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stringlengths 270
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| meta
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|---|---|
*d - 1541. Determine f(-4).
11
Let c(t) = -5*t**3 + 1131*t**2 + 4363*t + 396. Calculate c(230).
-1214
Let h(u) = u**3 + 43*u**2 - 22*u - 2113. What is h(-42)?
575
Let n(x) = x**2 - 32838*x + 328279. Determine n(10).
-1
Let n(p) = -5364*p - 434468. Determine n(-81).
16
Let b(z) = 53*z + 7473. Give b(-134).
371
Let m(q) = -11*q**3 + 1540*q**2 + 5*q - 750. Calculate m(140).
-50
Let x(c) = -91*c**2 + 30572*c - 29146. Give x(335).
-1
Let p(t) = 65*t**3 - 2*t**2 - 52*t - 51. Give p(-1).
-66
Let b(g) = 4*g**3 + 6*g**2 - 614*g - 1861. Calculate b(-3).
-73
Let x(z) = -z**2 + 2496*z + 37687. Give x(-15).
22
Let j(y) = 710*y - 39870. Determine j(48).
-5790
Let r(c) = -839*c + 10949. Calculate r(13).
42
Let j(i) = -6*i**2 + 21*i - 225. What is j(10)?
-615
Let z(f) = 4686*f + 18881. Determine z(-4).
137
Let v(x) = -6*x**3 + 97*x**2 - 188*x - 7. What is v(2)?
-43
Let v(b) = -874*b + 10084. Calculate v(11).
470
Let u(w) = -w**2 - 94*w - 1134. Give u(-85).
-369
Let u(i) = -195037*i + 1560294. What is u(8)?
-2
Let g(k) = 9935*k - 20. Determine g(0).
-20
Let d(j) = j**3 - 22*j**2 + 47*j - 535. Calculate d(24).
1745
Let b(y) = -y**3 - 142*y**2 - 661*y + 3282. Determine b(-137).
-6
Let y(i) = i**2 + 75*i - 5342. Give y(47).
392
Let p(w) = -21*w**3 - 31*w**2 + 550*w - 127. Give p(-6).
-7
Let a(n) = -n**3 - 214*n**2 - 445*n - 3544. Determine a(-212).
908
Let d(z) = 657*z - 4011. Give d(16).
6501
Let p(n) = n**3 - 7*n**2 - 97213*n + 777648. Determine p(8).
8
Let k(y) = -5232*y - 1705612. Determine k(-326).
20
Let u(c) = 19*c**2 + 2681*c + 15385. Give u(-6).
-17
Let s(i) = i**2 + 52009*i - 676287. What is s(13)?
-1
Let u(w) = 22*w**3 + 4*w**2 - 919*w + 2733. What is u(3)?
606
Let c(m) = -m**3 + 125*m**2 - 1211*m - 4914. Determine c(114).
-12
Let q(l) = 3429*l + 1639086. What is q(-478)?
24
Let f(j) = -j**3 - 5*j**2 + 633*j - 861. What is f(22)?
-3
Let u(w) = w**3 - 118*w**2 - 1007*w - 49. Determine u(-8).
-57
Let c(i) = -i**3 - 108*i**2 - 2871*i - 250. Determine c(-61).
-6
Let w(i) = -i**3 - 133*i**2 + 140*i + 1. What is w(1)?
7
Let o(c) = -40*c**2 + 150*c - 346. What is o(6)?
-886
Let t(s) = 112*s**2 - 552*s + 47. What is t(5)?
87
Let q(t) = 39552*t + 553717. What is q(-14)?
-11
Let t(s) = 22*s**3 - 15*s**2 + 51*s - 40. Calculate t(3).
572
Let n(l) = -138*l - 3224. Calculate n(-16).
-1016
Let t(s) = 267*s - 50742. Calculate t(188).
-546
Let j(o) = -o**2 + 160*o + 349. Calculate j(162).
25
Let a(m) = m**3 - 9*m**2 - 12*m + 91. Give a(9).
-17
Let g(u) = -u**2 + 4906*u - 3314461. Give g(809).
12
Let z(o) = 2*o**3 + 52*o**2 + 280*o + 438. Determine z(-4).
22
Let w(s) = -566*s**2 + 18*s + 22. Give w(-1).
-562
Let v(h) = -176*h - 10261. Determine v(-61).
475
Let p(z) = 2*z**2 - 27626*z + 689403. What is p(25)?
3
Let c(h) = -h**2 + 237*h - 940. What is c(239)?
-1418
Let g(h) = 56*h**2 + 779*h - 435. Give g(-14).
-365
Let m(t) = 2*t**2 + 1047*t - 6224. Determine m(6).
130
Let l(m) = 290*m**2 + 4990*m + 1023. Calculate l(-17).
3
Let m(c) = 3523*c + 45513. Give m(-13).
-286
Let v(s) = 307*s - 3931. Calculate v(15).
674
Let r(m) = 8326*m - 3396991. What is r(408)?
17
Let d(a) = -a**2 + 135*a - 1997. What is d(11)?
-633
Let f(o) = -4854*o - 23912. What is f(-5)?
358
Let x(q) = 2469*q - 37019. Calculate x(15).
16
Let j(u) = 325*u + 46165. Calculate j(-142).
15
Let l(k) = -80*k - 5236. What is l(-59)?
-516
Let v(f) = -5*f**2 - 247*f + 1573. Give v(-55).
33
Let h(v) = 5171*v + 8583853. Calculate h(-1660).
-7
Let q(z) = -z**3 - 51*z**2 + 381*z + 19639. Give q(-51).
208
Let y(l) = -3*l**3 + 63*l**2 + 27*l + 892. Give y(22).
34
Let z(c) = -145*c**2 + 96*c + 275. Give z(-3).
-1318
Let l(r) = -81836*r + 818381. Determine l(10).
21
Let r(w) = -4818*w + 563732. What is r(117)?
26
Let t(l) = -37278*l + 372747. Determine t(10).
-33
Let r(v) = 2*v**2 + 17673*v - 106106. Calculate r(6).
4
Let h(r) = 43*r - 106. Determine h(2).
-20
Let z(t) = -119*t**2 - 3808*t - 165. Determine z(-32).
-165
Let a(w) = 1217*w + 21894. Give a(-18).
-12
Let l(c) = c**3 + 2*c**2 - 43*c - 133. Calculate l(-6).
-19
Let d(s) = -239*s - 8908. Give d(-37).
-65
Let m(t) = t**3 + 34*t**2 - 166*t + 374. Calculate m(-39).
-757
Let x(u) = 81*u - 2. Give x(-1).
-83
Let p(s) = 18*s**2 - 209*s + 280. Calculate p(10).
-10
Let n(u) = -u**2 - 250*u - 7066. Determine n(-33).
95
Let p(s) = -25545*s - 1169. Calculate p(0).
-1169
Let l(s) = -402*s + 61511. Determine l(153).
5
Let z(y) = y**2 + 1865*y + 67638. Determine z(-37).
2
Let q(f) = -33*f**3 - 123*f**2 - 58*f + 3. Give q(-3).
-39
Let t(r) = -r**3 + 158*r**2 - 316*r + 24970. Calculate t(157).
7
Let z(g) = -20*g**2 - 5524*g + 11032. Give z(2).
-96
Let f(o) = 2*o**3 + 4*o**2 - 148*o - 606. Calculate f(-5).
-16
Let o(a) = 1080*a + 9806. Give o(-9).
86
Let v(m) = -659*m**2 - 814*m + 817. What is v(1)?
-656
Let k(i) = 2*i**3 - 22*i**2 - 205*i + 2978. Give k(15).
1703
Let g(n) = -3*n**2 + 1601*n - 86402. What is g(61)?
96
Let s(c) = 70*c**2 + 713*c - 772. Determine s(1).
11
Let o(y) = y**3 + 97*y**2 - 1309*y - 49. What is o(-109)?
60
Let o(y) = -98*y**2 + 7139*y + 308. What is o(73)?
-787
Let b(x) = -5039*x + 75581. Calculate b(15).
-4
Let r(x) = -4720*x + 37767. Calculate r(8).
7
Let x(m) = -333*m + 5172. Calculate x(5).
3507
Let h(a) = -2*a**3 + 311*a**2 - 190*a + 5562. Determine h(155).
137
Let h(k) = k**3 - 66*k**2 - 20*k + 1020. Give h(66).
-300
Let d(g) = -1198*g + 28039. Calculate d(26).
-3109
Let o(w) = 848*w + 816403. Determine o(-963).
-221
Let b(l) = 608231*l + 6690532. Determine b(-11).
-9
Let n(w) = 47*w**3 - 7758*w**2 + 493*w + 528. Determine n(165).
198
Let t(h) = h**2 + 96921*h + 387672. Calculate t(-4).
4
Let p(u) = -630*u - 125732. What is p(-203)?
2158
Let w(s) = 5858*s - 907979. Determine w(155).
11
Let f(b) = -5*b**3 - 32*b**2 + 108*b + 455. Determine f(-7).
-154
Let r(g) = 52*g**2 + 6492*g + 125258. What is r(-101)?
18
Let v(h) = 2*h**3 + 334*h**2 + 5329*h - 5247. Calculate v(-149).
-32
Let o(y) = 3*y**2 + 190*y - 722. Determine o(3).
-125
Let v(c) = 726*c - 53638. Determine v(74).
86
Let s(z) = 2*z**3 + 10*z**2 - 97*z - 523. Determine s(-6).
-13
Let d(m) = 4*m**2 + 1969*m - 5945. Determine d(3).
-2
Let o(c) = c**2 - 433*c + 23620. Give o(64).
4
Let t(x) = -2145*x**2 + 23620*x - 278. What is t(11)?
-3
Let s(y) = 95*y + 1806. Calculate s(-30).
-1044
Let n(i) = -34*i**2 + 2178*i - 33. Calculate n(0).
-33
Let u(v) = 399703*v + 399696. What is u(-1)?
-7
Let t(i) = -328*i**2 + 15102*i - 601. Give t(46).
43
Let t(h) = h**3 - 78*h**2 - 352*h + 458. Calculate t(82).
-1510
Let s(h) = 8765*h - 2874930. What is s(328)?
-10
Let r(l) = -2*l**3 - 7*l**2 - 19*l - 54. Give r(-3).
-6
Let u(s) = -17*s**2 - 4842*s + 1022. Give u(-285).
167
Let y(d) = -d**2 + 40*d + 10682. What is y(126)?
-154
Let c(f) = -13*f**3 + 107*f**2 + 786*f + 103. What is c(13)?
-157
Let q(n) = n**3 - 21*n**2 + 44*n - 241. Give q(8).
-721
Let i(p) = -25269*p - 454839. What is i(-18)?
3
Let w(d) = -d**3 - 12*d**2 - 315*d - 2934. Give w(-10).
16
Let h(x) = x**3 + 25*x**2 + 131*x + 173. What is h(-7)?
138
Let j(l) = -560*l**3 + 15*l**2 + 113*l + 99. Give j(-1).
561
Let f(i) = -14044*i + 505310. Give f(36).
-274
Let b(a) = -3*a**2 - 160*a - 1884. What is b(-19)?
73
Let t(c) = -c**3 - 33*c**2 + 91*c + 2354. Give t(-34).
416
Let n(m) = 60*m + 843. Calculate n(-28).
-837
Let p(h) = 13245*h + 516561. Determine p(-39).
6
Let u(f) = -40*f**2 + 1404*f + 1265. Determine u(36).
-31
Let i(v) = v**3 - 435*v**2 - 1659*v - 42565. Determine i(439).
18
Let t(l) = -l**2 - 48*l + 984. What is t(18)?
-204
Let f(w) = 3852165*w + 11556504. Determine f(-3).
9
Let j(y) = -3*y**2 + 773*y + 21221. Give j(-25).
21
Let a(m) = 47327*m - 6720454. What is a(142)?
-20
Let o(k) = -1167407*k + 10506664. Give o(9).
1
Let w(s) = -6*s**2 - 131253*s + 393790. What is w(3)?
-23
Let f(l) = l**2 - 3351*l - 26888. Calculate f(-8).
-16
Let i(d) = 373229*d - 2239373. What is i(6)?
1
Let i(t) = -t**2 - 1126*t - 30690. Give i(-28).
54
Let w(y) = 2*y**3 - 131*y**2 - 547*y - 16614. Give w(71).
0
Let v(s) = -5*s**2 + 754*s + 17073. Give v(-20).
-7
Let s(x) = 2*x**3 - x**2 - 125*x - 241. Give s(-9).
-655
Let i(k) = 671*k + 213. Give i(0).
213
Let c(g) = -g**3 + 221*g**2 - 7789*g + 24. Determine c(44).
-20
Let r(f) = f**2 - 41*f - 14598. Determine r(-10
|
{
"pile_set_name": "DM Mathematics"
}
|
four dps?
7.439
Round -0.0062269722 to 6 dps.
-0.006227
Round -0.0837285214 to 6 dps.
-0.083729
What is -0.00546507701 rounded to 4 dps?
-0.0055
What is -0.55652429 rounded to 1 decimal place?
-0.6
What is 1357.76751 rounded to zero decimal places?
1358
What is 1100084.61 rounded to the nearest 1000000?
1000000
Round -6.93164906 to one dp.
-6.9
What is 1569.37798 rounded to the nearest integer?
1569
Round 0.0446785387 to 3 decimal places.
0.045
What is 2.5311068 rounded to one dp?
2.5
What is 0.000003701759 rounded to 7 decimal places?
0.0000037
Round -428.852537 to one dp.
-428.9
What is -277.712731 rounded to the nearest 10?
-280
Round 65975764 to the nearest 100000.
66000000
What is 16.63683035 rounded to three dps?
16.637
What is 9625023.56 rounded to the nearest 1000?
9625000
What is -1332531200 rounded to the nearest 1000000?
-1333000000
What is -381655.27 rounded to the nearest one thousand?
-382000
Round -42545472 to the nearest 100000.
-42500000
What is -0.24804397 rounded to four decimal places?
-0.248
Round -24284275.78 to the nearest 1000.
-24284000
What is -0.0265011315 rounded to six dps?
-0.026501
Round -420246.49 to the nearest one thousand.
-420000
Round -755275.813 to the nearest 100000.
-800000
What is -0.000275631128 rounded to 7 decimal places?
-0.0002756
What is 0.215749211 rounded to 4 dps?
0.2157
Round 0.00000889238108 to seven dps.
0.0000089
Round 1728226.154 to the nearest one hundred.
1728200
Round -10317.5745 to the nearest one hundred.
-10300
Round 0.00111428596 to 4 decimal places.
0.0011
Round 172.9992784 to the nearest one hundred.
200
What is -0.0048832216 rounded to five decimal places?
-0.00488
What is 144932189 rounded to the nearest 100000?
144900000
What is 197.6512447 rounded to 0 decimal places?
198
Round 0.014565792518 to four dps.
0.0146
Round -0.001245322272 to 7 dps.
-0.0012453
What is -0.0062343935 rounded to six dps?
-0.006234
What is 0.387188404 rounded to 3 decimal places?
0.387
Round -197745.726 to the nearest 100000.
-200000
Round 884.09025 to one decimal place.
884.1
Round -109184.79 to the nearest ten thousand.
-110000
What is 3.4322029 rounded to three decimal places?
3.432
What is -0.00151457969 rounded to five dps?
-0.00151
What is 382.38248 rounded to one dp?
382.4
What is 4046.965775 rounded to the nearest 1000?
4000
What is 613454014 rounded to the nearest one million?
613000000
What is 0.0348428937 rounded to 5 dps?
0.03484
Round 54218.563 to the nearest one hundred.
54200
What is -0.005172496932 rounded to four decimal places?
-0.0052
What is -7493394.8 rounded to the nearest 100000?
-7500000
What is -10469.86697 rounded to the nearest one thousand?
-10000
Round 1177741.574 to the nearest ten.
1177740
Round -77.87749652 to two dps.
-77.88
What is 3.149350746 rounded to 2 decimal places?
3.15
Round -328428453 to the nearest 10000.
-328430000
Round -0.001421676505 to 7 decimal places.
-0.0014217
What is -0.000533698435 rounded to 5 dps?
-0.00053
Round 96612.938 to the nearest 10.
96610
What is -27370.195 rounded to the nearest one thousand?
-27000
What is -8871.8995 rounded to the nearest one hundred?
-8900
What is -0.51490918 rounded to zero dps?
-1
What is 42854.59478 rounded to the nearest ten thousand?
40000
Round 0.00108504306 to four dps.
0.0011
Round -0.252666618 to 1 decimal place.
-0.3
Round 0.000000797795439 to six dps.
0.000001
What is -1.007594263 rounded to three decimal places?
-1.008
Round -3159696 to the nearest 100000.
-3200000
Round -26132.8627 to the nearest one hundred.
-26100
What is 0.0000132234084 rounded to six decimal places?
0.000013
Round -0.0001268750947 to 6 dps.
-0.000127
Round 109235736.1 to the nearest ten thousand.
109240000
What is -1.3969776192 rounded to three dps?
-1.397
What is 1674293.5 rounded to the nearest 100000?
1700000
Round 0.0002566725344 to 7 dps.
0.0002567
What is -14.45322597 rounded to the nearest 10?
-10
Round 1734702.9 to the nearest one thousand.
1735000
Round -0.75940992 to 4 decimal places.
-0.7594
What is -10.39316363 rounded to zero dps?
-10
What is 318.9986425 rounded to the nearest ten?
320
Round -0.083778136 to 4 decimal places.
-0.0838
What is 0.063917318 rounded to 2 decimal places?
0.06
What is 0.0026796637 rounded to five dps?
0.00268
Round 0.00000375684432 to 7 decimal places.
0.0000038
What is -0.0386027444 rounded to 2 dps?
-0.04
Round 4011425.02 to the nearest one hundred thousand.
4000000
What is -68.667164 rounded to two decimal places?
-68.67
What is 16.09059058 rounded to one decimal place?
16.1
Round -15.97297261 to the nearest ten.
-20
What is 0.00040286797 rounded to 6 dps?
0.000403
Round -7.206538529 to the nearest integer.
-7
What is 863.867472 rounded to the nearest ten?
860
What is -21092.5252 rounded to the nearest ten thousand?
-20000
Round -0.2754531 to two dps.
-0.28
Round -537791638 to the nearest ten thousand.
-537790000
What is -8799783 rounded to the nearest one hundred thousand?
-8800000
Round -0.000344634394 to 4 decimal places.
-0.0003
What is -0.446398312 rounded to five dps?
-0.4464
Round 406404.229 to the nearest one hundred.
406400
Round -0.0075314287 to 5 decimal places.
-0.00753
What is -89414319.56 rounded to the nearest 100000?
-89400000
Round 1163.0147111 to one dp.
1163
Round 64.1341031 to three decimal places.
64.134
What is -655196.178 rounded to the nearest one hundred?
-655200
Round -0.000370081194 to 7 decimal places.
-0.0003701
Round 0.0001597666431 to 5 dps.
0.00016
What is -24643.8368 rounded to the nearest one thousand?
-25000
What is -0.81510757 rounded to three decimal places?
-0.815
What is 10060611.71 rounded to the nearest 10000?
10060000
What is 0.0021109175 rounded to five decimal places?
0.00211
Round 76520.992 to the nearest ten.
76520
Round 1918781.7 to the nearest ten thousand.
1920000
What is 0.2023638663 rounded to 5 dps?
0.20236
Round -7725.95348 to 1 decimal place.
-7726
Round 1.95661003 to 3 decimal places.
1.957
Round 40675.43541 to the nearest 10000.
40000
Round -0.332692349 to 1 dp.
-0.3
Round -27.95380773 to 2 dps.
-27.95
Round -6600103.64 to the nearest one million.
-7000000
Round 5938.6548 to the nearest one hundred.
5900
What is 2.479223667 rounded to three dps?
2.479
What is 111272680 rounded to the nearest 10000?
111270000
Round -62.7454 to the nearest ten.
-60
What is -2853.6971 rounded to 0 decimal places?
-2854
What is 62792908 rounded to the nearest one million?
63000000
Round 11528842.66 to the nearest 1000000.
12000000
What is -3.4127313 rounded to one dp?
-3.4
Round 0.00000379798489 to seven decimal places.
0.0000038
Round 15.5816458 to three decimal places.
15.582
Round -15277300000 to the nearest one million.
-15277000000
Round -0.000000594514489 to 7 decimal places.
-0.0000006
What is 0.0001218659329 rounded to five dps?
0.00012
What is 3.370178 rounded to 2 dps?
3.37
Round -73424.388 to the nearest ten thousand.
-70000
Round -7069804.4 to the nearest one million.
-7000000
Round -2.21439452 to 3 decimal places.
-2.214
Round -120645935 to the nearest 100000.
-120600000
What is -4.4908324 rounded to 2 dps?
-4.49
What is -0.08671663169 rounded to 5 decimal places?
-0.08672
What is 21.0282077 rounded to two decimal places?
21.03
What is 2034684.57 rounded to the nearest one hundred?
2034700
Round -43.304734 to two dps.
-43.3
What is 0.0000045450484 rounded to seven dps?
0.0000045
What is 0.000656779903 rounded to four dps?
0.0007
What is -0.062753366 rounded to 2 decimal places?
-0.06
Round 0.00107833672 to 5 dps.
0.00108
What is 761709.49 rounded to the nearest 100000?
800000
What is -131.5705656 rounded to the nearest 10?
-130
What is -585790030.1 rounded to the nearest one hundred thousand?
-585800000
Round 74.5471698 to two decimal places.
74.55
Round -0.0110252824 to six decimal places.
-0.011025
What is -18365984.04 rounded to the nearest 1000?
-18366000
What is -50271.02 rounded to the nearest one thousand?
-50000
What is 11.413576 rounded to the nearest integer?
11
What is 0.00526791 rounded to 4 decimal places?
0.0053
What is 0.0110893227 rounded to 4 decimal places?
0.0111
What is 32.2485444 rounded to the nearest integer?
32
What is 17617932.9 rounded to the nearest one thousand?
17618000
What is 1765.8737 rounded to the nearest 10?
|
{
"pile_set_name": "DM Mathematics"
}
|
i = -2*r - 5*i - 16. Let d(p) = -p**3 - 6*p**2 - p - 7. Let u be d(-5). Let h = r - u. Is 3 a factor of h?
False
Suppose -2*n + 5 = 3*n. Let h be (-1 - 8/(-1)) + n. Suppose 5*m - h + 28 = 0, -76 = -3*b + 4*m. Does 10 divide b?
True
Suppose -4*l = 2*j + 54, 5*l + 4*j + 63 = -0*j. Let t be 0/((-10)/(l/3)). Suppose -z - z + 90 = t. Is z a multiple of 11?
False
Let c(o) = -o**2 - 7*o - 10. Let b be c(-3). Suppose -b*w = -5*y + 316, -4*y + 3*w - 33 + 290 = 0. Is y a multiple of 13?
False
Suppose -a + 20 = 4*x, -2*x + 4*a = 3*a - 10. Suppose x*v - 172 - 258 = 0. Is v a multiple of 13?
False
Suppose -3*s = -2 - 352. Let d = s + -76. Suppose -198 = -2*c - d. Is c a multiple of 20?
False
Let b = 5732 - 2564. Is b a multiple of 24?
True
Let k = 2425 - 1209. Is 31 a factor of k?
False
Suppose 2*r + 3*x = 12, 6*r + x = r + 4. Suppose n - 134 - 69 = r. Is n a multiple of 29?
True
Let i = 190 + -71. Let a = i - 85. Suppose 3*w - 78 = 3*d, -3*w + 4*d = -40 - a. Does 10 divide w?
True
Suppose -16*i + 448 = -8*i. Does 28 divide i?
True
Let k(d) = -2*d**3 - 16*d**2 - 13*d - 64. Is k(-8) a multiple of 8?
True
Let a(c) = 6*c - 28. Let v be a(6). Let n = -1 + 25. Let k = n - v. Does 10 divide k?
False
Let q be 185/(-20) + (-3)/(-12). Let l be -9*3/q - -1. Is 0 - -2 - -9*l a multiple of 13?
False
Let w = 104 + -68. Suppose 35*k = w*k - 33. Is 11 a factor of k?
True
Let v = 62 - 36. Suppose -4*l - v + 226 = 0. Is 10 a factor of l?
True
Let x = 5 + -5. Let y(b) = b**3 + 13*b**2 + 9*b - 1. Let u be y(-11). Suppose x = 3*w - u - 32. Does 26 divide w?
False
Let w = 227 - 102. Suppose -3*x + 4*x + y = 25, -4*y - w = -5*x. Is x a multiple of 8?
False
Suppose 0 = -2*j - 30 - 0. Let m be (j/6 - -3)*4. Suppose -27 = -z + m. Does 11 divide z?
False
Suppose -270 + 648 = 14*v. Let g = v + -7. Is 2 a factor of g?
True
Suppose -2*r + 4 = -8. Suppose t - r*t + 15 = 0. Suppose 23 = t*o - 4*n - 57, 86 = 4*o + 5*n. Is 8 a factor of o?
True
Let c be (9 - -3)/(-3) + (1 - 3). Does 7 divide ((-87)/c)/(7/42)?
False
Let v(m) = -6*m - 3. Let d be v(1). Let k(w) = -w**2 - 9*w + 3. Let o be k(d). Suppose 0*c - 60 = -c + y, 3*c - 204 = -o*y. Does 22 divide c?
False
Let b(k) = -k**2 + k - 2. Let c be b(3). Let q = c - 2. Let i(j) = -3*j - 8. Does 15 divide i(q)?
False
Suppose 2*w - 5592 = -4*t, -6*w + 5574 = -4*w - 5*t. Is 31 a factor of w?
False
Suppose 26*m = 58*m - 36608. Is m a multiple of 39?
False
Let d = 57 - 51. Is 2 a factor of d?
True
Let v = 4 + 636. Is 20 a factor of v?
True
Suppose 3155 = g - 33*m + 29*m, 4*m = -20. Is 11 a factor of g?
True
Let w be ((-21)/6)/((-3)/6). Suppose 3*n - 2 - w = 0, -2*x + 3*n + 511 = 0. Is 13 a factor of x?
True
Suppose -4*q = -3*r - 1239, 4*r + 918 = 2*q + 306. Is q a multiple of 12?
True
Let j(u) = 15*u**2 + 27*u + 183. Does 40 divide j(-9)?
False
Let x(a) = -a**2 - 2*a + 2. Let d be x(0). Suppose -4*i - v + 377 = -d*v, i - v = 95. Does 24 divide i?
False
Suppose -5*j = -s - 144, 4*j - 2*j = -4*s + 62. Suppose -2*q + 12 - 5 = -5*i, 2 = 2*q - 4*i. Let m = j + q. Is m a multiple of 20?
True
Suppose 4*t + 93 = 5*t. Let a = t + -55. Is a a multiple of 7?
False
Let i(b) = 35*b**3 - 2*b**2 + 3*b + 3. Does 34 divide i(2)?
False
Suppose 3987 = 5*q + 4*r, -r - 3997 = -3*q - 2*q. Is q a multiple of 94?
False
Let n be (-624)/(-26)*(6*1)/(-2). Is -2 - (2 + n - -4) a multiple of 4?
True
Let j(z) = -z**3 - 13*z**2 - 21*z + 5. Is j(-14) a multiple of 15?
True
Let y(i) = -i**2 + 11*i + 7. Let o be y(11). Suppose -2*f + 3*g = -30, -o*g - 34 = -2*f - 3*g. Let k(x) = x**3 - 8*x**2 - 8*x + 9. Does 6 divide k(f)?
True
Let n = -536 + 685. Is 4 a factor of n?
False
Let o(p) be the third derivative of 0 - 5/2*p**3 - 6*p**2 - 1/4*p**4 + 0*p. Is 15 a factor of o(-7)?
False
Let b = -64 - -74. Does 5 divide 196/b + (-10)/(-25)?
True
Suppose 4*z = 396 + 1636. Does 55 divide z?
False
Let f be (-36)/(-96) - 42/(-16). Suppose 0 = -2*j + b - 2*b + 286, -f*b = -2*j + 294. Does 24 divide j?
True
Let c = 3014 - 1934. Is c a multiple of 45?
True
Suppose 3*n + 5*p = 8*n - 3395, 5*n + 4*p = 3422. Suppose -107 = 5*y - n. Is y a multiple of 23?
True
Does 22 divide ((-1233)/6)/(24/(-16))?
False
Let h = 113 - -17. Suppose 3*x = -0*r + r + 390, 3*r - h = -x. Does 26 divide x?
True
Is -12*((-2)/(-8) + -4) a multiple of 14?
False
Let q = -52 + 29. Let v = q - -27. Suppose 0*l + 132 = v*l. Is 11 a factor of l?
True
Suppose -5*b + 10777 = 1207. Is b a multiple of 29?
True
Let z(o) = 18*o**3 + o**2 + o - 1. Let f be 2 - (-3 - 1)/(-4). Does 3 divide z(f)?
False
Is (1 - 31)*(1 + 1130/(-50)) a multiple of 9?
True
Let o(x) = 3*x**2 - 6*x + 2. Let s be o(2). Let h(a) = 151*a - 3. Is h(s) a multiple of 15?
False
Let v = -317 + 462. Is 5 a factor of v?
True
Suppose 5*p + 631 = 3*v + p, -3*v + 2*p + 641 = 0. Suppose -4*u + v = 1. Is u a multiple of 18?
True
Suppose -2 - 3 = -2*l - z, 4*l - 2*z = -10. Suppose 7*v - 558 = 3*v + p, l = -4*v + 2*p + 560. Is v a multiple of 15?
False
Let j(a) = 2*a**2 + 4*a - 8. Let k be j(-6). Suppose -k = -2*b + 56. Suppose -60 - b = -4*n. Is n a multiple of 11?
False
Suppose 5*t + 70 = 2*m, -m + 29 = t - 2*t. Is 15 a factor of 2255/m + 1/(-5)?
True
Let i(z) = 65*z**2 - 16*z + 2. Does 71 divide i(4)?
False
Suppose -2*j - 510 = -3*u, 1250 = -6*j + j - 5*u. Let r be ((-8)/6)/(2/j). Suppose 3*n + n - r = 0. Is n a multiple of 18?
False
Suppose -o - o - 186 = -4*w, 0 = -3*w - 4*o + 134. Suppose -3*c + 21 = -2*p + w, 5*c + 75 = 5*p. Does 14 divide p?
False
Suppose -2*z + 0*g + 3*g = -304, 0 = -5*g - 20. Does 7 divide z?
False
Let q(n) = 64*n - 138. Does 6 divide q(6)?
True
Let s(y) = 1. Let m(j) be the first derivative of -5*j**2/2 - 2. Let d(p) = -m(p) - 3*s(p). Is 10 a factor of d(5)?
False
Let n(a) = 2*a**2 + 17*a - 72. Does 15 divide n(12)?
True
Suppose 4*p = 7 + 1. Let h be 5 - 3 - 48 - p. Let m = h - -102. Is 18 a factor of m?
True
Suppose -5*y = -3*y - 4. Suppose -y*v = 2*v - 412. Does 31 divide v?
False
Let w(b) = -2*b**3 + 4*b + 10. Let s be -2 + 0 - (2 - -1). Let l be w(s). Suppose f = -4*f + l. Is 6 a factor of f?
True
Suppose z - 4*c - 209 = 214, 10 = -5*c. Is 28 a factor of z?
False
Let c = -185 + 189. Let r be (-2 + -4)*2/(-6). Suppose -r*z - 2*j + 32 = -14, z + c*j - 35 = 0. Is 6 a factor of z?
False
Let t(k) = k**2 - 8*k + 9. Let v = 12 + -6. Let x be t(v). Does 10 divide (-10)/x*27/6?
False
Let m(o) = 52*o - 149. Does 10 divide m(35)?
False
Let f(o) = -o**2 + 5. Let l be f(0). Suppose -4*d + 10 = 3*n - 10, -3*n = 0. Suppose -l*g = x - 70, -2*x + d*g = -4*x + 115. Is 15 a factor of x?
True
Let q(u) = u**3 + 21*u**2 + 6*u - 70. Is 4 a factor of q(-20)?
False
Let r = 10 + -8. Suppose -r*o = -o. Suppose -4*c - 4*b - 49 + 221 = o, 15 = -3*b. Is c a multiple of 16?
True
Suppose -h = 5*l - 3687, -5*l - h + 5*h = -3677. Is 14 a factor of l?
False
Let p = 13 - 36. Let l = -19 - p. Suppose 5*r - 2*b = 314, l*r - 2*b = -0*b + 252. Does 13 divide r?
False
Suppose -16*o = -3647 - 1249. Is o a multiple of 15?
False
Suppose -691*v = -684*v - 3115. Does 50 divide v?
False
Let z = -1147 - -1179. Does 8 divide z?
True
Suppose -10 = -2*f + 3*a - a, -f = -4*a - 8. Suppose -2*m - 29 = -m - 3*l, 0 = m + f*l + 36. Does 2 divide 5/(-2)*m/10?
True
Suppose v + 3*j = 106, -3*j = -2*v + 156 + 74. Is 16 a factor of v?
True
Let u = -278 + 549. Let r = 403 - u. Does 15 divide (-3)/((-9)/r + 0)?
False
Let f(i) = -4*i - 10. Let p be f(-9). Suppose 35 = 5*j + h + 4*h, -4*j - 5*h + 33 = 0. Suppose 4*r - m - 32 = 3*m, -j*r - 3*m = -p. Is 5 a factor of r?
True
Suppose 3 - 39 = -4*t. Let i(l) = -l**3 + 12*l**2 - 18*l - 17. Is i(t) a multiple of 8?
True
Let v be 234*(0 - -5)/15. Let z = 94 - v. Is 8 a factor of z?
True
Let o = 158 - 118. Does 4 divide o?
True
Suppose 0 = -3*y, -2*x + 3*x - y = 207. Suppose -4*m = x - 827. Does 49 divide m?
False
Let m = 367 - 210. Suppose m = 5*d + 3*n, -4*d - 2*n - 20 = -144. Is d a multiple of 6?
False
Suppose 7*h - 5*h = 4. Suppose -5*l = -h*l - 81. Does 9 divide l?
True
Let s be 10/2 - (4 - 5). Let b(w) = 7*w - s - 20*w + 2*w. Is b(-3) a multiple of 9?
True
Suppose 0 = -z - 2*z. Suppose z*a + a = -1. Does 22 divide (-22)/(-33)*(a - -67)?
True
Let s be -3 + 7 - (-2 - 0). Is 24 a factor of (0 - (-27)/s)/(3/160)?
True
Let k be 124/44 + 6/33. Suppose -k*w + 11*w =
|
{
"pile_set_name": "DM Mathematics"
}
|
ch is smaller: k or x?
k
Suppose 0 = 61*b - 12*b - 18179. Is b at least as big as 18?
True
Let x = -26.62 - -27. Let j = -0.4 + x. Let u = -15050 + 15050.05. Is u <= j?
False
Let h be 21/(-2)*(2 - (-22)/(-3)). Let y = h - 41. Are 3/5 and y equal?
False
Suppose 4*p - 288 = -16*s + 12*s, 0 = 4*s - 4*p - 280. Which is bigger: s or 0.15?
s
Let t = -26314 + 26331.8. Is 13 greater than t?
False
Let a(b) be the second derivative of b**5/10 - 4*b**4/3 + b**3/2 + b**2/2 - 37*b. Let r be a(8). Is r bigger than 23?
True
Let f = 64 - 64. Suppose f = -6*s + 5 + 7. Let w = 4571/17 + -269. Is s at most w?
False
Let v = 0 + 0. Let i = -5223322/63 + 82910. Which is bigger: v or i?
i
Let p = 59 - 60. Let s = -0.0783 - 58.9217. Which is bigger: p or s?
p
Suppose 0 = z, s - 3*z - 310 = 3*s. Let f be 25/5 + (-5 - -2 - -2). Let p be f + 610/s*1. Is p >= -1?
True
Let u be (-128)/(-832) + (252/(-26))/(-2). Suppose u*f = -26*f - 12400. Is -400 at most f?
True
Let r be 2/(-4)*20/(-6)*-3. Let g be 2/2 + r + 7 + 3. Suppose -g = -7*n + 5*n. Is 3 less than or equal to n?
True
Let y be 73260/(-276750) + -9 + 1251/135. Let h = -1 + 2. Is y bigger than h?
False
Let l be (((-35)/7)/10)/(66/(-92)). Let g = l - 602/869. Is g at most as big as -1?
False
Let p be (((-12)/(-9))/2)/((-1)/42). Suppose -s + 34 + 16 = 0. Let h be s/3 + (p/(-12) - 3). Which is smaller: 17 or h?
h
Let g(x) be the third derivative of -3*x**5/20 - x**4/8 - x**3/3 - x**2. Suppose -196*l = -201*l + 10. Let k be g(l). Is -46 != k?
True
Suppose 0 = 39*v + 151945 - 59554. Does v = -2369?
True
Let l = 0.085251 + -82.159251. Let x = 82 + l. Let q = -0.014 - x. Is q < 0?
False
Suppose -5*d + 60 = -4*p, 9*d - 12*d + 39 = -3*p. Which is smaller: p or -0.0794?
p
Suppose d = 11*d - 40. Suppose 0*u = b - u - 2, -d*b - 6 = 3*u. Suppose l + 3*z + 16 = 0, b = -l + 2*l - 5*z - 24. Do -3/23 and l have the same value?
False
Let d be (-5 + 3 - 42)*(-10)/(-4). Let y = -337 - d. Which is smaller: -228 or y?
-228
Let q(k) = 2*k**3 + 8*k**2 - 3*k - 1. Suppose -2*f - 2 = 0, 4*a + 2 + 13 = 5*f. Let y be q(a). Let i = y + 106/3. Which is smaller: -4 or i?
-4
Let i = 1.1 + -5.1. Let w = i - -3.3. Let v = 26657.9 + -26658. Which is smaller: v or w?
w
Let b be (9396/(-189))/(6/42). Which is smaller: -352 or b?
-352
Suppose -8*s - 15 = -o - 5*s, o + 5 = -2*s. Suppose -18 = o*y - 33. Let m be y - 5/((-40)/14). Are m and 7 equal?
False
Let o(p) = p**2 + 10*p + 26. Let l be o(-6). Suppose 1 - 11 = -l*d. Suppose 115 = d*v - 5*b, b = 3*v + 4*b - 81. Are 26 and v nonequal?
True
Let r = 23 - 23. Suppose -k - d = 8, k - 2*d + 0*d + 11 = r. Let q be 0 + 0 - 30/k*-3. Is q at least -9?
False
Let q = -862 + 4258/5. Suppose 78*n + 54*n + 1452 = 0. Is q not equal to n?
True
Suppose 0*a = 2*c + 3*a - 2523, -5*c = -a - 6350. Let r = c + -8790/7. Which is greater: 12 or r?
r
Let r be (1 + -3)/(60326/14). Is r at most 1?
True
Let q(g) = 788*g - 235. Let i be q(-2). Are -1810 and i unequal?
True
Let c(b) = 5*b + 10. Let k be c(-2). Let a(w) = -3*w - 10. Let z be a(-3). Let g be (-35)/25 + (1 - z/(-2)). Are g and k non-equal?
True
Suppose 0 = -q - 5*h - 107, 2*q - 20*h + 25*h = -219. Is q at least -665/6?
False
Let l(z) = 10*z**2 - 7*z + 17. Let d(i) = -5*i**2 + 3*i - 7. Let h(y) = -5*d(y) - 2*l(y). Let q be h(0). Which is greater: 6/193 or q?
q
Suppose f + 20 = 5*f. Suppose 0 = -5*i - w - 10, f*i - 5*w = 7*i + 4. Let p be 10/i - (-730)/70. Which is smaller: p or 6?
p
Suppose 3*u + 2*v = -0*u - 52, v - 73 = 4*u. Let h be ((-45)/6)/(u/2)*-3. Let t = -110/7 + 108/7. Do t and h have different values?
True
Let d(n) = -n**3 + 23*n**2 - 45*n + 25. Let q be d(21). Let o be -8*(-4)/(-8) - q*1. Suppose -4*z - 2*x = o, 5*z - x = -5*x - 38. Which is bigger: -11 or z?
z
Let n(x) be the second derivative of x**5/20 - 13*x**4/12 + 7*x**3/3 - 17*x**2/2 - 8*x. Let v be n(12). Let c be 2/v + -3*(-46)/(-924). Is c at most 1?
True
Let y(q) = -3 + q - q**2 - 3*q + 2*q**2. Let v be y(4). Let x(d) = -d**3 - 53*d**2 + 109*d - 50. Let h be x(-55). Does v = h?
True
Suppose -3*k = -4*n - 0*n - 312, -549 = -5*k - 3*n. Suppose k = 5*z + 18. Let l be 237/(-735) + (z/15 - 1). Which is bigger: 1 or l?
1
Let p(q) = -15527*q + 896. Let f be p(-1). Is f less than or equal to 16423?
True
Suppose -3*r - 3 + 57 = 0. Let q(j) = j**2 - 20*j + 9. Let i be q(r). Does -27 = i?
True
Suppose -27*l + 2706 + 183 = 0. Are 755/7 and l equal?
False
Let a = -214 - -217. Suppose 6 - 9 = -a*y. Is -16 greater than or equal to y?
False
Suppose -2*k + 5*k + 5*h + 25 = 0, -k = 3*h + 15. Suppose -4*y + d = -d - 24, 2*y - 2*d - 12 = k. Suppose -2 - 13 = -3*r. Which is smaller: y or r?
r
Suppose -h + 3*h = 8. Let k(d) = 63*d + 14398. Let t be k(-228). Is t bigger than h?
True
Let r be 119641/(-670605) + 6/38. Which is smaller: 1 or r?
r
Let l be -1 - 7 - (-16 + 10 + 18). Does l = -24?
False
Let f be (0/26)/((-3 + 1)/(-2)). Suppose 2*b + 2*w = -f*b - 58, 79 = -3*b + w. Suppose 49 = -7*h - 133. Which is bigger: h or b?
h
Let l(k) be the second derivative of -k**5/10 + k**4 - 3*k**3/2 - 5*k**2/2 - 88*k. Let b be l(5). Are -2/231 and b equal?
False
Let o be (-25)/(-4 - (-84)/20). Let h be (188/46 - 4) + o/115. Is h != -1/278?
True
Suppose 101*r = 77*r + 24. Which is smaller: r or -5/328?
-5/328
Let f(w) be the first derivative of -2*w**2 + 7*w + 5. Let u be f(2). Let s = 0 + u. Which is smaller: s or -2/23?
s
Let x = 63775 - 4528032/71. Suppose -7 = -i + 3*q, 2*i + 3*i = 5*q + 15. Are i and x equal?
False
Let g be ((-3)/(-2))/((-3)/522*3). Is g at most as big as -87?
True
Let h(q) = 124*q. Let m be h(-3). Let l be (-2)/3*(10 - (-3714)/m). Is l >= 1?
False
Let n = 4.3 + -1.46. Let g = n - -2.23. Let h = 1.33 + g. Is h greater than or equal to 2/9?
True
Let m = -349960191 + 72091625895/206. Let c = m + 842. Which is greater: c or 0?
c
Suppose -2*o = 2*q - 266, 2*q - 22*o + 20*o = 266. Are 143 and q equal?
False
Suppose 2*z + r - 11 = -4, 0 = -3*z + 5*r + 30. Suppose -5*d = -15, 2*p + 6*d - z*d - 35 = 0. Which is bigger: p or 15?
p
Let h = -1857487/4711860 + -6/26177. Let i = 1/18 - h. Is i != -1?
True
Let y be 48/(-42) - 3/(-21). Let m be (-2704)/(-160) - 17 - (-192)/1695. Which is greater: m or y?
m
Suppose -2*g - 2 + 8 = 0. Let c(y) = y + 1 - 9 + g*y + 3. Let r be c(4). Are 10 and r non-equal?
True
Let p be 2/(7 - (-8)/(-2)) - (-1012)/3. Is p greater than 341?
False
Suppose n + 297 = -55. Let o be 22*(15 + -53 + 22). Are o and n nonequal?
False
Let o be -3 + ((-3040)/(-2235) - -2). Let p = -4/149 + o. Let n = 0.6 + 2.4. Are n and p equal?
False
Let v be (-77)/(-33) + 4/(3 - 15). Suppose -v*s + 5*c = 58, -110 = 5*s - c + 6*c. Suppose -2*h - o = 51, 3*h + o + 84 = -3*o. Is s != h?
False
Let w = 15725 + -15725. Which is smaller: w or 1/306?
w
Let g = 23347756/11 - 44267244913/20856. Let a = -471883/24 - -19657. Let i = a + g. Which is bigger: i or 0?
i
Let t be (312/(-48) - -5)/(1/(-10948)*3). Is t smaller than 5475?
True
Let y = 128 - 66. Let a = -172 + y. Let p = a - -110.1. Is -73 >= p?
False
Suppose -252 = i - 5*u, -5*u + 6 = -2*u. Let n be (i/(-12))/(1/2). Let x = n - 37. Is 1 <= x?
True
Let p be (-20640)/384*13/(-5). Which is greater: 139 or p?
p
Let a be -9 - (-12)/((-1512)/(-1170)). Which is smaller: 19/14 or a?
a
Let s = -5.99 + -0.01. Let d = -23 - s. Let w = 12 + d. Is w <= -4?
True
Let p(b) = -26*b - 181. Let w be p(-7). Is 41/34 at least w?
True
Let m = 14378125293 + -388273993961/27. Let b = -2392698 - m. Let r = 304 - b. Is -1 < r?
True
Let j be (5 + 426/18)*3. Suppose j*f - 80*f = -24. Which is smaller: -7 or f?
-7
Let o = -545.32 + 551. Let t = o + 0.42. Which is bigger: t or 0.3?
t
Suppose -h - 52 = -2*o - 0*o, 125 = 5*o - 5*h. Let c be ((-14)/8)/(o/108). Let q(z) = -z - 8. Let m be q(c). Is 2/41 bigger than m?
True
Let j = 307.1 + -305.3. Are j and -12/11 equal?
False
Suppose 27*u - 32*u = 0. Suppose u = 5*p - 22 + 12. Suppose -p*c + 6 = -0*c. Which is greater: 2 or c?
c
Suppose 3*s - 2 = 5*j, 3*s + 4*j = -0*s + 47. Let r be 6/8*((12992/120)/(-28) + 16). Which is smaller: r or s?
s
Suppose -3*l + b = -13, 0*b - 8 = 2*b. Let g be 0 + -4 - (-3 + -2 + l). Let t be -1*3 - (4 - 6). Is t at least g?
True
Suppose -7*t + 3*t = 8. Let y be (-16)/18*1*(16 + (-13 - 0)). Is y smaller than t?
True
Suppose 3*g
|
{
"pile_set_name": "DM Mathematics"
}
|
820667
What comes next: 22912, 92264, 207882, 369790, 578012, 832572?
1133494
What comes next: 4637413, 9274824, 13912235, 18549646?
23187057
What is the next term in -26724, -28174, -30586, -33960, -38296, -43594, -49854?
-57076
What is next in -2186594, -2186929, -2187264, -2187599, -2187934?
-2188269
What is the next term in 1331, 5257, 11777, 20891, 32599, 46901?
63797
What is next in -12619, -57272, -131687, -235858, -369779?
-533444
What is next in -1420, -2799, -5112, -8359?
-12540
What comes next: 8759253, 8759247, 8759237, 8759223?
8759205
What is next in -1044696, -2089420, -3134176, -4178964, -5223784, -6268636, -7313520?
-8358436
What comes next: -9566, -9507, -9432, -9335, -9210?
-9051
What is next in -23353, -46196, -69037, -91876, -114713, -137548, -160381?
-183212
What comes next: -10442, -20795, -31068, -41261, -51374?
-61407
What is the next term in -565866, -1131724, -1697574, -2263416, -2829250?
-3395076
What comes next: 295816, 1183255, 2662318, 4733005, 7395316?
10649251
What is the next term in 316714, 633736, 950758?
1267780
What comes next: -2920311, -2920315, -2920317, -2920317?
-2920315
What is the next term in -68573, -68556, -68539, -68522, -68505?
-68488
What comes next: 8897, 19109, 29317, 39521?
49721
What is next in 273909, 273926, 273943, 273960?
273977
What is next in -11323, -22777, -34387, -46153?
-58075
What is the next term in 3354, 6664, 9944, 13194, 16414, 19604?
22764
What is the next term in -481, -2097, -4853, -8749, -13785, -19961, -27277?
-35733
What comes next: -2063, -3967, -5691, -7235, -8599, -9783, -10787?
-11611
What is next in 38938, 77763, 116578, 155377, 194154, 232903?
271618
What is the next term in 17358, 17423, 17498, 17583, 17678, 17783?
17898
What comes next: -2583, -2387, -1821, -687, 1213, 4077?
8103
What is next in 71073, 71341, 71609, 71877, 72145, 72413?
72681
What is the next term in 1798, 6935, 15478, 27421, 42758, 61483, 83590?
109073
What is the next term in -7248150, -7248220, -7248288, -7248354, -7248418?
-7248480
What is next in 12866, 23554, 34244, 44936, 55630, 66326, 77024?
87724
What is the next term in -4135, -16425, -36891, -65533, -102351?
-147345
What comes next: -79, -586, -1969, -4666, -9115?
-15754
What is next in -222287, -226652, -231017?
-235382
What comes next: -61694, -246771, -555226, -987053, -1542246, -2220799?
-3022706
What is next in 162553924, 325107853, 487661782, 650215711, 812769640, 975323569?
1137877498
What comes next: -57693, -56897, -55561, -53679, -51245, -48253, -44697?
-40571
What is the next term in 12234, 24614, 37278, 50364, 64010, 78354?
93534
What comes next: 535, 2501, 4467, 6433, 8399?
10365
What is the next term in 3792, 9413, 15036, 20661, 26288?
31917
What is next in -24885, -86078, -188067, -330852, -514433, -738810?
-1003983
What is the next term in 969057, 968986, 968869, 968706, 968497, 968242?
967941
What is next in -525288, -525311, -525334?
-525357
What is the next term in 8974, 36869, 83374, 148501, 232262, 334669?
455734
What is next in -1502, -1342, -1064, -662, -130, 538?
1348
What is next in 22530, 44993, 67366, 89643, 111818, 133885?
155838
What comes next: 20586, 81985, 184200, 327231?
511078
What is the next term in 151817, 151948, 152079, 152210?
152341
What is the next term in -360352, -360471, -360758, -361297, -362172?
-363467
What is next in -268720, -538698, -808676, -1078654?
-1348632
What is the next term in 414, 1600, 3574, 6354, 9958?
14404
What is next in 61950023, 123900043, 185850063, 247800083, 309750103?
371700123
What comes next: -368507, -736470, -1104433, -1472396?
-1840359
What is the next term in -52044086, -52044085, -52044084, -52044083, -52044082, -52044081?
-52044080
What comes next: -5516907, -5516911, -5516915?
-5516919
What is next in -160691, -321482, -482275, -643070?
-803867
What is the next term in 14621, 15970, 17319, 18668?
20017
What is next in 25219, 200429, 676003, 1602121, 3128963, 5406709, 8585539?
12815633
What is the next term in -137787, -139537, -141287?
-143037
What comes next: 7293, 24416, 53023, 93108, 144665, 207688, 282171, 368108?
465493
What comes next: 64994, 64991, 64984, 64973, 64958, 64939, 64916?
64889
What is the next term in 6877418, 6877419, 6877420?
6877421
What comes next: 5728549, 11457089, 17185625, 22914157, 28642685, 34371209, 40099729?
45828245
What comes next: -532, -3122, -7442, -13486, -21248?
-30722
What is the next term in 239, 186, 63, -172, -561, -1146?
-1969
What comes next: -910558, -910490, -910436, -910402, -910394?
-910418
What is next in -65444, -65353, -65202, -64991, -64720, -64389, -63998?
-63547
What is next in 741811, 741923, 742035, 742147, 742259, 742371?
742483
What comes next: 243050, 243092, 243186, 243350, 243602?
243960
What is the next term in -1440, -12709, -43734, -104445, -204772?
-354645
What is the next term in 266, 1607, 3830, 6935, 10922, 15791, 21542?
28175
What comes next: -11520, -22019, -32518, -43017, -53516?
-64015
What is next in 1097962, 1097974, 1097986, 1097998, 1098010, 1098022?
1098034
What comes next: 2669, 22836, 77995, 185642, 363273, 628384, 998471?
1491030
What is the next term in -68784605, -137569213, -206353821?
-275138429
What comes next: -316990718, -316990718, -316990708, -316990682, -316990634?
-316990558
What is the next term in 83367, 166731, 250095, 333459?
416823
What is the next term in 372880, 745761, 1118648, 1491541?
1864440
What is the next term in 6282300, 6282297, 6282294?
6282291
What is the next term in 10950, 20943, 37606, 60945, 90966, 127675?
171078
What comes next: -23253, -93096, -209501, -372468, -581997?
-838088
What is next in 143088833, 143088831, 143088829?
143088827
What comes next: 4777603, 4777555, 4777507, 4777459, 4777411, 4777363?
4777315
What is next in 543, 638, 621, 492?
251
What comes next: -8045, -8140, -8281, -8492, -8797?
-9220
What is next in 10722, 21241, 31700, 42069, 52318, 62417, 72336?
82045
What is the next term in 3523, 7036, 10543, 14044, 17539, 21028, 24511?
27988
What comes next: -6525394, -6525382, -6525360, -6525328, -6525286, -6525234?
-6525172
What comes next: 940, 7187, 24140, 57151, 111572, 192755?
306052
What is the next term in -290, 420, 2130, 4846, 8574?
13320
What is the next term in -20745, -41159, -61201, -80829, -100001, -118675?
-136809
What is the next term in 475, 1989, 3527, 5083, 6651, 8225?
9799
What is the next term in 6495634, 6495632, 6495630, 6495628, 6495626?
6495624
What is next in -112747838, -112747839, -112747840, -112747841, -112747842, -112747843?
-112747844
What is the next term in 106814, 106847, 106898, 106967, 107054, 107159?
107282
What comes next: -668, -1642, -3232, -5438, -8260, -11698, -15752?
-20422
What is the next term in 21943, 20907, 19187, 16789, 13719, 9983?
5587
What comes next: 3432418, 13729657, 30891706, 54918559, 85810210, 123566653?
168187882
What is next in 3060, 5729, 7590, 8241, 7280, 4305, -1086?
-9295
What comes next: -97757, -195424, -293065, -390668, -488221, -585712, -683129, -780460?
-877693
What comes next: -64421, -128858, -193269, -257642, -321965?
-386226
What is the next term in 1534, 2798, 3786, 4498?
4934
What is the next term in 2141, 8216, 18227, 32174, 50057?
71876
What is the next term in 58003272, 116006550, 174009828?
232013106
What is next in -22576, -45112, -67582, -89956, -112204, -134296, -156202?
-177892
What is next in 8095, 8418, 8739, 9058, 9375?
9690
What is next in 875480, 3501921, 7879324, 14007689, 21887016, 31517305, 42898556?
56030769
What is next in -15781, -126380, -426567, -1011136, -1974881?
-3412596
What is the next term in -4964, -41672, -141318, -335372, -655304?
-1132584
What is next in -126, -485, -1098, -1965, -3086, -4461?
-6090
What comes next: 11, -1500, -5649, -13756, -27141, -47124?
-75025
What is next in -101122, -202279, -303436, -404593?
-505750
What is next in 10554485, 10554514, 10554543, 10554572, 10554601, 10554630?
10554659
What comes next: 6303, 13288, 20273, 27258, 34243?
41228
What is next in -529342, -1058683, -1588024?
-2117365
What comes next: -969, -1734, -2511, -3306, -4125?
-4974
What is the next term in 269, 2687, 9369, 22451, 44069, 76359, 121457, 181499?
258621
What is the next term in -8434, -33360, -74876, -132970, -20763
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose -4*d + 8 = l*c - 4*c, 0 = -3*d + 4*c + 16. Let m be (d - -1)*10/35. What is the second smallest value in m, -5, 0?
0
Let s = -6.3 - 1.7. Let u = -7 - s. Let n = 1.1 - u. Which is the third biggest value? (a) 0 (b) n (c) -1/4
c
Let g = 0.01 + 5.99. Which is the biggest value? (a) -1 (b) -2/9 (c) g
c
Let s = 1.016 + -1. Let k = s + 2.084. Let q = -0.1 + k. Which is the smallest value? (a) -0.2 (b) -2/3 (c) q
b
Let m = 1 - -4. Let f = -123 + 863/7. Suppose 13 = 2*b - 2*r - 5, 0 = -5*b - 4*r. What is the third smallest value in m, b, f?
m
Let a = 3.5 + -3. Let r = -0.96 + 0.46. What is the third biggest value in r, -3, a?
-3
Let n = -131 - -134. What is the biggest value in 2/7, n, 0.02, -1/13?
n
Let t = 3.13 - 3.3. Let n = t - 0.03. What is the second smallest value in 4/5, n, -3?
n
Let p = 2 - 2.4. Let x = p - 3.6. What is the third smallest value in -2/7, 2/15, x?
2/15
Let l = -0.087 - 0.913. Which is the smallest value? (a) -3 (b) l (c) 0.1
a
Let u = -24 - -25. What is the second smallest value in u, -2, -1/6, -3/7?
-3/7
Let d = -167.5 - -165. Which is the biggest value? (a) -0.4 (b) d (c) 5
c
Let m = -1.21 + 0.21. Which is the third biggest value? (a) m (b) 0 (c) -4
c
Let s = 2/21 - -4/7. Let j = 3.05 + -0.05. Which is the third biggest value? (a) s (b) j (c) -4
c
Let o be 6/(-4)*(-1)/(-9). Let f = -18 - -10. Let y be f/(-36) + 24/135. What is the third smallest value in -3/5, o, y?
y
Let j = -7 + 12. Let g be (1 - -1) + (4 - 3). Suppose -g*v = -2*i + 10, -3*v = 2*v + 10. What is the biggest value in j, -5/3, i?
j
Let n = 7 - 4. What is the smallest value in 2, 2/5, n?
2/5
Suppose -11*v + 8*v = 3. Which is the third biggest value? (a) v (b) -3/5 (c) 4 (d) -4
a
Let f = -24 - -24. Which is the second smallest value? (a) f (b) 3 (c) -2/7
a
Let s = -138 - -1244/9. Let w = s - 19/45. What is the biggest value in -0.4, 2/13, w?
2/13
Let y = -9 - -20. Let u = 11.8 - y. Let n = 0.2 + u. Which is the second biggest value? (a) n (b) -1/5 (c) 2
a
Let s(q) = q + 6. Let x be s(-8). Let h be (x/(-14))/((-4)/8). Which is the second smallest value? (a) -0.1 (b) h (c) -0.3
b
Let g(p) = p**2 - 4. Let h = 4 - 1. Suppose h*v = 2*u + v - 14, -v = 3*u - 5. Let z be g(u). Which is the third biggest value? (a) -0.5 (b) z (c) -2/13
a
Let p = 46/109 + 39044/981. Let d = p + -40. Which is the second smallest value? (a) 0.1 (b) d (c) 5
b
Let s be 1/10*1*2. Let w be (-6)/(-9)*(-21)/56. Which is the third biggest value? (a) -2 (b) w (c) s
a
Let i = -5.07 + 0.47. Let f = i - -5. Let m = -33.1 - -33. Which is the biggest value? (a) 1 (b) f (c) m
a
Let y = -0.015 - 4.985. What is the second biggest value in -2/5, 4/3, y?
-2/5
Let o = -4.034 + 0.034. Which is the fourth smallest value? (a) -3 (b) o (c) 0 (d) 4
d
Let m = 2.48 - -0.82. Let u = m - 3. What is the third smallest value in -0.3, 0, u?
u
Suppose 6*t = 3*t - 18. Let z be ((-80)/(-15) - 6) + (-3)/9. Let v = t - z. Which is the second smallest value? (a) 5 (b) -2 (c) v
b
Let m = -18 + 28. Let q = m + -14. Which is the second smallest value? (a) 2 (b) 5 (c) q
a
Let w = -0.1 - 0.1. Which is the biggest value? (a) 2/9 (b) 1/2 (c) w
b
Suppose n = 2*n - 4. Let o = 2.9 - -1.1. Let p = o - 4.2. Which is the second biggest value? (a) n (b) -0.3 (c) p
c
Suppose 2*v - 5*v + 2*y = -19, -2*v + 3*y + 21 = 0. Let b be (-2)/(-10 + v - 3). Let l be (2/(-7))/(4/6). What is the second biggest value in b, l, 1?
b
Let y = -1.4 + 1.45. Let u = -251/102 - 2/51. What is the smallest value in -0.5, u, y?
u
Let y(d) = d**3 - 4*d**2 + 2*d - 6. Let w be y(4). Let p(i) = -2*i**2 + 2*i - 1. Let k be p(w). Which is the second biggest value? (a) -1/2 (b) -3 (c) k
b
Let z = 48 - 33. Let q = 12 - z. Let a = -3 - -2.5. What is the biggest value in a, 3, q?
3
Let r = 0.42 + -0.02. Let d = -305/3 - -103. Which is the smallest value? (a) -1/4 (b) r (c) d
a
Let m be 1/(-2) - 1695/8. Suppose v + 5*l - 2*l + 212 = 0, 3*v = 4*l - 636. Let k = v - m. Which is the third smallest value? (a) 5 (b) 0.5 (c) k
a
Let r = -1 - -5. Let q = 3 - r. Let h be (-2)/1 + 64/34. Which is the second smallest value? (a) -3/5 (b) h (c) q
a
Let w = -6 - -2. Suppose 2*t = -4*n - 4, 4*n + 4*t = 9*n - 8. What is the second biggest value in w, 0.3, n?
n
Let x = -0.9 - -0.3. Let s = -1.1 - x. Let r = 4 + -6. Which is the biggest value? (a) r (b) 4 (c) s
b
Let p = -0.44 - -0.42. Which is the fourth smallest value? (a) 1/3 (b) 4 (c) p (d) 0.3
b
Let t = 0.7 - 0. What is the second smallest value in t, 0.3, -4?
0.3
Suppose -5*o + 13 - 3 = 0. Which is the second smallest value? (a) -5 (b) o (c) -2/7
c
Let l = 0.53 - -0.07. Let d = 0.1 - l. Let p = 2 - 1.8. What is the second biggest value in p, d, -0.1?
-0.1
Let s(n) = n + 1. Let i be s(1). Let p = 0.05 - 0.04. Let r = p - 0.06. Which is the smallest value? (a) r (b) i (c) 1
a
Suppose v - 3*p = 0, 3*p + 1 + 5 = 3*v. Let z = -4.2 + 0.2. Let a = -0.3 - 0.2. What is the biggest value in z, a, v?
v
Let p = -76/85 + 5/17. Which is the third biggest value? (a) p (b) 1/7 (c) -4
c
Let o = 360 - 362. Let r = 5.94 - 6. Let z = -3.06 - r. Which is the second smallest value? (a) 0.3 (b) o (c) z
b
Let b = -2.9 - -2. What is the biggest value in 2, -3, b?
2
Let t = -69.5 + 70. Which is the second smallest value? (a) -2 (b) 0.4 (c) t
b
Let l = 2.4 - 2. Let q = l - 0.3. Let o = q - 0.2. What is the smallest value in 2, 1, o?
o
Let v be (1/(-3))/((-1)/(-3)). What is the third smallest value in v, -2/3, 2?
2
Let w be 3 + 0 - 40/16. What is the smallest value in -6, -2/7, w, 0.2?
-6
Let c be 1 + (2 - (-18)/(-7)). Let r be 3 + (-62)/12 - -2. What is the third biggest value in r, -0.1, c?
r
Let o be 0/(-3) + (-2)/9*-3. What is the second biggest value in 4, -7, o?
o
Let a be 4 + (-1)/(3/12). Let k = 4.96 + 0.04. What is the smallest value in k, 2, a?
a
Let i be 41/13 + -3 - 96/(-52). Which is the second smallest value? (a) i (b) 0 (c) 5 (d) 3
a
Let v = -5.55 - -2.55. Let z = 0.02 + -4.02. Which is the smallest value? (a) 2 (b) v (c) z
c
Let j = -5 - -4.5. Let m = j - -1.5. What is the second biggest value in -2/9, m, -3?
-2/9
Let f = -11 + 8. Suppose 104 - 20 = -3*n. Let y be 3 - (228/n)/(-3). Which is the second biggest value? (a) -1/5 (b) y (c) f
a
Suppose -134 = 5*t - 3*r, 0 = -3*t + 5*r - 97 + 7. Let o be -2 - -3 - (-30)/t. What is the third biggest value in 1, o, 1/8?
o
Let h = -115 - -119. Let n = 0 + 4. Suppose -n*l = -2*l + 2. Which is the third smallest value? (a) h (b) l (c) -1/2
a
Let g be 1 + -2 + 7/6. Let x = -1.23 + 1.3. Let u = -0.13 - x. Which is the third smallest value? (a) u (b) g (c) 4
c
Let z = -0.2 - 2.8. Let n = -4 - -14. Suppose -y - n = y. Which is the biggest value? (a) z (b) 3 (c) y
b
Let v = 109 - 107.16. Let s = -1.9 + v. Which is the second smallest value? (a) -3 (b) s (c) -1
c
Let r = -95 - -280/3. Which is the second biggest value? (a) 2/3 (b) -2/5 (c) r
b
Let i be (-156)/705 - (-2)/10. Let y = i + 50/141. What is the third smallest value in -4, 2, y?
2
Let l = 8/5 + -9/5. Let m = -23/2 - -12. Which is the second biggest value? (a) 0.1 (b) l (c) m
a
Let y be (-164)/(-340) - (-3)/(-5). Let s = 41/14 - 3/7. Which is the second smallest value? (a) -5/2 (b) y (c) s
b
Let v = -0.3 - -0.32. Let w = v - 0.05. Let b = w - -3.03. What is the second biggest value in b, 1/2, -4/5?
1/2
Let i = -27 - -23.6. Let v = 0.6 - i. Let t = 0 + v. Which is the third biggest value? (a) -0.2 (b) -1/3 (c) t
b
Let k = -5 - -9. Let s = k - 3.7. Let x = s - -3.7. What is the smallest value in -1/5, 1/5, x?
-1/5
Let g = -0.12 - 0.22. Let z = g + -0.06. Let l be (-4)/2 - (0 + 2). Which is the third biggest value? (a) l (b) z (c) -1
a
Let h = 1.2 - 1. Which is the smallest value? (a) -0.1 (b) h (c) -3
c
Let f(w) = 2*w - 20. Let x be f(11). Let u be 4/14*(-3)/(-2). Which is the biggest value? (a) 0.1 (b) x (c) u
b
Suppose 2 = 5*j - 3. Let h = 3.02 + -0.02. Let d = h - 3.4. Which is the second biggest value? (a) d (b) 3 (c) j
c
Suppose -5*f + 24 = 4. Let x be 344/28 - f/14. Let m be 2/(-4) - (-14)/x. Which is the second biggest value? (a) -0.4 (b) m (c) -4
a
Let y = 6 - 8. What is the second smallest value i
|
{
"pile_set_name": "DM Mathematics"
}
|
f 2770 and 350?
10
Calculate the greatest common factor of 185 and 409775.
185
Calculate the greatest common factor of 1055780 and 10.
10
Calculate the greatest common divisor of 151653 and 21.
3
What is the highest common divisor of 676221 and 42?
21
Calculate the highest common factor of 247 and 171.
19
What is the greatest common divisor of 133217 and 7?
7
What is the greatest common factor of 16837 and 55279?
149
What is the highest common factor of 108298 and 11894?
626
Calculate the greatest common factor of 709244 and 8992.
1124
Calculate the highest common divisor of 3558832 and 64.
16
Calculate the greatest common factor of 2556 and 1704.
852
What is the highest common factor of 1749 and 3516656?
583
Calculate the greatest common factor of 36069 and 341.
11
What is the greatest common factor of 8342 and 172?
86
Calculate the highest common factor of 56 and 2200.
8
Calculate the greatest common factor of 36 and 79752.
12
Calculate the highest common factor of 98300 and 125.
25
What is the greatest common factor of 44958 and 5841?
177
What is the greatest common divisor of 336 and 5488?
112
Calculate the highest common factor of 27029 and 20989.
151
Calculate the greatest common factor of 700 and 252.
28
Calculate the greatest common divisor of 1535 and 61707.
307
What is the highest common factor of 140 and 120316?
28
What is the highest common divisor of 6862 and 730?
146
What is the highest common divisor of 696 and 493290?
174
What is the greatest common divisor of 344 and 1978?
86
What is the highest common divisor of 10465034 and 394?
394
Calculate the greatest common divisor of 74550 and 966.
42
Calculate the highest common factor of 446085 and 900.
45
Calculate the highest common factor of 10098 and 540.
54
What is the highest common factor of 427 and 158173?
61
Calculate the greatest common factor of 18 and 44874.
18
What is the greatest common divisor of 113975 and 50?
25
Calculate the highest common factor of 2002 and 2782.
26
What is the highest common divisor of 26090 and 20?
10
Calculate the highest common divisor of 40260 and 1848.
132
What is the greatest common factor of 240 and 40930?
10
Calculate the greatest common factor of 551361 and 51.
51
Calculate the highest common factor of 8568 and 43008.
168
What is the highest common divisor of 1288 and 175?
7
What is the highest common factor of 40 and 559320?
40
What is the highest common factor of 192 and 867264?
192
What is the highest common divisor of 381 and 39?
3
Calculate the highest common divisor of 119206 and 646.
38
Calculate the greatest common factor of 18533 and 387.
43
What is the greatest common divisor of 2391455 and 165?
55
Calculate the greatest common divisor of 2078300 and 56.
28
What is the highest common divisor of 824 and 258118?
206
What is the highest common divisor of 4 and 123314?
2
What is the greatest common divisor of 3131 and 101?
101
Calculate the highest common divisor of 2484 and 32148.
36
What is the highest common factor of 946 and 7002292?
946
What is the highest common factor of 26272 and 928?
32
Calculate the highest common factor of 403 and 992.
31
What is the greatest common factor of 4418 and 49914?
94
What is the greatest common factor of 24 and 5931?
3
Calculate the greatest common divisor of 12 and 25876.
4
What is the highest common divisor of 846 and 8084?
94
What is the highest common factor of 40 and 293872?
8
Calculate the greatest common factor of 345300 and 75.
75
Calculate the greatest common divisor of 252 and 74484.
36
Calculate the greatest common factor of 54720 and 400.
80
Calculate the highest common factor of 495427 and 381.
127
Calculate the greatest common divisor of 517840 and 32.
16
Calculate the highest common divisor of 89997 and 3435.
687
Calculate the highest common divisor of 4814 and 43964.
58
Calculate the greatest common factor of 2852300 and 2200.
1100
What is the greatest common divisor of 168315 and 441?
147
Calculate the highest common divisor of 2921345 and 35.
35
Calculate the greatest common factor of 64 and 5728.
32
Calculate the highest common factor of 800 and 95776.
32
Calculate the greatest common factor of 181010 and 460.
230
What is the highest common divisor of 19656 and 84552?
312
Calculate the highest common factor of 12 and 4308.
12
What is the greatest common factor of 2786 and 266?
14
Calculate the highest common divisor of 104 and 3523.
13
Calculate the highest common factor of 190722 and 12.
6
Calculate the highest common divisor of 249953 and 1023.
341
Calculate the greatest common factor of 381 and 25951053.
381
What is the greatest common divisor of 121 and 142780?
121
What is the highest common factor of 788544 and 74?
