + g = v - 5*m. Does 13 divide v? False Let n be (-522)/(-2) - 4 - 5. Is 8 a factor of (n/(-27))/(6/(-144))? True Suppose 17*u - 18*u = 27. Is ((-20)/(-6))/((-87)/u + -3) a multiple of 15? True Suppose 7461 = d + 73*v - 74*v, 37323 = 5*d - 2*v. Is d a multiple of 9? False Let p(r) = r**2 - 105*r + 914. Does 32 divide p(-90)? True Suppose -2*p - 92 = -2*y - 6, -4*y = 12. Let v = -30 - p. Does 9 divide (18 - v)/(4/18)? True Suppose 0 = z + 2*t - 9 - 5, 5*z = -4*t + 40. Let n be z/(-18) + (-4120)/(-72). Let d = -3 + n. Is d a multiple of 18? True Let q(g) = 29*g - 78. Let b be q(2). Is 15/(-25) - (10232/b + 4) a multiple of 39? True Suppose -3*n - 3*f = 114, 4*f - 7 - 1 = 0. Is 7 a factor of (-1 - 13)*(n + 28)? True Suppose 50*t + 97*t + 41*t = 16280800. Does 10 divide t? True Let m(g) = 12*g**3 + g**2 + 2*g. Let v(d) = 8*d - d**3 + 6*d**2 - 5 + d + 2*d - 3*d. Let x be v(7). Does 26 divide m(x)? True Suppose -37*a = -49249 - 23049. Is 30 a factor of a? False Let o(a) = -13*a**2 - 13*a - 55. Let u be o(-6). Let m = 638 + u. Is 9 a factor of m? False Let k be (0 - (-8492)/14) + (-328)/574. Let o = 114 + k. Does 16 divide o? True Let d(s) = 95*s**2 - 54*s - 4. Is d(4) a multiple of 32? False Suppose 4*h - 301 = 5*k, 0 = -h + 5*h + 4. Let v(l) = -24*l + 2. Let u be v(-5). Let g = u + k. Is g a multiple of 24? False Suppose -2*d = -d - p
{ "pile_set_name": "DM Mathematics" }
the third derivative of 13735317*b**4 - 24*b**2 + 67*b - 42 wrt b. 329647608*b Find the second derivative of 10107546*n**2 + 22*n + 56009 wrt n. 20215092 What is the first derivative of -26195141*l**2 + 1611248 wrt l? -52390282*l What is the derivative of 1459*b**4*z - b**4 + 40515*b*z - 16881612*z - 2 wrt b? 5836*b**3*z - 4*b**3 + 40515*z What is the second derivative of -3*t**5 - 1376432*t**2 - 7820743*t? -60*t**3 - 2752864 Find the second derivative of 57135*l**2*t**2 + l**2*t - 4*l**2 + 332*l*t**4 - 21*l*t - l + 3328*t wrt t. 114270*l**2 + 3984*l*t**2 Find the second derivative of -4*p**5 - 61170*p**4 + 214*p**2 + 165206664*p. -80*p**3 - 734040*p**2 + 428 Differentiate 1322302382*m + 1197771481 wrt m. 1322302382 What is the second derivative of 64560*x**4 + x**2 - 493419*x + 4? 774720*x**2 + 2 Differentiate 20094850*a + 15891619 wrt a. 20094850 Find the first derivative of 1880*i**2 + 19488*i - 70250321 wrt i. 3760*i + 19488 What is the second derivative of 18714522*s**3 + 5*s + 651116 wrt s? 112287132*s Find the third derivative of -14*l**4 - 1318026*l**3 + l**2 - 29173*l - 1 wrt l. -336*l - 7908156 Find the second derivative of k**3 - 2*k**2*m**3 - 114413*k**2*m**2 + 2*k*m**3 - 477*k*m - 2006*m**3 wrt k. 6*k - 4*m**3 - 228826*m**2 Find the third derivative of -622*c**6 + 302560*c**3 + 40927686*c**2. -74640*c**3 + 1815360 What is the second derivative of 24640772*v**3 - 83421656*v wrt v? 147844632*v Find the third derivative of 4*k**3*v**2 + 20786388*k**3*v*z + 1690*k**2*v**2 + 40773*k**2*v*z wrt k. 24*v**2 + 124718328*v*z What is the third derivative of -24867394*b**6 - 6*b**3 - 113415791*b**2? -2984087280*b**3 - 36 Find the first derivative of 5120*b*k**2*o*t - 31222*b*k**2*t - 2*b*o + b - 9373*k**2*o + k**2 - 20*k wrt t. 5120*b*k**2*o - 31222*b*k**2 What is the second derivative of -7*f**5 - 709746*f**2 + 64617936*f wrt f? -140*f**3 - 1419492 Find the second derivative of 85*a**4*h**2 - 9037*a**4*h - a*h**2 - 1320*a + 278*h wrt a. 1020*a**2*h**2 - 108444*a**2*h What is the third derivative of 26*a**3*g*r - 2*a**3*g + 180825*a**3*r + 6179*a**2*g - a**2*r + 7*a*r - 4*g*r - 2*r wrt a? 156*g*r - 12*g + 1084950*r Find the first derivative of 12262488*h - 5532226. 12262488 Find the third derivative of 4805981*y**3 - 2*y**2 + 9743974 wrt y. 28835886 What is the second derivative of -236*l**5 + 16661*l**4 + 120593*l + 16 wrt l? -4720*l**3 + 199932*l**2 Find the second derivative of -11500170*x**3 - 2*x - 1186492. -69001020*x Differentiate 376046795*b - 165118026 wrt b. 376046795 Find the second derivative of -39509081*w**3 - 43858527*w wrt w. -237054486*w Find the second derivative of 4*j**2*l**3 + 21511379*j**2*l - 33*j*l**3 - j*l - 9886*l**3 + 2*l**2 - 2*l - 16 wrt j. 8*l**3 + 43022758*l Differentiate -152*g**2 - 210478*g + 298629015. -304*g - 210478 What is the third derivative of 3*w**2*x**3 + w**2 - 111*w*x**2 + 86099*x**5 - 8*x**2 + 40*x wrt x? 18*w**2 + 5165940*x**2 Find the first derivative of 8*n**3 - 6233821*n**2 - 116895714. 24*n**2 - 12467642*n What is the third derivative of -2*m**3*n*o**2 - 206*m**3*o**3 + m**2*n*o + 44*m**2*n - 773*m*n*o**3 + 14*n*o**3 + 46*n*o**2 - 679*n*o wrt o? -1236*m**3 - 4638*m*n + 84*n What is the derivative of 71*n**2 + 1428877*n*y - 110679432*y wrt n? 142*n + 1428877*y What is the second derivative of -91982181*t**2 - 7192*t + 1088 wrt t? -183964362 Differentiate -2391825*a**2 + 3914897 with respect to a. -4783650*a What is the third derivative of -9*f**3*g**3 + 3*f**3*g**2 - f**3*g + 2*f**3 + 53*f**2*g**2 + 122302*f*g**3 + 1139*f*g wrt g? -54*f**3 + 733812*f What is the second derivative of -5*j**2*k + 850227*j**2 + 5*j*k - 2875671*j wrt j? -10*k + 1700454 Find the third derivative of -2*a**6 + 18736999*a**5 + 78448137*a**2. -240*a**3 + 1124219940*a**2 Find the third derivative of 10*u**4 - 7520261*u**3 + 913754*u**2 + 63. 240*u - 45121566 What is the second derivative of -2*f**3*n**4 - f**3*n - f**3 + 2*f**2*n - 107*f**2 - 220*f*n - 2239693*n**4 - n wrt n? -24*f**3*n**2 - 26876316*n**2 What is the third derivative of 1730*s**2*x**4 - 3*s**2*x**2 - 3*s**2*x + 134*s**2 - 1085*s*x**4 + x**2 + 8*x - 76 wrt x? 41520*s**2*x - 26040*s*x What is the first derivative of 663440894*w**4 + 526171071 wrt w? 2653763576*w**3 Find the second derivative of -153939*f**3 - 361*f**2 + 930634*f + 37 wrt f. -923634*f - 722 Find the third derivative of 40742563*p**4 - 3*p**3 + 749773211*p**2. 977821512*p - 18 What is the second derivative of -4197414*p**2 + 52820*p - 4 wrt p? -8394828 What is the derivative of -25499087*x**3 + 182526524 wrt x? -76497261*x**2 What is the second derivative of 80924074*a**3 - 171240081*a? 485544444*a Find the third derivative of 18*f**5 + 21349169*f**3 - 16845515*f**2. 1080*f**2 + 128095014 What is the second derivative of -840405*g**2 - 6*g + 239462? -1680810 What is the first derivative of 4*z**3 - 1169*z**2 - 396*z + 38791958? 12*z**2 - 2338*z - 396 What is the second derivative of 14*j*l**2*r + 13*j*l*r**2 + 70*j*r**2 - j + 840*l**2*r**2 + 281*l**2*r + l**2 + 7*l*r**2 + 178*l + 2*r**2 wrt l? 28*j*r + 1680*r**2 + 562*r + 2 What is the third derivative of 1040287*d**3*g**2 + 35*d**3*g - 2*d**3 - 10*d**2*g**2 - 3*d**2 + 5*d*g**2 + 193*g**2 + 252*g wrt d? 6241722*g**2 + 210*g - 12 What is the derivative of 1505*i**2 - 19229*i - 530845452? 3010*i - 19229 Find the second derivative of -4923066*m**2 + 7*m - 146243 wrt m. -9846132 What is the second derivative of -1850*y**4 + 130*y**3 + 4*y**2 - 566*y - 14271 wrt y? -22200*y**2 + 780*y + 8 What is the third derivative of 8*o**5 - 12148302*o**4 - 3*o**2 + o + 7543497 wrt o? 480*o**2 - 291559248*o What is the derivative of -79562865*x**4 - 305045289? -318251460*x**3 What is the second derivative of 9*h**4 + 13730*h**2*o + 63002*h*o - 124*h wrt h? 108*h**2 + 27460*o Find the second derivative of -2*v**5 - 96759*v**4 - 9*v**2 - 45585559*v wrt v. -40*v**3 - 1161108*v**2 - 18 What is the second derivative of -220981429*i**2*x**2 + 188464325*i*x**2 wrt i? -441962858*x**2 What is the second derivative of -34488903*m**2 - 3431057*m? -68977806 What is the second derivative of 8406285*h**3 - 72856956*h wrt h? 50437710*h Find the first derivative of -107*b**2 - 139638*b*m + 4441781*m - 12 wrt b. -214*b - 139638*m Find the second derivative of -6086*b**3 - 452*b**2 + 81011*b - 414 wrt b. -36516*b - 904 Find the third derivative of 29439*h**4*k + 2*h**4 + 84*h**3*k - 2*h**3 - 911*h**2*k + 17*h**2 + h*k - 69*k - 1 wrt h. 706536*h*k + 48*h + 504*k - 12 What is the second derivative of -13291657*f**2*n**5 - 3*f**2*n - 36108783*f**2 wrt n? -265833140*f**2*n**3 Differentiate -14275860*k**2*q - 7*k**2 - 3021184*q + 62 wrt k. -28551720*k*q - 14*k Differentiate -473763437*j**2 + 108303071. -947526874*j Find the third derivative of -278301794*b*p**3 - 2878*b*p**2 + 14*b + 117*p**2 + p + 3 wrt p. -1669810764*b Differentiate 7440255*d*o*z + 29751*d*o - 34*o*z + 1410*o with respect to z. 7440255*d*o - 34*o What is the first derivative of -496456847*z**3 - 593731331 wrt z? -1489370541*z**2 Differentiate 14505693*f + 182928723 wrt f. 14505693 Find the third derivative of 12393218*p**4 - 655671*p**2 - 2*p + 3. 297437232*p Differentiate -227971*d**3 + 121*d + 6826614 wrt d. -683913*d**2 + 121 What is the third derivative of -9313199*r**3 - 325*r**2 + r - 895? -55879194 What is the third derivative of 2263*i*k**3 - 2*i*k**2 + 25*i*k + 39*i + k**4 + 1903*k**3 - 2*k**2 - 5*k wrt k? 13578*i + 24*k + 11418 What is the derivative of -1396089*c**2*k - 10414003*c**2 wrt k? -1396089*c**2 What is the third derivative of 59102668*p**3 - 173124495*p**2 wrt p? 354616008 Differentiate 2042930*k**4 + 16419060 wrt k. 8171720*k**3 What is the third derivative of 133197*f**5 + 2*f**2 + 2440*f + 169 wrt f? 7991820*f**2 Find the third derivative of -9301*p**6 - 2639*p**4 - 4*p**2 + 4473387 wrt p. -1116120*p**3 - 63336*p What is the second derivative of -43572912*c*m**2 + 146010*c*m - 14*m wrt m? -87145824*c What is the third derivative of 2*z**6 + 5824187*z**5 + 2*z**3 - 35725555*z**2 wrt z? 240*z**3 + 349451220*z**2 + 12 What is the derivative of 789953391*z - 553045382? 789953391 Find the third derivative of -35981772*b**5*k + 15591*b**2 + 373*b*k wrt b. -2158906320*b**2*k Find the third
{ "pile_set_name": "DM Mathematics" }
2 assuming l is positive. l**(-1568/15) Simplify (u/(u*u**(-1/2)*u)*u)**(-10/11)*u**13*u**(-5)/u assuming u is positive. u**(72/11) Simplify (u/(u/(u/u**(2/7))))**29*u/(u*u**(-4)*u)*(u*u**(9/4)*u)/u assuming u is positive. u**(755/28) Simplify (o**(1/19)/(o*o**(-4/5)))/(o**0/((o/o**17)/o)) assuming o is positive. o**(-1629/95) Simplify n**(-8)*n**(-11/4)*n**(-10)*n*(n*(n/((n/(n*n*n*n*n*n**(-11)*n*n))/n))/n)/n assuming n is positive. n**(-95/4) Simplify (d*d**(4/9))/d**(-2/7)*(d**(-1/4))**(-22) assuming d is positive. d**(911/126) Simplify ((y**(-1)*y)/y**(-2/7))/(y**(2/3))**35 assuming y is positive. y**(-484/21) Simplify (((y**(2/5))**(-3/16))**(-4/13))**(26/7) assuming y is positive. y**(3/35) Simplify ((j*j**(-5)/j)/j**(-5)*j*((j*j/j**(-2))/j)/j*j/(j/((j/(j/(((j*j*j/(j*j/j**(-5/2)*j)*j)/j)/j))*j)/j))*j)**19 assuming j is positive. j**(19/2) Simplify (f/f**0)**32/(f*(f**(-2)*f)/f)**(-2/5) assuming f is positive. f**(158/5) Simplify (k**(-3/2))**(-17)/(k*k/(k**29*k)*k**(7/4)) assuming k is positive. k**(207/4) Simplify q**(-17)*q**1*q*q*q**(-26)*q*q**(-34)*q*q assuming q is positive. q**(-71) Simplify (r*r*r/(r*r/r**0*r*r)*r*r*r/((r*r/(((r/(r/(r*r*r*r**(-5/6)/r*r*r)))/r)/r))/r))/(r**(-4)/r*r**(-9)*r) assuming r is positive. r**(91/6) Simplify ((a*((a/(a**(1/2)/a*a))/a)/a)/a)**(2/7)/(a/a**(1/4))**(10/7) assuming a is positive. a**(-3/2) Simplify (((l*l**(5/3))/l*(l/(l/(l/(l*l/(l/((l/l**1)/l))))))/l)**39)**(-30) assuming l is positive. l**(-1950) Simplify (((p*(p**(-10)*p)/p*p)/p**10)**43)**(-2/3) assuming p is positive. p**516 Simplify (m**(-20)/m)/m**4*((m*((m*m**(-5/4))/m*m*m)/m)/m*m)/m**(-13) assuming m is positive. m**(-45/4) Simplify ((v**4*v**1)/(v**(1/4))**(-25))**(-12) assuming v is positive. v**(-135) Simplify (f**1*f/(f*f*f/(f**(-8)/f)*f))/((f/(f*f**2))/f**9) assuming f is positive. 1 Simplify (b**(-2/11)*b)**(-2/13)*b*b*b/((b**(2/61)/b)/b)*b**(-2/59) assuming b is positive. b**(2474183/514657) Simplify ((s*(s/(s**13/s))/s*s*s)/s**(13/2))/((s**17*s)/(s**(-5/7)*s)) assuming s is positive. s**(-465/14) Simplify (o**8/((o/(o/(o/o**(-15))))/o))/(o**(-1/2))**(-15) assuming o is positive. o**(-29/2) Simplify (c**1*c**(-6/11)/c*c*c)/((c**0*c)/c**(2/25)) assuming c is positive. c**(147/275) Simplify q**(-12)*q**(-6)*q**(-1/18)*q**(-1/22) assuming q is positive. q**(-1792/99) Simplify ((l*l**10)/l)/l**(18/5)*(l/l**(-13))**(2/175) assuming l is positive. l**(164/25) Simplify ((s**7/s*s*s)/(s/(s**(1/2)*s)*s))/(s**(-4/9)*(s*s*s**(4/3)*s)/s) assuming s is positive. s**(83/18) Simplify ((g/g**(-21)*g*g*g/(g*g**(-11)*g*g*g*g))**(-6))**(5/8) assuming g is positive. g**(-465/4) Simplify ((u*u*u/(u/(u**(-2)/u))*u*u*u)**11*(u**(-4)/u)**(2/21))**15 assuming u is positive. u**(2260/7) Simplify (p/(p**31/p)*p**(-4/11))**(-45) assuming p is positive. p**(14535/11) Simplify g**(-3)/(g**(-6)*g)*(g**(1/2))**27 assuming g is positive. g**(31/2) Simplify j**(7/5)/(j*j**(6/5))*j**9/(j*j**(-3/16)) assuming j is positive. j**(591/80) Simplify ((((k*k/(k**(-4)*k))/k)/(k/(k/(k*k**9*k*k))))**(-5/6))**(2/31) assuming k is positive. k**(40/93) Simplify ((h/(h/((((h*h**(7/3)/h)/h)/h)/h*h))*h)/(h**9/h)*h**(2/15)*h**(-1/20)/h)**(2/33) assuming h is positive. h**(-91/198) Simplify (u*u**(-2/5))**(-2/33)*u**(6/5)*u/((u*u**(-11)*u*u)/u)*u assuming u is positive. u**(669/55) Simplify (z**4*(z/(z*z**(2/23)))/z)/(z**(-1/17)/(z*(z*z**(-3/8))/z)) assuming z is positive. z**(11251/3128) Simplify (((n*(n*(n*n/n**(4/3))/n*n)/n*n)/n)/(n*n/(n**(-19)/n)))/(n**(-3)*n*(n*n**(19/2))/n) assuming n is positive. n**(-167/6) Simplify (((m*m/m**(-2/21))/m)/m**(-27))**(2/13) assuming m is positive. m**(1180/273) Simplify n*n*n/n**(7/5)*n**4*n*n**(-18/11)/n**(-21) assuming n is positive. n**(1428/55) Simplify (q/((q/q**14)/q)*q**(2/37))/(q/q**(-8))**49 assuming q is positive. q**(-15760/37) Simplify (x**(-3/4)/x*x*x**19)/(x**(1/7)*x**(14/5)) assuming x is positive. x**(2143/140) Simplify (h*h**7/h*(h/(h*h**(2/29)*h))/h)/((h**(-1)/h)/(h**(-2/13)/h)) assuming h is positive. h**(2178/377) Simplify (v**(-5))**(-4/17)*((v/v**12)/v)/v*v**(10/3)*v assuming v is positive. v**(-382/51) Simplify ((n**(-17)*n)/((n/((n*n**16*n)/n))/n))/((n*n**(-4/5))/(n*n**14)) assuming n is positive. n**(79/5) Simplify ((l*l**(-23)/l)/l**(-5/3))/(l**(-30)*l*l*l*l*l/(l**3*l)) assuming l is positive. l**(23/3) Simplify ((j/(j*j**(1/8)))/((j/j**(-9)*j)/j))/(j*j/(j*j**(1/11))*j/(j/j**(-2/31))) assuming j is positive. j**(-29925/2728) Simplify (f/(f/(f/(f/f**(4/7)))))/f**19*(f/(f*f**8))**29 assuming f is positive. f**(-1753/7) Simplify (c**8*c**(-1/6))/(c**(-1/19)/(c*c**(-3/7))) assuming c is positive. c**(6749/798) Simplify ((q*q**(-14))/q)/(q/(q*(q/q**13)/q*q))*q**(-3)*q*q/(q**19/q)*q assuming q is positive. q**(-44) Simplify (m**(3/8))**28/(m**(1/12)*m**(-2/7)*m) assuming m is positive. m**(815/84) Simplify h**(1/6)/h*(h*(((h**(-29)/h)/h)/h)/h*h)/h*h*h/(h*h**(2/49)*h)*h/(h*h/h**(-7/4)) assuming h is positive. h**(-20947/588) Simplify (a**31*a**(1/5)*a)/(a/a**(2/35))**(1/5) assuming a is positive. a**(5602/175) Simplify s**(-2/13)/(s*s**5*s*s*s)*s*(s/(s**(-26)/s))/s*s*s/(s/s**(-9)) assuming s is positive. s**(141/13) Simplify y**(-1/50)/y*y**(-18/5)*(y*y*y**(-5/2)*y)**(-2/107) assuming y is positive. y**(-24767/5350) Simplify (g*g**(2/5))/(g**(-22)*g)*g**(4/7)*g**(3/8) assuming g is positive. g**(6537/280) Simplify (j**(-11)*j**(-1/6))/(j*j*(j**(5/2)/j)/j*j*j*j*j**(-1/5)) assuming j is positive. j**(-247/15) Simplify (a/((a*a**(-3/5))/a))**37/(a**(-1/8))**(4/23) assuming a is positive. a**(13621/230) Simplify (((h**8/h)/(h*h*((h**1/h)/h*h)/h*h))/(h*h*h**2*h)**(-15))**(1/16) assuming h is positive. h**5 Simplify (l**(-5/7)/(l*l**(5/4)))/(l**(1/4)/(l*l**4*l)) assuming l is positive. l**(39/14) Simplify l**(-8)*l*l**(2/19)*l*l**(-2)/(l/(l/(l*l**6))) assuming l is positive. l**(-283/19) Simplify ((d**34/d)/((d*d**22)/d))**(-48) assuming d is positive. d**(-528) Simplify (n**(-2/7))**(-7/5)/(((n**(1/16)/n*n)/n)/n*n*n**(1/24)) assuming n is positive. n**(311/240) Simplify (g**(15/7)*g**(6/5))**(-14) assuming g is positive. g**(-234/5) Simplify (((((j/(j*(j*j*j**24*j)/j))/j)/j*j)/j)/j)/j*(j*j/j**8*j)/j*(j/j**(4/13))/(j*j**27) assuming j is positive. j**(-823/13) Simplify (n*n/n**(2/5))**15/((n**(-2/21)*n)/(n**(-1/12)*n)) assuming n is positive. n**(2017/84) Simplify (((v*v/(v*v**(3/5)))/v)/(v/v**2)*((v**(-7)*v*v)/v)/((v/(v/(v/v**3)))/v))**49 assuming v is positive. v**(-637/5) Simplify (f/f**1)**(-3/4)*(f**4)**(-31) assuming f is positive. f**(-124) Simplify w**(-2/51)/w*w**(-19)/w*w*w**(-4)*w/(w*w**(-1/11)) assuming w is positive. w**(-13435/561) Simplify p*p**(1/2)*p*p*p**(-12)/p*p*(((p**1/p)/p)/p)/p*p**12/p assuming p is positive. 1/sqrt(p) Simplify p*p**6*p*p/(p**0/p)*(p**(1/8)*p)/p*p**(2/5) assuming p is positive. p**(421/40) Simplify (q**9)**(3/20)/(((((q/q**(-2/3))/q)/q)/q*q*q*q)/q*q)**(2/3) assuming q is positive. q**(43/180) Simplify w**(-1/6)/w*w/(w*w**(-7)/w)*w*((w*w**(3/4))/w)/(w*w**(1/12)*w*w) assuming w is positive. w**(11/2) Simplify c**7*c*c*c*c/((c*c**(-20)*c)/c)*(c**6)**11 assuming c is positive. c**96 Simplify (((g**(1/3))**(-6/19))**34)**(2/19) assuming g is positive. g**(-136/361) Simplify ((a*a**(-3/4))/a)**1*a/(a*a**(-4/7))*a**(2/9) assuming a is positive. a**(11/252) Simplify (((g/(g/(g/((g*g**(-2/15))/g))))/g**(1/4))/(g**(-3)*g**(1/4)/g))**29 assuming g is positive. g**(4031/30) Simplify ((((m/(m/(m*m*m*m**(-2/9)*m*m)))/m)/m)/m)**(2/5)*(m**(-6)*m)/m**(-2/23) assuming m is positive. m**(-4349/1035) Simplify u**(-2/5)/(u**(-2)/u)*(u**(-1))**(-1/6) assuming u is positive. u**(83/30) Simplify (i**(8/3)*i**11)**(20/7) assuming i is positive. i**(820/21) Simplify ((u*u**(-5)/u)/(u/(u/u**(-2/11)))*(u**(-1))**(1/11))**(17/2) assuming u is positive. u**(-459/11) Simplify (m/m**(-11))/(((m**(-14/11)/m*m)/m)/m)*(m**(-12)*m)**10 assuming m is positive. m**(-1042/11) Simplify (i/i**35)/(i/(i**(-1/10)*i))*(i**(-1))**27 assuming i is positive. i**(-611/10) Simplify (n**(-1)/(((n*n**3)/n)/n*n))/(n/(n**(-13)/n)*n**16) assuming n is positive. n**(-35) Simplify (((u**0)**(-12))**(-16))**(-2/9) assuming u is positive. 1 Simplify (h**(-3))**(2/7)*h**(-4)*h**(3/5) assuming h is positive. h**(-149/35) Simplify k/(k*k**12)*k**
{ "pile_set_name": "DM Mathematics" }
- w/5. Solve 1 = d - a*q, -4*d + 3*q = -q - 12 for d. 4 Suppose -w = -5*w. Let k(r) = r + 3. Let c be k(-3). Suppose -2*j + 3 + 1 = c. Solve w = -2*p + 2*y + 6, j*p - y - 1 - 7 = 0 for p. 5 Suppose 0*g = 3*g. Suppose 2*d - 21 - 17 = g. Solve -3*v + 0*v = -5*t + d, -4*t = v - 5 for v. -3 Suppose -r = 3*f + 15 - 3, 4*f + 23 = r. Let q be -6*(18/(-4))/(-3). Let k = -9 - q. Solve r*y - 4 = -5*d, -3 = -y - k for d. -1 Suppose 0 = -r - 1, -4*k - 15 = k - 5*r. Let p be (k/5)/((-2)/10). Solve 4*x + 20 = 4*q, 0*x + 3*x + 19 = p*q for q. 4 Let a be (18/(-10))/(6/(-20)). Let i be ((-4)/a)/((-1)/3). Solve -2*k + 3*x - 18 = 0, 0*k - i*k + 5*x - 26 = 0 for k. -3 Let k = -7 + 11. Solve -4*v - 8 = -k*z, 2*v + 0*z - 26 = -4*z for v. 3 Suppose 2*f = -0*f + 10. Suppose f*c = 5*g + 41 + 74, 4*c = -g + 92. Solve 5*s + 4*v - 29 = 0, -5*s + 0*s + c = -2*v for s. 5 Let u = 0 - -4. Let x be ((-6)/u)/(-3)*6. Solve -5*y = 4*h - 11, x*h + 2*h = -5 for y. 3 Let m(p) = -p**2 - 3*p + 4. Let u be m(-3). Suppose -v - 2*v = 0. Suppose v = 5*c + 2*w - 28, -u*w = -2*c - w + 15. Solve n + 2*f = -n, 0 = 2*f + c for n. 3 Suppose -s - s + 26 = 0. Let m = -11 + s. Solve m*g - 2*l + 6 = 0, -2*l - 5 = g - 4*l for g. -1 Let c = 143 + -140. Solve 4*g - c - 13 = 0, -4*g + 20 = -4*u for u. -1 Let b be 2*(-1 + 27/6). Suppose 0 = -6*d + b*d - 5. Solve 0*l - 15 = l + 5*s, -d*l = s + 27 for l. -5 Suppose 4*y + 5 = 5*y. Solve 0 = -b - 5*o + 8, 5*b = 3*b - y*o + 6 for b. -2 Suppose 0 = -17*y + 50 - 16. Solve n + q - 3 = 4*n, y*n - q + 1 = 0 for n. -2 Suppose -3*n + 2*n - h + 2 = 0, 0 = -2*h - 6. Let g(i) = -i + 9. Let k be g(10). Let x = k + n. Solve -2*d + 3*y + 25 = 0, x*d = 3*y + 22 + 13 for d. 5 Let o = -3 - -6. Solve -o*v + 5*v + 3*h = 13, 3*h = -3*v + 18 for v. 5 Suppose j - 3*j = 4. Suppose 0 = 5*d - 3*d - 8. Let v = d + j. Solve -9 = -v*k - 5*l, l + 10 = 4*k + 3*l for k. 2 Suppose 4*t + 13 = -5*w, 13 + 4 = -t - 4*w. Solve 2*d = -3*k + 2, -3*k + t = 2*k + 3*d for k. 0 Let i = -1 + 4. Suppose i*n - 15 = -2*t + 3*t, -4*n - 3*t + 20 = 0. Solve 6 = 2*l - 4*g + 14, -n*g + 4 = -4*l for l. 4 Let h(o) = -15 + 0*o**2 + o**2 + 0*o + 10*o. Let y = 30 + -42. Let t be h(y). Solve v + 2*q - t = 0, 0*q = 2*v - q - 3 for v. 3 Let v(w) = 10*w - 4. Let r be v(1). Solve q = l, -5*l = 5*q - 4*q - r for q. 1 Let z = -45 - -54. Solve n + z = -2*g, -n + 3*g + 3 = -3 for n. -3 Let t(s) = 3*s**2 + s - 1. Let u be t(1). Suppose -u*o + 4*z = -7, o + 0 + 3 = 4*z. Solve 2*x - h + o = -2*h, 4*h - 20 = 0 for x. -5 Let s = 39 + -12. Let y be (-58)/(-3) + 18/s. Solve -4*m + y = -2*d, 5*d = -m - 3*m + 6 for d. -2 Let x = 37 + -16. Let d = x - 20. Solve q + 5*h = -6, h = 5*q + 3 + d for q. -1 Suppose 3*w + 4*r = 3*r + 5, 3*w - 3 = -3*r. Suppose w*m - 40 = -2*m. Solve 3*q + 2 = g + 2*q, -g + m = -5*q for g. 0 Let p(t) = 0*t**2 - 9 + t**2 - 2 - t**3 + t. Let u be p(0). Let j = 16 + u. Solve -j*r - 8 = -4*d, -3*d + d - 2 = -r for r. -4 Let z = -3 + 6. Let x be (2 - z) + 7 - 1. Solve -4*b = 4*t - 28, 0*t - x = -2*b + t for b. 4 Suppose 5 = -5*z - 7*a + 2*a, 0 = -2*a - 10. Solve -4*w = -i + 7 - 0, -2*i - z*w - 10 = 0 for i. -1 Let x = 0 - -5. Let u = -6 + 16. Let i = u + -7. Solve -x*r + 8 = -i*p - 5, -p = -5*r + 11 for r. 2 Let o be (-1)/(-4) + (-4)/16. Solve 2*u = -n + 4 - 0, -4*n = o for u. 2 Let c(z) = z**2 - 7*z - 5. Let m be c(8). Solve 0 = 2*h - m*b - 0 - 5, -5*h + 4*b + 9 = 0 for h. 1 Suppose 9*g = 5*g + 28. Solve 8*f - 3*f - 2*y = 5, -2*y + g = -f for f. 3 Suppose 2*m - 46 + 38 = 0. Solve -m*i - 4 = -2*y - 14, 15 = 4*i - y for i. 5 Let n be -6*2*2/(-8). Suppose q + q - n*b = 1, 4*b = -3*q + 44. Suppose -2*k + k + q = 0. Solve 5*m - c = 29, 8 = -4*c - k for m. 5 Let x be 2/(-4)*(-2 + -6). Let o be (6/x)/(9/12). Solve -7 = 3*u - 4*k + 4, o*u + 5 = 5*k for u. -5 Let p(l) = 3*l - 1. Let b be p(7). Suppose -8*u = -3*u - b. Let v be u/(-14) + (-23)/(-7). Solve 3*r - a = -7, 0*r + 3*a = r - v for r. -3 Let g(q) = 3*q**2 + q + 2. Let h be g(2). Suppose 2 = -0*l + l. Solve 2*v = 2*d + h, -l*d - d = -v + 16 for d. -4 Let y(f) = -f + 3. Let k be y(-3). Suppose k = -2*j + 4*j. Solve 3*a + 2*w = -j, 4*w - 15 - 9 = 4*a for a. -3 Suppose -2 = -j - 0. Solve 5*z + 35 = 4*t, 2*t + j = -0*z - 4*z for t. 5 Let t = -13 - -8. Let o = 10 + t. Let p be (5 - o)*(0 - 1). Solve p = -3*l - 5*c + 4, 2*l - c = -0*c + 7 for l. 3 Let u be -1*3/3 + 3. Suppose 0 = 4*d - u*d - 12. Solve w = -3*g + d, -g + 4 = w + 2 for w. 0 Let x(a) = -a**3 + 8*a**2 - 7*a + 2. Let c be x(7). Suppose 2 = -c*h + 4, 5*h + 39 = 4*j. Solve -3*b - 11 = 5*i, -1 = 2*b - i - j for b. 3 Let m(a) = -a**3 - 4*a**2 - a - 2. Let o be m(-4). Let t = 5 - o. Suppose -12 = -2*i - 2*y - 4, 4*i = t*y + 2. Solve -5*u - 20 - 4 = -p, 5*u + 27 = -i*p for p. -1 Suppose u - 10 = -w, 2*u + 50 = 3*w - 0*w. Let p = w - 8. Solve p = -4*q + 2*v, 4*q - 2*v = -q - 5 for q. 1 Let q(p) = 2*p**2 - 6*p + 5. Let t be q(3). Solve 2*c - t*d - 16 = 0, -2*d = -2*c - d for c. -2 Let w(j) = 4*j - 3 + j - 4*j + 3*j. Let o be w(2). Solve 5*y - 35 = -3*f, -2 = f - 3*y + o for f. 5 Let x be (8 - 4)*(1 + -3). Let j = x - -10. Solve 3*m - 15 = 5*f + 2*m, -5*m = j*f + 6 for f. -3 Let n = -2 + -15. Let l = n - -20. Solve -2*x + c + 5 = 0, 3 = -l*x - c - 2 for x. 0 Let d be 8*2/2*2. Solve -5*p = 6 - d, 5*h = -p + 22 for h. 4 Let a = 11 + -7. Suppose -5*r + 24 = -d - d, 2*r - a = -2*d. Let g be -2 - d - 3 - -15. Solve -5*h = 4*c + 27, -3*c - g = -c + 2*h for c. -3 Let w = -1 + 4. Suppose -c - w*g = -2*c + 10, -3*c + 5*g = -26. Solve 1 = i, -5*d - i = 2*i + c for d. -2 Let o(f) = -f + 15. Let q be o(-10). Solve -5*n = -0*n + q, n = 5*p + 10 for p. -3 Let d(p) = -3*p**2 + 2*p + p**2 + 3*p**2. Let t be d(-2). Let q be -60*(13/5 + -3). Solve -2*w + t*o - 4*o = 2, 3*w - 3*o = q for w. 5 Suppose -2*c + 5 = -11. Suppose 4*z + 68 = c*z. Solve -3*t - 2*l - z = 0, t + 7 = -0*l - 2*l for t. -5 Let b be (0 + 1/1)*4. Let f(s) = s**2 - 3*s - 1. Let h be f(b). Let k be (-897)/(-138) - 7/2. Solve -4*l + l - 13 = -2*o, 12 = k*o - h*l for o. -1 Let b = -31 + 33. Solve k + 3 - b = 2*h, -5*h - 5*k = -40 for h. 3 Suppose 0*w - 5*w - j + 98 = 0, -4*j = 4*w - 72. Suppose -4*g + w = g. Solve 2*h + 5 + 11 = g*t, 2*t - 8 = -3*h for t. 4 Let c be (-6)/(-4)*8/4. Let w be (6/(-10))/((-9)/(-45)). Let q be (8/(-12) - 1)*w. Solve 0 = -4*t - q*y + 4 - 1, -c = -y for t. -3 Let d(k) = -3*k. Let b be d(-1). Solve -o - 2*o = 5*g - 11, b*o - 3 = -3*g for g. 4 Let z be 1/(-3) + (-30)/(-9). Let m = z - 2. Suppose 0 = 5*u - 11 - 4. Solve -3*l = -s + m, u*s + 4*l = 1 + 2 for s. 1 Let s(n) = n**2 + 3*n - 12. Let r be s(9). Suppose g + r = 4*g. Let x = g - 22. Solve -m - x = -3*d, -5*d = -m - 0*m - 14 for m. -4 Suppose -2 = 3*k - 17. Solve 7 = -2*m + 5*b - 8, k = b for m. 5 Let u = 9 + 19. Let s(a) = a**3 + 5*a**2 - a - 1. Let f be s(-5). Solve 3*x + 1 = -f*n + u, n - 18 = -3*x for n. 3 Let g(d) = -d**3 - 3*d**2 + 3*d - 4. Let f be g(-4). Suppose o = -f*o + 4. Solve 3*b - 14 = 6*b + o*r, r + 12 = -5*b for b. -2 Suppose -v - 3 + 10 = 3*y, -2*v - 6 = -4*y. Solve 0*p = y*p - n - 3, 3 = 3*p - 3*n for p. 2 Let s be -1*33/(3/1). Let f = -11 - s. Solve 5*c + 2*w - 7 = f, -2*w - 17 = -3*c - 0 for c. 3 Suppose -14*r = -15*r + 4. Solve -4*a = -r*j - 28, 4*j - 23 = -5*a + 3*j for a. 5 Suppose 3*g + g + 3*p = 39, -2*g + 22 = 4*p. Solve 3*w + g = 0, 27 = -4*l - 9*w + 4*w for l. -3 Let v be 4/30 + (-354)/(-45). Solve 2*f + 5*z + 1 = -27, 3*f + v = z for f. -4 Let v = -12 + 41. Let i(w) = w**2 - 3 - w + 2 + 0*w. Let f be i(3). Solve 4*g = -f*a - v, 3*g = g - 2 for a. -5 Let u = -11 - -14. Solve -u*n - 2*p + 11 = 0, -5*n + 2*n = 4*p - 13 for n. 3 Let w = 3 + 3. Let k be (-15)/(-5)*4/w. Let z be 6 + (k - (0 + 3)). Solve -z*h = 5*x - 25, -2*x + 3*h = 14 + 1 for x. 0 Let h(f) = -2*f**3 - 3*f**2. Let m = -6 - -4. Let j be h(m). Solve j*a + 5*b = -10, -2*a + 2*b - 2 = -6 for a. 0 Suppose 0 = 3*f + 2*f. Suppose -3*w = -2*r + 19, -w - 35 = -4*r + 8. Solve -2*h - n + 4 = f, -h + r = 4*h + 3*n for h. 1 Let y be (12/(-3) - -7) + 3. Solve 3*k = -t + y*t - 20, -4*k = 5*t - 20 for k. 0 Let t be (-4 - 0)*(-1)/2. Let i(z) = 2*z + 2*z**2 - 2*z**3 + z**2 + 3*z**3 + 2*z**2 - t. Let s be i(-2). Solve 4*g + 4 = 4*m - s*m, -2*m + 5*g = -14 for m. 2 Let o = 66 + -26. Suppose o = -2*d + 4*d. Suppose
{ "pile_set_name": "DM Mathematics" }
-1/2 Put 2, -2, 46, 3, -4, 1 in decreasing order. 46, 3, 2, 1, -2, -4 Sort -5, 8, 5/4, 171 in descending order. 171, 8, 5/4, -5 Sort 2, 5, -193, -1, 25, -38. -193, -38, -1, 2, 5, 25 Sort 3, 108, -4, -0.1. -4, -0.1, 3, 108 Sort -47, 0.5, 4, 6/5, -1/4 in ascending order. -47, -1/4, 0.5, 6/5, 4 Put 2/25, 0.3, 3, -6/17, -17 in decreasing order. 3, 0.3, 2/25, -6/17, -17 Put 436, 53, 1 in decreasing order. 436, 53, 1 Sort -2, -7317, 14. -7317, -2, 14 Sort -3, -430440, 4. -430440, -3, 4 Sort 52, 1, -7 in increasing order. -7, 1, 52 Sort 6, -1, -61, 2, -7 in descending order. 6, 2, -1, -7, -61 Sort -1, -3, 9, -32, 2. -32, -3, -1, 2, 9 Put -2, 2, -0.103, 5, 17 in decreasing order. 17, 5, 2, -0.103, -2 Put -277, 1/4, 11 in descending order. 11, 1/4, -277 Put 17, 2, -7, -4, 65 in decreasing order. 65, 17, 2, -4, -7 Sort -1, -525, -8, 5 in descending order. 5, -1, -8, -525 Sort 8/7, -8/11, 0 in increasing order. -8/11, 0, 8/7 Sort 2.2, -24, 0.4, 0.2, -26. -26, -24, 0.2, 0.4, 2.2 Put 29, -224, 0, 5, -1 in increasing order. -224, -1, 0, 5, 29 Put -4, 2, 3, -2, -5, -141 in descending order. 3, 2, -2, -4, -5, -141 Sort 0.5, 0.15, -2/17, -19, 6, -1 in descending order. 6, 0.5, 0.15, -2/17, -1, -19 Put -0.3, 1/5, 3, 1/459, 2 in descending order. 3, 2, 1/5, 1/459, -0.3 Put -4, 0.86, 4 in decreasing order. 4, 0.86, -4 Put 2/9, 4/3, -12/5 in increasing order. -12/5, 2/9, 4/3 Sort -1, 1, 838, 5, 0, 4 in decreasing order. 838, 5, 4, 1, 0, -1 Sort 46.1, 8.4, 2, 1/5. 1/5, 2, 8.4, 46.1 Put -1, -569, -6 in ascending order. -569, -6, -1 Put -4, 41, 2, 214 in descending order. 214, 41, 2, -4 Put -8, 8, -2 in ascending order. -8, -2, 8 Sort 0.3, 1/13, -3/5, 40, -0.2, 0.4 in increasing order. -3/5, -0.2, 1/13, 0.3, 0.4, 40 Sort 0, 9, 2/87 in decreasing order. 9, 2/87, 0 Sort -0.1, 0.2, 544, -3, -5, -3/5 in increasing order. -5, -3, -3/5, -0.1, 0.2, 544 Put 6, -1/1408, 1060 in decreasing order. 1060, 6, -1/1408 Put 78, 2, -5, 0, -58 in decreasing order. 78, 2, 0, -5, -58 Sort -1/4, 1/3, -2, -5 in increasing order. -5, -2, -1/4, 1/3 Sort 16, 46, 62 in decreasing order. 62, 46, 16 Sort -35, -2, -75, 5 in increasing order. -75, -35, -2, 5 Sort 1, -0.5, 3, -365 in ascending order. -365, -0.5, 1, 3 Sort -10192, -3, 1, -4 in decreasing order. 1, -3, -4, -10192 Sort -3, 5, 3, 25312 in decreasing order. 25312, 5, 3, -3 Sort 4, -0.1, 182.98 in descending order. 182.98, 4, -0.1 Sort -2, 4, 83312, 2 in descending order. 83312, 4, 2, -2 Sort -2.9, -2, -93, -4/7, -10 in ascending order. -93, -10, -2.9, -2, -4/7 Sort 0.4, -2, 22, 3, -0.004. -2, -0.004, 0.4, 3, 22 Sort 10, 107, 2, 12 in ascending order. 2, 10, 12, 107 Put -1/5, -0.5, -13, -5/4, -5 in increasing order. -13, -5, -5/4, -0.5, -1/5 Sort -18, 0.3, -6, -952. -952, -18, -6, 0.3 Sort 0.5, -0.1, -2382, 0.4, 0 in decreasing order. 0.5, 0.4, 0, -0.1, -2382 Put 163, 7, 3, 13 in descending order. 163, 13, 7, 3 Sort -2, -39/4, 3, 25, 0.5, 5 in increasing order. -39/4, -2, 0.5, 3, 5, 25 Sort 1/2, 127/2, -4, 10, -1, 2 in decreasing order. 127/2, 10, 2, 1/2, -1, -4 Sort -2, 2/5, -11350, 1/3 in decreasing order. 2/5, 1/3, -2, -11350 Sort -16, 381, 7, -4 in increasing order. -16, -4, 7, 381 Sort -3/4, -0.3, 20, -120, -2/7 in descending order. 20, -2/7, -0.3, -3/4, -120 Sort -1/7, -0.001, -1.24, -0.6. -1.24, -0.6, -1/7, -0.001 Put -4.7, 24.1, -5 in ascending order. -5, -4.7, 24.1 Sort -4, 2/11, 0.8, -2/25, -367/4. -367/4, -4, -2/25, 2/11, 0.8 Put 5, -3, -5, 519, -17 in descending order. 519, 5, -3, -5, -17 Put 49, 0.02, -0.08 in decreasing order. 49, 0.02, -0.08 Sort 5, 2, 81, -10 in decreasing order. 81, 5, 2, -10 Sort 85, 10, 1, -4, -3, 5 in increasing order. -4, -3, 1, 5, 10, 85 Put -5, -1298, -2, -3 in descending order. -2, -3, -5, -1298 Put 39, -63.9, 4 in descending order. 39, 4, -63.9 Sort 1/2, 3/4, -0.3, -2/7, 8.3 in decreasing order. 8.3, 3/4, 1/2, -2/7, -0.3 Put -2/13, -2, -1, -438, -6/11 in decreasing order. -2/13, -6/11, -1, -2, -438 Sort -38, 3, -59, 2 in descending order. 3, 2, -38, -59 Put -59, 3, -4, 0.4, 5, 0.7 in decreasing order. 5, 3, 0.7, 0.4, -4, -59 Put 47, 2/15, -220 in descending order. 47, 2/15, -220 Sort 4, -4, -596, -2 in increasing order. -596, -4, -2, 4 Sort -9, -2, -4, 2, 0, -188. -188, -9, -4, -2, 0, 2 Put 5, 8, 6/35, -4, 0 in increasing order. -4, 0, 6/35, 5, 8 Put 6, -5, 528, 3 in ascending order. -5, 3, 6, 528 Put -5, -38, 12, 3 in decreasing order. 12, 3, -5, -38 Put 3, -5, 5, 1025, 22 in descending order. 1025, 22, 5, 3, -5 Sort -104, 270, -1, 4 in descending order. 270, 4, -1, -104 Put -35, -0.5, -2, -145.4 in descending order. -0.5, -2, -35, -145.4 Put -1, 47, 0.022, -4, 1, 2/11 in increasing order. -4, -1, 0.022, 2/11, 1, 47 Sort 49, 27, -154, -3. -154, -3, 27, 49 Sort 751, 37, -7, 3. -7, 3, 37, 751 Sort 4, 157, 0, -1, 5, -2. -2, -1, 0, 4, 5, 157 Put -2, 5/2261, -0.1 in descending order. 5/2261, -0.1, -2 Put -5, 3, 1, 6, -83 in descending order. 6, 3, 1, -5, -83 Sort -3, 1, -2627, -7. -2627, -7, -3, 1 Put -3/884, -1/8, -0.6 in descending order. -3/884, -1/8, -0.6 Sort 27, 3401, -3, 5 in descending order. 3401, 27, 5, -3 Sort -2, 1/3, 2/3, 1, -15, 5 in decreasing order. 5, 1, 2/3, 1/3, -2, -15 Sort -1, 4, 5, 9, 2, 132 in descending order. 132, 9, 5, 4, 2, -1 Put -4, -204, 221 in increasing order. -204, -4, 221 Sort -13, 0.3, 13, -45 in descending order. 13, 0.3, -13, -45 Put 12, 3, -4/9, 1, 27 in increasing order. -4/9, 1, 3, 12, 27 Sort -5, -3, 13, 5 in descending order. 13, 5, -3, -5 Put -3, 5, 346 in decreasing order. 346, 5, -3 Put 5741, 5, -3 in ascending order. -3, 5, 5741 Sort -1.8, 2/5, 0.11, 5 in ascending order. -1.8, 0.11, 2/5, 5 Put 2/3, 10, 0.4, 22, 5.1 in ascending order. 0.4, 2/3, 5.1, 10, 22 Put 127, 2, 0.24, 2/3, 0 in descending order. 127, 2, 2/3, 0.24, 0 Put -3/5, -1268/11, 2, -3 in ascending order. -1268/11, -3, -3/5, 2 Put -7, 5, 355, 2 in decreasing order. 355, 5, 2, -7 Sort -1, -14, -62, 4, 1, 0.4. -62, -14, -1, 0.4, 1, 4 Sort -66, -86, 0.1, 1, 5, 4 in ascending order. -86, -66, 0.1, 1, 4, 5 Sort 2/7, 1/8, 3/5, 226 in increasing order. 1/8, 2/7, 3/5, 226 Sort 50, -0.31, 12 in increasing order. -0.31, 12, 50 Sort -2, -7, 6, 156, -5, 2 in descending order. 156, 6, 2, -2, -5, -7 Put 0.1, 132, -0.4, -0.15, -1/3 in decreasing order. 132, 0.1, -0.15, -1/3, -0.4 Sort 24, -35, -18, 0.2, -0.5. -35, -18, -0.5, 0.2, 24 Put 2, -1509, 495 in increasing order. -1509, 2, 495 Sort 3, 1, -4, 632680 in decreasing order. 632680, 3, 1, -4 Sort -269, 2, -1, 0, -145 in decreasing order. 2, 0, -1, -145, -269 Sort -1/3, 0.3, -1622/7 in ascending order. -1622/7, -1/3, 0.3 Sort -133, -248, -3, 2. -248, -133, -3, 2 Put 1, -5, -3505 in descending order. 1, -5, -3505 Put -1/15, -47, 4, 2/13, -2 in ascending order. -47, -2, -1/15, 2/13, 4 Put -221, 4, 7 in descending order. 7, 4, -221 Put 3/5, 1, 2.50221 in decreasing order. 2.50221, 1, 3/5 Sort 3749, 3, -4. -4, 3, 3749 Sort 1, 19, 8, 10, 0 in ascending order. 0, 1, 8, 10, 19 Sort -5, 2, -2, 0.4904, 3. -5, -2, 0.4904, 2, 3 Sort 4, 51, 5, -4808, -4. -4808, -4, 4, 5, 51 Sort -2, -4684, -17 in ascending order. -4684, -17, -2 Sort 2/9, -0.02, -12, -0.028 in decreasing order. 2/9, -0.02, -0.028, -12 Sort -1/8, -6, -586, 0, -2/35 in ascending order. -586, -6, -1/8, -2/35, 0 Put 7177, 8, 3, -4, -3, 0 in decreasing order. 7177, 8, 3, 0, -3, -4 Put -1101, -176, -2 in descending order. -2, -176, -1101 Sort -1, 1368, -24 in descending order. 1368, -1, -24 Put 0.17, 4, 1/165, -19 in decreasing order. 4, 0.17, 1/165, -19 Sort -2, -7/8, -1/9, 2, 17 in decreasing order. 17, 2, -1/9, -7/8, -2 Sort 41, -8/9, 9, 12/13, 5. -8/9, 12/13, 5, 9, 41 Put -1, 8, 5, -4, 14, 15 in descending order. 15, 14, 8, 5, -1, -4 Put 9, 4, -5, -15786 in ascending order. -15786, -5, 4, 9 Sort 23, 130, -47 in decreasing order. 130, 23, -47 Put 2, 0.5, 1/3, -2276, 3/7 in decreasing order. 2, 0.5, 3/7, 1/3, -2276 Put -3, 1, -50.1, 0.07, -1, -4/9 in descending order. 1, 0.07, -4/9, -1, -3, -50.1 Put -11, 23/4, -5, -0.1, 0 in decreasing order. 23/4, 0, -0.1, -5, -11 Put 0.54, 3/8, 1, -79 in ascending order. -79, 3/8, 0.54, 1 Put 9/2, -29/3, -0.3, 1.1 in decreasing order. 9/2, 1.1, -0.3, -29/3 Put -11, 4, -1561 in decreasing order. 4, -11, -1561 Put 10.8, -28, -190 in descending order. 10.8, -28, -190
{ "pile_set_name": "DM Mathematics" }
mon divisor of 7 and p? 7 Let x(r) = r**3 - 3*r**2 + 2*r + 4. Let n be x(3). Calculate the greatest common divisor of n and 2. 2 Let y be (-20 - 24)*(1 + 0)/(-1). Calculate the greatest common divisor of y and 22. 22 Suppose f - 6*f = -5*t + 60, 5*t - 4*f = 60. Let v = 17 - t. Calculate the greatest common divisor of 25 and v. 5 Suppose 0 = -5*j, 2*p + 8 = 3*j + 2. Let f be 56 + (-3)/9*p. Suppose -d = z - 18, -d - 2*d = 4*z - 73. What is the greatest common divisor of f and z? 19 Let o(y) = y**2 - 2*y + 2. Let c be o(2). Let a(s) = 36*s + 5 - 1 - 4. Let z be a(c). What is the greatest common divisor of 9 and z? 9 Let u = 37 - 7. Calculate the greatest common divisor of u and 60. 30 Let x(i) = i**3 - i**2 - i - 1. Let d be x(3). Calculate the highest common divisor of d and 70. 14 Let z be 146/2 + 9 + -6. Calculate the greatest common factor of 38 and z. 38 Let z(p) = -p**3 + 8*p**2 - 7*p - 1. Let j be z(5). What is the greatest common divisor of 91 and j? 13 Let u = -2 - -6. Suppose 5*q + f - 77 = -3*f, 2*f = -u*q + 64. Suppose 4 = -v + q. What is the highest common divisor of v and 26? 13 Suppose 4*q = 16, -5*t + 35 = -0*q - 5*q. Let f = -52 - -96. Suppose 5*w - w = f. What is the greatest common factor of w and t? 11 Let p = 20 - 18. Let f = p - -22. Calculate the greatest common factor of 120 and f. 24 Suppose -2*p - 4*m + 45 = 11, 5*p = -5*m + 60. What is the highest common divisor of p and 28? 7 Let n = 6 - -2. Let c be (4/(-3))/(6/(-378)). Suppose 5*z = x - 0*z - c, -68 = -x + z. Calculate the highest common divisor of x and n. 8 Let v = -11 - -44. Let o = -18 + v. What is the highest common factor of 135 and o? 15 Let w be (-141 - 2)/(-1 + 0). Let f(x) = 2*x - 1. Let i(z) = -7*z + 2. Let p(y) = 8*f(y) + 3*i(y). Let h be p(-3). What is the highest common factor of h and w? 13 Let f(m) = 25*m + 1. Let l be f(5). Let z be 2*(-1)/(4/(-50)). Let h = z - 11. What is the highest common factor of h and l? 14 Let v be (-300)/9*9/(-2). Suppose 3*h - 55 + 10 = 0. Calculate the highest common factor of v and h. 15 Let m be (60/35)/((-3)/(-21)). Let n = 14 - m. Calculate the highest common divisor of n and 6. 2 Suppose 3*v + 0*v = 9. Let n be 321/12 - (-2)/8. What is the highest common factor of n and v? 3 Let a be (-4)/(16/(-12))*1. Let z(p) = 2*p**3 + 4*p**2 - 2*p. Let s be z(a). Calculate the greatest common factor of s and 14. 14 Let c be 4/6 + 32/6. Suppose 5*i - 24 = 6. Let u be ((-1)/(-2))/(1/i). Calculate the highest common factor of c and u. 3 Let r = 84 + -54. Calculate the greatest common divisor of 10 and r. 10 Let t = -45 - -47. Calculate the highest common divisor of 14 and t. 2 Let m(r) = 2*r**3 - 3*r**2 + r + 1. Let p be m(4). Suppose -4*i - p = -349. What is the highest common divisor of i and 6? 6 Let c be ((-2)/(-4))/((-2)/4) - -16. What is the greatest common factor of c and 3? 3 Suppose -4 = -0*a + 2*a. Let s be a*3/(-2) + 41. Let t be 1*(-1)/((-2)/22). What is the greatest common divisor of s and t? 11 Suppose 0 = -d - 6 + 22. Calculate the highest common factor of 48 and d. 16 Let s = 0 + 21. Calculate the greatest common factor of 14 and s. 7 Let p = 49 - -66. Suppose -12*r = -5 - 271. What is the highest common factor of p and r? 23 Suppose -f = -27 + 25. Let s be (-1 - 12)/(-1) - -1. What is the highest common divisor of s and f? 2 Suppose -5*p + 3*p + 12 = 0. Let x = p + -2. Suppose -x*d = 3*l + d + 7, 0 = 4*l - 3*d - 39. What is the greatest common divisor of l and 15? 3 Let v = 15 - -8. Let y = 612 + -405. Calculate the greatest common divisor of y and v. 23 Let x be -3*(-2)/(-2) + 344. What is the highest common divisor of 31 and x? 31 Let h(f) = -f**2 + 2*f + 1. Let o be h(3). Let z be (o/3)/(1/(-9)). Suppose 0 = -2*k + 105 + 27. What is the greatest common factor of k and z? 6 Suppose 0 = -10*d + 4*d + 96. Calculate the highest common factor of d and 128. 16 Let k(o) be the first derivative of 5*o**3 + o + 3. Let s be k(-1). Calculate the greatest common divisor of 4 and s. 4 Let r = -1 + 2. Suppose c - 2 - r = 0. Suppose 0 = y - c*y + 150. What is the greatest common divisor of 30 and y? 15 Let s = -72 - -104. Suppose -124 = -2*a - 34. Suppose -3*l - 2*x = 2 - 44, -3*l - x = -a. Calculate the highest common factor of l and s. 16 Let t be 1/(-1 + 1*2). Let h be 3 + (-1 - 4) - -2. Let a be h + 9 + (8 - 6). Calculate the highest common factor of a and t. 1 Let n = 16 - 19. Let v be 120/(-16)*4/n. What is the greatest common factor of v and 70? 10 Suppose 0 = 2*y + 2, -3*f - f - 5*y = -15. Let j = 15 + -17. Let g = j + f. Calculate the greatest common factor of 33 and g. 3 Suppose -2*z + 587 - 227 = 0. Calculate the greatest common divisor of z and 10. 10 Let h(p) = -27*p - 6. Let z be h(-1). Calculate the greatest common factor of 3 and z. 3 Let n be (40/(-6))/((-2)/33). Suppose -15 = -3*x, 0 = 5*g - 0*x + 5*x - n. Let i = g - -19. Calculate the highest common factor of i and 18. 18 Suppose -v - 2*v = 4*c + 100, -v - 2*c = 30. Let j be (10/(-4))/(4/v). What is the greatest common factor of 75 and j? 25 Let x be (3 + -4)*1*0. Let h(q) = q + 34. Let u be h(x). What is the greatest common factor of 51 and u? 17 Let n(o) = o**3 + 6*o**2 - 3*o + 7. Let b be n(-6). Let a = 237 - 137. What is the highest common factor of a and b? 25 Suppose 4*w = 4, -3*d + 22*w - 20*w + 88 = 0. Calculate the greatest common factor of d and 165. 15 Let p = 8 - 5. Suppose 216 = 4*g - 4*s, 4*g - p*g + 3*s - 46 = 0. Let j = g - 17. Calculate the greatest common factor of j and 5. 5 Suppose 3*q + 4*p + 0*p + 20 = 0, 0 = q - 3*p - 2. Let m(t) = -t**3 - 3*t**2 + 2*t + 5. Let s be m(q). Calculate the greatest common factor of 104 and s. 13 Suppose 62 = -m + 3*m - 5*p, 3*p + 54 = 2*m. Suppose 0 = -2*t - 5*v + m + 27, v - 74 = -5*t. Calculate the highest common factor of 7 and t. 7 Suppose -2*i = 4*g - 0*i - 580, -424 = -3*g + 4*i. What is the greatest common factor of 18 and g? 18 Let n(p) = -p**3 + p + 72. Let f be n(0). Suppose 2*d - f = -d. Suppose 70 = 5*j - 5*r, -2*j + 16 + d = -5*r. Calculate the highest common factor of j and 10. 10 Suppose -3*w + 14 = -5*z - 14, 0 = -3*z - 6. Let t = -4 + w. Let y be 2/((-3)/(-18)*3). Calculate the greatest common divisor of y and t. 2 Suppose -61 = -d + 9. Calculate the greatest common divisor of 14 and d. 14 Let k be (-1 - -1)/(16/(-8)). Let j(v) = -v + 10. Let o be j(k). Suppose 0 = -5*p - o + 35. Calculate the highest common factor of 5 and p. 5 Suppose -5*n = -527 - 218. Suppose n + 43 = 6*w. Suppose 2*z + 3*z - 40 = 0. What is the highest common divisor of z and w? 8 Let p(h) = -4*h**3 - 2*h**2 - 4*h + 3. Let j be p(-3). What is the greatest common factor of j and 42? 21 Suppose 3*d - 148 = -d + 4*y, -5*d = -2*y - 182. What is the greatest common divisor of 9 and d? 9 Let v(d) = -d + 1. Let x be v(-2). Suppose -6*g = -x*g - 42. Calculate the greatest common factor of g and 126. 14 Let q be (6/8)/(2/8). Let w be q*6/(-27)*-3. Calculate the greatest common factor of w and 16. 2 Let q(k) = 2*k + 104. Let p be q(0). What is the highest common factor of 26 and p? 26 Suppose 45 = 3*n - 5*d, 10 = 2*n + d - 7. Calculate the greatest common factor of 10 and n. 10 Let w(a) = -a**2 - 3*a + 3. Let m be w(-3). Suppose -3*i - m*t + 315 = 0, -i + t = -3*i + 210. Calculate the highest common factor of 21 and i. 21 Let h(r) = r**3 - 15*r**2 + 13*r + 16. Let l be h(14). Suppose -m = l*m - 105. Calculate the highest common divisor of 7 and m. 7 Let a = 29 - 54. Let l = 2 - a. What is the highest common factor of l and 3? 3 Let u(t) = -t**3 - 4*t**2 - t - 1. Let g be u(-4). What is the highest common divisor of g and 6? 3 Suppose 0 = -2*j + 12 - 4. Let l be 194/6 + j/6. Calculate the greatest common factor of 11 and l. 11 Let j = -21 - -35. Calculate the highest common factor of j and 35. 7 Let s(i) = i + 4. Let w be s(8). Suppose -x - 26 - w = -5*y, 2*y = x + 14. Let g be y/3*3/2. Calculate the greatest common factor of g and 8. 4 Let s be ((-9)/3)/1 - -107. What is the greatest common divisor of 13 and s? 13 Let s(j) = -2*j**2 + 3*j + 5. Let i be s(4). Let z be (18/i)/((-6)/20). Calculate the greatest common divisor of z and 8. 4 Let m be 2/(-7) + (-290)/(-35). Let y(j) = j**3 + 4*j**2 - 6*j - 2. Let s be y(-5). Let w
{ "pile_set_name": "DM Mathematics" }
2)))/((-2)/(-180)). 45/2 Evaluate (-2240)/160*5/10. -7 What is the value of ((-2074)/(-306))/61*495? 55 Evaluate (((-13950)/525)/(-186))/(2/(-84)). -6 Evaluate 133/(-121296)*-76*-100. -25/3 (2847/6)/(2353/362) 73 What is (14/21)/((100/1020)/(15/(-6)))? -17 Evaluate (507/(-9295))/(36*2/44). -1/30 Calculate (-115)/(55775/(-3977))*(-1)/(-1). 41/5 What is (-20*7/(-35))/(5/(105/(-14)))? -6 Calculate (((-144)/1880)/(-9))/((-25)/(625/(-5))). 2/47 9/(-12)*-2*2642/(-455745)*-2 2/115 Calculate 3/(-11)*967736/(-28278). 28/3 What is (2/8*-37)/(45/((-7560)/42))? 37 -6*(-19)/(171/(-6))*25/8550 -2/171 What is (-11*(-2)/(-90))/((-116)/((-93960)/(-162)))? 11/9 What is the value of (-512655)/(-2151)*9/(-33)? -65 Calculate (-1068)/2136*(9/(-42))/(-1). -3/28 What is the value of ((-105)/140*(-78)/(-9)*-4)/((-12)/18)? -39 What is the value of ((-22)/(-110))/((-799)/680)*(-1)/(-12)? -2/141 What is the value of (46/14)/(((-45)/42)/(-15))? 46 Evaluate ((-111)/(-6290)*-17)/(30/16). -4/25 Evaluate ((-253)/759*3/(-2)*1)/(21/18). 3/7 What is the value of ((-3)/(-6))/(-22*1/6)*688/(-344)? 3/11 Calculate ((-82)/((-820)/(-475)))/(15/(-12)). 38 (2/12)/((8/96)/(80/(-64))) -5/2 What is (24/(-8))/(((1974/(-235))/21)/((-6)/5))? -9 Calculate -2*((41/369)/((-1)/9))/(4/308). 154 Calculate 72*((-4209)/(-488))/(-23). -27 Evaluate ((-165)/44)/(100/720*-333). 3/37 Evaluate -6*(-50)/(-120)*308/70. -11 Evaluate -1*((-6)/(-8))/1*4145152/48576. -64 Calculate (5/(-9))/((-74400)/4464). 1/30 ((-2288)/110)/((-9776)/45120) 96 Calculate (-18)/9*3*(-247)/(-26). -57 What is the value of -3*64/(-9)*30/35*(-182)/104? -32 Evaluate 1*(-3)/4*48/(-126)*272904/68226. 8/7 -19*(3312/(-4560))/(-69) -1/5 Calculate (2*2)/(924932/(-2927)). -1/79 What is the value of (-4901)/4147*2*2*(-33)/6? 26 Calculate (16*(592/(-96))/(-37))/(12/27). 6 What is the value of 1/(-2)*(-420)/280*-3*(-4)/(-2)? -9/2 1/2*((-15)/12)/(1925/2640) -6/7 What is (-280)/660*(-4752)/4536? 4/9 Calculate 21*((-130)/(-13))/(42/(-49)*7). -35 Evaluate (258/(-12814))/((20/30)/(4/(-9))). 2/149 What is -10*((-15)/(-25)*89/(-89))/(4/10)? 15 2/14*((-14)/22)/(988/2717)*-92 23 What is the value of -6*1/(-2)*42/(22680/(-1044))*-5? 29 What is 162/6102*82/123? 2/113 What is the value of ((-514)/(-514))/(-1*15*1*5)? -1/75 Evaluate (-21)/(-12)*240/(-2940)*-238. 34 Calculate 16/(8736/(-14))*2. -2/39 What is the value of (((-1)/2)/((-15)/(-3825)*10))/((-32)/128)? 51 What is ((-4)/(-6))/(6/24*-1*(-872)/12426)? 38 ((-2)/8)/(-8*(-3)/6*(-1435)/1640) 1/14 What is the value of (-3080)/(98/7)*31/124? -55 Calculate (((-32)/(-42))/(-4))/(3486/57519). -22/7 Calculate 21/42*48/(-40)*25*(-12)/16. 45/4 What is 1*((-4)/35)/(-4)*(-28910)/34692? -1/42 What is the value of ((-12)/(-3))/(213/(656040/160))? 77 What is (320/1400)/((-29)/203)? -8/5 Calculate ((52/(-182))/(6/24))/((-5)/((-770)/(-4))). 44 Calculate ((-9*28/(-3150))/(106/1113))/((-9)/(-5)). 7/15 What is the value of (-6300)/14*((-15)/50)/((-24)/(-16))? 90 Calculate 39/104*(-4160)/195. -8 What is ((-11)/3)/((-328394)/(-7788))? -2/23 Calculate (-13)/((-39)/10)*54/2010*(-68)/204. -2/67 Evaluate (825/550)/(10*6/72). 9/5 What is the value of ((-713)/2139)/((-2)/(-438))? -73 Evaluate 50/(3300/429)*16/(-36). -26/9 ((-6)/50)/(3873/(-129100)) 4 What is the value of (-3)/(-2)*(4/(-22))/((-75336)/(-7568))? -2/73 What is ((-1735)/(-1388))/(-3*30/(-2952))? 41 Evaluate (13/10*-4)/(((-879)/3516)/(15/4)). 78 (340/238)/((10/126)/(55/(-66))) -15 Evaluate 15*(-285)/2375*-40. 72 What is ((-38)/(-4))/((-23788)/(-30048))? 12 What is the value of (((-25350)/225)/(-169))/(((-28)/(-6))/1)? 1/7 What is the value of 150/(-4)*(-41592)/(-467910)? -10/3 (((-3)/(-3))/3)/(376/(-13536)) -12 What is 1/(-12)*(-5)/(-2)*68024/15460? -11/12 Calculate (-2*7/455)/(((-133)/798)/(10/(-6))). -4/13 What is the value of (-666)/(-1554)*147/7*(34/(-3))/2? -51 What is (-2)/(((-13)/52)/((-312)/(-48)))? 52 (7/(-6))/((33/(-792)*30)/(10/4)) 7/3 What is (394/2167)/(1/(-198))? -36 ((3/3*9/(-9))/(60/2040))/1 -34 What is the value of ((-6)/45)/((-9)/(-81))*(-8)/((-80)/175)? -21 ((-63)/(-2))/(-63)*-14*18/(-3) -42 What is ((-155)/((-55800)/240))/((-3)/((-1422)/4))? 79 (-1)/((33/(-44))/((-21)/238)) -2/17 Calculate 6/5*140/2604. 2/31 Calculate (-1)/(((-990)/660)/(305/20*-6)). -61 Calculate (120/290)/(245/(-1421)). -12/5 ((-18)/14)/((-6)/48*8) 9/7 Calculate 20*55/((-17875)/780). -48 Calculate (4452/12243)/((-114)/198*-6). 2/19 Evaluate (-7)/266*60/(-9)*(-49)/((-2450)/(-30)). -2/19 (-10)/32*((-1110)/25)/37 3/8 Calculate (-14)/8*36/56*-8. 9 What is ((-22680)/(-54))/84*2/20*-43*2? -43 What is ((-51)/(-4))/(610/(-488)*(-6)/(-30))? -51 (46*-1)/(((-1)/((-42)/(-7)))/((-6)/36)) -46 What is the value of ((-4)/(-16))/((21045/244)/69)? 1/5 Evaluate ((-2135)/(-2989))/((-8)/(-14))*28. 35 Calculate (21/(-28))/(33/(1584/156)). -3/13 Calculate (736/(-1840))/(((-2)/45)/((-6)/(-288)*-4)). -3/4 What is the value of (-795)/(-106)*(-6)/21*(-4)/(-10)? -6/7 Calculate (127/(414528/306))/(10/8*9/45). 3/8 What is the value of (-6)/(-139)*92/19320*-70? -2/139 Evaluate (-24*(-15)/42120)/((-5)/30). -2/39 (-38)/10*68*(-14)/952 19/5 What is (1/(-22))/((64/384)/((-1)/(-3)))? -1/11 (((-35)/189)/(8/12))/((-615)/3444) 14/9 What is 6*187/612*30/(-22)? -5/2 Evaluate (-2322)/129*(-9)/(567/(-301)). -86 Calculate 1/((-1)/(-6)*-3)*58/520608*66. -1/68 Calculate 27/((5/(-175)*-5)/((520/(-84))/(-26))). 45 Calculate ((-1)/92)/((1540/528)/35). -3/23 ((56/(-16))/(-7))/(-2)*(-40)/1800*-140 -7/9 What is the value of ((2835/(-14))/81)/(5/16)*(-6)/(-8)? -6 (-312*24/1344)/1 -39/7 What is ((-2)/(-606))/((-191)/(-1146))? 2/101 ((-2340)/(-3630))/39*-22 -4/11 What is the value of ((2060/240)/(-103))/(-3*(4/60)/(-1))? -5/12 Evaluate ((-2)/66)/(((-242905)/606)/(-185)). -2/143 What is 1/(76/((-38760)/(-85))*(-1)/(129/9))? -86 (((-2834)/11336)/(35/4))/(2/(-4)*5) 2/175 What is the value of (2912/(-784))/((-4563)/1365)? 10/9 What is the value of (1/(-1))/((99/(-2880)*2)/((-43)/(-215)))? 32/11 Calculate 2/(-7*(-2)/(-56))*4/(-1312). 1/41 ((-131)/(-1572)*48/(-105))/((-54)/21) 2/135 What is the value of ((-10992)/(-140148))/((4/3)/(-4))? -4/17 Evaluate ((-401)/((-50927)/35052))/(-3). -92 ((-1155)/(-825)*(-6)/(-70))/(126/30)*-1 -1/35 What is (((-104)/780)/((-12)/(-126)))/(18/10)? -7/9 (-1254)/(-165)*1995/(-266) -57 What is the value of (-4)/(60/3)*(-390)/(-12)*(-168)/21? 52 Evaluate 2/(-28)*((-5880)/80)/(-21). -1/4 2/36*(-3)/(-18)*((-495)/(-11))/15 1/36 What is the value of ((-3)/(180/16))/((-3512)/83410)? 19/3 Calculate 272/42*34314/3268. 68 What is ((-9)/(-90))/(4/(12/15)*126/140)? 1/45 Calculate (5/(-2)*(-680)/(-2975))/(-2*3/294). 28 What is the value of (-928)/(-812)*(-70)/4040? -2/101 Calculate (-7056)/(-224)*1054/(-651). -51 What is (5/((-225)/(-170)))/(964/2169)*(-8)/14? -34/7 (((-21)/4)/3*(-4884)/(-154))/((-9)/(-6)) -37 What is the value of 95/(-399)*319662/(-1290)? 59 (-1)/(54/(-15))*15867/615*2*6 86 What is the value of (-131)/(-4)*162*322/13041? 131 Evaluate 2/((12/(-10))/(117725/(-8310)*18/(-100))). -17/4 Calculate -9*(-189)/(-729)*-1*(-4)/28. -1/3 100/30*6/(-12)*(-11)/((-2750)/45) -3/10 (7/(-3))/(12/312)*(-204)/119 104 (-41890)/(-238773)*9*(-2)/(-10) 6/19 What is 2/38*-7*(-13)/(-273)*-9? 3/19 Calculate 82/8*((-32)/60*(-1050)/(-140))/1. -41 What is 0/(((-170)/6)/((-4215)/(-2529)))? 0 Evaluate 8*(-36)/(7488/1612). -62 What is the value of ((-63)/(12663/335))/((-10)/(-228))? -38 What is the value of (18/12*24/1683)/(860/(-4730))? -2/17 Calculate ((-408)/(-120)*(-10)/85)/(6/3*1). -1/5 What is the value of (-63)/2*(89271/8424)/(-763)? 7/16 What is ((-4760)/(-13600))/((-28)/5)? -1/16 Calculate (((-309540)/55)/84)/(3/((-3)/1)). 67 Evaluate (803/(-99))/((4/(-9))/2)*260/(-130). -73 Evaluate ((-12104)/(-1836))/(6/(-81)). -89 Evaluate 714/(-1190)*265/3. -53 ((-90)/(-25))/(-3)*-670*23/276 67 What is (-150)/225*((-720)/1648)/(-15)? -2/103 What is ((15/(-9))/(690/(-138)))/((6/2)/(-387))? -43 (-123)/((-12546)/(-2550))*1*-2 50 What is ((-12)/(-960))/((3/5)/(5/((-20)/(-6))))? 1/32 54/(-486)*3078/(-19) 18 Evaluate (-416)/10*110/(-176). 26 Evaluate -1*55*((-144)/40)/9*365/365. 22 Calculate (80/28)/(2/((5985/(-60))/19*4)). -30 What is (5/(-8))/(15547/(-124376))? 5 Calculate ((-102)/(-612))/(4/(-392))*18/21. -14 Calculate (-6)/(-12)*((-48)/(-8)
{ "pile_set_name": "DM Mathematics" }
re the prime factors of r? 3 Suppose 5*o + 214 = 2*x, -o + 591 = 5*x + 83. What are the prime factors of x? 2, 3, 17 Suppose 0 = -3*t + 112 - 7. Suppose -k + 4 = -5*h + t, -h - k = -11. Let q(j) = -j**2 + 8*j + 6. What are the prime factors of q(h)? 13 Suppose 0 = 5*x + 5*a - 655, 5*x + 6*a - 640 = 4*a. What are the prime factors of x? 2, 3, 7 Let g(j) = -3*j**3 + 3. What are the prime factors of g(-2)? 3 Let f(i) = i**2 - 8*i + 10. Let b be f(7). Suppose -2*t - 15 = b. What are the prime factors of (-2)/t - 170/(-45)? 2 Let l = 0 - -20. Let z(g) = -g**2 - 10*g - 6. Let r be z(-8). Let t = l - r. List the prime factors of t. 2, 5 Let m(y) = 3*y**2 - 22*y + 18. List the prime factors of m(8). 2, 17 What are the prime factors of (-6)/10 - 1936/(-10)? 193 Let m be ((-1)/2)/((-3)/12). Suppose -m*p = 2*p - 16. Let x = p - 0. List the prime factors of x. 2 Let h(r) be the second derivative of r**4/12 + r**3/6 - 2*r. What are the prime factors of h(-2)? 2 Let k(d) = 10*d - 1. Let z be k(7). Suppose -z - 91 = -4*g. List the prime factors of g. 2, 5 Let w be (10/4)/((-7)/14). Let j(b) be the second derivative of -b**3/3 + 2*b**2 - b. What are the prime factors of j(w)? 2, 7 Let l be ((-23)/(-2))/(14/(-28)). Let c = l - -47. List the prime factors of c. 2, 3 Suppose -2*f - 42 = -5*f. Suppose -f = 2*a - 4*a. List the prime factors of a. 7 Suppose 5*d - 2*s + 6 = 0, 2*s = -4*d + 2 + 4. Let i(x) be the third derivative of -x**5/60 + x**4/24 + 2*x**3 + 4*x**2. List the prime factors of i(d). 2, 3 Let a = 77 + 27. List the prime factors of 1*a/(-12)*-3. 2, 13 Let m be 2/(-5) - (-2)/5. Suppose m = -2*h - 3 + 9. Suppose -h*n + 28 = n. What are the prime factors of n? 7 Let s(o) = -o**3 + 6*o**2 - 3*o - 3. Let j be s(5). Suppose 2 = y - h, -4*y + 4 = -h - j. Let k = 8 + y. List the prime factors of k. 11 Let x(b) = 0 - b**2 - b + 3 + 0*b**2 + 16. Suppose 0 = 5*q - 10, -3*q - 2*q + 10 = -3*w. What are the prime factors of x(w)? 19 Let n(l) = l**3 - l**2 - 2*l + 7. List the prime factors of n(3). 19 Suppose -2*y + 3*y = -2*k + 13, 4*k = -8. List the prime factors of y. 17 Suppose -2*t + 49 = -71. List the prime factors of t. 2, 3, 5 Suppose -3*p + 23 = 5*y, 4 = 3*y + 1. Suppose -n + p = -9. Suppose 3*o + v - 2*v = 12, 0 = 3*o - 2*v - n. What are the prime factors of o? 3 Suppose 0 = 3*u + 41 - 425. List the prime factors of u. 2 Let p = 604 - 168. List the prime factors of p. 2, 109 Let p(s) = -s**3 + 8*s**2 + 6*s - 3. Let r be p(8). Let k = 92 - r. Suppose 4*w - k + 3 = 0. What are the prime factors of w? 11 Let l = 11 - 3. List the prime factors of l. 2 List the prime factors of -314*(-2)/8*2. 157 Let k = -2 - -5. Suppose k = s - 2. What are the prime factors of s? 5 Suppose 20 = 3*a + a + 4*t, -5*a + 25 = t. Suppose 0 = -a*r + 3*r + 74. What are the prime factors of r? 37 Let f(o) = -2*o + 3. What are the prime factors of f(-4)? 11 Suppose 3*q - 6 = -0*q. Suppose q*c = 4, -34 = -4*x - 5*c + 24. What are the prime factors of x? 2, 3 Suppose -3*a - 2*l = 2*a - 10, 2*a + 3*l = -7. What are the prime factors of 24/16 + 86/a? 23 Let o be (-6)/4 - (-9)/6. Suppose o = -3*f + v + 58, -4*v = -4*f + f + 43. What are the prime factors of f? 3, 7 List the prime factors of 5/((-10)/(-8)) - -4. 2 Suppose 5*h = 2*r - 6*r + 8, -4 = h. What are the prime factors of r? 7 Suppose 4*r = -5*a + 197, 3*a + 5*r - 163 = -a. What are the prime factors of a? 37 Suppose 3*x = x + 30. Let w be (-112)/(-10) - 3/x. Let o = 20 - w. List the prime factors of o. 3 Let l(a) = a**2 - 5*a - 1. Let i be l(4). Let p(c) be the first derivative of -c**3/3 - 7*c**2/2 - 5*c - 1. List the prime factors of p(i). 5 Let u = -38 - -74. Suppose 8 = 4*a - u. Suppose 0 = -l + a. List the prime factors of l. 11 Let l(o) = 2*o**2 - 11*o - 7. Let m(s) = -3*s**2 + 11*s + 6. Let k(g) = 4*l(g) + 3*m(g). List the prime factors of k(-8). 2, 7 Let b(h) = -4*h**3 + 11*h**2 + 11*h - 11. Let v(c) = 5*c**3 - 12*c**2 - 11*c + 11. Let i(y) = 4*b(y) + 3*v(y). What are the prime factors of i(9)? 7 Suppose -3*k + 45 = -72. List the prime factors of k. 3, 13 Suppose -13*j + 17*j - 676 = 0. What are the prime factors of j? 13 Let d(c) = -4*c + 7. Let j(y) = y**3 - 5*y**2 - 6*y - 5. Let i be j(6). List the prime factors of d(i). 3 Suppose 4*q - 20 = -n, -5 = 5*q - 6*q + 3*n. Suppose -q*o + 4 + 1 = 0. List the prime factors of (24 - 3) + 2 - o. 2, 11 Let s(y) = 2*y**2 + 3*y - 3. Let g be s(-4). Let v = g + -6. What are the prime factors of v? 11 Let t = -1 - -4. Suppose 4*o + t*f = -44, 0*o = -o + 4*f + 8. What are the prime factors of (16/10)/(o/(-60))? 2, 3 Suppose 0*w = -3*w + 12. Suppose 4*z + z = 5*c - 55, 2*c - w*z - 30 = 0. What are the prime factors of c? 7 Suppose -s - 4*s = -3*n - 265, 0 = -s + n + 55. List the prime factors of s. 2, 5 List the prime factors of (0 + -15)*9/(-9). 3, 5 Suppose 4*g = -2*a + 1142, 294 = -3*g - 3*a + 1158. What are the prime factors of g? 283 Suppose -3*j + 4*i + 14 = -4, 0 = i. Suppose -5*t = 2*p - 19, -5*p = 2*t - 4*t - 4. Suppose p = -2*s + j. What are the prime factors of s? 2 Let t(g) = 7*g + 4. Let x be t(4). Suppose -5*v = -v - x. List the prime factors of v. 2 Let w be -47 + 2 + -5 - -4. Let o(l) = -10*l**2 + l + 1. Let s be o(-1). What are the prime factors of w/(-14) - s/(-35)? 3 Let s = -39 + 28. Let w = -6 - s. What are the prime factors of w? 5 Suppose -2*v - 2*d + 516 = 2*v, 0 = 4*v + 4*d - 508. List the prime factors of v. 131 Let s(n) = -n**3 + 10*n**2 - 8*n + 8. What are the prime factors of s(9)? 17 Let p be (1/2)/(2/28). Let t = -4 - -2. Let l = p - t. What are the prime factors of l? 3 Let n(b) be the third derivative of -b**5/60 + b**4/12 + b**3/3 + 6*b**2. What are the prime factors of n(0)? 2 Suppose 0 = -4*u + 39 + 205. Let p = u + -10. List the prime factors of p. 3, 17 What are the prime factors of (2 - -138) + 5 - 1? 2, 3 Let r be (-7 - 2 - 2)*-1. Let d = -17 + 9. Let o = d + r. List the prime factors of o. 3 Let h = -267 + 427. List the prime factors of h. 2, 5 Let v = 9 - -5. Suppose 2*u - 40 + v = 0. List the prime factors of u. 13 Let n(b) be the second derivative of b**3/3 - 5*b**2/2 - 4*b. What are the prime factors of n(8)? 11 Suppose 0 = -5*j - 5*d + 70, 4*j + 7*d - 52 = 4*d. List the prime factors of 1/((-8)/j)*-8. 2, 5 Suppose -3*t - 5*r + 80 = -172, 3*r = 0. List the prime factors of t. 2, 3, 7 Suppose -3*j = -7*j. Let o be -2 - ((-17 - -2) + j). Let w = o + -3. List the prime factors of w. 2, 5 Suppose -6*z + 2694 - 642 = 0. What are the prime factors of z? 2, 3, 19 Suppose -12*c + 980 = -5*c. List the prime factors of c. 2, 5, 7 Suppose 4 = -0*j + 4*j. Let k be (-195)/(-10) - j/(-2). Let n = k - 6. What are the prime factors of n? 2, 7 Let f(c) = -c**2 + 14*c - 2. List the prime factors of f(13). 11 Let d(j) = -10*j - 27. List the prime factors of d(-8). 53 Suppose 2*d + 369 = -5*c - 0*d, 240 = -3*c + 5*d. What are the prime factors of ((-8)/(-10))/((-6)/c)? 2, 5 Suppose -a + 3*p - 36 = 4*a, -4*a - 14 = 5*p. What are the prime factors of (2/4)/(a/(-216))? 2, 3 Let l(g) = -g**3 + 2*g**2 + g. Suppose 0*v - 3*v = -6. List the prime factors of l(v). 2 Let s(x) = x**2 - 11*x - 4. Let n be s(12). Let o = n + -9. List the prime factors of 3*(-1 - -2) - o. 2 Let c = 12 - 4. Let l = c + -20. What are the prime factors of ((-3)/6)/(1/l)? 2, 3 Suppose 2520 = 3*h + 18*h. What are the prime factors of h? 2, 3, 5 Let u be (16/88 - 97/(-11)) + -4. Let q(n) = -72*n**3 + n**2 + n. Let y be q(-1). Suppose 0 = u*s - 23 - y. What are the prime factors of s? 19 Suppose 5*b = 4*b + 3. Suppose -5*d = -12 + 32, -2*j = -5*d - 48. Suppose 0 = g - q - j, 5*q - b = 3*g - 55. What are the prime factors of g? 3 Let q(f) = -f**3 + 4*f**2 - 2*f - 4. Let y be q(4). List the prime factors of (-34)/(-3) - y/18. 2, 3 Let p(a) = a**3 + 3*a**2 - 2*a - 5. Let w be p(-4). Let v = w + 1. Let z = -3 - v. What are the prime factors of z? 3 Suppose -2*y - 18 = -5*y. Let j(r) = -r**3 + 6*r**2 + r + 6. What are the prime factors of j(y)? 2, 3 Let n(j) = j**2 + 4 - 3*j - 2*j + 2. Let a be n(5). Suppose -a*o + 75 = -o. What are the prime factors of o? 3, 5 Let w = 47 - 17. What are the prime factors of w? 2, 3, 5 Suppose -4*y = 5*d - 266, -3*y - d + 130 = -y. What are the prime factors of y? 2 L
{ "pile_set_name": "DM Mathematics" }
is the closest to -12? (a) 3/4 (b) -1/6 (c) x (d) 5 c Let k = -335 - -335.4. Which is the closest to -0.4? (a) k (b) 0 (c) 1/9 b Let r be (1/9)/((-16)/(-72)). Let k = -6 - -40/7. Which is the closest to -24? (a) r (b) -0.2 (c) k c Let o be (9/4 - 1) + -1. Let l = -23.1 + 23.5. Let c = 143/2 - 70. What is the nearest to 3 in o, l, c? c Let w = -969 + 1939/2. Which is the closest to 1? (a) w (b) -6 (c) 1/5 a Let m = 300.5 + -300. Which is the closest to 8/5? (a) m (b) 2/5 (c) 2/9 (d) -4 a Let y = -0.0681 + -2.9319. Which is the closest to 2/5? (a) 0 (b) 2.9 (c) 1 (d) y a Let u be (-17)/(-5) + (10 - 195/15). What is the nearest to -0.2 in 0.5, u, 3, -3/2? u Let s = 326 - 328. Let u = -6.2 + 2.2. What is the closest to 2 in u, 0.02, s? 0.02 Let l be (-9)/27*0/1. Suppose z - 5 = -l*w - w, -2*z + 11 = 3*w. Let v = -9 + 13. What is the closest to w in 2/21, v, 2/7? 2/7 Suppose 11 + 21 = -32*o. What is the nearest to o in 2/7, 6/7, -0.5? -0.5 Let d be (-20 - -9) + 13 + -6*1. What is the closest to -27 in d, 0.1, -3/2? d Let w be 44/(-140) - (-9)/15. Let i = -11 + 11.4. Let f = -1 - -1.1. Which is the nearest to i? (a) f (b) -0.4 (c) w c Let v(m) = m**2. Suppose 0 = 6*g - 5*g. Let h be v(g). Let n = 404 + -403. What is the closest to n in -4, h, 3/5? 3/5 Let y = -198 + 88.6. Let j = -94 - y. Let u = 15 - j. Which is the closest to -2/3? (a) -3 (b) 2/13 (c) u c Let y be 2*-1*(-8 + 9). Which is the closest to -0.2? (a) 4 (b) 35 (c) y c Let h be (-110)/(-15) + (-4)/(-6). Let t be (2 + h/(-2))/(-3). Let k = -1798 - -1798.2. Which is the nearest to 1/3? (a) t (b) k (c) -1/5 b Let s = 1.9 + -2. Let n = -15 - -86. Let h = -66 + n. What is the nearest to 1 in s, h, -4? s Suppose -5*j + 19 = 3*x, -3*j + 4*j + 3*x + 1 = 0. Let l = -221 - -221. Let f = -144 - -1006/7. What is the nearest to l in f, j, -2? f Let k(g) = 12*g**2 + 132*g + 3. Let l be k(-11). Which is the closest to 0.1? (a) l (b) 0.1 (c) -2 (d) -0.4 b Let m = 0.8876 - -0.1124. Let k = 8/17 + -57/85. What is the nearest to m in k, -2/13, 1/3? 1/3 Let m = 2029/5 - 406. Suppose 0 = -2*d + 3*d - 4. Suppose 3 + 1 = d*f. Which is the nearest to 1/4? (a) 0 (b) m (c) f a Let f = 0.57 + -21.57. Let o = 21.373 - 0.173. Let b = o + f. What is the closest to 2/9 in b, -1, -4/5? b Let c be (4 - (-18)/(-4))*-8. Let y = c + -22/5. What is the nearest to 1 in -0.3, y, 0.3? 0.3 Let f = 55.2 - 49.2. What is the closest to -1 in -1/3, 1/5, f? -1/3 Let t = 13/3 - 5. What is the closest to 0.2 in t, 1/3, 3? 1/3 Let k = -177.1 + 177. What is the closest to 1/2 in -1/12, k, -5? -1/12 Let q = 11.126 - 0.082. Let w = q + -0.044. Which is the closest to w? (a) -2 (b) -3 (c) 0.1 c Let m = 44.7 + 7.3. Let c = -52.1 + m. What is the nearest to 1 in 1, c, 2/27? 1 Let k = -0.16 + 0.36. Let t = -47 - 13. Let i be 6/15 - (-14)/t. Which is the nearest to 2? (a) 1/3 (b) k (c) i a Let u = -84.7 - -85.1. Let g = -17 + 50/3. Which is the nearest to -1? (a) g (b) u (c) 0.5 a Let k be (-4)/(176/36) - (-5 - -4). What is the closest to -2 in -1/3, k, 78, 2/5? -1/3 Let g = 7/10 - 1/2. Let y = 0.01885 + -0.11885. Which is the closest to 0.2? (a) g (b) -1.4 (c) y a Let a be 13/4 - (-10)/(-40). Let h = a - -2. Suppose 18 = h*z - 2. What is the nearest to -0.3 in z, -0.1, -2? -0.1 Let n be 9/(-45) - 36/(-5). Let p(k) = -k**3 + 6*k**2 + 8*k - 5. Let d be p(n). Which is the nearest to d? (a) 2 (b) 0 (c) 3 a Suppose -2*v + 4 = 2*z, -2*v = -3*z - 2 - 2. Suppose z*u - 5*r = u + 16, 0 = -3*u - 5*r - 18. What is the closest to 1 in u, 1/9, -5? 1/9 Let k = 0.05 + 0.45. Let q(o) = o**3 - 3*o + 1. Let d be q(2). Which is the nearest to k? (a) -0.3 (b) -1/6 (c) d b Let w = 0.44 - 0.04. Let i = 0.2699 + 0.0301. What is the nearest to 1/8 in i, 1/2, w? i Let l = -5.954 + -0.046. Which is the nearest to 2/13? (a) 5 (b) -0.3 (c) l b Let o = 4.09 - 0.09. Suppose -2*h = -12*h + 10. Let j = -9 + 4. What is the closest to h in o, j, -1/3? -1/3 Let z = 0.7 + -2.5. Which is the closest to -2? (a) -0.4 (b) 4 (c) -1/4 (d) z d Let n be ((-20)/(-15))/(114/(-62) + 2). Let m = -26/3 + n. Which is the nearest to 2/7? (a) -2/7 (b) m (c) -0.5 a Let q = -354.0371 + 0.0371. Let j = q + 338.9. Let y = 16 + j. Which is the nearest to -1? (a) -3 (b) y (c) -3/8 c Suppose f - 10 = -6. Which is the closest to 0? (a) 5/2 (b) f (c) -7 a Let v = 0.187 + 1.813. Which is the nearest to 0? (a) v (b) -0.7 (c) -1 b Let n be 12/(-10)*440/132. Which is the nearest to -2/9? (a) -0.4 (b) 0.3 (c) 0.4 (d) n a Let l = 6.2 - 6. Let t = -11 - -11. What is the closest to t in l, -3, -2? l Let r = -1.5 - -1.9. What is the closest to -2/7 in r, -6/7, 2? -6/7 Suppose 3*p - 5*p - 4*s = -4, 2*s - 6 = 0. Let w be 13/39*p/6. Which is the nearest to -2? (a) w (b) 2 (c) -1/3 c Let o = 2 - -2. Let y = 121 + -76. Let i = -45.1 + y. Which is the closest to i? (a) 5/4 (b) o (c) -0.4 c Let v = 1179 - 1183. What is the closest to 5 in 1/5, v, 0.5? 0.5 Let o = 1.0904 + -0.0904. What is the nearest to -3 in 4, o, 16, -3? -3 Let f = 8.1 - 8. Let k = 0.4 - -3.6. What is the nearest to f in k, 0.5, -24? 0.5 Let r = -293.76 + 289. Let j = -0.76 - r. What is the nearest to 1 in 0.2, j, -1/8? 0.2 Let x = 7/45 + 4/9. What is the nearest to 0.5 in 0, 4, x? x Let t = -1461 + 3103/2. Let j = t + -90. Which is the closest to 0? (a) 0.04 (b) -0.2 (c) j a Let w(d) = d + 4. Let v be w(-5). Suppose 2*i - 8 = -0*i. Let t = i + -2. What is the closest to t in v, -0.1, 0.3? 0.3 Let f = -1736 - -12149/7. What is the nearest to 0.2 in 2/13, f, 0.2, -1/2? 0.2 Let x = 32 - 30. Suppose -3 - 1 = c, -2*c - 8 = -3*r. What is the nearest to r in -1, x, -2/7? -2/7 Suppose 14 = -12*a - 34. Let m be (-2)/(-10) + 6/(-5). What is the nearest to a in 1, -0.3, m? m Let y = 8428/11 - 766. What is the closest to -0.01 in y, -5/3, 1/2? y Let x(t) = -t**3 + 5*t**2 + 4*t - 8. Let u be x(5). Let s be 2/(-12) - (u/9 - 3). Which is the nearest to 1/4? (a) 4 (b) 5 (c) s c Let m be 0 + 1 - 30/20. Let o = -2 - -1.8. Let g be ((-14)/(-147))/((-2)/(-14)). Which is the closest to o? (a) 3 (b) m (c) g b Suppose 2*b + 8 = 4*j, 1 = 3*j + b - 0*b. What is the closest to j in -3/5, 1, 3/7? 1 Let j be 0 - 1/(-4) - (-72)/(-48). Let q = -1/12 + j. Which is the closest to 0? (a) -3 (b) 0.1 (c) q b Let a = -70 - -72. What is the closest to -0.2 in a, -4, 10/3? a Let z be 3/9 + 98/(-735). Let h be -1*-2*(2 - 3). Which is the closest to z? (a) 3 (b) 1 (c) h b Let v be (-84)/24*2/56*6. What is the nearest to v in 0.2, 1, 4? 0.2 Suppose -36*a + 189 = -39*a. Let z be ((-2)/3)/((a/(-7))/9). What is the nearest to 0 in 3/5, 5/4, z? 3/5 Let w = -1.58 - -0.58. Let t = 257 + -259. Which is the closest to t? (a) -2 (b) -3/7 (c) w a Let z(x) = 2*x**3 - x**2 + 2*x + 4. Let p be z(0). Suppose -m = -0*m + 303. Let h = 7577/25 + m. Which is the nearest to 0.1? (a) h (b) 2/11 (c) p a Suppose -3*m + 15 = 9. Which is the closest to -3.8? (a) 0.3 (b) m (c) -1 c Let k = -19 - -23. Let w = -2.5 + 2.8. What is the closest to 0 in w, -6, k? w Let r = -2.6 + 3.6. Let o = 11/3 - 25/6. Which is the closest to -1? (a) o (b) -0.4 (c) r a Let m = 0.3 + -3.5. Let t = m + 3.6. What is the closest to -1 in 1/5, t, -3? 1/5 Let j = -108.4 + 109.4. Which is the closest to j? (a) 0.05 (b) 3/8 (c) 2 (d) 1 d Let s = -0.095 - 7.805. Let o = s - -43.9. Let k = o - 36.1. Which is the nearest to k? (a) 5/3 (b) -3 (c) -5/2 a Let c = 5.6 + -6.6. What is the closest to 0.1 in 0.4, -0.1, c? -0.1 Suppose 4*q - s + 11 = 0, q + q + 5*s = 11. Let c be ((-142)/7 - 14/(-49))*2. Let j = c + 42. What is the nearest to j in -0.1, q, 1? 1 Suppose x = 0, 4*z + 3*x + 36 = 7*z. Let p be (-17)/(-30) + z/(-30). What is the nearest to 1 in 2/3, p, 2? 2/3 Let w = 12.8 - 13. Let u = 1.1 + -0.8. What is the nearest to -0.2 in w, -2/15, u? w Let n = 0.3 + -0.2. Let d be (-6 + (-98)/(-3))/(2/9). Let m = d + -121. Which is the closest to 1? (a) n (b) 1/6 (c) m b Suppose 4*f = -6 - 10. Let t be (-2)/f*(-7)/(-14). What is the closest to t in 3, -6, -2/11? -2/11 Let x be (-16)/(-6)*(-165)/20. Let k = -131/6 - x. Let y = 26/15 + -4/3. What is the nearest to y in 0.5, k, -0.1? 0.5 Let c = -2.9 + -0.1. Let t = 605 - 605
{ "pile_set_name": "DM Mathematics" }
ven dps? 0.0000003 Suppose 74*q + 4200000 = 76*q. Suppose 11*v = 6*v + q. What is v rounded to the nearest 100000? 400000 Suppose -9*q + 48600 = -q. Suppose 2*c + 3525 + q = 0. Round c to the nearest one thousand. -5000 Let n(w) be the first derivative of w**4/4 - 5*w**3/3 - 3*w**2 + 6*w - 3. Let s be n(6). Suppose 2*b - 4*b + s = 0. What is b rounded to the nearest ten? 0 Let h = -920 - -919.99672. What is h rounded to 4 decimal places? -0.0033 Let b = -406.336 - -418. Let q = -13.7572 + b. Let c = q - -2.1. What is c rounded to 3 dps? 0.007 Let v = 582413611865 - 582414140792.900009. Let x = 528925 + v. Let f = -2.9 - x. Round f to five dps. 0.00001 Let w = -745 + 744.96002. What is w rounded to 3 decimal places? -0.04 Suppose 11*y = -4*x + 6*y - 73176805, 0 = -4*x - 3*y - 73176795. Let l = x + 12704195. Round l to the nearest 1000000. -6000000 Let g = 344 - 1721. Let d be (3 - g)*(-12)/(-8). Suppose -d = 2*w - 0*w - 5*y, w + 2*y + 1026 = 0. What is w rounded to the nearest 100? -1000 Let y = 35.967 + -36. Let q = y + 0.032933. What is q rounded to 5 decimal places? -0.00007 Let l(s) = -2 - s**2 - 3*s**2 + s**2 + 0*s**2 + 3*s**3. Let j be (4 - 1)/(1 - 0). Let z be l(j). Round z to the nearest ten. 50 Let w(r) = -r**3 - 8*r**2 + 7*r + 21. Let j be w(-9). Suppose -3*d + m - 166 = 0, -m + j = -2*d - 71. What is d rounded to the nearest 10? -60 Let g(z) = 74176*z**3 - 5*z**2 - 14*z. Let w be g(-2). What is w rounded to the nearest one hundred thousand? -600000 Let w = 0.265 + -0.4238. What is w rounded to two dps? -0.16 Let w = -1.5437218 - 3.3562785. Let j = w + 4.9. Round j to 6 decimal places. 0 Let o = 23 + -16. Suppose -o*q - 365 = 153. Round q to the nearest ten. -70 Let q = 41425 + -17805. Round q to the nearest 100. 23600 Let x = -22 - -37. Let p = -8 + x. Let n = -6.25 + p. What is n rounded to one dp? 0.8 Let t(a) be the first derivative of 6727*a**2/2 - 3*a + 33. Let d be t(-11). What is d rounded to the nearest 10000? -70000 Let a = 103.19 + -106. Let z = -6.6 - -3.9. Let x = z - a. Round x to two dps. 0.11 Let o be 6 + -8 + 1 + -90. Let j = o + 183. Round j to the nearest 10. 90 Let c = -390 + 376.96. Round c to one dp. -13 Let c = -126.6082 - -0.0082. What is c rounded to the nearest 10? -130 Let w = -88.8 - -13.6. Round w to the nearest 10. -80 Let q = -891.047 - -849.13. Let u = q + 0.517. What is u rounded to the nearest integer? -41 Let t = 1110.9999273 + -1111. Round t to 5 dps. -0.00007 Let g = 52.62 - -2083.38. Let i = g + -2145.954. Let v = i + 10. Round v to two decimal places. 0.05 Let j = -39 - -123. Let y = -172 + j. What is y rounded to the nearest ten? -90 Let l(j) = -1034*j**2 - 31*j - 13. Let w be l(10). Let o = w + 169623. Round o to the nearest 10000. 70000 Let y = 2045919.000019 + -2045907. Let n = y + -12. Round n to five dps. 0.00002 Let k = -6.5 + 6.336. Let p = 0.163999385 + k. Round p to 7 dps. -0.0000006 Let l = 1245716.056 - 1245648.3559427. Let q = l + -67.7. What is q rounded to 6 decimal places? 0.000057 Suppose -9*n - 567959 - 3482041 = 0. Round n to the nearest 10000. -450000 Let x = -1392 - -1392.01126. Round x to 3 decimal places. 0.011 Let d = 0.02987583 + 0.19451645. Let q = -0.08560924 - d. Let a = -0.31 - q. What is a rounded to seven dps? 0.0000015 Suppose 0*i + i = 155. Suppose -5*s + i = -30. Suppose s*x - 5 = 38*x. Round x to the nearest 10. -10 Let u(j) = -j**2 - 10*j - 6. Let y be u(-9). Let h be (y - (-1915)/(-5))/((-2)/(-2)). What is h rounded to the nearest one hundred? -400 Let q = -13167.007583 - -13167. Round q to 4 decimal places. -0.0076 Let p = -1367 - -1358.568. Round p to the nearest integer. -8 Let n = -12.042 + 12. Let t = -0.0288 - n. Round t to three decimal places. 0.013 Let d = 2.039 + -2.038646. What is d rounded to three dps? 0 Let c(d) = d**2 - 7*d + 1. Let g be c(7). Let j be g/(-9) - 36724/(-36). What is j rounded to the nearest 100? 1000 Suppose -1606*n = -1608*n - 36680. Round n to the nearest one thousand. -18000 Let c = 5.6622 - -0.1328. Let a = c + -6. Round a to two decimal places. -0.21 Let j = -6.27 - -5.6. Let r = j - -1.66. Let h = 0.07 + r. What is h rounded to 1 dp? 1.1 Let k = -6146 + 6141.051. Let m = -0.391 + k. Let c = 0.04 + m. What is c rounded to the nearest integer? -5 Let x = -155.70125 + 154.7. Let q = 55.1 + -54.1. Let o = x + q. Round o to four decimal places. -0.0013 Let p(h) = 9*h**2 + 7*h. Let w(c) = c**3 + 4*c**2 - 16*c - 14. Let x be w(-6). Let l be p(x). Round l to the nearest one hundred. 1000 Let w = -16003 - -6988. Round w to the nearest 1000. -9000 Let h = -24095.981 - -24086. Let w = -2.2 - 7.8. Let s = w - h. Round s to 2 decimal places. -0.02 Let l = 0.0933 + 0.6057. What is l rounded to 2 decimal places? 0.7 Let l = 61359 + -21019. Round l to the nearest 1000. 40000 Let n be (-18)/12 + (-21)/(-6). Let r(b) = n + 129*b + 2 - 6 - 2574999*b**2 - 130*b. Let q be r(2). What is q rounded to the nearest one million? -10000000 Let a = 6796.891232 - 6797. Let f = -0.109 - a. Round f to five dps. -0.00023 Let b = -4699 - -6849. What is b rounded to the nearest one hundred? 2200 Let j = -23 + 22.72. Let q = j + 16.28. Let p = q - 15.993. Round p to two dps. 0.01 Let y = 79 + -76. Suppose -4*h = -y*h + 2900. What is h rounded to the nearest one thousand? -3000 Let w = -6.08497 - -6.058. What is w rounded to three decimal places? -0.027 Let u(r) = 950*r - 65. Let k be u(2). What is k rounded to the nearest 100? 1800 Let b be 1/(-4) + 141586123/28. Suppose 4*g - b = -5*q - 576652, -2*q = 5*g - 5599998. Suppose -3*l - l = -g. What is l rounded to the nearest 100000? 300000 Suppose -2*g = -0*x - 4*x + 644260418, -4*x + 5*g = -644260421. Suppose -5*i = 133434896 + x. What is i rounded to the nearest one million? -59000000 Let y be 182/7 - (-4 - -1). Let f be y/((1/79411)/(-1)). Let q = f + -8897081. What is q rounded to the nearest one million? -11000000 Let n = -71 - -159. Let t = -5068631 - -5068542.99957. Let s = n + t. Round s to 4 decimal places. -0.0004 Let u = -43.609969 - 0.708351. Let r = u + 44.3. Let y = r - -0.02. Round y to 4 decimal places. 0.0017 Let q be 4/(2 - 0) - -9452153. Let s = q - 5406095. Let u = -2066060 + s. Round u to the nearest 100000. 2000000 Let i = 2350.89 + -2362. Let a = i - -11. Let g = -0.02 + a. Round g to two decimal places. -0.13 Let w = 37.799 + -38. Let u = 0.20100541 + w. Round u to six dps. 0.000005 Let u = -1122 - -1881. Let k = u + -517. Let x = k + -242.000351. What is x rounded to five decimal places? -0.00035 Suppose 0 = -3*d - 18 + 3, 3*d = -3*z - 4380015. Round z to the nearest 100000. -1500000 Let d = -1657 - -6315. Let i be d/18 + (-18)/(-81). What is i rounded to the nearest 10? 260 Let b(x) = -3340*x**2 - 78*x - 4. Let t be b(-38). Round t to the nearest 1000000. -5000000 Let s = 16346.06 - 16196. Let d = -152 + s. Let j = d - -1.7. Round j to one decimal place. -0.2 Let g = -74.40000848 - -74.4. What is g rounded to 6 dps? -0.000008 Let k = -29.8 - -29. Let o = -0.96 - k. Let u = o - -1.06. What is u rounded to 1 decimal place? 0.9 Let l = 99 + -63. Let n = -36.0122 + l. Round n to 2 dps. -0.01 Let x = 3 - 0. Let b be (4 - 1)*4/x. Suppose -b*c - 3*t = -4068, 5*c + 5*t - 5084 = t. What is c rounded to the nearest 100? 1000 Let t = -163 + 447. Let l = t - 283.999843. What is l rounded to 5 dps? 0.00016 Let d = -176.8 + 163. Let g = d - -2.8. Let h = g - -11.00128. Round h to 4 dps. 0.0013 Let c = -396705.917 + 396620.9170166. Let o = 455 - 540. Let j = o - c. Round j to six decimal places. -0.000017 Let d = 81606 + -87140.9. Let l = d + 5224. Let w = l + 299. Round w to zero decimal places. -12 Let t = -1633.456 + 1627. Round t to one decimal place. -6.5 Let k = -0.24 - -0.258. Let p = k - -0.872. Let z = -0.8 + p. What is z rounded to 2 dps? 0.09 Let s = 28.362 - -0.238. Let x = 33 - s. What is x rounded to zero decimal places? 4 Let v = -16 + 10. Let b be 15/(-6) + 3 + 3312003/v. Round b to the nearest one hundred thousand. -600000 Let c = -0.446 - -0.17. Let p = c + 0.27449. What is p rounded to four decimal places? -0.0015 Let j = 708 + -708.000000363. Round j to 7 dps. -0.0000004 Let r = 0.18547758 - -8881.81532242. Let z = 8903 - r. Let c = z - 21. Round c to three decimal places. -0.
