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(153) - -1*sqrt(153))))/(-1*sqrt(900)*1 - sqrt(900)))**2*-2.
-51/100
Simplify (4 + (6*(3 + sqrt(80) + (sqrt(5) - -1*sqrt(5))*-1) + (-2*sqrt(180) + sqrt(180))/(-2*sqrt(9)*5))*-6)**2.
76128*sqrt(5)/5 + 188036/5
Simplify (-5*(sqrt(2448) + -1)*-3 - (-2 + 4 + sqrt(1377) + 1)**2) + -5.
-1406 + 126*sqrt(17)
Simplify -4*(4 + sqrt(7) + 5)*4 + -4 + (sqrt(112) + sqrt(112) + sqrt(112)*1)**2*-5.
-5188 - 16*sqrt(7)
Simplify 4 + (sqrt(220)/(sqrt(11) - (sqrt(11) + sqrt(66)/(sqrt(42)/sqrt(7)))))/(5*(sqrt(4) - sqrt(16)) - sqrt(16)/(sqrt(12)/sqrt(3))).
sqrt(5)/6 + 4
Simplify 6*((sqrt(78) + 4*sqrt(78) + sqrt(78))/sqrt(6) + 3*sqrt(13) + 4) - -2*(sqrt(65)/(sqrt(10)/sqrt(2)) + -5*sqrt(637)).
-14*sqrt(13) + 24
Simplify (-4 + 3 + (sqrt(1089)*2 + sqrt(9))/(sqrt(3) + sqrt(48)*2) + 3)**2.
92*sqrt(3)/9 + 637/27
Simplify -4*1*(3*(1*sqrt(425))**2 - (-3 + sqrt(272) + sqrt(17) + -1 + sqrt(68))**2).
-1704 - 224*sqrt(17)
Simplify ((-5*(sqrt(187)*-2*-6 + (sqrt(187) - 2*sqrt(187) - sqrt(187))*5))/((-3*-2*sqrt(77) - sqrt(77) - sqrt(77) - sqrt(77))/(sqrt(112)*2)))**2.
108800/9
Simplify (((sqrt(104)*2 - sqrt(104)) + sqrt(104))*4 - (sqrt(104) + -1*sqrt(104)*-2 + sqrt(104)))/(((sqrt(648)*-1 - sqrt(648)) + sqrt(648))*5) + -1 + 5 + 3.
-4*sqrt(13)/45 + 7
Simplify ((sqrt(72) + (sqrt(72) - (sqrt(72) + ((sqrt(72) - sqrt(72)*1)*4 - sqrt(72)))) + sqrt(72))*4)/((6*-2*sqrt(99))/(sqrt(33)/sqrt(48) - sqrt(11)))*5.
15*sqrt(2)/2
Simplify (6*(4 + (sqrt(99) - (1 + sqrt(99) + -1))) + 1 + (-5*sqrt(99)*2 + sqrt(99))*6)**2.
-8100*sqrt(11) + 289309
Simplify 2*(-5*(sqrt(84) + ((sqrt(84) - (-1*sqrt(84) - sqrt(84))) + sqrt(84) - sqrt(84)))*5)/(sqrt(432)*-1 + sqrt(1200)*2).
-100*sqrt(7)/7
Simplify -5*(5*(5*(1*sqrt(17) - sqrt(17)) + sqrt(17)*2*-2 - (-2 + (sqrt(425) - (0 + sqrt(425))))))**2.
-34500 + 2000*sqrt(17)
Simplify (sqrt(144)/((sqrt(108)*-1)/sqrt(12))*-5)/((-2*sqrt(88)*5)/(sqrt(44)*-4)).
4*sqrt(2)
Simplify 6*(-3 + (sqrt(112) + 1)**2 + 1 + sqrt(112)) - (-5 + (sqrt(56)/sqrt(2)*5)/(sqrt(4) + sqrt(36)*2))**2.
554*sqrt(7)/7 + 4462/7
Simplify 0 + 4*(sqrt(162)*3 + 2)**2 - (sqrt(162)*3 + 0 + sqrt(162) + 2 + (sqrt(162) - 2*sqrt(162))).
405*sqrt(2) + 5846
Simplify ((sqrt(77) - (sqrt(77) + sqrt(77)*2*1)) + sqrt(77) + sqrt(77) - sqrt(77) - (sqrt(77)*-1*2 - sqrt(77)))/(1*(sqrt(847)*-2 - -1*sqrt(21)/sqrt(3))).
-2*sqrt(11)/21
Simplify 0 + ((0 + sqrt(200))*4)**2 + 5 + -1 + sqrt(200) - ((sqrt(200) - sqrt(200)*-2)*3 - 3*sqrt(200)*-3).
-170*sqrt(2) + 3204
Simplify -2*(2*sqrt(384) + sqrt(54)/(sqrt(9) - sqrt(144)))/((sqrt(3) + sqrt(48))*-3 + 6*(sqrt(3) - (sqrt(27) + sqrt(3)))).
94*sqrt(2)/99
Simplify ((sqrt(2052) - -2*-2*sqrt(2052) - ((1*sqrt(2052) + sqrt(2052))*-2 + sqrt(2052)))/(4*(-2*sqrt(3) + sqrt(3)) + sqrt(375)/sqrt(5)))**2.
0
Simplify 6*((4 + sqrt(24)/(sqrt(12) - (sqrt(12) - sqrt(972))) - (4*sqrt(242) + 4))**2 + -5).
623290/27
Simplify ((sqrt(1216) + sqrt(1216) + (sqrt(1216) - (1 + sqrt(1216) + sqrt(1216))) + sqrt(1216) + -2)*5 - (5 + -1 + sqrt(1216) + sqrt(1216)*-2 + 3))**2.
-3872*sqrt(19) + 147620
Simplify (-3 + -4*(sqrt(200) + 0) + (sqrt(200) - (0 + sqrt(200) + -5)) + sqrt(200) + 5*(sqrt(200) + -1) + 2 + -2)**2.
-120*sqrt(2) + 809
Simplify (-4 + 1 + -6*((5 + -2*sqrt(171) - ((sqrt(171) - (sqrt(171) + -2)) + 1)) + -3))**2.
216*sqrt(19) + 24633
Simplify (5 + (sqrt(88)*2*6 - (2*sqrt(88)*1 + sqrt(88)))/(sqrt(48)/(2*sqrt(600))*-2))**2.
-900*sqrt(11) + 89125
Simplify 3 + ((sqrt(14) - (sqrt(14) - sqrt(28)/sqrt(2))*1)/(sqrt(175)*-2 - sqrt(175)))**2 + sqrt(8)/(-3*sqrt(4)) + -5 + (-3*sqrt(2))**2.
-sqrt(2)/3 + 3602/225
Simplify (2 + sqrt(171) + 2 - (sqrt(171) + -2 + sqrt(171)*-2 + sqrt(171)) - (sqrt(171) + 1 + -3 - (sqrt(171) + (5*(sqrt(171)*-2 - sqrt(171)) - sqrt(171)))))**2.
-720*sqrt(19) + 38539
Simplify -6*((3*(4*sqrt(114) - sqrt(114)) - sqrt(114) - sqrt(114))*-6)/(-2*sqrt(726)*-3 - sqrt(726)).
252*sqrt(19)/55
Simplify (-5*sqrt(76)/sqrt(4))**2 + -3 + sqrt(19) + 0 - (sqrt(38)/(4*sqrt(2)) + sqrt(19) + 5*(sqrt(19) + sqrt(684))).
-141*sqrt(19)/4 + 472
Simplify -4 + (-1*sqrt(475) - sqrt(475))**2 + (sqrt(76)/sqrt(4) + -1)**2 + ((sqrt(228) + (sqrt(228) - sqrt(228)*-2))*3)/sqrt(12) + -4.
10*sqrt(19) + 1912
Simplify (-2*-1*4*sqrt(252))/((sqrt(2268) + -2*sqrt(2268) - sqrt(2268))/(2*sqrt(175) - sqrt(175))).
-20*sqrt(7)/3
Simplify 4*(((sqrt(847) + 3)*-1 + (2 + sqrt(847)*-1 - sqrt(847)))*-3 + -5)**2.
-1584*sqrt(7) + 274444
Simplify 3*(-4 + -1 + sqrt(847) + sqrt(847))*-1 - (5 + (1 + sqrt(847) + -1)**2)*3.
-2541 - 66*sqrt(7)
Simplify 2*(-6*1*sqrt(11) + sqrt(110)/(sqrt(30)/sqrt(3)) + -1 - (0 + sqrt(55)/sqrt(5) + 3*sqrt(1584)))**2.
168*sqrt(11) + 38810
Simplify -3 + ((sqrt(255) - sqrt(255)*-3 - sqrt(255))/sqrt(5)*-5)/(-3*sqrt(24)/sqrt(32)).
-3 + 10*sqrt(17)
Simplify 4 + -2*(-4 + 4 + sqrt(176) + sqrt(176) + 0 + (sqrt(176) + sqrt(176) + 0 + 2 - (sqrt(176) + (-4 + (sqrt(176) - sqrt(176)*2) - sqrt(176)))))**2.
-8868 - 480*sqrt(11)
Simplify -3 + ((sqrt(1573) + -5 + sqrt(1573) + (sqrt(1573) - (0 + sqrt(1573))) + sqrt(1573) + 2 + -4 + -3)*6)**2.
-23760*sqrt(13) + 513249
Simplify (4 + (-3*-2*sqrt(1584) - (sqrt(1584) + 5*((-3 + sqrt(1584))**2 - sqrt(1584))))*1)*-4.
-1920*sqrt(11) + 31844
Simplify ((2*(sqrt(2700) - sqrt(2700)*1)*-2)/(4*sqrt(9)*3 + (sqrt(315)/sqrt(5) + sqrt(63))/sqrt(7)))**2.
0
Simplify (5 + (-2*sqrt(475))**2 - (sqrt(475) - (sqrt(475)*-1 + sqrt(475))*1)**2 - (sqrt(475) + sqrt(475)*-2 + -2 - (3 + sqrt(475)*2)**2))*5.
325*sqrt(19) + 16705
Simplify -1 + ((sqrt(1700)*2)**2 + (0 + sqrt(17))*4 + -2 - ((3 + sqrt(612)*1)*1)**2).
-32*sqrt(17) + 6176
Simplify ((0 + sqrt(425))*1 - ((1 + sqrt(17))*-1 + -1*sqrt(425)))**2 + -4.
22*sqrt(17) + 2054
Simplify (-4 + (-1 + sqrt(3) + 5 - (sqrt(9)/sqrt(3) + -5)) - (-3*sqrt(18)*-2)/((2*sqrt(30))/sqrt(5)))**2.
-30*sqrt(3) + 52
Simplify (sqrt(13) + sqrt(208) + -4 - sqrt(1573)*5) + (sqrt(208)*-1 + 5 + -6*(sqrt(208) - (sqrt(208) + -2) - sqrt(208)) + sqrt(208))**2.
-386*sqrt(13) + 7533
Simplify 2*(1 + (((0 + sqrt(1539) - sqrt(1539))*-2 + 4)**2 - ((-3 + 2*sqrt(1539))*-3)**2)) + -5.
-110941 + 1944*sqrt(19)
Simplify (sqrt(500) + -2*sqrt(500)*1 + sqrt(500))**2*2 + (sqrt(125)*-2*1)**2 + (sqrt(125) + 0 + 3)**2.
30*sqrt(5) + 634
Simplify (1*sqrt(88)*2 - (sqrt(88) - 2*2*sqrt(88)))/((-2*sqrt(88)*4 - sqrt(88))/sqrt(11)).
-5*sqrt(11)/9
Simplify -2*(((sqrt(90) - -3*sqrt(90))*-3 + sqrt(90))/sqrt(10))/((sqrt(294)*-6)/sqrt(2)) + -4.
-4 - 11*sqrt(3)/21
Simplify ((1*sqrt(125) + sqrt(125))/sqrt(5))/(sqrt(45)/(sqrt(18)/sqrt(2))) - ((sqrt(5) - (sqrt(500) + -2) - (sqrt(80)*2)**2) + -3).
11*sqrt(5) + 321
Simplify (1*sqrt(126))/(sqrt(18)*1) + (sqrt(175) - sqrt(175)*-1)*-5*5.
-249*sqrt(7)
Simplify -4*(-1 + (sqrt(1584)*1 + 4 + -2 + -2 + sqrt(1584))**2 + 1).
-25344
Simplify (3*-1*sqrt(900) - -1*(sqrt(9) - (sqrt(1089) + 1*sqrt(1089) + sqrt(1089))))/(2*-1*(sqrt(243) + (sqrt(243) - 1*-2*sqrt(243)))).
31*sqrt(3)/36
Simplify (((1*sqrt(120))/sqrt(5))/(sqrt(8) + (sqrt(8) - sqrt(32)/sqrt(4))*2) - (-1*(-2 + sqrt(3)) + (sqrt(3) + -2 + sqrt(3) - sqrt(3)) + 0)) + 1.
1 + sqrt(3)
Simplify sqrt(425) + 4 - (sqrt(68) - (sqrt(68)*-1 + sqrt(68))**2) - (4*(sqrt(153) - (sqrt(153) + 1*sqrt(153) + sqrt(153))) - sqrt(153))/(sqrt(99)/sqrt(99)).
4 + 30*sqrt(17)
Simplify (((sqrt(153) + sqrt(153)*5)*1 - sqrt(153) - sqrt(153))*-3*6)/((sqrt(9) - sqrt(90)/(-3*sqrt(10) - sqrt(10))) + (sqrt(99)*-6)/sqrt(11)).
288*sqrt(17)/19
Simplify (-3 + -4 + sqrt(19) + -3 + 4 - (3 + (-5*sqrt(19))**2 - sqrt(19)*3*3)) + 4.
-480 + 10*sqrt(19)
Simplify ((sqrt(150)/(sqrt(20)/sqrt(4)))/(sqrt(81)/sqrt(3)))/((3*sqrt(128) + sqrt(8))/(sqrt(4) + (sqrt(324) - sqrt(324)*1 - sqrt(324) - sqrt(324)))).
-17*sqrt(5)/39
Simplify (sqrt(114)*1*-3*4*-1)/((sqrt(24) - 1*sqrt(96))/(sqrt(4) - (sqrt(64) + sqrt(64) + sqrt(64)*-2 + sqrt(64) + sqrt(64) + sqrt(64) + sqrt(64)))).
180*sqrt(19)
Simplify (sqrt(77)/(sqrt(33)/sqrt(3)) - (-1 + 2*sqrt(7)) - -1*sqrt(700)*-3*3)**2.
-182*sqrt(7) + 57968
Simplify 4*((1*sqrt(208))**2 + (-6*(sqrt(13) - sqrt(13)*1) - sqrt(13)) + sqrt(13) - -5*(sqrt(26)/sqrt(72))**2)*2.
15106/9
Simplify (sqrt(72)/sqrt(4) - sqrt(18))*6 + sqrt(648) + 2 - ((3 + sqrt(32) + 1 + sqrt(8)/sqrt(4)*4)*-2)**2.
-574 - 238*sqrt(2)
Simplify ((-3*2*(3*sqrt(152) + sqrt(152))*6)/(sqrt(8) + (sqrt(8) - (sqrt(64)/(sqrt(32) + sqrt(8)) + sqrt(8))) - sqrt(96)/sqrt(300)))**2.
88646400/49
Simplify (-4*-1*-1*sqrt(7
|
{
"pile_set_name": "DM Mathematics"
}
|
f 6?
False
Is 59050 a multiple of 25?
True
Is 31 a factor of 518913?
False
Is 1074497 a multiple of 2?
False
Is 5972156 a multiple of 716?
True
Does 497 divide 449834?
False
Is 418984 a multiple of 21?
False
Does 12 divide 3481296?
True
Does 18 divide 451998?
True
Is 69 a factor of 1128094?
False
Is 21 a factor of 337386?
True
Does 41 divide 32036375?
True
Does 831 divide 7527092?
False
Is 3105340 a multiple of 287?
True
Does 31 divide 1790777?
True
Is 4057751 a multiple of 580?
False
Is 12989582 a multiple of 72?
False
Is 814 a factor of 11304832?
True
Is 8 a factor of 166891?
False
Does 594 divide 903474?
True
Does 60 divide 3749220?
True
Does 327 divide 10031305?
False
Is 393 a factor of 154728?
False
Is 4 a factor of 106116?
True
Is 1121362 a multiple of 116?
False
Is 5633836 a multiple of 296?
False
Does 14 divide 13889260?
True
Is 112 a factor of 207590?
False
Does 25 divide 3104200?
True
Does 1345 divide 4306690?
True
Is 267840 a multiple of 240?
True
Is 255 a factor of 326400?
True
Is 14 a factor of 564659?
False
Is 270884 a multiple of 241?
True
Does 11 divide 6023842?
True
Does 83 divide 155685?
False
Is 9 a factor of 2739645?
True
Is 91 a factor of 110603?
False
Is 466114 a multiple of 11?
True
Is 56 a factor of 597296?
True
Is 927380 even?
True
Is 141 a factor of 344604?
True
Is 14 a factor of 98159?
False
Is 25881 a multiple of 79?
False
Is 420495 a multiple of 7?
False
Is 23 a factor of 1934852?
True
Does 53 divide 308672?
True
Does 923 divide 3197272?
True
Does 16 divide 209989?
False
Does 16 divide 6716384?
True
Does 441 divide 161847?
True
Is 32 a factor of 334304?
True
Is 24 a factor of 818928?
True
Is 5232 a multiple of 218?
True
Is 1195746 a multiple of 102?
True
Is 574 a factor of 5088813?
False
Is 92492 a multiple of 19?
True
Does 232 divide 164007?
False
Is 12 a factor of 13631?
False
Does 928 divide 17370304?
True
Is 8 a factor of 3559568?
True
Is 8 a factor of 11208?
True
Is 129 a factor of 302752?
False
Is 19 a factor of 17925462?
False
Is 6 a factor of 162378?
True
Is 22 a factor of 156506?
False
Is 3743304 a multiple of 456?
True
Does 667 divide 2019676?
True
Is 18 a factor of 404397?
False
Is 711 a factor of 2347011?
True
Does 22 divide 34342?
True
Is 11 a factor of 278187?
False
Is 327860 a multiple of 52?
True
Is 678 a factor of 564774?
True
Does 33 divide 201293?
False
Does 108 divide 79812?
True
Does 63 divide 346419?
False
Is 16240393 a multiple of 222?
False
Is 209040 a multiple of 24?
True
Is 10804904 a multiple of 1592?
True
Is 53 a factor of 2041086?
False
Does 181 divide 8507?
True
Does 11 divide 15389?
True
Does 355 divide 209450?
True
Is 34 a factor of 393924?
True
Does 175 divide 114800?
True
Is 1493139 a multiple of 44?
False
Is 10 a factor of 888910?
True
Is 1018 a factor of 1034288?
True
Is 3758447 a multiple of 85?
False
Is 604244 a multiple of 73?
False
Does 35 divide 543181?
False
Is 726 a factor of 869748?
True
Is 77935 a multiple of 347?
False
Does 46 divide 122038?
True
Is 26 a factor of 192357?
False
Does 43 divide 2831354?
False
Is 292640 a multiple of 295?
True
Does 25 divide 378073?
False
Is 3 a factor of 96149?
False
Is 24 a factor of 1344168?
True
Is 435512 a multiple of 8?
True
Does 151 divide 4189252?
False
Is 495645 a multiple of 2?
False
Does 284 divide 802035?
False
Is 20 a factor of 2930356?
False
Is 1773436 a multiple of 13?
False
Does 9 divide 10422?
True
Does 25 divide 13100?
True
Is 315 a factor of 766080?
True
Is 244 a factor of 69166?
False
Is 5 a factor of 1223932?
False
Is 40 a factor of 1822760?
True
Is 363888 a multiple of 126?
True
Is 22 a factor of 121033?
False
Does 13 divide 1812975?
False
Does 18 divide 1099799?
False
Is 16 a factor of 106672?
True
Is 1805546 a multiple of 12?
False
Does 399 divide 7777308?
True
Does 236 divide 6815680?
True
Is 336 a factor of 282576?
True
Does 8 divide 1142193?
False
Is 97796 a multiple of 92?
True
Is 8351478 a multiple of 1503?
False
Does 4 divide 850072?
True
Does 103 divide 322184?
True
Is 40 a factor of 132240?
True
Is 34 a factor of 249342?
False
Does 27 divide 1145054?
False
Is 45 a factor of 322065?
True
Is 10582771 a multiple of 122?
False
Is 423 a factor of 334812?
False
Is 3024338 a multiple of 76?
False
Does 12 divide 1835256?
True
Is 406710 a multiple of 10?
True
Does 141 divide 717820?
False
Is 46 a factor of 2043765?
False
Does 111 divide 5855250?
True
Is 189 a factor of 31238?
False
Is 41111 a multiple of 2?
False
Does 236 divide 1924344?
True
Does 84 divide 20672820?
True
Is 8 a factor of 570174?
False
Does 505 divide 428745?
True
Does 18 divide 41760?
True
Does 67 divide 38667?
False
Is 458 a factor of 3563240?
True
Is 120 a factor of 329089?
False
Is 13 a factor of 6453577?
True
Is 661937 a multiple of 20?
False
Is 67 a factor of 72473?
False
Does 35 divide 98490?
True
Is 387426 a multiple of 78?
True
Does 357 divide 248472?
True
Is 101137 a multiple of 46?
False
Does 50 divide 8182?
False
Does 874 divide 2732441?
False
Is 3995203 a multiple of 36?
False
Is 10540155 a multiple of 31?
True
Is 32651 a multiple of 317?
True
Is 797478 a multiple of 11?
True
Is 25444 a multiple of 4?
True
Does 153 divide 6859836?
False
Does 33 divide 11319?
True
Is 1700520 a multiple of 4?
True
Is 13 a factor of 252661?
False
Is 647 a factor of 400493?
True
Does 6 divide 179392?
False
Is 21 a factor of 135715?
False
Is 524999 a multiple of 2?
False
Does 32 divide 7939680?
True
Is 10460791 a multiple of 24?
False
Is 8 a factor of 228710?
False
Is 109 a factor of 8655441?
False
Does 31 divide 2542310?
True
Does 14 divide 7654199?
False
Does 999 divide 5315167?
False
Is 12 a factor of 5965264?
False
Does 35 divide 9567075?
True
Does 9 divide 887676?
False
Does 56 divide 60872?
True
Is 134 a factor of 84018?
True
Does 5 divide 2058926?
False
Is 22953 even?
False
Is 81 a factor of 327045?
False
Is 17 a factor of 799410?
False
Is 365 a factor of 1056675?
True
Does 22 divide 400846?
False
Is 35626 a multiple of 22?
False
Is 71 a factor of 462707?
True
Does 1233 divide 18116469?
True
Is 358 a factor of 100956?
True
Is 367 a factor of 899616?
False
Is 3230343 a multiple of 16?
False
Is 22 a factor of 1425040?
False
Is 8 a factor of 82166?
False
Does 82 divide 57646?
True
Is 877440 a multiple of 40?
True
Is 300 a factor of 2451000?
True
Is 6 a factor of 121188?
True
Is 4 a factor of 14264?
True
Does 38 divide 233477?
False
Is 238247 a multiple of 163?
False
Does 10 divide 2115480?
True
Does 409 divide 2706264?
False
Is 29 a factor of 303705?
False
Is 12400 a multiple of 31?
True
Is 100 a factor of 912700?
True
Is 92447 a multiple of 6?
False
Is 968 a factor of 3799814?
False
Is 900180 a multiple of 540?
True
Is 167 a factor of 10341976?
True
Is 7 a factor of 17842461?
True
Is 2339140 a multiple of 334?
False
Is 2658167 a multiple of 157?
True
Is 281127 a multiple of 93?
False
Is 206402 a multiple of 46?
True
Does 178 divide 2144371?
False
Is 440627 a multiple of 122?
False
Is 62475 a multiple of 105?
True
Does 5 divide 23027?
False
Is 5181518 a multiple of 494?
False
Is 742161 a multiple of 59?
True
Is 20 a factor of 15760?
True
Is 63118 a multiple of 22?
True
Is 1686180 a multiple of 314?
True
Is 567135 a multiple of 41?
False
Is 174 a factor of 1436544?
True
Does 20 divide 50888?
False
Is 87 a factor of 2199910?
False
Is 141 a factor of 732828?
False
Is 10 a factor of 1555050?
True
Is 12362733 a multiple of 18?
False
Is 360039 a multiple of 43?
True
Is 349 a factor of 108115?
False
Is 4 a factor of 216632?
True
Is 10305 a multiple of 9?
True
Is 4 a factor of 36219?
False
Is 577874 a multiple of 18?
False
Is 103798 a multiple of 42?
False
Is 75160 a multiple of 20?
True
Is 84616 a multiple of 39?
False
Is 179064 a multiple of 32?
False
Is 163 a factor of 540997?
True
Is 389896 a multiple of 299?
True
Is 18 a factor of 392631?
False
Is 24 a factor of 3768?
True
Does 143 divide 11368929?
True
Does 14 divide 288115?
False
Does 91 divide 506597?
True
Does 20 divide 1425618?
False
Is 421730 a multiple of 181?
True
Is 15 a factor of 603285?
True
Is 4555066 a multiple of 302?
True
Does 29 divide 64670?
True
Is 414082 a multiple of 73?
False
Is 10384118 a multiple of 7?
False
Is 12 a factor of 537021?
False
Does 8 divide 127237?
False
Is 42 a facto
|
{
"pile_set_name": "DM Mathematics"
}
|
00009172 rounded to 6 decimal places?
0.000009
What is 0.096166 rounded to 3 decimal places?
0.096
What is 5627 rounded to the nearest 100?
5600
What is -0.0000127 rounded to six decimal places?
-0.000013
Round 40653 to the nearest one thousand.
41000
What is 444.1 rounded to the nearest ten?
440
What is -874900 rounded to the nearest ten thousand?
-870000
Round 0.00055888 to six dps.
0.000559
Round 1228000 to the nearest 100000.
1200000
Round -0.0000433 to six dps.
-0.000043
What is -1803.6 rounded to the nearest 10?
-1800
Round -25.0194 to zero dps.
-25
Round -22415000 to the nearest one million.
-22000000
Round 0.0001069 to 6 dps.
0.000107
What is 68.8296 rounded to the nearest ten?
70
What is -0.2845 rounded to 0 decimal places?
0
What is 585.32 rounded to zero dps?
585
Round 15.886 to one decimal place.
15.9
What is 3866000 rounded to the nearest 100000?
3900000
What is 8287 rounded to the nearest 1000?
8000
What is 22786.4 rounded to the nearest 100?
22800
What is 0.0001712 rounded to 4 dps?
0.0002
Round -43.52 to zero decimal places.
-44
Round -3521000 to the nearest 100000.
-3500000
Round -4969 to the nearest 100.
-5000
What is -41.208 rounded to the nearest 10?
-40
What is 4778000 rounded to the nearest one million?
5000000
What is -0.000003739 rounded to six dps?
-0.000004
What is 1974700 rounded to the nearest 100000?
2000000
What is 2.395 rounded to zero decimal places?
2
Round -760000 to the nearest one hundred thousand.
-800000
Round -0.0002282 to five decimal places.
-0.00023
Round 0.000003447 to seven decimal places.
0.0000034
Round 0.008327 to 3 dps.
0.008
What is -391.35 rounded to the nearest 10?
-390
Round 14890.3 to the nearest 1000.
15000
Round 0.0029 to four dps.
0.0029
What is -0.0000000562 rounded to seven decimal places?
-0.0000001
Round -10710 to the nearest 100.
-10700
What is 0.00040323 rounded to four dps?
0.0004
What is -3266800 rounded to the nearest 1000000?
-3000000
Round 3910.2 to the nearest one thousand.
4000
What is 4.073 rounded to zero decimal places?
4
What is -0.071279 rounded to 4 decimal places?
-0.0713
What is -270 rounded to the nearest 10?
-270
What is -0.0029756 rounded to three decimal places?
-0.003
Round -472400 to the nearest 100000.
-500000
What is 0.048428 rounded to four dps?
0.0484
What is 2063000 rounded to the nearest 10000?
2060000
What is -943450 rounded to the nearest 10000?
-940000
Round -0.00073933 to 6 dps.
-0.000739
Round -0.00007489 to six dps.
-0.000075
Round 3.88 to zero decimal places.
4
Round -2398.2 to the nearest 100.
-2400
What is -719.4 rounded to the nearest ten?
-720
Round -0.01106 to 4 decimal places.
-0.0111
What is -0.000055628 rounded to 6 dps?
-0.000056
Round 0.00679 to four decimal places.
0.0068
What is -17.49 rounded to one dp?
-17.5
What is -1920000 rounded to the nearest one million?
-2000000
What is 0.02655 rounded to three decimal places?
0.027
Round -0.2934 to three decimal places.
-0.293
Round -0.00023697 to five dps.
-0.00024
What is 10415000 rounded to the nearest one million?
10000000
Round -447900 to the nearest one hundred thousand.
-400000
What is -5630 rounded to the nearest one thousand?
-6000
What is 55500 rounded to the nearest 10000?
60000
Round 0.00011598 to 6 dps.
0.000116
Round 2.005 to the nearest 10.
0
Round 360910 to the nearest 10000.
360000
Round -0.0003123 to four dps.
-0.0003
What is -54630 rounded to the nearest one thousand?
-55000
What is -2030 rounded to the nearest 100?
-2000
What is -52.559 rounded to one dp?
-52.6
Round 832 to the nearest 100.
800
What is -41000 rounded to the nearest one thousand?
-41000
Round -41.9636 to one decimal place.
-42
Round -694400 to the nearest 10000.
-690000
Round 5.5 to the nearest ten.
10
Round -1.4317 to 1 decimal place.
-1.4
Round -660000 to the nearest 1000000.
-1000000
Round 2225 to the nearest one thousand.
2000
Round 0.002959 to 4 dps.
0.003
What is 2381.1 rounded to the nearest one hundred?
2400
Round 3.143 to the nearest integer.
3
Round -0.0057314 to 4 decimal places.
-0.0057
What is -5620 rounded to the nearest 100?
-5600
Round 0.00001399 to 7 dps.
0.000014
What is -0.0000005561 rounded to 7 dps?
-0.0000006
What is 3858600 rounded to the nearest 100000?
3900000
Round -12440 to the nearest one hundred.
-12400
What is 835 rounded to the nearest one hundred?
800
Round 0.983 to one decimal place.
1
What is 0.000010231 rounded to six decimal places?
0.00001
What is 0.012294 rounded to 3 dps?
0.012
What is -16.532 rounded to 0 dps?
-17
Round -3570 to the nearest one thousand.
-4000
What is -399.44 rounded to the nearest ten?
-400
Round -126020 to the nearest 10000.
-130000
Round -0.00658 to four decimal places.
-0.0066
Round -0.002657 to four dps.
-0.0027
Round -424.6 to the nearest 100.
-400
Round -151.4 to the nearest integer.
-151
What is 0.00091124 rounded to four dps?
0.0009
What is 0.0003184 rounded to four decimal places?
0.0003
What is -126.93 rounded to the nearest ten?
-130
What is -770000 rounded to the nearest 100000?
-800000
Round 0.005455 to 3 dps.
0.005
What is -388800 rounded to the nearest one hundred thousand?
-400000
Round -241.7 to the nearest ten.
-240
Round -0.0000746 to six dps.
-0.000075
What is 0.00903 rounded to 4 decimal places?
0.009
Round -0.000061117 to 5 dps.
-0.00006
Round 86.8 to the nearest 10.
90
What is -232400 rounded to the nearest 1000?
-232000
What is -0.00048692 rounded to five decimal places?
-0.00049
Round -3.49 to the nearest integer.
-3
What is -2460700 rounded to the nearest one hundred thousand?
-2500000
Round -0.0001216 to five decimal places.
-0.00012
What is 2284.6 rounded to the nearest 10?
2280
Round -0.00002595 to five decimal places.
-0.00003
Round -0.19972 to 3 decimal places.
-0.2
Round -422.4 to the nearest 100.
-400
Round 0.000000804 to 7 decimal places.
0.0000008
Round 70.25 to the nearest 10.
70
Round 15.1225 to 0 decimal places.
15
Round -0.0000201 to 6 dps.
-0.00002
What is 0.001029 rounded to five dps?
0.00103
What is 2.0574 rounded to 2 decimal places?
2.06
What is -0.00014438 rounded to six decimal places?
-0.000144
What is 0.0000006561 rounded to seven decimal places?
0.0000007
Round 0.00000513 to seven dps.
0.0000051
What is 110.828 rounded to 1 decimal place?
110.8
What is -0.423 rounded to the nearest integer?
0
Round -0.0000020127 to seven dps.
-0.000002
What is 9264.4 rounded to the nearest one thousand?
9000
Round 125.11 to zero decimal places.
125
What is -1.256 rounded to the nearest integer?
-1
What is -48796000 rounded to the nearest 1000000?
-49000000
Round -412.1 to the nearest ten.
-410
Round -0.074099 to three decimal places.
-0.074
Round 0.0000961 to 6 decimal places.
0.000096
Round -21.406 to the nearest integer.
-21
Round 0.000001237 to 6 decimal places.
0.000001
What is -50.19 rounded to 0 dps?
-50
Round -13481.4 to the nearest 10.
-13480
What is -24981.2 rounded to the nearest one thousand?
-25000
Round -61600000 to the nearest 1000000.
-62000000
Round 0.00004296 to six decimal places.
0.000043
Round -10426000 to the nearest one million.
-10000000
Round -0.000005237 to 6 decimal places.
-0.000005
Round 0.026794 to four decimal places.
0.0268
What is 157700 rounded to the nearest 10000?
160000
Round -0.000001971 to 6 decimal places.
-0.000002
Round -879 to the nearest 100.
-900
What is 16815300 rounded to the nearest one hundred thousand?
16800000
Round -684 to the nearest 10000.
0
What is 523.32 rounded to the nearest 10?
520
What is -0.000133495 rounded to 5 dps?
-0.00013
Round -23590000 to the nearest one million.
-24000000
Round -0.00007924 to 5 dps.
-0.00008
What is -22936 rounded to the nearest 1000?
-23000
What is -3390.63 rounded to the nearest ten?
-3390
Round -918.7 to the nearest ten.
-920
Round 123676 to the nearest one thousand.
124000
What is 0.0000015215 rounded to 7 decimal places?
0.0000015
What is 5493.5 rounded to the nearest one hundred?
5500
Round 1008000 to the nearest one hundred thousand.
1000000
Round -665.1 to the nearest 10.
-670
What is 0.00005808 rounded to 6 decimal places?
0.000058
What is 9819000 rounded to the nearest 100000?
9800000
What is 0.001492 rounded to 3 dps?
0.001
Round -0.73412 to the nearest integer.
-1
Round 1.6959 to two decimal places.
1.7
What is 1437.19 r
|
{
"pile_set_name": "DM Mathematics"
}
|
6, 42, 3, 5 in increasing order.
-6, 0, 3, 5, 13, 42
Put 3/2, 3, -5472, -0.5, -0.1 in ascending order.
-5472, -0.5, -0.1, 3/2, 3
Sort -1/4, 1, -1, 1/4, 51 in decreasing order.
51, 1, 1/4, -1/4, -1
Put 4, 125, 5, 7, 30 in ascending order.
4, 5, 7, 30, 125
Put -14/27, 2/5, 222.6, 1/5 in descending order.
222.6, 2/5, 1/5, -14/27
Sort -329, 5, 0, -47 in increasing order.
-329, -47, 0, 5
Put -2, 8078, 4 in ascending order.
-2, 4, 8078
Sort 3.7, -1/4, -0.0248, -1/5, 4 in decreasing order.
4, 3.7, -0.0248, -1/5, -1/4
Put -5, 615, 8 in ascending order.
-5, 8, 615
Sort -40, -3/2, -1.04 in ascending order.
-40, -3/2, -1.04
Sort -0.4, -19, -4, -318 in ascending order.
-318, -19, -4, -0.4
Put -1567, -2, -15 in decreasing order.
-2, -15, -1567
Sort 26, -5, -1, -22 in decreasing order.
26, -1, -5, -22
Sort 4, -359, -41, 6 in ascending order.
-359, -41, 4, 6
Sort 4, 173, 6, 0.2, -0.3.
-0.3, 0.2, 4, 6, 173
Put 1909, -2, 21, 4 in increasing order.
-2, 4, 21, 1909
Sort -2, -9, 2, 5, 513 in decreasing order.
513, 5, 2, -2, -9
Sort -5, -1063, -4, 1 in decreasing order.
1, -4, -5, -1063
Put -5, 7, 129, 5 in decreasing order.
129, 7, 5, -5
Sort 51, 0, -4, -3, 102.
-4, -3, 0, 51, 102
Sort 98, -163, 2, 0.1, 0.2, -1.
-163, -1, 0.1, 0.2, 2, 98
Sort -4, -9, 0, 456, 2, 3.
-9, -4, 0, 2, 3, 456
Put 4, -535, -46, 0 in descending order.
4, 0, -46, -535
Sort 3/52, -1/3, 1.7, -1/2 in descending order.
1.7, 3/52, -1/3, -1/2
Put -147, 2, 4, -2, 3, -22 in descending order.
4, 3, 2, -2, -22, -147
Put -61, -2, -364 in descending order.
-2, -61, -364
Sort 23/871, 1/2, 2 in ascending order.
23/871, 1/2, 2
Sort 3, -80, -2/5, -38, -0.3.
-80, -38, -2/5, -0.3, 3
Put -1, -72, -15, -2, 4, -6 in ascending order.
-72, -15, -6, -2, -1, 4
Sort -1/8, -16, 5/6, 322.6, -2/7 in descending order.
322.6, 5/6, -1/8, -2/7, -16
Put -31117, 17, -3 in descending order.
17, -3, -31117
Put 0.2, 0.1, 5/2, -187 in ascending order.
-187, 0.1, 0.2, 5/2
Put 4170, 14, 3, 2/19 in increasing order.
2/19, 3, 14, 4170
Sort 3, -2, 27, -43, 5, 2 in descending order.
27, 5, 3, 2, -2, -43
Put 41, -13, -2, 5, 0 in increasing order.
-13, -2, 0, 5, 41
Sort 0.032, -50, -2.41 in decreasing order.
0.032, -2.41, -50
Sort 13.5, -4/9, 619, 2/3, 3/7 in decreasing order.
619, 13.5, 2/3, 3/7, -4/9
Put -0.1, -13253/5, 0, -2/39 in descending order.
0, -2/39, -0.1, -13253/5
Sort -0.1, 0.4, -7, 1, -0.09 in descending order.
1, 0.4, -0.09, -0.1, -7
Put 0.6, 19, -2/79 in decreasing order.
19, 0.6, -2/79
Put 2, 309, -3, -5 in descending order.
309, 2, -3, -5
Sort 27, 3/2, 0.1, 10, -3 in decreasing order.
27, 10, 3/2, 0.1, -3
Put -3, -3/2, 0, -1/5, -4/7, 24 in descending order.
24, 0, -1/5, -4/7, -3/2, -3
Put 5/2, -2/945, 2/11, 4, 2/9 in descending order.
4, 5/2, 2/9, 2/11, -2/945
Sort 0.3, 7/393, 10.
7/393, 0.3, 10
Sort -1634, 24, -0.11.
-1634, -0.11, 24
Put 13, -118, -9 in descending order.
13, -9, -118
Put 9.6, -315, -9 in ascending order.
-315, -9, 9.6
Put 5, 0.06, -1/5, 2677, 2 in decreasing order.
2677, 5, 2, 0.06, -1/5
Sort 12, 47, 1, 3.
1, 3, 12, 47
Sort 0, 2, 5, -4, -1342.
-1342, -4, 0, 2, 5
Sort 1/12, 1/5, -395, 6, 4, 4/5 in descending order.
6, 4, 4/5, 1/5, 1/12, -395
Sort -494, -5, 2, 51 in decreasing order.
51, 2, -5, -494
Put -0.1, 1, 2198, 0.1, 3 in ascending order.
-0.1, 0.1, 1, 3, 2198
Sort -279, -5, -29, -8 in decreasing order.
-5, -8, -29, -279
Sort 2/5, -4, 58/113, 3.
-4, 2/5, 58/113, 3
Sort 3, -6, -34/5, 1260 in increasing order.
-34/5, -6, 3, 1260
Sort 20, -1796, -2.
-1796, -2, 20
Sort -9, -4/29, 12/5.
-9, -4/29, 12/5
Sort -8, -3, -180, 100 in descending order.
100, -3, -8, -180
Put -134, 2, -1, 100, 3, -5 in increasing order.
-134, -5, -1, 2, 3, 100
Put 0, -1, -109, -2, 4 in decreasing order.
4, 0, -1, -2, -109
Sort -1/2, 0.8, 2/3, -0.1139 in ascending order.
-1/2, -0.1139, 2/3, 0.8
Put 456, 1, -5, 0.03, 0.25 in increasing order.
-5, 0.03, 0.25, 1, 456
Put 143, 10, 0, -2, -3 in ascending order.
-3, -2, 0, 10, 143
Put 7/4, 338, 12 in descending order.
338, 12, 7/4
Put -99, 204, 2, -1 in decreasing order.
204, 2, -1, -99
Put 0, -506, -11 in decreasing order.
0, -11, -506
Sort 286/7, -0.1, 7, 4 in decreasing order.
286/7, 7, 4, -0.1
Sort -3347, 3, -16, -2 in decreasing order.
3, -2, -16, -3347
Sort -1.212, 0.1, -9.
-9, -1.212, 0.1
Sort -3/280, -0.2, 4/7, -2, -10 in increasing order.
-10, -2, -0.2, -3/280, 4/7
Sort -4, -1, 866, 187, 3, 1 in increasing order.
-4, -1, 1, 3, 187, 866
Put 53, -2/33, 1/10, 2/47 in descending order.
53, 1/10, 2/47, -2/33
Put 13, -5, -8, -1, -68 in descending order.
13, -1, -5, -8, -68
Sort -3, 155.56, -2/9 in increasing order.
-3, -2/9, 155.56
Put 0, -2, -115, 3, -4 in increasing order.
-115, -4, -2, 0, 3
Sort 2, 4, -2, -376, 1, -13.
-376, -13, -2, 1, 2, 4
Put 4, -0.5, -5, 2/9, -12.5, -0.2 in descending order.
4, 2/9, -0.2, -0.5, -5, -12.5
Sort -1.04, 3/2, 0, 2.2, 0.4 in ascending order.
-1.04, 0, 0.4, 3/2, 2.2
Put -507, -290, 3 in ascending order.
-507, -290, 3
Put -12829, -0.3, -2/9 in decreasing order.
-2/9, -0.3, -12829
Put 0.101, -63.2, -4/3 in decreasing order.
0.101, -4/3, -63.2
Put 4.8, -1.52, 0 in decreasing order.
4.8, 0, -1.52
Put 4, -0.3, 0.5, -1, -7, 75/7 in ascending order.
-7, -1, -0.3, 0.5, 4, 75/7
Sort 109, 3, 2, -13, 5.
-13, 2, 3, 5, 109
Sort 5, 1, -15, -285 in descending order.
5, 1, -15, -285
Sort -13, 25, -0.1, -3/23 in ascending order.
-13, -3/23, -0.1, 25
Sort -7, 2, -852.
-852, -7, 2
Sort -5, 57, 3, -4, 0, 73 in decreasing order.
73, 57, 3, 0, -4, -5
Put 1/5, -1/5, 0.4, -24, -5 in increasing order.
-24, -5, -1/5, 1/5, 0.4
Sort -2/3, 0.4, -0.1, 0.5, 2650 in increasing order.
-2/3, -0.1, 0.4, 0.5, 2650
Sort 5, 0, 7, 491, 3 in descending order.
491, 7, 5, 3, 0
Put 3, -1, 826, 6, -4 in descending order.
826, 6, 3, -1, -4
Sort 3, -1, 5, -4, 2/13, 244 in descending order.
244, 5, 3, 2/13, -1, -4
Put -5, -223, 11, -2, -1, 1 in descending order.
11, 1, -1, -2, -5, -223
Sort -5, -4, -10, -14, -2, 4.
-14, -10, -5, -4, -2, 4
Put 0.1, 2/13, -629, -3, 1/6, 0.07 in decreasing order.
1/6, 2/13, 0.1, 0.07, -3, -629
Sort -5/4, -0.1, 3/4, 4124, 1 in increasing order.
-5/4, -0.1, 3/4, 1, 4124
Sort -202, 181, 4, 3, 5 in descending order.
181, 5, 4, 3, -202
Put 11, -7, 3, 4, 113 in increasing order.
-7, 3, 4, 11, 113
Sort -8566, 4, -4, 0, 2.
-8566, -4, 0, 2, 4
Sort 1/3, 8613, -1, 0, -2/5 in increasing order.
-1, -2/5, 0, 1/3, 8613
Put -4, -92106, -5 in decreasing order.
-4, -5, -92106
Sort 185122, -1, 5 in decreasing order.
185122, 5, -1
Sort 3, -177, -10, -2, 2, 5 in descending order.
5, 3, 2, -2, -10, -177
Put 5, -39, -9, -1/6, -0.6, -2 in decreasing order.
5, -1/6, -0.6, -2, -9, -39
Put -8, 4.7, 0.4, -0.1, 4/11 in descending order.
4.7, 0.4, 4/11, -0.1, -8
Put 1.2, -3, -187 in increasing order.
-187, -3, 1.2
Put -7, -3, 2, 21, -129 in ascending order.
-129, -7, -3, 2, 21
Sort 1/8, 8, -69/110, 2 in decreasing order.
8, 2, 1/8, -69/110
Sort 2/23, 0.1, -5/6, -2.81.
-2.81, -5/6, 2/23, 0.1
Sort 37, 15, 20.
15, 20, 37
Sort -74, -35, -1, 5 in descending order.
5, -1, -35, -74
Put 30121, -8, 0, 2 in increasing order.
-8, 0, 2, 30121
Sort 471, 5/6, 3.
5/6, 3, 471
Sort -7, -411, 0.1, 2, -2 in increasing order.
-411, -7, -2, 0.1, 2
Put 2, 828, -5, -4, 5 in decreasing order.
828, 5, 2, -4, -5
Put 5, -7, 3/5, -1/8, 2/5, 2/865 in increasing order.
-7, -1/8, 2/865, 2/5, 3/5, 5
Put -1/2, 1/12, -2, -37 in decreasing order.
1/12, -1/2, -2, -37
Sort 404, 808, 5 in descending order.
808, 404, 5
Put -35, 0.6, -1, -142, -1/8 in increasing order.
-142, -35, -1, -1/8, 0.6
Put -3, 536, 3 in ascending order.
-3, 3, 536
Put 2/25, 3, 1/5, -79, 1, 3/2 in increasing order.
-79, 2/25, 1/5, 1, 3/2, 3
Sort -43, 4/5, 1.9, 0.1, -1/9, 4 in increasing order.
-43, -1/9, 0.1, 4/5, 1.9, 4
Sort 46, -77, -5 in increasing order.
-77, -5, 46
Sort -0.24, 19/3, -8 in decreasing order.
19/3, -0.24, -8
Sort 5, -6, -4, 133, -1.
-6, -4, -1, 5, 133
Sort 5319, 7, -1 in ascending order.
-1, 7, 5319
Sort 2, -5, 3, -18155 in ascending order.
-18155, -5, 2, 3
Put 6/7, 1/11, -24, 0 in increasing order.
-24, 0, 1/11, 6/7
Sort -1/2, 1/10, 74, 0.4, 0.06 in ascending order.
-1/2, 0.06, 1/10, 0.4, 74
Put 0, 4/7, 23, 3 in ascending order.
0, 4/7, 3, 23
Put -5, 18, 373 in descending order.
373, 18, -5
Sort 1487, 20, -7.
-7, 20, 1487
Sort -46, -3
|
{
"pile_set_name": "DM Mathematics"
}
|
y - 18*y**2 + 2*y. Determine t(n(x)).
-18*x**2
Let u(h) = 19*h**2. Let w(z) be the first derivative of -z**2/2 - 3. Determine u(w(g)).
19*g**2
Let b(q) be the first derivative of 7*q**3/3 + 5. Let s(y) = -y**2 - 4*y + 2. Let g be s(-4). Let i(c) = 8 - 5 - 3 - 2*c**g. What is i(b(w))?
-98*w**4
Let w(r) = 4*r. Let y(v) = -v - 2. Let n(c) = c + 1. Let l(k) = -2*n(k) - y(k). Determine l(w(h)).
-4*h
Let g(f) = -2*f - 2. Let k(y) = -y - 3. Let t(b) = -3*g(b) + 2*k(b). Let c(m) = -2*m**2. Give c(t(n)).
-32*n**2
Let f(j) = -31*j**2. Let g(h) be the first derivative of h**3/3 - 6. Determine f(g(v)).
-31*v**4
Let z(t) = t**2. Suppose 0 = 2*l - 4*l. Suppose l = 2*u + 3*a + 11, -u = a - 1 + 4. Let h(b) = 3 - 1 - u + b. What is h(z(g))?
g**2
Let g(k) = k. Let f(w) = -8*w. Let m(c) = f(c) + 6*g(c). Let s(l) = -27*l**2. Give m(s(n)).
54*n**2
Let m(g) = 13*g**2. Let b(q) = q**2 - 74. Calculate m(b(j)).
13*j**4 - 1924*j**2 + 71188
Let v(o) = -2*o**2. Let t(d) be the first derivative of d**5/60 - d**3 + 2. Let l(x) be the third derivative of t(x). What is l(v(u))?
-4*u**2
Let d(p) = -4*p**2. Let t(g) = -5*g. What is t(d(j))?
20*j**2
Let c(m) = 9*m. Let l(b) = -34*b**2. Give c(l(k)).
-306*k**2
Let v(o) = -44*o**2 + 9*o + 9. Let n(g) = -11*g**2 + 2*g + 2. Let u(b) = 9*n(b) - 2*v(b). Let a(c) = -6*c. Give u(a(j)).
-396*j**2
Let c(u) be the first derivative of 3/2*u**2 + 0*u - 1. Let w(l) = -2*l**2. Give w(c(p)).
-18*p**2
Let g(h) be the third derivative of -h**5/60 - 3*h**2. Let p(w) = w**2 - 4*w + 4. Let x be p(3). Let s(q) = 1 - 4*q - x. Determine g(s(y)).
-16*y**2
Let g(b) = 3*b**2. Let q(d) = -15*d - 16*d + 29*d. What is g(q(u))?
12*u**2
Let y(h) = 3*h**2. Let k(s) be the first derivative of 5*s**3/3 - 12. Determine k(y(p)).
45*p**4
Let t(f) = 5*f. Let p(n) be the second derivative of -n**5/120 + 2*n**3/3 - n. Let b(g) be the second derivative of p(g). What is t(b(z))?
-5*z
Let x(c) = 7*c**2 + 3. Let r(v) = 4*v. Determine r(x(j)).
28*j**2 + 12
Let w(x) = x. Let u(z) = -8*z**2 - 7*z. Let d(s) = -s**2 - s. Let l = 12 - -9. Let h(c) = l*d(c) - 3*u(c). What is w(h(g))?
3*g**2
Let c(f) = -f**2. Let u(b) = -11730*b. Calculate c(u(v)).
-137592900*v**2
Let p(w) = -7*w + 2*w + 2*w. Let k = -11 + 7. Let h(d) = -d. Let y(g) = k*h(g) + p(g). Let q(r) = -r. Calculate q(y(z)).
-z
Let v(q) be the second derivative of q**4/4 + 10*q. Let u(x) = -2*x. Calculate u(v(h)).
-6*h**2
Let c(p) = -3*p**2. Let y(o) be the second derivative of 0 + 4*o - 1/12*o**4 + 1/2*o**2 + 0*o**3. Let i(t) be the first derivative of y(t). Give c(i(w)).
-12*w**2
Let c(o) = -4*o**2 - 4*o**2 + 6*o**2. Let a(f) be the third derivative of 0*f**3 + 0 + 0*f**4 + 0*f - 1/30*f**5 - 2*f**2. Determine c(a(l)).
-8*l**4
Let n(g) = -5*g**2. Let k(b) = -4*b - 7*b + 3*b + 7*b. Give n(k(p)).
-5*p**2
Let y(m) = -13*m**2. Let s(o) = -o**2 - o. Let b(h) = -4*h**2 - 3*h. Let p(c) = -2*b(c) + 6*s(c). Give p(y(i)).
338*i**4
Let m(l) = 4*l. Let w(f) be the third derivative of 1/60*f**5 + 0*f + 0*f**4 + 0 + 0*f**3 - 2*f**2. Give w(m(c)).
16*c**2
Let t(c) = -2*c**2. Let o(k) = -7*k**3 + k**2. Let y be o(1). Let u = -4 - y. Let q(d) = d - d - d**u. What is t(q(g))?
-2*g**4
Let k(j) = 2*j**2 - 3*j**2 + 4*j**2 - 5*j**2. Let h(q) be the first derivative of q**2 - 1. Give h(k(c)).
-4*c**2
Let k(m) = m**2 + 2. Let q(c) = -2*c**2 - 5. Let f(h) = 10*k(h) + 4*q(h). Let z(j) = -10*j**2. Calculate z(f(t)).
-40*t**4
Let n(i) = -3385*i**2. Let f(o) = o. Determine f(n(m)).
-3385*m**2
Let s(j) = 2*j**2. Let m(y) = -6*y + 5. Let h(o) = o. Let a(g) = 7*g - 1. Let b(z) = a(z) - 6*h(z). Let t(k) = 5*b(k) + m(k). Calculate s(t(r)).
2*r**2
Let m(s) = -255*s**2. Let v(g) = g**2. Determine v(m(h)).
65025*h**4
Let a(i) = 17*i**2. Let p(v) = -15*v**2 + 22*v**2 - 9*v**2. Calculate a(p(x)).
68*x**4
Let f(r) = -2*r**2. Let a(x) = -30*x**2 + 10*x. Suppose 3*k - k = 2*i, -12 = -2*k - 2*i. Let y(g) = -10*g**2 + 3*g. Let c(b) = k*a(b) - 10*y(b). Give f(c(u)).
-200*u**4
Let l(z) = 4*z**2 - z. Let t(m) = -3*m. Give l(t(b)).
36*b**2 + 3*b
Let a(z) = 2*z. Let n = 74 - 74. Let i(y) be the first derivative of n*y**2 + 0*y - 1 + 1/3*y**3. Determine a(i(u)).
2*u**2
Let u(f) = 140 - 140 + 9*f**2. Let r(z) = -z. Calculate u(r(q)).
9*q**2
Let b(d) = -3*d - 6. Let g(l) = -3*l**2. Calculate g(b(j)).
-27*j**2 - 108*j - 108
Let j(m) = 11*m - 2. Let u(p) = 3*p. Calculate j(u(d)).
33*d - 2
Let d(l) be the first derivative of 2 - 2/3*l**3 + 0*l + 0*l**2. Let q(t) = 3*t. Determine q(d(m)).
-6*m**2
Let y be (2 + -2 + 0)/(-3). Let q = 5 - y. Let t(h) = -h - 2*h + q*h. Let w(o) = 2*o**2. What is w(t(a))?
8*a**2
Let p(f) = 2*f - 1. Let c be p(4). Let w(z) = c*z - 6*z - 2 + 2. Let u(s) = -3*s. Determine u(w(q)).
-3*q
Let f(q) be the third derivative of 0*q - 9*q**2 - 1/60*q**5 + 0 + 0*q**3 + 0*q**4. Let l(y) = -y**2. Give f(l(x)).
-x**4
Let l(s) = -2*s**2. Let j(d) = -d - 2. Let b(v) = -4 + 0 + 1. Let i(o) = -2*b(o) + 3*j(o). Give l(i(g)).
-18*g**2
Let p(c) = -c**2. Suppose -6*m + 25 = -m. Let w(z) = z**2 + m*z - z - 4*z. Determine w(p(j)).
j**4
Let l(i) = 9*i**2. Let x(y) = 5*y + 4. Let b(m) = 11*m + 9. Let w(o) = -4*b(o) + 9*x(o). Calculate l(w(h)).
9*h**2
Let k(l) = 2*l**2 - 4 + 4. Suppose -4*x + 3*p + 20 = 0, -9 = -3*x + p + 1. Let y(b) = 1 + x*b - 1. What is y(k(s))?
4*s**2
Let w(i) = -2*i. Let a(h) = 3*h**2 + 2*h + 3222. Calculate a(w(f)).
12*f**2 - 4*f + 3222
Let r(h) be the second derivative of -h**4/4 - 11*h. Let x(b) = -19*b. Give x(r(i)).
57*i**2
Let k(o) = 3*o**2. Let p(h) be the first derivative of -5*h**3/3 + 3. Let v(g) = 9*g**2. Let c(s) = -11*p(s) - 6*v(s). Determine c(k(a)).
9*a**4
Suppose 2*l - 9 = -l. Suppose 7 = 5*t - l. Let r(u) = 2*u**t + u**2 - 5*u**2. Let b(c) = 2*c. Determine r(b(d)).
-8*d**2
Let a(c) = -2*c**2. Let j(l) = -l + 7. Let i be 2 + (3 + -3 - -3). Let f be j(i). Let s(u) = -4*u**2 - u**2 + 4*u**f + 3*u**2. Calculate a(s(x)).
-8*x**4
Let o(j) = 3*j**2 - 37*j. Let z(i) = -i. Give o(z(r)).
3*r**2 + 37*r
Let n(k) = 3*k**2 + 8. Let z(q) = -8*q. Determine n(z(y)).
192*y**2 + 8
Let w(b) = b. Let f(k) = -4*k**2 + 2*k. Let o(g) = -8*g**2 + 5*g. Let p(m) = -5*f(m) + 2*o(m). What is w(p(z))?
4*z**2
Let b(v) be the first derivative of 2 - 7*v + 7*v - v**2. Let x(c) = 5*c - 3. Let n(l) = -9*l + 5. Let o(h) = -3*n(h) - 5*x(h). Give b(o(d)).
-4*d
Let v(k) = 2*k. Let p(c) = 12 + 5*c - 1 - 1 - 1. Let o(l) = -l - 2. Let z(d) = -18*o(d) - 4*p(d). What is v(z(i))?
-4*i
Let n(t) = t. Let y(l) be the first derivative of l**2/2 + 1. Let s(k) = -n(k) - 4*y(k). Let v(d) = 2*d**2. Give v(s(a)).
50*a**2
Let g(m) = -9*m. Let l(u) = -2*u. Let x(s) = -g(s) + 3*l(s). Let h(k) be the third derivative of k**4/8 - k**2. Calculate x(h(n)).
9*n
Let p(g) = g. Let m(a) = -174*a - 1. Determine m(p(b)).
-174*b - 1
Let d be 4 + (-6)/(2 + 0). Let g(a) = 2 + d - 6*a**2 - 3. Let u(k) = -2*k. Determine u(g(j)).
12*j**2
Let q(d) be the second derivative of -d**3/2 + 7*d. Let y(g) = 6*g**2. Give y(q(c)).
54*c**2
Let p(o) = -14*o**2. Let z(q) = -8*q + 5. Let f(b) = 5*b - 3. Let t(h) = 5*f(h) + 3*z(h). Give p(t(s)).
-14*s**2
Let r(h) = 124*h**2 + 123*h**2 - 249*h**2. Let x(i) = -38*i**2. Calculate r(x(y)).
-2888*y**4
Let n be ((-2)/(-2))/((-1)/(-5)). Let c(r) = -3*r**2 - 3*r**2 + 3*r**2 + n*r**2. Let k(m) = -4*m. Determine k(c(l)).
-8*l**2
Let n(a) = -18*a**2. Let y(s) = -6*s**2 + 5*s + 5. Let z(w) = -w**2 + w + 1. Let t(j) = 2*y(j) - 10*z(j). Determine t(n(f)).
-648*f**4
Let r(h) = 3 - 3 + 6*h. Suppose 3*m + m = 0. Let j(v) = m*v**2 + 5*v**2 - 3*v**2. Calculate r(j(k)).
12*k**2
Let l(r) = r. Let d(p) = 17 - 5*p + 12*p + 7*p. Let f be (-3)/((-3)/4) + 2. Let k(t) = 5*t + 6. Let z(s) = f*d(s) - 17*k(s). What is l(z(x))?
-x
Let v(k) = 5*k**2 - 20*k. Let h(x) = 2*x**2. Calculate h(v(w)).
50*w**4 - 400*w**3 + 800*w**2
Let r(a) = -a. Let g(h) = 12*h - 2. Let u be 6/4*8/(-6). Let s(y) = 13*y - 3. Let i(f) = u*s(f) + 3*g(f). Calculate r(i(z)).
-10*z
Let n(q) = 2*q. Let x(p) = 3*p**2 + 73. Calculate x(n(u)).
12*u**2 + 73
Let k(m) = 42*m**2. Let r(g) = -10*g - 12. Let l(p) = -p - 1. Let n(a) = 12*l(a) - r(a). Determine n(k(j)).
-84*j**2
Let q(d) = 3*d**2. Let m(z) = 7*z**2 - 4. Let p(s) = 6*s**2 - 3. Let f(b) = b**3 - 5*b**2 + 4*b - 4. Let w be f(4). Let j(g) = w*p(g) + 3*m(g). What is j(q(v))?
-27
|
{
"pile_set_name": "DM Mathematics"
}
|
6, -4, -80, -188, -334?
-k**3 - k**2 - 6*k + 100
What is the o'th term of -10, -9, -12, -19?
-2*o**2 + 7*o - 15
What is the n'th term of -5, -9, -17, -29, -45, -65, -89?
-2*n**2 + 2*n - 5
What is the s'th term of -92, -114, -150, -206, -288?
-s**3 - s**2 - 12*s - 78
What is the l'th term of -38, -55, -70, -83?
l**2 - 20*l - 19
What is the n'th term of -3, 0, 5, 12, 21, 32?
n**2 - 4
What is the m'th term of -21, -45, -69?
-24*m + 3
What is the o'th term of 10784, 10768, 10736, 10682, 10600?
-o**3 - 2*o**2 - 3*o + 10790
What is the a'th term of 11172, 11174, 11176, 11178, 11180, 11182?
2*a + 11170
What is the f'th term of 530, 518, 494, 452, 386?
-f**3 - 5*f + 536
What is the a'th term of -248, -493, -738, -983?
-245*a - 3
What is the q'th term of 1022, 2041, 3062, 4085, 5110?
q**2 + 1016*q + 5
What is the l'th term of 30, 45, 26, -45, -186, -415, -750, -1209?
-3*l**3 + l**2 + 33*l - 1
What is the t'th term of 153, 158, 167, 180, 197?
2*t**2 - t + 152
What is the s'th term of -83, -85, -87, -89?
-2*s - 81
What is the x'th term of 2316, 4629, 6942, 9255, 11568, 13881?
2313*x + 3
What is the r'th term of -720, -1432, -2142, -2850, -3556?
r**2 - 715*r - 6
What is the a'th term of -1304, -1318, -1348, -1400, -1480, -1594?
-a**3 - 2*a**2 - a - 1300
What is the b'th term of -13, 3, 35, 89, 171?
b**3 + 2*b**2 + 3*b - 19
What is the g'th term of 33202, 33200, 33188, 33160, 33110, 33032, 32920?
-g**3 + g**2 + 2*g + 33200
What is the z'th term of 410, 826, 1242, 1658, 2074?
416*z - 6
What is the u'th term of 215, 210, 217, 242, 291, 370, 485, 642?
u**3 - 12*u + 226
What is the z'th term of 11, 7, -7, -37, -89?
-z**3 + z**2 + 11
What is the d'th term of 8, 21, 50, 101, 180, 293?
d**3 + 2*d**2 + 5
What is the a'th term of -49, -89, -129, -169, -209?
-40*a - 9
What is the q'th term of -342, -697, -1072, -1473, -1906, -2377, -2892, -3457?
-q**3 - 4*q**2 - 336*q - 1
What is the u'th term of -11, -16, -29, -50, -79, -116, -161?
-4*u**2 + 7*u - 14
What is the a'th term of 8, -7, -44, -115, -232, -407?
-2*a**3 + a**2 - 4*a + 13
What is the w'th term of -188, -104, -20, 64?
84*w - 272
What is the j'th term of -55, -105, -155, -205?
-50*j - 5
What is the h'th term of 17, 29, 49, 83, 137, 217, 329?
h**3 - 2*h**2 + 11*h + 7
What is the s'th term of 70, 80, 90, 100, 110?
10*s + 60
What is the f'th term of 22, 44, 66, 88, 110?
22*f
What is the u'th term of 9, 7, 5, 3, 1?
-2*u + 11
What is the v'th term of -9, -8, -7, -6?
v - 10
What is the z'th term of 280, 561, 842, 1123?
281*z - 1
What is the m'th term of 1339, 1337, 1335, 1333?
-2*m + 1341
What is the u'th term of 175, 157, 131, 103, 79, 65?
u**3 - 10*u**2 + 5*u + 179
What is the t'th term of -284, -1095, -2444, -4331, -6756, -9719, -13220?
-269*t**2 - 4*t - 11
What is the d'th term of 71, 143, 215, 287?
72*d - 1
What is the z'th term of 3, -31, -67, -105, -145, -187?
-z**2 - 31*z + 35
What is the h'th term of 82, 87, 94, 103, 114, 127, 142?
h**2 + 2*h + 79
What is the l'th term of 1834, 3670, 5506, 7342, 9178?
1836*l - 2
What is the o'th term of -33, -299, -1023, -2433, -4757?
-38*o**3 - o**2 + 3*o + 3
What is the b'th term of 1162, 1163, 1164, 1165, 1166?
b + 1161
What is the d'th term of 215, 430, 645, 860, 1075, 1290?
215*d
What is the v'th term of 45, 38, 27, 12?
-2*v**2 - v + 48
What is the c'th term of 0, -7, -56, -177, -400, -755, -1272, -1981?
-5*c**3 + 9*c**2 + c - 5
What is the s'th term of -42, 15, 170, 471, 966, 1703, 2730, 4095?
8*s**3 + s**2 - 2*s - 49
What is the u'th term of -36, -25, -12, 3, 20, 39?
u**2 + 8*u - 45
What is the d'th term of 2, -6, -34, -94, -198, -358?
-2*d**3 + 2*d**2 + 2
What is the r'th term of 337, 328, 319, 310, 301?
-9*r + 346
What is the n'th term of -2894, -2896, -2898, -2900?
-2*n - 2892
What is the k'th term of 17810, 17812, 17814, 17816, 17818?
2*k + 17808
What is the t'th term of 86, 89, 92, 95, 98, 101?
3*t + 83
What is the s'th term of 663, 661, 657, 651, 643?
-s**2 + s + 663
What is the f'th term of -20, -49, -106, -197, -328, -505, -734?
-f**3 - 8*f**2 + 2*f - 13
What is the x'th term of -2, -8, -12, -14, -14?
x**2 - 9*x + 6
What is the g'th term of -644, -642, -640, -638?
2*g - 646
What is the s'th term of -1275, -2553, -3831, -5109, -6387?
-1278*s + 3
What is the d'th term of 88, 693, 2330, 5515, 10764?
86*d**3 + 3*d - 1
What is the x'th term of -27, -54, -81, -108?
-27*x
What is the u'th term of 3, 4, 9, 18, 31, 48?
2*u**2 - 5*u + 6
What is the q'th term of 19, 64, 129, 214, 319?
10*q**2 + 15*q - 6
What is the r'th term of 75, 77, 89, 117, 167?
r**3 - r**2 - 2*r + 77
What is the t'th term of -7, -5, -1, 5, 13?
t**2 - t - 7
What is the q'th term of 515, 517, 519?
2*q + 513
What is the d'th term of -711, -716, -735, -774, -839, -936, -1071?
-d**3 - d**2 + 5*d - 714
What is the t'th term of 276, 272, 256, 222, 164, 76?
-t**3 + 3*t + 274
What is the h'th term of 6, 57, 194, 459, 894, 1541, 2442?
7*h**3 + h**2 - h - 1
What is the y'th term of 53, 40, 25, 8?
-y**2 - 10*y + 64
What is the r'th term of 5, 1, -3, -7, -11, -15?
-4*r + 9
What is the w'th term of 75, 91, 117, 153, 199, 255, 321?
5*w**2 + w + 69
What is the x'th term of 36, 75, 134, 219, 336, 491, 690?
x**3 + 4*x**2 + 20*x + 11
What is the o'th term of -427, -432, -441, -454?
-2*o**2 + o - 426
What is the k'th term of -105, -111, -127, -159, -213, -295, -411, -567?
-k**3 + k**2 - 2*k - 103
What is the p'th term of 9, 42, 123, 276, 525, 894, 1407?
4*p**3 + 5*p
What is the i'th term of -9, -9, -19, -45, -93?
-i**3 + i**2 + 4*i - 13
What is the l'th term of 85, 47, 9, -29?
-38*l + 123
What is the b'th term of 6, 23, 68, 153, 290?
2*b**3 + 2*b**2 - 3*b + 5
What is the f'th term of 100, 197, 290, 379, 464?
-2*f**2 + 103*f - 1
What is the k'th term of -93, -100, -107, -114?
-7*k - 86
What is the f'th term of -11, -37, -77, -131, -199, -281, -377?
-7*f**2 - 5*f + 1
What is the u'th term of 236, 247, 280, 347, 460, 631, 872?
2*u**3 - u**2 + 235
What is the t'th term of 823, 838, 869, 922, 1003?
t**3 + 2*t**2 + 2*t + 818
What is the v'th term of 7240, 14478, 21716, 28954?
7238*v + 2
What is the t'th term of 20, 174, 602, 1442, 2832?
23*t**3 - t**2 - 4*t + 2
What is the p'th term of 18, 64, 138, 240, 370, 528?
14*p**2 + 4*p
What is the w'th term of 97, 95, 93, 91, 89?
-2*w + 99
What is the b'th term of 1774, 1776, 1778?
2*b + 1772
What is the m'th term of -16, -15, -16, -19, -24?
-m**2 + 4*m - 19
What is the s'th term of 5265, 5260, 5251, 5238, 5221?
-2*s**2 + s + 5266
What is the v'th term of -10, -27, -70, -151, -282?
-2*v**3 - v**2 - 7
What is the t'th term of 14, 18, 30, 50?
4*t**2 - 8*t + 18
What is the d'th term of 147, 300, 441, 564, 663?
-d**3 + 160*d - 12
What is the m'th term of -7202, -7210, -7230, -7268, -7330?
-m**3 - m - 7200
What is the u'th term of 65, 63, 61, 59?
-2*u + 67
What is the t'th term of 1100, 2201, 3302, 4403?
1101*t - 1
What is the o'th term of 60, 74, 96, 126, 164, 210?
4*o**2 + 2*o + 54
What is the k'th term of 429, 863, 1299, 1737?
k**2 + 431*k - 3
What is the y'th term of -8, 4, 16?
12*y - 20
What is the z'th term of 30, 45, 64, 87, 114, 145, 180?
2*z**2 + 9*z + 19
What is the j'th term of -18, -26, -22, -6, 22?
6*j**2 - 26*j + 2
What is the i'th term of 94, 99, 106, 115, 126?
i**2 + 2*i + 91
What is the l'th term of -69, -550, -1859, -4410, -8617, -14894, -23655?
-69*l**3 + 2*l - 2
What is the i'th term of 87, 164, 241, 318?
77*i + 10
What is the z'th term of -129, -255, -377, -495, -609?
2*z**2 - 132*z + 1
What is the a'th term of -412, -399, -364, -295, -180?
2*a**3 - a**2 + 2*a - 415
What is the m'th term of 54, 122, 208, 318, 458, 634?
m**3 + 3*m**2 + 52*m - 2
What is the n'th term of -914, -1834, -2754, -3674, -4594, -5514?
-920*n + 6
What is the c'th term of -129, -189, -195, -153, -69, 51, 201, 375?
-c**3 + 33*c**2 - 152*c - 9
What is the v'th term of -2686, -5370, -8054, -10738, -13422, -16106?
-2684*v - 2
What is the o'th term of -118, -119, -120, -121, -122, -123?
-o - 117
What is the l'th term of -157, -175, -203, -241, -289?
-5*l**2 - 3*l - 149
What is the p'th term of 6, 18, 36, 60, 90, 126, 168?
3*p**2 + 3*p
What is the a'th term of 101, 182, 253, 308, 341, 346, 317?
-a**3 + a**2 + 85*a + 16
What is the w'th term of -245, -265, -285, -305?
-20*w - 225
What is the n'th
|
{
"pile_set_name": "DM Mathematics"
}
|
(-2 + 19*o - 13*o - 13*o)*(-7 - 2 - 5) - 1 + 1 - o.
97*o + 28
Expand (-4*v**2 - 4*v**2 + 5*v**2)*(-212*v + 0*v - 24*v).
708*v**3
Expand (5*g**2 + 5*g**2 - 5*g**2)*(63 - 58 + 24)*(1 - g - 1).
-145*g**3
Expand (-3 + 4 + 0)*(236*v + 238*v - 31*v).
443*v
Expand 428*f**4 + 84*f**5 - 428*f**4 - 3 + (-f**4 - f**4 - 3*f**4)*(-3*f + f + 0*f).
94*f**5 - 3
Expand (-5 + 1 + 2*m + 0)*((2*m**3 - m**3 + 0*m**3)*(-3*m + 3*m + 2*m) + m - 3*m**4 - m - 24*m + 24*m + 148*m**4).
294*m**5 - 588*m**4
Expand -153*i**2 - 5*i**4 + 140*i**2 + 8*i**4 + (-8 - 24 - 6)*(2*i**4 + 3*i - 3*i).
-73*i**4 - 13*i**2
Expand -w**3 + 2*w**3 - 3*w**3 + (w**2 + 0*w**2 - 2*w**2)*(-w + w + 2*w) - 178*w**3 - 14123*w + 14123*w.
-182*w**3
Expand (2*x**2 - 2*x**2 + 2*x**2)*(x**3 - 2*x**3 + 0*x**3) - 2*x**2 + x**5 + 2*x**2 + 4*x**3 + 63314079*x - 63314079*x - 1390*x**5.
-1391*x**5 + 4*x**3
Expand (6*s - 62*s - 11*s)*(4*s**4 - 7*s**4 - 2*s**4) - 5*s**5 + 3*s**5 - 4*s**5.
329*s**5
Expand (-1 + 1 + 2*m**2)*(-4*m + 3*m - m) - 5418*m + 4 + 1206*m**3 + 5418*m.
1202*m**3 + 4
Expand ((1 + 2 - 5)*(-3*p + 5*p - 3*p) - 5 + 15*p + 5 + 2*p - 2*p - 5*p)*(0*p**4 + 0*p**4 + 3*p**4).
36*p**5
Expand (-1 + 2*i**2 + 1)*(-4*i + 7*i - i) + 3783*i**3 - 17470*i**2 + 17470*i**2.
3787*i**3
Expand (4 - 3 + 6)*(21 - 38 + 13)*(-z**3 + z**3 - z**3) + 15*z + z**3 - 15*z.
29*z**3
Expand q - 3319*q**3 + 7099777 - 7099777 + (-2*q - 2 + 2)*(-1 - q**2 + 1).
-3317*q**3 + q
Expand (-2*q + 0*q + 4*q)*(-516 + 208 + 199)*(-2*q + q + 2*q).
-218*q**2
Expand (143*v - 297*v + 144*v)*(-26*v**4 + 38*v**3 - 38*v**3 + (-3*v - 2*v + 3*v)*(v**3 - 4*v**3 + 5*v**3)).
300*v**5
Expand (721 + 674 - 1590 + (2 + 1 - 1)*(-1 - 1 + 5))*(0 - 2*g + 0)*(-g**2 + 0*g**2 + 0*g**2).
-378*g**3
Expand (-2583*y + 2785*y - 5501*y - 6029*y)*(-y - 2*y + y).
22656*y**2
Expand -7*h**2 + 4*h**2 + 3*h + 6*h**2 - 74*h + 74*h + 9*h**2 + (h + h**2 - h)*(-1 + 0 + 3).
14*h**2 + 3*h
Expand (-k**2 + 0 + 0)*(223*k + 829*k + 154*k)*(3*k + 0 - 2*k - 2).
-1206*k**4 + 2412*k**3
Expand -2 + 3*p + 2 + 1 + (-1278*p - 1734*p + 2292*p)*(-3 - 2 + 4).
723*p + 1
Expand (74 - 40*s - 74)*(3 - 3 - 1)*(3*s - s + s)*(s - 3*s - 8*s).
-1200*s**3
Expand ((7*r - 4*r - 2*r)*(1 - 2 + 0) + 845 + 45*r - 845 + (-4 + 0 - 1)*((2 - 2 + 2)*(0*r + r + r) + 3 - 25*r - 3))*(-3*r - r + 5*r)*(0 - r + 0).
-149*r**3
Expand 4 - 4 + 3*w**2 + 0*w**2 - 248*w**2 - 5*w**2 + (0 + 3*w + 0)*(-2 - 2*w + 2).
-256*w**2
Expand ((-1 + 1 + 2*z)*(-15 + 29 - 15) + 8*z - 13*z - 30*z)*(6 - 5 + 1).
-74*z
Expand (-3*h - 10 + 10)*(1 - 1 - 1)*(0*h**3 + 2*h**3 + 2*h**3) - 2*h + 5*h**4 - h - 2 + 5*h**4.
22*h**4 - 3*h - 2
Expand (18*q - 14*q + 12*q)*(-1983 + 1983 - 66*q)*(4*q + 37 - 2*q - 35).
-2112*q**3 - 2112*q**2
Expand -4*v**2 - 3*v**2 + 4*v**2 + (23*v**2 - 3*v**2 + 13*v**2)*(13 - 22 + 17) + (-5 - 1 + 4)*(3*v**2 + 2*v**2 - 6*v**2).
263*v**2
Expand -3*l**4 + 8*l**4 + l**4 + (-253*l**3 - 9687*l**2 + 9687*l**2)*(l + 5*l - 2*l).
-1006*l**4
Expand (-4*h**2 + 4*h**2 - h**2)*(2*h - 6*h + 2*h + (30*h - 2*h - 119*h)*(10 - 11 + 19)).
1640*h**3
Expand (-76*h - 100*h + 24*h)*(-28 - 23 + 35) + 1 - 1 + h.
2433*h
Expand -12*x**4 - 2*x**4 + 30*x**4 + (-1 + 2*x + 1)*(-2*x**3 + x**3 - x**3) - 2*x**4 + 2*x**4 + x**4 + 2*x**4 + 3*x**2 - 3*x**2.
15*x**4
Expand -g + 3*g + 0*g + (47*g + 6*g - 8*g)*(4 + 3 - 1) + (-3 + 0 + 2)*(2*g + 5*g - 5*g) + 0*g + 2*g + g.
273*g
Expand (-340391 + 170164 + 170157 + 25*h)*(0*h + h + h).
50*h**2 - 140*h
Expand (3*w + 3*w - 5*w)*(4*w - 2*w + 0*w) - 3*w**2 + 2*w + 5*w**2 - w**2 + 76455 + 619*w**2 - 76455.
622*w**2 + 2*w
Expand (2 - 4 + 1)*(4*p**3 - 9 + 9) + 3*p**3 - p**3 - 4*p**3 - 3*p**3 - 2*p**3 + 3*p**3.
-8*p**3
Expand (72*j**2 - 34*j**2 + 2*j - 42*j**2 - 14)*(-8 - 3 + 6)*(-1 + 0 + 3).
40*j**2 - 20*j + 140
Expand (-r**2 + 2*r**2 - 2*r**2)*(r - 4*r + r) - r**3 - 1 + 1 + 5*r**3 - r**3 - 6*r**3 + (20 + 4*r**2 - 20)*(-31*r + 18*r + 7*r + 6) + r**3 - 3*r**3 + r**3.
-26*r**3 + 24*r**2
Expand (-89 - 182 - 30 + 15)*(-1 - 2*d + 1) + (7 - 2 - 3)*(5 - 5 + d) + 7*d + 11*d - 15*d.
577*d
Expand -4*o**2 + 4 - 4 + (0 + 1 - 3)*(-6*o**2 + 4*o**2 + 3*o**2) + o - o + 3*o**2 + 51*o**2 - 71*o**2 + 0 + 3 + 2*o**2 - o**2 + 0*o**2.
-22*o**2 + 3
Expand ((1 - 2 - 1)*(-13*i + 6*i - 3*i) + i - 5*i + 5*i)*(-i + 2*i + 4*i)*(4*i**3 + i**3 - 3*i**3) + (1 - 1 - 2*i**2)*(2*i**3 - 2*i**3 - 2*i**3).
214*i**5
Expand (-49*a**2 + 36*a**2 + 34*a**2)*(4467 - 4467 + 599*a).
12579*a**3
Expand 0*x - x**2 + 0*x + (-2*x + 1 - 1)*(40 - 40 - 11*x + 95*x + 16*x - 29*x + (-2 + 1 - 1)*(-1 - 2*x + 1) + 3*x - 6*x + 0*x).
-145*x**2
Expand -2*g**3 - 2*g**2 + 2*g**2 + (-4 + 4 + g**2)*(-2*g + 0*g + 0*g) + 53*g**3 + 4*g**3 - 10*g**3 - g**3 - 8*g**3 + g**3.
35*g**3
Expand 3 - 3 + 5*w - 92 + 169 - 567*w - 78 + (2*w - 3*w + 2*w)*(1 - 4 + 1) - 4*w + 4*w + 4*w + (-4 - 1 + 3)*(-w + w + 2*w) + 6*w - 2*w - 2*w.
-562*w - 1
Expand (10 - 1 + 77)*(-2 - 2 + 1)*(0*i**2 + i**2 - 3*i**2).
516*i**2
Expand (3*x**2 + x**2 - 3*x**2)*(-15 + 3310*x - 11 + 285*x + 26).
3595*x**3
Expand (1 + 4 - 3 - 3 - 3 - 10 + (0 - 2 + 1)*(0 + 1 + 0))*(-10 + 2*y + 10).
-30*y
Expand (-10*r + 2*r - 2*r)*(-6*r**2 - 25 + 27 + 77*r**2).
-710*r**3 - 20*r
Expand (1 - 3 + 0)*(60*b - 27 + 27) - 53 + 5*b + 53.
-115*b
Expand -21*p**2 + 20*p**2 - 1937 + 248 + 2*p**2 + 0*p**2 + 0*p**2 + (-2*p + 3*p - 3*p)*(-4*p + 4*p - p) + p**2 - 3 + 3 + 4 - 4 + 2*p**2.
6*p**2 - 1689
Expand (-3 + 2 + 0)*(30*p**4 + 1167*p**3 - 1167*p**3) - 2*p**4 - p**4 + 7*p**4 + 2*p**2 - 2*p**2 + 2*p**4.
-24*p**4
Expand -v**3 + 2*v**2 - 2*v**2 + (-2 - v**2 + 2)*(-5*v + 2*v + v) + 3*v**3 - 3*v**3 + v**3 + 2*v**3 + v**3 - 2*v**3 - 106 - 50*v + v**3 + 50*v.
4*v**3 - 106
Expand (-222*m + 689*m + 124*m + 392*m)*(2*m**2 - 2*m**2 - 2*m**3).
-1966*m**4
Expand (-257*y + 534*y - 13 - 263*y)*(-2*y**2 + 2*y - 2*y) + (-5*y**2 - 2*y**2 + 3*y**2)*(2*y + 4*y - 3*y).
-40*y**3 + 26*y**2
Expand (8 + 6 - 6)*(28*m**3 + 27*m**3 - 12*m**3) - 3*m**3 + 0*m**3 + 4*m**3.
345*m**3
Expand (1861*y**4 - 1571*y + 4725*y - 1580*y - 1571*y)*(2*y - 6*y + 3*y).
-1861*y**5 - 3*y**2
Expand (-210 + 382 + 428)*(-v - v - 2*v).
-2400*v
Expand (g - 2*g - 2*g)*(2*g - 3*g + 0*g) + (-3*g**2 + 0 + 0)*(37 - 126 + 727).
-1911*g**2
Expand -u**5 - 4*u**5 + 4*u**5 + (-3 + 18*u + 0 - 16*u)*(10*u**2 - 9*u**4 - 10*u**2).
-19*u**5 + 27*u**4
Expand (-24123 - 18102 + 1935 - d**2 + 7905 - 16875)*(0 + d + 0).
-d**3 - 49260*d
Expand (k**2 - 1 + 1)*(-5 - 175*k + 174*k + 19).
-k**3 + 14*k**2
Expand -42*p + 16*p + 13 + 20*p + (-4 + 3 + 2)*(-376 + 376 - 97*p).
-103*p + 13
Expand 35 + 2036*a + 1990*a - 3742*a + (4*a - 3*a - 2*a)*(-3 + 6 - 1) - 2*a + a + 2*a + a + 4*a - 3*a + 1 - 1 + 2*a.
287*a + 35
Expand (59*v + 16 + 151*v - 16)*(54 - 48 - 2*v - 5*v).
-1470*v**2 + 1260*v
Expand (-3 - 21 + 2)*(x**2 - 2*x**2 + 3*x**2 + (1 - 1 + 1)*(0 + 0 + x**2) - 2*x**2 + 0*x**2 + 3*x**2 + 73*x**2 - 44*x**2 - 40*x**2).
154*x**2
Expand (-2408 - 6643 + 3189 + 61 - 1539 - 7510)*(-1 + 1 + 3*d**2).
-44550*d**2
Expand (2*u**2 + u - u)*(-4*u**2 - 3*u**2 + 4*u**2) - u + 2*u**4 + u - 2*u**3 + 3*u**4 + 86*u + 63*u - 42*u.
-u**4 - 2*u**3 + 107*u
Expand (o**2 - 1 + o**2 + 2*o**2)*(1 - 8*o - 3 + 0) - 2*o**3 - 5*o**3 + 0*o**3 + (-1 - 2*o + 1)*(-2*o**2 + 4 - 4) + 21 - 21 - o**3.
-36*o**3 - 8*o**2 + 8*o + 2
Expand (2*d**2 + 0*d**2 - 3*d**2)*(1 + 1 - 5 + (-3 - 1 + 5)*(-10 + 6 - 8) + (-3 + 0 + 4)*(1 + 2 - 5)).
17*d**2
Expand (-3225*b**2 - 4104*b**2 + 2184*b**2)*(2 + b**2 - 2).
-5145*b**4
Expand (-1047363 + 13*c**4 + 76*c**3 + 1047363)*(5*c - c - 3*c).
13*c**5 + 76*c**4
Expand (-2*f**2 + 8 - 8)*(110 + 196 - 88).
-436*f**2
Expand (-2*h**3 + 5*h - 5*h + (-1 - 2*h + 1)*(-82*h**2 - 3*h**2 - 15*h**2))*(-1 - 7 - 2).
-1980*h**3
Expand ((0 + 0 + 2*l)*(-2 - 2 + 5) + 2 - 2 + 2*l + 2*l + 4*l - 3*l + 4*l - 9*l - 9*l)*(-12 - 1 + 59).
-322*l
Expand -621 - d**3 - 17*d - 4*d**2 + 621 - 3*d**2 - d**3 + 3*d**2 + (d**3 - 2*d**3 + 3*d**3)*(1 + 1 - 3).
-4*d**3 - 4*d**2 - 17*d
Expand (-4 + w + 4)*(-4*w**4 - 4*w**4 + 3*w**4) + 2*w**5 - 5*w**5 + 0*w**5 + (-2*w - 2*w + 3*w)*(27*w**4 - 34*w**4 - 19*w**4).
18*w**5
Expand (3*z + 0*z + z)*(-2*z + 3*z + 0*z)*(-8 + 47 - 14)*(2 - 3 + 0).
-100*z**2
Expand (1912*v + 4583*v - 1563*v)*(-4*v + 3*v + 2*v).
4932*v**2
Expand 10 - 266*j + 6 + 291*j - 28*j + (-4 + 4 + j)*(-2 + 3 - 3).
-5*j + 16
Expand (-4 + 3 + 0)*(178*h + 10364 - 10364)*((2*h + 2*h
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the second biggest value in -0.2, -1/4, j, 3/7?
j
Let y = 664 - 643. Which is the second smallest value? (a) 9 (b) -4 (c) y
a
Let m be 1/5*(-2)/4. Let s = 840 + -841. What is the third smallest value in m, s, 4, -0.2?
m
Let j be (-1 - -1) + 14/35. Let x = -10.1 - -10. What is the third smallest value in x, j, 8?
8
Suppose -2 = -y - 7. Which is the smallest value? (a) y (b) 0 (c) -4/5
a
Let v = 89.61 - 95. Let w = -0.61 + v. What is the third biggest value in 2/3, w, 0.5?
w
Let x = 1573 - 1571. Which is the fourth smallest value? (a) -8 (b) -0.2 (c) 0 (d) x
d
Let p be 336/(-88) + (3 - 2/(-2)). Let w(d) = -d + 1. Let y be w(0). Let t be y/(-78) + (-2)/(-12). Which is the third smallest value? (a) t (b) -2/3 (c) p
c
Let m = 178.8 + -179. What is the smallest value in -5, 0.55, m, 2?
-5
Let f = 7 + -6.7. Let d be 864/810 - (-6)/(-15). Which is the second smallest value? (a) f (b) d (c) -2/9
a
Let a(l) = -9*l - 1. Let h be a(-1). Suppose 0 = -4*v + h + 12. Suppose 3*g = -m - v, 7*m - 2*m = 20. What is the biggest value in 3/2, g, -1?
3/2
Let v = 65 - 263/4. Let l = -7.7 + 8.7. What is the third smallest value in 1/3, l, v, -1?
1/3
Let s = -61.88 + 65. Let q = -1.12 + s. Let p = -71/595 - 2/85. What is the biggest value in p, -2/5, q?
q
Let z = 97.6 + -114.6. Which is the second smallest value? (a) z (b) -1/9 (c) -1/3
c
Let m(o) = -o**3 + 6*o**2 - 12*o. Let i be m(5). Which is the smallest value? (a) i (b) -0.4 (c) -0.1
a
Let s = -5 - -5.2. Let h = -59 + 61.3. Let i = h - 2.5. Which is the third biggest value? (a) -8 (b) s (c) i
a
Let g = 428/5 + -84. Let l = 0.75 + -0.25. Which is the smallest value? (a) -2/7 (b) g (c) l
a
Let x(y) = -y**2 + 7*y + 4. Let i be x(-1). Which is the fourth biggest value? (a) 0 (b) -338 (c) i (d) 0.1
b
Let p = 1.91 - 0.41. Let q = -1.5 - p. Which is the biggest value? (a) -4 (b) q (c) 1/4
c
Let u = 311/2 + -153. Let f be 2*4/(-10) - -2. What is the smallest value in u, f, 0.5?
0.5
Let k = 5147/920 + 1/184. Let s = k + -211/35. Which is the smallest value? (a) 1/6 (b) s (c) -1/20
b
Let i(h) = -2*h**3 - 21*h**2 - 11*h - 12. Let s be i(-10). Which is the smallest value? (a) 1/34 (b) 0.5 (c) s
c
Let k = 17.89 + -4.59. Let m = 14 - 27. Let j = k + m. Which is the biggest value? (a) j (b) -1 (c) 1
c
Let v = 781.91 + -782. Which is the third biggest value? (a) 0.07 (b) v (c) -0.06
b
Let l = 109 + -46. Let q = l - 67. What is the fourth biggest value in 1/4, q, -1/5, 5?
q
Let f be (2 - 29/5) + 3. Let x = 4.986 + 0.014. Which is the fourth biggest value? (a) -0.1 (b) x (c) f (d) -3
d
Let s = 21.0249 - 0.0249. Which is the second smallest value? (a) s (b) -0.1 (c) 0.5
c
Let g = 0.12 - -2.88. Let u = 75.5 - 76. Which is the second biggest value? (a) g (b) 1/4 (c) u
b
Let x = -9 + 14. Let w = -516 + 515.9. Which is the smallest value? (a) x (b) -0.8 (c) w
b
Let m = 38.8 - 35.8. What is the third smallest value in 8, m, -5, -0.1?
m
Let i = -917 - -917. Which is the biggest value? (a) -1 (b) i (c) -9 (d) -17
b
Let v = -91 + 91.08. Let n = 0.82 + v. Let z be 3/(6/(-3) - -1). Which is the second smallest value? (a) 0.2 (b) n (c) z
a
Let u = 33 - -8. Let m = -7 + u. Let v = -30 + m. What is the third biggest value in v, -6, 2/7?
-6
Let z be 13/(-585)*3*-5. Let l = -0.6 - -0.3. What is the second smallest value in 1, l, 0, z?
0
Let i = 2.63 + -5.63. Which is the third smallest value? (a) 5 (b) i (c) 3 (d) -0.4
c
Let g = 17 + -14. Suppose -46 = 3*q - 13. What is the third biggest value in 0, q, g?
q
Let d = -7001/7 + 1000. What is the second smallest value in 0.2, -0.3, d?
d
Let u be 13/((-260)/(-9)) - (-2)/(-8). Which is the second smallest value? (a) u (b) -2/5 (c) -6/5
b
Let z = 191 - 121. Let m = z + -72. Let p = 9 + -4. What is the second biggest value in 3, p, m?
3
Let g = -62.02957 + 0.09957. Let d = g - -62. Which is the third biggest value? (a) d (b) 3 (c) 0.4
a
Let r = 21 - 11. Let t = r + -13. Which is the second smallest value? (a) t (b) -1 (c) 3
b
Let b(i) = 2*i - 2. Let s be b(5). Let x be 2*(-11)/s + 3. Let z = -20.3 - -20. What is the smallest value in x, z, 0.2?
z
Let l = 795 + -3171/4. Which is the third biggest value? (a) 0.2 (b) -4 (c) -0.2 (d) l
c
Let d = 88.24 + -82. Let o = 5.7 - d. Let r = o + 0.14. Which is the second smallest value? (a) 2/5 (b) r (c) -2
b
Let j = 18 - 13. Suppose -31 = j*w - 11. Which is the second smallest value? (a) -2 (b) w (c) 5
a
Suppose -8*m + 10 = -10*m, 0 = -2*n + 4*m + 16. What is the fourth biggest value in 3, 1/3, n, 0.07?
n
Let v = -477/1240 + 3/310. Let t(f) = -16*f**2 - 128*f + 5. Let s be t(-8). What is the biggest value in v, s, 2?
s
Let y(s) = -6*s**3 + 6*s**3 - 5*s - 2*s**2 + s**3 + 1 + 1. Let q be y(3). Suppose 0 = -10*c + 6*c. What is the second biggest value in c, -1, q?
-1
Let j(l) = -l**3 - 12*l**2 - 20*l - 7. Let x be j(-10). Let a be (-6)/x - (-2)/(-42)*-3. What is the biggest value in 2, 4, a, 0.5?
4
Let t be (-34)/10 + 1*(1 + 2). What is the third smallest value in 0.4, 2/3, t?
2/3
Let f = 1.128 + -2.128. What is the third biggest value in -0.02, 9, -0.1, f?
-0.1
Suppose -b = -4*j - 372, 4*b - 60 = j + 33. What is the biggest value in 2, j, 4?
4
Let h = -722 + 722.3. Which is the fourth biggest value? (a) -5/4 (b) h (c) 1 (d) 10/7
a
Suppose -211 - 19 = -115*i. What is the smallest value in i, -0.4, -0.43?
-0.43
Let q be 67/(-165) + 2/6. Let f = -3/11 - q. Let w = -58 + 113/2. Which is the biggest value? (a) w (b) f (c) 0.1
c
Let l = 0.9 + 0.1. Let y(v) = -4*v**2 + 47*v - 35. Let w be y(11). What is the second biggest value in w, 0.2, l?
0.2
Let y = -0.7 - -0.5. Let r = -5.2 - y. Let z = -0.1 + -2.9. Which is the third biggest value? (a) z (b) 3 (c) r
c
Let j = 75117/13 + -5781. What is the fourth smallest value in 0.2, j, -5, 4?
4
Let i(d) = -d**3 - 44*d**2 + 94*d + 91. Let x be i(-46). What is the smallest value in 1408, -2/11, x?
x
Let f = 0.08151 - 0.03151. Suppose 2 = 3*p + 20. Let r be p/27 + (1 - 1). Which is the biggest value? (a) r (b) 0.2 (c) f
b
Suppose 33 = o + 2*o. Let w be ((-1408)/40)/o*(-5)/2. Which is the second biggest value? (a) -2/9 (b) w (c) 1
c
Let l = 25.48 - 25. Let f = -0.42 + l. Which is the second smallest value? (a) -0.1 (b) 2 (c) f
c
Let z = 1.2 - 0.1. Let v = z + -0.7. What is the third smallest value in v, -9, 5?
5
Suppose 168*j - 159*j - 9 = 0. What is the third biggest value in -0.3, -5, 0.2, j?
-0.3
Let b = -59/252 + -1/63. Let f = -56 + 55.5. What is the smallest value in f, 1/3, b?
f
Let m = -1515 - -1512. What is the third smallest value in 0.3, -5, m?
0.3
Let t = 34.069 + -0.069. Let u = -29 + t. What is the biggest value in -2, u, -3?
u
Let j be 15/15 - (-1 + -3). Suppose 3*x + j = 8*x. Let l = -10 + 9.7. What is the third smallest value in l, x, -1?
x
Suppose -30 = 72*s - 66*s. Let r(p) = p**2 + p - 16. Let d be r(-5). Which is the third smallest value? (a) -3 (b) s (c) d
c
Let k be 2/6 - 2/(-4). Let s = -0.745 - -0.245. Let t = -136 + 678/5. Which is the third biggest value? (a) t (b) k (c) s
c
Let o = 0.3 - 0. Let n = 130 - 47. Let x = -88 + n. Which is the biggest value? (a) o (b) x (c) -4
a
Let b = -4/113 + -158/1921. What is the second smallest value in 8, -3/2, -0.01, b?
b
Let q be ((-2)/(-6))/(1/3). Let t be q/(2 + 33/(-9)). Let d be 74/44 + 114/(-76). Which is the third smallest value? (a) 0 (b) d (c) t
b
Let f = -12276 + 12274. Let c = -27 - -55/2. What is the third smallest value in -0.2, 2/9, f, c?
2/9
Suppose 29*l - 14*l = -60. Which is the third smallest value? (a) -3 (b) l (c) 5 (d) 0.08
d
Let d = -0.156 - -0.146. What is the third smallest value in d, 0, -3, 5?
0
Let t be ((-2)/(5/5))/(-10). Let s be (-21)/(-12)*(-6)/(-21). Which is the smallest value? (a) t (b) 0 (c) s
b
Let h = 3.5 + -7.5. Let t be (-42)/(-12) - -2 - (-1)/(-2). Which is the biggest value? (a) 4 (b) h (c) 2 (d) t
d
Suppose -20*x + 29 + 11 = 0. Let v = 0 + -0.4. Which is the fourth biggest value? (a) -4 (b) x (c) v (d) 0.4
a
Let o = -2434/5517 + -2/613. Suppose -2*k - 10 = -4*k. Let r be -1*1 + 7/k. What is the third biggest value in -2/13, r, o?
o
Let y be (1 - 2)*29/(-116). Which is the second smalle
|
{
"pile_set_name": "DM Mathematics"
}
|
prime factors of 530778581?
530778581
List the prime factors of 5595170065.
5, 19, 367, 160481
What are the prime factors of 209420174?
2, 109, 960643
List the prime factors of 2941949155.
5, 59, 619, 16111
List the prime factors of 97741154.
2, 7, 61, 114451
List the prime factors of 5448443863.
349, 15611587
What are the prime factors of 259871913?
3, 7, 4124951
What are the prime factors of 2743222365?
3, 5, 13, 37, 9749
What are the prime factors of 290943892?
2, 29, 61, 41117
List the prime factors of 4149444209.
31, 47, 2847937
List the prime factors of 7140021.
3, 7, 43, 7907
What are the prime factors of 156534752?
2, 11, 444701
List the prime factors of 246594991.
1583, 155777
List the prime factors of 98156812.
2, 13, 19, 99349
What are the prime factors of 655247383?
7, 93606769
List the prime factors of 19860980.
2, 5, 993049
List the prime factors of 50663002.
2, 13, 107, 18211
List the prime factors of 208686787.
11423, 18269
List the prime factors of 118566159.
3, 167, 236659
What are the prime factors of 33348228?
2, 3, 359, 7741
What are the prime factors of 402676288?
2, 7, 251, 3581
What are the prime factors of 5841999985?
5, 1168399997
What are the prime factors of 30225934?
2, 15112967
What are the prime factors of 23820916?
2, 7, 23, 47, 787
List the prime factors of 3215178095.
5, 643035619
What are the prime factors of 4559165?
5, 13, 70141
What are the prime factors of 42468619?
479, 88661
What are the prime factors of 245384086?
2, 17, 47, 153557
List the prime factors of 37673290.
2, 5, 593, 6353
What are the prime factors of 869825626?
2, 434912813
What are the prime factors of 8352228651?
3, 13, 3779, 56671
List the prime factors of 117880144.
2, 89, 82781
What are the prime factors of 6605381?
6605381
List the prime factors of 3280972202.
2, 1640486101
List the prime factors of 17513091.
3, 216211
What are the prime factors of 179576700?
2, 3, 5, 29, 20641
What are the prime factors of 2316202777?
7, 330886111
List the prime factors of 4474330331.
53, 401, 210527
What are the prime factors of 314682120?
2, 3, 5, 874117
What are the prime factors of 574194053?
41, 971, 14423
What are the prime factors of 693596917?
13, 53353609
What are the prime factors of 22885038?
2, 3, 11, 59, 653
What are the prime factors of 521978457?
3, 7, 11, 13, 173819
What are the prime factors of 1594628951?
17, 83, 941, 1201
What are the prime factors of 1109803416?
2, 3, 41, 1127849
List the prime factors of 289424278.
2, 11, 13, 1011973
What are the prime factors of 396321045?
3, 5, 107, 246929
List the prime factors of 490535403.
3, 163511801
What are the prime factors of 611835740?
2, 5, 4481, 6827
List the prime factors of 1550285772.
2, 3, 7, 19, 971357
What are the prime factors of 6639439342?
2, 3319719671
List the prime factors of 46229931.
3, 11, 23, 79, 257
What are the prime factors of 31495096?
2, 23, 171169
List the prime factors of 80598513.
3, 17, 19, 83177
List the prime factors of 190251932.
2, 13, 293, 12487
List the prime factors of 144023961.
3, 48007987
List the prime factors of 1185956643.
3, 3461, 114221
What are the prime factors of 505134521?
47, 113, 95111
List the prime factors of 1154996837.
1154996837
What are the prime factors of 2401481404?
2, 7, 17, 263, 19183
List the prime factors of 229833332.
2, 57458333
What are the prime factors of 1323927621?
3, 547, 268927
List the prime factors of 387390475.
5, 17, 911507
What are the prime factors of 1597174724?
2, 227, 1759003
What are the prime factors of 87006583?
29, 73, 563
List the prime factors of 1021906662.
2, 3, 7, 3475873
List the prime factors of 22430667.
3, 7, 17, 83, 757
List the prime factors of 57478232.
2, 7, 29, 35393
What are the prime factors of 4474433621?
7, 12739, 50177
What are the prime factors of 630960465?
3, 5, 197, 213523
What are the prime factors of 117598021?
571, 205951
What are the prime factors of 224435887?
13, 17, 191, 409
List the prime factors of 179276677.
179276677
What are the prime factors of 2045426326?
2, 1022713163
List the prime factors of 97472343.
3, 4517, 7193
What are the prime factors of 5338258346?
2, 29, 593, 155209
What are the prime factors of 157476119?
29, 5430211
List the prime factors of 320066557.
241, 1328077
List the prime factors of 174989374.
2, 7, 157, 79613
What are the prime factors of 1041585400?
2, 5, 1987, 2621
List the prime factors of 1773244296.
2, 3, 17, 131, 11059
What are the prime factors of 481080399?
3, 17, 19, 496471
What are the prime factors of 112793745?
3, 5, 109, 149, 463
List the prime factors of 506664323.
11, 46060393
What are the prime factors of 463074158?
2, 389, 431, 1381
List the prime factors of 629056929.
3, 31, 6764053
What are the prime factors of 44917284?
2, 3, 43, 87049
List the prime factors of 66631604.
2, 13, 607, 2111
List the prime factors of 4708409810.
2, 5, 13, 23, 107, 14717
What are the prime factors of 1505512444?
2, 376378111
List the prime factors of 4829364.
2, 3, 163, 823
List the prime factors of 258952712.
2, 103, 314263
What are the prime factors of 3127509413?
7, 446787059
List the prime factors of 75792647.
7, 17, 137, 4649
What are the prime factors of 1296822612?
2, 3, 108068551
List the prime factors of 5461675514.
2, 19, 47, 241, 12689
What are the prime factors of 6411963407?
113, 263, 215753
What are the prime factors of 130523427?
3, 4834201
List the prime factors of 4742455711.
7, 17, 47, 18041
What are the prime factors of 296527004?
2, 2791, 26561
List the prime factors of 46027154.
2, 23013577
List the prime factors of 39114768.
2, 3, 7, 11, 19, 557
List the prime factors of 295423249.
11, 26856659
What are the prime factors of 30923770?
2, 5, 463, 6679
List the prime factors of 2021532176.
2, 631, 200231
List the prime factors of 2134647241.
421, 5070421
What are the prime factors of 2065610922?
2, 3, 344268487
List the prime factors of 4139724.
2, 3, 23, 53, 283
List the prime factors of 33106273.
2371, 13963
What are the prime factors of 848436117?
3, 31, 9122969
List the prime factors of 242788762.
2, 121394381
List the prime factors of 51532491.
3, 17, 809, 1249
What are the prime factors of 2327987529?
3, 7, 53, 697211
List the prime factors of 3460051546.
2, 7, 31, 47, 169627
List the prime factors of 47135190.
2, 3, 5, 31, 50683
List the prime factors of 248470269.
3, 82823423
What are the prime factors of 62547249?
3, 97, 214939
List the prime factors of 851147331.
3, 41, 6919897
List the prime factors of 1537380473.
1537380473
List the prime factors of 3273056071.
19, 3541, 48649
What are the prime factors of 725806200?
2, 3, 5, 7, 29, 59, 101
List the prime factors of 67834037.
67834037
List the prime factors of 694353756.
2, 3, 1031, 56123
What are the prime factors of 39830590?
2, 5, 3983059
What are the prime factors of 10834565?
5, 7, 309559
What are the prime factors of 101940460?
2, 5, 5097023
List the prime factors of 754993949.
449, 1681501
List the prime factors of 4353411283.
13, 41, 73, 127, 881
List the prime factors of 2075659546.
2, 6679, 155387
List the prime factors of 780813118.
2, 390406559
List the prime factors of 457127902.
2, 7, 11, 479, 6197
List the prime factors of 142801114.
2, 41, 1741477
What are the prime factors of 265264667?
265264667
What are the prime factors of 4462563463?
1693, 2635891
What are the prime factors of 671032972?
2, 29, 5784767
List the prime factors of 51966060.
2, 3, 5, 866101
List the prime factors of 25544658.
2, 3, 1433, 2971
List the prime factors of 11042579.
1093, 10103
List the prime factors of 98296525.
5, 3931861
What are the prime factors of 272038638?
2, 3, 45339773
What are the prime factors of 940167889?
940167889
What are the prime factors of 38680405?
5, 31, 61, 4091
List the prime factors of 125946931.
11, 17, 673513
What are the prime factors of 125826350?
2, 5, 13, 17, 59, 193
List the prime factors of 1522762032.
2, 3, 11, 61, 47279
List the prime factors of 2003255078.
2, 11, 17, 1553, 3449
List the prime factors of 1073191080.
2, 3, 5, 13, 199, 3457
List the prime factors of 52934935.
5, 43, 246209
What are the prime factors of 208952933?
7, 17, 41, 113, 379
What are the prime factors of 119180440?
2, 5, 41, 72671
List the prime factors of 404
|
{
"pile_set_name": "DM Mathematics"
}
|
housands digit of 18256?
8
What is the tens digit of 11755?
5
What is the tens digit of 25386?
8
What is the tens digit of 1440?
4
What is the tens digit of 71?
7
What is the thousands digit of 4826?
4
What is the hundreds digit of 37809?
8
What is the ten thousands digit of 25361?
2
What is the thousands digit of 8677?
8
What is the hundreds digit of 892?
8
What is the hundreds digit of 1562?
5
What is the units digit of 13586?
6
What is the hundreds digit of 865?
8
What is the tens digit of 124906?
0
What is the thousands digit of 136638?
6
What is the units digit of 2274?
4
What is the tens digit of 184?
8
What is the hundreds digit of 2222?
2
What is the thousands digit of 4924?
4
What is the ten thousands digit of 30094?
3
What is the units digit of 12242?
2
What is the units digit of 1008?
8
What is the tens digit of 96973?
7
What is the thousands digit of 85162?
5
What is the units digit of 50975?
5
What is the tens digit of 840?
4
What is the tens digit of 2182?
8
What is the hundreds digit of 907?
9
What is the units digit of 182?
2
What is the tens digit of 2213?
1
What is the units digit of 1155?
5
What is the tens digit of 1437?
3
What is the thousands digit of 1435?
1
What is the tens digit of 1988?
8
What is the tens digit of 4292?
9
What is the ten thousands digit of 23048?
2
What is the tens digit of 9500?
0
What is the tens digit of 583?
8
What is the ten thousands digit of 22248?
2
What is the tens digit of 1253?
5
What is the units digit of 13705?
5
What is the thousands digit of 101627?
1
What is the hundreds digit of 1091?
0
What is the tens digit of 69046?
4
What is the tens digit of 36561?
6
What is the tens digit of 7256?
5
What is the thousands digit of 4870?
4
What is the hundreds digit of 2292?
2
What is the thousands digit of 3395?
3
What is the hundreds digit of 408?
4
What is the ten thousands digit of 67635?
6
What is the tens digit of 16115?
1
What is the units digit of 6989?
9
What is the thousands digit of 1043?
1
What is the tens digit of 10653?
5
What is the tens digit of 149?
4
What is the hundreds digit of 261?
2
What is the thousands digit of 1097?
1
What is the tens digit of 138986?
8
What is the units digit of 1886?
6
What is the ten thousands digit of 49195?
4
What is the hundreds digit of 1956?
9
What is the tens digit of 18509?
0
What is the units digit of 26863?
3
What is the thousands digit of 2687?
2
What is the hundreds digit of 1538?
5
What is the hundreds digit of 1684?
6
What is the units digit of 1405?
5
What is the thousands digit of 5177?
5
What is the tens digit of 2431?
3
What is the hundreds digit of 39856?
8
What is the tens digit of 713?
1
What is the tens digit of 2305?
0
What is the tens digit of 3080?
8
What is the thousands digit of 1320?
1
What is the tens digit of 2371?
7
What is the units digit of 19630?
0
What is the units digit of 23630?
0
What is the tens digit of 17?
1
What is the hundreds digit of 77658?
6
What is the tens digit of 1959?
5
What is the tens digit of 3678?
7
What is the hundreds digit of 925?
9
What is the units digit of 6937?
7
What is the tens digit of 1879?
7
What is the units digit of 2674?
4
What is the tens digit of 4006?
0
What is the thousands digit of 15363?
5
What is the thousands digit of 1766?
1
What is the units digit of 726?
6
What is the units digit of 1279?
9
What is the units digit of 17?
7
What is the thousands digit of 1152?
1
What is the units digit of 122217?
7
What is the tens digit of 694?
9
What is the hundreds digit of 8183?
1
What is the tens digit of 10652?
5
What is the units digit of 75236?
6
What is the ten thousands digit of 57607?
5
What is the tens digit of 923?
2
What is the tens digit of 86503?
0
What is the hundreds digit of 928?
9
What is the units digit of 1101?
1
What is the tens digit of 2799?
9
What is the hundreds digit of 248?
2
What is the tens digit of 654?
5
What is the tens digit of 7305?
0
What is the ten thousands digit of 15662?
1
What is the hundreds digit of 2100?
1
What is the units digit of 176?
6
What is the tens digit of 1328?
2
What is the hundreds digit of 175?
1
What is the ten thousands digit of 22984?
2
What is the units digit of 51397?
7
What is the tens digit of 26681?
8
What is the units digit of 1843?
3
What is the hundreds digit of 18902?
9
What is the hundreds digit of 2921?
9
What is the hundreds digit of 1090?
0
What is the hundreds digit of 56164?
1
What is the units digit of 386?
6
What is the units digit of 943?
3
What is the thousands digit of 1616?
1
What is the thousands digit of 1497?
1
What is the units digit of 1933?
3
What is the units digit of 1832?
2
What is the hundreds digit of 283?
2
What is the thousands digit of 11455?
1
What is the thousands digit of 1026?
1
What is the tens digit of 58930?
3
What is the thousands digit of 1905?
1
What is the ten thousands digit of 56604?
5
What is the hundreds digit of 960?
9
What is the hundreds digit of 968?
9
What is the units digit of 956?
6
What is the hundreds digit of 3842?
8
What is the units digit of 851?
1
What is the tens digit of 470?
7
What is the units digit of 2817?
7
What is the units digit of 778?
8
What is the ten thousands digit of 76658?
7
What is the tens digit of 143452?
5
What is the hundreds digit of 23257?
2
What is the tens digit of 14872?
7
What is the units digit of 168?
8
What is the tens digit of 1567?
6
What is the thousands digit of 6628?
6
What is the units digit of 33556?
6
What is the units digit of 1722?
2
What is the hundreds digit of 82968?
9
What is the thousands digit of 2422?
2
What is the units digit of 47?
7
What is the units digit of 2651?
1
What is the hundreds digit of 1046?
0
What is the units digit of 2548?
8
What is the ten thousands digit of 18889?
1
What is the thousands digit of 3060?
3
What is the thousands digit of 5664?
5
What is the ten thousands digit of 20844?
2
What is the tens digit of 606?
0
What is the hundreds digit of 7948?
9
What is the thousands digit of 51068?
1
What is the hundreds digit of 1088?
0
What is the units digit of 852?
2
What is the hundreds digit of 3853?
8
What is the units digit of 764?
4
What is the tens digit of 110?
1
What is the tens digit of 61364?
6
What is the units digit of 144258?
8
What is the hundreds digit of 26448?
4
What is the hundreds digit of 7762?
7
What is the units digit of 680?
0
What is the tens digit of 2501?
0
What is the tens digit of 4760?
6
What is the tens digit of 3008?
0
What is the tens digit of 539?
3
What is the tens digit of 1133?
3
What is the tens digit of 2799?
9
What is the units digit of 17452?
2
What is the tens digit of 13794?
9
What is the hundreds digit of 23407?
4
What is the hundreds digit of 13184?
1
What is the units digit of 714?
4
What is the thousands digit of 18446?
8
What is the thousands digit of 15322?
5
What is the thousands digit of 54270?
4
What is the tens digit of 72731?
3
What is the hundreds digit of 10102?
1
What is the units digit of 417?
7
What is the thousands digit of 4151?
4
What is the tens digit of 3848?
4
What is the hundreds digit of 6274?
2
What is the thousands digit of 3532?
3
What is the hundreds digit of 23128?
1
What is the units digit of 107404?
4
What is the tens digit of 48019?
1
What is the ten thousands digit of 47049?
4
What is the hundreds digit of 38284?
2
What is the hundreds digit of 2639?
6
What is the hundreds digit of 3085?
0
What is the tens digit of 16656?
5
What is the tens digit of 245?
4
What is the hundreds digit of 2061?
0
What is the hundreds digit of 7286?
2
What is the units digit of 15389?
9
What is the tens digit of 2383?
8
What is the ten thousands digit of 162815?
6
What is the tens digit of 603?
0
What is the hundreds digit of 695?
6
What is the units digit of 4420?
0
What is the hundreds digit of 1131?
1
What is the tens digit of 2181?
8
What is the tens digit of 25746?
4
What is the tens digit of 66837?
3
What is the tens digit of 228?
2
What is the ten thousands digit of 20413?
2
What is the units digit of 634?
4
What is the hundreds digit of 1278?
2
What is the thousands digit of 44811?
4
What is the tens digit of 1948?
4
What is the tens digit of 841?
4
What is the hundreds digit of 11326?
3
What is the hundreds digit of 53284?
2
What is the thou
|
{
"pile_set_name": "DM Mathematics"
}
|
*c**2.
93*c**3
Collect the terms in -218*v + 430*v - 215*v.
-3*v
Collect the terms in -6 + 2 - 144*u**2 + 4 + 152*u**2.
8*u**2
Collect the terms in -4*n**3 + 31*n - 31*n.
-4*n**3
Collect the terms in -3*r**2 - 219*r**3 + 3*r**2.
-219*r**3
Collect the terms in 16 + 47 + 34 - j.
-j + 97
Collect the terms in -161*s - 3 + 3 - 104*s.
-265*s
Collect the terms in 25*p**2 - 15*p + 26*p - 12*p.
25*p**2 - p
Collect the terms in 2*g**2 + 69723*g - 34857*g - 34866*g.
2*g**2
Collect the terms in -3*f + 3*f - 420 - 2*f + 3*f.
f - 420
Collect the terms in 5*d**3 - 4*d**3 + 2*d**3 + 2*d**3 + 5*d**3.
10*d**3
Collect the terms in -127*w**2 + 4 - 4 - 118*w**2 + 246*w**2.
w**2
Collect the terms in 2*m - 2*m - m.
-m
Collect the terms in 0*f**3 - 16*f**3 + 0*f**3.
-16*f**3
Collect the terms in 52*n**2 - 58*n**2 - 211*n**2.
-217*n**2
Collect the terms in 165*q - 77*q - 82*q.
6*q
Collect the terms in -2*s + 8*s + 2*s + 5*s.
13*s
Collect the terms in 5*q**2 - 27*q**2 - 24*q**2 - 2*q**2.
-48*q**2
Collect the terms in 8*o**2 + 3*o + 31 - 31 - 4*o.
8*o**2 - o
Collect the terms in 12*f + 0*f + 7*f - 5*f.
14*f
Collect the terms in -2*j**3 - 1272*j + 5*j**3 + 1272*j - 5*j**3.
-2*j**3
Collect the terms in 28 + 3*m - 4*m - 5.
-m + 23
Collect the terms in -69*n + 46 + 65*n - 46.
-4*n
Collect the terms in 100*b + 279*b - 16*b - 38*b - 2.
325*b - 2
Collect the terms in 4*m - 8*m + 0*m.
-4*m
Collect the terms in 28 - 28 - p**2.
-p**2
Collect the terms in -7*p**2 + 2*p - 15*p + 14*p.
-7*p**2 + p
Collect the terms in 5*g**3 + 8691*g**2 - 8691*g**2.
5*g**3
Collect the terms in -2*i + 17858 - 17858.
-2*i
Collect the terms in 27*a**2 - 16*a**2 + 8*a**2.
19*a**2
Collect the terms in 111*m - 47*m - 27*m + m**2 - 37*m.
m**2
Collect the terms in 64*c**3 - 5*c**3 + 13*c**3 + 46*c**3.
118*c**3
Collect the terms in 2*p - 7*p + 2*p - 3*p.
-6*p
Collect the terms in -480 - b + 480.
-b
Collect the terms in -1 + 8*o**2 + 0*o + 0*o - 4*o**2.
4*o**2 - 1
Collect the terms in -65 + 7*m + 65 + 0*m.
7*m
Collect the terms in 29 + 0*c - 29 - 2*c + c.
-c
Collect the terms in 224*y + 2*y**3 - 224*y + 5*y**3.
7*y**3
Collect the terms in 1389 - 1389 + 4*h.
4*h
Collect the terms in -20*x + 6*x + 4*x.
-10*x
Collect the terms in -1253*r - 9 + 9.
-1253*r
Collect the terms in 34 - 13*u + 3*u - 17*u.
-27*u + 34
Collect the terms in -21*x - 26*x + 76*x.
29*x
Collect the terms in -3*h + 457 - 457.
-3*h
Collect the terms in -5*k**2 + 5*k**2 - 1588*k**3 + 1587*k**3 + 0*k**2.
-k**3
Collect the terms in 127*v**2 - 52*v**2 - 61*v**2.
14*v**2
Collect the terms in 31*t - 31*t + 68*t**2.
68*t**2
Collect the terms in -117*n**3 + 361*n**3 - 120*n**3 - 123*n**3.
n**3
Collect the terms in -4*l**3 - 2*l**3 + 2*l**3.
-4*l**3
Collect the terms in -64*s**2 - 5*s**2 + 38*s**2.
-31*s**2
Collect the terms in -23 + 16 + 9*r**3 + 7.
9*r**3
Collect the terms in -1 + 1 - 3460*j**2.
-3460*j**2
Collect the terms in -64008014*p**2 + 2*p**3 + 64008014*p**2.
2*p**3
Collect the terms in 29*r + 26*r + 30*r - 100*r.
-15*r
Collect the terms in 4*j**3 - 6*j + 6*j.
4*j**3
Collect the terms in -18*a - 6*a - 21*a.
-45*a
Collect the terms in 0*q**3 - 51*q**2 + 4*q + 51*q**2 - 3*q**3.
-3*q**3 + 4*q
Collect the terms in -319 + 3*h + 160 + 159.
3*h
Collect the terms in -27 - 50 + 77 + 4*t.
4*t
Collect the terms in 3*s + 7*s - 10*s - 8*s**3.
-8*s**3
Collect the terms in -48*m**2 + 48*m**2 + 234*m**3.
234*m**3
Collect the terms in 5 + q + 4*q - 5.
5*q
Collect the terms in 148*o**3 - 3*o - 23*o**3 + 3*o.
125*o**3
Collect the terms in 0*u**3 + 15*u**3 - u**3.
14*u**3
Collect the terms in -8*s + 14*s - 16*s.
-10*s
Collect the terms in -10*u + 45*u + 4*u**3 - 35*u.
4*u**3
Collect the terms in 1 - 3 + 3 + 11 - 2*r.
-2*r + 12
Collect the terms in -585 - 11*d + 2*d + 585.
-9*d
Collect the terms in 10*t + 9*t - 4*t - 2 - 2*t.
13*t - 2
Collect the terms in 3*w**3 - 52 + 102 - 50.
3*w**3
Collect the terms in 0*o - 9*o + 2*o + 4*o.
-3*o
Collect the terms in 45*s - 134 + 134.
45*s
Collect the terms in 89 - 170 - 3*a**2 + 81.
-3*a**2
Collect the terms in 234*j + 208*j - 445*j.
-3*j
Collect the terms in 0*o**2 - 14*o**2 + 14*o**2 + o**2.
o**2
Collect the terms in -38*d - 47*d + 27 + 86*d.
d + 27
Collect the terms in -2*x**2 - x**2 + 6*x**2 + 5*x**2.
8*x**2
Collect the terms in -z + 0 + 3*z - 4*z + 32.
-2*z + 32
Collect the terms in -5 + 324161*g**2 - 324156*g**2 + 5.
5*g**2
Collect the terms in 14*u + 3*u + 22*u - 55*u.
-16*u
Collect the terms in -1 + 8*i - 6*i + 1.
2*i
Collect the terms in 11*c**3 - 14*c**3 + c**3 + 7*c**3.
5*c**3
Collect the terms in g**3 + 7*g**3 - g**3 - g**3.
6*g**3
Collect the terms in -18*r - 15*r + 24*r.
-9*r
Collect the terms in -a**3 - 2*a**3 - 31 + 0*a + 0*a.
-3*a**3 - 31
Collect the terms in -h + 7*h - 4*h + 3*h.
5*h
Collect the terms in q**3 + 6*q - 6*q - 2*q**2 + 2*q**2.
q**3
Collect the terms in -2*g - 1 + 1 - 32*g**3 + 4*g.
-32*g**3 + 2*g
Collect the terms in w + w - w - w + 2*w**2.
2*w**2
Collect the terms in 10*m**2 + 6*m**3 + 12*m**2 - 22*m**2.
6*m**3
Collect the terms in 6*t**2 + 102579 - 102579.
6*t**2
Collect the terms in -80*v**2 + 21*v**2 + 2*v + 39*v**2 - v.
-20*v**2 + v
Collect the terms in -1 + 7*p**2 + 1 + 0.
7*p**2
Collect the terms in 2*f**2 - 2*f**3 + 3*f**2 - 2*f**2 - 2*f**2.
-2*f**3 + f**2
Collect the terms in -92*p - 57*p - 12*p - 4 + 5.
-161*p + 1
Collect the terms in -10*o - 1 - 5*o + o - 8*o.
-22*o - 1
Collect the terms in 9*b**3 - 200 + 200.
9*b**3
Collect the terms in -2 + t - 5 + 7.
t
Collect the terms in -4*w**3 - 3*w**3 - w**3 + 3*w**3.
-5*w**3
Collect the terms in 4*s**3 - 5*s**3 + 0*s**3.
-s**3
Collect the terms in -193270 + 193270 - 9*v.
-9*v
Collect the terms in -2*q**2 - 2*q**2 - 2*q**2.
-6*q**2
Collect the terms in 6*h**2 - 455*h + 455*h - 2*h**2 - 3*h**2.
h**2
Collect the terms in -21*h**2 - 22*h**2 + 72*h**2 - 22*h**2.
7*h**2
Collect the terms in 1 + 0 + 7 - 8 - u**2.
-u**2
Collect the terms in -31*s**3 - 7*s + 7*s + 29*s**3.
-2*s**3
Collect the terms in -7*p + 0*p - 94703 + 94703.
-7*p
Collect the terms in -376 + 192 + 184 - 19*c.
-19*c
Collect the terms in 268*o**3 + 26*o**2 - 26*o**2 + 15*o**3.
283*o**3
Collect the terms in 176*l**3 - 1 + 186*l**3 - 366*l**3.
-4*l**3 - 1
Collect the terms in -1522*x**3 - 5*x + 5*x.
-1522*x**3
Collect the terms in 9 - 7 + 3 + 10 - 2*s**2.
-2*s**2 + 15
Collect the terms in -116*y + 48*y + 68*y + 3*y**2.
3*y**2
Collect the terms in 16364*v - 32733*v + 16371*v.
2*v
Collect the terms in -44*h**3 + 75*h**3 - 40*h**3.
-9*h**3
Collect the terms in 5905*g - 5905*g + 23*g**2.
23*g**2
Collect the terms in 59 - 17*u**2 + 61 - 120.
-17*u**2
Collect the terms in -6*a + 2 + 6 - 5*a.
-11*a + 8
Collect the terms in 0 - 250958*f + 0 + 250973*f.
15*f
Collect the terms in 31*t**2 - 192 + 192.
31*t**2
Collect the terms in -3 - 196*r**2 + 208*r**2 + 4*r - 4*r.
12*r**2 - 3
Collect the terms in 148*t + 142*t - 288*t.
2*t
Collect the terms in 18 - 29 + 11 + 18*s.
18*s
Collect the terms in 2 + 5 - 1 + 35*g**3.
35*g**3 + 6
Collect the terms in 10*t + 4*t + 8*t - 29*t + 9*t.
2*t
Collect the terms in -4 + 8*g + 0 + 4.
8*g
Collect the terms in 16 - 366*m**2 - 11*m**3 + 366*m**2 - 16.
-11*m**3
Collect the terms in -118*u**3 + 80*u**3 + 30*u**3.
-8*u**3
Collect the terms in l**2 + 4*l**2 + 0*l - 6*l**2 - 3*l.
-l**2 - 3*l
Collect the terms in -7*z**3 + 36*z**3 - 12*z**3 - 14*z**3.
3*z**3
Collect the terms in -49*c**3 - 46*c**3 + 100*c**3.
5*c**3
Collect the terms in -179*b + 62*b + 60*b + 59*b.
2*b
Collect the terms in 17 + 51 - 2*n - 2.
-2*n + 66
Collect the terms in -5*y + 5*y + 38*y**2.
38*y**2
Collect the terms in -2647*h**2 + 2647*h**2 - 3*h**3 + 3*h**3 - h**3.
-h**3
Collect the terms in -i - 2*i + 3*i - 407*i**2.
-407*i**2
Collect the terms in 177 - 177 + 10*z**3.
10*z**3
Collect the terms in -2*f**2 + 420 - 134 - 135 - 151.
-2*f**2
Collect the terms in -7*p**3 + 3*p**3 - 109*p**3.
-113*p**3
Collect the terms in 2*p**2 - 2*p**2 + 17*p**2 - p**2.
16*p**2
Collect the terms in 24*v + 26*v - 93*v + 22*v + 19*v.
-2*v
Collect the terms in 14 + d**2 + 16*d - 14.
d**2 + 16*d
Collect the terms in 24*d**3 - 63*d**3 + 35*d**3.
-4*d**3
Collect the terms in -1 - 286*w**2 + 1.
-286*w**2
Collect the terms in 19*k**3 - 12*k**3 + 1 + 13*k**3.
20*k**3 + 1
Collect the terms in -26 - 5 + 26 + 6*n**3.
6*n**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2/15*y**5 + w*y + 0 = 0. Calculate y.
-1, 0, 1
Factor 3/2*m**3 - 15/2*m**2 + 3/2*m**4 + 0 + 9/2*m.
3*m*(m - 1)**2*(m + 3)/2
Let r(l) be the first derivative of -3*l**5/10 - 39*l**4/4 - 169*l**3/2 + 83. Factor r(h).
-3*h**2*(h + 13)**2/2
Let s(z) be the second derivative of z**8/420 - z**7/105 - z**6/90 + z**5/15 - 37*z**3/6 - 3*z - 1. Let j(w) be the second derivative of s(w). Factor j(t).
4*t*(t - 2)*(t - 1)*(t + 1)
Let y(a) be the second derivative of -a**6/24 + 3*a**5/16 - 5*a**3/6 - 60*a - 4. Factor y(w).
-5*w*(w - 2)**2*(w + 1)/4
Let x be -11 - -12 - (-1)/(-1). Let h(t) be the first derivative of 3/2*t**3 + x*t - 3 - 1/2*t**2. Let h(y) = 0. Calculate y.
0, 2/9
Let p be (12/33)/(12/66). Let -15*k - 2 + 1 + 2*k**3 + 13*k - 2*k**p + 3 = 0. Calculate k.
-1, 1
Let w(l) = 7*l**4 - 40*l**3 + 105*l**2 - 45*l - 24. Let s(q) = -q**3 - q**2 - q. Let t(o) = 28*s(o) + 4*w(o). Find m such that t(m) = 0.
-2/7, 2, 3
Let z(j) be the first derivative of 12 + 0*j - 2/3*j**3 + 2*j**2. Let z(m) = 0. What is m?
0, 2
Let o = 7691 - 7689. Suppose -25/3 - 1/3*v**o - 10/3*v = 0. What is v?
-5
Let s(d) be the second derivative of 1/15*d**3 + 1/30*d**4 + 0 + 0*d**2 - 6*d. Factor s(w).
2*w*(w + 1)/5
Let g(d) = 22*d**5 + 6*d**4 - 16*d**2 + 16*d + 16. Let h(l) = -4 - 5*l**2 - 11*l + 16*l + 7*l**5 + 8 + 2*l**4 + 1. Let s(n) = 5*g(n) - 16*h(n). Factor s(c).
-2*c**4*(c + 1)
Let y = -3894/5 + 11707/15. Determine b so that -7/3*b**5 + 16/3*b**3 + 0*b - y*b**4 + 0 - 4/3*b**2 = 0.
-2, 0, 2/7, 1
Let 200/3*p + 2/3*p**2 + 5000/3 = 0. Calculate p.
-50
Let j(p) = -p**4 - 3*p**3 + 4*p + 3. Let y(f) = 304*f + f**3 + 1 - 304*f + f**4. Let i(s) = -j(s) + y(s). Suppose i(g) = 0. Calculate g.
-1, 1
Let u be 32/12 + (-2)/(-6). Suppose -4*x**2 + x - 2*x - 6*x**u + 3*x = 0. Calculate x.
-1, 0, 1/3
Let p = -1139 + 1141. Factor 0 - 8/3*a**p + 2/3*a + 2*a**3.
2*a*(a - 1)*(3*a - 1)/3
Let l(h) = 3*h - 1. Let n(y) = 5*y**2 - 118*y + 841. Let v(i) = -4*l(i) + n(i). Suppose v(q) = 0. Calculate q.
13
Let v(t) be the third derivative of -147*t**5/4 + 35*t**4/4 - 5*t**3/6 + t**2 - 193. Factor v(g).
-5*(21*g - 1)**2
Let s = 59 + -20. Factor -s*w + w**2 + w**2 + 41*w.
2*w*(w + 1)
Factor -1078*s**3 + 0 + 124*s**4 - 173*s**2 - 4 + 16*s - 373*s**2 - 98*s + 562*s**4.
2*(s - 2)*(7*s + 1)**3
Let t(k) be the first derivative of -k**5/660 + k**4/44 - 5*k**3/66 - 9*k**2/2 + 23. Let y(z) be the second derivative of t(z). Factor y(x).
-(x - 5)*(x - 1)/11
Let n(s) be the second derivative of s**5/100 - 3*s**4/20 + 9*s**3/10 - 27*s**2/10 - 73*s. Factor n(k).
(k - 3)**3/5
Let m be (-56)/(-13) + ((-13)/(-156) - 98/24). Factor -8/13*t**2 + 10/13*t + 2/13*t**3 - m.
2*(t - 2)*(t - 1)**2/13
Suppose -239 - 22 + 60 = -67*y. Solve -3/2*i**y + 0 + 1/2*i**2 - 1/2*i**4 + 3/2*i = 0 for i.
-3, -1, 0, 1
Let c(u) be the second derivative of 13*u - 2*u**3 + 1/3*u**4 - 8*u**2 + 0. Determine d, given that c(d) = 0.
-1, 4
Let t(j) be the first derivative of 3*j**5/100 - 3*j**3/10 - 3*j**2/5 - 15*j + 11. Let w(q) be the first derivative of t(q). Factor w(k).
3*(k - 2)*(k + 1)**2/5
Let q(b) = b**2 + 12*b - 13. Let l be q(-14). Suppose -4*h = -l*h. Factor h + 3/4*g**3 + 0*g**2 + 0*g.
3*g**3/4
Factor -2/5*g**2 + 18 + 8/5*g.
-2*(g - 9)*(g + 5)/5
What is v in -75/8*v + 9/4*v**4 + 9/2*v**2 - 3/8*v**5 + 39/4*v**3 - 27/4 = 0?
-2, -1, 1, 9
Suppose -1 + 5 = 2*v, -v = 3*t - 8. Factor -10 + i**t - 16*i + 22 - 5*i**2 - 28.
-4*(i + 2)**2
Let k be 1 + 6 + (3 - 3). Let i be (k/(-6))/(54/(-12) - -4). Factor 3*n**2 + 1/3*n**4 + 2/3 + 5/3*n**3 + i*n.
(n + 1)**3*(n + 2)/3
Let c = -192 - -374. Let q = c - 545/3. Factor 1/3*z**2 + 1/3*z**3 - 1/3*z**4 - q*z + 0.
-z*(z - 1)**2*(z + 1)/3
Let y(z) be the first derivative of -z**6/960 + z**4/64 + z**3/24 + 9*z**2 + 6. Let f(c) be the second derivative of y(c). Factor f(d).
-(d - 2)*(d + 1)**2/8
Suppose -12/7 - 4/7*o**4 + 12/7*o**3 - 10/7*o - 2/7*o**5 + 16/7*o**2 = 0. What is o?
-3, -1, 1, 2
Let l(h) = -7*h**4 - 75*h**3 + 234*h**2 - 232*h + 6. Let i(q) = -65*q**4 - 675*q**3 + 2105*q**2 - 2090*q + 55. Let z(w) = 6*i(w) - 55*l(w). Factor z(n).
-5*n*(n - 11)*(n - 2)**2
Let f be -1 + 11 - (2 + -3). Suppose -5*v = 2*x - f, -v + 9 = -0*v - 3*x. Factor -v + 23*k**2 - 10*k - 170*k**2 - 2*k - 30*k.
-3*(7*k + 1)**2
Let n = 14 - 1. Find a, given that 10*a - n + 11 + 17*a**2 - 5*a**2 = 0.
-1, 1/6
Let m = -23 - -31. Determine g, given that 2*g + 4*g**3 - 13*g**3 + g**2 - 1 - g + m*g**3 = 0.
-1, 1
Let b(d) be the first derivative of -d**6/3 + 8*d**5/5 - 3*d**4/2 - 8*d**3/3 + 4*d**2 + 342. Solve b(o) = 0 for o.
-1, 0, 1, 2
Let d(s) = -5*s**2 + 50*s. Let o(m) = -10*m**2 + 100*m. Let r(q) = 7*d(q) - 4*o(q). Factor r(h).
5*h*(h - 10)
Let z(i) be the second derivative of -i**6/6 + 11*i**5/40 + 31*i**4/24 - 5*i**3/3 - 3*i**2 - 10*i + 3. Solve z(b) = 0.
-3/2, -2/5, 1, 2
Suppose 9 = 3*d - 3*y, -5*y = 2*d + 3*d - 55. Let w be 1 - (-3 + d)/(-8). Determine l so that -l**3 + 0 + w*l**2 + l = 0.
-1/2, 0, 2
Suppose 35*i = 33*i + 8. Let t(y) be the third derivative of 0*y + 0*y**3 + 1/120*y**6 + 5*y**2 + 1/105*y**7 + 0*y**i + 1/336*y**8 + 0 + 0*y**5. Factor t(g).
g**3*(g + 1)**2
Suppose 0 = -2*l + 4*f + 8, 4*f - 5 - 15 = -5*l. Solve 30*i**3 + 5*i**2 + 2*i**3 - 10*i + 25*i**l + 8*i**3 = 0.
-1, 0, 2/5
Let r(v) be the first derivative of 13*v**6/6 - 22*v**5/5 - 2*v**4 + 26*v**3/3 - 5*v**2/2 - 4*v - 143. Let r(o) = 0. Calculate o.
-1, -4/13, 1
Let j = -306 - -919/3. Let q(p) be the third derivative of 0*p - 1/12*p**4 + j*p**3 + 0 + 3*p**2 - 1/30*p**5 + 1/60*p**6. Let q(n) = 0. Calculate n.
-1, 1
Let j(g) be the third derivative of g**8/40320 + g**7/2520 + g**6/480 + g**5/5 - 10*g**2. Let i(f) be the third derivative of j(f). Let i(h) = 0. What is h?
-3, -1
Let z(d) = 5*d - 4. Let a be z(7). Suppose o - 3 = -2*g, -3*o - 6 + a = -2*g. Factor -o*q**2 + 3*q - 5*q - 9*q**3 - 5*q**4 + 0*q**4 - q**5.
-q*(q + 1)**3*(q + 2)
What is n in -3/7*n**3 + 0 - 3/7*n**4 + 24/7*n**2 + 36/7*n = 0?
-2, 0, 3
Let w(z) be the second derivative of 3*z**5/100 - 5*z**4/2 + 63*z. Solve w(g) = 0.
0, 50
Let a = 73/558 - -17/186. Find j such that 4/9*j + 2/9 + a*j**2 = 0.
-1
Let b(j) be the first derivative of 25*j**3/9 - 55*j**2/3 + 40*j/3 - 107. Factor b(q).
5*(q - 4)*(5*q - 2)/3
Suppose -271*t - 36 = -289*t. Let v(p) be the first derivative of 0*p**3 + 0*p**t + 2/15*p**5 - 1/3*p**4 + 0*p + 5. Find c such that v(c) = 0.
0, 2
Let p be 4/10*(-1 + 6). Suppose -5*h - 9 = -p*u, -u - 3*h - 2*h = 3. Factor 0*r - 1/3*r**5 + 1/3*r**3 - 1/3*r**4 + 0 + 1/3*r**u.
-r**2*(r - 1)*(r + 1)**2/3
Factor -1250/7 - 100/7*v - 2/7*v**2.
-2*(v + 25)**2/7
Suppose 4*o + 0*w = -4*w - 44, -o + w = 19. Let k be (-2 - -8)*o/(-10). Factor -3*g**2 + k*g**3 - 2*g + 0*g**2 - 3*g - g.
3*g*(g - 1)*(3*g + 2)
Let h(z) = -z. Suppose 1 - 7 = -6*k. Let b(r) = -5*r**2 - 16*r - 20. Let m(l) = k*b(l) + 4*h(l). Factor m(u).
-5*(u + 2)**2
Let d(z) = -15*z**4 + 10*z**3 + 10*z**2 + 10*z - 5. Let a(u) = -u**4 + u**3 + u. Let w = -21 - -22. Let q(t) = w*d(t) - 10*a(t). Factor q(b).
-5*(b - 1)**2*(b + 1)**2
Let d(w) be the second derivative of -3*w**5/5 + 39*w**4/4 - 27*w**3 - 24*w**2 - 4*w + 7. Factor d(y).
-3*(y - 8)*(y - 2)*(4*y + 1)
Let y(m) be the second derivative of 11*m**6/225 - m**5/75 - 77*m**4/90 + 16*m**3/9 - 4*m**2/5 + 2*m + 21. Suppose y(g) = 0. Calculate g.
-3, 2/11, 1, 2
Let m be (215/(-50) - -10) + 3/(-10). Factor -m*k**2 + 3/5 + 24/5*k.
-3*(k - 1)*(9*k + 1)/5
Let f(d) be the first derivative of -5*d**4/4 + 340*d**3/3 + 110. Factor f(x).
-5*x**2*(x - 68)
Let i = 24 - 57. Let f = i + 36. Find h such that -2/7*h**2 - 2/7*h**f + 2/7 + 2/7*h = 0.
-1, 1
Suppose 2*b + 7 = 3*b. Suppose 11 = 4*g - 4*f + f, 0 = -3*g + f + b. Let 0*x**2 + x**2 + 4*x**g + 42*x + 8*x + 125 = 0. What is x?
-5
Let u be (2 - 4) + -4 + 8. Suppose -4*j = -u*j - 6. Factor 2/7*d + 4/21*d**2 + 0 - 2/21*d**j.
-2*d*(d - 3)*(d + 1)/21
Suppose -20 + 50 = 6*w. Let s(o) be the second derivative of 0*o**2 + 0*o**w - 1/48*o**4 - 1/48*o**3 + 3*o + 1/120*o**6 + 0 + 1/336*o**7. Factor s(m).
m*(m - 1)*(m + 1)**3/8
Let k(r) be the second derivative of r**5/40 - r**4/8 - r**3/12 + 3*r**2/4 - 38*r. Factor k(x).
(x - 3)*(x - 1)*(x + 1)/2
Factor 33/8*x**3 - 195/4*x**2 - 375 + 475/2*x - 1/8*x**4.
-(x - 10)**3*(x - 3)/8
Let 25/3*l**3 - 20/3 + 5/3*l**4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
45
Let a(y) = -69*y + 1. Let i be a(-1). Let t be ((-22)/8)/11 + (-1312)/(-128). Calculate the greatest common factor of t and i.
10
Let n(i) = 1754*i + 638. Let t be n(2). Calculate the highest common divisor of 18 and t.
6
Suppose -k = -5*r + 701, -2*r = 14*k - 13*k - 279. Let w be r + (-13)/((-104)/(-16)). What is the highest common divisor of 6 and w?
6
Let l = -49 + 54. Let b be 2/5 + (108/l)/6. Let g be 86 + (2 - b)*1. What is the greatest common factor of 12 and g?
12
Let v be ((-24)/(-5))/(2941/(-425) - -7). What is the greatest common divisor of 315 and v?
15
Let t be 0 - -94 - (12 - 10). Let a be (t + -126)/((-2)/10 + 0). What is the greatest common factor of 10 and a?
10
Suppose 3*t + 38 - 155 = 0. Suppose i - 39 - t = 0. What is the greatest common divisor of i and 117?
39
Let d be (9/(-5))/((273/1105)/(-7)). Let p = 154 - 86. Calculate the greatest common divisor of d and p.
17
Suppose -t = -4*t. Suppose t = -3*d - 11 + 185. Suppose -729 = -5*i - 2*y, 38*y - 37*y = 5*i - 723. What is the highest common factor of i and d?
29
Let z be ((-24)/26)/((-1860)/64480). What is the greatest common divisor of z and 2?
2
Let f be (-3)/(-9) + (-112)/21. Let p(w) = w**2 + 7*w + 12. Let r be p(f). Suppose 6 = 4*o - r. What is the highest common factor of 12 and o?
2
Suppose 2*m + 3*b - 431 = 0, -2*m - 4*b + 562 = 124. Calculate the greatest common factor of m and 20.
5
Let b = 13 + 39. Let f = -9296 - -9439. What is the highest common factor of f and b?
13
Suppose 4*g + 5*s + 6 = 3, 2*g = 3*s - 29. Let c be g/(273/(-6)) - 76/(-13). Let h be (84/(-15))/(c/(-75)). Calculate the highest common divisor of h and 14.
14
Let u(p) be the third derivative of -p**6/120 + 11*p**4/24 + 7*p**3/6 + 203*p**2. Let j be u(-7). Calculate the highest common factor of j and 117.
39
Let s be (168/7)/(4 - 26/8). Calculate the highest common divisor of 428 and s.
4
Let r = 20 - 23. Let p be 2/(5/(-2) - r). Suppose p*x - 2 = 82. Calculate the greatest common factor of 3 and x.
3
Let z(o) = 1345*o**2 + o**3 + 33*o - 708*o**2 - 84 - 668*o**2. Let c be z(30). What is the greatest common divisor of c and 21?
3
Let c(o) = 171*o + 5356. Let x be c(-31). Calculate the greatest common divisor of 55 and x.
55
Let s be ((-18)/(-4))/((-20)/(-480)). Let h = s - 58. What is the greatest common factor of 10 and h?
10
Let q(n) = -2*n**3 - 30*n**2 - 90*n. Let r be q(-11). What is the greatest common factor of 22 and r?
22
Let y be (408/(-28))/((-4471)/7854 - 12/(-22)). Calculate the greatest common factor of y and 114.
6
Let a(n) = n**3 - 39*n - 2. Let x be a(-6). Let z(h) = -3 + h - 3 + 3*h**2 + 0. Let c be z(2). Calculate the highest common factor of x and c.
8
Suppose -2*b + 42 + 4 = 0. Suppose 412 = 11*s + 335. Let f(x) = x**3 - 6*x**2 + 17*x - 7. Let w be f(s). Calculate the greatest common divisor of b and w.
23
Suppose n - y - 83 = 0, -2*n + 121*y = 126*y - 173. What is the highest common factor of n and 273?
21
Let g be (-766)/(-5) - 1/5. Suppose 12 = 2*o + 2*o, -g = -5*d - o. Suppose 2*t = -2*k + d, -3*t + 43 = 5*k - 4. What is the highest common factor of 49 and t?
7
Let u = 13 - 10. Let i be 651/231 + (-4)/(-22). Calculate the greatest common factor of u and i.
3
Suppose 0 = 3*z - 32*a + 34*a - 959, -871 = -3*z - 13*a. What is the highest common divisor of z and 845?
65
Suppose 5*u - 71 + 951 = -2*a, 0 = 3*u - 4*a + 528. Let d(v) = -108*v - 4. Let h be d(-3). Let k = u + h. What is the greatest common factor of 16 and k?
16
Let c(d) = -d**2 + 10*d - 6. Let y be c(4). Let h = 193 - 188. Suppose 0*o = h*o + k - 632, 0 = -2*o - 3*k + 258. What is the greatest common factor of o and y?
18
Let j = 4434 + -3329. Calculate the greatest common factor of 510 and j.
85
Let b = -236 - -547. Suppose 12 = 4*g, 5*y - 30*g + 27*g - b = 0. Calculate the highest common factor of 32 and y.
32
Suppose -2080 = -4*t + 4*z, -18 = -42*z + 45*z. What is the greatest common divisor of t and 35209?
257
Suppose 1967 - 161699 = -54*k. What is the highest common factor of 261 and k?
87
Suppose 296336 + 1885714 = 393*y - 2390505. Calculate the highest common divisor of y and 130.
65
Suppose -270*p + 269*p = -752. Calculate the greatest common divisor of 470 and p.
94
Let x(t) = -2*t**3 - 18*t**2 - 41*t - 16. Let r be x(-6). Calculate the greatest common divisor of r and 86.
2
Let p(m) = -3*m - 5. Let f be p(-3). Suppose 29 = 5*z + f. Suppose 0 = -5*y + 4*b + z, b - 6*b = -2*y + 2. What is the greatest common factor of y and 3?
1
Let x(g) = 24*g**3 - 12*g**2 + 204*g - 1280. Let j be x(8). What is the greatest common factor of 560 and j?
112
Suppose 630 + 42 = 8*q. Suppose q*o = 74*o + 910. Let n(r) = 2*r**2 - 3*r - 1. Let m be n(-3). What is the greatest common factor of o and m?
13
Suppose 0 = -2*y - 0*y - 8. Let p be -113*3/((-4)/y). Let w be (-1 + p/(-9))/((-2)/(-6)). Calculate the greatest common divisor of w and 44.
22
Suppose 3*t - 3 = 33 - 3. Calculate the highest common factor of 2519 and t.