74
What is the greatest common divisor of 43670 and 165?
55
Calculate the highest common factor of 90400 and 12800.
800
Calculate the highest common divisor of 255 and 201.
3
Calculate the highest common factor of 136 and 30311.
17
What is the greatest common factor of 56 and 4298?
14
Calculate the highest common divisor of 386 and 370.
2
Calculate the highest common factor of 1728 and 80448.
192
What is the highest common divisor of 377 and 45617?
377
Calculate the highest common factor of 84 and 87276.
84
What is the highest common divisor of 232 and 1566?
58
What is the highest common divisor of 40944 and 672?
48
Calculate the highest common factor of 54 and 22815.
27
Calculate the highest common divisor of 188134 and 19402.
218
What is the greatest common factor of 615 and 15327645?
615
Calculate the greatest common factor of 98 and 163366.
98
Calculate the highest common factor of 38 and 357238.
38
What is the greatest common divisor of 990816 and 44?
4
Calculate the highest common factor of 316 and 274209.
79
What is the greatest common divisor of 6919 and 2414?
17
What is the greatest common divisor of 75 and 467350?
25
What is the greatest common divisor of 7 and 4039?
7
What is the highest common factor of 26061 and 53217?
219
Calculate the highest common factor of 144 and 22038.
6
What is the greatest common divisor of 58374 and 28566?
1242
Calculate the highest common divisor of 1273728 and 192.
192
Calculate the greatest common divisor of 693 and 671.
11
Calculate the greatest common divisor of 623 and 15.
1
What is the highest common divisor of 5922 and 288?
18
Calculate the highest common factor of 3151339 and 3594.
599
What is the highest common factor of 25975 and 469628?
1039
What is the highest common factor of 51857 and 78?
13
What is the greatest common factor of 138 and 6168?
6
Calculate the highest common divisor of 40626 and 200466.
666
What is the greatest common divisor of 133446 and 39?
3
Calculate the highest common divisor of 403 and 11531.
13
What is the highest common divisor of 320934 and 30?
6
Calculate the greatest common factor of 32636 and 54924.
796
What is the highest common factor of 208 and 224016?
208
What is the highest common factor of 24205 and 135?
5
What is the greatest common divisor of 164 and 128?
4
What is the highest common factor of 2964 and 364?
52
Calculate the greatest common divisor of 55959 and 46.
23
What is the highest common divisor of 34732 and 266?
38
What is the highest common factor of 7930 and 3250?
130
Calculate the highest common divisor of 869 and 7282.
11
What is the highest common divisor of 166628 and 3234?
154
Calculate the greatest common factor of 6224 and 1048.
8
What is the greatest common divisor of 4935 and 10955?
35
What is the highest common divisor of 1722 and 713482?
574
Calculate the highest common divisor of 5372 and 363716.
316
What is the highest common factor of 1970 and 8?
2
What is the highest common factor of 13 and 1746719?
13
Calculate the greatest common factor of 1830 and 3170.
10
What is the highest common divisor of 141913 and 4202?
191
What is the highest common divisor of 1939916 and 44?
44
What is the greatest common factor of 906919 and 52?
13
Calculate the greatest common factor of 86700 and 84.
12
Calculate the highest common factor of 531910 and 1075.
215
What is the greatest common factor of 240366 and 18624?
582
Calculate the greatest common factor of 772334 and 124.
62
What is the greatest common divisor of 42 and 270942?
42
What is the greatest common
|
{
"pile_set_name": "DM Mathematics"
}
|
+ y - 24 = -d*g. Suppose 9 = 5*o - 4*x, 7*o - 2*o + 3*x = y. Are -0.1 and o non-equal?
True
Let v be (4 - (-5)/(-2))/(6/40). Suppose 46 = -7*d - v. Is -48/7 < d?
False
Let g = -30 - -30.3. Let n = 6.969 + 0.131. Let p = n - 7. Which is smaller: g or p?
p
Let u be 1 + 10/5 + 1252/(-6). Is u < -207?
False
Let b(y) = -y - 16. Let x be b(-7). Do x and 0.03 have different values?
True
Let m = 60 + -55. Suppose 6*b - m*b + 65 = 0. Which is smaller: -66 or b?
-66
Let h = 32 - 158/5. Suppose 0 = 5*m - 9*m + 2*a - 22, -4*a + 20 = -4*m. Which is smaller: m or h?
m
Let y be 4 - (3 - (4 + -2)). Suppose -y = 5*z - 23. Let l = z + -4. Is l bigger than 1/5?
False
Let s = 105 - 73. Let v = -23 + s. Let f = -8 + v. Are f and 5/6 nonequal?
True
Let k = 1 - 0. Let f be (184/(-2))/(3 + 0). Let r = f - -30. Which is smaller: k or r?
r
Suppose 3*h + 0*h = 0. Let m be (-2182)/(-8)*28/77. Let c = m - 99. Is h equal to c?
False
Suppose 0 = -24*w - 2653 - 11. Is -111 less than w?
False
Let o = 327.26 + -331. Is o less than 1/4?
True
Suppose y - 7 = 26. Suppose 3*o = -2*j + 1, 32 = 3*o - 4*j + 7. Let h be (-1)/o + (-319)/y. Is h at most -9?
True
Let f be (-2829)/132 + 14 + (-10)/(-8). Is f at most as big as 2?
True
Let z be (-132)/(-308) + (-3)/7. Which is bigger: 1/66 or z?
1/66
Let z be (-63)/(-70) - (-4 - (-4 + -1)). Let q(c) = c - 3. Let u be q(3). Is u at least z?
True
Let f = 34 + -27. Let r be f/3 + (-2)/6. Suppose -a + r*a - 14 = 0. Is a > 14?
False
Let q be -6 + 7 + 15/(-42). Which is greater: 0 or q?
q
Let n(f) = -f**3 + 5*f**2 + 7*f - 13. Let q be n(6). Suppose 5*y = 5*t + 45, -2*t - y = -5*t - 31. Which is smaller: t or q?
t
Let d = -430 + 3868/9. Which is bigger: -19 or d?
d
Let f = -28419215/7 + 3213143912/791. Let b = -2241 + f. Which is greater: b or -1?
b
Let y = 9896 - 39293/4. Which is smaller: 73 or y?
y
Suppose 5*h + k = -20, -h - 4 = -5*k - 0. Let q be (-155)/(-15) - -5 - (-8)/12. Let o be h/q - 183/(-156). Which is greater: 2 or o?
2
Suppose -v - v + 13 = -5*k, 2*v - 4 = 2*k. Is k smaller than -48/29?
True
Let v be -27*(5 - (-8)/(-2)). Let o = 30 + v. Suppose g + 5 = -j + 4*g, o*g = 4*j + 29. Is -8 at most j?
True
Let a = -14 - -34. Suppose -47*x = -49*x + 68. Let f = x + -13. Is f < a?
False
Suppose -15 = c - 4*h, 2*h - 249 = 2*c - 243. Let a = -11471/11 + 1045. Which is greater: c or a?
a
Suppose 0*a + 6*a = 30. Let t(h) = -2*h - 1. Let r be t(-3). Is a at least r?
True
Let h = 1462/3 + -482. Let m = h + -92/9. Are -5 and m unequal?
True
Let o = 238907/23 - 10389. Which is smaller: o or -1?
o
Let c(b) be the third derivative of b**5/30 - b**4/24 + b**2. Let n be c(2). Suppose 9 - 4 = m. Which is greater: n or m?
n
Suppose 4*x - 10 - 6 = 0. Let d = 21 + -19. Let a = d - 5/3. Which is smaller: a or x?
a
Let s = -1.1 + -8.9. Let d = 0 + s. Let a = -11 - d. Which is smaller: a or 4?
a
Let s = 460 - 283. Which is smaller: s or 178?
s
Let i(l) = 2*l**2 + 4*l + 6*l**3 - 3*l - 13*l**3. Let k be i(-1). Is k >= 9?
False
Let t(z) = 4*z + 7. Let l be t(0). Suppose 3*k = -3*v - l - 71, -v = -5*k - 136. Let w be 274/(-10) - 2/(-5). Are w and k non-equal?
False
Suppose 2*i + 2356 = 2522. Which is smaller: i or 87?
i
Let v(k) = k**2 + 20*k + 19. Let n be v(-1). Are 3/92 and n equal?
False
Let m(r) = -5*r + 90. Let o be m(18). Which is smaller: o or -1/38?
-1/38
Let a = -197.1 + 197. Which is bigger: a or 187?
187
Suppose -q - 1471 + 419 = -5*c, 4*q - 4*c + 4192 = 0. Let w = q - -87947/84. Which is greater: 2 or w?
2
Let u(s) = -s**2 - 17*s + 9. Let a = 128 + -145. Let v be u(a). Let c be 1/(-2) + (-30)/(-4). Is v at most as big as c?
False
Let d = 644 + -503. Which is bigger: 139 or d?
d
Let j = -223 - -163. Which is smaller: j or -58?
j
Let m = 120.2 + -117. Let n be (1 - (-4)/(-3))/((-15)/10). Which is smaller: m or n?
n
Let k(r) = r**2 + 6*r - 10. Let w be k(-8). Let m be (0 - 0)*((-20)/(-4) - w). Is -1.9 greater than m?
False
Let q = 1368 - 1251. Is q less than or equal to 118?
True
Let a be ((-84)/56)/((-333)/(-4)). Are a and 1/8 non-equal?
True
Suppose 0 = -n + 11 - 3. Suppose -5*s = -27 - n. Which is greater: 9 or s?
9
Suppose 3*u = -w - 4, u + 5*w - 10 = -30. Suppose l + l - 6 = 0. Is u <= l?
True
Suppose -4*n + 3*t = 20, -3*t = -2*n - 8*t - 10. Let g be 4 + n + (-62)/(-68). Is g less than or equal to -1?
False
Let f = 56 - 17. Let p = f + -40. Let z be ((-30)/(-24))/(2*-1). Is z equal to p?
False
Let u(n) = 8*n + 11. Let v(m) = -7*m - 12. Let c(o) = -6*u(o) - 5*v(o). Let s be c(2). Is s greater than or equal to -31?
False
Let p = -755053 - -20390212/27. Let b = -140 + p. Which is bigger: 0 or b?
b
Let f(k) = k**2 + 4*k - 3. Let o be f(-4). Let v = o - -13. Which is smaller: 9 or v?
9
Let d be 2027/(-3) + 8*(-4)/24. Are d and -677 unequal?
False
Let c(w) = -2*w**2 + 3. Let l be c(-3). Let t(g) = g**2 + 7*g - 18. Let i be t(-10). Let a be -5*(-1)/(l/i). Is -3 equal to a?
False
Suppose 0*u - u = 5*o + 1019, o = 3*u - 191. Let f be ((-3)/(-5))/(o/35 + 6). Does f = 3?
True
Suppose 58 = 2*b + 4*z, 4*z = -3*b - 0*b + 83. Let l = b + -11. Let f be l/(-4)*(-18)/(-45). Which is smaller: -2 or f?
-2
Let w = 180620 + -2711159/15. Let l = w - -124. Is 0 bigger than l?
False
Suppose 0 = -2*n - 10, g - 3 = 5*n - 2. Let k = g + 23. Which is smaller: 1/62 or k?
k
Let q(h) = h**2 - 10*h + 21. Let m be q(3). Let s = 4674/7 + -669. Is m > s?
True
Let j be 33/132 - 189/4. Is j at least -47?
True
Let f(h) = -h**2 - h. Let l = -38 + 28. Let a(j) = j**2 + 9*j - 11. Let v be a(l). Let g be f(v). Is g greater than 1/6?
False
Suppose -2*a = -3*a - 4*m - 20, 0 = 4*m + 8. Let z be ((-2)/a)/((-44)/(-462)). Suppose 3 - 7 = -4*j. Do z and j have the same value?
False
Let u = -24 - -28. Suppose -3*h + 2*h + u*m = 0, 3*h = -m. Suppose a = 5*p - 9 - 1, h = 5*a - p - 22. Is 3 smaller than a?
True
Let r be 2 - -18 - 14/7. Let c be (-20)/r + 4/6. Is c at least as big as 0?
False
Let f be 8 - -98*20/(-242). Is f less than 0?
True
Let m = 0.3095 - 0.1095. Are m and -345 nonequal?
True
Let h(g) = -2*g**2 - 32*g - 216. Let d be h(-21). Is d at most as big as -427?
False
Let s be (-6)/15 + (-516)/(-15). Suppose -3*c + 13 = s. Is c at most -6?
True
Suppose -s - 37 - 120 = 0. Let u = s - -226. Is 69 at least u?
True
Let g be (-1014)/36 - (-2)/12. Let y(o) = -3*o**2 - 83*o + 41. Let d be y(g). Which is smaller: 9 or d?
9
Suppose 0 = -7*m + 600 - 6984. Let r = m + 57458/63. Which is smaller: 0 or r?
0
Let f = 509/7 - 78. Let o = 20 - 25. Which is greater: f or o?
o
Let v = -1299 - -1294. Is -18/5 smaller than v?
False
Let z(u) = u**3 + 2*u**2 + u + 6. Let i be z(-3). Let q be i/(1 + (2 - 5)). Which is greater: q or 1.2?
q
Suppose 5*t + 5*z - 50 = 0, 0 = -3*t - 0*z + 4*z + 9. Let i be ((-12)/4)/6 - (-5)/2. Suppose -n + i + 4 = 0. Which is smaller: n or t?
n
Let s = -11 - -4. Suppose 2*f + 42 = -40. Let z = f + 33. Is z < s?
True
Let v = 34.1 + -94.1. Which is greater: v or 2/7?
2/7
Let w be 5*(2 + 54/(-15)). Let c = 13 - 23. Which is bigger: c or w?
w
Let x = 0.91 - 26.51. Let v = -25 - x. Is v greater than or equal to 2?
False
Let p = 2 + 1. Let b = p - -2. Suppose 7*j - 5*j = 10. Is b greater than j?
False
Suppose 13*f - 1049 = -971. Which is smaller: f or 148/29?
148/29
Let a be (-2 - (-20)/6)*3. Suppose 4*x - 5*x + 17 = 4*u, 2*u - a = 4*x. Let w be 6/(-6) - u/2. Do -2 and w have different values?
True
Let h = 126 - 56. Let b = h - 116. Which is smaller: b or 2/7?
b
Let x(y) = -y**3 - 23*y**2 - 21*y + 16. Let u be x(-22). Let t = -12 + 5. Which is smaller: u or t?
t
Let a = 0.1043 - 0.8043. Does -9/4 = a?
False
Let w be 1628/185 - (22/(-10) - -2). Suppose -24 = -4*b + 2*b. Are w and b equal?
False
Let i = 18 + -12. Suppose 0 = 4*s - i - 6. Suppose -q - s = 2*u - 5, q - u - 5 = 0. Which is bigger: 0 or q?
q
Suppose 0 = 4*z + a - 3*a - 2, 0 = -5*z + 5*a + 10. Are 2/1421 and z nonequal?
True
Let h = -2 - -1. Let n = h + 0.5. Let d = 4552/7 - 650. Which is bigger: d or n?
d
Suppose -32*l = -33*l - 2. Let n be ((-2)/(-8)*l)/(3/(-264)). Which is bigger: n or 0?
n
Let w be 10/(-3) + (-20)/30. Let d be 2*(w/8 + 0). Let v = 1/273 + -293/5460. Which is smaller: v or d?
d
Let m = 91 - 92. Are -140 and m equal?
False
Let l = 137 + -135. Is -5 > l?
False
Let j = 3620/3 + -1235. Which is smaller: -29 or
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*n**2. Let b(f) = -4686693*f. Determine y(b(w)).
-65895273828747*w**2
Let c(t) = -5*t**2. Let u be 56/21 + 18/(-27). Let p(h) = -21*h**2 - 22*h**2 + h**u. What is c(p(j))?
-8820*j**4
Let p(k) = 354*k - 51. Let s(z) = 68*z - 10. Let j(n) = -4*p(n) + 21*s(n). Let o(t) = 14*t**2. Calculate j(o(d)).
168*d**2 - 6
Let q(m) = 29*m**2 - 5*m + 5. Let a(b) = -40*b**2 + 7*b - 7. Let n(r) = -5*a(r) - 7*q(r). Let z(d) = 729*d. What is n(z(f))?
-1594323*f**2
Let o(v) = -v**2. Let k(d) be the third derivative of -d**5/60 - 265*d**3/6 - 2341*d**2. Calculate o(k(l)).
-l**4 - 530*l**2 - 70225
Let x(a) = -2*a**2 + 17*a**2 + 9*a**2 - 2*a**2. Let c(u) = 5*u + u + 11 - 14 + 3. Determine c(x(o)).
132*o**2
Let a(v) be the first derivative of v**2 + 2193. Let j(n) = -11*n + 9. Let m(w) = 12*w - 10. Let h(c) = -4*j(c) - 3*m(c). Calculate a(h(l)).
16*l - 12
Let x(z) = z**2 - 2*z - 10. Let k(j) = -j**2 + 3*j + 15. Let q(d) = 4*k(d) + 6*x(d). Let l(f) = -899 + 123*f + 899. Give l(q(t)).
246*t**2
Let w(k) = -3*k**2 + 5*k**2 - 7 - 3*k**2. Let v(a) = 2. Let d(c) = 14*v(c) + 4*w(c). Let g(p) be the second derivative of -p**3/3 + 473*p - 1. What is d(g(r))?
-16*r**2
Let i(f) be the first derivative of -f**3/3 + 21. Let x(r) = -r**2 + 73 - 13 + 0. What is x(i(a))?
-a**4 + 60
Let g(u) = -2*u + 140598. Let i(h) = 12*h. What is i(g(b))?
-24*b + 1687176
Let h = 421 + -418. Let c(r) = 2 - 1 - 5 + h*r + 4. Let i(f) = 18*f**2. What is i(c(j))?
162*j**2
Let b(m) = 2474*m. Let q(z) = -48832 + 97668 - 48836 - z. Calculate b(q(f)).
-2474*f
Let x(h) be the first derivative of -h**3/3 + 3*h**2 + 3. Let f(n) = -522*n**2 - 519*n**2 + 1043*n**2. Calculate x(f(q)).
-4*q**4 + 12*q**2
Let b(c) = -4*c**2. Let p(y) = -3986872*y. Determine b(p(h)).
-63580593377536*h**2
Let w(q) = 16*q + 1. Let m(v) = -74*v - 8. Let o(z) = 3*m(z) + 24*w(z). Let u(p) = -19*p**2. Determine o(u(l)).
-3078*l**2
Let o(l) = 3331*l. Let d(i) = 83*i - 15. What is o(d(y))?
276473*y - 49965
Let k(j) = 24*j**2 + 14*j. Let u(d) = -5*d**2 - 3*d. Let q(z) = 3*k(z) + 14*u(z). Suppose -9 + 4 = -y. Let c(a) = a - 4*a + 14*a - y*a. What is c(q(o))?
12*o**2
Let k(c) be the second derivative of -34*c**3 + 432*c - 1. Let o(r) = 1. Let u(l) = -l**2 - 1. Let j(g) = 3*o(g) + 3*u(g). Determine j(k(z)).
-124848*z**2
Let m(z) be the second derivative of 7*z**3/3 - 22*z. Let b(y) be the second derivative of 2/3*y**3 + 0*y**2 + 0 - 42*y. What is b(m(u))?
56*u
Let p(w) be the first derivative of -8*w**2 - 3*w - 4744. Let r(s) = 71*s. Give p(r(t)).
-1136*t - 3
Let n(k) be the second derivative of -61*k**3/6 + 895*k. Let y(j) = -12*j**2. Give y(n(l)).
-44652*l**2
Let f(s) = 16*s**2 + s. Let j(w) = w**2 - 11. Let z(b) = 4*b**2 + 44. Let x(v) = 20*j(v) + 5*z(v). What is f(x(u))?
25600*u**4 + 40*u**2
Suppose 0 = 64*j + 221*j - 570. Let v(a) be the third derivative of 0*a - 3/10*a**5 + 0*a**4 + 2*a**j + 0*a**3 + 0. Let z(m) = -2*m. Calculate z(v(f)).
36*f**2
Let b(n) = -4*n + 20227997506 - 20227997506. Let h be (0 - -2) + 4/(-2). Let k(y) = h*y - 4*y - 4*y. Determine b(k(d)).
32*d
Let p(n) = 2*n. Let u = -2 + 12. Suppose -5*s = 5*w - 270 - 230, 4*w = 3*s - 321. Let x(m) = u*m - s + 103. What is x(p(h))?
20*h
Let q(g) = 2249637*g**2 - 3*g. Let b(z) = -205*z. Calculate b(q(o)).
-461175585*o**2 + 615*o
Let f(m) be the second derivative of -779*m**4/12 - 1177*m. Let c(i) = 10*i**2. Calculate f(c(x)).
-77900*x**4
Let x(k) be the second derivative of 23*k**4/12 + 3767*k - 1. Let y = 0 - -2. Let n(o) = -2*o + 5*o - y*o. What is x(n(u))?
23*u**2
Let f(k) = 11*k - 8. Let v(t) = 3 + 2 - 4*t - 4 + 2. Let d be (-4)/(-10)*(-25 - -5). Let h(m) = d*v(m) - 3*f(m). Let o(c) = -2*c. Calculate h(o(b)).
2*b
Let o(v) be the third derivative of v**4/24 - 2*v**2 - 2*v - 108. Let b(s) be the second derivative of -19*s**4/12 - s. Calculate b(o(p)).
-19*p**2
Let p(t) = 11*t. Let n(k) = -643*k**2 - 55*k + 1. Determine p(n(f)).
-7073*f**2 - 605*f + 11
Let q(s) = 142*s**2 - s. Let t(r) = 1872*r. What is q(t(y))?
497622528*y**2 - 1872*y
Let z(h) = -31*h - 37. Let x(y) = -23*y**2 - 34*y - 34. Let p(o) = 4*o**2 + 6*o + 6. Let b(v) = -34*p(v) - 6*x(v). Determine z(b(a)).
-62*a**2 - 37
Let d(z) = z**2. Let t(n) = -247*n**2 - 102*n**2 - 150*n**2 + 32*n**2. Determine t(d(w)).
-467*w**4
Let c(m) = -2*m + 13. Let t(i) = 31*i**2 + 18*i - 505. Calculate t(c(b)).
124*b**2 - 1648*b + 4968
Let h(y) = 4287*y + 4. Let r(a) = -2808*a. Calculate h(r(w)).
-12037896*w + 4
Let p(x) = 532*x. Let g(v) = 16666*v + 4*v**2 - 16666*v. Determine p(g(z)).
2128*z**2
Let k(g) = -5*g**2. Let p(j) = j + 1. Suppose -6*v + 1139 = 77. Let n(r) = 180 - r + 2*r - v. Let z(y) = n(y) - 3*p(y). Give z(k(i)).
10*i**2
Let k(i) = -18*i**2. Let t be 5/((5/(-3))/(-5)). Let r(a) = 2*a + 5*a + 6*a - t*a. Give r(k(g)).
36*g**2
Let y(l) = l. Let a(b) = 10*b**2 + 3143020*b - 3143021*b + 2 - 2*b**2. Determine y(a(w)).
8*w**2 - w + 2
Let f(u) = 33*u. Let a(y) be the third derivative of -y**8/6720 + y**5/30 - 7*y**3/2 + y**2 + 5. Let j(l) be the third derivative of a(l). Give f(j(o)).
-99*o**2
Let d(m) = 5*m + 20. Let p(n) = -5. Let k(h) = d(h) + 4*p(h). Let z(j) = 26*j + 3. Give k(z(y)).
130*y + 15
Let n(x) be the second derivative of -x**3/6 + 8*x. Let s(i) be the second derivative of -i**3/3 - 9*i**2/2 + 532*i. Calculate n(s(q)).
2*q + 9
Let s = -391 + 393. Let y(f) = 126*f**2 + 20*f**2 + 6*f**s. Let p(v) = -v. What is p(y(q))?
-152*q**2
Let c(t) = 988126*t**2. Let p(v) = -v. Calculate c(p(i)).
988126*i**2
Let t(n) = 7*n - 17. Suppose 5*i - 997 = -612. Let s(b) = -27*b - 23*b - 29*b + i*b. Determine t(s(m)).
-14*m - 17
Let j(x) = x - 2*x + 2*x. Suppose -14 = 4*t - 46. Let l(u) = -t*u + 14*u - 18*u - 20*u. Give l(j(d)).
-32*d
Let r(d) = -1108*d. Let j(x) be the third derivative of x**5/30 - x**2 + 144. What is j(r(k))?
2455328*k**2
Let m(c) be the third derivative of c**4/24 + 225*c**2. Let h(f) be the third derivative of 91*f**4/12 - f**3/3 + 2*f**2. Determine m(h(k)).
182*k - 2
Let j(b) = 115*b - 23. Let z(f) = -19*f + 4. Let r be 8127/(-351) - (-4)/26. Let q(h) = r*z(h) - 4*j(h). Let w(s) = s**2. Give q(w(k)).
-23*k**2
Let y(r) = 226*r**2. Let m(a) = 221981*a. Determine m(y(z)).
50167706*z**2
Let n(g) = -4*g. Let b(j) be the third derivative of 23*j**4/6 - 1522*j**2 - 2*j. What is n(b(m))?
-368*m
Suppose 0 = -4*k + 3*k + 2. Let y(o) = -12*o + 3*o**k - 4*o**2 + 12*o. Let m(i) = 0*i - i + i - 16*i**2. Give m(y(z)).
-16*z**4
Let b(h) = -113*h. Let c(o) = -5*o**2 - 2*o**2 + 5487*o - 5487*o. What is c(b(s))?
-89383*s**2
Let k(s) be the third derivative of 5*s**6/144 + 2*s**4/3 - 9*s**2. Let h(o) be the second derivative of k(o). Let x(a) = -7*a - 11*a + 17*a. Determine h(x(m)).
-25*m
Let m(r) = -10317*r**2. Let h(s) = -3172*s. Determine m(h(w)).
-103805362128*w**2
Let c(o) = -6033*o**2. Let d(l) = -38180 + 19087 + 19093 + 4*l - 3*l. Give c(d(i)).
-6033*i**2
Let t(n) = -n - 1. Let x(f) = -20*f - 24. Let v(j) = -24*t(j) + x(j). Let b(d) = 788*d**2 + 2696 - 803*d**2 - 2696. Determine v(b(q)).
-60*q**2
Let y(f) be the first derivative of 109*f**2/2 - 1762. Let w(q) = -3*q. What is w(y(g))?
-327*g
Let v(y) be the first derivative of -y**2/2 - 2650. Let q(m) = -6*m**2 - m - 1. Calculate v(q(i)).
6*i**2 + i + 1
Let y(u) = -45*u. Let p(w) = 37*w. Let d(v) = -6*p(v) - 5*y(v). Let l(q) = q - 965. Calculate l(d(i)).
3*i - 965
Let y(n) = 33*n**2. Let a(r) be the first derivative of -40*r**3 + r**2 + 2348. Calculate a(y(w)).
-130680*w**4 + 66*w**2
Let c(h) = -31*h. Let a = -20 + 46. Let o(u) be the first derivative of -14*u**2 - a - 16*u**2 + 40*u**2 - 9*u**2. What is o(c(l))?
-62*l
Let o(t) = -2*t**2 - 3*t - 1. Let k(l) = -25*l**2 - 39*l - 13. Let p(u) = -2*k(u) + 26*o(u). Let c(n) = -3*n - 187. What is p(c(x))?
-18*x**2 - 2244*x - 69938
Let w(z) be the third derivative of -z**4/12 - 983*z**2. Let l(n) = -1 + 147*n**2 + 72*n**2 - 54*n**2. What is w(l(y))?
-330*y**2 + 2
Suppose -11*v = 4 - 37. Let n(p) = v - 2*p + 1 - 4. Let d(m) = 17*m**2 - m. What is d(n(g))?
68*g**2 + 2*g
Let m(g) = 2*g + 1. Let o(w) = -13*w - 1. Let z(a) = -13*a. Let y(c) = 6*o(c) - 5*z(c). Let f(d) = -6*m(d) - y(d). Let s(t) = 32*t**2. Calculate s(f(v)).
32*v**2
Let h(f) = -1023 + 2045 + 11*f**2 + 34*f**2 + f - 1022. Let r(d) = 7*d + 7. Calculate r(h(c)).
315*c**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
3. What is the closest to g in w, 2, 0.3?
0.3
Let w = -145.4 - -145. Let g = 0.89 - 1.022. Let s = -0.132 - g. Which is the closest to -17? (a) -3 (b) w (c) s
a
Let d = -3.3 - -58.3. Let p = 54 - -5. Let k = p - d. Which is the closest to 11? (a) k (b) -0.2 (c) -1/2
a
Let a = 24576 - 24579.5. What is the nearest to -0.11 in 4, 0.5, a?
0.5
Let p = 0.1148 - -0.1852. Which is the nearest to -5? (a) 2/527 (b) -3 (c) p
b
Let x be ((-970)/(-40) + -25)*(0 - 1/3). Which is the closest to -3/5? (a) 1/3 (b) x (c) -1/6
c
Let f = 17 - 33/2. Let s = 128.76 - 129. Let l = 4.76 - s. Which is the closest to f? (a) 0.05 (b) l (c) -1/4
a
Let p = 794/1785 - 16/357. What is the closest to p in 0.2, 9, -1/8?
0.2
Let c be 1860/75 + 176/(-8). Let w = 1 - -2. What is the closest to c in 2/19, 2, w?
w
Let t = -0.08 + -0.16. Let r = 15936 + -302782/19. What is the closest to 1 in r, t, 1?
1
Let g = -38537 + 38538. Let z = -51 + 253/5. What is the closest to g in 2/11, -0.05, z?
2/11
Let v = 2575 - 2572. What is the closest to 1/4 in 0.3, v, -0.01, 4?
0.3
Suppose 3*z - 8 - 4 = 0. Suppose 20 = 9*y - z*y. Let h = 8913 + -53477/6. What is the nearest to 2 in y, h, 0.1?
h
Suppose -4*q = 43 - 15. Let y = -4393/15 - -293. Let d = -1 - -1.4. Which is the nearest to -0.1? (a) d (b) y (c) q
b
Let w = -11.46 - -11. Let y = w + 0.06. Let g = 13 - 10. What is the closest to -1 in y, -0.8, g?
-0.8
Let u = -0.171 + 0.031. Let g = u - -0.04. Let t = 37/60 + -5/12. Which is the nearest to g? (a) -3/2 (b) t (c) 6
b
Let k = 488.0028 + -488. Let r = 0.3028 - k. Let o = -2 + 2.3. Which is the nearest to r? (a) o (b) -3 (c) 2/7
a
Let g = -86.94 + 87.03. What is the closest to 0.3 in -1, -57, g?
g
Let j be (-240)/(-100)*(-10)/(-3). Let b = -16 + j. What is the closest to 0 in -5, 6, b?
-5
Let o be (-1)/(2/(1 - 9)). Suppose 2*v - 3*w + 5 = o*v, 2*w = -3*v. Let k = -54 - -54.1. Which is the closest to k? (a) 0.3 (b) v (c) -0.5
a
Let z be ((-1)/(-7))/(70/(-980)). Which is the closest to -295? (a) -3/2 (b) z (c) 3
b
Let x = 2.9 - 5.9. Let g = 2.3 + x. Let k = 1.7 + g. What is the closest to -1 in k, 2/15, -2?
-2
Suppose -27*b = -23*b - 32. Suppose b*t = 3*t, -5*o - 4*t = 0. What is the closest to o in 6, -1, 4?
-1
Let y be (-56)/308*(-33)/24. Which is the nearest to y? (a) -41.2 (b) -2 (c) 1
c
Let s = 614 + -421. Let u = s + -193.3. Which is the nearest to 6? (a) 3 (b) u (c) -0.2
a
Let i = -344.28 - -344.28. Suppose 2*z = -z, 0 = -3*s - 4*z + 12. Which is the nearest to i? (a) 2 (b) s (c) -1 (d) -0.2
d
Let h = 0.14042 - 0.04042. What is the nearest to -12 in -6, 5/4, h?
-6
Let o = 2.2 - 2.6. Suppose -y = -4*g + 21, 28 = 2*g + 3*y + 35. Which is the nearest to g? (a) -5 (b) o (c) -2/23
c
Let t = 22.78 + -22.48. Let a = 8.3 - 0.3. Let r = -7 + a. What is the nearest to 3 in t, r, -5?
r
Let l = 266.1 + -267.1. Let b = 7.8 - 8. What is the closest to -2/7 in l, b, 0.9?
b
Let v = -7840 - -39272/5. What is the nearest to -1 in v, -0.03, -2?
-0.03
Let n = -7.185 - -10.185. What is the closest to 1 in n, 0.4, 773, 0.2?
0.4
Let z = -58 - -62. Let g be 1/z*13 - (14 - 11). Which is the nearest to 3? (a) -0.2 (b) g (c) -2
b
Let q = -321487/9 + 35721. Which is the nearest to q? (a) 2 (b) 6 (c) -1/5 (d) 1
c
Let z = 0.41 - 0.01. Let a = 6 - 7. Let v = -4/237 - -178/1185. What is the nearest to 1/3 in v, a, z?
z
Let x(r) = -31*r + 193. Let w(g) = -67*g + 386. Let y(k) = -3*w(k) + 7*x(k). Let p be y(12). What is the nearest to -28/5 in -4, p, 2/9?
-4
Let g = 4435 + -4413. Which is the nearest to -0.1? (a) -3/2 (b) 1/5 (c) g (d) 0.3
b
Let w = -0.0018 + 0.0208. Let z = w - -0.181. What is the closest to 1/4 in z, -0.01, -3, -6?
z
Let p = 70.6 - 73.6. Let c = -1.49 - -1.4. Let x = 0.11 - c. What is the nearest to x in -5, 3, p?
3
Let g = 58.71 + -34.71. Which is the nearest to 94? (a) 5 (b) g (c) 3
b
Let x be (-6)/(-2) + 70/75*-3. Let n = -349/9 + 39. Let p be (1/2)/(8/(-4)). Which is the nearest to x? (a) p (b) -1/9 (c) n
c
Suppose -2*w - 9 = -1. Let d = 0.59 - 0.35. Let l = d + -0.33. Which is the closest to 2/7? (a) w (b) l (c) 6/11
c
Suppose 5 = 7*c + 12. Let z be (c - -1)*7/(-21)*3. What is the closest to z in 1/6, -0.04, -0.4?
-0.04
Let n = -2.156 - -2.826. Let c = -197.67 + 189. Let k = n + c. What is the closest to k in 0, -1, -4/5?
-1
Let s be 0/(-3) - (-2)/(-9). Let f = -279 - -302.7. Let v = f + -24.7. Which is the closest to v? (a) -2 (b) s (c) 0.03
b
Let y = 372 - 615. Let j be (-3 + 0)/(y/(-54)). What is the nearest to -1 in 0.05, j, 0?
j
Let s = 147.198 + -147. Let q = s - 4.198. Which is the nearest to 13/5? (a) -1/4 (b) -3 (c) q
a
Let l = 1443 + -1458. Which is the closest to 0.1? (a) 0.28 (b) l (c) 0.1
c
Let w = 241 + -237. Suppose -c = 4*c - 4*g - 22, -3*c + 10 = -w*g. What is the nearest to -2 in 0.2, c, -4?
-4
Let m = 22 + -16.1. Let t = -5.9 + m. Let q = -0.3 + -3.7. Which is the nearest to t? (a) q (b) -2 (c) 0
c
Suppose 6*q + 0 = -6. Let d(g) = 19*g**2 + 2*g + 3. Let s be d(-1). Suppose r - 35 = 4*f, r + r = -2*f + s. What is the nearest to 0 in 2/7, r, q?
2/7
Let u be ((-6)/8)/((-45)/24). Let i = 425099 + -425097. What is the closest to 2/9 in -0.5, -2, u, i?
u
Let t = 327.729 + 3.171. Let v = -331 + t. Let s = -0.3 - -0.8. Which is the nearest to v? (a) 6 (b) 5 (c) s
c
Let h = -97 + 96.862. Let r = h + 0.038. Let y = -474 - -474.1. What is the nearest to r in 2/11, y, -1?
y
Let a = 0.01622 - -0.01378. What is the nearest to a in -1/2, 5, 2, 0.005?
0.005
Let y = -24 + 24.9. Let v = 4 + -4. Let d = 0.483 - -0.017. Which is the closest to v? (a) d (b) y (c) 5
a
Let f = -16 - -19. Suppose -80 = -f*i + 8*i. Let m be ((-44)/i - 3)/(1/(-10)). Which is the closest to -2/3? (a) -0.1 (b) -0.3 (c) m
b
Suppose -12*o + 68 + 52 = 0. Which is the closest to -2/5? (a) o (b) 0.3 (c) -20
b
Suppose 60*x - 746 = -3*b + 65*x, -4*b + 952 = 4*x. What is the closest to -2 in b, 2/3, -2, 1/2?
-2
Suppose -6 = -a + b, 4*a - 2 - 18 = 3*b. Suppose 29 = a*q + 23. Suppose 3*i = -3*o + q, 2*i = -2*o + 4*i - 6. What is the nearest to o in 2/7, 3, -0.5?
-0.5
Let v be (-262)/10 + 18/90. Let s = v - -50. Let y be (-2)/(-12) - (-8)/s. What is the nearest to y in 11, 3, 4?
3
Let r = -507/7 + 73. Which is the nearest to -2.8? (a) r (b) -0.1 (c) -6 (d) -2/3
d
Suppose 0 = d + d + 8. Let w be d/(-2) + (-24)/14. Let g = -8032/11 + 730. Which is the nearest to w? (a) -0.3 (b) -2 (c) g
c
Let n = 60.18 + -5.58. Let r = n + -55. What is the closest to 0.1 in -0.3, r, 4?
-0.3
Suppose 2*g = 5*d - 3*d + 14, 3*g + d - 29 = 0. Let r = -1 + 5. Suppose g*j - r = 5. Which is the nearest to -1/4? (a) -1 (b) 2/11 (c) j
b
Let n = 0.248 - -0.252. Let w = 10 - 5. Let j be (3/(-2) - (-21)/30) + 1. Which is the nearest to 6? (a) n (b) j (c) w
c
Let b = 271/36 - 31/4. Let z = 677 + -740.8. Let o = -64 - z. What is the closest to -2/3 in 4, o, b?
b
Let r = 0.27 - 0.8. Let m = 0.504 + r. Let t = m + -0.174. Which is the nearest to t? (a) 1/3 (b) -0.2 (c) 4
b
Let s be -4*((-8)/4)/6 - 15/9. What is the nearest to s in -5/7, -23, 2?
-5/7
Let n = 287 + -673. Let u = -1928/5 - n. Which is the nearest to u? (a) -18 (b) -1/6 (c) -4 (d) 0.4
d
Let r = -30.74 + 23.74. Which is the nearest to 168? (a) r (b) -5 (c) 1
c
Suppose 21*l - 303 = -1017. Let v be 20/(-39) - l/(-221). What is the closest to 0.21 in -2, 3, v?
v
Let j = 2.97468 + 0.02532. Let w = 0.8 - 0.3. Let i = -4.8 + 5. Which is the closest to i? (a) j (b) -1 (c) w
c
Let x = -343.903 + 344. Let j = 0.303 + x. Let o = -3/88 - -203/792. What is the nearest to 0.1 in 0.5, o, j?
o
Let n be (36/(-16))/9 + 10/(-24). Let v = -29528/5 + 5906. What is the nearest to v in 0.3, 2/5, n, 3?
2/5
Let r be (0 - (-3)/(-8))/(11 - (-188)/(-16)). What is the closest to r in 4, 15, 0?
0
Let r = -0.6 - -1. Let l = -18/11521 + -4502731/1267310. Let d = -87/22 - l. Which is the closest to d? (a) -14 (b) 5 (c) r
c
Let w = -0.5 + 20.5. Let o = w + -18. Let d be ((-4)/12 + 2/15)*-1. Which is the closest to -4? (a) -1/2 (b) d (c) o
a
Let t = 27193 - 27192.9. What is the nearest to 4/13 in t, -3, -0.5, -5?
t
Let n be (-1)/6 + (-1)/2. Let u = -266 + 263.87. Let r = -1.93 - u. What is the nearest to n in 1.6, r,
|
{
"pile_set_name": "DM Mathematics"
}
|
t z(c) = -3*c. Determine w(z(v)).
99*v**2
Let n(g) be the first derivative of -14*g**3/3 - 82. Let f(k) = -24*k + 33. Let l(z) = 5*z - 6. Let c(j) = 2*f(j) + 11*l(j). Give n(c(b)).
-686*b**2
Let f(w) be the third derivative of w**4/12 - w**2. Suppose 2*q = -3*d + 232, 3*q - d = 289 + 48. Let m(j) = 217*j - q*j - 106*j. Determine f(m(y)).
-4*y
Let u(p) = -35*p - 1. Let l(o) = 31*o + 1. Let x(z) = -3*l(z) - 3*u(z). Let t(a) = -7*a**2. Calculate x(t(v)).
-84*v**2
Let b(i) = -11017*i**2 - 11019*i**2 - 11011*i**2 + 33054*i**2 - 5. Let v(k) = 9*k. Give b(v(z)).
567*z**2 - 5
Let b(u) = -52*u + 27*u + u**2 - 6*u + 31*u. Suppose 1 = -2*k + 5. Let i(m) = 18*m**2 + 16*m**2 - 5*m**2 - 5*m**k. Calculate b(i(c)).
576*c**4
Let b(i) = -1957383*i. Let w(y) = y**2. Determine w(b(m)).
3831348208689*m**2
Let d(w) be the second derivative of 347*w**3/6 + 2*w + 1436. Let m(k) be the second derivative of -k**3/6 - 4*k. Calculate d(m(o)).
-347*o
Let d(z) = -397*z**2 - 460*z - 2. Let p(x) = 2*x. Give p(d(r)).
-794*r**2 - 920*r - 4
Let q(c) = -2803*c. Let i(s) = -17096*s**2. Calculate i(q(h)).
-134320006664*h**2
Suppose 22 = 5*j + 2*r, -4*j - 5*r + 21 = -0*r. Let s(a) = 6*a**2 + 2*a**2 - 223 - j*a**2 + 218. Let m(t) = 5*t. Determine s(m(i)).
100*i**2 - 5
Let b(i) be the first derivative of 7*i**3/3 - 12. Let a(l) be the second derivative of -5/6*l**3 + 6*l + 0 + 0*l**2. Calculate a(b(k)).
-35*k**2
Let c(p) be the third derivative of -p**5/60 - 13*p**3 + 3*p**2 - p. Let m(h) be the first derivative of c(h). Let r(l) = 8*l. What is r(m(g))?
-16*g
Let w(q) = 4*q**2 - 24. Let j(m) = m**2 - 12. Let i(z) = 2*j(z) - w(z). Let t(s) = 2570*s**2. Calculate t(i(v)).
10280*v**4
Let b(n) = 2*n. Suppose -26*t = -13*t - 1521. Let d(h) = -387*h + 139*h - 544*h + t*h. What is d(b(q))?
-1350*q
Let q(v) = 2*v**2 + 94*v. Let s(j) = 4 + 153068*j**2 + 0 - 153082*j**2 - 4. What is q(s(f))?
392*f**4 - 1316*f**2
Let n(v) = -34*v + 159*v - 41*v - 42*v - 45*v. Let c(l) = 2*l**2 + 275. What is c(n(w))?
18*w**2 + 275
Let g(d) = 3*d**2 - 20*d + 54. Let z(w) = -10*w - 1. Let y(i) = g(i) - 2*z(i). Let r(t) = -1 + 1 + 264*t - 262*t. Calculate r(y(u)).
6*u**2 + 112
Let q(n) = -539332*n. Let y(p) = -619*p. Determine y(q(o)).
333846508*o
Let v(u) = -95*u**2 - 35*u - 1575. Let w(o) = 8*o**2 + 3*o + 135. Let h(l) = -6*v(l) - 70*w(l). Let y(c) = 7*c**2 + 5. Determine y(h(f)).
700*f**4 + 5
Let u(l) = -2*l**2. Let m(h) = 45925*h + 849. What is m(u(n))?
-91850*n**2 + 849
Let r(w) = 1836*w**2 - 3692*w**2 + 1776*w**2. Let p(v) = -5*v + 2. What is p(r(s))?
400*s**2 + 2
Let y(q) = 321805*q + 2. Let k(f) = -36*f - 1. Determine k(y(v)).
-11584980*v - 73
Let n(w) = 6650*w + 6638*w - 13282*w. Let z(k) = 2 - 2*k**2 - 2. Determine n(z(a)).
-12*a**2
Let o(j) = -9*j**2. Let r(f) = -3890 + f + 2*f + 3856. Give r(o(q)).
-27*q**2 - 34
Let c(z) = -6*z**2. Let q(i) = -20 - 5*i - 22*i + 16. Let b(g) = 27*g + 3. Let k(o) = 4*b(o) + 3*q(o). Calculate k(c(p)).
-162*p**2
Let v(r) = -680*r. Let g(m) = 18604*m. What is g(v(d))?
-12650720*d
Let s(a) = 46*a**2 - 37*a**2 - 10*a**2. Let i(k) = 3*k**2 + 3 + 0*k**2 - 3. Let g(o) = -2*i(o) - 5*s(o). Let f(n) = -5*n**2. Calculate f(g(u)).
-5*u**4
Let d(g) = 1028*g. Let w(s) = -7*s + 6. Determine d(w(h)).
-7196*h + 6168
Let w(j) = -660*j**2. Let f(b) = -84*b**2 + 3*b. Let x(k) = -54*k**2 + 2*k. Let m(p) = -2*f(p) + 3*x(p). Determine w(m(s)).
-23760*s**4
Let w(z) = 16*z**2 - 8. Let a(h) = -2*h**2 - 4*h + 1131. What is a(w(i))?
-512*i**4 + 448*i**2 + 1035
Let k(u) = 2*u - 2. Let m(g) = -2*g + 4. Let y = -294 + 295. Let c(i) = y*m(i) + 2*k(i). Let o(a) = 17*a**2. Determine c(o(z)).
34*z**2
Suppose -15 = -5*c, -o - 5*c = -0*o - 17. Let y = 216 - 214. Let t(b) = -o*b - b**2 + y*b. Let d(a) = 3*a. Give t(d(q)).
-9*q**2
Let f(d) = -3*d. Let w(v) = 661790*v. Calculate f(w(t)).
-1985370*t
Let c(l) = -2*l. Let o(z) = 5276465*z. Give c(o(s)).
-10552930*s
Let i(h) be the first derivative of 17/2*h**2 + 41 + 0*h. Let o(t) be the first derivative of -t**3 + 4. What is i(o(p))?
-51*p**2
Let l(z) = 51*z**2 + 562*z + 9. Let t(c) = -8*c. Determine l(t(h)).
3264*h**2 - 4496*h + 9
Let l(f) = -152457*f. Let b(m) = -4*m**2 - 21*m. Determine b(l(p)).
-92972547396*p**2 + 3201597*p
Let s(x) = -892685*x. Let a(v) = 4*v**2. Give s(a(p)).
-3570740*p**2
Let f(a) = 2*a - 1. Suppose -l - 12*l + 52 = 0. Let c(i) = 9*i - 4. Let o(w) = l*f(w) - c(w). Let j(n) = 43*n. Calculate j(o(q)).
-43*q
Let w(s) = 25*s. Let h(o) = 4672 - 4674 - 5*o**2 - 10*o**2. What is w(h(b))?
-375*b**2 - 50
Let n(w) = 12097525*w. Let o(g) = g**2. Determine n(o(h)).
12097525*h**2
Let w(s) = -5542135*s. Let o(c) = 3*c**2. What is w(o(g))?
-16626405*g**2
Let s(t) = -t**2. Let d(h) = 50545247*h. Determine d(s(o)).
-50545247*o**2
Let d(n) = -26325*n**2 + 45. Let c(k) = -78*k. Calculate d(c(p)).
-160161300*p**2 + 45
Let d(w) = 9*w**2. Let v(a) be the first derivative of 0*a**3 + 1/6*a**4 + 0*a**2 - 12 + 31*a. Let j(i) be the first derivative of v(i). Determine j(d(b)).
162*b**4
Let i(h) = 1290*h - 2628*h + 1321*h. Let z(s) = -16*s - 1. Calculate z(i(d)).
272*d - 1
Let u(o) = -2*o. Let a(w) = 69*w**2 + 968260. Give u(a(n)).
-138*n**2 - 1936520
Let p(u) = -8 + 8 + 317*u**2 + 125*u**2 - 92*u**2. Let r(w) = -6*w**2. What is p(r(y))?
12600*y**4
Let y(l) = 2*l. Let i(x) = x + 1033910445. What is y(i(o))?
2*o + 2067820890
Let x(z) = -5*z**2 + 9*z + 4. Let f(w) = w**2 + 12*w - 1. Let m(j) = 4*f(j) + x(j). Let o(d) = 37*d**2. Calculate m(o(k)).
-1369*k**4 + 2109*k**2
Let h(f) = 9*f**2 + 0*f**2 - f**2. Let w(c) = 79*c**2 + 100*c**2 - 180*c**2. Calculate h(w(y)).
8*y**4
Let r(m) = -74*m**2 - 3. Let x = -86 + 485. Let c(j) = 2*j - 399 + x. Give r(c(w)).
-296*w**2 - 3
Let s(v) = -9090*v. Let t(l) = -l**2 + l + 5. Let d(c) = 4*c**2 - 5*c - 25. Let k(g) = -2*d(g) - 10*t(g). Calculate s(k(p)).
-18180*p**2
Let r(l) = -2*l. Suppose -2*g - 39*h + 44*h + 64 = 0, 7*h + 116 = 4*g. Let n(x) be the first derivative of x + 3/2*x**2 - g. What is r(n(v))?
-6*v - 2
Let u(p) = -p. Let b(x) = 160325229*x. Calculate b(u(g)).
-160325229*g
Let f(i) = -376*i. Let v(x) = 938074*x. Determine f(v(w)).
-352715824*w
Let b(m) = 6*m**2 - 7*m. Let k(l) = 29*l - 17*l + 42 + 5*l - 42. Calculate k(b(y)).
102*y**2 - 119*y
Let z = 3817/4 + -11447/12. Let w(r) be the third derivative of 0*r**3 + 19*r**2 + 0*r - z*r**4 + 0. Let t(a) = -2*a. Calculate w(t(k)).
16*k
Let v(d) = 13*d**2 - 2870 + 15*d**2 + 2974 - 27*d**2. Let w(a) = 2*a**2. Calculate w(v(q)).
2*q**4 + 416*q**2 + 21632
Let d(b) = 5448*b**2. Let w(z) = -567*z. Determine d(w(r)).
1751472072*r**2
Let i(m) = 0*m + 120811*m**2 - 120809*m**2 + 0*m. Let j(k) = -555*k**2. Give j(i(p)).
-2220*p**4
Let k(g) = 155*g**2. Let i(m) = -340043*m. What is i(k(z))?
-52706665*z**2
Let g(v) = -v**2 - 2. Suppose 15 = -5*l, 3*c - 28 = 4*l - 10. Suppose -4*p + 29 = 3*q, -c*p - 2*q + 21 = p. Let t(o) = -2*o + o + p*o - 2*o. Give g(t(u)).
-4*u**2 - 2
Let y(g) = 2244*g. Let p(j) = -2638*j. Determine p(y(a)).
-5919672*a
Let h(b) = 2*b. Let o(d) be the second derivative of 37/12*d**4 - 2*d - 5 + 0*d**2 + 0*d**3. What is o(h(m))?
148*m**2
Let q(z) be the third derivative of -37*z**5/60 + z**2 - 2*z - 131. Let y(g) = -52*g. What is y(q(t))?
1924*t**2
Let s(k) = k**2. Let p(i) = 2428337*i - 5. What is p(s(w))?
2428337*w**2 - 5
Let l(k) = -k. Let b(x) be the third derivative of -19*x**5/30 + 5*x**3/2 - x**2 - 340. Give b(l(a)).
-38*a**2 + 15
Let q(r) = 2667*r**2 + 17*r + 1666. Let c(b) = 889*b**2 + 6*b + 588. Let u(h) = -17*c(h) + 6*q(h). Let w(a) = a**2. Determine u(w(m)).
889*m**4
Let q(w) = -172*w**2 - 902*w**2 - 667*w**2 - 641*w**2 - 1525*w**2. Let z(l) = -l. Give z(q(o)).
3907*o**2
Let f(k) = 5865*k. Let z(r) = 936*r**2. Calculate z(f(x)).
32196738600*x**2
Let h(n) = -8*n**2. Suppose -10*o = -4*o - 30. Suppose 3*z - 11 = -o. Let d(v) = -2*v + z*v - 4*v**2 + 3*v**2. Determine d(h(k)).
-64*k**4
Let u(t) = 11*t**2 - 3*t + 3. Let h(l) = 28*l**2 - 8*l + 8. Let q(p) = -6*h(p) + 16*u(p). Let r(m) = 0*m - m + 2*m. What is r(q(n))?
8*n**2
Let p(s) = -13964597*s - 1 + 1 + 13964594*s. Let w(b) = -5*b + 69. Give p(w(u)).
15*u - 207
Let w(b) = -3006235*b. Let u(v) = 5*v**2. Determine w(u(y)).
-15031175*y**2
Let j(s) = -s**2. Suppose 4*y = -47 + 55. Let t(z) = -44*z + 25*z + 16*z
|
{
"pile_set_name": "DM Mathematics"
}
|
conds to days.
0.000025515196875
Convert 163.769 meters to centimeters.
16376.9
What is 7/25 of a microsecond in nanoseconds?
280
Convert 12.93059 millilitres to litres.
0.01293059
What is 0.8823215ml in litres?
0.0008823215
Convert 92.8537 millilitres to litres.
0.0928537
What is thirteen quarters of a centimeter in micrometers?
32500
What is 18/5 of a meter in centimeters?
360
What is 9/10 of a microgram in nanograms?
900
What is 8412.27282s in weeks?
0.01390918125
What is 1/4 of a micrometer in nanometers?
250
What is 0.6830425 grams in micrograms?
683042.5
Convert 0.0469394 kilograms to tonnes.
0.0000469394
What is 3/8 of a litre in millilitres?
375
What is 96157.59 centuries in decades?
961575.9
Convert 0.2067557l to millilitres.
206.7557
What is 88.77696ml in litres?
0.08877696
Convert 51922.44l to millilitres.
51922440
What is 11/4 of a kilometer in meters?
2750
Convert 0.3615253 minutes to milliseconds.
21691.518
What is 1/10 of a centimeter in micrometers?
1000
What is 965.4042m in millimeters?
965404.2
How many milligrams are there in seven eighths of a gram?
875
Convert 4.047624 minutes to milliseconds.
242857.44
What is one quarter of a tonne in kilograms?
250
What is fourty-five halves of a litre in millilitres?
22500
Convert 1.0700829 months to decades.
0.0089173575
How many seconds are there in 1/30 of a day?
2880
Convert 0.3581573 millilitres to litres.
0.0003581573
What is thirteen eighths of a millimeter in micrometers?
1625
What is sixty-five thirds of a century in months?
26000
What is 7/4 of a day in hours?
42
How many millilitres are there in fourty-eight fifths of a litre?
9600
How many millilitres are there in 5/4 of a litre?
1250
What is 3/50 of a tonne in kilograms?
60
How many kilometers are there in 459.919 meters?
0.459919
Convert 5714.044mg to micrograms.
5714044
What is 21/4 of a micrometer in nanometers?
5250
How many grams are there in 0.4291933mg?
0.0004291933
How many litres are there in 22.03427 millilitres?
0.02203427
What is fifty-three fifths of a millimeter in micrometers?
10600
Convert 1.337765 decades to millennia.
0.01337765
What is 1/5 of a millimeter in micrometers?
200
Convert 6297.412 kilograms to micrograms.
6297412000000
How many millimeters are there in 8.63815 nanometers?
0.00000863815
What is 1/10 of a gram in micrograms?
100000
What is 0.775414nm in micrometers?
0.000775414
How many milligrams are there in 7/2 of a gram?
3500
What is 7.496012km in millimeters?
7496012
How many minutes are there in 6/5 of a day?
1728
What is 7862.947 milligrams in micrograms?
7862947
How many millilitres are there in 8099.869 litres?
8099869
What is 87.99467mg in kilograms?
0.00008799467
Convert 2456.64 hours to nanoseconds.
8843904000000000
How many millilitres are there in sixty-four fifths of a litre?
12800
Convert 4.816916g to milligrams.
4816.916
How many kilograms are there in three tenths of a tonne?
300
What is 17/2 of a week in hours?
1428
What is 94200.64 litres in millilitres?
94200640
How many milligrams are there in fourty-five quarters of a gram?
11250
How many seconds are there in four fifteenths of a minute?
16
Convert 0.4464307kg to nanograms.
446430700000
What is 0.671564ml in litres?
0.000671564
Convert 19910.9925 hours to weeks.
118.5178125
How many seconds are there in fourty-four fifths of a hour?
31680
How many microseconds are there in 6/5 of a millisecond?
1200
How many millilitres are there in 77/2 of a litre?
38500
What is one fifteenth of a minute in milliseconds?
4000
What is 21/5 of a decade in months?
504
Convert 19055267.7 hours to weeks.
113424.2125
How many microseconds are there in 29.71243 minutes?
1782745800
What is 7.792332 meters in kilometers?
0.007792332
What is 40089.1 kilometers in millimeters?
40089100000
What is one quarter of a milligram in micrograms?
250
How many micrometers are there in 3.874775 nanometers?
0.003874775
What is 8.286943 centuries in months?
9944.3316
What is 63.7271 millilitres in litres?
0.0637271
How many millilitres are there in 3/8 of a litre?
375
What is 43/2 of a litre in millilitres?
21500
What is twenty-nine halves of a meter in millimeters?
14500
Convert 8865460.8ns to hours.
0.000002462628
What is three fifths of a tonne in kilograms?
600
Convert 98.86077 grams to micrograms.
98860770
How many grams are there in three tenths of a kilogram?
300
What is one quarter of a second in milliseconds?
250
What is 9723.362m in micrometers?
9723362000
What is 25/2 of a century in months?
15000
What is 0.3854669 nanoseconds in milliseconds?
0.0000003854669
Convert 49051.5 nanograms to kilograms.
0.0000000490515
What is 1/20 of a litre in millilitres?
50
Convert 5.689705km to nanometers.
5689705000000
How many milligrams are there in three eighths of a gram?
375
Convert 8320.227 millennia to months.
99842724
What is three eighths of a centimeter in micrometers?
3750
How many millennia are there in 6.056507 decades?
0.06056507
How many millilitres are there in 13/5 of a litre?
2600
How many centimeters are there in five quarters of a meter?
125
What is 22414.78l in millilitres?
22414780
How many months are there in 58/3 of a decade?
2320
Convert 0.9564833l to millilitres.
956.4833
What is one twentieth of a kilometer in meters?
50
How many millilitres are there in 2/125 of a litre?
16
What is 3/10 of a micrometer in nanometers?
300
How many nanograms are there in 81/2 of a microgram?
40500
What is 53/5 of a decade in months?
1272
Convert 485.0848 litres to millilitres.
485084.8
Convert 96.20034ml to litres.
0.09620034
How many micrometers are there in 7/4 of a millimeter?
1750
How many seconds are there in 5/4 of a minute?
75
Convert 58.86873us to hours.
0.000000016352425
What is 2.61718 nanograms in milligrams?
0.00000261718
Convert 706737.528ms to weeks.
0.0011685475
How many months are there in seven quarters of a decade?
210
What is 11/8 of a kilometer in meters?
1375
What is ten thirds of a minute in seconds?
200
Convert 1358.331l to millilitres.
1358331
How many kilometers are there in 990.1176m?
0.9901176
What is thirty-four fifths of a decade in years?
68
What is twenty-nine halves of a centimeter in millimeters?
145
What is twenty-seven quarters of a hour in minutes?
405
What is 1/6 of a day in minutes?
240
How many hours are there in twenty-seven quarters of a week?
1134
Convert 435.2752 litres to millilitres.
435275.2
How many millilitres are there in 1/10 of a litre?
100
What is thirteen sevenths of a week in hours?
312
What is 57/2 of a second in milliseconds?
28500
Convert 578.7322 millennia to months.
6944786.4
What is 2/75 of a hour in milliseconds?
96000
How many millilitres are there in 198.7906l?
198790.6
What is 17/2 of a litre in millilitres?
8500
What is seven sixths of a day in minutes?
1680
How many micrograms are there in 0.5070031kg?
507003100
How many months are there in 7/4 of a year?
21
What is 57.99589 millimeters in micrometers?
57995.89
What is 128.2157 years in centuries?
1.282157
What is 2971.56 meters in nanometers?
2971560000000
What is 76.58255 millimeters in kilometers?
0.00007658255
What is 91.38836ml in litres?
0.09138836
Convert 8.974002 weeks to milliseconds.
5427476409.6
How many micrograms are there in 0.826213g?
826213
How many millilitres are there in three eighths of a litre?
375
How many decades are there in 1/5 of a millennium?
20
Convert 3.385878 tonnes to nanograms.
3385878000000000
How many milliseconds are there in 56.8306 weeks?
34371146880
What is 46/5 of a tonne in kilograms?
9200
What is 1/4 of a millennium in years?
250
What is 82.41334 years in decades?
8.241334
Convert 733716.3 kilograms to tonnes.
733.7163
Convert 838352.5m to kilometers.
838.3525
What is fifty-one quarters of a millennium in years?
12750
Convert 1.597189t to milligrams.
1597189000
How many micrograms are there in 19/4 of a milligram?
4750
Convert 74.29683 kilograms to tonnes.
0.07429683
Convert 0.0996736 centuries to millennia.
0.00996736
How many milligrams are there in 661.4615ng?
0.0006614615
Convert 470.5384 micrograms to tonnes.
0.0000000004705384
How many tonnes are there in 5581.971 kilograms?
5.581971
Convert 550.9309 micrograms to kilograms.
0.0000005509309
How many tonnes are there in 5.892275 grams?
0.00000
|
{
"pile_set_name": "DM Mathematics"
}
|
prob of sequence ku when two letters picked without replacement from ukw?
1/6
What is prob of sequence bkbt when four letters picked without replacement from {z: 4, b: 7, t: 1, q: 2, k: 3}?
3/1360
Three letters picked without replacement from {l: 3, s: 2}. What is prob of sequence lss?
1/10
Two letters picked without replacement from {d: 2, u: 3, c: 3, t: 7}. Give prob of sequence cd.
1/35
What is prob of sequence ol when two letters picked without replacement from lwoeh?
1/20
What is prob of sequence ni when two letters picked without replacement from {o: 1, d: 2, n: 3, i: 1}?
1/14
What is prob of sequence mm when two letters picked without replacement from {h: 1, m: 2, r: 4, j: 4}?
1/55
What is prob of sequence xj when two letters picked without replacement from fjtjxjxfddfxxjqxxfdx?
7/95
Calculate prob of sequence wc when two letters picked without replacement from cwcz.
1/6
What is prob of sequence hz when two letters picked without replacement from {q: 1, h: 9, y: 4, z: 1}?
3/70
Three letters picked without replacement from ttdcdkktdtdttktdtqtt. What is prob of sequence ktc?
1/228
Two letters picked without replacement from {q: 2, v: 1, x: 2, o: 1, c: 1}. What is prob of sequence cv?
1/42
Four letters picked without replacement from nnrrnrrrnrrrrrrnnrr. What is prob of sequence rnrr?
143/1292
Three letters picked without replacement from {t: 6, j: 13}. Give prob of sequence tjt.
65/969
Four letters picked without replacement from wbwwbwwgwgwbwb. Give prob of sequence bbwg.
8/1001
Calculate prob of sequence ggm when three letters picked without replacement from {h: 1, g: 2, m: 2}.
1/15
Three letters picked without replacement from rytrrrtzzrrmyrrry. What is prob of sequence ymt?
1/680
Calculate prob of sequence om when two letters picked without replacement from mvvvovvvmovvv.
1/39
Three letters picked without replacement from aaaakaaaaak. What is prob of sequence aak?
8/55
Calculate prob of sequence fa when two letters picked without replacement from {v: 6, j: 5, f: 1, y: 1, r: 2, a: 1}.
1/240
Calculate prob of sequence fgg when three letters picked without replacement from {f: 11, g: 5}.
11/168
Two letters picked without replacement from {b: 2, p: 4}. What is prob of sequence pb?
4/15
What is prob of sequence nnx when three letters picked without replacement from {x: 1, a: 1, n: 2}?
1/12
What is prob of sequence aj when two letters picked without replacement from {a: 14, j: 1, s: 1}?
7/120
Calculate prob of sequence qwgw when four letters picked without replacement from wgsgqqqqwogwqg.
5/1001
Calculate prob of sequence am when two letters picked without replacement from {a: 1, t: 1, m: 2, o: 2, f: 2}.
1/28
Calculate prob of sequence aa when two letters picked without replacement from aan.
1/3
What is prob of sequence ckk when three letters picked without replacement from {k: 7, c: 9}?
9/80
Four letters picked without replacement from bbbmbbbbmbbppb. Give prob of sequence bpbm.
15/1001
Calculate prob of sequence ootx when four letters picked without replacement from dcooxttoxxxxtoo.
5/546
Calculate prob of sequence gcc when three letters picked without replacement from cffgefefefefefegce.
1/1224
Calculate prob of sequence xaum when four letters picked without replacement from maxuuxt.
1/210
Calculate prob of sequence rro when three letters picked without replacement from {r: 2, o: 1}.
1/3
Two letters picked without replacement from {h: 2, s: 11}. Give prob of sequence ss.
55/78
Calculate prob of sequence sas when three letters picked without replacement from {l: 1, s: 8, a: 6, v: 1}.
1/10
Calculate prob of sequence me when two letters picked without replacement from wlwmewwllowl.
1/132
Two letters picked without replacement from {v: 3, c: 1, f: 1}. Give prob of sequence vf.
3/20
Calculate prob of sequence pxpp when four letters picked without replacement from paeeapaseeeapxpasspe.
1/1938
Four letters picked without replacement from {t: 5, g: 2, r: 5}. Give prob of sequence ttrg.
5/297
Two letters picked without replacement from fkkkxwqqfuq. Give prob of sequence uk.
3/110
Calculate prob of sequence su when two letters picked without replacement from hhsukstxusuu.
1/11
Two letters picked without replacement from {r: 4, k: 2}. Give prob of sequence kk.
1/15
What is prob of sequence qp when two letters picked without replacement from {p: 4, e: 2, q: 1}?
2/21
Calculate prob of sequence uaau when four letters picked without replacement from vauauvuuvuvv.
1/297
What is prob of sequence ehc when three letters picked without replacement from {v: 1, i: 2, h: 1, e: 5, f: 2, c: 2}?
5/858
What is prob of sequence mok when three letters picked without replacement from {m: 1, u: 1, i: 3, k: 2, o: 1, l: 10}?
1/2448
Three letters picked without replacement from {f: 5, g: 15}. What is prob of sequence ggg?
91/228
Calculate prob of sequence qn when two letters picked without replacement from {q: 1, g: 1, n: 7, z: 4}.
7/156
Two letters picked without replacement from jbmjbbjmbbbbbj. What is prob of sequence mm?
1/91
What is prob of sequence gaj when three letters picked without replacement from {o: 4, a: 5, t: 4, j: 2, g: 2}?
1/204
Calculate prob of sequence zgl when three letters picked without replacement from gppllofzo.
1/252
Calculate prob of sequence www when three letters picked without replacement from wzwzgwbkzebzz.
1/286
What is prob of sequence rl when two letters picked without replacement from lrggsssglrrglrlsyls?
10/171
Four letters picked without replacement from sqgskvvnqnsvqsq. Give prob of sequence nqkq.
1/1365
Four letters picked without replacement from {m: 2, y: 4, e: 2}. Give prob of sequence ymee.
1/105
Calculate prob of sequence vtkt when four letters picked without replacement from {v: 3, t: 5, k: 1}.
5/252
Three letters picked without replacement from {f: 1, j: 2, x: 2, d: 2, s: 4, k: 3}. Give prob of sequence xxk.
1/364
Calculate prob of sequence bbk when three letters picked without replacement from {b: 3, l: 3, o: 1, d: 1, z: 1, k: 9}.
3/272
What is prob of sequence mum when three letters picked without replacement from rmurm?
1/30
What is prob of sequence eeeh when four letters picked without replacement from heeehe?
2/15
Three letters picked without replacement from {o: 2, c: 1, e: 5, u: 1}. What is prob of sequence eec?
5/126
What is prob of sequence vvf when three letters picked without replacement from {v: 2, f: 2}?
1/6
Four letters picked without replacement from wqcwvaa. What is prob of sequence vaww?
1/210
Two letters picked without replacement from {w: 11, h: 2}. Give prob of sequence hh.
1/78
Calculate prob of sequence vv when two letters picked without replacement from qvqvvvqvvqqv.
7/22
What is prob of sequence xt when two letters picked without replacement from {w: 1, o: 2, d: 1, x: 2, t: 1}?
1/21
Two letters picked without replacement from bjijjjiejjiijjieeij. Give prob of sequence be.
1/114
Three letters picked without replacement from xuvvxuuvxxxu. What is prob of sequence xxu?
2/33
What is prob of sequence az when two letters picked without replacement from {k: 4, a: 2, z: 2, l: 2}?
2/45
Two letters picked without replacement from {c: 2, e: 1, v: 1, p: 3, n: 5, j: 1}. What is prob of sequence pv?
1/52
What is prob of sequence idis when four letters picked without replacement from {d: 1, i: 2, s: 1}?
1/12
Calculate prob of sequence weq when three letters picked without replacement from qrqwrqwqeqqr.
1/110
Calculate prob of sequence upff when four letters picked without replacement from {m: 1, r: 4, p: 5, f: 4, u: 1}.
1/546
Calculate prob of sequence ulu when three letters picked without replacement from ululuullluul.
3/22
Three letters picked without replacement from gcgcxevcgx. What is prob of sequence xcv?
1/120
What is prob of sequence bjxb when four letters picked without replacement from {x: 1, b: 2, v: 1, j: 1}?
1/60
What is prob of sequence ffs when three letters picked without replacement from {f: 18, s: 2}?
17/190
Calculate prob of sequence odfo when four letters picked without replacement from fftototdtodtdoofftd.
10/2907
Two letters picked without replacement from {z: 1, n: 2, l: 1}. Give prob of sequence nz.
1/6
Three letters picked without replacement from {z: 3, t: 8}. Give prob of sequence ttt.
|
{
"pile_set_name": "DM Mathematics"
}
|
-104650)/(-1) + 0 a prime number?
False
Let o = 40 - 39. Is (17598/(-126))/(o*1/(-9)) a prime number?
False
Let r(c) = -c**3 - 5*c**2 + 4. Let n be r(-5). Let t be 9/2 - n/(-8). Suppose 6 = -t*y + 181. Is y composite?
True
Let o be (-23060)/25 - 6/10. Let m = -1876 - o. Let g = -622 - m. Is g composite?
False
Let k = 126 - 117. Suppose 13549 = k*s + 8*s. Is s composite?
False
Suppose -3*u = 2*u + 3*k + 55, -5*k = -25. Let j = u + 17. Suppose -3*x = 3*y - 1488, 2*y + 506 = 3*y + j*x. Is y a prime number?
True
Let h(u) = -3*u - 9. Let c be h(-6). Let o be (24/c)/(1/(-3)). Is (163 + 0)*(-7 - o) composite?