{ "pile_set_name": "DM Mathematics" }
atest common divisor of 988 and 38? 38 What is the highest common divisor of 102 and 186303? 51 Calculate the highest common divisor of 485760 and 2400. 480 What is the greatest common factor of 98 and 110642? 98 Calculate the greatest common factor of 39 and 107003. 13 What is the highest common divisor of 17967 and 212? 53 Calculate the greatest common factor of 170 and 223750. 10 What is the greatest common factor of 92 and 197660? 4 What is the highest common divisor of 1216 and 214? 2 What is the highest common divisor of 21 and 34517? 7 What is the greatest common factor of 468550 and 200? 50 Calculate the greatest common divisor of 59657 and 1412. 353 Calculate the highest common divisor of 55261 and 365. 73 What is the greatest common divisor of 277218 and 189? 9 What is the highest common factor of 9465 and 30? 15 What is the greatest common divisor of 243 and 274347? 243 Calculate the highest common divisor of 391558 and 348. 58 Calculate the greatest common divisor of 38835 and 30. 15 Calculate the greatest common factor of 27787 and 27036. 751 Calculate the highest common divisor of 4450 and 1150. 50 What is the greatest common divisor of 28324 and 25220? 388 Calculate the greatest common divisor of 161 and 145243. 7 Calculate the highest common factor of 5075 and 95700. 725 What is the highest common factor of 1806 and 5019? 21 What is the highest common divisor of 12 and 10988? 4 Calculate the greatest common divisor of 15 and 106815. 15 Calculate the greatest common factor of 306 and 214506. 306 Calculate the highest common factor of 2 and 115683. 1 What is the highest common factor of 2656 and 12118? 166 Calculate the highest common divisor of 27 and 631089. 9 What is the greatest common factor of 1110472 and 88? 88 Calculate the greatest common divisor of 5705 and 280. 35 Calculate the highest common factor of 12 and 148032. 12 What is the greatest common divisor of 270 and 15310? 10 What is the greatest common divisor of 415 and 664? 83 Calculate the greatest common divisor of 1078 and 50568. 98 What is the highest common divisor of 12532 and 14? 2 Calculate the greatest common factor of 468 and 644488. 52 Calculate the highest common divisor of 102081 and 2583. 21 What is the highest common divisor of 26289 and 3175? 127 Calculate the greatest common factor of 25 and 276600. 25 What is the highest common divisor of 3016 and 3712? 232 Calculate the highest common divisor of 681603 and 39. 39 Calculate the highest common factor of 5924 and 64. 4 Calculate the highest common factor of 98237 and 5211. 193 What is the greatest common divisor of 1125824 and 686? 98 Calculate the highest common divisor of 662 and 2473232. 662 What is the highest common divisor of 1140 and 22296? 12 Calculate the highest common divisor of 295716 and 532. 76 Calculate the greatest common divisor of 644 and 39031. 23 Calculate the highest common factor of 648 and 13122. 162 Calculate the greatest common factor of 8451 and 39. 3 What is the greatest common divisor of 330 and 7080? 30 Calculate the highest common divisor of 29050 and 70. 70 Calculate the greatest common divisor of 41 and 59491. 41 What is the greatest common factor of 1177336 and 16? 8 What is the greatest common factor of 102960 and 1210? 110 What is the highest common factor of 6489 and 693? 63 Calculate the greatest common factor of 442896 and 300. 12 Calculate the greatest common factor of 1240 and 76136. 248 Calculate the highest common factor of 94425 and 225. 75 What is the highest common factor of 1134 and 690? 6 What is the highest common divisor of 2136 and 192? 24 Calculate the highest common factor of 240800 and 6300. 700 Calculate the highest common divisor of 2356 and 3648. 76 Calculate the highest common factor of 2808 and 7462. 26 Calculate the greatest common divisor of 4224 and 7568. 176 What is the greatest common divisor of 45696 and 49623? 357 Calculate the greatest common divisor of 328265 and 113. 113 What is the highest common divisor of 501 and 114061? 167 What is the greatest common factor of 4720 and 14000? 80 Calculate the greatest common factor of 80517 and 6. 3 What is the greatest common factor of 1286 and 14? 2 Calculate the greatest common factor of 1049090 and 490. 490 Calculate the highest common factor of 12 and 11068. 4 Calculate the highest common divisor of 44 and 393628. 4 What is the highest common factor of 6687 and 576? 9 Calculate the highest common factor of 5966 and 133. 19 What is the highest common factor of 3289 and 17963? 253 What is the highest common factor of 123 and 27470? 41 What is the greatest common factor of 8058 and 174? 6 Calculate the highest common divisor of 16 and 3470336. 16 Calculate the highest common divisor of 41256 and 504. 72 Calculate the greatest common divisor of 225038 and 15158. 1166 Calculate the highest common divisor of 817448 and 32. 8 What is the highest common factor of 3081 and 12493? 13 What is the highest common factor of 50 and 20630? 10 Calculate the greatest common divisor of 49913 and 111. 37 What is the highest common divisor of 408 and 304096? 136 What is the highest common factor of 16 and 726232? 8 What is the greatest common divisor of 5 and 16940? 5 What is the greatest common factor of 265 and 171455? 265 Calculate the greatest common factor of 224 and 12278. 14 Calculate the greatest common divisor of 301 and 187007. 43 Calculate the greatest common factor of 12 and 62058. 6 Calculate the greatest common factor of 7412 and 68612. 68 Calculate the greatest common divisor of 47 and 2424824. 47 What is the greatest common divisor of 56 and 1024472? 8 Calculate the highest common divisor of 224 and 5264. 112 What is the highest common factor of 5114116 and 1596? 532 Calculate the highest common factor of 6742 and 174. 2 Calculate the greatest common factor of 80 and 2875920. 80 What is the highest common factor of 761124 and 182? 182 Calculate the highest common factor of 230530 and 230. 10 What is the highest common divisor of 949 and 803? 73 What is the greatest common divisor of 18602 and 12314? 262 Calculate the highest common factor of 1383 and 12. 3 Calculate the highest common divisor of 16 and 414424. 8 What is the highest common divisor of 5952 and 3038? 62 What is the greatest common divisor of 7067 and 1628? 37 What is the highest common factor of 29302 and 9555? 637 Calculate the greatest common factor of 10643 and 734. 367 Calculate the highest common divisor of 4 and 5396. 4 What is the greatest common factor of 798 and 2401? 7 What is the greatest common factor of 110 and 743314? 22 Calculate the highest common factor of 3445 and 6175. 65 Calculate the highest common divisor of 1528 and 58446. 382 What is the highest common divisor of 28 and 14568? 4 What is the greatest common divisor of 8724 and 36? 12 What is the highest common factor of 6084 and 22752? 36 Calculate the greatest common factor of 22226 and 18. 2 What is the highest common factor of 2421 and 357501? 807 Calculate the greatest common divisor of 47652 and 22. 22 Calculate the greatest common divisor of 13392 and 726. 6 What is the greatest common factor of 1 and 59017? 1 Calculate the greatest common factor of 11397 and 30102. 87 Calculate the highest common factor of 116725 and 46. 23 Calculate the highest common factor of 60 and 214660. 20 Calculate the greatest common factor of 6973 and 2242. 19 Calculate the greatest common divisor of 480 and 46980. 60 Calculate the highest common divisor of 805 and 19481. 161 What is the greatest common divisor of 2717 and 118547? 143 What is the highest common factor of 28842 and 1320? 66 What is the greatest common divisor of 24 and 62844? 12 What is the greatest common divisor of 88 and 1027994? 22 Calculate the greatest common factor of 204 and 40086. 102 Calculate the highest common divisor of 2118580 and 2. 2 What is the greatest common factor of 48 and 61328? 16 Calculate the highest common factor of 1605 and 963. 321 What is the greatest common factor of 3332992 and 1024? 128 What is the greatest common divisor of 1358 and 112? 14 What is the greatest common factor of 2632 and 230629? 329 Calculate the greatest common factor of 714 and 5886573. 357 What is the gr
{ "pile_set_name": "DM Mathematics" }
of 3*k**4/2 - 2*k - 3. Differentiate q(n) with respect to n. 18*n**2 Suppose 3 = 3*h - 3*z, -z - 11 = -4*h - 4*z. Find the second derivative of -5*v + h*v + 4*v - 2*v**3 wrt v. -12*v What is the third derivative of -7*l**3 - l**2 + 14*l**2 + 7*l**3 - 17*l**4 wrt l? -408*l Let m(a) = -7*a + 22. Let d(y) = -4*y + 11. Let c(i) = 11*d(i) - 6*m(i). Let j(n) = n + 6. Let z(s) = 4*c(s) + 7*j(s). Find the first derivative of z(f) wrt f. -1 Let m = 30 - 28. What is the second derivative of -3*u - 2*u**4 - 12*u**m + 12*u**2 - 5*u**4 wrt u? -84*u**2 Let r be ((-3)/(-1) - 1)*1. Suppose o - 5*z = 11, -r*z + 7*z = 4*o - 14. Find the first derivative of 5*v**3 - 3*v**3 + 0*v**3 - o wrt v. 6*v**2 Let j(w) be the second derivative of w**8/56 + 11*w**4/12 - 13*w. Find the third derivative of j(a) wrt a. 120*a**3 Let p(s) = s**5 + s**4 - s**2 - s + 1. Let f(b) = 30*b**5 + 3*b**4 - 3*b**2 - 15*b + 3. Let w(c) = -f(c) + 3*p(c). What is the second derivative of w(x) wrt x? -540*x**3 Let u(r) be the first derivative of 3/4*r**4 - 3/2*r**2 + 0*r + 0*r**3 + 5. Find the second derivative of u(h) wrt h. 18*h Let l be (6/(-8))/(3/(-12)). What is the third derivative of 11*u**2 + 0*u**2 - 9*u**2 - 2*u**l wrt u? -12 Let m(z) be the first derivative of -z**6/5 + 5*z**4/12 + 8*z + 2. Let g(i) be the first derivative of m(i). Find the third derivative of g(p) wrt p. -144*p Let v be (-23)/(-5) + (-6)/(-15). Find the third derivative of 6*b**3 - 4*b**3 - 3*b**2 - 2*b**3 + 2*b**v wrt b. 120*b**2 Let l(b) be the first derivative of -9*b**4/4 + 5*b**3/3 + 10. Find the third derivative of l(n) wrt n. -54 Let k(q) = 7*q**2 - 4*q - 44. Let i(t) = -36*t**2 + 20*t + 219. Let l(a) = -2*i(a) - 11*k(a). Find the first derivative of l(g) wrt g. -10*g + 4 Let d(q) be the second derivative of -13*q**3/3 - 13*q**2 - 8*q. What is the derivative of d(v) wrt v? -26 Let b = 6 - 4. Suppose 7*g = b*g + 10. What is the third derivative of 3*u**2 - 3*u**2 + 3*u**g - 3*u**5 wrt u? -180*u**2 Let c(q) be the third derivative of 2*q**5/15 + q**4/4 - q**2. Find the second derivative of c(j) wrt j. 16 Suppose 3*f + j + j = 5, 3*f + 5*j = -1. Differentiate 11 + 0 + 10*y**2 - f - y**2 wrt y. 18*y What is the third derivative of 2*x**4 - 8*x**2 + 8*x**2 + 7*x**2 + 4*x**4 wrt x? 144*x Let j(x) = -4*x**3 - 14*x. Let c(f) = -3*f**3 - 13*f. Let d(v) = -7*c(v) + 6*j(v). What is the second derivative of d(r) wrt r? -18*r Suppose -5*k + 4*g + 429 = 139, 0 = -3*g. Let h be (-4)/18 - k/(-18). What is the third derivative of 0*t**2 - h*t**4 + t**4 - 2*t**2 + 5*t**2 wrt t? -48*t Let i(c) = -174*c**2 - 34*c - 161. Let h(p) = -29*p**2 - 6*p - 27. Let z(y) = 34*h(y) - 6*i(y). Differentiate z(q) wrt q. 116*q Let p(c) be the first derivative of -7*c**6/360 + c**4/24 + c**3 - 1. Let t(h) be the third derivative of p(h). Differentiate t(n) with respect to n. -14*n Let s(w) be the third derivative of -w**4/6 - 4*w**3/3 - 2*w**2. Let m(g) = -g + 1. Let p(q) = 6*m(q) + s(q). What is the first derivative of p(j) wrt j? -10 What is the third derivative of 22*v**2 + 37*v**3 - 12*v**3 - 11*v**2 wrt v? 150 Suppose 5*c = -2*k + 5, -2*k = -4*c + 2*k + 32. Suppose -c*q = 2*q - 10. Find the second derivative of q*s - s**2 - s - 2*s**2 wrt s. -6 Let s(m) be the third derivative of m**7/30 + m**3/2 - 7*m**2. What is the first derivative of s(b) wrt b? 28*b**3 Let h(n) be the second derivative of n**6/10 - n**4/12 - 8*n**3/3 - n - 17. Find the second derivative of h(m) wrt m. 36*m**2 - 2 Differentiate 41*i**2 + 52*i - 21*i**2 + 42 - 2*i - 18*i**2 wrt i. 4*i + 50 Let v(l) = l**2 + l. Let k = 3 + -2. Let a = -16 + 14. Let n(u) = -2*u**3 + 2*u**2 - u. Let j(x) = a*v(x) + k*n(x). Find the second derivative of j(f) wrt f. -12*f Let l(c) be the first derivative of 0*c**2 + 0*c**6 - 4 + 0*c**4 + 0*c**5 + 4/7*c**7 + 0*c + 4/3*c**3. What is the third derivative of l(k) wrt k? 480*k**3 Let s(w) be the third derivative of 0 + 0*w**4 + 0*w - 2/3*w**3 + 0*w**5 - 6*w**2 - 11/120*w**6. What is the derivative of s(z) wrt z? -33*z**2 Let b(f) = 34*f**3 - 39*f**2 - 2*f + 2. Let n(t) = -101*t**3 + 116*t**2 + 7*t - 7. Let s(g) = -7*b(g) - 2*n(g). What is the third derivative of s(w) wrt w? -216 Let u(w) be the first derivative of -2*w**5/5 + 39*w**2/2 + 60*w - 2. What is the derivative of u(m) wrt m? -8*m**3 + 39 Let m(o) be the second derivative of 2*o**6/5 - o**2 - 7*o. What is the first derivative of m(j) wrt j? 48*j**3 Suppose 3*n - 9 = -0*n. Let u(d) be the first derivative of n + 0*d**2 + d + 2/3*d**3. Differentiate u(k) wrt k. 4*k Suppose 8*t - 15 = 3*t. What is the second derivative of 9*g**2 - 2*g - t - 11 + 14 wrt g? 18 Let a(r) be the second derivative of 23*r**6/30 + 27*r**2/2 - 32*r. Differentiate a(p) with respect to p. 92*p**3 Suppose 3 = m - 0. Find the first derivative of -3*c**3 - 5*c + 3*c - m + 2*c wrt c. -9*c**2 Find the third derivative of -12*q**5 - 4*q**5 + 6*q**5 - 5*q**2 + 3*q**5 wrt q. -420*q**2 Let n(r) = 2*r + 1. Let s(p) = p + 2. Let q be s(0). Let t be n(q). Find the first derivative of t + 1 + 3*m - 3 wrt m. 3 Suppose 2*o - 13 = o - 5*d, 3*o - 5*d = -21. Let a be -1 + 3 - o/1. Find the second derivative of 10*r**3 + 3*r - 10*r**3 + 3*r**a wrt r. 36*r**2 Suppose -2*z + 4 = r + 4*r, 8 = -2*r - 4*z. Find the second derivative of 0*j - j + 3*j - r*j**4 wrt j. -24*j**2 Let f(i) = 5*i**3 + 9*i**2 + 7. Let x(l) = -2*l**3 - 4*l**2 - 3. Let q(o) = -4*f(o) - 9*x(o). Find the first derivative of q(w) wrt w. -6*w**2 Let w(r) be the second derivative of -r**5/5 - 9*r**3/2 + 5*r. What is the second derivative of w(h) wrt h? -24*h Let s(y) = 6*y - 1. Let c be s(1). What is the second derivative of -2*b**5 + 2*b**4 - b**c + 3*b - 2*b**4 wrt b? -60*b**3 Let g(q) be the first derivative of q**6/180 - q**4/12 - 2*q**3/3 - 2. Let o(z) be the third derivative of g(z). What is the first derivative of o(s) wrt s? 4*s Let q(v) be the second derivative of 17*v**6/30 - 9*v**2/2 + 16*v. What is the derivative of q(c) wrt c? 68*c**3 Let f(m) be the second derivative of 3*m**5/10 + m**3/3 + m. Find the second derivative of f(w) wrt w. 36*w Let y(r) = -3*r**2 - 2. Let p(o) be the second derivative of -3*o**4/4 - 3*o**2 - 3*o. Let t(j) = 2*p(j) - 7*y(j). Differentiate t(u) with respect to u. 6*u Let c(t) be the second derivative of -31*t**5/20 + t**2/2 + 9*t. Differentiate c(l) with respect to l. -93*l**2 Let z(w) be the first derivative of -19*w**2/2 - w - 2. Let d be z(-1). Differentiate 3*u**4 + 2 - 18*u**3 + d*u**3 with respect to u. 12*u**3 Let x(h) = -h**3 + h**2. Let d(y) = 7*y**3 + 6*y**2 - 22. Let j(u) = -d(u) + 6*x(u). Differentiate j(n) wrt n. -39*n**2 Let j(l) be the first derivative of -l**6/10 + 3*l**2/2 - l - 1. Let w(m) be the first derivative of j(m). What is the first derivative of w(z) wrt z? -12*z**3 Let f(z) = -z**2 - 17*z. Let j(n) = -3*n. Let o(c) = -6*f(c) + 39*j(c). Find the second derivative of o(r) wrt r. 12 Let o(u) be the first derivative of u**9/56 + u**5/6 + u**2 + 8. Let z(h) be the second derivative of o(h). What is the third derivative of z(y) wrt y? 1080*y**3 Let u(a) be the third derivative of -a**6/120 + a**5/20 - a**2. Find the third derivative of u(z) wrt z. -6 Let w(j) be the first derivative of 2*j**3/3 + j**2/2 - 6. Find the second derivative of w(o) wrt o. 4 Let k(i) be the second derivative of -1/3*i**4 + 0*i**2 - i + 0 - 5/6*i**3. What is the second derivative of k(d) wrt d? -8 Let f = 13 + -20. Let x(d) = 3*d**2 + 10*d. Let z(b) = -2*b**2 - 7*b. Let u(q) = f*z(q) - 5*x(q). Find the second derivative of u(g) wrt g. -2 Suppose 4*z - 5*b = 18, -z - 6 = -4*b + 8*b. What is the second derivative of -3*r**5 + 0*r**5 - 4*r - z*r + 2*r wrt r? -60*r**3 What is the derivative of 4*i - 6 - 6*i + 4*i - 5*i wrt i? -3 Let q be 2 + 0 - 1*8. Let w be ((-8)/q)/((-2)/(-15)). What is the first derivative of -7*t**2 + w*t**2 - 2 + 1 wrt t? 6*t Let j(o) = -o**3 + 3*o**2 + 3*o - 4. Let m be j(3). Find the second derivative of -f + 0*f - m*f**2 + 3*f**2 wrt f. -4 Let l(g) be the third derivative of 2*g**7/35 - g**4/24 - 8*g**2. What is the second derivative of l(b) wrt b? 144*b**2 Suppose 0 = -2*q + 5*l - 15, -3*l = 5*q + 2*l - 15. What is the first derivative of -3 + 2 - 3 + q*o**3 - 2*o**3 wrt o? -6*o**2 Let k(h) = h - 13. Let r(t
{ "pile_set_name": "DM Mathematics" }
+ l + w*c and give r. -251 Express 1571*n - 523*n - 519*n - 526*n + 212 as o + r*n and give o. 212 Rearrange 7*r**3 + 4 - 106*r - 2 - r**3 - r**3 to the form x*r**3 + o*r**2 + b*r + a and give x. 5 Rearrange (4*w + w - 2*w)*(6262 + 4868 - 4969) to g*w + m and give g. 18483 Express -263 - 272 - 140*t + 506 as r*t + h and give r. -140 Express -416*h - 10*h**2 + 839*h - h**2 - 1 - 397*h in the form t*h + q + o*h**2 and give o. -11 Express 146*y - 8*y**3 + 157 + 3*y**3 - 294*y + 148*y as j*y**2 + z*y**3 + c + x*y and give z. -5 Express (17*o**2 + 18*o**2 - 50*o**2)*(40 + 4*o**2 - 790*o + 791*o - 2*o**2) in the form m + d*o**3 + n*o**4 + g*o**2 + z*o and give n. -30 Rearrange (0 - 4 + 1)*(0*h - 4*h + 3*h)*(59 - 109 - 75)*(-6 + 4 - 1) to the form c*h + n and give c. 1125 Express (3 + 1 - 2)*(345 - 399 + 738)*(10*c + 3 - 3) as y*c + d and give y. 13680 Rearrange -7*q + 3 - 22*q - q**4 - q**2 - 133*q**3 + 133*q**3 to the form y*q**2 + h*q**4 + o*q**3 + v + u*q and give h. -1 Express 0*c**3 + 6*c**3 - 5*c**3 + (-23*c**2 - 29*c**2 + 8*c**2)*(-3*c + 2*c - c) + (-c - 2*c + c)*(1 - 2*c**2 - 1) as s*c**2 + y + a*c**3 + f*c and give a. 93 Express 1 - 1 - a + (0 + 4 - 5)*(2*a + 4*a - 4*a) + 0*a + 2*a - a + (1 + 2 - 1 + (-1 + 0 + 3)*(-6 + 1 + 3))*(-274*a - 52*a - 74*a) as w*a + d and give w. 798 Express (185632872 - 185632872 + 21738*j)*(-j + 0 + 0) as c + p*j + l*j**2 and give l. -21738 Rearrange -42 + 11 + 16 + 15 + 32482*y to the form f + x*y and give x. 32482 Rearrange (-8*c - 3*c - 12*c)*(2284*c**2 - 326*c**3 - 2284*c**2) to the form d + k*c + i*c**4 + v*c**3 + a*c**2 and give i. 7498 Express -2*b + 2*b + b**2 + (32*b + 5*b - 6*b)*(11*b - 5*b + 0*b) as g*b**2 + t*b + y and give t. 0 Express -k - 408914 + 6*k + 2*k**2 + 408921 as a*k + x*k**2 + d and give x. 2 Rearrange (-215 - 33 + 41)*(-3 + 2 + 3)*(27*a - 326 + 326) to v + o*a and give o. -11178 Rearrange -170*j**2 - 2 - 37*j - 41*j + 92*j**2 + 78*j to the form x + z*j + p*j**2 and give x. -2 Rearrange -147 - 31724*x + 31715*x - 53 to y + r*x and give r. -9 Rearrange -185*l + 185*l + 17*l**3 + (3*l - 3*l + l)*(0*l - 2*l**2 + 0*l) - 51*l**3 - 23*l**3 - 2*l**3 to w*l**3 + a + q*l**2 + g*l and give w. -61 Rearrange -4930*z + 69*z**2 + 4930*z + (102*z + 183 - 183)*(5*z - 3*z + 0*z) to the form h + p*z**2 + i*z and give p. 273 Rearrange -2*v**2 + 287*v**3 + 635 - 65*v**3 - 218*v**3 to the form a + i*v**3 + o*v + f*v**2 and give i. 4 Express 3 - 8 - 610254*p**3 + 5*p - 3*p**4 + 610249*p**3 in the form x + n*p**3 + d*p**2 + l*p**4 + w*p and give x. -5 Express -5 + 0 + 3 - 10*i**3 - 118*i**2 + 121*i**2 - 1 + 3*i in the form v + m*i**3 + l*i + z*i**2 and give z. 3 Rearrange -178 - 144 + 2*s - 142 - 21*s**4 + 449 to n*s + u + p*s**4 + k*s**3 + b*s**2 and give n. 2 Rearrange (-8 - a**2 + 8)*(1 - 12 + 18)*(-3 - 2*a + 3) + (-11 + 4*a + 11)*(0*a**2 - 3*a**2 + 4*a**2) to the form s*a + j*a**2 + h + v*a**3 and give v. 18 Express 14 + 1821*n + 7 - 1867*n - 2*n**2 in the form w + z*n + d*n**2 and give z. -46 Express 677*r**4 - 5*r - 4 - 723*r**4 + r**2 + 5*r as i*r + a*r**4 + l + b*r**2 + x*r**3 and give l. -4 Rearrange -18299*n + 35672*n - 20038*n - n - 3*n + n + (-1 + 3 - 3)*(0*n + 2*n - 4*n) to the form x*n + k and give x. -2666 Express -2 + q + 2 + 22 - 29 - 52 - q + 0*q + 3*q - 2*q + (5 - 2 + 1)*(1 - 3*q - 1) as j + u*q and give u. -11 Express -343*l + 90*l - 255*l - 137*l + 26*l - 5*l**2 as p*l**2 + x*l + u and give x. -619 Express (2*f - f + 0*f)*(3382 + 518 + 206 + 5141)*(-1 - 2*f**2 + 1) in the form l*f + j*f**2 + q*f**3 + s and give q. -18494 Express -51 + 9*x - 66 + 43 - 3 - 58 in the form u*x + n and give u. 9 Express -1934*d - 1610 + 770*d + 3220 - 1610 in the form z + l*d and give l. -1164 Rearrange -11191*w**4 - 2*w**2 + 4*w**2 + 0*w**2 - 4*w**3 + 2*w**3 + 11048*w**4 to the form f + t*w + j*w**4 + z*w**2 + a*w**3 and give z. 2 Express 93*s - 224*s + 129*s - 14*s**2 - 3*s**4 - 3*s**3 as i*s + n*s**2 + a*s**3 + u*s**4 + y and give i. -2 Express -5 + 7 + 58*v - 1 + 9*v as r + j*v and give j. 67 Rearrange (-59*w + 8*w + 25*w - 6144 + 20*w)*(-3 + 5 + 0*w**2 + 3*w**2) to u*w**3 + o + z*w + f*w**2 and give u. -18 Rearrange -2*b**2 + 2 - 1342*b**3 + 70*b - 48*b - 22*b to the form x*b**2 + f*b**3 + k*b + t and give x. -2 Rearrange 1467049*g**2 - 3*g**4 + 183 - 1467049*g**2 + 5*g to m*g**3 + d + p*g**2 + o*g**4 + j*g and give o. -3 Rearrange 4*g**3 - 24*g**3 - 9*g**3 + 15*g**2 - 40*g**2 + 2*g**3 to the form t*g**3 + x*g + s + o*g**2 and give o. -25 Express (5*f**2 + 5*f**2 - 4*f**2)*(-2*f - f + 2*f) + 117*f - 117*f + f**3 + f**2 in the form m*f + v*f**2 + i*f**3 + l and give v. 1 Express 31093*t**2 - 16276*t**2 - 4972*t**2 as j*t + o + s*t**2 and give o. 0 Express (-5 + 2 - 6)*(-4 + 1 + 2)*((2 + 2 - 11)*(5 + 9 - 5) - 3 - 1 + 2)*(12*o + 18*o - 13*o) as g*o + u and give g. -9945 Express -4*h**2 + 9*h**2 + 3*h**2 + (-5*h + 0*h + 3*h)*(-2 + 2 + 2*h) - 2 + 2 - 3*h**2 + (3*h + 53 - 53)*(2*h - 14*h + 3*h) as l*h + g*h**2 + y and give g. -26 Express -5*f**4 + 12*f + 5*f**2 + 98 - 25*f**3 + 23*f**3 - 4*f**2 - 100 in the form y*f**3 + j*f**4 + s*f**2 + i + u*f and give y. -2 Rearrange (6 - 2*m**2 - 6)*(1326 - 4671 - 2501 - 1712) to k + h*m**2 + a*m and give h. 15116 Express -4*a**2 - 236*a**4 - 8*a - 2 + 359*a**4 - 4*a**2 + 10*a + 7*a**2 as g*a**4 + m*a + s*a**2 + i + h*a**3 and give i. -2 Rearrange (1 - 31 - 47)*(0 + 1 + 1)*(-1 + 1 - 1)*(t + 0*t - 2*t) to d*t + h and give h. 0 Express -2 - 2 - 731*x**2 + 94*x**3 + 734*x**2 in the form n*x**3 + k*x + h + y*x**2 and give k. 0 Rearrange (0*y + 2*y - 4*y)*(2*y + 4*y - y) - y**2 - 2*y**2 + 0*y**2 - 4*y**2 + 2*y**2 + 0*y**2 + 4*y**2 + 0*y**2 + 0*y**2 to u*y + d + t*y**2 and give t. -11 Express 2*c**3 - c**3 + 3*c**3 + (166 - 301 + 234)*(1 + 2*c - 1)*(0*c + 0*c - 2*c**2) in the form s*c**2 + y + h*c**3 + q*c and give h. -392 Express (0*s + 4*s + 0*s)*(-4 + 1 + 4)*(6 - 14*s + 7*s - 83*s) as t + c*s**2 + o*s and give c. -360 Rearrange -299*o**3 + 706*o**3 + 690*o**3 - 3*o**2 + o**3 + 3*o**2 + (-11*o + 3*o**2 + 11*o)*(-3*o + 3 - 3) to u*o + l + v*o**3 + n*o**2 and give v. 1089 Express 5*b - 6*b - 2*b + (6 - 8 + 5)*(179*b - 2831 + 2831) as n + h*b and give h. 534 Rearrange 4*l**2 + 432*l - l**2 - 141*l - 144*l + 4 + 10*l**3 - 148*l to x + a*l**2 + c*l**3 + y*l and give y. -1 Rearrange -310 + 630 + 1113*j - 319 to the form m*j + h and give m. 1113 Rearrange -2 - 737*w + 737*w - 3*w**2 - 7*w**4 + 991*w**3 + 26 - 989*w**3 to n*w**3 + v*w**2 + d + l*w**4 + t*w and give v. -3 Express -2*m + 4*m - 2*m**2 - m + 10*m**2 - 2*m**2 + 0*m**2 + (-3 + m + 3)*(-m + 2*m + 0*m) + 2*m**2 + 4*m**2 - 3*m**2 in the form v + u*m + n*m**2 and give u. 1 Rearrange -11*j**4 + 15*j + 23*j**4 + 150*j**3 - 151*j**3 - 13*j**4 + j**2 to m + g*j**3 + d*j**4 + x*j + r*j**2 and give g. -1 Express -16 + 6589*o**2 - o**3 + 2*o - 6592*o**2 + 2 as u + k*o + l*o**2 + b*o**3 and give l. -3 Express (-2 + 5 + 0)*(516 - 1043 + 526 + 1089*z) as m*z + o and give m. 3267 Rearrange 26209 - 34362*n - 26209 to the form d + j*n and give j. -34362 Rearrange 7669 - 7669 + 4793*u**2 to g*u**2 + w + y*u and give g. 4793 Express (7*l**3 - 3*l**3 + 16*l**3 + (-l**2 + l**2 + l**2)*(7*l - 2*l - 2*l))*(-88 - 133 - 8 + 29) as r*l + x*l**3 + o*l**2 + a and give o. 0 Express 190710*d**2 - d**3 - 2*d**3 - 190701*d**2 - 34 - 14 + d as x*d**2 + u*d + o + n*d**3 and give n. -3 Express (-19637 - 4893 - 10660 + 4314 + 147)*(-3 + 7 - 1)*(-3*v + 2*v + 0*v) as l + n*v and give n. 92187 Express (1289*l + 404*l + 1003*l + 227*l + 2599*l)*(-l**2 + 3*l**2 + 0*l**2) as h + x*l + b*l**3 + s*l**2 and give b. 11044 Rearrange -41 + 3*i - 27 - 648*i**2 + 213*i**2 + 66 - 12*i**3 + 15*i**3 to t*i**2 + h + d*i + m*i**3 and give h. -2 Rearrange -3*a + 18 + 16*a**3 + 10 + 2*a**2 + 14*a**3 + 3*a**3 - 27 to z*a + c*a**2 + s + g*a**3 and give c. 2 Express (-2*h + 4 - 4 + (4*h + 0*h - h)*(-5 + 3 - 1))*(4*h - 2*h + 7*h + (-2 - 3 + 4)*(-102 + 102 - 18*h)) as d + t*h**2 + v*h and give t. -297 Express (-4 - 2*q**2 + 4)*(2*q - 71 + 589 + 1067) as w*q**3 + b*q**2 + p*q + v and give b. -3170 Express 742*r**4 + 6 - 2 + 3*r + 75 - 372*r**4 - 371*r**4 - 2*r**2 in the form z + w*r**4 + a*r**3 + x*r**2 + j*r and give j. 3 Express -3034*k - 1148*k + 2589*k as j + w*k and give w. -1
{ "pile_set_name": "DM Mathematics" }
What is the fourth biggest value in 7/33, -0.2, 3/19, -2/3, -109/3, 0.3, 2/23? 2/23 Which is the sixth biggest value? (a) -19 (b) -8 (c) -1.78 (d) -2/9 (e) 3 (f) -4 (g) 5 b Which is the second biggest value? (a) -377.4 (b) 53 (c) -1/3 (d) -1/32 d Which is the sixth smallest value? (a) 0.5 (b) 378 (c) 0.89 (d) -0.07 (e) 1 (f) -4 (g) -30 e What is the third smallest value in -3, -4, 1/25, 13, 1, -2/5, -68? -3 What is the second smallest value in 24, 4/785, -548? 4/785 Which is the second biggest value? (a) 0.2356 (b) 1/3 (c) 1 (d) 4 (e) 16 (f) -2 (g) 19 e What is the sixth biggest value in -2.4, -0.4, 57, 1, -1.6, 0.3, 3/2? -1.6 Which is the fourth smallest value? (a) -31 (b) 2/9 (c) -3 (d) 2/5 (e) 0.5 (f) 63 d What is the fifth smallest value in -1, 332, 0.087, -3, -5, 5? 5 What is the fifth biggest value in 1/5, 24, -22, -0.3, 1/2, -110, 13? -0.3 Which is the third smallest value? (a) -183 (b) 5 (c) -194/191 b What is the fourth smallest value in -2, 3/4, -16622, 0, 0.15? 0.15 Which is the second biggest value? (a) -2/7 (b) 6/5497 (c) 1 (d) 2 (e) -2 c What is the third smallest value in 30692, -1/3, 4.5? 30692 Which is the second biggest value? (a) 0.338 (b) -9 (c) 2 (d) 0.08 (e) 0.06 a Which is the fifth smallest value? (a) -62 (b) -0.2 (c) -19 (d) -4 (e) 0.08 (f) 5 e What is the biggest value in -3, 0.24, -161245.36? 0.24 What is the third biggest value in -1528, 2.25, -8? -1528 Which is the second smallest value? (a) -44534.2 (b) -1/5 (c) 0.1 (d) 1/14 b What is the third smallest value in -1, -831/11, 5/7? 5/7 What is the smallest value in 7/12, 4/5, -55, -5.6? -55 What is the second biggest value in -889, 2/11, 0.1, 4/5, 1, -4, -0.083? 4/5 What is the third smallest value in -3, -0.5, -1/15, 86, 11/6, 0.3? -1/15 Which is the second smallest value? (a) -3/5 (b) -26 (c) 5 (d) 60 (e) -3/2 (f) 6/25 e Which is the fourth smallest value? (a) -49/946 (b) -325.3 (c) 3 (d) -2/13 c Which is the third smallest value? (a) 2/3 (b) 0.2 (c) -2.8 (d) -3 (e) 70 (f) 2/21 (g) 1/3 f Which is the fifth biggest value? (a) -2/3 (b) -3/7 (c) 2 (d) -53 (e) -157/4 (f) 19/2 (g) 1 a What is the second biggest value in 3, -36/1691, -3? -36/1691 What is the second smallest value in -13503, -1.5, -2/21? -1.5 Which is the third biggest value? (a) -0.05 (b) -80 (c) -10794 c What is the second smallest value in 134, 7/8, -5116? 7/8 Which is the second biggest value? (a) -253 (b) -0.4 (c) 1/2 (d) 468/61 (e) 0.1 c Which is the third smallest value? (a) -1 (b) 199 (c) 0.544 (d) 61 (e) -5 c What is the second smallest value in -1/3, -1206819, 3? -1/3 Which is the second biggest value? (a) 4/5 (b) -26 (c) 3/4 (d) 3179 (e) -0.01 (f) -3/5 a What is the sixth biggest value in 2/19, -178/7, -11, 2/9, -6/7, -44? -44 Which is the third smallest value? (a) -4 (b) 4921/226 (c) 2/3 (d) 3 d Which is the second biggest value? (a) -2/13 (b) -0.5 (c) 548735 a What is the third biggest value in -3/7, -8, 0.2, -255.61? -8 What is the second smallest value in 12, -72, -0.4, -2/3, -0.265? -2/3 Which is the second smallest value? (a) 0.3 (b) -3/7 (c) 3 (d) -2/3 (e) 2/9 (f) -12072 (g) -3 g Which is the fifth smallest value? (a) 1 (b) -1 (c) 2 (d) -4 (e) -3.35 (f) 0.3 a What is the second smallest value in -3/5, -3517/2, 372? -3/5 Which is the sixth biggest value? (a) -0.2 (b) -0.498 (c) -5 (d) 1 (e) 1/58 (f) -1 c Which is the sixth smallest value? (a) -2 (b) -2/7 (c) -6 (d) -1/8 (e) 0.62 (f) 0.3 (g) 17/5 e Which is the second smallest value? (a) 304 (b) -4 (c) 0.1 (d) -1 (e) -68 b Which is the fourth biggest value? (a) -2 (b) 3 (c) 3/4 (d) 3/32 (e) 4587 d What is the fourth smallest value in 0.1, 1/3, -48, 14/5, 12? 14/5 What is the biggest value in -2/1223, 8.8, -0.3, 11/3? 8.8 What is the biggest value in 303, 52/69, 2, 1/3, 24? 303 What is the fourth biggest value in -9, -2/15, 2/11, -30/107, 5? -30/107 Which is the smallest value? (a) 50264 (b) 0.23 (c) -0.5 c Which is the biggest value? (a) 60/17 (b) 1 (c) -9 (d) -1 (e) -3/16 (f) -10 a Which is the biggest value? (a) -23 (b) 0.1 (c) 3 (d) -57 (e) 3.3 (f) -18 e What is the third biggest value in 17, -3541, -388? -3541 Which is the smallest value? (a) 2.7 (b) -3 (c) -486.2 (d) -5.2 c Which is the second smallest value? (a) -963 (b) -1 (c) 19/23 b Which is the fourth smallest value? (a) 8/229 (b) -146 (c) 0 (d) 1 (e) 3/4 e What is the second smallest value in 268157, 0, 0.4, 2/9? 2/9 What is the third biggest value in 64, 0.8, -112857, 0.3? 0.3 What is the fifth smallest value in 65, 0.5, 9, 266, 1/17? 266 What is the third smallest value in 1022.46, 5, 4887? 4887 What is the third biggest value in 3748, -5, 0.3, -114? -5 What is the third smallest value in -22, -206.2, 0.027, 3? 0.027 Which is the third smallest value? (a) 3468 (b) 0.1 (c) -4961 a What is the third smallest value in 0, 0.2, 3/8, -224, -7, 80? 0 Which is the sixth smallest value? (a) -0.038446 (b) -1 (c) 3/4 (d) -0.1 (e) 2 (f) 4 f Which is the second biggest value? (a) -1.1 (b) 29.6 (c) -0.4 (d) -4/7 (e) -4 (f) 2 f Which is the smallest value? (a) 498 (b) -163 (c) -3/67 b Which is the fifth biggest value? (a) 32 (b) 191 (c) -1 (d) -4/9 (e) 2 c Which is the biggest value? (a) -443 (b) 0.04 (c) -1/2 (d) -1 (e) -0.46 (f) 4 f What is the second biggest value in -0.1, -4, 2/17, -2/15, 2/165, 147, 4? 4 What is the biggest value in -2540, 2, 9, -3, -3.97? 9 Which is the biggest value? (a) 1/2 (b) 0.12 (c) -1/2 (d) 0.061347 a Which is the fourth smallest value? (a) -28521 (b) -18 (c) 4 (d) -2/5 (e) 0 e Which is the biggest value? (a) 725 (b) -0.4 (c) 4 (d) -4 (e) -105/11 (f) 11 a What is the second biggest value in -2/13, 3, 2/125, -2/7, 2/5533, 0.4? 0.4 What is the seventh biggest value in 0.3, 4, 1/4, -0.2, 0.002, 1/2, -1.34? -1.34 What is the second smallest value in -78.8, 0.1, 6557? 0.1 Which is the second biggest value? (a) -2/5 (b) 0 (c) 1/8 (d) -60 (e) 1.5 (f) -0.84 c Which is the second smallest value? (a) 14 (b) -0.3 (c) -260.23 (d) 1/3 b What is the biggest value in 3, 9592, 5949/10? 9592 Which is the fourth biggest value? (a) 4/3 (b) 2/7 (c) -3 (d) -143 (e) 22 (f) 49 (g) -5 b Which is the biggest value? (a) -45/8 (b) 0 (c) -4 (d) -0.3 (e) 38 (f) 9 (g) 3/4 e What is the fourth smallest value in 1, 14, 213, -5, -0.1? 14 Which is the fifth biggest value? (a) 0.018 (b) 3 (c) -0.2 (d) 44 (e) 1 c What is the seventh biggest value in 3/2387, 0.4, -1/4, 1/6, -18/13, 2, 0.3? -18/13 What is the third biggest value in -1/2, 56, 6, 38, 2/427? 6 Which is the biggest value? (a) 3 (b) -0.12 (c) -10 (d) -10002 a What is the second smallest value in -0.2, 2/297, 10/33, -8/9, 21? -0.2 What is the fifth smallest value in 0.3, 0.8, 4/3, -0.06, 4, -4, 3.29? 4/3 Which is the third biggest value? (a) 0.1 (b) 227542 (c) -3 (d) -3/8 (e) -9 d What is the biggest value in 1.6, -2, -2169.09? 1.6 Which is the second smallest value? (a) 6/3023 (b) -10.31 (c) -1/11 c What is the biggest value in 2/5, -1/7, -4, 3/2, 2.8, -0.04, -1.1? 2.8 What is the biggest value in 1/80, -0.0683, 1.8, -2? 1.8 Which is the second smallest value? (a) 0.5 (b) -0.3 (c) -5 (d) 2.5705 (e) 33 b Which is the smallest value? (a) -1/5 (b) 2/15 (c) 44 (d) 0 (e) 5 (f) -0.3 (g) -1.2 g Which is the second biggest value? (a) 11.921 (b) -5 (c) 8 c Which is the smallest value? (a) 2 (b) -99/10646 (c) 463 b Which is the sixth smallest value? (a) -0.073 (b) 6 (c) 9 (d) 0.1 (e) -1 (f) 3/326 c Which is the third smallest value? (a) -0.7 (b) -0.1 (c) 0.2 (d) 0.1 (e) -1 (f) 4 (g) -178/17 a Which is the third biggest value? (a) -7 (b) 17.7 (c) 4 (d) -0.28 (e) 3 e Which is the sixth smallest value? (a) -1 (b) 0.4 (c) -1/7 (d) 2 (e) 1/3 (f) -583 (g) 3 d What is the seventh smallest value in -4, -2/15, 14, 6, -39, -3/4, -3? 14 Which is the second smallest value? (a) -2/13 (b) 39579 (c) -0.2 a Which is the fifth smallest value? (a) 26 (b) 1/4 (c) -10 (d) -9132 (e) -2 (f) 1/3 f Which is the fifth smallest value? (a) 2 (b) -1716/5 (c) 0.3 (d)
{ "pile_set_name": "DM Mathematics" }
j when four letters picked without replacement from {j: 1, n: 1, o: 1, u: 2, g: 5}. 1/504 Three letters picked without replacement from {s: 7, f: 1}. What is prob of sequence sss? 5/8 What is prob of sequence fffm when four letters picked without replacement from mmmmfmmfmmmmmfmffmmm? 5/646 What is prob of sequence zkq when three letters picked without replacement from {k: 5, q: 6, p: 1, z: 4}? 1/28 Two letters picked without replacement from {g: 2, j: 1, c: 2, w: 1, n: 1, o: 1}. What is prob of sequence wj? 1/56 Calculate prob of sequence vb when two letters picked without replacement from {v: 2, b: 3}. 3/10 Four letters picked without replacement from {p: 2, w: 2, b: 1, c: 6, a: 3}. Give prob of sequence caww. 3/2002 Calculate prob of sequence mkdl when four letters picked without replacement from ddjjkdklmddfjfj. 1/3276 Calculate prob of sequence mmv when three letters picked without replacement from {d: 1, v: 1, j: 2, y: 2, h: 2, m: 4}. 1/110 Two letters picked without replacement from wixxwixwixixi. Give prob of sequence wx. 5/52 Calculate prob of sequence ww when two letters picked without replacement from wuwozwwpzpwpowzopuw. 7/57 Two letters picked without replacement from mmczccnmznznnc. Give prob of sequence nz. 6/91 Two letters picked without replacement from gswsggegw. What is prob of sequence gw? 1/9 Two letters picked without replacement from wjjjwjjjwwjjwwjwwwjj. What is prob of sequence jw? 99/380 Four letters picked without replacement from {f: 1, y: 1, k: 2, v: 8, i: 6}. Give prob of sequence iiii. 1/204 What is prob of sequence bbfq when four letters picked without replacement from {u: 4, b: 3, f: 3, q: 10}? 1/646 What is prob of sequence qgpe when four letters picked without replacement from {p: 1, e: 4, f: 1, q: 1, g: 1}? 1/420 What is prob of sequence gt when two letters picked without replacement from cccdcgzccdztz? 1/156 Calculate prob of sequence ekg when three letters picked without replacement from jgeclkk. 1/105 Two letters picked without replacement from {u: 4, e: 2, o: 6, a: 3}. What is prob of sequence eo? 2/35 Two letters picked without replacement from ftt. Give prob of sequence tt. 1/3 Calculate prob of sequence zpz when three letters picked without replacement from zlplpzplkpppl. 1/143 Three letters picked without replacement from kjpjppkkpjjdjkpjdjj. Give prob of sequence jjj. 56/969 Calculate prob of sequence hwep when four letters picked without replacement from {h: 2, c: 1, e: 1, g: 1, p: 1, w: 2}. 1/420 Calculate prob of sequence aaaa when four letters picked without replacement from aaaaa. 1 Calculate prob of sequence yq when two letters picked without replacement from ddyyyqqyyydyyd. 8/91 What is prob of sequence iu when two letters picked without replacement from {u: 2, m: 6, q: 2, g: 1, i: 6}? 3/68 Four letters picked without replacement from {s: 7, j: 2, x: 8, b: 1, n: 1}. What is prob of sequence sbsx? 7/1938 Calculate prob of sequence vb when two letters picked without replacement from orrrrrrfrrrrvrbd. 1/240 Four letters picked without replacement from {d: 3, t: 5, i: 2}. Give prob of sequence iidd. 1/420 What is prob of sequence lxc when three letters picked without replacement from {x: 1, b: 1, l: 4, c: 3, f: 8}? 1/340 Calculate prob of sequence ecc when three letters picked without replacement from {e: 7, c: 4}. 14/165 What is prob of sequence pb when two letters picked without replacement from {k: 1, b: 1, s: 1, p: 1, l: 2, m: 1}? 1/42 Four letters picked without replacement from oouuoooouuo. Give prob of sequence oouu. 7/110 Three letters picked without replacement from mjzkzyyzzjzjt. What is prob of sequence zzy? 10/429 Three letters picked without replacement from kwmbb. Give prob of sequence mbb. 1/30 Calculate prob of sequence ww when two letters picked without replacement from {u: 2, w: 7}. 7/12 Three letters picked without replacement from bbbbyzgbzybbygzyy. Give prob of sequence ybz. 7/272 What is prob of sequence hah when three letters picked without replacement from {a: 1, t: 1, h: 2, k: 2}? 1/60 Two letters picked without replacement from rhwuw. What is prob of sequence wh? 1/10 Four letters picked without replacement from enqqnennennpxenqnnq. What is prob of sequence qqex? 1/1938 Four letters picked without replacement from {s: 4, j: 2, v: 1, f: 4, n: 3, x: 1}. What is prob of sequence fsjv? 4/4095 Two letters picked without replacement from {n: 4, p: 1, t: 5, z: 1, i: 3}. Give prob of sequence np. 2/91 What is prob of sequence tttw when four letters picked without replacement from twynryttywvv? 1/990 What is prob of sequence yxyg when four letters picked without replacement from rdyrgyxrrgrggrd? 1/4095 What is prob of sequence jly when three letters picked without replacement from {j: 1, m: 5, y: 5, l: 1}? 1/264 What is prob of sequence wnw when three letters picked without replacement from {p: 4, n: 6, w: 5}? 4/91 Four letters picked without replacement from {q: 1, g: 3, f: 11}. Give prob of sequence fgfg. 11/546 Three letters picked without replacement from {b: 1, v: 7}. What is prob of sequence vbv? 1/8 Two letters picked without replacement from dijlmik. Give prob of sequence jk. 1/42 What is prob of sequence fp when two letters picked without replacement from {p: 8, f: 5}? 10/39 Calculate prob of sequence nvj when three letters picked without replacement from jjvmnvjvjvnvjkmvn. 3/136 Three letters picked without replacement from tvktqoog. Give prob of sequence qkg. 1/336 Calculate prob of sequence jmm when three letters picked without replacement from {m: 4, j: 2}. 1/5 Calculate prob of sequence fn when two letters picked without replacement from {y: 2, h: 2, f: 6, j: 4, n: 1}. 1/35 Calculate prob of sequence xq when two letters picked without replacement from onaacqnnnaocxncon. 1/272 Calculate prob of sequence vhjp when four letters picked without replacement from {j: 3, p: 1, c: 1, h: 4, v: 8}. 1/595 Calculate prob of sequence eje when three letters picked without replacement from juejuju. 0 Two letters picked without replacement from uuuqrartruq. Give prob of sequence ar. 3/110 Two letters picked without replacement from {z: 5, k: 1, o: 1, i: 5, v: 5}. What is prob of sequence ko? 1/272 Three letters picked without replacement from {l: 2, r: 2}. What is prob of sequence rrl? 1/6 Four letters picked without replacement from bnbnxo. What is prob of sequence bxnn? 1/90 Calculate prob of sequence aav when three letters picked without replacement from avvva. 1/10 Two letters picked without replacement from {f: 8, m: 2, x: 2, t: 1, j: 2, v: 2}. What is prob of sequence ft? 1/34 Calculate prob of sequence zz when two letters picked without replacement from yzzyyzyyyyzyyy. 6/91 Three letters picked without replacement from guuugguuug. Give prob of sequence uug. 1/6 What is prob of sequence rerr when four letters picked without replacement from {x: 2, e: 1, b: 7, r: 4, g: 2}? 1/1820 What is prob of sequence jfl when three letters picked without replacement from {l: 2, j: 7, f: 2}? 14/495 Three letters picked without replacement from aavvvvv. Give prob of sequence vaa. 1/21 Two letters picked without replacement from {o: 3, n: 4, f: 9}. Give prob of sequence on. 1/20 Calculate prob of sequence jo when two letters picked without replacement from oyyzzozmyzzmzj. 1/91 What is prob of sequence vb when two letters picked without replacement from bvbbbbbbbbbbbbbbbbbv? 9/95 What is prob of sequence gn when two letters picked without replacement from nzddagkgaddzdddzdzgg? 1/95 Calculate prob of sequence grnr when four letters picked without replacement from {u: 1, q: 2, v: 4, g: 6, r: 2, n: 2}. 1/2380 Two letters picked without replacement from {g: 5, b: 5, k: 1, n: 1}. What is prob of sequence bg? 25/132 Calculate prob of sequence xs when two letters picked without replacement from {x: 4, s: 10}. 20/91 Two letters picked without replacement from ffajaajabaa. Give prob of sequence fb. 1/55 What is prob of sequence nv when two letters picked without replacement from {m: 4, v: 2, z: 1, n: 2, w: 1}? 2/45 Two letters picked without replacement from fcftfcfgfbbfbfggct. What is prob of sequence cf? 7/102 Three letters picked without replacement from {t: 1, r: 1, j: 4, z: 2, n: 4, b: 3}. Giv
{ "pile_set_name": "DM Mathematics" }
- 165*m**2 - 39*m = 0. What is m? -3/19 Factor 54/5*p**2 + 4/15*p**5 + 24*p**3 + 0 + 74/15*p**4 + 0*p. 2*p**2*(p + 9)**2*(2*p + 1)/15 Let h(c) be the second derivative of -c**5/40 - 7*c**4/36 - 17*c**3/36 - c**2/2 - 136*c. Factor h(t). -(t + 1)*(t + 3)*(3*t + 2)/6 Let g be 4 + 0*3/6. Suppose 4*b**5 + 5*b**3 + g*b**2 - 4*b**4 + b**3 - 3*b**3 - 7*b**3 = 0. What is b? -1, 0, 1 Let i(d) be the third derivative of 0*d + 0 - 19*d**2 + 0*d**3 + 13/288*d**4 - 1/720*d**5. Solve i(v) = 0 for v. 0, 13 Let q = 1681 + -5041/3. Find k, given that -2/3 - k**3 + k + q*k**2 = 0. -1, 2/3, 1 Let u = -10110 - -1213207/120. Let f(y) be the second derivative of 0*y**2 - 2*y - 1/8*y**4 - u*y**5 + 0 - 1/18*y**3. Factor f(b). -b*(b + 1)*(7*b + 2)/6 Suppose 9*b - 4*b - 40 = 0. Let o = -5 + b. Determine h so that -8*h**4 - 7*h**4 + o*h**5 - 3 + 9*h - 10*h**2 + 6*h - 20*h**2 + 30*h**3 = 0. 1 Let j = 463/4 - 2309/20. Let g(h) be the first derivative of -1/5*h + 7 - 1/5*h**3 - j*h**2 - 1/20*h**4. What is u in g(u) = 0? -1 Let o(y) be the first derivative of -1/24*y**6 - 1/16*y**4 + 0*y**2 + 0*y + 0*y**3 - 18 + 1/10*y**5. Factor o(x). -x**3*(x - 1)**2/4 Let m(o) = -2*o - 3. Let f(n) = -6*n - 9. Let q(c) = 4*f(c) - 11*m(c). Let a be q(-3). Solve -11*p**3 + 5*p**2 + p + p + 2*p**3 - a*p**3 = 0 for p. -1/4, 0, 2/3 Suppose 6*b + 0*b**4 + 2*b - 9*b**2 - 13*b + b**4 - 3*b**3 = 0. What is b? -1, 0, 5 Let y(a) = 8*a**4 - 56*a**3 - 128*a**2 - 68*a. Let x(n) = -9*n**4 + 55*n**3 + 127*n**2 + 68*n. Let b(c) = 4*x(c) + 5*y(c). What is k in b(k) = 0? -1, 0, 17 Let f be 4/10 - (-130)/50. Let s be (6/4)/f*10. Let -p + 28*p**2 + 6*p + 23*p**4 - 3*p**4 + 4*p**s + 3*p + 36*p**3 = 0. What is p? -2, -1, 0 Let p = 135/8 - 401/24. Let t(c) be the third derivative of -1/84*c**8 - 5*c**2 + 0*c**3 + 0*c + 0*c**5 - p*c**4 + 0 + 1/15*c**6 + 0*c**7. Factor t(n). -4*n*(n - 1)**2*(n + 1)**2 Let w(k) = k**3 + 6*k**2 - 3*k + 30. Let b be w(-7). Find r such that -4/7 - b*r**2 + 18/7*r = 0. 2/7, 1 Let g(c) = 78*c - 8. Let t be g(1). Suppose -9*i**3 + t*i**3 + 14*i**5 - 66*i**4 - 96*i + 80*i**2 - 2*i**3 + 5*i**3 - 32 = 0. Calculate i. -1, -2/7, 2 Factor -15/2*q**2 - 1/2*q**4 - 9/2*q**3 - 7/2*q + 0. -q*(q + 1)**2*(q + 7)/2 Suppose y = -5*u - 16, -3*u - 85 = 2*y - 81. Factor 0 - 2*l**y - 4/3*l - 1/3*l**5 - 13/3*l**3 - 4*l**2. -l*(l + 1)**2*(l + 2)**2/3 Suppose -2*z - 6 + 10 = 0. Let -53 + 2*u**3 + u**z + 53 - 3*u**2 = 0. What is u? 0, 1 Suppose 2*w = -w + 120. Solve -240*y + 6*y**2 + w*y**4 + 240*y + 30*y**3 - y**2 = 0. -1/2, -1/4, 0 Suppose m - 14*m**2 - m**3 + m**2 + 6*m**2 + 7*m**2 = 0. What is m? -1, 0, 1 Let g be (-5)/6*2408/(-1505). Solve -18*h**4 + 6*h**2 - g*h - 40/3*h**5 + 0 + 8/3*h**3 = 0. -1, 0, 1/4, 2/5 Factor 12/5*o**2 - 2/15*o**3 - 52/5 - 118/15*o. -2*(o - 13)*(o - 6)*(o + 1)/15 Let c be 1/(-1*(-2)/(-10)). Let a be (c - 1)/(10/(-5)). Suppose -10*x**3 - 21*x**4 - 12 - 48*x - 63*x**3 - 3*x**5 - 75*x**2 + 16*x**a = 0. What is x? -2, -1 Let v be 72/(-8)*42/(-35)*(-40)/(-36). Determine n so that 69/4*n**2 + 3 + 9/4*n**4 - 21/2*n**3 - v*n = 0. 2/3, 1, 2 Let p(y) be the third derivative of y**8/210 + 2*y**7/525 - 11*y**6/50 - 16*y**5/75 + 8*y**4/15 - 131*y**2. Let p(j) = 0. What is j? -4, -1, 0, 1/2, 4 Let h(k) be the second derivative of -k**5/10 + 8*k**4/3 - 5*k**3 + 3*k + 7. Determine b so that h(b) = 0. 0, 1, 15 Let c(y) be the first derivative of -y**6/90 + 2*y**5/15 - 2*y**4/3 + y**3/3 + 12. Let t(l) be the third derivative of c(l). Factor t(a). -4*(a - 2)**2 Let d(l) = l**2 + 5*l - 640. Let p be d(23). Let i(c) be the third derivative of -4*c**2 - 1/480*c**6 - 1/240*c**5 + 0 + 0*c + 0*c**3 + 0*c**p. Factor i(x). -x**2*(x + 1)/4 Let p = -461/20 + 774/5. Let q = -131 + p. Factor 1/2 + 1/4*w**2 + q*w. (w + 1)*(w + 2)/4 Let n = -25 - -11. Let q = 18 + n. Factor o**3 - 5*o**3 + q*o**5 + 0*o**3. 4*o**3*(o - 1)*(o + 1) Determine i so that -32/5*i**3 + 24/5 - 56/5*i**2 + 4*i + 12/5*i**5 + 32/5*i**4 = 0. -3, -1, -2/3, 1 Let 41*c**4 - 3*c**3 + 3*c - 4*c**4 + 6*c**4 - 82*c**2 + 39*c**2 = 0. Calculate c. -1, 0, 3/43, 1 Factor 24*s**5 + 3/2*s**2 + 0 + 0*s + 12*s**4 - 21/2*s**3. 3*s**2*(s + 1)*(4*s - 1)**2/2 Let u(i) = i**3 + 8*i**2 + 3. Let a be u(-8). Factor -7*f - f**5 + 7*f - 2*f**a + 2*f**4 + f**4. -f**3*(f - 2)*(f - 1) Suppose 3*i = 4*i - 14. Suppose 28 + i = 3*f. What is y in -2*y - f + 3*y**3 - y**2 + 14 = 0? -2/3, 0, 1 Let q(p) = -3*p**2 - 99*p + 102. Let x(y) = 6*y**2 + 198*y - 204. Let v(s) = 11*q(s) + 6*x(s). Suppose v(l) = 0. What is l? -34, 1 Factor -1/4*b**2 + 5*b - 3 - 3/4*b**3. -(b - 2)*(b + 3)*(3*b - 2)/4 Let r(g) = -g. Let y(a) = 2*a**2 - 14*a + 50 - 13*a + 3*a. Let p(k) = -4*r(k) + y(k). Solve p(j) = 0. 5 Let j(c) be the third derivative of -c**5/140 - 5*c**4/24 + 2*c**3/7 - 109*c**2 - 2. Solve j(l) = 0 for l. -12, 1/3 Let l be (-9)/(2/((-304)/(-12))). Let y = l - -160. Solve w**4 - 4*w - 42*w**5 + y*w**5 + 4*w = 0 for w. -1/4, 0 Factor 416/7 + 240/7*j + 6*j**2 + 2/7*j**3. 2*(j + 4)**2*(j + 13)/7 Let a(x) = -16*x**5 - 21*x**4 + 7*x**3 - 13*x**2 - 6*x - 11. Let f(l) = -l**5 - l**4 + l**3 - l**2 - l - 1. Let q(r) = -4*a(r) + 60*f(r). Factor q(c). 4*(c - 1)*(c + 1)**3*(c + 4) Let g = 2/13 - 72/637. Let x = g - -88/245. Factor -x*v**3 + 2/5*v**4 + 0*v**2 + 0 + 0*v. 2*v**3*(v - 1)/5 Let h(g) = g**3 - g - 1. Let s be h(2). Suppose 3*q + 2*q + 5 = -5*j, 4*q = 2*j + 14. Factor w**5 - 3*w**s + 6*w**4 - q*w + 2*w - 4*w**3. -2*w**3*(w - 2)*(w - 1) Let a(p) be the second derivative of -p**6/240 - p**5/80 + 5*p**3/3 - 9*p. Let v(m) be the second derivative of a(m). Factor v(s). -3*s*(s + 1)/2 Let u(x) be the first derivative of -5*x**8/336 + x**7/14 - x**6/12 + 13*x**2/2 - 6. Let b(z) be the second derivative of u(z). Determine t so that b(t) = 0. 0, 1, 2 Let i(y) = -10*y**2 - 17*y - 6. Let a be (-95)/38*16/10. Let v(n) = -12*n**2 - 18*n - 6. Let m(t) = a*i(t) + 3*v(t). Find f such that m(f) = 0. -3, -1/2 Let g(q) be the first derivative of -q**6/2160 - q**5/90 - q**4/9 - 5*q**3/3 + 18. Let b(z) be the third derivative of g(z). Factor b(s). -(s + 4)**2/6 Let h(i) be the third derivative of -3*i**7/280 + i**6/120 + i**5/2 + 3*i**4/2 - 35*i**3/6 + 33*i**2. Let g(s) be the first derivative of h(s). Factor g(c). -3*(c - 3)*(c + 2)*(3*c + 2) Let b be (-9 + 4 - -12) + -4 + -3. Suppose 1/5*o**4 + 2/5*o - 3/5*o**2 + b*o**3 + 0 = 0. What is o? -2, 0, 1 Let m(c) be the third derivative of c**7/735 - 199*c**6/420 + 2211*c**5/35 - 25047*c**4/7 + 95832*c**3/7 - 290*c**2. Find k such that m(k) = 0. 1, 66 Let p = 16910/6339 - 2/2113. Factor 4*j + 8/3 - p*j**2. -4*(j - 2)*(2*j + 1)/3 Let a(s) = 5*s + 12. Let c(n) = 14*n + 37. Let p(f) = -11*a(f) + 4*c(f). Let u be p(-8). Factor 16*g**4 + 20 - 20*g**2 + 10*g**5 - 2*g - u*g**3 - 3 - 13. 2*(g - 1)*(g + 1)**3*(5*g - 2) Let b(j) be the second derivative of j**7/14 - 113*j**6/10 + 84*j**5/5 + 594*j. Factor b(h). 3*h**3*(h - 112)*(h - 1) Let -88/7*l - 48/7 + 2*l**3 - 36/7*l**2 + 2/7*l**5 + 12/7*l**4 = 0. What is l? -3, -2, -1, 2 Factor 2/3*t**3 + 1/3*t**2 - 3/2 - 2*t - 1/6*t**4. -(t - 3)**2*(t + 1)**2/6 Let v(i) be the third derivative of 0*i + 1/120*i**6 - 1/24*i**4 + 1/420*i**7 + 0*i**3 - 17*i**2 + 0 - 1/120*i**5. Factor v(h). h*(h - 1)*(h + 1)*(h + 2)/2 Let s = 732800 - 589903829/805. Let h = s + -2/161. Solve 1/5*j - h - 1/5*j**3 + 1/5*j**2 = 0 for j. -1, 1 Let f = -110/29 - -2866/725. Let j(h) be the first derivative of 4/15*h**3 - 3 - f*h**5 + 1/5*h**2 + 0*h + 0*h**4 - 1/15*h**6. Factor j(l). -2*l*(l - 1)*(l + 1)**3/5 Let o = 9958 + -9958. What is p in 0 + 2/15*p**4 + 2/15*p**2 - 4/15*p**3 + o*p = 0? 0, 1 Let s = 848 + -5934/7. Factor -10/7*m + s + 18/7*m**2 - 2*m**3 + 4/7*m**4. 2*(m - 1)**3*(2*m - 1)/7 Factor -17/3*z + 7/3*z**2 + 2. (z - 2)*(7*z - 3)/3 Let o(t) = -t**3 - 2*t**2 + 3*t + 5. Let g be o(-5). Solve 0*p**2 + 60*p + 5*p**2 - g*p = 0 for p. 0, 1 Let q = 1889/180 + -94/9. Let j(l) be the third derivative of 0*l + 0*l**3 + q*l**5 - 1/70*l**7 + 1/4*l**4 - 1/20*l**6 + 0 - 4*l**2. Factor j(b). -3*b*(b - 1)*(b + 1)*(b + 2) Determine q, given that -5*q**3 - 141*q - 142*q**2 + 0*q**3 + 127*q - 7*q**3 - 8*q**3 = 0. -7, -1/10, 0 Let k(a) = 3*a**2 - 20*a + 29. Let t(p) = -11*p - 50. Let x be t(-7). Let u(m) = 39*m**2 - 261*m + 378. Let f(l) = x*k(l) - 2*u(l). Solve
{ "pile_set_name": "DM Mathematics" }
a) 0.12339 (b) 233 (c) 5 b What is the biggest value in -89/7, 3213, -0.5? 3213 What is the smallest value in -1322, -1, -2/13, 4, -5.2? -1322 What is the fifth smallest value in -406, 2/9, -1/3, 1, 4/45? 1 What is the second smallest value in 1/5, 1/18, -0.03, 0.3, 1/10, 13/4? 1/18 Which is the sixth smallest value? (a) 2/13 (b) -4 (c) 0.2 (d) -1859 (e) -6 (f) -3/8 (g) -9/7 a Which is the biggest value? (a) -6 (b) 8 (c) 0.6 (d) -0.030093 b Which is the second biggest value? (a) -0.1 (b) 3/251 (c) 26 b What is the fourth smallest value in 1/3, 4, 6, 1/2, 384, 7, 2/19? 4 Which is the sixth smallest value? (a) -4.3 (b) -1 (c) -2 (d) 4 (e) 2/13 (f) -16132 d Which is the biggest value? (a) 5/8 (b) -2/7 (c) 2 (d) -690 (e) -15 c Which is the fifth smallest value? (a) -2 (b) 0 (c) -3 (d) 1 (e) 2/107593 (f) -1/7 e What is the second biggest value in -3688, 0, 2756? 0 Which is the third smallest value? (a) -0.2 (b) -575 (c) 15 (d) 118 c Which is the second biggest value? (a) -205 (b) 0.101 (c) -3/16 c Which is the sixth smallest value? (a) 2 (b) 0.2 (c) 2/9 (d) -1202 (e) 13 (f) 8 e What is the third biggest value in -3, 5/4, 66, -10/229, 19? 5/4 What is the second smallest value in -8, 0, 10, -1, 26? -1 What is the second smallest value in 1/3, -0.01, 594/43, 0, 6/23? 0 Which is the third biggest value? (a) -1373 (b) 19 (c) 4 (d) -433 (e) -0.5 e What is the fifth biggest value in 4, -12, -12754, 5/2, 5, -2/5? -12 What is the third smallest value in 3, -0.02, -2.2, 1/52, -2/9, 0.09? -0.02 Which is the sixth biggest value? (a) 9 (b) -62/11 (c) 4/9 (d) -2 (e) -5 (f) 15 (g) -0.12 e What is the fourth smallest value in 8, -1, 2, -31817? 8 Which is the second biggest value? (a) 0.3 (b) 15.65 (c) 64/27 c Which is the second smallest value? (a) 31 (b) 0.08 (c) 3873 a Which is the second biggest value? (a) -3 (b) -16/7 (c) 132191 (d) -5 b What is the third biggest value in -3/7, 34, 2, -2/1501, 7, -1, 0? 2 What is the fourth smallest value in 14336, 5, 0.5, 3, 0.02? 5 What is the fourth smallest value in -14, 4, 2/9, -2, -0.3, -49318? -0.3 Which is the third biggest value? (a) -3925 (b) 2/15 (c) 4 (d) -28 (e) -4 (f) 1 b What is the smallest value in -40, -0.2, -1, 5, -617410? -617410 What is the fourth biggest value in 6/5, -0.4, -0.2, 2/3, 208/137? -0.2 What is the smallest value in -107.18, -0.1, -18.1? -107.18 What is the fifth biggest value in -6/5, -0.9, -0.11, 3/8, -1/8, -0.5? -0.9 Which is the biggest value? (a) -3/1486 (b) -47 (c) -0.3 a What is the third smallest value in 5, 43.3, -2/1629, 0.4, 4? 4 Which is the fourth biggest value? (a) 4/11 (b) -0.3 (c) 5/12 (d) -2 (e) 7/2 b Which is the second smallest value? (a) 2065 (b) -66 (c) -103 b Which is the fifth smallest value? (a) 0.25 (b) 6700 (c) 3/38 (d) 1/7 (e) 0.5 b Which is the fourth smallest value? (a) 0.2 (b) 11/70 (c) -2/7 (d) 13 (e) 3/4 (f) -1 a What is the smallest value in 0, 2/25, -817, -0.382? -817 Which is the sixth biggest value? (a) -5 (b) 3 (c) 4 (d) 0.1 (e) 14 (f) 45 (g) -1/13 g Which is the second smallest value? (a) -2 (b) 1057/32 (c) -3 (d) 0.4 (e) -5 c What is the third smallest value in 28, 0.3, 0, -8, 24? 0.3 Which is the fourth biggest value? (a) -0.1 (b) 0.13 (c) -942 (d) 0 (e) 1/5 (f) 6 (g) 3/28 g What is the second biggest value in -4, 5, 1427, -9, 0.24? 5 What is the third biggest value in -412680, 36, -1/4? -412680 Which is the fourth biggest value? (a) 6/13 (b) 11 (c) 9/30229 (d) -1/6 d What is the fourth biggest value in -3, 161, -1/20, 817? -3 What is the second smallest value in -2/409, -101, -0.0172? -0.0172 Which is the third biggest value? (a) -5 (b) 4 (c) 17 (d) -4 (e) 0.09 (f) -2/131 e Which is the smallest value? (a) 234 (b) 10 (c) 9/89 (d) 7 c Which is the biggest value? (a) -2.31 (b) 1 (c) -2 (d) -1 (e) -3 (f) -46.6 (g) 4 g Which is the fourth smallest value? (a) 18/139 (b) 4 (c) -1/200 (d) 21 d What is the smallest value in -3, -0.1, 0.1, -57, 11/295, 2? -57 Which is the second biggest value? (a) -4 (b) 5/2 (c) -11 (d) -0.2 (e) 949 b Which is the sixth biggest value? (a) 0.094 (b) 5 (c) 2 (d) 2/3 (e) 70 (f) -4/9 (g) 0 g What is the fourth biggest value in -14009, 0.2, 0.664, -0.4? -14009 Which is the biggest value? (a) 599 (b) -20/139 (c) 4 a What is the third biggest value in -0.5, -2/3, 0.4, 2/183, -3.2, 404/3? 2/183 What is the third biggest value in 0.1, -183, -3, -92? -92 Which is the third smallest value? (a) 33361/3 (b) 1 (c) 0.8 (d) 3/7 b Which is the third smallest value? (a) -34.1 (b) 78/25 (c) -4 b What is the smallest value in -0.27, -5, -4, -74, 0, -1? -74 What is the fourth smallest value in 0.348, -2, -3/5, -7, -17.6? -3/5 What is the third biggest value in -5, -0.059, 2, 2/7, 0.035, -1/4? 0.035 What is the fourth biggest value in 475, 6/5, 1/13, -0.17, 1, 0.2? 0.2 What is the third biggest value in 55, 1191, 2/5, -2.45? 2/5 Which is the fourth smallest value? (a) -79 (b) -0.2 (c) -5 (d) -1 (e) 15 b What is the third smallest value in -3, 2/77, -0.12, -13, 4/5, -2615? -3 What is the fourth biggest value in 4, -151, -2/13, -4, -44, 0.4, 1/5? -2/13 What is the second biggest value in -7, -3/2, 2026, -0.2, -0.3, -0.4? -0.2 Which is the fifth biggest value? (a) -2/15 (b) 11.6 (c) -0.11 (d) 1 (e) 8 a What is the third biggest value in -77.2, -1/4, 194/25, -3/7? -3/7 Which is the smallest value? (a) 42084 (b) 174 (c) 0.1 c Which is the third smallest value? (a) -5 (b) 282 (c) -3595 b Which is the third biggest value? (a) 60.17 (b) 0.5 (c) 0.049 c What is the seventh smallest value in -2, -59, -2412, 1, -6, -1/4, 0.2? 1 What is the fourth smallest value in 0.58316, 1.38, 0.2, 0.4? 1.38 Which is the fourth biggest value? (a) -457899 (b) 0.2 (c) -1/4 (d) 0.5 (e) 1.9 c Which is the second smallest value? (a) -31/4 (b) 4 (c) -4 (d) 16 (e) 11 (f) -1 c What is the fourth biggest value in 111, 0.2, -2380, -4, -0.5? -4 Which is the third biggest value? (a) 1 (b) -55082 (c) 4 (d) 0.02 d What is the second smallest value in -2/119, -1, 0.6, -2.3, -2/11, -1/10? -1 What is the third biggest value in 69, -10, -9/3052? -10 Which is the third smallest value? (a) -0.34 (b) -0.3 (c) 2/19 (d) 0.25 (e) 3 (f) 2/37 f What is the second biggest value in -1/13, -4.6, 359/3, -21, 4/9? 4/9 Which is the second smallest value? (a) 0.22 (b) -4/33 (c) 2/13 (d) 0.6 (e) 0.4 (f) 0.8 c Which is the second biggest value? (a) -1558561 (b) 6 (c) 2/9 c Which is the fourth biggest value? (a) 19 (b) -4/5 (c) -25 (d) -5 (e) -15 (f) -2/9 d Which is the biggest value? (a) -1.9970707 (b) -2/17 (c) 5 c What is the fifth smallest value in 0.4, -0.3, 681230, 0.1, -10/9, 5? 5 What is the biggest value in -1, -1/359, -1/3, -1/10, -0.07? -1/359 What is the fourth biggest value in 0.041, -0.4, -0.3, -3, -5, -0.2, 1/40? -0.3 What is the second smallest value in -27, 0.71146, -2/7? -2/7 What is the second smallest value in 1/5, -3/7, -38050, 4, -2/13, 7, 2/3? -3/7 What is the fourth smallest value in 0.2, 14/11, -99932, -0.1? 14/11 Which is the second smallest value? (a) 14/47 (b) 4/13 (c) 11409 b Which is the biggest value? (a) -2/11 (b) -0.69 (c) 20.71 (d) -2/7 c Which is the biggest value? (a) 2728 (b) 0.1 (c) 1 (d) -1/4 (e) -11 a What is the smallest value in -0.3, 1/3, -5, 12/319, -1, -2? -5 Which is the third biggest value? (a) 0.05 (b) -114 (c) 0.1 (d) -307 b What is the second smallest value in -27/26, -0.1, 0, -4, -1.29? -1.29 Which is the third smallest value? (a) 2 (b) -34 (c) 4302.8 (d) -5 a Which is the biggest value? (a) 1 (b) -7251 (c) 0.08 (d) 1/4 (e) -1 (f) 0.3 (g) 1/43 a Which is the second biggest value? (a) -44 (b) 63 (c) 31.69 (d) -1/4 (e) 0.5 c What is the fourth biggest value in -0.4, -9, -0.1, 11478/11, -11? -9 Which is the biggest value? (a) 2 (b) -1/47 (c) -1.886 (d) 286 d Which is the fifth smallest value? (a) -14 (b) -0.5 (c) -5 (d) 13 (e) -2/10083 d Which is the fourth biggest value? (a) -0.1 (b) 0.1 (c) -2/3 (d) 1/7 (e) 0 (f) -13/515 (g) -0.31 f What is the smallest value in 2, -629, 2/35, -7? -629 Which is
{ "pile_set_name": "DM Mathematics" }
prob of picking 2 q. 1/66 What is prob of picking 3 k and 1 r when four letters picked without replacement from rkkrrrrrkkkr? 14/99 Calculate prob of picking 2 i and 1 k when three letters picked without replacement from {i: 7, k: 7}. 21/52 Four letters picked without replacement from {a: 6, d: 13}. Give prob of picking 1 d and 3 a. 65/969 Two letters picked without replacement from {d: 2, r: 9, o: 6}. What is prob of picking 1 r and 1 d? 9/68 What is prob of picking 1 h and 2 z when three letters picked without replacement from hhfzfzyfzyzzhzfzzzz? 45/323 Four letters picked without replacement from {e: 5, t: 2, d: 1, h: 5, j: 1, r: 1}. Give prob of picking 1 r, 1 d, and 2 h. 2/273 Calculate prob of picking 2 y when two letters picked without replacement from yygyyyyyyyyg. 15/22 Two letters picked without replacement from {q: 10, g: 4, b: 1, c: 1, p: 2}. Give prob of picking 1 q and 1 p. 20/153 Calculate prob of picking 1 n, 1 e, and 1 c when three letters picked without replacement from {e: 1, a: 1, c: 3, w: 3, p: 1, n: 2}. 2/55 Calculate prob of picking 1 f, 1 l, and 1 e when three letters picked without replacement from {h: 1, z: 1, l: 1, e: 1, f: 1}. 1/10 Four letters picked without replacement from {u: 10}. What is prob of picking 4 u? 1 Two letters picked without replacement from eiinnnnnennnnnn. Give prob of picking 1 e and 1 i. 4/105 Calculate prob of picking 1 m, 1 b, and 2 i when four letters picked without replacement from {c: 1, i: 7, a: 2, m: 8, b: 1}. 14/323 Three letters picked without replacement from {n: 3, h: 5, r: 5}. Give prob of picking 3 n. 1/286 What is prob of picking 2 c when two letters picked without replacement from lclccclllg? 2/15 What is prob of picking 3 y and 1 m when four letters picked without replacement from myyyyym? 4/7 Calculate prob of picking 1 c and 1 k when two letters picked without replacement from ccknfwc. 1/7 What is prob of picking 4 g when four letters picked without replacement from {g: 4}? 1 Three letters picked without replacement from lmyclmj. What is prob of picking 1 l, 1 j, and 1 c? 2/35 Two letters picked without replacement from tmqqqyjq. What is prob of picking 1 m and 1 t? 1/28 Three letters picked without replacement from {b: 3, n: 2, g: 4}. Give prob of picking 1 g and 2 n. 1/21 Calculate prob of picking 1 u, 1 m, and 2 f when four letters picked without replacement from {u: 7, m: 1, h: 1, o: 1, f: 9, i: 1}. 84/1615 Three letters picked without replacement from ekkkee. What is prob of picking 1 e and 2 k? 9/20 Two letters picked without replacement from {n: 1, f: 2, m: 1, u: 1}. Give prob of picking 1 f and 1 n. 1/5 Two letters picked without replacement from {s: 1, k: 1, n: 1, c: 1, i: 1}. Give prob of picking 1 i and 1 s. 1/10 What is prob of picking 1 m, 1 q, and 1 a when three letters picked without replacement from pabbbbpapmq? 2/165 What is prob of picking 3 m and 1 q when four letters picked without replacement from bmbbqbmqbmbmqbbbqbq? 5/969 Three letters picked without replacement from ugghhggfhfuhhhuhq. Give prob of picking 2 u and 1 h. 21/680 Calculate prob of picking 2 j when two letters picked without replacement from ffynyyiyjjnnny. 1/91 What is prob of picking 2 y and 2 w when four letters picked without replacement from {y: 7, w: 5}? 14/33 Calculate prob of picking 1 n, 1 s, and 1 y when three letters picked without replacement from {y: 7, s: 9, n: 3}. 63/323 Two letters picked without replacement from ueeueeeuuu. Give prob of picking 2 u. 2/9 Two letters picked without replacement from fffoof. What is prob of picking 2 o? 1/15 Two letters picked without replacement from {s: 1, t: 2, y: 1}. What is prob of picking 2 s? 0 Three letters picked without replacement from scssssss. Give prob of picking 1 c and 2 s. 3/8 What is prob of picking 4 b when four letters picked without replacement from dddddbdddddddddddddd? 0 Two letters picked without replacement from {y: 1, p: 1, n: 3}. What is prob of picking 2 n? 3/10 Calculate prob of picking 4 l when four letters picked without replacement from lllululull. 1/6 Two letters picked without replacement from wssbsswszbzbb. Give prob of picking 2 z. 1/78 What is prob of picking 2 c when two letters picked without replacement from fcqfqqqcffqc? 1/22 Four letters picked without replacement from upuupuuuupuuuuppuuu. Give prob of picking 2 p and 2 u. 455/1938 Two letters picked without replacement from chhmhhme. Give prob of picking 2 m. 1/28 Four letters picked without replacement from {b: 1, v: 4, o: 1, w: 1, u: 1}. What is prob of picking 1 v, 1 b, 1 o, and 1 w? 2/35 What is prob of picking 2 s when two letters picked without replacement from {s: 2, u: 8}? 1/45 Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {s: 3, e: 2, b: 8, l: 3}. 1/5 What is prob of picking 1 l and 1 k when two letters picked without replacement from bbblkbjbkbql? 2/33 Calculate prob of picking 1 e, 1 a, and 1 z when three letters picked without replacement from {m: 1, e: 1, a: 2, z: 1, r: 1, n: 1}. 2/35 Three letters picked without replacement from {a: 2, z: 1, i: 2, h: 14}. Give prob of picking 3 h. 364/969 What is prob of picking 2 d when two letters picked without replacement from {u: 1, d: 2}? 1/3 What is prob of picking 1 o, 1 u, and 1 k when three letters picked without replacement from cmuooku? 4/35 What is prob of picking 2 a and 2 s when four letters picked without replacement from {a: 3, s: 2, x: 3}? 3/70 Two letters picked without replacement from qfqqpfvfqp. What is prob of picking 1 p and 1 v? 2/45 Calculate prob of picking 3 i when three letters picked without replacement from {e: 7, i: 5}. 1/22 Two letters picked without replacement from csec. Give prob of picking 2 c. 1/6 Three letters picked without replacement from {n: 4, b: 2, e: 1}. Give prob of picking 3 n. 4/35 Four letters picked without replacement from ddtbtdtddbbdb. Give prob of picking 1 b and 3 t. 4/715 Calculate prob of picking 2 f when two letters picked without replacement from {f: 6}. 1 Calculate prob of picking 1 a and 2 n when three letters picked without replacement from {r: 2, a: 8, n: 4, e: 2}. 3/35 What is prob of picking 3 k when three letters picked without replacement from {g: 7, k: 6, f: 2}? 4/91 Three letters picked without replacement from aaaaaaeaaea. Give prob of picking 3 a. 28/55 Three letters picked without replacement from {h: 4, q: 6, m: 2, z: 6}. What is prob of picking 1 h, 1 q, and 1 z? 3/17 What is prob of picking 1 n, 2 u, and 1 f when four letters picked without replacement from {u: 4, f: 1, n: 2}? 12/35 Four letters picked without replacement from fsffs. What is prob of picking 3 f and 1 s? 2/5 What is prob of picking 3 x when three letters picked without replacement from xxx? 1 Calculate prob of picking 2 m when two letters picked without replacement from dumtrtm. 1/21 Four letters picked without replacement from jjjrjjjjjrjjjjjjjj. Give prob of picking 3 j and 1 r. 56/153 What is prob of picking 1 z and 1 c when two letters picked without replacement from {z: 5, c: 2}? 10/21 What is prob of picking 1 y and 3 v when four letters picked without replacement from {x: 6, o: 8, v: 3, y: 1}? 1/3060 Calculate prob of picking 1 k and 2 a when three letters picked without replacement from kkkkfkkkkakkkk. 0 Three letters picked without replacement from uuauuaauuauaauua. Give prob of picking 3 a. 1/16 Two letters picked without replacement from zukhvkl. What is prob of picking 1 u and 1 z? 1/21 Calculate prob of picking 3 r when three letters picked without replacement from {t: 1, w: 1, r: 3}. 1/10 Calculate prob of picking 2 e, 1 p, and 1 m when four letters picked without replacement from eemppmmmpmpmeee. 16/91 Three letters picked without replacement from {u: 3, a: 9}. What is prob of picking 1 u and 2 a? 27/55 Three letters picked without replacement from vmvaavavv. What is prob of picking 3 v? 5/42 Calculate prob of picking 1 m, 1 n, and 2 d when four letters picked without replacement from nlqdm. 0 Three letters picked without replacement from bbzbbbbz. What is prob of picking 2 z and 1 b? 3/28 What is prob of picking 1 r and 2 y when three letters picked without replacement from rryyryryrryrr? 40/143 Two letter
{ "pile_set_name": "DM Mathematics" }
hich is smaller: -1/484 or -0.1? -0.1 Is -8480 at most as big as 2/3? True Are -5 and -70/11 unequal? True Which is smaller: 1/627 or 0? 0 Are -1 and 1/408 nonequal? True Is 1341 <= 0? False Which is bigger: -592 or -591? -591 Is -151 >= -150? False Which is greater: -0.32 or -0.069? -0.069 Is -6026 != -6027? True Which is bigger: 2333 or 2335? 2335 Which is smaller: 2/7 or -3/118? -3/118 Is 0 at most -6/25? False Are -0.3877 and 0.3 unequal? True Is 3 greater than 83/35? True Does -89 = -101? False Is 1 less than or equal to 62/39? True Which is smaller: -1 or -6/689? -1 Is 203 < 1017/5? True Is 134 at least as big as 172? False Is -2043 smaller than -2042? True Which is smaller: 1 or 1/332? 1/332 Which is bigger: 417 or 420? 420 Is 3658 greater than 3659? False Do -2734 and -2733 have different values? True Which is bigger: 56 or 3? 56 Do 14660 and 14660 have different values? False Which is greater: -6 or 6248? 6248 Is 0 >= 2/881? False Which is bigger: -2 or 13? 13 Which is smaller: 164 or 41? 41 Which is bigger: -248/19 or -12? -12 Which is bigger: -6/13 or -11.12? -6/13 Are 103 and 131 equal? False Which is smaller: -86 or -87? -87 Which is greater: 2/29 or 11/36? 11/36 Which is greater: 9582 or 9583? 9583 Is 990 equal to 992? False Do 0.6 and 381 have the same value? False Which is smaller: -1 or -3/866? -1 Which is bigger: -22 or -1098/49? -22 Which is smaller: -86 or -98? -98 Is 302 at least as big as 303? False Which is smaller: 0 or -10/123? -10/123 Which is smaller: -6/2947 or 0? -6/2947 Is 126/11 at least -1? True Which is smaller: -89 or -30? -89 Does 17 = -0.568? False Which is bigger: -23 or 361? 361 Which is smaller: -1/616 or 0? -1/616 Is 0.1 at most 12827? True Which is bigger: -15/851 or -1? -15/851 Which is bigger: -55/7 or 41/4? 41/4 Do 2963 and 2970 have the same value? False Which is greater: -0.08 or 76? 76 Do -228 and -223 have the same value? False Is 3457 greater than 3454? True Which is smaller: 69 or 39? 39 Which is bigger: -1805 or -1804? -1804 Is -143 equal to -141? False Which is bigger: -481 or -480? -480 Which is smaller: -11 or 197? -11 Is 8/55 > 0? True Is -11 less than or equal to -13? False Is -1028/7 < -148? False Which is smaller: -37 or -38? -38 Which is bigger: -13/2323 or 1? 1 Which is smaller: -49 or -8? -49 Does 2 = 58/11? False Is -4.2 >= -3? False Which is smaller: 2/5 or -15? -15 Is 37 <= 0.22? False Which is smaller: 0 or -3/190? -3/190 Is -211 bigger than -211? False Which is smaller: 86/33 or 3? 86/33 Does 2/51871 = 0? False Is -10735 <= -10732? True Do 0 and -22/409 have different values? True Are 33/1516 and 1 non-equal? True Which is bigger: -1/2 or -119/3? -1/2 Which is bigger: -1 or -1/448? -1/448 Which is greater: -25 or -14? -14 Which is smaller: 1 or 53? 1 Are 14 and 13 equal? False Is -255/4 at most as big as 0.1? True Which is smaller: 12373 or 24743/2? 24743/2 Is 1153 smaller than 14970/13? False Is -11/52 > 1? False Are 2/5 and -162 non-equal? True Which is smaller: 211 or 2/3? 2/3 Which is bigger: 6 or 46? 46 Is 1.27 bigger than -2/35? True Is -1.2 less than -287? False Which is smaller: 189 or 185? 185 Is -0.037 < 55? True Is -560 equal to -557? False Which is greater: -9/65 or 0? 0 Is 20 at least 3/4? True Which is bigger: -0.1 or 0.389? 0.389 Is -1731 != -3461/2? True Which is bigger: 752 or 753? 753 Which is smaller: -7964/5 or -1592? -7964/5 Is 1327.1 greater than -1/2? True Is 42 > 42? False Is -130 less than or equal to -192? False Which is bigger: -22 or -48? -22 Which is greater: -2/383 or 1? 1 Does -1 = -8? False Which is greater: -9 or -7? -7 Is -75 greater than -77? True Which is smaller: 364 or 380? 364 Which is smaller: 14/1413 or 0? 0 Which is bigger: 1024/9 or 115? 115 Which is greater: -1 or -6? -1 Is -0.05 > 3? False Which is smaller: -46 or -48? -48 Is -586 equal to -585? False Which is smaller: 8 or -2.8? -2.8 Which is smaller: -0.3 or 128? -0.3 Is -352 equal to -353? False Are 76 and -4 non-equal? True Which is greater: 4/869 or 1? 1 Which is smaller: -378 or -371? -378 Which is smaller: 596 or 597? 596 Which is greater: -1/3 or -2766? -1/3 Which is smaller: 1 or -28808? -28808 Which is bigger: -0.2 or -3/49? -3/49 Are 1 and -2/465 equal? False Is 2/429 smaller than 39? True Which is greater: 1 or 180? 180 Which is smaller: -33 or -13? -33 Which is smaller: -1 or 2/45217? -1 Do 491 and 484 have different values? True Which is smaller: -1644 or -1643? -1644 Which is smaller: -4996 or -4995? -4996 Is -2/59 equal to -17? False Does 2/29 = 0? False Is -6/11 at most -896? False Which is bigger: 133 or 131? 133 Do 0 and -1/800 have the same value? False Is 1 at least 103/64? False Which is bigger: -1393 or -1395? -1393 Is -896 equal to -896? True Is -1520 less than 1? True Which is bigger: -2/9 or -159? -2/9 Is 415 less than 453? True Is 1/6 at most as big as 71? True Which is smaller: 12 or 118/9? 12 Is -1 at most as big as -3/94? True Is -78 smaller than -68? True Is -54 > 0.8? False Is -356 greater than -365? True Are -81 and -95 unequal? True Which is smaller: 32118 or 32119? 32118 Does 80 = 81? False Which is greater: -0.5 or 2.13? 2.13 Which is smaller: -2/5 or -103? -103 Are -2.08 and -2 equal? False Is -2260 >= -2258? False Which is bigger: 1382 or 1379? 1382 Is -11/118 less than or equal to -1? False Which is smaller: -17 or -145/9? -17 Which is smaller: 151 or 153? 151 Is -6/11 < 0.2? True Is -11/21 <= -2? False Which is bigger: 37 or 40? 40 Is 1804/13 > 139? False Does 79 = 71? False Which is greater: -3 or -0.12223? -0.12223 Is -124 at most as big as 1? True Which is bigger: 0.5 or -0.156? 0.5 Which is greater: -1/16769 or 1? 1 Are 4 and 82/15 unequal? True Which is smaller: 0.0916 or 0? 0 Is 186 bigger than 190? False Is -7 at least 1? False Which is smaller: 3/7 or -48? -48 Which is bigger: -3 or -64/33? -64/33 Which is smaller: 10 or -1? -1 Which is smaller: 36.1 or 0? 0 Which is smaller: -43 or -48? -48 Is 0 at most as big as 4/15? True Is 4 greater than 8? False Which is greater: -8 or -3492? -8 Which is bigger: 9071 or 9072? 9072 Which is greater: 45 or 232/5? 232/5 Which is smaller: 77 or -72? -72 Which is bigger: -2 or -16/5? -2 Which is bigger: 0.2 or -8424? 0.2 Which is smaller: 19 or -184? -184 Is 1/299 at most -1? False Which is smaller: 3/28 or 0? 0 Is -102 > -96? False Is 4446/5 at most as big as 889? False Is 2/11 bigger than 0.19? False Is 0.54 at least -2? True Is 2/5 not equal to -1? True Which is smaller: -19 or -13? -19 Are -1 and -2/85201 equal? False Is -9 < 607? True Which is bigger: -1.348 or 3/11? 3/11 Is -99 != -91? True Which is smaller: 5 or -312? -312 Is -80 greater than -78? False Which is greater: 18490 or 18491? 18491 Which is greater: 0.1 or -225/4? 0.1 Which is bigger: 69 or 87? 87 Which is smaller: -156 or -22? -156 Which is smaller: 25/3 or 9? 25/3 Which is smaller: -2/641 or -1? -1 Which is smaller: -0.83 or -0.5? -0.83 Is -2 > -80? True Which is greater: -1009 or -1008? -1008 Is -0.1 less than 404? True Is -25 >= -31? True Which is bigger: 1 or -1/257? 1 Which is smaller: 10/21 or -1? -1 Do -301 and -306 have different values? True Which is smaller: -3/595 or 1? -3/595 Which is greater: 6/7 or 1? 1 Which is bigger: 20/37 or 0? 20/37 Which is smaller: 1/1174 or 1? 1/1174 Is 7167 at most 2/11? False Which is greater: 2 or 114/115? 2 Are 425 and -2 equal? False Is -7 at least as big as -92/11? True Which is smaller: -1026 or -3077/3? -1026 Is -14/9 at least -2? True Which is smaller: 120 or 82? 82 Which is bigger: -11 or 18? 18 Are -76 and 4 non-equal? True Which is greater: 20 or -184? 20 Which is bigger: 762/11 or 69? 762/11 Is -1 at least 6/19? False Which is greater: -1/2 or 123? 123 Is -172 less than -175? False Which is smaller: 0 or 120/103? 0 Which is greater: -2439 or -2441? -2439 Which is greater: 1182 or 2/7? 1182 Which is smaller: -62 or -68? -68 Are -242/31 and 0.2 equal? False Is 15/119 at most as big as -2? False Is -7/5622 greater than -1? True Does 12/113 = -1? False Does -9227 = -9227? True Which is smaller: -2/51 or -111? -111 Which is smaller: 0 or 164/465? 0 Which is bigger: 398 or 380? 398 Is 15/364 smaller than 0? False Which is greater: -3364 or -3363? -3363 Which is smaller: 4.66 or 11? 4.
{ "pile_set_name": "DM Mathematics" }
2/11 (c) 0.2 (d) k c Let v(o) = -4*o + 13. Let l be v(3). Let n(y) = -y**2 + y + 1. Let t be n(l). Let f = -3 - 0. Which is the nearest to -0.1? (a) t (b) -5 (c) f a Let c = -11.4 - -11. Let g = c + 3.4. Let f = g - 7. What is the nearest to 1 in -0.4, -2/7, f? -2/7 Let i = -246 + 247. Let y be ((-23)/(-28))/(1/4) - 3. What is the closest to y in -5, -4, i? i Let m = -0.009 - -53.009. Let z = m + -52.7. What is the closest to 1/2 in z, -51, 2/5? 2/5 Let r = 0.063 + -0.163. Which is the closest to r? (a) 12 (b) 1/4 (c) -0.3 c Let n = 1.107 + -0.107. Let y = -3.1 - -0.1. Let t = y - 1. What is the closest to t in -0.5, n, -4? -4 Let x = -1094 + 1093. Which is the closest to 19/4? (a) 1 (b) 1/12 (c) -4 (d) x a Let g be (-3)/((-36)/15) - 24/16. Suppose -3*j - f + 8 = 0, -j + 6*j = 5*f - 20. Let l = 9/52 + -293/1092. Which is the nearest to j? (a) g (b) l (c) 2 c Let f = -0.033 + -255.967. Let i = 258 + f. Let h = 0 - -1. Which is the closest to h? (a) i (b) -0.03 (c) -5 a Let l = -370 - -370. Which is the nearest to l? (a) 5 (b) 0.31 (c) -8 b Let j be (-47)/(-9) - (0 + (-8)/(-36)). Let x be 0 + 100/(-15) + 6. Which is the nearest to j? (a) 0.4 (b) x (c) 2 c Let m = -129.9 - -130. Which is the closest to -0.1? (a) m (b) 0 (c) -24 b Let f = 2.93 - -0.07. Let y = 20 + -98/5. Which is the closest to 0? (a) y (b) -4/3 (c) f a Suppose 0 = 2*h + h - 36. Let d = 7 - h. Let t = 2 - 2. Which is the closest to -0.3? (a) d (b) t (c) 2/7 b Let l = 691 - 690. What is the nearest to l in 17, 2, -1/4, -1/7? 2 Let y = -6 + 10. Let k = -0.0566 + -0.3434. Which is the nearest to y? (a) k (b) 2 (c) 1/2 b Let g = 0.06 + -0.08. What is the closest to 1 in -0.3, 4, g? g Let w = 1.8 - 0.8. Suppose 4*y = 5*k + 12 + 28, 0 = k + 4. What is the nearest to w in 4/5, y, -1/4? 4/5 Let d = 489 - 491. What is the closest to d in 3, -0.9, 0.4, -1? -1 Let r be 1 + 2 - 301/84. Let s = 283 + -1703/6. Let y = r - s. What is the closest to 1/3 in 0.2, -5, y? y Let g be (252/(-24))/((-2)/(-4)). What is the nearest to -1 in 2/7, 0.03, 0.4, g? 0.03 Let u = -0.4 + -0.1. Let n = -381 + 381. Let j be -1*1 - (10 - 10). Which is the closest to n? (a) u (b) 0.2 (c) j b Suppose 12*q - 19 - 29 = 0. What is the nearest to 1/3 in 0.2, 31, q? 0.2 Let n be (2/(-18))/((-2)/(-8)). Let s = -2.47 - -2.97. Which is the nearest to -0.4? (a) s (b) n (c) -5 b Let m = -4.53 - -4.33. What is the nearest to m in -2/3, 0.2, 3? 0.2 Let m = -0.7 + 0.3. Let l be 121/22 + (-7 - -1). What is the nearest to l in 5, m, 1? m Let i(p) = 8*p**2 + 3 - p**3 - 3*p**2 + 5 + 3*p. Let f be i(6). Let u be (-8)/f*(-9)/12. Which is the closest to 0? (a) -3 (b) -4 (c) u c Let j = 7.72 + -0.72. Let y = -74.1 + 81. Let h = j - y. What is the closest to h in 0.2, 3, -0.2? 0.2 Let k = 32744449/253 + -129425. Let w = -9/23 - k. Which is the closest to -2/7? (a) 6 (b) 2/5 (c) w c Let j = -181/3 - -61. What is the closest to j in -0.15, 2/3, 1/5, -0.3? 2/3 Let k be 6/81 + 0/(-5). Which is the closest to k? (a) 0.5 (b) -5 (c) -0.2 (d) 3 c Let q = -0.013 + -0.087. Let i = -5.7 + 5.66. Which is the closest to i? (a) -2 (b) 2 (c) q c Let v be -3 + (5 - 198/8). Let d = v - -23. What is the closest to 1/3 in d, 2/5, -0.1? 2/5 Let y = -22.019 + 0.019. Let w = -20 - y. What is the closest to 0.1 in w, -1/2, -2/5? -2/5 Let n = -10.1 + 10. Let o = -2/493 - -42895/986. Let q = o - 42. Which is the nearest to n? (a) q (b) 2 (c) 4 a Let c = 53 - 53.3. What is the closest to -2/7 in c, 4/5, -5? c Let q = 1 + -1.4. Let a = -5.4 - q. Let t = 6 + a. What is the closest to 0.1 in t, 1/3, -1/5? 1/3 Let i = -1.264 - -1.764. What is the nearest to -2 in i, 33, -0.4, 5? -0.4 Let t = 2.021 + -0.921. What is the closest to 1 in t, -3, 1? 1 Let y be (1/(-2))/(33/6 + -6). What is the nearest to y in 8, 0.2, -1, 0.1? 0.2 Let m = -1289.9 + 1290. Which is the closest to -1? (a) 0.4 (b) m (c) 3 (d) -37 b Let o = 812 - 808. Which is the closest to 1? (a) -2/5 (b) o (c) 2 (d) 7 c Let n = -570 + 566. What is the nearest to -1 in n, 1, -2, 4? -2 Let f(q) = -6*q + 88. Let z be f(14). What is the closest to -3 in z, 10, -5? -5 Let j = -0.3308 + 0.1308. What is the closest to j in -3, -2, 43? -2 Let p = -91 - -99. Let g be (-6)/(-6) + (-2 - (-10)/p). What is the closest to 2 in 0.3, -1/3, g? 0.3 Let i = -18.84 + -0.16. Let o = i - -20. Let q = 5.9 + -6. What is the closest to 1/2 in o, q, -5/6? o Let w = -101 + 99. Let s(y) = -y**3 + 4*y**2 - 4*y - 1. Let f be s(3). Let a = f - 0. What is the closest to 1/2 in -8, w, a? w Let t = 8855 + -26569/3. Let z be -4 + (1/1 - 0). Which is the nearest to -3? (a) z (b) t (c) -4 a Let l be (-73)/(-949) - 42/(-130). Which is the closest to l? (a) 6 (b) -4 (c) -0.5 c Let d = -8 + 8.32. Let j = d - -2.18. Let z = j - 2.6. What is the nearest to z in 0.04, -3, 0? 0 Let x = 29/60 - 3/20. Let k = -0.95 + -1.05. Which is the nearest to x? (a) 0 (b) 0.2 (c) k b Let k = 15.9 + -14. Let z = 2 - k. Which is the closest to 2/5? (a) 2/7 (b) z (c) 6 a Let r = -0.13 + 0.23. Let v = -192 + 188.24. Let n = -0.24 + v. Which is the nearest to 1? (a) n (b) 1 (c) r b Let i(u) = -7*u**2 - 3*u + 9. Let o be i(9). Let l be 481/o - (-4)/18. Which is the nearest to -6/5? (a) l (b) -5/4 (c) -2/3 b Suppose -g = 4*g + 155. Let v = -30 - g. Which is the nearest to v? (a) -2 (b) -5 (c) -2/7 c Let a be (-28)/(-2)*(-8)/16 - 2. Let g be ((-7)/a)/7*3. Let t = 3.7 - 4. What is the closest to g in t, -1/9, -0.4? -1/9 Let g be (-447)/(-5364)*(-3)/2. Let b = 4 - 6. Let w be (-2 + -8)*b/4. What is the closest to -2 in g, w, 0? g Let j = -17 + 24. Let t = j + -8. Let f = 35/2 - 17. Which is the closest to t? (a) 1 (b) -2 (c) f b Let i = 5 - -8. Let q = i - 7. Let g = -9 + q. What is the closest to 1 in 0.5, g, 0.3? 0.5 Let u = -39 - -84. Let r = 47 - u. Let o = 0.5 + 3.5. Which is the nearest to 0? (a) o (b) r (c) -0.1 c Let c be (-27)/(-99) + (-50)/22. What is the nearest to c in -4, 1, -0.5? -0.5 Let d = -2.04 + 1.54. What is the closest to 1/2 in 2/15, 0.01, d? 2/15 Let x = 134510/651 + -2889/14. Let k = 3/31 - x. Let q(u) = 16*u - 83. Let i be q(5). Which is the nearest to -1? (a) k (b) -1 (c) i b Suppose 3*n + 2*p = -p + 12, -3*n = -5*p + 20. What is the nearest to 0 in n, -4, 46? n Let v = -1515 - -1513. What is the closest to 0.2 in 2/87, v, 3? 2/87 Let m = -119/310 - 1/62. What is the closest to 18 in -0.5, m, 0.3, 0.5? 0.5 Let f = 3.21 + -3.31. Which is the nearest to -3/7? (a) f (b) 5 (c) -4 (d) 4 a Suppose -2*y - 4 = -3*k, -163*y = -5*k - 168*y - 10. What is the closest to -1 in k, 5/9, -5? k Let g(m) = 4*m**3 - 17*m**2 - 17*m + 7. Let h be g(5). Let c = 0.6 + -0.8. What is the nearest to c in -4, 3, h? h Let h be 6/4 + (-6)/2. Suppose 180*r - 176*r - 4 = 0. Which is the nearest to r? (a) 0.2 (b) -1 (c) h a Let y = 7 - 4. Let u = y - 14. Let o = 22 + u. Which is the closest to -0.1? (a) -2/15 (b) o (c) -0.2 a Let y = 22.5 + -20.5. Let w = 0.5 - 0.6. Which is the nearest to 0.2? (a) -5 (b) w (c) y b Suppose -2*q + 5*z + 100 = 2*q, 0 = 4*z. Let n = 273/11 - q. Let h = 3.1 + -3. What is the closest to h in -1, 1, n? n Suppose 4 = l - 0*l. Suppose -u + 0 = l*k + 4, 3*u - 5*k = 56. What is the closest to u in -1/2, -1, 0.5? 0.5 Let i = -3.113 + 0.113. Which is the nearest to -1? (a) i (b) 3 (c) -29 a Suppose 2*o + 1 = 3. Suppose m - o = -0*m. Let k be (8/108)/(m/(-3)). Which is the nearest to k? (a) -1/4 (b) -1 (c) -5 a Let w = 3.95 - -0.05. Let m(s) = -s**3 + 5*s**2 + s - 2. Let h be m(5). Suppose 5*i - 1 = -q, 2*q - 7*q = -h*i - 5. What is the nearest to i in 1, -1/2, w? -1/2 Let a be (-1)/3 - (-7)/30. Let j be (-9)/(90/32) - -4. What is the closest to -1 in j, -4/7, a? -4/7 Let u = 12002/15 - 800. Which is the closest to u? (a) 5 (b) 3 (c) 2 (d) -3 c Let j = 10.002 - 1.202. What is the nearest to j in 0.2, 0.1, -1/3? 0.2 Suppose 5*u - 6 = -21. Let r be 8 + 2*u/2. Let k be 2/r + 4/40. What is the nearest to k in -1, 2/3, -3? 2/3 Let i = 107 + -102. Which is the closest to -4? (a) -3 (b) i (c) -4 c Let w be (-42)/(-12)*6/14. Let u(t) = t**2 - 4*t - 5. Let l be u(5). Which is the closest to l? (a) -0.4 (b) -1 (c) w a Let f be 1856/408 + -5 -
{ "pile_set_name": "DM Mathematics" }
o*h(c) + w*y(c). c + 2 Let t(h) = h**3 - 3*h**2. Let g(f) be the first derivative of 0*f**2 + 0*f - 4/3*f**3 + 1/4*f**4 + 2. Give 3*g(q) - 4*t(q). -q**3 Let y(h) = -5*h - 1. Let r(m) = 3*m + 3*m + 3*m + 1. Let g = 11 - 6. Give g*y(w) + 3*r(w). 2*w - 2 Let k(s) = 7*s + 4. Let j(m) = -15*m - 9. Let t(r) = 2*j(r) + 5*k(r). Let y(g) = 6*g + 3. Give 4*t(b) - 3*y(b). 2*b - 1 Let c(j) = 109*j + 3 - 6 - 3*j**2 - 4 - 102*j. Let m(t) = -3*t**2 + 6*t - 6. Calculate 6*c(b) - 7*m(b). 3*b**2 Let g(o) = -11*o + 5. Let f(k) = k + 1. What is 5*f(n) - g(n)? 16*n Let n(d) = -15 - 6 - 8*d - 14 + 42. Let g(l) = 4*l - 3. Determine 7*g(w) + 3*n(w). 4*w Let f(x) = 3*x + 6. Let i(t) = 3*t + 12. Let s(y) = -16*y - 61. Let m(r) = 11*i(r) + 2*s(r). Let u be m(-7). Let l(o) = -2*o - 5. Determine u*f(n) + 4*l(n). n - 2 Let p(c) = -3*c - 4. Let g be p(-5). Let o = 8 - g. Let t(n) = -2*n + 2. Let h(w) = -5*w + 5. Calculate o*h(d) + 8*t(d). -d + 1 Let m(c) = -c + 8. Let p(x) be the third derivative of -x**3/6 + 9*x**2. Calculate m(y) + 6*p(y). -y + 2 Let y(l) = -9*l**2 - 5*l + 3. Let g(f) be the third derivative of -f**5/15 - f**4/12 + f**3/6 + 48*f**2. What is -7*g(v) + 3*y(v)? v**2 - v + 2 Let u be (5/(-3))/((-1)/3). Let w(f) = 4*f**2 + 5*f - 5. Let y = -58 - -59. Let k(x) = -x**2 - x + 1. What is u*k(i) + y*w(i)? -i**2 Let v(l) = -5*l + 1. Let f(m) = -13*m - 22*m + 34*m. Suppose 0*p - 1 = 3*r - 2*p, 3*p + 8 = -5*r. Calculate r*v(s) + 6*f(s). -s - 1 Suppose -3*o - 5 = -8*o. Let j(h) = -6*h**3 + 5*h**2 - 5. Let i(n) = n + 11. Let l be i(-7). Let t(q) = q**3 - q**2 + 1. Calculate l*t(g) + o*j(g). -2*g**3 + g**2 - 1 Let c(p) = 2*p - 83. Let j(y) = 4*y - 167. Determine 9*c(n) - 4*j(n). 2*n - 79 Let y(x) = 19*x**3 + 13*x**2 - 11*x + 2. Let d(w) = -9*w**3 - 6*w**2 + 5*w - 1. Determine -13*d(q) - 6*y(q). 3*q**3 + q + 1 Let i(x) = -29*x**3 + 14*x - 2. Let y(n) = -10*n**3 + 5*n - 1. Give -3*i(m) + 8*y(m). 7*m**3 - 2*m - 2 Let y(s) = -2*s**3 - s**2 + 4*s. Let o(w) = w**3 + w**2 - 3*w. Determine -4*o(r) - 3*y(r). 2*r**3 - r**2 Let q(t) = -85*t**3 + 3*t**2 - 3. Let b(x) = 170*x**3 - 5*x**2 + 5. Calculate 3*b(n) + 5*q(n). 85*n**3 Let o(i) = 10*i**2 - 6*i - 11. Let l(x) = 2*x**2 - x - 2. Calculate -11*l(r) + 2*o(r). -2*r**2 - r Let o(s) = 4*s**3 - s**2 + 3*s. Let q(p) = p**3 + p. Give -o(u) + 5*q(u). u**3 + u**2 + 2*u Let w(k) = -k**2 + k. Suppose -5*f + 2*o = 3*o, -o = 2*f - 3. Let x(v) = v**2 - 1. Let l = -8 - -12. Suppose -7*c + 11*c = l. Determine c*w(h) + f*x(h). -2*h**2 + h + 1 Let n(f) = -9*f**2 + 65 - 65 - 5*f + f. Let s(m) = -5*m**2 - 2*m. What is 6*n(v) - 11*s(v)? v**2 - 2*v Let s(l) = -5*l**2 - 7*l - 8. Let q be (1 + -3)*39/(-6). Let n(c) = 11*c**2 + 15*c + 17. Determine q*s(v) + 6*n(v). v**2 - v - 2 Let o(w) = -4*w - 3. Suppose -12*t - 12 = -8*t. Let p(f) = -5*f - 4. Determine t*p(q) + 4*o(q). -q Let k(m) = -43*m**2 - 17. Let z(d) = -7*d**2 - 3. Determine -6*k(t) + 34*z(t). 20*t**2 Let d(r) = -5*r - 7. Let t(n) = -n**3 + 4*n**2 + 2*n - 2. Let z be t(3). Let p(v) = -11*v - 15. Give z*d(f) - 6*p(f). f - 1 Let i(t) = -t**3 + t**2 - 5*t + 5. Let p(x) = -x**3 - x + 1. What is i(v) - 5*p(v)? 4*v**3 + v**2 Let j(x) be the third derivative of x**4/12 - 46*x**2. Let r(a) = 1. Give j(w) - r(w). 2*w - 1 Let k(s) = s + 3. Suppose 4*u + v - 5 = -22, 8 = -3*u + 4*v. Let l(i) be the second derivative of -i**3/6 - i**2 + i. What is u*k(w) - 5*l(w)? w - 2 Let z(f) = -2*f**3 - f**2 - f + 3. Let p(v) = 2*v**3 + v**2 + v - 4. Give -3*p(d) - 4*z(d). 2*d**3 + d**2 + d Let c(w) = -5*w. Let u(v) = -v + 6 - 3 - 3. Determine c(p) - 6*u(p). p Let h(n) = -10*n - 4. Let v(y) = 1. Give -h(k) - 4*v(k). 10*k Let c(w) = 5*w**2 + 47*w + 9. Let b(q) = 2*q**2 + 23*q + 4. Determine -7*b(a) + 3*c(a). a**2 - 20*a - 1 Let w(v) = -65*v + 2. Let n(i) = 32*i - 1. Determine -5*n(o) - 2*w(o). -30*o + 1 Let f(a) = -3*a**3 - 7*a**2 - 6*a + 6. Let g(x) = 3*x**3 + 6*x**2 + 5*x - 5. Give -5*f(k) - 6*g(k). -3*k**3 - k**2 Let v(t) = -8*t**2 + 7*t. Let w(f) = -17*f**2 + 15*f. Let b = -4 - -10. Suppose -4*l = -b*l + 12. What is l*w(o) - 13*v(o)? 2*o**2 - o Let m(k) = 5*k**3 - 6*k**2 - 7*k. Let i(z) = 3*z - 6. Let f = -6 - -11. Let x = 9 - f. Let v be i(x). Let c(a) = -a**3 + a**2 + a. What is v*c(l) + m(l)? -l**3 - l Let y(u) be the second derivative of -7*u**5/20 + u**4/2 - 3*u**2 + 7*u. Let h(k) = -6*k**3 + 5*k**2 - 5. Calculate -6*h(f) + 5*y(f). f**3 Let d(f) = -2*f. Let t(b) be the third derivative of b**4/24 + 2*b**2. Give -3*d(n) - 5*t(n). n Suppose -2*s + 10 = -0*s, 5*s - 21 = 2*p. Let q(o) = -48*o. Suppose -3*v - 11*h + 14*h = 93, 97 = -3*v + h. Let l(y) = -3*y. What is p*q(x) + v*l(x)? 3*x Let l be (0/2)/(6/6). Let v(i) = l*i - 3*i**2 + 9 - 5*i + 0*i**2. Let f(t) = 2*t**2 + 3*t - 5. Calculate 5*f(g) + 3*v(g). g**2 + 2 Let l(y) = -1. Let a be 7/4 + 2/8. Let c(i) = -5*i + 2*i + 0*i - 2 + a*i. What is -2*c(z) + 5*l(z)? 2*z - 1 Let d(r) be the third derivative of 3*r**5/20 + r**4/8 + 5*r**3/6 - 5*r**2. Let a(q) = -5*q**2 - 2*q - 3. What is 7*a(g) + 4*d(g)? g**2 - 2*g - 1 Let d(j) = 8*j. Let r(w) = w. Let b(k) = 6*k + 4. Let p be b(-3). Give p*r(q) + 2*d(q). 2*q Let k(q) be the first derivative of 0*q + 7/2*q**2 + 4 - 7/3*q**3 - 1/4*q**4. Let m(p) = -p**3 - 5*p**2 + 5*p. Calculate 5*k(r) - 7*m(r). 2*r**3 Let o(s) = s + 3 - s + s - 4. Let y(z) = -z. What is -3*o(w) - y(w)? -2*w + 3 Let h(z) = 8*z + 19. Let p(s) = -s - 1. Calculate h(r) + 6*p(r). 2*r + 13 Let o be (4 + -2)/((-2)/6). Let v(t) = 2*t**2 + 6*t - 6. Let r(z) = z**2 - 11*z + 20. Let l(c) = 3*c - 5. Let b(i) = 9*l(i) + 2*r(i). Give o*b(a) + 5*v(a). -2*a**2 Let u(g) = -13*g**2 + 5*g. Let x be ((-20)/25)/(1/5). Let q(i) = -3*i**2 + i. Give x*u(f) + 18*q(f). -2*f**2 - 2*f Let n(j) be the first derivative of -j**5/120 + j**3 - 5. Let i(c) be the third derivative of n(c). Let p(w) = -2*w**2 + 8*w + 1. Determine 6*i(l) + p(l). -2*l**2 + 2*l + 1 Let k be (-8)/(-3)*(39 - -6). Let p(l) = -120 + k + 3*l. Let r(m) = -m**2 - 13*m. Determine 9*p(c) + 2*r(c). -2*c**2 + c Let j(z) = -3*z**2 - 13*z + 5. Let b(s) = 2*s**2 + 12*s - 5. Let i(o) = 6*b(o) + 5*j(o). Let l(m) = m**2 - m + 1. Give i(d) + 6*l(d). 3*d**2 + d + 1 Let v(m) = -6*m. Let r(p) = -3*p + 1. Let j(t) = -16*t + 5. Let x(a) = -2*j(a) + 11*r(a). Calculate -v(u) + 2*x(u). 4*u + 2 Let f(w) = -w**2. Let p(r) = 6*r**3 - 2*r**2 + r. Let x be p(1). Let o(t) be the third derivative of t**5/20 + t**4/24 - t**3/3 + t**2. Give x*f(s) + o(s). -2*s**2 + s - 2 Let g(z) be the first derivative of z**4/4 + z**3 - z**2 + 2*z + 5. Let b(u) = -u**2 + u - 1. Give -2*b(k) - g(k). -k**3 - k**2 Let x(h) = h + 7. Suppose 4*i = -4*p + 40, 4*p - i = 3*p + 2. Let t(y) = -y - 6. Suppose -5*v + 11 = -24. Determine p*x(m) + v*t(m). -m Let z(i) = -i**2 + i + 1. Let l(m) be the second derivative of -m**4/12 + 2*m**3/3 + m**2 + 36*m. Calculate -l(a) + 3*z(a). -2*a**2 - a + 1 Let h(t) = t**2 + 2*t + 2. Let f(v) be the first derivative of 2*v**3/3 + 3*v**2/2 + 2*v + 2. Suppose 10 = 6*a - a. Determine a*f(r) - 3*h(r). r**2 - 2 Let s(j) = j + 13 + 4*j - 2*j. Let n(x) be the first derivative of 4 - 4*x - 1/2*x**2. What is -7*n(b) - 2*s(b)? b + 2 Let b(p) = -4*p - 23. Let x(r) = -2*r - 11. Give 4*b(u) - 9*x(u). 2*u + 7 Let f(n) = 11*n - 11. Let r = -44 - -51. Let z(y) = -5*y + 5. Calculate r*z(h) + 3*f(h). -2*h + 2 Let y(t) = -7*t + 1. Suppose -2 - 4 = -r. Let s(k) = -7*k - 6. Let m(g) = 13*g + 11. Let h(a) = 6*m(a) + 11*s(a). Determine r*h(j) + y(j). -j + 1 Let i(y) = -9*y**2 + y + 5. Let n(c) = -10*c**2 + c + 6. What is -4*i(j) + 3*n(j)? 6*j**2 - j - 2 Suppose -3*r + 19 = -4*k, 2*r - r = 5*k + 21. Let j(h) = h + 4. Let c(x) = -x - 5. Let a(v) = 4*c(v) + 5*j(v). Let o(f) = -6*f - 1. Determine r*o(s) + 4*a(s). -2*s - 1 Let b(x) = x**2 + 10*x + 8. Let o be b(-9). Let k(i) = i - 2. Let f(l) = -l**3 - l. Let p(c) = 2*c + 3. Let v be p(-2). Determine o*f(g) + v*k(g). g**3 + 2 Let v(k) = k**3 - 3*k**2 - 31*k + 1. Let p(j) = -2*j**3 + 4*j**2 + 32*j - 2. What is 3*p(d) + 4*v(d)? -2*d**3 - 28*d - 2 Let m(t) = 2*t - 5. Let o(r) = -r + 1. Calculate 2*m(b) + 6*o(b). -2*b - 4 Let t(h) = -h + 1. Let b(c) = -1. Let r(w) = 3*w + 2. Let m(v) = -4*b(v) - r(v). Give -m(f) + 2*t(f). f Let q(u) = 4*u - 7. Suppose 14*p = 12*p - 12. Let o(a) = -a + 1. Let d = -4 + 3. Give d*
{ "pile_set_name": "DM Mathematics" }
21 Let i = -154 - -65. Let g = 88.99999965 + i. What is g rounded to seven dps? -0.0000004 Let i be 1410 - (-6 + 66)/(-10). Round i to the nearest 100. 1400 Let r = 11.3 + -11.364. Round r to two dps. -0.06 Let a(u) = -2*u**2 - 10*u + 3. Let g be a(-6). Let n be 2 + 1740001 + 6 + g. Round n to the nearest 100000. 1700000 Let p = 0.6999988788 - 0.7. What is p rounded to 7 decimal places? -0.0000011 Let l = -3567478.5000108 - -3567476. Let h = 2.5 + l. Round h to 6 dps. -0.000011 Let d = -2.5995 + 0.3091. Let z = d + 2.3. What is z rounded to three dps? 0.01 Let p be (21/(-9))/(1/3). Let y(k) = -12 - 1240820*k - 216325*k - 3. Let u be y(p). What is u rounded to the nearest one million? 10000000 Let t = 0.1206 - 4.1556. What is t rounded to one decimal place? -4 Let r = 193.1 - 100.4. Round r to zero decimal places. 93 Let f(n) = 141*n**2 + 14*n - 12. Let y = 23 - 31. Let c be f(y). What is c rounded to the nearest 1000? 9000 Let l = 5892 + -5895.361. Let h = 14.869 - l. Let q = 18 - h. What is q rounded to 1 dp? -0.2 Let a = 155.7 + -155.699361. What is a rounded to five dps? 0.00064 Let t(y) = 628*y**3 + y**2 - 24*y - 5. Let x be t(5). What is x rounded to the nearest ten thousand? 80000 Let v = 0.0799 + 0.0671. Round v to one decimal place. 0.1 Let o = 159365 - 95352. Let j = o - 16013. Round j to the nearest 10000. 50000 Let v = 458 - 458.7. Round v to the nearest ten. 0 Let f(g) = 19824*g**3 + 17*g**2 - 30*g + 32. Let w be f(14). What is w rounded to the nearest 1000000? 54000000 Let a = -303.513 - -305.6. What is a rounded to 1 dp? 2.1 Suppose -174*m + 20394000 = -180*m. Round m to the nearest 100000. -3400000 Let l = 104.0000194 + -104. What is l rounded to 6 decimal places? 0.000019 Let h = 0.0302 - -298.9698. Let t = -241.491 + -59.319. Let y = t + h. Round y to 1 decimal place. -1.8 Let w = 44.683 + -44.5. Let g = w + -0.182774. Round g to 4 decimal places. 0.0002 Let f(d) = -5*d - 689*d**2 - 16 + 49*d - 10 + d. Let u(z) = 138*z**2 - 9*z + 5. Let g(s) = 2*f(s) + 11*u(s). Let r be g(7). Round r to the nearest one thousand. 7000 Let m = -8520.04571 - -8520. Let r = 0.0488 + m. What is r rounded to four dps? 0.0031 Let z = -11067 - -11064.9059. Let j = -2.1 - z. Round j to three dps. -0.006 Suppose 7*a - 2*a - 3*t = 9952, -4*a = -2*t - 7960. Let k = a - 758. Round k to the nearest one hundred. 1200 Let l be 791695 + (-2)/(-6)*(4 + 11). Round l to the nearest one hundred thousand. 800000 Suppose 19 = 8*l - 5. Let g be (l - 5) + (-4)/(-1). Suppose -8 - g = 2*u, -y + 2*u - 2129990 = 0. Round y to the nearest one hundred thousand. -2100000 Let l = -1127 - -1128.421. What is l rounded to one decimal place? 1.4 Let g = 846210 - 846220.107896. Let q = g + -4.892169. Let r = q + 15. What is r rounded to 5 decimal places? -0.00007 Let a = 1294186 + -1294082.0282. Let v = -104 + a. Round v to three dps. -0.028 Let i(j) = -2*j + 11. Let u be i(-7). Suppose 3*l + u = -2*l. Let a be (-2202)/l - 8/20. Round a to the nearest one hundred. 400 Let u = 83 + -40. Let d = 45.44 - u. What is d rounded to 0 dps? 2 Suppose -n = 1, -5*n - 18 = -2*c - 1. Let j be (c/(-4))/((-2)/4). Suppose 501 = -0*g + j*g. What is g rounded to the nearest ten? 170 Let n = -431.999997716 - -432. Round n to 6 dps. 0.000002 Let a = -0.13 - 25.87. Let m = 17.9905 - -8.0078. Let r = m + a. Round r to 3 decimal places. -0.002 Let j = 11.26 - -0.24. Let l = j - 9. Let q = l + 23.4. What is q rounded to the nearest integer? 26 Let z(t) = -3304*t**2 + 20*t + 36. Let m be z(-7). What is m rounded to the nearest one hundred thousand? -200000 Let d = -22605.78460146 - -22598.4846. Let f = 7.3 + d. What is f rounded to seven decimal places? -0.0000015 Let i be (-4)/(-18) + 50/18. Let v be 1/(-3) - 35942/(-6). Suppose 1990 = x + 2*j - 4*j, -v = -i*x + 2*j. What is x rounded to the nearest 100? 2000 Let x = 205.5028 + 0.1972. Round x to the nearest 10. 210 Let r = 0.558 + -0.557995033. Round r to 7 decimal places. 0.000005 Let k = -0.0336 - -0.0583. Let u = k - 0.2377. Round u to two decimal places. -0.21 Let p be (-9)/6*(-8)/3. Suppose o = -p*j + 85, 5*j + 70 - 185 = -3*o. Suppose -17*r = -j*r + 3600000. What is r rounded to the nearest 1000000? 1000000 Let w = 6.813 - 6.8121117. What is w rounded to 4 dps? 0.0009 Let j = -123.378 - 0.122. What is j rounded to the nearest ten? -120 Let l = -112 + 63. Let s = -273 - l. Let y = s + 215.1. What is y rounded to the nearest integer? -9 Suppose -t + n - 3400000 = 0, 13094383 = -5*t - 3*n - 3905617. What is t rounded to the nearest 100000? -3400000 Let f = -0.041 - 21.959. Let q = f + 21.83. Let k = q + 0.1644. Round k to 3 decimal places. -0.006 Let b = -0.3075 + -15.4825. Round b to the nearest ten. -20 Let t = 0.821 - 0.82. Let n = t - 0.047. What is n rounded to two dps? -0.05 Let f = -8801.79 + 500621.79. Let z = f - 491819.8999996. Let c = z - 0.1. Round c to six dps. 0 Suppose 112*t + 25750 = 107*t. What is t rounded to the nearest one hundred? -5200 Let q(b) = -20*b**3 - b**2 - b + 1. Let m be q(1). Let z be 305756521/m + (-2)/(-6). Let p = -6359834 - z. Round p to the nearest 1000000. 8000000 Suppose -41380020 = 2*a + 5*n, 11*a - 103449980 = 16*a - 5*n. Round a to the nearest 1000000. -21000000 Let q = -123568735.42 - -123568154.4199507. Let d = q + 581. Round d to five dps. -0.00005 Let y = 61 - 60.981. Let b = 822.01809 + -822. Let k = y - b. Round k to four dps. 0.0009 Suppose 4593929 = 2*m - c + 1217084, 0 = -2*m - c + 3376839. Let h = 2858421 - m. Round h to the nearest 100000. 1200000 Let h = 42 + -40. Suppose -4*z - 61602 = -0*y - h*y, 15398 = -z - 2*y. What is z rounded to the nearest ten thousand? -20000 Let n = -1.54 - -1.7155. Round n to 2 decimal places. 0.18 Let u = -437 + 884. Suppose -3*d - u = 93. Round d to the nearest one hundred. -200 Suppose -12*n - 337344 = -8173344. Round n to the nearest 100000. 700000 Let j = 1.835 - 0.225. Let o = j + -0.31. Let y = -1.283 + o. What is y rounded to three decimal places? 0.017 Let d = -1478335 + 1477587.0321. Let o = d + 748. What is o rounded to 3 dps? 0.032 Let t = 144.99 - 153.3. What is t rounded to 1 decimal place? -8.3 Suppose 0 = 10*n - 15*n + 350. Round n to the nearest 10. 70 Let m = -92.05 - -2.05. Let b = -89.99914 - m. What is b rounded to three dps? 0.001 Let a = 23179823 - 13489823. What is a rounded to the nearest 100000? 9700000 Let f = 7464 - 7464.000006258. Round f to 7 decimal places. -0.0000063 Let w = -24.04 - -24. Let j = -6 - -6.025. Let c = w - j. Round c to 2 dps. -0.07 Let p(w) = 495*w + 8. Let c be p(2). Round c to the nearest ten. 1000 Suppose -5*w + 16 = 4*t, 0*t + 4 = t - 5*w. Let r be (t - 3)*-463881 + 1. Let i = -926120 + r. Round i to the nearest 100000. -1400000 Let d = 21.50000188 + -21.5. Round d to 7 dps. 0.0000019 Let a = -67.4 - -73.51. Let u = a + -5.9. What is u rounded to 1 decimal place? 0.2 Let n = 36 + -34. Suppose s = -r - 24402, 0 = -n*r - 0*s + 4*s - 48792. What is r rounded to the nearest one thousand? -24000 Let z = 583 + -582.99683. What is z rounded to three decimal places? 0.003 Let h = -25763 - -25763.0000011043. Round h to 7 decimal places. 0.0000011 Let d = 0.035 - -56.965. Let h = d - 52.4. Let w = -1.1 + h. What is w rounded to 0 decimal places? 4 Let k(j) = 4*j**2 - 4*j + 4. Let p be k(1). Suppose 0 = -4*m + 3*s - 6*s - 520012, 520016 = -p*m - 4*s. Round m to the nearest 100000. -100000 Suppose 0*d + 2*m = 2*d - 130594, d + 2*m - 65306 = 0. Round d to the nearest one thousand. 65000 Let j = 224.999999861 + -225. What is j rounded to 7 dps? -0.0000001 Let i = -547.5 - -546.9438. Let z = -0.60078 - i. Let c = -0.045 - z. What is c rounded to four decimal places? -0.0004 Let y be ((-25)/15)/((-1)/12). Let a be 8/y + 33000062/(-5). Let q be a/66 - (-4)/22. Round q to the nearest one million. 0 Let b(o) = o**3 + o**2 - 6*o - 3. Let m be b(-2). Suppose w = m*w + 4*r - 1188, -w - 4*r = -285. What is w rounded to the nearest 10? 300 Let z = 1.9 - 1.2. Let j = 0.5462 + 0.1548. Let b = z - j. Round b to 4 dps. -0.001 Suppose 5*z + 12*z - 498100000 = 0. Round z to the nearest one million. 29000000 Let d = 37 + -32. Let f = 4.995 - d. Round f to two decimal places. -0.01 Let y = -30 + 75. Let k = y - 44.9915. Round k to three dps. 0.