11
Suppose 232*p = 1746437 + 1596451. What is the highest common divisor of p and 18?
9
Suppose 12*i = 7*i - 1515. Let j = 67 - i. What is the greatest common factor of 222 and j?
74
Let g be (-6)/(-9) - (-2289)/9. Let u = g - 155. Calculate the highest common factor of u and 550.
50
Suppose -y + 1 = -29. Let j(k) = -2*k**3 + k. Let z be j(-1). Let d be 2 - 2*(z - 3). Calculate the greatest common divisor of y and d.
6
Suppose 50*q - 43*q = 21. Suppose -w + q*c + 140 = 0, 0 = w + 20*c - 21*c - 132. Calculate the greatest common divisor of w and 288.
32
Let c = 333 + 0. Suppose -3*o - 258 = -c. Let v = 491 + -291. What is the highest common divisor of o and v?
25
Suppose 5*z = -3*t + 30, 5*z - t - 16 = -6. Let q be (-10)/2 + -4*(-4 + z). Let i be 2*(-2)/4*(q - 4). What is the greatest common divisor of 55 and i?
5
Let k be 3/(-2 - -5)*3. Suppose 3*m = -2*o + 13, 4*o - 3*o - 8 = -k*m. What is the greatest common factor of o and 80?
5
Let l be 23*(-1)/(-5) - (-10)/25. Suppose -l*n + 10*n = 10. Suppose -2*v - n*c - 4 = -2, 2*v - 2*c - 10 = 0. Calculate the highest common divisor of v and 1.
1
Let c = -15 + 13. Let h be (54/(-10) + 3)*85/c. Let m(d) = 9*d - 2. Let o be m(4). Calculate the highest common divisor of o and h.
34
Suppose -m + 378 = 3*y, 60*y - 386 = -m + 59*y. Calculate the greatest common factor of m and 14170.
130
Suppose 2*m - 10 = 164*u - 162*u, -5*u + 19 = -m. What is the highest common divisor of m and 315?
1
Suppose 4*d = 3*t - 11666, 4*t - 15116 = 4*d + 440. What is the greatest common divisor of t and 10?
10
Let c be ((-9)/(-5))/((-234)/(-8580)). Calculate the highest common divisor of c and 330.
66
Suppose 8 = 3*k - 2*k - 3*q, -q = -4*k + 10. Let d be 5/(6 - k - 3). Suppose 10 = -d*h + 6*h. Calculate the highest common divisor of 40 and h.
10
Let z = -19528 - -24584. Calculate the greatest common factor of 192 and z.
64
Suppose -l = 12*b - 16*b, 3*l = -2*b. Suppose b = -2*i - 3 + 45. Calculate the greatest common divisor of i and 399.
21
Let r be 4/3*(10 + (-36 - -998)). Calculate the greatest common divisor of r and 240.
48
Suppose 4*l + 5 = i + 3*l, 0 = 2*i + 2*l + 2. Let b be (-63)/i*(-15 - -11). Let u = -8 + 26. Calculate the highest common factor of b and u.
18
Suppose 42*l - 43*l = -45. Let w be 4/((-4)/(-5))*1. Suppose -w*x = -2*b - 20 + 71, 2*b + 2*x - 30 = 0. Calculate the highest common divisor of l and b.
9
Let j(s) = -s**3 - 55*s**2 - 125*s - 857. Let o be j(-53). Let l = 417 - 297. What is the highest common divisor of l and o?
30
Let s be (-4)/18 + -16*2737/(-153). Let y be (-392)/(-3) + 2/(-3). Calculate the highest common factor of y and s.
26
Let a(r) = r**2 - 4*r + 24. Suppose -175 = -24*k + 41. Let j be a(k). Calculate the greatest common divisor of j and 161.
23
Let b = -828 - -1719. What is the highest common divisor of b and 22?
11
Suppose -5*i - 3*t + 107 = -t, 100 = 4*i - 2*t. Suppose 896 = i*u - 15*u. Calculate the greatest common factor of 16 and u.
16
Let m(u) = -u + 31. Let b be m(22). Suppose -5*l = 3*h - 30, 3*l + b = -4*h + 60. What is the greatest common divisor of 75 and h?
15
Let i = 297 - 296. Let q(o) = o**2 - 3*o - 5. Let a be q(-2). Suppose 3*g - 4*u - u = -2, -a*u = -4*g - 1. Calculate the greatest common factor of g and i.
1
Let z = 8 - 6. Let n b
|
{
"pile_set_name": "DM Mathematics"
}
|
llest value in v, 1, w?
w
Let s = 88 + -87.96. Which is the third smallest value? (a) 0.06 (b) s (c) 3
c
Let f = 0.4 - 0.9. Let r = -0.511 + 0.411. What is the third biggest value in f, -0.3, r?
f
Let h = -2.096 - 2.098. Let d = h - -0.194. Let n be 2/((2 + 1)/6). What is the smallest value in d, n, 1/2, -0.1?
d
Let n = -10.466 + 6.466. Which is the third smallest value? (a) n (b) 8 (c) -35 (d) 1
d
Let v = -217 + 214. Let w be (32/v)/8*3. Which is the smallest value? (a) w (b) 2/7 (c) 5
a
Let b = 6 + -11. Suppose -o = -0 + 1. Let f = -120864 - -120862. What is the second smallest value in b, o, f?
f
Let r = -30 + 30.04. Let y = -151/10 + 224/15. Which is the biggest value? (a) 1.4 (b) r (c) y
a
Let j = 1356 - 1324. Let d be (-2 - 317/(-9)) + -1. Let a = d - j. What is the second smallest value in -11, -4, a?
-4
Let i be 3/((-28)/((-21)/(-3))). Which is the third biggest value? (a) 0.1 (b) 0.0487 (c) i
c
Let v = -9052.1 - -9052. Let m = 1.1 - 8.1. Let r = m + 11. Which is the second biggest value? (a) -0.2 (b) r (c) 3/4 (d) v
c
Let i = 608 + -428. Let g = -3062/17 + i. Which is the second biggest value? (a) 2/9 (b) 0.5 (c) -0.2 (d) g
a
Let h = 199 + -200. Let y = 4 + -11/4. Suppose 25 = 5*n - 0*n. Which is the third smallest value? (a) -31 (b) h (c) y (d) n
c
Let i = -568745/219 + 2597. Which is the smallest value? (a) -2/7 (b) i (c) -0.4
c
Let t be (-27 - -15) + (-118)/(-10). Which is the second smallest value? (a) t (b) 5/3 (c) -8
a
Let x be 2/8*22 - 50/100. Let t = 8.8 + -9.1. Which is the third smallest value? (a) x (b) 1.7 (c) t
a
Let p = -24 - -23.6. Suppose -3*x = 4*i - 2 - 3, 5*x + 3 = -i. What is the third smallest value in x, p, 1/4?
1/4
Let n = -182.246 + 0.246. Let s = n + 179. Let a = 5 - 7. What is the second smallest value in s, a, 2/3?
a
Suppose 20*d + 11132 + 6828 = 0. Let s = d + 4493/5. Which is the third smallest value? (a) -2/3 (b) 4 (c) s
b
Let k = -4.9 - 21.1. Let v = 21 - k. Let c = v - 47.2. What is the third biggest value in c, 0, -1, 2/3?
c
Let x = 9518.1 - 9518. What is the fourth smallest value in 17/4, 5/2, x, -3?
17/4
Let p = -19589 - -19587. Which is the third biggest value? (a) p (b) -5/4 (c) 0 (d) -0.03
b
Suppose 18 = -2505*m + 2508*m, -d + 2*m - 15 = 0. What is the second smallest value in 0, d, 1/3, -2/3, 19?
-2/3
Let v = 0.00635 + -0.30635. Which is the fifth biggest value? (a) 2 (b) 5/2 (c) -4/5 (d) v (e) -3
e
Let u(r) = r**3 - 42*r**2 - 2*r + 90. Let t be u(42). Which is the second smallest value? (a) t (b) -2/15 (c) -2/5
b
Let g(w) = w - 16. Let k be g(19). Let m = -394 - -395. What is the second smallest value in m, 5, k, 4?
k
Let x(k) = 53*k - 1166. Let l be x(22). Which is the second smallest value? (a) 3 (b) -4 (c) l (d) -0.08
d
Let i = 1049 - 654. Let g = i + -366. Which is the third biggest value? (a) g (b) -2/15 (c) 1/5
b
Let v = -85.1636 - 1.8364. Which is the second biggest value? (a) -0.3 (b) -2/3 (c) v (d) 0.3
a
Let i = 210.994 + -211. Let q = -0.024 + i. Let p = -10 - -10.4. Which is the third smallest value? (a) q (b) 2 (c) p
b
Let y(p) = p**2 + 15*p - 253. Let n be y(-25). Which is the biggest value? (a) 11/7 (b) -1 (c) 1 (d) 0.2 (e) n
a
Suppose -5*s = 4*n - 29, 24*n + s - 17 = 26*n. Let g = 0.08 + 0. Let m = -3.08 + g. Which is the smallest value? (a) -0.4 (b) m (c) n
c
Let n = -8.544 + 13.544. Let j = -14 + 14.07. Let q = 0.229 + -0.029. Which is the smallest value? (a) n (b) q (c) j
c
Let m = -1.26 - -1.36. Which is the third smallest value? (a) 0.5 (b) m (c) -4 (d) -0.1 (e) 4
b
Let l = 2427.7 - 1836. Let k = l + -592. Which is the third smallest value? (a) -16 (b) k (c) -5
b
Let x = -528 + 532. What is the third smallest value in -1, -183, x?
x
Let q = -2518 - -5045/2. Let w = 0.4 + -0.2. Suppose 3 = p - 1. Which is the third smallest value? (a) p (b) -3 (c) w (d) q
a
Let l(m) = m**3 - 11*m**2 - 24*m + 3. Let o be l(13). Suppose 19*g + o + 9 = 0. Which is the third smallest value? (a) g (b) 2/17 (c) -0.1 (d) -0.02
d
Suppose -61*z = 605 - 727. Let m = -7.3 + 7. Let o = 0.4 - -0.1. Which is the smallest value? (a) z (b) m (c) 4 (d) o
b
Let b = -4034.6 - -4035. What is the third biggest value in b, -210, 0.24?
-210
Let a = 4.08 - 4.0991. Let g = 41.9809 - a. What is the smallest value in g, -2, -0.5, 0?
-2
Let o = 12.8 - -225.2. Let f = o + -237.9. Which is the third biggest value? (a) f (b) -0.5 (c) -2 (d) 4
b
Let h(w) = -w**3 + 27*w**2 + 62*w - 126. Let p be h(29). Let n = 54 - 54.4. What is the second smallest value in 2, p, n?
n
Let c = 25.54 + -25.74. What is the smallest value in 1, -2/27, c, 0.3, -4?
-4
Let h = 59.664 + -4.854. Let r = 0.81 - h. Let w = r - -54.03. What is the second smallest value in 2, w, -0.5, 1/3?
w
Let z = 487 - 475. Which is the fifth biggest value? (a) z (b) 1/3 (c) 0 (d) 3 (e) -3.3
e
Let o = 5 + -5. Let x = -115 + 112. Suppose 2*g - 5*q - 114 = 0, -g + 18 + 36 = -q. Which is the third smallest value? (a) o (b) x (c) g
c
Let s = -116/3 + 38. Let r = 976 + -976.4. Which is the fourth biggest value? (a) 1/4 (b) r (c) 0.4 (d) s
d
Let x = -105.9 + 106.7. Which is the second smallest value? (a) x (b) -15 (c) 1
a
Let p = -14761 - -14763. What is the third biggest value in -2/17, 0.2, -3/5, p?
-2/17
Let b = 677 - 677.0381. What is the smallest value in b, 3, -0.1?
-0.1
Let k be 10/6*(-21)/14*4/(-245). What is the biggest value in 0.3, k, 1, -0.2, -2/3?
1
Let o be 10/14*(-4)/(-10). Let n = 0.2192 - 0.0192. What is the second biggest value in -1/27, o, n?
n
Suppose -4*w = -43*u + 48*u - 31, 3*w - 15 = -u. Which is the third biggest value? (a) -0.3 (b) -1.2 (c) -6 (d) u
b
Suppose 9*r + 3*r + 39 = -r. What is the fourth smallest value in 5, 6/7, r, -0.5?
5
Suppose -26*d = 23*d + d. Let f be 5/(-3)*(-12)/56. What is the biggest value in 2, f, d, 1/5?
2
Let k = -2 + 1. Let l = 112766 + -1013191/9. Let x = -189 + l. Which is the second biggest value? (a) k (b) 0.03 (c) x
b
Let g(k) = -9*k - 3*k + 18*k. Let l be g(4). Let h = 21 - l. What is the fourth smallest value in h, 4, -6/5, 0.5?
4
Suppose 410*m = 408*m + 58. Suppose -i = -m*i - 140. What is the biggest value in 0, 0.5, 0.4, i?
0.5
Let r = 2.14 + -0.14. Let z = -3.2 - 31.8. Let j = 34.9 + z. Which is the biggest value? (a) r (b) j (c) 1
a
Suppose -2113 = -102*u + 189 + 1880. What is the third smallest value in u, -1, 1?
u
Let f = 1493.1 - 1508.1. Which is the biggest value? (a) -5 (b) f (c) 3.2
c
Let q = -3.761 + 7.761. Let k = -3 + 0. Which is the third smallest value? (a) 69 (b) k (c) q
a
Let w = -61 + 91. Suppose -w*v + 4 = -29*v. Which is the biggest value? (a) v (b) -3 (c) -80
a
Let t(f) = -f - 10. Let z be t(-15). Let w = 1053.3 + -1053. What is the smallest value in w, z, 0, -1/4?
-1/4
Let r be (-1250)/(-20)*(-5 + -5). Let u = -6869/11 - r. What is the biggest value in u, 3, -2/13, 0?
3
Let l = 27/5 + -6. Let f = -2/5 - l. Which is the third biggest value? (a) -1/5 (b) f (c) -0.34
c
Let c be 52/(-9) + (-10)/45. Let b be (-85)/210 - 3/c. Suppose 0*u = 2*u + 3*a - 15, u + 5*a = 18. What is the second smallest value in u, b, 0?
b
Let q = 431 + -431.69. Let l = 0.72 + q. Which is the third biggest value? (a) l (b) -2/5 (c) -1/9
b
Let o = -35.3 - -127.3. Let q = o - 91.94. Which is the second smallest value? (a) q (b) 4 (c) -2/9 (d) 9
a
Let i = -1 + 2. Let g = -0.0987 - -10.8387. Let u = 10.34 - g. Which is the third smallest value? (a) i (b) 5 (c) u (d) -1/7
a
Let i = -0.253 + 0.553. Let z = i + 0. Which is the second smallest value? (a) -0.4 (b) -5 (c) z
a
Let s = 0.11 - 4.11. Let a(v) = 4*v**2 - 9*v - 62. Let m be a(6). What is the smallest value in s, m, -1/3?
s
Let n = 0.09 - 8.09. Let f = 9 - 9.3. Suppose -2*g - 5*p = -0*g, 3*p = -3*g. What is the smallest value in f, g, n?
n
Let g = 371 - 560.3. Let a = -189 - g. What is the third biggest value in 2/11, a, -1/6?
-1/6
Let i = 0.869 + -0.899. What is the biggest value in i, -5.2, 0.5?
0.5
Let k = -884 - -830. Let r = 2 - k. Which is the biggest value? (a) r (b) 3 (c) 0.2 (d) -5
a
Let c be (-276)/1656*27/(-4). What is the fourth smallest value in c, -0.5, -6, 5/4?
5/4
Let f = -6.21 - -9.166. Let d = 13 +
|
{
"pile_set_name": "DM Mathematics"
}
|
*z**2 + 7*z - 4. Let v be q(7). Let r(a) = 9*a**2 - 36*a - 167. Let x be r(-4). Let n(k) = -114*k + 2 + 240*k - x*k + 2*k**2. What is n(v)?
14
Let g(s) be the third derivative of s**6/120 + s**5/60 - s**4/24 + 2*s**3/3 - 127*s**2 + 5*s. Give g(-3).
-11
Let s(m) = 10*m**2 + 170*m + 48. Let b(n) = 6*n**2 + 110*n + 32. Let t(c) = 11*b(c) - 7*s(c). Give t(6).
-8
Let y(w) be the second derivative of 2*w**3/3 + 2*w**2 - 11761*w. Let q(r) = 3*r - 1. Let x be q(-2). Give y(x).
-24
Let g(q) = 12*q**2 + 56*q + 25. Let b(s) = -7*s**2 - 33*s - 12. Let i(v) = 5*b(v) + 3*g(v). Give i(0).
15
Suppose 855*j + 10 = 865*j. Let i(v) = 4*v + 1. Let p(r) = 19*r - 10. Let t(l) = j*p(l) - 4*i(l). What is t(8)?
10
Suppose 56*n = 82*n - 42 - 140. Let q(t) = -t**2 + 14*t - 52. Determine q(n).
-3
Let j(v) be the first derivative of v**2 + 5*v + 53835. Suppose r + 3*w + 9 = 0, -2*r - 5 = 3*w + 10. Calculate j(r).
-7
Suppose -48 = -3*o - 9*o. Suppose 6*t - 7*t - o = 0. Let i(u) = u**3 - 2*u**2 + u. Let d(z) = -2*z**3 + z**2 - 2*z. Let g(x) = 2*d(x) + 3*i(x). What is g(t)?
4
Let q(w) = -5*w**2 - 53*w + 42*w + w**3 + 22 + 5*w. Calculate q(5).
-8
Let f(i) be the third derivative of -i**4/24 - 41*i**3/6 - i**2 - 11. Determine f(-35).
-6
Let n(q) be the second derivative of q**4/12 + 2*q**3/3 - q**2 + q. Suppose 0*m = -3*m - u - 18, 0 = 17*m - 5*u + 70. Calculate n(m).
3
Let w(j) be the first derivative of j**3/3 - 15*j**2/2 - 13*j - 1. Let k be w(16). Let i(f) = 35*f**2 - 21*f**2 + 1 - 15*f**2 - 5*f**k. Calculate i(-1).
5
Let j(z) be the second derivative of 3*z**3/2 + 41*z**2 - 2172*z. Calculate j(-12).
-26
Let o(z) = -2149*z + 4283*z + 32 - 2141*z. Determine o(11).
-45
Let b(s) = -5*s**3 + 2*s**2 + 1. Let x(z) = -43*z**3 + 14*z**2 - 4*z + 10. Let d(l) = -7*b(l) + x(l). Calculate d(1).
-9
Suppose -4*w + 7 = -1. Let i(f) = -f + w*f**3 - 2 - 6*f**3 + 4. What is i(2)?
-32
Let n be 0 + 8 - (-32 + 43). Let g(l) = -24*l. Let h(y) = -204*y. Let j(t) = -42*g(t) + 5*h(t). Let i(k) = -6*k. Let b(c) = n*j(c) + 7*i(c). Determine b(-4).
24
Let n(m) = -m**3 + 4*m**2 + 5*m - 6. Suppose 0 = 5*r - 13 + 243. Let d = r - -39. Let c = -2 - d. What is n(c)?
-6
Let j be 94/(-18) - 2/(-9). Let y(z) = 28*z**3 - 4*z**2 - 8*z + 22. Let x be y(2). Let d(k) = -215*k**2 - 4*k + x*k**2 - k - 2. Calculate d(j).
-2
Let m be 2/4*(-6)/3. Let o(g) be the first derivative of -g**7/420 - g**6/360 + g**4/24 - 3*g**3 + 19. Let n(j) be the third derivative of o(j). What is n(m)?
2
Suppose -3*g + 1386*v = 1387*v + 52, g + 4*v = 12. Let f(k) = -k**3 - 18*k**2 + 40*k - 49. Give f(g).
-49
Let r(h) = 3*h - 2. Suppose -q + 3*q = 2. Suppose 0 = -z - 1, z + q = -b - 1. Let x be (-10)/(-45)*b + 58/18. Calculate r(x).
7
Suppose 3*k - 1418 = -4*f + k, 0 = f - 2*k - 362. Let b(m) = 364 - 716 + f - 5*m + m**2. Suppose 3 = -g - 0*g, -a = -g - 9. Give b(a).
10
Let x(g) be the third derivative of 20*g**2 - 2/3*g**3 - 7/24*g**4 - 1/60*g**5 + 0 + 0*g. Let p = 4 + -9. Calculate x(p).
6
Suppose 20 = -758*y + 748*y. Let f(s) = -12*s**2 - 4*s - 4. Give f(y).
-44
Let b(s) = s - 16. Let q = -3459 - -3463. Determine b(q).
-12
Let v(p) = -p**2 - p - 5. Suppose -3*z = z + 12. Let k(j) = j**2 + 4. Suppose -s - 2*s = 3*h + 6, 4*s = 0. Let w(b) = h*v(b) + z*k(b). What is w(3)?
-5
Suppose 78*g = 129*g - 255. Let i(t) = -t**3 + 3*t**2 + 10*t - 1. What is i(g)?
-1
Let l(q) = -5*q**2 - 6*q + 9. Let v(a) = -11*a**2 - 12*a + 19. Let k(h) = 13*l(h) - 6*v(h). Suppose 20*t - 657 - 143 = 0. Suppose 6*s + 10 = t. Give k(s).
-2
Let d = -450 - -564. Let b(y) = -d*y + y**2 + 10 - 122*y + 231*y. Calculate b(7).
24
Let u(m) = -4*m**2 - 4*m. Let a be u(0). Let g(c) be the third derivative of 0*c + 1/6*c**3 + 0 + 1/24*c**4 + 3*c**2. Calculate g(a).
1
Suppose -4*i - 8 + 0 = 0, -3*m + 4*i = -21431. Let w(q) = m - 2*q - 7141. Give w(3).
-6
Let p be 37/3 - 3 - (-29)/(-87). Let j(u) = -u**2 + 7*u + 3. Let a(s) = -s**2 + 7*s + 3. Let y(r) = 5*a(r) - 4*j(r). Calculate y(p).
-15
Let b = 61226 + -61225. Let u(i) = -27*i**3 + i - 2*i**2 + 3*i**2 - 1 + 0*i. Determine u(b).
-26
Let v(y) = 2*y**2 + 16*y + 11. Let t be v(-7). Let d be 45/30*(-16)/t. Let h(f) = -f**2 - 3*f**2 - 2*f + 12*f - 5 + 3*f**2. Calculate h(d).
11
Let p = 140 + -142. Let i be 4*-3 - -6 - p. Let z(q) = -3*q + 1. Give z(i).
13
Let p(j) = -j**2 - 17732*j + 35469*j + 25 - 17725*j. Give p(14).
-3
Let g(s) = 3*s + 67. Suppose 3968 - 690 = -149*o. Calculate g(o).
1
Let f(m) = m + 1. Let c(s) = -12*s - 2. Let b(o) = c(o) + 2*f(o). Let z(k) = -k**3 - 28*k**2 - 47*k + 131. Let l be z(-26). Determine b(l).
-10
Let j(x) = -2*x**2 - 696*x**3 - 7*x - 13 + 9 + 7 + 697*x**3. Give j(-3).
-21
Let m = 61 + -59. Let g(c) = -5*c**m - 2*c**3 + 3 + c**3 - 6*c + 2*c**3. Give g(6).
3
Let r(j) = -j**2 - 9*j - 14. Let b be 13/65 - (-38)/10. Suppose b*c - 2*g = -24, 0 = -c + 3*c + 4*g + 22. Give r(c).
0
Let p be (3 + 0)/((-3)/(-13)). Suppose 5*c - p*c + 96 = 0. Let u(i) = 4*i - i - 4*i + c - 9. Determine u(8).
-5
Let x(y) = -y**2 + 8*y + 8. Let a be x(9). Let j be (a + (-1 - (-12)/4))*19. Let g = j + -11. Let n(f) = f**2 - 9*f + 4. Calculate n(g).
-4
Let y(c) = -12*c + 61. Suppose 16*z = -73*z + 534. What is y(z)?
-11
Suppose 0 = -3*h + 3*g - 15, -3*h + 8 = -g + 23. Let w(v) = 19*v + 99. Determine w(h).
4
Let j(a) = 8*a + 36. Suppose 0 = -2*d - 16 + 6. Let v be j(d). Let p(x) = x**2 + x + 1. Let h(w) = -3*w**2 - 5*w + 3. Let c(n) = h(n) + 2*p(n). Determine c(v).
1
Let r be 14/(-4)*(5 - -2 - 5). Let n be (r/(-21))/((-2)/(-6)). Let m(z) = 3 - 2*z + n - 40*z**2 + 2 + 41*z**2. What is m(4)?
14
Let n(d) = -2*d**2 - 4. Let l = 297 + -262. Suppose 5*i + 15 - l = 0. Determine n(i).
-36
Let z = -1322 + 1331. Let q(b) = 11*b + 37 + 51 - 76 - b**2. Determine q(z).
30
Let l(u) be the first derivative of u**3/3 - u**2 - 50*u - 1916. Determine l(-6).
-2
Let f = 1 + 9. Suppose 10 = 10*s - f. Suppose -s = 2*q - 12. Let u(j) = -j + 4. Give u(q).
-1
Let h be -3 + (2 + -23)/(-1). Let u(f) = -f + h - 13 + 18. Determine u(17).
6
Let d(u) = -7*u - 2. Let r(c) = -21*c - 6. Let p(h) = -5*h - 48. Let f be p(-9). Let b(g) = f*r(g) + 8*d(g). Calculate b(-2).
-12
Let g(u) = u**3 - 15*u**2 - u + 19. Let a be g(15). Suppose l - 3 = -3*b - 2, 0 = 2*l + a*b. Let w(j) = 19*j + 2. Give w(l).
-36
Let y(s) = 2*s**2 - 18*s - 49. Let i be y(11). Let o(r) = r**3 - r + 1. Let c(q) = 4*q**3 - 5*q**2 - 3*q + 4. Let b(f) = c(f) - 5*o(f). Determine b(i).
-11
Let f(v) = 51*v + 9. Let p(w) = -90*w - 17. Let z(i) = 9*f(i) + 5*p(i). Calculate z(6).
50
Let p = 7018 + -7015. Let h(o) be the first derivative of o**2 + 0*o - 23 + 1/4*o**4 + o**p. What is h(-3)?
-6
Let r = 2894 - 2899. Let o(j) = 5*j + 3*j**2 - 7 - 3*j**2 + j**2. What is o(r)?
-7
Suppose 59 = -295*z + 293*z + 5*f, 3*z = 2*f - 39. Let x(o) be the third derivative of o**5/60 + o**4/3 - 5*o**3/6 - o**2. Determine x(z).
-12
Let p(z) be the first derivative of -z**3/3 + 17*z**2/2 - 4*z - 2631. Calculate p(17).
-4
Let p = -47 - -51. Suppose -o - p*o = 2*z - 16, 4*z - 4*o - 4 = 0. Let m(a) = -2*a**2 + 4*a - 2. What is m(z)?
-8
Let b(i) be the first derivative of -i**2 + 27*i - 1900. What is b(21)?
-15
Let c(r) = r**3 + 5*r**2 - 8*r - 4. Let p(w) = -7*w**3 - 16*w**2 + 16*w + 1. Let t be p(1). What is c(t)?
8
Suppose -8*d = 1 - 73. Let o be 11 + -2 + d + -11. Let u(f) = -2*f + 3. Determine u(o).
-11
Let v(j) be the first derivative of j**4/4 + 2*j**3 - 7*j**2 - 18*j - 1927. Calculate v(-8).
-34
Let k(l) = -7*l**2 + 5*l + 11. Let z(a) = -9 + 3*a**2 - 25*a + 4 + 22*a. Let s(v) = -4*k(v) - 9*z(v). Calculate s(-5).
-9
Suppose 2*s = l + 69, 3 = -4*l + 3*l. Let f(a) = 5*a - 32*a**3 + s*a**3 - 3*a - 4*a**2. What is f(3)?
-3
Let i(t) = 25*t**2 + 2*t + 3. Let m be i(-1). Suppose x = 3*g - 10, -m*x = -31*x - 2*g + 18. Let d(u) = 2*u**3 - 3*u**2 + 3*u. What is d(x)?
10
Let j = 166 + -165. Let t(x) = -x + 8. Let p(u) = u - 1. Let q(s) = j*t(s) + 2*p(s). Calculate q(-4).
2
Let o(x) be the second derivative of -x**4/6 - x**3/6 - x**2/2 - 9*x. Let p be 156/(-120) - ((-185)/(-50) - 4). Give o(p).
-2
Let g(y) be the first derivative of -10*y**3/3 + y**2/2 + y + 2124. What is g(1)?
-8
Let a(w) = -39*w - 767 + 24*w + 604. Determine a(-11).
2
Let b(p) = -57*p - 222. Suppose 217*m = -199 - 669. Give b(m).
6
Let g(l) = l + 5. Let x(o) = -o -
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Let m(x) = -8*h(x) + 3*s(x). Find the first derivative of m(j) wrt j.
10*j
Find the third derivative of 19352*y**5 + 6*y - 19352*y**5 + y**2 - 40*y**6 wrt y.
-4800*y**3
Let q(f) = f**3 - 536*f**2 + 12*f - 17. Let n(u) = -u**3 + 6*u**2 - u + 2. Let l(w) = -3*n(w) - q(w). Find the second derivative of l(a) wrt a.
12*a + 1036
Find the second derivative of -85*m - 189*m**2 + 3 - 63*m - 2 - 84*m**2 wrt m.
-546
Let r(i) = 307*i**2 + i + 11. Let w(v) = -204*v**2 - v - 7. Let p(f) = 5*r(f) + 8*w(f). What is the second derivative of p(b) wrt b?
-194
Let s = -6 + 6. Suppose s = -u + 6*u - 25. Find the second derivative of -5*z**5 + z**u + 6*z**5 - 6*z wrt z.
40*z**3
Differentiate 254*q**2 - 512*q**2 + 32*q**3 + 258*q**2 + 55*q**3 + 29 - q wrt q.
261*q**2 - 1
Suppose 0 = -2*s - c + 1, 0 = -2*s - 2*c + 3*c + 11. Find the third derivative of s*m**2 - 397 + m**2 + 397 - 11*m**6 wrt m.
-1320*m**3
Suppose 0 = -5*v + v. Suppose -5*x + 24 - 4 = v. Differentiate 4 - i**4 + 0*i**4 + 5*i**x - i**4 with respect to i.
12*i**3
Let p(k) = k + 7. Let d be (12/(-16))/(2/8). Let h be p(d). What is the third derivative of h*n**2 + 4*n**5 + 12*n**5 - 14*n**5 wrt n?
120*n**2
Suppose -132*s = -129*s. Let u(y) be the first derivative of 0*y**4 + 0*y**2 + y**5 + 2 + s*y + 7/3*y**3. What is the third derivative of u(p) wrt p?
120*p
Let x(z) be the second derivative of 29/30*z**6 + 0*z**4 + 0*z**5 + 4*z + 0 + 11*z**2 + 0*z**3. Find the first derivative of x(i) wrt i.
116*i**3
Let y(p) = p**2 + 1. Let d(i) = -53*i**2 + i + 16. Let c(b) = -2*d(b) + 18*y(b). What is the second derivative of c(u) wrt u?
248
Differentiate 774*d + 244 - 594*d + 142 with respect to d.
180
Let m(f) = 208*f**4 - 9*f**2 - 9*f + 1. Let g(p) = 104*p**4 - 4*p**2 - 4*p + 1. Let n(k) = -9*g(k) + 4*m(k). Find the first derivative of n(d) wrt d.
-416*d**3
Find the second derivative of -21 - 54*v**2 + 1 - 23*v**2 + 2*v wrt v.
-154
What is the third derivative of -327*z**6 - 299*z**2 - 139*z**2 + 2*z**2 + 41*z**6 + 61*z**2 wrt z?
-34320*z**3
Let f(h) = -h**2 + 18*h - 16. Let j(c) = c**3 + 6*c**2 + 3*c - 7. Let s be j(-4). Let i be f(s). Find the first derivative of i*z**3 + 2 - 52*z**3 - 5 wrt z.
-9*z**2
Let w(p) be the first derivative of 365*p**6/6 - p**4/2 - 254*p**3 + 420. Find the third derivative of w(g) wrt g.
21900*g**2 - 12
Let q(j) = -2*j**3 - j**2 - j. Let k(i) = -121*i**3 + i**2 + i + 74. Let u(c) = -k(c) - q(c). Differentiate u(z) with respect to z.
369*z**2
What is the second derivative of -2*k**2 - 4*k**2 + 583*k + 6*k**2 + 31*k + 52*k**3 + k**2 wrt k?
312*k + 2
Let m be 3/(-9) - 57/(-9). Find the first derivative of o**2 - 32*o - m*o**2 + 34 + 15*o + 4*o**2 wrt o.
-2*o - 17
Let q(d) be the third derivative of d**7/70 - 17*d**6/120 - d**5/60 + d**3/3 + 22*d**2 + 1. Find the third derivative of q(r) wrt r.
72*r - 102
Let j(w) be the first derivative of -143*w**5/5 - 6*w**3 - w**2/2 + 434. Find the third derivative of j(x) wrt x.
-3432*x
Suppose 483 - 186 = -3*i. Let k be ((-8)/6)/(22/i). Differentiate -k - 12*p**3 + 2*p**3 + 10 wrt p.
-30*p**2
Let n be (-111)/(-21) + -1 - (-4)/(-14). What is the third derivative of 12*r**4 - 3*r**n + 49*r**2 - 25*r**2 wrt r?
216*r
Suppose 5*q = 3*v - v - 23, -13 = -4*v - q. Suppose -v*y + 2*y = 4*b - 14, 3*b - 9 = -y. What is the derivative of 2 - y*j**2 - 1 - 3 + 4*j**2 wrt j?
2*j
Suppose -14 = 3*g + 7. Let c(i) = 49*i**2 - 16*i + 7. Let h(z) = -48*z**2 + 17*z - 6. Let o(u) = g*h(u) - 6*c(u). What is the second derivative of o(l) wrt l?
84
Find the third derivative of -30*p**2 - 571*p**3 - 12*p**2 + 12823*p + 1 - 21*p**2 - 12823*p wrt p.
-3426
Find the first derivative of 2584*k - 106 - 2584*k - 74 + 281*k**2 - 89*k**2 wrt k.
384*k
Suppose -15*r = -2*r - 91. What is the third derivative of r + 7*c**2 + 4*c**2 + 41*c**5 + 6 - 8*c**2 wrt c?
2460*c**2
Suppose 115 + 205 = 80*l. Let a(y) be the second derivative of 0*y**4 + 0*y**3 - 2*y**2 - l*y + 0*y**5 - 7/30*y**6 + 0. Find the first derivative of a(g) wrt g.
-28*g**3
Find the third derivative of 2*y - 11*y**5 - 4*y - 93*y**2 + 9*y**5 - 52*y**2 wrt y.
-120*y**2
Let x(i) = -5*i - 3. Let w = -6 + 4. Let u(k) = 2 + 1 - 4. Let o(y) = w*u(y) - x(y). Find the first derivative of o(c) wrt c.
5
Let r(s) = -s**2 + 2*s + 2. Let w be r(0). Find the second derivative of 44*q**w + 40*q**2 - 86*q**2 - 3*q wrt q.
-4
Let m(s) = s**3 + 5*s**2 + 5*s + 6. Let f be m(-4). What is the third derivative of -f*d**4 + 2*d - 2*d - 3*d**4 + 2*d**2 wrt d?
-120*d
Find the second derivative of -4 + 33 + 38 - 11*m - 136*m**3 + 10*m wrt m.
-816*m
Let w = -47 - -53. What is the third derivative of -34*p - 9*p**2 - 6*p**w + 34*p wrt p?
-720*p**3
Let m(i) = -i**3 - 6*i**2 + 2. Let z be m(-6). Find the third derivative of 115*s + 18*s**5 - 115*s + 25*s**z wrt s.
1080*s**2
Differentiate 2266 - 130*c**3 - 2373 - 10*c**3 with respect to c.
-420*c**2
Let t(g) = -1390*g - 1209. Let u(h) = 278*h + 242. Let y(s) = 2*t(s) + 11*u(s). What is the first derivative of y(n) wrt n?
278
Suppose -5*r + 129 = -221. Find the third derivative of 9*t**2 + t**3 - r*t + 70*t + 5*t**2 wrt t.
6
Find the second derivative of 74*r - 2*r**5 + 1 - 17*r**5 - 98*r**4 + 18*r**5 wrt r.
-20*r**3 - 1176*r**2
Let z(l) = 423*l**3 + 33*l**2 - 2*l + 2. Let i(u) = -2*u**2 + 2*u - 1. Let h(q) = 2*i(q) + z(q). What is the third derivative of h(x) wrt x?
2538
Let a(x) = -x**3 + 6*x**2 - x + 6. Let p be a(6). What is the derivative of -881*n**3 + p + 867*n**3 + 4 wrt n?
-42*n**2
Find the third derivative of -26 + 9*o + 26 + 33*o**3 - 138*o**3 + 3*o**2 wrt o.
-630
Let j = 127 - 122. What is the second derivative of 20*t**5 + 13*t + 41*t - 55*t**j wrt t?
-700*t**3
Let p(q) be the second derivative of 29*q**6/15 - q**5/20 - 7*q**4/6 + 239*q. Find the third derivative of p(i) wrt i.
1392*i - 6
Let b(d) be the third derivative of -203*d**6/120 + 260*d**3/3 - 63*d**2 + 2. Differentiate b(n) wrt n.
-609*n**2
Let l = -563 - -565. Let g(z) be the second derivative of 1/2*z**4 + 1/4*z**5 + 0 - 6*z + 0*z**3 + 0*z**l. Find the third derivative of g(j) wrt j.
30
Let i(f) = 5*f + 1. Let u be i(1). Suppose -3*v + 10 + 32 = 0. Find the third derivative of -3*h**2 + v*h**u - 3 - 15*h**6 + 3 wrt h.
-120*h**3
Find the third derivative of -22*m**4 - 87*m**2 - 67*m**2 - 148*m + 148*m wrt m.
-528*m
Let r be 3 + 0*4/16. What is the third derivative of 18*v**r - 4*v**2 - 5*v**3 + 4*v**2 + 5*v**2 wrt v?
78
Let c be (3 - -5)/(2/(-2)). Let l = 13 + c. What is the second derivative of 3*m + 3*m**5 + 3*m + 5*m**5 - l*m wrt m?
160*m**3
Let c = -15 + 19. What is the third derivative of 0*a**c + a**4 + 5*a**4 - 2*a**2 + 0*a**2 wrt a?
144*a
Let o be 27/9 + (1 - 1). Suppose -5*n - 2*u - 2*u = -o, 2*u + 6 = 0. Differentiate 5*q**n + 7 - 16 + 4 with respect to q.
15*q**2
Let u be (14/8)/7*76. Find the first derivative of -7 - 10 - 16*j**2 + u wrt j.
-32*j
What is the first derivative of -109 - 11*f + 11*f + 69*f**3 + 132 wrt f?
207*f**2
Let n(u) be the second derivative of 163*u**6/10 + 317*u**4/12 + 8*u + 1. What is the third derivative of n(w) wrt w?
11736*w
Let s(h) be the first derivative of -23*h**4/4 - 2*h**3/3 + 33*h**2/2 - 6. Find the second derivative of s(p) wrt p.
-138*p - 4
Let k = -72 - -71. Let j(o) = 13*o**2 - 19*o + 6. Let i(v) = v - 1. Let h(b) = k*j(b) - 6*i(b). What is the second derivative of h(n) wrt n?
-26
Let v(h) be the second derivative of -9*h + 0*h**5 + 0*h**4 + 1/30*h**6 + 0 + 5*h**2 + 0*h**3. What is the derivative of v(o) wrt o?
4*o**3
Let f(g) be the third derivative of 283*g**5/60 + 41*g**4/24 - g**3/3 + 843*g**2. Find the second derivative of f(z) wrt z.
566
What is the second derivative of 5*i**2 - 8*i**2 - 6*i**2 - 3 - 5*i + 7 wrt i?
-18
Let l(x) be the first derivative of 6*x**5 - 2*x**2 - 712*x - 440. What is the derivative of l(u) wrt u?
120*u**3 - 4
Let n(d) = 567*d**3 + 5*d**2 + 5*d - 274. Let a(r) = -15026*r**3 - 132*r**2 - 132*r + 7260. Let z(x) = 5*a(x) + 132*n(x). Differentiate z(m) with respect to m.
-858*m**2
Let v be -6 + -3 - (0 - -2). Let f = 14 + v. What is the third derivative of 3*m**2 + m**3 + 0*m**3 - m**3 - 5*m**f wrt m?
-30
Differentiate -83*m**4 + 1 + 92*m**4 + 145 - 19*m**2 with respect to m.
36*m**3 - 38*m
Suppose 0 = n + 4, -2*n - 20 = t - 5*t. Suppose -t*o + 6*o -
|
{
"pile_set_name": "DM Mathematics"
}
|
ext in -27793, -56537, -85279, -114019, -142757, -171493, -200227?
-228959
What comes next: -83286, -166571, -249844, -333105, -416354, -499591?
-582816
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1867810
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-236082
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26144
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-21291919
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-4338569
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142652
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-11869
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169168
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451304
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-42376966
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49620
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-1942123
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-90059
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22776
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-64309
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-829
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-6733498
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-544
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674573
What comes next: -2363672, -2363649, -2363626?
-2363603
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-238522
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-4849778
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-392944127
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2631
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523802
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-10941128
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-74231833
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2635566
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-3758
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-4829091
What is next in -695353, -695350, -695347, -695344, -695341?
-695338
What is the next term in -106122, -210931, -315740, -420549, -525358, -630167?
-734976
What comes next: -8350, -9331, -10312, -11293?
-12274
What is next in -1811, -4806, -12927, -28736, -54795?
-93666
What comes next: 8851, 8985, 9349, 10057, 11223, 12961?
15385
What is the next term in -1045, -2130, -3219, -4318, -5433, -6570, -7735, -8934?
-10173
What comes next: -6452462, -12904884, -19357306, -25809728?
-32262150
What comes next: 6194702, 6194700, 6194698, 6194696, 6194694?
6194692
What comes next: -1990672, -3981346, -5972022, -7962700, -9953380, -11944062?
-13934746
What is next in 51270915, 102541828, 153812741, 205083654, 256354567?
307625480
What comes next: 6102, 19959, 43054, 75387, 116958?
167767
What is the next term in 1342, 129, -1084, -2297, -3510?
-4723
What is next in 116268, 116594, 117146, 117930, 118952, 120218?
121734
What is next in 1085776, 1085752, 1085728, 1085704, 1085680, 1085656?
1085632
What comes next: 70381, 141412, 212441, 283468, 354493?
425516
What comes next: 530, 1972, 4530, 8204?
12994
What comes next: -106219, -212392, -318563, -424732, -530899, -637064, -743227?
-849388
What comes next: 15420, 15555, 15748, 15999, 16308?
16675
What comes next: 1240982, 1240985, 1240988, 1240991, 1240994?
1240997
What comes next: -4807, -19352, -43589, -77518, -121139, -174452, -237457?
-310154
What comes next: 328439, 656877, 985321, 1313777, 1642251?
1970749
What is next in -1633963, -3268243, -4902523, -6536803?
-8171083
What is next in 5502, 6085, 7042, 8373, 10078?
12157
What comes next: 10365, 10535, 10705, 10875?
11045
What comes next: 134734, 269467, 404200, 538933, 673666?
808399
What is next in -107491, -214891, -322293, -429703, -537127, -644571, -752041?
-859543
What is next in 25722, 205455, 693218, 1643025, 3208890, 5544827, 8804850?
13142973
What comes next: -4803, -9383, -13741, -17877?
-21791
What comes next: 13336, 14970, 16602, 18232, 19860, 21486, 23110?
24732
What is next in -122672, -245365, -368098, -490871, -613684?
-736537
What is next in 74858692, 74858694, 74858696?
74858698
What comes next: 3133, 3951, 5223, 6955, 9153, 11823, 14971?
18603
What comes next: -3673, -3568, -3545, -3604, -3745?
-3968
What is the next term in -81228, -81105, -80990, -80889, -80808, -80753, -80730?
-80745
What comes next: 3527, 28574, 96547, 228908, 447119, 772642, 1226939, 1831472?
2607703
What is the next term in 435, 630, 867, 1104, 1299, 1410?
1395
What comes next: -39811527, -79623053, -119434579, -159246105, -199057631?
-238869157
What is next in 3071646, 12286497, 27644596, 49145949, 76790562, 110578441?
150509592
What comes next: 15551, 31435, 47319, 63203, 79087?
94971
What is next in -1195174, -1195190, -1195206, -1195222?
-1195238
What comes next: -194, -1502, -5006, -11792, -22946, -39554, -62702, -93476?
-132962
What is the next term in 26467, 105934, 238387, 423832, 662275, 953722, 1298179?
1695652
What comes next: -7121, -6174, -5227?
-4280
What is the next term in -5966383, -11932747, -17899111, -23865475?
-29831839
What is next in 19910, 39204, 58498, 77792, 97086, 116380?
135674
What is the next term in -795265, -3181025, -7157295, -12724075, -19881365?
-28629165
What comes next: 102862, 100977, 99090, 97201, 95310, 93417, 91522?
89625
What is next in -29609214, -29609198, -29609182?
-29609166
What comes next: 11362, 11271, 11180, 11089, 10998, 10907?
10816
What is next in 1601, 6702, 15205, 27110, 42417, 61126, 83237?
108750
What is the next term in -15939, -31899, -47841, -63753, -79623, -95439, -111189, -126861?
-142443
What is the next term in 5960, 5101, 4242, 3383, 2524, 1665?
806
What is the next term in -230295692, -230295696, -230295700, -230295704, -230295708, -230295712?
-230295716
What comes next: 30186, 30179, 30170, 30159, 30146?
30131
What comes next: -85512, -85085, -84364, -83349, -82040, -80437?
-78540
What is the next term in 52693, 51260, 49837, 48430, 47045, 45688?
44365
What is next in -840005, -1680185, -2520365?
-3360545
What is the next term in -154741, -154725, -154709, -154693, -154677, -154661?
-154645
What comes next: 59765, 239105, 538005, 956465?
1494485
What is the next term in 27628911, 27628906, 27628899, 27628890, 27628879, 27628866, 27628851?
27628834
What is the next term in -2826, -31532, -109440, -261150, -511262, -884376, -1405092, -2098010?
-2987730
What is the next term in -524, -1032, -1450, -1730, -1824, -1684, -1262, -510?
620
What is next in 1118071, 1118073, 1118075, 1118077?
1118079
What comes next: -15985, -32768, -49551, -66334?
-83117
What is the next term in 113148, 113270, 113392?
113514
What comes next: 574, 1175, 2136, 3445, 5090, 7059?
9340
What is next in 378412, 378290, 378154, 377998, 377816, 377602, 377350?
377054
What is next in -396647, -396613, -396579, -396545?
-396511
What is the next term in 1694, 3532, 5462, 7484, 9598, 11804?
14102
What is next in -38370, -76134, -113910, -151704, -189522, -227370, -265254?
-303180
What is the next term in 666458, 666574, 666702, 666848, 667018?
667218
What comes next: -40623, -40641, -40659?
-40677
What is the next term in -836029, -836218, -836405, -836590, -836773, -836954?
-837133
What is the next term in -4911190, -4911187, -4911184, -4911181?
-4911178
What is the next term in -3913, -4018, -4353, -5032, -6169, -7878?
-10273
What is next in 592968, 1185933, 1778898, 2371863, 2964828, 3557793?
4150758
What comes next: -15519293, -31038570, -46557847?
-62077124
What comes next: 681448, 5451625, 18399248, 43613041, 85181728?
147194033
What is the next term in 5660, 22477, 50498, 89723, 140152, 201785?
274622
What comes next: 3009653, 3009726, 3009805, 3009896, 3010005?
3010138
What comes next: -451222, -902442, -1353648, -1804840, -2256018, -2707182?
-3158332
What comes next: -1347166, -1347169, -1347172, -1347175?
-1347178
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 2*t - 1020
What is the p'th term of -164085, -164080, -164075, -164070?
5*p - 164090
What is the n'th term of -1929, -3567, -5207, -6849, -8493, -10139?
-n**2 - 1635*n - 293
What is the v'th term of 36, 44, 60, 90, 140, 216, 324?
v**3 - 2*v**2 + 7*v + 30
What is the a'th term of 549, 981, 1309, 1533, 1653?
-52*a**2 + 588*a + 13
What is the p'th term of -29520, -29491, -29462, -29433, -29404, -29375?
29*p - 29549
What is the b'th term of -2074, -3944, -5790, -7600, -9362, -11064, -12694, -14240?
2*b**3 - 1884*b - 192
What is the a'th term of -21395, -42792, -64189?
-21397*a + 2
What is the s'th term of -559, -1082, -1567, -2014?
19*s**2 - 580*s + 2
What is the s'th term of 748, 759, 830, 1003, 1320, 1823?
7*s**3 - 12*s**2 - 2*s + 755
What is the l'th term of 12168, 12180, 12208, 12258, 12336, 12448, 12600?
l**3 + 2*l**2 - l + 12166
What is the q'th term of 62699, 125399, 188099, 250799?
62700*q - 1
What is the w'th term of -1593, -1556, -1521, -1488, -1457, -1428?
-w**2 + 40*w - 1632
What is the u'th term of 35, 559, 1983, 4757, 9331, 16155?
75*u**3 - u - 39
What is the o'th term of -58215, -58262, -58313, -58368, -58427, -58490?
-2*o**2 - 41*o - 58172
What is the c'th term of -272016, -272013, -272000, -271971, -271920, -271841?
c**3 - c**2 - c - 272015
What is the t'th term of -2833, -2815, -2795, -2773?
t**2 + 15*t - 2849
What is the w'th term of 1210, 4823, 10852, 19303, 30182, 43495, 59248?
w**3 + 1202*w**2 + 7
What is the v'th term of -11032, -11063, -11106, -11167, -11252, -11367?
-v**3 - 24*v - 11007
What is the g'th term of -6055, -4676, -3295, -1912?
g**2 + 1376*g - 7432
What is the q'th term of 49, -102, -277, -482, -723?
-q**3 - 6*q**2 - 126*q + 182
What is the j'th term of -1711, -3232, -4753, -6274?
-1521*j - 190
What is the v'th term of -2768, -5517, -8252, -10973, -13680, -16373, -19052?
7*v**2 - 2770*v - 5
What is the w'th term of 1270837, 1270835, 1270833, 1270831, 1270829?
-2*w + 1270839
What is the x'th term of 13903, 13905, 13907?
2*x + 13901
What is the s'th term of 1527, 5551, 12255, 21639?
1340*s**2 + 4*s + 183
What is the h'th term of 30, 17, -62, -255, -610, -1175, -1998?
-8*h**3 + 15*h**2 - 2*h + 25
What is the n'th term of 773212, 773221, 773244, 773287, 773356?
n**3 + n**2 - n + 773211
What is the d'th term of 31194, 62342, 93490?
31148*d + 46
What is the j'th term of -37202, -74428, -111654?
-37226*j + 24
What is the d'th term of -1215, -2417, -3619, -4821, -6023, -7225?
-1202*d - 13
What is the s'th term of -5809, -11628, -17445, -23260?
s**2 - 5822*s + 12
What is the c'th term of -2219, -2116, -2011, -1904, -1795?
c**2 + 100*c - 2320
What is the r'th term of 94, 231, 548, 1117, 2010, 3299, 5056?
12*r**3 + 18*r**2 - r + 65
What is the r'th term of 846, 1739, 2632?
893*r - 47
What is the d'th term of -1065, -2079, -3045, -3963?
24*d**2 - 1086*d - 3
What is the z'th term of -209, -420, -633, -848, -1065, -1284?
-z**2 - 208*z
What is the j'th term of 1046, 1343, 1642, 1943, 2246, 2551, 2858?
j**2 + 294*j + 751
What is the x'th term of 102, 395, 892, 1599, 2522, 3667, 5040, 6647?
x**3 + 96*x**2 - 2*x + 7
What is the d'th term of 13094, 26172, 39250, 52328?
13078*d + 16
What is the s'th term of -945654, -1891307, -2836960, -3782613, -4728266, -5673919?
-945653*s - 1
What is the m'th term of 1724, 1883, 2152, 2537, 3044, 3679, 4448, 5357?
m**3 + 49*m**2 + 5*m + 1669
What is the m'th term of 1824, 1822, 1818, 1812, 1804, 1794?
-m**2 + m + 1824
What is the f'th term of -3130, -6270, -9410?
-3140*f + 10
What is the x'th term of 994, 1860, 2728, 3598?
x**2 + 863*x + 130
What is the x'th term of -253, -202, -161, -136, -133, -158?
-x**3 + x**2 + 55*x - 308
What is the t'th term of 871, 1738, 2605, 3472, 4339, 5206?
867*t + 4
What is the u'th term of -491, -1378, -2271, -3170, -4075?
-3*u**2 - 878*u + 390
What is the c'th term of 2405, 4575, 6733, 8873, 10989?
-c**3 + 2177*c + 229
What is the q'th term of -123, -133, -155, -183, -211, -233, -243?
q**3 - 12*q**2 + 19*q - 131
What is the a'th term of 276, 1493, 3520, 6357, 10004?
405*a**2 + 2*a - 131
What is the v'th term of 36191, 72388, 108575, 144746, 180895?
-v**3 + v**2 + 36201*v - 10
What is the n'th term of -236845, -236833, -236821, -236809, -236797?
12*n - 236857
What is the m'th term of 627, 795, 963, 1131, 1299?
168*m + 459
What is the f'th term of 38, 537, 1036?
499*f - 461
What is the h'th term of -326, -1253, -2798, -4961, -7742?
-309*h**2 - 17
What is the n'th term of 3572, 7182, 10790, 14396, 18000, 21602?
-n**2 + 3613*n - 40
What is the g'th term of 763, 1449, 2133, 2815?
-g**2 + 689*g + 75
What is the i'th term of -83873, -83846, -83773, -83630, -83393, -83038?
4*i**3 - i**2 + 2*i - 83878
What is the o'th term of 3215, 6441, 9667, 12893, 16119?
3226*o - 11
What is the l'th term of 10106, 10123, 10148, 10181, 10222?
4*l**2 + 5*l + 10097
What is the r'th term of -5604, -5313, -5022, -4731, -4440, -4149?
291*r - 5895
What is the l'th term of 1047, 4131, 9265, 16443, 25659, 36907?
-l**3 + 1031*l**2 - 2*l + 19
What is the x'th term of -3022, -3021, -3020, -3019, -3018?
x - 3023
What is the w'th term of -653, -697, -759, -833, -913, -993?
w**3 - 15*w**2 - 6*w - 633
What is the l'th term of 1482, 1105, 476, -405, -1538?
-126*l**2 + l + 1607
What is the k'th term of 6, -39, -88, -141?
-2*k**2 - 39*k + 47
What is the i'th term of 120, 173, 226?
53*i + 67
What is the l'th term of 283, 994, 2181, 3844, 5983?
238*l**2 - 3*l + 48
What is the t'th term of -10, 8, 98, 302, 662, 1220?
7*t**3 - 6*t**2 - 13*t + 2
What is the o'th term of -599, -819, -1039, -1259?
-220*o - 379
What is the g'th term of 79, -390, -859?
-469*g + 548
What is the x'th term of 105336, 210672, 316008, 421344?
105336*x
What is the w'th term of -15247, -15250, -15253, -15256, -15259, -15262?
-3*w - 15244
What is the v'th term of 34281, 68603, 102925, 137247, 171569, 205891?
34322*v - 41
What is the w'th term of 10940, 21882, 32834, 43796?
5*w**2 + 10927*w + 8
What is the m'th term of -49, -223, -549, -1057, -1777?
-5*m**3 - 46*m**2 - m + 3
What is the z'th term of -10, 112, 234, 356?
122*z - 132
What is the u'th term of -439, -822, -1195, -1552, -1887, -2194, -2467, -2700?
u**3 - u**2 - 387*u - 52
What is the q'th term of 153653, 614626, 1382917, 2458526?
153659*q**2 - 4*q - 2
What is the b'th term of 9211, 37319, 84165, 149749, 234071, 337131, 458929?
9369*b**2 + b - 159
What is the l'th term of -3314, -3253, -3142, -2975, -2746, -2449?
l**3 + 19*l**2 - 3*l - 3331
What is the r'th term of 167, 646, 1441, 2552, 3979?
158*r**2 + 5*r + 4
What is the h'th term of 4025, 8047, 12043, 16001, 19909, 23755?
-2*h**3 - h**2 + 4039*h - 11
What is the t'th term of -751558, -751557, -751554, -751549, -751542, -751533, -751522?
t**2 - 2*t - 751557
What is the r'th term of -14092, -28187, -42274, -56347, -70400, -84427, -98422, -112379?
r**3 - 2*r**2 - 14096*r + 5
What is the o'th term of -762, -700, -604, -480, -334, -172, 0, 176?
-o**3 + 23*o**2 - 784
What is the s'th term of 52, 420, 990, 1726, 2592, 3552, 4570, 5610?
-6*s**3 + 137*s**2 - s - 78
What is the d'th term of -4905, -9831, -14763, -19701?
-3*d**2 - 4917*d + 15
What is the p'th term of -11978, -12304, -12616, -12908, -13174, -13408, -13604?
p**3 + p**2 - 336*p - 11644
What is the k'th term of -14562, -14547, -14532?
15*k - 14577
What is the c'th term of 486, 487, 488, 489, 490?
c + 485
What is the q'th term of -1158, -1162, -1180, -1218, -1282, -1378, -1512, -1690?
-q**3 - q**2 + 6*q - 1162
What is the u'th term of -4843, -9678, -14513, -19348?
-4835*u - 8
What is the z'th term of 2615, 2600, 2561, 2486, 2363, 2180, 1925?
-2*z**3 - z + 2618
What is the q'th term of -1500, -1512, -1548, -1620, -1740, -1920, -2172, -2508?
-2*q**3 + 2*q - 1500
What is the y'th term of 38709, 38712, 38715, 38718, 38721, 38724?
3*y + 38706
What is the p'th term of 38284, 153125, 344526, 612487, 957008?
38280*p**2 + p + 3
What is the n'th term of -3688, -3717, -3746, -3775, -3804, -3833?
-29*n - 3659
What is the s'th term of 2096, 4244, 6392, 8540, 10688?
2148*s - 52
What is the q'th term of -16627, -16931, -17741, -19309, -21887, -25727, -31081?
-42*q**3 - q**2 - 7*q - 16577
What is the o'th term of 24, -3, -82, -219, -420, -691, -1038, -1467?
-o**3 - 20*o**2 + 40*o
|
{
"pile_set_name": "DM Mathematics"
}
|
qrt(228) - (sqrt(228)*1 - sqrt(228))) - sqrt(228))*-1)/(-2*sqrt(48) + sqrt(120)/(-1*sqrt(10))).
-sqrt(19)/5
Simplify ((sqrt(91)*-3*6 + (sqrt(91) - sqrt(91)*-2)*4)/(-2*(sqrt(7) + sqrt(7) + sqrt(28))*2*5)*-1)**2.
117/1600
Simplify (6*(sqrt(104) + sqrt(104)*-1 - sqrt(104)) + 6*-2*sqrt(104))/(-2*(sqrt(32)/sqrt(4)*4 - sqrt(56)/(-3*sqrt(7)))).
27*sqrt(13)/13
Simplify -5*(5 + (4*2*sqrt(34))/(sqrt(2) + (sqrt(2) - sqrt(12)/(2*sqrt(6)))) + 1).
-80*sqrt(17)/3 - 30
Simplify ((-3*(-1 + sqrt(567)) + (sqrt(567) - (sqrt(567) + 1 - sqrt(567))*-6) + (sqrt(567) - (sqrt(567) + 0 + 4)) + sqrt(567) + -4)*-2*-6 + 2)**2.
-3024*sqrt(7) + 81844
Simplify 1*((5 + -4*sqrt(128) + 2 - (sqrt(128) + 1 + -2 + sqrt(128))*1)**2 + 4).
-768*sqrt(2) + 4676
Simplify 1 + -1 + (3 + 2*sqrt(162) + -5)**2 + -1 + 3.
-72*sqrt(2) + 654
Simplify sqrt(52)/(sqrt(180)/sqrt(5))*5 - ((sqrt(156) - -5*-1*sqrt(156)) + sqrt(156))/(2*sqrt(300)).
59*sqrt(13)/30
Simplify (-5*((-3*sqrt(187)*5 + sqrt(187))*5)/((sqrt(66)/sqrt(2))/sqrt(3) + -2*sqrt(11)*1))**2.
2082500
Simplify (5 + ((-1*(-1*sqrt(1053) + sqrt(1053)) + -1 + sqrt(1053) + 4)**2 - (-5 + (sqrt(1053) - (sqrt(1053)*-2 + 5)))**2))*6 + 2.
-51058 + 3564*sqrt(13)
Simplify 2 + 3*((sqrt(75) - (1 + sqrt(75)*-1 - sqrt(75)))**2 + (sqrt(165)/(sqrt(20)/sqrt(4)))/sqrt(11))*3 + -5.
-261*sqrt(3) + 6081
Simplify 5*(((sqrt(300) + sqrt(300) + 3*-1*sqrt(300))/(sqrt(6) - sqrt(30)/sqrt(45)))**2 + -4*((1 + sqrt(50))*3 + sqrt(450)*-5)).
1005/2 + 1200*sqrt(2)
Simplify (-1*1*(sqrt(60)/sqrt(4) - sqrt(15))*5)/(-6*sqrt(1728)*1 - sqrt(1728)) + 0.
0
Simplify -4*(-2*sqrt(114)*-6*-2*1)/(-6*(sqrt(6) - (sqrt(6) - (sqrt(6) + sqrt(12)/sqrt(2)))*-4 - (-1*sqrt(18))/sqrt(3))).
8*sqrt(19)
Simplify ((-4*(sqrt(204)*-1 - sqrt(204)) - (-2*-1*sqrt(204) + sqrt(204)))/(-5*(sqrt(108)*5 + sqrt(108))/sqrt(9))*1)**2.
17/36
Simplify (((sqrt(300)*-2)/sqrt(5))/(-1*sqrt(54)))/(((sqrt(16) - -4*sqrt(48)/sqrt(3)) + sqrt(16))/(sqrt(24)/sqrt(3)*6)).
2*sqrt(5)/3
Simplify 2*(2 + 3 + (sqrt(448) + 2 + sqrt(448) + sqrt(448))**2 + (sqrt(21)/sqrt(3)*-6 + (sqrt(14)/sqrt(50) - sqrt(7)))**2).
192*sqrt(7) + 218234/25
Simplify 1*3*(4*(-2*sqrt(252) + 3) - (-3 + sqrt(252) + -6*(1 + sqrt(252) - sqrt(252))))**2.
-6804*sqrt(7) + 62559
Simplify -4 + (6*(sqrt(117) + sqrt(117) + sqrt(117)*1) - -1*(sqrt(117) + sqrt(117) + 2*sqrt(117)))/(sqrt(36)/(sqrt(4) - sqrt(64)*1)*-1).
-4 + 66*sqrt(13)
Simplify (((1 + sqrt(2299) + -3 - (sqrt(2299) - 6*(-2 + sqrt(2299)))) + (5 + (4 + -1 + sqrt(2299) - sqrt(2299)))*-5)*1)**2*-3.
-257040 + 21384*sqrt(19)
Simplify 1*(sqrt(1700)*1 + -1 + (sqrt(1700) - 1*sqrt(1700)*1))*2.
-2 + 20*sqrt(17)
Simplify ((sqrt(847) + (sqrt(847) - (sqrt(847) + (sqrt(847) - ((2 + sqrt(847))*3 - sqrt(847))))))*-3)**2 + (-1 + sqrt(112) + (-1*sqrt(7))**2 + 0)*-4.
2360*sqrt(7) + 30792
Simplify (-1 + 0 + sqrt(468) + -6*(2 + sqrt(468)))**2 - (4 + 1 + sqrt(468))*-4.
804*sqrt(13) + 11889
Simplify (3 + ((sqrt(42)/(sqrt(28) + sqrt(7)))/(sqrt(12)/(2*sqrt(4))) - -6*sqrt(10)/(sqrt(20)/sqrt(4)*1)))**2.
40*sqrt(2) + 881/9
Simplify (-4*-2*sqrt(1000)*4)/(4*(sqrt(72) - (sqrt(72) + sqrt(72)*1))*2).
-20*sqrt(5)/3
Simplify (-5*(sqrt(112) + sqrt(112) + -1) + sqrt(112) + 1 + 5*(sqrt(70)/(2*sqrt(10)) - ((sqrt(7) - sqrt(112)) + -3)))**2 + 0.
-777*sqrt(7) + 11347/4
Simplify (2*(-3*sqrt(104) + sqrt(104)) - sqrt(104)*2*-4)/(sqrt(288)/(sqrt(27)/(sqrt(12)/sqrt(4)))).
2*sqrt(13)
Simplify (sqrt(364)/sqrt(7)*-4 + 5*sqrt(832))/((-3*sqrt(484) - sqrt(484)) + sqrt(4) + (sqrt(32) - (sqrt(32) - sqrt(1568)))/sqrt(8)).
-4*sqrt(13)/9
Simplify -6*((1*(sqrt(119)/sqrt(7) + -5 + sqrt(17)) - sqrt(119)/(-2*sqrt(343))) + -3)**2 + -3.
-80817/98 + 1392*sqrt(17)/7
Simplify -3*((sqrt(70) + (sqrt(70) - sqrt(70)*-2*4) + sqrt(70))*-1*-6)/(sqrt(40)/sqrt(4)*-3 - sqrt(90)/(sqrt(36) - sqrt(9))).
99*sqrt(7)/2
Simplify ((sqrt(4860)*1)/(sqrt(6) + sqrt(150) + 1*sqrt(150) + sqrt(150)))/(sqrt(242) + sqrt(242)*-1 + sqrt(242) + sqrt(2) + sqrt(18)/sqrt(144) + sqrt(2)).
9*sqrt(5)/212
Simplify 6*(2*(1*sqrt(720) + (sqrt(40)/sqrt(2) - sqrt(20))*1)/(sqrt(1000)*2 + -1*sqrt(30)/sqrt(3)))**2.
1728/361
Simplify ((((sqrt(250)*-2 + sqrt(250))*-3 + sqrt(250) + sqrt(250))/(sqrt(100)/sqrt(160) - sqrt(10)))/(-1*sqrt(5)*3*5*3))**2.
80/729
Simplify -6*(1*(1 + -6*(sqrt(2299) + 1))*-3)**2*-1.
35640*sqrt(19) + 4470606
Simplify (5*(-2*sqrt(70) - sqrt(70) - sqrt(70)))/(sqrt(10) + sqrt(10)*2*6) + (sqrt(784)*-1 - sqrt(49))/(sqrt(1008)*-2).
-415*sqrt(7)/312
Simplify ((6*sqrt(102)*-5 + sqrt(102))*-6)/((sqrt(2646) - sqrt(54))*-6).
-29*sqrt(17)/18
Simplify 2*(-1*(sqrt(448) - (2*sqrt(448) - sqrt(448))) + sqrt(448) - (sqrt(448) - (sqrt(448) + sqrt(448) + 2 + -2 + sqrt(448))))**2*-4 + 0.
-32256
Simplify (sqrt(396) + (sqrt(396) - (sqrt(396) - (-2*sqrt(396) + sqrt(396)))*-1) + ((5*sqrt(396) - sqrt(396))*-3 - sqrt(396)) + 0)**2*-2.
-64152
Simplify ((sqrt(180)/sqrt(45))/((sqrt(192) + sqrt(12))*-3) - (sqrt(300) - (sqrt(300) - 1*sqrt(300)) - sqrt(300) - (3*sqrt(243))**2)) + 0.
-sqrt(3)/45 + 2187
Simplify ((sqrt(156)*-3 + sqrt(156))*-4 + (sqrt(156) + -3*sqrt(156) + sqrt(156))*3)/((-4*(sqrt(972) - (sqrt(972) - 1*sqrt(972))) - sqrt(972))*5).
-sqrt(13)/45
Simplify (5*(sqrt(1408) + sqrt(1408)*-1)*4)/(1*6*(sqrt(2) + 5*sqrt(98))).
0
Simplify (3*(sqrt(240) + sqrt(60))/sqrt(12)*6)**2 + (sqrt(5) - (-1*sqrt(500) - sqrt(500))**2) + 1*sqrt(5)*2 + -1 + -4.
3*sqrt(5) + 12575
Simplify 1 + 4 + -4*6*(sqrt(320) + 2*sqrt(320))*-4.
5 + 2304*sqrt(5)
Simplify (-3 + 4 + sqrt(117)*-3*-1 + 2)**2 + 4.
54*sqrt(13) + 1066
Simplify 4 + 2 + -2 + (-2*((sqrt(1008) - (sqrt(1008) + 1)) + sqrt(1008)))**2 + (sqrt(1008) + 4 + sqrt(1008)*-2 + sqrt(1008) + 0)**2.
-96*sqrt(7) + 4056
Simplify (0 + -4 + -3 + -6*(sqrt(1573) + 1 + sqrt(1573))*-6)**2.
45936*sqrt(13) + 8155273
Simplify -6*((sqrt(130)*3*-4)/((sqrt(70)*3 + sqrt(70) - sqrt(70))/sqrt(7)) + -1 + -1)*3.
36 + 72*sqrt(13)
Simplify (5*(sqrt(60)/sqrt(192) - (2 + sqrt(5) + 0)) + -2 + (sqrt(245) - (sqrt(245) + 1)) + sqrt(245) + 2 + sqrt(245) + 2*sqrt(245))**2*-2.
-48981/8 + 1067*sqrt(5)
Simplify ((sqrt(121) - -2*sqrt(121))*-4 - sqrt(121))/(sqrt(11) - sqrt(176)*-6) + -2 + -6*(sqrt(11) + 0) + 0.
-163*sqrt(11)/25 - 2
Simplify (-2*(2 + sqrt(704) + -2 - sqrt(704)) + (1 + sqrt(704))*-4 + (sqrt(704) - (sqrt(704)*1 + -1)) + 5)**2.
-128*sqrt(11) + 11268
Simplify -2*(1*sqrt(99))**2*-1 + (sqrt(99) - (0 + sqrt(99)))*1*-3.
198
Simplify ((sqrt(847) + 0)*-2 + sqrt(847) + sqrt(847)*2*6)**2 - (-2*((sqrt(7) - (sqrt(7) + sqrt(343) + 5 - sqrt(7))) + 3))**2.
-96*sqrt(7) + 101463
Simplify (1*-5*(2 + (sqrt(475) - (4 + sqrt(475))) + -1 + -1 + (sqrt(475) - (4*sqrt(475) + -3))))**2.
750*sqrt(19) + 106900
Simplify (sqrt(110)*-1*-1)/((sqrt(90)*1)/sqrt(9)) + 4*(sqrt(132)*-1)/sqrt(12)*-4.
17*sqrt(11)
Simplify (-2 + (((sqrt(162) + -3*sqrt(162)*-2 + sqrt(162))/sqrt(3))/(sqrt(20)/(-2*sqrt(10)) + sqrt(18)*1))**2)*6.
41172/25
Simplify (-5 + 4 + 0 + 0 + sqrt(1216) + (sqrt(1216) - (0 + sqrt(1216)))*6*-1 + 5)**2.
64*sqrt(19) + 1232
Simplify ((1*sqrt(1872))**2 + -1)*1 + sqrt(325)*3 + (sqrt(104)/(-3*sqrt(8)) + sqrt(13))**2.
15*sqrt(13) + 16891/9
Simplify (-1*sqrt(90)*2 - (sqrt(90) - sqrt(90)*-2*6))/((-1*sqrt(3200))/(-1*sqrt(40))).
-45*sqrt(2)/4
Simplify 5 + -5 + sqrt(18)/((sqrt(18)*4)/sqrt(2)) + (-4*(sqrt(8) + sqrt(2)) + sqrt(2) - 2*sqrt(2)*-4)**2.
sqrt(2)/4 + 18
Simplify -2*(sqrt(15)/(sqrt(6)/sqrt(2)) + sqrt(5) + -5) + (-1 + sqrt(180))**2*-4*-2.
-100*sqrt(5) + 1458
Simplify -3*(-4*sqrt(108))**2 + sqrt(108) + (sqrt(108) + sqrt(108)*4)*6 - ((5 + 1 + sqrt(108) - sqrt(108)) + ((sqrt(108) + sqrt(108) + 0)*-2)**2 + 4).
-6922 + 186*sqrt(3)
Simplify ((-3*sqrt(135))/sqrt(9) - sqrt(1500)*-3)/((-2*sqrt(1225) + sqrt(25))/(sqrt(45)/(sqrt(27)/sqrt(3)))).
-27*sqrt(3)/13
Simplify ((0 + sqrt(128) + 3 - (sqrt(128) + -1 + 1 - -3*(0 + sqrt(128)))) + 2)**2.
-240*sqrt(2) + 1177
Simplify (-4 + (6*-6*(sqrt(162) + 2))**2 + (-6*(2 + sqrt(162)) - (sqrt(162) + -1 + (sqrt(162) - (sqrt(162)*-3 + sqrt(162)))))**2)*2.
97272*sqrt(2) + 462906
Simplify sqrt(26)/(sqrt(20)/sqrt(10)) - (sqrt(1053) + 1) - (-3*(sqrt(117)/sqrt(9) - sqrt(13)) + (sqrt(468)*1)**2).
-469 - 8*sqrt(13)
Simplify ((sqrt(121) - 2*sqrt(121)*2) + 6*sqrt(121)*2)/(-6*-2*sqrt(11)*3) + 0.
sqrt(11)/4
Simplify -2*(sqrt(7)*1*4 - (sqrt(7) - (-4*sqrt(847) + sqrt(7))) - (sqrt(126)*-1)/(sqrt(242)*-2))**2.
-5457823/242
Simplify
|
{
"pile_set_name": "DM Mathematics"
}
|
ive of k**5/60 - 25*k**4/24 + 14*k**3 - k**2 - 9*k. Factor b(g).
(g - 21)*(g - 4)
Let l(x) be the first derivative of -x**5 + 75*x**4 + 530*x**3 + 1130*x**2 + 975*x - 3473. Factor l(a).
-5*(a - 65)*(a + 1)**2*(a + 3)
Let -856*t**3 + 38*t + 4675*t**2 + 68*t + 39*t**4 + 136*t = 0. Calculate t.
-2/39, 0, 11
Solve 0 - 2/7*t**5 - 32/7*t**2 - 114/7*t + 32/7*t**4 + 116/7*t**3 = 0 for t.
-3, -1, 0, 1, 19
Suppose -4*k + 19 - 7 = 0, 2*x - 281 = 5*k. Determine w so that -x*w**3 - 15*w**2 + 0*w**4 + 3*w**4 + 142*w**3 + 18*w = 0.
-2, 0, 1, 3
Let j(d) be the second derivative of -1 + 1/10*d**5 + 1/135*d**6 + 0*d**2 + 4/9*d**4 + 16/27*d**3 + 18*d. Factor j(q).
2*q*(q + 1)*(q + 4)**2/9
Suppose 21*d - 103 = 2. Let h be ((5 - 12) + 8)/d. Factor -4/5*v - 2/5*v**3 + v**2 + h.
-(v - 1)**2*(2*v - 1)/5
Let g = -157514 + 157514. Solve -1/4*d**2 - 1/2*d + g = 0.
-2, 0
Let t(w) = -w + w + 3*w + 27 + 6*w. Let f be t(-3). Factor -1/3*a**2 + 1/3*a + f - 1/3*a**3 + 1/3*a**4.
a*(a - 1)**2*(a + 1)/3
Let n(u) = -36*u - 12. Let k be n(-3). Let o be k/(-171) + (-3)/9 + 1. Solve o + 4/19*d + 2/19*d**2 = 0 for d.
-1
Let q be (4 + -1 + 0)/(-1). Let l be 6/(-24)*4 - q. Let 0 + 10/3*z**l - 8*z**3 + 25/3*z - 1/3*z**5 - 10/3*z**4 = 0. Calculate z.
-5, -1, 0, 1
Suppose 0 = -b + 3*b - 14, -d - 23 + 12 = -2*b. Factor -2/5*t**d + 32/5 - 8/5*t**2 + 8/5*t.
-2*(t - 2)*(t + 2)*(t + 4)/5
Let o = 64/111 - 9/37. Let j(u) be the first derivative of 4/5*u - o*u**2 - 14 + 2/45*u**3. Factor j(b).
2*(b - 3)*(b - 2)/15
Let u(h) = h + 2. Let p be u(-2). Let i = -8515890/11 - -774172. Factor p*o + 0*o**2 + i*o**3 + 0.
2*o**3/11
Let u(p) be the second derivative of -p**4/20 - 17*p**3/10 - 21*p**2 + 179*p + 6. Find w such that u(w) = 0.
-10, -7
Determine x so that 891/2*x + 222*x**2 + 223 - 1/2*x**3 = 0.
-1, 446
Suppose 262*t - 259*t = 5*l - 4, 3*l = 3*t. Let p(k) be the first derivative of 0*k + 1/20*k**4 - 2/5*k**l + 1/25*k**5 - 4/15*k**3 + 28. Factor p(m).
m*(m - 2)*(m + 1)*(m + 2)/5
Let y(h) be the second derivative of 2/3*h**4 + 1/20*h**5 - 1/15*h**6 - 2/3*h**3 + 10 + 0*h**2 - 2*h. Factor y(k).
-k*(k - 2)*(k + 2)*(2*k - 1)
Let h be (-4 + 6)/(5 + -27 + 23). Let 1/4*r**h - 19/4*r + 9/2 = 0. Calculate r.
1, 18
Let x be (-7)/7 - (2 - 42)/5. Let t(q) be the second derivative of 0*q**3 - 1/2*q**4 - 3/4*q**5 - 2/5*q**6 - 1/14*q**x + 0*q**2 + 0 + 4*q. Factor t(o).
-3*o**2*(o + 1)**2*(o + 2)
Suppose 17*w - 23*w + 42 = 0. Factor -55*q - 10 - w + 7 + 0 - 75*q**3 + 140*q**2.
-5*(q - 1)**2*(15*q + 2)
Factor -6066 - 186266 - 63840*n + 168*n**3 - 3*n**4 - 72*n**2 - 240868.
-3*(n - 38)**2*(n + 10)**2
Let p(j) be the second derivative of j**5/170 + 7*j**4/34 + 128*j**3/51 + 180*j**2/17 - 55*j + 4. Determine v, given that p(v) = 0.
-10, -9, -2
Let b be (-648)/(-110) + (-60)/55. Let z(q) be the first derivative of -q**4 - 22/3*q**3 - 6*q**2 + 8/3*q**6 + 19 + b*q**5 - 2*q. Factor z(u).
2*(u - 1)*(u + 1)*(2*u + 1)**3
Let w(t) be the third derivative of -t**7/525 - 83*t**6/150 - 162*t**5/25 - 482*t**4/15 - 256*t**3/3 - t**2 - 2*t - 1910. Solve w(i) = 0.
-160, -2
Let y = 5 + -10. Let u be 4 - (-39)/(-5) - y. Determine a, given that u - 3/5*a - 3/5*a**2 = 0.
-2, 1
Suppose 0 = -u + 2*u + 141. Let x = u + 143. Suppose 53*s + 116 - 416 + 7*s - 4*s**x + s**2 = 0. What is s?
10
Factor 132207*n**3 - 10*n + 46*n**2 - 132202*n**3 - 36 - 161*n.
(n - 3)*(n + 12)*(5*n + 1)
Let l(z) = 2*z**3 + 2*z**2 + z. Let w(f) be the second derivative of 13*f**5/20 + f**4/4 - 8*f**3/3 + 10*f**2 + 199*f. Let k(x) = 4*l(x) - w(x). Factor k(t).
-5*(t - 2)*(t - 1)*(t + 2)
Let u be 76/12 + (-42)/28*6/3. Solve -2/3*t**3 + 6*t + u + 2*t**2 = 0.
-1, 5
Let b(m) = m**3 - 2*m + 1. Let n(y) = -y**4 + 1006*y**3 - 249000*y**2 - 250014*y + 7. Let f(j) = 14*b(j) - 2*n(j). Factor f(g).
2*g*(g - 500)**2*(g + 1)
Let w be -1897 + 1857 - -22*2. Factor 2/5*n**w - 10*n - 24/5 - 26/5*n**2 + 2/5*n**3.
2*(n - 4)*(n + 1)**2*(n + 3)/5
Suppose 0 = 57*p - 33*p - 744. Solve -15*u**3 - 39*u - 50 + 85*u - p*u - 5*u**4 + 55*u**2 = 0 for u.
-5, -1, 1, 2
Let s = -2191 - -2216. Suppose s*j = 12*j + 65. Factor 4/5*x**2 - 2/5 + 2/5*x**j - 2/5*x**4 - 4/5*x**3 + 2/5*x.
2*(x - 1)**3*(x + 1)**2/5
Suppose 4*s = -3*g + 1048, -2*g + 2*s = 2*g - 1390. Suppose -5*z = -97 - g. Factor 2 + 2*i + 2*i - z*i**2 + 91*i**2.
2*(i + 1)**2
Let m(j) be the third derivative of -j**5/45 - 175*j**4/3 + 2102*j**3/9 + 50*j**2 + 2*j + 40. Determine k, given that m(k) = 0.
-1051, 1
Let f = 1124893/749926 + -2/374963. Factor 3/4 + 3/4*j**2 - f*j.
3*(j - 1)**2/4
Let p(c) be the third derivative of c**6/30 - 20*c**5 - 201*c**4/2 - 604*c**3/3 + 2293*c**2. Determine t, given that p(t) = 0.
-1, 302
Let v(f) be the first derivative of 5*f**3/3 + 605*f**2/2 - 1230*f + 585. Suppose v(t) = 0. What is t?
-123, 2
Let d(f) be the first derivative of -f**6/2 - 27*f**5/5 + 105*f**4/4 - 15*f**3 - 51*f**2 + 72*f + 2612. Solve d(q) = 0.
-12, -1, 1, 2
Let c = 350089/20 + -69773/4. Factor -7803/5 + c*f - 3/5*f**2.
-3*(f - 51)**2/5
Let i(f) = -3 - 191*f - 1 - 9*f**5 + 48*f**2 + 30*f**3 + 210*f. Let u(n) = 8*n**5 - 30*n**3 - 46*n**2 - 18*n + 3. Let l(r) = 3*i(r) + 4*u(r). Factor l(d).
5*d*(d - 3)*(d + 1)**3
Let j = -125/51203 + 40154371/46543527. Let c = j - 42/101. Let c*a**2 + 4 - 40/9*a = 0. What is a?
1, 9
Factor 1984/5 + 1056/5*s + 156/5*s**2 + 4/5*s**3.
4*(s + 4)**2*(s + 31)/5
Suppose 0 = 2*g + 7*j - 2*j - 3001, -2*g = -4*j - 2992. Suppose 85 - g*o**2 - 405 + 80*o + 1493*o**2 = 0. What is o?
8
Let p = 275 - 268. Determine x so that 12*x**4 + 14*x**3 - p*x**4 + 5*x**5 - 5*x**2 - 19*x**3 = 0.
-1, 0, 1
Let u(n) be the first derivative of -53 + 69/8*n**2 + 3/16*n**4 - 13/4*n**3 - 33/4*n. Factor u(d).
3*(d - 11)*(d - 1)**2/4
Let d(w) be the second derivative of w**6/75 - 109*w**5/50 + 1043*w**4/10 - 8639*w**3/15 + 5618*w**2/5 - 2*w - 53. Solve d(y) = 0 for y.
1, 2, 53
Let x(z) be the third derivative of -507*z**6/100 - 26*z**5/5 + 49*z**4/20 - 2*z**3/5 - 89*z**2. Determine h so that x(h) = 0.
-2/3, 1/13
Factor -204/5*a + 2/5*a**2 + 578.
2*(a - 85)*(a - 17)/5
Let d be (-1 - 0)*-1 - 66. Let p(m) = -120*m**2 - 265*m - 440. Let w(c) = 11*c**2 + 24*c + 40. Suppose 7 = 34*a + 211. Let t(s) = a*p(s) + d*w(s). Factor t(k).
5*(k + 2)*(k + 4)
Let c(f) = -111*f - 10764. Let b be c(-97). Let 75/7*g**2 + 333/7*g**3 + b*g**5 + 0 + 225/7*g**4 - 54/7*g = 0. What is g?
-9, -1, 0, 2/7
Let g(t) = 2*t - 32. Let q be g(19). Suppose -o - 14*o = -q*o. Find z such that -2/3*z**2 + 2/3 + o*z = 0.
-1, 1
What is r in 17/6*r**2 + 8 + 7/3*r**3 + 1/6*r**4 - 40/3*r = 0?
-12, -4, 1
Let g(x) be the first derivative of x**3/12 + 4*x**2 + 64*x + 1041. Solve g(z) = 0.
-16
Let g(m) = 25*m**5 + 608*m**4 - 9770*m**3 - 4640*m**2 + 9840*m + 4032. Let a(q) = -q**5 - 18*q**3. Let t(j) = -5*a(j) - g(j). Find x, given that t(x) = 0.
-42, -1, -2/5, 1, 12
Suppose 4*l + 1 = -7. Let q be -30*2/l + 0/2. Factor -48*f**4 - 17*f**5 + q*f**3 - 5*f**2 - f**2 + 3*f**3 + 38*f**5.
3*f**2*(f - 1)**2*(7*f - 2)
Let s(l) = -31*l**2 - 107*l + 1204. Let i(k) = 17*k**2 + 54*k - 603. Let b(y) = 7*i(y) + 4*s(y). Determine a so that b(a) = 0.
-17, 7
Let n be 4/48 + (-2012)/(-48). Suppose -242*f = -228*f - n. Find o, given that -3/2*o**5 + 0 + f*o**2 + 6*o**4 + 0*o - 15/2*o**3 = 0.
0, 1, 2
Let v be (-1419)/4730 - 33/(-10). Solve -3888*q - 8748 - 4/3*q**4 - 48*q**v - 648*q**2 = 0.
-9
Suppose -4 = q - 3*q. Let p = 31027 + -154577/5. Determine x, given that -p*x**4 - 224/5*x**3 - 24/5*x**q - 162/5*x**5 + 0 + 0*x = 0.
-3, -2/9, 0
Let o be ((0*(-9)/45)/(-2))/(-2). Factor o + 2/5*t**4 - 2*t**2 - 30*t + 14/5*t**3.
2*t*(t - 3)*(t + 5)**2/5
Let g be -43 + 36 - (3 - 14). Let z(y) be the third derivative of -1/315*y**7 - y**2 + 1/90*y**6 + 0*y**3 + 0*y**5 + 0 + 0*y + 0*y**g. Solve z(i) = 0.
0, 2
What is n in 0*n + 1050/13*n**4 + 0 + 250/13*n**5 + 686/13*n**2 + 1470/13*n**3 = 0?
-7/5, 0
Let f(q) = -4*q**2 - 30*q + 44. Let o be f(-9). Let y be (o/(-12))/(10 - (-30)/(-6)). Factor 0 - 5/3*k + y*k**2.
k*(k - 10)/6
Let x = 488/9 - 5530/99. Let z = x + 20/11. Find m such that -2/11*m**3 - z*m**2 + 2/11 + 2/11*m = 0.
-1, 1
Suppose -104*t + 99*t = -10. Let -6*l + 5*l**t + 4282*l**3 + l - 5 - 4277*l**3 = 0. What is l?
-1, 1
Let o(d) be the second derivative of -46/3*d**3 + 1058*d**2 + 25 + 1/12*d**4 - 2*d. Let o(a) =
|
{
"pile_set_name": "DM Mathematics"
}
|
k*m(w) - 5*s(w). Determine a(-5).
-2
Let j(n) = -8*n**3 - n**2 - n - 1. Let z = -15 - -14. Determine j(z).
7
Let m(o) = o**3 + o**2 - o + 1. Let z be -2 + -4*(1 - 2). Let f be 4/(-4) - z - -3. Give m(f).
1
Let z(w) = -7*w + 23. Let v(b) = 3*b - 11. Let i(f) = 13*v(f) + 6*z(f). What is i(-5)?
10
Let k = 110 - 102. Let u(p) = p**3 - 7*p**2 - 8*p + 7. Give u(k).
7
Let v(s) be the second derivative of -s**2 + 0 + 4*s - 1/3*s**3 + 1/4*s**4 - 1/20*s**5. Give v(2).
-2
Let g(a) = 7*a + 1. Let c(f) = -2 + 1 + 2*f + 4*f + 3. Let l(q) = 6*c(q) - 5*g(q). Give l(0).
7
Let x(z) = z**2 - 7*z + 9. Let q(t) = t**3 + 11*t**2 - 3*t - 27. Let o be q(-11). Give x(o).
3
Suppose 27*z + 42 = 20*z. Let m(d) = d**2 + 5*d - 4. Determine m(z).
2
Let w(m) = -15 + m + 10 + 2. Determine w(-3).
-6
Let i(q) = -q - 5. Let y(a) = -8*a + 2*a**2 - a**2 + 7 - 1. Let j be y(7). Let o(p) = p**3 + p**2 + p + 1. Let u be o(j). Calculate i(u).
-5
Let j = -13 + 11. Let r(s) = -s**3 + s**2 - 2*s - 2. Give r(j).
14
Let l(t) = -t**3 + 3*t**2 - 3*t + 2. Suppose -3*m + 21 = m - 3*x, 0 = 5*m + 4*x - 34. Let u be 14/6 - 2/m. Suppose -u*s + 4 = -0*s. Calculate l(s).
0
Let m(l) = 5*l**3 - l**2 + 2*l - 1. Let s(y) = -y**3 + y**2 - y + 1. Let p(z) = m(z) + 6*s(z). Determine p(4).
5
Let z be 6/15 - (-24)/(-10). Let g(s) = -6*s**2 + s - 1. Let r be g(z). Let m be (-2)/9 - 60/r. Let q(l) = 4*l. What is q(m)?
8
Let j(b) be the first derivative of -b**4/4 + b**2 + b - 30. Let v be -2*1 + (-1 - -1). Calculate j(v).
5
Let h(b) = b. Let x be h(-3). Let g(i) = 5*i**3 + 3*i**2 + 2*i - 3. Let z(l) = -l**3 - l + 1. Let r be 6/21 + 156/42. Let v(c) = r*z(c) + g(c). Determine v(x).
7
Suppose -n = -a - 2*a - 13, -n + 1 = 0. Let q = -2 + a. Let h(o) = -o - 11. Give h(q).
-5
Let u(z) = -5*z + 3. Let q(j) = 11*j - 6. Let o(r) = -4*q(r) - 9*u(r). Suppose -5*k - 3 = -38. What is o(k)?
4
Let p(f) = -f**3 - 9*f**2 - 9*f - 9. Let z = -19 + 11. Give p(z).
-1
Let o(v) = 0*v**2 + 19 - 12*v + v**2 + 0*v**2 - 8. What is o(11)?
0
Suppose -23 = -4*n + 5. Let p(j) = 3*j - 8. Calculate p(n).
13
Let w(h) = h**3 + 2*h**2 - 3*h + 1. Let o(y) = -4*y + 5. Suppose -5*j + 4 = -6. Let f be o(j). Give w(f).
1
Let g(o) = 3*o - 5*o - 5 + 2 - o. Calculate g(-3).
6
Let y = 3 - 2. Let c(a) = 1. Let g(s) = -s + 5. Let d(b) = y*g(b) - 5*c(b). Suppose -4*f + 2*f = -8. Give d(f).
-4
Let q(c) = -c**3 + 504*c**2 + 2 + 2*c**3 - 512*c**2. Calculate q(8).
2
Suppose 0 = -2*w + 12 - 4. Let t(z) = 3*z - 4*z**3 + 5*z**3 + z**2 + w*z**2. Calculate t(-2).
6
Let h(l) = -6*l**3 + 11*l**2 + l - 10. Let y(b) = b**3 - b**2 + 1. Let k(z) = h(z) + 5*y(z). What is k(6)?
1
Let b = 7 - 3. Let k = 5 - b. Let u(r) be the third derivative of -r**5/15 - r**4/24 - r**2. What is u(k)?
-5
Let b(m) = -5*m**3 - 2*m**2 + 5*m - 3. Let o be b(1). Let q(u) = -1 + u**3 + 4 + 4*u + 6*u**2 + 0. What is q(o)?
8
Suppose 2*r = -5 + 1. Let g(t) = -1 + 0 + 4 + 3*t. Give g(r).
-3
Suppose 0 = 2*s + k - 6, 15 + 11 = 5*s - 3*k. Suppose 0*m + 16 = s*m. Let x(r) = 2*r**2 - 6*r. Calculate x(m).
8
Let z(g) = 8*g**3 - 6*g - 7*g**3 - 2*g - 4 + 7*g**2. What is z(-8)?
-4
Let d(r) = -r**3 + 7*r**2 + 2. Suppose -13*o + 56 = -5*o. What is d(o)?
2
Suppose -s - s + 6 = 0. Let p(h) = h**3 + h**2 - 4*h + 2. Let o(k) = k**3 + 2*k**2 - 4*k + 2. Let i(w) = -2*o(w) + 3*p(w). Give i(s).
8
Suppose 26 = -5*x - 9. Let y(o) = o**2 + 8*o. What is y(x)?
-7
Let m(o) = -9*o**3 + o**2. Suppose 0 = -6*k + 6. Give m(k).
-8
Suppose -5*n = -2*l + 5, -3*l + 2*n = -7 - 6. Suppose 94 = l*f + 4*c, 1 + 3 = 4*c. Suppose 21 = -3*x - 4*p, 0*x = x + 5*p + f. Let u(a) = a + 3. Calculate u(x).
0
Let g(l) = -l**3 + 7*l**2 - 4*l - 6. Let j = 39 - 34. Determine g(j).
24
Let m(o) be the second derivative of 0 + 9/2*o**2 - 4/3*o**3 + 7/12*o**4 - 1/20*o**5 + 9*o. Calculate m(6).
-3
Suppose -5*o - 4*l + 36 = 6, -10 = -2*l. Let m be (-6 - (o - 4))/(-2). Suppose 4*q = m + 6. Let p(h) = -h**3 + h**2 - 2*h + 1. What is p(q)?
-7
Let f(t) be the third derivative of -t**4/24 - 11*t**3/6 + 5*t**2. Determine f(-5).
-6
Let v(a) = 6*a**2 + 2*a - 10*a**2 + 6*a**2 - 8*a**3 + 9*a**3. Determine v(-2).
-4
Let h = 56 - 64. Let m(y) = -y**3 - 7*y**2 + 8*y + 3. Give m(h).
3
Let z(n) = -4 + 4*n**3 - 2*n + n**3 - 3*n**2 + 0*n - 4*n**3. Give z(4).
4
Let l(s) = -s**2 + 5*s + 3. Let x = -8 - -14. Let n be l(x). Let c(d) = -d**3 + d**2 + 3*d + 1. Let a(t) = -t**2. Let q(y) = 4*a(y) + c(y). What is q(n)?
-8
Let r be 1*8/(-6)*3. Let h(a) = 3*a**2 - 2*a + 7. Let z be (-14)/(-1)*7/(-14). Let s(o) = -5*o**2 + 4*o - 13. Let g(x) = z*h(x) - 4*s(x). Determine g(r).
-5
Let n be (-3)/6*2 - -2. Suppose 0*p + 2*p = 0. Let b(w) = 2*w - 1 - w + p. Give b(n).
0
Let t(c) be the first derivative of -c**3/3 + c**2/2 - 4*c + 1. Let v(a) = -7*a + 59. Let q be v(8). What is t(q)?
-10
Let q(u) = 12*u + 3. Let f(d) = -13*d - 2. Let w(j) = 4*f(j) + 3*q(j). What is w(1)?
-15
Suppose 11 = -c - 3*y, 7*c - 2*c + 2*y + 3 = 0. Let w(o) = -2*o - 1. What is w(c)?
-3
Let j(f) = 0*f**3 - f**3 + 4*f**2 + 1 + 2*f**3. Let o(h) = h**2 + 14*h - 35. Let t be o(-16). Calculate j(t).
10
Let j = 164 + -169. Let z(t) = t + 5. Determine z(j).
0
Let x(u) be the second derivative of -u**4/12 - u**3/6 + 3*u. Let k = 0 + 1. Suppose -k = -b - 3. What is x(b)?
-2
Suppose -z + 2*z + 2 = 0, -z = 4*s - 18. Let f(m) be the first derivative of -m**3/3 + 3*m**2 - 5*m - 1. Give f(s).
0
Let r(v) = -9*v**2 - 5*v - 7. Let o(w) = -4*w**2 - 3*w - 3. Let z(y) = 2*y + 11. Let q be z(-9). Let f(j) = q*o(j) + 3*r(j). Determine f(-5).
-5
Suppose g + 5*g - 3*g = 0. Let l(d) be the second derivative of -d**2 - 2*d + 1/6*d**3 + g. Determine l(2).
0
Let l(z) be the third derivative of -z**5/60 - z**4/24 - 5*z**3/6 + 11*z**2. Determine l(0).
-5
Let q = 9 - 7. Let h(z) = 1 - z - q + 9. What is h(4)?
4
Let b(j) = j**2 + j. Let h be b(0). Let v(f) = -f - 7 - 8 + 17 - f**2. What is v(h)?
2
Let z(a) = -7*a**3 - 3*a**2 + 1. Let d(p) = p - 2 + 3*p**3 + 5*p**3 + 4*p**2 - p**3. Let j(u) = -2*d(u) - 3*z(u). Give j(1).
7
Let h(p) = -1. Let z(q) = q - 20. Let m(s) = 3*h(s) - z(s). Let n be (18/(-8) - (-5)/20) + 2. What is m(n)?
17
Suppose 0 = -3*o + 4*o. Let d(t) = o*t**3 - t**3 + 2 + 29*t**2 + 2*t - 26*t**2. Let n = -7 + 11. Calculate d(n).
-6
Suppose 0 = -2*g + 4*h, 4*h = 3*g + h. Suppose g = -0*q - 3*q + 12. Suppose 5*v - 3*v - 26 = 4*u, q*v = 2*u + 22. Let z(f) = -f**2 - 5*f + 2. Determine z(u).
2
Let p(j) = -j**3 + 7*j**2 - 6*j + 9. Let b(l) = -l**2 + 9*l - 2. Let z be b(8). What is p(z)?
9
Let r = 42 - 43. Let x(w) = 7*w**3 - 2*w**2 - w. What is x(r)?
-8
Let g(n) = -n - 5*n - 2*n**2 - 5 - 2*n**2 + 2*n**3 - n**3. What is g(5)?
-10
Let h = -8 + 11. Let l(n) = -n - 2. Calculate l(h).
-5
Let d(y) be the first derivative of -2*y**3/3 + y**2 + 4*y - 12. What is d(3)?
-8
Let t(s) = s - 1. Let u be t(3). Let h(w) = -w - 1. Let k(x) = 4*x + 5. Suppose -3 + 13 = -5*o. Let y(m) = o*k(m) - 11*h(m). Give y(u).
7
Let l(q) = -43*q + 0 + 4 + 44*q. Give l(-6).
-2
Let x(b) = -b - 5 - 1 + 0. Suppose -2 = -2*z + n, n = 2*z + 3*n - 8. Suppose d - 4*d = 3*u, 3*u = z*d. Calculate x(u).
-6
Suppose 0 = -f - 0*f. Let t be (5/3 + f)*3. Let i(z) = -2 - t*z + 3*z + 1. Determine i(-2).
3
Let y(l) = -5*l**2 - 3*l + 3*l**3 - 2*l**3 - 2*l**3 + 3. Let h(k) = k**2 + 2*k - 3. Let a be h(-3). Suppose -3*m - 9 = -a. Calculate y(m).
-6
Let z = 10 - 19. Let d(t) = -2*t - 12. Give d(z).
6
Let h(l) be the second derivative of -1/6*l**3 + 0 + 0*l**2 - 2*l. Give h(5).
-5
Let g(a) = -a**3 + 5*a**2 - a + 4. Suppose 30 = -v + 4*v. Suppose -4*b - 46 - v = 0. Let w = -9 - b. What is g(w)?
-1
Let a(f) = -f + 8. Let m be a(8). Let w(q) be the first derivative of -2 + 1/3*q**3 - 6*q + 1/2*q**2. Give w(m).
-6
Let t(s) = s**3 - 3*s**2 - 2*s + 3. Let o be t(3). Let r(a) = a - 2. Give r(o).
-5
Let a(j) = -4*j**3 + 5*j**2 - 8*j + 1. Let b be (-1 - -7) + -1*2. Let g(h) = -3*h**3 + 4*h**2 - 7*h + 1. Let m(v) = b*a(v) - 5*g(v). What is m(2)?
-3
Let i = 16 - 11. Let t(f) = -f**3 + 4*f**2 + 5*f + 3. Calculate t(i).
3
Let o(j) = j**2 - 3. Let h be o(3). Let y(f) = 4 + 3 - h - 2*f. Let x be 1/2*(-2 - -4). Give y(x).
-1
Let p(r) be the third derivative of r**5/30 - r**4/8 - r**3/6 - 3*r**2. Suppose -4*q = q - 20, 3*u + 4*q = 25. Calculate p(u).
8
Let i(u) = -2*u**2 - 3*u - 4. Let d = -136 - -133. Deter
|
{
"pile_set_name": "DM Mathematics"
}
|
= h - 36. Does 4 divide x?
True
Suppose 0 = 2*w - 2*m - 3816, -3764 + 11403 = 4*w + 3*m. Is 44 a factor of w?
False
Suppose -10 = -5*l - 10. Suppose l = -2*z, 0*z - 2*z + 49 = c. Is c a multiple of 49?
True
Let n = -1 - -6. Let c(k) be the first derivative of 11*k**2/2 + 5*k + 1. Is c(n) a multiple of 20?
True
Let j(l) = -13*l - 494. Is j(-48) a multiple of 13?
True
Let s(x) = x**3 + 3*x**2 + 2*x. Let r be s(-2). Suppose 7 = i - r. Let g = i - -50. Is 18 a factor of g?
False
Let k(o) be the third derivative of o**2 + 1/20*o**5 - 1/12*o**4 + 0 + 0*o + 1/2*o**3. Is 17 a factor of k(6)?
False
Suppose u - s = -0*s + 2, 3*s - 3 = 0. Let x be (-96)/44 - (-4)/22. Is (x/u)/(1/(-18)) a multiple of 6?
True
Let q be 15/6*6/5 - 1. Suppose q*j + 4*g - 220 = 0, j + 4*g - 110 = 3*g. Is 22 a factor of j?
True
Let x be 68/(-2) - (-1 - (-3 - 2)). Suppose -3*k + 6 = -f + 32, -3*k - 42 = 3*f. Let l = k - x. Is 14 a factor of l?
True
Let w be (-3 + 2 + 2)*(-6)/(-6). Suppose -3*p + w = -26. Is 8 a factor of p?
False
Suppose 2*t - 4*n = -222, t - 570 = 6*t - 5*n. Let c = t - -17. Let r = c - -150. Is r a multiple of 25?
True
Suppose 688 - 2158 = -6*b. Let t = b + -137. Is 2/(-1 + t/100) a multiple of 6?
False
Suppose -6*i = -4 - 8. Let c be (-10)/((i + -4)/1). Suppose 0 = -c*w - 5*b + 105, -2*w + 3*w - 33 = -4*b. Is 6 a factor of w?
False
Let r = 223 - -292. Does 30 divide r?
False
Let i = -9 - -12. Suppose -4*s = -16, i*p - 5*s - 40 + 15 = 0. Is 2 a factor of p?
False
Suppose 70 + 220 = 5*o. Is o a multiple of 5?
False
Let z(a) = 23*a - 170. Does 35 divide z(15)?
True
Let h be 322/98 - (-2)/(-7). Suppose v = 4*u - 255, 0*u + h*u - 4*v - 201 = 0. Is 5 a factor of u?
False
Let b = -496 + 706. Suppose 0 = 3*h - 180 - b. Is 13 a factor of h?
True
Suppose -2*y - 3*y = -610. Let u be -2*(y/(-4) + 0). Suppose 0 = 3*t - 146 - u. Is 23 a factor of t?
True
Let i be (9/5)/(72/(-15) - -5). Suppose 0 = 4*p - i*p + 1450. Is 61 a factor of p?
False
Let a(k) = 19*k**3 + 3*k**2 - 2*k. Let z be a(2). Suppose -5*n + n - z = -4*v, -218 = -5*v - n. Let o = v - 20. Is 21 a factor of o?
False
Suppose 5*g = 4*g + 324. Does 5 divide 6/(-14) - g/(-21)?
True
Let p(i) = -i**2 - 26*i - 22. Let h be p(-16). Does 46 divide -6*((-3)/(-12))/((-1)/h)?
False
Let p(h) = h - 5. Let n be 2/((-10)/(-105)) + (3 - 1). Does 3 divide p(n)?
True
Suppose 42 = 3*k + 3*c - 8*c, -k = -2*c - 15. Suppose -x - 2*x + k = 0. Suppose 23 = x*s - 1. Does 2 divide s?
True
Let q = 8 - 6. Let f = -110 - -180. Suppose 3*x = b + 85, -x + q*b - f = -3*x. Does 10 divide x?
True
Let q(k) = -222*k - 36. Is 34 a factor of q(-2)?
True
Suppose 2*g + g = 9. Let w = 6 - g. Suppose -w*m + 258 = 4*s, 0*m - 256 = -4*s - 2*m. Is 25 a factor of s?
False
Let v = -414 + 719. Let m be ((-107)/2 - -3)*4. Let g = v + m. Is 26 a factor of g?
False
Let t be (-102)/(-90) + (-4)/30. Does 6 divide -3*t/3*-6?
True
Let j(v) = 31 + 17 - 5*v - 2 + v. Is j(-19) a multiple of 37?
False
Suppose 5*g - 3*h = 269, -3*g - 7*h + 2*h + 175 = 0. Let c be (g/(-4) + 1)*4. Let z = -1 - c. Is z a multiple of 12?
False
Let p(d) = -4*d**3 - 12*d**2 - 2*d - 11. Let b(j) = -5*j**3 - 13*j**2 - 2*j - 12. Let z(h) = -3*b(h) + 4*p(h). Is 5 a factor of z(-9)?
True
Let r(g) be the third derivative of 13*g**4/24 + g**3/2 + 8*g**2. Let k = -1 + 4. Is 7 a factor of r(k)?
True
Let t be (-4)/14 + 0 + 3410/(-217). Let c = t + 207. Does 16 divide c?
False
Suppose -2251 = -2*y - 1197. Is 10 a factor of y?
False
Suppose d - 4 = 3*d. Does 9 divide 107 - d/((-4)/6)?
False
Suppose -392 = 4*p + 1300. Let k = -263 - p. Is k a multiple of 16?
True
Is (-592 + 32)*4/(-10) a multiple of 28?
True
Let d(j) = j**2 + 11*j + 7. Let h(t) = t**2 + 10*t + 7. Let s(b) = -4*d(b) + 5*h(b). Let k be s(-5). Suppose -q + k*q - 28 = 0. Does 4 divide q?
True
Let d be 330/(-48) - (-2)/(-16) - -2. Let c(a) = -a**2 - 6*a + 7. Does 4 divide c(d)?
True
Let h(r) = r**2 + 2*r - 6. Let z(f) = -f**2 - f + 34. Let g be z(6). Is 14 a factor of h(g)?
True
Suppose -7*c + 3*c - 124 = 0. Let d = c + 52. Suppose -48 = -3*w + d. Does 21 divide w?
False
Let v(l) = -l**3 + 26*l**2 - 3*l + 15. Let w be v(26). Let i be 233/2 + (-1)/2. Let b = w + i. Is b a multiple of 6?
False
Let t(o) = -4*o**2 + 1. Let x be t(1). Is (1 + 3)/(x/(-120)) a multiple of 12?
False
Let i = -771 + 808. Does 24 divide i?
False
Let u(v) = -v**3 + v**2 + 2*v + 4. Let b be u(0). Does 14 divide 3/b - (-884)/16?
True
Suppose -17*d = 55558 - 158323. Does 13 divide d?
True
Let c be (1/(-3))/((-8)/48). Suppose 74 = c*q + 18. Does 4 divide q?
True
Suppose 0 = 4*h + 150 - 46. Let v = h - -34. Is 8 a factor of v?
True
Let t(d) = -2*d**3 + 79*d**2 + 53*d - 50. Is t(40) a multiple of 7?
False
Suppose -3*x + 0*m = 2*m - 32, 5*m + 81 = 4*x. Let g(n) = n**3 - 15*n**2 + 22*n - 20. Does 23 divide g(x)?
True
Suppose u - 19*u = -22320. Is u a multiple of 40?
True
Let y(u) = -5*u**2 + 91*u - 70. Let v be (-108)/10 - 3/15. Let s(i) = i**2 - 18*i + 14. Let z(t) = v*s(t) - 2*y(t). Is 12 a factor of z(10)?
False
Let h(x) = 3*x**2 + 9*x - 8. Let t = 10 + -14. Let b be 10*(32/10)/t. Does 30 divide h(b)?
False
Let i(d) = -d**3 - 15*d**2 - 19*d - 15. Does 54 divide i(-15)?
True
Is 21/((-630)/24) + (-25558)/(-10) a multiple of 11?
False
Let a(z) = -2*z**3 - 25*z**2 + 4*z - 5. Is a(-13) a multiple of 8?
True
Is 29 a factor of (12 - 16) + (2 - -988)?
True
Let m(q) = q**2 - 6*q + 12. Let l be m(5). Is (18/l)/(30/1540) a multiple of 11?
True
Let y(c) = 2*c + 1 + c + 2*c**2 + 15. Is y(-6) a multiple of 10?
True
Let o(w) = -5*w + 5. Let g(c) = -8*c + 7. Let j(u) = 5*g(u) - 7*o(u). Does 15 divide j(-3)?
True
Suppose 216 = 4*v + 8. Let w be (-8)/(-1 + 44/v). Suppose -3*x - 19 = -w. Is x a multiple of 5?
False
Let x = 98 + -98. Suppose x = 4*f + n - 179 - 178, 4*f + 3*n - 351 = 0. Does 9 divide f?
True
Let z = 597 - 357. Is z a multiple of 24?
True
Let m(g) = g**3 + 6*g**2 - g - 7. Let a be m(-6). Let k(j) = -j**2 - j. Let y(s) = -74*s**2 + 5*s - 2. Let q(t) = -6*k(t) - y(t). Is 27 a factor of q(a)?
True
Suppose 5*d - 2*s - 1806 = 0, 4*d = -s + 456 + 981. Is d a multiple of 30?
True
Suppose 12*d = 10*d + 336. Is 14 a factor of d?
True
Let x(r) = 24*r**2 - 27*r - 35. Is 6 a factor of x(-3)?
False
Let s = -556 - -706. Does 15 divide s?
True
Let j(a) = -2 + 4*a + 0*a + 4. Let q be j(6). Suppose q = 5*x - 44. Does 14 divide x?
True
Is 21 a factor of (-496)/(-12)*210/28?
False
Suppose 6 = 3*i + 15. Is 5/(i/15*-1) a multiple of 5?
True
Let p = 31 + 32. Is 7 a factor of p?
True
Let r(k) = -27*k - 26. Is r(-14) a multiple of 16?
True
Let b(h) = -2*h**3 + 5*h**2 + 7*h - 10. Let q(t) = -t**3 + 4*t**2 + 6*t - 9. Let p(x) = 6*b(x) - 7*q(x). Let s be p(3). Let l = s + 166. Is l a multiple of 13?
True
Let m be (-3)/(-12)*4*-3. Let t be m - (-1 - -2 - 8). Suppose -2*z - t*z + 60 = 0. Is z a multiple of 2?
True
Suppose -182*m + 184*m - 894 = 0. Does 13 divide m?
False
Let z = 1 - -3. Suppose -167 - 33 = -z*p. Does 7 divide p?
False
Suppose -b + n = -1742, -3*b = 2*n - 4*n - 5224. Does 145 divide b?
True
Suppose -i - 4*j = -5*j - 1749, i = -5*j + 1743. Is i a multiple of 30?
False
Let q(w) = w**3 - 13*w**2 - 16*w + 248. Is q(14) a multiple of 4?
True
Let g = -35 + 50. Is g a multiple of 3?
True
Let j = 0 + 1. Let m be (0 - 9)*10/(-15). Let o = m - j. Is 3 a factor of o?
False
Let a = 68 - 43. Suppose -5*o - a = 50. Let l = o - -37. Is l a multiple of 11?
True
Suppose -2*t + 5*y + 74 = -0*t, -5*y = -t + 42. Suppose b - 4*b - 29 = -4*n, 2*n - b - 13 = 0. Suppose -n*m + t = -m. Does 2 divide m?
True
Let h(m) be the first derivative of 8*m**3/3 + 3*m**2 - 6*m - 11. Is h(-4) a multiple of 17?
False
Suppose 10*b = 7*b + 15. Suppose 2*n - 3*s = 541, 2*n - b*s - 171 = 368. Is 34 a factor of n?
True
Let c = 439 + 703. Is c a multiple of 13?
False
Let j(d) = 2*d**3 - 8*d**2 - 4*d - 8. Let h be j(6). Suppose 0 = -5*g - 93 - h. Let p = 84 + g. Is 7 a factor of p?
False
Suppose -11 = -5*k - 3*m, 2*k - 14 = 3*m + 3. Suppose -2*v = -4*h + 2, 4*v = h + 6 + k. Is 11 a factor of 82/4*(v + -1)?
False
Suppose 1884 = b - 4*k, -b + 1882 = -0*b - 5*k. Is 43 a factor of b?
True
Let t be -16 - 2/(-5 - -3). Is 4 a factor of (-4)/10*-91 - (-6)/t?
True
Let m be 2/(4/3 - 2). Let d be (-4)/6 + (-62)/m. Suppose 5*u = d, -3*h - h + u
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is b(14)?
5
Let g(w) = 11*w**2 - 144*w - 86. Determine g(7).
-555
Let p(c) = c**3 + 11*c**2 + 108*c + 670. Determine p(-8).
-2
Let o(f) = -124*f + 579. Give o(5).
-41
Let t(v) = -v**2 + 152*v - 2287. Determine t(17).
8
Let y(v) = -245*v + 3203. Calculate y(17).
-962
Let z(n) = -1855*n + 16693. Give z(9).
-2
Let p(v) = -29*v + 301. What is p(11)?
-18
Let d(r) = -157*r + 8757. What is d(56)?
-35
Let u(h) = -8*h**2 - 46*h + 2. Give u(-8).
-142
Let d(l) = -18*l**3 - 10*l**2 + 30*l - 19. Calculate d(2).
-143
Let n(d) = -5*d**2 - 8*d + 10. Give n(-3).
-11
Let f(p) = 2*p**2 + 41*p - 295. Calculate f(-26).
-9
Let x(o) = -o**3 + 41*o**2 - 76*o + 1. Determine x(2).
5
Let y(x) = x**3 - 39*x**2 + 30*x + 304. Determine y(38).
0
Let o(i) = i**3 + 6*i**2 + 10*i - 15. Give o(-7).
-134
Let m(z) = 127*z**2 + 633*z - 14. Give m(-5).
-4
Let i(q) = 21*q + 151. Determine i(-6).
25
Let i(s) = -s**3 + 10*s**2 + 545*s + 181. What is i(29)?
7
Let o(p) = -145*p - 111. Give o(-3).
324
Let u(v) = 291*v**3 - v**2 - 7*v - 7. Calculate u(-1).
-292
Let s(v) = 7*v**3 - 83*v**2 - 15*v + 24. Determine s(12).
-12
Let k(n) = -2*n**3 + 38*n**2 - 38*n - 30. What is k(18)?
-66
Let h(t) = -97*t + 50. Give h(-3).
341
Let l(r) = 11*r - 23. What is l(5)?
32
Let b(r) = -28*r**2 + 534*r - 36. Determine b(19).
2
Let j(k) = 6*k**2 + 356*k + 1453. Calculate j(-4).
125
Let z(d) = -4*d**2 + 261*d + 181. Determine z(66).
-17
Let t(o) = o**2 + 26*o + 159. Calculate t(-22).
71
Let k(i) = 10*i**2 + 51*i - 26. Determine k(-9).
325
Let n(z) = 116*z - 354. Calculate n(3).
-6
Let b(m) = -m**3 - 6*m**2 + 74*m + 58. Determine b(-12).
34
Let s(j) = -j**3 + 36*j**2 - 214*j + 100. What is s(29)?
-219
Let q(v) = -246*v - 1482. Calculate q(-6).
-6
Let b(z) = z**3 + 20*z**2 + 35*z - 22. Determine b(-18).
-4
Let s(p) = -p**3 + 17*p**2 - 24*p + 410. Give s(17).
2
Let y(g) = -1079*g + 10795. Give y(10).
5
Let j(f) = f**3 - 9*f**2 - 19*f - 58. Calculate j(12).
146
Let v(k) = 298*k + 1620. Calculate v(-6).
-168
Let t(h) = 14*h**2 - 228*h - 170. Determine t(17).
0
Let i(q) = -q**2 + 1873*q. Calculate i(0).
0
Let i(m) = -m**3 - 11*m**2 + 30*m + 3. Calculate i(-14).
171
Let l(y) = -25*y - 1009. Determine l(-39).
-34
Let h(j) = 52*j - 828. What is h(16)?
4
Let t(f) = 23*f + 629. Calculate t(-28).
-15
Let v(r) = r**2 + 16*r + 17. Give v(-15).
2
Let d(c) = 9*c**2 + 70*c + 69. What is d(-1)?
8
Let r(x) = -5*x**2 - 1677*x + 5079. What is r(3)?
3
Let o(r) = -70*r**2 + 525*r + 945. Determine o(9).
0
Let g(y) = 1055*y - 6392. Give g(6).
-62
Let k(q) = -24*q - 1176. Give k(-47).
-48
Let d(f) = -92*f**2 + 2372*f + 515. Give d(26).
-5
Let p(o) = -o**2 - 97*o + 6948. Give p(48).
-12
Let d(j) = 3*j**3 + 127*j**2 + 33*j - 329. Determine d(-42).
49
Let z(n) = -98*n**3 + 2*n**2 - 5*n - 7. Give z(-1).
98
Let o(w) = -79*w + 3946. What is o(50)?
-4
Let q(s) = 13*s**3 - 4*s**2 - 7*s - 4. What is q(-1)?
-14
Let y(s) = 34*s + 824. Give y(-24).
8
Let h(o) = 2*o**2 + 29*o + 103. Give h(-19).
274
Let g(p) = p**3 + 16*p**2 - 96*p + 194. What is g(-21)?
5
Let i(l) = -21*l + 134. Give i(4).
50
Let v(w) = -6*w**2 - 437*w + 77. What is v(-73)?
4
Let g(v) = -4*v**2 + 99*v - 215. Give g(22).
27
Let z(i) = -i**2 + 440*i + 7285. Determine z(-16).
-11
Let h(w) = -163*w - 12557. Determine h(-77).
-6
Let y(d) = 3*d**3 - 59*d**2 + 132*d - 1. Determine y(17).
-69
Let m(c) = -6*c + 172. Calculate m(30).
-8
Let k(z) = 9*z**3 + 2068*z**2 - 462*z - 458. Calculate k(-230).
2
Let v(c) = 481*c**2 - 42*c + 41. Give v(1).
480
Let z(b) = -3*b**3 - 88*b**2 - 29*b - 7. Calculate z(-29).
-7
Let n(f) = -f**3 + 13*f**2 - 38*f + 133. Determine n(11).
-43
Let i(m) = -38*m + 124. Give i(3).
10
Let x(y) = -7*y**3 + y**2 - 23*y + 46. Give x(2).
-52
Let t(g) = g**3 + 15*g**2 + 39*g - 10. Calculate t(-4).
10
Let c(u) = -15*u**2 + 918*u - 202. Give c(61).
-19
Let t(f) = 4*f - 14. What is t(35)?
126
Let m(x) = 147*x + 13. Calculate m(-1).
-134
Let l(u) = -u**2 - 37*u - 260. Calculate l(-14).
62
Let y(o) = 10*o - 156. Determine y(5).
-106
Let w(k) = 243*k**2 + 90*k + 187. Give w(-2).
979
Let u(n) = 33*n - 151. What is u(3)?
-52
Let s(k) = -343*k + 2330. Calculate s(6).
272
Let f(w) = -11655*w - 11648. Determine f(-1).
7
Let v(h) = -1009*h + 20174. Calculate v(20).
-6
Let r(c) = -12*c**2 + 720*c - 8. What is r(60)?
-8
Let y(p) = 57*p + 2196. Determine y(-37).
87
Let o(d) = -36*d - 2666. What is o(-74)?
-2
Let p(s) = -s**3 + s**2 + 141*s - 110. Give p(12).
-2
Let f(m) = -m**2 - 127*m - 1545. Determine f(-116).
-269
Let y(a) = a**3 + 6*a**2 - 3*a - 4. Calculate y(1).
0
Let b(c) = c**2 + c - 5. Give b(-4).
7
Let m(g) = -118*g + 119. Determine m(3).
-235
Let r(a) = -10*a - 150. Calculate r(-20).
50
Let a(v) = -148*v - 11835. What is a(-80)?
5
Let o(t) = t**3 + 5*t**2 + 72*t + 324. Determine o(-5).
-36
Let a(x) = x**3 + 9*x**2 - 57*x + 203. Calculate a(-14).
21
Let y(r) = -r**3 + 134*r**2 + 1594*r - 2. Determine y(-11).
9
Let o(v) = 2*v**2 + 59*v + 41. Determine o(-28).
-43
Let d(n) = -72*n + 30. Calculate d(4).
-258
Let n(b) = 3*b**2 - 67*b - 119. Give n(24).
1
Let h(v) = -4*v**2 - 45*v + 9. Determine h(-11).
20
Let s(h) = -6*h**3 + 3*h**2 + 4*h + 11. Give s(-4).
427
Let s(u) = 10*u**2 + 34*u - 2. Give s(-4).
22
Let n(s) = -6*s**2 - 29*s + 52. Determine n(-6).
10
Let w(l) = 104*l**2 + 511*l - 17. Give w(-5).
28
Let d(p) = 137*p + 7951. Give d(-58).
5
Let y(n) = -n**2 - 614*n - 4269. Calculate y(-7).
-20
Let t(k) = 3*k + 189. Determine t(-8).
165
Let n(q) = 8*q**2 + 616*q + 2872. Calculate n(-5).
-8
Let x(k) = 1857*k - 27852. What is x(15)?
3
Let f(p) = 19*p + 53. Calculate f(-3).
-4
Let i(a) = -9*a - 306. Give i(17).
-459
Let f(p) = -27*p - 740. What is f(-28)?
16
Let z(b) = -b - 40. Calculate z(-6).
-34
Let z(q) = -q**3 + 12*q**2 - 17*q - 14. Calculate z(9).
76
Let f(m) = 103*m - 1466. Calculate f(18).
388
Let u(m) = -m**2 - 4647*m - 23205. Calculate u(-5).
5
Let c(i) = -536*i - 3754. Give c(-7).
-2
Let m(y) = 31*y + 183. Determine m(-6).
-3
Let s(v) = 2*v**2 - 22*v - 3. Calculate s(11).
-3
Let s(t) = -6*t**3 - 7*t**2 - 7*t + 18. Calculate s(-3).
138
Let n(d) = -164*d - 81. Calculate n(3).
-573
Let q(l) = 20831*l - 104150. Determine q(5).
5
Let d(t) = 115*t + 132. What is d(-2)?
-98
Let x(t) = 2*t**2 - 60*t + 435. What is x(18)?
3
Let t(q) = q**2 - 343*q + 2662. What is t(8)?
-18
Let p(z) = -430*z - 436. Give p(-1).
-6
Let g(w) = -w**3 + 6*w**2 - 34*w + 149. Determine g(5).
4
Let s(g) = -9*g**3 - 33*g**2 + 4*g + 6. Give s(-4).
38
Let s(r) = -66*r**3 - r**2 - 54*r - 107. Give s(-2).
525
Let h(y) = -2*y**3 + 87*y**2 + 147*y - 554. What is h(45)?
-14
Let u(i) = -2*i**3 + 17*i**2 + 95*i - 810. What is u(7)?
2
Let g(n) = -n**2 + 495*n - 11311. Give g(24).
-7
Let b(g) = -g**3 - 14*g**2 - 116*g - 930. Calculate b(-11).
-17
Let b(m) = 44*m + 153. What is b(-3)?
21
Let f(u) = 17*u**3 + 891*u**2 - 533*u - 155. Calculate f(-53).
4
Let l(n) = -n**2 - 105*n + 1791. What is l(15)?
-9
Let q(k) = -k**3 + 18*k**2 + 1215*k - 25. Give q(-27).
-25
Let n(l) = -l**3 - 9*l + 27. Determine n(3).
-27
Let u(w) = -4049*w + 133619. What is u(33)?
2
Let i(r) = -7*r**2 + 79*r - 167. What is i(3)?
7
Let b(x) = 162*x - 790. What is b(5)?
20
Let q(y) = -y**2 - 127*y - 3161. What is q(-34)?
1
Let l(s) = s**3 + 4*s**2 + 18*s + 67. Give l(-4).
-5
Let x(u) = -u**3 + 22*u**2 - 26*u - 213. Calculate x(20).
67
Let u(x) = 2*x**3 - 33*x**2 + 27*x + 139. Give u(15).
-131
Let o(l) = -l + 8. Calculate o(-5).
13
Let x(t) = -t**3 + 14*t**2 - 9*t + 5. Give x(13).
57
Let n(j) = 843*j - 17701. Calculate n(21).
2
Let y(p) = p**2 - 19*p - 11903. Calculate y(119).
-3
Let n(c) = -6*c**2 + 969*c - 1331. Calculate n(160).
109
Let s(u) = 3156*u + 9478. Give s(-3).
10
Let p(l) = 15*l**2 - 115*l - 229. Give p(-2).
61
Let l(z) = -2*z**3 + 14*z**2 - z - 10. What is l(7)?
-17
Let q(v) = -v**2 + 360*v - 29566. What is q(127)?
25
Let m(z) = 161*z**2 + 164*z + 3. Give m(-1).
0
Let k(b) = 5*b - 100. Determine k(5).
-75
Let v(u) = 192*u + 350. What is v(-2)?
-34
Let g(d) = 22*d - 10. What is g(1)?
12
Let g(q) = q**2 - 54*q + 18. What is g(54)?
18
Let f(b) = 135*b**2 - 545*b - 8. What is f(4)?
-28
Let m(x) = -x**3 + 10*x**2 - 25. Calculate m(10).
-25
Let s(n) = 109*n - 107. Determine s(1).
2
Let b(u) = -3*u**2 + 15*u + 14. Give b(-4).
-94
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
12
Suppose 2*x - 4 = 2*c, -5 = 15*c - 20*c + 2*x. What is the lowest common multiple of 27 and c?
27
Let s = -11/125 + 13441/750. Find the common denominator of 35/18 and s.
18
Let g(j) = -4*j - 2. Let s be g(-2). What is the lowest common multiple of 10 and s/(3/(-1)) - -22?
20
Let u(x) = -x - 4. Let y be u(-6). Let r = 1202 + -3554/3. Calculate the common denominator of r and (-3)/10*(-27 - y).
30
Let a = 51 + -35. What is the least common multiple of a and 10*(-3 + (3 - -1))?
80
Let d(v) = -v**2 + 5*v + 7. Let j = -164 - -179. What is the least common multiple of d(5) and j?
105
Let g = 5498445 - 76937113/14. Let s be 1 + -2 + 1 + 2939. Let l = s - g. Calculate the common denominator of 107/6 and l.
42
Let x = 6243/10 + -622. What is the common denominator of -35/8 and x?
40
Let v = -4 + 8. Suppose v*n = 2*f + 2*n + 86, 3*f = n - 137. Calculate the common denominator of f and 75/4.
4
What is the common denominator of (-8)/(-18) + (-13)/39 and -13/30?
90
Let g be (-6)/176*(-102811)/1602. Let x = 1/2937 - g. What is the common denominator of 67/18 and x?
144
Let l(m) = 3*m**3 + m**2 - 1. Suppose 0 = 4*t + 13 - 41. Let u = 1 + t. What is the smallest common multiple of u and l(1)?
24
Let f = -3/12038 - -439411/96304. Calculate the common denominator of f and 7/10.
80
Let t = -3485/1397 - 18/127. Let h(l) = l**3 - 7*l**2 + 5*l + 4. Let i be h(6). Find the common denominator of t and 0 - (8/18 + i).
99
Calculate the common denominator of ((-1)/(-3))/((-160)/2064) and 47/6.
30
Let z be 2 + 1 + -3 + 5. Let j = z - 6. What is the common denominator of (j - -4)*(-174)/216 and 11/14?
84
Let x = 80 + -56. Calculate the lowest common multiple of 33 and x.
264
Let p = 4/4233 - -41849/11288. Find the common denominator of p and 41/8.
24
Let i = -12 + 20. What is the smallest common multiple of 32 and i?
32
Let t be 4/14 - (-1350)/(-21). Let l = t - -313/5. What is the common denominator of 81/10 and l?
10
Let l(j) = -3*j**2 - 3*j + 1 + 3*j. Let c be l(-1). Calculate the common denominator of (-7)/c*(-2)/(-10) and -31/9.
90
Let m(s) = -s**2 - 6*s - 4. Suppose -86 = 3*k - 11. Let x = -3 - k. Calculate the smallest common multiple of m(-2) and x.
44
Let f be (-3188648)/(-480) - 2/(-6). Let b = -6639 + f. Find the common denominator of -57/20 and b.
20
Let d = 0 + 7. Suppose 2*t - d - 1 = 0. What is the lowest common multiple of 16 and t?
16
Suppose -3*j = 15, 16 = -l - 0*l - 2*j. Let c be 70743/2148*2/l. Let k = 190/179 + c. Calculate the common denominator of k and -19/18.
36
Let s = -4710 - -75457/16. Calculate the common denominator of s and 6/(-8) + 3152/320.
80
Suppose 6*y - 3*y = 0. Suppose 3*f + d - 2 = y, f = 4*f + 2*d - 1. What is the least common multiple of 10 and f - -2 - (2 + -1)?
10
Let g = -19425/8 - -2416. Find the common denominator of -29/2 and g.
8
Let k = 6 + 2. What is the lowest common multiple of 26 and k?
104
Let a(z) = -356*z - 2. Let t(d) = -d**3 - d**2. Let l be t(-2). Let j be a(l). Let s = -8579/6 - j. Find the common denominator of s and -97/6.
6
Suppose -2*m + 6*m - 8 = 0. Calculate the common denominator of (1/m)/((-54)/228) and 39/2.
18
Let n(s) = -s**3 - s**2 + s + 3. Let q be n(4). Calculate the common denominator of -67/6 and 1 + -4 - q/7.
42
What is the least common multiple of 30 and (-4)/(-30) + 88/15?
30
Find the common denominator of 107/20 and (-1281)/(-1260) + 10/(-6).
20
Let g(z) = z**2 + 6*z + 7. Let l be g(-5). What is the common denominator of 33/(-10)*(-22)/(-12) and 2 - (249/6 - l)?
20
Let j(c) = c + 10. Suppose 2*k + 1 = -4*r + k, r + k = -1. Suppose 5*l = -5*n + 115, 3*l - 64 = -0*l - 2*n. What is the lowest common multiple of l and j(r)?
90
Suppose 2*f + 0*o + 2*o = 26, 0 = -f + 2*o + 10. What is the lowest common multiple of f and 30?
60
Let a = 31416 + -754123/24. Find the common denominator of a and -21/10.
120
Suppose -5*b + 985 = -0*b. What is the common denominator of b/126 + 4/(-14) and -51/2?
18
Suppose -j = -3*j. Suppose 0 = 2*q - j*q - 10. Let l = 4 + q. Calculate the lowest common multiple of l and 1.
9
Let d = -1/18764376 - -4060170003575/206408136. Suppose -112721 + 34053 = -4*w. Let y = d - w. What is the common denominator of y and -23/22?
22
Let w(x) = -x**3 + 4 - 5*x - 3*x**3 - 3*x**2 + 6*x**3. Suppose 4*q + 3 = 15. Calculate the least common multiple of 4 and w(q).
16
Let s be (-2)/((-1)/16*-4). Let h = 3 - 1. What is the lowest common multiple of (3/h)/((-3)/s) and 2?
4
Let m = -188444/43967 - -2/6281. Calculate the common denominator of (-1242)/(-112) - 10/(-35) and m.
56
Let a(z) = -z**3 - 4*z**2 + 4*z - 3. Suppose -20 = 5*i - 5*v, 0 = 4*i - 4*v - v + 15. What is the lowest common multiple of 8 and a(i)?
8
What is the lowest common multiple of (-12)/(-16) + (-26)/(-8) and 12?
12
Suppose 3*m - 3*r = -0*m + 114, m - 2*r - 43 = 0. Calculate the common denominator of m and -27.
1
Suppose -h - 2*q = -8, 0*h - 4*q = -2*h. Calculate the least common multiple of 5 and h.
20
Let x be (-36)/(-9) - 29*119. Let z = 20791/6 + x. Let m = -5/674 - 18525/1348. Find the common denominator of z and m.
12
Suppose -11*u + 7*u = -88. Calculate the lowest common multiple of u and 4.
44
Let z(x) = x**2 + x + 2. Calculate the lowest common multiple of z(4) and 236.
2596
Calculate the smallest common multiple of ((-28)/12 - 3)*-3 and 4.
16
Let r = 364 + -146. Let a be r/396 - 2/4. Let m = -2054/495 - a. Find the common denominator of 40/11 and m.
55
Let z(a) = -a**3 + a + 14. Let r(u) = -u + 26. Calculate the lowest common multiple of z(0) and r(6).
140
Calculate the least common multiple of 2/8 - (-98)/56 and 9.
18
Suppose -k - 3 = -6. Calculate the common denominator of (-28)/(-21)*(-1)/k and -73/4.
36
Let f be 94/4*(9 - 29). Let u be (289/1)/((-10)/16). Let o = u - f. Find the common denominator of o and -61/4.
20
Let h = -4 + 3. Let t = 3 + h. What is the smallest common multiple of ((-8)/5)/(t/(-5)) and 16?
16
Let k(l) = l**2 - 2. Let h = -29 + 31. What is the smallest common multiple of k(2) and h?
2
Suppose -4*a - 2142 = 3282. Let d be (5001/(-8))/(12/26). Let p = d - a. What is the common denominator of p and -37/14?
112
Calculate the common denominator of (-8)/(-12) - (-175)/12 and ((-4)/(-15))/(6/(-234)).
20
Let v(n) = -n - 4. Let l(x) be the first derivative of -x**4/4 - x**3 - x**2/2 + 2*x - 1. What is the least common multiple of v(-6) and l(-4)?
22
Let w = -4388 + 61381/14. What is the common denominator of w and 1 + 11*5/(-6)?
42
Suppose 0 = -5*o - o + 228. Calculate the least common multiple of o and 22.
418
Let y = 0 - -6. Find the common denominator of 18 and y/(-30) - (-66)/80.
8
Let x(v) = -2*v - 22. What is the common denominator of -1/11 and x(12)?
11
Let w(m) = 2*m**2 + 2*m + 4. Let v be w(-3). Suppose -l + v = 3*l. What is the lowest common multiple of l and 2?
4
Let h be ((-233763)/(-298638))/(2/(-3)). Let q = h + 225/188. Let j = 27935/2118 - q. Calculate the common denominator of j and -6/7.
42
Let j = 22 - 23. Let p(g) = -16*g - 2. What is the lowest common multiple of 4 and p(j)?
28
Suppose 3*t + 20 = -7. Let l(c) = c**3 + 9*c**2 - 2*c - 12. Let v be l(t). Suppose 0 = -x + v*x - 110. Calculate the smallest common multiple of 2 and x.
22
Let d(q) = -q**3 + 5*q**2 + 7*q - 5. What is the lowest common multiple of -3*6/9 + 8 and d(6)?
6
Let a(x) = -x**3 + 13*x**2 + x - 9. Let p be a(13). Calculate the common denominator of (87/1)/(2 + 2) and (p/2)/((-40)/22).
20
Let o(a) = -a**3 + 8*a**2 - 6*a - 3. Let u(q) = 8*q - 1. Let r be u(1). What is the lowest common multiple of 6 and o(r)?
12
Find the common denominator of -32/9 and 301/12 - 2/6.
36
Let u be (-3 + (-3)/(-6))*-2. Suppose -25 = -u*x + 35. What is the lowest common multiple of x and 14?
84
Suppose -2*d = -6*d + 44. Suppose d = -5*q - 5*f + 51, -4*f = 5*q - 40. Let o(y) = -y**2 + 10*y + 6. Calculate the lowest common multiple of o(q) and 18.
198
Let o(i) = -3*i - 2. Calculate the lowest common multiple of o(-2) and 4.
4
Let m(j) be the second derivative of j**5/20 + 5*j**4/12 - j**2 + j. What is the smallest common multiple of 8 and m(-4)?
56
Suppose 4*k = g + 3*k - 10, -4*k - 4 = 0. Suppose 5*c - 13 - 2 = 0. What is the least common multiple of c and g?
9
Let u be (-2)/(-5) - (-249)/15. Suppose 4*x - x = -5*p, -p - 4*x = u.
|
{
"pile_set_name": "DM Mathematics"
}
|
for w.
-3
Solve -k - 5*y = -2, 0*k + 6 = -k + 3*y for k.
-3
Solve -3 = 3*n + 2*l, -3*n - 25*l + 22*l = 0 for n.
-3
Solve -4*k = x - 2*k + 12, -2*k = -2*x for x.
-4
Solve 5*c + 18 = 2*q, -3*c + 66*q = 63*q + 18 for c.
-2
Solve -2*b - 3 = 5*u - 18, -7*b + 37 = 2*u for b.
5
Solve 0 = 5*s + 5*a - 10, -4*a - 2 = -5*a for s.
0
Solve 0 = 4*s + z - 4, 9*s - 11*s + 2 = 5*z for s.
1
Solve -6 - 11 = -3*j + 5*r, 0 = 2*j - 4*r - 12 for j.
4
Solve 0 = 5*k - 20, k - 1 - 11 = 4*q for q.
-2
Solve -3*w + 5*y - y = -11, 4*w + y - 21 = 0 for w.
5
Solve -4*w + 17 = -s, -4*s = -13 + 17 for w.
4
Solve -3*l + 2*b + 11 = 0, -5*b = 4*l - 9 + 2 for l.
3
Solve 2*x + 12 = -i, -5*i + 6*x - 12 = 4*x for i.
-4
Solve p + 2 + 13 = 5*c, -2*c = 2*p - 18 for p.
5
Solve -5*s + 41 = 5*i + 6, 2*i = 2*s + 2 for s.
3
Solve -3*k = -5*o - 0*o + 40, 2*k - 15 = -5*o for o.
5
Solve 3*n + 4 = -5*o, -4*o - 10 = -2 for n.
2
Solve 15 - 11 = -5*y + z, -5*y = 4*z + 9 for y.
-1
Solve -4*x - 20 = -w - 7, -x = -2*w + 12 for w.
5
Solve 4*o - 3*z = 2*o - 7, -3*o + 5*z = 11 for o.
-2
Solve 0 = -4*x + 2*a + 4, -3*x + 12 = -4*a - 1 for x.
-1
Solve 2*q + 14 = -4*t, 0*t - t = -2*q + 6 for q.
1
Solve 4*g + b = -22, 2*b + 21 = -5*g + 4*b for g.
-5
Solve 5*b + 10 = -4*p - p, -3*p - 2*b - 7 = 0 for p.
-3
Solve 0 = -2*r + 2*s - 18, 5*r - s + 13 = -16 for r.
-5
Solve -d - 8 = -0*v - 5*v, -2*v + 10 = 3*d for v.
2
Solve -3*i + 5*h - 3*h + 1 = 0, 3*i - 5*h = -2 for i.
1
Solve 3*z - 3 = -3*u, 0 = -u + 6*u - z + 13 for u.
-2
Solve 3*r + 0*x = -2*x - 18, -35 = 5*r + 5*x for r.
-4
Solve -2*k = u + u - 14, 9 = 3*u for k.
4
Solve -5 = 2*o + x + 9, 5*x + 5 = 3*o for o.
-5
Solve 3*j = 3*k + 9, k = -4*j + 3*k + 4 for j.
-1
Solve 6 = -2*j, -2*k - 3*k - j = 3 for k.
0
Solve 4*q + 4*w = -36, w = 5*q + 22 - 7 for q.
-4
Solve 5*h + 2*i = 33, 5*h + 0*i - 13 = 3*i for h.
5
Solve -4*f = -3*u + 3, 73*u - 76*u + 2*f = 3 for u.
-3
Solve 34*y - 36*y - 35 = -5*t, -3*y - 3*t = 0 for y.
-5
Solve -5*z = 5*l, 26 = 5*z + 6 for l.
-4
Solve -3*t - 2*h = 2, 3*h = 3*t - 8*t - 5 for t.
-4
Solve 0 = 3*f - 4*y, 4*f + 5*y = 42 - 11 for f.
4
Solve -16 = -5*k - 0*s + 4*s, -3*k + s + 11 = 0 for k.
4
Solve -5*m + 13 = -r - 0*m, 3*r = -2*m - 5 for r.
-3
Solve -2*j - 3*t - 22 = 0, 5*t - 7 = j - 22 for j.
-5
Solve 4*b + 5*s = 23, -b - 27*s + 24*s + 11 = 0 for b.
2
Solve 9 = 2*w + 3*y, -28*w - 8 = -30*w - 2*y for w.
3
Solve 2*j + 10 = f + 17, 4*f + j - 17 = 0 for f.
3
Solve 0 = 2*l + 2, 0 = 2*g - 0*g - 4*l - 8 for g.
2
Solve 5*q - 36*w + 38*w + 12 = 0, 28 = -3*q + 4*w for q.
-4
Solve 6*s + 2*f = 2*s - 18, s = -2*f - 9 for s.
-3
Solve f - 7 = 2*h, 2*h + 10 = -4*f - 12 for h.
-5
Solve 2*j - l = 8, j + l = 5*l + 4 for j.
4
Solve -5*d + 8 = -h, 2*d - 8*h + 13 = -13*h for d.
1
Solve -n + 5*r - 23 = 0, 0 = -4*n + 5*r - 8*r for n.
-3
Solve 0 = n + 2, -5*r - 87 = -2*n - 101 for r.
2
Solve 3*d + 0*d = -g - 8, 2*g + 8 = -2*d for d.
-2
Solve 3*y + 5*s - 33 = -19, y + 2*s = 6 for y.
-2
Solve 13 = -d - 64*a + 60*a, -4*a - 18 = 2*d for d.
-5
Solve 2*t + 5*o + 20 = -3*t, 0 = -3*t + 5*o + 12 for t.
-1
Solve -2*w - r + 9 = 0, -5*w + w - 5*r + 15 = 0 for w.
5
Solve -9 = -2*l - 5*k, -15 = -l + 2*l - 4*k for l.
-3
Solve -3*w = -2*a + 18, 5*w + 5*a + 5 = -0 for w.
-4
Solve 0 = 2*a + 5*g + 8, 2*a - 5 = -a + g for a.
1
Solve s = 4*m - 4, 5*m - 18 = 6*m - 5*s for m.
2
Solve -5*x + 18 = -2*j, 83*j + 4 = 2*x + 79*j for x.
4
Solve -2*f = -c + 7, 8*c = 5*f + 7*c + 22 for f.
-5
Solve 2*d + 17 - 27 = -4*n, -4*d = n - 6 for d.
1
Solve -3*i + 4*i = 3*s + 17, -i - 3*s = 7 for i.
5
Solve -10*z = -7*z - s - 2, 5*z + 2*s = -4 for z.
0
Solve 21*h - 2*n = 16*h + 1, 3*n - 36 = -5*h for h.
3
Solve -21*z - 14 = -25*z + 2*n, -5*z + 21 = n for z.
4
Solve 5*a + 4*v + 1 + 5 = 0, 4*a + 10 = 2*v for a.
-2
Solve -3*d = 17 - 2, -2*d = -q + 8 for q.
-2
Solve -3*u = -2*w - 5, 4*w = -5*u - 0*u + 1 for u.
1
Solve 5*o + 4*b - 5 = 0, 3*o - 2*b - 3*b - 40 = 0 for o.
5
Solve -2*h = 4*q - 4, 4*h = 3*q - 0*h - 25 for q.
3
Solve -3*j + 5*j = -3*x + 8, x - j + 4 = 0 for x.
0
Solve 9 = 4*d - 5*g, g = -2*g - 3 for d.
1
Solve -4*j + 29 = 3*y, 4*y - 22 = 3*j - 5*j for y.
3
Solve -x + 17 = 3*s, -2*s + 6 = -17*x + 15*x for s.
5
Solve -5*a + 5 = 3*r + 17, -3*r + 3*a + 12 = 0 for r.
1
Solve 0 = -2*l - 2*l + 5*i + 5, 2*i = -l - 2 for l.
0
Solve 0 = 4*j - 4*k + 28, -18 = -j - 4*k - 0 for j.
-2
Solve 2*j + 3*f - 8 + 26 = 0, -5*j - 2*f = 23 for j.
-3
Solve 2*t - 18 = 4*i, 19*t + 5 = 24*t for i.
-4
Solve -25 = 5*z, -4*u + 5 = -2*z - 5 for u.
0
Solve 3*v + 86 = a + 67, -27 = -3*a + 3*v for a.
4
Solve 4*c + 9 = 15*u - 14*u, -23 = -5*u - 2*c for u.
5
Solve 12*u - 9 = 3*d + 9*u, -5*d - u = 3 for d.
-1
Solve -d + j = 3, 2*d - 4*j = -0*d - 16 for d.
2
Solve 4*z + 14 = 2*q, -6*z = -5*z + 5 for q.
-3
Solve -3*n + 2*c + 12 + 3 = 0, 0 = -3*n + 3*c + 18 for n.
3
Solve 2*a = 3*v - 4, -3*a - v = -6*v + 7 for a.
1
Solve 4*f = 12, -5*f + 3 = k - 17 for k.
5
Solve -4*p + 5 = -3*r - 6*p, p + 4 = -3*r for r.
-1
Solve -4*h + 4 = 2*o, 5*h - 7 = 5*o + 13 for o.
-2
Solve 3*l - 3*s + 4 = 1, -3 = 3*s for l.
-2
Solve 4*r + 4*c - 5*c + 12 = 0, -16 = 4*c for r.
-4
Solve 3*l + 18 = 4*v - 8, 5*v = -4*l + 17 for v.
5
Solve -3*v + 5*q - 26 = 0, -5*v - 7*q - 34 = -6*q for v.
-7
Solve 3*t = 4*b - 20, -2*t + 4*b = 10 + 6 for t.
-4
Solve 4*m - 10 = -2*f, 51*f - 4*m + 7 = 54*f for f.
-3
Solve 5*b - 4*l = 32, 2*b - 5*l - 23 = -0*l for b.
4
Solve -2*m + 15 = -3*r, 3 = r - 0*r + 2*m for r.
-3
Solve -2*g + 7 = u, 5*g - 20 = -5 for u.
1
Solve 7*n - 8*n = 2*j - 5, 3*n + 5 = -2*j for j.
5
Solve -2*d = 3*i + 25, -4*i = 2*d - 556 + 588 for i.
-7
Solve 6 = -5*x + 3*x - 2*c, 5 = -c for x.
2
Solve 5*v = -0*i + 3*i + 34, -13 = -2*v + i for v.
5
Solve -5*a - 23 = 4*f - 10, -2*a + f = 13 for a.
-5
Solve -3*b - 4*c + 17 = 0, -5*b + 10*b + 15 = 2*c for b.
-1
Solve 4*j - 3*i = 26, -4*j + 2*j + 18 = -4*i for j.
5
Solve -16*u = -14*u - 2, 2*u = n - 1 for n.
3
Solve -20 = 3*y + i, y - i + 5*i + 25 = 0 for y.
-5
Solve 2*d + 2*n = -14, -5*n = 2*d - 0*n + 23 for d.
-4
Solve 0 = d - 3*m - 4, -m - 11 = 5*d + 1 for d.
-2
Solve 2*f - 36*z = -32*z - 4, 0 = 2*f - z + 4 for f.
-2
Solve -3*n + 15 = -5*r - 1, -3*n - 2*r = -2 for n.
2
Solve 13*x = 11*x - 4, -4*x - 6 = 2*l for l.
1
Solve 2*k = 3*v + 6*k, -2*k = 2*v - 2 for v.
4
Solve 20*f - 24*f - 4*m = -4, -3*f + 3 = -5*m for f.
1
Solve q - 6 = 2*s, -4 - 12 = 3*s + 2*q for s.
-4
Solve 2 = 457*p - 459*p, 4 = 2*l + 4*p for l.
4
Solve -5*q - p = -20, -5*q + 5*p = 7*p - 15 for q.