False
Suppose -6*f + 4*f - 5*a = -16, 4*a + 1 = 3*f. Suppose -f*t + 2*k - 5*k = -3327, 0 = -2*k - 10. Is t prime?
False
Let z(x) = -20*x**2 + 5*x + 15. Let g be z(-7). Let c = 1979 + g. Is c composite?
True
Suppose -7*c + 23*c - 7184 = 0. Is c a composite number?
False
Suppose 0 = -4*w + 4*r + 8, 0 = 3*w - r - 4 - 6. Suppose f + w + 0 = 0. Let b(p) = -11*p - 7. Is b(f) composite?
False
Let x = 930 - 219. Suppose -560 = -5*j - 2780. Let k = x + j. Is k a composite number?
True
Suppose 3*c + 5683 = -0*m - 2*m, 3*m = -4*c - 8525. Is -3*(8/(-44) - m/(-33)) composite?
True
Let l(d) be the second derivative of -181*d**4/2 - d**3/3 + d**2/2 - 5*d. Let f be l(1). Let m = f + 1556. Is m composite?
True
Let t(w) = -w - 1. Let j(g) = g - 4. Let z(n) = -n + 3. Let k(l) = 7*j(l) + 6*z(l). Let a(x) = k(x) - 4*t(x). Is a(4) prime?
False
Suppose 0 = -k - 2*k + 840. Let b = -77 + k. Is b prime?
False
Is ((-2402822)/(-89))/(-1 + -2 + 5) a composite number?
False
Is ((-497)/14)/(4/(-24)) composite?
True
Suppose -3*c + 4 = -c. Suppose -2 + 152 = c*k. Let u = k + 86. Is u a composite number?
True
Let b(m) = 78400*m**2 + 59*m - 58. Is b(1) prime?
True
Let h = 1226 - 355. Is h a prime number?
False
Suppose 3*g - 2943 = -2*h + 2176, -5*h + 4*g = -12786. Is h a prime number?
False
Let a be -1 - (7/(-5) + (-8)/(-20)). Is (-339)/(9/(-69) + a) a prime number?
False
Suppose -3*v + 1900 = 2*v. Suppose 0 = 2*o - 2*w - 294, -4*o - w + v = -218. Is o prime?
True
Let p(b) = -b**2 + 4. Let w be p(-5). Let c = -83 + 253. Let x = c + w. Is x a composite number?
False
Suppose 3*o = -4*t - 3051, -5*t + 2*o - 5*o - 3810 = 0. Let p = t - -4406. Is p a composite number?
True
Let l = -26 - -25. Let u be (3/6)/(l/(-3134)). Suppose -4*b - k = -u, -b + 3*b = -5*k + 797. Is b a prime number?
False
Let o = -1104 - -3637. Is o composite?
True
Suppose -4*i - 1924 = -3*i. Let q = i + -421. Is q/(-11) - (-8)/(-44) composite?
True
Let y = 17 - 15. Let x(h) = 10*h**3 - 2*h**2 - 3. Is x(y) a composite number?
True
Suppose -3*p = -p + 2*u - 14, 10 = 4*p - 5*u. Let v be p + -40 - 9/3. Is v*(-6)/3 - -3 a prime number?
True
Is (-8 - 495)/(44/(-43) + 1) a prime number?
False
Is (-11967)/((-1)/((-1)/1 + 2)) composite?
True
Suppose 8 = 2*s, -2*k - k + 35 = 2*s. Suppose -k*m + 1156 = -5*m. Is m a composite number?
True
Let t(m) be the second derivative of -m**3/6 + 4*m**2 + 5*m. Let v be t(5). Suppose -3*l = v, 0 = 5*p - l + 3*l - 168. Is p composite?
True
Suppose -3*l + s = 4*s + 546, 3*l + 551 = -2*s. Is 5 + -4 - 3 - l prime?
False
Suppose -4*t + g + 14 = 0, -g - g + 5 = 3*t. Let a be (-1)/3*(t - 3). Suppose 2*n + 4*f - 182 = -a*n, 4*n - f - 391 = 0. Is n prime?
True
Suppose -9*x + 7*x - 3762 = 0. Let p = 3340 + x. Is p prime?
True
Suppose 8139 = j + g - 0*g, g + 1 = 0. Let z = j - 5619. Is z prime?
True
Let d(j) be the second derivative of 11/6*j**4 + 0*j**3 + 0 + j - 9/2*j**2. Is d(5) a prime number?
True
Is (7 - (6 + -4) - -28902) + -6 a composite number?
False
Suppose 0 = 10*a - 213746 - 328944. Is a prime?
True
Let r = 112 - 108. Suppose 0 = -3*u - 3*i + 4410, 0 = -r*u + 9*i - 7*i + 5886. Is u a composite number?
False
Suppose 972*w - 60295 = 967*w. Is w a composite number?
True
Let x(u) = 5*u - 2. Let z be x(1). Suppose 15 = z*q - 0. Suppose 0 = 8*s - q*s - 582. Is s composite?
True
Let d(m) = 119*m**2 + m - 3. Let o be d(2). Suppose -o = 2*p - 3833. Is p composite?
True
Let b = -37 + -166. Let g = b - -318. Is g prime?
False
Suppose 3*p - p = 468. Let w = p - -815. Is w a composite number?
False
Suppose 19*s = 100218 + 201293. Is s prime?
False
Let u(f) = 15*f**3 + f**2 - 1. Let o be u(-2). Let z(s) = 99*s + 11. Let a be z(3). Let j = o + a. Is j a composite number?
False
Suppose -7 = -n + 7. Suppose 3*a + 22 = -n. Is (-225)/a + 4/16 a prime number?
True
Let a(v) = -272*v**3 + v**2 - 1. Let f be a(-1). Suppose 45 = h - 5*u - f, 0 = 5*h - 3*u - 1673. Is h prime?
True
Suppose 3*l - 4445 - 3006 = -t, -2*l - 5*t = -4976. Is l a prime number?
False
Is 9/(72/9344) + 3 a composite number?
False
Suppose -5*g - 25 = 4*l, l = 3*l - 3*g - 15. Suppose 5*r = -l*r. Suppose 0 = -r*a + 3*a - 279. Is a a composite number?
True
Suppose -5*u - 80 = -4*s, 0 = 4*u - 5*s + 4 + 69. Let p be u/(-8) - 33/6. Is ((-1065)/(-20))/((-1)/p) prime?
False
Let y(t) = 1387*t**2 - 3. Is y(-4) composite?
False
Suppose 3*w = -4*g + 57110 + 45567, -4*w = -4*g - 136940. Is w composite?
False
Let l be (1/(-1))/((-6)/(-54)). Let o(x) = -x**3 - 7*x**2 - 5*x + 9. Let k be o(l). Suppose -2*p - u + k = 0, 3*p + 4*u + u - 317 = 0. Is p prime?
True
Let w = 8793 - 736. Is w composite?
True
Is 2404 - 36 - 1*-1 a prime number?
False
Let f = 106866 - 5237. Is f a composite number?
True
Let u(a) = -250*a - 49*a + 1 + 0 - 12. Is u(-6) prime?
True
Suppose 2*g - 2235 = -3*n, 0 = 18*n - 14*n + 5*g - 2987. Is n a prime number?
True
Let c be (-1 - (-5 - -3))*(0 - -387). Suppose 0 = t - 2, 4*t - t = 3*k - c. Is k a prime number?
True
Let p(y) be the first derivative of 9*y**2 - 47*y + 17. Is p(12) a prime number?
False
Suppose 13 = 4*o - 3*n, 0 = -0*o - 4*o + n + 7. Is o/((-4107)/1027 + 4) a composite number?
True
Let k = -11666 - -6630. Let b = -2935 - k. Is b prime?
False
Suppose 5*q + 1707355 = 18*q. Is q prime?
False
Suppose 0 = -w + 2*s, -2*s - 23 = 4*w + 27. Is w/(-6)*(1 - -8) - 2 prime?
True
Let c = -6446 + 10773. Is c prime?
True
Let f be 1 + -3 - (1 + (7 - -5)). Let v(m) = 6*m**2 + 7*m - 2. Is v(f) a composite number?
True
Let i = 776 + -2. Suppose -i = a - 2125. Is a a composite number?
True
Let c(x) = x**2 + 9*x - 6. Let j be c(-10). Suppose -l = j, 2*u - 2*l - 1082 = l. Is u prime?
False
Suppose -3*o + 52 = -5*d, 4*d - 6*d = 2*o - 40. Suppose 24*b = o*b + 565. Is b a composite number?
False
Let t be (-5 + 66/18)/((-2)/(-36)). Is 2*(-1)/(-12) - 3476/t prime?
False
Let t(x) = x**3 + 14*x**2 - 7*x - 11. Let m(y) = -y**2 - 2*y + 3. Let o(k) = -k**2 - 1. Let s(p) = m(p) + 3*o(p). Let b be s(-2). Is t(b) a composite number?
True
Suppose -3*r = -4*v + 6550, -2*v - 3*v + 8191 = -2*r. Is v a prime number?
False
Let i = -60 + 539. Let g = i - -764. Is g composite?
True
Let m be (-4)/6 + 1 + 154/42. Suppose 2*g + 2*g - 8416 = m*w, -5*g + 10485 = 2*w. Is g a prime number?
True
Let m(y) be the second derivative of y**3/3 - 21*y**2/2 + 12*y. Let l be m(16). Suppose 13*t = l*t + 658. Is t composite?
True
Suppose -5*x - o + 11608 = 0, 4*x + 65*o - 64*o - 9287 = 0. Is x composite?
True
Let i(x) be the first derivative of -2/3*x**3 + 1/2*x**2 + 0*x + 33*x**4 + 5. Is i(1) composite?
False
Suppose 4*u = -l + 24, -u + 4*u + 5*l = 18. Suppose 0 = -r + 4*o + 119, -2*r - o = -u*r + 506. Is r a prime number?
True
Let z = 7 - 13. Is 5/30 + (-13901)/z prime?
False
Suppose -12 = -4*v + 8. Suppose -3*f + v*r = 3*r - 386, -4*f - 4*r + 528 = 0. Let i = -41 + f. Is i prime?
True
Let y be 49 + -3 - (-4 - -3). Suppose s = 2*s - 20. Let k = s + y. Is k a composite number?
False
Let r(p) = p**3 + 5*p**2 + 5*p + 8. Let k be r(-4). Let i(b) = 19*b + 1. Is i(k) prime?
False
Let w(v) = 23*v**3 - v**2 - 2*v + 16. Let l be w(6). Let i = -2193 + l. Is i composite?
True
Suppose 33*v = 21082 + 4889. Is v a prime number?
True
Suppose -4*x + 40582 = 2*t, 3*t - 3*x - 34826 - 26029 = 0. Is t prime?
True
Let c = -227 + 428. Is c a composite number?
True
Let k = 7 - -8. Suppose -k = 3*p + 4*l, -l + 14 = -5*p - 4*l. Let x(c) = -111*c**3 - c**2 - c. Is x(p) a prime number?
False
Suppose 0 = -5*x + 205 + 170. Is 1/5 + 23910/x prime?
False
Let r be ((-50964)/8)/(6/(-8)). Suppose -h + 1708 = -5*y, -h - 4*h + r = -2*y. Let p = h - 1009. Is p a composite number?
True
Suppose 0*p + 4*p - 3*t = -38,
|
{
"pile_set_name": "DM Mathematics"
}
|
et m be 1*(-1 + ((-2)/p - -3)). Let w be (-12)/28 + 2/7. Which is smaller: m or w?
w
Let w(c) = -c**2 - 35*c + 30. Let x be w(-36). Which is greater: x or -46/9?
-46/9
Let z = -15 - -15. Let q = z - 4. Let j = 1 + 0. Which is greater: j or q?
j
Let x = -1.44 - -15.64. Let u = x - 14.21. Which is smaller: 3 or u?
u
Let o(k) = -k + 4. Let n be o(4). Let c be 20/15*((-12)/4)/(-1). Let h be -8*(-3)/(-6)*c/(-22). Is n != h?
True
Let s be (1/(-28))/(27/(-72)). Which is greater: 1 or s?
1
Let d be 1*-10*2/4. Let y = -8 - d. Suppose 0 = -i + 5 - 8. Are y and i unequal?
False
Let l be (-195)/(-20) + 3/(-4). Let d(g) = -3*g + 58. Let x be d(16). Which is greater: x or l?
x
Let p = -17 - 12. Is -29 > p?
False
Let l = 8 - 14. Let k = -6 - l. Let m = k - -1. Which is bigger: m or -3?
m
Let f = -1907 - -371866/195. Is 0 equal to f?
False
Let u = -5 + 8. Let n be 2*(-2 + 0 + u). Let k be 0/(-7) + ((-34)/(-10) - 1). Is n less than k?
True
Let j = -16 - -39. Let g = j - 49. Let b = g + 26. Which is bigger: 5 or b?
5
Let q(m) = -m**2 - 16*m - 70. Let d be q(-25). Is d < -296?
False
Suppose p - 58 = -3*i + i, -5*i = -5*p - 115. Let q be -2 + 52/(0 + -2). Let j = i + q. Is -1/43 bigger than j?
True
Let g = 4 + -1. Let v(w) = 4*w - w + 1 - w - 4*w**3. Let h be v(-1). Is g bigger than h?
False
Suppose -3*x - 2124 = 3*g, -g = x + 4*g + 728. Let j = -7719/11 - x. Is 0 at most j?
True
Let y = 171 - 172.1. Which is greater: y or 4?
4
Let n(v) = v - 1. Let s be n(5). Suppose s*c = -3 - 1. Let a(l) = 7*l**2 - 1. Let b be a(c). Which is smaller: 7 or b?
b
Let s(b) = -3*b + 18. Let y be s(6). Suppose g = -y*g + 6. Is 6 > g?
False
Let d(k) = 9*k + 11. Let p be d(-4). Let x = 16 - p. Suppose -4*a - 37 + x = 0. Which is bigger: 5/7 or a?
a
Let n be 2/(-6) + 19/3. Suppose 0 = -2*x + 8, 0*f - 2*x + 16 = -2*f. Let s be ((-24)/48)/(n/f). Which is bigger: 1 or s?
1
Suppose -i - 20 = -3*a, -a - 2*i + 10 = i. Let h = 1 + a. Suppose -5*z + 7 = 3*m, 3*m = -z - 3*z + h. Is z less than or equal to -2/5?
True
Suppose 0 = 5*w - q - 43, -3*w - 2*q + 0*q + 31 = 0. Let u = w - 17/2. Let r = 0.7 - -0.3. Which is smaller: u or r?
u
Let f = 0 - 0. Let w = 313007/48 + -6521. Which is smaller: w or f?
w
Suppose 23*n - 18*n = -15. Let o be (2*4/30)/(2/n). Which is greater: o or 0?
0
Let i be (-2)/(-5) - (-14)/(-35). Let r(o) = -o**3 + 2*o**2 + 6*o - 6. Let m be r(3). Let s be -4 + 2276/324 - m. Is i <= s?
True
Let b(r) = -3*r - 8. Let u(s) = -5*s - 15. Let l(h) = 11*b(h) - 6*u(h). Let p be l(-2). Is p bigger than 9?
False
Let g(l) = 5*l**3 + 13*l**2 - l. Let w(s) = -14*s**3 - 38*s**2 + 3*s - 1. Let h(r) = -17*g(r) - 6*w(r). Let z be h(7). Which is smaller: -11 or z?
-11
Let c be (43/55 - 1) + (-8)/(-20). Let w = -17 + 11. Let v = -3 - w. Which is smaller: v or c?
c
Let k = 41/2 - 19. Let v(u) be the third derivative of -u**4/24 + 7*u**3/6 + 3*u**2. Let l be v(4). Does k = l?
False
Let h(p) = p**3 - 73*p**2 - 78*p + 292. Let w be h(74). Let i be 19/(-6) + 2/3. Which is smaller: w or i?
w
Let r(v) be the second derivative of -v**5/20 - v**3/6 - v**2/2 + 9*v. Let p be r(-1). Let h be 0/p*(-3)/(-6). Is h bigger than -2?
True
Let u(n) = n**3 - 6*n**2 + n - 7. Let m be u(6). Suppose 17 = -55*x + 77*x - 39*x. Is m equal to x?
True
Let u = 1/252 + -509/1260. Are 23 and u unequal?
True
Let s = 9.49 - -84.51. Is -0.2 greater than s?
False
Suppose -y + 10 = -6*y, 0 = 3*d + 3*y. Let n = 6/875 + -2311/5250. Let z = 8/5 + n. Which is greater: z or d?
d
Suppose -n - 2 = -4*b - 4, 2*b + 2 = n. Suppose 0 = -3*v - k + 6*k + 111, b = -5*v + 2*k + 185. Which is bigger: 36 or v?
v
Let l be 16/(-4) - (-12)/1. Let z = -3 + 9. Which is smaller: l or z?
z
Let j = 40.9 - 45.9. Which is bigger: j or 7?
7
Suppose -d + 597 = -2*m, 12*d = -5*m + 15*d - 1492. Which is smaller: m or -298?
m
Let j(z) = z**3 + 4*z**2 - 4*z + 6. Suppose 11 - 5 = -2*v. Let r(y) = -2*y**2 - 4*y + 1. Let f be r(v). Let s be j(f). Is -5 less than or equal to s?
True
Let i = 0.053 - 9.053. Which is smaller: -0.05 or i?
i
Suppose -2*j = h + 9, -h + 8 = 2*h - j. Suppose 2*y = -4*a - 2*y - 28, -3*y - h = -a. Let c be ((-12)/a)/(10/25). Is 6 smaller than c?
False
Suppose 5*x = -5*r + 60, -5*r + 33 = -2*r + 4*x. Let g be (2/r*5)/(4/312). Is g at least as big as 53?
False
Let v be -1 + 3*78/(-9). Let q = v + 19. Let h be ((-4)/q)/((-1)/(-4)). Is h >= 1?
True
Let s(u) = 4*u**2 + 2*u + 5. Let c(w) = 7*w**2 + 5*w + 10. Let f(a) = -3*c(a) + 5*s(a). Let o be f(-2). Let b = -2/259 + 1576/2849. Which is greater: b or o?
o
Suppose 0*d + 4 = -4*d. Let p be (0 + 2/(-20))*3147. Let q = p - -315. Which is smaller: q or d?
d
Suppose 33*u = 367 + 260. Which is bigger: 37 or u?
37
Let f be ((-6)/(-5))/((-168)/148400). Which is greater: -1059 or f?
-1059
Let p = 2 + -1. Suppose 498 + 990 = 222*d - 234*d. Is p smaller than d?
False
Suppose -3*x + 88 = -53. Let l be 362/8 + 2*1. Let a = l - x. Which is smaller: a or -3?
-3
Let w = 529/1267 + 2/181. Let o = 3175832/91 - 34900. Let v = o + 6/13. Is v < w?
True
Let v(m) = -m**3 - 11*m**2 - 3*m + 13. Let j be v(-11). Let r = j - 31. Is r less than 15?
False
Let t = 92 - 50. Let n = -43 + t. Which is bigger: -2/5 or n?
-2/5
Let i be 2/203*(440/(-33) - -11). Suppose 3*c + 2*o - 3 - 6 = 0, -5*c - 3*o + 14 = 0. Which is smaller: i or c?
i
Let a(k) be the second derivative of -k**4/6 - k**3/6 - k**2/2 + 12*k. Let d be a(-2). Is -7 != d?
False
Let i = -1 - -5. Let m = -2 + i. Is m less than or equal to -0.8?
False
Let t be 4563/(-21) + -1 + (-36)/(-28). Which is bigger: t or -1?
-1
Let c = 5.2 - 5.3. Let v = 1.1 - -3.9. Let u = v + -4. Are u and c nonequal?
True
Let t = -0.237 + -0.763. Which is bigger: t or -1/53?
-1/53
Let d = 4 + 0. Suppose -99*v = -96*v - 516. Let h = 171 - v. Which is smaller: d or h?
h
Let c = 1120 + -1117.4. Is -9/4 less than c?
True
Suppose -3*o = -3*x - 42, o + o - 31 = 5*x. Is o smaller than 4?
False
Let c = 11 + -168. Are c and -158 equal?
False
Let z(j) = 4*j**3 + 30*j**2 - 15*j + 3. Let i be z(-8). Which is smaller: -29/7 or i?
i
Let m be 4/((-1)/(14/4)). Let o = 8 + m. Let a be 30/(-4) + (-3)/o. Which is greater: -6 or a?
-6
Let m = -156 + 157. Let f be ((-12)/(-80))/((-12)/(-10)). Which is smaller: m or f?
f
Suppose 15*c - 20 = -185. Let a = c + -38. Is -48 greater than a?
True
Let o be 51/9 - 5/(-15). Let q be 1 + ((-16)/o - -1). Let v = 3.89 - -0.11. Which is greater: v or q?
v
Let g(m) = -m**3 - 6*m**2 + 2*m + 3. Let q be g(-5). Let j be (q/6)/4*12/232. Which is smaller: 1 or j?
j
Let x(a) = 2*a**2 - 7*a + 8. Let f be x(3). Let m be 2/f - 33/45. Which is greater: -1 or m?
m
Let r(u) = -6*u**2 - u**3 + 2*u**2 + 2*u - 2 + 0 + 1. Let w be r(-4). Is -9 greater than w?
False
Let q = -5 + 11. Let p = -1496 + 7509/5. Let o = q - p. Which is smaller: o or 5/3?
o
Suppose 4*z + 16 = 3*q, -4*q = 9*z - 4*z + 20. Which is greater: q or 1/763?
1/763
Let j = 0.37 - -11.43. Are j and 0 nonequal?
True
Suppose 4860 = -11*k + 5*k. Which is smaller: k or -809?
k
Suppose 0 = 2*l - 61 + 59. Are l and 2/7 nonequal?
True
Let v be (-176)/63 + ((-280)/(-45) - 6). Suppose 0 = -3*t - 17 + 5. Do t and v have the same value?
False
Let s = 3.79 - 4. Let l = -0.14 - -0.25. Let j = l + s. Which is smaller: 2/3 or j?
j
Let c = 471760/143 - 3299. Is 0 bigger than c?
False
Suppose -3*d = -3*r - 21, d + 5*r + 5 + 0 = 0. Which is greater: d or -7?
d
Suppose 0*x = -17*x - 306. Let i = 9 + x. Do -8 and i have the same value?
False
Let z = 8666/3 - 44593/15. Is z greater than -85?
True
Let z = -284 + 305. Is z less than 43/2?
True
Let r = 739/21 - 258/7. Is r greater than -1.01?
False
Suppose -2*j + 124 = 2*l, 2*l - 2*j + 0*j = 140. Let m = l - 50. Is 82/5 >= m?
True
Suppose -s + 3 = 1. Which is smaller: 14/13 or s?
14/13
Let i = -1131 - -1077. Which is smaller: i or -56?
-56
Let z(m) = 3*m**2 - 4*m**2 - m + 17 - 18. Let v be z(5). Do v and -32 have the same value?
False
Let s be (1 - (0 + 1))/2*1. Suppose s = -z - 0*z. Which is greater: z or 4/15?
4/15
Let m be 30/(-3*(-6)/9). Suppose 6*k = 3*k + m. Suppose k*g = 2*g. Are 1/3 and g non-equal?
True
Suppose i = 5*i + 12. Let o be -3*-2*i/9. Suppose 0 = 5*w - w. Which is smaller: o or w?
o
Let i be (-8)/12*(-5)/(-75). Which is bigger: i or 4?
4
Let t be (-2)/7 - (-5 - 95/(-35)). Let p(i) b
|
{
"pile_set_name": "DM Mathematics"
}
|
- 15 = 3*g + 3*r for g.
-3
Let j = 16931 + -16925. Solve 2*a = 3*r + j, a + 11 = -4*r + 14 for a.
3
Suppose -80 + 62 = -a. Suppose x = 4*m - 18, -7 = -5*m + a. Solve -14 = p + 5*b, 3*b = -5*p - x*b - 30 for p.
-4
Let z be 6/(-9) + (-780)/(-9). Suppose -91*q + 20 = -z*q. Solve -2*s + q = -2*a - 3*s, 2*s - 4 = 0 for a.
-3
Let h be ((-4)/2)/(11/((-484)/11)). Let w = -8 - -12. Suppose -6*o + w*o + 4 = 0. Solve h = -0*i + 3*i + 2*k, -k + 4 = o*i for i.
0
Let d(r) = 4*r**2 + 20*r + 3. Let l(q) = 93*q - 5. Let a be l(0). Let s be d(a). Solve -16 = 3*u - 5*v, -s*v + 12 = -u - 0*v for u.
3
Let g be 408/88 + 104/286 + (1 - 1). Solve 2*b - 9 = g*y, 4*y + 9 = 4*b - 3*b for b.
-3
Let i be -1*2/(-4)*0. Suppose -6*x = -4*x. Suppose x = 25*z - 2*z - 46. Solve 10 = -o + 3*y, -z*o = -y - i*y + 5 for o.
-1
Let d be 4/(-8)*8/4*-5. Suppose -252 = 12*q - d*q. Let c = q + 40. Solve 5*x + y = 24, -c*y - 19 = -3*x - 0*y for x.
5
Let f = 40 + -35. Suppose f*z - 106 = 44. Let v be 80/z*((-6)/(-8) - 0). Solve 3*u - 2*a + 1 = 0, v*a = -4*u - 2*a + 32 for u.
3
Let x = -584 + 584. Let w(k) = -k - 3. Let s be w(-8). Let m = s - 1. Solve -m*q + 4*u = 20, -5*q + q - u - 10 = x for q.
-3
Let s(i) = i + 14. Suppose 122 = 3*c + 149. Let a be s(c). Solve 5*y = -a*k + 20, y + 3*k - 4*k + 6 = 0 for y.
-1
Let v = 4827 + -4825. Solve -q = 5*y - v + 1, -2*y = -5*q - 22 for q.
-4
Let l = -108 + 90. Let y(g) = -g + 12. Let z be y(l). Let v be -5*((-10)/6 - (-20)/z). Solve k = -v*c - 4*k, 4 = -k for c.
4
Let q be (-981)/327 - (-1 - 1 - -3)*-8. Solve -j + 41 = 5*m, q*j - 16 = -m - 3 for m.
8
Suppose k - t + 3 = 0, -8 = 27*k - 26*k - 2*t. Solve j = 18*l - 15*l - 10, -k*l - 10 = -4*j for l.
5
Suppose -8*v - 3*v + 0*v = -12*v. Solve 5*a + 269 = -2*m + 274, -a - 1 = v for m.
5
Let x = -13971 - -14001. Solve -9*c + 6*c - 3*a + x = 0, -2*c = 5*a - 32 for c.
6
Let k(x) = x**3 - 7*x**2 + 8*x - 9. Let r be k(6). Suppose -r*l - 4*l = 329. Let a = l + 49. Solve -a*t = -3*j - 21, 3*j + 2*t + 1 = -8 for j.
-5
Let t = 10 + 58. Let c = t - 11. Suppose -4*q + 69 = c. Solve q*f + o - 2 = f, -5*o = -4*f + 32 for f.
3
Let y(k) = 198*k - 6. Let d be y(1). Let b be 8/d*4 - 850/(-12). Suppose 75*t - 12 = b*t. Solve 6 = 5*m - m - t*g, 5*m - 5*g - 5 = 0 for m.
3
Let z = 46 + -38. Let y(f) = -2*f**3 + 14*f**2 + 15*f + 12. Let l be y(z). Solve 4*a = 5*q + 17, a + 12 = -l*q - 10 for q.
-5
Let d be ((-114)/12)/((-8)/16). Solve 16 = 2*p + p - 2*b, -3*p = 5*b + d for p.
2
Suppose 4*i - 2 = 3*c, 0 = -6*c + 4*i - 27 + 31. Solve 10*r - 12*r + 4*z = 2, 5 = -c*r + z for r.
-3
Suppose -990*r - 7 = -997*r + 14. Solve 0 = r*c + 3*v - v - 9, -3*c + 4*v = -27 for c.
5
Let r(j) = j**2 + 3*j + 1. Let k be r(5). Suppose k*g - 25 = 36*g. Solve 4*s - g*f + 19 = 3, -5*s = -3*f + 20 for s.
-4
Suppose 8 = 5*r + 3, r = -4*o + 33. Let k(s) = -s**2 + 2*s + 3. Let l = 125 + -125. Let n be k(l). Solve -b - n*c = o, 4*c + c = 4*b - 2 for b.
-2
Let p = -1495 - -1499. Solve -4*z - 16 = u, -3 + p = -3*z + 2*u for z.
-3
Suppose 0 = 3*m + 4*n - 6, 0*m + 4*m - 8 = 2*n. Solve -m*a = -5*f + 25, -17*f + 22*f - a - 20 = 0 for f.
3
Suppose -4 = 2*a - 0*a - 4*n, 4*n - 22 = -a. Suppose 4*u = u + a, -5*u = 2*d - 10. Let z be 24 - (3 - 2)*1. Solve -4*p + 2 = -2*v - d*v, -5*v - z = -p for v.
-5
Let i be -1 - (1 - 5 - 115/(-69))*3. Solve 2*t - i = n, 0 = 2*t - 24 + 18 for n.
0
Suppose -5*k + 8 = -3*k - n, 3*k + 5*n - 12 = 0. Suppose -k = 5*q - 19. Solve -w = 3*w + 5*l + 20, -w + q*l + 12 = 0 for w.
0
Let h(a) = a. Let v be h(0). Let k = -49726 - -49731. Solve v*r + 22 = r - k*c, 18 = r - 4*c for r.
2
Let u(s) = -s**3 - 15*s**2 + 16*s + 423. Let y be u(-14). Solve 5*d - 1 = -2*a + 8, y*d = -2*a + 7 for d.
1
Let c be 14/(-4)*(-93)/(-651) - 14/(-4). Solve 4 = s - g - c*g, -3*s = -4*g - 4 for s.
0
Let s(b) = 12*b**2 + 29*b + 29. Let q be s(-1). Let i(z) = -26*z + 312. Let w be i(q). Solve -3*r - f - 3 = w, -2*f + 6 = -r - 4*f for r.
0
Suppose -2*w = -4*b + 182, 4*w + 5*b + 379 = 10*b. Let h = 133 + w. Suppose i + 27 = h. Solve 2*p - i*p = 5*x, 4*x + 3*p + 3 = 0 for x.
3
Let u be 3 - 0*(-4)/24*-6. Solve 0 = i + 2*c, -u*i + 4 = 5*c + 2 for i.
4
Let o(v) = v**2 - 215*v + 1256. Let j be o(6). Solve -2*l + g - 12 = 0, -16*l - 6 = -15*l - j*g for l.
-6
Let q = 113 + -105. Suppose -q*k = -15*k + 42. Solve 4*r - k = 2*r, -x + 5*r - 12 = 0 for x.
3
Let p(l) = 2*l - 12. Let b be p(8). Suppose 4*h - 17 = -5*q, -2 = -h - b*q + 5. Suppose 0 = -11*u + 63 + 69. Solve u = 5*w + t, 2*w - 4 = -3*w + h*t for w.
2
Suppose 0 = 3*u + 3*n - 6, 4 = 4*u - 3*n - 11. Suppose u*l = -4*l + 21. Let p be (48/(-40))/(l/(-10)). Solve -19 + 7 = -4*z - p*r, -5*r + 29 = -2*z for z.
-2
Let t(y) = -y**2 + 9*y + 80. Let w be t(13). Solve 2*f = b + 7, -4*b + w*f + 8 = 29*f for b.
1
Let d = 600 + -212. Let b = d - 385. Solve 5*k - 4*j = -0 - 4, b*k - j + 1 = 0 for k.
0
Suppose 0*v - 3*x + 31 = 5*v, 3*v - 4*x - 7 = 0. Let z be 118/(-1121) + (-2 - (-650)/38). Solve p + 3 = -4*i - 12, v*i = -5*p - z for p.
1
Let g(t) = -107*t + 2464. Let v be g(23). Solve -16 = -5*a - 4*c, 0 = v*a - 0*c + 4*c - 8 for a.
4
Suppose -23*s = -22 - 17 - 53. Solve -r = s*r + 3*x + 19, 0 = -4*x + 8 for r.
-5
Let q = 30 + -26. Let z(r) = 2 + 9*r + q - 7*r - 3*r. Let b be z(3). Solve b = -4*m - 3*y, m = -2*y + 4*y + 13 for m.
3
Let o be 5/20 - (-19)/4. Let t = -14956 - -14959. Solve 0 = -4*s, -o*l + 2*s + t*s + 25 = 0 for l.
5
Let l(v) = -228*v + 927. Let t be l(4). Solve 45 = -i + 48, 4*o + t = i for o.
-3
Let d be (0 + -2)*(7 - 8). Let y(o) = o**2 - 3*o + 2. Let c be 2/7 - (-24)/14. Let x be y(c). Solve 31 - 1 = d*r + 5*h, -5*r + 3*h + 13 = x for r.
5
Suppose -x = -4*x + 21. Suppose -6*b + 40 + 20 = 0. Suppose b*k - 18 = 42. Solve 2*i - 4*o = -k*o + 16, 2*i - o = x for i.
5
Suppose -17 = -h + k, -4*k - 22 - 4 = -h. Let c(l) = -4*l + 66. Let m be c(h). Solve -2*d + 7*d + m = -5*u, 2 = -4*d - 2*u for d.
1
Let c be (-3)/(-6) - 8407/(-14) - -3. Let i = c - 579. Solve -5*w = -4*m + i, 3*w - w + m = 3 for w.
-1
Let l(d) = -d**3 + 16*d**2 - 15*d + 8. Let h be l(15). Suppose 8*q = 32 + h. Solve -2*k - 2*j = -2, k + q + 0 = j for k.
-2
Let w be 228/(-2052) - 2/(-18). Solve 4*f - 20 = w, -4*i + 3 - 2 = f for i.
-1
Suppose 4*d - 32 = -3*l, -2*d - 245*l + 241*l + 26 = 0. Solve -12*a + 7*a = 2*r + 20, d*a - 4*r = 10 for a.
-2
Suppose 0 = 2*a - 5*d - 24, -2*a + d - 29 = -45. Solve -2 = 4*m - 3*r - a, 0 = r + 3 for m.
-1
Suppose 4*w + 29 = 5*f, 5*w = -2*f + 34 + 4. Solve 4*t - 5*g = 1, 0 = w*t + 125*g - 124*g + 29 for t.
-6
Let i(g) = 2*g**3 + 11*g**2 + 45*g + 135. Let h be i(-4). Solve c + 13 = -h*j - 0*j, 5*c + 25 = -5*j for j.
-4
Let z(m) = m**2 - m - 44. Let n be z(7). Let v be 1/((-6)/6)*n. Solve 0 = -o + 2, -3*k - o = v*k - 12 for k.
2
Suppose -2*i + 14 = -2*x, 0 = -11*i + 13*i - 4*x - 22. Solve 4*r + 121 = -i*o + 117, -2*r = o for o.
-4
Let s(p) = -p - 11. Let d be s(-9). Let l be (5/2)/((-1)/d). Suppose 79 = 14*g + 37. Solve 3*u = -2*t - l, 5*t - g*u = -u + 16 for t.
2
Let a be (-100)/(-28) + (-30)/(-70). Solve a*p - 4*x = -4, 2*p - 5*x - 389 = -379 for p.
-5
Suppose -63*t + 31 = -221. Solve t*y + 2 = y - 4*s, -2 = -2*s for y.
-2
Suppose 0*g - 18 = g. Let y = g + 21. Suppose -a + 5*a - 12 = 0. Solve 3*i = -2*x + 15, a*i - 3 = y*x + 12 for x.
0
Let q be (3 + -1)*30/20. Suppose 3*d = 3*y + 6*d - 24, 0 = -q*d + 15. Solve -4*o - 2*b = -14, 9 = 6*o - 3*o + y*b for o.
4
Let s be 25*(-200)/8*1. Let u = s + 628. Solve -4*z = 3*j - 25 + 5, 26 = u*z + 5*j for z.
2
Let o be 54/(-12)*(-8)/6. Suppose -2*n = -v, 3*v - 30 = -o*n + 2*n. Suppose 0 = v*c + 2*c - 24. Solve -5*g = 2*s - 2, -5*g + c = 6*s - 3*s for g.
0
Let r = -1331 + 1333. Solve 2*q = 4*x - 24, 0 = q - r*x + 5*x - 13 for q.
-2
Let m be 36/(-9)*3/(-2). Suppose -t - m = -4*t. Solve t*n - 13 = 3*j, 4*n = 5*n - 3*j - 8 for n.
5
Suppose 5*v = -20 - 0. Let u be (0/2)/(0/v - 1). Solve 3*s - 2*o + 10 = u, 0*o + 5 = 5*s + o for s.
0
Let h = 3255 - 3250. Let d(t) = -4*t**2 + 8*t - 6. Let j be d(5). Let y be (-1)/(3/j*2). Solve 4*b + w + 7 = 3*b, -y = h*b - w for b.
-3
Suppose 3 = -z, 10*x - 110 = 5*x + 5*z. Suppose 23 + x = 6*n. Suppose -n = -4*p + 1. Solve j = 3*i + 11, 0 = -2*i - j - j - p for i.
-3
Let d(i) = -i**2 + 11*i + 16. Let b be d(13). Let c be (-46)/115 + (-34)/b. Solve -3*h - 4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(114))*3)/sqrt(6) + 3))**2.
450*sqrt(19) + 4500
Simplify -1*((5 + (sqrt(5) + -2)**2 + -1 - (((sqrt(35) + sqrt(35)*2)*-5)/sqrt(7))**2) + 5).
4*sqrt(5) + 1107
Simplify ((-1 + (sqrt(432) - (sqrt(432) + 2)))*5*2 + 3)**2.
729
Simplify -5 + ((sqrt(91) + (sqrt(91)*-1 - sqrt(91)))*3)/(1*-4*sqrt(7)).
-5 + 3*sqrt(13)/4
Simplify ((sqrt(104) + 2*sqrt(104))*2)/(sqrt(242)*1*5 + sqrt(242)) + 1.
2*sqrt(13)/11 + 1
Simplify 3*((-5*sqrt(36))/(sqrt(6)/(sqrt(12)/sqrt(6))) + 2).
-30*sqrt(3) + 6
Simplify -2*(sqrt(1008) + -2 + 1*sqrt(1008))**2*-5.
-960*sqrt(7) + 40360
Simplify ((sqrt(304) - ((sqrt(304) - sqrt(304)*1) + -5)) + (1 + sqrt(304))*-2 + -2)**2.
-8*sqrt(19) + 305
Simplify -1*(sqrt(147) + sqrt(147) + (sqrt(147) - (sqrt(147)*-3 - sqrt(147) - sqrt(147)))*-1 + sqrt(147) + (-4*(-3*sqrt(147) - sqrt(147)) - sqrt(147)))**2.
-21168
Simplify ((2 + sqrt(539) + -3)**2 - (sqrt(539) + sqrt(539)*2 + -2))*3.
-105*sqrt(11) + 1626
Simplify ((-2*sqrt(121)*4 - ((sqrt(121)*-2 + sqrt(121))*-3 - sqrt(121)))/(-3*2*sqrt(99)))**2.
275/81
Simplify (4*(sqrt(91) + (sqrt(91) - (sqrt(91) + (sqrt(91) + 2*sqrt(91))*-3))))/(-1*sqrt(112) - 2*sqrt(7)*-3).
20*sqrt(13)
Simplify (((sqrt(16) + (sqrt(16) - sqrt(64)) + sqrt(16))/sqrt(2) - ((sqrt(16)*1)/sqrt(8) + 5)) + -4)**2.
-18*sqrt(2) + 83
Simplify (-4 + (sqrt(14) + sqrt(14) + sqrt(14)*2 + sqrt(14))/sqrt(2) + 2)*1*6.
-12 + 30*sqrt(7)
Simplify (sqrt(22)/sqrt(44) + 2 - ((sqrt(2) + 2 - sqrt(2)) + 5 + (sqrt(16)/(sqrt(32)/sqrt(4)))**2)) + 1.
-6 + sqrt(2)/2
Simplify -2*6*4*(sqrt(343) + -1 + -4).
-336*sqrt(7) + 240
Simplify -2 + (-1*sqrt(108)*1*1 - 2*(sqrt(108) + 1)*-1).
6*sqrt(3)
Simplify 2*(1 + sqrt(153) + -4 + -1*sqrt(153)*5).
-24*sqrt(17) - 6
Simplify (((sqrt(252)*-2 - sqrt(252))/sqrt(3))/(sqrt(7) - (sqrt(252) + sqrt(252) + 1*sqrt(252)) - sqrt(7) - (sqrt(63) - sqrt(63)*2)/sqrt(9)))**2.
108/289
Simplify (-1*(-3 + sqrt(147)) + (sqrt(3) + sqrt(21)/sqrt(7) + 4 + sqrt(3))*3)**2.
60*sqrt(3) + 237
Simplify (4*((sqrt(121)*-1 - sqrt(121)) + sqrt(121))*-5)/((sqrt(176) + 2*sqrt(176))*-4)*-4.
5*sqrt(11)/3
Simplify -2 + 5*((-1*sqrt(272) - sqrt(272)) + sqrt(17) - (sqrt(17) + sqrt(272)*1)**2).
-2127 - 35*sqrt(17)
Simplify 4*((sqrt(320) - (-1 + sqrt(320) - sqrt(320))) + 2)**2 - (6*(-1*sqrt(320) - sqrt(320)) + -2)**2.
-44768 - 192*sqrt(5)
Simplify -1*(-3*(-1 + sqrt(300) + 3))**2.
-2736 - 360*sqrt(3)
Simplify (-2*(sqrt(11) + -2) + (sqrt(1188) + sqrt(33))/sqrt(3) + sqrt(11) - (sqrt(891) + 0 - sqrt(275)*-2)*-3)**2.
504*sqrt(11) + 43675
Simplify -2*(1*-1*sqrt(90))/(sqrt(18)*-1).
-2*sqrt(5)
Simplify (sqrt(228)/(1*sqrt(12)) - sqrt(152)/(sqrt(8)*3)) + (-2 + (2*sqrt(152) - sqrt(152))/sqrt(8))*-6.
-16*sqrt(19)/3 + 12
Simplify (6*(-5 + sqrt(847) + -1) - (0 + 2*(sqrt(847) + 1)))**2 + 0.
-3344*sqrt(7) + 14996
Simplify (sqrt(17) - (sqrt(17) + 0))**2*2 + (sqrt(34)/(sqrt(6)/sqrt(3)))**2 - (-5*(sqrt(204) - (sqrt(204) - 4*sqrt(204) - sqrt(204))))/sqrt(12).
17 + 25*sqrt(17)
Simplify ((3*-2*sqrt(144) - sqrt(144) - sqrt(144) - sqrt(144))/sqrt(12) + (5*(sqrt(12) - -1*sqrt(12)) - (sqrt(1200) + -2*sqrt(1200) + sqrt(1200))))*-5.
-10*sqrt(3)
Simplify -5 + ((1*sqrt(250))/sqrt(10))/(sqrt(5) + 6*sqrt(5)*-2).
-5 - sqrt(5)/11
Simplify (-1*-2*sqrt(756))/((sqrt(112) - (sqrt(112) - (sqrt(112) + -2*sqrt(112))))*-1).
3*sqrt(3)
Simplify 3*(((sqrt(77) - 5*(sqrt(77) + (sqrt(77)*2 - sqrt(77))))*1)/((sqrt(42) - sqrt(84)/sqrt(2))/sqrt(6) - sqrt(28)/sqrt(4)*-2))**2.
2673/4
Simplify ((sqrt(972) - 1*sqrt(972))*-1)/(2*sqrt(216)/sqrt(6)) + -5.
-5
Simplify ((sqrt(931) - (sqrt(931) + -2)) + 0)**2 - (sqrt(931) - (sqrt(931) + 0 - sqrt(931)))*1.
-7*sqrt(19) + 4
Simplify -1*(1 + ((sqrt(500) + -1*sqrt(500))*4)**2)*5.
-5
Simplify -4*(3*(sqrt(15)/sqrt(3) + -4) + ((0 + sqrt(5) - sqrt(5)) + 4)*3)**2*-3.
540
Simplify 3*(1 + (sqrt(1584)*4*-4)**2*6).
7299075
Simplify 5*(sqrt(95)/sqrt(5) + 4)*-5*6.
-150*sqrt(19) - 600
Simplify 1 + (-1*sqrt(567))**2*3 + -4.
1698
Simplify sqrt(30)/(sqrt(6) + sqrt(30)/sqrt(5))*2 - (4 + 1 + sqrt(5) - (1 + sqrt(5) + -3)).
-7 + sqrt(5)
Simplify ((sqrt(140) + sqrt(140)*1)/(sqrt(175)*2) + -2)*-2.
-4*sqrt(5)/5 + 4
Simplify (1*sqrt(147)*1 - 5*(sqrt(147) + -1) - (0 + -2*sqrt(147)*-2))**2*5.
-2800*sqrt(3) + 47165
Simplify (4*(sqrt(125) + (sqrt(125) - -6*3*sqrt(125)) + -4))**2.
-12800*sqrt(5) + 800256
Simplify (1*(2*sqrt(35)*3)/sqrt(5))**2 + ((sqrt(1008) + (2*(0 + sqrt(1008)) - sqrt(1008)))*-4)**2.
64764
Simplify (sqrt(104) + 1*sqrt(104)*-1)/(1*sqrt(800)) + -3.
-3
Simplify (-1 + sqrt(612) + -4 + -2*(-4*sqrt(68)/sqrt(4) - sqrt(17))**2)*5.
-4275 + 30*sqrt(17)
Simplify (sqrt(78) + sqrt(78) + (sqrt(78) - (sqrt(78) - 5*5*sqrt(78))) + sqrt(78))/(2*4*sqrt(6)).
7*sqrt(13)/2
Simplify 5*-3*1*sqrt(396)*3.
-270*sqrt(11)
Simplify (-2*(-3*(sqrt(2299) - sqrt(2299)*-5) + -1*sqrt(2299) + -3))**2.
5016*sqrt(19) + 3319792
Simplify ((sqrt(384)*1)/(sqrt(200)*-1) + 2*(sqrt(432) + -1 + sqrt(432))*-1)**2.
-976*sqrt(3)/5 + 178708/25
Simplify (sqrt(140)*-3)/(sqrt(80)*6).
-sqrt(7)/4
Simplify ((sqrt(252) - (0 + sqrt(252) - sqrt(252))) + sqrt(7) + -5 + sqrt(63))**2 + 1 + (sqrt(49) + sqrt(441))/sqrt(7).
-96*sqrt(7) + 726
Simplify (sqrt(187)/(sqrt(11)*1) - sqrt(1377)*-1) + sqrt(17) + sqrt(2057) + 0 + -1.
-1 + 22*sqrt(17)
Simplify (1*((sqrt(60)*-2 + sqrt(60))/sqrt(10) + sqrt(6)))/(1*sqrt(288)*-1 - sqrt(288))*4.
0
Simplify -6*((sqrt(450) + sqrt(450) + sqrt(450)*2)/sqrt(10))/(sqrt(225) + sqrt(225)*-2).
24*sqrt(5)/5
Simplify (3*sqrt(72)*3)**2 - (5 + sqrt(2) + (sqrt(2) - sqrt(2)*3))*-1.
-sqrt(2) + 5837
Simplify -5*((sqrt(14)/sqrt(2)*-5 - (4 + sqrt(14)/sqrt(2))) + 1*(sqrt(112)/sqrt(4) + sqrt(28))).
20 + 10*sqrt(7)
Simplify (((sqrt(1900) + 0 + sqrt(1900) + sqrt(1900) - sqrt(1900)) + 2 + -4)*4 + -1 + -4)**2.
-2080*sqrt(19) + 121769
Simplify (4*(sqrt(76)*-2 + sqrt(76)) + sqrt(76))/((sqrt(4) - (sqrt(4) + sqrt(12)/sqrt(3)))*-6).
-sqrt(19)/2
Simplify sqrt(1100) + (sqrt(1100)*-3*-2)**2 + 3*sqrt(1100)*-6 + -1.
-170*sqrt(11) + 39599
Simplify -5*(sqrt(252) - sqrt(252)*-1 - sqrt(252))*5 + (3 + sqrt(252) + -3 + -2)**2.
-174*sqrt(7) + 256
Simplify -6*(-2 + (6*(sqrt(363)*-4 - sqrt(363))*5)**2).
-49004988
Simplify (((1 + sqrt(847) - sqrt(847) - sqrt(847))*-5)**2 - sqrt(847)) + ((sqrt(77) - (-2*sqrt(77) + sqrt(77)))*-6)/sqrt(11).
-573*sqrt(7) + 21200
Simplify (1 + (sqrt(4) - 3*sqrt(100))/(sqrt(128) - (sqrt(128) + sqrt(128)*-2)))**2.
-7*sqrt(2)/4 + 81/32
Simplify 6*-1*(2 + 5*(sqrt(300) + sqrt(300)*1) + sqrt(300)).
-660*sqrt(3) - 12
Simplify ((-1*(sqrt(2112) + -2*sqrt(2112) + sqrt(33)))/((sqrt(3) + (sqrt(3) - sqrt(12)/sqrt(4))*-1)*-6))**2.
539/36
Simplify (sqrt(228) - (sqrt(228) - (sqrt(228) + (sqrt(228) - (sqrt(228) - sqrt(228)*-2))))*-2 - sqrt(228) - sqrt(228))/(sqrt(12) + sqrt(300)*-3).
-3*sqrt(19)/14
Simplify (((sqrt(95)*-1 + sqrt(95) - sqrt(95) - sqrt(95))*6)/(sqrt(35)/(sqrt(7) - sqrt(63) - sqrt(7))))**2.
24624
Simplify (((2*sqrt(660)*-2)/sqrt(12))/(sqrt(11) - (sqrt(11) - (sqrt(11) - (-1*sqrt(396) + sqrt(396)) - sqrt(11))) - sqrt(77)/(sqrt(21)/sqrt(3))))**2.
80
Simplify -3*(1 + sqrt(832)) + -2 + (5 + (sqrt(78)/sqrt(6))**2 - (sqrt(91)*1)/sqrt(7)).
-25*sqrt(13) + 13
Simplify 1 + (sqrt(1152)*2 - sqrt(1152))/(-6*sqrt(12)/sqrt(3)).
-2*sqrt(2) + 1
Simplify 2 + (1*(sqrt(14) - sqrt(84)/sqrt(6)))/((sqrt(1296) + sqrt(16))/sqrt(8) - sqrt(2)).
2
Simplify (sqrt(132)/(sqrt(12) - sqrt(192)) + 3 + 2*(sqrt(1100) - (sqrt(1100) - (sqrt(1100) + 1) - sqrt(1100))))**2.
1190*sqrt(11)/3 + 155996/9
Simplify 4*(3 + 1*sqrt(17)*6 + sqrt(102)/(sqrt(6) - sqrt(150))) + -5.
7 + 23*sqrt(17)
Simplify ((sqrt(11) - (sqrt(1188) - sqrt(33))/sqrt(3))**2 + -4 - (-6*(sqrt(77) - (sqrt(77) + -4*sqrt(77) - sqrt(77))))/sqrt(7)) + 0.
30*sqrt(11) + 172
Simplify (2*1*sqrt(512))/(sqrt(324) + sqrt(324)*2 - ((sqrt(4) - (sqrt(48)/sqrt(4))/sqrt(3)) + sqrt(4))).
8*sqrt(2)/13
Simplify (sqrt(152) - (sqrt(152) - 1*sqrt(152))*-4 - (sqrt(152) + sqrt(152) + 4*sqrt(152)*2))/(sqrt(192)/sqrt(6) - (sqrt(160)/sqrt(4))/sqrt(5)).
-9*sqrt(19)
Simplify ((-1*sqrt(384) - sqrt(1176)*-1)/((1*sqrt(72))/sqrt(9) + sqrt(8) + sqrt(64)/(sqrt(8) + sqrt(128))))**2.
675/121
Simplify ((-3 + sqrt(180) + sqrt(180))*6 + sqrt(180) - sqrt(180)) + sqrt(180) - ((sqrt(180) - (sqrt(180) - (-3 + sqrt(180) + 2))**2) + sqrt(180)).
-17 + 66*sqrt(5)
Simplify (2*((sqrt(208) - (sqrt(208) - (sqrt(208) - (sqrt(208) + sqrt(208)*-3 + -2)))) + 2)
|
{
"pile_set_name": "DM Mathematics"
}
|
e of -p**5/20 + p**3/6 - 2*p. Let j(x) = 2*x - 4. Let g be j(2). Let c be y(g). Is c not equal to -2/3?
True
Suppose -k - 1 = -6*k - 4*t, t + 4 = 3*k. Suppose -6 = -5*x + 4. Which is greater: k or x?
x
Suppose -3*l = b - 5*b - 9, -2*l = 3*b + 11. Is l at least as big as -1/6?
False
Let x = 2 - 2.5. Let i = x - 0.5. Let o = -3 + 3.1. Does o = i?
False
Suppose -14*c + 15 = c. Which is greater: -1/92 or c?
c
Let m = -159 - -1111/7. Let g be (0 + 0)/(0 - 1). Which is bigger: g or m?
g
Let n(d) = d + 8. Let r be n(0). Suppose -5*w + 0*w - t = r, 3*w = -3*t. Is -4 <= w?
True
Let t be (1 - 5/6)*-1. Let l = 3 - 34. Let m = l - -125/4. Which is greater: t or m?
m
Let t = -0.004 - -0.004. Are 0 and t unequal?
False
Suppose -18 = 5*f - 2*a, -f = 2*a + 3*a + 9. Let q be 2/6 - f/6. Let o = 53.5 + -53. Is q at most o?
False
Let t(k) = -2*k - 3. Let x be t(-1). Which is greater: 2/7 or x?
2/7
Suppose 5*d + 77 - 543 = -4*r, d - 2*r - 96 = 0. Is d bigger than 94?
False
Let n = -2 - -3. Let q(d) = -d + 2. Let i be q(0). Let p be (2/(-4) + 0)*i. Is n smaller than p?
False
Suppose 63 = 5*j + 3. Which is greater: j or 11?
j
Let h be 10 + 0 + -2 + 4. Suppose o - h = 3*o. Let d = o + 47/8. Is 1 <= d?
False
Let t = 16.3 - 2.3. Let n = t - 13.9. Which is smaller: -1/6 or n?
-1/6
Let g = 11 - 10.9. Which is bigger: g or -2?
g
Let i = 138 - 137. Let m = 1.98 - -0.02. Is m bigger than i?
True
Let o = -0.4 - -0.7. Let t = o + -0.5. Which is bigger: t or -1?
t
Let s = -0.8 - -0.7. Which is smaller: 0.16 or s?
s
Let q(g) = -g**3 + 8*g**2 + 2. Let d be q(8). Suppose d*y = 10, -5*i - 5 = 4*y - 5*y. Which is smaller: i or -2/3?
-2/3
Let m = 29.13 - 29. Is m bigger than -1/4?
True
Let s = 5.6 - 0.6. Which is bigger: -4 or s?
s
Let c be 0 + (4/(-14))/(-1). Let z = 5.2 + -6. Let l = z + -0.2. Which is bigger: l or c?
c
Let p be ((-2)/(-6))/((-4)/3). Suppose -3 - 42 = -5*l. Let f be (3/l*-3)/1. Which is greater: f or p?
p
Let i(j) = -j**2 + j. Let q be i(2). Which is greater: q or -5/3?
-5/3
Let w be (-6)/9 + 8/18. Let i be 55/25*-1 - 2/(-10). Is i greater than or equal to w?
False
Let y = -3.7 + 4. Which is smaller: y or 0?
0
Suppose -3*x - n + 11 = 3*n, 0 = -n - 4. Let u(z) = -z - 8 + 8*z - 8*z + 2*z. Let o be u(x). Which is smaller: o or 2?
o
Suppose b + 1 = -3*v, 2*v + 1 = b - 2*b. Let f be 1 - (18/14 - 0). Is f equal to b?
False
Suppose -408 = 4*x + 4*z - 0*z, 0 = -5*x + 5*z - 540. Let r be 3/18 - x/(-846). Which is smaller: r or 1?
r
Suppose i + 3 = 1. Let r = -1003/42 + 159/7. Which is greater: i or r?
r
Let a(y) = y**2 - 3*y. Let p be a(2). Let u be 2 + p + (-20)/(-2). Let v be (-5)/(u/(-4)) - 0. Which is greater: -1 or v?
v
Let s = -2.044 + 0.044. Is -0.1 at least as big as s?
True
Suppose 0 = 4*u + 13 - 1, 5*b - 4*u = -28. Which is smaller: b or -6?
b
Suppose 2*t = -2*t + 28. Let x(p) = -p**2 + 4*p + 6. Let a be x(4). Is a bigger than t?
False
Suppose -3*y = 2*y - 5. Let k be 22/6 + y/3. Suppose z + k = 3*z. Which is bigger: 0 or z?
z
Let n = -71 - -68. Which is bigger: -0.8 or n?
-0.8
Let v(d) = -d - 6*d**2 - d**3 - 5*d**2 + 6*d**2 - 7. Let j be v(-5). Which is smaller: j or -6/11?
j
Let a(o) = -o + 6. Let y be a(7). Let q be (y/1)/(-2)*10. Suppose -3 = -5*g - 3*d - 38, q*g = -4*d - 40. Which is smaller: -3 or g?
g
Let y = -67/4 + 477/28. Is y smaller than 4?
True
Let z be -1 + 3/((-504)/(-417)). Let f = z + -13/8. Which is smaller: f or 0?
f
Let i be (8/6)/((-6)/(-9)). Let x be (-1)/((i/(-8))/1). Let a(n) = n**2 + n + 3. Let d be a(0). Which is smaller: d or x?
d
Let l = -1.5 + -0.5. Let w = 3 + l. Which is greater: w or -0.3?
w
Let l = 1751/636 + -1/318. Is l < 3?
True
Let c = -26 - -23.3. Is c greater than -2?
False
Let w = 11 + -21/2. Let d be (-2)/(((-20)/25)/(6/15)). Is w at least d?
False
Let a(f) = -f**3 + 6*f**2 - 3. Let w be a(6). Let g = w + 5. Let t = -1 + g. Are t and -2/7 equal?
False
Suppose -n + 5*y - 6 = y, -4*n + 6 = -y. Suppose n*b = -0*b - 2. Which is greater: b or -3?
b
Let v be 0/(12/3) - 0. Suppose 4*t + 15 = -1. Let y be (-1)/t + (-13)/20. Which is smaller: v or y?
y
Let b = 1.5 + -1.4. Which is bigger: b or -8?
b
Let n = -67041/854 + 1/427. Let u = 80 + n. Are -1 and u equal?
False
Let m = 1 + 1. Let q = 0.04 + -3.04. Let o = q + m. Is 2 >= o?
True
Let x be 26/(-1*1/2). Let z = 101/2 + x. Which is smaller: z or 1?
z
Let a = 4.7 - 4.9. Does a = -7?
False
Suppose 0 = -3*u - 2*z - 6, -2*z + 4 = 10. Let b be 2 + 0 - -1*19. Let t be ((-4)/(-6))/(b/(-9)). Is t at most as big as u?
True
Let f = -71 - -35. Let x = f + 106/3. Let a(w) = 2*w + 2. Let q be a(-2). Which is bigger: q or x?
x
Let x = -3 + 4. Do 0 and x have different values?
True
Let h = 1.7 - -0.3. Let l = 7.9 - 6.9. Let g = h - l. Is 1 at most g?
True
Let m = -10.92 - 0.08. Let z = m - -5. Let r = z - -5.9. Which is bigger: 5 or r?
5
Suppose -2*c - 2 = -0*c + a, 4*a = -c + 6. Suppose d + 5 = 3*q - 11, -5*d + 5 = 2*q. Let h be d*1/(5/c). Does h = 0?
False
Suppose 2*q = 6*q. Let g = 2/203 - -167/3654. Which is smaller: q or g?
q
Let c = -1038 - -11408/11. Which is greater: c or 0?
0
Let o(v) be the third derivative of -v**5/60 + v**4/6 - v**3/6 - 3*v**2. Let s be o(4). Which is greater: -5/6 or s?
-5/6
Let h(y) = -y**3 + 6*y**2 + 8*y + 6. Let l be h(7). Which is greater: -0.1 or l?
l
Let i(g) = g**2 + 6*g - 3. Let a be i(-12). Let l be 2/3 + a/(-9). Which is smaller: l or -6?
l
Suppose -3*p = -14 - 22. Let q = -8 + p. Suppose -q*n - 1 = 11. Which is smaller: n or -4?
-4
Let f = 30 - 28.3. Let c = 0.7 - f. Is c smaller than 6?
True
Let j(x) = -x**2 + 2*x + 3. Let c be j(-2). Let t be c/((-225)/(-6)) + 0. Is t at most as big as -1?
False
Let o be ((-3)/2)/(1/2). Let a be o + 3/(-27) + 2. Which is smaller: a or 0?
a
Let v = 0 - 0. Let b = v + 4. Suppose -5*z + o + 3 = 0, 0*z - 3*o = b*z - 10. Which is greater: 2 or z?
2
Let x(k) = k**3 - 3*k**2 + k - 3. Let w be x(3). Let y be 8/112*(-3 - 1). Is y smaller than w?
True
Let w be (-2 + 1)*(0 + -3). Suppose 8 = n + w. Suppose 2*z - 12 = 2*a - 0, n*a - z + 10 = 0. Which is smaller: 2/15 or a?
a
Suppose 5*w - 18 = 7. Suppose 11 = m + w. Suppose 5*j = b - 3 - 3, 4*j - 2*b + m = 0. Which is bigger: j or 2/11?
2/11
Let h(v) = 3*v. Let n be h(2). Let c(r) = r - 3. Let o be c(6). Suppose -5*i + 42 = o*s, -i + 2*s = 1 + 1. Is n bigger than i?
False
Let y(b) be the second derivative of b**5/20 + b**4/2 + b**3/2 - 3*b**2 + 4*b. Let i be y(-5). Suppose -f = -i*f. Which is bigger: -1 or f?
f
Suppose 2*x + 0*y = 3*y + 11, 4*x + y - 57 = 0. Which is smaller: x or 17?
x
Let o be 11 + (-3 - 2) + 1. Let w = -0.1 + 0.3. Is o equal to w?
False
Let k = -0.7 - -0.3. Let g = 0.5 + k. Is g less than 7?
True
Let p = 2.6 - 3. Which is bigger: 0.3 or p?
0.3
Let i = -4348/15 + 290. Which is bigger: -1 or i?
i
Let m = -3.072 - 0.028. Which is bigger: 1 or m?
1
Suppose 3*n = -0*n. Let j = 0 + n. Let y be (-6)/(-10) - 142/270. Which is smaller: j or y?
j
Suppose 2*r = 5*k + 10, 10 = -5*r + 4*r - 5*k. Let x = 16 + -11. Suppose -x*v = -r*v. Which is smaller: v or -1/2?
-1/2
Let n be 0 - -1 - 14/8. Suppose 1 = 2*r - m - 6, 0 = r - 5*m - 8. Suppose -v - 17 = -r*c, c = -5*v + 2*c - 15. Which is bigger: n or v?
n
Let v be (-3 + -2)*3/(-3). Suppose -7*m + 3*m - 4 = -4*a, v*m + 5 = 4*a. Which is bigger: 3/4 or a?
3/4
Let r(d) = -d**3 - 2*d**2 - d. Let x be r(-2). Let c = 7 - 10. Let y be c*(-2 + 3 + -2). Is x bigger than y?
False
Suppose 0 = 3*k - 4*r - 9, -4*k + k - 4*r + 33 = 0. Let o(y) = -2*y - k + y + 4. Let a be o(0). Do -2 and a have different values?
True
Let k(s) = -2*s**2 - 1. Let q be k(-1). Let l be ((3/2)/1)/q. Is -6 not equal to l?
True
Let i be 1/(-4 + 3) - 7. Is -8 not equal to i?
False
Let r(l) = -l**2 + 7*l - 25. Let k be r(6). Is k != -19?
False
Suppose 0 = 11*r - 13*r + 14. Is r less than 0?
False
Let t = -14.5 + 13. Which is greater: 0.1 or t?
0.1
Let j = 22 + -26. Let h be 3/(-8)*(-2)/3. Is h at most j?
False
Let k(w) = w**2 + 6*w - 6. Let x be k(-7). Let h = -11/15 + 19/10. Do h and x have the same value?
False
Let g(j) = j + 10. Suppose 6 + 6 = a. Suppose q + 33 = -4*c, -2*c + q - a = 3. Let i be g(c). Is 3 equal to i?
False
Let m = -85 + 86. Let n = -4 + 6. Let d be ((-1)/n)/(30/(-8)). Is m <= d?
False
Suppose -2*q + 6 = 2*p, -5*p + 6 = 3*q - q. Let k = -16
|
{
"pile_set_name": "DM Mathematics"
}
|
n multiple of c and 35?
315
Suppose 3*s - 10 = 2*f - 49, 0 = f - s - 21. Let r be 3*(-3)/(9/6). Let w = r + f. Calculate the lowest common multiple of w and 16.
144
Let y = 83/3 - 27. Let a = 0 - -35. Find the common denominator of y and a/11 + (-10)/(-5) + -3.
33
Let y(c) = 13*c**3 - c. Let x be (4/12)/((-3)/(-9)). What is the least common multiple of y(x) and 90/8 + (-1)/4?
132
Calculate the common denominator of (2/14)/((-1254)/(-28329)) and 151/72.
792
Let y = -190400 + 39983897/210. What is the common denominator of y and 1/18?
630
Calculate the least common multiple of ((-9)/(-4))/((-42)/(-56)) and 9.
9
Let d = 69029/6 + -11530. Suppose 0 = -2*r + 66 + 6. Find the common denominator of 158/r + (3 - 6) and d.
18
Let j(b) = 16*b. Let o(k) = 40*k. Let l(t) = 4*t + 1. Let y be l(1). Let c(q) = y*o(q) - 12*j(q). Calculate the smallest common multiple of 3 and c(1).
24
Let n = -4051/36 - -826/9. Calculate the common denominator of n and -37/50.
100
Suppose 3*h = 12, 2*h - 28 = -o - 4*o. Suppose -o*j = -j - 6. Suppose -u + 9 = 5*y - 25, -j*y + 5*u - 8 = 0. What is the smallest common multiple of y and 8?
24
Suppose q + 56 = 5*q. Let r be (-23)/(-5) - 8/(-20). Calculate the lowest common multiple of q and r - (-5)/(-10)*6.
14
Let g = -232 - -248. What is the lowest common multiple of g and 52?
208
Find the common denominator of (2*(-2)/(-6))/(2200/(-14740)) and -25/28.
420
Let u(j) = -12*j**2 - 29*j + 5. Calculate the smallest common multiple of 27 and u(-2).
135
Let b be 15/(-5)*(-8)/6. Let j(w) = -w**3 - 6*w**2 + 3*w + 8. Let n be j(-6). What is the common denominator of 37 and (n/25)/(b/(-9))?
10
Suppose 57 - 149 = -4*n. Let g = n + -17. What is the smallest common multiple of 14 and g?
42
Let v(k) = k**3 - 7*k**2 - 5*k + 9. Let r(o) = -5*o**3 + 27*o**2 + 19*o - 35. Let q(d) = 2*r(d) + 9*v(d). Calculate the least common multiple of 5 and q(-8).
15
Suppose -2*n + 155 = -5. Suppose 0 = -x - 7*x + n. Calculate the lowest common multiple of x and 3.
30
Let o = 1666 - 1591. Calculate the smallest common multiple of o and 12.
300
Let j = 145/107 + 7893/2782. Find the common denominator of j and -18/247.
494
Let k = -272101/22 - -12365. What is the common denominator of k and 13/10?
110
Let p = 574507/433560 - 1/10839. Find the common denominator of p and 13/64.
320
Let y = 544 + -338. Calculate the least common multiple of y and 3.
618
Let t = 88 - 79. What is the smallest common multiple of 13/5 + 36/90 and t?
9
Suppose 13*m = 428 - 324. What is the lowest common multiple of m and 32?
32
Let w be -180*(-2 - 6/(-4)). Suppose 50 = 10*n - w. Calculate the lowest common multiple of n and 10.
70
Let t = -111 + 161. Suppose 88 = 5*f - 4*j + 22, 3*f - 5*j - t = 0. Calculate the least common multiple of 16 and f.
80
Let m = 10173484 + -3286031862/323. Let w = m - 427/34. Let n = w - 13/380. What is the common denominator of n and 109/22?
220
Find the common denominator of 28/179 and ((-350)/15)/((-80)/30).
716
Let l be 2 - (204/(-36))/((-1)/150). Let k be -698*5/(-4) + 1. Let n = l + k. Calculate the common denominator of 1/18 and n.
18
Let k(j) = 104*j**2 + 2*j + 9. Let w be k(-6). Suppose 5065 + w = -h. Let f = -88161/10 - h. What is the common denominator of f and 8/7?
70
Find the common denominator of 27/20 and 39/26*2/(-48).
80
Let d = -5675 - -79389/14. Let n = -213763/16 - -13356. Calculate the common denominator of n and d.
112
Calculate the lowest common multiple of 90 and (-1)/2 - 30/(-12)*1.
90
Let b be (-1666)/(-4) - ((2 - 4) + 3). Let v = b + -3772/9. Find the common denominator of -83/6 and v.
18
Let w = -82 - -75. Find the common denominator of w + 3 + 95/6 and -65/56.
168
Suppose 5*n - 10 = 15. Suppose n*i = -2*b + 3, 2*i - 18 = -5*b - 0. Calculate the smallest common multiple of b and (8 - 7)*(7 - -1).
8
Let z be (-542)/(-10)*5/(-18). Let m = z + 197/36. Calculate the common denominator of m and -25/42.
84
Suppose 3*h - 2*h = 3. Let m = 379 - 375. Suppose t = 4*a + 15 + h, -m*t = 4*a + 8. What is the least common multiple of 4 and t?
4
Let z(v) = 2*v**2 - 37*v + 34. What is the least common multiple of z(18) and 232?
464
Let s(m) = -10*m**3 + 2*m**2 - 6*m + 5. Let q be s(3). Let i = -1573/6 - q. Let c = 73/48 - i. Calculate the common denominator of -125/6 and c.
48
Suppose 5*m - 231 = 4*m. Calculate the common denominator of -31/4 and (m/6)/(-9 + 0).
36
Let s = -1/638 + 95/58. Find the common denominator of s and 13/88.
88
Suppose -6*f - 12758 = -2162. Let u = -3605/2 - f. Let r = -37/2 - -24. Find the common denominator of r and u.
2
Suppose 42 = 5*r - 3. What is the smallest common multiple of r and 22?
198
Let s = 227/8 + -69/4. What is the common denominator of s and ((-4)/6)/((-204)/(-2397))?
24
Suppose 6 = -2*k + 4*a, 2*a + 7 = 2*k + 21. Let h = 6 - k. Calculate the smallest common multiple of h and 4.
68
Let z = 11620 - 2602869/224. Calculate the common denominator of -69/8 and z.
224
Let r = 105/811 + 1341191/45416. Let w = r - 187/8. What is the common denominator of 45/11 and w?
77
Let y = 767 - 503. Let v = -3597/142 + -12/71. What is the common denominator of 2/(-8) + y/160 and v?
10
Find the common denominator of -44/5 and 2*(2/(-16))/(18/612).
10
Let z = -77367/14 + 5524. What is the common denominator of z and -83/208?