{ "pile_set_name": "DM Mathematics" }
6. Let z = g + -0.16. Is o at least as big as z? True Let c be (-2)/(-3)*12/(-508). Let t = -365/1016 + c. Which is smaller: t or 0? t Let a = 41110248/35 + -1174261. Let v = a + -2084/7. Let j = -20 + v. Which is bigger: j or -1? j Suppose -3*j - 37 = -3*y + 2*j, -4*y + 3*j = -31. Let u be (12/(-9))/(y/(-6)). Let n be -1 - (u + 0)/(-1). Is n equal to -2/11? False Let w = 1298/7 + -185. Let o be (-10)/28*2 + 1. Which is greater: w or o? w Suppose 4*y - 6*y = -16. Let x = 23 + -20. Let i be y/x*(-6)/4. Which is smaller: -2 or i? i Let c(x) = -2*x**3 + 6*x**2 + 3*x - 2. Let d be c(4). Is -22 less than or equal to d? True Suppose 4*i - 8 - 4 = 0. Suppose -5*r + i*j = -8, 5*r - 4 = -j - 0*j. Which is bigger: 0 or r? r Let f = -4 + 3. Let q(x) = x**2 + 11*x + 16. Let n be q(-10). Which is smaller: f or n? f Suppose -35 = -4*w - 3*g, -3*w = -2*w + 3*g - 11. Which is smaller: w or 9? w Let r be ((-20)/6)/((-1)/3). Suppose -5*x = -30 + r. Let f be 4/(-3)*1*-3. Is f at least x? True Suppose -i - 2*k + 20 = 3*k, 2*i = -5*k + 25. Suppose r = -5*h + 11, -5*h + 7 = -3. Let g = i + r. Which is smaller: g or 4? 4 Let r = 0.1 - -0.3. Let h = r + -1.5. Let n = h - 4.9. Is 1 at least n? True Suppose -4*s + 14 - 38 = 0. Let l be 3/s + 6/4. Which is greater: 0 or l? l Let c be (7 - 1)*(-1)/(-2). Let p be (-2)/c + 28/(-3). Let z(x) = -x**2 - 11*x - 10. Let k be z(p). Which is smaller: 5/4 or k? k Let s be 34/(-90) - 18/81. Is -2 equal to s? False Let w = 221/1501 + 5/79. Which is greater: 1 or w? 1 Suppose 0 = u + 4*u. Which is greater: u or -5/6? u Let n = 35 + -22. Let m = -12 + n. Is m bigger than -1/10? True Let w be ((-18)/(-4509))/((-4)/3). Which is smaller: w or 0? w Suppose 3*l = -l + 5*q - 19, -5*l = -5*q + 20. Let f be ((-385)/(-100) - 4)/((-1)/(-12)). Which is greater: l or f? l Let k be 4*3/6 - -4. Suppose k = 3*x + m, 6*m - m = -5*x + 10. Which is smaller: 4 or x? x Let r = -12 - -13. Is r less than or equal to -3? False Suppose 7*y = -6*y - 26. Let b = -7 + 4. Is b at least y? False Suppose 3*f = -3*b + 8*b + 5, -16 = -b + 4*f. Is -9 >= b? False Let s be (-2)/((-4)/(4 + -3)). Which is smaller: s or 0? 0 Let b = -2 + 10. Suppose -8 - 2 = -5*j. Suppose -j*a - b = -2. Is a at least as big as -1? False Let a = -5 + 2. Let p = 3.4 + a. Let q = p - 0.5. Which is greater: -1 or q? q Let n = 13.9 - 2.9. Let o = n + -10.96. Is o at most 0? False Suppose 16 = -r + 5*r. Suppose 0 = 2*v + r - 18. Are 9 and v unequal? True Let t(w) = 2*w**2 + 3*w - 10. Let c be t(6). Are 79 and c equal? False Suppose 3*b - 6*p + 12 = -3*p, 0 = -2*b - 3*p + 17. Let v = b - -5. Suppose m = -0*m + v. Which is smaller: -0.1 or m? -0.1 Let o be ((-6)/(-333))/(2/(-54)). Let d = 22/259 - o. Let p = -0.1 - -0.2. Which is bigger: d or p? d Suppose -5*v + 0*v - 50 = 0. Let q be 0/2 - v/2. Is 4 greater than q? False Let p = 2.3 - -2.2. Let a = -5 + p. Let w = a + 0.7. Which is smaller: 2 or w? w Suppose 1 + 3 = -2*q. Let p(r) = -r**3 + 12*r**2 - 10*r - 14. Let l be p(11). Which is smaller: q or l? l Let b = -2 + 8. Suppose -5*j - 7 = 3*s, 5*s + 0*j = -3*j + 15. Is s at least b? True Let g be 50/(-3)*(-18)/(-15). Do g and 2 have the same value? False Let a(x) = x**3 + 5*x**2 - 1. Let j = 15 + -20. Let d be a(j). Is d < -1/3? True Suppose -v + 2*h = -0 + 1, 4*h + 4 = 0. Is v less than -1? True Let a = -20.52 + 24. Let w = a - -0.32. Let r = -0.8 + w. Is r equal to 0.1? False Let d = -3693 - -77317/21. Let g = 88/7 + d. Let y(o) = o - 4. Let j be y(6). Is g < j? True Let l be 2/(-10)*5/(-4). Let k = -4 - -8. Let a(z) = -z**2 + 5*z - 5. Let t be a(k). Which is greater: l or t? l Let x(v) be the third derivative of -v**5/60 + 5*v**4/24 - v**3/2 - v**2. Let h be x(4). Which is smaller: h or -2/29? -2/29 Let m be (-12625)/(-10)*(-1)/(-15). Let o = 84 - m. Let u be -2 + (-1 + 4)*1. Which is greater: o or u? u Let o = 0 - 0. Let p(n) = -n**2 - 3*n + 3. Let i be p(-3). Suppose -i = -c - 2*c. Which is bigger: o or c? c Let c(q) = q**2 + 11*q + 11. Let a be c(-7). Which is bigger: a or -16? -16 Suppose 8*m = 2*m + 12. Suppose -3 = -m*q - 5. Is q equal to 4? False Let q be (2/(-3))/((-30)/(-315)). Are -1/5 and q unequal? True Let h = 106 + -105.8. Which is greater: -0.38 or h? h Let l be ((-6)/(-4))/(42/(-1560)). Let t = -56 - l. Let z(d) = d**3 - 2*d**2 + d. Let h be z(1). Are t and h unequal? True Suppose -4*r - 4 = -4*c, -5*c - 2*r - r = 19. Let l be c*((-6)/(-2) + 0). Let b = 8 + l. Do b and 6 have different values? True Let p(s) = -s. Let n(d) be the first derivative of 3*d**2/2 + d + 3. Let x(o) = -n(o) - 4*p(o). Let k be x(2). Do 2/9 and k have different values? True Suppose -5*x - 6 - 7 = -3*p, 2*x = -4*p. Let f = 433/4620 - -1/660. Which is smaller: f or p? f Let d = 0.7 + -0.7. Let x = -2.96 + 3. Is d at least as big as x? False Let d be -1 + (1 - -2) - -12. Let j be (-4)/d - 46/(-14). Let f be (9/(-18))/((-1)/6). Is j at most f? True Let n = 0.68 - -0.32. Is n > 110/3? False Let i be -1*3/1 + -2 + 6. Are i and 2/97 equal? False Let t = -145 - -174. Which is smaller: 27 or t? 27 Let k = 141 - 5783/41. Let t = 0 - -1. Which is smaller: k or t? k Let j = 4821/7 - 684. Which is greater: j or 4? j Suppose -3*v + 8*v - 10 = 2*h, 2*v + 5*h - 4 = 0. Which is greater: 7 or v? 7 Let x(f) = 6*f**2 - 10*f. Let q(m) = m**2 - 2*m. Let u(d) = 11*q(d) - 2*x(d). Let g be u(-1). Which is smaller: g or 0.05? 0.05 Let a = 15 + 29. Let q = a + -40.2. Let f = 4 - q. Is -0.3 != f? True Let v be (1252/66)/((-8)/(-84)). Let i = 199 - v. Which is greater: i or 0? 0 Suppose 0 = 2*q - 8, -4*v - 71 = v + q. Is v smaller than -16? False Let a = 8 + -3. Let n = a - -1. Suppose -5*r = -3*r + n. Are -3 and r non-equal? False Let v be -4*(-1 - 5/2). Suppose -4*m + v = h, 3*m + h + 10 = 5*m. Is m at least -2/3? True Suppose 0*o = -o + 4*b - 371, 4*o + 1504 = -4*b. Let w = -7127/19 - o. Is w greater than -1? True Let l = 11 + -20. Let c be -1 - (0 + 3/l). Is -0.08 < c? False Let a = 0.55 - 0.85. Is a <= 25? True Let o be ((-679)/(-3724) - 1/7)/3. Is 1 <= o? False Let g = -0.12 + 0.02. Which is smaller: 4 or g? g Let p = 1336 - 921. Let x = p + -6227/15. Is -1 at least x? False Suppose 0 = 5*w - 0*w - 1850. Let g be 7*134/w + -2. Let f = 5/37 - g. Do f and 1 have the same value? False Suppose 5*h + 0*j - 5*j = 10, 11 = -5*h - 2*j. Which is smaller: -4/5 or h? h Let s(f) = 6*f**2 - f. Let p be s(1). Suppose p = 2*x - 3. Let u = -5 + x. Is u at most as big as -2? False Let p(k) = k**2 - 6*k + 6. Let w be p(5). Suppose -8 = 4*b + 2*z, b - 22 = 4*z - 6. Suppose b*r - r = -w. Which is smaller: r or -2/7? -2/7 Suppose -4 = o - 15. Is o at most as big as 11? True Let t be ((-16)/(-380))/(6/45). Is t smaller than 0? False Let p = 0.28 + 0.12. Let j = 0.6 - p. Which is bigger: 2 or j? 2 Let k be 12328/6*2/(-24). Let u = -171 - k. Which is greater: u or 0.2? u Let d be 2/(1/(21/12)). Which is bigger: 5 or d? 5 Let d = 0 - 0.1. Let r = d + 0.2. Let m = 41 + -40. Is m >= r? True Suppose 2*q + 2*q = -b - 33, 2*q - b + 15 = 0. Which is bigger: -5 or q? -5 Suppose 3*g = 4*t + 1 - 4, -t + 5*g + 22 = 0. Is t at most as big as -8? False Let g = 85 + -85.1. Which is greater: -1/6 or g? g Suppose 4*q - 51 + 3 = 0. Which is smaller: 5 or q? 5 Let z(j) = 5*j - 1. Let t be z(1). Let p be 3/6 + t/8. Which is smaller: p or -1? -1 Suppose -3*s + 35 = 2*s. Let y(u) be the third derivative of -u**6/120 + u**5/10 + u**4/4 + u**3/2 + 2*u**2. Let n be y(s). Is n > -4? False Let h(d) = -7*d**3 - 8*d**2 + 3*d + 8. Let r(i) = i**3 + i**2 - 1. Let q(t) = -h(t) - 6*r(t). Let u be q(-3). Is u smaller than -6/7? True Let l = -74 - -74. Is l greater than or equal to -36? True Let i be (0/(-1))/(-4 + 7). Which is greater: 1 or i? 1 Let v = -0.4 - 0.8. Let y = 0.8 + v. Which is bigger: y or 2? 2 Let d = 3.3 + -3. Let t = 0.3 - d. Which is smaller: t or -1? -1 Let p be (-7)/30 - 27/45. Which is greater: -2 or p? p Let q(g) be the third derivative of -g**6/120 - 7*g**5/60 + g**4/3 - g**3/6 - g**2. Let x be q(-8). Is -1 less than x? False Let r = 5 - 6. Let b be (r - (2 - 2)) + 2. Let g = 89/24 + -19/8. Are g and b equal? False Let s(i) = i**3 + 6*i**2 - 8*i - 7. Let b be s(-7). Does b = -1/31? False Suppose -5*v = -2*c + 4, -3*v = 3*c + c - 8. Suppose v = 4*q - 0*q
{ "pile_set_name": "DM Mathematics" }
14, 0 = 5*i - 3 - 7. Suppose 5*k = -41 + 106. What is the remainder when k is divided by t? 5 Let x(i) = 9*i**2 - 2*i - 3. Suppose 3*a = -a - 16. Let q be (12/15)/(a/10). Calculate the remainder when x(q) is divided by 20. 17 Suppose 24 = -8*t + 2*t. What is the remainder when (-495)/18*(-3)/((-15)/t) is divided by 9? 4 Let h be 14/(-4) - 10/(-20). Let w(t) = 6*t - 23. What is the remainder when (1 + 68)*h/(-9) is divided by w(6)? 10 Let b = -21 + 36. What is the remainder when ((-114)/90 - 9/(-15))*-87 is divided by b? 13 Let s(z) = z**3 + 5*z**2 - 5*z + 7. Let a be s(-6). Let j be (3 + -1)*12/8. Let i = j + a. What is the remainder when 13 is divided by i? 1 Suppose -27*r + 1357 = -2423. What is the remainder when r is divided by 41? 17 Let h(k) = -38*k**2 - 2*k - 4. Let l(r) = r**2 + 2. Let q(o) = -h(o) - l(o). What is the remainder when q(-1) is divided by 14? 9 Let r(a) = -12*a + 1. Let x be 8/60 + (-416)/(-30). Let u(z) = -z**2 + 17*z - 20. Calculate the remainder when r(-7) is divided by u(x). 19 Suppose -2*a - 3*m = -82, -5*a + m + 137 + 85 = 0. Suppose 0 = 2*j - a - 14. What is the remainder when j is divided by 8? 5 Let p = -24 - -41. Suppose 15*w = 238 + p. What is the remainder when w is divided by 4? 1 Let s = 1664 + -743. Calculate the remainder when s is divided by 14. 11 Suppose 1 = 4*g - 3. Let s(j) = 8*j**3 + j - 1. Let a be s(-3). What is the remainder when g/2*a/(-5) is divided by 12? 10 Let g = -1248 + 1985. What is the remainder when g is divided by 37? 34 Suppose 34 = -t - 5*w + 105, 3*w = -4*t + 216. Suppose 4*l + t - 491 = 0. Suppose -11*p = -6*p - l. Calculate the remainder when p is divided by 12. 10 Suppose -4*y = 48 + 72. Let s = y - -39. Suppose f + 30 = 4*j - 15, -j + f = -s. Calculate the remainder when 21 is divided by j. 9 Let j = 8 + 14. Let r(o) = -o**2 - 6*o + 7. What is the remainder when j is divided by r(-5)? 10 Let o(g) = g**3 + 3*g**2 + 3*g - 2. Let k be o(-4). Let w be 2/8 - k/8. What is the remainder when 6 is divided by -1 + w + 0/2? 0 Suppose -3*t - 535 = -8*t. What is the remainder when t is divided by (-45)/(-5)*(-6)/(-2)? 26 Let r(c) = c**3 - 28*c**2 - 89*c - 75. Calculate the remainder when 928 is divided by r(31). 46 Suppose -4*x = -5*x - m + 45, -2*x - 5*m = -105. Calculate the remainder when 117 is divided by x. 37 Let z = -35 - -59. What is the remainder when 97 is divided by z? 1 Suppose -367 = 2*v - 373. What is the remainder when v is divided by 1? 0 Let x(g) = -7*g - 4. Let v be x(-2). Suppose 0 = d + 4 - v. What is the remainder when (-1)/4 + (-122)/(-8) is divided by d? 3 Suppose -4*d - 24 = -4*s, 3*d = -5*s - d + 30. What is the remainder when 3*(2 - (-15)/9) is divided by s? 5 Suppose -2*z - 8 = 0, 0 = i - 4*z - 7 - 25. Suppose 4*m + m = 3*o - 25, -o + 6 = -4*m. What is the remainder when 306/o - (-8)/20 is divided by i? 15 Let p(u) = u**3 - u**2 + 2*u + 22. Let z(b) = b**2 + 4*b + 4. Let o be z(5). Suppose 4*w = -17 + o. What is the remainder when p(0) is divided by w? 6 Calculate the remainder when 149 is divided by (-417)/(-9) - 2/(-3). 8 Let a = -130 + 93. Let r = a - -176. Suppose -o - o + 92 = -3*l, -4*l - r = -3*o. What is the remainder when o is divided by 25? 24 Let p(d) = -d**3 + 20*d**2 - 17*d + 17. Let g(l) = -l**2 - 8*l + 12. Let f be g(-7). Calculate the remainder when p(f) is divided by 21. 13 Suppose -3*u - 72 = -3*i, -4*i + 0*u = u - 121. What is the remainder when 53 is divided by i? 24 Suppose 10*x - 7*x - 51 = 0. What is the remainder when (-10)/30 + (-148)/(-3) is divided by x? 15 What is the remainder when 46 - (6/2 - 1) is divided by 15/(-80)*16/12 - 525/(-20)? 18 Let z = -41 - -52. Let x(c) = -c**3 + 10*c**2 + 14*c + 13. What is the remainder when x(z) is divided by 10? 6 Let h = -12 + 16. Suppose 0 = -h*i + 15 + 69. Calculate the remainder when ((-12)/10)/(9/(-300)) is divided by i. 19 Suppose -42 = -6*g - 12. Suppose 4*k + 2*w = 130, -4*k + 5*w = -g*k + 10. Let j(q) = 8*q**2 + 1. What is the remainder when k is divided by j(1)? 8 Suppose -k - 33 - 13 = -m, 3*m = -2*k + 118. Suppose -b = -l + 8, -2*l + l = 5*b - 26. What is the remainder when m is divided by l? 9 Suppose -15*p = -10*p - 860. What is the remainder when p is divided by 29? 27 Let x be (1/3)/((-1)/(-21)). Suppose -16 = -x*o + 3*o. Suppose -u + 2 + o = 0. Calculate the remainder when 22 is divided by u. 4 Let z be (7 - -881) + (0 - 3). Suppose -10*q = -z + 275. Calculate the remainder when q is divided by 11. 6 Suppose 3*c - 87 = 3*u - 21, -3*u - 32 = -c. Calculate the remainder when 591 is divided by c. 13 Let p(v) = -v**2 + 4*v + 22. Let r be p(0). Suppose -4*s + 31 + 9 = 4*o, s - 2*o = r. What is the remainder when 81 is divided by s? 11 Suppose -2*o + y + 31 = 0, -2*y - 2*y = 2*o - 36. Calculate the remainder when 19 is divided by o. 3 Let z = 812 - 557. Calculate the remainder when z is divided by 65. 60 Suppose n + n - 43 = -5*j, 4*n - 4*j - 72 = 0. What is the remainder when n is divided by 2 - (2/3 - (-64)/(-6))? 7 Let w = 1224 + -1128. What is the remainder when w is divided by 40? 16 Let w = -564 - -607. Calculate the remainder when 269 is divided by w. 11 Calculate the remainder when 122 is divided by ((-32)/(-6))/((-68)/24 + 3). 26 Let c be 14/4 + (-18)/12. Suppose c*b - 90 = -p, 0 = -b + p + 42 - 3. Calculate the remainder when b is divided by 23. 20 Suppose 2*q + 4*i = 64, 4*q - 2*i + 4*i - 140 = 0. What is the remainder when 122 is divided by q? 14 Let z = -8 + 36. Calculate the remainder when z is divided by 20 + -4 + 4 + -5 + 1. 12 What is the remainder when (-2)/4*-10*3 is divided by 4? 3 Let h = 70 + 48. Let m(y) = -y**3 - 41*y**2 + 36*y - 235. What is the remainder when h is divided by m(-42)? 16 Let w = -33 - -47. Let b = w - 11. Calculate the remainder when 6 is divided by b. 0 Let o be 336*(2 + (-12)/4). Let q(m) = 12*m**2 + 3*m + 3. What is the remainder when q(-2) is divided by (-10)/4*o/70? 9 Suppose 7*h = 6*h + 89. Suppose 3*n = 116 - 23. Calculate the remainder when h is divided by n. 27 Suppose 3*x = -5*j + 121, 0*x + j - 125 = -3*x. Calculate the remainder when 122 is divided by x. 38 Let p(w) = -26*w**3 - 5*w**2 + 4. Calculate the remainder when 246 is divided by p(-1). 21 Let g(z) = 3*z**3 + 36*z**2 - 2*z + 25. What is the remainder when 107 is divided by g(-12)? 9 Suppose -362 = -3*m + h, -m + h + 92 + 26 = 0. What is the remainder when m is divided by 42? 38 Suppose 197*g - 193*g = 96. What is the remainder when 73 is divided by g? 1 Let v = 587 + -503. Calculate the remainder when 333 is divided by v. 81 Suppose a - 15 = -s, -2*a + 99 = 5*s - 5*a. Suppose -s*m = -13*m - 75. Calculate the remainder when 55 is divided by m. 10 Let v = 15 + -12. Let b be (725/10)/(v/6). Suppose 4*t + t - b = 0. Calculate the remainder when t is divided by 11. 7 Suppose 96 = 4*l + s, 9*l - 4*s - 99 = 4*l. What is the remainder when 147 is divided by l? 9 Suppose -4*q = -3 - 5. Let i be 10*((-5)/q)/(-5). Suppose -i*f - 3*u + 35 = -0*u, 2*u + 6 = 4*f. Calculate the remainder when 7 is divided by f. 3 What is the remainder when 13 is divided by (-9)/(-5) + (-10)/(-50)? 1 Suppose 6*n - 2*n = 264. Let r(s) = -s + 3. Let u be r(0). Let x(y) = 2*y**2 - 2*y + 5. Calculate the remainder when n is divided by x(u). 15 Let a(b) = -13*b + 10. Suppose v - 10 = 3*v. Suppose 0 = -4*i + 155 - 51. What is the remainder when a(v) is divided by i? 23 Suppose -4*l + 2*p = -2068, 0*l - 4*l = -p - 2068. Calculate the remainder when l is divided by 20. 17 Suppose 19*d + 3458 = 57*d. Calculate the remainder when d is divided by 24. 19 Suppose -17*b + 18059 - 5666 = 0. Calculate the remainder when b is divided by 10. 9 Suppose -4*d = -3*z - 71, 5*d - z = z + 94. Suppose -170*n + 261*n - 5278 = 0. Calculate the remainder when n is divided by d. 18 Let m be -2 + (-5)/(5/92). Let r = 117 + m. What is the remainder when 88 is divided by r? 19 Suppose q - 19 = -2*k, 0 = -2*q + 3*k - 0*k + 17. Suppose -2*b = 8 - 2. What is the remainder when -1 + (-26)/(b/3) is divided by q? 12 Suppose 0 = -r + 14 + 12. Suppose -2*b - 11 = -3*f, 0 = 4*f + f - 4*b - 19. What is the remainder when 2497/33 - (-1)/f is divided by r? 24 Calculate the remainder when 51 is divided by 5/(3/(-6)*6/(-9)). 6 Let q(v) = 4*v**2 - 7*v - 1
{ "pile_set_name": "DM Mathematics" }
3) + (306 - 259) 26 What is 8 + (-5 - 4) + -22 + 58? 35 What is the value of 14 + (3 - (11 + -4)) - (-1 - (-20 + 9))? 0 What is -143 - ((11 - ((33 - -2) + -9)) + 4) - -15? -117 (3 + -11 - 12 - -6) + 138 - 18 106 Calculate (-12 + 2 - 7) + -8 + -2 + 10. -17 Evaluate 13 - (-1 + 4 + -3 - -10) - (-53 - 1). 57 5 + -19 + -9 + 15 + 37 29 What is -36 - -11 - -23 - (7 + (-48 - (-7 - -7)))? 39 Calculate -40 - (-46 + -34) - 83. -43 -42 + 147 + -100 + -129 + -8 -132 92 - (107 - (68 - 7)) 46 -6 - 4 - ((32 - 15) + 0 + -31) 4 (13 + -14 - 4) + -31 + 97 61 7 + -7 + (58 - (-7 + 6 - 11)) 70 What is 1 + 21 - ((64 - 31 - -14) + -49)? 24 Calculate 56 + (36 - -11 - 117) + 55 + 0. 41 Calculate -46 - (27 - (10 + -28) - 30). -61 What is 152 - 13 - (251 - 77)? -35 What is the value of -17 + 29 - 66 - ((7 - 10) + (1 - -2))? -54 What is (-2 - (-19 - -21 - (-2 - -19))) + -1? 12 Evaluate -165 + 57 + (28 - -7). -73 Calculate 355 - 336 - (0 + -93). 112 Calculate -30 + 2 + -5 + 20 - (-1 + 1 + 8). -21 What is (-40 - (43 - (73 + 30))) + 22? 42 What is 0 + -22 + -1 + 25 + (34 - (-7 - -55))? -12 What is the value of 16 + -1 - (-30 + (27 - 19) - -13 - -3)? 21 -23 + (-36 - -19 - -21) + 9 -10 What is the value of 108 + -98 + (9 + -13 - -4)? 10 What is -4 + -5 + -1 - (14 + -3 + 5)? -26 Evaluate -38 + (-71 - (-41 - 52)). -16 Calculate (-53 - -82) + 27 - 126. -70 Evaluate 36 - (-13 - (0 + -6 + 5 - 4)). 44 What is the value of (-181 - -111) + (-49 - -124)? 5 11 + 3 + 15 + 27 + -65 -9 Calculate 108 - (-101 + 76 - -66). 67 Calculate -151 - -162 - -190 - 75. 126 What is the value of (232 + -249 - (40 + -9)) + 182? 134 9 + (13 + (-2 - (15 - 4)) - 4) 5 What is -33 + (-100 - -137 - 95)? -91 Evaluate -186 + 146 - ((-1 - -2) + 3 + -12 + 5). -37 14 - (4 + 3) - (5 - (-11 - -1)) -8 What is -56 + (-10 - 7) + 18 + -4 + 0? -59 Calculate -72 - (-34 + 83 + -92). -29 Calculate 3 + 95 - (3145 - 3114). 67 Evaluate -37 - -2 - (-472 + 467). -30 (-39 - (20 - 50)) + 53 + -2 + -11 31 Evaluate 30 + 0 + -1 + 47 + -102 + 45. 19 What is 3 + 9 + (8 - 0) + (-50 + 19 - -56)? 45 -1 - 13 - (134 + -81 + -26) -41 -3 - -104 - (53 + -90 + 47) 91 Evaluate 55 + (0 - 5) - (-62 - -42). 70 Evaluate 6 - ((-11 - -27) + -7) - (0 - -2) - -54. 49 What is the value of 74 + ((20 - (22 - -8)) + 6 - -6)? 76 50 + (-1 - 2) + (-14628 - -14657) 76 Calculate 96 + (38 - 97) - -20. 57 -3 - -20 - ((-7 - (5 + -13)) + (14 - 20)) 22 -58 + -24 + 9 - -41 -32 What is the value of 107 - 91 - -120 - 96? 40 What is (-2003 - -2034) + -46 + -1? -16 64 + -76 + (-10 - 63) + (-1 - 5) -91 9 + -2 + ((2 + 4 - 5) + -1 - 0) 7 Evaluate 24 - (17 - ((-20 - -12) + 55) - -14). 40 What is 0 + (10 - (30 + -34) - (-2 + -39))? 55 What is the value of 2 + 70 - (292 + (-511 - -257))? 34 Evaluate 0 + (9 - 11) + (-9 - (5 - 27)). 11 Evaluate (-9 - 4 - (-5 + 2)) + (-51 - -9). -52 What is -35 + (-87 - -36) + 56? -30 Evaluate -1 + -13 + (-23 - (39 + 0 - (1000 - 1021))). -97 (11 + -10 - 24) + 43 + 9 29 What is the value of (18 - 1 - (299 - 299)) + -6? 11 Calculate (-62 - (0 + 1 - -2)) + (-5657 - -5645). -77 Calculate 702 - 694 - (2 - (-63 + 0) - (-7 + 6)). -58 -83 - ((3 - (1 - 3)) + (-6 - 53) + 51) -80 Calculate 66 - (12 + -58 - (-149 + 58)). 21 Evaluate -3 - (82 + -91 + (3 + -1 - 17)). 21 What is 43 + -34 + (3 - 77)? -65 Evaluate 51 + (-46 - (-30 + 44)). -9 22 + -8 + 8 + -29 -7 Calculate 50 + (-72 - -36) + (2 - -56) + -1 + 2. 73 -6 - (2 + -14 - ((57 + 2 - 20) + 1)) 46 Evaluate 90 - (-66 - 39 - -102). 93 Calculate (12 + -8 + 25 - 27) + 10. 12 Calculate 26 - -13 - (1 + 6 + (-3 - (1 + 3))). 39 Evaluate (-86 - -22) + 99 + -70. -35 -23 + 134 + -94 - -25 42 ((6 - 11) + -12 + 17 + -11 - -10) + -59 -60 Evaluate -17 + (115 - 9) + -73. 16 -36 + (-35 - (30 - 35)) -66 Evaluate (1 - -33) + (28 - 89 - -75). 48 -6 + 58 + -84 - -6 -26 (-7 + 14 - (-3 - (-19 + 13))) + 28 32 1 - (40 + -2 - -15) - (1 + 14 + 0) -67 Calculate (8 - 41) + 27 - (0 + 57). -63 Calculate 85 - (-132 + 55) - 45. 117 What is 9 + 14 + -14 + -7 - 12? -10 Evaluate 7 + 28 + -36 + -22. -23 69 - (-5 + 2 + 23 + 17 + -37) 69 -6 + (5 - (3 + 1 - -10)) + 8 + -63 -70 What is (-434 - (-303 - 139)) + (-79 - 1 - (-1 + 2))? -73 Calculate -12 + -1 + -8 + 40 + 9 + 6. 34 What is the value of (6 - (1 + -4)) + (-56 - (16 + -28 + -15))? -20 Evaluate (-97 + 76 - -31) + -66 + 3 + 3 + -3. -53 What is the value of (-76 - -10) + 15 + -4 - -21? -34 Evaluate 6 + 36 + -50 + 23. 15 (0 - 29 - (168 - 186)) + 41 30 What is the value of -48 - (2 + -37 - (-8 + -7))? -28 8 + -1 + (-94 - -93) + (-10 - 2) -6 What is the value of (2 - ((-9 - -15) + 5 + -14)) + (-60 - -3)? -52 Evaluate -32 + (167 - -25) + -12. 148 Calculate -20 - (-38 + (-14 - -31) - -12). -11 Evaluate -58 - (43 + -76 + 22). -47 What is the value of (6 - (42 - (6 - -18))) + -7 + 2 + -1? -18 (0 - 4 - -11 - (-37 - (-17 - 93))) + -13 -79 What is the value of (-40 + 149 - 133) + (16 - 0)? -8 Evaluate -38 + -6 + -48 + 43 + -1. -50 What is the value of 5 - (7 + 10 + -14 - (4 + -4) - -5)? -3 19779 + -19897 - (0 + -35 - 2) -81 81 - (-50 + -55 - -144) 42 7 + -2 - (-181 + 145 + 10) 31 What is 0 + 8 - (-2 - -1) - (-3 - 3 - -18)? -3 Calculate -44 - (6 + -4 + -21 + 8 - (-23 + 14)). -42 What is the value of -122 + -23 + 8 + 11 + 10 - 0? -116 Calculate (1 - -46 - (-136 + (142 - -18))) + -4. 19 Calculate 63 - (-15 + 12 + 6 + -4 + -24 - -14). 74 What is -2 - (-21 + 7 + 7) - (18 - (-19 + 51))? 19 What is (5 - -120) + -153 + (-2 - 82)? -112 (-55 - (-6 + -12 + 9)) + (4 - -8) -34 -25 + 3 - (0 + -22 + (-3055 - -2959)) 96 What is the value of 0 + -14 + (-419 - -440) - 16? -9 Calculate (65 - -1) + (-19 - 0) + 0 + (-6885 - -6892). 54 Calculate -13 - (11 - 26 - -8) - (-5 - -2). -3 Calculate 27 + (-40 - (-7 - 4)) + 84. 82 What is the value of 10 + 3 + -56 + 71 + -27? 1 What is the value of 14 + 0 + -31 + 26 - 9? 0 Calculate (25 - 28 - (-11 + 4)) + 28 + (0 - 5). 27 What is 116 - (-14 + (-21 + 36 + 21 - (-1 + 12)))? 105 Calculate 112 + (-34 - (28 - 52)) - 24. 78 Calculate -77 + 16 + 3 + 4 + 4. -50 5 - (22 + (13 + 19 - 11)) -38 ((-35 - -15) + 22 - -3) + -2 + 9 + 1 13 Evaluate -74 + (4 - 13) - (12 + -10 + 0). -85 What is the value of (-5 - (-2 - 6 - 21)) + 11 - -7? 42 (-73 - -84) + (-49 - -21) + -1 + 6 -12 What is the value of -1 - -1 - -4 - (-131 - (-26 + -101)) - 9? -1 What is 108 + -116 + (-1 + 6 + -48 - 0)? -51 Evaluate (-80 - -85) + (-15 - -1) + 1 + -30 + 12. -26 What is the value of (4 + 23 - 14) + -13 + (5 - 3) + 24? 26 2438 + -2401 - (0 - -27) 10 Evaluate 65 - (56 + -17 + 16) - ((0 - -72) + -1). -61 Calculate -6 + 52 + (-3 - -10 - 6 - -9). 56 What is the value of 97 - (87 - 18) - -46? 74 Evaluate 119 - (2 - -1) - (-28 + (-16 + 48 - 10)). 122 Calculate 1 + (4 - 2) - (-38 - -105). -64 -2 + 8 + (49 - (22 - (28 - 17))) 44 Evaluate 95 + -7 - (-55 - (3 - 70)). 76 Evaluate 36 - (66 + 38 + (-127 - -45)). 14 Evaluate -3 + 1 + ((6 - (11 - 11)) + 19 - 24). -1 What is the value of 64 + 25 + -189 + 15 + (-1 - 5)? -91 Calculate -62 + (1 + -3 - (10 + -2 + (-109 - -108))). -71 What is the value of (-1 - 95) + (1 + 22 - (63 + -49))? -87 -139 - (-5 - (14 + -3) - (20 + -15)) -118 Calculate (18 + -35 - -13) + 2 - (2 + 3). -7 Evaluate -6 + -2 + 16 + -10 - -18 - 4. 12 -3 + 18 + (-17 - -15 - 10) 3 What is (69 - -7) + (19 - 14) + 0 + 1 + -8? 74 -3 - (-5 - (-4 - 39) - 67) 26 What is the value of 81 - (21 + -1 - -18)? 43 Evaluate 8 - (0 - -3 - (-71 + 35 + 37)). 6 Calculate -89 + -116 + 235 + -153. -123 What is the value of -134 + 132 + -48 + -10? -60 What is (-35 + 16 - ((-113 - 10) + 10)) + (12 - -2)? 108 What is (-2 + -19 + -2 - -43) + -13? 7 Evaluate 3 + 24 - (1930 - 1926). 23 Evaluate -13 + -21 + (58 - 34) - (-1 + 13). -22 30 - (-6 + 33) - (9 - 8) 2 Evaluate -13 + (6 - 2) + 3 + (18 - 4) - 9. -1 Evaluate 1 - (1 + -2) - (-8444 + 8369). 77 Evaluate 89 + (-21 + 0 - (-501 + 492)). 77 Evaluate (27 - 7) + (-3 - 12 - (-10 - 5)). 20 What is the value of 101 + -1 + (-9 - ((5 - -22 - 24) + -26))? 114 Calculate -6 + 6 + -4 + -11 + -1 + -25. -41 What is (-2 - -42) + (25 - 78) + 28? 15 What is the value of 4 + -1 + -4 - 43 - (-291 + 286)? -39 Calculate 254 + -223 - (40 - -2). -11 -23 - (-14 - -15 - 47) 23 -50 + 109 + (-75 - 12) -28 Evaluate (5 - (193 - 82)) + 12. -94 What is -1 + 6 + (-17 + (-2 - -4) - -13)? 3 Evaluate 26 - (-3 + 66) - -94. 57 What is (-3
{ "pile_set_name": "DM Mathematics" }
between 5:24 PM and 3:07 AM? 583 How many minutes are there between 6:45 AM and 10:22 AM? 217 What is 679 minutes before 3:15 PM? 3:56 AM How many minutes are there between 5:11 PM and 11:57 PM? 406 How many minutes are there between 10:43 PM and 1:18 AM? 155 What is 583 minutes after 2:46 AM? 12:29 PM How many minutes are there between 11:46 PM and 8:14 AM? 508 How many minutes are there between 9:08 AM and 3:56 PM? 408 How many minutes are there between 5:17 AM and 2:47 PM? 570 How many minutes are there between 9:54 PM and 10:45 PM? 51 How many minutes are there between 10:49 AM and 11:28 AM? 39 What is 405 minutes after 5:22 PM? 12:07 AM What is 530 minutes before 4:27 PM? 7:37 AM What is 209 minutes before 9:10 AM? 5:41 AM What is 159 minutes before 11:24 PM? 8:45 PM What is 675 minutes before 11:18 PM? 12:03 PM What is 699 minutes after 12:08 PM? 11:47 PM How many minutes are there between 2:35 PM and 10:58 PM? 503 What is 693 minutes before 9:45 PM? 10:12 AM What is 514 minutes after 9:49 AM? 6:23 PM What is 670 minutes after 9:40 AM? 8:50 PM What is 53 minutes after 9:06 PM? 9:59 PM What is 41 minutes after 4:17 AM? 4:58 AM How many minutes are there between 8:42 AM and 7:10 PM? 628 How many minutes are there between 8:46 PM and 4:29 AM? 463 How many minutes are there between 12:43 PM and 11:03 PM? 620 How many minutes are there between 1:36 PM and 11:53 PM? 617 How many minutes are there between 7:06 PM and 2:05 AM? 419 How many minutes are there between 6:18 AM and 6:56 AM? 38 What is 184 minutes before 4:28 PM? 1:24 PM What is 625 minutes after 5:18 PM? 3:43 AM How many minutes are there between 9:44 AM and 8:04 PM? 620 What is 714 minutes before 1:59 PM? 2:05 AM What is 672 minutes after 9:01 AM? 8:13 PM How many minutes are there between 11:42 AM and 6:24 PM? 402 What is 664 minutes after 6:40 PM? 5:44 AM What is 488 minutes before 11:07 PM? 2:59 PM How many minutes are there between 11:23 AM and 6:22 PM? 419 How many minutes are there between 6:18 PM and 3:13 AM? 535 How many minutes are there between 3:53 AM and 6:22 AM? 149 What is 50 minutes after 3:55 PM? 4:45 PM How many minutes are there between 5:16 PM and 2:59 AM? 583 How many minutes are there between 11:08 AM and 10:33 PM? 685 What is 448 minutes before 4:01 AM? 8:33 PM How many minutes are there between 2:14 PM and 2:26 PM? 12 How many minutes are there between 5:24 PM and 1:06 AM? 462 How many minutes are there between 3:45 PM and 9:59 PM? 374 What is 401 minutes after 10:34 PM? 5:15 AM How many minutes are there between 2:59 PM and 7:23 PM? 264 How many minutes are there between 1:38 AM and 2:41 AM? 63 How many minutes are there between 10:10 PM and 8:22 AM? 612 What is 493 minutes before 10:45 PM? 2:32 PM What is 507 minutes after 11:01 PM? 7:28 AM What is 530 minutes after 5:46 AM? 2:36 PM What is 401 minutes after 5:12 AM? 11:53 AM What is 250 minutes after 4:53 AM? 9:03 AM What is 36 minutes after 9:08 PM? 9:44 PM How many minutes are there between 7:22 PM and 10:12 PM? 170 What is 202 minutes after 1:01 PM? 4:23 PM How many minutes are there between 4:01 PM and 3:20 AM? 679 What is 296 minutes after 8:17 AM? 1:13 PM How many minutes are there between 12:58 AM and 10:17 AM? 559 What is 472 minutes after 5:12 AM? 1:04 PM What is 596 minutes after 9:31 AM? 7:27 PM How many minutes are there between 6:30 PM and 7:59 PM? 89 What is 309 minutes before 6:56 PM? 1:47 PM How many minutes are there between 5:55 AM and 1:56 PM? 481 How many minutes are there between 4:48 AM and 2:43 PM? 595 How many minutes are there between 1:01 AM and 11:56 AM? 655 What is 354 minutes after 12:06 AM? 6:00 AM What is 152 minutes before 6:50 PM? 4:18 PM What is 432 minutes before 4:48 PM? 9:36 AM What is 504 minutes before 12:49 PM? 4:25 AM What is 410 minutes after 11:15 PM? 6:05 AM How many minutes are there between 10:58 PM and 11:17 PM? 19 What is 582 minutes after 5:17 AM? 2:59 PM How many minutes are there between 3:58 PM and 9:07 PM? 309 What is 410 minutes before 1:42 PM? 6:52 AM How many minutes are there between 5:40 AM and 2:32 PM? 532 What is 115 minutes before 12:36 AM? 10:41 PM How many minutes are there between 12:57 AM and 12:04 PM? 667 What is 699 minutes before 5:12 AM? 5:33 PM What is 456 minutes before 1:52 AM? 6:16 PM What is 154 minutes before 3:51 PM? 1:17 PM How many minutes are there between 6:09 AM and 9:26 AM? 197 What is 662 minutes before 3:22 AM? 4:20 PM How many minutes are there between 11:39 PM and 3:06 AM? 207 What is 402 minutes after 8:15 AM? 2:57 PM How many minutes are there between 2:56 AM and 12:47 PM? 591 How many minutes are there between 4:36 PM and 1:03 AM? 507 What is 625 minutes before 2:06 PM? 3:41 AM How many minutes are there between 5:12 PM and 7:19 PM? 127 What is 27 minutes before 6:30 PM? 6:03 PM How many minutes are there between 11:55 PM and 1:12 AM? 77 What is 546 minutes after 8:09 AM? 5:15 PM How many minutes are there between 2:51 AM and 12:10 PM? 559 What is 661 minutes before 10:50 PM? 11:49 AM How many minutes are there between 9:39 PM and 9:24 AM? 705 What is 466 minutes before 9:36 AM? 1:50 AM What is 549 minutes after 3:09 PM? 12:18 AM How many minutes are there between 12:29 PM and 8:30 PM? 481 What is 295 minutes after 9:33 AM? 2:28 PM How many minutes are there between 4:26 AM and 10:42 AM? 376 What is 158 minutes before 9:23 AM? 6:45 AM What is 344 minutes after 1:01 AM? 6:45 AM What is 317 minutes after 4:13 AM? 9:30 AM How many minutes are there between 11:29 AM and 2:35 PM? 186 How many minutes are there between 10:56 PM and 8:14 AM? 558 What is 39 minutes after 8:08 PM? 8:47 PM What is 371 minutes after 6:37 AM? 12:48 PM How many minutes are there between 11:07 PM and 8:37 AM? 570 What is 547 minutes after 1:39 AM? 10:46 AM What is 595 minutes before 9:39 PM? 11:44 AM How many minutes are there between 5:00 AM and 9:12 AM? 252 How many minutes are there between 2:36 AM and 2:45 AM? 9 What is 678 minutes before 3:16 AM? 3:58 PM How many minutes are there between 4:40 PM and 11:21 PM? 401 What is 423 minutes before 11:47 PM? 4:44 PM How many minutes are there between 2:14 AM and 10:27 AM? 493 How many minutes are there between 5:45 AM and 6:34 AM? 49 How many minutes are there between 8:35 PM and 11:11 PM? 156 What is 507 minutes before 1:59 AM? 5:32 PM What is 211 minutes before 8:29 AM? 4:58 AM What is 60 minutes before 9:20 PM? 8:20 PM What is 568 minutes after 4:28 AM? 1:56 PM How many minutes are there between 3:16 AM and 3:43 AM? 27 What is 624 minutes after 3:16 AM? 1:40 PM How many minutes are there between 9:58 PM and 3:39 AM? 341 How many minutes are there between 4:53 AM and 11:39 AM? 406 How many minutes are there between 9:37 AM and 3:49 PM? 372 What is 303 minutes before 8:51 PM? 3:48 PM What is 525 minutes before 1:19 PM? 4:34 AM How many minutes are there between 7:58 AM and 1:18 PM? 320 How many minutes are there between 1:27 PM and 6:04 PM? 277 How many minutes are there between 3:13 AM and 12:59 PM? 586 What is 675 minutes after 9:57 PM? 9:12 AM How many minutes are there between 2:47 AM and 12:46 PM? 599 What is 639 minutes after 4:11 PM? 2:50 AM What is 508 minutes after 8:30 AM? 4:58 PM What is 709 minutes after 1:58 AM? 1:47 PM What is 33 minutes before 1:40 AM? 1:07 AM How many minutes are there between 2:21 PM and 9:05 PM? 404 How many minutes are there between 11:52 PM and 9:08 AM? 556 What is 596 minutes after 11:59 PM? 9:55 AM What is 404 minutes after 4:53 PM? 11:37 PM How many minutes are there between 11:15 AM and 2:06 PM? 171 What is 260 minutes before 5:43 AM? 1:23 AM How many minutes are there between 12:00 PM and 6:34 PM? 394 What is 52 minutes before 11:47 AM? 10:55 AM What is 706 minutes before 6:03 PM? 6:17 AM What is 52 minutes before 10:47 AM? 9:55 AM How many minutes are there between 6:10 AM and 8:50 AM? 160 How many minutes are there between 9:48 AM and 1:05 PM? 197 How many minutes are there between 4:03 PM and 2:02 AM? 599 How many minutes are there between 5:53 AM and 7:35 AM? 102 How many minutes are there between 1:29 AM and 8:25 AM? 416 How many minutes are there between 10:42 PM and 5:20 AM? 398 What is 176 minutes after 9:11 PM? 12:07 AM What is 688 minutes before
{ "pile_set_name": "DM Mathematics" }
24443000131 - -1? 2224443000132 In base 5, what is 1230442 + 44022? 1330014 In base 10, what is 5044 - -22850? 27894 In base 4, what is 101000203 - 2330? 100331213 In base 15, what is -17c1254d - -3? -17c1254a In base 3, what is -1 + -1000210200012122? -1000210200012200 In base 4, what is 2 + -202110333221? -202110333213 In base 8, what is 673 + 246324? 247217 In base 11, what is 1399025 + 120? 1399145 In base 6, what is 2255 - 502053? -455354 In base 4, what is -1023 + -320321301? -320322330 In base 4, what is 1011 + 3130221? 3131232 In base 8, what is -401072076 - 2? -401072100 In base 10, what is 17 + -540150? -540133 In base 11, what is -3 + -30044737? -3004473a In base 8, what is -1665751 + 201? -1665550 In base 12, what is 12987923 - 0? 12987923 In base 14, what is -4389a2 + -d? -4389b1 In base 12, what is a - 829850? -829842 In base 12, what is 0 + 31b038? 31b038 In base 5, what is -23 - -443232142? 443232114 In base 5, what is 340211 - -11423? 402134 In base 12, what is -5aa7 + -347? -6232 In base 13, what is 3a + -325109? -32509c In base 2, what is 10001100100100 + -10000111010010? 101010010 In base 6, what is 345303454 - 0? 345303454 In base 3, what is -1112202001 - 222222? -1120202000 In base 15, what is -196e0b + -16? -196e22 In base 7, what is -34063013 - -3? -34063010 In base 5, what is -210114414122 + -3? -210114414130 In base 3, what is 1220111211100211 + 10? 1220111211100221 In base 4, what is -10 + -122313301313? -122313301323 In base 6, what is 504232244 - -12? 504232300 In base 12, what is -6b8880 - 61? -6b8921 In base 12, what is -150a946 + -29? -150a973 In base 16, what is 3171 - -384? 34f5 In base 3, what is 101022001 + 12010100? 120102101 In base 12, what is -19715 + -37? -19750 In base 11, what is -858277 - 71? -858338 In base 6, what is -40113 + -3312? -43425 In base 7, what is 444252535 - 5? 444252530 In base 15, what is -72497 + 3? -72494 In base 3, what is 10202202020020101 - -10? 10202202020020111 In base 2, what is 10000001101100010100011100 - 101? 10000001101100010100010111 In base 11, what is 2782212 + -40? 2782182 In base 10, what is 2 + 199989168? 199989170 In base 2, what is 1101 - -1101000001011110101? 1101000001100000010 In base 2, what is -100110111101011 + 11011110110? -100011011110101 In base 7, what is 16 - 366336? -366320 In base 10, what is 19 - 958994? -958975 In base 9, what is 342818 + 770? 343688 In base 7, what is -2202202130 - -2? -2202202125 In base 4, what is -1000023031 + 300? -1000022131 In base 11, what is 132184 + 5? 132189 In base 7, what is -33203 + -504? -34010 In base 3, what is 21110200 + -1011022? 20022101 In base 7, what is -34 - 653022450? -653022514 In base 15, what is -bec5 - -4401? -7ac4 In base 9, what is -2066 + 204388? 202322 In base 14, what is -2019223 - -1b? -2019206 In base 3, what is -1 - -2202221001220010? 2202221001220002 In base 6, what is -45 - -3253041? 3252552 In base 14, what is -12c6 + -8995? -9c7b In base 13, what is -8b - -a20c1b? a20b60 In base 11, what is 0 - 29a59892? -29a59892 In base 6, what is 13330 + -11351535? -11334205 In base 13, what is 172 + -519b? -5029 In base 2, what is -10010011110 - 1100001000011? -1110011100001 In base 4, what is 2113300 - 1032210? 1021030 In base 14, what is 1624 + 8830? a054 In base 11, what is 9 + -2937070? -2937062 In base 6, what is -14300015 + 3205? -14252410 In base 12, what is -5ab5 + 2817? -329a In base 7, what is 226 + 6655230? 6655456 In base 11, what is 608 + 4046? 4653 In base 7, what is 3526542342 + 3? 3526542345 In base 5, what is 120330112 - -1340? 120332002 In base 14, what is 3a22 - 1b55? 1cab In base 6, what is -12321 - 502351? -515112 In base 14, what is 7619068 + 8? 7619072 In base 8, what is -4734617 - -11? -4734606 In base 6, what is 114 - 155251325? -155251211 In base 5, what is -44 + -113040421? -113041020 In base 14, what is 711 + 8675? 8d86 In base 7, what is 0 + 112004063? 112004063 In base 13, what is -1 - -111695c9? 111695c8 In base 14, what is -4 - -34bc3a? 34bc36 In base 11, what is 118 - 13a6615? -13a64a8 In base 8, what is -1274 + 71742? 70446 In base 13, what is 407a + -1? 4079 In base 11, what is 122 + -a5530? -a5409 In base 10, what is 1009 + 31778? 32787 In base 2, what is 1010010111011101000101 + -11? 1010010111011101000010 In base 14, what is -5 - -9110? 9109 In base 11, what is -5129048 - 1? -5129049 In base 13, what is -9b26c19 + -4? -9b26c20 In base 10, what is 348007 - -104? 348111 In base 15, what is -2 - -26ac7b? 26ac79 In base 14, what is -1911 + -1009b? -119ac In base 9, what is -8428 - -6833? -1485 In base 9, what is 34447415 + 33? 34447448 In base 2, what is 1010 - 11101111101111100100111? -11101111101111100011101 In base 9, what is 0 + 1470172? 1470172 In base 5, what is 4123140323 - -23? 4123140401 In base 6, what is -11430 + -543034? -554504 In base 16, what is 1860 - 7b6a? -630a In base 3, what is 122220200 + -22221022? 22222101 In base 14, what is -25ba9d146 + -4? -25ba9d14a In base 16, what is -2fd + 10a68? 1076b In base 8, what is -7 + 24227067? 24227060 In base 4, what is 21010303022 + 13? 21010303101 In base 4, what is 302111 + -10203? 231302 In base 5, what is 2220441 - 41041? 2124400 In base 2, what is 11101001001010101 + 10100? 11101001001101001 In base 2, what is -1001 - 101111101101101100111? -101111101101101110000 In base 6, what is 4023 + 4535154? 4543221 In base 16, what is 3a3 - -7edd2? 7f175 In base 11, what is -12034 + 12848? 814 In base 4, what is -10102322101 + 2112? -10102313323 In base 10, what is 39040 - 392? 38648 In base 8, what is 127263 - 2662? 124401 In base 13, what is 12 - 140365? -140353 In base 15, what is 10d7d - -346? 111c4 In base 14, what is -2868dc + 14? -2868c8 In base 13, what is 11 - 14a800? -14a7bc In base 10, what is 614 + -55628? -55014 In base 12, what is -40581b84 - 1? -40581b85 In base 13, what is 14a3a7 - 0? 14a3a7 In base 9, what is -2213664 + -3? -2213667 In base 11, what is 235 + 632760? 632995 In base 13, what is 7546 - 347? 71cc In base 7, what is -6 + -3416042? -3416051 In base 4, what is 1332 + -123010200002? -123010132010 In base 6, what is 4322531 - 220? 4322311 In base 6, what is -324131552 - 40? -324132032 In base 10, what is 280483 + -7? 280476 In base 11, what is -459 - a1664? -a2012 In base 6, what is 4541510134 + 3? 4541510141 In base 4, what is 1000113 - -11122? 1011301 In base 14, what is 129858 - -7? 129861 In base 6, what is -102104455 - -12? -102104443 In base 13, what is a95 - -53296? 5405b In base 8, what is -570171 - 67? -570260 In base 6, what is -5 + -135055? -135104 In base 8, what is 2511 + 1425? 4136 In base 5, what is -21311412413 + 4? -21311412404 In base 3, what is 12101000112 - 1000102? 12100000010 In base 16, what is -5 + 27fe66? 27fe61 In base 4, what is -22123 + 2302332? 2220203 In base 14, what is 71459a4 + 4? 71459a8 In base 11, what is 2a10 + 1095? 3aa5 In base 2, what is -100011000101 - -1011110110000010? 1011010010111101 In base 8, what is -3 + -100377562? -100377565 In base 2, what is -100011010011100000100 + -111010? -100011010011100111110 In base 12, what is 152b29 + 4? 152b31 In base 16, what is -2 + -1269982? -1269984 In base 7, what is -12 + -14463513? -14463525 In base 10, what is -6 - -1539364? 1539358 In base 16, what is -121605d + 7? -1216056 In base 16, what is 47 + -16ede? -16e97 In base 11, what is -1843137 - 2? -1843139 In base 14, what is -1a6158 - -1? -1a6157 In base 8, what is 1271421 - 16? 1271403 In base 9, what is -308 - 531332? -531641 In base 4, what is -1010 + 111202032? 111201022 In base 2, what is -101 + -11100011001000111001? -11100011001000111110 In base 5, what is 0 - 2411431200? -2411431200 In base 15, what is -3e + -aee? -b3d In base 15, what is 15 - -2dda59? 2dda6e In base 11, what is -41 + -34201? -34242 In base 6, what is -255313 + -1355? -301112 In base 16, what is -6e9 + 3fad? 38c4 In base 8, what is 45 - -155626? 155673 In base 2, what is -1 - -10001111101011101111011010101? 10001111101011101111011010100 In base 9, what is 673 - -813816? 814600 In base 2, what is 1001010000110100011111010 - 101? 1001010000110100011110101 In base 16, what is 8 + 31b4674? 31b467c In base 16, what is 4 - 15e82b? -15e827 In base 5, what is 1301 + 10104340? 10111141 In b
{ "pile_set_name": "DM Mathematics" }
) = -4*d**2 - 6*d - d**3 + 4*d**2 + 7*d**o - d**2. Give f(4). 8 Suppose 4*s - f = 3*s - 7, -s = -2*f + 10. Let t(b) = 2*b**2 + 2*b + 4. Let u(o) = -3*o**2 - o - 5. Let r(w) = s*t(w) - 3*u(w). What is r(4)? -5 Let a(u) = -u**3 - 4*u**2 - 2*u. Suppose 4*y + 3*s - 5 = 1, 0 = 5*y - 4*s - 23. Let l be (-1*0/3)/(16 + -18). Suppose l = 3*i - 4*i - y. What is a(i)? -3 Let p(w) be the second derivative of -1/2*w**3 + 0 + 0*w**2 + 5*w - 1/60*w**5 + 5/24*w**4. Let z(j) be the second derivative of p(j). Give z(-5). 15 Let u(i) be the second derivative of i**4/12 + 5*i**3/6 - 25*i. Calculate u(-5). 0 Let y be -2*(3 - 28/8). Let v(o) = 3 + y + 2*o + 0*o**2 - 1 + o**3 - 4*o**2. Let j(p) = p**2 + 3*p - 1. Let m be j(-4). Give v(m). 0 Let p(v) = -7*v**2 + 4*v - 3. Let i(w) = -15*w**2 + 8*w - 6. Let y(g) = -6*i(g) + 13*p(g). Suppose 0 = -8*j + 7 + 25. Suppose 6 = -j*l + 26. Calculate y(l). -8 Let u(j) = -120*j**2 + 119*j**2 + 5 + 2*j - 14 + 9*j. Determine u(9). 9 Let p(l) = l**2 + 10*l - 4. Let w be (-35)/(35/7) - 2. What is p(w)? -13 Let x be 2/(-1) - 5*-1. Suppose -p - 1 = -x. Let g(r) be the first derivative of r**2/2 + 2*r + 1016. Determine g(p). 4 Suppose -2*i = 8 - 0, h - i - 8 = 0. Let a(f) = -4*f - 4*f + 6*f + h - 5. Calculate a(3). -7 Let z(s) be the first derivative of s**3/3 + 5*s**2/2 + s + 11. Calculate z(-2). -5 Let c(h) = h**3 + 4*h**2 + h + 2. Let v be c(-4). Let g(i) = 1 + 2 + 1 - 3 + i. Let f(l) = 3*l + 4. Let y(m) = -2*f(m) + 7*g(m). Determine y(v). -3 Let n(g) = -3*g - 12 - 6 + 34 - 9. Calculate n(6). -11 Let g be (-6)/(-40)*(-195)/(-351). Let t(h) be the second derivative of 1/3*h**3 - g*h**4 - 3/2*h**2 + 4*h + 0. Determine t(2). -3 Suppose -18*z + 18 = -21*z. Let d(l) = l**3 + 5*l**2 - 6*l - 1. What is d(z)? -1 Suppose 3 - 5 = -u + y, 0 = -u + 5*y + 18. Let t(k) = -4*k**2 - 4*k - 2. Give t(u). -10 Let l(k) = k + 1. Let w(f) = -f**2 - 7*f + 10. Let z be w(-7). Suppose -45 = z*o - 15*o. What is l(o)? 10 Let z(l) = -l**3 - 8*l**2 + 9*l - 8. Let t be z(-9). Let n(b) = 8*b + 58. Let k be n(t). Let o(w) = w**2 + 6*w. Calculate o(k). 0 Let a(p) = -p**3 - 9*p**2 + 8*p - 20. Let c be 252/(-15) + 7 - 1/5. What is a(c)? 0 Let y(u) = u**3 + u**2 - 8. Let t(b) = -b + 21. Let z(v) = 2*v - 3. Let h be z(12). Let j be t(h). Give y(j). -8 Let s(b) = -9*b**2 + b**3 - 2*b**3 + 75*b - 3*b**3 - 85*b - 2 + 3*b**3. Calculate s(-8). 14 Let r(b) be the third derivative of 0*b**3 + 0*b - 1/120*b**5 - 1/72*b**6 - 1/24*b**4 + 0 + 3*b**2. Let h(x) be the second derivative of r(x). Calculate h(-1). 9 Let c be -6 + 476/77 - (-26)/(-22). Let u(v) = -23*v + 5. Let o(z) = 24*z - 6. Let t(x) = 4*o(x) + 5*u(x). What is t(c)? 20 Let l(m) be the second derivative of m**3/6 - 2*m**2 - 10*m. Let p(v) = 3*v - 11. Let r(y) = 11*l(y) - 4*p(y). Determine r(-6). 6 Let k(c) = -c**3 + 26*c**2 + 10*c - 266. Let u be k(26). Let i(h) = -10*h - 57. Give i(u). 3 Suppose 22*q + 8 = -3*i + 20*q, 3*i = -3*q - 9. Let y(l) = -9*l + 3. Calculate y(i). 21 Let j(k) = -2*k**2 - 2*k + 6. Let t(y) = -2*y**2 + 30*y + 104. Let w be t(18). Give j(w). -18 Suppose 0 = -t - 4*t + 15. Let y(q) = 0*q**2 - t*q**3 - q**2 - q**2 + 1. Let d be (-12)/(-36)*(-2 + 5). Give y(d). -4 Let k = -299 - -304. Let m(s) = -3*s**2 + 4*s**2 - 5 + 1 - 5*s. Let w be m(k). Let o(c) = c**3 + 5*c**2 + c - 5. Calculate o(w). 7 Let t(f) = -36 - 2*f + 23 - 2*f**3 - 10*f**2 + f**3. Give t(-10). 7 Let w(n) = 8*n**2 + 5. Suppose -19 = -5*o - 9. Let r(p) = -1. Let a(q) = 1. Let g(f) = o*a(f) + r(f). Let t(u) = 6*g(u) - w(u). Determine t(-1). -7 Let x(y) = -171*y - 10 - 173*y + 523*y - 178*y. What is x(4)? -6 Let j(v) = 4 + 6*v + 0*v**3 + 2*v**2 + 5*v**2 + v**3. Let b(s) = -4*s + 16 - s**3 - s + 7*s - 11*s**2. Let z be b(-11). Calculate j(z). 4 Let h(n) be the first derivative of -n**7/840 + n**6/60 + n**5/15 - n**4/4 + 28*n**3/3 - 37. Let p(d) be the third derivative of h(d). Determine p(7). 1 Let r(w) be the third derivative of w**4/6 - 3*w**3/2 + 85*w**2. Give r(3). 3 Let m(q) = -17*q**2 - 4*q + 12. Let r(s) = 38*s**2 + 7*s - 26. Let h(o) = 9*m(o) + 4*r(o). Give h(-8). 4 Let y = -88 + 97. Suppose -y*l - 31 - 50 = 0. Let p(q) = q**3 + 9*q**2 - 6. Determine p(l). -6 Let n(h) = 23*h**2 - 8*h**2 - 16*h**2 + 3*h - 21*h - 15. Calculate n(-17). 2 Let j(h) = -5*h - 3 - 8 + 29 - 4 - 10 + h**2. Give j(5). 4 Let z(j) = -6*j - 4 - 3*j + 5*j. What is z(-3)? 8 Let u = 17691 + -17692. Let y(s) be the second derivative of s**5/10 - s**3/6 + s. Give y(u). -1 Let f(c) be the third derivative of 1/60*c**5 + 0*c + 1/6*c**3 + c**2 - 1/12*c**4 + 0. Suppose 0 = -l + 2 - 1. Calculate f(l). 0 Let k(w) = 2*w**3 - w. Let f(r) = -2*r**2 + 2*r + 8. Let z be f(-2). Let g(x) = -9*x**3 - 5*x**2 + 5*x. Let b(y) = z*k(y) - g(y). Calculate b(-5). 5 Let v(j) be the first derivative of j - 15. Let g(b) = 10*b - 4. Let q(l) = -l + 1. Let p(h) = g(h) - q(h). Let n(r) = p(r) + 6*v(r). Give n(-1). -10 Let m(b) = 1. Let s(k) = -k + 4. Let f(c) = -4*m(c) + 2*s(c). Let q be f(0). Let t(n) be the second derivative of -n**3/2 + 2*n**2 - 5*n. What is t(q)? -8 Suppose -2 + 6 = 2*m. Let x(z) = z - 1. Let u(k) = 12*k - 9. Let p(t) = m*u(t) - 22*x(t). Calculate p(-3). -2 Let c(s) be the second derivative of -s**7/840 + s**6/120 - s**5/120 - s**4/12 + 2*s**3/3 + 9*s. Let u(h) be the second derivative of c(h). Calculate u(2). 0 Let c(q) = q - 7. Let a(x) = -x**2 + 5*x. Let f be a(6). Let v be (-11)/f + (-4)/(-24). Suppose 7*k - v*k = 25. What is c(k)? -2 Let x(n) = -2*n**2 + n - 1. Let w be ((-2)/6)/(156/(-36) - -4). What is x(w)? -2 Let m(o) = o**3 - 16*o**2 + 15*o + 3. Let g be m(15). Let w(s) = -5 + 0 - 1 - g*s. Calculate w(-4). 6 Let j(d) = -5*d**2 - 13*d + 15. Let x(h) = -2*h**2 - 6*h + 7. Let y(i) = 3*j(i) - 7*x(i). Calculate y(5). -14 Let f(m) = 7*m + 0 - 4*m + 4 + 1 - m**2. Calculate f(4). 1 Let d(r) = 23*r - 1 - 16*r - 2 - 9*r. Give d(-3). 3 Let o(i) be the second derivative of 1/2*i**2 - 1/2*i**3 - 3*i - 2. Calculate o(1). -2 Suppose 4*r = 5*v - 135, r + 6*v + 38 = 3*v. Let o = r - -41. Let q(c) = c - 2. Calculate q(o). 4 Let a be -2 + 1 - 1/1. Let n(j) be the first derivative of 1/4*j**4 + j + j**3 - 2 + 0*j**2. Determine n(a). 5 Let n(d) be the second derivative of -d**4/6 + 5*d**3/6 + 3*d**2/2 - 426*d. What is n(5)? -22 Let p(o) = o - 3. Let m be p(5). Let s(g) be the first derivative of 2*g**3/3 - g**2/2 - 47. Calculate s(m). 6 Let b(p) = -p**3 - 16*p**2 - 16*p - 9. Let k(g) = -g**3 - 9*g**2 - 5*g + 9. Let x be k(-8). What is b(x)? 6 Let l(i) = -13*i - 405. Let o be l(-31). Let k(d) = -2*d**3 - d**2 + 5*d + 5. Calculate k(o). 7 Let x(d) = d + 3. Let f(n) = 5*n - 8. Let a be f(5). Let g = a - 11. Determine x(g). 9 Let j = 22 - 16. Let a(q) = -8*q - 86. Let y be a(-12). Suppose 4*h - j = y. Let d(o) = o**2 - 4*o - 5. Determine d(h). -5 Let c be (-300)/(-125)*(-10)/(-4). Let t(g) = -7 - 3*g**2 - g - 2*g**2 - 4*g + g**3. Calculate t(c). -1 Let s(d) be the second derivative of -7*d**3/3 + d**2/2 + 3*d - 2. Calculate s(1). -13 Let y(z) be the first derivative of -z**3/3 - 3*z**2 + z + 171. Calculate y(-4). 9 Let s(p) be the second derivative of 0 + 1/6*p**3 + 0*p**2 + 4*p. Determine s(-7). -7 Suppose 2*v + 0*v = 4. Let o be 5 + (0 - 2)/v. Let x(s) = -39*s + s**3 - 1311*s**2 + 1306*s**2 + 41*s + 5. Determine x(o). -3 Suppose -2*g - 2 = -12. Let j(t) = t**2 - 4*t - 1. Give j(g). 4 Let p(d) be the third derivative of -d**6/120 - 7*d**5/60 + 3*d**4/8 + 11*d**3/6 - 21*d**2. Suppose -69 = -4*k - 101. Calculate p(k). 3 Let a(i) = -3*i**2 - 7*i - 12. Let y(v) = 11*v**2 + 22*v + 37. Let n(f) = -7*a(f) - 2*y(f). Let u(c) = -c**2 - 6*c + 7. Let o be u(-6). Determine n(o). -4 Let k(g) = 5*g - 3. Let z(y) = 14*y - 8. Let a(s) = 8*k(s) - 3*z(s). Let f = 77 - 75. What is a(f)? -4 Let c(h) = -h**2 + 5*h + 6. Let a = -3 + 21. Let b be 122/a + 9/((-567)/(-14)). Determine c(b). -8 Let r(l) be the second derivative of l**5/20 + l**4/4 - l**3/6 - 2*l**2 - 118*l + 2. What is r(-3)? -1 Let f = 2 + 8. Let p(m) = -f*m**2 - 9*m + 4 - 9 + 2*m**2 + 0*m**2 - m**3. Determine p(-7). 9 Let j(c) = -3*c - 5*c + 0 + 2 + 5*c. Give j(5). -13 Let j(u) = -u**2 - 18*u - 25. Let w(v) = -3*v - 110. Let n be w(-31). Determine j(n). -8 Let v(f) = 2*f - 19. Let t(n) = n**2 + 27*n + 8. Let b be t(-27). Calculate v(b). -3
{ "pile_set_name": "DM Mathematics" }
he product of -1 and -2.09? 2.09 -0.3 * 30 -9 -0.4*8421 -3368.4 Work out 5 * -19.8. -99 What is 7 times 0.29? 2.03 What is the product of 0.3 and -33? -9.9 What is -0.01 times 20? -0.2 2 * 202 404 What is 1093 times 0.2? 218.6 -0.1103*0 0 What is the product of 1 and 0.0532? 0.0532 Multiply -20068 and 0.3. -6020.4 Calculate -0.046*-229. 10.534 What is the product of -0.4 and -52? 20.8 Multiply 0.3 and 47. 14.1 Work out 94 * -1. -94 Product of 0.16 and -125. -20 Multiply -38 and 0.283. -10.754 Product of -2.1 and -0.5. 1.05 -0.7 * -89 62.3 1.71 * -0.3 -0.513 Work out -97 * 1. -97 Multiply 0.089 and -16. -1.424 What is -0.5 times 0.0757? -0.03785 What is the product of -0.5 and 26.5? -13.25 Calculate 52*-0.0311. -1.6172 Work out 47.7 * 0.11. 5.247 What is the product of -0.3 and -3.1? 0.93 -4 * 422 -1688 What is the product of -4 and 0.205? -0.82 Multiply -632 and -1. 632 2.257 * 0.3 0.6771 5*140 700 Work out 229 * -0.06. -13.74 Multiply -35834 and -0.3. 10750.2 Calculate 54*5. 270 Calculate -2*149.8. -299.6 Multiply 0.5 and 0.073. 0.0365 Calculate 0.86*9.8. 8.428 What is the product of -5 and -0.37? 1.85 2.18 * -0.5 -1.09 4509 * -0.5 -2254.5 Calculate 0.15*11. 1.65 Work out 0.148 * -164. -24.272 What is the product of 0.39 and 659? 257.01 Product of -5 and -1589. 7945 -37 * -0.26 9.62 -0.3*0.1993 -0.05979 Multiply -2 and 0.4. -0.8 What is 43 times -4.8? -206.4 Work out -0.1 * 0.0125. -0.00125 What is -24 times 0.52? -12.48 Calculate 155.1*1. 155.1 Product of -596 and -1.5. 894 -0.7149*0.06 -0.042894 What is -83 times 1? -83 What is 0.2 times 1.76? 0.352 -1.091 times 0.01 -0.01091 0.385 times 0.4 0.154 What is -4 times -66? 264 What is the product of 4 and 17? 68 -9 times 1.2 -10.8 Work out 0.5 * -3.8. -1.9 -2*-16 32 -0.4 * -0.021 0.0084 Product of 13.1 and 5. 65.5 Product of 0.4 and 0.36. 0.144 -0.1527*-1 0.1527 0.4 * -250 -100 What is 2 times 383? 766 Multiply 84 and -133. -11172 What is 5 times -0.1109? -0.5545 Product of -1.58 and 0.05. -0.079 19 times 0.03 0.57 What is the product of -0.3 and 1.46? -0.438 Work out -0.021 * -12. 0.252 Calculate 2*-41. -82 What is 0.5 times -555? -277.5 What is -21 times 0.8? -16.8 Calculate 0.1436*-5. -0.718 -5 * -77 385 Product of -3.1 and 0.29. -0.899 What is -0.071 times 0.4? -0.0284 What is -1 times 12? -12 Calculate -3926*0.5. -1963 -0.2339 times 0.5 -0.11695 What is 30 times 0.26? 7.8 -0.619 times 2 -1.238 0.3 times -1355 -406.5 -175.6 * -5 878 What is 0.4 times -10? -4 Product of 19.4 and -1. -19.4 What is -354 times -1.8? 637.2 101 times -0.21 -21.21 37 * 16 592 Multiply 186 and 0.14. 26.04 Multiply 0.05 and 0.028. 0.0014 -3 * -102.9 308.7 Calculate 3*55. 165 Multiply 49 and 95. 4655 Work out 4 * 22.32. 89.28 -4.73*-1 4.73 Product of -3 and 116.3. -348.9 What is the product of 21.7 and -36? -781.2 Multiply 41 and -1.8. -73.8 190*0.15 28.5 Product of 5.1 and 0.1. 0.51 2*-17 -34 Work out -3.5 * 19. -66.5 Product of -95 and 0.4. -38 Multiply -172 and -13. 2236 Product of 0.041 and -207. -8.487 What is the product of 10 and 43? 430 Work out -0.1 * 5.45. -0.545 -1 times 460 -460 Multiply -5 and 101. -505 What is the product of 59 and 165? 9735 What is 0.2 times -6.27? -1.254 What is the product of -1297 and 0.1? -129.7 Work out -0.4 * -0.49. 0.196 -30*-2.3 69 Product of -2 and -0.0834. 0.1668 What is the product of -241 and -1? 241 32 * -0.058 -1.856 -8037 * 3 -24111 Multiply -1747 and 0.3. -524.1 What is the product of -86.8 and 0.1? -8.68 0.134*-15 -2.01 What is the product of -485 and 5? -2425 0.07*-152 -10.64 What is the product of -0.041 and 0.03? -0.00123 Multiply 129.81 and -0.2. -25.962 0.86 times 0.1 0.086 Product of 0.8658 and -1. -0.8658 Multiply -10 and 139. -1390 Multiply 7797 and 3. 23391 Multiply 2 and -28. -56 What is 0.038 times -1.05? -0.0399 Calculate -323*-0.09. 29.07 -5*610 -3050 3 * -0.156 -0.468 Calculate -86*-0.5. 43 Product of 3927 and -1. -3927 Work out 65 * -0.05. -3.25 -34.1*-2 68.2 0.3 * -57 -17.1 Calculate 8*0.2. 1.6 Product of -13 and -30. 390 What is the product of -5 and 99? -495 Work out 43 * 6. 258 264 * 0.2 52.8 Multiply -0.05 and -0.069. 0.00345 -24 * 33 -792 -3585 times 0.3 -1075.5 7 times 0.3 2.1 Work out -36 * -1.89. 68.04 596 * -0.1 -59.6 What is the product of 0.078 and 0.37? 0.02886 3 times -0.01 -0.03 Calculate 2.81*2. 5.62 Work out 0.5 * 0.3. 0.15 Multiply -0.5 and 337.3. -168.65 Work out 5682 * 1. 5682 What is the product of 0 and -13? 0 Work out 2 * -6.4. -12.8 Calculate 0.466*-2. -0.932 Work out 15 * 137. 2055 Multiply -0.2829 and -1. 0.2829 What is -0.05606 times -5? 0.2803 What is the product of -5 and 24? -120 Calculate -5*-431. 2155 Calculate 446*-5. -2230 What is 1.41 times 0.2? 0.282 Product of -36 and 0.033. -1.188 -114 times 12 -1368 Multiply -36 and -20. 720 0.5*319 159.5 Calculate -0.7*-182.3. 127.61 What is 4 times 0.09? 0.36 -0.2 times 285 -57 1092 times -4 -4368 Calculate 0.04*1099. 43.96 Multiply -0.13 and -0.3. 0.039 What is -1741 times 0.2? -348.2 What is -55 times -0.234? 12.87 Multiply 0.6 and -0.9. -0.54 -8*-216 1728 Multiply 0 and -503. 0 Calculate 1.24*0.106. 0.13144 -0.1*-48 4.8 Product of -5 and 57. -285 -0.021 * 9 -0.189 -6.8 times 2 -13.6 What is the product of 1 and 75? 75 -44.6 * -5 223 Product of 8.89 and 2. 17.78 0.028*-3 -0.084 0.3 times 428 128.4 -0.25 times 0.02 -0.005 Work out -0.064 * -5. 0.32 Calculate 1036*0. 0 522 times 6 3132 0.3 * 29 8.7 2 * -77.7 -155.4 Multiply -0.4 and 17.3. -6.92 What is 1.4 times -1? -1.4 1.9*1.9 3.61 -0.03 * 0.1454 -0.004362 Multiply 0 and -3586. 0 -5*-34 170 Calculate -0.4*-0.103. 0.0412 0.4 * 26 10.4 Work out -0.04 * 8. -0.32 -111 * -0.3 33.3 -0.345 * 0.01 -0.00345 5*23 115 Multiply 0.003 and -0.4. -0.0012 What is the product of -0.49 and 0? 0 Product of -0.3 and -116. 34.8 What is 2 times 0.18? 0.36 Product of -3 and -0.134. 0.402 Work out 16 * 0.7. 11.2 Calculate 3*-143. -429 Work out 3603 * 5. 18015 Work out -1 * -87. 87 What is -0.15 times 0.07? -0.0105 Calculate 24*7. 168 Product of 0.3 and -619. -185.7 -155*-37 5735 Multiply 0.04 and -0.3. -0.012 What is the product of -17 and -0.102? 1.734 -362*0.7 -253.4 What is the product of -8 and -58.2? 465.6 -2*-33.75 67.5 0.8 times -1254 -1003.2 Multiply 6 and -224. -1344 What is the product of -388 and 2? -776 13*2.3 29.9 1.2*5.36 6.432 -18 * 0.87 -15.66 -18634 times 0.1 -1863.4 What is 1 times 6.2? 6.2 Work out 3 * 1148. 3444 -5 times 203 -1015 Work out -0.02302 * -0.5. 0.01151 -0.5 * 6032 -3016 -10 * -1.7 17 -0.5 * -0.025 0.0125 Multiply 1875 and -3. -5625 -11.8 times -0.4 4.72 Product of -7 and -2337. 16359 What is the product of 0 and 0.01? 0 Product of -8 and 160. -1280 -46 * 0.04 -1.84 What is the product of 0.12 and 6? 0.72 What is the product of -0.05 and 0.164? -0.0082 Work out -287 * -5.1. 1463.7 Work out -0.3 * -1281. 384.3 Product of -2 and 1.64. -3.28 -2 * 65 -130 -3*-45 135 Multiply 24 and -4.2. -100.8 3 times 0.9 2.7 What is the product of 5 and 0.0373? 0.1865 1 times -10.7 -10.7 Product of 0.5 and -12.8. -6.4 What is the product of 4 and -0.07? -0.28 Calculate -5*210. -1050 Calculate -0.22*-2. 0.44 Multiply -0.1309 and 0.1. -0.01309 Calculate 5*-23.6. -118 -0.3 times 4.8 -1.44 Work out -1.22 * 2. -2.44 What is the product of 29 and 0.139? 4.031 Work out -0.0441 * -26. 1.1466 0.1248 * -0.12 -0.014976 -1.43*-9 12.87 What is the product of -0.109 and -3? 0.327 What is -155 times -3? 465 Product of 145 and -5. -725 1 * 70 70 Product of -3 and -0.1775. 0.5325 -0.872*-0.7 0.6104 Work out -0.1 * -0.088. 0.0088 Calculate 5*-31. -155 Work out 0.534 * 0.2. 0.1068 What is the product of 5749 and -3? -17247 4569*0.2 913.8 1.3*-3 -3.9 -0.01 times 28 -0.28 Product of 5 and 25.33. 126.65 Multiply -0.9 and 1. -0.9 What is the product of -547 and 0.4? -218.8 3.2*1.3 4.16 Calculate 0.9*0.1. 0.09 -0.12*-0.26 0.0312 1 * 12 12 What is 41.2 times 0.2? 8.24 Multiply 43.3 and 11. 476.3 Product of 1.4 and -0.33. -0.462 Work out 0.03 * 12. 0.36 Product of -28 and 9. -252 What is -0.3 times 134? -40.2 0.4*-4573 -1829.2 Product of 89 and 3.8. 338.2 What is the product of -2 and 0? 0 Work out 0 * 0.89. 0 -59 times 4.4 -259.6 Work out 131 * -1. -131 Multiply -0.3 and -54. 16.2 What is -17.84 times -0.4? 7.136 Multiply -0.3 and -0.0294. 0.00882 Multiply 0.2
{ "pile_set_name": "DM Mathematics" }
3*c = -z - h, -c + 1 = -3*z + 2 for c. 2 Suppose -3*f = 4*c - 0*c + 275, -3*c - 3*f - 207 = 0. Let k = -65 - c. Solve -y + 11 = -0*y - 3*t, k*t = 3*y - 15 for y. 2 Let t(r) = r**3 + r + 2. Let p be t(0). Suppose -5*u + 7 = -4*b - 1, 4*b - u - 8 = 0. Solve 0 = -p*y - b*n - 23, -n + 3 = -4*y - 8 for y. -4 Let m(c) = -c**2 - 6*c - 6. Let k be m(-3). Solve 0 = 4*p + 3*l + k, -4*p = -2*l - 13 - 9 for p. 3 Suppose 6*y - 3*y - 6 = 0. Let c(v) be the first derivative of 2*v**3/3 + 5*v**2/2 - 2*v + 2. Let g be c(-4). Solve 2*p - g = 4*s, -s - y = -0*s - p for s. -3 Let l = 1480 - 1455. Solve -3*i - 1 = 14, 0 = -3*y - 2*i - l for y. -5 Let u(c) = c + 11. Let o be u(-9). Suppose 5*f - 7 = 5*p - 142, 4*p = o*f + 114. Solve 5*r + 3*w = p, 2*w - 15 = -w for r. 3 Let g(l) be the second derivative of -l**3/2 - 14*l**2 + 46*l. Let t be g(-14). Solve 0 = -2*h - 3*o + t, -4*o + 28 = 7*h - 2*h for h. 4 Let k(m) = 30*m - 7. Let y(z) = 15*z - 3. Let j(w) = 2*k(w) - 5*y(w). Let d be j(1). Let r = -12 - d. Solve r*n - 3*n - 4*h = -8, -3*n = -h - 11 for n. 4 Suppose o - 2*c = -12 + 1, c = 4. Let n be (o - (-3 - -2)) + -1 + 6. Solve -n*k - k + 3 = 3*h, k - 5*h + 5 = 0 for k. 0 Suppose -9*t + 36 = 3*t. Solve 8*f + 2*k + 17 = t*f, 2*k = 4*f + 28 for f. -5 Suppose -8*g = 127 - 151. Solve -4*z + 4 = -g*n, -22 + 4 = 5*n - z for n. -4 Let y(f) = -f + 13. Let x(a) = a**3 + 5*a**2 + 9. Let o be x(-5). Let d be y(o). Solve 0 = -d*q, -4*n + q - 4*q = 16 for n. -4 Suppose 4*d = -d. Suppose -l = -z - d*z, 3*l - z = 6. Let j(i) = -5206*i - 36441. Let k be j(-7). Solve -l*f = 5*y - 2 - k, 14 = 2*y - 2*f for y. 3 Let v be ((-26)/6)/(2/6). Let w = 21 + v. Let o = w - 4. Solve 4*b + 3*d + 22 = 0, d + o*d = 3*b + 2 for b. -4 Let n(s) = -18*s + 111. Let v be n(6). Solve 1 = 2*q + o, 5*q - v*o - 8 + 11 = 0 for q. 0 Let t = -1211 - -1211. Solve -2*v - 6 = t, 10*v - 14*v - 9 = -3*d for d. -1 Let w(u) = 6. Let m(g) = -g. Let f = -5 + 6. Let c(z) = f*m(z) - w(z). Let r be c(-12). Solve 3*y = -o + r, 0 = -4*o + 2*y - 4 for o. 0 Let i be 0/(-7 + 0 + 3). Solve -3*a - 2*b + 5 = i, a - 3*b - 2*b = 13 for a. 3 Suppose -5*l + 314 - 149 = 0. Solve s - 2 = 2*k + 4, 2*s + 5*k = -l for s. -4 Let f(z) = 3*z - 1. Let m be f(2). Let g = 823 - 820. Solve 0*r + p + 4 = g*r, -m*p = 4*r - 18 for r. 2 Let w(x) = 5*x**2. Let i(m) = -m**2 - 2*m + 10. Let r be i(0). Let l = -11 + r. Let d be w(l). Solve -d*b + 25 = -5*o, 2*b - 4*o - 15 = 3*b for b. 1 Suppose -x = -2*z + 2*x + 47, 5*z = 3*x + 113. Let b = z - 17. Solve -7*w + 3*w = -2*n - 6, 5*w = b*n for n. 3 Let z = 31 - 16. Suppose u = -3*d + 20, d = -d - u + z. Let i be -2*d*(-6)/15. Solve -5*s + o = 5, -4*s + 1 = o - i for s. 0 Let z(p) = p**3 + 33*p**2 + 181*p - 24. Let g be z(-26). Solve -g*m + 4*r + 12 = -m, 3*r = 3*m - 9 for m. 0 Let f = -13 - -20. Suppose 1 + f = x. Let k be -3 + 10 + -5 + 2. Solve k*q - 8 = -4*y, -q + 2*q - 5*y - x = 0 for q. 3 Let f be (2/30 + (-26)/65)*-6. Solve 2*x = -f, -h - 13*x = -8*x for h. 5 Let a(i) be the first derivative of -i**4/4 + i**3/3 - i**2/2 + 10*i - 2. Let m be a(0). Solve 0 = -3*q - 3*j - 12, -2*j - m = q - 2 for q. 0 Let n = -1 + 4. Suppose -2*o + 45 = n*o. Let s(g) = g - 6. Let x be s(o). Solve u = -5*l + l - 3, 2*l - 1 = -x*u for l. -1 Let o = -210 - -214. Solve -3*b + m - 17 = -o*m, -3*b + 11 = 2*m for b. 1 Suppose -4*j + l = -10, 3*l = -4*j - j + 4. Solve -4*d - 8 = -j*g + 6*g, -3*d - 5*g = 16 for d. 3 Let r be (-52)/39*3/2. Let a(c) = -c + 3*c + 4*c**2 + 0*c**2 + 1. Let t be a(r). Solve 4*i = -2*o + 18, -i - 2*i = 2*o - t for i. 5 Let j(p) = p - 2. Let b be j(4). Suppose -4*m - 16 = b*y, -3*y + 21 = -5*m + 2*m. Solve 0 = 4*k + 2*c + c + 5, 0 = -4*k - y*c - 10 for k. -5 Suppose -3*j = -15 - 159. Let p = j - 58. Let g(q) = q - 2. Let x be g(4). Solve z = p, x*v + 2*z = 3*z + 2 for v. 1 Suppose -4*z + 3*o + 9 = 12, 2*o = -3*z + 2. Solve 0 = 4*a - 16, z*a + 8 = -2*s + 4*a for s. 4 Let d = 375 + -373. Solve 4*f - f = -b + 1, 5*b = d*f + 22 for b. 4 Let u = 721 + -718. Solve 2*w = 2*q - u - 1, -5*w - 10 = q for q. 0 Let v(w) = w**2 - 11*w + 1. Let o be v(13). Suppose 15 = 5*y - i, o = y + 3*i + 8. Solve p = u + y, -p - 29 = 5*u - 3 for p. -1 Let a be ((-12)/15)/((-2)/(-5)). Let j be 7 + (-6)/2 + a. Suppose -5*w + 3*s = -22, 2*w = j*s - 5*s + 13. Solve 2*v = 4*u, 3*v - w*u = 2*v - 3 for v. 2 Let y = -184 - -189. Solve 3*u - y = -s, -20 = u + 5*s - 3 for u. 3 Let r(f) = f**3 - 3*f**2 + 2. Let d be r(3). Suppose 7*m + 289 + 1139 = 0. Let b = -169 - m. Solve -g = 5*i - 30, 2*g - b = -d*i - 3*g for i. 5 Suppose -6*n - 18*n = -48. Solve -3*a + 5 = 2*k, -5*k = 2*a - 5*a - n for k. 1 Let k = -13 + 13. Suppose k = -6*z + 3*z. Let j be -1*z/(-1 - 3). Solve j = -5*o - 3*t - 15, 0*o - 2*o = -3*t + 6 for o. -3 Let d be 6/10 + (-513)/(-95). Suppose -d*c = 2 - 14. Solve 2*j + 0 = 3*u - c, -4*u + j = -11 for u. 4 Suppose 54*v - 96 = 6*v. Solve d = c + 2*d + 7, 3*c = v*d - 11 for c. -5 Let z = -581 + 586. Solve -20 = -z*j - 3*u + 2*u, 4*u + 4 = j for j. 4 Suppose 3*a + 4*u + 2 = 0, -4*a - 5*u = -0 + 2. Suppose -4*r - 6 = -p + a, -p + 5*r + 8 = 0. Solve p = 4*v - 0, 6 = q + 2*v for q. 2 Let u = 6 - 7. Let j be u*2 - (11 + 1). Let n be j/35 + 22/5. Solve -19 = n*g + x, -2*g - x - 19 = -8 for g. -4 Let y = 280 - 277. Solve -5*j = -3*p + 7*p - 13, 0 = -p + y*j - 1 for p. 2 Let l = -11 + 33. Suppose l + 3 = 5*x. Solve 0 = -2*h + 3*h + 3*p - 1, 5*p = -x for h. 4 Let x = 14 - 10. Suppose 0 = 2*a - 5*c - 21, 3*a - 9*c - 42 = -5*c. Solve o - 4*r = -2*o - 20, r - a = x*o for o. -4 Let g be (-6)/(-9)*(116/8 - 1). Suppose -4 = -g*n + 23. Solve -2*c - 3*l = 11, -3*c + 4*c + n = -l for c. 2 Let l be ((-52)/7 + 8)*(1 + 6). Let m be 1 + -3 + 1 + 255. Let u be 2/(-5) + m/10. Solve l*y - y = g - 19, -5*g + u = -y for g. 4 Let y(j) = 6*j**3 + 36*j**2 - 2*j - 7. Let f be y(-6). Solve u - m = -0*m - 3, 20 = f*m for u. 1 Let s be 0 + 52/24 - 1/6. Solve 3*i + 3 + 1 = -s*l, -5*l - 4*i = -4 for l. 4 Let b be 3 - (2 + 2 + -4). Let s = 60 + -105. Let i be (-5 + s)*(-1)/2. Solve 3*t + 24 = b*h, -4*h = -5*t - i - 10 for h. 5 Let l(q) = -q**3 + 8*q**2 - 4*q + 9. Let j be l(6). Let t = 120 - j. Suppose 3*r = 2*h + h - t, 27 = h - 3*r. Solve -4 = -4*c + 4, -4*y + h = 5*c for y. 2 Let p be -2*(3/(-2) - 1). Suppose -6*g = -0*g - 18. Suppose -2*j + 2*a = 0, -4*j - g*a + 24 = j. Solve -p*b - 4 = n + j*n, b = -5*n + 16 for n. 4 Let s(a) = -a**3 + 6*a**2 + 9*a + 2. Let h be s(7). Suppose -5*u = 1 - h. Suppose 15 = -5*j + 125. Solve 0 = -4*v - u*t + 50 - j, -5*v + 4*t = -4 for v. 4 Suppose 4*n - 43 = 3*l - 4*l, 0 = 4*n + 2*l - 46. Solve -4*q + 2 - n = 0, h - q = 5 for h. 3 Let v(g) = g**3 - 3*g**2 - 6*g + 10. Let m be v(4). Solve 0 = 3*c + 2*b - 17, -10 + 30 = 4*c + m*b for c. 3 Suppose -q + 7 = 5*j - 4*j, -8*j = 5*q - 50. Solve 0 = -2*d - q*d - 4*u - 28, -7 = -3*d + 4*u for d. -3 Let j = 1 + -1. Suppose -3*w = -3*g, 4*g + 1 = -2*w + 13. Suppose -2*a - w*a = j. Solve -5*f + f = 2*o + 26, -2*o - 10 = a for f. -4 Suppose 2*i + 5 = w + i, -22 = -4*w + 2*i. Let j = w - 7. Let n be -1 - 1*3/j. Solve -g + n*g + f = 8, -10 = -2*f for g. 3 Let v = -284 - -296. Solve 1 = -2*c + i, 7*c - 3*i = v*c - 25 for c. 2 Suppose -5*p = -3*v - 4 - 0, 5*p - 14 = -2*v. Solve -4*r = j + v*j + 4, 0 = -5*r + j - 5 for r. -1 Let f be ((60/(-14))/(-3))/(45/126). Solve -4*i + 4*u = f, -8*u + 3*u = -3*i - 13 for i. 4 Let m = 132 + -66. Let r = m - 64. Solve -3*z = -5*j + 17, r*j + j = -2*z + 14 for z. 1 Let d = -15 - -13. Let n be -3*((-14)/6 - d). Suppose 2*a + n - 7 = 0. Solve -2*m = u - 1, a*u = -u - 3*m + 4 for u. 1 Let l = 6 + -2. Let z(q) = 85*q - 1101. Let x be z(13). Solve n - 13 = -2*p, -2*p - 28 = -x*p - l*n for p. 4 Suppose 5*g = g - 56. Let l be g + 10 + (29 - 0). Solve 4*u = 2*u + 2, 5*u - l = 4*a for a. -5 Let t(r) = -3*r**3 - 4*r**2 - 2*r. Let b be t(-2). Let g(o) = -23*o + 71. Let u be g(3). Solve -2*y = h - 3, u*y + 4*h = y + b for y. 0 Let n(f) = 5*f - 18. Let p be n(6). Let t(m) = -2*m + 27. Let a be t(p). Solve -j - 6 = -3*g, 5*j - a = 3*g + 3 for j. 3 Suppose 3*n = 8*n. Suppose n = -3*w - 5*c + 49, 4*c - 73 = -2*w - 3*w. Solve 5*p = 3*u + w - 4, -5*u = -3*p - 1 for p. 3 Let o = -1094 - -1129. Solve -3*k + 1 = 4*c + 6, -2*k + 5*c = -o for k. 5 Suppose y - 3*j - 20 = 0, -4*j -
{ "pile_set_name": "DM Mathematics" }
*b(o) + 11*s(o). Let q be g(-5). Solve -l - 5*c - 1 = 0, 5*l - q + 8 = -4*c for l. -1 Let n be 1/((-3)/15) + 9. Solve -f + 15 = 4*f - 5*d, n*f + 4*d = -4 for f. 1 Suppose -3*p + 2*p = 0. Solve -3*y = -4*t - 22, p = 2*t - y - 4*y + 18 for t. -4 Let w be 5/2*(-6)/(-3). Solve 5*b - 3*m = -12 - 9, 19 = -w*b + 2*m for b. -3 Let u be (1/(-2))/(2/24). Let n be 2/4 + (-15)/u. Solve 4*w - c - 20 = 0, 0 = 2*c + n*c + 20 for w. 4 Let y(a) = a**2 + 4*a + 3. Let u be y(-1). Solve 5*n - 23 = -4*c, u = -3*c + 2*c + n - 1 for c. 2 Let g = 0 + 33. Solve -20 = 3*j + p, 5*j + 4*p = -12 - g for j. -5 Suppose 2 = g + 3*d, -2*g = -4*g + 3*d - 23. Let x be 75/6 + 3/(-2). Let m = g + x. Solve -5*s + s - m*u = 0, 8 = s - u for s. 4 Let l(k) = k**3 - 7*k**2 + 8*k - 9. Let c be l(6). Let a = 3 - c. Suppose -3*h = h, 5*h + 20 = 4*i. Solve 0 = 3*w - 5*b + 7 - a, -w + 1 = -i*b for w. -4 Suppose 0 = n + 3 - 5. Suppose -34 = -n*u - 3*o, 4*o + 41 + 44 = 5*u. Suppose -3*h - 3*l - 5 = -u, 3*l - 12 = 3*h. Solve h = 3*c + 2*c - 3*t, 5*c = t for c. 0 Suppose -2*c + 3*c = 2. Let q be (-2 - -1 - 0) + c. Solve p = -4*w - 12, -q - 1 = -w + p for w. -2 Let m(g) = -2*g**3 - 2*g**2 + 6*g + 7. Let l be m(-3). Solve 5*v + 19 + 6 = 5*i, 5*i - l = v for i. 5 Suppose 4*a - a - 12 = 0. Solve -7 = w + 2*w - z, -4*z = -a*w - 4 for w. -3 Let a = 2 + -1. Suppose a = -2*u + 5*p - 0, 3*u - 5*p - 11 = 0. Solve 4*v - u = -2*w, 3*v = 2*w - 0*w + 9 for v. 3 Let m = 2 + 16. Solve -2*z = -4*u + m, -3*z + 5*u = 11 + 14 for z. -5 Suppose 4*z + 38 - 9 = 5*r, 0 = -3*r - 2*z + 13. Let a be (-2)/10 - r/(-25). Solve 0 = -3*d + 9, a = -4*y + y + d + 9 for y. 4 Let v be (-4)/14 + ((-115)/7)/(-5). Solve d = -2*y - v, 8*y + 3*d + 7 = 3*y for y. -2 Suppose 0*d - 2 = 2*d + 5*r, 0 = 5*d + 5*r - 10. Solve d*k = 5*k - 3*p + 12, k = -4*p + 23 for k. 3 Let v(b) = -b**3 + 11*b**2 + 14*b - 21. Let d be v(12). Solve -2*i + 1 = 3*m, 5*m + d*i - 2*i = 4 for m. 1 Let b be (3/5)/((-5)/(-125)). Let y = b - 11. Solve 5*s = l - 5*l - y, 0 = 4*s - 3*l - 3 for s. 0 Let q = -10 + 13. Solve 3*s - 2*n = 2*n - 10, 5 = -q*s - n for s. -2 Suppose -12 = f - 16. Solve v - f*z = -4, 4*v + 8 = 2*v - 3*z for v. -4 Let g(a) = a - 20. Let j be g(24). Solve -j*w = 2*v - 6, -2*w + v + 15 = -2*v for w. 3 Let f(c) = -c. Let o be f(-3). Suppose 4*u + g = 76, -4*g = -4*u + 27 + 29. Let a be u*2/(-12)*-3. Solve 13 = -n + o*t, -3*n + t - a = 2*t for n. -4 Let y = 33 - 33. Solve y = -2*z + q, 0 = -2*z - 0*q - q - 8 for z. -2 Suppose 3 = -2*d - 5. Let v be (2*1)/(d/(-14)). Let g(c) = -c**3 - 7*c**2 + 6*c - 10. Let j be g(-8). Solve 0 = -4*h - 3*m - j, -2*h + v*h = 5*m + 10 for h. 0 Let r be (-6)/(-4) - 1/(-2). Let o = 12 + -10. Suppose -o*n + 7*n - 25 = 0. Solve 0 = -r*j + 5*t + 6, n*j - 12 - 3 = 2*t for j. 3 Let g be (-1)/3*-3 + 1. Let t = g + 7. Solve 3*n = -t, -3*c = -c + 4*n + 20 for c. -4 Suppose 5 = -b, 5*a + 5*b + 2 = -18. Solve 2*i - a - 1 = 4*q, 5*q = i - 7 for q. -2 Let k = -36 - -18. Let c be k/(-4) + (-12)/24. Solve 5*g + 16 = -4*d + c, 4*g - 2*d + 20 = 0 for g. -4 Suppose -4*x - 7*q + 2*q = -43, -4*x + 5*q + 13 = 0. Let y = 1 + x. Solve -2*u + 0*u = -g + 4, 0 = g - 4*u - y for g. 0 Let g be -1 - (-1 - 1 - 1). Suppose 7 = 5*y + g. Let m = 0 - -3. Solve 4*w + 3*q + 12 = -y, -10 = w + m*q for w. -1 Suppose -3*h = -1 - 2. Suppose 0 = -m - h + 4. Let b = 16 + -2. Solve 3*k + 43 - b = 5*x, -m*x = -3*k - 21 for x. 4 Let l(m) = m**3 + 7*m**2 - m - 4. Let u be l(-7). Suppose -14*o + 40 = -6*o. Solve -u*s = -o*k + 30, -s + 7 - 3 = 3*k for k. 3 Suppose -8*x = -3*x + x. Suppose 1 = 4*l - 63. Solve -2*a = x, 3*p - 5*a + l = -p for p. -4 Let j(z) = z + 5. Let o be j(0). Let u = o + -2. Suppose -4*v + 12 = -0. Solve v*y + 0*y - 12 = -3*w, u*w = 2*y + 12 for y. 0 Let n = -69 + 72. Solve -2*d - 5*r - 15 = 0, 1 = -5*d - n*r + 11 for d. 5 Suppose 0 = -w + 3. Suppose -1 = -x + w. Solve -2*v + 12 = x*f - 4, -3*f - 5*v = -26 for f. 2 Let x be (-106)/(-34) + (-10)/85. Solve -2 = 4*h + 5*i - 1, 2 = -x*h - 5*i for h. 1 Let b = -81 - -84. Solve 3*u - 15 = -b*t, -8*u = -6*u - 4*t + 2 for u. 3 Let u = 101 + -88. Solve -5*c = -3*f + 21, c + u = 4*f + f for f. 2 Suppose -5*v + 11 = -44. Let y(n) = n - 2 - 2 + 2. Let d be y(4). Solve -d*s - s = 5*w - v, w = s - 1 for w. 1 Suppose m - 42 = -0*m + 3*s, -18 = -m - 5*s. Solve 0 = 4*f + 2*a + 12, -3*f - 2*f + 2*a = m for f. -5 Let v be 21 + -7 + 8 + 1*3. Solve -2*f - f + v = 2*n, 3*f - 10 = n for n. 5 Let d be 10/15 - (-14)/6. Solve 4*q - 4*x = 12, -5*q - 5*x + x - d = 0 for q. 1 Let f(y) = -y - 4. Let z be f(-4). Suppose z*n = -2*n + 14. Solve -2*o - 4*k = -n*o + 10, k + 5 = 0 for o. -2 Suppose -5*v - d + 16 = 0, -2*v - 3*v - 2*d = -17. Solve 0 = g + 3*p + 8, 3*p - 9 = v*g + 3 for g. -5 Suppose -12*t + 18 = -6*t. Solve -22 = -t*q + 5*r, 3*q + r + 11 = 3 for q. -1 Let v = 83 + -80. Solve v*s + 5 + 9 = -4*x, -x + s = 0 for x. -2 Let u(p) = -4*p - 31. Let x be u(-9). Solve -x*b = 5, 3*b + b = -3*c + 5 for c. 3 Let h(g) = g**2 + 8*g + 3. Let f be h(-8). Suppose f*c = -5*a - 1 + 19, 3*a - 13 = -4*c. Suppose 2*o + o = a. Solve 5*z + l = 13, 4*l - o + 0 = -3*z for z. 3 Let g(m) = -m + 10. Let l be g(4). Solve f - l*f = 3*c + 14, -2*c + 16 = -3*f for c. 2 Suppose -q + 4*q = 54. Suppose -5*b + g + q = 0, 3*g = -4*b + b. Solve 2*u = -k + 3*u - 1, 2*k - u = b for k. 4 Let w = 17 + -9. Solve 4*p + 3*v - 11 = 2, 5*p - w = -v for p. 1 Suppose -5*i + 9*i + 32 = 0. Let o = i + 8. Solve 5*q = -5*y + 9 + 1, o = 4*q + 3*y - 3 for q. -3 Let x(i) = i + 5. Let y be x(5). Let z be 1/5*2*y. Solve c + 3*a = -0*a + 6, 0 = z*c + 4*a - 8 for c. 0 Suppose 4*c - 40 = -0*c. Let r be (8/(-18))/(c/(-45)). Suppose -3*a - 5 = -5*v + 14, -v - 5*a - 13 = 0. Solve v*s = -x, r*x - 4*s = 5*x - 4 for x. 4 Let w(f) = f**2 + 7*f + 2. Let r be w(-6). Let q = r - -3. Let k be q - -3*(-1 + 2). Solve k*n + 4*v + 5 + 5 = 0, 6 = -3*v for n. -1 Suppose 0 = -z - 2*y + 6*y + 30, 4*z + y - 52 = 0. Solve -8*r + p - z = -4*r, 5*r - 5*p = -10 for r. -4 Let p(f) = 2*f**3 + f**2 - 2*f + 1. Let s be 8/(-24) + 4/3. Let d be p(s). Solve t = -3*h + 6, 1 = h - d*t - 1 for h. 2 Let x = 0 - -5. Let c(u) = 7*u**2 - 2*u - 5. Let l be c(-2). Solve -2*f + x*y - 16 - 4 = 0, 5*f + l = y for f. -5 Suppose 0 = -0*v + 3*v - 18. Let f be (3/v)/(3/30). Let d(a) = -a**3 - a**2 + 2. Let h be d(0). Solve -f*w - 3*m = h, w = m + 2 + 4 for w. 2 Suppose -4*v + 13 = -19. Solve -4*n - 14 = 5*m, 2*n - 3*m = -6*m - v for n. -1 Let l = 16 - -26. Suppose -2*t - 2*z = -0*z - l, -2*t = 3*z - 40. Solve -t = 5*r - 3*w, -r = w - 2*w + 5 for r. -4 Suppose n + 5*w + 14 = 0, -5*n - 49 = -0*w + 4*w. Let p = 11 + n. Solve -2*s + 20 = -2*o + p*s, 2*s = 6 for o. -4 Let j(r) = r**3 - r. Let x be j(1). Solve 5*y = -k + 5, -5*k = -2*y - x*k + 2 for y. 1 Let r = 4 - 1. Let o be (1 - 2)/(1/(-5)). Let p be 2/(-1*-1*1). Solve i - r*i + l + o = 0, p*l = i - 10 for i. 0 Let d(j) = j**2 - 5*j - 3. Let b be 8/3*9/4. Let x be d(b). Solve -x*i = -4*n - 19, -3*n + 6*i = i + 28 for n. -1 Let x = -1 - -4. Let n(b) = -b**3 + 3*b**2 + b - 1. Let t be n(x). Solve -7 = 3*k - 3*q + t, -q = -4 for k. 1 Let f = 15 + -10. Solve 0 = -5*p + f*j - 2*j + 31, -5*j - 25 = -3*p for p. 5 Suppose 0 = -2*x + 5*s + 15, x - 22 = -4*x - 3*s. Suppose 0 = x*v - 5*q, 2*v - q - 3*q + 4 = 0. Solve -4*w = -5*l - 0*l - 9, 0 = -w - 3*l - v for w. 1 Let n(o) = -2*o - 5. Let d be n(-6). Suppose 8 = -i - 4*s, 5 = 3*i + 3*s - d. Solve 7*m + i = 3*x + 2*m, -m = -5*x - 16 for x. -4 Let p be -8*2/(-2) - 3. Solve 2*j + p = n - 3*j, n - 5 = -5*j for n. 5 Let p(w) = -w**2 - 7*w - 2. Let d be p(-5). Let o(j) = -j**3 + 9*j**2 - 7*j - 6. Let u be o(d). Solve -m = -0*m - u, -8 = -3*g + 2*m for g. 4 Suppose 6 + 2 = -2*h, -2*j + 3*h + 16 = 0. Let c(i) = 16*i - 1. Let l be c(1). Solve j*b + b + 3*w = l, 1 = w for b. 4 Suppose 4 = b - c + 3*c, -2*c + 12 = 3*b. Suppose b = 3*y - 5. Let m = y - -2. Solve -s = 2*s + 4*d + m, 0 = -4*s + 3*d + 35 for s. 5 Let o be 5/(-15)*-1 - 10/(-6). Solve 7 = o*b - 3*n + 22, -4*b = -n + 15 for b. -3 Let z = -10 + 17. Let g = 28 - 28. Solve -f - 5*a = -z, 0 = 2*f + 3*a - g*a for f. -3 Let v(b) = -2*b + 4. Let u be v(3). Let c be (u/4)/(1/(-8)). Solve -t - 12 = -3*h, -h - 3*h = -c*t - 24 for t. -3 Let j(k) = -5*k - 15. Let u be j(-12). Solve 0 = -3*o + 1
{ "pile_set_name": "DM Mathematics" }
) - 2*h**2 + 7*h**5 + 2*h**2 + 2*h**2 - 2*h**5 - 2*h**2. 15*h**5 Expand (-u + 4 - 4)*(-3 + 0 + 1) - 11*u + 0 + 13*u - 2 + (-4 + 1 + 1)*(-2*u - 2 + 2). 8*u - 2 Expand -2*g**5 + g**3 - g**3 + 2*g**3 + g**5 - 2*g**3 + (-2*g + 7*g - 3*g)*(-1 + 1 - 2*g**4) + (288*g**2 - 288*g**2 + g**4)*(-1 + 1 - g). -6*g**5 Expand (3 - 1 + 3)*(2 + 1 - 4)*(-5*z + 3*z - 2 - z). 15*z + 10 Expand -3*q + 3*q - 5*q + 0*q + q + 0*q + (-3*q + 2*q + 0*q)*(-2 + 1 + 3) + 2*q + 2*q - 5*q. -7*q Expand -o + o**3 + o + (2 - o**2 - 2)*(0 + 0 + 2*o) + (-o - 4 + 4)*(o - o - o**2) - 1 + 1 + 2*o**3. 2*o**3 Expand (3*c + 3*c - 4*c)*(-c**2 - 2*c + 2*c - c). -2*c**3 - 2*c**2 Expand (66 - 131 + 68 - 23*i)*(-1 + 0 + 0). 23*i - 3 Expand (-1 + 2 + 1)*(m**3 + m**4 + m**3 + 1 - m**3). 2*m**4 + 2*m**3 + 2 Expand (-y + 0*y + 3*y)*(-2 + 2 + 1) - 2 + 2 + 2*y + 0*y + 3*y - 2*y. 5*y Expand (1 - z**3 + 16*z + 1 - 13*z)*(0 + 0 + 1)*(-3 + 2 + 2). -z**3 + 3*z + 2 Expand (4*c - 10 + 9 + 0*c)*(2 - 2*c - 2). -8*c**2 + 2*c Expand (12 + 8 + 7)*(-4 + 3 + 2*g - 3*g). -27*g - 27 Expand (5 - 2 - 2)*(9 - 11 + 15)*(-1 + 1 + 2*o). 26*o Expand (3*c**3 - 2*c**3 - 3*c**3)*(6 - 2 - 2) + (0 + 2 + 0)*(2*c**3 + 5 - 5) - c**3 + 2*c**3 - 4*c**3 + 2*c**3 - 5 + 5. -c**3 Expand (-u**2 + u - u)*(15*u - 6 + 6). -15*u**3 Expand (-1 - 1 + 4)*(b**5 - b**5 + b**5) + (5*b - 4*b + 4*b)*(b**4 - 2*b**4 - b**4). -8*b**5 Expand -4*s**2 + 2*s**2 + 4*s**2 + 2*s**2 - 2*s**2 + 2*s**2 + (s - 6*s + 4*s)*(-1 + 1 - 2*s) + (0*s**2 + s**2 - 2*s**2)*(0 + 1 - 2). 7*s**2 Expand (v**2 + 0*v + v + 3*v)*(0*v**2 + v**2 + 0*v**2). v**4 + 4*v**3 Expand (14 - 14 + 9*a)*(-3*a + 2*a + 3*a) - 2*a**2 - 3*a**2 + 7*a**2 - 2*a**2 + 2*a**2 + 2*a**2. 22*a**2 Expand (-5*b + 2 + 13*b + 12*b)*(-1 + 0 - 1). -40*b - 4 Expand (-3*c + 15*c - 4*c)*(2*c**4 - 2*c**4 - 2*c**4) + 0*c**2 + 0*c**2 - c**5. -17*c**5 Expand (-3*g**2 + 4*g**2 + 2*g**2)*(5*g - g - 2*g)*(-41 - 10 + 15)*(-1 - 3 + 2). 432*g**3 Expand (11 - l**4 - 5*l**4 + 2*l**4)*(0 - 4 + 3). 4*l**4 - 11 Expand (2*j + 9 - 9)*(0 + 4 - 1 - 4 + 2 + 0 + 1 - 2 + 0 + (0 + 4 - 2)*(1 + 1 - 4) + 3 + 0 - 1). -4*j Expand (-10 + 5 - 8)*(-d**4 + 0*d**4 - 5*d**4). 78*d**4 Expand -4*f + 4*f - 3*f**3 + (-f - 3*f + 0*f)*(3*f**2 + f**2 - 6*f**2) + 5*f**3 - 4*f**3 - 2*f**3. 4*f**3 Expand (-4*b**2 + b**2 + b**2)*(28 - 28 - 16*b**3 + (0*b - 2*b**2 + 0*b)*(-b + 0*b + 0*b)). 28*b**5 Expand (-60*h - 14*h + 9*h)*(3*h - 3*h - 2*h). 130*h**2 Expand (0*y**3 + 0*y**3 - y**4)*(2 - 3 + 4 - 2*y)*(7 - 2 - 2). 6*y**5 - 9*y**4 Expand (0*l**2 - 4*l**2 + 3*l**2)*(-30 + 4 - 12)*(0*l + 3*l - 2*l). 38*l**3 Expand (-2*j**3 + 5*j**3 - 2*j**3)*(-10*j - 4*j**2 + 10*j) + 4*j**5 + 4*j**5 - 5*j**5 + (4*j**3 + 0*j**3 - 6*j**3)*(j**2 + 1 - 1) - 2*j**5 + 2*j - 2*j. -5*j**5 Expand (3 - 3 + 1)*(0 - 4 - 3)*(l - 3*l + 4*l). -14*l Expand (-3 + 3 - 2*s)*(0*s + 0*s + 2*s**2) + (0*s + 0*s - 2*s)*(s**2 - 4*s**2 + 2*s**2). -2*s**3 Expand -5*f + 2*f + 4*f - f + f + 2*f - 3*f - f + 2*f + (5*f - 6*f + 2*f)*(1 - 4 + 5) - 4*f + f + 5*f - f + f - f - 6*f + 3*f + 2*f - 26*f + 65*f - 26*f. 16*f Expand (0*b - 13*b - 2*b)*(-3*b - 4*b + 5*b). 30*b**2 Expand (3*v**2 + 4*v**2 - 5*v**2)*(-1 + 1 + 5)*(2*v**2 - 3*v + 3*v). 20*v**4 Expand (r**2 - 2*r**2 + 2*r**2)*(-4*r + r + 2*r) + 2*r**2 + 6*r**3 - 2*r**3 + 5*r - r**3. 2*r**3 + 2*r**2 + 5*r Expand (0*w - 2*w - 2*w)*(0*w - 7*w + 3*w) - w**2 - 2 + 2. 15*w**2 Expand -j + 1 - 1 + (-10 + 4 - 5)*(2*j + 0 + 0). -23*j Expand (-2*y - 2*y + y)*(6 - 2 - 2). -6*y Expand (4 - 1 - 1 + (-2 - 1 + 4)*(-2 + 2 - 1) - 5 + 1 + 0)*(0*q**4 + 2*q**4 - 3*q**4). 3*q**4 Expand (3 - 2 + 1)*(0*j**2 - 7*j**2 - 2*j**2) + (6*j - 2*j - 3*j)*(3*j + 0*j - 4*j). -19*j**2 Expand (43*h - 38*h + 26*h)*(0 + 0 + 1). 31*h Expand (-m - m + m)*(30*m**3 - 3*m**3 - 2*m**3)*(-3*m - 3*m + 4*m). 50*m**5 Expand (6 - 6 + 4*z**3)*(-1 + 2*z + 1). 8*z**4 Expand (-x + 2 + 0 + 0*x)*(10*x + 2 - 2). -10*x**2 + 20*x Expand -11*t + 3*t**2 + 10*t + 0*t**2 + 2 - t**2 - 2 + (2*t - 1 + 1)*(5 - 2*t - 5) + 5*t**2 - 3*t**2 - t**2. -t**2 - t Expand (-9*p - 3*p + 3*p)*(2*p - p - 2*p)*(-2*p**3 + 2*p**3 - 2*p**3). -18*p**5 Expand (-2*h + h**3 + 2*h)*(-3*h + 0*h + h)*(3*h - 6*h + h). 4*h**5 Expand (-m + 0*m + 2*m)*(0 - 1 + 2)*(-47 + 26 - 52). -73*m Expand -5*s + 5*s + 2*s**2 + (0 + 2 - 5)*(15*s**2 - 18*s**2 - 18*s**2). 65*s**2 Expand (q - 2*q**2 - q)*(q - q + 2*q**2) + (-4*q + q - 2*q)*(-2*q**3 - 2*q + 2*q). 6*q**4 Expand (-4*r**4 + 0*r**4 + 3*r**4)*(-983 + 983 + 11*r + 6*r). -17*r**5 Expand (2*b**2 - 4*b**2 - 3*b**2)*(-6 + 6 + 8*b). -40*b**3 Expand (i + 6*i - 3*i)*(-17*i**2 - i + 6*i**2 + 3*i). -44*i**3 + 8*i**2 Expand (-8 - 536*m**2 + 1070*m**2 - 540*m**2)*(-m**2 - m**2 + m**2). 6*m**4 + 8*m**2 Expand l**4 + 2*l**4 + 0*l**4 + (3*l**3 - 7*l**3 - l**3)*(-l - 1 + l - 2*l). 13*l**4 + 5*l**3 Expand -3 + 3 + 2*v - 3 + 3 - 3*v + (1 - 3 + 3)*(2*v - 2*v - 2*v) - 6*v + 6*v - 3*v. -6*v Expand -z**4 - 2*z**4 + 0*z**4 + (4 - 4 - 2*z)*(5*z**3 - 4*z**3 + z**3). -7*z**4 Expand -6*a**3 + 2*a**3 + 2 + 0*a**3 + 8*a**3 - 5*a**3 + a**3 + (a**2 - 4*a**2 + 4*a**2)*(a - 4*a + 4*a) + 1 - 1 + 2*a**3. 3*a**3 + 2 Expand g**2 + g**3 - g**2 + (g**2 - g**2 + 2*g**2)*(1 + 2*g - 1) + g**3 + g**3 - 4*g**3. 3*g**3 Expand (4 + 1 - 3)*(-2 + 3 - 4)*(-4*q + 3*q + 3*q). -12*q Expand (1 - 1 - t)*(-3 - 6 + 59). -50*t Expand (0 + i + 0)*(-4 + 4 + 1)*(2 - 2 + i). i**2 Expand (-5 + 5 - 3*p**3)*(-1 + p + 4 - 2). -3*p**4 - 3*p**3 Expand (-2*k - k + 2*k + k - 2*k + 0*k + (2*k + 0 + 0)*(-3 + 2 + 2) + 3 - 3 - 2*k - 5*k + 5*k + k)*(-2*k**2 - k**2 + 4*k**2) + 8*k**3 + 2*k**3 - 4*k**3. 5*k**3 Expand 0*b - 3*b + b + 3*b - 5*b + 3*b + (-1 + 2 - 3)*(b + 4 - 4) - 4*b - 2*b + 5*b + 0*b + 3*b - 5*b + 3*b - b - b + 0*b - 2*b + 4*b. -3*b Expand (3*l + 2*l - 4*l)*(4*l**2 - 2*l**2 + 3*l**2) + 0*l + 2*l**3 + l + 0*l. 7*l**3 + l Expand (-1 + 0 - 1)*((-3 + 0 + 1)*(0 - 2 + 4) + 5 - 2 - 2 + 2 + 7 - 2)*(4*u - 3*u + u). -16*u Expand -3*g**2 + 3*g**2 + g**2 - 3 + g**2 + 3 + (-g + 1 - 1)*(-2*g - g + 2*g) + 4 - 9 + 3 + 5*g**2. 8*g**2 - 2 Expand (5 - 4 - 2)*(18*i - 23*i + 14*i) + 4*i - 5*i + 3*i. -7*i Expand (3*p + 8*p + 4*p)*(-2*p + 2*p + p**3) + 4*p**4 + 2*p**4 - 2*p**4. 19*p**4 Expand (-4 + 1 + 2)*(0*m + 3*m - 2*m + 2). -m - 2 Expand (3*g - 8*g + 4*g)*(-3 + 4 + 3). -4*g Expand (0 - 1 + 3)*(1 - 1 + 5)*(-2*v + 4*v - 3*v). -10*v Expand (-1 - 1 + 4)*(0 + 0 + 2*p) + 1 - p - 1 - p - p + 0*p + (3 + 0 - 2)*(5 + 3*p - 5). 4*p Expand (-3*l**3 + l**3 + l**3)*(-2*l**2 + 1 - 1) - 16*l + 3*l**4 + 16*l + 3*l**5. 5*l**5 + 3*l**4 Expand (2*d + d - d)*(-3 + 3 + 2*d) + (18 - 7*d - 18)*(-d + 4*d - d). -10*d**2 Expand -3*w**4 - 15*w**4 - 10*w**4 - 2*w**3 + 2*w**3 + 2*w**4 + (-2*w**2 - 2*w**2 + 3*w**2)*(-2*w**2 + w**2 + 2*w**2) + 0*w**4 + 2*w**4 + 0*w**4. -25*w**4 Expand (m + 0*m + 0*m)*(-1 - 5 + 7). m Expand (3*d**2 - 2*d**2 + d**2)*(-d**2 + 0*d + 0*d + (d + 2 - 2)*(2*d - 2 + 2) + 3*d**2 + 4*d**2 - d**2). 14*d**4 Expand 7*v**2 - 4*v**2 - v**2 - 3 + 3 + 2*v**2 + (-2*v + v + 2*v)*(v - 2*v + 2*v) - 71*v + 71*v + 9*v**2 + (4*v - 4*v + v**2)*(7 - 2 - 3). 16*v**2 Expand (-2*d - d + 0*d)*(2 - 3 - 3). 12*d Expand ((-2*h**2 + 4*h**2 + 0*h**2)*(-2*h + h + 0*h) + (3*h**2 - h**2 - 4*h**2)*(0 + 17*h + 0))*(-h**2 - h + h). 36*h**5 Expand (1 - 1 - d**4)*(7 - 8*d - 7) + d**3 - d**3 - d**5 - 2*d**5 - 3*d**5 + 7*d**5. 9*d**5 Expand (-7*k**4 + 9*k**4 + 4*k**4)*(-2 + 1 + 2)*(-k + 0*k + 3*k). 12*k**5 Expand (2*n + 0*n - n)*(2 + 0 - 3) + 0*n - n - n - 2*n - 1 + 1 + 2*n + 1 + 4*n + 6*n. 7*n + 1 Expand (1 + 2*a - 1)*(-1 - 2 + 4 + (-3 + 3 - 3)*(-6 + 1 - 2)). 44*a Expand (o**4 + 0*o + 0*o)*(-3*o + 3*o + 6*o - 1). 6*o**5 - o**4 Expand (-u**2 + u**2 + u**2)*(12*u - 45 + 45). 12*u**3 Expand 3*a - 31 + 16 + 38 + (0 - 1 + 0)*(3 - 3 + a). 2*a + 23 Expand (-4*v**2 + 3*v**2 + 3*v**2 + (-1 - 2 + 4)*(v**2 + 2 - 2) - 4*v**2 + 4*v**2 + 2*v**2)*(-v**2 + v**3 + v**2). 5*v**5 Expand -2*d**2 - 4*d**2 + 0*d**2 + (6*d - 4*d - d)*(0 - d + 0) - 13*d**2 + 2 - 2. -20*d**2 Expand (2*g - 3 + 3)*(0 - 4 + 2) + 2*g - g + g + 47*g - 25*g - 6 - 23*g. -3*g - 6 Expand (10 - 2 - 2)*(-5*z + 2*z + 5*z)*(2 - 2*z**2 - 2). -24*z**3 Expand 1 + 2*g - 1 + 3*g + 0*g - 4*g + 5 + 2*g - 5 + (2 - 6 + 2)*(-4*g - 2*g + 4*g) + 4*g - 2*g + 0*g - 2*g + 4*g - 3*g + (1 - 1 - 1)*(3*g - 6*g + g). 10*g Expand (-4*h + 2*h + 3*h)*(4 - 3 + 0) + (16 - 6 - 7)*(2*h - 2 + 2). 7*h Expan
{ "pile_set_name": "DM Mathematics" }
7*n + 4*l = 32. Let q = n + p. Is q even? False Let m be (3/2)/(18/48). Suppose 194 = -m*r + 2*s, -4*r - 3*s - 209 = -0*s. Let u = 105 + r. Is u a multiple of 20? False Let k = 83 + 10. Is k a multiple of 9? False Let m(s) = s**2 - 7*s + 4. Let k(b) = -b**2 + 12*b - 3. Let u be k(11). Is m(u) a multiple of 6? True Let w(l) = -l**3 + 8. Let o be ((2 - 1)*0)/2. Let f be w(o). Is 2 a factor of -6 + f - (-4)/2? True Let j be 1/((-2)/148*2). Let c = 65 + j. Suppose c = -w + 3*w. Is w a multiple of 7? True Let a be 3/21 + (-104)/(-7). Let d = -9 + a. Does 3 divide d? True Let p be (3 + -1)/((-3)/(-6)). Suppose -p*b + 6*x + 225 = x, 5*b - 5*x = 280. Does 15 divide b? False Is 17 a factor of 3/45*3 - (-8404)/55? True Suppose -2*p = -7*p + 675. Suppose 2*x + 2*g - p = -x, 0 = -2*x - 2*g + 92. Suppose -x = -5*b + 17. Is 12 a factor of b? True Let m(x) be the first derivative of -x**2 + 2*x + 1. Let w be m(-2). Suppose 3*i + w = 5*i. Is i a multiple of 3? True Suppose 3*p + 5 - 17 = 0. Suppose 3*w - w = -3*a - 26, 0 = a - 2*w + 14. Does 3 divide p/(-10) - 34/a? True Let p be (-7 - -1)*8/(-4). Let g = 33 - p. Is g a multiple of 21? True Let c = -211 + 477. Is c a multiple of 14? True Let d(h) = -h - 1. Let t(l) = 2*l + 6. Let y(q) = -4*d(q) - t(q). Does 3 divide y(4)? True Let t(s) = 0*s**2 + 13 - 1 - 3*s**2 + 2*s**2. Is t(0) a multiple of 4? True Suppose 0 = -3*q - q + 24. Let a = q - 4. Does 12 divide 15 + (a - 1) + -4? True Suppose -v + 73 = 3*j, -j - 168 = -2*v + 4*j. Let p = -41 + v. Does 8 divide p? False Suppose 5*y - 2*v - 229 = 0, 4*v = 4*y + y - 233. Is 3 a factor of y? True Suppose -d - d = -4. Let g(n) = 9*n - n**2 - 9 + 6*n**d + n - n**3. Is g(6) a multiple of 15? True Suppose -25 - 15 = -2*n. Let l = n + 16. Is l a multiple of 12? True Let a(o) = -o**3 - 9*o**2 - 4*o - 4. Let f be a(-7). Suppose -4*w + 151 + 345 = 0. Let p = f + w. Does 17 divide p? False Suppose 0 = -0*m - 5*m + 15. Let i(g) = -g**2 + 4. Let s be i(2). Suppose 0 = -s*x - 2*x - 5*u + 2, -m*x - 2*u = -14. Does 6 divide x? True Suppose -5*z + 30 = 5*w, -z - 12 = -3*z + w. Suppose u = -n + z, -n = -5*u + 25 + 11. Suppose 27 + u = 2*h. Is 10 a factor of h? False Suppose -3*z = 4*m - 4, -1 = -0*z + 4*z - m. Let l = 0 - z. Suppose -5*v - x + 85 = l, 4*v - 79 + 2 = x. Does 8 divide v? False Suppose 2*s = -5*q + 176, 104 = 3*q + 4*s - 2*s. Is 9 a factor of q? True Let u = 14 + -8. Suppose 3*w - 6 = u. Is 18 a factor of (-18)/((2 - 4)/w)? True Let x(h) = 5*h**2 - h + 1. Let g(m) = m**2 - 9*m + 9. Let c be g(8). Does 5 divide x(c)? True Let l(r) = -r**2 + 0*r + 2*r**2 + 9 + 7*r. Is l(-6) a multiple of 2? False Let k = 5 + -1. Let t = 8 - k. Is 4 a factor of t? True Let o = -31 - -36. Does 2 divide o? False Let l = -3 - -22. Is 17 a factor of l? False Let l be ((-18)/15)/((-1)/10). Suppose -27 - l = -y. Is y/2*(-4)/(-6) a multiple of 13? True Let o be (7 - -33)*(-1 - -3). Let w = -12 + o. Suppose -i = 3*i - w. Does 6 divide i? False Let o(f) = 11*f**3 - 2*f**2 + 3*f - 2. Does 14 divide o(2)? True Let f = 2 + 0. Suppose -6 = -5*w + 3*g, -3*w + w - g = f. Suppose w = -h + 6*h - 45. Is 5 a factor of h? False Let o be (9/6)/((-2)/(-164)). Suppose -2*l - 2*w = w - 44, -w + o = 5*l. Let r = -9 + l. Is 8 a factor of r? True Suppose -4*f - 13 = 23. Let r = f + 18. Is 9 a factor of r? True Let f be (-4)/18 + 5230/45. Suppose -t + f = 3*t. Is t a multiple of 12? False Let t be -8*(-1 + 3/2). Does 27 divide 2/t + (-179)/(-2)? False Suppose -7 = -2*f + 1. Suppose 44 = f*o - 2*o + j, -4*o = 4*j - 92. Is o a multiple of 9? False Let f(s) = 9*s + 2. Let w be f(3). Suppose 5*c - w = 2*l, c - 2*l = 3*l - 8. Does 4 divide c? False Let s(v) = 3*v**2 + v - 4. Is 20 a factor of s(-4)? True Suppose -369 = 9*n - 1638. Is n a multiple of 12? False Suppose 0*t = 5*t - 275. Let g = -39 + t. Is g a multiple of 7? False Suppose 0 = 4*n + 2*k - 74, -20 = -n + 4*k + 3. Is n a multiple of 15? False Suppose -2*m + 21 = -3*r, 0 = -7*m + 8*m - 5*r + 7. Is 18 a factor of m? True Suppose 0 = -2*h + k + 82, 3*k - 6 = -0*k. Is h a multiple of 21? True Let l = -4 - -24. Is 20 a factor of l? True Suppose k = -32 + 56. Is k a multiple of 12? True Suppose 0 = 2*r + 8 + 12. Let d = 53 + r. Let b = d + -14. Does 13 divide b? False Suppose -f = -0*l + l - 143, 16 = -4*f. Is 21 a factor of l? True Let r be (-4)/(-14) + 4/(-14). Suppose r = 2*a - 0*d - 5*d - 33, 3*d = -15. Suppose 2*s - 3*g = s + a, -s = -g - 8. Does 4 divide s? False Suppose -u + q + 4 = 0, -5*u + 16 = -2*u - q. Is 12 a factor of (-6)/(-3 - (-17)/u)? True Suppose -g = -0*g - 23. Let s = 47 - g. Does 12 divide s? True Let q(p) be the second derivative of p**4/8 - 3*p**2/2 + p. Let s(t) be the first derivative of q(t). Does 15 divide s(5)? True Let z = -9 - -18. Let r = 5 + z. Suppose -11 = -5*u - h + r, 3*h = 15. Does 4 divide u? True Suppose 5*z + 0*z = 900. Does 26 divide z? False Suppose -254 - 151 = -4*b + 5*a, 0 = -4*b + 3*a + 403. Is 12 a factor of b? False Suppose -4*d + 3*t - 9 = -24, -d - 2*t = 10. Suppose -2*m - 4 + 14 = d. Let s = m + -2. Is s a multiple of 3? True Let f be 1 + -2 + 4 + 0. Suppose 3*m = -m + 8, -4*t - f*m = -174. Is t a multiple of 11? False Let r = -59 + 71. Is 3 a factor of r? True Suppose 0 = -2*q - 2*q + 16. Is 4 a factor of (q - 5)/((-1)/6)? False Suppose 3*d + 0*n = -2*n + 7, -d - n = -2. Let i = 50 - -125. Suppose -8*p + d*p = -i. Does 12 divide p? False Let c(u) = u**3 - 10*u**2 + 4*u - 20. Is c(10) a multiple of 4? True Let s(b) = -25*b + 6. Let t be s(-3). Suppose 3 = 3*y - t. Is 7 a factor of y? True Let k(s) = s**2 + 6*s + 2. Let m be k(-8). Let y = 1 + m. Does 13 divide y? False Suppose -2*t + 4*a + 8 = -4*t, 0 = 2*t + 3*a + 5. Suppose -4*r + 5*x = -94, 4*r + t*x + 0*x = 108. Is 13 a factor of r? True Let q(z) = z**2 - 13*z + 30. Does 8 divide q(12)? False Suppose -j = -3*o + 118 + 558, 1140 = 5*o - 5*j. Does 32 divide o? True Let b(z) be the third derivative of -z**6/120 - z**4/12 - z**3/3 - z**2. Is 11 a factor of b(-3)? False Suppose 8 = 4*v + 36. Let b = v + 25. Does 5 divide b? False Suppose -u - 52 = -0. Is 6/(-4) + u/(-8) a multiple of 3? False Is 4 - -10 - (-1 - -3) a multiple of 12? True Let z = 5 + 0. Suppose -6*j + i + 72 = -j, -z*i = -4*j + 45. Is j a multiple of 5? True Let o(f) = -f**2 - 23*f - 20. Does 23 divide o(-16)? True Let l be 2 + 1 + -1 + -2. Suppose -y - d = -3, -3*d = -l*y + 2*y - 3. Suppose y*r = r + 35. Does 7 divide r? True Let b = -2 + 2. Does 6 divide (1 - (b - -2)) + 8? False Let w(q) = 20*q**2 + q - 1. Let s be w(1). Let v be (-6)/5*s/(-3). Let p(z) = z**2 - 4*z - 9. Is 10 a factor of p(v)? False Let k be (-2)/(-7) - (-99)/21. Let f(z) = 3*z - 3. Let d be f(k). Does 20 divide (3*d)/(5/5)? False Suppose -5 + 0 = -5*a. Let l(g) = -6*g + a + 5 - 2*g**2 + g**2 - g. Does 6 divide l(-6)? True Suppose -5*a = -3*x - 142, 2*x - 1 + 9 = 0. Suppose 4*o - 18 = a. Is 3 a factor of o? False Suppose -4*k - 3*v = 20, 9 + 16 = -5*k - 2*v. Is 15 a factor of 1036/35 - 2/k? True Suppose -5*r + 6 = -4. Let u(h) = -h**3 - 14*h**2 - 25*h + 14. Let k be u(-12). Suppose -3*m - 59 = -5*s, 4*m - r*m = 2*s - k. Is 3 a factor of s? False Let y = 5 + -1. Suppose -4*o - 30 = -9*o. Does 21 divide (o/y)/((-2)/(-56))? True Suppose 6*x + 30 = 11*x. Is 4 a factor of x? False Let w(h) = h + 20. Is 9 a factor of w(19)? False Let g(p) = p + 3. Let c be g(6). Suppose -c = -7*d + 6*d. Does 9 divide d? True Let o(p) = 10*p + 19. Is o(5) a multiple of 9? False Let i(y) = -4*y**3 + 5*y**2 - 3*y - 6. Let r(h) = 3*h**3 - 4*h**2 + 3*h + 5. Let s(t) = 2*i(t) + 3*r(t). Does 13 divide s(3)? False Let i(t) = -t**3 - 8*t**2 + 3*t - 6. Suppose -8*o = -4*o + 36. Is 16 a factor of i(o)? True Let w(r) = -r + 1. Let u be w(-4). Suppose 2*a + 4*t = -2, -a + 3*a = -u*t - 6. Does 7 divide a? True Let t = -2 - -5. Suppose t*y = 4*o + 37, -2*y + 3*o - 12 + 38 = 0. Does 7 divide y? True Let i be 2/(1 + 2 + -1). Let b = i + -2. Does 11 divide 6/b*32/(-6)? False Suppose -z + 0*l - 2*l - 10 = 0, 5*l = -15. Does 14 divide (2 + -9)*(z - 0)? True Let b(s) = s**2. Let l be b(1). Is 19 a factor of 147/4 - l/(-4)? False Suppose 0*z + 152 = -4*z. Let o = -24 - z. Is o a multiple of 6? False Suppose 186 = -t + 4*t. Is 24 a factor of t? False Suppose 20 = m + 4
{ "pile_set_name": "DM Mathematics" }
. 2 Suppose 0 = b - 6*b - 3*z + 25, -3*z = 0. Suppose -2*p = 5*m - 65, 140 = b*p + 2*m + 9. Calculate the remainder when 122 is divided by p. 22 Suppose -536 = 4*f - 572. What is the remainder when f is divided by 1? 0 Let x = 27 - 30. What is the remainder when 41 is divided by 105/9 - (-2)/x? 8 Let g(a) = -2*a + 5. Let s be g(0). Suppose r - 32 = -s. Calculate the remainder when 51 is divided by r. 24 Let m = -5 - -29. Let a = -482 + 1042. What is the remainder when 1/(-3) - a/(-6) is divided by m? 21 Let j = -21 - -15. Let p(x) = x**2 + 4*x + 16. What is the remainder when 137 is divided by p(j)? 25 Let q(p) be the second derivative of 2*p**3/3 - 8*p**2 + 6*p. Let r be q(7). Suppose 0*x = -x + r. What is the remainder when 23 is divided by x? 11 Suppose 5*j + 43 = 2*w, 2*w - 44 = 3*j + j. Suppose 5*v - i = -2 + 25, 3*i = -5*v + 31. Suppose v*l = -w + 74. What is the remainder when 38 is divided by l? 8 Suppose 15 = 2*m + 5*q, -4*m + 75 = -m - 3*q. Calculate the remainder when (-969)/(-12) + 5/m is divided by 17. 13 Suppose 3*l + l = -3*b - 3, 3*b + 3*l = 0. Suppose -2*i + 14 = -2*n, b*i - 7*i + n = -16. Calculate the remainder when (8 - -1)/((-6)/(-8)) is divided by i. 0 Let x(m) = 2*m + 104. Calculate the remainder when x(-29) is divided by 34. 12 Let r(i) = i**2 - 2*i + 1. Suppose -5*n + s + 11 = 0, n - 4*n - s + 5 = 0. Calculate the remainder when r(n) is divided by 1. 0 Let a(f) = f + 9. Let t be a(5). Calculate the remainder when (-35)/t*408/(-10) is divided by 26. 24 Let y = -90 + 91. Let r(s) = 15*s + 1. What is the remainder when 29 is divided by r(y)? 13 Let r(m) = m**2 - 2*m - 4. Let v = 4 + -4. Suppose -4 = o - v*o. Calculate the remainder when r(o) is divided by 7. 6 Let g = 35 - -5. Suppose 3*r - 2*n = 41, -2*r - 5*n = -0*r - g. Calculate the remainder when 49 is divided by r. 4 Suppose 20 = 2*t + 6. Calculate the remainder when 329/28 + (-2)/(-4)*(-19)/(-38) is divided by t. 5 Let h = 30 + -19. Let i(a) = a**2 - 5*a + 3. Let s(z) = -2*z**2 + 9*z - 7. Let q(v) = -5*i(v) - 3*s(v). Calculate the remainder when q(-5) is divided by h. 8 Let d(j) = -j**3 - 60 + 15*j**2 + 54 - 20*j - 2*j. Calculate the remainder when 275 is divided by d(13). 45 Suppose 4*d = -4*m + 200, -3*d - 25 = -34. Calculate the remainder when 516 is divided by m. 46 Suppose 3*a - 34 = -3*p + 5*p, 5*p = 4*a - 36. Calculate the remainder when 24 is divided by a. 10 Let k(s) = -2*s - 13. Let t be k(-8). Suppose -53 - 34 = -t*c. Calculate the remainder when c is divided by 16. 13 Let j = -32 + 83. Calculate the remainder when (3 - (-3 + 10 + -3)) + j is divided by 26. 24 Suppose 16*v = 15*v + 24. What is the remainder when 451 is divided by v? 19 Let m = 0 + 2. Let v = 4 - m. Suppose 2*w = 6 - 0. Calculate the remainder when w is divided by v. 1 Let c(n) = -n**2 + 8. Let x be c(0). Suppose 3*k - x = 1. Suppose p + p - 14 = -3*o, 10 = 4*p - k*o. Calculate the remainder when 9 is divided by p. 1 Suppose f - s + 5 = 2*f, -18 = -4*f - 2*s. Suppose -f*b = 6*b - 70. Calculate the remainder when 11 is divided by b. 4 Suppose 2*r + 8 - 38 = 0. Suppose -3*o + 0*o + 4*s - 1042 = 0, -2*o - 5*s - 664 = 0. What is the remainder when (4/8)/((-3)/o) is divided by r? 12 Let k(y) = -1 - 3*y - 2*y**2 + 0*y + 3*y**2. Let n(f) = 2*f**2 + 28*f + 145. What is the remainder when n(-7) is divided by k(-3)? 13 Let g = -4957 + 5007. Suppose -2*i + 5*i - 41 = -2*w, -4*i + 92 = 4*w. What is the remainder when g is divided by w? 22 Let q = -648 - -1094. What is the remainder when q is divided by 56? 54 Calculate the remainder when 20 is divided by (9/2)/((-29)/(-58)). 2 Suppose 3*u = 33 + 36. Calculate the remainder when 36 is divided by (-3)/(-6)*-4 + u + -1. 16 Calculate the remainder when 0 - -2 - (-295 + -5 + -1) is divided by 22. 17 Let o(l) = -2*l**3 + 31*l**2 - 9*l + 31. What is the remainder when o(15) is divided by 12? 1 Let f(h) = h**2 - 29*h + 132. What is the remainder when f(28) is divided by 10? 4 Suppose 9*c - 3834 - 9 = 0. Suppose -5*x = -c - 428. Calculate the remainder when x is divided by 29. 26 Suppose -5*v + 8 = f + 4, -136 = -5*f + 4*v. What is the remainder when f is divided by -1 - 3/(9/(-30))? 6 Let b(o) = -o**3 - o. Let h(u) = 4*u**3 + 9*u**2 + 9*u + 3. Let f(y) = 3*b(y) + h(y). What is the remainder when f(-4) is divided by 0 + (-4)/(-1) + 11? 14 Suppose 0 = o + 4*o - 200. Suppose -20 = 2*b - o. Let j(n) = 2*n**2 + 4*n - 3. Calculate the remainder when j(3) is divided by b. 7 Let a = 8 + -10. Let t be a*(2 - 3) + 24. Calculate the remainder when 20 is divided by (-4)/t - (-372)/52. 6 Let z(y) = -y**3 + 76*y**2 + 164*y - 541. Suppose -4*b + 18 = -2. Suppose -b*p - 2 = -87. What is the remainder when z(78) is divided by p? 15 Suppose 914 = 2*x + 4*f, -342*x + 4*f + 874 = -340*x. What is the remainder when x is divided by 15? 12 Let d = 30 + 4. Suppose g + 4*n + d = 100, -2 = -2*n. Suppose -562 = -6*z - 466. What is the remainder when g is divided by z? 14 Suppose -46*k + 50*k = 404. Calculate the remainder when k is divided by 21. 17 Suppose 356 = -3*c - c. Let t(j) = 6*j. Let i be t(-4). Let z = i - c. What is the remainder when z is divided by 17? 14 Let o(s) = -s**3 + 31*s - 5. What is the remainder when 57 is divided by o(5)? 7 Suppose 28*p - 26*p = 226. What is the remainder when p is divided by 57? 56 Let a(g) = g**2 + 4*g - 8. Let c be a(-10). Suppose -8*n = -4*n - c. What is the remainder when 101 is divided by n/26*52*1? 23 Let n(q) be the first derivative of -q**4/4 + 10*q**3/3 - 3*q**2 - 12*q + 27. Calculate the remainder when n(9) is divided by 3. 0 Let i(g) = -25*g - 102. What is the remainder when i(-8) is divided by 3? 2 What is the remainder when 370 is divided by 34*(-13 - 297/(-22))? 13 Let m(p) = -2*p**3 - 3*p**2 + p - 7. Let x(r) = -2*r + 7. Let j be x(5). Calculate the remainder when m(j) is divided by 9. 8 Let m(i) = i**2 + 11*i + 5. Let p be m(-13). Let w = p - 29. Suppose w*h - 5*h + 24 = 0. What is the remainder when 28 is divided by h? 4 Let z = 57 + -41. Suppose 5*i + z = 101. Suppose -3*s + 1 = -i. What is the remainder when 17 is divided by s? 5 Let i be (-154)/(-55) - (-1)/5. Suppose -2*l - 46 = -i*x, 80 = 5*x + 3*l - 7*l. What is the remainder when 23 is divided by x? 11 Let p be 12/(-4) - 7/((-28)/60). Let q(i) = -i**3 + 14*i**2 - 12*i. Calculate the remainder when q(p) is divided by 29. 28 Let a = 176 - 169. What is the remainder when 47 is divided by a? 5 Let w = -407 - -1245. What is the remainder when w is divided by 15? 13 Let l = -8 - -51. Calculate the remainder when 465 is divided by l. 35 Suppose -2*k + 2 = 0, -2*t - 3*t = -4*k - 6. Calculate the remainder when 3 is divided by t. 1 Let w = -1 - -6. Suppose 15 = 2*u + 3*z, 0 = 5*u - 4*u + z - 5. Suppose u = b - w - 10. Calculate the remainder when 42 is divided by b. 12 Let w(o) be the first derivative of 6*o**2 + 15*o + 15. Calculate the remainder when w(5) is divided by 26. 23 Suppose 2*v = 3*v - 85. Let o be v/(-3) - (-8)/(-12). Let s = o + 48. Calculate the remainder when s is divided by 7. 5 Let i(u) = u**2 - 4*u + 34. What is the remainder when i(5) is divided by 32? 7 Suppose -3*d + 0*f = 3*f - 267, d - 2*f - 89 = 0. Calculate the remainder when d is divided by 25. 14 Suppose -92 = -3*w + 4*b, -b - 2 = 3. Let o be (-247)/3 - 60/90. Let z = 178 + o. Calculate the remainder when z is divided by w. 23 Suppose -2 = 2*d, 37 = 3*o + 4*d - 19. What is the remainder when 117 is divided by o? 17 Suppose 2*x + 4 = -5*q + 2*q, -x + 8 = 4*q. Let o = x + 56. Calculate the remainder when 191 is divided by o. 47 Let k = 580 + -565. What is the remainder when 24 is divided by k? 9 Suppose -7*g = -3*t - 11*g + 38, 5*t = -g + 35. What is the remainder when 89 is divided by t? 5 Let w(z) = -z**3 + 6*z**2 - 3*z - 4. Let g be w(4). Suppose 12*k - 102 = -6. Calculate the remainder when k is divided by 2/(-6) - g/(-3). 3 Suppose -5*k = 34 - 9. Calculate the remainder when ((-104)/k)/(50/125) is divided by 14. 10 Suppose -4*r + 4*g = -164, 4*g = 2*r - 52 - 28. Let y = -316 + 331. Calculate the remainder when r is divided by y. 12 Suppose 189 = 4*w + 49. Suppose 2 - w = -u. Let f = 51 - u. What is the remainder when 71 is divided by f? 17 Let n = 155 + -87. Suppose 19 + 15 = i - 4*z, n = 2*i