5
Solve -3*t - r = -9, -27 = -3*t + r + 4*r for t.
4
Solve t = -z - 9, 3*z - 4*z - 19 = 3*t for z.
-4
Solve -37 = 5*i - 2*q - 12, 5 = -i + 5*q for i.
-5
Solve 0 = n + 5*g - 24, -24 = -17*n + 14*n - 3*g for n.
4
Solve -5*r - 33*m = -32*m + 24, 3*r = 3*m for r.
-4
Solve -4*m - 11 + 4 = 3*c, 4 = -m - 3*c for m.
-1
Solve 0 = 5*p - 2*x + 5, -6*x + 18 = 3*p - 3*x for p.
1
Solve 0 = -n - d + 1, 3*n = -d - 2 + 9 for n.
3
Solve 2*y - 4*k = 3*y - 23, 0 = -4*y - 3*k + 40 for y.
7
Solve 5*w + 2*o = 2*w + 11, 4*w = 3*o - 8 for w.
1
Solve 3*p - 5*r + 11 = -6, 14 = -3*p + 2*r for p.
-4
Solve -u - 3*p - 14 = 0, -22 = 3*u - 3*p + 7*p for u.
-2
Solve -5*g = 2*d - 12, 4*g - 2*d - 4 = g for g.
2
Solve 10*a - 4 = -o + 9*a, 0 = 2*o - 4*a + 22 for o.
-1
Solve -3*j - 3 = 4*m, -3*j + 15 = m - 3*m for m.
-3
Solve 5*w + 2 = 4*j - 9, 3*w - 2*j = -5 for w.
1
Solve -j - c = -2, -j - 3*c + 0 = -4 for j.
1
Solve 17*j = 22*j - q + 4, 3*j = -2*q + 8 for j.
0
Solve -35*c + 40*c + 5*z + 5 = 0, 3*c - 2*z = -3 for c.
-1
Solve -3*t + 0*j = -3*j + 3, 0 = 2*t + 5*j + 30 for t.
-5
Solve -5*h = -4*v + 19, 202*v - 199*v = -h for h.
-3
Solve -3*t - 5*x + 3*x - 10 = 0, 3*t - 4*x = -16 for t.
-4
Solve 0 = -3*k - 5*g, -11*g + 2 = 2*k - 7*g for k.
-5
Solve -y = 2*c + 4*y - 5, -3*y = -3 for c.
0
Solve -5*z + 4*h = -0*z + 20, -2*h = 0 for z.
-4
Solve 2*y - 1 = 2*r - 9, -5*r = y - 26 for y.
1
Solve k = 0, -1 = j - k - 2*k for j.
-1
Solve -12 = -2*r - 2*s, 0 = -r - 7*s + 9*s - 9 for r.
1
Solve -3*n + 106*j = 102*j - 15, -j + 25 = 5*n for n.
5
Solve -5*n + 2*v + 0*v = 12, 5*n + 4*v = -36 for n.
-4
Solve 0*n - 2*n + 5*f = -13, -5*f = -n + 9 for n.
4
Solve -4 = t - 9, x = -3*t + 19 for x.
4
Solve -6*j - 4*y = -10, -7*j = -5*j + 4*y + 2 for j.
3
Solve 2*m + 15 = -s, -3*s - 4*m = -71 + 100 for s.
1
Solve 2*u + 3*q - 5 = -17, -
|
{
"pile_set_name": "DM Mathematics"
}
|
et t be r(6). Let w be t/18 - 116/(-36). Solve -2*k - w = c for k.
-4
Suppose 0 = -5*l + 15 + 15. Solve -d - d = -l for d.
3
Let m be 32/10*(-35)/(-14). Let y = m - 5. Solve y*g = g for g.
0
Let x(h) = h + 1. Let t = -2 + 5. Let r be x(t). Solve -2*c + r*c = 0 for c.
0
Suppose -4*p - 7 = 4*w + 1, 5*p = -15. Let h = w + 1. Solve -4*k = -h*k - 2 for k.
1
Let x(k) = k**2 - 7*k - 10. Let c be x(9). Solve -3*z = -c - 1 for z.
3
Let t(k) = k**3 - 2*k**2 + 1. Suppose -11*i + 7*i + 4 = 0. Let r be t(i). Solve -y - 7 + 3 = r for y.
-4
Suppose -3*y + 2*n = -17, 3*y = 3*n + 20 + 1. Solve k - 10 = y*k for k.
-5
Suppose -4*a = -n + 6, -3*n + 24 = n - 3*a. Solve 3*d - n = d for d.
3
Suppose 4*c - 3*l - 24 = 0, -4*l = -5*c + l + 35. Suppose 2*j = -c*j + 50. Solve -2*r - j = -4*r for r.
5
Suppose 32 = 3*n + 5*c, 2*n - c + 2 = 6. Suppose 7*l = 2*l + 30. Suppose -u + n*u - l = 0. Solve -20 = 2*x + u*x for x.
-5
Suppose o - 28 = -o. Let m be 10/45 + (-34)/(-9). Suppose 2*w = -m*z + o, -5*w + 5*z + 2 = -w. Solve 0 = 5*v - w*v for v.
0
Let r be (4 - 4)*1*-1. Let y(w) = w**3 + w**2 + w + 3. Let b be y(r). Let s be 6 + -1 - (b + 0). Solve -4*u + s = -2 for u.
1
Let a = 112 + -110. Solve 0 = 2*d + a - 10 for d.
4
Let p be (-4)/7 + (-375)/(-105). Solve -5 = p*k + 2*k for k.
-1
Let j = -7 + 15. Solve n + j = -n for n.
-4
Let l be 5*(64/20)/4. Suppose 8 = 4*w + 4*m + 24, -4*w - 2*m = 8. Solve -2*d + 0*d - l = w for d.
-2
Suppose c + 2 = 0, -4*p - 4*c = p - 17. Let d(y) = -y + 9. Let z be d(p). Solve g - z = -3*g for g.
1
Let q = -1 - 3. Let k(g) = g**2 + 5. Let i be k(q). Solve 5*w + 4 = -i for w.
-5
Let d be (33/(-22))/(-2 + (-6)/(-4)). Solve 9 = -3*v + d for v.
-2
Suppose -5*v - 12 + 32 = 0. Suppose -2*s = -v*j + 16, -j + 2 = -3*s - 2. Solve j - 5 = -n for n.
1
Let z = -1 - -1. Let s = 7 + 8. Let j be 0/1 + z + s. Solve -y = 2*y + j for y.
-5
Let z(r) = r**3 + 5*r**2 - 15*r - 2. Let l be z(-7). Solve -l*w + 0 = 5 for w.
-1
Suppose -x + 4*y + 26 = 4*x, 23 = 4*x - y. Solve -18 = -3*t - x for t.
4
Suppose 0*n - 25 = -5*n - 3*g, 0 = -n - 5*g + 5. Solve -5*v - n = -25 for v.
4
Let u be ((-10)/4 - -1)*-2. Suppose p + b - 1 = -0, -u*p + 13 = -2*b. Suppose c + 4*c = p*f - 35, -5*c + 5 = f. Solve -2*v = -0*v - f for v.
5
Suppose 5*s = 35 - 10. Solve 0 = s*f - f for f.
0
Suppose 0*b = b - 2*m + 4, -2*m = -5*b + 4. Suppose -b*a = 0, i - 2*a = 3 + 3. Solve -l - i = l for l.
-3
Let l(z) = 2*z**2 + 9*z - 10. Suppose -w - 4 = 3. Let s be l(w). Solve 7*n = 2*n - s for n.
-5
Let c(r) = 7*r - 4. Let m be c(1). Let p be ((-9)/4)/(3/(-8)). Solve m*w + p - 21 = 0 for w.
5
Let g(h) = 3*h + 15. Let j be g(-4). Solve 0 = i - 2*i - j for i.
-3
Suppose 12 + 13 = 5*d + 5*m, d - m = -3. Let c = d + 2. Suppose -c*t - 3*y + 35 = -46, -2*t - 3*y + 53 = 0. Solve t = -4*h + 8 for h.
-5
Let y = 29 - 31. Let a(g) = -4*g**2 + g - 2. Let i(s) = s**2. Let p(f) = a(f) + 6*i(f). Let d be p(y). Solve d*o = -4 - 0 for o.
-1
Let m = 28 - 15. Suppose -m = -a - 5. Suppose -a*i = -4*i - 100. Solve -4*h = h - i for h.
5
Suppose -4*t - 5*c + 21 = 0, 0 = -5*t + 5*c - c + 16. Solve -3*g = -t*g for g.
0
Let p(j) = 7*j**2 - 4*j + 1 + j + 3*j + 2*j. Let z be p(-1). Solve -5*u = -z*u + 1 for u.
1
Suppose -4 - 2 = -h. Solve 7*x = 4*x + h for x.
2
Let p be (1 + -2)/(-1)*3. Solve -8*t + p*t - 5 = 0 for t.
-1
Let l be (-2)/4*-6 + 19 + -5. Solve -20 + l = o for o.
-3
Suppose 4*m = 3*a + 4, 2*m + 4 = 6*m. Suppose -4*q + 313 + 59 = 4*t, -3*t + 2*q = -289. Suppose 0 = -5*l - 0*l + t. Solve 5*j - 6 - l = a for j.
5
Let s be 0 - ((-4 - -8) + -10). Solve x = -3 + s for x.
3
Let x(y) be the third derivative of y**7/5040 - y**6/180 - y**5/60 + 2*y**2. Let i(r) be the third derivative of x(r). Let s be i(6). Solve v - s*v = -3 for v.
3
Suppose 11 = 3*t + 2*x - x, 2*t - 2*x - 10 = 0. Solve 4 = -t*c - 12 for c.
-4
Suppose 29*c = 33*c - 12. Solve 4*g - c - 9 = 0 for g.
3
Let u(k) = k + 6. Let w be u(5). Let g = w - 7. Solve 3*m = 19 - g for m.
5
Suppose 0 = 3*k + 2*k - 15. Solve 0 = -k*x - 2*x + 20 for x.
4
Let z be (-15)/(-6) - 3/6. Solve -5*k = -z + 27 for k.
-5
Let c(f) = 2*f**2 - 6*f + 6. Let r be c(2). Solve r = 2*z - 2 for z.
2
Let z be 3*-1 - 36/(-4). Suppose g + 10 = z*g. Solve g*p = 6*p + 4 for p.
-1
Suppose -4*l = 46 + 10. Let t = l - -22. Let s be -1 - (-2 + (1 - 2)). Solve -s*z = -t + 4 for z.
2
Suppose 3*o = 3 + 6. Suppose o*i + 7 - 37 = 0. Suppose -n + p = -3*n + 6, 2*n + 3*p - 2 = 0. Solve h - i = -n*h for h.
2
Suppose 3 = -2*j + 4*s + 27, 4*j - s - 27 = 0. Let x = -3 + 5. Let r be 232/j + x/(-3). Solve r = -5*u + 13 for u.
-5
Suppose -l = l + 2. Let m(g) = 2*g**2 - g. Let a be m(l). Solve -2*u - a*u = 0 for u.
0
Suppose 3*u = 9, o + u + 4 = 3*u. Solve -o*r + 6 - 14 = 0 for r.
-4
Let s be (-2 - 0)*9/18. Let h(p) = -p**3 - 1. Let y be h(s). Solve -2*r + 6 + 0 = y for r.
3
Suppose 3*z + 4*z + 4*z = 0. Solve 0*r + 3*r = z for r.
0
Suppose 3*j - 6 = -o, -2*j - 1 = -5. Solve o*p - 4*p - 16 = 0 for p.
-4
Suppose -3*p - p + 4 = x, 3*x = -4*p + 4. Solve -5*t + 15 = -x*t for t.
3
Let i = -12 + 32. Solve -i + 0 = -5*c for c.
4
Let z(o) = o + 4. Suppose 0 = 3*b - s + 1 + 3, -5*b + 5*s = 20. Let d be z(b). Suppose 11 = j + 2*u, 5*j = 9*j - 4*u - 8. Solve -j*i + 3*i = d for i.
-2
Let s = 24 - 35. Let y(f) = -16*f**2 - 2*f - 1. Let i be y(-1). Let n = s - i. Solve 0*k = n*k - 20 for k.
5
Let v = 7 + -6. Solve -2*x + v = -1 for x.
1
Let u be (-1 + -1 - 0)*-5. Suppose 2*o - 4*o + u = 0. Solve -s - 8 = -o*s for s.
2
Let b be (-6)/4 - 61/(-2). Suppose 0 = 3*h - 2*f - 43, -b = -8*h + 4*h - 3*f. Solve -1 = -5*k - h for k.
-2
Let h(r) = 2*r**2 + 10*r + 12. Let z be h(-3). Solve z = 4*c - 7*c - 3 for c.
-1
Suppose 5*r + 13 = 3*n - 40, -3*n = 5*r - 73. Suppose -3*l + f = -n, -4*f + 2*f = -2*l + 14. Solve -2*o - l - 3 = 0 for o.
-5
Suppose 4*p = -m - 13, -2*m - 5*p - 14 = -0*m. Suppose j = -j + 3*t + 4, 0 = j + m*t - 11. Solve 8 = -j*o + 3*o for o.
-4
Let o(w) = w**2 + 5. Let k be o(0). Suppose 5 = -5*x - k. Let s be (8 + -12)*(1 + x). Solve s - 14 = 2*h for h.
-5
Let y(q) = -2*q**2 - 36*q + 43. Let t be y(-19). Solve -3*h + 4*h - t = 0 for h.
5
Let a be 0*(5 + -5 - (0 - -1)). Let g = 2 + 0. Suppose -p + 3*p - 2 = 0. Solve m + g - p = a for m.
-1
Suppose -3*h - 2*h + 5 = 0. Let y = 3 + h. Solve 18 = -y*n + 2 for n.
-4
Suppose j + 15 = 6*j. Suppose j*i = k - 8, 0 = 4*k - 2*k + i - 9. Let y = 6 - k. Solve d + 3 = y for d.
-2
Suppose -l - 4*l = -25. Solve 0*p + p = -l for p.
-5
Let s = 21 + -17. Solve d + s = 3*d for d.
2
Let s(t) = 3*t - 3. Let n be s(2). Solve -n*a + 2 = -7 for a.
3
Suppose -q - 2*i = 2*i - 17, -5*i = 4*q - 24. Solve q = p - 4 for p.
5
Suppose -6*u + 41 + 49 = 0. Solve r = -2*r - u for r.
-5
Let j(p) = -p**3 + 5*p**2 + p - 6. Let v be j(5). Let k be v/4 - (-218)/8. Solve -5*c = 7 - k for c.
4
Let b(y) be the third derivative of 0 + 0*y + 1/2*y**3 - 1/8*y**4 + 2*y**2. Let c be b(-4). Solve 4*d + d = -c for d.
-3
Suppose q - 1 = 2*d, -12 = -6*q + q + 3*d. Solve q*z + 2 = -1 for z.
-1
Let t(v) = -v**3 - 2*v**2 + 1. Let j be (-2)/(-10) + 230/(-25). Let n = 8 + j. Let f be t(n). Solve f*c = c for c.
0
Let u be (-56)/24*-1*3. Let n = u + -7. Solve 4*z + 0*z + 12 = n for z.
-3
Let u be (4 - -1) + 2 - 3. Solve -u - 2 = 3*r for r.
-2
Let r = 13 + -5. Let p(i) = 5*i**3 - 2*i**2 + 1. Let z be p(-1). Let d = z + r. Solve -2*x - 16 = d*x for x.
-4
Let w be -2 - (-105)/25 - 2/10. Solve 0 = w*g + 2*g + 4 for g.
-1
Let b(r) be the first derivative of 5*r**2/2 - 5*r + 3. Let t be b(5). Suppose -6*l + l = -t. Solve 0 = -3*c - 5 - l for c.
-3
Let l = 22 - 14. Solve 7 = -5*d - l for d.
-3
Let u = -1 + 2. Suppose x - 1 - u = 0. Solve -5 + x = b for b.
-3
Let t = -10 + 15. Let f = -26 + 31. Solve -t*u + 0 = -f for u.
1
Let g(z) = 2*z**2 - 8*z + 11. Let a be g(4). Suppose 0 = -0*u - 4*u + 36. Solve 0 = -5*r - a - u for r.
-4
Suppose 3*f - 4*f + 6 = -a, 0 = -2*f + 5*a + 21. Suppose f*z - 10 = -0*w - 5*w, 3*w - 2*z = 25. Solve 0 = -w*k - 18 - 7 for k.
-5
Let n be (-2 - -1) + -1 + -5. Let j(b) = -b**3 - 8*b**2 - 8*b - 5. Let f be j(n). Solve -f*k - 6 = -0*k for k.
-3
Let t = 22 + -16. Suppose -3*b + 3*c - 57 = 0, -46 = 4*b + 2*c - 0*c. Let y be (-16)/(-7) + 4/b. Solve 4*m = y + t for m.
2
Suppose -b = q - 4, 4*b = -2*q - 1 + 19. Suppose 4*m = b + 3. S
|
{
"pile_set_name": "DM Mathematics"
}
|
reasing order.
0.1, -0.2, -3, -7
Put -41, -3, -25 in decreasing order.
-3, -25, -41
Sort 4, 16, 1, 5.
1, 4, 5, 16
Sort -3, 10, 5, 9.
-3, 5, 9, 10
Sort 4, -5, 13, 0.
-5, 0, 4, 13
Put 0, 0.1, -11 in decreasing order.
0.1, 0, -11
Put -2/9, 2, 0.3 in decreasing order.
2, 0.3, -2/9
Put -32, -3, -127, -5 in decreasing order.
-3, -5, -32, -127
Put -4, 0.6, -0.2, -5 in increasing order.
-5, -4, -0.2, 0.6
Put 17, 1/3, 2/3, 3, 1 in ascending order.
1/3, 2/3, 1, 3, 17
Sort 2/19, 3, 4, -1 in increasing order.
-1, 2/19, 3, 4
Sort 1/2, 0, 36, 1 in decreasing order.
36, 1, 1/2, 0
Put -0.5, 4/3, -3169 in ascending order.
-3169, -0.5, 4/3
Put -3, 5, -26, -4 in decreasing order.
5, -3, -4, -26
Put -2, 4, -14, -1, 1 in increasing order.
-14, -2, -1, 1, 4
Put -1/2, -1/6, -29 in ascending order.
-29, -1/2, -1/6
Sort 68, -3, 0, -1.
-3, -1, 0, 68
Sort -5, 1, 133, 0 in decreasing order.
133, 1, 0, -5
Sort 1, 4, 3, 12, -1.
-1, 1, 3, 4, 12
Sort 0.57, -2, -0.3, -1/5 in descending order.
0.57, -1/5, -0.3, -2
Sort 5, -17, 0, 1.
-17, 0, 1, 5
Put 1, -1/14, 8 in ascending order.
-1/14, 1, 8
Sort 3, 8, 5, 0 in increasing order.
0, 3, 5, 8
Put -0.73, 29, 0.3 in decreasing order.
29, 0.3, -0.73
Sort 14, 2, -1/3, -1, -3 in increasing order.
-3, -1, -1/3, 2, 14
Sort 19/3, -4, -1 in descending order.
19/3, -1, -4
Sort -7, 5, -3, 3 in ascending order.
-7, -3, 3, 5
Sort 1, 63, -16, 4 in descending order.
63, 4, 1, -16
Sort 22, 5, 1 in increasing order.
1, 5, 22
Put 5, -5, 35.69, 1/4 in increasing order.
-5, 1/4, 5, 35.69
Put 8/13, 1/3, 16 in increasing order.
1/3, 8/13, 16
Sort -1033, -1, -2 in increasing order.
-1033, -2, -1
Put 14, 1, -8 in decreasing order.
14, 1, -8
Put -2/7, -4, 0.628 in ascending order.
-4, -2/7, 0.628
Put -2, 4, 2, 96 in ascending order.
-2, 2, 4, 96
Sort 5, 6, -2.
-2, 5, 6
Sort -2, 0, 0.2, 1/2 in decreasing order.
1/2, 0.2, 0, -2
Put -0.3, -0.2, 13, 0.5, 0.02 in descending order.
13, 0.5, 0.02, -0.2, -0.3
Sort -1/43, -0.4, -19, -1/7.
-19, -0.4, -1/7, -1/43
Sort 2/23, -1, 5/4, 3/17, 0.2 in decreasing order.
5/4, 0.2, 3/17, 2/23, -1
Sort 2, 1, -17, 3 in decreasing order.
3, 2, 1, -17
Put 1/9, -32, 0.5, -1 in ascending order.
-32, -1, 1/9, 0.5
Sort -0.2, 2/147, -4/5 in descending order.
2/147, -0.2, -4/5
Put 0, 5, 4, -6, 2 in increasing order.
-6, 0, 2, 4, 5
Put -1, 31, 238 in decreasing order.
238, 31, -1
Sort 2, -4, 7, -2 in ascending order.
-4, -2, 2, 7
Put -125, 2, 0 in ascending order.
-125, 0, 2
Sort 3, -14, 2, 53, -1.
-14, -1, 2, 3, 53
Sort -0.1, 4, 0.0723 in descending order.
4, 0.0723, -0.1
Sort 1, 0.4, -1/7, -20 in decreasing order.
1, 0.4, -1/7, -20
Put 0, 96, 3, -5 in increasing order.
-5, 0, 3, 96
Sort 163, 1, -5 in ascending order.
-5, 1, 163
Put 64, 5, 1, -1, -4 in increasing order.
-4, -1, 1, 5, 64
Put 0.5, 0.08, 3, 2, -5 in decreasing order.
3, 2, 0.5, 0.08, -5
Sort -1, -3, -73, 2, -5 in ascending order.
-73, -5, -3, -1, 2
Put 5, -1, -60 in decreasing order.
5, -1, -60
Sort -2, -0.06, -1, 1/5 in descending order.
1/5, -0.06, -1, -2
Sort 5, -4, -1, 1 in descending order.
5, 1, -1, -4
Sort -3, -4, 3 in ascending order.
-4, -3, 3
Put -15, -0.1, -1, -2 in descending order.
-0.1, -1, -2, -15
Put 155, 4, -4, -3 in ascending order.
-4, -3, 4, 155
Put -1, 7, -15, -3 in descending order.
7, -1, -3, -15
Sort 0, -5, 47, -3, -4 in descending order.
47, 0, -3, -4, -5
Sort 7, 8, 4 in decreasing order.
8, 7, 4
Put 3, 1, -33 in ascending order.
-33, 1, 3
Sort -0.12, 0.2, 0, -3.
-3, -0.12, 0, 0.2
Sort -2, 0, 414 in descending order.
414, 0, -2
Sort 0.4, -33, 3 in increasing order.
-33, 0.4, 3
Put 14, 1, 28 in descending order.
28, 14, 1
Sort -1, -3, 5 in increasing order.
-3, -1, 5
Sort -4/7, 0.8, -17 in descending order.
0.8, -4/7, -17
Put 0.4, 42/13, -5, -1/2 in decreasing order.
42/13, 0.4, -1/2, -5
Put -1, 5, -93 in increasing order.
-93, -1, 5
Sort -1, -5, -2, 52.
-5, -2, -1, 52
Sort -4, -1, 0, 23, 6 in ascending order.
-4, -1, 0, 6, 23
Put 3, 5/8, -0.2, -6, 0.1 in descending order.
3, 5/8, 0.1, -0.2, -6
Put 0.5, -6, 1/3, -0.5, -2 in increasing order.
-6, -2, -0.5, 1/3, 0.5
Sort -151, 5, 0, -3, 0.2 in descending order.
5, 0.2, 0, -3, -151
Sort 12, -3/5, -5 in decreasing order.
12, -3/5, -5
Put -3, 4065, 0 in decreasing order.
4065, 0, -3
Sort 1, 31, -2, -4.
-4, -2, 1, 31
Put -18, 3, -2 in descending order.
3, -2, -18
Put 2/13, 7, -8 in increasing order.
-8, 2/13, 7
Sort 1/5, 4, -235.8.
-235.8, 1/5, 4
Sort 0, -3, 55 in increasing order.
-3, 0, 55
Put 0, -0.4, -96/5 in ascending order.
-96/5, -0.4, 0
Put 3, -5, -3, -196 in decreasing order.
3, -3, -5, -196
Sort -3, 1/6, 30, -0.2, -4 in decreasing order.
30, 1/6, -0.2, -3, -4
Put 85, -14, 0 in decreasing order.
85, 0, -14
Put 3, -1, -43, 0, -5 in increasing order.
-43, -5, -1, 0, 3
Sort 5, 0, 14.
0, 5, 14
Put -1, -2, 0.1, -3 in decreasing order.
0.1, -1, -2, -3
Put 3, 11, 5, -2 in increasing order.
-2, 3, 5, 11
Put -1, -305, -3, 0.4, 0.2 in descending order.
0.4, 0.2, -1, -3, -305
Put 4/9, 7/6, -5 in increasing order.
-5, 4/9, 7/6
Sort 103, -0.3, 0.4, -1/5.
-0.3, -1/5, 0.4, 103
Put 12, 2, -3, -5 in decreasing order.
12, 2, -3, -5
Sort 66, -2, 5, 2.
-2, 2, 5, 66
Sort 3, 4, -159 in ascending order.
-159, 3, 4
Sort 3, 8, -20, -4 in ascending order.
-20, -4, 3, 8
Sort -0.02, 5, 2/15, 0.3.
-0.02, 2/15, 0.3, 5
Sort -2, -4, 0 in decreasing order.
0, -2, -4
Sort -0.2, 276, -5 in increasing order.
-5, -0.2, 276
Put 2/123, -2/9, -3 in ascending order.
-3, -2/9, 2/123
Put 5, 0.1, 51/13, -1, -0.3 in descending order.
5, 51/13, 0.1, -0.3, -1
Sort 6, -1, -5.
-5, -1, 6
Sort -3, 43, -0.04.
-3, -0.04, 43
Put 14, 2, -2, 0 in increasing order.
-2, 0, 2, 14
Sort -197, 2/11, 0.
-197, 0, 2/11
Sort 6, -3, -18/11 in increasing order.
-3, -18/11, 6
Put 1/4, 0.03, 5 in decreasing order.
5, 1/4, 0.03
Put -236, 4, 3 in descending order.
4, 3, -236
Put 6, 1, 5, 3 in increasing order.
1, 3, 5, 6
Put -6, 0, -11 in ascending order.
-11, -6, 0
Sort 73, 1, 3 in decreasing order.
73, 3, 1
Put 119, 3, -32 in increasing order.
-32, 3, 119
Put 15, 4, 3, 6 in decreasing order.
15, 6, 4, 3
Put 378, -1, 4/5 in descending order.
378, 4/5, -1
Sort 5, -44, 3 in decreasing order.
5, 3, -44
Sort 2, -3, -20 in ascending order.
-20, -3, 2
Sort -3, 5, 2, 1 in decreasing order.
5, 2, 1, -3
Sort 90, 5, -4 in decreasing order.
90, 5, -4
Sort -8, -5, -7, -3.
-8, -7, -5, -3
Put 3/8, 3, 73, -0.1 in increasing order.
-0.1, 3/8, 3, 73
Put -2/7, 73, 0.2, 5, 4 in increasing order.
-2/7, 0.2, 4, 5, 73
Sort -1/4, -11, 3.
-11, -1/4, 3
Sort 1, -10, 4.
-10, 1, 4
Sort 0.3, -2, -1.4, 0 in descending order.
0.3, 0, -1.4, -2
Sort 392, 3, 3/4 in decreasing order.
392, 3, 3/4
Put 18, -1, -4 in decreasing order.
18, -1, -4
Put 2, -37, -0.3, -172 in descending order.
2, -0.3, -37, -172
Sort 5, 4/7, 2/17, 0.5.
2/17, 0.5, 4/7, 5
Sort -12, 0.4, -1, -0.5, 2/11 in decreasing order.
0.4, 2/11, -0.5, -1, -12
Sort 3/7, -2/11, 4, -59 in descending order.
4, 3/7, -2/11, -59
Sort -21, -0.2, 1/58 in increasing order.
-21, -0.2, 1/58
Sort -0.3, -2/21, -11/5, -2, 3 in decreasing order.
3, -2/21, -0.3, -2, -11/5
Put 3, -219, 11 in decreasing order.
11, 3, -219
Sort 3, 83, 8, -4 in decreasing order.
83, 8, 3, -4
Put 3, -2, 739, 0, 4 in decreasing order.
739, 4, 3, 0, -2
Put 1, -5, 2, 0 in decreasing order.
2, 1, 0, -5
Sort 2/1345, 2/11, 2/17, 1 in decreasing order.
1, 2/11, 2/17, 2/1345
Put 0.3, -6, 1/3, -0.5 in descending order.
1/3, 0.3, -0.5, -6
Put 34, 3, -3 in descending order.
34, 3, -3
Sort 11, -5, -4 in descending order.
11, -4, -5
Sort 5, -3, 1, 3, 4 in ascending order.
-3, 1, 3, 4, 5
Sort 17, -14, -1 in decreasing order.
17, -1, -14
Sort -8, 10, 0.6 in decreasing order.
10, 0.6, -8
Sort -5, 0.3, 2/7, -475, 2.
-475, -5, 2/7, 0.3, 2
Sort 0, 21, 102.
0, 21, 102
Sort 3, -1, 8 in decreasing order.
8, 3, -1
Sort 3, 101, 4 in descending order.
101, 4, 3
Put 10/7, 0.1, 0.01 in ascending order.
0.01, 0.1, 10/7
Sort -5, 161, 4 in descending order.
161, 4, -5
Sort 0, 3, 18, -5.
-5, 0, 3, 18
Sort 0.5, -4, 3/8 in decreasing order.
0.5, 3/8, -4
Sort -2/13, 0, -0.3, -20 in increasing order.
-20, -0.3, -2/13, 0
Put 2, -0.4, 4 in descending order.
4, 2, -0.4
Sort 5, -3, 12, 2 in decreasing order.
12, 5, 2, -3
Put -1, 278, -0.3 in decreasing order.
278, -0.3, -1
Put -2/7, 1, -193 in decreasing orde
|
{
"pile_set_name": "DM Mathematics"
}
|
-2.29. Let x = j + 100. What is the nearest to -1/5 in x, -2/7, 0.5?
-2/7
Let d = -0.36021 + 0.26021. Let n be (-1 + 11/9)*3. Which is the nearest to n? (a) 0 (b) d (c) -5/6
a
Let q = 0.83 - 0.74. Let n = -0.17 + q. Let o = 2 + -2.1. Which is the closest to o? (a) 3 (b) n (c) 0
b
Let g(t) = t + 2. Suppose -8 = -2*x + 2*i - 0, -4 = -4*x + i. Let w be g(x). Let l = 0.3019 + -0.1019. Which is the nearest to 2/5? (a) -5/2 (b) w (c) l
c
Let f = -0.049 + 0.429. Let y = f + 3.62. Suppose 0 = 2*p - p - 8. Which is the nearest to 2? (a) -2/3 (b) y (c) p
b
Let w = 24.48 + -19.48. What is the nearest to -3 in w, 4, 26, -3?
-3
Let b be ((-1)/(-9))/(40/(-912)) - 2/3. What is the nearest to -47 in 0.1, -2, b?
b
Let w be (7 - 364/(-39)) + -17. Suppose -4*d = 1 + 3. Let k = -0.1 - -0.3. Which is the closest to 0? (a) k (b) w (c) d
a
Let p = -1 - -3/5. Suppose 3*s = 3*w + 51, -w - 7992 = -3*s - 7969. What is the closest to p in 0.4, -2/7, 5, s?
-2/7
Let w = -0.02028 - 6257.97972. Let p = w + 6254.981. Let z = -0.019 - p. Which is the closest to -2? (a) -5 (b) z (c) 5
a
Let l be 4/(-14) + (-660)/(-252). Let k be ((-3)/2)/((-138)/3473). Let z = k - 37. Which is the nearest to l? (a) -3 (b) z (c) -4
b
Let s = 1978 + -1983. What is the closest to s in 72, 5, 2/5?
2/5
Let a(r) = 2*r**3 - 8*r**2 - 5*r + 35. Let w be a(3). What is the closest to 0.1 in 1.09, -0.1, w?
-0.1
Let f = -1.88 + 2.04. Let c = f - 18.16. Let w = 1/162 - -317/1134. What is the closest to c in 5, w, 2?
w
Let v be 15/(-45) - -11 - 11. Which is the nearest to 4? (a) v (b) -2/11 (c) 0 (d) 4
d
Let w = -29 - -7. Let i be w/6 + 7/(-21). Let a be 9/(-6)*((-64)/20)/8. What is the closest to 0.2 in a, 0, i?
0
Suppose -m + 0*x = -2*x + 9, -2*x + 29 = -5*m. Let i be -3*((-20)/6 + m + 8). Let d = -3.9 - 1.1. Which is the closest to i? (a) d (b) 0 (c) -1/5
b
Let r = -2.8 + 2.9. Let u be (-1)/(-4) + (-57)/(-950)*(-220)/(-24). What is the closest to 0 in r, -0.4, 5, u?
r
Let q = 127 - 126.99. Let h = -0.524 - 0.476. What is the nearest to h in 0.2, -2/5, q, -2/7?
-2/5
Let g = -7 - -7.1. Let l = 5708/10505 - -2/955. What is the nearest to g in l, 0.5, 5/4?
0.5
Let f = 9697 + -9696. What is the closest to f in 183/4, 0, -5/4?
0
Let r = 9.11 + -10. Let j = r - -3.89. Let n = -4/3 - -1. Which is the nearest to j? (a) n (b) 5 (c) -0.4
b
Let r = 26 - 24.1. Let m = 2 - r. Let o = -17.65 + 13.65. Which is the nearest to m? (a) o (b) -10 (c) -3
c
Let u = -11.065 - -11.065. Let f = -0.06 + 1.96. Let v = f + -2. What is the closest to v in u, -1, -0.5?
u
Suppose -1034 = 7*v - 250. Let q be (2 - 34/24)*32/v. What is the closest to -1 in 3/5, q, -8?
q
Let l = -37.95 - -39.95. Which is the nearest to 2/7? (a) -2/3 (b) l (c) 17 (d) -5
a
Let j = 6 + -5.6. Let d(x) = x**3 + 2*x + 15. Let o be d(0). Suppose 2*p + o - 11 = 0. Which is the closest to -1/4? (a) p (b) j (c) -2/5
c
Let b = 75552/264481 - -2/37783. What is the closest to b in -1/2, -9/4, -8?
-1/2
Let u = -0.43 + 1.13. Let n = 0.29 - u. Let m = n - -3.41. Which is the closest to 0.1? (a) 2/9 (b) m (c) -1/10
a
Let j = -4094 - -4090. What is the nearest to -0.6 in -2/11, 3, j?
-2/11
Let f = -3192 - -3193. Which is the nearest to f? (a) 2 (b) -1/10 (c) -7.4
a
Let p = 280.83 + -280.73. Which is the nearest to p? (a) -2 (b) 0.196 (c) -0.1 (d) -0.5
b
Let p(w) = -w**2 + 4*w + 3. Let b be p(4). Let a = -0.106 + 0.0617. Let y = 0.2443 + a. What is the closest to y in -2/3, b, 1/3?
1/3
Let d be -4*(-1 + 62/56). Let s = 925965 + -925968. Which is the nearest to 2? (a) 1/9 (b) d (c) s
a
Let n = -0.46 + 7.06. Let q = n - 1.6. Let z = 0.38 - 0.58. What is the nearest to z in -1, 2, q?
-1
Let u = -774 - -773.5. Let f = 0.029 + -5.029. What is the nearest to -2/7 in u, -0.4, f?
-0.4
Let f = 3222 - 3221.7. Let k = -1.47 + -1.6. Let d = k - -0.07. What is the nearest to -1 in 3/2, d, f?
f
Let b = 1/731157 - 1462333/13891983. Suppose -3 + 2 = -m. What is the closest to m in b, -1, 4/5?
4/5
Let g(j) = -2*j + 131. Let u be g(64). Which is the nearest to -0.02? (a) 4 (b) u (c) -3/8
c
Let d = -261 - -256. Let x = -12.24 + -0.76. Which is the nearest to x? (a) -3 (b) 3 (c) d
c
Let y be 1/14 - 1/2. Let o = -2775.2 + 2169. Let v = o + 606. Which is the closest to -2/3? (a) v (b) y (c) -2/13
b
Let t = -825.2 + 982. Let j = -157 + t. Which is the nearest to 0.05? (a) 2 (b) j (c) 5
b
Let x be (-915)/(-35) - 364/14. Let q = -159/5 - -621/20. What is the nearest to x in 2/7, -0.4, q?
2/7
Let b(a) = 28*a - 2. Let y be b(-2). Let v = -231/4 - y. Let r(m) = -7*m + 19. Let q be r(3). What is the nearest to q in v, 1/3, -1?
-1
Let m(s) = s**3 - 13*s**2 + 19*s - 7. Let h be m(4). Which is the closest to h? (a) -4/7 (b) 5 (c) -2/5
a
Let q = 3811 + -3811.1. Which is the nearest to 0? (a) -1 (b) -42 (c) -3 (d) q
d
Let u = -1765 - -1764.6. Let z be 2/9*(-2 + 8). Which is the closest to 1? (a) u (b) z (c) 3
b
Let h be (-5)/60 + (-2345)/804. Which is the closest to -3? (a) 0.2 (b) -35 (c) h (d) -1
c
Suppose -33*t + 56*t = -26*t. Suppose 0*z + 3*z + 25 = 4*o, 0 = -2*o - 2*z + 2. Suppose o*h = h + s, -2*s = 0. What is the closest to h in -1/4, t, -3?
t
Let p = 2.262 + -1.962. Which is the nearest to 2/3? (a) p (b) -13 (c) 3/22
a
Let d(u) = 10 - 19 + 33 - 14*u + 29 + 13. Let r be d(5). Suppose 0 = -2*s - 2*s - 4. Which is the nearest to 1/4? (a) s (b) 1/8 (c) r
b
Let i = -14.481 + 25.881. Which is the nearest to i? (a) 5/4 (b) -1 (c) 2/13 (d) -1/6
a
Let l(f) = 3*f**2 - f + 2. Let x be l(1). Let i = -301.1 - -322.07. Let b = i + 0.03. What is the nearest to b in 3/8, x, 5?
5
Let f = -3.8 + 45.8. Let r = f + -42.1. Which is the closest to -1/7? (a) -3 (b) r (c) -1
b
Let k = 33622 + -33623. Let i = -0.11 - -0.13. Which is the closest to i? (a) -0.3 (b) k (c) -0.19
c
Let u = -7608 + 7607. Which is the nearest to -2? (a) u (b) 38 (c) 1/5
a
Let w be -2 + 1/4 + (-6)/(-3). Suppose -3*l + 1 = -4*l. Let p = -3 + 3. Which is the nearest to p? (a) 3 (b) w (c) l
b
Let j be (-3 - -5)/(5/1). Which is the nearest to -2/3? (a) j (b) 1/7 (c) 1 (d) 2
b
Let k = 0.76 + -1.91. Let l = 3.15 + k. What is the closest to l in -3/2, 0.02, 0?
0.02
Let y = 61 + -62. Let n be (y/3)/(6 - (-65)/(-10)). Which is the nearest to 1/4? (a) -3 (b) -4/11 (c) n
c
Let p = -1.11048 - -1.01048. Let f = -0.01 - 1.49. Let v = 0.5 - f. Which is the closest to -0.04? (a) p (b) v (c) 5
a
Let s be ((-10)/25)/((-16)/10). Let z = 1028927603/1128 + -912170. Let i = z - -2/141. Which is the nearest to s? (a) 0 (b) i (c) 0.4
c
Let m = 38338 - 306705/8. Let u = -4 - -4.03. What is the closest to 0 in -0.5, m, u?
u
Let i = -10247 + 10241. Which is the closest to -0.1? (a) -4 (b) i (c) -3 (d) 2/19
d
Suppose 2*j - 6*x + 13 = -3*x, -4*j + 3*x = 41. Let z = -131 - -132. Which is the closest to j? (a) 0 (b) -2 (c) z
b
Suppose c = 3*n + 2967, 5*c - 54 = -24. What is the nearest to n in 0.2, 1/9, -1?
-1
Let l = -19017/4 - -4756. Which is the closest to 1? (a) -5 (b) -0.7 (c) 0.3 (d) l
c
Let m = 1.88 + -1.3. Let d = 4.42 + m. What is the nearest to -1 in 2, 0.2, d?
0.2
Suppose 3*t + 5*x - 17 = 0, -4*t + t - 19 = -4*x. Suppose -41 = -g - 42. Let y = 247 - 246.5. Which is the nearest to g? (a) 0 (b) t (c) y
b
Suppose -12 + 584 = 143*z. Which is the nearest to 10/13? (a) -3 (b) z (c) 2
c
Let q(j) = -j**3 - 14*j**2 - 43*j - 111. Let l be q(-11). What is the nearest to -0.2 in -0.3, -2.46, 2/3, l?
-0.3
Let w = 11040 + -11039. What is the nearest to 49 in -3, 1/7, -2, w?
w
Let g = -1/1015 + 6107/17255. Let k = -24.55 + 24.45. Which is the closest to k? (a) g (b) 3 (c) -5
a
Let g = 69329/112 + -619. Let h = g + -235/1232. Suppose 0 = -69*f - 27*f + 864. What is the closest to f in -2, h, -0.5?
h
Suppose 0 = 5*d + 5*g + 60, 3*d - 2*g - 38 + 34 = 0. Let w be 0 - 1/((-5)/(-2)). Which is the closest to 0.1? (a) w (b) -7 (c) d
a
Let c be 2561/169 - (-4)/(-26). Suppose -3*d = -c + 30. Let o = d - -6. What is the nearest to o in -16, -0.2, -2/7?
-0.2
Let m = 107.83 + 0.17. Let o = m + -107.8. What is the closest to 1 in -7, o, -2, 0?
o
Let t = -50.469 - -0.269. Let j = t + 50.7. Which is the nearest to -3? (a) 3 (b) 2/3 (c) j (d) -2
d
Let i = 5
|
{
"pile_set_name": "DM Mathematics"
}
|
1111000120212?
-1111000120202
In base 2, what is -11111101001 - -1011?
-11111011110
In base 15, what is -59 - 204?
-25d
In base 10, what is 240 - -4043?
4283
In base 11, what is 50 + -9578?
-9528
In base 11, what is 1141105 + -1?
1141104
In base 11, what is 5 + -33791a?
-337915
In base 2, what is -1001000101101101000000 - 101?
-1001000101101101000101
In base 14, what is 16887 - -b?
16894
In base 4, what is 3 + -110323?
-110320
In base 11, what is 731 - -6?
737
In base 14, what is -2 - 5ca?
-5cc
In base 16, what is -1203ec - 4?
-1203f0
In base 8, what is -4 - -4045?
4041
In base 12, what is -4a51 + -5?
-4a56
In base 15, what is -1e5b4 - 19?
-1e5cd
In base 3, what is 10010221100000 - 10?
10010221022220
In base 2, what is 1 - -10000100001101010?
10000100001101011
In base 7, what is -34 - -433?
366
In base 7, what is -1464346 - -2?
-1464344
In base 4, what is -1132210332 + 0?
-1132210332
In base 10, what is -80 - -955?
875
In base 16, what is 2 - -6a9a?
6a9c
In base 12, what is 1 + 640?
641
In base 12, what is -2b - -a8a5?
a876
In base 6, what is -115 - 20304?
-20423
In base 2, what is 0 - -101001101110001110100?
101001101110001110100
In base 8, what is 1 - -37403?
37404
In base 6, what is 2535 + 101244?
104223
In base 10, what is -1 - 15057?
-15058
In base 12, what is -8a03 + 3?
-8a00
In base 14, what is -4 - -12711c?
127118
In base 5, what is -14312 - 0?
-14312
In base 16, what is 3f1 + b?
3fc
In base 13, what is a64ac - 2?
a64aa
In base 4, what is 10 + -11313302?
-11313232
In base 7, what is 13414 + 24?
13441
In base 5, what is -4031 + -1112?
-10143
In base 10, what is -2846 + -642?
-3488
In base 5, what is -43 - 3143?
-3241
In base 4, what is 333 - -3200?
10133
In base 8, what is 27 - 243?
-214
In base 14, what is -9 + -1cd2b?
-1cd36
In base 8, what is -176 + -33130?
-33326
In base 15, what is e - 15b7?
-15a8
In base 9, what is 3122 - 277?
2734
In base 13, what is -3 + -145cb4?
-145cb7
In base 5, what is -10 - -11110?
11100
In base 3, what is 110110101021 - -2?
110110101100
In base 5, what is 134 - 1321300?
-1321111
In base 12, what is 634b - -3?
6352
In base 10, what is 0 + 5488?
5488
In base 4, what is 12 - -212000?
212012
In base 15, what is 149c - 4?
1498
In base 4, what is -11003 + 10103?
-300
In base 13, what is 2767 + -88?
26ac
In base 5, what is -204040 - -11?
-204024
In base 15, what is -4 - 40255?
-40259
In base 10, what is -3 - -3885?
3882
In base 14, what is -146 - -48?
-dc
In base 13, what is -59 + 1b69?
1b10
In base 13, what is 8c7b - -19?
8c97
In base 3, what is 22 + 110002222?
110010021
In base 4, what is -1013322 + -322?
-1020310
In base 11, what is -11a7a + 8?
-11a72
In base 8, what is -62 - -1623?
1541
In base 11, what is -16a428 + 4?
-16a424
In base 2, what is -1 - 101000010101100011?
-101000010101100100
In base 13, what is -2a398b + -5?
-2a3993
In base 13, what is -91c23 - -3?
-91c20
In base 14, what is -85360 + -8?
-85368
In base 12, what is -3 + -1748?
-174b
In base 7, what is -541264 - -2?
-541262
In base 2, what is -1110 + 101100111100101?
101100111010111
In base 7, what is -2 - 54511?
-54513
In base 3, what is 210 - -20220?
21200
In base 6, what is -12 + -404341?
-404353
In base 10, what is 4812927 + 2?
4812929
In base 8, what is -1 - 4167?
-4170
In base 6, what is 313114 - -2?
313120
In base 7, what is -3 - 266325?
-266331
In base 14, what is -2d4 - -a5?
-22d
In base 16, what is 2a7673 + -5?
2a766e
In base 6, what is 5002 - 531?
4031
In base 9, what is -2354 + 1?
-2353
In base 11, what is 143aa3 - 5?
143a99
In base 8, what is 231 + 1305?
1536
In base 3, what is 102100201111 + -111?
102100201000
In base 6, what is -10 - -3344334?
3344324
In base 7, what is -2601 + -112?
-3013
In base 10, what is -30 + -36035?
-36065
In base 8, what is 2506 + -1?
2505
In base 13, what is 1c - 5c89?
-5c6a
In base 14, what is -274 - 1b05?
-1d79
In base 3, what is -2221010100 - 0?
-2221010100
In base 15, what is 13b - 26?
115
In base 10, what is -1 - -6962?
6961
In base 12, what is a545 - 22?
a523
In base 7, what is -2 - 166643?
-166645
In base 12, what is -9835a + -23?
-98381
In base 12, what is 10 - -2a23?
2a33
In base 10, what is 11 - -21926?
21937
In base 5, what is -22300023 + -1?
-22300024
In base 12, what is 33a90 + -11?
33a7b
In base 13, what is 12193 + 3?
12196
In base 4, what is -32112123 - -11?
-32112112
In base 11, what is -176a8 + -7?
-17704
In base 8, what is 41437 + -46?
41371
In base 15, what is 11b + -15e?
-43
In base 7, what is 155403 + -13?
155360
In base 8, what is 15457 + 6?
15465
In base 4, what is 301011122 - 30?
301011032
In base 6, what is 44 - -1322?
1410
In base 3, what is 1101120100121 + 10?
1101120100201
In base 15, what is -13542d - -1?
-13542c
In base 2, what is 0 - 101110000001100?
-101110000001100
In base 8, what is 75 + -127506?
-127411
In base 11, what is 2 + -5068?
-5066
In base 5, what is -204400342 - -1?
-204400341
In base 11, what is -2a + -30846?
-30875
In base 2, what is -1100000110001100 + -10110?
-1100000110100010
In base 3, what is 10022210000 + -1?
10022202222
In base 16, what is 1a - 9a6?
-98c
In base 10, what is 4 - 812571?
-812567
In base 15, what is a8 + -62?
46
In base 7, what is 14 + -4561?
-4544
In base 7, what is 2 - -120?
122
In base 14, what is -1 + 24c243?
24c242
In base 3, what is -2011101 - 2?
-2011110
In base 7, what is 33362 - 23?
33336
In base 16, what is 843e - 0?
843e
In base 13, what is -979 + -4b?
-9c7
In base 5, what is -310414 - -32?
-310332
In base 4, what is -2033 - -11313031?
11310332
In base 7, what is 51002 + 0?
51002
In base 6, what is 1 + -313202?
-313201
In base 2, what is -100001010001101 + 1011?
-100001010000010
In base 14, what is -22102 + 5?
-220db
In base 5, what is 24 - 3120?
-3041
In base 16, what is 656 + -1d?
639
In base 12, what is 2 - 943b?
-9439
In base 12, what is 27 + -1a15b?
-1a134
In base 14, what is 8d1 + -35?
89a
In base 2, what is 110001110 + 1010001011?
10000011001
In base 15, what is -5 - -244c5?
244c0
In base 9, what is -6051 + -257?
-6318
In base 12, what is -5b - -264?
205
In base 10, what is 178665 + 4?
178669
In base 7, what is -3242 - -1?
-3241
In base 13, what is -1 + -11112?
-11113
In base 14, what is 24 + 6d7d?
6da3
In base 8, what is 232475 - 17?
232456
In base 14, what is 2b00 + 0?
2b00
In base 6, what is -11 - 2041?
-2052
In base 11, what is 482 - 22?
460
In base 8, what is -16551 + 1455?
-15074
In base 10, what is 5649 - 90?
5559
In base 11, what is -1 - -a840?
a83a
In base 15, what is -402 + -19?
-41b
In base 5, what is -110310 - 13?
-110323
In base 12, what is 5 - 147905?
-147900
In base 11, what is 133 - 5a?
84
In base 13, what is 7 + -130700?
-1306c6
In base 2, what is -110000 + -111111001111?
-111111111111
In base 2, what is 1101001100111010 - 10001?
1101001100101001
In base 8, what is -23740 - 4?
-23744
In base 12, what is -26a6 + -31?
-2717
In base 6, what is 120124324 - 1?
120124323
In base 13, what is -a4026 - 3?
-a4029
In base 4, what is -11 + 102222130?
102222113
In base 15, what is 0 + 8854?
8854
In base 12, what is a900 - 7?
a8b5
In base 5, what is -1031330 - -143?
-1031132
In base 10, what is 45785 - -13?
45798
In base 6, what is 115 - -15050?
15205
In base 10, what is -8 + -3117?
-3125
In base 7, what is 16 - -301354?
301403
In base 3, what is -2210102101021 + -12?
-2210102101110
In base 6, what is -2 - 2521?
-2523
In base 11, what is 4 + -6157?
-6153
In base 10, what is -5 - 663625?
-663630
In base 2, what is -100000110010101100 + -11?
-100000110010101111
In base 16, what is 1 + -121d20?
-121d1f
In base 8, what is 2 + 541606?
541610
In base 8, what is -1674145 - -1?
-1674144
In base 10, what is 1 + 5792?
5793
In base 6, what is -2 - 120312515?
-120312521
In base 6, what is 1010 + -1244?
-234
In base 13, what is -5c0 - -3c3?
-1ca
In base 4, what is -10 + -12222030?
-12222100
In base 7, what is -3236 - 4?
-3243
In base 9, what is 327187 + 4?
327202
In base 7, what is 35624 + 13?
35640
In base 3, what is 0 - -212002121210?
212002121210
In base 12, what is -1286 - -a?
-1278
In base 16, what is 2 + 38125?
38127
In base 16, what is 96 + -bb3?
-b1d
In base 15, what is -3c501 + 2?
-3c4ee
In base 8, what is -340642 - 4?
-340646
In base 7, what is 30 + 2341?
2401
In base 10, what is -6 + -208816?
-208822
In base 2, what
|
{
"pile_set_name": "DM Mathematics"
}
|
pose 270 = 6*v - l. What are the prime factors of v?
223
Suppose 12 = -5*x + 3*w, -7 + 19 = 4*x + 3*w. Suppose a = -j - 0*j + 280, x = 5*j + a - 1384. Suppose j = -7*v + 696. List the prime factors of v.
2, 3, 5
Let x(w) = -3*w**3 + 3*w**2 + 7*w - 2. Let b be x(-5). Let d = 1256 + -615. Let m = d - b. What are the prime factors of m?
2, 3, 19
Let c = -4 + 8. Let f be (2/(-11) + 645/946)*14. Suppose 150 = -c*r + f*r. List the prime factors of r.
2, 5
Suppose 621 = -18*h + 21*h. What are the prime factors of 130/1*h/115?
2, 3, 13
Suppose 18*w - 18707 - 60933 = 28594. List the prime factors of w.
7, 859
Suppose 5*f = 2*o - 803 - 21674, -2*f - 67418 = -6*o. What are the prime factors of o?
2, 53
Suppose -4*y = -3*l + 33, -44 = -5*l - 0*l + 3*y. Suppose 2*w - 7*w = 0. Suppose w = -5*m + l*m - 72. What are the prime factors of m?
2, 3
Let c(q) = 52*q**3 + 4*q**2 - 18*q + 310. List the prime factors of c(10).
2, 3, 5, 17, 103
List the prime factors of ((-5)/((-30)/129678))/(-28 + 29).
21613
Let f(b) = b**2 + 5*b - 3. Let q be f(-5). Let l be (4 + 8)*4/q. Let a = 108 + l. List the prime factors of a.
2, 23
Suppose -21700 - 11276 = -12*n. List the prime factors of n.
2, 3, 229
Let n = 66534 - 45378. What are the prime factors of n?
2, 3, 41, 43
Let v(r) = -r**3 + 6*r**2 - 2*r + 14. Let a be v(6). Let j(m) = -m**3 + 2*m**2 + m. Let n be j(a). Suppose -n*p - 74 = -216. What are the prime factors of p?
71
Let k = 37799 - 17855. What are the prime factors of k?
2, 3, 277
Let v be (-1069)/((-3)/2 + (-2)/(-2)). Suppose -23*h + v + 714 = 0. What are the prime factors of h?
2, 31
Let i = 10341 - 5177. What are the prime factors of i?
2, 1291
Let v(y) = -744*y - 1043. List the prime factors of v(-22).
5, 613
Suppose -13*d + 816 = -9*d. Let b = -93 + d. List the prime factors of b.
3, 37
Let z = 44821 - 28398. What are the prime factors of z?
11, 1493
List the prime factors of (-45 + (-128)/8)/((6 + -3)/(-684)).
2, 3, 19, 61
Suppose 120 = -7*j + 12*j. Let n(a) = -2*a + j + a**2 + a - 64. What are the prime factors of n(-13)?
2, 71
Let x = 114 - -12424. What are the prime factors of x?
2, 6269
Let s(n) = -14*n - 14. Let q be s(-1). What are the prime factors of (-6 - -3) + q + 200/2?
97
Let d(t) = 5*t**3 + 7*t**2 + 7*t - 9. Let z be (3 + 1)*(-57)/(-76). What are the prime factors of d(z)?
2, 3, 5, 7
Suppose 4*t = 2*c + 18, -2*t - 1 - 5 = 2*c. Let r be (11/6 - t) + (-5222)/(-12). Suppose 351 = 4*k - 3*s, -3*s = 2*k - 7*k + r. What are the prime factors of k?
2, 3, 7
Suppose 0 = -23*z + 17*z + 2868. Suppose -10 = 5*x, 2*h + 4*x - z = -x. Suppose -6*p - h = -1006. List the prime factors of p.
127
Suppose 0 = -39*g + 52*g + 39. What are the prime factors of -4*12/(-64)*(-3112)/g?
2, 389
Let s = 926 + -908. Let w = 19 + -82. What are the prime factors of (-14)/w - (-356)/s?
2, 5
Let m(f) = f**3 - 13*f**2 + 28*f + 8. Let o be m(10). What are the prime factors of (-2)/o + 99411/234?
5, 17
Let z be -14*(-4)/8*14. Let v = 157 - z. What are the prime factors of v?
59
Let p be 13 + 15 + (6 - 1). Let y(q) = 2*q**3 - 66*q**2 + 20*q - 29. List the prime factors of y(p).
631
Suppose 2*m = -h - 14, 0 = -4*h + 4*m + m - 69. Let v = h + 17. Suppose d + n + v - 94 = 0, d = n + 91. List the prime factors of d.
2, 23
Suppose 2*i - 4 = 4*m - 2, 5*m = 3*i - 5. Suppose -m*h - 10 + 4 = 0. Let z(q) = -10*q + 26. List the prime factors of z(h).
2, 7
Let t be (-18)/(-45)*(-65)/(-2). Let f(g) = -t*g + 11*g - 3 - 13*g. List the prime factors of f(-8).
3, 13
Suppose 3*n = -5*x + 89246, -9*n + 6*n + 5*x + 89296 = 0. What are the prime factors of n?
3, 7, 13, 109
Let i be 101/4 - 50/40. What are the prime factors of -1 + (-2 - 0) + (889 - i)?
2, 431
Suppose -5*d + j + 172 = -5, -99 = -3*d + 3*j. Suppose -27 = 3*s + d. Let p = 38 - s. List the prime factors of p.
59
Let f be (-12 + -3)*(-2 + (-8)/(-6)). Let t = -61 + f. Let y = t + 96. List the prime factors of y.
3, 5
Let k be ((-39)/(-52)*16/6)/2. List the prime factors of (11 - 4)/(k/11).
7, 11
List the prime factors of 17598*(-8)/8*(-5)/15.
2, 7, 419
Let m(a) = 90*a**2 - 57*a - 1055. List the prime factors of m(-15).
2, 5, 401
Let o(v) = 519*v**2 - 70*v + 266. What are the prime factors of o(4)?
2, 5, 829
What are the prime factors of 69896/12 + 74/(-111)?
2, 7, 13
Let c(n) be the second derivative of -5*n**4/6 - 17*n**3/6 - 5*n**2 + 13*n. Let w(k) be the first derivative of c(k). List the prime factors of w(-6).
103
Let o(j) = j**2 - 11*j - 95. Let m be o(17). Suppose m*f = 3764 + 8003. List the prime factors of f.
41
Let m = -12 - -14. Let h be (-3 + 34/10)/(m/(-100)). List the prime factors of (-15)/h*(318/2 - -1).
2, 3, 5
Let t(m) = 6*m + 8*m - 25*m + 5*m + 140. Let z(h) = 2*h - 47. Let c(k) = -3*t(k) - 10*z(k). What are the prime factors of c(-19)?
2, 11
Let l = -62 - -42. Let m be 605 - l/((-20)/(-4)). Suppose 0 = 11*q - 579 - m. What are the prime factors of q?
2, 3
Let a = 4337 + -3223. List the prime factors of a.
2, 557
What are the prime factors of (3 + (-1953)/(-28))*344/3?
2, 43, 97
Let q(b) = -2*b**2 - 8*b - 15. Let w be q(-2). Let y(u) = -u**3 + 11*u**2 + 21*u + 4. List the prime factors of y(w).
739
Let l = -31029 + 53796. What are the prime factors of l?
3, 7589
Let c(u) = 4*u - 6. Let o be c(2). Suppose 0 = 11*q - 10*q - o. Suppose 11 = q*a - 103. List the prime factors of a.
3, 19
Suppose 24*a - 42 = 30*a. What are the prime factors of -2 - -1312 - a/((-42)/24)?
2, 653
Let m(f) = -f**3 - 13*f**2 - 21*f + 18. Let l be m(-11). Suppose -l*o - 5*o = -432. Suppose -b + 228 = 5*s - 3*b, 0 = s + 2*b - o. List the prime factors of s.
2, 11
Suppose -164 = -4*d + 108. Let z = 41 + d. List the prime factors of z.
109
Let i(q) = -q**3 + 14*q**2 - 24*q - 3. Let s be i(12). Let g be -3*(-3 + 188/s). Let m = 390 - g. List the prime factors of m.
193
Let d(t) = -t**2 - 20*t - 19. Let o(x) = -x**2 - 19*x - 17. Let u(c) = 3*d(c) - 2*o(c). List the prime factors of u(-11).
2, 7
Let g(l) = 6*l**2 - 196*l + 133. What are the prime factors of g(-25)?
8783
Let b(p) = p**2 - 7*p + 3. Suppose 0 = -8*s + 236 - 36. List the prime factors of b(s).
3, 151
Let k be ((-448)/24)/(7/(-21)). Let b = k - -12. What are the prime factors of b?
2, 17
Suppose t + 87 = z, 2*t = -2*t - 20. Suppose -530 = -4*v - z. Suppose 44 + v = 3*h. List the prime factors of h.
2, 13
Suppose -3*s + 2*y + 19452 = s, 0 = 2*y. What are the prime factors of s?
3, 1621
Let d(y) = 5*y**3 + 4*y**2 - 3*y - 2. Let u be d(1). Suppose 3*l = -u*w + 1637, 4*w - 2*l - 1745 + 123 = 0. What are the prime factors of w?
11, 37
Let y(f) be the first derivative of -57*f**2/2 - 33*f + 9. What are the prime factors of y(-12)?
3, 7, 31
Let t(m) be the second derivative of -80*m**3/3 + 17*m**2/2 + 63*m. What are the prime factors of t(-2)?
337
Let k(o) = 2*o**2 - o + 8. Suppose 9*q = 13*q + 20. Let n be k(q). Let l = n + -49. List the prime factors of l.
2, 7
Let l = -111 + 111. Suppose 2*o = -2*v, 3*o + 2*v + 2 - 4 = l. What are the prime factors of 9780/66 - o/11?
2, 37
Let d = 18 + -13. Let k = d - -36. Let c = -7 + k. List the prime factors of c.
2, 17
Let v = -43 - -45. Let i(y) = y**2 + 1. Let j be i(v). Let t(r) = 21*r - 5. What are the prime factors of t(j)?
2, 5
Let m = -20 + 34. Let g be 6 - (m + -15)/(1/(-4)). List the prime factors of 331/3 - g/6.
2, 5, 11
Suppose 5*p + 5*l - 42960 = 0, -25774 = -p - 2*p - 5*l. What are the prime factors of p?
13, 661
Let k(a) = a**3 - 90*a**2 - 101*a + 59. What are the prime factors of k(93)?
37, 449
Let f = 3275 - -4505. What are the prime factors of f?
2, 5, 389
Let d = 26393 + 2347. List the prime factors of d.
2, 3, 5, 479
Let y be (-6)/3*((-327)/6)/1. Suppose -108*f - 82 = -y*f. What are the prime factors of f?
2, 41
Let z(r) = -211*r**2 - r**3 + 6 - 2*r - 7*r + 217*r**2. Let v be z(4). Suppose -146 = -v*c + 4*h, 3*c + 2*h = -3*h + 263. What are the prime factors of c?
3
List the prime factors of (-13 - 616/(-42)) + (-50286)/(-9).
3, 23
Suppose 2*h + 3*w + 64476 = 0, -5*h + 2*w = 7*w + 161195. List the prime factors of h/(-99) - (-5)/(-3).
2, 3
Let b(k) = 25*k**3 + 73*k**2 - 578*k - 4. List the prime factors of b(9).
2, 4733
List the prime factors of 1956/(-16)*(-4 - 6) + 3/6.
1223
Suppose 15 = -t - 3*p - 3, t - 14 = 5*p. List the prime factors
|
{
"pile_set_name": "DM Mathematics"
}
|
6 = i*w. List the prime factors of w.
353
Let w = 9 + 69. Let r = w - 6. What are the prime factors of r?
2, 3
Let u(t) = -1561*t + 229. List the prime factors of u(-2).
3, 1117
Let f be ((-12)/7)/((-2)/14). Let n(k) = 3*k**2 - 8*k - 5 + 12*k - 12 + f*k. What are the prime factors of n(-9)?
2, 41
Let t(a) = -a**3 - 10*a**2 - 4*a + 10. Let h be t(-9). List the prime factors of (17178/h)/((-4)/10).
3, 409
Suppose -48*b + 25941 = -46*b - 5*r, -2*r = -5*b + 64884. List the prime factors of b.
2, 3, 7, 103
Let g(t) be the second derivative of -5*t**4/12 + 10*t**3/3 + t**2/2 + 32*t. Let n be g(4). List the prime factors of -120*(5/(-3) + n).
2, 5
Suppose j + 33*o - 36*o - 10 = 0, -4*j + 40 = 5*o. Suppose 4*b + 0*y - 5589 = -3*y, -3*b + 2*y = -4179. List the prime factors of ((-1)/2 - 0) + b/j.
139
What are the prime factors of 44/(-24) + 2 + (-123)/(-18) + 4458?
5, 19, 47
Suppose -g = -315 + 116. Let t = g + -23. List the prime factors of t.
2, 11
Suppose -w = -h - 841, 5*h + 1697 = 3*h - 3*w. Let f be (-4)/(-8)*h/(-2 + 0). Suppose -5*g = -f - 334. List the prime factors of g.
109
List the prime factors of 496048/(-392)*(-9 + 2).
2, 43, 103
Let t = 93 + -86. Suppose 4*m - 4*j - 96 = 0, -t*m = -3*m + 2*j - 114. Suppose -p = i - 9, m = -3*i + 4*i - 5*p. What are the prime factors of i?
2, 3
Let d(j) = 506*j**2 + 155*j + 452. List the prime factors of d(-3).
19, 239
Suppose -212430 = -23*r + 1489386. List the prime factors of r.
2, 3, 3083
Let h = 213 + -208. Suppose 5*x - 4*x + 2009 = 5*c, 0 = h*c + 4*x - 2014. List the prime factors of c.
2, 3, 67
Suppose 16*i - 36 = 4*i. Suppose -i*d + 1566 = -2*q, -2*q = 4*d + 2*q - 2088. List the prime factors of d.
2, 3, 29
Suppose -17*i = i - 18360. Suppose 5*s + 0*l - i = -5*l, -s + 5*l + 180 = 0. What are the prime factors of s?
2, 5
What are the prime factors of 1559696/128 - 3/24?
5, 2437
Let j = 233 - 233. Let u(m) be the first derivative of m**4/4 - 2*m**3/3 - m**2 + 126*m + 1. List the prime factors of u(j).
2, 3, 7
Let z be 22/(-231) + 1833/63. List the prime factors of 460/(-46)*z/(-2).
5, 29
Suppose 0 = -q + 4*q - 0*q. Suppose 16*m - 558 - 1458 = q. List the prime factors of m.
2, 3, 7
Let t(i) = i**3 + 15*i**2 + 16*i - 27. Let q be t(-12). Let h = q + -42. List the prime factors of h.
3, 19
Let b(n) = 8778*n + 102. What are the prime factors of b(6)?
2, 3, 5, 1759
Let i(c) = 55*c + 752. List the prime factors of i(24).
2, 7, 37
What are the prime factors of ((-40)/15)/(36/(-11853))?
2, 439
Let g(b) = -b**3 - 9*b**2 - b - 11. Let p be g(-9). Let v(d) = 2*d**3 + 5*d**2 + 3*d + 5. Let w be v(p). Suppose -6 = w*l - 5*l. List the prime factors of l.
3
Let d be (-26)/(-10) - (-12)/(-20). Suppose -d*z - 4*s = -4, -8*z + 4*z = 5*s - 11. Suppose z*f - f = 4*y - 456, -3*f = 2*y - 210. List the prime factors of y.
3, 37
Let c(x) be the third derivative of 5*x**4/24 + 7*x**3/2 + x**2. Suppose 2*j = 5 + 5. List the prime factors of c(j).
2, 23
Let a = -137872 - -194203. List the prime factors of a.
3, 11, 569
Let y be (0 + -2)/((15/12)/(-5)). Suppose 960 = y*x - 32. Suppose x = -f + 5*f. List the prime factors of f.
31
Suppose 28*h + 12 = 24*h, -5*h = -4*u + 66711. What are the prime factors of u?
2, 3, 7, 397
Let t = -23 + 29. Suppose t*y + 30 = y. List the prime factors of (3/9)/(y/(-2124)).
2, 59
Let i = -13895 - -21802. List the prime factors of i.
7907
Suppose -2*i + 516 = t, 9*i + 3*t = 12*i - 756. Let j = 1147 - i. List the prime factors of j.
3, 11
Let f = -507 - -1323. Suppose 7*u - f - 962 = 0. What are the prime factors of u?
2, 127
Suppose 30*d = 19*d - 715. Let k = d - -198. List the prime factors of k.
7, 19
Let c be (-4 - (-48)/9)*3. Suppose 0 = -3*m - c*q + 66, 2*q - 4*q = 3*m - 66. Suppose 3*b - 2*b = m. What are the prime factors of b?
2, 11
List the prime factors of (690 - 3)*(18 - (-100)/(-15)).
2, 17, 229
Let c(b) = -9589*b + 2118. List the prime factors of c(-3).
3, 5, 29, 71
Let r(x) = 2*x**2 - 12*x - 25. Let a(q) = -q**2 - 9*q - 5. Let b be a(-4). What are the prime factors of r(b)?
5, 7
Let g(z) = -z**2 + 7*z - 7. Let j be g(5). Suppose 16*x - 17*x + 296 = j*q, -2*q = 5*x - 1519. What are the prime factors of x?
5, 61
Suppose 2*k + 35 = 7*k. Let v = 10 - k. Suppose 3*l = -6, -v*q - 2*l = -l - 313. What are the prime factors of q?
3, 5, 7
Let c(t) = 22*t**2 - 2*t - 14. Let v be c(4). Suppose -5*f - 340 + v = 0. What are the prime factors of ((-80)/(-24))/(f/(-186))?
2, 5, 31
Let j be (-55 - (-5 + 0))/(1*-1). Suppose 0 = -5*g - a - 4*a + j, 2*a + 10 = 3*g. Suppose -g*y + 0*y = -366. What are the prime factors of y?
61
Suppose 0 = 4*b - 8*b - 5*x + 3779, -5*b + 5*x = -4690. Let s = -501 + b. What are the prime factors of s?
2, 5, 11
Let a(f) = -f**3 - 12*f**2 - 12*f - 6. Let b be a(-11). Let j = -10 + b. What are the prime factors of (-21)/j - (-16)/(-80)?
2
Let y(r) = 678*r - 167. List the prime factors of y(11).
23, 317
Suppose 3*g + 11 = 5*g - 3*w, -5*w - 23 = -4*g. Let y = 9 - g. What are the prime factors of (-3 + 35/y)/(1/12)?
2, 3, 29
Suppose 14*v + 0*v + 4144 = 0. Let h = -482 - v. Let z = -88 - h. List the prime factors of z.
2, 7
Suppose -5*y - 3*o - 22 = 0, 3*o + o + 11 = -3*y. Let s(m) = -12*m + 10. Let h(g) = 4*g - 1. Let b(w) = -3*h(w) + s(w). What are the prime factors of b(y)?
7, 19
Let l(t) = 794*t**3 + 3*t**2 - 3*t + 1. Let b be l(1). Suppose -3*n + r + 470 = 0, -5*n - 3*r = -7*r - b. Suppose 3*a = 181 + n. List the prime factors of a.
2, 7
Suppose -198981 = -58*y + 39*y + 951792. List the prime factors of y.
3, 13, 1553
Let q = -111965 - -171666. What are the prime factors of q?
227, 263
Let h(b) = 6*b**2 - 26*b - 31. Let w(o) = 6*o**2 + 17*o - 10 + 31 - 10*o**2. Let a(y) = -5*h(y) - 8*w(y). What are the prime factors of a(-5)?
67
Let h(o) = 57*o - 192. Suppose -30 = -2*i + 4*s, 8*s + 80 = 5*i + 3*s. List the prime factors of h(i).
3, 7, 37
List the prime factors of 19/(437/575) - -60099.
2, 15031
Suppose -23826 - 42569 = -7*g. What are the prime factors of g?
5, 7, 271
Suppose 3*j + 5*h - 3432 = 0, 5*j - 77*h = -76*h + 5720. Let q = j + -283. List the prime factors of q.
3, 7, 41
Let x be 34*(-6 - (-141)/(-6)). Let t = 1404 + x. What are the prime factors of t?
401
Let l be (56/12 + (-1)/(-3))/(-1). Let z be (6/l)/(3/(-10)) - 0. Let q = z - -38. List the prime factors of q.
2, 3, 7
Suppose 3*q = -2*d - 0 + 62, -q = -2*d - 18. Suppose -g = -2*b + 2, -7*g + q = -2*g. Suppose 230 = b*a - 52. List the prime factors of a.
2, 47
Let q = -39 + 39. Suppose q = -g + 20. List the prime factors of -1*(-278)/5 + (-12)/g.
5, 11
What are the prime factors of 273050/10 - 3 - 13?
29, 941
Let q(y) = 12677*y**3 + 4*y**2 + 4*y - 4. List the prime factors of q(1).
3, 1409
Suppose -813*s = -815*s + 2360. List the prime factors of s.
2, 5, 59
List the prime factors of 5 + 447*(0 - -11).
2, 23, 107
Let i(s) = s**3 - 179*s**2 + 522*s + 625. List the prime factors of i(177).
97, 313
What are the prime factors of 8139 + 0 - 0/3?
3, 2713
Let f = -209 - -112. Suppose -6*j - 46 = 1940. Let y = f - j. List the prime factors of y.
2, 3, 13
Let u(m) = -994*m + 1612. List the prime factors of u(-6).
2, 947
Let d be 1 + 0 + (11 + -4 - 8). Suppose d = 29*w - 22*w - 2464. List the prime factors of w.
2, 11
Let f(c) = 10*c**2 + 120*c + 8. List the prime factors of f(6).
2, 17
Suppose 4*k - 2470 = -2*g, 3*g + g = -4*k + 2468. Suppose -5*y = 3*f - 1480, 2*y - k = -f + 5*f. What are the prime factors of y?
13, 23
List the prime factors of ((4*-125)/(-1))/(12*(-8)/(-2064)).
2, 5, 43
Suppose -10*d - 7592 = -20*d + 3858. What are the prime factors of d?
5, 229
Suppose 0 = -56*n + 50*n - 270. Let l be 4/16 + n/(-12) - -211. What are the prime factors of (l - 1) + 1 + -4?
211
Suppose -12 = -0*d + 4*d + 4*m, 3*m + 9 = 2*d. Suppose 8*y - 3*y + 285 = d. Let u = 109 + y. List the prime factors of u.
2, 13
Suppose 2*x - 24 = -3*x + 3*w, -5*x + w + 28 = 0. Let l(d) = 15*d**2 - 56*d + 5. List the prime factors of l(x).
11, 19
Let m be (-7 - -3) + 20 - (2 - 1). Let j(g) = -g**3 + 17*g**2 - 3*g + 19. List the prime factors of j(m).
2, 53
Let u(r) = r + 38. Let a be u(15). List the prime factors of (-1717)/(-4) - a/212.
3, 11, 13
Suppose o + g = 13222 - 4993, 41146 = 5*o + 4*g. What are the prime factors of o?
2, 5, 823
L
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{
"pile_set_name": "DM Mathematics"
}
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+ 2 + 6. Let l(g) = g - 14. Give l(m) + 4*v(m).
m - 18
Let c(s) = -290*s - 1165. Let z be c(-4). Let h(n) = -43*n**3 - 4*n. Let t(q) = -21*q**3 - 2*q. Calculate z*t(x) + 2*h(x).
19*x**3 + 2*x
Let w(j) = -14*j + 13*j + 265247 - 265293. Let r(s) = 23. Determine -5*r(v) - 2*w(v).
2*v - 23
Let w(z) = -101*z - 7468. Let x be w(-74). Let n(d) = -64*d**3 - 26*d**2 + 26. Let p(g) = -7*g**3 - 3*g**2 + 3. Determine x*n(q) - 52*p(q).
-20*q**3
Let v(p) = -p**2 + p. Let o(d) = -29*d - 38. Let l(a) = -2*a + 2. Let z(x) = -4*l(x) + o(x). Let u be z(-2). Let y(s) = 2*s**2 - 6*s + 1. What is u*v(j) - y(j)?
2*j**2 + 2*j - 1
Let f(p) be the third derivative of -11*p**4/12 + p**3/3 + 83*p**2 + p. Let d(h) = -43*h + 3. What is -4*d(y) + 7*f(y)?
18*y + 2
Let z(h) = 6*h**2 - 15. Let g be 4 - (-6 + 2)/(-2). Let c = -71 + 73. Let a(n) = 721*n - 721*n - n**c + 3. Give g*z(q) + 11*a(q).
q**2 + 3
Let n(i) = -i. Let h(y) = 2*y + 7. Let k(v) be the third derivative of -v**3/3 + 5*v**2 + v. Let f(w) = h(w) + 3*k(w). Determine 2*f(c) + 5*n(c).
-c + 2
Let c(t) = t**2 + t - 1. Let g be (-37)/(-9) - 4/(4 + 32). Let f(m) = -3*m**2 - 119 + 62 - g*m + 62. Calculate -6*c(h) - f(h).
-3*h**2 - 2*h + 1
Let m(q) = -22*q**3 - 80*q - 2. Let i(j) = 7*j**3 + 27*j + 1. What is 7*i(a) + 2*m(a)?
5*a**3 + 29*a + 3
Let i(w) = 90*w**3 + 15*w**2 + 15*w + 15. Let t(u) = 13*u**3 + 2*u**2 + 2*u + 2. Suppose 0 = 5*a - 3*x - 8, -20*a + 5*x - 4 = -16*a. What is a*i(d) - 30*t(d)?
-30*d**3
Let x(h) = 83*h**3 + 14*h**2 - 2*h - 21. Let s(l) = 57*l**3 + 9*l**2 - l - 15. Calculate 7*s(i) - 5*x(i).
-16*i**3 - 7*i**2 + 3*i
Let d(v) be the third derivative of 7*v**5/60 - v**4/6 - v**3/6 - 77*v**2 + v. Let j(y) = y**2. What is -d(k) + 3*j(k)?
-4*k**2 + 4*k + 1
Let k(c) = -6*c**2 - 3*c + 4 + 8 - 5. Let y(v) be the first derivative of -v**3/3 - v**2/2 + v - 8844. Let l be (0/(-3))/(-3) + 1. Give l*k(h) - 5*y(h).
-h**2 + 2*h + 2
Let d(b) = -13*b**3 - 2*b. Let v(m) = 8*m**3 + 2*m**2 + 3*m + 8. Let g(l) = 10*l**3 + 3*l**2 + 4*l + 12. Let a(u) = 2*g(u) - 3*v(u). Give 7*a(j) - 2*d(j).
-2*j**3 - 3*j
Let h(s) = 464377*s**2 + 1407*s. Let l(d) = -3969*d**2 - 12*d. Give -8*h(j) - 938*l(j).
7906*j**2
Let r(b) = b + 42. Let k(h) = -8*h - 203. Determine -k(q) - 11*r(q).
-3*q - 259
Let i(v) = v**3 + v**2 - 1. Let n(k) = 3*k**3 + 5*k**2 - 3*k - 9. Let q = 9019 - 9018. Calculate q*n(r) - 5*i(r).
-2*r**3 - 3*r - 4
Let j(c) = 1 - 4*c + c + 0*c - c + 0*c + 6*c**2. Let d(q) = -q**2 + q + 1. Give 4*d(m) + j(m).
2*m**2 + 5
Suppose 0 = 5*o - 3*o + 5*i - 65, o - 5*i + 5 = 0. Suppose -22 - o = -7*y. Let q(d) = -8*d**2 + 5*d + 5. Let v(t) = -8*t**2 + 6*t + 6. What is y*q(m) - 5*v(m)?
-8*m**2
Let o(v) = 19*v**2 - v - 45. Let n(j) = 2*j**2 + 1. Give 7*n(i) - o(i).
-5*i**2 + i + 52
Let z(c) = -28*c**2 + 27*c + 59. Let j(k) = 80*k**2 - 82*k - 172. Give -6*j(l) - 17*z(l).
-4*l**2 + 33*l + 29
Let s(p) = 73*p**2 - 3*p + 10. Let k(c) = 506*c**2 - 22*c + 67. What is 2*k(z) - 15*s(z)?
-83*z**2 + z - 16
Let n(g) = 7*g**3 + 4*g**2 + 6*g. Let s(b) = -b**3 - b. Suppose -408 = -61*r + 53*r. Suppose -r = -20*w + 69. Give w*s(m) + n(m).
m**3 + 4*m**2
Let r(b) = 2*b**3 - 4*b + 3. Let a(j) = -778 - 8*j**2 + 778. Let m be a(1). Let k be -4*10/m - (0 + -2). Let o(x) = -x**3 + 2*x - 1. What is k*o(p) + 3*r(p)?
-p**3 + 2*p + 2
Let h(u) = 65*u**2 + 184*u + 62. Let x(t) = 11*t**2 + 32*t + 11. Determine 6*h(r) - 34*x(r).
16*r**2 + 16*r - 2
Let h(n) = -17*n**2 + 8*n - 11. Let q(m) = -6*m**2 + 3*m - 4. Let t = -842 + 551. Let c = t - -299. Give c*q(r) - 3*h(r).
3*r**2 + 1
Let k(t) = -865*t + 6 + 1794*t - 900*t. Let i(w) = -28*w - 7. What is 4*i(f) + 5*k(f)?
33*f + 2
Let a(y) = y + 5. Let d(l) = 4*l + 14. Let s = -118 + 244. Let n = 137 - s. Calculate n*a(p) - 4*d(p).
-5*p - 1
Let f(b) = 22*b. Let u(p) = 4*p**2 + 10*p - 1. Let h be u(-4). Let z(k) = -3*k + h*k - 8*k - 11*k. What is 2*f(l) - 36*z(l)?
8*l
Let c(j) = -161*j**2 - 21*j - 21. Let r be (-10)/(-115) - (-1)/23*113. Let x(d) = -40*d**2 - 5*d - 5. Give r*c(z) - 21*x(z).
35*z**2
Let u(s) = 411*s - 12 - 5 + 31 - 410*s - 3 - 10. Let m(f) = 3*f + 7. Let p be -5 - (-2 - (-1 + -2)). Calculate p*u(l) + m(l).
-3*l + 1
Let z(u) = -3*u**2 + 42*u - 10. Let a(k) = 2*k**2 - 34*k + 10. Give 5*a(o) + 4*z(o).
-2*o**2 - 2*o + 10
Let o = 1292 - 1287. Let l(w) be the third derivative of -w**6/120 - w**4/6 - 2*w**3/3 - 2*w**2 - 4*w. Let c(g) = g + 1. Give o*l(r) + 20*c(r).
-5*r**3
Let d(o) = -o**2 + o - 5. Let k(s) = -4176*s**3 - 174*s**2 + 174*s - 870. Determine -174*d(c) + k(c).
-4176*c**3
Let d(u) = -83*u**2 + 18*u. Let w(t) = -40*t**2 + 8*t. Let m(z) = -4*d(z) + 9*w(z). Let r(f) = 9*f**2. Calculate 2*m(v) + 7*r(v).
7*v**2
Let w(p) = 2*p**2 + 3*p - 2. Let j(t) be the second derivative of -t**4/3 - 7*t**3/6 + 2*t**2 - 1792*t. Give 6*j(q) + 13*w(q).
2*q**2 - 3*q - 2
Let b(x) = 20*x**2 - 8*x + 8. Let f(t) = -13*t**2 + 5*t - 5. Let l = -43 - -87. Let s = l - 40. Suppose -18 = s*k + 14. What is k*f(u) - 5*b(u)?
4*u**2
Let r(b) = 532*b - 247. Let y(j) = -2*j**3 + 39*j**2 + 22*j - 34. Let z be y(20). Let d(c) = -13*c + 6. Give z*r(g) + 247*d(g).
-19*g
Let g(b) = -b**2 + 6*b - 110. Let x(c) = 4*c**2 - 28*c + 550. Determine 14*g(m) + 3*x(m).
-2*m**2 + 110
Let y(l) = -11*l**2 - 2*l + 1. Let v(s) = -23*s**2 - 4*s + 3. Let a(b) = -2*b**3 - 109*b**2 - 59*b - 263. Let w be a(-54). Give w*y(r) - 3*v(r).
-8*r**2 - 2*r - 2
Let f = -18 + 9. Let l(r) = -3*r + 13. Let i(g) = 80*g - 361. Let h(v) = 57*v - 257. Let x(q) = 7*h(q) - 5*i(q). Calculate f*x(j) + 4*l(j).
-3*j - 2
Let x(g) = -g. Let k = -7063 + 7053. Suppose b - 18 = 2*z - 3*b, -5*z - 4*b + 11 = 0. Let s(r) = -2*r**2 + 10*r. What is k*x(f) + z*s(f)?
2*f**2
Let y(u) be the second derivative of -u**3/3 - 8*u**2 + 5228*u. Let p(t) = -t - 8. Calculate 7*p(g) - 4*y(g).
g + 8
Let g(y) = 7*y + 3. Let b(t) = 8*t + 4. Let n be (-474)/15 + 33/55. Let a(s) = -s**2 - 33*s - 67. Let x be a(n). Calculate x*b(c) + 6*g(c).
2*c - 2
Let a(q) = 26*q**2 - 11*q + 11. Let u = 615 + -609. Let h(l) = -11 - u*l + 13*l**2 + 38 - 14 - 7. What is 6*a(c) - 11*h(c)?
13*c**2
Let v(g) = -7716*g**3 - 6*g**2 - 7*g - 4. Let c(b) = b**3 + 3*b**2 + 3*b + 2. What is -2*c(h) - v(h)?
7714*h**3 + h
Let j(u) = 2968 - 5975*u - 2965 + 5979*u. Let p(r) = -4*r - 2. Let z(q) = -q**3 - 8*q**2 - 8*q - 4. Let w be z(-7). What is w*p(c) + 2*j(c)?
-4*c
Let p(t) = -2*t + 30. Let w be p(14). Let r(j) = 18 - j - 19 + w*j. Suppose -2*y + 4 - 6 = 0. Let n(a) = -a**2 + 4*a - 3. Calculate y*n(d) + 4*r(d).
d**2 - 1
Let p(a) = -62*a**3 - 3*a**2 - 3. Let q(t) be the third derivative of -21*t**6/40 - t**5/15 - 2*t**3/3 - 1408*t**2 + t - 2. What is -4*p(m) + 3*q(m)?
59*m**3
Let q(o) = 15*o + 6. Let n(c) = 142. Let t(h) = -85. Let z(w) = 3*n(w) + 5*t(w). Determine -q(g) + 6*z(g).
-15*g
Let w(v) = v**2 - v + 1. Let g = 64 - 65. Let y(x) be the first derivative of 4*x + 8/3*x**3 - 2*x**2 + 7. Give g*y(k) + 5*w(k).
-3*k**2 - k + 1
Let s(j) = 23*j - 13. Let i(v) = v**2 - 6*v - 11. Let w be i(8). Let x be 10 - (4 + 0/w). Let t(r) = -11*r + 6. What is x*s(g) + 13*t(g)?
-5*g
Let y(r) = -4*r**2 + 27*r + 26. Let i(h) = -13*h**2 + 81*h + 92. Give 2*i(g) - 7*y(g).
2*g**2 - 27*g + 2
Let f(i) = -2653*i - 8. Let p(z) = 413850*z + 1246. Calculate 623*f(g) + 4*p(g).
2581*g
Let z(u) = -17*u + 5. Suppose -4*m + 0*d = -2*d + 16, -5*m - 29 = 2*d. Let b(q) = -19*q + 7 - 20*q + 14*q. Determine m*b(v) + 7*z(v).
6*v
Let z = -93643 + 93640. Let a(x) = -x**2. Let i(q) = -q**3 + q**2 - 1. Let b(k) = 5*k**3 - 6*k**2 + 4. Let m(v) = -b(v) - 4*i(v). Give z*a(l) - 2*m(l).
2*l**3 - l**2
Let o(u) be the second derivative of u**5/10 + u**2 + u. Let z(c) = -2*c**3 - 2 + 0*c**3 - 1. Let q = -43046 + 43044. What is q*z(g) - 3*o(g)?
-2*g**3
Let b(l) = 4818*l**3 - 2*l**2 - 44*l - 9. Let h(p) = p**3 - p**2 - 11*p - 2. What is -b(s) + 4*h(s)?
-4814*s**3 - 2*s**2 + 1
Let v(f) = -2*f**2 + 4*f. Let p(l) = 11*l**3 - 53*l**2 - 12*l - 8. Let r(i) = -p(i) - 5*v(i). Let w(o) = -7*o**3 + 42*o**2 - 5*o + 5. What is 5*r(t) - 8*w(t)?
t**3 - 21*t**2
Let u(p) = 5*p - 1. Let s(f) = -f**3 + 7*f**2 + 8*f + 4. Let o be s(8). Suppose -19*k = -12*k - 7. Suppose o*y - k = 3. Let j(t) = t. Give y*u(m) - 3*j(m).
2*m - 1
Let r(d) = -3*d**3 - 10*d**2 - 787. Let v(h) = 4*h**3 + 14*h**2 - h + 1182. Determine -7*r(x)
|
{
"pile_set_name": "DM Mathematics"
}
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3 + y = f*a. What are the prime factors of a?
3, 5
Let w(n) = 2*n**2 + 3*n - 11. List the prime factors of w(-11).
2, 3, 11
Let y be 4 + ((-6)/(-3) - 2). Suppose -4*t - 5*i = 11 - 81, y*i = t - 7. List the prime factors of t.
3, 5
Let m be 2/(-5) + 1036/(-35). What are the prime factors of 36/(-27)*m/4?
2, 5
Suppose n = 5*n. Suppose -92 = -n*u - 4*u. What are the prime factors of u?
23
List the prime factors of 4/(-4) + (-2 - -16).
13
Let l(a) = 40*a + 39. List the prime factors of l(5).
239
Let r = -35 - -59. List the prime factors of r.
2, 3
Let s(r) = 2*r - 2. What are the prime factors of s(6)?
2, 5
Let d = 0 - 0. Suppose -v + q + 7 = 0, 4*v + d*v - 22 = -2*q. Suppose 16 = v*k - 2*k. What are the prime factors of k?
2
Let l(b) = b**2 + 22*b + 63. What are the prime factors of l(-20)?
23
Let w be (22/8)/((-3)/(-24)). Suppose w = 3*u - 5. Suppose 0 = 3*p - u. List the prime factors of p.
3
Let n = -7 - -21. Let i = 2 - -3. Suppose -i*c + 21 = -n. List the prime factors of c.
7
Let m(w) = w**2 - 2*w - 1. Let b be m(2). Suppose -3*s + 94 = 5*l + 22, -20 = -3*l + 4*s. Let u = b + l. What are the prime factors of u?
11
Suppose 4*q - 2 = 3*q. Let j(v) = 0 + 2 - 1 - v**q + v**3 + 2 - 4*v. List the prime factors of j(3).
3
Suppose -19 = -3*s - 5*w, 0 = -5*s - w + 10 + 7. Let k = s - 6. Let g = k + 7. List the prime factors of g.
2
Let r(q) = -q + 10. Let n be r(7). Suppose -2*w - 2*h - 71 = -9, n*w - h = -77. What are the prime factors of (-2)/(60/w + 2)?
3
Suppose -5*b = 2*o - 14, -o + 0*b = 3*b - 9. Let p = o - 1. List the prime factors of -2*(30/p - 1).
17
Suppose -2*z - 3*u + 0*u + 34 = 0, -u = 4. Let w = -14 + z. List the prime factors of w.
3
Let k be 1/(-2)*(-1 + 221). Let n = -51 - k. Let g = n + -40. What are the prime factors of g?
19
Let a = 13 + -8. Suppose -t + 107 + a = 0. List the prime factors of (-10)/45 + t/18.
2, 3
Let z = -30 - -199. List the prime factors of z.
13
Let x = 7 - 4. List the prime factors of 0 + x + (0 - -6).
3
What are the prime factors of ((2030/(-15))/(-7))/(3/18)?
2, 29
Let r(w) = -13*w**3 - 3*w**2 - w - 2. List the prime factors of r(-2).
2, 23
Let y(l) = -4*l + 2*l**2 - 2*l + 5*l**2 + l. Let h(n) = -15*n**2 + 11*n. Let u(b) = 6*h(b) + 13*y(b). List the prime factors of u(2).
2, 3
Let j(b) = b**3 - 4*b**2 + 2*b + 3. Let o be j(3). Let p(d) = -d**3 + d**2 + 37. What are the prime factors of p(o)?
37
Let l(b) = 4*b**3 - 7*b**2 + 4*b. List the prime factors of l(3).
3, 19
Let p = 3 - -26. Suppose 5*u - p = 11. Suppose -j = r + 2*j - u, -5*r = 2*j - 53. What are the prime factors of r?
11
Let h(m) = 2*m + 19. List the prime factors of h(10).
3, 13
Let d(p) = -3*p - 9. Let c = -8 - 4. Let h be (3 + c)*(2 - 1). What are the prime factors of d(h)?
2, 3
Let d be 106/13 - 6/39. Let q = d - 2. List the prime factors of 14 + 3/(q/4).
2
Suppose 25 = -9*y + 4*y. Let l = -5 - y. Suppose -36 + l = -3*k. What are the prime factors of k?
2, 3
Suppose -4*i + 5*c - 13 = 0, -3*i - 3*c = -25 + 1. Let t be 2*i + (-3 - -4). Suppose 2*b + 0*f - 4*f - 32 = 0, 5*f + t = -3*b. What are the prime factors of b?
2, 3
Let h be 2 + (6 - -2) + -3. Suppose 0*d - 2*u + 8 = d, 0 = -5*d + u + h. List the prime factors of d.
2
Let z = 2 + 5. Suppose -z*o + 2*o = -70. List the prime factors of o.
2, 7
Let f = 46 - 20. List the prime factors of f.
2, 13
Suppose 3*r = -r + 84. List the prime factors of r.
3, 7
Let v be -14 - -4*2/4. Let o = 12 - v. What are the prime factors of o?
2, 3
Let p(a) = 18*a - 2. Let l be p(3). Let u = 84 - l. List the prime factors of u.
2
What are the prime factors of (3*(-18)/81)/(4/(-2226))?
7, 53
Let f = -33 + 50. List the prime factors of f.
17
Suppose -2*f = -5*z - 43, f - 4*z = -0*z + 29. Let y be (-28)/(-2) - (-1)/(-1). Let u = y - f. What are the prime factors of u?
2
Let j be (-38)/(-4) - 1/2. Let m = j + -2. What are the prime factors of m?
7
Let t(c) = c**2 - 10*c + 13. Let m be t(9). Suppose 2*f - 6*f + 17 = o, m*o + 5*f - 57 = 0. List the prime factors of o.
13
Let v(w) = 3*w**2 - 7*w + 2. List the prime factors of v(3).
2
What are the prime factors of (2/(-14) - -1)*7?
2, 3
Let y be 0 + (-1 - (1 + -15)). Let x = y - 3. What are the prime factors of x?
2, 5
Suppose -116 = -4*a - 24. Let g = 40 - a. What are the prime factors of g?
17
Let s be 186/27 - 1/(-9). Let p = s - -50. List the prime factors of p.
3, 19
Let o(i) be the second derivative of i**3/6 - 3*i**2/2 - 2*i. Let d be o(5). Suppose -d*b + 4 = -b. What are the prime factors of b?
2
Suppose 4*t + 5 = -35. Let y = -5 - t. Let b = 8 - y. What are the prime factors of b?
3
Suppose 0 = 5*l - 6*x + 2*x - 371, 16 = -4*x. What are the prime factors of l?
71
Let k(o) be the third derivative of o**6/40 + o**3/3 - 9*o**2. List the prime factors of k(2).
2, 13
List the prime factors of (19/19)/((-1)/(-17)).
17
Let x = 8 + -13. Let a(l) = -l**2 - 6*l - 5. Let i be a(x). Suppose i = -0*t - t + 7. List the prime factors of t.
7
Let x(a) = -a**2 + 2*a - 4. Let w be x(6). Let d = -17 - w. List the prime factors of d.
11
Let d = -21 + 36. Let n = d + -12. What are the prime factors of n?
3
Let h(k) = k**3 + k**2 - 4. Let d be h(4). Suppose 0*a + 2*a = d. List the prime factors of a.
2, 19
Let w(p) = 16*p**3 + p**2 - p + 4. Let x be w(2). What are the prime factors of 2/(-6) - x/(-6)?
2, 11
Let i = -2 + 55. What are the prime factors of i?
53
Let m = 46 - 5. What are the prime factors of m?
41
Suppose -254 = 2*h - 7*h + 2*v, -4*h - 4*v = -220. What are the prime factors of h?
2, 13
Suppose -78 = -5*o + 472. What are the prime factors of o?
2, 5, 11
Suppose -178 = -2*a - 2*f + 192, 0 = -5*a - 3*f + 933. List the prime factors of a.
3, 7
Let q(s) = -13*s + 54. List the prime factors of q(-10).
2, 23
Let w be ((-3)/2)/((-1)/(-12)). Let q = -29 + 21. Let o = q - w. What are the prime factors of o?
2, 5
Let f(a) = -a**2 - 3*a + 2. Let i = 1 + -4. Let k be f(i). Suppose 5*s + 13 = -2, 2*n + k*s - 18 = 0. List the prime factors of n.
2, 3
Suppose 3*h + 15 = 0, 0 = z - 3*h + 5 - 22. Let c(r) = 11*r**2 - 3*r + 4. What are the prime factors of c(z)?
2, 3, 7
Let t(r) = -r**3 + 11*r**2 - 10*r - 1. Let p be t(10). Let a = p + 12. List the prime factors of a.
11
Suppose 170 = 12*w - 7*w. List the prime factors of w.
2, 17
List the prime factors of (-129)/(-9) + 4/(-12).
2, 7
Let x(a) = 39*a**2 + a + 1. What are the prime factors of x(-1)?
3, 13
Let o be 85/25 - (-2)/(-5). Let a(z) = 16*z. List the prime factors of a(o).
2, 3
Suppose 25*t = 28*t - 60. What are the prime factors of t?
2, 5
Suppose 4*f - b + 3 = -3, 0 = 4*f + 2*b + 12. Let p(i) = i + 3*i**2 + 1 - 2 + 0. List the prime factors of p(f).
3
Suppose -2 - 7 = 3*m - d, -m - 5*d - 19 = 0. Let x(t) = 4 + 9*t**2 + 3*t + 9*t**2 - 17*t**2. What are the prime factors of x(m)?
2
Let n = -27 - -29. What are the prime factors of n?
2
Let t(d) = -d. Let j(a) = -a. Let h(x) = -4*j(x) - t(x). Let c be h(-3). List the prime factors of ((-8)/(-12))/((-1)/c).
2, 5
Suppose 2*q + a = -36, -4*q = -2*a - 2*a + 84. Let o = q - -35. List the prime factors of o.
2
Suppose 0 = -4*k + 6*k - 54. What are the prime factors of k?
3
Let f be (0 + 1)/(3/135). Suppose 2*l + l - f = 0. What are the prime factors of l?
3, 5
Let l(u) = 3*u - 6. Let q be l(5). Suppose -5*g + q = -41. What are the prime factors of g?
2, 5
Let c(v) = -v**3 + 6*v**2 + 9*v - 7. What are the prime factors of c(6)?
47
Suppose -4*k - d + 66 = 0, 2*k + 3*d = k + 22. Suppose -n - 3*n = 36. Let q = n + k. List the prime factors of q.
7
Suppose 1168 = 11*p - 7*p. What are the prime factors of p?
2, 73
What are the prime factors of (-1542)/(-24) + 9/12?
5, 13
List the prime factors of (-6)/(-4) + ((-5796)/8)/(-7).
3, 5, 7
Let z = 280 - 2. What are the prime factors of z?
2, 139
Suppose -2*v - 8 = -16. What are the prime factors of v?
2
Suppose -2*u = n - 1, 3 + 1 = u. Let d = -5 - n. Suppose -d*q = -10 - 12. What are the prime factors of q?
11
Suppose 5*r = -35 - 10. Let j(t) = t**3 + 9*t**2 - 2*t - 6. What are the prime factors of j(r)?
2, 3
Let w be (-3)/3 + -2 + 5. Suppose -w*l + 30 = l. List the prime factors of l.
2, 5
Suppose -2*h - 28 + 118 = 0. Suppose 0 = -3*z + 8*z - h. What are the prime factors of z?
3
Let w(u) = 2*u**2 + 5*u - 7. What are the prime factors of w(-6)?
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{
"pile_set_name": "DM Mathematics"
}
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1844*q**2 + 917*q**2 + 135.
3*(q - 3)*(11*q - 15)
Let j(q) = 5*q + 179. Suppose -1184 = 22*k - 414. Let p be j(k). Factor 0 - 4/9*g**5 + 8/9*g**2 - 8/9*g**p + 0*g**3 + 4/9*g.
-4*g*(g - 1)*(g + 1)**3/9
Let o(n) be the third derivative of n**6/90 - 112*n**5/45 - 113*n**4/18 + 5*n**2 + 48. Solve o(a) = 0 for a.
-1, 0, 113
Let d(b) = -4*b**2 + 144*b - 180. Let f = 81 + -80. Let i(r) = 2. Let s(y) = f*d(y) + 20*i(y). Factor s(c).
-4*(c - 35)*(c - 1)
Let m(z) = z**2 + z + 12. Let p(h) = -8*h**3 - 590*h**2 + 616*h - 32. Let f(s) = -10*m(s) + p(s). Factor f(n).
-2*(n + 76)*(2*n - 1)**2
Suppose 0 = 6*k - 2*k - 164. Let t = -39 + k. Suppose -3*z**2 - 4*z**2 - 3*z**t - 24*z - 4 - z**2 = 0. What is z?
-2, -2/11
Let f(i) be the second derivative of 0 + 13*i - 5/3*i**3 + 5/12*i**4 - 15/2*i**2. Solve f(s) = 0.
-1, 3
Let n(v) be the first derivative of -v**5/15 + 9*v**4/2 + 19*v**3 + 2*v**2/3 - 76*v - 2949. Factor n(k).
-(k - 57)*(k - 1)*(k + 2)**2/3
Solve -274/7*a**3 + 10/7*a**4 - 720/7 + 1628/7*a**2 + 1192/7*a = 0 for a.
-1, 2/5, 10, 18
Let n = 62536 + -250133/4. Find r such that -3*r - n - 1/4*r**2 = 0.
-11, -1
Let i be 1/1*9/((-9)/(-4)). Let x be (7 + -5)/(i/6). Factor -4*q**2 + x*q**2 - 2 + 2*q + q.
-(q - 2)*(q - 1)
Let b be -5*(-21570)/94675 + -1. Let r = 2/541 + b. Find w such that 4/7 + 8/7*w - 3/7*w**3 + r*w**2 = 0.
-1, -2/3, 2
Let a(h) be the second derivative of 35/4*h**4 - 166 - h - 115/6*h**3 + 5*h**2. Factor a(m).
5*(m - 1)*(21*m - 2)
Determine i so that 0*i + 0 - 126/11*i**2 + 2/11*i**4 - 4/11*i**3 = 0.
-7, 0, 9
Suppose 12/5*s**2 - 504/5 + 748/5*s - 252/5*s**3 - 4/5*s**4 = 0. What is s?
-63, -2, 1
Suppose -259*q - 7*q + 1796 = 183*q. Let -14/11*g**2 - 16/11*g + 24/11 + 4/11*g**3 + 2/11*g**q = 0. What is g?
-3, -2, 1, 2
Let o be (9163/8330)/(2/(-3) + 38/30). Let u(i) be the first derivative of o*i**4 + 2/3*i - 7/6*i**2 + 1/2*i**6 - 8/9*i**3 - 18 + 2*i**5. Solve u(r) = 0 for r.
-2, -1, 1/3
Let h(y) = y**3 - 2*y**2 + 7*y - 1. Let d(t) = -8*t**3 + 576*t**2 + 18960*t + 12. Let a(c) = -d(c) - 12*h(c). Factor a(z).
-4*z*(z + 69)**2
Suppose -225*d = -310 - 815. Let x = 1/142 + 1417/426. Factor 2/3*i**d + 2/3*i**4 + 16/3*i - x*i**3 - 2/3*i**2 - 8/3.
2*(i - 1)**3*(i + 2)**2/3
Let t(w) be the first derivative of w**3/6 + 59*w**2/4 + 57*w - 1071. Factor t(f).
(f + 2)*(f + 57)/2
Factor -18185*y**2 - 65*y**3 + 7*y**3 - 200*y + 18393*y**2 + 2*y**4.
2*y*(y - 25)*(y - 2)**2
Let d(p) be the first derivative of -p**3/2 + 557*p**2/8 + 93*p/4 + 2570. Determine u so that d(u) = 0.
-1/6, 93
Let y(l) be the first derivative of -4*l**5/5 + 85*l**4 + 4*l**3 - 506*l**2 - 680*l + 3469. Let y(b) = 0. Calculate b.
-1, 2, 85
Let y = 34/689 + -825592/3445. Let o = y - -240. Suppose -1/5*c**2 - 1/5 + o*c = 0. What is c?
1
Suppose -2*c - 5*f + f + 3526 = 0, 5*c - 8787 = 4*f. Suppose 0 = c*p - 1767*p. Factor 1/4*o**2 + p + 1/4*o.
o*(o + 1)/4
Factor -528*h + 0*h**2 + 4*h**2 + 149*h - 149*h + 625 - 101.
4*(h - 131)*(h - 1)
Let y(l) = 7*l - 15. Let h be y(2). Let f be 16/28 + h/7. Let -1/7*a**5 - 3/7*a**4 + 1/7 - 2/7*a**3 + f*a + 2/7*a**2 = 0. What is a?
-1, 1
Let o(t) be the first derivative of 90 + t**4 - 55*t**2 + 2 + 40*t + 35*t**3 - 11*t**4 + t**5. Factor o(z).
5*(z - 4)*(z - 2)*(z - 1)**2
Let v(u) = -3*u**4 - 8*u**3 + 38*u**2 - 64*u + 17. Let s(n) = -n**4 + n**3 - n**2 - 3*n - 1. Let m(i) = 8*s(i) - 2*v(i). Factor m(o).
-2*(o - 7)*(o - 3)*(o - 1)**2
Let l(x) be the third derivative of -x**4/12 + x**3 - 8*x**2. Let t be l(2). Factor -4*k**t - 16*k**2 - 61 - 28*k + 53.
-4*(k + 1)*(5*k + 2)
Let x(v) be the second derivative of -v**5/20 - 8*v**4/3 + 13*v**3/2 + 99*v**2 - 298*v. Factor x(b).
-(b - 3)*(b + 2)*(b + 33)
Let u = 14 - 14. Suppose 2*q + u*q = 10. Factor -b**5 - 10*b**5 + 20*b**q - 10*b**5.
-b**5
Let i(k) be the first derivative of -k**4/8 + 5*k**3/3 + k**2 - 20*k - 7084. Solve i(r) = 0.
-2, 2, 10
Suppose 5*q - 4*p = -2666, 2*q + 1570 = -q - 5*p. Let s = q + 530. Determine d so that 4/11*d**4 - 2/11*d**5 + 2/11*d**3 + 0 - 4/11*d**2 + s*d = 0.
-1, 0, 1, 2
Let n(h) be the first derivative of h**5/20 - 27*h**4/8 + 90*h**3 - 1188*h**2 + 7776*h - 6035. Determine r so that n(r) = 0.
12, 18
Let p(t) be the second derivative of -2*t - 1/12*t**4 - 25/6*t**3 - 85 - 12*t**2. Factor p(j).
-(j + 1)*(j + 24)
Let o(j) be the second derivative of -j**4/4 - 17*j**3 - 435*j**2/2 - 5033*j + 1. Factor o(u).
-3*(u + 5)*(u + 29)
Let c = -259720 - -259722. Solve 2/7*f - 8/7*f**c + 2/7*f**3 + 12/7 = 0 for f.
-1, 2, 3
Let u = -74951 + 299821/4. Suppose -u*q + 1/4*q**4 - 15/4*q**3 + 0 - 33/4*q**2 = 0. What is q?
-1, 0, 17
Let a = -70678141/320 - -220870. Let m = a + -3/320. Factor 0*b**2 - 1/5*b**3 + m*b + 0.
-b*(b - 2)*(b + 2)/5
Factor 70*f + 49*f - 99*f**2 - 234*f - f**4 - 19*f**3 + 34*f.
-f*(f + 1)*(f + 9)**2
Let t be 5/(-10)*(0 - 0). Let f = 25285 + -25285. Factor t - 4/15*i**4 - 2/3*i**3 - 4/15*i**2 + f*i.
-2*i**2*(i + 2)*(2*i + 1)/15
Solve 84/5*a**3 - 1/5*a**5 - 112/5*a**2 - 64/5*a + 144/5 - 13/5*a**4 = 0.
-18, -1, 2
Let p(x) be the third derivative of -1/30*x**6 + 30*x**3 + 11/15*x**5 - 13/2*x**4 + 0*x - 1 - 21*x**2. Factor p(j).
-4*(j - 5)*(j - 3)**2
Let j(y) be the third derivative of y**6/1260 - 16*y**3/3 - 10*y**2 + y. Let x(c) be the first derivative of j(c). Factor x(b).
2*b**2/7
Let 6*g**2 - 843/2*g**4 + 0 + 819/4*g**5 + 0*g + 21*g**3 = 0. Calculate g.
-2/21, 0, 2/13, 2
Let t(z) be the first derivative of 0*z + 0*z**2 + 0*z**3 + 56 + 0*z**5 + 1/21*z**6 + 0*z**4. Factor t(g).
2*g**5/7
Let t(f) be the first derivative of 2/7*f**4 + 6*f**3 + 110 - 16/7*f**2 + 0*f. Factor t(o).
2*o*(o + 16)*(4*o - 1)/7
Let x = 7375/2769 + 3/923. Let i(v) = 10*v - 8. Let a be i(2). Find l such that a*l**2 - 28/3*l - x = 0.
-2/9, 1
Let v(u) be the first derivative of 1/720*u**6 - 3 + 29/3*u**3 + 0*u**2 + 1/6*u**4 + 0*u + 3/80*u**5. Let j(f) be the third derivative of v(f). Factor j(q).
(q + 1)*(q + 8)/2
Let p(z) = 0 - 3*z - z - z + z - 7. Let c(d) = -d**2 - d + 1. Suppose 0 = 2*h + 5 - 3. Let j(a) = h*c(a) - p(a). Suppose j(q) = 0. What is q?
-3, -2
Let y(l) be the second derivative of -l**4/54 + 11*l**3/27 + 26*l**2/9 - 173*l + 1. Factor y(q).
-2*(q - 13)*(q + 2)/9
Let v = 38 + -40. Let c be 2 - ((-78)/(-12) + -6)*v. Solve -1/3*k**c - 1/3*k + 0 + 2/3*k**2 = 0 for k.
0, 1
Let q(x) be the first derivative of 61/19*x**2 + 2/95*x**5 + 40/19*x - 180 + 23/38*x**4 + 42/19*x**3. Find f, given that q(f) = 0.
-20, -1
Let p = -64 - -4. Let h be ((-45)/p)/(66/16). Determine z so that 14/11*z**5 + 32/11*z - 8/11 + 10/11*z**4 - 46/11*z**3 - h*z**2 = 0.
-2, -1, 2/7, 1
Let m be (1337/(-955))/((-14)/16). Let f(g) be the first derivative of m*g**3 - 12/5*g - 11/5*g**2 + 23 + 1/2*g**4. Determine c, given that f(c) = 0.
-3, -2/5, 1
Let a(d) be the first derivative of 126 - 5/3*d**3 - 6480*d - 180*d**2. Solve a(f) = 0.
-36
Solve -1748/9*d**2 + 2/9*d**5 + 874/9*d**4 + 2/9*d + 874/9 - 4/9*d**3 = 0.
-437, -1, 1
Let x = 1378 + -1242. Let d be 3/(-51) - (-212)/x. Let -6*v**2 + 6*v**3 + 0*v + 0 - d*v**4 = 0. What is v?
0, 2
Let n = -4 - -1. Let o(l) = 304*l + 298*l + l**2 - 603*l. Let w(f) = 4*f**2 - 8*f. Let v(c) = n*w(c) + 15*o(c). Suppose v(y) = 0. What is y?
-3, 0
Let s(o) be the second derivative of -o**4/66 + 74*o**3/11 + 448*o**2/11 + 27*o - 52. Factor s(z).
-2*(z - 224)*(z + 2)/11
Let r(b) be the third derivative of -b**8/8400 + 17*b**6/1800 - 3*b**5/50 + b**4/6 + 91*b**3/6 - 5*b**2. Let h(j) be the first derivative of r(j). Factor h(w).
-(w - 2)**2*(w - 1)*(w + 5)/5
Factor -98 + 7*d**3 - 22 - 3*d**3 + 548*d + 480 + 192*d**2.
4*(d + 1)*(d + 2)*(d + 45)
Let l = 2970 - 14847/5. Let h(d) be the second derivative of -2/15*d**3 - d - 1/30*d**4 + 0 + l*d**2. Factor h(p).
-2*(p - 1)*(p + 3)/5
Let q(w) = 5*w - 58. Let x be q(12). Factor 35*k**x + 11 - 65*k + 12 - 5*k**4 + 5*k**3 + 2 + 5.
-5*(k - 2)*(k - 1)**2*(k + 3)
Let v(n) = -4*n**4 + 32*n**3 + 167*n**2 + 189*n - 7. Let l(f) = -f**4 + 11*f**3 + 55*f**2 + 63*f - 2. Let o(s) = -21*l(s) + 6*v(s). Factor o(h).
-3*h*(h + 3)**2*(h + 7)
Let s = -685536 + 685540. Factor 192 + 52/3*h**2 + 1/3*h**s + 160*h - 20/3*h**3.
(h - 12)**2*(h + 2)**2/3
Let i(t) = -t**3 - 42*t**2 + 124*t - 495. Let z be i(-45). Let n = 1 + 1. Solve 6/7*c - 2/7*c**n + z = 0 for c.
0, 3
Factor -17*w - 4*w**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
16. Let j be g(-7). Suppose j*v = 7*v. Does 10 divide 20*(-2)/(v - 2)?
True
Let j(f) = f**2 + 7*f - 208. Does 19 divide j(29)?
True
Let z(p) be the third derivative of -p**6/120 + 7*p**5/60 + p**4/12 + 5*p**3/6 - p**2. Let f(w) = -w**2 - 23*w + 180. Let s be f(6). Is z(s) a multiple of 17?
False
Let i(s) = -540 + 7*s**2 + 0*s + 530 - s**3 + 8*s. Suppose 0 = u - 4 - 0. Is i(u) a multiple of 18?
False
Let m = -15 - -13. Is 3 a factor of (22/2)/(m/4*-2)?
False
Let m be ((-3)/3)/((-4)/548). Suppose -2*t - 3*p - 77 = -16, m = -4*t - p. Is -1*7/(t/510) a multiple of 34?
True
Let t(k) = k**2 + 2*k - 3. Let y(c) = 55*c - 65. Let l(f) = -5*f + 6. Let b(z) = -65*l(z) - 6*y(z). Let v be b(1). Does 9 divide t(v)?
False
Does 15 divide 6*6/(-6 - -78)*3734?
False
Suppose 0 = 3*u + 2*z - 2426, 3*u - 6*z + 2*z - 2456 = 0. Is u a multiple of 14?
True
Let p be 9/(-15) + -68*(-3)/15. Let v(c) = 13*c + 9. Is 35 a factor of v(p)?
False
Let v(a) = -a**2 + 8*a - 13. Let u be v(3). Suppose -100 = -4*b + 2*n, -4*n + 16 - 60 = -u*b. Is b a multiple of 26?
True
Let g(x) = x + 60. Suppose -u + 0 = -3*n - 6, u = 2*n + 3. Let a = 3 + u. Is 20 a factor of g(a)?
True
Suppose -19 = -5*y - 49. Let l(w) be the third derivative of -w**6/120 - w**5/12 - w**3/6 - 2*w**2. Does 8 divide l(y)?
False
Let l(y) = -y**3 - 5*y**2 - 6*y - 4. Let k be l(-4). Is 4/(-2)*((-122)/k - 1) a multiple of 9?
True
Is 47 a factor of 18/24 - (-19887)/28?
False
Suppose 0 = -3*g + 10*z + 12433, z + 9101 = 3*g - 3323. Does 101 divide g?
True
Let m be 4*(-4 + 5) + -1. Let a(t) = 16*t. Let q be a(m). Suppose -7*x + q = -5*x. Is 4 a factor of x?
True
Let f(x) = -43*x + 24. Let u(o) = 1. Let k(r) = -f(r) + 6*u(r). Is k(3) a multiple of 10?
False
Suppose -2*d - 1 = -9. Suppose -6*g + 321 = 2*a - 11*g, 0 = a + d*g - 193. Does 18 divide a?
False
Let z = -166 + 544. Is z a multiple of 3?
True
Suppose 22*j - 14*j - 704 = 0. Is j a multiple of 4?
True
Let c be 29/(-1) + 4 + -7. Let g = c + 68. Is 6 a factor of g?
True
Let f = 350 - 214. Suppose -5*h + 164 = 4*n, 0 = 5*h - h + 2*n - f. Is 9 a factor of h?
True
Let n be 758/(-6) - 16/(-48). Let j = 231 + n. Does 7 divide j?
True
Let i(q) be the second derivative of 1/2*q**2 + 0*q**3 + 0 + 7/4*q**4 - q. Does 22 divide i(-1)?
True
Let n = -816 + 954. Does 74 divide n?
False
Suppose -w = 4, -5*w = -2*x - 3*w + 656. Is x a multiple of 6?
True
Suppose 6*s = 3*s. Suppose 5*y - 6*y + 58 = s. Is 15 a factor of y?
False
Let v be 39/33 - (-3 - (-35)/11). Is (-1)/(v/(-149)) - (-4 + 1) a multiple of 13?
False
Suppose 4*w - 1345 = -y, 3*w - 332 = 2*w + 4*y. Suppose w = -u + 3*u. Suppose u = -4*q + 10*q. Does 7 divide q?
True
Let s(u) = -u**3 - 9*u**2 - 7*u + 2210. Does 26 divide s(0)?
True
Suppose 2*l = -5*r + 610, -10*r + 14*r + 4*l = 500. Does 8 divide r?
True
Let o be (-10 - 12)/(1/(-2)). Suppose 2*d - 39 = -5*k, 0 = -0*d - 2*d - 4*k + o. Is 20 a factor of d?
False
Suppose 3*n = -9, -5*k + 5*n = -0*n - 25. Suppose -4*d = -3*j + 7, -4*d - 3*j - k*j = -33. Is 246/9 + d/(-6) a multiple of 16?
False
Suppose 0 = 3*x - 5*g - 10, 2*x + 2 = -3*x - g. Suppose 4*c - 2*c + 5*r - 262 = x, -4*r = 3*c - 379. Is c a multiple of 11?
True
Suppose -4*p + 224 = -2220. Suppose -2*x + 0*x - 155 = -u, 0 = 4*u + x - p. Does 17 divide u?
True
Let j(u) = u**3 + 9*u**2 + 3*u + 3. Let q = -23 - -14. Let t be j(q). Is 4 a factor of 1/6 + (-164)/t?
False
Suppose -4*u + 421 = b + 28, -4*u = -b + 393. Is 10 a factor of b?
False
Suppose 2*t = -2*t + 5*z + 864, 0 = -2*t + z + 438. Suppose 0 = 3*i + 181 + t. Let c = -35 - i. Is c a multiple of 26?
False
Let c(b) = b**3 - b**2 + 8*b + 15. Let h(g) = 4*g**3 - 4*g**2 + 33*g + 61. Let u(d) = -9*c(d) + 2*h(d). Is u(-4) a multiple of 13?
True
Let x = 75 + -144. Let f = -33 - x. Is 9 a factor of f?
True
Let d(q) = q**3 - 17*q**2 - 18*q + 3. Let x be d(18). Suppose 18 + 9 = x*f. Does 2 divide f?
False
Suppose 4*a = -13 + 1349. Is a a multiple of 33?
False
Let j(w) = 16*w + 4 + 9*w - 20*w - 20. Does 6 divide j(7)?
False
Suppose -3*m + 197 = j - 606, 5 = j. Let g = m + -131. Is g a multiple of 19?
False
Let m be 6/2 + 10/5. Suppose -m*y + 7*y + 90 = 0. Is 18 a factor of (-7 + 1)/(3/y)?
True
Suppose 4*d + 112 = s, s + 7*d = 5*d + 88. Let p be 4/8 + 25/(-2). Does 20 divide (30/(-4))/(p/s)?
True
Let t(z) be the first derivative of -10*z + 1 + 2 + 27*z**2 - z - 25*z**2. Does 6 divide t(11)?
False
Let j = -1 - -6. Suppose -f = -4*d + 76, -j*d + 95 = -f + 2*f. Suppose 5*s - d = 11. Is 4 a factor of s?
False
Let o(s) = 6*s + 6 - 1 - 5*s. Let n be o(-9). Let g = n - -9. Is 3 a factor of g?
False
Let i = -184 + 259. Let r = i + -50. Is 4 a factor of r?
False
Suppose -5*s + 9 = 4. Let h be (-376)/5 - s/(-5). Is (-4 - (4 - h))/(-1) a multiple of 23?
False
Let a = 86 - 53. Let m(p) = p**3 + 3*p**2 + 3*p + 6. Let i be m(-4). Let s = a + i. Is 11 a factor of s?
True
Is 240*6/(-72)*-15 a multiple of 10?
True
Suppose 2*d - 190 = 4*k, -395 = -5*d - 2*k + 44. Suppose 2*p - 21 = d. Let z = p - 36. Does 5 divide z?
False
Let a = 28 - 20. Let l = 0 - 0. Let t = l + a. Is t a multiple of 8?
True
Let v = -23 - -46. Suppose 5*w = v + 32. Suppose 307 = 6*b - w. Does 13 divide b?
False
Let a(r) = r - 8. Suppose 0 = -0*s - 6*s. Suppose s = -2*p - 4*f + 32, -4*p = p - f - 69. Is a(p) a multiple of 6?
True
Suppose 0 = 7*l - 4*l. Suppose l*r = -5*r + 5. Suppose x = -5*z - 10, -2 = x + 2*z - r. Does 4 divide x?
False
Let n = -23 + 15. Is 1143/12 - 6/n a multiple of 16?
True
Suppose -1015 = -x + 1265. Does 17 divide x?
False
Let b = -108 - -49. Does 48 divide (b - 1)/(50/(-8) - -6)?
True
Let r = 255 - 180. Suppose 0 = -6*k - r + 411. Is k a multiple of 28?
True
Let p = 52 + -14. Let k = p + 40. Does 13 divide k?
True
Let z(n) = 2*n + 4. Let i = -8 - -13. Let w be z(i). Let v = w + 40. Is v a multiple of 11?
False
Suppose -4*d - 700 = -11*d. Suppose -34*t = -38*t + d. Is t a multiple of 8?
False
Let t(g) = -1 + 44*g**3 - 4*g**2 + 5*g**2 + 22*g - 21*g. Is 15 a factor of t(1)?
True
Let w(x) = 11 + 2*x - x + 15 + x. Let c be w(-11). Suppose 15 = 5*t, -3*t = -c*o - 5*t + 22. Is o a multiple of 4?
True
Suppose t + 0*t - 894 = -2*z, 2*t - 1784 = -2*z. Does 10 divide t?
True
Let f = -312 - -372. Is 12 a factor of f?
True
Suppose 3*m - 26 + 11 = 0. Let c be (69/15)/(1/m). Suppose 3*k - c = 19. Does 14 divide k?
True
Let a(m) = m**2 - 1. Let x be a(1). Suppose -10 = -v - x*v. Let k(f) = f**3 - 11*f**2 + 12*f - 11. Is k(v) a multiple of 3?
True
Let b = -69 - -71. Suppose 4*l - 8 = 12. Let i = b + l. Is i a multiple of 3?
False
Suppose 5*r = -2*w, -w = -r - 2*w. Suppose r*o = -5*o + 355. Does 35 divide o?
False
Suppose 36 = -4*v - 0. Let n be (-592)/(-6) + 6/v. Let d = -58 + n. Is d a multiple of 14?
False
Suppose -b + 13 = 4*q - 11, -30 = -2*q - 5*b. Suppose -q*l + 2*i + 2*i + 340 = 0, -4*i - 20 = 0. Does 16 divide l?
True
Let n(s) = 116*s + 35. Is n(1) a multiple of 17?
False
Let p be (-35 - -4 - 5)*(-6)/(-4). Let g = 28 + -40. Is 6 a factor of g/p + 124/9?
False
Let m(r) = -r**2 - 41*r - 42. Does 13 divide m(-31)?
False
Let y(j) = 4*j + 56. Let m be y(17). Let l = 53 + -26. Let p = m - l. Is 25 a factor of p?
False
Let j(p) = 13*p**2 + 4*p + 21. Let f(g) = 3*g**2 + g + 5. Let s(x) = -9*f(x) + 2*j(x). Let h(y) = y**2. Let k(c) = h(c) - s(c). Is k(3) a multiple of 5?
False
Let o = -75 - -282. Does 69 divide o?
True
Let i(k) = -k**2 - 32*k - 240. Does 6 divide i(-13)?
False
Let s(q) be the first derivative of 11*q**2/2 - 48*q - 6. Does 29 divide s(11)?
False
Suppose 50 - 11 = -3*c. Let v = 25 + c. Does 8 divide v?
False
Let q = 11 - 5. Suppose 4*b - 52 + 4 = -2*u, 3*u = -q. Let x = b - -18. Is 11 a factor of x?
False
Let k(h) be the first derivative of 7*h**4/2 - h**3/3 - h**2 + 5*h + 8. Does 18 divide k(2)?
False
Let o = 46 + -27. Let w(b) = -o*b + 22*b + 3 + 20*b. Is w(3) a multiple of 18?
True
Suppose 11*p - 16*p = -35. Suppose -80 = -p*n + 2*n. Is n a multiple of 16?
True
Let h(j) = -j + 1. Suppose 4*l - 24 = -2*l. Suppose 6*q = l*q - 12. Does 4 divide h(q)?
False
Suppose -706*f - 5250 = -711*f. Is f a multiple of 13?
False
Does 20 divide (52 - -2)*((-11)/(-2) - 4)?
False
Suppose -1591 = -10*p + 1209. Is 40 a factor of p?
True
Let b be -3 + (-200)/(-72) + 20/9. Suppose -9*r + 546 = -b*r. Is 13 a factor o
|
{
"pile_set_name": "DM Mathematics"
}
|
. Is t a composite number?
True
Let c(w) = 1625*w**2 + 40*w - 6. Is c(5) prime?
True
Let f = -114923 - -167064. Is f a composite number?
True
Let v = 131 + -130. Is v/(((-1)/(-2053))/(-2 + 3)) a prime number?
True
Let p(z) = -2163*z**3 - 7*z**2 - 18*z - 3. Is p(-4) prime?
True
Suppose -50*v - 4487588 + 18923515 = 203*v. Is v a prime number?
True
Let a be (-582)/24*-1882 + (-2)/4. Suppose 5*j - 4*k - 45165 - a = 0, -90812 = -5*j + k. Is j composite?
True
Suppose x = 5*x + 2*x. Let y(h) = -h - 30. Let i be y(x). Is (-6)/i - 13602/(-15) a composite number?
False
Suppose -2*q - 58 = -10. Let n be (14/(-4))/(6/q). Suppose -n*b + 5*b = -2979. Is b a prime number?
True
Suppose i = -3*r + 37382, -112146 = -3*i - 37*r + 33*r. Is i a composite number?
True
Let n = -386 - -402. Let j(d) = -d**3 + 26*d**2 - 10*d - 7. Is j(n) prime?
True
Let j be (-7 - -6)*(-2 + -3). Is (-3)/(45/4475)*(-8 + j) prime?
False
Let q(v) = v**2 - 3. Let c be (-36)/3 - (-3 - 10/(-2)). Let m be q(c). Suppose -3*h - 3*u - m = -856, 3*h = -u + 667. Is h a composite number?
False
Let l(k) = -k**2 - 2*k + 3. Let f be l(-7). Is 8/(f/(-45788))*1 a composite number?
False
Let a(x) = 113*x**2 - 98*x - 196. Let q be a(-2). Let b(k) = -30*k + 5. Let h be b(5). Let g = q + h. Is g a prime number?
True
Suppose -3*m + 274428 = 2*g - 1270208, -4*g - 514846 = -m. Is m a prime number?
False
Let v(t) = -2*t**2 + 25*t - 5. Suppose 32 = 50*a - 46*a. Is v(a) prime?
True
Let t(p) = 255*p + 27. Let q be t(6). Let h = -109 + q. Let g = h - -1715. Is g prime?
True
Let f = -920 - -3148. Let x be 3/2*(-40)/(-12). Suppose d + f = x*d. Is d a composite number?
False
Let x(a) = 148*a**3 - 17*a**2 + 59*a + 1. Is x(11) composite?
False
Let l(t) = -263*t**2 - 5*t + 5. Let d be l(4). Let b = d + 7294. Let g = 5133 - b. Is g composite?
True
Suppose 6*r = 5*r - 8*r. Suppose r = 6*m - 28584 - 10230. Is m composite?
False
Suppose 5*w = 3*f - 43, -4*f = w - 3 - 16. Let a(i) = i - 6. Let k be a(f). Let v(z) = 7*z + 563. Is v(k) prime?
True
Let k = -10429 + 54540. Is k composite?
False
Is (-1016588)/(-14) + 496/868 a prime number?
False
Let l = -4524997 + 6476516. Is l composite?
True
Is -2*10/(220/(-333223)) composite?
False
Suppose -4*j + j = -2*o + 22, 3*j = 3*o - 27. Let i(h) = -1803*h - 4885. Let x be i(-4). Suppose -5*v = 5*f - 7*f - x, o*v = -f + 2339. Is v a prime number?
True
Let o = 489 + -343. Suppose -5*w + 4*p = -o, 3*w - 13 = -4*p + 49. Is ((-1 - 0) + -3)/((-4)/w) a composite number?
True
Let g = -7756 + 15099. Let a = -3764 + g. Is a a prime number?
False
Let m(v) = -v. Let p(y) = -1537*y - 19. Let s(t) = -6*m(t) + p(t). Is s(-2) a composite number?
True
Suppose -r + 5*s = r - 4745, 0 = 3*r + 2*s - 7165. Suppose -6997 = -2*k + r. Is k a prime number?
True
Let c be ((-50)/(-20) - (-2 - -1))*4. Let r(b) = b**3 - b**2 + 9. Is r(c) a prime number?
True
Let j(g) = g**3 + 24*g**2 - 26*g - 18. Let v be j(-25). Is (3 - v)/(12/(-18141)) a prime number?
True
Suppose -2*k - 10 = 2*s, 0 = -k + 5*s + 7. Let h(j) = -650*j + 23. Is h(k) prime?
True
Suppose 2*z - 16 = 2*j, -2 = 2*j - 3*z + 12. Is -58*(j + -3) - 3 a prime number?
True
Let d(y) = 2*y**2 + 19*y + 13. Let u be d(-9). Let k be 19/(5/(840/u)). Let i = -452 + k. Is i a prime number?
False
Let h(g) be the second derivative of 0 + 1/3*g**3 + 3*g + 499/2*g**2. Is h(0) a composite number?
False
Let g = 0 + -3. Suppose -11 = -3*l - 2*v, 10*v + 13 = -l + 6*v. Is (-3238)/g - (7/3)/l a prime number?
False
Let b be 16438/4 + 8/(96/18). Suppose 0 = -5*d + 2*f + 8564 + 11988, d = f + b. Suppose -8*z + d = -2*z. Is z prime?
False
Suppose -38 = 2*m + 4*g, 0*m + 5*g = 3*m + 112. Let o be m/((-2)/(-9) + (-345)/1431). Is (-1 - 2 - -4)*o composite?
True
Let c = -81841 - -5601. Let n = -33255 - c. Is n a prime number?
False
Suppose -12022 - 584633 = -45*t. Is t prime?
True
Suppose -7*a = -8*a + 12. Is (-2177)/(-1) + (a - 10) composite?
False
Is ((-117)/6)/39*4*(-117628)/8 a composite number?
True
Suppose -q + 16 - 53 = -3*c, 3*c = 9. Is (24/q)/(16/28)*-20542 prime?
False
Let q(j) = 11*j**2 - 7*j - 11. Let l be q(9). Let f(v) = -9*v**3 + 2*v**2 - 6*v + 2. Let m be f(4). Let d = l + m. Is d a prime number?
True
Let h(w) = -w**3 + 16*w**2 + 2*w - 12. Let u be h(16). Suppose 0 = -4*s - g - u, 5*g + 14 + 11 = -5*s. Let j = 18 - s. Is j prime?
True
Suppose 18*c - 8 = 22*c - 2*m, -c + 1 = m. Let y(b) = -22*b**2 - 3*b - 2. Let t be y(-2). Let q = c - t. Is q composite?
False
Is ((-4)/(-12))/((-61)/(-14641281)) prime?
False
Is (32/(-24))/(-6 - 4758104/(-793020)) a composite number?
True
Let c(h) = 40 + 109*h + 325*h + 142*h + 47*h - 6. Is c(3) composite?
True
Suppose 9 = 3*q, -x = -0*x + 5*q - 31. Suppose -72467 = -x*u + 33245. Is u prime?
True
Is 74414/(-19 - -21) + -20 a prime number?
False
Let t = 71 + -71. Suppose -5*x + 30 = 5*j, -4*j - 11 = -t*x - x. Is ((-4718)/x)/(2*-1) a composite number?
False
Let i = 2872 + -779. Let q = i + -1445. Suppose 3*c - q = -5*x, 419 = 2*c - 4*x + 3*x. Is c composite?
False
Let r be (8643/(-134))/((-3)/1484). Let i = 59229 - r. Is i prime?
False
Let k(b) = 3*b + 3*b**2 + 7*b**2 + 2*b**2 - 4*b. Let s be 7 + 1*(-6)/(-5 + 8). Is k(s) a composite number?
True
Suppose 176348 = -519*q + 520*q + u, 3*q - 529039 = 2*u. Is q a prime number?
True
Let l(f) = -70*f**3 - 6*f**2 + 7. Let m(r) = -71*r**3 - 7*r**2 - r + 8. Let j(n) = 6*l(n) - 5*m(n). Let z be 156/429 - 37/11. Is j(z) composite?
False
Suppose 0 = 253*g - 182*g - 20564227. Is g composite?
False
Let d be (-7 - -1)/(-2) - -9699. Let a = -5821 + d. Is a a prime number?
True
Suppose 10 = 16*h - 18*h. Let z be 3/h - 15834/(-65). Let n = z + -56. Is n prime?
False
Let m(r) = -2500*r - 7797. Is m(-68) composite?
True
Suppose -126*n - 368503268 = -275*n - 74786869. Is n a composite number?
False
Suppose -10*p + 12 = -8*p. Suppose 4*t = 5*c - p + 26, 0 = -3*c. Suppose 3*j - 956 = t*s - 3753, 0 = 4*s + 2*j - 2220. Is s prime?
True
Let t(c) = -4*c - 6. Let d be t(1). Let q be (d/(-15))/(4/(-1884)). Let w = q - -601. Is w prime?
False
Let z be (-11)/(55/(-30)) + (-8)/2. Suppose 0 = z*u + 357 - 10879. Is u a composite number?
False
Suppose -60*c = -220392 - 433488. Is c prime?
False
Suppose -24320 = -15*o + 125545. Is o a composite number?
True
Let i(h) = -11*h**3 - 7*h**2 + h + 9. Let n be 3/((-2)/(-10)*(-40)/24). Let k be i(n). Let b = -4309 + k. Is b a prime number?
False
Let d(m) be the second derivative of 59*m**5/20 + 3*m**4/4 - 4*m**3/3 + 7*m**2/2 + 3*m - 8. Is d(3) composite?
False
Let q be (-2 - -12) + -2 - (-1 - -6). Suppose y - 515 = -k - q*k, 0 = -5*y - 3*k + 2660. Is y prime?
False
Let a be 549/(-6)*6/9. Let l = 109 - 124. Let n = l - a. Is n composite?
True
Suppose 15 - 7 = 4*o. Let f be 1 - (-1 + o - -55). Let u = f - -108. Is u a composite number?
False
Let b = -468091 - -816240. Is b a prime number?
True
Let y(x) = 13*x - 42. Let j be y(-13). Let i = -84 - j. Suppose 5*c - i = -d, 5*c + 0*d - 121 = 2*d. Is c a composite number?
True
Let a = -18 - -34. Let l be ((-30)/80)/((-2)/a). Suppose -4*m = -2*n + 1102, l*n + 8*m - 1677 = 6*m. Is n a prime number?
True
Suppose -2*t - 1 = 29. Let x(c) = -13*c - 394 + 197 - 13*c**2 - c**3 + 187. Is x(t) composite?
True
Let u(h) = -2130*h + 22. Let n(i) = -1064*i + 11. Let k(o) = -5*n(o) + 3*u(o). Is k(-1) a composite number?
True
Suppose -3*i - 4*f = -26, 3*f + 16 = 3*i + 5*f. Suppose -r + 4*r = -i*s + 1, 3*r = 2*s + 17. Suppose -r*h + 102 = -531. Is h composite?
False
Suppose -18*m + 13*m = -595. Let y = m + -101. Is (-16)/(-72) + 18158/y composite?
False
Let k(l) = 2728*l + 367. Is k(25) prime?
True
Suppose 5*k - 43*x - 3237385 = -22*x, -k + 647477 = 5*x. Is k a composite number?
False
Suppose 10*v - 6929 = 6*v - k, 4*k - 1721 = -v. Is v a composite number?
False
Let m(n) = 74374*n - 1513. Is m(10) a prime number?
False
Let u(b) = 233*b**2 + 8*b + 15. Let r be u(-7). Suppose 1269 + r = 5*q. Suppose 3*j = -4*k + q, 5*k - 2*j - 3160 = -7*j. Is k prime?
False
Suppose -2*k + f + 11 = 0, -f - 69 = -66. Is -307*(-6 + 7 - k) a composite number?
True
Is (1/(-2))/(-9 + ((-71218845)/879246)/(-9)) prime?
True
Let a(w) = 8 - 7 - 2538*w + 0. Is a(-2) a composite number?
False
Let j be (2/(-4) - -1) + 12/8. Let o be j + (-5)/2 + 25/10. Suppose -3*w - 2*f = -5*w + 170,
|
{
"pile_set_name": "DM Mathematics"
}
|
20. Is d composite?
False
Let l(c) = c**3 + 8*c**2 - 7*c - 1. Is l(-7) composite?
False
Let g(b) = -b**3 - 2*b + 2*b - 4*b**2 + 7*b + 6. Let x be g(-6). Suppose -k = -q + x, q = -5*k + k + 31. Is q a composite number?
True
Let p(z) = -98*z**3 - 10*z**2 - z + 3. Is p(-2) a prime number?
False
Suppose 8*s - 15 = 5*s. Suppose -113 = -s*u + 4*u. Is u prime?
True
Let c(m) = -3*m - 8. Let n be c(-7). Let d = -22 + n. Let a = 19 + d. Is a a prime number?
False
Let u = -4 - -2. Let b be 2 + 104 + -2 + u. Let d = b - 53. Is d a composite number?
True
Let v be 246/(-78) + (-2)/(-13). Let f = 7 - v. Suppose m = f + 47. Is m composite?
True
Let w be (8/(-10))/(4/(-30)). Let s(l) = 17*l + 4. Is s(w) a composite number?
True
Is (4 - 0)*-1 + 78 a composite number?
True
Let p = -2 - 1. Is p*8/(-12) + 141 composite?
True
Let k = -202 - -759. Is k composite?
False
Let x(v) be the third derivative of v**5/30 + v**4/12 - v**3/6 + v**2. Is x(4) a composite number?
True
Suppose -u = 2*w + 4*u - 17, 0 = 5*w + 2*u + 10. Let n = 569 + w. Is n composite?
True
Suppose -2*f + 0*q = 2*q - 22, -q = -3*f + 17. Suppose -70 = f*w - 9*w. Is w prime?
False
Suppose 4*m - 518 = f + 2*f, -m - 327 = 2*f. Let g = -51 - f. Is g a prime number?
False
Let v(s) be the second derivative of -s + 9/2*s**3 + 0 + 1/2*s**2. Is v(2) a prime number?
False
Suppose -4*a = -9*a + 4595. Is a prime?
True
Let r = 8024 + -2893. Is r composite?
True
Suppose -4*l - 3439 = -2*r - 3*r, -4*l + 3*r - 3433 = 0. Is (-3)/(-9) - l/6 composite?
True
Let h(s) = -s**2 + 4. Let c be h(0). Suppose -4*i - 904 = -c*y, -i + y - 234 = -4*y. Let l = i + 319. Is l composite?
True
Let u(r) = -4*r**2 + 10*r - 9. Let h be u(6). Is (2/2)/((-3)/h) a composite number?
False
Let m = -9 + 40. Is m a prime number?
True
Let r(w) = w**3 - 12*w**2 + 25*w - 13. Is r(10) composite?
False
Let h = 8 - 11. Let a be h/(-6) + 38/(-4). Is (-2)/(-6) + (-51)/a composite?
True
Suppose -4*s - 3*d = 204, d + 2*d = -5*s - 255. Let r be (-20)/70 - 96/7. Let m = r - s. Is m composite?
False
Suppose 30*d = 23*d + 5131. Is d a prime number?
True
Let o(u) = -41*u**2 - 4*u + 3. Let p be o(2). Let s = p - -448. Suppose s = 5*a - 106. Is a a composite number?
True
Let y(x) = -10*x + 11. Let c be y(8). Let n = 59 - 93. Let w = n - c. Is w composite?
True
Let y(h) = -51*h + 13. Let u(c) = -26*c + 7. Let q(a) = 11*u(a) - 6*y(a). Is q(4) composite?
False
Suppose 3*z + 152 = z. Let m = z - -129. Is m a prime number?
True
Let s = 5 - 3. Suppose -534 = l + s*l. Is 1/(-4) + l/(-8) a composite number?
True
Let h(n) = -3*n + 6. Let m(q) = -4*q + 5. Let g(j) = -3*h(j) + 4*m(j). Is g(-5) prime?
True
Let n(j) be the second derivative of j**5/20 + j**4/12 - j**3/2 + 3*j**2/2 + 2*j. Let p be n(3). Let c = 77 - p. Is c composite?
False
Let u(m) = 51*m + 1. Is u(6) composite?
False
Let i = 420 + -262. Is i composite?
True
Let d(r) = r + 7*r**3 - 5*r**3 + r**2 - 6*r**2 + 3. Is d(5) a prime number?
False
Suppose -5*b + 29 = -1. Suppose n - 2*s + b*s = 99, 3*s + 154 = 2*n. Is n prime?
True
Let l = 3686 - 1075. Is l a composite number?
True
Let c(z) = z**3 - z**2 - z - 1. Let w(i) = -5*i**3 + 18*i**2 + 21*i + 9. Let m(g) = 6*c(g) + w(g). Is m(-10) prime?
True
Suppose 0*f - 2*f = 0. Suppose -3*c + 7 = -4*o, -5*o + c + 5 = -f*o. Suppose -o*g = -74 - 104. Is g prime?
True
Let n be (3/(-5))/((-5)/25). Suppose -2*q + 5*c + 16 = 2*q, -n*c = 5*q - 20. Suppose -5 = -q*k + 143. Is k prime?
True
Let j(p) = -7*p**3 - 10*p - 1. Is j(-4) composite?
False
Let l(j) = -106*j**3 - 2*j**2 - 2*j - 1. Let r be l(-1). Suppose -3*x + 3*s = -0*s - r, -101 = -3*x + 2*s. Is x composite?
False
Let o(g) = 12*g**2 + g + 3. Suppose c = 5*x + 21, -5*c - 4*x + 3*x = 25. Is o(c) a prime number?
True
Suppose 0 = -c + t + 2, c + 5*t = -0 + 2. Let d = 0 + c. Is 19 + d + -2 + 0 a composite number?
False
Let r = -28 + 79. Suppose -5*y - 255 = -75. Let m = y + r. Is m a prime number?
False
Let r = 307 + 970. Is r composite?
False
Suppose 0 = -3*d + 4*d - 12. Let w = 43 + d. Is w a composite number?
True
Let q be ((-37)/3)/((-2)/12). Suppose 2*a + 115 = 7*a. Let r = q - a. Is r prime?
False
Suppose 4*g = -5*q + 1263, 2*q - g - 751 = -q. Is q prime?
True
Let t = 134 - -1017. Is t a composite number?
False
Suppose -h = -2*h + 3*y - 21, 94 = -4*h + 2*y. Let x(u) = u**3 - u**2 + u + 43. Let k be x(0). Let m = h + k. Is m composite?
False
Suppose 0 = -3*d + d + 6. Is (-6820)/(-77) + d/7 a prime number?
True
Suppose -4*k - 6*x = -3*x - 3556, 0 = 4*x. Is k composite?
True
Suppose 0*z = -z - 3*s + 124, 0 = -2*z - s + 253. Is z prime?
True
Is 2761/9 - (0 + 8/(-36)) prime?
True
Is (-221)/(-34)*4*1 a prime number?
False
Suppose -2*g + 5*r = g - 29, 2*g - 2*r = 18. Suppose 0 = -2*p - 2*p + g. Suppose -p*z = -82 - 180. Is z a prime number?
True
Let u be (-12 + 3)/(2/(-18)). Let r = u - 38. Is r prime?
True
Suppose -4*g = -3*c - 19, -2*c - 1 = 4*g + 5. Let i(f) = 76*f**2 + 1. Is i(g) composite?
True
Let m(k) = 18*k**3 + k - 1. Let c be m(1). Let r = -27 - -16. Let w = r + c. Is w a prime number?
True
Let y = 10 - 5. Suppose -2*l = -2*j + 5*j - 40, -5*j = -y*l + 125. Is l prime?
True
Suppose 5*r - 3*v - 2411 = 0, -v = -5*r - 3*v + 2401. Is r composite?
True
Let c be 404/(-10) - (-4)/10. Let x(k) = 6*k**2 + k + 2. Let p be x(3). Let r = c + p. Is r composite?
False
Suppose -894 = -7*p + p. Is p prime?
True
Suppose 2 - 66 = -4*j. Suppose n - j = -3*n. Is (388/(-16))/((-1)/n) a prime number?
True
Suppose -2*v + 182 = 5*j, 8*v + 2*j = 3*v + 455. Let w = v - 4. Is w a composite number?
True
Is 2/8*8980/5 composite?
False
Let n(i) = -6*i - 5. Let q(p) = 2*p. Let o be q(-2). Is n(o) composite?
False
Let z(m) = 4*m**2 - 17*m + 14. Is z(-9) composite?
False
Suppose 0 = -n - 4*y + 113, 0*n - 3*n = 2*y - 339. Is n a prime number?
True
Is (-1949)/((-3 + 4)*-1) a prime number?
True
Let t = -679 - -407. Let l = t + 507. Is l a composite number?
True
Let s(d) = d**3 - 2*d**2 + d + 11. Is s(5) a prime number?
False
Suppose 2*w - 14 = 3*s + 6, 3*s = 3*w - 24. Is (-110)/(-3) - w/(-12) prime?
True
Suppose -w = -1224 - 937. Is w prime?
True
Suppose -3*s = 2*s. Is 35/1 + -2 + s prime?
False
Let a be 4*((-10)/4 - -3). Suppose a*n - 4*n = -98. Is n prime?
False
Let f(y) = 394*y + 7. Let p(z) = 197*z + 3. Let b(x) = 4*f(x) - 9*p(x). Let c be b(-2). Suppose -3*j = 2*j - c. Is j prime?
True
Suppose 0 = -p - 3*p + 456. Is p - (-4 - (4 - 11)) prime?
False
Let l(x) = x**3 - 22*x**2 + 28*x - 41. Is l(21) prime?
False
Let w = -1 + 1. Suppose -5*n + w*p - 355 = 2*p, -p = 2*n + 141. Let k = n + 228. Is k composite?
True
Let u be 4/((-206)/(-102) - 2). Let l = u - 121. Is l a composite number?
False
Let i be (-1 - (-1 - 0))/1. Suppose i = u + 3*u + 24. Is (-292)/u + 2/6 composite?
True
Let g = 1019 + -1465. Let s = -81 - g. Is s a prime number?
False
Let r = 411 + 4762. Is r composite?
True
Let o(i) = 12*i - 5. Suppose 4*z - 12 = 12. Is o(z) prime?
True
Let t = 10 - 7. Suppose a + t = 4*u - 5, -5*a + 32 = 4*u. Suppose -u*j - 4*s = -327, 2*j - 128 = j + 5*s. Is j a composite number?
False
Let a = -15 + 18. Suppose 286 = -x + a*x. Is x a prime number?