1456
Let z(f) = -f**2 + 14*f - 10. Let j be z(13). Suppose m - 3 = 2, 2*m = -j*h + 208. What is the common denominator of -101/4 and 0 + (4 - 309/h)?
44
Let f = -42 - -26. Let s = f + 23. Suppose -2*z = 7 - 47. What is the least common multiple of z and s?
140
Let v(s) = -3*s + 0*s + 5 - 15. What is the smallest common multiple of v(-4) and 11?
22
Suppose 52*q - 80 = 44*q. Calculate the least common multiple of 18 and q.
90
Let n = 48 - 24. Let c = -18 - -48. Suppose 0*l - 2*g - c = -2*l, -3*l - 3*g + 15 = 0. Calculate the smallest common multiple of n and l.
120
Let p(x) = 24*x**2 - 9*x - 4. Calculate the smallest common multiple of p(2) and 18.
666
Let g be (0/3)/4 - -3. Let y be ((0 - 7) + g)/1. Let j(f) = -4*f - 5. Calculate the smallest common multiple of j(y) and 10.
110
Find the common denominator of -107/28 and ((-133)/(-12) + -11)/((-8)/162).
112
Let d = 40869 - 4045997/99. Find the common denominator of -55/12 and d.
396
What is the common denominator of 385/65*(-9)/81 and -83/99?
1287
Let m(r) be the third derivative of r**5/15 - r**4/24 - 5*r**3/6 - 3*r**2. What is the smallest common multiple of 10 and m(-2)?
130
What is the lowest common multiple of 6/(-6) - 2 - -267 and 1?
264
Let v = 19/7 - 339/112. What is the common denominator of 59/40 and v?
80
Suppose 3*k - 87 = -5*t, -k - 4*k + 80 = 4*t. Let d be t/2 - 3/(-6). Find the common denominator of d/(-32) + (-58)/8 and -49/10.
10
Let y be 20/170 - 4504173/918. Let r = 4909 + y. What is the common denominator of -9/20 and r?
180
Find the common denominator of 49/20 and (3 - 141/45)/((-1408)/(-624)).
220
Suppose 3*c = -9, -u - 4*c - 1 = 7. Suppose u*o - 1 = -3*k + 2, 4*o = -k - 7. What is the smallest common multiple of k and -4 - (-5)/(-3)*-3?
5
Suppose 3*l - 2*a = 2*l - 6, -5*a = 15. Let t = l - -20. Calculate the smallest common multiple of t and 20.
40
Suppose 7 + 1 = 2*m, -m = l + 36. What is the common denominator of 47/12 and (-10)/l - ((-175)/36)/(-1)?
36
Let t = -2116401 - -12733511/6. Let l = t - 5871. Calculate the common denominator of l and 26/27.
54
Calculate the least common multiple of 6/21 + (19120/(-14))/(-8) and 114.
342
Calculate the least common multiple of 1 + -9*(-2)/6 + 96 and 160.
800
Let a be 21886/(-72)*(2 + 56). Let m = 17637 + a. Let s = -1220/11 + 10343/88. Find the common denominator of m and s.
72
Let a = -8442 + 50527/6. Calculate the common denominator of a and (1/10)/(7 + -6).
30
Suppose -6*h + 280 = 8*h. What is the smallest common multiple of h and 244?
1220
Suppose j + 32 = -3*o + 5*j, -38 = 5*o + j. Calculate the least common multiple of 40 and 52/o*-2 + -5.
40
Let h(m) = -m**3 - 9*m**2 - 12*m + 16. Let w be h(-7). Calculate the common denominator of -65/27 and (848/108)/w - 3.
27
Suppose 4*n + 102 = -s - 261, 0 = -3*n + 4*s - 258. What is the common denominator of 59/36 and (-1 - 40/(-25))/(32/n)?
144
Let b(i) = -i - 7. Let n = 7 + 7. Calculate the smallest common multiple of n and b(-19).
84
Let n =
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*o**2*s**2 - 2*o**2 + 157*o*s**3 - 2*s**3*u wrt o.
14280*o**3*s*u + 1440*o*s**3
Find the third derivative of 7*c**2*w**4 + c**2*w - 7452*c*w**4 - 4206*c*w + 3*w**2 + 2*w wrt w.
168*c**2*w - 178848*c*w
What is the second derivative of -k**3*l**5 - 185615*k**3*l**2 - 6*k**3*l - 87*k**2*l + 30*k**2 + l wrt l?
-20*k**3*l**3 - 371230*k**3
Differentiate -8*c*n*z**2 + 3*c*n - 26681*c*z**2 + 3*c + 1725*n + 2 wrt z.
-16*c*n*z - 53362*c*z
What is the second derivative of 2*n*x**3 - 1152*n*x**2 - 23*n*x - 11*n - 8*x**3 - 302*x + 1 wrt x?
12*n*x - 2304*n - 48*x
What is the second derivative of -215454*y**4 - 72*y + 857 wrt y?
-2585448*y**2
Find the second derivative of 2291702*k**2 + 2950488*k + 1 wrt k.
4583404
What is the second derivative of -445589*x**5 + 23*x - 416?
-8911780*x**3
Find the second derivative of 341952*b**4 + b - 5842 wrt b.
4103424*b**2
What is the second derivative of -x**5 + 3895*x**4 + 3*x**3 + 12639*x - 8?
-20*x**3 + 46740*x**2 + 18*x
What is the second derivative of 3*g*t**3*w**2 + g*t**3*w + 1846*g*t*w**2 + t**3*w - 212*t**3 - 155*t*w wrt w?
6*g*t**3 + 3692*g*t
Find the second derivative of -5*x**5 + 285631*x**3 - 5952888*x wrt x.
-100*x**3 + 1713786*x
What is the second derivative of 40541*s**3 - s**2 + 6503133*s wrt s?
243246*s - 2
What is the third derivative of 40248*d**3*l**3 + d**3 - 291*d**2 + 2*l**6 + 246*l**2 wrt l?
241488*d**3 + 240*l**3
What is the second derivative of -14005*b**2*o**2 - 16*b**2 - b*o - 3*b + o**2 - 27*o + 6 wrt b?
-28010*o**2 - 32
What is the third derivative of 239937*h**5 - 2*h**3 - 468279*h**2 wrt h?
14396220*h**2 - 12
Find the third derivative of 2682*a**3 - 13*a**2 - 2*a - 2311.
16092
What is the second derivative of 38322*p**2 - 143206*p wrt p?
76644
Find the first derivative of 22373*s**3*w + 2430973*s**3 - 3*s**2*w + 6*s*w wrt w.
22373*s**3 - 3*s**2 + 6*s
What is the first derivative of 8603*m**4 + m**2 + m - 97240?
34412*m**3 + 2*m + 1
What is the third derivative of 286532*v**5 + 353529*v**2?
17191920*v**2
Differentiate -5*u**4 + 2*u**3 - 2188*u + 7285.
-20*u**3 + 6*u**2 - 2188
Find the second derivative of -87505*k**2*q**3 + k*q**3 + 895*k - 3*q**3 wrt k.
-175010*q**3
Differentiate 4*a**2*k - 2*a**2 + 30749*a*k**2 + 13014 with respect to k.
4*a**2 + 61498*a*k
What is the second derivative of -58*n**5 - n**4 + 13*n**3 + 3*n + 10450?
-1160*n**3 - 12*n**2 + 78*n
What is the third derivative of -8679*a**2*q**3 - 2580*a**2*q**2 - 8*a*q - 8*q**3 wrt q?
-52074*a**2 - 48
What is the second derivative of -41807*b**2 + 9*b - 437?
-83614
What is the third derivative of -379824*r**3 - 18*r**2 + 879*r - 4 wrt r?
-2278944
What is the second derivative of 4251*l**4 + l**2 + 2*l + 57336?
51012*l**2 + 2
What is the third derivative of 7103*f**3*g**4 - 1385*f**3*g**2 + f**3 - 7*f**2*g**5 + 24*f**2*g wrt g?
170472*f**3*g - 420*f**2*g**2
Find the third derivative of -24559*h**2*r**3 - 195*h**2*r**2 - 24*h**2*w - 6*h**2 + 2*r**3*w wrt r.
-147354*h**2 + 12*w
Find the second derivative of 3*a**2*c*p**2 - 1550*a**2 - 43*a*p**2 - 390*a*p - c*p**2 + 2*c wrt a.
6*c*p**2 - 3100
Find the second derivative of -1686*r**4 + 36164*r wrt r.
-20232*r**2
What is the first derivative of 5*g**2*q*y**3 + 44*g**2*y**2 - 275210*g*q*y**3 - 2*g*y**3 - 1433*y**3 wrt q?
5*g**2*y**3 - 275210*g*y**3
What is the first derivative of 174215*p**4 - 840976?
696860*p**3
What is the first derivative of -128232*w**3 + 182944 wrt w?
-384696*w**2
Find the first derivative of 4*r**4 + 153*r + 123630.
16*r**3 + 153
Differentiate -i**3*l - 4423*i**3 + 2*i*l**3 + 18*i*l - 44*l with respect to l.
-i**3 + 6*i*l**2 + 18*i - 44
What is the second derivative of 60*h**2*q*w**2 + 3*h**2*q*w + h**2*q - 2*h**2*w - 1515*h**2 - 7*h*q*w**2 - 9*h*w**2 - 2*h wrt w?
120*h**2*q - 14*h*q - 18*h
What is the second derivative of 3*m**3 - 38*m**2*t + 111*m**2 + 72*m*t + 30*m - 1 wrt m?
18*m - 76*t + 222
What is the first derivative of 137912*t**4 - 138957?
551648*t**3
Differentiate -15*q**3*y - 2*q**3 + 2001*q**2 - 123*q*y + 6 wrt y.
-15*q**3 - 123*q
What is the third derivative of -a**6 + 319649*a**5 - a**2 + 3*a - 15334 wrt a?
-120*a**3 + 19178940*a**2
What is the second derivative of 1738*f**3*t - f**2*t + 7*f**2 - f*t - 13*t + 391 wrt f?
10428*f*t - 2*t + 14
Find the second derivative of 461*h**2*w**2 + 5*h**2*w + 38*h*w**2 + 47*h*w - 2*w - 1 wrt w.
922*h**2 + 76*h
Find the second derivative of 74078*b*n**2 + 80851*b*n wrt n.
148156*b
Find the second derivative of 20*c**3*i*j**2 + 3*c**3*i*j - c**3*i + 146*c**2*i*j**3 + 6*c*i*j + 53*c*j wrt j.
40*c**3*i + 876*c**2*i*j
What is the second derivative of 21*u**2*y**2 + 4*u**2*y + 162*u**2 + 120*u*y - 37*y**2 wrt u?
42*y**2 + 8*y + 324
Find the second derivative of -242*m**4 + 673*m**3 - 439583*m wrt m.
-2904*m**2 + 4038*m
What is the third derivative of -86*p**6 - 2*p**5 - 11*p**4 + 4*p**2 - 2093?
-10320*p**3 - 120*p**2 - 264*p
Find the third derivative of 16*x**5 - 1315*x**4 - x**3 + 25951*x**2 - x + 2.
960*x**2 - 31560*x - 6
Differentiate 2233*n**2*y + 72*n*y**2 + 2*n + y**2 + 28114*y + 1 with respect to n.
4466*n*y + 72*y**2 + 2
Find the second derivative of -287*s*z**4 - 73*s*z - 566*z**4 - z**3 + 20*z + 3 wrt z.
-3444*s*z**2 - 6792*z**2 - 6*z
Find the third derivative of -5*s**4 + 198055*s**3 - 45526*s**2 + 20*s - 2.
-120*s + 1188330
What is the second derivative of 30*o**4*r - 440*o**2*r**2 + 2*o*r - 2*r**2 + r wrt o?
360*o**2*r - 880*r**2
Find the first derivative of 504*d**4 - 213*d**2*h**3 - 2*h**3 - 2*h**2 + 199*h + 10 wrt d.
2016*d**3 - 426*d*h**3
What is the second derivative of 57*r**4 + 7*r**3 - 7*r**2 + 55712*r wrt r?
684*r**2 + 42*r - 14
What is the second derivative of 1518981*n**4 + 567542*n?
18227772*n**2
What is the second derivative of 176892*n**2*p**3 - 3*n**2*p**2 + 29*n*p**3 - 35*n*p + 29*p**3 wrt n?
353784*p**3 - 6*p**2
What is the derivative of -3*z**3 - 82943*z**2 + 170036?
-9*z**2 - 165886*z
What is the first derivative of -143252*h + 40272?
-143252
What is the third derivative of 104983*i**2*k**3 + 462*i**2*k**2 + 42*i*k**2*v - k**3*v**3 - 19*k**2*v**3 wrt k?
629898*i**2 - 6*v**3
What is the third derivative of 144*a**4*x**2 - 8*a**3*x - 34098*a**2*x**2 wrt a?
3456*a*x**2 - 48*x
What is the second derivative of -17*h**5 + 10*h**4 - 3*h**3 - 52652*h wrt h?
-340*h**3 + 120*h**2 - 18*h
What is the second derivative of -3*l**4 - 65*l**3*r - 118*l**2*r + 90*l*r + 13*l - r + 1 wrt l?
-36*l**2 - 390*l*r - 236*r
What is the second derivative of b**3*g**2 + 391*b**3*g + b**3 + 8*b**2*g**2 + 36*b**2*g + 92*b*g**2 - 40*g**2 wrt g?
2*b**3 + 16*b**2 + 184*b - 80
Find the second derivative of 79*m**5*s + 3257*m**4*s**3 + 14*m*s + 4118*s**3 wrt m.
1580*m**3*s + 39084*m**2*s**3
What is the third derivative of -1375*d**6*x - 11*d**5*x - 2*d**2*x + 44024*d*x wrt d?
-165000*d**3*x - 660*d**2*x
Find the third derivative of 498826*a**2*g**4 + 140*a**2*g**2 + 5*g**4 + 6267*g**2 wrt g.
11971824*a**2*g + 120*g
Find the third derivative of -12*m*x**4 + 41228*m*x**3 - 13*m*x**2 + 5*m - 2*x - 3468 wrt x.
-288*m*x + 247368*m
Find the third derivative of 2565*b**6*z - 53*b**5*z + 478*b**2 - 3*b*z + 49*z wrt b.
307800*b**3*z - 3180*b**2*z
Find the third derivative of -873923*s**3 - s**2 + 241296*s wrt s.
-5243538
Find the third derivative of 3*p**5 + 51731*p**4 - 2*p**3 - 1183817*p**2.
180*p**2 + 1241544*p - 12
What is the first derivative of 58*g*h**2*y + 6*g*h**2 - 29*g*h*y - h**2*y - h**2 - 7*h*y + 339*y wrt g?
58*h**2*y + 6*h**2 - 29*h*y
What is the second derivative of 21026*j**2*m*y**3 - 80*j**2*y**3 - 36*j*y**3 + 141*j*y**2 - j - 18*m*y wrt j?
42052*m*y**3 - 160*y**3
Find the first derivative of 136331*g**2 + 252774.
272662*g
Find the second derivative of 3346*g**5 - 11*g**2 - 89530*g wrt g.
66920*g**3 - 22
What is the second derivative of 27326*d**2 - 174143*d wrt d?
54652
Find the second derivative of -30*h**4 + 668*h**2 - 20980*h wrt h.
-360*h**2 + 1336
What is the first derivative of -18*y**4 + 5*y**2 - 190*y - 335307?
-72*y**3 + 10*y - 190
What is the third derivative of -4*b**5 + 11*b**3*j - 1954*b**3 - 430176*b**2 - b*j wrt b?
-240*b**2 + 66*j - 11724
Find the third derivative of 4077270*q**3 + 2035594*q**2.
24463620
Find the second derivative of -1167326*j**4 + 995957*j.
-14007912*j**2
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
0. Let m = -7 + a. Which is greater: -3/2 or m?
-3/2
Let s = -7 - -11. Suppose 0 = -s*y - 2 - 2. Which is bigger: -3 or y?
y
Suppose 26*d - 13 = 27*d. Is d bigger than -1?
False
Let d = 0.98 - 0.88. Which is smaller: -24 or d?
-24
Let u be 48/141*5/7. Let w = u + 2/47. Do w and -1 have different values?
True
Let m(r) = 3 - 21*r - r**3 - 10 + 22*r + 8*r**2. Let f be m(8). Do f and -1/2 have the same value?
False
Suppose 3*d = -2 - 25. Is d <= -0.1?
True
Let x(g) = 4*g + 16. Let m be x(14). Which is bigger: 73 or m?
73
Suppose -5 = -2*i + 1, -3*j + 4*i = 0. Suppose 2*x = 2*u + 18, 0 = -x - j*x - 2*u + 31. Let t be 7/6*(-1)/x. Which is greater: t or -1?
t
Suppose 5*c - r - 15 - 10 = 0, 3*c + 4*r + 8 = 0. Suppose -9 = -c*y + 5*p + 27, 3*p = -5*y + 8. Suppose 4*w + i - 18 = -4*i, 5*w = 3*i + y. Is 2 at least w?
True
Let s be 2/(-5 - 6/(-2)). Let t be 6/(-9) + (-7)/22. Let r = t - -5/33. Which is bigger: s or r?
r
Suppose 0 = -2*p + 5*s - 12, -2*s = -7*s - 20. Is -17 equal to p?
False
Suppose -4*n - 1 = -g, 0 - 3 = -n - 3*g. Is n <= -4/11?
False
Suppose -56 = 5*g + h, -2*g + h = -0*g + 28. Let m be 2*1*18/g. Which is smaller: -2 or m?
m
Let l = -4 - -3. Let q = 4/1729 + -624189/8645. Let v = -72 - q. Is l greater than or equal to v?
False
Let c = 6 + -3. Let s = 83513651/16815 + -94358/19. Let t = s - 1/177. Is c <= t?
False
Suppose -10 = -p + m + 2*m, 0 = 2*p - m - 10. Suppose 3*k - 2*b - 10 = -k, 2*k = -p*b. Let f be 16/10 + -1 + 0. Which is smaller: k or f?
f
Let c(q) = -q**3 + 10*q**2 - q + 14. Let r be c(10). Which is bigger: r or 22/5?
22/5
Let j(u) = u**2 + 7*u + 9. Let w(h) = h**2 - 6*h - 6. Let f be w(6). Let x be j(f). Let k = x + -4. Is 2/7 < k?
False
Let b(s) = -s**2 - s + 2. Let d be b(0). Suppose 2 = d*f - 0*f. Let a be (6/24)/(f/4). Is a bigger than -1/4?
True
Let d = -3 - 0.5. Let b = d + 0.5. Which is smaller: 2/7 or b?
b
Let n = 58 - 284/5. Let u = n + -52/35. Which is smaller: u or 1?
u
Let s = 6 - 5.3. Let w = s - 0.9. Let o be 1*(1 + 0/2). Which is smaller: o or w?
w
Let h be ((-2)/(-28))/((-1)/(-4)). Let i = -8.2 - -4.3. Let t = i + 4. Is t greater than h?
False
Let y be (-2)/(-1 - 20/(-12)). Let q be (y/(-99))/(2/(-6)). Which is greater: q or 0?
0
Suppose 5*v - 16 + 46 = 0. Let l be -1*2/(v/(-3)). Let a be 1*4/18 - 0. Is l <= a?
True
Let s = -0.11 - 0.19. Let n = s - 2.7. Which is bigger: n or -1?
-1
Suppose k - 5*h = 5*k - 20, h = 2*k - 10. Suppose m + 3 = r, -m + k*r - 3 = m. Let t be (-1 + m)*(-2)/95. Which is smaller: t or 1?
t
Suppose 2*b - 5*m - 12 = -b, 12 = -4*m. Are b and -2 non-equal?
True
Suppose i - x = -49, 2*i + 5*x - 5 = -124. Let o be i/5 + 6/15. Let n be 12/o*10/(-4). Does 3 = n?
True
Let q be (-84)/60 - (-3 - -1). Let k = 469 + -2333/5. Let g = 53/20 - k. Is g greater than q?
False
Let j(v) = -v**3 + 8*v**2 - 7*v. Let z be j(7). Let a = -8 + 8.1. Is a at least as big as z?
True
Let f = 22 + -20. Let o = 2 - -3. Suppose -18 = -f*g + 4*t, 5*t + 3 + 17 = o*g. Is -4/5 > g?
True
Let b be (-6)/18 - (-4)/(-6). Which is bigger: -2 or b?
b
Suppose 5*d = d + 12. Let i be (-4)/24*(-76)/d. Let n = -40/9 + i. Is n != 1?
True
Let g = -2.3 - -2.41. Let x = g + -0.11. Let b = 33/56 + -7/8. Which is greater: x or b?
x
Let q(t) = 2*t**2 - 2*t - 5. Let u be q(-3). Is 19 at most u?
True
Let g(d) = -d**2 + 2. Let h be g(0). Let v = 21 + -15. Suppose -10*q = -v*q. Which is greater: h or q?
h
Let i be 2 + -2 + 2 + 0. Suppose p - 6 = -i*p. Is p greater than 3/5?
True
Let o = 3 - 1. Let a be -1*(-2)/(-4)*o. Let l be 1/(a + (-2)/(-1)). Which is smaller: l or -1?
-1
Let w = 16 + -10. Let p be (2/4)/(1/12). Let b be (w/9)/(20/p). Does -1 = b?
False
Let q(u) = -u**2 - u + 1. Let l be q(0). Suppose 0*w = -w - l. Is 2/21 smaller than w?
False
Let x be 7/12 + 2/(-8). Suppose -p - 2*d = 0, 2*p - 4*p + 4*d = 0. Are p and x equal?
False
Suppose 2*j = 4 + 2. Suppose -j*i + 2*i = 0. Is 2/47 > i?
True
Let w = -6 - -6.2. Let a = -7 + 0. Let i be a/(-10) + (-2)/4. Are i and w non-equal?
False
Let m be (-580)/(-696) + 6/(-4). Let o(t) = t**2 + t + 2. Let l be o(-2). Is l at least m?
True
Let a = 39 + -25. Let x be -5 - -5 - (1 - 3). Let n be 32/a - x/1. Which is bigger: n or 0.2?
n
Let l(k) = -k - 3. Let a be l(-4). Let m be a/1 + (-5 - -7). Let g be (1 - m) + (-80)/(-36). Which is greater: g or 1?
1
Let g be (56/(-35))/((-4)/10). Suppose -2*q + g*q - 18 = 0. Do 10 and q have the same value?
False
Suppose 3*k = -6*k + 306. Are k and 34 equal?
True
Let s be ((-3)/(-4))/(2/(-8)). Let b = -2 - -6. Suppose -20 = b*k - 2*f, -4*f + 5 = -3*k - 20. Is k greater than or equal to s?
True
Let p(a) = a**2 - 6*a + 5. Let i(b) = -b**3 + 3*b**2 + 6*b - 3. Let n be i(4). Let q be p(n). Let h be (-14)/(-10) - (3 - 2). Do q and h have different values?
True
Suppose 5*g - 15 = -5*k, 4 + 0 = -2*g. Let a be (0 + k)*4/10. Suppose -3*l + 5*i - 22 = 0, a*l + 4 = -i + 11. Is 1 at most l?
True
Let u = -10 - -11. Let n = -27/2 - -85/6. Is u != n?
True
Let q = 0 + 1. Suppose 3*v - 2*d = -7, 3*v + 5*d = -2*v + 30. Let h be v + 2*2/4. Which is smaller: q or h?
q
Let l be 35/(-56) - 3/(-4). Which is greater: 0 or l?
l
Let j = -10.73 + -0.27. Let p = 11 + j. Which is greater: p or 0.1?
0.1
Let a be (1 + 14/(-12))/(7/28). Suppose 0 = 4*p + p. Suppose -2*d = 4 - p. Does d = a?
False
Let i(s) = s**3 - 5*s**2 + 2*s - 7. Let t be i(5). Suppose 5*b = t*b - 6. Suppose -2*q + q = f, 4*f = q + 10. Which is greater: b or q?
q
Let k = -29 + 74. Which is smaller: 1/3 or k?
1/3
Suppose 2*n = 5*n - 6. Suppose v - 4*t = -13, -2*v - n*t = -4*t + 8. Let g be (-1)/(4 + 36/(-16)). Which is greater: v or g?
g
Let n(b) = -b**2 - 6*b + 3. Let c be n(-7). Let g(t) = -4 - t + 5 - t - 4*t**2 + 0*t. Let i be g(1). Which is smaller: i or c?
i
Let m be ((-16)/(-14) + -1)/(-1). Let f(s) = 2*s**2 + 3*s + 3. Let k be f(-3). Suppose c - 3 = 3*c + u, 2*u = 2*c - k. Which is bigger: c or m?
c
Let y = 9 - 4. Suppose 3*g + 22 = -5*l + 4*l, -g - y*l - 26 = 0. Are -7 and g non-equal?
True
Suppose -q + 1 = 5. Let s be 3 - (1 - -4 - 1). Let t be (-3 - q)*(-1)/s. Which is greater: 2 or t?
2
Let j = -10 + 19/2. Let v = 49.9 + -47. Let n = v + -2.84. Is n smaller than j?
False
Suppose 19 = -4*h - a + 6*a, -a = 3*h. Let d be 7/(-3) + 0 + 2. Which is smaller: h or d?
h
Let s = 42 + -30. Which is bigger: s or 8?
s
Let z = -8 + 2. Let r(j) be the first derivative of j**3/3 + 5*j**2/2 - 8*j - 2. Let b be r(z). Is -2 > b?
False
Let a be -2 + 2/4*2. Let w(b) = 2*b**2 + 3*b - 3. Let i be w(-3). Let j(k) = -k**2 + 7*k - 9. Let u be j(i). Is a less than or equal to u?
False
Let y = -23 + 23.09. Let j = 59/93 + 1/31. Is j != y?
True
Let b(a) = -a**2 - 6*a + 2. Let x be b(-7). Let n be x/15*(0 - 1). Suppose 4 = -2*v + 2*l, 4*l = v - l + 6. Is v < n?
True
Let a be (-45)/60 - (-2)/(-8). Which is smaller: 1/7 or a?
a
Let u be ((-6)/8)/(26/(-8)). Let a be (0 + 0)/(-12 - -13). Which is smaller: u or a?
a
Let z = 1 - 0. Suppose -3*v + 4*v - 5 = -3*r, 4*r + 2*v = 10. Is z greater than r?
True
Let l = -13.1 - -20. Let w = 1.1 + l. Let y = w + -2. Which is smaller: y or 0.1?
0.1
Suppose 3*q - 40 = 5*q - 2*c, 0 = -c. Which is smaller: q or -21?
-21
Let n = 1 - -1. Is -0.4 greater than n?
False
Let o(p) be the second derivative of -p**5/20 + 7*p**4/12 + 3*p**3/2 - p**2/2 - p. Let k be o(8). Is k <= 6?
False
Let c(j) = -j**3 + 2*j - 1. Let d(x) = x - 4. Let h be d(5). Let b be c(h). Which is bigger: b or -1?
b
Let w be (-6 - -34)*(-5)/(-4). Let f = w + -176/5. Which is bigger: 1/3 or f?
1/3
Let n = -55/17 + 13/4. Let g = 121/1020 + n. Which is smaller: g or -2?
-2
Let f = -70/31 - -1082/589. Let r = -78/95 - f. Let q = -19 + 18. Which is smaller: r or q?
q
Let o = -7.06 - -0.06. Let u = o - -6. Is 0.4 at most u?
False
Let o be (-1632)/6372 - -2*2/18. Let g = 3 - 4. Which is bigger: g or o?
o
Let h be (6030/40)/(6/4). Let y = 105 - h. Are y and 5 equal?
False
Let r be (-15)/3 - 2*-1. Let f(d) = d**3 + 2*d**2 - 2*d + 1. Let p be f(r). Let c = 2 + -5. Which is smaller: p or c?
c
Suppose 4*f + 4*k + 7 = 5*f, -14 = -4*f + 2*k. Suppose -f*a + 9 = 3. Which is bigger: 1/2 or a?
a
Let w(n) = n**3 - 4*n**2 + 2*n + 3. Let p be w(3). Suppose p*l = l - 1. Are -1/4 and l nonequal?
True
Let p be 48/64 + (-6)/4. Which is bigger: p or 0?
0
Suppose 6*d - 13
|
{
"pile_set_name": "DM Mathematics"
}
|
Simplify ((g**(3/10)/g*g)/g**(-1/2))/(g**(5/4)*g/(g/g**5)) assuming g is positive.
g**(-109/20)
Simplify (z*z*z/(z/(z*(z/z**(1/23))/z)))/(z*z*z**(2/17)) assuming z is positive.
z**(328/391)
Simplify x**(1/18)/x*x**7/x*x assuming x is positive.
x**(109/18)
Simplify ((x**(2/9)*x)/x)**(-3/16) assuming x is positive.
x**(-1/24)
Simplify z*z**(9/4)*z*z*z**(4/5) assuming z is positive.
z**(121/20)
Simplify ((r*(r/r**(-2/27))/r)/r*r)/(r*r**(-2/35)/r) assuming r is positive.
r**(1069/945)
Simplify s*(s*s*s*s*s/s**(2/13)*s)/s*s**(-1/5)*s*((s/(s/((s*s**(-1/4))/s)))/s*s)**(-34) assuming s is positive.
s**(1969/130)
Simplify ((q/q**(-4))**(5/2))**31 assuming q is positive.
q**(775/2)
Simplify ((f*f**(-1/4)*f)/(((((f*f**(-1/2)*f*f)/f)/f*f)/f)/f))**(-1/32) assuming f is positive.
f**(-9/128)
Simplify (f**(-9)*f**(-1/5))**(-1/22) assuming f is positive.
f**(23/55)
Simplify ((r*r/((r*r*r*r**(-2)*r)/r))**(-9/10))**(1/6) assuming r is positive.
r**(-3/20)
Simplify (t/(t*t/(t/(t**3*t))*t*t))/t*t**6*(t**(-1/2))**(-12) assuming t is positive.
t**5
Simplify (f*f*f**(5/6))/f**(-11/6) assuming f is positive.
f**(14/3)
Simplify y/y**5*((y**(-1/3)/y)/y)/y*(y**(-1/2)/y*y)**(-5) assuming y is positive.
y**(-29/6)
Simplify w**(-38)/(w/w**(-42)) assuming w is positive.
w**(-81)
Simplify g**(1/9)/(g*((g*(g**(-22)/g)/g*g)/g)/g*g*g*g) assuming g is positive.
g**(181/9)
Simplify (u/(u*u**(1/4))*u)/((u**(-6)*u)/u) assuming u is positive.
u**(27/4)
Simplify v/(v**14*v)*v*v/(v*v**(-12)) assuming v is positive.
1/v
Simplify (a*a**0*a)**50*(a**5*a)/(a*a/a**(1/2)) assuming a is positive.
a**(209/2)
Simplify (o*o*o**17)/(((o**(1/14)*o)/o)/o) assuming o is positive.
o**(279/14)
Simplify (l/l**(5/8))/(l*l/l**(-1/34)) assuming l is positive.
l**(-225/136)
Simplify u**(-1)*u**5 assuming u is positive.
u**4
Simplify (s**(-2/23)/s)/s**(6/7)*(s/(s*s*s*s*s/(s**(-2/9)/s*s*s)))**(-37) assuming s is positive.
s**(169936/1449)
Simplify (a/(a*a**(1/2)))/(a/(a/a**(-34))*a) assuming a is positive.
a**(65/2)
Simplify (s*s*(s/s**(1/3))/s*s)/(s*s**5*s)*s**(-4)*s*s**(-1) assuming s is positive.
s**(-25/3)
Simplify (n*n**9*n*n*n**5/n)**(1/30) assuming n is positive.
n**(8/15)
Simplify (x/x**4*x**(-2/27))/(x/x**(1/2))**(11/2) assuming x is positive.
x**(-629/108)
Simplify c**(-1/4)/(c/c**(-7))*(c*c/(c**(1/2)/c)*c*c)**(1/41) assuming c is positive.
c**(-1335/164)
Simplify (p**(-1)/(p*p**(-6)*p))/(p**(-2))**(5/6) assuming p is positive.
p**(14/3)
Simplify (j/(j*j**(1/6)/j))**(-4/3)/(j**(-2/5)*j*(j/(j*j*j**1*j))/j) assuming j is positive.
j**(103/45)
Simplify c/(c/(c/(c*c/c**(-2/7)*c*c)))*c**(-1/5)*c**(-6)/c**(2/5) assuming c is positive.
c**(-346/35)
Simplify (d**(5/4)/d*d**17*d*d)**(-5/4) assuming d is positive.
d**(-385/16)
Simplify f**(6/19)/(f*f/f**(-33)) assuming f is positive.
f**(-659/19)
Simplify (v**(1/5)*v)**(1/46) assuming v is positive.
v**(3/115)
Simplify ((u/u**(-3/2))/((u/u**(-4))/u))/(u**(2/5)/(u*u*u*u**4*u*u)) assuming u is positive.
u**(71/10)
Simplify (i/(i*i**(-8)/i))/i**11 assuming i is positive.
i**(-2)
Simplify (t**(-1/13)*t)/t**35 assuming t is positive.
t**(-443/13)
Simplify (l*l**(2/7))**(-20)*l/((l/l**(1/3))/l)*l**5 assuming l is positive.
l**(-407/21)
Simplify (((b**0*b)/b*b)/(b**2*b))/((b**(-2/9)/b)/(b**(-3)/b*b)) assuming b is positive.
b**(-34/9)
Simplify (r/((r/(r**(2/19)/r)*r)/r))/(r**5*r) assuming r is positive.
r**(-131/19)
Simplify (y/(y*y**(-2/7)))/(y*y/((y/(y**(-10/3)*y))/y)*y) assuming y is positive.
y**(-8/21)
Simplify v**5*v**(-7/2)*v assuming v is positive.
v**(5/2)
Simplify ((((j*j**(2/7)*j)/j)/j)/j**(-4))/((j*j**(-1)*j*j)/j)**(-2/11) assuming j is positive.
j**(344/77)
Simplify (c**(2/9)*c)**31*(c*c**0)/c**7 assuming c is positive.
c**(287/9)
Simplify ((p/((p**1*p)/p)*p)**(3/2))**(-7/4) assuming p is positive.
p**(-21/8)
Simplify (j*j*j/(j*((j*j**(2/7))/j)/j)*j/(j**(-4/3)/j))/((j/(j**(-6)/j))/(j**(-1/3)/j)) assuming j is positive.
j**(-23/7)
Simplify (r*r/((r**(-2)*r)/r))**(-2/83)/(r**3)**31 assuming r is positive.
r**(-7727/83)
Simplify (j**(1/4))**(34/5)*j**0*j**(-2/3) assuming j is positive.
j**(31/30)
Simplify ((r**(-1/2)/r)**(2/157))**43 assuming r is positive.
r**(-129/157)
Simplify ((((r*(r**(1/4)/r)/r*r*r)/r)/r*r*r)**(4/15))**(-16) assuming r is positive.
r**(-16/3)
Simplify (((p**(3/7)*p)/p)/(p*p*p*p**(1/5)*p))**(-2/3) assuming p is positive.
p**(88/35)
Simplify (r/(r*r**8))/(r*r**(8/5))*(r/(r*r**0))**(-25) assuming r is positive.
r**(-53/5)
Simplify l**(-10/7)*l**(-4/9) assuming l is positive.
l**(-118/63)
Simplify (d**(-2/11)/(d/((d**8*d)/d)))**(23/4) assuming d is positive.
d**(1725/44)
Simplify ((f**(-1))**37)**6 assuming f is positive.
f**(-222)
Simplify (h**(-5)*h/(((h**(-4)/h*h)/h)/h))/(h/h**(-3)*h**(1/3)) assuming h is positive.
h**(-7/3)
Simplify c**(-9)/(c/((c**(-3/10)*c)/c)) assuming c is positive.
c**(-103/10)
Simplify (a**21)**10 assuming a is positive.
a**210
Simplify (n**(-10))**(-1/27) assuming n is positive.
n**(10/27)
Simplify (a**3/a**(1/4))**(-20) assuming a is positive.
a**(-55)
Simplify ((f**(2/29)*f*f)/f)/((f/(f*f**(1/14)))/f) assuming f is positive.
f**(869/406)
Simplify l*(l/l**(-8))/l*l**(4/23)*l assuming l is positive.
l**(234/23)
Simplify ((c**(-7)/c)/((c*c**(-1/5)*c)/c))**(-11) assuming c is positive.
c**(484/5)
Simplify (m*m**8*m*(m/((m**(-1/9)*m)/m))/m*m)**27 assuming m is positive.
m**300
Simplify ((a*(a/a**1*a)/a)/(a**(-2)/a))**(-39) assuming a is positive.
a**(-156)
Simplify (y/((((y/y**0)/y)/y)/y)*y*y**9)**(9/5) assuming y is positive.
y**(117/5)
Simplify ((g*g/((g*g/(g/g**4*g*g))/g))**(-7))**(1/39) assuming g is positive.
1
Simplify o/(o*((o**36/o)/o)/o)*o**(-11)*o*o assuming o is positive.
o**(-42)
Simplify ((s**(-5))**(2/7))**(-43) assuming s is positive.
s**(430/7)
Simplify (s*s**2)/s**(-2/15) assuming s is positive.
s**(47/15)
Simplify ((k**(2/5))**(-15))**(-1/14) assuming k is positive.
k**(3/7)
Simplify ((f**(-1))**(-43))**(1/16) assuming f is positive.
f**(43/16)
Simplify ((a**3*a*a)/(a/a**(-5)))**(30/13) assuming a is positive.
a**(-30/13)
Simplify d**(-4)/(d/(d**(-1/6)/d*d)) assuming d is positive.
d**(-31/6)
Simplify (t/(t*t/((t**5/t)/t)))/(t/((t*t**(-11))/t))*(t*(t/(t*t**(2/5))*t)/t)/t**(1/4) assuming t is positive.
t**(-193/20)
Simplify (r**(-2/3)*r**0)/(r**10/(r**(-6)*r)) assuming r is positive.
r**(-47/3)
Simplify (s**(-1))**(-7/6)/(s**6*((s**(-2)*s)/s)/s) assuming s is positive.
s**(-11/6)
Simplify (v**(2/11)*v)/(v/(v/((v**3*v)/v)*v))*(v/(v/(((v/(v*v**(4/3)))/v)/v*v)))/v**3 assuming v is positive.
v**(-203/33)
Simplify ((g*g**(-1/4)/g)/g)/g**(5/4)*g**5*g/((g/(g/(g/g**(7/3))))/g) assuming g is positive.
g**(35/6)
Simplify ((f/f**(1/5))/f)/(f/(f*f**(1/6))*f) assuming f is positive.
f**(-31/30)
Simplify (a**17)**(-1/12) assuming a is positive.
a**(-17/12)
Simplify (a**(-1/3)/(a*(a**(4/7)/a)/a*a))**49 assuming a is positive.
a**(-133/3)
Simplify (r/(r*(r/(r*r/r**(-2/11)*r*r*r))/r))/((r/r**(-8))/r) assuming r is positive.
r**(-31/11)
Simplify i**2*i**(-4/5)*i*(i*i*i**(-2))/i**(-8) assuming i is positive.
i**(51/5)
Simplify ((s**(-1))**(-5/7))**(-47) assuming s is positive.
s**(-235/7)
Simplify (z**(-2/13))**(-8) assuming z is positive.
z**(16/13)
Simplify (a**(-1/3))**(-49/3)/((a*a/a**0)/(a**(2/3)*a)) assuming a is positive.
a**(46/9)
Simplify (f**(-1))**(-42)/(((f*f**(-2/5))/f)/f)**(-23) assuming f is positive.
f**(49/5)
Simplify ((a*a**(2/9)/a*a)/a*a)/(a*a**1/a) assuming a is positive.
a**(2/9)
Simplify (i/(i/(i*i**9*i))*i*i**(-11))/(i**(2/3)/i)**2 assuming i is positive.
i**(5/3)
Simplify r/r**5*r*(r/(r/((r/(r**(2/33)*r))/r)))/r assuming r is positive.
r**(-167/33)
Simplify u**(7/5)/(u/((u/(u**(1/8)*u))/u)) assuming u is positive.
u**(-29/40)
Simplify (s**(2/3)*s*s/(s/(s/((s*s*s*s*s*s*s**6*s*s)/s))))/(s**(-4)/(s**(2/9)*s)) assuming s is positive.
s**(-46/9)
Simplify (o**(-4)/o)**(6/17) assuming o is positive.
o**(-30/17)
Simplify (j/j**(1/22))**(-24) assuming j is positive.
j**(-252/11)
Simplify ((t*t*t*t/((t*t/(t*t**(-3/4)*t))/t)*t)/t)/t*t*t**(-14) assuming t is positive.
t**(-39/4)
Simplify (g*g**(-3)*g**2/g)**(-14) assuming g is positive.
g**14
Simplify (x/x**11*x**(-11)*x)/((x*x*(x**(-3)/x)/x)/x*x)**(-20) assuming x is positive.
x**(-80)
Simplify ((k**1)**43)**(-48) assuming k is positive.
k**(-20
|
{
"pile_set_name": "DM Mathematics"
}
|
rzrzzxxzz.
5/126
Four letters picked without replacement from {b: 1, u: 1, c: 1, l: 3, j: 6}. Give prob of sequence ljll.
1/330
Two letters picked without replacement from {q: 1, u: 3, w: 1, m: 8, i: 2, z: 1}. Give prob of sequence mi.
1/15
What is prob of sequence cg when two letters picked without replacement from jjgzajlccac?
3/110
Two letters picked without replacement from puaaudj. What is prob of sequence jd?
1/42
Three letters picked without replacement from rrwddmx. Give prob of sequence mdw.
1/105
What is prob of sequence vfff when four letters picked without replacement from fvpfffvvpvp?
2/165
Calculate prob of sequence pa when two letters picked without replacement from pappppppappapp.
33/182
What is prob of sequence pl when two letters picked without replacement from wtpmwmwpttttlmwmpwp?
2/171
Three letters picked without replacement from {d: 15, g: 5}. Give prob of sequence ddg.
35/228
What is prob of sequence yfyf when four letters picked without replacement from {f: 4, y: 3}?
3/35
Two letters picked without replacement from bbjorrtcj. What is prob of sequence ob?
1/36
What is prob of sequence ffd when three letters picked without replacement from ddfddfdd?
1/28
Three letters picked without replacement from {s: 1, h: 1, p: 1, d: 1, a: 1}. Give prob of sequence sdp.
1/60
Four letters picked without replacement from xsinsvix. Give prob of sequence issn.
1/420
Two letters picked without replacement from erecd. What is prob of sequence de?
1/10
What is prob of sequence rpnf when four letters picked without replacement from ottnorrrfopo?
1/3960
Two letters picked without replacement from jjggggggjjjjg. Give prob of sequence jg.
7/26
Three letters picked without replacement from {j: 2, y: 5, p: 2}. What is prob of sequence yyj?
5/63
Two letters picked without replacement from {a: 2, l: 1, g: 2, z: 1}. What is prob of sequence la?
1/15
What is prob of sequence py when two letters picked without replacement from {p: 1, z: 8, u: 2, y: 2}?
1/78
Calculate prob of sequence ffn when three letters picked without replacement from ttftnttffonht.
1/143
Three letters picked without replacement from {z: 3, p: 1, w: 1, e: 1, h: 1}. What is prob of sequence whz?
1/70
What is prob of sequence mss when three letters picked without replacement from {v: 3, s: 4, n: 5, m: 5, o: 1}?
5/408
Calculate prob of sequence jy when two letters picked without replacement from uquqqqujyyvquyyyquv.
5/342
What is prob of sequence hh when two letters picked without replacement from ddhhddhdhddhddhhhh?
4/17
What is prob of sequence rt when two letters picked without replacement from {r: 1, t: 1, w: 1}?
1/6
Two letters picked without replacement from kayxikkaaay. Give prob of sequence ky.
3/55
What is prob of sequence uu when two letters picked without replacement from eiluwuo?
1/21
Calculate prob of sequence dy when two letters picked without replacement from {e: 1, d: 1, y: 1}.
1/6
Two letters picked without replacement from gtgtzl. What is prob of sequence gl?
1/15
Calculate prob of sequence sisf when four letters picked without replacement from {f: 3, h: 4, s: 4, i: 2, z: 1}.
3/1001
Two letters picked without replacement from gglblo. What is prob of sequence bl?
1/15
Three letters picked without replacement from {z: 5, x: 14, g: 1}. What is prob of sequence xxx?
91/285
Four letters picked without replacement from fcccfccccff. Give prob of sequence fcfc.
7/110
Calculate prob of sequence mlrr when four letters picked without replacement from {r: 4, m: 2, l: 2}.
1/35
Two letters picked without replacement from sjjjjijjsjsijijmjij. Give prob of sequence jm.
11/342
Two letters picked without replacement from wrrwswysrrerrsyy. What is prob of sequence wy?
3/80
What is prob of sequence hp when two letters picked without replacement from psssspspsshssssshs?
1/51
Calculate prob of sequence gjgp when four letters picked without replacement from {j: 2, g: 2, p: 1}.
1/30
Two letters picked without replacement from fkkffkmvvvf. What is prob of sequence mf?
2/55
Calculate prob of sequence err when three letters picked without replacement from bmmabraaaaamrabaeaa.
1/2907
Calculate prob of sequence th when two letters picked without replacement from {c: 1, a: 1, f: 1, h: 1, t: 1}.
1/20
Calculate prob of sequence ea when two letters picked without replacement from eeeeaeeeeaeiaieeee.
13/102
What is prob of sequence zssh when four letters picked without replacement from hssssszzzszzzss?
2/195
What is prob of sequence xn when two letters picked without replacement from xxxmmnmmnqmmxxmxmm?
2/51
Four letters picked without replacement from {t: 7, q: 12}. What is prob of sequence tqqt?
77/1292
Three letters picked without replacement from uullu. Give prob of sequence ulu.
1/5
Four letters picked without replacement from ddddcdcdcdd. What is prob of sequence dddc?
7/55
Three letters picked without replacement from {n: 6, j: 3, k: 2, e: 2}. What is prob of sequence nek?
2/143
Two letters picked without replacement from {h: 2, m: 6, g: 3, d: 2}. What is prob of sequence dg?
1/26
Three letters picked without replacement from ghwgigggcgcijg. Give prob of sequence jiw.
1/1092
Two letters picked without replacement from eevtemvjvj. What is prob of sequence tm?
1/90
Calculate prob of sequence jqi when three letters picked without replacement from {j: 6, z: 1, i: 1, h: 4, q: 2, a: 1}.
2/455
Calculate prob of sequence rcif when four letters picked without replacement from oiforfforooicffffr.
7/12240
Two letters picked without replacement from qqd. Give prob of sequence dq.
1/3
Three letters picked without replacement from {t: 1, d: 1, i: 1, y: 1, s: 2, h: 2}. What is prob of sequence ihy?
1/168
Four letters picked without replacement from hsssdddddsdfdddf. Give prob of sequence ddsd.
3/65
Two letters picked without replacement from kkvkevkkpgeegzkep. What is prob of sequence pe?
1/34
Three letters picked without replacement from {x: 6, z: 4}. What is prob of sequence zxx?
1/6
Three letters picked without replacement from shhdkng. What is prob of sequence gnk?
1/210
Three letters picked without replacement from iutdt. What is prob of sequence itt?
1/30
What is prob of sequence lnrr when four letters picked without replacement from {n: 1, l: 4, j: 2, p: 2, r: 6}?
1/273
Calculate prob of sequence iizi when four letters picked without replacement from zizzzzii.
1/56
Three letters picked without replacement from {v: 2, c: 3}. Give prob of sequence cvv.
1/10
Calculate prob of sequence bb when two letters picked without replacement from {b: 17, t: 1}.
8/9
What is prob of sequence dmpt when four letters picked without replacement from {k: 1, y: 1, d: 1, p: 1, t: 2, m: 1}?
1/420
What is prob of sequence ttth when four letters picked without replacement from ttttthh?
1/7
What is prob of sequence qq when two letters picked without replacement from yyyyyqqyqqqqq?
7/26
What is prob of sequence xw when two letters picked without replacement from ewwx?
1/6
Two letters picked without replacement from {d: 9, g: 1, y: 5, t: 3}. Give prob of sequence dd.
4/17
Four letters picked without replacement from {f: 1, w: 4, m: 2, z: 1, o: 1}. Give prob of sequence mwmm.
0
Two letters picked without replacement from {p: 1, t: 6, q: 4, z: 3}. What is prob of sequence tp?
3/91
Calculate prob of sequence hh when two letters picked without replacement from hhhfhhhhfhfhff.
36/91
Calculate prob of sequence yyyy when four letters picked without replacement from {y: 7}.
1
Calculate prob of sequence rtlh when four letters picked without replacement from {h: 8, l: 1, r: 7, t: 1}.
1/1020
Two letters picked without replacement from {b: 1, o: 1, k: 1, x: 6, l: 3, a: 5}. Give prob of sequence ok.
1/272
Three letters picked without replacement from {z: 2, f: 1, j: 1, h: 1}. What is prob of sequence zjh?
1/30
What is prob of sequence icbb when four letters picked without replacement from idiiccbbizcibbb?
5/546
Four letters picked without replacement from wdwwwwwwwwwwwwwdwwww. What is prob of sequence dwdw?
1/190
What is prob of sequence djar when four letters picked without replacement from {a: 2, r: 1, g: 3, j: 1, d: 1, n: 4}?
1/5940
Calculate prob of sequence fz when two letters picked without replacement from fzjfffzfjzzuf.
2/13
What
|
{
"pile_set_name": "DM Mathematics"
}
|
ommon multiple of 39 and 11531.
34593
What is the common denominator of 59/274312 and 23/8?
274312
What is the lowest common multiple of 56250 and 11?
618750
Calculate the smallest common multiple of 13100 and 419200.
419200
Calculate the common denominator of 95/45216 and 173/450.
1130400
What is the common denominator of -29/253384 and 115/96?
3040608
Find the common denominator of -131/5340 and 151/66.
58740
What is the lowest common multiple of 1514 and 330?
249810
What is the common denominator of 41/4 and 1/12684?
12684
What is the smallest common multiple of 10176 and 48?
10176
Calculate the lowest common multiple of 636 and 6996.
6996
Calculate the smallest common multiple of 122996 and 1164.
368988
What is the common denominator of -34/2259 and 17/1506?
4518
Find the common denominator of 64/1688943 and -10/26253.
5066829
What is the lowest common multiple of 61554 and 18?
184662
What is the smallest common multiple of 42228 and 12?
42228
What is the common denominator of -43/784 and 50/44149?
706384
What is the lowest common multiple of 2450 and 14700?
14700
Find the common denominator of -30/1441 and 95/3144.
34584
Calculate the common denominator of 89/1494 and 35/498.
1494
Calculate the least common multiple of 21 and 475647.
3329529
What is the common denominator of -145/1802688 and -23/1201792?
3605376
What is the common denominator of 109/3948 and 71/464?
457968
What is the lowest common multiple of 38781 and 155124?
155124
Find the common denominator of 47/369 and -91/4152.
510696
What is the smallest common multiple of 847280 and 181560?
2541840
Find the common denominator of -1/252 and 29/155412.
1087884
Find the common denominator of 11/312200 and 27/280.
312200
What is the common denominator of -28/37281 and 133/816?
596496
What is the least common multiple of 71648 and 98516?
788128
Calculate the common denominator of -7/12 and 109/358620.
358620
Find the common denominator of 29/79 and -121/516.
40764
What is the least common multiple of 3190 and 11?
3190
What is the common denominator of 73/912132 and -9/709436?
6384924
What is the least common multiple of 42 and 2807?
16842
Calculate the lowest common multiple of 168 and 42210.
168840
Find the common denominator of -38/171039 and -20/7029.
513117
Find the common denominator of -31/2 and 137/7542.
7542
Calculate the lowest common multiple of 98688 and 192.
98688
What is the smallest common multiple of 21690 and 79530?
238590
What is the common denominator of -41/18530 and 119/2180?
37060
What is the common denominator of 91/32 and 19/8696?
34784
What is the smallest common multiple of 2870 and 2009?
20090
Find the common denominator of 137/49956 and -131/1932.
349692
What is the common denominator of -73/269698 and -57/22?
269698
Calculate the smallest common multiple of 1952 and 38.
37088
What is the common denominator of 9/1342456 and -29/315872?
5369824
Calculate the common denominator of -115/21552 and 77/24.
21552
Calculate the common denominator of 85/105666 and -49/99.
316998
Find the common denominator of -97/139106 and 127/12.
834636
Calculate the common denominator of 23/2894 and 143/26046.
26046
Find the common denominator of -44/141233 and -67/1129864.
1129864
What is the least common multiple of 86724 and 594?
86724
What is the lowest common multiple of 24 and 242828?
1456968
Calculate the common denominator of -7/5576 and -103/4920.
83640
What is the common denominator of -75/2192 and 139/12?
6576
Find the common denominator of 44/53 and 5/14.
742
Calculate the common denominator of -19/906 and -97/486.
73386
Calculate the least common multiple of 157572 and 525240.
1575720
What is the least common multiple of 955980 and 8136?
1911960
Calculate the least common multiple of 78741 and 2808.
1889784
Calculate the least common multiple of 5187 and 1729.
5187
Calculate the lowest common multiple of 127776 and 32.
127776
Calculate the common denominator of 49/22 and -13/264650.
2911150
Find the common denominator of -10/1754529 and -53/42.
3509058
Find the common denominator of 43/20020 and 3/130.
20020
What is the smallest common multiple of 114808 and 731901?
5855208
Calculate the least common multiple of 765 and 955.
146115
Find the common denominator of -61/264 and 71/1320.
1320
Find the common denominator of 16/460009 and -29/250914.
2760054
Calculate the least common multiple of 7696 and 5772.
23088
What is the lowest common multiple of 562397 and 460143?
5061573
Calculate the common denominator of 4/813 and 19/486.
131706
What is the lowest common multiple of 200910 and 180819?
1808190
Find the common denominator of 61/14908850 and -35/18.
134179650
Calculate the smallest common multiple of 35 and 6860.
6860
What is the smallest common multiple of 9 and 1494?
1494
Calculate the common denominator of 31/99 and 77/423.
4653
Calculate the common denominator of -67/31005 and -83/31005.
31005
Calculate the least common multiple of 913150 and 782700.
5478900
Calculate the least common multiple of 10624 and 418.
2220416
Calculate the lowest common multiple of 225 and 21975.
65925
What is the least common multiple of 241920 and 54?
241920
Calculate the smallest common multiple of 61890 and 30945.
61890
Calculate the common denominator of -119/2976 and 53/4278.
68448
What is the least common multiple of 129555 and 57?
2461545
Find the common denominator of -21/5 and -71/76466.
382330
What is the least common multiple of 97862 and 15236?
2544412
What is the common denominator of 27/230 and -43/1291?
296930
Calculate the least common multiple of 478388 and 93344.
3827104
What is the lowest common multiple of 4 and 1103514?
2207028
What is the lowest common multiple of 41886 and 273?
293202
Calculate the smallest common multiple of 17974 and 8170.
89870
Calculate the common denominator of -36/119 and 67/1932.
32844
Find the common denominator of 13/3306 and 37/136416.
2591904
What is the smallest common multiple of 6116 and 1529?
6116
Find the common denominator of 14/100465 and 71/15.
301395
Find the common denominator of 77/192 and 17/2880.
2880
Find the common denominator of -2/1971 and 35/1401.
920457
What is the least common multiple of 1623 and 3787?
11361
What is the least common multiple of 441 and 45612?
319284
What is the smallest common multiple of 3584 and 2744?
175616
Calculate the lowest common multiple of 483168 and 5752.
483168
What is the common denominator of -11/60 and 121/220896?
1104480
What is the smallest common multiple of 882 and 808206?
2424618
What is the common denominator of 41/4900 and -131/1050?
14700
Find the common denominator of 133/120 and -95/5592.
27960
Find the common denominator of 75/25604 and 121/31140.
1152180
Calculate the smallest common multiple of 1667 and 441.
735147
What is the least common multiple of 3920 and 49?
3920
Calculate the common denominator of -41/598 and 81/7544.
98072
Calculate the smallest common multiple of 20384 and 455.
101920
What is the lowest common multiple of 6 and 750346?
2251038
What is the lowest common multiple of 29120 and 432640?
3028480
Find the common denominator of -94/27375 and 43/1971.
246375
Find the common denominator of -41/22 and 103/5202344.
57225784
What is the common denominator of 53/49014 and 41/1071?
833238
What is the least common multiple of 15930 and 354?
15930
What is the common denominator of -101/8584 and -111/1624?
60088
What is the smallest common multiple of 2040 and 153?
6120
Calculate the least common multiple of 45 and 386075.
3474675
What is the common denominator of 63/2312792 and 35/64?
18502336
What is the common denominator of 17/2331 and 139/13986?
13986
Find the common denominator of 32/1202665 and -31/1202665.
1202665
Calculate the least common multiple of 1535 and 5115.
1570305
Calculate the lowest common multiple of 17632 and 6.
52896
Find the common denominator of -53/197766 and 62/9.
197766
Calculate the smallest common multiple of 2294636 and 16.
9178544
What is the least common multiple of 104427 and 58015?
522135
Calculate the common denominator of -139/2760 and 113/1046730.
4186920
What is the common denominator of 29/98 and -61/8?
392
What is the least common multiple of 835 and 50?
8350
Calculate the lowest common multiple of 19800 and 130680
|
{
"pile_set_name": "DM Mathematics"
}
|
and 4?
4
What is the highest common factor of 1813 and 49?
49
What is the greatest common divisor of 352 and 1903?
11
Calculate the greatest common divisor of 20 and 805.
5
Calculate the highest common divisor of 329 and 14.
7
What is the greatest common factor of 162 and 252?
18
Calculate the highest common factor of 486 and 270.
54
Calculate the greatest common factor of 32 and 2512.
16
Calculate the highest common divisor of 568 and 1207.
71
Calculate the highest common divisor of 830 and 120.
10
What is the greatest common factor of 4392 and 144?
72
Calculate the highest common factor of 1757 and 7.
7
What is the highest common divisor of 681 and 2270?
227
What is the greatest common divisor of 4025 and 25?
25
Calculate the greatest common divisor of 342 and 54.
18
What is the highest common factor of 122 and 4?
2
Calculate the highest common divisor of 5 and 35.
5
What is the greatest common factor of 448 and 126?
14
Calculate the highest common divisor of 99 and 9.
9
What is the highest common divisor of 176 and 16?
16
Calculate the greatest common divisor of 13 and 2119.
13
Calculate the highest common divisor of 66 and 3534.
6
Calculate the greatest common factor of 1570 and 1884.
314
Calculate the highest common factor of 735 and 70.
35
Calculate the greatest common divisor of 26 and 221.
13
Calculate the highest common divisor of 50 and 775.
25
What is the greatest common factor of 549 and 5856?
183
What is the highest common divisor of 112 and 35?
7
What is the highest common divisor of 291 and 2?
1
What is the highest common divisor of 23 and 943?
23
Calculate the highest common factor of 6157 and 141.
47
What is the greatest common divisor of 2187 and 9?
9
Calculate the greatest common factor of 302 and 6.
2
Calculate the highest common factor of 31 and 279.
31
Calculate the greatest common divisor of 105240 and 120.
120
Calculate the greatest common divisor of 768 and 12.
12
What is the greatest common divisor of 135 and 6831?
27
What is the highest common divisor of 234 and 338?
26
Calculate the greatest common factor of 75 and 3.
3
Calculate the greatest common factor of 30 and 1545.
15
Calculate the greatest common factor of 3844 and 279.
31
What is the greatest common divisor of 665 and 3535?
35
Calculate the highest common factor of 8 and 88.
8
What is the highest common factor of 2883 and 651?
93
What is the greatest common divisor of 1408 and 154?
22
What is the highest common divisor of 405 and 3510?
135
Calculate the greatest common factor of 145 and 10.
5
Calculate the highest common factor of 2929 and 202.
101
Calculate the greatest common divisor of 35 and 1540.
35
What is the highest common factor of 66 and 1166?
22
Calculate the highest common factor of 273 and 143.
13
Calculate the greatest common divisor of 54 and 66.
6
What is the greatest common factor of 117 and 6?
3
What is the highest common factor of 38 and 646?
38
What is the highest common factor of 161 and 437?
23
What is the greatest common divisor of 64 and 944?
16
Calculate the greatest common divisor of 39 and 13.
13
Calculate the greatest common divisor of 1808 and 16.
16
Calculate the highest common divisor of 27 and 2943.
27
What is the highest common divisor of 730 and 10?
10
What is the highest common divisor of 513 and 558?
9
What is the highest common factor of 270 and 60?
30
What is the highest common factor of 13 and 3?
1
What is the highest common factor of 198 and 1914?
66
Calculate the greatest common divisor of 100 and 75.
25
What is the highest common factor of 555 and 6?
3
Calculate the highest common factor of 9779 and 11.
11
What is the highest common divisor of 186 and 24?
6
What is the greatest common factor of 7324 and 4?
4
What is the greatest common divisor of 9576 and 56?
56
What is the highest common divisor of 31 and 4154?
31
Calculate the greatest common factor of 480 and 1860.
60
What is the greatest common factor of 624 and 48?
48
What is the greatest common factor of 187 and 204?
17
Calculate the greatest common factor of 781 and 33.
11
What is the highest common divisor of 14 and 1834?
14
What is the greatest common factor of 15 and 33?
3
What is the highest common divisor of 3757 and 91?
13
What is the greatest common factor of 39 and 1833?
39
What is the greatest common factor of 136 and 102?
34
What is the highest common divisor of 715 and 605?
55
What is the greatest common factor of 16 and 16?
16
Calculate the highest common divisor of 100 and 2.
2
What is the greatest common factor of 3390 and 12?
6
What is the highest common divisor of 30 and 294?
6
Calculate the highest common factor of 30 and 210.
30
What is the highest common factor of 105 and 15?
15
Calculate the highest common divisor of 198 and 22.
22
What is the highest common divisor of 32127 and 3?
3
Calculate the greatest common divisor of 814 and 55.
11
What is the highest common factor of 814 and 110?
22
What is the highest common divisor of 252 and 63?
63
Calculate the highest common divisor of 37596 and 156.
156
Calculate the highest common factor of 252 and 1638.
126
Calculate the highest common factor of 450 and 100.
50
What is the highest common factor of 98 and 1519?
49
Calculate the greatest common factor of 28395 and 9.
9
What is the highest common divisor of 136 and 24?
8
What is the highest common divisor of 2244 and 2108?
68
What is the highest common divisor of 3072 and 24?
24
What is the highest common factor of 10 and 35?
5
Calculate the greatest common factor of 196 and 4.
4
Calculate the highest common factor of 25 and 425.
25
What is the greatest common factor of 30 and 40?
10
What is the highest common divisor of 26 and 377?
13
What is the greatest common factor of 36 and 90?
18
What is the highest common divisor of 8 and 24?
8
Calculate the highest common divisor of 267 and 445.
89
Calculate the greatest common factor of 68 and 68.
68
What is the highest common factor of 5460 and 10?
10
Calculate the highest common factor of 45 and 1545.
15
Calculate the highest common divisor of 242 and 44.
22
What is the greatest common factor of 40 and 104?
8
Calculate the greatest common divisor of 25766 and 26.
26
Calculate the greatest common divisor of 100 and 8300.
100
What is the greatest common divisor of 117 and 78?
39
Calculate the greatest common divisor of 5695 and 335.
335
What is the highest common factor of 4 and 68?
4
Calculate the greatest common factor of 4 and 844.
4
Calculate the greatest common factor of 160 and 2688.
32
Calculate the highest common factor of 10 and 45.
5
Calculate the greatest common factor of 20 and 124.
4
Calculate the highest common factor of 187 and 51.
17
What is the highest common factor of 75 and 675?
75
What is the greatest common divisor of 9 and 3771?
9
Calculate the highest common factor of 252 and 672.
84
Calculate the greatest common factor of 133 and 513.
19
What is the highest common factor of 9 and 9?
9
Calculate the greatest common divisor of 56322 and 126.
126
Calculate the greatest common factor of 38 and 3382.
38
Calculate the highest common divisor of 105 and 399.
21
Calculate the greatest common divisor of 27772 and 212.
212
Calculate the greatest common factor of 79 and 60356.
79
What is the greatest common factor of 44 and 35068?
44
What is the highest common divisor of 24 and 4984?
8
What is the greatest common divisor of 2085 and 15?
15
What is the highest common factor of 222 and 111?
111
Calculate the highest common factor of 13 and 8.
1
Calculate the greatest common divisor of 61 and 244.
61
What is the highest common divisor of 154 and 66?
22
What is the highest common divisor of 3333 and 132?
33
Calculate the greatest common divisor of 825 and 120.
15
What is the greatest common factor of 750 and 1650?
150
What is the highest common factor of 475 and 1976?
19
What is the highest common divisor of 2 and 280?
2
Calculate the greatest common divisor of 16 and 632.
8
Calculate the highest common divisor of 98 and 266.
14
Calculate the highest common factor of 287 and 9471.
287
What is the greatest common factor of 17 and 2873?
17
What is the greatest common factor of 26 and 494?
26
What is the highest common divisor of 12699 and 153?
153
Calculate the greatest common divisor of 3
|
{
"pile_set_name": "DM Mathematics"
}
|
ar?
81
How many millilitres are there in 0.8551789l?
855.1789
How many years are there in 52534.1 millennia?
52534100
What is 51/4 of a litre in millilitres?
12750
Convert 38.98396ml to litres.
0.03898396
How many meters are there in one fifth of a kilometer?
200
What is 17/10 of a micrometer in nanometers?
1700
What is 45444.72s in nanoseconds?
45444720000000
How many millimeters are there in 0.7656386cm?
7.656386
Convert 56958.99 kilograms to nanograms.
56958990000000000
How many meters are there in 7.143827 millimeters?
0.007143827
What is 3/5 of a litre in millilitres?
600
Convert 673800.9 millennia to centuries.
6738009
What is fourty-eight fifths of a meter in centimeters?
960
What is 94.90912l in millilitres?
94909.12
What is 85.56366 months in years?
7.130305
What is one twentieth of a second in microseconds?
50000
How many millilitres are there in 77906.05 litres?
77906050
Convert 15.14728l to millilitres.
15147.28
How many years are there in twenty-one quarters of a millennium?
5250
How many weeks are there in 2581420.8 hours?
15365.6
How many micrometers are there in 11/10 of a millimeter?
1100
How many months are there in 9.89723 millennia?
118766.76
What is 42/5 of a kilometer in meters?
8400
Convert 34312.74 years to months.
411752.88
What is 73312.29 litres in millilitres?
73312290
How many tonnes are there in 8.957364 grams?
0.000008957364
How many centimeters are there in 2.140623 meters?
214.0623
Convert 972.4162ml to litres.
0.9724162
Convert 27.74383kg to nanograms.
27743830000000
What is 397.947s in milliseconds?
397947
What is fourty-five quarters of a meter in centimeters?
1125
How many micrograms are there in 0.1575798g?
157579.8
What is 11/2 of a minute in seconds?
330
What is 877431.2 milligrams in kilograms?
0.8774312
What is 1358.246 weeks in minutes?
13691119.68
Convert 9.114744 minutes to seconds.
546.88464
How many minutes are there in 3/5 of a day?
864
Convert 0.9331535 minutes to seconds.
55.98921
What is five quarters of a litre in millilitres?
1250
What is nineteen quarters of a kilogram in grams?
4750
How many milligrams are there in 639905.6ug?
639.9056
What is 0.1888549 millennia in decades?
18.88549
What is nine tenths of a millennium in centuries?
9
Convert 0.242165 micrograms to tonnes.
0.000000000000242165
How many meters are there in three eighths of a kilometer?
375
What is 0.6602363 micrometers in centimeters?
0.00006602363
What is 11/2 of a kilometer in meters?
5500
How many months are there in 7.972038 millennia?
95664.456
How many millimeters are there in thirty-four fifths of a centimeter?
68
How many months are there in fourty-seven quarters of a decade?
1410
What is 0.5527844 weeks in microseconds?
334324005120
What is 0.255954 millimeters in nanometers?
255954
How many minutes are there in fourteeen ninths of a week?
15680
How many millilitres are there in six fifths of a litre?
1200
How many nanoseconds are there in 1.03286 seconds?
1032860000
What is 21/5 of a micrometer in nanometers?
4200
How many centimeters are there in three tenths of a kilometer?
30000
How many millennia are there in 98451.96 years?
98.45196
How many centimeters are there in 6/5 of a meter?
120
How many litres are there in 69651.4 millilitres?
69.6514
What is 269.8249t in milligrams?
269824900000
Convert 75.28433 kilometers to centimeters.
7528433
How many months are there in 21/8 of a century?
3150
What is 59/3 of a day in hours?
472
What is twenty-five halves of a century in years?
1250
Convert 2255114.7 months to centuries.
1879.26225
How many hours are there in 3554822.7us?
0.00098745075
How many millilitres are there in seven quarters of a litre?
1750
What is 6/25 of a gram in milligrams?
240
What is three tenths of a millimeter in micrometers?
300
How many micrometers are there in 3/25 of a centimeter?
1200
How many microseconds are there in one twentieth of a millisecond?
50
What is twenty-one fifths of a kilometer in meters?
4200
How many kilometers are there in 3854.359nm?
0.000000003854359
Convert 994.5994 millilitres to litres.
0.9945994
Convert 4.183912 litres to millilitres.
4183.912
Convert 0.9393241l to millilitres.
939.3241
What is seven halves of a litre in millilitres?
3500
How many seconds are there in 384.9184 hours?
1385706.24
Convert 0.2456262 meters to kilometers.
0.0002456262
How many nanograms are there in 21/5 of a microgram?
4200
What is 1315.235 litres in millilitres?
1315235
What is 3/10 of a litre in millilitres?
300
How many grams are there in one sixteenth of a tonne?
62500
How many kilograms are there in 17/4 of a tonne?
4250
How many microseconds are there in fourty-five quarters of a millisecond?
11250
How many millimeters are there in eleven eighths of a meter?
1375
What is 3/25 of a microgram in nanograms?
120
What is 7/6 of a week in hours?
196
What is 0.6803933 litres in millilitres?
680.3933
What is 458569.35 seconds in days?
5.307515625
What is 8/21 of a week in hours?
64
How many milliseconds are there in four thirds of a minute?
80000
What is 0.9420445 centimeters in nanometers?
9420445
Convert 5960.676ng to micrograms.
5.960676
How many centimeters are there in six fifths of a meter?
120
Convert 924.7482 micrograms to nanograms.
924748.2
What is 260374.8 weeks in seconds?
157474679040
How many litres are there in 91928.04ml?
91.92804
How many nanoseconds are there in 21/2 of a microsecond?
10500
What is 99.97313um in nanometers?
99973.13
What is 21/5 of a litre in millilitres?
4200
Convert 79.50932 centimeters to millimeters.
795.0932
How many nanometers are there in 45/4 of a micrometer?
11250
What is 997.5794 micrometers in centimeters?
0.09975794
What is 1/5 of a litre in millilitres?
200
What is 37.00089 millilitres in litres?
0.03700089
Convert 2.211578 millilitres to litres.
0.002211578
How many nanoseconds are there in 8.602031 hours?
30967311600000
How many minutes are there in 6.94094 weeks?
69964.6752
What is 289.2492ns in microseconds?
0.2892492
How many millimeters are there in 1/10 of a kilometer?
100000
How many nanometers are there in 403.9896 millimeters?
403989600
How many kilograms are there in three tenths of a tonne?