{ "pile_set_name": "DM Mathematics" }
cement from {u: 16, l: 1, o: 3}. What is prob of picking 2 u? 12/19 Two letters picked without replacement from {o: 1, r: 2, q: 1, b: 3}. What is prob of picking 2 b? 1/7 Three letters picked without replacement from kkkkkkoooo. Give prob of picking 3 k. 1/6 Two letters picked without replacement from dfdkdff. What is prob of picking 1 d and 1 k? 1/7 Four letters picked without replacement from rreeeaoamrumareram. Give prob of picking 2 a, 1 e, and 1 r. 2/51 Two letters picked without replacement from ppszvss. Give prob of picking 2 s. 1/7 Three letters picked without replacement from {r: 1, c: 3, j: 1, i: 6, p: 1, o: 5}. What is prob of picking 1 i, 1 p, and 1 j? 3/340 Three letters picked without replacement from iigigiiggiigii. Give prob of picking 3 g. 5/182 Two letters picked without replacement from {m: 2, z: 9}. What is prob of picking 2 z? 36/55 Calculate prob of picking 1 s and 1 f when two letters picked without replacement from sfayy. 1/10 Calculate prob of picking 2 z when two letters picked without replacement from ttztzzzztttzztzttz. 4/17 Calculate prob of picking 2 u when two letters picked without replacement from uuiju. 3/10 Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {j: 7, w: 7}. 7/13 Two letters picked without replacement from {l: 2, j: 1, y: 5, z: 1, s: 1, o: 3}. Give prob of picking 2 o. 1/26 What is prob of picking 3 r when three letters picked without replacement from rrrrrr? 1 Calculate prob of picking 2 q and 1 y when three letters picked without replacement from aayyqqajqa. 1/20 Three letters picked without replacement from {t: 14, d: 2, r: 1}. Give prob of picking 2 t and 1 r. 91/680 What is prob of picking 2 d when two letters picked without replacement from {d: 11, y: 3}? 55/91 Two letters picked without replacement from {q: 9, f: 1, b: 1, d: 3}. What is prob of picking 1 b and 1 d? 3/91 What is prob of picking 1 j and 1 e when two letters picked without replacement from oeyoooymjoeezoojyj? 1/17 What is prob of picking 1 v and 2 u when three letters picked without replacement from ubbbfbuav? 1/84 What is prob of picking 3 r and 1 n when four letters picked without replacement from rrnrrrrrrrkrrrrnr? 26/85 Two letters picked without replacement from {f: 1, q: 1, x: 1, l: 1, h: 1}. What is prob of picking 1 q and 1 x? 1/10 What is prob of picking 2 r and 1 q when three letters picked without replacement from kuuuqruqrququrruuq? 5/136 What is prob of picking 2 o and 1 t when three letters picked without replacement from {o: 2, t: 11}? 1/26 Two letters picked without replacement from jjqjjwqwjqtt. Give prob of picking 2 q. 1/22 Three letters picked without replacement from {u: 9, i: 3, q: 4, b: 2}. Give prob of picking 1 i and 2 u. 9/68 Calculate prob of picking 2 a when two letters picked without replacement from {y: 2, a: 2, x: 4}. 1/28 What is prob of picking 2 n when two letters picked without replacement from xnwnhwncnnnh? 5/22 Two letters picked without replacement from {w: 1, f: 1, m: 1, g: 1, a: 1}. What is prob of picking 1 a and 1 f? 1/10 What is prob of picking 1 q and 1 k when two letters picked without replacement from ymhkqkqm? 1/7 Two letters picked without replacement from yyyvyyyyyyyyyyyyyv. Give prob of picking 2 y. 40/51 Calculate prob of picking 1 b and 1 i when two letters picked without replacement from bamwmipiwwmbpipmiwim. 1/19 Calculate prob of picking 2 l and 1 t when three letters picked without replacement from lllllllt. 3/8 Four letters picked without replacement from ppppppdppppppppdpppp. Give prob of picking 4 p. 12/19 Two letters picked without replacement from udwmuumymygw. Give prob of picking 1 g and 1 m. 1/22 What is prob of picking 1 y and 1 l when two letters picked without replacement from {j: 1, y: 1, n: 1, x: 1, l: 1}? 1/10 Calculate prob of picking 1 f, 2 k, and 1 l when four letters picked without replacement from fkkeleqlqqmlfqlfqlql. 6/1615 Two letters picked without replacement from {g: 4, v: 1, t: 1, w: 2}. Give prob of picking 2 w. 1/28 Two letters picked without replacement from uussiusiss. What is prob of picking 2 i? 1/45 Calculate prob of picking 1 h, 1 p, and 1 a when three letters picked without replacement from apkhahhh. 1/7 Three letters picked without replacement from ayatyyatyyaiataai. What is prob of picking 3 a? 7/136 Three letters picked without replacement from {v: 3, m: 4, g: 4, l: 4}. What is prob of picking 1 l and 2 g? 24/455 What is prob of picking 2 c when two letters picked without replacement from bucgohc? 1/21 What is prob of picking 1 x, 1 f, and 1 w when three letters picked without replacement from {d: 1, w: 2, u: 1, x: 1, f: 1, c: 1}? 2/35 Three letters picked without replacement from {y: 3, e: 15}. What is prob of picking 3 y? 1/816 Calculate prob of picking 1 a and 1 g when two letters picked without replacement from alagvvaaavvvvlgalvg. 2/19 What is prob of picking 4 j when four letters picked without replacement from {j: 6, e: 2}? 3/14 Calculate prob of picking 1 g and 2 h when three letters picked without replacement from hghhhwwhhwhhwwwhh. 9/136 What is prob of picking 2 f and 1 q when three letters picked without replacement from {q: 10, f: 2, n: 6}? 5/408 What is prob of picking 3 z when three letters picked without replacement from {h: 1, e: 11, z: 6}? 5/204 What is prob of picking 2 u and 1 g when three letters picked without replacement from {u: 3, g: 1}? 3/4 Two letters picked without replacement from {n: 2, y: 3, g: 4, z: 1, p: 3, r: 6}. Give prob of picking 1 z and 1 n. 2/171 Three letters picked without replacement from xxxxxxxdlxxxtxxtxkxt. What is prob of picking 1 l and 2 x? 91/1140 Four letters picked without replacement from {c: 9, f: 1, e: 5, s: 1}. What is prob of picking 3 c and 1 f? 3/65 Three letters picked without replacement from {i: 2, x: 5, l: 2, f: 2, m: 2, h: 1}. Give prob of picking 1 i, 1 m, and 1 x. 5/91 Two letters picked without replacement from bqoiiiqqqiioiiqqii. What is prob of picking 1 i and 1 q? 6/17 Three letters picked without replacement from {i: 1, w: 11}. Give prob of picking 1 i and 2 w. 1/4 What is prob of picking 1 r and 1 v when two letters picked without replacement from {e: 1, r: 1, v: 1, u: 2}? 1/10 Four letters picked without replacement from ffsyyufffysuyqfyys. What is prob of picking 1 s and 3 y? 1/51 Four letters picked without replacement from {v: 2, r: 1, m: 6, q: 7, o: 2}. What is prob of picking 1 v, 2 m, and 1 r? 1/102 Three letters picked without replacement from {r: 2, m: 6, a: 4, s: 1}. Give prob of picking 1 a, 1 r, and 1 s. 4/143 Two letters picked without replacement from {r: 1, k: 1, w: 1}. Give prob of picking 1 r and 1 k. 1/3 Two letters picked without replacement from dfdcdrddfscdssccfdf. What is prob of picking 1 s and 1 d? 7/57 What is prob of picking 2 t when two letters picked without replacement from {t: 18, b: 2}? 153/190 What is prob of picking 4 i when four letters picked without replacement from diiiiiididdidddi? 9/130 What is prob of picking 1 v, 1 k, and 1 x when three letters picked without replacement from xxvxkkxxkkkvv? 75/286 Four letters picked without replacement from xqqxqqqqqqxqqxxq. Give prob of picking 2 x and 2 q. 55/182 What is prob of picking 1 u and 1 v when two letters picked without replacement from {i: 1, u: 4, v: 2, r: 4, m: 3, c: 1}? 8/105 What is prob of picking 2 l when two letters picked without replacement from vtnlllvtlvv? 6/55 Two letters picked without replacement from jrjissrrjjsjjrrjrj. Give prob of picking 1 j and 1 r. 16/51 Three letters picked without replacement from iciififcc. What is prob of picking 2 i and 1 f? 1/7 Four letters picked without replacement from {l: 10, t: 9}. What is prob of picking 4 l? 35/646 Three letters picked without replacement from mmmmnmmmmnm. Give prob of picking 1 n and 2 m. 24/55 Four letters picked without replacement from {l: 2, d: 2, x: 11, e: 4}. Give prob of picking 1 x, 1 e, and 2 l. 11/969 Four letters picked without replacement from sfffss. What is prob of picking 3 s and 1 f? 1/5 Two letters picked without replacement from {s: 1, f: 1, t: 10, r: 4, j: 2}. Give prob of picking 1 f and 1 t. 10/153 Four letters picked without replacement from ojmob
{ "pile_set_name": "DM Mathematics" }
-4*k(s) + p(s). -2*s**2 + s + 150 Let k(v) = 2*v**3 - 2*v**2 + 10*v. Let p(r) be the third derivative of r**6/30 - r**5/12 + 5*r**4/6 - 445*r**2. What is -5*k(o) + 2*p(o)? -2*o**3 - 10*o Suppose -x = 1, f - 11*x = -15*x - 2. Let v(r) = -r**3 - r + 1. Let s(l) = l - 1. Determine f*v(a) + 2*s(a). -2*a**3 Let x(f) = f + 2. Let u be 200/(-700)*-2*7/2. Let n(j) = 6*j + 11. Determine u*n(g) - 11*x(g). g Let a(s) be the third derivative of 18*s**2 - 5/6*s**3 + 0*s + 0*s**4 + 0 + 0*s**5 + 1/30*s**6. Let c(y) = 4*y**3 - 4. What is 4*a(k) - 5*c(k)? -4*k**3 Let l(d) = -d + 2. Let j(h) = -41*h + 6. Calculate j(o) - 2*l(o). -39*o + 2 Let r(j) = -3*j**3 + 3*j**2 - 17. Let o(d) be the second derivative of -d**5/20 + d**4/12 - 3*d**2 + 51*d. Calculate 11*o(z) - 4*r(z). z**3 - z**2 + 2 Let v(s) = 2*s**3 + 12*s**2 + 13*s - 2. Let r(d) = 2*d**3 + 10*d**2 + 14*d - 2. Determine 6*r(q) - 5*v(q). 2*q**3 + 19*q - 2 Let t(h) = h + 3. Let p(r) = -1. Suppose -c - y = 7, 4*c + 49 = 5*y + 66. Calculate c*t(w) - 5*p(w). -2*w - 1 Let z(t) = -t - 11. Let c(f) be the third derivative of -f**3 + 0*f - 1/24*f**4 + 0 + 16*f**2. Determine 5*c(h) - 3*z(h). -2*h + 3 Let q = -153 - -154. Let i(c) = c**2 + 1. Let z(s) = s**2 - 1. Let b(u) = -7*u**2 + 8. Let d(t) = -b(t) - 6*z(t). What is q*d(m) + 2*i(m)? 3*m**2 Let m(b) = 8*b**2 + 7*b. Suppose -3*i - 5*t + 95 = 0, t - 4 = -3. Let p(n) = -n - 30 + i - n**2. Give 3*m(s) + 21*p(s). 3*s**2 Suppose 0 = y - 12 - 16. Let m(u) = u + 28. Let z(g) = -1. Let n(p) = -8. Let h(k) = 6*n(k) - 52*z(k). Give y*h(i) - 4*m(i). -4*i Let v(i) = i**3 - i**2 + 5*i + 7. Let j(x) = -3*x + x - 3 + 0. Suppose -22 = -4*b + 2. Suppose 4*o - b - 2 = 0. Give o*v(k) + 5*j(k). 2*k**3 - 2*k**2 - 1 Let w(l) be the second derivative of l**3/3 - 5*l**2 + 44*l. Let z(v) = -1. What is w(t) - 4*z(t)? 2*t - 6 Let h(i) = i**3 + 19*i**2 - 41*i + 27. Let d be h(-21). Let n = -27 + 26. Let q(o) = -o**2 + 6*o - 5. Let y(l) = l - 1. Calculate d*y(j) + n*q(j). j**2 - 1 Let d(c) = -9*c - 9. Let q(i) = -i**3 + 19*i**2 + 7*i - 136. Let n be q(19). Let s(x) = -5*x - 5. Determine n*d(b) + 5*s(b). 2*b + 2 Let w(x) = x - 32. Let v(l) = l - 33. Calculate -5*v(n) + 6*w(n). n - 27 Let x(p) = 5*p**3 + 27*p - 6. Let q(i) = -i**3 + 1. What is 6*q(s) + x(s)? -s**3 + 27*s Let d(g) = -77*g + 14. Let q(x) = 153*x - 32. Determine -7*d(u) - 3*q(u). 80*u - 2 Let k = 30 + -27. Let s(q) = 2 - 7*q**3 - 2*q - q**3 + 4*q**3 + 6*q**k. Let x(c) = c - 1. Calculate s(p) + 2*x(p). 2*p**3 Let o(n) = -2*n + 2. Let p(z) = 2. Let h(b) = -2*b - 34. Let u(l) = 2*h(l) + 36*p(l). Suppose 18*i - 665 = -77*i. Give i*o(c) - 3*u(c). -2*c + 2 Let k(h) = 11*h + 7. Let b(j) = -5*j - 3. Let p(g) = -13*g + 53. Let o be p(3). What is o*b(a) + 6*k(a)? -4*a Let v(r) = -9*r**2 + 12*r - 15. Let m(x) = x**2 - 2*x - 1. Give 6*m(i) + v(i). -3*i**2 - 21 Let l(d) = 21*d**2 + 13. Let n = 403 - 409. Let f(w) = w**2 + w + 1. Let v(j) = -j**2 + 4*j + 1. Let k(m) = 4*f(m) - v(m). What is n*l(q) + 26*k(q)? 4*q**2 Let q(w) = -226*w**2 + w. Let f(x) = 2253*x**2 - 9*x. Determine 2*f(g) + 21*q(g). -240*g**2 + 3*g Let p(o) = 11*o - 2. Let g(l) = -3*l + 43. Let t be g(14). Let s(d) = 0 - 662*d + 667*d - t. Calculate -4*p(b) + 9*s(b). b - 1 Let k(c) = c**3 + 2*c**2 + 1. Let l(i) = -i**3 - 3*i**2. Give 4*k(o) + 3*l(o). o**3 - o**2 + 4 Let v(o) be the second derivative of -5*o**4/6 - 8*o**3/3 - 7*o**2/2 - o. Let h be (-18)/(-3) + 9 + -17. Let y(g) = 3*g**2 + 5*g + 2. Determine h*v(r) - 7*y(r). -r**2 - 3*r Let a(g) = 3*g - g - g - 2*g. Let b be -13 + -3 + 1 + 3. Let r = -6 - b. Let t(x) = -5*x + 1. Give r*a(q) - t(q). -q - 1 Let a(q) = q**3 + q - 1. Let z(r) = -12*r**3 + 17*r**2 + 2*r - 2. Determine 2*a(v) - z(v). 14*v**3 - 17*v**2 Let t = 3 + -5. Let i(p) = -p**2 + 2*p - 2. Let q(s) be the first derivative of -2*s**3/3 + 5*s**2/2 - 5*s + 54. Give t*q(f) + 5*i(f). -f**2 Let m(p) = -3*p - 4*p - p - 1 + 2. Let x(f) = 8*f - 1. Give -5*m(u) - 4*x(u). 8*u - 1 Let h(c) = c**2 + 65*c + 7. Let r(m) = -m**2 - 33*m - 4. Give -4*h(w) - 7*r(w). 3*w**2 - 29*w Let g(b) = 5*b**2 + 340*b + 4. Let d(k) = 14*k**2 + 1024*k + 11. Determine 4*d(m) - 11*g(m). m**2 + 356*m Let o(a) = 9*a**2 + 2*a + 10. Let c(y) = -y**2 - 1. What is 22*c(m) + 2*o(m)? -4*m**2 + 4*m - 2 Let v be -4*(7/28 - (-6)/24). Let y(c) = -c**2 + 5*c. Let t(q) = -4*q - 6. Let h(f) = f + 1. Let l(n) = 6*h(n) + t(n). Determine v*y(k) + 5*l(k). 2*k**2 Let m(y) = -y**2 + y - 1. Let o(w) = 13*w**3 + 11*w**2 + 5*w + 11. Let l(v) = 2*m(v) + o(v). Let x(r) = -7*r**3 - 4*r**2 - 3*r - 4. Determine -4*l(f) - 9*x(f). 11*f**3 - f Let z(i) = 73*i**2 - 3*i + 11. Let x(h) = -25*h**2 + h - 4. Determine 17*x(d) + 6*z(d). 13*d**2 - d - 2 Let k(q) = -4 + 25*q**2 + 28*q**2 - 6*q**3 - 49*q**2. Let c(l) be the first derivative of 3*l**4/2 - l**3 + 3*l + 1. Give -4*c(x) - 3*k(x). -6*x**3 Let y(z) = -2*z**3 + z**2 + z - 2. Let t(w) = -26*w**3 - 4*w**2 - w + 8. Give -t(r) - 4*y(r). 34*r**3 - 3*r Let y(a) = -369*a**2 + 3*a - 3. Let k(l) = l - 1. Calculate -3*k(i) + y(i). -369*i**2 Let m(r) = -2*r**3 - 3*r**2 - 1. Let k = 3 - -1. Let u(x) = 1 - 2*x**3 + 2*x**3 + 2*x**2 + 2*x**3. Let d = 2497 + -2494. Determine d*m(y) + k*u(y). 2*y**3 - y**2 + 1 Let x(j) = 4*j**2 + 10*j - 3. Suppose -30 + 2 = -4*y. Suppose -19 + 7 = -3*g. Let f(s) = -g*s + s**2 - s + 2*s - 2*s**2 + 1. Calculate y*f(c) + 2*x(c). c**2 - c + 1 Let d(h) = 8*h**2 - 2*h + 48. Let i(y) = -y**2 - 6. Give d(u) + 12*i(u). -4*u**2 - 2*u - 24 Let z(o) = -o**2 - 1. Suppose -26 + 123 = 97*q. Let g(u) = -9*u**2 - u + 5. Give q*g(v) + 5*z(v). -14*v**2 - v Let v(u) = u**2 + 6*u + 2. Let k(a) = 2*a**2 + 11*a + 4. Let d = -508 + 504. What is d*k(j) + 7*v(j)? -j**2 - 2*j - 2 Let n(z) = 7*z + 269. Let f(x) = 9*x + 270. Give 4*f(b) - 5*n(b). b - 265 Let p(t) = -3*t**3 - 3*t**2 + 8*t. Let o(l) = 5*l**3 + 5*l**2 - 12*l. Calculate 5*o(s) + 8*p(s). s**3 + s**2 + 4*s Let u(y) = y**3 - 4*y**2 + y - 1. Let d(m) = m**3 - 7*m**2 + m - 2. Calculate 3*d(n) - 5*u(n). -2*n**3 - n**2 - 2*n - 1 Let s(o) = 28*o**3 + 43*o - 8. Let c(f) = -10*f**3 - 14*f + 3. What is -8*c(k) - 3*s(k)? -4*k**3 - 17*k Let j(r) = -5*r**2 + 4*r. Let z(g) = g - 2*g + 0*g**2 + g**2. Suppose 0 = 3*w - 15, 0 = 2*k + 5*w - 6 - 3. Let c = -11 - k. Determine c*z(x) - j(x). 2*x**2 - x Let r(k) = -37*k**3 + 7*k. Let d(m) = m. Calculate -5*d(q) + r(q). -37*q**3 + 2*q Let n(i) = 1. Let y(p) = 16*p + 16. Let t(d) = 2*d + 4. Let w(s) = -3*t(s) + y(s). Determine -2*n(k) + w(k). 10*k + 2 Let o(d) = d**2. Let c(h) be the first derivative of -3*h**3 - h**2 - 197. Determine c(b) + 4*o(b). -5*b**2 - 2*b Let d(t) = -7*t + 15. Suppose 2*i + i = 18. Suppose 0 = 3*x + 10 - 13. Let k(s) = -x - 1 + 2*s - 2. Give i*d(n) + 22*k(n). 2*n + 2 Let m(c) = -5*c + 5. Let h(w) = 1. Let v be 42/(-7) + -6 - -6. Give v*h(k) + m(k). -5*k - 1 Let u(k) = 5 + 1 - 2 - k**3 + k**2 - 2*k - 3. Let g be u(1). Let o(c) = 4*c + 7. Let x(m) = -m - 1. Give g*o(b) - 6*x(b). 2*b - 1 Let s(c) = -2*c**3 + 3*c**2 - 3*c. Let x(w) = -w**2 - 2*w + 7. Let r be x(-3). Let a(m) = -m**3 + 3*m**2 - 3*m. What is r*a(q) - 3*s(q)? 2*q**3 + 3*q**2 - 3*q Suppose 85 - 37 = 8*p. Let k(s) = 9*s**3 + 5*s**2 - s - 5. Let r(d) = 9*d**3 + 6*d**2 - d - 6. Give p*k(l) - 5*r(l). 9*l**3 - l Let s(m) = -m + 1. Let u(t) be the second derivative of t**3/6 - t**2/2 + 32*t. Give -5*s(f) - 6*u(f). -f + 1 Let w(u) = 4*u**3 + 5*u**2 - 13*u + 124. Let f(g) = g**3 + g**2 - 2*g + 1. What is -6*f(s) + w(s)? -2*s**3 - s**2 - s + 118 Let h(s) = -1776*s**3 - 224*s**2 - 112*s + 336. Let q(m) = -48*m**3 - 6*m**2 - 3*m + 9. Determine -6*h(i) + 224*q(i). -96*i**3 Let l(m) = 6*m + 7. Let y(w) = -5*w - 6. Suppose o - 43 = -65. Let i = o + 17. Calculate i*y(g) - 4*l(g). g + 2 Let l(y) be the second derivative of y**2/2 + 100*y - 2. Let m(r) = -2*r + 7. Calculate -5*l(g) + m(g). -2*g + 2 Let p(a) be the third derivative of 0 - 7/6*a**3 + 0*a - 27*a**2 + 5/12*a**4. Let h(u) = -29*u + 20. Calculate -6*h(g) - 17*p(g). 4*g - 1 Let n(o) = 2*o**2 - 3. Suppose -4*m + 20 = -2*m. Let y = -5 + m. Let t(l) = -7 + 4*l**2 - 25*l - 16*l + 40*l. Calculate y*n(i) - 2*t(i). 2*i**2 + 2*i - 1 Let r(q) = 2*q + 12 - 8 + 2*q + 0. Let i(m) = 4*m - 11 - 6*m - 4*m - 5*m. Calculate -3*i(l) - 8*r(l). l + 1 Let r(c) = -7*c**3 - 11*c**2 - 3*c - 6. Let
{ "pile_set_name": "DM Mathematics" }
Find the third derivative of -74*m**5 + 878*m**4 - 9*m**3 - 10234*m**2 - 4210*m wrt m. -4440*m**2 + 21072*m - 54 Find the third derivative of h**4 - 60351089*h**3 + 169*h**2 + 43201*h wrt h. 24*h - 362106534 What is the third derivative of 43512914*v**3 - 71744347*v**2? 261077484 What is the second derivative of -346062169*u**5 - 1818*u - 32522? -6921243380*u**3 Find the third derivative of 2877778*f**5 - 46941*f**2 + 284*f wrt f. 172666680*f**2 What is the derivative of 81*d**2*m**2 - 1621*d**2 - d*j - 9*j*m**2 + 2*j*m - 27*j + 2*m - 43 wrt d? 162*d*m**2 - 3242*d - j Find the third derivative of -2604*l**5 + 994*l**3 + 17286731*l**2. -156240*l**2 + 5964 What is the third derivative of 230449307*x**3 - 167203352*x**2 - 2*x? 1382695842 What is the second derivative of 2*k*q**4 - 379042*k*q**2 + 4*k*q - q - 276609 wrt q? 24*k*q**2 - 758084*k What is the second derivative of 43448716*p**2*w**2 + 253121*p**2 + 41*p*w wrt w? 86897432*p**2 What is the second derivative of 347*k**2*r*s**3 - 3387*k**2*r*s + 2*k*r*s**2 - 1619289*k*s**3 - r*s**3 wrt k? 694*r*s**3 - 6774*r*s Find the second derivative of -448713321*p**2*q**3 + 2*p*q**3 + 16328*p*q**2 - 8*p*q + 2*q**3 - 11 wrt p. -897426642*q**3 What is the second derivative of -2151*v**4 + 256*v**2 + 2928947*v wrt v? -25812*v**2 + 512 What is the third derivative of 5464620*j**3 - j**2 - 165*j - 2095? 32787720 Find the third derivative of -7649824*g**4 - 2*g**2 + 2185581*g - 2. -183595776*g Find the first derivative of -o**3*z + 3532791*o**3 - o**2*z - 14891*o*z + 39*z wrt z. -o**3 - o**2 - 14891*o + 39 Differentiate -389725138*t - 37290694. -389725138 What is the first derivative of 36931*d**3 - 2*d**2 + 414*d + 11604307? 110793*d**2 - 4*d + 414 What is the third derivative of -19035*d**3*z**2 + 2808*d**3*z - 6*d**2*z**2 - 2*d**2*z + 4460*d*z**2 + 26*d*z - d - 80*z**2 wrt d? -114210*z**2 + 16848*z Find the second derivative of -7228850*a**2*l**3*v - 776735*a*l**3 - 4*l**2*v wrt a. -14457700*l**3*v Find the first derivative of 48597021*b - 19550490. 48597021 Find the second derivative of 3410587*g*w**3 - 2*g*w**2 + 3*g*w - 4*g + 2*w**2 + 14764 wrt w. 20463522*g*w - 4*g + 4 Find the second derivative of 22*c**2*y**2 - 92866*c**2*y - 9225166*c*y**2 + c*y + 655*c - 2*y wrt y. 44*c**2 - 18450332*c Find the second derivative of 1035771080*x**2 - 553067772*x wrt x. 2071542160 Find the second derivative of 4085187*c**3*m + 5*c**2*m - 4*c**2 + 7296*c - 12230*m wrt c. 24511122*c*m + 10*m - 8 What is the third derivative of 59123561*v**5 + 290214776*v**2? 3547413660*v**2 Differentiate 6*u*y**2 - 112114*u*y + 202853130*u + 2*y**2 + 43*y with respect to y. 12*u*y - 112114*u + 4*y + 43 Find the second derivative of -39853738*c**4 + 8*c - 431947. -478244856*c**2 Differentiate -38368460*d + 15329504 with respect to d. -38368460 Find the third derivative of -12921775*f*u**3 + f*u**2 - 5*f*u + 2*u**2 - 10*u - 1547 wrt u. -77530650*f What is the derivative of 319442503*o**2 - 1030033024? 638885006*o What is the third derivative of -z**4 + 224323*z**3 + 476*z**2 - 7404*z wrt z? -24*z + 1345938 Differentiate 120683652*p**2 + 48687056 with respect to p. 241367304*p What is the first derivative of 5*b**2*d**2 - b*d**2 - 518361*b*d - 20428605*d**2 wrt b? 10*b*d**2 - d**2 - 518361*d What is the third derivative of -3805331*m**3 - 12842169*m**2 wrt m? -22831986 What is the derivative of -31*f**3 - 75*f**2 - 565*f + 21573903 wrt f? -93*f**2 - 150*f - 565 Find the first derivative of -17858*l**3 - l**2 + 901*l + 15545061. -53574*l**2 - 2*l + 901 What is the first derivative of -6*z**4 - 376*z**2 - 876*z - 289133066? -24*z**3 - 752*z - 876 Find the second derivative of 13980630*j**3 - 3619965*j. 83883780*j Find the second derivative of -8965*r**3*s**4 - 2*r**3*s + 468610*r**3 - r**2 + 29*s**4 wrt s. -107580*r**3*s**2 + 348*s**2 Find the first derivative of -377670690*z - 413622141 wrt z. -377670690 What is the third derivative of -2607628*b**6*f + 2*b**3*f**3 - 45757*b**2*f - 71*b*f**3 + f wrt b? -312915360*b**3*f + 12*f**3 What is the third derivative of 61324*n**3*w + 255*n**3 + 5037*n**2*w - n*w + w + 1990 wrt n? 367944*w + 1530 Find the second derivative of 44*d**3*l**2 - 11608*d**3 - 300*d*l + d - 6*l**2 + 5*l - 3 wrt d. 264*d*l**2 - 69648*d What is the third derivative of -365388*t**4 - 8*t**3 - t**2 + 584*t + 137? -8769312*t - 48 What is the third derivative of 58701716*m**3 - 598722*m**2 + 152*m? 352210296 Find the third derivative of -2*t**4 - 316741243*t**3 + t**2 - 34461154*t - 3 wrt t. -48*t - 1900447458 What is the second derivative of 15444541*j**3 - 153867798*j? 92667246*j Find the third derivative of -769861*r**5 - 18*r**4 + 5*r**3 - 29*r**2 + 6296*r - 69 wrt r. -46191660*r**2 - 432*r + 30 What is the second derivative of 9277778*i**5 - 30*i + 8431 wrt i? 185555560*i**3 Find the second derivative of 211723854*h**3 + 77877*h + 1489 wrt h. 1270343124*h What is the second derivative of -1568158*p**2*t**2*v - 3*p**2*t*v - 2*p**2*t + 15*p**2*v**3 + 2*p*t**3*v**3 + 799*t*v**3 - t*v**2 + 2*t wrt t? -3136316*p**2*v + 12*p*t*v**3 What is the first derivative of 5045*b*o**2 - 105*b*o + 647*b + 7*o**2 + 286961 wrt o? 10090*b*o - 105*b + 14*o Differentiate 1806*x**2 + 929*x + 22334184 wrt x. 3612*x + 929 Find the third derivative of -275*m**5 + 14*m**4 - 1497*m**3 - 2*m**2 - 178371839 wrt m. -16500*m**2 + 336*m - 8982 What is the second derivative of 865024*v**5 + 173*v**4 - 3161223*v wrt v? 17300480*v**3 + 2076*v**2 What is the derivative of 785*d**4 + 10963*d**2*j - 13*j + 1048881 wrt d? 3140*d**3 + 21926*d*j Find the third derivative of -5*v**5 + v**4 + 388540*v**3 + 274625*v**2 - 156*v. -300*v**2 + 24*v + 2331240 Find the second derivative of -11*j**3*y**2 - 72*j**3*y - j**3 + 172458*j*y**2 + 2*j*y + 6*y**2 - 3*y + 2954 wrt y. -22*j**3 + 344916*j + 12 What is the second derivative of -5411649*v**3 - 6*v**2 - 555222653*v? -32469894*v - 12 Differentiate 772319*c**2 + 89*c + 57212284. 1544638*c + 89 Find the third derivative of -38*h**6 - 36*h**5 - 390*h**3 - 365403*h**2 - 22*h. -4560*h**3 - 2160*h**2 - 2340 What is the derivative of -144728404*c*n - 798*n + 60363 wrt c? -144728404*n What is the derivative of -6289*x**3 - 117*x**2 - 2*x - 4876663? -18867*x**2 - 234*x - 2 Find the first derivative of 133104991*y - 36359693. 133104991 What is the first derivative of -80247292*j**2 - 16334407? -160494584*j Differentiate 3703447*s*w - 5345704*w - 2 with respect to s. 3703447*w Find the third derivative of -3119698*j*w**5 - 2*j*w - 149*j + 14*w**6 - 545*w**2 wrt w. -187181880*j*w**2 + 1680*w**3 What is the third derivative of -1877730*u**4 - 9*u**3 + 3*u**2 - 1040*u - 10724? -45065520*u - 54 Find the first derivative of 306*g**3*q*x - 2*g**3*q - g**3 + 3*g**2*q + 89*g - 174*q*x**2 - x**2 - 18 wrt x. 306*g**3*q - 348*q*x - 2*x What is the second derivative of -35682103*c**2*h**3 - c**2*h**2 + 2*c**2*h + 2*c**2 + 5*h - 43219 wrt h? -214092618*c**2*h - 2*c**2 Differentiate 8057330*l*r**2 - 9455519*r**2 wrt l. 8057330*r**2 What is the second derivative of 1322*f*t**5 + 15921570*f*t - 2415*t**5 wrt t? 26440*f*t**3 - 48300*t**3 Find the third derivative of -119*w**4 + 42620*w**3 - 10416383*w**2. -2856*w + 255720 What is the third derivative of 1096155115*m**3 - 2637*m**2 - 15*m + 4868 wrt m? 6576930690 Find the second derivative of 839471*o**4*w**2 - 74*o*w - 2*w**2 + 747*w wrt o. 10073652*o**2*w**2 What is the second derivative of -21*m**4 + 3925410*m**2 + 53345006*m? -252*m**2 + 7850820 What is the second derivative of 6349*y**4 - 131*y**2 - 260*y + 241 wrt y? 76188*y**2 - 262 Differentiate 6*k**4 + 66*k**3 - 18*k**2 - 16*k + 3686928 with respect to k. 24*k**3 + 198*k**2 - 36*k - 16 What is the third derivative of 368234*m**4 - 162*m**3 + 5274*m**2 - 15*m + 196? 8837616*m - 972 Differentiate 4*n**2*p - n**2 - 91479*n*p - 150798*p + 5 with respect to n. 8*n*p - 2*n - 91479*p What is the third derivative of 6*n**5 - 268966*n**4 + 2*n**3 - 21255111*n**2 wrt n? 360*n**2 - 6455184*n + 12 Find the first derivative of -245638*i**2 + 8*i + 6233743. -491276*i + 8 Find the third derivative of 19342*m**5 - 3*m**4 - 118*m**3 - 103881965*m**2 - m. 1160520*m**2 - 72*m - 708 Find the second derivative of -51*d**3*m - 48313*d**3 - 2*d*m - d + 168
{ "pile_set_name": "DM Mathematics" }
and 204? 51 What is the greatest common divisor of 6408 and 32? 8 Calculate the highest common factor of 56 and 140. 28 Calculate the highest common divisor of 18 and 882. 18 What is the highest common factor of 943 and 1066? 41 What is the greatest common divisor of 150 and 60? 30 Calculate the greatest common divisor of 416 and 130. 26 What is the greatest common divisor of 104 and 364? 52 Calculate the highest common factor of 4 and 4604. 4 Calculate the highest common divisor of 6030 and 15. 15 Calculate the greatest common divisor of 150 and 1775. 25 Calculate the greatest common factor of 459 and 27. 27 What is the greatest common divisor of 7708 and 564? 188 What is the highest common divisor of 2090 and 19? 19 What is the highest common divisor of 875 and 1375? 125 What is the highest common factor of 103 and 2884? 103 What is the greatest common divisor of 108 and 99? 9 What is the greatest common factor of 106 and 2? 2 What is the greatest common divisor of 35 and 504? 7 What is the greatest common divisor of 2 and 243? 1 What is the highest common divisor of 1247 and 129? 43 What is the greatest common divisor of 952 and 448? 56 Calculate the greatest common divisor of 2813 and 29. 29 Calculate the greatest common factor of 5750 and 46. 46 Calculate the greatest common divisor of 288 and 24000. 96 Calculate the highest common divisor of 28 and 21. 7 What is the greatest common divisor of 144 and 168? 24 What is the highest common factor of 891 and 11? 11 Calculate the greatest common factor of 234 and 195. 39 Calculate the highest common factor of 128 and 10112. 128 What is the highest common factor of 18192 and 48? 48 Calculate the highest common divisor of 459 and 1683. 153 Calculate the highest common divisor of 348 and 12. 12 What is the greatest common divisor of 74 and 259? 37 What is the highest common factor of 465 and 2139? 93 What is the highest common factor of 55 and 473? 11 What is the highest common factor of 57 and 76? 19 What is the greatest common divisor of 144 and 117? 9 What is the greatest common divisor of 81 and 999? 27 Calculate the greatest common factor of 24 and 328. 8 Calculate the highest common divisor of 1661 and 352. 11 Calculate the highest common divisor of 70 and 1526. 14 Calculate the greatest common factor of 38 and 16. 2 What is the highest common divisor of 1120 and 112? 112 What is the highest common factor of 969 and 57? 57 What is the highest common factor of 8552 and 8? 8 Calculate the greatest common divisor of 84 and 156. 12 What is the highest common divisor of 279 and 36? 9 What is the greatest common factor of 14 and 1162? 14 What is the highest common factor of 2010 and 30? 30 What is the greatest common factor of 6928 and 16? 16 Calculate the highest common divisor of 234 and 7254. 234 Calculate the highest common factor of 407 and 37. 37 Calculate the highest common divisor of 36 and 3684. 12 Calculate the highest common divisor of 253 and 118151. 253 Calculate the greatest common factor of 940 and 752. 188 Calculate the highest common factor of 5 and 355. 5 Calculate the highest common divisor of 12 and 492. 12 Calculate the highest common divisor of 4237 and 19. 19 What is the highest common divisor of 1638 and 13377? 273 What is the highest common factor of 95 and 15? 5 Calculate the greatest common factor of 52 and 13. 13 What is the greatest common divisor of 196 and 84? 28 What is the greatest common factor of 427 and 357? 7 What is the highest common divisor of 10137 and 93? 93 Calculate the highest common factor of 76 and 247. 19 What is the greatest common factor of 1536 and 64? 64 Calculate the greatest common factor of 28 and 406. 14 What is the highest common factor of 7098 and 12? 6 Calculate the highest common factor of 58 and 319. 29 Calculate the highest common divisor of 378 and 273. 21 Calculate the greatest common divisor of 108 and 28. 4 Calculate the highest common factor of 315 and 36. 9 What is the highest common factor of 141 and 3? 3 Calculate the highest common factor of 9 and 8901. 9 What is the highest common factor of 26 and 5824? 26 Calculate the greatest common factor of 1037 and 122. 61 What is the highest common factor of 2323 and 707? 101 Calculate the highest common divisor of 38 and 950. 38 Calculate the highest common divisor of 72 and 14508. 36 What is the highest common factor of 17484 and 2604? 372 Calculate the greatest common divisor of 1775 and 100. 25 What is the greatest common divisor of 58 and 232? 58 Calculate the greatest common divisor of 100 and 20. 20 Calculate the highest common divisor of 30 and 390. 30 Calculate the greatest common divisor of 1068 and 3382. 178 Calculate the greatest common factor of 14899 and 47. 47 What is the greatest common divisor of 533 and 205? 41 Calculate the highest common factor of 183 and 854. 61 What is the highest common divisor of 802 and 32? 2 Calculate the highest common divisor of 856 and 448. 8 Calculate the greatest common factor of 273 and 231. 21 Calculate the greatest common divisor of 116 and 124. 4 What is the highest common divisor of 15 and 345? 15 What is the greatest common divisor of 40 and 960? 40 Calculate the greatest common factor of 9 and 1152. 9 What is the greatest common factor of 1680 and 30? 30 Calculate the highest common divisor of 16 and 40. 8 Calculate the greatest common factor of 636 and 9063. 159 What is the greatest common factor of 98 and 91? 7 What is the greatest common factor of 22146 and 6? 6 What is the highest common factor of 4 and 47? 1 What is the highest common factor of 11799 and 23? 23 What is the highest common factor of 1156 and 8? 4 Calculate the highest common divisor of 7049 and 133. 133 What is the greatest common divisor of 420 and 2835? 105 What is the highest common factor of 54 and 36? 18 Calculate the greatest common divisor of 144 and 648. 72 What is the highest common factor of 48 and 1296? 48 What is the greatest common divisor of 1102 and 2? 2 What is the highest common factor of 44 and 4510? 22 Calculate the highest common factor of 12280 and 10. 10 What is the greatest common divisor of 4257 and 99? 99 What is the highest common divisor of 225 and 885? 15 What is the highest common factor of 52248 and 168? 168 Calculate the highest common factor of 598 and 26. 26 Calculate the greatest common divisor of 2288 and 624. 208 What is the greatest common divisor of 22 and 1507? 11 Calculate the highest common factor of 399 and 513. 57 What is the highest common divisor of 2 and 2018? 2 Calculate the highest common divisor of 84 and 18970. 14 What is the greatest common factor of 2562 and 42? 42 What is the greatest common factor of 89 and 1? 1 What is the greatest common factor of 371 and 1431? 53 What is the greatest common divisor of 32 and 144? 16 What is the highest common divisor of 20 and 1724? 4 Calculate the highest common factor of 330 and 770. 110 What is the highest common factor of 2839 and 1503? 167 Calculate the greatest common divisor of 35022 and 39. 39 Calculate the highest common factor of 187 and 2924. 17 Calculate the greatest common factor of 722 and 8. 2 What is the greatest common divisor of 3507 and 167? 167 What is the highest common factor of 620 and 1612? 124 What is the greatest common divisor of 137 and 9179? 137 Calculate the greatest common factor of 290 and 83520. 290 What is the greatest common factor of 493 and 187? 17 What is the highest common divisor of 5677 and 56? 7 What is the highest common divisor of 70 and 266? 14 Calculate the highest common factor of 2332 and 77. 11 What is the highest common divisor of 22 and 1606? 22 What is the greatest common factor of 24 and 114? 6 What is the highest common factor of 57 and 114? 57 What is the highest common factor of 17766 and 189? 189 Calculate the highest common factor of 216 and 120. 24 What is the greatest common factor of 231 and 594? 33 What is the greatest common divisor of 7414 and 11? 11 Calculate the highest common factor of 64 and 80. 16 What is the greatest common factor of 35 and 45? 5 Calculate the highest common factor of 663 and 273. 39 What is the highest common factor of 13824 and 27? 27 Calculate the highest common factor of 116 and
{ "pile_set_name": "DM Mathematics" }
f 870601271. 311, 2799361 List the prime factors of 249660132. 2, 3, 20805011 List the prime factors of 138333170. 2, 5, 59, 234463 List the prime factors of 1703604591. 3, 13, 2017, 7219 List the prime factors of 33373846. 2, 11, 479, 3167 What are the prime factors of 343455262? 2, 31, 5539601 What are the prime factors of 518797481? 518797481 List the prime factors of 12420415. 5, 7, 354869 List the prime factors of 90889478. 2, 45444739 List the prime factors of 77863592. 2, 41, 277, 857 List the prime factors of 132941962. 2, 37, 71, 25303 What are the prime factors of 589181975? 5, 479, 49201 List the prime factors of 62392506. 2, 3, 11, 945341 What are the prime factors of 22576762? 2, 13, 868337 List the prime factors of 1551386968. 2, 193923371 What are the prime factors of 1280610642? 2, 3, 213435107 List the prime factors of 11119178. 2, 7, 83, 1367 List the prime factors of 82679313. 3, 17, 1621163 What are the prime factors of 2197172149? 2197172149 List the prime factors of 2156768519. 97, 4639, 4793 What are the prime factors of 428301659? 428301659 List the prime factors of 3156110337. 3, 1052036779 What are the prime factors of 222355612? 2, 79, 703657 What are the prime factors of 165827? 139, 1193 What are the prime factors of 480524222? 2, 240262111 What are the prime factors of 649163534? 2, 10429, 31123 List the prime factors of 2981445710. 2, 5, 89, 3349939 What are the prime factors of 180270450? 2, 3, 5, 400601 What are the prime factors of 183062248? 2, 22882781 What are the prime factors of 3672068607? 3, 136002541 List the prime factors of 45688871. 593, 77047 List the prime factors of 2364523406. 2, 7, 37, 463, 9859 What are the prime factors of 197446528? 2, 1542551 List the prime factors of 126214238. 2, 1097, 57527 What are the prime factors of 265558653? 3, 29506517 List the prime factors of 513096108. 2, 3, 7, 17, 359311 What are the prime factors of 287466944? 2, 4491671 What are the prime factors of 485521353? 3, 53946817 What are the prime factors of 890949809? 43, 20719763 List the prime factors of 251047160. 2, 5, 7, 13, 17, 4057 List the prime factors of 7527487377. 3, 83, 30230873 What are the prime factors of 90945553? 90945553 What are the prime factors of 137032016? 2, 11, 37, 1913 What are the prime factors of 1798034720? 2, 5, 31, 229, 1583 What are the prime factors of 227514601? 71, 907, 3533 What are the prime factors of 4198933614? 2, 3, 19, 1231, 29921 What are the prime factors of 649754046? 2, 3, 83, 434909 List the prime factors of 37597582. 2, 11, 1708981 List the prime factors of 2005399907. 7, 11689, 24509 List the prime factors of 20596789. 20596789 What are the prime factors of 1683235? 5, 43, 7829 What are the prime factors of 5803880349? 3, 113, 457, 37463 List the prime factors of 2144387378. 2, 7, 17, 9010031 List the prime factors of 869914682. 2, 7, 13, 29, 43, 3833 List the prime factors of 436500307. 436500307 What are the prime factors of 22989593? 11, 17, 122939 What are the prime factors of 2353127542? 2, 19, 61924409 List the prime factors of 370341791. 23, 700079 List the prime factors of 832392184. 2, 13, 47, 170293 List the prime factors of 415607637. 3, 139, 149, 6689 What are the prime factors of 3558195912? 2, 3, 47, 3154429 What are the prime factors of 51193026? 2, 3, 948019 What are the prime factors of 489326014? 2, 103, 1303, 1823 What are the prime factors of 9087974? 2, 7, 649141 What are the prime factors of 5522977258? 2, 23, 1753, 68491 List the prime factors of 273865995. 3, 5, 13, 29, 5381 List the prime factors of 159221245. 5, 41, 739, 1051 What are the prime factors of 29142119? 67, 434957 List the prime factors of 412386698. 2, 206193349 List the prime factors of 270337211. 270337211 What are the prime factors of 19908700? 2, 5, 7, 17, 239 What are the prime factors of 13398806? 2, 877, 7639 List the prime factors of 32966242. 2, 887, 18583 What are the prime factors of 185978351? 13, 17, 367, 2293 List the prime factors of 2189422864. 2, 31, 4414159 What are the prime factors of 1263645947? 491, 2573617 What are the prime factors of 2306900685? 3, 5, 153793379 List the prime factors of 368668387. 29, 12712703 List the prime factors of 2958937355. 5, 11, 19, 383, 7393 List the prime factors of 452702154. 2, 3, 75450359 List the prime factors of 1873512. 2, 3, 26021 What are the prime factors of 342251068? 2, 79, 1083073 List the prime factors of 3561734921. 1237, 1259, 2287 What are the prime factors of 126017180? 2, 5, 29, 217271 List the prime factors of 7538201515. 5, 13, 83, 1397257 List the prime factors of 13930481. 13930481 List the prime factors of 2947964325. 3, 5, 39306191 What are the prime factors of 63553344? 2, 3, 17, 19471 What are the prime factors of 344440352? 2, 1069, 10069 What are the prime factors of 1368511761? 3, 593, 769259 List the prime factors of 624172136. 2, 7, 17, 655643 What are the prime factors of 404811048? 2, 3, 727, 23201 List the prime factors of 149523198. 2, 3, 11, 19, 119237 List the prime factors of 1715365781. 1715365781 What are the prime factors of 505750532? 2, 7, 163, 110813 List the prime factors of 319776037. 7, 45682291 List the prime factors of 3306686930. 2, 5, 330668693 What are the prime factors of 3452458611? 3, 7, 67, 50077 List the prime factors of 52784576. 2, 13, 63443 List the prime factors of 63047664. 2, 3, 367, 1193 List the prime factors of 294165480. 2, 3, 5, 7, 47, 7451 List the prime factors of 325277863. 325277863 List the prime factors of 36665858. 2, 19, 137, 7043 List the prime factors of 163434365. 5, 37, 883429 What are the prime factors of 85862699? 13, 17, 388519 What are the prime factors of 2961901242? 2, 3, 373, 16339 List the prime factors of 1259309208. 2, 3, 19, 37, 101, 739 List the prime factors of 2073453667. 97, 21375811 What are the prime factors of 23501058? 2, 3, 7, 559549 List the prime factors of 29401327. 3359, 8753 What are the prime factors of 102546334? 2, 11, 83, 89, 631 List the prime factors of 2106579184. 2, 131661199 What are the prime factors of 209084764? 2, 7, 47, 22697 What are the prime factors of 81708549? 3, 13, 431, 4861 What are the prime factors of 90566704? 2, 41, 138059 List the prime factors of 1602771196. 2, 13, 3347, 9209 List the prime factors of 302961304. 2, 1439, 26317 What are the prime factors of 1296087329? 23, 67, 841069 List the prime factors of 804451457. 31, 3433, 7559 List the prime factors of 59859879. 3, 19953293 What are the prime factors of 182428035? 3, 5, 12161869 List the prime factors of 340042539. 3, 2969, 38177 What are the prime factors of 786884156? 2, 83, 103, 23011 What are the prime factors of 999111? 3, 37, 9001 List the prime factors of 68510611. 13, 1663, 3169 What are the prime factors of 43155665? 5, 7, 1233019 List the prime factors of 60369250. 2, 5, 23, 10499 What are the prime factors of 541649236? 2, 31, 4368139 What are the prime factors of 1558430971? 29, 53738999 List the prime factors of 866316752. 2, 7, 7734971 List the prime factors of 11012921. 661, 16661 List the prime factors of 4560038166. 2, 3, 2203, 344987 List the prime factors of 21527312. 2, 1345457 List the prime factors of 1449626414. 2, 17, 42636071 What are the prime factors of 608651834? 2, 7, 1597, 3889 What are the prime factors of 265286168? 2, 7, 4737253 List the prime factors of 5869197116. 2, 607, 2417297 List the prime factors of 171523898. 2, 7, 13, 942439 List the prime factors of 3743951797. 3743951797 What are the prime factors of 215271343? 7, 5231, 5879 List the prime factors of 1617384810. 2, 3, 5, 29, 41, 45343 List the prime factors of 84537576. 2, 3, 139, 8447 List the prime factors of 11830509. 3, 41, 10687 What are the prime factors of 1207523861? 1297, 931013 What are the prime factors of 342785210? 2, 5, 1667, 20563 What are the prime factors of 48656417? 48656417 List the prime factors of 114027754. 2, 5101, 11177 What are the prime factors of 408179361? 3, 136059787 What are the prime factors of 3101604469? 3101604469 List the prime factors of 5651732048. 2, 29, 79, 154183 What are the prime factors of 44376595? 5, 8875319 What are the prime factors of 468220112? 2, 29263757 What are the prime factors of 19
{ "pile_set_name": "DM Mathematics" }
ator of -97/364 and (-138)/115*((-237)/27 - -1). 1092 Let j = -12/3289 - -48338/628199. Let f = -1784/1719 - j. Find the common denominator of ((-3)/(-4))/(7/(-48)) and f. 63 Let w be (-1108)/192*1 - -6. Let h = -29/240 - w. Find the common denominator of h and -121/12. 60 Suppose 0 = x - 15*x + 504. Let t(d) = -d + 42. What is the lowest common multiple of t(x) and 60? 60 Let d(c) = -c**3 + 10*c**2 - 17*c - 4. Calculate the least common multiple of 26 and d(3). 104 Let y = -181030 - -48516103/268. What is the common denominator of 65/236 and y? 15812 Suppose -2*s + 151 = 159, -5*s - 95 = -5*c. Calculate the smallest common multiple of 13614 and c. 68070 Let x(t) = t**3 + 8*t**2 - 625*t + 16. Calculate the lowest common multiple of 672 and x(-29). 3360 Let x = 1946 - 11537/6. Find the common denominator of x and 88/645. 1290 Let l = -456 - -462. Calculate the lowest common multiple of -3*(l/(-9) + 2) - -23 and 3. 57 Let q = 26641 - 26633. Let g = 109 + -73. Calculate the smallest common multiple of q and g. 72 What is the least common multiple of 40 and 33/44 + (2385/20 - 0)? 120 Suppose 2*x + 3*q = -0*x - 7, 0 = -4*x + q + 7. Let b(n) = n**3 - 9*n**2 + 15*n + 3. Let i be b(10). Find the common denominator of 1/9 and i/(-102) - (-2)/x. 306 Let w = -4/19357 + 1122910/987207. Calculate the common denominator of 43/69 and w. 1173 Let y = 28/9251 - -1097845/999108. What is the common denominator of y and -89/108? 108 Suppose f - 3*f = -8. Let i = -169 + 222. Suppose -3*k + 2*h + i = 2*k, -5 = -5*h. Calculate the lowest common multiple of f and k. 44 Let u = 25141/28 - 898. Calculate the common denominator of 578/72 - (858 + -850) and u. 252 Calculate the lowest common multiple of 330 and 21*140/98*7. 2310 Find the common denominator of (-2121)/990*((-66)/140 + 14/35) and -65/4. 660 Let s(x) = 17*x + 515. Calculate the smallest common multiple of 31 and s(-13). 9114 Let b = -12294 + 12330. Calculate the least common multiple of 927 and b. 3708 What is the lowest common multiple of 5538 and (-19)/(513/(-6))*27? 5538 Suppose 0 = 2*r - 5*h + 5, 3*r - 1 = -3*h + 2. Suppose -3*a = -5*n - 16, a + r = -n - 8. Calculate the common denominator of 2 + 235/(-15) + a and -22/7. 21 Let n = 3149 - 3017. Calculate the lowest common multiple of n and 30. 660 Suppose f - 24 = -4*k - 0*f, -3*k + 18 = -5*f. Suppose 3*v - 5*t = 173, 5*v + k*t = 5*t + 335. Calculate the smallest common multiple of 30 and v. 330 Let s(c) = -28*c - 83. Let f(n) = -10*n - 28. Let p(r) = -8*f(r) + 3*s(r). What is the least common multiple of p(-15) and 5? 35 Calculate the common denominator of 41/254 and (((-473)/11)/(3 - 1))/8. 2032 Let r(b) = b**3 + 7*b**2 - 4*b + 14. Suppose 21*y + 2*v = 26*y - 39, -y - 2*v = -15. Calculate the lowest common multiple of r(-6) and y. 666 Suppose -9*k - 584 + 2312 = 0. Find the common denominator of (-3)/16*(-57)/9 and (0 - 4)*(-376)/k. 48 Suppose 3*d + 18575 = -z - 12392, -5*d + 2*z = 51597. Let n = -650210/63 - d. What is the common denominator of n and -32/63? 63 Let q = 1262253 + -353431273/280. Let y = -17/56 + q. Let z = 2149583/1205340 - 1/20089. Calculate the common denominator of y and z. 60 Let h = -8427 + 8691. Calculate the least common multiple of h and 330. 1320 Let c(b) = 1825*b - 7212. Calculate the smallest common multiple of c(4) and (-50)/(-8) - 6/24. 264 Let j = -28 + -56. Find the common denominator of -1 - ((-95)/(-760))/((-22)/(-520)) and j/10*45/12. 22 Suppose -6 = 3*w, 8*w - 2081 = -3*m + 12*w. Let r = 702 - m. What is the smallest common multiple of r and 260? 2860 Let t be (24/(-4))/(4 + -2) + 6. Find the common denominator of -2 + -55*5/80 and (-150)/(-1160)*(-34)/t. 464 Find the common denominator of 28125/4320*(-2)/20 and -43/256. 768 Suppose 219*y - 4175 = 2833. What is the lowest common multiple of y and 96? 96 Let u(s) = s**3 + s**2 + s. Let l(t) = -27*t - 155. Let c be l(-6). Suppose y + 60 = c*y. Calculate the lowest common multiple of u(2) and y. 70 Suppose 4*v - 18 = 2*v. Suppose -13*z - 450 = -38*z. Suppose -10*l = -9*l - z. What is the smallest common multiple of l and v? 18 Suppose 4*q + q = -1500. Suppose -7*j + 3*j + 4860 = 0. Find the common denominator of 0 - 2 - j/q and 27/22. 220 Suppose -3*n + 28 - 12 = 5*k, 2*n - 4*k + 4 = 0. Let t = 96 + 32. Suppose 22*j - t = 14*j. What is the smallest common multiple of n and j? 16 Let g = 131742733/12 - 10985673. Let p = g + 7107. Find the common denominator of p and 206/28 - 1 - -1. 84 Let h = -6683/3 + 427709/192. What is the common denominator of 3/2320 and h? 9280 Let r = -15776/5 + 3154. Suppose 0 = 5*c - 13 - 7. Calculate the common denominator of r and (-301)/(-12) + 1/c. 15 Let d be (8/(-524))/((-60)/808958705). Let h = d + -205842. Find the common denominator of -39/14 and h. 5502 Let d(t) = t**2 - 5*t - 20. Suppose 3 = -4*k - 441. Let g = k - -133. What is the lowest common multiple of g and d(9)? 176 Let l = -129 + 133. Let h = -100 - -141. Let a = -39 + h. Calculate the smallest common multiple of l and a. 4 Let s be (6/(-2))/(60/9 + -7). Let v(b) = -9*b. Let y(q) = -8*q + 1. Let h(l) = 4*v(l) - 5*y(l). Find the common denominator of h(s) and -36/19. 19 Let d = -8 - -7. Let o = 1 - d. Suppose 4*p - 5*k = -k + 92, -5*k = -25. Calculate the least common multiple of p and o. 28 Let b(v) = -4*v + 16. Let h be b(4). Suppose h = 3*l + 2*x - 5, 5*l + x = 20. Suppose -4*s - 1 + 45 = 0. Calculate the smallest common multiple of l and s. 55 Suppose 0 = 3*m - 3*x + 531, 4*x + 187 = -3*m + 2*m. Let w = -881/5 - m. What is the common denominator of w and 10/(1040/174) + 6/8? 130 Let n be -8 - (-2 - 2/(-4)*0). Let y be 6440/(-32) - n/(-8). What is the common denominator of -81/22 and -1*(-5)/420*y? 462 Suppose -i - 234 = -4*i. Let w = i + -63. Find the common denominator of 4 + 29*w/(-72) and 67/9. 72 Suppose -7 = -4*q - 3*q. What is the common denominator of 7/39 and -5 - -1 - (q + (-68)/42)? 273 Suppose 6495 = -314*d + 6818 + 12237. Calculate the least common multiple of d and 2350. 9400 Suppose -2*i = 425 - 1919. Let o = 104 - 863/8. What is the common denominator of o and ((-51)/18 - -3)/((-93)/i)? 248 Let k(a) = 2*a**3 + 11*a**2 - 35*a + 1. Calculate the least common multiple of 81 and k(4). 4455 Let m(b) = 4*b**2 - 20*b - 37. Let a be m(-2). Suppose -80 = 15*l - a*l. Calculate the lowest common multiple of 55 and l. 220 Let j(r) = 3*r**2 + 102*r - 93. What is the smallest common multiple of j(-35) and 8097? 32388 What is the common denominator of 76/279 and 0 + 1 - (-23322)/(-19964)? 3906 Let b(q) = 152*q**2 - 4103*q - 13. What is the lowest common multiple of 1764 and b(27)? 1764 Let d be (-2)/26 + (-1100952)/(-14328600). Let a = 6843041/2479950 + d. Find the common denominator of -21/10 and a. 270 Suppose a + 48 = 3*g - a, 3*g - 4*a - 48 = 0. Let q(d) = 5*d + 79. Let t(u) = 1. Let r(y) = q(y) - 4*t(y). What is the smallest common multiple of g and r(-11)? 80 Calculate the common denominator of 37/10 and (168447/(-5808) - -29)*276/21. 16940 Calculate the common denominator of ((-5 - (119 + -3)) + 2)*(-6)/(-1692) and 71/3. 282 Suppose 4*p = -24, 2*i + p - 11 - 27 = 0. What is the smallest common multiple of i and 4850? 53350 Find the common denominator of 2/(-5) + 381/190 and (27/15)/(384/(-1080)). 304 Let h = 30393 - 4224605/139. Let q = h - -13219/1668. What is the common denominator of -4*((-61)/54 - -1) and q? 108 Let k = 266 - -225. Suppose z + 3*v + k = 0, -222 - 1223 = 3*z - 5*v. What is the common denominator of 79/16 and -1 + z/10*2/(-8)? 16 Suppose 0 = 14*h + 518 - 2114. Calculate the lowest common multiple of 126 and h. 2394 Let f(q) = -4*q - 14. Suppose 2 = 2*l - 5*o, 5*l - 4 = -4*o + 1. Let p be -10 + 2 + l + -2. What is the least common multiple of f(p) and 20? 220 Let d(g) = 4*g**2 + 21*g + 22. Let k be d(-10). Let l = k - 132. What is the smallest common multiple of l and 40? 80 What is the common denominator of 69/266 and 572/60192 - (-6)/(-16)? 2394 Let q = 765 - 782. Suppose 3 = b + 4. What is the common denominator of (b - 68)*1/10 and q? 10 Let j = -551729 - -311175007/564. What is the common denominator of -53/94 and j? 564 Suppose -3*c - 2 = -326. Suppose 11*q + c = 14*q. What is the smallest common multiple of q and 12? 36 Let s be (6/(-1
{ "pile_set_name": "DM Mathematics" }
o letters picked without replacement from {h: 12, z: 1}. Give prob of picking 2 h. 11/13 Four letters picked without replacement from {y: 5, n: 13}. What is prob of picking 1 n and 3 y? 13/306 Two letters picked without replacement from xxusxxusxuxx. Give prob of picking 1 x and 1 s. 7/33 Two letters picked without replacement from ttqtqetttetteqttte. Give prob of picking 1 e and 1 t. 44/153 Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {o: 4, s: 3, z: 1}. 3/28 Three letters picked without replacement from {u: 3, r: 2, l: 2, g: 2, z: 6}. What is prob of picking 3 u? 1/455 Calculate prob of picking 1 e and 1 a when two letters picked without replacement from qtabbex. 1/21 Two letters picked without replacement from oivvoooomaova. What is prob of picking 1 i and 1 v? 1/26 Calculate prob of picking 1 c and 1 y when two letters picked without replacement from dkycudy. 2/21 Four letters picked without replacement from tlllllllltl. Give prob of picking 4 l. 21/55 Two letters picked without replacement from eeeeeeeeee. Give prob of picking 2 e. 1 Two letters picked without replacement from {j: 5, h: 6, l: 4, r: 1}. What is prob of picking 2 l? 1/20 Three letters picked without replacement from tqbgabl. Give prob of picking 1 l and 2 b. 1/35 Three letters picked without replacement from hvvhhhhhhhhh. What is prob of picking 2 h and 1 v? 9/22 Calculate prob of picking 3 t and 1 e when four letters picked without replacement from teteeeteeteeeeeteeee. 10/323 Four letters picked without replacement from {g: 2, l: 2, s: 4, n: 5, k: 4}. Give prob of picking 1 g and 3 s. 2/595 What is prob of picking 4 a when four letters picked without replacement from {a: 9, q: 1, j: 7, m: 2}? 21/646 Calculate prob of picking 2 v and 1 y when three letters picked without replacement from {q: 2, v: 2, y: 2, g: 4}. 1/60 Calculate prob of picking 2 r and 1 i when three letters picked without replacement from rrrrrrrrrririiirrrr. 140/323 What is prob of picking 1 q, 2 y, and 1 a when four letters picked without replacement from {a: 7, y: 2, q: 8, n: 3}? 56/4845 Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {e: 9, u: 7}. 21/40 What is prob of picking 2 x when two letters picked without replacement from xxxxxxxxxx? 1 What is prob of picking 3 l and 1 k when four letters picked without replacement from {l: 5, k: 4, p: 6}? 8/273 Calculate prob of picking 2 v when two letters picked without replacement from {r: 6, j: 3, m: 3, v: 6}. 5/51 Two letters picked without replacement from vwhwvwhwwwww. What is prob of picking 2 h? 1/66 What is prob of picking 3 i when three letters picked without replacement from {i: 3, u: 7}? 1/120 Two letters picked without replacement from {c: 1, n: 4, d: 3, b: 2, f: 1, i: 1}. Give prob of picking 1 i and 1 n. 2/33 Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {h: 2, e: 3}. 3/5 What is prob of picking 1 u and 1 s when two letters picked without replacement from {s: 1, u: 1, e: 9}? 1/55 What is prob of picking 1 l and 3 j when four letters picked without replacement from ljlljjlljjlllllllll? 35/969 Calculate prob of picking 1 v, 1 k, and 1 i when three letters picked without replacement from {c: 9, k: 1, z: 3, f: 1, i: 3, v: 2}. 2/323 What is prob of picking 1 y and 1 p when two letters picked without replacement from {n: 1, i: 1, p: 1, e: 2, y: 2, x: 1}? 1/14 What is prob of picking 1 z, 1 p, 1 u, and 1 j when four letters picked without replacement from {j: 1, u: 1, p: 2, z: 9}? 18/715 Two letters picked without replacement from {e: 4, g: 1, j: 5, f: 1, z: 6, q: 3}. What is prob of picking 1 z and 1 f? 3/95 What is prob of picking 1 j and 1 y when two letters picked without replacement from venyyjna? 1/14 What is prob of picking 2 f and 2 s when four letters picked without replacement from fssfsffsssfffsfssfs? 135/323 Three letters picked without replacement from iiiiiiiaqiiihaiiiiy. Give prob of picking 2 a and 1 q. 1/969 What is prob of picking 1 u, 1 a, and 1 y when three letters picked without replacement from lyyluauuly? 3/40 Four letters picked without replacement from {k: 4, i: 7}. Give prob of picking 2 k and 2 i. 21/55 Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {z: 1, f: 1, a: 1, h: 1, u: 1}. 1/10 What is prob of picking 3 f and 1 c when four letters picked without replacement from {n: 1, c: 3, f: 5, h: 1, x: 4}? 30/1001 What is prob of picking 1 l and 1 x when two letters picked without replacement from uuuuphnunnuxphl? 1/105 Three letters picked without replacement from thpitiss. What is prob of picking 2 t and 1 i? 1/28 Calculate prob of picking 1 p, 1 u, and 2 q when four letters picked without replacement from qziuiiqpdiiquuidii. 1/340 What is prob of picking 2 p and 1 r when three letters picked without replacement from pgpggggrpgppggpggg? 5/272 Three letters picked without replacement from kfcnf. What is prob of picking 1 n and 2 f? 1/10 Two letters picked without replacement from {l: 1, m: 3, y: 7, x: 1}. What is prob of picking 1 l and 1 y? 7/66 Two letters picked without replacement from gmgfcmzcfgmm. What is prob of picking 2 z? 0 What is prob of picking 1 w and 2 g when three letters picked without replacement from wwgwggg? 18/35 What is prob of picking 1 q and 1 m when two letters picked without replacement from {q: 1, h: 1, m: 4, b: 9}? 4/105 Calculate prob of picking 1 v, 1 w, and 2 p when four letters picked without replacement from ppwvppwwpvppvppwvpp. 220/969 What is prob of picking 1 c and 1 k when two letters picked without replacement from {e: 8, c: 3, k: 6, p: 2}? 2/19 Three letters picked without replacement from vvvvuvvuvvu. What is prob of picking 1 u and 2 v? 28/55 What is prob of picking 1 z and 1 p when two letters picked without replacement from pzppzppzzzpp? 35/66 Two letters picked without replacement from {h: 12, f: 7}. Give prob of picking 1 h and 1 f. 28/57 Two letters picked without replacement from ybbbbbbbsbob. What is prob of picking 1 s and 1 b? 3/22 Calculate prob of picking 3 l and 1 e when four letters picked without replacement from {m: 7, e: 1, l: 5}. 2/143 Two letters picked without replacement from {p: 1, q: 1, k: 6, g: 6, z: 1, h: 5}. What is prob of picking 1 k and 1 q? 3/95 Two letters picked without replacement from vhhhuvhhuhuhv. Give prob of picking 1 u and 1 v. 3/26 Four letters picked without replacement from {x: 5, n: 3, y: 4, r: 1}. Give prob of picking 3 n and 1 r. 1/715 Three letters picked without replacement from {z: 2, h: 2}. What is prob of picking 2 z and 1 h? 1/2 What is prob of picking 1 t, 1 w, and 1 n when three letters picked without replacement from frxntrnrwxrx? 1/110 Calculate prob of picking 2 y and 2 t when four letters picked without replacement from {n: 2, z: 1, t: 2, y: 4, e: 3}. 2/165 What is prob of picking 1 i and 2 b when three letters picked without replacement from bbbi? 3/4 Calculate prob of picking 2 j, 1 b, and 1 g when four letters picked without replacement from {h: 2, j: 2, b: 1, g: 1}. 1/15 What is prob of picking 1 u, 1 w, and 2 f when four letters picked without replacement from ugfzzffwufgk? 4/165 Calculate prob of picking 1 m and 2 s when three letters picked without replacement from {e: 1, s: 2, x: 1, m: 3, g: 4}. 1/55 Two letters picked without replacement from {p: 4, l: 1, t: 1, s: 1, a: 1}. Give prob of picking 1 p and 1 l. 1/7 Three letters picked without replacement from {p: 1, c: 1, i: 2}. What is prob of picking 1 p and 2 i? 1/4 What is prob of picking 1 y and 1 p when two letters picked without replacement from phclucplhylyly? 6/91 Calculate prob of picking 1 j, 1 v, and 1 e when three letters picked without replacement from {v: 2, c: 1, e: 2, j: 1, d: 5, n: 4}. 4/455 Four letters picked without replacement from yfffttttftftftttt. Give prob of picking 2 t and 2 f. 135/476 Calculate prob of picking 2 f and 1 y when three letters picked without replacement from syfusgif. 1/56 Four letters picked without replacement from inniqinnnnqnininii. What is prob of picking 2 n and 2 q? 1/85 Calculate prob of picking 1 o and 3 j when four letters picked without replacement from {t: 2, j
{ "pile_set_name": "DM Mathematics" }
- p*r = 3*r - 20. Is 15 a factor of d? True Let d = -5 - 1. Let f = 12 + d. Is 5 a factor of f? False Let v(m) = 19*m - 6. Let i be v(6). Suppose 4*a - 12 = i. Is 14 a factor of a? False Suppose 0 = 3*l + 4*h + 3 - 13, -3*l + 1 = -5*h. Suppose l*w = 17 + 13. Is w a multiple of 10? False Suppose 15 = i - 0*i. Suppose -2*w + 19 = -3*z - 0*z, i = -5*z. Suppose -3*m + 3*v = -66, -110 = -w*m + 7*v - 3*v. Does 11 divide m? True Let d(c) = 7 - 7*c + 3*c**2 + 12*c**2 - c - 2*c**2. Is d(3) a multiple of 28? False Let b(i) = -i**3 - 4*i**2 + 3*i + 1. Let n(r) = r**2 - r - 1. Let k(d) = -b(d) - 5*n(d). Let x be k(4). Suppose 5*f = x + 30. Does 13 divide f? False Suppose u = 4*d - 59 + 15, -32 = -4*d - 2*u. Is 285/d - (-2)/4 a multiple of 14? False Let h(f) = -f**2 - 5*f - 1. Let m be h(-7). Let n = 25 + m. Does 10 divide n? True Suppose -2*a - 5*j = -77, 0 = -3*j + 7 + 2. Does 3 divide a? False Let u(x) be the second derivative of 5*x**4/6 + x**3/3 - 2*x**2 - 9*x. Does 16 divide u(-3)? True Suppose -2*s = -v + 95, -16 = 4*s - 3*v + 169. Let c be (0 - -1) + (-10 - 1). Is c/15 - s/3 a multiple of 14? False Suppose -5*m + 33 = -v + 472, 2*m = -v + 453. Is v a multiple of 14? False Suppose -2*t + t + 7 = 0. Does 26 divide 704/14 - 2/t? False Let r(j) = j**3 - 6*j**2 + 6. Let g = 17 + -12. Suppose -k + g = -1. Is r(k) a multiple of 2? True Let q = -77 + 43. Let i = q - -49. Is i a multiple of 15? True Is ((-8)/12)/(2/(-36)) a multiple of 4? True Suppose -2*p - 4*d = 6, -4*p + 2*d - d = 21. Let y(f) be the second derivative of -f**3/6 + 5*f**2/2 + f. Is y(p) a multiple of 8? False Let c = 105 + -102. Is c a multiple of 2? False Let j(w) = w**2 + 14*w + 69. Is 5 a factor of j(-12)? True Let u be (-1 - 1) + 0 - -4. Suppose 2*b + 3*k + 2 = 15, -5*k + 3 = u*b. Is 14 a factor of b? True Does 17 divide ((-1521)/65)/(27/15 + -2)? False Let p be (0 - -1)*(0 - 0). Let f = p + 2. Suppose 139 = 5*r + 3*v, f*r - 4*v - 45 = -5. Does 13 divide r? True Let o(v) be the first derivative of v**4/4 - 3*v**3 + 13*v**2/2 - 12*v - 3. Suppose -3*x + 2*x = -8. Is 14 a factor of o(x)? True Let y = 42 + -75. Let m = -18 - y. Does 10 divide m? False Let m(a) = 2*a**2 - 7*a + 4. Let h be m(5). Let n = 33 - h. Is n a multiple of 4? False Let y(v) = 7*v + 2 + 0 + 5. Let o be y(8). Let q = o + -45. Is 18 a factor of q? True Let t be -2 + (1 - (1 - -6)). Let m = t - -12. Is m a multiple of 4? True Does 19 divide 136/(-12)*27/(-6)? False Let h = 7 + 8. Let r be 2/2 - 12/(-2). Let n = h - r. Is 8 a factor of n? True Suppose -3*o = -4*o + 30. Suppose -4*d = -3*r + 2 + o, -22 = -2*r + 3*d. Is 3 a factor of r? False Suppose -171 + 39 = -3*c - r, 176 = 4*c + 2*r. Is c a multiple of 10? False Let v(m) = 0*m - 7 - 11*m - 6*m + 4*m. Is v(-4) a multiple of 6? False Suppose 5*h - 125 = 295. Let o(b) = -b**3 - 58. Let y be o(0). Let w = y + h. Is w a multiple of 14? False Suppose 4*x - 2*b + 130 = 0, 0 = -0*x + 4*x + 3*b + 135. Let c = 72 + x. Does 13 divide c? True Let q(m) = -m + 4. Let i = 2 - 0. Is q(i) even? True Let l = 28 - -268. Does 37 divide l? True Let f(r) be the second derivative of 5*r**3/6 - 6*r**2 + 10*r. Is 11 a factor of f(8)? False Suppose 0 = 4*y - 22 - 2. Is 6 a factor of 6/4 + 135/y? True Suppose h = 4*g - 5, -g + h - 2*h = -5. Suppose -g*b + 2 = -b. Is 3 - (b + 3/(-1)) a multiple of 4? True Suppose -7*j + 2*j = -50. Suppose p + j = 3*p. Is 4 a factor of p? False Let f be (-26)/(-10) + 2/5. Is (f - 0) + (-1 - -28) a multiple of 9? False Let w(y) = -y**3 + 5*y**2 + 5*y + 5. Let b be w(6). Let h be 1/(198/201 + b). Let a = -36 - h. Is 12 a factor of a? False Let h(v) = v**3 + 7*v**2 - 8*v + 8. Let i be 3/(-2)*(-32)/(-6). Is h(i) a multiple of 2? True Is 14 a factor of (-2)/(-3) + (-248)/(-6)? True Let f = 466 + -302. Does 13 divide f? False Let x = -6 + 15. Let r be (6/4)/(x/12). Does 7 divide 27/2 + 1/r? True Let k(i) = -3*i**3 - i**2 - 3*i - 1. Let n = 13 + -15. Does 11 divide k(n)? False Let v(y) = -3*y**2 - 6*y + 3. Let r(w) = 2*w**2 + 5*w - 3. Suppose -3*g - 11 = -2. Let h(a) = g*v(a) - 4*r(a). Does 8 divide h(5)? False Let y(v) = -v**3 - 8*v**2 + 5*v - 12. Is 8 a factor of y(-9)? True Let r(y) = 8*y**2 + 2. Is 5 a factor of r(2)? False Let t(w) = 9*w + 3. Let c be t(-6). Let s = -53 - 20. Let z = c - s. Is 11 a factor of z? True Suppose 89 = -0*c + c + v, 0 = 3*v + 3. Does 9 divide c? True Is 30*7/(70/68) a multiple of 28? False Let m(j) = 185*j**2 - 1. Does 13 divide m(-1)? False Does 10 divide (-1524)/(-51) + 8/68? True Does 10 divide 10/(-5) + 1 + 101? True Let d be 6/15 - 26/(-10). Let r = d - 0. Suppose 4*j = -4*c + 40, -2*j + 2 - 7 = -r*c. Is c even? False Let w = 11 + -8. Suppose -w*b + 6*b - 258 = 0. Is 24 a factor of b? False Let x(u) = u**3 + 6*u**2 - 6*u + 6. Let z be x(-5). Let i = -43 + z. Is i a multiple of 9? True Let b be (675/6)/(-3)*-2. Let c(l) = -l - 6. Let h be c(-6). Suppose q - 6*q + b = h. Does 11 divide q? False Let h(g) = 8*g**2 - 13*g - 1. Is h(6) a multiple of 11? True Suppose 7*k = -112 + 420. Is 11 a factor of k? True Let s(x) = 3*x + 8. Let k(w) = w + 3. Let h(u) = -11*k(u) + 4*s(u). Is h(6) a multiple of 5? True Suppose -5*x = r - 1111 - 176, -x - 5*r + 243 = 0. Is x a multiple of 18? False Suppose i + 5 - 6 = 0. Let d = 2 + i. Suppose 0 = -d*a + 2 + 10. Does 4 divide a? True Suppose -5*l + 3*t = -4, -3*l - 6*t + 2*t = -14. Is 9 a factor of (2 - l - 18)*-1? True Suppose -17 + 1 = 4*c. Let n = 2 - c. Is n a multiple of 2? True Let m(j) = -j**3 - 2*j - 3. Let t be -9*(2 - 15/9). Does 23 divide m(t)? False Suppose -i - 3*j + 13 = 0, i + 3*j = -j + 16. Suppose i*x - 7 = -3. Let g = 1 + x. Does 2 divide g? True Suppose 0 = -3*s + 3*a + 51, -5*s + 67 = a - 0*a. Does 5 divide s? False Let b = 41 - 3. Is 15 a factor of b? False Let d(y) = y + 2*y - 5 + 0*y. Let o = 8 + -2. Does 13 divide d(o)? True Suppose 0 = 2*g + 39 + 1. Let i = 20 + -32. Let q = i - g. Is q a multiple of 4? True Let r(h) = 29*h**2 + 1 + 7*h**2 - 2*h**2. Is r(-1) a multiple of 9? False Suppose -4*l + 559 = 27. Is 19 a factor of l? True Let w = 113 + -79. Suppose -2*z + w = -5*r, 58 = 5*z + 2*r - r. Is z a multiple of 6? True Let i = 13 + -19. Let q be (-441)/i - 3/2. Is q/10 - (-8)/(-40) a multiple of 2? False Let c = 10 + -11. Let m = 11 - c. Does 4 divide m? True Suppose 0 + 39 = 3*p. Let o = p + 2. Is 10 a factor of o? False Is 5 a factor of (-3 - -3) + 3 - -12? True Let x(u) = 5*u. Let s be x(3). Suppose 2*m = 7*m - s. Suppose m*p = 2*p + 13. Is 5 a factor of p? False Let z(c) = 6*c**2 - 8*c + 9. Is 14 a factor of z(5)? False Let y(g) be the first derivative of g**4/4 - g**3/3 + 48*g + 3. Does 12 divide y(0)? True Suppose 5*c = 3*c + s + 128, -5*c + 320 = 2*s. Is c a multiple of 6? False Suppose -224 = 2*k - q + 2*q, 5*k + 5*q + 550 = 0. Let n = -58 - k. Is 15 a factor of n? False Let j(b) = b**2 + b + 13. Let z(c) = -c**2 - c - 12. Let w(h) = h**2 + 6*h + 5. Let d be w(-4). Let a(t) = d*z(t) - 2*j(t). Is a(0) a multiple of 4? False Suppose -2*k + 39 = 5*m, -m + 5*k + 2 = -22. Is 3 a factor of m? True Let h be (4/(-5))/(7/(-35)). Suppose -h*x = -3*y + y + 4, 3*x + 10 = 5*y. Is 2 a factor of y? True Let m(w) = w**2 - 2*w + 4. Let u be m(5). Suppose 3*p + 4 = u. Does 5 divide p? True Let z = 30 - 25. Suppose -6*v + 4*v = -z*i - 31, 0 = 4*v - 5*i - 67. Does 6 divide v? True Let i = 379 - 270. Does 32 divide i? False Suppose 4*t - 4*x = 116, -t - 2*x + 26 = 6. Suppose -4*w = w - 2*i - t, 5*i + 19 = w. Does 19 divide (-10)/15*(-114)/w? True Let v = -18 - -49. Suppose -2*a = -v - 9. Is a a multiple of 10? True Suppose 6*p = 3*p + 12. Suppose -3*d = p*j + j - 72, 0 = 4*j - 3*d - 63. Let w = j + 5. Is w a multiple of 15? False Let t be (-309)/(-12) + 12/(-16). Suppose -2*w + t = 3*w. Suppose -4*i + 0*q + 88 = -4*q, w*i = -5*q + 150. Does 13 divide i? True Suppose -41 = -5*v + 79. Does 6 divide v? True Does 37 divide (0 + 1)/((-2)/(-242))? False Suppose 3*s + c = -47, c + 4 + 29 = -2*s. Let m = s - -28. Is 7 a factor of m? True Let x = -248 - -348. Does 6 divide (x/(-3))/(-5)*3? False Suppose q - 3 = -2*y - 5, 4*q - 12 = 2*y. Suppose 3*u = q*p, -4*u = -4*p + 1 - 5. Let x = 15 + p. Does 5 divide x? False Let h = 34 - -26. Is h a multiple of 10? True Suppose -80 = -3*h - 2*h. Is 16 a fa
{ "pile_set_name": "DM Mathematics" }
*v + 11 = -2*j + 1, 0 = l*v + 8 for j. 3 Let p(f) = 12*f - 26*f + 7*f + 3*f - 3*f + 136. Let w be p(18). Solve r - 2*t + 2 = 0, -2*t + w = r + 4 for r. 2 Suppose -70*w = 108*w - 40*w. Solve -10*u = -7*u + 2*d + 5, w = -3*d + 15 for u. -5 Let h be 4*(1/2)/(25/100). Suppose -25*s + 27*s = h. Solve 0 = s*z - 5*b - 13, -1 - 10 = -3*z + 4*b for z. -3 Let w be ((-4)/1)/(2 + (-28)/21). Let z be (-3 - 2) + (-3)/(w/4). Let b be 50/(-15)*z/2. Solve -5*y = -j + b - 0, 0 = -y + 3*j - 15 for y. 0 Let w be 8 + -11 - (-63 + -1). Let c = w - 61. Solve -n = -c*i + 4*i + 16, -5*i - n - 20 = 0 for i. -4 Let x(i) = 280*i + 4221. Let t be x(-15). Solve -o - 18 = 5*v - t, 0 = 3*o - 9 for v. 0 Let s = -13416 + 13436. Solve 4*q - s = -0*q - 2*u, 0 = -6*q + 4*u + 30 for q. 5 Suppose 71*c + 414 - 914 = 565. Solve 0 = 3*a - 2*g - 2, -19*g = a - c*g - 10 for a. 2 Let l be 86 + -85 + (0/2 - (-4 + 1)). Solve -3*p = 2*c + 3*c - l, 4 = 2*c for p. -2 Let h = 43 + -38. Solve -2*g + a = -9, -h*g + 3*a + 26 = -0*g for g. 1 Let y = -5 + 7. Solve -5*i = -3*w - y - 5, 0 = 4*i + 5*w - 13 for i. 2 Suppose -v = 15*v + 64. Let c be (-3 - (v + 1)) + 5. Solve 3*a = -c*l + 2*a + 3, 8 = -2*l - 5*a for l. 1 Let d(q) = q - 48. Let v(z) = 2*z - 72. Let x(j) = -8*d(j) + 5*v(j). Let f be x(-10). Suppose s - 3 = f. Solve s*b + 16 = -4*t + 4*b, -b + 4 = -t for t. -4 Let s = -15985 - -15993. Solve 3*w = 22*v - 27*v + 10, w - 3*v = s for w. 5 Suppose 0 = 4*w - 3*p - 29, -3*p = w - 2*p - 2. Let b(s) = 3*s**2 - 63*s + 3. Let a be b(21). Solve -w*m + 2*f + 15 = 4*f, -5 = -4*m - a*f for m. 5 Suppose -5*m + 26 = 13*v - 17*v, -3*v + 5*m - 27 = 0. Solve v = -i + 3*z, 3*i - z - 8 = i for i. 5 Let n be (-16)/(-24) + (26/6 - 1). Suppose -3*t + 5*t = -n, 0 = -l - t + 2. Solve -l*b = -5*w + 20, 4*b + 18 = w - 2 for w. 0 Suppose 0 = 4*l - 50 + 58, 0 = 5*f - 2*l - 34. Let a be 5/(-2 + 14/6). Let g = a + -11. Solve -2*j = g*y - j - 5, -y - 5*j = -f for y. 1 Suppose 126 - 196 = -7*f. Solve -17*s + 14*s = m - 6, f = m + 5*s for m. 0 Suppose -2*m + 7*m = -5, -2*m + 34 = 4*y. Suppose 4*s + 87 = -9. Let t = s + 26. Solve -u - u - 4*b + 22 = 0, -u + t*b = y for u. 1 Let f = 4071 + -4052. Solve -3 = -i, 3*i - f = 25*s - 30*s for s. 2 Let d = -685 - -364. Let t = d - -323. Solve 5*s - 5*i + 25 = -2*i, t*s - 4*i = -24 for s. -2 Suppose 37*s - 114 = -3. Solve -s*c = -6, 5*i - 5 - 7 = -c for i. 2 Suppose 14*b - 54 = 5*b. Suppose b*j + 5 - 21 = -m, -5*m = -4*j + 22. Solve -2*o = 3*r + 13, r + r = j*o for o. -2 Suppose -2*l - 70 = n - 82, -n + 8 = l. Solve x - 27 = 5*t, 1 + 29 = -3*t - n*x for t. -6 Let t = 669 - 665. Solve 4*b - t = 0, 0*b + 2 = 4*d + 2*b for d. 0 Let j(h) = -h**3 + 12*h**2 + 5*h - 31. Let s be j(3). Solve 4*i = -2*a + 4, -2*i - 62*a = -s*a - 2 for i. 1 Suppose -120 - 170 = -10*a. Suppose -a*o + 286 = -16*o. Suppose -o*v + 40 = -14*v. Solve -k - 6 = -3*p, -2*k - 1 = v*p - 0*k for p. 1 Suppose 9*x = 872 + 478. Let g = -146 + x. Solve 0*q - g*d = q + 1, -5*q - 5 = 3*d for q. -1 Let x(p) = -18*p - 416. Let y be x(-24). Solve -5*a = 4*n + y, 10*n - 4 = 6*n for a. -4 Suppose -2*j + 4*t + 26 = 0, 1191*j + 5*t = 1188*j + 50. Solve 4*r + 5*c = 29, 0 = -5*r - 22*c + 20*c + j for r. 1 Let o = -16 + 18. Suppose 0*v + o = v. Let u be (-8 + 6 - 0) + (-10)/(-2). Solve -v*q - 6 = 0, -1 + u = -2*w + 2*q for w. -4 Let v = -16716 - -16721. Solve 18*y - f = 16*y, -v*y - 6 = -4*f for y. 2 Let z be (2 - 2)*(-4)/(-8). Let t(g) = 7 - 11*g - g**3 + 8*g**2 - 11*g + 22*g. Let x be t(8). Solve z*j + 15 = -3*j, -2*u + 3*j + x = 0 for u. -4 Let t(y) = -y**2 - 120. Let j be t(-14). Let g = 320 + j. Solve -g*n - 1 = -9*n - 3*r, 0 = -5*n - 2*r - 1 for n. -1 Suppose 0 = -23*l + 13*l - 2*u + 28, 5*l - 18 = -2*u. Let i = 4 - 2. Solve -12 = i*q - 6*q - j, 0 = -l*j for q. 3 Suppose 0 = -14*g + 5 + 51. Solve -o - 3*l + g = -5*l, 3*o + 3*l - 12 = 0 for o. 4 Let y = -4590 + 4599. Let f = -1 + 29. Suppose 0 = -y*a + 8 + f. Solve h - 4 = -2*h + 2*k, -k - a = -2*h for h. 4 Suppose -353 = 7*l - 374. Solve -l*a + 9 = -4*x - 6, 2*x + 25 = 5*a for a. 5 Let u = 1468 + -1468. Solve u*r - 20 = 5*r, r = 3*l - 13 for l. 3 Let c be (-3216)/268*2/(2*-2). Solve r = 3*z + 12, 4*r = 3*z - 5*z + c for z. -3 Let k = 24447 - 24442. Solve -2*m + k*r = -16, m + 0*r - 5*r = 18 for m. -2 Let x = -397 - 344. Let f = x + 748. Solve -f = -5*o + 2*k - 0*k, 0 = 4*k - 16 for o. 3 Suppose 44*m = -29*m + 31*m + 336. Solve 128*a - 133*a = 5*w, -5*a + m = 3*w for a. 4 Suppose 3*m + 5*t = 63, -14*m + 2*t = -9*m - 167. Solve -2 = b + m*f - 30*f, 0 = -2*b + 3*f + 11 for b. 1 Suppose -63*r - 2075 = -179*r - 683. Solve 0 = -4*j + 3*k + 12, -4*j - 8*k = -6*k - r for j. 3 Let y = -38 + 53. Suppose -15*w + 10*w = -y. Suppose 0 = x + 2*x - 2*p - 14, 4*x + w*p + 4 = 0. Solve 2*z + 4 = -4*d - 2, -x*z - 2*d = -2 for z. 5 Suppose -5*w + s + 206 = 27, -175 = -5*w + 5*s. Suppose f = 4*c - 9, 4*f + 2*c + 18 = w. Solve 0 = -f*p + 2*r + 3*r + 13, -4*r - 8 = -3*p for p. -4 Let y = 8132 - 8128. Solve 0 = -u - y*v + 11, -95*u = -96*u + 3*v - 10 for u. -1 Let b be 17 - 20/(-8)*-2. Suppose 7*y - 26 = -b. Solve t + 0*t = -4*a - 17, a - t - y = 0 for a. -3 Suppose 4*l - l = 36. Let j be (7/(-1) - -1)/((-9)/6). Let d be (-2)/j - 55/(-10). Solve -2*n = d*v - l, -40 = 5*n - 5*v - 0 for n. -4 Let j = 7 - 2. Suppose 37*i - 104 = 11*i. Let z be (-2)/8 - 902/(-88) - i. Solve j*m - 4*d = -28, -m + z*m + 4*d + 12 = 0 for m. -4 Suppose j + 16 = 5*j. Let u be (32/(-40))/(j/(-10)). Suppose -2*g - 3*f + 15 = 3, -g = -f - 16. Solve 4*o = g, 0 = -u*r - 2*o + o - 1 for r. -2 Let d(q) = 8*q - 112. Let l be d(15). Solve 3*p = -l*z + 12*z - 25, z - 10 = 2*p for p. -3 Let v be -5 - (-15)/(-5) - (-9 - (-5 - -9)). Solve 3*u + 2*j + v = 0, -16*u + 14*u = -2*j for u. -1 Let g be (-9)/(-9 - -6) - 159. Let n = g - -183. Let v = -2 + 2. Solve 2*s = 3*l + 5*s - n, v = 3*s - 12 for l. 5 Let t(z) = 13*z**2. Let v be t(1). Let u(h) = -7*h + 44 + 6*h - 28. Let p be u(v). Solve -3*j = -3*s - p, -j - 3*j + 6 = -3*s for s. 2 Let b be 5 - (0 - 8/(-4)). Let a = b + -3. Suppose a = m + 3*l - 1, 2*l - 7*l - 9 = -m. Solve -u + 5 = -3*c, 0 = -m*c + 3*u - 0*u for c. -3 Let m = 199 - 90. Let d = m + -99. Let a = d + -7. Solve -a*z - 5*q - 28 = 0, -3*z - q - 6 = 2 for z. -1 Let n = 104 - 100. Suppose 2*o + 14 = -n*w, -8*w = 2*o - 3*w + 19. Solve 5*a + o*y - 37 = 0, -5*a + 2*y = -0*a - 17 for a. 5 Suppose -2*q = 12, -10 = 4*k - 0*q + 3*q. Solve 3*c + k*b + 6 = 0, -c - 5*b - 2 = -3*b for c. -2 Suppose -9*a - 7*a + 4*q + 224 = 0, 2*a + 4*q = 46. Solve 6*s - 15 = -o + s, -5*s + a = -o for o. 0 Suppose 2 = 17*v - 32. Suppose -29*s + v = -28*s. Solve 0 = i + 4 - 3, -s*b + 2*i - 2 = 0 for b. -2 Suppose 3*x - 9 = 4*a, 2 = -10*x + 11*x - a. Let n be x - -3 - (30 - 30). Solve -2*m - 3 = 2*b - 7, 4 = n*b - 5*m for b. 2 Let l(o) = -o**2 - 2*o + 17. Let i be l(-5). Suppose -844 = -9*y - 790. Solve 2*k - k = -i*p - y, -5*p = 5 for k. -4 Suppose -b + 52 = 3*r, -4*r - 32*b + 91 = -35*b. Solve -3*z - 2*o - 16 = -r, 3*o = 0 for z. 1 Let x = -12 - -19. Let u = -5 - x. Let t(z) = -2*z - 24. Let i be t(u). Solve -4*a - 3*m - 21 = 0, i = -3*a + 2*m + 3*m + 6 for a. -3 Suppose 4*v - 12 = -2*s + 3*s, 3*s + 3*v - 9 = 0. Suppose j + m - 7 = s, -2*m + 13 = j + m. Solve -5*o + b + 13 = 0, 18 = j*o + b + 4 for o. 3 Let z be ((-360)/42 + 6)/(10/(-70)). Solve m + 9 = -v + 2, -4*v - z = 2*m for v. -2 Let i be ((-10)/(-18))/(-20*(-6)/1080). Solve -2*o + 24 = 4*z, -3*o - 2*o = -i*z for o. 4 Let n be (4 + -2 + -3)*-4. Suppose -2*w + 24 = 5*t, 4*t - n - 16 = -2*w. Solve 4*z = 2*c + w*c + 8, 4*z = 0 for c. -2 Suppose 11 = 41*f - 194. Solve 13 = -w + 4*o, 0 = -f*w - 4*o + 12 - 5 for w. -1 Let z be (18/4 + -7)*6/5. Let s be (z + 32 - 7) + 0. Let x be (-3)/(3/(-13)) - -2. Solve -4*l - 4*k = l - s, x = 5*k for l. 2 Suppose -6 = 11*f - 28. Let i be (1*3/(-9))/((-2)/30). Solve -4*h + 5*z + 7 = 0, -f*h + i*h = 2*z for h. -2 Let m(k) = -k**3 - 17*k**2 - 27*k + 50. Let h be (((-408)/32)/(-17))/(1/(-20)). Let b be m(h). Solve -b*s - 9 = 4*u - 2*u, -3*u + 3 = 2*s for u. 3 Suppose 115 + 290 = 81*u. Solve 2*h - 3*h - 2*c + u = 0, -4*h + 2*c + 20 = 0 for h. 5 Suppose 4*v = -5*a + 10, 0 = a - 5*v - 3 + 1. Suppose -4*d - 5*s - 19 = 0, 5*d + a*s + 32 = 4*s. Let g = -3 - d. Solve 2 - 5 = -3*q + g*
{ "pile_set_name": "DM Mathematics" }
s 74.226 minus 103? -28.774 Calculate -75 - -0.1. -74.9 Calculate -11 - 2.1932. -13.1932 Work out -7 + -238611. -238618 What is 57 plus 0.1198? 57.1198 Calculate -82896 + -18. -82914 Work out -291 - 8355. -8646 What is the distance between -22 and 0.17? 22.17 Work out -1354.589 + -0.4. -1354.989 -0.02 - 13.9 -13.92 Calculate 1 - 56317. -56316 Sum 0.55107 and -0.9. -0.34893 Subtract -0.15 from 4618. 4618.15 What is 2229 plus 2? 2231 What is -13 less than 0.20459? 13.20459 What is -223.5 take away -4707? 4483.5 Calculate -0.051 + 862. 861.949 Add together 0.2 and -0.011105. 0.188895 0.3+0.023 0.323 -1016 + -0.1 -1016.1 Calculate 2 + -524.36. -522.36 -4.408 + 0.19 -4.218 What is 0.1 + -1167.425? -1167.325 Subtract -313.5 from -3. 310.5 Total of -7019 and -3.1. -7022.1 -0.09842+-41 -41.09842 What is -0.1 + 3.15? 3.05 Work out 2.19 - -3. 5.19 What is 0.3 take away 318? -317.7 What is -1348 minus 0? -1348 Put together -145 and -0.092. -145.092 Add together 14445 and -0.9. 14444.1 What is -4 less than -3487? -3483 -286 - -4 -282 Calculate 22389 - -2.23. 22391.23 -0.48 + -77 -77.48 Subtract -212 from 13. 225 What is 0.36 - -51? 51.36 -1.6318 - 8 -9.6318 What is -64.48 + 4? -60.48 0.05079 - 44 -43.94921 Put together 2 and 8.6. 10.6 What is -0.5 plus -96? -96.5 Work out -0.5 + 90772. 90771.5 Calculate -8254.5 + 1. -8253.5 What is -790 + -0.53? -790.53 Calculate -15 + -655494. -655509 Work out 1793 + 13. 1806 What is 0.05 plus -0.1219? -0.0719 What is -2 take away -278122? 278120 -0.54+0.4 -0.14 What is 163 minus -0.247? 163.247 5.27+-40 -34.73 Work out 1.4044 - -0.03. 1.4344 What is 0.2 take away -109437? 109437.2 Sum -711 and 5426. 4715 Sum 17.5 and 0.013. 17.513 What is 5 - -0.0709? 5.0709 Add -0.0161 and 196. 195.9839 Subtract -332 from 24.5. 356.5 What is 1290662 less than -3? -1290665 What is 0.13 - 4169? -4168.87 What is -3 plus -388? -391 Work out 23750 - -0.2. 23750.2 Calculate -0.4 + -0.1364. -0.5364 11.73596 + -0.1 11.63596 Work out 4462 - -0.5. 4462.5 Add 8254 and 85. 8339 Add together -135 and -2044. -2179 Calculate -391 - 8. -399 Add -0.73 and -0.147. -0.877 Work out 6.8 + -0.4. 6.4 1 - 36.13 -35.13 What is -0.045 plus -57? -57.045 Calculate 0.7 - -1729. 1729.7 Subtract 28605 from -1.7. -28606.7 What is -37 less than -120? -83 Add -193560 and -1. -193561 Calculate -0.05 - -1800.7. 1800.65 1+336117 336118 What is 633639 less than -12? -633651 What is -65 less than 0.85348? 65.85348 Add together 21.3 and 0.026. 21.326 Calculate 0.2 + 434.167. 434.367 Add together -0.16 and 92. 91.84 Add 0.036 and -14. -13.964 Put together -1 and 1.106. 0.106 Total of 6.15762 and -4. 2.15762 Add together -42 and 1114. 1072 What is the difference between -0.021133 and -210? 209.978867 What is 69 + -10.581? 58.419 What is -189997 - 12? -190009 What is the distance between 159 and 0.5263? 158.4737 What is the difference between 0.145 and 0.085? 0.06 What is -5.9451 less than 3? 8.9451 What is 0.254 + -0.9404? -0.6864 -0.06 - -7871 7870.94 Add together 763.6 and 85. 848.6 Work out -19.315 - -0.4. -18.915 What is -7.842 less than 4? 11.842 Work out 0.0236 - 76. -75.9764 Total of -9.5 and 0.83. -8.67 What is -13150.1 minus 0.5? -13150.6 Calculate 2007 + -24. 1983 Total of -0.5 and 167. 166.5 Put together -1336337 and 5. -1336332 What is -1 minus 1.34? -2.34 Work out 11.7 + 0.2184. 11.9184 Sum -7 and 0.967. -6.033 Calculate 13.16 - -4. 17.16 Put together 3.5 and -18135. -18131.5 Sum -0.017 and 0.304. 0.287 0.3 - 56754 -56753.7 Work out -82148 - 0.12. -82148.12 What is -5599 take away -0.8? -5598.2 12 + 862.9 874.9 Add -5.243 and -2.21. -7.453 What is -0.206 - -4? 3.794 What is -219.4 minus 0.4? -219.8 Total of -134782 and 3. -134779 Subtract 3517 from 103. -3414 What is 7 minus -6.3? 13.3 Sum -0.3 and 0.58631. 0.28631 What is -0.3 + 0.34? 0.04 What is the difference between -431 and -4303? 3872 Work out -42386 + -2. -42388 Total of 0.00756 and 0. 0.00756 What is 0.13 - 8643? -8642.87 -2+-3566 -3568 Calculate 242 + 950.1. 1192.1 What is 2043 plus -15? 2028 Calculate -0.3 + -4.8. -5.1 What is 0 take away -3022.22? 3022.22 0.2 + 204 204.2 Add 593 and 24. 617 What is 1031 + 0? 1031 -0.1 + 14354 14353.9 20 + 924 944 What is 16854.2 less than -0.1? -16854.3 What is -57.526 + -5? -62.526 What is -4 + -368714? -368718 Work out -1.57 + 53. 51.43 Work out -3 - -40910. 40907 What is the difference between -13 and 380? 393 Sum 826 and -0.22. 825.78 Work out -1 - 17. -18 What is 0.0822746 - 2? -1.9177254 What is 5 - -0.452? 5.452 What is the distance between 9 and 6.4? 2.6 What is 283.5559 less than -0.5? -284.0559 What is -23.69 take away -19.7? -3.99 What is the distance between -0.013 and -0.8? 0.787 What is -18 plus -0.05? -18.05 What is 11 + -3.61? 7.39 5058 - -0.21 5058.21 0.2 - -0.122387 0.322387 What is 1.3231 + 1? 2.3231 Calculate -0.124 - 53. -53.124 Calculate -9 - 5005. -5014 0.1+-1738.4 -1738.3 What is 28 + 1141? 1169 What is the difference between -0.1 and -0.0864796? 0.0135204 132.957 - 0.27 132.687 What is 0.4 less than -0.6724? -1.0724 Sum -46 and -1.29. -47.29 Add -2 and -0.133. -2.133 -4.2+0.0547 -4.1453 -0.11 - -4060 4059.89 Calculate -64.8 + 2729. 2664.2 Put together -1604035 and -0.2. -1604035.2 -7 - -9.37505 2.37505 What is -97.4 take away -1? -96.4 Add together -1133 and -5. -1138 -0.4 - -3145 3144.6 What is -11 - 580? -591 What is 3.85 plus 0.5? 4.35 Subtract 0.3 from -1901. -1901.3 -1731+3 -1728 Subtract -0.3 from 3.113. 3.413 Work out 205496 + -7. 205489 Calculate -5 - 25698.8. -25703.8 What is the difference between 27 and 0.25643? 26.74357 Work out 125 + 29824. 29949 What is the distance between 256 and 899? 643 What is the distance between -155 and 3.526? 158.526 Subtract -0.3 from -438.9. -438.6 Sum -10350905 and 0.1. -10350904.9 What is 161 + -23788? -23627 Work out 56174 + -1.1. 56172.9 What is -0.018 minus 27542? -27542.018 What is the distance between -8.72345 and 5? 13.72345 Put together -5 and -103.7. -108.7 Put together 2 and 6.24. 8.24 Calculate -2745 - 0.1. -2745.1 0.009 - 1.4 -1.391 What is -1 take away -1216? 1215 What is 0.3 minus 929.563? -929.263 What is 147483 less than 4? -147479 Put together 0.122 and -239. -238.878 Work out 3 + 0.0171. 3.0171 Put together -22744 and -16. -22760 -77221+-5 -77226 Work out 0.68 + -1.2. -0.52 Work out -33 + 154. 121 Subtract -1025.68 from 3. 1028.68 Sum -15134047 and -0.2. -15134047.2 Subtract 2174 from -1. -2175 0.011 + 0.25 0.261 Calculate 3341 + 0.2. 3341.2 Calculate -1 - -70.3. 69.3 0.073 + -4.31 -4.237 Work out -502399 - 4. -502403 What is the distance between 857333 and -0.3? 857333.3 Work out 1.8 + -22.739. -20.939 Subtract 0.00566 from -0.4. -0.40566 40+-32981 -32941 Calculate -0.3 + -1557.19. -1557.49 What is the difference between -0.6 and 3.3? 3.9 Calculate 13632 - -0.7. 13632.7 What is the difference between -108 and -3.4? 104.6 Calculate 14 - -1.693. 15.693 Calculate 0.071046 + 57. 57.071046 Add 192980 and 0.4. 192980.4 -2.1387 + -16 -18.1387 33.37 - 0.2 33.17 Calculate -0.0634381 + 0.1. 0.0365619 Total of -75712 and -2. -75714 Work out 1.528496 + 0.4. 1.928496 What is -4740483 plus -5? -4740488 What is the distance between 0.5 and -0.2082? 0.7082 What is the difference between -227.77 and -18? 209.77 0.5233 + 3 3.5233 Put together -0.1 and 6.43. 6.33 2 - -8953 8955 What is 237.38 less than 0? -237.38 What is -6 - 865587? -865593 Total of 404209 and 0. 404209 Add together 32 and 72.4. 104.4 What is 0.1 plus -63.1? -63 What is 779 - -5? 784 Work out 0.04 - 36.59. -36.55 What is 6.34 less than 8? 1.66 -674 - 2971 -3645 Add together 0.5 and -1.346. -0.846 Calculate -69 + -1.59. -70.59 Add 295 and -0.5. 294.5 -0.6 + -182 -182.6 Work out 3 - 11. -8 5 - -51 56 123.04431 + 3 126.04431 What is -0.041 minus 27? -27.041 Add -129 and 71. -58 What is 151 minus -1.176? 152.176 Work out -93 - -0.12046. -92.87954 What is the distance between -2 and -0.9349? 1.0651 Add together -1.11 and 6. 4.89 What is -1198 plus -2777? -3975 -24.9+-0.3 -25.2 What is -353 less than 0.03643? 353.03643 What is -0.01 minus 0.0614? -0.0714 Total of -187 and -0.2. -187.2 Calculate 442 - 20.73. 421.27 Calculate 2 + -0.311. 1.689 4.5+7771 7775.5 Work out 1412.1 - -0.15. 1412.25 Total of -121 and -171. -292 What is -1 take a
{ "pile_set_name": "DM Mathematics" }
+ 5. Let q be 6/(-12) - o/2. Solve q - 29 = -5*n for n. 5 Let r(z) = 2*z + 2. Let s be 69/15 - 0 - (-8)/20. Let n be r(s). Solve n + 13 = -5*y for y. -5 Suppose -806 = -3*n - 28*n. Solve -13*y + 0 = -n for y. 2 Suppose z - 3*m - 11 = 0, -m = -2*z - z + 1. Suppose 25*i + 16 + 9 = 0. Let s be i*(z - 1) + 0. Solve 0 = d - s*d for d. 0 Let w = -117 + 125. Suppose -4 = -9*o + w*o. Solve o*u + 15 - 7 = 0 for u. -2 Let f be (-1 + -2)*(-38)/3. Let l be f/5 - (-12)/(-20). Let y(d) = -d - 1. Let g be y(-4). Solve 0 = g*j - l - 8 for j. 5 Let o = 18 + -13. Let x be o*((-48)/(-20))/6. Solve -x*w = -3*w for w. 0 Let k(u) = -4*u**3 - u**2 - u - 1. Let s be k(-1). Suppose -17 = s*g - 7*g - 5*d, -4*d = 4*g - 16. Solve 4*b = -11 + g for b. -2 Suppose -4*r = -p + 15, -3*p - 14 = -5*r - 45. Solve p*o - 30 = -16 for o. 2 Let l be (540/(-24) - -7)*-4. Solve -17*i - l = 6 for i. -4 Suppose 26*i - 10 = 21*i. Solve -5*b - i + 7 = 0 for b. 1 Let z = 5 + 0. Suppose -5*s + z*l = -5, 2*l = -0*l + 2. Let c = s - -1. Solve m + c*m = 8 for m. 2 Let r(z) = z**3 + z**2 + z + 1. Let h be r(-1). Let s = 2638 - 2635. Solve h = s*q - 4*q + 1 for q. 1 Let q(j) = 6*j**2 + 7*j + 10. Let a be q(-2). Solve -a = 3*p + p for p. -5 Suppose 9*j = -329 - 382. Let h = -79 - j. Solve -5*f + h = 5 for f. -1 Suppose -5*m + 18 = 3*v, 0 = 12*m - 7*m - 4*v - 11. Suppose 3*j - 18 = 3*q - 6, -m*j - 4 = q. Solve j*s + 1 = s for s. 1 Suppose -6*b - 1 + 19 = 0. Solve 2*v - v = b for v. 3 Let w be (1 - 5/(-5)*1)*1. Solve 5*a - 14 = -w*a for a. 2 Suppose 3*w - 54 = -15. Suppose 5*k + 3 = w. Suppose -a - 2 = k*r - 1, 0 = -a - 5*r - 7. Solve -a*z = -5*z + 4 for z. 2 Let j = -665 - -814. Solve -j*t = -154*t - 25 for t. -5 Let z be 3/3 - -3*(-1)/(-3). Suppose z*x - 2*k - 16 = 0, 8*x = 6*x - 5*k + 9. Solve 0 = 8*h - x*h for h. 0 Let k be 10/(-55) - 24/(-11). Solve 10 = -0*m - k*m for m. -5 Suppose 0 = 4*l - 302 + 206. Solve -7*x = 4 + l for x. -4 Suppose 2*x - 20 = 3*s, -s = 179*x - 175*x - 26. Let n = -4 + 7. Solve -x + n = 4*u for u. -1 Suppose -3*b + 11*b = -3*b. Suppose 0 = -2*p + 2 + 4. Solve -k + p = -b*k for k. 3 Suppose -5*c - 3*y + 153 = -82, 5*c - 5*y - 235 = 0. Let z = c + -47. Solve 0 = -2*s - z + 2 for s. 1 Let w(c) = c**2 + 3*c - 6. Let d be w(-5). Let t be (-2 + (-15)/(-6))*d. Suppose -t*o + 3*o = 0. Solve 3*u = -o*u for u. 0 Suppose -8*q - 27 - 45 = 0. Let x(w) = -6*w. Let l be x(-2). Let n = l + q. Solve -2 = -n*m + m for m. 1 Let r = -10 + 13. Suppose 3*n = -3*a + 57, 2*n = r*n + 4*a - 13. Solve 0 = -5*t - 6 + n for t. 3 Suppose -9 = 3*k + 24. Let u = k - -13. Suppose 0 = 5*j + 2*q - 7, 24 = -u*j + 6*j - 3*q. Solve 4*p + 4 = j*p for p. -4 Let x be ((-80)/12 - -4)/(2/(-69)). Let b = x + -89. Solve 2 = -b*k + 2*k for k. -2 Let z = 15 - 41. Let y = 32 + z. Solve 5*s = -26 + y for s. -4 Suppose 5*h = -2*i + 19, -17 = -3*i - 5*h + 4. Suppose 2*c - 4 = i. Solve 0 = -v + c*v - 4 for v. 2 Let u(g) = 10*g + 441. Let r be u(-43). Solve -4*k = r*k for k. 0 Let z(s) = 16*s**3 + 2*s**2 + s - 1. Let g be z(1). Let p = 32 + -28. Solve -6 = -p*k - g for k. -3 Suppose 25 = -2*r + 5*n, -110 = 3*r + r + 2*n. Let i be (r - -24)*(2 - 1)*-3. Solve -2*o - 7 = i for o. -5 Let a = 1215 - 1209. Solve -2*z - 2*z = a*z for z. 0 Let u(j) be the third derivative of -j**4/6 - j**3/6 - 3*j**2. Let w be u(-1). Suppose 7 = -w*q + 1, -3*z + 5*q = -25. Solve -z*i - 2 = -3*i for i. -1 Let v be ((-4)/(-7))/(-1 + (-9)/(-7)). Suppose 2*s + 0*s = 0. Solve s = -0*o + o - v for o. 2 Suppose 2 = 3*t + 4*x + 1, 2*t + x = 4. Let n be ((-6)/4)/(2/(-12)) + -8. Solve t*o - n = 4*o for o. -1 Suppose -33 = g - 11. Let p = 44 + g. Let l = -16 + p. Solve 9 = -3*o - l for o. -5 Let n = -22 - -41. Let r = 1 - n. Let f be r/(-3)*(-2)/(-3). Solve -m = -0 + f for m. -4 Suppose -2*h + 6 = -4. Let j(q) = 3*q**3 + 20*q**2 + 24*q - 5. Let y be j(-5). Suppose -h*w = -y*w. Solve 2*g - 1 + 9 = w for g. -4 Let q = -879 - -896. Solve 0 = -14*i + q*i - 15 for i. 5 Let s be (-26)/143 + -6*57/(-66). Solve s*l + 50 = -5*l for l. -5 Suppose 10 = 4*q + f - 18, -q = -3*f - 20. Solve q*a - 7*a = -2 for a. -2 Suppose 5*l + 33 = 3*r - 7, 0 = -r - l. Let i be 9 + -1 - (-2 - -6). Solve -s = i*s + r for s. -1 Let o = 178 - 167. Solve -o - 7 = -6*k for k. 3 Suppose -8 = -2*p - 4*z, 0 = 2*p - 2*z - 0 - 2. Let c(n) = n**2 + 13*n - 86. Let g be c(5). Solve p*l + 6 = -g for l. -5 Let h(k) = -4*k - 24. Let r be h(-7). Suppose r*f = w + w + 12, f - 9 = 2*w. Solve 4*o + f = -7 for o. -2 Let v(b) = -b**2 + 7*b + 4. Let t be v(7). Suppose t*j + n = j + 1, -n + 1 = -3*j. Solve -2*h + j = 8 for h. -4 Let i(y) = -y**3 + 4*y**2 + 5*y + 2. Let s be i(5). Let q(c) = 16*c + 433. Let w be q(-27). Solve -w = l + s for l. -3 Let d be 147/56 + (-9)/(-24). Let w = 2 - 0. Let n be -3*-2*w/6. Solve d*c + 15 = -n*c for c. -3 Let b(m) be the second derivative of 2*m**3/3 - m**2 + 9*m. Let t be b(2). Suppose -t*a + 19 + 11 = 0. Solve 3*h - 14 = -a for h. 3 Let k(x) = -4*x - 21. Suppose 0 = -3*u - 64 + 34. Let z be k(u). Let d = -19 + z. Solve d*l - 3 = 3*l for l. -1 Suppose -4*m - 31 + 36 = z, -m = -4*z + 71. Solve -z*t + 16*t = -1 for t. 1 Let p(b) = 2*b**3 + 2*b**2 + 15*b - 39. Let d be p(3). Solve 6*a - 60 = -d for a. -3 Let a(q) = -q**3 + 8*q**2 - 11*q - 4. Let m be a(6). Suppose -29 = -3*f + 4*b, 3*f - 2*b - 3*b = 31. Solve f = d + m for d. 5 Let a = -2028 + 2083. Solve 56*b = a*b - 3 for b. -3 Let c = 683 - 665. Solve 6*a + c = 12*a for a. 3 Suppose 2*y + 14 = -5*j, y - 3*j - 24 = -9. Suppose 19*h - 49 = 68*h. Let m = y - h. Solve -t - 6 = -m*t for t. 2 Let m be (-2)/(-3) + 124/(-6). Let i = -7 - m. Suppose 0*c + 3*v = -c + i, -c + 3*v = 5. Solve -6 = -c*z + z for z. 2 Let a = 301 + -298. Solve -6*h - a = 3 for h. -1 Let z = -16 - -4. Let k = -36 - z. Let j = k - -36. Solve 5*o + 3 + j = 0 for o. -3 Suppose z + 2*z - 6 = 0. Let c be -1 + 5/z*-2. Let u(d) = d**3 + 6*d**2 + d + 8. Let p be u(c). Solve 5*s + 8 + p = 0 for s. -2 Suppose -3*n + 4*v + 16 - 4 = 0, -n + 4 = v. Solve 9*x + 40 = n for x. -4 Let t be (3 - (-58)/(-18)) + (-4)/(-18). Let w(x) = -x**2 + 2. Let l be w(t). Let y(q) = 2*q**2 - 1. Let d be y(1). Solve l*o - d = 3 for o. 2 Let h = -1289 - -1293. Solve v - 2*v - h = 0 for v. -4 Suppose 6*z = 7*z - 85. Suppose -5*k + z = 40. Solve -2*c + 5 = k for c. -2 Suppose 0*m + 10 = 2*m. Let g(j) = -j**3 + 6*j**2 - j - 6. Let v be g(m). Let a be v/6 - (-5)/(-15). Solve 2*i + 8 = -a*i for i. -2 Suppose 3*o = -5*u - 59, 5*u = -3*o + 7*o + 32. Let a be (-91)/o + 1*-4. Suppose -b + 1 = -0*v - 2*v, -3*b + a = -2*v. Solve v*k - k = 4 for k. -4 Let q(h) = h**2 - 12*h - 26. Let r = 80 + -66. Let k be q(r). Solve -4*y - k - 6 = 0 for y. -2 Suppose -66*h + 248 = -148. Solve -c = -4*c + h for c. 2 Let r(j) = -j**2 - 5*j - 4. Let o = -12 + 8. Let p = o + 1. Let z be r(p). Solve z*s - 4*s = -4 for s. 2 Let o be 2/(-14) - (4 - (-64)/(-7)). Solve b + o = 8 for b. 3 Suppose 4*w = -2*j + 40, -w + j + 4*j + 32 = 0. Let q be w/10*(-60)/(-18). Solve 4 + q = 2*m for m. 4 Let i = -5 - -11. Suppose -9 = -3*v + i. Let r = -6 - -6. Solve -v*c + r = -5 for c. 1 Suppose f + 2*h - 4 = 0, 2*f = -0*h + 2*h - 4. Solve -v = -2 - f for v. 2 Suppose 40*d - 35*d - 50 = 0. Solve -11*j + d - 32 = 0 for j. -2 Let n be -1*((-6)/2 - -5). Let t be ((-68)/(-102))/(n/(-3) - 0). Solve -2*g - t = -3*g for g. 1 Let g(r) = -3*r + 21. Let m be g(4). Let f(x) = x**3 - 8*x**2 - 7*x - 16. Let u be f(m). Solve -2*v + u = 4 for v. -1 Let i be 36/(-21)*(7/(-2) - 0). Solve 0*u + i = -3*u for u. -2 Suppose -h - v - 1 = 0, -18 + 50 = 3*h - 4*v. Let w = 17 + -7. Suppose 3*i - 2*c = w, -5*c = 3*i + 14 + 11. Solve h = 2*b - i*b for b. 2 Let h be 54/1*(-6)/(-18). Let u = 25 - h. Let j be (2/(-6))/(u/(-42)). Solve -4*k + j = -3*k for k. 2 Let m be (-2)/(-16)*6*(1 + 7). Suppose -m*j + 29 = -19. Solve 1 = 3*r - j for r. 3 Suppose -5*m + 41 = 4*r, -11*m + 15*m - 4 = 4*r. Solve -2*q - 3 - m = 0 for q. -4 Let y = -9 - -1. Let x(o) = o**2 + 7*o + 11. Let t be x(-2). Let d = t - y. Solve -3*n = -0*n + d for n. -3 Let r = 23 + -18. Suppose 4*d - s = 7, 3 = 6*d - 2*d - r*s. Solve -9 = m + d*m for m. -3 Suppose -3*c + 3*h + 36 = 9, -39 = -4*c + 3*h. Solve 5 = -c*f - 7 for f. -1 Suppose -40 = -5*b - 3*l, 4*b - b - 35 = -4*l. Suppose b*n + 7 = -2*q - 0*q,
{ "pile_set_name": "DM Mathematics" }
82 + 80. -12*f Collect the terms in 8*f + 2*f + 38833*f**2 - 38830*f**2. 3*f**2 + 10*f Collect the terms in -21172*u + 42348*u - 170*u**2 - 21176*u. -170*u**2 Collect the terms in 6 - 6 - 993*v - 1. -993*v - 1 Collect the terms in -185*t - 21*t**2 - t**3 + 96*t - 28*t**2 + 89*t. -t**3 - 49*t**2 Collect the terms in 247943 + 303*y - 858*y - 247943. -555*y Collect the terms in -4618*n**2 + 2666 - 2666. -4618*n**2 Collect the terms in -155 + h - 146 - 141 + 435. h - 7 Collect the terms in -87*v**2 - 78*v**2 + 309*v**2 - 73*v**2. 71*v**2 Collect the terms in -273*a + 0 + 0 + 97*a - 313*a. -489*a Collect the terms in -12*d**2 + 991092*d - 991092*d. -12*d**2 Collect the terms in 467925*q**3 - 233947*q**3 - 233959*q**3 - 3*q**2. 19*q**3 - 3*q**2 Collect the terms in 0*v - 180*v**2 + 480*v**2 + 3*v - 82 - 2*v. 300*v**2 + v - 82 Collect the terms in -2650*f**3 + 5564*f**3 - 2916*f**3. -2*f**3 Collect the terms in -4 - 2*d + 29 - 25. -2*d Collect the terms in -3*d + 54*d**2 - 112*d**2 + 58*d**2 + 6*d**3. 6*d**3 - 3*d Collect the terms in -82*v + 2018*v**3 + 82*v. 2018*v**3 Collect the terms in -55*a**3 - 291*a**3 + 58*a**3. -288*a**3 Collect the terms in 42*r**3 - 3334 - 16*r**3 - 11*r**3 + 3334 - 13*r**3. 2*r**3 Collect the terms in 1449*d**2 - 1449*d**2 + 243*d**3. 243*d**3 Collect the terms in 157 - f - 110 + 352 + 111. -f + 510 Collect the terms in -3248*p**3 - 269 + 269. -3248*p**3 Collect the terms in -27401*w - 3*w**3 + 22*w**2 + 27401*w. -3*w**3 + 22*w**2 Collect the terms in -357310 + 6*u**3 - u**3 + 357310. 5*u**3 Collect the terms in -8*c**2 - 6*c**2 - 3*c**2 - 436*c**3 + 222*c**3 + 216*c**3. 2*c**3 - 17*c**2 Collect the terms in 1845 + o - 12*o**2 - 1845 - o. -12*o**2 Collect the terms in -3 + 38*b + 4 + 74*b - 14*b. 98*b + 1 Collect the terms in 2739*s**2 - 5567*s**2 + 2829*s**2. s**2 Collect the terms in -9*r**2 + 7*r**2 - 1379*r + 1391*r. -2*r**2 + 12*r Collect the terms in -2*l - 362*l**3 + 2*l - 6363*l**3. -6725*l**3 Collect the terms in 192*c + 197*c - 970*c + 198*c + 193*c + 192*c. 2*c Collect the terms in -1 + 105*s + 2 - 1 - 123*s. -18*s Collect the terms in 5 + 6 + 11720*u - 11719*u. u + 11 Collect the terms in -3242*a + 7*a**2 + 1653*a + 1589*a. 7*a**2 Collect the terms in 9*k**2 - 1185*k + 563*k + 622*k. 9*k**2 Collect the terms in -56*o - 44*o - 8*o + 3*o. -105*o Collect the terms in 5755257*g**3 - 2877632*g**3 - 2877629*g**3. -4*g**3 Collect the terms in -46*z**2 - 8*z - 45*z**2 + 88*z**2 - 3*z. -3*z**2 - 11*z Collect the terms in -5 - 12767*j**3 + 12768*j**3 + 5. j**3 Collect the terms in -2 + 2 - 92*z**2 - 187*z**2 - 102*z**2. -381*z**2 Collect the terms in -12898*i**3 - 12891*i**3 + 25794*i**3. 5*i**3 Collect the terms in -1614*x**2 - 1486*x**2 + 4717*x**2 - 1614*x**2. 3*x**2 Collect the terms in -5*l**2 + l**2 + 892*l + 5*l**2 - 892*l. l**2 Collect the terms in -105 + 0*a**2 - 20*a**2 + 110. -20*a**2 + 5 Collect the terms in 1679*f + 1620*f - 4920*f + 1619*f. -2*f Collect the terms in 0*u**2 + u**2 + 2*u**3 - 726 - 17*u**3. -15*u**3 + u**2 - 726 Collect the terms in -408*q - 411*q + 1268*q - 449*q - 2*q**3. -2*q**3 Collect the terms in 5208*k + 5280*k + 5275*k - 15764*k. -k Collect the terms in -39*y**3 + 8*y**3 - 161*y**2 + 252*y**2 - 91*y**2. -31*y**3 Collect the terms in -5799*v - 1410*v + 921*v. -6288*v Collect the terms in -2331484 + 4662968 + 5*s - 2331484. 5*s Collect the terms in 121*u**2 - 4303*u**2 - 275*u**2. -4457*u**2 Collect the terms in -114243 - c**3 + 114243. -c**3 Collect the terms in 3640*h**3 - 847*h**3 + 838*h**3. 3631*h**3 Collect the terms in 586*d**3 - 372*d**3 + 1272*d**3 + 970*d**3. 2456*d**3 Collect the terms in -22*l**2 + 2033 - 2033. -22*l**2 Collect the terms in 137*m - 67*m + 22*m**2 - 70*m + 9*m**2. 31*m**2 Collect the terms in 3*q - 3*q - 2*q + 4*q + 147. 2*q + 147 Collect the terms in -55 - 25 + 4*a - 5*a + 34. -a - 46 Collect the terms in 756*g + 4*g**2 + 5*g**2 - 756*g - 11*g**2. -2*g**2 Collect the terms in -129*p + 1232*p - 1107*p. -4*p Collect the terms in 2877*v**2 - 11*v**3 - 71*v**3 - 2858*v**2. -82*v**3 + 19*v**2 Collect the terms in 353*m**3 - 268*m**3 - 207*m**3. -122*m**3 Collect the terms in -251*m + 322*m**2 + 251*m. 322*m**2 Collect the terms in 58*l**3 - 49550670 + 49550670. 58*l**3 Collect the terms in -x**3 - 1176*x + 3499*x - 1141*x - 1182*x. -x**3 Collect the terms in -q + 1441*q**3 + 512*q**3 + 0*q. 1953*q**3 - q Collect the terms in -9*s**2 + 182*s**2 - 278 + 141 + 137. 173*s**2 Collect the terms in 105*c - 105*c - 863*c**2 - 656*c**2. -1519*c**2 Collect the terms in -83040656*q**2 - 1 + 1 + 83040662*q**2. 6*q**2 Collect the terms in 2*u - 3*u + 346 + 0*u. -u + 346 Collect the terms in -b**2 - 4*b**2 + 2*b**2 - 31212*b**3. -31212*b**3 - 3*b**2 Collect the terms in -1045*g + 340*g + 350*g + 357*g. 2*g Collect the terms in -22*o + 37869*o**3 - 37878*o**3 + 22*o. -9*o**3 Collect the terms in 135196 + 80*v**3 - 135196. 80*v**3 Collect the terms in 106 - 31*o**2 + 42 + 32*o**2. o**2 + 148 Collect the terms in 5*u**3 - u**3 - 7*u**3 - 14*u**3 + 0 + 2. -17*u**3 + 2 Collect the terms in 56 + 1240034*l**2 - 1240034*l**2 - 56 - 4*l**3. -4*l**3 Collect the terms in 238*y + 6320 - 12646 + 6324. 238*y - 2 Collect the terms in -16*l**2 + 55*l**2 - 21*l**2 - 19*l**2. -l**2 Collect the terms in -69*b + 447 - 79*b + 147*b. -b + 447 Collect the terms in 131*y + 142*y - 34*y + 16*y. 255*y Collect the terms in 6*a**2 - 10*a**2 - 47*a**3 - a**2 + 4*a**2. -47*a**3 - a**2 Collect the terms in -8 - 9 + 23 - 70*d. -70*d + 6 Collect the terms in 553*k + 550*k - 1673*k + 554*k. -16*k Collect the terms in 169 - 101*i + 176 - 345 + 37*i. -64*i Collect the terms in -k**2 + 265*k**3 - k**2 - 553*k**3 - 1923*k**3. -2211*k**3 - 2*k**2 Collect the terms in -207*s**3 - 12693*s**3 - 983*s**3. -13883*s**3 Collect the terms in -13098 - 541876316*d**3 + 541876315*d**3 + 13098. -d**3 Collect the terms in -3 - 14*j - 11*j - 21*j + 49*j - 9*j. -6*j - 3 Collect the terms in -w**3 - 3*w**3 + 5*w**3 + 0*w**3 + 610. w**3 + 610 Collect the terms in 12*v**3 + 22*v - 40*v**3 - 13*v**3 - 22*v. -41*v**3 Collect the terms in -905494*o + 1810993*o - 905497*o. 2*o Collect the terms in 4*z + 2*z + 3*z + 13. 9*z + 13 Collect the terms in -1913*u**2 + 1871*u**2 + 29*u**2. -13*u**2 Collect the terms in 10*h + 1 + 53*h + 25*h + 1. 88*h + 2 Collect the terms in 67*a - 139*a + 75*a + 17*a**2. 17*a**2 + 3*a Collect the terms in 72168*u**2 - 144356*u**2 + 72189*u**2. u**2 Collect the terms in -1352 + 2720 - 30*x - 1368. -30*x Collect the terms in 32*d**3 - 29*d**3 - 105 - 31. 3*d**3 - 136 Collect the terms in -446232 + 38*q + 446232. 38*q Collect the terms in -7*a**2 + 1136*a + 2 - 1136*a - 2. -7*a**2 Collect the terms in -1 - 5 + 1 + 7*j + 3*j - 2*j. 8*j - 5 Collect the terms in 2*q**2 + 4*q**2 + 4*q**2 - 4*q**2 - 19*q**2 + q**2. -12*q**2 Collect the terms in -6*k**2 - 5 - 42 - 12 + 64. -6*k**2 + 5 Collect the terms in 181*c**2 - 15*c**2 - 49*c**2 - 61*c**2 - 55*c**2. c**2 Collect the terms in 7*p + 7*p + p + 2*p - 11*p. 6*p Collect the terms in 416*y**3 + 4 - 186*y**3 - 4. 230*y**3 Collect the terms in 66748*v - 34*v**3 - 66748*v. -34*v**3 Collect the terms in 64 - 28*k**3 - 38 - 13 - 13. -28*k**3 Collect the terms in 54*d**2 - 237*d**2 + 64*d**2 + 65*d**2 + 67*d**2. 13*d**2 Collect the terms in -2270298*i + 2270298*i - 52*i**3. -52*i**3 Collect the terms in 16 + 38*n - 21*n - 13 - 19*n. -2*n + 3 Collect the terms in 655*a**3 - 49 + 49 + 18*a**2 - 656*a**3. -a**3 + 18*a**2 Collect the terms in -2*q + 2*q - 416 + 1348 - 2*q**2 - 932. -2*q**2 Collect the terms in -114*v**3 + 145*v**3 - 1456*v**3. -1425*v**3 Collect the terms in -1200*n**3 + 4305*n**3 + 1709*n**3. 4814*n**3 Collect the terms in 838 + 0*z - z - z. -2*z + 838 Collect the terms in d**3 + 29693*d + 29697*d - 59390*d. d**3 Collect the terms in 15 + 347*a**2 - 8 - 7. 347*a**2 Collect the terms in 7*t - 12*t + 5*t - 844*t**2. -844*t**2 Collect the terms in -2*l + 14*l**2 - 2*l**2 + 408*l**3 - l. 408*l**3 + 12*l**2 - 3*l Collect the terms in 7953 + 1286 + 2*i + 63. 2*i + 9302 Collect the terms in 5354 + 4276 - 1946 - 3*m - 405. -3*m + 7279 Collect the terms in -2 - 62238*w + 2*w**2 + 62238*w. 2*w**2 - 2 Collect the terms in 112*b - 353*b - 711*b. -952*b Collect the t