False
Suppose -846 = -4*q + 2*a, 0 = 2*q - 4*q + 3*a + 425. Is q prime?
True
Let d be (0/(-2))/(1/1). Suppose d = 3*c - 5*c + 742. Is c a composite number?
True
Let d(r) = 3*r**3 - 10*r**2 + 6*r - 8. Let v be d(7). Let k = -306 + v. Is k prime?
False
Suppose m - 2*m - s + 117 = 0, 0 = -4*m + 5*s + 495. Let g = -123 - -52. Let u = m + g. Is u prime?
False
Let u(g) = -19*g**2 - 3 + g + 3. Let f be u(-4). Is (f/8)/(2/(-4)) a prime number?
False
Let g = -2164 - -3041. Is g composite?
False
Suppose 76 = z - 83. Let k = 242 - z. Is k a prime number?
True
Suppose 3*r - 888 = -3*a, -4*r + 3*a = -2*a - 1175. Is r a composite number?
True
Suppose -30 = 5*b + 5*u, 0*b - 14 = 5*b - 3*u. Let d be (b/10)/(1/(-10)). Suppose -4*i + 1 = -t + 7, -2*t + 60 = d*i. Is t a composite number?
True
Suppose 2*r + 802 = 2*x, 2*x + r - 2*r - 804 = 0. Is x a prime number?
False
Let d = 227 + -46. Suppose 4*y - d = w, -4*w + 200 = 4*y + 4. Suppose -c + y = v, -83 = 4*c - 6*c - 5*v. Is c a prime number?
False
Suppose -22 = -4*z - 2. Let d(w) = w**2 + 4*w**2 + 11*w + 7 - 6*w**2. Is d(z) a composite number?
False
Let b be 4/(-6) + 40/15. Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
9*u wrt t?
-2246*t*u - 996*t + u + 1
Find the second derivative of m**2*q**3 - 553951*m**2*q**2 - 47*m*q**3 - 30*m*q**2 - 50*m*q - 2*q**3 - 1 wrt m.
2*q**3 - 1107902*q**2
What is the third derivative of 9886485*x**5 - 429*x**2 - 1911?
593189100*x**2
Find the third derivative of -v**5 + 48*v**4 + 195928*v**3 - 6*v**2 + 10*v - 125054 wrt v.
-60*v**2 + 1152*v + 1175568
Find the second derivative of -142184*u**3 + 47*u**2 - 11311*u - 108 wrt u.
-853104*u + 94
What is the third derivative of -126*v**4 - 788915*v**3 - 194569343*v**2 wrt v?
-3024*v - 4733490
What is the third derivative of 5122359*n*u**3 + 214*n*u**2 + n*u - 657*n - 2*u**2 wrt u?
30734154*n
Find the second derivative of 191454071*h**5 + 77682087*h wrt h.
3829081420*h**3
What is the second derivative of -656384275*i**2 + 278992497*i?
-1312768550
What is the second derivative of 58042730*z**3 - 66530828*z?
348256380*z
Find the first derivative of 79553856*o**3 - 10426645.
238661568*o**2
Find the second derivative of 997299946*c**3 + 260851229*c.
5983799676*c
What is the second derivative of -35600133*n*o**3 - 200*n*o - 900*n + o**4 + o**2 - 107*o wrt o?
-213600798*n*o + 12*o**2 + 2
Find the second derivative of 9462658*k**2*v**2 + 6*k*v - 371848*k + v**2 + 21*v wrt k.
18925316*v**2
Find the third derivative of 7906607*r**6 + 5780914*r**2.
948792840*r**3
What is the second derivative of 120004826*g**4 + 181557678*g?
1440057912*g**2
Find the second derivative of 177580*n**2 + 1866*n - 210.
355160
What is the third derivative of 621190996*h**4 + 469003570*h**2 wrt h?
14908583904*h
Find the third derivative of 498516*g**4*n - 4*g**3*n - 10*g**3*o**2 + 7230*g**2*n*o**2 + 4402*g*n*o**2 + g*o**2 wrt g.
11964384*g*n - 24*n - 60*o**2
Find the second derivative of -19841491*g**2 - 294712*g - 4.
-39682982
Find the second derivative of 303709169*b**2 - 1063294*b + 55 wrt b.
607418338
What is the third derivative of -428883667*j**3 - 618*j**2 - 148242*j?
-2573302002
What is the second derivative of 4083*j**3*n**3 - 24*j**2*n**2 - 157*j*n**3 + 2*j*n - 51*j - 32*n**3 wrt j?
24498*j*n**3 - 48*n**2
What is the third derivative of 88889332*h**3 + 114858396*h**2 wrt h?
533335992
What is the second derivative of 68959*x**4 - 94*x**2 - 103*x + 38188 wrt x?
827508*x**2 - 188
Find the third derivative of -9585*f**5*u - 51*f**3*u - 51*f**3 + 2*f**2*u - 587988*u wrt f.
-575100*f**2*u - 306*u - 306
What is the second derivative of 68000*u**5 + 29*u**3 + 19387*u - 98 wrt u?
1360000*u**3 + 174*u
What is the first derivative of 397*r*x**2 + 9636*r*x + 23334912*r + 2 wrt x?
794*r*x + 9636*r
What is the third derivative of 131*d*t**3 + 8329174*d*t**2 - 2*d*t + 22170*t**6 wrt t?
786*d + 2660400*t**3
What is the third derivative of -37163985*q**2*w**3 - 2*q**2 + 2*q*w**6 + 326692337*q*w**2 wrt w?
-222983910*q**2 + 240*q*w**3
What is the first derivative of 2*q**3 + 109*q*v**2 - 26068*q + v**2 + 45*v + 17812 wrt q?
6*q**2 + 109*v**2 - 26068
Differentiate -11215841*x + 427936314 with respect to x.
-11215841
Find the first derivative of 7887487*m - 6308451.
7887487
Differentiate -964993504*g**2 + 747625629 with respect to g.
-1929987008*g
What is the first derivative of -5*b*d - 887585*b - 1991*d - 29968 wrt b?
-5*d - 887585
Find the third derivative of p**6 + 809074*p**5 - 493800*p**2 wrt p.
120*p**3 + 48544440*p**2
What is the first derivative of 3*j**2*z + 21827*j*z - 35*j - 4*z + 14573213 wrt j?
6*j*z + 21827*z - 35
What is the second derivative of -18134137*r**5 + 16163065*r wrt r?
-362682740*r**3
What is the first derivative of 24648*a**4 + 174*a**3 - a**2 + 12939454 wrt a?
98592*a**3 + 522*a**2 - 2*a
What is the third derivative of -998*j**4 - 834*j**3 + 68*j**2 - 6787*j wrt j?
-23952*j - 5004
Differentiate q**2*y**2 + 5477890*q**2*y + 2421619*q**2 - q with respect to y.
2*q**2*y + 5477890*q**2
Find the third derivative of -27*s**6 - 225331*s**5 - 13065760*s**2 wrt s.
-3240*s**3 - 13519860*s**2
Find the third derivative of -19*c**5 - 120052*c**4 - 12*c**3 - 63013857*c**2 - 2*c + 1 wrt c.
-1140*c**2 - 2881248*c - 72
What is the second derivative of -3*r**4 - 2505*r**3 - 560*r**2 - 110781816*r wrt r?
-36*r**2 - 15030*r - 1120
What is the second derivative of 2585580*r**2*t - 1181300*r*t - 3*r wrt r?
5171160*t
What is the third derivative of -21155742*x**6 + 6683*x**2 + 133*x + 2 wrt x?
-2538689040*x**3
Find the third derivative of 4473943*p**3*u**3 + 2265697*p**3*u**2 - 2*u**5 + 3*u**2 wrt u.
26843658*p**3 - 120*u**2
What is the second derivative of 9334766*p**2 + p + 1739410 wrt p?
18669532
Find the second derivative of 28*l**5 - 1168302*l**4 + 2*l - 10849161.
560*l**3 - 14019624*l**2
What is the third derivative of -24259901*m**3 - 72588825*m**2 wrt m?
-145559406
Differentiate 92919*p**2 + 2643*p + 289230944 with respect to p.
185838*p + 2643
Find the third derivative of -9*m**6 + 29076*m**4 - 2*m**3 - 5664642*m**2 wrt m.
-1080*m**3 + 697824*m - 12
What is the second derivative of 5*r**2*s**3*w - 40331120*r**2*w + 4*r*s**3 - 316616*s**3 + 2*w wrt r?
10*s**3*w - 80662240*w
Differentiate 50*r*s**2 + 28*r*s + 509*r + 212*s**2 - 2*s + 567 wrt s.
100*r*s + 28*r + 424*s - 2
Differentiate -7438946*d*g*v**2 + 7*d*v**2 + 2*d*v - 2*d + 1079*v - 25 wrt g.
-7438946*d*v**2
What is the second derivative of -7695*m**3 + 925*m**2 + 31*m + 2913 wrt m?
-46170*m + 1850
Find the second derivative of 13593854*u**2 + 2584*u + 18089.
27187708
Find the second derivative of 259898985*k**4 - 190086675*k + 2.
3118787820*k**2
Find the third derivative of -17884631*g**3 - 2*g**2 - 48070635*g.
-107307786
Find the third derivative of 12*o**5 + 109581*o**4 + 235979*o**2 - 3*o + 3 wrt o.
720*o**2 + 2629944*o
Find the third derivative of -37250133*m**4 - 2*m**2 + 6*m - 70969 wrt m.
-894003192*m
What is the third derivative of 18330692*c**3 + 58195*c**2 + c - 15 wrt c?
109984152
Find the second derivative of 22*f**5*o - 220887*f**2*o**2 + f*o**2 - 1194302*f - o wrt f.
440*f**3*o - 441774*o**2
What is the second derivative of p**2*r**2 - p**2*r + 6759734*p**2 - 1403*p*r**2 - 3235*r**2 wrt p?
2*r**2 - 2*r + 13519468
What is the third derivative of -566151774*i**3 + 39*i**2 - 483*i + 1612?
-3396910644
Find the third derivative of -777*f**2*m*t**3 - 2*f**2*m*t - 11*f**2*t**3 - 3*f**2*t**2 + 6*f*m*t**2 + 343*f*t**2 - 4*m*t**2 + 2*t**3 wrt t.
-4662*f**2*m - 66*f**2 + 12
Differentiate 11911*f*s*z - 5*f*s - 31525*f + 24*s**2*z - 2*s**2 - 5*z - 71 wrt s.
11911*f*z - 5*f + 48*s*z - 4*s
Differentiate -2*v**2 - 28442789*v - 8774428 wrt v.
-4*v - 28442789
What is the third derivative of -8118*s**5 - 2*s**4 + 455*s**3 + 25693501*s**2?
-487080*s**2 - 48*s + 2730
Find the second derivative of 17568*a*q**2 - 761*a*q + a + 2203*q**5 - 487*q - 2 wrt q.
35136*a + 44060*q**3
Differentiate -516434850*m**3 + 90191028.
-1549304550*m**2
What is the second derivative of -410853722*z**2 - 120*z + 805461 wrt z?
-821707444
Find the first derivative of 8781107*w + 17292686 wrt w.
8781107
Find the second derivative of -2*n**3*q + 5156*n**3 + 1102*n**2*q + 107578*n*q - n + 11*q + 6 wrt n.
-12*n*q + 30936*n + 2204*q
What is the second derivative of 592192472*f**4 + 452615*f - 47 wrt f?
7106309664*f**2
Find the third derivative of -618728*x**4 - 40*x**3 + 141*x**2 + 93246*x.
-14849472*x - 240
Differentiate 152*b*o**2 + 15967*b*o + b - 8960*o**2 - 40 with respect to b.
152*o**2 + 15967*o + 1
Find the first derivative of -11148883*l*n**2*z**2 + 2*l*n**2*z - n**2*z - n*z**2 - 508814*z**2 wrt l.
-11148883*n**2*z**2 + 2*n**2*z
What is the second derivative of 337169*n**2*t**4 + 2*n**2*t + 67*n*t**4 - n*t + 74678672 wrt t?
4046028*n**2*t**2 + 804*n*t**2
Find the third derivative of 298543*o**6 - 21*o**3 + 572408826*o**2 wrt o.
35825160*o**3 - 126
Differentiate 4*z**2 + 1056974*z + 11904650.
8*z + 1056974
Find the second derivative of -11331060*m**2 - 132*m - 19910 wrt m.
-22662120
Find the second derivative of -81265*j**2*v + 40*j**2 + 178042*j*v + 9*j - 9 wrt j.
-162530*v + 80
Find the third derivative of 444469476*l**3 - l**2 - 365732*l - 19 wrt l.
2666816856
What is the second derivative of 7718745*j**2*k**3 - 6*j**2*k - 88*j**2 - 5*j*k**3 - j*k - j - 92*k + 2 wrt k?
46312470*j**2*k - 30*j*k
What is the third derivative of -3038794*k**5 + k**4 + k**3 - 126724591*k**2?
-182327640*
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*i - 7 - 5. Let z = 0.2 - 0.3. What is the biggest value in -5, i, z?
z
Suppose -18*h = -20*h - 14. Which is the second biggest value? (a) -2 (b) 2 (c) h
a
Let v = 0.07 + 1.93. What is the second smallest value in 5, 0.2, v?
v
Let y = 3 - 1. Let s = -12 - -7.6. Let k = 4 + s. Which is the second biggest value? (a) -1/8 (b) y (c) k
a
Let f = 13.05 + -0.05. Let p = 13.3 - f. Which is the second biggest value? (a) p (b) 5 (c) -3
a
Let w = 28 - 21.6. Let t = w - 6. Let x(y) = -y - 15. Let l be x(-11). Which is the second smallest value? (a) l (b) 4 (c) t
c
Let w be ((-6)/(-2))/((-15)/20). Which is the biggest value? (a) 2 (b) w (c) 0
a
Suppose -3*n - 12 = -4*n. Which is the fourth smallest value? (a) 1/4 (b) -2/11 (c) n (d) -0.1
c
Let x(h) = -2*h + 4. Let r be x(4). Let g be 2/4*(-6)/(-15). Which is the second biggest value? (a) -1/5 (b) r (c) g
a
Let n(u) = u**2 + 9*u - 18. Let v be n(-11). Which is the second biggest value? (a) 1 (b) v (c) 8
b
Let i(a) be the second derivative of -a**3/3 - 2*a**2 + 3*a. Let h be i(-5). Let q be (2*h/(-8))/3. What is the third smallest value in -1, -6/7, q?
q
Let i = -41.6 - -46.59. Let a = i - -0.01. What is the second smallest value in -0.3, a, -2?
-0.3
Let x = 566/7 + -81. What is the second smallest value in x, 5, -1/6?
x
Let z = 127/4 + -32. Let s = 611/10 + -121/2. What is the third biggest value in s, z, 1/8?
z
Let f = 7.4 + 1.6. Let q = -8.5 + f. What is the biggest value in -4, -2, q?
q
Let x = 1 - 1.2. What is the third biggest value in x, 1/2, -1/2?
-1/2
Let g = 4.16 - 0.16. Which is the second biggest value? (a) 3/2 (b) 1/3 (c) g
a
Let t be (-1)/(-2)*(5 - (-2 - -7)). Let p(r) = r**3 - 2*r**2 - 7*r + 6. Let w be p(4). Let f be 2/(-1)*3/w. What is the third smallest value in -3, f, t?
t
Let d = -5/2 - -19/6. Which is the biggest value? (a) -2 (b) d (c) 4
c
Let s = 337 + -336.9. Let r = 1 + 2. Which is the third biggest value? (a) r (b) -1/4 (c) s
b
Let y = 15 + -12. Let d = 0.1 - -6.9. Which is the second smallest value? (a) d (b) 0.5 (c) y
c
Let v = 0.6 - -1.4. Let z be 28/6 + (-1)/(-3). What is the biggest value in v, z, 0.4?
z
Let v = -16 - -13.2. Let f = -0.2 + v. Let h be (2 + -4)*3/3. Which is the third smallest value? (a) h (b) 3 (c) f
b
Let s(z) = -2*z + 10. Let b be s(6). Let p be 3*6/15 + -2. What is the smallest value in b, 2/3, p?
b
Let r = 0 + 0.2. Let k = 0.8 - 1.1. Let q = k - -0.1. What is the third biggest value in r, 0, q?
q
Let d = -7 + 6. Let k = -195/1802 + -1/106. Which is the second biggest value? (a) d (b) k (c) 5
b
Let x = -12/25 - 51/50. Which is the third biggest value? (a) 6/7 (b) x (c) -0.4
b
Let y = 0.9 + -1.4. What is the smallest value in -1, y, 2/3?
-1
Let d = -53.9 + 58. Let a = 0.1 - d. Let h = -0.3 + 0.1. What is the second biggest value in a, 0.3, h?
h
Let a = -8 - -18. Let g = -74.3 + 84. Let f = a - g. What is the second smallest value in 0, f, -4/7?
0
Let n = 15 - 8. Which is the smallest value? (a) 1 (b) 0.3 (c) n
b
Let k = -18 - -22. Which is the third biggest value? (a) 8 (b) k (c) -1 (d) 1
d
Let a = -0.3 + 0.9. What is the third smallest value in a, -4, -1/5?
a
Let l = 15 + -16.3. Let r = -0.9 - l. What is the third biggest value in r, -3, 2/23?
-3
Suppose -2*f + 69 = 17. Let o be f/42 + 4/(-12). What is the third smallest value in 2/5, 3, o?
3
Let f = -1/3 - -11/6. Which is the biggest value? (a) -1/2 (b) f (c) 0.3
b
Let t = -10.4 + 14.7. Let l = -4 + t. What is the third smallest value in l, -0.3, 3?
3
Let z = 26.6 + -24. Let r = z + -1.6. What is the third biggest value in r, -2, -0.5?
-2
Let q be 350/(-85) - 4/(-34). Which is the biggest value? (a) 1/2 (b) 2 (c) 1 (d) q
b
Let u be (-1*(-1)/(-7))/((-25)/75). What is the third smallest value in 0.1, u, 10/3, 2?
2
Let a(w) = 5*w. Let x be a(-9). Let o = -677/15 - x. What is the third smallest value in -0.4, -0.5, o?
o
Let g = 0.1 + -0.1. Let p = -0.5 - g. Suppose -10 = 4*x - 2*s - 0, x - 15 = 4*s. Which is the second smallest value? (a) -1 (b) p (c) x
a
Let j(s) = -17*s + 64. Let q be j(0). Which is the smallest value? (a) q (b) 0 (c) 2
b
Let i = 77 + -73. Which is the third biggest value? (a) 8 (b) i (c) 1/3
c
Let j(z) = z**3 - 15*z**2 - 16*z - 3. Let d be j(16). Which is the third biggest value? (a) d (b) 3 (c) 0.5
a
Suppose u + 7*r = 4*r + 30, -u - 2*r + 25 = 0. Suppose 14*k - 9*k = -u. Which is the third smallest value? (a) -1 (b) k (c) 0.4
c
Let d = 0.05 + 0.55. Let n = d + -0.8. Which is the second smallest value? (a) n (b) 0.5 (c) 5
b
Let z = 154 + -152. Which is the fourth smallest value? (a) -3 (b) z (c) -3/4 (d) -5
b
Let i = 70 - 67. Let m be 1 + 0 - 0 - 0. Let q = 4.1 - 0.1. Which is the smallest value? (a) i (b) m (c) q
b
Let q = 0 - -3. Let c = 0.04 - 0.1. Let p = -0.44 + c. What is the third biggest value in -2/5, p, q?
p
Let f be -7 + 10 - (-6)/3. Which is the biggest value? (a) f (b) -5/7 (c) -1
a
Suppose -5*g = -4*t - 31, -23 + 7 = t - 4*g. Let f be ((-212)/8)/(1/4). Let j = f + 743/7. Which is the smallest value? (a) -1/2 (b) t (c) j
b
Let x = -0.37 + 0.07. Let s = 0.2 - -0.4. Let a = s + -1. What is the smallest value in a, x, -2/7?
a
Let f = -3.055 + 0.055. What is the third smallest value in 1/9, 1/8, f?
1/8
Let m = 12 - 20. Let q = m + 7.8. Which is the biggest value? (a) q (b) 3 (c) 1/7
b
Let m = -7/8 - -13/24. Let l = -4 + 1. Let w be (-2)/l + (-69)/90. Which is the third biggest value? (a) w (b) 0.4 (c) m
c
Let j = 157/30 + -23/6. Let k be 4/(-10)*(-5)/(-3). Let u = 0.06 - 2.06. What is the third smallest value in j, u, k?
j
Suppose -16*i - 12 = -19*i. Which is the smallest value? (a) 3 (b) -1 (c) -5 (d) i
c
Let q be 1 - (-5)/((-5)/(-2)). What is the third biggest value in q, 5, -3?
-3
Let k = -1.6 - -2. Let i = -1 - 3.2. Let p = 0.2 + i. What is the third smallest value in k, 5, p?
5
Let h be (-2)/5 + (-1)/(-15)*9. Let a be 2*2*1/(-26). What is the third smallest value in h, a, 2?
2
Let c = -3.2 - -3.3. What is the third smallest value in c, -2/9, -5?
c
Let a = -3 - -1. Let w = -4.4 + 1.4. What is the biggest value in 3, w, a?
3
Suppose 3*i + i = -5*v - 15, 9 = -3*v + 4*i. Let q(j) = -2*j**2 - 3*j + 4. Let u be q(v). Which is the biggest value? (a) u (b) 2 (c) 5/4
b
Let r = 4 - 3. Let m = 2.7 - 2.6. What is the second smallest value in r, -0.2, m?
m
Suppose -5*i + v = 10, -i + v + 2 - 8 = 0. What is the biggest value in i, -0.02, 1/2?
1/2
Let x(a) = -2*a**2 - a + 2. Let g be x(-3). Let k be (-9)/(-15) - g/(-30). What is the third smallest value in -0.2, k, 0.2?
0.2
Let a = -0.418 - -0.018. What is the fourth smallest value in a, -2/7, 3, 2/15?
3
Let t be ((-3)/(-10))/(20/(-25)). What is the second smallest value in 0, 4, t?
0
Let j = -2 - 1. What is the third biggest value in j, -2, -2/7?
j
Let g(z) = z**2 - 6*z + 4. Let p be g(4). Let o = 0.16 - 3.16. What is the biggest value in p, o, 5?
5
Let g be (3 + (1 - 0))*2/(-36). What is the second biggest value in g, 0.4, -4, 0.3?
0.3
Suppose 0 = 4*v - 3*v + 4*s - 2, s - 1 = 0. Let x = 1 + v. What is the second smallest value in 1/7, x, -4?
x
Let h = -8089/4 - -2049. Let i = h - 27. Suppose -2*b + 3*n + 15 = 0, 0*n - 2*n + 3 = 3*b. What is the smallest value in 5, b, i?
i
Suppose -3*x - 5*l + 22 = -0*l, 10 = 2*l. Which is the third smallest value? (a) 19 (b) -1/5 (c) x
a
Let l be (7 - -1)*6/12. Suppose 2*w = -2*q + 4, 2*w + 5*q - 2*q = l. Let z be 3*w/(-4)*-2. What is the third biggest value in -1/3, z, -3/2?
-3/2
Suppose -3*p = 9 - 54. Let q = p + -17. Which is the third smallest value? (a) -1 (b) q (c) -1/4
c
Let d be ((-2 - 0) + 1)*5. Which is the biggest value? (a) d (b) 2/7 (c) -1
b
Suppose 0 = i + 2*s - 4, i = 5*s - 4*s - 5. Which is the second smallest value? (a) i (b) -0.5 (c) -0.4
b
Let d(i) = i**2 - 4*i - 15. Let r be d(7). What is the second smallest value in r, -2, 2/7, 4?
2/7
Let p = -0.23 - 10.77. Let r = p - -7. Which is the second smallest value? (a) 0.1 (b) r (c) -3/4
c
Let r be ((-15)/10)/((-2)/4). Suppose -r*o + 4 = -2*j, 2 - 6 = 3*o + 2*j. Which is the biggest value? (a) o (b) -0.2 (c) 3/7
c
Let t(w) = -22*w - 2. Let r be t(6). Let k = 533/4 + r. Let v = -0.3 + 0.2. Which is the smallest valu
|
{
"pile_set_name": "DM Mathematics"
}
|
-22.
39
Divide -5377 by 6.
-5377/6
Divide -272 by 17.
-16
What is -336 divided by -56?
6
25546 divided by 1
25546
What is 0 divided by -15?
0
Divide -202 by 2.
-101
What is 52 divided by -16?
-13/4
Calculate -19 divided by 4.
-19/4
What is 524 divided by -27?
-524/27
5709 divided by 11
519
97 divided by -97
-1
Divide -3 by 114.
-1/38
What is -2075 divided by 3?
-2075/3
Calculate -12 divided by -72.
1/6
Calculate -262 divided by 2.
-131
-16215 divided by 5
-3243
Divide 0 by 391.
0
What is 236 divided by 59?
4
2586 divided by 3
862
-1256 divided by 9
-1256/9
Divide -255 by -51.
5
Divide 0 by -23.
0
What is -240 divided by -48?
5
What is 378 divided by -3?
-126
Calculate -9240 divided by -462.
20
What is 8028 divided by 1338?
6
Divide -1 by 9.
-1/9
-77 divided by 11
-7
-11 divided by 26
-11/26
Divide -1320 by 220.
-6
Calculate -11319 divided by -1617.
7
-1 divided by 23
-1/23
Calculate 4044 divided by -1011.
-4
What is -72 divided by -79?
72/79
Divide -3447 by 3.
-1149
Calculate -17364 divided by -6.
2894
What is -36 divided by 18?
-2
-5 divided by 35
-1/7
What is 20 divided by -4?
-5
3 divided by 6
1/2
Divide -161 by 23.
-7
525 divided by 2
525/2
4396 divided by 28
157
Calculate -5 divided by 68.
-5/68
Calculate 2820 divided by -20.
-141
Calculate 2 divided by 2774.
1/1387
Calculate -29 divided by 45.
-29/45
What is 3400 divided by -1700?
-2
Divide 19122 by 6.
3187
What is -374 divided by -2?
187
Calculate -353 divided by 5.
-353/5
9415 divided by -1883
-5
3070 divided by -307
-10
3 divided by -1040
-3/1040
Calculate 530 divided by 10.
53
-7 divided by 784
-1/112
Divide 1938 by 51.
38
Calculate 611 divided by 3.
611/3
What is 4017 divided by 1339?
3
5 divided by 1709
5/1709
Calculate 1980 divided by 45.
44
Divide -6 by 2.
-3
Calculate -44 divided by 14.
-22/7
What is 4131 divided by -51?
-81
What is 250 divided by -5?
-50
Divide -1121 by 21.
-1121/21
2 divided by -14
-1/7
2704 divided by -338
-8
Calculate -2201 divided by -2201.
1
-728 divided by -364
2
What is -384 divided by -6?
64
374 divided by -17
-22
What is 1 divided by -90?
-1/90
Calculate -2 divided by -13.
2/13
Divide 3290 by -5.
-658
28 divided by -28
-1
Calculate -4 divided by 259.
-4/259
What is -7 divided by 51?
-7/51
Calculate 0 divided by -546.
0
What is 91 divided by -3?
-91/3
What is -858 divided by 5?
-858/5
Calculate -2955 divided by 197.
-15
Divide -3400 by 5.
-680
-1044 divided by 4
-261
What is 3618 divided by 3?
1206
What is -250 divided by 3?
-250/3
3440 divided by 215
16
-10 divided by -248
5/124
Calculate 53 divided by 4.
53/4
What is -85 divided by 9?
-85/9
Calculate 2370 divided by -5.
-474
Calculate -1 divided by 1903.
-1/1903
Divide -2217 by -739.
3
-51 divided by 12
-17/4
Calculate 1 divided by 2531.
1/2531
Divide 27 by 276.
9/92
Calculate -98 divided by -6.
49/3
14 divided by 42
1/3
What is -245 divided by 7?
-35
Divide 23 by -1094.
-23/1094
-1216 divided by -608
2
-44 divided by -214
22/107
Calculate 1494 divided by -498.
-3
Divide -482 by 5.
-482/5
Divide 4524 by 1131.
4
59592 divided by 4
14898
-507 divided by 169
-3
-3 divided by -380
3/380
144 divided by -4
-36
Calculate 1197 divided by -3.
-399
Calculate 5 divided by 1602.
5/1602
Divide -28 by -28.
1
-2 divided by -1161
2/1161
Divide -101 by -1.
101
Calculate -1241 divided by -73.
17
Calculate -2046 divided by -2.
1023
Divide -156 by 13.
-12
Calculate 4 divided by -106.
-2/53
Divide -3 by -3422.
3/3422
Divide -5 by -68.
5/68
Divide 13636 by 3409.
4
261 divided by 4
261/4
What is -3 divided by 82?
-3/82
Calculate 180 divided by -60.
-3
Divide -303 by -6.
101/2
Calculate 2028 divided by 4.
507
Divide -125 by -25.
5
7 divided by 11
7/11
-5 divided by 594
-5/594
Calculate 1592 divided by -398.
-4
Divide 136 by 68.
2
Calculate 10 divided by -4.
-5/2
858 divided by -4
-429/2
-3038 divided by -1519
2
162 divided by 81
2
Divide 327 by -5.
-327/5
What is -1 divided by -1808?
1/1808
-9 divided by 96
-3/32
Divide 702 by 3.
234
Calculate 0 divided by 9939.
0
Divide 4 by 937.
4/937
Divide 4 by -1013.
-4/1013
1488 divided by 6
248
Divide -3741 by 29.
-129
What is 11 divided by -68?
-11/68
What is -26588 divided by 17?
-1564
-11212 divided by 4
-2803
What is -128 divided by 64?
-2
Calculate 47 divided by 47.
1
What is 2584 divided by -76?
-34
What is -25 divided by 16?
-25/16
74772 divided by -3
-24924
Calculate -7520 divided by -4.
1880
-11 divided by 10
-11/10
Calculate -169 divided by 169.
-1
-284 divided by -4
71
What is 104 divided by 26?
4
-108 divided by 12
-9
Divide -3 by 313.
-3/313
What is 5764 divided by -11?
-524
3 divided by 855
1/285
Calculate 5406 divided by -106.
-51
Divide -226 by 2.
-113
Calculate -75 divided by 75.
-1
What is -2076 divided by 2?
-1038
Divide -22045 by 5.
-4409
What is -4912 divided by 1?
-4912
Calculate -3176 divided by -2.
1588
Calculate 1356 divided by -4.
-339
Calculate -228 divided by 114.
-2
What is -282 divided by 47?
-6
Divide 165 by -55.
-3
66 divided by -91
-66/91
Calculate 1314 divided by 2.
657
Divide 127 by 1.
127
What is 63 divided by 6?
21/2
-700 divided by 5
-140
Calculate -1643 divided by 31.
-53
Divide -3690 by -18.
205
Calculate 4094 divided by -89.
-46
Calculate -64 divided by 6.
-32/3
What is 40 divided by 119?
40/119
Calculate -15 divided by 5.
-3
What is 0 divided by 6617?
0
Divide 7785 by 5.
1557
What is -1956 divided by 6?
-326
What is 5 divided by -10?
-1/2
What is 940 divided by 5?
188
Calculate -23235 divided by -4647.
5
What is 92 divided by 46?
2
Divide -4 by -1797.
4/1797
150 divided by 10
15
-1280 divided by 1
-1280
Calculate -48 divided by 16.
-3
9565 divided by -6
-9565/6
Divide 44 by 11.
4
Divide 16 by 138.
8/69
What is -10 divided by -3?
10/3
-343 divided by 5
-343/5
What is -303 divided by 6?
-101/2
Divide 985 by -5.
-197
-3306 divided by -57
58
-992 divided by -4
248
What is 18 divided by 10?
9/5
What is 126 divided by -18?
-7
Divide -4 by -141.
4/141
What is -1412 divided by -353?
4
4 divided by 59
4/59
Calculate 23652 divided by -36.
-657
1888 divided by -6
-944/3
5 divided by -34
-5/34
Calculate -211 divided by 6.
-211/6
Calculate -198 divided by 99.
-2
Divide 51 by 4.
51/4
Calculate -1557 divided by 1.
-1557
Divide -32 by -16.
2
What is 5775 divided by 385?
15
What is -13938 divided by -6?
2323
Divide -5 by 230.
-1/46
What is -400 divided by 10?
-40
5226 divided by 402
13
8 divided by 68
2/17
Calculate -136 divided by -34.
4
3690 divided by 5
738
Calculate -2 divided by 136.
-1/68
Calculate 544 divided by -3.
-544/3
What is -18 divided by -37?
18/37
Divide -264 by -22.
12
-216 divided by 3
-72
-17343 divided by 41
-423
-400 divided by 80
-5
-1670 divided by -5
334
Divide 52 by -4.
-13
What is 8752 divided by 4?
2188
Divide 0 by 995.
0
What is -736 divided by 46?
-16
What is -126 divided by -7?
18
What is 2401 divided by 49?
49
What is -2 divided by -241?
2/241
-6590 divided by 5
-1318
Calculate 10806 divided by -6.
-1801
545 divided by -1
-545
Calculate -74 divided by -37.
2
Calculate -126 divided by -3.
42
What is -2792 divided by 4?
-698
-4779 divided by -177
27
-102 divided by -2
51
What is -17976 divided by 4494?
-4
Divide -440 by 2.
-220
What is 17025 divided by 25?
681
Divide -2 by 14.
-1/7
Divide -865 by -5.
173
Divide -24 by -6.
4
2 divided by 1679
2/1679
Calculate -3 divided by -898.
3/898
What is -360 divided by -3?
120
What is 342 divided by -342?
-1
What is 0 divided by 1277?
0
What is 115 divided by 6?
115/6
What is -1056 divided by 28?
-264/7
Divide -155560 by -4.
38890
Calculate 5238 divided by 194.
27
Divide 26 by 138.
13/69
Calculate -4 divided by 34.
-2/17
Calculate -138 divided by -2.
69
What is -43 divided by 1?
-43
What is -2 divided by -705?
2/705
Divide 21 by -7.
-3
Calculate 88 divided by -11.
-8
Divide 4152 by -1384.
-3
What is -2 divided by 17?
-2/17
What is -20 divided by -80?
1/4
Calculate -34 divided by 5.
-34/5
What is -252 divided by -2?
126
Divide -7385 by 1477.
-5
What is -378 divided by -126?
3
Divide -2 by -219.
2/219
29309 divided by 6
29309/6
Calculate -1872 divided by 312.
-6
What is 3 divided by -1222?
-3/1222
0 divided by -246
0
What is 1 divided by -51?
-1/51
What is -648 divided by -324?
2
0 divided by -219
0
Divide 936 by -6.
-156
Calculate 330 divided by -5.
-66
Calculate 13650 divided by 182.
75
3
|
{
"pile_set_name": "DM Mathematics"
}
|
.
2
Let h = 8 + 6. Let a be 48/26 - (-2)/13. Suppose -x = -5*z - 61, 5*x + a*z - 221 = 6*z. What is the remainder when x is divided by h?
13
Suppose -m = -0*m + b - 7, 4*m = -2*b + 18. What is the remainder when 5 is divided by m?
1
Suppose -4*f = g + 4*g - 9, -3*f + 12 = 2*g. Calculate the remainder when 1 + 1 - (-27 - (-3 - 4)) is divided by f.
4
Let n(u) = 2*u**3 - 3*u + 1. What is the remainder when 52 is divided by n(2)?
8
Suppose 3*s + 4 = -0*c - 2*c, 0 = -4*c + 4*s + 32. Suppose 3*o - 21 - 9 = -c*i, 5*i - 4*o = 22. What is the remainder when 3/(i/20) + -1 is divided by 5?
4
What is the remainder when (225/(-20))/(-9)*4 is divided by 4?
1
Let z be (-4)/14 - (-46)/14. Suppose 40 = 3*s + s - z*o, -s = 5*o - 33. Suppose 8*d - 5*d = 21. What is the remainder when s is divided by d?
6
Suppose 5*p + 2*q = 174, 0 = -0*p - 5*p + 2*q + 186. Calculate the remainder when 62 is divided by p.
26
Suppose 4*k - 2*k = 0. Suppose 4*x = 3*l + 27 + 2, k = x - l - 8. What is the remainder when 14 is divided by x?
4
Let c(b) = -b**2 - 21*b - 2. What is the remainder when c(-18) is divided by 27?
25
Let r = 182 - 96. Suppose 0 = -5*z + 92 + 18. What is the remainder when r is divided by z?
20
Let x(a) be the second derivative of -a**3/3 + a**2/2 + 2*a. Suppose -s - 4*s = -215. Calculate the remainder when s is divided by x(-7).
13
Suppose 3*g + 5 = 4*g - 3*z, 0 = -5*g - 5*z + 5. Suppose k - g*k = 2*b - 5, 3*k - 31 = -2*b. What is the remainder when 24 is divided by k?
11
Suppose -3*a = -6*a - 5*x + 43, 4*x = -4. Suppose 26 = 3*l + 5*n, -2*l - 18 = -3*l + 3*n. Let w = -3 + l. Calculate the remainder when a is divided by w.
7
Suppose 2*p = 3*u + 14, 3*p + 0*u - 2*u = 16. Calculate the remainder when 71 is divided by ((-72)/p)/((-3)/4).
23
Let z = -7 - -18. Suppose -3*v = -j - 4*v + 29, 0 = 5*j - v - 151. Calculate the remainder when 10/j + (-184)/(-6) is divided by z.
9
Suppose 3*y - 35 - 19 = 0. Let a(t) = 2*t + 4. Let n be a(-7). Calculate the remainder when n/(-4)*(-1 - -15) is divided by y.
17
Suppose 286 = 5*r - 79. Calculate the remainder when r is divided by 19.
16
Let y be (11/(-2))/(7/(-42)). Suppose 5*z - 77 = y. What is the remainder when 42 is divided by z?
20
Let x be 7/1 - (-1 - -2). Suppose 0 = p - 2 - x. Suppose -3*v + 9 = -6. Calculate the remainder when p is divided by v.
3
Suppose 152 = 5*a - a. Let b = a - 19. Calculate the remainder when -72*((-10)/(-4) + -3) is divided by b.
17
Let c(t) = t**2 + 6*t - 3. Calculate the remainder when c(-9) is divided by 13.
11
Let h(y) = -y**3 - 7*y**2 + y + 6. Let t be h(-7). Calculate the remainder when ((-2)/(-4))/(t/(-32)) is divided by 9.
7
Let a be (-1 + 2)*5*-1. Suppose -5*p + 3 + 7 = 0. Calculate the remainder when a/(-1) + 6/(-3) is divided by p.
1
Let m(u) = 5*u**3 - 3*u**2 + 3*u - 2. Suppose -4*b - 3 = -5*b. Suppose -4*z + 46 = -x, 3*x + 39 = b*z - 0*z. What is the remainder when m(2) is divided by z?
10
Let g be 129/(-9) - (-2)/(-3). Let f = 1 - g. Calculate the remainder when 61 is divided by f.
13
Suppose -3*u - 5*j = -0*j - 20, 5*u - 3*j = 90. Suppose 0 = 3*g - 8 - 76. Calculate the remainder when g is divided by u.
13
Suppose -5*c - 171 = -451. What is the remainder when 108 is divided by c?
52
Suppose 4*u - 1 + 45 = 0. Let w = u + 41. Calculate the remainder when w is divided by 16.
14
Let t = 129 + -68. What is the remainder when t is divided by 16?
13
Let c = -19 - -18. What is the remainder when 42 is divided by (176/24)/(c/(-3))?
20
Let f(s) = -15*s**3 + 2*s**2 + s. What is the remainder when 47 is divided by f(-1)?
15
Let i(w) = 2*w**2 + 5*w. Let l be i(-4). Suppose 0 = r + 3*r - l. Let h = 15 + -7. What is the remainder when h is divided by r?
2
Suppose 7*d + 30 = 9*d. What is the remainder when d is divided by 5/((-10)/(-8)) - 0?
3
Let a(v) = -v**2 + 12. Let n be a(0). Let b = -4 + n. Calculate the remainder when b is divided by 3.
2
Suppose -5*r + 58 = -57. What is the remainder when 85 is divided by r?
16
Suppose -5*a + 3*y + 156 = 2*y, 12 = 3*y. Suppose -14 = -u + 7. Let n = a - u. What is the remainder when 20 is divided by n?
9
What is the remainder when 2 - -38 - (-2)/1 is divided by 0 + 12 + -1 + 0/(-2)?
9
Let w(i) = -i**3 - 11*i**2 - 2*i - 16. What is the remainder when 6/(-3) - -4 - -21 is divided by w(-11)?
5
Suppose -4*w + 12 = 4*u, -3*w - 39 = -4*u + 2*w. Calculate the remainder when 20 is divided by (3/u)/(1/22).
9
Suppose 0 = -5*q + 35 + 10. What is the remainder when 24 is divided by q?
6
Suppose -3*y = -4*y + 5. Calculate the remainder when (-3)/y + 163/5 is divided by 0/2 + 11 + 0.
10
Let v(l) = l**3 + 13*l**2 - 30*l + 10. What is the remainder when 309 is divided by v(-15)?
9
Suppose 0 = -y - 0*y + 11. What is the remainder when y is divided by (-36)/(-10) + 2/5?
3
Suppose 0*k - 245 = -5*k. Suppose -4*a + k = -55. What is the remainder when a is divided by 14?
12
Suppose -2 = -2*j - 6. What is the remainder when (j/(-4))/((-1)/(-6)) is divided by 1?
0
Let k = 15 - 7. Suppose k = 2*o - 0*o. What is the remainder when o is divided by (-2 - -1)/(4/(-12))?
1
Suppose 6*h + 5 - 251 = 0. Suppose 4*u = -2*x - 2, 2*x - 3 = 4*x + 5*u. Calculate the remainder when h is divided by (x/(-3))/(2/(-66)).
8
Let m(d) = d**2 + 6*d - 13. Calculate the remainder when 27 is divided by m(-9).
13
Let y be 1 + (-3)/(-1 + -2). Let r(m) = -4 + 2*m + y*m - m. What is the remainder when r(7) is divided by 6?
5
Calculate the remainder when 38 is divided by (-24)/9*(-90)/12.
18
Suppose -f + 1 = -3. Calculate the remainder when (-10)/f*(-12)/10 is divided by 4 + (2 + -4 - 0).
1
Suppose -2*h + 4*q = -96, -2*q + q - 134 = -3*h. What is the remainder when h is divided by 24?
20
Suppose -2*p + 4 = -2*j, -4*j + 0*p - 4 = -3*p. Suppose j*y - 5*u = 1, -5*y - 6*u + 43 = -5*u. What is the remainder when 19 is divided by y?
3
Let s(o) = -o - 3. Let j be s(-5). Suppose 6*b - 3*b - 129 = 0. Calculate the remainder when b is divided by 5*(6 - 6/j).
13
Let k(c) = c + 12. Let v be k(-7). Calculate the remainder when 9*(35/3)/v is divided by 11.
10
Suppose 5*a + 5*x = 350, 3*a - 4*a + 70 = 5*x. Calculate the remainder when a is divided by 12.
10
Let b(l) = l**2 - 7*l + 4. Let u be b(7). Suppose y - 15 = -u*y. Suppose -6 + 21 = y*r. What is the remainder when r is divided by 4?
1
Suppose 2*t = 2*f + 10, 0*f - 2*f - 9 = -t. Suppose u - 3*p - 11 = p, 0 = -u + 2*p + 13. Calculate the remainder when (-3)/(-12) - 111/f is divided by u.
13
Let o = 70 + -53. Calculate the remainder when o is divided by 5.
2
Suppose -3*j + 941 = 215. What is the remainder when j is divided by 49?
46
Let p(l) = l**3 + 13*l**2 + 9*l - 23. What is the remainder when 1/(-4) - 447/(-12) is divided by p(-12)?
11
Suppose -3*y - 2*j + 0*j = -39, 2*y - 2*j - 36 = 0. What is the remainder when 55 is divided by y?
10
Suppose -60 = 3*u - 105. Calculate the remainder when 40 is divided by u.
10
Let x be ((-18)/(-8))/((-3)/(-8)). What is the remainder when (-3 - 0)*(-98)/x is divided by 25?
24
Let p = 34 + 8. Suppose 0*t + 2*t - p = 0. What is the remainder when t is divided by 11?
10
Let u(r) = -r**2 + 8*r + 2. Let y be u(8). What is the remainder when 85 is divided by -3 + 3 + 58/y?
27
Let d(a) = a**2 + 2*a - 6. What is the remainder when 32 is divided by d(3)?
5
Suppose d - 7 + 3 = 0. Suppose 3 = d*j - j. Let l(r) = 15*r**3 + r**2 - r + 1. Calculate the remainder when 47 is divided by l(j).
15
Let z = 159 + -108. What is the remainder when 254 is divided by z?
50
Let g(o) = o**2 - o + 99. Suppose 0 = -21*z + 231 + 294. Calculate the remainder when g(0) is divided by z.
24
Suppose x = n - 20, -x = 7*n - 2*n - 70. Suppose 0*r = -r + 5*d + 54, 3*d + 73 = 2*r. What is the remainder when r is divided by n?
14
Let t(q) = q**2 - 10*q + 37. Calculate the remainder when 294 is divided by t(10).
35
Suppose 4*j - 3 + 35 = 0. Let v(q) = -q**3 - 8*q**2 - 10*q - 2. What is the remainder when v(j) is divided by 20?
18
Let i(y) = -2*y + 6. Let c = 14 - 5. Let g be i(c). Calculate the remainder when 16 is divided by (-3)/(2*3/g).
4
Calculate the remainder when 70 is divided by 76/6*33/22.
13
What is the remainder when (21 + 0)/(63/42) is divided by 4?
2
Suppose 2*l - l - 1 = 0. Suppose m - 19 = -l. Let g = m - 8. Calculate the remainder when 28 is divided by g.
|
{
"pile_set_name": "DM Mathematics"
}
|
y(q) be the third derivative of 1/10*q**5 + 0*q - 11/210*q**7 + 0*q**4 - 4*q**2 + 0 + 0*q**3 + 0*q**6. Find the third derivative of y(v) wrt v.
-264*v
Let y(n) = -n**2 - n - 2. Let d(r) = 232*r**2 - 135*r - 8. Let m(c) = -d(c) + 4*y(c). Find the second derivative of m(w) wrt w.
-472
Let t(d) be the third derivative of -57*d**8/112 - 15*d**4/8 - d**2 + 22*d. Find the second derivative of t(u) wrt u.
-3420*u**3
What is the derivative of -1 + 0 - 56*h + 12 - 4 + 6 wrt h?
-56
Suppose 2*x + 0*u + 4*u = -2, 3*x - 5*u - 8 = 0. Find the second derivative of -x + 1 - g + 22*g**5 - 8*g wrt g.
440*g**3
Suppose u - 10 = n, 4*u + 0 = -n + 15. Suppose 3*p - u*p = -6. Find the second derivative of 117*a**3 + 3*a + 6*a**4 - 117*a**p wrt a.
72*a**2
Find the second derivative of 30*o - 5*o**3 - 214540 - 22*o**4 + 2*o**3 + 214542 wrt o.
-264*o**2 - 18*o
What is the first derivative of -131 - 40 - 226*l**3 + 21 - 171*l + 171*l wrt l?
-678*l**2
Let k(v) be the third derivative of -79*v**8/336 - v**5/20 + 9*v**3 + 247*v**2. Find the third derivative of k(r) wrt r.
-4740*r**2
Let b(w) = 875*w + 619. Let r(p) = 430*p + 309. Let l(n) = -3*b(n) + 5*r(n). Find the first derivative of l(h) wrt h.
-475
Let v be (2/2)/(10/30). Differentiate -96 + 10*d**v - 3*d**3 + 105 wrt d.
21*d**2
Let d(p) = -2*p**3 - p**2 + p - 12. Let f be d(0). Let u be f/(-4)*(-20)/(-15). Find the first derivative of -200*m**3 + 2*m**2 + 207*m**3 - u - 2*m**2 wrt m.
21*m**2
Let b(w) be the third derivative of 43*w**7/210 + w**6/40 - 13*w**5/10 + 2*w**2 + 38. What is the third derivative of b(s) wrt s?
1032*s + 18
Let n = -4 - -17. Find the second derivative of -6*d - 10*d**3 + n*d**3 - 10*d wrt d.
18*d
Differentiate 370 - 40*u**2 - 151*u + 59*u + 99*u wrt u.
-80*u + 7
Find the first derivative of 5*z - 28*z + 29 - 5*z + 103 wrt z.
-28
Let h(c) = 4*c**3 - 10*c**3 - 6*c**2 + 5*c**3 + 2 + 7*c. Let w be h(-7). What is the derivative of -6*v**2 + 4*v**w - 3 + 0 wrt v?
-4*v
Differentiate -3*l**4 - 29*l**2 + 10*l**2 + 11*l**2 - 60 with respect to l.
-12*l**3 - 16*l
Let p(f) be the third derivative of -f**8/168 - 9*f**4/8 - f**3/3 + 28*f**2. Let u(m) be the first derivative of p(m). Find the first derivative of u(a) wrt a.
-40*a**3
Differentiate 7*c**4 + 24 + 0 + 63*c**4 with respect to c.
280*c**3
Let m(c) = c + 5. Let q = 31 + -29. Let z be m(q). Find the second derivative of -37*x - z*x**5 + 24*x - 4*x**5 wrt x.
-220*x**3
Let r(w) be the third derivative of w**10/10800 + w**6/360 - w**5/30 + 44*w**2. Let l(f) be the third derivative of r(f). What is the derivative of l(q) wrt q?
56*q**3
Let g = 466 + -462. Let l(d) be the first derivative of 0*d**3 + 5 + 0*d + 0*d**g - 1/5*d**5 + 5*d**2. What is the second derivative of l(k) wrt k?
-12*k**2
Find the second derivative of -11*w - 189*w + 62*w**2 - 6*w**2 + 15*w wrt w.
112
Let z be (-9*5/(-3))/((-3)/(-36)). What is the second derivative of -4*u + 3*u - z*u**2 + 203*u**2 wrt u?
46
What is the third derivative of -2*u**2 + 45*u - 5*u**5 - 3*u**5 + 4*u**4 - 2*u**5 + 9*u**5 - 5*u wrt u?
-60*u**2 + 96*u
Let a(x) be the first derivative of 2*x**6 + 3*x**5/5 - 63*x**2/2 + 55. Find the second derivative of a(t) wrt t.
240*t**3 + 36*t**2
What is the derivative of -16*h**2 + 25*h**2 + 111*h**2 + 33 wrt h?
240*h
Let b(d) be the first derivative of -112*d**4 - 216*d - 330. Differentiate b(k) wrt k.
-1344*k**2
Let n(l) be the third derivative of -31*l**6/120 - l**5/60 - l**4/12 + 11*l**3 + 285*l**2. What is the second derivative of n(y) wrt y?
-186*y - 2
Let b(h) be the second derivative of 0*h**2 - 1/6*h**7 + 0*h**6 + 5*h + 0*h**5 + 0*h**4 + 0 - 2/3*h**3. What is the second derivative of b(i) wrt i?
-140*i**3
What is the second derivative of 162704 + 574*p**2 - 162704 - 425*p wrt p?
1148
Differentiate 57 - 119*t - 53 + 57 + 69 wrt t.
-119
Suppose -3*s + 24 = 9. Let c be s + (1 + 1)/2. What is the second derivative of c*j - 10*j**4 + 13*j**4 - 9*j**4 wrt j?
-72*j**2
Let b be 2/(-5) + (-576)/(-40). What is the second derivative of 2*f - b*f**4 + 17*f + 17*f - 20*f wrt f?
-168*f**2
Let t = -17 + 31. Suppose -3*b = 2 - t. What is the second derivative of 7*s**2 + s - s**2 - b*s + 3*s**2 wrt s?
18
Suppose 4*o + 5*b = 35, -3*b - 5 = 2*o - 8*b. Let m(j) = -j**2. Let s(c) = 7*c**2 + 3*c. Let i(z) = o*m(z) - s(z). Find the second derivative of i(v) wrt v.
-24
Let h(g) = g**2 + 4*g + 14. Let z be h(-4). Find the second derivative of -z*l**4 - 398 + 398 + 9*l wrt l.
-168*l**2
Let v(r) be the third derivative of -43*r**6/40 + r**5/20 + 917*r**4/24 - 397*r**2. Find the second derivative of v(p) wrt p.
-774*p + 6
Let o(a) be the first derivative of 91*a**3/3 - 21*a**2 + 2*a - 332. What is the second derivative of o(c) wrt c?
182
Find the second derivative of 8*a**2 - 72*a + 4*a**2 + 34*a**2 + 25*a**2 wrt a.
142
Let j(m) be the second derivative of m**7/14 + 6*m**6/5 - m**4/12 + 71*m**2/2 + 2*m - 38. What is the third derivative of j(y) wrt y?
180*y**2 + 864*y
Let b(q) be the second derivative of q**8/56 + 4*q**7/21 + q**4/6 + 245*q**2/2 + 151*q. Find the third derivative of b(a) wrt a.
120*a**3 + 480*a**2
Let j(n) = -188*n**3 - 128*n**2 + 4*n + 3. Let i(k) = -k**3 - k**2 + k + 1. Let t(q) = -4*i(q) + j(q). What is the third derivative of t(u) wrt u?
-1104
Let l(b) be the second derivative of -17*b**4/12 + 8*b**3/3 - 248*b**2 - 14*b. Differentiate l(k) with respect to k.
-34*k + 16
What is the third derivative of -3*z**4 - 165*z**5 + 14*z**5 + 6*z**4 - 194*z**2 - 3*z**4 wrt z?
-9060*z**2
Let z(j) be the first derivative of -7/2*j**2 + 14*j + 7. What is the first derivative of z(t) wrt t?
-7
What is the second derivative of 6*k**4 + 14*k**4 - 20*k**4 - 232*k**5 - 67*k wrt k?
-4640*k**3
Let f = -1/276 + 1661/1380. Let d(t) be the first derivative of f*t**5 + 3 - 7/3*t**3 + 0*t**2 + 0*t**4 + 0*t. What is the third derivative of d(l) wrt l?
144*l
Let a(q) be the third derivative of -79*q**5/30 - 31*q**3/3 + 444*q**2. What is the derivative of a(v) wrt v?
-316*v
Suppose 7*d - 102 = -11. Differentiate -d*v**4 - 40 + v**4 + 21 with respect to v.
-48*v**3
Let y(q) be the second derivative of -92*q**6/3 - 17*q**4/4 + 2*q**2 + 14*q + 13. What is the third derivative of y(j) wrt j?
-22080*j
Let v(a) = 2*a + 1. Let d(p) = -140*p + 68. Let t(h) = d(h) - 5*v(h). Find the first derivative of t(m) wrt m.
-150
Find the third derivative of -4*p**5 - 2*p**5 + 5 - 10 + 5*p**2 + 52*p**5 wrt p.
2760*p**2
Let j(y) be the first derivative of 3*y**5/5 + 63*y**2/2 - 47*y - 31. Differentiate j(n) with respect to n.
12*n**3 + 63
Let y(p) be the first derivative of 0*p - 1 + 4*p**2 + 5/3*p**3. What is the second derivative of y(x) wrt x?
10
Let m(p) be the second derivative of -p**6/15 + p**5/20 + 37*p**3/3 - p**2 + 57*p. What is the second derivative of m(o) wrt o?
-24*o**2 + 6*o
Let r(a) = a**2 - 7*a + 12. Let w be r(2). What is the third derivative of -2*f**3 - 2*f**4 + f**4 + 18*f**2 + 33*f**w + 0*f**4 wrt f?
-24*f - 12
Find the second derivative of -639*w**5 + 115*w + 389*w**5 + 709*w - 197*w wrt w.
-5000*w**3
Suppose 3*o - 18 = -3*l, -9 = -7*l + 4*l. What is the third derivative of 20*k**2 + 6*k**2 + 7*k**3 + 2*k**o - 7*k**3 wrt k?
12
Let h(k) = -k**3 + 5*k + 3. Let z be h(-3). Suppose -3*b = -z + 3. What is the first derivative of 2*q - 3*q + 2 - 1 + b wrt q?
-1
Let c(j) = 625*j + 911. Let s(h) = -1248*h - 1819. Let a(l) = -5*c(l) - 2*s(l). Find the first derivative of a(r) wrt r.
-629
Let l(i) = i**3 + 11*i**2 - i - 9. Let v be l(-11). Find the second derivative of -2*g**v - g + 2*g**2 + 6*g**2 wrt g.
12
Suppose -12*s + 15 = -9*s. Find the third derivative of -5*v**2 + 4*v**s - 14*v**5 - 10*v**2 + 2*v**2 wrt v.
-600*v**2
Let f(w) = -w**2 + 8*w - 10. Let x be f(3). What is the first derivative of 810*n**2 - 1 - 833*n**2 - x wrt n?
-46*n
Let f(o) = -49*o + 12. Suppose -8*w - 52 = 5*w. Let z(r) = 2*r + 1. Let k(j) = w*z(j) - f(j). What is the derivative of k(s) wrt s?
41
Suppose -22 = -3*o - 10. Differentiate 5 - o - 4 + 7*a with respect to a.
7
Let t(v) be the first derivative of -249*v**4/4 - 161*v**2/2 - 83. What is the second derivative of t(f) wrt f?
-1494*f
Let a(y) = -y**4 + 2*y**3 + y**2 - 1. Let p(i) = -80*i**4 + 2*i**3 + 92*i**2 - 1. Let j(r) = -a(r) + p(r). Find the third derivative of j(l)
|
{
"pile_set_name": "DM Mathematics"
}
|
s = -207050 - -395299. Is s a composite number?
False
Suppose -60543 = 19*a - 353656. Is a a prime number?
True
Let m = -4 - -6. Let i(y) = -3*y - 1. Let w be i(-2). Suppose 0 = -u - u + w*z + 33, -3*u - m*z = -59. Is u composite?
False
Let o(a) = 20087*a - 53. Is o(2) a prime number?
False
Let a = -350 + 3277. Is a a prime number?
True
Is 1/(-7) - (-146136)/28 composite?
True
Suppose -14 + 140 = -6*k. Let r be (-72)/k + (-4)/(-7). Is (-11673)/(-45) + r/(-10) a prime number?
False
Let d be (-14)/5 + 36/45. Let f be 0/(2 + d - -1). Suppose p + f = -5, -p - 49 = -2*a. Is a prime?
False
Suppose 0 = 4*j - 2*j + 2. Is 187/22*(21 - j) prime?
False
Let n(h) = -66*h - 815. Is n(-76) composite?
False
Let y(f) = 626*f**2 - 35*f + 4. Is y(3) prime?
False
Let z = -68 + 71. Suppose 3*v + y = -3*y + 7853, z*v + y - 7838 = 0. Is v composite?
True
Let v be (-62)/(-8) - 3/4. Let j(g) = g**3 - 3*g**2 - g - 2. Let u be j(v). Suppose -f + u + 120 = 0. Is f prime?
True
Suppose 87 = 43*b - 42. Suppose 0*z - 2094 = -z. Suppose -z = -2*p - b*h - 2*h, 5289 = 5*p - h. Is p composite?
True
Suppose s - 18 = 4*k, -3*k = 2*s + 7 + 1. Is (k - -1)/1 + 910 a prime number?
True
Suppose -2142 = -2*p + 1214. Is p composite?
True
Let t(l) be the first derivative of 33*l**2/2 - 13*l + 6. Is t(10) composite?
False
Let l = -5955 - -8526. Suppose 0*o = -o + 3*k + 865, -3*o + 3*k + l = 0. Is o composite?
False
Suppose -4270 = -2*b - 5*w + 9858, 0 = -4*b + w + 28278. Is b a composite number?
False
Let z(n) = n**3 - n. Let i be z(1). Suppose 3*m + 2*m - 15 = i. Suppose -m*f - 188 = p - 822, 3*p + 1052 = 5*f. Is f a composite number?
False
Let z(h) = 4942*h - 191. Is z(7) a composite number?
False
Let s be ((-32)/6)/((-18)/135). Suppose -n - 3*n - 4*b = -s, b = 3. Is 1/n + (-888)/(-7) a prime number?
True
Let t(d) = 828*d - 47. Let z be t(5). Let x = -2246 + z. Is x a prime number?
True
Let h = -6 + 5. Let y be 1 + (1 + -3 - h). Suppose 604 = 3*n + j, y = n + j - 2*j - 200. Is n a prime number?
False
Suppose 0 = -5*h - 0*h - 4*q + 10065, -2*h - 4*q = -4014. Is h a composite number?
False
Let v(l) = 2*l**3 - l**2 - 5*l + 2. Let t be v(3). Is t/12*18/8 prime?
False
Suppose 0*u - 4 = -u. Let s = u + 375. Is s a prime number?
True
Let p = -3948 - -6359. Is p composite?
False
Let a be (130/15 + -4)*18/(-7). Is (159/(-2) - 2)/(6/a) composite?
False
Suppose -t - 7 = 2*r - 3, -20 = 5*t + 4*r. Let o be -1*5*(3 + t). Suppose 2*w - 69 = o. Is w a prime number?
True
Suppose -3*z + 63084 = 3*g, 3*g + 2*z - 7*z = 63108. Is g prime?
True
Let m(c) = -3*c. Let a be m(-2). Is 2151/a + 2/(-4) a composite number?
True
Is (139046/4 - 5) + 4/8 composite?
False
Let r be ((-59)/(-4))/(2/248). Suppose s - 3*x = 788, -4*x - r = -2*s - 243. Let j = -570 + s. Is j composite?
False
Let o(i) = -i - 1. Let q be o(-4). Suppose -5*s + 1364 + 76 = 0. Suppose 4*y = -j + 229, q*y + 2*y - s = -3*j. Is y prime?
False
Let h(u) be the first derivative of -8*u**3 + 7*u**2/2 - 6*u - 3. Let q(v) be the first derivative of h(v). Is q(-10) composite?
False
Let l = 35 - 31. Is l/(-16) + 1738/8 a prime number?
False
Let l(g) = g**3 + 7*g**2 - 2*g - 3. Let k be l(-7). Suppose -k*y + 14*y = 2961. Suppose -5*o = -178 - y. Is o a prime number?
True
Let x = 1298 + -855. Is x a prime number?
True
Suppose 5*w = 4*i - 26877, 2*i - 21*w = -19*w + 13438. Is i composite?
True
Let a = -14991 - -65820. Is a prime?
False
Let l = 379 - 213. Let d = l - 31. Suppose -d - 22 = -k. Is k a composite number?
False
Let u = -8245 - -14198. Is u a composite number?
False
Let g = -8 - -13. Suppose -i + 1 = -b + 2, -5*i = g*b + 5. Suppose 0 = -6*z - b*z + 1854. Is z composite?
True
Suppose v - 30 = -3*v + c, -3*c - 34 = -4*v. Suppose -2*h = -m - 521, v*m - 3*m + 789 = 3*h. Is h composite?
True
Let t(x) = -4759*x**3 - 3*x**2 - 13*x - 3. Is t(-2) prime?
True
Is (-3 + 236)*4 + 9 + -4 a composite number?
False
Is 4 + (-728)/(-10) - (-4)/20 prime?
False
Let t(u) = 45*u**2 + 9*u - 29. Is t(18) composite?
False
Is (-154)/(-88)*5788*1 a composite number?
True
Let f(k) = -2*k**2 + 5*k + 4. Let t be f(4). Let v = -11 - t. Is v + 2 - (5 - 20) a prime number?
False
Let m = -89 + 134. Let o = m - -212. Is o a prime number?
True
Let f(t) = 2*t**3 + 9*t**2 - 17*t - 4. Let v(s) = 5*s**3 + 17*s**2 - 35*s - 7. Let g(o) = 7*f(o) - 3*v(o). Is g(10) composite?
False
Suppose 24687 = 7*g - 21660. Is g a composite number?
True
Let w be -1 - (2/1 - 5). Let l(d) = -d**2 + 40*d - 107. Let n be l(37). Suppose n*p - m = 37, 0*p - w = p - 4*m. Is p prime?
False
Let s be 0/(1 + 1 + -4). Let f = -71 + 213. Suppose -2*n - 5*b = -n - f, -3*n + 3*b + 372 = s. Is n composite?
False
Let s = -41874 - -88751. Is s composite?
False
Let t = -19 + 30. Suppose -6*r = -t*r - 20. Is (-1313)/(-5) - r/10 prime?
True
Let y be 4/6*126/12. Suppose 8 = 3*o - y. Suppose 5*r - 1021 = -2*b, o*r + 4*b - 1024 = b. Is r composite?
True
Let c be (-63552)/(-88) - 4/22. Suppose -v + 2*v = 5*k - 913, -4*k - 2*v = -c. Suppose -4*l + k + 22 = 0. Is l prime?
False
Let s(v) = 32*v + 3. Is s(4) a composite number?
False
Let t(k) = -14636*k**3 + 5*k**2 - 5*k - 1. Let u(v) = v**2 - v. Let c(b) = t(b) - 5*u(b). Is c(-1) prime?
False
Suppose -11 - 13 = -4*z. Suppose 0 = z*b - 4*b - 296. Suppose -3*h + b = h. Is h composite?
False
Suppose -i + 3*f + 2*f + 774 = 0, -5*i + 5*f = -3950. Is i prime?
False
Let j(l) = l**3 + 14*l**2 + 26*l + 34. Let w be j(-13). Let o be (-447)/9 - (-2)/(-6). Let r = o - w. Is r a prime number?
False
Let t be 0 + 1 + (3 - 5 - -182). Let d be -30*-2*(9 + -3). Let x = d - t. Is x prime?
True
Let n(c) = c**2 + c**3 + 4*c**2 - 3*c - 6*c**2 + c**3. Let m be n(3). Let x = m - -431. Is x prime?
True
Suppose 3*q = -15, 10*q = 2*a + 5*q - 4941. Suppose 3*p - a = u, 3*p - 8*p + 4080 = -5*u. Is p composite?
False
Suppose 15436 = 3*y - r, 12647 = 2*y + 3*r + 2338. Is y a prime number?
True
Suppose 3*y + 5*z - 47500 = 0, -6*y + 3*z = -8*y + 31667. Is y a composite number?
True
Let j(v) = v**2 - 2*v + 185. Let c be 6/(-12) + 1/2. Suppose -4*l = -4*d + 12, 9 = -d - c*d - 3*l. Is j(d) composite?
True
Suppose 2*s - d - 2 = -2*d, 5*s + 5*d - 10 = 0. Suppose s = -2*l + 4*l - 74. Is l prime?
True
Let o be (7896/15)/(2/10). Let k be 2*8/12*3. Suppose -3*w - o = -4*t, -w - 2600 = -k*t - 6*w. Is t a prime number?
False
Let k be ((-4)/(-12))/(4/24). Suppose k*f = 4*f - 474. Is f a prime number?
False
Suppose -2*k = -3*s + 21, 3*k - 5*s = -s - 30. Is (58/6)/((-267)/45 - k) prime?
False
Suppose 0 = 9*n - 8*n - 2721. Suppose 12*t + n = 15*t. Is t composite?
False
Is (-2)/13 + (-1490)/26*-85 a prime number?
True
Suppose 2*n - 5*h + 315 = 0, -464 = 4*n + h + 155. Let r = -62 - n. Is r prime?
False
Let s(y) = -y**2 - 2*y + 3. Let j be s(-5). Let q be j/((-50)/56 - -1). Let o = q - -321. Is o prime?
False
Let k = 12558 + -3637. Is k prime?
False
Let w be 4/6 - 60/(-45). Suppose w*s - 143 - 179 = 0. Is s composite?
True
Let f(p) be the second derivative of -p**5/10 + p**4/12 + 2*p**3 - 5*p**2/2 - 14*p. Is f(-6) composite?
True
Suppose -13 = -7*x + 15. Is (32/20)/x + (-1533)/(-5) composite?
False
Let l(h) = 752*h + 10. Let u = 3 - -1. Let b be l(u). Let p = b - 1541. Is p a composite number?
True
Let k(x) = x + 8. Let n be k(6). Is (-4)/(-3)*(5 - (-1967)/n) a composite number?
True
Let j = -2 - 19. Let o(s) = s**2 - 17*s - 29. Is o(j) a prime number?
True
Suppose 0 = -2*a - 2*l + 7380, -a + 4157 = -5*l + 461. Is a composite?
False
Is (-327258)/(-30)*(-45)/(-27) a composite number?
False
Suppose -11*h + 77874 + 33589 = 0. Is h a prime number?
True
Suppose 0 = 5*t + 2147 - 27232. Is t prime?
False
Suppose -2*x - 130 = 1562. Let s = x - -1519. Is s a prime number?
True
Let q(j) = -2*j - 2. Let t be q(-2). Suppose 5*m = -t*i + 683 - 15, -3*m + 5*i = -407. Is m prime?
False
Let z(f) = 27*f**3 - 3*f**2 - 8*f + 9. Let x be z(4). Let w = x + -570. Is w a prime number?
True
Let h(b) = 21*b + 5. Let w be h(4). Suppose -w = -2*g + 1889. Is g a composite number?
True
Let i(m) be the second derivative of -211*m**6/720 + m**4/12 + 3*m. Let w(c) be the third derivative of i(c). Is w(-1) composite?
False
Suppose -3*h = -c - h + 2536, c - 3*h = 2539. Suppose 4*k = 6*k - c. Let r = -778 + k. Is r composite?
False
Let z(k) = 53*k**2 + k + 3. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
it of 242958?
9
What is the units digit of 62969?
9
What is the thousands digit of 4093675?
3
What is the units digit of 210703?
3
What is the thousands digit of 282602?
2
What is the thousands digit of 20444068?
4
What is the ten thousands digit of 393822?
9
What is the hundreds digit of 19648879?
8
What is the millions digit of 1280020?
1
What is the units digit of 13773?
3
What is the thousands digit of 202469?
2
What is the thousands digit of 91153?
1
What is the tens digit of 1896035?
3
What is the thousands digit of 19063385?
3
What is the ten thousands digit of 8096509?
9
What is the ten thousands digit of 5202948?
0
What is the thousands digit of 662182?
2
What is the hundreds digit of 1214?
2
What is the tens digit of 14298348?
4
What is the thousands digit of 3926097?
6
What is the thousands digit of 1435?
1
What is the thousands digit of 8165286?
5
What is the ten thousands digit of 6116451?
1
What is the tens digit of 2250?
5
What is the units digit of 1390876?
6
What is the tens digit of 334243?
4
What is the ten thousands digit of 1711148?
1
What is the units digit of 1810282?
2
What is the ten thousands digit of 758115?
5
What is the units digit of 2131609?
9
What is the units digit of 701838?
8
What is the units digit of 21270247?
7
What is the ten thousands digit of 914288?
1
What is the units digit of 104165?
5
What is the ten thousands digit of 1454972?
5
What is the tens digit of 7313393?
9
What is the units digit of 28508?
8
What is the hundred thousands digit of 549049?
5
What is the ten thousands digit of 10918561?
1
What is the hundreds digit of 23046?
0
What is the units digit of 12392172?
2
What is the ten thousands digit of 58004?
5
What is the tens digit of 4937442?
4
What is the ten thousands digit of 1138840?
3
What is the hundred thousands digit of 4813298?
8
What is the thousands digit of 636839?
6
What is the units digit of 686662?
2
What is the thousands digit of 81050?
1
What is the thousands digit of 222512?
2
What is the ten thousands digit of 1753798?
5
What is the thousands digit of 92758?
2
What is the thousands digit of 23456462?
6
What is the units digit of 31126843?
3
What is the tens digit of 4024065?
6
What is the thousands digit of 1005928?
5
What is the hundreds digit of 2825857?
8
What is the hundreds digit of 1338664?
6
What is the thousands digit of 263410?
3
What is the hundred thousands digit of 1257351?
2
What is the ten thousands digit of 3376753?
7
What is the tens digit of 14121592?
9
What is the hundreds digit of 85643?
6
What is the thousands digit of 533103?
3
What is the ten thousands digit of 233999?
3
What is the thousands digit of 3385911?
5
What is the tens digit of 9243412?
1
What is the ten thousands digit of 51329?
5
What is the tens digit of 1142299?
9
What is the tens digit of 591945?
4
What is the units digit of 221991?
1
What is the tens digit of 403932?
3
What is the units digit of 953730?
0
What is the units digit of 16005489?
9
What is the thousands digit of 800782?
0
What is the hundred thousands digit of 3832345?
8
What is the hundreds digit of 1241280?
2
What is the hundreds digit of 688825?
8
What is the units digit of 459921?
1
What is the hundreds digit of 188825?
8
What is the hundred thousands digit of 216443?
2
What is the tens digit of 817430?
3
What is the units digit of 30891658?
8
What is the tens digit of 17829486?
8
What is the ten thousands digit of 10901574?
0
What is the hundreds digit of 13253?
2
What is the hundred thousands digit of 122398?
1
What is the units digit of 149852?
2
What is the hundreds digit of 8226596?
5
What is the ten thousands digit of 563141?
6
What is the tens digit of 2047919?
1
What is the hundreds digit of 4198571?
5
What is the tens digit of 1744630?
3
What is the millions digit of 1226500?
1
What is the millions digit of 1869022?
1
What is the units digit of 612876?
6
What is the tens digit of 3742712?
1
What is the ten thousands digit of 503903?
0
What is the hundred thousands digit of 27666961?
6
What is the ten thousands digit of 15878729?
7
What is the hundred thousands digit of 7521228?
5
What is the ten thousands digit of 41310735?
1
What is the ten thousands digit of 24722?
2
What is the tens digit of 27001725?
2
What is the units digit of 4020460?
0
What is the ten thousands digit of 508427?
0
What is the hundreds digit of 1504032?
0
What is the millions digit of 1900079?
1
What is the millions digit of 13569309?
3
What is the hundreds digit of 17542375?
3
What is the hundred thousands digit of 2394998?
3
What is the ten thousands digit of 228601?
2
What is the thousands digit of 4911160?
1
What is the ten thousands digit of 359573?
5
What is the tens digit of 113980?
8
What is the tens digit of 494334?
3
What is the thousands digit of 915681?
5
What is the hundred thousands digit of 10198769?
1
What is the ten thousands digit of 99387?
9
What is the tens digit of 4094072?
7
What is the units digit of 535573?
3
What is the hundreds digit of 3820162?
1
What is the ten millions digit of 15572538?
1
What is the ten thousands digit of 953027?
5
What is the millions digit of 23495254?
3
What is the tens digit of 206068?
6
What is the tens digit of 547870?
7
What is the ten thousands digit of 2139986?
3
What is the hundred thousands digit of 3778388?
7
What is the tens digit of 456251?
5
What is the hundreds digit of 1439061?
0
What is the hundreds digit of 212420?
4
What is the millions digit of 2292512?
2
What is the units digit of 33987?
7
What is the tens digit of 418765?
6
What is the units digit of 1504886?
6
What is the units digit of 694978?
8
What is the units digit of 4104921?
1
What is the millions digit of 15925570?
5
What is the tens digit of 364282?
8
What is the ten thousands digit of 226380?
2
What is the hundred thousands digit of 359254?
3
What is the hundred thousands digit of 110144?
1
What is the units digit of 850046?
6
What is the thousands digit of 128099?
8
What is the tens digit of 25108?
0
What is the tens digit of 1479953?
5
What is the ten thousands digit of 308376?
0
What is the ten thousands digit of 2286107?
8
What is the tens digit of 18374?
7
What is the hundred thousands digit of 18186956?
1
What is the millions digit of 20264788?
0
What is the tens digit of 11114219?
1
What is the tens digit of 729598?
9
What is the hundred thousands digit of 125195?
1
What is the tens digit of 1104541?
4
What is the ten thousands digit of 334488?
3
What is the tens digit of 85730?
3
What is the millions digit of 1046245?
1
What is the hundreds digit of 778601?
6
What is the units digit of 228778?
8
What is the units digit of 360112?
2
What is the hundreds digit of 3280692?
6
What is the hundred thousands digit of 206762?
2
What is the thousands digit of 84947?
4
What is the hundreds digit of 2796726?
7
What is the ten thousands digit of 16302887?
0
What is the tens digit of 165938?
3
What is the tens digit of 196649?
4
What is the thousands digit of 17955?
7
What is the tens digit of 180591?
9
What is the tens digit of 120024?
2
What is the hundred thousands digit of 5798868?
7
What is the thousands digit of 984483?
4
What is the units digit of 3723982?
2
What is the hundred thousands digit of 1045910?
0
What is the ten thousands digit of 419373?
1
What is the thousands digit of 1309133?
9
What is the hundreds digit of 239805?
8
What is the ten thousands digit of 194982?
9
What is the hundred thousands digit of 369906?
3
What is the ten thousands digit of 14466381?
6
What is the hundreds digit of 15857579?
5
What is the units digit of 3026137?
7
What is the hundreds digit of 1409675?
6
What is the ten thousands digit of 10527606?
2
What is the ten thousands digit of 4783789?
8
What is the tens digit of 235600?
0
What is the hundred thousands digit of 319954?
3
What is the tens digit of 378081?
8
What is the ten thousands digit of 2076015?
7
What is the hundred thousands digit of 1698943?
6
What is the thousands digit of 1421065?
1
What is the thousands digit of 1737400?
7
What is the ten thousands digit of 55902?
5
What is the tens digit of 4841571?
7
What is the tens digit of 22366?
6
What is the hundreds digit of 55573?
5
What is the tens digit of 334575?
7
What is the tens digit of 1176866?
6
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
ve m.
3
Rearrange (-81*k + 0 + 1 + 75*k)*(-3*k**2 + 3*k**2 + k**2) to r*k + x*k**2 + l*k**3 + p and give l.
-6
Rearrange (4 + 3*a - 4)*(-36*a**2 + 36*a**2 + 3*a**3) to the form v + n*a**3 + c*a**4 + w*a**2 + k*a and give v.
0
Rearrange 11*w + 2 + 3*w**2 - 7*w**2 - w**3 - 26*w + w**4 + 14*w to the form k*w**2 + l*w**4 + y + s*w + m*w**3 and give l.
1
Express 4*m**3 + 36 + m**2 - 39 - 2*m**3 - 2*m**4 + 0*m**3 in the form q*m**4 + n + o*m**2 + z*m + s*m**3 and give n.
-3
Rearrange -9 + 24*t + 30*t - 52*t to k + u*t and give k.
-9
Rearrange 3 - 2*j**2 - 3 + (0 + 0 - 2)*(-j + 2*j + 2 + 2)*(j - j + 4*j) to the form k + z*j**2 + a*j and give z.
-10
Rearrange (18*o**2 - 2*o**2 + 27*o**2)*(-3*o - 2*o + o) to the form v*o**2 + f + q*o + b*o**3 and give b.
-172
Express 23 - 63*m + 30*m - 10 + 32*m as c + i*m and give i.
-1
Express -42*g**3 + 44*g**3 + 0*g + g + g**2 as j*g + s + a*g**2 + r*g**3 and give j.
1
Express 4*a - 5*a + 11*a + (0 - 1 + 3)*(-6*a - 3*a + 3*a) as x + b*a and give x.
0
Express (-7 - 9 + 5)*(2 - 2 + 3*i) as r + y*i and give y.
-33
Rearrange q**2 - 8*q + 6*q**2 + q**2 to n + p*q + x*q**2 and give x.
8
Rearrange -5 - 2*l**2 + 2*l - 4 + 2*l**3 + 9 to the form q*l**2 + b*l + x*l**3 + a and give x.
2
Rearrange 5*t**4 - t**4 + 11*t**4 + (1 - 2*t**2 - 1)*(t**2 + 2*t**2 - 4*t**2) to the form d*t**4 + b*t**3 + z*t**2 + p + j*t and give z.
0
Rearrange -93*r**3 + 2*r + 183*r**3 - 1 - 94*r**3 - 3*r**4 - 3*r**2 to i + l*r + n*r**4 + t*r**3 + z*r**2 and give t.
-4
Express 10*a**3 + 3 - 3 + 1 + 6*a**3 as g*a**2 + d + b*a + f*a**3 and give d.
1
Rearrange -4*u**2 + 6*u + 2463 - 2463 to k*u + a*u**2 + r and give a.
-4
Rearrange (-4 - 1 - a + 0*a)*(0*a**2 - a**2 + 3*a**2 + 2*a) to b*a**2 + w*a + j + d*a**3 and give d.
-2
Express -8*i + 30*i + 25*i - 11*i in the form z*i + n and give z.
36
Express -112*g + 1 + 2*g**2 + 112*g as m + v*g + l*g**2 and give v.
0
Express (0*l**4 + 0*l**4 - l**4)*(-4 + 3 + 2) + 9*l**2 + 2*l**4 - 9*l**2 as q*l**4 + y + i*l**2 + u*l**3 + x*l and give q.
1
Rearrange -2*c**3 - 4*c**2 - 7*c - 120*c**4 + 5*c**2 + 121*c**4 - 2*c**3 to y*c**3 + o*c**4 + t + d*c**2 + j*c and give t.
0
Rearrange 4*i**3 - 9*i**2 + 7*i**2 + 7*i**3 to the form p*i**3 + c + y*i**2 + g*i and give p.
11
Express -1 + 1 - 2*v**2 + (3*v + v**2 - 3*v)*(-3 + 8 + 4) + 0*v + 0*v - 3*v**2 as t*v**2 + y + f*v and give t.
4
Express -12*y + 7*y + 3*y + 5*y in the form i + o*y and give o.
3
Rearrange (41 + 43 - 25)*(t + 2*t - 5*t) to the form d*t + j and give d.
-118
Rearrange -o**2 + o - 4*o**2 + 7*o**2 to the form f*o + a*o**2 + j and give f.
1
Rearrange -f**2 + 5*f - f - 9*f to the form y + o*f**2 + p*f and give p.
-5
Rearrange -q - 3*q + 2*q**2 - 4*q**2 + (-2*q - 4 + 4)*(5*q + 9 - 9) to the form z*q + w*q**2 + d and give z.
-4
Rearrange ((a + a + 0*a)*(-5*a + 0*a + 3*a) - 18*a + 3*a**2 + 18*a)*(-5 + 3 - 2*a + 1) to the form o + r*a + m*a**3 + x*a**2 and give m.
2
Express (110*f + 108*f - 213*f)*(-2 + 2 + 2*f**2) as j + s*f + w*f**3 + u*f**2 and give s.
0
Rearrange (23*t + 8*t + 4*t)*(-t**2 + 0 - 2*t**2 - 1) to the form h*t + d*t**3 + p*t**2 + n and give h.
-35
Express f + 10*f - f in the form g*f + a and give a.
0
Express 2*t**3 + 22 - 1 + 0*t**3 + t**2 in the form w + a*t + j*t**3 + n*t**2 and give n.
1
Express -4*p + p + 5*p + (0*p + p - 2*p)*(2 - 1 + 2) + 7*p + 10*p - p as w*p + v and give w.
15
Express (-c - 4*c + c)*(2 - 2 + 2*c) + 2*c**2 + 0*c**2 + 0*c**2 + 0*c**2 - c**2 - c**2 + (-1 - 2*c + 1)*(2 - 2 - c) as s*c + h + j*c**2 and give j.
-6
Express -18*y**2 + 14*y + 7*y**2 + 12*y**2 as u + f*y + w*y**2 and give w.
1
Rearrange 2*h**3 + h**2 - h**2 + (2*h + 0*h - h)*(0*h - 6*h + 4*h)*(h - 5*h + h) to z*h**3 + n*h**2 + g*h + y and give z.
8
Express -5*w**3 - 10*w**3 - w + 16*w**3 in the form u*w**2 + m + x*w**3 + d*w and give d.
-1
Rearrange (2*d + 17*d - 3*d)*(0*d + 0*d + d)*(-d + 4 - 4) to n*d + f*d**2 + y + v*d**3 and give v.
-16
Express (37 - 19 - 14)*(r**2 + 2 - 2) in the form z + h*r**2 + o*r and give h.
4
Rearrange (7*a**2 - 3*a**2 + 3*a**2)*(0 + 0 + a) + 3*a**3 - a**3 + 0*a**3 to the form d*a + t + c*a**3 + v*a**2 and give c.
9
Express -37*q - 83 + 83 in the form k*q + w and give k.
-37
Express 7*m**2 + 43*m**2 - 175*m + 173*m as n*m**2 + z*m + p and give z.
-2
Express -7*f**2 + 23*f**2 - 11*f**2 + 8*f in the form h + j*f**2 + m*f and give m.
8
Express 2*b**4 - 3 + 2*b**2 + 2*b - 1361*b**3 + 1363*b**3 + 1 in the form g*b + u*b**3 + p*b**4 + z + o*b**2 and give o.
2
Express (-t + 3*t - 31 + 3*t**2 + 32)*(0*t**2 + 0*t**2 + 2*t**2) in the form h*t + v*t**2 + k*t**3 + u*t**4 + i and give v.
2
Rearrange -15 - 20*n - 4 + 18*n to h + k*n and give k.
-2
Express (-3*i**2 + 7 - 7 + (i**2 + i**2 - i**2)*(-3 - 3 + 5))*(4*i - i - 4*i) - 4*i**3 - 11*i**3 - i**3 in the form p + f*i**3 + m*i**2 + g*i and give f.
-12
Express (0 + 9 + 9)*(2*d - 3*d + 3 + 0*d) as u + a*d and give a.
-18
Rearrange (2 - 1 + 2)*(3*r - 2*r + 3*r)*((0 + 6 - 3)*(-4 + 2 + 3) - 5 + 1 + 3 + (0 + 4 - 2)*(-1 + 4 - 2)) to f*r + x and give f.
48
Express 6*q**3 + 0*q**3 - 2*q + 0*q**3 + q**3 in the form r*q + d*q**2 + h*q**3 + b and give h.
7
Rearrange (111*r - 184 - 186 + 370)*(r + 0*r + 0*r) to y + z*r**2 + n*r and give z.
111
Express (-9 + 21 + 19)*(2*v - 6*v + 3*v) in the form n*v + l and give n.
-31
Rearrange 15*i - i - i - 2*i to x*i + s and give x.
11
Rearrange z - 1 + 1 + (-16 + 11*z + 21 - 8)*(1 + 2 + 0) to h*z + a and give h.
34
Rearrange -4*d + 0*d + d + 3*d - 3 - d + 2 + (-3*d + 1 - 1)*(1 - 2 - 5) to the form j + i*d and give i.
17
Rearrange 6*p**3 - 5*p**3 - 2 - 3*p**3 - 2*p**3 + 3*p**2 to the form d*p**3 + w*p**2 + r*p + z and give r.
0
Rearrange -160*o - 2*o**3 + 81*o - 2*o**2 + 80*o - 1 to the form r*o + m + v*o**3 + c*o**2 and give c.
-2
Rearrange -14*i + 0 - 50*i + 0 to x + y*i and give y.
-64
Express -c**3 - c + 6 + 3*c + 0*c**3 - 4 in the form w*c + n*c**3 + m*c**2 + p and give w.
2
Rearrange 117 - 233 + 116 - 93*v to the form h + g*v and give g.
-93
Rearrange 5*k - 3*k + 17 + 8 - 12 to r*k + f and give r.
2
Express -2*k**2 - k**3 + 2*k**3 - k**3 + 2*k**4 - k - 1 in the form c + s*k + m*k**4 + z*k**3 + l*k**2 and give c.
-1
Rearrange 2*z**3 + 0*z**3 + 5*z - 4*z to the form r*z**3 + v + k*z + h*z**2 and give k.
1
Express (-4 + 4 + n)*(0*n - 2*n**2 + 0*n) + 2*n + 735*n**3 - 807*n**3 - 2*n in the form w*n**3 + t + a*n**2 + i*n and give t.
0
Express 62 - 62 - 8*q in the form u + w*q and give w.
-8
Express -27*m**2 - 5*m**4 - 35*m**2 + 2*m - m**3 + 70*m**2 + 1 in the form q*m + t*m**4 + w + h*m**3 + p*m**2 and give h.
-1
Express (5 + 2 - 4)*(2*w - 2*w - 2*w + (4 - 4 - w)*(2 + 0 + 0))*(-3*w - 2*w + 3*w) as y + g*w + h*w**2 and give h.
24
Express -2 + 4 + w - 3*w**2 + 3*w**4 - 5*w**4 in the form t*w**3 + i*w**4 + d + a*w + h*w**2 and give h.
-3
Rearrange 13*b**3 + 10*b**3 + 2 - 20*b**3 to the form o*b**3 + m*b**2 + p + i*b and give p.
2
Express (0 + 1 + 0)*(-2*f**3 - 3*f**3 + 4*f**3) - 9*f**3 - 7*f**3 - 10*f**3 + 0*f**3 - 2*f**3 + f**3 as n*f**2 + p + h*f**3 + b*f and give h.
-28
Express -11*n**3 - 1 + 3 - 137*n + 134*n as d*n**2 + g*n**3 + a + x*n and give x.
-3
Express (62*l - 163*l - 85*l)*(-2*l - 2*l + 3*l) in the form j + y*l**2 + n*l and give y.
186
Rearrange 2*t + 2*t - 4*t + 40*t to the form k*t + q and give k.
40
Rearrange 5*t**2 + 2 - 10*t**4 + 8*t**4 - 4 to the form v*t**3 + y*t**4 + m*t**2 + u + x*t and give u.
-2
Rearrange (-2 - 2 + 2)*(-70*q**2 - 57*q**2 + 93*q**2)*(0 - 3 + 2) to the form l*q**2 + i + p*q and give l.
-68
Express 2*h**2 + h**2 + 0*h**2 + 7*h**2 + 0 + 0 - h**2 + (4*h**2 + 0*h**2 - 3*h**2)*(-2 - 2 + 3) as n*h**2 + w + d*h and give n.
8
Express 2*o - 22*o - 5*o as h*o + w and give h.
-25
Express -17 - m**3 + 2*m + 4*m**4 + 14 + 0*m as p*m + t*m**4 + v + h*m**2 + y*m**3 and give v.
-3
Express 4*p - p**3 + 2*p**4 - 2*p + 3*p**2 + 69 - 70 - 4*p**2 as v*p**3 + b + t*p + n*p**2 + o*p**4 and give b.
-1
Express 3*f + 4 + 2*f + 8*f - 10*f as d*f + h and give d.
3
Express (0 - 1 + 2)*(5*u + 6 - 4 - 38*u) as f + x*u and give x.
-33
Express 9*j - 13*j + 6*j + 6 in the form f + o*j and give f.
6
Express 0*m + 6*m**2 - m + m as r + v*m**2 + s*m and give v.
6
Express -v**2 + 2*v**3 - 4*v + 2*v + 10*v in the form x*v + g*v**3 + a + w*v**2 and give g.
2
Express -v - 7*v**2 - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
of -h**2*k**2 - 13*h**2 - 5501*h*k**4 - 321*h*k wrt k?
-2*h**2 - 66012*h*k**2
What is the third derivative of -464*a**4*i + 2*a**3*i**2 + 2*a**2 + 864*a*i**2 wrt a?
-11136*a*i + 12*i**2
Find the third derivative of -19*t**4 - 35*t**3 + 10*t**2 - 96*t + 2.
-456*t - 210
What is the second derivative of 3*r**3*x - 144*r**3 + r**2*x - 39*r*x + 17*x wrt r?
18*r*x - 864*r + 2*x
What is the third derivative of u**3*y**3 + 2*u**3 - 128*u**2*y**2 - 9*u*y**6 - y wrt y?
6*u**3 - 1080*u*y**3
Find the third derivative of -5*h*m*w**4 + 18*h*m + 3*h*w**2 - 43*m*w**4 - m*w**2 wrt w.
-120*h*m*w - 1032*m*w
Find the second derivative of -2*n**3*p**3 - n**2*p**3 - n**2 + 4*n*p + 14*n + 2*p**3 wrt n.
-12*n*p**3 - 2*p**3 - 2
Find the third derivative of -3248*l*o**5 + 13*l*o + 354*o**2 wrt o.
-194880*l*o**2
What is the second derivative of a**3 + 398*a**2 - 68*a + 3?
6*a + 796
What is the first derivative of -i**3*j**2 - 9*i**2*j**2 + 5*i + 185*j**2 + 22 wrt i?
-3*i**2*j**2 - 18*i*j**2 + 5
What is the second derivative of -3570*b**3 - 797*b - 5?
-21420*b
What is the third derivative of -47*f**6 - 2*f**5 + 40*f**2 + 1?
-5640*f**3 - 120*f**2
What is the derivative of -b*n*x**2 + 6*b*x**3 + 26*n*x**3 + 9*x**2 wrt n?
-b*x**2 + 26*x**3
What is the third derivative of -11*w**6*y**3 - 53*w**4*y**3 - w**2*y**3 + 9*w**2 - 12*w*y**3 wrt w?
-1320*w**3*y**3 - 1272*w*y**3
What is the derivative of -876*l - 1122 wrt l?
-876
What is the second derivative of 112*x**3 - 145*x wrt x?
672*x
What is the first derivative of -2*w**2 - 601*w - 767 wrt w?
-4*w - 601
Find the second derivative of -3*h**3*i**2 - 641*h**2*i - 2*h*i**2 - 5725*h*i wrt h.
-18*h*i**2 - 1282*i
Find the second derivative of q**2*w**3 + 2144*q**2*w**2 - 2*q + 4*w**3 + 45*w wrt q.
2*w**3 + 4288*w**2
Find the second derivative of 20*q**4 + 9*q**2 + 67*q - 2 wrt q.
240*q**2 + 18
Find the second derivative of -436*a*d**3 + 4*a*d + 2*d - 11 wrt d.
-2616*a*d
Find the first derivative of -18*a**4*c**2 - 7*a*c**2 + 37*c**2 - c wrt a.
-72*a**3*c**2 - 7*c**2
Find the third derivative of 19*a**3*n**3 + 2*a**3 + 2*a**2*n**3*z - 2*a**2*n**2*z + 5*n**3*z - n**2 + 6*n wrt n.
114*a**3 + 12*a**2*z + 30*z
What is the third derivative of -55*h**3*l**4 + 90*h**3*l**2 + 8*h*l**6 - 6*l wrt l?
-1320*h**3*l + 960*h*l**3
Find the first derivative of -132*n**2 + 3*n - 1214 wrt n.
-264*n + 3
What is the third derivative of g**3*w**2*z - 17*g**3*z + 407*g**2*w**2 - g**2*w*z - 2*g**2*z wrt g?
6*w**2*z - 102*z
What is the second derivative of 7*k**5 + 5*k**2 + 68*k wrt k?
140*k**3 + 10
Find the first derivative of -288*u**4 - 401 wrt u.
-1152*u**3
What is the derivative of 217*g**3 + 860?
651*g**2
Find the first derivative of 58*p*z**4 - 6*p wrt z.
232*p*z**3
What is the first derivative of 3*m**2*w**2 + 93*m**2 - 3*m + 45*w**3 wrt w?
6*m**2*w + 135*w**2
What is the first derivative of 51*s**3 + 223?
153*s**2
What is the derivative of -52*b*i*o**3 - 2*b*o**3 + 12*i*o**3 + 3*i*o**2 + 15*o**3 wrt b?
-52*i*o**3 - 2*o**3
Find the third derivative of -2*c**2*i**4 + 138*c**2*i**3 - c**2*i**2 - 108*c**2 wrt i.
-48*c**2*i + 828*c**2
What is the derivative of 2*r**3 + 74*r*w - 743*w - 2 wrt r?
6*r**2 + 74*w
Find the second derivative of -2*s**3*u**3 - 13343*s**3*u + 2*s*u**3 + 76*s*u - 2*s + 3*u**3 wrt s.
-12*s*u**3 - 80058*s*u
What is the derivative of -448*c**2*m - 415*c**2 wrt m?
-448*c**2
Differentiate -2*f**3*o - 4*f**3 - 48*f**2*o + 2*o + 2465 wrt f.
-6*f**2*o - 12*f**2 - 96*f*o
What is the second derivative of 562*u**2 + 272*u?
1124
Find the second derivative of -2*p*s**3 - 55*p*s**2*t*y - 2*p*s - p*y**2 - 2*p*y - 4*s**2*y**2 + s*t*y + 3*s*t wrt s.
-12*p*s - 110*p*t*y - 8*y**2
Find the second derivative of f**2*v**4 + 2*f**2 - 61*f*v**2 + 39*f*v + 5*v**4 + 2*v wrt v.
12*f**2*v**2 - 122*f + 60*v**2
Find the second derivative of -94*u**2 + 17*u wrt u.
-188
What is the first derivative of 6*z**4 + z**3 + 53*z + 2498?
24*z**3 + 3*z**2 + 53
Find the third derivative of p**3*w*y**3 + 24*p**3*w*y**2 - 5*p**3*y**3 - 2*p**3 - 5*w*y**3 + w*y - y wrt y.
6*p**3*w - 30*p**3 - 30*w
Find the second derivative of -20*z**4 - 4*z**3 + 6*z**2 - 471*z.
-240*z**2 - 24*z + 12
What is the second derivative of 7*o**3*v**2 - 27*o**3*v - 5*o**2*v - 62*v**3 wrt v?
14*o**3 - 372*v
What is the first derivative of 404*n**4 + 653 wrt n?
1616*n**3
Find the third derivative of 35*o**4 + 2*o**3 + 1294*o**2 + 2*o - 2 wrt o.
840*o + 12
What is the third derivative of -21*k**6 + 2*k**5*x**2 - 270*k**2*x**2 + 4*x**2 + 2*x wrt k?
-2520*k**3 + 120*k**2*x**2
Find the third derivative of -2*w**4 - 14*w**3 + 399*w**2 + 1.
-48*w - 84
What is the third derivative of 6*b**4 + 58*b**3 + 2177*b**2?
144*b + 348
What is the derivative of -296*t**3 + t**2 + 5117?
-888*t**2 + 2*t
Find the second derivative of 2*b**3*i**3 - b**3 + 176*b*i**5 + 25*b*i wrt i.
12*b**3*i + 3520*b*i**3
What is the first derivative of 9*k**2*m - 2*k**2*t - 2*k*m*t - 15*m*t + 2*t wrt k?
18*k*m - 4*k*t - 2*m*t
Differentiate 29*a**3 - 7*a**2 - 4*a + 8748.
87*a**2 - 14*a - 4
Differentiate -196*v**4 - 25 with respect to v.
-784*v**3
What is the derivative of -13*a**2*c*n + 55*a**2*n + 11*a*c*n - 5*n wrt c?
-13*a**2*n + 11*a*n
Find the second derivative of 298*h**2 - 544*h wrt h.
596
What is the first derivative of 5145*h**3*w - 6*h**3 - h + 105 wrt w?
5145*h**3
Find the second derivative of 91*b**5 - 6*b**4*g - 2*b**3 + 3*b*g + 4*b + 49*g wrt b.
1820*b**3 - 72*b**2*g - 12*b
What is the derivative of -1362*y + 2491 wrt y?
-1362
Find the first derivative of 16*a**2*c - a**2 + 89*a*c + 442*a - 2 wrt c.
16*a**2 + 89*a
Find the third derivative of -y**6 - 416*y**5 - 12*y**3 + 2428*y**2 - 2*y - 2 wrt y.
-120*y**3 - 24960*y**2 - 72
What is the third derivative of -181*i**3 - 11*i**2 + 2 wrt i?
-1086
What is the second derivative of b**5 - 13*b**2 + b + 19 wrt b?
20*b**3 - 26
What is the first derivative of 91*a**4 + 5*a**2 + 2964?
364*a**3 + 10*a
Differentiate 143*a**2*p*z**2 - 3*a**2*z**2 - 791*a*z**3 + 2*p*z**3 - z**3 wrt p.
143*a**2*z**2 + 2*z**3
Find the second derivative of -1448*m**4 + 5*m - 123 wrt m.
-17376*m**2
What is the derivative of -8410*n**3 - 6540?
-25230*n**2
Find the third derivative of c*s**4 + 407*c*s**3 + 2*c*s - 4*s**5 + 5247*s**2 wrt s.
24*c*s + 2442*c - 240*s**2
What is the second derivative of -20144*d**5 - 3019*d + 2 wrt d?
-402880*d**3
Find the second derivative of 1759*h**5 - 2365*h.
35180*h**3
Find the second derivative of -587*i**3 + 605*i.
-3522*i
Find the third derivative of 87*b**6*k + b**5*k + 108*b**2 + 7*k wrt b.
10440*b**3*k + 60*b**2*k
Differentiate -21*o**3*q**4 - 2*o**3*q**2 - 2*o**3 - q**2 - 86 with respect to q.
-84*o**3*q**3 - 4*o**3*q - 2*q
What is the first derivative of 815*l**2*m**3 - 302*l**2 - 2*l*m**3 + 3*l wrt m?
2445*l**2*m**2 - 6*l*m**2
Find the third derivative of 17*q**6 - 44*q**5 + 1702*q**2 wrt q.
2040*q**3 - 2640*q**2
Differentiate -2150*r + 2244 wrt r.
-2150
Differentiate -234*r*s*t + 2*r*s*u**2 - r*s*u + 2*r*t*u**2 + 2*r*t*u - 86*r*t - 4*r*u**2 wrt s.
-234*r*t + 2*r*u**2 - r*u
What is the third derivative of -11*v**3 - 173*v**2?
-66
Find the third derivative of -275*p**4 - 678*p**2 wrt p.
-6600*p
Find the first derivative of 9*g**3*o**2 + 8*g**3*o - 222*g**3 + g**2*o wrt o.
18*g**3*o + 8*g**3 + g**2
Find the third derivative of -1261*d**2*f**6 - 48*d**2*f**2 - 4*d*f**2 + f**6 wrt f.
-151320*d**2*f**3 + 120*f**3
Find the second derivative of 268*c**3 + 6*c + 199.
1608*c
Find the third derivative of -96*j**3 + 16*j**2 + 106*j + 2 wrt j.
-576
Find the third derivative of -3*c**5 + 35*c**3 + 108*c**2 wrt c.
-180*c**2 + 210
What is the derivative of -114*d**2 + 176?
-228*d
Find the third derivative of 3070*c*d**3*v**2 - c*d**2*v + 2*d**3*v - 228*v**2 - v wrt d.
18420*c*v**2 + 12*v
What is the first derivative of -21324*j + 34852?
-21324
What is the third derivative of -67*i**4 + 72*i**3 + i**2 + i - 331?
-1608*i + 432
What is the second derivative of -5*a**3*u**2 + 2*a**3*u - 26*a**3 - 2*a*u**2 + 19*a*u wrt u?
-10*a**3 - 4*a
What is the third derivative of -77*g**3*h**4 + 22*g**3*h + g**2 - 3*h**4 + h**2 wrt h?
-1848*g**3*h - 72*h
Find the third derivative of -3*d**3*j + 74*d**3 - d**2*j - 29*j - 1 wrt d.
-18*j + 444
Differentiate -2*d**3*z**3 + 2157*d**3 + 20*d**2*z**3 wi
|
{
"pile_set_name": "DM Mathematics"
}
|
4, -8 = 2*k - 3*r - 2 for k.
3
Solve 4 = -0*n - 2*n - 4*k, 5*n + k + 10 = 0 for n.
-2
Solve 0 = -2*i - 4, 5*i = 573*f - 570*f + 2 for f.
-4
Solve -t = 4*c - 7, 0 = -3*t - 13*c + 9*c - 3 for t.
-5
Solve 0 = -5*a - 185*t + 188*t - 8, 0 = 5*a + 2*t + 3 for a.
-1
Solve 0 = r, 0*g = -3*g + 4*g - r for g.
0
Solve -1 = -2*x - j, -53*x + 49*x + 4*j = -32 for x.
3
Solve 3*n - 2*y = -8, 4*n + 5*y + 6 + 20 = 0 for n.
-4
Solve -4*s - 3*r - 498 = -511, -5*s - 4*r + 16 = 0 for s.
4
Solve -2*t - 31 = 5*w - 4*t, 2*t = -w + 1 for w.
-5
Solve -5*k = -0*s - 4*s - 7, 5*s + 4*k = 22 for s.
2
Solve 5*r = h - 11, 4*h - 7*h - 15 = r for h.
-4
Solve 0 = -i - 3*c + 1, 15 = 5*i + 12*c - 7*c for i.
4
Solve -3*v + 4*w - 2 = 0, -5*v + 25*w - 21*w = 6 for v.
-2
Solve -f - 3*h + 7 = 0, -4*h = 8*f - 10*f - 16 for f.
-2
Solve -2 = 2*j - 2*o, 5*o + 7 = 4*j + 16 for j.
4
Solve i = -4*r + 5*r - 3, -4*i - 8 = -2*r for i.
-1
Solve 2 = -2*p - l, l = -1 + 5 for p.
-3
Solve 16 - 4 = -2*h - 2*a, h + 12 = -4*a for h.
-4
Solve 12*n + 4*s - 20 = 10*n, -4*n + 34 = 5*s for n.
6
Solve 4*k + 12 = i, -75*i - 18 = -k - 80*i for k.
-2
Solve -13*c = 2*q - 11*c + 4, -3*c - 9 = 4*q for q.
-3
Solve -108*h + 110*h - 4*v = 4, 0 = h + 3*v + 8 for h.
-2
Solve 2*h - g = 5, 4*g - 17 + 27 = 3*h for h.
2
Solve 17 = 4*u + 3*r, -139*u + 4 = -138*u + r for u.
5
Solve 0 = 5*c, 5*w - 3 = 4*w - 2*c for w.
3
Solve 318*o - 319*o + 2*w = 11, -3*o = w - 2 for o.
-1
Solve 3*v = 2*d + 1 + 3, -10 = -5*v for d.
1
Solve -2*v - 8*h - 7 = -5*h, -2*v - 3 = -h for v.
-2
Solve -2*p - g + 4 = 0, -p + 16 = 20*g - 23*g for p.
4
Solve 3*i + 6 = v, 0 = 5*i - 2*v + 5*v + 24 for i.
-3
Solve 23*c - 26*c + 3*l + 15 = 0, -c + 2*l = -10 for c.
0
Solve u + 4*u + 4*g = -19, -1 = 2*u - 5*g for u.
-3
Solve 0 = -3*z + 3*g - 21, -3*g = 4*z + 21 - 7 for z.
-5
Solve 0 = 4*z + 2*w, -z + 3*w + 9 - 2 = 0 for z.
1
Solve 82*r = 2*o + 78*r + 30, 3*o = -4*r + 5 for o.
-5
Solve -2*x = -2*p, p - 4*x + 3 = 6 for p.
-1
Solve 3*s + s - 4 = 0, -3*a - s + 13 = 0 for a.
4
Solve 3*w + 11 = s - 5, -32 = 2*w - 6*s for w.
-4
Solve 2*x + 15 = -3*h, 0*x = 4*h - 3*x + 20 for h.
-5
Solve 20 = 5*m - 2*i, 5*i = 4*m + i - 16 for m.
4
Solve -h + 3 = -3*p, 1 = -3*p - 5 for h.
-3
Solve -l - 9 + 4 = -s, l = -4*s + 10 for l.
-2
Solve -5*n + 15 = -4*m, 27*m + 2*n - 6 = 24*m for m.
0
Solve 0 = -2*j + 5*o - 10*o - 9, 4*j - 3*o + 5 = 0 for j.
-2
Solve 3*d = 10*r - 15*r + 25, 5*r = -4*d + 25 for r.
5
Solve 4*y - q - 20 = 0, 5*q + 3 + 13 = -y for y.
4
Solve w + 19 = 4*m, -4*m + w + w = -22 for m.
4
Solve -1 = -u + 5*v, 7 - 3 = 4*u + 2*v for u.
1
Solve -4*b = 5*l - 7*b + 10, -4*l + 3*b - 5 = 0 for l.
-5
Solve 10 = 5*x + 2*z, 0*z = 5*x - 3*z - 35 for x.
4
Solve -13 = 3*j - 2*b - 8, b = 5*j + 6 for j.
-1
Solve -u + 3*u + 13 = -5*h, -2*h + 3*u - 9 = 0 for h.
-3
Solve -5*a + 5 = -5*y, -a - 14 = -15*y + 17*y for a.
-4
Solve -5*y - 70 = 9*m - 13*m, 3*y = 5*m - 55 for m.
5
Solve 19*o - 15*o - 28 = -2*r, -r + 4 = 0 for o.
5
Solve 3*s + 5*q = -14, 4*s = -5*q - 2 - 10 for s.
2
Solve -k - 3*w = 2*k + 9, 11 = -4*k - 3*w for k.
-2
Solve 0*b + 3*u - 11 = b, 1 = 5*b - u for b.
1
Solve 2*w = 8, -5*s - 4*w - 3 = -34 for s.
3
Solve -2*r + 10 = 0, 4*q - 5*r - 10 = -35 for q.
0
Solve -4*l + 12 = 2*i, -i - l + 79 = 77 for i.
-2
Solve -5*x - 22 = -4*r, 0 = x + 3*r - 4 - 3 for x.
-2
Solve 0*r - 4*r = 2*l + 2, 0 = -3*l - 3*r + 3 for l.
3
Solve -10 = 4*y + d - 1, 26 = -y - 5*d for y.
-1
Solve -4*h + 4*k + 45 - 57 = 0, 3*h - 2*k + 9 = 0 for h.
-3
Solve 0 = 2*i + 4*p - 9*p + 14, -4*i = 4*p - 28 for i.
3
Solve 2*a + 11 = -5*t, 2*a + 36 - 34 = 4*t for a.
-3
Solve 5*z - 446 = -h - 428, 5*h + 4*z - 6 = 0 for h.
-2
Solve -5*m - 152*q = -151*q + 2, -4*q = -12 for m.
-1
Solve -m = -3*m - 4*s + 8, -3*m + s - 16 = 0 for m.
-4
Solve 5*i - 10*w + 5*w - 20 = 0, 5*i = -4*w - 7 for i.
1
Solve 10 = 5*l, 3*l + 3 = -j - 2*j for j.
-3
Solve 2*q = -4*c - 14, 21*q - 25 = 16*q for c.
-6
Solve 2*s - 12*l = -13*l + 3, -5*s = 3*l - 10 for s.
-1
Solve -3*l - 2*a - 5 = 0, 7*l = 5*l + a + 6 for l.
1
Solve 4*d = -2*k - d, k - 4*d - 13 = 0 for k.
5
Solve -14 = 2*i - 2*h, h + 3 = -3*i - 6 for i.
-4
Solve 12 = b - 4*v - 4, 16 = -b - 4*v for b.
0
Solve j + 4*w + 20 = 5, 0 = 4*w + 12 for j.
-3
Solve 3*l + 19*j - 5 = 21*j, 2*j - 4 = 0 for l.
3
Solve -2*n - 4*m + 22 = 0, -4*m - 7 = -27 for n.
1
Solve 5*s + 5 = 0, -4*s - 90 = 3*u - 101 for u.
5
Solve 28*x - 25*x = -s - 4, 0 = x for s.
-4
Solve 13*p + 3*u + 16 = 14*p, -2*p + u = -7 for p.
1
Solve 34*w = 35*w + 3*q - 16, 24 = 3*w + 3*q for w.
4
Solve k + 8 = 3*q, -2*q - 5*k = 3*q for q.
2
Solve 3*r = 3, -2*m + 10 = 3*r + 13 for m.
-3
Solve 21 = t + 3*l, t + 170*l - 165*l - 33 = 0 for t.
3
Solve 3*i = -c + 9, 21*c + 5*i = 24*c + 43 for c.
-6
Solve -2*n + 14 = -0*n + 4*l, -4*n + 5*l + 2 = 0 for n.
3
Solve -4*c = 5*u - 17, 3*c = u - 4 - 7 for u.
5
Solve -4*d - l - 18 = -0*d, 4*l - 33 = 5*d for d.
-5
Solve -5*w - 3*l = 27, 0*w + 4*l = -w - 19 for w.
-3
Solve -3*k - 2 = -5*j, 15*k - 13*k = -8 for j.
-2
Solve -5 = h + x, 4*h - 3*x - 3 = 5 for h.
-1
Solve i + 0*q - 17 = 5*q, 0 = 5*i + 2*q + 23 for i.
-3
Solve w = 3, 3*a + 3*w = -2*a - 1 for a.
-2
Solve -c + 5*y - 8 = 3*c, 5*c = 3*y + 3 for c.
3
Solve 5*b - 3*z + 0*z = -6, z = b for b.
-3
Solve -33 = -4*t - 3*n - 32, t + 11 = 3*n for t.
-2
Solve -18*w + 16*w + 21 = 5*l, -15 = -5*l for w.
3
Solve 0*o + o - 2*d = 7, -4*o - 50 = 5*d for o.
-5
Solve d + d = 5*v - 18, -2*v + 24 = -5*d for v.
2
Solve -5*a - 5*c + 15 = 0, -14*c + 19*c - 6 = -2*a for a.
3
Solve 2*d = -3*j + 6, -d - 13 = -2*d - 4*j for d.
-3
Solve 0 = 2*y + 3*s + 21, 4*y = 6*y + s + 11 for y.
-3
Solve -6 = 2*f + 4*k, 73 - 61 = 4*f - 4*k for f.
1
Solve 5*a + 43 = -5*p + a, -5*p - 41 = 3*a for p.
-7
Solve -4*a = 4*t - 4, -11 - 12 = -2*a + 5*t for a.
4
Solve 4*p + 8 = -3*y, -150*p = -154*p + 4*y - 36 for p.
-5
Solve 0 = 2*d + 4*h - 22, 65*d - 60*d - 10 = 5*h for d.
5
Solve -175*w + 180*w + 2*n + 9 = 0, -4*w - 8 = 2*n for w.
-1
Solve 4*h + 8*c = 5*c - 13, 19 = -5*h - c for h.
-4
Solve 0 = -3*d - j - 2, -d - 8 = -2*j + 6*j for d.
0
Solve 0 = -r + 3*t - 8, -r + 6 - 8 = 3*t for r.
-5
Solve 10 = -5*a + 5*m, -a + 5*m = -0*m + 6 for a.
-1
Solve 14 = 3*p - 29*u + 34*u, 2*p - u + 8 = 0 for p.
-2
Solve -4*j + 2*q = 8 - 6, -2*q + 18 = 4*j for j.
2
Solve 5*m = 2*f - 29, 3*m - 229*f + 17 = -228*f for m.
-5
Solve -u + 4*m = -m + 15, 16 = 4*m for u.
5
Solve 4*p + 3*s + 2 = 0, 2*s + 0 = p - 5 for p.
1
Solve -2*x - x - 2*t = -3, -4*x - 5*t = -11 for x.
-1
Solve 3*a + 10 = j, a - 2*a = 3*j + 20 for j.
-5
Solve -v - 2 = v, -5 = 5*q + 5*v for q.
0
Solve -3*f + 23 = 3*r + 26, f = -2*r - 1 for r.
0
Solve 2*i = 5*o + 21, -2*i + 32 = -4*o + 14 for o.
-3
Solve -d - 6 - 6 = -4*z, z - 5*d = 22 for z.
2
Solve -2*f + 2*j - 18 = 0, 4*f - 5*j + 41 = -0*j for f.
-4
Solve 2 - 7 = -2*a + 5*c, -5*c - 10 = -3*a for a.
5
Solve 3*j = -12, 39*f - 20 = 35*f + 5*j for f.
0
Solve -5*h = -g - 14, -4*g - 7 = -5*h + 19 for g.
-4
Solve -5*p + 3*k - 8 = 7*k, 0 = -3*p + 4*k - 24 for p.
-4
Solve 5*j + w + 24 = 0, -20 = -j + 3*j + 3*w for j.
-4
Solve 2*s = -2*s + 12, 0 = -5*d + 5*s - 40 for d.
-5
Solve -2*d + 9 = -v, v = -2*d - 0*v + 3 for d.
3
Solve -17 = c - 4*p, -c - 2 = 3*p - 20 for c.
3
Solve 5*x + 10 = -m, -5*x - 13 = -2*m - 3 for m.
0
Solve -7 = 8*y - 4*y + 5*u, 4*y = u + 11 for y.
2
Solve 11 = f - 5*z + z, 2*z = 2*f + 2 for f.
-5
Solve 0 = k - 2*t - 6, 6*k - 8*k + 5*t + 13 = 0 for k.
4
Solve 2*o + 2*o + 10 = -2*c, 4*c + 5 = -3*o for c.
1
Solve 4*o + 6 = -6, 0 = -5*p + 2*o + 21 for p.
3
Solve 2*x + 2 = -5*k, -3*k - 8 = -x + 2 for x.
4
Solve 2*k + 4*f = -16 - 10, -5*k + f = 10 for k.
-3
Solve q = -5*d + 17, 7 = 24*d - 25*d + 5*q for d.
3
Solve 0 = 4*q - 12, 0*p + 7 = -4*p + 5*q for p.
2
Solve 2*a - 2 = -b, -2*a + 5*a - 17 = -5*b for b.
4
Solve 11*s - 12*s = 3*m + 9, 3*s = -2*m + 1 for s.
3
Solve d - 3*d - 5*s + 3 = 0, 5 = 5*s for d.
-1
Solve -2*k - 4*c + 40 = 2*k, -k + 2*c - 5 = 0 for k.
5
Solve -2*y + 10*h - 8*h = 0, -3*y + 2*h = 4 for y.
-4
Solve 3*z = 4*p - 5, -6*z - 4*p = -z - 13 for z.
1
Solve 3*y = 8*y - 15, -y + 7 = 4*u for u.
1
Solve -5*p = -3*t + 14, 2*p + 38*t - 39*t + 6 = 0 for p.
-4
Solve 3*d + 6 = 5*t - 3*t, 0 = 2*t - d - 2 for t.
0
Solve -5*f - 6 - 5 = -o, 4*o + 31 = -5*f for f.
-3
Solve 0*p - 10 = p - 5*b, -4*p + 26 = 2*b
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 0*y**3 - 54 + 18828*y**2 + 998*y**2 - y**3.
-y**3 + 18854*y**2 - 54
Collect the terms in 269 + 665 + 115 + 156 + 183 - 46*z.
-46*z + 1388
Collect the terms in 2 - 578*n - 262*n - 376*n.
-1216*n + 2
Collect the terms in 6*g + 4*g - 123*g**2 + 387*g**3 - 117*g**2 - 31*g**3 + 238*g**2.
356*g**3 - 2*g**2 + 10*g
Collect the terms in 436 + 7*q + 85 - 7*q + 16*q**2 - 523.
16*q**2 - 2
Collect the terms in 38 - 38 + 2965*s**2 + 5.
2965*s**2 + 5
Collect the terms in -3952*v**2 - 792*v**2 + 788*v**2 - 5.
-3956*v**2 - 5
Collect the terms in 590*i**2 + 567*i**2 - 576*i**2 - 581*i**2 - 10*i**3.
-10*i**3
Collect the terms in -1545*v**2 - 152*v - 35*v**2 + 335*v - 181*v.
-1580*v**2 + 2*v
Collect the terms in 489*f + 495*f + 459*f + 500*f - 1951*f.
-8*f
Collect the terms in -11*t**2 - 2979*t - 29*t**2 + 1490*t + 1489*t.
-40*t**2
Collect the terms in 10282*u - 5707*u - 6197*u.
-1622*u
Collect the terms in -1340*v**2 - 12*v**2 - 1084*v**2 + 268.
-2436*v**2 + 268
Collect the terms in 1065 + 1090 - 51*h - 3223 + 1067.
-51*h - 1
Collect the terms in -11463*d - 10569*d + 22029*d.
-3*d
Collect the terms in 33630 - 33630 + 456*v.
456*v
Collect the terms in 7818*g**2 - 12721*g**2 + g**3 - 4 + 4 + 4903*g**2.
g**3
Collect the terms in 505 - 6*l - 184 + 6*l - 321 + 9*l**2.
9*l**2
Collect the terms in -6486*j + 2214*j - 4*j**3 + 2211*j + 2061*j.
-4*j**3
Collect the terms in 1923*z + 6 + 1859*z + 1921*z - 5702*z.
z + 6
Collect the terms in 300583561609 - 47*o**2 - 300583561609.
-47*o**2
Collect the terms in -1098*p + 533*p - 196*p - 813*p.
-1574*p
Collect the terms in 94 + 13*v**3 + 99 + 80 + 91 - 452 + 88.
13*v**3
Collect the terms in -15026147*g**2 + 30052340*g**2 - 15026200*g**2.
-7*g**2
Collect the terms in 46*n - 10 - 3 + 53*n + 48*n + 52*n - 192*n.
7*n - 13
Collect the terms in 367*a + 297*a - 1097950 + 1097950 - 964*a + 3*a**2 + 300*a.
3*a**2
Collect the terms in 3019202994*n**2 + 5*n**3 - 3019202940*n**2 - 4*n**3.
n**3 + 54*n**2
Collect the terms in -l**2 + 4*l + 3*l**2 + 14*l - 18*l + 2021*l**3 + 2087*l**3.
4108*l**3 + 2*l**2
Collect the terms in 7179 - 7179 - 505085*l.
-505085*l
Collect the terms in -24455460*v**2 + 12227728*v**2 + 12227802*v**2.
70*v**2
Collect the terms in -31 - 5412*j**2 - 2496*j**3 + 2495*j**3 + 31.
-j**3 - 5412*j**2
Collect the terms in 4*q + 75*q**2 + 138*q**2 + 31*q**2 - 79*q**2.
165*q**2 + 4*q
Collect the terms in -43780 + 6*g - 13*g - 4*g + 0*g + 43780 - 11*g.
-22*g
Collect the terms in 20*n**2 - 3 - 70*n**2 - 3 + 5*n**3 - 15*n**3.
-10*n**3 - 50*n**2 - 6
Collect the terms in -261*s**2 - 265*s**2 - 263*s**2 - 253*s**2 - 251*s**2 - 264*s**2 + 1553*s**2.
-4*s**2
Collect the terms in 76 - 77 - 79 + 80 + 18611*q.
18611*q
Collect the terms in -1591*b**2 + 6 + 5896*b**2 + 6537*b**2.
10842*b**2 + 6
Collect the terms in -2635*k**3 - 2637*k**3 - 2633*k**3 + 13171*k**3 - 2635*k**3 - 2642*k**3.
-11*k**3
Collect the terms in 115*d**2 - 1294 + 437 + 419 + 835*d**2 + 438.
950*d**2
Collect the terms in -11*p - 24369*p**2 + 13*p + 24180*p**2.
-189*p**2 + 2*p
Collect the terms in -256562827 + 256562827 - 33*r**3.
-33*r**3
Collect the terms in 103*b - 1 - 103*b - 8437*b**3.
-8437*b**3 - 1
Collect the terms in 25 - 75 + 24 - 50*m**2 + 32*m**2 + 32.
-18*m**2 + 6
Collect the terms in 39*t**3 - 23*t**3 - 1 - 57*t**3 - 46*t**3 + 1.
-87*t**3
Collect the terms in -4*j + 326136983 - 326136983.
-4*j
Collect the terms in t - 57627*t**3 - 57631*t**3 + 115248*t**3 + 0*t.
-10*t**3 + t
Collect the terms in 84*o**2 - 143467 - 11*o**2 + 47821 + 47825 + 47819.
73*o**2 - 2
Collect the terms in 444*d - 21*d**2 + 5*d**2 + 19*d - 18*d**2 - 13 + 32*d**2.
-2*d**2 + 463*d - 13
Collect the terms in -626*y + 2 + 556*y - 2262*y - 1739*y.
-4071*y + 2
Collect the terms in -5764*d - 5758*d - 5769*d + 23191*d - 5814*d.
86*d
Collect the terms in -60 - 147 + 38*v - 56 + 318 - 55.
38*v
Collect the terms in 68843423 - 68843423 - 55*y**3.
-55*y**3
Collect the terms in 934 - 737 - 197 - 267*f**3.
-267*f**3
Collect the terms in 5893*z**2 + 20621*z**2 + 37143*z**2 + 32535*z**2.
96192*z**2
Collect the terms in 200517 - 147444*n - 200517.
-147444*n
Collect the terms in -82100*z - 1324*z - 284950*z - 325055*z - 1.
-693429*z - 1
Collect the terms in -73*l - 435*l + 241*l - 1199*l.
-1466*l
Collect the terms in -17645353*a - 3 - 16*a**2 + 4 + 17645353*a.
-16*a**2 + 1
Collect the terms in -45629*z + 54127*z + 50538*z.
59036*z
Collect the terms in 17 + 19 - 51 + 18 - 90*v**2 - 1 - 154*v**2.
-244*v**2 + 2
Collect the terms in -10*p**2 - 4*p - 16337204 + 4*p + 16337204.
-10*p**2
Collect the terms in -5 + 3 - 42*s - 1718*s - 19*s.
-1779*s - 2
Collect the terms in -97*n - 2 + 37*n + 6*n + 41*n + 2 + 54*n.
41*n
Collect the terms in -413666*o + 0 + 0 - 700554*o.
-1114220*o
Collect the terms in -27*f + 27*f + 2411064413*f**3 - 2411064414*f**3.
-f**3
Collect the terms in 851*n - 2109*n + 1303*n.
45*n
Collect the terms in 6963*b**2 + 6983*b**2 + 3 - 13935*b**2 - 4 + 2 - 1.
11*b**2
Collect the terms in 267135*m + 1 + 429*m**2 - 267135*m.
429*m**2 + 1
Collect the terms in -136*g**3 + 6772330*g - 6772330*g.
-136*g**3
Collect the terms in 36685*f + 100729*f + 475923*f.
613337*f
Collect the terms in -11*j + 31304784 - 62609566 - 79*j + 31304782 - j.
-91*j
Collect the terms in -117305*x - 195 + 62 + 75 + 58 + 117298*x.
-7*x
Collect the terms in -13738*y + 271 - 89 - 93 - 89.
-13738*y
Collect the terms in 127783*d - 43439*d + 320147*d.
404491*d
Collect the terms in -92921*c**2 - 92935*c**2 - 103 - 92920*c**2 + 278752*c**2 + 103.
-24*c**2
Collect the terms in -3*b - 685*b**2 - 1323*b**2 - 202*b**2 + 2*b + 428*b**2.
-1782*b**2 - b
Collect the terms in 43 - 730*g + 19 - 62 - 787*g.
-1517*g
Collect the terms in 5331*h - 176065 + 176065.
5331*h
Collect the terms in 17*y + 18*y - 35*y + 4*y**3 - 6836.
4*y**3 - 6836
Collect the terms in -5*p + 7*p - p**2 + 11*p**3 + 13 + 21*p**3.
32*p**3 - p**2 + 2*p + 13
Collect the terms in -17106*y**3 + 153*y - 289*y + 136*y.
-17106*y**3
Collect the terms in -17 - 2528*g + 5057*g - 2529*g + 17 - 9*g**3.
-9*g**3
Collect the terms in j**3 - 2*j**3 + 76282 - 76283.
-j**3 - 1
Collect the terms in 340 - 9*c**2 - 98 - 82 - 72 + 6*c**2 - 88.
-3*c**2
Collect the terms in -t**3 - 3*t**3 - 42*t**2 - 5 + 0 - 212*t + 3.
-4*t**3 - 42*t**2 - 212*t - 2
Collect the terms in 636086*i - 318356*i - 317724*i.
6*i
Collect the terms in -193 + 3*y - y + 429 - 214.
2*y + 22
Collect the terms in 190*o - 1273*o + 305*o - 1067*o.
-1845*o
Collect the terms in 27333348691 + 295*w - 27333348691.
295*w
Collect the terms in 225843*i + 477194*i + 154877*i + 96759*i.
954673*i
Collect the terms in 0*h + 5240926 + 0*h + 877043 - 2*h.
-2*h + 6117969
Collect the terms in 4*o - 2*o + 3*o - 370*o**2 - 123*o**2 + 487*o**2 + 0*o.
-6*o**2 + 5*o
Collect the terms in 109 + 30*y - 27*y + 5 - 169 + 4 + 6 + 19.
3*y - 26
Collect the terms in 56 - 1823*i**3 - 117 + 54.
-1823*i**3 - 7
Collect the terms in -22344 + 22344 + 1426*j**3 + 2318*j**3.
3744*j**3
Collect the terms in -1861*g + 223 - 223 - 740*g - 1589*g.
-4190*g
Collect the terms in -9 + 5 + 24 - 32 + 117*x.
117*x - 12
Collect the terms in 359 - 178 - 181 + 678056*o.
678056*o
Collect the terms in -25 + 4576*c - 23936*c**2 + 25 - 4576*c.
-23936*c**2
Collect the terms in -3184 + 0*k**3 + 194*k - k - 193*k + 2*k**3.
2*k**3 - 3184
Collect the terms in 17712432*m**2 - 7852203*m**2 + 26466981*m**2.
36327210*m**2
Collect the terms in -38*n + 7*n**3 - 20718*n**2 + 20718*n**2.
7*n**3 - 38*n
Collect the terms in -116*l**2 - 3*l**3 - 3 - 1 + 7 - 170*l**2 - 1.
-3*l**3 - 286*l**2 + 2
Collect the terms in 82*a - 24*a - 31*a + 29647*a**3 - 27*a.
29647*a**3
Collect the terms in 69186*v**2 + 69176*v**2 - 207907*v**2 + 69566*v**2.
21*v**2
Collect the terms in -3*c**2 + 2*c**3 + 47528 + 26784 - 8000 + c**2 + 7*c**2.
2*c**3 + 5*c**2 + 66312
Collect the terms in -11254336*a**2 + a - 10704725*a**2 + 3472173*a**2.
-18486888*a**2 + a
Collect the terms in -176050 + 88027 + 88023 + 16*u**2 + 178*u**3.
178*u**3 + 16*u**2
Collect the terms in 517*x - 1469*x - 158*x - 1017*x - 3 + 3.
-2127*x
Collect the terms in 4*c + 393418235201 - 393418235201.
4*c
Collect the terms in 5337*u**3 + 3531*u**3 + 13079*u**3.
21947*u**3
Collect the terms in 17 - 17*n + n + 9*n + 9*n + 6*n - 9*n.
-n + 17
Collect the ter
|
{
"pile_set_name": "DM Mathematics"
}
|
= 3*f - 156 - b. What is the hundreds digit of f?
1
Suppose 21*q - 39*q + 4194 = 0. Let o = q + 108. What is the hundreds digit of o?
3
Let k = -195 - -169. Let m = k + 643. What is the tens digit of m?
1
Let c(s) = 2*s**3 + s - 1. Let z be c(1). Suppose 5*j + 181 + 231 = 3*y, 0 = z*y + 4*j - 238. What is the hundreds digit of y?
1
What is the units digit of 3/(-12) + 104744/32?
3
Suppose 0 = q - 10*i + 9*i - 2, -5*i + 11 = 2*q. Suppose 0 = -3*j - 2*j + 4*v + 183, -5*j + 186 = -q*v. Let c = 81 + j. What is the tens digit of c?
2
Let j(r) = 174*r - 174. What is the units digit of j(39)?
2
Let h = -1831 - -3157. Let j = -787 + h. What is the tens digit of j?
3
Suppose -11631 = -3*s - 4*c, -15508 = 19*s - 23*s + 5*c. What is the hundreds digit of s?
8
Suppose 86*z + 5*k = 91*z - 99030, -2*k = -12. What is the thousands digit of z?
9
Let n = -1725 + 1725. Let m be 3/(-2)*14/21. What is the units digit of (m - n) + 704/(0 + 4)?
5
Let i = -19131 + 37940. What is the ten thousands digit of i?
1
Let l(u) = -243*u**3 - 2*u**2 - 4*u - 15. Let f be l(-3). What is the hundreds digit of f/32 - 3/8?
2
Suppose 2*j = -12*j + 28. Suppose -5*n = z - 7865, 2*z + 40 = 2*n - 3094. Suppose -10*p = j*p - n. What is the tens digit of p?
3
Let z = -318 - -326. What is the tens digit of (-615)/(-10) - 12/z?
6
Let l(w) = -w**2 + 10*w + 5. Let f be l(11). Let a be (-2231)/f - 2/(-12). Suppose -4*r - 4*x = -a, -5*r - 231 = -x - 666. What is the units digit of r?
8
Suppose 1554685 + 1112587 = 182*v + 573180. What is the units digit of v?
6
Suppose -458 - 652 = -15*t. Suppose -44 = -m + t. What is the hundreds digit of m?
1
Let g = 135 + -106. Suppose -5*m = 5*x - 195, 3*m = 2*m + 4*x + g. What is the units digit of m?
7
Let b(v) = 3*v**2 - 5*v - 11. Let k be b(-2). Suppose -7*g - k*g = -5796. What is the units digit of g?
2
Let t(i) = 29*i - 26. Let m be t(1). Suppose k + v + 0*v = 9, -3*k + 3 = -3*v. Suppose k*j - y = -2*y + 1187, m*y + 9 = 0. What is the tens digit of j?
3
What is the units digit of (-2)/8 + 491090/40?
7
Let c be (-156)/10 + 1 + (-10)/25. Let y be (-1 - 1)*c*(-1)/(-6). Suppose 2 = -4*f + 2*w, 4*w - w = 5*f + y. What is the units digit of f?
2
Suppose 17*w = 52 - 18. What is the units digit of (1*(-417)/w)/(3/(-6))?
7
Let o = -3336 + 6636. What is the units digit of o?
0
Let w(l) = 71*l + 17. Let a(z) = -z**3 - 10*z**2 + 10*z - 3. Let n be a(-11). Let u be w(n). Suppose 11*q = 2*q + u. What is the units digit of q?
5
Let f(h) = 3*h - 11*h + 2*h + 5*h. Let p be f(0). Suppose -6*z + 24 + 210 = p. What is the units digit of z?
9
Let k(n) = 1864*n**2 + 41*n**3 - 1863*n**2 + 9 - 2*n - 8*n**3. What is the tens digit of k(3)?
0
Suppose -17*z + 54 = -14. Suppose 12 = 12*y - 8*y, 3*f - z*y = 1200. What is the units digit of f?
4
Let r(p) = 148*p**2 - 5*p - 3. Let d be r(-1). Let n = d + -148. Suppose 0 = 4*h + 2*k - 4*k - 928, -4*h - n*k = -912. What is the tens digit of h?
3
Let c = -31 + 34. Suppose -4*r + 2*r - 324 = -3*d, 0 = c*d - 5*r - 315. Suppose 5*w - 30 = -4*k + 155, -3*k + 2*w = -d. What is the tens digit of k?
4
Suppose -893 + 4349 = -8*n. Let g = n + 613. What is the hundreds digit of g?
1
Let p(i) be the third derivative of i**3/6 - 20*i**2. Let x(n) = -n + 32. Let t(w) = -5*p(w) + x(w). What is the tens digit of t(11)?
1
Let a(d) = 47*d + 115 + 58*d - 91*d + 23*d. What is the tens digit of a(18)?
8
Let h = 486 - 1649. Let g = h - -1799. What is the tens digit of g?
3
Let l(s) = 3*s**3 - 5*s**2 - s - 8. Let j be l(4). Suppose -5*o = j + 30. Let u = 66 - o. What is the units digit of u?
2
Let o(h) = -h**2 + 16*h + 6. Let k be o(12). Let w be (-4)/18 - 616/(-18). Suppose -4*i + k + w = 0. What is the units digit of i?
2
Let q(f) = 19*f + 5. Let d be q(0). Let v(u) = 207*u - 116. What is the tens digit of v(d)?
1
Let m = 3193 - -6803. What is the hundreds digit of m?
9
Let n(v) = -v**3 + 7*v**2 + 7*v + 5. Let i = -24 + 31. Suppose 0 = 2*x - i*x + 30. What is the units digit of n(x)?
3
Let v(n) = -5*n + 1078*n**2 - n + 4*n - 2 + 3*n - 5*n. What is the hundreds digit of v(-1)?
0
Let i = -44050 + 66613. What is the hundreds digit of i?
5
What is the ten thousands digit of (-2 - 33/(-22))*(-116025 + 7)?
5
Suppose a = -4*h + 31544, 4*a - 23645 = 18*h - 21*h. What is the units digit of h?
7
Let s be 4/2*(-326)/(-4). Let x = s + 206. What is the units digit of x?
9
Let i(c) = -2*c. Let f be i(6). Let d(h) = 4*h + 9*h - 27*h + h + 10 + 4*h. What is the tens digit of d(f)?
1
Let m(s) = 6*s - 140. Let h be m(24). Let v(t) = 15*t + 85. What is the units digit of v(h)?
5
Let q(s) = s**2 - 13*s + 3. Let d be q(9). What is the units digit of ((-8)/(-20) + (-138)/45)*d?
8
Suppose 7*z - 74 = -53. Suppose -2*d - 5246 = -4*c, 3*c - z*d - 374 = 3553. What is the units digit of c?
4
Suppose 168 = 5*d - d. Suppose 2*g = 4*u + 36, -5*u + 4*g + 0*g = d. Let q = 21 + u. What is the units digit of q?
1
Suppose 12046 = 5*a + 41*h - 43*h, 5*h = -4*a + 9617. What is the tens digit of a?
0
Let u(z) = 27*z**2 - 5*z - 8. Let x = 516 - 521. What is the tens digit of u(x)?
9
Let j(y) = 248*y - 6. Let q be j(5). Let a = q + -836. What is the tens digit of a?
9
What is the tens digit of (-41928)/(-4) + (-120)/(-12)?
9
Suppose 4848 = 3*t - 19*t. Let d = t - -656. What is the units digit of d?
3
Let w be 2/(-3) - (68/(-6))/2. Suppose 2*q + 5 = -3*q, -w*q + 44 = x. What is the tens digit of x?
4
Suppose 143*k - 289332 - 13399 = 0. What is the hundreds digit of k?
1
Let a be 3*(-8)/6 - (-17 - -9). What is the hundreds digit of 378/(-91) + a + (-8714)/(-26)?
3
Let x be (-27 + 22)/(10/(-4)). Suppose -c + 2*c = 5*s - 954, -x*s - 3*c = -368. What is the hundreds digit of s?
1
Let d(h) = 149*h**2 + 1617*h + 15. What is the hundreds digit of d(-24)?
0
Let n(u) = 19*u - 11*u + 1 + 76*u. Let x be n(10). Let t = x - 594. What is the tens digit of t?
4
What is the ten thousands digit of 1 + (527/(-62))/((-1)/2570)?
2
Let w(f) = f**3 + 27*f**2 + f + 35. Let m be w(-27). Suppose -3*q = -m*q + 5330. What is the thousands digit of q?
1
Suppose 2*z - 1020 - 54884 = d, -2*z - 3*d = -55904. What is the thousands digit of z?
7
What is the tens digit of (-9 - -8) + (-18)/(-1)*14306/6?
1
Suppose 0 = -p - 5*i - 16, -2*i = -22*p + 20*p + 16. Suppose -2*n = -3*u + 2*u - 1702, 0 = -p*u - 16. What is the tens digit of n?
4
What is the hundreds digit of ((-17)/(-51) + 275/12)*264?
1
Let p(k) = 140*k**2 - 5*k - 155. What is the units digit of p(11)?
0
Suppose 0 = 14*j - 10*j + 144. Let s be (-9)/j + 174/8. Suppose a - 3*q - s = -q, -3*a - 3*q + 102 = 0. What is the units digit of a?
0
Suppose 206*o - 199*o - 15519 = 0. Suppose 9913 - o = 8*m. What is the tens digit of m?
6
Suppose 21*j - 440697 = -75284 + 139049. What is the thousands digit of j?
4
Let u(k) = -5*k**3 - 3*k**2 + 7*k + 8. Let r be u(-4). Suppose 5*o = 7*o - r. Suppose 0 = -5*n + m + o, 5*n - 162 = -4*m - 41. What is the tens digit of n?
2
Let k(h) = 25881*h + 1285. What is the thousands digit of k(1)?
7
Let m(p) = -p - 1. Let y(i) = 5*i. Let l(h) = -4*m(h) - y(h). Let z be l(-2). What is the units digit of (16/z)/4 + 656/6?
0
Suppose 5*v - 46694 = -2*i, -3*v + 28008 = 2*i - 5*i. What is the tens digit of v?
3
Let j = -10540 + 21300. What is the units digit of j?
0
Let f(w) = 4*w - 15. Let i be f(22). Let u be 10*9 - (-44)/22. Let j = u - i. What is the tens digit of j?
1
Let l be 4 + (-5 - -10) + -6. Suppose -x + 0*y + y = -562, -l*y = 4*x - 2234. Suppose -7*g - 9*g = -x. What is the units digit of g?
5
Let j = 8301 + -3108. What is the tens digit of j?
9
Suppose -c - 3*c + 2*l + 18 = 0, 0 = 5*c - 5*l - 30. Suppose -c*b = -6*b + 15. Let z(d) = d**3 - 5*d**2 + 8*d - 5. What is the units digit of z(b)?
5
What is the tens digit of (-36674)/(-3)*(-1740)/(-3190)?
6
Let x(g) = g**2 - 12*g - 7. Let s be x(3). What is the units digit of (-3)/(6/s)*23?
1
Let p = 1048 - 1029. Suppose 2*j = 3*j - 26. Let s = p + j. What is the tens digit of s?
4
Let f be (-120)/(-25) + (-1)/(-5) - 2. Suppose -452 = f*j - 3785. What is the thousands digit of j?
1
What is the tens digit of (-26960)/(-14) - (1*7 - 6630/910)?
2
Let o(m) = 13*m**3 - 2*m**2 + 2*m. Suppose -t - 21 = -3*q + 4*t, 0 = 2*t + 6. Let r be o(q). Suppose -6*z - r = -1396. What is the units digit of z?
6
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
at are the prime factors of d?
2, 277
Let p be 3 - -316 - (0 + 8 - 4). Suppose -p = -2*b + 131. What are the prime factors of b?
223
Suppose -4*c + 0*c = -3*h + 1099, 3*h - 3*c - 1104 = 0. What are the prime factors of h?
373
Suppose -7 - 7 = 2*c. Let o = c - -2. Let v(k) = -k**2 - 7*k - 3. What are the prime factors of v(o)?
7
Let v = -6 - -7. Suppose 33 = 5*p - 2*f, 5*p + 5*f - 6 = -v. Suppose 4*b = -3*h + 143, -p*h = b + 2*b - 220. List the prime factors of h.
41
Let k(x) = -5*x - 10. Let p be k(-6). Suppose -1480 = 10*v - p*v. List the prime factors of v.
2, 37
Let k(l) = -32*l - 2. Suppose 3*w + 5 = -5*j, -2*j + 0*j - 4*w - 2 = 0. What are the prime factors of k(j)?
2, 3, 5
Let t = -108 - -108. Suppose -3*p + 5*x + 996 = t, 7*p = 4*p + x + 984. What are the prime factors of p?
3, 109
Suppose 456 = -x + 4*x + 3*p, -3*p - 776 = -5*x. Suppose 2*f = 9*f - x. List the prime factors of f.
2, 11
Let u = -50 + 84. Suppose u = n + v - 11, -v + 92 = 2*n. List the prime factors of n.
47
Suppose -2*o - 2*p + 223 = -3*p, -253 = -2*o - 5*p. Suppose 0 = -2*k + 4*m + 132, -6*k - 2*m + o = -4*k. What are the prime factors of k?
2, 3, 5
Suppose -2*a - 13 = -a. Let k = -12 - a. Suppose -2*f + 3 = -k. List the prime factors of f.
2
Let i(n) = -n**3 + 6*n**2 + 8*n - 2. Let g be i(7). Suppose 2*c + 2 - 1 = -p, 0 = g*p - 4*c - 37. Suppose 64 = p*v - v. List the prime factors of v.
2
Suppose -55*r = -20*r - 22575. List the prime factors of r.
3, 5, 43
Let m = 3 - 1. Suppose -2*l + 10 = 0, 27 = -m*p + 3*p + 5*l. Suppose f + 3*v - 24 = -2*f, -v - 13 = -p*f. List the prime factors of f.
7
Let n(h) be the third derivative of 0 + 0*h - 1/120*h**6 + 0*h**3 + 6*h**2 - 1/5*h**5 - 1/8*h**4. What are the prime factors of n(-12)?
2, 3
Let m(l) = 39*l**2 - 10*l - 45. List the prime factors of m(-6).
3, 11, 43
Let p(d) = 14*d**2 - 3*d + 181. List the prime factors of p(13).
2, 3, 11, 19
Let u(w) = -w**2 - 4*w + 4. Let q be u(-4). Suppose -3 = h - 0, -q*d - 2*h = -114. List the prime factors of d.
2, 3, 5
Suppose 548*y + 1347 = 551*y. What are the prime factors of y?
449
Suppose -3*g + 4*l = 5*l - 5236, -3*g + 5244 = 3*l. What are the prime factors of g?
2, 109
Suppose -5*i = 4*u - 23, 3*u + 2*i = 14 + 12. Let l be (-9 + 1)*(-3)/u. Suppose -y = -a, -2*a = 2*y + l - 14. List the prime factors of y.
3
Suppose -29*w + 17250 = -23*w. List the prime factors of w.
5, 23
Let n = 772 + -242. Suppose n = 15*t - 10*t. What are the prime factors of t?
2, 53
Suppose 2*m - 3*m = -141. Let h = -70 + m. List the prime factors of h.
71
Let f = 21 - 11. Let t be (-6)/(3/24*2). Let c = f - t. List the prime factors of c.
2, 17
Suppose -3*y = y - 5*j - 6684, -y + 1674 = -2*j. List the prime factors of y.
2, 7, 17
Suppose -2*v + 4132 - 455 = 3*k, -2*k = 4*v - 7350. What are the prime factors of v?
11, 167
Suppose 0 = -4*p, 7*p - 4*p - 60 = -4*y. List the prime factors of (504/(-35))/((-3)/y).
2, 3
Suppose 0 = 10*p + 4893 - 14723. What are the prime factors of p?
983
Let f be 16/(-4)*(-21)/12. Let z(y) = 3*y**2 - 10*y + 8. Let b be z(f). Suppose 5*t - 15 = b. List the prime factors of t.
2, 5
Let s be ((-96)/40)/(2/5). What are the prime factors of (10/s - -2) + 406/6?
2, 17
Let k = 12 + -5. Suppose -k*c + 213 = -74. What are the prime factors of c?
41
Suppose -5*i - u - 2*u = -206, 2*i - 5*u = 70. What are the prime factors of i?
2, 5
Suppose j - 1197 = -349. List the prime factors of j.
2, 53
Let j(g) = g**2 + 7. Let u be j(0). Let p be (-21142)/(-77) + 3/u. Suppose -5*h - 102 + p = f, -5*f = -5*h + 185. List the prime factors of h.
5, 7
Let b = 11 + 10. Let r = b + -51. Let d = 34 + r. List the prime factors of d.
2
Let h(z) be the third derivative of -31*z**4/6 - z**3/2 + z**2. Let o be h(1). What are the prime factors of o/(-4) + 3/(-4)?
31
What are the prime factors of (9648/99)/8 + (-10)/55?
2, 3
Suppose 0 = -3*c + 7*c - 2704. Suppose 0 = -7*d + c - 193. List the prime factors of d.
3, 23
Suppose -3*j + 10 = -0*j - d, -5*d - 28 = -4*j. Suppose -206 = -j*n + 2*l, 2*l + 3*l - 309 = -3*n. What are the prime factors of n?
103
Suppose 67 + 53 = 5*v. Let k be (-12)/(-3)*246/v. Suppose y + k = 2*y. What are the prime factors of y?
41
Let d(h) = h**2 - 2*h - 3. Let n be d(-7). Let k be -9 - -7 - (1 - n). Suppose 4*v - 9*v = 2*m - 6, -5*m + k = 2*v. List the prime factors of m.
13
Let a = 4877 + -950. List the prime factors of a.
3, 7, 11, 17
Let s(x) = x**2 - x - 4. Let k be s(5). Suppose -22 = -26*q + 56. List the prime factors of -2 + 0 + q + k.
17
What are the prime factors of (-5)/((-75)/12)*(-18715)/(-38)?
2, 197
Let q be (-248)/(-20) - (-6)/(-15). Let t = q - -6. List the prime factors of 14/63 + 1058/t.
59
Let u be 6/((32/36)/4). Let t = 188 - u. Suppose 0 = 4*z + 13 - t. List the prime factors of z.
37
Suppose 2*h - 2 = h. Let w = -84 - -114. Suppose h*j - w = 4. List the prime factors of j.
17
Let b(j) = -5*j**2 - 3*j - 2. Let m(k) = k**2. Let i(a) = -b(a) - 3*m(a). Let l be i(-5). Let f = -25 + l. List the prime factors of f.
2, 3
Suppose 4*b + 229 = -3*o, 0 = 5*b + 3*o - 197 + 487. Let u be b/6 + 2/12. Let v = 26 - u. What are the prime factors of v?
2, 3
Let k(x) = -2*x + 2. Let f be k(-3). Suppose -f*o - 79 = -807. What are the prime factors of o?
7, 13
Let a(g) = -2*g + 15. Let s be a(4). Suppose s*y = -y + 824. List the prime factors of y.
103
Suppose 2*i = 3*i + 5*r - 3, 4*i + r - 12 = 0. Suppose i*m + 57 = 78. What are the prime factors of m?
7
Let d(h) = 5*h**2 - 3*h - 18. Let i be d(7). Let k = -109 + i. List the prime factors of k.