300
What is one tenth of a millimeter in micrometers?
100
How many millilitres are there in fifty-four fifths of a litre?
10800
How many milligrams are there in 65.54326ng?
0.00006554326
What is 19/4 of a kilometer in meters?
4750
How many micrograms are there in 3/10 of a milligram?
300
What is 15.99375 litres in millilitres?
15993.75
What is 513.424 weeks in seconds?
310518835.2
What is 10151.73 microseconds in days?
0.000000117496875
How many grams are there in 0.7732877 micrograms?
0.0000007732877
What is 1/20 of a week in minutes?
504
What is 8/25 of a litre in millilitres?
320
How many microseconds are there in seven quarters of a millisecond?
1750
How many meters are there in 6/5 of a kilometer?
1200
How many micrograms are there in 17/2 of a milligram?
8500
Convert 767696.4 years to millennia.
767.6964
What is 6/5 of a minute in milliseconds?
72000
How many years are there in 29/5 of a millennium?
5800
How many seconds are there in twenty-five halves of a minute?
750
What is 1/5 of a hour in seconds?
720
How many seconds are there in 2/21 of a week?
57600
Convert 99.31347kg to grams.
99313.47
How many microseconds are there in 8663.632 nanoseconds?
8.663632
What is 77/5 of a second in milliseconds?
15400
What is 1/6 of a year in months?
2
What is 17/6 of a year in months?
34
What is eight fifteenths of a minute in seconds?
32
Convert 0.8650683 months to decades.
0.0072089025
What is twenty-one halves of a litre in millilitres?
10500
Convert 791360.3t to nanograms.
791360300000000000000
What is fourty-nine quarters of a litre in millilitres?
12250
What is one fifth of a litre in millilitres?
200
What is twenty-seven halves of a gram in milligrams?
13500
What is 9.257911 milligrams in grams?
0.009257911
What is 184.3044 years in decades?
18.43044
What is one tenth of a litre in millilitres?
100
What is 8/25 of a centimeter in micrometers?
3200
How many millilitres are there in seventeen halves of a litre?
8500
What is 0.5123905 kilograms in micrograms?
512390500
Convert 160.8794nm to micrometers.
0.1608794
Convert 623.473 millimete
|
{
"pile_set_name": "DM Mathematics"
}
|
ite?
True
Suppose -2*x + 6*x + 2664 = 0. Let j = 815 - x. Is j prime?
True
Let f = 773 + -516. Is f prime?
True
Let a(l) = -38*l + 52. Let h be a(-22). Let k = 5987 - h. Is k a prime number?
True
Suppose 30*n - 44551 = 17*n. Is n a prime number?
False
Suppose 7*x - 6*x = 4. Suppose 3*g - 3148 = -x*r, -g - g = -r + 787. Is r a prime number?
True
Let k = 68715 + -18266. Is k a prime number?
False
Let w(d) = 6*d**2 + d + 4. Let i be w(3). Suppose 5*l = m + 145, -3*l + 48 + 46 = -2*m. Suppose l = o - i. Is o prime?
True
Suppose 15 = -4*g + b, 40 = -2*g - 3*g - 3*b. Let v(x) = -x**2 - x + 8. Let i be v(g). Let m = i - -393. Is m prime?
False
Suppose -6*k = -p - 11*k - 8, 0 = -2*p - 4*k + 2. Suppose -b = p - 10. Suppose b*c + 200 - 1085 = 0. Is c prime?
False
Suppose 1282 = 2*a - 2*g, a - 319 - 292 = -5*g. Suppose -7*k = -k - a. Suppose -5*l - 4*q + 265 = 0, 0*q - 5*q = -2*l + k. Is l composite?
False
Is (-8)/1 - (-22 + -11737) a prime number?
False
Suppose 3*l - 2*l - 2*c = 1543, -3*c - 3083 = -2*l. Is l composite?
True
Is -2 + 1*(-2 - (-2079)/7) a prime number?
True
Suppose 3*y = -2 - 1. Let q(c) = c - 1. Let p be q(y). Is (-2)/(-4)*(292 + p) a prime number?
False
Let s(u) = -14042*u - 33. Is s(-5) a prime number?
True
Suppose 5*v = 9057 + 3123. Suppose 0 = 4*d + 4*f - v, -3*d + 4*f - f + 1857 = 0. Is d composite?
True
Let x(z) = z - 2. Let m be x(1). Let y(u) = 98*u**2 - u. Let f be y(m). Let v = -10 + f. Is v a composite number?
False
Let m(h) = -13*h - 3. Let p be m(-3). Let g(j) = -10*j - 4 - p*j - 6 + 3*j. Is g(-5) a composite number?
True
Is (25/10*(-44636)/(-5))/2 prime?
True
Let f = 6410 + -2087. Suppose 1287 = 2*q - f. Suppose -q = -5*k - 2*h, 4*k - h - 2257 = -0*h. Is k a composite number?
False
Let r = -83 + 89. Suppose r*n - 1194 = -0*n. Is n composite?
False
Let m be 0/(5 - 2)*(-2)/4. Is 1/(-1) - (m + -116) a composite number?
True
Let x be 15 - -1*(4 + 0). Let y = x - 14. Suppose -3*z = y*g + 2*z - 655, 0 = 4*z. Is g a prime number?
True
Let p(c) = c - 6. Let i be p(-9). Is 5606/8 + i/(-60) composite?
False
Is (4 + (6157 - -2))/(2 + -1) a composite number?
False
Let j(y) = 5*y**2 + 50*y**3 - 2 + 2*y**2 - 2*y - 10*y**2. Is j(3) composite?
True
Suppose 4*f - 30 = -f. Suppose l = -f*l + 5173. Is l a prime number?
True
Let d = 2055 - 3597. Let c be (30/(-20))/(6/8). Is (4/12)/(c/d) prime?
True
Let a(h) = -h**2 - 3*h + 12. Let x be a(-5). Suppose -6 = q - x*q - 5*v, 3*q = 4*v + 113. Is q prime?
True
Suppose 0*p + x = -p + 1390, -4*x - 6959 = -5*p. Is p a composite number?
True
Let g(c) = -75*c + 7. Let q(r) = 1. Let b(l) = -2*g(l) - 2*q(l). Let w be b(5). Is (w*(2 + -3))/(-2) prime?
True
Suppose 5*o - 15 = 0, 34466 = -23*u + 25*u - 4*o. Is u a composite number?
False
Let p = -7 - -12. Suppose 0*k - k + 1238 = 3*x, 0 = -x - p*k + 436. Is x a prime number?
False
Let k = -4504 - -10973. Is k a prime number?
True
Let w = -17 - -31. Suppose -51 + w = -j + o, 0 = 3*o. Is j a composite number?
False
Let v = 10 + -5. Suppose -v*f + 35 = h + h, 4*h = 4*f. Suppose -166 = -2*m + f*a, -5*m + 521 - 106 = -a. Is m prime?
True
Suppose 4167 - 59598 = -9*q. Is q a prime number?
False
Let a = 18 - 37. Let l = 15 + a. Is (0 + l/(-8))*818 composite?
False
Let v(u) be the first derivative of 56/3*u**3 - 5*u + u**2 + 5. Is v(3) a prime number?
False
Suppose -4*c = -6*c - 0*c. Suppose 0 = -c*h + 3*h - 447. Is h a prime number?
True
Is 43748/16 - 30/(-40) composite?
True
Suppose -2*c + 7 = -1. Suppose -2*j + c*m = -m - 66, j + m - 47 = 0. Is j composite?
False
Let p = 2677 + -1902. Suppose 3*m - 104 = p. Is m a composite number?
False
Suppose 9 = 3*o + 3. Suppose o*y + 1512 = 6*y. Let x = y + -215. Is x a prime number?
True
Suppose -2*b + 17 = -b + 4*u, 4*b = u + 34. Suppose -2*c - 62 = -20. Is b/c + 282/21 prime?
True
Let k(a) be the first derivative of -10/3*a**3 + 1 - 3*a + 13/2*a**2 + 1/4*a**4. Is k(9) a prime number?
False
Let u(d) be the third derivative of d**8/5040 - d**7/504 + d**6/144 + d**5/15 + 3*d**2. Let z(y) be the third derivative of u(y). Is z(5) prime?
False
Let l = -23 - -25. Suppose 0 = 2*w + l*w - 348. Is w a composite number?
True
Suppose 22 - 7 = 5*o + 3*j, -2*j = 3*o - 9. Suppose 0*k + 4*x + 4 = k, -2*k - 2 = -o*x. Let b(m) = -29*m - 3. Is b(k) composite?
False
Is 3/4 + 10/(600/209295) a prime number?
False
Let v(h) = -1676*h**3 - 4*h**2 + 5*h + 2. Is v(-4) composite?
True
Let z = 67 - -65. Let r be 2/2 - (-4)/4. Is 0 + (z - r - 3) a composite number?
False
Suppose 2*f - 11 = f + 3*a, -4 = 4*f + 4*a. Let r(v) = -v + 12. Let x(k) = -3. Let i(u) = -2*r(u) - 9*x(u). Is i(f) a prime number?
True
Let a be (-10)/15*(-3)/(-2). Let c(k) = 77*k + 2. Let w(l) = -77*l - 1. Let r(i) = 3*c(i) + 4*w(i). Is r(a) a prime number?
True
Let v = 926 - 529. Is v a prime number?
True
Let n(w) = 1295*w**2 - 47*w + 31. Is n(6) composite?
True
Suppose -10158 = -6*x + 10284. Is x a prime number?
True
Suppose -7 = 2*w - 17, 4*c = -2*w + 78654. Is c a composite number?
False
Suppose -4*b - 5*w = -2*b - 16, -1 = b - 2*w. Suppose -t + 12 = -b*t. Is 30308/52 + t/(-39) a prime number?
False
Let c(z) = z**3 + 9*z**2 - 1. Let h be c(-9). Let f(b) = -327*b**3 + b**2 - 2*b - 3. Is f(h) a composite number?
True
Is (2 + 5)/14 - (-34986)/4 prime?
True
Suppose j + 903 = 3*r, j + 2*r - 27 + 935 = 0. Let x = j + 1943. Is x composite?
True
Is -7 - -1660*(-18)/(-12) composite?
True
Suppose -2*b + 0 + 8 = 0. Let c(i) = 7*i**2 + 7*i + 3. Let y(s) = s**2 - s. Let h(j) = c(j) + 4*y(j). Is h(b) a composite number?
False
Let j(v) = 50*v**2 + 10*v - 9. Let s = -75 - -83. Is j(s) prime?
True
Let m(a) = 144*a + 13. Let n be (0 + (-1)/2)*-3*2. Is m(n) prime?
False
Let s(z) = -519*z + 2. Suppose 3*i - 4*x + 1 = 0, -3*i + x - 17 = 5*x. Is s(i) a prime number?
True
Is ((-1882)/7)/(96/(-336)) a composite number?
False
Let g(o) = -o**3 + o + 524. Let c be g(0). Let u = c - 1131. Is u/(-5) - (-15)/25 prime?
False
Suppose 347*z = 319*z + 706132. Is z a composite number?
False
Let v = 483 - -599. Is v a composite number?
True
Suppose 0 = v - 3, 2*r - 10019 = -2*r + 3*v. Is r a prime number?
False
Is 7 + 30/(-10) - -8693*3 prime?
True
Suppose -2*i + 18*a - 14*a + 37890 = 0, 3*i - 56841 = 3*a. Is i a composite number?
True
Let l(b) = b**3 - 5*b**2 - 2*b + 4. Let f be l(5). Let k(a) = -21*a - 16. Let z be k(f). Suppose -2 = -2*q, -50 = -p - 2*q + z. Is p a prime number?
False
Suppose 0 = 3*j + 11*j - 2478. Is j a prime number?
False
Is (-31555)/(-6) - (-4)/(-24) - 2 composite?
True
Is ((-7)/21)/((-5)/(-3682740)*-4) prime?
True
Suppose 0*m - 428 = -d - 2*m, 0 = -m + 3. Suppose c - d = -c. Is c a prime number?
True
Let r be 2555 + (7 + -3)*1 + -4. Suppose 0 = -3*h + m + r + 589, 3*h - 2*m = 3141. Is h a prime number?
True
Let a(c) = 7*c + 5. Let f(l) = -4*l - 2. Let t(s) = 3*a(s) + 5*f(s). Let p be t(0). Suppose 2*w = 4*u + 334, p*u = 3*w + 2*u - 504. Is w prime?
False
Suppose -5*o + 49 = -56. Suppose d - 17 = 3*l - 0, 3*l = 3*d - o. Is 1468*(d - (-14)/(-8)) a prime number?
True
Let b(d) = 49*d - 13. Let i(t) = 2*t**2 + t - 1. Let g be i(-3). Is b(g) composite?
False
Let i be (20/6)/(2/252). Let d(c) = -2*c**2 - c + 7. Let v be d(-10). Let j = i + v. Is j prime?
False
Let m be -6*(-53 - (4 - 3)). Suppose i - 4*g - m = 0, 1801 - 547 = 4*i - 2*g. Let b = i - 153. Is b composite?
True
Let v = -24 - -24. Suppose 18*p - 16*p - 8834 = v. Is p composite?
True
Let f = -9 + 6. Let n = f + 6. Suppose n*w = 2*i - 844, 5*w - 1666 = -4*i - 0*w. Is i a prime number?
True
Let i = 0 - -12. Let m be 46/6 + i/(-18). Suppose 3*z = 2*z + m. Is z composite?
False
Let x = 23 + -35. Let o be x/(-1) - (-7 + 9). Is 37 + -1 + (-10)/o prime?
False
Let r be (-4)/14 + (-6)/(-21). Suppose -9 = -3*h + f, -4 = -r*h + h + 2*f. Suppose -2*z = h*z - 28. Is z a prime number?
True
Suppose -3*o = -3*p - 9, 4*p = -2*o + 5*o - 9. Suppose t + o*t = 3*x + 7384, 4*x - 7356 = -4*t. Is t a composite number?
True
Let y = -37414 + 68795. Is y a prime number?
False
Let q = -9 - -4. Let w be (6 - 2) + (q - -4). Suppose w*i + 171 = 816. Is i a composite number?
True
Let y = 16 + -20. Is (y + (-1084 - -1))/(-1) prime?
True
Let v(o) be the third derivative of o**5/30 - o**4/8 + 5*o**3/3 + o**2. Let x(l) = l**3 + 4*l**2 - 11*l + 13. Let i be x(-6). Is
|
{
"pile_set_name": "DM Mathematics"
}
|
o(k) = k + 4. Let j be o(-3). Which is the smallest value? (a) j (b) -4/7 (c) 1/7
b
Let z(s) = -s**2 + 3*s + 7. Let k be z(4). What is the smallest value in 1/3, k, 2/17?
2/17
Let z = -37 + 35. Which is the third smallest value? (a) z (b) -4 (c) 1/4
c
Let s = 16 + -65/4. What is the second biggest value in 1/6, 2/7, s?
1/6
Let k = 629/1015 + -4/203. Let n = 14.86 + 0.14. Let u = n - 11. Which is the smallest value? (a) 1 (b) k (c) u
b
Let s = -0.1 - 1.9. Let h(z) = -z**2 + 4. Let o be h(3). What is the second biggest value in 2, s, o?
s
Let y = -19.3 - -19. What is the second smallest value in 0.4, 1, y?
0.4
Let f = 13 + -18. Let j = 119/110 - 9/10. Which is the biggest value? (a) -3 (b) j (c) f
b
Suppose 3 = -0*z + 3*z. Let o be -1 - 3*(-4)/2. Suppose o*w + 3*r + 12 + 2 = 0, 5*w + 2*r + 16 = 0. Which is the third smallest value? (a) w (b) 2 (c) z
b
Let r = -6.8 - -1.8. Which is the second smallest value? (a) 5 (b) r (c) 3
c
Let w = -213 + 209.98. Let g = w + 0.02. Let x = 0.0344 - -1.9656. What is the biggest value in x, 0.4, g?
x
Suppose 4*f - 3*z + 3 = 0, -z - 13 = -f - 3*z. Which is the biggest value? (a) -4/9 (b) -5 (c) f
c
Let l = 2.6 - 1.6. Which is the biggest value? (a) -4 (b) l (c) 0.1
b
Let v = 1 + -1. Let o = -169.8 - -170. Which is the smallest value? (a) v (b) o (c) 4
a
Let c = 0.25 - 0.05. What is the third biggest value in c, 13, -0.2?
-0.2
Let y(l) = -l**3 + 6*l**2 - 5*l + 3. Let t be y(5). Let n = 94 + -93.9. What is the third biggest value in t, 5, n?
n
Let a = -1 + 1.2. Let g = -3.2 + 3. Let p = 17 + -18. What is the smallest value in g, p, a?
p
Let g = 6.9 - 11. Let q = g + 4. Which is the third smallest value? (a) -5 (b) q (c) -2/5
b
Suppose g + 2*g = 3. Which is the third biggest value? (a) 2/13 (b) 0.01 (c) g
b
Let k = 5 + -3. Let t = k - 2. Let u(l) = l**2 + 7*l + 2. Let g be u(-6). Which is the third biggest value? (a) t (b) g (c) 2
b
Let r = -10.1 + 1.1. Let i = r - -6. Let p = 0.7 - 0.9. What is the third smallest value in 5, i, p?
5
Let p = -5 + 8. What is the smallest value in -3, p, 0.4?
-3
Let g be ((-56)/18)/4*278. Let l = g - -216. Which is the second smallest value? (a) l (b) -2 (c) -6
b
Let j = 48.9 + -49. Which is the second smallest value? (a) j (b) 5 (c) 2
c
Let n(i) = -3*i**2 - 4*i. Let y be n(-2). Which is the biggest value? (a) -0.2 (b) -1 (c) y
a
Let q = 1.9612 - -0.0488. Let r = 1.9 - q. Let d = -0.09 + r. What is the second biggest value in d, 0, 2?
0
Suppose -4*v - 5 = -1, 5*s - 4 = 4*v. Suppose 0 = 4*b - s*b. Suppose -3 = -b*r + r. What is the third smallest value in -0.4, r, 5?
5
Let r = -0.5 - -1. Let h be ((-1)/2)/(42/56). Which is the second smallest value? (a) 2/13 (b) h (c) r
a
Let d be (-1)/2*(-3)/2. Let q = 8.1 + -8.04. Which is the biggest value? (a) d (b) 2 (c) q
b
Let o = 2 + -3. Let c = -2 + 2. Let g = 1 - -3. What is the third biggest value in o, g, c?
o
Let l = -0.299 - 0.001. Which is the third smallest value? (a) 0 (b) -0.4 (c) l
a
Let q = 11 + -15. Which is the second smallest value? (a) 0 (b) 0.3 (c) q
a
Let p = -1.1 + 0.8. Suppose -1 = j - 4. Let i be j*5/(405/6). What is the biggest value in p, 0.1, i?
i
Let h = -7 - -5. Suppose 2*d = -4 + 6. What is the third smallest value in d, h, 3?
3
Let c(u) = u**3 + 6*u**2 + 5*u + 4. Let v be c(-5). Let m(d) = d**2 - 6*d + 4. Let t be m(v). What is the third biggest value in 1/4, t, -2/19?
t
Suppose 0 = -0*x - 2*x + 4. Let w be (0 - 1)*x/(-4). Let t = 6 + -3. What is the third biggest value in -1, w, t?
-1
Let g = 94 - 98. What is the second smallest value in 3/4, 1/9, g?
1/9
Suppose -3*q + 8 = -5*v - 12, 16 = -2*q - 4*v. What is the second smallest value in 10, q, -3/4?
q
Suppose 11 = -0*w + w. Let p = 11 - w. What is the smallest value in 1/4, p, 5?
p
Let y = 0.068 + -0.568. Which is the smallest value? (a) y (b) 2 (c) 1
a
Let h = -15.4 + 70.1. Let o = h + -58. Let y = 0.3 + o. What is the smallest value in 3, y, 2/3?
y
Let g = -1 + 0.7. Let w = -1.3 - -0.5. Let v = 0.4 + w. Which is the second smallest value? (a) v (b) 2/11 (c) g
c
Let i be (-3)/33 + 0/5. Which is the second biggest value? (a) 2 (b) i (c) 2/9
c
Let i = 6 + -2. Let x = 6 - 6.7. Let p = x + 1.2. Which is the second biggest value? (a) i (b) p (c) -5
b
Let u(h) = -h**2 - 8*h - 8. Suppose 2*o - 8 + 20 = 0. Let y be u(o). What is the third biggest value in y, 5, -4?
-4
Let n = -5 + 4.6. Let u = -58 + 58.4. Let z = 0.48 + 0.02. Which is the smallest value? (a) n (b) u (c) z
a
Let l be (2/14)/((-2)/4). Let d = -13 - -16. What is the third biggest value in d, -1, l?
-1
Let f = 0.3 + -0.5. Let p = f - 0.3. Let m = -0.9 - -1. Which is the third biggest value? (a) 5 (b) p (c) m
b
Let r = -0.22 + -0.08. Let p = r + -2.7. What is the third smallest value in p, -2, 4?
4
Suppose 5 - 9 = 4*y. Let n be (y + -1)*(5 + -4). What is the second biggest value in 1, n, -2/11?
-2/11
Let i be ((-1)/2)/(1/(-222)). Let u = 780/7 - i. What is the second biggest value in u, 4, -1/6?
u
Let t be -3*4/64*2. Which is the third biggest value? (a) t (b) -3 (c) -5
c
Let k = -3.01 - -0.01. Let q be ((-56)/(-9) - 0) + -3. Let r = -11/3 + q. Which is the third smallest value? (a) r (b) k (c) 2/9
c
Let c = 5 + -13. Let b be (-8)/30 + c/20. Let h = -14 - -14.5. What is the second smallest value in h, -4, b?
b
Let b = -3/16 + 27/16. Let p = -0.056 - -3.056. What is the smallest value in b, -2/3, p?
-2/3
Let f = -5 - -2. Let u = -0.07 - -0.06. Let q = 0.11 + u. What is the second biggest value in f, q, 2?
q
Let j(z) = -z + 10. Let o be j(7). Suppose -4*w + 3*v = 5, o*v = w - 6*w - 40. Which is the smallest value? (a) w (b) 5 (c) 3
a
Let c = 5 - 2. Let t = 1.4 - 1. What is the second smallest value in c, t, 2/3?
2/3
Suppose 5 - 9 = -2*x. Suppose -5 = h - x. What is the third smallest value in -0.2, h, -2?
-0.2
Let u = -34/21 + 16/7. Let s be 0 - ((-1)/(-2) - 2)/6. Which is the biggest value? (a) s (b) -0.1 (c) u
c
Let d = -3 + -1. Let y = 9 + d. Which is the third smallest value? (a) -2/3 (b) y (c) -1/6
b
Let x = 23 + -25.2. Let p = 2 + x. Which is the second biggest value? (a) 0.4 (b) p (c) -3
b
Let v = -2 + 7/4. Let n = 5 + -10. Let f = n + 3. What is the biggest value in f, -0.4, v?
v
Let o = 19 - 19.1. What is the third smallest value in o, -2, 1?
1
Suppose -3*i + y - 5 - 11 = 0, -4 = 3*i + 2*y. Let f = 1 - 0. What is the third biggest value in i, 3, f?
i
Let u = 49 + -48.8. Let z = 11 + -15. What is the second smallest value in z, -2/17, u?
-2/17
Suppose -5*a = -8*a - 6. Let o be 6/(-27)*3/a. Let v = 5 + -7. What is the second biggest value in v, 1, o?
o
Let g = 3 - 2.8. Which is the second biggest value? (a) g (b) -0.2 (c) 4
a
Suppose -4*d - 24 = -5*u + u, -3*u = -5*d - 24. Let x = -1 - -1.4. What is the third biggest value in x, u, 2/9?
2/9
Let w = 241 - 245. Let i = 5.7 - 6. Which is the biggest value? (a) -0.2 (b) w (c) i
a
Let u = -1.1 + -0.9. Let q = u - 0. Let m = -1 - -1. Which is the smallest value? (a) -4 (b) q (c) m
a
Suppose 4*x - 6 = -2*h + 18, 19 = -3*h + 5*x. What is the second smallest value in 0.2, h, 6?
h
Let w = 0 + -2. Let z be (-4 - -7) + 2 + 3. Let r be (-1)/(w/z*2). Which is the third biggest value? (a) 0.4 (b) r (c) -0.5
c
Let p be (8/6)/((-20)/12). Let r be 16/18 + -3*(-1)/(-3). What is the third smallest value in -5, r, p?
r
Let i = 16 - 16. Which is the second smallest value? (a) i (b) -0.5 (c) -2/7
c
Let s be 3 + 0 + (-549)/105. Let j = -1531 - -10734/7. Let o = s + j. What is the biggest value in -0.2, o, -0.5?
o
Let r = 3 + -3. Let a = 3/4 + -29/44. What is the second biggest value in r, -0.4, a?
r
Let f = -3 - -2. Suppose 12 = 5*h + 2. Let u be (-3)/h - (-2)/(-4). Which is the second smallest value? (a) f (b) u (c) 3/4
a
Let i = 6.9 + -3.01. Let z = 0.24 - 0.13. Let l = z + i. Which is the biggest value? (a) l (b) 5 (c) -0.4
b
Let h = -0.8 + -0.2. Which is the biggest value? (a) 2 (b) h (c) 5
c
Let d = 2284336/91 + -25102. Let g = d - 4/13. What is the third biggest value in 2/5, 0.5, g?
g
Let o be 2*2/(-4)*-1. Let t be o/(-6) + (-11)/6. Which is the second smallest value? (a) 0.7 (b) t (c) 5
a
Let x = -86 - -88. Which is the second biggest value? (a) -
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - 4*x)*(-3 - 5 + 0)*(790 + 1136 - 1453).
15136*x
Expand (2*v - 5*v + 2*v)*(-v**2 + 0*v + 0*v) + (-1 + 8*v**2 + 4 - 5*v**2)*(6*v + v + v).
25*v**3 + 24*v
Expand (u + u**3 - 2*u - 2*u)*(-2 + 2 + 1)*(361 + 38 - 60).
339*u**3 - 1017*u
Expand (1 - 1 + 1)*(-7*y**2 + 7*y**2 - y**4) + 3*y**4 - 6*y**4 + y**4 - 41*y + 5*y**4 - 12*y**4 + 5*y**4 + (-3*y**2 + 2*y**2 + 2*y**2)*(3 + 3*y**2 - 3).
-2*y**4 - 41*y
Expand (-3*v + 50*v**2 + 3*v)*(-44*v - 220*v + 68*v).
-9800*v**3
Expand (-2 + 2*l**3 + 2 + (2 - 3 - 1)*(19*l**3 + 171*l**3 + 115*l**3))*(-1 + 3*l + 1).
-1824*l**4
Expand (497*a**4 + 242*a**4 - 245*a**4 + (-3*a**3 - 2*a**4 + 3*a**3)*(1 - 1 - 1))*(a - 2*a + 2*a).
496*a**5
Expand (2 + 4 - 4)*(-v**3 + v**3 + 2*v**3) + 12548*v**3 - 1184*v**2 + 12309*v**3 + 1184*v**2.
24861*v**3
Expand (302*v**2 + 100*v**3 - 302*v**2)*(-23*v**2 + 3*v**2 + v**2 + (0*v - v + 2*v)*(-3*v + v + v) + v - v - 2*v**2).
-2200*v**5
Expand -2*y**4 + y**4 - y**4 + (-y + y - 2*y)*(2*y**3 + 3*y - 3*y) + 4*y**4 + 5*y**4 + y**4.
4*y**4
Expand (-2587 - 3486 - 2088 - b)*(2 - 1 - 2).
b + 8161
Expand (-3 - 1 + 8)*(-3*t - t + 5*t) + (6 + 5 - 2)*(22*t - 99*t - 15*t).
-824*t
Expand (-11 + 3 - 4)*(-17 - 18*h + 17 + (0 + 4 - 7 - 1 + 3 + 0 + 1 + 1 + 0 + 2 - 4 + 1 + (-6 + 4 + 0)*(1 - 2 + 3))*(h - h + h)).
264*h
Expand (215*d + 15*d + 56*d)*(-6 + 0 + 4 + 2 - 1 - 2 + (2 + 4 - 7)*(-2 + 0 + 3) + 348 + 305 - 701).
-14872*d
Expand 127 - 7*j**3 - 127 + (9*j + 2*j**2 - 9*j)*(0*j + 0*j - 6*j).
-19*j**3
Expand (0 + 2 - 1)*(g + 0 + 0) + 1161*g + 1143*g - 2190*g - 33.
115*g - 33
Expand (-1 + 1 + 2*w)*(0*w + 12 - w - w)*(0*w + 3*w - 5*w)*(7 - 6*w - 7 + 0*w - 4*w + 2*w + (-1 - 3 + 2)*(12*w - 24*w - 7*w) + w - 4*w + w - w + 4*w - 2*w).
232*w**4 - 1392*w**3
Expand (-235*m + 26918 - 26918 + 2*m - 2 + 2 - 3*m + 3*m + m + (m + 1 - 1)*(2 - 5 + 5) + 2*m - m + m + m - 4*m + m + 4 - 4 + 2*m + m - m - m)*(3*m + 2*m + 4*m).
-2061*m**2
Expand (50 + 284 + 2*o**2 - 54)*(2*o + 0*o - 5*o).
-6*o**3 - 840*o
Expand (-20 - 1030*p**3 + 15 + 1035*p**3)*(5*p - p**2 - 5*p + (4*p**2 - p**2 - 2*p**2)*(3 + 2 - 6) + 0*p**2 - 4*p**2 + 3*p**2).
-15*p**5 + 15*p**2
Expand (0*q + q - 2*q)*(-35 - 5101*q + 5108*q + 116).
-7*q**2 - 81*q
Expand 522721 - 522721 - 11245*t**3 + (-2 - 3 + 4)*(2*t**3 + 2 - 2).
-11247*t**3
Expand (0 - 2 + 0)*(-31*q + 175 - 175) + (-13*q - 153 + 153)*(3 + 2 - 2) + 2*q + q + 0*q.
26*q
Expand -4*x**4 - 15*x**4 - 7*x**4 + (6*x**2 + 6*x**3 - 6*x**2)*(x + 0 + 0).
-20*x**4
Expand (4*r - r + 8*r)*(-2*r**3 + 3*r**3 + 0*r**3) + (-9*r - 13 + 13)*(-3*r + 3 - 3)*(-r**2 - r**2 + r**2).
-16*r**4
Expand (-26*m - m - 27*m + 1 - m - 1 + (-7 + 3 + 2)*(3*m - m - 3*m))*(3*m**2 - 2 + 2).
-159*m**3
Expand -36*p**4 + 141*p**4 - 51*p**4 + (-p - p - 2*p)*(-2*p**3 + 2*p**3 + 2*p**3).
46*p**4
Expand -24*q**3 - 156*q - 149*q + 299*q + (-3*q + 3 - 3)*(3*q**2 - 2*q**2 - 3*q**2) + (-3*q + q + q)*(0*q**2 + 2*q**2 + 0*q**2).
-20*q**3 - 6*q
Expand (0 - 1 + 2)*(702 - 277 - 321)*(-18 - 8*n + 18).
-832*n
Expand (1 - 4 + 5)*(-4 + 3 + 2)*(0 + 2 - 1 + (-2 + 0 + 3)*(0 + 1 + 0) + 0 + 3 - 5 + 1 + 0 + 1 - 32 + 45 - 48)*(-2*v**2 + 1 - 1).
132*v**2
Expand -129*g**2 - 1227 + 1227 + (0 - 1 - 1)*((-4 - 6 + 5)*(-1 - 1 + 1) + 3 + 1 - 3)*(5 - 1 - 3*g - 2)*(g + 2*g - 2*g).
-93*g**2 - 24*g
Expand 3*w**4 + w**4 + 10*w**4 + (61*w**2 + 72*w**2 + 128*w**2)*(2*w**2 + 3*w**2 - 3*w**2).
536*w**4
Expand (0*c + c + c)*(-16*c + 44 + 62 - 85).
-32*c**2 + 42*c
Expand 35*p**5 - 44*p + 44*p + (5*p**3 + 0*p**3 + 2*p**3)*(2*p**2 - 2*p**2 + 3*p**2).
56*p**5
Expand -11*j**2 - 154 + 154 - 4*j**2 - 1 + 0 + 6*j**2 + (-4*j - 4*j + 3*j)*(3*j - j + 0*j) + (-3*j - 2*j + 4*j)*(0 + 0 - j).
-18*j**2 - 1
Expand (a + 1 - 1)*(-2*a**4 + a**4 + 0*a**4) + 0*a**5 - 2*a**5 + 0*a**5 + a**5 - a**5 + 2*a**5 + (101*a**3 - 264*a**3 + 114*a**3)*(-5*a**2 + 16*a - 16*a).
244*a**5
Expand (-2*d**3 - 4*d**3 + 4*d**3)*(-3*d**2 + 4*d**2 + d**2) - 3*d**5 - 2*d**5 + 2*d**5 - 3025*d**5 + 1142*d**5 + 790*d**5.
-1100*d**5
Expand (-198*f**2 - 176*f**2 - 193*f**2)*(-4*f + 2*f + 4*f) + (-2 + 9 - 2)*(-f**2 - 2*f**3 + f**2).
-1144*f**3
Expand (22186 - 11980 - 16005)*(-2*b**5 + b**5 - b**5) - b**5 + b**5 + b**5.
11599*b**5
Expand (1047 + 860 + 180 + 2759 + 339)*(3*r - 4 + 4).
15555*r
Expand (-9*i - 35*i - 12*i)*(2 - 7 - 9).
784*i
Expand (4*t - 2*t - 2 - 3*t)*(-4*t + 10*t - 47*t).
41*t**2 + 82*t
Expand (-i + 3*i**2 - 2*i**2 + 4 + 2*i)*(449 - 449 + 170*i) + 40*i**2 - 3*i**3 - 40*i**2.
167*i**3 + 170*i**2 + 680*i
Expand (673*c**4 - 1329*c**4 + 662*c**4 - 233)*(11*c + 6*c - 7*c).
60*c**5 - 2330*c
Expand (4 + 6 + 2)*(51*i + 3 - 31*i - 34*i).
-168*i + 36
Expand (l**2 - l**2 + 2*l**2)*(-63*l**3 + 882 - 882) + (-2*l**4 - 1 + 1)*(-l - 10*l - 18*l).
-68*l**5
Expand (612 - 141 + 283)*(0 + 4 - 3)*(-2*m - 8*m - 3*m - 2*m).
-11310*m
Expand (-90*m + 91*m + 253*m)*(m + 63 - 63).
254*m**2
Expand 18*r**4 - 28*r**4 + 19*r**4 + (-2 + r + 2)*(-3 + 0 + 1)*(-2351*r**2 + 2351*r**2 - 98*r**3).
205*r**4
Expand -53*w**3 - 17*w**3 + 17*w**3 - 50*w**3 + (-2*w**2 + 0 + 0)*(-4 + 79*w + 4).
-261*w**3
Expand ((-3*h + 2*h + 2*h)*(2 + h - 2) + (h - 3*h + h)*(0 + 0 - h))*(-374*h + 36*h - 493*h).
-1662*h**3
Expand (w**2 - 2*w + 2*w)*((-11 - 1820*w + 15 - 526*w)*(2*w - 1 + 1) - 3*w**2 + 5*w**2 + w**2).
-4689*w**4 + 8*w**3
Expand (5*r**3 - 6*r**3 - 6*r**3)*(r + 5*r - r) + 1164*r**2 + 31 - r**4 - 1164*r**2.
-36*r**4 + 31
Expand 3*c**3 - 13*c**3 + 0*c**3 + (4*c - 4*c - c**2 + (-2*c - 1 + 1)*(c + 1 - 1))*(-23 + 59*c - 129*c + 24) + c**3 - c**3 + c**3.
201*c**3 - 3*c**2
Expand -1 + 3*k + 1 + (70*k - 22*k + 37*k)*(-2 + 0 - 1) + 4*k + 0*k - 2*k.
-250*k
Expand p**2 - 3*p**2 + p**2 + (2 + 1 + 0)*(5*p**2 - 2*p**2 - 4*p**2) - 403*p**2 + 173*p**2 + 166*p**2.
-68*p**2
Expand (3 + c + 6*c - 2*c)*(2*c**2 + 5*c**3 - 2*c**2)*(4 - 26 - 25).
-1175*c**4 - 705*c**3
Expand (x + 3 - 3)*(1 + 0 + 0) + 1265*x + 1502*x + 45*x + (5*x - 4*x - 3*x)*(0 - 4 + 2) - 4*x + x + x - 2*x + 3*x + x.
2817*x
Expand (2 + 1 - 1)*(-66*f - 17*f + 10*f) - 108*f + 257*f - 109*f.
-106*f
Expand (-4 + 2 + 3 + (-1 + 6 - 1)*(-5 + 0 + 2))*((55 - 131 - 90)*(3*u**2 - 2*u**3 - 3*u**2) + 5*u**3 - 3*u**3 - 4*u**3).
-3630*u**3
Expand -g - 2*g - g + (7*g + 0*g - 3*g)*(0 - 1 - 2) + (-3 + 6 - 2)*(0 - g + 0) + (2 - 2 - 2*g)*(4 + 0 - 2).
-21*g
Expand (1 + 0 - 61*z**2 + 16 - 15)*(2*z + 2 - 2 + (3 - 4 + 3)*(z + 2 - 2) - 7*z - 2*z - 6*z).
671*z**3 - 22*z
Expand (-3 + 3 + 2*o)*(1 - 2 + 3)*(-9*o + 10*o - 16*o)*(-408 + 408 - 81*o).
4860*o**3
Expand (m**2 - m**2 + 2*m**4)*(3*m + m - 2*m)*(6140 - 9597 - 2333).
-23160*m**5
Expand (-p + 4*p**2 + 0*p + 3*p)*(355 - 361 - 529)*(p**2 + 1 - 1).
-2140*p**4 - 1070*p**3
Expand (-30*m**4 - 1684*m + 1684*m + (-2*m**3 + m**3 + 2*m**3)*(5*m + 8*m + 10*m))*(0 + 0 - m).
7*m**5
Expand (-1 + 1 + 2)*(-4*n**2 + 2*n**2 + 4*n**2) + 2*n**2 + n**2 - 2*n**2 + (0 + 0 - 2*n)*(100435*n + 88722*n - 197293*n).
16277*n**2
Expand (2 - 2 - 2)*(-y + 2*y + y)*(3585*y + 529*y + 6817*y).
-43724*y**2
Expand (-2*i**2 + 7*i**2 - 3*i**2)*(0*i + 4*i - 2*i) + (-9*i**2 - 4*i**2 + 10*i**2)*(-1235*i - 1502*i + 1071*i).
5002*i**3
Expand (u + 2 - 2)*(-u**3 + 3*u**3 - 5*u**3)*(-4 + 1 + 1) + (0*u + 4*u - 2*u)*(480 - 6*u**3 - 480).
-6*u**4
Expand 322*t + 96*t - 5*t + (-3 - 3 + 4)*(1 - 1 + 2*t) - 3 + t + 3 + 2 + 2*t - 2 + 3*t + t - 3*t + (-2 + 1 + 0)*(-t - 2 + 2).
414*t
Expand (-16*t**4 + 2*t**4 + 14*t - 26*t**4 - 14*t)*(-4*t + 3*t - 7*t).
320*t**5
Expand 26*w**2 - 46*w**2 + 30*w**2 - 2*w + (2*w + 2*w - 5*w)*(-2*w + 4*w + 0*w).
8*w**2 - 2*w
Expand (2*w**4 - 4*w**4 + 4*w**4 + 3*w**3 - 2*w**4 - 3*w**3 + (6*w - 2*w - 5*w)*(2*w**3 - 7*w**3 + 2*w**3))*(2*w + 2*w - 5*w + (2 + 3 - 3)*(14*w + 7*w + 20*w)).
243*w**5
Expand (48*z - 285*z + 62*z)*(-2*z - 7*z**2 - 4*z**4 + 7*z**2 - 2*z**3).
700*z**5 + 350*z**4 + 350*z**2
Expand 8*h**4 + 5*h**4 - h**4 + (13*h**3 + 19*h**3 + 2*h**3)*(-h - 2*h + h).
-56*h**4
Expand (2*j**2 - 4*j**2 + 3*j**2)*(-3*j**2 + 4*j**2 + j**2)*(-12 + 12 - 6)*(0 + 2 + 0).
-24*j**4
Expand (2 - 3 + 3)*(330*n + 27*n**2 - 114*n - 154*n).
54*n**2 + 124*n
Expand 2*s + 0 + 0 + (s + 2*s - s)*(-3 + 6 - 1) + 5*s - 2 + 2 + 7*s - 20*s - 43*s - 28*s.
-73*s
Expand j + 4 - 4 + (j + 0 + 0)*(1 + 0 + 0) - 170*j - 80*j - 119*j.
-367*j
Expand (-b**3 + 7*b**3 - 2*b**3)*(3500 + 87*b - 69*b - 3451).
72*b**4 + 196*b**3
Expand 2*v**3 - 2*v**3 - 3*v**3 + (
|
{
"pile_set_name": "DM Mathematics"
}
|
53545 and 75?
5
Calculate the greatest common factor of 180 and 19540.
20
What is the greatest common divisor of 312 and 15717?
39
What is the highest common divisor of 828 and 121509?
207
What is the greatest common factor of 811 and 67?
1
Calculate the highest common divisor of 63 and 41937.
21
What is the highest common divisor of 36 and 10696788?
36
Calculate the highest common divisor of 192 and 351808.
64
What is the greatest common divisor of 96 and 973488?
48
Calculate the highest common divisor of 160 and 5272.
8
Calculate the greatest common divisor of 32700 and 25.
25
Calculate the highest common divisor of 457453 and 2274.
379
Calculate the highest common factor of 38 and 199538.
38
Calculate the highest common factor of 4021875 and 2574.
1287
Calculate the greatest common divisor of 617785 and 190.
95
Calculate the greatest common factor of 461353 and 407.
37
Calculate the highest common factor of 172927 and 268.
67
What is the greatest common factor of 72228 and 156?
156
Calculate the highest common factor of 1184 and 11026.
74
Calculate the greatest common factor of 1768 and 1828996.
884
Calculate the highest common divisor of 247 and 19279.
13
What is the greatest common divisor of 8584 and 406?
58
What is the greatest common factor of 20845 and 770?
55
What is the highest common divisor of 22950 and 4335?
255
Calculate the highest common factor of 1260 and 1159074.
126
What is the highest common divisor of 706 and 478?
2
What is the greatest common divisor of 533 and 70151?
41
What is the greatest common factor of 80125 and 2000?
125
What is the greatest common factor of 23796 and 333?
9
What is the highest common divisor of 20175 and 1905?
15
Calculate the greatest common divisor of 366 and 610122.
366
What is the highest common factor of 2600 and 147550?
650
What is the greatest common factor of 6634 and 1178?
62
What is the greatest common factor of 376 and 4600?
8
What is the greatest common divisor of 2425 and 154521?
97
What is the greatest common factor of 2130 and 2314458?
426
What is the greatest common divisor of 44 and 281842?
22
Calculate the greatest common factor of 488989 and 36522.
2029
What is the highest common divisor of 5965 and 175?
5
Calculate the highest common divisor of 13664 and 5551.
427
Calculate the greatest common factor of 7258 and 15471.
191
What is the greatest common divisor of 1747469 and 10802?
491
What is the highest common factor of 18774 and 45?
9
Calculate the highest common factor of 44 and 1075019.
11
What is the greatest common factor of 22557 and 5253?
309
Calculate the highest common factor of 103 and 999924.
103
Calculate the highest common divisor of 162 and 22122.
18
What is the greatest common divisor of 19206 and 970?
194
What is the highest common factor of 989934 and 8745?
1749
Calculate the greatest common divisor of 46971 and 15912.
153
Calculate the greatest common divisor of 2 and 108202.
2
Calculate the greatest common factor of 27297 and 243.
81
Calculate the greatest common divisor of 1736 and 15344.
56
What is the greatest common divisor of 60 and 36950?
10
Calculate the highest common factor of 3886 and 10440.
58
What is the highest common divisor of 558 and 2610?
18
What is the highest common factor of 25400 and 700?
100
Calculate the greatest common factor of 125 and 20275.
25
Calculate the highest common factor of 140232 and 3096.
24
Calculate the greatest common factor of 125 and 655.
5
What is the highest common divisor of 38075 and 25?
25
Calculate the greatest common factor of 3575 and 16280.
55
What is the highest common divisor of 8874859 and 7?
7
What is the greatest common factor of 87 and 28681?
29
Calculate the highest common divisor of 2436 and 8652.
84
Calculate the greatest common divisor of 30 and 24894.
6
Calculate the greatest common factor of 46412 and 3444.
164
Calculate the greatest common divisor of 77 and 536437.
11
Calculate the highest common factor of 149220 and 36.
36
What is the greatest common factor of 6 and 618579?
3
Calculate the greatest common factor of 2037 and 4599.
21
Calculate the highest common divisor of 876 and 114.
6
Calculate the highest common factor of 10024 and 760571.
1253
What is the greatest common factor of 2319 and 366?
3
Calculate the greatest common divisor of 2793536 and 8.
8
What is the highest common factor of 84 and 19299?
21
What is the greatest common divisor of 21630 and 30660?
210
What is the greatest common divisor of 13362 and 3570?
102
What is the highest common factor of 1266 and 249613?
211
Calculate the highest common factor of 5424 and 720.
48
What is the greatest common divisor of 631371 and 156?
39
Calculate the highest common divisor of 2350 and 16.
2
What is the highest common factor of 62 and 10354?
62
Calculate the highest common divisor of 17 and 14782231.
17
What is the highest common divisor of 26 and 853814?
26
What is the greatest common divisor of 162940 and 65?
5
What is the greatest common factor of 24196 and 3082?
46
Calculate the highest common factor of 91458 and 36.
18
Calculate the highest common factor of 2197 and 156.
13
Calculate the greatest common divisor of 3150 and 1110.
30
What is the highest common factor of 89256 and 48?
24
Calculate the highest common divisor of 2140380 and 297.
99
What is the highest common factor of 957 and 17754?
33
Calculate the greatest common factor of 452 and 1776134.
226
Calculate the highest common divisor of 26 and 6746.
2
Calculate the greatest common divisor of 5643 and 14256.
297
Calculate the greatest common factor of 1480 and 639545.
185
Calculate the greatest common divisor of 7982 and 3354.
26
Calculate the greatest common divisor of 1864532 and 3140.
628
Calculate the greatest common factor of 159 and 27.
3
Calculate the greatest common factor of 543 and 260097.
543
What is the greatest common divisor of 2889 and 249?
3
What is the highest common divisor of 2 and 20960?
2
What is the highest common divisor of 5251 and 1888?
59
What is the greatest common factor of 59 and 956685?
59
What is the highest common divisor of 1819 and 856?
107
What is the greatest common factor of 96 and 170168?
8
What is the greatest common factor of 1342 and 1056?
22
What is the highest common factor of 1660 and 77771?
83
Calculate the highest common divisor of 239850 and 2250.
450
What is the greatest common divisor of 5312 and 128?
64
What is the highest common divisor of 1584 and 4086?
18
What is the highest common factor of 21441 and 1281?
21
Calculate the highest common factor of 22689 and 648.
9
What is the highest common factor of 73458 and 990?
198
Calculate the greatest common factor of 12079 and 235.
47
Calculate the highest common divisor of 8321 and 1060.
53
What is the greatest common divisor of 3 and 933720?
3
What is the highest common divisor of 4871216 and 112?
112
Calculate the highest common factor of 81710 and 420.
10
Calculate the highest common divisor of 126 and 8163.
9
What is the highest common divisor of 7104 and 47280?
48
What is the highest common factor of 2598505 and 1365?
455
Calculate the greatest common factor of 20 and 48820.
20
Calculate the highest common factor of 60513 and 5589.
69
What is the greatest common factor of 9671168 and 13?
13
Calculate the highest common divisor of 6941 and 281426.
631
Calculate the greatest common factor of 4364 and 12.
4
Calculate the greatest common factor of 15 and 7283895.
15
What is the greatest common divisor of 14 and 106512?
14
What is the highest common factor of 3900 and 18350?
50
What is the greatest common divisor of 173 and 216077?
173
Calculate the highest common factor of 36839 and 22.
11
What is the highest common divisor of 27468 and 2016?
252
What is the highest common factor of 4953 and 166878?
381
Calculate the greatest common factor of 81 and 6144.
3
What is the highest common divisor of 13067189 and 1171?
1171
Calculate the greatest common divisor of 81 and 21195.
27
What is the highest common divisor of 54 and 1087641?
27
What is the greatest common factor of 130 and 436930?
130
What is the highest common divisor of 15615 and 79463?
347
Calculate the greatest common factor of 4901 and 1859.
169
Calculate the greatest common divisor of 730 and 352882.
146
Calcula
|
{
"pile_set_name": "DM Mathematics"
}
|
et x be r(1). What is the third smallest value in 5, -2, x?
5
Let d = 0 + 0.13. Let l = d + -0.43. Let v = 0 - 1. Which is the second smallest value? (a) -2/7 (b) v (c) l
c
Let s = -473 + 477. Let l = -0.7 + 0.4. What is the third smallest value in l, s, -3?
s
Let i be -48*(-2)/45 + -2. Which is the biggest value? (a) 3 (b) 1/2 (c) i
a
Let b = -0.6 - -6. Let q = b + -5. Let u = q + -0.2. What is the smallest value in -0.1, u, -0.3?
-0.3
Suppose 5*o + 8 = -v, -8 = -v - 2*o + 5*o. What is the fourth smallest value in 2/3, v, 0.01, -4?
v
Let k be 2/(-15)*9/1. Let y = 52 - 56. Which is the smallest value? (a) y (b) k (c) 4
a
Let l = -10.8 - -11.6. What is the fourth biggest value in l, -1, -1/3, 1?
-1
Let p = -41/172 - 1/86. Which is the biggest value? (a) -4 (b) 5 (c) p (d) 0
b
Let l = -57.8 + 57. Which is the biggest value? (a) -0.3 (b) 4 (c) -4 (d) l
b
Let t be (4/(-10))/((-4)/(-6)). What is the third biggest value in 3, -1/6, t?
t
Suppose 3*d + 2*p = -2, 0 = -d - 0*d - 5*p - 5. What is the third smallest value in 3, -3, d?
3
Let a = 0 - 0. Suppose -3*s - m = -18, 4*s = -3*m - m + 32. What is the biggest value in a, s, -0.02?
s
Let p = -2/61 + 67/183. Let g = 2 + 0.1. Let j = -2.4 + g. What is the second biggest value in 1, p, j?
p
Let w = -65 + 67. Which is the fourth biggest value? (a) -4 (b) w (c) 1/3 (d) 0.5
a
Let c = -5 + 41/8. Let d = -8 + 8.2. What is the smallest value in -0.3, c, d?
-0.3
Let m(f) = f**2 - 2. Let v be m(0). Let i = -0.8 - -0.7. Which is the third smallest value? (a) i (b) v (c) -1/5
a
Suppose 0 = -3*j + j + 10. Let i be 26/40 + (-1)/4. Which is the biggest value? (a) -0.4 (b) i (c) j
c
Let z = 4 - 4. Let c be 10/(-6)*(-1)/5. Suppose 14 = -2*g - 5*s, 4*g - 8 = 2*s + 12. What is the biggest value in g, z, c?
g
Let k = -0.17 + -1.83. What is the third biggest value in -4, k, 3/5, -0.4?
k
Let l = 23 + -28. Which is the second biggest value? (a) l (b) 1/3 (c) 0
c
Let m = -3.9 + -0.1. Let u = 2 + 2. Let a = u + -7. What is the second smallest value in m, 1/4, a?
a
Let j = 9 + -13. Which is the third smallest value? (a) 0.3 (b) 2/3 (c) j (d) 0.5
d
Let z = -2 - -2.4. Suppose 13 = d + 3*q, 0 = 3*q - 2 - 7. Let r = 4 + -3.8. Which is the second smallest value? (a) d (b) r (c) z
c
Let z = 12 - 34/3. Let v = -3 + 2.9. What is the second biggest value in v, z, -0.2?
v
Let f be (3 - 1) + (-1)/1. Let t = 0 - f. Let h be (-63)/12 + t/(-4). Which is the smallest value? (a) h (b) -1/3 (c) 0.5
a
Let f(g) = g + 4. Let p be f(9). Which is the third smallest value? (a) p (b) 1/8 (c) 5
a
Let p = -4 - -3.8. Let k = -5 + 3. Which is the second smallest value? (a) 1 (b) k (c) p
c
Let p = -68.1 - -90. Let t = p - 21. Let r = -0.6 + t. Which is the smallest value? (a) r (b) -2/5 (c) 1/4
b
Let k = -503/3 + 169. Which is the second smallest value? (a) -0.4 (b) k (c) 2/3
c
Let g = 2 - 0.8. Let i = g - -3.8. Let p = -11 + 7. What is the second biggest value in -5, i, p?
p
Let i = 19 - 23. Let x = -9 + 6. What is the second smallest value in i, 2/9, x?
x
Let y = 0.36 - 0.06. Let b = y + -0.3. Let w = 297/5 - 60. What is the second biggest value in w, -1, b?
w
Let q = -1 + 0.7. Let x = 0.27 + 3.13. Let f = 0.4 - x. Which is the second biggest value? (a) -1/2 (b) q (c) f
a
Let h = -33 - -31. Let j = -595/4 + 148. What is the third biggest value in j, -1, h?
h
Let l = 0.061 + -0.261. Suppose 2*y - 6 = 5*v, 0 = -2*v + 4*v - 3*y + 9. What is the smallest value in l, 2, v?
l
Let y = -6 - -5.5. Let u = 0.3 + y. What is the biggest value in u, 0.1, 2/11?
2/11
Let s(z) = 2*z + 24. Let j(t) = -t - 12. Let r(h) = 9*j(h) + 4*s(h). Let o be r(-14). Let u be (1 - 22/18)*3. Which is the biggest value? (a) 4 (b) u (c) o
a
Let n(j) = j**3 - 4*j**2 - 4*j - 5. Let s be n(5). Let d = 15.3 + -15. What is the third biggest value in d, 1, s?
s
Let n = -15 + 14.8. Suppose -2*z + r + 7 = 4*r, -2*r + 4 = 2*z. Which is the third biggest value? (a) -2 (b) z (c) n
a
Let x = -4 + 1. Let u be 4/(-14) + 696/(-14). Let s be 4/(-10)*u/110. Which is the third biggest value? (a) x (b) s (c) 0.4
a
Let k be ((-10)/(-195))/(1/3). What is the smallest value in k, 0.3, 5/6?
k
Let k = 0.537 - 0.037. Let d be ((-32)/(-6))/(-4)*3. What is the smallest value in k, -0.2, d?
d
Let y = -4656 + 23186/5. Let p = 19 + y. What is the third biggest value in 0.03, p, -4?
-4
Let b = -343 + 2397/7. What is the third smallest value in -5, b, 5?
5
Let c = 0.09 - 2.09. What is the third biggest value in -3, 2/5, c?
-3
Let u be ((-6)/4)/((-15)/20). Let i = u - 4. Which is the second biggest value? (a) -2/15 (b) 0.4 (c) i
a
Let w = -0.1 - -0.1. Let n = 224 - 673/3. What is the third biggest value in n, w, 1/11?
n
Let y(j) = -4*j**3 - 2*j - 1. Let t be y(-1). Let f be (-2)/(-2*t)*2. Which is the biggest value? (a) 1 (b) f (c) 0.3
a
Let l = 0.33 - -0.17. Let i = -11 - -15. Which is the second biggest value? (a) l (b) -0.5 (c) i
a
Let t(x) = -4*x + 6. Suppose n = 5 + 1. Let o be t(n). Let m be 2/(-3)*o/(-16). Which is the second smallest value? (a) m (b) 1 (c) 1/2
c
Let f be (1/(-2))/((-56)/(-16)). What is the third biggest value in 4, f, -1, -4?
-1
Suppose -2*t - 1 = -2*m + 7, 0 = t. Which is the second smallest value? (a) m (b) 0.4 (c) 2
c
Let i = -16 - -15. Which is the smallest value? (a) 3 (b) i (c) 5 (d) 1/4
b
Let y be -3*((-2)/(-8))/(18/(-24)). Let g be (3/6)/((-1)/10). Which is the second biggest value? (a) g (b) 3 (c) y
c
Let u = -8 + 10. Let q = u - -3. Which is the third biggest value? (a) -2/11 (b) q (c) -3/7
c
Let m = -1.7 + -0.3. Which is the second biggest value? (a) m (b) -1/3 (c) -5
a
Let n = -0.2 + 0.3. Suppose -l - 4*l - 24 = 4*t, 2*t - 5*l + 12 = 0. Let u be t*(12/9 - 1). What is the second biggest value in n, u, -0.1?
-0.1
Let u = -3.5 + 3. Let f = -2.9 - -3.03. Let v = f - 5.13. Which is the third biggest value? (a) u (b) 0.5 (c) v
c
Let u = 19.6 - 20. Let g = -239/5 + 5507/115. What is the second smallest value in u, -4, g?
u
Let k = 0.7 - 6.7. Let u = 3 + k. Let p = -0.4 + 0.2. Which is the second smallest value? (a) p (b) 0.5 (c) u
a
Let v = -0.8 + 0.8. Which is the second smallest value? (a) -2 (b) -1/3 (c) v
b
Suppose 1 - 7 = -3*x. Let r be x/(-60)*-3*1. Which is the third smallest value? (a) 0.5 (b) r (c) 1
c
Let d(f) = f - 4. Let j be d(9). Suppose -3*s = j*h - 9, 3*s = 3*h - 2 - 13. Let y = 0.1 - -0.1. Which is the biggest value? (a) -5 (b) s (c) y
c
Let j = -0.033 + -0.967. Which is the third smallest value? (a) j (b) -0.4 (c) -0.3 (d) 0
c
Let g = -52 - -154/3. Let k be ((-3)/14)/((39/(-2))/13). Let c = 1.3 - 0.3. What is the second biggest value in g, k, c?
k
Suppose 8 = -3*x - 4. Let k be ((-14)/(-24))/(x/(-32)). Let q = k + -44/9. Which is the third smallest value? (a) q (b) 2 (c) -4/9
b
Let o = -11 - -13. Suppose -v + 2*v - 2 = 0. Suppose v*q - 3*q + 5 = 0. Which is the smallest value? (a) q (b) -1/2 (c) o
b
Let r be 8 + -4 - (-7)/(-2). Which is the smallest value? (a) 1/7 (b) 3/7 (c) r
a
Let z = 27.9 + -26. What is the third smallest value in 0.2, z, -1?
z
Let m = -49303/6 + 8177. Let g = 40 + m. Which is the third smallest value? (a) -3 (b) 5 (c) g
b
Let i be 5514/(-24)*2/2497. Let l = 1/454 + i. What is the second smallest value in -2, -2/13, l?
l
Let d(p) = -p + 7. Let x be d(7). Suppose 3*f + f = 2*v + 2, -f = x. Which is the second biggest value? (a) v (b) -1/6 (c) 3
b
Let p = -0.6 + 0.1. Suppose 4*d - 4*l - 120 = 0, 2*d = -4*l + 19 + 11. Suppose 5*i + d = -0*i. Which is the second smallest value? (a) i (b) -2/11 (c) p
c
Let d = -0.07 + 0.15. Let x = 0.22 + d. Which is the biggest value? (a) x (b) -0.4 (c) 4
c
Let a(z) = -2*z**2 + z + 19. Let o be a(4). What is the third biggest value in -3/5, -0.1, o?
o
Let m be (4/(-48))/(2/(-6)). Let v = 0.3 - 0.1. What is the third biggest value in v, m, -0.2?
-0.2
Let d be 1*2*(-29)/6. Suppose 3*t + 2*t + 4*m + 38 = 0, -2*t = 5*m + 5. Let o = t - d. Which is the smallest value? (a) o (b) -1 (c) -3
c
Let k = 12 - 6. Let u = -5 + k. Let g be 2/3 + -2 + 1. What is the second smallest value in 2/23, u, g?
2/23
Let q(m) = -m**3 - 6*m**2 - 5. Let r be q(-5). Let y be 10/3*3/4*-2. Let t be (y/(-50))/((-8)/
|
{
"pile_set_name": "DM Mathematics"
}
|
mainder when 84 is divided by -22 + 20 + (-15)/(-3)?
0
Suppose 5*s - 34 = 76. Let m = 28 - s. Calculate the remainder when 31 is divided by m.
1
Let s(m) = -23*m - 60. Let v(t) = -t**3 + 6*t**2 + t - 4. Let o be (5/4)/((-2)/(-8)). What is the remainder when v(o) is divided by s(-3)?
8
Let n = 190 - 176. What is the remainder when 35 is divided by n?
7
Let l = 10 - -19. Suppose 4*p = -3*p + 294. Let g = -25 + p. What is the remainder when l is divided by g?
12
Calculate the remainder when 188 is divided by 39 + (-88)/(48/6).
20
Let k(f) = -f**2 - 8*f - 4. Let v = 10 + -10. Suppose -n = -v*n - 41. What is the remainder when n is divided by k(-5)?
8
Let z = -303 - -397. What is the remainder when z is divided by 32?
30
Calculate the remainder when 88 is divided by 8/12*-9*62/(-12).
26
Let u(m) = -m**3 - 3*m**2 + 12*m + 4. Let l be u(-6). Suppose -2*i + y = -l, -3*i = -i - 4*y - 34. What is the remainder when i is divided by 11?
10
Let j be 53/(1 - (4 + -2)). Let w = j + 84. Let l = 22 - 5. Calculate the remainder when w is divided by l.
14
Suppose -925 + 3271 = 46*y. What is the remainder when 172 is divided by y?
19
Suppose 3*u = -0*u - 69. Suppose 12 = 3*l - 9. What is the remainder when (-4)/14 - u/l is divided by 3?
0
Suppose -25*l + 20*l + 60 = -5*j, 3*l + 5*j - 44 = 0. What is the remainder when 24 is divided by l?
11
Let m be 14/(((-2)/(-24))/((-1)/(-2))). Let j = -74 + m. Calculate the remainder when j is divided by 6.
4
Let r = -22 - -28. What is the remainder when r is divided by (-7 - 306/(-42))*7?
0
Suppose 3*u = -50 + 236. Calculate the remainder when u is divided by 18.
8
Suppose -35 = -w - 24. Calculate the remainder when (4 - 1)/((-9)/(-150)) is divided by w.
6
Let q(t) = -t**2 + 6*t - 4. Let o be q(3). Suppose 297 + 8 = o*k. Calculate the remainder when k is divided by 22.
17
Let l = -16 + 45. What is the remainder when l is divided by (-3 + 1)*45/(-6)?
14
Suppose 0 = -39*f + 52*f - 780. What is the remainder when 136 is divided by f?
16
Suppose 0 = -0*s + s - 20. Let o be (-1)/(1 + s/(-16)). What is the remainder when 852/16 + (-1)/o is divided by 14?
11
Calculate the remainder when (-3)/((240/(-536))/10) is divided by 5.
2
Let t(m) = 1073*m + 2*m**2 - m**2 - 1066*m + 10. Let p be -2 - (2 - (2 + -9)). What is the remainder when t(p) is divided by 19?
16
Suppose 0*m - 4*m = -16. Suppose 0 = 3*r + m*b - 56, -3*b = 2*r - r - 22. Calculate the remainder when 46 is divided by r.
14
Let x = 67 - 63. Suppose -m + 45 = 4*s - 22, 3*s = x*m + 36. What is the remainder when s is divided by 4?
0
Let n(o) = 2*o**3 - 21*o**2 + 20*o - 7. Let q = 57 + -47. What is the remainder when n(q) is divided by 16?
13
Suppose 5*b - 15 = 0, 0*b - 3*b = 2*o - 35. What is the remainder when 50 is divided by o?
11
Suppose 6 = h - 3*h + 2*t, -h + 4*t = 12. Let b(l) = l**3 - 2*l**2 - l + 4. What is the remainder when 19 is divided by b(h)?
3
Let x = 21 - 41. Let y = x - 12. Let w = 46 + y. What is the remainder when 54 is divided by w?
12
Let a = -18 + 24. Calculate the remainder when (-3)/a - 231/(-6) is divided by 13.
12
Suppose -4*k = -5 - 39. Let v(d) = d**3 + 26*d**2 - 32*d - 83. Calculate the remainder when v(-27) is divided by k.
8
Let g(q) = -8*q**2 - 20*q - 5. Let x(o) = -8*o**2 - 21*o - 5. Let h(s) = 6*g(s) - 7*x(s). What is the remainder when 146 is divided by h(-4)?
21
Let i(b) = b**3 - b**2 + b - 2. Let c = 29 + -41. Calculate the remainder when c/8*148/(-3) is divided by i(3).
17
What is the remainder when 15 is divided by 1/4*8 - -6?
7
Suppose 9*n + 285 + 480 = 0. Let s = n - -102. Calculate the remainder when 134 is divided by s.
15
Let k(t) = 4*t - 83. Calculate the remainder when 57 is divided by k(25).
6
Let n(k) = -2*k - 8. Let o be n(-5). Let x = o - -39. What is the remainder when x is divided by 21?
20
Let w(g) = -7*g + 74. Let j = 97 + -65. What is the remainder when w(2) is divided by j?
28
Suppose 3*x = -a + 110 + 6, -3*a = -6. What is the remainder when x is divided by 6?
2
Suppose 0 = 5*c - 10, -f - 4*c = c - 24. Suppose 0*l - l = -10. Suppose 0 = -2*j - 0*j + l. Calculate the remainder when f is divided by j.
4
Suppose -u - 2*r = -20, -2*r + 0*r = 2*u - 44. What is the remainder when 261 is divided by u?
21
Let y(w) = 2*w**3 + 2*w**2 - 2*w + 1. Suppose -b = 0, -b + 22 = 2*p - 48. Let z = p + -32. What is the remainder when y(z) is divided by 14?
11
Let j(x) = -324*x + 684. Let l = -6 + 26. Calculate the remainder when j(2) is divided by l.
16
Let m = 6 - 3. Suppose -34 = -m*j + f, 2*j + 0*f + 3*f = 41. What is the remainder when -7*6/(-126)*69 is divided by j?
10
What is the remainder when 20 is divided by (-3)/((3/6)/((-3)/6))?
2
Suppose 2*i = -13*i + 285. What is the remainder when i is divided by 11?
8
Let d = 2479 + -2434. What is the remainder when 626 is divided by d?
41
Let y(h) = 3*h**3 - 3*h**2 + h. What is the remainder when 1439 is divided by y(2)?
11
Let j(y) = -y**2 + y + 5. Let c = -8 - -48. Suppose 3*l + 2*o - c = 4*o, o - 1 = 0. Calculate the remainder when l is divided by j(0).
4
Let p be 2/(-3)*(-81)/18. Suppose 3*y + 46 = -2*l, -4*l + 4*y = -p*l + 12. Let j = l + 29. Calculate the remainder when j is divided by 5.
4
Suppose 81 = 3*h - 5*y - 61, y = -2*h + 73. Calculate the remainder when 540 is divided by h.
33
Let n(k) = -k**3 + 7*k**2 - 4*k - 2. Let f be n(6). Let d be (-2)/(-1)*(-25)/f. Calculate the remainder when 22 is divided by 0 - (-39)/(-2 - d).
9
Let r = 35 - 18. Let c(i) = 7*i**2 - i + 1. Let z be c(1). Let w(d) = 7*d - 22. What is the remainder when w(z) is divided by r?
10
Suppose 4*k - 134 - 50 = 0. Let g = k + -24. Let i = 23 - g. Calculate the remainder when 3 is divided by i.
0
Suppose 4*z - 24 = 4. Let c = 23 - 4. What is the remainder when c is divided by z?
5
Suppose 15 - 2 = 3*z - h, 0 = 4*z - 5*h - 32. Suppose 0 = -z*q + 2*q + 30. Suppose 6*m = 9*m - 33. Calculate the remainder when q is divided by m.
8
Suppose 110 = 8*q - 2. Calculate the remainder when 54 is divided by q.
12
Let f = -23 - -29. Let c(d) = f*d - 6*d - d. Calculate the remainder when 71 is divided by c(-18).
17
Let o = 2702 - 2642. Calculate the remainder when 249 is divided by o.
9
Let t = 53 - 55. Let r = 22 - 4. Calculate the remainder when -4*(-1)/t*33/(-2) is divided by r.
15
Let f = -372 + 417. Calculate the remainder when f is divided by 12.
9
Calculate the remainder when 181 is divided by (-277)/(-5) + 38/(-95).
16
Let d(m) = -123*m + 962. Calculate the remainder when d(6) is divided by 5.
4
Suppose 14*h = -h + 1545. Calculate the remainder when h is divided by 18.
13
Let t(w) = 9*w**3 - 3*w**2 + 6*w - 4. Calculate the remainder when 135 is divided by t(2).
67
Let s(c) = c**3 + 4*c**2 - 3*c + 2. Let q be s(-5). Let f(k) = -2*k + 4. Let z be f(-4). Let r = z + q. Calculate the remainder when 14 is divided by r.
2
Let q be 1524/45 + 4/30. Suppose 3*i + q = k, -23 = -2*k - 2*i + 5. What is the remainder when 94 is divided by k?
18
Suppose -4*i - 14 = -3*i. Let j = i + 18. Calculate the remainder when 6 is divided by j.
2
Suppose 4*n + c - 14 = 0, -n + 6*c = c + 7. Calculate the remainder when ((-5)/(-4))/((-1)/(-4)) is divided by n.
2
Let w be -1*2*(-152)/(-16). Let l = w + 31. Calculate the remainder when l is divided by 3.
0
Suppose -z = -2*t - 0*t + 186, -z = 4. Suppose -3*x + 105 = 3*i, 4*i + 46 = -63*x + 65*x. What is the remainder when t is divided by x?
29
Suppose -12 + 2 = 5*n, -5*c - 8 = 4*n. Suppose c = 4*p - p - 9. Calculate the remainder when 30 is divided by p.
0
Suppose 2*r = 3*j - 0*j - 135, 3*j - 3*r - 135 = 0. Suppose 5*a - 23 = 57. Let s = a + 0. Calculate the remainder when j is divided by s.
13
Let i(c) = -c**2 + 9*c - 2. Suppose -3*j = h - 194, -3*h - 181 - 56 = -4*j. Calculate the remainder when j is divided by i(6).
15
Let l be (-24)/(-16)*2/3*3. Suppose l*q - 711 = -6*q. What is the remainder when q is divided by 20?
19
Suppose -22*i = -1084 - 412. What is the remainder when i is divided by 9?
5
Let f = -46 - -55. Let s(o) = 19*o**2 + o. Let p be s(-1). Suppose p + 60 = 3*l. What is the remainder when l is divided by f?
8
Let q = -186 - -207. What is the remainder when q is divided by 7?
0
Suppose 0 = -4*t + 2*k + 854, -2*k + 0*k + 442 = 2*t. What is the remainder when t is divided by 37?
31
|
{
"pile_set_name": "DM Mathematics"
}
|
e -a*m = -2*k - 10 - 13, k = -4*m + 8. Find the first derivative of 0 + 2*y**m - 1 - y**3 wrt y.
3*y**2
What is the first derivative of -42 - 31*p + 2 + 19 + p wrt p?
-30
Suppose -4*t = -7*t. Let n(g) be the second derivative of 1/6*g**4 - 1/3*g**3 + 2*g + 0*g**2 + t. What is the second derivative of n(f) wrt f?