{ "pile_set_name": "DM Mathematics" }
to -1? (a) z (b) -0.1 (c) k b Let z = 0.7 - 0.2. Let s = 185.12 - 181. Let x = -0.12 + s. Which is the closest to x? (a) -5 (b) z (c) 2 c Let r = -10.56 + 6.56. Let f = -1 + 0.9. What is the nearest to f in 5, r, -6/11? -6/11 Let x = 2.65 - 2.65. What is the closest to 0.2 in -0.1, x, -0.4? x Let j be (-64)/36 + 1*2. Let v = -1056 + 1056.17. Which is the nearest to -1? (a) -2 (b) v (c) j a Let r be 8/(7280/247) - 1/5. Which is the nearest to r? (a) -2 (b) -1/4 (c) 0 c Let n(k) = 3*k**2 + 2*k + 3. Let o be n(-3). Let j = -6941 - -6939. Which is the closest to 1? (a) j (b) -3 (c) o a Let r(f) = f**3 - 5*f**2 - 7*f + 3. Let u be r(6). Let i = -2/3 + 5/12. What is the nearest to u in i, -5, 0? -5 Let k(o) be the third derivative of o**5/60 + o**4/6 - o**3/6 - o**2. Let n be k(-5). Let d = -593 - -590. Which is the closest to 0? (a) n (b) d (c) 0 c Let s = 17 + -16.89. Let w = s + -16.11. Let t = 17 + w. What is the closest to t in -1/5, -0.3, -3? -1/5 Let s = -0.6 + 0.2. Let y = 3.0252 - 0.0252. Which is the closest to 0? (a) s (b) 1 (c) y a Suppose -2*n - 4*r + 4 = 0, -6 + 9 = 3*r. Which is the closest to -0.1? (a) 2/9 (b) -2/5 (c) n (d) -2 c Let g = -0.4 - -0.28. Let k be (-6)/22 - 2068/(-484). What is the nearest to g in 4/3, -2, k? 4/3 Let b(h) = 2*h**2 - 2*h + 3. Let o be b(2). Let t = -0.9 - 0.1. Let w = t + 0.6. What is the nearest to o in w, 5, -1? 5 Let a = -1 - -24. Let h = a - 35. Let j = h + 10. What is the nearest to 2 in -0.3, 2/3, j? 2/3 Let n = 0.05 - -0.35. Let v be ((-2)/21)/((-1)/((-49)/21)). Which is the closest to v? (a) n (b) -2 (c) 0.2 c Suppose -262*q = -260*q + 8. What is the closest to 2/9 in 0.4, 1.2, 0.3, q? 0.3 Let w = -0.0606 + 0.5606. Let v = -2.5 - -2. What is the nearest to w in -3, -0.2, v? -0.2 Let g = 545/714 - 28/51. Which is the nearest to g? (a) 1 (b) -3 (c) -0.2 c Let p = -51 - -50. Which is the closest to p? (a) 0.1 (b) -29 (c) -0.2 c Let j = -41 + 231. Let l = j - 2848/15. What is the nearest to 2 in -4, l, 5? l Suppose 0 = -n + r - 4*r - 17, -4*n - 38 = 2*r. Let m be -2 + (-52)/n + -3. What is the nearest to 2 in 2/9, m, -5? m Let k = 13.9 + -13.8. Which is the closest to 0.1? (a) 2 (b) -3 (c) k c Let a = -284 - -283.7. What is the nearest to a in 0, 1, 0.5? 0 Suppose 2*t = 4*t + 560. Let b = -1964/7 - t. Let l(m) = -m**2 - 17*m + 19. Let s be l(-18). What is the closest to s in 3, 5, b? b Suppose 0 = -4*m + 4*d - 4, -m + 2*d = 4*m - 10. Let z = 0.8 + -1. Let x = 55.2 + -55. Which is the nearest to -1? (a) m (b) x (c) z c Let s = 2386814/3793449 + 210/9097. Let g = 2/139 + s. What is the closest to -1 in -0.4, 5, g? -0.4 Let t = -3 + 2.71. Let o = -0.09 - t. Let h be 0 - -1 - 45/55. Which is the nearest to 0? (a) 0 (b) h (c) o a Let l be -3*((-8)/(-6) + 2). Let v = -0.48 + 0.58. Which is the closest to v? (a) 4 (b) l (c) 5 a Let k be 10/(-35) - 38/14. Let o be -1*3/45*k. Let z = -4.201 + 0.201. Which is the closest to 2/5? (a) 2/7 (b) z (c) o a Let w = -22.2 - -106.2. What is the closest to -1 in 2, 1/3, w, -1/2? -1/2 Let r = 1.04 + -0.04. Let u = 4460 - 4465. Which is the nearest to 0? (a) r (b) 10 (c) u a Let r be ((-4)/20)/((-4)/(-10))*0. Let z = -68.03 + 68. Which is the nearest to 2? (a) 0.2 (b) z (c) r a Let q = -0.2 - -0.3. Let h = -9.1455 - -0.1455. Which is the closest to q? (a) 3 (b) -5 (c) h a Let h be (18/(-42) - 0) + (-2)/28. What is the nearest to h in -1/2, 3, 1? -1/2 Let c = -103/4 + 25. Let n be (360/(-27))/(2/(-3)). Suppose -n*y = -9*y. What is the nearest to y in 3, 0.4, c? 0.4 Let t be (-4)/10*(-50)/160. Let i = 8.93 - 9. Which is the nearest to i? (a) -0.3 (b) t (c) 1/7 b Let c be 1/3*(30/(-9))/(-1). What is the nearest to c in 2, -1, -2? 2 Let o = 6.55 + -7.55. Which is the closest to -1? (a) o (b) 3 (c) 0.9 (d) 2 a Let q = 741 + -741. Let t = 0.7 - -0.3. Which is the closest to q? (a) -10 (b) 5 (c) t c Let v = -158/5 + 23. Let h = v - -44/5. Let t = 0.2 - 0.2. What is the closest to 1 in h, 1, t? 1 Let r = 23 + -23.23. Let j = r + -0.07. Suppose u = -4*u. Which is the nearest to u? (a) 5 (b) j (c) 2/17 c Let q = 3/61 - 131/183. Which is the closest to q? (a) -21 (b) -0.2 (c) 0 b Let k = -0.11 - -0.61. Let p(s) = s + 3. Let l be p(-5). What is the nearest to l in -5, 5, k? k Let r be (17 - 8 - -3)/(-11). What is the nearest to r in 0.11, 2, 3? 0.11 Let a = 259.3 - 260. Let f = 0.24 + -3.54. Let l = f + a. What is the closest to -8 in l, 0, 2/7? l Let k = 7.4 - 1.4. Let q = 4 - k. Let t = 821/35 + -160/7. What is the closest to 1 in -3, q, t? t Let q = -61 - -114. Let w = -56 + q. What is the nearest to 1 in 0, 2/5, w? 2/5 Let w = -224.94 - -223. Let l = -0.06 + w. Let f = -140 + 142. Which is the closest to l? (a) -2 (b) f (c) 1 a Let c = 1497 + -1496. What is the nearest to 93 in -0.1, c, 3? 3 Let n = -0.1 - 1. Let v = -2.1 - -1.3. Let w = v - n. Which is the nearest to 0? (a) 3 (b) w (c) -2/7 c Let k = -4 - -23. Let s = k + -18. Which is the closest to 0.1? (a) s (b) -3/4 (c) 3/2 b Let z = 6.58 + -6.58. What is the closest to z in -0.1, -3, 1.4, -0.4? -0.1 Let b = 7 + -6.96. Let a = 99 + -103. What is the closest to 4 in b, a, 4? 4 Let u = -13 - -9. Let s = -2 - -2.1. Let k = 64 + -62. Which is the nearest to 1? (a) k (b) s (c) u b Let v = -3 - -7. Let i = -1445 - -1448. Which is the closest to 1? (a) 0 (b) i (c) v a Let f be (-8)/64 - 370/(-16). Let m = f + -25. What is the nearest to -1 in -2/13, 0.1, m? -2/13 Let v be ((-2)/(-12))/(4/(-16)). Let j = -303 - -295. Which is the closest to v? (a) 4/9 (b) -1 (c) j b Let m = 19.78 - 1.38. Let s = m - 18. What is the nearest to 1 in 3/7, 2/21, s? 3/7 Let h = -84/17 - -421/68. Which is the nearest to -0.9? (a) h (b) 3 (c) -6 a Let x = -2.04 + 0.04. Let z = 10.96 - 11.96. What is the closest to 1 in x, 0.3, z? 0.3 Let x = 7 + -11. Let r(g) = -g**3 - 6*g**2 - 2. Suppose 0 - 20 = 3*z - k, -4*z + 2*k = 28. Let u be r(z). What is the nearest to 0.2 in u, x, -3? u Let w = 118.5 - 118.4. What is the closest to 2 in -2/33, 1, w? 1 Let s = -45.26 - -50.26. Let w = 3.08 + -0.08. Which is the closest to 0.2? (a) s (b) -5/2 (c) w b Let p = 11.3 - 11. Let l = -0.2 - 0. Suppose k - 4 = 0, 2*t + 5*k = -3*t + 5. Which is the closest to t? (a) l (b) -1/7 (c) p a Suppose 2*w = 3*z - 1 - 1, -z = -5*w + 8. What is the closest to -2/7 in 36, z, 0.4? 0.4 Let z = -2632 - -2624. What is the closest to -1 in -0.5, z, 3, -3? -0.5 Let j = -169/24 + 20/3. Which is the nearest to 1? (a) -1 (b) j (c) 56 b Let g(f) be the third derivative of -f**4/24 - f**3/3 - 3*f**2. Let j be g(3). Let t = -4.01 - -0.01. Which is the closest to 1/2? (a) t (b) j (c) -4/3 c Let s = -251.5 - -249.5. What is the nearest to 0.1 in s, 4, 0, 0.8? 0 Suppose 7 = 5*l - 3. Let c be (13 - 11) + (-2)/(-14). Let w = -67/28 + c. What is the closest to 1 in 2/7, l, w? 2/7 Let f = -0.2315 + 0.4315. Let i = 0 + -0.4. Which is the nearest to i? (a) f (b) 1 (c) -0.1 c Let p = 55.1 - 55. Suppose -t = z, t + 5 = -3*z - 3. Suppose 0*v = -t*v - 16. What is the nearest to p in -1/3, v, -1/2? -1/3 Let h = 0.28 - 0.28. Let n = -1 - 4. Let g = n + 5.2. What is the closest to h in 1/3, -5, g? g Let u be (-16)/234*1 + 0. Let v = 2/9 + u. Let x = -451 - -450. Which is the nearest to x? (a) v (b) -3 (c) -2 c Let y = 35 + -26. Let s = -8.9 + y. Which is the closest to s? (a) 0 (b) -9 (c) 5 a Let s = 0.1 - 0. Let p be 1 - (0 - 8/2). Let l = 2502.2 - 2502. What is the nearest to 1 in p, s, l? l Suppose -5 = 3*r + 3*u + 13, 24 = -5*r + u. Let y = r - -2. Which is the closest to 0.1? (a) y (b) -0.02 (c) -0.2 b Let w be 3 - (-6)/(-450)*-6*-40. Which is the closest to -1/3? (a) w (b) 1/8 (c) 5 (d) 0.2 a Let j = 87 - 86.7. Let d = 2 - 2. Let i = j - d. What is the closest to -1 in -4, 3/5, i? i Let v = 2958 - 2957.5. Let w = -1.1 + 1. What is the closest to 1/3 in v, w, -0.3? v Let j = -8 - -7. Let a = -362 + 362.2. What is the closest to a in j, -2/3, 0? 0 Let f be 24/(-21) + -1 + 2. Let d = -156 - -158. What is the closest to d in f, 2/17, -1/5? 2/17 Let u = -17 - -31. Let z be ((-7)/((-28)/8))/(-7 - 0). Which is the closest to -0.1? (a) z (b) u (c) -3 a Let r = 45.6 - 45.7. What is the nea
{ "pile_set_name": "DM Mathematics" }
. Give prob of picking 1 p and 2 o. 1/55 What is prob of picking 1 k and 1 h when two letters picked without replacement from {h: 9, k: 1, z: 1, s: 2}? 3/26 Two letters picked without replacement from {q: 3, s: 1}. What is prob of picking 2 q? 1/2 Two letters picked without replacement from nxngnnlvnnvnnnnn. What is prob of picking 1 x and 1 n? 11/120 What is prob of picking 3 f when three letters picked without replacement from ffff? 1 Two letters picked without replacement from {i: 4, l: 6, p: 1, j: 2}. What is prob of picking 1 l and 1 i? 4/13 What is prob of picking 2 i, 1 s, and 1 o when four letters picked without replacement from {o: 2, i: 2, s: 11}? 22/1365 Three letters picked without replacement from {c: 5, h: 2}. Give prob of picking 2 c and 1 h. 4/7 Two letters picked without replacement from ifikifikiiff. What is prob of picking 1 k and 1 i? 2/11 Two letters picked without replacement from zyzwylwzlyzwwyl. What is prob of picking 1 z and 1 l? 4/35 What is prob of picking 1 v and 1 l when two letters picked without replacement from {p: 3, v: 1, e: 4, l: 6}? 6/91 Three letters picked without replacement from {j: 7, t: 3, z: 2}. Give prob of picking 2 j and 1 t. 63/220 Four letters picked without replacement from olfkuuk. Give prob of picking 2 k, 1 u, and 1 f. 2/35 Two letters picked without replacement from inioynk. Give prob of picking 2 i. 1/21 Two letters picked without replacement from djjiwwjvjdcdwwvvc. What is prob of picking 2 d? 3/136 Two letters picked without replacement from lmlmmxll. What is prob of picking 1 m and 1 x? 3/28 What is prob of picking 2 f and 2 u when four letters picked without replacement from affauauuauafa? 18/715 Calculate prob of picking 3 b when three letters picked without replacement from {b: 3, o: 3}. 1/20 Four letters picked without replacement from {j: 3, o: 2, q: 5, m: 3, k: 3}. Give prob of picking 2 k and 2 q. 3/182 Two letters picked without replacement from sffsf. Give prob of picking 1 s and 1 f. 3/5 What is prob of picking 1 s, 1 h, and 1 r when three letters picked without replacement from rhsyysrsrrsohs? 10/91 What is prob of picking 1 h and 1 y when two letters picked without replacement from {t: 2, h: 1, y: 4, o: 2}? 1/9 Three letters picked without replacement from tpchphhhcc. Give prob of picking 2 c and 1 h. 1/10 Two letters picked without replacement from {n: 2, v: 3, y: 1, d: 4, j: 1}. What is prob of picking 1 n and 1 j? 2/55 Calculate prob of picking 2 e when two letters picked without replacement from xbexexbebxcx. 1/22 Calculate prob of picking 2 k and 1 o when three letters picked without replacement from {k: 8, o: 5}. 70/143 Two letters picked without replacement from ezeeeeszewzsseeees. What is prob of picking 2 z? 1/51 What is prob of picking 4 d when four letters picked without replacement from tdddddtt? 1/14 Calculate prob of picking 3 s and 1 b when four letters picked without replacement from bsbssbsbsssbb. 42/143 Calculate prob of picking 1 a, 1 x, and 1 w when three letters picked without replacement from {g: 2, w: 1, t: 1, z: 2, a: 2, x: 4}. 2/55 What is prob of picking 1 k and 3 w when four letters picked without replacement from kwwwkkwwkkkk? 14/99 Three letters picked without replacement from mkejmwwy. What is prob of picking 1 m, 1 j, and 1 w? 1/14 What is prob of picking 1 x and 3 n when four letters picked without replacement from {x: 2, n: 3}? 2/5 What is prob of picking 3 p when three letters picked without replacement from fffppbpfbfpbbff? 4/455 Four letters picked without replacement from {w: 4, m: 3, c: 1, t: 5}. Give prob of picking 4 t. 1/143 Two letters picked without replacement from {f: 1, l: 1, w: 2, s: 1}. What is prob of picking 1 l and 1 f? 1/10 Two letters picked without replacement from {j: 1, i: 2, e: 1, x: 2, g: 1, f: 1}. Give prob of picking 1 f and 1 j. 1/28 What is prob of picking 2 d when two letters picked without replacement from {d: 5}? 1 What is prob of picking 1 a and 3 o when four letters picked without replacement from aoodadqxoah? 1/110 What is prob of picking 1 s, 1 k, and 1 i when three letters picked without replacement from kkisf? 1/5 What is prob of picking 1 e, 1 n, and 1 o when three letters picked without replacement from oreernnrre? 1/20 Three letters picked without replacement from {l: 1, v: 1, j: 13}. What is prob of picking 3 j? 22/35 Calculate prob of picking 2 g and 1 d when three letters picked without replacement from {g: 7, d: 9}. 27/80 Two letters picked without replacement from {n: 1, j: 3, r: 1, o: 3, f: 3}. What is prob of picking 1 n and 1 r? 1/55 What is prob of picking 1 m, 1 k, and 2 r when four letters picked without replacement from {r: 4, m: 4, k: 9}? 54/595 Calculate prob of picking 2 z when two letters picked without replacement from erezjxxfz. 1/36 What is prob of picking 2 t when two letters picked without replacement from {t: 9}? 1 Calculate prob of picking 1 s and 3 z when four letters picked without replacement from {s: 15, z: 3}. 1/204 What is prob of picking 1 q, 1 h, and 1 o when three letters picked without replacement from foorororohrqrm? 5/364 What is prob of picking 1 j and 1 l when two letters picked without replacement from jjccjljjjdcjjcjjdjj? 4/57 Two letters picked without replacement from hrsggln. Give prob of picking 1 h and 1 r. 1/21 Three letters picked without replacement from {h: 5, w: 2, u: 3}. Give prob of picking 3 u. 1/120 Two letters picked without replacement from qfsffqqfsqqsqqqqqq. What is prob of picking 2 q? 55/153 Four letters picked without replacement from {m: 2, j: 1, l: 2, r: 1, v: 1}. What is prob of picking 1 v, 1 j, and 2 m? 1/35 Calculate prob of picking 4 d when four letters picked without replacement from {e: 3, d: 13}. 11/28 Calculate prob of picking 4 s when four letters picked without replacement from {s: 6, w: 12}. 1/204 Calculate prob of picking 1 a and 2 j when three letters picked without replacement from ajoaj. 1/5 Three letters picked without replacement from {j: 7, r: 5, c: 3, n: 4}. Give prob of picking 1 c and 2 n. 6/323 Calculate prob of picking 2 z and 2 o when four letters picked without replacement from zzzozoowooo. 3/11 Two letters picked without replacement from iixqmiiiiiiixjiiqiii. Give prob of picking 1 j and 1 m. 1/190 Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {n: 1, j: 8, z: 7, b: 4}. 4/95 Calculate prob of picking 2 a, 1 f, and 1 r when four letters picked without replacement from fratfaofarraffe. 6/91 Four letters picked without replacement from {c: 2, h: 3, j: 4, l: 2}. Give prob of picking 2 h and 2 l. 1/110 What is prob of picking 1 r and 1 c when two letters picked without replacement from {p: 1, m: 2, c: 1, h: 3, r: 3}? 1/15 Three letters picked without replacement from xigggiaigiagiiigg. Give prob of picking 1 i and 2 x. 0 Three letters picked without replacement from gganavnnvnggaangama. What is prob of picking 3 g? 10/969 Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {h: 3, b: 5, c: 2}. 1/3 Two letters picked without replacement from {g: 2, z: 3, r: 13}. What is prob of picking 2 r? 26/51 Calculate prob of picking 1 d, 1 c, and 2 b when four letters picked without replacement from ppcbppbd. 1/70 Two letters picked without replacement from {e: 3, r: 3, g: 1}. What is prob of picking 1 g and 1 r? 1/7 Two letters picked without replacement from rrvdrrrrrvvrrrrrrrrr. What is prob of picking 2 v? 3/190 Two letters picked without replacement from jbqtztj. Give prob of picking 2 t. 1/21 What is prob of picking 3 t and 1 m when four letters picked without replacement from {m: 4, c: 1, t: 5}? 4/21 What is prob of picking 2 y and 2 b when four letters picked without replacement from yyyyyyyyyyyyyyyyyyby? 0 Four letters picked without replacement from huawiiwuuuiuuuhi. Give prob of picking 1 a, 1 h, and 2 i. 3/455 Two letters picked without replacement from {o: 4, f: 5, b: 8}. Give prob of picking 2 f. 5/68 Calculate prob of picking 1 g and 1 n when two letters picked without replacement from ggmnqumnh. 1/9 What is prob of picking 1 b and 2 z when three letters picked without replacement from {u: 1, d: 5, s: 1, b: 1, z: 3}? 1/55 What is prob of p
{ "pile_set_name": "DM Mathematics" }
(4*(-4)/8)/2. Let d = 3/2 + p. Factor -2*o**2 + 3*o**3 - 2*o**4 + d*o + 1/2*o**5 + 0. o*(o - 1)**4/2 Let m = 20 - 18. Suppose 5*a - 5*j = -10, -3*j - m + 8 = 5*a. Factor a + 4/5*i**3 + 2/5*i**2 + 0*i + 2/5*i**4. 2*i**2*(i + 1)**2/5 Find a, given that 5*a + 10/3 + 5/3*a**2 = 0. -2, -1 Find n, given that -4/17*n + 6/17*n**2 + 0 = 0. 0, 2/3 Solve 0*h + 5/2*h**2 - 45/4*h**3 + 0 + 5*h**4 = 0. 0, 1/4, 2 Let x = 4 + -10. Let u be x/(-4)*32/24. Factor 0 + 1/4*i + 1/4*i**u. i*(i + 1)/4 Let j = 217/65 - 7/13. Determine s so that -j*s**5 + 12/5*s**3 - 11/5*s**4 + 11/5*s**2 + 0 + 2/5*s = 0. -1, -1/2, -2/7, 0, 1 Let i(r) be the first derivative of -r**6/3 - 16*r**5/5 - 25*r**4/2 - 76*r**3/3 - 28*r**2 - 16*r - 14. Factor i(y). -2*(y + 1)**2*(y + 2)**3 Suppose -g - 14 = -4*a + g, -9 = -3*a + g. Let 30*h - 26*h**2 - a*h**4 - 8 + 12*h**3 - 11*h + 5*h = 0. Calculate h. 1, 2 Factor 9 + 3/2*x**2 - 15/2*x. 3*(x - 3)*(x - 2)/2 Let w(b) be the third derivative of -2*b**7/315 + b**5/15 - b**4/9 + 28*b**2. Factor w(q). -4*q*(q - 1)**2*(q + 2)/3 Let u(b) be the third derivative of b**6/360 - b**5/60 + b**4/36 + 55*b**2 + b. Factor u(h). h*(h - 2)*(h - 1)/3 Let s(j) be the second derivative of -j**7/840 + j**6/240 - j**4/4 - 7*j. Let t(u) be the third derivative of s(u). Factor t(w). -3*w*(w - 1) Let r = -129 + 131. Factor 0*x + 0 - 1/2*x**5 - 2*x**r + 3/2*x**4 + 0*x**3. -x**2*(x - 2)**2*(x + 1)/2 Let u(n) be the first derivative of -5*n**4/4 - 8*n**3/3 - n**2/2 + 2*n - 15. Determine k, given that u(k) = 0. -1, 2/5 Let q be (-26)/8 + 20/5. Let -3/4*f + 0 + q*f**3 + 0*f**2 = 0. Calculate f. -1, 0, 1 Let p(t) be the third derivative of -t**8/6720 + t**7/2520 + t**4/6 + 4*t**2. Let j(f) be the second derivative of p(f). Factor j(x). -x**2*(x - 1) Let o = -13 - -10. Let c(s) = -3*s**4 + 15*s**3 - 36*s**2 + 39*s - 12. Let v(x) = -x**3 + x**2 + x. Let d(m) = o*v(m) + c(m). Factor d(u). -3*(u - 2)**2*(u - 1)**2 Let r(a) be the second derivative of -a**7/56 + 3*a**6/20 - 9*a**5/20 + 5*a**4/8 - 3*a**3/8 + 9*a. Factor r(c). -3*c*(c - 3)*(c - 1)**3/4 Let x = -30/11 + 984/385. Let u = 4/35 - x. Determine g so that -8/7 - u*g**2 - 8/7*g = 0. -2 Factor 2/5*a**5 + 4/5*a**4 + 0*a**2 + 0*a + 0 + 2/5*a**3. 2*a**3*(a + 1)**2/5 Suppose 3*z = 3*n + 39, 5*z - 19 = n + 66. Let x = 21 - z. Let 0*u + 4/7*u**2 + 0 + 2/7*u**x = 0. What is u? -2, 0 Let t(l) be the first derivative of -l**6/30 + l**5/10 - l**3/3 + l**2/2 + 2*l + 4. Let s(r) be the first derivative of t(r). Factor s(u). -(u - 1)**3*(u + 1) Let x = -3 + 4. Let u be x/(-4)*(-48)/18. Let 0 - u*j + 4*j**4 + 4*j**2 - 22/3*j**3 = 0. Calculate j. 0, 1/3, 1/2, 1 Find a, given that -2/13*a - 4/13*a**3 - 8/13*a**2 + 6/13*a**5 + 8/13*a**4 + 0 = 0. -1, -1/3, 0, 1 Suppose -3*r - 5 = -2*c - 1, -4*r - 3*c + 6 = 0. Suppose -2*y - 19 + 29 = r. Determine h, given that 0*h + 11/3*h**4 - 8/3*h**3 + 0 - h**y - 4/3*h**2 = 0. -1/3, 0, 2 Let j(n) be the third derivative of 8*n**6/3 - 4*n**5 + 5*n**4/2 - 5*n**3/6 + 5*n**2. Factor j(t). 5*(4*t - 1)**3 Suppose 0 = -5*o + 9 + 6. Suppose 0*n = -2*n. Factor -9/4*x**4 - 7/4*x**2 + 15/4*x**o + n + 1/4*x. -x*(x - 1)*(3*x - 1)**2/4 Let h be -26*(-2)/(-60) - -1. Let c(p) be the third derivative of 2/75*p**5 + h*p**3 + 0*p - 1/12*p**4 + 2*p**2 + 0 - 1/300*p**6. Factor c(o). -2*(o - 2)*(o - 1)**2/5 Let c(t) be the third derivative of -1/30*t**5 + 4*t**2 + 2/27*t**3 - 1/108*t**4 + 0 + 13/540*t**6 + 0*t - 1/189*t**7. Let c(z) = 0. What is z? -2/5, 1 Determine p, given that 1/9*p**3 - 2/9*p**2 - 1/3*p + 0 = 0. -1, 0, 3 Let c(v) be the third derivative of -v**8/336 + 4*v**7/105 - 11*v**6/60 + 7*v**5/15 - 17*v**4/24 + 2*v**3/3 - 23*v**2. Find o such that c(o) = 0. 1, 4 Solve 8/5*i + 1/5*i**2 + 16/5 = 0 for i. -4 Let h(l) = -l**3 + l**2 - l + 1. Let j(c) = -16*c**3 + 20*c**2 - 12*c + 12. Let q(u) = 12*h(u) - j(u). What is s in q(s) = 0? 0, 2 Let w(k) be the second derivative of 6*k**6/5 - 42*k**5/5 + 52*k**4/3 - 44*k**3/3 + 6*k**2 - 5*k. Factor w(q). 4*(q - 3)*(q - 1)*(3*q - 1)**2 Let i(z) be the second derivative of z**4/18 + z**3/3 + 2*z**2/3 - z. Factor i(c). 2*(c + 1)*(c + 2)/3 Let k(n) be the second derivative of n**6/6 - 3*n**5/4 + 24*n. Factor k(d). 5*d**3*(d - 3) Determine v, given that -32/3*v + 2/3*v**2 + 128/3 = 0. 8 Suppose -9 = -5*w + 1. Let l be (824/72 - 4) + -7. Suppose -4/9 + l*t**w - 2/3*t = 0. Calculate t. -1/2, 2 Let o = -304/3 + 102. Let j(k) be the third derivative of 2*k**2 + 3/2*k**4 + o*k**3 + 0*k + 39/20*k**5 + 5/14*k**7 + 0 + 4/3*k**6. Factor j(n). (n + 1)*(3*n + 1)*(5*n + 2)**2 Let q(r) be the second derivative of r**5/120 - r**3/12 + r**2/6 - 9*r. Factor q(t). (t - 1)**2*(t + 2)/6 Let p(c) be the first derivative of -c**6/1080 - c**5/180 - c**4/72 + 4*c**3/3 - 2. Let v(h) be the third derivative of p(h). Suppose v(x) = 0. What is x? -1 Let n be (1 + 1)/(4/6). Factor 0*c + 0 + 1/2*c**4 + 0*c**2 + 1/2*c**n. c**3*(c + 1)/2 Factor 4/3*m + m**3 + 8/3 - 10/3*m**2. (m - 2)**2*(3*m + 2)/3 Let j be 0/((-3)/(-6)*2). Let m be (-1 - 2/(-4))*j. Factor -1/3*x**2 + 0*x + m. -x**2/3 Let t = -2 + 5. Let 7*j**2 + t - 10*j**2 - 19*j**2 - 18*j + 1 = 0. Calculate j. -1, 2/11 Let w = -3 - -11. Let y = w + -6. Solve -15*s**2 + 7*s**y + 8*s**4 + 2*s - s**3 - 4*s**3 + 3*s**3 = 0. -1, 0, 1/4, 1 Let z be ((-1)/10)/(9 + (-190)/20). What is i in z*i**4 + 0 - 2/5*i**3 + 1/5*i**2 + 0*i = 0? 0, 1 Suppose 0*c + 3*c = 0. Suppose -2*l + l + 10 = c. Find v, given that -5*v**5 - 4*v - 3*v**4 + l*v**2 - 7*v**4 + 18*v**3 - 9*v**5 = 0. -1, 0, 2/7, 1 Let n = 25148/8775 - 1676/675. Let i = 2/117 + n. Factor 12/5*q**2 + i + 8/5*q**3 + 2/5*q**4 + 8/5*q. 2*(q + 1)**4/5 Let h = -24 - -36. Factor 0 - 1 - 12*k**3 - 3*k**4 + 1 - h*k**2. -3*k**2*(k + 2)**2 Let -2/3 - 8/3*x**2 - 10/3*x = 0. What is x? -1, -1/4 Factor 0 + 6*l - 6/5*l**2. -6*l*(l - 5)/5 Let m(x) be the first derivative of -x**8/1176 - x**7/735 + x**2/2 + 1. Let k(r) be the second derivative of m(r). Determine u so that k(u) = 0. -1, 0 Let k be 6/((-9)/(-3))*(1 + 0). Factor 1/2*j**3 + 1/2*j**5 + 3/2*j**k - 3/2*j**4 + 0 - j. j*(j - 2)*(j - 1)**2*(j + 1)/2 Factor 0 - 2/3*u**2 - 2/3*u. -2*u*(u + 1)/3 Let i(j) = 2*j**3 + 31*j**2 + 98*j - 3. Let s(q) = 2*q**3 + 32*q**2 + 98*q - 4. Let b(d) = 4*i(d) - 3*s(d). Find g such that b(g) = 0. -7, 0 Let a(w) = -7*w**3 - 9*w**2 + 7*w. Let v be (2 - 21/6)*-6. Let b(h) = -3*h + 4*h**2 - 2 + 2 + 3*h**3. Let x(d) = v*b(d) + 4*a(d). Factor x(n). -n*(n - 1)*(n + 1) Suppose 0 - 6/7*d**2 + 2/7*d**3 + 2/7*d**5 - 4/7*d + 6/7*d**4 = 0. What is d? -2, -1, 0, 1 Let x(d) = d**2 - 3*d + 1. Let g be x(2). Let j be 5/15 - g/(-3). Factor -2/5*c**4 + j*c - 2/5 + 4/5*c**2 + 0*c**3. -2*(c - 1)**2*(c + 1)**2/5 Let f(g) be the third derivative of -g**7/175 + g**6/100 + 3*g**5/50 - g**4/4 + 2*g**3/5 - 18*g**2. Factor f(r). -6*(r - 1)**3*(r + 2)/5 Solve -8 - 16*z**3 + 4*z**4 + 4*z**5 - 3*z**4 + 8*z**2 + 12*z - z**4 = 0. -2, -1, 1 Let x(d) be the first derivative of d**7/2520 + d**4/6 - d + 2. Let m(p) be the first derivative of x(p). Let n(g) be the third derivative of m(g). Factor n(r). r**2 Suppose 3*j = 5*b - 3 - 17, -b + 4 = 4*j. Let t(p) be the second derivative of 0 - p + j*p**2 - 1/10*p**5 - 1/3*p**4 - 1/3*p**3. Find a, given that t(a) = 0. -1, 0 Let t(y) be the first derivative of y**5 - 5*y**4/2 + 5*y**3/3 + 12. Determine p, given that t(p) = 0. 0, 1 Let t(v) = -v**3 + 9*v**2 + 27*v + 19. Let z(b) = 2*b**3 - 28*b**2 - 80*b - 56. Let k(j) = -8*t(j) - 3*z(j). Factor k(q). 2*(q + 2)**3 Factor -201/2*q**3 + 171/2*q**2 - 36*q + 6 - 27/2*q**5 + 117/2*q**4. -3*(q - 1)**3*(3*q - 2)**2/2 Let q(f) = f. Let u be q(5). Suppose u*b = 5 + 10. Factor 2 - 6 + 2*d + 4*d**2 + 3*d**3 - 5*d**b. -2*(d - 2)*(d - 1)*(d + 1) Let p(t) be the third derivative of 1/180*t**5 + 0 + 1/9*t**3 - 3*t**2 + 0*t - 1/24*t**4. Factor p(y). (y - 2)*(y - 1)/3 Let m(z) be the second derivative of -3*z**5/40 - z**4/4 + 3*z**3/4 - 21*z. Let m(l) = 0. Calculate l. -3, 0, 1 Let 2/5*x**3 + 6/5*x + 6/5*x**2 + 2/5 = 0. What is x? -1 Solve -20*u**2 - 3*u**3 - 14*u**2 + 22*u**2 - 6 - 15*u = 0. -2, -1 Let b(l) be the first derivative of -l**2/2 + 4. Let j(t) be the third derivative of -t**5/30 + t**4/6 - 2*t**2. Let w(g) = 2*b(g) + j(g). Solve w(k) = 0. 0, 1 Let z(q) be the third derivative of -2/15*q**3 +
{ "pile_set_name": "DM Mathematics" }
ending order. 0, 5, 23 Put 3, 4, 9, -2 in descending order. 9, 4, 3, -2 Put 5, 2/5, 0.2, 1/15, -5 in decreasing order. 5, 2/5, 0.2, 1/15, -5 Put 4, 5, -8, 2, -1 in ascending order. -8, -1, 2, 4, 5 Sort 1, -1, 210. -1, 1, 210 Sort -0.4, 15, -29, -1/3 in increasing order. -29, -0.4, -1/3, 15 Sort 6/7, -0.4, -0.1, -2/9 in descending order. 6/7, -0.1, -2/9, -0.4 Put 3, -1, 7, -3 in increasing order. -3, -1, 3, 7 Sort 0.3, 1.2, 0.5, -1/3, 1.3 in increasing order. -1/3, 0.3, 0.5, 1.2, 1.3 Sort 5, 0.4, 4, 19 in increasing order. 0.4, 4, 5, 19 Put -1, -53, 36, 3 in descending order. 36, 3, -1, -53 Put 79, -3, 1/3 in descending order. 79, 1/3, -3 Put -15, -3, 28, -4 in decreasing order. 28, -3, -4, -15 Sort 2, -5, -26, -3, 0 in descending order. 2, 0, -3, -5, -26 Put -4, -5, 3, 2, 0 in ascending order. -5, -4, 0, 2, 3 Sort 213, -0.01, -1, 0 in increasing order. -1, -0.01, 0, 213 Put -5, -4, -2, 163, 4 in descending order. 163, 4, -2, -4, -5 Put 4, -38, -3/8, -2 in increasing order. -38, -2, -3/8, 4 Sort -57, 6, -4, 4 in decreasing order. 6, 4, -4, -57 Put -3, 3, 2/11, -47 in descending order. 3, 2/11, -3, -47 Put 3, -27, -1, 27 in descending order. 27, 3, -1, -27 Sort -143, -1, 3/2, -2/9, 9/7 in descending order. 3/2, 9/7, -2/9, -1, -143 Sort 0.2, 0.06, 2/7. 0.06, 0.2, 2/7 Put -6, -62, -3, 5 in descending order. 5, -3, -6, -62 Put 257, -3, 6 in ascending order. -3, 6, 257 Put -44, -3/4, 2/7 in ascending order. -44, -3/4, 2/7 Put 2, -58, -2 in descending order. 2, -2, -58 Put -1/339, -0.4, -1, -3, 1 in descending order. 1, -1/339, -0.4, -1, -3 Put -17, 18, 3 in decreasing order. 18, 3, -17 Sort -5, 4, -91, -4. -91, -5, -4, 4 Sort -2/57, 3, -2 in decreasing order. 3, -2/57, -2 Sort -2, -18, 1. -18, -2, 1 Put 29, -3, -4, 0 in increasing order. -4, -3, 0, 29 Sort 2/7, 1, -7. -7, 2/7, 1 Sort 80, -2, -36 in descending order. 80, -2, -36 Put -3, 1, 8 in decreasing order. 8, 1, -3 Sort 3, -1, -19 in decreasing order. 3, -1, -19 Put -3, 10/33, 2 in increasing order. -3, 10/33, 2 Put 0, -1, -2/31, -5 in decreasing order. 0, -2/31, -1, -5 Sort -1/11, 2/9, -1/4, 2, 0.3 in descending order. 2, 0.3, 2/9, -1/11, -1/4 Sort -8, 1, -28, -0.4 in decreasing order. 1, -0.4, -8, -28 Sort -42, 0.1, -72. -72, -42, 0.1 Sort -3, 4, -4, 2/33 in ascending order. -4, -3, 2/33, 4 Sort 4, -5, -0.4, 215, 2/9 in descending order. 215, 4, 2/9, -0.4, -5 Sort 145/3, 5, -5 in increasing order. -5, 5, 145/3 Put 5, -18, -2 in descending order. 5, -2, -18 Put -116, 2, -1, -4 in increasing order. -116, -4, -1, 2 Sort 3, -7, 1, -3 in ascending order. -7, -3, 1, 3 Sort -1, 4, 0.4, 17, -19 in decreasing order. 17, 4, 0.4, -1, -19 Put 5, 6, 4, -4 in ascending order. -4, 4, 5, 6 Sort 2, -60, 3/4 in descending order. 2, 3/4, -60 Put -9, 4, 214, 3 in decreasing order. 214, 4, 3, -9 Sort 4, 5, -110, -2. -110, -2, 4, 5 Put -4, 41, -2, 3 in ascending order. -4, -2, 3, 41 Sort 1/6, 2, -5/3. -5/3, 1/6, 2 Sort 5, 0.16, -1, 131 in ascending order. -1, 0.16, 5, 131 Sort 1/2, 5, 21, 0.1 in decreasing order. 21, 5, 1/2, 0.1 Sort -0.03, 3/25, 4 in ascending order. -0.03, 3/25, 4 Sort 94, 7, -1, 5. -1, 5, 7, 94 Sort 11, 13, -3 in ascending order. -3, 11, 13 Sort 0, -138, 5, 4, -1. -138, -1, 0, 4, 5 Put -5, 4, 8 in increasing order. -5, 4, 8 Sort -2, -1/7, 0. -2, -1/7, 0 Put -0.4, -5, 1324 in ascending order. -5, -0.4, 1324 Sort -7/3, -4, 0.5, 1/5, -42 in ascending order. -42, -4, -7/3, 1/5, 0.5 Put 5, 4, -53 in descending order. 5, 4, -53 Sort 3, -1/40, -3 in descending order. 3, -1/40, -3 Sort 3, 5, -3, 41, 1 in decreasing order. 41, 5, 3, 1, -3 Put -5, 58, -3 in increasing order. -5, -3, 58 Sort 0, -18, -1 in descending order. 0, -1, -18 Put 0, 38, 3 in decreasing order. 38, 3, 0 Sort 2, 0, 5, -39 in descending order. 5, 2, 0, -39 Sort 4, 242, 3 in decreasing order. 242, 4, 3 Sort 2, 1, 291, 0. 0, 1, 2, 291 Put 0.6, 7, 1/5, 0.5 in descending order. 7, 0.6, 0.5, 1/5 Sort 98, 1, -38 in increasing order. -38, 1, 98 Put 0.082, -4, -3/4 in ascending order. -4, -3/4, 0.082 Put -1, 5, -16, -11 in decreasing order. 5, -1, -11, -16 Put 2, 1, -6 in decreasing order. 2, 1, -6 Sort -3/14, -1/2, 0.11, -14, -4. -14, -4, -1/2, -3/14, 0.11 Sort -2/3, 1.07, -5/14. -2/3, -5/14, 1.07 Put -5, 0.1, 9869 in decreasing order. 9869, 0.1, -5 Put 0, -3, 38 in decreasing order. 38, 0, -3 Put 4, -16, 120 in descending order. 120, 4, -16 Put -0.8, -6/7, -5 in descending order. -0.8, -6/7, -5 Put 0.1, 6, -3, 0.4 in descending order. 6, 0.4, 0.1, -3 Sort -1, -11, -7 in increasing order. -11, -7, -1 Sort 18, -4, 1. -4, 1, 18 Sort -622, 2/11, 0.3. -622, 2/11, 0.3 Sort 117, 0, 5, -5, 3 in ascending order. -5, 0, 3, 5, 117 Sort 41, -2, 0. -2, 0, 41 Sort 4, -196, 0, 1. -196, 0, 1, 4 Sort 16, 1, -3, 0. -3, 0, 1, 16 Sort 5, -4, 19. -4, 5, 19 Sort -3, -0.4, -39, 0. -39, -3, -0.4, 0 Put 0.3, -1/3, 2/9, -18, 4 in descending order. 4, 0.3, 2/9, -1/3, -18 Sort -7, -2, -0.3, 4, 2 in descending order. 4, 2, -0.3, -2, -7 Sort -1/2, 1/10, 1, -5. -5, -1/2, 1/10, 1 Sort -328, 3, -1. -328, -1, 3 Put 5, -7, 0, 2/7, -44 in decreasing order. 5, 2/7, 0, -7, -44 Put -2, 0, 11 in ascending order. -2, 0, 11 Put -4, -5, -3 in decreasing order. -3, -4, -5 Put 1544, 1/16, 0.4 in decreasing order. 1544, 0.4, 1/16 Sort 4, -40, 5 in ascending order. -40, 4, 5 Put 2, -40, 31 in descending order. 31, 2, -40 Put -5, -2, -10, 19, 3 in decreasing order. 19, 3, -2, -5, -10 Sort 14, 1, -31 in ascending order. -31, 1, 14 Sort -3, -1, -49, -2, 0.5 in decreasing order. 0.5, -1, -2, -3, -49 Sort 1, -3, -8. -8, -3, 1 Put 0.7, -4, -2, 25 in decreasing order. 25, 0.7, -2, -4 Sort 27, -2, 0, 5, 4. -2, 0, 4, 5, 27 Sort -4, 1, -55, -2, 11. -55, -4, -2, 1, 11 Sort 1/5, 2/5, -1158, -5 in decreasing order. 2/5, 1/5, -5, -1158 Sort -2/11, -4/3, -33 in ascending order. -33, -4/3, -2/11 Sort 4, 1/4, 2/5, 5 in descending order. 5, 4, 2/5, 1/4 Put -10, -3/2, 1, 5/7 in descending order. 1, 5/7, -3/2, -10 Sort -226, -3, 5, 4 in decreasing order. 5, 4, -3, -226 Put 0, -5, 8, 14 in decreasing order. 14, 8, 0, -5 Sort -1, 1/77, -4/5 in descending order. 1/77, -4/5, -1 Put 507, -4, -1 in descending order. 507, -1, -4 Put -0.5, 0.1, -9, -3 in descending order. 0.1, -0.5, -3, -9 Put 3, -0.0164, 1, 4/3 in decreasing order. 3, 4/3, 1, -0.0164 Sort -3, -4, 2, -120, 1 in descending order. 2, 1, -3, -4, -120 Put -1/2, 2, 7 in descending order. 7, 2, -1/2 Sort -3, 1, -130. -130, -3, 1 Put 206, 5, 2, -2/3 in decreasing order. 206, 5, 2, -2/3 Sort 2, -199, -3 in decreasing order. 2, -3, -199 Sort 4, 1.1, -1/2, 0.5 in ascending order. -1/2, 0.5, 1.1, 4 Sort -8, 7, -2, 4 in decreasing order. 7, 4, -2, -8 Sort 4, -3, 0, 34, 2 in decreasing order. 34, 4, 2, 0, -3 Sort 5.2, -0.3, -1 in decreasing order. 5.2, -0.3, -1 Sort 0, 18, -3, -4, -5 in decreasing order. 18, 0, -3, -4, -5 Sort 67, 0, -3. -3, 0, 67 Sort -1, 1, -2/109, 0. -1, -2/109, 0, 1 Put 1, -0.4, 5, 21 in increasing order. -0.4, 1, 5, 21 Sort -29, 23, 1 in decreasing order. 23, 1, -29 Put -0.5, -0.01, 6 in decreasing order. 6, -0.01, -0.5 Put -2, 0.4, 37 in decreasing order. 37, 0.4, -2 Sort -0.08, 2/15, 2/71 in increasing order. -0.08, 2/71, 2/15 Sort -22, 0, 8 in descending order. 8, 0, -22 Sort 7/3, -2/7, -8 in decreasing order. 7/3, -2/7, -8 Put 13, -7, -1 in descending order. 13, -1, -7 Sort -0.5, 42, 1, 12, 3/4. -0.5, 3/4, 1, 12, 42 Sort 3, -1, -3.3, -1/2 in decreasing order. 3, -1/2, -1, -3.3 Sort -1, -3, 25, 0.2 in descending order. 25, 0.2, -1, -3 Sort -4, -12, -7 in decreasing order. -4, -7, -12 Sort -0.3, 3, 0.2818, 1/3 in increasing order. -0.3, 0.2818, 1/3, 3 Sort -0.2, -0.19, 2, -3 in increasing order. -3, -0.2, -0.19, 2 Sort 46, -0.4, 3/10 in descending order. 46, 3/10, -0.4 Sort -19, -5, -4, -0.4, 11/4 in increasing order. -19, -5, -4, -0.4, 11/4 Put 2, -5, 13 in increasing order. -5, 2, 13 Put -0.2, -2, -1, 2/19 in descending order. 2/19, -0.2, -1, -2 Put 0.192, -1, 0.1 in descending order. 0.192, 0.1, -1 Sort -7, 0, 5, -2, -4 in decreasing order. 5, 0, -2, -4, -7 Sort -3, -1/2, -19.7, -2, 1. -19.7, -3, -2, -1/2, 1 Sort 5/3, 1323/5, 3. 5/3, 3, 1323/5 Put -36, 1, 0 in decreasing order. 1, 0, -36 Put -4, -2/11, 3, -1/6, -60 in increasing order. -60, -4, -2/11, -1/6, 3 Put 1, -5, 4, 2 in ascending order. -5, 1, 2, 4 Sort -1, 0, -7, -28. -
{ "pile_set_name": "DM Mathematics" }
- 14. Let y = i - 21.7. Which is the third biggest value? (a) 5 (b) -1/3 (c) y b Let v = -4 + 5. Let k = -6 + 5. Which is the biggest value? (a) v (b) k (c) -0.1 a Let b = 8.9 + -9. Let f be (-212)/105 - (-4)/10. Let s = -9/7 - f. What is the smallest value in -5/2, s, b? -5/2 Let d = 0.14 + 1.26. What is the biggest value in -1/4, d, 1? d Let z = -200/9 + 22. Which is the second biggest value? (a) -1/6 (b) -0.2 (c) z b Let q be (3/(-20))/((-1)/4). Let t = -1.1 + 1.3. What is the third smallest value in -3, t, q? q Let u = -0.16 - -0.66. What is the smallest value in u, -1/2, -0.1? -1/2 Let q = -76/9 + 74/9. Which is the biggest value? (a) -3 (b) 4/9 (c) q b Let v(q) = -7*q + 13. Let k(y) = 3*y - 6. Let g = 5 + 0. Let w(d) = g*k(d) + 2*v(d). Let s be w(5). What is the second smallest value in s, 3, -1? s Suppose 0*r = -2*r + 10. Let i = 8 + -3. Let s = i - 7. What is the second biggest value in r, -1, s? -1 Let n = 0.036 - 0.536. Which is the second smallest value? (a) n (b) 4 (c) -0.2 (d) 5 c Let o = -98 + 99. What is the second smallest value in -0.1, 4, o, 0.5? 0.5 Let u(j) = j**2 + j + 1. Let y be u(0). Let n = -1 - y. Which is the second smallest value? (a) 0.2 (b) n (c) 2 a Let a = -2 + 3. Suppose -4*l = 5*c + 48, 2*c - 2*l + 12 = -0*l. What is the smallest value in a, c, -2/5? c Let r(h) = -2*h**2 + 14*h + 12. Let z be r(-10). Let p = z + 2621/8. Let d = 0 + 0.5. Which is the second smallest value? (a) p (b) -1 (c) d a Let h = -0.17 + 8.17. Let p = -12 + h. Which is the second biggest value? (a) p (b) 0.5 (c) -1 c Let p be ((-3)/(-2))/(14 + -2). What is the second smallest value in -2/19, -5/2, p? -2/19 Let o be 45/75 + (-28)/30. What is the smallest value in o, -1/2, 11? -1/2 Let l = 306/11 + -5836/209. Let m = -0.04 - -0.44. Let k be (-2 + (-6)/(-5))*-1. Which is the second smallest value? (a) l (b) m (c) k b Let g be ((-105)/(-20))/((-3)/(-8)). Suppose -g = 6*x + 4. What is the second biggest value in -1, -2/19, x? -1 Let p = 9.23 - 10. Let s = p - -0.07. Let v = s - -4.7. Which is the second biggest value? (a) v (b) 1 (c) 3 c Let y(w) = -3*w + 4. Let p be y(2). Which is the third biggest value? (a) 1.8 (b) p (c) -1/3 b Let y = 3.004 - -0.036. Let s = y - 0.04. Which is the second biggest value? (a) -1 (b) -2/7 (c) s b Let v = -16.5 + 16. What is the third smallest value in 3/4, -1, v? 3/4 Let m = -0.03 - 2.97. Let o = -19 + 21. What is the third smallest value in 3, m, o? 3 Let r be 13/(-3) + (3 - 2)/3. Let x = 0.4 + 0.1. Which is the third smallest value? (a) x (b) r (c) 1 c Let g = -97/4 - -473/20. What is the third smallest value in g, -0.2, 0? 0 Let z = 0.4 - 0.6. Let y = -6.6 + 6. Let d = y + 0.2. Which is the second smallest value? (a) d (b) 2 (c) z c Let k = 69.04 + -67. Let l = 0.04 - k. Let t = 5 + -5.3. Which is the third biggest value? (a) -0.2 (b) t (c) l c Let p = 409 - 412.86. Let r = -0.14 + p. Which is the third biggest value? (a) 3 (b) 5 (c) r c Let g be 2/(-6)*(-3)/(-7). Let t = 5 + -4.6. Let r = 0.4 - t. Which is the second biggest value? (a) g (b) -2 (c) r a Let m = -0.5 + 2. Let z = m - 0.5. Let p = -9 + 13. What is the third smallest value in z, -2, p? p Let n = -2.8 + 0.8. Which is the third smallest value? (a) -1/7 (b) n (c) 2 c Let n be ((-8)/90)/((-4)/10). Let v = 1.05 - 0.05. Let k = v + -1. Which is the second biggest value? (a) k (b) n (c) -4 a Let v = -19 + 19. What is the fourth biggest value in -0.1, 1, v, 3? -0.1 Let h = -39 - -116/3. Which is the biggest value? (a) -1/2 (b) 12 (c) h b Let l be 31/42 + 4/(-24). What is the biggest value in l, -0.5, -2? l Let y = -1 + -2. Let u be y*((-12)/15)/(-4). Which is the third smallest value? (a) 3/2 (b) u (c) 0.5 a Let w be 7/(-8) - (-1 + 0). Which is the third biggest value? (a) -2 (b) w (c) -2/3 a Let x = -0.3 + 0. Let r be (3 + 5/(-2))*2. What is the biggest value in 3, x, r? 3 Suppose -5*q + 2 = -8. Suppose 4*b + q = -2. What is the second smallest value in 4, 1/4, b? 1/4 Let x be 35/15 - (-6)/9. Which is the second biggest value? (a) -3 (b) -2 (c) x b Let n = 0.55 + -2.59. Let m = -0.04 - n. Let r = -65 + 197/3. Which is the third smallest value? (a) r (b) 5/2 (c) m b Let j = 10 + -12. What is the smallest value in 0, -0.1, -10/7, j? j Let k be 2/(-10) - (-6)/5. Suppose -k + 4 = -i. Let o(n) = -2*n - 15. Let m be o(-5). Which is the third biggest value? (a) i (b) m (c) 0.1 b Let w = -14/17 + 45/34. Which is the second smallest value? (a) w (b) -3/4 (c) 6 (d) 0.1 d Let j = -10 + 10.044. What is the third smallest value in j, -2, -0.4? j Let x = -12.71 + -0.29. Let o = x + 12.7. Which is the smallest value? (a) o (b) -0.1 (c) -3 c Let z = -0.25 + -0.05. Let i = 1 + -1.9. Let y = i - -1.3. Which is the second biggest value? (a) z (b) -0.1 (c) y b Let y = 0.04 + -2.04. Let r = y + 1.6. Let l be (-2 - 1) + 3/1. Which is the third smallest value? (a) r (b) l (c) -5 b Let n = 1 + -1. Let p = -38.1 + 43.23. Let l = p + -0.13. Which is the second smallest value? (a) l (b) n (c) -2 b Suppose 97*z + 14 = 90*z. Let f = 0 - 0. Let w be 5/(-3) - 4/(-6). What is the second smallest value in f, z, w? w Let q be 36/(-15) - (-4)/10. Let d be -1 + q + (-6 - -5). Which is the biggest value? (a) d (b) 1/5 (c) 0.3 c Let x be (1/(-19))/(4/8). Which is the second smallest value? (a) x (b) -0.5 (c) -3 b Let j = 125/12 - 41/4. What is the second smallest value in 0, j, -2? 0 Suppose -v = 4, 5*v + 0 = 5*z + 5. Which is the third biggest value? (a) z (b) 3 (c) 4 (d) -2 d Let m = 3 + -9. Let k = 6.3 + m. Let y = -3 - -2. Which is the third smallest value? (a) -3 (b) y (c) k c Let f = 0.09 + -0.59. Let m = -2 + 1. What is the second smallest value in -0.4, m, f? f Suppose -7 - 8 = -3*p. What is the third smallest value in p, 0, 0.4? p Suppose -2*q = q - 6. Suppose 0 = -0*j - q*j. Let d = -87 + 438/5. Which is the third smallest value? (a) j (b) 0.2 (c) d c Let q = 3/4 - 5/8. What is the second smallest value in q, -2, 2/11? q Let f = 2.5 + -3. Let n be (-95)/(-14) + (-2)/7. Let m = 115/18 - n. Which is the third smallest value? (a) 1 (b) f (c) m a Let v = 8/21 + -79/42. What is the biggest value in 1/7, v, -5? 1/7 Let q(w) = -w**2 + 5*w + 2. Let d be q(6). Let g be 35/d + 2/(-8). Let p = -13 - g. Which is the biggest value? (a) 2 (b) p (c) 0.1 a Let j = -0.08 - -0.28. What is the second smallest value in j, 12, 0? j Let w = -2.1 + 2.5. What is the smallest value in 0.04, w, 5? 0.04 Let y = -0.09 + -1.91. Let z = -7 - y. Which is the third biggest value? (a) 0.3 (b) -2/7 (c) z c Let x = 24.9 - 25. Suppose 2*l + 7 = -5*h, l + 22 = 5*l - 2*h. What is the smallest value in l, -3, x? -3 Let h = 0.23 + -0.46. Let g = h - -0.13. Let x = -1608/15637 - 2/823. Which is the biggest value? (a) x (b) 1/4 (c) g b Let n = 2 + 0. Let q(r) = r**2 - 8*r - 3. Let x be q(7). Let l be 15/18*(-2)/x. What is the second biggest value in 3/5, l, n? 3/5 Let x = -2.2 - -2. Which is the third biggest value? (a) -0.4 (b) -1/2 (c) x b Let o = -4 + 8. Suppose 4*q = 4*m + m + 24, -4 = -o*q. Which is the biggest value? (a) 0 (b) m (c) -1 a Let m = 0.12 + -0.62. Which is the smallest value? (a) 2/3 (b) m (c) 4 (d) -8 d Let o(y) = 8*y + 0 + 3*y**2 - 11*y**2 - 6 + y**3. Let q be o(7). Which is the second biggest value? (a) -1/4 (b) -0.2 (c) q b Let y(d) = 4*d**3 - 2*d - 1. Let z be y(-1). Let b = 20 + -21. What is the smallest value in 1.2, z, b? z Let t = 35 + -39. Which is the third smallest value? (a) 2/11 (b) -0.3 (c) t a Let k = -9.8 + 10. Let n be 3/(-14)*20/(-15). Which is the second smallest value? (a) 4 (b) k (c) n c Let i = 0.04 - 0.09. Let x = -0.55 - i. Let s = 445/4 - 112. Which is the second smallest value? (a) -1/3 (b) s (c) x c Suppose -12 = 4*r + 24. Let i = r + 6. Let w be ((-3)/(-12))/(i/(-18)). Which is the biggest value? (a) w (b) 4 (c) 3 b Let r = 0.2 + -0.1. Let u = r - 3.1. Let p = 0.088 + -0.108. Which is the third biggest value? (a) u (b) -2/17 (c) p a Let i = -0.6 - -1. Which is the third biggest value? (a) i (b) 4 (c) -2 c Let v = -29 - -29. Which is the third biggest value? (a) v (b) 1 (c) -0.1 c Let t = -0.1 + -0.5. Let j = 0.3 + t.
{ "pile_set_name": "DM Mathematics" }
pose 2*g = 5*l + 350, -2*l = l - 3*g + 210. Let r be ((-56)/l)/((-1)/(-10)). Solve 5*c + r = 3 for c. -1 Let f(v) = -v**2 + v + 2. Let h be f(5). Let d be (0 - h/(-2))*-1. Let z = -81 + 83. Solve -z*n - d = -1 for n. -4 Suppose 0*h = h - w - 16, -18 = -2*h - 5*w. Solve 7*v - h + 35 = 0 for v. -3 Let b(u) = -u**3 + 2*u**2 + 5*u - 2. Let v be b(2). Let k be 20/v + 1/2. Suppose 0 = -2*t + k*t - 16. Solve -3*w - w - t = 0 for w. -4 Let k be 1674/(-124)*8/(-6). Solve 0 = -4*u - 6 + k for u. 3 Let v(w) = w**3 + 14*w**2 + w + 29. Let k(f) = -f**3 - 14*f**2 - f - 30. Let l(n) = 3*k(n) + 4*v(n). Let t be l(-14). Solve -2*c + 6*c = -t for c. -3 Let h(g) = g**2 + 2*g - 6. Let c be h(-4). Suppose -2*a = -28 + 4. Suppose -2*v = 3*o + o - a, -18 = -3*o + 3*v. Solve -r + c*r - o = 0 for r. 4 Let k(a) = a**3 + 25*a**2 - 3*a - 71. Let f be k(-25). Let y = -19 - -47. Suppose y = x + 3*x. Solve -13 = -f*j + x for j. 5 Let w(x) = -x**2 + 5*x + 19. Let v be w(7). Solve 0 = -v*f - 5*f + 50 for f. 5 Suppose -2*f - 3*o + 32 = -7*o, -f + 22 = 4*o. Suppose -5 = k, 1 = 4*a - 3*k - 26. Suppose -l - a*j - f = j, 0 = -2*l + 2*j + 14. Solve 6*v = l*v for v. 0 Let z = -44 - -59. Suppose 3*i = z + 9. Solve -i*y + 3*y = -5 for y. 1 Suppose -5*v - 28 = 3*s - 2*s, 4*s + 16 = -4*v. Let m = v + 8. Solve -2*d - 6 = -m for d. -2 Let q = 18 + -6. Let g(r) = -r**3 - 6*r**2 + 9*r + 3. Let u be g(-7). Let n = q + u. Solve 3*f - n = -16 for f. -5 Let p = -2767 + 2767. Let y(r) = -r**2 + 4*r + 2. Suppose 0*f - 4 = 4*f - 4*w, -f - 4*w + 24 = 0. Let d be y(f). Solve p = d*m - 5*m for m. 0 Let h = -93 + 101. Suppose -m + h = m. Solve -m*f + 1 = -5*f for f. -1 Suppose -9 = -5*l + 6. Suppose 14 = 2*g - 2*f, -2*g - 15 = l*g + 5*f. Solve -2*r = g*r + 16 for r. -4 Suppose -x - x = 3*v - 37, -3*v - 5*x + 43 = 0. Let u be (-1 + 1)*11/v. Suppose u*q = 2*q. Solve 6*b - b = q for b. 0 Suppose -32*x = -5*n - 33*x + 1, 5*n + 3*x - 3 = 0. Solve 5*j - j + 4 = n for j. -1 Suppose -6*m + m = 35. Let r(n) = -n**2 - 13*n - 7. Let s be r(m). Let k be (-6)/5*s/(-14). Solve -3 = k*p + 6 for p. -3 Suppose -3*g + 2 + 7 = 0. Suppose -4*w - 3*k - 1 = -4*k, 3*k = 4*w + g. Solve 0 = 4*r - w*r - 12 for r. 3 Let f(v) = -v**3 - 13*v**2 - 37*v + 2. Let k be f(-9). Solve -c + 9 = k for c. -2 Let r(p) = -p**2 - 9*p + 27. Let g be r(-11). Let t be 8/3 + 2/(-3). Suppose -27 = -3*b - 3*m, 2*m = 6 + t. Solve 5*o = g + b for o. 2 Let b(z) = -21*z**3 - 2*z**2 - 2*z - 1. Let u be b(-1). Suppose 2*s = s - 3*p + u, -3*s = -p - 10. Solve -s*g - 2 + 7 = 0 for g. 1 Let r = 117 - 105. Solve -r = -4*h + 8 for h. 5 Let d(f) be the second derivative of -f**5/20 + f**4/2 + f**3 + 4*f**2 - 23*f. Let q be d(7). Solve -3 = -2*b + q for b. 2 Let y = 71 - 58. Let k = 15 - y. Solve -q = k*q - 12 for q. 4 Suppose -6*s = s + 735. Let c = s + 105. Solve c*b - 4 = 2*b for b. -2 Let u(q) = -q**3 + 19*q**2 - 35*q + 25. Let f be u(17). Suppose -f*m = -87 - 65. Solve 3 - m = -4*v for v. 4 Let g(n) = -n**2 + 13*n - 34. Let r be ((5 - 0) + -4)/(2/14). Let d be g(r). Solve k = 3*k + d for k. -4 Let v(p) = 2*p - 17. Let a be v(8). Let q be (4 + a)*8/6. Solve m = q*m - 3 for m. 1 Let a = 312 + -302. Solve a*m - 18 = m for m. 2 Let c(y) = -y**3 - 9*y**2 - 18*y + 3. Let h be c(-6). Solve x = 2 - h for x. -1 Let u be -51*(-4)/12 + 0. Suppose 0 = -3*a + 5*j + 37, 2*j + u = 3*a + j. Solve a*q + 0*q = 16 for q. 4 Suppose 0 = 4*k - 3*h - 10, 18 = 2*k + 2*k + h. Let d = -10 + 2. Let q(u) = -u**3 - 8*u**2 - u - 5. Let o be q(d). Solve 5*v + o = k*v for v. -3 Let z(u) be the first derivative of 2*u**2 - 19*u + 10. Let c be z(5). Solve -3*g = -c - 2 for g. 1 Let s(t) = t**3 - 51*t**2 - 103*t - 155. Let b be s(53). Let x = -10 - -25. Solve b*a = a - x for a. -5 Let k = -222 + 240. Solve 2 + k = 10*r for r. 2 Let c(k) = -k**3 + 8*k**2 + k - 3. Let f be c(8). Suppose 0 = -4*v - 5*g + 6, 4*v + g = f*g + 24. Solve -v*u + 0 = 12 for u. -3 Let o(h) = h + 169 - 169. Let f be o(9). Solve -2*k - f = -3 for k. -3 Let k be 6/(-15) + 48/20. Suppose 0 = k*x - 5*x - 24. Let w be 0/(x/(-2 - 2)). Solve 6*y - 3*y = w for y. 0 Suppose g = 2*b + 17, 3 = b + 5*g - 16. Let w be (5/b)/(1/(-6)). Suppose 5*x = -4*j + 12, -w*x = -0*x. Solve j*h + 6 = -6 for h. -4 Let p = 1614 + -1612. Suppose 4*z - 3*z + 5 = 2*j, 5*j - 17 = z. Solve 2*o = -p + j for o. 1 Let y(q) = -12*q**2 + 7*q + 3 + 9*q**2 + 2*q**2. Suppose 8*t = 5*t + 9, -13 = -k - 2*t. Let v be y(k). Solve -l = v*l + 16 for l. -4 Let n(g) = 4*g**2 + 13*g - 6. Let b(w) = -5*w**2 - 14*w + 7. Let r(h) = 5*b(h) + 6*n(h). Let l be r(5). Let m be -1 + 7*1 - 0. Solve -4*f = -l - m for f. 5 Suppose 0 = 2*i - 2*w - 372 + 24, 5*i - 2*w = 879. Solve 7*t - i = -184 for t. -1 Let v = -6 + 9. Suppose 2*s = 4*h + 10, -v*h = s + s - 10. Suppose 7 = 83*k - 159. Solve h*q - k*q = 2 for q. -1 Let r = 35 - 27. Let h = 19 - r. Suppose -h*v = -7*v. Solve -q + 0*q = v for q. 0 Let q(w) = -80*w**2 + 20 - 10*w + 152*w**2 - 71*w**2. Let k be q(10). Solve 5*y + k = y for y. -5 Let m = 66 - 10. Let z = 58 - m. Solve 0 = a + z*a - 6 for a. 2 Suppose 2*r - 5 + 22 = s, -3*s - 5*r + 7 = 0. Solve -40 = s*u + u for u. -4 Let t(b) = b**2 - 17*b + 45. Let y be t(14). Suppose 0 = 5*x + 4*z + 17 - 62, 3*x + y*z = 30. Solve 1 + x = -3*q for q. -2 Let q(v) = -v**3 + 11*v**2 - 11*v + 7. Let k be q(10). Let n(r) = -5*r - 15. Let f be n(k). Solve f = 2*w - 0*w - 6 for w. 3 Let k be (-615)/(-55) - -2 - (-8)/(-44). Solve -k*z + 14*z = -3 for z. -3 Suppose 3*j = -5*f + 8, 2*f = -2*f + 2*j + 2. Suppose -20*o = -19*o - f. Solve m + 4 = -o for m. -5 Suppose -4*n = i - 13, 5*i = -23*n + 21*n + 11. Solve 50*m - n = 51*m for m. -3 Let o be ((-69)/(-15) - -1)/(2/5). Let b be (6/(-4))/((-7)/o)*1. Solve 3*q - b - 9 = 0 for q. 4 Suppose -126 = 78*b - 96*b. Solve -4 = -b*u + 8*u for u. -4 Let p be 9*(0 - 1/(-3)). Suppose 6*r = 7 + 23. Suppose -2*s - 5*m - 16 = 0, -5 = s + 2*m + 1. Solve p = -s*u + r for u. 1 Suppose 2*i - f = 132, -i + 4*f = -f - 75. Let y = 66 - i. Solve -4*g + y = 5 for g. -1 Suppose y - 14 = -5*w + 18, 0 = -4*w + 16. Solve -i = -y*i + 33 for i. 3 Suppose 26*v - 31*v + 30 = 0. Suppose -2*b - 5*j = -v*j - 6, -3*j - 13 = -5*b. Solve b*l + 0 = 10 for l. 2 Suppose -5*t + 7 = -13. Suppose -5*i = 4*w + w - 20, -t*w + 4 = 0. Suppose x = -i*x. Solve x = 2*j + 2*j - 12 for j. 3 Let u = 1 - -1. Let o(s) = s**2 - 27*s + 4. Let z be o(27). Suppose 0 = -4*h - a - z*a + 9, -5*h = a - 27. Solve u*q = 2 + h for q. 4 Let a(m) = m**3 - 19*m**2 + 19*m - 8. Let x be a(18). Solve -x*t = -0*t - 10 for t. 1 Let k(c) = 3*c**2 + c - 2. Let i = -15 + 33. Let t = i - 17. Let o be k(t). Solve -16 = 6*y - o*y for y. -4 Let o = -11 + -2. Let w(p) = p + 21. Let u be w(o). Solve 4 + u = 4*a for a. 3 Let g be (-4)/7 - (-763)/49. Let k be g*((-28)/12)/(-7). Solve 0 = -3*j + 8*j - k for j. 1 Let l(u) = -u**2 - u + 6. Let g be l(0). Let s = -8 + 8. Let o = 179 - 176. Solve -o*w = -s*w + g for w. -2 Suppose -5*v - 4 = 2*y, -5*y + 5*v = 6*v - 36. Solve 0*j - 2*j = -y*j for j. 0 Let q = -26 - -26. Suppose q*k - 3*k - 17 = -5*y, 5*k = 5. Let r(v) = v**2 - 5*v + 5. Let s be r(5). Solve 0 = y*u + 17 - s for u. -3 Let t be (-7)/35 + ((-18)/(-15) - 1). Let y be 1/4 + (-1)/4. Suppose -5*h + 10*h = y. Solve h = -3*c - t + 3 for c. 1 Let c be (-5 + 3)*(3 + -3 + -1). Solve -c = q - 3 for q. 1 Let u be (6/(-5))/((-6)/40). Let x = 440 - 428. Solve u = -4*s - x for s. -5 Let x be (-207)/483 - (-2)/((-28)/(-6)). Solve x*v = -11*v for v. 0 Suppose -113 - 7 = -5*r. Suppose u + 5*u = r. Suppose -3 = u*b - 7. Solve h + b = -3 for h. -4 Let k be 70/140 - (-86)/4. Solve 6*x = k*x - 16 for x. 1 Let u be (-2)/16 - (-4462)/368. Solve -m = -4*m + u for m. 4 Let i = -394 - -396. Solve -2*y - i*y = 12 for y. -3 Let g be 1 + 53/1 - 20/(-10). Suppose l = -7*l + g. Solve -o - l + 5 = 0 for o. -2 Suppose -2*a - 3*b + 56 = -2, 0 = 3*a + 2*b - 87. Suppose -3*h + a = 11. Let s be (4/(-6))/(h/(-27)). Solve 4 = f + s*f for f. 1 Let o(s) = 3*s + 3. Suppose -2*a = -a. Let x be o(a). Let f be 4/1 - (x - 3). Solve -k + 3*k = -f for k. -2 Let t(q) = 200*q - 189*q + 2 + 3. Let u be t(1). Solve -9 = 5*j + u for j. -5 Suppose -4*l - 4*o + 0 = -8, 3*l - 9 = -2*o. Let g = -1113 + 1115. Suppose 9 = 3*y, -g*f + l*f - y = 33. Solve -3*a = a - f for a. 3 Let
{ "pile_set_name": "DM Mathematics" }
+ 77795. Determine n(-272). 3 Let o(i) = -i**2 - 280*i - 17833. Determine o(-98). 3 Let h(w) = 3*w**3 - 45*w**2 - 21*w + 81. What is h(4)? -531 Let s(c) = 107471*c - 214884. Calculate s(2). 58 Let q(r) = 196*r - 5864. Determine q(20). -1944 Let d(b) = -b**2 - 151*b - 5618. Calculate d(-72). 70 Let a(s) = -s**3 - 6*s**2 - 31*s - 35. Determine a(-7). 231 Let m(w) = -66*w + 3913. Calculate m(62). -179 Let b(r) = r**2 + 326*r + 7944. Give b(-24). 696 Let u(a) = -a**2 + 2099*a - 175044. What is u(87)? 0 Let p(a) = -124929*a - 249848. Calculate p(-2). 10 Let c(n) = 41*n**2 - 290*n + 16. What is c(7)? -5 Let s(h) = -7*h**3 + 766*h**2 + 442*h - 230. Calculate s(110). -10 Let w(l) = l**3 - 633*l**2 - 19111*l - 57604. What is w(662)? -10 Let z(h) = 5*h**3 - 61*h**2 - 104*h + 1405. Calculate z(12). 13 Let m(r) = -6*r**2 - 1850*r - 72430. Determine m(-46). -26 Let x(i) = -532975*i + 22917929. Determine x(43). 4 Let o(d) = d**3 + 34*d**2 + 400*d + 6303. Give o(-28). -193 Let r(o) = -148287*o + 1482841. Calculate r(10). -29 Let y(d) = 3*d**2 + 66*d - 7723. Calculate y(-63). 26 Let t(n) = 16*n**3 + 50*n**2 - 669*n - 2028. Calculate t(-3). -3 Let k(j) = j**3 + 31*j**2 + 68*j - 355. What is k(-30)? -1495 Let u(y) = 20*y**3 - 2265*y**2 + 555*y + 1104. Determine u(113). -26 Let o(m) = 10*m**2 - 5004*m + 19855. Determine o(4). -1 Let b(w) = -w**3 + 61*w**2 + 43*w - 7501. Give b(59). 1998 Let b(y) = y**3 - 68*y**2 + 117*y + 1189. Calculate b(66). 199 Let k(o) = 427*o + 18518. Determine k(-47). -1551 Let b(x) = 4*x**3 + 49*x**2 + 208*x + 2877. Calculate b(-14). -1407 Let j(u) = -u**3 + 912*u**2 - 17855*u - 5. Determine j(20). -305 Let o(t) = -t**2 + 381*t + 2731. Calculate o(-7). 15 Let r(f) = -7544*f + 301624. Calculate r(40). -136 Let m(o) = -1535*o + 1461. Give m(1). -74 Let q(n) = -n**3 + 196*n**2 - 217*n + 4289. Determine q(195). -1 Let x(m) = 565*m**2 - 39549*m - 67. Give x(70). 3 Let y(l) = -15*l**2 + 4687*l - 263379. Give y(239). -1 Let w(q) = q**3 + 6*q**2 - 15159*q + 4652. Determine w(120). -28 Let r(m) = 3471*m - 1919467. Calculate r(553). -4 Let u(v) = 1699*v + 348696. Give u(-205). 401 Let c(r) = 3047*r + 338198. Determine c(-111). -19 Let z(i) = 119*i + 2328. Determine z(-24). -528 Let v(h) = -16*h**2 + 18*h - 63. Determine v(-9). -1521 Let y(c) = 3*c**3 - 82*c**2 - 64*c - 359. Give y(28). -583 Let w(b) = 2525*b + 494891. What is w(-196)? -9 Let r(n) = -9*n**2 + 533*n - 3411. Calculate r(52). -31 Let l(k) = -4*k**2 - 421*k - 1658. Give l(-4). -38 Let t(g) = -g**3 - 9*g**2 + 112*g - 207. Give t(-19). 1275 Let c(o) = 98*o - 237. Determine c(-16). -1805 Let n(z) = -6*z**3 - 45*z**2 - 17*z + 15. Determine n(-5). -275 Let z(l) = -l**3 - 78*l**2 - 711*l + 227. Calculate z(-11). -59 Let g(x) = 20*x**3 - 7*x**2 + 41*x - 34. Calculate g(1). 20 Let f(h) = -2*h**2 + 14027*h - 7192530. Determine f(557). 11 Let h(k) = k**3 - 117*k**2 - 7710*k + 421. What is h(164)? 93 Let v(u) = -u**3 + 253*u**2 + 743*u + 6377. Determine v(256). -23 Let r(h) = -3*h**2 - 46*h + 7647. Calculate r(-76). -6185 Let v(j) = 5430*j - 59284. Determine v(11). 446 Let s(p) = p**3 + 68*p**2 + 816*p + 55483. Calculate s(-68). -5 Let f(s) = -2*s**2 + 846*s - 28551. Determine f(37). 13 Let y(h) = -4962*h - 253037. What is y(-51)? 25 Let k(v) = 2271*v + 6673. Determine k(-3). -140 Let j(x) = x**3 + 41*x**2 - 156*x - 3014. Calculate j(-43). -4 Let u(n) = 2073*n + 101388. Calculate u(-49). -189 Let r(l) = 6*l**3 + 183*l**2 - 147*l - 36. Give r(1). 6 Let s(h) = 2*h**3 + 36*h**2 + 17*h - 10. Give s(-18). -316 Let u(i) = 2*i**3 + 36*i**2 + 98*i + 830. Give u(-17). -258 Let k(q) = 2*q**2 - 249*q + 5420. Determine k(80). -1700 Let l(i) = -108724*i - 326177. Give l(-3). -5 Let p(k) = 5180*k - 202169. Calculate p(39). -149 Let w(d) = -4*d**2 + 52061*d + 520990. What is w(-10)? -20 Let c(w) = -2*w**3 - 20*w**2 - 227*w - 1930. Calculate c(-9). -49 Let k(m) = 2*m**2 + 140*m - 19191. Give k(-139). -9 Let x(j) = j**3 + 5*j**2 + 6510*j - 59733. Give x(9). -9 Let y(x) = 343*x - 42351. Determine y(115). -2906 Let x(r) = -26*r**2 + 2016*r - 16028. Calculate x(8). -1564 Let p(v) = -787*v**2 + 6470*v - 1388. Determine p(8). 4 Let z(g) = -16*g**2 + 2284*g + 11404. What is z(-5)? -416 Let k(v) = v**2 + 42*v + 174. Give k(-28). -218 Let m(s) = 6*s**2 - 1423*s + 4239. Determine m(3). 24 Let m(j) = -7420*j + 4036478. Calculate m(544). -2 Let b(z) = -515462*z + 7731939. Calculate b(15). 9 Let d(p) = 4241315*p - 72102348. Determine d(17). 7 Let s(h) = -133*h**2 - 6521*h - 220. Calculate s(-49). -24 Let p(q) = q**3 - 21*q**2 + 45*q - 1570. Calculate p(24). 1238 Let o(x) = -382*x**2 - 212*x - 220. Calculate o(-1). -390 Let y(m) = m**3 + 240*m**2 + 9715*m - 11478. Calculate y(-188). -10 Let l(z) = -13*z**2 + 102*z. Calculate l(4). 200 Let q(m) = -m**3 + 61*m**2 - 765*m - 327. Give q(43). 60 Let v(b) = 2*b**2 + 4656*b + 441352. Give v(-99). 10 Let a(x) = -76*x**2 + 319*x + 353. What is a(5)? 48 Let c(o) = -o**2 - 131*o + 14216. Determine c(70). 146 Let h(b) = -63*b**2 + 8503*b - 8179. What is h(134)? -5 Let r(a) = a**2 - 4346*a + 494794. Give r(117). 1 Let w(c) = -8*c**2 + 360*c - 2846. Give w(37). -478 Let j(w) = 2*w**3 + 134*w**2 + 1129*w - 103. Calculate j(-10). 7 Let g(u) = u**3 - 116*u**2 - 238*u + 389. Calculate g(118). 153 Let c(p) = 6*p**2 - 2087*p - 4184. Calculate c(-2). 14 Let z(n) = 2*n**3 - 111*n**2 - 3415*n - 95. What is z(-22)? 15 Let w(z) = z**3 + 13*z**2 - 309*z + 377. Determine w(11). -118 Let x(v) = -v**3 - 240*v**2 - 3380*v + 9. Determine x(-15). 84 Let s(c) = -19508*c + 117036. Give s(6). -12 Let z(x) = -36169*x - 1482918. What is z(-41)? 11 Let c(j) = -11*j**2 - 23322*j - 1535030. Calculate c(-68). 2 Let d(y) = -73661*y - 73399. Calculate d(-1). 262 Let x(s) = 1167*s + 25768. Determine x(-22). 94 Let w(x) = -412*x - 12022. Determine w(-28). -486 Let a(p) = 1645*p - 17191. Give a(10). -741 Let m(u) = -u**3 - 47*u**2 - 383*u + 1090. What is m(-14)? -16 Let q(r) = 102*r - 9115. Determine q(90). 65 Let c(u) = 2*u**3 - 58*u**2 + 292*u - 8510. Give c(29). -42 Let s(m) = m**2 - 8*m - 46345. Determine s(-211). -136 Let u(c) = -6913*c - 34573. Determine u(-5). -8 Let t(y) = 2364*y - 330920. Determine t(140). 40 Let o(q) = -q**3 + 62*q**2 - 598*q + 30. Give o(50). 130 Let y(s) = 838*s - 436655. Give y(521). -57 Let b(u) = -106*u**2 + u - 725. What is b(5)? -3370 Let d(r) = -2*r**3 - 116*r**2 - 98*r + 914. What is d(-57)? 2 Let n(z) = z**3 + 385*z**2 + 4346*z + 223490. Determine n(-375). -10 Let k(w) = -908801*w + 4544028. Give k(5). 23 Let u(l) = 195*l + 1160. What is u(-7)? -205 Let o(h) = h**3 + 171*h**2 + 455*h - 8373. What is o(-168)? -141 Let x(r) = 1667*r - 190035. Give x(114). 3 Let x(d) = -17*d**3 - 69*d**2 - 330*d - 12. Give x(-5). 2038 Let j(q) = -q**2 + 92*q + 4743. Calculate j(-41). -710 Let u(f) = 2*f**3 + 88*f**2 + 129*f - 1651. What is u(-42)? -13 Let w(a) = a**3 + 13*a**2 - 84*a + 106. Give w(4). 42 Let w(z) = -2*z**3 + 36*z**2 + 602*z - 6105. Give w(8). -9 Let t(u) = -97940*u - 3917608. Give t(-40). -8 Let r(p) = 3*p**2 - 431*p + 4255. Determine r(133). -1 Let b(h) = -1757*h + 425174. Give b(242). -20 Let v(g) = -455*g**2 + 16376*g + 149. Determine v(36). 5 Let r(w) = -223*w - 22177. Give r(-109). 2130 Let d(t) = 8673*t - 295052. Calculate d(34). -170 Let v(y) = -y**3 + 74*y**2 - 455*y + 3151. What is v(68)? -45 Let a(w) = -1982*w + 8123. Determine a(4). 195 Let h(r) = -2*r**3 + 22*r**2 + 468*r - 8258. Calculate h(17). -3770 Let k(v) = -190*v**2 + 1138*v + 37. Determine k(6). 25 Let l(b) = -2*b**3 + 62*b**2 + 54*b - 1556. Determine l(32). -1876 Let h(o) = -225272*o + 901112. Determine h(4). 24 Let a(x) = 121*x - 8008. What is a(65)? -143 Let n(f) = 8*f**2 - 190*f + 134. Give n(32). 2246 Let z(u) = -929*u**2 + 14913*u - 803. Give z(16). -19 Let q(z) = -z**3 - 145*z**2 - 8159*z + 64555. Determine q(7). -6 Let s(t) = 33*t - 2819. Determine s(75). -344 Let j(p) = -2*p**2 - 408*p - 3171. Give j(-196). -35 Let c(x) = 2*x**2 - 194*x - 3922. What is c(-20)? 758 Let d(r) = 11*r**2 + 13281*r - 106954. Give d(8). -2 Let f(u) = -13*u**2 + 3205*u - 14270. Give f(242). 8 Let n(i) = 5*i**2 + 341*i - 615. Give n(-70). 15 Let v(j) = -631*j - 70734. Calculate v(-112). -62 Let u(a) = a**3 - 2*a**2 + 37*a - 47.
{ "pile_set_name": "DM Mathematics" }
ch is the third biggest value? (a) y (b) 0 (c) z c Let i = 7.3 + -7. Let g = -0.8 + i. What is the second smallest value in g, 2/9, -1? g Let q be (9/(-8))/((-6)/(-4)). Which is the third smallest value? (a) q (b) -2 (c) -6 a Let y = -38/9 + 400/99. Let u = 3 - 6. Which is the third smallest value? (a) y (b) 0 (c) u b Let g be (((-184)/96)/23)/((-2)/6). What is the second smallest value in 0, g, 0.3? g Let a be (5/(-2))/((-2)/4). Suppose 2*z + 2*v = -2*z + 8, 10 = a*z + 3*v. Let l be (-4)/6 - (z + -1). What is the third biggest value in -3/5, 0.2, l? l Let a be -5 + 4 - (2 + 1). Let b be 2 + 6/(-4) - 0. What is the smallest value in -3, b, a? a Let k = 48.88 - -0.12. Let u = k + -53.1. Let f = u + -0.9. Which is the second biggest value? (a) -2/3 (b) 1/4 (c) f a Let s = -37 - -39. Let x be (0 - -1)/((-2)/4). Let p = s + x. Which is the biggest value? (a) -4 (b) -5 (c) p c Let t = 12 + -8. Let y = -2.639 + -0.371. Let l = 0.01 + y. What is the third smallest value in t, l, 1/7? t Suppose 0 = -g + 9*v - 5*v + 18, -2*g + 4*v = -28. Let f = 10 + -5. What is the biggest value in -0.1, g, f? g Let n(q) = q + 1. Let x be n(-2). Let j be 730/(-14) + -2 + 2. Let o = j + 52. Which is the second smallest value? (a) x (b) o (c) -2/5 c Let m(f) = f - 8. Let n be m(10). Suppose 0 = 2*k - 0 + n. Which is the third biggest value? (a) -4 (b) -0.1 (c) k a Let v = -24.25 + 21. Let k = 0.25 + v. What is the second smallest value in -2/3, k, -0.3? -2/3 Let u(l) = l + 11. Let i be u(-9). Let s be 1*3 - (-3 + i). Let f = -0.2 + -0.1. What is the second biggest value in f, 0.3, s? 0.3 Let z = 0.95 + -1. Let t = 3.05 + z. Which is the third biggest value? (a) t (b) -3 (c) 0.3 b Let s = -5.1 - -0.1. Let j = 6 - 5.5. What is the second biggest value in s, -2/7, j? -2/7 Let u be ((-9)/(-6))/((-2)/(-4)). Suppose -26 = u*b + 4*w, -w + 3*w + 20 = -5*b. What is the third smallest value in b, 2/13, -2/31? 2/13 Let u(o) = -o**3 - 6*o**2 + 8*o + 3. Let l be u(-7). Which is the third smallest value? (a) 7 (b) l (c) 0.4 a Let r = -1/30 + 9/70. What is the smallest value in -1/7, r, 0? -1/7 Let w = 88 + -86.6. Which is the fourth biggest value? (a) -1/2 (b) -2/7 (c) 0.5 (d) w a Let k = -127.6 - -128. What is the third biggest value in -1/4, -4, k? -4 Let f = -0.16 - -0.16. What is the second biggest value in -2, 2, f? f Let y = 33 + -30. Which is the second biggest value? (a) y (b) -3 (c) -0.1 (d) -5/3 c Suppose 0 = -4*p - 394 + 398. Which is the second smallest value? (a) p (b) 3 (c) 18 b Let t = -0.1 - -3.1. Which is the biggest value? (a) -3 (b) -0.3 (c) t c Suppose 3*r = -5*a - 3 + 2, 7 = a - 3*r. Let k = -5/4 + a. Let v be 31/18 + 4/(-18). What is the smallest value in v, k, 2/3? k Let g be (-16)/100*(-15)/(-18). Which is the second biggest value? (a) g (b) 0.4 (c) -3 a Suppose -2*i + 2 = -i - 3*p, -p + 2 = -3*i. Let o be ((-2)/18)/(i/2). Let r be (3/4)/(1/(-8)) + 3. Which is the second biggest value? (a) r (b) 0 (c) o b Let z = -0.1 - 0.1. Suppose 4*d - w - 21 = 0, -4*d + 2 = w - 9. What is the biggest value in z, d, 5? 5 Let o = -1.07 + 4.07. What is the smallest value in 4, -0.03, o, -5? -5 Let m = -73/3 + 101/3. Let n = m + -9. Let l = -0.1 + 0. Which is the third biggest value? (a) l (b) n (c) 0.5 a Suppose -4*g = 32 - 8. Let l = 7 + g. Suppose 2*w + 5 = -r, 0*w + 15 = r - 3*w. What is the second smallest value in -1, r, l? l Let t = -19979/12 + 6337/4. Let x = t - -80. Which is the smallest value? (a) 0 (b) 0.2 (c) x c Let i = -2 + 2.3. Let b = -2.3 - 2.7. What is the second biggest value in i, b, 1/5? 1/5 Suppose -5*p - 4*t = -0*t + 5, 3*t + 2 = -2*p. Let y be (2/(-6) - 0)/p. Let z = -0.1 - 0.1. Which is the biggest value? (a) 0.2 (b) z (c) y c Let j = 5.2 + -4.7. Which is the second smallest value? (a) j (b) 0.4 (c) -0.04 b Let l = -18 + 5. Let i = l + 18. Let g be (-20)/(-6) - (-2)/(-6). Which is the third smallest value? (a) g (b) i (c) 2/3 b Let x be (-2 - -1) + 14/12. Suppose -5*m + 18 = u, -3*u + 4*m - 20 = 2. Let o be (0 - -1)*(2 + u). What is the smallest value in x, o, -3? -3 Let f = -0.17 + 0.01. Let h = f - -0.46. What is the third biggest value in -2/13, h, 1? -2/13 Suppose -3*z = -12, -3*u + 3 = 3*z - 9. Let y = -3 - u. Which is the second biggest value? (a) y (b) -0.1 (c) -2 c Let u be (1 - -2) + (-504)/147. Let y = -0.4 + -0.6. Which is the third biggest value? (a) u (b) -5 (c) y b Let v = 0.35 + -0.05. What is the third biggest value in -0.4, -2/7, v? -0.4 Let x be 2/6 + (-56)/(-210). Which is the second biggest value? (a) -0.5 (b) x (c) 6 b Let v = -1178/9 + 131. What is the second biggest value in -8, v, 0.3? v Let w = 4 - 10. Let r = w - -5.6. Let n = 1.4 + r. What is the third biggest value in 0.1, -4, n? -4 Let n = 10 - 15. Suppose 2 = 4*k - 3*o - 1, 3*o - 21 = -4*k. Let x = -14/5 + k. Which is the smallest value? (a) 0.3 (b) n (c) x b Let x = -0.34 - -0.04. Which is the biggest value? (a) x (b) 1/4 (c) 4 c Let z be (5 + -5)*1/(-3). Suppose -5*l + 2*r + r - 12 = z, -l + 4 = r. Which is the third biggest value? (a) l (b) 5 (c) 0.5 a Let n = 13.2 + -15. Let f = 1.4 + n. Which is the third smallest value? (a) 2 (b) f (c) 2/7 a Let s = -479/276 + -1/69. What is the smallest value in 0.1, -5, s? -5 Let r = 0.06 + 6.94. Let d = -7 + r. Which is the second smallest value? (a) d (b) 5 (c) 2 c Suppose -5*s + 15 = 10. Let p = 1 + -3. Which is the biggest value? (a) -2/3 (b) s (c) p b Let h = -1 + 2. Let y be (h/(-1))/(1 - 2). Which is the second biggest value? (a) 0.1 (b) y (c) -1/2 a Let w = 1 - 1.02. Let p = -5.02 - w. Let q be (-4 + 5)*(-1)/(-9). Which is the biggest value? (a) p (b) -3 (c) q c Let u be (-423)/42*4/3. Let p = 860/63 + u. What is the third biggest value in p, 0.2, -5? -5 Let b = 0.9347 - -0.0653. Let l = 1 - 2. What is the second biggest value in b, -5, l? l Let m = 0.06 - 0.26. Let n be (0 - 1) + 16/6. What is the third biggest value in n, m, 1/4? m Let y = -2 - 1. Let k be 4/(-10) + (-633)/105. Let z = -107/21 - k. Which is the third biggest value? (a) -0.3 (b) y (c) z b Let r be (2/(-8) - 0) + 0. Which is the second biggest value? (a) -5 (b) -0.2 (c) r c Let g = -22 - -20. Let j = -11 + 8. What is the second smallest value in j, g, 0.2? g Suppose -4*u + 3 + 1 = 0. Which is the fourth biggest value? (a) -9 (b) -4 (c) -3 (d) u a Let s = -31/75 + 2/25. Which is the second smallest value? (a) s (b) 0.3 (c) 1/6 c Let x = -7 - -7.3. Let m(l) = -l. Let r be m(8). Let i be (1/(-3))/(r/3). What is the biggest value in -3, x, i? x Let m = -0.08 + 0.08. Let r = -3 + m. Let f = r + 2.8. Which is the biggest value? (a) 0 (b) f (c) 4/9 c Let o = 6 - 4. What is the biggest value in 3/7, -1/3, o? o Let y be 12/(-189) + (-6)/27. Let d be (6/54)/(2/(-6)). Which is the third smallest value? (a) d (b) -5 (c) y c Let m = -5.6 + 1.6. What is the second smallest value in -2, 0.3, m? -2 Let h = -0.047 - -5.647. Let x = -6 + h. Let r = 11/10 + -53/30. Which is the second smallest value? (a) r (b) x (c) -0.1 b Let t be (-7)/(-28) - (-1)/(-4). Which is the third smallest value? (a) t (b) 1 (c) 0.2 b Let d = 11806 - 106126/9. Let b = -805/18 + d. Let r = b - -31. What is the smallest value in 4, r, 2/17? 2/17 Let j = 2.2 - 0.5. Let a = j - 9.7. Let w = -4 - a. What is the smallest value in w, -5, 0? -5 Suppose 5*d - 3*n = 2*n - 35, 2*d = -n + 1. Let i = -3 - 0. Which is the third smallest value? (a) i (b) d (c) 0 c Let k = 0.83 - 0.33. What is the smallest value in -13, 5, k? -13 Let p = 7.7 + -8. Which is the third biggest value? (a) 7 (b) p (c) 3/5 b Let z = -21 + 12. Let n = z + 7. Which is the third biggest value? (a) 2 (b) n (c) -3 c Let x = 15 - 17. Which is the biggest value? (a) -5 (b) 1/5 (c) x b Let g = -0.666 + 0.036. Let a = 0.07 - g. Let j = 1.1 - a. What is the second biggest value in 0, -1, j? 0 Let m = -12 - -4. Let w = -3 - m. Which is the second smallest value? (a) w (b) -2 (c) 1 c Let d = -17.15 - -17. Which is the biggest value? (a) d (b) 5 (c) 1/4 b Let t = 2 - -3. What is the second biggest value in -5, t, 2? 2 Let f = -0.8 + 0.4. Let i = f + -3.6. Let g(p) = 3*p**3 - 2*p**2 - p + 1. Let u be g(1). Whi
{ "pile_set_name": "DM Mathematics" }
+ 4. Let z(d) = -7 + 6*d**3 + d**3 - 9*d + 2*d**3. What is p*z(m) - 7*v(m)? -m**3 + m Let p(h) = -6*h**2. Let o(a) = -a**2. Calculate -36*o(t) + 4*p(t). 12*t**2 Suppose -4*w + 19 = 3. Let l(s) = -2*s**3 + 2*s**2 - 3*s - 3. Let d(h) = 2*h**3 - 3*h**2 + 4*h + 4. Calculate w*l(b) + 3*d(b). -2*b**3 - b**2 Let v(t) = t - 1 - t - t + 0. Let j(f) = -4*f - 4. Let h(y) = j(y) - 3*v(y). Let z(g) = -3*g - 4. Calculate 4*h(o) - z(o). -o Let m(d) = -1. Let v be 8/10*70/(-4). Suppose j = -4 + 6. Suppose -5*t = -8 - j. Let x(r) = -r**2 - 8. What is t*x(a) + v*m(a)? -2*a**2 - 2 Let q = -14 - -17. Suppose -2*x + 5 - q = 0. Let l be (-6)/(-3) + 0/(-1). Let n(v) = 1. Let y(z) = z**3 - z**2. Determine l*y(p) + x*n(p). 2*p**3 - 2*p**2 + 1 Let q(z) = 6*z**3 - 7*z**2 + 4*z + 3. Suppose -2*g = -5 + 1. Let h(w) = 2*w**3 - 2*w**2 + w + 1. Let u be (-3)/3*10 + 3. What is g*q(m) + u*h(m)? -2*m**3 + m - 1 Let s(o) = -2 + 4 - 1. Let h(u) = u - 5. Give h(v) + 4*s(v). v - 1 Let j be (-3 + 13)/((-1)/(-1)). Let v(d) = d + 3. Let x(c) = -2*c - 7. Determine j*v(r) + 4*x(r). 2*r + 2 Let w(r) = -8*r**2 + 6*r - 4. Let m(y) = 9*y**2 - 8*y + 5. Determine 5*m(o) + 6*w(o). -3*o**2 - 4*o + 1 Let c(t) = 9*t - 8. Let r(i) = -4*i + 4. Calculate 6*c(n) + 13*r(n). 2*n + 4 Let i(x) = 4 + 0 + 2*x**2 + x**2. Let p(z) = 4*z**2 + 5. Let f(v) = -6*v**3 + 2*v**2 + 2*v + 1. Let l be f(-1). Suppose 3*j + l + 8 = 0. Give j*i(o) + 4*p(o). o**2 Let m(t) = 2*t**3 + 4*t**2 - 4*t + 1. Let d(q) = 2*q**3 + 3*q**2 - 3*q + 1. Calculate -4*d(s) + 3*m(s). -2*s**3 - 1 Let v(f) = -27*f + 3 + 50*f + 0*f**2 + 5*f**2 - 24*f. Let c(z) = 4*z**2 - z + 2. Calculate -4*c(g) + 3*v(g). -g**2 + g + 1 Let s(o) = -3*o**3 - o**3 + 2*o + 0*o**3 + 7*o**3. Suppose 3*g = 2 + 4. Let d(a) = a**3 + a**2 + a. Give g*d(n) - s(n). -n**3 + 2*n**2 Let m(b) = b**2 + 4*b - 1. Let r be m(-2). Let q(k) = 7*k + 4. Let h(l) = 5 + 7*l + 0*l + 3*l - 2*l. Calculate r*h(u) + 6*q(u). 2*u - 1 Let y(p) = -p**2 - p. Let t(n) = 3*n**2 + 6*n + 8. Let m(o) = t(o) + 5*y(o). Let a(k) = 1. Determine 6*a(c) - m(c). 2*c**2 - c - 2 Let d(a) = 2*a**2 - 15*a - 2. Let n(x) = -x**2 - x. Give -d(i) - n(i). -i**2 + 16*i + 2 Let l(f) be the first derivative of f**2/2 + f - 8. Let m = -4 - -1. Let b(r) = -2*r - 3. Calculate m*b(o) - 8*l(o). -2*o + 1 Let v(a) = -2*a**2 + 4*a**3 - 7 + 13*a**2 - 4. Let u(f) = -f**3 - 3*f**2 + 3. Calculate -22*u(b) - 6*v(b). -2*b**3 Let l(a) = a - 1. Let h(v) = 3*v + 4. Determine -h(n) - 4*l(n). -7*n Let w(g) = -g**3 + 2*g + 3. Let o(c) = -c**3 - 2*c**2 - c - 4. Let m be o(-3). Let l = m - 5. Let z(v) = 4 - 9 + 1 + 2*v**l - 3*v. Calculate 3*w(y) + 2*z(y). y**3 + 1 Let i be (-4)/(-3) + (-4)/(-6). Let k(o) = o**3 - 1. Let w(n) = 3*n**3. Let b(s) = -s**3 + s - 1. Let m(g) = 2*b(g) + 2*w(g). Give i*k(j) - m(j). -2*j**3 - 2*j Let v(y) = -y - 10. Let a(t) = 12. Let n(h) = 2. Let d(r) = -2*a(r) + 11*n(r). Determine 11*d(f) - 2*v(f). 2*f - 2 Let q(o) = 395*o. Let y(p) = p. Calculate q(x) - 474*y(x). -79*x Let h(x) = 3*x**2 - 6*x - 3. Suppose -17 - 3 = -4*m. Let z(g) be the first derivative of -1/3*g**3 + 1/2*g**2 + g + 6. What is m*z(b) + h(b)? -2*b**2 - b + 2 Let b(d) = -d + 1. Let h(z) = -2*z - 2. What is -2*b(m) - h(m)? 4*m Let j(s) = -560*s**2. Let z(o) = 51*o**2. Give 6*j(b) + 65*z(b). -45*b**2 Let s(j) = -j**2 - 12*j + 14. Let g be s(-13). Let o(h) = -h - 2. Let q(z) = 1. Give g*o(b) + 5*q(b). -b + 3 Let a(r) be the second derivative of -r**3/6 - r**2/2 + 29*r. Let h(y) = 6*y + 6. Determine -4*a(g) - h(g). -2*g - 2 Let k(u) be the first derivative of 51*u**2/2 - 21*u + 3. Let c(i) = 5*i - 2. Let j(r) = -22*r**2 - r. Let g be j(-1). Calculate g*c(x) + 2*k(x). -3*x Let r(k) = -2*k - 11. Let g(b) = -2*b - 11. What is -5*g(s) + 6*r(s)? -2*s - 11 Let i(q) = 4*q - 6. Let s(y) = -5*y + 35. Let n be s(7). Let g(h) be the third derivative of n*h + h**2 + 7/6*h**3 + 0 - 5/24*h**4. What is 5*g(k) + 6*i(k)? -k - 1 Let u = -68 - -72. Let l(c) = 2*c - 5. Let y(i) = 3*i - 6. Give u*y(g) - 5*l(g). 2*g + 1 Let g(z) = 8*z**2 + 5*z - 1. Let c be 4/((-40)/25)*(0 + 2). Let i(s) = 9*s**2 + 6*s - 1. Give c*i(w) + 6*g(w). 3*w**2 - 1 Let f(l) = 3*l + 4. Let w(x) = 6*x + 9. Calculate -7*f(j) + 3*w(j). -3*j - 1 Let g(k) = -4*k. Suppose -w - 5 = 0, 5*i + 2*w = -0*w. Let o(r) = -r + 1. Determine i*o(z) - g(z). 2*z + 2 Let d(h) = 2*h**2 + 5*h + 2. Let t(y) = -3*y**2 - 6*y - 2. Let j(l) = -4*d(l) - 3*t(l). Let b(f) = -f**2 + 3*f + 3. Calculate -2*b(s) - 3*j(s). -s**2 Let v(m) = -m**2 - m - 1. Let k(x) = x**3 - x - 2. Let r(d) = d**3 + 11*d**2 - 11*d + 13. Let l be r(-12). What is l*k(j) - 2*v(j)? j**3 + 2*j**2 + j Suppose 5*j - 16 = -i + 4, 2*i + 4 = j. Let g(c) = -c - 4*c + 1 + 2*c + j. Let d(r) = 2*r - 3. Give -8*d(h) - 5*g(h). -h - 1 Let o(k) = -25*k + 2. Let h(i) = 126*i - 11. What is 2*h(q) + 11*o(q)? -23*q Let s(c) = 19*c**3 - 5*c**2. Let m(j) = 29*j**3 - 8*j**2. What is -5*m(l) + 8*s(l)? 7*l**3 Let y(d) be the second derivative of -7*d**3/6 - 3*d**2 + 9*d. Let g(z) = 6*z + 5. What is 5*g(i) + 4*y(i)? 2*i + 1 Let v(h) = h**2 + 5*h - 1. Let u be v(-4). Let m(w) = -2*w**2 - 4*w. Let n(y) = -2*y**2 - 3*y. Give u*m(p) + 6*n(p). -2*p**2 + 2*p Let j(l) = -3*l**2 + l + l**2 + 13*l + 6 - 4*l**2. Let n(m) = -2*m**2 + 5*m + 2. Determine -6*j(h) + 17*n(h). 2*h**2 + h - 2 Let g(p) = -9*p - 4. Let z(f) = 13 - 15 + 0 - 4*f. Give -3*g(w) + 7*z(w). -w - 2 Let h(w) = -5*w**2 - 4*w - 4. Let r(k) = 4*k**2 + 3*k + 3. Give 2*h(j) + 3*r(j). 2*j**2 + j + 1 Let u(f) = f - 1. Suppose -7 + 2 = -o. Let q(d) = 6*d - 6. Determine o*u(z) - q(z). -z + 1 Let g(a) = 2*a - 2. Let c(z) = -4*z + 5. Suppose -2*x - 4*p + 7 = -p, -3*x = -5*p + 37. Calculate x*c(i) - 9*g(i). -2*i - 2 Let b(c) = -5*c - 2. Let d(n) be the third derivative of -n**4/12 - n**3/6 + 15*n**2. Give 4*b(k) - 9*d(k). -2*k + 1 Let y = -9 + 5. Let p(w) = w**3 - w**2. Let o = -8 - -11. Let v(m) = m**o - 7*m**3 + 3*m**2 + m**2 - m. Calculate y*p(a) - v(a). 2*a**3 + a Let l(z) be the third derivative of 11*z**4/24 - 5*z**3/6 + 2*z**2. Let o(j) = 4*j - 2. What is -3*l(g) + 8*o(g)? -g - 1 Let z(m) = -92*m**3 + 5*m. Let v(i) = 6762*i**3 - 368*i. What is 5*v(n) + 368*z(n)? -46*n**3 Let b(j) = -5*j**2 - 6*j. Let m(q) = -q - 3. Let t(v) = -3*v - 8. Let r(l) = 8*m(l) - 3*t(l). What is b(s) + 6*r(s)? -5*s**2 Let c(r) be the third derivative of -r**5/60 - r**3/6 + r**2. Let d(b) = -b**2 + 3*b + 7. Let p be d(5). Let a(i) = -i**2 - 2. What is p*a(m) + 6*c(m)? -3*m**2 Let w(l) = -3*l + 1. Let p(k) = -16*k + 4. Calculate -2*p(h) + 11*w(h). -h + 3 Let g(s) = -5*s**2 + 2*s - 2. Let l(v) = 6*v**2 - 2*v + 2. Give -4*g(t) - 3*l(t). 2*t**2 - 2*t + 2 Suppose -3*v - 18 = -0*v. Let k = 8 + v. Let h be 2*3/k + 2. Let u(a) = 7*a**3 - 7*a - 3. Let o(f) = 8*f**3 - 8*f - 4. Determine h*o(g) - 6*u(g). -2*g**3 + 2*g - 2 Let j(o) = 4*o**2 + 75. Let x(z) = -z**2 - 19. What is 2*j(a) + 9*x(a)? -a**2 - 21 Let q(i) = 11*i**3 + 8*i**2. Let m(v) = 7*v**3 + 5*v**2. Let c be 19/4 + (-9)/(-36). Give c*q(o) - 8*m(o). -o**3 Let d(l) = 4*l - 75. Let u(w) = -9*w + 151. What is -13*d(k) - 6*u(k)? 2*k + 69 Let g(p) = -p - 3. Let v be 15/(-1 - -6) + 2 + -3. Let l(n) be the first derivative of -3 - 2*n - 1/2*n**v. Calculate 4*g(r) - 5*l(r). r - 2 Let r(z) = 31*z + 16. Let v(s) = -21*s - 11. What is 5*r(n) + 7*v(n)? 8*n + 3 Let q(j) = -7*j**2 - 15*j - 9. Let c(k) = -3*k**2 - 7*k - 4. What is -9*c(l) + 4*q(l)? -l**2 + 3*l Let w(b) = 5*b**2 + 10*b - 10. Let v(j) = -4*j**2 + 5*j - 5. Let m(f) = 2*f**2 - 3*f + 3. Let x(r) = 11*m(r) + 6*v(r). Determine 3*w(d) + 10*x(d). -5*d**2 Suppose -11*j = -4*j + 28. Let s(l) = -4*l + 7 + 4*l - 3*l. Let q(u) = -u + 3. What is j*s(y) + 10*q(y)? 2*y + 2 Let u(y) = 2*y**2 - 5*y. Suppose 6*p + 23 = 53. Let k(h) = h**2 - 3*h. Give p*k(m) - 3*u(m). -m**2 Let t(z) be the first derivative of -4*z**2 - 4*z - 8. Let c(w) = -w. Determine -10*c(y) + t(y). 2*y - 4 Let r(j) = -5*j. Let t(m) = m. Calculate r(d) + 10*t(d). 5*d Let n(z) = -z - 3. Suppose -4*f - 14 = -2. Let k(h) = -2. Calculate f*k(b) + 2*n(b). -2*b Suppose x - 6 = -16. Let v be ((-4)/(-10))/(1/x). Let k(j) = -16*j**2 - 11*j. Let s(b) = 3*b**2 + 2*b. Give v*k(l) - 22*s(l). -2*l**2 Let f = -5 - -8. Let j(n) = -3*n**3 + 3*n**2 + 2*n. Let d(p) = -4*p**3 + 4*p**2 + 3*p. Calculate f*j(v) - 2*d(v). -v**
{ "pile_set_name": "DM Mathematics" }
39 Calculate the remainder when 528 is divided by 526. 2 What is the remainder when 321981 is divided by 644? 625 What is the remainder when 32615 is divided by 72? 71 What is the remainder when 61349 is divided by 2800? 2549 Calculate the remainder when 417279 is divided by 37. 30 What is the remainder when 786 is divided by 161? 142 What is the remainder when 9234 is divided by 9225? 9 What is the remainder when 115601 is divided by 221? 18 Calculate the remainder when 6859 is divided by 1142. 7 What is the remainder when 6462 is divided by 961? 696 Calculate the remainder when 21518 is divided by 615. 608 What is the remainder when 98041 is divided by 49001? 39 What is the remainder when 3199 is divided by 798? 7 Calculate the remainder when 3159645 is divided by 1863. 1860 Calculate the remainder when 17315 is divided by 205. 95 Calculate the remainder when 4062 is divided by 107. 103 What is the remainder when 173127 is divided by 17312? 7 What is the remainder when 9533 is divided by 9488? 45 Calculate the remainder when 540956 is divided by 14. 10 What is the remainder when 15322 is divided by 3824? 26 What is the remainder when 453 is divided by 304? 149 What is the remainder when 9339 is divided by 9293? 46 What is the remainder when 40468 is divided by 9? 4 What is the remainder when 286465 is divided by 364? 361 What is the remainder when 59348 is divided by 468? 380 Calculate the remainder when 5517 is divided by 10. 7 Calculate the remainder when 34039 is divided by 81. 19 What is the remainder when 59556 is divided by 9? 3 What is the remainder when 16423933 is divided by 2752? 2749 What is the remainder when 6636 is divided by 579? 267 Calculate the remainder when 26626 is divided by 26607. 19 What is the remainder when 11169 is divided by 254? 247 What is the remainder when 5169 is divided by 129? 9 What is the remainder when 13995 is divided by 495? 135 Calculate the remainder when 71648 is divided by 25. 23 What is the remainder when 560379 is divided by 47? 45 Calculate the remainder when 349 is divided by 21. 13 What is the remainder when 4993 is divided by 41? 32 What is the remainder when 10549 is divided by 3447? 208 Calculate the remainder when 6038 is divided by 1481. 114 Calculate the remainder when 1744 is divided by 1712. 32 Calculate the remainder when 3670 is divided by 27. 25 What is the remainder when 9022 is divided by 4495? 32 What is the remainder when 18399 is divided by 258? 81 What is the remainder when 342338 is divided by 48? 2 What is the remainder when 46781 is divided by 180? 161 What is the remainder when 472826 is divided by 47281? 16 Calculate the remainder when 14268 is divided by 11690. 2578 What is the remainder when 3878 is divided by 728? 238 What is the remainder when 247579 is divided by 9? 7 Calculate the remainder when 2483 is divided by 357. 341 Calculate the remainder when 521575 is divided by 521568. 7 What is the remainder when 59608 is divided by 10? 8 Calculate the remainder when 141037 is divided by 70498. 41 What is the remainder when 1392521 is divided by 58? 57 What is the remainder when 7034 is divided by 1312? 474 Calculate the remainder when 19818 is divided by 3955. 43 Calculate the remainder when 7790 is divided by 139. 6 Calculate the remainder when 7627 is divided by 1268. 19 Calculate the remainder when 7152 is divided by 299. 275 Calculate the remainder when 48303 is divided by 119. 108 What is the remainder when 182974 is divided by 13? 12 What is the remainder when 2821 is divided by 2021? 800 What is the remainder when 24404 is divided by 282? 152 Calculate the remainder when 3205 is divided by 3194. 11 Calculate the remainder when 280036 is divided by 97. 94 What is the remainder when 30062 is divided by 33? 32 Calculate the remainder when 27415 is divided by 117. 37 Calculate the remainder when 30243 is divided by 115. 113 What is the remainder when 986 is divided by 60? 26 What is the remainder when 56251 is divided by 171? 163 What is the remainder when 130781 is divided by 756? 749 Calculate the remainder when 370268 is divided by 399. 395 What is the remainder when 31274 is divided by 63? 26 What is the remainder when 1828717 is divided by 25? 17 Calculate the remainder when 32507 is divided by 85. 37 What is the remainder when 83403 is divided by 44? 23 Calculate the remainder when 29696 is divided by 84. 44 Calculate the remainder when 7706 is divided by 234. 218 Calculate the remainder when 114239 is divided by 68. 67 What is the remainder when 8063 is divided by 735? 713 Calculate the remainder when 49535 is divided by 8250. 35 What is the remainder when 431 is divided by 84? 11 Calculate the remainder when 15960 is divided by 5317. 9 What is the remainder when 10053 is divided by 10049? 4 Calculate the remainder when 9083 is divided by 364. 347 What is the remainder when 87134 is divided by 14? 12 What is the remainder when 1763 is divided by 368? 291 Calculate the remainder when 890 is divided by 147. 8 What is the remainder when 11804 is divided by 562? 2 What is the remainder when 1845 is divided by 114? 21 Calculate the remainder when 18394 is divided by 1578. 1036 What is the remainder when 18528 is divided by 34? 32 What is the remainder when 12320 is divided by 1119? 11 What is the remainder when 91882 is divided by 8? 2 Calculate the remainder when 6709 is divided by 58. 39 Calculate the remainder when 479521 is divided by 270. 1 Calculate the remainder when 1896 is divided by 630. 6 What is the remainder when 420935 is divided by 107? 104 What is the remainder when 3164 is divided by 1379? 406 What is the remainder when 21532 is divided by 10602? 328 What is the remainder when 885 is divided by 295? 0 What is the remainder when 32311 is divided by 12? 7 What is the remainder when 54988 is divided by 195? 193 Calculate the remainder when 11735 is divided by 84. 59 Calculate the remainder when 4273 is divided by 532. 17 Calculate the remainder when 2584 is divided by 13. 10 What is the remainder when 86770 is divided by 28906? 52 What is the remainder when 81844 is divided by 52? 48 What is the remainder when 724656 is divided by 25880? 16 Calculate the remainder when 14561 is divided by 3635. 21 Calculate the remainder when 247633 is divided by 591. 4 Calculate the remainder when 1207 is divided by 325. 232 What is the remainder when 231131 is divided by 17? 16 Calculate the remainder when 3564 is divided by 155. 154 What is the remainder when 83150 is divided by 1320? 1310 Calculate the remainder when 5935 is divided by 231. 160 What is the remainder when 269364 is divided by 11223? 12 Calculate the remainder when 1214 is divided by 380. 74 What is the remainder when 62877 is divided by 62828? 49 What is the remainder when 2788 is divided by 242? 126 Calculate the remainder when 14014 is divided by 42. 28 Calculate the remainder when 2329 is divided by 569. 53 Calculate the remainder when 4312 is divided by 479. 1 Calculate the remainder when 64504 is divided by 96. 88 What is the remainder when 2072 is divided by 306? 236 Calculate the remainder when 12537 is divided by 113. 107 Calculate the remainder when 5449 is divided by 190. 129 Calculate the remainder when 2342 is divided by 461. 37 What is the remainder when 147911 is divided by 2311? 7 Calculate the remainder when 11252 is divided by 1226. 218 Calculate the remainder when 346 is divided by 17. 6 What is the remainder when 44264 is divided by 24? 8 What is the remainder when 3403 is divided by 773? 311 Calculate the remainder when 2083 is divided by 848. 387 What is the remainder when 9629 is divided by 230? 199 Calculate the remainder when 12682 is divided by 86. 40 What is the remainder when 18483 is divided by 2945? 813 What is the remainder when 2959657 is divided by 13? 12 Calculate the remainder when 103943 is divided by 103940. 3 Calculate the remainder when 3317 is divided by 305. 267 What is the remainder when 13619 is divided by 681? 680 What is the remainder when 208 is divided by 141? 67 What is the remainder when 9570 is divided by 61? 54 What is the remainder when 5500 is divided by 306? 298 Calculate the remainder when 6712 is divided by 765. 592 What is the remainder w
{ "pile_set_name": "DM Mathematics" }
p**2 + 7. Calculate the remainder when q(5) is divided by i. 1 Let s = 57 - 34. Let c = 2 - 14. Calculate the remainder when s is divided by -1*(-2 - -3)*c. 11 Suppose 2*w - 160 = -2*r, 3*w + 0*w = r - 84. What is the remainder when r is divided by 41? 40 Let y(l) = -4*l - 29. What is the remainder when y(-14) is divided by (-144)/(-15) - 8/(-20)? 7 Let l(n) = -3*n**2 + 6*n + 3. Let f be l(-4). What is the remainder when ((-16)/(-24))/((-2)/f) is divided by 8? 7 Let u(i) = -i + 16. Calculate the remainder when 17 is divided by u(6). 7 Suppose c - 5*s = -23 - 2, -10 = -3*c - 2*s. Suppose h - 27 = -c*h. Let q(b) = -b**2 - 7*b - 2. Calculate the remainder when h is divided by q(-4). 7 Let x(o) = o**2 - 9*o + 5. Suppose 0 = -0*r - 3*r + 24. Calculate the remainder when r is divided by x(9). 3 Let b = 20 - 18. Let z(j) = 4*j**3 - 2*j**2 - 3*j + 3. Calculate the remainder when 62 is divided by z(b). 20 Suppose 0 = 2*h + 5*g - 50, 102 = 5*h + 4*g - 3*g. Suppose 2*u + 172 = 3*d, 4*u + 288 = 8*d - 3*d. Calculate the remainder when d is divided by h. 16 Let j(t) = t**3 - 4*t. Let u = 27 - 15. Suppose -4*y + u = 4*o, 0 = -4*o - 2*y + 3 + 19. What is the remainder when j(3) is divided by o? 7 Let o(g) = 5*g - 36. What is the remainder when 128 is divided by o(16)? 40 Let f be 0 - 114/((-12)/4). Suppose -5*p = -3*p - f. Calculate the remainder when 74 is divided by p. 17 Suppose -3*q + c = -121, 0*c = 5*q - 4*c - 211. Suppose 13*v - 14*v + q = 0. Calculate the remainder when v is divided by 21. 18 Let g(n) = 13 + 3*n - 3*n - n + 0*n. What is the remainder when 19 is divided by g(6)? 5 Suppose 2*z + 69 = 7. Let r = -22 - z. Calculate the remainder when -2*(42/(-4) - -2) is divided by r. 8 Let j(s) = s**3 + 3*s**2 - 2*s - 2. Calculate the remainder when 14 is divided by j(-3). 2 Let j(u) = -u**2 - 8*u. Let d = -5 - 0. Suppose 9 = -3*m + 93. What is the remainder when m is divided by j(d)? 13 Let d = 8 + -93. Let w = 148 + d. Calculate the remainder when w is divided by 11. 8 Let g = -4 - -3. Suppose 0 = 7*u - 3*u - 4*h - 24, -u = 5*h + 18. What is the remainder when (15/10)/(g/(-2)) is divided by u? 1 Suppose 2*i + 672 + 3138 = 5*o, -4*o + 3061 = i. What is the remainder when 78 is divided by (-2)/7 + o/28? 24 What is the remainder when 185/(5/1) + 0 is divided by 19? 18 Calculate the remainder when 86 is divided by (-18)/(1 + (-35)/25). 41 Let c = 52 + -24. Calculate the remainder when c is divided by 19. 9 Suppose -2*x + 7*x - 69 = -3*z, 2*x - 18 = 2*z. What is the remainder when 45 is divided by x? 9 Let a = 40 - -28. Let n = -95 + a. Calculate the remainder when -16*(n/6 - -1) is divided by 19. 18 Calculate the remainder when 90 is divided by 30/10 - (-30)/3. 12 Let g be 3/12 + 99/4. Let m = 3 - 1. Suppose m*k - 2 = -d + 4*k, 2*d = -3*k + g. Calculate the remainder when 15 is divided by d. 7 Let x = 43 + -24. Calculate the remainder when 35 is divided by x. 16 Let b = -17 - -179. Calculate the remainder when b is divided by 15. 12 Let n(y) = -y**3 - 8*y**2 - y + 11. Let z(o) = -7 + 3 - o + 3. Let d be z(7). Calculate the remainder when 55 is divided by n(d). 17 Let k(p) = 4*p**2 + p + 2 - 7*p + 0 + p**3 + 1. Calculate the remainder when 23 is divided by k(-5). 7 Calculate the remainder when (4/(-8))/(2*4/(-4304)) is divided by 17. 14 Suppose 13*w - 34 = 135. What is the remainder when w is divided by 6? 1 Suppose 0 = -p - 3, 4*p - 1 = -2*x + 1. Let q be -2 - x*(2 - 3). Suppose 2*b = -3*v + 19, 10*b = 5*b + q*v + 10. What is the remainder when 13 is divided by b? 3 What is the remainder when 2/(-8) + (-1530)/(-40) is divided by 21? 17 Suppose -2*y - 6 = -5*m, 8 = 6*y - 2*y. Let b(w) = w**3 - 9*w**2 + w - 7. Let r be b(9). Suppose m = g - r. What is the remainder when 13 is divided by g? 1 Suppose -4*t = -4*v + 28, 4 = -v - 2*v - 2*t. Suppose 36 = -v*z - 2*y, 2 - 5 = y. Let s = -8 - z. Calculate the remainder when s is divided by 2. 1 Let w be (-2 + 0)/((-2)/5). Suppose -w*g + 20 + 10 = 0. Suppose -3*y + 2 = j, -g*j - 4*y = -j - 10. Calculate the remainder when 5 is divided by j. 1 Let q(w) = w - 3. Let n be q(0). What is the remainder when 15/((-4)/(16/n)) is divided by 7? 6 Let s(y) = -y**3 - 5*y**2 - 2*y - 31. Suppose -3*j + 7 = 1. Calculate the remainder when s(-6) is divided by ((-6)/(-2))/(1/j). 5 Suppose 0 = -2*p - 3*j + 8*j + 145, -45 = -p - 3*j. Suppose -6*m + 97 = -m + 2*d, -m + 25 = -d. What is the remainder when p is divided by m? 18 Let c = -24 - -34. Suppose -h - u + 57 = 0, 2*h = 3*u - 2*u + 117. Suppose -w = w - h. Calculate the remainder when w is divided by c. 9 Let j(p) = -p**2 + 25 + 3*p - 5*p + 3*p. Let w be 2/10 - 3/15. Calculate the remainder when j(w) is divided by 13. 12 Suppose 25*w = 33*w - 80. What is the remainder when w is divided by 3? 1 Let w be (18/(-8))/(7/(-28)). Let d(u) = u**2 - 5*u + 7. Calculate the remainder when d(w) is divided by 11. 10 Calculate the remainder when 3/((-6)/(-136))*(-2)/(-2) is divided by 12. 8 Suppose -g + 0*g - 3*o = -8, -2*o = -5*g + 91. Suppose m + 0*m - 29 = 2*a, 2*m - 58 = -3*a. Let u = m - g. Calculate the remainder when u is divided by 5. 2 Suppose 3*k - 14 = 2*k. Calculate the remainder when k is divided by 8. 6 Let w(i) = i**3 - 7*i**2 + 6*i - 8. Suppose -23 = -3*g - g - u, -5*g = -u - 40. Calculate the remainder when w(g) is divided by 18. 16 Let v be (1 + -3)/(-1) + 3. Suppose -4*h + 263 - 25 = v*n, 0 = 4*n - 5*h - 215. Suppose -4*j = j - n. Calculate the remainder when 17 is divided by j. 7 Suppose -4*r + 7*r = 3*g + 102, -4*g = r - 49. Calculate the remainder when 72 is divided by r. 35 Let z = -7 + 35. Suppose 2*o + 8 = z. Calculate the remainder when 37 is divided by o. 7 Let m(a) = 4*a**2 + 3*a - 7. What is the remainder when m(-5) is divided by (-2)/(-5) + ((-704)/(-40) - -2)? 18 What is the remainder when 1/((-21)/24 - -1) is divided by 6? 2 Let y = 54 - 37. Suppose 2*x + b = -2*x + 128, 0 = -3*x + 5*b + 73. What is the remainder when x is divided by y? 14 Let y = -8 + 12. Suppose -m = 3*m - y. What is the remainder when 1 is divided by m? 0 Let v = 5 + -7. Let k be 7 + -1 + 4/v. Suppose -c = -4*r - 18, k*c - 2*c + 2*r = 56. Calculate the remainder when c is divided by 14. 12 Suppose -4*z + 22 = 5*r, 4 = -4*r - 2*z + 6*z. Let u(p) = p**2 + 7*p + 5. Let d be u(-5). Let o = -3 - d. What is the remainder when r is divided by o? 0 Let b(v) = -v**3 - 2*v**2 + 3. Calculate the remainder when 23 is divided by b(-3). 11 Let i = -6 + 6. Suppose i = 4*k - 4*r - 16, -5*r = k + 1 - 5. Calculate the remainder when 61 is divided by (1 - (-34)/8)*k. 19 Let i(z) = 8*z**2 - 3. Calculate the remainder when 114 is divided by i(2). 27 Let l = -10 + 7. Let i = 1 - l. What is the remainder when 14 is divided by i? 2 Suppose 4*q + 6 = -50. Let f be 4/q - 687/21. Calculate the remainder when (-3 - f) + -3 + -1 is divided by 7. 5 Suppose r - 70 = -r. Let z = 77 - r. What is the remainder when z is divided by 22? 20 Let l(c) = 3*c**2 + 6*c + 2. Calculate the remainder when 6 is divided by l(-2). 0 Suppose 0 = -h + 6*h - 590. Suppose 3*n - 6*n + 12 = 0. Suppose -4*q - 2*d = -h, n*q = -d - 12 + 133. Calculate the remainder when q is divided by 17. 14 Suppose 0 = -3*a + 4*a + 29. Let n be (-1)/4 + 197/4. Let q = a + n. Calculate the remainder when 59 is divided by q. 19 Let r be (8/(-10))/((-6)/30). Suppose r*s + s = 130. Calculate the remainder when s is divided by 9. 8 Suppose 80 = 3*p + 20. Suppose 7*v = 2*v + p. Suppose -76 = -4*f - v*o, 0 = 4*f - 5*o - 24 - 7. Calculate the remainder when 25 is divided by f. 11 Suppose -3*q + 5*o + 5 = 0, -3*q - 3*o - 3 = -48. Calculate the remainder when 16 is divided by q. 6 Suppose 4*r = -3*d + 40, 2*r - 6 = d + d. Suppose -2*w + 4*w - 4 = 0. What is the remainder when r is divided by w? 1 Let y(f) = -3*f + 5. Calculate the remainder when 20*(-3)/(-12)*9 is divided by y(-6). 22 Suppose -9*w - 3 = -10*w. Suppose 4*o - 2*d = 244, -240 = -7*o + 3*o + w*d. Calculate the remainder when o is divided by 16. 15 Let k(c) = -3*c + 4. Suppose 0*v + 13 = v. What is the remainder when k(-7) is divided by v? 12 Let d(x) = -x + 20. What is the remainder when 63 is divided by d(14)? 3 Suppose 0 = 3*r - 7 + 1. Suppose -f + 66 = r*f. Calculate the remainder when f is divided by 12
{ "pile_set_name": "DM Mathematics" }
sing order. 1042, 4, 0.5, -1/7, -8.1 Sort 540, -5, -1, 6, -4 in increasing order. -5, -4, -1, 6, 540 Sort -2/9, 3, -26.4, -14/9, 4, 1/3 in descending order. 4, 3, 1/3, -2/9, -14/9, -26.4 Put 6, 26/71, -4 in descending order. 6, 26/71, -4 Sort -5, 1/359, -0.3, 5, 26. -5, -0.3, 1/359, 5, 26 Put 95, 0, 32, 1 in decreasing order. 95, 32, 1, 0 Sort 3/7, -0.5, -4, 0.2241 in ascending order. -4, -0.5, 0.2241, 3/7 Put -5, 420, 4, -4/93, -0.5 in increasing order. -5, -0.5, -4/93, 4, 420 Put 21, -4, -8, -5, -18 in descending order. 21, -4, -5, -8, -18 Sort -4, -1444, -28 in descending order. -4, -28, -1444 Put 5, -5, -1, 1320, 3 in increasing order. -5, -1, 3, 5, 1320 Sort 821, 2, 1/7, 5/4. 1/7, 5/4, 2, 821 Put -4, 23, -23 in increasing order. -23, -4, 23 Sort -3, 1, 5, -32, -4 in descending order. 5, 1, -3, -4, -32 Sort 20, -2/11, 2/11, 0.15, 259 in descending order. 259, 20, 2/11, 0.15, -2/11 Sort 4, 2, -20, 1, -4, 91. -20, -4, 1, 2, 4, 91 Sort -4, -128, 405 in descending order. 405, -4, -128 Sort 58, 0, 1, -3, -4 in increasing order. -4, -3, 0, 1, 58 Sort -21, 73, -0.3, 0.5. -21, -0.3, 0.5, 73 Put 31, 0.5, 91 in decreasing order. 91, 31, 0.5 Sort 1038/37, 3/10, -2 in decreasing order. 1038/37, 3/10, -2 Put 12, -3763, 1, -5 in descending order. 12, 1, -5, -3763 Put -2.12, -0.5, 0.09 in decreasing order. 0.09, -0.5, -2.12 Sort -1, -2638, 4, 0. -2638, -1, 0, 4 Put -14, -2542, 1 in decreasing order. 1, -14, -2542 Sort 0.5, 9, 16, -1, -3.3 in decreasing order. 16, 9, 0.5, -1, -3.3 Sort 2, -4/89, 7, -11 in decreasing order. 7, 2, -4/89, -11 Sort 7, 62, -1, -2, -4 in ascending order. -4, -2, -1, 7, 62 Put 0.47, 15, 0.4, 2 in increasing order. 0.4, 0.47, 2, 15 Put -1005, -1, 69 in decreasing order. 69, -1, -1005 Put 0, 1, -14, 37 in ascending order. -14, 0, 1, 37 Sort 496491, -1, 3 in decreasing order. 496491, 3, -1 Sort 4, -2/11, -0.244, -2, -4, 1/5. -4, -2, -0.244, -2/11, 1/5, 4 Put 207, -228, 2 in ascending order. -228, 2, 207 Sort 498, -11, 2, -16, -2 in descending order. 498, 2, -2, -11, -16 Sort 3, -73, -21, 0 in ascending order. -73, -21, 0, 3 Sort -3, -1, 3501, -5 in descending order. 3501, -1, -3, -5 Put -4, -2, -17003 in descending order. -2, -4, -17003 Put 101, -8, -1, 0, 576, -5 in decreasing order. 576, 101, 0, -1, -5, -8 Put -26/811, -2/17, 3/4 in descending order. 3/4, -26/811, -2/17 Sort 29, 5, 0, -12 in ascending order. -12, 0, 5, 29 Sort -4, 1, -6, 999, -2, -3. -6, -4, -3, -2, 1, 999 Sort 2, 199, -6, -22. -22, -6, 2, 199 Put -3, -1344, -53, 0.4, -2 in ascending order. -1344, -53, -3, -2, 0.4 Sort -1, -2162, -6 in increasing order. -2162, -6, -1 Put 0.3, 0.2, -315, -9 in descending order. 0.3, 0.2, -9, -315 Sort -33, 3293, -5 in decreasing order. 3293, -5, -33 Put -6/17, 126, 78 in ascending order. -6/17, 78, 126 Sort 1, -236, 13, -389. -389, -236, 1, 13 Sort -0.4, 1, 0.1293, -4, -0.08. -4, -0.4, -0.08, 0.1293, 1 Sort 53, -1, -2, 3, 9 in ascending order. -2, -1, 3, 9, 53 Sort -2, -6, 8, -33 in descending order. 8, -2, -6, -33 Sort 9, -4, 738, -3. -4, -3, 9, 738 Sort 1, 5, -7, 43, -3, -5. -7, -5, -3, 1, 5, 43 Sort -1/27, 69, 0.2, -2 in ascending order. -2, -1/27, 0.2, 69 Sort 5, -15, 45, -655 in decreasing order. 45, 5, -15, -655 Sort 0.2, 2.366, 3/2. 0.2, 3/2, 2.366 Put -1/6, 0.29, -1, -0.2, 3 in increasing order. -1, -0.2, -1/6, 0.29, 3 Put -5, -4, -3, 2, -6943 in descending order. 2, -3, -4, -5, -6943 Sort -3, 24992, 4 in ascending order. -3, 4, 24992 Sort 0.1, -4, 7, 0.05, 0, -9/8. -4, -9/8, 0, 0.05, 0.1, 7 Sort 4, 0.3, -0.05, 6/7, -2, -6975 in increasing order. -6975, -2, -0.05, 0.3, 6/7, 4 Sort 20, 2064, -5. -5, 20, 2064 Put 21, -20, -201, -4, -5 in descending order. 21, -4, -5, -20, -201 Sort 1, 3, 2, -5, 37.5 in descending order. 37.5, 3, 2, 1, -5 Sort 77, -0.4, -47, 1/4 in increasing order. -47, -0.4, 1/4, 77 Put -2, -30, 351 in descending order. 351, -2, -30 Put 2, 0, 2840, 4, -9 in ascending order. -9, 0, 2, 4, 2840 Put 3, -25, -70 in increasing order. -70, -25, 3 Put 6483, 6, 1, 0, 4, -2 in decreasing order. 6483, 6, 4, 1, 0, -2 Sort -0.2, 5, 2/9, 2/5, -56. -56, -0.2, 2/9, 2/5, 5 Put 34, 3/5, -5, -2.49, -0.2, 2/11 in descending order. 34, 3/5, 2/11, -0.2, -2.49, -5 Put 6, -1, -2, 2731 in descending order. 2731, 6, -1, -2 Put 77, 0, 10, -3, 2 in increasing order. -3, 0, 2, 10, 77 Put 4, -2102, -12 in ascending order. -2102, -12, 4 Sort -4, -434, 1, -8, 4, 2 in descending order. 4, 2, 1, -4, -8, -434 Sort -1, -653, -5, 0, 1 in descending order. 1, 0, -1, -5, -653 Sort 5, 1, -3, -8, -10207 in descending order. 5, 1, -3, -8, -10207 Sort -4, 125, 2, -258, 5. -258, -4, 2, 5, 125 Sort 0, -373, 7, 10. -373, 0, 7, 10 Sort -7679, 1/2, 5, 2, -4 in descending order. 5, 2, 1/2, -4, -7679 Sort -23, 0, -2, 3, 5, 169 in ascending order. -23, -2, 0, 3, 5, 169 Sort 20, 0.2, -2/19, -276 in decreasing order. 20, 0.2, -2/19, -276 Put -101, -1, 60, 3, 2, -3 in decreasing order. 60, 3, 2, -1, -3, -101 Sort 2, 907, 12 in decreasing order. 907, 12, 2 Put 4/7, 1/7, 0.5, 9, -2, -0.4 in decreasing order. 9, 4/7, 0.5, 1/7, -0.4, -2 Put 40/7, 2, 1/147 in descending order. 40/7, 2, 1/147 Put 1, -4449, -5, 4, 60 in decreasing order. 60, 4, 1, -5, -4449 Put 2/387, -1, 0.5, 42, -20 in descending order. 42, 0.5, 2/387, -1, -20 Sort -3, 2105, -43. -43, -3, 2105 Put 5, -2/3, 18, -29/3, 3 in increasing order. -29/3, -2/3, 3, 5, 18 Put -4, 43, -1507, 3 in increasing order. -1507, -4, 3, 43 Sort 542, -47, -4 in ascending order. -47, -4, 542 Put 13994, 1/3, 2/5, 0 in increasing order. 0, 1/3, 2/5, 13994 Sort -2/3, 7, -0.2, -1, 8/31, 2 in decreasing order. 7, 2, 8/31, -0.2, -2/3, -1 Put -2/11, -0.18, -5, 1588 in increasing order. -5, -2/11, -0.18, 1588 Put -27, 0.3, 0.2, 209 in descending order. 209, 0.3, 0.2, -27 Put -205/2, -3, 1, -16, -3/13 in decreasing order. 1, -3/13, -3, -16, -205/2 Put -53, -5, -4, -1, 89 in ascending order. -53, -5, -4, -1, 89 Put 1, -1, -29682, -5 in descending order. 1, -1, -5, -29682 Sort -2, 5, 2, 0.01, -0.1, 3/29 in decreasing order. 5, 2, 3/29, 0.01, -0.1, -2 Sort -56, 5, -215 in descending order. 5, -56, -215 Sort -0.4, 191, 6/11, 0.2, 8 in descending order. 191, 8, 6/11, 0.2, -0.4 Sort -5, 0.2, 0.37, -1, 10. -5, -1, 0.2, 0.37, 10 Put -0.1, -211, 0.02, -10, 15 in descending order. 15, 0.02, -0.1, -10, -211 Put 24, 172, -3 in decreasing order. 172, 24, -3 Sort 3, -4, -1, -193, 35, 0. -193, -4, -1, 0, 3, 35 Put -13, 1, 2, -4, 4 in decreasing order. 4, 2, 1, -4, -13 Put 2, 34, -14, -2, -5, 0 in descending order. 34, 2, 0, -2, -5, -14 Sort -866, 1, 3, -5, 4 in increasing order. -866, -5, 1, 3, 4 Put -4/7, 4, 2/17, -86, -33 in descending order. 4, 2/17, -4/7, -33, -86 Sort -1.393, -2, 7 in increasing order. -2, -1.393, 7 Put 58, 2/5, 4, -0.2, -2/5 in descending order. 58, 4, 2/5, -0.2, -2/5 Sort -3, -2/41, 86, -0.5 in decreasing order. 86, -2/41, -0.5, -3 Put 1, -2883, 66 in descending order. 66, 1, -2883 Sort 3, -5, -76, -18. -76, -18, -5, 3 Sort 0.2, -0.5, 0.29, -0.2, 0.8 in descending order. 0.8, 0.29, 0.2, -0.2, -0.5 Sort 0, -3, 6, -76, 129 in increasing order. -76, -3, 0, 6, 129 Put -3, 104, -11504 in ascending order. -11504, -3, 104 Put 2, -19, 56, -4 in ascending order. -19, -4, 2, 56 Put -2, 0.1, -1, 47, 3/686 in decreasing order. 47, 0.1, 3/686, -1, -2 Put 37, 1/3, -7/55 in descending order. 37, 1/3, -7/55 Sort 0.3, 1, 22086 in descending order. 22086, 1, 0.3 Put -2, -4131, 1, -28 in decreasing order. 1, -2, -28, -4131 Sort -3, -2, 45/7, -5/12, -1/10, 1. -3, -2, -5/12, -1/10, 1, 45/7 Put 4, -7, -11, -20, 1, 6 in decreasing order. 6, 4, 1, -7, -11, -20 Put -1, -71, 1/4, 0.1, 0.7 in increasing order. -71, -1, 0.1, 1/4, 0.7 Put 5/4, -17, -0.03, -3.8, -3, -4 in ascending order. -17, -4, -3.8, -3, -0.03, 5/4 Put 8/3, 4/3, -5, -1, 0.145, -11 in decreasing order. 8/3, 4/3, 0.145, -1, -5, -11 Sort -2, -1785, -0.02. -1785, -2, -0.02 Sort 2, -6/21151, -3. -3, -6/21151, 2 Put 107, -391, -2, 4, 1/3 in descending order. 107, 4, 1/3, -2, -391 Sort -237, -12, 62, 2 in descending order. 62, 2, -12, -237 Sort 1871, 5, -0.21 in ascending order. -0.21, 5, 1871 Sort -4, -167, -3, -13, 5 in descending order. 5, -3, -4, -13, -167 Sort -36, 97, -5 in descending order. 97, -5, -36 Sort -3, -2/3, 5, -0.2, -1/3, 0.289 in increasing order. -3, -2/3, -1/3, -
{ "pile_set_name": "DM Mathematics" }