97
Let r(q) = -q**3 - 4*q**2 - 6*q - 4. Let z be r(-4). Let l be (-1 + -7)/(3/(-12)). Let k = l - z. List the prime factors of k.
2, 3
Suppose -2*w = -4*s - 2118, 20 = 5*s + 25. What are the prime factors of w?
7, 151
Suppose 0 = -0*z - z + 2. Suppose z*m - 16 = -2*l, 2*m + 5*l - 5 = 17. List the prime factors of (m/4)/(-3)*-86.
43
Suppose 22*j = 505 - 43. What are the prime factors of j?
3, 7
Suppose 8*t - 4*t = -52. Let n(o) = -2*o + 9. Let u be n(t). Let a = -4 + u. List the prime factors of a.
31
Let n(a) = -a**2 + a - 9. Let c be n(0). Let z be c*(-3)/36*-4. What are the prime factors of 8 + z*(-3)/(-9)?
7
Suppose -4*x + 3*x = 74. Let n = x + 107. What are the prime factors of n?
3, 11
Let k be (6*6/(-9))/((-4)/20). List the prime factors of (k - 22)*(-470)/4.
5, 47
Suppose -z - o + 5 = 0, -3*z + 3*o - 5*o = -12. Suppose -4*q + 28 + 39 = -l, z*q + 3*l = 37. List the prime factors of q.
17
Suppose 44 = 2*z - 5*x, 3*x - 7*x = 2*z - 8. Let h be z/42 - 276/(-14). Let b = -7 + h. What are the prime factors of b?
13
Suppose 0 = 4*k + 20 - 0. Let v(d) = -10*d - 4. Let h be v(k). What are the prime factors of (h/8)/(2/8)?
23
Suppose 1115 = -8*k + 6747. What are the prime factors of k?
2, 11
Suppose 6*b - 4*b = 2*f - 6760, 5*b - 15 = 0. Suppose -16*n + f = -1673. List the prime factors of n.
2, 79
Let o be (132/15)/(3/(-15)). Suppose l = -0*l + 4*q + 68, -3*q + 169 = 2*l. Let u = l + o. List the prime factors of u.
2, 3
Suppose -15 = 5*n, 0 = -0*d - 2*d - 5*n - 11. Suppose 2*p = 5*x, 2*x + 2*x = -d*p. List the prime factors of (81 + x)*(-5)/(-15).
3
Suppose 3*m + 1183 = -32*q + 33*q, 0 = q - m - 1193. List the prime factors of q.
2, 599
Let t(s) = 450*s**2 + 11*s + 5. List the prime factors of t(-3).
2, 2011
Suppose -s + 4*s - d - 25 = 0, 5 = 3*s + 4*d. Suppose 5*m = s*m - 16. What are the prime factors of m?
2
What are the prime factors of ((-6)/8)/(-3) + 3207/4?
2, 401
Suppose -2 = -3*d + 4*d. Suppose 3*v - 3*a = -69, 4*a = 4*v + 2*a + 100. Let y = d - v. What are the prime factors of y?
5
Suppose 5 = m + 3*u, -5*u + 15 = 5*m - 0*m. Suppose -o + m*k = -85, -6*k + 2*k = -o + 91. List the prime factors of o.
79
Let w = -9605 - -13484. List the prime factors of w.
3, 431
Let l = 890 - 259. What are the prime factors of l?
631
Let b be (-50)/15*348/(-5). Let m = 368 - b. List the prime factors of m.
2, 17
Let u be -3 - 2*2/(-4)*2. List the prime factors of (-7)/((-14)/212) - u.
107
Suppose 3*y + 794 = 2204. What are the prime factors of y?
2, 5, 47
Let s = -6308 - -10903. What are the prime factors of s?
5, 919
Suppose -n + 4 = n - 2*c, 0 = -4*n - 4*c. Let o be -3*(2 + -4 + n). Suppose o*f = -w + 76, -f - w = 2 - 28. List the prime factors of f.
5
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) + 351*u(a).
-39*a**3
Let u(l) be the second derivative of l**3/6 + l**2/2 - 28*l. Let s(z) = 7*z + 5. Determine s(d) - 3*u(d).
4*d + 2
Let j(d) = -3*d**3 + 11*d**2 - 7. Let v(p) = -p**3 + 6*p**2 - 4. Let a be (145/(-45) - (-8)/36) + -8. Give a*v(n) + 6*j(n).
-7*n**3 + 2
Let j(s) = -4*s**2 - 3*s. Let h(n) = 6 - 3 + 7*n**2 + n**3 - 12 - 9*n. Let b be h(-8). Let r be b - (1 + -4 + 6). Let x(y) = 5*y**2 + 4*y. Give r*j(a) - 3*x(a).
a**2
Let i(l) = 13*l - 4. Let s(p) = 3*p - 1. Let t(g) = 2*i(g) - 9*s(g). Let o(k) = k**2 - 6*k - 18. Let v be o(8). Let d(c) = -1. Give v*t(n) - 3*d(n).
2*n + 1
Let v(f) = 5*f + 2. Let b(a) be the third derivative of -1/4*a**4 + 0*a + 3*a**2 - 1/2*a**3 + 0. Let g be -1*(-2 + 0 + -1). Give g*b(z) + 4*v(z).
2*z - 1
Suppose -4*g + 47 = -5*a, -3*g - 4 = -5*g - 4*a. Let r(h) = h**3 - 14*h - 5. Let z(x) = -2*x**3 + 21*x + 8. Determine g*r(d) + 5*z(d).
-2*d**3 - 7*d
Let b(m) = -2*m - 703. Let n(f) = -6*f - 1409. What is -5*b(g) + 2*n(g)?
-2*g + 697
Let c(n) = n**2. Let d(g) = g**2. Let w = -2 - 10. Let a be (1 + 27/w)*-328. Let u be a/(-70) - 2/14. Determine u*c(m) + 3*d(m).
-3*m**2
Let b(f) = -1268*f + 2. Let l(z) = -2540*z + 4. Calculate -9*b(y) + 4*l(y).
1252*y - 2
Let l(b) = -b**3 + b**2 + 2. Let d(c) = 16*c**3 + c**2 + 8. Calculate d(w) - l(w).
17*w**3 + 6
Let q(a) = 8*a + 2. Let w(d) = d. Determine -q(j) + 4*w(j).
-4*j - 2
Let d(n) = n**3 - 5*n**2 - n - 3. Let z(q) = -q**3 + 6*q**2 + 2*q + 5. Calculate -3*d(b) - 2*z(b).
-b**3 + 3*b**2 - b - 1
Let k be (-60)/(-9)*15/10. Let i(j) = 2*j**2 + 2*j - 3. Let d(n) = -n. Let p(g) = -g**2 - 6*g + 2. Let l(u) = -5*d(u) + p(u). Determine k*l(z) + 6*i(z).
2*z**2 + 2*z + 2
Let p(j) = -3*j**3 + 18*j**2 + j + 5. Let l(b) = -4*b**3 + 20*b**2 + b + 6. Determine -5*l(c) + 6*p(c).
2*c**3 + 8*c**2 + c
Let p(c) = -c**3 - c**2 - c. Let y = 2 + 0. Let a(v) = 20*v**y + 8*v - 42*v**2 - 20*v**3 - 30*v. Give -2*a(b) + 44*p(b).
-4*b**3
Let v = -56 + 59. Let x(r) = -2*r - 5. Let m(z) = -10*z - 21. Let f(g) = 4*m(g) - 18*x(g). Let t(y) = -3*y + 5. Calculate v*t(j) - 2*f(j).
-j + 3
Let r be (269/1614)/((-2)/12). Let u be (2 - 1)*2 + 0. Let y(q) = -1 - 2 + q + u. Let b(f) = -2*f + 2. Give r*b(d) - 3*y(d).
-d + 1
Let y(b) = -14*b. Let f(x) = -x. What is 42*f(r) + 3*y(r)?
-84*r
Let m(c) = -c**3 - c**2 + c + 1. Let t(p) = p**3 - 4*p**2 + p - 5. Let d be t(4). Let i(j) = 3*j**3 - j - 2. Determine d*i(v) - 2*m(v).
-v**3 + 2*v**2 - v
Let n(s) = -2 + 8*s + 0 - 3 - 4*s. Let l(b) be the first derivative of b**2/2 - 2*b + 1609. Give 11*l(u) - 4*n(u).
-5*u - 2
Let r(p) = -45*p**3 - 5*p**2 + 11*p + 16. Let t(o) = -o**3 - o**2 + 1. Let d(v) = -r(v) + 5*t(v). Let i(z) = -8*z**3 + 2*z + 2. What is -2*d(g) - 11*i(g)?
8*g**3
Let g(z) = z. Let r(i) be the first derivative of -i**3 - 3*i**2 + 5. Let b = -37 + 31. What is b*g(q) - r(q)?
3*q**2
Let h(n) = n**2 - 1. Let w = 4 + -3. Let x(f) = f**2 - 6*f - 3. Let c(v) = w*x(v) - 4*h(v). Let s(g) = -4*g**2 - 7*g + 1. Give 5*c(y) - 4*s(y).
y**2 - 2*y + 1
Let z(m) = m**2 - 1. Suppose 10*w - 1 = 9. Let n(i) = -1. What is w*z(x) - n(x)?
x**2
Let x(a) = -8*a**2 - 2*a - 4. Let n(s) = -s**2 - 1. Let q = 32 + -38. Let d be (-85)/51 + (-4)/q. Calculate d*x(c) + 6*n(c).
2*c**2 + 2*c - 2
Let l(r) = -13 - 3*r - 5*r**2 + 8 - 3*r. Let h be (-2)/(-10) + 55/(-25). Let d(p) = p**2 + p + 1. Calculate h*l(k) - 11*d(k).
-k**2 + k - 1
Let s(w) = 18*w**2 - 9*w - 2*w - 6 - 17*w**2 + 6*w + 2*w**3. Let j(b) = -b**3 - b**2 + 6*b + 7. Give -5*j(l) - 6*s(l).
-7*l**3 - l**2 + 1
Let b(d) = -155*d - 1. Let p(j) = 158*j + 2. What is -3*b(o) - 2*p(o)?
149*o - 1
Let s(m) = -13*m**3 + 6*m - 7. Let k(n) = 10*n + 121. Let r be k(-11). Let u(b) = -7*b**3 + 3*b - 4. Give r*u(j) - 6*s(j).
j**3 - 3*j - 2
Let g(f) = -4*f**2. Let o = -5 - -10. Suppose 5 = 5*i - 2*h, o*h - 15 = 4*i - 2. Let v(k) = 2*k**2 - 2*k**2 + 0*k**2 - i*k**2. Determine 2*g(q) - 3*v(q).
q**2
Let d(z) be the first derivative of -8*z**3/3 - 11*z**2/2 + 11*z + 4. Let l(c) be the first derivative of c**3 + 2*c**2 - 4*c - 61. Calculate 4*d(p) + 11*l(p).
p**2
Let c(f) = -27*f - 14. Let p(q) = -9*q - 5. Let v(m) = -6*c(m) + 17*p(m). Suppose -7*j + 45 = -4. Let a(g) = -13*g + 1. Give j*v(l) + 5*a(l).
-2*l - 2
Let h be (-30)/(-9) - (-4)/6. Let m(c) = 2*c - 1. Let d(j) = 0*j + 2*j - 11*j + 10*j + 0*j - 1. Give h*d(l) - 3*m(l).
-2*l - 1
Let l(j) = 3*j**3 + 6*j - 4. Let t(r) = 8*r**3 + 17*r - 12. What is -17*l(s) + 6*t(s)?
-3*s**3 - 4
Let q be -9 + (11 - 6 - 1). Let m(d) be the second derivative of -d**4/6 - 11*d**3/6 + 4*d**2 - 2*d. Let x(c) = c**2 + 7*c - 5. Determine q*m(g) - 8*x(g).
2*g**2 - g
Let p(v) = -2. Let o = -6 + 9. Let u(z) = -o*z**2 + 3*z**2 + 5 - z**2. What is -5*p(q) - 2*u(q)?
2*q**2
Suppose 3*j - 7 = -1. Let n(u) = 5 - u**2 + 2*u**j - 4*u - 5*u**2 + 7*u**2. Let v(h) = -h**2 + 2*h - 2. Let t be (1/2)/(5/50). Calculate t*v(a) + 2*n(a).
a**2 + 2*a
Let o = -363 + 362. Suppose 0*n - 4*n - 24 = 0. Let h(s) = 2. Let x(m) = -1. Let l(c) = 2*h(c) + 5*x(c). Let i(t) = 2*t + 5. Determine n*l(a) + o*i(a).
-2*a + 1
Let o(b) = 3*b + 3. Let t(r) = -18*r + 8*r + 7 + 4*r + 11*r. Suppose -3*u = -4*c - 31, 3*c - 4*c + 2*u - 9 = 0. Calculate c*o(z) + 3*t(z).
-6*z
Let p(f) = -21*f**2 + 2*f - 41. Let c(s) = -33*s**2 + 3*s - 61. Calculate 5*c(z) - 8*p(z).
3*z**2 - z + 23
Let b(i) = -339*i**2. Let p(s) = 170*s**2. Give 3*b(t) + 5*p(t).
-167*t**2
Let u(v) = 4*v**3 + 3*v**2 - 35*v + 5. Let k(b) = 2*b**3 + 2*b**2 - 17*b + 3. Determine 5*k(x) - 3*u(x).
-2*x**3 + x**2 + 20*x
Suppose 0 = 22*p - 11*p - 44. Let t(j) = j. Let a(v) = -3*v - 1. Let y(u) = u**3 - 6*u**2 + 2*u - 1. Let k be y(6). What is k*t(r) + p*a(r)?
-r - 4
Let m(b) be the second derivative of 7*b**3/2 + 5*b**2/2 - 83*b. Let d(g) = 136*g + 32. Determine -5*d(f) + 32*m(f).
-8*f
Let r(d) = 6*d - 5. Let q(c) = 7*c - 5. Let u(s) = 4*q(s) - 5*r(s). Let n(t) = -5*t + 11. Let v = -676 - -680. Calculate v*n(f) - 9*u(f).
-2*f - 1
Let x(c) = -6*c - 6. Let r(z) = 2*z + 3. Determine -5*r(d) - 3*x(d).
8*d + 3
Let i(o) = -o**2 + 3*o + 1. Let q(u) = -u**3 - u**2 + u + 1. Suppose -9 = -7*g - 9. Suppose -7*n + 10*n + 3 = g. What is n*i(v) + q(v)?
-v**3 - 2*v
Let l(n) be the second derivative of -n**5/5 - n**4/3 + n**3/2 - 217*n. Let x(i) = 5*i**3 + 4*i**2 - 4*i. What is 4*l(d) + 3*x(d)?
-d**3 - 4*d**2
Let d(r) = -r**2. Let u(v) = 12*v**2 - 287*v - 22. Let f be u(24). Let o(m) = 10*m**2 - 1. Calculate f*d(y) - o(y).
-12*y**2 + 1
Let j(r) = 29*r**3 - 3*r**2 + 3*r + 3. Let b(u) = -29*u**3 + 4*u**2 - 4*u - 3. Calculate -3*b(s) - 4*j(s).
-29*s**3 - 3
Let m be (15/(-9))/(3/(-63)). Suppose -17*r + m = -22*r. Let u(c) = 3*c**3 + 4*c**2 + 11*c - 7. Let i(g) = 2*g**3 + 2*g**2 + 6*g - 4. Give r*i(l) + 4*u(l).
-2*l**3 + 2*l**2 + 2*l
Let p(j) = -5*j**2 + 5*j + 1. Let m(i) be the second derivative of -i**4/6 + i**3/2 + i**2/2 - i - 1. Calculate -5*m(t) + 3*p(t).
-5*t**2 - 2
Let c(g) be the third derivative of -2*g**5/15 + g**4/4 - 13*g**2. Let q(n) = -9*n**2 + 7*n. What is 7*c(j) - 6*q(j)?
-2*j**2
Let r(q) = -2*q - 5. Let d(j) = -j - 6. What is 6*d(k) - 7*r(k)?
8*k - 1
Let p(c) = 13*c**2 - 11*c + 11. Let n(a) be the first derivative of -7*a**3/3 + 3*a**2 - 6*a - 893. Calculate -11*n(s) - 6*p(s).
-s**2
Let a(y) = 7*y**2 - 20*y - 5. Let l(w) = 22*w**2 - 66*w - 16. Let d(v) = -10*a(v) + 3*l(v). Let j(t) = -5*t**2 + 2*t + 3. Calculate -3*d(k) + 2*j(k).
2*k**2 - 2*k
Let k(m) = -9*m**3 + m**2 - 3. Let z(i) be the second derivative of 3*i**5/20 + i**2/2 + 291*i. Give -2*k(c) - 7*z(c).
-3*c**3 - 2*c**2 - 1
Let j(k) be the second derivative of -3*k**5/20 - k**3/6 - 4*k**2 + 27*k - 1. Let f(v) = -6*v**3 - 2*v - 15. What is 6*f(i) - 11*j(i)?
-3*i**3 - i - 2
Let y(p) = p**2 - p - 4. Let u(n) = n**2 - n - 5. Suppose 35*j + 5 = 36*j. Determine j*y(s) - 4*u(s).
s**2 - s
Let p(n) = -4*n**2 + 6*n + 7. Let q(s) = 9*s**2 - 13*s - 15. Give -13*p(b) - 6*q(b).
-2*b**2 - 1
Let v(f) = -20*f**2 - 24*f - 8. Let i(n) = -10*n**2 - 11*n - 4. Calculate -9*i(d) + 4*v(d).
10*d**2 + 3*d + 4
Let o(l) = -l**3 + l - 2. Let p be -5 + (3 - (2 - 3)). Let v(d) = d + 1. Let t(i) = i**3 + 2*i + 2. Let m(c) = p*t(c) + 2*v(c). Determine 2*m(n) - o(n).
-n**3 - n + 2
Let j(g) = 7*g + 1. Let d(w) = -15*w - 2. Calculate -6*d(t) - 13*j(t).
-t - 1
Suppose 0 = -30*c + 35*c - 65.
|
{
"pile_set_name": "DM Mathematics"
}
|
List the prime factors of h.
2, 37
Suppose 4 = -2*m - 2, 3*m = -2*c + 37. List the prime factors of (-8)/28 - c/(-7).
3
Let x = 1 - 4. Let q(p) = 15*p + 1. Let y be q(-1). Let l = x - y. List the prime factors of l.
11
Let d(c) = -c**3 - 7*c**2 + 6*c - 6. Let v be d(-8). What are the prime factors of ((-13)/2)/((-5)/v)?
13
Suppose -2*p + 74 - 28 = 0. Suppose -4*n = v + 49, 4*v - 38 = 3*n - n. Let h = n + p. List the prime factors of h.
2, 5
Let y(x) = -x**2 + 19*x + 19. What are the prime factors of y(19)?
19
Let f = 38 - 26. Let z = -8 - -10. Suppose z*b - f = 6. List the prime factors of b.
3
Let m = -311 + 441. List the prime factors of m.
2, 5, 13
Let u be (0 + 1)/((-5)/(-15)). Suppose -5*c - 32 = -4*z, 2*z - 5*c - 16 = -2*c. Suppose -u*j + 19 = -z. What are the prime factors of j?
3
Let v = 54 + 154. List the prime factors of v.
2, 13
Suppose -6 = 2*g - 4*g. Let l = g - 1. What are the prime factors of l?
2
Let d(n) = 212*n - 2. List the prime factors of d(1).
2, 3, 5, 7
Let i = 184 + 7. List the prime factors of i.
191
Let l(x) = x**3 - 6*x**2 - 3*x + 7. Let m be (-21)/2*(-22)/33. What are the prime factors of l(m)?
5, 7
Let c(f) = f - 11. Let o be c(6). Let h(t) = -t**2 - 4*t + 5. Let i be h(o). Suppose i = -2*r + 4 - 0. List the prime factors of r.
2
Suppose -8 = -2*d - x + 25, -4*d + 60 = 4*x. What are the prime factors of d?
2, 3
What are the prime factors of -4*(-678)/8 + 2?
11, 31
Let m(z) = -3*z**2 + 4*z**2 + 3*z + 2*z - 10 + 0*z. Let y be m(-10). Suppose -2*n + y + 0 = 0. List the prime factors of n.
2, 5
Suppose 0 = 3*y - 8*y. Suppose 5*k - 25 = -y*k. What are the prime factors of (1 + -2)/((-1)/k)?
5
Suppose 0 = 5*n + 2*k - 490, 2*k = 4*n - k - 415. List the prime factors of n.
2, 5
Let d = 565 - 379. What are the prime factors of d?
2, 3, 31
Let v = 11 - 16. List the prime factors of v*4/((-40)/26).
13
Let i(t) = -11*t + 7. Let j be i(-5). Let f = j - 42. Suppose -4*o + f = -2*o. What are the prime factors of o?
2, 5
What are the prime factors of (-6)/(2/2)*84/(-18)?
2, 7
Suppose -4*j + 388 - 56 = 0. Suppose 0 = 3*k + 20 - j. List the prime factors of k.
3, 7
Let f(v) be the second derivative of 23*v**4/12 - v**3/6 + v**2/2 - 7*v. List the prime factors of f(1).
23
Suppose -d - 2*f + 144 = 0, -d + 103 = -4*f - 53. What are the prime factors of d?
2, 37
Let u = -2 - -4. Let l(r) be the third derivative of r**4/6 - r**3/6 - 2*r**2. What are the prime factors of l(u)?
7
Let v(h) = -12*h - 3. What are the prime factors of v(-3)?
3, 11
What are the prime factors of ((-28)/8 + 3)*-6?
3
Let k = 31 - 0. List the prime factors of k.
31
Suppose 114 + 4 = 4*z + 2*r, z + 3*r = 42. List the prime factors of z.
3
Let n(w) = 10*w**3 + 34*w**2 + 30*w + 43. Let a(z) = 7*z**3 + 23*z**2 + 20*z + 29. Let d(l) = 7*a(l) - 5*n(l). List the prime factors of d(-8).
2
List the prime factors of 17*(-4 - -3 - -2).
17
Let r be 3/((0 - 0) + -1). Let p be 18/4 - 2/(-4). Let h = p + r. List the prime factors of h.
2
Let q(w) = -w**3 - w**2 + 4*w - 5. What are the prime factors of q(-4)?
3
Let u(f) = -f**3 + 6*f**2 - 3*f - 4. What are the prime factors of u(4)?
2
Let y(b) = -b**2 + 7*b + 2. Let v(a) = a**2 - 2*a + 4. Let k be v(3). Let s be y(k). Suppose 0 = -2*n - s*n + 36. What are the prime factors of n?
3
Suppose 47 + 18 = 5*i. What are the prime factors of i?
13
Suppose 146 + 1625 = 7*a. List the prime factors of a.
11, 23
Let p = -22 + 37. Suppose -5*z + 25 = -p. What are the prime factors of z?
2
What are the prime factors of 2 - 5 - (-26 - 1)?
2, 3
Let p be 1 + (-2 - 0) - -41. Suppose -d - 136 = -3*x, 4*x - p = 3*x - 5*d. Suppose 2*i + 25 = 3*y, 9*y - 5*i = 4*y + x. List the prime factors of y.
7
Suppose 4*r + 7 = 47. Let x be r/(-6) + (-3)/9. List the prime factors of (x/4)/(6/(-84)).
7
Let d = -164 - -294. List the prime factors of d.
2, 5, 13
Let h be -2*1 - (-3 + 1). Suppose 2*y + 3*y = h. Suppose y = l - 3. What are the prime factors of l?
3
Let j(s) = 4*s - 9. Let f be j(7). Let q = 0 + f. List the prime factors of q.
19
Suppose -3*j + 75 = -4*k - 37, -4*k + 32 = j. What are the prime factors of j?
2, 3
Let g(q) = -q**3 - 28*q**2 - 7*q + 2. List the prime factors of g(-28).
2, 3, 11
Let h be (6 + -1)*1 + -1. Suppose -2*d - 104 = -h*b, 4*d = 3*b - 128 + 50. List the prime factors of b.
2, 13
Let v = 143 + -39. What are the prime factors of v?
2, 13
Let o be 3/5 + (-52)/20. Let t be (0/3 - o) + 0. Suppose 0 = -t*h + 25 - 1. What are the prime factors of h?
2, 3
Suppose 7*c = 2*c + 10. Suppose -c*p - 1 = -3. What are the prime factors of 2 - 2 - (-2)/p?
2
Let d = -96 + 179. List the prime factors of d.
83
Suppose 0 = 2*o - 134 - 16. List the prime factors of o.
3, 5
Suppose 4*w = 3*u - 16, 4*u + 0*u + 3*w = 13. What are the prime factors of 4*u - 3/3?
3, 5
Suppose 2 = -3*h + 11. Let f(n) = -1 + n**h + 3*n - 2*n**2 - n + n. List the prime factors of f(2).
5
Suppose -8*q = -2*k - 3*q + 201, q + 189 = 2*k. What are the prime factors of k?
3, 31
Let p = 12 - 12. Suppose 0*v + 2*v - 2*d - 38 = p, -5*d = v - 43. What are the prime factors of v?
23
Let o(k) = 41*k - 3. List the prime factors of o(6).
3
Suppose -21 = -g - 10. Let k be 2/(1 + (-12)/g). Let z = 37 + k. What are the prime factors of z?
3, 5
Suppose -118 + 408 = 5*o. List the prime factors of o/2 + 1 - 4.
2, 13
Suppose -4*p = -3*k + 1, -p = k + 3*p - 11. Suppose n + 4*w = -4, 2*w = -k + 1. What are the prime factors of n + (6*3)/3?
2, 3
Let n be (-1)/(2/3)*-6. Suppose -2*m = -m + 4*j - 6, 0 = j. Let b = n - m. List the prime factors of b.
3
Let v(c) = c - c + 4 - c**2 + c**3 - 5*c**2. List the prime factors of v(6).
2
Suppose 0 = -b + 49. What are the prime factors of b?
7
Suppose -7*g + 132 = -3*g. List the prime factors of g.
3, 11
Let x be (-2)/(-5) - 4/10. Suppose x*j + 3*j = -5*i + 49, j = 2*i + 9. List the prime factors of j.
13
Suppose -547 = -2*x - 147. List the prime factors of x.
2, 5
Let y(r) = -35*r**3 - r**2 + r + 2. What are the prime factors of y(-1)?
5, 7
Let f = 12 + -14. Let d = f - -19. List the prime factors of d.
17
Suppose -96*g = -98*g + 464. List the prime factors of g.
2, 29
Let f(a) = 4*a - 10. What are the prime factors of f(8)?
2, 11
Suppose -685 = 8*y - 13*y. What are the prime factors of y?
137
Let x(d) = -d. Let h be x(-3). Suppose -3*f - 5*r + 69 = 0, 3*r + r = -h*f + 66. List the prime factors of f.
2, 3
Let p = -133 - -84. Let g = -31 - p. List the prime factors of g.
2, 3
Suppose 3*q = -0*q + 6. Suppose 7*x - 4*x - 46 = f, 0 = q*x + 4*f - 12. List the prime factors of x.
2, 7
Let y(f) = 33*f**2 + 1. What are the prime factors of y(1)?
2, 17
Let m be (0 + -2 + 1)*-2. Suppose -4*p + 15 = 5*y, m*y - 6 = -0*y - p. Suppose 5*w - 3*s + 2*s - 13 = 0, y*s + 3 = 3*w. What are the prime factors of w?
3
What are the prime factors of (7/(-2))/((-6)/9)*56?
2, 3, 7
Let d(v) = 14*v + 6. Let t be d(5). Suppose t = 3*j + j. List the prime factors of j.
19
Let y = 5 + -12. Let f(m) = -m**3 - 7*m**2 - 2*m - 5. What are the prime factors of f(y)?
3
Let u = 5 - 1. Suppose 3 + 2 = -5*r. Let y = r + u. What are the prime factors of y?
3
Let l(z) = -z**2 + 13*z - 9. Let o be l(12). Suppose -o*r + 4 = 1. Suppose -7 = -2*a + r. What are the prime factors of a?
2
Let a(f) = 22*f - 32. What are the prime factors of a(16)?
2, 5
Suppose 0 = 3*l - 4*l + 40. What are the prime factors of l?
2, 5
Suppose -2*v - 5*f + 57 = 2*v, -7 = v - 3*f. What are the prime factors of v?
2
Let i(x) = x**3 + 8*x**2 + 6*x - 1. Let u be -1*(-3)/3 - 8. What are the prime factors of i(u)?
2, 3
List the prime factors of (-2)/(-9) - 3124/(-36).
3, 29
List the prime factors of 928/22 + (-13)/(143/2).
2, 3, 7
Suppose -2*d + 2 = -2, 3*d + 2 = 4*b. Suppose -r + 15 = 3*f - b, -3*r = 3*f - 45. List the prime factors of r.
2, 7
Suppose 0 = 6*t - 102 - 42. List the prime factors of t.
2, 3
Suppose -2 - 5 = -x + 5*b, -7 = -2*x + 3*b. Suppose 0 = x*m + 4 + 2. List the prime factors of (6/(-1))/m + 2.
2
Let t = -1 + 7. Let k(o) = 20*o**2 - 15*o + 32. Let y(h) = 7*h**2 - 5*h + 11. Let r(u) = 6*k(u) - 17*y(u). What are the prime factors of r(t)?
11
Let x(o) = o - 1. Let u(v) = 17*v + 2. Let i(p) = u(p) + 3*x(p). What are the prime factors of i(2)?
3, 13
Let c be (0 - 1)/((-2)/54). Suppose 9 = 3*w, 2*w + c = 3*i + 3*w. S
|
{
"pile_set_name": "DM Mathematics"
}
|
qrt(80))*-2 + sqrt(80))**2 + sqrt(80) + 1 + 2)*5.
-20*sqrt(5) + 400
Simplify (5*sqrt(220)/sqrt(80)*-3)/(sqrt(144)/(3*sqrt(144) + sqrt(144) + sqrt(144) - sqrt(9))).
-285*sqrt(11)/8
Simplify (-1 + sqrt(117) + sqrt(117))*4*1 + -1 + sqrt(78)/(sqrt(30)/(sqrt(5) + (sqrt(5)*1 - sqrt(5)))) + 1.
-4 + 25*sqrt(13)
Simplify (4*(4*(sqrt(931)*2 + -1) + -1)*-6)**2 + -2.
-322560*sqrt(19) + 34334782
Simplify -3*(-3 + -5*1*-2*sqrt(243) + 2 + -2)**2.
-72927 + 1620*sqrt(3)
Simplify (0 + (sqrt(352)*-2 - sqrt(352))/sqrt(2) + 1)**2 - (-5 + 5*sqrt(55)/(sqrt(5) + sqrt(25)/sqrt(5)) + 2).
-53*sqrt(11)/2 + 1588
Simplify (((sqrt(405) - (sqrt(405) + 2)) + 2 - sqrt(405) - (sqrt(405) - (sqrt(405) + 0)*4) - (3 + 2 + (2*sqrt(405) - sqrt(405)) + sqrt(405))) + 5)**2.
0
Simplify (-6*6*(sqrt(17) + sqrt(85)/(sqrt(35)/sqrt(7) + sqrt(5) + sqrt(5))) + 1*(1 + sqrt(1700))*5)**2.
20*sqrt(17) + 93
Simplify -4*(3*-1*(sqrt(143) - 1*sqrt(143)))/(-2*(-1*sqrt(66))/sqrt(6)).
0
Simplify 6*(((sqrt(153) - 2*sqrt(153)*5) + -4)**2 + (4*(-2 + sqrt(1700))*-5)**2).
-94704*sqrt(17) + 4164054
Simplify -1 + (1*(2*sqrt(180) + sqrt(180)) - sqrt(180))*-5 + 5 + -1*sqrt(5) + -4 + 4 + -1.
-61*sqrt(5) + 3
Simplify 5*-6*-5*((4 + -2 + sqrt(2736) - sqrt(2736) - sqrt(2736)) + 3)**2*-1.
-414150 + 18000*sqrt(19)
Simplify 0 + ((-1*5*(3 + -5*sqrt(180)) + -5)*6)**2.
-216000*sqrt(5) + 4064400
Simplify -1*((sqrt(210) + -1*-2*sqrt(210))/sqrt(6))/(5*-2*sqrt(252) + sqrt(252) - sqrt(252) - sqrt(252))*-1.
-sqrt(5)/22
Simplify -5*2*(-1*sqrt(88)*6*-4)/(-2*(sqrt(392) - ((-1*sqrt(392) - sqrt(392) - sqrt(392)) + sqrt(392)) - sqrt(392))).
60*sqrt(11)/7
Simplify (-3*(-2 + sqrt(153) - sqrt(153))*5 - ((sqrt(153)*-2 - sqrt(153))**2*-1 - sqrt(153) - 2*sqrt(153)*-3))*6.
-90*sqrt(17) + 8442
Simplify ((-3*sqrt(288))/(sqrt(6) - (sqrt(864) - -1*sqrt(864))))**2 - (-3 + -6*(sqrt(363) + 2*sqrt(363))**2).
10371477/529
Simplify 5 + (1 + 1*((sqrt(2448) + -1)*-5)**2)*-3*-6.
-10800*sqrt(17) + 1102073
Simplify (0 + (sqrt(272) + 1 - sqrt(272) - (sqrt(187) - (sqrt(187) + (-2*sqrt(187) - sqrt(187)) + sqrt(187)))/sqrt(11)) + 2 + 6*sqrt(68)/sqrt(16))**2.
6*sqrt(17) + 26
Simplify (-2*(5*(sqrt(88) - (sqrt(88)*-1 + sqrt(88) - sqrt(88))) + sqrt(88) + sqrt(88)*1*-5))/(2*2*1*sqrt(128)).
-3*sqrt(11)/4
Simplify (((-1*sqrt(208) + -2 - sqrt(208)) + -4)**2 - (1 + sqrt(208) + -2 + -3 + sqrt(208))) + -5.
88*sqrt(13) + 867
Simplify -4*((-2*sqrt(510)/sqrt(10))/(-4*sqrt(27)/sqrt(9)) + 4).
-16 - 2*sqrt(17)
Simplify (sqrt(300)*-5 + 3 - sqrt(300)*4*3 - (sqrt(300) + sqrt(300) + sqrt(300)*3 + -4 + sqrt(300)*-5 + -3))**2.
-3400*sqrt(3) + 86800
Simplify 4 + ((-5*(-2*sqrt(95) + sqrt(95) - sqrt(95)) + sqrt(95))/sqrt(5) - (-1 + (sqrt(76)/sqrt(4))**2 + sqrt(171)/sqrt(225))) + 3.
-11 + 54*sqrt(19)/5
Simplify (-3*(-6*sqrt(156)*-1 - sqrt(156)))/((sqrt(96) + 2*sqrt(96)*-6 - sqrt(96))/sqrt(8))*1.
5*sqrt(13)/4
Simplify 2*((sqrt(56) + sqrt(56)*-1)*3*4)/(-3*sqrt(1575)).
0
Simplify (sqrt(3600)*-3 - (-3*sqrt(360) + sqrt(360))/sqrt(10))/(2*sqrt(108)*5).
-14*sqrt(3)/15
Simplify (-4 + (-1*sqrt(6912) + 1 - (1*sqrt(240)/sqrt(5) + -3)) + 5)*4.
-208*sqrt(3) + 20
Simplify 3 + (2*(1 + (-2 + sqrt(72))*3))**2*-6 + -1.
-16150 + 4320*sqrt(2)
Simplify (sqrt(1053) + -1*sqrt(1053) + 3 + 3 + sqrt(1053) + 0)**2 + (sqrt(468)*2 + -1*sqrt(78)/sqrt(6))**2.
108*sqrt(13) + 2662
Simplify (1*(4 + 1*sqrt(539) + 3 - (3 + ((sqrt(539) - ((sqrt(539) - sqrt(539)*1) + sqrt(539))) + sqrt(539) - sqrt(539)) + 1*sqrt(539)*4)))**2.
-168*sqrt(11) + 4867
Simplify (4 + (-4 + sqrt(7) - sqrt(7) - sqrt(7)))**2 - 3*sqrt(35)/sqrt(5) - ((3*sqrt(175) - sqrt(175)) + 4 + -1)**2.
-702 - 63*sqrt(7)
Simplify 5*(2 + sqrt(405)*3)**2 - (sqrt(1280)*2 - sqrt(1280))/(sqrt(196)*1).
3772*sqrt(5)/7 + 18245
Simplify (-5*(sqrt(3402) + (sqrt(3402) - ((sqrt(3402) - -2*sqrt(3402)) + sqrt(3402)))*-4))/((sqrt(1944) - sqrt(1944)*4)*2).
65*sqrt(7)/12
Simplify 3 + ((sqrt(187) + 3*sqrt(187)*3)*2)/(sqrt(275) + sqrt(275) + sqrt(275) + sqrt(275) + -1*sqrt(275) - sqrt(132)/sqrt(300)).
3 + 50*sqrt(17)/37
Simplify -3 + -4 + (0 + ((sqrt(325) + 1)*2 - sqrt(325)) + -3 + -1 + sqrt(325))**2.
-40*sqrt(13) + 1297
Simplify -4*(3*5*sqrt(18)/sqrt(6)*3 + (-1*sqrt(81))/(sqrt(27)*-4)).
-181*sqrt(3)
Simplify 1*((4 + 3*sqrt(1872)*-1 + sqrt(1872) + sqrt(1872) + sqrt(1872)*1 + -3)**2 + 3 + 5) + 3.
12
Simplify (3 + ((2*-4*sqrt(27))**2 - (sqrt(243)*3 + -3)))*5.
-135*sqrt(3) + 8670
Simplify 4*4*(1 + (2 + (sqrt(500) + 0)*3)**2*4).
7680*sqrt(5) + 288272
Simplify ((sqrt(68) - (sqrt(68) + (sqrt(68)*2 + sqrt(68))*-4)) + 5*(sqrt(68) - sqrt(68)*3 - sqrt(68)))/(sqrt(64)/sqrt(4) + 1*sqrt(196)).
-sqrt(17)/3
Simplify (((sqrt(605) - (4 + 0 + sqrt(605) + sqrt(605))) + -4)*2 - ((-1*sqrt(605) + 2 - ((sqrt(605)*-1 - sqrt(605)) + -1)) + -2))**2.
1122*sqrt(5) + 5734
Simplify (1*3*sqrt(170)*-6*3)/(((sqrt(120)/sqrt(3) - sqrt(10)) + sqrt(40) + sqrt(120)/sqrt(3) + sqrt(10))*-2).
9*sqrt(17)/2
Simplify (-6*5*sqrt(96)*1)/(1*-6*sqrt(200)).
2*sqrt(3)
Simplify (sqrt(275) + sqrt(275) + -2 + sqrt(11)*-1*-2 + (-2*sqrt(4752))/sqrt(3))*-2*-1.
-24*sqrt(11) - 4
Simplify 4*(-2 + 1 + -3 + sqrt(3200) + sqrt(3200)*-2 + sqrt(3200) + -5*(sqrt(3200) + sqrt(3200)*1*-6) + 5)**2.
8000*sqrt(2) + 8000004
Simplify 0 + 1 + 3*2*(-4 + sqrt(539) + (sqrt(539) - (sqrt(539) - ((sqrt(539) + -1)*2 + sqrt(539)))**2)) + -1.
-12984 + 420*sqrt(11)
Simplify 6*((1*(sqrt(12)/(sqrt(64) + 1*sqrt(64) + sqrt(64) + sqrt(64) + sqrt(64)) + sqrt(33)/(2*sqrt(11)) + 4))**2 + 2).
132*sqrt(3)/5 + 22689/200
Simplify (-4*sqrt(1134)*-3*-3)/(1*sqrt(35)/(sqrt(5) - sqrt(245)*-5)).
-11664*sqrt(2)
Simplify -3*((5*sqrt(605)*1)**2 - -2*(sqrt(605) - (sqrt(605) + 2)) - -1*(-3 + sqrt(605) + 1 + 0)).
-45357 - 33*sqrt(5)
Simplify -3*6*((-2*(3 + (sqrt(475) - (4*sqrt(475) - sqrt(475)))*-6 + 4))**2 + 0).
-4928328 - 60480*sqrt(19)
Simplify 2 + -4*((-6*(sqrt(567) + 0 + sqrt(567) + sqrt(567)) + 4)**2 - (-4 + sqrt(567)*-2 + 3*sqrt(567)*-2)**2).
-589678 + 7488*sqrt(7)
Simplify -3*(sqrt(13) - (sqrt(117) + 0) - sqrt(39)/sqrt(3)*5 - ((0 + sqrt(1300) - sqrt(1300)) + -1 - (-1 + sqrt(1300))*3))**2.
-20643 + 276*sqrt(13)
Simplify ((sqrt(84) + -6*sqrt(84)*3 + sqrt(84) - sqrt(84)) + -2*sqrt(84)*2)/(-3*(sqrt(432) - ((1*sqrt(432)*-1 - sqrt(432)) + sqrt(432)) - sqrt(432))) + 5.
7*sqrt(7)/6 + 5
Simplify (4 + (sqrt(108) + 6*sqrt(108)*1 + sqrt(108) + sqrt(108)*2 + 3 + sqrt(108) + -2 - (sqrt(108) - -1*sqrt(108)*3 - (sqrt(108) + 1 + sqrt(108))*2)*-4))**2.
-396*sqrt(3) + 13077
Simplify (sqrt(35) + sqrt(105)/(-6*sqrt(3)) - (2*sqrt(420))/sqrt(12))/(-5*(-6*-5*sqrt(500) + sqrt(500))).
7*sqrt(7)/9300
Simplify (-2*(sqrt(121) + sqrt(121) + (sqrt(121) - sqrt(121)*2*5) + sqrt(121))*1)/(3*(1*sqrt(44) + sqrt(275)*-1)).
-4*sqrt(11)/3
Simplify (((sqrt(1539)*2)**2 - (sqrt(171) + 1)**2)*6 - (-3*sqrt(152)*-1 - sqrt(152))/(sqrt(56)/sqrt(28) - sqrt(8)))*4.
-128*sqrt(19) + 143616
Simplify (0 + -3 + sqrt(208) + 3 + 4)**2 - (-2 + (1*sqrt(468) - ((sqrt(13) + sqrt(91)/sqrt(7) - sqrt(13)) + 0))).
27*sqrt(13) + 226
Simplify (6*1*sqrt(242)*-3)**2 - -6*(1 + sqrt(128))*5.
240*sqrt(2) + 78438
Simplify -4*(((sqrt(147) + sqrt(147)*3)/sqrt(7))/sqrt(7))**2 - (-3 + (2 + sqrt(3888))**2).
-4081 - 144*sqrt(3)
Simplify 3*1*(-5 + (3 + (-1 + sqrt(1323) - -4*sqrt(147)*1))**2).
588*sqrt(3) + 21606
Simplify ((sqrt(143) + (sqrt(143) - sqrt(143)*-4 - sqrt(143)))*-1 + sqrt(143)*-3*-1)/(sqrt(99)/(sqrt(9)*4) + sqrt(66)/(sqrt(6)*3 + sqrt(6))).
-4*sqrt(13)
Simplify (-4*-2*-2*sqrt(3456))/((-3*sqrt(32)/sqrt(2))/((sqrt(288)*-2 - sqrt(288)) + sqrt(288))).
-1536*sqrt(3)
Simplify (((-1*sqrt(150) + sqrt(150) - sqrt(150))*5)/(sqrt(20)/(sqrt(2)*-1)))/(6*-4*(sqrt(180) + 2*sqrt(180))).
-5*sqrt(3)/432
Simplify ((sqrt(35)*-1*-3 + sqrt(140)/sqrt(4)*-6)/((-3*(sqrt(405) - (sqrt(405) - sqrt(405)*-2)) - sqrt(405))*-1))**2.
7/225
Simplify 1 + sqrt(1573) + sqrt(39)/sqrt(3)*5 + sqrt(2548)*1 + -1*(sqrt(364)/sqrt(28))/(2*sqrt(256)).
1 + 959*sqrt(13)/32
Simplify sqrt(51)/(sqrt(3)*-3*6)*-5 + (sqrt(136)*2*-1)/(sqrt(64)/(sqrt(24)/sqrt(3))).
-31*sqrt(17)/18
Simplify (-5 + (sqrt(1008) - (sqrt(1008) - (-2 + sqrt(1008) + sqrt(1008) - sqrt(1008)))) + -5)**2 - (0 + -6*(-2 + sqrt(7))*4)**2.
-5184 + 2016*sqrt(7)
Simplify (((sqrt(132) + sqrt(132)*3)/sqrt(4) - sqrt(33)) + sqrt(33) + 5*(sqrt(33)*2 + sqrt(33)))/(((-2*sqrt(1331) - sqrt(1331)) + sqrt(1331))*-3*4).
19*sqrt(3)/264
Simplify s
|
{
"pile_set_name": "DM Mathematics"
}
|
-9)*f)/f)*f*f*f)*f))**(-6/7) assuming f is positive.
f**(-24)
Simplify k**(-1/2)*k*k/((k*k/k**(1/2))/k) assuming k is positive.
k
Simplify (p/(p*p*p*p**(-2/3)/p*p*p*p))/p**(11/5) assuming p is positive.
p**(-83/15)
Simplify (c/(c*c**(-2/9)))**(-2/35)/((c*c/(c**1/c)*c)/c*c)**(2/61) assuming c is positive.
c**(-2134/19215)
Simplify (p/(((p**(1/3)/p)/p)/p))**(-3)/(p**(-2))**17 assuming p is positive.
p**23
Simplify (((q*q**(-6))/q)**(1/62))**(-19) assuming q is positive.
q**(57/31)
Simplify s**(-6)/(s*s**(1/6)/s) assuming s is positive.
s**(-37/6)
Simplify k/((k/(k/(((k**(-2)/k)/k*k)/k)))/k)*k*k**(4/5) assuming k is positive.
k**(39/5)
Simplify b*b**35*b*b/(((b*b**(3/2))/b)/b)*b assuming b is positive.
b**(77/2)
Simplify (m*m**(-10)/m)**(10/9) assuming m is positive.
m**(-100/9)
Simplify ((z/(z*z/z**2))/z)**(-1/66)*((z**2/z)/z*z)/z*z**(7/4) assuming z is positive.
z**(7/4)
Simplify (q**(5/3)*q)**(-23) assuming q is positive.
q**(-184/3)
Simplify z**1*z*z/(z**(-28)*z*z*z) assuming z is positive.
z**28
Simplify (j**8*j*j**(-3))**30 assuming j is positive.
j**180
Simplify (d**0/d)**(-3)*d*d**6*d**2 assuming d is positive.
d**12
Simplify (o*o**(-5/3)*o**7)/(((o*(o*o*o**5)/o*o)/o*o*o)/o**3) assuming o is positive.
o**(1/3)
Simplify ((c*c**0)/c)**(2/15)*(c**(-2))**(1/5) assuming c is positive.
c**(-2/5)
Simplify ((t*(((t/t**(-2/19))/t)/t)/t)/(t/(t*t**(-6)*t)))**(3/4) assuming t is positive.
t**(-84/19)
Simplify (z*(z/(z**(-9/8)/z))/z)/z**(14/9) assuming z is positive.
z**(113/72)
Simplify (w*w**(1/5)*w*w/w**(-5/7))/(w/(w*w**10)*(w**8/w*w)/w) assuming w is positive.
w**(242/35)
Simplify (t**(-1/22)/(t*t/(t**(3/4)*t)*t*t))**(2/35) assuming t is positive.
t**(-101/770)
Simplify (j*j/((j*j**(9/4))/j)*j**12)**48 assuming j is positive.
j**564
Simplify (b**(-2/15)*b**(-2/5))**39 assuming b is positive.
b**(-104/5)
Simplify ((r**(3/4))**(2/55))**29 assuming r is positive.
r**(87/110)
Simplify j*j**(1/22)*j*j**(-3) assuming j is positive.
j**(-21/22)
Simplify (s*s**(-2))**16 assuming s is positive.
s**(-16)
Simplify m*(m*m**27)/m*m*m**(14/5) assuming m is positive.
m**(159/5)
Simplify h**(19/4)/h*h*h*h*h**(-6/5) assuming h is positive.
h**(111/20)
Simplify (v**(-4)*v**5)**17 assuming v is positive.
v**17
Simplify u**9*u/(u/(u/u**(-1/4)*u))*((u/(u**(-1/3)*u*u))/u)**14 assuming u is positive.
u**(-145/12)
Simplify j**(-7)*j**(-9) assuming j is positive.
j**(-16)
Simplify (l/l**8*l/((l/(l*l*l/l**(-12)))/l))**(6/29) assuming l is positive.
l**(54/29)
Simplify h*h**(7/3)*h*h*h**(-41) assuming h is positive.
h**(-107/3)
Simplify (y**4/y*y/(y*y**(-2/7)*y*y))**18 assuming y is positive.
y**(162/7)
Simplify (d**0)**(2/57) assuming d is positive.
1
Simplify z*z**1*z*z*z*z**(1/3)*z**(-1/9)*z/(((z**(-1)*z)/z)/z) assuming z is positive.
z**(74/9)
Simplify (a**(-1/2))**(-1/40)*(a*a*a**(1/2))**(-17) assuming a is positive.
a**(-3399/80)
Simplify h**0/(h/((h/(h/(h*h/h**16)))/h*h)) assuming h is positive.
h**(-15)
Simplify ((g*(g/g**(-3/5))/g)/(g*g/(g**(-2/7)/g)*g))**18 assuming g is positive.
g**(-1692/35)
Simplify h/h**(-21)*h/h**(-3/14) assuming h is positive.
h**(325/14)
Simplify (c*c**2)**22*((c*c**(-3/7))/c*c)/(c**(-3/7)*c) assuming c is positive.
c**66
Simplify (b*b**(2/7))**(2/135)/(b/(b*b**(-2/7)))**28 assuming b is positive.
b**(-838/105)
Simplify ((b*b*b**(-3))/b*b**(2/13))**(-2/21) assuming b is positive.
b**(16/91)
Simplify (d**(-2/13)*d/(d/(((d*d**(-7))/d)/d)))/(d/(d*d**(-1/5)*d*d*d)*d**(-1)) assuming d is positive.
d**(-283/65)
Simplify (u*u/(u**(-2/11)/u))**32 assuming u is positive.
u**(1120/11)
Simplify b/(b/b**17*b)*(b*b*b*(b*b/(b/(b/((b*b/(b**(-1/17)/b))/b))))/b*b*b)/b*b assuming b is positive.
b**(339/17)
Simplify g*g**1/g*g**(-3)*g*g*(g**1)**31 assuming g is positive.
g**31
Simplify m**(-8)*m**(-5/4)*((m*(m**(-2/7)*m*m)/m)/m)**(2/119) assuming m is positive.
m**(-30781/3332)
Simplify z**(-6/13)*z*z**(-46) assuming z is positive.
z**(-591/13)
Simplify (g/(g**(-3/11)*g))**(-37) assuming g is positive.
g**(-111/11)
Simplify d**0/d**5 assuming d is positive.
d**(-5)
Simplify (r**(-7)*r*r/(r/r**(-2/7))*r)**(-11) assuming r is positive.
r**(407/7)
Simplify y/(y**(2/21)*y)*y**(1/16)*y*y**(-4)*y**(5/3) assuming y is positive.
y**(-153/112)
Simplify (z**(-3)/(z/(z/(z*z**(4/9)))))/(z/(z/(z*z**(5/2)))*z*z**7) assuming z is positive.
z**(-287/18)
Simplify (x/x**(3/17))/(x/x**13) assuming x is positive.
x**(218/17)
Simplify (n**(2/9))**(-1/15) assuming n is positive.
n**(-2/135)
Simplify r**(-4/25)/r*(r/r**(-4/7))/r assuming r is positive.
r**(-103/175)
Simplify (p*p**1)**(-3/16)/((p/(p*p*p**10))/((p**2/p)/p)) assuming p is positive.
p**(85/8)
Simplify (x/(x/x**(-1/10)))**(-21) assuming x is positive.
x**(21/10)
Simplify (((v/((((v**(35/4)/v*v)/v)/v)/v*v))/v)/v*v)/v**20 assuming v is positive.
v**(-107/4)
Simplify (b**18*b)/(b/(b**(-25)/b)) assuming b is positive.
b**(-8)
Simplify z*z**7/z*z**9 assuming z is positive.
z**16
Simplify ((j*j**(-1))/j*j)**(14/9)*j**(-3/5)*j*j**(-1/4)/j*j*j assuming j is positive.
j**(23/20)
Simplify f**6/f**(1/7)*(f/f**(1/2))**30 assuming f is positive.
f**(146/7)
Simplify ((h/(h/(h*h*h**(-2/105)*h)))/h)/(h**(2/7)*h) assuming h is positive.
h**(73/105)
Simplify (c**(2/7)/(c/c**(-7)))**(-30) assuming c is positive.
c**(1620/7)
Simplify (n**(-11/5))**(-2/17) assuming n is positive.
n**(22/85)
Simplify (a/(a**(2/7)/a*a)*a*a)**(-2/77) assuming a is positive.
a**(-38/539)
Simplify (v**0)**(-13)*(v**0)**(-37) assuming v is positive.
1
Simplify ((d**(-10)*d)/d*d)/(d/d**(2/39)) assuming d is positive.
d**(-388/39)
Simplify n**(1/16)*n**5 assuming n is positive.
n**(81/16)
Simplify ((o**(-1))**(10/17))**(-17) assuming o is positive.
o**10
Simplify (c/c**(2/5))**(-27)/(c/(c*c/(c**(-2/3)*c)))**42 assuming c is positive.
c**(59/5)
Simplify (h**14/h**(-5/3))**7 assuming h is positive.
h**(329/3)
Simplify (f**(-1/2)*(f/f**(-2/17))/f)**(-1/13) assuming f is positive.
f**(1/34)
Simplify (k/(k*k*k*k**(-5/4)/k)*k*(k**(-4)*k)/k)**(1/42) assuming k is positive.
k**(-11/168)
Simplify (k**(1/3)*k*k*k*k**(-3/4))/((k/((k**(-8/3)/k)/k))/((k*k/(k/(k*k/k**(-4))))/k*k)) assuming k is positive.
k**(47/12)
Simplify ((j/j**(3/10))/(j*j**14))**(-6/11) assuming j is positive.
j**(39/5)
Simplify ((r*r*r*r**1)/r)**(-4/5)/(r/r**(2/7))**(4/17) assuming r is positive.
r**(-1528/595)
Simplify (j*j**(-27))**(-1/49) assuming j is positive.
j**(26/49)
Simplify (d/d**(8/3))**(-33) assuming d is positive.
d**55
Simplify (n**(-11/2)/n**(-7))**44 assuming n is positive.
n**66
Simplify ((j**2/j)**(2/43))**(-32) assuming j is positive.
j**(-64/43)
Simplify (i**(2/17)*i)/(i/(i**(-5)*i))*(i**(-2/3))**(-43) assuming i is positive.
i**(1264/51)
Simplify p*p*p**23/p*p*p**(-30)*p assuming p is positive.
p**(-4)
Simplify (r**(-1/3))**(-5/14)*(r/r**1)**(15/7) assuming r is positive.
r**(5/42)
Simplify ((x*x*x**(5/4)/x)/((x*x**(-5)*x)/x))/(x*x**(2/9)*x*x**(-5)) assuming x is positive.
x**(325/36)
Simplify q**(6/5)/q*q/(q/q**(-2/15))*q*(q**(-2/5)*q)/((q/(q**(2/3)*q*q))/q) assuming q is positive.
q**(13/3)
Simplify (z**0*(z/(z*(z/(z/(z/((z/(z**4/z))/z*z*z))))/z*z)*z)/z*z)/(z**(2/3))**17 assuming z is positive.
z**(-37/3)
Simplify (q**(5/7))**(-28) assuming q is positive.
q**(-20)
Simplify (x**0)**(9/4)/(x**1)**(3/23) assuming x is positive.
x**(-3/23)
Simplify (x**(3/7)*x/(x*x*x**(10/7))*x)**(-29) assuming x is positive.
x**29
Simplify (z**(-1)*z**(-1/7))**(-1/68) assuming z is positive.
z**(2/119)
Simplify (h*h*(h/(h**11*h))/h)**(-1/14) assuming h is positive.
h**(5/7)
Simplify (u**(-6)*u/(u/(u/(u**2*u*u))))**(-19) assuming u is positive.
u**171
Simplify (o*(o*o*o**16*o)/o*o)/(o*o**(-22)) assuming o is positive.
o**41
Simplify (t/(t*t**(-1))*t)**(3/19)/(t/(t*(t/t**(1/3))/t))**31 assuming t is positive.
t**(-571/57)
Simplify ((h/h**(-2/7))**(-37))**(-1/23) assuming h is positive.
h**(333/161)
Simplify (o**13/o)**(-48) assuming o is positive.
o**(-576)
Simplify ((c*c**(-1/2))/(((c/((c**(-5)/c)/c*c)*c)/c)/c))**(-1/9) assuming c is positive.
c**(11/18)
Simplify (d*d**(-7/4))/((d**(-1/3)*d)/d) assuming d is positive.
d**(-5/12)
Simplify ((k/(k/(k*k/((k*k*k**(-25)*k)/k)*k)))/k*k)/k**(-14/3) assuming k is positive.
k**(92/3)
Simplify (i**(1/2))**(2/115) assuming i is positive.
i**(1/115)
Simplify
|
{
"pile_set_name": "DM Mathematics"
}
|
= 62 + d. Is n a multiple of 13?
False
Let v be 3 + (4 - 8) - -4*7. Suppose 0 = -28*k + v*k + 220. Does 11 divide k?
True
Let i(o) be the first derivative of 5*o**4/4 + o**3/3 + o**2/2 + 2*o + 2. Does 24 divide i(2)?
True
Suppose 0 = -2*p - 6, -6*a + 5*p = -7*a + 1435. Is 10 a factor of a?
True
Let f be 28/2 + 7 + -8. Let b = f + -9. Suppose -b*h - 44 = -8*h. Does 2 divide h?
False
Let u(s) = -s**3 - 1. Let q(y) = -9*y**2 - 8*y - 13. Let z(g) = q(g) + u(g). Does 29 divide z(-9)?
True
Let a(y) = -y - 5. Let b be a(-6). Let c be (13 - (1 - 3))/b. Suppose 3*l + 3*h - c = 0, -2*h + 29 + 2 = 5*l. Does 2 divide l?
False
Let r be (-336)/(-156) + 2/(-13). Suppose 0 = -u + 2*s + r, 0 = -4*u - 2*s + 7*s + 8. Suppose 0 = -0*v - u*v + 66. Does 11 divide v?
True
Let v = -47 + 49. Is 7 a factor of (-39)/(-65) + v/5 - -69?
True
Suppose 5*s - 365 = -3*c + 3*s, 2*c - 3*s - 265 = 0. Is 5 a factor of c?
True
Suppose 5*a - 438 = -w, -w + 8 = -5*a - 480. Is 28 a factor of w?
False
Let b(x) = -6*x + 14. Let z be b(7). Let w = z + 28. Suppose w = -3*d + 2*d + 39. Is d a multiple of 13?
True
Suppose 313*d + 34155 = 328*d. Is 98 a factor of d?
False
Let l be 2/6*(-1 + 16*28). Let n = l - 22. Does 22 divide n?
False
Let a be 12/10*40/12. Does 4 divide ((-168)/(-60))/(a/10)?
False
Suppose 51*y - 59*y = -5376. Is 14 a factor of y?
True
Let h(s) = 2*s**3 - 12*s**2 + 5*s - 14. Let y be h(8). Suppose 3*v + 4*i = y, -5*i - 1 = -16. Is 15 a factor of v?
True
Let g(j) = j**2 + 3*j - 45. Let h be g(0). Is 9 a factor of (-4)/18 + (-7300)/h?
True
Let w(m) = 4 + m**3 - m**2 + 158*m - 158*m. Let s be w(0). Suppose -s*o = 2*p - 62, 2*p - 3*o - 44 = 2*o. Is 5 a factor of p?
False
Is 3 a factor of 9 + 6 + -3 + -6 - -258?
True
Let i be -3 + -2 + 1 + 4. Suppose -5*u - u + 72 = i. Is u a multiple of 6?
True
Let g = -33 + 35. Suppose g*h + 325 = 7*h. Is 13 a factor of h?
True
Let q = -924 + 1309. Does 33 divide q/14*5/(25/24)?
True
Suppose -133*r - 8800 = -165*r. Is r a multiple of 7?
False
Let k be ((-3)/(-9))/((-1)/(-12)). Suppose -4*a - 4*q + 60 = 0, -k*a - 2*q = 3*q - 60. Does 5 divide a?
True
Suppose 2*v - c = 2 + 2, -4*c + 2 = -2*v. Suppose 4*t = -3*y + 106, 121 = v*y + 3*t - 2*t. Is y a multiple of 14?
True
Let k be 2 + (-16)/10 - (-27)/45. Let n(o) = 31*o**2 - o + 1. Is n(k) a multiple of 11?
False
Suppose 3*w - w = 4. Does 2 divide 128/24*3/w?
True
Let m(i) = 86*i**2 + i + 7. Is 21 a factor of m(-3)?
False
Let r = -31 + 54. Suppose -2*m - r = -7*m - a, 7 = 4*m - 3*a. Suppose 3*j - m*w - w = 77, -5*w = -4*j + 106. Is 12 a factor of j?
False
Suppose 3*a - 2 = s + 4*a, a - 4 = -3*s. Let n(z) = 93*z - 3. Let h be n(s). Suppose 2*p = -q + 104, 4*q - q - 3*p - h = 0. Does 24 divide q?
True
Let i = -451 + 546. Does 6 divide i?
False
Let t be ((-12)/8)/((-3)/(-6)). Let b be 1/2*(3 - t). Suppose 2*s = b*s - 59. Does 17 divide s?
False
Suppose 4*w + t = w + 19, w = -2*t + 3. Let a(u) = 3*u**2 - 42*u + 50. Let o(i) = i**2 - 14*i + 17. Let d(n) = w*o(n) - 2*a(n). Is d(14) a multiple of 5?
False
Suppose 0 = 2*p - 477 - 359. Is p a multiple of 38?
True
Let d(b) = -b + 3. Suppose -5*p + 3*g + 25 = 0, 3*p = -4*g - 3 - 11. Let x be p + (1 - 8) + -2. Is 10 a factor of d(x)?
True
Let l(r) = 5*r - 22. Let d be l(5). Suppose 2*y = -y - d*b + 504, 5*y - 848 = -b. Is 34 a factor of y?
True
Let q = 68 + -39. Suppose 3*p - 4*p = a - 5, 4*p - 5*a = q. Let d = p - -4. Is 5 a factor of d?
True
Let f(y) = y**3 + 26*y**2 - 14*y + 42. Does 62 divide f(-24)?
False
Let h = 13 - 13. Suppose -3*d + 2 + 13 = h. Suppose -d = l - 29. Is 24 a factor of l?
True
Suppose -9*j + 2122 + 2630 = 0. Does 33 divide j?
True
Let x(k) = -k**2 - 2*k + 527. Does 17 divide x(0)?
True
Let o = -2 - -2. Suppose o = -3*y + 273 + 24. Is y a multiple of 33?
True
Suppose -5*j = j. Suppose -3*f - 4*b - 363 = j, 576 = -5*f + 2*b + b. Is 314/13 - (-18)/f a multiple of 12?
True
Suppose 4 = -10*g + 6*g. Is (-2 - (-1)/g) + 222/2 a multiple of 12?
True
Suppose 2*l - 74 = -2*r, -l + 124 = 4*r - 5*l. Let k = 45 - r. Is 2 a factor of k?
False
Let p(c) = c + 13. Let d be p(-11). Suppose -k - d*t = -6, 3 = -k + 2*t + 9. Is k a multiple of 6?
True
Let n(k) = k**2 + 8. Suppose -9 = -5*h + 3*t, 4*h + 3 = -4*t + 23. Suppose -h*w = -w - 16. Does 11 divide n(w)?
False
Let s = -684 + 1256. Is s a multiple of 22?
True
Suppose 6*x - 3*x - 765 = 0. Suppose -i + u = -83, 2*i + i - x = 5*u. Is 16 a factor of (24/30)/(2/i)?
True
Let o(n) be the first derivative of n**4/4 - 4*n**3/3 + n**2/2 + n + 4. Is o(5) a multiple of 12?
False
Suppose -30*p + 28*p = f - 1783, 9 = -3*f. Is p a multiple of 47?
True
Suppose -4*q - 84 = -p, 4*q = -4*p + 96 + 180. Suppose z - p = -2*t, 4*z + 36 = t - z. Is t a multiple of 12?
True
Let c(m) = -m**3 - 34*m**2 + 60*m + 36. Does 12 divide c(-36)?
True
Let k(v) = 4*v**3 + v**2 - 1. Let x be k(1). Suppose 2*s + 458 = -5*o, x*s + 290 = -3*o - s. Does 25 divide (10/(-6))/(2/o)?
True
Let y(s) = -2*s + 23. Let v be y(-12). Suppose 3*d + 0*f - f = v, f - 33 = -2*d. Is d a multiple of 16?
True
Let i = 607 - 922. Is 9/(-6) - i/6 a multiple of 8?
False
Let f = 319 - 153. Does 83 divide f?
True
Let l be (-710)/35 + (-2)/(-7). Is (111/2)/((-95)/l + -4) a multiple of 5?
False
Is 53 a factor of 108 + -4 - 6/12*-4?
True
Let d be 201 + -1 + (-2 - 2). Suppose -f + d = 64. Is f a multiple of 32?
False
Let w be 237 - (0 - (2 - -1)). Suppose 12*b + w = 15*b. Is b a multiple of 16?
True
Let q(a) = -51*a + 12. Is 8 a factor of q(-1)?
False
Suppose 2*y - a = 722, -2*y + 0*y + 732 = 4*a. Is 12 a factor of y?
False
Is 2/12 + (-56021)/(-42) a multiple of 35?
False
Let u be (-2)/3 - 4/(-6). Suppose 3*a + 6 = 0, 4*a + 60 = -u*m + m. Is m a multiple of 16?
False
Let h = -5 + 3. Let t(i) = -63*i**2 + 12*i + 16. Let q be t(-2). Is 1/(h + q/(-128)) a multiple of 8?
True
Suppose -4*m = t - 3*t - 24, 4*t + 3*m = -4. Is 8 a factor of (-1 + t/(-1))*(-22)/(-2)?
False
Let x(b) = 15*b - 4. Let n be x(-3). Let g = 81 + n. Suppose 0 = -l + 5*l - 4*z - g, -3*z = -4*l + 37. Is l a multiple of 13?
True
Suppose 0 = 5*v - 21*v + 7056. Is v a multiple of 45?
False
Suppose -2*i + 20 = 3*i. Suppose 818 = i*f + 2*p, -5*p = -4*f + 450 + 361. Suppose f = 3*l - 0*l. Does 17 divide l?
True
Is 4 a factor of (1332/(-24) + 3)/((-6)/28)?
False
Let r(x) = x. Let j(i) = 2*i + 19. Let p(o) = j(o) - 3*r(o). Is p(-15) a multiple of 34?
True
Does 13 divide (-6 - -7)*-3 - -1206?
False
Suppose -4320 = -12*o + 4*o. Is o a multiple of 12?
True
Let y be 12/(-48) - (-197)/4. Is 226/7 + (-14)/y a multiple of 8?
True
Let o be (-44)/6 - (-4)/12. Let n(s) = 2*s**2 - 5*s + 7. Let v be n(o). Suppose -4*j = -9*j + v. Does 7 divide j?
True
Let t(b) = -b**3 + 10*b**2 + 11*b + 18. Suppose w + 11 = 20. Does 18 divide t(w)?
True
Let v(f) = 11*f - 4. Let z be v(-4). Suppose 2*r + 10 = -3*r. Is 7 a factor of (6/18)/(r/z)?
False
Let o(l) = l**2 - 3*l - 4. Let j(m) = -m + 14. Let v be j(8). Let d be o(v). Suppose d = f + f. Is 2 a factor of f?
False
Let g(h) = 128*h + 3. Let v be g(1). Suppose u - 25 = v. Is u a multiple of 44?
False
Let d(j) = 3*j**2 - 3*j + 2. Let g be d(2). Let a = 12 - g. Suppose -a*u + 70 = -98. Is 14 a factor of u?
True
Suppose 2*b + 4537 = -4*y + 17415, 12875 = 4*y + b. Does 17 divide y?
False
Let n(q) = 69*q**2 - 8*q + 8*q - 2*q + 0*q + 3. Is 7 a factor of n(1)?
True
Let i(f) = -f**3 - 4*f**2 - 4*f + 1. Let p be i(-3). Let o be (28 - p) + 4 + -2. Let k = -14 + o. Is k a multiple of 5?
False
Let m(a) = -a**3 - 3*a**2 - 4*a. Let o be m(-2). Let v(l) = 22*l - o*l + 12*l. Is 10 a factor of v(1)?
True
Let t = -251 - -443. Suppose -7*m - 18 = t. Is 9 a factor of (-62)/(-5) - 18/m?
False
Is (-7)/((-28)/(-12))*-21*5 a multiple of 15?
True
Let u = -65 - -133. Is (u/(-7))/((-10)/35) a multiple of 10?
False
Suppose -4*g + 20 = 0, -g - 5 = -5*a - 0. Suppose -2*v - a*v - 16 = 0, -3*y = -3*v - 339. Is y a multiple of 26?
False
Let q(o) = -15*o + 17. Let p(w) = -29*w + 33. Let c(l) = -2*p(l) + 5*q(l). Is 23 a factor of c(-7)?
True
Let p(d) = 36*d - 380. Let b(o) = 7*o - 76. Let x(r) = 16*b(r) - 3*p(r). Is 24 a factor of x(25)?
True
Suppose -2*y - y - 2*g = -65, -4*y + 79 = -5*g. Let w = 7 - 21. Let f = y + w. Is f a multiple of 4?
False
Let s(b) = -b**3 + 11*b**2 + 13*b + 1. Let c be s(12). Let m = 7 + c.
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) 0.2 (c) 1 (d) -5/364 (e) -18 (f) 2
e
What is the closest to 7261 in 2/5, -0.6, -1.6?
2/5
What is the closest to -2/57 in -3, -0.1, 5, -0.8?
-0.1
Which is the closest to -0.4? (a) 0.5 (b) -2/6081 (c) 65/3
b
What is the closest to 0 in 1/16, -10, -37, -2/7, -1227?
1/16
What is the nearest to -1/3633 in 3, 0.3, -2.2, 0.01?
0.01
What is the closest to 0.1 in -5, 15, -3454, -2, -3/5?
-3/5
What is the nearest to 0.06 in 0.1, -0.5, 17, -2/15, 22503?
0.1
Which is the nearest to -2/7? (a) 1 (b) 6839 (c) -2 (d) 0.01 (e) 1/6
d
Which is the nearest to 1? (a) 32 (b) -1/15 (c) -10 (d) 0.036
d
What is the nearest to 0 in 3/2, 2, -1/4, 378, 48, 0?
0
Which is the closest to 1? (a) 7 (b) 4/13 (c) 14419
b
Which is the closest to -2? (a) -3 (b) -3/5 (c) 31/32 (d) 16/7 (e) 0.4
a
What is the nearest to -0.4 in -31, 65897, -6?
-6
Which is the nearest to -257? (a) -0.83 (b) 7.7 (c) -0.5 (d) 4 (e) 0.5 (f) 0.4
a
What is the closest to 6/397 in 2/7, -0.5, -16?
2/7
What is the closest to 1/2 in -148, -13, -5?
-5
Which is the closest to -1/6? (a) 3 (b) 2/13 (c) -1.523 (d) -0.5 (e) -153/5 (f) -2
b
Which is the nearest to 1? (a) -4.9 (b) -2 (c) 0.2 (d) -2717
c
What is the nearest to -1 in -9, 0.4, 4, -1381, -2/3?
-2/3
Which is the closest to -8? (a) -0.1 (b) -0.4 (c) -9 (d) 13/8 (e) 1/10
c
What is the closest to 0.1 in 6363, 0.039, 0.6?
0.039
Which is the closest to 1/282? (a) 1.4 (b) -2/5 (c) 5 (d) -887
b
Which is the closest to -1? (a) 9 (b) -0.9 (c) 25 (d) -3 (e) -0.18
b
Which is the closest to 3/41? (a) 1/3 (b) -1340 (c) 2/11
c
Which is the nearest to 12? (a) -0.05 (b) 0 (c) -1/5 (d) 1 (e) -5
d
Which is the nearest to -27735? (a) 3.3 (b) -1/11 (c) -2 (d) -0.1
c
Which is the closest to 1/2? (a) 0.055142 (b) 317 (c) 1 (d) -2/3
a
Which is the closest to -2/7? (a) 4/25 (b) 0.061494 (c) -10
b
Which is the closest to -4? (a) -9/4 (b) -5545 (c) 0.3 (d) 12
a
Which is the closest to -104/9? (a) 1 (b) 2 (c) -0.194 (d) -5
d
What is the nearest to 0.1 in 0.2, -2028, 3, 1386?
0.2
What is the nearest to 3/10 in -0.26, 0.1, -7, -91.6, 4/5?
0.1
What is the nearest to -288 in -78, 1, -146/3?
-78
What is the closest to -1/2 in 0.4, 1029, -9, 4, 17.5, 2/3?
0.4
What is the closest to 0 in 63, 3, -0.09, -0.05, -1.6?
-0.05
Which is the closest to 0.1? (a) -27008 (b) -2.2 (c) 0.3
c
Which is the closest to -37.5? (a) 0.15 (b) 0.01 (c) 2 (d) -2 (e) 3
d
What is the nearest to 8 in -4, 5, 2171, 2?
5
Which is the nearest to -0.1? (a) -28 (b) -0.15 (c) 4/193 (d) 0.1
b
What is the nearest to 0.1 in -2, -5, -3, 0.3, 950, -0.13?
0.3
Which is the closest to -1? (a) -1 (b) 55 (c) -8/7 (d) -40.37 (e) 3
a
Which is the nearest to -4? (a) -0.751 (b) 8 (c) -0.6
a
What is the nearest to 32 in -2/13, 1/7, 35/6?
35/6
What is the closest to 0 in -0.4, 1/3, -944, 0.3, -9, -1?
0.3
What is the closest to 9/92 in -3/2, 3/8, -145639?
3/8
Which is the closest to 0.99? (a) -1/110 (b) 0.3 (c) 42
b
What is the nearest to 0 in 0.4, 10, 11, -615, -0.01?
-0.01
What is the nearest to -0.6 in -0.3, -0.6, -3/13, -603?
-0.6
What is the closest to 1 in 1/3, 1, 88.2, 117, -1?
1
Which is the nearest to 39? (a) 10 (b) -203 (c) 1/2 (d) -5/16
a
What is the nearest to 4/47 in 107, -39, -2/9?
-2/9
What is the nearest to -2 in 24, -13487, -0.1?
-0.1
What is the nearest to -224 in 9, 2, -38, -1, 1/2?
-38
Which is the closest to 217? (a) 5 (b) 3 (c) 72/11 (d) -9.2
c
Which is the nearest to 1/2? (a) -1 (b) 1 (c) 2/92487
c
Which is the closest to -2? (a) 0.06 (b) -1/6 (c) -9.38 (d) 1 (e) -32
b
What is the closest to 0.1 in 0.13, -5.45, 0.5?
0.13
Which is the nearest to 4? (a) 0.3 (b) -1/408 (c) -0.1 (d) -334.1
a
What is the nearest to 0.1 in -1411, 5/6, 5, 46?
5/6
Which is the nearest to 1? (a) -1/3 (b) -3/79 (c) -1/9 (d) -5 (e) 6 (f) -19
b
Which is the closest to 1/7? (a) 4 (b) -4/11 (c) 8.8 (d) 3/2
b
What is the closest to -1/3 in 0.029, 1279, -33?
0.029
Which is the closest to 20/7? (a) 96/7 (b) -5 (c) -23 (d) -0.05
d
What is the nearest to 1/4 in -0.4, 12, 285, 156/11?
-0.4
Which is the nearest to 2/5? (a) 263 (b) -2 (c) 69 (d) 11/2 (e) -9
b
What is the closest to -37.2 in 20, 2, -11642, -1/3?
-1/3
Which is the nearest to -0.2? (a) 0.059 (b) -1/4 (c) 0.4 (d) -82 (e) 0
b
Which is the nearest to -14/33? (a) 0.2 (b) 3 (c) 0.3 (d) -1 (e) 0 (f) 13/29
e
Which is the closest to 2? (a) -5/8 (b) 1/4 (c) 99
b
Which is the nearest to 0.1? (a) 3/1453 (b) 0.4 (c) 0.527 (d) 1/4
a
Which is the closest to -14/3? (a) 4 (b) 0.0704 (c) -2/7 (d) -6 (e) -10
d
What is the nearest to 1070 in -79, -2/17, 0.2, -2/7?
0.2
Which is the nearest to -1600214/3? (a) 0 (b) -5 (c) -3/5
b
Which is the closest to -1? (a) -0.3 (b) -2 (c) 1/3 (d) 23 (e) -2/1423
a
Which is the nearest to 4.2? (a) 61 (b) -6 (c) 0.1 (d) -3
c
Which is the closest to 0? (a) 1/2 (b) 1/62 (c) -2/9283
c
Which is the closest to 179? (a) 24.2 (b) -4 (c) 2/9 (d) 0.65
a
What is the nearest to -16/321 in 0.2, -4/7, -4?
0.2
Which is the nearest to -5? (a) -1 (b) 0 (c) -2/1021 (d) 2/11 (e) -0.06
a
Which is the closest to -1/3? (a) -9 (b) 1/3 (c) -2 (d) -12 (e) -0.4 (f) 1737
e
Which is the nearest to -2? (a) 44 (b) -1/18 (c) -8 (d) 264 (e) 2/13
b
What is the closest to -1/2 in -5, 8/9, -270/13, 0, -16?
0
Which is the closest to -2/11? (a) 3 (b) -17 (c) -28033 (d) -5/3 (e) -1
e
Which is the closest to -0.1? (a) -608 (b) -8021 (c) -3/7
c
What is the closest to 1 in -2/23, -46550, 5?
-2/23
Which is the closest to -0.4? (a) 18 (b) 2/19 (c) -0.59846 (d) 3
c
What is the closest to -1/3 in 1, -5/6, 2, 127327, 0.07, -1?
0.07
What is the closest to 0 in -1/4, 75320, 0, 5, -0.2?
0
Which is the closest to 0.1? (a) -18 (b) -947 (c) 2 (d) -0.11
d
What is the nearest to -1 in -2/3, -2/7, -200, -1/3, 1/18, 0.1?
-2/3
What is the closest to 0.14 in 0.07, 2/21, 4, 4860?
2/21
Which is the closest to -1.6? (a) -1515 (b) 5 (c) -2/7 (d) 2 (e) -3
c
Which is the nearest to 2? (a) -21.4 (b) 4/59 (c) -0.921 (d) -5
b
Which is the nearest to 0.027? (a) 25 (b) -1/75 (c) 2
b
What is the closest to -1/3 in 3/4, 372, 494, 0.2, -4, 3?
0.2
Which is the closest to -2/7? (a) -3990 (b) -1/2 (c) -4 (d) -3/7 (e) 0.1
d
Which is the closest to 14.106? (a) -10 (b) -1 (c) -6
b
Which is the closest to 56? (a) -1/5 (b) 280 (c) -1/3 (d) 0.04 (e) 19
e
What is the nearest to -0.2 in -1/79, -4/9, 3/2, 0.106?
-1/79
What is the closest to 7 in 2, 5/8, -5, -465, -1/7, -1?
2
Which is the closest to -2.68? (a) 10 (b) 33 (c) 4 (d) -3 (e) 1.09 (f) -0.2
d
Which is the closest to -0.2? (a) -2 (b) -1/15 (c) -5 (d) 4 (e) 4/3 (f) 5.512
b
What is the closest to -1 in -17.3, -6, -2, 6/5, 0.6?
-2
What is the nearest to 0 in 673, 7/8, -5, -69/2, 14?
7/8
What is the closest to -1/2 in -0.1, 0.1, 5/1579?
-0.1
What is the closest to 8/23 in 2/3, -80552, 0.2, -0.1?
0.2
Which is the closest to 3/5? (a) -7 (b) 1 (c) -4/7 (d) -3 (e) -14/79
b
Which is the nearest to 0? (a) -12 (b) -2/11 (c) 14/423 (d) -42
c
Which is the nearest to -2/17? (a) 49 (b) 0 (c) 1458
b
What is the closest to -4 in 1, -91131/7, 2?
1
Which is the closest to 3195? (a) -0.2 (b) 26 (c) 248
c
What is the closest to -0.07 in 0.043, -0.01, 3.4, 5, 57?
-0.01
What is the nearest to 19 in -5, -21, 2/5, -3/200?
2/5
What is the closest to -19042 in 0.5, -0.11, 3.1, -3/4?
-3/4
Which is the nearest to 0? (a) 2.4 (b) -4 (c) 417.8 (d) 3 (e) -2/3
e
What is the nearest to 1/4 in 2/7, -2/39, -0.4, -12461?
2/7
What is the nearest to -1 in -2.58, -2, 1/31, 10?
-2
What is the nearest to -1 in -3, 508, -4/5, -4, -10/9?
-10/9
Which is the closest to 0.35? (a) 540 (b) 60 (c) 2
c
What is the closest to 0.2 in 0.1, -6750, 4, 1/13?
0.1
What is the closest to 3/50 in -3, 231, 0.3, 5, -5?
0.3
Which is the closest to -0.1? (a) -25 (b) 3 (c) 25.564 (d) -4
b
What is the closest to 0 in -6526, 57, -1/4?
-1/4
Which is the closest to -1773? (a) -0.3 (b) -0.7 (c) -5 (d) 4 (e) -1
c
Which is the nearest to 8/17? (a) 1 (b) 2457 (c) 0.1 (d) 1/3
d
Which is the nearest to -1/8? (a) -8908 (b) 2/11 (c) -5.4
b
What is the closest to 113 in -0.7, -7/4,
|
{
"pile_set_name": "DM Mathematics"
}
|
and -18*(27/l - 3).
45
Let i(x) = -3*x - 2. Let j be i(-2). Calculate the common denominator of (-114)/j*6/(-45) and 57/8.
40
Suppose -2*x - 3*d + 14 = 0, 4*x - 11 = -2*d + 1. Let h be -1 + 10/(-2)*x. What is the smallest common multiple of (12/(-7))/(h/63) and 22?
198
Let y(r) = 4*r - 52. What is the lowest common multiple of y(15) and 28?
56
Let d = -13/6 - -3/2. Let g = -2963 - -26603/9. What is the common denominator of g and d?
9
Let m = 6 + -17. Let j = 13 + m. Calculate the lowest common multiple of j and 17.
34
Let i = 19800/17 - 147683/102. Let s = 284 + i. What is the common denominator of 64/3 and s?
6
Suppose y + 4*m - 29 = -0*m, -2*y - 5*m = -43. Suppose 3*j + 2*z = 50, 2*j - 3*z = 46 + 9. Calculate the lowest common multiple of j and y.
180
Let s = -29416777/25 - -2603317099/2175. Let a = s - 20257. Let n = 9/58 - a. Find the common denominator of n and 45/16.
48
Let r = 8649/4 - 2175. Find the common denominator of r and -46/3.
12
Let q(u) = u**2 - 7*u - 7. Let m be q(9). Suppose 0 = -3*g + 32 - m. Let j = 21 - g. Calculate the lowest common multiple of j and 22.
154
Suppose -4 = -2*i - 6. What is the common denominator of -43/14 and 2 + i - (-142)/(-4)?
14
Let k(w) = w**2 + 7*w + 13. Let m(p) = p**2 - p + 6. Let h be m(0). What is the smallest common multiple of 2/h - 2/(-3) and k(-6)?
7
Let d = 5153/1683 - -30/187. What is the common denominator of d and 3/(0 + 1 + 4)?
45
Let n = -6 - -12. Suppose x = 2*a + n, 0*a = 4*x - 4*a - 28. What is the lowest common multiple of x and 7?
56
Let f = -23 + 38. What is the lowest common multiple of (5/f)/(2/42) and 6?
42
Suppose -2*m - 2 = -8. Let c(j) = j**2 - j + 6. What is the least common multiple of c(0) and m?
6
Suppose -2*h + 5*i = 1701 + 1785, -2*h - 3514 = 2*i. Let v = h - -5201/3. Let d = -795 + 3998/5. Find the common denominator of d and v.
15
Let l = 35 + -31. What is the smallest common multiple of 5 and l?
20
Let l = -7 + 9. Suppose -24 + 8 = -l*z. What is the smallest common multiple of z and 22?
88
Let p = 3 + 7. What is the least common multiple of p and 4?
20
Let v(x) = x**3 - x**2 + 3*x + 3. Let p be v(3). Calculate the least common multiple of 9 and p/4*8/6.
90
Let b(n) = -n + 1. Let i(r) = r**2 - 15*r. Let u(k) = 4*b(k) - i(k). Calculate the smallest common multiple of 16 and u(10).
112
Let x = 3677/414 - 65/23. What is the common denominator of x and 53/6?
18
Let l(k) = -k**3 - 19*k**2 + 12. Calculate the lowest common multiple of l(-19) and 6.
12
Let v = -12 - -26. Suppose 0*s + 3*y + 14 = -5*s, 3*s + 12 = -3*y. Calculate the smallest common multiple of s/(-1*4/8) and v.
14
Let l = -1381567/155230 + 2/15523. What is the common denominator of 73/22 and l?
110
Find the common denominator of ((-195)/(-12) - -1)/(-32 - -33) and (-2)/6 + 76/(-6).
4
Suppose -95 + 32 = -7*r. Find the common denominator of r and -38.
1
Let c(x) = -11*x**3 + x. What is the smallest common multiple of 8/(-14) + 910/49 and c(-1)?
90
Suppose -r - 1 = -7. Calculate the smallest common multiple of 10 and r.
30
Let w = 59 - 52. Calculate the smallest common multiple of 5 and w.
35
Suppose 9*q - 11*q = -10. Calculate the least common multiple of 19 and q.
95
Suppose 0 = -3*p + b + 23, -p + 6*b = 3*b + 3. Suppose 11*g - 1 = 10*g. What is the smallest common multiple of g and p?
9
Let b(a) = a**3 + 5*a**2 - 6*a + 8. Let n be (-4)/22 + 442/11. Suppose -6*i = -2*i - n. What is the smallest common multiple of i and b(-6)?
40
Suppose -2 = h - 2*l - 11, 0 = -l - 3. Calculate the lowest common multiple of ((-5)/(-2))/(1/4) and h.
30
Let d = -6 + 6. Find the common denominator of (-18)/4*(-1)/(-12) and d + (-1 - (-154)/40).
40
Let i = -29/5 + 6. Let b(p) = -p**3 - 8*p**2 - 7*p - 5. Let l be b(-7). What is the common denominator of ((-5)/2)/l*61 and i?
10
Let p be (-934)/(-4) - (-1 + 2). Let d = -240 + p. Let v = 72 - 719/10. What is the common denominator of v and d?
10
Suppose 0 = -4*m - 2*y - 3*y + 15, 3*y = -3. Let l = 4 + m. Calculate the smallest common multiple of l and 7.
63
Find the common denominator of (-32)/(-88) + 1 + -1 and (-20)/(-105)*165/(-10).
77
Suppose -5*z + 0*z = 4*d + 22, -4*z + 4*d = -4. Suppose -o = v + 4*o + 10, 9 = -3*o. Let t = z + v. Calculate the lowest common multiple of 7 and t.
21
Let u = 3/2 + 35/6. Calculate the common denominator of 35/8 and u.
24
Let d = 933933/176210 + -2/17621. What is the common denominator of d and -41/2?
10
Let i be -3*(-7)/(7/4). Calculate the common denominator of 298/i - (-1)/(-3) and 89/10.
10
Let v be -929*4*2/4. Let n be 71617/(-28)*8/(-11). Let l = n + v. Calculate the common denominator of -97/2 and l.
22
Let i = 9 + 13. Suppose -5 + 1 = 4*s + 3*b, -5*s + 3*b + 22 = 0. What is the least common multiple of i and s?
22
Let w = -3 - 6. Suppose 81 = -3*f + r + r, 4*f + 4*r + 108 = 0. Find the common denominator of (-290)/w*f/(-144) and -1/20.
120
Let l = -1768935 + 14131781/8. Suppose 2*b + 5749 = -u + 828, 2*u - 4906 = 2*b. Let y = b - l. Calculate the common denominator of y and -71/4.
8
Suppose -4 = -f - 0. Suppose -f*a - 9 = -49. What is the least common multiple of a and 9?
90
Find the common denominator of 318/20 + 0 + -4 and 806/(-144) + (-2)/(-9).
40
Let i(n) = n**2 + n - 42. Let l be i(0). Calculate the common denominator of (-2)/(-1) - 18/16 and 0 + 3 + l/20.
40
Let m = 19 + -10. Suppose 29 = 3*h + 2*o, -h + 2*o + 25 = 2*h. What is the lowest common multiple of (-6)/m + (-14)/(-3) and h?
36
Let k = -893/10 - -87. Calculate the common denominator of 2/1 - (-218)/36 and k.
90
Suppose 0 = 3*p - 4*p + 12. What is the lowest common multiple of p and (30/(-6))/(2/(-4))?
60
Let l = -5047 + 50543/10. Find the common denominator of 41/6 and l.
30
Let w(o) = 2*o**2 + 3*o - 9. What is the least common multiple of 22 and w(3)?
198
Let g be ((-4 + 3)*11)/1. Let u be (15/(-4))/(2/(-8)). Let f = g + u. Calculate the least common multiple of f and 8.
8
Suppose 4*i + 4 = 8. Let j = 13 + -6. What is the least common multiple of i and j?
7
Let k(a) = a**3 - 2*a**2 + 1. Let n be k(1). Suppose 5*z + 5*b - 25 = n, 0*b = -4*z - b + 23. Calculate the least common multiple of 6 and z.
6
Let j be (1/(-2))/(2/12). Let u(k) = -k**3 - 5*k**2 - 2. Let w be u(j). What is the common denominator of 97/(-10) + (-8)/w and 37/6?
30
Let k = 18110/11 - 1643. What is the common denominator of k and 51/8?
88
Let g = -4607 + 92099/20. What is the common denominator of g and -27/22?
220
Let t = 33 + -19. Suppose 2*q + 2*q = -p - t, p - 14 = 3*q. Calculate the least common multiple of 11 and p.
22
Let y be ((-2)/25)/(12/(-3555)). Let c = -28 + y. What is the common denominator of c and (-15 - 0)*164/1025?
10
Suppose -3*i = i - 44. Suppose -3 = -2*w + 5. Calculate the lowest common multiple of i and w.
44
Let s be (-37)/(-7) - (-14)/(-49). Calculate the smallest common multiple of 8 and 7 + -3 + s + 1.
40
Let f be ((-37188)/(-1192))/(0 + -8). Let t = f - -13/149. Find the common denominator of (-4)/24*366/20 and t.
80
Calculate the common denominator of (3766/72)/7 + -4 - 0 and -13/51.
612
Calculate the common denominator of -13/20 and (-2)/6 + (-182)/(-132).
220
Suppose -n = -3*n + 40. Let v be n/(-2)*(-1)/2. Let l(a) = 3*a - 6. Calculate the smallest common multiple of 9 and l(v).
9
Suppose 4*n - 72 = -5*w, -20 - 25 = -3*w - 3*n. Suppose 0 = 8*o - 2*o - w. What is the least common multiple of o and 5?
10
Let f = -17291/2576 - -165/161. Calculate the common denominator of f and -16/5.
80
Suppose -3*z - 2*d = -8, 0 = -4*z - d + 4. What is the least common multiple of 16 and 2/((-4)/(-12) - z)?
48
Let y = -3/1484 + 51213/7420. Find the common denominator of y and -3/31.
310
Let z(g) = 2*g**2 + g - 1. Suppose -5*m = 4*j + 15, -5*j + 2 - 5 = m. Suppose j = -4*v + 35 + 29. What is the smallest common multiple of v and z(3)?
80
Let x = -1331173/57 - -23353. Find the common denominator of x and 17/33.
627
Suppose -5*j - 8 - 100 = r, 3*j + 75 = -4*r. Suppose o = 2*o - 41. Let t = o + j. What is the least common multiple of t and 16?
80
Let v(f) = -f**2 - 11*f - 9. Let a be v(-10). Let d = 2 - a. Let x(y) = -y**2 + 7*y - 5. What is the least common multiple of x(4) and d?
7
Suppose 3*z = 3*u + 240, -4*u + 190 - 18 = 2*z. Calculate the least common multiple of z and 16.
656
Let w =
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2*s + 23 = -2*w. What is the units digit of w?
1
Let o(y) = y + 6. Let w be o(-6). Suppose -5*x + w = -15. Suppose -6 = -r - x. What is the units digit of r?
3
Suppose 3*l + l - 8 = -b, 2*l + b - 2 = 0. Suppose -17 = l*f + 1. Let m(j) = -j - 1. What is the units digit of m(f)?
5
Let q = 489 + -337. What is the tens digit of q?
5
Suppose 0 = 2*i + 3 - 9. Suppose 2*w + 72 - 19 = i*v, -79 = -5*v + w. What is the tens digit of v?
1
Let c be 2 + -1*3 + 2. Let a = -1 + c. Suppose a = -2*q - 2*q + 32. What is the units digit of q?
8
Suppose 0 = 7*r - 2*r - 40. Let t = 3 + r. What is the units digit of t?
1
Let l = 8 + -5. Suppose l = k, 2*w = w + 4*k - 3. What is the units digit of w?
9
Let i = -10 - -139. What is the hundreds digit of i?
1
Let f be 2*(-3)/6 - -6. Suppose 2*z + y = 1 + f, 0 = 5*z - y - 29. Let j = 4 + z. What is the units digit of j?
9
Let x = 21 + -16. What is the units digit of x?
5
Let g(a) = 2*a**2 - 10*a - 5. Let l be g(6). Let r = 1 + l. What is the units digit of r?
8
What is the units digit of 1/((-2)/(-660)*3)?
0
Let k = -15 - -9. Let l be ((-16)/k)/(5/(-15)). Let c = 0 - l. What is the units digit of c?
8
Let m(r) = r**3 - 6*r**2 + r - 2. What is the units digit of m(6)?
4
Let b = -38 - -25. Let a = -7 - b. What is the units digit of a?
6
Let u(f) = -f - 1. Let n be u(0). What is the units digit of 44/(-2*(0 + n))?
2
Suppose -5*u = -5*p - 465, 0*u - 3*p = -u + 93. Suppose -7*w - u = -10*w. What is the units digit of w?
1
Let c(z) = -3*z - 1. Let f be c(-1). Suppose f*r - 17 = -3*j + r, -3*j - 4*r = -32. What is the units digit of j?
4
Suppose y - o = -0 - 2, 3*o = y + 6. What is the units digit of (y/(-3))/2 - -1?
1
Let a(u) = -2*u**2 - 11*u - 7. Let s(l) = -l**2 - 6*l - 4. Let k(t) = 4*a(t) - 7*s(t). What is the units digit of k(-1)?
1
Suppose -12 = 4*r, -4*x - x + 10 = 5*r. Let o = -4 + x. Let w = o + 2. What is the units digit of w?
3
Suppose -g - 7 = d - 1, -5*g + d - 6 = 0. What is the tens digit of (-78)/g*3/9?
1
Suppose 0 = 2*j - 3 - 9. Let c(u) = -1 + 0*u + 0 - u + j*u**2. What is the units digit of c(-1)?
6
Let b = -165 - -403. What is the units digit of b?
8
Let g(y) = 2*y**2 - 6*y. Let i be g(6). Suppose 0 = -4*a + 2*p + 52, -17 = -3*a - 2*p + i. What is the tens digit of a?
1
Suppose -f - 5*n = -40, 233 = 5*f + 3*n + 77. What is the units digit of f?
0
Let m be 0 + -1 + (-1 - -4). Let p(v) = 0 + 3*v**2 - 2*v**2 - 6*v - 2 - 2*v**m. What is the units digit of p(-3)?
7
Let l(g) = -g**3 - g**2 - 3*g + 7. Let x be l(-4). Let n = x + -35. What is the units digit of n?
2
Suppose 22 - 106 = -2*w. Suppose 5*d = 4*g - w, -4*d + d = -3*g + 27. What is the units digit of (-22*3/d)/1?
1
Let y(d) be the third derivative of 4*d**2 - 1/24*d**4 - 1/6*d**3 + 0 + 0*d. What is the units digit of y(-4)?
3
What is the hundreds digit of (2149/(-56)*2)/(2/(-8))?
3
Let b = 11 - 9. Let w(d) = -b + 2*d - 3 + 6. What is the units digit of w(8)?
7
Suppose 3*q - j = -2*j - 3, -2*q + 2*j - 10 = 0. What is the units digit of (-52)/(-14) - q/7?
4
Let o be (135 - -4) + 0/(-2). Let s = o - 99. Suppose 0 = -3*d - d + s. What is the units digit of d?
0
Let n = -10 + 20. Suppose 10 = 4*r - 2*y, 0 = -4*r + y + 25 - n. Suppose 3*b - 17 + r = 0. What is the units digit of b?
4
Let q(l) = -l**2 - 8*l - 6. Let m be q(-6). Let a(i) = -2*i + 2. Let k be a(5). Let w = m - k. What is the tens digit of w?
1
Suppose -2*w + 3*y + 161 = -244, -3*y + 207 = w. What is the units digit of w?
4
Let c(v) = v**3 + v + 2. Let s be c(0). Suppose -3*w - 6 = 6. What is the units digit of (s/w)/(2/(-36))?
9
Suppose -16 = -2*p - 6. Suppose -x = -p*x + 16. What is the units digit of x?
4
Let x(h) = -4*h - 8. Let g = -30 + 20. What is the units digit of x(g)?
2
Let v = -38 - -66. What is the units digit of v?
8
Let v = -97 - -182. What is the tens digit of v?
8
Let y(v) = 50*v**3 + v - 2. What is the units digit of y(1)?
9
Let y be -8*(-3)/24*-6. Let f(a) = -3*a - 3*a + 5*a + 3. What is the units digit of f(y)?
9
Let f be 3*(-3 + (-2 - 2)). What is the units digit of (f/(-28))/(1/20)?
5
Let n(a) = 29*a - 60. What is the hundreds digit of n(9)?
2
Let c(s) = -s**3 - 5*s**2 + 4*s - 7. Suppose 24 = -4*p - 0*p. What is the units digit of c(p)?
5
Let r = 22 + 2. What is the tens digit of r?
2
Let k(r) = r + 3. Let u be k(-5). Let o(d) = d**2 + d. Let x be o(u). Suppose 2*n = 4 + x. What is the units digit of n?
3
Let b = -10 - -4. Let t(y) = -3*y - 3. Let q be t(-2). Let u = q - b. What is the units digit of u?
9
Let c be (4/8)/(2/(-12)). Let v(d) = -d**3 - 2*d**2 + d + 1. Let y be v(c). What is the units digit of (-2)/y - 51/(-7)?
7
Let c(y) = y**3 - 25*y**2 + 29*y + 74. What is the tens digit of c(24)?
9
Suppose 3*o = 2*l + 61, 107 = 5*o - 2*l + 4*l. Let a = o - -7. What is the units digit of a?
8
Let k = 7 + -1. Let f = 9 - k. Suppose 10*v - 4*p = 5*v + 50, -f*v + 2*p = -28. What is the units digit of v?
6
What is the units digit of 10/30*(1 - 1) + 2?
2
Let b = 14 - -6. What is the units digit of ((-48)/b)/(3/(-10))?
8
Suppose s - 28 + 9 = -5*u, -3*u + 8 = 4*s. What is the units digit of u*-1 - (3 - 12)?
5
Let u(b) = -b. What is the units digit of u(-3)?
3
Let m = 0 + 3. Suppose -m*b + 16 = b. What is the units digit of b?
4
What is the tens digit of -2 - (-24 - 8/2)?
2
Let g = -4 - -8. Let k be ((-1)/1)/((-2)/g). Suppose -2*m + m = -k*h + 39, 5*m + 15 = 0. What is the units digit of h?
8
Suppose -4*w - 1 = -5. What is the units digit of (-14 - -17)/(w/5)?
5
Suppose -r - 30 = 4*g - 4*r, -5*g - 5*r = 20. Let h(p) = 1 + 4*p + 5*p + p**2 + p**2. What is the units digit of h(g)?
9
Let h(m) = -m**2 + 12*m + 8. What is the tens digit of h(6)?
4
Let d(t) = 3*t**3 - 3*t**2 - 5*t + 6. What is the units digit of d(4)?
0
Let k = -88 + 251. What is the units digit of k?
3
Let m be (-1)/((1 - 2)/2). Let a(i) = -2*i + 1. Let s be a(m). Let c = -1 - s. What is the units digit of c?
2
Let j = -25 + 10. What is the tens digit of 3/j - (-232)/10?
2
Let w be (1 + 0)*-1*15. Let c = w + 10. Let v(t) = -t + 1. What is the units digit of v(c)?
6
Suppose -4*q - 2*q = 516. Let s = -55 - q. What is the units digit of s?
1
Suppose -2*f - 55 = -147. What is the tens digit of f?
4
Suppose 0 = 7*x + 3 - 234. What is the tens digit of x?
3
Let f(o) = o**2 - 4*o. Let y be f(5). Suppose y*i = -10, -2*i = 4*q - 3*i - 26. What is the units digit of q?
6
Suppose -4*t + 6 + 10 = 0. Suppose -j = -0*j - t. What is the units digit of j?
4
What is the units digit of (-3 - (2 + -2)) + 12?
9
Let j be 6 + -1*(1 + 1). Let d be (1 + 0)/(j/8). Suppose 2*x - 4*i - 14 = 0, -d*i + 5*i = 0. What is the units digit of x?
7
Suppose 0 = 3*n - 9, 2*s + 3*n = -2*s + 465. What is the hundreds digit of s?
1
Suppose -3*c = -5*c + 10. Suppose c*j - 15 = 5*w, 0*w - j - 7 = 4*w. Let n(k) = -k + 1. What is the units digit of n(w)?
3
What is the tens digit of (-12)/(-12) + (-38)/(-1)?
3
What is the tens digit of (0 + 20/(-6))*(-23 + 8)?
5
Let s(f) be the second derivative of f**3/3 - 5*f**2/2 - 2*f. Let d be s(-5). What is the units digit of (-6 - d) + 2*-1?
7
Suppose -2*s + 88 = 4. What is the units digit of s?
2
Let d(p) = -2*p**2 + 3*p - 6. Let n be d(4). Let m = n - -17. What is the units digit of (-2 - m) + (1 - 3)?
5
Let t = -447 + 643. What is the hundreds digit of t?
1
Suppose -4*i - 5*q = -13 - 24, -3*i - 2*q + 33 = 0. Suppose 4*n = 19 + i. What is the units digit of n?
8
Suppose 2*w - 7 = 1. Suppose -2*v - 2*m - 4 + 54 = 0, 5*m = -w*v + 97. Suppose -3*n + v = 1. What is the units digit of n?
9
Suppose 2*n + 54 = 4. Let p = 45 + n. What is the tens digit of p?
2
Suppose -u - 5*n = 10, -u + 0*n - 7 = 4*n. Suppose -11 + 151 = u*d. What is the tens digit of d?
2
Suppose j + 2*j + 6 = 0. What is the units digit of (5/(-10))/(j/4)?
1
Suppose -2*w = -w - 1. Let o(u) = w + 5*u + 1 - 5. What is the units digit of o(3)?
2
Suppose 3*o = 5*g + 106, 4*g - 2 = 5*g. What is the tens digit of o?
3
Suppose 0 = 5*h - 63 + 18. Let v = -7 + h. What is the units digit of v?
2
Suppose 15 = -g - 4*g. Let c be -3 + 2 + 0 + -1. What is the units digit of ((-5)/c)/(g/(-6))?
5
Let a(n) = 4*n - 4*n**2 + 4*n**2 + 6*n**2 - 1 + n**3. What is the units digit of a(-5)?
4
Let j be (24/(-9) + 1)*-12. Suppose 7*m = 2*m + j. Suppose -2*c + 4*c - m = 0. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
Solve 30*k = 5*k + 100 for k.
4
Solve -3*n = 5*n + 2*n for n.
0
Solve 25*p = 21*p for p.
0
Solve 17*n + 7 = -27 for n.
-2
Solve -13*q + 5 - 31 = 0 for q.
-2
Solve -5 + 20 = -3*n for n.
-5
Solve 34 + 81 = 23*s for s.
5
Solve 19*o + 28 = 142 for o.
6
Solve 170 + 30 = 50*r for r.
4
Solve 18*s = 17*s - 4 for s.
-4
Solve 0 = -0*h - 2*h + 10 for h.
5
Solve -24*c = 9*c + 132 for c.
-4
Solve -26*r = 295 - 321 for r.
1
Solve 0 = 3*y - 6*y - 12 for y.
-4
Solve 2*g + 167 = 179 for g.
6
Solve -19*k = -23*k + 28 for k.
7
Solve -7*o + 45 = -22*o for o.
-3
Solve -4830*u = -4823*u + 63 for u.
-9
Solve 192*t - 187*t = -25 for t.
-5
Solve 0 = 12*i + 5*i for i.
0
Solve 0 = -w - 2 + 5 for w.
3
Solve -5*d + 81 = 56 for d.
5
Solve -5 = -2*u - 3*u for u.
1
Solve -19*y = -28*y - 54 for y.
-6
Solve 8 = 3*c + 2 for c.
2
Solve 60*s = 40*s for s.
0
Solve -10*b = 4*b - 56 for b.
4
Solve -15 = 3*k - 3 for k.
-4
Solve 14*n = 9*n - 8*n for n.
0
Solve -7 + 3 = -2*m for m.
2
Solve -22 = 10*h + h for h.
-2
Solve 0 = -3*j + 8*j for j.
0
Solve 0 = -0*p - 21*p + 63 for p.
3
Solve 10*g + 36 = -4 for g.
-4
Solve 15*l - 10*l = 10 for l.
2
Solve -115*t + 95 = -96*t for t.
5
Solve 78 = -2*o + 84 for o.
3
Solve 0 = 4*x - 0*x - 42*x for x.
0
Solve 9*h + 2*h = -4*h for h.
0
Solve 0 = -1337*d + 1331*d + 12 for d.
2
Solve -14 = 4*d + 3*d for d.
-2
Solve -15 - 117 = -33*u for u.
4
Solve 28*u - 112 = -0*u for u.
4
Solve -8*g + 6 = -2 for g.
1
Solve 0 = -22*v + 27*v + 25 for v.
-5
Solve -7*a - 36 = 6 for a.
-6
Solve -316*o = -283*o - 132 for o.
4
Solve 2*q - 12*q = -20 for q.
2
Solve -21*w - 124 - 23 = 0 for w.
-7
Solve 24 = -16*m + 10*m for m.
-4
Solve 86*r + 287 = -143 for r.
-5
Solve -294 + 303 = 3*x for x.
3
Solve -54*n + 102 - 480 = 0 for n.
-7
Solve -8*i - 10 = -18 for i.
1
Solve -d + 64 - 68 = 0 for d.
-4
Solve 136 = 17*z + 17*z for z.
4
Solve 32*h - 105 = 47*h for h.
-7
Solve -9*c + 60 = 33 for c.
3
Solve -7*v = -17*v + 70 for v.
7
Solve 12 = 143*n - 146*n for n.
-4
Solve -635*x + 639*x - 4 = 0 for x.
1
Solve -77*h + 325 - 94 = 0 for h.
3
Solve 0 = -6*j + 10*j + 20 for j.
-5
Solve 68*w = 42*w - 26 for w.
-1
Solve -10*c + 19 = -11 for c.
3
Solve 0 = -8*x - 10 - 30 for x.
-5
Solve -97*n = -109*n + 48 for n.
4
Solve 5*g = -9 - 16 for g.
-5
Solve 17*b + 24 = 13*b for b.
-6
Solve -5*s + 9*s = -8*s for s.
0
Solve -131 = 3*h - 134 for h.
1
Solve 7*n = 24 - 17 for n.
1
Solve 6 = -3*z - 3 for z.
-3
Solve 30*t = t - 29 for t.
-1
Solve 4 + 0 = 2*j for j.
2
Solve -2*h - 278 = -276 for h.
-1
Solve -8 = 6*p + 22 for p.
-5
Solve -7*k + 36 = 11*k for k.
2
Solve 9*x - 8 - 1 = 0 for x.
1
Solve 10*o - 15*o = -10 for o.
2
Solve 165*g - 4 = 169*g for g.
-1
Solve -12 + 22 = 5*c for c.
2
Solve 722*a - 772*a = 550 for a.
-11
Solve -231*m + 232*m - 11 = 0 for m.
11
Solve u + 34 - 32 = 0 for u.
-2
Solve 0 = -5*k + 449 - 484 for k.
-7
Solve 0 = 4*t - 10*t for t.
0
Solve 91*h = -146 - 127 for h.
-3
Solve -163*h = -142*h - 168 for h.
8
Solve -152 + 128 = -4*j for j.
6
Solve 35 = 352*f - 347*f for f.
7
Solve 150 - 168 = -6*x for x.
3
Solve 0 = -50*z + 45*z - 5 for z.
-1
Solve 14*g - 17*g = -18 for g.
6
Solve 54 = 27*z - 0 for z.
2
Solve -42*y = -36*y - 24 for y.
4
Solve -25 = -57*n + 146 for n.
3
Solve -18*h + 91 - 73 = 0 for h.
1
Solve -9*a = 564 - 501 for a.
-7
Solve -102*q + 98*q = 20 for q.
-5
Solve 629*a + 42 = 635*a for a.
7
Solve -1068*v + 4 = -1066*v for v.
2
Solve -12*g + 13*g = 4 for g.
4
Solve -o - 93 = -98 for o.
5
Solve 8*m + 10 = -2*m for m.
-1
Solve 24*d - 5 = 19 for d.
1
Solve 15*l - 14 = 46 for l.
4
Solve 123 = -6*w + 159 for w.
6
Solve -369 + 369 = 31*u for u.
0
Solve -27 = 45*r + 198 for r.
-5
Solve -15*d - 3 = -16*d for d.
3
Solve 0 = g + 281 - 287 for g.
6
Solve -49*l + 55 = 6 for l.
1
Solve -79 = -21*k + 5 for k.
4
Solve -45*u + 57*u = 0 for u.
0
Solve -u = 158 - 162 for u.
4
Solve -2*i = 30 - 32 for i.
1
Solve 4*m + 1 - 13 = 0 for m.
3
Solve 0 = -99*f + 113*f + 28 for f.
-2
Solve -23*d - 56 = 36 for d.
-4
Solve 8*z - 13 = 21*z for z.
-1
Solve -36*x - 125 = -11*x for x.
-5
Solve -8 = -2*d - 2 for d.
3
Solve -9*b - 7 - 11 = 0 for b.
-2
Solve -32*y = 37*y - 68*y for y.
0
Solve -32*v + 4 = -36*v for v.
-1
Solve 10*b + 41 = 1 for b.
-4
Solve 445 = -6*j + 475 for j.
5
Solve 50*r = 46*r + 16 for r.
4
Solve -10*c + 11 = -79 for c.
9
Solve 0 = -7*f + 6*f - 2 for f.
-2
Solve -h - 3*h = 0 for h.
0
Solve -39*u = -26*u + 91 for u.
-7
Solve -29 = 28*x - 1 for x.
-1
Solve 17 - 15 = h for h.
2
Solve 33*g + 10 = 31*g for g.
-5
Solve -27*a = -43*a - 80 for a.
-5
Solve -377*j - 10 = -379*j for j.
5
Solve 0 = -2*k + 7*k - 15 for k.
3
Solve 2*n + 3 = -n for n.
-1
Solve 738*r = 737*r - 3 for r.
-3
Solve 0 = -29*m - 182 + 66 for m.
-4
Solve 2*g + 19 = 21 for g.
1
Solve 6*w + 1 = 37 for w.
6
Solve -77 = -96*p + 107*p for p.
-7
Solve -17*c = -16*c for c.
0
Solve 1029*t - 8 = 1025*t for t.
2
Solve -p + 448 = 438 for p.
10
Solve u + 103 - 100 = 0 for u.
-3
Solve -56*t + 28*t - 168 = 0 for t.
-6
Solve -703 = -9*d - 649 for d.
6
Solve 15 = 42*x - 47*x for x.
-3
Solve 0 = 23*s + 16 + 76 for s.
-4
Solve 2*o + 63 = 65 for o.
1
Solve 4*a = -147 + 143 for a.
-1
Solve -26*v = -22*v - 28 for v.
7
Solve -29*m + 44*m = 15 for m.
1
Solve -2*o = -13*o - 44 for o.
-4
Solve 188 = -4*m + 196 for m.
2
Solve -7*k = 13 + 8 for k.
-3
Solve -16*j = -8*j - 24 for j.
3
Solve 3*p = -6 - 3 for p.
-3
Solve 5*l = -0*l + 5 for l.
1
Solve 2 - 12 = -10*l for l.
1
Solve 61*f = 28*f - 165 for f.
-5
Solve -8 = 12*x - 80 for x.
6
Solve 5 = -2*s - 5 for s.
-5
Solve -23*r + 115 = -0*r for r.
5
Solve 337*v + 12 = 331*v for v.
-2
Solve -6 - 14 = 4*a for a.
-5
Solve -1167*x + 1158*x + 54 = 0 for x.
6
Solve 0 = -9*h - 13*h + 88 for h.
4
Solve 18*v - 33*v = 30 for v.
-2
Solve 0 = -21*t - 44 + 23 for t.
-1
Solve -814 = -z - 806 for z.
8
Solve 6 + 15 = -21*c for c.
-1
Solve -2 = h + 3 for h.
-5
Solve -3*r - 12 = -6*r for r.
4
Solve -7*y + 1 = -41 for y.
6
Solve 5034*m - 72 = 5046*m for m.
-6
Solve 50 = -57*q - 64 for q.
-2
Solve 311*n = 317*n for n.
0
Solve 9*h + 233 = 269 for h.
4
Solve -v = 17 - 14 for v.
-3
Solve 26*a - 33*a + 21 = 0 for a.
3
Solve 31*t - 25 = 68 for t.
3
Solve -12*t - 55 + 19 = 0 for t.
-3
Solve -11*n + 1755 - 1821 = 0 for n.
-6
Solve 1239 = 11*u + 1195 for u.
4
Solve -547 + 571 = -8*y for y.
-3
Solve 196*a + 48 = 204*a for a.
6
Solve 414*z - 15 = 399*z for z.
1
Solve -3*t = -23*t - 40 for t.
-2
Solve 50 - 46 = 4*g for g.
1
Solve -5 = 19*g + 33 for g.
-2
Solve 18 = -1088*f + 1082*f for f.
-3
Solve 0 = 334*z - 332*z - 14 for z.
7
Solve -12 = g + 3*g for g.
-3
Solve -33*v = -44*v + 11 for v.
1
Solve -4*r + 4 = -8 for r.
3
Solve 16*i - 64 = 48 for i.
7
Solve 8 = -4*b - 4 for b.
-3
Solve 7 = 3178*c - 3171*c for c.
1
Solve -55*x = 10 - 175 for x.
3
Solve -27*d + 47 + 169 = 0 for d.
8
Solve 17*d - d = 64 for d.
4
Solve 7*p + 3 = 38 for p.
5
Solve 8 = -9*c + 5*c for c.
-2
Solve 0 = 11*k - 5*k for k.
0
Solve -y - 132 = 21*y for y.
-6
Solve -21*w + 234 - 108 = 0 for w.
6
Solve -393*u = -408*u - 120 for u.
-8
Solve 7 = -11*w + 29 for w.
2
Solve -245 = 3*x - 254 for x.
3
Solve -481 = -18*c - 301 for c.
10
Solve 12*t - 49 + 85 = 0 for t.
-3
Solve -3*w - 40 = -25 for w.
-5
Solve -10*m = -16*m + 6 for m.
1
Solve 19 = 28*s + 19 for s.
0
Solve 14*v - 5*v - 27 = 0 for v.
3
Solve 85*o + 80 = 125*o for o.
2
Solve 0 = -12*f + 26 - 2 for f.
2
Solve 31*j - 147 = 39 for j.
6
Solve -39*g = -0*g - 156 for g.
4
Solve -22*v + 21*v = 2 for v.
-2
Solve 4*h = 12*h for h.
0
Solve -41*r - 365 + 37 = 0 for r.
-8
Solve -56 = 87*h - 73*h for h.
-4
Solve -11*q = -2*q + 72 for q.
-8
Solve 4*b + 2016 = 2020 for b.
1
Solve -r = -13*r + 84 for r.
7
Solve 2126*c - 2125*c + 3 = 0 for c.
-3
Solve 18*n + 32 + 4 = 0 for n.
-2
Solve -42*c - 139 = -97 for c.
-1
Solve 14*k - 13*k - 4 = 0 for k.
4
Solve 469 = 74*w - 49 for w.
7
Solve 10*l = 35 + 25 for l.
6
Solve -s + 0 - 5 = 0 for s.
-5
Solve 4*y + 4 = 3*y for y.
-4
Solve -i = -6*i + 10 for i.
2
Solve -355*m = -357*m + 2 for m.
1
Solve -19*a + 46 = 122 for a.
-4
Solve -10 = 6*t - 4*t for t.
-5
Solve 0 = -4*o - 112 + 88 for o.
-6
Solve -34 = 7*j + 1 for j.
-5
Solve 0 = -4*c + 3 + 9 for c.
3
Solve -46*s = -37*s + 45 for s.
-5
Solve 146*z + 1 = 145*z for z.
-1
Solve 0 + 16 = -4*z for z.
-4
Solve -7*o + 30 = -o for o.
5
Solve 38*z = 21*
|
{
"pile_set_name": "DM Mathematics"
}
|
**3/7 + 781*d**2/7 + 600*d/7 - 172/7.
(d + 1)*(d + 86)*(9*d - 2)/7
Find q such that 2*q**5 - 8*q**4 - 282*q**3 - 1456*q**2 - 2720*q - 1536 = 0.
-4, -3, -1, 16
Find b such that -100*b**2 - 180*b - 81 = 0.
-9/10
Find w such that -4*w**2/5 - 348*w + 3496/5 = 0.
-437, 2
Solve -72*y**4 + 168*y**3 - 26*y**2 - 168*y + 98 = 0.
-1, 1, 7/6
What is c in 3*c**5/2 - 21*c**4/2 - 15*c**3/2 + 225*c**2/2 = 0?
-3, 0, 5
Let -44*f**4 + 1020*f**3 - 5464*f**2 - 5376*f + 1152 = 0. Calculate f.
-1, 2/11, 12
Solve -5*s**3/2 + 605*s**2/2 - 3025*s = 0.
0, 11, 110
Factor -394*m**2 + 3936*m + 40.
-2*(m - 10)*(197*m + 2)
Factor 4*t**3/5 - 4*t**2/5 - 8*t/5.
4*t*(t - 2)*(t + 1)/5
Factor 4*o**3 + 80*o**2 - 300*o - 9000.
4*(o - 10)*(o + 15)**2
Determine v so that -47*v**2/2 - 46*v + 2 = 0.
-2, 2/47
Let 4*a**2/5 + 1774*a/5 - 888/5 = 0. Calculate a.
-444, 1/2
What is t in -3*t**5 + 3*t**4/2 + 9*t**3 + 3*t**2/2 - 3*t = 0?
-1, 0, 1/2, 2
Solve -s**5 - 40*s**4 - 393*s**3 + 274*s**2 + 2560*s - 2400 = 0 for s.
-20, -3, 1, 2
Factor -m**3 - 281*m**2 + 565*m - 283.
-(m - 1)**2*(m + 283)
Find h, given that h**2/2 + 45*h/2 = 0.
-45, 0
Solve 3*x**3/4 - 9*x**2 - 21*x = 0.
-2, 0, 14
Factor 5*q**4 + 305*q**3 + 5290*q**2 + 17920*q - 23520.
5*(q - 1)*(q + 6)*(q + 28)**2
Factor -g**3/5 - 59*g**2/5 + 121*g/5 - 61/5.
-(g - 1)**2*(g + 61)/5
Factor x**5/7 + 6*x**4 + 480*x**3/7 + 1198*x**2/7 + 1119*x/7 + 360/7.
(x + 1)**3*(x + 15)*(x + 24)/7
Factor 18*b**4 + 3*b**3 - 21*b**2.
3*b**2*(b - 1)*(6*b + 7)
Solve 9*z**3/5 - 39*z**2/5 - 9*z/5 + 39/5 = 0 for z.
-1, 1, 13/3
Solve -3*z**4 - 108*z**3 - 207*z**2 - 102*z = 0 for z.
-34, -1, 0
Determine s so that -s**5/2 - 3*s**4 - 5*s**3/2 = 0.
-5, -1, 0
Suppose -3*c**4 - 45*c**3 - 39*c**2 + 45*c + 42 = 0. Calculate c.
-14, -1, 1
Factor 4*w**2 + 48*w - 880.
4*(w - 10)*(w + 22)
Suppose z**2/2 + 4242*z + 8997282 = 0. Calculate z.
-4242
Factor 2*r**2/13 + 56*r + 5096.
2*(r + 182)**2/13
Factor -f**5/3 - 419*f**4/3 - 418*f**3/3.
-f**3*(f + 1)*(f + 418)/3
Solve -w**5 - w**4 + 7*w**3 + w**2 - 6*w = 0.
-3, -1, 0, 1, 2
Factor -2*z**4/11 + 128*z**3/11 - 208*z**2 + 7680*z/11 - 7200/11.
-2*(z - 30)**2*(z - 2)**2/11
Factor -2*d**2/3 + 10*d - 112/3.
-2*(d - 8)*(d - 7)/3
Solve -2*n**4 - 214*n**3/9 + 98*n**2/3 + 146*n/3 - 52/9 = 0 for n.
-13, -1, 1/9, 2
Factor f**4 - 31*f**3 + 50*f**2 + 232*f.
f*(f - 29)*(f - 4)*(f + 2)
Factor l**2 - 184*l - 185.
(l - 185)*(l + 1)
What is z in -3*z**2/4 + 3*z/4 + 15 = 0?
-4, 5
Determine d, given that 2*d**4/7 + 6*d**3/7 - 8*d**2/7 = 0.
-4, 0, 1
Find k such that 2*k**2 - 880*k - 882 = 0.
-1, 441
Solve 2*d**2 + 2420*d + 2418 = 0.
-1209, -1
Factor 2*d**5/7 + 12*d**4/7 - 30*d**3/7 - 200*d**2/7.
2*d**2*(d - 4)*(d + 5)**2/7
Solve 20*n**5 + 175*n**4 + 255*n**3 + 65*n**2 - 35*n = 0.
-7, -1, 0, 1/4
Suppose -k**5/7 - 52*k**4/7 + 162*k**3/7 - 164*k**2/7 + 55*k/7 = 0. Calculate k.
-55, 0, 1
Factor -10*v**4 - 496*v**3 + 200*v**2.
-2*v**2*(v + 50)*(5*v - 2)
Factor -4235*p**3/6 + 825*p**2/2 - 20*p - 40/3.
-5*(7*p + 1)*(11*p - 4)**2/6
Factor -5*m**5 + 25*m**4 - 40*m**3 + 20*m**2.
-5*m**2*(m - 2)**2*(m - 1)
Suppose -3*k**5/2 - 9*k**4 - 12*k**3 + 3*k**2 + 27*k/2 + 6 = 0. What is k?
-4, -1, 1
Factor -2*w**3 + 12*w**2 - 18*w + 8.
-2*(w - 4)*(w - 1)**2
Factor w**2/5 + 61*w.
w*(w + 305)/5
Factor 2*z**5/3 + 202*z**4/3 - 206*z**3 + 622*z**2/3 - 208*z/3.
2*z*(z - 1)**3*(z + 104)/3
Find l, given that -3*l**5/2 + 27*l**4/8 + 21*l**3/4 - 9*l**2/2 - 15*l/4 + 9/8 = 0.
-1, 1/4, 1, 3
Solve 3*n**3 - 2151*n**2 + 514089*n - 40955757 = 0 for n.
239
Suppose -m**5 + 7*m**3 + 6*m**2 = 0. Calculate m.
-2, -1, 0, 3
Suppose 5*y**4 + 55*y**3 + 175*y**2 + 125*y = 0. What is y?
-5, -1, 0
Determine i so that 4*i**3 + 780*i**2 - 784*i = 0.
-196, 0, 1
Factor -4*c**3 + 24*c**2 + 96*c - 256.
-4*(c - 8)*(c - 2)*(c + 4)
Suppose 14*n**3 - 10*n**2 - 4*n = 0. Calculate n.
-2/7, 0, 1
Suppose -8*l**5 - 146*l**4 - 676*l**3 - 16*l**2 + 684*l + 162 = 0. Calculate l.
-9, -1, -1/4, 1
Factor p**3/6 + p**2 + 11*p/6 + 1.
(p + 1)*(p + 2)*(p + 3)/6
Suppose d**3/5 + 81*d**2 + 404*d/5 = 0. Calculate d.
-404, -1, 0
Solve -2*c**2/5 + 344*c - 73960 = 0.
430
Determine m, given that 2*m**2 - 32*m + 30 = 0.
1, 15
Factor -180*q**3 + 13740*q**2 - 4565*q + 380.
-5*(q - 76)*(6*q - 1)**2
Factor -z**4 + 7*z**2 + 6*z.
-z*(z - 3)*(z + 1)*(z + 2)
Factor -4*a**3 + 172*a**2 - 1760*a - 1936.
-4*(a - 22)**2*(a + 1)
Find g such that -g**3 - 5*g**2 - 7*g - 3 = 0.
-3, -1
Factor -3*s**3/7 - 6*s**2/7 + 384*s/7 + 1440/7.
-3*(s - 12)*(s + 4)*(s + 10)/7
What is x in -2*x**2 + 10*x - 12 = 0?
2, 3
Factor f**2/4 - 25*f/4 + 33/2.
(f - 22)*(f - 3)/4
Factor s**3 - 11*s**2 - 2*s + 120.
(s - 10)*(s - 4)*(s + 3)
Solve -2*d**3/9 + 2*d/3 - 4/9 = 0 for d.
-2, 1
Factor -2*t**3 - 28*t**2 - 86*t - 60.
-2*(t + 1)*(t + 3)*(t + 10)
Let 8*v**4/15 - 1262*v**3/3 + 552826*v**2/5 - 145116562*v/15 - 36382894/15 = 0. What is v?
-1/4, 263
Let 35*a**5 + 1830*a**4 + 520*a**3 = 0. Calculate a.
-52, -2/7, 0
What is k in 2*k**2/9 + 76*k + 1360/9 = 0?
-340, -2
Solve -37*t**5 - 113*t**4 - 117*t**3 - 43*t**2 - 2*t = 0.
-1, -2/37, 0
What is l in -5*l**4 - 25*l**3 - 15*l**2 + 45*l = 0?
-3, 0, 1
Determine t, given that 2*t**4/9 - 4*t**3/3 + 26*t**2/9 - 8*t/3 + 8/9 = 0.
1, 2
Solve n**5/5 + n**4/5 - 9*n**3/5 - n**2 + 16*n/5 + 12/5 = 0.
-3, -1, 2
Factor 2*p**3 + 12*p**2 - 8*p - 48.
2*(p - 2)*(p + 2)*(p + 6)
Let -r**3/4 - 865*r**2/4 - 47300*r - 231125 = 0. Calculate r.
-430, -5
Solve r**5/9 + 4*r**4/9 - r**3/3 - 14*r**2/9 - 8*r/9 = 0.
-4, -1, 0, 2
Factor -3*g**4 + 36*g**2 - 48*g.
-3*g*(g - 2)**2*(g + 4)
Suppose x**2/7 + 8686*x/7 + 18861649/7 = 0. What is x?
-4343
Factor l**2/9 - 2*l/3.
l*(l - 6)/9
Solve -3*s**3 + 15*s**2 - 24*s + 12 = 0.
1, 2
Find m such that -4*m**2 + 308*m - 304 = 0.
1, 76
What is m in -20*m**3 + 238*m**2 + 24*m = 0?
-1/10, 0, 12
Factor 3*v**4 + 7542*v**3 + 4740147*v**2.
3*v**2*(v + 1257)**2
What is j in -j**3 - 7*j**2 - 6*j = 0?
-6, -1, 0
What is q in -2*q**4 - 730*q**3/3 - 1196*q**2/3 + 160*q = 0?
-120, -2, 0, 1/3
Let 5*a**2 - 2395*a - 2400 = 0. What is a?
-1, 480
Factor w**5 + 14*w**4 + 73*w**3 + 168*w**2 + 144*w.
w*(w + 3)**2*(w + 4)**2
Factor 45*l**3 - 1635*l**2 + 2120*l - 700.
5*(l - 35)*(3*l - 2)**2
Let -a**5/5 - 2*a**4/5 + 14*a**3/5 - 8*a**2/5 - 13*a/5 + 2 = 0. Calculate a.
-5, -1, 1, 2
Determine h, given that -h**5/10 - 9*h**4/10 = 0.
-9, 0
Find v, given that -2*v**4/9 + 2*v**3/3 + 116*v**2/9 - 104*v/3 - 112 = 0.
-7, -2, 6
Factor 3*b**2 + 7890*b + 5187675.
3*(b + 1315)**2
Solve 5*g**3 + 630*g**2 - 1275*g + 640 = 0 for g.
-128, 1
Solve 3*l**5/2 + 13*l**4 + 53*l**3/3 - 17*l/2 - 7/3 = 0.
-7, -1, -1/3, 2/3
Let f**5 + 7*f**4 - 4*f**3 - 112*f**2 - 192*f = 0. Calculate f.
-4, -3, 0, 4
Factor -9*b**5/7 + 24*b**4/7 - 3*b**3 + 6*b**2/7.
-3*b**2*(b - 1)**2*(3*b - 2)/7
Let -4*i**5 - 30*i**4 - 46*i**3 + 48*i**2 + 32*i = 0. What is i?
-4, -1/2, 0, 1
Solve 5*a**3/4 - 25*a**2/2 + 30*a = 0 for a.
0, 4, 6
Factor -m**5/2 + 17*m**4 - 345*m**3/2 + 450*m**2.
-m**2*(m - 15)**2*(m - 4)/2
Factor 169*s**2/6 - 26*s + 6.
(13*s - 6)**2/6
Factor -5*d**3 + 190*d**2 + 225*d - 1170.
-5*(d - 39)*(d - 2)*(d + 3)
Let j**4 - 52*j**3 - 223*j**2 - 62*j + 336 = 0. What is j?
-3, -2, 1, 56
Find q, given that 2*q**5 - 4*q**4/5 - 6*q**3 - 8*q**2/5 + 8*q/5 = 0.
-1, 0, 2/5, 2
Suppose -g**2/3 - 43*g/3 - 14 = 0. What is g?
-42, -1
Let l**3 - 42*l**2 - 49*l + 258 = 0. Calculate l.
-3, 2, 43
Factor -3*c**4/2 + 6*c**3 - 24*c + 24.
-3*(c - 2)**3*(c + 2)/2
Let k**2/5 + 6*k + 45 = 0. What is k?
-15
Suppose p**5/4 - 3*p**4/4 + 3*p**3/4 - p**2/4 = 0. Calculate p.
0, 1
Let 5*i**2 - 15480*i + 11981520 = 0. What is i?
1548
Factor -2*s**2/7 - 104*s/7 - 1352/7.
-2*(s + 26)**2/7
Factor 5*p**4 - 160*p**3 - 15*p**2 + 470*p + 320.
5*(p - 32)*(p - 2)*(p + 1)**2
Determine y, given that -y**4/2 - 20*y**3 - 179*y**2 + 420*y - 441/2 = 0.
-21, 1
Factor -3*a**5 + 111*a**4 - 408*a**3 + 396*a**2.
-3*a**2*(a - 33)*(a - 2)**2
Factor 6*g**3/11 + 94*g**2/11 + 32*g - 128/11.
2*(g + 8)**2*(3*g - 1)/11
Solve 8*f**5 - 8*f**4 - 54*f**3 + 4*f**2 + 38*f + 12 = 0.
-2, -1/2, 1, 3
Factor -196*r**5 + 3808*r**4 + 2224*r**3 + 320*r**2.
-4*r**2*(r - 20)*(7*r + 2)**2
Determine q so that -3*q**3/2 + 213*q**2/2 + 1359*q/2 + 2079/2 = 0.
-3, 77
Factor 29*d**2/4 - 25*d/4 - 1.
(d - 1)*(29*d + 4)/4
Factor 5*s**5 - 25*s**4 + 40*s**3 - 20*s**2.
5*s
|
{
"pile_set_name": "DM Mathematics"
}
|
be the second derivative of -71*r**4/12 - 2*r**3/3 + 915*r**2/2 - r + 11. What is the first derivative of q(w) wrt w?
-142*w - 4
Let w be (-1)/(-5) - 384/(-30). Suppose -w + 1 = -4*o. What is the derivative of -11*m**o + 8 - 25 + 7 wrt m?
-33*m**2
Suppose 0 = 3*k - 8 - 1. Let h be (-8)/28 + 4932/14. What is the first derivative of -h*u + 3*u**k - 9 + 352*u wrt u?
9*u**2
Suppose 0 = -2*w + 4*y + 20, 2*w + 4*y + 0*y + 12 = 0. What is the third derivative of -36 + 7*p**w + 36 + 11*p**3 wrt p?
66
Let q(s) be the first derivative of s**4/4 - 13*s**3/3 + 12*s**2 - s - 333. What is the second derivative of q(g) wrt g?
6*g - 26
Let v = 4759/6 + -793. Let x(u) be the third derivative of -2*u**2 - v*u**3 + 0 + 1/8*u**4 + 0*u. What is the first derivative of x(o) wrt o?
3
Suppose 18 = 11*z - 4. Differentiate 10*j**2 + 37 - 41*j**2 + 14 - 16*j**z wrt j.
-94*j
Let d(p) be the first derivative of 137*p**5/5 - p**3/3 + 154*p - 530. What is the derivative of d(n) wrt n?
548*n**3 - 2*n
Let g = 8/45 + -1/9. Let r(u) be the second derivative of 0 - 7*u + 0*u**5 - g*u**6 + 0*u**3 - 1/3*u**4 + 0*u**2. Find the third derivative of r(w) wrt w.
-48*w
What is the second derivative of -308*p**2 + 318 + 264 + 4*p + 0*p - 515 wrt p?
-616
What is the derivative of 67*b**2 - 89 + b**2 - 19*b**2 + 60*b**2 wrt b?
218*b
Find the third derivative of -231*z**2 + 18 - 8 - 808*z**4 - 220*z**2 - 10 wrt z.
-19392*z
Suppose -10*m + 51 = 11. Let n be -1*(0 - (1 - -2)). Differentiate -4*l**n + m*l**3 + 2 + l**3 with respect to l.
3*l**2
Find the second derivative of -109*i**5 - 3 + 26*i**5 - i + 69*i + 34*i wrt i.
-1660*i**3
Let l(s) be the first derivative of 37/3*s**3 + 0*s**2 + 2 + 5/2*s**4 + 0*s. What is the third derivative of l(c) wrt c?
60
Let r(o) be the third derivative of 31/336*o**8 - 20*o**2 + 0*o**5 + 0*o - o**4 + 0*o**7 + 0*o**6 + 0 + 0*o**3. Find the second derivative of r(l) wrt l.
620*l**3
Suppose 4*u = 4*r - 20, -3*r + 66 = -5*u + 49. Let q(l) be the second derivative of 0 + 1/4*l**r + 0*l**3 - l - l**2. What is the derivative of q(k) wrt k?
6*k
Let k(d) be the second derivative of -1/15*d**6 - d + 4/3*d**3 + 0*d**2 + 0*d**4 + 0*d**5 + 0. Find the second derivative of k(i) wrt i.
-24*i**2
What is the first derivative of 79 - 5*t**2 + 58*t + 63*t - 124*t wrt t?
-10*t - 3
Let q = 6 - 5. Let a(f) = f**3 - 2*f**4 + f**4 + 3*f - 4*f. Let g(u) = 4*u**4 + u**3 - u - 1. Let x(m) = q*a(m) - g(m). What is the derivative of x(r) wrt r?
-20*r**3
Let k(d) = -167*d**2 - 203*d. Let c(g) = 2*g**2 + g. Let a(f) = c(f) - k(f). What is the second derivative of a(b) wrt b?
338
Let n(l) be the third derivative of -l**6/120 + l**4/3 + 197*l**3/6 - 2*l**2 + 36*l. What is the first derivative of n(o) wrt o?
-3*o**2 + 8
Let l(z) be the second derivative of 101*z**5/5 + 515*z**3/6 - 301*z. What is the second derivative of l(d) wrt d?
2424*d
Find the third derivative of 2*v**2 + 5*v - 57*v**4 + 5*v - 46*v**4 + 0*v wrt v.
-2472*v
Suppose -z = 3 - 14. What is the first derivative of 5*q - 10 - 13*q + z*q wrt q?
3
Let s(c) = 6*c + 15. Let i be s(-8). Let b = 33 + i. Differentiate 10 + b + 4*k**4 - 2*k + 2*k with respect to k.
16*k**3
Let w = -2 - -4. Suppose -2 + 6 = o + 2*g, o - 4*g + 2 = 0. What is the third derivative of o - k**2 + 2*k**w + 3*k**5 - 2 wrt k?
180*k**2
Let i = 4 - -12. What is the second derivative of -2*l - i*l + 16*l**2 + 11*l**2 + 3*l**2 wrt l?
60
Let s = 2 - -3. Find the second derivative of -g**s - 2*g - 8 - 575*g**4 + 575*g**4 - 14*g**3 wrt g.
-20*g**3 - 84*g
Let f(y) be the first derivative of 5*y**3/3 + 11*y**2/2 - 23*y + 5. Let v(i) be the first derivative of f(i). Differentiate v(a) wrt a.
10
Let s = 45 + -23. Find the second derivative of -35*k - 9 - 3*k + 9 - s*k**3 wrt k.
-132*k
Differentiate 264*s - 523*s + s**2 + 256*s - 15 wrt s.
2*s - 3
Let w(u) be the first derivative of -79*u**5/5 + 10*u - 46. Find the first derivative of w(m) wrt m.
-316*m**3
Let r(f) be the second derivative of 11*f**4/12 - 19*f**3/3 - 6*f + 1. Find the second derivative of r(u) wrt u.
22
Let k(j) = 100*j**4 + 4*j**3 + 4*j - 183. Let b(a) = a**3 + a - 1. Let v(y) = 4*b(y) - k(y). Differentiate v(t) with respect to t.
-400*t**3
Let h(o) = 132*o**3 - 384*o**2 - 3*o + 3. Let t(w) = 261*w**3 - 766*w**2 - 7*w + 7. Let z(r) = -7*h(r) + 3*t(r). Find the third derivative of z(d) wrt d.
-846
Let n(g) be the first derivative of g + 4*g - 11*g**2 + 1 + 10*g**2 - 7*g**2. Differentiate n(t) with respect to t.
-16
Let x = 2 - -1. Suppose 0 = x*b - 8*b + 20. What is the second derivative of -5*k**2 + 2*k + 8*k**2 - b*k wrt k?
6
Let k(i) be the first derivative of -679*i**4/4 - 5*i**2 + 4*i + 128. What is the second derivative of k(b) wrt b?
-4074*b
Let r(d) be the second derivative of 23/20*d**5 + 0*d**4 + 21*d + 0 + 0*d**2 + 7/2*d**3. Find the second derivative of r(j) wrt j.
138*j
Let j = 28 + -23. Find the second derivative of 49*m**5 - 12*m + 34*m**j - 59*m**5 wrt m.
480*m**3
Let l be 4/(-3) - (39 + -41). Let h(g) be the first derivative of 2*g - l*g**3 + 0*g**2 - 4. Differentiate h(i) with respect to i.
-4*i
Let o(l) be the third derivative of 13*l**6/10 + 19*l**5/60 - 2*l**3/3 + 72*l**2 - 1. Find the third derivative of o(m) wrt m.
936
Let r be (-12)/(-20) + 23/(-5). Let i(s) = -27*s**2 + 32*s. Let k(v) = 27*v**2 - 32*v. Let n(p) = r*k(p) - 5*i(p). What is the second derivative of n(j) wrt j?
54
Suppose -9*n = -9 - 18. Find the third derivative of -18*a**6 + 0*a**2 + 3 - 10*a**2 - n wrt a.
-2160*a**3
Let v(f) = -10*f + 17. Let w(n) = -4*n. Let o(y) = -11*y. Let j(s) = 3*o(s) - 8*w(s). Let h(r) = -4*j(r) + v(r). What is the first derivative of h(q) wrt q?
-6
Let y(k) be the third derivative of -7*k**6/120 - k**5/30 + 5*k**4/8 - k**3/6 - 274*k**2. Find the second derivative of y(o) wrt o.
-42*o - 4
What is the third derivative of -1 - 3 - k**2 - 2*k**2 - 1987*k**3 + 1910*k**3 wrt k?
-462
Let m(r) be the third derivative of -r**5/30 - r**4/12 - 145*r**3/6 + 30*r**2 - 6. Differentiate m(j) with respect to j.
-4*j - 2
Let o(q) be the second derivative of q**6/15 - 7*q**5/5 - q**4/12 - q**3/6 - q + 8. What is the third derivative of o(y) wrt y?
48*y - 168
What is the second derivative of -12*f**2 + 27*f**2 + 9*f**3 - 4 - 12*f**2 - 12*f wrt f?
54*f + 6
Suppose 12 = -g + 14. What is the first derivative of 13 - g*k + 2333*k**4 - 2355*k**4 + 2*k wrt k?
-88*k**3
Find the third derivative of -12*j + 729 - j**2 - 729 - 342*j + 256*j**3 + 113*j**3 wrt j.
2214
Let k(j) be the first derivative of -1/3*j**3 + 0*j**4 - 6/5*j**5 + 0*j**2 + 35 + 48*j. Differentiate k(t) wrt t.
-24*t**3 - 2*t
Let k = 13 - 13. Suppose k = 3*g - 2*g. What is the third derivative of 6*i**5 - i**2 + g*i**2 + 5*i**2 - 3*i**2 wrt i?
360*i**2
Let u(q) be the first derivative of 165*q**3 + 2*q**2 + 33*q + 329. What is the second derivative of u(w) wrt w?
990
Suppose 2 = -g - 0. Let l be ((-21)/6 - -1)*g. What is the second derivative of 27*p - 11*p**5 + 4*p**l - 28*p wrt p?
-140*p**3
Find the third derivative of -146*w**2 + 23*w**3 - 14*w**3 - 126*w**2 - 11*w**2 + 8*w**4 wrt w.
192*w + 54
Let g(m) be the first derivative of -53*m**4/2 + 26*m**3/3 + m + 116. Find the third derivative of g(b) wrt b.
-636
Let d(c) be the second derivative of 11/20*c**5 + 0*c**2 + 12*c + 0 + 14/3*c**3 + 0*c**4. What is the second derivative of d(x) wrt x?
66*x
Suppose -4*w + 33 - 17 = 4*x, 2*x = 4. Let l(r) be the third derivative of 0 + 13/24*r**4 + 7*r**w + 2*r**3 + 0*r. What is the derivative of l(k) wrt k?
13
Let r be (-3)/5 + 676/10. Suppose -4*w + 3*w - 3*j = -17, 0 = -3*w - j + r. What is the third derivative of 8*y**2 + 7*y**2 - w*y**2 - 7*y**6 wrt y?
-840*y**3
Let s(g) be the second derivative of 0 + 0*g**4 + 0*g**3 - 31*g - 7/20*g**5 + 31/2*g**2. Differentiate s(x) wrt x.
-21*x**2
What is the derivative of -43*u**3 - 664 + 357 - 33*u**3 + 349 wrt u?
-228*u**2
Let z(p) = 9*p**2 + 2*p + 1. Let m be 2 + (-3 + -4 - -4). Let d be z(m). Differentiate l**4 - d + 8*l**4 + 0*l + 0*l with respect to l.
36*l**3
Suppose 3*v = -6 - 0. Let a be 46 - -2*v/4. Differentiate 3*z**4 - a*z + 4 + 45*z with respect to z.
12*z**3
Let i = 5 + 12. Let n = i + -14. What is the third derivative of -2*k**n - 2*k**6 + 2*k**3 + 3*k**6 + 7*k**2 wrt k?
120*k**3
Let b(d) = -5*d + 1.
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{
"pile_set_name": "DM Mathematics"
}
|
irst derivative of -575056009*i**2 + 1303879679.
-1150112018*i
What is the second derivative of 5553681*p**2 + 68576993*p?
11107362
Find the third derivative of -442204561*j**4 + 5422*j**2 + 23839.
-10612909464*j
What is the second derivative of 9080668*n**2 - 279*n + 7450 wrt n?
18161336
Find the third derivative of 104*o**5 - 357*o**4 + 751*o**3 + 147025981*o**2.
6240*o**2 - 8568*o + 4506
What is the second derivative of -4*c**2*u**2 - 1846*c**2*u - 12*c**2 - 4482649*u**2 + 12 wrt u?
-8*c**2 - 8965298
Find the second derivative of 40868110*a**5*x - 101911633*a*x + x wrt a.
817362200*a**3*x
Differentiate 3*a*b**3 + 4*a*b**2 + 1228622*a*b + 47505*b**3 + 67*b**2 with respect to a.
3*b**3 + 4*b**2 + 1228622*b
Differentiate 96642581*g**4 + 110860605.
386570324*g**3
What is the derivative of -1253254661*c**2 - 844616001 wrt c?
-2506509322*c
Find the second derivative of 42588076*k**4 + 719717861*k.
511056912*k**2
Find the second derivative of 16108049*w**5 + 5442497*w + 9 wrt w.
322160980*w**3
Find the first derivative of -1054095*g**2 - 6*g - 42297010.
-2108190*g - 6
Find the second derivative of -9197822*f**2*h**3 + 182572*f**2 + 8*f*h - 8*h**3 - h wrt h.
-55186932*f**2*h - 48*h
What is the second derivative of 25*f**4 + 15*f**3 - 213*f**2 - 109486*f + 71?
300*f**2 + 90*f - 426
Find the third derivative of -213*j**6 + 8574*j**4 + 2*j**2 + 1720*j + 140 wrt j.
-25560*j**3 + 205776*j
Find the second derivative of -213253*y**3 + 554*y**2 - 95*y - 655818 wrt y.
-1279518*y + 1108
Differentiate 38*c**2*f - 443562*c*f - 44354707*f wrt c.
76*c*f - 443562*f
Differentiate 397453976*j**4 - 794762390 wrt j.
1589815904*j**3
What is the third derivative of 59545879*g**4*r**2 - 1025*g**2*r**2 - 490*g**2 - g*r**2 + 2*g*r - 3*r**2 - 2*r wrt g?
1429101096*g*r**2
What is the second derivative of -460196615*l**2*m**2 - 1913*l**2*m + 59190*m wrt m?
-920393230*l**2
Differentiate -25*q**2*u + 2*q**2 - 108931*q*u + 2307880*q with respect to u.
-25*q**2 - 108931*q
What is the derivative of -20053421*v**3 - 20918034 wrt v?
-60160263*v**2
What is the second derivative of -70*q*z**3 + q*z**2 + 400949*q - z**3 + 2877*z**2 + 158*z wrt z?
-420*q*z + 2*q - 6*z + 5754
What is the derivative of 2614206*s**3 + 189814477?
7842618*s**2
Find the first derivative of -2419410*t**2 + 10*t - 871034107 wrt t.
-4838820*t + 10
What is the second derivative of 431928727*u**2 + 646221062*u wrt u?
863857454
Differentiate 2684969*a**4*j + a**2*j**2 - j**2 + j - 591723 wrt a.
10739876*a**3*j + 2*a*j**2
Find the second derivative of -5541903*r**2*u + 3270133*r - 2*u wrt r.
-11083806*u
What is the first derivative of 417*n**4 - 3*n**3 - 2*n**2 + 441*n - 110479510 wrt n?
1668*n**3 - 9*n**2 - 4*n + 441
Find the third derivative of 25549515*j**4 - 5293*j**2 - j + 3773.
613188360*j
What is the second derivative of 64307848*l**2 + 138056167*l?
128615696
What is the third derivative of -a**3*o**2 - 256680725*a**3*o + 256534*a**2*o**2 - 2*a**2 + 13*o**2 wrt a?
-6*o**2 - 1540084350*o
What is the third derivative of 699233338*s**6 - 377726839*s**2?
83908000560*s**3
Find the second derivative of b**3 + 4577558*b**2 - 7655872*b wrt b.
6*b + 9155116
What is the second derivative of -19535455*q**3 - 605*q + 26251?
-117212730*q
What is the first derivative of -7*j**2*x**4 - 1316041*j**2 - 1533855*j*x**2 + 198 wrt x?