4
Let i = 3 + 1. What is the derivative of 0 - 9 - i*q**2 + 4 wrt q?
-8*q
What is the first derivative of 1 + 2 + 171*s**4 - 168*s**4 wrt s?
12*s**3
Let k(u) = -59*u**2 + 23*u - 5. Let p(b) = -60*b**2 + 25*b - 6. Let r(o) = 6*k(o) - 5*p(o). What is the second derivative of r(g) wrt g?
-108
Let c = -2 - -4. Let x(s) = s**2 + 12*s - 11. Let o be x(-13). Find the second derivative of d + 4*d**c - 2*d**o + d wrt d.
4
What is the derivative of 14 + 6 - 6*y**2 + 44*y**2 wrt y?
76*y
Let h(p) be the first derivative of -1/6*p**4 + 0*p**3 + p + 1 - p**2. Let r(y) be the first derivative of h(y). Differentiate r(j) with respect to j.
-4*j
Let r(v) = v + 2. Let o be (-1 - 2/(-2))/2. Let h be r(o). Find the third derivative of n**5 - n**h + 0*n**2 - 3*n**5 wrt n.
-120*n**2
What is the second derivative of -99 - 31*f**2 + 99 + 11*f wrt f?
-62
Let m(b) be the third derivative of 0*b**6 - 4*b**2 + 0*b**4 + 0*b - 1/20*b**5 + 0 - 1/70*b**7 + 0*b**3. What is the third derivative of m(t) wrt t?
-72*t
Let j(s) be the second derivative of -s**7/210 + 2*s**3/3 - 3*s**2/2 + 2*s. Let k(w) be the first derivative of j(w). Differentiate k(d) wrt d.
-4*d**3
Let z(y) be the second derivative of 3*y**7/7 + 7*y**4/4 + 27*y. What is the third derivative of z(q) wrt q?
1080*q**2
Suppose 4*p - 20 = -2*b, -p + 2*b + 0*b = 0. Suppose 0 = i + p*i - 15. What is the third derivative of -2*a**2 - 3 + i + 2*a**3 wrt a?
12
Find the second derivative of 0*j - j + 5*j**5 - 4*j + 9*j wrt j.
100*j**3
Let j(p) be the second derivative of p**9/252 - p**5/15 + 3*p**2/2 - 2*p. Let y(r) be the first derivative of j(r). Find the third derivative of y(t) wrt t.
240*t**3
Suppose 0 + 6 = 2*j. Let a(m) be the second derivative of j*m + 0*m**3 + 0*m**2 + 1/6*m**4 + 0 + 1/10*m**5. What is the third derivative of a(u) wrt u?
12
Let y(v) = -v + 9. Let a be y(6). Differentiate 4 - 8*s**a + 0 + s**3 - 2 wrt s.
-21*s**2
Let k(i) be the first derivative of 3*i**6/2 - i**2 - 7. Find the second derivative of k(a) wrt a.
180*a**3
Let d be 4/6 - 2/3. Differentiate 3 - 3*n**2 + 0 + d - 1 with respect to n.
-6*n
Differentiate 5*p**3 + 0*p**3 - 6*p**3 + 15 wrt p.
-3*p**2
Let h be -7 + (-3)/(9/3). Let y = -4 - h. Differentiate -3*j - 2*j + y*j + 1 wrt j.
-1
Let z(a) be the second derivative of 0*a**2 + 0*a**3 + 0 + 0*a**7 + 0*a**6 + 0*a**5 + 1/4*a**4 + 2*a - 1/14*a**8. What is the third derivative of z(w) wrt w?
-480*w**3
Suppose 0 = 3*f + 2*p - 12, -p = 5*f - 13. Suppose -5*u = -o - 16, -2*u + f*o = u - 4. Find the second derivative of -7*d**3 + 2*d + 7*d**3 + 2*d**u wrt d.
24*d**2
Let x = 5 - 7. Let l = 5 + x. Find the first derivative of 3 - 1 + 0 - j**l wrt j.
-3*j**2
Suppose -2*q + 0*q - g = 0, 3*q = -5*g. Let v(c) = c + 2. Let z be v(q). What is the second derivative of -h**2 + 3*h - h - h**z wrt h?
-4
Let m(o) be the third derivative of -o**5/3 + o**4/12 - 7*o**3/6 - 53*o**2. What is the second derivative of m(v) wrt v?
-40
Suppose -4*g - 3*n + 37 = 0, 0*g - g = -n - 11. Suppose g - 2 = 4*f. Find the third derivative of -6*t**3 + 4*t**3 - t**f + 0*t**2 wrt t.
-12
Let w(b) be the second derivative of b**8/336 + 7*b**4/24 + b**3/6 - 3*b. Let u(q) be the second derivative of w(q). Find the first derivative of u(x) wrt x.
20*x**3
Differentiate 68 + 55 - 102 - 7*b**2 wrt b.
-14*b
Let z(t) = -3*t - 4 + 12 + 4*t. Let c be z(-6). What is the third derivative of l**c + l**5 - 2*l**5 + l**2 wrt l?
-60*l**2
Suppose 5*i - 7 - 23 = 0. What is the derivative of -5 - 2 + 4 + 2*f**2 + i wrt f?
4*f
Let y(f) be the second derivative of -25*f**4/12 + 47*f**3/6 + 10*f. What is the second derivative of y(a) wrt a?
-50
Let x be (-5 + 1 - -1) + 2. Let n be (-4)/(1*x/2). What is the derivative of -4 - 6 + 0*c + n + 2*c wrt c?
2
Let b(v) = -11*v**2 + 23*v - 3. Let h(z) = -252*z**2 + 528*z - 68. Let f(i) = -136*b(i) + 6*h(i). Find the second derivative of f(g) wrt g.
-32
Let g(b) be the second derivative of 8*b**6/15 + 5*b**2 - 10*b. What is the first derivative of g(f) wrt f?
64*f**3
Let x(a) be the second derivative of -1/15*a**6 + 0*a**3 + 0*a**2 + 6*a + 0*a**5 + 0 - 1/12*a**4. What is the third derivative of x(z) wrt z?
-48*z
Let g(k) be the first derivative of -4*k**5/5 + 2*k**3 + 5. Find the third derivative of g(u) wrt u.
-96*u
Let o = 8 - 2. Find the second derivative of -o*h**5 + 5*h**5 + 0*h - h + 7*h wrt h.
-20*h**3
What is the first derivative of -8 + 6 - 1 - 2 + 2*j wrt j?
2
Let m be (-1)/2 + 5/2. Find the second derivative of -2*p**5 - 2*p**2 + p + p**m + p**2 wrt p.
-40*p**3
Let t(d) be the second derivative of -d**6/30 + d**3/3 + 3*d**2/2 - 3*d. Let v(c) be the first derivative of t(c). Differentiate v(s) with respect to s.
-12*s**2
Let t(s) be the third derivative of 0 + s**2 + 0*s + 2/15*s**5 - s**3 + 0*s**4. Differentiate t(w) with respect to w.
16*w
What is the second derivative of 71*t**2 - 157*t**2 - 22*t + 62*t**2 wrt t?
-48
Suppose 2*b - 3*l - 8 = 0, 4*b - 2*b + 3*l = 8. Let q be -2*((-6)/(-3))/(-1). Find the second derivative of 3*o + 0*o - o**5 - 2*o**q + 2*o**b wrt o.
-20*o**3
Suppose -5*k = 8*q - 4*q + 9, -3*q + k = -17. Suppose 3*c + 0*s = -5*s + 2, 0 = -2*s - q. What is the second derivative of -7*l + 3*l + 7*l - l**c wrt l?
-12*l**2
What is the second derivative of -630*k - k**2 + 3*k**2 + 639*k wrt k?
4
Let b(n) = -2*n + 7. Let u be -1 + -6*(0 - -1). Let w(f) = 2*f + 10. Let r be w(u). Let z(l) = l - 6. Let s(m) = r*b(m) - 5*z(m). Differentiate s(q) wrt q.
3
What is the first derivative of -11 + 29 + 6*k**3 - 9*k**3 - 17*k**3 wrt k?
-60*k**2
Suppose -2*j - 3*u = 12, -2*u - 2*u - 16 = 4*j. Let i(n) be the first derivative of -2/5*n**5 - 2 + 0*n**2 + j*n**4 - n + 0*n**3. Differentiate i(a) wrt a.
-8*a**3
What is the derivative of 7*m - 6*m + 1 + 18 wrt m?
1
Let l(u) be the first derivative of -2*u**3 + 0*u**4 + 0*u**2 - 1/5*u**5 + 0*u - 5. What is the third derivative of l(a) wrt a?
-24*a
What is the derivative of -45 + 23*g**4 + 17 - 29 wrt g?
92*g**3
Let z(k) be the third derivative of k**8/84 + k**4/4 - 4*k**2. Find the second derivative of z(o) wrt o.
80*o**3
Let b(a) = 9*a**2 + 1. Let w be b(-1). Differentiate 5 + w*x**3 + 11*x**3 - 27*x**3 wrt x.
-18*x**2
Let m(p) be the second derivative of -11*p**5/20 + 11*p**3/6 - 28*p. Find the second derivative of m(r) wrt r.
-66*r
Let p(d) be the second derivative of 0*d**3 + 0*d**4 + 9/2*d**2 + 4*d + 2/5*d**5 + 0. Differentiate p(q) wrt q.
24*q**2
What is the third derivative of -13*k**2 + 2*k**2 - 5*k**5 + 0*k**5 - k**5 wrt k?
-360*k**2
Let c = 7 + -7. What is the third derivative of 2*r**5 + 0*r**5 + 4*r**2 - r**2 + c*r**2 wrt r?
120*r**2
Let f(p) = -26*p**2 + 10*p - 2. Let m(q) = q**2 + q - 1. Let r(k) = f(k) - 2*m(k). What is the second derivative of r(x) wrt x?
-56
Let g(j) be the third derivative of -j**9/28 + j**5/5 - 25*j**2. What is the third derivative of g(i) wrt i?
-2160*i**3
Let z(g) be the second derivative of 1/4*g**4 + 2/3*g**3 + 0 + 5*g + 0*g**2. What is the second derivative of z(h) wrt h?
6
Let c be 9/2*6/9. Let o = 3 - c. What is the third derivative of o*s**2 - 5*s**2 + 8*s**5 + s**2 - 9*s**5 wrt s?
-60*s**2
Let s(u) = -15*u**3 - 7*u**2 + 12*u - 7. Let j(r) = 5*r**3 + 2*r**2 - 4*r + 2. Let h(t) = -7*j(t) - 2*s(t). Find the second derivative of h(m) wrt m.
-30*m
Suppose 0 = -2*f - 3*f + 5*d + 20, -d = -2*f + 9. What is the first derivative of 4 - j - j + f*j - 1 wrt j?
3
Suppose -2*d + 6*d - 12 = 0. Find the third derivative of d*f**4 + 2*f**5 - 3*f**4 + 2*f**2 wrt f.
120*f**2
Let r(l) be the second derivative of 2*l**7/3 + 4*l**3/3 + 3*l**2/2 - 11*l. Find the second derivative of r(i) wrt i.
560*i**3
Find the third derivative of 7*k**6 - 30*k**2 - 2*k**6 + 4*k**6 + 12*k**6 wrt k.
2520*k**3
Let s be (2 - 0) + 1 - 1. What is the first derivative of -2*j**3 - s - 3 + 3 + 3*j**3 wrt j?
3*j**2
Let m(z) = 2*z + 1. Let r be m(-3). Let y = -2 - r. What is the third derivative of 3*q**5 - q**3 - 2*q**2 + q**y wrt q?
180*q**2
Find t
|
{
"pile_set_name": "DM Mathematics"
}
|
c) 3 (d) 2/7
d
Let q = 0.1 + 0.1. Let m(i) = 8*i**2 + 6*i - 171. Let x be m(-5). Which is the nearest to -2/7? (a) x (b) q (c) -2/5
c
Let z = -225 + 147. Let v = z + 544/7. Let w = 9 - 9. Which is the closest to -0.1? (a) v (b) -0.5 (c) w
c
Let f = 2798 - 2801. Which is the nearest to -8? (a) 5 (b) f (c) -2/15
b
Let z = -6163 + 6163.1. Which is the nearest to 3? (a) -0.05 (b) 0 (c) z (d) -2/9
c
Suppose 78*v - 2 = 79*v. Let w be v/(-1) + 0 - 404/4. What is the closest to 1/3 in -0.4, w, -3?
-0.4
Let k = -0.522 + 501.522. Let q = k + -497. What is the nearest to 6 in q, -0.1, -1/2, 0.3?
q
Let q = -82 - -47. Let r = q - -83. Let x = -43 + r. Which is the nearest to -2/3? (a) 3/2 (b) x (c) -0.01
c
Let d be 4/(4 - 0) + 1. Suppose -3*n - 5*i + 29 = 0, 0*n - 22 = -d*n - 4*i. Suppose 5*h + a - 3 = 22, n*h = a + 7. What is the nearest to 0.1 in h, 22, 5/4?
5/4
Let k = -2317.91 + 2318. Which is the nearest to -1? (a) -1/3 (b) -1/5 (c) k
a
Let k = 1179 - 1178.889. Let d = 703 + -702.111. Let p = k + d. What is the nearest to p in 0, 4, -3?
0
Let j = -4 - -9. Let y = 84177 + -84176. Which is the closest to y? (a) j (b) 4 (c) 0.1
c
Let c = 1548 - 17007/11. What is the nearest to -1 in -0.2, -0.3, c?
-0.3
Let u = -4349.1 - -4349. Which is the closest to 1/5? (a) u (b) 17 (c) -2 (d) -1
a
Let t = -11775 + 35324/3. What is the closest to -0.1 in -6, 0.1, t?
0.1
Suppose 414 = -2107*y + 2038*y. What is the nearest to 2 in -7, -2/21, y, 1/4?
1/4
Let p = 59.665 - 0.065. Let a = 59.2 - p. What is the nearest to -35/4 in 0, a, -4/5?
-4/5
Let o be ((-1546)/514 - -3)*1. Let p = o - 253/514. Let z = -0.297 + -0.003. Which is the closest to z? (a) p (b) 3 (c) -0.4
c
Let v = -1/222 + -437/1554. Let m = 31 - 36. Let o = -107 + 111. Which is the closest to 1? (a) m (b) v (c) o
b
Let q = 75527/415943 + 9/37813. Let d = -4.92 - 0.08. Let n = -1 + 1. What is the closest to 2 in q, d, n?
q
Let o be 12/(-15)*(-45)/6. Let z be -7*14/21 - (-4)/o. What is the nearest to 1 in -14, -1/9, z?
-1/9
Let x(i) = 25*i - 1176. Let r be x(47). Which is the nearest to -2? (a) 0 (b) r (c) -1/16
b
Suppose 85*j = 86*j + 3. Let l be ((-111)/(-222))/(j/(-2) + 0). Let v = -30 - -53. What is the closest to -0.1 in -2, l, v?
l
Let h = -3.9 - 0.1. Let g = -163/6 + 27. Let m = 17.871 - -0.129. Which is the closest to 0.1? (a) g (b) h (c) m
a
Let a = -26490 - -26487. What is the closest to -1/5 in -71.7, a, -5, 0.4?
0.4
Let h = -490.86 - 9.14. Let n = -500.2 - h. Let z = 1 + 3. Which is the nearest to n? (a) 2/9 (b) z (c) 0
c
Let b = 37591/7 + -5371. What is the nearest to 0.24 in b, -1, 5, -2?
b
Let z = -699 + 705. Let i be (-4 + z)*11/66. What is the closest to i in -0.4, 1, 4/7?
4/7
Let u = 2.9358 + 0.0642. Which is the nearest to 110? (a) u (b) 0.1 (c) 8/7
a
Let c = 2.9 + 0.4. Let y = c + -3. Let x = -459/973 + 6/139. What is the closest to 1/3 in x, y, 4?
y
Let b be (-7130)/(-9300) - 6/10. What is the closest to 1/4 in 888, b, 3, -0.3?
b
Let w = -191 - -187. Which is the nearest to -0.1? (a) 3/17 (b) w (c) -0.5 (d) 0
d
Let w = -11471 - -11468. Which is the nearest to w? (a) -2/23 (b) 0 (c) -0.06
a
Let d = 35/101 - 377/505. Which is the nearest to d? (a) -57.1 (b) 2 (c) -6/11
c
Let a = 6.0594 + -1.0594. What is the closest to -0.32 in 0, a, -3, 17?
0
Let y be 1 - (-1 + (-786)/(-14)). Let l = y + 54. Let j be 1232/(-539)*7/(-2). What is the closest to -1/2 in j, 2, l?
l
Let m = -39 - -14. Let a = -92942 - -92942.3. What is the nearest to m in a, 4, 1/2?
a
Let x = 87014 - 1127115/13. Let k = x - 313. Let s(i) = -1584*i + 9506. Let o be s(6). Which is the nearest to -1? (a) 1/4 (b) k (c) o
b
Let r = -1.27 + -13.73. Let d = -7 - r. Let o = -3 + d. Which is the nearest to 0.1? (a) 3 (b) -0.4 (c) o
b
Let i be -5*(6/5)/2. Let u = -19801 - -19801.3. What is the nearest to u in -4, i, -1.2?
-1.2
Let v = -0.0439 - 515.4561. Let n = -515 - v. Which is the nearest to -7? (a) n (b) 5 (c) -1
c
Suppose -102*x = 66*x - 318 - 18. Let z = 7 + -6.94. What is the nearest to x in z, -2/9, -4?
z
Let p be (-2)/3*(-1)/2. Let m = -0.25116 - -1.25116. What is the closest to m in p, 1/2, -3/5?
1/2
Let g = 1.332 - -1.668. Which is the closest to 22? (a) 2/5 (b) -1 (c) 1 (d) g
d
Let u(j) = -25 - 28*j + 10*j + 5*j + 8*j. Let o be u(-6). Let n = 44 - 353/8. Which is the nearest to -6? (a) n (b) -4 (c) o
b
Let x = 0 - -0.1. Let g = -176816.2 + 176816. What is the closest to g in x, 1, 5?
x
Let z be ((-19620)/(-504) - 39)*(1 - 25/18). What is the nearest to 2 in 3, z, 0.19?
3
Let v = 167 + -165. Let u = -158 + 249. Let l = -90.6 + u. Which is the nearest to 0.2? (a) v (b) l (c) -1
b
Let f = -215/9 - -24. Let j = -0.6697 - -0.5697. Let y be ((-1)/(-4))/(21/12). Which is the closest to j? (a) 1 (b) f (c) y
b
Let l(v) = -25*v**2 - 3*v + 4. Let b be l(2). Let d = 102 + b. Suppose -m - 4*o - 9 = d, -10 = 2*m + 3*o + o. What is the nearest to m in -1/11, 22, -0.5?
-0.5
Let n = -1.578 + -1.422. Which is the closest to 0? (a) -93 (b) n (c) -11
b
Let g be ((-3)/(135/(-21)) + 7/21)/(-10). What is the nearest to 8/5 in g, -2, -2/5?
g
Let i = 52.97 + -52.97. Which is the nearest to -0.17? (a) -0.3 (b) -2 (c) 3 (d) i
a
Let r be (1/5)/(27/30). Let t = -382/855 + 2/855. Let x = 3.1 + -3. What is the nearest to x in t, r, 3?
r
Let d = 42 - 168. Let t = d + 123. Which is the nearest to 0.3? (a) 3/4 (b) t (c) 5
a
Let o be (18/24)/((-1)/(-2)). Suppose -12 = -39*j - 51. Let i(w) = -w + 10. Let q be i(10). What is the nearest to o in j, q, -0.3?
q
Let r be (-38)/10 + (-16)/(48/(-9)). Which is the nearest to 1? (a) r (b) 1 (c) 13 (d) -7
b
Let f be (4/12)/((-1)/(-9)). Suppose -f*q = -4*z - 10, 3*q = -3*z - 16 - 2. Let w(i) = 3*i + 5. Let p be w(q). What is the nearest to -1 in p, -5, 0.5?
p
Let l be 396/54 + -8 + (-10)/12. Which is the nearest to l? (a) -1 (b) -140 (c) -1/3 (d) -5
a
Let q = -23.11 + 22.11. Which is the closest to 0.061? (a) -0.3 (b) q (c) 0.5
a
Suppose 79*n - 58*n + 23 = 44*n. Let k = 29 - -60. What is the closest to k in n, -3/5, 0.2, 5?
5
Suppose -y + 1 - 5 = 0. Let d be 17 - 1023/60 - 5/((-25)/4). Which is the nearest to 0.1? (a) -3 (b) d (c) y
b
Let x = 47/14 + -20/7. Let t(k) = -k**3 + 24*k**2 + 17*k + 203. Let g be t(25). Which is the closest to x? (a) 4/13 (b) 0.4 (c) g
b
Let t = 514.7 - 515.4. What is the nearest to 53 in -5, t, -2?
t
Let t = 146.8 - 147. Let f = -350/3 - -117. Which is the nearest to f? (a) t (b) -2/5 (c) -6
a
Let o = 0.93 - 60.93. Let d = -56 - o. Let x be (4/(-6))/(28/6). What is the closest to -1 in d, -0.3, x?
-0.3
Let l = -11488/7 + 1641. What is the closest to 5 in 1/4, l, 10?
1/4
Let n = -3940.7 - -3941. Which is the nearest to 1? (a) n (b) 1.3 (c) -2/11
b
Let z = -154.5 + 154.6. What is the nearest to 1 in 0.2, -3/11, z?
0.2
Let y(f) = 2*f**2 - 24*f + 42. Let t be y(2). Let i = 2.5 - -20.5. Let w = 18 - i. Which is the closest to 0? (a) w (b) -0.1 (c) t
b
Let r be 147/98 - (-1)/(-1)*2. Let q = -270.8 - -271. What is the nearest to q in r, -5, 2/9?
2/9
Let k = -5.89 + 6.09. Let m be (-3)/30*-8*-5. Let r = -9 - m. What is the nearest to k in r, -1/5, -1/2?
-1/5
Let q = 0.33 - 0.03. Let t = 22384.5 + -22384. Let w = 0.2 + -0.3. Which is the nearest to q? (a) t (b) -0.4 (c) w
a
Let p = -0.67 + 0.37. Let o = p - -0.4. Let h = -938.5 + 938. Which is the closest to o? (a) 1 (b) 0.5 (c) h
b
Let i = -269 - -269.051. Let v = i - 0.251. Which is the closest to 0.1? (a) -16 (b) v (c) 1/6
c
Let g = -4.02288 + 0.02288. What is the closest to 0 in 76, g, -14?
g
Let b = 4029 - 4028. What is the closest to 0.2 in 1/3, 0.2, b?
0.2
Let m = -8.234 + 8.434. Which is the nearest to m? (a) -7/5 (b) -3 (c) -0.1
c
Let r be (-7306)/819 + -1 + 14/18. Let k = 206/21 + r. Which is the nearest to k? (a) -1/3 (b) 0.5 (c) -5
b
Let i = -443591.3 - -443591. Let d = 3 - 2.97. What is the nearest to 0.1 in i, 4, d, -0.5?
d
Let r = 14036 + -14036. Let q = 0.2 - -0.3. Which is the nearest to 0? (a) -4 (b) r (c) q
b
Suppose 2*r - 56 = 4*g, -2*r = -g - 4*r - 4. Let q be (4/(-14))/(g/21). Which is the nearest to 8? (a) q (b) -3 (c) -5 (d) -0.01
a
Suppose 37 = z - 6. Let o = z + -47. Let j be (81/18)/(5 + 1)
|
{
"pile_set_name": "DM Mathematics"
}
|
False
Suppose -2*u - 3*u = -1475. Suppose 2*n - 438 = -5*l - 64, -u = -4*l - 3*n. Does 13 divide l?
False
Let f = -117 - -8. Let j = -71 - f. Is 10 a factor of j?
False
Let q(g) = 8*g**2 + 3*g - 7. Let o(b) = 3*b**2 + b - 2. Let r(j) = 11*o(j) - 4*q(j). Is r(5) a multiple of 13?
True
Suppose 2*z - 5*i = z + 65, -z + 4*i + 64 = 0. Is z a multiple of 15?
True
Let v be 4/8*(4 - 0). Suppose -71 = -f - b, -4*b + 39 + 101 = v*f. Does 12 divide f?
True
Suppose 4 = -c + 16. Does 4 divide c?
True
Let i(f) = -f**3 + 6*f**2 + 5*f + 5. Let g be i(7). Let p = g + 32. Is 11 a factor of p?
False
Let w be (1 - 3)/(3/(-24)). Suppose 3*r = w + 47. Suppose -19 = -5*g + r. Is g a multiple of 3?
False
Suppose -4*n + 436 = -2*p, 575 = 2*n + 3*n + 5*p. Is 24 a factor of n?
False
Let t(p) = p**3 + 2*p**2 - 9*p + 3. Does 6 divide t(-4)?
False
Let j(u) = 3*u**2 + u. Let v be j(1). Suppose 0 = a + 2*f - v + 3, -a - 3 = 3*f. Is a a multiple of 3?
True
Suppose -144 = -4*d + 3*o, -4*d = 2*o - 3*o - 136. Suppose 4 = -y + d. Is 29 a factor of y?
True
Let o(s) = s**2 + 7*s - 5. Let y be o(-10). Suppose 4*u = -y + 97. Does 18 divide u?
True
Is 37 - 7/(21/6) a multiple of 27?
False
Is (-5 + 5 + 9/(-2))*-18 a multiple of 27?
True
Suppose 3*j - 5*z - 300 = 0, -j - 44 = 5*z - 164. Suppose 3*w - j = 3. Is 14 a factor of w?
False
Let j(z) = -z**2 + 5*z + 9. Let f be j(8). Let a be 3/f - (-12)/10. Let x = 11 - a. Is 5 a factor of x?
True
Let a(v) = -v**3 + 19*v**2 + 6*v + 14. Does 19 divide a(19)?
False
Suppose -3*x + 262 = -5*z, -x + 0*z - 2*z + 80 = 0. Is x a multiple of 12?
True
Suppose -2*j - 15 - 1 = -4*s, -4*s + 16 = -3*j. Let b(k) = j - 12*k**3 - k**2 + k - 1 + 2. Does 11 divide b(-1)?
True
Suppose 0 = 2*l - 10 - 12. Is 8 a factor of l?
False
Let y = -585 - -1079. Is y a multiple of 19?
True
Suppose 2 = -s + 7. Does 15 divide 240/28*(s - -2)?
True
Let i(r) = 11*r + 8. Is 24 a factor of i(8)?
True
Let h be ((-106)/4 + 3)*-2. Suppose -2*p = -5*c - h, -c + 10 = c. Does 12 divide p?
True
Suppose -64 = -4*v - 4*g, v - 5*g - 46 = -3*v. Does 10 divide v?
False
Let q = -9 - -17. Suppose -q*k = -4*k + 188. Let a = -7 - k. Is a a multiple of 11?
False
Let v be (((-6)/1)/(-3))/(-2). Let i(y) = 6*y**2 - y - 1. Let c be i(v). Is (-202)/(-6) + 2/c a multiple of 17?
True
Suppose 3*a - 22 = -t - a, t = -2*a + 12. Suppose -t*o + 47 = -19. Is o a multiple of 11?
True
Let b = -20 + 23. Does 3 divide b?
True
Suppose -6*u - 67 + 775 = 0. Does 6 divide u?
False
Suppose -3*l - 12 = 3*c, 4*c + 11 = -3*l - 1. Suppose c = 3*q - q - 90. Is q a multiple of 15?
True
Suppose 3*c + 4*n - 106 = 0, -c - 2*n = -4*n - 32. Does 6 divide c?
False
Let l(g) = -g**3 + 2*g**2 + 2*g - 3. Let d be l(2). Suppose 4*k + d = 9. Suppose -k*s - 3*q = -54, -q = -s - 0*q + 37. Does 12 divide s?
False
Suppose 110 = 3*h + 2*h. Is h a multiple of 11?
True
Suppose -90 = 6*b - 360. Does 10 divide b?
False
Suppose 5*z - 12 = 4*r, 3*r = -2*z + 6*z - 9. Is 13 a factor of (2/r)/(8/(-744))?
False
Let m(k) be the second derivative of -k**2 - 2/3*k**3 + 1/12*k**4 + 0 + k. Is 3 a factor of m(5)?
True
Suppose 153 = 5*n - 87. Is n a multiple of 22?
False
Let q be -2*(30 - (-1 - -2)). Let d = 88 + q. Is d a multiple of 15?
True
Let b = 70 + 75. Does 7 divide b?
False
Let g(s) = -3*s**2 - 89*s - 15. Is g(-29) a multiple of 38?
False
Let c be (-70 + 0)*(-36)/30. Suppose v - 3*v + c = 0. Is 14 a factor of v?
True
Let i(o) = o**3 + 10*o**2 + 2*o - 3. Is i(-4) a multiple of 17?
True
Suppose -20 = -4*q + 4. Suppose j = -3*j + v + q, -v + 2 = 0. Suppose 147 = 4*p - p + 3*i, j*p + 5*i = 113. Is 22 a factor of p?
True
Let v(j) = -j**3 + 7*j**2 - 8*j + 2. Let m be v(6). Is (-108)/(-20) + 4/m a multiple of 5?
True
Let s(g) = g**2 + 4*g + 3. Let h(a) = a**2 + 9*a + 4. Let p be h(-8). Let m be s(p). Suppose y + 13 = 5*l - l, y + 8 = m*l. Does 3 divide y?
False
Let d(n) = -11*n - 3. Let g be d(-5). Let l = g - -18. Is 13 a factor of l?
False
Suppose -7*m + 3*m = -2*r - 212, -60 = -m + 4*r. Is m a multiple of 13?
True
Let h be (-16)/6*6/(-4). Let l(k) = k - 4. Let o be l(11). Let i = o + h. Is 5 a factor of i?
False
Let q(y) be the third derivative of -1/6*y**3 + 1/8*y**4 + 0 + 0*y + 1/12*y**5 - 2*y**2. Is 9 a factor of q(2)?
False
Let t be ((-4)/(-5))/((-2)/(-5)). Let f be 60 + 6/(6/t). Suppose -3*p - 2*h + f = 8, -p - 5*h + 31 = 0. Is 12 a factor of p?
False
Suppose -i - 30 = -3*i. Let k = 24 - i. Does 9 divide k?
True
Suppose -24 = -c + 27. Let l = -17 + c. Does 17 divide l?
True
Let n be ((-1)/(-3) - 1)*-3. Suppose 4*v = 4*c - 104, -n*c = 5*v + 2 - 33. Does 21 divide c?
False
Does 11 divide (-1785)/(-18) - (-3)/(-18)?
True
Suppose 0 = 2*u, 2*q - 5*u - 5 = 199. Does 17 divide q?
True
Let w(a) = a**2 + 2*a - 10. Does 5 divide w(5)?
True
Let u(p) = -61*p - 7. Does 54 divide u(-1)?
True
Suppose 3*y = 4 + 8. Suppose -2*q = -p + 3*p - 24, y*q = -3*p + 36. Is 12 a factor of p?
True
Suppose -3*v + 16 = -5*q + 55, -2*v = 3*q + 26. Let o = 14 - v. Suppose o = 3*z + 3. Does 6 divide z?
False
Let g = 51 - 27. Is g a multiple of 6?
True
Let q(r) = -r**2 + 23*r + 7. Is 43 a factor of q(16)?
False
Suppose -26*l + 27*l = 64. Does 32 divide l?
True
Suppose 8*l = 503 - 23. Is l a multiple of 10?
True
Let p(j) = 10*j**3 - 2*j**2 + 2*j - 1. Let l be (-1 + 0)/((-5)/5). Is 3 a factor of p(l)?
True
Suppose -2*v - 21 = -69. Is v a multiple of 12?
True
Let o = 3 - 4. Let z(g) = -g - 2. Let t be z(o). Is (t - 0)/(2/(-34)) a multiple of 9?
False
Let l(y) = -y**2 - 6*y - 3. Let k be l(-5). Suppose -30 = k*d - 4*d. Is d a multiple of 10?
False
Is (-67)/(-4) + 6/24 a multiple of 4?
False
Suppose h + 3*h - 13 = 5*a, 2*a = -5*h + 8. Let o = a + 4. Suppose 4*r = 2*s + 114, -o*r - 4*s + 105 = s. Is 13 a factor of r?
False
Let n = 0 + 33. Is n a multiple of 7?
False
Suppose -4*n = -9*n + 190. Is 26 a factor of n?
False
Let v(b) = b**3 + 42. Let d be v(0). Suppose -1 + 11 = i - 3*x, -3*x = -3*i + 18. Suppose -f + i*f - d = 0. Is 14 a factor of f?
True
Is 10 a factor of (12/(-10))/(4/(-110))?
False
Suppose 0 = 3*d - 7*d - 12. Let p(c) = c**2 + 1. Let m(f) = -f**2 + f + 2. Let q(j) = m(j) + 2*p(j). Does 10 divide q(d)?
True
Let y = 75 + -124. Let d = -14 - y. Does 14 divide d?
False
Let a = -59 - -82. Is 7 a factor of a?
False
Let z = 49 - 47. Let i = 42 - -9. Suppose z*t + f = i, 3*t - f + 99 = 7*t. Is t a multiple of 8?
True
Does 15 divide 98 + 0 - (-4 - -3)?
False
Let s(h) = -h - 7. Let o be s(-10). Let g(r) = -r**3 + 5*r**2 - 4*r. Let c be g(o). Does 14 divide (-28)/(-1)*3/c?
True
Suppose -7*g + 24 = -4*g. Let a = g - 6. Suppose -k - a = 0, -q + 2*k - 2 + 15 = 0. Is 3 a factor of q?
True
Suppose -3*k + y = 2*y - 4, 6 = 4*k + 2*y. Let v be -6*k*(-5)/10. Suppose v*i = -g + 21, 5*i + 2*g - 39 + 3 = 0. Is i even?
True
Let g(m) = m**2 - 2*m - 5. Let f be g(4). Suppose f*p - 57 = -5*l, 4*p + l - 76 = 6*l. Is p a multiple of 8?
False
Let d(z) = z - 11. Let r be d(7). Suppose -3*l - y + 24 = -8, -4*l + 36 = -2*y. Is r/l + 94/10 a multiple of 3?
True
Let i be ((-1 + -1)/2)/(-1). Let z = 21 - i. Does 5 divide z?
True
Let p(q) be the first derivative of 13*q**3 + 1. Is p(1) a multiple of 18?
False
Suppose -5*m - 3*r = 35, 4*m + 5*r - r + 20 = 0. Let o be 4/m - 182/(-5). Suppose o = 5*d - 29. Is d a multiple of 13?
True
Let y = 34 - 8. Is 13 a factor of y?
True
Let w = 202 - 119. Suppose 1 = 3*n - w. Does 14 divide n?
True
Suppose -4*b = 2*a + 26, -b - 44 = 5*a - 15. Let m = a + 8. Suppose 4*n = 5*f - 35, -m*f + 4*n + 8 = -21. Is f even?
False
Let b(s) be the first derivative of 3*s**2/2 - 3*s - 1. Does 27 divide b(10)?
True
Let s be 0 + 1 + 1 - 0. Suppose -s*i = -i. Suppose 4*u - u - 30 = i. Is u a multiple of 5?
True
Let m = 219 + -139. Is 40 a factor of m?
True
Let u(z) = -z**3 - z + 49. Let w be 6/3 - (1 - 0). Let b = w - 1. Is 17 a factor of u(b)?
False
Let i(c) = 31*c + 5. Is 26 a factor of i(6)?
False
Let l be ((-3)/3)/(-1) + -6. Does 11 divide ((-8)/l)/((-5)/(-100))?
False
Suppose -4*y + 5 = 5*u + 10, -2*y = -3*u + 19. Let w = 8 + y. Suppose s + 1 = 2, 4*s + 98 = w*i. Is 19 a factor of i?
False
Is 4 a factor of (1 - 2)/((-4)/64)?
True
Suppose -3*w - 2 = -w, 81 = 4*p + 3*w. Does 12 divide 8/28 + 414/p?
False
Suppose -5*g - 30 - 32 = j, -4*g - 46 = -j. Let k = 10 + g. Let u(t) = t**3 + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose -v = -f - g. Calculate n(f).
24
Let x(k) = -7*k**2 - 6*k - 12. Let v(o) = 16*o**2 + 13*o + 26. Let f(p) = 4*v(p) + 9*x(p). Let z = -7 + 5. Let g be (33/55)/(z/(-10)). Give f(g).
-1
Suppose 3*b = -9, a + 5*b + 19 = 3*a. Let v(w) = 2 - 6*w**2 - 3*w - 12*w**3 + a*w - 8 + 11*w**3. Let i(y) = 2*y - 18. Let k be i(6). Give v(k).
0
Suppose 2*k - 3*t - 291 = 1569, -t - 2783 = -3*k. Let x(r) = -r**2 + 8*r - 466 - 454 + k. Calculate x(6).
19
Let c be -2 - ((-100)/(-450) - 65/9). Let m(b) = b**2 - 5*b - 6. Give m(c).
-6
Let q(d) = d**3 - 10*d**2 - 3*d + 7. Suppose 0 = -5*r - 301*j + 306*j + 65, -15 = 5*j. Determine q(r).
-23
Let k(o) = -o + 77. Suppose 65*t + 3*p = 60*t + 231, 4*t + p = 182. Give k(t).
32
Let i(z) = -4*z**3 - 1 + 2*z**2 - 3*z**2 - 7*z**3 - z. Let a(t) = 14*t - 1345. Let k be a(96). What is i(k)?
10
Suppose 0 = -5*t + 2*t + 3*h + 3, -2*h + 4 = t. Let s(n) = n + n**2 - 6*n**t + 10 - n**2 + 5*n**2. Let k be (-1)/1*(2 - 2). Give s(k).
10
Let p(i) = -2*i**3 - 6*i**2 + 6*i - 22. Let o be p(-5). Let t = o + -52. Let g(l) = 2*l**2 + 3*l + 2. Give g(t).
22
Let z(q) = -15 + 168*q + 50 - 85*q - 76*q. Let p(o) = -6*o - 31. Let d(j) = 6*p(j) + 5*z(j). Calculate d(-7).
-4
Let w(p) = 10*p**2 - 100*p + 14. Let k(a) = 5*a**2 - 47*a + 6. Let x(v) = 9*k(v) - 4*w(v). Determine x(5).
8
Let d(v) = -33*v + 13. Let b(k) = -k**3 + 69*k + 134. Let t be b(-2). What is d(t)?
-119
Let l(f) be the second derivative of -f**7/2520 + f**6/90 - f**5/20 + 17*f**4/4 + f**3/6 - 15*f + 2. Let r(z) be the third derivative of l(z). Calculate r(6).
6
Let h = 68 + -51. Suppose -h*s + 15 = -14*s. Let b(j) = s*j**2 + 72 + 2*j**3 - j**3 - 5*j - 64. What is b(-6)?
2
Let s(f) = -7*f**2 - 212*f - 23. Let h(n) = -3*n**2 - 98*n - 11. Let c(v) = -13*h(v) + 6*s(v). Give c(5).
-60
Let l(k) = -k**3 - 36*k**2 - 42*k + 888. Let n be l(-34). Let p(u) = u**3 - 7*u**2 + 12*u - 14. Calculate p(n).
-14
Let j(o) = -8*o - 4. Let y(r) = 10*r + 5. Let t(v) = 6*j(v) + 5*y(v). Suppose 0 = -41*d + 28*d - 26. Determine t(d).
-3
Let i(s) = s**3 + 6*s**2 - 73*s - 12. Let b = -18452 + 18440. Determine i(b).
0
Let i(b) = -17*b**2 - 19*b - 15. Let n(j) = -27*j**2 - 29*j - 23. Let h = -194 - -199. Let v(w) = h*n(w) - 8*i(w). Give v(-4).
-7
Let h(r) be the third derivative of r**5/20 - 7*r**4/2 - 83*r**3/6 - 7614*r**2. Calculate h(29).
4
Let l(p) = -p**3 + 8*p**2 - 10*p + 6. Let f be ((6/(-4))/3*-10)/1. Suppose 2 = -f*m + 12. Let h be (-1*(-45)/5)/(3/m). What is l(h)?
18
Let r(w) = w**2 - 15*w + 5. Let a(y) = 6*y**2 + 76*y + 61. Let x be a(-12). Give r(x).
-21
Let k(p) be the second derivative of p**4/12 - 19*p**3/6 - 87*p**2/2 + 2*p - 334. What is k(23)?
5
Let k(m) = -2 + 2*m**2 + 19 - 12 + 7*m - m**2. Suppose -7 = u - 2. What is k(u)?
-5
Let t = 426 + -424. Suppose t*p - 72 = -7*p. Let q(d) = 4*d - 12. Determine q(p).
20
Let b(y) be the first derivative of y**4/4 + 5*y**3/3 - 7*y**2 + 6*y - 1957. Give b(-7).
6
Let i be 3 - (2 - (96 + 4)). Let h(q) = 38*q - 1 - i*q - q**2 + 54*q. Determine h(-7).
13
Let j(k) = -2*k**2 - 199*k - 765. Let h be j(-4). Let s(l) = -8*l**3 + 2*l**2 - 17*l - 18. Calculate s(h).
9
Let h be (((-462)/12)/(-11))/((-2)/12). Let s = h + 26. Let a(t) = 3*t - 10 + 2 - 2*t. Determine a(s).
-3
Let t(z) = 5*z**2 + 49*z + 95. Let d be t(-2). Let y(m) = -m**2 + 7*m + 175. What is y(d)?
5
Let h be 4/(-14) + (-714)/(-98) + 0. Let r(p) be the first derivative of p**3/3 - 5*p**2/2 - 14*p + 4. What is r(h)?
0
Let p(v) = -93*v**3 - v**2 + 7*v - 6. Let z be p(1). Let j = z - -103. Let w(u) = u**2 - 10*u - 5. Calculate w(j).
-5
Let u(i) = i - 10. Let g be u(12). Let t(p) = -5*p + p**3 - 5*p**g + 22*p - 14*p. Suppose 45*a - 48*a = -9. What is t(a)?
-9
Suppose -2*x - 8 = 0, -5*s + 5*x + 41 + 24 = 0. Suppose s*b - 54 = -108. Let g(i) = -i**3 - 6*i**2 - 3*i - 4. Determine g(b).
14
Suppose -7*k + 525 = 462. Let x(s) = 9*s**3 + 2*s**2 - k + 7*s**3 + 22*s**3 + 10 - 2*s. Give x(1).
39
Let m(k) be the first derivative of -k**4/4 + k**3 + 5*k**2/2 - 5*k + 2819. Give m(4).
-1
Suppose 146*k + 8 = 134*k - 4. Let y(a) = -13*a**3 + a**2 - 4*a - 5. Calculate y(k).
13
Let v(x) = 3*x + 4. Let u(l) = 33*l + l**3 - 14*l - 3*l**2 + l**2 - 29 - 9*l**2 - 7*l**2. Let f be u(17). What is v(f)?
19
Let l(p) = 31*p - 9*p + p**2 + 84 - 29 - 30 - 20. Calculate l(-9).
-112
Let y = 24 + -18. Let w(x) = -y + 13*x + 2 + 2 - 4*x. Let n be (4/(-6))/(-2 - (-35)/21). Determine w(n).
16
Let h(i) = i**2 + 3*i - 1. Let t(x) = -3*x**3 - 33*x**2 - 88*x + 2. Let u be t(-6). Give h(u).
69
Let j(d) be the second derivative of -d**5/20 - 13*d**4/12 + 25*d**3/6 + 75*d**2 + 1093*d + 2. Give j(-14).
-4
Let z = 73 + -54. Let v(q) = -2*q + 39. Let p be v(z). Let r(k) = 0 + 72*k + k**3 - 76*k - p + 4*k**2. Give r(-5).
-6
Let w(s) = -s**2 + 15*s - 5. Let n(k) = -k**3 - 30*k**2 - 21*k + 36. Let x be n(-29). Let b = -182 - x. Calculate w(b).
9
Let f(l) = -l**2 - 49*l - 90. Let r be f(-2). Let q(k) = -2*k**3 + 6*k**2 - 4*k - 6. What is q(r)?
-54
Let f(l) = -4*l**3 - l - 1. Suppose -6*b + 5*t - 9 = -4*b, 4*b + 12 = 4*t. Give f(b).
33
Let o(b) be the first derivative of 3*b**2/2 + 3*b + 3598. What is o(-9)?
-24
Let j(v) = 23*v**2 + 58*v - 250. Let z(w) = 9*w**2 + 29*w - 124. Let u(r) = -2*j(r) + 5*z(r). What is u(24)?
0
Let g(p) = p**2 - 4*p + 5. Let m(x) = x**2 + 5*x + 9. Let d = -46 - -43. Let y be m(d). Let w be 7 + (-5)/5*y. Give g(w).
5
Let w(h) be the third derivative of 5/24*h**4 - 11*h**2 + 0 - 3*h - 1/6*h**3 - 1/60*h**5. What is w(2)?
5
Let v be 2/23 - (-100276)/(-1012). Let b be ((-10)/(-6))/(1001/v - -10). Let m(u) = -2*u - 15. Calculate m(b).
15
Let j be (-2)/6*(-123 - -123). Let h(l) = l**3 - l + 68. Give h(j).
68
Let v = 3322 - 3325. Let z(h) = -4*h**2 + 4*h - 2. Determine z(v).
-50
Let j(q) = -4*q - 9. Let b(o) = o**3 - 8*o - 1. Let m be b(3). Let c be (4 + 2)/(m*(-6)/(-32)). Suppose -4*f - c = 8. Give j(f).
15
Let h(d) = -52*d + 462. Suppose 234*j = 484*j - 2250. Give h(j).
-6
Let f(v) = -v**3 - 2*v**2 - 3*v - 36. Let n be (-1)/(-7) + (-1 - -2)/(70/(-10)). Determine f(n).
-36
Suppose -113 + 14 = 8*q + 29. Let m(i) = -i**2 - 12*i + 59. Give m(q).
-5
Let f(b) = b**3 + 5*b**2 - 9*b - 2. Let w be ((-2)/(11 + -10))/(4/(-78)). Suppose -6*d = -w*d - 198. Give f(d).
16
Let f(k) = -6 - 6*k + 29*k - 6*k - 14*k - 5. Determine f(-5).
-26
Let u(p) be the third derivative of -p**4/24 - 13*p**3/6 + 6*p**2. Suppose -8*g - 3*i - 16 = -7*g, 5*i = -10. Give u(g).
-3
Suppose 0 = -6*c - 11 + 35. Suppose 0 = -c*v + 103 - 359. Let j = v - -62. Let g(h) = -3*h + 1. Give g(j).
7
Let c = 185 + -179. Suppose -c*y + 20 = -3*y + 2*s, -3*s + 8 = -y. Let k(o) = -o**3 + 5*o**2 - 4*o - 1. Give k(y).
-1
Let q be ((-4)/(-6))/((-2)/(-183)). Let y be 843/15 + 32/40. Let w = y - q. Let x(u) = 2*u - 1. Determine x(w).
-9
Let r = -1 + 1. Let x(k) = 3*k - 45. Let h(p) = -7*p + 101. Let c(g) = -4*h(g) - 9*x(g). What is c(r)?
1
Let g(q) = -23*q - 50. Let b = 19715 + -19718. What is g(b)?
19
Let v(s) = s + 34*s**2 - 547*s**3 + 546*s**3 - 67 + 32*s**2. Give v(66).
-1
Let f(j) be the first derivative of -j**4/2 + j**3/3 + 3*j**2/2 - 3*j - 3. Let i be 1 + 1/3*3. Suppose -2 = -4*k - i*r, -2*k - 7 = 2*k + 5*r. Determine f(k).
-9
Let f be (-7)/(-5) - (-6)/10. Suppose 0 = w + 5, 5*w - 2*w + 21 = f*v. Let q(l) be the third derivative of 5*l**4/24 + 9132*l**2. Give q(v).
15
Let q(s) = 7*s. Let j(g) be the third derivative of -5*g**4/24 - 31*g**3/6 + g**2. Suppose 86 = -11*t + 20. Let k be j(t). What is q(k)?
-7
Let r be 0 - -15 - (-6)/3. Suppose r*t - 24 = 13*t. Let m(l) = 1 - 3571*l + 1785*l - l**3 + 5*l**2 + 1790*l. Determine m(t).
-11
Let k(d) be the second derivative of -2*d**2 + 1/20*d**5 + 6 - 3*d - 5/12*d**4 + 1/2*d**3. Let y = -1 + 5. Determine k(y).
-8
Let o(q) = -q**2 - 1. Let u be 1044/(-60) + 4/10. Let p = -15 - u. Let c be p*(1/(-2) - (2 + -3)). Give o(c).
-2
Let p be 4/(-26) - 378/78. Let x(k) = k - 4. Let b(s) be the third derivative of 2*s**3/3 + 10*s**2. Let q(i) = p*x(i) - 6*b(i). Give q(4).
-24
Let u(c) = -c**2 - 6*c + 10. Let i(j) be the first derivative of j**3/3 - 5*j**2 - 7*j + 23. Let t = -74 - -84. Let z be i(t). Give u(z).
3
Suppose -4*p - p = -5*i - 105, 4*p - 69 = -i. Let o(f) = 37*f - 29*f + 0 - f**2 - 5 + 1 - p*f. Give o(-9).
5
Let o = 24 - 20. Let v be o -
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) 0.4 (b) 0.02 (c) -9/10
a
Let o = 0.03 - 5.03. Let q = 138 + -68. Let r = q - 70. What is the closest to -1/3 in r, o, 0.3?
r
Let v = -12 - -11.7. What is the closest to 0 in -2/21, v, 5, 2/9?
-2/21
Let i be 15/(-9) + ((-20)/15 - -2). What is the nearest to i in -5, 0.054, -4?
0.054
Suppose -6 = -5*g - 0*g + 2*z, 5*z + 15 = -4*g. What is the closest to -2/7 in -1/6, -3, g?
-1/6
Let m = 27.42 + -25.42. Let z = 3 + -2.76. Which is the nearest to 0.2? (a) 3 (b) z (c) m
b
Let i be 1/(-2)*(0 + 2). Suppose 0*u = 3*u. Suppose -3*d + 11*d = u. What is the nearest to i in d, -0.2, -3?
-0.2
Suppose 8*n = -21*n + 29. What is the closest to -0.1 in 0, n, 0.3, -6?
0
Let b = 1447.4 - 1447. What is the closest to 155 in -1, -1/2, b?
b
Let n = -717 + 715. Which is the closest to -0.1? (a) n (b) 0.2 (c) 0.019
c
Suppose 42*n + 4 = 46*n, 4*n - 13 = 3*k. What is the closest to -1 in -0.4, -0.01, 2, k?
-0.4
Suppose -4*j - 12 = -5*j. Let y = -23/20 - 611/60. Let w = j + y. What is the closest to 0.1 in w, -0.3, -1?
-0.3
Let g be (-1)/(3/(-12)) - 1. Let l = 3 - 3.4. Let t = 1.6 - l. Which is the closest to 0.06? (a) t (b) -3 (c) g
a
Let d be (3/5)/(66/44). Which is the closest to d? (a) -1/5 (b) 4/7 (c) 0
b
Let z be 5*2*(-7)/(-35) - (3 - 4). Let m = -0.09 + 4.09. Which is the nearest to -1? (a) z (b) m (c) -2
c
Let t = 23.46 - 23.56. Which is the nearest to t? (a) -6 (b) 0 (c) -3 (d) -4
b
Let o be ((-15)/((-225)/(-12)))/4. Let r = 14 - 18. Which is the nearest to -0.05? (a) o (b) r (c) 5
a
Let k = -1 + 1.5. Let p = -0.301 + 0.031. Let t = p + 0.07. Which is the closest to 0? (a) k (b) t (c) -3/4
b
Let h(k) = -2*k - 9. Let s be h(-7). Let p = 1/7 + -12/35. Let d be (0/(-3) - 1)*-1. Which is the closest to p? (a) 0.2 (b) d (c) s
a
Let x be ((-10)/(-8)*(-30)/25)/(-3). Let d = -5.06 + 0.06. What is the nearest to x in d, 0.4, -3/4?
0.4
Let x = 354.7 + -355. Which is the closest to 0.58? (a) -4 (b) x (c) -3
b
Let j = -29.1 - 4.9. Let t = 38 + j. Let i be (-5)/7 - (-2)/(-7). Which is the closest to i? (a) 0.2 (b) t (c) 0
c
Let c = -0.4 + -0.6. Let o = 257/2 + -129. What is the nearest to -1 in c, o, -3?
c
Let g be 36/(-30) - ((-44)/(-30) + -3). Let i = 0.2 + -0.4. What is the nearest to g in 1, i, 0.1?
0.1
Let u(y) = y**3 - 2*y**2 + 3*y - 4. Let p be u(3). Suppose 39 = -5*l + p. Let q = 16 + -16. Which is the nearest to 2? (a) l (b) 0.1 (c) q
b
Let s = -0.538 - -1.038. Which is the closest to -0.2? (a) s (b) 1 (c) 14
a
Let a = -0.4 - -13.9. Let i = a + -14. What is the closest to -1/3 in 4, -12, i?
i
Let r be 1/2 + (-44)/90. Let u = 19/90 - r. What is the closest to u in 0, -1, -0.4?
0
Let v be (-2)/((-116)/(-8) + (-12)/(-8)). Let x = 1.6 + 5.4. What is the closest to -1 in v, x, -3?
v
Let n = 345.4 - 346. Which is the closest to -1? (a) -0.2 (b) n (c) 4/5
b
Let y = -867 - -864. Which is the nearest to 3/4? (a) 0.5 (b) -0.02 (c) y (d) -2
a
Let g = 154.3 + -149.3. What is the closest to -3 in g, 3, -10, -2?
-2
Let b be 2/(-7) - 6/(-14). Let h = 29.8 - 30. Let z = -42 + 44. What is the closest to 2 in z, h, b?
z
Let h be 2 + 91/(-40) + 32/(-320). What is the closest to -1/8 in -5, h, -2/7?
-2/7
Let z = -10.43 - -9.43. What is the nearest to z in -4, -1/2, 2.2, -2/9?
-1/2
Let u = 84 - 422/5. Let z = -166.9 - -175. Let p = -8 + z. What is the nearest to p in -2/15, u, 0.1?
0.1
Let i = -1700 + 1700.04. What is the nearest to -1 in i, 0.2, 1, -1?
-1
Let t = 21.2 + -22.2. Which is the nearest to -0.2? (a) -4 (b) -1/3 (c) -2/7 (d) t
c
Let h = 55/57 + -12/19. Let x = 18 + -12. Let u be x/(-17)*3/(-9). What is the closest to h in u, -4, 1/3?
1/3
Let m = 124.4 - 124. What is the nearest to 1 in m, -0.1, 5?
m
Let u = 371 - 367. Which is the closest to 0.1? (a) 0 (b) -0.8 (c) -3 (d) u
a
Let o = -13944 - -13878.97. Let l = -65 - o. What is the closest to 0 in l, 0.4, 0.3?
l
Let p = -3.56 + 4. Let y = 0.06 + p. Let r = 16.8 + -17. Which is the closest to 2/3? (a) y (b) -2/7 (c) r
a
Let x = -3 - -3.3. Let u = -0.20508 - -0.23508. Which is the nearest to 0.3? (a) u (b) 4 (c) x
c
Let a = -18 + 18. Suppose a = -3*k - 27 - 9. What is the nearest to 0 in k, -4/5, 5?
-4/5
Let o = 1223.4 - 1384. Let z = -161 - o. What is the nearest to -1 in 2, 0.7, z?
z
Let g = -0.038 + -0.502. Let o = 0.34 + g. What is the nearest to -1/3 in -4, 0.1, o?
o
Let i be (-2)/(-3)*(-435)/58. Let f be -1*((-10)/6)/5. Let o = 1 - 0. Which is the closest to o? (a) 5 (b) f (c) i
b
Let m = 53/4 + -13. Let a = 10.85 + -11.15. What is the closest to -1 in 4, a, m?
a
Suppose -6 = -0*j + j. Let l = -2 - j. Suppose u = 2*u - r - 3, -3*r - 23 = l*u. What is the nearest to -1/3 in -4/5, u, -1/4?
-1/4
Let s = -7/157 + -338/2983. Which is the nearest to -1/4? (a) -5 (b) s (c) -4 (d) 5
b
Suppose 0 = -3*s - s + 20. Suppose 4*x = -5*p + 39, 0*x + 5*p = -2*x + 27. Let l = s - x. What is the closest to l in -4, -0.2, -5?
-0.2
Let r be 16/(-10)*(-2)/(-4). Suppose -3 = -y - 0. Let q = -4.5 - -9.5. What is the closest to y in q, r, 3/5?
q
Let c = -34/921 - -2831/1842. Let q = -8 + 6. What is the closest to q in 0.5, c, -3?
-3
Let l = 273 + -272.42. What is the closest to 3 in -5/6, l, 4, -0.1?
4
Suppose 4*o + i + 4 = -17, 2*i + 26 = -4*o. Let r = 68 - 343/5. Which is the nearest to r? (a) 1 (b) o (c) -0.2
c
Let f = 0.12 + -1. Let u = 1 + f. What is the nearest to -2/5 in -1, 6/11, u?
u
Let s = -1868/3105 - -1/621. What is the closest to 2 in -4/33, -0.2, s?
-4/33
Let i be (7 - (-60)/(-24))*(-4)/(-21). Suppose -4*s = -3*s + 1. Let m be (s/(-4) - 1) + 1. Which is the closest to 0? (a) i (b) 2 (c) m
c
Let o = -275 + 279. Which is the closest to -3/2? (a) -3/2 (b) o (c) 0.2
a
Let p = 7.38 + -7.24. Which is the closest to 1? (a) 4/7 (b) p (c) 4 (d) 2
a
Let k = -240 + 238.5. Which is the nearest to 1? (a) 2/7 (b) 2/13 (c) k
a
Let o be 135/30 - (-10)/(-2). Which is the closest to -2? (a) 3/4 (b) 2 (c) o
c
Suppose 4*d - 13 = -5*r, 12*d + 19 = 14*d + 5*r. Let z = -4.4 - -0.4. Which is the closest to 4? (a) d (b) -1/2 (c) z
b
Let q = 0.48 + -0.09. Let h = q + -0.69. What is the closest to -1 in 2/5, -13, h?
h
Let x = -17 - -5. Let u = 12.28 + x. Let s = u - 0.38. Which is the nearest to s? (a) 4 (b) 2 (c) -1
c
Let w = 5.7 - 17.2. Let m = w + 12. Suppose 2*l = 2 - 0. What is the nearest to l in m, 2/17, 3?
m
Let z be (15/(-5))/(-2*1/2). Let u be (8 - 4 - z) + 11/(-7). Which is the nearest to -1? (a) -0.3 (b) 2/19 (c) u
c
Let s be 58/(-14) - (-43)/301. Which is the nearest to 2/7? (a) s (b) 2/13 (c) -1
b
Let p(w) = -55*w + 220. Let x be p(4). What is the closest to x in 42, -0.3, 2/5?
-0.3
Let y = -0.24 + 0.34. Let l = 114 + -107. Which is the closest to y? (a) -2 (b) l (c) -0.5
c
Let j = -976 - -976. Let u = 1.6 - 1.5. Which is the nearest to u? (a) j (b) -4 (c) -5
a
Let i = 28.4 - 26. Let p = 2.46 - i. What is the nearest to p in 1/2, 3, 1?
1/2
Let u = 0.9 - 0.6. What is the nearest to 3 in -1, 2, u?
2
Suppose -2*k + 5*q + 16 = 0, 0 = 4*k + 4*q + q + 28. Let h = -6 + 4. Let j be h*5/(-80)*2. What is the closest to k in j, -0.2, -0.1?
-0.2
Let c be (27/63)/((-40)/14)*4. Let d = -5.01 - -0.01. What is the closest to 0.6 in d, c, 0?
0
Suppose 1 - 43 = -4*j - 3*r, -6 = 3*r. Let b be (3/j)/(-1) - 3/(-28). What is the nearest to 1 in 2, 0.2, b?
0.2
Let r = 11.2 - 11.1. Let m = 30 - 29.6. Let x = -3.1 + 0.1. Which is the nearest to r? (a) 0.1 (b) m (c) x
a
Let w be (-37 - 1)*(0 + -1)/2. Suppose -11*i + w = 8. Let k be (-5)/1*(-4)/10. What is the closest to 1/3 in k, -2/11, i?
-2/11
Let d(k) = 5*k + 2. Let y be d(2). Let v be -2 + 1 + y/14. Let z = 199 - 198.9. What is the closest to z in -1/3, -1/4, v?
v
Let i = -117/535 - -2/107. Let z = -3230.4 - -3230. What is the closest to i in -4, z, 2/11?
z
Let m = -33 + 65/2. Suppose 22*o = 10*o - 252. Let p be o*(-1)/9 + -2. What is the closest to m in 0.4, p, 4/5?
p
Let g = -3492 - -17277/5. Let n = -37 - g. Let i be (5/(-3))/(8 - (-300)/(-36)). Which is the nearest to 2/13? (a) i (b) n (c) 2
b
Suppose -5*i = -6*i + 4*i. What is the nearest to i in -2/9, 2/7, 0.1?
0.1
Let t = 8905/29 + -307. What is the nearest to -3 in -1/4, -1/2, t?
-1/2
Let u = 1078 + -5387/5. Which is the nearest to 0.1?
|
{
"pile_set_name": "DM Mathematics"
}
|
k?
694441320*k - 48
What is the derivative of 232844*h**3*n**3 - 39*h**2*n**3 + 20579997*n**3 wrt h?
698532*h**2*n**3 - 78*h*n**3
What is the third derivative of 3*w**6 - 2031660*w**3 - 2*w**2 - 4*w - 144331?
360*w**3 - 12189960
What is the third derivative of -958*j**3*n**2*r - 114233*j**3*n**2 + 2*j**2*n + 47*j**2*r + 9*j*r - 23*n**2 - 50*n wrt j?
-5748*n**2*r - 685398*n**2
What is the second derivative of -158*b**3 - 78604*b**2*l**3 + b*l + 58210*l**3 + 13 wrt b?
-948*b - 157208*l**3
Find the third derivative of 59*o**3*s + 98561*o**3 - 91265*o**2 - 3*o*s - 331*s wrt o.
354*s + 591366
What is the second derivative of 499*i**3*t + 4*i**3 + 90*i**2*t + i**2 + 4*i*t - 32933*i - t - 11 wrt i?
2994*i*t + 24*i + 180*t + 2
What is the third derivative of 5791968*v**3 - 19491*v**2 + 56?
34751808
Differentiate -162*v**3 - 21462*v - 987567897 wrt v.
-486*v**2 - 21462
Differentiate 9942690*f - 15046612 with respect to f.
9942690
Find the first derivative of -562534408*m - 404783980.
-562534408
What is the first derivative of -2*h**2*u + 189*h*i*u + 744164*h*u - 13782*i*u - 2*i - 1615*u wrt h?
-4*h*u + 189*i*u + 744164*u
What is the derivative of 21671762*i + 919763 wrt i?
21671762
What is the first derivative of -109879138*k**3 + 47777044 wrt k?
-329637414*k**2
What is the derivative of -36610273*b**4*r - b**2*r + 1093*r + 6459 wrt b?
-146441092*b**3*r - 2*b*r
What is the second derivative of 706*m**3 + 12534*m**2 + 10603282*m?
4236*m + 25068
Find the third derivative of 8*d*h**3 - 105*d*h*i**2*z - 2*d*h*i**2 - 4*h**3*i**2 - 500318*h**3*z + 20*h**2*i**2*z - 2440*h*i**2*z wrt h.
48*d - 24*i**2 - 3001908*z
What is the first derivative of -6158571*p**2 + 2001959?
-12317142*p
Find the first derivative of -67828*i**3*v + 53344391*i**3 + 157*v wrt v.
-67828*i**3 + 157
Find the second derivative of -29587570*j**2 + 64*j - 165677 wrt j.
-59175140
Find the first derivative of -11671585*u**2 - 10549799 wrt u.
-23343170*u
Differentiate -2363*d**4 + 2969*d**3 + 26206269.
-9452*d**3 + 8907*d**2
Find the third derivative of -2*c**3*h**3*i**2 - c**3*h**3*i - 4899*c**3*h*i + 33171168*c**3*i**3 - 106*c**3*i - c*h**3*i**2 + h**3*i**3 wrt i.
199027008*c**3 + 6*h**3
What is the second derivative of t**3*u**2 + 4*t**3*u + 5392*t**3 + 2*t**2*u + 1388*t*u**2 - 45*t*u + 5*t + 8274*u**2 - 2*u wrt u?
2*t**3 + 2776*t + 16548
What is the second derivative of -5034*j**5 + 741*j**3 - 288237*j + 11 wrt j?
-100680*j**3 + 4446*j
Differentiate 128596144*l*x**4 + l + 28204172 with respect to x.
514384576*l*x**3
What is the second derivative of 95*j**4 - 4*j**3 + 1606*j**2 - 7389191*j wrt j?
1140*j**2 - 24*j + 3212
What is the third derivative of 5*f**3*q**2 - 5028*f**3*q + 52*f**3 + 55826676*f**2*q**2 wrt f?
30*q**2 - 30168*q + 312
What is the derivative of 14876*f**2*h*n - 5*f**2*h + 105193*f**2 - 8*f*h + 1460*h*n**2 + 3*h + 4 wrt n?
14876*f**2*h + 2920*h*n
What is the second derivative of -1083*d**3*z**2 + 24*d**3*z - 2*d**3 + 2*d**2*z**2 + 449*d**2*z + 2*d*z**2 - z**2 - 26*z wrt z?
-2166*d**3 + 4*d**2 + 4*d - 2
What is the second derivative of 70*b**3 + 131626*b**2 + 168*b + 28287 wrt b?
420*b + 263252
What is the derivative of 20403*j**3 + 233*j**2 + 34709633 wrt j?
61209*j**2 + 466*j
What is the derivative of -19356788*m*u + 36*m - 3*u + 50545 wrt u?
-19356788*m - 3
What is the derivative of -7184*c**2*d - c**2 + 1874*c - 54*d + 30 wrt d?
-7184*c**2 - 54
What is the second derivative of 58373304*r**4 - 59792980*r?
700479648*r**2
Find the third derivative of -2*p**3*w*y + 46876302*p**3*w - 22*p**2*w*y + 419*p**2*w + 38*p**2*y - p*y - 2*w wrt p.
-12*w*y + 281257812*w
What is the third derivative of 219*l**3*q*w**3 + 195739*l**3*q*w**2 + 22*l**2*q*w**3 - 2*l**2*q*w**2 + 117118*l*q*w**2 wrt l?
1314*q*w**3 + 1174434*q*w**2
What is the second derivative of 65283*q**2*u**3 - 7*q**2*u**2 + 4*q**2 + 34*q*u**3 + q*u**2 + 3378*q + 2*u - 10 wrt q?
130566*u**3 - 14*u**2 + 8
Differentiate -24*x**2 - 1300815*x + 155853308 with respect to x.
-48*x - 1300815
What is the third derivative of -2*o**5 - 123*o**4 + 772*o**3*v - 5*o**2*v + 2*o**2 - o*v - 14*v - 1 wrt o?
-120*o**2 - 2952*o + 4632*v
Find the third derivative of 7868954*f**3*h + 66*f**2*h + 2*f**2 + 60*f*h - 7*f wrt f.
47213724*h
What is the derivative of -302032140*t - 316864847 wrt t?
-302032140
What is the third derivative of 3097*w**3*y**4 - 89*w**3*y**2 + 2*w**2*y**2 - 220063*w**2*y - 2*w**2 - 615*y**5 wrt y?
74328*w**3*y - 36900*y**2
Find the first derivative of 160302892*j*u**2 + 736067191*j + 2*u**2 wrt u.
320605784*j*u + 4*u
Find the first derivative of -r**3 + 545172*r**2 - 11145214.
-3*r**2 + 1090344*r
What is the derivative of -107*v*x**2 - 86292*v*x + v - 1598510*x**2 + x + 3 wrt v?
-107*x**2 - 86292*x + 1
Find the second derivative of 16043055*g**4 + 3*g**3 + 65119099*g - 1 wrt g.
192516660*g**2 + 18*g
What is the derivative of 4268875*y**2*z**2 + 3*y**2*z + 207*y**2 - 9331 wrt z?
8537750*y**2*z + 3*y**2
Find the first derivative of -3*l*n*u*z + 897*l*n*z - 1140*l*u**2 + n*u**2*z + 37*n*u**2 + 20764*n*u wrt l.
-3*n*u*z + 897*n*z - 1140*u**2
What is the derivative of -6472*k**4 + 17*k**2 - 60*k + 119684329 wrt k?
-25888*k**3 + 34*k - 60
Find the first derivative of 630*o*x**3 + 383846*o*x + 34*x**3 - 247756 wrt o.
630*x**3 + 383846*x
What is the second derivative of -5234023*r**2*u**2 - 5*r**2*u - 29*r**2 - 9*u**4 + 602424*u wrt u?
-10468046*r**2 - 108*u**2
What is the first derivative of 32*a**4 - 81564*a - 62336895?
128*a**3 - 81564
What is the third derivative of -5*f**5*n - 1024601*f**4*n + 23*f**2*n + 80*f - 2*n wrt f?
-300*f**2*n - 24590424*f*n
Differentiate -480655*n**2 + 9921520.
-961310*n
Differentiate 2*m**2*v*w + 2*m**2*v - 6*m*v - 71*m - 1654999*v*w + 3*w + 167 with respect to w.
2*m**2*v - 1654999*v + 3
Find the third derivative of -100665439*n**5 + 138*n**2 + 261714*n wrt n.
-6039926340*n**2
Differentiate -77889208*c**3*u + 3*c**3 + 744*c**2 - 2*c + 637 wrt u.
-77889208*c**3
What is the derivative of 36699590*n**2 - 40773860 wrt n?
73399180*n
What is the second derivative of -10*j**5 - 5504889*j**4 - 49899837*j wrt j?
-200*j**3 - 66058668*j**2
Find the third derivative of 53*l**5 + 3*l**4 - 99*l**3 + 172*l**2 - 543*l + 2.
3180*l**2 + 72*l - 594
Find the third derivative of 750*h**4 - 3340*h**3 - 2305*h**2 + 721*h wrt h.
18000*h - 20040
What is the first derivative of -17034259*o**4 - 11270820?
-68137036*o**3
Find the third derivative of 891365617*x**3 - 24*x**2 - x + 168134 wrt x.
5348193702
Find the second derivative of -24064072*y**2 + 17063521*y wrt y.
-48128144
Find the second derivative of 932035*y**3 + 41*y**2 + 264*y + 72176 wrt y.
5592210*y + 82
Differentiate 7700673*s**3 + 41070844 with respect to s.
23102019*s**2
Find the second derivative of -18725287*k**2 - 12501021*k wrt k.
-37450574
What is the third derivative of -149062*a**5 - a**4 - a**3 + 359572*a**2 + 50*a + 3 wrt a?
-8943720*a**2 - 24*a - 6
What is the third derivative of 44740938*q**3 - 31*q**2 - 6*q - 37848?
268445628
Find the third derivative of -59289583*d**4*r**3 - d**3*r**3 - 2*d**2*r**3 + 1834*d**2*r**2 + 4805*d**2*r wrt d.
-1422949992*d*r**3 - 6*r**3
What is the derivative of -6524226*p**3 + 8802198 wrt p?