when 76 is divided by 11? 10 Calculate the remainder when 12 is divided by 4. 0 Calculate the remainder when 258 is divided by 42. 6 What is the remainder when 237 is divided by 76? 9 Calculate the remainder when 2099 is divided by 117. 110 What is the remainder when 96 is divided by 35? 26 Calculate the remainder when 157 is divided by 20. 17 What is the remainder when 158 is divided by 9? 5 Calculate the remainder when 221 is divided by 22. 1 What is the remainder when 1082 is divided by 155? 152 Calculate the remainder when 455 is divided by 84. 35 Calculate the remainder when 3438 is divided by 12. 6 What is the remainder when 900 is divided by 129? 126 What is the remainder when 850 is divided by 37? 36 Calculate the remainder when 2314 is divided by 329. 11 Calculate the remainder when 5097 is divided by 150. 147 What is the remainder when 511 is divided by 32? 31 Calculate the remainder when 3897 is divided by 229. 4 Calculate the remainder when 1433 is divided by 35. 33 Calculate the remainder when 1822 is divided by 278. 154 What is the remainder when 451 is divided by 7? 3 Calculate the remainder when 3328 is divided by 98. 94 What is the remainder when 106 is divided by 92? 14 What is the remainder when 385 is divided by 56? 49 Calculate the remainder when 699 is divided by 54. 51 Calculate the remainder when 980 is divided by 4. 0 Calculate the remainder when 85 is divided by 48. 37 What is the remainder when 78 is divided by 54? 24 What is the remainder when 876 is divided by 11? 7 Calculate the remainder when 830 is divided by 410. 10 What is the remainder when 106 is divided by 12? 10 What is the remainder when 198 is divided by 145? 53 What is the remainder when 5765 is divided by 8? 5 Calculate the remainder when 891 is divided by 858. 33 What is the remainder when 1869 is divided by 52? 49 What is the remainder when 424 is divided by 81? 19 Calculate the remainder when 788 is divided by 44. 40 Calculate the remainder when 2320 is divided by 6. 4 What is the remainder when 82 is divided by 70? 12 What is the remainder when 1649 is divided by 22? 21 What is the remainder when 3307 is divided by 78? 31 What is the remainder when 343 is divided by 88? 79 What is the remainder when 256 is divided by 70? 46 What is the remainder when 2098 is divided by 12? 10 What is the remainder when 52 is divided by 9? 7 Calculate the remainder when 451 is divided by 90. 1 What is the remainder when 449 is divided by 15? 14 Calculate the remainder when 260 is divided by 19. 13 Calculate the remainder when 3905 is divided by 23. 18 What is the remainder when 2 is divided by 2? 0 Calculate the remainder when 108 is divided by 16. 12 What is the remainder when 88 is divided by 19? 12 What is the remainder when 209 is divided by 7? 6 Calculate the remainder when 2800 is divided by 6. 4 What is the remainder when 618 is divided by 306? 6 Calculate the remainder when 51 is divided by 9. 6 What is the remainder when 381 is divided by 74? 11 What is the remainder when 11587 is divided by 39? 4 Calculate the remainder when 176 is divided by 28. 8 Calculate the remainder when 244 is divided by 129. 115 What is the remainder when 226 is divided by 87? 52 Calculate the remainder when 425 is divided by 39. 35 Calculate the remainder when 131 is divided by 50. 31 What is the remainder when 2957 is divided by 174? 173 What is the remainder when 249 is divided by 47? 14 Calculate the remainder when 571 is divided by 82. 79 Calculate the remainder when 65 is divided by 6. 5 Calculate the remainder when 736 is divided by 34. 22 Calculate the remainder when 29 is divided by 5. 4 What is the remainder when 669 is divided by 32? 29 Calculate the remainder when 204 is divided by 3. 0 Calculate the remainder when 193 is divided by 7. 4 Calculate the remainder when 4369 is divided by 59. 3 What is the remainder when 1463 is divided by 82? 69 What is the remainder when 90 is divided by 37? 16 Calculate the remainder when 42 is divided by 25. 17 Calculate the remainder when 280 is divided by 17. 8 What is the remainder when 931 is divided by 104? 99 What is the remainder when 241 is divided by 9? 7 Calculate the remainder when 760 is divided by 219. 103 What is the remainder when 271 is divided by 13? 11 Calculate the remainder when 23 is divided by 14. 9 Calculate the remainder when 117 is divided by 18. 9 Calculate the remainder when 769 is divided by 7. 6 What is the remainder when 244 is divided by 70? 34 Calculate the remainder when 14559 is divided by 112. 111 Calculate the remainder when 55 is divided by 15. 10 What is the remainder when 310 is divided by 13? 11 Calculate the remainder when 502 is divided by 72. 70 Calculate the remainder when 159 is divided by 38. 7 Calculate the remainder when 280 is divided by 96. 88 Calculate the remainder when 126 is divided by 112. 14 What is the remainder when 86 is divided by 29? 28 Calculate the remainder when 117 is divided by 56. 5 What is the remainder when 1596 is divided by 32? 28 Calculate the remainder when 1112 is divided by 516. 80 What is the remainder when 63 is divided by 2? 1 Calculate the remainder when 466 is divided by 60. 46 What is the remainder when 111 is divided by 25? 11 Calculate the remainder when 379 is divided by 14. 1 Calculate the remainder when 433 is divided by 153. 127 Calculate the remainder when 619 is divided by 63. 52 Calculate the remainder when 25 is divided by 24. 1 Calculate the remainder when 54 is divided by 11. 10 Calculate the remainder when 277 is divided by 3. 1 What is the remainder when 1825 is divided by 29? 27 What is the remainder when 1246 is divided by 151? 38 Calculate the remainder when 88 is divided by 10. 8 What is the remainder when 162 is divided by 62? 38 What is the remainder when 248 is divided by 79? 11 What is the remainder when 108 is divided by 41? 26 Calculate the remainder when 487 is divided by 52. 19 Calculate the remainder when 73 is divided by 13. 8 What is the remainder when 215 is divided by 124? 91 Calculate the remainder when 10055 is divided by 107. 104 What is the remainder when 506 is divided by 46? 0 What is the remainder when 18429 is divided by 97? 96 What is the remainder when 65 is divided by 22? 21 Calculate the remainder when 32 is divided by 14. 4 Calculate the remainder when 428 is divided by 48. 44 What is the remainder when 17647 is divided by 37? 35 What is the remainder when 1406 is divided by 32? 30 Calculate the remainder when 990 is divided by 225. 90 What is the remainder when 242 is divided by 49? 46 Calculate the remainder when 86 is divided by 35. 16 What is the remainder when 464 is divided by 92? 4 Calculate the remainder when 344 is divided by 15. 14 What is the remainder when 805 is divided by 788? 17 What is the remainder when 3916 is divided by 7? 3 Calculate the remainder when 26 is divided by 19. 7 Calculate the remainder when 267 is divided by 17. 12 What is the remainder when 106 is divided by 22? 18 What is the remainder when 253 is divided by 47? 18 What is the remainder when 10230 is divided by 12? 6 What is the remainder when 620 is divided by 89? 86 What is the remainder when 235 is divided by 60? 55 Calculate the remainder when 1049 is divided by 21. 20 Calculate the remainder when 5614 is divided by 2784. 46 What is the remainder when 209 is divided by 70? 69 Calculate the remainder when 109 is divided by 10. 9 Calculate the remainder when 3094 is divided by 72. 70 What is the remainder when 24 is divided by 9? 6 What is the remainder when 106 is divided by 22? 18 Calculate the remainder when 44 is divided by 23. 21 What is the remainder when 4 is divided by 2? 0 Calculate the remainder when 2025 is divided by 416. 361 What is the remainder when 1014 is divided by 68? 62 Calculate the remainder when 479 is divided by 224. 31 What is the remainder when 56 is divided by 5? 1 Calculate the remainder when 232 is divided by 37. 10 Calculate the remainder when 2699 is divided by 180. 179 What is the remainder when 17250 is divided by 227? 225 What is the remainder when 370 is divided by 29? 22 What is the remainder when 1801 is divided by 57? 34 What is the remainder when 23 is divided by 7? 2 What is the rema
{ "pile_set_name": "DM Mathematics" }
ided by 2234726. 12 What is the remainder when 154632 is divided by 77188? 256 What is the remainder when 17536 is divided by 3495? 61 What is the remainder when 3904263 is divided by 52? 51 Calculate the remainder when 570908 is divided by 570905. 3 What is the remainder when 1148796 is divided by 574363? 70 What is the remainder when 300328 is divided by 1517? 1479 Calculate the remainder when 562351 is divided by 3503. 1871 Calculate the remainder when 119029 is divided by 2085. 184 What is the remainder when 37302 is divided by 18255? 792 What is the remainder when 3580655 is divided by 625? 30 What is the remainder when 124606 is divided by 6229? 26 Calculate the remainder when 23834842 is divided by 108. 106 What is the remainder when 211643569 is divided by 124? 121 Calculate the remainder when 281189 is divided by 90502. 9683 Calculate the remainder when 873384 is divided by 37973. 5 Calculate the remainder when 142635 is divided by 3475. 160 What is the remainder when 126833 is divided by 63338? 157 What is the remainder when 236339 is divided by 115990? 4359 Calculate the remainder when 38401853 is divided by 4. 1 Calculate the remainder when 39623710 is divided by 191. 187 What is the remainder when 4556293 is divided by 657? 655 Calculate the remainder when 2785884 is divided by 257. 4 Calculate the remainder when 211304 is divided by 8799. 128 What is the remainder when 13284674 is divided by 251? 248 Calculate the remainder when 891937 is divided by 222451. 2133 Calculate the remainder when 2177943 is divided by 940. 903 Calculate the remainder when 121616 is divided by 4840. 616 Calculate the remainder when 30334 is divided by 2963. 704 Calculate the remainder when 31026 is divided by 15003. 1020 What is the remainder when 272851 is divided by 163? 152 What is the remainder when 813170 is divided by 3240? 3170 What is the remainder when 35057457 is divided by 11685815? 12 Calculate the remainder when 11726535 is divided by 1560. 15 Calculate the remainder when 441869 is divided by 243. 95 What is the remainder when 11339156 is divided by 154? 136 What is the remainder when 15655 is divided by 201? 178 Calculate the remainder when 41406626 is divided by 62. 50 What is the remainder when 4131105 is divided by 51637? 145 What is the remainder when 3991083 is divided by 199548? 123 What is the remainder when 5518976 is divided by 317? 6 What is the remainder when 97023 is divided by 419? 234 What is the remainder when 2365556 is divided by 159? 113 Calculate the remainder when 17536128 is divided by 8768039. 50 What is the remainder when 520824 is divided by 23673? 18 What is the remainder when 496070 is divided by 55? 25 Calculate the remainder when 176353 is divided by 88164. 25 Calculate the remainder when 1412488 is divided by 591. 589 What is the remainder when 9820 is divided by 2850? 1270 Calculate the remainder when 10036988 is divided by 48. 44 Calculate the remainder when 25300370 is divided by 20. 10 What is the remainder when 1096119 is divided by 23827? 77 Calculate the remainder when 337409 is divided by 90. 89 Calculate the remainder when 2373570 is divided by 21005. 5 What is the remainder when 704974 is divided by 746? 4 What is the remainder when 1056319 is divided by 435? 139 Calculate the remainder when 22611368 is divided by 69. 68 What is the remainder when 190822 is divided by 1988? 1962 Calculate the remainder when 268634 is divided by 270. 254 What is the remainder when 63944859 is divided by 73? 71 Calculate the remainder when 194581 is divided by 1014. 907 Calculate the remainder when 1457962609 is divided by 7. 5 What is the remainder when 1193862 is divided by 29117? 65 What is the remainder when 13269 is divided by 944? 53 What is the remainder when 18912055 is divided by 43? 10 What is the remainder when 33660314 is divided by 56? 2 What is the remainder when 6975752 is divided by 702? 680 What is the remainder when 3015028 is divided by 31? 30 What is the remainder when 214897 is divided by 14250? 1147 What is the remainder when 35133653 is divided by 219? 140 What is the remainder when 31903481 is divided by 6775? 6 Calculate the remainder when 6235816 is divided by 27112. 56 What is the remainder when 228876910 is divided by 88? 86 What is the remainder when 15763 is divided by 3664? 1107 What is the remainder when 869062 is divided by 697? 600 Calculate the remainder when 31760 is divided by 256. 16 What is the remainder when 18837704 is divided by 224258? 32 What is the remainder when 411069 is divided by 453? 198 Calculate the remainder when 939471 is divided by 93869. 781 Calculate the remainder when 95858058 is divided by 277. 269 Calculate the remainder when 44552724 is divided by 2121558. 6 What is the remainder when 3231862777 is divided by 31? 30 What is the remainder when 174937 is divided by 2309? 1762 What is the remainder when 136936 is divided by 6846? 16 Calculate the remainder when 112032 is divided by 37320. 72 What is the remainder when 91538173 is divided by 284280? 13 Calculate the remainder when 777925 is divided by 1499. 1443 Calculate the remainder when 15914005 is divided by 1168. 5 Calculate the remainder when 668106 is divided by 870. 816 What is the remainder when 48859594 is divided by 1116? 1114 Calculate the remainder when 12696138 is divided by 2116023. 0 What is the remainder when 327761278 is divided by 1056? 1054 What is the remainder when 2397755 is divided by 33? 8 What is the remainder when 5072884 is divided by 80? 4 Calculate the remainder when 1428065 is divided by 3216. 161 Calculate the remainder when 283735 is divided by 18868. 715 Calculate the remainder when 26077189 is divided by 24. 13 What is the remainder when 8716034 is divided by 13? 2 What is the remainder when 7647908 is divided by 4299? 4286 Calculate the remainder when 579925 is divided by 11354. 871 Calculate the remainder when 1531912 is divided by 382963. 60 Calculate the remainder when 5973598 is divided by 760. 758 What is the remainder when 7010575 is divided by 194? 191 Calculate the remainder when 44829372 is divided by 482. 480 What is the remainder when 5431205 is divided by 242? 241 What is the remainder when 12979 is divided by 3120? 499 What is the remainder when 94277 is divided by 3612? 365 Calculate the remainder when 143721 is divided by 995. 441 What is the remainder when 16363 is divided by 6604? 3155 Calculate the remainder when 130654 is divided by 400. 254 Calculate the remainder when 5074360 is divided by 23. 8 Calculate the remainder when 37693 is divided by 12474. 271 Calculate the remainder when 5830564 is divided by 971756. 28 What is the remainder when 4341542 is divided by 262? 202 Calculate the remainder when 2490690 is divided by 1245336. 18 Calculate the remainder when 126285 is divided by 710. 615 What is the remainder when 1044156 is divided by 126? 120 Calculate the remainder when 10511485 is divided by 14. 5 What is the remainder when 3036760 is divided by 2034? 2032 What is the remainder when 171081 is divided by 541? 125 What is the remainder when 649328 is divided by 74? 52 Calculate the remainder when 27266 is divided by 1884. 890 Calculate the remainder when 2730208 is divided by 1365016. 176 Calculate the remainder when 148108 is divided by 824. 612 What is the remainder when 1398580 is divided by 2512? 1908 Calculate the remainder when 1160445 is divided by 1533. 1497 Calculate the remainder when 5850280 is divided by 1950085. 25 What is the remainder when 22160718 is divided by 40? 38 Calculate the remainder when 1903509 is divided by 51. 36 Calculate the remainder when 1003876 is divided by 27885. 16 What is the remainder when 56671 is divided by 2480? 2111 Calculate the remainder when 304743 is divided by 25286. 1311 Calculate the remainder when 168008 is divided by 3591. 2822 Calculate the remainder when 132800973 is divided by 5192. 5189 What is the remainder when 23633071 is divided by 985? 951 What is the remainder when 769675 is divided by 8453? 452 What is the remainder when 9813331 is divided by 4094? 13 Calculate the remainder when 11939140 is divided by 52. 44 What is the remainder when 567676 is divided by 972? 28 What is the remainder
{ "pile_set_name": "DM Mathematics" }
7*k + 16 What is the c'th term of -1870462, -3740930, -5611398, -7481866? -1870468*c + 6 What is the m'th term of 1481, 552, -989, -3142, -5907, -9284, -13273? -306*m**2 - 11*m + 1798 What is the c'th term of 1544917, 1544939, 1544961, 1544983? 22*c + 1544895 What is the g'th term of -717, -1248, -2109, -3306, -4845, -6732, -8973, -11574? -g**3 - 159*g**2 - 47*g - 510 What is the j'th term of 3654, 27080, 90704, 214638, 418994? 3352*j**3 - 13*j**2 + j + 314 What is the m'th term of 1098, 4943, 11486, 20733, 32690, 47363, 64758, 84881? m**3 + 1343*m**2 - 191*m - 55 What is the z'th term of 35502, 47730, 59956, 72180, 84402, 96622, 108840? -z**2 + 12231*z + 23272 What is the d'th term of -83602, -167214, -250812, -334396? 7*d**2 - 83633*d + 24 What is the p'th term of 8567, 8652, 8883, 9332, 10071? 12*p**3 + p**2 - 2*p + 8556 What is the d'th term of -82477220, -164954442, -247431664, -329908886, -412386108, -494863330? -82477222*d + 2 What is the s'th term of -2771, -12151, -28149, -50765? -3309*s**2 + 547*s - 9 What is the f'th term of -57522534, -57522538, -57522544, -57522552, -57522562, -57522574? -f**2 - f - 57522532 What is the r'th term of -13105, -26137, -39039, -51745, -64189? 11*r**3 - r**2 - 13106*r - 9 What is the v'th term of -2171, -8984, -20339, -36236, -56675, -81656, -111179? -2271*v**2 + 100 What is the n'th term of 359233, 718529, 1077825? 359296*n - 63 What is the j'th term of -65493, -65491, -65483, -65469, -65449? 3*j**2 - 7*j - 65489 What is the d'th term of -412, -1041, -2038, -3403, -5136? -184*d**2 - 77*d - 151 What is the y'th term of -396612646, -396612645, -396612644, -396612643, -396612642, -396612641? y - 396612647 What is the w'th term of -14780, -13425, -12072, -10721, -9372, -8025? -w**2 + 1358*w - 16137 What is the y'th term of -587343, -587349, -587365, -587397, -587451, -587533? -y**3 + y**2 - 2*y - 587341 What is the y'th term of 23336, 20768, 18200, 15632? -2568*y + 25904 What is the q'th term of 134969295, 134969294, 134969293, 134969292, 134969291? -q + 134969296 What is the p'th term of -16531, -66305, -149263, -265405, -414731, -597241? -16592*p**2 + 2*p + 59 What is the y'th term of -236866007, -236866005, -236866003, -236866001, -236865999? 2*y - 236866009 What is the j'th term of 14306, 28234, 42162? 13928*j + 378 What is the j'th term of 7891001, 15782006, 23673013, 31564022, 39455033, 47346046, 55237061? j**2 + 7891002*j - 2 What is the m'th term of -215200, -215049, -214898, -214747, -214596, -214445? 151*m - 215351 What is the k'th term of -1627041, -3253870, -4880699, -6507528, -8134357, -9761186? -1626829*k - 212 What is the r'th term of 6612, 29862, 69752, 126282, 199452, 289262, 395712? 8320*r**2 - 1710*r + 2 What is the u'th term of -40, -305, -768, -1447, -2360, -3525, -4960? -3*u**3 - 81*u**2 - u + 45 What is the z'th term of 165355934, 165355935, 165355936, 165355937? z + 165355933 What is the z'th term of -25334838, -25334837, -25334836, -25334835, -25334834, -25334833? z - 25334839 What is the r'th term of -950218, -7601680, -25655650, -60813382, -118776130? -950209*r**3 + r - 10 What is the m'th term of 12394230, 12394235, 12394240, 12394245, 12394250, 12394255? 5*m + 12394225 What is the o'th term of 381, 931, 1893, 3279, 5101, 7371, 10101? 2*o**3 + 194*o**2 - 46*o + 231 What is the l'th term of -14, -49, -140, -311, -586, -989, -1544, -2275? -4*l**3 - 4*l**2 + 5*l - 11 What is the h'th term of -88370, -88360, -88340, -88310? 5*h**2 - 5*h - 88370 What is the a'th term of 17369388, 34738777, 52108170, 69477567, 86846968, 104216373, 121585782? 2*a**2 + 17369383*a + 3 What is the a'th term of -130690, -263275, -395862, -528451, -661042, -793635? -a**2 - 132582*a + 1893 What is the y'th term of 1748203, 1748238, 1748273, 1748308? 35*y + 1748168 What is the x'th term of -100725, -100731, -100753, -100797, -100869? -x**3 - 2*x**2 + 7*x - 100729 What is the v'th term of -358, -2420, -5848, -10642, -16802, -24328? -683*v**2 - 13*v + 338 What is the y'th term of -63066, -126134, -189202? -63068*y + 2 What is the p'th term of -24429, -21480, -18531? 2949*p - 27378 What is the d'th term of -4720403, -4720221, -4720039, -4719857? 182*d - 4720585 What is the z'th term of 180872, 361869, 542852, 723821, 904776, 1085717, 1266644? -7*z**2 + 181018*z - 139 What is the z'th term of 1196693, 2393365, 3590037, 4786709? 1196672*z + 21 What is the r'th term of 1238963472, 2477926943, 3716890414, 4955853885, 6194817356? 1238963471*r + 1 What is the a'th term of -650, -2053, -3338, -3641, -2098, 2155? 144*a**3 - 805*a**2 + 4*a + 7 What is the s'th term of -44179, -92528, -140877, -189226, -237575, -285924? -48349*s + 4170 What is the t'th term of -79559, -79658, -79761, -79868, -79979, -80094? -2*t**2 - 93*t - 79464 What is the q'th term of 67241, 134320, 201425, 268568, 335761, 403016, 470345, 537760? 2*q**3 + q**2 + 67062*q + 176 What is the q'th term of -1662, -3704, -6508, -10458, -15938, -23332, -33024? -64*q**3 + 3*q**2 - 1603*q + 2 What is the a'th term of 17073804, 17073832, 17073860? 28*a + 17073776 What is the f'th term of 21734, 86924, 195568, 347666, 543218, 782224? 21727*f**2 + 9*f - 2 What is the t'th term of -46693, -91391, -136089? -44698*t - 1995 What is the k'th term of 213025, 213108, 213193, 213280, 213369? k**2 + 80*k + 212944 What is the q'th term of -4488, -17969, -40442, -71907? -4496*q**2 + 7*q + 1 What is the c'th term of -3923277, -3923286, -3923311, -3923358, -3923433, -3923542, -3923691, -3923886? -c**3 - 2*c**2 + 4*c - 3923278 What is the r'th term of -333, -1188, -2581, -4512? -269*r**2 - 48*r - 16 What is the q'th term of 6074, 24093, 54058, 95969, 149826? 5973*q**2 + 100*q + 1 What is the p'th term of 44662, 48012, 51362, 54712, 58062? 3350*p + 41312 What is the k'th term of -34969, -35109, -35255, -35407, -35565? -3*k**2 - 131*k - 34835 What is the r'th term of 357335138, 357335137, 357335136, 357335135? -r + 357335139 What is the x'th term of -3755, -7205, -10349, -13187? 153*x**2 - 3909*x + 1 What is the n'th term of 176400, 705939, 1588504, 2824095, 4412712, 6354355, 8649024? 176513*n**2 - 113 What is the o'th term of -819631, -1639260, -2458891, -3278524, -4098159, -4917796? -o**2 - 819626*o - 4 What is the i'th term of -4182172, -8364392, -12546698, -16729132, -20911736? -7*i**3 - i**2 - 4182168*i + 4 What is the z'th term of -84564, -159239, -233914, -308589, -383264, -457939? -74675*z - 9889 What is the n'th term of 264390, 263541, 262692? -849*n + 265239 What is the f'th term of -75849, -150547, -225245, -299943, -374641, -449339? -74698*f - 1151 What is the o'th term of 42445454, 42445448, 42445442, 42445436, 42445430, 42445424? -6*o + 42445460 What is the v'th term of -1991, -4854, -7717? -2863*v + 872 What is the t'th term of -1945, -3052, -4907, -7516, -10885? -t**3 - 368*t**2 + 4*t - 1580 What is the m'th term of -341, -1102, -2285, -3890, -5917, -8366, -11237? -211*m**2 - 128*m - 2 What is the u'th term of -163471, -326871, -490271? -163400*u - 71 What is the z'th term of -3454070, -3454083, -3454096, -3454109? -13*z - 3454057 What is the v'th term of -494561, -494824, -495541, -496940, -499249, -502696, -507509, -513916? -38*v**3 + v**2 - 494524 What is the g'th term of -50, -466, -1602, -3824, -7498, -12990? -61*g**3 + 6*g**2 - 7*g + 12 What is the z'th term of 1014, 1457, 1900, 2343? 443*z + 571 What is the n'th term of 1571, 4245, 6885, 9491, 12063, 14601? -17*n**2 + 2725*n - 1137 What is the b'th term of 2030566, 4061131, 6091696, 8122261, 10152826, 12183391? 2030565*b + 1 What is the u'th term of 455, 1357, 2857, 4955, 7651, 10945? 299*u**2 + 5*u + 151 What is the z'th term of -893, 3162, 17115, 45916, 94515, 167862, 270907, 408600? 825*z**3 - z**2 - 1717*z What is the h'th term of 484853, 1939389, 4363617, 7757537, 12121149? 484846*h**2 - 2*h + 9 What is the v'th term of -440884, -440926, -440968, -441010, -441052, -441094? -42*v - 440842 What is the g'th term of -6707, -10205, -13703, -17201, -20699, -24197? -3498*g - 3209 What is the q'th term of -186417, -377462, -568507, -759552, -950597, -1141642? -191045*q + 4628 What is the i'th term of -1350, -890, 352, 2766, 6742? 65*i**3 + i**2 + 2*i - 1418 What is the k'th term of 1834, 7411, 16850, 3027
{ "pile_set_name": "DM Mathematics" }
99) - (sqrt(99) + -1)))))**2. -324*sqrt(11) + 8054 Simplify (3*(sqrt(88) + (sqrt(88) - (sqrt(88) - -1*sqrt(88)) - sqrt(88))*-2)*-4)/(sqrt(72) + -4*sqrt(72)*1 + -2*sqrt(72)*5). 20*sqrt(11)/13 Simplify ((-3*(0 + sqrt(567) + -3) - (-5 + (sqrt(567) - (sqrt(567) + -2 + sqrt(567))) + sqrt(567) + -4))**2*-3 + 2)*-1. -2592*sqrt(7) + 16075 Simplify (3*(-1*sqrt(80) - sqrt(40)/(sqrt(2) + sqrt(18))))**2 - ((2 + -2*sqrt(125) + sqrt(125) + sqrt(125) + sqrt(125) + 3*(-1 + sqrt(125)))**2 + 3). -4371/4 + 40*sqrt(5) Simplify (-3*(-3 + 1 + -4*(sqrt(1200) + (sqrt(1200) + -2*sqrt(1200) + sqrt(1200))*-6 + sqrt(1200))))**2. 5760*sqrt(3) + 691236 Simplify (((-1 + 1*(sqrt(1584) - (0 + sqrt(1584) + -4 - sqrt(1584)) - sqrt(1584)))*-2 + 4)*-2)**2. 16 Simplify (sqrt(190) - (sqrt(190) + 1*sqrt(190)*2))/(sqrt(60)/sqrt(150)) - (4 + 3*(sqrt(19) + 1 - sqrt(19))*-3 + 5). -10*sqrt(19) Simplify (sqrt(152)/((sqrt(96) + 5*sqrt(96))/sqrt(12)) + 3*(sqrt(152)/sqrt(8) + 1) + -4)**2 + -5. -19*sqrt(19)/3 + 6715/36 Simplify ((2*(sqrt(1216) + (sqrt(1216) + sqrt(1216)*1)*5 + -4) - ((5 + sqrt(1216) + 0 - (1 + sqrt(1216) + -4)) + -3)) + -4)**2. -5984*sqrt(19) + 588833 Simplify (-6*(1 + -6*sqrt(44)/(sqrt(8)/sqrt(2)))**2 + 0)*3. -7146 + 216*sqrt(11) Simplify (-3 + sqrt(38)/sqrt(2))**2*-6*3 + 0 - ((sqrt(152) + -1*sqrt(152)*-6)/sqrt(8) + 5*(-1 + sqrt(1216))). -499 + 61*sqrt(19) Simplify -5*-2*(-1*(1 + sqrt(176)) + sqrt(99) + -1 + sqrt(99) + (-1 + sqrt(11) + 0)**2)*-4. -400 Simplify -5*(1 + sqrt(117) + sqrt(104)/sqrt(2) + -2) + 1 + -1 + ((sqrt(832) + -1)*-4 + sqrt(832))**2. -217*sqrt(13) + 7509 Simplify (4 + 4*(4*-3*(-3 + sqrt(1377) + 0) + -1) + 2)**2. -126144*sqrt(17) + 3193924 Simplify 4*(5 + (sqrt(10)/(sqrt(98)*4 - sqrt(2)))**2 + (6*-2*sqrt(5) + sqrt(5))**2 + ((sqrt(120)/sqrt(6))**2 - sqrt(5))). -4*sqrt(5) + 1837100/729 Simplify (1 + -4*(sqrt(200)*-4 - sqrt(200) - sqrt(200) - sqrt(200)))**2*1 - (sqrt(200)*1 + sqrt(200) + -4 + -4 + (sqrt(200) - sqrt(200)*6)). 590*sqrt(2) + 156809 Simplify ((3*(0 + sqrt(425))*1)**2 - ((sqrt(425)*1 - sqrt(425)) + 0 - ((sqrt(425) + (sqrt(425) + 1 - sqrt(425))**2 + sqrt(425))*-1 + sqrt(425))))*-5*-4. -100*sqrt(17) + 76480 Simplify -5 + ((sqrt(200) - (sqrt(200)*2*-5 + sqrt(200)))**2 + 2 - (sqrt(200)*1 + sqrt(200) + -2 + ((sqrt(200) + 1)*2 + sqrt(200))**2))*-6. -109205 + 840*sqrt(2) Simplify ((sqrt(119) - 2*sqrt(119)*-2) + sqrt(119))/(sqrt(7) + (sqrt(7) - (sqrt(7) + (sqrt(77)*-3)/sqrt(11)))) - (-1*sqrt(187)*2)/((2*sqrt(33))/sqrt(3)). 5*sqrt(17)/2 Simplify 5 + (sqrt(700)*-5 - sqrt(7)) + -3 + 1*sqrt(49)/(sqrt(7)*6*2) + -4. -611*sqrt(7)/12 - 2 Simplify (sqrt(228)/(3*sqrt(588)) - (sqrt(304) + -2 + 5)**2) + 1 + 5. -307 - 503*sqrt(19)/21 Simplify 3*((4*-2*(sqrt(78) + (2*sqrt(78) - sqrt(78) - sqrt(78) - sqrt(78)) - sqrt(78)))/(((2*sqrt(72))/sqrt(2) - sqrt(36))/sqrt(6)) + 3 + 3)**2. 288*sqrt(13) + 2604 Simplify ((3*(-3 + sqrt(1200)))**2 - ((sqrt(363) - (sqrt(363) - (0 + sqrt(363)))*2)**2 - 5*(-2 + sqrt(363))**2)) + 5. -1300*sqrt(3) + 12358 Simplify (0 + (sqrt(117) + -4*(1*sqrt(117) - sqrt(117)))/((sqrt(81) + -2*sqrt(81) - sqrt(81))/sqrt(9)) + -4 + 5)*3. -3*sqrt(13)/2 + 3 Simplify (-5*((sqrt(1764) - (sqrt(1764) - (sqrt(1764) - 2*sqrt(1764) - sqrt(1764))*-1)) + sqrt(1764) - sqrt(1764)))/(-2*-3*sqrt(36)/sqrt(3)*-6). 35*sqrt(3)/18 Simplify (sqrt(468)/(sqrt(24)/sqrt(2) + sqrt(12)) + sqrt(39) + sqrt(39) + sqrt(39) + sqrt(234)/sqrt(6)*-3)/((5*sqrt(33)*-2)/(-2*sqrt(891))). 9*sqrt(13)/10 Simplify ((sqrt(60) + sqrt(2160) + sqrt(60))/sqrt(6) - sqrt(20)/sqrt(2)*-3)/(sqrt(80) + 2*(1*sqrt(80) + sqrt(80)) + sqrt(80) + sqrt(80) + sqrt(80)*-1*2)*6. 33*sqrt(2)/10 Simplify (((sqrt(256) + -4*sqrt(256))*-1*-3)/(5*(1*sqrt(200) + sqrt(200))*-3))**2. 72/625 Simplify ((sqrt(624) - -5*-1*sqrt(624)) + sqrt(624) - (sqrt(624)*2 + sqrt(624))*-2)/(4*(sqrt(192) - sqrt(192)*-2)). sqrt(13)/8 Simplify (-1 + sqrt(200) + -5 + 5 + sqrt(200)*3)*5 + 4. -1 + 200*sqrt(2) Simplify (-2 + ((sqrt(704) + (-5*sqrt(704)*2 - sqrt(704)))*-2 + -6*(sqrt(704) + 1 + 2))*-1 + -1)**2. -3360*sqrt(11) + 138209 Simplify -1*(((sqrt(2736)*2*1 + 2 + sqrt(2736)*1)*-5)**2 + (3*(sqrt(2736) + 1)*-1*-3)**2). -837397 - 5544*sqrt(19) Simplify (5 + 6*(sqrt(300) - 3*sqrt(300) - sqrt(300))*-6)**2 - 6*(0 + -1 + sqrt(300) + 1). 10740*sqrt(3) + 3499225 Simplify -2*(3*(sqrt(208) + (sqrt(208) - 1*(sqrt(208) + sqrt(208) + -2 - sqrt(208)))) - (0 + -5*sqrt(208)*-2))**2*1. -20456 + 672*sqrt(13) Simplify (sqrt(91) + -6*3*sqrt(91) + sqrt(91) + sqrt(91) - (sqrt(91) - (sqrt(91)*-3 + sqrt(91))*1))/(sqrt(343) - sqrt(343)*6*4). 18*sqrt(13)/161 Simplify ((5*(sqrt(108) + sqrt(108)*1*6))/((-2*sqrt(108)*-6)/(-5*(sqrt(12) + sqrt(12)*-2))))**2. 30625/12 Simplify ((3*-2*sqrt(308) - sqrt(308))/(sqrt(99)*1 - sqrt(11)))/(sqrt(2304) - (-5*(sqrt(2304) - (sqrt(2304)*1 - sqrt(2304))) + sqrt(2304) + sqrt(2304))). -7*sqrt(7)/192 Simplify (5 + 1 + -1 + sqrt(68) + 4 + -2*sqrt(68) - -2*(sqrt(17) + sqrt(833) + -1)*4*-6)**2. -44004*sqrt(17) + 2536181 Simplify 2 + 0 + (5 + sqrt(76) + 0 + -1 + -4*(0 + sqrt(76)) + -5)**2. 12*sqrt(19) + 687 Simplify ((sqrt(180)*3 + 1)*2 + 1*(-5 + sqrt(180) + 4))**2. 84*sqrt(5) + 8821 Simplify (1*2*sqrt(153)*-6)/(sqrt(81)/(-3*sqrt(9)) + 2*sqrt(900)). -36*sqrt(17)/59 Simplify (2*sqrt(6897)*3 + sqrt(6897) - sqrt(6897)*-1*5)/(1*sqrt(75) + sqrt(3) + (sqrt(3) + (sqrt(3) - sqrt(12)))*2). 22*sqrt(19) Simplify (sqrt(130)*-3*-1)/sqrt(360) + (sqrt(39)/(sqrt(12)/sqrt(4)) - (sqrt(13) - (sqrt(13) + 0))*5 - 3*(sqrt(1300) + 0 - sqrt(1300))**2). 3*sqrt(13)/2 Simplify (1*1*sqrt(170) + (sqrt(170) + 4*sqrt(170))*-4)/(2*((1*sqrt(1440) + sqrt(1440) - sqrt(1440)) + sqrt(1440))*3). -19*sqrt(17)/144 Simplify (((0 + (sqrt(133)*-2)/sqrt(7))*-5 + -2 + sqrt(76) + sqrt(76)/sqrt(4)*-4 + -3)*5)**2. -2000*sqrt(19) + 31025 Simplify (5*(4 + (4 + (sqrt(891) + -1 - sqrt(891)) - sqrt(891))))**2 + 4 + 2*(sqrt(11) + -1) + (1 + (1*sqrt(11))**2 - sqrt(11))*6. -3154*sqrt(11) + 23574 Simplify (1*(sqrt(209) - sqrt(209)*1*6)*-2)/(5*3*1*sqrt(891)). 2*sqrt(19)/27 Simplify 6*sqrt(576)/(sqrt(192) - (sqrt(192) - (2*sqrt(192) - sqrt(192)))) + (sqrt(384) + 2*-2*sqrt(384))/((sqrt(80)*2)/sqrt(10)). 0 Simplify (-6*sqrt(96) + sqrt(6))/(sqrt(12) + sqrt(12)*1) + (sqrt(20) - sqrt(220)/(sqrt(33)/sqrt(3)))/(sqrt(30)/sqrt(3)*2) + -5. -23*sqrt(2)/4 - 5 Simplify ((sqrt(448) - (-4*(sqrt(448) + 1*sqrt(448)))**2) + 5 + 1*sqrt(448) + (3*(-2*sqrt(448) - sqrt(448)) - -4*(sqrt(448) + 0)))*3. -86001 - 72*sqrt(7) Simplify (-3*(-3 + (sqrt(2448) + 2)*1) - (5 + (-5 + sqrt(2448) + -1 - (4 + sqrt(2448) + 0))**2)) + -4. -36*sqrt(17) - 106 Simplify (sqrt(1872)*2 - sqrt(78)/sqrt(6)*-5)*-2*-4*-6 + -3. -1392*sqrt(13) - 3 Simplify -6*(sqrt(19)*1 - sqrt(19))*4 + (-1 + sqrt(475) + -3)**2 - (2 + sqrt(2736) + 0 + sqrt(2736) + (sqrt(2736) + sqrt(2736) + 1)**2*2 + 4). -21405 - 160*sqrt(19) Simplify (-1 + (-1 + sqrt(1300))**2 - ((sqrt(1300)*2)**2 + -4)) + -1 - 6*(-2*(sqrt(1300) + 0)*4)**2. -503097 - 20*sqrt(13) Simplify -3*(1 + 1*(-3 + sqrt(1900))**2 + -4*(sqrt(304) + 1)*-2). -5754 + 84*sqrt(19) Simplify 5 + 6*((1*(-3 + 1*sqrt(125)))**2 + 1 + 1*sqrt(125) + 0). -150*sqrt(5) + 815 Simplify (4 + (sqrt(12)*1 - sqrt(12))/sqrt(6) + 5 + -5 + (-1*sqrt(288))/(sqrt(256)*-1 + sqrt(256) + sqrt(256) - sqrt(4)))**2. -48*sqrt(2)/7 + 856/49 Simplify ((-3*(sqrt(76) - (sqrt(76) - ((-5*sqrt(76)*-4 - sqrt(76)) + sqrt(76))) - sqrt(76) - sqrt(76)))/((-6*sqrt(324) - sqrt(324))*-6))**2. 19/49 Simplify ((5*sqrt(833)*-1 - ((sqrt(833) + 1 - sqrt(833)) + -1)) + -1*(-1 + sqrt(612)*2))**2. -94*sqrt(17) + 37554 Simplify (1 + ((sqrt(108)/sqrt(4))/sqrt(9) - (sqrt(9)/sqrt(3) + -2))**2)*3 - (sqrt(24) - 3*sqrt(72)/sqrt(3))/(-3*(sqrt(48)/sqrt(6) + sqrt(8)) - sqrt(8)). -2*sqrt(3)/7 + 15 Simplify ((sqrt(2448) - (1 + sqrt(2448))) + 2 + sqrt(2448) + sqrt(2448)*1 + 2 - (-3*sqrt(2448)*3 + (sqrt(2448) - -1*(sqrt(2448) - sqrt(2448)*2))))**2. 792*sqrt(17) + 296217 Simplify (sqrt(882)*2 + 3*sqrt(126)/sqrt(7))/((sqrt(81) + 2*sqrt(81))*-4 + 1*(sqrt(81)*2 + sqrt(81))). -17*sqrt(2)/27 Simplify ((-2*sqrt(95) - sqrt(95))*-5 - sqrt(95))/(sqrt(320)*1) + (-2*sqrt(228)*-3)/(sqrt(72)/sqrt(96)). 103*sqrt(19)/4 Simplify (6*(sqrt(68) + (sqrt(68)*-3 - sqrt(68))) + sqrt(68))**2 + -5 - (sqrt(85) - (sqrt(85) - -4*(2*sqrt(85) - sqrt(85))))/(-2*(sqrt(80) + sqrt(5))). -2*sqrt(17)/5 + 19647 Simplify 2 + ((s
{ "pile_set_name": "DM Mathematics" }
How many milligrams are there in 0.9521426ug? 0.0009521426 Convert 38115.144ms to hours. 0.01058754 What is 18434.727 minutes in hours? 307.24545 What is one quarter of a century in months? 300 What is 3/8 of a litre in millilitres? 375 How many hours are there in ten sevenths of a week? 240 What is 17/2 of a meter in millimeters? 8500 What is one fifth of a millennium in years? 200 Convert 9193.947l to millilitres. 9193947 What is 33/5 of a litre in millilitres? 6600 Convert 0.1472949 milliseconds to microseconds. 147.2949 How many micrograms are there in thirty-one halves of a milligram? 15500 Convert 58.97354 millilitres to litres. 0.05897354 Convert 5242.407 micrometers to nanometers. 5242407 How many millilitres are there in 955.1273 litres? 955127.3 Convert 592651.2 millilitres to litres. 592.6512 How many millilitres are there in twenty-five quarters of a litre? 6250 What is eleven tenths of a litre in millilitres? 1100 How many micrometers are there in 2265.49 millimeters? 2265490 How many kilometers are there in 60.3673um? 0.0000000603673 What is 325609.9 decades in millennia? 3256.099 How many milligrams are there in 15/4 of a gram? 3750 What is 1/10 of a litre in millilitres? 100 What is 3.784219 decades in months? 454.10628 What is 6/5 of a day in minutes? 1728 Convert 1.3990617 milliseconds to minutes. 0.000023317695 How many decades are there in 55/4 of a millennium? 1375 Convert 67289.51m to kilometers. 67.28951 Convert 67.79092 decades to years. 677.9092 How many millilitres are there in 3/25 of a litre? 120 What is 77705.97 centuries in millennia? 7770.597 How many days are there in twelve sevenths of a week? 12 What is 11/8 of a kilogram in grams? 1375 How many months are there in 13/4 of a century? 3900 Convert 9.425801 litres to millilitres. 9425.801 How many minutes are there in eight thirds of a week? 26880 How many months are there in 4/15 of a millennium? 3200 How many kilograms are there in 803241.4mg? 0.8032414 How many micrograms are there in 7/8 of a milligram? 875 Convert 1199.852m to kilometers. 1.199852 What is 3.4759725 days in weeks? 0.4965675 How many microseconds are there in three eighths of a millisecond? 375 What is three fifths of a decade in years? 6 How many months are there in 73/3 of a decade? 2920 What is thirty-seven fifths of a centimeter in millimeters? 74 Convert 6.742075ml to litres. 0.006742075 How many millilitres are there in 819194.2 litres? 819194200 How many micrometers are there in nine sixteenths of a centimeter? 5625 How many micrometers are there in 1/16 of a centimeter? 625 What is 0.1120939 years in months? 1.3451268 What is 13/5 of a litre in millilitres? 2600 How many millennia are there in 71176.14 months? 5.931345 How many seconds are there in seventeen halves of a minute? 510 How many meters are there in 386599.8 millimeters? 386.5998 What is twenty-seven fifths of a gram in milligrams? 5400 How many kilograms are there in eleven quarters of a tonne? 2750 What is seven quarters of a litre in millilitres? 1750 How many nanometers are there in 5.811147mm? 5811147 How many millilitres are there in 37/5 of a litre? 7400 How many millilitres are there in 110349.9l? 110349900 What is twenty-nine fifths of a litre in millilitres? 5800 How many years are there in 9/10 of a decade? 9 What is 11/2 of a year in months? 66 How many minutes are there in 1/10 of a week? 1008 Convert 37.17874mm to micrometers. 37178.74 How many nanograms are there in 28696.86 tonnes? 28696860000000000000 How many decades are there in thirty-two fifths of a millennium? 640 How many grams are there in 1/10 of a kilogram? 100 How many meters are there in 61.86695 micrometers? 0.00006186695 What is 0.3924768 seconds in milliseconds? 392.4768 How many minutes are there in seventy-seven thirds of a day? 36960 Convert 702281.8 nanometers to kilometers. 0.0000007022818 What is twenty-one quarters of a decade in months? 630 What is 1987645.8 months in millennia? 165.63715 What is 1/20 of a microgram in nanograms? 50 How many millennia are there in 15.18483 years? 0.01518483 Convert 0.0090601 centuries to years. 0.90601 What is 13/7 of a week in hours? 312 Convert 22.28729 weeks to hours. 3744.26472 What is 6/5 of a kilogram in grams? 1200 Convert 220.5498um to centimeters. 0.02205498 How many millilitres are there in fourty-three quarters of a litre? 10750 How many days are there in 72.13716 minutes? 0.05009525 How many milligrams are there in 3/10 of a gram? 300 How many milliseconds are there in 7.797913 hours? 28072486.8 How many seconds are there in 63536.38 nanoseconds? 0.00006353638 What is 204345.8mm in centimeters? 20434.58 What is 3/10 of a century in decades? 3 How many weeks are there in 172371.36 hours? 1026.02 Convert 297306.9 days to hours. 7135365.6 What is 3/16 of a centimeter in micrometers? 1875 What is 1/4 of a gram in milligrams? 250 What is twenty-nine halves of a litre in millilitres? 14500 How many millilitres are there in 30.60448l? 30604.48 Convert 532.4178 tonnes to kilograms. 532417.8 How many months are there in 47.98693 centuries? 57584.316 How many centuries are there in 3/10 of a millennium? 3 How many millilitres are there in 1/4 of a litre? 250 What is 13/8 of a day in minutes? 2340 What is 0.468351 years in decades? 0.0468351 How many millilitres are there in 29/2 of a litre? 14500 How many litres are there in 994.8252 millilitres? 0.9948252 What is 1/4 of a microgram in nanograms? 250 How many seconds are there in four thirds of a minute? 80 What is 100.6333mm in meters? 0.1006333 Convert 183.313mg to nanograms. 183313000 Convert 0.2253978 millilitres to litres. 0.0002253978 Convert 0.4368733ng to grams. 0.0000000004368733 What is 43/2 of a microgram in nanograms? 21500 What is 21/5 of a millennium in months? 50400 Convert 4.312347t to nanograms. 4312347000000000 How many decades are there in fifty-four fifths of a millennium? 1080 What is four thirds of a week in minutes? 13440 How many meters are there in one fifth of a kilometer? 200 How many years are there in 9/10 of a decade? 9 Convert 9.110221um to meters. 0.000009110221 What is 1.71345 micrograms in kilograms? 0.00000000171345 What is 25/4 of a litre in millilitres? 6250 What is seven halves of a micrometer in nanometers? 3500 How many milligrams are there in 8/25 of a gram? 320 Convert 207.515 decades to months. 24901.8 How many millimeters are there in 0.6725323 nanometers? 0.0000006725323 What is six fifths of a litre in millilitres? 1200 What is 10/21 of a week in minutes? 4800 How many minutes are there in 2.1512031ms? 0.000035853385 What is 3/25 of a kilometer in meters? 120 How many millilitres are there in one fifth of a litre? 200 How many months are there in three eighths of a decade? 45 Convert 343.5947 kilometers to millimeters. 343594700 How many millimeters are there in one fifth of a centimeter? 2 What is 134.9195ml in litres? 0.1349195 What is 7/4 of a day in minutes? 2520 How many nanoseconds are there in 904689.1 microseconds? 904689100 How many tonnes are there in 423574.8 micrograms? 0.0000004235748 What is six fifths of a minute in milliseconds? 72000 What is 6.917828 years in decades? 0.6917828 How many centuries are there in 0.7768825 decades? 0.07768825 How many milligrams are there in nine tenths of a gram? 900 How many nanograms are there in 11/2 of a microgram? 5500 What is 1100771.154us in weeks? 0.000001820058125 How many litres are there in 96144.2ml? 96.1442 How many millilitres are there in nine tenths of a litre? 900 How many milligrams are there in seven quarters of a gram? 1750 How many millilitres are there in five eighths of a litre? 625 What is 7/2 of a meter in millimeters? 3500 What is 5/4 of a litre in millilitres? 1250 What is 81281.49 millilitres in litres? 81.28149 How many micrograms are there in 0.3232427 tonnes? 323242700000 How many millilitres are there in 3/8 of a litre? 375 Convert 24681.63 millilitres to litres. 24.68163 What is one quarter of a kilogram in grams? 250 What is 1.44894 hours in minutes? 86.9364 Convert 68111.3 decades to years. 681113 What is 3764.79 seconds in milliseconds? 3764790 How many seconds are there in 27/2 of a hour? 48600 Convert 0.9674841ml to
{ "pile_set_name": "DM Mathematics" }
Let h(i) = -i**3 + 6*i**2 - 5*i + 2. Let v be h(5). Suppose -5*z = -3*g + 12, -3*g - v*z = -6*z - 9. Put g, f, 1 in descending order. 1, g, f Let o = 4 - 3.9. Put 11, -1, o in decreasing order. 11, o, -1 Let b(s) = -s**3 - s. Let y(m) = 2*m**2 - m. Let h be y(1). Let o be b(h). Let j = -1 - -1. Put j, o, -1 in increasing order. o, -1, j Suppose -5*v + 18 = 4*n, -4*n + 3*v = 5*v - 12. Sort -1, n, 8, -5 in decreasing order. 8, n, -1, -5 Suppose 0 = d - 2 - 4. Suppose -3*m = -d*m. Suppose 3*u - 2*u - 2 = m. Put 5, -4, u in increasing order. -4, u, 5 Let i(z) be the second derivative of -z**5/20 - z**4/6 + z**2 + 4*z. Let s be i(-2). Put -3, s, 4 in descending order. 4, s, -3 Suppose 14 + 14 = -4*d. Let n be 58/(-18) + (-21)/d. Sort n, -0.05, 0.1 in descending order. 0.1, -0.05, n Let s = 21 - 11. Let f(c) be the second derivative of -c**3/6 + 5*c**2/2 + 2*c. Let u be f(s). Put 0, u, 5 in descending order. 5, 0, u Let p(m) = -m**2 + 7*m + 1. Let t be p(7). Suppose k = -4*k - 5. Let j = 6 + k. Sort -3/8, t, j in decreasing order. j, t, -3/8 Let p = 1.66 - 1.26. Sort -4, -1/3, p, -2/3. -4, -2/3, -1/3, p Let d(y) = -4*y - 1. Let w be d(-1). Let n be 2 - (3 + 0 + -4). Suppose n*z = 4*z. Sort -4, w, z in ascending order. -4, z, w Let p be (3 - -1)*25/20. Let q be (-10)/(-6) - (-6)/(-9). Sort p, q, -2. -2, q, p Let s(z) = -z**2 - 4*z + 3. Let l be s(-5). Let b(f) = -10 + f - f + f. Let c be b(7). Sort l, -1, c in decreasing order. -1, l, c Let l = -409/5320 - -3/152. Let n = l - 52/315. Let d = 5/4 - 2. Sort n, d, -4/5 in increasing order. -4/5, d, n Let v = 1 + 3. Let b = -2 + v. Suppose 0*f - 2 = b*f. Put f, 0.2, -4/5 in decreasing order. 0.2, -4/5, f Let k = 1.8 - -5.2. Sort -4, 2/5, k in decreasing order. k, 2/5, -4 Suppose j = -2*n + 6, 0*j + 11 = -5*n + 4*j. Suppose -3*p - p = -72. Let w = p + -13. Sort n, 2, w in increasing order. n, 2, w Let a be (0 - 0) + (-1 - -3). Let x be ((-54)/8)/((-8)/32). Suppose -5*w - a = -x. Put 3, w, -5 in descending order. w, 3, -5 Suppose -3*p + 3*y = 21, 2*y = -4*p + 4*y - 24. Sort 17, 4, p. p, 4, 17 Let q be (-34)/51 - (1 - 2). Sort 2/7, 6, q in decreasing order. 6, q, 2/7 Let m = 3 + -2. Suppose 0 = -4*v + 15 - 3. Let k = 11 + -7. Sort v, m, k. m, v, k Let z(f) = f + 2. Let r be z(-1). Sort -3, 2, r in descending order. 2, r, -3 Let o = -0.29 - -0.69. Put -1, o, 1 in descending order. 1, o, -1 Let f = 29 - 28. Put -3, f, 4 in decreasing order. 4, f, -3 Suppose 10 = -3*w - 2. Let t be 2/(-5) - 352/(-80). Sort t, w, -5. -5, w, t Suppose 0*q = -q. Suppose -5*b + q*b - 5 = 0. Let f = b + 6. Put 1, f, -5 in ascending order. -5, 1, f Let f = 6 - 5. Let b be 6/10 + (-10)/25. Put f, 0, b in descending order. f, b, 0 Let a = 1.25 - 1.3. Sort a, 5, -5 in ascending order. -5, a, 5 Suppose 3*f + 8 = -7. Let w be 3 + f/1 - 3. Sort w, 1/3, -2/7 in increasing order. w, -2/7, 1/3 Let b = 22 + -16. Let j = b - 2. Let m = 0.2 - 0.4. Sort 2, j, m in decreasing order. j, 2, m Let h = -0.145 + 0.115. Put h, -0.5, 1/4, 4 in ascending order. -0.5, h, 1/4, 4 Let r = -1.29 - -0.09. Let t = r + 6.2. Sort 2, -1/2, t in descending order. t, 2, -1/2 Suppose -4*r = r. Suppose -b - 21 = -3*d - r*b, -b = d - 3. Suppose d*x = 4*x. Put x, 4, 5 in descending order. 5, 4, x Let f = -0.13 - -4.13. Put -2/5, -4, f in increasing order. -4, -2/5, f Let y = -11.4 + 11. Let u = -0.2 - y. Sort u, -0.2, 1. -0.2, u, 1 Let t be (-6)/(-52)*22 - 1. Let m = 86/39 - t. Sort 1/2, m, 4. 1/2, m, 4 Let c = 93 + -88. Put c, 2/5, 0, -0.05 in decreasing order. c, 2/5, 0, -0.05 Let v = 2 - 1. Let p = v - 1. Sort p, -2, 0.2. -2, p, 0.2 Suppose -3*u - 5 = -5*s - 46, -5*u + 2*s + 62 = 0. Suppose k + u = -3*k. Let x = k - -2. Put -4, 4, x in ascending order. -4, x, 4 Let u = -7 - -3. Suppose -6 = 4*q - 2*q. Sort 4, u, q in descending order. 4, q, u Suppose 0 = -0*b + 2*b - 6. Put b, 9, -4 in descending order. 9, b, -4 Let j = 5 - 4. Sort -5, 5, j in ascending order. -5, j, 5 Suppose -10*y + 4*y = 6. Let s(x) = x**3 - x**2 - 2*x + 4. Let q be s(3). Suppose q = 2*r - 6*r. Put 1, r, y in increasing order. r, y, 1 Let a(z) = -z**2 - 4*z - 2. Let y(k) = 3*k**2 + 11*k + 5. Let j(v) = 11*a(v) + 4*y(v). Let u be j(2). Put -1, u, 0 in descending order. u, 0, -1 Let y = -2.04 - -0.04. Let g = y - -2.5. Let r = 0.8 - g. Put r, 1/4, -0.3 in descending order. r, 1/4, -0.3 Let c = -0.044 + 3.144. Let t = -0.1 + c. Put t, 2, 0.3 in ascending order. 0.3, 2, t Let l(y) = y - 14. Let v be l(9). Let g = 0 - 0.4. Let w = -0.1 - g. Put -3/7, w, v in descending order. w, -3/7, v Let m be (-3*2 - -3) + -1. Let s(h) = -h**2 + 5*h + 8. Let n be s(6). Suppose -3*x = -2*x - n. Put 3, x, m in increasing order. m, x, 3 Let b be (2/(-6))/(3/(-36)). Suppose r = -b*r + 5. Suppose 5 = -x + r. Put x, 4, 2 in descending order. 4, 2, x Suppose a + 10 = -2*n, -2*n - 2*n - 22 = 3*a. Let v be 23/7 - n/(-14). Sort 4, 1, v in decreasing order. 4, v, 1 Let g(n) = n**3 - 4*n - 4. Suppose -4*i - i - 10 = 0. Let h be g(i). Suppose -3*u - 3 = -3*b, 4*u = -b - 1 - 13. Sort h, b, 1/4 in increasing order. h, b, 1/4 Let v = -40 - -36. Put -5, v, 2, -0.1 in descending order. 2, -0.1, v, -5 Let z = 4 - 5. Let j = z - -3. Suppose -4*p - h - 2 = -3*h, 0 = -2*p - j*h - 16. Sort 1, p, -5 in ascending order. -5, p, 1 Let l be (-1)/((1 - -2)*1). Let f be 44/(-12) - (-4)/6. Put l, 4/7, f in ascending order. f, l, 4/7 Let c(b) = -2*b**3 - 6*b**2 + b + 5. Let q be c(-3). Suppose 7 = 5*r - 8. Put q, r, 4 in increasing order. q, r, 4 Let h = -19 - -15. Put -5, h, 3/7 in descending order. 3/7, h, -5 Let o be (1 + 0)/((-3)/1). Let s = -9 - -10. Sort s, o, 0 in descending order. s, 0, o Suppose 0 = 2*r - x - 7, -5*r = -3*x - 5 - 11. Sort r, -6, -3 in ascending order. -6, -3, r Suppose 3*i + 43 = -i - 3*d, -d = -i - 9. Let p be i/(-8) + 9/12. Suppose s + s - p = 0. Put -5, 5, s in decreasing order. 5, s, -5 Suppose 2*n + 2*t = -t - 13, 5*n + 2*t + 5 = 0. Suppose -v = -5*v. Let o be ((-6)/2)/(1 + v). Sort n, 0, o in decreasing order. n, 0, o Let h = -16 - -14. Sort -0.7, h, 0.4 in increasing order. h, -0.7, 0.4 Let o be (6 + 0)*-6*(-2)/24. Sort -4, o, -3, 4. -4, -3, o, 4 Suppose -w + 3*w - 20 = 4*t, 0 = -3*w + 2*t + 10. Let q = -7 + 4. Let z = 9 + -6. Sort q, w, z in decreasing order. z, w, q Let v(g) = -g**2 + 6*g - 2. Let n be v(4). Let y(m) = m - 7. Let i be y(n). Let p = -4 - -6. Put p, i, -2 in ascending order. -2, i, p Let j = 9.1 - 9. Let o = -3.9 - j. Sort -2, o, -0.1. o, -2, -0.1 Let q(s) = s**2 + 7*s + 7. Let d be q(-5). Let y = -488/7 + 70. Let a = -152/5 + 30. Sort a, d, y in increasing order. d, a, y Let p(q) = 2*q + 9. Let a be p(-5). Sort 4, a, 3. a, 3, 4 Let d be (2 + -252178 + 2)/1. Let a = -19417670/77 - d. Let g = a - -42/11. Sort 2, -0.2, g. -0.2, g, 2 Let k be 3 + (-87)/15 + 3. Let y = 4 - 6. Let p = -1 + 0. Put p, k, y in descending order. k, p, y Let o be (-2)/(-10) + (-2)/(-40). Let p = -5 - -5. Sort p, 3/8, o in decreasing order. 3/8, o, p Suppose 2*z + 5 = 2*b - 3, z = -4*b + 6. Put b, 3, -5 in increasing order. -5, b, 3 Let z(l) = -l**3 + 14*l**2 + 16*l + 7. Let v be z(15). Let x = v + -21. Sort x, -2, -5 in increasing order. -5, -2, x Suppose 5*w + 5*s = 15, -s = 2*w - 4 - 4. Let g(m) = -m**2 + 6*m - 7. Let v be g(w). Suppose 0 = -5*z - 1 + 6. Sort z, -5, v. -5, v, z Let h be (-4 - -2)/(-6)*-3 + -1. Put h, 3, -5 in increasing order. -5, h, 3 Let t be 11/22 - (-3)/2. Let y(n) = -2 + n - t + 4 + 4. Let h be y(-8). Put h, -1, -5 in ascending order. -5, h, -1 Let g = 1.1 + 3.9. Put 4, g, -2/9 in ascending order. -2/9, 4, g Suppose 0 = -t - 5*j, 0*j = 3*j. Suppose -2 - 3 = -5*h. Put h, -4, t in ascending order. -4, t, h Let x(r) = r**2 + 3*r - 3. Let g be x(-4). Let o(u) = u**3 + 4*u**2 + 3*u + 4. Let l be o(-3). Sort g, -2, l in decreasing order. l, g, -2 Let h be (9/15)/(2/10). Suppose 4 + 6 = 2*c - 2*y, 7 = -c - 5*y. Suppose 0 = -u - c*u - 4*q - 8, 4*q + 8 = 0. Put -5, h, u in increasing order. -5, u, h Let w be ((-1)/14)/((-4)/(-16)). Put -0.3, w, 1 in descending order. 1, w, -0.3 Suppose -5*i - 20 = -9*i. Sort 1, 6, i in ascending order. 1, i, 6 Suppose -5*d - 10 = 4*r, 5*r + 41 = d + 14. Put 5, 0, r in descending order. 5, 0, r Let u = 22 + -16. Suppose -2*b = d + 4, 2*b = 2*d - 4*d - u. Put -4, d, 0.4 in
{ "pile_set_name": "DM Mathematics" }
3.4 + 2261945.399895. Let v = 48 + n. What is v rounded to 5 dps? -0.00011 Let c = 125.029912 - 1.024812. Let n = -122 - 2. Let x = c + n. What is x rounded to 3 dps? 0.005 Let b = -145 + 146.22. Let v = b + -1.273. What is v rounded to 2 decimal places? -0.05 Suppose -2*d + 6*d - 160 = 0. Let y be ((-48)/d)/((-1)/(-460)). Let v be (8/6)/((-8)/y). Round v to the nearest 10. 90 Suppose 3*z - 2*z - 5*o - 21152 = 0, 4*o = -5*z + 105818. Let m = z - 13462. Round m to the nearest 1000. 8000 Suppose -3*k + 16 = -2. Let j be (-1)/2 + (-59999997)/k. Round j to the nearest 1000000. -10000000 Let o = 76275715 + -76275804.550371. Let d = o + 85.55037054. Let p = 4 + d. Round p to 7 decimal places. -0.0000005 Let s = 1.53 + -0.8. What is s rounded to one dp? 0.7 Let t = -529.9 + 501. What is t rounded to the nearest integer? -29 Let y = 0.02 + 0.03. Let z = 2.85 - y. Let c = -2.800022 + z. What is c rounded to five decimal places? -0.00002 Let u = 513240 + 3112402. Let w = u - 3625643.0999972. Let c = w + 1.1. Round c to six decimal places. 0.000003 Let d = -3.999999 - -4. What is d rounded to five dps? 0 Let t = 18.9 + -0.9. Let f = t + 17. Let j = -38.2 + f. Round j to 0 decimal places. -3 Let h be (-3)/((-3)/(-11084)) + 2. Let v = -19182 - h. Round v to the nearest one thousand. -8000 Let d = 4.3977 + -74.3928. Let n = -70 - d. Round n to three decimal places. -0.005 Suppose 4*a - 3 - 13 = 0. Let y = a - 2. Suppose 0 = 5*j, y*v - j - j + 100000 = 0. What is v rounded to the nearest ten thousand? -50000 Suppose -5*v - 94 = -6*v - d, 4*v - 352 = 2*d. Round v to the nearest 100. 100 Let d be (-17 + 5)*16*(-1950)/(-8). Round d to the nearest 1000. -47000 Let f(m) = -1000*m**3 - m**2 + m + 6. Let g be f(3). What is g rounded to the nearest ten thousand? -30000 Let u = 3.356 + 2916.644. Let k = -2899.045 + u. Let s = -21 + k. Round s to two dps. -0.05 Let y = -21 + 21.0000109. Round y to six decimal places. 0.000011 Let u be 290002 - (-6 + -4)/(-5). What is u rounded to the nearest 100000? 300000 Let k = 1.36 - 0.08. Let a = k + -1.89. Let j = a - -0.08. What is j rounded to 1 dp? -0.5 Suppose 1436852 = o + 82852. Round o to the nearest one hundred thousand. 1400000 Let g = 13.449 + 0.051. Round g to 0 decimal places. 14 Suppose 0 = -2*b + 5*r - 39000000, 3*b - 1893352 = -2*r - 60393352. What is b rounded to the nearest 1000000? -20000000 Let r = 79 - 78.9896. Round r to 3 decimal places. 0.01 Let v be (1/2)/(2/(-22791404)). Let r = -3997851 - v. What is r rounded to the nearest one million? 2000000 Let k be (-25200004)/(-14) + (-2)/7. Round k to the nearest 100000. 1800000 Let g be 105002/(-5) - 11/((-110)/4). Round g to the nearest ten thousand. -20000 Let r = 28.027 + -28. Let u = 0.0178 - r. Round u to 3 dps. -0.009 Suppose 2*v + 3*k - 52 = 0, -4*k - k = -20. Suppose 3*x + v = 230. What is x rounded to the nearest 100? 100 Suppose -m = -2*m + 5. Suppose 0*x = -w - m*x + 720, -3*w - 4*x + 2116 = 0. Round w to the nearest one hundred. 700 Suppose -828 = -2*b - 170. What is b rounded to the nearest ten? 330 Let s = -0.1632 - -0.17. What is s rounded to 3 decimal places? 0.007 Let o = 0.234 - 83.934. Let l = o + 79. What is l rounded to zero dps? -5 Let v = 0.3 + -1.1. Let z = v + -0.2. Let h = 0.85 + z. Round h to 1 dp. -0.2 Let l = -885429 + -976612. Let j = -1862041.1999998 - l. Let x = j + 0.2. What is x rounded to six dps? 0 Let m = -0.1557 + 0.126. Round m to three decimal places. -0.03 Let a = 0.6 - 0.6132. Round a to 3 decimal places. -0.013 Let r = 2380951 + 1119049. What is r rounded to the nearest one million? 4000000 Let f = -0.98 + 0.7. Let y = -0.280069 - f. Round y to five decimal places. -0.00007 Let l = 5.26 - 4.5. Let k = l + -0.11. Round k to one dp. 0.7 Let y = 0.358976398 + -176.359089398. Let q = -176 - y. What is q rounded to 5 decimal places? 0.00011 Let w = -1.307 + -7189.693. Let t = w + 7189.1036. Let k = t + 1.9. What is k rounded to 3 decimal places? 0.004 Let r = 0.5 - 0.484. Let h = -0.04 + r. Round h to two decimal places. -0.02 Suppose 2*o + n + 0*n = -27596, 0 = -3*o - 4*n - 41384. What is o rounded to the nearest 1000? -14000 Suppose -3*s + 0*s = t - 9, -s - t = -1. Suppose -5*p + s*f = -2*p - 10, -5*p - 3*f = 22. Let b be (16/(-5))/(p/(-55)). What is b rounded to the nearest 10? -90 Let x = -78 - -78.242. Let u = x + -0.19. Round u to 2 dps. 0.05 Let p = 13.323 - 13.2. What is p rounded to 2 dps? 0.12 Let w = 47.1 - 7.1. Let u = 40.000085 - w. Round u to five decimal places. 0.00009 Let j = -31.999876 - -32. What is j rounded to 5 dps? 0.00012 Let r(h) = -h**3 + 5*h**2 - 1 + 2*h + 0*h**3 + h**2. Let d be r(5). What is d rounded to the nearest 10? 30 Let j = 1.793 - 1.726736. Let o = j - 45.035264. Let m = -45 - o. Round m to two dps. -0.03 Suppose -4*x + i - 100522 = -i, -4*i = 12. Let t = -16632 - x. Round t to the nearest 1000. 9000 Let z(s) = -s + 2. Let r be z(0). Let x be 0/r + 3 + -3. Round x to 4 dps. 0 Let v = 0.38 - 0.96. What is v rounded to 1 dp? -0.6 Let g = 18 - 16. Suppose -j - 926 - 74 = 4*v, j + g*v = -1000. Round j to the nearest 1000. -1000 Let l(k) = k**2 + 2*k + 1. Let x be l(-1). Suppose 0 = -x*i + 4*i + j + 1203, -4*i = 5*j + 1215. Round i to the nearest 100. -300 Suppose -3*v - 2 = -v, 0 = -2*n - v + 3. Suppose u - n*g + 6 = -0*u, -2*u = -g + 12. Let k be (-34)/1*15/u. Round k to the nearest 10. 90 Suppose 4*b - 2*b = -4*h + 12, -h + 12 = 5*b. Suppose 0 = -g - 4*u + 32 + b, -5*u - 20 = 0. Round g to the nearest 100. 100 Let n be (-228)/2*5000/(-30). Round n to the nearest ten thousand. 20000 Let k = 24636 + -24636.15789. Let a = 0.159 + k. What is a rounded to four dps? 0.0011 Let i = -379.999763 + 380. What is i rounded to four dps? 0.0002 Let b(d) = -d**2 + 5*d + 2. Let m be b(5). Suppose 2 = 2*l, 0 = -10*n + 5*n - m*l - 25999998. What is n rounded to the nearest 1000000? -5000000 Let i = -0.5 - -1. Let n = 0.49999991 - i. Round n to 7 decimal places. -0.0000001 Let b = -636.908 + 632.90800064. Let f = -4 - b. Round f to seven decimal places. -0.0000006 Let n = -45.031 - -45. What is n rounded to 2 decimal places? -0.03 Let q = -1.9 + 1.817. Round q to 2 decimal places. -0.08 Let f = 208734.650067 + -208816.65. Let c = f - -82. What is c rounded to five dps? 0.00007 Let v = -55 + 55.00008. What is v rounded to five decimal places? 0.00008 Let j = -136523217 - -136523221.00000004. Let w = -4 + j. Round w to 7 dps. 0 Let t = 22 + -21.988. What is t rounded to two decimal places? 0.01 Suppose -5*x - 2*v = 8285, 3*x - 2047 = 2*v - 7018. Let f = -627 - x. Round f to the nearest 100. 1000 Let r be 3 + -6 - (-7 - 1). Suppose -3*k = -j + 26 - 91, -r*j - 4*k - 325 = 0. What is j rounded to the nearest ten? -70 Let a = -0.11 + 0.28. Let f = 10.83 + a. Let h = f + -11.00000024. What is h rounded to 7 decimal places? -0.0000002 Let f = 12.7 + -12.6805. What is f rounded to 3 dps? 0.02 Let i = 11.07 + -11. Let y = -0.0676 + i. Round y to 3 decimal places. 0.002 Let t = -0.0383 + 4.7683. What is t rounded to one dp? 4.7 Let p = -21376036.0200043 + 21376035. Let u = p - -1.02. What is u rounded to 6 decimal places? -0.000004 Let l = 8 - 7.97. Let c = l + 19.97. Let b = c + -20.38. What is b rounded to one decimal place? -0.4 Suppose 3*v + 7 = 19. Suppose 5*u - 3*b + 121970 - 35444 = 0, 3*u = -v*b - 51904. Let y = 27304 + u. What is y rounded to the nearest one thousand? 10000 Let v = -0.216 - -0.1. What is v rounded to 2 decimal places? -0.12 Let c be 1 + -2 + (-56)/(-4). Suppose c*j = 8*j + 750. Round j to the nearest one hundred. 200 Let a = 28086.8972 - 36.7972. Let z = 28048.29967 - a. Let c = 1.8 + z. What is c rounded to 4 dps? -0.0003 Let f be (-4)/(3*2/1839). Let h = f + 1806. Round h to the nearest one hundred. 600 Suppose 0 = -0*c - c. Suppose c = -5*f, 4 = -0*h + h - 2*f. Suppose 2050 = -h*p - p. What is p rounded to the nearest 100? -400 Suppose -2350003 = -5*d + 3*g, 3*d = 2*d - g + 469999. Round d to the nearest one hundred thousand. 500000 Let q(m) be the second derivative of 34100*m**4/3 + m**3/6 + 5*m**2/2 + 3*m. Let z be q(-5). What is z rounded to the nearest 100000? 3400000 Let i = 8 + -3. Suppose 0 = d - i*d - 26000. What is d rounded to the nearest 1000? -7000 Let u = -0.95 + -0.05. Let
{ "pile_set_name": "DM Mathematics" }
6045 (d) 1 a What is the nearest to 1 in -2/79, 9, -14/15, 11? -2/79 Which is the closest to 1? (a) 5/2 (b) -0.1 (c) -1/6 (d) 5 (e) -2/4293 (f) -19 e Which is the nearest to -48? (a) 82 (b) 87 (c) -4 c What is the nearest to 1/3 in 14, 2/7, -27/19, 1/5, 5? 2/7 What is the nearest to -1 in -2, 2, -2118, -0.0224? -0.0224 What is the nearest to 3/4 in 10, 1, 0.8, -0.3, -23/6? 0.8 Which is the nearest to -3? (a) -43/4 (b) -86/29 (c) -0.1 (d) -0.3 b What is the closest to -2/23 in 23, -3/4, 0.1, 408, -5, -3/8? 0.1 What is the closest to 2 in -2/7, -1, 0, 150, 0.0253? 0.0253 Which is the nearest to -0.2492? (a) -9 (b) 1 (c) 0.3 (d) 0 d Which is the nearest to 7734? (a) -19 (b) 4 (c) -7 (d) 0 b Which is the nearest to 1119? (a) -5 (b) 0.1371 (c) -1 b Which is the closest to -0.35? (a) -3 (b) -283 (c) -0.4 (d) 8 c What is the closest to 10 in 2/13, -0.1, 10, -594? 10 Which is the nearest to -2/5? (a) 0.14 (b) -64.6 (c) 0.7 (d) -0.4 (e) -0.24 d What is the nearest to -36 in -3/2, -1, -57, -4/7? -57 What is the closest to -0.1 in 2422, 3/13, -0.18? -0.18 Which is the closest to 0.07? (a) 5/2 (b) 8839 (c) 1/2 c Which is the closest to 1/2? (a) -0.1 (b) -3705 (c) 804 a Which is the closest to 2? (a) -2/27 (b) -2/11 (c) 581 (d) -154 (e) -1 a What is the nearest to 1/4 in 0.0103, 1655/28, -0.1? 0.0103 Which is the nearest to -46? (a) -4 (b) -9 (c) 337 b What is the nearest to 1181 in 8/525, 1/2, 1? 1 Which is the nearest to 0.3? (a) -17 (b) -75/2 (c) 7 (d) -2/41 d What is the closest to -0.08321 in -0.06, 7, 0? -0.06 Which is the nearest to -0.1? (a) 2/7 (b) -0.1 (c) -23 (d) 4/7 (e) 6 (f) 2/49 b What is the closest to -0.0492 in -5, 34, 0.14, 0.2, 0.3? 0.14 Which is the nearest to -637? (a) 1/124 (b) 1/4 (c) -3 c Which is the closest to -1.586? (a) 0.2 (b) -0.8 (c) 4 b What is the closest to -27 in 82, 156, 0.2? 0.2 What is the nearest to 66/5 in -2/43, -2/7, 0.004? 0.004 What is the closest to -33583 in 6, -7, -0.3? -7 What is the nearest to 195 in 31, -1/4, 16? 31 Which is the nearest to -3? (a) 3 (b) 0.02 (c) -2 (d) -0.03369 (e) -46 c What is the closest to -2/5 in -21/2, -1/28, 5, -4, 91? -1/28 What is the nearest to -3 in 112225, 6, 5? 5 What is the closest to -2 in 2, -0.2, 25, 256675? -0.2 What is the nearest to -0.1 in -90, 0.3, -134, -2.1, 0.2, 2/13? 2/13 What is the nearest to 1 in -1/4, -1551, 2/5, -5, 1/4? 2/5 Which is the nearest to 3.6? (a) 0.5 (b) -0.39 (c) 0 (d) 736 a What is the closest to -202 in -1.1, 6, -2, 7.9? -2 Which is the nearest to 18? (a) 0 (b) 6 (c) 44/9 (d) 2/65 (e) -1 b Which is the nearest to 28926? (a) 0.4 (b) 0.01 (c) 22 c Which is the nearest to -2108? (a) -4 (b) -8/43 (c) -2/3 a Which is the nearest to 17/4? (a) 0.042 (b) 2/13 (c) 3 (d) 3.9 (e) 1 d Which is the closest to -67? (a) 5 (b) 2/47 (c) 2/171 (d) -1 d What is the closest to -11/56 in 4, -7, -4, 0.2, -0.2? -0.2 Which is the closest to 3? (a) -0.017 (b) 3 (c) 3303 (d) 5 (e) -0.4 b Which is the nearest to 43? (a) -0.14 (b) -14.02 (c) -0.3 a Which is the closest to 9/4? (a) -158/389 (b) 2 (c) 4 b Which is the nearest to 0? (a) 1.3 (b) -4/11 (c) 26 (d) -0.5 (e) 0 e Which is the closest to -0.054? (a) 0.5 (b) 0.021 (c) 0.02924 b Which is the nearest to 8862? (a) 2/9 (b) -6 (c) -4 (d) 3 (e) -24 d Which is the nearest to 2/5? (a) 2 (b) -4/7 (c) 404 (d) -0.016 (e) -1 d What is the closest to 10 in 0.3, -117/10, -4, 13, 3/2? 13 Which is the nearest to 3? (a) -69.1 (b) -2/1511 (c) 3/5 c What is the closest to 14/9 in -52, 1, 8/9, 0.2? 1 Which is the nearest to 15078? (a) -5/3 (b) 3 (c) 1/2 (d) -2 (e) 5 e Which is the nearest to 0? (a) -3 (b) -45 (c) -0.6 (d) -1423 c Which is the closest to -106/33? (a) 4/3 (b) -6/5 (c) -5 (d) 7/3 (e) 2/5 c What is the closest to 6 in -0.1338, 0.95, -25/2? 0.95 What is the closest to 3.08 in 69.4, -1/7, 4? 4 What is the closest to -3 in 25391, 3, 0.09? 0.09 Which is the closest to -18? (a) -454 (b) 20.5 (c) 2/7 c Which is the closest to 3/58? (a) 3.8 (b) 0.1 (c) -110.2 b Which is the nearest to 6/19? (a) -76 (b) 19 (c) -5.1 (d) -0.5 d What is the closest to 0 in 4, 115/4, 0.3, -6, -25, 2/15? 2/15 What is the nearest to 3.193 in 0.7, -1/6, 5, 0.3, 4? 4 Which is the closest to 3? (a) 1.988 (b) 1.16 (c) -0.12 a What is the closest to -0.1 in 3/62, 54326, -3, 1/5? 3/62 Which is the closest to 463? (a) 4 (b) -0.07 (c) 0.3 (d) 11 (e) -2/3 (f) 0.4 d What is the closest to 4 in -94519, 0.1, 8? 0.1 What is the nearest to 0 in 1221.8, 0.2, -23? 0.2 Which is the closest to 0? (a) 1/3 (b) -2/83 (c) -4 (d) 1/35 (e) 5 b What is the closest to 41/3 in -0.5, -49, -13, -3, 0.5? 0.5 What is the closest to -4/279 in 0.695, -5, -4? 0.695 Which is the closest to -0.2? (a) 1/6 (b) 2/73 (c) -1433 (d) 0.5 b Which is the nearest to 0? (a) -49301 (b) -6 (c) -0.028 (d) 3/2 c Which is the nearest to -9? (a) -118380 (b) 20 (c) -0.4 c Which is the closest to -1456? (a) -3 (b) -5 (c) 5/2 (d) -0.1 b Which is the closest to -27? (a) 3001/6 (b) -2/17 (c) -10 c What is the nearest to 0.07 in -4/19, 1/12, 854/3? 1/12 Which is the nearest to 4? (a) 2/27 (b) -8 (c) -0.0658 (d) -0.1 (e) -1/5 (f) -18 a What is the closest to 2/993 in 0.5, 15/8, 0.05, 0.3, 4, -5? 0.05 Which is the nearest to -0.1? (a) 6 (b) 1 (c) -2/7 (d) 13 (e) -878 c What is the nearest to -3/16 in 22, 2, -0.3, 0.06, 0? -0.3 What is the nearest to -1 in 3, -19, -1/2, 7676, -6? -1/2 Which is the nearest to -4? (a) 2/21 (b) 1469/3 (c) 2 (d) -0.6 d Which is the nearest to -4? (a) 2.2 (b) 0.08 (c) 11139 b What is the closest to -6 in -0.5, 0, -2, -1/18460, -19? -2 Which is the closest to -12? (a) 0.5 (b) 4/5 (c) 10 (d) 15/8 a What is the nearest to 2/7 in -0.8, 0.05, -3/11, 3882, -2? 0.05 Which is the closest to -1? (a) -3/944 (b) -5 (c) 29/6 (d) 2/3 a Which is the closest to 0.2? (a) -3 (b) -16 (c) -5/103 (d) 6 c Which is the closest to -1839? (a) -9 (b) 9 (c) 2 (d) -1/5 a What is the nearest to 3 in 1/4, 1966/5, -2, -108? 1/4 Which is the nearest to 1/8? (a) -1/2 (b) 3/7 (c) 2129/9 (d) -3 b What is the nearest to 2020 in -5, 1176/11, 0.1, 5? 1176/11 What is the closest to -312 in 2, 4, 17, -1562, 5? 2 Which is the closest to -2/3? (a) 522 (b) 23 (c) 0.48 c What is the closest to 0.2 in -8, 2/23, -1, -1/14, -151? 2/23 Which is the nearest to -5948? (a) -8 (b) 1 (c) -2/3 (d) -4/11 (e) 2 (f) 5 a Which is the nearest to -13? (a) 442 (b) 4 (c) -1.3 (d) -4 d Which is the nearest to -1/5? (a) 2 (b) 88/5 (c) 2841 (d) -0.3 (e) -3/2 d Which is the nearest to -3/17? (a) -8 (b) -1 (c) 9796 b Which is the closest to 0? (a) 3 (b) 44568 (c) 0.4 c Which is the nearest to -194? (a) -1/169 (b) -0.5 (c) -1 (d) -0.3 (e) 3 c Which is the nearest to -0.014? (a) 763 (b) 3 (c) -0.8 (d) -0.9 (e) 0.2 e Which is the closest to -1402114? (a) -0.1 (b) 0.4 (c) 2/7 a Which is the nearest to -1? (a) -6 (b) 1475 (c) 792 a What is the nearest to -1 in 2/3, -1, 7, -1.03, -7? -1 Which is the closest to -3/3239? (a) -4 (b) 5/548 (c) 1 b Which is the closest to 1? (a) 1/6 (b) 9 (c) 3011/4 a What is the closest to -10045 in 0.1, 36, 4? 0.1 Which is the closest to 1? (a) -0.09 (b) -128 (c) -227 (d) 20 a What is the nearest to 33 in 2, 556, 7, 1/9? 7 What is the closest to 0.2 in -0.5, 530, -4/9, 46, -5? -4/9 What is the closest to 2/5 in 3/16, 1/5, 0.05, 2/3119, -0.2, -0.3? 1/5 What is the nearest to -0.039 in 2/27, -0.5, 20, -32? 2/27 Which is the nearest to -1/2? (a) -1.61 (b) 0.5 (c) -5 (d) -4038/7 b Which is the closest to -1? (a) -0.2 (b) -0.034 (c) -0.1 (d) -2359 a What is the nearest to -4 in -0.5, -28, 4, 2/3, 2, 72.07? -0.5 Which is the closest to 149? (a) 5 (b) 0.021614 (c) 0.2 a Which is the closest to 9? (a) 6/5 (b) 416/19 (c) -3 a What is the closest to -194 in 2/277, -2/21, 2, 0? -2/21 Which is the closest to -0.39? (a) 5 (b) -1 (c) -1469.4 (d) 0.2 d What is the closest to 3 in -278.1, 3/5, 2/3973? 3/5 What is the closest to 0.1 in 57, 0.2, 1, -1, -4073, -2/5? 0.2 What is the closest to -488 in -1/7, -14, 15? -14 Which is the nearest to -0.1? (a) -0.4
{ "pile_set_name": "DM Mathematics" }
mainder when 1585542 is divided by 264257. 0 Calculate the remainder when 267377 is divided by 1061. 5 Calculate the remainder when 301164472 is divided by 2218. 2214 Calculate the remainder when 1097229 is divided by 5685. 24 Calculate the remainder when 32629266 is divided by 1553773. 33 What is the remainder when 449535 is divided by 224318? 899 Calculate the remainder when 68547175 is divided by 6231560. 15 What is the remainder when 331090 is divided by 946? 936 Calculate the remainder when 149406137 is divided by 1291. 1289 What is the remainder when 10939 is divided by 10922? 17 What is the remainder when 1291377 is divided by 4580? 4397 Calculate the remainder when 14216873 is divided by 14. 13 What is the remainder when 1661650 is divided by 130? 120 Calculate the remainder when 1779937 is divided by 7869. 1543 What is the remainder when 740375 is divided by 61697? 11 Calculate the remainder when 218953 is divided by 72916. 205 Calculate the remainder when 1915344 is divided by 423. 0 What is the remainder when 294741428 is divided by 23? 16 What is the remainder when 92150070 is divided by 1224? 6 What is the remainder when 140520506 is divided by 733? 8 What is the remainder when 278210525 is divided by 58? 11 What is the remainder when 10747207 is divided by 1741? 14 What is the remainder when 31380802 is divided by 27? 25 What is the remainder when 15703574 is divided by 3620? 14 Calculate the remainder when 89481487 is divided by 38. 37 What is the remainder when 448187 is divided by 2532? 23 What is the remainder when 243686 is divided by 48716? 106 Calculate the remainder when 89348 is divided by 1261. 1078 What is the remainder when 87837 is divided by 2253? 2223 Calculate the remainder when 1146742 is divided by 95560. 22 What is the remainder when 33006 is divided by 3976? 1198 What is the remainder when 459035 is divided by 114756? 11 Calculate the remainder when 1945961 is divided by 1742. 147 Calculate the remainder when 190572 is divided by 95267. 38 What is the remainder when 748863 is divided by 374359? 145 What is the remainder when 128302 is divided by 1135? 47 What is the remainder when 40579589 is divided by 21? 8 What is the remainder when 387276 is divided by 2278? 16 Calculate the remainder when 18956530 is divided by 618. 616 What is the remainder when 816810 is divided by 74? 72 What is the remainder when 90404 is divided by 3227? 48 Calculate the remainder when 7434 is divided by 3228. 978 What is the remainder when 181961 is divided by 181929? 32 What is the remainder when 294103 is divided by 147047? 9 Calculate the remainder when 110425 is divided by 108924. 1501 Calculate the remainder when 25572259 is divided by 13. 11 Calculate the remainder when 2801908 is divided by 466984. 4 What is the remainder when 170162 is divided by 363? 278 What is the remainder when 55236228 is divided by 183? 57 Calculate the remainder when 271494 is divided by 11312. 6 What is the remainder when 120407 is divided by 29981? 483 Calculate the remainder when 204669452 is divided by 12791840. 12 Calculate the remainder when 53967 is divided by 13480. 47 What is the remainder when 14721043 is divided by 204? 199 Calculate the remainder when 2148915 is divided by 204. 183 What is the remainder when 146827584 is divided by 492710? 4 What is the remainder when 1147922 is divided by 19132? 2 What is the remainder when 5060760 is divided by 23321? 103 Calculate the remainder when 14109707 is divided by 4703189. 140 What is the remainder when 465486 is divided by 587? 582 What is the remainder when 39326898 is divided by 26? 0 What is the remainder when 3340 is divided by 2848? 492 Calculate the remainder when 282570164 is divided by 839. 837 Calculate the remainder when 89196156 is divided by 29. 15 Calculate the remainder when 249261 is divided by 17798. 89 Calculate the remainder when 7402 is divided by 2252. 646 Calculate the remainder when 27906134 is divided by 28. 18 Calculate the remainder when 4049601 is divided by 884. 881 What is the remainder when 14264271 is divided by 2852846? 41 Calculate the remainder when 129400 is divided by 43127. 19 Calculate the remainder when 80026 is divided by 39868. 290 What is the remainder when 250469017 is divided by 1543? 1542 Calculate the remainder when 7200 is divided by 1767. 132 What is the remainder when 3448501 is divided by 426? 31 Calculate the remainder when 60144 is divided by 9453. 3426 What is the remainder when 10542686 is divided by 270? 266 What is the remainder when 535664023 is divided by 306? 7 What is the remainder when 907727 is divided by 46? 9 What is the remainder when 41938 is divided by 963? 529 What is the remainder when 5911515 is divided by 786? 9 What is the remainder when 106922 is divided by 627? 332 Calculate the remainder when 9950 is divided by 8016. 1934 What is the remainder when 419073485 is divided by 1595? 1590 What is the remainder when 260479 is divided by 5783? 244 Calculate the remainder when 274553 is divided by 137055. 443 Calculate the remainder when 62023151 is divided by 27. 20 What is the remainder when 7534 is divided by 683? 21 Calculate the remainder when 197839 is divided by 178. 81 What is the remainder when 2664238 is divided by 554? 52 Calculate the remainder when 800597 is divided by 706. 699 Calculate the remainder when 419947 is divided by 83840. 747 Calculate the remainder when 93330876 is divided by 21842. 10 What is the remainder when 330959 is divided by 951? 11 What is the remainder when 428271 is divided by 85621? 166 What is the remainder when 18310226 is divided by 111? 110 Calculate the remainder when 497713 is divided by 248510. 693 Calculate the remainder when 71599 is divided by 5044. 983 Calculate the remainder when 92310 is divided by 8101. 3199 What is the remainder when 69761932 is divided by 16? 12 Calculate the remainder when 40563125 is divided by 103742. 3 Calculate the remainder when 1234917 is divided by 1234890. 27 What is the remainder when 427848 is divided by 4274? 448 Calculate the remainder when 11442570 is divided by 10846. 40 What is the remainder when 171690499 is divided by 100? 99 What is the remainder when 946431 is divided by 240? 111 Calculate the remainder when 6768973 is divided by 842. 135 What is the remainder when 439178 is divided by 54893? 34 What is the remainder when 576642 is divided by 28832? 2 What is the remainder when 74083 is divided by 18496? 99 What is the remainder when 73041883 is divided by 8115763? 16 Calculate the remainder when 114882 is divided by 6372. 186 What is the remainder when 15002 is divided by 294? 8 Calculate the remainder when 584979 is divided by 88. 43 What is the remainder when 194123 is divided by 96949? 225 Calculate the remainder when 795168792 is divided by 7. 5 Calculate the remainder when 2285955 is divided by 1142965. 25 What is the remainder when 1093101 is divided by 1093003? 98 Calculate the remainder when 10784103 is divided by 148. 83 What is the remainder when 21519 is divided by 10733? 53 What is the remainder when 1506204 is divided by 1668? 0 What is the remainder when 787208 is divided by 7569? 32 What is the remainder when 143203 is divided by 138864? 4339 Calculate the remainder when 136467 is divided by 879. 222 Calculate the remainder when 10344689 is divided by 544. 529 What is the remainder when 17866 is divided by 32? 10 What is the remainder when 2418239 is divided by 110? 109 What is the remainder when 10033799 is divided by 1643? 1641 What is the remainder when 1165933 is divided by 834? 1 What is the remainder when 122703 is divided by 1323? 987 What is the remainder when 3956927 is divided by 28? 23 What is the remainder when 162498 is divided by 5299? 3528 Calculate the remainder when 156103569 is divided by 3972. 3969 Calculate the remainder when 3468033 is divided by 58778. 131 Calculate the remainder when 219382 is divided by 551. 84 What is the remainder when 137368066 is divided by 68684028? 10 What is the remainder when 130226033 is divided by 1736347? 8 What is the remainder when 81656108 is divided by 2550? 8 Calculate the remainder when 22402799 is divided by 5600662. 151 What is the remainder when 40124129 is div
{ "pile_set_name": "DM Mathematics" }
u(i) be the first derivative of -9*i**4/2 + 2*i**2 + 5. What is the second derivative of u(p) wrt p? -108*p Suppose 5*l = 2*p - 4, -2*p = -7*l + 4*l. Let j(z) = 3*z - 5. Let d(t) = -3*t + 6. Let m(n) = l*d(n) - 3*j(n). Differentiate m(q) with respect to q. -3 Let k(c) = 2*c - 11. Suppose j + 32 = 5*j. Let o be k(j). Find the third derivative of 3*u**o - 18*u + 3*u**2 + 0*u**5 + 18*u wrt u. 180*u**2 Let g = -139/10 - -14. Let z(j) be the second derivative of -g*j**5 + 2*j + 1/2*j**3 + 0 + 0*j**2 + 0*j**4. What is the second derivative of z(p) wrt p? -12*p Let a(y) = y**3 - 3*y**2 + 2*y + 1. Let c be a(3). Find the third derivative of -3 - c - 2*w**4 + 10 + w**2 wrt w. -48*w Let w(s) be the third derivative of 0*s + 0*s**6 + 0*s**3 + s**2 + 1/210*s**7 + 0*s**5 + 0 - 1/12*s**4. Find the second derivative of w(o) wrt o. 12*o**2 Let l(j) be the second derivative of -7*j**4/6 + 4*j**2 + 8*j. What is the derivative of l(u) wrt u? -28*u Let n(u) = 9*u**4 + 10*u**2. Let j(p) = p**4 + p**2. Let d(w) = -2*j(w) - n(w). What is the third derivative of d(a) wrt a? -264*a Suppose 5*w = 25, 0 = -2*p - 4*w + 6 + 14. Let d(m) be the second derivative of -3*m + 1/2*m**3 + m**2 + p. What is the derivative of d(b) wrt b? 3 Let i(m) be the second derivative of -19*m**5/20 + 25*m**3/3 + 19*m. Find the second derivative of i(k) wrt k. -114*k Let p(s) = -17*s**2 + 11*s - 5. Let r(k) = 8*k**2 - 6*k + 2. Let x(z) = 2*p(z) + 5*r(z). What is the second derivative of x(o) wrt o? 12 Differentiate 0*p**3 - p**3 - 1 + 5 - 7*p**3 with respect to p. -24*p**2 Let u(r) be the third derivative of -11*r**5/60 + 11*r**4/24 + 8*r**2. What is the second derivative of u(s) wrt s? -22 Let n be -3*(2/6)/1. Let i = n - -4. Find the second derivative of 3*p - i*p + 2*p + 2*p**3 wrt p. 12*p Suppose 4*o + 3*t - 3 = 7, 16 = 3*o - 2*t. What is the first derivative of 139*k - 5*k**o - 3 - 139*k wrt k? -20*k**3 Let p(z) = -4*z**4 + 5*z**3 - 5*z**2 - 6*z + 5. Let r(b) = b**4 + b**3 - b**2 - b + 1. Let m(t) = -p(t) + 5*r(t). Find the second derivative of m(l) wrt l. 108*l**2 Let q be (-1 - -1) + 0/5. Let c = 3 - q. What is the second derivative of -2*h + 0*h**c - h**3 + 0*h wrt h? -6*h Let o(b) = b + 4. Let n be o(5). Suppose -4*j + n = 1. What is the second derivative of d + 3*d**5 - j*d**5 + 0*d**5 + d**5 wrt d? 40*d**3 Let a(p) be the third derivative of -p**8/84 - 5*p**4/24 - 7*p**2. Find the second derivative of a(x) wrt x. -80*x**3 What is the first derivative of 1 + 69*n**2 + 4 - 68*n**2 wrt n? 2*n Let l be -1 + 2 - -1 - -5. Let o be l/3 + 2/(-6). Find the second derivative of 3*f + f + o*f**2 - 3*f wrt f. 4 Let t(r) be the second derivative of -r**10/15120 - r**7/2520 - r**4/4 + 3*r. Let k(c) be the third derivative of t(c). Find the third derivative of k(d) wrt d. -120*d**2 Let n(s) = s**3 - 5*s**2 + 4. Let u(t) = t**3 + t**2. Let i(o) = n(o) + 5*u(o). Find the first derivative of i(d) wrt d. 18*d**2 Let v(j) be the third derivative of -j**8/112 - j**5/10 - j**2. Find the third derivative of v(a) wrt a. -180*a**2 Let s(t) be the third derivative of -t**7/42 - 7*t**3/6 - 6*t**2. Find the first derivative of s(n) wrt n. -20*n**3 Let c(y) = -y**3 + 7*y**2 - 5*y - 6. Let f be c(6). Find the second derivative of 3*i - 5*i + i**5 + f + 0 wrt i. 20*i**3 Let t(x) be the first derivative of x**3/6 - x**2 - 2*x + 3. Let y(i) be the first derivative of t(i). Find the first derivative of y(v) wrt v. 1 Let s(k) be the second derivative of k**4/2 - 6*k**2 + 14*k. What is the first derivative of s(y) wrt y? 12*y What is the derivative of 4 + 16 - 53 - 7*w**4 wrt w? -28*w**3 Let n(h) be the second derivative of h**7/210 + h**4/6 - h**2 - h. Let j(x) be the first derivative of n(x). Find the second derivative of j(p) wrt p. 12*p**2 Let a(w) be the second derivative of -7*w**4/3 + 5*w**3/3 - 29*w. What is the second derivative of a(c) wrt c? -56 Let y(x) = x**2 + 4*x - 2. Let j be y(-5). What is the third derivative of 0*f + 0*f**j - 3*f**2 + 0*f + 4*f**3 wrt f? 24 Let w(a) be the second derivative of -a**8/420 - a**4/6 + a**3/2 - 5*a. Let u(r) be the second derivative of w(r). Differentiate u(b) with respect to b. -16*b**3 Let s(c) = 6*c**4 + 6*c**3 - c. Let f(q) = -6*q**4 - 7*q**3 + 2*q. Let l(m) = 6*f(m) + 7*s(m). What is the second derivative of l(j) wrt j? 72*j**2 Let m(c) be the third derivative of -c**8/1680 + c**5/24 + 5*c**4/24 - 5*c**2. Let g(d) be the second derivative of m(d). Differentiate g(x) wrt x. -12*x**2 Let v(f) be the first derivative of 4*f**4 - 3*f**2 - 3*f + 3*f**2 + 3 - 3*f**4. What is the first derivative of v(q) wrt q? 12*q**2 Let d(q) be the first derivative of -q**8/420 - q**4/24 - q**3/3 - 3. Let t(p) be the third derivative of d(p). Find the first derivative of t(m) wrt m. -16*m**3 Suppose -4*h + 12 - 4 = 0. Suppose -h + 0 = -v. What is the derivative of -v - 4*s + 2*s + 3*s wrt s? 1 Suppose -12 = -3*p + 6. Suppose -13 = -5*k + 4*f, 2*k - 10 - p = -2*f. What is the second derivative of 12*l**5 - 9*l**k - 4*l + 2*l wrt l? 60*l**3 Let c(y) = -21*y**2 - 5*y. Suppose 2*v - 25 = 1. Let g(w) = -10*w**2 - 2*w. Let m(f) = v*g(f) - 6*c(f). What is the second derivative of m(h) wrt h? -8 Suppose -3*d + 91 - 19 = 0. Suppose -3*l = -4*g + d, -l = -3*g + g + 10. Find the second derivative of b**4 - 3*b**g + 2*b + 3*b**3 wrt b. 12*b**2 Let x(n) be the third derivative of n**7/21 - n**4/24 + 2*n**2. Find the second derivative of x(b) wrt b. 120*b**2 What is the first derivative of 1 + 3 - 2*i**4 + 5*i**4 + i**4 wrt i? 16*i**3 Let d(t) be the third derivative of 5*t**8/84 - 3*t**5/20 + 13*t**2. Find the third derivative of d(g) wrt g. 1200*g**2 Let k be 4/(-3)*12/(-8). Find the third derivative of 3*v**2 + 0*v**2 - v**6 - 9*v**k wrt v. -120*v**3 Let w(a) = -a**4 - a**3 + a**2 - a. Let k(t) = t**4 + 2*t**2 + 33*t + 1. Let r(f) = -k(f) + 2*w(f). What is the second derivative of r(i) wrt i? -36*i**2 - 12*i What is the second derivative of b**4 - 5*b**4 - 9*b**4 + 8*b wrt b? -156*b**2 Let p(h) be the first derivative of h**5/120 + h**4/12 + h**3 - 3. Let l(q) be the third derivative of p(q). Find the first derivative of l(x) wrt x. 1 Let m(q) be the third derivative of q**5/6 - q**4/6 + 16*q**2. What is the second derivative of m(x) wrt x? 20 Let x = -9 - -4. Let w = x + 8. Find the second derivative of -2*h - 2*h**3 - h**3 + 3*h**w + 2*h**5 wrt h. 40*h**3 Let m be (9 - 4) + -2 + -1. What is the third derivative of 6*r**6 - 2*r**m - r**6 - 6*r**2 - r**2 wrt r? 600*r**3 Let s(n) = n - 2. Let q be s(4). Suppose q = -0*z + z. Find the third derivative of 5*y**z + 5*y**6 - 3*y**6 - 6*y**2 wrt y. 240*y**3 Let j be (0*3/6)/2. Suppose 3*x - 2*s = -j*s + 9, 2*x - s = 6. Find the third derivative of -3*o**4 - o**2 + x*o**4 - 2*o**6 wrt o. -240*o**3 Suppose -5*d + 4*t - 5 = -3, -4*t = 2*d - 16. What is the third derivative of 4*x - 2*x - 4*x**6 + 2*x**d - 2*x wrt x? -480*x**3 Let l(r) = r**2 - r - 1. Let h(q) = -3*q**2 - 2*q - 1. Let s(w) = h(w) - 2*l(w). What is the derivative of s(g) wrt g? -10*g Let p(o) = o - 1. Let t(u) = 2*u**2 + 10*u - 7. Let n(r) = -6*p(r) + t(r). Let j(i) = -2*i**2 - 3*i. Let a(m) = -4*j(m) - 3*n(m). Differentiate a(l) wrt l. 4*l Suppose 2*c - 5*f = -21, 2*c + 6*f - 3*f = 19. What is the second derivative of -3*d - d**5 + 0*d + c*d wrt d? -20*d**3 Let j(m) = -m + 6. Let h be j(0). Find the third derivative of -7*w**2 - 37 - h*w**5 + 37 wrt w. -360*w**2 Let r(o) be the first derivative of 23*o**3/3 - 11*o**2 - 15. What is the second derivative of r(t) wrt t? 46 Suppose 2*h - 4*q - 22 = 0, 2*q + 15 = -5*h - 2*q. Suppose -4*x = -b - 9, 0 = 4*b - 5*x + h + 2. Find the first derivative of -v - 3 + 3*v**b + 2 + v wrt v. 9*v**2 Let b(v) be the third derivative of 5*v**4/24 + v**3/2 + 8*v**2. Differentiate b(p) wrt p. 5 Let f(x) = -6*x**2. Let v(m) = m**3 - 5*m**2 - 1. Let g(t) = 2*f(t) - 3*v(t). Let l(d) = -1. Let p(j) = -g(j) - 3*l(j). Find the third derivative of p(k) wrt k. 18 Let c(i) = 9*i**4 - 4*i**2. Let k(u) = u**4 + u**2. Let g(z) = c(z) - 5*k(z). Find the third derivative of g(h) wrt h. 96*h Let g(w) = -7*w**3 - 6*w**2 + 2*w + 2. Let q(r) = -r**2 + r + 1. Let s(u) = -g(u) + 2*q(u). What is the third derivative of s(a) wrt a? 42 Let w(q) be the third derivative of -q**5/10
{ "pile_set_name": "DM Mathematics" }
) = 7*x**3 - 11*x**2 - 17*x - 5. Determine 5*b(h) - 3*d(h). -h**3 + 3*h**2 + 6*h Let r(g) = -5*g**2 + g - 5. Let z(f) = -9*f**2 + 123*f - 12. Calculate 2*r(s) - z(s). -s**2 - 121*s + 2 Let w(u) = 379*u**2 - 10*u - 28. Let r(v) = 126*v**2 - 4*v - 10. What is -8*r(z) + 3*w(z)? 129*z**2 + 2*z - 4 Let f = 478 + -474. Let m(j) = -5*j - 13. Let q(w) = w + 1. Calculate f*q(t) + m(t). -t - 9 Let h(x) = -69*x**3 + 11*x**2. Let c(y) = y**3 + y**2 + y + 1. Let u(q) = -24*q**3 - 8*q**2 - 10*q - 10. Let z(f) = 10*c(f) + u(f). Determine 2*h(r) - 11*z(r). 16*r**3 Let a(p) = 21*p**2 - 14*p - 7. Let c(l) = 36*l**2 - 27*l - 13. Determine -5*a(s) + 3*c(s). 3*s**2 - 11*s - 4 Let k(j) = -3*j**2 - 4*j - 5. Let r be 28/13 - (264/26 - 10). Let m(w) = 0*w + 4 + 3*w + 66*w**r - 63*w**2. Give 2*k(a) + 3*m(a). 3*a**2 + a + 2 Let y(d) = 7*d**2 + 3*d + 2. Let n(u) = -11*u**2 - 5*u - 3. Let o be 288/(-32) - (2 + -6). What is o*n(p) - 8*y(p)? -p**2 + p - 1 Let t(q) = 10*q**2 + 4*q + 6. Let v(x) = 2*x**3 - 4*x**2 - x + 5. Let p be v(1). Let h(k) = -3*k**2 - 8 - k - p + 11 - 3. Calculate -14*h(u) - 4*t(u). 2*u**2 - 2*u + 4 Let h(n) = 4*n**3 - 7*n**2 + 123*n + 8. Let b(c) = -c**3 - c**2 - 21*c - 1. Determine -6*b(g) - h(g). 2*g**3 + 13*g**2 + 3*g - 2 Let y(q) = -12*q**3 + q**2 - 6. Suppose 508*a - 512*a = -20, 2*f + 4*a - 6 = 0. Let z(d) = -12*d**3 + d**2 - 7. Determine f*y(l) + 6*z(l). 12*l**3 - l**2 Let o = 506 - 507. Let q(a) be the first derivative of a + 1. Let y(b) = -2*b - 7. Give o*y(z) - 6*q(z). 2*z + 1 Let a(f) = -2*f - 2. Let j(p) = -1312*p + 8. What is 5*a(h) + j(h)? -1322*h - 2 Let o(p) = -4*p**3 + 15*p**2 - 122*p + 7. Let k(u) = u**3 - 3*u**2 - 2*u - 1. What is -5*k(d) - o(d)? -d**3 + 132*d - 2 Let v(b) = 13*b**2 + 5*b - 10. Let l(m) = 7*m**2 + 3*m - 5. Suppose 95 = -1465*p + 1446*p. Calculate p*l(o) + 3*v(o). 4*o**2 - 5 Let v(f) = -f**2 + 2. Let d(q) = -21*q**2 + 272*q + 17. What is d(c) - 9*v(c)? -12*c**2 + 272*c - 1 Let i(j) = -22*j**2 + 8*j - 4. Let o(f) = 21*f**2 - 7*f + 5. Calculate 4*i(y) + 3*o(y). -25*y**2 + 11*y - 1 Let y(x) = -3*x**2 - 6. Let p(j) = 14*j**2 - 9*j + 4. Let a = 234 + -243. Let q(u) = -3*u**2 + 2*u - 1. Let z(t) = a*q(t) - 2*p(t). What is -y(d) - 6*z(d)? 9*d**2 Let u(x) = -11*x**2 + x + 1. Let l(b) = 14*b**2 - 3*b + 376. Calculate -l(i) - 2*u(i). 8*i**2 + i - 378 Let g(c) = -c + 4. Let q(n) = -7*n**2 + 69*n - 110. Let s be q(8). Let k(p) = -p + 4. Determine s*k(t) + 7*g(t). -t + 4 Let r(q) be the first derivative of -q**2/2 - 2*q + 25118. Let s(l) = 13 - 3 + 5*l + 1. Let j be (-32)/14 - (-2)/7. Determine j*s(h) - 11*r(h). h Let l(x) = 11*x**3 + x**2 - x - 1. Let b(h) = -10679*h**3 - 2*h**2 + 2*h + 2. Calculate b(s) + 2*l(s). -10657*s**3 Let u = 534 - 540. Let p(x) = -x**2 - x - 1. Let c(y) be the first derivative of -4*y**3/3 - 4*y**2 - 7*y - 12. What is u*p(d) + c(d)? 2*d**2 - 2*d - 1 Let j(v) = 24*v**3 + v**2 - 11. Let u(x) = -x**2 + 101*x - 296. Let l be u(3). Let z(g) = -5*g**3 + 2. Determine l*j(n) - 11*z(n). 7*n**3 - 2*n**2 Let k(o) = -39*o**2 - 5*o - 14. Let d(n) = -9*n**2 - n - 1. Determine 4*d(a) - k(a). 3*a**2 + a + 10 Let p(d) = -44*d - 11. Suppose -3*z + 9 = b - 4*z, 2*z = -4*b - 6. Let v(a) = -9*a - 2. What is b*p(c) - 11*v(c)? 11*c Let a(f) = 17*f**3 - 7*f**2 + 7*f + 11. Let s = -4273 - -4276. Let o = -4 - -11. Let r(x) = -8*x**3 + 3*x**2 - 3*x - 5. Calculate o*r(k) + s*a(k). -5*k**3 - 2 Let v(l) = -140*l**2 - 350*l. Let g(n) = -11*n**2. Calculate -13*g(b) + v(b). 3*b**2 - 350*b Let c(q) = 46*q**2 - 14*q - 1389. Let y(j) = 16*j**2 - 5*j - 464. What is -3*c(b) + 8*y(b)? -10*b**2 + 2*b + 455 Let p(d) = 4*d**3 + 6*d**2 + 198*d + 1. Let f(s) = -13*s**3 - 20*s**2 - 595*s - 5. Determine -2*f(k) - 7*p(k). -2*k**3 - 2*k**2 - 196*k + 3 Let i(n) = 2*n**3 - 6*n - 1. Let z(g) = 21097*g**3 + 12*g + 2. What is 2*i(j) + z(j)? 21101*j**3 Let c(a) = 2*a**3 + 425*a**2 + 15*a - 4. Let o(f) = f**3 + 211*f**2 + 6*f - 2. Calculate 2*c(i) - 5*o(i). -i**3 - 205*i**2 + 2 Suppose 469 = -2*m + 471. Let s(q) = -8*q + 4. Let f(v) be the third derivative of v**4/24 - v**3/6 + 4*v**2. What is m*s(w) + 5*f(w)? -3*w - 1 Let w(m) = -3*m + 2. Let i(a) = -6*a + 4. Let s be 14/6 + (-1)/3. Suppose 2*f = 2*h - 18, -67*h + 63*h = -2*f - 26. Suppose s*l + h = 3*l. Give l*i(v) - 9*w(v). 3*v - 2 Let y(p) = 25*p - 90. Let x(t) = -29*t + 91. Calculate -10*x(a) - 11*y(a). 15*a + 80 Let z(w) = -w**3 - 5*w**2 - 3*w + 1. Let t(d) be the second derivative of d**5/10 + 2*d**4/3 + 5*d**3/6 - d**2 + 18*d + 261. Determine 5*t(i) + 8*z(i). 2*i**3 + i - 2 Let o(r) = 7*r**3 + 23*r**2 + 2. Let q(b) = 5*b**3 + 17*b**2 + 3. Let v(f) = 2*o(f) - 3*q(f). Let g(m) = m**3 + m**2 + 1. Calculate 5*g(l) + v(l). 4*l**3 Let t(l) be the first derivative of 0 + 7 + 2*l**2 + 199*l**3 + 6*l + 5 - 198*l**3. Let x(n) = 4*n**2 + 5*n + 6. What is 3*t(c) - 2*x(c)? c**2 + 2*c + 6 Let d(u) = 6*u**3 + 3*u**2 + 3*u + 2. Let p(n) = -5*n**2 + 4*n**3 - 11*n - 5 + 1 + 6*n - 15*n**3. Suppose -36 - 12 = -16*m. Give m*p(l) + 5*d(l). -3*l**3 - 2 Let y(g) = -3*g + 5. Let b = 3733 + -3742. Let d(r) = -13*r + 21. What is b*y(x) + 2*d(x)? x - 3 Suppose 101 = -5*k - 119. Let q(c) = c**2 + 1. Let i(v) be the first derivative of 8*v**3 + 22*v - 1743. Give k*q(j) + 2*i(j). 4*j**2 Let v(y) = 220*y - 297. Let l(k) = -295*k + 296. Calculate -3*l(h) - 4*v(h). 5*h + 300 Let w = 12 + -18. Let o(u) = -17 - 12 - 18 + 54 - 17 + 56*u - 58*u. Let l(f) = -1. Let n(s) = -s**3 - 6*s**2 - s - 5. Let j be n(-6). Calculate j*o(r) + w*l(r). -2*r - 4 Let h = -12091 + 12092. Let r(y) = 1. Let d(m) = -4 - 2 + 3. Let x(f) = -d(f) - 2*r(f). Let j(z) = -z - 8. Give h*j(l) + 6*x(l). -l - 2 Let a(x) = -2*x**2 + 205*x + 1 - 213*x + 3*x**3 + 0*x**2 - 2*x**2 + 2. Let t(u) = -4*u**3 + 5*u**2 + 8*u - 4. Calculate -5*a(z) - 4*t(z). z**3 + 8*z + 1 Let c(q) = 11. Let h(j) = 1062*j + 19. Give -2*c(b) + h(b). 1062*b - 3 Let j(h) be the first derivative of 7*h**3 + h**2 + 927. Let i(w) = -62*w**2 - 7*w. Calculate 2*i(q) + 7*j(q). 23*q**2 Suppose -15 = -99*f + 94*f. Suppose 6*l - f*l = -12. Let y(c) = c**2 - 4*c. Let b(x) be the second derivative of -5*x**3/6 + 4*x. What is l*b(t) + 5*y(t)? 5*t**2 Let w(i) = -i**2 - 25*i + 33. Let g be w(-26). Let q(u) = -46 + 36 - g*u + 6. Let d(a) = 4*a + 2. What is -11*d(f) - 6*q(f)? -2*f + 2 Let t(v) be the second derivative of -2*v**3/3 + v**2 - 20*v. Let j(c) = -61*c + 31*c + 37*c + c**2 - 3. Give -4*j(a) - 7*t(a). -4*a**2 - 2 Let d(x) = -115*x**2 + 8*x + 16. Let y(t) = -229*t**2 + 14*t + 30. Give -7*d(j) + 4*y(j). -111*j**2 + 8 Let b(m) = -m**2 + m - 1. Let o(x) = 14*x**2 - 6*x + 10. Let z(d) = -2*d**3 - 2*d**2 - 455*d - 454. Let h be z(-1). Give h*o(l) + 8*b(l). 6*l**2 + 2*l + 2 Suppose 6 = 9*w - 21. Suppose 44 = -w*o - 8*o. Let d(q) = -q**3 - 1. Let u(m) = 2*m**3 + 2*m**2 - m + 4. Calculate o*d(z) - u(z). 2*z**3 - 2*z**2 + z Let x(v) = -v**2. Let b(o) = 2*o**2 - 6*o - 1. Let q be -15 + (-112)/(-7) - 2. What is q*b(y) - 4*x(y)? 2*y**2 + 6*y + 1 Let i(o) = -2*o - 12. Let p be 4 + (-11 - (-10 + 8)). Let w(x) = -3*x - 18. Calculate p*w(c) + 8*i(c). -c - 6 Let y(u) = 2*u**3 - 4*u**2. Let j(t) = -t**3 + 5*t**2 + 3*t + 19. Suppose 0 = -7*s + 3*s + 24. Let m be j(s). Let c(g) = -g**2. Calculate m*y(f) - 4*c(f). 2*f**3 Suppose 3*k - 42 = 3*y, 76*k - 5*y = 72*k + 64. Let n(v) = 7*v**3 - 6*v**2 + 6*v - 12. Let z(x) = 6*x**3 - 5*x**2 + 5*x - 11. Determine k*z(d) - 5*n(d). d**3 - 6 Let q(i) = -9*i - 6*i + 21*i - 11 - 17*i. Let u = -90 - -84. Let m(o) = 5*o + 5. Determine u*q(a) - 13*m(a). a + 1 Let s(x) = 12*x + 440. Let b(g) = 14*g + 426. Determine 5*b(d) - 6*s(d). -2*d - 510 Let k(n) = -3*n - 1. Let z(c) = -7*c - 2. Suppose 78*l = 43*l - 140. Determine l*z(t) + 9*k(t). t - 1 Let d = 502 + -500. Let i(r) = -113*r**d + 5*r + 118*r**2 + 5 + 1. Let o(n) = -4*n**2 - 4*n - 5. Give 5*i(y) + 6*o(y). y**2 + y Let y(x) = -x**3 - 23*x**2 - 6*x + 44. Let z be y(-23). Let r = -179 + z. Let k(h) = h**2 - h + 1. Let j(s) = 2*s**2 - 3*s + 3. Give r*k(w) - j(w). w**2 Let v = -51 - -52. Let u be (-25)/15*(-2 - v). Suppose -4*c = -3*c - u. Let k(x) = -x**2 - 3*x - 2. Let y(q) = -3*q**2 - 7*q - 4. Calculate c*k(t) - 2*y(t). t**2 - t - 2 Let v(h) = -3*h**3 - 4*h**2 + 2*h. Let l(m) = -m**2. Let k(q) = -q + 125. Let j be k(129). Determine j*l(w) +
{ "pile_set_name": "DM Mathematics" }
20)/(sqrt(70)/sqrt(7)))/sqrt(4)*-6. -6*sqrt(3) + 3 Simplify sqrt(171)/(-4*sqrt(1089) - sqrt(1089) - sqrt(1089)) + -2*-3*sqrt(19)*-1. -397*sqrt(19)/66 Simplify 0 + -2 + sqrt(126)/(sqrt(7)*5 + sqrt(7))*3. -2 + 3*sqrt(2)/2 Simplify -1 + ((1 + (sqrt(704)*-2 - sqrt(704)))*2 + (sqrt(704) - (sqrt(704) + 0 + sqrt(704))*3) + (sqrt(704) - 4*-2*sqrt(704)))**2. -64*sqrt(11) + 2819 Simplify -1 + (1*(sqrt(1715) - sqrt(1715)*2) + sqrt(1715))/(1*sqrt(245)*-3). -1 Simplify 1*(-2 + sqrt(325)) - ((4*sqrt(65) + sqrt(65) + sqrt(65))*-4)/sqrt(5). -2 + 29*sqrt(13) Simplify ((sqrt(114) + sqrt(114)*3)*-4)/(sqrt(96) + (sqrt(96) - sqrt(96)*-4 - sqrt(96)))*5. -4*sqrt(19) Simplify 4 + -2 + sqrt(128) + sqrt(128) + 2 + (3*(sqrt(128) + 0))**2. 16*sqrt(2) + 1156 Simplify -3*(-1 + -1 + sqrt(245)*1 + -3 + sqrt(245)*-2 + sqrt(245)). 15 Simplify (sqrt(50)/((sqrt(2) - (1*sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128))) + sqrt(2)))/(-2*(sqrt(80) + 3*sqrt(80))). sqrt(5)/960 Simplify ((sqrt(77)*-1*-6 + 6*2*sqrt(77))/(-5*(sqrt(252)*1 + sqrt(252))))**2. 99/100 Simplify 3 + (((sqrt(1539) + sqrt(1539) + 0)*-6 + (sqrt(1539) - (sqrt(1539) + 1 + 1)))**2 - (-5 + (sqrt(1539) - (sqrt(1539) + sqrt(1539)*2*3)))**2). -108*sqrt(19) + 166194 Simplify (3*sqrt(162)/sqrt(9))/(-1*sqrt(96)). -3*sqrt(3)/4 Simplify -2*((sqrt(85) + 1*sqrt(85) + sqrt(85))*3)/(sqrt(50)/sqrt(40)). -36*sqrt(17) Simplify (-2*(2*sqrt(68)*-2 - sqrt(68) - sqrt(68)))/(-1*(1*sqrt(100) + sqrt(4))). -2*sqrt(17) Simplify sqrt(19) + -3 + -3 - (sqrt(931)*-6)**2 - ((sqrt(133) + (sqrt(133) - 3*sqrt(133)) - sqrt(133))/sqrt(7) - (4*(sqrt(19) + -1) - sqrt(19))**2). -33335 - 21*sqrt(19) Simplify ((1 + sqrt(325) + 4 + sqrt(325) - (sqrt(325) + 0 + sqrt(325) + 1)) + -5*(sqrt(325) - (sqrt(325) - 1*sqrt(325)) - sqrt(325))*3)**2. 16 Simplify 2*-5*((-2 + sqrt(1300))**2 + 1). -13050 + 400*sqrt(13) Simplify (2*sqrt(162) - (sqrt(8) + sqrt(2))*-4) + 1 + (sqrt(2) + -2 - sqrt(2))*-3. 7 + 30*sqrt(2) Simplify (sqrt(33)/(sqrt(12) + sqrt(3)))**2 + ((1 + sqrt(11) + sqrt(11))*-3)**2 - (-5 + sqrt(11)*2 + 0). 34*sqrt(11) + 3701/9 Simplify (5*sqrt(224)/sqrt(4)*6)/(sqrt(40)/((sqrt(320) - (sqrt(320) + -1*sqrt(320))) + sqrt(320))). 480*sqrt(7) Simplify 3 + 0 + sqrt(272) + 2 + sqrt(153) + 0. 5 + 7*sqrt(17) Simplify -1*sqrt(252) + -4 + (sqrt(7) + -3*(5 + sqrt(7)))*2. -34 - 10*sqrt(7) Simplify sqrt(500) + 0 + sqrt(45) + 2 + -5 + 2 + -2. -3 + 13*sqrt(5) Simplify ((3*sqrt(19)*-3 + (sqrt(19) - (sqrt(76) + -2)))*-1*2)**2. -160*sqrt(19) + 7616 Simplify sqrt(204)/((sqrt(96) - (sqrt(96) + (sqrt(96)*-2 - sqrt(96))))/sqrt(8))*5 + (sqrt(1088) + 0 + sqrt(1088) - (sqrt(153))**2*3). -459 + 53*sqrt(17)/3 Simplify 3 + sqrt(40)/sqrt(72) - (((sqrt(540)*-5)/sqrt(12))/sqrt(9))**2. -122 + sqrt(5)/3 Simplify -5*-2*((0 + sqrt(1700) - sqrt(1700)) + 5 - (sqrt(1700) - (-3 + sqrt(1700) + 3)))**2. 250 Simplify ((sqrt(660) + -1*sqrt(660))/sqrt(12))/sqrt(5) + sqrt(88)/(3*sqrt(8)*-1). -sqrt(11)/3 Simplify (-4*((sqrt(24)/sqrt(2) - sqrt(12))*-4)/(sqrt(64)*-2 - sqrt(4))*-3)**2. 0 Simplify 1 + 5 + sqrt(28) - (sqrt(7) + sqrt(42)/sqrt(24) + sqrt(7) - (1 + sqrt(1008)))**2. -2507/4 - 17*sqrt(7) Simplify ((2*sqrt(84)*4 + sqrt(84))/sqrt(7))/(6*sqrt(100)*6). sqrt(3)/20 Simplify (sqrt(190) - sqrt(190)*-1*-4)/(-3*(sqrt(40)/sqrt(4) - sqrt(10)) - sqrt(10)) + (-1*sqrt(95)*2)/sqrt(5)*-5. 13*sqrt(19) Simplify (sqrt(280)/(sqrt(288) - 2*sqrt(288)))/(sqrt(343) + (sqrt(343) + sqrt(343)*-1)*4 + sqrt(343) + sqrt(343)). -sqrt(5)/126 Simplify (-2*4*(sqrt(7) + 3))**2 - (sqrt(70)*-1)/sqrt(10)*4. 1024 + 388*sqrt(7) Simplify (sqrt(810)*-2 + sqrt(810))/(sqrt(200) - 2*sqrt(200)). 9*sqrt(5)/10 Simplify -2*(sqrt(405) + 0)**2 - (sqrt(405) + -1)**2*-4. -72*sqrt(5) + 814 Simplify ((sqrt(304) - (sqrt(304) + sqrt(304) + 1 + 1 + sqrt(304))) + -2 - -4*(sqrt(304) + sqrt(304) + -2)*3)**2. -4928*sqrt(19) + 147920 Simplify (4 + sqrt(80)*3*-2)**2*-1. -2896 + 192*sqrt(5) Simplify ((sqrt(45) - 2*sqrt(45)*-2) + 2*sqrt(720) + sqrt(45))/(sqrt(27)/(sqrt(3)*1*-6 - sqrt(3))). -98*sqrt(5) Simplify ((sqrt(600)*2)/(sqrt(3)*-4*-1))**2. 50 Simplify (-2*(sqrt(1573) + 0) - sqrt(1573) - (1*sqrt(130))/sqrt(10)*6)**2. 19773 Simplify (sqrt(6897) - (sqrt(6897) + (-4*sqrt(6897) - sqrt(6897))*-3))/(sqrt(3)*-2*2 + -3*1*sqrt(3)). 165*sqrt(19)/7 Simplify (sqrt(196) - (sqrt(196)*-3 - sqrt(196)))/sqrt(2) + (5*sqrt(4)/sqrt(2) - sqrt(2)) + sqrt(2) + -1*sqrt(8). 38*sqrt(2) Simplify ((sqrt(2736) + 4 - sqrt(2736)) + -1)**2 + ((-3 + sqrt(2736) + 1 - sqrt(2736)) + sqrt(2736))**2. -48*sqrt(19) + 2749 Simplify 4 + (sqrt(33)/(sqrt(12)/sqrt(4)))**2 + (sqrt(176) - (sqrt(176) + 2))**2*3. 27 Simplify (4*(((sqrt(24) - (sqrt(24) + sqrt(24)*2))*5 - sqrt(24))*-4)/(sqrt(1452)*1*-3))**2. 512/9 Simplify (sqrt(168)/sqrt(48))/(sqrt(72)*1) - (2 + sqrt(448) + -1 + 3). -95*sqrt(7)/12 - 4 Simplify (sqrt(88) - (sqrt(88)*2*-4 + sqrt(88)))/(sqrt(8) - -4*(sqrt(392) - sqrt(8))). 8*sqrt(11)/25 Simplify (2*(4 + sqrt(18)) + 4*3*sqrt(200) + 4)**2. 3024*sqrt(2) + 31896 Simplify (1*sqrt(117)*-4 + 0)**2 - ((-3*sqrt(312)*-2)/sqrt(6))**2. 0 Simplify ((-5*sqrt(156) - sqrt(156))/sqrt(12)*-6)**2 - sqrt(104)/sqrt(648)*-6. 2*sqrt(13)/3 + 16848 Simplify (sqrt(13)*-1*-3*6 - (3 + (-2 + sqrt(468) - sqrt(468)) - sqrt(468)))**2 + -3. -48*sqrt(13) + 7486 Simplify 4 + (sqrt(27) + -5 + 2)**2 + -2*sqrt(3) + 2 + -2. -20*sqrt(3) + 40 Simplify ((3*sqrt(84) - sqrt(84))/sqrt(6))/(2*(sqrt(2) - sqrt(8)))*5 + 4. -5*sqrt(7) + 4 Simplify ((sqrt(11) + 1)*-3 - sqrt(11)) + sqrt(275) + -1 - 5*((sqrt(11) - sqrt(99)/sqrt(9)) + -5 - sqrt(11)). 6*sqrt(11) + 21 Simplify sqrt(24)/(sqrt(2) - -1*sqrt(2)*4) + ((sqrt(108)*-1 + sqrt(108))*6)/sqrt(9). 2*sqrt(3)/5 Simplify 6*(4 + 4 + 2*sqrt(2)) - -5*(sqrt(100) + (sqrt(100) + 2*sqrt(100) - sqrt(100)))/sqrt(2). 48 + 87*sqrt(2) Simplify (-2 + sqrt(2057) + sqrt(2057)*-1 + -3)**2 + (5 + (sqrt(272) + 1)*-2)**2. -48*sqrt(17) + 1122 Simplify -3*(-4 + (-2*sqrt(272) - sqrt(272) - sqrt(272)) + (sqrt(272) - (-4 + sqrt(272)*2)) + 5 + -5). 60*sqrt(17) Simplify ((sqrt(121) - 1*sqrt(121))*-4 + 5*sqrt(121)*1)/((sqrt(11) - 2*sqrt(11))*5 - (sqrt(11) - sqrt(44)/sqrt(4))*-3). -sqrt(11) Simplify -6*(-3*sqrt(450))/(sqrt(108)/(-1*sqrt(12))). -90*sqrt(2) Simplify (sqrt(117)*-2*-2)**2 + sqrt(130)/(1*sqrt(810) - sqrt(10)). sqrt(13)/8 + 1872 Simplify 5*(-1*(sqrt(208) + -1*sqrt(208) + -2))**2. 20 Simplify 2*(6*(sqrt(30) + sqrt(60)/sqrt(2)*4 - sqrt(30)))/(-1*sqrt(490) - ((sqrt(120)*-2 + sqrt(120) + sqrt(120))/sqrt(12) - sqrt(10))). -8*sqrt(3) Simplify -1*(-2*(sqrt(80) + -3) + ((sqrt(5) - ((sqrt(180)*2 - sqrt(180)) + sqrt(180)))**2 - (4 + (sqrt(5)*-1)**2))). -602 + 8*sqrt(5) Simplify -5 + ((sqrt(19)*2 + 0)**2 + 0)*-4. -309 Simplify 0 + (sqrt(170)*-2*1)/((sqrt(110) + (sqrt(110)*1 - sqrt(110)))/sqrt(11)). -2*sqrt(17) Simplify (-1 + (sqrt(80) - (-1 + sqrt(80) + -1) - (sqrt(605)*2 + sqrt(605))*2))**2. -132*sqrt(5) + 21781 Simplify -1 + (-3 + 0 + sqrt(242) + -4 + ((sqrt(242) + 0 - sqrt(242)) + -5)*-3)**2. 176*sqrt(2) + 305 Simplify ((sqrt(972) - (sqrt(972) + (sqrt(972) - (-2 + -1*sqrt(972))))) + -3)**2. 360*sqrt(3) + 3913 Simplify (((sqrt(63) - sqrt(693)/sqrt(539))*2)/((sqrt(9) + ((sqrt(441) - (-4*sqrt(441) - sqrt(441))) + sqrt(441) - sqrt(441)))*-6))**2. 4/12943 Simplify ((((sqrt(187) - sqrt(187)*2) + sqrt(187))*3 - -2*2*sqrt(187))/(((sqrt(484)*1)/sqrt(11))/sqrt(4)))**2. 272 Simplify (6*(sqrt(209) - (sqrt(209) + sqrt(209)*2))*-6)/(sqrt(44)*-3 + (2*sqrt(88) + sqrt(88))/sqrt(8)). -24*sqrt(19) Simplify sqrt(36)/(-6*(2*sqrt(12) - sqrt(12))) - ((-2*sqrt(48))**2 - 3*(sqrt(3) - sqrt(48))). -192 - 55*sqrt(3)/6 Simplify ((1*sqrt(76))**2 + -3 + -6*sqrt(76)*1)*2. -24*sqrt(19) + 146 Simplify -4 + (-1 + -1 + sqrt(45))**2 + ((sqrt(45) - sqrt(180)*1)**2 - (sqrt(4500) + (sqrt(4500)*-2)**2)). -17910 - 42*sqrt(5) Simplify -5 + ((sqrt(7) - -3*(sqrt(70)/sqrt(10) - sqrt(7))) + sqrt(112)*-1)**2*4. 247 Simplify ((sqrt(2736)*1 - sqrt(2736)) + -4*(sqrt(19) - sqrt(304)) - (-5 + sqrt(38)/sqrt(2)*-3))**2. 150*sqrt(19) + 4300 Simplify ((sqrt(114) - -5*sqrt(114)*1)*6)/(sqrt(12)/((sqrt(80)/sqrt(4))/sqrt(10))). 36*sqrt(19) Simplify 2*sqrt(77)/(sqrt(66)/(sqrt(12)/sqrt(2))) - (-1 + sqrt(56)/(sqrt(40)/(sqrt(15)/sqrt(3)) + sqrt(8))). 1 + 3*sqrt(7)/2 Simplify (4 + (sqrt(1331) + (sqrt(1331) - (sqrt(1331)*1*-2 + sqrt(1331))) - sqrt(1331)))*-6. -132*sqrt(11) - 24 Simplify
{ "pile_set_name": "DM Mathematics" }