-28*j**2*x**3 - 3067710*j*x
Find the third derivative of 319*q**5 + q**4 + 1224*q**3 + 13*q**2 - 26468*q - 6.
19140*q**2 + 24*q + 7344
Find the first derivative of -38284*k**4 - 7858*k**3 + 217175464.
-153136*k**3 - 23574*k**2
What is the first derivative of 181566538*a + 51087370?
181566538
What is the third derivative of 75801599*s*t**3 - 11*s*t + 3*s - 64224*t**2 wrt t?
454809594*s
Find the third derivative of 26942127*a*i**3 + 1189*a*i**2 + 675*a*i wrt i.
161652762*a
What is the first derivative of 2*c*w**4 + 35*c*w + 4008320*c - 155*w**4 wrt w?
8*c*w**3 + 35*c - 620*w**3
Find the third derivative of -372796866*u**5 - 51078708*u**2 + 3 wrt u.
-22367811960*u**2
What is the second derivative of 151*j**3*w**4 + 72990*j**3*w + 3*j**3 - 3*j**2*w - 3*j**2 + 280*w**4 - 2 wrt w?
1812*j**3*w**2 + 3360*w**2
Find the second derivative of -96*p**4 - 172619*p**3 + 2*p - 1499864.
-1152*p**2 - 1035714*p
What is the second derivative of 6*b**3*r**2 - 8196*b**3*r + 1957*b**2*r**3 + r**2 + 1243*r wrt r?
12*b**3 + 11742*b**2*r + 2
What is the third derivative of -24571101*p**4 + 2*p**3 - 14126232*p**2 wrt p?
-589706424*p + 12
Differentiate -925968413*f**3 + 96941968 with respect to f.
-2777905239*f**2
Find the second derivative of 99645031*c**2 + 49075855*c.
199290062
What is the second derivative of -4178027*j**2*y**3 - 6*j*y**3 + 2*j*y**2 + j - 561*y**3 + 19*y - 2 wrt j?
-8356054*y**3
Find the first derivative of -209840*n**4 + 12*n**3 + 2*n**2 + 49917600.
-839360*n**3 + 36*n**2 + 4*n
What is the third derivative of -397568504*h**5 + 3344*h**2 + 606*h + 1 wrt h?
-23854110240*h**2
What is the derivative of -12820320*d - 12082815 wrt d?
-12820320
What is the second derivative of 780610*v**3 + 3*v**2 - 2065*v + 1822 wrt v?
4683660*v + 6
What is the first derivative of 6054840*n**4 + 23820204?
24219360*n**3
Find the second derivative of -571901120*n**3*v**2 + 105*n**3*v + 24603*n**2*v - 28 wrt v.
-1143802240*n**3
What is the derivative of 7399440*b**3 + 4627752?
22198320*b**2
What is the second derivative of -172605455*k**2 + 38622182*k?
-345210910
Find the second derivative of 4*k**2*m**2*n**2 - 1239340*k**2 + 531*k*m**2*n**2 - 2*k*m*n**2 - 8*m*n + 5*n**2 - 2*n wrt k.
8*m**2*n**2 - 2478680
What is the third derivative of 92847230*j**3 - 12518*j**2 + 7114 wrt j?
557083380
What is the second derivative of -40526*l*o**2 + 4*l*o + 181*l - 186*o**4 - 8*o - 342 wrt o?
-81052*l - 2232*o**2
What is the second derivative of -257326*b**3 + 218*b**2 - 4168726*b - 60?
-1543956*b + 436
Differentiate -81*a*d*q**2 + 1137233*a*d + 2048632*a*q + 4*d - 7 with respect to q.
-162*a*d*q + 2048632*a
What is the second derivative of 6804*n**3 - 69*n**2 + n + 601095 wrt n?
40824*n - 138
What is the first derivative of 23938776*r**2*s*w + 114*r**2 + 2*r*s**2*w**2 - 2*s**2 - 41224*s wrt w?
23938776*r**2*s + 4*r*s**2*w
Find the second derivative of 13164349*k**3 + 11697036*k wrt k.
78986094*k
Find the second derivative of -143546*c**4*t**2 - 4*c**3*t**3 - c*t**3 - 87*c*t - 2600*c wrt c.
-1722552*c**2*t**2 - 24*c*t**3
Differentiate 240*p**3 + 3327*p**2 + 224784164 with respect to p.
720*p**2 + 6654*p
What is the first derivative of -217155221*r - 872141330?
-217155221
What is the second derivative of 72160064*j**2 - 61090033*j - 1 wrt j?
144320128
What is the second derivative of 948*k**2*l**2*o**2 - k**2*l*o**2 - k**2*o**3 + 32*k**2*o + 6*k**2 - 2*l**2*o**3 - 34*l*o + l wrt l?
1896*k**2*o**2 - 4*o**3
What is the second derivative of 241*d**3*y**2 + 711124*d**2*y**3 - 46*d*y**3 + 4*d*y + 3*d - 151*y**2 + y - 7 wrt d?
1446*d*y**2 + 1422248*y**3
Find the second derivative of 340865803*p**5 - 1078469434*p wrt p.
6817316060*p**3
Differentiate -6117468*a**4 + a**2 + 89051371 wrt a.
-24469872*a**3 + 2*a
Find the third derivative of 9409713*a**4 - 3*a**2 + 30580829*a.
225833112*a
Differentiate 3355*c*l**2 + 14827*c + 20842*l**2 + 1717 wrt c.
3355*l**2 + 14827
What is the second derivative of 24319*l**3*u**2 - 126*l**3*u - 4*l**3 + 17*l**2*u**2 - 2*l*u**2 - u**2 + 15129 wrt u?
48638*l**3 + 34*l**2 - 4*l - 2
Find the second derivative of 2*q**2*v - 84549053*q**2 - 1121*q*v - 2*q - 3*v + 263 wrt q.
4*v - 169098106
What is the first derivative of -15804905*n + 103705681 wrt n?
-15804905
Find the third derivative of -5812*g**5 + 93*g**4 + 23*g**3 + 199717*g**2 + 51.
-348720*g**2 + 2232*g + 138
What is the second derivative of 74899998*x**2 + 58708095*x wrt x?
149799996
Differentiate -l**2*n**2 + 30709*l*n - 8300060*n**2 wrt l.
-2*l*n**2 + 30709*n
What is the third derivative of 29536015*a**6 + 3*a**4 - 8493*a**2 + 13413*a?
3544321800*a**3 + 72*a
What is the third derivative of 17825207*d**3 - 12*d**2 + 30*d + 5388 wrt d?
106951242
Differentiate 8*p**2*q + 2*p**2 - 2*p*q + 8*p - 13480*q - 255753 wrt q.
8*p**2 - 2*p - 13480
Find the third derivative of -294235*c**2*w**4 - 15*c**2*w**3 + 174*c**2*w**2 - 31*c*w**2 - 2*c*w + 5*w - 1 wrt w.
-7061640*c**2*
|
{
"pile_set_name": "DM Mathematics"
}
|
2.
2*n**2 - 2*n - 1895
Collect the terms in 23277*n + 0 - 1 - 23212*n.
65*n - 1
Collect the terms in -51213*w**2 - 51214*w**2 + 102440*w**2.
13*w**2
Collect the terms in 29*d - 337 - 231635*d**3 + 665 + 231633*d**3 - 328 - 29*d.
-2*d**3
Collect the terms in 131*o**3 + 54*o**3 - 49*o**3 - 331*o.
136*o**3 - 331*o
Collect the terms in 643*g**2 - 13436*g**3 + 17*g - 643*g**2 - 17*g.
-13436*g**3
Collect the terms in -57983*q - 1 + 0 + 58439*q + 3*q**2.
3*q**2 + 456*q - 1
Collect the terms in -79*a**3 - 74*a**3 + 140*a**3 + 8.
-13*a**3 + 8
Collect the terms in -538 + 327 - 280*l**3 + 290*l**3 - 1091.
10*l**3 - 1302
Collect the terms in -212*p**3 + 130*p**3 + 62*p - 11*p.
-82*p**3 + 51*p
Collect the terms in -8970*c - 9000*c - 9008*c + 26984*c.
6*c
Collect the terms in 203*a + 202*a + 71 + 332*a - 740*a.
-3*a + 71
Collect the terms in -19758713836*b**3 + 5 - 5 + 19758713835*b**3.
-b**3
Collect the terms in 243739 + 3*b**2 - 487519 + 243780.
3*b**2
Collect the terms in 25935 - 25935 + 9*b**3 - 24*b**3 - b**3 + 5*b**3 + 12*b**3.
b**3
Collect the terms in 1757*h**2 - 884 + 884 + 3027*h**2 - 1302*h**2.
3482*h**2
Collect the terms in -7 + 146*c**3 - 130*c + 1 + 1 + 130*c + 9.
146*c**3 + 4
Collect the terms in -1 - 5 - 3743197*y + 3743197*y - 10*y**2 + y**2 + 11*y**2 + 6.
2*y**2
Collect the terms in 2284*v**2 - 2*v - 1134*v**2 + 4*v - 1155*v**2.
-5*v**2 + 2*v
Collect the terms in 36685*c + 157*c**3 - 1140*c - 82*c**3 - 77*c**3.
-2*c**3 + 35545*c
Collect the terms in -3*j**3 - 4 - 27 - 31 - 12 + 11 + 63.
-3*j**3
Collect the terms in 46056*q - 14*q**2 + 0*q**2 + 15*q**2 - 46077*q.
q**2 - 21*q
Collect the terms in -768*t - 10798*t + 6151*t - 10519*t.
-15934*t
Collect the terms in -31*i + 22*i - 2*i**2 + 42 + 30*i - 42.
-2*i**2 + 21*i
Collect the terms in 36427 - 18216 + 153*q - 34*q**2 - 18211 - 153*q.
-34*q**2
Collect the terms in -88*t**3 - 110*t**3 - 26*t**3 + 324*t**3 + 10 - 102*t**3 - 10.
-2*t**3
Collect the terms in -1060 - 1632*g + 1068 - 1631*g + 3256*g.
-7*g + 8
Collect the terms in 197*d**3 + 210*d**3 + 194*d**3 - 1229*d**3 + 194*d**3 + 210*d**3 + 200*d**3.
-24*d**3
Collect the terms in 33*q - 11091 + 29*q + 25*q - 85*q + 3*q**2.
3*q**2 + 2*q - 11091
Collect the terms in -1099*y**2 + 300*y**2 + 317*y**2 + 165*y**2 + 317*y**2 - 3*y**3.
-3*y**3
Collect the terms in -1 - 149*b**2 - 327*b - 256*b + 842*b - 41*b**2 - 259*b.
-190*b**2 - 1
Collect the terms in -293*f + 1127*f - 882*f.
-48*f
Collect the terms in -629*o + 8 + 162 - 2189*o.
-2818*o + 170
Collect the terms in 77 - 23435*h**2 - 77 - 12096*h**2.
-35531*h**2
Collect the terms in 205 - 249*z**2 + 480*z**2 - 209*z**2.
22*z**2 + 205
Collect the terms in 35620*c + 36303*c + 37962*c - 103796*c.
6089*c
Collect the terms in 1020476362530*d + 4*d**2 - 1 - 1020476362530*d.
4*d**2 - 1
Collect the terms in -6268399*w**2 + 12536794*w**2 - 6268396*w**2.
-w**2
Collect the terms in 1 - 1238*h**2 - 1 + 3851*h**2 + 2*h - 1344*h**2 - 1222*h**2.
47*h**2 + 2*h
Collect the terms in 24*r + 20068 + 4*r - 18773.
28*r + 1295
Collect the terms in -15 - 23 - 32 - 27 - 260*y**2 + 97.
-260*y**2
Collect the terms in -31775*o**2 - 8894*o**2 - 4603*o + 9206*o - 4603*o.
-40669*o**2
Collect the terms in 6106*n**3 - 289*n**2 + 289*n**2 - 4 + 4 - 5910*n**3.
196*n**3
Collect the terms in 15 - 3*p - 13 + 2*p + 5700*p**2 + 6816*p**2.
12516*p**2 - p + 2
Collect the terms in -a**2 - 317 + a**2 + 691*a**3 + 317.
691*a**3
Collect the terms in -294470106 - 251*l**2 + 294470106.
-251*l**2
Collect the terms in -27 + 1057*g**2 + 54 - 27 - 1048*g**2.
9*g**2
Collect the terms in 3417*r - 3417*r - 3995*r**2.
-3995*r**2
Collect the terms in -14057*w**3 + 3*w**2 - 3*w**2 + 6749*w**3 + 6498*w**3.
-810*w**3
Collect the terms in -41*w + 188*w - 2 - 50*w - 99*w + 28.
-2*w + 26
Collect the terms in 27 - 46 + 19 - 6823*n.
-6823*n
Collect the terms in 141929705*b - 70964850*b - 70964850*b.
5*b
Collect the terms in 27*f + 7*f + 18*f - 6 - 75*f + 5*f + 20*f.
2*f - 6
Collect the terms in -5*w**2 + 2 - 5 - 70*w**2 - 65*w**3 - 78*w**2.
-65*w**3 - 153*w**2 - 3
Collect the terms in 0*q**2 - 11*q**2 - 3*q**2 - 7*q + 7*q**2.
-7*q**2 - 7*q
Collect the terms in -42425*p + 0 + 2 + 84940*p - 42245*p.
270*p + 2
Collect the terms in 163957*t**2 + t + 88404*t**2 - t.
252361*t**2
Collect the terms in 270929*j - 36342*j + 273306*j.
507893*j
Collect the terms in -14539*q + 7272*q + 7267*q + 3*q**3 - 2*q**3 + 11*q**3.
12*q**3
Collect the terms in -51*p + 2*p**2 + 63*p + 659*p + 56*p.
2*p**2 + 727*p
Collect the terms in -396 + 35*t - 26*t + 6*t + 396 + 6*t.
21*t
Collect the terms in 605*v**2 + 3*v - 676*v**2 - 84 - v**3 - 3*v.
-v**3 - 71*v**2 - 84
Collect the terms in 2106*w**2 - 4289*w**2 + 271*w**3 + 173*w**3 + 179*w**3 + 2183*w**2.
623*w**3
Collect the terms in -55464974*c**2 + 27732484*c**2 + 27732483*c**2.
-7*c**2
Collect the terms in 2523*z**3 + 3536*z**3 - 8204*z**3.
-2145*z**3
Collect the terms in -4350 - 4342 + 4*r**2 - 4556 + 17596 - 7*r**2 - 4348.
-3*r**2
Collect the terms in 2733*j**2 - 677*j**2 - 665*j**2 - 667*j**2 - 685*j**2.
39*j**2
Collect the terms in 129351*r + 23675*r - 10357*r + 39925*r.
182594*r
Collect the terms in 142541 - 142541 + 5*k + 97*k**3.
97*k**3 + 5*k
Collect the terms in -14*o**3 - 1224984364*o + 612492178*o + o**3 + 612492186*o + 6*o**3.
-7*o**3
Collect the terms in -28689*r + 14*r**3 + 8*r**3 - 28681*r - 17*r**3 + 57370*r.
5*r**3
Collect the terms in -14217*v**2 + 7077*v**2 + 7095*v**2.
-45*v**2
Collect the terms in -71585 + 23852 + 56*y + 23864 + 23869.
56*y
Collect the terms in -2732190*o**3 + 26*o - 26*o - 1120051*o**3.
-3852241*o**3
Collect the terms in -13*a + 263*a - 251*a - 23.
-a - 23
Collect the terms in 6984448*z**3 - 13968905*z**3 + 6984461*z**3.
4*z**3
Collect the terms in -8*l - 14*l - 27*l - 42*l**2 + 32*l + 17*l.
-42*l**2
Collect the terms in -4*v**2 + 9*v**2 + 44487918*v - 2*v**2 - 44487918*v - v**2.
2*v**2
Collect the terms in 379*y - 89*y + 512*y + 1051*y.
1853*y
Collect the terms in -29 + 22 + 77777361*x**2 + 2 - 77777360*x**2 + 5.
x**2
Collect the terms in 78 - 121 - 1088*d + 534*d + 555*d - 181.
d - 224
Collect the terms in -1542 + 327 - 16*z - 1552 + 0*z.
-16*z - 2767
Collect the terms in 4520*i - 4505 + 4505 - 4523*i.
-3*i
Collect the terms in -727*y**3 - 707*y**3 - 715*y**3 + 2774*y**3 + y - 613*y**3 - y.
12*y**3
Collect the terms in 561 - 3500 + 2941 - 74*v.
-74*v + 2
Collect the terms in 2916*q - 50*q**2 + 27*q**2 + 351*q - 31*q**2.
-54*q**2 + 3267*q
Collect the terms in -22*d**2 + 67*d**2 - 292*d**2 - 2*d + d + 4*d.
-247*d**2 + 3*d
Collect the terms in 6072244*p**3 - 3036214*p**3 - 3036027*p**3.
3*p**3
Collect the terms in -64885988*x - 10*x**3 + 64885988*x.
-10*x**3
Collect the terms in -1652621*q**2 - 100 - 87 + 42 + 1652620*q**2.
-q**2 - 145
Collect the terms in 275*i**3 - 12651356329 + 12651356329.
275*i**3
Collect the terms in -1288076894505784 + 1288076894505784 + 2*y.
2*y
Collect the terms in -2360363*o**3 + 1252677*o**3 - 2186807*o**3.
-3294493*o**3
Collect the terms in -3719 + 20*l**3 + 6259 - 1269 - 1271.
20*l**3
Collect the terms in 114242 + 74086 - 37894 - 3*o + 294347.
-3*o + 444781
Collect the terms in -33484*h - 33611*h + 100652*h - 33514*h.
43*h
Collect the terms in -5*x + 7*x**2 + 11*x**2 - 2 - 19*x**2 + 2*x**2.
x**2 - 5*x - 2
Collect the terms in 66*o**3 + 919*o**3 + 204 - 106 + 153.
985*o**3 + 251
Collect the terms in 229385*i**3 - 47 + 145 - 47 - 51 - 229376*i**3.
9*i**3
Collect the terms in -772 + 5*j**3 - 796 + 1576.
5*j**3 + 8
Collect the terms in -10 - g + 1 - 60 - 19 + 24*g**3.
24*g**3 - g - 88
Collect the terms in 177*s + 1640*s - 2833*s - 6429*s.
-7445*s
Collect the terms in -2*k**3 + 7995602*k - 2*k**3 - 7995047*k.
-4*k**3 + 555*k
Collect the terms in 3*x**2 - 83*x + 25 + 65 - x**2.
2*x**2 - 83*x + 90
Collect the terms in -313433*z - 9*z**3 + 108*z**3 + 313433*z.
99*z**3
Collect the terms in 3*l**2 + 39 + 3*l**2 - 3*l**2 + 102 + 9*l - 7*l.
3*l**2 + 2*l + 141
Collect the terms in 2*a**2 + 3211077*a - 3211077*a.
2*a**2
Collect the terms in -3*r**3 + 4*r**3 - 785*r + 4 - 3*r**3 - 2 - 46*r**2.
-2*r**3 - 46*r**2 - 785*r + 2
Collect the terms in 3*w**2 + 7856 - 3*w + 3*w**3 + 6581 + 4429.
3*w**3 + 3*w**2 - 3*w + 18866
Collect the terms in 1061 + 47*d - 52*d - 5*d**2 - 743.
-5*d**2 - 5*d
|
{
"pile_set_name": "DM Mathematics"
}
|
n multiple of 14112 and 3528.
14112
What is the lowest common multiple of 60 and 14289?
285780
Calculate the smallest common multiple of 116501 and 83215.
582505
Find the common denominator of -111/268000 and 121/5360.
268000
Calculate the least common multiple of 2622 and 736.
41952
Calculate the common denominator of -40/55177 and 71/21591.
496593
Find the common denominator of 21/40 and 59/4428.
44280
What is the least common multiple of 89773 and 6712?
718184
What is the common denominator of -77/21346 and -97/572?
469612
Calculate the smallest common multiple of 778271 and 119734.
1556542
What is the common denominator of -79/12 and -1/2222712?
2222712
Calculate the lowest common multiple of 1288 and 77027.
4313512
Find the common denominator of 21/2648 and 73/384.
127104
Find the common denominator of 77/1406 and -79/266.
9842
Find the common denominator of 48/27115 and -7/15950.
271150
Find the common denominator of -97/55272 and 65/9588.
939624
What is the lowest common multiple of 24 and 1070145?
8561160
Calculate the common denominator of -81/99592 and 67/64.
796736
What is the lowest common multiple of 23 and 66700?
66700
What is the lowest common multiple of 199467 and 21564?
797868
What is the lowest common multiple of 171532 and 740?
857660
Calculate the lowest common multiple of 4977 and 30.
49770
Find the common denominator of -29/17925 and -22/17925.
17925
Find the common denominator of -31/520 and -7/624.
3120
What is the least common multiple of 388359 and 86302?
776718
What is the least common multiple of 281880 and 240?
563760
Calculate the common denominator of -121/50 and -71/136650.
136650
What is the lowest common multiple of 17477 and 2?
34954
Calculate the lowest common multiple of 6121 and 31.
189751
Calculate the smallest common multiple of 304 and 8968.
17936
Find the common denominator of 31/98560 and 23/210.
295680
What is the least common multiple of 1980 and 156?
25740
Calculate the smallest common multiple of 7 and 12561.
87927
What is the smallest common multiple of 5750 and 5750?
5750
What is the lowest common multiple of 10 and 40942?
204710
Calculate the common denominator of 3/4030 and 7/620.
8060
What is the common denominator of 127/760 and -25/3216?
305520
Find the common denominator of 17/861 and -107/1834.
225582
Calculate the lowest common multiple of 108 and 2409.
86724
Calculate the least common multiple of 3056 and 24.
9168
Calculate the least common multiple of 1802 and 891990.
891990
Calculate the lowest common multiple of 279828 and 20.
1399140
Find the common denominator of 131/4842 and -23/72.
19368
Calculate the lowest common multiple of 33597 and 33597.
33597
Calculate the lowest common multiple of 3150 and 3850.
34650
Calculate the common denominator of 49/34180 and -63/80.
136720
Calculate the least common multiple of 549 and 252723.
758169
Find the common denominator of 19/717538 and -21/10.
3587690
Calculate the common denominator of 79/84936 and -107/240.
849360
Calculate the common denominator of 1/2384 and 53/745.
11920
Calculate the lowest common multiple of 497 and 4970.
4970
What is the common denominator of -47/67570 and -79/20?
135140
Find the common denominator of -47/91665 and 145/2016.
2933280
Find the common denominator of -92/225 and 1/55002.
4125150
Find the common denominator of -11/30438 and -59/33820.
304380
What is the least common multiple of 27 and 1832676?
16494084
Find the common denominator of -143/13720 and 167/16464.
82320
Calculate the smallest common multiple of 20205 and 162.
363690
What is the common denominator of 14/88395 and 41/150?
883950
Find the common denominator of -43/2100 and -1/12852.
321300
What is the least common multiple of 1344 and 42?
1344
What is the common denominator of 23/14 and -139/5898?
41286
Calculate the common denominator of -59/25 and 21/520.
2600
Calculate the common denominator of -101/1118 and -43/6643.
571298
What is the smallest common multiple of 48 and 39696?
39696
What is the smallest common multiple of 9 and 19122?
57366
Calculate the smallest common multiple of 808 and 152.
15352
Find the common denominator of 149/12276 and 29/20460.
61380
Calculate the smallest common multiple of 32084 and 17276.
224588
What is the common denominator of 55/697 and 137/375396?
6381732
Find the common denominator of 89/782 and -121/187266.
3183522
Calculate the smallest common multiple of 480 and 38025.
1216800
Calculate the common denominator of 143/114 and -11/71.
8094
Calculate the least common multiple of 45204 and 24.
90408
Calculate the least common multiple of 15 and 1057806.
5289030
What is the least common multiple of 7530 and 80?
60240
What is the lowest common multiple of 12034 and 660?
361020
What is the common denominator of 53/7884 and -69/3796?
102492
Calculate the common denominator of -59/2510 and -56/15.
7530
Calculate the lowest common multiple of 2178 and 392832.
4321152
What is the common denominator of 73/59166 and -7/95?
295830
Calculate the lowest common multiple of 110277 and 45.
551385
What is the common denominator of 16/248193 and 80/52647?
1737351
Calculate the lowest common multiple of 17136 and 2160.
257040
What is the smallest common multiple of 81024 and 6?
81024
Find the common denominator of -101/756 and -163/10584.
10584
What is the least common multiple of 1422 and 51?
24174
Calculate the common denominator of 16/52925 and -1/4475.
9473575
Find the common denominator of -50/11 and 46/85081.
935891
Calculate the least common multiple of 2304 and 168.
16128
Find the common denominator of -10/123773 and 67/44.
5446012
What is the common denominator of -27/27064 and -121/136116?
4627944
What is the common denominator of 69/1214 and -43/1614?
979698
Find the common denominator of -10/57 and -12/4541.
13623
Calculate the lowest common multiple of 98 and 26544.
185808
Calculate the common denominator of 61/6800 and -93/18500.
1258000
Calculate the common denominator of -133/60 and -31/921.
18420
Calculate the common denominator of -37/7 and 41/123109.
123109
What is the common denominator of 8/178143 and -4/21?
178143
Calculate the smallest common multiple of 14945 and 35.
14945
What is the common denominator of -37/22576 and -15/88?
248336
Find the common denominator of 45/4 and -53/31504.
31504
Calculate the least common multiple of 8064 and 728.
104832
Calculate the least common multiple of 1397 and 134493.
1479423
What is the smallest common multiple of 24752 and 153?
222768
Calculate the least common multiple of 1184 and 229312.
8484544
Calculate the lowest common multiple of 2 and 20020.
20020
What is the common denominator of -101/166944 and 91/10?
834720
What is the common denominator of -73/1008 and -55/10304?
92736
Calculate the common denominator of 61/108120 and -73/570.
2054280
Calculate the smallest common multiple of 3263 and 637.
159887
Find the common denominator of 57/170 and -16/411.
69870
Calculate the common denominator of -89/150 and -73/163086.
4077150
Calculate the common denominator of 65/4884 and 151/2508.
92796
Calculate the common denominator of 143/85350 and 101/13656.
341400
Find the common denominator of 28/2638887 and 23/6.
5277774
Calculate the smallest common multiple of 20631 and 92.
82524
What is the lowest common multiple of 112 and 65136?
455952
Find the common denominator of 43/747 and 68/513687.
1541061
What is the lowest common multiple of 4908 and 96?
39264
Calculate the common denominator of 73/15 and 119/51942.
259710
What is the least common multiple of 442 and 15912?
15912
What is the common denominator of 17/5670 and 17/18480?
498960
Find the common denominator of 113/110496 and 29/128.
441984
What is the lowest common multiple of 33552 and 12?
33552
Calculate the common denominator of 77/9090 and 137/11110.
99990
Calculate the least common multiple of 20140 and 3021.
60420
What is the smallest common multiple of 4496 and 128?
35968
Calculate the common denominator of -75/28 and 31/536344.
3754408
What is the least common multiple of 15940 and 439944?
2199720
Find the common denominator of -121/104652 and -35/279072.
837216
What is the common denominator of 83/14640 and 71/17080?
102480
Calculate the lowest common multiple of 1063366 and 963.
9570294
What
|
{
"pile_set_name": "DM Mathematics"
}
|
What is -100110100111111101100010 (base 2) in base 10?
-10125154
Convert -6701 (base 8) to base 6.
-24145
What is 3631750 (base 8) in base 6?
33204344
What is -10111001101001101110110 (base 2) in base 10?
-6083446
What is d13d (base 15) in base 11?
301a4
10000111100111110000 (base 2) to base 3
1001020000020
Convert -6607152 (base 8) to base 14.
-3422a6
What is -6d05a4 (base 15) in base 12?
-18b639a
What is 576234 (base 13) in base 14?
3bc4dd
What is -702a7b (base 15) in base 11?
-3007614
What is -9bb6 (base 14) in base 3?
-1101001110
Convert 34402215 (base 6) to base 2.
100000010010100000011
What is 116504 (base 9) in base 13?
2606b
11020333030 (base 4) to base 6
44514324
What is 1011001 (base 2) in base 5?
324
What is 1112031111 (base 4) in base 12?
150419
-4b2332 (base 14) to base 13
-6c442c
17016 (base 10) to base 7
100416
-1402137 (base 9) to base 10
-769210
Convert -632536 (base 7) to base 6.
-2200351
What is -5056901 (base 10) in base 9?
-10456678
61048 (base 9) to base 13
15368
-46dab (base 14) to base 16
-2a31b
33b99ba (base 13) to base 10
15929924
-1340134 (base 8) to base 5
-44030144
Convert -67007 (base 16) to base 9.
-712652
What is -1053665 (base 8) in base 2?
-1000101011110110101
Convert 10022110210022 (base 3) to base 11.
aa316a
2876b29 (base 13) to base 10
12838965
Convert -6030e (base 15) to base 11.
-198803
Convert 1100110101001010 (base 2) to base 6.
1043150
Convert 245377 (base 8) to base 9.
138210
What is 33567241 (base 8) in base 2?
11011101110111010100001
Convert -9469048 (base 10) to base 16.
-907c78
What is 4582866 (base 9) in base 5?
1113210123
388a836 (base 11) to base 9
13604037
Convert -3783146 (base 10) to base 7.
-44104403
Convert 52072 (base 11) to base 5.
4412241
What is a7296 (base 13) in base 9?
508454
What is -1111101100011000 (base 2) in base 3?
-10021011202
-32131075 (base 8) to base 13
-15630ac
Convert 22010103 (base 4) to base 11.
28a87
What is 10122454 (base 6) in base 12?
12042a
What is b194 (base 14) in base 13?
10b6c
What is 238e4 (base 15) in base 3?
12202112121
What is 3411230 (base 6) in base 15?
36269
Convert 275544 (base 8) to base 16.
17b64
Convert -413217 (base 13) to base 3.
-2212020222120
-3053625 (base 7) to base 3
-200121110110
What is 25b389 (base 12) in base 3?
1011112200220
11110100000010110010011 (base 2) to base 12
2817957
What is -5676316 (base 10) in base 2?
-10101101001110100011100
What is 2735a (base 14) in base 9?
156583
What is 3333431 (base 6) in base 12?
81277
-2100222211 (base 3) to base 6
-555551
Convert 1809373 (base 12) to base 15.
6894c6
What is -273534 (base 9) in base 2?
-101000101011111000
What is -43411010 (base 5) in base 16?
-5af96
-1476647 (base 9) to base 7
-6646126
Convert -19da71 (base 16) to base 7.
-20254466
51453344 (base 6) to base 10
1484704
-15065652 (base 8) to base 6
-201344442
What is 64306255 (base 7) in base 11?
30a25a1
What is 122015 (base 7) in base 10?
22307
What is 12427dd (base 14) in base 11?
4a47a53
What is 12434690 (base 10) in base 2?
101111011011110100000010
-32ad37 (base 14) to base 2
-110100100000000010101
What is 12021010200 (base 3) in base 10?
103617
Convert -6289600 (base 10) to base 4.
-113333203000
What is 3b9983 (base 15) in base 10?
2867523
Convert 22044602 (base 7) to base 5.
441044111
Convert -2202210000 (base 3) to base 5.
-3221023
Convert -211021213 (base 4) to base 10.
-152167
Convert -10101101010011101001111 (base 2) to base 16.
-56a74f
-13024 (base 6) to base 5
-30320
What is 102110021120111 (base 3) in base 4?
113032032100
26460 (base 12) to base 5
3134423
Convert 11010111111010101001011 (base 2) to base 8.
32772513
What is -947a07 (base 14) in base 10?
-5015255
What is -15e8a (base 16) in base 13?
-31acc
What is -25305 (base 15) in base 13?
-420cb
-14021442 (base 6) to base 2
-1110010101000100010
31396 (base 13) to base 15
1b35a
What is 6928d (base 14) in base 15?
50b74
What is -5297502 (base 10) in base 12?
-1935826
Convert 12640236 (base 7) to base 13.
31c37a
What is 4401a (base 11) in base 2?
1111100110100101
27521 (base 14) to base 5
11101144
Convert -38643 (base 11) to base 5.
-3232334
What is -43143424 (base 5) in base 7?
-3051365
What is -2524 (base 16) in base 5?
-301013
-18bd220 (base 15) to base 4
-1010322312213
What is 121002100202 (base 3) in base 10?
316649
What is -e23b (base 16) in base 9?
-87400
What is -373487 (base 9) in base 11?
-1445aa
Convert 23234 (base 11) to base 7.
166553
What is 55012163 (base 7) in base 2?
10001111101101100010101
What is 53958 (base 12) in base 15?
229d8
What is 1b011 (base 16) in base 6?
2212025
What is -3202122333 (base 4) in base 12?
-388853
-2399a9 (base 12) to base 14
-110317
Convert -79074 (base 13) to base 6.
-4413323
-b8a34 (base 13) to base 8
-1213250
47136 (base 13) to base 11
89604
Convert -2122112222 (base 3) to base 12.
-2622b
Convert 16f9b (base 16) to base 3.
11210002110
Convert -d8c3 (base 14) to base 12.
-19797
Convert 22002201011 (base 3) to base 16.
26ecf
What is -10c03c (base 15) in base 13?
-220143
Convert -19b28e (base 15) to base 10.
-1252709
Convert 11010011100100010011 (base 2) to base 3.
1122000201112
What is 102823 (base 15) in base 11?
484a84
-fbc1e (base 16) to base 12
-418912
1801554 (base 10) to base 11
1020597
Convert -da3d7 (base 14) to base 12.
-215409
-4311442020 (base 5) to base 16
-8ac109
2c43 (base 15) to base 6
112013
Convert 13e8a (base 15) to base 13.
231b5
What is 50001 (base 14) in base 6?
4041133
Convert -125782 (base 11) to base 6.
-4124153
Convert -1cd05 (base 15) to base 6.
-2003235
What is c70b7b (base 13) in base 5?
2143014104
What is 11001111001011001110 (base 2) in base 11?
52a616
-7071050 (base 8) to base 2
-111000111001000101000
-11011202002100 (base 3) to base 9
-4152070
What is 220000101202 (base 3) in base 10?
472682
Convert -100001110101001101 (base 2) to base 15.
-2b0d3
What is 1132032 (base 4) in base 11?
4592
Convert -2011120122 (base 3) to base 15.
-c9be
818893 (base 14) to base 2
10000101001100101110001
106535135 (base 7) to base 6
352403335
What is 2eb89 (base 16) in base 3?
100201111202
20871823 (base 9) to base 13
2121858
What is -11011011011000111000 (base 2) in base 16?
-db638
What is 1234911 (base 14) in base 9?
17380611
Convert 2232031032 (base 4) to base 3.
1100020210210
What is 66656 (base 11) in base 10?
96619
Convert 101011100021 (base 3) to base 4.
300310330
Convert -186344 (base 11) to base 7.
-2302333
What is -100011101000111 (base 2) in base 9?
-27024
-3252aa (base 16) to base 12
-1130662
What is -52c1c2 (base 15) in base 13?
-a7bbb6
10723633 (base 10) to base 5
10221124013
What is -40430242 (base 5) in base 10?
-326947
Convert 143525324 (base 6) to base 9.
5544477
Convert 134501013 (base 6) to base 12.
b04769
Convert 80984 (base 10) to base 6.
1422532
-109431 (base 11) to base 4
-222113230
203231210013 (base 4) to base 7
142400334
Convert 12220500 (base 8) to base 3.
12001221111220
Convert -621057 (base 8) to base 10.
-205359
Convert 8285a (base 14) to base 3.
120222100211
Convert 18706a (base 13) to base 9.
1136858
1750433 (base 10) to base 3
10021221010212
Convert -302a09 (base 12) to base 6.
-24034413
-112013465 (base 7) to base 12
-2352bab
What is -42c5a8 (base 14) in base 11?
-1305681
What is -3a2c4 (base 13) in base 8?
-323167
What is 31200312022 (base 4) in base 13?
970501
What is 322667 (base 8) in base 7?
626515
Convert 130198 (base 11) to base 4.
302012102
Convert 178a106 (base 12) to base 10.
4911126
3846436 (base 9) to base 4
20000020122
-1020110220102 (base 3) to base 15
-d039b
-10011222221222 (base 3) to base 9
-3158858
Convert 24929 (base 15) to base 13.
41229
-36bd46 (base 14) to base 15
-271127
Convert 13423453 (base 7) to base 12.
503307
650fc (base 16) to base 4
1211003330
What is -731ab7 (base 14) in base 5?
-1443304011
-211234342 (base 5) to base 11
-553a54
Convert -8b220 (base 13) to base 8.
-756133
What is -272a97 (base 14) in base 8?
-5120715
What is -88e18a (base 16) in base 4?
-202032012022
Convert 11541576 (base 8) to base 10.
2540414
Convert -201121201220 (base 3) to base 7.
-3165612
What is 113244151 (base 7) in base 14?
cdbc98
What is 5221011 (base 6) in base 15?
4e867
Convert 6ba32 (base 14) to base 9.
440301
What is 121585 (base 9) in base 5?
4322012
Convert -143752
|
{
"pile_set_name": "DM Mathematics"
}
|
when two letters picked without replacement from qqooo?
1/10
Calculate prob of picking 2 o when two letters picked without replacement from zkkpockoczzh.
1/66
What is prob of picking 2 r and 2 h when four letters picked without replacement from {r: 7, h: 4}?
21/55
Three letters picked without replacement from wvvwmmwvvwm. What is prob of picking 1 w, 1 m, and 1 v?
16/55
Calculate prob of picking 1 z, 1 d, and 1 o when three letters picked without replacement from ozvigzdzdoggzv.
4/91
Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {c: 1, z: 5, d: 1, u: 2, v: 5, g: 1}.
1/105
What is prob of picking 2 c and 2 d when four letters picked without replacement from {i: 4, f: 4, c: 2, d: 5}?
2/273
Two letters picked without replacement from {m: 1, o: 1, d: 1, e: 1, z: 1, g: 2}. Give prob of picking 1 m and 1 o.
1/21
Four letters picked without replacement from {c: 1, o: 1, w: 2, d: 2, e: 1, l: 1}. Give prob of picking 1 l, 1 w, and 2 d.
1/35
Calculate prob of picking 1 q and 2 c when three letters picked without replacement from qqqqqcqc.
3/28
Two letters picked without replacement from {d: 3, j: 5, c: 4, p: 2, s: 5}. What is prob of picking 2 j?
10/171
Calculate prob of picking 3 g when three letters picked without replacement from giixxxxixgxigixx.
1/560
What is prob of picking 1 v and 1 l when two letters picked without replacement from lvllllv?
10/21
Three letters picked without replacement from {z: 3, w: 15, e: 2}. What is prob of picking 1 z and 2 w?
21/76
What is prob of picking 1 a and 1 c when two letters picked without replacement from malaalca?
1/7
Calculate prob of picking 3 z and 1 e when four letters picked without replacement from {e: 7, z: 3, o: 4}.
1/143
Four letters picked without replacement from {b: 5, v: 7}. Give prob of picking 4 v.
7/99
Calculate prob of picking 2 f and 1 m when three letters picked without replacement from cupffmq.
1/35
What is prob of picking 2 g and 1 b when three letters picked without replacement from rgggggbrrb?
1/6
What is prob of picking 1 b, 1 i, and 1 d when three letters picked without replacement from {l: 6, b: 6, d: 1, i: 5, o: 1}?
10/323
Two letters picked without replacement from {a: 12, s: 3}. Give prob of picking 2 a.
22/35
Two letters picked without replacement from {x: 7, y: 1, q: 3, v: 6}. Give prob of picking 1 v and 1 x.
21/68
Four letters picked without replacement from {h: 3, q: 15}. Give prob of picking 2 q and 2 h.
7/68
What is prob of picking 2 o when two letters picked without replacement from {o: 3}?
1
Calculate prob of picking 3 h and 1 u when four letters picked without replacement from {l: 1, h: 3, q: 1, e: 1, t: 6, u: 1}.
1/715
Four letters picked without replacement from eeeeeegeeeeeeee. What is prob of picking 1 g and 3 e?
4/15
Calculate prob of picking 2 v and 1 c when three letters picked without replacement from tvvvppvcgc.
1/10
Three letters picked without replacement from rkjpkrmkhkmpjkrkpkpp. What is prob of picking 2 p and 1 r?
1/38
Two letters picked without replacement from {f: 3, w: 1, m: 4, v: 4, l: 1, h: 2}. Give prob of picking 1 f and 1 l.
1/35
Two letters picked without replacement from {u: 4, w: 9, t: 1}. Give prob of picking 2 u.
6/91
Two letters picked without replacement from yyyhyyhyhhyhh. Give prob of picking 2 h.
5/26
Four letters picked without replacement from uuwqqqqawawqaaanq. What is prob of picking 2 a, 1 u, and 1 n?
1/119
Calculate prob of picking 2 r and 2 e when four letters picked without replacement from errerrrrrerrrrr.
66/455
What is prob of picking 1 z and 1 e when two letters picked without replacement from {h: 2, z: 2, e: 4}?
2/7
What is prob of picking 1 p and 1 h when two letters picked without replacement from phhphhhppphphhhhhh?
8/17
What is prob of picking 1 g and 3 h when four letters picked without replacement from {h: 7, j: 11, g: 2}?
14/969
Three letters picked without replacement from yggzgygyyyyz. Give prob of picking 3 y.
1/11
Three letters picked without replacement from awwwawawawwaww. What is prob of picking 3 a?
5/182
Calculate prob of picking 2 n and 2 p when four letters picked without replacement from {j: 3, h: 1, n: 2, p: 4}.
1/35
Three letters picked without replacement from ffqffq. Give prob of picking 1 f and 2 q.
1/5
Calculate prob of picking 1 b, 2 x, and 1 n when four letters picked without replacement from bnhbncnnxnhhnhhc.
0
Three letters picked without replacement from {k: 2, f: 4, r: 5}. Give prob of picking 3 f.
4/165
What is prob of picking 2 v and 1 y when three letters picked without replacement from yvydyyfvfyvf?
3/44
Three letters picked without replacement from {e: 6, c: 6}. Give prob of picking 3 e.
1/11
Four letters picked without replacement from {o: 9, q: 2}. What is prob of picking 2 o and 2 q?
6/55
What is prob of picking 1 v and 2 b when three letters picked without replacement from {b: 2, o: 1, v: 1}?
1/4
Calculate prob of picking 3 l and 1 m when four letters picked without replacement from llmlllllmlllllmlmll.
455/969
Calculate prob of picking 1 e and 1 n when two letters picked without replacement from ffffnefifffeeffpp.
3/136
Calculate prob of picking 1 u and 2 v when three letters picked without replacement from yuveevykyyvvuevykvy.
10/323
Two letters picked without replacement from {c: 1, y: 2, z: 2, l: 1, k: 1}. What is prob of picking 1 l and 1 c?
1/21
Three letters picked without replacement from nfnnfnf. What is prob of picking 2 n and 1 f?
18/35
What is prob of picking 1 x and 1 b when two letters picked without replacement from xbtuknubbuuuxtt?
2/35
What is prob of picking 2 s when two letters picked without replacement from hsshhssilyhhll?
6/91
Four letters picked without replacement from {l: 12, d: 1, m: 1, y: 5}. What is prob of picking 4 l?
165/1292
What is prob of picking 1 f and 1 b when two letters picked without replacement from {b: 7, k: 2, d: 7, f: 3}?
7/57
What is prob of picking 1 l and 1 f when two letters picked without replacement from {l: 2, f: 7}?
7/18
What is prob of picking 1 l and 2 q when three letters picked without replacement from zluzhjzzzzuhhhuqqzhz?
1/1140
What is prob of picking 1 z, 1 y, and 1 n when three letters picked without replacement from wnzwwyyyzyyz?
3/44
Four letters picked without replacement from kupkpqpkpuukuuuzuuku. What is prob of picking 1 z, 1 p, 1 k, and 1 q?
4/969
Four letters picked without replacement from {g: 1, s: 6, n: 4, w: 2}. What is prob of picking 1 g, 2 w, and 1 n?
4/715
Two letters picked without replacement from {d: 3, c: 5}. What is prob of picking 2 d?
3/28
Three letters picked without replacement from ssssstssssst. What is prob of picking 1 s and 2 t?
1/22
Four letters picked without replacement from {r: 3, y: 4, i: 2, s: 2, a: 6, h: 1}. Give prob of picking 3 y and 1 s.
2/765
Calculate prob of picking 2 t when two letters picked without replacement from {f: 6, t: 3, u: 2, y: 2}.
1/26
Two letters picked without replacement from wkrkkoyarra. Give prob of picking 2 k.
3/55
Two letters picked without replacement from {v: 2, l: 2, i: 4, b: 10, x: 1}. Give prob of picking 1 b and 1 l.
20/171
Three letters picked without replacement from cwseueeullew. What is prob of picking 1 u, 1 l, and 1 c?
1/55
Three letters picked without replacement from {j: 3, i: 1, c: 3, d: 2, q: 4, g: 6}. What is prob of picking 1 d and 2 c?
2/323
Calculate prob of picking 1 a and 2 j when three letters picked without replacement from jjmaamajmmjmaaai.
9/140
Calculate prob of picking 2 v and 2 a when four letters picked without replacement from avlovzavalavaoyvv.
15/238
What is prob of picking 1 l and 2 i when three letters picked without replacement from {l: 2, i: 4, h: 3, x: 1, n: 4, j: 3}?
3/170
Two letters picked without replacement from oyvqvoqvjyqoyowvv. What is prob of picking 1 w and 1 v?
5/136
Four letters picked without replacement from lllyylllyyllll. What is prob of picking 3 l and 1 y?
480/1001
Two letters picked without replacement from vvicri. What is prob of picking 2 v?
1/15
Three letters picked without replacement from {b: 2, k: 1, p: 2}. Give prob of picking 1 b, 1 k, and 1 p.
2/5
Four letters picked without replacement from zztzzzzztzzzzzzzzztz. What is prob of picking 3 z and 1 t?
8/19
W
|
{
"pile_set_name": "DM Mathematics"
}
|
56 and 2016.
168
Calculate the highest common factor of 514300 and 55130.
370
What is the highest common divisor of 13323660 and 10710?
210
What is the greatest common factor of 8026870 and 235?
5
What is the greatest common factor of 805285 and 20111?
169
What is the highest common divisor of 2573070 and 4308276?
2586
Calculate the greatest common factor of 9365630 and 1590.
530
Calculate the highest common factor of 216 and 20168.
8
What is the highest common divisor of 2639 and 314083224?
2639
Calculate the greatest common factor of 6224 and 30368.
16
Calculate the highest common factor of 4804 and 358799951.
1201
Calculate the highest common divisor of 1598115 and 975.
15
Calculate the highest common factor of 11964 and 1278000462.
5982
What is the highest common factor of 67745431 and 710?
71
What is the highest common divisor of 3375 and 382575?
75
Calculate the greatest common factor of 9468 and 37613997.
2367
Calculate the highest common factor of 5670 and 34452810.
1890
Calculate the highest common divisor of 406161304 and 4552.
4552
Calculate the greatest common factor of 255 and 28478485.
85
What is the greatest common factor of 30132 and 3751?
31
Calculate the greatest common factor of 69783 and 95109.
21
What is the greatest common factor of 14 and 117216617?
7
What is the highest common factor of 4299 and 315321619?
1433
Calculate the highest common factor of 3645 and 1003833.
729
What is the greatest common factor of 118 and 4902133?
59
What is the highest common factor of 184 and 131628494?
46
What is the highest common divisor of 18 and 6066594?
18
Calculate the greatest common factor of 5153280 and 104064.
384
What is the highest common factor of 2665050 and 86390?
1630
Calculate the greatest common divisor of 1563 and 1482766.
521
Calculate the greatest common factor of 29835 and 4361435.
1105
Calculate the highest common divisor of 455 and 8750.
35
Calculate the highest common divisor of 1452 and 3453.
3
What is the highest common divisor of 3699 and 1489875?
411
Calculate the greatest common divisor of 32235 and 620140.
1535
Calculate the greatest common factor of 97929452 and 106403.
9673
What is the greatest common divisor of 40547 and 1261?
13
Calculate the highest common factor of 310 and 25900500.
310
What is the greatest common divisor of 156434363 and 2391?
797
Calculate the highest common factor of 1477142376 and 34191.
11397
What is the greatest common factor of 494813691 and 5994?
2997
What is the greatest common divisor of 16247 and 1697073?
1477
Calculate the greatest common divisor of 18166 and 1613258.
586
What is the greatest common factor of 92131392 and 82416?
4848
Calculate the greatest common factor of 5073 and 5761237.
1691
Calculate the highest common divisor of 19814 and 1494.
2
Calculate the highest common divisor of 32 and 32924008.
8
Calculate the highest common factor of 3618 and 12557862.
54
Calculate the greatest common divisor of 2740035 and 2109.
111
Calculate the greatest common divisor of 3688073 and 943.
943
What is the greatest common divisor of 11267530 and 933?
311
What is the greatest common divisor of 63 and 746186?
7
Calculate the greatest common divisor of 11527560 and 62730.
3690
Calculate the greatest common divisor of 211326 and 19950.
6
Calculate the greatest common factor of 1275 and 177650.
425
What is the highest common divisor of 1025 and 1302529?
41
Calculate the greatest common divisor of 1423 and 122878896.
1423
Calculate the highest common divisor of 36809080 and 30464.
952
Calculate the highest common divisor of 156412 and 8.
4
What is the highest common factor of 16147 and 2028979?
241
Calculate the greatest common factor of 1044134105 and 2415.
805
Calculate the greatest common divisor of 12187372 and 10918.
206
What is the greatest common divisor of 40480200 and 2752?
344
What is the highest common factor of 14829 and 14253?
3
Calculate the greatest common divisor of 11557387 and 21731.
701
Calculate the highest common divisor of 7252 and 315952.
196
What is the highest common divisor of 9042 and 7062?
66
What is the highest common factor of 13015 and 6365?
95
What is the highest common divisor of 8930 and 1576430?
190
What is the greatest common factor of 576 and 217341?
9
Calculate the greatest common factor of 32590838 and 406.
406
What is the greatest common divisor of 27568593 and 364?
13
What is the highest common divisor of 4075379 and 184877?
539
What is the greatest common factor of 2018 and 21799?
1
What is the greatest common divisor of 354 and 2618457111?
177
What is the greatest common factor of 239 and 12599602?
239
What is the highest common factor of 77994 and 24894?
18
What is the highest common divisor of 16705 and 11219?
13
What is the highest common divisor of 316806 and 2919?
21
What is the highest common divisor of 49377 and 1787382?
327
Calculate the greatest common divisor of 360945216 and 13952.
6976
Calculate the highest common divisor of 17837016 and 168.
24
Calculate the highest common factor of 49346228 and 582.
194
Calculate the highest common divisor of 29237 and 53014.
13
What is the highest common divisor of 65366 and 280546?
406
Calculate the highest common divisor of 632205 and 28767.
669
What is the greatest common divisor of 22017 and 5016117?
537
Calculate the highest common divisor of 1520 and 380896.
16
Calculate the highest common divisor of 113956110 and 240.
30
What is the greatest common factor of 212983850 and 50?
50
What is the highest common factor of 1812499590 and 7590?
7590
What is the highest common factor of 541791101 and 905?
181
What is the highest common factor of 33284077 and 7679?
1097
Calculate the highest common divisor of 284 and 7081966.
142
Calculate the greatest common divisor of 676226 and 816.
34
What is the greatest common divisor of 2369692 and 304868?
796
Calculate the highest common divisor of 1762136 and 7011.
19
What is the greatest common divisor of 116 and 113810065?
29
Calculate the highest common factor of 903108 and 1591744.
1292
Calculate the greatest common factor of 2588 and 140694032.
2588
What is the highest common divisor of 186909370 and 10?
10
What is the greatest common divisor of 15 and 71991375?
15
Calculate the greatest common divisor of 352039464 and 252.
252
What is the greatest common divisor of 109875267 and 18?
9
What is the highest common factor of 18688 and 8030000?
1168
What is the highest common divisor of 16108518 and 9?
3
Calculate the highest common divisor of 1193059680 and 5088.
5088
Calculate the greatest common factor of 10788 and 391764.
12
What is the greatest common factor of 6193 and 1443532?
563
What is the highest common factor of 4725 and 1144920?
105
Calculate the greatest common factor of 166144 and 148864.
128
What is the highest common factor of 6 and 427566?
6
What is the highest common factor of 655732 and 51128?
308
What is the highest common divisor of 6976 and 99639952?
1744
Calculate the highest common divisor of 22 and 55617782.
22
Calculate the highest common factor of 16716140 and 180005.
4865
Calculate the highest common divisor of 11437560 and 1800.
360
Calculate the highest common divisor of 2192 and 45472.
16
Calculate the highest common factor of 36 and 383412.
12
Calculate the highest common divisor of 20456 and 1136.
8
Calculate the highest common divisor of 63056 and 32.
16
What is the highest common factor of 4655 and 378035?
245
Calculate the highest common factor of 462 and 6072423.
21
What is the greatest common divisor of 38007 and 29629701?
927
What is the greatest common factor of 2584 and 133271738?
646
Calculate the highest common factor of 486 and 49199481.
243
Calculate the highest common factor of 744629 and 13775.
19
Calculate the highest common divisor of 721615440 and 14.
14
What is the highest common divisor of 552240 and 31065840?
9360
What is the highest common divisor of 1297210 and 105850?
730
Calculate the greatest common divisor of 16169653 and 2569.
367
What is the greatest common divisor of 288 and 5041304?
8
What is the greatest common divisor of 285 and 389767710?
285
What is the highest common factor of 103212 and 1592172?
1692
Calculate the highest common divisor of 54540 and 2133423.
909
What is the great
|
{
"pile_set_name": "DM Mathematics"
}
|
bigger: -1 or 16/1007419?
16/1007419
Which is smaller: 1299943 or 9099603/7?
1299943
Is 5224148 at least as big as 5224146?
True
Which is smaller: -1 or 8/8156491?
-1
Is 82848242 less than or equal to 82848244?
True
Which is bigger: -70719508 or -70719512?
-70719508
Is -6005517/5 at least -1201103?
False
Which is greater: -3/5696095 or 1?
1
Is 1 greater than 209919?
False
Is -27223056 less than or equal to -27223058?
False
Is 2/316487873 > 0?
True
Which is greater: 264173 or 264271?
264271
Do -69944 and -68484 have the same value?
False
Is 44617613 greater than or equal to 44617613?
True
Is 1182488 at most 13007374/11?
True
Is -295/6 at most as big as -0.08329?
True
Is 1291704 equal to 1291619?
False
Which is smaller: -31719 or -31509?
-31719
Is 301756874 less than or equal to 301756870?
False
Is -1 < -16/279563?
True
Do -14564 and -2.1 have the same value?
False
Is 24580091 >= 24580091?
True
Which is greater: -36715 or -37451?
-36715
Is -9132 < -5841?
True
Is -3/204097480 less than -1?
False
Do 19/4 and 19639496 have the same value?
False
Which is smaller: -370193 or -9254832/25?
-9254832/25
Which is bigger: -4/39 or 106630?
106630
Which is smaller: 508/5391 or 1/5?
508/5391
Which is smaller: 75977 or 74081?
74081
Is -1/100643848 at least -1?
True
Is 2701019 not equal to 2701017?
True
Are 1.4 and 35.5724 equal?
False
Are 2875995/92 and 31262 nonequal?
True
Which is smaller: 141/1661539 or 1?
141/1661539
Is -46404 equal to -7.5?
False
Is 38/179 <= 3/7?
True
Which is bigger: 44.06 or 0.3361?
44.06
Is -0.0703 smaller than -13/1777?
True
Is -353788/19 > -18619?
False
Which is smaller: 873401 or 873393?
873393
Is 19 bigger than 4270/233?
True
Which is greater: -3/704569934 or -1?
-3/704569934
Which is smaller: 28717 or 28796?
28717
Is 857 > 3778.2?
False
Is 0.0572 at least as big as -1.6736?
True
Is 5019418 less than 5019421?
True
Do -50567 and -50145 have the same value?
False
Which is smaller: 58/9 or -18773?
-18773
Is -51404/4653 > -11?
False
Which is smaller: 0 or -11/2398353?
-11/2398353
Which is bigger: 120 or -155547?
120
Which is smaller: -203468613 or -203468609?
-203468613
Is 1 <= -5699/89662?
False
Which is smaller: 0.2 or -541.3338?
-541.3338
Is 8292703 at most as big as 8292705?
True
Which is smaller: -125739/2 or 1/301?
-125739/2
Are -4211617 and 1.07 equal?
False
Is 165673 less than or equal to 166000?
True
Which is smaller: 0.2 or -3241341?
-3241341
Which is greater: -4/46875131 or -1?
-4/46875131
Which is bigger: 1.13 or 37513?
37513
Which is greater: 7679964/25 or 307199?
307199
Are -391 and 977 nonequal?
True
Is -4/9 equal to -1328518?
False
Which is bigger: -1/40 or 0.0035827?
0.0035827
Which is bigger: -3993 or -10629?
-3993
Is -267057 < -267121?
False
Is 9392927 greater than or equal to -1?
True
Which is smaller: 50148236 or 50148235?
50148235
Which is greater: -29543512/23 or -1284500?
-1284500
Is -124133/149 smaller than -832?
True
Is 3 >= -15714.45?
True
Which is bigger: 0 or 35/5923168?
35/5923168
Is 110053 at most -3/137?
False
Is 1262680 equal to 1262707?
False
Is -1203392/209 <= -5759?
False
Are 3396172 and 3396183 equal?
False
Is 95125 less than or equal to 100073?
True
Which is greater: -190.8 or -17584?
-190.8
Which is smaller: 6671378 or 1?
1
Which is smaller: 331475 or 28506855/86?
331475
Is 139402146 != 139402147?
True
Which is bigger: -55788112/11 or -5071647?
-55788112/11
Is -7046209/8 at least -880777?
True
Is -1 bigger than 641/4504?
False
Which is greater: -22 or 3605939?
3605939
Is 617720 < 616696?
False
Which is smaller: 4/10863 or 0.702?
4/10863
Do 961408 and 13459709/14 have the same value?
False
Is -8/808897 bigger than -27?
True
Which is bigger: 668795 or 566?
668795
Which is smaller: 311912 or 21?
21
Which is greater: 56114 or 56152?
56152
Is 1108/201 smaller than 59?
True
Is 313783241 bigger than 313783243?
False
Is -135993103 less than -135993102?
True
Is 2312460424 at most 2312460423?
False
Which is greater: 7416 or 4931?
7416
Which is greater: -26729099/5 or -5345819?
-5345819
Is -77/1878 equal to -14.7?
False
Is -11723876 greater than or equal to -11723876?
True
Is -39/150461 < 0?
True
Is 35440978 smaller than 35440979?
True
Is -82609457 equal to -82609459?
False
Is -16 equal to -17968/1145?
False
Is 145946270 less than 145946271?
True
Which is greater: 0.316 or 40.274?
40.274
Is 0 less than 46/2012917?
True
Which is smaller: 1132 or 0.001255?
0.001255
Which is bigger: -216283124 or 6?
6
Which is smaller: 23 or 61199?
23
Is -3 at least as big as -45378294?
True
Which is bigger: -13300348 or -13300343?
-13300343
Which is smaller: 23685477 or 23685480?
23685477
Which is bigger: 11 or 15793.9?
15793.9
Is -1 at least as big as 24/118057?
False
Is 11028081 at least 99252724/9?
True
Which is greater: 2.014554 or -14?
2.014554
Which is bigger: 54/1093651 or 1?
1
Is -333230/9879 smaller than -34?
False
Is 217 greater than 12169/56?
False
Which is smaller: -190200 or -2852981/15?
-190200
Which is bigger: 14958672 or 14958668?
14958672
Are 4590 and -4165 equal?
False
Is -12437794/19 <= -654621?
False
Is 1489638 greater than or equal to 1489646?
False
Which is greater: -7150 or -49242?
-7150
Is -1/6 > 24683.846?
False
Which is bigger: 84527343 or 422636712/5?
84527343
Is -0.2 less than or equal to 86629301?
True
Is -96934 less than or equal to 301?
True
Which is smaller: 65 or 12231.01?
65
Is -34847854 at least -34847855?
True
Are -821156 and -821157 non-equal?
True
Is 2014611/2 less than 1007305?
False
Is -554682439 at most as big as -554682439?
True
Is 32697 bigger than 32689?
True
Is -87670139 != -87670140?
True
Is -2811450 equal to -2811444?
False
Which is greater: -290183112/5 or -58036622?
-58036622
Is -3653/228222 > -1?
True
Which is smaller: -58/2087695 or 1?
-58/2087695
Is -3558962 != -3558961?
True
Is -8047 <= -6555?
True
Is -837090 < -9207982/11?
True
Is 2/94168033 greater than or equal to 0?
True
Is 51 greater than or equal to -6/36365?
True
Which is bigger: -0.2 or 71060610?
71060610
Which is smaller: 589/354 or 0.105?
0.105
Which is smaller: 19461443 or 214075878/11?
19461443
Which is bigger: 6661/4 or -14524?
6661/4
Are -2/173 and 14197 nonequal?
True
Is 1/22316382 greater than -1?
True
Is 34 less than or equal to 519?
True
Is 32895.03 >= -81?
True
Which is bigger: -5459 or 31672?
31672
Is 11726 <= 13092?
True
Is 141641 smaller than 141643?
True
Which is bigger: 55003/33264 or 2?
2
Is -220/8355343 greater than -1?
True
Which is bigger: 130 or 0.1561064?
130
Is 46880145 at least as big as 46880139?
True
Is -3 at most as big as 73105546?
True
Which is bigger: 3931962 or 3931923?
3931962
Is 2341072 bigger than 39798246/17?
False
Does 3147/172 = 4?
False
Is -2 > -10322/11751?
False
Are 1 and -7057862 nonequal?
True
Which is bigger: 720/1124377 or 0?
720/1124377
Is 139/182 <= -403/2?
False
Which is smaller: -687393 or -687390?
-687393
Do -56290972 and -56290981 have the same value?
False
Which is bigger: 139449 or 137275?
139449
Do 1 and 6/25446853 have the same value?
False
Is 1410 at least as big as -23443?
True
Is -7/4143128 at least 1?
False
Which is greater: 13629710 or 13629708?
13629710
Do -3/19882468 and 0 have the same value?
False
Is -56197/12013 at most -6?
False
Which is smaller: 11/105713 or 9?
11/105713
Are -147 and -119055/803 non-equal?
True
Do -77393 and -4512 have the same value?
False
Is 2691981 greater than or equal to 2691969?
True
Is 1 not equal to -8273/23041?
True
Is 139/110 not equal to -23.82?
True
Is 35374280 less than 0.1?
False
Is -6785307 >= -6785210?
False
Do 72962525 and 72962526 have the same value?
False
Is 109 != 42422?
True
Which is smaller: 91 or -30?
-30
Is 1 at least as big as 2/759249777?
True
Is 0 > -2.355116?
True
Is 1737186 < 1737192?
True
Which is bigger: 10608977 or 10608979?
10608979
Which is smaller: 1 or 60433.47?
1
Are -366722 and 384 equal?
False
Is 2.951 at most 8967?
True
Is 33 equal to 178248/5449?
False
Are -2717 and -3312 non-equal?
True
Which is bigger: -10149 or -10192?
-10149
Which is bigger: 119402210/41 or 2912249?
119402210/41
Is 1409/16519 less than 0?
False
Are 882/19927 and 0 nonequal?
True
Which is smaller: 30559260 or 30559258?
30559258
Which is smaller: -27594 or -31930?
-31930
Which is greater: 3/41019584 or 0?
3/41019584
Is
|
{
"pile_set_name": "DM Mathematics"
}
|
5/48 and -143/264816.
264816
Calculate the least common multiple of 139392 and 16896.
557568
What is the common denominator of 93/1156 and -107/2890?
5780
What is the common denominator of 65/32248 and 67/290?
161240
Calculate the least common multiple of 249 and 20999.
62997
What is the least common multiple of 1542 and 38046?
9777822
Find the common denominator of 79/783068 and -63/925444.
10179884
Calculate the least common multiple of 2950 and 2419.
120950
Calculate the common denominator of -61/7392 and 19/5376.
59136
Calculate the least common multiple of 7106 and 304.
56848
Calculate the least common multiple of 5358 and 3252.
2904036
What is the lowest common multiple of 228586 and 49424?
1828688
What is the common denominator of -97/132 and 62/597?
26268
Calculate the common denominator of -43/150462 and -74/3.
150462
Calculate the common denominator of -47/30 and -71/1248.
6240
What is the lowest common multiple of 18 and 283488?
850464
Find the common denominator of 173/4560 and 55/2394.
95760
Calculate the lowest common multiple of 1006 and 434.
218302
Calculate the lowest common multiple of 147565 and 20.
590260
Find the common denominator of 45/228994 and 43/488.
915976
What is the least common multiple of 2433 and 199?
484167
Calculate the lowest common multiple of 196350 and 3927.
196350
Calculate the smallest common multiple of 120 and 10176.
50880
Calculate the common denominator of 83/12376 and -95/162656.
1138592
What is the common denominator of 145/136056 and 22/357147?
2857176
Find the common denominator of -9/218 and 32/285.
62130
What is the common denominator of -85/89502 and -62/74585?
447510
What is the lowest common multiple of 10 and 78450?
78450
What is the smallest common multiple of 1008 and 732?
61488
What is the lowest common multiple of 46 and 1932?
1932
Calculate the least common multiple of 560 and 157160.
2200240
What is the smallest common multiple of 16398 and 27?
49194
Find the common denominator of 8/3059 and -27/329.
143773
Calculate the smallest common multiple of 48 and 2326.
55824
Calculate the common denominator of -1/6655 and 38/33275.
33275
Calculate the least common multiple of 5896 and 41272.
41272
Calculate the common denominator of -127/12 and 91/2493418.
14960508
What is the common denominator of -61/5360 and -74/15?
16080
Find the common denominator of -36/1847225 and -76/2775.
5541675
Find the common denominator of 41/5929 and -37/273.
231231
What is the common denominator of -13/12730 and -69/1876?
178220
What is the lowest common multiple of 160 and 2381536?
11907680
What is the common denominator of -43/176528 and 37/6?
529584
What is the smallest common multiple of 15 and 417?
2085
Find the common denominator of -47/4144 and -37/1120.
41440
Calculate the least common multiple of 2520 and 168.
2520
Calculate the lowest common multiple of 4466 and 1914.
13398
Calculate the common denominator of 101/180 and -73/5668.
255060
Calculate the smallest common multiple of 792 and 872960.
7856640
Find the common denominator of -99/16 and -93/92588.
370352
Find the common denominator of 9/145 and -18/8785.
254765
Calculate the least common multiple of 65744 and 18784.
131488
What is the common denominator of -11/3318 and 97/93062?
1954302
What is the least common multiple of 35 and 3059?
15295
Find the common denominator of 49/6450 and -109/42570.
212850
What is the smallest common multiple of 224782 and 5?
1123910
What is the least common multiple of 5893 and 33?
194469
Calculate the common denominator of 67/15645 and 79/1423695.
1423695
Find the common denominator of -35/18 and -8/955695.
5734170
Calculate the smallest common multiple of 20952 and 21.
146664
What is the smallest common multiple of 10640 and 18620?
74480
What is the common denominator of 55/67277 and 47/22?
1480094
What is the least common multiple of 1265220 and 105435?
1265220
Calculate the common denominator of -43/14461 and -41/28.
404908
Find the common denominator of 179/5130 and 49/2.
5130
What is the least common multiple of 1560 and 89960?
269880
Find the common denominator of 41/7946 and -19/17690.
2423530
Calculate the common denominator of -83/170 and -77/166190.
2825230
Calculate the least common multiple of 134892 and 22482.
134892
What is the least common multiple of 89652 and 14?
627564
What is the common denominator of -137/490 and 111/32200?
225400
What is the lowest common multiple of 18 and 194412?
583236
What is the smallest common multiple of 287 and 28413?
28413
Calculate the least common multiple of 24050 and 7215.
72150
What is the common denominator of 79/1816 and 53/43812?
19890648
Calculate the least common multiple of 156870 and 9.
156870
Calculate the lowest common multiple of 846 and 1029.
290178
What is the lowest common multiple of 48 and 1602?
12816
What is the common denominator of -31/63885 and 47/8?
511080
What is the common denominator of 103/530860 and 29/6?
1592580
What is the lowest common multiple of 2545 and 70?
35630
Calculate the common denominator of -27/22451 and -18/5.
112255
Find the common denominator of -67/118864 and -3/112.
832048
Calculate the lowest common multiple of 2 and 16492.
16492
What is the smallest common multiple of 6579 and 52632?
52632
What is the common denominator of -41/25452 and 31/606?
25452
What is the smallest common multiple of 507 and 3549?
3549
What is the least common multiple of 99 and 594?
594
Calculate the lowest common multiple of 4 and 19076.
19076
What is the lowest common multiple of 8 and 694?
2776
What is the common denominator of 25/657 and -29/144?
10512
What is the common denominator of -1/382 and -29/561922?
561922
Calculate the common denominator of -37/43 and -85/63812.
63812
Calculate the smallest common multiple of 172 and 24080.
24080
Calculate the common denominator of -95/1223026 and 73/63.
11007234
What is the lowest common multiple of 30 and 293720?
881160
Find the common denominator of 29/245256 and -79/286132.
1716792
Find the common denominator of 19/238 and -67/4606.
78302
What is the least common multiple of 1702 and 188?
159988
Find the common denominator of 83/90 and 31/4660.
41940
What is the lowest common multiple of 13750 and 5115?
1278750
Find the common denominator of 77/208 and -107/125300.
6515600
What is the least common multiple of 10381 and 7415?
51905
Find the common denominator of 101/150098 and -85/52208.
1200784
Calculate the lowest common multiple of 2160 and 486.
19440
What is the smallest common multiple of 63056 and 116?
1828624
What is the least common multiple of 14 and 1126778?
7887446
Find the common denominator of 34/9 and -44/52779.
158337
Find the common denominator of 67/195 and -76/3303.
214695
Find the common denominator of -87/10880 and 39/3920.
533120
Find the common denominator of -1/47216 and 45/11804.
47216
What is the lowest common multiple of 161192 and 72?
1450728
What is the smallest common multiple of 12620 and 460?
290260
Calculate the least common multiple of 344 and 124528.
124528
Calculate the smallest common multiple of 500 and 113400.
567000
Calculate the lowest common multiple of 82500 and 176.
330000
Calculate the smallest common multiple of 3738 and 468852.
3281964
Calculate the common denominator of 149/301032 and 101/8436.
5719608
Calculate the smallest common multiple of 15250 and 634.
4834250
Calculate the common denominator of -75/29512 and -93/854.
1800232
What is the common denominator of 85/383232 and -3/15968?
383232
What is the lowest common multiple of 1702 and 38272?
1416064
Calculate the common denominator of -7/46370 and -1/125199.
1251990
Calculate the common denominator of -47/890 and -57/22.
9790
What is the least common multiple of 730 and 230?
16790
What is the common denominator of 99/17162 and -119/20?
171620
What is the common denominator of -111/9700 and 163/512160?
2560800
What is the common denominator of -27/5375 and 18/2365?
59125
Calculate the common denominator of -107/1019278 and -115/78.
3057834
What is the common denominator of 38/215 and -8/46225?
46225
What is the common denominator of 24/329 and -97/12690?
88830
Calculate the lowest common multiple of 111122 and 212142.
2333562
What is the common denominator of 61/3726 and -113/11178?
11
|
{
"pile_set_name": "DM Mathematics"
}
|
t. Put t, 4, n in descending order.
4, t, n
Suppose -109*a = 44*a - 7038. Sort a, -2, -3, 2 in increasing order.
-3, -2, 2, a
Let q = 15171.78 - 15172. Put q, 0.1, -1/3, -5 in decreasing order.
0.1, q, -1/3, -5
Let j = -4866 + 4868. Sort 14, j, 161 in ascending order.
j, 14, 161
Let j(h) = -4*h + 1. Let r be j(1). Suppose 353*n + 395 - 42 = 0. Put n, 4, r, 0 in decreasing order.
4, 0, n, r
Let u be 1/(1/(-9)) - 4/12*-29. Let o = 0.2 - 0.3. Let s = o - 0.9. Sort s, 7, u in descending order.
7, u, s
Let y be 17*((-12)/414)/(-2) + 4/46. Sort 416, y, -1/25, 3.
-1/25, y, 3, 416
Let g = -96 + 137. Let b = g + -44. Sort 2/13, b, -39 in decreasing order.
2/13, b, -39
Suppose 32 = -389*c + 397*c. Let z be 1 + -3*20/(-6). Let i = -1796 + 1793. Sort z, c, i, -1 in ascending order.
i, -1, c, z
Let i = 5222277/21272 + -1/21272. Let s = i + -245. Sort -54, s, 2/3, 1 in descending order.
1, 2/3, s, -54
Let g = 6.3 + -6. Let r = 0.01253 + -1.01253. Sort -0.4, g, r, 0 in ascending order.
r, -0.4, 0, g
Let i be (-21)/(-66)*(-24)/(-42). Let h = 1234/3 + -412. Sort -3, h, -0.1, i.
-3, h, -0.1, i
Let y(q) = -2*q**3 - 15*q**2 - 6*q + 12. Let c be y(-7). Sort -5, -2, 2, -44, c in decreasing order.
c, 2, -2, -5, -44
Let s = -21.9 - -24.9. Let r be ((-22)/(-16) - 2)/(34/(-136)). Sort s, r, -1.
-1, r, s
Suppose 6*m - 1080 = -2*m + 1800. Put -5/2, m, 0.3 in ascending order.
-5/2, 0.3, m
Let z be (-12)/(-54) - 4/((-252)/(-455)). Sort z, -2, -3, 5, 4.
z, -3, -2, 4, 5
Let b = -3054 + 3072. Suppose 4*p = 4*q + 8, -p + 10 - 2 = 2*q. Sort p, 0, b.
0, p, b
Suppose c + 3*c - 4 = 0. Let j be 4/c + (-8 - (-119)/35). Sort 6, j, 3 in decreasing order.
6, 3, j
Let m = 1.82 - 17.92. Let p = 1.8 + m. Let r = p + 10.3. Sort -1, r, 5 in descending order.
5, -1, r
Let f = -10387/3 - -3462. Sort 0, f, -6, -0.04 in decreasing order.
0, -0.04, f, -6
Let g = 38 + -35.7. Let x = g + -1.8. Let q = -1.23 + 1.03. Put x, -2/3, q, -3/5 in descending order.
x, q, -3/5, -2/3
Let i(z) = z**3 + 4*z**2 - 18*z - 17. Let k be i(-6). Sort 29, -2, k in descending order.
29, k, -2
Suppose x = -3*k - 16, k = -3*x + 2 - 10. Let g(m) = -538*m + 7047. Let v be g(13). Sort 4, x, v in descending order.
v, 4, x
Let y(b) = -8*b - 46. Let j be y(-5). Let n(x) = -3*x**3 - 17*x**2 + 10*x - 10. Let k be n(j). Sort 3, 8, k in ascending order.
k, 3, 8
Let a(i) = i - 16. Let p be a(12). Let d(x) = 3*x + 33. Let h be d(-11). Let k be (p - 1 - h)/(-1). Put k, -4, -23 in decreasing order.
k, -4, -23
Suppose -36*v + s - 1032 = -31*v, -2*s + 4 = 0. Let g = -205 - v. Sort 3, g, 35.
g, 3, 35
Let c = 100877/80708 - -2/20177. Sort -6, c, 0.03.
-6, 0.03, c
Let t(o) = -o**3 + o**2 + 5*o - 400. Let x be t(0). Let p = x - -398. Let u(a) = a**3 + 8*a**2 + 6*a - 6. Let b be u(-7). Put b, 4, 14, p in ascending order.
p, b, 4, 14
Suppose 5*l + 3*h - 9 = 0, -201*l - 15 = -202*l - 5*h. Sort -5, -1, -4, l, 2.
-5, -4, -1, l, 2
Let s(t) = 3*t**2 - 209*t + 410. Let f be s(2). Put -4, 103, -1, -5, f in decreasing order.
103, f, -1, -4, -5
Suppose -24 = -2*t - t - k, 3*t + 3*k = 24. Suppose -t*c - 3*c = -c. Sort c, 5, -1, -4.
-4, -1, c, 5
Let r = 37937 + -37943. Sort 5, r, 3, -0.075 in increasing order.
r, -0.075, 3, 5
Let i = -14861 - -14859. Let k = -1 + 1.5. Sort 1, i, 0.3, k in decreasing order.
1, k, 0.3, i
Let f be 147/(-98)*12/(-45). Put 5, -3, 3, f, 0.25 in ascending order.
-3, 0.25, f, 3, 5
Suppose -7 = 3*n - 4*n. Let p be ((50/75)/((-10)/(-6)))/3. Sort p, -1/6, n in descending order.
n, p, -1/6
Suppose -3*u + 15 = -8*u. Let y(g) = 2*g**2 - 15*g - 52. Suppose 0 = -4*d + 49 - 37, 0 = -2*m + 2*d - 12. Let h be y(m). Sort h, u, 4 in decreasing order.
h, 4, u
Let s = -10790 + 10944. Sort 3, s, -3 in ascending order.
-3, 3, s
Let t be (-117)/(-156)*((-640)/(-15))/(-4). Let i = -3 + 3. Put 5, t, i, 4 in descending order.
5, 4, i, t
Suppose -15*m + 576 = -99. Let q be (10/m)/((-89)/18 - -5). Put q, 1/2, 5, -202 in decreasing order.
5, q, 1/2, -202
Let k(w) = -13*w - 22. Let n(f) = 24*f + 43. Let b(s) = -10*k(s) - 6*n(s). Let o be b(-3). Suppose 0 = 9*y - 11*y. Sort 2, o, -2, y in decreasing order.
o, 2, y, -2
Let a be -36 + 41 + (-3 - 0). Sort 6, -2, a, -6.
-6, -2, a, 6
Let t = 30.151 - 0.151. Let i = -16 + 11. Sort -0.5, t, i in descending order.
t, -0.5, i
Suppose -266*u = -40*u - 2080*u + 6449 - 887. Suppose -3*v + 0*v = -3. Sort v, u, -181 in decreasing order.
u, v, -181
Let t be 0*(-1)/6*-1. Suppose 3*b = -t*b - 12. Put -0.2, 0, -3/5, b in increasing order.
b, -3/5, -0.2, 0
Let w = -46 - -66. Let c = 19.5 - w. Let v = -2404 + 2401. Put 0.8, c, 0.2, v in increasing order.
v, c, 0.2, 0.8
Let q = 0.09 - 8.09. Suppose -16 = -4*l, -2*l + 3 = 5*k - 25. Let i = 136 + -136. Sort k, i, q in decreasing order.
k, i, q
Let g = 3475 + -3470. Put g, -1557, 2, 3/2 in decreasing order.
g, 2, 3/2, -1557
Let v = 0.2353 - -7.7647. Let u = 2.1 + -0.1. Sort v, 5, u, 1 in decreasing order.
v, 5, u, 1
Let u = 11610 - 11573. Let w = -6.3 + 1.3. Put u, -0.2, w in ascending order.
w, -0.2, u
Let b be -10*(-130)/120 + (-10)/4. Sort -2/5, 9, -0.3, b.
-2/5, -0.3, b, 9
Suppose -j + 21 = -m - 130, -3*j + 449 = -5*m. Let p = 155 - j. Sort -18, -1, p in ascending order.
-18, -1, p
Let l be (-18)/8 + 38/152. Suppose 18 + 7 = 5*c. Let w(g) = -6*g + 4. Let v be w(c). Sort l, v, 5, 2/3.
v, l, 2/3, 5
Let d = 0 + 13. Let w = 46728 + -46730. Sort w, -16, d.
-16, w, d
Let f = -7 + 6.98. Let x be (-24)/(20 - -4)*17. Sort x, 0.2, f, -1/5.
x, -1/5, f, 0.2
Let l = -14.73 - -93.73. Sort -4, 1, 2/7, l in decreasing order.
l, 1, 2/7, -4
Let d = 103 - 97. Suppose 0 = -d*o - 57 + 81. Sort 8, 5, o, -1 in decreasing order.
8, 5, o, -1
Let j(u) = u**3 + 7*u**2 + 7*u + 5. Let c be j(-6). Let i = -3 - -2.9. Let z = 0.14198 + 2.85802. Put i, z, 1/2, c in increasing order.
c, i, 1/2, z
Let g(n) = 88*n - 1567. Let j be g(12). Put -1/6, -2/17, j, 2/5, 2 in decreasing order.
2, 2/5, -2/17, -1/6, j
Let n = 19942/3 - 6648. Put -0.8, -7/29, n in ascending order.
-0.8, n, -7/29
Let w = -384 + 2685/7. Suppose -3*x - 4*d = d + 13, -2*d = -4*x. Put x, w, -4.7 in descending order.
w, x, -4.7
Let y = -5837 + 46699/8. Put -6/13, y, -2/25, -2, 3 in decreasing order.
3, y, -2/25, -6/13, -2
Let r be (4/2)/(5 - 3). Let u(f) = f. Let q be u(5). Let d = 70 - 68. Sort -5, d, q, r in ascending order.
-5, r, d, q
Suppose -3 = -5*s + 22. Let t be s - (-7 + 1 + (-4532)/(-396)). Let j(x) = -x**3 + 5*x**2 + x - 3. Let w be j(5). Sort t, 1/5, w in descending order.
w, 1/5, t
Suppose -299*p + 301*p - 70 = 0. Put 0.19, p, -3 in descending order.
p, 0.19, -3
Let q be (48/(-32))/(35/14). Let k = 1.3 - 0.8. Sort k, -4, q, 3/4 in ascending order.
-4, q, k, 3/4
Suppose 0 = -c - 2*c. Let r(i) = -i**2 - 18*i - 7. Suppose -6*h + 7*h = -18. Let l be r(h). Sort c, -4, l in descending order.
c, -4, l
Let u be (-2)/(-10) - 1120/1650. Let f = -4/33 + u. Let b be (25/(-5) - -1)/(-22). Put 2/9, f, b in descending order.
2/9, b, f
Suppose 12288 = 574*q + 30853 + 35965. Sort 3/2, q, -6/11, -1/4.
q, -6/11, -1/4, 3/2
Suppose 4*x - 4*n = 16, 0*x = -x - 3*n + 8. Suppose -x*h + 15 = -5*t, 6*h = 3*h. Let m be 2 + (3 - 8) - 12/(-2). Put m, t, 2 in descending order.
m, 2, t
Suppose 0 = 5*p - 4*n + 160, 461*p - 456*p + 160 = -2*n. Sort 5, p, -3, -5, 1 in descending order.
5, 1, -3, -5, p
Let f(t) = -5*t**2 - 19*t - 13. Let n be f(-2). Put 19, -14, n, 2 in ascending order.
-14, 2, n, 19
Let i = -0.1716 - -0.1726. Sort -0.4, 5, 1/12, i in decreasing order.
5, 1/12, i, -0.4
Suppose 3*o + 0*f = -f + 44, -5*o + 70 = f. Let q = o + -11. Let r(x) = -x**2 + 12*x + 10. Let s be r(13). Sort q, s, -5, 1 in increasing order.
-5, s, 1, q
Let q = 10300 - 10297. Suppose 2*h + 2*y = 7*y + 37, 61 = 5*h - 2*y. Sort 1, h, q.
1, q, h
Let l = 10 - 10. Let c = -8115 + 24347/3. Let d = -94 + 1032/11. Sort l, d, c in decreasing order.
c, l, d
Let d = -90 + 91. Let n be (-3 - -3) + (-6)/6 + -9. Sort 2, n, 4, d.
n, d, 2, 4
Let g = -0.1 + -0.9. Let v be -1 - -1*(-69)/60*342. Let o = v + 394. Sort o, g, 5, 1/5 in ascending order.
g, o, 1/5, 5
Let o = -0.31347 + 5.11347. Sort -22, o, 0.5, -1.
-22, -1, 0.5, o
Suppose -2 - 1 = 3*t. Suppose 119*f - 9006 = 5*f. Sort f, 2, t in descending order.
f, 2, t
Let f be ((-4)/(-14))/((-8)/112). Let p be (19 + f)/(-5)*-1. Put 2, 5, p in
|
{
"pile_set_name": "DM Mathematics"
}
|
he remainder when 5402401 is divided by 1040?
641
What is the remainder when 111207990 is divided by 842?
840
Calculate the remainder when 980588 is divided by 89.
75
What is the remainder when 88339646 is divided by 42?
38
Calculate the remainder when 81249 is divided by 81188.
61
What is the remainder when 8690118 is divided by 99?
96
What is the remainder when 270300 is divided by 135134?
32
What is the remainder when 16647935 is divided by 757?
748
Calculate the remainder when 244769 is divided by 11109.
371
What is the remainder when 8928970 is divided by 4816?
106
What is the remainder when 386247 is divided by 96560?
7
What is the remainder when 66987 is divided by 16702?
179
What is the remainder when 5964759 is divided by 74?
63
Calculate the remainder when 19094 is divided by 2515.
1489
Calculate the remainder when 49293 is divided by 800.
493
What is the remainder when 2883002 is divided by 415?
412
Calculate the remainder when 176602977 is divided by 2621.
2618
Calculate the remainder when 85174916 is divided by 2937066.
2
What is the remainder when 362235 is divided by 331?
121
Calculate the remainder when 1354434 is divided by 4181.
3971
Calculate the remainder when 12084483 is divided by 561.
543
Calculate the remainder when 6788738 is divided by 1131455.
8
Calculate the remainder when 75411 is divided by 1306.
969
What is the remainder when 60128 is divided by 3563?
3120
What is the remainder when 8729010 is divided by 2463?
138
Calculate the remainder when 11181358 is divided by 860102.
32
Calculate the remainder when 164973 is divided by 2620.
2533
Calculate the remainder when 761075 is divided by 761013.
62
What is the remainder when 88080 is divided by 11383?
8399
Calculate the remainder when 13065697 is divided by 33.
7
Calculate the remainder when 8606712 is divided by 5.
2
What is the remainder when 5569591 is divided by 1113909?
46
Calculate the remainder when 2355527 is divided by 42.
41
Calculate the remainder when 396903 is divided by 198357.
189
Calculate the remainder when 291147 is divided by 257.
223
What is the remainder when 151458 is divided by 75594?
270
What is the remainder when 101576858 is divided by 20?
18
What is the remainder when 395707 is divided by 15826?
57
What is the remainder when 1012268 is divided by 36?
20
Calculate the remainder when 2246796 is divided by 2246772.
24
Calculate the remainder when 480458 is divided by 1674.
20
Calculate the remainder when 12313906 is divided by 769617.
34
What is the remainder when 556536249 is divided by 3?
0
Calculate the remainder when 165777 is divided by 819.
339
What is the remainder when 2014137 is divided by 5855?
17
Calculate the remainder when 303932 is divided by 219.
179
Calculate the remainder when 1412329 is divided by 29417.
313
Calculate the remainder when 3079695 is divided by 1026555.
30
What is the remainder when 3994580 is divided by 693?
128
Calculate the remainder when 5558 is divided by 2140.
1278
Calculate the remainder when 117639 is divided by 291.
75
Calculate the remainder when 731881 is divided by 2158.
319
What is the remainder when 1092075 is divided by 18?
15
What is the remainder when 18608922 is divided by 3721709?
377
Calculate the remainder when 97577 is divided by 79.
12
Calculate the remainder when 597042 is divided by 149.
148
What is the remainder when 1000113045 is divided by 4968?
4965
What is the remainder when 1020823 is divided by 1760?
23
Calculate the remainder when 1350435 is divided by 270078.
45
What is the remainder when 3065 is divided by 109?
13
Calculate the remainder when 47649187 is divided by 72.
19
Calculate the remainder when 10310316 is divided by 859190.
36
Calculate the remainder when 734329 is divided by 91762.
233
What is the remainder when 7064000 is divided by 2354659?
23
What is the remainder when 449085 is divided by 89816?
5
Calculate the remainder when 224591 is divided by 17270.
81
Calculate the remainder when 1044639 is divided by 26.
11
What is the remainder when 18508399 is divided by 326?
75
Calculate the remainder when 381757 is divided by 862.
753
What is the remainder when 4095935 is divided by 43?
13
What is the remainder when 6212631 is divided by 3106309?
13
Calculate the remainder when 24569 is divided by 3620.
2849
Calculate the remainder when 5551 is divided by 996.
571
Calculate the remainder when 1006962 is divided by 100673.
232
What is the remainder when 107349 is divided by 562?
7
What is the remainder when 240180 is divided by 29892?
1044
Calculate the remainder when 9227235 is divided by 58399.
193
Calculate the remainder when 281774 is divided by 10436.
2
Calculate the remainder when 2671555 is divided by 69.
13
What is the remainder when 1705819 is divided by 84?
31
Calculate the remainder when 160294 is divided by 31826.
1164
Calculate the remainder when 63911 is divided by 8922.
1457
What is the remainder when 1476843 is divided by 2413?
87
Calculate the remainder when 555121 is divided by 2656.
17
What is the remainder when 33815 is divided by 4120?
855
Calculate the remainder when 28111581 is divided by 206.
203
Calculate the remainder when 45675 is divided by 2195.
1775
What is the remainder when 4671164 is divided by 5913?
5807
What is the remainder when 26022616 is divided by 579?
40
What is the remainder when 7670025 is divided by 77475?
0
What is the remainder when 16087648 is divided by 679?
101
Calculate the remainder when 160514 is divided by 22919.
81
Calculate the remainder when 3384459 is divided by 87.
72
What is the remainder when 76472824 is divided by 92?
32
What is the remainder when 34711741 is divided by 159?
133
Calculate the remainder when 1402410 is divided by 225.
210
Calculate the remainder when 3694376 is divided by 7827.
32
Calculate the remainder when 4092785 is divided by 83526.
11
What is the remainder when 4754990 is divided by 93?
86
What is the remainder when 281904 is divided by 35216?
176
What is the remainder when 410562 is divided by 136811?
129
What is the remainder when 7307392 is divided by 1077?
1024
What is the remainder when 3026774 is divided by 466?
104
What is the remainder when 1431990 is divided by 715440?
1110
Calculate the remainder when 108613789 is divided by 4980.
4969
What is the remainder when 235381 is divided by 7142?
6837
Calculate the remainder when 541840 is divided by 60203.
13
Calculate the remainder when 8473933 is divided by 368431.
20
What is the remainder when 4111309 is divided by 146832?
13
Calculate the remainder when 12002724 is divided by 122.
120
Calculate the remainder when 803641 is divided by 4595.
4111
What is the remainder when 13471213 is divided by 157?
142
What is the remainder when 23476533 is divided by 116?
105
Calculate the remainder when 1322239 is divided by 189.
184
What is the remainder when 351158 is divided by 61?
42
What is the remainder when 7496833 is divided by 591?
589
Calculate the remainder when 99676353 is divided by 109.
104
Calculate the remainder when 266337 is divided by 33218.
593
Calculate the remainder when 421394 is divided by 3796.
38
Calculate the remainder when 495799 is divided by 495783.
16
What is the remainder when 3261008 is divided by 6394?
68
Calculate the remainder when 2071959 is divided by 1931.
1927
Calculate the remainder when 54465655 is divided by 1479.
1
What is the remainder when 8702573 is divided by 1623?
47
What is the remainder when 142173 is divided by 141963?
210
What is the remainder when 1285190 is divided by 1823?
1798
Calculate the remainder when 175892 is divided by 3954.
1916
Calculate the remainder when 1481574 is divided by 5467.
17
What is the remainder when 14134609 is divided by 5?
4
Calculate the remainder when 3717061 is divided by 497.
495
Calculate the remainder when 607066 is divided by 1108.
990
Calculate the remainder when 25992647 is divided by 296.
295
Calculate the remainder when 5303 is divided by 14.
11
What is the remainder when 1410654 is divided by 705263?
128
Calculate the remainder when 54648417 is divided by 273242.
17
Calculate the remainder when 255230 is divided by 1994.
1992
Calculate the remainder when 430854 is divided by 14855.
59
What is the remainder when 4905975 is divided by 287?
284
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
17 = 0 for t.
-1
Solve 21 = c + 4*s, -2*c + 2 = 2*s - 16 for c.
5
Solve 5*m - 11 - 4 = 0, -5*m = 5*r - 30 for r.
3
Solve 3*h = -3*q + 2*h - 14, -q - 3*h - 18 = 0 for q.
-3
Solve -y + 4*c - 20 = 0, 5*c = -y - 1 + 17 for y.
-4
Solve -4*y = -2*x - 12, -4*x - 3*y - 3 = -23 for x.
2
Solve 0 = 4*n + c, 5*n = -5*c - 1 - 14 for n.
1
Solve -3*z = -w - z + 5, 2*z = 4*w - 8 for w.
1
Solve -6*k - 28 = -4*y - k, -y + k = -6 for y.
2
Solve u + 4*u - 30 = 2*q, 4*u = 5*q + 41 for q.
-5
Solve -3*d - 3*t = 0, 8*d - t = 13*d - 12 for d.
3
Solve -2 = 3*l - 2*s, 13 + 0 = 3*l - 5*s for l.
-4
Solve 5*c - v = -15, 5*v - 57 = -2*c - 36 for c.
-2
Solve 2*t - 2*i + 18 = 0, -88*i = 5*t - 86*i + 17 for t.
-5
Solve 8 = -2*h, -3*h = -3*c - 5*h + 7 for c.
5
Solve -4*w + 7 = -9*w + 4*j, -5*j = 3*w + 19 for w.
-3
Solve -3*s - 5*t + 8 = 0, -s - 4*s = 4*t - 9 for s.
1
Solve 2*r - a + 1 = 0, r + 4*r - 5*a = 5 for r.
-2
Solve -4 = 2*i + 4*b, 4*i - 3*i + 5*b + 5 = 0 for i.
0
Solve -2*q + o - 1 = 4, 4*q + 15 = o for q.
-5
Solve -6*c + 2*c = -n - 21, -4*n = 5*c for n.
-5
Solve 2*y - 5*o = 30, 0 = 5*y - y + 5*o for y.
5
Solve 3*u - 6 = 4*z + 6, 12 = 2*u - 4*z for u.
0
Solve -3*y = -f - y, -1 = y for f.
-2
Solve 28*y - 26*y + 4 = i, 1 = -y for i.
2
Solve 0*n + 3*c - 12 = -3*n, 0 = -4*n + 3*c + 16 for n.
4
Solve -20 = 5*t, 5*p = 3*p + 2*t for p.
-4
Solve -66*v + 3*k = -67*v + 3, 2*v + 4*k = 4 for v.
0
Solve -x - 12 = -5*a, 3*x - 4 + 0 = -5*a for x.
-2
Solve -3*x = -2*r - 20 - 5, 0 = 4*x + 4*r for x.
5
Solve 4*k - 4 = 2*y - 2, 5*y = 2*k + 19 for k.
3
Solve -2*l - z = -8, 0*l = l + 4*z - 11 for l.
3
Solve -2*l + 32 = 4*z - 0, 3*z - 39 = -4*l for l.
6
Solve -5*w = 2*f - 20, 0*w - 2*w + 8 = -f for w.
4
Solve -3*d - 7 = h, -d - 4*h = d - 2 for d.
-3
Solve -5*q - 4*x - 20 = -0*q, 5*x = 0 for q.
-4
Solve -5*f - 5 = a, -4*a + 3*f + 5 - 2 = 0 for a.
0
Solve m + 16 = -4*q - m, 0 = 5*q - 5*m + 20 for q.
-4
Solve m + 4*d - 1 = -6, 5*d = 5*m for m.
-1
Solve 8*j + 56 = 4*i, -13 = 3*i + 4*j + j for i.
4
Solve -4*o + 3 = -5*g - 34, -4*o = g - 7 for o.
3
Solve -5*z - 8 = -i - 6, 4*i - 8 = 4*z for i.
2
Solve -q + c + 3 = 0, 2*q - 6*q - 3*c - 2 = 0 for q.
1
Solve -3*b + 5*x + 4 = 0, -3*x = -4*b - 6*x - 14 for b.
-2
Solve 3*g + 4 = -o, 3*g - 5*o = -g + 20 for g.
0
Solve -2 = -o - g, -6*o + 3*o + 5*g + 14 = 0 for o.
3
Solve -2*p = -4*o - 6, -7*p = 4*o - 3*p - 24 for o.
1
Solve -5*l = -2*o + 5*o - 3, 8*o = l + 8 for o.
1
Solve -3*q - 15 = -3*p, 4*p = q + 5 + 9 for q.
-2
Solve 7*m = 26*l - 27*l + 30, m - 14 = -5*l for l.
2
Solve v = 4*g - 19, -31*g + 3*v - 7 = -35*g for g.
4
Solve -4*k + d = 4*d - 25, -4*k + d + 13 = 0 for k.
4
Solve -g - 5 = -5*n, -2*g + 6 - 3 = 3*n for g.
0
Solve 0 = -x + 12*o - 14*o + 3, 0 = 3*x - 2*o - 9 for x.
3
Solve 0 = -5*f + 5*d + 30, 11*d = -3*f + 6*d - 6 for f.
3
Solve 2*d + 6 = -4*w, -20*d - 4*w = -20*d for d.
-3
Solve 0*c = -5*p - 2*c + 19, -4*p = 5*c - 5 for p.
5
Solve 0 = 3*l - 3*p + 12, 2*l + 0*p - 4 = -p for l.
0
Solve -k + 4*g = -17, 1 = 3*k + 2*g - 8 for k.
5
Solve 4*h = -4*j + 4, -112 = -4*h - 124 for j.
4
Solve -4*m = 3*u - 8, m = u + 5 - 3 for u.
0
Solve 0*j = 2*p - 2*j + 6, -4*p = -j - 3 for p.
2
Solve 16*m - 15*m - 5*z + 25 = 0, m = -5*z + 15 for m.
-5
Solve -15 = 5*r + 5*a, 0 = -3*r + 5*a - a + 12 for r.
0
Solve 3*x = 2*n - 8, 3*n + 3*x = 1 - 4 for n.
1
Solve -2*h + 2 = -2*t + 16, t + 1 = -h for h.
-4
Solve 0 = -2*n - h + 19 - 34, 4*h = -2*n - 18 for n.
-7
Solve -3*d - 2*o = -2 + 9, -3*o = 5*d + 10 for d.
1
Solve 5*a - 18 = -4*r + 3*a, r = 3*a + 1 for r.
4
Solve 0*q + 2*h = -5*q + 14, 0 = -5*q - h + 17 for q.
4
Solve 3*z - 3*o + 6 = 0, 0 = 2*z + 3*o - 6 - 0 for z.
0
Solve 2*r + 5*y + 22 = 0, -y + 5*y + 13 = 3*r for r.
-1
Solve 3*t + 4*a = -35, -7*t + 6*t = -a for t.
-5
Solve 35 = -5*w + 10*o - 13*o, 2*o = 2*w - 2 for w.
-4
Solve 3*v = 7*w - 2*w - 26, -2*v - 12 = -2*w for v.
-2
Solve -2*r - 7 + 15 = -s, -3*s = 6 for r.
3
Solve -j = 5*r, -4*j - 17 = 5*r - 2 for r.
1
Solve 4*y = 5*f - 36, -7*f + 3*f - 4*y = 0 for f.
4
Solve -4*o + 3 = -s, 0 = s + s - 2*o + 6 for s.
-3
Solve 5*m = -7 - 8, 0 = 2*f - 4*m - 6 for f.
-3
Solve 5*t + 23 = f, 0 = t - 146 + 150 for f.
3
Solve -6*x + 2*w = -4*x - 4, -5*w - 18 = 3*x for x.
-1
Solve 0 = -5*j + 4*a + 14, 0*a = -a - 1 for j.
2
Solve x + 37*b + 2 = 34*b, 4*b = 3*x - 20 for x.
4
Solve 0 = 3*y + 4*w - 8 + 12, -20 = -3*y + 2*w for y.
4
Solve 6 = -2*k, 0 = -c - 5*k - 14 - 0 for c.
1
Solve 9*o + w = 4*o - 22, -2*w = -3*o - 8 for o.
-4
Solve -4*s + 19 = a + 13, 4*a + 12 = 2*s for s.
2
Solve 6 = -q - 0*s - 3*s, -2*s - 18 = -4*q for q.
3
Solve -y = 2*z - 8, 0 = -3*y + 14*z - 10*z - 26 for y.
-2
Solve 3*r = -4*k + 29, -11*r - 4 = -4*r - 5*k for r.
3
Solve -p = -2, -4*i - 5*p - 444 = -470 for i.
4
Solve -3*c = -s + 18, -10*s = -4*c - 7*s - 29 for c.
-5
Solve 0 = -5*y - 4*o + 32, -2*y + 8*o + 2 = 6*o for y.
4
Solve 5*b - 3*q + 20 = 0, 5*b + 2*q = 6*q - 25 for b.
-1
Solve -z + 40*v + 5 = 43*v, v - 4 = 2*z for z.
-1
Solve 3*p = -5*w + 25, 0*p + 3*p - 15 = -3*w for w.
5
Solve z - 4*f = 25, 0 = -673*z + 674*z + 5*f + 20 for z.
5
Solve 0 = -16*u + 15*u + a - 1, 3 = -3*u - 3*a for u.
-1
Solve 3*r + 3 = -5*q + 27, -9 = -r - 2*q for r.
3
Solve 3*a = -4*v - 25, 4*v + a + 23 = -v for v.
-4
Solve -3 = 3*d + 2*t - 5*t, -1 = -4*d + 3*t for d.
4
Solve 4 = -7*y + 11*y, -3 = -2*z - y for z.
1
Solve 3*p = 3*y - 15, 47*y + p - 1 = 46*y for y.
3
Solve 13 - 19 = -2*a + 2*w, 3 = a - 5*w for a.
3
Solve 3*f + 5*w = f - 17, 4*w + 12 = -2*f for f.
4
Solve -l = 3*x - 10, 0 = -2*l - 4*x + 8*x - 20 for l.
-2
Solve 0 = -5*r + t - 23, 3*r - t + 23 = -5*t for r.
-5
Solve 4*r + 2 = 5*x + 8*r, 4*r = -4*x for x.
2
Solve -120*m + 2*u + 4 = -117*m, 1 = 2*m - u for m.
-2
Solve 4 = 9*f - 14*f - i, f - 2 = -3*i for f.
-1
Solve -5*h - 443 = -3*d - 420, d - 13 = 3*h for d.
1
Solve -4*f + 17 = 5*l, 5*f - 11 = -74*l + 78*l for l.
1
Solve 3*b - 5*b - 2 = 0, 5*b = -5*p - 20 for p.
-3
Solve d - 2*x + 12 = 0, 4*d + 3 + 21 = 2*x for d.
-4
Solve -4*k + 7*k - f = -5, k - 5 = 2*f for k.
-3
Solve 4*c + 28 = w - 6*w, -4*c = -2*w for w.
-4
Solve -8 = -3*l - b, 4*l + b - 9 = 1 for l.
2
Solve 5*n - 4 = 4*v, -97*v - n = -96*v + 1 for v.
-1
Solve -2*v + 3*t = -5*v, 3 = -4*v - 3*t for v.
-3
Solve 0 = -3*x - 4*m - 28, -17 = -2*x - 6*m - 49 for x.
-4
Solve -21 = -7*p + 2*p + 4*d, 3*p - 7 = d for p.
1
Solve 2*i = -2*g - 12, i - 6*i - 12 = -4*g for g.
-2
Solve -2*s + 3*z + 13 = 0, s = -z - 1 - 0 for s.
2
Solve 4*j + 4*w = 12, -2*j + 0*j - 3*w + 7 = 0 for j.
2
Solve 2*m + r = -5, 45*r - 43*r = -m + 2 for m.
-4
Solve 7 = -4*n - 5*m, m = 4*n + 5*m + 4 for n.
2
Solve f - 6 = -4*j, -4*j = 3*f - 0*f - 10 for f.
2
Solve 4*n - 76*p = -77*p + 8, p - 7 = -3*n for n.
1
Solve 0*j - j = 0, -5*u + 10 = 4*j for u.
2
Solve -25 = -5*p + 2*z - 3*z, 2*p + 3*z = 10 for p.
5
Solve -1 = 4*g + 2*k + 1, 0 = 4*g + 5*k + 5 for g.
0
Solve -784*y + 781*y = -12, 4*y = 2*h + 14 for h.
1
Solve -2*d - 13 = 5*r, 5*d + 1 = -4*r - 6 for r.
-3
Solve -3*j - 9 = -p, -j = -5*p + 2*j - 3 for p.
-3
Solve -9*a - 14 = -22*a - k, -5*a = -2*k - 3 for a.
1
Solve 19 = -n + 5*i - 0*i, 3*i - 15 = -3*n for n.
1
Solve -9 = 3*x - 5*u + 16, -5 = -4*x - u for x.
0
Solve 0 = -3*n + 2*w - 6, 12 = -2*n + 4*w + 8 for n.
-2
Solve 3*d + w = -4, d - 6*w + w = -28 for d.
-3
Solve 4*g - q = 8 - 29, 4*q - 12 = -2*g for g.
-4
Solve d - 37 = -2*d - 5*g, -2*d = 5*g - 33 for d.
4
Solve w = y - 5, -7*y + 3*w + 15 = -6*y for y.
0
Solve 4*f - 10 = -2*c - 4, -5*c = 25 for f.
4
Solve 0*m = -5*m + 3*n - 34, -2*n + 21 = -3*m for m.
-5
Solve h = -4*h - 15, 0 = 3*o + 4*h - 3 for o.
5
Solve -5*t + 4*q = -13, 4*t + 3*q = -t + 34 for t.
5
Solve 3*j = -z + 4, 2*j - 5*j + 4*z - 1 = 0 for j.
1
Solve 5*a + 4*q + 17 = 0, 5*a = 25*q - 24*q - 27 for a.
-5
Solve -5*w - 2*z - 18 = 0, 5*z + 5 = -4*w - 6 for w.
-4
Solve p + 1 - 10 = -4*q, 2*q - 12 = -2*p for q.
1
Solve -2*v - 3*z = -3*v - 5, -5*v + 15 = 5*z for v.
1
Solve 5*b - 5*n + 20 = 0, 2*b - 2*n + 17 = -3*b for b.
-3
Solve 4*i - 8 = 9*i + 4*j, 4*j - 12 = 0 for i.
-4
Solve -6*i + 4*x - 15 = -i, -3 = i - 2*x for i.
-3
Solve -4*j = -3*a - 18 + 7, 4*a - 12 = 0 for j.
5
Solve 2*d + 16 = 2*p, 0 = -2*d + 5*p - 2*p - 20 for d.
-4
Solve 5*k - 1 = -2*j + 3*j, -4*j + 4*k + 12 = 0 for j.
4
Solve 3 - 1 = 2*v, v = -q + 4 for q.
3
Solve -2*c = 2*c - 5
|
{
"pile_set_name": "DM Mathematics"
}
|
29*x**2. Give y(11).
1
Let b(r) = 2*r**2 + 27*r + 7. Let w(i) = -i**2 - 13*i - 3. Let x(p) = 3*b(p) + 7*w(p). Let m be (-2 + -8)/(-3 + 4). Calculate x(m).
0
Suppose w = -n + 9, w - 18 = -3*n - 1. Let l = -6 + n. Let s(b) be the third derivative of -b**4/8 + b**3/3 + 7*b**2. What is s(l)?
8
Let m = 6 + -12. Let k(z) be the first derivative of z**3/6 + 11*z**2/2 - 3*z - 3. Let o(t) be the first derivative of k(t). What is o(m)?
5
Let z be ((-3 + -6)/(2/10))/(-1). Suppose -z = 41*p - 36*p. Let m(w) = w + 12. Calculate m(p).
3
Let k(w) = -3*w**3 + w**2 - w + 2. Let x be k(2). Let g = -12 - x. Let v be (-4)/g - (-6)/4. Let o(h) = 3*h - 1. What is o(v)?
2
Let g(c) be the second derivative of c**2 + 0 - 5/24*c**4 - 5*c + 1/60*c**5 - 1/3*c**3. Let w(t) be the first derivative of g(t). Give w(6).
4
Let s(p) = -6*p**2 + p + 7. Let r(u) = -2*u**2 - 2*u. Let b(c) = -2*r(c) + s(c). What is b(-2)?
-11
Let c(z) = -3*z - 8. Let t be (-39)/(-52)*(5 + -1). Suppose -9 - t = 2*j. Calculate c(j).
10
Let i(u) = -3 + 6 - 6 - 3*u. Suppose -k + 10 = 2*a, -3*a + 6 = -0*k - 3*k. Let d be a/18 - 20/9. What is i(d)?
3
Let v be ((-8)/(-2))/(0 - (-6 + 4)). Let x(k) be the second derivative of -k**4/4 + 2*k**3/3 - 3*k**2/2 + k. Calculate x(v).
-7
Let u(s) be the second derivative of -s**4/12 - 11*s**3/6 + 4*s**2 - 2*s - 139. Give u(-10).
18
Let u(y) = y - 18*y**2 + 1 - y. Suppose 55 - 62 = 7*j. Give u(j).
-17
Let y = 35 + -39. Let r(h) = 6*h - 11. Let f(g) = 2*g - g + 0*g - 2. Let i(z) = -22*f(z) + 4*r(z). Determine i(y).
-8
Let y be -10*(-6 + 39/6). Let i(g) = g - 2. Determine i(y).
-7
Let j be (-2)/(-1) - (-25 - -13) - 5. Let g(d) = -2*d + 9. Give g(j).
-9
Let c(j) be the second derivative of 9/2*j**2 + 1/12*j**4 + 0 - 3/2*j**3 + 3*j. What is c(8)?
1
Let i(n) be the first derivative of 2*n + 3/2*n**2 + 4/3*n**3 + 5 + 3/4*n**4. Determine i(-2).
-12
Let h(g) = -g. Let p(y) = -2*y. Let x(z) = -3*h(z) + p(z). Let s be x(2). Suppose -20 = -5*w, 2*o + 5*w = s + 6. Let a(i) = i**2 + 7*i. What is a(o)?
-6
Let u(p) = p + 1. Let f = 67 + -28. Let w = f + -37. Determine u(w).
3
Let f(d) = -3*d**2 + 2*d + 3. Let m be (-164)/(-5) + 92/(-115). Suppose -16*b = -m - 16. Calculate f(b).
-18
Let l(c) be the second derivative of c**5/20 + 17*c**4/12 + 17*c**3/6 + 23*c**2/2 + 24*c + 3. Calculate l(-16).
7
Let w(f) = f - 20 + 2*f + 2*f - f**2 + 10*f. Let u be w(14). Let m(l) = -l**3 - 5*l**2 + 3*l - 2. Calculate m(u).
16
Let d(i) = 4*i**3 + 16*i**2 + i + 19. Let y(x) = -3*x - 6. Let n be y(-5). Let r(g) = -g**3 - 4*g**2 - 5. Let k(u) = n*r(u) + 2*d(u). Calculate k(-5).
8
Let q(z) = 5 - 2 + 7 + 3*z. Let m be q(5). Let i = m - 19. Let v(p) = -p + 8. What is v(i)?
2
Let m(s) be the second derivative of 1/3*s**3 + 0 + 1/2*s**2 + 2*s. Give m(-5).
-9
Let d(p) = -3*p**2 - 5*p + 7 - 2 + 16*p**3 - 9*p**3. Let j(z) = 3*z**3 - z**2 - 2*z + 2. Let a(s) = -4*d(s) + 9*j(s). Calculate a(3).
4
Let q(c) = 10*c**3 - 9*c**2 + 10*c + 17. Let a(p) = 7*p**3 - 6*p**2 + 7*p + 12. Let x(s) = -7*a(s) + 5*q(s). Let m be -2*-3*(-3)/(-6). What is x(m)?
4
Let h(y) = -4*y - 19. Suppose v = 5*s + 16, -4*s - v - 2*v - 28 = 0. Let u be h(s). Let t(n) = n**3 + 2*n**2 - 4*n + 1. What is t(u)?
4
Let f(g) = -g - 6. Let j(z) = -z**3 + 19*z**2 - 19*z + 8. Let m(t) = -15*t + 3. Let w be m(-1). Let p be j(w). What is f(p)?
4
Let p(j) = 2*j**2 - 3*j. Suppose 0 = -32*x + 35*x + 12, x + 12 = 2*n. Calculate p(n).
20
Let c(q) = q**3 - 4*q**2 + 2*q. Let m(r) = r**3 - 4*r**2 + 2*r + 1. Suppose 0 = -5*p + 50 - 65. Let v(y) = p*c(y) + 2*m(y). What is v(4)?
-6
Let g(d) = -d**2 + 4*d + 2. Let u(p) = -2*p**2 - 16*p - 10. Suppose 0 = 4*l + l + 5*a + 30, 3*l = a - 22. Let t be u(l). Determine g(t).
2
Let t(y) = y**3 - 5*y**2 - 4*y + 8. Suppose 54*n + 30 = 59*n. Give t(n).
20
Let b(v) = 19. Let i(k) = 2*k + 17. Let m(x) = 2*b(x) - 3*i(x). Determine m(-3).
5
Let x = 0 - 0. Let o(p) be the third derivative of 1/60*p**5 - 11*p**2 + 0 - 1/120*p**6 + 0*p**4 + 2*p**3 + 0*p. Calculate o(x).
12
Let l(q) = -2*q + 2. Let c be 5 + 3 + -10 + (0 - -1). Let w = -2 + c. What is l(w)?
8
Suppose g - 6*g = -4*v + 32, -2*v = -6. Let p(n) = 23*n**2 - 2 - 4*n - 11*n**2 - 13*n**2. Determine p(g).
-2
Let h = -20 - -22. Let f(q) = 7 - 5*q - h*q + 5*q + 1. Suppose -3*r - 16 = 2. Determine f(r).
20
Let b(s) = 3*s - 29. Let i(l) = -17*l - 211. Let v be i(-13). Determine b(v).
1
Let y(z) = -z**2 - 4*z + 7. Let x be y(-5). Let o(k) = -11*k**2 - 4*k + 16. Let c(j) = -7*j**2 - 2*j + 10. Let a(q) = 8*c(q) - 5*o(q). Calculate a(x).
4
Let d(m) = m**3 + 3*m**2 - 4*m - 2. Let w be (9/6)/3*0. Let a be w + (16 - (4 + -4)). Suppose 7*p + 44 = a. Give d(p).
-2
Let p(z) = 13*z**2 - 6*z + 1. Let g(f) = -27*f**2 + 13*f - 2. Let o(m) = 6*g(m) + 13*p(m). Suppose -38*a + 108*a + 70 = 0. What is o(a)?
8
Suppose -6*y + 12 = -7*y. Let v be (y/(-15))/(8/40). Let a(c) = c**3 - 6*c**2 + 6*c - 1. What is a(v)?
-9
Let v(f) = f**3 + 3*f**2 + 2*f - 2. Suppose -24*b + 20 = -22*b. Suppose -5*a + 7*i + b = 3*i, a - 5*i = 23. Give v(a).
-2
Let z(r) = 0*r + 6*r**2 + 4*r - 7 + r - 5*r**2. Let b be 7 - 517/44 - 1/4. Give z(b).
-7
Let p(j) = -5*j - 54. Let y be p(-11). Let z(f) be the first derivative of 1/3*f**3 + 7/2*f**2 + y + 5*f. Give z(-5).
-5
Let n(r) = 5*r + 1. Let o be (-1)/1*(-6 - -3). Suppose -7*u + 4 = -11*u + 2*y, -3*u - o = -3*y. What is n(u)?
-4
Let z(a) = 11*a**2. Suppose 3 = f + s, -17 = 3*f - 6*f + 5*s. Suppose f*d - 11 + 15 = 0. Determine z(d).
11
Let v(a) = 27*a - 4. Let u(l) = 23*l - 3. Let m(q) = -7*u(q) + 6*v(q). Let t(w) = -w**2 - 7*w - 5. Let p be t(-7). Let d be p/2*24/(-15). Give m(d).
1
Let q be -20 - ((-4)/(-1) + -4). Let f = -18 - q. Let l(m) = 8*m**2 - f*m**3 - m**3 - 1 + 2*m**3 - 3*m**2. Give l(5).
-1
Let k(v) = -7*v**3 - v**2 + v + 1. Let o be 9/(-6) - 2/(-4). Determine k(o).
6
Let o(j) = j**2 - 8*j + 7. Let n = -17 - -24. Let i be o(n). Let q(r) = -5*r - 1 + 6*r + i. Determine q(4).
3
Let o(w) be the third derivative of -w**6/120 - w**5/15 + w**4/8 + w**3 + 116*w**2. Give o(-4).
-6
Let d(p) = 5*p**3 - 4*p**3 - 170 - 2*p + 171. Suppose -2 = -a - 0. Determine d(a).
5
Let j(k) = 16*k**3 + 19*k**2 + 2*k - 10. Let d(m) = -7*m**3 - 8*m**2 - m + 4. Let g(z) = 9*d(z) + 4*j(z). Suppose -3*r - 8 = 1. Calculate g(r).
8
Let g(a) = -7*a + 6*a**2 - 565*a**3 + 564*a**3 + 0 + 2. Let s = -1 - -6. Determine g(s).
-8
Suppose 212 = -5*z - 118. Let v = -60 - z. Let q(i) = 2*i + 5. Calculate q(v).
17
Let k = 567 + -559. Let d(n) = n**3 - 9*n**2 + 9*n - 6. Give d(k).
2
Let i(s) = -5*s**2 + s. Suppose 16*j = 13*j + 33. Let y(u) = -u**2 + 9*u + 21. Let k be y(j). Give i(k).
-6
Let c(s) = -3*s**2 - 17*s + 17. Let v(l) = -2*l**2 - 11*l + 11. Let q(t) = 5*c(t) - 7*v(t). Let j be q(-8). Let i(a) = -1 - 4 - a - 1 + j. Determine i(2).
0
Let j(q) = 5 + 0 + 2 - 2*q. What is j(5)?
-3
Suppose -51*z + 126 = 24. Let w(o) be the first derivative of -4 - 1/2*o**z - 3*o. Determine w(4).
-7
Suppose -273 = -4*g - g - t, 3*t + 61 = g. Let n = g + -62. Let w(r) = -r - 2. Calculate w(n).
5
Let h be ((-2)/(-3))/(-2)*-12. Suppose h*g + 14 - 30 = 0. Let a(r) = -r**2 + 4*r + 1. Determine a(g).
1
Let m(h) = 2*h**2 + 2*h + 2. Let k be (-21)/9*3 + 3/1. What is m(k)?
26
Let r = -391 - -403. Let j(m) = -3*m + 41. What is j(r)?
5
Let s(g) = -6*g - 3*g**2 - g**2 + 0*g**3 + 2*g**3 - g**3 + 3. Let v(i) = -i**2 + 10*i - 19. Let a be v(6). Calculate s(a).
-2
Let p(t) be the third derivative of t**5/60 - t**4/24 + 5*t**3/2 + 2*t**2. Let q(k) be the first derivative of p(k). Give q(-2).
-5
Let t(v) be the first derivative of -v**4/4 - v**3 + v + 186. Give t(2).
-19
Let q(b) be the third derivative of b**4/24 - 17*b**3/6 + 10*b**2 + 12. Determine q(18).
1
Let i be 3/(-9)*-6*1. Let f = 39 - 37. Let c(h) = 2*h**2 - h + 0*h**2 - h + 3*h**2 - f. Calculate c(i).
14
Suppose -237 + 247 = 5*j. Let s be 1 + j - (14 - 13). Let d(k) = 4*k**2 - k - 1. What is d(s)?
13
Suppose 0 = 2*l - 1 + 11. Let q(j) = -j**2 - 8*j - 5. Let i(n) = -3*n + 10 + 20*n + 11*n**2 - 9*n**2. Let x(g) = -3*i(g) - 7*q(g). Determine x(l).
5
Let m(i) = 5 + 3*i**3 + 3*i**3 - 5*i**3 + 5*i**2 + 5*i. Let r be (4 - 6) + 47 + -49. Determine m(r).
1
Let g(s) = 24*s**2 + 3*s + 2. Let h = -500 + 499. What is g(h)?
23
Let o be 1*-2 + 24/6. Let h be (-1)/2*(-10 - -2). Let j(t) = 3*t +
|
{
"pile_set_name": "DM Mathematics"
}
|
2058, -7.
-301, -7, 1, 2058
Sort -0.5, 1/3, 7146, -4, -2, 1/5.
-4, -2, -0.5, 1/5, 1/3, 7146
Sort 240, -1441, -1/2, 5 in descending order.
240, 5, -1/2, -1441
Sort -7, 1, -1/2, -2, 2/13, -833 in ascending order.
-833, -7, -2, -1/2, 2/13, 1
Put -28312, -11, -15, 1, -3 in ascending order.
-28312, -15, -11, -3, 1
Sort 10, -0.1, -0.8, 1/7, -2/13, -6 in decreasing order.
10, 1/7, -0.1, -2/13, -0.8, -6
Sort 1, 87, 0.1, -1/34, 0.4, -7 in decreasing order.
87, 1, 0.4, 0.1, -1/34, -7
Sort -3, -0.5, 27, -71942.
-71942, -3, -0.5, 27
Sort 5, -7, -28, -1408, 2 in ascending order.
-1408, -28, -7, 2, 5
Put -4, 2051, 0, -60 in descending order.
2051, 0, -4, -60
Sort 0, -5, -2, 652, -21 in decreasing order.
652, 0, -2, -5, -21
Put -5, 0, 3, 518, -3687, 2 in descending order.
518, 3, 2, 0, -5, -3687
Put 346, -0.2, -0.21, 0, -6 in descending order.
346, 0, -0.2, -0.21, -6
Sort -3401, 2, 5, 3, 8, -5 in decreasing order.
8, 5, 3, 2, -5, -3401
Put -10, 2, 1, 11, -2, -5 in increasing order.
-10, -5, -2, 1, 2, 11
Sort -2/13, -34, -3, 485, 3/2, 5.
-34, -3, -2/13, 3/2, 5, 485
Sort 4, -2, 1306, 9, -3, 40, 0 in descending order.
1306, 40, 9, 4, 0, -2, -3
Sort -1/3, -1, -11/2899, 3, 1/5, 2 in descending order.
3, 2, 1/5, -11/2899, -1/3, -1
Sort 218, 3576, -4/5, -5, -4, -2/5 in descending order.
3576, 218, -2/5, -4/5, -4, -5
Put -1/2, -6, -1, 99, 1/5, -1/61 in increasing order.
-6, -1, -1/2, -1/61, 1/5, 99
Sort -1168, -8, -333 in decreasing order.
-8, -333, -1168
Sort -5, 1.2, -2/5, -70/7009, 0.02 in ascending order.
-5, -2/5, -70/7009, 0.02, 1.2
Put 5, -8, 4, 0, -5, 1, -4873 in decreasing order.
5, 4, 1, 0, -5, -8, -4873
Put -71, 14, -397, 5, -1 in decreasing order.
14, 5, -1, -71, -397
Put 0.4, -7/41, -0.2, 1/3, 438, 25 in decreasing order.
438, 25, 0.4, 1/3, -7/41, -0.2
Put 400, -57, 2, 5, -1 in descending order.
400, 5, 2, -1, -57
Sort -1367, -1, -19 in descending order.
-1, -19, -1367
Sort 0, -32305, 4, -161 in increasing order.
-32305, -161, 0, 4
Sort -5, -574/523, -1.
-5, -574/523, -1
Put 279, -19, 2/11, 5, -4, 3, 2 in increasing order.
-19, -4, 2/11, 2, 3, 5, 279
Sort 6, 3, 51, 5, -9, -11 in descending order.
51, 6, 5, 3, -9, -11
Sort 5, -1, -775, 2, 0, -492, -27 in decreasing order.
5, 2, 0, -1, -27, -492, -775
Sort 259058, 5, -6 in increasing order.
-6, 5, 259058
Sort 519639, 1/4, -0.4.
-0.4, 1/4, 519639
Sort -2/7, -544/7, -1/6, 18.7, 5 in increasing order.
-544/7, -2/7, -1/6, 5, 18.7
Put 0, 0.4, -16, 35, 2, 8 in decreasing order.
35, 8, 2, 0.4, 0, -16
Sort 5, -70, 18, -12, 69, -2.
-70, -12, -2, 5, 18, 69
Put -6/7, -0.3, 392/99 in descending order.
392/99, -0.3, -6/7
Put -4, 519, 4, -199 in descending order.
519, 4, -4, -199
Put -99, 26, 205, 5 in descending order.
205, 26, 5, -99
Sort 3.27, -0.2, 11871 in ascending order.
-0.2, 3.27, 11871
Put 1/9, 3, -153790, 4 in increasing order.
-153790, 1/9, 3, 4
Sort -1, 30, -4, -693, 9 in decreasing order.
30, 9, -1, -4, -693
Put -210, -16, 3, -8, -4, -2 in increasing order.
-210, -16, -8, -4, -2, 3
Put -992, 4, -8, 25, 3 in increasing order.
-992, -8, 3, 4, 25
Put 4, -4, 10, 94848 in descending order.
94848, 10, 4, -4
Put 4, -2/11, 44, -0.3, 0.77, 2/19 in ascending order.
-0.3, -2/11, 2/19, 0.77, 4, 44
Sort 11, 11.15, -0.3, 0.6, 5/4 in increasing order.
-0.3, 0.6, 5/4, 11, 11.15
Put 1/10, -377955, -4 in descending order.
1/10, -4, -377955
Sort 4, 3, -1, -4, -279, 32.
-279, -4, -1, 3, 4, 32
Sort -2, -5, -0.05, 136, -0.1, 0.4 in decreasing order.
136, 0.4, -0.05, -0.1, -2, -5
Put 1, -0.15, -808994 in decreasing order.
1, -0.15, -808994
Put 10, 40, -4, -2, -22 in decreasing order.
40, 10, -2, -4, -22
Sort 873, -230, 6 in increasing order.
-230, 6, 873
Put 5, -370, 3, -1, 67 in descending order.
67, 5, 3, -1, -370
Sort 0, -1.2, 0.001, -9.05, 5 in ascending order.
-9.05, -1.2, 0, 0.001, 5
Sort 0.09, 2, -305/18, 3, 4 in increasing order.
-305/18, 0.09, 2, 3, 4
Sort -8, 0, 1566198.
-8, 0, 1566198
Put -39, 2, -11, -1627 in increasing order.
-1627, -39, -11, 2
Sort 9/2800, -0.3, 0.12, 6 in descending order.
6, 0.12, 9/2800, -0.3
Put -438, 49672, 0 in ascending order.
-438, 0, 49672
Sort -42, -1, 5775, -20, -0.1 in decreasing order.
5775, -0.1, -1, -20, -42
Put 0.2, 2/7, -1383438, 3/2, 2, 4 in decreasing order.
4, 2, 3/2, 2/7, 0.2, -1383438
Sort -5, -4, -53231 in descending order.
-4, -5, -53231
Sort -3, -26, 36, -2, -11, -6, 4.
-26, -11, -6, -3, -2, 4, 36
Sort 72, -21, -4, 5, 4, 6, -17.
-21, -17, -4, 4, 5, 6, 72
Sort -2, -13, -4, 9, 6 in decreasing order.
9, 6, -2, -4, -13
Sort -2, 208, 0, 4, -4, 24.7.
-4, -2, 0, 4, 24.7, 208
Put -7, -2, -23, 0, -141 in decreasing order.
0, -2, -7, -23, -141
Sort 0, 167762, 6 in decreasing order.
167762, 6, 0
Sort -0.4, 3/38, -18, -5, 336, -1/4 in descending order.
336, 3/38, -1/4, -0.4, -5, -18
Sort 0.5, 10844.2, 1/77.
1/77, 0.5, 10844.2
Put -1/3, 5, 20368/15, -4/9 in increasing order.
-4/9, -1/3, 5, 20368/15
Sort -4.4, -1/7, 5294/21.
-4.4, -1/7, 5294/21
Sort 4, -5.74, -2629/2, 1, 5 in ascending order.
-2629/2, -5.74, 1, 4, 5
Put 14, -105, 5, 11, 4, -14, -5 in descending order.
14, 11, 5, 4, -5, -14, -105
Put -2, 24, 12792/7, 6/19 in ascending order.
-2, 6/19, 24, 12792/7
Sort -4, 2.9871, 2/103 in descending order.
2.9871, 2/103, -4
Put -11.9, -158, 0.2, -29 in decreasing order.
0.2, -11.9, -29, -158
Sort -4, -221, 38, 32, 0, -2.
-221, -4, -2, 0, 32, 38
Put -2, -39, 33113/3 in ascending order.
-39, -2, 33113/3
Sort 0.16, -0.043, -4/7, -5/47, 0.3 in descending order.
0.3, 0.16, -0.043, -5/47, -4/7
Put -74, -3/16, -3, 2/5, -0.04 in descending order.
2/5, -0.04, -3/16, -3, -74
Sort -6.5, 3/49, 0.4, 1667 in increasing order.
-6.5, 3/49, 0.4, 1667
Put -2, -47617, 77, -3, 0.3, -0.3 in increasing order.
-47617, -3, -2, -0.3, 0.3, 77
Put -3, 0, 986, -197, -5 in ascending order.
-197, -5, -3, 0, 986
Put 1, 488, 3, -6, 2, 0, 6 in increasing order.
-6, 0, 1, 2, 3, 6, 488
Put -654/11, 6, 5 in ascending order.
-654/11, 5, 6
Put 1946, -2, -0.1, 137 in decreasing order.
1946, 137, -0.1, -2
Sort -2/11, 42, 2/7, 2012/5 in decreasing order.
2012/5, 42, 2/7, -2/11
Sort 4, 20, 22, 5, 1/8, 278 in descending order.
278, 22, 20, 5, 4, 1/8
Sort -3, 14, 465, -8, 4 in ascending order.
-8, -3, 4, 14, 465
Sort -4, 999, 41, 4, 1 in increasing order.
-4, 1, 4, 41, 999
Sort 1, -2/27, 1/3, 2662, 0.5, -2/7 in increasing order.
-2/7, -2/27, 1/3, 0.5, 1, 2662
Sort 212040, 70, 5.
5, 70, 212040
Put -2, -5, -50, 1, -1725, -3, 15 in descending order.
15, 1, -2, -3, -5, -50, -1725
Sort 3, 28, -67847 in decreasing order.
28, 3, -67847
Put 1, 3/11, -269, -0.8, 0.1, 4 in ascending order.
-269, -0.8, 0.1, 3/11, 1, 4
Sort -2, 9, -4, 2/9, 35, -5 in descending order.
35, 9, 2/9, -2, -4, -5
Sort -0.15, 1021, 4, 360, -0.3, 0 in descending order.
1021, 360, 4, 0, -0.15, -0.3
Sort 1, 10, -5, -132, 3777 in decreasing order.
3777, 10, 1, -5, -132
Put 33.5, -21, -2/469 in descending order.
33.5, -2/469, -21
Sort -135014385, 5, -5.
-135014385, -5, 5
Sort -16, 20, -4, -2, -13/4, -27.
-27, -16, -4, -13/4, -2, 20
Sort 43, 1, 2587/255.
1, 2587/255, 43
Sort -4/3, -4/5, 18, -5, -4, 36/13 in decreasing order.
18, 36/13, -4/5, -4/3, -4, -5
Sort -73, -52, -3, -1, -94, 0, 1.
-94, -73, -52, -3, -1, 0, 1
Put 5, 0, 73639, -49 in increasing order.
-49, 0, 5, 73639
Put -3/7, -0.197, 1, 1/2, -417 in descending order.
1, 1/2, -0.197, -3/7, -417
Put 244, 196, 12 in descending order.
244, 196, 12
Put 24448/7, 3, -5, 4/3 in descending order.
24448/7, 3, 4/3, -5
Put -202, 4, 2, 184, 5, 3 in ascending order.
-202, 2, 3, 4, 5, 184
Put -6, -16, -8663, -4 in descending order.
-4, -6, -16, -8663
Put 4, -19, 0, -5, 122 in decreasing order.
122, 4, 0, -5, -19
Sort -1/3, -1, -4, -112, -67.
-112, -67, -4, -1, -1/3
Sort 1/2, 0.3, -0.2, -9, 173/23 in increasing order.
-9, -0.2, 0.3, 1/2, 173/23
Put 2/5, 14, 10, 2/29, -2/3 in descending order.
14, 10, 2/5, 2/29, -2/3
Sort 13390, -2/13, 13.
-2/13, 13, 13390
Sort 111, -171, -2, -80, 1, 2 in increasing order.
-171, -80, -2, 1, 2, 111
Sort 3376, 672, 61, 2.
2, 61, 672, 3376
Sort -49, 509, 4, -5, 2 in increasing order.
-49, -5, 2, 4, 509
Sort -3, 910544, -7, 0 in descending order.
910544, 0, -3, -7
Put -0.5, -0.3, 34, 38, -205 in descending order.
38, 34, -0.3, -0.5, -205
Put 0, 2, 38, 511, -1, -5 in decreasing order.
511, 38, 2, 0,
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -624. What is the third biggest value in 4/3, 0.1, -1/4, g?
0.1
Let s = -745 - -2985/4. Let o = 4.5 + 1.5. Let i = o - 5.7. What is the second biggest value in s, i, -0.2?
i
Let d = -63/104 - -3/13. What is the third biggest value in 0, d, -4?
-4
Let a = 63 - 50. Let k = -12.5 + a. What is the biggest value in k, -2/11, 4?
4
Suppose 0 = 3*g + w + 23, 0 = 2*g + 3*w + 14 + 6. Let m = g + 11. Let d = 219/2 + -1979/18. What is the biggest value in m, 0, d?
m
Let v(j) = -j**2 - 9*j + 36. Let p be v(-12). Let c be -2 + -1 - (p - 1)*3. What is the biggest value in c, 3, 1/5, -6?
3
Suppose -5*d - 3*y + 12 = -7*y, 3*y = d - 9. Let i be (-24 - -9)/(-1 + d). Which is the third biggest value? (a) i (b) 2/17 (c) 0.2
b
Let n be (-70)/75 + ((-26)/(-10) - 2). Let m be -1*2 - (4 + (-644)/105). What is the third biggest value in 0.06, m, n, 5?
0.06
Let u = 18/13 - 152/91. Let s be -2*((0 - 0) + 1). Let t(a) = -a**2 - 2*a + 2. Let q be t(s). What is the third biggest value in 0, u, q?
u
Let r = 622 + -636. Which is the fourth smallest value? (a) r (b) -0.9 (c) 4 (d) 0.3
c
Let y = -51.4 + 51. Let w(f) = -4*f**3 - 2*f**2 + 3*f + 2. Let d be w(-2). Suppose -2*k - 2*k = -d. Which is the third biggest value? (a) y (b) k (c) 2/3
a
Suppose -2*w = 2*w - 24. Suppose -w*f + f + 1365 = 0. Let g = f - 1915/7. Which is the smallest value? (a) 1/3 (b) g (c) 1
b
Let k = 91 - 171. Let r = -75 - k. Which is the second smallest value? (a) r (b) 1/3 (c) 0.3 (d) -4
c
Let z be 10/(-6)*((-368)/(-190) + -2). What is the biggest value in 4, z, -5/3?
4
Let u = 0.28 + 0.03. Let r = u + -0.01. Suppose 5*d - 23 - 10 = 2*c, -4*c = -4*d + 36. What is the smallest value in r, c, 4?
c
Let u = -1.534 - -3.534. What is the third biggest value in 6, -0.1, u, 14/3?
u
Let n be (-2)/(2*(-1)/(-8)). Suppose 0*f = -5*f + 25. Let z = 3.3 + -3.4. Which is the biggest value? (a) z (b) n (c) f
c
Let u = 112.06 + -0.06. Let q = u - 114. Let m = -0.04 - -0.44. Which is the smallest value? (a) q (b) -2/23 (c) m
a
Let y be -6 + 5 + -22*41/2. Let o = y - -10398/23. Which is the third smallest value? (a) -5/2 (b) 1/2 (c) o
b
Suppose -3*i - 41 = -29. Let o be (39/18 - 1) + 6/i. Which is the third smallest value? (a) 11 (b) -1/7 (c) o
a
Let g = 10.3 + -6. Let t = g + -6. What is the biggest value in 1, 0.3, t?
1
Let f = 6.1 + -4.1. Let o = -1.8 + f. What is the third biggest value in o, -3, 5?
-3
Let v = 3.06 + 1.61. Let h = v + 0.33. Which is the third biggest value? (a) -4 (b) -4/7 (c) 6 (d) h
b
Let y(u) = u**3 + 2*u**2 - 7*u - 11. Let h be y(-3). Which is the third biggest value? (a) 0.002 (b) h (c) -4
c
Let m(k) = -k**3 + 2*k**2 + 4*k - 3. Let f be m(3). Let i = -83 - -83.4. What is the smallest value in i, 0.04, f?
f
Let f = -284 - -283. Which is the second biggest value? (a) 5 (b) -108 (c) f
c
Let g = 3 - 2.8. Let z = 0.11 + -8.11. Let q = -8.3 - z. Which is the smallest value? (a) q (b) -4 (c) g
b
Let d = 141 - 82. What is the second biggest value in -2, d, 0?
0
Suppose 12*f - 2*f = -2*f. Which is the smallest value? (a) -2/3 (b) f (c) -4.4
c
Let g = 0.1 + -0.1. Let n = 0.0925 + -5.0925. Which is the third smallest value? (a) g (b) n (c) 3/4
c
Let u = -4.16 - -8.16. What is the second biggest value in u, 0.3, -95?
0.3
Let l = -23/3 + 7. What is the smallest value in 8, 2/7, 0.5, l?
l
Let v = 2 + -48. Let j = v + 46.3. Which is the second smallest value? (a) 1 (b) -1 (c) j
c
Let p = 215.7 + -210.7. What is the second smallest value in -1/2, p, 5/16?
5/16
Let z be ((-98)/21)/2 - (-2)/6. Let d be z - (-66)/15 - (-6 + 9). What is the second biggest value in -3, d, -0.05?
d
Let w = 5 - -11. Let i = 14 - w. Which is the smallest value? (a) i (b) -2/3 (c) 16/7
a
Suppose -5*t = -4*r - 26, 4*r + 8*t = 3*t - 6. Which is the third smallest value? (a) -0.3 (b) 5/7 (c) r
b
Suppose 0*d = -d + 1. Let h = -3 + d. Let l = -3.2 + 3. What is the second smallest value in h, -1, l?
-1
Let x = 0.321 + -0.261. Which is the third smallest value? (a) 0 (b) -2/9 (c) -2/11 (d) x
a
Let r = 13 - 24. Let d = r + 14. Let s = -1.5 + 2. What is the smallest value in 5, d, s?
s
Let k = -1.8 + 2. Let z be (324/14 + -23)/((-4)/14). Which is the second biggest value? (a) k (b) 5 (c) 3 (d) z
c
Let r = 3.8 + -3.76. Let p = r - 0.03. Which is the biggest value? (a) 3 (b) p (c) 1/4
a
Let x = 55 - 95. Let m = x - -119/3. Let p be 2/11 - (-4 + 316/44). Which is the second biggest value? (a) -0.1 (b) p (c) m
c
Let x be 8/12*(-90)/(-12). What is the third smallest value in -4, x, -68?
x
Let h = -783 + 778. What is the second smallest value in 34, 0, h?
0
Let o be 1/6 + (-22)/132 - 5. Which is the fourth smallest value? (a) -2 (b) -2.8 (c) o (d) -2/7
d
Let d be 3 - (-415)/(-50) - -5. Which is the biggest value? (a) 0.2 (b) 0.4 (c) d
b
Let l = 0.0441 + 2.9559. Suppose 7 - 2 = -x, 0 = 4*b - 5*x - 45. What is the second biggest value in l, 4, b?
4
Let z = 2158 + -2158.1. What is the third smallest value in 0.1, z, -0.067?
0.1
Let m(z) = z**2 + 18*z + 48. Let q be m(-15). Let f = -3 + 1. What is the third smallest value in q, 2/7, f, 0.5?
0.5
Let d be (-2)/7 - (-10)/35. Let z be (1/2)/((-1)/(-4)). Let k = -0.2 - -1.2. Which is the second biggest value? (a) k (b) d (c) z
a
Let o(j) = -14*j + 241. Let q be o(17). What is the biggest value in q, -3, -1/17, -4?
q
Let f = -0.04 - -4.04. Let k be (3 - 44/18)/((-1)/60). Let y = k - -34. What is the smallest value in y, f, 1/3?
1/3
Let j = -2 + 2.1. Let s = -51 + 43.9. Let m = s - -7. Which is the second biggest value? (a) m (b) j (c) -3
a
Let y be 20/35*(-2)/(-8). Which is the second biggest value? (a) y (b) 0 (c) -1/5
b
Let g be 1944/(-14742) + 2/7. Which is the second biggest value? (a) g (b) -4 (c) -1/7
c
Let d be 0 + 2 + (-8)/(-16)*-12. Which is the biggest value? (a) 2 (b) -16/9 (c) d
a
Let s = 1.63 + -2.63. Which is the third biggest value? (a) -2 (b) s (c) -4
c
Let m = -1217 + 1216.8. Which is the third smallest value? (a) m (b) 5 (c) 3 (d) 8.1
b
Let v = 642.5 + -643. What is the second smallest value in v, -0.1, -1/3?
-1/3
Let t = -4.06 + 0.06. Let p = 12566 + -12568. Which is the smallest value? (a) t (b) 1 (c) p
a
Let n be 10 - (-3 - -2)*-2. Let k be (6/n)/(11/(-8)). Let d = k + 29/33. What is the biggest value in 0, -1/10, d?
d
Let g = 22 - 23. Let f be (-33)/33 - 1*-6. What is the third biggest value in 4, 2, g, f?
2
Let h = 1721/7998 + -34/129. Let j = h + -115/186. Let z = 5 + -8. What is the third biggest value in j, z, -2?
z
Let n = 120 + -119.24. Let v = n + -1.06. Which is the biggest value? (a) -2/15 (b) 4 (c) v
b
Let u = -9 - -11. Let k = -13.4 + 18.4. Which is the third smallest value? (a) k (b) 4 (c) -3/7 (d) u
b
Let n(b) = b**3 - 9*b**2 + 11*b - 17. Let m be n(8). Let d be (0 + -5)/(m/(-2)). What is the second biggest value in -4, 3/5, d?
3/5
Let x be (-7)/(-84)*-4 + (-2)/(-42). Let k = 2 - 8. Let l = 5 + k. What is the third biggest value in l, x, 5?
l
Suppose d - 225 + 223 = 0. Let m be d - 4 - (-96)/42. Which is the third biggest value? (a) -2 (b) m (c) -0.5
a
Let m be ((-45)/(-4))/(2574/(-528)). What is the fourth biggest value in 5, 2/5, 4/3, m?
m
Let u = 10.133 + 0.837. Let f = u + 0.03. Which is the smallest value? (a) -4 (b) f (c) 4
a
Let k = -8 + 11. Let f = k + -7. Let s = 4.5 + f. Which is the second smallest value? (a) s (b) -1 (c) 2/5
c
Let i = -1033/10 + 207/2. What is the third smallest value in 1, -0.3, -1, i?
i
Let i = -0.7 + 4.1. Let y = 2.6 + i. Which is the smallest value? (a) -2 (b) 0.4 (c) y
a
Let j = -106 - -316/3. Which is the smallest value? (a) -2/11 (b) -0.2 (c) j (d) 6
c
Let g = 450455 - 6751858/15. Let u = -331 + g. Which is the third smallest value? (a) u (b) 0.1 (c) -1/2
a
Suppose z + 8 - 2 = 0. Let h be 4/z + 32/(-15). Let o = h - -16/5. Which is the third smallest value? (a) -5 (b) o (c) -2/5
b
Let z = 339/4 - 1703/20. Which is the third biggest value? (a) 1 (b) -0.6 (c) z (d) -8
b
Let w = -46 - -25. Let m = 19.989 - -0.011. Let v = m + w. What is the second smallest value in -0.1, v, 2/5?
-0.1
Let y = 3 + -5. Suppose -5*o + 3*o + 543 = -5*w, -551 = 5*w - 4*o. Let f = w + 110. Which is the biggest value? (a) y (b)
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-3) - -4) + 0. Suppose h + 6 = n. Let j = h + 17. Solve -5*g + j + 3 = 0 for g.
3
Let b(q) = q**2 - 6*q - 2. Let f be b(8). Let m be (-115)/(-35) + (-4)/f. Let w be ((-12)/(-9))/(6/18). Solve w = -l + m*l for l.
2
Let p(o) = -o**3 + 4*o**2 + 8*o + 7. Let b be p(5). Solve 12*r = 38 + b for r.
5
Suppose 64*f - 1228 = -140. Let t(w) = 3*w**2 + 2*w - 2*w**2 - 6*w. Let m be t(4). Solve -5*k - 2 + f = m for k.
3
Let y(x) = -24*x + 2. Let t be y(1). Let f = -11 - t. Let p = 15 - f. Solve 12 = p*j + 4 for j.
2
Let l = -386 - -388. Solve -l*a = 134 - 128 for a.
-3
Let n(b) = b + 3. Let m be n(1). Solve -7*u = m*u for u.
0
Let w be (-7)/(1/9*3). Let u = -18 - w. Solve 10 = -u*i + 8*i for i.
2
Suppose 8 = 4*w - 3*u, 9*u = 3*w + 4*u - 6. Solve 2 = w*c - 0 for c.
1
Let l(i) = -5*i + 10. Let z be l(4). Let b(j) = 3*j + 33. Let p be b(z). Solve f - p = 1 for f.
4
Let o(b) = -17*b - 36. Let n(r) = -6*r - 12. Let k(y) = -11*n(y) + 4*o(y). Let l be k(-5). Let a be (-8)/(-24) + l/(-3). Solve -h - a = 2 for h.
-3
Let h(y) = 2*y - 10. Let o = 10 - 5. Let q be h(o). Suppose q*g - g = 0. Solve 0 = -g*k + 3*k for k.
0
Let l(s) = -13*s**3 + 17*s**2 + 2*s - 8. Let g(d) = -7*d**3 + 9*d**2 + d - 4. Let u(c) = 11*g(c) - 6*l(c). Let z be u(4). Solve 3*x - z = -x for x.
4
Let m(t) = 4*t**2 + 2*t - 12. Let z be m(-6). Let k = z + -116. Solve -20 + k = 4*j for j.
-4
Let v(y) = -16*y - 31. Let f be v(-2). Suppose -5*i = -4 - 1. Let d be f + i + 0 + 1. Solve -4 + 7 = -d*s for s.
-1
Let i be -4*(-5)/4*1. Suppose i*s = -18 - 2. Let b be (-6)/s*(-8)/(-6). Solve -3 = b*m + 7 for m.
-5
Let n be -2 - -2 - (-4)/1. Let m(b) = 2*b - 5. Let i be m(n). Let w(l) = 2*l - 2. Let j be w(i). Solve 0 = 2*z - j - 6 for z.
5
Let u(t) = t**3 + 11*t**2 + 2*t + 25. Let h be u(-11). Suppose -3*p - 2*o = -0*o - 13, -3*p = -h*o - 18. Solve -19 = -p*a - 4 for a.
3
Suppose 16*b = 13*b + 45. Suppose -6 = 5*k + 2*p, 0*k - b = 2*k + 5*p. Solve k = 2*q - 4 for q.
2
Let g be (-180)/(-54)*6/10. Solve -5*k + g*k = -0*k for k.
0
Let l = 55 + -48. Suppose l*m - 16 = -2. Solve j = m*j + 2 for j.
-2
Suppose r + 3*r + 28 = 0. Let i be -4 - (r - (4 - 7)). Solve -10 = 2*l - i for l.
-5
Let h = -4 - -9. Suppose -2*j + 4*k - 40 = -6*j, k + 62 = h*j. Let z(v) = v**2 + 4*v + 3. Let y be z(-3). Solve y*a - j = 4*a for a.
-3
Suppose -2*o - 5*t = -26, 4*t - 19 = -5*o + 3*t. Solve -8 = o*m - 5*m for m.
4
Let p be 1 + 3 - 0 - 2. Let b be p/7 + (-360)/(-63). Solve 12 = -b*i + 2*i for i.
-3
Let r = -31 - -35. Suppose r*c = 2*c + 8. Solve -5*n - c = -n for n.
-1
Let n = 96 - 91. Suppose -5 = -r - 2*i + i, n*r = -2*i + 31. Solve -3*u - 1 + r = 0 for u.
2
Suppose 0 = 3*m - 3*g, 3*m + 3*g - 21 = 9. Suppose -3*s - 16 = -3*d - 2*s, 12 = -2*d - m*s. Let q = 35 + -33. Solve -d*p - 4 = -q*p for p.
-2
Let b(m) = m**2 + m + 12. Let u be b(0). Let n(w) = 20*w**2 + 3*w**3 - 8*w**2 - 4*w**3 + 4. Let p be n(u). Solve 2*x + 2*x = -p for x.