-19572678*p**2
Find the first derivative of 417608091*c + 113624764 wrt c.
417608091
Find the second derivative of -3269617*q**5 - 29*q**2 - 30392044*q.
-65392340*q**3 - 58
Find the third derivative of -627*d**6 - 62*d**5 - 19*d**3 - 91835*d**2 + 39 wrt d.
-75240*d**3 - 3720*d**2 - 114
Differentiate 150151696*y**4 - 4*y**2 + 129236672 wrt y.
600606784*y**3 - 8*y
Differentiate -2*a**3 - 570*a**2*t*w - 545*a*t*w - 640113*t*w - 4*w wrt a.
-6*a**2 - 1140*a*t*w - 545*t*w
What is the third derivative of 222355009*l**3 - 4096*l**2 + 29283?
1334130054
Find the third derivative of -121*y**6 - 3115*y**4 + 40*y**3 + 83060230*y**2 - 2*y.
-14520*y**3 - 74760*y + 240
Find the third derivative of -657680746*z**6 + 5976498*z**2 - 2 wrt z.
-78921689520*z**3
Find the second derivative of 527299002*v**5 + 979976633*v.
10545980040*v**3
What is the second derivative of -171210*p**4 + 1636*p**3 - 1170143774*p wrt p?
-2054520*p**2 + 9816*p
Find the first derivative of 464055595*k - 218002324.
464055595
Find the second derivative of -7*b**2*g**4 + 8178
|
{
"pile_set_name": "DM Mathematics"
}
|
ich is the closest to 1? (a) -0.4 (b) -5/4 (c) -0.0373
c
What is the nearest to 2.6 in 3, 0.5, 0.079, -0.3?
3
What is the closest to 6 in 0.4, -0.49, 11/6, 2/23?
11/6
Which is the closest to -0.012? (a) -0.3 (b) 20 (c) 0.5 (d) -2
a
What is the closest to -2/7 in 6, 76, 15/2?
6
What is the closest to 5/4 in -17/4, -4/5, 1, 0.4?
1
What is the closest to -2 in 15, -0.4, 0, 5/24?
-0.4
What is the closest to -1 in -4/289, 0.264, -1/4?
-1/4
What is the nearest to -12 in -1/67, 1/16, 4, -2?
-2
Which is the closest to 14? (a) 5 (b) 167 (c) -6
a
Which is the closest to 180? (a) 0.5 (b) 3/152 (c) 0.4
a
Which is the nearest to 0.4? (a) 0.1 (b) -388 (c) -2/15 (d) 0.3
d
What is the closest to -1 in 2, -212, 2/5, 1?
2/5
What is the nearest to -5 in -1/30, -2, -1/3, 0?
-2
Which is the closest to -107/4? (a) 0.3 (b) 87 (c) -0.5
c
What is the closest to -1/4 in 78, -4/7, 4, -5?
-4/7
What is the nearest to -0.2 in -2/713, 2, 3/7?
-2/713
What is the nearest to -1 in -2/423, -0.4, 5, 4?
-0.4
Which is the closest to -715? (a) 0.2 (b) 1 (c) -3 (d) -2/57
c
What is the closest to -17 in 0, -3, -22?
-22
Which is the nearest to 16/3? (a) -35/3 (b) 3 (c) -0.5
b
What is the closest to -2/7 in -9, -4, -1.37, 0.4?
0.4
Which is the nearest to -0.2? (a) 2 (b) 1090/3 (c) -2/11
c
What is the nearest to 10 in 4/7, 14, 54, 1, 4?
14
Which is the closest to 1/2? (a) 0 (b) 5 (c) -10 (d) -1 (e) -22.6
a
Which is the nearest to 8? (a) -0.03 (b) 1.3 (c) 23 (d) 0.5
b
Which is the closest to 3? (a) 36 (b) -3 (c) 0
c
What is the closest to 7/5 in 0.4, -17, 0.77?
0.77
Which is the nearest to -3? (a) 4 (b) 9 (c) -0.36 (d) -2 (e) 2
d
Which is the nearest to 5? (a) -3/5 (b) -2 (c) -0.5 (d) 5 (e) -19/6
d
What is the nearest to 3 in 0.077, 20, 0, -3?
0.077
Which is the closest to -0.2? (a) -0.5 (b) 6 (c) 2295/2
a
What is the closest to 5 in -2/3, 9, 7, 2?
7
Which is the closest to 0.08? (a) -182 (b) -0.1 (c) 16
b
What is the nearest to 0 in -6.5, -6/29, -4?
-6/29
Which is the nearest to -0.01? (a) -4 (b) 2/11 (c) -71
b
What is the nearest to -2/5 in 0.2, -183, 1, -2?
0.2
What is the closest to -3/2 in 5/4, -5, 266?
5/4
What is the nearest to 2/5 in -651, -1/5, -3/41?
-3/41
What is the closest to -2 in 6, 62/23, 5/16?
5/16
Which is the closest to 1? (a) 8 (b) -3/5 (c) -5 (d) 4 (e) -0.8
b
Which is the closest to -88? (a) 5 (b) 0.5 (c) -833/5
c
What is the nearest to 0.0807 in 0.03, -5, 3, 0.2, -2?
0.03
What is the nearest to 2/1097 in -0.4, -0.2, -13?
-0.2
What is the nearest to -2/3 in -0.3, -444, 4?
-0.3
What is the closest to 0.1 in -331, 4/5, -87, 5?
4/5
Which is the nearest to 0.5? (a) 7/3 (b) -3 (c) 0.07 (d) 1
c
Which is the nearest to -41.11? (a) 0.5 (b) -0.1 (c) 2/11 (d) -2/5
d
Which is the nearest to -6? (a) 2 (b) -1/3 (c) -5 (d) -1 (e) 0.3
c
Which is the nearest to -1/716? (a) -4/7 (b) -1/4 (c) -32 (d) 2/13 (e) 0.4
d
What is the closest to 0 in 5, -2976, 0.1, 0.3?
0.1
What is the nearest to 0 in -15, -0.3, -12/7, -4?
-0.3
What is the nearest to 0.2 in 0.05, -824, 0.07?
0.07
What is the closest to -14 in -2, 4/3, -3, 0.5, 34?
-3
What is the nearest to 1/4 in -12, 0.2, 2, 0.12, 4?
0.2
Which is the closest to -2/5? (a) 323/5 (b) -35 (c) 2/7
c
Which is the closest to 253049? (a) -2/15 (b) -1/7 (c) -1
a
Which is the nearest to -245? (a) -1/16 (b) -5 (c) 0.2 (d) 18
b
Which is the nearest to 2/7? (a) 3/5 (b) 28 (c) -5 (d) -0.01 (e) 8
d
What is the closest to 37 in 5, 7/3, 1, -7?
5
Which is the closest to 29? (a) 0.2 (b) -0.434 (c) -2/9
a
What is the nearest to -1.63 in 4, -3, -2/5, 1?
-2/5
What is the closest to -0.003 in -0.1, -0.5, -6652?
-0.1
Which is the nearest to 2? (a) -3/2 (b) 3 (c) 2 (d) 13.3
c
Which is the closest to -2? (a) -5 (b) 16/3641 (c) -4
c
What is the closest to -2 in 5, -12/11, -0.3, 22.2, 0?
-12/11
What is the closest to 0.07 in 0, -5, 35?
0
What is the closest to -23 in -0.05, -58, -3/13?
-3/13
Which is the closest to -0.3? (a) -10 (b) -81 (c) -2/7 (d) 0.5 (e) 1
c
What is the closest to 0.4 in 14, -2/3, -54/37?
-2/3
Which is the nearest to -1.886? (a) -2/9 (b) 1/6 (c) -23
a
Which is the closest to 2/3? (a) 2/9 (b) -1/737 (c) -4 (d) -5
a
Which is the nearest to 28346? (a) -0.2 (b) -2 (c) -6
a
What is the nearest to -27/25 in 3/4, -2/11, -4.5, -0.4?
-0.4
Which is the closest to 1302? (a) 4 (b) 0 (c) 11/2
c
Which is the nearest to 2? (a) -2/31 (b) 2 (c) -5/37
b
What is the nearest to 1/134 in 1/4, -1, -4?
1/4
Which is the nearest to -0.04? (a) 1/4 (b) -3 (c) 3 (d) -3/17 (e) 2/5
d
What is the closest to -2.8 in -14, -1, 0, -38?
-1
Which is the closest to -72? (a) 1/3 (b) 0.4 (c) 174
a
Which is the closest to 0.2? (a) 47/6 (b) 2/23 (c) 3 (d) 5
b
Which is the nearest to -0.24? (a) -0.0398 (b) 12 (c) 2/9 (d) 4
a
What is the nearest to 2 in -0.234, 9/8, 2/5?
9/8
What is the closest to 9 in -3/5, -5, 2, 1/5, 1.997?
2
What is the nearest to 0.04 in -145, 38, 3?
3
What is the closest to -9 in 3, -16, -0.5, 3/4?
-16
What is the nearest to -3/7 in 2/447, 3, 0.4, 1, -0.5?
-0.5
What is the nearest to -1 in 1/6, 4, -4, 253?
1/6
What is the closest to -7 in 0.5, 2, 2/3, -1/13?
-1/13
Which is the closest to 5.4? (a) 13 (b) -2/5 (c) -1/2 (d) 1/23
d
Which is the closest to 12/7? (a) -1/2 (b) 3 (c) 128
b
Which is the closest to -2? (a) 0.1 (b) 4/3 (c) 0.2 (d) 0.179 (e) 12
a
What is the nearest to -1/4 in -12856, -2/3, 1?
-2/3
Which is the nearest to 1? (a) -5 (b) 49 (c) -0.9
c
What is the closest to -3.1 in -2/13, -0.1, -0.4, 0.1, 0.8?
-0.4
Which is the nearest to -0.15? (a) 3 (b) 1 (c) -2 (d) -0.5 (e) -43
d
Which is the closest to 7? (a) -1/10 (b) -66 (c) -16
a
What is the nearest to 26 in -3/7, -2/3, 18?
18
What is the nearest to 0.1 in 1199.5, 0, -1, 6/11?
0
Which is the nearest to -0.4? (a) 42 (b) 3/121 (c) -0.3
c
Which is the closest to -2/15? (a) -39/59 (b) -5 (c) -1/4 (d) 0.4
c
What is the nearest to -1/3 in -2/3, -108, 1/3, -32?
-2/3
What is the nearest to -1 in -0.099, -0.23, -0.02, -1?
-1
What is the nearest to -0.1 in 13, 5, -0.1, 101, 10?
-0.1
Which is the nearest to 3? (a) -5329 (b) -2/9 (c) 2
c
Which is the closest to 4? (a) 0.577 (b) 1 (c) -23/3
b
Which is the closest to -0.12? (a) 2 (b) 3 (c) -35 (d) 0.01
d
What is the nearest to 12 in -2/11, -1/2, 1, 16/13, 0.5?
16/13
Which is the nearest to -1.7? (a) 1/9 (b) 4 (c) 0 (d) -12
c
What is the closest to -3 in -2, 3, 0.4, 1, 0.021?
-2
What is the nearest to -24 in -5, -4, 0.2611?
-5
Which is the closest to -11/9? (a) 0.14 (b) 11 (c) 5 (d) -1
d
What is the closest to -1/5 in 0.1, -4/7, 0, -11?
0
Which is the closest to -1/5? (a) -7 (b) -2/13 (c) -3/29 (d) 0.13
b
What is the nearest to -1 in -346, -1, -2, 27, 1/4?
-1
Which is the nearest to 30? (a) 1/7 (b) 2/13 (c) -2/15
b
What is the closest to 1/4 in 84, 0.5, -0.1, -0.25?
0.5
Which is the closest to -2/3? (a) -42 (b) -18/7 (c) 5/8 (d) -2/5 (e) -3
d
What is the nearest to -2/37 in 1/2, 0, -19/10, -5/3?
0
What is the closest to 0 in -1/109, 47/5, -5, -7?
-1/109
Which is the nearest to -0.6? (a) 336 (b) 8 (c) 2
c
What is the nearest to -1/4 in 1, 88, -1, 4/29, -2/15?
-2/15
Which is the nearest to -6? (a) -10 (b) 3 (c) 0.2
a
What is the nearest to -7/3 in -5, 2, -68.46?
-5
Which is the closest to -7? (a) -0.4 (b) -4 (c) -1 (d) 407 (e) 1/3
b
What is the closest to -7 in -1/5, -22.57, -2/17?
-1/5
What is the nearest to 1/4 in 797/17, 0, -3, 8?
0
Which is the closest to 0.11? (a) 3 (b) 0.826 (c) -5
b
Which is the closest to -1? (a) -3 (b) -0.04 (c) 0.08 (d) -1.34
d
What is the closest to 1.83 in 4/5, -3, -5, 352?
4/5
What is the closest to -242 in 0.4, 0.5, 1, -4?
-4
Which is the closest to -1? (a) -5 (b) 764/3 (c) -31 (d) 2
d
Which is the nearest to 0.048? (a) -2 (b) -1 (c) -1/2 (d) 2/13
d
Which is the nearest to 96? (a) -3/2 (b) -2 (c) 0.2 (d) -214 (e) -4/3
c
What is the closest to 0.1 in 2, 3163/5, -0.5?
-0.5
Which is the closest to -29? (a) 3/4 (b) -0.5 (c) -6 (d) -1
c
What is the closest to -94 in 2/45, 0.6, 0, -5/2?
-5/2
What is the closest to -0.1 in -2/1803, 15, 0.4, 0.1?
-2/1803
What is the closest to 0 in -0.1, -1/6, 0.46, 994?
-0.1
|
{
"pile_set_name": "DM Mathematics"
}
|
What is s rounded to six dps?
-0.000012
Let w = 10.95 - 10.94998017. Round w to 6 decimal places.
0.00002
Let i(x) = 255*x**3 + 3*x**2 + 4*x + 20. Let a be i(-5). Let s be 240/(1/(-1) - 31782/a). What is s rounded to the nearest ten thousand?
-420000
Let j = -43200 + 43200.0959525. Let x = -0.096 + j. What is x rounded to five dps?
-0.00005
Let w = 1208403220.53915088 + 354023249.86084739. Let s = -1562426482 + w. Let f = s + 11.6. Round f to seven dps.
-0.0000017
Let g = 13741.07 + -13658. What is g rounded to the nearest integer?
83
Let o = 0.031 + 0.043. Let c = -39.03 + 39.118. Let s = c - o. What is s rounded to three dps?
0.014
Suppose 11*f - 16*f - 1123315 = 0. Let a = -564663 - f. What is a rounded to the nearest one hundred thousand?
-300000
Let p = -54954883.7959 - -54959780. Let g = -4896 + p. Let s = -0.191 + g. What is s rounded to 3 decimal places?
0.013
Let j = 111 - 21. Let n = 103.551794 - 13.553324. Let f = n - j. Round f to 3 dps.
-0.002
Let u = -24.015 - -48.384. What is u rounded to one decimal place?
24.4
Let y be -1 - 43 - (-1)/(-1 - -2). Let o = y + 46. Suppose -o*c + 609 = 4*c. What is c rounded to the nearest 10?
90
Let f be (-18680003)/2*-6*(-16)/(-24). Suppose -3*z = 2*a - f, a - 4*z + 56040008 = 4*a. What is a rounded to the nearest 1000000?
19000000
Let t = 96270.582000896 - 96270.2. Let n = 0.382 - t. What is n rounded to 7 decimal places?
-0.0000009
Let t(p) = 2*p**2 + 15*p - 4. Let c be t(-8). Let g be -29239999 + (-9 - -5)/c. Round g to the nearest 1000000.
-29000000
Let u = -25424 - -13020. What is u rounded to the nearest 1000?
-12000
Let m be 700/10*(-4380)/(-14). Let k be m*13/((-273)/70). Round k to the nearest ten thousand.
-70000
Let i(g) = -19359*g**2 - 41*g - 692. Let u be i(-28). What is u rounded to the nearest 1000000?
-15000000
Let n = -20787273 - -20787273.43000062. Let q = 0.35 + -0.78. Let i = q + n. Round i to 7 decimal places.
0.0000006
Let g = -0.3 + 2.5. Let t = -8.3 + g. Let f = t - -11.5. What is f rounded to zero dps?
5
Let f = 28.19327 - -3.68583. Round f to the nearest integer.
32
Let n = 5741.81 - 5595. What is n rounded to 0 decimal places?
147
Suppose 140*c + 1763493 - 1188244 = -10281191. Round c to the nearest 1000.
-78000
Suppose 0 = -x - 4*g - 50731, -4*g = -3*x - 6*g - 152143. What is x rounded to the nearest one thousand?
-51000
Let p = -22.39 - -227.45. Round p to the nearest one hundred.
200
Suppose -24*r = -27*r + 114. Let h = r - 35. Suppose -h*f = -7*f + 13200000. What is f rounded to the nearest 1000000?
3000000
Let l = 45801 - 45823.297. Let d = -0.397 - l. Round d to zero dps.
22
Let w = -26946 - -26493.64. What is w rounded to the nearest ten?
-450
Let u = -85 - -85.086. Let m = -0.0749 + u. What is m rounded to 3 decimal places?
0.011
Let n be (-2 + 1)/((-7)/63705243). Suppose t - 3*g - n = 10419260, 9 = -3*g. What is t rounded to the nearest one million?
20000000
Suppose 2*g - 3*a = 7950 - 476, 0 = -4*g - 4*a + 14968. Round g to the nearest 1000.
4000
Suppose m - 4*t + 208 = 5*m, 139 = 2*m - 5*t. Let a = m + -55. Suppose a*j - 72006 = n + 4*n, 2*j + 71994 = -5*n. Round n to the nearest 1000.
-14000
Let m = 76349.966617 - 76350. What is m rounded to two dps?
-0.03
Let p be 30/(6 + (-34647)/5775). Suppose 6*q - 17*q = -p. What is q rounded to the nearest one thousand?
5000
Let s = -4229.0000033 - -4229. Round s to 7 dps.
-0.0000033
Let v = -3987.1 - -1278374.1. Let g = -1274387.00519791 + v. Let u = g - -0.0052. What is u rounded to six decimal places?
0.000002
Suppose -132*a + 203355 = -123*a. Suppose 0 = p - m - a, -3158 - 42022 = -2*p + 4*m. Round p to the nearest 1000.
23000
Let x = -11111 - -11111.079898. Round x to 4 decimal places.
0.0799
Let x(v) = 7545*v**2 - 12*v - 77. Let t be x(-11). Suppose -t = 53*w - 52*w. What is w rounded to the nearest one hundred thousand?
-900000
Let h = -946.2 - -715.61. Round h to the nearest 10.
-230
Let k = -3.59 - -20.22. Let j = k - 16.66946. What is j rounded to two dps?
-0.04
Suppose 2*z = -g + 1, 0 = -2*g + 4*z - 2 + 12. Suppose b - 2*b = g*i + 343, -3*i = -9. What is b rounded to the nearest ten?
-350
Let t = 0.844224 - 0.9001. What is t rounded to three decimal places?
-0.056
Let z = -3683 + 3682.999998326. Round z to 7 decimal places.
-0.0000017
Let w = -37445.0054 + 37450. Let q = 109 - 104. Let o = q - w. What is o rounded to three decimal places?
0.005
Let y = 2.348319 - 2.3663. Let f = y - -0.0175. What is f rounded to 4 dps?
-0.0005
Let p = 10.1954 + 3.1756. Round p to 1 dp.
13.4
Let q = 144.184 + -89.251. Round q to zero decimal places.
55
Let t = 632.08 - 626.9986. Round t to the nearest integer.
5
Let t = 161 - 159. Let d be -44*1773/6 + t. Round d to the nearest 10000.
-10000
Let m = -6856.791 + 6658.8. Let z = -198 - m. What is z rounded to 3 decimal places?
-0.009
Let g(f) = 19 + 7*f**2 - 11*f - 26 - 6*f**2. Let w be g(12). Suppose -3*j + l - 769 = 1418, -w*j - 3635 = -5*l. Round j to the nearest one hundred.
-700
Suppose -4*g + 5*x = 49 - 415, -4*x = 3*g - 290. Suppose w - g = -237. What is w rounded to the nearest 100?
-100
Let k = 0.33 - -116.67. Let a = k - 116.582. Round a to one dp.
0.4
Let m = 61 + 92. Let p = 98 + -39. Suppose -5*d - m = 4*x + p, -4*x = d + 52. Round d to the nearest 100.
0
Let b = 113.229 + 0.671. Let k = -121 + b. Let p = k - -7.09999653. Round p to seven dps.
-0.0000035
Let q(i) = -25*i - 31*i + 1466*i + 22. Let a be q(14). Suppose a + 10268 = 7*l. What is l rounded to the nearest 100?
4300
Let s(i) = 382*i**2 - 9*i - 8. Let v be s(-1). Suppose v*p = 388*p + 29000. Round p to the nearest 10000.
-10000
Let t = -22.509 + 11.103. Let g = -0.294 + t. Let q = g - -11.70161. What is q rounded to four decimal places?
0.0016
Let m = 29.49 - 1805.49. Let a = 1775.98143 + m. Round a to two decimal places.
-0.02
Let c = -240.9 - -251. Let f = c + -10.213. Round f to 1 dp.
-0.1
Let w be 6 + (-12)/(-18) + (-1)/(-3). Suppose 6*p - w*p + 7 = 0. Suppose -p*h = -10*h - 4080. Round h to the nearest one hundred.
-1400
Let k = -105 - -85. Let g be k/(-6 - -2) + -165141151. Let o = g - -104041146. What is o rounded to the nearest 1000000?
-61000000
Let u = 22626.000036726 - 22626. Round u to 7 dps.
0.0000367
Let i = 0.772 - 912.772. Let n = -911.9581 - i. Let c = -0.041900213 + n. What is c rounded to seven dps?
-0.0000002
Let x = 31.6835 - 0.5875. What is x rounded to the nearest integer?
31
Let t = 9 + 241. Let r = t - 250.0000048. Round r to 6 decimal places.
-0.000005
Let j = 285.41 - 284. Let h = j - 1.34. Round h to 2 dps.
0.07
Let n = 85.330003148 + -85.33. What is n rounded to six dps?
0.000003
Suppose 18*j = 16*j - 3*n + 22584210, -4*n = j - 11292115. Suppose -3*u = 2*u - 2039505. Suppose h = j + u. What is h rounded to the nearest 1000000?
12000000
Let o = -5 - 4. Let h = -312007 + 311998.00014. Let j = h - o. What is j rounded to 4 decimal places?
0.0001
Let y = -1197.71244 + 1197.5. What is y rounded to 3 dps?
-0.212
Let s = 37.13 + -12.57. Let g = -24 + s. Let p = g - 0.55994. Round p to 5 dps.
0.00006
Suppose v + 5*m = -2*v + 158773618, 4 = 2*m. Let l = v - 22924538. Suppose c + l = 5*r, -r - 5*c = -2*r + 5999990. Round r to the nearest one million.
6000000
Let y = 42.8 - 53.14. Let u = 10.340000901 + y. Round u to 7 dps.
0.0000009
Let d = 604.800004303 - 604.8. What is d rounded to six decimal places?
0.000004
Suppose 3*a = 2 - 8. Let v(r) = 13*r**3 - r**2 - 45*r + 38. Let q be v(-6). Let o be a/(1 + -3 + q/(-1266)). What is o rounded to the nearest one hundred?
-600
Let q = -627853 + 342493. What is q rounded to the nearest 10000?
-290000
Let z = 294253.9191974373 + -0.2450974373. Let y = -294342.67410095 + z. Let b = y + 89. What is b rounded to seven dps?
-0.000001
Let p = 8.71 + -456.71. Let o = p - -452.78. What is o rounded to one decimal place?
4.8
Let u = -260.9827 - -261. Let f = u - 0.1038. What is f rounded to two decimal places?
-0.09
Let m = -20247 + 20019.73. What is m rounded to the nearest one hundred?
-200
Let g be 8 + 537894444/(-54) - (-8)/36. What is g rounded to the nearest one million?
-10000000
Let d = 433.5 - -17816.5. Let p = d - 18251.16015. Let c = -1.16 - p. What is c rounded to 4 decimal places?
0.0002
Let s = 0.002 + 33.998. Let r = -33.999999905 + s.
|
{
"pile_set_name": "DM Mathematics"
}
|
late the remainder when 124 is divided by 12.
4
Calculate the remainder when 20336 is divided by 2259.
5
What is the remainder when 459618 is divided by 1741?
1735
What is the remainder when 3376 is divided by 3361?
15
What is the remainder when 47617 is divided by 328?
57
What is the remainder when 25405 is divided by 1?
0
Calculate the remainder when 3099 is divided by 10.
9
Calculate the remainder when 86755 is divided by 42.
25
Calculate the remainder when 30013 is divided by 3695.
453
What is the remainder when 2290 is divided by 693?
211
Calculate the remainder when 795 is divided by 371.
53
What is the remainder when 58466 is divided by 115?
46
Calculate the remainder when 255966 is divided by 6243.
3
What is the remainder when 5355 is divided by 2668?
19
What is the remainder when 48918 is divided by 5403?
291
What is the remainder when 52653 is divided by 137?
45
Calculate the remainder when 5720 is divided by 636.
632
What is the remainder when 4833 is divided by 439?
4
What is the remainder when 1396 is divided by 1129?
267
Calculate the remainder when 34207 is divided by 24.
7
Calculate the remainder when 5113 is divided by 852.
1
Calculate the remainder when 218923 is divided by 18.
7
Calculate the remainder when 4971 is divided by 93.
42
What is the remainder when 67645 is divided by 198?
127
Calculate the remainder when 253469 is divided by 51.
50
Calculate the remainder when 3047 is divided by 40.
7
Calculate the remainder when 21621 is divided by 101.
7
Calculate the remainder when 3940946 is divided by 75.
71
Calculate the remainder when 1447 is divided by 32.
7
What is the remainder when 65025 is divided by 1049?
1036
What is the remainder when 61501 is divided by 7?
6
What is the remainder when 68397 is divided by 273?
147
What is the remainder when 4826 is divided by 47?
32
What is the remainder when 69650 is divided by 44?
42
Calculate the remainder when 2151 is divided by 319.
237
Calculate the remainder when 11154 is divided by 416.
338
Calculate the remainder when 81796 is divided by 27263.
7
What is the remainder when 19710 is divided by 4924?
14
Calculate the remainder when 3019 is divided by 54.
49
What is the remainder when 1911187 is divided by 17?
13
What is the remainder when 40591 is divided by 1933?
1931
Calculate the remainder when 5649 is divided by 121.
83
What is the remainder when 11048 is divided by 22?
4
What is the remainder when 21644 is divided by 78?
38
What is the remainder when 10004 is divided by 154?
148
Calculate the remainder when 4654 is divided by 463.
24
Calculate the remainder when 2144 is divided by 67.
0
Calculate the remainder when 1186 is divided by 179.
112
What is the remainder when 4943 is divided by 9?
2
What is the remainder when 2670273 is divided by 17?
15
What is the remainder when 2714 is divided by 2708?
6
What is the remainder when 39660 is divided by 848?
652
Calculate the remainder when 2602 is divided by 183.
40
Calculate the remainder when 2315 is divided by 762.
29
Calculate the remainder when 45082 is divided by 135.
127
What is the remainder when 38562 is divided by 523?
383
What is the remainder when 1115 is divided by 22?
15
What is the remainder when 691 is divided by 33?
31
Calculate the remainder when 6841 is divided by 2279.
4
What is the remainder when 95287 is divided by 12?
7
Calculate the remainder when 325985 is divided by 188.
181
What is the remainder when 21278 is divided by 140?
138
Calculate the remainder when 114851 is divided by 12.
11
Calculate the remainder when 2987 is divided by 113.
49
What is the remainder when 6042 is divided by 75?
42
What is the remainder when 24808 is divided by 9?
4
What is the remainder when 12424 is divided by 540?
4
What is the remainder when 81309 is divided by 242?
239
What is the remainder when 45967 is divided by 3830?
7
Calculate the remainder when 6620 is divided by 61.
32
What is the remainder when 3805194 is divided by 1789?
1780
What is the remainder when 4624 is divided by 902?
114
What is the remainder when 34927 is divided by 156?
139
What is the remainder when 13155 is divided by 783?
627
Calculate the remainder when 66442 is divided by 21.
19
What is the remainder when 3526 is divided by 271?
3
What is the remainder when 9760 is divided by 405?
40
What is the remainder when 39055 is divided by 9763?
3
Calculate the remainder when 36610 is divided by 47.
44
Calculate the remainder when 5502 is divided by 104.
94
Calculate the remainder when 3202 is divided by 3188.
14
What is the remainder when 860018 is divided by 23?
2
Calculate the remainder when 12489 is divided by 69.
0
Calculate the remainder when 9063 is divided by 4413.
237
What is the remainder when 22594 is divided by 27?
22
Calculate the remainder when 3913 is divided by 1079.
676
Calculate the remainder when 2127 is divided by 414.
57
Calculate the remainder when 12347 is divided by 4104.
35
What is the remainder when 31146 is divided by 1415?
16
What is the remainder when 8014 is divided by 618?
598
What is the remainder when 17838 is divided by 8874?
90
Calculate the remainder when 12136 is divided by 53.
52
What is the remainder when 11289 is divided by 868?
5
Calculate the remainder when 20351 is divided by 3385.
41
Calculate the remainder when 19637 is divided by 853.
18
What is the remainder when 4279 is divided by 226?
211
What is the remainder when 1279 is divided by 106?
7
What is the remainder when 4284 is divided by 4224?
60
Calculate the remainder when 77505 is divided by 36.
33
Calculate the remainder when 13328 is divided by 208.
16
What is the remainder when 192653 is divided by 154?
153
What is the remainder when 3827 is divided by 1229?
140
What is the remainder when 1924 is divided by 155?
64
What is the remainder when 549599 is divided by 33?
17
What is the remainder when 11898 is divided by 124?
118
Calculate the remainder when 10559 is divided by 2632.
31
Calculate the remainder when 6253 is divided by 196.
177
Calculate the remainder when 10867 is divided by 143.
142
Calculate the remainder when 300445 is divided by 50.
45
What is the remainder when 4860 is divided by 55?
20
Calculate the remainder when 182159 is divided by 440.
439
Calculate the remainder when 584 is divided by 429.
155
What is the remainder when 339088 is divided by 106?
100
Calculate the remainder when 5864 is divided by 38.
12
What is the remainder when 26109 is divided by 1044?
9
Calculate the remainder when 69889 is divided by 11632.
97
Calculate the remainder when 25030 is divided by 2046.
478
What is the remainder when 19253 is divided by 21?
17
Calculate the remainder when 83984 is divided by 874.
80
What is the remainder when 1736489 is divided by 11?
7
Calculate the remainder when 31771 is divided by 169.
168
Calculate the remainder when 1038 is divided by 81.
66
What is the remainder when 50197 is divided by 799?
659
Calculate the remainder when 6295 is divided by 2004.
283
What is the remainder when 5805 is divided by 42?
9
What is the remainder when 3001 is divided by 43?
34
Calculate the remainder when 888 is divided by 89.
87
Calculate the remainder when 18487 is divided by 3696.
7
What is the remainder when 3729 is divided by 1855?
19
Calculate the remainder when 36380 is divided by 161.
155
What is the remainder when 695 is divided by 65?
45
What is the remainder when 40944 is divided by 445?
4
What is the remainder when 14687 is divided by 240?
47
Calculate the remainder when 16475 is divided by 157.
147
What is the remainder when 1822 is divided by 229?
219
Calculate the remainder when 64088 is divided by 42.
38
Calculate the remainder when 160828 is divided by 53594.
46
Calculate the remainder when 132727 is divided by 276.
247
What is the remainder when 23139 is divided by 60?
39
Calculate the remainder when 584659 is divided by 194880.
19
What is the remainder when 8742 is divided by 226?
154
What is the remainder when 99392 is divided by 1658?
1570
Calculate the remainder when 32333 is divided by 32333.
0
What is the remainder when 10843 is divided by 187?
184
Calculate the remainder when 1477 is divided by 311.
233
What is the remainder when 647243 is divided by 27?
26
Calculate the remainder when 26562 is divided by 4.
2
What
|
{
"pile_set_name": "DM Mathematics"
}
|
e prime factors of i?
2, 61
Let u = 610 + -226. Suppose -2*l = -4*h - u, -4*h + 7*h = 3*l - 579. List the prime factors of l.
2, 97
Let j be ((-3)/9)/((-3)/(-9)) + 24. Let w = -24 + j. What are the prime factors of w + 911/8 + 1/8?
113
Let l be 21 - -577 - (-1 - -8). Let i = l - -453. What are the prime factors of i?
2, 3, 29
Let z be 1/(4/20) + (-9)/(-1). Let i(j) = 16*j - 99. What are the prime factors of i(z)?
5
Suppose -2*m - 42 = -58. Let w(p) = 4*p**2 + 9*p - 20. Let q(s) = -8*s**2 - 17*s + 39. Let g(h) = -6*q(h) - 11*w(h). What are the prime factors of g(m)?
2, 7, 19
Let f be (7122/4)/(7/2 + -2). Let a = -459 + f. List the prime factors of a.
2, 7, 13
Let f be (-21)/(-12)*(2 + -5 - -7). Let u(t) be the second derivative of -t**5/20 + 2*t**4/3 + 7*t**3/6 + 8*t**2 + 3*t. What are the prime factors of u(f)?
2, 3, 19
Let r(h) = -6*h - 2*h + 0*h + 9*h**2 - 5. Let i = -3663 - -3667. List the prime factors of r(i).
107
Let c = -66460 - -97326. List the prime factors of c.
2, 11, 23, 61
Let f(v) = v + 1. Let d(c) = 1. Let z(y) = 59*y**2 - 14*y - 8. Let j(t) = -5*d(t) - z(t). Let o(i) = 6*f(i) - j(i). What are the prime factors of o(2)?
223
Suppose -16*w = -90794 - 25574. List the prime factors of w.
7, 1039
Suppose 0 = -30*o + 24*o + 462. What are the prime factors of o?
7, 11
Let a(s) = -s**3 - 2*s**2 - 4*s - 16. Let p(i) = i**3 - 7*i**2 + 2*i - 8. Let x be p(7). Let u be a(x). Let w = 479 + u. What are the prime factors of w?
151
Suppose 5*f = 11*f - 2592. Suppose 8*t - 7*t - f = -2*k, -2*t = 5*k - 864. List the prime factors of t.
2, 3
Let x be (-394)/8 + -2*(-1)/8. Let y = x + 53. Suppose 2*b + 2*b + 20 = 0, -y*b = -2*f + 388. List the prime factors of f.
2, 23
Suppose 46*n - 56489 = 16067 + 17558. What are the prime factors of n?
3, 653
Suppose -4 = -4*k, v + 2*k + 4560 = 15776. List the prime factors of v.
2, 3, 7, 89
Let x(r) = 3*r**3 - 35*r**2 - 11*r - 71. List the prime factors of x(34).
3, 7, 19, 193
Let s = -441 - -9526. List the prime factors of s.
5, 23, 79
Let o(b) = -5 - 14*b - 32 - 12*b + b - 21*b**2 - b**3. Let s be o(-19). Let w = -139 - s. What are the prime factors of w?
5, 29
Let g(l) = 9017*l - 3335. List the prime factors of g(6).
50767
Suppose x + 9*w - 73 = 4*w, -4*x = -w - 397. Let h(t) = -t**3 - 6*t**2 + 8. Let s be h(-6). Suppose s*v - v = x. What are the prime factors of v?
2, 7
What are the prime factors of ((3/(-18))/((-22)/(-30184)))/((-3)/162)?
2, 3, 7
Suppose 17*c = -17 + 17. Suppose c = 2*f - 128 - 528. What are the prime factors of f?
2, 41
Let c = 19790 + -12688. What are the prime factors of c?
2, 53, 67
Let p(q) = -5959*q + 869. List the prime factors of p(-2).
19, 673
Let j = 8361 - 4083. Suppose 38*d - 32*d = j. What are the prime factors of d?
23, 31
Suppose -10653 = -9*g - 420. Suppose -g = -3*k + 3*p, 5 = -p + 3. What are the prime factors of k?
13, 29
Suppose 0 = 3*x - 2*w - 2, -4*w = -5*x + 3 + 3. Let z be (x - 0)*(2 - 4). What are the prime factors of (-16)/z + (-288)/(-4)?
2, 17
Suppose 5*g = -2*v - 20, 0*v - 3*g = 2*v + 12. Let f(s) = s**3 - 2*s + 455. What are the prime factors of f(v)?
5, 7, 13
Let c(y) = y**3 - 47*y**2 - 164*y + 470. What are the prime factors of c(56)?
2, 5, 1951
Let z be (-1 - 5/(-2))*2. Suppose 5*q - 3 = -j, z*q + 4*j = -j - 7. What are the prime factors of 248*(-5)/(-10)*q?
2, 31
Let b = 174 + -116. Suppose 0 = -4*a + 2*o - 204, -153 = 3*a + o - 4*o. Let j = a + b. List the prime factors of j.
7
Suppose a + 70 - 15 = 0. Let u = a + 48. Let h = 54 - u. What are the prime factors of h?
61
Let w(b) = 2*b**2 + 2. Let k be w(-5). Let l be (-18 + 13 + 30/(-25) + 2)*5. Let x = l + k. What are the prime factors of x?
31
Let x(i) be the second derivative of i**4/4 - i**3/6 + 4*i**2 + i. Let w(a) = -a**3 + 19*a**2 - 81*a - 30. Let c be w(12). List the prime factors of x(c).
2, 5, 11
Let j = -227 - -9600. List the prime factors of j.
7, 13, 103
Let j(i) = -7*i + 59. Let p be j(-37). Suppose -3*w + 966 = 3*l, -w - l = 4*l - p. What are the prime factors of w?
17, 19
Let w = -66 - -100. Suppose 0 = 4*f + 5*n - 4, 2*n + 2*n = 3*f - w. What are the prime factors of (5145/(-6))/7*f/(-5)?
3, 7
Let u(n) = -n**3 + 11*n**2 + 4*n + 4. Suppose 0 = 3*r - r + 2*o - 10, -2*o - 38 = -4*r. What are the prime factors of u(r)?
2, 3, 19
Let v(c) = -c**3 - 6*c**2 - 10*c - 6. Let i be v(-9). Suppose -3*l + i = -2*x + 69, 279 = 3*l + 5*x. Let f = l - 13. What are the prime factors of f?
3, 5
Let m(j) = -56*j**3 + 20*j**2 + 78*j + 756. What are the prime factors of m(-9)?
2, 3, 787
Suppose 0 = -f + 6 - 4. Suppose -f*q - 52 = -572. List the prime factors of q.
2, 5, 13
Suppose 7*t = -851 + 2888. Let x = -6 + -64. What are the prime factors of (x/(-15) + -4)*t?
2, 97
Suppose -4*u + 5*u = -164. Let x = u + 324. What are the prime factors of x?
2, 5
Let h be (-3)/2*(-72)/(-54). Let t be 0 - 4/h - (-422)/1. Suppose -4*d - 5*j = 330 - 907, -2*j = 3*d - t. List the prime factors of d.
2, 3, 23
Let q(x) be the third derivative of x**5/20 + 7*x**4/12 + 25*x**3/3 - 17*x**2. List the prime factors of q(-9).
167
Suppose 4*k + 0*k = -2*a + 11638, -8*k = 2*a - 23278. List the prime factors of k.
2, 3, 5, 97
Let w(o) = -3*o**3 - 31*o**2 - 25*o + 463. What are the prime factors of w(-21)?
2, 5, 151
Suppose -356*q + 3796637 + 12842091 = 0. List the prime factors of q.
2, 23369
Let n(f) = 6050*f**2 - f - 7. What are the prime factors of n(-1)?
2, 1511
Let t(g) = 29*g**3 - 3*g**2 + 48*g - 20. List the prime factors of t(11).
2, 29, 167
Let z(u) = -u**2 - 16*u - 30. Let t be z(-13). Suppose -4*f = -5*j - t*f - 675, 2*j - f + 276 = 0. List the prime factors of (j + -10)*(-1)/3.
7
Let a = 31873 + -18557. List the prime factors of a.
2, 3329
Let r(i) = 2*i**2 + 3*i + 55. Suppose -11*d + 27 - 236 = 0. List the prime factors of r(d).
2, 3, 5
Let i(d) = -3542*d - 3385. What are the prime factors of i(-5)?
3, 5, 191
List the prime factors of 4762/2 + ((-5)/(-15))/(2/24).
3, 5, 53
Let w be (1/(-2))/(7/(-42)). Suppose -w*s - 3*m + 234 = 0, 2*s - 240 = -s - 5*m. Let u = 168 - s. What are the prime factors of u?
3, 31
Suppose -4*c - 3512 = -3*y + 8201, 3*y - 3*c = 11709. Let i = y + -2634. List the prime factors of i.
5, 11, 23
Suppose -4*g - 7*z + 105328 = -3*z, z + 79004 = 3*g. What are the prime factors of g?
2, 3, 7, 11, 19
Let d(j) = -2*j**3 + 28*j**2 + j + 22. Let q be d(14). List the prime factors of (2208/q)/((-1)/(-3)).
2, 23
Let x = 10203 - 3460. What are the prime factors of x?
11, 613
Suppose 235 = 5*x + 210. Suppose 5*o + 5*k = o + 3304, x*o + 4*k - 4130 = 0. List the prime factors of o.
2, 7, 59
Let h(m) = -3*m - 31. Let b be h(-11). Let r be (-18)/(-12) - (-5)/b. Suppose r*d - 18 + 2 = 0. List the prime factors of d.
2
Let o(k) = 2*k**3 + 27*k**2 - 19*k - 7. What are the prime factors of o(-13)?
409
Let w be 8 + (1 - 3 - -2). Suppose 0 = w*o - 3843 - 357. Suppose -4*m + n + 414 = -n, 5*m = 4*n + o. What are the prime factors of m?
101
Let x(g) = -4*g**2 + 155*g + 108. What are the prime factors of x(21)?
3, 13, 41
Let o(d) = 1216*d**3 - 11*d**2 - d + 20. List the prime factors of o(3).
2, 5, 131
Let j = 9 + 1. Let l(m) = -14*m + 69 + 76 - 149 + 2*m**2. List the prime factors of l(j).
2, 7
Let d = 61 + -50. Suppose 2 = -13*z + d*z. List the prime factors of (z/1 - -2) + -1 - -160.
2, 5
Let l(v) = -v**2 - 13*v + 27. Let d be l(-16). Let c(g) = -3*g + 89. What are the prime factors of c(d)?
2, 19
List the prime factors of 93/(-248) + 3820824/64 + -3.
3, 11, 67
Let a(z) = 134*z + 184. Let c(l) = -89*l - 123. Let k(q) = -5*a(q) - 8*c(q). List the prime factors of k(16).
2, 23
Suppose -5*k = 5*r - 8227 - 7638, 5*r - 15874 = 4*k. List the prime factors of r.
2, 3, 23
Suppose -84735 = -4*v - 3*n, 3*v + 5*n = -698 + 64252. List the prime factors of v.
3, 23, 307
Let g(q) = -45*q - 3 + 19*q - 30*q + 3*q. Let b be g(1). Let n = 3 - b. List the prime factors of n.
59
Let o(q) = -11*q + 360. Let u be o(33). Let c(n) be the first derivative of 11*n**3/3 - n**2 - 7*n - 2. What are the prime factors of c(u)?
2, 7
Let y = 46277 - 17998. What are the prime factors of y?
28279
Suppose -c + 5*s + 23479 = 0, 3*s - 93874 = -4*c + 2*s. What are the prime factors of c?
3, 7823
Let d = 28 - 24. Suppose -d*o - j = -482, 5*o + 3*j + 139 = 745.
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let g = 17 + a. What are the prime factors of g?
5
Let h be -30*(-2)/2*-2. Let x = h + 86. Suppose -2*i + x = -i. What are the prime factors of i?
2, 13
Suppose o - 5*d = 26, 5*o = 4*d - 0*d + 46. Suppose -o*c + 22*c = 96. What are the prime factors of c?
2, 3
Let r(f) = -2*f - 3. Let b(y) = -6*y - 9. Let k(x) = 2*b(x) - 7*r(x). Let z(i) = 5*i**2 + 6*i + 6. Let q be z(-1). List the prime factors of k(q).
13
Suppose -3*m = -5*s + 20, 4*m - 5*s = -m - 20. Suppose 4*q + 2*n - 158 = 84, 4*q - 3*n - 267 = m. List the prime factors of q.
3, 7
Suppose 1515*h = 1511*h + 8900. What are the prime factors of h?
5, 89
Suppose 0 = 2*x - 1 - 9. Let r = x + -10. Let v(o) = -7*o - 7. List the prime factors of v(r).
2, 7
Suppose 0 = 4*z - 3*z + 36. Let j = z + 54. What are the prime factors of j?
2, 3
Let s = 150 - 82. Suppose -g = -3*i + i + s, -4 = -g. List the prime factors of i.
2, 3
Let z(m) = 24*m**2 - m - 4. What are the prime factors of z(4)?
2, 47
Let g = -1506 + 4499. What are the prime factors of g?
41, 73
Let g(h) = 13*h**2 - 355 - 3*h**2 + h + 353. What are the prime factors of g(1)?
3
Let b = 40 - 6. Let z = 46 - b. List the prime factors of z.
2, 3
Let m = 1027 + -407. List the prime factors of m.
2, 5, 31
Suppose -4565 = -13*z - 1055. What are the prime factors of z?
2, 3, 5
Let s = 39 - 72. Let z(w) = 11*w + 2. Let o be z(-1). Let d = o - s. List the prime factors of d.
2, 3
Let w(g) = -13*g**2 - 7*g. Let j(b) = b - 1. Let d(t) = -t + 6. Let p be d(7). Let n(q) = p*w(q) - 2*j(q). What are the prime factors of n(-2)?
2, 11
What are the prime factors of (11/(-2) - -5)*-430?
5, 43
Let d = -9 - -5. List the prime factors of (91 - (0 - -3)) + d.
2, 3, 7
Let o = -61 + 149. Let l be (0 - -3)/3 - o. Let y = -62 - l. List the prime factors of y.
5
Let k = -18 - -26. Let l be (-4)/k + (-10)/(-4). What are the prime factors of 8 + (l + 1 - 2)?
3
Suppose 0 = 2*v + 3*v + 3*p + 31, 5*v + 2*p = -34. Let d be 5/2*v/(-10). What are the prime factors of (-28)/(-12) + d/3?
3
Let h(x) = -x**3 + 2*x. Let b be h(2). Let q be (-9)/b*(-56)/(-21). What are the prime factors of (q/(-9))/((-2)/27)?
3
Let d = 11 + 27. Let b = 5 + d. Suppose 2*y + 0*y + k - 23 = 0, -b = -4*y - k. What are the prime factors of y?
2, 5
Let j be 2 - -6 - (2 - 1). Let v(h) = 4*h**2 - 3*h + 16. What are the prime factors of v(j)?
191
Suppose 0*i + 2*i = 6, -5*i = -5*u - 15. Suppose u = 3*w + 26 - 203. What are the prime factors of w?
59
List the prime factors of 150660/42 + 120/(-105).
2, 11, 163
Suppose 0*a = -4*a + 3*q + 48, 5*a + 2*q = 83. What are the prime factors of a?
3, 5
Let b(q) = -2*q - 21. Let k be b(-5). Let n(h) = -2*h - 18. Let a be n(k). Suppose 128 = a*w + 5*i, 2*i + 1 = 9. List the prime factors of w.
3
Let d(l) = -l**2 - 24*l - 25. Let i = -24 - -7. List the prime factors of d(i).
2, 47
Suppose 5*x - 3627 = -5*j - 1037, -x = -5*j + 2572. What are the prime factors of j?
5, 103
Let n be -2 - (-2)/(-4)*-4. Suppose 15 = -m + 2*y, 5*m - 2*y = -n*y - 75. What are the prime factors of (-231)/(-5) - (-3)/m?
2, 23
Suppose -q - 5*m + 1 = 0, 4*m - 2 = -q - 0. Let n be -1 - 3/(-6)*q. Suppose -2*i = 3*k - 13, i - n*k = -2*i + 39. List the prime factors of i.
11
Let a(g) = 17*g**2 + 3*g. Let x be a(6). Suppose 0*i + x = -3*i. List the prime factors of (1/(-2))/(5/i).
3, 7
Let u(c) = -c**2 - 10*c + 2. Let k be u(-10). Suppose k*a - 8 + 110 = -4*z, 5*z = 5*a - 165. Let g = -20 - z. List the prime factors of g.
2
Suppose 3*u = 2*n + 2*u - 143, -n - 3*u = -54. What are the prime factors of -1*(n + 4)*-1?
73
What are the prime factors of (-2560)/(-12)*54/4?
2, 3, 5
Let g(w) = 92*w**2 - 3*w - 2. What are the prime factors of g(-1)?
3, 31
Let z(n) = -n**3 + 10*n**2 + 13*n + 19. Let c be ((-8)/(-16))/((-2)/(-44)). What are the prime factors of z(c)?
41
Suppose -4*l = -2*z - 14 - 0, -4*l - 1 = 3*z. What are the prime factors of (-62)/(-5)*l/((-8)/(-10))?
31
Let z(k) = -2*k**3 + 33*k**2 + 4*k + 37. What are the prime factors of z(15)?
2, 193
Let h = -261 + 637. What are the prime factors of h?
2, 47
Suppose 0 = 4*g - t - 4247, 2*g = -3*t + 2624 - 483. What are the prime factors of g?
1063
Let a = 12 - 24. Let c be (a/(-8) - 1)*128. Let y = 93 - c. List the prime factors of y.
29
Suppose 5*i - 369 = -2*w, w = -0*w + 3*i + 168. List the prime factors of w.
3, 59
Suppose 2*a = 2*c + c - 12, 5*a - 20 = -5*c. Suppose p - 964 = -3*p + 4*o, 1000 = c*p + 5*o. What are the prime factors of p?
5, 7
Suppose -3*l - 346 + 1156 = 0. Let q = l - -39. Suppose 7*v + 92 = q. What are the prime factors of v?
31
Let x(w) = -2*w**3 + 4*w**2 - 5*w + 5. Let v be x(2). List the prime factors of 1 + 4/v - 318/(-10).
2
Let y(u) = -7*u + 7. Suppose -r - 2*c = 5, r = 2*r + 3*c. List the prime factors of y(r).
2, 7
Suppose 0 = -6*s + 133 + 185. Let o = -5 + s. What are the prime factors of o?
2, 3
Suppose 3*m + m = 60. Suppose -4*j + 0*a = 3*a + 63, -5*a = -m. Let q = 9 - j. What are the prime factors of q?
3
List the prime factors of 0 - ((-14)/(-2) + -656).
11, 59
Let v(z) = z**3 - 4*z**2 + 3*z + 3. Suppose 5*r = -0*r - 5*t - 95, -3*r + 2*t - 42 = 0. Let j = -12 - r. List the prime factors of v(j).
3, 5
Let n(j) = 29*j**2 - 59*j + 419. What are the prime factors of n(8)?
3, 601
Let n = -13 + 17. Suppose -7 - 1 = n*d. What are the prime factors of d/(-3)*(92 + -11)?
2, 3
Let t(s) = -21*s - 8. Let j be t(-8). Suppose -4*n = -4*l - j, 5*l + 74 = -4*n + 261. What are the prime factors of n?
43
Let p(q) = 10*q**3 - 3*q**2 + 4. Let x(c) = c**3 + 16*c**2 - 17*c + 2. Let t be x(-17). What are the prime factors of p(t)?
2, 3
What are the prime factors of (-23)/(((-12)/18)/((-4)/(-3)))?
2, 23
Let n(a) = -16*a + 1635. List the prime factors of n(0).
3, 5, 109
Let j = -35 - -37. Suppose j*c + 51 = 145. List the prime factors of c.
47
Let o = -23 + 26. Suppose 0 = o*b - 5*b. Suppose 3*m + m - 220 = b. List the prime factors of m.
5, 11
Let r(s) = -19*s**2 + 10*s + 2. Let u be r(-4). Let i = -156 - u. What are the prime factors of i?
2, 3, 31
Suppose 0 = 2*o - 0*z - 4*z + 62, 53 = -2*o + z. Let r be (-158)/(-3) + (-10)/(-30). Let d = o + r. What are the prime factors of d?
2, 7
Suppose 44*y + 1496 = 46*y. What are the prime factors of y?
2, 11, 17
Let h(u) = 79*u - 196. List the prime factors of h(11).
673
Let y = 3101 + -296. List the prime factors of y.
3, 5, 11, 17
Suppose -3*v = 4*i + 46 + 60, -5*v - 2*i = 186. List the prime factors of -1163*2/(-18) + v/171.
3, 43
Suppose 4*c = 3*f - 1119, -2*c - 764 = 4*f - 2256. List the prime factors of f.
373
Let c = -98 - -114. List the prime factors of (c - -256) + 2/(-1).
2, 3, 5
Suppose 0 = 16*c - 19*c + 12. Let l(r) = r**3 - r**2 + 5*r - 6. List the prime factors of l(c).
2, 31
What are the prime factors of (-7)/(-1 - -8*14/116)?
7, 29
Suppose -5*h + 20 = 0, n + 2*h - 9 = h. Suppose n*o + 3 = -4*c, 0*o = -4*c - o + 9. Suppose -c*l = -4*r - 200, -l - r + 55 = -0*r. List the prime factors of l.
2, 3, 5
Let f be 664/32 + (-2)/(-8). Suppose 0 = 9*i + f - 597. What are the prime factors of i?
2
Suppose x + 5*h = -20, x + 3*x = -3*h + 5. Suppose -4*d = n + 2*n - 61, d + x*n = 11. Let j = d - -6. List the prime factors of j.
2, 11
Let j(m) = m**3 - 11*m**2 + 12*m - 25. Let d be j(10). What are the prime factors of (d - -8)*(-69)/(-9)?
23
Suppose 7*j - 2*j = 2*a + 16, -8 = -3*j + 2*a. Let m = j + 9. What are the prime factors of m?
13
Let s(t) = 16*t**3 + 5*t**2 + 18*t - 126. List the prime factors of s(5).
2089
List the prime factors of (25 - -700)*(-1 - -3).
2, 5, 29
Suppose -3*n = 3*m - 36, 48 = 6*n - 2*n + 2*m. What are the prime factors of 2068/8 - n/8?
257
Suppose 2*j + j + 1426 = 4*f, 2*f - j - 712 = 0. What are the prime factors of f?
5, 71
Let p(x) = -x + 2. Let q be p(6). Let z(s) be the first derivative of -9*s**2/2 - 5*s + 13. What are the prime factors of z(q)?
31
Let y(k) = 4*k**2 + k - 3. Suppose 5*g - 2*j - 4 = 0, -3*j - 6 = -0*j. Suppose -3*v - 9 = g, i = -i - 2*v. What are the prime factors of y(i)?
2, 3
Let x(a) = a**2 - 14*a - 5. List the prime factors of x(15).
2, 5
Suppose 0 = 2*i + 4*m - 26, -5*i + 2*i = -2*m - 7. Let o = 31 - i. Let p = o - 3. What are the prime factors of p?
23
Let t(z) = 137*z**2 - 13*z + 31. List the prime factors of t(2).
7, 79
Let t(b) = 3*b**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
wb.
3/10
Two letters picked without replacement from nznllnnkknkjn. Give prob of sequence zk.
1/52
What is prob of sequence mw when two letters picked without replacement from {m: 4, w: 3}?
2/7
Two letters picked without replacement from {r: 1, o: 2, t: 1, z: 2}. What is prob of sequence ot?
1/15
Four letters picked without replacement from yyyjjjjyjj. Give prob of sequence yjyy.
1/35
Three letters picked without replacement from glyllglyglgogqoggg. What is prob of sequence qgy?
1/306
Calculate prob of sequence bbb when three letters picked without replacement from {e: 4, d: 2, b: 5, m: 4}.
2/91
Calculate prob of sequence bmm when three letters picked without replacement from {d: 1, v: 1, q: 7, b: 3, c: 3, m: 2}.
1/680
Two letters picked without replacement from umuu. Give prob of sequence mu.
1/4
Calculate prob of sequence ch when two letters picked without replacement from {h: 2, x: 2, e: 1, t: 6, c: 3}.
3/91
What is prob of sequence oi when two letters picked without replacement from {s: 1, y: 1, l: 2, o: 2, i: 1}?
1/21
Calculate prob of sequence rcmr when four letters picked without replacement from mrrmemrmcr.
1/105
Three letters picked without replacement from mhmmfmpd. What is prob of sequence hpd?
1/336
What is prob of sequence uyuu when four letters picked without replacement from {u: 4, y: 6}?
1/35
Two letters picked without replacement from jjuuulujujjujuujjjjj. Give prob of sequence jj.
11/38
What is prob of sequence vd when two letters picked without replacement from iidiividiiiiii?
1/91
Three letters picked without replacement from hvbbbyybyvbybbp. Give prob of sequence pyy.
2/455
Four letters picked without replacement from {z: 2, p: 1, i: 3, h: 1}. What is prob of sequence ihzz?
1/140
Two letters picked without replacement from {f: 4, h: 9, v: 3}. Give prob of sequence vf.
1/20
What is prob of sequence zzz when three letters picked without replacement from {z: 17, p: 2}?
40/57
Calculate prob of sequence eeb when three letters picked without replacement from ehhbhbebhhhhhb.
1/273
Two letters picked without replacement from {e: 1, m: 9, w: 4}. What is prob of sequence we?
2/91
Two letters picked without replacement from eneneenzennpeeern. What is prob of sequence ne?
3/17
What is prob of sequence oco when three letters picked without replacement from coooocoococcc?
21/143
Two letters picked without replacement from hqhmhohobhhoaooo. Give prob of sequence hh.
1/8
Two letters picked without replacement from zjjbzjzzbbjbbjbb. What is prob of sequence jz?
1/12
Four letters picked without replacement from {j: 1, o: 4, q: 1, x: 4, u: 1, f: 3}. Give prob of sequence juxo.
2/3003
Calculate prob of sequence wc when two letters picked without replacement from cwcccwwccccwcw.
45/182
Calculate prob of sequence xxe when three letters picked without replacement from wxwdwwoddexwedwpdd.
1/1224
Two letters picked without replacement from {a: 1, f: 8, w: 7, m: 4}. What is prob of sequence aw?
7/380
Two letters picked without replacement from bneneennbtbrbnni. Give prob of sequence rr.
0
Calculate prob of sequence uup when three letters picked without replacement from {u: 4, p: 2}.
1/5
Three letters picked without replacement from ssxssxgduxdsd. What is prob of sequence xxd?
3/286
What is prob of sequence uuu when three letters picked without replacement from uuuuuuuuuuuuuuuvuu?
5/6
What is prob of sequence zu when two letters picked without replacement from {z: 2, u: 1, s: 1, b: 1, x: 5, i: 5}?
1/105
Two letters picked without replacement from {e: 1, o: 3, t: 1, a: 1, g: 1}. What is prob of sequence gt?
1/42
What is prob of sequence zc when two letters picked without replacement from cmmjzmmcm?
1/36
Four letters picked without replacement from ggallgg. What is prob of sequence ggga?
1/35
Four letters picked without replacement from hmmhhimmiiml. What is prob of sequence hmml?
1/198
What is prob of sequence cdu when three letters picked without replacement from dcmxuuxuuuxuxcu?
1/195
Calculate prob of sequence guu when three letters picked without replacement from {g: 12, u: 6}.
5/68
Calculate prob of sequence feni when four letters picked without replacement from {o: 1, e: 12, i: 1, f: 1, n: 2}.
1/2380
Two letters picked without replacement from {e: 4, c: 4, n: 2, g: 4}. Give prob of sequence nn.
1/91
What is prob of sequence pgw when three letters picked without replacement from tnpvggwnvvg?
1/330
What is prob of sequence mmm when three letters picked without replacement from {m: 2, o: 1, l: 4}?
0
Two letters picked without replacement from {s: 6, c: 3, u: 8}. Give prob of sequence uu.
7/34
What is prob of sequence oo when two letters picked without replacement from xsttttxtnthnnnonns?
0
What is prob of sequence xxld when four letters picked without replacement from {l: 1, b: 1, x: 2, d: 1}?
1/60
Calculate prob of sequence tt when two letters picked without replacement from rutryyut.
1/28
Calculate prob of sequence ztxy when four letters picked without replacement from {z: 1, e: 1, x: 2, y: 1, t: 1, g: 1}.
1/420
Calculate prob of sequence qx when two letters picked without replacement from ngdxgqnxddddzdgdd.
1/136
Calculate prob of sequence vrv when three letters picked without replacement from {r: 4, v: 6}.
1/6
Four letters picked without replacement from wrrwrrrrrrrrrrwrwr. Give prob of sequence wrwr.
91/3060
Four letters picked without replacement from {h: 1, e: 2, y: 6, z: 1, s: 2}. Give prob of sequence ezye.
1/990
Three letters picked without replacement from {v: 7, q: 1, x: 1, m: 3, c: 2, n: 3}. Give prob of sequence qmn.
3/1360
Calculate prob of sequence yp when two letters picked without replacement from hpppptttytpw.
5/132
Two letters picked without replacement from {n: 1, m: 1, u: 1, i: 1, j: 1}. Give prob of sequence ni.
1/20
Two letters picked without replacement from qqqqrqqrq. What is prob of sequence rr?
1/36
What is prob of sequence weew when four letters picked without replacement from ewweee?
1/15
Calculate prob of sequence izf when three letters picked without replacement from fizi.
1/12
Two letters picked without replacement from {j: 1, w: 1, u: 1, v: 1, h: 1}. Give prob of sequence vj.
1/20
What is prob of sequence nwl when three letters picked without replacement from {w: 2, l: 1, n: 1, q: 2, u: 1, z: 1}?
1/168
Calculate prob of sequence if when two letters picked without replacement from ailfo.
1/20
Three letters picked without replacement from {t: 3, x: 3}. What is prob of sequence xxt?
3/20
Four letters picked without replacement from {g: 7, r: 2, q: 4}. Give prob of sequence rgqq.
7/715
Two letters picked without replacement from {c: 11, o: 2, m: 2}. Give prob of sequence cc.
11/21
Calculate prob of sequence tt when two letters picked without replacement from {t: 2, d: 1, u: 1, v: 1}.
1/10
What is prob of sequence iwwe when four letters picked without replacement from seshsewsewi?
1/1320
Four letters picked without replacement from {y: 1, f: 1, w: 2, c: 7, r: 1, j: 2}. What is prob of sequence crjf?
1/1716
What is prob of sequence qgni when four letters picked without replacement from {q: 3, e: 1, s: 2, n: 2, g: 9, i: 3}?
9/6460
Two letters picked without replacement from hhqeaekhqqeaza. Give prob of sequence ka.
3/182
What is prob of sequence zzz when three letters picked without replacement from {j: 3, b: 9, z: 4}?
1/140
Three letters picked without replacement from {w: 4, s: 14}. What is prob of sequence sss?
91/204
Calculate prob of sequence ru when two letters picked without replacement from {u: 4, r: 2}.
4/15
What is prob of sequence xxi when three letters picked without replacement from ixxi?
1/6
Four letters picked without replacement from imdshidh. Give prob of sequence siim.
1/840
Two letters picked without replacement from {x: 2, y: 1, l: 1, s: 1}. Give prob of sequence yl.
1/20
Calculate prob of sequence kkkk when four letters picked without replacement from {k: 10}.
1
What is prob of sequence as when two letters picked without replacement from {m: 8, s: 1, a: 5, p: 2}?
1/48
Calculate prob of sequence iiyi when four letters picked without replacement from {y: 1, t: 1, w: 2, i: 4}.
1/70
Calculate prob of sequence llc when three letters picked without replacement from {l: 7, c: 11, s: 1}.
77/969
Four let
|
{
"pile_set_name": "DM Mathematics"
}
|
:07 PM?
5:26 AM
How many minutes are there between 9:57 PM and 8:17 AM?
620
What is 167 minutes before 8:47 AM?
6:00 AM
What is 559 minutes after 9:10 AM?
6:29 PM
What is 480 minutes after 1:12 PM?
9:12 PM
What is 454 minutes after 3:42 AM?
11:16 AM
How many minutes are there between 3:55 AM and 3:12 PM?
677
How many minutes are there between 9:37 PM and 6:25 AM?
528
How many minutes are there between 7:18 PM and 6:15 AM?
657
How many minutes are there between 11:59 PM and 8:04 AM?
485
How many minutes are there between 6:49 PM and 12:09 AM?
320
How many minutes are there between 12:51 PM and 7:03 PM?
372
How many minutes are there between 1:04 AM and 9:28 AM?
504
What is 291 minutes before 7:24 AM?
2:33 AM
What is 568 minutes after 6:35 AM?
4:03 PM
What is 77 minutes after 2:12 AM?
3:29 AM
How many minutes are there between 9:10 AM and 1:30 PM?
260
What is 481 minutes before 11:57 AM?
3:56 AM
How many minutes are there between 4:54 PM and 5:27 PM?
33
How many minutes are there between 7:10 AM and 10:27 AM?
197
How many minutes are there between 7:29 AM and 3:11 PM?
462
How many minutes are there between 5:26 AM and 8:50 AM?
204
How many minutes are there between 2:32 AM and 5:00 AM?
148
How many minutes are there between 8:25 AM and 10:01 AM?
96
What is 470 minutes after 3:43 PM?
11:33 PM
How many minutes are there between 10:49 PM and 8:34 AM?
585
How many minutes are there between 1:38 AM and 12:41 PM?
663
What is 374 minutes after 8:28 PM?
2:42 AM
How many minutes are there between 8:50 PM and 1:59 AM?
309
How many minutes are there between 10:55 PM and 5:58 AM?
423
How many minutes are there between 2:02 PM and 6:12 PM?
250
How many minutes are there between 5:54 PM and 11:49 PM?
355
How many minutes are there between 2:54 AM and 5:34 AM?
160
What is 528 minutes after 11:35 AM?
8:23 PM
What is 706 minutes before 2:21 AM?
2:35 PM
What is 410 minutes before 1:09 PM?
6:19 AM
What is 578 minutes before 10:48 AM?
1:10 AM
What is 50 minutes before 12:49 PM?
11:59 AM
How many minutes are there between 11:22 AM and 11:21 PM?
719
How many minutes are there between 8:43 AM and 6:24 PM?
581
What is 374 minutes after 3:48 AM?
10:02 AM
How many minutes are there between 6:25 AM and 12:20 PM?
355
What is 260 minutes after 6:45 AM?
11:05 AM
What is 456 minutes after 9:03 AM?
4:39 PM
How many minutes are there between 6:33 AM and 2:46 PM?
493
What is 530 minutes after 1:39 AM?
10:29 AM
What is 250 minutes after 6:21 AM?
10:31 AM
What is 410 minutes before 2:53 AM?
8:03 PM
What is 463 minutes before 11:49 AM?
4:06 AM
What is 691 minutes before 11:53 PM?
12:22 PM
How many minutes are there between 10:52 AM and 10:37 PM?
705
How many minutes are there between 6:48 PM and 3:55 AM?
547
What is 184 minutes before 9:14 AM?
6:10 AM
How many minutes are there between 1:08 AM and 1:56 AM?
48
What is 634 minutes after 5:02 AM?
3:36 PM
What is 315 minutes before 4:02 AM?
10:47 PM
How many minutes are there between 9:35 AM and 11:43 AM?
128
How many minutes are there between 4:54 AM and 7:00 AM?
126
What is 211 minutes after 5:24 AM?
8:55 AM
What is 107 minutes before 2:09 AM?
12:22 AM
What is 588 minutes before 4:58 AM?
7:10 PM
What is 300 minutes after 9:08 AM?
2:08 PM
How many minutes are there between 7:52 AM and 6:02 PM?
610
What is 96 minutes after 4:16 AM?
5:52 AM
How many minutes are there between 5:04 PM and 9:43 PM?
279
What is 249 minutes after 9:00 AM?
1:09 PM
How many minutes are there between 2:28 AM and 10:52 AM?
504
What is 98 minutes before 8:55 PM?
7:17 PM
How many minutes are there between 2:18 AM and 5:23 AM?
185
What is 702 minutes after 2:54 PM?
2:36 AM
How many minutes are there between 6:02 AM and 11:29 AM?
327
How many minutes are there between 10:11 AM and 7:23 PM?
552
What is 270 minutes after 5:15 AM?
9:45 AM
What is 82 minutes before 8:55 PM?
7:33 PM
How many minutes are there between 4:18 PM and 6:46 PM?
148
What is 264 minutes after 3:26 AM?
7:50 AM
How many minutes are there between 12:07 PM and 11:32 PM?
685
What is 255 minutes before 12:54 AM?
8:39 PM
What is 502 minutes before 9:57 AM?
1:35 AM
What is 254 minutes after 10:48 PM?
3:02 AM
What is 481 minutes before 10:43 AM?
2:42 AM
How many minutes are there between 6:31 PM and 1:31 AM?
420
What is 643 minutes after 10:43 AM?
9:26 PM
How many minutes are there between 6:25 AM and 12:18 PM?
353
What is 320 minutes after 3:37 PM?
8:57 PM
How many minutes are there between 1:27 AM and 2:16 AM?
49
What is 710 minutes after 5:54 AM?
5:44 PM
How many minutes are there between 11:14 PM and 11:28 PM?
14
How many minutes are there between 5:37 AM and 1:01 PM?
444
How many minutes are there between 11:08 AM and 1:41 PM?
153
How many minutes are there between 10:55 AM and 4:26 PM?
331
How many minutes are there between 2:32 AM and 7:55 AM?
323
What is 526 minutes after 4:46 AM?
1:32 PM
What is 617 minutes after 3:25 AM?
1:42 PM
How many minutes are there between 7:03 PM and 5:49 AM?
646
How many minutes are there between 1:40 AM and 11:57 AM?
617
What is 96 minutes after 11:16 PM?
12:52 AM
How many minutes are there between 6:58 PM and 1:38 AM?
400
How many minutes are there between 3:37 AM and 8:52 AM?
315
What is 33 minutes after 9:19 AM?
9:52 AM
What is 585 minutes after 10:30 AM?
8:15 PM
How many minutes are there between 2:17 PM and 7:44 PM?
327
What is 596 minutes after 11:04 PM?
9:00 AM
How many minutes are there between 11:58 PM and 8:46 AM?
528
How many minutes are there between 2:49 AM and 7:51 AM?
302
How many minutes are there between 7:35 AM and 5:11 PM?
576
How many minutes are there between 9:34 AM and 3:46 PM?
372
How many minutes are there between 12:18 AM and 9:50 AM?
572
What is 639 minutes after 4:49 PM?
3:28 AM
What is 667 minutes after 5:43 AM?
4:50 PM
How many minutes are there between 3:59 AM and 7:00 AM?
181
How many minutes are there between 1:41 AM and 9:18 AM?
457
What is 586 minutes before 6:20 PM?
8:34 AM
What is 159 minutes after 8:36 PM?
11:15 PM
How many minutes are there between 8:52 AM and 7:03 PM?
611
What is 325 minutes after 9:20 AM?
2:45 PM
What is 283 minutes before 5:24 PM?
12:41 PM
How many minutes are there between 7:55 AM and 4:05 PM?
490
What is 69 minutes after 9:16 AM?
10:25 AM
What is 42 minutes after 5:12 PM?
5:54 PM
How many minutes are there between 3:52 PM and 1:49 AM?
597
What is 371 minutes before 9:23 PM?
3:12 PM
What is 170 minutes before 3:31 PM?