3*(w - 1)**2*(w + 3) What is d in 4/5*d**2 - 12*d - 64/5 = 0? -1, 16 Let t be 4*-1*4*(-45)/432. Find a such that -1/3*a**5 + 2*a**2 + 0*a + t*a**3 + 0 - 2/3*a**4 = 0. -3, -1, 0, 2 Suppose -5*k + 2*u + 48 = 0, 0 = 3*k - 2*u - u - 27. Factor -3*y**3 - 2*y**3 + k*y**3 + 4*y - 9*y**3. -4*y*(y - 1)*(y + 1) Let d(z) be the third derivative of 9/100*z**5 + 0*z**3 + 0 + 0*z + 12*z**2 + 3/560*z**8 - 9/200*z**6 - 1/350*z**7 - 1/20*z**4. Suppose d(v) = 0. What is v? -2, 0, 1/3, 1 Let g(t) be the second derivative of -t**6/105 - 3*t**5/70 + 3*t - 15. Solve g(p) = 0. -3, 0 Suppose 3*q + 4*x = 2*x - 79, 3*q + 5*x = -85. Let z be 2*(-6)/(48/q). Factor -45/4*k**3 - 13/2*k**2 + z*k**4 + 9*k - 2. (k - 2)*(k + 1)*(5*k - 2)**2/4 Let u(l) = l**3 - 8*l**2 - 26*l - 5. Let t be u(11). Suppose 67*y**3 - 6*y**4 + t*y**3 - 147*y**3 + 2*y**5 = 0. What is y? -1, 0, 4 Let m(y) be the first derivative of 7*y**6/24 - 3*y**5/4 + 5*y**4/12 - 7*y**2 - 11. Let r(i) be the second derivative of m(i). Let r(v) = 0. What is v? 0, 2/7, 1 Let g(r) = -r**2 + 10*r + 13. Let d be g(11). Suppose -4*b**2 + 2*b**2 + 4*b**2 + 2*b**d - 4*b**4 = 0. Calculate b. -1, 0, 1 Let f = 43 - 38. Factor -10*c - f*c**3 + 20*c + 5*c**2 - 3*c + 15 + 18*c. -5*(c - 3)*(c + 1)**2 Suppose -2*q = -6, q = 4*s + 4*q - 293. Let 5*u**3 - s*u + 71*u - 4*u**3 + 4*u**2 = 0. What is u? -4, 0 Suppose 4 + 15 = 5*n - 2*t, 0 = -2*n + 5*t + 16. Determine p so that -p + p**n - 2*p**2 + 8 + p**3 + 3*p - 10*p = 0. -2, 1, 2 Let l(x) = 5*x**3 + 195*x**2 + 185*x - 395. Let t(u) = 5*u**3 + 194*u**2 + 185*u - 396. Let r(h) = -6*l(h) + 5*t(h). Determine m so that r(m) = 0. -39, -2, 1 Let a(o) be the second derivative of -o**5/90 + o**4/18 + 10*o**3/27 - 8*o**2/3 - 98*o - 1. Factor a(b). -2*(b - 4)*(b - 2)*(b + 3)/9 Suppose 5*x - 8 = x. Suppose -7 + 5 = -3*j - 5*r, j + 5*r + 6 = 0. Factor x*c - j*c**2 - c**3 - c**3 - 4*c. -2*c*(c + 1)**2 Let -9*b**4 + 28*b**2 + 36*b**2 - 19*b**2 - 12*b - 24*b**3 = 0. Calculate b. -4, 0, 1/3, 1 Let a = 21 - 4. Let b = a + -9. Factor -8*r - 5*r**3 - 1 + 3*r**3 - b*r**2 + 1. -2*r*(r + 2)**2 Let s = 75964/3 - 25320. What is a in 64/3*a + 32/3*a**2 + s*a**5 - 4/3*a**4 - 64/3 - 32/3*a**3 = 0? -2, 1, 2 Let w(n) = 3*n**2 - 15*n - 6. Let q = -32 + 25. Let v(h) = -3*h**2 + 16*h + 7. Let i(g) = q*w(g) - 6*v(g). Factor i(d). -3*d*(d - 3) Let y(c) be the second derivative of -c**7/1260 + c**6/135 - 8*c**3/3 + 17*c. Let r(b) be the second derivative of y(b). Suppose r(l) = 0. Calculate l. 0, 4 Suppose -4 = -4*r - 4*a, 0 = 2*r - 0*a - 2*a - 6. Factor 64 - 10*o + 76*o - 12*o**2 - 2*o**4 - r*o - 14*o**3. -2*(o - 2)*(o + 1)*(o + 4)**2 Suppose 7*l - 3*l = v + 4, -2*v = -3*l + 28. Let u = v - -22. Determine t so that 3/2*t + 3/2*t**u - 3/2 - 3/2*t**3 = 0. -1, 1 Let k = -98 - -144. Let h be (-10)/42 + k/69. Factor 6/7 - h*v**2 + 3/7*v. -3*(v - 2)*(v + 1)/7 Let s(b) = -8*b**2 - 184*b - 588. Let i(y) = 3*y**2 + 73*y + 235. Let o(p) = 12*i(p) + 5*s(p). Factor o(j). -4*(j + 5)*(j + 6) Let i(n) be the first derivative of -n**3 + 6*n**2 - 9*n + 62. Suppose i(m) = 0. Calculate m. 1, 3 Solve 89*t**3 + 7*t**5 + 46*t**4 + 53212 + 18*t**2 - 27*t - 53212 - 5*t**3 = 0 for t. -3, -1, 0, 3/7 Let c(i) be the second derivative of -i**7/2520 - i**6/360 - i**5/120 - i**4/72 - 11*i**3/6 - 13*i. Let d(l) be the second derivative of c(l). Factor d(v). -(v + 1)**3/3 Let q(g) = 26*g**3 - 100*g**2 + 72*g + 178. Let z(k) = -8*k**3 + 33*k**2 - 24*k - 59. Let c(h) = -6*q(h) - 20*z(h). Determine v, given that c(v) = 0. -1, 2, 14 Let t(l) = -l**3 - 18*l**2 - 2*l - 20. Let n be t(-18). Factor n*w**2 - 4*w**3 - 8*w - 6*w**3 + 169*w**4 - 167*w**4. 2*w*(w - 2)**2*(w - 1) Let i(m) = -m**3 - 2*m**2 + 3. Let b be i(0). Factor -k**4 - 7*k**b + 4*k**3 - 498*k + 497*k - 3*k**2. -k*(k + 1)**3 Let q be 8 + (-133)/14 - (-1)/(-2). Let w be (q - 1) + 135/39. Factor 8/13*o - w - 2/13*o**2. -2*(o - 3)*(o - 1)/13 Let n(o) be the first derivative of -4/9*o**6 + 6/5*o**5 + 0*o**2 + 0*o - o**4 + 16 + 2/9*o**3. Factor n(h). -2*h**2*(h - 1)**2*(4*h - 1)/3 Let w(c) = 7*c - c**2 - 58 + 27 + 31. Let d(b) = 8*b + 0*b**2 - 5*b**2 + 4*b**2. Let v(n) = -6*d(n) + 7*w(n). Solve v(i) = 0. 0, 1 Let s(q) be the second derivative of -q**5/50 + 2*q**4/5 - 11*q**3/15 - 47*q + 3. Factor s(y). -2*y*(y - 11)*(y - 1)/5 Let u(p) be the third derivative of 25/96*p**4 + p**2 + 17/120*p**5 + 0 + 0*p - 5/1344*p**8 + 1/40*p**6 - 1/105*p**7 + 1/4*p**3. Find m, given that u(m) = 0. -1, -3/5, 2 Let v be -1 - 9/(-2) - (82 + -80). Suppose -3 + 3/2*t**2 + v*t = 0. Calculate t. -2, 1 Suppose 0 = 440*v - 425*v. What is m in 8/7*m + v - 2*m**3 - 24/7*m**2 = 0? -2, 0, 2/7 Let w = -12060/37 - -29/148. Let f = w + 328. Factor -f*g + 3/4*g**2 + 0. 3*g*(g - 3)/4 Let j(d) be the second derivative of d**7/168 + d**6/40 + d**5/80 - d**4/16 - d**3/12 + 109*d. Factor j(y). y*(y - 1)*(y + 1)**2*(y + 2)/4 Let i(u) = 5*u + 80. Let a be i(-19). Let y(b) = -2*b**2 - 29*b + 15. Let w be y(a). Let 0 + 0*f**2 + 2/7*f**5 + w*f + 2/7*f**3 - 4/7*f**4 = 0. Calculate f. 0, 1 Let h = -155/198 + 8/11. Let g = h + 599/90. Factor -g*y + 9/5 - 12/5*y**2. -3*(y + 3)*(4*y - 1)/5 What is k in -2592 + k**4 - 4*k**4 - 944*k**2 - 80*k**3 + 1289*k + 3*k**4 - 2*k**4 - 4169*k = 0? -18, -2 Let f = -389 - -389. Let j(y) be the third derivative of 0*y**7 + 0*y**3 + 0 - 1/60*y**6 + 1/336*y**8 + f*y + 0*y**5 + 4*y**2 + 1/24*y**4. Factor j(z). z*(z - 1)**2*(z + 1)**2 Let z(q) be the third derivative of -2/3*q**3 + 0*q - 1/180*q**6 + 0*q**4 + 0 - 4*q**2 - 1/180*q**5. Let t(m) be the first derivative of z(m). Factor t(b). -2*b*(3*b + 1)/3 Let r(m) = 4*m**5 + 4*m**4 + 6*m**3 + 2*m**2 - 10*m + 6. Let d(b) = b**5 + b**4 - b**3 + b**2. Let s(y) = 6*d(y) - r(y). Solve s(o) = 0. -3, -1, 1 Let h(t) = -12*t**2 + t. Let n(r) = -r**3 - 4*r**2 - 3*r + 2. Let g be n(-3). Let k(d) = 12*d**2. Let f(y) = g*k(y) + 3*h(y). Factor f(b). -3*b*(4*b - 1) Suppose 88*f - 68*f**2 + 145*f**2 - 76*f**2 + 1936 = 0. What is f? -44 Factor 0 + 8/11*g + 2/11*g**3 + 10/11*g**2. 2*g*(g + 1)*(g + 4)/11 Let i be (10 - 1)*((-39)/(-63))/13. Factor 3/7*o**4 + 0 - 3/7*o**2 + i*o**5 - 3/7*o**3 + 0*o. 3*o**2*(o - 1)*(o + 1)**2/7 Let a = -6840 + 6843. Let -86/3*h**a + 146/3*h**2 - 112/3*h + 32/3 - 2/3*h**5 + 22/3*h**4 = 0. Calculate h. 1, 4 Let j(g) be the second derivative of -g**4/48 + 31*g**3/24 + 2*g - 207. Factor j(v). -v*(v - 31)/4 Let u(n) = n**2 + 8*n. Let l be u(-8). Suppose 2*a - 4 - 2 = l. Factor -4*h**2 + 4*h**2 + 3*h**a - h + 2*h - 5*h**2 + 9*h**4. h*(h + 1)*(3*h - 1)**2 Let b = 1509499/5555 + 70/1111. Let q = b - 271. Factor 2/5*h**2 + 2/5 + q*h. 2*(h + 1)**2/5 Let c = -66 + 72. Let q be (2*(-1)/6)/(c/(-36)). Factor 2/11*g**3 + 6/11*g**q + 6/11*g + 2/11. 2*(g + 1)**3/11 Let k(w) be the second derivative of w**5/5 - 32*w**4/3 + 512*w**3/3 - 4*w - 1. Let k(d) = 0. Calculate d. 0, 16 Solve 18/11*k**2 + 4/11*k + 0 + 14/11*k**3 = 0. -1, -2/7, 0 Let f(c) be the first derivative of -c**3/6 + 9*c**2/2 + 19*c/2 + 44. Factor f(r). -(r - 19)*(r + 1)/2 Let -96/7 - 78/7*m + 18/7*m**2 = 0. Calculate m. -1, 16/3 Let p(i) be the first derivative of -5*i**6/72 - i**5/4 - i**4/3 - 2*i**3/9 - 2*i**2 + 6. Let q(l) be the second derivative of p(l). Factor q(h). -(h + 1)*(5*h + 2)**2/3 Suppose -17 = -8*p + 23. Factor -6*l**4 + 60*l**2 + 3*l**4 + 30*l**3 + 40*l + p*l**4 + 3*l**4. 5*l*(l + 2)**3 Let k(g) be the first derivative of -g**3/5 - 6*g**2/5 + 3*g - 7. Find j such that k(j) = 0. -5, 1 Let z(v) = -3*v**2 + 1. Let y(d) = -44*d**2 - 30*d - 58. Let u(m) = -2*y(m) + 28*z(m). Factor u(f). 4*(f + 3)*(f + 12) Suppose c + r - 8 = -0*c, -2*r - 10 = 0. Suppose -c*h + 16*h = 6. Factor -15/4*d + 9/4 + 7/4*d**h - 1/4*d**3. -(d - 3)**2*(d - 1)/4 Let a be 4/(-22) - (-748)/121. Factor -a*q - 1 - 3*q**2 - 6 + 2 + 2. -3*(q + 1)**2 Suppose -3*q**3 - 3/2*q**4 + 6 + 12*q + 9/2*q**2 = 0. What is q? -2, -1, 2 Let m(y) = 2*y**2 + 98*y + 1148. Let p(c) = 6*c**2 + 295*c + 3442. Let h(q) = -7*m(q) + 2*p(q). Factor h(z). -2*(z + 24)**2 Let v(m) be the second derivative of 7*m + 0*m**3 + 0*m**2 + 0 + 1/16*m**4. Determine y so that v(y) = 0. 0 Let k(x) be the first derivative of x**6/300 + x**5/200 + 10*x - 9. Let o(f) be the first derivative of k(f). Suppose o(i) = 0. Calculate i. -1, 0 Suppose 0 = -5*r + 5, r - 4 =
{ "pile_set_name": "DM Mathematics" }
6*q + (-2)/(-2) prime? False Let s(n) = 2*n - 1. Let x(l) = -5*l + 1. Let t(c) = -7*s(c) - 3*x(c). Is t(6) prime? False Let i = 471 - 52. Is i a prime number? True Suppose 705 = 4*q + q. Is q composite? True Suppose -8*j + 20387 = 11*j. Is j a composite number? True Suppose 0 = 2*i + 1934 - 6712. Is i a prime number? True Suppose 28*p - 1081 = 27*p. Is p prime? False Let p(x) be the third derivative of x**6/120 + x**5/5 + 11*x**4/24 + 7*x**3/6 + 2*x**2. Let s be (-8)/2*(-10)/(-4). Is p(s) composite? False Suppose 0 = -0*w + 3*w - 15. Suppose -450 = -w*y + 115. Is y prime? True Let k = 3659 - 2296. Is k prime? False Is 1188/20 + (-4)/10 composite? False Let j(p) = p**2 - 9*p + 3. Let o be j(8). Let l(h) = h**2 + 7*h + 7. Let d be l(o). Is 7 - 0/(d + 2) a composite number? False Let n(x) = 3*x**2 + 3*x + 1. Let h = 6 + -9. Is n(h) a prime number? True Suppose 30*x - 21944 = 22*x. Is x composite? True Let f = -419 + 785. Suppose 0 = -5*k - g + f, 3*g + 0*g = -12. Is (k/(-8))/(2/(-8)) composite? False Suppose 12490 = 5*q + 5*g, 9*q - 7*q + 3*g = 4991. Is q composite? False Suppose 2*d + 3*j = j - 112, 0 = 4*d + 5*j + 229. Let l = 118 + d. Is l a prime number? True Suppose -z + 35 = 2*z - 2*b, 52 = 5*z + 3*b. Is (z/33)/(2/762) a composite number? False Let q be (-2 - 2)/(3 + -4). Let k(n) = n**2 + 2*n + 2. Is k(q) composite? True Suppose 427 = -2*w + 2*d + 3*d, 5*w + 1111 = -2*d. Let p be (0 + 0)/2 - w. Let z = p + -136. Is z prime? False Let p = -3 + 3. Suppose -h + p = -2. Suppose 2*j - 18 = -a, h*a - j - 48 = -2*j. Is a prime? False Suppose -3*l - 2*g - 221 = -4*l, 0 = 3*l - 5*g - 664. Is l a prime number? True Let t(o) = o**2 - 7*o + 2. Let y be t(7). Suppose 4*w + y*f + f - 5 = 0, 4*f = 5*w - 14. Suppose -w*m - 187 = -3*m. Is m a prime number? False Suppose l + 2*z + 1 = -5, l - 2*z = -6. Let a be 47/(-3) - 4/l. Is ((-5)/a)/(2/114) composite? False Let p = -166 + 289. Is p prime? False Suppose 5*y - 2*a + 1 = -1, -3*y = -5*a - 14. Is 25176/32 - y/8 a prime number? True Suppose 2*p = p. Suppose -3*w = -2*t - 3 - 4, p = -t - w + 9. Suppose 5 - 513 = -t*q. Is q prime? True Let c(f) = f**2 - 4*f + 2. Let p be c(3). Let z be (-402)/(-9) - p/3. Suppose 15 = -5*r - 2*t + 59, 5*t + z = 3*r. Is r a prime number? False Let b = 7760 - 12164. Is (-4)/14 - b/28 composite? False Suppose q + 4 = -2*c, -2*c + 4 = -0. Let h be -1 + (-1 + q)*-2. Suppose h = m + 2*x, -m - 59 = -4*m - 4*x. Is m prime? False Suppose -3*g = -0*g - 6, -2*t + 3*g + 756 = 0. Is t composite? True Let j(y) = 2 - 3*y + 5*y - 3. Let u be j(6). Let q = u + 15. Is q composite? True Let n(u) = u**2 + 6*u + 2. Let l = -9 + 3. Let h be n(l). Suppose 0 = -h*f + 118 - 8. Is f prime? False Let z(j) = -j**3 + 5*j**2 + 4*j + 8. Let i be z(6). Let b = i - -6. Suppose b*y = 6, 2*y + 113 = p - 0*y. Is p a composite number? True Suppose -4*w + 72 + 300 = 0. Is w prime? False Suppose 5*p + c = 9237, -p = -5*p + 4*c + 7380. Is p a prime number? True Let i = 105 - 11. Let j = 137 - i. Is j prime? True Let w(s) = 6*s - 14. Let h be w(13). Suppose -4*d - 46 = 106. Let a = d + h. Is a composite? True Let j(f) be the second derivative of 3*f**4/4 + f**3/3 + f. Is j(3) prime? False Suppose -m = 2*x - 3673 + 1171, -2*x + 2490 = -2*m. Is x a prime number? True Let g be 1/1 + (-16)/(-4). Suppose 5 = 2*m + 5*c, -1 - 3 = -g*m - 4*c. Suppose 2*l - 7*l - t + 1085 = m, -t - 217 = -l. Is l a prime number? False Let k = 771 - 440. Is k a composite number? False Let n be -2 - -87*(-3)/(-3). Let t = -18 + n. Is t composite? False Suppose -q + 4 = -0*q. Suppose q*n - 430 = -5*x, 204 = 4*x + 2*n - 140. Is x a composite number? True Suppose -a = 3 - 9. Let m(b) be the third derivative of b**4/4 + b**3/6 + 7*b**2. Is m(a) composite? False Let h(c) = 2*c**2 + 5*c**2 + 5*c**3 + 7*c - 4*c**3 - 4*c + 7. Let s be h(-6). Suppose 0 = -2*j - 3 + s. Is j a composite number? False Let h = 484 - 249. Is h composite? True Let t(q) = q**3 + 13*q**2 + 11*q - 7. Let o be t(-12). Suppose 4*v - 256 = -o*u, -2*v - u - 3*u = -122. Suppose g + 0*g = v. Is g composite? True Is 3 + 46/(-14) - (-50380)/28 a composite number? True Suppose b + 2 = 37. Suppose -5*n = -10*n + b. Is 75/7 + 2/n a prime number? True Let h(o) = 5*o + 6. Suppose -6 = -f + 2*f. Let k(t) = 4*t + 5. Let y(x) = f*h(x) + 7*k(x). Is y(-4) a composite number? False Let x = -966 + 1621. Suppose 2*o = -o + 6. Suppose -7*j + o*j + x = 0. Is j composite? False Let u(i) be the first derivative of 2*i**3/3 - 5*i**2/2 + 4*i - 1. Is u(3) prime? True Let z(r) = r + 7. Let n be z(-5). Suppose -n*i + 2*s + 0*s = -366, 16 = 4*s. Is i a prime number? False Let l = 4 - 7. Suppose -2*i = 3*i. Is 3/l - (-92 - i) composite? True Suppose -4*x = -3*n + 1266, 0*x - 3*x = 0. Is n composite? True Let r(a) be the first derivative of 28*a**3/3 + a**2 - 2*a + 3. Let d be r(-3). Suppose -5*q + d = 9. Is q a prime number? True Suppose 4*s + 32 = 5*s + 5*c, 0 = -3*s - c + 110. Suppose 5*i - 115 = 4*u, 8 = -2*i + 5*u + s. Suppose i = h - 12. Is h composite? True Let g(q) = 3*q**3 - 3*q**2 + 6*q - 5. Suppose y = -3 + 7. Is g(y) a composite number? False Suppose c = -3*n + 1043, -n + 1727 = 4*n - 4*c. Is n prime? True Let v = 235 + -138. Is v a composite number? False Let d be 574/6 + (-2)/3. Suppose -q + 91 = -5*x, -x - d = -q - 0*x. Suppose 3*g = o + q, 5*o + 82 = 5*g - 68. Is g a composite number? True Let y = -3375 + 5030. Is y prime? False Suppose -5*l + 4105 = -2*s, -6*s = -10*s. Is l prime? True Let m(t) = 17*t**3 - 4*t**2 + 4*t - 1. Suppose l = -3*l + 5*j + 8, -2*j = 2*l - 4. Is m(l) prime? True Let x(r) = r**2 + 8*r + 4. Let l be x(-3). Let q = 14 + l. Is q prime? True Let f(n) = n**2 + 3*n + 4. Let j be f(-3). Suppose -l = -j*l + 150. Suppose -4*b + l = -90. Is b a prime number? False Suppose 3*i = 15 - 6. Let g(b) = 4*b**2 - 2 + 2*b**2 + 4*b**2 + 3*b. Is g(i) composite? False Let p be 20/(-15) - 44/(-6). Suppose 3*s - 222 = -3*v, 2*v + p*s - 138 = 2*s. Is v composite? False Suppose -3*u + 907 = -2*u. Is u a composite number? False Let c = -2 + 0. Let i be 3*c*3/(-9). Suppose 0 = -2*z - 3*g + 127, 2*g - i = 4. Is z a composite number? False Let x(t) = -82*t + 29. Is x(-15) composite? False Let s(p) = 2*p + 2. Let y be s(-5). Let b(x) = x**2 + 9*x + 8. Let w be b(y). Suppose 0 = -w*q - 2*q + 26. Is q a composite number? False Let d(m) = -m + 1. Let v(f) = -f**2 - 9*f - 3. Let r(h) = -3*d(h) + v(h). Let u be r(-4). Suppose 0 = -n - 4, -u*x + 540 = 2*x - 4*n. Is x prime? True Suppose 0 = 5*f - 13 - 7. Let a(h) = -3*h**2 - 1 + f - h**3 + 2 - 4*h. Is a(-4) a composite number? False Suppose 270 = 5*t + 5*k, -3*k = -6*k + 6. Let r = 59 + t. Is r prime? False Let n(i) = 16*i + 4 - 2 + 0 - 3. Is n(5) a composite number? False Suppose 0 = 3*s + 148 - 13. Suppose -p + 5*p = -12. Is (7/p)/(5/s) composite? True Let z(c) = -c**3 - c**2 + 3*c - 5. Is z(-4) a composite number? False Let a be 2/(-5) - 470/(-50). Is 2/3 - (-327)/a a prime number? True Let x(m) = 30*m**2 + 3*m + 2. Let f(d) be the second derivative of -119*d**4/12 - 13*d**3/6 - 9*d**2/2 - 2*d. Let b(a) = 2*f(a) + 9*x(a). Is b(-1) composite? False Suppose -4*l = -l - 1134. Let x = -158 + l. Let a = -127 + x. Is a a prime number? False Let c(l) = l**2 - l - 9. Let n be c(0). Let q = 35 + n. Is q a composite number? True Is (4*265/40)/(3/222) prime? False Let d(j) = j**2 - 5*j + 2. Let q be d(3). Is ((-249)/(-6))/((-2)/q) a composite number? False Let m(g) = -40*g + 3. Let s = -8 + 4. Is m(s) composite? False Suppose 0 = -5*b + 1822 + 3963. Is b a prime number? False Suppose -4*g + 86 = -3*g. Let m = 126 - g. Suppose -3*r + 156 = -3*n, -r - 3*n + m = -0*n. Is r a composite number? True Let c(v) = 4*v + v**2 - 2 + 2*v + 2. Let a be c(-8). Suppose -668 = -4*m + 4*x, x + a = -3*x. Is m composite? False Let g(v) be the third derivative of v**5/30 + v**4 + 7*v**3/6 - 3*v**2. Is g(-18) a composite number? False Suppose g - p - 14 = 0, -5*g + 0*g - 5*p = -110. Let n = 107 - g. Is n prime? True Suppose g = 3*w + 37, 0 = -2*g + 4*g + 5*w - 129. Let f(c) = -c + 3. Let p be f(0). Suppose -p*o = o - g. Is o a composite number? False Suppose -5*s = -2*s - 5*u - 14, -s + 5*u + 8 = 0. Suppose -g - 2*g + 5*r - 4 = 0, -s*r + 14 = 4*g. Is g a composite number? False Le
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when 106 is divided by 93. 13 Calculate the remainder when 855 is divided by 33. 30 What is the remainder when 269 is divided by 156? 113 What is the remainder when 608 is divided by 122? 120 Calculate the remainder when 1518 is divided by 76. 74 Calculate the remainder when 253 is divided by 48. 13 What is the remainder when 7 is divided by 2? 1 Calculate the remainder when 421 is divided by 71. 66 Calculate the remainder when 60 is divided by 3. 0 Calculate the remainder when 962 is divided by 249. 215 Calculate the remainder when 221 is divided by 36. 5 What is the remainder when 2062 is divided by 6? 4 What is the remainder when 1964 is divided by 759? 446 What is the remainder when 55 is divided by 18? 1 Calculate the remainder when 1087 is divided by 11. 9 What is the remainder when 4176 is divided by 199? 196 Calculate the remainder when 11568 is divided by 21. 18 What is the remainder when 735 is divided by 16? 15 What is the remainder when 387 is divided by 26? 23 Calculate the remainder when 3547 is divided by 68. 11 What is the remainder when 38021 is divided by 39? 35 What is the remainder when 186 is divided by 45? 6 Calculate the remainder when 701 is divided by 137. 16 Calculate the remainder when 216 is divided by 16. 8 Calculate the remainder when 453 is divided by 57. 54 Calculate the remainder when 4737 is divided by 20. 17 Calculate the remainder when 797 is divided by 34. 15 Calculate the remainder when 437 is divided by 107. 9 What is the remainder when 20 is divided by 13? 7 Calculate the remainder when 173 is divided by 25. 23 Calculate the remainder when 24 is divided by 15. 9 What is the remainder when 793 is divided by 38? 33 Calculate the remainder when 831 is divided by 24. 15 Calculate the remainder when 269 is divided by 135. 134 What is the remainder when 4099 is divided by 41? 40 Calculate the remainder when 2319 is divided by 129. 126 What is the remainder when 85 is divided by 16? 5 Calculate the remainder when 105 is divided by 17. 3 Calculate the remainder when 1058 is divided by 53. 51 Calculate the remainder when 200 is divided by 48. 8 Calculate the remainder when 450 is divided by 401. 49 Calculate the remainder when 12416 is divided by 270. 266 Calculate the remainder when 183 is divided by 92. 91 Calculate the remainder when 1149 is divided by 96. 93 What is the remainder when 138 is divided by 35? 33 Calculate the remainder when 743 is divided by 185. 3 Calculate the remainder when 2055 is divided by 172. 163 Calculate the remainder when 334 is divided by 90. 64 Calculate the remainder when 42 is divided by 29. 13 Calculate the remainder when 80 is divided by 31. 18 Calculate the remainder when 990 is divided by 4. 2 Calculate the remainder when 253 is divided by 27. 10 What is the remainder when 19 is divided by 12? 7 What is the remainder when 10 is divided by 3? 1 Calculate the remainder when 31 is divided by 5. 1 Calculate the remainder when 1042 is divided by 451. 140 What is the remainder when 71 is divided by 18? 17 What is the remainder when 2156 is divided by 15? 11 What is the remainder when 823 is divided by 273? 4 Calculate the remainder when 90 is divided by 22. 2 What is the remainder when 3096 is divided by 6? 0 Calculate the remainder when 8606 is divided by 21. 17 What is the remainder when 1893 is divided by 143? 34 What is the remainder when 2233 is divided by 279? 1 Calculate the remainder when 138 is divided by 25. 13 What is the remainder when 181 is divided by 105? 76 What is the remainder when 268 is divided by 57? 40 What is the remainder when 4073 is divided by 1018? 1 What is the remainder when 1349 is divided by 27? 26 Calculate the remainder when 1758 is divided by 575. 33 What is the remainder when 132 is divided by 7? 6 Calculate the remainder when 473 is divided by 9. 5 What is the remainder when 3969 is divided by 34? 25 What is the remainder when 1158 is divided by 17? 2 Calculate the remainder when 476 is divided by 329. 147 Calculate the remainder when 343 is divided by 23. 21 Calculate the remainder when 1126 is divided by 34. 4 Calculate the remainder when 30995 is divided by 42. 41 Calculate the remainder when 1254 is divided by 47. 32 What is the remainder when 19 is divided by 19? 0 What is the remainder when 162 is divided by 44? 30 What is the remainder when 103 is divided by 26? 25 What is the remainder when 224 is divided by 33? 26 Calculate the remainder when 1529 is divided by 21. 17 Calculate the remainder when 6989 is divided by 304. 301 What is the remainder when 830 is divided by 13? 11 Calculate the remainder when 224 is divided by 154. 70 What is the remainder when 985 is divided by 975? 10 What is the remainder when 6 is divided by 4? 2 What is the remainder when 293 is divided by 8? 5 Calculate the remainder when 242 is divided by 7. 4 What is the remainder when 1994 is divided by 661? 11 What is the remainder when 1956 is divided by 74? 32 Calculate the remainder when 124 is divided by 14. 12 Calculate the remainder when 131 is divided by 51. 29 Calculate the remainder when 5691 is divided by 219. 216 What is the remainder when 269 is divided by 54? 53 Calculate the remainder when 143 is divided by 67. 9 What is the remainder when 510 is divided by 19? 16 What is the remainder when 1253 is divided by 314? 311 Calculate the remainder when 137 is divided by 63. 11 Calculate the remainder when 97 is divided by 5. 2 What is the remainder when 77 is divided by 27? 23 Calculate the remainder when 116 is divided by 23. 1 What is the remainder when 165 is divided by 46? 27 What is the remainder when 210 is divided by 71? 68 Calculate the remainder when 196 is divided by 33. 31 Calculate the remainder when 351 is divided by 34. 11 Calculate the remainder when 270 is divided by 56. 46 What is the remainder when 239 is divided by 11? 8 Calculate the remainder when 1393 is divided by 5. 3 Calculate the remainder when 162 is divided by 55. 52 What is the remainder when 8312 is divided by 99? 95 What is the remainder when 54 is divided by 22? 10 What is the remainder when 362 is divided by 69? 17 What is the remainder when 435 is divided by 211? 13 What is the remainder when 167 is divided by 109? 58 What is the remainder when 177 is divided by 167? 10 What is the remainder when 625 is divided by 18? 13 What is the remainder when 790 is divided by 99? 97 What is the remainder when 271 is divided by 4? 3 What is the remainder when 107 is divided by 23? 15 Calculate the remainder when 5447 is divided by 116. 111 Calculate the remainder when 1626 is divided by 48. 42 What is the remainder when 17 is divided by 9? 8 Calculate the remainder when 243 is divided by 66. 45 Calculate the remainder when 38 is divided by 26. 12 What is the remainder when 528 is divided by 137? 117 Calculate the remainder when 1181 is divided by 16. 13 What is the remainder when 2715 is divided by 80? 75 What is the remainder when 3399 is divided by 148? 143 Calculate the remainder when 131 is divided by 16. 3 Calculate the remainder when 5183 is divided by 13. 9 Calculate the remainder when 42 is divided by 22. 20 What is the remainder when 3581 is divided by 47? 9 What is the remainder when 222 is divided by 36? 6 What is the remainder when 915 is divided by 34? 31 What is the remainder when 1055 is divided by 349? 8 Calculate the remainder when 253 is divided by 11. 0 What is the remainder when 67 is divided by 26? 15 What is the remainder when 89 is divided by 8? 1 What is the remainder when 863 is divided by 269? 56 What is the remainder when 131 is divided by 9? 5 What is the remainder when 195 is divided by 40? 35 Calculate the remainder when 1403 is divided by 13. 12 What is the remainder when 413 is divided by 23? 22 What is the remainder when 46 is divided by 45? 1 What is the remainder when 296 is divided by 18? 8 Calculate the remainder when 252 is divided by 48. 12 What is the remainder when 4506 is divided by 196? 194 What is the remainder when 308 is divided by 25? 8 Calculate the remainder when 1229 is divided by 30. 29 Calculate the remainder when 576 is divided by 27. 9 Calculate the remainder when 198 is divided by 191. 7 What is the remaind
{ "pile_set_name": "DM Mathematics" }
n denominator of -97/120 and 53/9060? 18120 What is the least common multiple of 5590 and 16770? 16770 What is the common denominator of 61/1800 and 67/45? 1800 Calculate the lowest common multiple of 30 and 7312. 109680 Find the common denominator of -33/1040 and -41/35490. 283920 What is the least common multiple of 340680 and 46760? 2384760 Find the common denominator of -173/2670 and -97/356. 5340 What is the least common multiple of 5664 and 1192? 843936 What is the common denominator of 63/1184 and 17/196100? 1568800 What is the common denominator of -74/433875 and 79/39? 433875 What is the smallest common multiple of 240 and 18? 720 What is the common denominator of -27/16 and 113/61820? 247280 Calculate the smallest common multiple of 33822 and 197295. 1183770 What is the least common multiple of 6 and 495906? 495906 Find the common denominator of -85/1792 and 63/718336. 5028352 Find the common denominator of -33/640 and 7/136. 10880 Calculate the common denominator of -14/2295 and 82/14229. 71145 What is the common denominator of -91/36 and -13/1098? 2196 Calculate the common denominator of 9/16 and -91/24116. 96464 What is the smallest common multiple of 8 and 8790488? 8790488 Calculate the common denominator of 85/276486 and 55/504. 3317832 What is the least common multiple of 2 and 102805? 205610 Calculate the common denominator of -47/57000 and 80/2451. 2451000 What is the smallest common multiple of 51429 and 33201? 2622879 Calculate the lowest common multiple of 203005 and 55365. 609015 Find the common denominator of 93/710 and -19/316. 112180 What is the lowest common multiple of 56 and 84707? 677656 Calculate the lowest common multiple of 5376 and 1232. 59136 What is the common denominator of -149/204 and -25/1325808? 22538736 What is the least common multiple of 19880 and 5964? 59640 What is the common denominator of -17/1524 and -61/48006? 96012 Find the common denominator of 121/2912 and 43/2912. 2912 Find the common denominator of 127/100880 and -77/776. 100880 Calculate the least common multiple of 12 and 197154. 394308 Find the common denominator of 179/3480 and 61/44312. 664680 What is the lowest common multiple of 1488 and 78? 19344 Calculate the common denominator of 46/279 and -21/43028. 387252 What is the smallest common multiple of 5544 and 4719? 792792 What is the common denominator of -58/29421 and -61/99? 323631 What is the common denominator of -97/1374 and -67/2290? 6870 What is the least common multiple of 724 and 23168? 23168 Calculate the least common multiple of 148428 and 10773. 1335852 Find the common denominator of 139/1344 and 103/32496. 909888 What is the lowest common multiple of 58515 and 7050? 585150 What is the common denominator of -37/14 and 37/48937? 97874 What is the smallest common multiple of 2649 and 76821? 76821 What is the least common multiple of 172306 and 2559? 516918 What is the lowest common multiple of 234624 and 64? 234624 What is the least common multiple of 19400 and 1400? 135800 Calculate the common denominator of 31/82368 and 8/195. 411840 What is the smallest common multiple of 1610 and 8250? 1328250 Find the common denominator of -5/6 and 109/600. 600 What is the least common multiple of 53586 and 4? 107172 Find the common denominator of -25/71994 and 97/48. 575952 What is the common denominator of 20/151687 and 81/4? 606748 What is the common denominator of 25/8232 and -95/55076? 2313192 Calculate the common denominator of 73/7192 and 85/5394. 21576 What is the smallest common multiple of 63948 and 3650? 1598700 What is the least common multiple of 34600 and 72? 311400 Calculate the least common multiple of 3872 and 223608. 894432 Calculate the smallest common multiple of 604232 and 4. 604232 Calculate the smallest common multiple of 84 and 264. 1848 Calculate the common denominator of 39/220 and 89/102776. 5652680 What is the common denominator of 83/8426 and 35/454238? 4996618 What is the common denominator of 23/390 and 21/9685? 58110 Calculate the least common multiple of 820953 and 63. 820953 Calculate the common denominator of -47/16233 and 35/2319. 16233 What is the least common multiple of 21528 and 48438? 193752 Calculate the least common multiple of 141432 and 1245. 707160 Calculate the lowest common multiple of 248532 and 41422. 248532 What is the smallest common multiple of 11304 and 64998? 259992 Calculate the common denominator of 25/119952 and -41/1584. 1319472 Calculate the common denominator of 49/16328 and -15/69394. 277576 What is the smallest common multiple of 5244 and 108? 47196 What is the lowest common multiple of 8296 and 204? 24888 Calculate the common denominator of -41/316 and -77/32232. 32232 Calculate the common denominator of -89/70932 and 113/4626. 212796 Calculate the smallest common multiple of 640 and 62784. 627840 Calculate the common denominator of 143/984 and -53/64. 7872 Calculate the common denominator of -17/756 and -85/124656. 1121904 Calculate the common denominator of 46/355 and -41/23643. 118215 Calculate the lowest common multiple of 2856 and 424. 151368 What is the common denominator of 99/142 and -16/34293? 68586 Calculate the least common multiple of 5420 and 200. 54200 What is the common denominator of -61/33792 and 107/2816? 33792 Find the common denominator of -69/160 and -31/344900. 2759200 Calculate the least common multiple of 57497 and 15681. 172491 What is the least common multiple of 1600 and 32? 1600 Calculate the least common multiple of 15444 and 2288. 61776 Calculate the lowest common multiple of 5 and 4854. 24270 Calculate the least common multiple of 430 and 4128. 20640 What is the lowest common multiple of 1352 and 46020? 1196520 What is the common denominator of -29/172654 and -81/6574? 3280426 Calculate the smallest common multiple of 223 and 9. 2007 What is the common denominator of 101/7710 and -143/168? 215880 Calculate the smallest common multiple of 1455 and 55872. 279360 Calculate the lowest common multiple of 20 and 200. 200 Calculate the least common multiple of 72 and 72036. 144072 What is the common denominator of -37/2763 and -19/133545? 400635 What is the least common multiple of 20 and 207528? 1037640 What is the smallest common multiple of 1488 and 3968? 11904 What is the common denominator of -44/67 and -62/16415? 16415 Calculate the common denominator of 31/1101751 and -35/6. 6610506 Calculate the common denominator of -43/26 and -27/9607. 19214 Calculate the lowest common multiple of 121 and 325. 39325 Calculate the common denominator of -25/33196 and 73/32. 265568 Find the common denominator of 62/1155 and -41/428820. 4717020 Calculate the smallest common multiple of 8890 and 508. 17780 Calculate the lowest common multiple of 8664 and 380. 43320 What is the common denominator of -37/1520 and -53/6320? 120080 Find the common denominator of 37/48 and 115/1704. 3408 Find the common denominator of -21/23 and -59/32522. 32522 Calculate the common denominator of -115/8274 and -41/22064. 66192 Find the common denominator of 87/1960 and -35/12. 5880 Find the common denominator of 59/518 and -59/956376. 6694632 What is the smallest common multiple of 480 and 17810? 854880 Calculate the smallest common multiple of 13026 and 624. 104208 Calculate the least common multiple of 596976 and 24874. 596976 Find the common denominator of -13/666051 and -157/18762. 1332102 Find the common denominator of -125/6408 and 17/1308. 698472 Calculate the common denominator of 131/246240 and -151/65664. 984960 Find the common denominator of 37/363 and 35/132. 1452 What is the common denominator of 38/21189 and 14? 21189 What is the common denominator of 95/12156 and 71/28? 85092 Find the common denominator of -61/10560 and -53/130680. 1045440 Find the common denominator of 109/9240 and -103/140. 9240 Find the common denominator of -53/53856 and -151/197472. 592416 Calculate the common denominator of -105/15236 and -99/416. 121888 Calculate the least common multiple of 1885 and 29580. 384540 What is the common denominator of 7/47685 and 11/120? 381480 Calculate the common denominator of -31/296919 and -26/296919. 296919 What is the common denominator of -145/8448 and 127/29568? 59136 What is the common denominator o
{ "pile_set_name": "DM Mathematics" }
rm of -39, -44, -61, -96, -155, -244? -j**3 + 2*j - 40 What is the l'th term of 14, 4, 8, 32, 82, 164, 284? l**3 + l**2 - 20*l + 32 What is the k'th term of 15, 18, 9, -18, -69, -150, -267? -k**3 + 10*k + 6 What is the y'th term of 9, -1, -15, -33, -55? -2*y**2 - 4*y + 15 What is the a'th term of -999, -1000, -1003, -1008, -1015, -1024? -a**2 + 2*a - 1000 What is the d'th term of 36, 33, 16, -21, -84, -179? -d**3 - d**2 + 7*d + 31 What is the y'th term of 146, 151, 168, 203, 262? y**3 - 2*y + 147 What is the o'th term of 83, 154, 227, 302, 379? o**2 + 68*o + 14 What is the s'th term of -109, -236, -391, -586, -833, -1144, -1531, -2006? -2*s**3 - 2*s**2 - 107*s + 2 What is the o'th term of -202, -336, -468, -598, -726? o**2 - 137*o - 66 What is the g'th term of 65, 76, 89, 104, 121? g**2 + 8*g + 56 What is the o'th term of 8, 3, -2, -7, -12? -5*o + 13 What is the u'th term of 68, 90, 138, 224, 360? 2*u**3 + u**2 + 5*u + 60 What is the v'th term of 32, 50, 72, 98, 128, 162, 200? 2*v**2 + 12*v + 18 What is the o'th term of -225, -450, -675, -900? -225*o What is the u'th term of -40, -28, -16, -4? 12*u - 52 What is the g'th term of 189, 184, 179? -5*g + 194 What is the j'th term of 226, 898, 2024, 3610, 5662, 8186, 11188, 14674? j**3 + 221*j**2 + 2*j + 2 What is the t'th term of 176, 696, 1562, 2774, 4332, 6236, 8486? 173*t**2 + t + 2 What is the y'th term of -20, -49, -88, -143, -220, -325, -464? -y**3 + y**2 - 25*y + 5 What is the k'th term of 90, 377, 858, 1533, 2402? 97*k**2 - 4*k - 3 What is the z'th term of 188, 376, 568, 764? 2*z**2 + 182*z + 4 What is the j'th term of -78, -78, -70, -48, -6, 62? j**3 - 2*j**2 - j - 76 What is the k'th term of -1427, -5711, -12851, -22847, -35699, -51407, -69971? -1428*k**2 + 1 What is the s'th term of 154, 155, 156, 157, 158, 159? s + 153 What is the m'th term of -785, -1569, -2353? -784*m - 1 What is the u'th term of 3, -2, -7? -5*u + 8 What is the a'th term of 389, 391, 401, 425, 469, 539, 641, 781? a**3 - 2*a**2 + a + 389 What is the c'th term of -348, -337, -320, -297? 3*c**2 + 2*c - 353 What is the s'th term of -9, 83, 331, 813, 1607, 2791? 13*s**3 + s - 23 What is the c'th term of -6, -17, -36, -63, -98? -4*c**2 + c - 3 What is the m'th term of 21, -39, -205, -531, -1071, -1879? -9*m**3 + m**2 + 29 What is the k'th term of -20, -59, -130, -239, -392, -595, -854, -1175? -k**3 - 10*k**2 - 2*k - 7 What is the j'th term of 148, 159, 184, 229, 300? j**3 + j**2 + j + 145 What is the p'th term of 56, 65, 74, 83, 92? 9*p + 47 What is the r'th term of 19, 63, 137, 247, 399, 599, 853? r**3 + 9*r**2 + 10*r - 1 What is the c'th term of -27, -59, -91? -32*c + 5 What is the c'th term of -9, -39, -87, -153, -237, -339, -459? -9*c**2 - 3*c + 3 What is the w'th term of 0, -16, -72, -186, -376? -3*w**3 - 2*w**2 + 11*w - 6 What is the d'th term of -38, -50, -76, -122, -194, -298, -440? -d**3 - d**2 - 2*d - 34 What is the m'th term of -45, -61, -99, -171, -289, -465? -2*m**3 + m**2 - 5*m - 39 What is the o'th term of 38, 35, 22, -7, -58, -137, -250? -o**3 + o**2 + o + 37 What is the k'th term of 167, 96, 25? -71*k + 238 What is the i'th term of -560, -561, -562, -563, -564, -565? -i - 559 What is the h'th term of -280, -272, -264, -256, -248? 8*h - 288 What is the t'th term of -49, -44, -39? 5*t - 54 What is the b'th term of -156, -314, -476, -642, -812, -986, -1164? -2*b**2 - 152*b - 2 What is the m'th term of 21, -4, -87, -258, -547, -984? -5*m**3 + m**2 + 7*m + 18 What is the t'th term of -197, -762, -1703, -3020, -4713? -188*t**2 - t - 8 What is the w'th term of -50, -45, -40? 5*w - 55 What is the a'th term of -193, -194, -197, -202, -209, -218, -229? -a**2 + 2*a - 194 What is the p'th term of -3968, -7937, -11906, -15875, -19844? -3969*p + 1 What is the t'th term of -23, -48, -73? -25*t + 2 What is the d'th term of 62, 67, 72? 5*d + 57 What is the l'th term of -66, -278, -638, -1146, -1802, -2606? -74*l**2 + 10*l - 2 What is the r'th term of -16, -65, -176, -373, -680, -1121? -4*r**3 - 7*r**2 - 5 What is the h'th term of 94, 216, 338? 122*h - 28 What is the q'th term of -1463, -1480, -1509, -1550, -1603, -1668, -1745? -6*q**2 + q - 1458 What is the o'th term of 0, 18, 62, 144, 276, 470, 738, 1092? 2*o**3 + o**2 + o - 4 What is the n'th term of -117, -200, -271, -324, -353, -352, -315? n**3 - 90*n - 28 What is the t'th term of -2357, -4712, -7067, -9422, -11777? -2355*t - 2 What is the s'th term of 898, 899, 900, 901? s + 897 What is the v'th term of 123, 127, 145, 183, 247, 343, 477, 655? v**3 + v**2 - 6*v + 127 What is the m'th term of -17, -79, -183, -329, -517, -747? -21*m**2 + m + 3 What is the z'th term of 448, 891, 1334, 1777, 2220? 443*z + 5 What is the p'th term of 20749, 20745, 20739, 20731? -p**2 - p + 20751 What is the g'th term of 22, 113, 270, 493? 33*g**2 - 8*g - 3 What is the u'th term of 11, -17, -63, -127, -209, -309, -427? -9*u**2 - u + 21 What is the q'th term of -6579, -6578, -6577? q - 6580 What is the g'th term of 454, 454, 456, 460? g**2 - 3*g + 456 What is the x'th term of -64, -65, -58, -37, 4, 71, 170, 307? x**3 - 2*x**2 - 2*x - 61 What is the d'th term of -97, -61, -27, 5, 35, 63? -d**2 + 39*d - 135 What is the w'th term of -126, -131, -140, -153? -2*w**2 + w - 125 What is the a'th term of -431, -893, -1341, -1769, -2171, -2541, -2873? a**3 + a**2 - 472*a + 39 What is the h'th term of -52, -205, -460, -817? -51*h**2 - 1 What is the k'th term of -7, 5, 23, 47, 77, 113, 155? 3*k**2 + 3*k - 13 What is the c'th term of 8874, 8874, 8872, 8868, 8862, 8854? -c**2 + 3*c + 8872 What is the a'th term of -1300, -2587, -3874, -5161, -6448? -1287*a - 13 What is the c'th term of 90, 92, 94? 2*c + 88 What is the r'th term of -471, -601, -745, -909, -1099, -1321, -1581? -r**3 - r**2 - 120*r - 349 What is the w'th term of -8, -92, -314, -740, -1436? -11*w**3 - 3*w**2 + 2*w + 4 What is the h'th term of -1497, -1496, -1495, -1494? h - 1498 What is the f'th term of -154, -141, -126, -109, -90, -69, -46? f**2 + 10*f - 165 What is the w'th term of -177, -173, -169, -165, -161? 4*w - 181 What is the t'th term of -14, -24, -36, -50? -t**2 - 7*t - 6 What is the g'th term of 27, 33, 59, 117, 219, 377, 603? 2*g**3 - 2*g**2 - 2*g + 29 What is the u'th term of 25, 43, 61, 79? 18*u + 7 What is the n'th term of -9213, -9212, -9211, -9210, -9209? n - 9214 What is the g'th term of -711, -719, -727, -735, -743? -8*g - 703 What is the o'th term of -52, -105, -158, -211, -264? -53*o + 1 What is the s'th term of 1114, 1105, 1082, 1039, 970, 869, 730, 547? -s**3 - s**2 + s + 1115 What is the d'th term of 2429, 2428, 2427, 2426, 2425, 2424? -d + 2430 What is the c'th term of 127, 983, 3303, 7819, 15263, 26367? 122*c**3 + 2*c + 3 What is the c'th term of 134, 131, 128, 125, 122? -3*c + 137 What is the m'th term of 85, 14, -47, -92, -115, -110, -71? m**3 - m**2 - 75*m + 160 What is the z'th term of -31, -33, -27, -7, 33, 99, 197? z**3 - 2*z**2 - 3*z - 27 What is the s'th term of -2990, -5971, -8960, -11963, -14986, -18035, -21116, -24235? -s**3 + 2*s**2 - 2980*s - 11 What is the i'th term of -12, -14, -8, 12, 52? i**3 - 2*i**2 - 3*i - 8 What is the k'th term of 16, 61, 122, 193, 268? -k**3 + 14*k**2 + 10*k - 7 What is the w'th term of 97, 101, 113, 139, 185? w**3 - 2*w**2 + 3*w + 95 What is the l'th term of -25, -77, -165, -289, -449, -645? -18*l**2 + 2*l - 9 What is the q'th term of -961, -956, -949, -940, -929? q**2 + 2*q - 964 What is the h'th term of 6, 12, 30, 66, 126, 216, 342? h**3 - h + 6 What is the l'th term of 82, 168, 260, 358? 3*l**2 + 77*l + 2 What is the l'th term of 10, 11, 24, 55, 110, 195? l**3 - 6*l + 15 What is the a'th term of -9, 3, 23, 51, 87, 131, 183? 4*a**2 - 13 What is the k'th term of 39, 143, 345, 669, 1139, 1779, 2613? 4*k**3 + 25*k**2 + k + 9 What is the q'th term of -85, -98, -119, -148, -185, -230? -4*q**2 - q - 80 What is the o'th term of -54, -49, -44? 5*o - 59 What is the c'th term of -258, -528, -808, -1098, -1398, -1708, -2028? -5*c**2 - 255*c + 2 What is the a'th term of -1730, -1745, -1760, -1775? -15*a - 1715 What is the j'th term of -831, -834, -837, -840, -843, -846? -3*j - 828 What is the w'th term of 425, 431, 441, 455, 473, 495, 521? 2*w**2 + 423 What is the m'th term of -5, -12
{ "pile_set_name": "DM Mathematics" }
= 1593 + -4784/3. What is the third biggest value in -1/3, -4, q, -0.08? q Let w = 9.5 + -10. Let f = -2.882 + 2.582. What is the fourth smallest value in f, -2/7, w, 5? 5 Let z = 18 + -18. Let j be 0 + -6 - 552/(-115). What is the fourth biggest value in 4, j, 3/4, z? j Let d = 131.937 + -132. Let w = d - 0.037. What is the second biggest value in -62, w, 2/3? w Let u = 149757/5 - 29951. Which is the smallest value? (a) -0.4 (b) u (c) -5/6 (d) -8/9 (e) 5 d Let c = 8 + -6. Let b = 1.4 + 18.3. Let i = -23.7 + b. What is the second biggest value in c, i, -2/7, -0.4? -2/7 Let t = -47 - -50. Let n = 4.03 + -3.73. What is the fourth smallest value in -2.4, n, 0.4, t? t Let j = -16 + 18. Suppose -33 + j = -o. Suppose 0 = 36*n - o*n - 5. Which is the third biggest value? (a) 1/2 (b) n (c) 11/4 a Let p = 0.3 - -0.7. Suppose 4*j + 4*a + 152 - 176 = 0, 5*a - 10 = 0. What is the third smallest value in p, j, -4? j Let p = -7.3 - -4.8. Let o = p + 2.3. Suppose 4*i = 2*i + 5*n + 4, 4 = 2*i + 5*n. Which is the third smallest value? (a) i (b) o (c) 2/9 a Suppose 31 = -11*s - 2. What is the biggest value in s, -2/17, -11? -2/17 Let x = -0.2195 - 259.1805. Let w = -259 - x. Which is the second biggest value? (a) -3/5 (b) -0.5 (c) w b Let x be (-10)/(-6)*264/(-440). Which is the fourth smallest value? (a) -4 (b) 9 (c) x (d) 2 b Let w be (-87520)/(-7800) - 4/6. Let l = w - 52/5. Let i be -2 - ((-2)/2 + 0). What is the third smallest value in 2/7, l, i, -3? l Let x = -1.94189 + -0.05811. What is the fourth smallest value in 4, 3/7, x, 222, 5? 5 Suppose 5*n = 3*n + 5*f - 14, -2*n = 2*f. Let y = -746/77 + 105/11. Which is the second biggest value? (a) y (b) n (c) 0.5 (d) -3 a Let t = -82.56 - -76. Let s = 45.66 + t. Let k = -37 + s. Which is the third smallest value? (a) 0.2 (b) 2/3 (c) k c Let s = -322593 + 322598. Let u = -0.2 - -1.2. What is the smallest value in 0.04, u, s? 0.04 Let s = -0.18 - 145.82. Let l = s - -146. Which is the smallest value? (a) l (b) 4 (c) -20/9 c Suppose -4*o + o = 3*h + 42, -o + h - 18 = 0. Let z = -280467 + 280467.09. What is the second biggest value in o, -1, z? -1 Let g = 11.7981 - 3.7981. What is the second biggest value in g, -0.2, -16/3, -2/3? -0.2 Let k = -502.24 - -293.83. Let a = -210 - k. Let b = a + -0.41. What is the smallest value in 23, b, 0.1? b Let v = 167051/194852 - 5/27836. Let y(f) = -f + 6. Let h be y(5). Which is the biggest value? (a) 0.4 (b) -2 (c) v (d) h d Let t = 114.7 + -114.3. Which is the fourth smallest value? (a) t (b) -0.5 (c) -3/4 (d) -8 a Let g = -2716 - -2717. Which is the third smallest value? (a) g (b) 0.1 (c) 6 (d) -2/11 a Let z = 10104 - 20199/2. What is the biggest value in z, 32, -2/7? 32 Let o = -369.8 + 369.4. Which is the third smallest value? (a) 1/3 (b) o (c) -8 (d) -26 b Let p be 19/3*(6 + 0). Let y = 707.63 + -707.93. Which is the second smallest value? (a) p (b) 5 (c) y b Let o = -2403 - -2404.727. Let j = o - -0.273. What is the smallest value in -0.5, -72, j? -72 Let v = -18599 - -18598.8. What is the smallest value in -53, 2, v, 0.24, 0.2? -53 Let r(j) = -25*j - 352. Let v be r(-14). Let s = 1.998 - -0.002. Which is the biggest value? (a) -15 (b) 1 (c) v (d) s d Let k = 2.56 + -32.96. Let h = 5.4 + k. Which is the biggest value? (a) -0.4 (b) -5/3 (c) -3/5 (d) h a Let q = 1.1269 - -1.8731. Let s = -33 - -97/3. Which is the biggest value? (a) 1.3 (b) s (c) 0.4 (d) q d Suppose 3*n = t - 2*n - 21, 5*t = 3*n - 5. Let i = 46672 - 46674. What is the biggest value in i, -6, t? i Let m = 0.8101 + -0.7101. Which is the second biggest value? (a) m (b) 277 (c) 0.3 c Let c = -9 - -14. Let i = 13 - c. Let z be (2/13 - (-186)/312)/(-3). What is the third biggest value in 0.5, i, z, 4? 0.5 Let s = 7.5041 + -0.5041. What is the third smallest value in 2/9, -0.1, s, 0? 2/9 Let k = 0.02672 + -0.13472. Which is the second biggest value? (a) -0.5 (b) k (c) 1 b Let h(p) = p**2 - 15*p - 17. Let w be h(16). Suppose -14*o - 56 = -10*o. Let l be (4/o)/((-14)/21). Which is the biggest value? (a) -1/3 (b) l (c) w b Let k = -33 + 6. Let w be 18/(-27) - (-174)/(-63) - 108/(-27). What is the third biggest value in k, w, 3/2? k Let s = 3.105 + -3.235. What is the biggest value in -6, -5, 6, s? 6 Let u(b) = 34*b + 161. Let a be u(-8). Let w be a/168 - 69/(-184). What is the second smallest value in -0.1, w, -31, -2? -2 Let c = 10885.6 + -10886. What is the second smallest value in -0.077, -3, c, -1/3? c Let c = -26 - -75.5. Let b = -19 + c. Let f = b - 31. What is the second biggest value in -3, f, 0? f Let t = -43.91 + 37.91. What is the smallest value in 0.09, t, -0.06? t Let g be (2/(-10))/(-3 - -4). Let k be (-9*(10 - 507/52))/(-3). Let f = 0.1 + 0.9. Which is the second smallest value? (a) f (b) k (c) g b Let x = -4.8 + 0.8. Let q = 82359 + -82359.5. Which is the fourth smallest value? (a) 2 (b) 0.5 (c) q (d) x a Let r = -275.13 - -277.13. Which is the second biggest value? (a) 0.3 (b) -2 (c) -1.99 (d) r (e) -1/6 a Suppose 64*d - 104 = 66*d. Let z be 1/(d/(-8) + -6). What is the fourth biggest value in 3, 0.4, -3, z? -3 Suppose -2*n + 5*n + 6 = 0. Let v be (-4)/(-1342)*(-2790)/36. Let l = -3/61 - v. Which is the third biggest value? (a) -1/4 (b) n (c) l b Let g = -45 - -23. Let d = -200.8 - -223. Let n = g + d. What is the second smallest value in 3, n, 1, -3? n Let v = 52 + -317/6. Let o = -0.3852 + -0.0148. Which is the smallest value? (a) v (b) o (c) 0.15 a Let z be ((-3)/(-18)*2/(-1))/(30/30). Let c = 9/4 - 19/8. Suppose 6*t - 2*t = -4. What is the biggest value in c, 0, t, z? 0 Suppose 28*q - 96 = -180. Which is the third biggest value? (a) q (b) 0.18 (c) -30 c Let v = 3/6161 + 12313/18483. Let p = -0.33 + 0.03. Let m = p - -1.3. What is the third smallest value in -2/9, m, v? m Let k = 352 + -351.849. Let q = k - 0.031. Let a = q - 0.42. What is the second biggest value in 0.1, 3, 2, a? 2 Let p be ((-126)/4)/7 + (-8)/(-7 - 9). What is the biggest value in 19, p, 2/11, 1, 1/5? 19 Let j = 31028/3 - 10343. What is the third smallest value in -1, 56, -0.4, -3, j? -0.4 Let q = 7346 + -852131/116. Let g = 6/29 + q. Which is the third smallest value? (a) -0.001 (b) g (c) 3 c Let w = 2.74047 + 0.25953. Which is the fourth biggest value? (a) 0 (b) -1.2 (c) 1/3 (d) w b Suppose 0 = -g + a - 32, -19*g + 16*g = 4*a + 124. What is the third biggest value in g, 1/2, 3? g Let f = -12.915 - -3.915. What is the smallest value in 3, -0.2, 1, f? f Let i = -6406 - -6404. What is the second biggest value in 9, 2/13, i, 0.61? 0.61 Let n(d) = -2*d - 1. Let b be n(1). Let f be ((-395)/(-3555))/((-4)/(-2)). What is the smallest value in 0.3, f, 0.2, b? b Let b = -0.15 - -0.13. Let r = 0.03159 + -5.03159. What is the third biggest value in 3/5, b, r, 1/4? b Let v be ((-48)/10 - -5)*-5. Let g be 3/(-108)*3*-3. Which is the second biggest value? (a) -0.3 (b) g (c) v (d) 0.3 b Let z = -844 + 847. Let l = 10.03 - 0.03. Let q = l - 9. Which is the biggest value? (a) q (b) 5 (c) z b Let d be 8/2 + (-1)/(-1). Suppose 57 = -d*j - 3*p, 7 = -j - 3*p - 2. Let s = -15 + 14.9. Which is the smallest value? (a) -5 (b) s (c) j c Suppose 340 - 175 - 195 = -6*x. What is the smallest value in 0.5, 273, 1/11, x? 1/11 Let m = 0.05182 - -0.14818. What is the second smallest value in 0.3, -0.2, -3, -1/69, m? -0.2 Let y = -765 - -713. Let i be 4/(-7) + (-4)/y*0. What is the smallest value in 2/3, -4, 0.2, i? -4 Let h = 3 - 5.68. Let x = h - -2.78. Let o be 0/(-3) - 2/(-8). Which is the second biggest value? (a) -29 (b) o (c) x c Let y = 15569/4 - 3892. Let g = 0 + -6. Let w be (-1)/(-4) + (-15)/(-4). Which is the third smallest value? (a) -4 (b) g (c) y (d) w c Suppose 2*w + 3*w + 6 = -2*d, w - 6 = 2*d. Let k = -30430 + 30429.99. What is the second biggest value in 0.3, w, k, -2? w Let z = 18.77 + -18.67. Which is the smallest value? (a) 0.026 (b) 1/2 (c) z (d) 3 a Let p = -41 + 74. Let a = 43 - p. Let m = a - 10.1. What is the second smallest value in 3/8, 2/7, -20, m? m Suppose 3*z - 160 = 2*o + 263, -o - 189 = 3*z. Let m = o - -209. Which is the third smallest value? (a) -2/5 (b) -1/5 (c) m (d) -2 b Let g = -12580 + 8315382/661
{ "pile_set_name": "DM Mathematics" }
= -99*c + 2240 for c. -35 Solve 472*x + 10640 = -1632 for x. -26 Solve -1 = -6*i - 2*i + 15 for i. 2 Solve -32*i + 13*i = -10 - 9 for i. 1 Solve -39*b + 31*b = 66*b + 592 for b. -8 Solve -28*l - 45 + 65 = 48 for l. -1 Solve 0 = 12*v + 3564 - 3444 for v. -10 Solve 23*q + 85 = 39 for q. -2 Solve -248*f - 778*f + 106*f + 10120 = 0 for f. 11 Solve -234*n + 451*n + 299 = 230*n for n. 23 Solve -38*i - 49*i - 12*i - 1683 = 0 for i. -17 Solve -18525 = -689*r + 1924*r for r. -15 Solve 12*k - 39*k - 44 = 37 for k. -3 Solve 10*u - 499 = 43*u + 128 for u. -19 Solve 21*j = -1202 + 1391 for j. 9 Solve 505*r - 526*r = -315 for r. 15 Solve -323 - 842 = 109*u + 34 for u. -11 Solve 86*h - 40*h - 1334 = 0 for h. 29 Solve -1274*p = -1299*p + 250 for p. 10 Solve -489 = 166*l - 3*l for l. -3 Solve 0 = -26*q + 873 - 249 for q. 24 Solve 16*h + 56*h = -648 for h. -9 Solve 70*i - 417*i = 694 for i. -2 Solve 41 + 10 = 8*s - 5 for s. 7 Solve 190 + 228 = -43*s - 55 for s. -11 Solve 52*b + 104 = -18*b - 34*b for b. -1 Solve -86*d + 108*d + 171 = 17 for d. -7 Solve -358*h + 392*h + 1277 - 461 = 0 for h. -24 Solve -46*n + 65*n = 34*n + 30 for n. -2 Solve 63704*s = 63595*s for s. 0 Solve 0 = -258*c + 818 + 533 + 2519 for c. 15 Solve 381*u = 418*u - 37 for u. 1 Solve -202*d + 42 = -198*d - 66 for d. 27 Solve -1876 = 51*n + 83*n for n. -14 Solve q - 917 + 1851 = 921 for q. -13 Solve 80*r + 942 = -837 + 899 for r. -11 Solve 39*n - 11*n + 119 = 11*n for n. -7 Solve -59*j = -269 - 117 - 86 for j. 8 Solve 69*i = -80*i - 149 for i. -1 Solve 610 = 16*a + 786 for a. -11 Solve -18*q + 24*q - 84 = -0*q for q. 14 Solve 162 = -66*b + 84*b for b. 9 Solve 93*z - 1996 = -415 for z. 17 Solve -434*j = 1446 + 8536 for j. -23 Solve -1701 = -774*u + 837*u for u. -27 Solve -43*v + 1386 = 15*v - 135*v for v. -18 Solve -11*z - 8*z + 259 + 45 = 0 for z. 16 Solve 255 = -288*f + 70*f - 1489 for f. -8 Solve 60*r + 29 = -91 for r. -2 Solve 164*l + 37*l - 1617 = -30*l for l. 7 Solve 366*j + 155 = -6433 for j. -18 Solve 641*c - 653*c = -60 for c. 5 Solve 0 = -22*m + 7*m + 1064 - 1034 for m. 2 Solve 10*y - 24*y - 576 = 18*y for y. -18 Solve 5*w - 1820 = -20*w - 157*w for w. 10 Solve -67*g - 181 = 180 + 108 for g. -7 Solve 548*z + 549*z + 3 = 1096*z for z. -3 Solve -49*t + 61*t - 12 = -120 for t. -9 Solve -20*v + 47906 - 48006 = 0 for v. -5 Solve 372*w + 4998 = 610*w for w. 21 Solve 70*c - 13 = -433 for c. -6 Solve -6031 - 884 - 1635 = -450*x for x. 19 Solve -228*r + 17627 = 806*r - 16495 for r. 33 Solve -17023 + 3685 = 100*d + 602*d for d. -19 Solve 2014*a = 2034*a + 180 for a. -9 Solve -219*j + 118*j + 111*j = 100 for j. 10 Solve -78*j - 5423 = -204*j - 61*j for j. 29 Solve 645*o - 602*o = 221 + 295 for o. 12 Solve -3089 = -305*s + 266 for s. 11 Solve 192*t = 52*t + 4620 for t. 33 Solve -85*u - 358 - 211 = -144 for u. -5 Solve 259*b = -36*b + 6195 for b. 21 Solve -46*s - 2*s - 2449 = 31*s for s. -31 Solve l = -29*l + 196 + 284 for l. 16 Solve 330*v = 72*v - 7482 for v. -29 Solve -42*p - 126*p - 124*p = -3796 for p. 13 Solve -518*j + 490*j - 252 = 0 for j. -9 Solve -19*q + 247 = -0*q - 342 for q. 31 Solve 36*t = 110*t + 2387 - 241 for t. -29 Solve -22 = 119*w + 216 for w. -2 Solve 40*n - 165 = 4*n + 21*n for n. 11 Solve -182*p = -1252 + 3254 for p. -11 Solve -4620 = 187*z + 7*z - 62*z for z. -35 Solve 1840 = 1014*h - 1129*h for h. -16 Solve 9 - 51 = -0*t + 6*t for t. -7 Solve 175 = 5996*d - 5961*d for d. 5 Solve -198*t - 1280 = -134*t for t. -20 Solve 0 = 326*f - 206*f + 593 + 1447 for f. -17 Solve -12*v - 56 = -2*v - 206 for v. 15 Solve 218*i + 2269 + 653 = 524 for i. -11 Solve -225*k + 42*k - 2118 = 627 for k. -15 Solve -217136 + 217116 = 5*q for q. -4 Solve 14*g + 100 = 5*g - 11*g for g. -5 Solve 277 = -66*b - 185 for b. -7 Solve 47*h - 283 = 281 for h. 12 Solve 874 = -3*o + 889 for o. 5 Solve 20*i + 291 + 69 = 2*i for i. -20 Solve 15*k - 9*k = -22*k - 84 for k. -3 Solve 11*g = -11 - 8 + 8 for g. -1 Solve -43*x - 13056 + 12927 = 0 for x. -3 Solve -168 - 189 = 23*t - 58 for t. -13 Solve -17 = 9*o + 3 + 16 for o. -4 Solve -248926*z + 248987*z - 1098 = 0 for z. 18 Solve -21 = -48*b - 411 - 474 for b. -18 Solve 297*z - 288*z - 16 - 20 = 0 for z. 4 Solve 168 = -17*p - 56*p - 11*p for p. -2 Solve -638*c + 2543 - 4995 = 11584 for c. -22 Solve -971 = 199*d - 175 for d. -4 Solve -102*v = -202*v + 109*v - 36 for v. 4 Solve -516 + 152 = -10*q + 38*q for q. -13 Solve -31*a + 3089 = 3523 for a. -14 Solve -48 = -5999*p + 6003*p for p. -12 Solve 24*n - 53*n - 141 = 112*n for n. -1 Solve 0 = 232*j - 276*j + 924 for j. 21 Solve 196*v + 49 - 125 - 120 = 0 for v. 1 Solve 90*z - 927 = 409*z + 987 for z. -6 Solve 8*d + 40*d = -27*d + 1200 for d. 16 Solve 68*x - 25*x = 624 + 21 for x. 15 Solve 6*r + 344 = -18*r + 56 for r. -12 Solve 0 = -162*c + 88*c + 518 for c. 7 Solve -12*b - 15883 = -16027 for b. 12 Solve 0 = 620*h - 306*h - 311*h - 15 for h. 5 Solve 0 = 1094*t - 1097*t + 18 for t. 6 Solve -388*w + 306*w = -902 for w. 11 Solve -3*h + 80 = 26*h - 19*h for h. 8 Solve 556 = -688*y + 132*y for y. -1 Solve -3*d - 11 = 10 - 12 for d. -3 Solve 837 - 957 = c - 7*c for c. 20 Solve -4*q = -14*q - 2*q - 12 for q. -1 Solve -217*d = -53*d + 4 - 168 for d. 1 Solve 583 = -34*y - 24*y + 5*y for y. -11 Solve -37*s + 1020 = -9*s + 32*s for s. 17 Solve 34*i + 14*i = 26*i + 440 for i. 20 Solve 51*z - 84 = -3*z - 840 for z. -14 Solve -10658*h + 78 = -10661*h for h. -26 Solve -1 = 4481*u - 4480*u for u. -1 Solve 13*u + 34*u = -94 for u. -2 Solve 63698*u - 63742*u = -572 for u. 13 Solve -135 + 1254 = -373*w for w. -3 Solve 114 = -8913*z + 8894*z for z. -6 Solve 3189*s = 3154*s - 665 for s. -19 Solve -130 = 17*a + 6*a + 3*a for a. -5 Solve 560 - 9704 = -254*w for w. 36 Solve 51*b - 77 + 230 = 0 for b. -3 Solve 392*a = 580*a + 1880 for a. -10 Solve 36*t + 23 - 30 + 7 = 0 for t. 0 Solve 76*y + 1936 = 252*y for y. 11 Solve 0 = 411*j - 3390 - 4008 for j. 18 Solve 174*f + 173*f = 366*f + 57 for f. -3 Solve -146 = -63*g - 351 - 362 for g. -9 Solve 67*x - 576 = -80*x + 129*x for x. 32 Solve -355*f - 263 + 708 = -265 for f. 2 Solve 28*n - 34*n - 37*n = -215 for n. 5 Solve -1028*l + 1351 + 17099 = -413*l for l. 30 Solve -11*j = 46 - 354 for j. 28 Solve 39*t + 103 = -24*t - 23 for t. -2 Solve -2*n + 114 - 104 = 0 for n. 5 Solve 21*v + 522 = 50*v for v. 18 Solve 0 = -3872*d + 3701*d + 1368 for d. 8 Solve -554*q + 5 = -547*q + 5 for q. 0 Solve -367*c - 1130 = 198*c for c. -2 Solve -191*f = -612 - 725 for f. 7 Solve 19*n + 146 = 92*n for n. 2 Solve 40*o - 98*o = 10 + 48 for o. -1 Solve 91*f + f = -552 for f. -6 Solve -23*p - 13*p = -22*p + 56 for p. -4 Solve -121*s - 150 - 334 = 0 for s. -4 Solve 230*t - 123 = 107 for t. 1 Solve 112 - 13804 = -463*k - 26*k for k. 28 Solve -483 = 86*f + 255 - 136 for f. -7 Solve -93698 + 93568 = -10*a for a. 13 Solve 102 + 24 = 172*b - 163*b for b. 14 Solve -9*a = 16587 - 16623 for a. 4 Solve 804 + 236 = 65*z for z. 16 Solve 1188 = -1654*i + 1610*i for i. -27 Solve 39*f - 852 = -45*f + 72 for f. 11 Solve 0 = 105*n + 1175*n + 16*n - 10368 for n. 8 Solve -45*s + 296 - 88 + 197 = 0 for s. 9 Solve -12*d = 32 - 8 for d. -2 Solve 9*m - 7*m + 15*m = -204 for m. -12 Solve 150*x + 122 + 380 = -98 for x. -4 Solve -985*b = -945*b + 30 + 210 for b. -6 Solve -20*n = -55*n - 11*n + 690 for n. 15 Solve 96*o + 11*o + 3708 = -99*o for o. -18 Solve 195*k - 1196 - 1534 = 0 for k. 14 Solve 134*g + 100*g = -4680 for g. -20 Solve 0 = -27*v - 521 + 278 for v. -9 Solve 151*q + 166*q = -8242 for q. -26 Solve -61*x = 402 + 513 for x. -15 Solve 53*v + 198 = 86*v for v. 6 Solve 171 = -79*u - 1330 for u. -19 Solve 0 = 79345*r - 79572*r - 4994 for r. -22 Solve 4 + 6 - 3 = -7*f for f. -1 Solve 32*x + 85 + 195 + 104 = 0 for x. -12 Solve -43*o + 70*o = 45*o + 342 for o. -19 Solve 0 = -2370*v + 2876*v + 1012 for v. -2 Solve 0 = 14994*b - 14966*b + 476 for b. -17 Solve 0 = -12*c - 15*c + 2242 - 2107 for c. 5 Solve -46*t - 604*t + 5841 = -t for t. 9 Solve -90*w + 733 - 193 = 0 for w. 6 Solve 48*z + 214 - 312 - 430 = 0 for z. 11 Solve 53*y = 34*y + 19 - 304 for y. -15 Solve -2243 + 1123 = -80*d for d. 14 Solve -32*t = -59*t + 270 for t. 10 Solve -266*t + 4681 = -417*t for t. -31 Solve -27*y - 100 = 68*y - 45*y for y. -2 Solve 40*a = 31 - 9 - 22 for a. 0 Sol
{ "pile_set_name": "DM Mathematics" }
828 Divide -15364 by 46. -334 What is -192000 divided by 60? -3200 3 divided by 159188 3/159188 Calculate 2655 divided by 24. 885/8 Calculate -41600 divided by -3200. 13 -3303300 divided by 2 -1651650 Calculate -20480 divided by -1280. 16 What is 98056 divided by 4? 24514 Divide 2 by -680. -1/340 Calculate 71280 divided by 1620. 44 What is -23545 divided by 277? -85 5014 divided by -1 -5014 What is 2 divided by 7430? 1/3715 What is -6 divided by 6314? -3/3157 -4 divided by -11688 1/2922 -507507 divided by -3 169169 Divide -2463850 by -492770. 5 What is -118979 divided by 3? -118979/3 What is 51022 divided by 2? 25511 What is -9 divided by -111493? 9/111493 What is -25398 divided by -153? 166 Divide -50040 by -60. 834 What is -6969 divided by -1? 6969 Divide -396 by -27. 44/3 What is -53093 divided by -5? 53093/5 -165600 divided by 4 -41400 Calculate -90 divided by -18. 5 Calculate 197 divided by -1231. -197/1231 8351 divided by -46 -8351/46 1700520 divided by -1149 -1480 What is 5 divided by -4453? -5/4453 Divide 11880 by -25. -2376/5 1372090 divided by -274418 -5 What is -83876 divided by 13? -6452 8091360 divided by 2 4045680 Calculate -37718 divided by -3. 37718/3 Calculate -216945 divided by -43389. 5 -224 divided by -1175 224/1175 Divide 7591 by 43. 7591/43 Divide 0 by 365. 0 What is 1 divided by 114214? 1/114214 Calculate -58663 divided by 1. -58663 What is 928122 divided by -163? -5694 -5704872 divided by 6 -950812 Calculate -870 divided by 71. -870/71 Divide -4 by 14539. -4/14539 Divide -259246 by 2. -129623 277880 divided by 138940 2 What is -29100 divided by -297? 9700/99 What is -6 divided by 5420? -3/2710 Calculate -2673790 divided by -35. 76394 -54975 divided by -733 75 Divide 2 by -529814. -1/264907 -345 divided by 194 -345/194 Calculate -2 divided by -33585. 2/33585 Divide 308388 by -9948. -31 Divide 2 by -10879. -2/10879 -1 divided by 18580 -1/18580 What is -336560 divided by -168280? 2 Calculate -2601180 divided by -45. 57804 19433 divided by 1 19433 Calculate -4 divided by 10426. -2/5213 What is 1828 divided by 7? 1828/7 Divide -276850 by -98. 2825 1 divided by 189628 1/189628 886338 divided by 147723 6 -1830 divided by -19 1830/19 54816 divided by -13704 -4 What is 26472 divided by -13236? -2 What is 84651 divided by -21? -4031 Calculate -774 divided by 96. -129/16 Calculate 1190 divided by 2. 595 Calculate -33 divided by 133. -33/133 17704 divided by -9 -17704/9 Divide -2876910 by 958970. -3 Calculate 35147 divided by -23. -35147/23 Divide -4576432 by 4. -1144108 -440657 divided by 391 -1127 Calculate 16 divided by -14725. -16/14725 Divide 269982 by -9. -29998 Divide -579 by -11. 579/11 Calculate 75915 divided by -9. -8435 Calculate -374192 divided by 187096. -2 What is 137481 divided by -45827? -3 Divide -191 by -23293. 191/23293 -5 divided by 48434 -5/48434 -131100 divided by -32775 4 Divide -49060 by -12265. 4 Calculate -9354 divided by -2. 4677 -3347 divided by 2 -3347/2 Divide -25668 by 4278. -6 Divide 11210 by -2242. -5 Divide 1 by 9420. 1/9420 Calculate 4 divided by 801737. 4/801737 What is -1130972 divided by -565486? 2 What is 7 divided by 13295? 7/13295 Calculate -55168 divided by -1724. 32 What is -2038525 divided by 27925? -73 Calculate -1224 divided by 6. -204 What is 3741 divided by -57? -1247/19 -4 divided by 307881 -4/307881 17 divided by -1020 -1/60 -57 divided by -445 57/445 -16861 divided by 1 -16861 What is -456702 divided by -3? 152234 Calculate 14934 divided by -262. -57 Divide 61 by -28501. -61/28501 Divide -1112736 by 11591. -96 Divide -234064 by -58516. 4 Calculate 0 divided by -337. 0 Divide 49490 by -9898. -5 Divide 1352 by 375. 1352/375 Calculate 3569427 divided by 3. 1189809 What is 665 divided by -4444? -665/4444 Calculate 0 divided by 9962. 0 1 divided by -2762 -1/2762 Calculate 712323 divided by -712323. -1 Calculate -144 divided by 54. -8/3 Calculate 0 divided by 49553. 0 Divide 9640 by 964. 10 3766 divided by 2 1883 -1131 divided by 6 -377/2 What is 745255 divided by -7? -106465 What is -139512 divided by 2? -69756 Divide -131 by 147. -131/147 Divide -4 by 363752. -1/90938 -15547 divided by -17 15547/17 What is -9510 divided by 317? -30 Divide -59820 by 5. -11964 Calculate 1 divided by -4984. -1/4984 2455728 divided by -111624 -22 Divide -15134 by 22. -7567/11 What is 327540 divided by -412? -795 What is 196084 divided by 7? 28012 What is -185997 divided by -185997? 1 2 divided by 458203 2/458203 Divide -7608718 by -26. 292643 What is 5 divided by 195750? 1/39150 What is 1368046 divided by -6641? -206 Calculate -263040 divided by 6. -43840 Divide -4 by 14061. -4/14061 Divide 5 by 107756. 5/107756 Calculate 158625 divided by 1. 158625 Divide 4785408 by 598176. 8 Divide -60 by 1. -60 Divide -12 by 27354. -2/4559 Calculate -143060 divided by -23. 6220 What is 3 divided by -268083? -1/89361 -3522366 divided by 11511 -306 What is 21752 divided by 5438? 4 What is 3 divided by 4922? 3/4922 Divide 0 by -601720. 0 Calculate 552692 divided by -4. -138173 Calculate 10 divided by -37956. -5/18978 -58780 divided by -11756 5 -486318 divided by 42 -11579 What is 628 divided by 739? 628/739 -21363 divided by -7121 3 Calculate 30064 divided by -2. -15032 What is -258 divided by -674? 129/337 Calculate 1451631 divided by -3. -483877 What is -48376 divided by -4? 12094 Divide -151560 by 72. -2105 Divide -1316 by 82. -658/41 Divide 1 by -17033. -1/17033 21838 divided by 102 10919/51 What is -318 divided by -2186? 159/1093 Divide 765256 by -2. -382628 183362 divided by 17 10786 Calculate 142 divided by 137. 142/137 Divide 1263 by -962. -1263/962 What is 67074 divided by 6? 11179 6829 divided by 2 6829/2 What is -375 divided by 1738? -375/1738 8960 divided by 1 8960 Divide -1 by -14957. 1/14957 What is 29604 divided by 1? 29604 Calculate 966415 divided by 6. 966415/6 What is -1127630 divided by -6335? 178 Divide 803735 by 23. 34945 11950 divided by 2 5975 Calculate -436 divided by -346. 218/173 21879 divided by -17 -1287 What is 3550756 divided by -34? -104434 What is 193857 divided by -10203? -19 What is 54 divided by 4323? 18/1441 What is -43 divided by -1038? 43/1038 Calculate -1 divided by 896. -1/896 Divide -24720 by 1030. -24 Calculate 22574 divided by 22574. 1 Divide -571956 by -4. 142989 What is -86 divided by 13? -86/13 What is -4 divided by 580930? -2/290465 Calculate -5 divided by -1487. 5/1487 86616 divided by -24 -3609 Divide -2934256 by -5. 2934256/5 What is 5 divided by 181051? 5/181051 Divide 12 by 180633. 4/60211 Calculate -46284 divided by 7. -6612 What is 3 divided by -15015? -1/5005 4 divided by -137154 -2/68577 Divide 3 by -373702. -3/373702 Calculate 157603 divided by 1. 157603 Divide 660902 by -4. -330451/2 Divide -46025 by -5. 9205 Calculate 102816 divided by 14688. 7 Calculate 3 divided by 19697. 3/19697 Calculate 52928 divided by 2. 26464 -451 divided by 68 -451/68 -7962 divided by -89 7962/89 Divide 2 by 89944. 1/44972 Calculate 1741 divided by -119. -1741/119 118508 divided by 9116 13 -404164 divided by -1 404164 What is 14 divided by -98111? -14/98111 Calculate 1032 divided by 77. 1032/77 1182038 divided by -45463 -26 Calculate -872496 divided by 109062. -8 Calculate -309 divided by -7. 309/7 What is -193320 divided by 19332? -10 1280 divided by 4 320 What is 270 divided by 136? 135/68 Calculate 22120 divided by 10. 2212 4253 divided by 1 4253 62378 divided by 1 62378 -52500 divided by 5 -10500 Calculate -4 divided by 27801. -4/27801 76409 divided by -701 -109 Divide 77 by -28. -11/4 106 divided by -2901 -106/2901 Divide -1602 by -61. 1602/61 Divide 202895 by -18445. -11 Divide 580000 by -4640. -125 36 divided by 40036 9/10009 Divide -437682 by 437682. -1 What is -5527 divided by -229? 5527/229 What is 24036 divided by -3? -8012 Divide -526127 by 6. -526127/6 What is -1181000 divided by 9448? -125 Divide 1120428 by 93369. 12 What is -7042 divided by 503? -14 -304014 divided by 3 -101338 12095 divided by -5 -2419 Divide -7024560 by -6. 1170760 -4 divided by -240409 4/240409 Calculate 813 divided by 19. 813/19 2 divided by 1911 2/1911 Divide -7 by 117035. -7/117035 Calculate 160998 divided by -80499. -2 What is -431586 divided by -47954? 9 -15 divided by -2059 15/2059 Calculate 13
{ "pile_set_name": "DM Mathematics" }
Let g be h(11). Suppose g*n - a = n. Solve -n = -5*x + 4 for x. 1 Suppose s = 3*a - 4, -s - 1 + 2 = 2*a. Let w be (-21)/(-2) + s/2. Solve m = 3*m + w for m. -5 Let u = -20 + 39. Suppose u + 9 = 5*o - 2*p, -3*p + 33 = 5*o. Solve -9 = 5*c + o for c. -3 Let l = -4 - -9. Suppose -l*v + 4*v - 3*y - 5 = 0, 3*v = -4*y. Solve 4*q + 16 = -v for q. -5 Let l(y) = -5*y**3 + y**2 - 3*y + 1. Let w(a) = -a**3 - a + 1. Let b(m) = -l(m) + 4*w(m). Let o be b(0). Solve o*u = 4*u + 2 for u. -2 Suppose 0 = -4*o + o + 42. Let d = o - 5. Solve -3*h - d = -0*h for h. -3 Suppose 3*r + 5*b - 29 = 0, -r = -4*r - b + 13. Solve -r*u - 8 = -u for u. -4 Suppose 0 = -2*f + x + x + 28, -5*f - 4*x = -43. Let p(n) = -n**3 + 6*n**2 + 2*n - 8. Let d be p(6). Suppose d*g = 39 - f. Solve -3 - g = -2*k for k. 5 Let p = 10 - 6. Let u be -1 - (2 + -3)*p. Suppose 0*a = 3*a - u. Solve -3*o + 2*o + a = 0 for o. 1 Let m = 9 + -6. Solve -f - 4 = -m for f. -1 Let f = -1 - -7. Suppose -6 = -3*g + f. Solve -g*d - 2 = -6 for d. 1 Let b be (1 - 0)*(-3)/1. Suppose -3*i - 31 = -1. Let j = b - i. Solve -3*u + j = -8 for u. 5 Let c(g) = 2*g + 12. Let y be c(-3). Solve -y*r + 7*r - 3 = 0 for r. 3 Let u = 6 + -6. Suppose -x + u*x + 1 = 0. Solve h + 2 = -x for h. -3 Let u(a) = -a - 3. Let i be u(-13). Suppose -12 = -m - i. Solve -m*j + 0*j = 10 for j. -5 Let l be (3/5)/((-2)/(-10)). Suppose 5*r = l*r. Solve -3*j + 6 + 0 = r for j. 2 Let y be (-30)/180 - (-14)/12. Solve -y = -4*f + 3 for f. 1 Let n(g) = g**3 - 2*g**2 + g - 3. Let i be n(3). Suppose 4*m + 1 = -3. Let v = m + 4. Solve -v*k = -0 + i for k. -3 Let q = 2 + 0. Suppose 0*d = q*d - 20. Solve -3*u + 1 = d for u. -3 Suppose 4*w - 3*l + 5*l + 30 = 0, 0 = -2*w + 5*l - 21. Let p be (-3)/2*w/12. Solve -1 = d + p for d. -2 Suppose -1 = -3*k + 2*g, 2 = -2*k + 4*k - g. Let f be -1 + 5 - (1 + 0). Solve k*l - f - 3 = 0 for l. 2 Let q be 0 - (-2 + -3)/1. Suppose -m + 4*o = 18, 3*o = m + 13 + 1. Let v = m + q. Solve 12 + 3 = v*t for t. 5 Let j(b) be the third derivative of b**5/10 + b**4/12 - b**3/3 - b**2. Let w be j(1). Solve -l = 3 - w for l. 3 Suppose 2*r = -4*h + 16, 4*h + 0*r - 3*r - 26 = 0. Suppose h = j - g + 3, 0 = -4*g + 8. Solve -16 = -j*y - 0*y for y. 4 Let s(a) = 7*a**3 - 2*a**2 + 1. Let u be s(1). Suppose 0 = u*v - 5*v - 7. Let q = 0 + 2. Solve -q*b = -v*b + 20 for b. 4 Suppose -5*g - 9 - 14 = -3*w, 2*g = -2. Let m(a) = a - 3. Let t be m(w). Solve t*v + 3 = 6 for v. 1 Let a be (1 - 1)/(5 + -3). Suppose -d - 2*j - 3 = 8, -d - 12 = 3*j. Let q be (-3 - a)*12/d. Solve n + 9 = q*n for n. 3 Suppose -3*q - 4*w = 2, -5*w = -10*w - 10. Suppose s - q = -8. Let p be ((-8)/s)/(3/36). Solve 0 = -3*g - g - p for g. -4 Let r(i) = i**3 + 2*i**2 + 1. Let h be r(-2). Suppose 2*y = -2*g - h - 1, -5*g - 29 = -3*y. Suppose 3*a - y = -0. Solve -a = -z - 2 for z. -1 Suppose 0 = 6*l - 6 - 6. Solve l*b + 15 = 5*b for b. 5 Suppose 3*d - x + 2*x - 22 = 0, -4*d + 29 = x. Suppose 0*m - 3*m + 37 = 5*c, m + 2*c = 14. Suppose -m*u = -u - 15. Solve u*q - d - 8 = 0 for q. 3 Suppose 5*r = -9 + 34. Solve r*n - 29 = -9 for n. 4 Let i(w) = w**2 - 6*w + 6. Let a be i(5). Let x = a + -1. Suppose t - 2*t = x. Solve k - 1 - 4 = t for k. 5 Let t = -5 + 11. Suppose -4*z + 0*m - m + 14 = 0, -4*m + 8 = 0. Suppose -z*d + t = -0*d. Solve 2*b + d - 6 = 0 for b. 2 Let f be 0/(4/4) + -8. Let p = 10 + f. Solve 0 = -4*c + p*c - 8 for c. -4 Let z be (-2)/(1/5*2). Let f = 7 + z. Let k = f + 0. Solve 0 = -k*y - y - 9 for y. -3 Let b = 154 - 152. Solve -10 = -0*d + b*d for d. -5 Suppose 3*k + 5*i = -4, 2*k = -4*i - i - 1. Let a be 2 - (3 + -4 - k). Solve a = 2*z - 1 - 7 for z. 4 Suppose -25 = 5*l + 3*c, -2*l = l - 4*c + 15. Let g = l + 9. Solve g*v + v = 10 for v. 2 Let l(x) = -x - 3. Let j be l(-3). Let f = -6 + 8. Suppose 0 = -2*b - t - 5, 3*b - f*t - 12 = -2. Solve r + b*r - 4 = j for r. 4 Suppose -3*n + 2 = -7. Suppose n + 7 = -2*a. Let u = -5 - a. Solve 5*d - 2*d - 3 = u for d. 1 Suppose -3 + 4 = 3*k - v, 0 = 2*k - 2*v + 2. Solve -2*d + k = 3 for d. -1 Let h(b) = -b + 10. Let q(j) = 1. Let d(t) = -h(t) + 3*q(t). Let s be d(8). Let i = 7 - s. Solve i = -2*g - g for g. -2 Let v = -7 + 10. Let q = v + 2. Let z be ((-18)/3)/(-2) + -1. Solve 0 = z*x + 1 + q for x. -3 Let n = 4 - 20. Let y be 1 + -1 + n/(-4). Solve 0 = -4*s - 0 - y for s. -1 Let v be (-6)/10 + (-468)/(-30). Solve 4*n - 5 = v for n. 5 Let r be 0*(-3*2/9)/(-2). Let x be 2*(-6)/(-4) - -2. Suppose -x*l + m = -14, 3*l - 8*m = -3*m + 26. Solve -l*f - 6 + 2 = r for f. -2 Suppose 4 = 2*s - 3*r - 14, 0 = 5*s + 3*r - 66. Suppose -4*j = 5*v, -s - 7 = -3*j + v. Solve w - 8 = j*w for w. -2 Let m(a) = -a**2 - a**2 + 3 - 1 - a + a**3. Let c be m(2). Solve c*h = -h - 3 for h. -3 Let v be (9/(-12))/(12/(-112)). Solve -4*t = -v*t for t. 0 Let b be 3 - (-14)/(-5) - 95/(-25). Suppose 3*s = -5*g + 65, -2*s = -2*g - 3*g - 10. Solve -b*o = -o - s for o. 5 Let z = 2 - 0. Suppose -3*u + z + 10 = 0. Suppose 2*m + 4 = u*m. Solve 0 = -6*y + m*y - 8 for y. -2 Suppose 0 = g + 4*k - 58 + 8, -4*g = -3*k - 200. Suppose -g = -5*h + 35. Solve -5*x = -8 - h for x. 5 Let x = 7 + 1. Let w = -7 + x. Suppose 2*u = 5*o + w, 0 = 3*u + o - 12 - 15. Solve u = l - 5*l for l. -2 Suppose -29 = -4*l + 3*s, 3*s - 47 = -5*l - 4. Let d = -8 + l. Let f = 4 + d. Solve c = 2*c - f for c. 4 Suppose 0*q = -2*q + 4. Suppose -q*c + 18 = 5*m, 2*m + c = 5*m - 13. Solve 4 = m*f - 8 for f. 3 Suppose 5*o - 5*x + 5 = 0, x - 3 = -0*x. Suppose 3*a + 2*m = 2, -2 = -a + o*a - 2*m. Solve -j + a*j = 0 for j. 0 Let t = -39 + 39. Solve 4*w + t*w = 20 for w. 5 Let z = 8 - 6. Solve z = m + 1 for m. 1 Let a(u) = u + 1. Let j be a(5). Let d be (-2)/(j/(-3)) - -15. Suppose -122 = -5*y + x, y + 4*x = d + 21. Solve -k + 6*k + y = 0 for k. -5 Let m be ((-4)/6)/((-1)/3). Let x(s) = -s**2 - s + 1. Let z(y) = y**2 + 5*y - 3. Let c(j) = -3*x(j) - z(j). Let r be c(m). Solve r*l = -l for l. 0 Let y(k) = -5*k + 21. Let g(w) = -w + 5. Let q(n) = 9*g(n) - 2*y(n). Let b be q(-1). Solve c = b*c - 4 for c. 4 Let t(y) = -y**2 + 8*y + 1. Let v be t(8). Let w = -13 - -18. Let r be 32/6 + 10/15. Solve r = -w*h + v for h. -1 Let y be 1/(-3)*18/(-2). Suppose y*a = 4*a. Suppose 2*o + a = 10. Solve o*n - 4 = -24 for n. -4 Let l be (0*6/(-24))/1. Solve l*h = -4*h for h. 0 Suppose 3 = -4*c + 19. Let d = -29 - -32. Solve 1 = c*z - d for z. 1 Let r = -11 + 6. Suppose 0 = -f + 5*g + 22, 0 = -2*f - g + 3 - 14. Let d = f - r. Solve 0 = d*j + j + 12 for j. -4 Suppose -3*o = 3*i - 15, -5*i - o = -10*i - 5. Suppose -k = -i*k - 4. Let h(s) = s**2 - 3*s + 1. Let j be h(4). Solve -k = d - j*d for d. 1 Let l(g) = g**3 - 5*g - 6. Let t be l(3). Solve j - 1 = -t for j. -5 Let l be (-30)/(-45) - 32/(-6). Let v = 8 + -4. Let m = l - v. Solve -1 = m*r - 3 for r. 1 Let g be 6 + 10/2 + -2. Suppose -3*q - 3 = -g. Solve p = q*p + 4 for p. -4 Let u be (-2)/(-7) + 2/(-7). Suppose u = 2*a - 0*a - 16. Solve 2*o = 4*o + a for o. -4 Suppose -2*i + 3*i = -r + 11, -3*i = 5*r - 35. Solve 2*y - i = -0*y for y. 5 Let b = -1 - -3. Let g be (30/(-8))/((-6)/16). Let j(c) = c**2 - 11*c + 3. Let p be j(11). Solve -b*l + g = p*l for l. 2 Let b = -29 + 44. Let u be (-24)/b - 2/5. Let l be 2/(-2)*u + 0. Solve l*f - 25 = -3*f for f. 5 Let q(i) = -6*i - 6. Let a be q(-4). Let p = -1 + a. Solve p = -4*k + 5 for k. -3 Let x(i) = -7*i + 2. Suppose 5 = o - 4*f, 6*o = o - 4*f - 47. Let u(n) = 10*n - 3. Let j(t) = o*x(t) - 5*u(t). Let d be j(1). Solve 4*l - 2 + 6 = d for l. -1 Suppose 0 = -5*s + 8*s - 12. Solve 2*q = s*q + 2 for q. -1 Let o(k) = k**2 - 3*k + 3. Let j be o(4). Let p = j + -1. Solve -z - p = z for z. -3 Suppose -4*p = -x - 22, 4*x - 4 + 8 = 2*p. Solve p*q - 10*q = -4 for q. 1 Suppose 3*j - 4*j = -3. Let x be 0 - -1 - 5/5. Let y be 2/(-6) - (-14)/6. Solve x = -y*h - j*h + 20 for h. 4 Let b = -5 + 7. Suppose 12 = 3*x - 0*x. Solve -x*c + b = -2*c for c. 1 Let m = -123 + 143. Solve 4*k - m = -k for k. 4 Suppose 2*r + 2*p = 10, -2*r - 5 = -2*p - 11. Solve 1 = -a - r for a. -5 Let v = -5 + 9. Suppose -1 = r - v. Solve -r*a = -6*a - 12 for a. -4 Let o = 19 - 5. Let i be (8/o)/(5/35). Solve -i = 2*w - 2 for w. -1 Let l be (-1 - -2) + -1 + 4. Suppose 0 = l*m - m. Suppose 0*s - 5*s = m. Solve -5*w = -s*w - 20 for w. 4 Let c be 8/(5 - (-6)/(-2)). Solve -t = c*t for t. 0
{ "pile_set_name": "DM Mathematics" }
170))/sqrt(10) - sqrt(17)) + sqrt(68) + -1 + sqrt(17) + 4 + -1)**2. 16*sqrt(17) + 275 Simplify 3*(sqrt(243) - sqrt(243)*1 - (sqrt(27) + -3) - (sqrt(96)*-1)/sqrt(8))**2 + 4. -18*sqrt(3) + 40 Simplify 2*3*(((-3 + (sqrt(1008) - (-1 + sqrt(1008))))**2 - sqrt(1008) - sqrt(1008))*2 + 0 + 5)*2. -576*sqrt(7) + 156 Simplify 6*(-6*(5*(0 + sqrt(637) + sqrt(637)))**2 - (sqrt(1573)*1*-5 + (sqrt(1573) + -2 + sqrt(1573) + -3)**2)). -2331102 + 1650*sqrt(13) Simplify ((-2*(sqrt(80) + sqrt(5))*4 - ((1 + sqrt(180) - sqrt(180)) + sqrt(180))*-2) + 4 + (-2*sqrt(125) - sqrt(125)) + 2 + -4)**2. -344*sqrt(5) + 9261 Simplify (-6*-1*sqrt(78))/(sqrt(42)/(sqrt(7) + sqrt(7) + sqrt(14)/sqrt(2)) - sqrt(6)) + (sqrt(104)/(sqrt(2) - sqrt(18)) + sqrt(52))/(sqrt(252)/sqrt(7)). -53*sqrt(13)/6 Simplify (((-1 + -1*sqrt(2736))*-6 - 6*(2 + sqrt(2736))*-2)*6)**2 + -1. 466560*sqrt(19) + 31945103 Simplify (-1 + 1 + sqrt(180)*2 + -4 - 2*(-6*(sqrt(180) - (1 + sqrt(180))) - sqrt(180))*-2)**2. -480*sqrt(5) + 1120 Simplify (3*3*(sqrt(66)*1 + sqrt(66))*-6)/((sqrt(54)*-3)/sqrt(9) - (sqrt(384) + sqrt(384) + 1*sqrt(384) + sqrt(384))). 108*sqrt(11)/35 Simplify (1*1*(sqrt(128) + 0 + 5)*-3*-6)**2*3. 77760*sqrt(2) + 148716 Simplify ((-1*sqrt(180)*3*1 - (-3*(sqrt(180) + 2*sqrt(180) + sqrt(180)) - sqrt(180) - sqrt(180)*-2*-6))*-4 + 4)**2*1. -4224*sqrt(5) + 1393936 Simplify (6*(4 + (sqrt(162) - (sqrt(162) - 5*(2 + sqrt(162)))) + -4 + (-1 + sqrt(162))*-1)*4)**2*-6. -9376128 - 2737152*sqrt(2) Simplify -6*(-3*(1 + (sqrt(612) - (sqrt(612) - (-1 + sqrt(612)))) + (-6*(sqrt(612) - -2*sqrt(612)) - sqrt(612))))**2*-1. 10707552 Simplify (sqrt(240)*-2 - -6*sqrt(15)*2)/(-1*sqrt(720)*2). -sqrt(3)/6 Simplify (6*sqrt(440)/(sqrt(8) - 4*sqrt(8)))/((sqrt(3993)*-5 + sqrt(3993))/sqrt(3)). sqrt(5)/22 Simplify 5*(-3*sqrt(80))**2 + 2*sqrt(80)*-6 + (-1*2*sqrt(80)*-5 + -3)**2. -288*sqrt(5) + 11609 Simplify (1*sqrt(132)*1)/(sqrt(96)/sqrt(72)) + ((3*sqrt(1331)*2 + sqrt(1331))**2 - sqrt(1331)) + (sqrt(1331) + -2)*-2 + sqrt(1331) + sqrt(1331). -8*sqrt(11) + 65223 Simplify (-2*3*(-1*sqrt(75))**2 + (-5 + 0 + sqrt(300) - -5*(sqrt(300) + -1 + sqrt(300)))**2)*5. -11000*sqrt(3) + 179750 Simplify (sqrt(68)*-2*1)/(sqrt(4) + (sqrt(56)/sqrt(2))/sqrt(7)) + 5*-2*sqrt(833)*5. -351*sqrt(17) Simplify (sqrt(160)/(sqrt(200) + sqrt(8)))/(-1*sqrt(100)) + (sqrt(110)/(sqrt(6)/sqrt(3)))/(sqrt(44)/(sqrt(4)*2 - sqrt(4))). 29*sqrt(5)/30 Simplify -4 + (2*1*sqrt(2299)*1*6 - ((sqrt(2299) + 0)*6 + 4 + 2 + sqrt(2299) + sqrt(2299))**2). -147176 - 924*sqrt(19) Simplify -3*(-2 + -2 + sqrt(475) + (-1*sqrt(475))**2*-5 + (-3*sqrt(475)*-1 - (sqrt(475) - (sqrt(475) + 3 + sqrt(475)))*-6)**2). -1635*sqrt(19) - 6660 Simplify 4 + sqrt(325) + sqrt(13) + 5 + 0 - (-2*(sqrt(1872) + 0) - (sqrt(1872) + (2*(sqrt(1872) + -1 - sqrt(1872)))**2)). 13 + 42*sqrt(13) Simplify (6*(sqrt(108) + 1) + 0 + (sqrt(108)*2 - sqrt(108)) - (-5*(sqrt(108)*2 + 0) + 0))**2. 1224*sqrt(3) + 31248 Simplify (-4*(3 + (sqrt(1053) + -1*sqrt(1053) + sqrt(1053) + -1 - sqrt(1053)) + -4)*5)**2 + -3. 1597 Simplify (5 + (-6*(sqrt(425) + -1 + 2 + sqrt(425)) - 6*((sqrt(425) - 6*3*sqrt(425)) + sqrt(425)))*3)**2. -32760*sqrt(17) + 26989369 Simplify (5*(sqrt(392)*3)/sqrt(8)*-3)/((sqrt(140)*2 - sqrt(35))/(sqrt(80)*-2 + sqrt(80) - sqrt(80))). 120*sqrt(7) Simplify -4 + 4*(((sqrt(162) + sqrt(162) + -1)*-2 - (sqrt(162) + -1 + sqrt(162) + 1 - sqrt(162)) - -4*(sqrt(162) + -1)*-6)**2 + 5). -54288*sqrt(2) + 547688 Simplify 1 + ((sqrt(72)*2*1)/(sqrt(6) - sqrt(24)*-5))/(1*(sqrt(726) + 2*sqrt(726) - ((sqrt(294)*-1 - sqrt(294)) + sqrt(294)))). sqrt(2)/220 + 1 Simplify 3 + (-3*(sqrt(147) + (sqrt(147)*2)**2) + (sqrt(3) - (sqrt(3) + -1)*-3) + sqrt(48) + -2 + sqrt(48))*2. -3535 - 18*sqrt(3) Simplify (sqrt(567) + 4 + sqrt(14)/(-5*sqrt(2)) + (-5 + sqrt(7)*3 - sqrt(56)/(sqrt(56)/sqrt(7))))**2 + -3. -108*sqrt(7)/5 + 20362/25 Simplify 5*((sqrt(224) + 2*sqrt(224))/((sqrt(28) - sqrt(56)/sqrt(2)) + sqrt(7)) + 1 + (sqrt(324)/sqrt(9))/sqrt(2)). 5 + 75*sqrt(2) Simplify (sqrt(342)/sqrt(6)*1 + 5*sqrt(456)/sqrt(8))/((sqrt(96)/sqrt(4))/(sqrt(288) + -2*sqrt(288) + sqrt(288) - sqrt(2))). -3*sqrt(19) Simplify ((sqrt(99) + (1*sqrt(99) + sqrt(99))*-5)*-3*-6)/(-2*sqrt(9)*1 + (sqrt(1296) - -1*sqrt(1296))). -81*sqrt(11)/11 Simplify (((-2*sqrt(240))/sqrt(8))/(sqrt(60)/sqrt(6)*6))**2 + (3 + -3*sqrt(48)*4)**2*-2. -41525/3 + 576*sqrt(3) Simplify -5 + ((sqrt(1700)*2 - sqrt(1700))*-4 - ((0 + sqrt(1700))**2 + -4)) + 3 + 0 + 2. -1696 - 40*sqrt(17) Simplify ((-1*sqrt(300)*5 + 4 + sqrt(300)*2)*-2 + (sqrt(300) + -2*sqrt(300)*-3 - ((-2 + sqrt(300))*-5 - sqrt(300))))**2 + -2. -6840*sqrt(3) + 108622 Simplify ((sqrt(286)/(sqrt(11) - sqrt(55)/sqrt(5)*-1))/(sqrt(24)/(sqrt(12)*-2)*-2) + -3)**2. -3*sqrt(13) + 49/4 Simplify (((sqrt(1700) - (2*sqrt(1700) - sqrt(1700))) + -4 + sqrt(1700) - (sqrt(1700) - (4*sqrt(1700) + 5)))*-3*5)**2. 18000*sqrt(17) + 6120225 Simplify -5 + (6*1*sqrt(99)*-5*-2)/((2*sqrt(1296))/sqrt(256)). -5 + 40*sqrt(11) Simplify 1 + -4*(((2 + sqrt(272))*6 + 3)**2 - (2*(sqrt(272) + 1 + 0 - sqrt(272)))**2)*-3. 8640*sqrt(17) + 120157 Simplify -6*-1*6*((3*((sqrt(1100) + sqrt(1100)*-2)*-1 - (-3 + sqrt(1100)*1 - sqrt(1100))))**2 + 3). 19440*sqrt(11) + 359424 Simplify (sqrt(51) + sqrt(612)/sqrt(1728) - -3*sqrt(561)/sqrt(11))/(5*2*-1*sqrt(27)). -49*sqrt(17)/360 Simplify (2*(-1*(sqrt(320)*2 + -3) - ((sqrt(320) + sqrt(320)*-2 + sqrt(320))*5 + -5))*-4)**2. -16384*sqrt(5) + 86016 Simplify -6*((sqrt(900)*2)/sqrt(5) - (sqrt(80) + -3*sqrt(80))**2*4)*-4. -30720 + 288*sqrt(5) Simplify 0 + ((0 + sqrt(468) + 1)*-6)**2 + (-3 + sqrt(468))**2*-6 + -4. 648*sqrt(13) + 14018 Simplify ((-4 + 3 + 4*(sqrt(405) + sqrt(405)*-1) + 3 + -1 + sqrt(405) + -1)*2)**2. 1620 Simplify (((5*(2*sqrt(1872) - sqrt(1872)))/(sqrt(100)*1 + sqrt(4) - -2*(sqrt(12)/sqrt(3) - sqrt(4))) + -2)*-3)**2*-1. -2961 + 180*sqrt(13) Simplify (sqrt(48)/sqrt(4)*1 + sqrt(12) + sqrt(60)/sqrt(5)*3)/((sqrt(84)/(sqrt(16)/sqrt(8)))/sqrt(7)). 5*sqrt(2) Simplify (sqrt(44)*2)/sqrt(4) + -4 + sqrt(55)/sqrt(5) - (sqrt(99) - sqrt(99)*1*-6)/(sqrt(81)*-6). -4 + 61*sqrt(11)/18 Simplify -2*(sqrt(85)*1*-1 - (-2*sqrt(85)*-2 - sqrt(85)))/((sqrt(125) - -2*sqrt(125) - sqrt(125) - sqrt(125) - -2*sqrt(5)*4)*-6). -4*sqrt(17)/39 Simplify ((sqrt(168) + (sqrt(168) - -2*sqrt(168)*-2))/(-1*sqrt(175) + sqrt(175) + sqrt(175)))/((sqrt(36) - 1*sqrt(2304))/(sqrt(3) + (2*sqrt(9))/sqrt(3))). 6*sqrt(2)/35 Simplify (1*1*sqrt(135) - -2*sqrt(135)*2)/(sqrt(55)/(sqrt(99) - 4*sqrt(99)))*-1. 135*sqrt(3) Simplify (((1*sqrt(216))/sqrt(4) + sqrt(54) + sqrt(54))/(sqrt(3) - sqrt(12)*4))/((5*sqrt(72)*-2)/(-1*sqrt(12)*1 - sqrt(12))). -3*sqrt(3)/35 Simplify (1 + -1 + sqrt(117))**2 + (3 + sqrt(39)/sqrt(3))*-3 + (3 + (0 + sqrt(1872) + sqrt(1872))**2*-4)*3. -89739 - 3*sqrt(13) Simplify 6*4*((0 + sqrt(2736)*-3 + 2*sqrt(2736)*-2)*-1)**2. 3217536 Simplify 4 + 4 + (sqrt(300)/sqrt(6) + sqrt(72))**2 + -1 + -3 + 3. 249 Simplify (5 + (sqrt(162)*-1)**2 + -5)*1 - (-3 + sqrt(288) + -2 + -5 + (0 + sqrt(288))**2). -116 - 12*sqrt(2) Simplify 5*(sqrt(108)/(sqrt(1296) + -5*sqrt(1296) + sqrt(1296)))/((6*sqrt(2000) + sqrt(20))/sqrt(5)). -5*sqrt(3)/2196 Simplify (4*sqrt(180)*3*4)/(-2*sqrt(54)/sqrt(6) + sqrt(9) - -1*sqrt(324)). 96*sqrt(5)/5 Simplify (4*(sqrt(33) + sqrt(33) + sqrt(165)/sqrt(5))*6)/(-2*(sqrt(3) - sqrt(15)/(sqrt(5)*-3)))*6. -162*sqrt(11) Simplify ((4*sqrt(84)/(sqrt(12)/sqrt(4)) + (-1*sqrt(196))/sqrt(7) + -2)*4)**2. -384*sqrt(7) + 4096 Simplify (1*-5*(2*(sqrt(34) + 2*sqrt(34) - sqrt(34)) + sqrt(34)))/(2*(sqrt(6050) - sqrt(6050)*-4)). -sqrt(17)/22 Simplify (((sqrt(325) - (0 + sqrt(325)))*-2 + (sqrt(325) - (-1 + sqrt(325) + -5) - sqrt(325)))*3 + 3*(-1*-2*sqrt(325) + 4*(-1 + sqrt(325))) + 0)**2. 900*sqrt(13) + 73161 Simplify ((sqrt(15)/sqrt(3)*2 + -1)**2*-3 - sqrt(315)/(1*sqrt(7))*-4) + -5. -68 + 24*sqrt(5) Simplify (5 + (4*-2*sqrt(880) + sqrt(880))/(-3*2*sqrt(396))*-5)**2. -350*sqrt(5)/9 + 8150/81 Simplify (-3*3*sqrt(27) - (6*(sqrt(432) - (-1 + sqrt(432))))**2) + 3 + 5. -27*sqrt(3) - 28 Simplify 1 + (sqrt(1377) - (sqrt(1377) - sqrt(1377)*1)**2) + 4 + -3 - (3*1*sqrt(1377) - (sqrt(1377) - (3 + sqrt(1377)))*1). -18*sqrt(17) - 1 Simplify (-4*sqrt(1377)*3*6 - (3 + sqrt(2448) + 1)*1)**2. 5280*sqrt(17) + 7405216 Simplify (((sqrt(720) + sqrt(720) + 0 - sqrt(720)) + sqrt(720))**2 - sqrt(720))
{ "pile_set_name": "DM Mathematics" }
22*t + 11. Suppose 9 - 12 = -z. Let g be -4 - -10 - (-6)/z. Calculate the remainder when q(g) is divided by 31. 28 Suppose -25*v = -17*v - 1384. What is the remainder when 327 is divided by v? 154 Suppose 334*h = 428491 - 115199. Calculate the remainder when h is divided by 936. 2 Let r = 17606 - 17470. What is the remainder when 422 is divided by r? 14 Let o = -407 + 412. Suppose 0 = 4*i - 4*v + 11 - 3, 3*v = -3*i + 24. Suppose -i*y = y - 96. What is the remainder when y is divided by o? 4 Let b(n) = 33*n**2 + n - 2. Let c be b(1). Let q be (c/80)/(2/10). Suppose -q*m - 2*m = -64. Calculate the remainder when 76 is divided by m. 12 Suppose 5*m = -4*h + 74, -2*m - 60 = -4*h - 0*h. Let l(r) = 1040*r + h + 29 - 1047*r. What is the remainder when l(0) is divided by 10? 5 Suppose -6*q = 5*q - 506. Suppose 5*k + q = 3*i, -2*k + 4*k - 2 = 0. What is the remainder when i is divided by 9? 8 Let b(q) = -q**3 - 6*q**2 - 3*q - 7. Let y(l) = l**3 - 41*l**2 - 227*l - 58. Calculate the remainder when y(46) is divided by b(-6). 3 Calculate the remainder when 247 + 1 - (5 + -7) is divided by (5 - -37)*54/(-36)*-1. 61 Let i = 454 + -450. Suppose 4*s + 8*j - 136 = i*j, j - 4 = 0. Calculate the remainder when 385 is divided by s. 25 Suppose 155 = 4*b + b. Let c(w) = -w**3 - 14*w**2 + 12*w - 36. Suppose 0 = -9*o - 137 + 2. What is the remainder when b is divided by c(o)? 4 Let m(r) be the first derivative of 9*r**2/2 + 195*r - 430. Suppose 1 - 40 = -y. What is the remainder when m(-5) is divided by y? 33 Suppose -137 = 3*b - 4*k - 171, 4*b + 5*k = 4. Let w = 59 + -23. Calculate the remainder when w is divided by b. 0 Suppose -5*t + 4*y = -1453, 4*t - 1160 = 85*y - 81*y. Calculate the remainder when t is divided by 9. 5 Let r(w) = -2*w**3 + 15*w**2 + w + 5. Calculate the remainder when 237 is divided by r(7). 54 Suppose 0 = 4*j + 7 + 5. Calculate the remainder when 152 is divided by 2 + 18 + j + 9. 22 Suppose 10 = 2*a, 5*a + 927 = -3*k + 4537. Calculate the remainder when k is divided by 23. 22 Suppose -10 = 2*y, -16*y + 17*y + 21 = -4*a. Suppose 0*b = 3*b - 108. What is the remainder when 38/19*1*(-206)/a is divided by b? 31 Let w = -341 + 344. Let t(j) = 6*j**2 + 19*j - 42. Calculate the remainder when 411 is divided by t(w). 66 Let n be -123*(-20)/(-12) - (1 - 3). What is the remainder when (n + 0/(-2))*-1 is divided by 34? 33 Let o(n) = 16*n + 1. Suppose 4*d + 2 = -10. Let v be o(d). Let h = v - -56. What is the remainder when h is divided by 6? 3 Suppose 5*n - 4*o - 16 = 0, -6*n - 2*o = -n - 22. Suppose 64 = -5*d + 2*i + n, 5 = -d - i. Calculate the remainder when 32 is divided by 27/5 + ((-46)/d - 5). 2 Let z = -82 - -88. What is the remainder when 3 + (-1059)/(-18) - (-7)/42 is divided by z? 2 Let v = -13332 - -13355. Calculate the remainder when 265 is divided by v. 12 Let l = -412 - -296. Let b = 352 + l. Calculate the remainder when b is divided by 20. 16 Let k = -1929 + 3024. Suppose -4*i = -5*t - 9*i + k, 0 = t + 5*i - 223. Calculate the remainder when t is divided by 55. 53 Let s = 46576 - 46496. Suppose -2537 = -4*o + 3*c, -4*o + c = -4*c - 2527. What is the remainder when o is divided by s? 78 What is the remainder when ((-1024)/(-176) + 2/11)*(-49)/(-3) is divided by 77? 21 Let w = -1530 - -1577. Calculate the remainder when 5355 is divided by w. 44 Let u = -70 + 72. Suppose 3*t = 0, -4*d + 128 = -5*t + u*t. What is the remainder when 117 is divided by d? 21 Suppose 5*s = b - 11 - 7, 0 = 5*b - 4*s - 132. Let j(w) = -48*w + b*w + 22*w + 39. Calculate the remainder when 32 is divided by j(-6). 5 Suppose -436 = -6*w - 88. Let o = 76 - w. Suppose -3*i + o = 5*d - 32, 3*d - 44 = i. What is the remainder when 61 is divided by d? 9 Let v(l) = -l**3 + 15*l**2 - l + 162. Calculate the remainder when v(14) is divided by 10. 4 Let w(c) = 37*c**2 - c - 7. Suppose 2*q = 3*z + 2 + 47, -5*q - 4*z + 134 = 0. What is the remainder when w(2) is divided by q? 9 What is the remainder when (-2)/(-3)*9/33 - 309222/(-902) is divided by 72? 55 Let l = -134 + 218. Calculate the remainder when 6/21 - (-3000)/l is divided by 16. 4 Suppose -355*i + 372*i = 14348. Suppose -i*b + 855*b - 1221 = 0. Let f(u) = -9*u + 1. Calculate the remainder when b is divided by f(-3). 27 Let z = 280 - 188. Let d(r) = r - 187 + 112 + z. What is the remainder when d(-11) is divided by 5? 1 Suppose -28 = -j - y, -j = 4*y - 5 - 17. Suppose -4*a - 389 - 1757 = -5*s, 3*s = a + 540. Let w = a + 682. Calculate the remainder when w is divided by j. 28 Let i = -358 + 428. Let a = 226 + -127. Suppose -27 = 3*g - a. What is the remainder when i is divided by g? 22 Let p(k) = -14*k - 2*k**2 - 16*k + 4 - 36*k + 42*k. What is the remainder when 5 is divided by p(-12)? 1 Let q = -51 - -299. Let d = -225 + q. What is the remainder when 68 is divided by d? 22 Suppose 0 = -60*x + 56*x. Let s be (-4)/(-2)*(x - -109). Suppose 7*g - s = -1. What is the remainder when g is divided by 17? 14 Suppose 0 = 199*d - 184*d - 6870. What is the remainder when d is divided by 176? 106 Let j(n) = 115*n + 1077. Calculate the remainder when 1342 is divided by j(-9). 40 Suppose -1561 = -23*l - 24*l + 460. Calculate the remainder when 4643 is divided by l. 42 Suppose 9*z - 8*z - 356 = -4*s, -321 = -z + s. What is the remainder when z is divided by 129? 70 Let a(q) be the third derivative of 11*q**2 - 5/12*q**4 + 11/3*q**3 + 0 + 0*q. What is the remainder when a(-5) is divided by 25? 22 Let j(n) = 18*n + 336. Let v = -435 - -418. What is the remainder when (3/(-2))/(4/(-184)) is divided by j(v)? 9 Suppose -6 = 2*x, -2*o + 547 = 5*x + 208. Suppose -9 = 3*k + 5*w, 0 = w + w. Calculate the remainder when o is divided by 9/k + 50 - (6 + -4). 42 Suppose 0 = -2*r, -5*c + 4*r = -7*c + 448 + 112. Calculate the remainder when c is divided by 67. 12 Let r(t) = t**2 - 25*t - 32. Let b be r(20). What is the remainder when 63 is divided by (-1)/(-3) - (b/9 + -7)? 19 Let i(f) = 36*f - 218. Calculate the remainder when 267 is divided by i(10). 125 Let t = -5 - -7. Suppose -542*j + 230*j + 14664 = 0. What is the remainder when j is divided by -1*(t + -1*8)? 5 Let j = -1262 + 1301. What is the remainder when j is divided by 15? 9 Let s = 2152 - 1489. Suppose 0*i - s = -3*y + 3*i, 2*i + 6 = 0. Suppose -10*t = -868 + y. Calculate the remainder when t is divided by 17. 14 Let q(f) = 7*f**2 - 52*f + 131. Calculate the remainder when 126 is divided by q(4). 21 Let p(j) = -j**3 + 4*j**2 + 7*j + 2. Let v be p(5). What is the remainder when (-16)/(-20)*20/2 is divided by 102/18 + (-4)/v*2? 3 Let t be (-10 + 9)/(4/(-188)). Suppose 11*q - 16*q + 5*i + 75 = 0, -4*i = -3*q + t. Calculate the remainder when ((-70)/8)/((-1)/4) is divided by q. 9 Suppose -4*g = -4*s + 104, 0 = -4*s - g + 284 - 150. What is the remainder when 1662 is divided by s? 30 Suppose 0 = 3*w - 3*a - 2253, 4*a = -18*w + 21*w - 2255. Calculate the remainder when 759 is divided by w. 10 Suppose 233*f - 248*f = -2010. What is the remainder when 172 is divided by f? 38 Let p be ((-6)/3)/(-1)*-6. Let n = p - -15. Suppose -21 = -6*o + n*o. What is the remainder when o is divided by 5? 2 Let x(y) = -2*y**2 + 7 + 338*y**3 - 4*y + 4 - 337*y**3. Let k be x(5). Calculate the remainder when 25 is divided by 12/k - 152/(-11). 11 Suppose -1440 = -15*n + 5880. Suppose -5*j = -10*j + 10, 0 = -4*u - 4*j + n. What is the remainder when u is divided by 31? 27 Suppose 680 = 16*m + 74*m - 2740. Calculate the remainder when 11208 is divided by m. 36 Suppose 0 = 10*f - 123 + 13. Calculate the remainder when 5421 is divided by f. 9 Let q = -30 - -47. Suppose 4*k + 20 = 48. Suppose 5*b - 18 = k. Calculate the remainder when q is divided by b. 2 Let l = 63 - 41. Suppose -l*h = -20*h - 22. What is the remainder when 109 is divided by h? 10 Let u = 37 + -34. Suppose 16 = 4*a, -a - 7 - 22 = -u*g. What is the remainder when 1/5 - 268/(-10) is divided by g? 5 Suppose 1 = -7*q + 176. Suppose 4*l = 9*l - q. Suppose 200 = l*b - 180. Calculate the remainder when b is divided by 20. 16 Let g = 5 + 21. Let t(y) = -39*y**2 - 2*y - 1. Let c be t(-1). Let i = c - -167. What is the remainder when i is divided by g? 25 Suppose 18 = 4*h - 3*h. Let d = 6968 + -6961. What is the remainder when h is divided by d? 4 Let s = -20453
{ "pile_set_name": "DM Mathematics" }
m**3 + 18175*m**2 - 83695*m + 10830 = 0. Calculate m. -19, 2/15, 3 Factor j**4 + 181*j**3 + 9699*j**2 + 158219*j - 168100. (j - 1)*(j + 41)**2*(j + 100) Determine i, given that 2*i**4 + 258*i**3 - 2654*i**2 - 23610*i - 20700 = 0. -138, -5, -1, 15 Factor -2*a**3 - 170*a**2 - 1246*a - 1078. -2*(a + 1)*(a + 7)*(a + 77) Determine z, given that 3*z**2 - 389802*z - 389805 = 0. -1, 129935 Factor -9*t**3/7 + 169080*t**2/7 - 450832*t/7 + 300544/7. -(t - 18784)*(3*t - 4)**2/7 Determine j so that 6*j**4/7 + 778*j**3/7 + 1992*j**2/7 - 5112*j/7 - 4064/7 = 0. -127, -4, -2/3, 2 Suppose -4*l**2 - 2318704*l - 336024264976 = 0. Calculate l. -289838 Factor -4*i**5 + 308*i**4 - 2032*i**3 + 5120*i**2 - 5632*i + 2240. -4*(i - 70)*(i - 2)**3*(i - 1) Suppose 2*h**3 - 40*h**2 - 952*h = 0. What is h? -14, 0, 34 Find d, given that -2*d**2/9 - 1792*d/3 - 1790 = 0. -2685, -3 Suppose g**3/5 + 9459*g**2/5 + 4482135*g + 40186125 = 0. Calculate g. -4725, -9 Determine t so that t**4/3 + 101*t**3/3 - 106*t**2 - 616*t/3 + 832/3 = 0. -104, -2, 1, 4 Factor -v**2 + 167859*v - 167858. -(v - 167858)*(v - 1) Factor -k**2 - 11453*k - 45796. -(k + 4)*(k + 11449) Determine l so that -5*l**2 + 83435*l - 333660 = 0. 4, 16683 Factor -5*l**2 + 9545*l + 9550. -5*(l - 1910)*(l + 1) Factor 5*r**2 - 5450*r - 231855. 5*(r - 1131)*(r + 41) Solve 4*c**4 - 1672*c**3 + 198004*c**2 - 4865520*c + 33872400 = 0 for c. 15, 194 Factor 3*t**3 - 3774*t**2 - 12*t + 15096. 3*(t - 1258)*(t - 2)*(t + 2) Find u, given that u**5/4 + 30789*u**4/4 - 46189*u**3/2 - 15393*u**2 + 92374*u - 61584 = 0. -30792, -2, 1, 2 Determine h so that -4*h**2 + 104936*h - 688222756 = 0. 13117 Solve 3*k**2 + 39606*k + 79200 = 0. -13200, -2 Find f, given that f**4/8 + 3417*f**3/8 + 3415*f**2/8 - 3417*f/8 - 427 = 0. -3416, -1, 1 Suppose 533*g**3/9 - 5339*g**2/9 + 10*g = 0. What is g? 0, 9/533, 10 Factor -25*d**2/2 - 435*d/2 + 135. -5*(d + 18)*(5*d - 3)/2 Factor -5*a**3 + 8040*a**2 + 97020*a + 291600. -5*(a - 1620)*(a + 6)**2 Suppose 2*f**5/7 + 418*f**4/7 - 8018*f**3/7 + 34838*f**2/7 - 27240*f/7 = 0. Calculate f. -227, 0, 1, 5, 12 Factor 5*a**2 + 625*a + 9180. 5*(a + 17)*(a + 108) Determine i, given that -4*i**4/3 + 2836*i**3/3 - 2828*i**2/3 - 2836*i/3 + 944 = 0. -1, 1, 708 Factor -4*o**3 + 580*o**2 + 30848*o - 63984. -4*(o - 186)*(o - 2)*(o + 43) Factor 2*g**2/7 + 640*g/7 + 18432/7. 2*(g + 32)*(g + 288)/7 Factor 2*p**3/5 - 43008*p**2/5 + 231211008*p/5. 2*p*(p - 10752)**2/5 Factor -3*x**3 - 732*x**2 - 2157*x + 2892. -3*(x - 1)*(x + 4)*(x + 241) Factor 5*o**2 - 406250*o + 8251953125. 5*(o - 40625)**2 Factor 2*b**3 - 3334*b**2 + 1384430*b + 4183350. 2*(b - 835)**2*(b + 3) Solve -3*d**4/2 - 1446*d**3 + 11625*d**2/2 + 4329*d - 26136 = 0 for d. -968, -2, 3 Factor q**3 + 551*q**2 + 10720*q + 53100. (q + 10)**2*(q + 531) Determine z so that 2*z**3 - 1030*z**2 - 50400*z = 0. -45, 0, 560 Determine u so that -150*u**4 + 58590*u**3 + 758433*u**2/2 + 754596*u + 868239/2 = 0. -27/10, -1, 397 Factor 3*s**3 - 153006*s**2 + 1950749988*s + 3902112024. 3*(s - 25502)**2*(s + 2) Suppose -t**4/8 + 53*t**3/8 - 153*t**2/8 + 151*t/8 - 25/4 = 0. What is t? 1, 50 Let y**2/6 + 253*y/6 + 6776/3 = 0. What is y? -176, -77 Factor 5*a**4 + 320*a**3 - 6885*a**2. 5*a**2*(a - 17)*(a + 81) Factor -2*v**3 - 3018*v**2 - 1445454*v - 212685254. -2*(v + 283)*(v + 613)**2 Factor -a**4 - 417418*a**3 - 1252248*a**2 - 1252246*a - 417415. -(a + 1)**3*(a + 417415) Solve -2*r**3/13 + 476*r**2/13 - 2250*r + 8424 = 0 for r. 4, 117 Determine j so that -j**2/2 + 700*j - 20775/2 = 0. 15, 1385 Find l such that -4*l**2 + 1660*l - 100936 = 0. 74, 341 Factor -l**2/3 - 2239*l/3 + 4490. -(l - 6)*(l + 2245)/3 Solve f**3/2 - 859*f**2/2 - 861*f = 0. -2, 0, 861 Suppose -r**5/9 + 482*r**4/9 + 2944*r**3/9 - 7808*r**2/9 = 0. Calculate r. -8, 0, 2, 488 Find s, given that -3*s**2 + 378*s + 61101 = 0. -93, 219 Let -2*z**3/3 + 1292*z**2/3 - 39358*z/3 + 38068/3 = 0. Calculate z. 1, 31, 614 Find m, given that -m**3/9 + 977*m**2/9 = 0. 0, 977 Solve 3*a**2 + 440022*a + 16134946707 = 0 for a. -73337 Determine z so that -3*z**3 + 12*z**2 + 26496*z = 0. -92, 0, 96 Let -k**2/6 - 3581*k/6 + 597 = 0. Calculate k. -3582, 1 Determine p, given that -2*p**3 + 804486*p**2 - 3217920*p + 3217912 = 0. 2, 402239 Let -4*p**2 + 46752*p - 136609344 = 0. What is p? 5844 Let 2*g**5/9 - 2*g**4/3 - 134*g**3/9 - 122*g**2/9 + 220*g/3 - 400/9 = 0. What is g? -5, -4, 1, 10 Suppose -3*v**5 - 348*v**4 - 1665*v**3 = 0. Calculate v. -111, -5, 0 Factor 3*j**3 + 1356*j**2 + 4029*j - 5388. 3*(j - 1)*(j + 4)*(j + 449) Factor -y**3/6 + 242*y**2 - 1928*y + 11552/3. -(y - 1444)*(y - 4)**2/6 Suppose 3*u**2 - 4395*u + 8778 = 0. Calculate u. 2, 1463 Let -20*i**5 + 560*i**4 - 3165*i**3 + 4585*i**2 + 3185*i - 5145 = 0. Calculate i. -1, 1, 7/2, 21 Find f, given that -4*f**3 + 660*f**2 = 0. 0, 165 Find o, given that 2*o**4 + 1918*o**3 + 28416*o**2 + 90496*o - 120832 = 0. -944, -8, 1 Find h, given that -2*h**4/7 + 2986*h**3/7 + 30062*h**2/7 - 2986*h/7 - 30060/7 = 0. -10, -1, 1, 1503 Factor -13*b**4/2 - 113*b**3/2 + 417*b**2/2 - 443*b/2 + 76. -(b - 1)**3*(13*b + 152)/2 Determine l so that 3*l**3/4 - 2361*l**2/2 + 32925*l/4 - 14103/2 = 0. 1, 6, 1567 Let 5*h**4 - 15710*h**3 + 12308745*h**2 + 49423660*h + 49486580 = 0. Calculate h. -2, 1573 Factor 4*h**2 - 194048*h + 2353414144. 4*(h - 24256)**2 Solve -3*z**5 - 845*z**4 - 9529*z**3 - 21395*z**2 - 17568*z - 4860 = 0. -270, -9, -1, -2/3 Let 2*l**5/7 + 898*l**4/7 - 7300*l**3/7 + 5564*l**2/7 + 5230*l + 22850/7 = 0. What is l? -457, -1, 5 Factor -w**2/2 - 1547*w/2 + 56595. -(w - 70)*(w + 1617)/2 Factor p**2/7 - 1723*p/7 - 54374/7. (p - 1754)*(p + 31)/7 Let -18*k**5/5 - 49*k**4/5 + 39*k**3 - 10*k**2 = 0. What is k? -5, 0, 5/18, 2 Determine j so that -j**5/3 + 131*j**4/3 + 577*j**3 - 2119*j**2/3 - 3718*j/3 = 0. -13, -1, 0, 2, 143 Solve 6*b**2/5 - 1353*b + 10134/5 = 0 for b. 3/2, 1126 Solve -4*t**4 - 264*t**3 - 4284*t**2 - 10584*t = 0 for t. -42, -21, -3, 0 Suppose 354025*o**2 - 6545*o + 121/4 = 0. Calculate o. 11/1190 Suppose -3*v**2 + 738402*v + 738405 = 0. What is v? -1, 246135 Factor -3*r**3 + 2088*r**2 - 107844*r + 207360. -3*(r - 640)*(r - 54)*(r - 2) Suppose -5*s**3 + 1615*s**2 + 16545*s + 34965 = 0. What is s? -7, -3, 333 Factor 3*p**2/5 - 87186*p/5 + 633449883/5. 3*(p - 14531)**2/5 Solve 249*s**5/5 + 492*s**4/5 - 759*s**3/5 - 1974*s**2/5 - 948*s/5 + 24/5 = 0 for s. -2, -1, 2/83, 2 Factor -4*w**2 - 117828*w - 117824. -4*(w + 1)*(w + 29456) Suppose -3*m**3/5 + 22*m**2/5 + 353*m/5 - 24 = 0. Calculate m. -8, 1/3, 15 Factor 3*b**4/5 - 306*b**3/5 + 11664*b**2/5 - 39366*b + 1240029/5. 3*(b - 27)**3*(b - 21)/5 Factor 4*x**3/3 - 2072*x**2/3 - 4884*x - 8400. 4*(x - 525)*(x + 3)*(x + 4)/3 Solve 3*t**3 + 687*t**2 - 19383*t + 129285 = 0. -255, 13 Suppose -2*j**2/7 + 140520*j/7 - 2468233800/7 = 0. Calculate j. 35130 Determine y so that -4*y**2 - 2623344*y + 2623348 = 0. -655837, 1 Determine o so that -8*o**2/7 - 14366*o/7 + 3592/7 = 0. -1796, 1/4 Suppose -4*i**5 - 2357496*i**4 - 463146591656*i**3 - 30328845780244816*i**2 + 90989779402238604*i - 60660470473044632 = 0. What is i? -196459, 1, 2 Factor -2*l**3 + 39318*l**2 - 193257798*l + 193218482. -2*(l - 9829)**2*(l - 1) Factor -3*q**3 - 24867*q**2 + 174270*q + 447984. -3*(q - 9)*(q + 2)*(q + 8296) Let 2737*v**3/3 - 2165*v**2 + 2066*v/3 - 16 = 0. Calculate v. 3/119, 8/23, 2 Let r**4 + 137*r**3 + 1270*r**2 = 0. What is r? -127, -10, 0 Determine s so that s**5/7 + 261*s**4/7 + 18164*s**3/7 + 147936*s**2/7 + 45792*s + 27216 = 0. -126, -6, -2, -1 Determine v so that -v**4/4 - 173*v**3/8 - 3373*v**2/8 + 6865*v/4 - 750 = 0. -50, -40, 1/2, 3 Find d, given that 3*d**2 + 660*d - 3375 = 0. -225, 5 Suppose -5*h**5 - 18575*h**4 - 22384680*h**3 - 7947075800*h**2 + 968481934000*h - 1904996190000 = 0. What is h? -1270, 2, 93 Determine y, given that 7*y**4/5 - 52*y**3/5 - 1413*y**2/5 + 1458*y/5 = 0. -81/7, 0, 1, 18 Determine n, given that -n**2 - 6832*n = 0. -6832, 0 Factor 3*o**4 + 306*o**3 - 633*o**2 - 936*o. 3*o*(o - 3)*(o + 1)*(o + 104) Find t such that 20595*t**2 + 288336*t + 84 = 0. -14, -2/6865 Factor -3*d**2 - 432*d - 4020. -3*(d + 10)*(d + 134) Let 8*r**3 + 6500*r**2 - 16372*r - 58680 = 0. Calculate r. -815, -2, 9/2 Solve 3*s**5/4 - 117*s**4/2 + 2277*s**3/2 + 174*s**2 - 132
{ "pile_set_name": "DM Mathematics" }