-1
Suppose 0 = w + 12*w. Suppose 7*l - 3*l = 12. Suppose -3*p = 15, l*y - 2*p + w*p - 46 = 0. Solve -7*a - y = -3*a for a.
-3
Let a be ((-36)/8 + -1)*-14. Suppose a = 3*n + 2. Solve -4*t - t = n for t.
-5
Suppose -2*z = -24 - 36. Suppose -y + 3*n = -6, 4*y - 24 = -3*n + z. Let f = y - 7. Solve f*a = -6 - 9 for a.
-3
Let q(b) = -3*b**3 - 28*b**2 - 7*b + 25. Let g be q(-9). Solve -g*v = v for v.
0
Suppose 5*b - 84 = -54. Solve -z + 1 = b for z.
-5
Let j(p) = -p**3 + 5*p**2 + 5*p + 9. Let z = -104 + 110. Let v be j(z). Solve 2*i + 10 = -v*i for i.
-2
Let y = 7 + -5. Suppose 14 = 4*q + y. Let l be (-63)/(-14)*4/6. Solve -18 + l = -q*u for u.
5
Let b(h) = 8*h + 391. Let v be b(-48). Solve 4*d + 19 - v = 0 for d.
-3
Let m(u) be the second derivative of -u**3/3 - 17*u**2/2 - 14*u. Let w be m(-13). Solve -k = -4*k + w for k.
3
Let c(h) be the first derivative of h**4/4 - 7*h**3/3 - h**2/2 + 8*h + 37. Let t be c(7). Solve 0 = 2*j + t + 1 for j.
-1
Suppose -8*o = -0*o. Let j be o/(1 - (0 - -3)). Solve -5*l + 3*l = j for l.
0
Let b be (-8 + -1)*1/1. Let c(r) = r**2 + 2*r - 1. Let d be c(-3). Let n be (b/9)/(d/(-6)). Solve -3 - n = 2*g for g.
-3
Suppose -3*p + 9 + 21 = 0. Let i be (-8)/32 - 6/8. Let z = i + p. Solve -z = -v - 2*v for v.
3
Let w = -126 + 146. Let p be w/(-8)*(-48)/15. Solve -5*l = 2 + p for l.
-2
Let t be (-10)/(-3) - 2/6. Suppose 30 = t*z - 60. Suppose -9*n + z = -4*n. Solve y - 3*y = n for y.
-3
Suppose 0 = -5*j - 4*i + 75, 0*j - 32 = -2*j - 2*i. Suppose -3*x - j = -17. Solve x*c - 7 + 11 = 0 for c.
-2
Suppose -3*x = 9, 4*x - 6*x = 2*g - 144. Let r = 78 - g. Solve d - 5 + r = 0 for d.
2
Let l(j) be the third derivative of -j**4/24 + 5*j**3/2 - 4*j**2. Let u be l(9). Suppose 0 = u*v - v. Solve -q = -v*q for q.
0
Suppose 0 = -b - 5*b + 18. Suppose 4*v + 27 = b*l - 1, 3*v + 54 = 5*l. Let c be (4/7)/(l/42). Solve 0 = -g - c*g for g.
0
Let x(k) = -k**3 - 8*k**2 - 14*k - 6. Let u be x(-6). Solve u*q = 7*q + 5 for q.
-5
Let g(m) be the second derivative of -m**3/3 - 11*m**2 - 29*m. Let h be g(-14). Let t be 1/(-1) - (-1 + -2). Solve -12 = -t*j + h*j for j.
-3
Suppose 4*v + 5*g - 5 = 3*v, -3*g = 2*v - 3. Let d(t) = -t**3 + 6*t**2 - 5*t + 4. Let n be d(4). Suppose 2*x = x + n. Solve v = -3*c + 4 - x for c.
-4
Let d = -105 - -101. Let b(m) = m + 4. Let t be b(d). Solve t*o = -2*o + 4 for o.
2
Suppose -14*w + 12 = -58. Suppose -w*c + 6 = 3*r - 4*c, 6 = r - c. Solve r*o + 2 = o for o.
-1
Let q be (-7 + -1)/(5 - 3). Let v(r) = r + 7. Let y be v(q). Suppose 6*k - 12 = n + 3*k, -5*n + y*k = 12. Solve -3*d - d = n for d.
0
Let z = 45 - 51. Let r be (z/4)/((-3)/8). Solve -r*x = -x for x.
0
Let u = 291 - 287. Solve -n - 5 = u*n for n.
-1
Let h = 17 + -8. Let g = 0 - 0. Suppose g = 5*n - 0*n. Solve h + n = -3*r for r.
-3
Let f(v) = v**2 - 5*v - 5. Let n be f(4). Let r = n - -18. Suppose -8 = -4*p - o + r, -4*o = 2*p - 12. Solve -15 = t - p*t for t.
5
Let n = -19 + 18. Let r be n - ((-40)/5)/4. Solve u + 4 + r = 0 for u.
-5
Let d = 46 - 50. Let g be ((-3)/d)/(33/88). Solve g*v + 4 + 0 = 0 for v.
-2
Suppose 135*z - 4 = 131*z. Suppose 2*m + 2 = 8. Solve -o = z - m for o.
2
Let c = 200 + -184. Solve -c*t + 12*t + 4 = 0 for t.
1
Suppose 175 = 4*o - b, o + 132 = 4*o - b. Let w = -40 + o. Solve w*r = 4*r for r.
0
Let d be (-1 + (5 - 2))*(-26 - -32). Solve 25 = 7*z - d*z for z.
-5
Suppose -8 = -t - 2. Suppose t*i = 5*i + 2. Solve -i*b = -1 - 1 for b.
1
Suppose 4*s = 5 + 3. Suppose -5*c = -s*l - 11, 7 = -4*c + 3*l + 20. Suppose 9 - c = 4*j. Solve 0 = j*w - 4 - 2 for w.
3
Let t = 200 - 196. Solve -t*g = g - 5 for g.
1
Let p(s) = 5*s + 82. Let y be p(-17). Let a(u) be the first derivative of u**3/3 + u**2/2 - u + 1. Let g be a(y). Solve f + 4*f + g = 0 for f.
-1
Let l be -1 + (-6 + 2 - -2). Let j = l - -7. Let a = -186 + 186. Solve a = -0*n - n + j for n.
4
Let y = -63 - -79. Solve -4*z - y = -4 for z.
-3
Let q(f) = f**3 + f**2 + f + 562. Let n be q(0). Suppose 4*d - 56 = b + 66, -n = 5*b + 4*d. Let v be b/(-7) - (-14)/(-49). Solve j - v = -3*j for j.
4
Let p = -14 - -15. Let k = 14 + -10. Let m be k/(-18) + (-47)/(-9). Solve 2*f = -m + p for f.
-2
Let m = 0 - -8. Suppose 6*y + 18 - 48 = 0. Solve -y*l + 3 = m for l.
-1
Suppose -2*k - q - 20 = q, 3*k + q = -20. Let r = -2 - k. Suppose 0*w - 300 = -30*w. Solve 2*n - w = -r*n for n.
2
Let g be -8*1/(-2)*(-20)/(-16). Solve 7*b - g*b + 8 = 0 for b.
-4
Suppose -32 = 4*i - 2*i. Let d = i + 15. Let q(m) = -4*m**3 + m**2 - m - 1. Let c be q(d). Solve z + 1 = c for z.
4
Suppose 0 = -p - 0*p + 2*c + 7, -2*p + c + 8 = 0. Solve -p = -l - 0 for l.
3
Let g be -1 - 2 - 222/(-6). Solve 0 = 40*l - g*l - 6 for l.
1
Let m(s) = 8*s**2 - s + 2. Let c be m(2). Let y be (-7)/((-14)/(-10))*-6. Let q = c - y. Solve q = -3*n + 2*n for n.
-2
Let x be (-16)/72 - 40/(-18). Suppose 15 = x*g + g. Solve -g*f = -f for f.
0
Let b(r) = r + 5. Let m be b(-2). Suppose m*l + 0*l - 6 = 0. Solve 4*p = 3*p - l for p.
-2
Suppose -h = -2*m - 6, -2*h - 5*m + 3 = -3*h. Suppose -2*b - 4*t = h, -3*t = 2*b - t + 6. Solve b = c - 2*c for c.
0
Suppose 2*x = -5 + 5. Solve x = -3*c + 9 + 6 for c.
5
Suppose -46*w = -47*w + 11. Let f = -7 + w. Solve 16 = -0*t + f*t for t.
4
Suppose l + 7 - 17 = 0. Suppose i - 1 = -4*t + 6, 2*i + l = 0. Solve -t = -g + 1 for g.
4
Suppose -4*q - 5 = x, -q - 2 = -5*x - 27. Let w = -463 + 467. Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
, -1, p, b in increasing order.
b, -1, 2, p
Let a = -98 - -59. Let x = a - -35. Sort 5, 4, 0, x.
x, 0, 4, 5
Let b = -12.22 + 12.42. Put 2/15, b, 1/33 in descending order.
b, 2/15, 1/33
Let p = 5476 - 5471. Let a = -0.2 + 0.25. Put a, -2/7, 3/2, p in ascending order.
-2/7, a, 3/2, p
Let y = -2.27 - 2.73. Let j be (67/34 + -2)*-4. Sort -8, y, j.
-8, y, j
Suppose 11*k - 8 = 25. Let l(x) = -2*x**3 - 4*x**2 - 3*x - 1. Let w be l(-2). Put -4, w, k, -1 in descending order.
w, k, -1, -4
Let g be ((-20)/4 - (-10)/1) + -1. Put 0, g, 2, 3 in decreasing order.
g, 3, 2, 0
Suppose 4*b = 47 + 1. Suppose -1305 = -32*u - 0*u - 229*u. Sort u, b, -1 in ascending order.
-1, u, b
Let d = -3/14 + 5/7. Let j = -18 - -38. Let p = j + -25. Put 2/3, d, p in decreasing order.
2/3, d, p
Let r be (108/16 + 0)*4. Let t = 19/2 + -10. Sort r, -2, t in descending order.
r, t, -2
Let o be 9/(-2)*(-8)/6. Suppose 8*u = 11*u + o. Let p be 4 - 2*(-1)/(-1). Sort u, 3, p in descending order.
3, p, u
Let f = 19/15 + -21/10. Put -3, 0.4, -5, f in ascending order.
-5, -3, f, 0.4
Let v = 98 + -99. Let l = 26.5 + -27. Put -5, 2/9, v, l in ascending order.
-5, v, l, 2/9
Suppose -5*t + 161 + 74 = 0. Suppose -o + 165 = 5*w, -o - w - t + 192 = 0. Let b = o + -1399/10. Sort 2, b, -0.1 in descending order.
2, b, -0.1
Let z(r) = 6*r - 16. Let j be z(8). Let u = j + -36. Let t = 4 - 3.9. Put u, t, 2 in ascending order.
u, t, 2
Suppose t = -4*c - 47, -7*c + 110 = -5*t - 2*c. Put -4, t, -5 in descending order.
-4, -5, t
Let g = 2.3 + -1.4. Let z = g - 0.9. Let b = 13.4 - 13. Put z, 4, b in decreasing order.
4, b, z
Suppose 4*v = 2*m + 74, 47*m = 4*v + 52*m - 95. Put 3, 2, v, 4 in ascending order.
2, 3, 4, v
Let u = -1.02 - -0.02. Let c be 11*3*26/(-39). Let s be (45/30)/(c/(-8) + 1). Sort -5, u, s in decreasing order.
s, u, -5
Suppose -164*d + 158*d + 6 = 0. Put d, 3, 0, 8 in descending order.
8, 3, d, 0
Suppose -3*v = -1 - 11. Suppose -14 = v*f - 18. Put 89, f, -3 in increasing order.
-3, f, 89
Let r be 27/7 + ((-29)/(-7) - 4). Let j be 66/(-16) + r + (-1)/(-4). Put 1/6, -1, j in decreasing order.
1/6, j, -1
Let q be 0 + 38 - 14/(-7). Suppose -2*g - 2*b + 48 = 0, -2*g + 5*b + q = g. Let j be g/(-21) - 16/(-24). Sort 0.5, j, 6/7 in descending order.
6/7, 0.5, j
Let n = -441.1 - -438.1. Let q = 0.23 + -9.23. Put 1, q, n in ascending order.
q, n, 1
Let m = 1.34 + -1.74. Put 0.4, -3, m, 5 in descending order.
5, 0.4, m, -3
Let q be (-24)/(-4) + 13/(260/(-128)). Put q, 3/4, -143/3, 4 in descending order.
4, 3/4, q, -143/3
Let b = -5.235 + 0.235. Sort 1/19, b, -1/2 in decreasing order.
1/19, -1/2, b
Let r be -46 + 1 + 1 - (-5 - -10). Put -4, -1, r in descending order.
-1, -4, r
Suppose 0 = 3*s - 4 - 11. Suppose -2 = -3*y - 5. Sort 4, s, y in decreasing order.
s, 4, y
Suppose 2*o = -4*i - 2*o + 8, -3*o = -4*i + 8. Let r(d) = -d**3 - 4*d**2 - 3*d - 9. Let z be r(-4). Put 17, z, i in descending order.
17, z, i
Suppose 3*i - u - 7 = 16, -i + 3*u - 3 = 0. Let r(k) = k**2 - 3*k - 4. Let d be r(3). Put -1, d, i in decreasing order.
i, -1, d
Let o(i) = 24*i**2 - i - 1. Let b be o(-1). Let y = 95 + -64. Suppose -11 + y = l - 5*x, 3*x = 3*l - b. Put -2, 1, l in decreasing order.
l, 1, -2
Let n = 19 + -85. Let r = n - -62. Sort r, -1/17, -1/5.
r, -1/5, -1/17
Let l = 3 + -8. Let n(z) = z**3 + 5*z**2 + 4*z - 1. Let g be n(-3). Suppose 0*b = -g*b. Sort 8, b, l in ascending order.
l, b, 8
Let j be ((-4)/8)/((-2)/28). Let s = j + -1. Suppose -5*l + 2*w = 3, -12 = -4*w + w. Put s, 5, l in increasing order.
l, 5, s
Let u = 0.525 + -0.615. Put 0.12, 5, -0.5, u in ascending order.
-0.5, u, 0.12, 5
Let w(s) = -s**3 - 15*s**2 - 24*s + 27. Let b be w(-13). Suppose -4*g - 2*k = 16, -2*k - 8 = -0*k. Sort 2, g, b, -5 in increasing order.
-5, g, b, 2
Let t be 9 - (5 - 2 - -1). Let h be (2/3)/(8/120). Let y be (-84)/15 + (-4)/h. Sort t, y, -2.
y, -2, t
Let k = 0 - 1. Suppose 2*a = 2*l - 34, l + 4*a = 9*a + 13. Suppose 0 = -l*p + 13 - 103. Sort -4, k, p in ascending order.
p, -4, k
Let h be (133/(-3))/(2/(-6)). Let s be (-14)/(-49) - 36/h. Let d = s + 17/133. Sort -1, 2, d in ascending order.
-1, d, 2
Suppose 0 = -5*q + 45 - 30. Put -8, q, -1, 1 in increasing order.
-8, -1, 1, q
Let r = 36 - 34. Let i be ((5/2)/5)/(1/r). Put 5, i, -2 in decreasing order.
5, i, -2
Suppose 3*p = -2*q + 5*q + 3, -4 = -4*p. Sort 8, -2/19, -2, q in decreasing order.
8, q, -2/19, -2
Suppose -1 = -i, 0*i - 1 = o + 2*i. Sort o, 5, 17.
o, 5, 17
Let k be (0 + -1)*1 + 2. Suppose 4*p + 9 - 13 = t, 0 = -4*t - 3*p + 22. Sort t, -5, k, 3 in increasing order.
-5, k, 3, t
Suppose -3*s - 40 = -5*y, -2*s - 16 = -5*y + 19. Sort 0, y, -51.
-51, 0, y
Suppose -2*q = -2*r + 2, -8*q + 3 = -r - 6*q. Sort 17, r, -3 in increasing order.
-3, r, 17
Let y(r) = -r - 1. Let s be y(3). Let z = -201 + 204. Put s, 2, -2, z in decreasing order.
z, 2, -2, s
Let n = 1115 + -1113. Sort n, -3, 7, 8 in decreasing order.
8, 7, n, -3
Let k(i) = i**2 - i - 11. Let u be k(6). Sort -4, 5, u in descending order.
u, 5, -4
Let b(j) = -j**3 + 11*j**2 - 28*j - 5. Let c be b(7). Sort -4, -24, c in increasing order.
-24, c, -4
Let z = 35 + -103. Let m = -273/4 - z. Sort m, -2, -1/5.
-2, m, -1/5
Let p(w) = w**2 - 5*w + 3. Let c be p(3). Let k be -7*(c - (-90)/35). Sort 1, k, 5 in decreasing order.
5, k, 1
Let m be (-16)/(-6)*21/(-14). Let c = -2 + 2. Sort m, 33, c.
m, c, 33
Let z be ((-15)/(-50))/((-6)/60). Put z, -2/21, -2/9, -1/7 in descending order.
-2/21, -1/7, -2/9, z
Let g = 3 - 0. Suppose -g*o + 20 = o. Let j = -22 + 22.2. Sort j, -0.1, o in decreasing order.
o, j, -0.1
Let k(l) = -2*l - 19. Let f be k(-11). Let s = 0.44 - -0.06. Let z = s - 0.4. Sort z, f, -1 in descending order.
f, z, -1
Let s = 115 + -113. Sort 1, s, 3.
1, s, 3
Let h = 0 + 1. Suppose -3*q - 15 = 3*t, -2*q - t - 21 = 3*q. Let z be 7/(14/q) + -3 + 5. Put z, -1, h in descending order.
h, z, -1
Let m = 2.38 + -1.38. Put -1, m, 4, 5 in descending order.
5, 4, m, -1
Let v(o) = -o**2 + 9*o - 1. Let j be v(9). Sort -6, 1, -2, j in decreasing order.
1, j, -2, -6
Suppose -14*c + 128 = -18*c. Let y = 35 + c. Put -4, 0.5, 0, y in decreasing order.
y, 0.5, 0, -4
Let v(f) = f + 8. Let q be v(-6). Put -81, -4, q in decreasing order.
q, -4, -81
Let o = 19 + -19. Let a be (o - -1) + (16/(-12))/1. Sort -0.1, a, 1, -11.
-11, a, -0.1, 1
Suppose 15*h = 42 + 3. Put -4, h, 36 in ascending order.
-4, h, 36
Let u(j) = 2*j**2 + 26*j + 54. Let m be u(-8). Put m, -3/5, 4, 2/11 in decreasing order.
4, 2/11, -3/5, m
Suppose 5*z = 25, 14*k + 4*z = 19*k. Put 6, 0.5, k, 0.4 in increasing order.
0.4, 0.5, k, 6
Let x be (108/(-10))/2 - -21*(-19)/665. Suppose 3*g + 0*t = t - 231, -3*t = 9. Let y be g/21 + 2/(-7). Put y, 5, x in descending order.
5, y, x
Let b(s) = -s**3 - 19*s**2 - 17*s + 16. Let t be b(-18). Let o be (0 - (-17)/5) + (-75)/(-125). Sort o, 0, -4, t in increasing order.
-4, t, 0, o
Let s be ((-3)/4)/((-12)/144). Let g = s + -3. Let y = g + -4. Put 5, y, 0 in ascending order.
0, y, 5
Let k = -1152 - -1147. Put -2/11, 0.1, k, -4 in increasing order.
k, -4, -2/11, 0.1
Let b = 12 + -20. Let v = 501 + -499. Let x = -1 + 1.5. Sort v, b, x in descending order.
v, x, b
Let j be (-1 - (-10)/(-8))*704/(-66). Sort -5, 1, j in decreasing order.
j, 1, -5
Let h be (12/3*(-1)/3)/6. Sort -0.1, -4, h in decreasing order.
-0.1, h, -4
Let j be ((-2)/(-7))/2 - (-2832)/(-28). Let s = j + 103. Sort 0.3, 6/11, -4/7, s in ascending order.
-4/7, 0.3, 6/11, s
Suppose 3*n + 2*n + 2 = 4*t, 0 = -4*t - 2*n - 12. Let b be (-3 - (-1 + -1))*t. Suppose -1497 + 1618 = -11*i. Put 4, b, i in ascending order.
i, b, 4
Suppose f - 25 = 6*f. Let h be 2/f - (-46)/(-10). Suppose 16 = -0*c - 4*c - 5*s, -2*s + 8 = -2*c. Sort h, -2/13, c in descending order.
-2/13, c, h
Suppose 20 = 7*v - 8. Suppose 4*h + v - 40 = -4*a, 2*a - 33 = -5*h. Sort -2, 2, a, 1.
-2, 1, 2, a
Let a = 73 + -70. Suppose -a*i - 2*o + 4 + 11 = 0, 32 = 5*i + o. Sort 3, 2, i, -4 in ascending order.
-4, 2, 3, i
Let i = 1/119 + -5/17. Let r(s) = -s - 3. Let c = -16 - -11. Let n be r(c). Sort -2, i, n in descending order.
n, i, -2
Let s(j) = j**2 + 4*j - 3. Let p be s(3). Let n = p - 16. Suppose 3*t = -2*t + 3*w - 26, w = n. Put 4, t, -5 in descending order.
4, t, -5
Let t = -9 + 14. Let s = -136.5 - -136.5. Sort 1/6, s,
|
{
"pile_set_name": "DM Mathematics"
}
|
t d = 83.414 + -45.752. Round d to the nearest ten.
40
Let c = -5691 - -5683.198. What is c rounded to 1 decimal place?
-7.8
Let n = -2188013 - 774587. What is n rounded to the nearest 10000?
-2960000
Let m = -0.366 + 145.266. Let y = -150.73 + m. Let v = y + 6. Round v to 2 dps.
0.17
Let g = 4.1896 + 0.0804. Let b = g + -4.26998. Round b to five decimal places.
0.00002
Let a = -632.932165 + 602.2319. Let f = 30.7 + a. Round f to four dps.
-0.0003
Let x = -2333933 + 2333983.000021. Let s = 3.5 - -46.5. Let a = s - x. Round a to five dps.
-0.00002
Let f = 963331.0639854 - 963210.064. Let w = -120.901 - 0.099. Let a = w + f. What is a rounded to 6 dps?
-0.000015
Let d = -5791 + 5413.26. What is d rounded to 0 dps?
-378
Let o = -9670 - -9669.84272. What is o rounded to 2 decimal places?
-0.16
Let v(g) = -1897*g**2 + 28*g - 15. Suppose -32*z + 42*z = 50. Let q be v(z). What is q rounded to the nearest 1000?
-47000
Let x = 2.6914 + 335.6886. What is x rounded to zero decimal places?
338
Let j = 7107 - 7106.991313. Round j to four decimal places.
0.0087
Let y = -1.85 - -1.969. Let r = -0.157 - y. Round r to 1 dp.
-0.3
Suppose -7614005 = -50*m - 0*m + 23485995. Round m to the nearest 1000000.
1000000
Let n = -773 - -1138. Let z = -440.6 + n. Let a = -75.600000798 - z. What is a rounded to seven decimal places?
-0.0000008
Suppose -5*t = 3*m - 350580, 5*t - 215595 - 134985 = 3*m. Let r = t - 145116. Round r to the nearest one hundred thousand.
-100000
Let c = 0.006 - 363.006. Let w = 362.999811 + c. Round w to four dps.
-0.0002
Let i = -375719.8464568 - -375720. Let k = i - -16.8473468. Let d = -17 + k. What is d rounded to 4 dps?
0.0009
Suppose -136134085 = 50*u + 71958516 - 36392601. Round u to the nearest 100000.
-3400000
Suppose -3*u - 5*q - 2660040040 = 0, 15*q - 20*q - 886680040 = u. What is u rounded to the nearest 1000000?
-887000000
Let a = -5.13 + 0.13. Let f = -4.977 - a. Let y = f + 0.013. Round y to two decimal places.
0.04
Let h = -3991.0735 - -3991. Let q = -167.5 - -167.9765. Let n = h + q. What is n rounded to two dps?
0.4
Suppose -150*q - 4870105 = 12718895. Round q to the nearest 10000.
-120000
Let h = -1812 - -1735. Let m = -98.4 - -10.8. Let j = m - h. Round j to the nearest ten.
-10
Let g = -0.050908238 - -0.0509. What is g rounded to six decimal places?
-0.000008
Let b = -0.0433 - -2299.0433. Let p = b - 2299.01966. What is p rounded to three dps?
-0.02
Let j(x) be the second derivative of -27350*x**5 - 6*x + 14. Let s be j(-1). Round s to the nearest 10000.
550000
Let h(m) = -15*m - 4. Let u be h(-3). Let l = 46 - u. Suppose -675 = l*t - 130. Round t to the nearest 10.
-110
Suppose 12 = -3*m + 5*m. Suppose 3*i - m = 0, -2*h - 4*i + i + 24 = 0. Let u(o) = 11887*o + 17. Let f be u(h). What is f rounded to the nearest ten thousand?
110000
Let v(n) = -34006*n - 2550. Let x be v(-5). What is x rounded to the nearest one thousand?
167000
Let y = 12666.7 + -12666.762233. Round y to 4 decimal places.
-0.0622
Let z = 0.02539986005 - 0.0254. Round z to seven decimal places.
-0.0000001
Let j = -127780 - -221380. Round j to the nearest one hundred thousand.
100000
Let o = -28546.758 + 28544. What is o rounded to the nearest 10?
0
Let q = 1215 - 1215.00001237. What is q rounded to six decimal places?
-0.000012
Let k(b) = -442*b**3 + b - 10 + 189*b**3 - 120*b**3 + 10*b**2. Let g be k(10). What is g rounded to the nearest 10000?
-370000
Let f be (72/42)/(1/511). Round f to the nearest 100.
900
Let u = 41.77 - 45.3746. What is u rounded to 1 dp?
-3.6
Let w = 3316.44 + -3254. Let m = 54.1 - w. Round m to the nearest integer.
-8
Let s(h) = -74579*h + 13636. Let b be s(-216). Round b to the nearest one million.
16000000
Let t = 0.03968082205 + -2700.03955872205. Let v = t - -2700. Round v to five decimal places.
0.00012
Let u = -9290568 + 4521568. What is u rounded to the nearest 100000?
-4800000
Let c = 2443.4 + -2396.393. Let y = c - 47. Let x = -0.006922 + y. What is x rounded to five decimal places?
0.00008
Let i = -3306.5 - -2546. Let a = i + 734. What is a rounded to the nearest 10?
-30
Let o = -14945396 + 7442838. Let h = -17352558 - o. Round h to the nearest 100000.
-9900000
Let o = -238.84 + 242. Let v = o - 3.16018. Round v to four dps.
-0.0002
Let j be 101/5 + -1 - (-5)/(-25). Let w(k) = -k**2 + 20*k - 17. Let l be w(j). Suppose z = 7*s - 3*s - 1087, -l*z = -5*s + 1358. Round s to the nearest ten.
270
Let m = -823.33 + 878.7. Let y = 0.37 - m. Let a = -47.8 - y. What is a rounded to 0 dps?
7
Let f = 24.4366 + -0.5746. Round f to one dp.
23.9
Let y = -0.107 + 0.061. Let w = 0.205 + -0.146. Let r = y + w. Round r to 2 dps.
0.01
Let v = 80.16 + -80.31908. Let c = -2 - -1.84. Let j = c - v. Round j to four decimal places.
-0.0009
Let n = 94.31 + -93. Let s = -0.67 - n. Let a = -0.22 + s. Round a to the nearest integer.
-2
Suppose 2*y = y - 4*l + 70820, y = -2*l + 70810. Suppose -15*v = -12*v + y. What is v rounded to the nearest 10000?
-20000
Suppose -12*t + 67*t = -1107590000. What is t rounded to the nearest one million?
-20000000
Let s = -7.423321631 + 84.423322291. Let k = -152 + 75. Let u = s + k. Round u to six dps.
0.000001
Let k = -10.53132 + 0.01332. Round k to two decimal places.
-10.52
Let t = 15504 - 15503.47125. Round t to one dp.
0.5
Let u = -6.27233080792 + -608.72767030608. Let w = -615 - u. What is w rounded to seven dps?
0.0000011
Let o be (0 - (-4850)/(-3))/((-2)/(-89640)). Round o to the nearest 100000.
-72500000
Let q = -466.8 - -75.8. Let d = q - -390.99026. Round d to 4 dps.
-0.0097
Suppose 2*i - 5*x = -87368015, -143*i + 218419997 = -148*i - x. What is i rounded to the nearest one hundred thousand?
-43700000
Let h = 0.0270926 + -0.0271228847. What is h rounded to seven decimal places?
-0.0000303
Let u = 4809 + -4808.9999979639. Round u to seven dps.
0.000002
Let i = 66.577 + -35.596. Round i to the nearest 10.
30
Let p(h) = 15*h**2 + 36*h - 215. Let w(l) = 7*l**2 + 17*l - 107. Let g(b) = 2*p(b) - 5*w(b). Let n be g(11). What is n rounded to the nearest 10?
-640
Let y = -112 - -96.8. Let v = y - -6.16. Round v to one dp.
-9
Let g = 1.83 + -1.623. Let q = -0.2151 + g. What is q rounded to three decimal places?
-0.008
Let z = 1.1825052 - 1.1858. Round z to 5 dps.
-0.00329
Let a be (-3 - 0) + (-30)/(-5). Let q(o) = -49*o - 31. Let r be q(-20). Suppose 0 = -a*l + 7901 + r. What is l rounded to the nearest 1000?
3000
Let y = 6562 - 6561.6664. What is y rounded to 2 dps?
0.33
Let j(i) = 9411*i**3 + 1 + 8*i + 40*i**2 - 35*i**2 - 5. Let k be j(6). What is k rounded to the nearest 100000?
2000000
Let b = -461.6399 - -885.6448. Let f = 424 - b. What is f rounded to 3 decimal places?
-0.005
Let y = 4057 + -4059.4766. Round y to the nearest integer.
-2
Let z = 32.428125386 + -32.428. Round z to 5 dps.
0.00013
Let k = 46.04707 - -0.12093. Let d = -0.032 - k. Round d to the nearest 10.
-50
Let k = -866 - -1331.8. Let h = k + -495.813. Let d = h - -30. What is d rounded to two decimal places?
-0.01
Suppose 5 = -i, -x - i + 40268 = 16404. Suppose -6*a + x - 8101 = 0. What is a rounded to the nearest 100?
2600
Let d be (-10)/(120/(-14215437)) + 6/(-8). Suppose -47*l - 319349 = -d. Round l to the nearest 100.
18400
Let b = 116 + -125.4. Let g = b + 9.662. Round g to one decimal place.
0.3
Let n = -140760 + 260760. Round n to the nearest 100000.
100000
Let x = 56 + -53. Let i(h) = -x - 7*h + h + 0 + 11*h. Let j be i(-5). Round j to 0 decimal places.
-28
Let g = 1.1291 - -0.0929. Let d = g + -1.22201099. What is d rounded to 6 dps?
-0.000011
Let b = -4.36 + 4.7. Let s = -0.117 + b. What is s rounded to two dps?
0.22
Suppose -110*d - 34340467 = -99*d + 24509533. Round d to the nearest one hundred thousand.
-5400000
Let h(n) = -232828*n - 19. Let v be h(7). Let y = v + 664099. Let j = 674716 + y. What is j rounded to the nearest 100000?
-300000
Let x = 0.7 - -5.3. Let r = -25 - x. Let d = r - -30.99973. Round d to five decimal places.
-0.00027
Let s = 9.30659 - -0.06221. Round s to the nearest integer.
9
Let j = -331135602236066 + 331135616890199.000000704. Let a = -14654130 + j. Let u = 3 - a. What is u rounded to 7 decimal places?
-0.0000007
Let f = 377357.5072 + -1.5072. Let c = f - 377364.2000225. Let i = 8.2 + c. Round i to six d
|
{
"pile_set_name": "DM Mathematics"
}
|
x
Let p = 1/13 - -1/13. Let k = 152 - 157. Let o be 3/(-2 - -17) - 49/k. Put o, p, 0 in increasing order.
0, p, o
Let l be (-428)/(-48) - 6/(-8). Let b = 503/4 - 253/2. Put b, -1/3, -5, l in decreasing order.
l, -1/3, b, -5
Let s be 5 + -8*(-216)/(-192). Sort 21, -33, s, 2 in ascending order.
-33, s, 2, 21
Let t(f) = 28*f + 10. Let w be t(-1). Let i be (w/12)/(3/(-2)). Sort i, -3, -0.28 in decreasing order.
i, -0.28, -3
Let p be -3 + 69/12 - 3. Let w = -581671/11 + 53086. Let l = -207 + w. Put l, p, 1/6, 0.4 in descending order.
0.4, 1/6, l, p
Let s be 105/63*4/(-80). Let z = 0.03 + -2.03. Let x = 1.6 + z. Put s, x, -5 in decreasing order.
s, x, -5
Let c = -1399 + 1457.3. Let v = 58.4 - c. Put 0.12, v, 1 in descending order.
1, 0.12, v
Let f be ((-3)/4)/((-2)/8). Let q(l) = l**2 + 107*l - 676. Let w be q(6). Suppose -f*t = -0*t - w*t. Put t, 0.5, -2/7, 3 in increasing order.
-2/7, t, 0.5, 3
Let y = 493/3 - 163. Suppose 0 = 4*f + 4*f + 8. Let u = f + y. Sort u, -2/7, 0.4 in increasing order.
-2/7, u, 0.4
Let f(m) = 2*m**3 + 5*m**2 + 9*m + 143. Let r be f(-8). Put 3, r, -5 in descending order.
3, -5, r
Suppose -7*c = -262 + 248. Let i(o) = o**2 - 10. Let u(g) = -g**2 + g + 11. Let y(w) = 6*i(w) + 5*u(w). Let d be y(-5). Sort c, d, 3/7, -2 in decreasing order.
c, 3/7, -2, d
Let l be (-6)/(14/(-4) - -2). Let o be -3*((-125)/(-15) + -10). Suppose 9*m = l*m + o. Put -1, 2, m, -7 in increasing order.
-7, -1, m, 2
Let u(g) = g**2 + 2*g - 80. Let x be u(8). Let o = 0.1272 + 0.2728. Sort o, x, 12, 0.02 in descending order.
12, o, 0.02, x
Suppose -3 - 6 = -9*b. Let z be (-2 - 6*(-1)/4)/b. Put 2/3, 13, 4, z in descending order.
13, 4, 2/3, z
Let q = 2.01 + 34.89. Let a = -40.9 + q. Suppose -2*o = -2*b - 16, 4 = -3*b - 2*o + o. Sort b, a, 4/9 in decreasing order.
4/9, b, a
Let g = -0.03 + 0.06. Let k = g - -0.27. Let o = -0.18067 - -0.58067. Sort 1, k, 5/3, o in increasing order.
k, o, 1, 5/3
Let l = 118.17607 - 0.17607. Sort 0.3, -0.1, l in descending order.
l, 0.3, -0.1
Suppose 99929*y = 99776*y - 459. Let a = -1 - -2. Sort a, y, 2, 4.
y, a, 2, 4
Let j = 1227 - 1270. Let a be (-6)/(-9)*(-63)/14. Put -1, a, j in decreasing order.
-1, a, j
Let w be (291/485)/((-12)/(-360)*(2 - 0)). Sort -6, w, 2, 1.5.
-6, 1.5, 2, w
Suppose -5*u - 7*m + 4*m + 35 = 0, 0 = -4*u + 4*m - 4. Let y be -4*((0 - 0) + -2). Put y, 5, -2, u in increasing order.
-2, u, 5, y
Let a(x) = -x**2 - 12*x - 31. Let y be a(-7). Suppose 2*f - 4*j = -12, -f - y*j - j + 22 = 0. Put -1, f, 0, -2 in decreasing order.
f, 0, -1, -2
Let m be (-25 - -26) + (-21)/23. Suppose -4*h = -5*i + 4, -3*h - 5 = -i - 2. Put 2, i, -4/3, m in descending order.
2, m, i, -4/3
Let f(q) = 181*q + 2477. Let y be f(-14). Put 2, y, -48 in descending order.
2, -48, y
Let x(q) = 1. Let a(h) = 57*h - 14. Let p(g) = a(g) + 6*x(g). Let o be p(3). Suppose -2*i + o = 153. Put i, 4, -15, 1 in decreasing order.
i, 4, 1, -15
Suppose 35*t = 24*t. Suppose t = -16*b - 54 + 70. Sort -3, 2.5, b, 2/3 in descending order.
2.5, b, 2/3, -3
Let i = 5.13 - 4.13. Let p = -28.1 - -27.7. Put i, 4, p, 1/7 in decreasing order.
4, i, 1/7, p
Suppose 0 = 3*l + v + 52, -4*l - 2*v - 68 = -v. Let q be l/((-336)/(-813)) + (-2)/7. Put 6, 3, q in decreasing order.
6, 3, q
Let c = 25169 + -25021. Sort c, 12, 2 in increasing order.
2, 12, c
Let b = 21 - 21. Suppose 0 = -7*d - 17 + 52. Put d, -1, b in decreasing order.
d, b, -1
Let s = -1504 + 13532/9. Let t = -25.7 + 26. Sort s, -4/5, t, 1 in decreasing order.
1, t, s, -4/5
Let b(t) = -42*t - 4. Let l be b(0). Put 14, 3, l, 6, -5 in decreasing order.
14, 6, 3, l, -5
Let a = -465 - -468. Suppose -5*g - 425 = 4*j - 21, 315 = -4*g + 5*j. Let s be 1/3 - g/(-6). Put a, s, -4 in descending order.
a, -4, s
Suppose q - 2*b + 5*b = -19, 2*b - 6 = 0. Let s = -21 + q. Let i = s - -54. Put -4, -24, i in descending order.
i, -4, -24
Suppose 3*y = -4*u + 90, 5*y - 3*u = -9*u + 150. Sort -4, -5, y, -3 in descending order.
y, -3, -4, -5
Let h(d) = -12*d**3 + 2*d - 1. Let x be h(1). Let m be (-1 + 0)/(((-7)/(-245)*-5)/(-1)). Sort 2, x, m in decreasing order.
2, m, x
Suppose -2*u = -3*u - 0*u. Suppose 8*o - 9*o + 4 = u. Suppose -9 = -13*t + o*t. Sort -3, 2, t, 0 in decreasing order.
2, t, 0, -3
Suppose 0 = -3*z - 2*d - 516, 367*z - 377*z - 1720 = 3*d. Sort -1, 4, z in decreasing order.
4, -1, z
Suppose 2*y + x = 6*x + 19, -y + 5 = 2*x. Suppose 20 = -4*i - 6*c + 2*c, -4*i = -5*c - y. Suppose -30*z + 12 = -34*z. Sort i, -5, 4, z in descending order.
4, i, z, -5
Let m = -0.07 - -4.07. Let j = -4.4 + m. Let u = -2.809 + 2.869. Sort j, -2, u.
-2, j, u
Let n be ((-69)/12)/((-33)/(-12) + -3). Let x(l) = l**2 - 24*l + 18. Let q be x(n). Put -6, q, -4 in decreasing order.
-4, q, -6
Let b = 29 - 32. Suppose 8*i = -3*i - 55. Let y be (b - i)*(-2)/(-22). Put -1, y, 22 in ascending order.
-1, y, 22
Suppose z - 6*z = 20. Let h(a) = -a**3 - 45*a**2 + 2*a + 89. Let s be h(-45). Suppose -4*q + 4 = 2*x, 2*q + 2*q + 6 = 3*x. Put s, z, q, 2 in decreasing order.
2, q, s, z
Let m = 17604 - 17603. Sort -1066, -3, m, 4, 0 in increasing order.
-1066, -3, 0, m, 4
Let x = 16 - 15. Suppose 0 = 10*m - 22 + 40 - 18. Suppose 2*n + 12 = 6*n. Put n, x, m in increasing order.
m, x, n
Let w = -267.06 - -287. Let y = w - 20. Let p(i) = 2*i - 19. Let v be p(7). Sort v, y, 1/5 in decreasing order.
1/5, y, v
Suppose 0 = -a + 3*d - 1 - 32, 0 = -a - 3*d - 39. Let w be 2 + 0 + 4 + 31. Let f = a + w. Sort -5, 4, -1, f.
-5, -1, f, 4
Let u(r) = -r**2 - 2*r + 2. Suppose -4*z = -2*z + 8. Let h be u(z). Suppose -31*q + 17 + 14 = 0. Sort q, h, 4 in increasing order.
h, q, 4
Let k be -245 + 264 - (1 - -14). Put 5/4, 5, k, -8 in increasing order.
-8, 5/4, k, 5
Let x be (-5)/(-15) + (-5)/(-3). Let n = -114 - -116. Let z be 168/(-196)*(-7)/n. Sort x, z, -4 in ascending order.
-4, x, z
Let w be -1 + 1 - 1/(-5). Let d = -225 - -17. Let p = d - -213. Put p, 2, -2, w in ascending order.
-2, w, 2, p
Let y = -31/7 + 269/56. Let w = -19/118 + 719/1534. Sort w, -2/17, y in decreasing order.
y, w, -2/17
Suppose -3*q + 1172 = 301*u - 303*u, -u + 5*q = 586. Put -5, 4, u, 2 in descending order.
4, 2, -5, u
Let f = 263/12 - 22. Let s = 1784.31 - 1796. Let m = -12.19 - s. Sort -3, f, m, -4 in ascending order.
-4, -3, m, f
Let a be ((-108)/(-21))/((-696)/11368). Put 0, a, 5, -1, 3 in descending order.
5, 3, 0, -1, a
Let h = 5489/50988 - -1995145/11434059. Let z = h - -7/299. Let b = 5/12 - z. Put 0, b, 0.1, -1 in descending order.
b, 0.1, 0, -1
Let y = -36.2 - 6.8. Let t = -38 - y. Let x be 0/(-24) + (4 + 2)/(-2). Sort -5, t, 0, x in decreasing order.
t, 0, x, -5
Let x(m) = -5*m + 1. Let a be x(-1). Suppose a*w - 4*w + 10 = 0. Let c = 5157 + -5152. Sort 6, w, c, 3 in decreasing order.
6, c, 3, w
Let n = -15.79 + 15.39. Put -4, 153/25, n in descending order.
153/25, n, -4
Let p = -317/1267 - -1/5068. Sort p, -1, 0.13, 2, -15 in ascending order.
-15, -1, p, 0.13, 2
Suppose r - 10*r - 45 = 0. Suppose -2 = 3*f - 11, 5*f - 19 = -4*q. Put q, 4, 2, r in decreasing order.
4, 2, q, r
Let x = 0.391 - -38.209. Let f = x + 20.4. Put f, 2, -4/3 in increasing order.
-4/3, 2, f
Let u(p) = -p**3 - 4*p**2 + 5*p + 2. Let s be u(-4). Let f(v) = -v - 15. Let r be f(s). Sort -3, 0, r, 6.
-3, 0, r, 6
Let r be ((-4)/5)/((-12)/(-60)). Let h be (-5)/40 + 14/(-16). Let f be (h + -1)*(-2)/4. Sort 2, r, f.
r, f, 2
Suppose -3*h + 2*s = -34, -2 = -2*s - 6. Suppose -3*u + 0*u = -2*q - h, -q - 5 = -2*u. Sort u, -2, -4, -1 in decreasing order.
u, -1, -2, -4
Suppose 0 = -0*b - 9*b + 54. Suppose -b*n - 16 = -8*n. Suppose n*o = 9*o - 5. Sort o, -2, 2 in increasing order.
-2, 2, o
Let a(t) = t**2 + 4*t - 14. Let l be a(5). Suppose -3*h + l = 16. Sort h, -4, 12 in descending order.
12, h, -4
Let p = -648 - -650. Sort p, -302, -1 in decreasing order.
p, -1, -302
Let i = -3010 - -2996. Sort -1, -5, 0, i in decreasing order.
0, -1, -5, i
Let a = -4524 + 4523.8. Let u = 21.14 + -21. Sort a, -5/6, u.
-5/6, a, u
Let k = -9 + 4. Let d = -289 + 244. Let f be 1 - -1 - (d - -44). Put -4, k, f in decreasing order.
f, -4, k
Let t = -4.04869 - -0.04869. Sort -1/9, t, -3, -5, 19/3 in ascending order.
-5, t, -3, -1/9, 19/3
Let g = -18559/316 + 38/79. Let s = 707/12 + g. Sort -0.5, -4, 1, s.
-4, -0.5, s, 1
Let t = -37.114 + 28.364. Sort -3,
|
{
"pile_set_name": "DM Mathematics"
}
|
the highest common divisor of u and 44.
11
Let l be -1 + -2 - 15/(-3). Suppose -23 = -5*c + l. What is the greatest common divisor of c and 5?
5
Suppose 3*j - 6 = -y + 20, 2*j + 2*y = 12. Calculate the greatest common factor of j and 15.
5
Let z be (0/(2 + -4))/1. Suppose 5*b - 4*b + 14 = z. Let c be ((-180)/14)/(2/b). What is the greatest common divisor of c and 10?
10
Let i(f) = -f**3 + 4*f + 3. Let k be i(-2). What is the greatest common factor of 54 and k?
3
Suppose 5*q - 5 = 5*p, -q + 3 = 4*p + 7. Suppose 2*r - 12 + 0 = q. What is the highest common factor of 2 and r?
2
Let j(u) = u + 11. Let n be j(5). What is the greatest common divisor of 128 and n?
16
Let w be 66*-5*2/(-15). What is the greatest common factor of w and 11?
11
Suppose k - 6*k + 15 = 0. Let c be 2 - (-1)/(2 - k). Calculate the greatest common divisor of c and 4.
1
Suppose 5*a - 55 = 4*a. What is the greatest common divisor of 5 and a?
5
Suppose -r + 76 = -2*f + 4*f, 3*f + 3*r - 111 = 0. Calculate the highest common divisor of f and 13.
13
Let a be (-1 - 1)*(-25 - -3). What is the greatest common divisor of a and 4?
4
Let l = -23 - -36. What is the greatest common factor of 26 and l?
13
Suppose -36 = -3*q + 96. Suppose 3*o + 0*o - q = -2*z, z + 69 = 5*o. What is the highest common factor of 126 and o?
14
Let c = -17 - -31. Calculate the highest common divisor of 56 and c.
14
Suppose 0 = 5*h - 6*h - 10. Let n = h - -20. Suppose -o = -0*d + 2*d - 40, -3*o + n = d. Calculate the greatest common factor of d and 11.
11
Suppose 25 = 2*b - 3*c, 2*b - 3*c = 5*b. Suppose -3*j + 2*d = -0*d - 5, -5 = -5*j + b*d. Let m be 6 - j*3/9. What is the highest common factor of 45 and m?
5
Let m be (7/(-2))/(2/(-4)). Let c = 168 + -91. Calculate the greatest common divisor of c and m.
7
Let z(k) = k - 2. Let t be z(6). Let d = 31 + -21. Calculate the highest common divisor of d and t.
2
Let b be (1 - -2)/(66/352). Calculate the greatest common factor of 24 and b.
8
Let w(v) = v**2 - 19*v - 23. Let d be w(22). What is the highest common divisor of 344 and d?
43
Suppose x = 2*p - 0*p - 11, -5*p + x = -35. What is the greatest common divisor of 72 and p?
8
Let p be (-2)/(-6) - (-22)/6. Let h(s) = -85*s + 12*s - p*s. Let b be h(-3). What is the greatest common factor of b and 21?
21
Let m(i) = 5*i**3 + i - 2*i**2 + 2*i**2. Let t be m(1). What is the greatest common factor of t and 6?
6
Suppose -4*b = -6*b + 4*f + 66, -3*f + 77 = 4*b. What is the highest common divisor of b and 23?
23
Let b = -102 - -144. Let r(s) = s**3 - 3*s**2 + 2*s - 2. Let o be r(3). Suppose o = w - 10. What is the highest common divisor of b and w?
14
Let d = 77 + -63. What is the highest common divisor of d and 2?
2
Let y(z) = -3*z - 6. Let a be y(-3). What is the highest common divisor of 57 and a?
3
Let b(o) = -o**2 - 5*o - 12. Let i be b(-9). Let h be i/(-9) + 3/(-9). What is the highest common divisor of h and 25?
5
Suppose -2*b + 13 = 5*n - 26, -5*n + 4*b = -27. Calculate the greatest common divisor of 7 and n.
7
Suppose -2*q + 45 = 5*a, 2*a = 5*a + 5*q - 46. Let g = -1 - a. Let s be g/(-2 + (-12)/(-9)). What is the greatest common factor of s and 84?
12
Let g be -4*((-43)/6 - (-1)/(-3)). Calculate the greatest common factor of g and 45.
15
Suppose -l - 3 = -1. Let u be 8 - 6*(-1)/l. Suppose t = -t + 5*r + 49, 0 = t + u*r + 13. Calculate the greatest common divisor of 6 and t.
6
Suppose 2 = 5*i - 4*i. Suppose -i*b = -5*b + 45. Calculate the greatest common divisor of b and 15.
15
Let o be 4/(-6) + (-16)/3. Let i be 66*(2 - o/(-4)). Let t be 6/i - 185/(-11). Calculate the highest common factor of t and 17.
17
Let k = -1 + -25. Let s = k + 36. Calculate the highest common divisor of s and 100.
10
Suppose -2*o = -0*o + 2*j - 84, 86 = 2*o + 3*j. Suppose 5*z + 3*v + 9 = 52, 5 = z - 3*v. What is the highest common factor of o and z?
8
Let c = -17 - -50. What is the greatest common divisor of 33 and c?
33
Suppose 0 = 3*p + 6, -2*t - 11 = -p - 49. Let d be (-234)/(-45) - (-4)/5. What is the highest common divisor of d and t?
6
Let n be -78*(-1 + (-4)/(-8)). Calculate the highest common factor of 13 and n.
13
Let k be 2*2/4*-10. Let q = 28 + k. Let f(v) = v**2 + 3*v - 2. Let j be f(-4). What is the greatest common divisor of q and j?
2
Suppose u = 3*c - 53, 4*c = -u + 3*u + 74. What is the highest common factor of 1 and c?
1
Let i be 96/9 + (-2)/3. Suppose -4*v - i + 42 = 0. Let c = 63 - 31. Calculate the highest common divisor of c and v.
8
Suppose -17 = 3*t - 83. What is the greatest common factor of 198 and t?
22
Suppose 3*l - 5 = 1. Calculate the highest common factor of 8 and l.
2
Let q(d) = d**3 + 12*d**2 + 12*d + 15. Let m be q(-11). Suppose p - w + m*w - 130 = 0, 4*p - 530 = -2*w. What is the highest common factor of 19 and p?
19
Let k(b) = -b**3 - 5*b**2 + 4*b. Let y be k(-6). Suppose 3*w - 12 = -3*z, z + 5*w + 16 = 2*z. Let i = 54 - z. Calculate the greatest common divisor of y and i.
12
Let b(o) = 2 + 6*o**2 - 3*o + 4*o**2 + o - 2*o**2. Let i be b(-3). What is the highest common divisor of i and 10?
10
Let g be 1/3 + 188/12. Suppose -w + 12 + 4 = 0. What is the greatest common divisor of g and w?
16
Let k be (3 + -1)*(-10)/(-4). Suppose 2*b = 2*p - 0*b - 272, -k*b + 136 = p. What is the greatest common divisor of p and 17?
17
Suppose 0*j + 135 = 3*j. Let y(h) = -2*h. Let k be y(-2). Suppose 0*m = k*m - 72. What is the greatest common divisor of j and m?
9
Suppose 2*u = -9*c + 4*c + 43, -5*c = -2*u - 27. What is the highest common factor of 7 and c?
7
Let m be 21/2*(-4)/(-3). Let b = 27 - m. Suppose 4*x = 11 + b. Calculate the greatest common factor of 48 and x.
6
Let z be 24 + -1 + 3/(-3). What is the greatest common divisor of z and 55?
11
Let q = 253 - 541. Let f be q/(-21) - 2/(-7). Suppose 7*b = 3*b + 56. Calculate the greatest common divisor of b and f.
14
Let w = -30 + 46. Let j(r) = -w + 18 - r**2 - 3*r + 10*r. Let h be j(6). What is the highest common divisor of 88 and h?
8
Suppose -z = -0*n + n - 46, 0 = 4*n - 4*z - 216. Suppose 3*q - 18 = -3. Suppose -q*x + 7*x - 20 = 0. What is the greatest common divisor of n and x?
10
Let s = -14 - -22. Calculate the greatest common divisor of 64 and s.
8
Suppose 2*n - 18 = 4*k + 6, -3*n + 26 = -4*k. Let x(g) = 3*g - 7 - g**2 + n*g + 3*g. Let h be x(6). What is the greatest common divisor of 1 and h?
1
Suppose 5*q = -5*d + 50, 3*q - 7*d - 16 = -3*d. Let s be (-8)/(1*(-1)/1). What is the greatest common divisor of s and q?
8
Suppose 3*b = w + 28, -4*b + 3 = 2*w - 41. Calculate the greatest common factor of 50 and b.
10
Let n = 40 - 31. Calculate the highest common factor of n and 63.
9
Let y = -1 - -1. Let k(o) = 3*o - 43. Let z be k(19). Suppose -w + y*w = -z. Calculate the greatest common factor of 28 and w.
14
Suppose 3*x = -0*x + 63. Calculate the greatest common divisor of x and 7.
7
Suppose -4*c = -88 - 52. Calculate the highest common divisor of 35 and c.
35
Suppose -o + 2*q = -0*o - 1, -o + 3*q = 0. Calculate the highest common divisor of o and 33.
3
Let b be 633/12 - (-2)/8. Let j = -75 + b. Let q = j - -143. What is the greatest common factor of 11 and q?
11
Let h(r) = -r**3 - 4*r**2 + 2*r - 7. Let y = -14 - -9. Let m be h(y). Calculate the highest common divisor of m and 8.
8
Let q(n) = 3*n**3 - n**2 + 1. Let g be q(-1). Let x be ((-39)/(-5))/(g/(-15)). Suppose k - 9 = 17. Calculate the highest common factor of x and k.
13
Suppose 9*s - 4*s - 35 = 0. Let k = 230 + -153. Calculate the greatest common factor of k and s.
7
Let t be (-90)/(-4)*(-24)/(-30). Calculate the highest common divisor of 90 and t.
18
Let l = 8 + 5. Let s = 72 - 20. Calculate the highest common divisor of l and s.
13
Suppose y = g - 46, -3*g - g + 2*y = -180. What is the highest common factor of g and 33?
11
Let o be (0 + -3)*24/9. Let u = 11 + o. Let p = u - -7. What is the greatest common divisor of p and 110?
10
Let o = -31 + 46. Calculate the greatest common divisor of o and 60.
15
Let m(t) = -t**3 + 9*t**2 + 8*t - 6. Let c be m(9). Let q(s) = s - 3. Let u be q(9). What is the highest common factor of u and c?
6
Let q be -2 + -2 - (0 - 34). What is the greatest common factor of 45 and q?
15
Let h be -2 + 0 + (30/(-3))/(-1). What is the greatest common factor of h and 6?
2
Let i(h)
|
{
"pile_set_name": "DM Mathematics"
}
|
*c + 50*c + 220*c.
940*c
Collect the terms in -4015353771159 + 4015353771159 + 4*g.
4*g
Collect the terms in 152519*l**2 - 305045*l**2 + 152519*l**2 + 219 - 2*l**3.
-2*l**3 - 7*l**2 + 219
Collect the terms in -28*k**2 - 16*k**2 + 105120 - 105122.
-44*k**2 - 2
Collect the terms in -18748301*a**2 - 3 + 18748302*a**2 + 3 - 2*a + 2*a.
a**2
Collect the terms in -436 - 478 + 1163 - 417 + 3*d**2.
3*d**2 - 168
Collect the terms in 58370544 - 58370544 + 13*q**2 + 0*q**2.
13*q**2
Collect the terms in 10423 - 3478 + 19*o**3 - 31*o**3 - 3471 - 3474.
-12*o**3
Collect the terms in -16970*o + 158*o**3 + 106*o**3 - 5 + 33941*o - 16971*o + 113*o**3 + 2*o**2.
377*o**3 + 2*o**2 - 5
Collect the terms in -2239*n - 3*n**2 + 3*n**2 - 11*n**3 - 1731*n.
-11*n**3 - 3970*n
Collect the terms in 406*j + 2114 - 1060 - 1054 + 190*j.
596*j
Collect the terms in 4 - 4 - 283971*o**2 + 1611267*o**2.
1327296*o**2
Collect the terms in 243*m**3 + 264*m**3 + 12 + 230*m**3 - 766*m**3.
-29*m**3 + 12
Collect the terms in -161*j**2 - 503*j**2 + 126 - 57 - 69.
-664*j**2
Collect the terms in 166 - 147*h - 10*h - 183.
-157*h - 17
Collect the terms in 25504800752007 - 25504800752007 - 13*v.
-13*v
Collect the terms in -16904*y**2 + 33276*y**2 - 16367*y**2.
5*y**2
Collect the terms in -125983*l + 34671*l - 159859*l.
-251171*l
Collect the terms in -67630 - 860*m**3 + 67630.
-860*m**3
Collect the terms in -21 - 5608*m**2 + 21 + 11839*m**2 - 5771*m**2.
460*m**2
Collect the terms in -11892418*r + 6237537*r - 8130653*r.
-13785534*r
Collect the terms in 13173*x + 11510*x + 12221*x + 2129*x.
39033*x
Collect the terms in -919*f**2 - 107 + 458*f**2 - 798*f**3 + 461*f**2 + 800*f**3.
2*f**3 - 107
Collect the terms in 14*p**3 + 75*p**2 - 251 + 98 + 153.
14*p**3 + 75*p**2
Collect the terms in -6 - 102*d - 96*d - 85*d + 463*d - 87*d + 49*d**2 - 96*d.
49*d**2 - 3*d - 6
Collect the terms in -1046055922*l - 1046055917*l + 5*l**3 + 2092111839*l - 8*l**3.
-3*l**3
Collect the terms in -3153*i**2 + 18*i + 18*i - 36*i + 3176*i**2.
23*i**2
Collect the terms in -8942*s + 8 - 8834*s - 8 + 17780*s.
4*s
Collect the terms in 35687560*q**2 - 3*q + 3*q + 35687563*q**2 - 71375129*q**2.
-6*q**2
Collect the terms in -1987*p**2 + 19 + 21 + 19 - 59.
-1987*p**2
Collect the terms in 29*q**2 + 72*q**2 - 106*q**2 + 36.
-5*q**2 + 36
Collect the terms in -47 + 1247*i - 555*i - 694*i.
-2*i - 47
Collect the terms in -149916585206 - 28*u + 149916585206.
-28*u
Collect the terms in -668 - 831 + 3*t - 840 + 4*t + 2350.
7*t + 11
Collect the terms in 8640*b + 905*b - 1639*b.
7906*b
Collect the terms in 59 - 9857*c + 61 - 124.
-9857*c - 4
Collect the terms in -82*m**3 - 79*m**3 - 77*m**3 - 71*m**3 + 452*m**3 - 77*m**3 - 71*m**3.
-5*m**3
Collect the terms in -19*r - 44*r - 33*r + 2*r**2 - 21*r - 3.
2*r**2 - 117*r - 3
Collect the terms in -336056*c - 4324325*c - 403062*c.
-5063443*c
Collect the terms in 1 - 201*f - 246*f + 41*f + 46*f - 256*f**2.
-256*f**2 - 360*f + 1
Collect the terms in -33574*r + 67032*r - 33690*r.
-232*r
Collect the terms in 49037 - 142*l**3 - 49037 - 40*l**3.
-182*l**3
Collect the terms in -31228*r - 31228*r + 93675*r - 31219*r + r**2.
r**2
Collect the terms in -5393*p + 3707*p - 4615*p - 2 - 6*p**2 + 8*p**2.
2*p**2 - 6301*p - 2
Collect the terms in 209246*i**3 + 209189*i**3 - 417692*i**3.
743*i**3
Collect the terms in -2 + 429844*c**2 + 3 - 1.
429844*c**2
Collect the terms in 1 - 1694*n - 509*n + 10099*n + 6679*n + 564*n.
15139*n + 1
Collect the terms in -135*s + 431*s - 147*s - 14777*s**2 - 149*s.
-14777*s**2
Collect the terms in -738812*s**2 + 277915*s**2 - 2659642*s**2 - 461344*s**2.
-3581883*s**2
Collect the terms in 588*h - 17*h**2 - 293*h + 7*h**2 - 295*h + 3*h**2 + 6*h**2.
-h**2
Collect the terms in 17*q + 436*q + 15*q + 162*q + 28*q + 0*q.
658*q
Collect the terms in 91218*b - 7830*b**2 - 91218*b.
-7830*b**2
Collect the terms in 18935*n**3 - 11 + 11 + 2684*n**2 - 2684*n**2.
18935*n**3
Collect the terms in 442 + 5*z**3 + 76*z - 7*z**3 - 192 - 76*z - 250.
-2*z**3
Collect the terms in -6*a**2 - 3 + 39*a + 7*a**2 - 228*a - 1 - 8*a**2.
-7*a**2 - 189*a - 4
Collect the terms in 64 - 371*x**2 - 213*x**2 - 218*x**2 + 3*x + 799*x**2 - 3*x.
-3*x**2 + 64
Collect the terms in -3*d**2 - 215827292*d + 5*d**2 + 215831187*d.
2*d**2 + 3895*d
Collect the terms in -567 + 3*a**2 - 82*a + 191 + 191 - 9*a**2 + 187.
-6*a**2 - 82*a + 2
Collect the terms in 1856559*x**2 - 1856559*x**2 - 7127*x**3 + 7114*x**3.
-13*x**3
Collect the terms in -491*y - 895*y + 1386*y + 4 - 16*y**3 - 4.
-16*y**3
Collect the terms in 6*s**2 - 223*s**3 + 118*s**3 + 126*s**3.
21*s**3 + 6*s**2
Collect the terms in -97168816 + 32389610 + 32389597 + 32389609 + 8*y.
8*y
Collect the terms in 48*a**2 - 43*a**2 - 55*a**2 - 14*a**2 - 26*a**2 + a.
-90*a**2 + a
Collect the terms in -29*a**3 + 399 - 38*a + 38*a - 190 - 209.
-29*a**3
Collect the terms in -8*a - 13*a - 1604 + 48*a + 1604 - 12*a - 18*a.
-3*a
Collect the terms in 2 + 3 + 119*n - 377*n + 194*n - 2.
-64*n + 3
Collect the terms in -1946467*j + 1946467*j - 1699 + 830 + 869 + 2*j**2.
2*j**2
Collect the terms in 221*g**2 - 162*g**2 + 572*g**2 + 104*g**2 + 401*g**2 - 26*g**2.
1110*g**2
Collect the terms in -17 + 7541*s - 7537*s + 851.
4*s + 834
Collect the terms in -266*r**2 + 17*r + 228*r**2 - 2 + 2 - 166*r + 149*r.
-38*r**2
Collect the terms in -9835 - 3*z - 9833 - 9820 + 29488.
-3*z
Collect the terms in 267603 - 535194 + 5*m**3 + 267591 - 2*m**2 + 2*m**2.
5*m**3
Collect the terms in -109*s - 155*s**2 + 18*s**2 - 39*s + 148*s.
-137*s**2
Collect the terms in 2*j**3 + 23 + 64*j - 43*j**2 - 64*j + 45*j**2.
2*j**3 + 2*j**2 + 23
Collect the terms in -101 - 86 + 17*g + 491 - 89 - 108 - 107.
17*g
Collect the terms in 13954 - 4653 - 4648 - 50*q - 4645.
-50*q + 8
Collect the terms in -1210*m**2 + 239*m**2 + 244*m**2 + 252*m**2 + 241*m**2 + 261*m**2.
27*m**2
Collect the terms in -171 - 21*y**2 - 19*y**2 + 107*y**2 - 66*y**2.
y**2 - 171
Collect the terms in -908*u**3 + 543*u**3 + 2208*u**3 + 421*u**3 + 1500*u**3.
3764*u**3
Collect the terms in 11459*d**3 + 36*d**2 - 68*d**2 - 35 + 32*d**2.
11459*d**3 - 35
Collect the terms in 356*m**2 + 386*m**2 - 688*m**2 + 170*m**2.
224*m**2
Collect the terms in -1956*n**2 + 712*n**2 - 708*n**2 - 1149*n**2.
-3101*n**2
Collect the terms in -291*t**3 + 2635*t**3 + 666*t**3 - 812*t**3 + 2412*t**3.
4610*t**3
Collect the terms in -367902*b**2 + 122724*b**2 + 122729*b**2 + 122447*b**2.
-2*b**2
Collect the terms in -16999700449*w + 3*w**2 + 16999700449*w.
3*w**2
Collect the terms in -11*x + 40107 - 9*x - 20055 - 38*x - 20057.
-58*x - 5
Collect the terms in -832*x - 18*x**2 + 48*x**2 + 411*x + 421*x - 17*x**2.
13*x**2
Collect the terms in -5376*g**3 + 18326 - 18327 - 6884*g**3.
-12260*g**3 - 1
Collect the terms in 5589825399 + l**2 - 12*l**3 - 5589825399.
-12*l**3 + l**2
Collect the terms in 5*k**2 - 187074*k + 8*k**2 - 6*k**2 - 2 + k**3.
k**3 + 7*k**2 - 187074*k - 2
Collect the terms in -936*m - 936*m - 940*m + 2172 + 2813*m.
m + 2172
Collect the terms in -77259561*v**3 + 38629787*v**3 + 38629812*v**3.
38*v**3
Collect the terms in 34434*q + 118433*q + 7*q**2 + 14324*q.
7*q**2 + 167191*q
Collect the terms in -138*m + 55*m**2 - 15 - 22*m**2 + 137*m + 29*m**2.
62*m**2 - m - 15
Collect the terms in 1 - 35219*h**2 + 22406*h**2 + 12769*h**2.
-44*h**2 + 1
Collect the terms in -4*z + 30529*z**2 + 32270*z**2 + 4*z.
62799*z**2
Collect the terms in 1378 + 1352 - s - 4253 + 1457.
-s - 66
Collect the terms in -179*z**2 - 178*z**2 + 357*z**2 + 351854*z**3.
351854*z**3
Collect the terms in 1316*h**2 + 1311*h**2 - 6535*h**2 + 1295*h**2 + 1315*h**2 + 1312*h**2.
14*h**2
Collect the terms in 956 + 210*r - 200*r - 397*r - 285*r.
-672*r + 956
Collect the terms in -679 + 1362 - 161*b - 683 + 509*b.
348*b
Collect the terms in 25*g + 4*g**2 - 111*g + 25*g + 42*g + 24*g.
4*g**2 + 5*g
Collect the terms in -l + 3*l - 267 - 8*l**2 - 8 + 61.
-8*l**2 + 2*l - 214
Collect the terms in -1003083*w + 502059*w + 501020*w.
-4*w
Collect the terms in -12022*l**3 + 5916*l**3 + 5716*l**3.
-390*l**3
Collect the terms in 4 - 507*p**2 + 5 - 1731*p**2.
-2238*p**2 + 9
Collect the terms in -846*a**2 + 1233*a**2 + 127*a**2.
514*a**2
Collect the terms in 1492174*d**2 + 4 + 355031*d**2 + 608392*d**2 - 4.
2455597*d**2
Collect the terms in 6645*b
|
{
"pile_set_name": "DM Mathematics"
}
|
*i**2 in the form w*i**4 + c*i**3 + l + z*i + h*i**2 and give l.
-3
Rearrange -846*i**2 + 928*i**3 + 1706*i**2 - 860*i**2 + 2 - 4 to the form h*i**2 + k*i + p*i**3 + c and give c.
-2
Rearrange -9 - 143*t**2 - 228868*t + 228868*t + (2*t - 9 + 9)*(5*t - 3*t - t) - 3*t**2 - t**2 + 5*t**2 to q + s*t + y*t**2 and give y.
-140
Rearrange -2170 - 29*h + 679 + 605 + 755 to b*h + v and give v.
-131
Rearrange 0*h + 0*h + 2*h + (4*h - 3*h - 3*h)*(-3 + 2 - 1) + 10555*h - 17891*h - 60806*h + 1811*h - 43539*h to u*h + y and give u.
-109864
Express 13*k**2 + 405*k - 106*k + 45*k - 23*k**2 + 11*k**2 in the form u*k**2 + p + b*k and give u.
1
Rearrange -35*s**2 + 26 + 17*s**2 - 21 + s + s**4 - 21*s**3 + 18*s**2 to the form x*s + p*s**3 + t*s**4 + m + j*s**2 and give m.
5
Rearrange (3*i**2 - 3*i**2 + 2*i**2 + (-1 + 1 + i)*(4*i - 5*i + 3*i) - 3685*i + 1895*i**2 + 3685*i)*(1 - 2 + 3) to the form m*i + o*i**2 + k and give o.
3798
Express 2 + 0 - 8675*u + 140*u**3 + 8678*u - 35*u**3 in the form a*u + f*u**3 + x + b*u**2 and give a.
3
Rearrange 201*y**2 - 13 + 207*y**2 + 3*y**3 + 205*y**2 - 602*y**2 to o + l*y + z*y**2 + t*y**3 and give o.
-13
Rearrange -32 + 6*j**2 + 214 - 4*j**2 - 2*j + 5*j + 4*j**2 to the form w*j**2 + c + g*j and give w.
6
Rearrange -46*p**3 + 4 + 85*p**2 - 16*p**2 + 44*p**3 - 1 + 7*p**2 to the form x*p + m + g*p**2 + o*p**3 and give m.
3
Rearrange (-361 - 21*n + 361)*(-40*n + 67*n - 37*n) + 6*n**2 + 41 - 41 - n**2 - 2*n**2 - n**2 to r + i*n**2 + j*n and give i.
212
Rearrange -2995*c - 485*c - 200*c - 271*c to the form h + r*c and give r.
-3951
Rearrange 401*y**3 - 76*y**4 - 27*y**3 - 76*y**4 + 2 + 153*y**4 - 2*y to n*y**4 + b*y**2 + s*y + l + f*y**3 and give f.
374
Rearrange -42*q**2 + 34*q**2 + 134*q**2 + 2*q to the form w*q + x + d*q**2 and give x.
0
Express 0*o**2 - 7 - 14*o**2 - 9*o**2 + 74*o**2 - 7*o as g + d*o**2 + q*o and give d.
51
Rearrange -8*n - 4869*n**2 - 25 + 9747*n**2 - 4876*n**2 to the form h*n**2 + i + f*n and give h.
2
Rearrange -24 - 106 - 105 + 23*z - 12*z**2 + 235 to i + b*z + a*z**2 and give a.
-12
Rearrange 104 - 327 + 330*a + 104 + 117 to g + d*a and give d.
330
Express 5*g - 5*g + g + (3*g - g - g)*(1 + 0 + 1) + 0*g + 4*g - 2*g + 125*g - 62737 + 2324*g + 62737 as i + d*g and give d.
2454
Express 3*b**2 + 2*b - 1 + 563*b**3 - 1119*b**3 + 558*b**3 in the form f*b**2 + u*b + a + o*b**3 and give a.
-1
Rearrange (-2 - 2 - 1)*(0 - 3 + 1)*(2 - 1 - 3)*(108 - 79 - 76)*(4 - 5 - 1)*(3*u**2 + 3*u**2 - 7*u**2) to f + l*u + t*u**2 and give t.
1880
Rearrange 2*o**3 + o**2 + 8 + 4*o + 23397*o**4 - 11701*o**4 - 11698*o**4 to t*o**2 + l + x*o + g*o**4 + j*o**3 and give l.
8
Rearrange 2*k**4 + 4*k**3 + 4 - 68293*k**2 - 12*k + 9*k + 68286*k**2 to g + u*k**4 + z*k**2 + m*k**3 + d*k and give m.
4
Rearrange 6*b**2 - 83*b**3 - 19*b**2 - 51315 + 51318 to x*b**2 + t*b + d*b**3 + y and give y.
3
Express 39*q**2 + 43*q**2 + 1 + 601*q**3 + 1 + 40*q**2 - 123*q**2 as k*q + u*q**2 + w*q**3 + v and give v.
2
Rearrange -141*s - 189*s + 703*s - 1420*s - 2374*s to the form w + m*s and give m.
-3421
Rearrange 5 + 2*g + 46*g**2 - 7 - 10*g**2 - 12*g**4 to the form k*g**4 + y + u*g**2 + f*g**3 + b*g and give u.
36
Rearrange 1111*g + 4460*g + 3659*g + 5851*g to the form s*g + b and give s.
15081
Rearrange (3 - 4 - 1)*(-p - p + 3*p)*(-2*p + 2*p + p + (5 - 2 - 1)*(420*p - 238*p - 294*p))*(5*p + 3*p - 3*p) to q*p**3 + s + g*p + n*p**2 and give q.
2230
Express (0*u**3 + 2*u**3 - 3*u**3)*(1938 - 11447*u + 448 - 330 + 11445*u) in the form p*u**4 + g*u**2 + m*u**3 + v*u + c and give m.
-2056
Express -3*f - f**3 + 1 - 1102*f**2 + 1069*f**2 - 1 in the form q*f + r*f**3 + y + a*f**2 and give a.
-33
Rearrange 51*i - 6643*i**2 - 51*i + 2300*i**2 to the form u*i + a + c*i**2 and give c.
-4343
Rearrange (-7129 + 2006*t + 7129)*(3 + 6 - 5) to a + b*t and give b.
8024
Rearrange -213589*x + 213589*x - 17*x**4 + 14 - 10*x**4 + 2*x**3 to the form w*x**4 + r*x**2 + p*x + j*x**3 + i and give i.
14
Express -10124*l - 1840*l + 1874*l - 30*l in the form k + h*l and give h.
-10120
Express 15 + 233*x**2 - 15 - 328*x**2 in the form b + p*x**2 + d*x and give b.
0
Express -d**2 - 1662 + 47*d**4 + 2*d + 18*d**3 + 1665 - 49*d**4 in the form o + h*d**2 + k*d**4 + i*d**3 + s*d and give h.
-1
Rearrange 2*u**2 - 2*u**2 - u**2 + 8*u - u**3 - 3751 - 2*u**3 + 6*u**4 + 3748 to q*u**3 + m*u + d*u**4 + j + n*u**2 and give n.
-1
Express (-18*u**2 + 94*u - 94*u)*(2 - 3*u - 2) - 2*u**3 + 13*u**2 + 7*u**3 - 3*u**3 as r*u**2 + p*u**3 + k*u + o and give r.
13
Rearrange 11*w**2 + 3*w**2 - 39*w**2 + 14*w**2 + 2 + 9*w**2 - 254*w to the form v*w + p*w**2 + k and give p.
-2
Rearrange (1 - 4*s + 2*s - 2*s)*(-247 + 406 + 380 + (3 - 3 - 1)*(5 + 2 - 5) + 0 + 1 + 1 + 5 - 2 - 2 + 1 - 7 + 2) to w + u*s and give w.
536
Express -9*d - 75 + 5*d - 45 - 7*d + 33 as z + p*d and give p.
-11
Express 20 - 233*c - 11 - 2*c**2 - 10 in the form g*c + u + w*c**2 and give w.
-2
Express -70*u**2 + 134*u**2 - 40*u + 108*u**2 + 2 + 38*u in the form o*u + l*u**2 + d and give d.
2
Rearrange (1 + 2 - 1)*(-g + 2*g - 2*g) - 550*g + 115*g + 144*g + 132*g + 101*g + 277 to the form n + x*g and give x.
-60
Rearrange 2877*k**3 - 6*k**2 + 4*k + 2884*k**3 - 5759*k**3 - 3*k**2 - 35*k to the form i + f*k**3 + u*k**2 + h*k and give h.
-31
Rearrange -5*h**4 + 0*h**4 + 3*h**4 + (-15 + 70 + 20)*(22 - 101*h**2 - 22)*(5*h**2 + h**2 - 4*h**2) to the form q*h**2 + u*h**3 + v + w*h**4 + p*h and give w.
-15152
Rearrange -55515*m + 1801 - m**2 + 55515*m to the form o + l*m + n*m**2 and give n.
-1
Rearrange 12692 + 3*f**3 - 4*f**2 - 6348 - 2*f**4 - 6343 to the form r*f + v*f**2 + h + s*f**4 + y*f**3 and give s.
-2
Express -3*v - 3 - 18*v**2 - 9*v**2 - 4*v**2 - 110*v**3 + 29*v**2 in the form f + d*v + z*v**2 + b*v**3 and give d.
-3
Express -2*z + 19*z**3 + 12*z**2 + 11*z**2 + 6 - 6*z**3 - 14*z**3 + 7*z**3 in the form t*z + s*z**2 + a*z**3 + p and give a.
6
Rearrange 163278 - 13521*a - 163278 to f*a + i and give f.
-13521
Express (-5 + l + 5)*(-2 + 0 + 0)*(197762*l + 196580*l - 383562*l)*(1 + 3 - 6) as x + f*l + c*l**2 and give c.
43120
Rearrange (607 - 304 + 81*s - 305)*(-9 + 15 + 2 + (-1 + 0 + 2)*(2 - 2 + 1))*(-s**3 - 3*s**3 + 2*s**3) to x*s**2 + k*s**4 + o + g*s + q*s**3 and give q.
36
Rearrange (-1 + 1 + 3*j)*(-255 - 40654*j - 335 + 591) to the form l*j**2 + y + m*j and give l.
-121962
Express -2*q**2 + 0*q**2 + 0*q**2 + (0 + 3 - 1)*(11014*q - 1 - 21*q**2 - 11100*q - 1) in the form d*q**2 + g + l*q and give g.
-4
Rearrange (-d + 12*d + 13*d)*((4 - 5 - 1)*(-14 - 1 + 4) + (-4 + 3 - 1)*(1 + 0 - 7)) to y + i*d and give i.
816
Express (-24312*p + 25267 - 25267)*(p**3 + 3*p**2 - 3*p**2) in the form j*p**4 + x + w*p + m*p**2 + n*p**3 and give j.
-24312
Rearrange 6 + 20 - 27*z**2 + 26 - 2*z - 54 + 56*z**3 to the form t + s*z**3 + u*z + b*z**2 and give t.
-2
Rearrange -12*d - 7*d - 7*d + (-6 + 4 + 3)*(2*d - 5*d + 4*d) - 24*d + 268*d + 30*d to b*d + s and give b.
249
Express -282*o**2 - 1687*o**2 - 1598*o**2 + 919*o**2 - 216*o**2 in the form z*o + h + p*o**2 and give p.
-2864
Rearrange 3*r - 5 + 5 + (5*r + r - 2*r)*(-27 + 129 - 42)*(5 + 0 - 4) to the form o + a*r and give a.
243
Express -28*w + 469*w - 1 - 128*w + 587*w + 488*w in the form m + i*w and give i.
1388
Express -7136 - 7*d**4 - 2*d**2 + 7136 + d + (-1 + 0 + 5)*(-17*d + 17*d + 2*d**4) in the form k*d + a*d**4 + b*d**3 + c*d**2 + t and give a.
1
Rearrange 134*h**3 + 5*h**2 + 2*h**4 - 144*h - 7*h**2 + 59*h**3 - 190*h**3 + 1 to the form j*h + w*h**3 + a*h**2 + o + z*h**4 and give a.
-2
Rearrange (-209*b + 72*b + 26*b)*(11 + 0 + 4) - b - b + 3*b + (2 - 2*b - 2)*(-2 + 1 + 0) to o + x*b and give x.
-1662
Express (-175 + 175 + 10*k**2)*(-1 + 2*k**2 + 1)*(26 + 47 - 46)*(-4 + 15 - 45) as g*k + a*k**4 + i + h*k**2 + m*k**3 and give a.
-18360
Express -129 - 36*l**4 + 12*l**4 + 9*l**4 + 5*l**4 + 14*l**4 + 6*l**2 - 2*l as q*l**4 + y*l**2 + n*l**3 + o*l + f and give n.
0
Rearrange 4*p**3 - 2*p**3 + 0*p**3 + (15*p - 194 - 116*p + 98*p)*(-4 + 2*p + 4)*(-5*p + 3*p + 5*p) to t*p**2 + v + s*p**3 + u*p and give s.
-16
Rearrange 233 + 3*q**3 + 285 + 3*q - q**3 - 739 + 4*q**2 to z*q**2 + s*q + m*q**3 + r and give m.
2
Rearrange 0*b + 15*b**2 - 7*b + 80*b**4 - 44*b**4 - 1 - 38*b**4 to d*b + c*b**2 + m + v*b**3 + s*b**4 and giv
|
{
"pile_set_name": "DM Mathematics"
}
|
0).
-18
Evaluate 21/4*(90/(-150))/(9/(-20)).
7
What is (140/110)/((-36)/(-396))?
14
(-9)/(((-8)/84)/((-82)/861))
-9
6*(-9)/(-4)*(-78)/117*3
-27
Calculate ((-51)/(-1105))/(39/130).
2/13
Evaluate 36/45*(-2)/(-1)*2/(-24).
-2/15
Evaluate 5/(-2)*14292/1985.
-18
Evaluate (1*18)/(150/(-8)*146/365).
-12/5
Calculate ((-2)/(-2))/(13/13).
1
Calculate (220/(-8))/11*2/(-20)*-8.
-2
Calculate (-2)/((76/3)/(-2)*(-72)/(-24)).
1/19
Calculate (6/(-2))/(-3*(-57)/(-6)).
2/19
Calculate (-6)/4*(-32)/9*(-1443)/6734.
-8/7
Calculate 2/(((-2)/(-15))/(19/(456/(-16)))).
-10
Evaluate (((-110)/(-15))/(-11))/(3*16/108).
-3/2
What is the value of (13/(-4))/(117/468)?
-13
What is (-5)/(-2)*((-2)/(-8))/(10/(-32))?
-2
What is 7/(-14)*((-228)/(-30))/(41/(-205))?
19
Calculate ((-3)/14)/((-6)/36*3).
3/7
Calculate ((-12)/(-48))/(75/(-8)).
-2/75
2/(-5)*-40*(-120)/(-192)
10
Evaluate (2/28)/((3/(-21)*7)/2).
-1/7
(((-2304)/84)/(-16))/(18/84)
8
What is the value of ((-7)/28)/(5/1040*4)?
-13
What is the value of (2/5)/(((-308)/105)/(-11))?
3/2
Calculate ((-50)/(-75)*-3)/37.
-2/37
Evaluate ((-2)/24*9)/(3/5).
-5/4
What is the value of (987/94)/(3/6)?
21
What is (-20)/(620/(-31))*-19?
-19
((-3)/4)/((-15939)/924)
1/23
Calculate (-4)/(((-30)/6)/(-5)).
-4
Evaluate ((-4)/((-320)/(-6)))/((-34)/272).
3/5
Evaluate (20/(-25))/(((-4)/(-60))/1).
-12
What is the value of 1/((-4)/3)*(-16280)/8547?
10/7
What is the value of (((-24)/(-7))/8)/(70/(-49)*-1)?
3/10
(((-33)/7)/(-11))/3
1/7
What is ((-2)/7)/(20553/16926)?
-4/17
What is ((-55)/50)/11*(-11)/((-99)/(-36))?
2/5
What is the value of (6/28*-1)/((-19)/(-133))?
-3/2
What is the value of (-1865)/(-2238)*246/(-20)*-4?
41
Evaluate (1/6*10)/((-50)/960*-8).
4
(7/2)/(2884/(-20600))
-25
Calculate ((-2)/1)/(13*(-2)/(-182)).
-14
Calculate ((-42)/(-14))/(7/(-21)).
-9
What is the value of (-55)/(-44)*(-104)/(-2275)?
2/35
-6*(-37)/((-481)/26)
-12
24*8/(1984/93)
9
Evaluate 255/425*20/(-26).
-6/13
Evaluate (3/6)/((4*(-2)/112)/1).
-7
Evaluate 22/3*1*21/14.
11
Calculate 175/10*6/25*150/(-45).
-14
Calculate (180/315)/((-54)/21).
-2/9
((-2)/(14/9))/((-1905)/8890)
6
What is (135/450)/(3/(3*6))?
9/5
What is the value of (-49)/56*(-120)/(-28)*1/5?
-3/4
((-1)/(-124)*31)/(((-5)/28)/(-5))
7
What is the value of 2/(-8)*(-5496)/(-2290)?
-3/5
Calculate 22/(6/(-36)*6).
-22
What is the value of ((6/(-15))/2)/(32/448*-1)?
14/5
(-665)/266*-2*8/(-220)
-2/11
What is the value of 198/(-55)*75/(-18)?
15
Evaluate ((-168)/(-1064))/(4/38).
3/2
Evaluate 1*-7*32/12*48/64.
-14
2/((-6)/(-507)*-13)
-13
Calculate ((-2)/(-5))/((-144)/(-540))*(-54)/135.
-3/5
Calculate ((14/9)/7)/((-142)/(-3195)).
5
Calculate ((770/484)/(-35))/((-1)/6).
3/11
Evaluate (-2*(-6)/27*-3)/(540/30).
-2/27
What is -36*(2/(-18))/(-1)*183/(-61)?
12
2*34/(-204)*(-33)/(-1)
-11
(-2)/4*10/15*(-289)/(-289)
-1/3
Calculate ((-1)/3)/(2*11/(-594)).
9
Evaluate ((-90)/108)/(((-35)/(-3))/((-7)/7)).
1/14
Calculate (-903)/(-12255)*150/105.
2/19
Calculate 15/465*(-2)/(8/8).
-2/31
Evaluate 2*12/(-72)*-27*(-1)/2.
-9/2
(1250/(-75))/(-1*(100/15)/(-10))
-25
Calculate 8/30*-10*3.
-8
(1/2)/((340/(-544))/(1/4))
-1/5
What is the value of (-66)/4*3336/(-9174)?
6
Evaluate (-91)/(-14)*-2*(-6)/6.
13
Evaluate (-7*190/(-931))/((-4)/(84/9)).
-10/3
What is the value of (4/(-2))/(30/55*11)?
-1/3
What is the value of (-2)/9*1080/240?
-1
What is the value of (10*-1)/(14212/646)?
-5/11
What is ((-7524)/(-7106))/(12/68)?
6
((-15)/(-270)*-24)/(((-50)/(-3))/5)
-2/5
Calculate (((-136)/(-6))/(-4))/(39*(-40)/(-4680)).
-17
Calculate 138/230*7/(2/4*6).
7/5
What is ((-2)/1)/(11*(-4)/24)?
12/11
What is (-54)/(-36)*(-5)/(-15)*2?
1
What is the value of 5*1*((-22)/55)/(3/15)?
-10
What is (117/(-234))/((-10)/180)?
9
What is ((-4)/35)/(1*((-9)/(-15))/3)?
-4/7
Evaluate 6/2*-24*(-4)/4464.
2/31
What is the value of ((-37266)/6211)/(21/((-2)/(-4)*3))?
-3/7
Calculate 19/38*(-10)/(-18)*3.
5/6
Evaluate (-44)/(-6)*(-1398)/932.
-11
3/(((-30)/5760*-32)/(6/(-4)))
-27
What is 270*24/432*2*(-3)/10?
-9
Evaluate 2*85/(-119)*(-126)/10.
18
What is (144/(-10))/(-6)*66/99?
8/5
Calculate (-68)/(8160/2340)*(-2)/(-3).
-13
7*(31/217)/(((-4)/3)/(-4))
3
What is the value of 33/((-825)/(-250))*-1*24/10?
-24
Evaluate (165/10)/11*(18/(-3))/12.
-3/4
What is the value of 24/(-3)*(2/(-8))/(3/6)?
4
Calculate ((-105)/(-546)*13)/(-35).
-1/14
Calculate (392/1078)/(18/11).
2/9
What is the value of (8/(-14))/(90/63*3)?
-2/15
2/1*(-322)/1932
-1/3
Calculate 36*3/(189/(-14)).
-8
What is the value of (2/27)/((-380)/(-1368))?
4/15
What is 11/(-33)*4/2*(-51)/(-646)?
-1/19
Evaluate -30*(-13)/156*-2.
-5
((-52)/6)/(-12*(-15)/((-675)/(-10)))
-13/4
18/(-15)*(-145)/(-3741)
-2/43
What is the value of (((-6650)/100)/133)/((-2)/((-40)/(-2)))?
5
Evaluate -55*37/(-3515)*19.
11
Evaluate 270/(-195)*(-1040)/(-60).
-24
Evaluate (-16)/112*756/12.
-9
(6/135*9)/(3/(-150)*2)
-10
14*((-2660)/133)/((84/2)/3)
-20
What is the value of ((-33264)/5346)/((-4)/(-18))?
-28
Evaluate (4/42)/((-3)/(-14))*(-1170)/(-20).
26
What is ((-30)/(-4))/(3/1)*(-436)/1308?
-5/6
Evaluate 4/30*(-1540)/231.
-8/9
(20/25)/2*125/(-60)*3
-5/2
Calculate 10*39/130*975/(-117).
-25
Calculate (-13)/((-39)/(-18))*(-72)/(-324).
-4/3
Evaluate ((-5)/80*-22)/(11/88).
11
Calculate (((-12)/70)/(((-651)/70)/(-31)))/2.
-2/7
What is the value of (-70)/294*(-49)/105?
1/9
((-476)/3094)/((-3)/13)
2/3
What is the value of 1240/(-62)*(-2)/4?
10
((-27)/36)/((-10)/280)
21
Calculate (305760/(-378))/(-104)*(-4)/14.
-20/9
Calculate (-9996)/210*(-10)/14.
34
96/(-200)*5*(180/(-297))/4
4/11
(468/39)/((4/3)/((-10)/(-15)))
6
Evaluate ((-81)/54)/(14/(-4))*-7.
-3
((-34)/(-18))/((-172)/(-1548))
17
What is ((54/(-297))/(14/7))/((-1)/6)?
6/11
(-4)/13*-15*12584/2640
22
What is 4*-1*12/216?
-2/9
What is ((-1)/3)/((-5)/(-4))*(-6)/(-28)?
-2/35
Calculate 2*3/21*140/10.
4
What is the value of (362/(-49232))/(2/16*2)?
-1/34
11/11*(-1)/(-2)*(-6)/21
-1/7
(1/(14/4))/(17/714*282)
2/47
Evaluate (28/(-26))/(27/351).
-14
Calculate (-2)/((-1)/(-2)*(-572)/110).
10/13
What is the value of (396/2)/(-3)*(-16)/48?
22
Calculate ((-5)/3)/((390/45)/(-26)).
5
What is the value of (((-4)/(-2))/52)/(84/(-84))?
-1/26
What is (-32)/1*15*(-9)/270?
16
Evaluate ((-14)/35)/((-16)/20).
1/2
((-21)/(-56))/((-18)/24)
-1/2
Evaluate (8/(-90)*(-150)/(-12))/((-10)/90).
10
((-3)/7)/(42*(-36)/5040)
10/7
Evaluate 11/(2970/24)*(-10)/4.
-2/9
Evaluate 4/(176/(-12))*(-8)/(24/(-1)).
-1/11
What is ((-126)/98)/(78/91)?
-3/2
1/(15/(-10))*3*11
-22
What is the value of (-10)/(-3)*65/(6500/(-120))?
-4
What is (-4*(-6)/(-12)*1)/((-40)/70)?
7/2
What is (5/(-15))/(6*(-5)/(-1170))?
-13
Evaluate 12/(-18)*1*-2*(-6)/24.
-1/3
What is the value of (18/7)/(90/252)*5/3?
12
What is the value of (8/6)/(120/36)*45/828?
1/46
What is (-10)/65*(-12)/42*(-14)/8?
-1/13
What is (14/1)/(-406)*4/2?
-2/29
(4/(-30))/(((-1548)/(-36))/215)
-2/3
What is the value of (-28)/12*-11*(-20)/6930?
-2/27
(-14)/(-56)*40/(-65)
-2/13
Calculate (1/(-4))/((-153)/1530).
5/2
What is (3/6)/(4/10*145/1044)?
9
((-10)/(-10))/(17/(-714)*6)
-7
What is 285/(-285)*33/(-6)?
11/2
What is 164/(-205)*5*(-3)/3?
4
Calculate (3/6)/(((-11)/(330/200))/(-8)).
3/5
Evaluate ((-1248)/1092)/(10/(-7)).
4/5
(-50)/(((-5)/(-5))/((-3)/6))
25
6*(-7)/((-98)/14)
6
What is the value of ((-60)/(-250)*-5)/(8/(-240)*3)?
12
Calculate ((-10)/(-3))/((-500)/(-2400)).
16
Calculate 234/(-6)*135/(-315)*(-7)/9.
-13
What is the value of (1/(-16))/(10/(-8)*270/(-675))?
-1/8
Evaluate (((-28)/(-147))/(16/(-56)))/(4/18).
-3
((5/51)/5)/(4/12)
1/17
-2*35/15*-4*(-75)/400
-7/2
What is ((-213)/(-568))/(3*2/(-24))?
-3/2
What is (-3)/((-165)/(-4))*(-2080)/2496?
2/33
What is (-12)/8*(76/(-4))/(-57)*8?
-4
48/28*546/(-572)
-18/11
(10/(-100)*-45)/(1/2)
9
-5*(-146)/219*(-3)/70
-1/7
Calculate (-2)/(-4)*-30*(-23)/276.
5/4
What is the value of (2860/(-2640))/((-2)/48)?
26
Evaluate ((-21)/14*1*12/(-6))/(-13).
-3/13
Calculate (2/2)/((-1)/(7/((-2590)/(-10)))).
-1/37
(-3*2/(-6))/(1011/(-12132))
-12
What is (-4*(-6)/588)/((-13)/13)?
-2/49
Calculate 1*-3*(-14)/(-42).
-1
((-12)/38)/(((-90)/(-12))/(-5))
4/19
What is (5/((-5)/(-2)))/(52*(-13)/52)?
-2/13
Calculate (((-7)/21)/(100/150))/(14/4).
-1/7
Calculate (-1)/((-2)/(-124))*675/1350.
-31
What is the value of (4039/(-2885))/(7/(-75))?
15
Evaluate (-48*16/(-960))/(44/(-90)).
-18/11
What is the value of (9/((-
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{
"pile_set_name": "DM Mathematics"
}
|
= -22.9 - -19. Let r = -77.001 - -80.8993. Let s = l + r. What is s rounded to three decimal places?
-0.002
Let y = 1754557517556.80790062 + -1751677824580.8079. Let z = -2879693001 + y. Let m = -25 - z. What is m rounded to 7 dps?
-0.0000006
Let d = -0.1 + -0.9. Let p = 0.877962 - -0.122008. Let t = p + d. What is t rounded to five decimal places?
-0.00003
Let i = 4315.7183 + -4316. Let c = 0.28 + i. What is c rounded to 3 decimal places?
-0.002
Let n = 8867.27 + -8933. Let s = n - -66. What is s rounded to 1 dp?
0.3
Let p = -903.443471596218 - 0.025028813782. Let m = 903.5385 + p. Let v = m - 0.07. What is v rounded to 7 dps?
-0.0000004
Suppose 0 = -0*r - 2*r + 208000. Round r to the nearest ten thousand.
100000
Let s = 136043 + -136135.049. Let a = s - -92. Round a to two dps.
-0.05
Let i be (-37488)/30 + 4/(-10). Round i to the nearest one hundred.
-1300
Let o = -57488 - 3512. Round o to the nearest ten thousand.
-60000
Let g = -235808 + 512808. Round g to the nearest 100000.
300000
Let y = 3.835 - -51.225. Let z = 61 - 5. Let c = y - z. What is c rounded to 1 dp?
-0.9
Let z = -0.1 + 0.7. Let a = z - 1.13. What is a rounded to one dp?
-0.5
Let u = -4.48 - -6.47. Round u to 1 decimal place.
2
Suppose -12964 = -4*a + 3036. Round a to the nearest one thousand.
4000
Let x be (-40)/(-15)*243/4. Let c = x - 60. Suppose g + 3*t - c = 2*t, 0 = -3*g - t + 298. What is g rounded to the nearest 10?
100
Let q(s) be the third derivative of s**6/720 - s**5/30 - s**4/12 + s**2. Let c(b) be the second derivative of q(b). Let u be c(4). What is u rounded to 0 dps?
0
Let r = 3.72344856 + -0.32345236. Let v = r - 3.4. Round v to 6 dps.
-0.000004
Let d = 0.009 + 37.991. Let z = 44.4 - d. Round z to the nearest integer.
6
Let o = -49 - -49.074. Let h = o + -0.05. What is h rounded to two decimal places?
0.02
Suppose 0 = s + s. Suppose -6*a + 2*a + 49604 = s. Let c = a - 6501. What is c rounded to the nearest 1000?
6000
Let o = 24 - 22. Suppose -5*u - 3*a - 185 - 265 = 0, -o*a = u + 90. Round u to the nearest one hundred.
-100
Suppose 4 = m + m. Let r be -18*4 - m/(-1). Round r to the nearest 100.
-100
Let h = 0.02774 - 20.03774. Let t = h - -20. What is t rounded to one dp?
0
Suppose 2*v - 152019 = f, 5*f = v + 2*v - 228032. Suppose 0*m + 2*m = -3*o - v, m + o = -38003. Round m to the nearest 10000.
-40000
Let s(y) = -1297*y**3 + 3*y**2 - 4*y + 4. Let t be s(3). What is t rounded to the nearest ten thousand?
-40000
Let y = 263.99778 + -264. Round y to 4 decimal places.
-0.0022
Let i be 2/7 - (-346)/14. Let c = i - 17. Suppose -4*b + 2*a - c = 0, 3*b - 7*a = -3*a - 16. Round b to the nearest one million.
0
Let u = 52 + -42.76. Let h = -9 + u. Let x = -0.239929 + h. What is x rounded to 5 decimal places?
0.00007
Suppose -g - 1986852 = -5016852. Round g to the nearest one hundred thousand.
3000000
Let z = 25094.3 + -25094.110107. Let v = z - 0.19. Round v to 5 dps.
-0.00011
Let y(s) = -305001*s + 4. Let h be y(4). Round h to the nearest one hundred thousand.
-1200000
Let k = -0.01 + 0.04. Let a = -13137.969972 - -13138. Let m = a - k. Round m to 5 dps.
0.00003
Let z = 23 + -22.99999942. Round z to seven dps.
0.0000006
Suppose -x = -3*x - 34. Round x to the nearest ten.
-20
Let z(x) = -881*x**2 + 4*x + 5. Suppose -5*g = w + 72, -w = -g - 2*w - 12. Let u be 6/g - (-54)/10. Let i be z(u). Round i to the nearest ten thousand.
-20000
Let p = 0.1 - 14.6. Round p to zero dps.
-15
Let x = -0.114 + 0.1. What is x rounded to two decimal places?
-0.01
Let l = 352.6 + 4028.4. Let x = 4311.67 - l. Let p = 70 + x. Round p to one dp.
0.7
Let l = 8.14 - 8. Let x = 0.66 + l. Round x to the nearest integer.
1
Let w be 2910/8*208/39. Round w to the nearest one hundred.
1900
Let m = 182652 + -12603. Suppose -3*p = 5*r - 437980, 2*r + m + 121959 = 2*p. Suppose -d = d - p. Round d to the nearest 10000.
70000
Let k = 0.35 + -0.35036. What is k rounded to 4 dps?
-0.0004
Let l = -440 + 1000. Suppose 1260 = -m - 2*p, 2*m - 5*p + 1687 + 878 = 0. Let t = l + m. What is t rounded to the nearest 100?
-700
Let f = 26.87 + -29. Let s = -2.12999907 - f. What is s rounded to seven decimal places?
0.0000009
Let a(m) = -1078*m + 12. Let d be a(4). What is d rounded to the nearest 1000?
-4000
Let z = -89806 + 89806.0080054. Let h = 0.008 - z. Round h to six dps.
-0.000005
Let r = 324845228 - 324845256.9999958. Let j = r + 29. Round j to 6 dps.
0.000004
Let q = 743287.6861542355 - -85.2138412645. Let c = 743370.8 - q. Let d = c - -2.1. Round d to 6 decimal places.
0.000005
Suppose -5*b - 1170002 = 2*t, -244392 - 925606 = 5*b - 2*t. Round b to the nearest ten thousand.
-230000
Let w(d) = d**3 + d**2 - d - 10. Let h be w(0). Let l be 6/10 - (-108006)/h. What is l rounded to the nearest one thousand?
-11000
Let o = -177092.9898 + 177141. Let i = o - 48. Round i to three dps.
0.01
Let j be 42/4*10/15. Suppose 3*b + 3160000 = j*b. What is b rounded to the nearest one hundred thousand?
800000
Let z = 37.9 + 6.1. Let p = z - 44.038. What is p rounded to 2 dps?
-0.04
Let i = 67.63 - 68. Let a = -0.2 - i. What is a rounded to 1 dp?
0.2
Let n = -138.3914 - -137.6. Let u = 2 + -2.8. Let d = u - n. What is d rounded to three decimal places?
-0.009
Let z = -37 + 36. Let r(o) = 189*o**3 + 1 + 2*o**2 + 0*o**2 - 4*o**2. Let y be r(z). What is y rounded to the nearest 100?
-200
Let j(k) = -4287*k - 18. Let t(o) = -o**2 + 4*o + 7. Let l be t(7). Let r be j(l). What is r rounded to the nearest 100000?
100000
Let p = 19.13 - 20.1. What is p rounded to one dp?
-1
Let q = -277.1 - -262. Let r = -0.1 - q. Let h = r - 14.9999961. What is h rounded to 6 decimal places?
0.000004
Let w = -0.00699744 + 0.007. Round w to 7 decimal places.
0.0000026
Let q = -1118.1014 - -1118. Let v = q + 62.8014. Let g = v - 69. Round g to 0 dps.
-6
Let z = 4.00144 - 4. Round z to four dps.
0.0014
Let f be -10*(1 + (-1)/5). Let b = f - -26. Let q = b - 36. Round q to the nearest ten.
-20
Let m = 3 + -5. Let g = m - -2. Let z = g + -0.05. Round z to one decimal place.
-0.1
Let r = -128 + 134.9. Let h = 0.1 + r. Let d = h - 6.99942. What is d rounded to 4 dps?
0.0006
Let r be 3/(-6)*(-4)/2. Suppose 2*p = 5 - r. Suppose -p*u + 179 = -141. Round u to the nearest one hundred.
200
Let l = -2 - -2.0014. What is l rounded to four decimal places?
0.0014
Let w = 1.14 + -17.74. Let m = -16.600154 - w. What is m rounded to 5 decimal places?
-0.00015
Let g = -3 + 5. Let j = 2.000013 - g. Round j to 5 decimal places.
0.00001
Let s = 80753948 - 80753934.4618116. Let m = 2.5381952 - s. Let n = -11 - m. Round n to 6 decimal places.
-0.000007
Let l = -2.13 - -1.632. What is l rounded to one dp?
-0.5
Let u = -92 + 57. Let f = u + 89. Let p = f + -53.999897. Round p to 5 dps.
0.0001
Let b = 11.99 - -0.01. Let n = 12.028 - b. Round n to 2 decimal places.
0.03
Suppose 5*o + 65 = 465. Let l = o - 181. Round l to the nearest ten.
-100
Let z = 17648.99984 + -17651. Let u = -2 - z. Round u to four dps.
0.0002
Let t = 60 + -32. Let f = t + -28.000104. Round f to five decimal places.
-0.0001
Let x(d) = -13001*d - 1. Let b = 1 - -1. Let u = b + -3. Let w be x(u). What is w rounded to the nearest ten thousand?
10000
Let b(o) = -4*o - o + 4*o - 2*o**2 - 3 + 3*o**2. Let d be b(3). Suppose 2*k + 3*k = -5*l + 10475, -d*l + 6305 = -k. Round l to the nearest 1000.
2000
Let u = 50 - 49.79. Let t = 0.20999982 - u. Round t to 7 dps.
-0.0000002
Let l = 515.55 + -486. Let s = -29 + l. What is s rounded to 1 decimal place?
0.6
Let a(i) = -86*i**3 - 2*i**2 + 3*i. Let g be a(2). What is g rounded to the nearest 100?
-700
Let c = -29 + 19. Let w = -10.042 - c. Let a = w + 0.04199942. What is a rounded to seven dps?
-0.0000006
Let u = -0.57 - -0.6. Let f = u + -0.035. Round f to 2 dps.
-0.01
Let d = -0.4239283 - -0.424. What is d rounded to five dps?
0.00007
Suppose v + 10 = 2*h, -15 = -3*h + 4*v - 0*v. Suppose 2*d - d - 2 = 0, -h*w = -2*d - 75999996. Round w to the nearest one million.
15000000
Suppose -o + 5 = -2. Let u(x) = -1884*x - 5. Let s(n) = n. Let b(w) = s(w) - u(w). Let d be b(o). Round d to the nearest one thousand.
13000
Let z = -43.044 - -0.044. Let t = z - -22. Let q = -21.076 - t. What is q rounded to two dps?
-0.08
Suppose 0 = 2*q - 13 + 3. Let y = 8 - q. Suppose b + 8
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{
"pile_set_name": "DM Mathematics"
}
|
he first derivative of -42927370*x - 32634888 wrt x?
-42927370
What is the derivative of -62282*p**2 + 191*p - 241985160?
-124564*p + 191
What is the first derivative of -6014411*z**4 + 2185535?
-24057644*z**3
What is the second derivative of -670999974*h**2*t - h*t - 131957*h - t + 19 wrt h?
-1341999948*t
Find the second derivative of 1335*b**2*x**2 + 1574*b**2 + 5699*b*x**2 - 171 wrt b.
2670*x**2 + 3148
What is the third derivative of 2*g**5 - 16433673*g**3 - 68295*g**2 + 61*g + 2 wrt g?
120*g**2 - 98602038
What is the second derivative of -283028847*p**2 - 4531791*p + 7?
-566057694
What is the third derivative of -125*y**4 - 22711*y**3 + 163018*y**2 - 49*y?
-3000*y - 136266
Find the second derivative of -x**5 + 50829731*x**2 - 441845*x + 54 wrt x.
-20*x**3 + 101659462
What is the second derivative of 142*r**5 - r**4 - 11298*r**3 - 8152128*r wrt r?
2840*r**3 - 12*r**2 - 67788*r
What is the third derivative of -8929135*n**6 - 19*n**4 - 623*n**2 - 40*n + 443?
-1071496200*n**3 - 456*n
Find the third derivative of -453783*y**5 + 6*y**4 - 41*y**3 - 1060*y**2 + 127*y + 45 wrt y.
-27226980*y**2 + 144*y - 246
What is the derivative of a*j*q - 13*a*j - a*q*z + a*q - 4*a + 22*j*q*z - 1636*j*q + j*z - 2015*q*z wrt z?
-a*q + 22*j*q + j - 2015*q
What is the second derivative of 102729830*g**2*u**2 - 3*g**2*u - 90*g**2 - 3*g*u + 9*g + 4*u + 5 wrt u?
205459660*g**2
What is the second derivative of 5*n**2*y**2 + 2*n**2*y + n**2 - 48067*n*y**3 + 759*n*y + 5*n + 23*y**2 + 6*y + 2 wrt y?
10*n**2 - 288402*n*y + 46
Differentiate 147076178*a**3 + 58520413 wrt a.
441228534*a**2
What is the third derivative of 9*a*f**4*s + 2338127*a*f**3 + 96943*a*f**2 + 15*a*f - a + 4*f**2*s wrt f?
216*a*f*s + 14028762*a
Differentiate -4*t**3 + 702726*t**2 + 70369536 with respect to t.
-12*t**2 + 1405452*t
Find the second derivative of -70581135*d**2*s**2 + 1233*d*s**2 + 3*d + 4*s wrt d.
-141162270*s**2
Differentiate -41*y**3 - y**2 - 38435*y + 21509601 wrt y.
-123*y**2 - 2*y - 38435
What is the first derivative of -2087*r**2 + 256*r + 1733010?
-4174*r + 256
What is the first derivative of 15605142*i - 47399484?
15605142
What is the second derivative of -2*o**3 - 42685*o**2 + 6*o + 12936 wrt o?
-12*o - 85370
What is the second derivative of 22*t**4 - 67939*t**3 - 5*t**2 + 843*t + 14053 wrt t?
264*t**2 - 407634*t - 10
What is the second derivative of 6383497*b**3*g**2*o**3 + 5*b**3*g**2 + 302*b**3*g*o**3 + 223534*b**3*o**2 + 2*b*g*o**2 wrt g?
12766994*b**3*o**3 + 10*b**3
What is the second derivative of -70835939*l**4 - 22277372*l wrt l?
-850031268*l**2
Find the third derivative of -3*i*q**3*r*y + 222*i*q**3 - 3*i*q**2 + 3*i*q*r*y - 4*i*y + 906*q**3*r - 488*r*y wrt q.
-18*i*r*y + 1332*i + 5436*r
Differentiate -54404242*w**3 + 51167745 wrt w.
-163212726*w**2
Find the third derivative of 1260606*n**3*x**2 - 4011*n**2*x**2 - 33*n**2*x wrt n.
7563636*x**2
What is the second derivative of -6903*i**4 + 2*i**3 - 7410*i**2 + 263267422*i?
-82836*i**2 + 12*i - 14820
Differentiate 3*c**4 - 47*c**2 + 282138*c + 1313266273 with respect to c.
12*c**3 - 94*c + 282138
What is the third derivative of -a**3*c + 26430844*a**3 + 35983*a**2*c - 78*a*c wrt a?
-6*c + 158585064
What is the derivative of 38*j*o**4 + 3770*j + 339484*o**4 - 1443 wrt o?
152*j*o**3 + 1357936*o**3
What is the third derivative of 2368*h**4*o - 3624*h**3*o + h**2*o - 3623589*o wrt h?
56832*h*o - 21744*o
What is the derivative of 249068874*s**3 - 106139612 wrt s?
747206622*s**2
Find the third derivative of 59470397*f**4 + 189034*f**2 - 6*f + 5.
1427289528*f
Find the third derivative of 75533*t**5 + 1307*t**4 + 635*t**2 + 12743.
4531980*t**2 + 31368*t
What is the second derivative of 22*f**4 - 5*f**3 - 121137*f**2 - 283120994*f?
264*f**2 - 30*f - 242274
What is the second derivative of 19452681*g**3 + g**2 + 37055130*g + 1?
116716086*g + 2
What is the second derivative of 4445778*g**4 - 13*g - 2429 wrt g?
53349336*g**2
Differentiate 50*g**3*o + 147565774*g**3 - 802767*g**2*o + g**2 with respect to o.
50*g**3 - 802767*g**2
What is the first derivative of 820683058*j**2*y**2 - 43*j**2 + 5898*j + 74 wrt y?
1641366116*j**2*y
Find the first derivative of 435911854*l**2 + 2*l + 1098535614 wrt l.
871823708*l + 2
What is the second derivative of 23625*a**3*b**2 - a**3*b + 2*a**3 + 3*a**2*b**2 + a**2*b - 996*a**2 - 5*a*b**2 + 337 wrt b?
47250*a**3 + 6*a**2 - 10*a
Find the third derivative of -101375285*z**3 - 22181015*z**2 wrt z.
-608251710
Find the third derivative of 73790596*j**3 + 3887*j**2 + 13798*j.
442743576
What is the first derivative of -4176678*q**3*v - 29*q**3 + q**2 - q*v + 8*q - 261 wrt v?
-4176678*q**3 - q
Find the third derivative of -3*q**4 - 1198614*q**3 - 7228600*q**2.
-72*q - 7191684
What is the third derivative of 75723939*j**6 - 4*j**4 + j**2 + 35936476*j + 1?
9086872680*j**3 - 96*j
What is the second derivative of 2*o*s**3 + 47021282*o*s + 4*o + 336383050*s**3 wrt s?
12*o*s + 2018298300*s
What is the third derivative of -354045267*t**2*u**6 + 47*t**2*u**2 + 16*t**2 - 358*t*u - 7*u**2 wrt u?
-42485432040*t**2*u**3
Find the first derivative of 1181*h**2*w + 77*h**2*z**2 - 2*h**2 + 134*w*z**2 + 5535*w wrt h.
2362*h*w + 154*h*z**2 - 4*h
What is the derivative of 804*k**4*n - 6*k*n + 1042*k - 3125*n + 3495 wrt k?
3216*k**3*n - 6*n + 1042
Differentiate 106434919*y**2 - 46418179.
212869838*y
What is the first derivative of -3*n**4 + 308*n**2 - 386074*n - 326194247?
-12*n**3 + 616*n - 386074
What is the derivative of 8293476*n**4 - 6420815?
33173904*n**3
Find the second derivative of 21076459*a**5 + 8681884*a wrt a.
421529180*a**3
What is the third derivative of 9*g*j**3*y**2 + 4*g*j**3 + 6898*g*j**2*y - 8*g*j*y**3 + 1732*g*y**3 + 18*j**3*y**3 wrt y?
-48*g*j + 10392*g + 108*j**3
Find the second derivative of 309286*y**2 - 842318*y - 2.
618572
Find the second derivative of 2551*r**5 - 569*r**4 - 2*r**2 + 625*r + 1160.
51020*r**3 - 6828*r**2 - 4
What is the second derivative of -3*o**3*y**2 - 43*o**3*y + 6*o**2 - 32*o*y**3 - 1153824*o*y**2 - 38463*y wrt y?
-6*o**3 - 192*o*y - 2307648*o
Find the second derivative of 91798*n**4 - 195*n**3 - 503652926*n.
1101576*n**2 - 1170*n
What is the first derivative of 3059548*i*k - 690365*i + 2 wrt k?
3059548*i
Find the third derivative of -467762963*o**3*p + 2122828*o**2*p - 2*o**2 - o wrt o.
-2806577778*p
What is the derivative of -4*t**4 + 4*t**3 - 3780*t - 291787?
-16*t**3 + 12*t**2 - 3780
What is the third derivative of 63100771*k**4 - 37783*k**2 - 2*k + 161 wrt k?
1514418504*k
What is the second derivative of 12996*b**2*d**3 - 7664360*b**2*d - 11*b*d**4 wrt d?
77976*b**2*d - 132*b*d**2
Find the third derivative of -43814263*v**3 + 2*v**2 - 3415*v - 1038.
-262885578
Find the third derivative of 19384*h**4 + 27*h**3 + h**2 - 720607*h wrt h.
465216*h + 162
Find the third derivative of 168032*z**4 + 6*z**3 + 232863*z**2 + z wrt z.
4032768*z + 36
Find the first derivative of -12896*k**3 - 4609*k**2 - 160217168.
-38688*k**2 - 9218*k
What is the second derivative of 453893179*q**2 + 64973404*q - 1 wrt q?
907786358
Find the second derivative of 143736710*l**2*n**2 - 13*l**2*n + 5374*l**2 - 10*l*n - l - 2*n wrt n.
287473420*l**2
Find the third derivative of -o*p**4 + 5112*o*p**3 + 36424537*o*p**2 - p**4 - 52*p**3 wrt p.
-24*o*p + 30672*o - 24*p - 312
What is the second derivative of 35939*f*h**3 + 4*f*h*t + f*h + 2*f*t - 77*h**3*t - 3*h*t + 99709*t wrt h?
215634*f*h - 462*h*t
Find the third derivative of 10769*d**4 - 675*d**3 + 922*d**2 + 368*d - 1 wrt d.
258456*d - 4050
What is the first derivative of 2*h**3 - 2950559*h**2 + 45134509 wrt h?
6*h**2 - 5901118*h
What is the first derivative of 2*y*z**2 + 7*y*z + 44170496*y - z**2 + 67246*z wrt z?
4*y*z + 7*y - 2*z + 67246
What is the second derivative of 4*d*l**2*m**2 - 3*d*l**2*m*z**2 + 1176209*d*l*m**2*z**2 - d*m - 33*l*z**2 + 2*m*z + 4*z wrt m?
8*d*l**2 + 2352418*d*l*z**2
Find the third derivative of -2*i**3*o**6 - 4214919*i**3*o**3 + i**3*o**2 - 2*i**2*o**2 - 2*i**2*o - 300*i*o**2 + 1681*o wrt o.
-240*i**3*o**3 - 25289514*i**3
What is the first derivative of 3*l*p - 3*l - 152073*p + 1113383 wrt p?
3*l - 152073
Find the second derivative of -36*h**4 + 2380087*h**3*j**3 - 42*h*j**3 - 2*h*j**2 + 48*h*j + 160*h wrt h.
-432*h**2 + 14280522*h*
|
{
"pile_set_name": "DM Mathematics"
}
|
14488?
16911
What comes next: -3, 4, 31, 90, 193?
352
What is the next term in -3263, -13074, -29433, -52346, -81819, -117858, -160469, -209658?
-265431
What is the next term in 5, 27, 87, 203, 393?
675
What is next in -791, -3178, -7157, -12728, -19891, -28646, -38993?
-50932
What is next in -94, -91, -88, -85, -82, -79?
-76
What is next in 50, 90, 132, 176, 222, 270, 320?
372
What is next in 2826, 2823, 2820?
2817
What is the next term in 326, 654, 982?
1310
What is the next term in 94, 105, 130, 175, 246, 349, 490, 675?
910
What is the next term in -60, -63, -66, -69, -72, -75?
-78
What is the next term in 2, 73, 144, 215, 286?
357
What is the next term in 33, 66, 99, 132, 165, 198?
231
What is next in 16613, 16615, 16619, 16625, 16633, 16643?
16655
What is next in -550, -551, -552?
-553
What comes next: 1267, 2529, 3791, 5053, 6315, 7577?
8839
What is the next term in -7, -4, -21, -70, -163, -312, -529, -826?
-1215
What is the next term in 12304, 24610, 36916, 49222, 61528, 73834?
86140
What is the next term in 6, 14, 42, 102, 206, 366, 594?
902
What is the next term in -24, -13, 4, 27, 56, 91?
132
What comes next: -663, -662, -661, -660, -659, -658?
-657
What is next in -98, -68, -12, 76, 202?
372
What is the next term in 41, 94, 147, 200, 253?
306
What is the next term in 204, 404, 604, 804, 1004?
1204
What is the next term in 132, 213, 294, 375, 456?
537
What comes next: -25, -29, -31, -31, -29?
-25
What is next in -36, -45, -54, -63, -72, -81?
-90
What is next in -154, -117, -34, 119, 366, 731, 1238?
1911
What is next in 157, 157, 165, 187, 229, 297?
397
What is next in 138, 272, 406, 540?
674
What comes next: -84, -95, -122, -171, -248?
-359
What is next in -36, -85, -134?
-183
What comes next: 92, 197, 318, 455, 608?
777
What comes next: -25, -75, -141, -229, -345?
-495
What comes next: 311, 308, 305, 302, 299?
296
What comes next: 115, 227, 355, 505, 683, 895, 1147, 1445?
1795
What is next in -68, -265, -600, -1079, -1708, -2493, -3440?
-4555
What comes next: -320, -337, -344, -335, -304, -245, -152, -19?
160
What comes next: -2, 16, 34?
52
What is the next term in 45, 198, 453, 810?
1269
What is the next term in 0, 13, 34, 63, 100, 145?
198
What is next in 48, 52, 66, 96, 148?
228
What is the next term in 32, 58, 74, 74, 52?
2
What comes next: -24, -34, -32, -12, 32, 106, 216, 368?
568
What is next in -1541, -3084, -4629, -6176, -7725, -9276?
-10829
What comes next: 3104, 3109, 3128, 3167, 3232?
3329
What is the next term in 6, 1, -14, -39, -74, -119, -174?
-239
What is the next term in -183, -367, -551, -735, -919, -1103?
-1287
What is next in -2584, -2579, -2570, -2557?
-2540
What is next in 38, 83, 128?
173
What is next in 0, 5, 2, -15, -52, -115, -210?
-343
What is the next term in -42, -78, -114, -150, -186?
-222
What is next in 125, 139, 165, 209, 277, 375?
509
What comes next: 29, 110, 267, 518, 881, 1374?
2015
What is the next term in -276, -553, -830, -1107, -1384?
-1661
What is the next term in 3, -8, -45, -120, -245, -432?
-693
What is next in -275, -261, -231, -179, -99, 15, 169, 369?
621
What comes next: -31, -43, -55, -61, -55, -31?
17
What comes next: -12, -90, -300, -708, -1380, -2382?
-3780
What is the next term in 9, 16, 31, 54, 85?
124
What comes next: -17, -53, -109, -185, -281, -397?
-533
What comes next: -33, -69, -105?
-141
What comes next: -165, -322, -465, -588, -685, -750?
-777
What is next in -44, -45, -46, -47, -48, -49?
-50
What is the next term in -411, -413, -415, -417?
-419
What is the next term in 54, 67, 80?
93
What comes next: -756, -1509, -2262?
-3015
What comes next: 10, -30, -120, -284, -546?
-930
What comes next: -70, -55, -38, -19, 2, 25?
50
What is next in 99, 102, 109, 120, 135, 154, 177?
204
What is next in -7, -33, -97, -217, -411, -697?
-1093
What is next in -180, -793, -1824, -3279, -5164, -7485, -10248, -13459?
-17124
What is next in -1479, -1483, -1489, -1497, -1507?
-1519
What is next in 12, 31, 58, 93, 136, 187?
246
What is the next term in -24, -37, -64, -111, -184?
-289
What is next in 91, 93, 97, 103, 111, 121, 133?
147
What comes next: -278, -274, -266, -254, -238, -218?
-194
What is next in 297, 299, 303, 309, 317, 327?
339
What is the next term in 53, 91, 147, 215, 289, 363?
431
What is next in -7, -32, -69, -118, -179, -252, -337?
-434
What is next in -371, -740, -1109, -1478?
-1847
What comes next: 840, 3362, 7564, 13446?
21008
What is the next term in 11, 27, 31, 17, -21?
-89
What comes next: -7, 1, 25, 71, 145?
253
What comes next: -56, -123, -190, -257, -324, -391?
-458
What comes next: 1132, 1133, 1136, 1141, 1148, 1157?
1168
What is next in -84, -326, -714, -1236, -1880, -2634, -3486?
-4424
What comes next: -5, -31, -73, -131, -205?
-295
What is the next term in -268, -273, -282, -295, -312, -333?
-358
What is the next term in -697, -698, -699?
-700
What is next in -20, -22, -26, -32, -40, -50, -62?
-76
What is next in 233, 921, 2067, 3671, 5733, 8253?
11231
What is the next term in 198, 392, 580, 762?
938
What is the next term in 1392, 1369, 1308, 1191, 1000, 717?
324
What comes next: 103, 413, 929, 1651?
2579
What is next in 1439, 2877, 4315, 5753?
7191
What is the next term in -38, -10, 18, 46, 74?
102
What comes next: -269, -264, -257, -248, -237, -224?
-209
What is the next term in 88, 89, 88, 85, 80?
73
What comes next: -343, -338, -331, -322?
-311
What is the next term in -32, -49, -66, -83, -100, -117?
-134
What is next in 17, 113, 367, 857, 1661, 2857?
4523
What comes next: -905, -907, -909, -911, -913, -915?
-917
What comes next: -92, -90, -88, -86?
-84
What comes next: -368, -336, -302, -266, -228, -188?
-146
What is next in 42, 43, 44?
45
What is the next term in 419, 366, 277, 152, -9?
-206
What comes next: 24, 34, 30, 6, -44?
-126
What is the next term in -30, -128, -292, -522?
-818
What is the next term in -4, 26, 84, 176, 308?
486
What is the next term in 1128, 1139, 1156, 1179, 1208, 1243, 1284?
1331
What comes next: -26, -23, -16, -5, 10, 29, 52?
79
What is the next term in 33, -26, -73, -102, -107?
-82
What is the next term in 35, 36, 45, 68, 111, 180, 281?
420
What is next in -934, -915, -886, -841, -774, -679, -550, -381?
-166
What is the next term in -209, -827, -1851, -3281?
-5117
What is the next term in -21, 48, 253, 660, 1335, 2344?
3753
What comes next: 1417, 2834, 4249, 5662, 7073?
8482
What is the next term in 1028, 2048, 3072, 4106, 5156, 6228, 7328?
8462
What is the next term in 103, 204, 305, 406, 507?
608
What is the next term in -167, -182, -201, -218, -227, -222?
-197
What is the next term in 812, 806, 804, 812, 836?
882
What comes next: 40, 122, 256, 442, 680, 970, 1312?
1706
What is the next term in -15, -29, -45, -63, -83?
-105
What is next in -3, 17, 53, 105?
173
What is next in -19, -22, -9, 26, 89, 186, 323, 506?
741
What is the next term in -51, -96, -131, -150, -147, -116, -51, 54?
205
What is the next term in 5472, 5468, 5462, 5454?
5444
What comes next: -22, -31, -56, -103, -178, -287?
-436
What is the next term in -16, -42, -70, -100?
-132
What is the next term in 15, 69, 161, 291, 459?
665
What is next in 0, 1, 0, -3, -8?
-15
What is the next term in 101, 396, 887, 1574, 2457, 3536?
4811
What is next in 60, 54, 44, 30, 12, -10?
-36
What comes next: -13, -21, -5, 47, 147?
307
What is next in -20, -22, -20, -14?
-4
What is next in 9800, 9798, 9794, 9788, 9780, 9770?
9758
What is the next term in 16, 12, 6, -2, -12, -24?
-38
What comes next: 244, 487, 730, 973, 1216, 1459?
1702
What comes next: -393, -394, -397, -402, -409, -418, -429?
-442
What is the next term in 32, 25, 14, -1, -20, -43, -70?
-101
What comes next: -7, 0, 7, 14?
21
What is the next term in -341, -675, -1009, -1343, -1677, -2011?
-2345
What is next in 227, 910, 2049, 3644, 5695, 8202?
11165
What is the next term in -6709, -13415, -20121?
-26827
What is the next term in 35, 76, 155, 290, 499, 800, 1211?
1750
What comes next: 2, 5, 10, 17, 26, 37, 50?
65
What comes next: -15, -40, -61, -78, -91, -100, -105?
-106
What comes next: -4, -31, -96, -217, -412, -699, -1096?
-1621
What is the next term in -114, -124, -134, -144, -154?
-164
What comes next: -58, -13, 114, 365, 782?
1407
What is next in 38, 86, 148, 230, 338?
478
What comes next: -13, -54, -125, -2
|
{
"pile_set_name": "DM Mathematics"
}
|
to -2/9? (a) -2 (b) 1/5 (c) -3 (d) 0.014
d
What is the closest to -0.1 in 3, -2/9, 0.3?
-2/9
What is the closest to 20 in 4, 2, -0.2, -5?
4
What is the closest to 2/5 in -0.02, 4, -3?
-0.02
What is the nearest to 1 in -0.5, 15/8, -2/3, -0.4?
15/8
Which is the closest to 10.4? (a) -4 (b) 2 (c) 5
c
Which is the closest to -1/4? (a) -102 (b) 4 (c) -1/3 (d) -0.4
c
What is the closest to -3 in 5, 0.01, -1/6, -0.2?
-0.2
What is the closest to -29 in -4, -2, -12, -3?
-12
What is the closest to 2 in 189, -0.3, 4?
4
What is the closest to 1 in -3/4, -1, 6?
-3/4
What is the closest to 0.1 in 3/7, 0, -200?
0
What is the nearest to -1.2 in 4, -0.2, 3/7?
-0.2
What is the closest to 1/4 in 5, -4, 3.5?
3.5
Which is the nearest to -1? (a) 2/5 (b) -5/4 (c) -0.2 (d) -0.5
b
What is the nearest to -6 in -2, 12, 23?
-2
What is the nearest to 113 in 4/5, 4, 3?
4
Which is the closest to -14.5? (a) 1 (b) 4 (c) 3
a
What is the closest to 0.01 in -2/3, -1/7, 1/3?
-1/7
Which is the nearest to -0.1? (a) 44 (b) 0.3 (c) -2/11
c
Which is the nearest to -9? (a) 0.11 (b) 3 (c) -1/4
c
What is the nearest to -7 in 5, -0.4, -5, -4?
-5
Which is the nearest to -2? (a) 0.7 (b) -0.3 (c) -1/2 (d) 3
c
What is the nearest to -1 in -0.4, -73, -2/7?
-0.4
What is the nearest to 0.1 in 910, -2/3, 0.2, -1/3?
0.2
What is the nearest to 0 in -2, -4, -0.1, -5/2?
-0.1
What is the nearest to 1/2 in -3, 0.3, -95?
0.3
What is the closest to 6/11 in 2, 5, -1?
2
Which is the closest to 1? (a) -26 (b) 2 (c) 5
b
What is the nearest to -0.2 in 5, -0.09, -0.5, 0.11?
-0.09
What is the closest to 0 in -1, 0.5, -5, 7/8?
0.5
Which is the nearest to -1? (a) 1/79 (b) 5 (c) 1/2
a
Which is the closest to 1? (a) 2 (b) -0.1 (c) -12 (d) 0.2
d
What is the closest to -0.03 in -2, 4, 5?
-2
Which is the closest to -2/27? (a) -2/7 (b) -1/4 (c) 0.06 (d) -2
c
What is the nearest to 3 in 5, -20, -0.3?
5
Which is the closest to 0.13? (a) -3/2 (b) 1/4 (c) -1/4
b
Which is the closest to -2/9? (a) -1/4 (b) 2 (c) -0.05 (d) -3/4
a
What is the nearest to 2 in 0, -1/4, 1/5?
1/5
What is the nearest to -9 in -1/2, -0.3, -14?
-14
What is the nearest to 0.1 in -8, 2/5, 1?
2/5
Which is the closest to -1? (a) -0.2 (b) -4/5 (c) 0.06 (d) 19
b
What is the nearest to -5 in -4, 0.2, 1/14, -1/2?
-4
Which is the nearest to 0? (a) 41 (b) 1/4 (c) -5 (d) 0.1
d
Which is the nearest to 35? (a) 1 (b) -3 (c) -5 (d) 0.2
a
What is the closest to -97 in -2, -0.4, -0.07?
-2
Which is the closest to -0.1? (a) 0.4 (b) -2/5 (c) -2 (d) 1
b
Which is the nearest to 0? (a) -6137 (b) 4 (c) -0.3
c
What is the nearest to 1 in 1/2, 0.4, -21, 0.3?
1/2
What is the closest to 0.2 in 2/7, -2/37, -4/5?
2/7
Which is the nearest to -1? (a) 0.24 (b) -2 (c) -5 (d) -1/4
d
Which is the nearest to -2? (a) -0.5 (b) -0.19 (c) -0.4
a
What is the closest to -0.3 in -1, -2/3, -3, 0?
0
Which is the nearest to 0.1? (a) -5 (b) 4/5 (c) -621 (d) 5
b
Which is the nearest to -0.06? (a) 2 (b) -1/18 (c) -31
b
What is the nearest to -4 in 1, -2/3, 0.015?
-2/3
Which is the nearest to -5? (a) -2 (b) -4/3 (c) -0.03 (d) 4
a
What is the nearest to 0.1 in -7, -0.1, 0?
0
What is the nearest to -37 in 1/4, 1, -38?
-38
What is the closest to -4 in 0.04, 0.3, 2/5, 0?
0
Which is the closest to -1/6? (a) -3/5 (b) -31 (c) -8
a
What is the closest to 0.1 in 2/3, 879, -3/4?
2/3
What is the nearest to 44 in 0.06, -2, 1, -4?
1
What is the closest to -1 in 2, -3, 2/11, 21?
2/11
What is the closest to -0.09 in -4, 0.3, 2?
0.3
Which is the closest to 0.1? (a) 4 (b) -0.3 (c) 8 (d) 0.09
d
Which is the closest to 1? (a) 13/3 (b) 1 (c) -4
b
Which is the nearest to -3? (a) 2/21 (b) 4 (c) 20 (d) -0.3
d
Which is the nearest to -1? (a) -1/8 (b) -4 (c) 23 (d) -0.3
d
Which is the nearest to -0.1? (a) 3 (b) -2/19 (c) 0.119
b
Which is the closest to 0.18? (a) -18 (b) 4 (c) -2/11
c
What is the closest to 0 in 5, -6, 0.4?
0.4
What is the closest to -1/4 in 2/5, 1/8, -58/13?
1/8
What is the closest to 0 in -6, 1, 19?
1
What is the closest to 1 in -1/16, 2.6, -0.2?
-1/16
Which is the closest to -1? (a) -1/34 (b) 0 (c) 2/15 (d) 2
a
What is the nearest to -1 in -24, -0.01, 2?
-0.01
What is the nearest to -2/9 in 4/3, 3, 5/4, -3?
5/4
What is the nearest to -1 in 2/5, 1, -14/83, -4/5?
-4/5
Which is the nearest to -2/13? (a) -1 (b) 0.4 (c) -6 (d) 4/7
b
Which is the closest to -0.1? (a) 2 (b) -0.2332 (c) -0.5
b
Which is the nearest to -1/3? (a) 5 (b) -4/9 (c) -4 (d) -11
b
Which is the nearest to 1/6? (a) -4 (b) -2 (c) 3
b
Which is the nearest to 0.18? (a) -23 (b) -4/5 (c) -5
b
Which is the closest to -0.2? (a) -0.05 (b) 0.2 (c) 2/11 (d) -0.3
d
Which is the closest to -2? (a) 0.5 (b) 1/4 (c) 0
c
What is the nearest to 2/7 in 0.1, 0.3, -2, -3?
0.3
What is the closest to 26 in -1/2, 1/4, 0.3?
0.3
Which is the nearest to 2? (a) 0.43 (b) 0.5 (c) -0.3
b
What is the nearest to -1224 in -0.3, 0.2, 3, -3?
-3
Which is the closest to -0.1? (a) -1/6 (b) -3/2 (c) -2/9
a
Which is the nearest to 4? (a) -4 (b) 0.06 (c) 2 (d) 1
c
Which is the nearest to 2/3? (a) 1/9 (b) 1/2 (c) 0 (d) -0.036
b
Which is the nearest to 0.3? (a) -2/41 (b) 0 (c) -0.3
b
Which is the closest to -1/3? (a) 0.4 (b) -3 (c) -0.4 (d) 2
c
Which is the closest to 1/4? (a) 1/4 (b) -42 (c) -4 (d) 0.3
a
What is the closest to -1/3 in 5, 6, -46?
5
Which is the nearest to 0.1? (a) 0.5 (b) -16 (c) -5
a
Which is the nearest to -1? (a) -5 (b) -2/51 (c) 2 (d) -1
d
What is the nearest to -2/7 in -6, 2/55, 0, 2?
0
What is the nearest to 1 in -2, -0.146, 0.5?
0.5
Which is the closest to 2? (a) -2/23 (b) -10 (c) 4
c
Which is the nearest to 0.1? (a) 14 (b) 4 (c) 75/8
b
Which is the closest to -1? (a) 5 (b) 0.5 (c) 0.3
c
Which is the closest to 3? (a) -0.1 (b) 0.1 (c) -1/3
b
Which is the closest to 3? (a) -4 (b) -5 (c) -15 (d) -0.02
d
Which is the nearest to -0.5? (a) 8 (b) 0.4 (c) 5 (d) -3/5
d
Which is the closest to -0.2? (a) -3 (b) -0.5 (c) -6/5 (d) 9/8
b
Which is the closest to 1? (a) 0.3 (b) -0.3 (c) -1/8 (d) -5
a
Which is the nearest to 0? (a) 4/7 (b) 161 (c) 3/11 (d) -1
c
Which is the nearest to -3/4? (a) 1/2 (b) 0 (c) -0.416
c
Which is the closest to 0? (a) 25 (b) 1/6 (c) -0.4 (d) -1
b
Which is the closest to 0.1? (a) 0.3 (b) -1 (c) 1/3
a
Which is the closest to 2/3? (a) -6/7 (b) -5 (c) 0 (d) 0.2
d
What is the closest to -8 in -2/7, 0.5, 3, -36?
-2/7
Which is the nearest to 3/4? (a) 8 (b) 0.3 (c) -2 (d) -0.1
b
What is the closest to 0.1 in -3.07, -5, 0.2?
0.2
Which is the closest to -0.5? (a) 1 (b) -0.4 (c) 0.5
b
What is the nearest to -1 in -3/4, 0.14, -1/2, -4?
-3/4
Which is the closest to -1/2? (a) -0.9 (b) 1/4 (c) 3/11 (d) 2
a
Which is the nearest to 0? (a) -1/6 (b) -3/7 (c) 5/6 (d) 5
a
What is the closest to -62 in -4, 1, 5?
-4
Which is the closest to -2? (a) 1 (b) -2/25 (c) -79 (d) -1
d
Which is the nearest to -1? (a) -2 (b) 4 (c) 1/18 (d) 2
a
What is the nearest to 0.1 in 5/4, -2/5, -2, -5?
-2/5
What is the closest to 0.1 in 0, 2/7, -50, -2/9?
0
Which is the nearest to -4? (a) 0.01 (b) 0.1 (c) 0.3 (d) 3
a
Which is the closest to 2/21? (a) 8 (b) -2/7 (c) -4 (d) -1
b
What is the closest to -0.2 in 0.1, 4, 1/6, -0.1?
-0.1
Which is the nearest to -1? (a) 2 (b) 0 (c) 1/16
b
Which is the nearest to 1/6? (a) -2 (b) 0 (c) -9 (d) 5
b
Which is the nearest to -3/8? (a) -4/5 (b) 2/5 (c) -0.2 (d) -0.15
c
Which is the nearest to 38? (a) 1 (b) -2/11 (c) 4 (d) 0.5
c
Which is the nearest to 0? (a) 1.3 (b) 3 (c) -0.1
c
Which is the nearest to 0.1? (a) -2 (b) 0.3 (c) -6
b
Which is the closest to 3? (a) 2/3 (b) 0.4 (c) -2/7 (d) 1
d
What is the nearest to 0.1 in -2/3, -0.2, -3.7?
-0.2
Which is the nearest to 0.1? (a) 0.07 (b) -0.35 (c) -3
a
Which is the closest to 0? (a) -2 (b) -2/39 (c) 4
b
Which is the closest to 0.4? (a) -2/5 (b) -3/2 (c) -21 (d) 13
a
What is the closest to -1 in 1/11, 0, -1/6, -0.15?
-1/6
Which is the nearest to 0.5? (a) -3/2 (b) -5 (c) -6 (d) -9.1
a
What is the closest to -2 in -5, -0.1, -5/4?
-5/4
Which is the nearest to 4? (a) -5 (b) 0 (c) -1
b
What is the closest to -1/3 in -1/3, 3, 0.06,
|
{
"pile_set_name": "DM Mathematics"
}
|
? (a) 3 (b) 0.104 (c) 54/5
a
What is the fourth smallest value in -0.06, 3/16, 2, -0.1, -2, -45?
-0.06
What is the smallest value in -9, -6.2, 0.1, 0.077?
-9
Which is the fourth biggest value? (a) -1/2 (b) -1/5 (c) 7 (d) -31 (e) -1/8
a
What is the biggest value in -0.3, -0.07, -1.2, -0.171, -1/7, -1/2?
-0.07
What is the second biggest value in -0.4, -1, -21837/11?
-1
Which is the third biggest value? (a) 0.1 (b) 4 (c) 8/33 (d) -1/5 (e) 0.6
c
Which is the smallest value? (a) 0.1 (b) 1/4 (c) 2/17 (d) 325
a
Which is the biggest value? (a) -6/2161 (b) 1/4 (c) -0.06
b
What is the biggest value in 2/5, 2, 2/7, -52, 0, 0.04?
2
What is the sixth smallest value in -2, 0, -9, -8.68, -0.1, -1/2?
0
Which is the smallest value? (a) -4 (b) 5 (c) -2/17 (d) -31 (e) -0.053
d
Which is the third smallest value? (a) 0.4 (b) -3/5 (c) 8 (d) 13 (e) -11 (f) -2/11
f
What is the fifth biggest value in 12, 6, 0.5, 1, 1/215, 4/7?
0.5
Which is the fifth biggest value? (a) 12 (b) 1 (c) 1/3 (d) -0.35 (e) -2/5 (f) 5
d
Which is the second smallest value? (a) -3407 (b) 20.1 (c) 2/15
c
Which is the second biggest value? (a) -4/9 (b) 0.4 (c) -14473 (d) 3/8 (e) -2/3
d
What is the second biggest value in 0.3, -2/3, -3/2, -4, 0.4, 10/1933?
0.3
Which is the third biggest value? (a) 4 (b) -0.24 (c) -64
c
What is the fourth biggest value in -2, 5, -2/5, -1311?
-1311
What is the third smallest value in -1/2, 3, -4, -0.163, 0.2?
-0.163
Which is the fourth smallest value? (a) -1/4 (b) 3/5 (c) -0.1 (d) 0 (e) 222
b
Which is the third biggest value? (a) 0.16 (b) -0.4 (c) -5896
c
What is the biggest value in 0, -14, -12/55?
0
What is the sixth smallest value in 0.3, -2, 15, 0.4, -2/13, 2/25?
15
Which is the second biggest value? (a) -37 (b) 93.95 (c) -3
c
What is the third smallest value in 15, 1, 2, -29, 0.09, -4?
0.09
What is the second biggest value in 1/12, -0.118, 1?
1/12
Which is the third smallest value? (a) -41 (b) -689 (c) 2/5 (d) 1
c
What is the third biggest value in -51/13, 21, -2?
-51/13
Which is the third biggest value? (a) -0.4 (b) 1/2 (c) -3/2 (d) 303
a
What is the second smallest value in 3/16915, -17, 2/7, -4?
-4
Which is the biggest value? (a) -2/5 (b) -4/11 (c) -63.4
b
Which is the fourth biggest value? (a) -0.1 (b) 1/4 (c) -5/6 (d) -0.072
c
Which is the smallest value? (a) -0.2 (b) -0.016 (c) -28 (d) 4 (e) 2
c
What is the third smallest value in -0.075, -19/4, 2, 0.2, -1?
-0.075
What is the biggest value in 100581, -1/5, 4?
100581
What is the third smallest value in 3, 24, -141?
24
Which is the second biggest value? (a) 4/3 (b) 0.19 (c) 8/1083 (d) 2
a
What is the sixth biggest value in -0.03, -5, 506, 3, -17.6, -0.4?
-17.6
Which is the biggest value? (a) -7 (b) 3.972 (c) 0.4
b
Which is the smallest value? (a) 12.3 (b) 3 (c) -7/4 (d) -0.4 (e) -1/20
c
What is the second smallest value in -19, 0.5, 5, 2/7, 0.236?
0.236
Which is the second smallest value? (a) 1/4 (b) 2/9 (c) -32.6 (d) -0.5
d
Which is the biggest value? (a) 1/5 (b) 20.93 (c) 234 (d) 2
c
What is the biggest value in 0.4, 3/37, -1.1, 3?
3
Which is the smallest value? (a) 71323 (b) 4 (c) -4
c
What is the second biggest value in 0.028, -3/8, 25?
0.028
What is the fifth smallest value in -4, 5, -3/25, 6/11, 3, 9?
5
What is the biggest value in 5/2, 468, 4, 43/2, -1/8?
468
Which is the second biggest value? (a) -1 (b) 3849 (c) 0.2 (d) -6
c
Which is the smallest value? (a) 1.3 (b) 0.03 (c) -0.88
c
What is the second biggest value in 9, -79.89, 0.5?
0.5
Which is the third smallest value? (a) 2 (b) 22 (c) 380/7
c
What is the sixth biggest value in -0.1, 2/5, -11, 147, 3, 0.15?
-11
What is the third biggest value in 2/185, -1, 79?
-1
Which is the fifth biggest value? (a) 45 (b) -0.6 (c) -3 (d) 4 (e) -21
e
What is the second biggest value in -2/13, 5/2, -4, -1/3, 499?
5/2
Which is the smallest value? (a) -1280 (b) 1/2 (c) 16/9
a
Which is the biggest value? (a) 0.02 (b) 45.82 (c) 0.3
b
What is the fourth smallest value in -264, -344, -1/3, -0.5?
-1/3
What is the third smallest value in -159, -0.5, -0.04, -0.237?
-0.237
What is the second smallest value in -0.12, -0.1, -211?
-0.12
What is the third smallest value in 2, -0.52, -1/5, -1/2, -0.05?
-1/5
What is the sixth smallest value in -2/15, 1, -1, 10, -9, 2/11?
10
Which is the second biggest value? (a) -1 (b) -3 (c) -0.5 (d) 2/9 (e) 1624
d
What is the smallest value in -3/4, -0.5, -2/23, -1/3, -13?
-13
Which is the fifth biggest value? (a) 3/5 (b) 2/3 (c) 0.3 (d) -1 (e) 1/5 (f) -205/9
d
Which is the fifth smallest value? (a) -3 (b) -6/55 (c) 0.5 (d) 9 (e) 1/3 (f) -5
c
Which is the fourth biggest value? (a) -2/7 (b) 34 (c) 9.5 (d) 1/6
a
Which is the biggest value? (a) -0.05 (b) 0.07 (c) 0.08
c
What is the smallest value in 14/5, 0.7, -41?
-41
Which is the biggest value? (a) -2/11 (b) 12 (c) -146 (d) -7
b
Which is the third smallest value? (a) -3 (b) 3/2 (c) 1/3 (d) 69/17
b
Which is the fifth smallest value? (a) -0.2 (b) 1/3 (c) 1 (d) -2 (e) -10
c
Which is the fifth biggest value? (a) 5 (b) 75 (c) 4/9 (d) 5/3 (e) -6
e
What is the second smallest value in 13, 1/4, -13, 0.5, 74?
1/4
Which is the sixth biggest value? (a) -0.4 (b) 0 (c) 0.1 (d) 31 (e) 0.3 (f) -3
f
Which is the third biggest value? (a) 22 (b) -1.2 (c) -1/4 (d) -5 (e) -20
b
What is the third smallest value in 1/3, -4, 73, -2/5?
1/3
Which is the fifth biggest value? (a) 3 (b) 0.016 (c) 53 (d) -1/3 (e) -3
e
Which is the second biggest value? (a) 3.67 (b) -0.1797 (c) -1
b
What is the third biggest value in 1, -5, 134.5?
-5
Which is the second biggest value? (a) 0.5 (b) -1/17 (c) 7/300 (d) 2/5 (e) -4
d
What is the fifth biggest value in 1/5, -0.5, 1818, -0.156, 1/3?
-0.5
Which is the fourth biggest value? (a) -7.2 (b) 9/4 (c) -6 (d) -5
a
Which is the smallest value? (a) 3 (b) -1.49013 (c) 5 (d) -2/7
b
What is the fourth smallest value in 9/13, 0.15, -2, -49?
9/13
Which is the fifth smallest value? (a) -4 (b) -5/4 (c) 1174 (d) 0.5 (e) -0.1 (f) -5
d
Which is the second smallest value? (a) -1/6 (b) -4 (c) 1/72 (d) 22 (e) 1
a
What is the third biggest value in 0, -5, -4, 3, 279?
0
Which is the fifth biggest value? (a) 5 (b) -1/11 (c) 0.1 (d) -3 (e) -21/4 (f) 2.05
d
Which is the third biggest value? (a) 2/3935 (b) -0.4 (c) 1/3
b
Which is the third smallest value? (a) -4 (b) -11660 (c) 3/5
c
What is the fifth biggest value in 0.3, -5, -1, 6, -10?
-10
Which is the third biggest value? (a) 5 (b) -0.07 (c) 46 (d) 1.31
d
Which is the second smallest value? (a) 18/11 (b) -6/7 (c) 4 (d) 3
a
What is the third smallest value in -3/2, 1/15, 0.01, -0.08?
0.01
What is the second biggest value in 533, -1/3, 24, 5?
24
Which is the second smallest value? (a) -1.66 (b) 8 (c) -1/5 (d) 2/15
c
Which is the sixth biggest value? (a) -12 (b) 2/5 (c) 3 (d) 7 (e) 10 (f) 4
a
Which is the fourth smallest value? (a) -8 (b) 5 (c) -3 (d) -0.065
b
What is the third biggest value in 12/19, 483, 1/7?
1/7
Which is the second biggest value? (a) -5 (b) 5/14 (c) -8/5 (d) -1
d
Which is the third biggest value? (a) 5/3 (b) -0.4 (c) 0.13 (d) 8/289 (e) -1
d
What is the second smallest value in 4, -905, 2/5, 0.7?
2/5
What is the third smallest value in -4.03, 2/13, -20?
2/13
Which is the third biggest value? (a) 1 (b) 95/18 (c) 0.3
c
Which is the second smallest value? (a) -0.5 (b) -0.4 (c) -85/2
a
Which is the biggest value? (a) 0.1 (b) 3339 (c) 3/4 (d) -0.51
b
What is the third biggest value in 2/3, -5/3, -11, 5, -69/7, 0?
0
Which is the third biggest value? (a) 3/4 (b) -4 (c) -7/2 (d) -30
b
What is the fourth biggest value in -1, 359, -3, 2/7, -18?
-3
Which is the second smallest value? (a) -4 (b) 274 (c) 11
c
Which is the smallest value? (a) 2/11 (b) -4 (c) -119754
c
Which is the third smallest value? (a) 2 (b) 0.3 (c) -2/673
a
What is the second biggest value in 2/13, -4, 4.7, 3, -9, 0.4?
3
What is the fourth smallest value in -7.4, 0.26, -1, -5/4?
0.26
Which is the third biggest value? (a) -131 (b) -1/26 (c) 48
a
Which is the second biggest value? (a) 0.1 (b) -0.3 (c) 4 (d)
|
{
"pile_set_name": "DM Mathematics"
}
|
5*g**2 - 1. Let q(m) = m**2 - 9*m - 10. Let l be q(9). Let x(o) = -o**2 - 9*o + 14. Let v be x(l). Suppose 2*b - v = 6. What is d(b)?
-1
Let g(d) be the first derivative of -d**3/3 + 7*d**2/2 - 5*d - 3. Let i be (-115)/(-25) - 4*4/(-40). Determine g(i).
5
Let y(n) be the first derivative of -2*n - 4/3*n**3 - 1 - 1/4*n**4 + 2*n**2. Suppose -5*g - i + 6 - 28 = 0, 5 = -4*g - 5*i. Determine y(g).
3
Let l(x) = 9*x - 49. Let g(c) = -4*c + 23. Let h(j) = -13*g(j) - 6*l(j). Give h(-16).
27
Let f(y) = y**2 - y**3 - 10*y**2 + 6 + y**2 - 7*y. Suppose 330 = 15*t + 435. Give f(t).
6
Let o(b) = b. Let n = 17 + -16. Let d be (0*(-1)/(-2))/(0 + n). Calculate o(d).
0
Let l(t) = t - 4. Let q(x) = -x + 5. Let d(k) = -3*l(k) - 4*q(k). Let v = -52 + 62. Let c be (1 - (8 - 3)) + v. Determine d(c).
-2
Suppose -3*j + 11*o - 8*o = -9, 4*j - 2*o = 14. Let d(t) = -t**3 + 4*t**2 + 3*t - 3. What is d(j)?
9
Let h(i) be the second derivative of -i**3/3 - i**2 - i. Let l(u) = u**2 - 17*u + 29. Let v be l(15). Let n be (-21)/(-15) + v - 16/(-10). Calculate h(n).
-6
Let q(m) = -12*m**2 + m. Let f be -6*(-2)/(-4) - -5. Suppose -f = -3*g + 13. Suppose -n = -5, -g*t + 41 - 11 = 5*n. Determine q(t).
-11
Suppose -5*b - 3*s - 21 = 0, -5*b + 2*s - 10 = 1. Let v(y) = -5*y**2 + 7*y - 9. Let q(j) = j**2 - j + 2. Let z(p) = -11*q(p) - 2*v(p). Calculate z(b).
-4
Let k(x) = 2*x + x**2 + 3 + 3*x + 3. Suppose -5*j + 10*u - 130 = 5*u, -11 = j + 4*u. Let b be (4/(-5))/(j/(-115)). Give k(b).
2
Let o be 4/(-22) - 2/(44/282). Let u(c) = -c**3 - c**2 + 10*c + 13. Let l(j) = -2*j**3 - 3*j**2 + 21*j + 27. Let b(h) = o*u(h) + 6*l(h). Give b(6).
5
Suppose -7*h = 340 + 262. Let f = h - -87. Let r(b) = 4*b - 7. Let q(j) = 7*j - 15. Let c(x) = -6*q(x) + 13*r(x). Give c(f).
9
Suppose 4*p - 7 = 2*q + 3*p, 0 = -3*p + 15. Let r(m) = -24*m**3 + 2*m + 1. Give r(q).
23
Let a = 5 + -9. Let j = a - -9. Let q(d) = -4*d + 7*d - 4 + j + 1. Calculate q(-2).
-4
Let r(f) = f. Suppose -u - 4*a = -3, 2*u = -2*a + 7 - 1. Let b = 2 + u. Suppose -b*t + 37 = -2*l, 0*l - 20 = 5*l + 2*t. Determine r(l).
-6
Suppose -h - 27 = 5*s, -3*h - 3*s + 8*s - 61 = 0. Let f = h - -24. Let k(t) = 10*t**f + 1 + 3*t - 3*t**2 - 6*t**2 + 3. Give k(-3).
4
Let m(o) be the second derivative of 0*o**2 + 5*o - 1/3*o**3 + 1/20*o**5 - 1/12*o**4 + 0. Calculate m(2).
0
Let u = 99 + -9. Suppose -u = 3*d - 69. Let j(z) = -z - 9. Determine j(d).
-2
Let j(u) = u**2 + 4. Let s(c) = -4*c + 8. Let p(w) = w + 1. Let k(g) = -6*p(g) - s(g). Let d be k(-7). Calculate j(d).
4
Let h(i) = 3*i - 41. Let q be h(12). Let t(u) = u**3 + 7*u**2 + 6*u. Determine t(q).
20
Let g = 70 + -43. Let j = g - 21. Let k(z) = -z**2 + 4*z + 7. Calculate k(j).
-5
Let d(q) = q + 7. Let b be d(-5). Let x(s) be the third derivative of 0 + 1/60*s**6 + 0*s - 4*s**2 - 1/24*s**4 + 1/3*s**3 - 1/30*s**5. Determine x(b).
8
Let u(q) = q**3 + q**2 + q + 1. Suppose -30 = -2*v - 2*j, 6 = v + 5*j - 29. Let c(s) = s**2 - 12*s + 19. Let f be c(v). Determine u(f).
0
Let n(h) = -326 - 6*h + 3*h + 306. Determine n(-10).
10
Let m(n) = 2*n**2 - n + 2. Let v(t) = 12*t - 1 - 17*t - t**2 + 6*t. Let s(r) = 3*m(r) + 7*v(r). Calculate s(4).
-1
Let x(q) = -q + 13. Let j be x(6). Suppose -4*p - 3 = -j. Let z(k) = 8 + p + 0 + 2*k - k. What is z(-5)?
4
Suppose -2*d = 2*q + 8, -3*d + 13*q = 15*q + 10. Let v(w) = -2 + 2 + w**2 + 2*w + 2. Give v(d).
2
Suppose a - 4*a = 0. Suppose 4*d - 4 = -a*d. Let f(m) = 27*m - 16*m - 13*m - 5*m. What is f(d)?
-7
Let r(y) = -5*y**3 + 8*y**2 - 8*y. Let f(v) = -v**3 + v**2 - v. Let p(b) = 6*f(b) - r(b). Suppose -22 = -16*o + 14*o. Suppose -6*c = -o*c - 15. Determine p(c).
3
Let k(c) be the third derivative of 0*c - 6*c**2 - 2/3*c**3 - 1/8*c**4 + 0. Give k(-4).
8
Let o(n) = 4*n + 4. Suppose -16 - 2 = -9*q. Let v(r) = -3*r - 3. Let d(b) = q*o(b) + 3*v(b). Determine d(-6).
5
Let y(i) = -i**3 + 1. Let p = -6 + 6. Let g = p - -4. Let a(f) = -f**3 + 3*f**2 + 4*f - 1. Let t be a(g). What is y(t)?
2
Suppose 148*b + 19*b + 835 = 0. Let c(v) = 2 + 7*v - 3*v - 3*v. Calculate c(b).
-3
Let l(a) = -a - 1. Suppose -i = 2*w - w + 18, 5*i + 78 = -2*w. Let p = 4 + i. Give l(p).
9
Let n(o) = -7*o**3 - o**2 + o + 1. Let b(y) = -y**3 + 7*y**2 + 5*y + 12. Let r be b(8). Let t = -13 - r. Calculate n(t).
6
Let h be 1/((-2)/(-3) + -1). Let x(p) = p**2 + p + 2. Give x(h).
8
Let f(a) be the third derivative of 5*a**4/12 + a**3/2 - 160*a**2. Calculate f(-4).
-37
Suppose 171*f + 96 = 179*f. Let k(c) = -c**3 + 11*c**2 + 10*c + 12. What is k(f)?
-12
Let u(z) = 3. Let t(i) = -i - 9. Suppose 0 = -2*q + 12 + 2. Let k(n) = q*u(n) + 2*t(n). What is k(5)?
-7
Let n = 14 - 14. Suppose 4*i + 2*i - 12 = n. Let r(y) = -i - 2*y**2 + 3*y**2 + 0*y**2 + 0*y**2. What is r(-2)?
2
Let s(q) be the second derivative of -q**3/6 - q**2 - 101*q. What is s(-8)?
6
Let k(i) = i**3 - 14*i**2 - 2*i - 15. Let s(w) = 11*w + 630. Let o be s(-56). Calculate k(o).
-43
Let b(x) = -x**2 + 3*x + 6. Let s be b(-2). Let w(p) = 0*p + 8*p - 5*p. Calculate w(s).
-12
Let o(i) be the second derivative of -i**5/20 + 2*i**4/3 + 5*i**3/6 + 3*i**2 + 129*i. Calculate o(9).
-30
Let w(k) be the second derivative of -k**3/6 - k**2/2 + k. Let a be (1 - -1)/((-285)/(-70) - 4). Let x = -34 + a. Calculate w(x).
5
Let d(t) = 19*t + 1. Let m(o) = -12*o - 1. Let z(f) = -5*d(f) - 8*m(f). Give z(-7).
-4
Let v(d) be the first derivative of 2*d**3/3 + 2*d**2 + 2*d + 6. Let r be v(-2). Let z(j) = 6*j**3 - 7*j**3 - j - 7*j**r + 5*j - 3*j. What is z(-7)?
-7
Let l(a) be the second derivative of a**5/20 - a**4/12 - 5*a**3/6 - 2*a**2 - 31*a. Calculate l(-3).
-25
Let j = 27 + -28. Let p be (-3)/9 + (-26)/(-6). Let s(f) = 2*f - 4. Let l(r) = -r + 3. Let k(w) = p*l(w) + 3*s(w). Give k(j).
-2
Let f(b) = 7*b - 1. Let i(l) = 6*l - 1. Let j be (-6)/10*(-13 - -18). Let c(r) = j*f(r) + 2*i(r). Suppose -3*u - 3 = -0*u. Calculate c(u).
10
Let f(r) be the first derivative of 3*r**2/2 + 31*r - 17. Give f(-9).
4
Suppose -20 = 101*k - 96*k. Let n(h) = -h**2 - h. Let y(j) = -3*j**2 - 4*j + 3. Let g(t) = -2*n(t) + y(t). Calculate g(k).
-5
Let q(g) be the third derivative of 1/10*g**5 + 0*g - 1/2*g**3 + 0 + 15*g**2 + 0*g**4 + 1/120*g**6. Give q(-6).
-3
Let q(i) be the second derivative of i**6/40 + 5*i**3/2 + 6*i. Let z(b) be the second derivative of q(b). Calculate z(-1).
9
Let c = -27 - -37. Let t = c + -9. Suppose -b + t = 9. Let a(s) = -s - 15. Calculate a(b).
-7
Suppose 80*c + 14 = 66*c. Let y(q) = -30*q**3 + q**2 - 1. Calculate y(c).
30
Let l(o) = o**2 - 11*o + 11. Suppose 4*r = -20, -5*r - 29 = -4*t + 3*t. Suppose -30 = t*y - 7*y. Determine l(y).
1
Let q(r) = r - 4. Let d = 18 - 18. Let i = d - -7. What is q(i)?
3
Let o(j) = 11 - 15 + 5 - 2*j**2. Calculate o(1).
-1
Suppose 1333 = -5*h + 1348. Let q(z) = -2*z + 7. Calculate q(h).
1
Let a be (-228)/39 + (-24)/156. Let i(r) = -4*r - 16. What is i(a)?
8
Let f(k) = -k**3 + 6*k**2 + 0*k**2 + 1 - 3 - 5*k. Let o(p) = 2*p**2 - 18*p + 18. Let j be o(8). Suppose -2*w + 19 = 5*s, 3*s - w = -j*w + 12. What is f(s)?
-2
Suppose -17 = -f + 2*c, -64 - 4 = -4*f + 2*c. Let u(o) = 7*o + 4*o - f*o - 1 + 3*o. What is u(1)?
-4
Let d(o) be the second derivative of -o**4/12 - 17*o**3/6 + 23*o**2/2 + 44*o. Calculate d(-18).
5
Let l(m) = -m**2 + 3*m. Let w be (-12)/21 + (-96)/(-21). Calculate l(w).
-4
Let o(b) = 2*b**3 - 2*b**2 - 2*b + 1. Let k = 386 - 384. Give o(k).
5
Let x be (-8)/(-12)*18/4. Let p(t) = t**3 - t + 2. Let u be p(0). Let o be x - (1 + 9)/u. Let k(n) = 3*n**2 + 4*n + 3. Determine k(o).
7
Let m = -10 - -15. Suppose 3*c + 4*v + 6 = -2*c, 0 = 4*c + 3*v + m. Let g(q) = 9*q + 8. Let u(t) = -19*t - 17. Let l(r) = 13*g(r) + 6*u(r). What is l(c)?
-4
Let l be 0 - (-4)/4 - 5. Let v(m) = 0 - 11*m - m**2 - 1 - 7*m + 13*m. Give v(l).
3
Let o(z) be the first derivative of -z**4/4 - 5*z**3/3 - z**2 + z + 1. Let b = 6 - -3. Suppose 2*h + 9 = y, -2*y - 3*y + b = -h. Give o(h).
-7
Let r(m) = 71*m**3 - 2*m**2. Let d be r(1). Let x = d + -69. Let l(b) = -b - 10. Calculate l(x).
-10
Suppose 0 = 2*b - 5*v + 13, 15*v + 11 = -3*b + 14*v. Let l(r) = -r**3 - 7*r**2 - 14*r - 9. Determine l(b).
-1
Let g = -33 + 32. Let b be g - (0 - (2 - 3)). Let m be ((-16)/12)/(b/(-3)). Let d(v) = v**2 - v - 1. What is d(m)?
5
Let s be (1*-1)/((-2)/4). Let v(k) = 2*k**2 + 1. Let o be v(-1). L
|
{
"pile_set_name": "DM Mathematics"
}
|
3*t for g.
-3
Solve 2*r = m - 10, -89*r + 12 = -93*r - 2*m for r.
-4
Solve 3*i - w + 1595 = 1575, 3*w + 17 = -2*i for i.
-7
Solve -911*z - 414 = -915*z + 6*j + 170, 0 = -8*z - 4*j - 400 for z.
-1
Solve 7*x - 2*a - 45 = 0, -121*x = -129*x + 5*a + 84 for x.
3
Solve 395*u + 2*z + 4736 = 0, -4*u - 3*z + 599 - 641 = 0 for u.
-12
Solve -5*l + 5*z = -175, -44*l + 96*l - 47*l = -5*z + 155 for l.
33
Solve -24 = -2*r + 10*g, 4*r + 2982*g + 2 = 3*r + 2979*g - 3 + 1 for r.
2
Solve -13 = 4*s + 26*j - 29*j + 25, -5*s = 5*j + 65 for s.
-11
Solve 0 = 8*k - 5*k + 12*k + 750, -4*h - h + 12*k + 590 = 0 for h.
-2
Solve -395 + 218 - 307 = -7*w + 4*v, 355 = 5*w - v for w.
72
Solve 48*r - 88*r + 6*p - 2*p = -43*r - 173, -16*r - 5*p = 988 for r.
-63
Solve 4 = 2*c, 4*l - 124*c + 56*c = -66*c + 4 for l.
2
Solve 184*w + 2 = 183*w - 0, 4*x + 6 = 2*x - 5*w for x.
2
Solve 230 + 137 = h - 7*y + 293, -2*y = 5*h + 37 for h.
-3
Solve -k - 5*l = -2425 + 2364, l = 6*k + 6 for k.
1
Solve -3*z + 47 = 2*k, 2*z - 122319 = 2*k - 122341 for z.
5
Solve 4*v + 23 + 5 = -6*m - 0, 4*v + m + 18*m + 127 = -v for v.
5
Solve 2*d - 4*b + 3*b - 14 = -33, -2*b - 6 = -14*d - 0*b - 44 for d.
0
Solve -121*m = -123*m - 15*f - 46 + 248, -4*m - f - 50 = -338 for m.
71
Solve -181*s = 3*r + 248*s - 428*s - 102, 3*r + 4*s = 111 for r.
33
Solve 14*n + 1117 - 1080 = 3*f, 2*f = 11*n + 33 for f.
-11
Solve -4*l + 9 = k, -l + 2145 = l - 14*k + 2213 for l.
1
Solve -3*p - 10 = -3*n + 50, -2*n + 494 = -28*p - 7*n for p.
-18
Solve -9*z - 5*a + 37 = 0, -4*z = 335*a - 342*a + 85 for z.
-2
Solve 228*l = -g + 2*g + 230*l - 2, 5*l - 5 = 21*g for g.
0
Solve -2*r = 8*k - 48, -2*r - 88136 = -k - 88148 for r.
8
Solve -4*q + 65043 = i + 65069, 4*i + q = 2*q + 2 - 4 for i.
-2
Solve -162*n = -10*g - 165*n - 300, -4*n = -4*n + 3*n for g.
-30
Solve -19243*s = -19242*s + n + 27, 43 = -9*s - n for s.
-2
Solve 0*y - 4*y - y = 115, 11*p - 7*p + 3*y = -49 for p.
5
Solve -692*w + 77 + 121 = 11*f - 693*w, 3*f = 5*w + 54 for f.
18
Solve -15159707*a - 17 = -15159706*a - 3*l, 0 = -4*a + 2*l - 38 for a.
-8
Solve -q - 5*b = 7552 - 7532, 2*b = -q - 8 for q.
0
Solve 57 - 42 = 5*w + 30, 2*x + 5*w + 3 + 6 = 0 for x.
3
Solve -4*j + 194046 - 194081 = 3*k, 0 = -2*j - 22 for k.
3
Solve 26402*s - 26404*s - 45 = -h, -239 = -5*h - 3*s - s for h.
47
Solve 4*v + 184 = -4*l, 2*l + 1 + 131 = -3*v - 1 for l.
-5
Solve -7*p = -0 + 4 + 10, 6*p - p - 8 = 3*r for r.
-6
Solve -3*y + 4*y = 5*y + v + 3, -y = -8*y + 5*y + 2*v + 6 for y.
0
Solve -4*z = -5*f - 12, 0*f + 8*f = 3*f + 13*z - 4*z - 2 for f.
-4
Solve 5*d - 25781*x + 25779*x + 1 = 0, -3*x - 5 = -d for d.
-1
Solve -z + 35 = -2*j, -4*j - 32 = 5*z + 73 for z.
-5
Solve -h - 1 - 6 + 3 - 4 = 5*y + 2, 2*y = -299*h + 2982 for h.
10
Solve 0 = 3*o - 5*g + 42, -4*o + 0*g - 7*g = 24*g + 56 for o.
-14
Solve -34*r = -2*w - 38*r + 4, -52 - 38 = -16*w - 3*r for w.
6
Solve 10*r + 2*b + 114 = 0, 17*r + 5*b = 15*r - 32 for r.
-11
Solve -3*o + 207207 = d + 207113, 4*o = -3*d + 282 for o.
0
Solve 20*w = -42*d - 444, -w + d = 4*d + 2*d + 57 for w.
3
Solve -2134*h - 2*p + 66 = -2132*h, h = -p + 5*p + 8 for h.
28
Solve 0 = 4*f + 2*j - 495 + 409, -3*f - 157*j - 361 + 6476 = -7*f for f.
2
Solve -3*f + 10*w + 121 = 15*w, -4*f + 2*f + 2*w - 5 = -59 for f.
32
Solve 0 = -2*g + 13772*l - 13757*l + 13, -7 = 4*g + 3*l for g.
-1
Solve -18511*s = 5*y - 18500*s + 85, y - 3*s = -43 for y.
-28
Solve 2*r + 72 = -2*k + 90, -k - 3*k = 2*k - k + 51*r + 93 for k.
12
Solve -5*n - 30 = -n - n - 3*v, 0 = -5*n + 22504*v - 22501*v - 40 for n.
-5
Solve 2*f = -0*m - 5*m + 4, -37*m + 1684 - 1616 = 2*f for f.
-3
Solve 4*i - 5 + 14 = -6*b - 55, i - 3*i - 38 = 0 for b.
2
Solve -125*r + 64 = -3*y - 124*r, 0 = -5*y - 38*r - 147 - 39 for y.
-22
Solve -5*g + 298*c - 302*c = 93, c - 83 = 5*g for g.
-17
Solve 6*o + 7 = -o - 14, 0 = 3*r + 149*o - 152*o + 65 - 68 for r.
-2
Solve -2*i + 2*p = -7*i + 25, -136*p = 29*i - 131*p - 112 for i.
3
Solve 11*l + 728 = 52*r + 6*l, 15 = 4*r + 3*l - 41 for r.
14
Solve 0 = -164342*x + 164347*x - 2*h - 171, 3*x - 2*h = 101 for x.
35
Solve 89 + 188 = 5*v + 4*i - 59, 170 = 3*v + 2*i for v.
4
Solve 5*c - 3*h - 58 = 0, -118*h - 285 = -2*c - 93*h for c.
5
Solve 5*k + 171*y + 2726 = 0, 18*y = 4*k + 21*y + 16 + 24 for k.
2
Solve 4*z - 60 = -39442*o - 39442*o + 78880*o, -2*o + 2 = -5*z for o.
11
Solve 3*d + h - 14 = 0, 296 = -4*d + 4*h + 570 - 282 for d.
3
Solve 2*a + 8*h + 266 = -4*a, -287*h - 117 = 2*a - 290*h for a.
-51
Solve 2*x + 36 - 47 = -4*u + x - 47, 36 = -4*u - 4*x for u.
-9
Solve -7855645*u + 5*b - 85 = -7855640*u, -2*b + 31 = -3*u for u.
3
Solve 6*k + 6 + 44 = -4*a - 22, -4*a - 42 = 3*k for k.
-10
Solve -w + 15*f - 26*f = -16*f + 339, -36*w + 124 = 4*f for w.
-4
Solve 0 = -4*f + 2*r, -23145*f + 23150*f + 11*r - 108 = 0 for f.
4
Solve -2*n + 2*x - 72 = -0*n, 19*n + 18*x - 132 = 22*n + 21*x for n.
-40
Solve 0 = -26*f - 4*p + 112, -f = -20*p + 6*p + 5*p + 7*p for f.
4
Solve -14 = -2*o + 4*q, 22 + 62 = -51*o + q + 37 for o.
-1
Solve o - 28*z + 214 = 610, -2*z = 3*z - 3*z + 28 for o.
4
Solve -2*f = 9232*x - 9238*x - 8, -1 = 5*x + 4*f for x.
-1
Solve -x + 12 + 9 - 33 = p - 6*x, 111*p - 4*x = 321 for p.
3
Solve 5*h + 2*q + 17 - 46 = 4*h, 0 = -h + 2*q - 35 for h.
-3
Solve 25*t - 37*h + 68*h - 103 = 32*h + 42, -54 = -4*t - 6*h for t.
6
Solve 0 = 2*p - 4*d + 28, -5*p - 22*d - 55 = -29*d for p.
-4
Solve -4*a - 2*v - 26 = -7*a, 5*a + 5*v = 1 + 9 for a.
6
Solve 2*z + 3 = -3*y, -18*z - 6*y + 5*y + 2*y - 117 = z for z.
-6
Solve 440*j - 1 = n + 444*j - 4, -3*n + 5*j - 26 = 10*j for n.
-17
Solve -3*x + 5*o + 4874 = 7*o + 4764, 16 = 4*o for x.
34
Solve -23*b + 18*b - 42*k - 178 = 0, 6*b = b + 3*k + 2 for b.
-2
Solve 2*c = 2*t, 10*t - 410*c = 422*c - 831*c + 36 for t.
4
Solve 5*m + 341 = -7*c - 53, -851 = 15*c + 4*m for c.
-57
Solve -33*i + 49 = -28*i - s, 0 = i - 1304*s + 1308*s - 14 for i.
10
Solve 4*w + 169 = 3*j + 203, 6*j + 102 = -9*w for w.
-2
Solve 280*c - 374 = -r + 537*c - 275*c, -r + 17 = -c + 2*c for r.
-4
Solve 0*l = 5*l - 8*j - 305, -439 = -8*l + 3*j - 3*j + 3*j for l.
53
Solve 0 = -9*v + 16 + 18 - 43, -2*q = -2*v + 8 for q.
-5
Solve 4*d = 2*o - 4, -9*d - 251 = -4*o - 243 for d.
0
Solve -426*l = -411*l + 7*t - 516, l - 131 = -t - t for l.
5
Solve -u - 20 = d + 3*d + 21, -3538*u - 3*d = -3542*u - 69 for u.
-21
Solve -2812*k - 170 = 5*c - 2807*k, -2*k = -c + 71 for c.
1
Solve -x - 12*n + 3633 - 3448 = 0, 4*x = -4*n + 80 for x.
5
Solve 4*i - 24*a - 237 + 117 = 0, -85*i + 82*i + 4*a = -20 for i.
0
Solve -108*f + 66 = -107*f - 4*n, f + 4*n + 0*n = -70 for f.
-2
Solve 2*w - 2 - 4 = -6*b, -14*w - 29*b + 33*b = 4 for w.
0
Solve 0 = 2*l + 3*j - 10 - 23, 38*l - 25*j + 748 = 36*l + 43*j for l.
0
Solve 3*a + 5*i = -93, 4*a + 2*i + 68 = -88 + 18 for a.
-36
Solve 0 = -7*o + o - 2*h - 80, 120 = 6*h - 9*h - 45 for o.
5
Solve 0 = -2*t - 8*d + 40, -5*d + 59 - 82 = 36*t - 31*t - 48 for t.
0
Solve 0 = -5*l + 4*q - 89, -2*l - 13*q + 482 = 211 for l.
-1
Solve -12*i + 5*k = -16, -1425*i = -1421*i - 3*k for i.
3
Solve 4*c + 82 = -10*n - 70 - 62, 4*n = -3*c - 80 for n.
-23
Solve -29*i + 8 = 4*f - 70, -5*f + 53132 = 106213 - 53106 for i.
2
Solve -x + 63 = -17*f - 5*x, 0 = -4*f - 5*x - 117 + 90 for f.
-3
Solve 195*p + 5*o = 190*p - 111 + 456, -11*p + 751 = 3*o for p.
68
Solve n - 2*v - 9 = 0, -7*n + 2155*v = 2162*v + 84 for n.
-5
Solve -1042*u + 1044*u = 4*k - 362, 0 = 3*k - 0*u + 2*u - 254 for k.
88
Solve 771*r = 767*r - 4*n + 256, 2 = -n for r.
66
Solve -27*l + 189 = 0, 2*g - 659*l = -g - 660*l - 2 for g.
-3
Solve 0*y - 84 = -98*r + 102*r + y, -3*r + 18*y = -1137 for r.
-5
Solve 4042*u + 3*d = 4046*u - 39, 5*u - 5*d - 65 = 0 for u.
0
Solve -115 + 112 = 3*o, 102*l + 2*o + 70 = 106*l for l.
17
Solve 4 = c + 5*j, 4*c = -0*c - 2*j + 106 for c.
29
Solve -6*r - 4*m - 85 = 139, -65*r - 6*m + m - 82 = -63*r for r.
-36
Solve -28*h + g - 61 = -33*h, 7760*g + 167 = 25*h + 7762*g for h.
3
Solve 2*w - 30 = -4*w, -4*r + 3*r + 4*r + 5*w - 64 + 12 = 0 for r.
9
Solve t - 12 - 7 = -3*z, 601*t + 665*t + z - 106 = 1225*t + 917 for t.
25
Solve -20*p + 42*p - 21*p = -1, -148 = -8*s - 4*p for s.
19
Solve 2*o - 21*j + 12*j = -12*j + 46, o - 9 = 2*j for o.
17
Solve -22*o - 8*o + 2*s = -128, 31*o - 27*o - 24 = 2*s for o.
4
Solve 6*z + 2*i - 1429 = 4*z - 157*i, 28*z + 3*i - 30 = 3
|
{
"pile_set_name": "DM Mathematics"
}
|
u) = -7*u**3 + 15*u**2 + 3*u + 100. Let s(h) = -15*h**3 + 30*h**2 + 7*h + 198. Let y(f) = 5*i(f) - 2*s(f). Find the second derivative of y(p) wrt p.
-30*p + 30
Let r be 0/(2 - 2 - (6 + -7)). Let w(a) be the third derivative of 0*a + 4/3*a**3 + 7/24*a**4 + r + 6*a**2. What is the first derivative of w(i) wrt i?
7
Let g(b) be the second derivative of -b**6/10 - 11*b**5/20 - 65*b**4/6 + 3*b**2/2 + 153*b. What is the third derivative of g(v) wrt v?
-72*v - 66
Let o(c) be the third derivative of 3*c**7/70 + 17*c**5/60 - 127*c**3/6 - 187*c**2. What is the derivative of o(h) wrt h?
36*h**3 + 34*h
What is the first derivative of -42 - 153 + 173*d + 58*d + 14 wrt d?
231
Let v(l) be the first derivative of 7/3*l**3 - 6*l + 0*l**2 - 25. Differentiate v(w) with respect to w.
14*w
Suppose -4*a + 32 = -32. What is the third derivative of 0*g**6 - a*g**4 + 16*g**4 + 3*g**6 - g**2 wrt g?
360*g**3
Let j = 55 + -51. Find the second derivative of -254*d**2 + 254*d**2 + 29*d - 20*d**j wrt d.
-240*d**2
What is the third derivative of 2*a + 22*a**4 - a**5 + 141*a**2 - 3*a - 215*a**2 wrt a?
-60*a**2 + 528*a
Suppose 10 = 4*h + y + y, -h - y = 0. What is the third derivative of -g**2 + 44*g**5 - 42*g**h - 15*g**2 wrt g?
120*g**2
Let l be ((-3)/1 + 11)/(2/(-11)). Let y(k) = -48*k - 14. Let c(h) = 2*h. Let p(q) = l*c(q) - 2*y(q). What is the first derivative of p(z) wrt z?
8
Let u = -4 - -15. Suppose -6*b - 24 = -4*d - 2*b, u = 2*d - b. What is the third derivative of -d*r**4 + 2*r**4 - 4*r**2 - 2*r**4 - r**4 wrt r?
-144*r
Suppose k = -w, 5*w - 18 = -k - 6. What is the first derivative of -18*l**w + 1 - 4 - 2 - 9 wrt l?
-54*l**2
Let a(m) be the second derivative of 0*m**5 + 7*m + 15/28*m**8 + 0*m**6 + 0*m**2 + 0*m**7 + 13/6*m**4 + 0*m**3 + 0. What is the third derivative of a(o) wrt o?
3600*o**3
Let o(c) be the third derivative of 71*c**6/120 - c**5/12 + 5*c**3/6 + c**2 - 42*c. Find the third derivative of o(r) wrt r.
426
Suppose -64*s = -67*s + 15. Let m(f) be the second derivative of -5*f + 0 + 1/5*f**s + 0*f**4 + 0*f**2 - 2/3*f**3. What is the second derivative of m(c) wrt c?
24*c
Let l(p) = -p**4 - p**2 - p - 1. Let b(u) = -4*u**2 - 8*u - 2*u + 6*u + 6*u**4 + 10. Let h(c) = b(c) - 4*l(c). Differentiate h(v) with respect to v.
40*v**3
Find the first derivative of 0*q**4 - 92*q**4 + 120*q**2 + 101 - 120*q**2 wrt q.
-368*q**3
Let k(a) be the first derivative of -228*a**5/5 + a**3/3 - 2*a + 68. Find the third derivative of k(y) wrt y.
-5472*y
Let v be (1 - 2) + 3 + (-6)/(-1). Find the second derivative of -4*c + c - v*c**2 - 2*c wrt c.
-16
Let m(s) = -6*s**3 + 97*s**2 + 6*s - 4. Let v(i) = -17*i**3 + 290*i**2 + 16*i - 12. Let a(x) = -11*m(x) + 4*v(x). Find the second derivative of a(f) wrt f.
-12*f + 186
Let w(i) be the second derivative of -5*i**6/3 + 65*i**4/6 - 23*i. Find the third derivative of w(j) wrt j.
-1200*j
Let l(z) be the third derivative of -z**7/210 + 2*z**6/15 - 31*z**5/10 + 3*z**2 - 34*z. What is the third derivative of l(g) wrt g?
-24*g + 96
Let m = -12 - -16. Let b(q) = q + 3. Let x be b(-3). What is the third derivative of x*r**2 + r**4 - 4*r**2 - 9*r**m wrt r?
-192*r
What is the derivative of 147 + 17*t + 10*t + 8*t + 2*t**4 + 2*t + 43*t wrt t?
8*t**3 + 80
Let c(v) be the third derivative of v**7/210 - v**6/60 + 6*v**5/5 + 2*v**2 - 32*v. Find the third derivative of c(p) wrt p.
24*p - 12
Let v be -1 - -3 - (0 + 0). Let o(q) = q**2 - 8*q + 2. Let m be o(8). What is the third derivative of -8*a**2 - 14*a**3 + 18*a**v + 4*a**m wrt a?
-84
Let x(g) be the first derivative of -3*g**7/7 + 3*g**4/4 + g**3/3 - 55*g**2/2 + 126. What is the third derivative of x(h) wrt h?
-360*h**3 + 18
Let l = 28 - 23. Suppose l*c - c = 84. What is the second derivative of -r**4 + 6*r - c*r**5 + 12*r**5 + r**4 wrt r?
-180*r**3
What is the second derivative of -5*f**4 + 5*f**4 + 11342*f**5 + 0*f - 11153*f**5 + 86 - f wrt f?
3780*f**3
Find the third derivative of -y**4 - 380*y**2 + 4*y - 170*y**4 - 340*y**4 - 4*y wrt y.
-12264*y
Suppose 2*s - 2*a = -a + 13, -5*s + 3*a + 34 = 0. Differentiate -6*f**3 - s + 0 + 25*f**3 wrt f.
57*f**2
Suppose 0 = -5*g + 5 + 5. Find the third derivative of 2*j**2 + 0*j**2 - j**2 + 2*j**g - 13*j**3 wrt j.
-78
Let v(y) = 5*y - 34. Let w be v(7). Let q(k) = -k - 4. Let p be q(-7). What is the second derivative of -n**p - 3*n + w - n**3 - 1 wrt n?
-12*n
Suppose 0 = 2*o - 7*o + 140. Let u be o/(-42) - (-34)/6. Find the third derivative of -3*i**6 + 6*i**2 + 15*i**u - 15*i**5 wrt i.
-360*i**3
Let p(k) be the first derivative of -k**4/4 - 5*k**3/3 - k**2/2 - 3*k + 9. Let t be p(-5). What is the third derivative of -m**4 + 175*m - 175*m + 2*m**t wrt m?
-24*m
Let d(i) = -32*i**5 - i**3 + 147*i**2 - 6. Let u(w) = -65*w**5 - 2*w**3 + 293*w**2 - 11. Let g(c) = 11*d(c) - 6*u(c). Find the third derivative of g(n) wrt n.
2280*n**2 + 6
Let j(w) = 645*w**2 + 198*w - 8. Let t(g) = 214*g**2 + 66*g - 3. Let d(l) = -3*j(l) + 8*t(l). Find the second derivative of d(k) wrt k.
-446
Let v(i) be the second derivative of i**5/20 + i**4/12 - i**3/3 - 2*i. Let f be v(-2). Differentiate 5 - 3 + f*o**4 - 2*o**4 wrt o.
-8*o**3
Let f(v) = -411*v**3 + 8*v**2 + 187. Let h(o) = -137*o**3 + 3*o**2 + 62. Let k(u) = 3*f(u) - 8*h(u). Differentiate k(b) wrt b.
-411*b**2
Suppose 3*q - 74 = 2*a, 5*a - a = -2*q + 44. What is the second derivative of -q*x**4 + 24*x**4 + 8*x**5 - 11*x wrt x?
160*x**3
Let i(y) = -2*y**4 - 6*y**3 - y**2 - 56*y. Let j(r) = -r**4 - 5*r**3 - r**2 - 57*r. Let u(b) = 3*i(b) - 4*j(b). What is the third derivative of u(c) wrt c?
-48*c + 12
Suppose -4*a = j - 3*j, -6 = -3*a. Suppose -2*x - 6 + 0 = j*p, p - 3 = -2*x. What is the second derivative of -4*f**3 + f**x + 2*f + 0*f wrt f?
-18*f
What is the third derivative of -15*j**3 + 121*j**3 + 189*j**2 - 87*j**2 wrt j?
636
Let d(l) be the first derivative of -l**3/3 - l**2 + 4*l + 6. Let g be d(0). What is the derivative of -g - 5 + 235*n - 233*n wrt n?
2
Let n(h) be the second derivative of 0 - 1/10*h**5 - 8*h + 0*h**2 + 13/6*h**3 + 0*h**4. Find the second derivative of n(g) wrt g.
-12*g
Let z(y) be the second derivative of 2*y**4/3 - y**3/6 - 8*y**2 + y + 22. What is the second derivative of z(u) wrt u?
16
Find the second derivative of -142*c - 1 + 91*c - c**2 - 98*c**2 wrt c.
-198
Let i be -2 + (2 + -1 - -2). Let y be (85/68)/(i/4). What is the third derivative of 2*s**3 - y*s**2 + 5*s - 5*s wrt s?
12
Let p(c) be the second derivative of c**4/4 + 35*c**3/6 + 223*c**2/2 + 14*c + 1. What is the derivative of p(v) wrt v?
6*v + 35
Suppose 0*h + 3*h = 18. Find the third derivative of -81*d**2 + 90*d**2 + 7*d**h - d**6 wrt d.
720*d**3
Let w(v) be the second derivative of 7/6*v**3 + 7*v + 0 + 7/2*v**2. What is the derivative of w(s) wrt s?
7
Find the third derivative of -s**4 + s**3 - 2*s**4 - 20534 + 20534 + 31*s**2 wrt s.
-72*s + 6
Let i be -11 - (6 - (11 - -9)). Let a(q) be the third derivative of i*q**2 + 0*q**3 - 1/3*q**4 + 1/6*q**5 + 0*q + 0. Find the second derivative of a(f) wrt f.
20
What is the first derivative of 235 - 44 + 70*k**2 - 18*k + 14 + 18*k wrt k?
140*k
Let q(j) = -2*j**2 - 13*j + 12. Let v be q(-7). What is the third derivative of -6*g**v - 10*g**5 + 7*g**2 - g**2 wrt g?
-960*g**2
Find the second derivative of 31*s**2 + 7*s**2 + 30*s**2 - 7*s**2 - 28*s wrt s.
122
Let p(t) be the first derivative of t**6/30 - 13*t**4/24 - 2*t**3 - 2. Let x(i) be the third derivative of p(i). What is the derivative of x(w) wrt w?
24*w
Let z(a) be the first derivative of -74*a**7/7 - 13*a**3/3 - 5*a**2/2 - 73. What is the third derivative of z(u) wrt u?
-8880*u**3
What is the second derivative of -17*x - 152*x**2 - 136*x + 8 - 8 wrt x?
-304
Let l(b) = -b**3 - 27. Let d(r) = 7. Let q(t) = t**3 - 3*t**2 - 3*t. Let o be q(3). Let j(k) = o*d(k) - 2*l(k). Differentiate j(z) wrt z.
6*z**2
Let i(s) be the second derivative of 0*s**3 - 29/12*s**4 - 19*s - 15/2*s**2 + 0. Differentiate i(g) wrt g.
-58*g
Let a = -41 + 43. Find the third derivative of -20*g**2 + 4*g**a - 3*g**4 - 6*g**4 wrt g.
-216*g
Find the first derivative of -130698*r**2 + 130698*r**2 + 163*r**4 - 199 wrt r.
652*r**3
What is the derivative of 7*o**2 + 554*o**4 - 644*o**4 + 103 - 7*o**2 wrt o?
-360*o**3
Let d = -93 - -133. Let w(t) = -1. Let n(z) = -5*z**2 - 3*z
|
{
"pile_set_name": "DM Mathematics"
}
|
z) = 7*z**2 - 6*z. Let m(v) = -6*v**2 + 4*v. Let q(b) = w*m(b) + 2*u(b). Calculate q(n(f)).
-1156*f**4
Let x(q) be the first derivative of q**2/2 + 2. Let n(s) = -3*s**2 + 825*s - 825*s - s**2. Give n(x(z)).
-4*z**2
Let w(n) = -552551*n. Let c(j) = -2*j. Give c(w(v)).
1105102*v
Let j = 38 - 31. Let x(d) = 169*d**2 + j - 7 - 167*d**2. Let t(l) be the second derivative of -l**3/6 - l. Determine t(x(m)).
-2*m**2
Let h(q) = 43*q**2 + 13*q - 5. Let d(j) = -j. Determine d(h(n)).
-43*n**2 - 13*n + 5
Let t(p) = 5 + 52*p + 0 - 12 + 3 + 2. Let o(k) = 3*k. Give o(t(s)).
156*s - 6
Let r(l) be the third derivative of -11*l**5/60 - l**2. Let x(v) = 5*v - 951 - 965 + 1916. Determine r(x(d)).
-275*d**2
Let b(u) = 2*u**2 + 653*u. Let d(k) = -518*k. Give d(b(w)).
-1036*w**2 - 338254*w
Let l(a) = -107980*a. Let o(g) = 2*g. Determine l(o(b)).
-215960*b
Let n = -407 - -413. Let m(y) be the third derivative of 0*y - n*y**2 + 0 - 1/30*y**5 + 0*y**3 + 0*y**4. Let g(w) = -4*w. Give g(m(k)).
8*k**2
Let m(z) = 12*z**2. Let o(t) = 14 + 4*t + 19 - 18*t - 33. What is m(o(j))?
2352*j**2
Let d(l) = 20*l**2 + 788*l. Let y(f) = -f. Calculate d(y(g)).
20*g**2 - 788*g
Let c(p) = p. Let f(g) = -20*g + 63*g + 18*g. Calculate f(c(r)).
61*r
Let m(c) = 3*c. Let r(l) be the third derivative of l**6/360 + l**4/3 - 17*l**2. Let z(n) be the second derivative of r(n). Determine z(m(g)).
6*g
Let h(o) = 82*o - 1. Let i(c) = c - 19. Determine i(h(f)).
82*f - 20
Let r(h) = 3*h. Let f(q) = 24*q**2 - 89*q**2 + 11*q**2 + 20*q**2. Give r(f(d)).
-102*d**2
Let z(w) be the third derivative of 0 + 0*w**4 + 0*w**3 + 0*w + 1/30*w**5 - 10*w**2. Let x(n) = 17*n**2. Give z(x(j)).
578*j**4
Let w(m) = 26*m. Let y(f) = -8*f. Let s(h) = -h. Let r(z) = 4*s(z) - y(z). Calculate w(r(u)).
104*u
Let a(h) = 8*h. Let c(k) = 2*k**2 - 15*k - 12. Let f(x) = 5*x**2 - 35*x - 23. Let i(d) = 7*c(d) - 3*f(d). Calculate i(a(l)).
-64*l**2 - 15
Let u(x) = -3*x**2. Let j(d) = -2*d**2 + 7*d - 3. Let g be j(3). Let q(z) be the second derivative of g - 1/12*z**4 + 0*z**2 - 4*z + 0*z**3. Calculate u(q(m)).
-3*m**4
Let x(j) = 22*j. Let g(w) = -200*w**2. Give g(x(m)).
-96800*m**2
Let d(a) = 6*a. Let c(w) = -w**2 - 1. Suppose -12 + 20 = 4*i. Let f(x) = -9*x**2 - 7. Let h(o) = i*f(o) - 14*c(o). Determine d(h(y)).
-24*y**2
Let i(b) = 215860*b**2. Let k(o) = 2*o. Determine i(k(w)).
863440*w**2
Let f(i) be the third derivative of 0*i + 0*i**4 + 0*i**3 + 14*i**2 + 0 + 1/15*i**5. Let l(w) = 4*w. What is f(l(z))?
64*z**2
Let o(p) = 144459*p**2. Let d(q) = 3*q. Give o(d(h)).
1300131*h**2
Let u(y) = 2*y**2. Let n(z) = 6*z + 5. Let k(l) = 3 + 57*l - 66*l - 11. Let a(c) = 5*k(c) + 8*n(c). Determine a(u(d)).
6*d**2
Let z(c) = -32*c**2 - 30*c + 3. Let p(s) = -4*s. What is z(p(h))?
-512*h**2 + 120*h + 3
Let i(f) = 3*f. Let t(d) = 5*d**2 - 6. Let j(q) = -4*q**2 + 5. Suppose 3*v = 4*v + 5. Let p(z) = v*t(z) - 6*j(z). Give i(p(h)).
-3*h**2
Let z(w) = 4*w**2. Let n be ((-3)/9)/((-4)/48). Suppose -v + 3*v = n. Let x(m) = -3*m**2 - 7*m**v + 6*m**2. Calculate z(x(f)).
64*f**4
Let c(f) be the third derivative of -f**6/240 + 29*f**4/24 - 5*f**2. Let g(u) be the second derivative of c(u). Let q(j) = 0*j + 4*j - 2*j. Determine g(q(k)).
-6*k
Let p(t) be the third derivative of t**4/24 + t**2. Let c(s) be the first derivative of 7*s**3/3 + 316. What is p(c(i))?
7*i**2
Let w(n) = 5*n. Let m(p) be the second derivative of -29*p**4/12 + 4*p - 3. Give m(w(q)).
-725*q**2
Let a(o) = 3*o**2 - 8*o. Let f(h) = h. Let k(d) = 3*a(d) + 24*f(d). Let v(z) = z - z + 6*z - 3*z. Calculate k(v(q)).
81*q**2
Let d(s) = s + 19. Let f be d(-12). Let q(c) = 7*c - f*c - c. Let a(n) be the second derivative of -5*n**3/3 + 2*n. Determine q(a(h)).
10*h
Suppose 10*d + 22*d = 64. Let p(g) be the third derivative of 1/60*g**5 + 0*g**3 + 0*g + 0 + 3*g**d + 0*g**4. Let v(u) = 5*u**2. Determine p(v(h)).
25*h**4
Let b(f) = f**2. Let w be (1 - 3)/(22/(-77)) + -7. Let m(i) be the third derivative of 13*i**2 + 0*i**4 + 0*i**3 + 0*i + w - 1/20*i**5. Calculate m(b(n)).
-3*n**4
Let t(k) = -21*k**2. Let z(w) be the third derivative of -5*w**4/8 + 2*w**2 + 133. What is z(t(p))?
315*p**2
Let u(j) = -5*j. Let t(m) be the first derivative of -m**5/30 - 3*m**2/2 + 17. Let a(o) be the second derivative of t(o). Determine u(a(v)).
10*v**2
Suppose 5*j = -2*n + 28, 3*j + 12 = 2*n - 0*j. Let f(r) be the first derivative of -11/2*r**2 + n + 0*r. Let t(u) = 2*u**2. Calculate f(t(m)).
-22*m**2
Let v(n) = -2*n**2. Let s = 8 - 0. Suppose 0 - s = -4*y. Let a(f) = 0*f + 21*f**y - 3*f + 3*f. What is v(a(o))?
-882*o**4
Let t(b) = -4*b**2. Let s(n) = 39*n + 12. Let i(z) = -352*z - 110. Let d(j) = 6*i(j) + 55*s(j). Calculate t(d(q)).
-4356*q**2
Let w(k) = k**2. Let g(m) = 72*m - 15. Let q(l) = -74*l + 18. Let u(v) = 5*g(v) + 4*q(v). Determine u(w(d)).
64*d**2 - 3
Let l(v) = v**2. Let y(g) = -g + 172 - 172. Let m(s) = -2*s. Let c(i) = -m(i) - 6*y(i). Determine c(l(w)).
8*w**2
Let w(k) = -2*k**2. Let r(i) be the first derivative of 32*i**2 + 120. What is w(r(h))?
-8192*h**2
Let a(q) = 4*q + 7. Let l(t) = 148*t**2 - 2*t. Give l(a(v)).
2368*v**2 + 8280*v + 7238
Suppose -b = 4*i - 15, 5*i + 0*i - 5 = -4*b. Let y(m) = 43*m - 5. Let h(p) = -22*p + 3. Let v(c) = i*h(c) + 3*y(c). Let f(w) = -3*w. Determine f(v(x)).
-57*x
Let l(g) = 3*g**2. Let m(w) be the third derivative of 3*w**5/4 + 32*w**2. What is m(l(q))?
405*q**4
Let p(z) be the first derivative of z**5/20 + 7*z**2/2 + 8. Let c(n) be the second derivative of p(n). Let g(u) = -5*u**2. Calculate c(g(s)).
75*s**4
Let c(r) = -9*r + 177. Let a(o) = 2*o. Determine c(a(f)).
-18*f + 177
Let s(l) = 101*l**2. Let b(y) = 408*y. What is b(s(d))?
41208*d**2
Let f(l) be the third derivative of l**6/48 + 3*l**4/8 + 3*l**2. Let h(i) be the second derivative of f(i). Let r(j) = 3*j. What is h(r(s))?
45*s
Let o(y) = y + 4 - 4. Let t(k) be the second derivative of k**4/2 + 10*k. Determine o(t(r)).
6*r**2
Let s(b) be the first derivative of -11*b**5/30 - 17*b**2/2 + 17. Let k(l) be the second derivative of s(l). Let f(x) = -x**2. Calculate k(f(z)).
-22*z**4
Let f(s) be the second derivative of -s**4/3 - 4*s. Let p(l) = 18*l - 15. Let k(r) = r - 1. Let d(w) = 15*k(w) - p(w). Give d(f(h)).
12*h**2
Let f(o) be the second derivative of 5*o**3/6 + 5*o + 52. Let c(p) = 74*p. Give c(f(s)).
370*s
Let f be 1/(-3) - (-3362)/6. Suppose 4*i - f = 44. Let v(l) = -i + 151 + 4*l. Let r(k) = 3*k. What is v(r(c))?
12*c
Let d(b) be the second derivative of b**4/12 + 3*b + 13. Let x(c) = -22*c**2. Give d(x(s)).
484*s**4
Let x(y) = -13*y**2. Let d(v) be the third derivative of -v**5/30 - v**2 + 65*v. Give d(x(f)).
-338*f**4
Let c(a) = 2*a - 75. Let k(r) = -7*r + 9. Determine c(k(n)).
-14*n - 57
Let b(y) = y. Let v(t) = 212*t**2 - t - 10. What is b(v(i))?
212*i**2 - i - 10
Let s(p) = -6*p - 2315. Let u(l) = 12*l**2. Calculate u(s(c)).
432*c**2 + 333360*c + 64310700
Let n(v) be the second derivative of -211*v**3/6 - 173*v. Let f(r) = -4*r**2. Give n(f(t)).
844*t**2
Let g(f) = -2*f. Let a(t) be the first derivative of -8/3*t**3 + 10 + 0*t + 0*t**2. Calculate a(g(l)).
-32*l**2
Let y(f) = 84*f**2 - 2. Let o(s) = -243*s + 99. Let g(v) = -15*v + 6. Let i(w) = 33*g(w) - 2*o(w). What is i(y(u))?
-756*u**2 + 18
Let l(d) = 4*d**2 + 4*d. Let n(s) = -17*s**2 + 13*s - 13. Let r(g) = 8*g**2 + 42*g - 26*g - 22*g + 6. Let z(i) = -6*n(i) - 13*r(i). Give l(z(f)).
16*f**4 - 8*f**2
Let x(u) = 2*u**2. Let w(p) be the first derivative of -14*p**2 + 57. Give w(x(g)).
-56*g**2
Let z(o) = 11*o. Let k(d) = -2*d**2 + 261*d - 261*d. Calculate z(k(r)).
-22*r**2
Let k(n) = n**2. Let r(s) = -70234*s**2. Give r(k(o)).
-70234*o**4
Let u(d) be the third derivative of d**4/12 + 5*d**3/2 + 2*d**2 - 10. Let g(z) = -z. Determine g(u(v)).
-2*v - 15
Let k(y) = 397*y + 107*y + 112*y. Let o(a) = 2*a. What is o(k(j))?
1232*j
Suppose -2*d + 22 - 18 = 0. Let n(t) = -12*t + 3*t - d*t. Let c(h) = -h. Give n(c(v)).
11*v
Let z(c) be the third derivative of -c**5/60 + 5*c**2. Let k(r) = -20*r + 54*r - 18*r. Determine k(z(x)).
-16*x**2
Let w(c) = -14*c + 2. Let k(t) = 0*t**2 + 0*t**2 + t**2. Determine w(k(g)).
-14*g**2 + 2
Let c(m) = -m. Let i(d) = d. Let o(k) = 2*k**2 + 11*k - 9. Let t be o(-7). Let l = 13 - t. Let y(q) = l*i(q) - c(q). Let u(v) = -8*v**2. C
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{
"pile_set_name": "DM Mathematics"
}
|
Is -404932*(-15 + (-118)/(-8)) composite?
True
Let h = -226772 + 622773. Is h a prime number?
True
Let r(m) = 24*m**3 - m**2 + m. Let d be r(1). Suppose 31*a + d = 25*a. Is (((-16)/(-12))/a)/((-5)/4485) prime?
False
Let q(p) = 3*p**3 - 3*p**2 + 4*p - 7. Let t(k) = 18*k - 2. Let s be t(2). Let m be (8/(-6))/(s/(-153)). Is q(m) a composite number?
False
Let j(o) = 117 + 19*o**2 + 25*o - 16 - o**3 - 52. Let l be j(20). Suppose -5*r - 298 = k - 3*k, k = 5*r + l. Is k a prime number?
True
Let b = -54 - -71. Suppose 11633 - 85192 = -b*a. Is a composite?
False
Let k be (-285)/57*2/10. Suppose -3*f + 3*m = 9, 0*f + 3*f + 4*m = -23. Is 1084/5 + k/f a prime number?
False
Suppose 8 = -15*c + 38. Let w be (3504/20)/(9/60). Suppose c*o - 4*b - 939 - 1407 = 0, o = -3*b + w. Is o prime?
True
Let s be 4/10 + ((-227259)/(-15) - -5). Suppose 13*q = 9*q - s. Is 6/(-5)*(q/6 + 4) a prime number?
False
Suppose -96*o - 16510 = -31*o. Let a be 104/(-20) + 2/10. Is a/(-10)*o/(1 - 2) prime?
True
Let s(n) = -13483*n**2 - 12*n + 8. Let v be s(2). Let y = -28693 - v. Is y a composite number?
True
Let j(w) = -w**2 + 6*w - 5. Suppose -5*v + 4*v = -6. Let x be j(v). Let k = 82 - x. Is k a prime number?
False
Suppose -826874 = -17*n + 7864553 + 13317606. Is n a composite number?
False
Let n = 15 - 12. Let d be (-4)/(n/(2 - 5)). Suppose 4 = 2*v, -d*v + 2511 = 2*g - g. Is g a prime number?
True
Let d(f) = 124852*f - 1575. Is d(4) a prime number?
False
Let q = 92618 - -202931. Is q a composite number?
True
Suppose -2*z - 1416917 = -5*t, 2*t + 3801*z - 566768 = 3802*z. Is t a prime number?
False
Is 11832/(-1160)*(-267620)/12 a prime number?
False
Let b be (-10)/4*(-30)/3. Let v(c) = -c**3 - 15*c**2 - 9*c + 73. Let w be v(-14). Suppose -4*i = -9*i + b, -w*d + i + 352 = 0. Is d prime?
False
Let q(r) = 13*r**2 + 55*r + 16. Let u(a) = a**2 + 8*a - 51. Let j be u(-13). Is q(j) a prime number?
False
Let y = 133 - 144. Let h = -9 + -14. Is (y - -10)*h*5 a prime number?
False
Let j = 295 - 180. Let v = j + -21. Is v a composite number?
True
Let w be -1*1002/(-1)*7. Let y = w - 4498. Suppose 5*v = 4*b - 2493, -4*v + y = 4*b + 32. Is b prime?
False
Suppose z + 19*y + 18 = 20*y, 5*z + 96 = 3*y. Let s(b) = 126*b**2 - 13*b - 46. Is s(z) a prime number?
True
Let k = 6 + -2. Suppose -b = 2*x - 60 - 196, k*b + 5*x = 1024. Suppose -153 = -d + b. Is d a composite number?
False
Let g(m) = m**2 - 22*m - 112. Let p be g(26). Is (-27687)/6*(-10 - p) a composite number?
True
Suppose -5*w + w = -2*m, -4*w = 20. Is (8836/m)/((-14)/35) composite?
True
Suppose 0 = 117*p - 122*p. Suppose 12*n - 39199 - 18965 = p. Is n prime?
False
Suppose 3223*y = 3218*y + 314695. Is y a prime number?
True
Let o = -75347 + 137166. Is o composite?
False
Suppose 15*m = 166 + 164. Suppose -m*d = -27*d + 1835. Suppose -t - d = -1034. Is t composite?
True
Let r be 626/2 + (4 - 1). Let t = 5416 - 3631. Suppose 1176 = 4*n + s, -5*n + t - r = s. Is n a composite number?
False
Let t(m) = m + 10. Let p be t(-6). Let h = 5735 - 2439. Suppose 0 = 3*v + p*c - 2379, 5*v - 692 = c + h. Is v a prime number?
True
Let l(q) = 43*q - 106. Let h(r) = -43*r + 109. Let a(i) = 4*h(i) + 5*l(i). Is a(9) prime?
True
Suppose 3*h - 431 = -209. Suppose h + 1875 = o. Is o a prime number?
True
Suppose -4822417 = -133*b + 14568850. Is b a prime number?
True
Let r = 3063131 - 1983688. Is r a prime number?
False
Is (-2)/4 - (-7014267)/24*100/75 a composite number?
True
Let o(w) = 1965*w + 14. Let y(r) = -1960*r - 15. Let i(c) = 6*o(c) + 5*y(c). Is i(2) prime?
True
Suppose 5*n + 3*z - 53 = 0, n - 6 = 2*z + 2*z. Suppose -5 = -n*t + 25. Suppose 5213 = t*p - 4*i, -2*p + i = 5*i - 3462. Is p composite?
True
Suppose -b + 14760 = 4*x - 26704, -2*x - 5*b + 20714 = 0. Is x a prime number?
False
Suppose -7*q - q = -35*q + 4303341. Is q a prime number?
False
Suppose 2*z = 2 - 14. Let o = 10 + z. Suppose -2*r + w + 1097 = o*w, -5*r - 5*w = -2730. Is r prime?
True
Let j(s) = 14660*s + 2897. Is j(23) a composite number?
True
Let o be (-68784)/(-20) - (-6)/(-5). Let u = 5900 - o. Is u prime?
False
Let v(q) = -79554*q - 10289. Is v(-25) a composite number?
True
Let r(a) = 1616*a - 63. Let o be r(14). Suppose -5*i - o = -2*w - 4*i, 4*i = -2*w + 22536. Is w composite?
True
Let r = -536 - 1339. Let i = 3449 + r. Is i prime?
False
Suppose 0 = 11*r - 9*r - 6. Suppose -4256 - 9195 = -4*u + r*p, 4*u = -4*p + 13472. Is u composite?
True
Let x(o) = 5 - 4*o + 2*o**2 + 12*o - 3*o**2 + o. Let d be x(9). Suppose z - 5 = 0, -6*p = -7*p - d*z + 566. Is p prime?
True
Suppose 89*w + 4*q = 94*w - 1156819, -w = -3*q - 231377. Is w a prime number?
True
Let n be 6 + (-4 - -6 - -1). Let z(q) = 3268*q**2 - 7. Let c(p) = -6536*p**2 - p + 15. Let j(k) = n*z(k) + 4*c(k). Is j(-1) a prime number?
False
Let v = -23 + -56. Let h = 83 + v. Suppose 2*r = 3*x - 202 + 2561, -h*x + 3581 = 3*r. Is r prime?
True
Let w(k) = -136*k + 9. Let j be (1/3)/(5/45). Suppose j*f - 1 = -13. Is w(f) a composite number?
True
Is (-1 + 18 + -19)*(-1361)/2 a prime number?
True
Suppose 284806 = 12*o - 889186 + 302564. Is o composite?
True
Suppose -3*o = -c - 95059, 758*c - 2 = 757*c. Is o a composite number?
False
Suppose 18*j = 730701 + 328257. Is j composite?
False
Let g = -42 + 7. Let k = 29 + g. Is (-2 + -111)*k - 1 composite?
False
Let y(s) = 40*s**2 - 3*s - 38. Let u be y(16). Suppose 2*n - 5*h - u = 0, 3*n + 6*h = 5*h + 15265. Is n prime?
True
Is (3/(-12))/(16/(-20074432)*7) a prime number?
True
Is 6/(-5) + (37513 - -1)*1075/250 prime?
True
Let y be 7 - (12 - 4) - (0 - 8). Suppose 4316 = 2*i + q, 12*i - 5*q - 10805 = y*i. Is i prime?
False
Suppose 5*o = 5*h - 167 - 8, -3*o + 27 = h. Let s = 53 - h. Is (s + -1)/(((-15)/5)/(-3)) a composite number?
False
Let u(n) = 712*n + 111. Is u(7) composite?
True
Suppose 4*o - 33 - 19 = 0. Suppose d - o*d - 3264 = 0. Let s = 125 - d. Is s composite?
False
Suppose -2*y = -46 + 22. Let j be ((-12)/10)/(y/(-390)). Is ((-6)/(-4))/(j/29926) a prime number?
True
Let m(p) = 369*p**2 - 19*p - 456. Is m(26) prime?
False
Let m = -85151 + 177913. Is m prime?
False
Is (-221)/3315 + 20048268/45 prime?
False
Suppose 27320 = 11*x - x. Suppose -4103 = -3*b - 4*q, -4*b + 2*b - 2*q + x = 0. Is b a prime number?
True
Is (149/(-4))/(11*16/(-1408)) a composite number?
True
Suppose h + 12 - 17 = 0. Let w be 2960 - (-6)/(h + -2). Let r = -1275 + w. Is r composite?
True
Suppose 0 = -2*s - 3*d - 1814 - 1101, -5*d - 5 = 0. Let z = -765 - s. Is z a composite number?
False
Let r(h) = 11145*h + 5252. Is r(43) a prime number?
True
Let q(s) = -6*s**3 + 45371. Is q(0) a prime number?
False
Let s(c) = 631*c + 154. Let t be s(11). Let v = 6196 + t. Is v a prime number?
True
Suppose -73*h = 118*h - 439833177 + 179899558. Is h a prime number?
False
Let z = 23416 - -182522. Suppose 7*p + z - 73414 = 0. Is (-11)/33 - p/6 composite?
True
Suppose -2632*p = -2635*p + 134817. Is p composite?
False
Let m(a) = -2*a + 6. Let q be m(3). Suppose q = 2*v - 4*v + 18. Suppose -5*g = -v*g + 1316. Is g composite?
True
Let g = 35258 - 1711. Is g prime?
True
Let j(a) = -15*a**3 + 14*a**2 + 8*a - 30. Is j(-11) composite?
True
Suppose -22 = 5*d - 2*p + p, -26 = 4*d - 5*p. Let w(l) = 111*l**2 + 6*l + 5. Is w(d) prime?
False
Let r = -229 - -227. Is r/((-17600)/(-80982) - 2/9) prime?
True
Let v be (-1)/(-6) - (-810416)/96. Suppose 4*f - v = 2*f + 5*x, -f = 2*x - 4203. Is f composite?
False
Is 0 + -12 + 196883 + -16 a prime number?
False
Let v(j) = 2*j**3 - j**2 - 8*j + 9. Let i be v(2). Suppose 0 = 5*q - 4*z - 1103, -684 = -i*q + 2*q - 5*z. Is q a composite number?
False
Let w(y) = -50580*y**3 + 49*y**2 + 114*y + 2. Is w(-3) composite?
False
Let j(u) = 20*u - 1. Let m be j(1). Let y = m - 22. Is y/18*3*-94 composite?
False
Suppose -2*z - 12717 = -5*j, -5*j + 0*z + 12705 = -5*z. Is j + (-5 + 4 - 3)/2 a prime number?
True
Let c = 104 - 658. Let v = 807 - c. Is v composite?
False
Let o = 349290 + -224371. Is o prime?
True
Let m(p) = 2*p**2 + 9*p - 1. Let w be m(-5). Let v be (2159/68)/((-1)/w). Is v*((-27)/6 + 3/2) a prime number?
False
Suppose 22 = 2*f - 0*f. Suppose -7*m = -f*m + 1796. Is m prime?
True
Suppose -5*w = w + 582. Let r = -96 - w. Is r/((-2)/10 - 1584/(-7620)) a composite number?
False
Suppose -v - 15 = -4*v. Suppose -26 + 4
|
{
"pile_set_name": "DM Mathematics"
}
|
Collect the terms in -16*n**2 + 252913 - 252911 - 4*n**2.
-20*n**2 + 2
Collect the terms in 1969*g**3 - 1212683*g + 1212683*g + 47*g**3.
2016*g**3
Collect the terms in -459234165*y + 459234165*y + 3*y**2 - 779.
3*y**2 - 779
Collect the terms in 875*o + 40*o - 18*o**2 + 17*o**2.
-o**2 + 915*o
Collect the terms in -41749531 - 2*g + 20874766 + 20874765.
-2*g
Collect the terms in -2212019*g**2 - 2212121*g**2 + 2 - 2212008*g**2 + 6636363*g**2.
215*g**2 + 2
Collect the terms in -4776631*o - 19*o**2 + 1592208*o + 1592209*o + 1592214*o.
-19*o**2
Collect the terms in -372*d**2 - 1526*d**2 - 3*d - 3*d + 1902*d**2.
4*d**2 - 6*d
Collect the terms in -66*j + 18*j + 136*j + 82*j.
170*j
Collect the terms in -3471*d + 12061 + 608*d - 12061 - 612*d.
-3475*d
Collect the terms in -7*w**2 + 9357 - 3516 + 9*w**2 + 5*w**2.
7*w**2 + 5841
Collect the terms in 8131*u + 3283*u + 6385*u + 3251*u.
21050*u
Collect the terms in -1632 - 154724*m**2 + 154694*m**2 + 3262 - 1630.
-30*m**2
Collect the terms in 4102*o**2 + 2514*o**2 - 9098*o**2 + 2480*o**2.
-2*o**2
Collect the terms in 826013*k - 538893*k + 4796618*k + 1909860*k.
6993598*k
Collect the terms in 18226*x + 18564*x + 19676*x + 19594*x - 78933*x.
-2873*x
Collect the terms in 94 + 565*r + 571*r - 250*r**2 - 1134*r - 94.
-250*r**2 + 2*r
Collect the terms in -944*s - 1187*s + 97*s - 88*s - 25*s.
-2147*s
Collect the terms in 9 - 43664*c**3 + 43673*c**3 - 35 + 26.
9*c**3
Collect the terms in 2*t**3 + 2515995573*t**2 - 2515995573*t**2.
2*t**3
Collect the terms in -2278 - 22*m - 2127 + 6577 - 2172.
-22*m
Collect the terms in -2*n**2 - 16*n - 10*n + 173 - 14*n + 40*n.
-2*n**2 + 173
Collect the terms in -1873*a - 1907*a - a**2 + 5656*a - 1876*a + a**2 + 7*a**3.
7*a**3
Collect the terms in 69*v + v + 9*v - 310 - 68*v + 310.
11*v
Collect the terms in 34*n**3 + 45*n**2 + 49*n**3 - 48*n**2.
83*n**3 - 3*n**2
Collect the terms in -3 + 22*j + 3 + 4 - 20*j - 17*j - 154*j**2.
-154*j**2 - 15*j + 4
Collect the terms in 32 + 4*k**2 - 8 - 23 + 10*k**3 + 342*k**2.
10*k**3 + 346*k**2 + 1
Collect the terms in -4680617 - 3*v**2 + 4680617.
-3*v**2
Collect the terms in -39744891*u + 187 - 187.
-39744891*u
Collect the terms in 8*b**3 + 10*b**3 + 712*b - 1419*b + 44 + 710*b.
18*b**3 + 3*b + 44
Collect the terms in -3*w + 2*w - 751 + 1827 - w.
-2*w + 1076
Collect the terms in -325292822 - 3*r**3 + 325292822.
-3*r**3
Collect the terms in 0*h**2 - 216053 + 0*h**2 + h**2 - 2*h**3 + 11767 + 3948.
-2*h**3 + h**2 - 200338
Collect the terms in 63467*p + 68110*p - 31339*p + 633*p.
100871*p
Collect the terms in -55*h + 225*h - 89*h + 5 - 92*h - 5.
-11*h
Collect the terms in 1637 + 133*b**2 + 1635 + 1633 - 4905.
133*b**2
Collect the terms in 146 + 188 + 33 - o.
-o + 367
Collect the terms in 7321*z**3 + 54*z - 30*z - 7258*z**3 - 24*z.
63*z**3
Collect the terms in -7316*u**2 - 2744*u**2 + 1550*u**2.
-8510*u**2
Collect the terms in -122*q + 711*q - 28*q - q**2.
-q**2 + 561*q
Collect the terms in 160*x**2 - x**3 + 3*x + 244*x**2 - 2*x**3 + 5 + 1 - 39*x**2.
-3*x**3 + 365*x**2 + 3*x + 6
Collect the terms in 11905*u**3 - 22427*u**3 - 15449*u**3.
-25971*u**3
Collect the terms in 31*s**3 + 22*s**2 - 56*s**3 - 1710*s + 24*s**3.
-s**3 + 22*s**2 - 1710*s
Collect the terms in 1590397*j + 433*j**2 - 795197*j - 795196*j.
433*j**2 + 4*j
Collect the terms in 4*y - 4683*y**3 + 4725*y**3 - 4*y.
42*y**3
Collect the terms in 523*z - 94*z - 80*z - 51*z - 88*z - 105*z - 77*z.
28*z
Collect the terms in 32698*y + 4797*y + 8572*y.
46067*y
Collect the terms in 11*h - 36462 - 56975 + 93437.
11*h
Collect the terms in -56578*q + 56578*q - 9080*q**2.
-9080*q**2
Collect the terms in -4 - 429*d + 279*d - 239*d**3 + 4.
-239*d**3 - 150*d
Collect the terms in -32*q - q**2 - 11 - 268*q - 2 - 8 + 21.
-q**2 - 300*q
Collect the terms in -5010*r + 15159*r - 5098*r - 5032*r.
19*r
Collect the terms in 51809*v - 2*v**3 - 103475*v + 51666*v.
-2*v**3
Collect the terms in 33*x**2 + 15*x**2 - 50*x**2 - 205*x**3 - 84*x**3.
-289*x**3 - 2*x**2
Collect the terms in p**3 + 8*p**3 + 850 - 847 - 2*p**3 - 8*p**3.
-p**3 + 3
Collect the terms in -77485924373 + 77485924373 + 107*s**2.
107*s**2
Collect the terms in 17675*q**3 + 8104*q**3 - 25752*q**3.
27*q**3
Collect the terms in 1569*l**2 + 282 - 157 - 1570*l**2.
-l**2 + 125
Collect the terms in -171 + 114 - 98 + 4*f**3 - 46*f**3.
-42*f**3 - 155
Collect the terms in -d**2 - 1318*d**3 + 359 - 181 - 176.
-1318*d**3 - d**2 + 2
Collect the terms in -13*t + 571*t + 326*t.
884*t
Collect the terms in -z + 40414 - 20315 - 20284.
-z - 185
Collect the terms in 44*p + 5*p**2 + 15 - 2*p**2 - 59 - 2*p**2.
p**2 + 44*p - 44
Collect the terms in -3 - 11 - 6 + 11 + 0 - 10*a.
-10*a - 9
Collect the terms in -71 + 71 + 1030612*v**2.
1030612*v**2
Collect the terms in -740312*f + 13*f**3 + 0*f**2 - 740315*f + 0*f**2 + 1480627*f.
13*f**3
Collect the terms in -80513*n + 3*n**2 + 3 + 3*n**2 - 5*n**2.
n**2 - 80513*n + 3
Collect the terms in -53917*d**2 + 27010*d**2 - 3*d**3 + 26907*d**2.
-3*d**3
Collect the terms in -p - 3280*p**2 - 6 + 31*p**3 + 4*p + 6 + 3271*p**2.
31*p**3 - 9*p**2 + 3*p
Collect the terms in 5676 - 1145*s + 571*s + 2*s**2 + 574*s.
2*s**2 + 5676
Collect the terms in 5*w - 4344 - 4355 + 8703 + 4*w**3 - 5*w - 18*w**3.
-14*w**3 + 4
Collect the terms in 855*g - 10 + 35 - 6 - 11 - 7.
855*g + 1
Collect the terms in 141 - 1138*k + 1146*k - 144 + 3.
8*k
Collect the terms in -10150944*b**3 + 5075471*b**3 + 5075472*b**3.
-b**3
Collect the terms in -12 - 173*d**3 + 87*d**3 + 27 + 3551*d**3 - 15.
3465*d**3
Collect the terms in -26*j + 23*j - 14*j - 21*j - 10*j + 2.
-48*j + 2
Collect the terms in 370*i**3 - 8733491038 + 8733491038.
370*i**3
Collect the terms in 4342*s**2 - 83386*s + 83386*s - 32805*s**2.
-28463*s**2
Collect the terms in -3*u**3 + 76733603*u**2 - 76733603*u**2.
-3*u**3
Collect the terms in 3 - 13 + 1695*n**2 + 10.
1695*n**2
Collect the terms in -10 - 35*c - 5*c + 13 - 21*c - 4.
-61*c - 1
Collect the terms in -7316573*d + 11*d**2 + 7316573*d.
11*d**2
Collect the terms in -8892 + 2*f**3 - 8856 + 26532 - 8927.
2*f**3 - 143
Collect the terms in -59*y**3 - 495*y + y**2 + 0*y**2 - 14 + 58*y**3.
-y**3 + y**2 - 495*y - 14
Collect the terms in -6 + 6725*n + 131250*n - 6 - 7.
137975*n - 19
Collect the terms in 2350*p - 10153*p + 2676*p - 14900*p - 11818*p.
-31845*p
Collect the terms in -1233*z - 1111*z + 231*z - 137*z.
-2250*z
Collect the terms in 115 + 107 - 14*w - 441 + 114 + 122.
-14*w + 17
Collect the terms in -239436*a**3 - 239455*a**3 + 718323*a**3 - 239442*a**3 + 2*a.
-10*a**3 + 2*a
Collect the terms in -435011*x**3 + 2*x**2 - 387515*x**3 - 2*x**2.
-822526*x**3
Collect the terms in -2389*m + 0*m**2 + 754*m + 0*m**2 + 1635*m - 3*m**3.
-3*m**3
Collect the terms in -2564974*l + 854996*l + 854985*l + 854994*l.
l
Collect the terms in -y**2 - 7029 + 14621 - 62*y - 7592.
-y**2 - 62*y
Collect the terms in 1 - 4*k**3 - 1 - 8*k**2 + 5*k**3 + 14*k**3 - 13*k**3.
2*k**3 - 8*k**2
Collect the terms in -76*a**2 - 129*a + 25*a**2 + 255*a - 128*a.
-51*a**2 - 2*a
Collect the terms in 10*t + 7563 + 7564 - 30239 + 7556 + 7556.
10*t
Collect the terms in 292048*h**3 - 584126*h**3 + 292116*h**3.
38*h**3
Collect the terms in -1403108 + 701547 - 5*w + 701561.
-5*w
Collect the terms in -13495*t + 1950*t - 9613*t - 3833*t - 4164*t.
-29155*t
Collect the terms in 38589*t**2 + 280 - 321 - 38587*t**2.
2*t**2 - 41
Collect the terms in 3063 - 498*k**2 - 1031 + 501*k**2 - 1015 - 1017.
3*k**2
Collect the terms in -24 + 42 - 2*t**2 - 73 + 13 + 11*t**3.
11*t**3 - 2*t**2 - 42
Collect the terms in 539*a + 3*a**2 + 0*a**2 + 2942*a.
3*a**2 + 3481*a
Collect the terms in -1 + 1 - 7347*n - 6207*n.
-13554*n
Collect the terms in -173858*b**2 - 173866*b**2 - 998*b**3 + 347724*b**2.
-998*b**3
Collect the terms in 190402 - 190402 + 403*f + 820*f - 167*f.
1056*f
Collect the terms in 3*a**2 + 88471221694 - 88471221694.
3*a**2
Collect the terms in -397040 - 2009*l + 397040.
-2009*l
Collect the terms in -256479344 + 256479344 - c**3.
-c**3
Collect the terms in 31422188315*y**2 - 31422188315*y**2 + 5*y**3.
5*y**3
Collect the terms in 9619*u**3 - 19446*u**3 + 9395*u**3.
-432*u**3
Collect the terms in 243321*x - 3881*x**3 + 3924*x**3 - 243321*x.
43*x**3
Collect the terms in 10*b - 1324 + 3957 + 7*b - 1314 - 1319 + b.
18*b
|
{
"pile_set_name": "DM Mathematics"
}
|
without replacement from ijijijkvkvkjvjkkwk. What is prob of sequence wk?
1/51
Four letters picked without replacement from lhhlllhlllll. What is prob of sequence hlhh?
1/220
What is prob of sequence gspt when four letters picked without replacement from spstlsglsg?
1/630
Calculate prob of sequence yx when two letters picked without replacement from {y: 2, j: 2, x: 4, f: 1}.
1/9
Three letters picked without replacement from wbbbwbbb. What is prob of sequence wbb?
5/28
Two letters picked without replacement from ooko. Give prob of sequence ok.
1/4
Two letters picked without replacement from {q: 5, e: 8}. Give prob of sequence ee.
14/39
Four letters picked without replacement from {w: 2, i: 2, k: 1, p: 4, h: 2, r: 1}. Give prob of sequence hwri.
1/1485
Four letters picked without replacement from {f: 15, i: 3}. What is prob of sequence iiif?
1/816
Two letters picked without replacement from {h: 2, j: 3, z: 3, r: 8}. What is prob of sequence hh?
1/120
Two letters picked without replacement from {k: 2, r: 1}. What is prob of sequence kr?
1/3
Calculate prob of sequence bb when two letters picked without replacement from fifjbbjffffbffbbabj.
5/57
Four letters picked without replacement from tttppttttttptttptttt. What is prob of sequence pppp?
1/4845
What is prob of sequence kda when three letters picked without replacement from dkdedediikakdkkdk?
3/340
What is prob of sequence lec when three letters picked without replacement from nclnnliienlipilnnenc?
2/855
Three letters picked without replacement from giimmgeeoeeebiemoi. What is prob of sequence obi?
1/612
Two letters picked without replacement from bbqbqdqb. Give prob of sequence qd.
3/56
Three letters picked without replacement from {b: 3, s: 13}. Give prob of sequence sss.
143/280
What is prob of sequence ttts when four letters picked without replacement from {t: 14, s: 4}?
91/765
What is prob of sequence bb when two letters picked without replacement from {e: 1, h: 1, b: 4, o: 4, a: 2, m: 6}?
2/51
Calculate prob of sequence vv when two letters picked without replacement from {h: 2, v: 4}.
2/5
Three letters picked without replacement from {s: 2, o: 9}. Give prob of sequence oss.
1/55
Two letters picked without replacement from {t: 2, w: 7}. What is prob of sequence tt?
1/36
Calculate prob of sequence fz when two letters picked without replacement from {z: 3, i: 6, f: 2, x: 4}.
1/35
What is prob of sequence rv when two letters picked without replacement from vvrrrvvrirrvrirrrv?
10/51
What is prob of sequence qxq when three letters picked without replacement from {x: 1, f: 8, l: 3, q: 6}?
5/816
Calculate prob of sequence ged when three letters picked without replacement from rndnngndgnenng.
1/364
Calculate prob of sequence mz when two letters picked without replacement from {z: 11, f: 2, m: 6}.
11/57
What is prob of sequence tt when two letters picked without replacement from {f: 1, t: 2}?
1/3
Calculate prob of sequence aa when two letters picked without replacement from anjajaajaaajjjbaabja.
9/38
What is prob of sequence uu when two letters picked without replacement from uwueeuuleweulweuuel?
7/57
Calculate prob of sequence sc when two letters picked without replacement from {e: 2, o: 1, k: 1, h: 1, c: 1, s: 1}.
1/42
What is prob of sequence tv when two letters picked without replacement from {v: 2, h: 1, t: 1, w: 2}?
1/15
Three letters picked without replacement from yhavyvyyvyvyyvvss. What is prob of sequence vyh?
7/680
Two letters picked without replacement from bbibbiijiiijbibiiiib. Give prob of sequence bb.
21/190
Two letters picked without replacement from {w: 5, e: 1, o: 5, p: 4, g: 3}. Give prob of sequence ww.
10/153
Calculate prob of sequence oo when two letters picked without replacement from {x: 3, o: 2, g: 15}.
1/190
Two letters picked without replacement from {u: 4, h: 2, i: 1, n: 1}. What is prob of sequence uh?
1/7
Three letters picked without replacement from {t: 9, c: 2, w: 2, d: 5}. What is prob of sequence tct?
1/34
Two letters picked without replacement from {v: 2, k: 6}. What is prob of sequence kk?
15/28
Four letters picked without replacement from {k: 2, y: 7, l: 5}. What is prob of sequence llkk?
5/3003
What is prob of sequence mmaa when four letters picked without replacement from mayawawamywmamawyyys?
1/323
What is prob of sequence xdp when three letters picked without replacement from ppplhhxhdpppvvppvp?
1/544
Two letters picked without replacement from {g: 3, p: 7, t: 1, y: 2, h: 1}. Give prob of sequence tp.
1/26
Three letters picked without replacement from {v: 1, k: 2, l: 1, a: 1, j: 2, w: 2}. Give prob of sequence kjj.
1/126
Three letters picked without replacement from qhchcqccqccccqhchcc. What is prob of sequence cqc?
220/2907
Two letters picked without replacement from {u: 1, m: 9, i: 1, d: 4, w: 3}. What is prob of sequence wd?
2/51
What is prob of sequence ax when two letters picked without replacement from xdgaxdgdxdx?
2/55
Calculate prob of sequence cixx when four letters picked without replacement from ncicxxiixih.
1/165
What is prob of sequence ev when two letters picked without replacement from cevvkkkcvkkc?
1/44
Calculate prob of sequence hhh when three letters picked without replacement from hhhhhh.
1
Three letters picked without replacement from ufukxfufukxfuxkkuexk. Give prob of sequence ffe.
1/570
Calculate prob of sequence gu when two letters picked without replacement from uguggggguuugguug.
21/80
What is prob of sequence iiz when three letters picked without replacement from zjiiijjzii?
1/18
Three letters picked without replacement from vyyptdvvybpyvvv. What is prob of sequence dyy?
2/455
Calculate prob of sequence aaa when three letters picked without replacement from pxpaappap.
1/84
What is prob of sequence mmmp when four letters picked without replacement from {m: 16, p: 4}?
112/969
Two letters picked without replacement from {j: 2, y: 2, a: 2, l: 1, f: 1, z: 1}. Give prob of sequence yf.
1/36
Four letters picked without replacement from gghhhgghhh. What is prob of sequence hggh?
1/14
Calculate prob of sequence cac when three letters picked without replacement from cacaccc.
4/21
Calculate prob of sequence ij when two letters picked without replacement from {i: 1, g: 5, l: 1, j: 1, u: 3}.
1/110
Calculate prob of sequence yyn when three letters picked without replacement from dyykyjdjnjkykybyy.
7/680
Four letters picked without replacement from ooooooggoogoogog. Give prob of sequence ogog.
55/1092
Two letters picked without replacement from {j: 5, i: 5, p: 1, h: 1, m: 7}. What is prob of sequence ij?
25/342
What is prob of sequence kvkk when four letters picked without replacement from {v: 3, k: 2}?
0
Two letters picked without replacement from {e: 10, p: 10}. What is prob of sequence ep?
5/19
Calculate prob of sequence pth when three letters picked without replacement from tohhttotkpht.
1/88
Calculate prob of sequence er when two letters picked without replacement from vaseereeerea.
1/11
Calculate prob of sequence oood when four letters picked without replacement from oooooooccoocooooddd.
143/2584
What is prob of sequence cc when two letters picked without replacement from decdcdcccejje?
5/39
Two letters picked without replacement from {h: 3, r: 2, q: 2, e: 2}. What is prob of sequence er?
1/18
Two letters picked without replacement from jjffjjjfjj. Give prob of sequence jj.
7/15
What is prob of sequence kn when two letters picked without replacement from xeegkeekkkkknkxn?
7/120
What is prob of sequence fo when two letters picked without replacement from {p: 1, f: 5, u: 1, o: 5, e: 2, b: 1}?
5/42
Calculate prob of sequence bbu when three letters picked without replacement from {u: 3, b: 13}.
39/280
Three letters picked without replacement from {m: 2, g: 4, q: 1, j: 4, o: 5}. Give prob of sequence oqo.
1/168
What is prob of sequence tggt when four letters picked without replacement from qttnvttqtttttgtg?
3/728
Four letters picked without replacement from {g: 1, t: 5, a: 5}. What is prob of sequence agat?
5/396
Calculate prob of sequence koko when four letters picked without replacement from ykoyoyoyokyyyooyyoo.
7/5814
Two letters picked without replacement from {o: 2, h: 6, j: 3, q: 1}. What is prob of sequence qo?
1/66
What is prob of sequ
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest to 2/11 in 1/2, 15759, 0.01?
0.01
Which is the closest to -0.2? (a) -6 (b) -732 (c) -4 (d) 0.3 (e) 1/3
d
Which is the nearest to -2? (a) 3 (b) 5 (c) -47 (d) 1
d
What is the closest to 0.034 in 0.0037, -5, 5/6?
0.0037
Which is the nearest to -2/7? (a) -0.03 (b) -4 (c) -2 (d) 53/172
a
Which is the nearest to 0.06? (a) 0.3 (b) -4/7 (c) 4/5 (d) -0.5 (e) -651
a
Which is the closest to 20/11? (a) 1/3 (b) -0.26 (c) -4/11
a
What is the closest to -12876 in 5, -2/9, 0.04?
-2/9
Which is the nearest to 1/11? (a) 0.4 (b) 1 (c) -938 (d) 3
a
Which is the closest to 3? (a) -4/7 (b) 5 (c) -131/76
b
What is the nearest to -6.13 in -2, 0.3, -4, 7?
-4
What is the nearest to -1 in -0.012, -0.13, 5, -0.1?
-0.13
Which is the closest to 8? (a) 1/74 (b) -0.4 (c) 1/2 (d) -5 (e) 0.03
c
What is the closest to -45 in 0.01, 68, -2/9?
-2/9
Which is the nearest to 6.5? (a) -2 (b) -10/9 (c) 2 (d) 1 (e) -0.5
c
What is the closest to 1/2 in -7/3, -1/13, -2.31, 0.4?
0.4
What is the closest to 0 in -0.5, -113, 0, -3?
0
Which is the nearest to 2/3? (a) -14/5 (b) 0.1 (c) 0 (d) -3 (e) -257
b
Which is the nearest to -4? (a) 0.3 (b) -0.52 (c) 1/7
b
Which is the closest to 2? (a) 1/2 (b) 5 (c) -1107 (d) 3/2 (e) -10
d
What is the closest to -4/5 in 51, -2, 26?
-2
What is the closest to -0.048 in -2, 9, 3?
-2
Which is the closest to -0.1? (a) -0.3 (b) -11/13 (c) 3/5
a
What is the nearest to -1/3 in 145, -47/5, 5/6, 1?
5/6
What is the nearest to -2/5 in 3, 94, -448/5?
3
Which is the closest to 0? (a) 0.023 (b) 2 (c) -0.1
a
Which is the nearest to -41? (a) 1/4 (b) -1 (c) -0.1 (d) -0.3 (e) 5
b
Which is the nearest to -1? (a) 1/2 (b) -2750 (c) -5 (d) 1
a
Which is the closest to 4? (a) -5 (b) 0.08 (c) 3 (d) 2/13
c
What is the nearest to -0.1 in 0.877, 0.1, -0.054?
-0.054
What is the closest to 0.2 in -1/112, -3/5, -7, 2/7?
2/7
What is the nearest to -1/5 in 1/15, -1/4, -0.01807, 3/2?
-1/4
What is the closest to 2 in 0.3, -2/21, -4, -0.6, -1/8?
0.3
Which is the closest to -27? (a) -54 (b) 186 (c) -3/2
c
Which is the closest to 0.3? (a) 6 (b) 26 (c) -5 (d) 2 (e) -7
d
Which is the nearest to -1/3? (a) -1.04 (b) -3/2 (c) 0.2 (d) -1/2 (e) -16
d
What is the closest to -18/13 in 0.9, -0.3, -4, -0.1?
-0.3
What is the closest to -1 in 1, 1/2, 79?
1/2
What is the closest to 1.5 in -3, 5, 0.03, 0.3, -2/13?
0.3
Which is the closest to -8? (a) 244 (b) 0.18 (c) -2/3
c
What is the closest to -2/17 in -0.05, 2/7, -2/17, 37/2, -5?
-2/17
Which is the closest to -69.1? (a) 0.3 (b) 1/3 (c) -3
c
Which is the nearest to 2? (a) 4 (b) -3/4 (c) -64 (d) 1/14 (e) 8
d
What is the closest to -646 in -12, 5, -3?
-12
Which is the closest to -27? (a) -1/6 (b) -1/2 (c) 0 (d) -0.1
b
What is the closest to 1 in 25, -11, -2, 4.3?
-2
What is the closest to 2 in 0.4, -2, -4, -286?
0.4
Which is the closest to 0.19? (a) -2/11 (b) 4 (c) -0.1 (d) -2/5 (e) -8
c
Which is the closest to -1/856? (a) -3 (b) 3 (c) 4 (d) 5
a
Which is the closest to -1.7458? (a) 2/5 (b) -5 (c) -0.4 (d) 2
c
Which is the closest to -2? (a) -2 (b) 3 (c) -2/15 (d) 0.15 (e) -10/13
a
Which is the nearest to -41? (a) 0 (b) 0.5 (c) -1.2
c
What is the closest to 4 in 1, 896, -37?
1
What is the nearest to 1 in 85, 2, 1, -4/7, 0.1?
1
Which is the closest to -2/7? (a) -1/6 (b) 4 (c) -0.1 (d) -383
a
Which is the nearest to -2/201? (a) -1/5 (b) -19910 (c) -0.1
c
What is the closest to 2/97 in -7, 0.2, -4/3, 0.3?
0.2
Which is the nearest to -1/3? (a) 1/6 (b) 2/13 (c) -565
b
Which is the nearest to 1/6? (a) 4 (b) -884 (c) 0 (d) 0.5
c
Which is the nearest to -0.1? (a) 1/2 (b) 903 (c) -6/13
c
What is the closest to -1 in 1/5, -1, 2, -2/11, -3691?
-1
What is the nearest to 4/97 in 480, 1/4, -0.5, 2, 0.1?
0.1
What is the nearest to 148 in -0.5, 12, 2, 2/5, 0.1?
12
Which is the nearest to 0? (a) -48/13 (b) -5 (c) 1/6
c
Which is the nearest to 0.07? (a) 5 (b) -11 (c) 0.4 (d) -9 (e) 0
e
What is the nearest to 2251 in -0.04, 0, -0.5?
0
Which is the nearest to 13/20? (a) -1 (b) 2/7 (c) 50 (d) -2/11
b
Which is the nearest to -1/4? (a) -20 (b) -0.4 (c) 0.3 (d) 13 (e) -13
b
Which is the nearest to -0.1? (a) -0.1 (b) -0.768 (c) 51 (d) -3/2 (e) 0.4
a
Which is the nearest to -6? (a) 2/9 (b) -2.9 (c) 4/5 (d) 2/11
b
Which is the nearest to -7? (a) 1/7 (b) -0.4 (c) 23 (d) -0.9 (e) -5
e
What is the closest to -0.1 in -1, 5, -2/43, 47?
-2/43
What is the closest to 6 in -2, -0.34, 7?
7
What is the closest to 2 in -2, -411.8, 0.02, -2/17?
0.02
Which is the closest to -1? (a) -0.2 (b) -2 (c) 0.13 (d) 8
a
What is the closest to 0.1 in -13538, 3, -0.4?
-0.4
What is the nearest to 14 in 1/8, 41, 4, 1?
4
Which is the nearest to -13? (a) 0 (b) 1/3 (c) 2/17
a
Which is the nearest to 6/11? (a) -0.5 (b) 1/32662 (c) 4/3
b
What is the nearest to 0 in -0.3, 0.56, 0.4, -4, 1/7?
1/7
Which is the closest to 2.3? (a) -21 (b) 0.2 (c) -2 (d) 384
b
What is the closest to 0.026 in -2/13, -3/2, 279?
-2/13
What is the nearest to 2/3 in 0.5, -19, -3/7, 1.1?
0.5
Which is the closest to 0? (a) 1355 (b) 6 (c) -1.5
c
What is the nearest to -1/6 in 26, -8, -3, 0, 1/7?
0
Which is the closest to 0.103? (a) 340 (b) 4 (c) 3 (d) 2
d
Which is the nearest to -0.1? (a) -0.6 (b) -20 (c) 0.2 (d) -0.3
d
What is the closest to 1 in 15, 5, -93.8?
5
Which is the nearest to -2/5? (a) -20 (b) 5 (c) -0.1
c
What is the nearest to -92 in -2, 4, 84, -0.1?
-2
What is the nearest to -0.3 in -10.4, 0.3, -50?
0.3
What is the nearest to -10 in 3, -1.6, -1?
-1.6
Which is the closest to 6/91? (a) -4.2 (b) -0.4 (c) 0.1
c
What is the closest to -0.01 in -20/7, -2/3, -1/8, 0.2?
-1/8
Which is the closest to 42? (a) -5 (b) 28 (c) -1/7 (d) -91
b
What is the closest to 2 in 0.3, -45, -0.4, -3/37?
0.3
Which is the closest to 7/10? (a) -172 (b) 1 (c) -4
b
What is the closest to 2 in -1, -2/3, 4/5, -0.48?
4/5
Which is the nearest to -974? (a) -3 (b) 0.03 (c) 3/5 (d) -0.3
a
What is the closest to 2 in 19/4, -1.35, 4?
4
What is the nearest to 0.3 in 0.0295, 3, -4, 0.5, -0.2?
0.5
What is the closest to -1 in -6/83, -6/7, 0.1, -3/8, -1?
-1
Which is the closest to -1? (a) 19 (b) 9 (c) 13/4
c
What is the closest to -3/4 in -2/9, -0.4, 3, 73?
-0.4
Which is the closest to -7? (a) -1 (b) 2/3 (c) 3 (d) 333 (e) 1/4
a
Which is the closest to -13? (a) -0.4 (b) -2/11 (c) 73 (d) -2
d
Which is the closest to 1/3? (a) 2 (b) -7/205 (c) -5 (d) -39 (e) 4
b
What is the nearest to 0 in -58, -0.1, -15?
-0.1
Which is the nearest to -1/3? (a) -2/13 (b) -24/11 (c) -5 (d) 15.09
a
Which is the closest to -0.03? (a) 1/4 (b) 0.5 (c) 531 (d) 2 (e) 1
a
What is the nearest to 2 in 3/40, 0, -430, -1/6, 1/7?
1/7
What is the closest to -0.3 in -2/13, -4, -0.12, 12, 7?
-2/13
What is the nearest to 10 in -1/5, -3/7, 0.2?
0.2
Which is the nearest to 2/3? (a) -0.2 (b) -269 (c) 8
a
What is the closest to 2/7 in 0.5, -2, 0.07, 3296, -4?
0.5
Which is the closest to 2? (a) 5 (b) -6 (c) 15.443 (d) -3
a
Which is the nearest to -7? (a) 48 (b) -0.49 (c) 2/3
b
What is the closest to -10 in -2/9, -0.6, -0.1?
-0.6
Which is the nearest to 0? (a) -0.064 (b) -0.891 (c) 4/15
a
Which is the nearest to 0.2? (a) -9 (b) -3 (c) 3/4 (d) -11/3
c
Which is the nearest to -3? (a) -0.01 (b) -12 (c) -31.76
a
What is the closest to 0 in 169, -3/5, 0.07?
0.07
Which is the nearest to 0.4? (a) 2 (b) -22 (c) 0.02 (d) 8
c
Which is the closest to 1? (a) -3/289 (b) -1/7 (c) 0 (d) -22
c
What is the nearest to 0.1 in 132, 3/2, -13, 1, -1/3?
-1/3
Which is the nearest to 2? (a) -0.4 (b) 5.9 (c) -89/12 (d) -0.05
d
What is the closest to 3/5 in 4204, 0, 5, -0.4?
0
Which is the nearest to -1/767? (a) -5 (b) 1/4 (c) 0 (d) 3
c
Which is the nearest to 20/3? (a) 0 (b) -6 (c) 9 (d) 2
c
Which is the closest to 1/4? (a) -15767 (b) 1 (c) 0 (d) -9
c
Which is the nearest to -282? (a) 10/19 (b) 0.2 (c) 0
c
Which is the nearest to -61? (a) 5 (b) 136 (c) 2/3
c
What is the closest to 2/5 in -343, 0.1, -9, -0.5, -8?
0.1
What is the nearest to -88/5 in 0.1, -1, -1/2, -0.1, -2?
-2
Which is the closest to 0.1? (a) 67 (b) -0.1 (c) 3.4 (d) -0.3
b
Which is t
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - y - 34. Let d(a) = -a**2 + a + 1. Calculate 3*d(m) + z(m).
-2*m**2 + 2*m - 31
Let l(d) = 13*d + 4. Let y(k) = -13*k - 3. Let o(s) = -6*l(s) - 5*y(s). Let u(j) = 6*j + 4. Suppose -174*a - 103*a = -31*a - 984. Calculate a*o(i) + 9*u(i).
2*i
Let a(k) be the first derivative of -k**3 + 4*k**2 - 6*k + 32. Let m(t) = -8*t**2 + 23*t - 17. Determine 17*a(g) - 6*m(g).
-3*g**2 - 2*g
Let c(u) = 37*u**2 + 13*u. Let q(x) = 9*x**2 + 3*x. Let m(i) = -69*i - 302. Let l be m(-4). Calculate l*q(v) + 6*c(v).
-12*v**2
Let b = -28 - -32. Let i(x) = x**3 + 4*x**2 + 4*x. Let l(u) = -9*u**3 - 33*u**2 - 33*u. Calculate b*l(f) + 33*i(f).
-3*f**3
Let q(i) be the first derivative of 4*i**3/3 + 15*i**2/2 + 9*i + 306. Let v(l) = 2*l**2 + 7*l + 4. Determine 4*q(a) - 9*v(a).
-2*a**2 - 3*a
Let z(i) = 3*i**2 - 34*i + 24. Let u(d) = 2*d**2 - 22*d + 16. Determine -8*u(h) + 5*z(h).
-h**2 + 6*h - 8
Let a(y) = -13*y**2 + 9*y - 9. Let d(g) = -6*g**2 + 4*g - 4. Suppose 0 = 5*x + v - 105, 0 = 2*x + v - 6*v - 15. Suppose -w - 4*w = -x. Give w*a(j) - 9*d(j).
2*j**2
Let y(w) = 6*w**2 - 5*w + 3. Let l(g) = 2*g**2 - 2*g + 1. What is -10*l(z) + 4*y(z)?
4*z**2 + 2
Let q(y) = 1. Let n = 120 + -121. Let m(p) = -17*p - 51. Determine n*m(h) - 51*q(h).
17*h
Let t(w) be the second derivative of -55*w**3 + 121*w**2/2 - 196*w. Let u(a) = 11*a - 4. Determine 4*t(f) + 121*u(f).
11*f
Let k(g) = -7*g**3 - 7*g**2 - 4*g - 2. Let f(v) = -6*v**3 - 6*v**2 - 3*v - 2. Determine 4*f(x) - 3*k(x).
-3*x**3 - 3*x**2 - 2
Let w(y) = y**3 + y. Let a(z) = -2*z**2 + 8*z - 9. Let p be a(4). Let f be 6/(-4)*6/p. Let h(c) = -7*c**3 - 7*c - 1. Determine f*h(g) + 5*w(g).
-2*g**3 - 2*g - 1
Let d(t) = -5*t**2 - 2*t + 3. Let o(s) = s**3 - s**2 + 3*s - 1. Let h be o(1). Let y(w) = -1 + 0 + 3*w**h + w - 4*w**2 + 3*w**2. Calculate 3*d(j) + 7*y(j).
-j**2 + j + 2
Let q(d) = 2*d. Let k(b) = -7*b - 3. Let m be k(-2). Let u(j) be the third derivative of -j**4/6 - 360*j**2. Determine m*q(t) + 6*u(t).
-2*t
Let q(s) = -s**2 - 2*s - 22. Let p(t) = t**2 + t + 21. Determine 4*p(d) + 3*q(d).
d**2 - 2*d + 18
Let o(l) = 3*l**3 + 4*l + 125. Let f(i) = 2*i**3 + 3*i + 124. Calculate 4*f(q) - 3*o(q).
-q**3 + 121
Let r(c) be the second derivative of -c**5/10 - c**4/6 - 5*c**3/6 - 109*c. Let j(x) = -3*x**3 - 3*x**2 - 6*x. What is -4*j(n) + 5*r(n)?
2*n**3 + 2*n**2 - n
Let m(k) = 11*k. Let v(a) = 45*a. Let b(q) = -15*m(q) + 4*v(q). Let r(i) = i. Calculate -4*b(j) + 55*r(j).
-5*j
Let f(d) = 6*d**2 - 71*d - 2. Let u(q) = -13*q**2 + 146*q + 5. What is 5*f(k) + 2*u(k)?
4*k**2 - 63*k
Let o = 589 - 597. Let j(g) = 3*g - 15. Let q(i) = -i + 5. Give o*q(h) - 3*j(h).
-h + 5
Let s(h) = -3*h - 23. Let a(m) = 2*m + 14. Let y(w) = 10*a(w) + 6*s(w). Suppose -4*l + 7 = -17. Let v(p) = 2*p + 2. Determine l*v(n) - 7*y(n).
-2*n - 2
Let c(i) = 3*i**2 + 4*i + 4. Suppose o - 2 = 2, 1 = s + 2*o. Let h(v) = -5*v**2 - 7*v - 7. Calculate s*c(b) - 4*h(b).
-b**2
Let p(w) = -20*w**2 - 3*w - 49. Let s(k) = 7*k**2 + k + 16. Give 6*p(z) + 17*s(z).
-z**2 - z - 22
Let j(p) = 51*p**2 - 21*p + 21. Let u = -110 - -47. Let o(v) = -5*v**2 + 2*v - 2. Calculate u*o(a) - 6*j(a).
9*a**2
Let p(n) = 932*n**2 - 2 - 2 - 945*n**2. Let x(c) = -12*c**2 - 3. Give -3*p(y) + 4*x(y).
-9*y**2
Suppose 3*j - t = 49, -4*j + 2*t + 44 = 6*t. Let y be (-2)/(1 + (27/j)/(-3)). Let i(o) = 3*o**2 - 2*o. Let z(g) = g**2 - g. Give y*i(v) + 10*z(v).
-5*v**2
Let o(k) = -k**3 - k**2 - 13*k - 6. Let d(f) = f**3 + f**2 + 9*f + 4. Calculate -7*d(u) - 5*o(u).
-2*u**3 - 2*u**2 + 2*u + 2
Let y(z) = -10*z**3 - 7*z - 67. Let g(t) = 7*t**3 + 5*t + 44. What is 7*g(q) + 5*y(q)?
-q**3 - 27
Let a(y) = -11*y**3 + 7*y**2 - 10*y + 6. Let r(s) = -8*s**3 + 5*s**2 - 7*s + 4. What is 5*a(j) - 7*r(j)?
j**3 - j + 2
Let p(x) = -4*x**2 - 4*x - 6. Let q(h) = -h**2 - 32*h - 129. Let f be q(-27). Let r(d) = -d - 1. Determine f*r(c) - p(c).
4*c**2 - 2*c
Let z(q) = 1 - 23*q + 9*q + 0*q + 13*q. Suppose -13 = -4*g + 7, 0 = 3*n - 4*g + 32. Let u(p) = -5*p + 10 - 5 - p. Determine n*z(m) + u(m).
-2*m + 1
Let w(k) be the first derivative of -2*k**3/3 - 2*k**2 + 5*k + 12. Let z(v) = -v**2 - v. Give w(b) - 4*z(b).
2*b**2 + 5
Let v(n) = 3*n**3 - 42*n**2 - 21*n - 90. Let j(u) = u**3 - 10*u**2 - 5*u - 22. Give -21*j(l) + 5*v(l).
-6*l**3 + 12
Suppose -79*s - 80*s - 354 = 18*s. Let f(x) be the third derivative of 5*x**4/24 + 3*x**3/2 + x**2. Let p(r) = 3*r + 4. Calculate s*f(n) + 5*p(n).
5*n + 2
Let z(o) = 3*o**2 + 14*o + 68. Let g(h) = -3*h**2 - 12*h - 68. Give 7*g(j) + 6*z(j).
-3*j**2 - 68
Let v(s) = -15*s**3 + 55. Suppose -33*l = -28*l + 630. Let j = l + 71. Let y(k) = k**3 - 4. Calculate j*y(b) - 4*v(b).
5*b**3
Let u(s) be the second derivative of s**4/12 + 3*s. Let y(z) = -z**2 - 5*z + 20. Let h be y(-8). Let c(p) = -6*p**2. Calculate h*u(a) - c(a).
2*a**2
Suppose 0 = 2*x - 4*s - 16, 0 = 5*x + 2*s + 1 + 7. Let n(t) = 0*t**2 + x*t**2 - 5*t**2 + t. Let b(h) = 6*h**2 - h. Give 4*b(p) + 5*n(p).
-p**2 + p
Let h(l) = -5*l**2 + 6*l + 4. Let c = -6 - -12. Let p(o) = 5*o**2 - 32*o - 5. Let f(g) = -2*g**2 + 11*g + 2. Let a(d) = -3*f(d) - p(d). Determine c*a(v) + h(v).
v**2 - 2
Let c(p) = -39*p. Let f(h) = 77*h. Let r(j) = 2*c(j) + f(j). Let n(b) = -3*b + 2. Suppose -2*l - 2*t = -5*l + 13, 0 = -l - 5*t - 24. Give l*n(x) + r(x).
-4*x + 2
Let k(t) = -t**3 + 9*t**2 - 7*t + 9. Let h be k(8). Let g(j) = -33 + h + 15. Suppose z - 66 = 4*z. Let c(m) = -m + 12. Give z*g(d) - 2*c(d).
2*d - 2
Let y(c) = 11*c**3 - 67. Let o(a) = -9*a**3 + 67. What is 5*o(k) + 4*y(k)?
-k**3 + 67
Let b(k) = -k - 1. Suppose 3*x - 2 - 10 = 0. Suppose -g + 4*s - 19 = 0, x*g + 4 + 2 = 2*s. Let y(d) = 0*d - g + 1 + 4 + 3*d. What is -7*b(v) - 2*y(v)?
v - 1
Let b(i) = 15*i - 129. Let c(w) = 0*w - 8 + 10 - 10 + w. Let j(p) = -2*b(p) + 33*c(p). Let r(u) = -u + 2. Give 4*j(f) + 11*r(f).
f - 2
Let w(r) be the second derivative of -r**4/4 + 96*r - 1. Let k(t) = -7*t**2 - t + 1. Give -2*k(n) + 5*w(n).
-n**2 + 2*n - 2
Let w(t) = -142*t**3 + 4. Let l(s) = -285*s**3 + 9. Give 4*l(m) - 9*w(m).
138*m**3
Let x(r) = -4*r**2 - 6. Let g(f) = -12*f**2 - 17. Let p(l) = -l**3 - 46*l**2 - 130*l - 49. Let q be p(-43). Give q*g(i) + 17*x(i).
4*i**2
Let d(v) = v + 3. Let t(x) be the first derivative of x + 147. Calculate d(l) + 5*t(l).
l + 8
Let s(j) = -16*j**2 - 4*j + 3. Let v(c) = -16*c**2 - 3*c + 2. Determine -4*s(d) + 5*v(d).
-16*d**2 + d - 2
Let v = 55 - 53. Let t be v/(-6)*24/(-8). Let n(h) = 4*h**3 + 4*h**2 - 2*h. Let i(m) = -m**3 - m**2. Calculate t*n(q) + 3*i(q).
q**3 + q**2 - 2*q
Let p(w) = -4 - 1 + 6*w**2 - 3*w**2. Suppose 16 = -b + 44. Let u(t) = -16*t**2 + 28. Give b*p(v) + 5*u(v).
4*v**2
Let j(p) = 5*p**2 - 2*p - 7. Let c(u) = -4*u**2 + 2*u + 5. Determine -4*c(r) - 3*j(r).
r**2 - 2*r + 1
Suppose h + 18 - 23 = 2*i, 2*i = 0. Let o(v) = -5*v. Let z(f) = 9*f - 1. Give h*o(n) + 3*z(n).
2*n - 3
Let u(t) = 1. Suppose 0*y + 2*y - 2 = 0. Let a(w) be the second derivative of -w**3/6 + w**2 - 1161*w - 2. Calculate y*a(j) - 5*u(j).
-j - 3
Let r(d) = 5 - 2*d - 8 + 7. Let g(m) = 3*m - 6. Let x = -8 + 1. Let o = -14 - -9. What is o*g(y) + x*r(y)?
-y + 2
Let u(l) = 376*l - 470. Let h(x) = -x + 1. Determine -470*h(m) - u(m).
94*m
Let s(k) = -k + 1. Let l(b) = -7*b + 14. Let x(i) = 36*i - 74. Let o(j) = -22*l(j) - 4*x(j). Give -2*o(t) - 22*s(t).
2*t + 2
Let i = -2 - 1. Let n(u) = -6*u + 4. Let f = -3385 + 3393. Let b(k) = -2*k + 1. What is f*b(p) + i*n(p)?
2*p - 4
Let v = 13 + -14. Let k(w) = w**2 + w - 1. Let m(b) = 8*b**2 + 5*b - 3. Determine v*m(n) + 4*k(n).
-4*n**2 - n - 1
Let l(c) = -8*c + 1 + 0*c + 9*c. Let t = 6 + -8. Let a(q) be the second derivative of q**3/6 + 2*q. Give t*l(g) + a(g).
-g - 2
Let i(p) = -25*p**2 - 20*p - 4. Let n(s) = -50*s**2 - 38*s - 7. Calculate -7*i(t) + 4*n(t).
-25*t**2 - 12*t
Let l(h) = -1967*h**3 + 105*h**2 + 35*h. Let n(j) = 164*j**3 - 9*j**2 - 3*j. Calculate -3*l(z) - 35*n(z).
161*z**3
Let s(f) = -141*f**3 - f. Let w(b) = b**3. Determine s(a) + 6*w(a).
-135*a**3 - a
Let q = -206 + 207. Let p(s) = -6*s**2 - 7*s - 4. Let x(l) = 5*l**2 + l - 3. Let g(y) = -4*y**2 - y + 2. Let t(z) = -4*g(z) - 3*x(z). What is q*p(d) + 5*t(d)?
-d**2 - 2*d + 1
Suppose -p - 10 = -6*p. Let k(h) = 1 - 5 + 5 - h. Let c(b) = 3*b - 31. Let m(w) = -w + 6. Let i(j) = 2*c(j) + 11*m(j). Calculate p*i(f) - 9*k(f).
-f
|
{
"pile_set_name": "DM Mathematics"
}
|
er when x is divided by 40?
39
Suppose 2*u - 35 = -3*u. Let a(v) = -v**3 + 4*v**2 + 24*v - 9. Suppose n + 7 = 2*n. Calculate the remainder when a(n) is divided by u.
5
Let g(h) = -156*h - 111. Calculate the remainder when g(-3) is divided by 20.
17
Let q = -737 + 744. What is the remainder when 194 is divided by q?
5
Let k = -13 - -13. Suppose k = 4*x - 2 - 6. Suppose -2*j = x*d - 24, -3*j - 3*d = -6*j + 12. Calculate the remainder when 30 is divided by j.
6
Let n = -1108 - -1162. What is the remainder when 97 is divided by n?
43
Suppose -2*g = -77 - 21. Calculate the remainder when g is divided by 7.
0
Let w = -8 - -12. Suppose w*p - 50 = 38. Suppose m = -m + p. What is the remainder when m is divided by 3?
2
What is the remainder when 180 is divided by 9/(-6)*69*(-6)/27?
19
Suppose -o = -4*o - 4*s + 8, -2 = -3*o - s. Suppose 4*w - 10 = 2, o = 5*d + 5*w - 45. Calculate the remainder when 16 is divided by d.
4
Let w(q) = -q**2 - 4*q + 91. What is the remainder when 429 is divided by w(7)?
9
Suppose -8*n + 205 = -3*n. Suppose -2*v = -5*z + 66, 2*v = -5*z + 13 + n. Suppose -3*m + 54 - z = 0. What is the remainder when m is divided by 8?
6
Suppose 0 = -3*c + 5*t + 9, 1 + 1 = 2*c - 2*t. Let j be c/(-7) - (-3368)/(-28). Let n = 169 + j. Calculate the remainder when n is divided by 10.
9
Let t(w) = 3*w - 8. Suppose -5*k - 2*h + 130 = 0, 4*k + 3*h + 0*h - 97 = 0. Suppose 6*x = 2*x + k. Calculate the remainder when 37 is divided by t(x).
11
Calculate the remainder when 307 is divided by 7 - (0 - 0)/(88 - 87).
6
Let o = -1771 - -1897. What is the remainder when 133 is divided by o?
7
Let j = 2034 - 1944. Calculate the remainder when j is divided by 51.
39
Let v = 34 - 21. Let c = v - 9. Suppose -l + 2*w + 19 = 0, -4*l + 43 = -3*l + c*w. What is the remainder when l is divided by 10?
7
Let r(m) = 10*m**2 - 2*m + 2. Suppose -3*w = 5*s - 92, -33*w + 5*s = -31*w - 53. Calculate the remainder when r(3) is divided by w.
28
Let k(u) = 3*u**3 + u**2 - 4*u + 2. Suppose 0 = 2*c + c + 6. What is the remainder when (-20)/(-8) + (-3)/c is divided by k(1)?
0
Suppose -2*a = -4*u + 4, 3*u = 3*a - 3 - 0. Suppose -4*v = f, f = -u*f - 16. What is the remainder when 6 is divided by -1 - ((-3)/v - 0)?
0
Let t(j) = 12*j**2 + 21*j - 10. What is the remainder when t(6) is divided by 10?
8
Let f = 167 - 84. What is the remainder when 246 is divided by f?
80
Let r be (-5 - 5)/(2/(-4)). Let i = -13 + r. Calculate the remainder when 27 is divided by i.
6
Let y be 36/10 + (-6)/10. Suppose y*x + h - 43 = -h, 3*x - 3*h = 48. What is the remainder when 7 is divided by (-10)/3*x/(-10)?
2
Let v(z) = z**2 - 6*z - 7. Let w be v(7). Suppose 4*c + 25 = -2*y + 163, w = -3*c - 12. What is the remainder when y is divided by 22?
11
Let f(r) = r**3 - 15*r**2 + 14*r + 19. Suppose 33*s = 31*s + 1520. Let c be s/56 - 6/(-14). What is the remainder when 33 is divided by f(c)?
14
Suppose -219 = -3*s + 42. Suppose 3*n - k - s = -5*k, 0 = -2*k - 6. Calculate the remainder when n is divided by 9.
6
Let i be (1 - 3)/(2/(-23)). Calculate the remainder when (5 + (-13)/3)*(i + 1) is divided by 3.
1
Let z(t) = -7*t**2 + t + 3. Let k be z(4). Let b(f) = -169*f + 2. Let v be b(1). Let m = k - v. What is the remainder when m is divided by 16?
14
Calculate the remainder when 159 is divided by 252/8*(-42)/(-49).
24
Suppose -2*q + 1 = 5. Let u be (q + 0 - 1)*-1. What is the remainder when 34 is divided by 3 + 27/u + 0?
10
Let b = -52 + 106. Let k = 106 - b. Calculate the remainder when k is divided by 9.
7
Suppose -i + 0*i + 20 = 0. Suppose -i = -13*b + 11*b. Suppose 0 = -4*h + 26 + 42. Calculate the remainder when h is divided by b.
7
Let h(o) = 89*o**2 + 2. What is the remainder when h(2) is divided by 30?
28
Let r = 262 - 249. What is the remainder when 73 is divided by r?
8
Let j = 40 + -17. Calculate the remainder when 182 is divided by j.
21
Let o = 49 - 34. Calculate the remainder when (-6)/8 + 9*(-546)/(-56) is divided by o.
12
Let f = -71 - -35. Let q be f/84 + 22/(-14). Calculate the remainder when ((-56)/(-3))/q*-3 is divided by 15.
13
Suppose 0 = -2*w + 2*d + 32, 5*d + 28 = 3. Let g(u) = -3*u + 3. What is the remainder when g(-6) is divided by w?
10
Suppose -3*i - w = 4*w + 50, -i - 3*w = 10. Suppose 0 = 5*b + 2*j - 38 - 71, -89 = -4*b - j. What is the remainder when b is divided by ((-20)/i)/(1/15)?
11
Let f(r) = r**3 + 11*r**2 + 13*r + 5. Let s be f(-10). Let l = -17 - s. Let o = 22 - l. What is the remainder when 54 is divided by o?
12
Let w = -514 - -1085. Suppose 6*x = w - 211. What is the remainder when x is divided by 16?
12
Suppose 4*v = 5*q + 382, -5*q + 6 = 3*v - 263. What is the remainder when (14/(-42))/((-1)/v) is divided by 16?
15
Let f(s) = s**2 - 12. Let h be f(-4). What is the remainder when -2*(-52)/(-6)*(-3)/h is divided by 6?
1
Let j(s) = -s**3 + 8*s**2 - 5*s + 2. Suppose 3*o = -2*o. Suppose -27 = -3*f - o*f. What is the remainder when j(7) is divided by f?
7
Let q(t) = -5*t**2. Let w be q(1). What is the remainder when w*(235/(-25) + 4) is divided by 7?
6
Let m(f) = 72*f - 588. Calculate the remainder when m(10) is divided by 77.
55
What is the remainder when 2 - 4 - (1596/(-3) + 6) is divided by 35?
34
Let d = -2025 + 2069. Let f = -189 - -320. Calculate the remainder when f is divided by d.
43
Let c(y) = -3*y**3 + 32*y**2 - 13*y + 15. Calculate the remainder when c(10) is divided by 30.
25
Calculate the remainder when 66/(-4)*(-1)/(-3)*-30 is divided by 56.
53
Let z be 7 + (-4 - -2) - 2. Let v(f) = 4*f**2 - f + 7. Let j be v(5). Suppose -z*c - 3*c = -j. What is the remainder when 31 is divided by c?
14
Suppose -3*c - c + 22 = r, 4*r + 5*c = 66. Suppose -84 = -r*q + 7*q. What is the remainder when 81 is divided by q?
9
Let q(y) = y**2 + 2*y + 4. Let k be q(-4). Let j = k + -11. What is the remainder when (-6 - -7)/(0 + j) is divided by 1?
0
Let f = -168 - -242. Suppose 0*z - 5*z - 3*i + 185 = 0, 2*z + 3*i - f = 0. Calculate the remainder when z is divided by 13.
11
Suppose 5*k + 2*i = 2, 2*k + i = -3 + 4. Let f be k + 2 + -1 + 3. Calculate the remainder when (f/(-8))/(2/(-24)) is divided by 2.
0
Let j(l) = l - 1. Let b(v) = v**3 + 7*v**2 - 8*v - 3. Let y(f) = b(f) - 2*j(f). Let k = -15 + 24. What is the remainder when y(-8) is divided by k?
6
Suppose -2*g = -4*n - 178, g - 48 = 5*n + 38. Calculate the remainder when g is divided by 46.
45
Let q(t) = -t**3 - 6*t**2 + 2*t - 9. Let o be q(-8). Let c = o + -46. What is the remainder when c is divided by 12?
9
Let g(q) = q**3 + 18*q**2 + 15*q - 7. Let u(d) = d**2 + d - 5. Calculate the remainder when g(-17) is divided by u(-4).
6
Let t(z) = z**2 + 2. Let n be t(0). Calculate the remainder when (-4)/n - -13*3 is divided by 19.
18
Let t(v) = -5*v - 27. Let q be t(-6). What is the remainder when 42 is divided by q/(-9) + (640/6)/8?
3
Suppose -3*p + 65 = -16. Suppose 4623 - 4781 = -2*c. What is the remainder when c is divided by p?
25
Suppose 65*m = 66*m - 27. Calculate the remainder when m is divided by 6.
3
Let k(n) = -10*n**2 - 23*n - 49. Let c(h) = 3*h**2 + 8*h + 16. Let f(y) = 7*c(y) + 2*k(y). Calculate the remainder when 6 is divided by f(-9).
1
Let n = 316 - 310. What is the remainder when n is divided by 3?
0
Let y = 101 - 73. Let z(k) = -51*k + 6. Calculate the remainder when z(-2) is divided by y.
24
Suppose 16 = 5*u + 1. Let a = u - -15. What is the remainder when 69 is divided by a?
15
Suppose 4*m - 114 = -3*w - 6, 3*m = -4*w + 74. Calculate the remainder when 117 is divided by m.
27
Suppose 4*u + j - 276 = 0, 6*u - 5*u = 5*j + 90. Calculate the remainder when 136 is divided by u.
66
Let h(l) = l**2 + 17*l + 72. What is the remainder when 110 is divided by h(-14)?
20
Suppose 0 = u - 1, 89 = 3*g + 3*u + 2*u. Suppose j - g + 9 = 0. What is the remainder when 73 is divided by j?
16
Let k(f) = 2*f - 8. Let l be ((-8)/(-12))/((-1)/(-6)). Let n be k(l). What is the remainder when 18 is divided by (n - -1)*1*7?
4
Let z be 24*4*12/64. Suppose -2*h + z = 4. Let v(t) = t + 6. Calculate the remainder when v(6) is divided by h.
5
Let d(n) = -n**3 - 10*n**2 - 27*n - 26. Suppose -3*w + 0*w - 2*t + 51 = 0, 34 = 2*w + 4*t. What is the remainder when d(-8) is divided by w?
11
Suppose 5*l - 5*b + 103 = 1403, -785 = -3*l + 4*b. Calculate th
|
{
"pile_set_name": "DM Mathematics"
}
|
4 - (1 - (-2 + -2)).
-4
Calculate (-1 + 0 - 3) + 12 + -3.
5
Evaluate (-5 - (-16 + 4)) + (-10 - -7).
4
What is the value of -6 + (6 - -1) + 7 + -13?
-5
What is the value of 3 - ((3 - (-1 + 2)) + -3)?
4
What is 8 + -10 + 1 - (2 - -2)?
-5
What is -1 + 11 + -2 + -9?
-1
Evaluate 10 - (11 + -10 - -12).
-3
What is the value of -6 + (5 - 13 - -8)?
-6
What is the value of -5 + (-1 - -7) - 2?
-1
Evaluate -5 - (-2 - (-7 - -18)).
8
Evaluate -1 - (0 + (6 - 3)) - 0.
-4
Evaluate 6 - (-2 + 6) - (-3 + 7).
-2
Evaluate -4 + (-3 - -6) + (3 - 5).
-3
What is 1 - (-8 - -11 - (1 + -2))?
-3
What is the value of (-3 - -7) + -13 + 16?
7
Calculate 8 + (-6 + 12 - (17 + 3)).
-6
Calculate 1 - (0 - 2 - -6).
-3
Calculate 3 - (0 + -1 + (4 - -1)).
-1
17 - (10 + (-13 - -11))
9
What is 3 + 0 - (23 + -20)?
0
Evaluate -4 + 0 + -1 + (-2 - -6).
-1
-7 - -4 - (7 + -3)
-7
What is the value of 1 + 7 - (-8 + 13)?
3
Evaluate 8 + (-6 - -4) + -4.
2
-1 + 1 - (-34 + 41)
-7
Calculate 4 - (4 + (3 + -5 - -6)).
-4
What is -2 + (6 - 11) + 5 + -1?
-3
Calculate 8 - (-3 + 6) - (-9 + 12).
2
-2 + -5 + 1 + 2
-4
Evaluate 48 - 57 - (-4 + -1).
-4
0 - (-3 - -6) - (-2 + -1)
0
2 + (2 + -1 - 2)
1
Evaluate 33 - 30 - (0 - (-1 - -2)).
4
What is the value of -8 - -10 - -11 - 6?
7
Evaluate (-9 - -16) + -3 + -1.
3
Calculate (-3 - 1) + 27 + -28.
-5
Calculate -4 - (4 + 0 - 3).
-5
Calculate (3 - -2) + (9 - 15) + 5.
4
Calculate (-18 - -24) + 4 + 2 + -5.
7
Evaluate -11 - -5 - (-2 - 1) - 0.
-3
Evaluate -8 - (1 - 5 - -7 - 6).
-5
What is the value of 1 + -3 - (3 + -10 + 8)?
-3
What is -5 + 1 - (-12 - (-18 + 6))?
-4
What is 3 - 4 - (-35 - -39)?
-5
What is the value of -147 - -148 - (1 + -1 - -1)?
0
Evaluate 7 + (-1 + 0 - 3).
3
8 + -2 + -2 + -11 - -5
-2
9 + 7 + -5 - 2
9
What is (28 - 28) + 3 + 4?
7
(1 - (-2 + 1)) + -3
-1
Evaluate -5 + (8 - 0 - (10 - 3)).
-4
What is -3 + 3 - (-2 - -4 - 2)?
0
Calculate (-6 - (-5 - (4 + -5))) + -3.
-5
Evaluate 9 - (19 + -1) - -7.
-2
What is -4 + (-1 - -4) + 4?
3
4 - (0 + -2 - (-15 - -4))
-5
What is the value of 0 + (-2 - -1) - (11 + -7)?
-5
Evaluate 4 - (-1 + 4 + -1).
2
Evaluate -5 + 2 + 5 + -2.
0
What is 0 + -3 + (0 + 2 - -1)?
0
What is the value of (-6 - -5 - -4) + 0?
3
What is 4 + -1 + 0 + -1?
2
What is -1 + 0 - 0 - 1?
-2
(5 - 4) + 4 + 6
11
Calculate (3 - 2) + 2 - -1.
4
Evaluate 0 + 8 + (-2 + -2 - -1).
5
-2 + (-4 - (0 - 21)) + -6
9
(-16 - (-4 + -3)) + 5
-4
What is 2 + 1 + -3 + -3 + -2?
-5
Calculate 0 - (0 - -1) - (3 + 0).
-4
Evaluate 8 + -13 + (4 + -8 - -3).
-6
What is the value of 1 - (-2 - -8 - 0)?
-5
Evaluate 9 + -14 + 0 + 3.
-2
Calculate -1 + 1 + -8 + 8.
0
3 + -4 - -3 - (6 - 5)
1
-4 - 6 - (5 - 21)
6
Calculate -14 - -19 - (3 - -2).
0
(0 - 0) + -6 + 5
-1
What is the value of -1 - -5 - (-6 + -5 + 14)?
1
Evaluate (-10 - (-8 + -6)) + -9.
-5
What is 0 + (7 - 11) + 6?
2
Calculate (2 - 2) + 13 + -10 + 3.
6
Calculate -2 + 0 + (4 - (-5 - -7)).
0
What is the value of 3 + -1 + 2 + 3 + -3?
4
What is -14 + 11 - (0 - -1)?
-4
What is the value of 1 + (-16 + 17 - (-1 + 1))?
2
Calculate 4 + -11 + (-6 + 6 - -5).
-2
What is 7 + (-6 - -4) + -4 + 1?
2
Evaluate 0 + -5 + 2 - 0.
-3
Evaluate (-5 - -2) + 5 + -1 + 1.
2
Evaluate 3 + (1 - 4 - (-2 - -3)).
-1
(1 - (-4 + (-6 - -8))) + -5
-2
(-6 - (-1 - 1)) + 0 - -3
-1
-13 + 20 - (2 + 3 + 2)
0
What is the value of 12 + -4 + -2 + -1 + 0?
5
Evaluate (64 - 77) + (5 - 0).
-8
Evaluate (48 - 48) + (-2 + 0 - -2).
0
Evaluate 6 - 1 - (7 + -4).
2
What is the value of -6 + 6 + -6 + 7?
1
Calculate -5 - -3 - 4 - 0.
-6
What is -2 - (0 + 3) - -12 - 1?
6
What is 11 - (-1 + 1) - (-222 + 225)?
8
(6 + -1 - -2) + -8 + -4
-5
What is 0 - (4 - 3) - (-9 + 4)?
4
What is -8 + (5 - (-5 - -6))?
-4
Calculate (4 - 1) + (1 - 5).
-1
Evaluate 13 - 13 - (8 - 1).
-7
4 + -3 - 3 - (-4 + 6)
-4
What is the value of (-2 - (1 + 3)) + 12 + 1?
7
What is the value of 0 + -3 + -6 + 11 + -2?
0
What is the value of -4 - -13 - (0 - (4 - 12))?
1
What is the value of -5 - (-7 - -9) - -3?
-4
What is (22 - 19) + (0 - -1 - 8)?
-4
Evaluate -4 + (8 - (3 + 6)) + -3.
-8
Evaluate -21 - -15 - (-6 + 0).
0
Calculate -7 - -4 - (-10 - -5).
2
What is (-7 - ((-14 - -6) + 7)) + 1?
-5
Calculate -1 + -5 + 2 + -5 + 6.
-3
Evaluate -6 + (-1 - 2) + (3 - 3).
-9
Calculate -3 + 0 - (-4 - 0 - -6).
-5
Evaluate (-5 - -5) + (5 - 2).
3
Evaluate 1 + (-2 - -2) + (118 - 127).
-8
Calculate 22 + -40 + -4 + 17.
-5
0 - (2 - (0 - -7))
5
-10 + 20 + (10 - 14)
6
What is 1 + -2 - (-8 - (-1 + -7))?
-1
9 + -2 + 13 + -16
4
Evaluate 0 + (-3 + 2 - 3).
-4
What is 0 + (-2 + -2 + 10 - 3)?
3
7 - (0 - (-2 - 3))
2
Evaluate 0 - (2 - 2) - 4.
-4
What is (-37 + 32 - (1 - 14)) + -8?
0
What is the value of -4 - (4 + -9 - -6)?
-5
Calculate 2 + 1 + -3 + 1.
1
Calculate -8 - ((3 - (-1 + 10)) + 2).
-4
Evaluate 1 - (0 + 4 + 1) - 1.
-5
What is the value of -6 - ((-1 - 1) + (-27 - -24))?
-1
Evaluate -29 + 37 - (0 - -11).
-3
Calculate 11 + 12 + (-11 - 12).
0
What is the value of 9 + -13 - (-13 - -12)?
-3
Calculate 1 - -2 - (-24 + 11 + 8).
8
Evaluate (5 - 0 - (-2 + 6)) + 1.
2
Evaluate -4 + 7 + -4 + 3 + 0.
2
What is the value of -4 - (-5 + 2 - -4)?
-5
Evaluate 7 - (14 - 13) - 3.
3
(4 - (10 - 1)) + 2 - 4
-7
What is the value of 5 + (0 - 1) + -3 + 0?
1
Calculate (-4 - -1) + -2 + 4.
-1
(-2 + -3 - -7 - 0) + 4
6
(-16 - -14) + -1 + -2
-5
What is 1 + 13 + -19 - (0 + -6)?
1
Calculate 7 + -5 - 0 - (-1 + 8).
-5
-11 + -5 + 13 + -1
-4
Evaluate -2 + 0 + -28 + 27.
-3
Evaluate -5 + 1 + 7 + -2 + -5.
-4
Calculate 4 + 2 + -2 + -1.
3
What is (-19 - -16) + 1 + 6?
4
Evaluate -15 + 12 + (1 - -2) + 2.
2
What is the value of -2 + 8 + (12 - 10)?
8
What is the value of (-2 - 6) + (1 - -3 - 0)?
-4
What is -4 + 3 + -4 + 4?
-1
What is the value of -11 - (-9 + 6) - -2?
-6
Evaluate 8 + -2 + (1 - 3).
4
Evaluate 1 + 9 - (1 - -2).
7
Calculate (6 - (-6 - -7)) + 1 + -8.
-2
What is (-4 + 2 - (11 - 8)) + 2?
-3
Calculate -2 + 10 - (1 - -2) - 2.
3
(-6 - -2) + 9 - 1
4
-4 - -8 - (19 - 15)
0
Calculate (2 - -2) + -9 + 9.
4
What is 6 - (6 + -4 + 5)?
-1
What is the value of (-1 - (-2 - 1)) + (-1 - 2)?
-1
What is (-8 - (-7 - (5 + 0))) + 0?
4
What is 3 + -11 + 9 + 1?
2
Evaluate 1 - 7 - (-5 - (-6 + 3)).
-4
What is the value of -2 + 0 - (0 - -3)?
-5
Calculate (-33 - -34) + -8 + 2.
-5
Calculate 4 - (11 + -1 + -7).
1
What is -3 + 3 + 5 + -5?
0
Evaluate 2 + -7 - -7 - 2.
0
4 - 2 - (-1 + -1 + 1)
3
What is (7 + -2 - -2) + (-9 - -3)?
1
What is 196 + -197 + (1 - -9)?
9
Calculate 0 - (2 + 9) - -8.
-3
What is 17 - 8 - 11 - -6?
4
What is -1 - (5 - 2) - 0?
-4
Evaluate -5 - ((1 - 4) + 3).
-5
Evaluate -10 + 10 + -1 + 2 + -3.
-2
What is -3 + (0 + -1 - (-7 + 3))?
0
What is (-4 - (5 - 7)) + 1?
-1
Evaluate -4 + (2 - -4) + 1.
3
What is 75 - 69 - (2 + 0)?
4
What is (3 + -6 - (1 - 0)) + 4?
0
(0 - (7 - 2)) + -25 + 26
-4
Calculate (-4 - (-15 + 8)) + (-2 - -1).
2
What is the value of 3 - (1 - 2) - 1 - 7?
-4
Evaluate ((-5 - 3) + 11 - -1) + -3.
1
Evaluate 9 - 9 - -2 - (4 + -1).
-1
What is the value of 4 + (7 - 3) - -1?
9
3 - ((7 - 1) + 0) - -10
7
What is the value of 6 + (-10 - (-2 + -4))?
2
What is -5 + (-3 - (-3 - (3 - 1)))?
-3
Evaluate -2 + 5 - 4 - (2 + -1).
-2
Calculate -3 + (6 - (-1 + 10)).
-6
Calculate 3 - (6 + -3) - 1.
-1
Calculate 5 - ((3 - 3) + 1 + 1).
3
Evaluate -16 + 10 - -8 - (1 + 7).
-6
What is the value of 1 + 0 + 2 + 0?
3
Evaluate (-16 - -13) + 4 + -2 + -6.
-7
Calculate (4 - -3) + -2 + 0 + -2.
3
Evaluate -7 + 10 + 5 - 6.
2
What is 6 + (-4 - -6) + -4?
4
What is -127 + 123 - (-4 + -1)?
1
Evaluate 4 + -8 - -8 - -1.
5
Evaluate 6 - ((1 - -8) + (20 - 26)).
3
Evaluate -1 + 0 - -2 - (-63 + 59).
5
What is the value of -4 + 4 + (2 - -2) - -3?
7
Evaluate -1 + 2 + (-2 - 2) + 3.
0
Evaluate -3 - (3 + (-6 - 5)).
5
Calculate 1 + -1 + 0 + -2 + -2.
-4
2 - (4 + 1) - 0
-3
What is (-6 + 8 - 7) + (1 - -3)?
-1
Calculate -5 - (0 + (0 - 2)) - 3.
-6
What is 6 + 0 - (-15 + 23)?
-2
Evaluate -1 + -5 + 0 + 1.
-5
What is the value of 3 - ((6 - 4) + 3 + -3)?
1
What is 5 + -9 + 14 - 4?
6
What is the value of 4 - (-5 + 3 + 10)?
-4
What is the value of -3 + -6 + 1 - -4?
-4
What is -3 + (4 + -1 - 3)?
-3
-2 - (-3 - (-8 - -4 - -6))
3
-1 + 8 + 4 + -3 - 4
4
Evaluate 1 - (-6 - (-15 + 2)).
-6
What is the value of -6 + (-6 - -4) + 11?
3
Calculate 17 + (5 - 15) + -16 + 2.
-7
What is the value of 32 + -34 - (-6 + (2 - 0))?
2
Evaluate 0 + -5 + 3 - -2.
0
Evaluate 0 + -3 + 2 + -2 + 4.
1
What
|
{
"pile_set_name": "DM Mathematics"
}
|
-60*a**2 + 15042*a
Find the third derivative of 8*z**5 + z**4 + 84*z**2 - 1.
480*z**2 + 24*z
Differentiate 33*f**2*i**3*q + 11*f**2 - 4*f + 5*i**3*q + 12*i**3 with respect to q.
33*f**2*i**3 + 5*i**3
Find the first derivative of 4*c**3*w**3 + c**3*w**2 + 26*w**3 wrt c.
12*c**2*w**3 + 3*c**2*w**2
What is the derivative of r*x**2*y - 3*r*y - 12*r - 6*x**2 - 2*x*y + 2*y wrt r?
x**2*y - 3*y - 12
What is the first derivative of 741*g + 363?
741
What is the second derivative of j**2*o*x**3 + 319*j**2*x**3 + 5*j**2*x**2 - 3*j*o*x**3 + 266*j*o + 2*j - 2*o*x**2 wrt j?
2*o*x**3 + 638*x**3 + 10*x**2
Find the second derivative of -2195*g**2*z - 3397*g*z wrt g.
-4390*z
What is the second derivative of 1918*t**2 + 503*t - 1 wrt t?
3836
What is the first derivative of -229*n**2*w**3 - 3*n**2 - 12*n*w**4 - 27*n + 1 wrt w?
-687*n**2*w**2 - 48*n*w**3
Find the second derivative of -10*v**4 + 80*v**3 + 467*v - 1 wrt v.
-120*v**2 + 480*v
What is the third derivative of 64*i**4*y + 12*i**4 + 2*i**2*y + 7*i*y - 30 wrt i?
1536*i*y + 288*i
Differentiate t**2*x**2 - 5*t**2*x - 2*t*x**2 - 67*x**2 with respect to t.
2*t*x**2 - 10*t*x - 2*x**2
What is the second derivative of -239*g**3 - 2*g + 384 wrt g?
-1434*g
Find the first derivative of -v**2 + 79*v + 2884.
-2*v + 79
What is the third derivative of -5*f**5 + 722*f**4*l - 9569*f**2*l wrt f?
-300*f**2 + 17328*f*l
Find the second derivative of -391*a**2 - 912*a.
-782
What is the third derivative of 8*g**3*z**5 - 33*g**3*z**4 + 2*g**3*z**2 - 322*g**3*z wrt z?
480*g**3*z**2 - 792*g**3*z
Find the third derivative of -4925*o**5 - 2*o**2 - 2*o - 3396 wrt o.
-295500*o**2
Find the third derivative of 2362*u**3 + 6455*u**2.
14172
Differentiate 2*m**2*o - 21252*m**2 - 85*m*o + 26*o with respect to o.
2*m**2 - 85*m + 26
Find the third derivative of 8788*z**5 - 1524*z**2 wrt z.
527280*z**2
Differentiate -14*n**4 + 32*n**3 + 25721 wrt n.
-56*n**3 + 96*n**2
What is the second derivative of 121*h**3*k**2 + 99*h**3 + 6*k**3 - 4*k wrt k?
242*h**3 + 36*k
What is the second derivative of 956*q**3*x**3 - 2*q**3*x**2 + 1847*q**3*x wrt x?
5736*q**3*x - 4*q**3
What is the first derivative of -14*d**2*k - 18*d**2 + 315*k wrt d?
-28*d*k - 36*d
What is the third derivative of -977*j**4 + j**3 + 1142*j**2 wrt j?
-23448*j + 6
Find the third derivative of -14*w*x**3*z**3 + 228*w*x**3*z + w*x*z + 2*w*z**3 - 46*x**2*z + 2*x**2 - 76*z**3 wrt x.
-84*w*z**3 + 1368*w*z
What is the derivative of 6*p*w - 725*p - 11*w**2 wrt w?
6*p - 22*w
Find the third derivative of -c**3*d**3 + 21*c**3*d**2 + 2*c**3*d - 2*c**2*d + 185*c*d**4 - 2*d**3 wrt d.
-6*c**3 + 4440*c*d - 12
What is the second derivative of 311*s**4 + 95*s wrt s?
3732*s**2
Find the second derivative of 2933*a**5 - 213*a - 2 wrt a.
58660*a**3
Find the third derivative of 2*h*m**2*v**3 + 18*h*m**2 - 2*h*m*v*w**2 - 3*h*m*w**3 - 2*h*v*w - 7*m**2*w**3 + 2*m*v**3*w**2 - 3*v**3*w**3 wrt w.
-18*h*m - 42*m**2 - 18*v**3
What is the second derivative of -3*l**2*v**2 - 100*l**2*v + l**2 + 21*l*v**2 + 4*v**3 + 3*v**2 + 2*v wrt v?
-6*l**2 + 42*l + 24*v + 6
Find the second derivative of -52*q**3*s**2 - 5*q**3 - 35*q*s - 5*s**2 - 2*s wrt s.
-104*q**3 - 10
Differentiate -509*n**3*t + 2*n**3 + 347 wrt t.
-509*n**3
What is the second derivative of 1282*t**3 - 6*t + 3?
7692*t
What is the second derivative of 296*p**4 - 2*p**3 - 20*p + 31?
3552*p**2 - 12*p
Find the first derivative of 3*w**2 + 75*w - 6692.
6*w + 75
Find the third derivative of -442*b**2*d**2*h*w**3 + 2*b**2*d**2*h - 2*b**2*d*h*w - 4*b**2*d*w**2 + 9*b*d**2*w**2 - 2*d**2*h + d**2*w**3 wrt w.
-2652*b**2*d**2*h + 6*d**2
Differentiate a**2*i*k + a**2*i + 32*a**2*k + 7*a**2 - 3*i*k**3 + 6*i wrt k.
a**2*i + 32*a**2 - 9*i*k**2
Differentiate -13431*c**3 - 20487.
-40293*c**2
Find the third derivative of -563*c**3 + 314*c**2.
-3378
Find the second derivative of 12*d**3*s**2 + 5*d**3 - 2*d**2 - 701*d*s**2 wrt d.
72*d*s**2 + 30*d - 4
Differentiate 43*s**2*t**2 + 2*s**2 + 6*s*t + 500*s with respect to t.
86*s**2*t + 6*s
What is the first derivative of 22*i**2*j**2 - 433*i**2 + 5*i*j**2 wrt j?
44*i**2*j + 10*i*j
Find the second derivative of 40*f**4 + 2*f**3 + 6*f**2 + 22*f + 10.
480*f**2 + 12*f + 12
What is the third derivative of 87*o**2*z**3 + 6*o**2*z**2 - 2*o**2*z + 17*o*z**3 - 19*z wrt z?
522*o**2 + 102*o
Differentiate -122*s + 80 wrt s.
-122
Find the second derivative of -592*d**5 + 1444*d wrt d.
-11840*d**3
What is the third derivative of -3*c**6 + 80*c**4*w - 6*c**4 + c**2*w - 3923*c*w wrt c?
-360*c**3 + 1920*c*w - 144*c
What is the third derivative of j**6 + 19*j**5 - 135*j**4 - 4*j**2 + 2*j - 1653?
120*j**3 + 1140*j**2 - 3240*j
What is the second derivative of 35*h**2*u**2 - 841*h**2*u - 9*h*u**2 wrt u?
70*h**2 - 18*h
What is the second derivative of 168*n**2 + 542*n wrt n?
336
Find the third derivative of 518*h**5 - 15*h**2 - h.
31080*h**2
Find the second derivative of h*j*t**3 - 3*h*j + 5*h*t**2 + 4173*h*t - 11*j*t**3 wrt t.
6*h*j*t + 10*h - 66*j*t
What is the second derivative of -2*i**4 - 84*i**3 + 25*i + 5?
-24*i**2 - 504*i
Find the second derivative of v**5 + 38*v**3 + 209*v wrt v.
20*v**3 + 228*v
Find the second derivative of 14871*z**2 + 16366*z wrt z.
29742
Find the second derivative of -474*x**2 - 506*x.
-948
Differentiate -5*j*z**2 - 1091*j wrt z.
-10*j*z
Find the third derivative of -3*f**2*z**4 - 2*f**2*z**3 - 2*f**2*z + 2*f*z**4 - 27*f*z**2 wrt z.
-72*f**2*z - 12*f**2 + 48*f*z
Find the third derivative of -j**6 - 290*j**3 - 3*j**2 - 32*j - 15.
-120*j**3 - 1740
What is the first derivative of 39*k**2*u**4 + 2*k**2 - 9*k*u**2 - 352 wrt u?
156*k**2*u**3 - 18*k*u
What is the second derivative of 3*h**3*v**3 + h**3*v - 5*h**3 + 7*h**2*v**3 + 21*h*t*v**2 - 3*h*t*v - 11*h*t wrt v?
18*h**3*v + 42*h**2*v + 42*h*t
What is the second derivative of 2402*x**2 + 2231*x?
4804
What is the third derivative of -29*k**5*r**3 - 42*k**4*r - 29*k**2 + 111*r**3 wrt k?
-1740*k**2*r**3 - 1008*k*r
What is the second derivative of 33*r**3*y**2 - 2*r**3*y + 2*r*y - 13*y**2 wrt r?
198*r*y**2 - 12*r*y
Find the third derivative of 1185*l**3 + 801*l**2.
7110
What is the third derivative of 1907*u**4 + 4*u**3 + 15772*u**2?
45768*u + 24
What is the derivative of -217*d*f**3 + 359*f**3 wrt d?
-217*f**3
What is the third derivative of -168*d**5 - d**2 + 120*d wrt d?
-10080*d**2
Differentiate 16*k*z**2 + 126*z**2 wrt k.
16*z**2
What is the second derivative of w**2*y**2 + 26*w**2 + 32*y**2 - 2*y + 2 wrt y?
2*w**2 + 64
What is the second derivative of -296*u**5 + 436*u?
-5920*u**3
What is the derivative of 163*w**4 + 2*w**3 + 32*w**2 - 12784 wrt w?
652*w**3 + 6*w**2 + 64*w
What is the second derivative of -75*u**5 + 15*u**3 - 2643*u?
-1500*u**3 + 90*u
Find the second derivative of -754*b**2*u + 2*b**2*v**3 + 2*b**2*v**2 + 3*b*u*v + 2*b*v**3 + 2*u*v**3 + 7*u*v**2 wrt b.
-1508*u + 4*v**3 + 4*v**2
Find the third derivative of 100*d**6*z**2 + d**3*z**2 - 37*d**2*z**2 + 2*z**2 wrt d.
12000*d**3*z**2 + 6*z**2
What is the second derivative of 5*d**3*h**3 + d**3*h + d**2 + 30*d*h + 2*h**3 + 4*h**2 wrt h?
30*d**3*h + 12*h + 8
What is the first derivative of 22*j*n**3 - 3*j*n + 4*j + 2915*n**3 + n wrt j?
22*n**3 - 3*n + 4
Find the third derivative of 8180*w**3 - 74*w**2 + w + 2.
49080
Find the third derivative of 4*v*x**6 + v*x**4 + 21*v*x**3 - v*x**2 + 2*v*x + 5*x**2 wrt x.
480*v*x**3 + 24*v*x + 126*v
Find the first derivative of -17*a**3*z**2 - a**3 - 11*a**2*z + 44*a**2 wrt z.
-34*a**3*z - 11*a**2
Find the first derivative of -3*u**2 - 17*u - 182.
-6*u - 17
Differentiate -3*a**3*g*o**2 - 9*a**3*o + 2*a**2*o - 11*g*o**3 + 39*o**3 wrt g.
-3*a**3*o**2 - 11*o**3
Find the second derivative of 35*x**3*z**2 - x**3 + 2*x**2*z**2 + 20*x**2*z + x*z**3 wrt z.
70*x**3 + 4*x**2 + 6*x*z
What is the third derivative of -2452*s**3 + s**2 - 2*s + 349 wrt s?
-14712
Find the third derivative of -2*k**3*t**5 + 22*k**3*t**3 + 14*k**3*t + 2*k*t**2 + k wrt t.
-120*k**3*t**2 + 132*k**3
Find the first derivative of -6*g*m*t*v + 2*g*m*t - 64*g*m + 15*g*t*v - m*t*v + 3*m*t wrt v.
-6*g*m*t + 15*g*t - m*t
What is the third derivative of 7*d**4*y - d**3*o**3*y - 113*d**3*o*y + 9*d**2*o**3 - d**2*y - 44*o**3 wrt d?
168*d*y - 6*o**3*y - 678*o*y
Find the second derivative of -2432*q**4 - 2*q**3 - 2*q**2 - 3694*q.
|
{
"pile_set_name": "DM Mathematics"
}
|
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