*2 - 14*z - 9 What is the y'th term of 7, 14, 21, 28, 35? 7*y What is the g'th term of -14, -44, -94, -164? -10*g**2 - 4 What is the m'th term of -356, -718, -1082, -1448, -1816? -m**2 - 359*m + 4 What is the o'th term of -3, -2, -3, -6, -11? -o**2 + 4*o - 6 What is the k'th term of 2, -3, -12, -25, -42, -63? -2*k**2 + k + 3 What is the x'th term of 47, 237, 581, 1085, 1755, 2597, 3617, 4821? x**3 + 71*x**2 - 30*x + 5 What is the m'th term of -34, -178, -426, -784, -1258? -m**3 - 46*m**2 + m + 12 What is the j'th term of 11, 26, 55, 104, 179? j**3 + j**2 + 5*j + 4 What is the h'th term of 107, 123, 147, 179? 4*h**2 + 4*h + 99 What is the w'th term of -543, -531, -519? 12*w - 555 What is the o'th term of -24, -37, -56, -81, -112? -3*o**2 - 4*o - 17 What is the h'th term of -138, -142, -148, -156, -166, -178, -192? -h**2 - h - 136 What is the l'th term of -233, -232, -231, -230? l - 234 What is the o'th term of -55, -58, -65, -76? -2*o**2 + 3*o - 56 What is the g'th term of -30, -59, -90, -123, -158? -g**2 - 26*g - 3 What is the n'th term of 9, -1, -21, -51, -91, -141? -5*n**2 + 5*n + 9 What is the p'th term of -2053, -2052, -2051, -2050, -2049, -2048? p - 2054 What is the r'th term of -113, -210, -319, -446, -597, -778? -r**3 - 90*r - 22 What is the n'th term of 40, 43, 46? 3*n + 37 What is the u'th term of 48, 63, 76, 87, 96? -u**2 + 18*u + 31 What is the a'th term of -3898, -3890, -3878, -3862, -3842? 2*a**2 + 2*a - 3902 What is the z'th term of -97, -337, -713, -1219, -1849, -2597, -3457, -4423? z**3 - 74*z**2 - 25*z + 1 What is the q'th term of 2888, 5772, 8656, 11540, 14424? 2884*q + 4 What is the c'th term of 2249, 4498, 6737, 8960, 11161, 13334, 15473? -c**3 + c**2 + 2253*c - 4 What is the c'th term of 90, 39, -12, -63? -51*c + 141 What is the z'th term of -1377, -2747, -4117, -5487, -6857, -8227? -1370*z - 7 What is the f'th term of -7, 5, 39, 107, 221, 393, 635? 2*f**3 - f**2 + f - 9 What is the m'th term of -30, -46, -78, -132, -214, -330, -486? -m**3 - 2*m**2 - 3*m - 24 What is the i'th term of -20, -6, 32, 106, 228? 2*i**3 - 22 What is the k'th term of 329, 332, 337, 344, 353? k**2 + 328 What is the o'th term of -113, -161, -241, -353? -16*o**2 - 97 What is the j'th term of 5, 25, 61, 113? 8*j**2 - 4*j + 1 What is the q'th term of -28, -58, -90, -124? -q**2 - 27*q What is the q'th term of -539, -535, -529, -521, -511, -499? q**2 + q - 541 What is the s'th term of 7, 3, 11, 37, 87, 167? s**3 - 11*s + 17 What is the i'th term of 105, 121, 137, 153, 169? 16*i + 89 What is the s'th term of 37, 69, 97, 115, 117, 97, 49, -33? -s**3 + 4*s**2 + 27*s + 7 What is the a'th term of -188, -373, -568, -779, -1012, -1273, -1568, -1903? -a**3 + a**2 - 181*a - 7 What is the d'th term of -2576, -2575, -2574, -2573, -2572? d - 2577 What is the g'th term of -1, 4, 23, 62, 127, 224? g**3 + g**2 - 5*g + 2 What is the m'th term of -2, 7, 12, 7, -14, -57, -128, -233? -m**3 + 4*m**2 + 4*m - 9 What is the h'th term of 17, -12, -67, -160, -303, -508, -787? -2*h**3 - h**2 - 12*h + 32 What is the x'th term of -93, -192, -293, -396, -501, -608? -x**2 - 96*x + 4 What is the d'th term of 10, 89, 302, 715, 1394, 2405, 3814? 11*d**3 + d**2 - d - 1 What is the x'th term of -866, -1733, -2600? -867*x + 1 What is the v'th term of 57, 54, 37, 0, -63, -158, -291? -v**3 - v**2 + 7*v + 52 What is the b'th term of 23, 63, 117, 185? 7*b**2 + 19*b - 3 What is the o'th term of 1891, 1879, 1853, 1807, 1735, 1631? -o**3 - o**2 - 2*o + 1895 What is the p'th term of -23355, -23356, -23357, -23358? -p - 23354 What is the b'th term of -150, -146, -142, -138, -134? 4*b - 154 What is the g'th term of 1278, 1277, 1276, 1275, 1274? -g + 1279 What is the s'th term of -1156, -1156, -1148, -1126, -1084, -1016? s**3 - 2*s**2 - s - 1154 What is the z'th term of 1439, 5740, 12907, 22940, 35839, 51604, 70235? 1433*z**2 + 2*z + 4 What is the r'th term of -33, -72, -117, -168, -225, -288, -357? -3*r**2 - 30*r What is the z'th term of -15, -24, -33, -42, -51? -9*z - 6 What is the n'th term of 70, 62, 44, 10, -46, -130? -n**3 + n**2 - 4*n + 74 What is the a'th term of -24, -173, -584, -1389, -2720, -4709, -7488? -22*a**3 + a**2 + 2*a - 5 What is the x'th term of -232, -233, -236, -241, -248? -x**2 + 2*x - 233 What is the s'th term of 126, 122, 118, 114, 110? -4*s + 130 What is the c'th term of 721, 1436, 2151, 2866? 715*c + 6 What is the h'th term of 555, 1123, 1691, 2259? 568*h - 13 What is the u'th term of 1127, 2253, 3379, 4505, 5631? 1126*u + 1 What is the u'th term of -1701, -1699, -1697? 2*u - 1703 What is the i'th term of 20, 135, 250, 365, 480? 115*i - 95 What is the m'th term of -87, -145, -203, -261, -319, -377? -58*m - 29 What is the x'th term of 44, 131, 288, 521, 836, 1239, 1736, 2333? x**3 + 29*x**2 - 7*x + 21 What is the o'th term of -22, -41, -80, -151, -266? -2*o**3 + 2*o**2 - 11*o - 11 What is the n'th term of -752, -753, -754, -755, -756? -n - 751 What is the b'th term of -918, -940, -962, -984, -1006? -22*b - 896 What is the h'th term of 55, 51, 45, 37, 27? -h**2 - h + 57 What is the s'th term of -15, -53, -111, -195, -311, -465, -663? -s**3 - 4*s**2 - 19*s + 9 What is the n'th term of -441, -439, -437? 2*n - 443 What is the a'th term of 1113, 1107, 1099, 1089, 1077, 1063, 1047? -a**2 - 3*a + 1117 What is the q'th term of -646, -650, -654, -658, -662? -4*q - 642 What is the q'th term of 79, 155, 231, 307, 383, 459? 76*q + 3 What is the h'th term of -322, -621, -920? -299*h - 23 What is the r'th term of 244, 243, 240, 235? -r**2 + 2*r + 243 What is the y'th term of -204, -411, -618, -825, -1032, -1239? -207*y + 3 What is the v'th term of 152, 235, 330, 443, 580, 747, 950? v**3 + 76*v + 75 What is the w'th term of -128, -484, -1076, -1904, -2968, -4268, -5804? -118*w**2 - 2*w - 8 What is the k'th term of -2236, -2241, -2250, -2263, -2280, -2301, -2326? -2*k**2 + k - 2235 What is the t'th term of 9, 2, -15, -42? -5*t**2 + 8*t + 6 What is the h'th term of -262, -1005, -2230, -3937, -6126? -241*h**2 - 20*h - 1 What is the q'th term of -492, -494, -496? -2*q - 490 What is the b'th term of -541, -1083, -1623, -2161, -2697, -3231? b**2 - 545*b + 3 What is the u'th term of -91, -178, -265, -352? -87*u - 4 What is the i'th term of -377, -380, -385, -392, -401? -i**2 - 376 What is the w'th term of 65, 72, 81, 92? w**2 + 4*w + 60 What is the p'th term of 141, 250, 375, 522, 697, 906, 1155? p**3 + 2*p**2 + 96*p + 42 What is the j'th term of 8688, 8689, 8692, 8697, 8704? j**2 - 2*j + 8689 What is the l'th term of -3, -8, -17, -30, -47, -68? -2*l**2 + l - 2 What is the v'th term of 16, 31, 34, 19, -20, -89, -194, -341? -v**3 + 22*v - 5 What is the y'th term of -308, -605, -880, -1121, -1316? 2*y**3 - y**2 - 308*y - 1 What is the k'th term of 24, 27, 34, 45? 2*k**2 - 3*k + 25 What is the v'th term of 7, -61, -227, -533, -1021, -1733, -2711? -7*v**3 - 7*v**2 + 2*v + 19 What is the r'th term of -104, -211, -318, -425, -532, -639? -107*r + 3 What is the q'th term of 82, 117, 164, 229, 318? q**3 + 28*q + 53 What is the u'th term of -5, -23, -57, -107? -8*u**2 + 6*u - 3 What is the m'th term of 163, 169, 179, 193? 2*m**2 + 161 What is the x'th term of 10, 22, 36, 52? x**2 + 9*x What is the j'th term of 60, 142, 230, 330, 448? j**3 - 3*j**2 + 84*j - 22 What is the k'th term of -43, -134, -275, -466, -707, -998? -25*k**2 - 16*k - 2 What is the z'th term of 1330, 1338, 1360, 1402, 1470, 1570, 1708, 1890? z**3 + z**2 - 2*z + 1330 What is the s'th term of -1962, -1965, -1970, -1977? -s**2 - 1961 What is the h'th term of -129, -266, -415, -582, -773, -994, -1251, -1550? -h**3 - 130*h + 2 What is the a'th term of 28, 88, 180, 304? 16*a**2 + 12*a What is the n'th term of 572, 1153, 1724, 2279, 2812, 3317, 3788, 4219? -n**3 + n**2 + 585*n - 13 What is the o'th term of 9, 14, 23, 36, 53, 74, 99? 2*o**2 - o + 8 What is the j'th term of -287, -571, -855? -284*j - 3 What is the m'th term of 406, 414, 422, 430? 8*m + 398 What is the t'th term of 114, 483, 1098, 1959, 3066, 4419, 6018? 123*t**2 - 9 What is the n'th term of -21, -17, -9, 3? 2*n**2 - 2*n - 21 What is the k'th term of -7, 38, 85, 134, 185, 238? k**2 + 42*k - 50 What is the n'th term of 1518, 3000, 4468, 5916, 7338, 8728, 10080, 11388? -n**3 - n
{ "pile_set_name": "DM Mathematics" }
377 What are the prime factors of 105307699? 7, 827, 18191 List the prime factors of 420210523. 420210523 List the prime factors of 56382222. 2, 3, 13, 722849 What are the prime factors of 98122249? 17, 5771897 What are the prime factors of 66769618? 2, 33384809 What are the prime factors of 1688675045? 5, 337735009 What are the prime factors of 383236075? 5, 15329443 List the prime factors of 23294293. 11, 2117663 List the prime factors of 4870000029. 3, 19, 53, 241, 6689 List the prime factors of 94915593. 3, 113, 93329 What are the prime factors of 340377130? 2, 5, 53, 557, 1153 List the prime factors of 27886024. 2, 3485753 What are the prime factors of 373940998? 2, 601, 311099 What are the prime factors of 22402405? 5, 4480481 What are the prime factors of 37720142? 2, 2311, 8161 What are the prime factors of 98892008? 2, 557, 22193 What are the prime factors of 745621291? 23, 29, 59, 18947 List the prime factors of 404146690. 2, 5, 31, 487, 2677 List the prime factors of 9044271. 3, 334973 What are the prime factors of 192331853? 7, 331, 83009 List the prime factors of 1764189084. 2, 3, 7, 21002251 List the prime factors of 181368554. 2, 90684277 What are the prime factors of 155548675? 5, 439, 14173 List the prime factors of 91789136. 2, 23, 249427 What are the prime factors of 1073730800? 2, 5, 29, 151, 613 List the prime factors of 174159789. 3, 887, 65449 What are the prime factors of 1075634260? 2, 5, 53781713 List the prime factors of 38757646. 2, 19378823 List the prime factors of 26811325. 5, 983, 1091 List the prime factors of 198078659. 233, 239, 3557 List the prime factors of 651678088. 2, 167, 487783 What are the prime factors of 44876563? 43, 487, 2143 List the prime factors of 213464290. 2, 5, 13, 1642033 What are the prime factors of 793390501? 793390501 What are the prime factors of 70410113? 70410113 What are the prime factors of 26395658? 2, 109, 121081 What are the prime factors of 591858362? 2, 79, 3745939 What are the prime factors of 5213332205? 5, 5393, 193337 List the prime factors of 547952154. 2, 3, 91325359 What are the prime factors of 472106109? 3, 29, 5426507 List the prime factors of 19110091. 7, 11, 13, 17, 1123 What are the prime factors of 199270670? 2, 5, 19, 1048793 What are the prime factors of 1356621555? 3, 5, 90441437 List the prime factors of 126622702. 2, 43, 61, 24137 List the prime factors of 14194256. 2, 887141 List the prime factors of 26429117. 11, 13, 421, 439 List the prime factors of 512024222. 2, 2063, 124097 What are the prime factors of 86000014? 2, 31, 751, 1847 What are the prime factors of 1418306922? 2, 3, 2918327 List the prime factors of 308980171. 211, 359, 4079 List the prime factors of 161544863. 17, 907, 10477 List the prime factors of 242495968. 2, 11, 13, 197, 269 What are the prime factors of 71486038? 2, 13, 43, 1487 What are the prime factors of 84408733? 84408733 What are the prime factors of 208137813? 3, 13, 31, 172157 What are the prime factors of 3368087693? 4241, 794173 What are the prime factors of 1609148573? 1609148573 List the prime factors of 400012926. 2, 3, 647, 103043 List the prime factors of 26198403. 3, 7, 11, 23, 4931 What are the prime factors of 456407240? 2, 5, 617, 18493 List the prime factors of 89106522. 2, 3, 1619, 9173 List the prime factors of 166787186. 2, 83393593 List the prime factors of 3476464126. 2, 149, 2287, 5101 What are the prime factors of 63278449? 13, 53, 91841 What are the prime factors of 3488035099? 53, 223, 421, 701 List the prime factors of 54705001. 13, 4208077 List the prime factors of 27413679. 3, 9137893 List the prime factors of 1559487154. 2, 547, 1425491 What are the prime factors of 629233152? 2, 3, 409657 What are the prime factors of 1721252440? 2, 5, 2089, 20599 List the prime factors of 446825056. 2, 13963283 What are the prime factors of 1035429706? 2, 7297, 70949 What are the prime factors of 355599435? 3, 5, 23, 1030723 What are the prime factors of 5202758628? 2, 3, 16057897 What are the prime factors of 613334629? 23, 661, 40343 List the prime factors of 158677690. 2, 5, 23, 689903 List the prime factors of 258382174. 2, 37, 3491651 What are the prime factors of 256776184? 2, 7, 19, 373, 647 List the prime factors of 3364556493. 3, 673, 1666447 What are the prime factors of 58204588? 2, 13, 1119319 What are the prime factors of 96474146? 2, 48237073 List the prime factors of 204787571. 204787571 What are the prime factors of 69569104? 2, 11, 277, 1427 What are the prime factors of 4035606608? 2, 11, 17, 59, 22861 What are the prime factors of 2513345912? 2, 7, 11, 61, 211, 317 List the prime factors of 3798183520. 2, 5, 17, 53, 26347 List the prime factors of 6059639488. 2, 7, 1932283 What are the prime factors of 101615030? 2, 5, 11, 923773 List the prime factors of 25790431. 25790431 What are the prime factors of 214685004? 2, 3, 17890417 List the prime factors of 518340618. 2, 3, 28796701 List the prime factors of 47672656. 2, 2979541 What are the prime factors of 71056811? 7, 1450139 What are the prime factors of 56239221? 3, 19, 463, 2131 What are the prime factors of 878069377? 878069377 List the prime factors of 21249062. 2, 10624531 What are the prime factors of 2914472834? 2, 7, 13, 43, 372409 What are the prime factors of 81269781? 3, 103, 263009 What are the prime factors of 87987600? 2, 3, 5, 8147 What are the prime factors of 742478987? 10729, 69203 What are the prime factors of 1009496536? 2, 193, 653819 List the prime factors of 12665561. 17, 745033 What are the prime factors of 231187692? 2, 3, 17, 37, 109, 281 List the prime factors of 542593942. 2, 11, 3049, 8089 List the prime factors of 779723534. 2, 7079, 55073 List the prime factors of 8742501. 3, 971389 List the prime factors of 58234467. 3, 139, 359, 389 List the prime factors of 460868205. 3, 5, 7, 4389221 List the prime factors of 155635671. 3, 51878557 List the prime factors of 146029130. 2, 5, 13, 59, 79, 241 What are the prime factors of 22740170? 2, 5, 2274017 List the prime factors of 841111315. 5, 11, 2467, 6199 What are the prime factors of 140169303? 3, 15574367 What are the prime factors of 4269845116? 2, 1067461279 What are the prime factors of 95516135? 5, 11, 13, 19, 79, 89 What are the prime factors of 1079209864? 2, 23, 47, 124793 What are the prime factors of 284451220? 2, 5, 14222561 What are the prime factors of 1759981970? 2, 5, 19, 9263063 List the prime factors of 1738931844. 2, 3, 13, 857, 13007 What are the prime factors of 2710921446? 2, 3, 191, 87613 What are the prime factors of 223531285? 5, 281, 159097 What are the prime factors of 821232324? 2, 3, 11, 29, 197 What are the prime factors of 82605190? 2, 5, 23, 359153 What are the prime factors of 109107007? 109107007 List the prime factors of 16761350. 2, 5, 271, 1237 List the prime factors of 98748263. 19, 103, 50459 What are the prime factors of 1068402092? 2, 267100523 List the prime factors of 1500443011. 41, 36596171 List the prime factors of 178343810. 2, 5, 967, 18443 List the prime factors of 40769446. 2, 157, 827 What are the prime factors of 32002811? 2579, 12409 What are the prime factors of 316729071? 3, 2351, 14969 What are the prime factors of 282272915? 5, 383, 147401 What are the prime factors of 2552820864? 2, 3, 11, 604361 List the prime factors of 12353647. 1033, 11959 What are the prime factors of 104548758? 2, 3, 79, 367, 601 List the prime factors of 515427196. 2, 277, 465187 What are the prime factors of 157357790? 2, 5, 1811, 8689 What are the prime factors of 12152963? 1021, 11903 What are the prime factors of 6727847? 7, 137303 List the prime factors of 3030846432. 2, 3, 557, 56681 List the prime factors of 1337992520. 2, 5, 37, 904049 List the prime factors of 26824409. 19, 59, 23929 What are the prime factors of 10289783? 7, 1469969 What are the prime factors of 58122930? 2, 3, 5, 37, 52363 What are the prime factors of 3028558624? 2, 7, 13, 29, 35863 List the prime factors of 2427159767. 877, 2767571 What are the prime factors of 164770126? 2, 59, 71, 277 What are the prime factors of 716980320? 2, 3, 5, 7, 71129 What are the prime factors of 4052905955? 5, 7, 421, 275053 List the prime factors of 107468679. 3, 17, 1223, 17
{ "pile_set_name": "DM Mathematics" }
uppose -33*j + 174 = 2*j + 34. Put -0.068, j, -3, 7 in decreasing order. 7, j, -0.068, -3 Let r be (349525/(-33))/25 - 1*-5. Let l = r - -419. Put -0.02, -4, l, -0.1 in ascending order. -4, -0.1, -0.02, l Suppose -3*j + 0*s = 5*s - 23, -5*s = -j - 19. Suppose 33 = 4*y + 5*q, -3*y + 5*q = -0*q + 19. Sort j, y, 4 in ascending order. j, y, 4 Let l(z) = 3*z**2 + 4*z - 4. Let q = 306 + -306. Let f be l(q). Sort 13, f, 0. f, 0, 13 Let c = 16 - -126. Suppose 5*j + 33 = -c. Let q = j - -37. Put q, -4, -10 in increasing order. -10, -4, q Let f = -3286.2 + 3286.2. Put -4, -0.7, 0.5, 1/20, f in ascending order. -4, -0.7, f, 1/20, 0.5 Let r(b) = 283*b - 845. Let h be r(3). Let x(g) = g**2 - 15*g. Let s be x(15). Suppose 25 = -5*t, s*y = 2*y + 3*t + 21. Sort -1, h, y, -11 in increasing order. -11, y, -1, h Let u be (3 - 2) + (4 + -8)/1. Let z(i) = i**3 + 18*i**2 + 16*i - 21. Let s be z(-17). Sort s, 3, u, -41 in descending order. 3, u, s, -41 Let u = 1 + 2. Let k = -26423 + 26411. Sort k, -1, 4, u in decreasing order. 4, u, -1, k Suppose 2*x - 51*d - 41 = -46*d, -3*x = 5*d - 49. Let j = 4 + -6. Let m be (j - -1)*(2 - 3). Sort m, x, 4. m, 4, x Let o(u) = u**3 + 11*u**2 + 24*u + 34. Let c be o(-10). Sort 4, c, 9, -3 in increasing order. c, -3, 4, 9 Let t be (0 + 24/(-14))*(-18)/(-36). Let x = t + 116/119. Let d = -1.2 - -1. Put x, d, 2/9 in descending order. 2/9, x, d Let g = -1.1 + 4.18. Let o = -0.08 + g. Let n = 154.8 + -154.4. Sort o, n, -2/13 in descending order. o, n, -2/13 Let n = -5 - -5.3. Let c = -195.6 - -380.9. Let t = 185 - c. Sort n, 9, 1, t in decreasing order. 9, 1, n, t Let u be 9/6*(-9 + -25). Let v = 254 + -119. Let j be 8/36 - u/v. Sort -22, -0.2, j in decreasing order. j, -0.2, -22 Let l = -320.1 + 300. Let j = l + 20. Let b be (3 - 67/22)*1. Put b, -1/4, j in decreasing order. b, j, -1/4 Let f = 1915.484 - 1915.4. Sort -0.3, -2/5, 1, f, 0.5. -2/5, -0.3, f, 0.5, 1 Let c = 9 - 6. Let h = 280.833 - -0.167. Let b = h + -284. Put 4, c, b, 2 in descending order. 4, c, 2, b Let u = 8648 - 8649. Sort u, 139, 1 in descending order. 139, 1, u Suppose 112*s - 30*s - 273 = 55. Sort -1/102, 3/7, -1/7, s, -0.5 in increasing order. -0.5, -1/7, -1/102, 3/7, s Let g(p) = 44*p**2 - 87*p**2 - 6*p - 3 + 42*p**2. Let r be g(-2). Sort -2, r, 2 in ascending order. -2, 2, r Suppose -544*a = -130*a + 1242. Let o = -6 + -4. Sort -4, o, a in descending order. a, -4, o Let g = 0.24 - 0.216. Let j = 0.065 + g. Let a = -0.011 - j. Sort a, -0.5, 3, -4 in increasing order. -4, -0.5, a, 3 Let v = 0.08211 - 0.12211. Put -3, v, -1/2, -24 in decreasing order. v, -1/2, -3, -24 Suppose -4*g + 5*q = -6 + 8, 4*q = 8. Suppose 0 = -g*z - 5*i - 7, -2*i + 7*i = 2*z - 3. Suppose 2*v - 3 = -v. Sort v, 13, z in descending order. 13, v, z Let j(z) = 23*z + 10. Let l(x) = -142*x - 59. Let t(g) = -37*j(g) - 6*l(g). Let b be 32/(-6)*(1 - 4). Let k be t(b). Sort k, 1, 4, 5. k, 1, 4, 5 Let i be 4/14 + (-2)/7. Suppose i = -u - u + 6. Suppose 51*r - 61*r + 280 = 0. Put r, 2, u in increasing order. 2, u, r Let l = 1.304 - 0.304. Suppose 5*a + 2*c = -54, 0 = a + c + 12. Let b be a/15 - 15/(-36). Sort 3, l, -1, b. -1, b, l, 3 Let u = 11 + -7.1. Let h = u - 3.9. Let w = 0.0664 + -1.0664. Sort w, h, -5, 0.3 in increasing order. -5, w, h, 0.3 Suppose -154*i - 66842 = 8156. Put 3, -2, -12, i in decreasing order. 3, -2, -12, i Suppose 2*i - o - 1 - 2 = 0, -4*o = 5*i - 40. Let c(x) = -2*x + 19. Let q be c(8). Suppose 19*b = 20*b - q. Put i, b, -1 in descending order. i, b, -1 Let i = -13.033 + 12.033. Put 52, 3, i in decreasing order. 52, 3, i Suppose 2 = 2*t - y, 13*y = 18*y - 20. Sort 0, -1/16, 0.2, t. -1/16, 0, 0.2, t Let u = -2604.7 - -2605. Let k = 0.9 - 3.9. Let x = k - -8. Put x, u, -5 in ascending order. -5, u, x Let d = 28588 + -28584. Sort -6, 5, -7, d. -7, -6, d, 5 Let g be -1 - 21 - (0/20)/11. Suppose -4*c - 4*l - 10 = -2*l, 4*c + 3*l + 9 = 0. Put g, c, -4 in descending order. c, -4, g Let c = -32 - 1049. Sort 5, c, 1, 3 in ascending order. c, 1, 3, 5 Let k = -2105 - -2122. Let y = -5 + 1. Let u(z) = -z. Let n be u(y). Put -5, k, n in ascending order. -5, n, k Let o be 6/32*2 - (-237)/(-696). Let s = 49.7 - 50. Put o, -5, s in descending order. o, s, -5 Suppose 19*g - 32*g + 52 = 0. Let t = 9 + -6. Sort 2, g, -5, t in ascending order. -5, 2, t, g Let l(j) = j**3 + 5*j**2 + 5*j + 7. Let s be l(-4). Let k be ((s + -3)/1 - -3)/3. Put k, -2, 5 in increasing order. -2, k, 5 Let f be 962/(-364) + 9/6. Let q = -174 - -347/2. Put -1/3, q, f in descending order. -1/3, q, f Suppose 2*w = 4*z + 4 + 4, 2*z = 2*w - 2. Let d be (6/(-9))/((-1648)/330 - -5). Put 5, w, d in decreasing order. 5, w, d Let l = 87363035/456 - 16872545/24. Let w = -510929 - l. Let c = 508 - w. Sort 1/2, 7, 4, c in ascending order. c, 1/2, 4, 7 Suppose -2*w - 135 = 17*w - 154. Suppose 6*z - 4*z + 4 = 0. Put z, w, 9, -5 in ascending order. -5, z, w, 9 Let x = 72921/11 - 6629. Put x, -4, 0, -39 in ascending order. -39, -4, 0, x Let p = 5848 + -5852. Sort p, 1421, 3 in decreasing order. 1421, 3, p Let h be (1365/(-182))/(10/(-8)). Put h, 1, 17 in decreasing order. 17, h, 1 Let p(t) = -t**2 + 8. Let a be p(-3). Let r = 366 + -368. Put 3, 4, r, a in ascending order. r, a, 3, 4 Let z = -222 + 242.6. Let y = z + -21. Let t = 1/7 + -1/105. Sort y, t, -1. -1, y, t Let q(h) = -h + 17. Let o be q(16). Let l(u) = u**2 - 4*u - 4. Let b be l(6). Let c(i) = -19*i + 3. Let k be c(0). Put b, o, k in increasing order. o, k, b Let l = 259 - 127. Let n = l + -132. Let u = 20.5 + -20. Sort u, n, -2/11 in increasing order. -2/11, n, u Let z be (-3)/((-54)/(-4)) - (-860)/(-18). Let u be (z/(-3))/(-4)*-2. Suppose 0 = w - u + 12. Sort -1, w, 3, 40. w, -1, 3, 40 Suppose -5*j + 22 = -42*a + 44*a, -24 = 3*a - 2*j. Sort -9, -3, 1, a in descending order. 1, -3, a, -9 Let r(y) = 41*y**2 - 1555*y - 112. Let z be r(38). Let b = -6 + -8. Sort 1, z, b, 0. b, 0, 1, z Let y be 20/(-25) + 19/5. Suppose -3*m - 9 = 0, 0 = -3*b + y*m + 6 + 12. Sort 1, 16, b. 1, b, 16 Suppose 4*p - 9*p = 4*f - 12, -4*f = -p - 12. Sort -3, 0, 144, f. -3, 0, f, 144 Let y = -150 + 147. Let s be 0 + (2/((-40)/55) - y). Sort s, 0.01, 2 in decreasing order. 2, s, 0.01 Let u = 0.36 - -0.04. Let l = 2.4 - u. Suppose 3*w = p - 1, 2*p + 3*p = 2*w - 34. Put w, -2, l in ascending order. w, -2, l Let t be (80/(-50))/((-4)/10). Let f(x) be the first derivative of -x**3/3 + 3*x**2 + 14*x - 28. Let q be f(8). Put t, q, 2 in decreasing order. t, 2, q Let b(k) be the third derivative of -11*k**6/60 - k**5/30 + k**3/6 - k**2. Let o be b(-1). Suppose -2*w = -29 + o. Sort 2, 1, -4, w in increasing order. -4, 1, 2, w Let p = -901 + 900.3. Put 1/6, p, 2/3 in increasing order. p, 1/6, 2/3 Let v = 249.7 - 273. Let d = v + 22.9. Let t = 12 - 12.5. Sort 5/6, t, -0.07, d in increasing order. t, d, -0.07, 5/6 Let v = 1322 - 511. Let x = v - 813. Sort 0, 50, x in decreasing order. 50, 0, x Let w(b) = b**3 - 2*b**2 - 4*b + 3. Let l be w(3). Let i be 2/(1/(-4 + 5 - 5)). Let p be -1*i/((-8)/3). Put p, l, 3 in increasing order. p, l, 3 Let h = -0.4 + 0.9. Suppose 17 = 3*t + 2. Let g = 9 + t. Put 1, g, -0.2, h in decreasing order. g, 1, h, -0.2 Let z = -2.2 + 6.2. Let v = 22 - 31. Sort 1/4, v, 2, z in ascending order. v, 1/4, 2, z Suppose 23 = 2*i - 19. Let y = -0.18815 - -0.28815. Sort i, y, 4 in decreasing order. i, 4, y Let c be 54 - 33 - -2 - 25. Let x = 2 - 2. Put c, -5, -3, x in decreasing order. x, c, -3, -5 Let h(x) = -x**2 + 4*x + 14. Suppose m - 6*m + 27 = p, -p = m - 3. Let q be h(m). Sort q, 5, 3, 1/6. 1/6, q, 3, 5 Suppose -21*j + 90*j - 414 = 0. Put -1, j, 5, 2 in increasing order. -1, 2, 5, j Suppose 0 = s - 4. Suppose 0 = -3*k - 4*g + 14, -565*k + g = -563*k - 13. Let n(d) = -3*d - 1. Let r be n(-1). Sort s, r, k in increasing order. r, s, k Let m be (-2198)/(-942) + (-28)/3. Put -2, -8, m, -0.7 in decreasing order. -0.7, -2, m, -8 Suppose 5*j - 11*j - 24 = 0. Let a be (2 + j)*2 - -1. Let c be a*3/9 - 4. Sort c, 0, -4 in descending order. 0, -4, c Let p(q) = 260*q + 2597. Let t be p(-10). Sort -2, t, -110, 7. -110, t, -2, 7 Let i = -7414 - -7409. Sort 5/2, i, -0.6, -0.15, 3 in ascending order. i, -0.6, -0.15, 5/2, 3 Let f = -3610.1 - -3610. Put 2, -1, 4, -0.19, f in ascending order. -1, -0.19, f, 2,
{ "pile_set_name": "DM Mathematics" }
ate -13 + 36*j**q + 30*j**4 - 45*j**4 wrt j. 84*j**3 What is the third derivative of 503*q**2 - 8*q**4 + 17551*q**3 - q**4 + 9*q**5 - 17551*q**3 wrt q? 540*q**2 - 216*q Let m(a) = -a**3 - 2*a**2 - 2. Let d be m(-3). Suppose 2*o + 10 = d*o. Find the second derivative of 7*p**2 - 5*p - 12*p**o + p wrt p. -10 Let y(o) = 9*o**6 - 2*o**5 - o**2 - 39. Let r(v) = 36*v**6 - 9*v**5 - 5*v**2 - 157. Let x(m) = -2*r(m) + 9*y(m). Find the third derivative of x(q) wrt q. 1080*q**3 Suppose -5*h + 3*h = 4*t + 2, 5*h = t + 17. Differentiate -h*a + 10 - 10*a - 7 wrt a. -13 Let i(a) be the second derivative of -a**8/28 + 11*a**7/14 - 6*a**4 - 2*a - 21. Find the third derivative of i(j) wrt j. -240*j**3 + 1980*j**2 Let l be 0 + (-6)/2 - (1 + -111). Differentiate 14*s**3 - 6*s**3 - 120 + l wrt s. 24*s**2 Suppose -3*a + 5*a - 20 = 0. Find the first derivative of 18 + a*o - o - 24 wrt o. 9 Let q(c) = -136*c**3 - 4*c**2 - 4*c + 46. Let i(g) = -137*g**3 - 6*g**2 - 6*g + 47. Let v(d) = 2*i(d) - 3*q(d). What is the first derivative of v(r) wrt r? 402*r**2 Let s(c) be the second derivative of 0 + 0*c**2 - 7/20*c**5 + 11*c + 0*c**4 + 7/3*c**3. Find the second derivative of s(r) wrt r. -42*r Differentiate 275 + 18*p**4 + 4*p - 23*p**4 + 9*p**4 with respect to p. 16*p**3 + 4 Let v(k) be the second derivative of 0*k**6 + 0*k**5 - k**3 + 13/42*k**7 - k + 0*k**2 + 0*k**4 + 0. What is the second derivative of v(a) wrt a? 260*a**3 Suppose -9 = 3*c + 4*v, 0 = 2*c - 5*v + 4*v + 6. Let f be ((-60)/(-8))/c*-2. Find the second derivative of x**f + 0*x**5 + 4*x - 6*x**5 wrt x. -100*x**3 Suppose -23*w + 72 = w. Let l(u) be the second derivative of 1/6*u**4 + 0*u**3 + 0 + 1/2*u**2 + w*u. Differentiate l(i) with respect to i. 4*i Let l(y) be the first derivative of -28*y**6/3 - 103*y**2/2 - 60. Find the second derivative of l(m) wrt m. -1120*m**3 Let m(l) be the first derivative of 227*l**7/7 - 107*l**3/3 - 303. What is the third derivative of m(v) wrt v? 27240*v**3 Let a(x) = -31*x**3 + 9*x**2 - 10*x - 115. Let t(c) = -16*c**3 + 4*c**2 - 4*c - 57. Let b(h) = -2*a(h) + 5*t(h). Differentiate b(z) with respect to z. -54*z**2 + 4*z Let g(i) be the second derivative of i**8/420 + 11*i**4/24 + 4*i**3/3 - 2*i. Let r(w) be the second derivative of g(w). Differentiate r(m) wrt m. 16*m**3 Let h(f) = -3*f**2 + f + 2. Let v(t) = -589*t**2 - 107*t + 12. Let k(b) = -6*h(b) + v(b). Find the second derivative of k(l) wrt l. -1142 Let d(s) = s - 3. Let t be d(13). Find the third derivative of -34*f**2 - 3*f**3 - 54 - t*f**4 + 0*f**3 + 54 wrt f. -240*f - 18 Let p(t) = -3*t - 19. Let g(b) = b + 6. Let z(h) = -11*g(h) - 4*p(h). Let i(l) = l - 1. Let d(r) = -4*i(r) + z(r). What is the first derivative of d(m) wrt m? -3 Let y(d) = 6*d**2 + 64*d - 20. Let v be y(-11). Let m(w) be the first derivative of 1/3*w**3 - 5/2*w**v + 0*w + 2. Find the second derivative of m(q) wrt q. 2 Let x(h) be the second derivative of 53*h**3/3 - 39*h**2 + 7*h + 6. Differentiate x(o) wrt o. 106 What is the first derivative of -31*p**3 - 41 + 316 + 82*p**3 + 5*p**3 - 2*p**4 wrt p? -8*p**3 + 168*p**2 Let s = 52 + -46. Find the second derivative of -12*x + s*x**4 - x - 5*x**4 + 5*x**4 wrt x. 72*x**2 Let o(w) = -w**2 - w. Let u(n) = -183*n**3 + 61*n**2 + 61*n + 366. Let y(z) = -61*o(z) - u(z). Differentiate y(x) wrt x. 549*x**2 Let j(d) be the third derivative of -d**8/1344 + d**5/10 + 17*d**4/24 - 27*d**2. Let w(c) be the second derivative of j(c). Differentiate w(i) wrt i. -15*i**2 Let g(h) be the first derivative of h**2 + 0*h + 0*h**4 + 0*h**3 + 0*h**5 - 9 + 8/3*h**6. What is the second derivative of g(p) wrt p? 320*p**3 Let h(d) be the second derivative of 0 + 2/3*d**4 + 0*d**7 + 9*d + 0*d**6 + 0*d**2 + 0*d**3 + 0*d**5 - 3/28*d**8. What is the third derivative of h(c) wrt c? -720*c**3 Let r(a) be the second derivative of 3/7*a**7 + 0 + 0*a**5 - 6*a + 0*a**4 - 1/3*a**3 + 0*a**6 + 0*a**2. Find the second derivative of r(n) wrt n. 360*n**3 Let i be (-1 - 1)*(-2)/(-4). Let q(a) = -a - 1. Let p be q(i). Find the second derivative of p*s - 5*s**2 - 6*s - 2*s wrt s. -10 Let l(k) be the first derivative of -3*k**6/40 + k**5/10 + 2*k**2 + 3. Let d(c) be the second derivative of l(c). What is the third derivative of d(a) wrt a? -54 Find the third derivative of -1517*s**4 + 1517*s**4 + 4*s**2 - 8*s**2 + 69*s**6 wrt s. 8280*s**3 Let k(i) be the first derivative of 0*i**4 + 0*i + 0*i**2 + 0*i**5 + 0*i**6 + 7 + 34/3*i**3 + 5*i**7. What is the third derivative of k(y) wrt y? 4200*y**3 Suppose -3*v + 10 = -20. What is the second derivative of -v*h + 13*h**3 - 10*h - 7*h + 6*h wrt h? 78*h Let z(m) be the first derivative of -m**5/5 + 4*m**4 - 30*m**3 - 2*m - 80. What is the third derivative of z(a) wrt a? -24*a + 96 Let z(j) be the first derivative of 3*j**7/7 + 13*j**4/6 + 16*j + 19. Let c(n) be the first derivative of z(n). Find the third derivative of c(m) wrt m. 1080*m**2 Suppose 5*s = 3*w + 13, 2*s = w - 2*s + 16. Find the third derivative of 33*f**4 + 3*f**2 - 19*f**w + 6*f**2 wrt f. 336*f Find the third derivative of 6*v - 18*v**4 + 15*v**4 - 7*v + 13*v**5 - 13*v**2 wrt v. 780*v**2 - 72*v Let p(c) be the second derivative of -283*c**4/12 - 181*c**3/3 - 474*c. What is the second derivative of p(f) wrt f? -566 Let r(p) be the first derivative of p**7/42 - 7*p**6/72 - 5*p**3 - 29. Let y(i) be the third derivative of r(i). What is the third derivative of y(k) wrt k? 120 Let c(k) be the second derivative of -k**5/10 - 229*k**4/12 - k**3/3 - 713*k**2/2 - 210*k - 1. Find the second derivative of c(g) wrt g. -12*g - 458 Let i(v) = 4*v - 2. Suppose a - 3*h = -h + 11, 4*a + 21 = -5*h. Let f be i(a). What is the third derivative of -4*k**2 + k**2 - 5*k**f - 2*k**3 + 0*k**3 wrt k? -12 Find the third derivative of -7*u**4 - 6*u**4 + 19*u**4 - 42*u**4 - 248*u**2 wrt u. -864*u Let h(a) = -2*a - 1. Let q(z) = -13*z - 8. Let s(l) = 20*h(l) + 4*q(l). Find the first derivative of s(v) wrt v. -92 Suppose -3*u = -4*h - 45, 2*h - 5 = -u - 0. Suppose -5*q = -u - 14. What is the second derivative of q + 3*d**2 - 5 + 2*d**2 - 5*d wrt d? 10 What is the second derivative of 7 - 175*h**5 - 61*h - 177*h**5 - 76*h**5 - 14 + 3 + 2*h**2 wrt h? -8560*h**3 + 4 Let h(f) = -f - 7. Let r be h(-10). Suppose -3*g = q + 2, -4*g - 29 = -r*q - 9. Find the second derivative of -2*b - b + q*b - 5*b**4 wrt b. -60*b**2 Suppose 7 = -4*m - 73. Let v = -16 - m. What is the second derivative of 2*p + v*p + p + 9*p**2 wrt p? 18 Let t(v) = 134*v**2 + 8. Let a(x) = 2*x**2 + x + 1. Let q(r) = 4*a(r) - t(r). What is the second derivative of q(p) wrt p? -252 Let d(t) be the third derivative of -29*t**4/12 - 9*t**3/2 + 7*t**2 - 2. Find the first derivative of d(g) wrt g. -58 Let i(m) be the first derivative of m**2/2 - 12*m - 5. Let a be i(14). What is the derivative of -r - 8*r - a - 1 + 4*r wrt r? -5 Let j(f) = -f**2 + 26. Let o(y) = -y**2 - 1. Let i = 22 - 21. Let c(u) = i*j(u) + 2*o(u). What is the derivative of c(s) wrt s? -6*s Let g(c) be the third derivative of -209*c**6/40 + c**5/30 - 58*c**3/3 + 82*c**2. Find the third derivative of g(n) wrt n. -3762 Let v(d) be the third derivative of 44*d**7/105 - 19*d**3/2 + 2*d**2 + 53. Differentiate v(m) wrt m. 352*m**3 Find the third derivative of -2102414*i - 2*i**5 + 86*i**2 - 102*i**4 + 2102414*i wrt i. -120*i**2 - 2448*i What is the third derivative of 109*m**3 - 9*m**2 - 191566*m + 2*m**3 + 191564*m wrt m? 666 Find the third derivative of 228*x**2 - x**3 - 789*x**4 + 1570*x**4 - 791*x**4 wrt x. -240*x - 6 Let s be (14/10)/((-1)/(-5)). Suppose -s = -5*z + 63. What is the first derivative of -15 + 24 - 11*a**3 - z wrt a? -33*a**2 Let z = -82 - -82. Let u(l) be the second derivative of -1/2*l**2 + 4*l + 1/6*l**6 + 0 + 0*l**4 + z*l**3 + 0*l**5. What is the derivative of u(a) wrt a? 20*a**3 Let r(v) be the third derivative of -19*v**7/210 + 47*v**4/12 + 4*v**2. What is the second derivative of r(o) wrt o? -228*o**2 Find the first derivative of -12*r**3 + 6*r**3 - 148 - 52*r**3 + 2*r**2 - 12*r**3 - 12*r**3 wrt r. -246*r**2 + 4*r Find the first derivative of -51*m**4 + 135*m**4 + 53*m**4 + 168 - 28*m**4 wrt m. 436*m**3 Let m be 2*(-4)/12*-3. Find the first derivative of g**2 + 2 + g**m + 12 - 4*g**2 wrt g. -4*g Let g(q) = q**3 + q**2 - q + 5. L
{ "pile_set_name": "DM Mathematics" }
from rvwv? 1/12 What is prob of sequence tc when two letters picked without replacement from cccwcwhwccwstclhl? 7/272 Calculate prob of sequence jzjt when four letters picked without replacement from {i: 3, a: 1, j: 5, t: 1, z: 1, l: 4}. 1/1638 Calculate prob of sequence znky when four letters picked without replacement from {q: 2, k: 3, n: 1, z: 1, y: 4, b: 1}. 1/990 What is prob of sequence dt when two letters picked without replacement from {v: 3, t: 1, d: 3, n: 1, l: 1, s: 2}? 3/110 Calculate prob of sequence ege when three letters picked without replacement from eeg. 1/3 Two letters picked without replacement from jsjjcjjjijzbbiizj. What is prob of sequence ii? 3/136 What is prob of sequence ycc when three letters picked without replacement from {y: 3, c: 8}? 28/165 Three letters picked without replacement from hzlwe. Give prob of sequence elh. 1/60 Three letters picked without replacement from qlqqlllqqlt. What is prob of sequence llt? 2/99 What is prob of sequence pie when three letters picked without replacement from ppipppepppp? 1/110 Three letters picked without replacement from {p: 2, b: 3, w: 7, s: 3}. What is prob of sequence bsw? 3/130 What is prob of sequence ccn when three letters picked without replacement from ccccccccccccccccncc? 1/19 What is prob of sequence kk when two letters picked without replacement from {k: 3, g: 1, w: 5, j: 8, n: 2}? 1/57 Calculate prob of sequence hs when two letters picked without replacement from hyyyssysssssyy. 1/26 What is prob of sequence axva when four letters picked without replacement from lblaalvvavlxlv? 1/1001 Calculate prob of sequence knn when three letters picked without replacement from nnnnnknk. 5/28 Two letters picked without replacement from {s: 1, i: 1, r: 1, o: 1, v: 2, h: 2}. What is prob of sequence hr? 1/28 What is prob of sequence ada when three letters picked without replacement from wwdawaaawadw? 1/33 What is prob of sequence ppr when three letters picked without replacement from kprpr? 1/15 Three letters picked without replacement from {v: 6, p: 1, d: 2, j: 5, z: 1}. Give prob of sequence pjj. 2/273 Calculate prob of sequence ennn when four letters picked without replacement from ejjeeeenjjeejjejejj. 0 Calculate prob of sequence nnzn when four letters picked without replacement from {n: 11, z: 2}. 3/26 Calculate prob of sequence nnn when three letters picked without replacement from {n: 9}. 1 Two letters picked without replacement from zvvfauifafafavziff. Give prob of sequence fi. 2/51 Calculate prob of sequence wu when two letters picked without replacement from wuyyejuwww. 4/45 Calculate prob of sequence wghh when four letters picked without replacement from {w: 3, h: 3, g: 2}. 3/140 Four letters picked without replacement from {c: 1, o: 4, h: 3, i: 4, u: 4}. Give prob of sequence uuic. 1/910 What is prob of sequence odr when three letters picked without replacement from {r: 1, d: 1, o: 1, l: 2}? 1/60 Calculate prob of sequence iiz when three letters picked without replacement from zbliiirbibiw. 1/66 Four letters picked without replacement from vyybyyvvvvvdvbyyqv. What is prob of sequence yyyv? 2/153 What is prob of sequence aikt when four letters picked without replacement from {i: 1, k: 4, a: 7, w: 2, t: 1}? 1/1170 Two letters picked without replacement from {e: 8, o: 2, f: 1, w: 7, u: 1}. What is prob of sequence wf? 7/342 What is prob of sequence xhx when three letters picked without replacement from {h: 2, x: 2, f: 1}? 1/15 Calculate prob of sequence ff when two letters picked without replacement from ffvvvff. 2/7 Four letters picked without replacement from {h: 2, n: 1, x: 1, v: 5}. Give prob of sequence xhhn. 1/1512 Calculate prob of sequence dd when two letters picked without replacement from {t: 7, d: 7}. 3/13 Calculate prob of sequence mbc when three letters picked without replacement from {b: 1, t: 1, s: 1, c: 2, m: 1, d: 1}. 1/105 What is prob of sequence zz when two letters picked without replacement from {k: 2, w: 7, h: 1, z: 3, a: 1}? 3/91 Four letters picked without replacement from {l: 5}. What is prob of sequence llll? 1 Two letters picked without replacement from bhvshbhhh. Give prob of sequence hb. 5/36 Two letters picked without replacement from {x: 1, y: 1, z: 1, q: 10, l: 7}. Give prob of sequence ll. 21/190 Calculate prob of sequence zh when two letters picked without replacement from zititicznnnhiinci. 1/136 Calculate prob of sequence uduu when four letters picked without replacement from diuuuuuiiiduuui. 4/195 What is prob of sequence bwdj when four letters picked without replacement from {g: 1, j: 1, d: 1, i: 5, w: 7, b: 4}? 7/23256 Calculate prob of sequence yy when two letters picked without replacement from {k: 1, m: 6, c: 2, x: 2, z: 2, y: 4}. 3/68 What is prob of sequence sx when two letters picked without replacement from xbbbsxsx? 3/28 Four letters picked without replacement from ggvvvvvvgvgvgvvv. Give prob of sequence gvgg. 11/728 Calculate prob of sequence lelw when four letters picked without replacement from elqqqmexqxqqlqmwmqm. 1/23256 Two letters picked without replacement from {b: 4, l: 15}. What is prob of sequence bl? 10/57 Calculate prob of sequence gn when two letters picked without replacement from tttxxtnhtnvtgtt. 1/105 Calculate prob of sequence mm when two letters picked without replacement from {m: 2, h: 2}. 1/6 Four letters picked without replacement from kkffffk. What is prob of sequence kkkk? 0 Calculate prob of sequence sua when three letters picked without replacement from {y: 6, u: 1, k: 6, s: 1, t: 1, a: 3}. 1/1632 Two letters picked without replacement from {e: 3, w: 4, k: 2, b: 2, m: 2}. What is prob of sequence bm? 1/39 Four letters picked without replacement from {d: 3, h: 1, b: 1, q: 4, m: 4, v: 2}. What is prob of sequence hdmv? 1/1365 Two letters picked without replacement from {q: 3, p: 3, c: 3, m: 3, t: 1, f: 5}. What is prob of sequence qp? 1/34 Two letters picked without replacement from {x: 1, v: 1, q: 1, p: 2, y: 4}. What is prob of sequence qv? 1/72 Calculate prob of sequence nkl when three letters picked without replacement from {c: 3, o: 2, k: 1, n: 3, a: 6, l: 5}. 1/456 Calculate prob of sequence hch when three letters picked without replacement from {e: 5, c: 1, j: 3, h: 4}. 1/143 Four letters picked without replacement from hjhjjjhjhj. What is prob of sequence jhjj? 2/21 What is prob of sequence cggg when four letters picked without replacement from {c: 2, g: 6}? 1/7 What is prob of sequence uu when two letters picked without replacement from uuyubkbuyybubbuub? 21/136 Calculate prob of sequence wfo when three letters picked without replacement from pwwwwwapwfooaawa. 1/240 Three letters picked without replacement from {h: 3, b: 3}. Give prob of sequence bbb. 1/20 What is prob of sequence zp when two letters picked without replacement from cmmcmcpzmc? 1/90 What is prob of sequence vb when two letters picked without replacement from {v: 9, b: 9}? 9/34 Three letters picked without replacement from {b: 6, s: 7, a: 2}. Give prob of sequence bsa. 2/65 Calculate prob of sequence mkmk when four letters picked without replacement from mmkmmmmk. 1/28 Two letters picked without replacement from {t: 7, z: 5}. What is prob of sequence tz? 35/132 Three letters picked without replacement from ttttaattatttaatattt. Give prob of sequence att. 52/323 Three letters picked without replacement from {i: 3, l: 4, c: 3, a: 3}. What is prob of sequence iil? 2/143 Two letters picked without replacement from rrgrggrrrgh. Give prob of sequence rh. 3/55 Four letters picked without replacement from zigmtrit. What is prob of sequence mrtt? 1/840 Two letters picked without replacement from dlpdkdkdkkkkp. What is prob of sequence lp? 1/78 Three letters picked without replacement from {j: 6}. What is prob of sequence jjj? 1 Four letters picked without replacement from jjjjpppj. Give prob of sequence jjjj. 1/14 Two letters picked without replacement from {j: 6, s: 2, r: 9, e: 1}. Give prob of sequence re. 1/34 What is prob of sequence jrzu when four letters picked without replacement from kkbzujjrr? 1/756 Calculate prob of sequence bcoq when four letters picked without replacement from {c: 4, j: 1, o: 2, q: 3, l: 1, b: 1}. 1/49
{ "pile_set_name": "DM Mathematics" }
= 3*i**2 + 13*i - 10. Let z(d) = -4*u(d) - 7*y(d). Calculate z(8). -2 Let r = -11 + 18. Let v(d) = -9*d**3 + 3 - 8*d + 11*d**3 - 6*d**2 - d**3. What is v(r)? -4 Let r(z) = 3*z + 1. Let k be (-8)/(-100) - (-992)/100. Determine r(k). 31 Let d(n) = -n**2 - 5*n + 12. Let u be d(-6). Let r(k) = k - 7. Let i be r(u). Let s(p) = -11*p**2 - 1. Determine s(i). -12 Let k be (-6)/(-9)*(-3)/2. Let j be (1/2)/(k/6). Let z(n) = 8*n + 2. Let l(v) = -v. Let u(x) = 4*l(x) + z(x). What is u(j)? -10 Suppose 3*o - 3*w - 15 = 0, 0 = -6*o + 2*o - w + 15. Let r(k) = -6*k**3 + 2*k**3 + 3*k**3 - 2*k + 0*k**3 - 1 + 5*k**2. Calculate r(o). 7 Let z = -13 + 16. Let f(u) = 5 + u**2 - 3*u - 7 - z - 4*u. Calculate f(8). 3 Let z(i) = 733*i - 733*i - 26*i**2. Determine z(1). -26 Let l(j) = 6*j**2 - 6*j - 5. Let q(m) = -m**3 + 5*m**2 + 5*m + 5. Let w be q(6). Let y be l(w). Let s(o) = o**2 - 7*o + 6. Determine s(y). 6 Let k(n) = n**3 - n**2. Let g be (-1)/((-2 + 1)*1). Suppose -13*i = -12*i + 5. Let r(q) = 6*q**3 - 11*q**2 - 3. Let u(o) = g*r(o) + i*k(o). Calculate u(6). -3 Suppose -3*t + 30 = 2*t. Let a(m) = 6*m**2 + m - 1. Let o(i) = -29*i**2 - 13*i + 12. Let r(p) = -5*a(p) - o(p). What is r(t)? 5 Let t(s) = s. Let p(a) = -a. Let w(x) = -5*p(x) + t(x). Calculate w(1). 6 Suppose -81 = -3*k - 4*t - 20, -57 = -3*k - 3*t. Suppose -k*n + 3*n + 0*n = 0. Let b(x) = -x**2 - x - 16. Determine b(n). -16 Let i(c) = -3*c + 25. Let g(s) = -12*s + 107. Let j(q) = -2*g(q) + 9*i(q). What is j(11)? -22 Let k(z) = z**2 - 7*z + 5. Let o be k(6). Let n = 6 + o. Let w(t) = -30*t**2 + 0*t - 3*t + 31*t**2 + 0*t. What is w(n)? 10 Let b(h) = -3*h - 1. Let a be b(-3). Let u = a + -6. Let l(x) = -3*x - 2 - 1 + 8*x - 3*x. Give l(u). 1 Let x = 16 + -10. Suppose 0 = -4*j + x*j - 6. Let f(s) = -s**2 + 7*s - 1. Let r(u) = -u**2 + 9*u - 2. Let z(g) = 3*f(g) - 2*r(g). Determine z(j). 1 Let x(y) = -y**2 - 12*y - 19. Let q be (-6)/4*(-1184)/(-222). Calculate x(q). 13 Suppose 48*b + 3*b + 561 = 0. Let d(l) = -l**3 - 12*l**2 - 11*l + 6. Give d(b). 6 Let k(m) = -m**3 + 3*m - 2. Let l be (-10)/25 + (-51)/(-15). Determine k(l). -20 Suppose 2*v + 145 = -3*q, 5*v - 5*q + 79 = 4*v. Let r = 80 + v. Let s(g) = -g**2 + 7*g + 4. Calculate s(r). 10 Let m(c) = -c**3 + 6*c**2 - c + 2. Let t = 85 + -47. Suppose -3*k = -3*p + 30, k + k + t = 5*p. What is m(p)? -4 Let k be 4 + (-2 - (-20)/8)*0. Let w(a) = a**2 - k - 7*a + 18*a + 2 - 6. Calculate w(-12). 4 Let g(d) be the first derivative of -1/2*d**2 + 1/3*d**3 - 12 + d. Give g(1). 1 Let f(a) be the third derivative of a**4/8 + 67*a**3/6 + 21*a**2 - 7. Determine f(-25). -8 Let k(u) be the first derivative of u**3/3 - 17*u**2/2 - 22*u - 164. Give k(17). -22 Let t(q) = 10*q**2 + 10*q - 1. Let m(j) = 12*j**2 + 12*j - 2. Let u(h) = -4*m(h) + 5*t(h). Suppose 4*c - 3*p = p - 28, -c - p + 3 = 0. What is u(c)? 7 Let p(r) = -5. Let h(v) = -v**2 + 10*v - 22. Let s(y) = -h(y) + 2*p(y). Suppose 28 = 2*l + 10. Give s(l). 3 Let t(v) = -1 + 3*v**2 - 1 - 2*v**2 - v - 6*v. Suppose -j + 439 - 432 = 0. What is t(j)? -2 Let d be -4 + 15/5 - -1. Let c(l) = -l**2 - 10. Calculate c(d). -10 Suppose 2*d = -0*d. Let u(v) = -v**3 + v**2 + v + 2. Let t be u(d). Let h(o) = 12*o**3 - 2 + o - o**t - 28*o**3 + 17*o**3 - o**2. Determine h(2). 0 Let p = -12 + 18. Suppose 0 = -p*i + 11*i - 10. Let r(k) = 11*k - 19*k + 3 + 1 + k**i + 9*k. What is r(0)? 4 Suppose 1 = l + 5. Let d(u) = -u**3 - 11*u**2 + 5*u + 4. Let b(r) = -4*r**3 - 48*r**2 + 20*r + 16. Let w(t) = -2*b(t) + 9*d(t). What is w(l)? 0 Let i(h) = 11*h**3 + 2*h**2 - 2*h. Let u be i(1). Let o(q) = -q**2 + 11*q - 8. Give o(u). -8 Let h(w) = -w**2 + w + 1. Let b(t) be the first derivative of -3*t**2 + 5*t - 140. Let z be ((-8)/6)/((-6)/9). Let k(m) = z*h(m) - b(m). Calculate k(5). -13 Let v(f) = -3*f**3 - 32*f**2 + 8*f - 50. Let r(z) = 4*z**3 + 42*z**2 - 11*z + 66. Let i(u) = 7*r(u) + 9*v(u). Give i(-7). -2 Let q(a) = 3. Let f(s) = -8*s - 12. Let m(p) = f(p) + 5*q(p). Calculate m(3). -21 Let c be 27*(4 + 11/(-3)). Let a(k) = k**3 - 4*k**2 + 3*k - 8. Let h(g) = g**2 - g. Let r(n) = -a(n) + 6*h(n). Calculate r(c). 8 Let a(i) be the first derivative of i**2/2 + i - 1. Suppose r + 16 = -3*r. What is a(r)? -3 Let g be -17 + 5*(-18)/(-10). Let z(x) be the second derivative of -x**3/6 - 7*x**2/2 + x. Give z(g). 1 Let n(l) = -7*l - 10. Let g(y) = 10*y + 16. Let u(i) = 5*g(i) + 7*n(i). Give u(-6). 4 Let f be ((-10)/4)/((-16)/(-32)). Let a(o) = -o + 1. Let g(u) = -u**2 + 12*u - 10. Let w(p) = f*a(p) - g(p). Give w(7). 5 Let s(d) = -6*d - 1. Let y be s(-1). Let w(v) = -v + 0 - y + 0. Let c(b) = -b**2 + 7*b + 116. Let u be c(-8). Calculate w(u). -1 Let s(c) = 2*c - 4. Let h(u) = -6*u + 13. Let g(t) = 2*h(t) + 7*s(t). Suppose 3*p = -47 + 2. Let d be 1/((p/(-6))/(-5)). What is g(d)? -6 Suppose 0 = -38*v + 51 - 317. Let b(m) = -m**3 - 8*m**2 - 8*m - 2. Determine b(v). 5 Let g = 37 + -36. Let d(s) be the first derivative of -5*s**2 - 2*s + 5. Let o(b) = -20*b - 3. Let i(w) = -5*d(w) + 3*o(w). Give i(g). -9 Let o(c) = -3*c + 7. Let w(b) = -1. Suppose 0 = 4*j + a - 15, 3*j - 9 = -4*a + a. Let n(p) = j*w(p) + o(p). Suppose 9 = 3*v + 3. Determine n(v). -3 Suppose -23*f - 50 + 142 = 0. Let d(h) = -h**3 + 3*h**2 - 5*h + 2. Determine d(f). -34 Let t(y) = -y**3 - 4*y**2 + 11*y - 6. Suppose u - 4*c - 2 = -12, -u + 3*c = 9. Give t(u). 0 Let u(a) = -a + 1. Let k be u(1). Let t(v) = -8*v - 94. Let x be t(-12). Let z be k/(3 - x/1). Let w(l) = -l**3 - l**2 + l + 14. Give w(z). 14 Let d(c) be the second derivative of c**6/360 + c**5/24 + 5*c**4/24 + 41*c**3/6 + 22*c. Let h(t) be the second derivative of d(t). Determine h(-5). 5 Let z(i) = -19*i - 15*i + 6 + 44*i - 13*i. Give z(-3). 15 Let i be ((-24)/10)/((-14)/(-70)). Let n = i - -176. Let b(f) = -2*f**2 - 170*f + 3*f**2 + n*f. Determine b(6). 0 Let v(a) be the second derivative of -a**7/2520 + 7*a**6/720 - a**5/120 + a**4/3 - 8*a. Let x(n) be the third derivative of v(n). Calculate x(6). 5 Let o = -8 + 16. Let u(g) = -o*g + g**3 - 8 + 14*g - 10*g**2 - 5*g. Determine u(10). 2 Let t = 20 + -13. Let o be ((-2)/(-1))/(-2)*t. Let f(v) = v**3 + 8*v**2 + 6*v - 9. Give f(o). -2 Let z(s) = 3*s**2 + 5*s - 5. Suppose 0 = -19*j - 13*j + 32. Calculate z(j). 3 Let h(y) = -y**3 - 8*y**2 + 5*y - 10. Let b(i) = -i**3 - 10*i**2 + 6*i - 12. Let a(j) = -4*b(j) + 5*h(j). What is a(2)? -8 Let n(k) = k**2 + 5*k - 6. Let w = 35 + -30. Suppose 2*i + 115 = -2*i - w*u, -4*i = 3*u + 125. Let z = i - -29. Give n(z). 0 Let p be 38/((-2*3)/3). Let x = p - -26. Let t(g) = g - 10. Give t(x). -3 Let x(y) be the third derivative of y**4/12 + 5*y**3/6 + y**2. Suppose -219*v + 193*v - 156 = 0. Determine x(v). -7 Let z(k) = k + 1. Suppose 4*l = 2*w + 32, -26 = -4*l + 3*w + 2*w. Let o = 139 + -149. Let a = l + o. Determine z(a). 0 Let z(q) be the first derivative of 7*q**2/2 - 4*q - 30. Let l(j) = -j. Let c(k) = 6*l(k) + z(k). Let b(d) = 3*d - 3. Let y be b(2). Give c(y). -1 Let r(b) = -b**2 - b - 2. Let p(l) = -8*l**2 + 7*l - 7. Let f(h) = -p(h) + r(h). Let w(v) = -4*v**2 + 4*v - 2. Let q(g) = 3*f(g) + 5*w(g). Calculate q(4). 5 Let m(s) = 7*s**2 + 11*s - 14. Let y(x) = -4*x**2 - 4*x + 7. Let l(f) = 3*m(f) + 5*y(f). Give l(-13). -7 Let b(l) = 14*l**2 - 9*l - 1. Let g(n) = 2*n**2 + 1. Let o(d) = b(d) - 6*g(d). Determine o(5). -2 Suppose 0 = 2*p + 3 - 11. Let f(m) = -m**2 - m + 5. Calculate f(p). -15 Let h(m) = 3 - 555*m**3 + 556*m**3 - m**2 + 7. Let t = -9 - -11. Suppose 0 = -t*i - i. Give h(i). 10 Let a(f) = -f**3 + 2*f**2 + 2*f + 2. Let i be a(3). Let j be i - 2*(-2)/4. Let z(d) be the first derivative of d**4/4 + d**2/2 - 8*d + 1. Calculate z(j). -8 Let p(f) be the third derivative of f**5/20 + f**4/8 - f**3/2 - 230*f**2. What is p(-3)? 15 Let z = 0 - -14. Let k(y) = 12*y**2 + 37*y + 11. Let q be k(-3). Suppose -4*i + m + z = 0, -q = i - 5*m - 2. Let j(l) = l**2 - 3*l + 2. Determine j(i). 6 Let m be 46/6 + 1 - (-26)/78. Let j(x) = -7 - 3 - 6*x + m. Calculate j(-2). 11 Suppose 2*t = -k + 5, -5*t + 4*k = -16 - 3. Let b(z) = 2*z - 1 + 4*z - t*z - 4*z. Let j = 1 + -4. Determine b(j). 2 Let x be 2387/(-775) - 4/(-50). Let f(b) = 2*b**2 + 4*b. What is f(x)? 6 Suppose -2*u - 22 = r, 3*u - 3*r = u - 14. Let h(l) = -l - 6. Determine h(u). 4 Let f(z) = 3*z**2 + 18*z + 24. Let
{ "pile_set_name": "DM Mathematics" }
c. 2, 5 Let o(x) = -8*x + 27. Let m = 128 + -34. Suppose -7*w - 25 - m = 0. What are the prime factors of o(w)? 163 Let t(x) = -x**2 + 5*x + 8. Let p be t(5). Suppose -3*k - 7 - p = 0. List the prime factors of 0 + (k*1)/(4/(-52)). 5, 13 Suppose 4*q - 20 = 0, 4*c - 3*q = 2*c - 7. Suppose -196 = -3*s - c*g, -3*s + 172 = 2*g - 4*g. What are the prime factors of s? 2, 3, 5 Let g(h) = h**2 - 23*h - 53. Let k be g(25). Let i(o) = -2*o**2 - o. Let r be i(-1). List the prime factors of 1/r*486/k. 2, 3 Let f(r) = -277*r + 104. List the prime factors of f(-26). 2, 13, 281 Let o(t) = -t - 12. Let u be o(3). Let g be ((-24)/(-15))/((-6)/u). Suppose g*b = 3*b + 78. List the prime factors of b. 2, 3, 13 Suppose -2*q + 3*h + 49 = 0, 0 = -q + 6*h - 2*h + 32. Suppose -46 = -6*f + q. Suppose 34 = f*s - 87. What are the prime factors of s? 11 Let j(m) = m**2 + 9*m - 6. Let a be j(-10). Suppose l + a*v = 352, 4*l + v - 742 = 681. List the prime factors of l. 2, 89 Suppose 0 = -14*i - 64 + 78. Let l(j) = -j**2 - 3*j + 17. Let p be l(12). What are the prime factors of (-2)/6*(p*2 - i)? 109 Let s(t) = -32*t + 3*t**3 - 26*t - 29*t - 10*t**2 + 85*t + 18. What are the prime factors of s(5)? 7, 19 Suppose -41*l = -39*l - 4*z - 35832, -4*z = -4*l + 71672. What are the prime factors of l? 2, 5, 7 Let j be 11 + 42/(-7) + -502. Let n = 1389 + j. List the prime factors of n. 2, 223 Suppose v + 3*j = 59082, -5*j + 199706 = 5*v - 95764. What are the prime factors of v? 2, 3, 5, 197 Let g be 660 - -5*(-8)/(-8). Let i = -350 + g. What are the prime factors of i? 3, 5, 7 Let i(d) = -d**3 - d**2 - 3*d - 1703. Let j be i(0). Let q = j - -2507. What are the prime factors of q? 2, 3, 67 Let p(a) = -a**3 - 13*a**2 - 2*a + 10. Let u be 6/(-15) + -5 + 148/20. Suppose -2*z + c - 25 + u = 0, -3*z - 48 = 3*c. List the prime factors of p(z). 2, 3 Let y(k) = k**3 - 7*k**2 - 34*k + 27. Suppose 8*n = 43 + 61. List the prime factors of y(n). 599 Suppose 1 = -i + 3*g + 7, -2*g - 4 = 3*i. Let b be 87 + (i/5)/3. List the prime factors of b + 5*(-2)/(-10). 2, 11 Let r be 33/5 - (-8)/20. Suppose -14*c = -r*c. Suppose -3*k - 2*n + 119 = c, -k + 166 = 3*k - n. List the prime factors of k. 41 Suppose 4*w = 2*y + 100674, 10*w + 5*y = 12*w - 50309. What are the prime factors of w? 2, 7, 29, 31 Let n(h) = 349*h - 7361. List the prime factors of n(61). 2, 1741 Let t(j) = -209*j**3 + 16*j + 169. List the prime factors of t(-5). 2, 3, 17, 257 Suppose -12*i = -7*i - 735. Suppose -3*p = q - 471, 2*q + i = 2*p + 1049. What are the prime factors of q? 2, 3, 19 Let g(a) = a**3 - 6*a**2 - 8*a + 2. Let z be g(7). Let y be (-3)/(-27)*3 - (-136)/6. Let r = z + y. List the prime factors of r. 2, 3 Let w = -834 - -93. What are the prime factors of (0 - 2/(-13)) + (-309624)/w? 2, 11, 19 Let q be (0*(27/6)/9)/(-1). Suppose 10*c - 4*c - 3036 = q. What are the prime factors of c? 2, 11, 23 Suppose 3*k - 2*q = 3197 + 510, 2*k - 5*q - 2486 = 0. Suppose 4*i = f - 424, -7*f - i + k = -4*f. What are the prime factors of f? 2, 103 Suppose -12*k + 16*k + 4 = 0, -5*z + 110960 = 5*k. What are the prime factors of z? 22193 Suppose -110*k + 263417 = 11*k. What are the prime factors of k? 7, 311 Suppose -5*j = 2*x - 6*x + 76, -4*x - 2*j = -76. Let v(q) = -2*q**2 - 26 + 2*q**2 - q**3 + x*q**2 + 3*q. List the prime factors of v(19). 31 Suppose -14*n = -28945 + 1365. Suppose 6 = -a + 1, 5*a = -5*o + n. What are the prime factors of o? 3, 7, 19 Let r(x) = -4*x**3 - 7*x**2 - 6*x - 16. Let p be r(-8). Suppose -803 = -3*z - 5*m, -4*z + p = -m + 569. List the prime factors of z. 2, 7, 19 Let r = -154 - 117. Let y = -97 - r. What are the prime factors of y/5 + (-4)/(-20)? 5, 7 Let u = -1511 - -401. Let h = -667 - u. List the prime factors of h. 443 Suppose 20 = -227*h + 232*h. Suppose 0 = h*m + 4*i - 2828, -m + 2*m = 3*i + 719. What are the prime factors of m? 2, 5, 71 Let n = 99 + 337. Suppose d - 4*b = 25, -b = -22*d + 23*d. Suppose 0 = -d*z + 4*s + n, -2 + 6 = -s. What are the prime factors of z? 2, 3, 7 Let t(g) be the third derivative of 17*g**5/60 + 7*g**4/24 + 25*g**3/6 + 3*g**2. Let a(c) be the first derivative of t(c). List the prime factors of a(3). 109 Let r be 1/((-7)/2) + 9750/21. Suppose -9*o + r = -670. Suppose -28 + o = 2*q - n, -q - 5*n = -49. What are the prime factors of q? 7 What are the prime factors of (3/(-6*(-9)/19920))/((-3)/(-9))? 2, 5, 83 Let x be (0 - 1)/(2/12). Let v(y) = 2*y - 270269*y**2 - 2 - 6 + 270275*y**2. What are the prime factors of v(x)? 2, 7 Suppose 3*w + 4*w - 42 = 0. Suppose 0 = w*d + 3*d - 1359. List the prime factors of d. 151 Let m be -8 - -3 - (-1151)/1. Suppose -m = -23*z + 3385. List the prime factors of z. 197 Let p(l) = l**3 + 15*l**2 - 15*l + 24. Let d be p(-16). Suppose -d*a - 834 = -11*a. What are the prime factors of a? 2, 139 Suppose -18*g = 1824 - 68388. List the prime factors of g. 2, 43 Suppose -266765 = -92*m - 209*m + 249751. What are the prime factors of m? 2, 3, 11, 13 Let t = -6 + 8. Suppose m + t*x - 2 = 0, m - 4*x = 6*m - 16. Suppose -m*y = 4*n - 259 - 121, 5*n - 377 = -4*y. List the prime factors of y. 2, 7 Suppose -7*q + 25803 = -34782. List the prime factors of q. 3, 5, 577 Suppose -25*y = 222074 + 807726. List the prime factors of (-2)/(-25) + y/(-100). 2, 103 Suppose -4*x + 27*x - 50107 = 89595. What are the prime factors of x? 2, 3037 Let x(t) = -11*t**3 - t**2 + t + 1. Let r be x(-1). Suppose -9*a + r = -7*a. Suppose a*b - 106 - 14 = 0. List the prime factors of b. 2, 3 Suppose 0 = 2*a + 10, 0 = 2*k - a - 2*a - 47. Suppose k*u - 6496 = -0*u. What are the prime factors of u? 2, 7, 29 Let s(d) = -d**3 + 7*d**2 - 2*d - 18. Let v be s(6). Suppose -4*y - 10 = -v*y. Suppose 310 = -3*i + y*i. List the prime factors of i. 5, 31 Let x = 9212 - 7655. List the prime factors of x. 3, 173 Suppose n - 124 = -5*r, 2*r = -0*r - n + 52. Suppose 0 = 11*f - 20 - r. Suppose -3*b + 5*o + 351 + 363 = 0, f*b - 3*o - 952 = 0. List the prime factors of b. 2, 7, 17 Suppose -4*l + 5*a - 5341 + 34719 = 0, l = -4*a + 7355. What are the prime factors of l? 3, 31, 79 Let k = -948 - -1761. Let c be (-23)/46*(1 + k). Let l = c + 635. What are the prime factors of l? 2, 3, 19 Let v(x) = 207*x + 5755. List the prime factors of v(0). 5, 1151 List the prime factors of 5/6 + -5*585167/(-330). 8867 Suppose -b = 4*l - 6*b - 33, 0 = 3*b + 15. What are the prime factors of 138920/520 - l/13? 3, 89 Let s(p) = p**3 + 19*p**2 + 2*p - 16. Let t(q) = 2*q**3 + 38*q**2 + 5*q - 32. Let c(j) = -11*s(j) + 6*t(j). What are the prime factors of c(-18)? 2, 41 Suppose -4*w + 5*x = -180075, 3*w - 61952 = -5*x + 73148. List the prime factors of w. 5, 1801 Let y = 4149 - 2659. Suppose -446 = -8*n + y. What are the prime factors of n? 2, 11 Let p = 12432 + -1242. List the prime factors of p. 2, 3, 5, 373 List the prime factors of (-144)/180 - -1*(-524596)/(-20). 3, 7, 1249 Suppose -5*t + 2*y = -58175, -6*y = -2*t + 22005 + 1291. List the prime factors of t. 11633 Let d = 63 - 11. List the prime factors of (19/4)/((-1)/d*-1). 13, 19 Suppose 30*y - 390522 = 6*y - 9*y. What are the prime factors of y? 2, 61, 97 Let b = 0 + -6. Suppose -103*o + 102*o + 14451 = -5*i, 2*i - 2*o = -5782. What are the prime factors of (b/5)/(51/i)? 2, 17 Suppose 0 = -287*f + 11954088 + 6942566. What are the prime factors of f? 2, 7, 4703 Let x be (-138522)/(-78) + 3/39. What are the prime factors of x/(48/8) - (1 + -2)? 3, 11 Let x(z) = z**3 + 4*z**2 - 6*z - 4. Let k be x(-5). Let b be -2 + (2 - 2) - -8*k. List the prime factors of (3*(-4)/18)/(b/(-711)). 79 Let q(c) = c**2 - 13*c + 32. Let b be 2 - (-40)/6*12/10. Let g be q(b). Suppose -g*l = j - 3, 0 = -5*j + 4*l + 77 - 6. What are the prime factors of j? 11 Let w be ((-18)/72)/((-2)/24). Suppose 4*c + 0*s - 644 = -w*s, -2*s - 782 = -5*c. Let i = -50 + c. What are the prime factors of i? 2, 3 Let y = 51466 + 1604. What are the prime factors of (3/9 + -1)/((-20)/y)? 29, 61 Let o(q) = 280*q - 47 + 55 - 16. What are the prime factors of o(7)? 2, 61 Let b = -192 - -493. Suppose 4*s = 5*m - 1494 - b, 5*m = -2*s + 1765. What are the prime factors of m? 5, 71 List the prime factors of 1554*(-780)/(-135)*3. 2, 7, 13, 37 Suppose 36*l + 54*l + 2658780 = 126*l. What are the prime factors of l? 5, 14771 Let i
{ "pile_set_name": "DM Mathematics" }
*a - 3. Let g(q) be the second derivative of 7*q**4/12 + q**3/2 + 9*q**2/2 - 9*q. Is g(k) a prime number? True Suppose 85*m - 19*m - 77117 = -m. Is m prime? True Let r = 830 - 588. Suppose -3*k + 2609 = r. Is k composite? True Let f = 2547 + -134. Is f - ((-108)/(-48) - (-2)/(-8)) a composite number? False Suppose q = 2*c + 194120 + 92399, q - 3*c = 286522. Is q a prime number? True Let o = 7521 + -4778. Is o composite? True Suppose 4*z + 8 = 6*z. Suppose -z*t - 2*t + 3078 = 0. Is -8 + 9 + 0 + t a composite number? True Let a(i) = -26*i + 12. Let b be a(-9). Let t = 154 - 152. Suppose b = t*r - 572. Is r composite? False Let b = -80 + 136. Suppose -8 + b = 4*c. Suppose -10*h - 2078 = -c*h. Is h prime? True Let k(c) = -164*c**3 - 86*c**2 + 17*c + 58. Is k(-5) a composite number? True Let x = 141724 - 29831. Is x composite? False Let x(o) = 4*o + 52. Let n be x(8). Suppose -n*m + 12436 = -80*m. Is m prime? True Suppose -53*a = -394*a + 8774953. Is a prime? True Let a = -110018 + 264841. Is a composite? False Suppose 44*g - 6471138 = 6015314. Is g a prime number? False Let y = 10920 - 15473. Let k = y + 8994. Is k prime? True Suppose -10 + 2 = -2*g. Suppose g*s - 2*k = -150, -2*s - 4*k = -s + 24. Is 3*(1/(-2) - 15126/s) composite? False Suppose r - 9*v = -7*v + 1573759, 0 = 4*r + 2*v - 6295106. Is r a composite number? True Let h(c) = 2381*c + 1287. Is h(16) a prime number? True Let r(d) = d**2 - 13*d - 6. Let p be r(14). Let t = 27 + -221. Is t/6*p/((-16)/66) prime? False Suppose -4*m + 411 = 4*w - 5*m, -4*w + 3*m + 417 = 0. Let s = 1504 - w. Is s a prime number? False Let p = 2242 + -623. Suppose -4*a = -905 - p. Is a composite? False Let w(q) = 17*q**2 + 14*q + 30. Suppose 41*s - 37*s = -12. Is w(s) a prime number? False Let x(u) = 78*u**3 + 13*u**2 - 4*u + 40. Is x(7) a prime number? False Suppose -138925 = 48*s - 6501373. Is s a prime number? False Let f(g) = 836*g. Let y be f(2). Let p = y - -1681. Is p a prime number? False Let f = 2 + 41. Let y = f + 786. Is y a composite number? False Let f(b) = -14 - 6*b**2 - 11 + 6*b - b**3 + 25*b**2. Suppose 0 = -58*i - 0*i + 638. Is f(i) prime? True Let v(s) = s**3 - 5*s**2 + 7*s - 1. Let p be v(3). Suppose -57 = -5*i + b, i + p*b - 14 = 4. Suppose i*q - 9*q = 4707. Is q composite? True Let j be -10*((-2)/20)/((-2)/8). Let f be (j/20*0)/(1 + -3). Suppose 4*u - 13*u + 5283 = f. Is u a prime number? True Let y(r) = r**3 - 15*r**2 + 20*r - 11. Suppose 3*g - 93 = 36. Let a = g - 26. Is y(a) prime? True Suppose 2*l - 544 = 4*u, -5*l = 5*u + 649 - 1964. Suppose -x - 2*x - b = -399, 0 = -2*x + 2*b + l. Is x a composite number? True Let j be (72310/175)/(2/15). Let t = 6476 - j. Is t a composite number? True Let g = 76 - 49. Let v(u) = -14 - 73*u + g*u - 74*u - 45*u. Is v(-5) a composite number? False Let r be (1 + (-18)/(-6))/((-1)/(-6784)). Suppose 0 = 51*n - r - 2801. Is n composite? False Let j = -2966 - -27031. Is j prime? False Suppose 49*l - 78008352 = -28*l - 19*l. Is l prime? True Let w(k) = k**3 - 12*k**2 + 7*k - 5. Let y be w(11). Let p = 54 + y. Suppose -2*o - 5*q = -78, p*o - 195 = 3*q + q. Is o a composite number? True Let q(u) = 5*u - 9. Let a be q(-2). Let g(t) = 6*t**3 - 22*t + 7*t**2 + 12 - 7*t**3 - 27*t**2. Is g(a) composite? True Is (-17 + 260/15)*396237 prime? False Suppose -4*f = -5*w + 17, 38*f - 34*f = 4*w - 12. Suppose 0 = 3*d + 3, -3*d = w*l - 7*d - 2939. Is l composite? False Suppose -2*m = -695 + 687. Is 382481/77 + m/(-14) a prime number? True Let j(b) = -10267*b - 23 + 10238*b + 232. Is j(-12) a prime number? True Let q(b) = -b**3 + 18*b**2 + 19*b + 7. Let y be q(19). Let s be (y - 155/15) + 4/(-6). Is 1/(1/s + (-221)/(-868)) prime? False Suppose 50*y - 40*y = 40. Suppose j + 2*j - i = 5402, 0 = -4*i + y. Is j a composite number? False Let o(u) be the third derivative of 3*u**4/4 + 7*u**3/6 - 5*u**2. Suppose -2*f + 0*f = q - 20, -f - 4 = 4*q. Is o(f) composite? False Suppose -23 - 5 = 2*w - 3*p, -2*w = -p + 36. Is (-8)/w*32231 - 21/(-35) composite? False Is (757496/(-4))/(-16 - (-19 + 5)) a prime number? True Let v be (7 - 3) + 4/(-1)*1. Suppose v = 5*k - 2*q - 23921, -6*q + 5*q - 19135 = -4*k. Is k prime? True Let z(w) = w**3 - 7*w**2 - 12*w - 13. Let i = 64 + -54. Is z(i) prime? True Let u = 12 - -6. Suppose -14*a = -8*a - u. Is -2 - 2 - -6252 - 0 - a a composite number? True Suppose -4*j = 3*h - 878342, -2*h = -3*j + 305128 + 353637. Is j a prime number? True Is (1219/(-46) + 23)*(-2525716)/14 prime? True Suppose -5*w = -5*n - 5549895, -2*n = -2*w + 9*w - 7769925. Is w composite? False Suppose -5*u = -0*u - 50. Suppose 158818 + 51232 = u*r. Is r prime? False Let a(j) = -j**2 - 7*j + 8. Let l be a(-6). Suppose -4*k - 20 = -l*k. Suppose 0*o + o - 671 = 2*c, 1339 = k*o - 5*c. Is o a prime number? True Let c(b) = -119*b**3 + 7*b**2 + 182*b - 33. Is c(-12) composite? True Suppose 4*z = 108 - 8. Suppose -z*m + 23*m = -9774. Suppose -3*g + m = 354. Is g composite? False Let s(u) = 10409*u**3 - 134*u**2 + 11*u + 17. Is s(6) a composite number? True Let g = -531 + 535. Suppose 8*l - 6*l + 89505 = 5*o, -g*o = 5*l - 71637. Is o composite? False Let p(g) be the third derivative of -g**6/120 + 11*g**5/60 - 5*g**4/24 - 4*g**3/3 - 44*g**2. Is p(6) a composite number? True Suppose -n - 5*r + 621017 + 253309 = 0, r - 1748697 = -2*n. Is n composite? False Suppose -10*b + 16*b - 234 = 0. Suppose -5*d - b = k - 432, -4*k + 5*d = -1572. Suppose -5*h + 892 + k = 0. Is h prime? True Let s(a) = 5298*a**2 - 103*a - 393. Is s(-4) a prime number? True Let q = -176087 - -323776. Is q a prime number? True Suppose -486*h = -509*h + 497283. Is h a composite number? True Let p be (-1 - 8/3)/(6/(-18)). Suppose 2*b = p*b - 18351. Is b a prime number? True Let f = -78 - -51. Let l = f + 31. Suppose 1341 = -2*d + 5*d + l*p, d - 5*p = 447. Is d a composite number? True Let j = 1255236 - 879577. Is j prime? False Let n = 209 + -245. Is (-73506)/8*48/n prime? True Let s(n) = 5*n**3 - 2*n**2 - 23*n + 7. Suppose 0 = -23*k + 18*k + 25. Is s(k) a composite number? False Let x = -100 + 99. Let q be 1*44/8*(x + 3). Let f = q - -1388. Is f composite? False Is 12/(-15) + (-15330226)/(-170) a composite number? True Is 10/(-40) + (-768464)/(-64) composite? False Suppose 0 = -3*z + y - 34, -29*z = -26*z - 3*y + 42. Is (-21)/(-7 - z) - -636 a prime number? False Let o be (5 - -48)/((-1)/(-6)). Suppose 52*k - 7*k - 135 = 0. Suppose -o = -g - k*p, -12*p + 899 = 3*g - 14*p. Is g prime? False Let o(s) = 56*s**2 - 12*s - 39. Let f be o(12). Let h = f + -4288. Is h composite? False Let u(y) = -11339*y + 15. Let n be u(2). Let z = n + 33698. Is z a composite number? True Suppose -9*l + 14*l - 295435 = 0. Suppose 57*c = 64*c - l. Is c prime? False Suppose -160*z = -143*z - 821287. Is z a composite number? False Suppose 14*q - 17781 = 62537. Is q prime? True Let l(k) = -785*k - 17. Let h be l(-6). Suppose -h = -3*f + x, 3*f + f + 4*x - 6236 = 0. Is f a prime number? False Let i(u) = 6276*u**2 - 118*u + 459. Is i(4) a composite number? False Suppose -2*i + 625466 = -5*f, 5*i + f - 2*f = 1563665. Is i composite? True Suppose 3*b - 29039 = -x, -4*x - 12427 + 2743 = -b. Suppose -19344 = -32*h + b. Is h a composite number? False Is (-5)/(-2)*82004/130 prime? False Let i(s) = -1034*s**3 + 4*s + 3. Let q = 239 + -241. Is i(q) prime? False Let d be ((-1)/5)/1 - 442/(-85). Suppose -h + d*h + 2907 = u, 5*u - 14627 = -3*h. Is u a prime number? False Let g(x) = -39*x - 58. Let h(v) = -13 + 28 - 3*v - 18 - 19*v**3 + 6*v. Let t be h(1). Is g(t) a composite number? False Suppose -1824000 = -22*x + 1256198. Is x a composite number? False Let c be 70/(-105)*(1 - (-34)/(-4)). Is ((22105/1)/c)/1 a prime number? True Is 2/(-14) - -3496998*(-15 + (-1272)/(-84)) a composite number? False Let l be (2 + 20/(-15))/((-2)/123). Let v = 45 + l. Suppose -1854 + 362 = -v*i. Is i composite? False Suppose 0 = 4*y + 2*r - 38888, 24359 = 5*y - r - 24244. Suppose 2*n - z = y, 0 = -2*n - 0*n + 5*z + 9717. Is n composite? False Suppose -5*l + 573010 = 5*o, -5*o + l + 461051 + 111977 = 0. Is o a composite number? True Let t be (15/2 + -7)*-970. Is (t*93)/(-5) - -8 a composite number? False Is (70/5 - -130607) + 10 a prime number? True Suppose 14*n - 5130 = -5*n. Is (
{ "pile_set_name": "DM Mathematics" }
? 61 Evaluate (-20 - (25 - 22)) + 7 - -54. 38 Evaluate 17 - (-54 - -53 - -47). -29 119 + (-20 - (72 + -82 + (1 - 2) + 1)) 109 Calculate 52 - ((-2 - 2) + (2 + -29 - (138 + -161))). 60 (-7 - -94) + -7 + 86 + -85 + (2 - 8) 75 What is (2 - (7 + 5)) + (6 + -3 + -11 - -35)? 17 What is the value of -97 - (-228 - -1) - 48? 82 Evaluate -45 + 17 - -13 - -16 - -51 - (-1 - 0). 53 What is the value of -14 + (9 - -11) - 116 - -41? -69 Evaluate 21 - 32 - -20 - (17 - 0). -8 Calculate (169 - 155) + 114 - 188. -60 Evaluate (1198 - 1195) + (1 + -1 - 43). -40 Evaluate -10 + -32 + 4 - (473 + -524). 13 149 - (15 - (-88 + 46)) 92 Evaluate 36 + (3 - 35 - (18 - -10 - 38)). 14 Evaluate (12 - (-28 + -27)) + -48. 19 What is the value of (-1 - (-1 + 57)) + 231 + -200 + -4 + -34? -64 What is -2 + 1 + (24 - 32) + (284 - 274)? 1 Calculate 6498 + -6270 - (-2 - -137). 93 -1106 + 1167 - (-21 + (4 - (2 + -2))) 78 Calculate -7 + -21 + (-22 - -18) + 11. -21 Calculate (-5 + 9 - -9) + -12 + 5 + (-11 - -14). 9 Evaluate 2 - (1 + 20 + -452 + 472). -39 What is -245 + 246 + 39 - (27 + 0)? 13 -6 + (-5 - 1) + 0 + 3 + 1000 + -1013 -22 14 + ((9 - 14) + -13 - -28) 24 Calculate (-32 - 3) + -729 + 746 + 27. 9 60 + -13 + (-24 + -23 + 36 - -4) 40 What is the value of (100 - 158) + 83 + (3 + -4 - 2) + -1? 21 1 + -62 + (18 + (-2 - 0) - (30 - 9)) -66 What is (-4 + 32 - 27) + (36 + -1 - 4 - 3)? 29 What is -7 - (-31 + (8 - 15) + 12 + (-5 - 1))? 25 What is the value of -12 + (28 - -9 - (-3 - 1 - -23))? 6 What is (-10 + 28 - 30 - 4) + 60? 44 What is 41 + -177 + 37 - -58? -41 What is 2 + (-1 - 8) - (-266 - -249) - -38? 48 Evaluate (21 - (18 - 5) - -6) + -2 + 2 + -5. 9 What is the value of 222 + -232 + (3 + -4 - -6) + 5? 0 Evaluate -442 - -396 - (-2 + -114). 70 What is 74 - (111 + -54 + -11)? 28 (27 - (-123 - -7)) + -11 - 35 97 What is the value of 19 - (-18 + 68) - 21? -52 Calculate -111 - -22 - (-54 + -18). -17 What is the value of 89 - (-40 - (66 - 120))? 75 Evaluate -140 + -9 + -1010 + 1027. -132 Calculate 2 + -8 + 33 - (41 - (37 - -1)). 24 5 - (4 + -3 + 68 - (20 + -41 + 10)) -75 What is the value of (-8 - -10) + (-5 - -3) + -25 + 19 - -66? 60 Calculate (2 - (20 - 8)) + (17 - (32 + 61)). -86 What is -84 + -81 + 176 - (-3 + -71) - -20? 105 (4 - 9) + -95 - (484 + -468) -116 What is (-21 + (-10 - (-7 + -12)) - -51) + -2 + 1? 38 What is the value of -20 + (-2 + -1 - -27) - ((2 - 1) + 39)? -36 (29 - 45) + (43 - (22 - 10)) 15 Evaluate 13 - (-3 - (4 + 12)) - (0 - (-4 - -10)). 38 Calculate 7 + -8 - (9 - ((-6 - -8) + -7)). -15 -52 + 8 + (1 - 1) + (8 - -2) -34 10 - 2 - 5 - (7 - (-7 + -2 + -3)) -16 Evaluate -147 + 60 + 65 - 19. -41 What is 13 - (-12 + (0 - (9 + -5)) + 2)? 27 (9 - -2) + (35 - 69) + 10 - 5 -18 What is 112 - 23 - (194 - -11)? -116 Evaluate 6 + -12 + 3 + 1 + 3 + (-13 - -1). -11 Calculate 38 + (0 + 12 - 204) - -10. -144 Evaluate 45 - (78 - 70 - 14). 51 What is -48 + -1 + -26 + (108 - 58)? -25 Calculate -23 + (21 - 5) + 66 - (0 - -16). 43 Calculate 2 + -11 + (-224 - (-180 - -66)). -119 Evaluate (-133 - 15) + (-23 - (13 + -52)) + -1. -133 Evaluate -58 - ((15 - (36 + -8)) + (-2 - -9)). -52 Evaluate -22 + -13 + 28 + -12 + 9 + -7. -17 Calculate 23 - 79 - (102 + -55 - 28). -75 Calculate -80 - (-29 + (-20 - -92) + -35). -88 What is -2702 + 2694 - (1 + -5 + -27)? 23 What is the value of 7 + 1 - (464 - 525)? 69 -11 + (-77 - -57) + (7 - -4) -20 Evaluate 10 + (-39 - (59 - 142)) + (-4 + -7 - 4). 39 Calculate -55 - -31 - (-18 - -33). -39 What is 22 - 37 - 12 - (0 + -5 + 1 + 3)? -26 What is (0 - -48) + 1 + (-23 - (-116 - -106))? 36 What is -16 + -41 + 219 - 32? 130 -10 - (119 + -84 + (26 - 1)) -70 -27 + (-3 - (36 + -20) - -4) -42 Evaluate (31 - 76 - -35) + (-1 + 6 - 0) + 8. 3 What is (33 - (18 + (-15 - -4))) + -5 + (-10 - -9)? 20 What is 7 + -8 + 2 + (-6 - -2) + -8? -11 What is the value of (10 - ((-1 - 6) + 7)) + 37 + -1 + 11? 57 Calculate (737 - 765) + -2 + 25 + (-1 - 0 - 1). -7 What is the value of -5 - (-11 + (17 - -2) - -7) - (-7 - 0)? -13 Evaluate 4 - 5 - (-74 + 0) - (-36 - -45). 64 Evaluate 2 - -1 - (-58 + -43 + 137). -33 Calculate -60 - (-18 + 6 - 39). -9 What is 19 + (-24 - (-13 + 11 + -13)) + 1? 11 What is (-23 - -9) + (-1 - (4 - 2)) + 13 - -56? 52 What is 25 + 44 + -8 + -13 + -1 + -2? 45 What is the value of -79 + (999 - 959) + (6 - 0)? -33 Calculate (-2 - 6) + (31 + 9 - -45). 77 (7 - (4 - 3 - 0)) + (1050 - 976) + 8 88 What is 115 + -33 + (7 - 65) + 6? 30 What is -2 + 21 + 495 + -398 + -40? 76 Calculate (-16 - 6) + -18 + 4 - -21. -15 Calculate 7 + (-2 - (15 + -14 + 0)) + -2 + -15. -13 What is the value of 2 + 7 + (3 + -4 - 15 - 30 - 11)? -48 What is the value of 139 + -27 + -74 + 31? 69 Calculate -134 + 10 + -188 + 329. 17 (197 - 233) + (2 - -44) 10 What is (581 - 591) + (5 - (4 - 41))? 32 Evaluate (2190 - 2209) + (-2 - -35). 14 32 - ((20 - 15 - (22 - 10)) + 4) 35 Calculate (12 - 9) + -8 - (-9 - (2 + 0 + -80)). -74 What is the value of -22 - (-70 + 6) - -19? 61 What is 29 + 84 + -105 - (2 + 9)? -3 Evaluate (-6 - (1 - 4)) + (20 - 21). -4 What is (-2 - 22) + 157 + -77 + -48? 8 -3 - -21 - (34 - (26 + -4)) 6 Calculate -13 + 7 + -45 + -12 + 23 + -12. -52 What is the value of 17 - (-14 + 12 + -25 - -116)? -72 Evaluate 7 + (-283 + 289 - (20 - -1)). -8 What is -70 + 75 + 2 - (115 + -4)? -104 Evaluate (14 - 1) + (59 - (22 + -38 + 65)). 23 What is the value of -7 - (6 - -9 - 6) - (-14 + (-2 - -6))? -6 Calculate 69 - (650 + -634 - (-27 - 3)). 23 (-98 - -102) + -3 - (1 - (-1 + -69)) - -9 -61 Evaluate 166 + 33 + -118 - (-1 + 27). 55 What is the value of (-24 - -29) + 2 + 22 + (-10 - -7)? 26 What is 4 + 0 + (-2 + -4 - (-1 + 0)) + -26? -27 What is 62 + 66 + -110 - 81? -63 (91 - 129) + -5 + -56 -99 Evaluate -75 + 61 - (-4 + 4 + -9). -5 Evaluate -25 - (17 - (-2 + 21 - 13) - 9). -27 -18 + (0 - -17) + -14 - -1 -14 6 + -26 + -78 + -71 + 156 -13 Evaluate (4 - (7 + -4 + 3)) + (-93 - (-34 + -2)). -59 Calculate (14 + -25 - -22 - -5) + 3. 19 What is 0 - 143 - (-2186 + 2090)? -47 What is the value of (3 - (-170 + 173 + 9 + -3 + 2)) + -10? -18 Calculate -49 - (-92 + (146 - 75)). -28 Evaluate (1 - 27 - (-325 - -319)) + 13 + -2. -9 Evaluate -119 - (-67 - (265 + -136)). 77 Calculate -3 + 16 + -8 + (-55 - 32) + 21. -61 -107 + 113 - (-1 - (-14 - 26)) -33 Calculate (-10 - (-42 + 3)) + -42. -13 What is 80 + (-74 - -79 - 78)? 7 What is the value of (-179 - -167) + 13 + 3? 4 (-56 - -42) + (6 - (-8 + 4)) -4 What is the value of 3 - (-72 - (41 - 81))? 35 -45 + 88 + -6 + -41 + 12 + 1 9 Evaluate -8308 + 8308 - ((3 - -2 - (-1 - 0)) + -3). -3 (21 - 15 - 14) + -12 + -49 -69 4 - 51 - 4 - ((12 - 21) + 22) -64 What is 86 + (-72 + -18 - -85)? 81 13 - (-29 + 1 - -7 - -12 - -14) 8 What is -10 + -19 + (22 - -2) + 11? 6 86 + -104 + 11 + 105 98 Evaluate 16 + (7 - 21) - 8 - 20. -26 Evaluate -46 + -25 + (83 - 50). -38 What is the value of -12 + 0 - ((-22 - -70) + -49)? -11 What is 26 - (-29 - (-54 + -54))? -53 Calculate 26 - (0 + 113) - (-4 - 3). -80 Calculate 59 - ((23 + 4 - 50) + 49). 33 Calculate (14 - 2) + -181 + 147 + 8 + -9. -23 -36 - -4 - (4 + -27 + 9) -18 Evaluate (2 - -13) + -9 + -31 - -14. -11 Calculate -39 + (122 - 26) + -46. 11 What is the value of -45 + 30 + (-8 - (-27 + 42))? -38 -18 - (-3 + -8 + 10 - 43) 26 Calculate -22 + 39 + -25 - ((10 - 5) + -30). 17 Calculate 3 + 47 + -8 + -29. 13 -59 - (-18 + -5 + (-1 + 7 - -14)) -56 Calculate (1 + 54 + -47 - (14 + 0)) + 13. 7 Evaluate (-2 + 0 - 30) + 782 + -797. -47 What is 64 - (49 - 9) - 39? -15 What is (16 - 2) + -33 + (4 - (37 + -23))? -29 8 - (-23 + 33 + 3 - (1 + -19)) -23 What is the value of -48 + 20 + -7 - (33 + 10)? -78 (-3 - 18) + 24 + -2 + 7 + (-9 - 48) -49 What is -5 + (-26 + 89 - 107)? -49 What is the value of -54 + 73 + -84 + -37? -102 (4795 - 4874) + (1 - 2) + -21 -101 Calculate (-447 - -286) + 63 - (0 + 46). -144 What is the value of 18 - (-54 - (55 + -147))? -20 What is the value of -11 - (-6 + -2 + (271 - 352) - (4 + -14))? 68 What is (-11 + (-3 - -1) - -3) + (-54 - -61)? -3 Evaluate -61 - 1 - (-16 - (14 - 33) - (-16 - -17)). -64 What is -6 - (-11 + 19) - (-2 + 10 + 8)? -30 What is 137 + -130 - (-4 + -5 + -4 - (-1 - -4))? 23 (46 - (6 - -20)) + 57 77 What is the value of -38 + 98 + 24 - 53? 31 What is the value of 3 - (7 + -42 + 56)? -18 What is 1 - (-11 + (-24 - -8 - (8 + 3)))?
{ "pile_set_name": "DM Mathematics" }
15 - -13121? 12502 In base 10, what is -5 + 673293? 673288 In base 7, what is -5334033 - -5? -5334025 In base 15, what is 1 + 590b? 590c In base 8, what is 161375 - 10? 161365 In base 7, what is -111 + 5455? 5344 In base 15, what is a - 1eb9b? -1eb91 In base 9, what is -571 - 14202? -14773 In base 2, what is 1101101100 - -1111100111? 11101010011 In base 9, what is 1153287 - 2? 1153285 In base 2, what is 1001001101111110 - 1001100? 1001001100110010 In base 14, what is -125c13 - 5? -125c18 In base 14, what is -2 + 20c8? 20c6 In base 4, what is -1011112 - 2331? -1020103 In base 14, what is 6 - -a41? a47 In base 10, what is -23 + -6133? -6156 In base 3, what is -12002222 - -1210? -12001012 In base 5, what is -103313 - -4? -103304 In base 13, what is 14b6 - 56? 1460 In base 9, what is 63672 - -1? 63673 In base 10, what is 176054 - 4? 176050 In base 16, what is 8994 + 6? 899a In base 10, what is 380823 - -4? 380827 In base 11, what is a521 - -3? a524 In base 6, what is -212 - -511? 255 In base 16, what is -17d1 + 7? -17ca In base 15, what is -4 + -d74b? -d750 In base 12, what is -61076 - 25? -6109b In base 9, what is -1266237 + 2? -1266235 In base 4, what is 13 + 1122332? 1123011 In base 16, what is -171f - -4? -171b In base 10, what is -3 + -149214? -149217 In base 16, what is -dae0 + -10? -daf0 In base 6, what is 40 + -13451? -13411 In base 6, what is -255 - 15? -314 In base 10, what is 4 + -1234? -1230 In base 9, what is 4500 + -364? 4125 In base 16, what is -8ba0 + 5? -8b9b In base 5, what is -102 - -322332? 322230 In base 13, what is -6c + 6210? 6171 In base 5, what is 12032 - 212? 11320 In base 6, what is 0 + 5002523? 5002523 In base 9, what is 3 + 75473? 75476 In base 2, what is 1000100100100011 - -10011? 1000100100110110 In base 14, what is -15530 + 3? -1552b In base 14, what is -1a00 + a? -19d4 In base 13, what is -14c7c - 6? -14c85 In base 13, what is 49ba2 + -2? 49ba0 In base 5, what is -204320 - -31? -204234 In base 8, what is 4 + -105424? -105420 In base 5, what is 221404 + -3? 221401 In base 9, what is 352627 + 2? 352630 In base 2, what is 1101011100110011111111 - 10? 1101011100110011111101 In base 14, what is 2db1 - 2? 2dad In base 13, what is 3 + -70111? -7010b In base 10, what is -433 + -67? -500 In base 9, what is -4 + 13170? 13165 In base 13, what is 6ba - -6? 6c3 In base 3, what is 10 - 111221110? -111221100 In base 7, what is 22444 - -41? 22515 In base 5, what is 13443 + -44041? -30043 In base 6, what is 1505332 - -10? 1505342 In base 5, what is -234 + 2111321? 2111032 In base 14, what is 0 + 68559? 68559 In base 14, what is 37b4 - 1? 37b3 In base 15, what is e63 + -24d? c15 In base 9, what is -3600 - 13? -3613 In base 2, what is 10001001001101110011 - 1? 10001001001101110010 In base 15, what is 6714 - -12? 6726 In base 11, what is 36 + -3417? -3391 In base 7, what is 66 + 31325? 31424 In base 8, what is 3 - -10447? 10452 In base 7, what is 0 - -14414420? 14414420 In base 9, what is -111318 - -3? -111315 In base 15, what is 4d + -d6? -88 In base 3, what is -1011122101 - -10? -1011122021 In base 4, what is -23220002 - 10? -23220012 In base 2, what is 11111100010 + 11010111000? 111010011010 In base 16, what is -5 - -2c1c? 2c17 In base 4, what is 22123232031 - 0? 22123232031 In base 12, what is 1bab - a? 1ba1 In base 4, what is -10 + 102210331? 102210321 In base 4, what is 10010 - 101? 3303 In base 7, what is 243 + 36220? 36463 In base 8, what is 11606 - -272? 12100 In base 11, what is -58 - -7311? 7264 In base 3, what is -2 - 1012022002? -1012022011 In base 14, what is 2cc + -3? 2c9 In base 6, what is -1544241 - 0? -1544241 In base 13, what is -38b1473 + 4? -38b146c In base 5, what is -4000 + -100? -4100 In base 14, what is 6 - -5c3? 5c9 In base 10, what is -40 + -864? -904 In base 6, what is -21 + 210? 145 In base 10, what is -551797 - 2? -551799 In base 3, what is -1212220 - -211? -1212002 In base 14, what is -4 + -28129? -2812d In base 2, what is -10010001001011111110 + -11? -10010001001100000001 In base 2, what is 110110001101 + -100000? 110101101101 In base 15, what is -5 + -5511? -5516 In base 11, what is -1940 - 8? -1948 In base 8, what is -3533 - 2730? -6463 In base 14, what is -c4974 + 0? -c4974 In base 6, what is -24340 - -1135? -23201 In base 9, what is 3 + 11365? 11368 In base 14, what is 91 - -68? 119 In base 9, what is -635 - 40? -675 In base 6, what is -3210 - 2002? -5212 In base 3, what is 120 - 101211? -101021 In base 2, what is -11000110101101011 - 1011000? -11000110111000011 In base 16, what is -4 + -25a77? -25a7b In base 10, what is -1207782 - 1? -1207783 In base 13, what is -4 + 1a33a0? 1a3399 In base 15, what is -104 - -63? -91 In base 14, what is -4 + -3a57? -3a5b In base 3, what is -2 + -1000200022220? -1000200022222 In base 9, what is 63122 + 4? 63126 In base 12, what is -6b80 - 64? -7024 In base 4, what is -21231 - -10302? -10323 In base 3, what is -101221002212001 - -12? -101221002211212 In base 5, what is -1143230 + -221? -1144001 In base 13, what is 448 + 1984? 20cc In base 13, what is -85ab0 - 7? -85ab7 In base 5, what is 22200 - 1103? 21042 In base 8, what is 4344 + 45? 4411 In base 9, what is 2703562 - -5? 2703567 In base 14, what is 5 - -d269b? d26a2 In base 12, what is 5321 + 6? 5327 In base 10, what is 3 - -9418? 9421 In base 10, what is -4 - 15364? -15368 In base 16, what is 5e2ee + 0? 5e2ee In base 3, what is -110111 - 22111? -202222 In base 3, what is 1 - -10212200010? 10212200011 In base 12, what is -98 - -2b111? 2b035 In base 5, what is 114 + 1441412? 1442031 In base 15, what is 5 + 13654? 13659 In base 2, what is -1101110001 - 1101011001? -11011001010 In base 4, what is -10103000 - -13320? -10023020 In base 15, what is -5 + a122? a11c In base 7, what is 4553440 - -5? 4553445 In base 10, what is 3 - -6242? 6245 In base 11, what is 5 + -8416? -8411 In base 13, what is 4 - 255c? -2558 In base 11, what is -4 + -6126a? -61273 In base 5, what is 2143 + 1014? 3212 In base 4, what is -312231 - 12? -312303 In base 11, what is 0 - 998? -998 In base 3, what is 11 + 101120100? 101120111 In base 9, what is 1286258 + -3? 1286255 In base 13, what is 2 + -20b25? -20b23 In base 7, what is -36 - -1146? 1110 In base 4, what is 11 - 110212003? -110211332 In base 14, what is -1aadd + -2? -1ab01 In base 14, what is -2 - -123a7b? 123a79 In base 2, what is 11100001000011011 - 100? 11100001000010111 In base 12, what is a834 - 3? a831 In base 14, what is 4 - 9b54? -9b50 In base 11, what is 651 - 23? 629 In base 7, what is -2 + -101064? -101066 In base 9, what is 0 - -242426? 242426 In base 8, what is 37 - 436? -377 In base 16, what is -3a - 1058? -1092 In base 9, what is -2 + 23246? 23244 In base 11, what is 4 + -294274? -294270 In base 8, what is 22 - 34244? -34222 In base 8, what is -4 - -6203011? 6203005 In base 15, what is -4490d - 0? -4490d In base 16, what is 817 - -23? 83a In base 3, what is -20002 - -122212? 102210 In base 9, what is 224 - -427? 652 In base 14, what is -3 - 30992? -30995 In base 14, what is -b - 4c8? -4d5 In base 13, what is c6 - 314a? -3054 In base 11, what is -1aa + -2727? -2926 In base 14, what is 84 + -1d3? -14d In base 16, what is 1 + -30417? -30416 In base 13, what is -89980 + -1? -89981 In base 7, what is 36425 + -205? 36220 In base 7, what is 162 - 11? 151 In base 6, what is 420542 - -23? 421005 In base 9, what is 1144481 - 1? 1144480 In base 2, what is 10011100011111001 - -10110? 10011100100001111 In base 16, what is 3f62 + -2? 3f60 In base 10, what is 1706 - -3? 1709 In base 13, what is 11 + -91c76? -91c65 In base 3, what is -101 + 222201020122? 222201020021 In base 3, what is -10 - -20222011210? 20222011200 In base 8, what is 2 + -13367? -13365 In base 7, what is 1131636 - 5? 1131631 In base 3, what is 101 - 1020212221? -1020212120 In base 15, what is -6 + -30ea? -3101 In base 15, what is d47 + 7? d4e In base 4, what is 11023122 + -202? 11022320 In base 2, what is 10 + -10001111010100010? -10001111010100000 In base 14, what is 4442 - 4? 443c In base 6, what is 4 - -122214? 122222 In base 14, what is -1573 + -534? -1aa7 In base 14, what is 85798 - -5? 8579d In base 13, what is 0 + -c18? -c18 In base 12, what is -1040 + -733? -1773 In base 5, what is 4 + -1303? -1244 In base 6,
{ "pile_set_name": "DM Mathematics" }
31*y**2 - 97 - 73*y**2 as t*y**3 + g + n*y + f*y**2 and give t. 19 Express (-3 + 1 + 4)*(0*p - 2*p + 3*p) - 1 + 1 + 2*p + (27*p - 11*p + 16*p)*(-21 + 34 - 26) in the form a*p + u and give a. -412 Rearrange 879*f**3 + 4948 + 4*f - 2488 - 2460 to p + c*f**2 + t*f**3 + q*f and give q. 4 Rearrange (-z**2 - 3*z + 3*z)*(1 - 1 + z**2) + (72*z**2 - 72*z**2 + 9*z**3)*(76*z - 18*z - 23*z) to the form w*z**3 + j*z**2 + s*z + x*z**4 + g and give x. 314 Rearrange 2 - 12*r**3 - 28220*r + r**4 + 0 + 28226*r to the form l*r**4 + a*r + s*r**3 + u*r**2 + o and give l. 1 Express (-2*s**2 + 2*s**2 - s**2)*(-16 - 43 - 17)*(1 - 1 - 2)*(3 + 2 - 4)*(-160*s - 130*s + 8*s) as x*s + g*s**3 + h*s**2 + w and give g. 42864 Rearrange (-h - 7*h + 0*h)*(-9 + 18 + 1)*(-1007 + 520 + 561 + 1 + 3 - 2 + (-3 + 2 + 2)*(-3 + 0 + 2)) to the form d + y*h and give y. -6000 Express 57877692 - 57877692 + 25267*f in the form b*f + x and give x. 0 Rearrange 109 - 2*y - 71*y**3 - 106 + y + y to the form u*y**3 + o*y**2 + j*y + i and give u. -71 Express i**2 + i**2 + 20 + i**2 - 8*i**2 + 22*i**4 + 6*i**4 in the form m*i**4 + f*i**3 + r*i + j*i**2 + a and give j. -5 Rearrange ((-2 + 3 - 2)*(3*x + 4*x - 5*x) - 36*x + 202 - 409 + 206)*(0 - 1 - 1)*(-84*x - 9*x + 31*x)*(1 - 4 + 2) to the form f + t*x + i*x**2 and give i. 4712 Express (5411 - 243 + 986)*(2*f - 2*f - 2*f) as v + t*f and give t. -12308 Rearrange 73 + v**2 + 10*v**2 - 55 + 117 + 6*v**2 to s*v + q*v**2 + z and give s. 0 Express 97*g**2 + 148*g**2 - 1061*g**2 as v + x*g + c*g**2 and give c. -816 Express 121*a + 513*a - 90*a in the form y + l*a and give l. 544 Rearrange (3 + 14 + 32 - 3 + 4 + 0 - 6 + 1 + 3 + (-1 - 1 + 3)*(3 + 1 - 5) + 2 - 1 + 0)*(-11*w + 11*w + 4*w**2) to the form l*w + z*w**2 + d and give z. 192 Express -99*p + 1704*p + 2101*p as i*p + q and give i. 3706 Rearrange -30 - 115*k**2 + 35 - 1170*k**2 to the form x + i*k + j*k**2 and give x. 5 Express 0*q + q + q + (743 - 490 - 413)*(-3*q - 2*q + 3*q + (-4 - 6 + 8)*(-5*q + q + 2*q) + 0 - q + 0) in the form v + h*q and give h. -158 Rearrange -2*x**4 - 250 - 242 + 4*x**2 - 250 + 791 to the form i + p*x**2 + u*x + y*x**3 + b*x**4 and give b. -2 Express (-4384*c**3 + 6 - 711*c**3 - 29 + 15 + 8)*(15*c - 10*c - 12*c) as v*c**4 + s*c**2 + i*c + u*c**3 + m and give s. 0 Express (1 + 0 + 0)*(1 + 2*c - 1) - 102 - 54*c + 13*c + 100 + (57 + 145 + 164)*(c + 2*c - 4*c) as a + x*c and give x. -405 Rearrange -229*s**2 - 291*s**2 - 768*s**2 + 1 - 1 - 2 to the form x*s + p + j*s**2 and give j. -1288 Express (2*z + z**3 - 2*z)*(2*z - 3*z + 4*z) + (55 - 55 - 86*z)*(-5*z**3 - 222*z**2 + 222*z**2) as a*z**4 + r + p*z**3 + g*z + c*z**2 and give a. 433 Rearrange 1495 - 1495 + 59*c + (-4 + 4 - c)*(-3 + 6 - 1) - 8*c + 26*c - 4 - 5*c to i + n*c and give i. -4 Rearrange (-11*b - 68*b + 3*b + (-23*b - 17*b + 19*b)*(-5 + 2 + 2))*(2*b - 1 + 1) to the form v*b + f*b**2 + p and give f. -110 Express -92 + 2*w**3 + 4*w + 3*w**3 + 2*w**3 + 93 + 13*w**3 in the form c*w**2 + u + p*w + f*w**3 and give u. 1 Rearrange -105*w**3 - 4*w + 707*w**2 + 326 - 326 + 103*w**3 + 7*w to the form c*w**3 + i + m*w**2 + j*w and give j. 3 Express 1074 - 2838 + 1141 - 2*i as p + u*i and give u. -2 Express -f - 2*f**2 + f + (9*f + 40*f - 3*f)*(-68*f + 40*f + 31*f) as a*f**2 + g*f + c and give a. 136 Express -456*p**2 + 452*p**2 - 1021*p + 6195*p as u*p + w*p**2 + b and give u. 5174 Express (-4 + 2*t**2 + 4 + (9 - 3*t - 9)*(2 - 2*t - 2) - 18*t**2 - 10*t**2 + 21*t**2)*(-16*t - 1 + 1) in the form r*t**3 + g*t + p*t**2 + v and give r. -16 Rearrange -3*g + 11*g**2 + 2*g**4 + 2*g + 2*g**3 - 7*g**2 - 1 - 30*g**2 + 7*g**3 to the form s*g**2 + c*g**3 + y*g**4 + w + f*g and give f. -1 Express (-1 + 6*n + 1)*(9135 - 9135 - 688*n)*(0*n - 3*n + 5*n) as c*n**2 + s*n**3 + o*n + a and give s. -8256 Express 4973*u**3 + 0 + 8*u + 2 - u**4 - 4959*u**3 as o + x*u**2 + n*u + m*u**3 + z*u**4 and give o. 2 Rearrange -252754*y + 53 + 252710*y + 40 to the form p + w*y and give w. -44 Express (-3 + s**2 + 3)*(-4*s - 2*s**2 + 4*s) - 14516011 + 14516011 - 11077*s**4 - 2 + 2 + 2*s**4 as l + y*s + f*s**2 + t*s**4 + x*s**3 and give t. -11077 Express -36*n + 15*n + 0 - 1 + 23*n**2 + 48*n**2 as v*n + s*n**2 + k and give k. -1 Express -651*v**2 + 3*v - 1 + 4*v**3 - v + 305*v**2 + 253*v**2 + 8*v**3 in the form n*v**3 + b*v**2 + d*v + s and give s. -1 Rearrange -1907*t**3 + 958*t**3 - 2*t + 953*t**3 + 6 - 2 - 2*t**2 to a*t**3 + p*t**2 + v*t + r and give a. 4 Express 61 + 4289*q**2 + 1996*q**2 - 61 - 1614*q**2 in the form i*q**2 + x + o*q and give i. 4671 Rearrange -98709*f**2 + f**3 + 33*f + 98698*f**2 - f**3 + 2*f**3 to the form i*f + j*f**2 + w*f**3 + z and give j. -11 Express (-2 + 1 + 2)*(-5596 + 1026*m + 5596) as b + k*m and give k. 1026 Express -4 + 145316*c**4 + 4*c - 4*c - 145403*c**4 + 2*c**3 + 2*c**2 as m*c**2 + d*c + j + s*c**4 + r*c**3 and give s. -87 Express 7917*j - 13445*j - 7010*j - 15498*j - 1802*j as b*j + f and give b. -29838 Rearrange -3*v + 4*v - 49670 + 8*v**2 + 6*v**4 - 2*v + 49672 + 5*v**2 to the form t*v + j + z*v**3 + s*v**2 + i*v**4 and give s. 13 Rearrange (1 + 2*i - 1)*(287*i + 1 + 789*i - 264*i + 1480*i) to the form s*i + w + q*i**2 and give q. 4584 Rearrange -1425*r + 1 + 707*r + 5*r**2 - 3 + 715*r - 6*r**3 to m + l*r**2 + v*r + n*r**3 and give v. -3 Rearrange -1865 + 3724 - 1847 - 8*z**2 to u + w*z**2 + y*z and give w. -8 Express (-14 + 6 - 7)*(131*w + 28 + 29 - 59) as f*w + r and give f. -1965 Rearrange (-955 + 564 + 701)*(6*u + 1 - 1) - 2 + 2 + u to the form o + n*u and give n. 1861 Rearrange 36123*p + 5850533 - 5850533 to the form o + l*p and give l. 36123 Rearrange 2952*f**2 - 212*f**2 - 2 + 2 + 2322*f**2 to d*f + t + o*f**2 and give o. 5062 Rearrange -1426 + 700 + 726 - 26474*t**2 to l*t**2 + n + o*t and give l. -26474 Rearrange (w**2 + w**2 - 3*w**2)*(3961 + 1673 + 4841 + 342 - 1551)*(-5*w + 0*w + 2*w) to g + q*w**3 + h*w + i*w**2 and give q. 27798 Express -17*d**2 - 9*d**2 - 498*d + 23*d**2 + 4*d**2 in the form l*d**2 + z*d + x and give l. 1 Express 11*c**3 + 146*c - 3 - 126*c - 7*c**3 + (1 - 3 - 2)*(-2*c**3 + 4*c**3 - 3*c**3) as p*c**3 + m*c**2 + s + t*c and give s. -3 Rearrange -64*n**3 + 657 + 14*n + 66*n**3 - 664 - n**2 to z*n**2 + d + y*n**3 + i*n and give y. 2 Express -16154 + 227*v + 16154 + (-4 - v + 4)*(1 - 2 + 2) in the form w + f*v and give f. 226 Rearrange 1241*w - 2 - 677*w + 3*w**4 - 687*w - 4*w**4 - w**3 to the form n*w**3 + x*w**4 + v*w + h + g*w**2 and give v. -123 Express (-b + 2*b + b)*(5753*b**3 + 3431*b**3 + 3768*b**3) in the form g*b**2 + a*b + u*b**4 + v + q*b**3 and give q. 0 Express -2626*z - 5510 + 5510 in the form m*z + i and give i. 0 Express 2 + 1 + 41*y - 115*y**2 - 103*y**2 + 212*y**2 + 0 in the form a*y**2 + f*y + t and give a. -6 Rearrange (-3*a + 3 - 3)*(10907*a + 18500*a + 1076 - 1076) to the form l*a + n + x*a**2 and give x. -88221 Rearrange (-i - 63 + 3*i + 62)*((2 + 0 + 0)*(-3 + 0 + 1) + 3 + 4 - 6)*(79*i**2 - 1042*i + 1042*i) to the form o*i + w*i**3 + a*i**2 + z and give a. 237 Rearrange -4*i**3 + 24 + 4 + 3*i**2 - 2*i**4 + 30*i - 31 + 3*i**3 to t + y*i**2 + d*i + l*i**4 + v*i**3 and give l. -2 Rearrange 7 - 19 - 4*x**2 + 2*x**4 + x - 44 + 2*x**3 + 28 to the form i + f*x**4 + o*x + n*x**2 + s*x**3 and give i. -28 Rearrange -5*v - 6*v - 2*v + (0*v + 0*v + v)*(-1 - 1 + 0) + 339 - 151*v + 293*v - 141*v to the form q*v + z and give q. -14 Express 23*c**3 - 72*c**3 + 24*c**3 + 11*c**3 + (23 + 37 + 2)*(-6*c**3 + 3*c**3 + 2*c**3) in the form f + i*c + p*c**2 + k*c**3 and give k. -76 Rearrange (-69*v**2 + 1153*v**2 + 3366*v**2)*(8 - 3*v**2 - v - 6 + 2*v**2) to the form j*v + m*v**3 + x*v**4 + y*v**2 + a and give x. -4450 Express (-35*g - 15*g + 25*g)*(39 - 695 + 981 + 808 + 1282) in the form w*g + s and give s. 0 Express -249*s + 3 + 439*s**2 + 249*s + 417*s**2 + 377*s**2 in the form u + n*s**2 + k*s and give u. 3 Express 10705 + 10698 - 21405 + 626*s as n*s + l and give n. 626 Express 5*h**4 + 72 - h - 24 - h**3 + 2*h**2 - 5 - 18 as i*h**3 + s*h + c + v*h**4 + t*h**2 and give i. -1 Rearrange -3*v**3 + v**2 + 46*v + 4*v**3 + 98*v**2 - 46*v to b + a*v**3 + h*v**2 + n*v and give a. 1 Express -5*l - 4 + 6*l + 2*l**2 - l**3 + 1 + (-1457 + 254 + 62)*(-l + 3*l**3 + l) in the form r*l**3 + t + a*l**2
{ "pile_set_name": "DM Mathematics" }
Are g and q equal? False Let x = -76 + 96. Suppose -2*n - x = 3*n. Let f be (-2)/((-16)/(-22)) - 2. Does f = n? False Let b = -16.7 + 15. Let f = -0.7 - b. Is 170 less than f? False Let n be ((-20)/110 - 434/33)*12/(-8). Is 7 at most as big as n? True Let z be (-1 + -2)*334/(-7348). Let t be (1 - 1)*(-2)/4. Is t at least z? False Let l(p) = 3*p**2 + p - 17. Let g be l(8). Suppose -23*t - 22 = -g. Suppose 3*j = -3 + 24. Is t less than or equal to j? True Let h be 1/(9/(-2)) + 980/(-45) + 24. Let z be (-20)/11 - (-4)/(-22). Which is smaller: h or z? z Let z(v) = -v**3 + 6*v**2 + 8*v - 39. Let u be z(6). Which is smaller: 12 or u? u Let y = -0.0175 + -189.0825. Let v = y + 189. Do 10.7 and v have different values? True Let c be 6/(-20) + 8642/30015. Which is smaller: 0.1 or c? c Let p = -266 - -90. Let w be 0 + p/12 + 2. Let q be -15 - (4 - -11)/(-5). Is q >= w? True Suppose u + 9*f - 5*f + 4 = 0, -4*u + 1 = -f. Are u and 13/76 unequal? True Let r(t) = t**2 - 10*t + 17. Let b be r(9). Let u be (4/10 - b/30)*-3. Which is smaller: u or -3/14? u Let w(c) = -74*c + 4. Let a be w(-1). Let f = a - 78. Is 1/19 at least as big as f? True Let h = -525 + 529. Suppose 0*b = -5*b - 55. Let a be 476/77 - (-2)/b. Is h less than or equal to a? True Let s = 3652127/56 - 65221. Does s = -5? False Let b = 2 - 3. Let k be (1 - 24) + (98 - 79). Which is smaller: b or k? k Let z = 323.416687 - 0.006687. Let a = z + -322. Let u = a + -1.41. Which is greater: -12 or u? u Let r = 82/43 - 418/129. Which is smaller: r or 34? r Let f be (2/3)/((-2)/(-12)). Let t = 747 + -795. Let c be (t/(-20))/f + 18/(-5). Is c <= -10/3? False Let q = -42 - 18. Let l = 2689.2 + -2749. Let r = q - l. Which is bigger: -16/3 or r? r Suppose 2*z - 4*w + 30 = -0*z, 0 = 4*z - 2*w + 48. Let k be 5/(-3)*(z + 8). Suppose s - k*a - 7 = -21, 4*s = 4*a - 8. Which is smaller: s or 3/17? 3/17 Let i(p) = -p**2 + 9*p + 22. Let u be i(10). Let y = 23 - u. Suppose 17*r - y*r = -120. Is r greater than -19? False Let x be (-3)/1 + -415 - (-2 + 5). Is -1/3 bigger than x? True Let z(i) = -8*i - 220. Let d be z(-28). Suppose 3*a + 0*n + d = -n, 6 = -4*a - 2*n. Is -3/31 at most a? False Let d = -687 + 699. Let z = -5 + 7. Suppose -4*j + c = d, 0*j - z*c + 6 = j. Which is bigger: 0.1 or j? 0.1 Let p be ((4 - 11) + 459/54)*(-4)/21. Which is greater: -4404 or p? p Let u = 2430 + -2430.2. Which is smaller: 7.29 or u? u Let m = -170 - -199. Let c = m + -28. Is c smaller than -148? False Let w(a) = 18*a - 408. Let h(n) = 21*n - 409. Let z(y) = 4*h(y) - 5*w(y). Let s be z(59). Which is greater: 52 or s? 52 Let b(u) = 17 - 4 + 18*u + 2*u**2 - 2*u**2 + u**2. Let k be b(-19). Suppose 0 = 6*c - 52 - k. Is c smaller than 15? True Let j = -22 - -23. Let k = 179/3 + -1405/24. Which is smaller: k or j? j Let x = 10624.7 + -10532.7. Let s = 0.6 + -0.4. Is s < x? True Let k be (20/6)/((-14)/84). Let o be (6/(-555))/((-148)/k + -4). Which is smaller: o or -1? -1 Let o(s) = -2*s**2 + 23*s + 43. Let g be o(14). Let a = 85 + -123. Let z = a + 11. Is g bigger than z? False Let k be (-14)/(-11697)*21/(-28). Which is bigger: -1 or k? k Let n = 572017/537 + -6391/6. Which is bigger: 1 or n? 1 Let c(o) = 2*o**3 + 14*o**2 - 87*o + 11. Let v be c(-11). Let l = -19329/64 + 302. Which is bigger: v or l? v Suppose -13*u - 35095 - 110271 = 0. Let l = -190190/17 - u. Which is greater: -6 or l? l Let v(o) = o**2 + 8*o + 15. Let y be v(-6). Suppose 0 = t - 4, -2*g - g + 96 = y*t. Suppose -l - 6*f + f + 10 = 0, -4*f - 16 = 0. Is g greater than l? False Let p be 25*((-19)/(570/(-3114)) - (-2 + -1)). Is 2669 less than or equal to p? True Suppose -2*n = 12*n + 28*n + 65352. Is -1556 at most n? True Suppose 16*o + 54 = 214. Let q be (8/6)/((-20)/(-30)). Let r be (-3)/(-2)*q/(-21)*o. Which is smaller: r or -1? r Let x = 812 + 8046. Do x and 8858 have the same value? True Let c = -10735.9 + 10213. Let n = 523 + c. Which is smaller: n or -20/9? -20/9 Suppose -4*c + 0*c = -8. Let t(k) = -26 + 5 + 2*k - 2*k + c*k. Let y be t(6). Is y < -7? True Suppose 16*x = 87 - 55. Suppose -b + 5*k - 153 = 0, x*k = -2*b - 131 - 151. Which is greater: -145 or b? b Let p(b) = -10*b**2 - 54 + 68 - 2*b - b**3 - 3 + 9. Let c(o) = -o**2 - 6*o - 9. Let z be c(-6). Let r be p(z). Are r and -43 nonequal? False Let q(w) = 3*w**2 - 43*w + 59. Let v be q(22). Let j = v - 584. Which is smaller: j or -27? -27 Let y(n) = -2*n**2 + 6*n + 5. Suppose -2*a + 5 + 21 = 2*c, c = -4*a - 2. Let z = c + -14. Let h be y(z). Is h greater than or equal to 2? False Let f = 1.72277 - 0.15777. Is f at most 0? False Let o = 321 + -329. Let g(x) = x**3 + 6*x**2 - 16*x. Let l be g(o). Which is greater: 3 or l? 3 Let y = 1.19 + -14.59. Let m = -0.3 + 2.7. Let p = m + y. Which is smaller: 2 or p? p Let c = -5.535 + 95.565. Let z = -90 + c. Let w = -0.3 - -0.3. Is z >= w? True Let i = -62.857 - 0.143. Let j = -33973 - -33972.9. Which is greater: i or j? j Let y = 44 + -60. Let t = 50 + y. Suppose 5*n = 2*g - 38, -2*n = 2*n + 2*g + t. Is -10 smaller than n? True Let s = 36561 - 24586. Is s at least -1? True Suppose 103*u - 106*u = -399. Let o = u - 123. Is -5 != o? True Let t(y) = y**3 - 14*y**2 - 9*y - 13. Let u be t(16). Let s = u + -356. Which is bigger: 2/305 or s? 2/305 Let b = 1266 + -16451/13. Let v = 1.04 - 0.04. Which is bigger: v or b? v Suppose -3*n + 17*n = 168. Let b be (1530/n)/(-3)*(-6)/(-3). Which is smaller: -169/2 or b? b Let w = 260/731 + -5066929/14247921. Is 1 > w? True Suppose 28 + 53 = 3*x. Let s(l) = -17*l + 55. Let o be s(3). Let b be (-2*54/o)/(-1). Is x at most as big as b? True Let j = 22347 - 22049. Are j and 4456/15 equal? False Suppose -11*z + 10*z + 183 = -2*c, -5*c = 5. Suppose 5*p + 0*h = 2*h - z, h = 4*p + 146. Which is smaller: p or -38? -38 Let s be ((-132)/(-9) + -11 + -12)/((-47)/(-3)). Is -1 equal to s? False Let w be 4*((28/(-18))/7)/((-136)/153). Which is smaller: w or 60/337? 60/337 Let n be (-4)/(-12) - 130/498. Suppose 43*x + 23*x = 0. Which is bigger: n or x? n Let y = -79 + 37. Suppose a + 2*c + 15 = 0, 1302 = 5*a - 4*c + 1265. Which is smaller: y or a? y Suppose 338 = -4*t - 5*z - 696, 0 = 2*z - 4. Let h = -51891 - -258156/5. Let p = h - t. Is p not equal to 0? True Suppose -20 = -4*n + j, 2*n = -2*n - 4*j + 20. Suppose -1 - 4 = n*z, -4*h = -2*z - 958. Let a = h - 3343/14. Is 0 greater than a? False Let p = -56 - -58. Suppose 5*d + 2*t - 6 = -0*t, -p = -2*d - t. Suppose 4*k + 4*i = 28, 2*k - 9 = 5*i - d. Are k and 12 equal? False Suppose -75*q - 1153724 = 63*q - 327242. Which is greater: q or -5988? -5988 Let m(u) = -153*u**2 + 4*u - 3. Suppose -2*g + 10 = -5*g - 4*v, -18 = -5*g + 2*v. Let x be m(g). Let a = 2443/4 + x. Is 4 >= a? True Let z(m) = -m**3 - 29*m**2 - 15*m - 34. Let t be z(-28). Which is smaller: t or -403? -403 Let d = 181.082 + -181. Let i = d + 0.118. Which is greater: i or -0.23? i Let x be (-1)/5 - ((-858)/65 + 13). Which is smaller: x or 30/107? x Let f = 31.97 + -31.97. Which is smaller: f or 9640? f Let b be (-30 - 0)*174/145. Let a be b/63*3/(-6). Which is greater: a or -205? a Let v be (-18)/(-1 - 5) - (1 - 123). Suppose 127*a = v*a + 2. Is a less than -12? False Let q(d) = d**3 - d + 3. Let p be q(0). Suppose -48 = -15*y + p*y. Suppose 68 = n - 5*t - 2, 0 = -y*n - 3*t + 211. Is n at least as big as 55? True Let r be (40/6 - 1) + (-4)/(-12). Suppose -14 = -4*c + r. Suppose -c*q + q = -4. Which is greater: 2/161 or q? q Let x be 1/(((-4)/(-80)*4)/(-1)). Let q be ((-11)/2 - x) + (-28)/8. Are q and -9 non-equal? True Suppose -o - 184 + 112 = 0. Suppose 3*a - v - 44 = -268, 4*v = -3*a - 214. Let j = o - a. Is 6/5 less than j? True Let l = -17003/6696 - 2/837. Let s = 1421/24 + l. Which is smaller: s or 58? s Suppose 0*b + 5*b + 780 = 0. Suppose 403*x = -r + 407*x - 160, -5*r - 37*x - 743 = 0. Is r equal to b? True Let z(l) = 4*l**3 + 4*l**2 - 20*l + 37. Let x be z(6). Which is smaller: 930 or x? x Suppose 42*f = 17*f + 75. Let x be (-8 + 6)*f + 6. Which is greater: -9/20 or x? x Suppose -4*l + 30074 = -3*j - 70205, -l + j + 25070 = 0. Are l and 25069 unequal? False Suppose 2*p + 3*u = -0*u + 4206, -10526 = -5*p - 2*u. Suppose 3*j - 558 = -p. Let w = j - -8778/17. Which is smaller: 0 or w? 0 Let u = -57.372 + 45.3. Let l = 0.072 + u. Le
{ "pile_set_name": "DM Mathematics" }