12:41 PM
How many minutes are there between 12:36 AM and 3:40 AM?
184
What is 628 minutes after 11:12 PM?
9:40 AM
How many minutes are there between 2:51 PM and 12:08 AM?
557
What is 12 minutes after 4:26 PM?
4:38 PM
How many minutes are there between 7:18 AM and 11:01 AM?
223
How many minutes are there between 6:15 AM and 8:40 AM?
145
How many minutes are there between 11:33 AM and 10:52 PM?
679
What is 367 minutes after 3:35 AM?
9:42 AM
How many minutes are there between 5:06 AM and 12:45 PM?
459
How many minutes are there between 12:19 PM and 2:16 PM?
117
How many minutes are there between 1:07 AM and 11:50 AM?
643
What is 211 minutes after 1:12 AM?
4:43 AM
How many minutes are there between 1:33 AM and 10:46 AM?
553
How many minutes are there between 7:23 PM and 9:48 PM?
145
What is 243 minutes before 3:25 AM?
11:22 PM
How many minutes are there between 5:51 AM and 1:37 PM?
466
How many minutes are there between 12:04 AM and 2:25 AM?
141
How many minutes are there between 6:08 PM and 5:26 AM?
678
How many minutes are there between 8:16 PM and 3:10 AM?
414
How many minutes are there between 2:45 AM and 7:15 AM?
270
How many minutes are there between 9:33 PM and 12:20 AM?
167
How many minutes are there between 10:57 PM and 9:20 AM?
623
What is 19 minutes after 9:05 PM?
9:24 PM
What is 207 minutes after 3:59 PM?
7:26 PM
What is 292 minutes after 5:53 PM?
10:45 PM
How many minutes are there between 8:10 AM and 4:03 PM?
473
What is 628 minutes before 11:39 AM?
1:11 AM
How many minutes are there between 2:34 AM and 4:11 AM?
97
How many minutes are there between 11:31 PM and 6:19 AM?
408
What is 623 minutes before 10:32 PM?
12:09 PM
How many minutes are there between 8:12 PM and 5:54 AM?
582
How many minutes are there between 2:23 PM and 2:56 PM?
33
What is 586 minutes before 7:30 AM?
9:44 PM
W
|
{
"pile_set_name": "DM Mathematics"
}
|
m in -10933, -21869, -32809, -43753, -54701, -65653, -76609?
-87569
What comes next: -739, -697, -581, -355, 17, 571, 1343, 2369?
3685
What comes next: -128, -151, -212, -329, -520, -803?
-1196
What comes next: -20991, -42002, -63011, -84018, -105023, -126026?
-147027
What is the next term in 447, 1782, 4015, 7146, 11175, 16102?
21927
What is next in -24950, -49912, -74874?
-99836
What is the next term in 340, 2166, 7100, 16690, 32484, 56030, 88876, 132570?
188660
What is the next term in -659305, -659307, -659309, -659311?
-659313
What is the next term in -250, -502, -750, -994, -1234, -1470?
-1702
What is next in 2158, 2295, 2432, 2569, 2706?
2843
What is the next term in 480, 1953, 4400, 7821, 12216, 17585, 23928?
31245
What is the next term in -1572, -1550, -1506, -1434, -1328?
-1182
What comes next: -1621, -1657, -1707, -1777, -1873, -2001, -2167, -2377?
-2637
What is the next term in 2621, 20919, 70547, 167159, 326409, 563951, 895439?
1336527
What is next in 6827, 13571, 20315, 27059?
33803
What is next in -128, -624, -1428, -2534, -3936, -5628, -7604?
-9858
What comes next: -1566, -1563, -1570, -1593, -1638?
-1711
What is the next term in -21133, -21185, -21237, -21289, -21341?
-21393
What is next in -389606, -389608, -389610, -389612?
-389614
What is the next term in -332, -333, -334?
-335
What comes next: 1416, 5953, 13516, 24105, 37720, 54361, 74028?
96721
What comes next: 350, 678, 1006?
1334
What comes next: 4572, 9137, 13698, 18255, 22808, 27357?
31902
What is next in 7689, 7516, 7043, 6120, 4597?
2324
What comes next: 38810, 310579, 1048238, 2484731, 4853002, 8385995?
13316654
What is next in 925, 817, 495, -149, -1223?
-2835
What comes next: -895, -3550, -7969, -14152, -22099, -31810, -43285?
-56524
What is the next term in 2, -226, -560, -964, -1402, -1838, -2236, -2560?
-2774
What comes next: -1756, -1681, -1606, -1531, -1456, -1381?
-1306
What is the next term in -1131, -1375, -2055, -3393, -5611?
-8931
What is the next term in 1428, 1395, 1362, 1329, 1296, 1263?
1230
What is next in -104, -271, -550, -941?
-1444
What comes next: 4379, 4396, 4431, 4484, 4555, 4644?
4751
What comes next: 1822, 7070, 15752, 27868, 43418, 62402, 84820?
110672
What is the next term in -7759, -7706, -7569, -7306, -6875, -6234, -5341?
-4154
What is next in 768, 764, 760?
756
What is the next term in -8865, -8766, -8667, -8568?
-8469
What comes next: 365, 751, 1159, 1589?
2041
What comes next: 11434, 22887, 34338, 45787, 57234, 68679?
80122
What is next in 3908, 3887, 3866, 3845, 3824, 3803?
3782
What comes next: -3727, -7563, -11401, -15241, -19083, -22927?
-26773
What is next in -18542, -37077, -55618, -74171, -92742, -111337, -129962, -148623?
-167326
What comes next: -28940, -115739, -260406, -462941, -723344, -1041615, -1417754?
-1851761
What is next in -78, -601, -1468, -2673, -4210, -6073?
-8256
What is next in 773, 2517, 5421, 9485, 14709?
21093
What is the next term in 1680, 3412, 5208, 7074, 9016, 11040, 13152?
15358
What is next in 2346, 2389, 2464, 2577, 2734?
2941
What comes next: -1080, -2116, -3156, -4200?
-5248
What is next in 53283, 106552, 159837, 213144, 266479, 319848?
373257
What is next in -620, -1199, -1782, -2369, -2960?
-3555
What comes next: 8522, 8519, 8516, 8513, 8510?
8507
What is next in -135, -206, -293, -402, -539, -710, -921, -1178?
-1487
What comes next: -17399, -34202, -51007, -67814, -84623?
-101434
What comes next: -11569, -23076, -34583, -46090?
-57597
What comes next: -1963, -1964, -1965?
-1966
What is the next term in 223, 938, 2131, 3808, 5975, 8638, 11803, 15476?
19663
What is next in -11099, -22177, -33253, -44327?
-55399
What comes next: 55283, 110567, 165843, 221105, 276347, 331563?
386747
What comes next: -115, 182, 675, 1364, 2249, 3330, 4607?
6080
What is the next term in 7875, 15800, 23725, 31650, 39575?
47500
What is next in -1401, -1265, -1129?
-993
What is next in -220, -552, -884, -1216, -1548?
-1880
What is next in 4620, 9269, 13916, 18561, 23204?
27845
What is next in -631, -1438, -2245, -3052, -3859, -4666?
-5473
What is the next term in -1778, -3540, -5302, -7064, -8826?
-10588
What comes next: 6574, 6470, 6366, 6262?
6158
What is the next term in 241, 471, 701, 931, 1161, 1391?
1621
What comes next: -27, 0, 127, 408, 897, 1648, 2715?
4152
What is the next term in 33700, 67398, 101096?
134794
What is the next term in -1985, -1991, -2007, -2033, -2069, -2115, -2171?
-2237
What comes next: -73, -600, -2037, -4840, -9465, -16368, -26005, -38832?
-55305
What is the next term in -157, -358, -635, -1006, -1489?
-2102
What is next in -88, -241, -472, -793, -1216, -1753, -2416, -3217?
-4168
What is the next term in 120151, 240312, 360473, 480634, 600795?
720956
What is the next term in -119, -444, -1005, -1820, -2907, -4284, -5969, -7980?
-10335
What is the next term in 2355, 4714, 7063, 9396, 11707, 13990, 16239, 18448?
20611
What comes next: 55, -373, -1237, -2531, -4249, -6385, -8933?
-11887
What is next in -133, -468, -1003, -1738, -2673, -3808?
-5143
What comes next: 37541, 37543, 37545?
37547
What is the next term in 2223, 2164, 2105, 2046, 1987?
1928
What is the next term in 2051, 2031, 2001, 1961, 1911, 1851, 1781?
1701
What is next in -101, -241, -411, -611, -841, -1101?
-1391
What is the next term in -3451, -6906, -10363, -13822, -17283, -20746, -24211?
-27678
What is the next term in 135, 265, 387, 501, 607, 705, 795?
877
What is next in 44958, 44957, 44956?
44955
What is next in -377, -986, -1595, -2204, -2813?
-3422
What is next in 740, 2296, 3854, 5414, 6976, 8540, 10106?
11674
What is next in 2427, 3543, 4663, 5787?
6915
What comes next: -8206, -7913, -7618, -7321, -7022, -6721?
-6418
What comes next: -1443, -1483, -1523, -1563, -1603, -1643?
-1683
What is the next term in -69, -78, -91, -108, -129?
-154
What is the next term in 259, 238, 145, -26, -281?
-626
What comes next: 3727, 14976, 33741, 60022, 93819, 135132?
183961
What comes next: -1482, -1402, -1294, -1164, -1018, -862, -702?
-544
What is the next term in -2672, -5343, -8012, -10673, -13320?
-15947
What is the next term in 842, 1670, 2498, 3326, 4154?
4982
What comes next: 1768, 1752, 1728, 1696?
1656
What is the next term in -69806, -139612, -209420, -279230?
-349042
What is next in -2467, -2479, -2511, -2575, -2683?
-2847
What is next in 2446, 2388, 2290, 2152?
1974
What is the next term in 867, 1645, 2337, 2943, 3463?
3897
What is next in -87812, -351239, -790288, -1404965, -2195276?
-3161227
What is next in -8746, -17163, -25580, -33997?
-42414
What is the next term in -248121, -496241, -744361, -992481?
-1240601
What is the next term in 12690, 12679, 12668, 12657, 12646?
12635
What comes next: 11811, 11807, 11803, 11799, 11795?
11791
What comes next: -995, -954, -863, -698, -435, -50?
481
What comes next: -5490, -11002, -16552, -22158, -27838, -33610, -39492?
-45502
What is next in -522, -1030, -1538?
-2046
What comes next: -1739, -1709, -1665, -1601, -1511, -1389?
-1229
What is next in -525339, -525331, -525323?
-525315
What is next in -136, -649, -1500, -2689, -4216, -6081, -8284?
-10825
What comes next: 302, 622, 950, 1292, 1654, 2042, 2462?
2920
What is next in -6953, -6662, -6371, -6080, -5789?
-5498
What comes next: -110, -303, -664, -1277, -2226, -3595, -5468, -7929?
-11062
What comes next: -197808, -197810, -197812, -197814, -197816?
-197818
What is next in -685, -663, -641, -619?
-597
What comes next: -170, -752, -1724, -3086, -4838?
-6980
What is the next term in 515, 499, 477, 449?
415
What comes next: 2294, 9076, 20384, 36224, 56602?
81524
What is the next term in 5252, 4262, 3272, 2282, 1292, 302?
-688
What comes next: -11006, -11011, -11016?
-11021
What comes next: 353, -1211, -2765, -4303, -5819, -7307?
-8761
What is next in 7003, 14012, 21019, 28024, 35027?
42028
What comes next: 604, 692, 780?
868
What comes next: -80390, -80403, -80432, -80483, -80562, -80675, -80828, -81027?
-81278
What comes next: -4565, -4497, -4429?
-4361
What is the next term in -66023, -132052, -198081, -264110, -330139?
-396168
What comes next: -621, -516, -421, -342, -285, -256?
-261
What is next in 215249, 215283, 215347, 215447, 215589?
215779
What comes next: -1790, -3567, -5334, -7091, -8838?
-10575
What comes next: 125
|
{
"pile_set_name": "DM Mathematics"
}
|
8/44?
9
Suppose -11*k - 28 = -6. Let t = -64 - -446/7. What is the common denominator of 2/(-1) + (2 - 101/k) and t?
14
Let g = -965 - -1152. Calculate the smallest common multiple of g and 17.
187
Find the common denominator of (2/(-35))/(13 - (-5615)/(-425)) and 19/378.
378
Let j = -37 + 32. What is the lowest common multiple of j/6*3*8/(-10) and 22?
22
Suppose -u + 11 + 11 = 5*n, 5*n + 2*u - 19 = 0. Calculate the lowest common multiple of 12 and (1*-2)/(n + (-82)/16).
48
Let a = 16/663 + 3079/1326. Let y = -8989/438 - 47/73. Find the common denominator of a and y.
78
What is the common denominator of -17/14 and (-9)/6*100/(-32)?
112
Suppose 4*a + 18 = c, -9 = -3*c - 3*a + 6*a. Let d be 1/(2 - (1 - c)). Calculate the common denominator of 25/16 and d - 1 - (-445)/(-20).
16
Suppose 7*a - 207 = -172. Suppose 3*n = 7*n - 5*q - 61, 3*n - 47 = 5*q. Calculate the smallest common multiple of n and a.
70
Let i = 2006 + -1614. Calculate the least common multiple of i and 98.
392
What is the smallest common multiple of (-7)/7*(-1 - 0) and ((-9)/(-6))/(-6 - (-340)/56)?
21
Let f = -465 + 468. What is the smallest common multiple of f and 27?
27
Let h = 373 - -538. Let s be (h/(-36))/((-2)/438). Let i = s + -5533. What is the common denominator of i and -87/10?
60
Suppose 0 = 13*g - 2*g - 44. Suppose -2*h + 0*h + 20 = 0. What is the smallest common multiple of h and 9 + (g + 1 - 10)?
20
Suppose -3*d - 2*d = -3*c - 215, 5*d - 5*c - 225 = 0. Calculate the smallest common multiple of 8 and d.
40
Suppose 5*w - 3*x - 71 = 0, 3*w + x = -4*x + 63. Let t(p) = -4*p**3 + 0*p**3 - 2*p + 4 + 3*p**3 - 6*p**2. Calculate the least common multiple of w and t(-6).
16
Suppose -365 = -2*v - 3*v. Let q = v + -53. Calculate the smallest common multiple of 6 and q.
60
Let j(o) = -o**2 - 6*o + 7. Let n be j(-7). Let z be 4 + (-4)/2 + n. Suppose 3*t - 61 = 5*w, w + 9 = z*t + 4*w. What is the lowest common multiple of 6 and t?
12
Find the common denominator of -137/120 and ((-144)/64*(-82)/(-3))/(-108).
360
Suppose -34 - 626 = -6*v. Let q(m) = -m**3 - m**2 + m + 2. Let u be q(-2). Suppose -v = -u*l - l. What is the least common multiple of l and 34?
374
Let h(t) = t**2 - 56*t + 435. Calculate the least common multiple of h(48) and 102.
102
Let t = -260 - -266. Calculate the smallest common multiple of t and 23.
138
Suppose 16*i = 14*i + 152. Calculate the least common multiple of i and 24.
456
Suppose 15 = -l - 0. Find the common denominator of (l/(-16))/((-2)/8) and 12/23.
92
Let y(c) = -24*c - 12. Calculate the lowest common multiple of (3 + 10/(-6))*3 and y(-1).
12
Suppose 6 = -k + 27. Let o(x) = 3*x**2 + 12*x + 27. Calculate the smallest common multiple of o(-2) and k.
105
Let f = 6/449 + 7417/16164. Calculate the common denominator of 73/54 and f.
108
Let l = 9/1100 - -9121/1100. Let w = -55441/66 + 2530/3. Find the common denominator of l and w.
110
Suppose 14 = -2*v + 3*v - q, 4*q + 8 = 0. Let z = v - 8. Calculate the least common multiple of 16 and (-9 + -3)/z - -21.
144
What is the common denominator of (-8)/(56/(-33)) + 10/(-6) and 115/14?
42
Let k = -146881/22 - -6672. Find the common denominator of -17/10 and k.
110
Let j(d) = d**3 + 7*d**2 + 5*d - 4. Let u be j(-6). Suppose -4 = r + 3*i + 8, -u*r - 12 = 3*i. Calculate the smallest common multiple of 3 and 1 - (r - 6/3).
3
What is the least common multiple of (-56880)/(-1350) + 4/(-30) and 123?
1722
Let x(k) = k**3 - 22*k**2 - 23*k - 27. Find the common denominator of x(23) and -28/39.
39
Find the common denominator of -109/22 and 410/3600 - (-24)/(-54).
3960
Let j be -2262*(2/1)/(-32). Let a = j + -5681/40. Let v = 4373 - 34983/8. What is the common denominator of a and v?
40
Suppose -2*j + 5*d - 20 = -3*j, 3*d = -15. Suppose -6 = -9*g + 57. What is the smallest common multiple of g and j?
315
Calculate the common denominator of 49/130 and (-3)/54*-6 - 526/(-132).
1430
Let r = -49/8 - 73/24. Find the common denominator of 17/45 and r.
90
Suppose -2*o = -5*p + 43, 44 - 2 = 5*p - 3*o. Let b = 63 + -60. Calculate the lowest common multiple of b and p.
9
Suppose -h = -7*h - 0*h + 12. What is the least common multiple of h and (-54)/(-2) + (-6)/3?
50
Suppose -8 = -8*a - 328. Calculate the lowest common multiple of 1 and (-24)/14*140/a.
6
Let j be (1*-1)/(-2*(-1)/4). What is the common denominator of 137/6 and (3/324*93)/(j/6)?
12
Suppose -5*o + 449 = -951. Find the common denominator of (-6)/14 + (-335)/o and 53/(-6) + (-2 - -1).
24
Let h = 2709 + -27121/10. Find the common denominator of h and 17/60.
60
Suppose 26*r + 40*r - 9438 = 0. Calculate the smallest common multiple of r and 52.
572
Let m be ((-91)/(-28) - (-2)/(-8))*1. Suppose 8 = 4*k + r + 3*r, 5*k = -m*r + 12. What is the lowest common multiple of 33 and k?
33
Let b(i) = -i**3 - 4*i**2 - i - 3. Let s be b(-6). Suppose 5*j + 4*h = s, 0 = 5*j + h - 5 - 55. What is the least common multiple of 7 and j?
77
Suppose 2*q = 9 - 3. What is the common denominator of q*(-3)/(-60)*41 and 4/26 + (-9197)/(-4862)?
220
What is the common denominator of -97/26 and (-2 + 388/200)/((-21)/91)?
650
Let u = 1292743/54 + -23938. What is the common denominator of u and 43/10?
270
Let c be (-1)/(-5) - 302502/46260. Let x = c + 3/514. Let t = 67/12 + x. What is the common denominator of -49/18 and t?
36
Calculate the least common multiple of 16/8 - (-30 + 0) and 40.
160
Let g(c) = -c**3 + c**2 + 2*c - 3. Let i be g(4). Let h = -67 - i. Find the common denominator of 262/(-8)*16/h and 73/56.
168
Let v = 14165617/53891470 - 8/125329. Calculate the common denominator of -7/6 and v.
1290
Let l(v) = -v**3 - 5*v**2 + 2*v + 11. Let k = 39 + -44. Suppose 4*g + 12 = -0*u + u, -4*g - 16 = -2*u. Calculate the lowest common multiple of l(k) and u.
4
Let y = -45 - -27. Find the common denominator of ((-34)/(-4))/(8/10) and (-114)/216 - (-4)/y.
8
Let u be (74144/(-37074) - -2)*-3. Let s = -2/105320063263 - 39697975485483369/2603090683608308. Let g = u - s. Calculate the common denominator of g and -53/7.
28
Let h = -165930423223/1182 - -140381081. Let p = h + -23/197. What is the common denominator of p and -37/24?
24
What is the common denominator of (162/(-60))/(340/(-17)) and -41/80?
400
Let g = -2/2413 - -147209/19304. What is the common denominator of 7*(-3)/24*-14 and g?
8
Suppose -2*s + 3*s - 3 = 0. Suppose s*h + h - 8 = 0. Calculate the common denominator of ((-30)/396)/(h/(-126)) and 97/20.
220
Suppose 8*p + 444 = 2*p. Find the common denominator of -49/3 and (-7)/(-7) - p/10.
15
Let g = -19700 + 393913/20. Suppose 5 + 7 = i. What is the common denominator of g and ((-52)/32)/(2/i)?
20
Let z be (-8028 + 0)/(7 + -31 - -11). Let y be ((-1486)/117)/(8/(-386)). Let j = z - y. What is the common denominator of j and 63/2?
18
Let o = 4 + -2. Let q(h) = -h**3 + 11*h**2 + 122*h - 24. Calculate the least common multiple of q(-7) and o.
4
Let l = 17 + -17. Let p be (-2 - l)/(-2)*0. Suppose -5*u + s = -53, s + 2 + 1 = p. What is the lowest common multiple of 6 and u?
30
Suppose -17 - 23 = 4*b. Let c = -1 - b. Let x = -35 + 40. Calculate the least common multiple of x and c.
45
Suppose 2*g + 1 = 15. Suppose 8 = n - 8. What is the lowest common multiple of n + -19 + 10*1 and g?
7
Suppose 0*t + 5 = t - c, 2*t - 3*c = 14. Suppose 4*h + t = -3, -h = -w + 5. Suppose w*g = 3*g + 6. Calculate the lowest common multiple of g and 4.
12
Find the common denominator of (-8)/60 + (3 - 321/180) and -31/8.
24
Find the common denominator of (-55 + 25)*6/704*4 and 77/12.
132
Suppose 15*j + 18 = 16*j. Let l = 12 + 4. Calculate the least common multiple of l and j.
144
Suppose 0 = 2*w + 10, 3*o + o + 2*w - 14 = 0. Calculate the smallest common multiple of o and 30.
30
Let g be (6/15)/((-2)/(-20)). Let b be 1 + 2 + g + -5. What is the common denominator of -83/12 and (-22)/(-20)*(b + -6)?
60
Let n(s) = -s + 10. Let z be n(-2). What is the common denominator of 36/7 and ((-64)/z + 3)*5?
21
Let o(h) = 2*h**2 + h + 2. Let p be o(-1). Suppose -4*a - 1200 = -2*y, 2*y = -p*y. Find the common denominator of (295/a)/(1/(-3)) and -89/8.
40
Suppose y = 3*n + 16 + 6, -4*y + 5*n = -53. Suppose 0 = -7*l + 179 + 52. Let q = -30 + l. What is the least common multiple of q and y?
21
Let n(v) = 4*v**2 + 2*v + 2. What is the least com
|
{
"pile_set_name": "DM Mathematics"
}
|
-1, -0.3?
-0.3
Let u = 3.74 + -0.74. Let f be ((-10)/(-12))/(120/(-96)). What is the nearest to -0.4 in u, -7, f, -3?
f
Let i = 292 - 296. Let t = -5.5 - -8.5. What is the nearest to -2 in -0.8, t, i?
-0.8
Let n = 1007 + -1002. Let p = -1541/2316 - 1/772. Which is the nearest to 1/19? (a) p (b) 4 (c) n
a
Let j = 57/44 + -417/220. What is the closest to j in 4, 1/4, -4, 2/7?
1/4
Let j = -7938.7 + 7932. Let z = 89 + -80.3. Let x = j + z. Which is the nearest to -0.3? (a) -0.1 (b) x (c) -2
a
Let p = 0.6 - 0.6. Let j = -0.375206 - 0.024794. Let q be 0/2 + 10/2. Which is the closest to p? (a) -2/9 (b) j (c) q
a
Let q = -46.02 + 46. Let z = 4481.5 - 4481. Let g = 4 - 3.6. What is the closest to 0.1 in z, q, g?
q
Let o = -5437 - -5437.3. Which is the nearest to 1.7? (a) o (b) 5 (c) -0.2
a
Let d = -2.9 + 3. Let c = -611 + 612. Let h be 261/(-54) + 6/2 + c. What is the nearest to -0.4 in h, d, -5?
h
Let h be 705/170*(-2)/(-96). Let q = 1/32 + h. Let d = -21727 - -21726.7. What is the closest to 1 in 1/2, d, q?
1/2
Let m = 0.25872 - 0.05872. What is the closest to -1 in 2, m, 6, -2/17?
-2/17
Let s = -19014 - -57044/3. What is the closest to 2 in -13, s, 0, -1/7?
s
Let v be (-738)/(-1722) - (-3)/(-7) - (-48)/44. Which is the closest to 1? (a) -1/10 (b) 8 (c) v
c
Let y = 8920.3 + -8920. Which is the nearest to 2? (a) -0.1 (b) y (c) -0.02 (d) -0.032
b
Let n(j) = -13*j + 9. Let u be n(6). Let q = 64 + u. Let d = 154 - 153. Which is the closest to -3? (a) 4 (b) d (c) q
c
Let f be 16/(-18) + 6/9. Let y = -0.0641 - 0.2359. Which is the closest to y? (a) -0.2 (b) 0.09 (c) f
c
Let p = -424.6 - -404.6. Let l be 1/4 + (-3)/108. Which is the closest to 0? (a) l (b) 3/2 (c) p
a
Let h be ((-1)/(-1))/(4/344). Let n = h + -604/7. Let r = 28.4 - 27.4. What is the closest to r in -3, 1/9, n?
1/9
Let k = 24 + 9. Let l be 4/6 - k/9. Let n be (l/(-8))/(5 + (-78)/12). Which is the nearest to 0? (a) n (b) 1/5 (c) -1
b
Let j = 154.845 + -154.845. Let x = -1/21 + -11/14. Which is the nearest to j? (a) -2 (b) x (c) 6 (d) -0.2
d
Let o = -2012 + 2012.1. What is the closest to 1/345 in 1, o, -3?
o
Let a = 1.9 - 1.86. Let x = -0.0203 + 0.3203. What is the closest to -0.1 in x, a, -4?
a
Let u = 5.09 + 0.01. Let z = 5 - u. Let n = 572 - 572. Which is the nearest to -0.4? (a) z (b) n (c) -0.3
c
Let b = 19596 + -19597. Let h = 1.5 - 1.8. What is the closest to h in 1/8, -1/7, b?
-1/7
Let x = -36/49 - -22/49. Which is the closest to 0.03? (a) 0.2 (b) -5 (c) x (d) -1
a
Let r(p) = -4*p**3 + 54*p**2 - 72*p. Let k be r(12). Let z = 1.8 + -2. Which is the closest to 0.3? (a) 1 (b) k (c) z
b
Let g be 1/27*(-22 - (-224)/14). Let z = -2.03 - -0.03. Let p = 2 + z. Which is the closest to 2/3? (a) p (b) 3 (c) g
a
Let u = 78835/3 - 26278. Let j = 4 - 0. Let d = -8 + j. Which is the nearest to u? (a) -2/21 (b) 0.5 (c) d
b
Let t be 10/(-8) - (-2)/8. Let y = -0.06 - 60.94. Let u = 61 + y. Which is the closest to 1? (a) -3 (b) u (c) t
b
Suppose 4*d + 3*n - 6 = 8*n, 4*d = -2*n - 8. Let o be (-165)/22*d/(-5). Let j = -1758/11 + 160. Which is the closest to j? (a) -2 (b) 0.4 (c) o
b
Let t = 72 - 395. Let m = t - -323.2. Which is the nearest to m? (a) 1/4 (b) -2 (c) -0.7
a
Let k = -10738 + 10738.22. Which is the nearest to 6? (a) -2 (b) k (c) 2/17 (d) -0.1
b
Let l = -1.094 - -10.094. What is the nearest to l in 3, 2, -40, -4?
3
Let u = 3/20 + 1/10. Let m = -3.9217 - 0.0783. Suppose -g = 4*v - 13, 10*g - 5*g = 4*v - 31. What is the closest to 0.3 in v, u, m?
u
Let h be (-2 - -1)*(-30)/(-105) - 321/(-21). What is the nearest to 0.3 in h, -3, 0.3?
0.3
Let g(m) = -25*m - 35. Let k be g(-2). Let p be ((-3)/k)/(-4 + (-434)/(-105)). What is the closest to 2/51 in -6, p, 0.2?
0.2
Let v = -8447 + 8524. Which is the closest to -1? (a) 4 (b) -0.2 (c) v (d) -4
b
Let g = 81.4 - 82. Let m be (-2 + 14/6)*0. Which is the closest to 0.1? (a) g (b) 4 (c) m
c
Let y = -2.9 + 1527.9. Let r = y + -1517.91. Let j = 0.09 - r. Which is the closest to 1/4? (a) j (b) -4 (c) -2/5
c
Let y be ((-552)/(-120))/23*-5. Let r = -0.2 + 3.2. Let l = -1.3 - -0.3. Which is the nearest to y? (a) -0.3 (b) r (c) l
c
Let z = -39 + 39.053. Let t = -54.253 - -54. Let q = z + t. What is the closest to 5 in 0.2, 3, q?
3
Let g be (26*(-9)/126)/(-1 + 0). Which is the nearest to -2? (a) 0.2 (b) 2 (c) g
a
Let w = 70.874 - 71. Let a = 0.24455 + 4.75545. What is the closest to w in -0.1, -2/7, a?
-0.1
Let u = -11.83 + 6.9. Let w = -8.93 - u. Which is the closest to -0.1? (a) -2 (b) w (c) -17
a
Let i = 0.026 + -0.126. Let c = -406 + 404.5. What is the nearest to -0.1 in i, c, 3?
i
Let s = -3821/3 - -1261. Let g = -12 - s. Let q be ((-3)/2)/(420/(-80)). Which is the closest to g? (a) 4 (b) q (c) 1/12
b
Let i be 2/1 + -1 + 0. Let h = 42 - -4. Let j = 51 - h. Which is the nearest to 1? (a) i (b) -2/7 (c) j
a
Let g = -125 + 130. Let k = -0.592 - -0.092. What is the closest to 1 in g, -2/5, k?
-2/5
Let s = -31.23 - -31.03. What is the nearest to 1/3 in s, 4, 2?
s
Let l = 0.08152 + -25.08152. Let r = -22.005 + 0.005. Let i = l - r. Which is the closest to 3/4? (a) 2 (b) -1 (c) i
a
Let y = 3.939 - 4.939. Let o = 4/9 + -10/9. Which is the nearest to -1.3? (a) y (b) o (c) 5
a
Let m = 0.34 - 0.04. Let n = -59340 - -59349. What is the nearest to n in 2/13, m, 0?
m
Let d = -25 - -27. Let n = 642 - 645. What is the closest to -0.1 in 2/13, d, n?
2/13
Let m = -1 + 4. Let p = -492 - -491.78. Let w = p + 0.52. What is the closest to -2 in w, -4, m?
-4
Let k = 3588 - 3590. Which is the nearest to -0.1? (a) 0.33 (b) 4 (c) 3 (d) k
a
Suppose 87*g - 1573 = 76*g. Let f = g + -717/5. Let k = 2.1 + -2. What is the nearest to k in f, -3, 0.7?
f
Let u = -508 + 505. Which is the nearest to 4? (a) u (b) -1 (c) 1/5 (d) -135
c
Let p = -36.5002 + -1.4998. Which is the closest to -1.6? (a) 3 (b) 0 (c) 1 (d) p
b
Let i = -1.51 - -0.51. Which is the closest to -1/3? (a) -33 (b) i (c) 0.3
c
Let g = 281 + -279. Let m be (-2*g/(-64))/(102/408). What is the nearest to 7 in -0.3, -1, m?
m
Let y = -0.7 + -0.3. Let z = -142503 + 142501. What is the nearest to 2/3 in y, 10, z?
y
Let c = -2.3118 - 0.0182. Let u = c - -1.83. What is the closest to u in -4, -0.5, -0.2?
-0.5
Let z = 7 + -9. Suppose -67 - 5 = -36*l. Which is the nearest to -2? (a) l (b) 5 (c) z
c
Let i = -17613 - -17610. Which is the closest to 1/23? (a) -5 (b) i (c) 2 (d) -0.4
d
Let q = -11 - -8. Let t = -658 - -270. Let k = t - -386. Which is the closest to k? (a) 2/3 (b) -0.2 (c) q
c
Let j = -0.809 - 0.191. Let g = 13 + -8. Let z be (-11)/(-2) + (-60)/24. Which is the nearest to j? (a) g (b) -3 (c) z
b
Suppose 95*x - 179 = -9 + 115. What is the nearest to -4 in x, -1, -3?
-3
Let i = -392249 - -392249. Let q = 6 - 6.4. Let u = 0.11 - 0.1. Which is the closest to -0.1? (a) u (b) i (c) q
b
Let i = -9.95 + 333.75. Let s = -324 + i. Which is the closest to s? (a) 1 (b) -1 (c) 3 (d) 2/9
d
Let n = -68 - -339/5. Which is the closest to n? (a) -4 (b) -2 (c) -32 (d) 9
b
Let s = 188.89 - 188.39. What is the closest to 8 in s, 3/2, 0.2, 6?
6
Let h = -1.7771 + -0.2229. Which is the closest to -2/5? (a) -5/6 (b) 1/4 (c) h (d) 2.9
a
Let u = -2.703 - -5.703. What is the closest to 1/4 in u, -2/9, 14/5, 1/8?
1/8
Let h = 3508/15 - 234. Let t be 280/60 - 1/(-3) - 5*2. Let r = 13/28 - -1/28. What is the closest to 0 in r, t, h?
h
Let q be (-2 + 1 + 1)/(-17 + (-108)/(-6)). Let l = 18 + -19. Which is the closest to l? (a) 8 (b) -3 (c) q
c
Let v = -380 + 381. Let o = 4 + -2. Suppose 2*j - 5*j + 3*f = -18, 4*j - 5*f - 27 = 0. What is the nearest to -0.1 in o, v, j?
v
Let y = 7 - 7.3. Let d = -620 + 620. Let x = 1033/3 + -345. What is the nearest to x in y, d, -3?
y
Let f be ((-18)/(-16)*(-76)/(-285))/((-30)/125). Which is the closest to 0.57? (a) -5 (b) 3 (c) f (d) 1
d
Let x = -210.01 - -212. Let l = x + -1.49. Which is the nearest to -0.1? (a) -21 (b) l (c) -1/2
c
Let y = -587 - -1001. Let c = -412.014 + y. Let d = -0.014 - c. What is the nearest to 0.5 in -1/4, d, 2?
-1/4
Suppose -22*y + 27*y = f + 30, 2*y - 36 = 2*f. Let m be ((-110)/f - 7) + (-1)/12. What is the nearest to 1/3 in 3, 0.9, m?
m
Let s = -17.
|
{
"pile_set_name": "DM Mathematics"
}
|
3*-0.022
0.0066
Product of 14 and -647.
-9058
-3 * -220
660
What is 0.0236 times 0.4?
0.00944
Product of -0.05432 and -0.1.
0.005432
Calculate -0.4*2.3.
-0.92
-0.4 times 194
-77.6
Multiply 0.118 and 0.06.
0.00708
Calculate -8*20.
-160
What is 0.1 times -1?
-0.1
0.4 times 90
36
Work out -7 * 4243.
-29701
What is the product of -41.3 and 0.2?
-8.26
1502 times 0.13
195.26
Work out -3 * 7.5.
-22.5
Work out -75 * -0.03.
2.25
0.3 * 0.55
0.165
Work out 0.18 * -792.
-142.56
0.01 * -0.63
-0.0063
Work out -0.1 * 89.
-8.9
Work out -0.35 * -4.9.
1.715
0.1*144
14.4
Work out 64.8 * 0.4.
25.92
0.5*-107
-53.5
4 * 0.1
0.4
What is the product of 0.2 and -0.02?
-0.004
Product of 11.53 and -15.
-172.95
-14 * -63.9
894.6
Work out -0.599 * 1.
-0.599
Work out 8 * 2.
16
-2 * -69
138
7 times -11
-77
23 times 45
1035
What is the product of 42.6 and -5?
-213
Multiply 148 and -1.3.
-192.4
Product of -379 and -0.4.
151.6
Work out 0.1 * -19.
-1.9
What is the product of -115 and -0.4?
46
Calculate 0.25*0.57.
0.1425
Multiply -65.2 and -3.
195.6
5 * -0.135
-0.675
Calculate -1.1*-3799.
4178.9
What is -0.0602 times 0.6?
-0.03612
-5*0.732
-3.66
What is -5 times -62.53?
312.65
Work out -2.2 * -0.0142.
0.03124
What is 6 times 28?
168
-13 * -1482
19266
What is the product of 2.3 and -5?
-11.5
Calculate -572*0.4.
-228.8
What is the product of 4 and -1027?
-4108
Product of 4948 and -5.
-24740
Calculate -1*0.04591.
-0.04591
-1.3263 * 0.4
-0.53052
Product of 2 and -2405.
-4810
-135.7 * -0.4
54.28
Product of 119 and 24.
2856
8 times 70
560
-7 * -160
1120
What is 4 times 5419?
21676
0.089 * 0.05
0.00445
-222.6*0.4
-89.04
1753*0
0
-764.5 * -2
1529
-3.5 times 0.04
-0.14
Product of -1 and 687.
-687
-40 * -5
200
-2855*-0.4
1142
Calculate 3072*2.
6144
94 * -2.2
-206.8
-5 times 1587
-7935
5*-15.7
-78.5
What is 2 times 0.2?
0.4
Work out 0.58 * 0.06.
0.0348
Calculate -127*1.
-127
-0.1*-86
8.6
Product of 1.2 and -417.
-500.4
Product of 0.01 and -7.
-0.07
Product of 0.5 and 3.
1.5
0 * -2688
0
0.2 times -0.34
-0.068
-74 times -2.2
162.8
-2*28.93
-57.86
-12 * -82
984
-0.4*0.093
-0.0372
Product of -5 and 0.077.
-0.385
538 * -0.2
-107.6
Multiply 3464 and -3.
-10392
Calculate -0.7*-0.1.
0.07
Work out -27 * -1.2.
32.4
0.0338 * 0.1
0.00338
What is the product of -0.5 and 0.164?
-0.082
-638 * 3
-1914
Multiply -757 and 1.
-757
Multiply 0 and 0.0819.
0
-88 times 1
-88
-0.173 times -3
0.519
Product of -0.3 and -1.5.
0.45
What is the product of 30055 and 1?
30055
Calculate -161*-0.3.
48.3
Calculate -0.04*3282.
-131.28
What is 631 times -3?
-1893
-4 times 22
-88
Product of -0.2 and 0.02.
-0.004
What is -0.1 times 1424?
-142.4
-0.4*0.025
-0.01
Multiply 1207 and -0.3.
-362.1
Multiply -66 and 43.
-2838
33*0.7
23.1
Multiply 0.1 and -0.0646.
-0.00646
70 * 0.06
4.2
Calculate -1117*-7.
7819
Calculate 0.2*-35.
-7
Work out 217.01 * 5.
1085.05
-316*-0.03
9.48
What is the product of 0.4 and -186?
-74.4
What is 3 times -4.628?
-13.884
What is the product of -1647 and 0.2?
-329.4
Work out -12 * -1.
12
198 times 3
594
Work out -0.024 * -0.4.
0.0096
Multiply 2.4 and -0.11.
-0.264
Multiply 4 and 1570.
6280
-0.2*136
-27.2
Multiply -0.76 and -309.
234.84
-5 * -30
150
Calculate 0.2*-0.3.
-0.06
What is 6 times -181?
-1086
Work out -4 * 29.
-116
Work out -16.7 * -1.
16.7
Calculate 22*-9.
-198
What is -0.4 times -202?
80.8
What is the product of 2203 and 8?
17624
Calculate 0.27*28.
7.56
Calculate -0.1656*1.
-0.1656
What is the product of 2020 and 0.2?
404
0.0538 times 10
0.538
What is the product of 394 and -6?
-2364
What is the product of -80 and 0?
0
Calculate -0.3*-2.
0.6
Multiply 0 and 11.
0
What is 551 times -0.2?
-110.2
-110 * -7
770
Product of -0.239 and -0.2.
0.0478
-24.71 times -5
123.55
392 * -2
-784
What is the product of -0.4 and 0.03171?
-0.012684
119 * 8.1
963.9
2 times 6.4
12.8
What is -0.00307 times 1?
-0.00307
Multiply -0.5659 and -4.
2.2636
11 times 0.5
5.5
What is 0.4 times -0.023?
-0.0092
What is the product of 0 and 579?
0
Product of -0.3 and -20.4.
6.12
Calculate -13593*-1.
13593
Multiply 4 and -0.0503.
-0.2012
Product of 0.13 and -32.
-4.16
-260 * -12
3120
0.1 times -19
-1.9
Product of 0.04278 and 4.
0.17112
Multiply 2 and -79.
-158
What is -1316 times 0.5?
-658
What is -1 times -0.37?
0.37
Calculate -64*0.08.
-5.12
215 * 0
0
What is -537 times 9?
-4833
55 times -115
-6325
What is the product of -1.357 and -20?
27.14
Product of 52 and 0.5.
26
0.1*0.1
0.01
What is the product of 0.5 and -832?
-416
Calculate 3*-0.081.
-0.243
Work out 403 * 19.
7657
-1 times 0.14
-0.14
Calculate 0.3*-1104.
-331.2
Calculate 12*0.24.
2.88
-580*-0.2
116
What is 0.4 times -1917?
-766.8
Work out -5 * -7633.
38165
Work out -0.05 * 91.
-4.55
Work out 15 * 33.
495
What is -2 times 6.4?
-12.8
Work out -1.1 * 86.3.
-94.93
What is -0.12 times -384?
46.08
-0.94 times 29
-27.26
Product of -0.1 and -274.
27.4
Calculate 0.5*-148.8.
-74.4
Calculate -3*0.4.
-1.2
-0.2 * 26
-5.2
What is 0.3 times 33?
9.9
0.4 * 0.63
0.252
0.5042*-0.2
-0.10084
5 * -1016
-5080
Multiply 3 and -0.47.
-1.41
Calculate -107*-28.
2996
-1167*-0.3
350.1
What is the product of -225 and 5?
-1125
Calculate 997*0.4.
398.8
What is -0.1178 times 1.2?
-0.14136
What is the product of 3 and 0.313?
0.939
What is 1 times 0.056?
0.056
Product of 0.4 and 19.
7.6
Calculate 789*1.5.
1183.5
Multiply 41 and -0.046.
-1.886
What is the product of 19.8 and 0.6?
11.88
What is the product of -510.4 and -0.5?
255.2
Product of 0.08032 and -0.4.
-0.032128
Calculate -0.3*-51.
15.3
What is -0.8 times -0.2?
0.16
What is the product of 3 and 53.06?
159.18
Product of 322 and -0.3.
-96.6
Multiply 4.7 and 0.
0
-73.6 times 34
-2502.4
0.0311 * -2
-0.0622
Work out 0.0449 * 0.76.
0.034124
Multiply -24 and -3.74.
89.76
What is the product of -1281 and 10?
-12810
Calculate 0.006*-27.
-0.162
-1.516 * 4
-6.064
What is the product of -0.07577 and 0.4?
-0.030308
33 times -21
-693
Multiply -0.27 and 0.8.
-0.216
What is -2582 times -0.1?
258.2
Multiply 3027 and 2.
6054
Multiply 0.3 and -4.112.
-1.2336
Calculate 8*0.89.
7.12
-80 times 0.2
-16
What is 2522 times 1?
2522
3314 * 1
3314
Work out 0.4 * -72.
-28.8
Product of 0.058 and 6.3.
0.3654
Work out -0.4 * -0.11.
0.044
What is 2248 times -3?
-6744
-3.3*0.1
-0.33
Multiply 0.2 and -308.
-61.6
Work out 0.058 * 16.5.
0.957
-588*-2
1176
What is 1 times 10.2?
10.2
What is -0.33 times -96?
31.68
-2*1286
-2572
What is -3336 times -2?
6672
-2917 * 0.03
-87.51
Work out -19.3 * 4.
-77.2
What is -1.295 times -4?
5.18
Multiply 0.2 and -15.8.
-3.16
What is the product of 2.2 and 0.6?
1.32
Multiply -0.0001 and 5.
-0.0005
-0.3 * 456
-136.8
What is -2.8 times -0.5?
1.4
What is -6 times 96?
-576
Work out 4 * -0.3.
-1.2
What is the product of -399 and 2?
-798
Multiply 10.6 and 8.1.
85.86
Product of -0.04 and -153.
6.12
What is -0.2 times 8.5?
-1.7
-561*3
-1683
What is -676 times -0.2?
135.2
Work out -10 * -44.9.
449
Calculate -1*19.5.
-19.5
Work out 0.34 * -245.
-83.3
0 times 17.75
0
507*-1.9
-963.3
Multiply 24.4 and -37.
-902.8
Product of 0.01 and -235.
-2.35
What is 6026 times -1?
-6026
What is 0.734 times -0.4?
-0.2936
Work out -4.93 * -2.
9.86
Multiply -0.262 and 9.
-2.358
Calculate -3*-190.
570
Multiply -4 and -0.045.
0.18
0 * 120.2
0
Product of 0.28 and -56.
-15.68
What is -0.2 times -695?
139
Multiply 0.95 and -1.
-0.95
-12.48 times 9
-112.32
Product of 9209 and -2.
-18418
What is -1 times -298?
298
Work out -2 * 0.18.
-0.36
6226.4 times -5
-31132
What is the product of 0 and 0.0822?
0
7 times -1.3
-9.1
Product of 0.5 and -1.304.
-0.652
What is -0.2 times -112?
22.4
-9.2 * 0.4
-3.68
-0.3 * 2255
-676.5
69*5
345
Multiply -5 and -0.2489.
1.2445
What is -0.051 times 3?
-0.153
What is 1 times 20?
20
Multiply -241 and 0.4.
-96.4
Multiply 0.158 and -5.
-0.79
Multiply 0.4 and 0.03.
0.012
0.9*-6
-5.4
Calculate -0.16*-0.24.
0.0384
Calculate 14*-0.9.
-12.6
-95 times 84
-7980
What is -0.2 times 0.85?
-0.17
What is 0.32 times 3?
0.96
Work out -3 * -0.0201.
0.0603
Product of 0.9 and -555.
-499.5
0.5*-121
-60.5
-566 * -2
1132
Calculate -0.052*0.29.
-0.01508
Product of -253 and -0.5.
126.5
22 times 1.77
38.94
Multiply -1.036 and 0.12.
-0.12432
0.1081 * -0.5
-0.05405
Product of -0.85 and -66.
56.1
-3.6 * -0.8
2.88
-0.777*2
-1.554
Work out 0.026 * 62.
1.612
-30 * 0
0
-1 * 230
-230
-81*5
-405
W
|
{
"pile_set_name": "DM Mathematics"
}
|
Collect the terms in -4919*n**2 + 4919*n**2 + n**3.
n**3
Collect the terms in 5*l + 20 - 3*l - 5*l.
-3*l + 20
Collect the terms in -22*r**3 + 4*r + 24*r**3 - 4*r.
2*r**3
Collect the terms in 1196*l**2 + 1196*l**2 - 2390*l**2.
2*l**2
Collect the terms in 5 + 18*o**2 - 64*o**2 - 3*o**2 - 62*o**2.
-111*o**2 + 5
Collect the terms in u**2 - 414 + 414.
u**2
Collect the terms in 3*h**2 - 3*h**2 + 342*h**3 - 340*h**3.
2*h**3
Collect the terms in -13*n**3 + 40*n**3 - 58*n - 13*n**3 - 15*n**3.
-n**3 - 58*n
Collect the terms in -3*v + 3*v - 270*v**3 - 195*v**3.
-465*v**3
Collect the terms in -15 + 15 + 3*a**3.
3*a**3
Collect the terms in 13*f**3 - 8*f**3 - 8*f**3.
-3*f**3
Collect the terms in -268 - 266 + 802 - 268 - 3*o**3.
-3*o**3
Collect the terms in 0*r**3 + 4*r**3 + 4*r**3 - 5*r**3.
3*r**3
Collect the terms in 2 - 139 + 137 - y**2.
-y**2
Collect the terms in -3 + 696*f - 694*f + 3.
2*f
Collect the terms in -86119 + 86119 + 7*g**3.
7*g**3
Collect the terms in 6 - 13 + 7 + 2*f**3 + 3*f**3.
5*f**3
Collect the terms in 1 - 15*r - 8 + 7.
-15*r
Collect the terms in -3*p**3 + 15*p + 19*p - 30*p.
-3*p**3 + 4*p
Collect the terms in 2 - 468*z**3 + 464*z**3 - 4 + 2.
-4*z**3
Collect the terms in 41*k + 43*k - 182*k + 49*k + 51*k.
2*k
Collect the terms in 33 - 33 + 392*n - 149*n.
243*n
Collect the terms in -2*z**2 - 2*z**2 + z**2 + 23.
-3*z**2 + 23
Collect the terms in -5*g + 21*g + 3*g + 77*g.
96*g
Collect the terms in 36*j**3 - 4*j + 0*j + 4*j.
36*j**3
Collect the terms in -3*m**2 + 4*m**2 - 3*m**2 + 17*m**2.
15*m**2
Collect the terms in -4*g**3 + 2*g**3 + 9 - 9.
-2*g**3
Collect the terms in -17162*i - i**3 - i**2 + 0*i**3 + 17162*i.
-i**3 - i**2
Collect the terms in 11*l - 38223 + 38223.
11*l
Collect the terms in -19*d**2 - 48 + 48 + 105*d**2.
86*d**2
Collect the terms in -7 + 7 - 2*x**3 - x**3.
-3*x**3
Collect the terms in -4*g**3 - 2008*g + 2008*g.
-4*g**3
Collect the terms in i**3 - 3*i**2 - 2*i**2 + 6*i**2 + i**2.
i**3 + 2*i**2
Collect the terms in 37*r - 7*r**3 + 13*r**3 + 33*r - 4*r**3.
2*r**3 + 70*r
Collect the terms in 10*f - 7*f - 4*f.
-f
Collect the terms in 554 - 554 + 383*u**2.
383*u**2
Collect the terms in -7*v**3 - 7*v**3 - 4*v**3 + 0*v**3.
-18*v**3
Collect the terms in -262 + 262 - 67*s**2.
-67*s**2
Collect the terms in 2*i + 4 - 2*i + 2*i**2.
2*i**2 + 4
Collect the terms in 2*u**3 - 493 + 493.
2*u**3
Collect the terms in -256*c**2 - 248*c**2 + 14*c**3 + 504*c**2.
14*c**3
Collect the terms in -63 - 57 - 58 + 178 - 5*n.
-5*n
Collect the terms in 33*t**2 - 2*t + 2*t.
33*t**2
Collect the terms in 9*j**2 + 6*j**2 + 10*j**2.
25*j**2
Collect the terms in 42*s - 22 + 22.
42*s
Collect the terms in -7*p - 9*p + 0*p + 20*p.
4*p
Collect the terms in -3 + 2 - 4*f**2 - 2 + 3.
-4*f**2
Collect the terms in -4*u + 1035 - 1035.
-4*u
Collect the terms in 19*a + 10*a + a**2 + 16*a.
a**2 + 45*a
Collect the terms in 1148*s**3 - 2302*s**3 + 1157*s**3.
3*s**3
Collect the terms in 128*r**3 - 39*r**3 + 213*r**3 + 105*r**3.
407*r**3
Collect the terms in 4*g - 8*g - 7*g - 8*g.
-19*g
Collect the terms in -479 - y**2 - 477 - 470 + 1426.
-y**2
Collect the terms in -107*x**2 - 121*x**2 + 237*x**2.
9*x**2
Collect the terms in 199*j + 62*j + 99*j.
360*j
Collect the terms in 62*o**2 + 2*o**2 - 2*o**2.
62*o**2
Collect the terms in 101*o**2 - 229*o**2 + 106*o**2.
-22*o**2
Collect the terms in -17 + 3*j - j - 10 + 7.
2*j - 20
Collect the terms in 2*m**3 - 18 + 18.
2*m**3
Collect the terms in 8*n - 7*n - 16*n - 7*n.
-22*n
Collect the terms in 39*h + 27*h**3 + 117*h**3 - 39*h.
144*h**3
Collect the terms in -4 - 12 - 2 + 31*s.
31*s - 18
Collect the terms in 6*k - 5*k**2 - 11*k + k + 4*k.
-5*k**2
Collect the terms in -7*t - 44346 + 44346.
-7*t
Collect the terms in 59*a**3 - 7*a**3 + 4*a**3.
56*a**3
Collect the terms in -6 - 9*h**2 + 2*h**2 + 6.
-7*h**2
Collect the terms in 21*f + 18*f - 9*f.
30*f
Collect the terms in 17*n**3 + 3 - 3 + 11*n**3.
28*n**3
Collect the terms in 3 - 3 + 23*r.
23*r
Collect the terms in -a + 5*a + 2*a + 4*a.
10*a
Collect the terms in 213*s**3 - 415*s**3 + 205*s**3.
3*s**3
Collect the terms in -4*d**2 + 5*d**2 + d**2.
2*d**2
Collect the terms in 447*o**2 + 8*o - 8*o.
447*o**2
Collect the terms in -b**3 - 33*b**2 - 31*b**2 + 64*b**2.
-b**3
Collect the terms in 9*s + 0*s - 2*s - 4*s.
3*s
Collect the terms in -k + 21482 - 21482.
-k
Collect the terms in 1 + 3 + 0 + 3*s - 2*s.
s + 4
Collect the terms in 117*l - 54*l - 55*l.
8*l
Collect the terms in -4*r**2 + 3*r**2 - r**2 - r**2.
-3*r**2
Collect the terms in -477*u + 6*u**3 + 477*u.
6*u**3
Collect the terms in 7*h + 2*h - 3*h - h.
5*h
Collect the terms in -76*v + 46*v + 32*v.
2*v
Collect the terms in 156942 - 3*k - 156942.
-3*k
Collect the terms in -415 - 4*m**2 + 415 + 9*m**2.
5*m**2
Collect the terms in -57*i**3 + 31*i**3 + 89*i**3 + 22*i**3.
85*i**3
Collect the terms in 6 + 0 - 13 - 9*j + 7.
-9*j
Collect the terms in -30*l**2 + 20*l**2 + 35*l**2.
25*l**2
Collect the terms in -3 + 3 + 75*t.
75*t
Collect the terms in -21*j + 33*j + j**2 + 2*j**2.
3*j**2 + 12*j
Collect the terms in -222 + 8*b**2 + 2*b + 222 - 2*b.
8*b**2
Collect the terms in -11*w + 11*w + 338 - 338 + 9*w**2.
9*w**2
Collect the terms in 11*u**3 - 5*u**3 + 2*u**3 - 11*u**3.
-3*u**3
Collect the terms in -18 - 2*i**2 + 2*i**2 + 9*i**3 + 17.
9*i**3 - 1
Collect the terms in -2*c**3 - 2*c**3 - 4*c**3.
-8*c**3
Collect the terms in 4*z - 9*z + z + 3*z.
-z
Collect the terms in -3*q - 2 + 23 - 2 + 2.
-3*q + 21
Collect the terms in -13*c + 8*c + 11*c.
6*c
Collect the terms in 17*c**3 - 40*c**2 - 33*c**2 + 73*c**2.
17*c**3
Collect the terms in i**3 - 34*i**2 + 51*i**2 - 17*i**2.
i**3
Collect the terms in 17*m + 0*m + 9*m + 2*m - 48*m.
-20*m
Collect the terms in -180*t**2 - 32*t + 32*t + 183*t**2.
3*t**2
Collect the terms in 126 + u**2 - 126.
u**2
Collect the terms in -33*z + 72*z + 2*z**2 + 95 - 39*z.
2*z**2 + 95
Collect the terms in 2*b - 3*b - 2*b.
-3*b
Collect the terms in -2*i**3 + 45*i**2 + 25*i**3 - 48*i**2.
23*i**3 - 3*i**2
Collect the terms in -9*c**3 + 5*c**3 + 4*c**3 + c**3.
c**3
Collect the terms in -57*c - 50*c + 153*c - 62*c.
-16*c
Collect the terms in 11*p**2 - 14*p**2 + 53*p**2.
50*p**2
Collect the terms in -37*w + 37*w - 2*w**3.
-2*w**3
Collect the terms in -1 + 131*u + 3 - 1.
131*u + 1
Collect the terms in 75*k - 35*k - 35*k.
5*k
Collect the terms in 4*z**2 - 11*z**2 - 347*z**3 + 348*z**3.
z**3 - 7*z**2
Collect the terms in 121*d**2 + 113*d**2 + 121*d**2 - 357*d**2.
-2*d**2
Collect the terms in -165*t**2 + 359*t**2 + 249*t**2.
443*t**2
Collect the terms in -93*i**2 - 56*i**2 - 4*i**2.
-153*i**2
Collect the terms in 17*p + 12*p - 33*p.
-4*p
Collect the terms in -o**3 - 6*o**3 - 140*o + 140*o.
-7*o**3
Collect the terms in 35*r - 147*r + 32*r + 37*r + 35*r.
-8*r
Collect the terms in 8 - 220 + 212 + n**2.
n**2
Collect the terms in 13*f**2 - 1 + 1 - 17*f**2.
-4*f**2
Collect the terms in -9*q - 80*q - 7*q.
-96*q
Collect the terms in 6 - 11*r - 72*r - 7.
-83*r - 1
Collect the terms in 10 - 90*z**3 - 17 + 7.
-90*z**3
Collect the terms in -7*f - f**2 + 24*f - 17*f.
-f**2
Collect the terms in -37*j**2 + 9*j**3 + 18*j**2 + 19*j**2.
9*j**3
Collect the terms in 83*v**2 + 3*v**3 - 83*v**2.
3*v**3
Collect the terms in 113*o - 37*o - 36*o - 39*o.
o
Collect the terms in 3*l**3 - 6580246*l + 6580246*l.
3*l**3
Collect the terms in 5*i - 2*i**3 + 4*i**3 + 3*i.
2*i**3 + 8*i
Collect the terms in -33*g**2 - 51*g**2 + 85*g**2.
g**2
Collect the terms in -1 + 3*i**3 - 685*i + 1 + 685*i.
3*i**3
Collect the terms in 20 + 20 - 40 + 142*b**3.
142*b**3
Collect the terms in -4*w + w - 9*w + 2*w.
-10*w
Collect the terms in 156*k**2 - 326*k**2 + 155*k**2.
-15*k**2
Collect the terms in -283974 + 283974 - 2*k.
-2*k
Collect the terms in -14*o - 13*o + 8*o - 12*o.
-31*o
Collect the terms in 2*n - 345 + 345.
2*n
Collect the terms in 23 + 27 - 64 + 14 - 3*n.
-3*n
Collect the terms in -47*n + 100*n - 57*n.
-4*n
Collect the terms in -10*r + 30*r - 20*r - 33*r**2.
-33*r**2
Collect the terms in 8*d**3 + d**3 + 2*d**3 + 0*d**3.
11*d**3
Collect the terms in 7*d**3 - 2175*d**2 + 2*d**3 + d**3 + 2171*d**2.
10*d**3 - 4*d**2
Collect the terms in -2*z + 7*z - z**2 - 5*z.
-z**2
Collect the terms in 6 - 6 - 17*b.
-17*b
Collect the terms in -4*p**2 - 4*p**2 + p**2.
-7*p**2
Collect the terms
|
{
"pile_set_name": "DM Mathematics"
}
|
r g.
5
Suppose -3*s - 4 = 8, 2*s - 12 = -4*c. Solve -u - 16 = -c*u for u.
4
Let z(t) = t**3 - 3*t**2 + t + 1. Let d be z(3). Let v = d + -6. Let u = 2 + v. Solve u*j + 15 = -3*j for j.
-5
Suppose -2*d + 15 = 5*z, -5*z + 5 = 2*d + 2*d. Suppose 0 = m - 2*m - 4, -z*a - 4*m = -4. Suppose -2*n - n = -75. Solve a*u + n = -u for u.
-5
Let h be 6/(-3) - 2 - -19. Solve -2*k - h = k for k.
-5
Let g be (-368)/(-96) + (-2)/(-12). Solve q - g = -2 for q.
2
Let w = 11 - 9. Suppose -4*r = w*t - 36, -r = t - 2*t - 9. Solve 11 + r = -4*s for s.
-5
Suppose -17 = -m - 14. Solve m = -5*u - 7 for u.
-2
Let q = -72 + 75. Solve q*t - 2 = -11 for t.
-3
Let t be 12*(-2 + 6/2). Solve 3*a = -a + t for a.
3
Let z(n) = n**2 + 7*n - 14. Let k be z(-9). Solve m - 2*m = -k for m.
4
Let q(t) be the second derivative of -t**3/6 + t**2/2 - 6*t. Let x be q(-4). Solve -x*g = 10 - 30 for g.
4
Let a = -8 + 13. Solve 6 = a*p + 1 for p.
1
Let y(t) = t**2 - 2*t + 6. Let h be y(3). Solve 0 = -2*a + 1 + h for a.
5
Suppose -2*v - 2*r - 2 = 0, v + 5*r + 5 = 3*v. Solve -5*i + 10 + 15 = v for i.
5
Suppose 8 = 2*k + 2. Let d = k + 0. Solve -1 = d*l - 7 for l.
2
Suppose 20 = h - 5*k, 0*k - 4*k - 16 = 2*h. Solve 0 = 2*r - h*r + 6 for r.
-3
Let u = -7 - -5. Let i be u/(-6) + 11/3. Solve 0 = 3*v + v + i for v.
-1
Let m(k) be the first derivative of k**4/4 + k**3 + k**2 + 3*k - 4. Let w be m(-2). Solve -u = -w*u + 10 for u.
5
Let i be 7/1 - (-1 - -2). Let x = i - 5. Let b be x - 1*(-2 + 2). Solve -b = s - 3 for s.
2
Suppose 20 = -2*g - 2*t, -2*g + 3*g + 4*t + 22 = 0. Let q be (3/g)/(2/(-4)). Solve q = 4*s + 9 for s.
-2
Let n be (0 + 9)*1/3. Let j = 6 - 4. Let t be j + 0 - -3*2. Solve t = n*c + c for c.
2
Suppose l - 25 = -4*l. Let n be (-3)/9 - 62/(-6). Let g(s) = -8*s - 41. Let b be g(-7). Solve -l*u = -n - b for u.
5
Let f be (-876)/(-54) - (-4)/(-18). Let a = -11 + f. Solve a = -6*q + q for q.
-1
Suppose 3*j = 2*j. Suppose -2*q - 35 = -5*m, 0*q - 5*q = 4*m + 5. Solve j*v = -m*v + 20 for v.
4
Let d(f) = f**3 - 2*f**2 + 2*f + 1. Let z be d(2). Suppose 8*p - z*p = -12. Let j = -2 - p. Solve -5*n - j - 3 = 0 for n.
-1
Suppose -80 = -z - 3*z. Suppose -q = -2 - 3. Suppose -q*x = -x - z. Solve 17 = -3*f + x for f.
-4
Suppose -8 = 5*i - 4*g, 6 = -5*i + 3*g - 0. Suppose -4*t = -0*t - 20. Suppose i*n + t = n. Solve 2 - n = -d for d.
3
Let d be ((-1)/2)/(5/(-30)). Let h(o) = -o**3 - o. Let x be h(-2). Solve -x = -d*y + 5*y for y.
-5
Let c = 13 + -4. Let t = 14 - c. Let m(y) = y**3 - 6*y**2 + 5*y + 4. Let h be m(6). Solve -t*x - 9 = -h for x.
5
Let i = 1 - -2. Solve -8 = -5*o - i for o.
1
Let x(o) = o**2 + 9*o - 14. Let w be x(-10). Let n be w/10*(-11 + 1). Let k(t) = -t + 6. Let g be k(5). Solve -3*r = -g + n for r.
-1
Let i be (-21)/(-105) - 2/10. Solve -5*c - 15 = -i*c for c.
-3
Let t be 2/((-4)/18*-1). Let b be (1 - 0)*(-4)/(-1). Suppose -b*d = -t + 1. Solve -d*v = 7 - 3 for v.
-2
Suppose -3*r = -r - 4. Let f(u) = -u + 8. Suppose 0 = -3*y, -1 = -o + y + 5. Let d be f(o). Solve r*l - 12 = -d*l for l.
3
Suppose 2*z = 4*t + 16, 5*z + 5 = t + 54. Solve -z = 5*l + 10 for l.
-4
Suppose 2*w = 3*a + 21, -8 - 7 = -w + 3*a. Let j = w + -4. Solve -x = j*x + 6 for x.
-2
Let f = 14 + -10. Solve f*z = -3 - 5 for z.
-2
Suppose -2*g + 3*v - 7 = -4*g, g = 4*v + 9. Suppose g*a - 3*a = 0. Solve -2*o - 8 + 0 = a for o.
-4
Suppose -11*f - 5 = -12*f. Solve -6 = f*v + 14 for v.
-4
Suppose -k - 2*o - 14 = 2*o, 22 = 3*k - 4*o. Suppose -3*n - k*n = 70. Let g be (-4)/n - 104/(-28). Solve g = -3*i + 7*i for i.
1
Let t be (1/2)/((-8)/(-80)). Let i(s) = s**2 - 5*s + 3. Let g be i(t). Solve -g*r + 6 = -0 for r.
2
Let k(j) = -j. Let s be k(-1). Suppose -s = -v + 2. Suppose -4*l + 3 = 5*i, -v*l + 0*i - i = -5. Solve l*d + 1 - 9 = 0 for d.
4
Suppose m = 6 - 1. Suppose u - 2*u = -3. Suppose -d - 15 = -u*x - x, -5*d + 5 = 0. Solve -x*k = k + m for k.
-1
Let w = 4 - 7. Let o = w + -1. Let d = o - -4. Solve d*t + 4 = t for t.
4
Let t = 2 - -2. Suppose -t*y = -u - 14, 30 = 2*y + 3*y + 5*u. Let x(v) = v - 2. Let h be x(y). Solve -3 + 7 = h*n for n.
2
Suppose 0 = 4*d - 3*d + 6. Let j(o) = -o**3 - 6*o**2 - o - 3. Let z be j(d). Solve 0*w - w - z = 0 for w.
-3
Let k = 2 - -4. Let c(o) = o**2 - 5*o - 3. Let i be c(k). Solve -2*z = i*z - 10 for z.
2
Let h = -11 + 26. Let u = 15 - h. Solve u = -l - 0*l - 4 for l.
-4
Let o = -7 + 12. Let l = -5 + o. Suppose 2*c = -3*r + 19, l*r + 3*r - 23 = -4*c. Solve 2*a = r + 1 for a.
3
Let a(s) = s. Let p be a(5). Suppose 0 = 3*k + g + 4*g - 10, -p*k = 5*g - 20. Let x = -1 + k. Solve -x*r = -0*r - 4 for r.
1
Let d be -5*1*33/(-15). Suppose 5*v - d + 1 = 0. Solve -v*w + 4 - 2 = 0 for w.
1
Let x = 46 - 45. Solve -3*h - 2 - x = 0 for h.
-1
Suppose -f = 5*a - 3*a - 16, 3*a - 59 = -5*f. Let l = f + 10. Let j = -1 + 6. Solve -3*b - l = -j for b.
-5
Let d be 2/((-3)/((-9)/2)). Suppose -7*s = -5*s - 4. Suppose s*a - 4 = -j, -j - 4*j = -4*a - 20. Solve -7 = -j*v - d for v.
1
Let t be ((-2)/4)/((-5)/40). Solve -t*m = 6 + 6 for m.
-3
Let j be 37/7 - 8/28. Suppose j*a = a. Suppose 7*x = 4*x + 6. Solve x*z = -a*z - 6 for z.
-3
Suppose -25 = -4*c - 5*n, -c + n - 1 = -5. Solve c = -4*r - 11 for r.
-4
Let y = -50 - -50. Solve y = -0*g + 5*g + 15 for g.
-3
Let b(z) = z - 2. Let y be b(3). Let l = y + 1. Solve -7*k + 25 = -l*k for k.
5
Let i = -1 + 1. Suppose -2*q + i*q = -3*w + 8, 0 = 4*w + q - 18. Let j be (1 - (2 - w)) + -1. Solve 0 = -3*f + j*f + 2 for f.
2
Suppose -3*m - m - 27 = -5*j, -10 = -2*j + 2*m. Let u = -1 - -6. Suppose -15 = -0*h - u*h. Solve -j = i - h for i.
-4
Let r = 17 - 14. Suppose r*l - 44 = -l. Let c = 10 - 6. Solve -l + 31 = -c*b for b.
-5
Let j be 0*((4 - 0) + -3). Suppose -4*q = 2*n - 8, q + q + 12 = 3*n. Solve -d + 4 + j = q for d.
4
Suppose 4*k + 9 - 2 = 3*u, 3*u + 4*k - 47 = 0. Solve 5*d = -6 - u for d.
-3
Let d be 10/(-6) - 1/3. Let r be ((d - 1) + -32)/(-1). Suppose 2*c - 110 = -5*a - r, -4*a + c = -60. Solve -10 = 5*g + a for g.
-5
Suppose -3*j - 4*k + 75 = 2*j, 0 = 4*k. Solve -4*u + j = 3 for u.
3
Suppose 0 = -12*j + 7*j + 10. Suppose -4*r - 32 = -4*m, 9*r - 16 = -2*m + 4*r. Solve -j*d - m = -0 for d.
-4
Let c = 34 + -32. Solve -12 = q + c*q for q.
-4
Suppose -1 = 2*b - 2*d - 3, -5*d + 25 = 0. Solve b = -4*m + 26 for m.
5
Let j = -2 + 6. Suppose 0 = -3*t + 2*d + 6, 2*t + 2*d - 4*d = j. Let u be (-12)/9*(-6)/t. Solve -u*y - 14 = 6 for y.
-5
Let s = -2 + 7. Suppose -s*i = -0*i - 20, 24 = 2*u + 5*i. Let q be 31/11 - u/(-11). Solve -q*m - 4 + 1 = 0 for m.
-1
Let s be ((-2)/6)/(6/(-198)). Suppose 21 = -s*b + 14*b. Solve -4 = 3*a - b*a for a.
1
Let p be 0 - 0 - (5 - -1). Let y be ((-8)/p)/(4/6). Suppose y*d = 6*d - 80. Solve -4*l + 0*l + d = 0 for l.
5
Let n = -4 - -9. Solve -n*i + 2*i + 9 = 0 for i.
3
Suppose 3*u = -8*u. Solve 6*h - 2*h - 20 = u for h.
5
Let v(o) = 2*o**2 + 4*o - 2. Let x be v(-6). Let t(l) = -30*l - 1. Let y be t(1). Let z = y + x. Solve 2*s = 5*s - z for s.
5
Let s(f) = -f**3 - f**2 + 5*f. Let w be s(-3). Solve 2*p - 5 = -w for p.
1
Let l(m) = m**3 - 6*m - 5. Let u be l(-2). Let x be ((-6)/1 + 4)*u. Solve x = y - 2 for y.
4
Let s(j) = -j**3 + 4*j**2 + j - 1. Let n be s(4). Suppose 0 = -2*f + 8, -n*h - 5 - 7 = -3*f. Let q be h + 2 - (6 - 4). Solve q*o + o = 0 for o.
0
Let o(d) = d**2 + 2*d + 2. Let r be o(0). Solve 0 = r*u + 3*u - 20 for u.
4
Let o be (-3)/(-15)*1*15. Solve 0 = -o*f - 0*f - 15 for f.
-5
Let m be ((-4)/3)/((-2)/9). Suppose m = 2*z - 0. Suppose z*g - g - 16 = 3*l, 2*g + 3*l = 4. Solve -13 = -g*h + 2 for h.
3
Let t(r) = r**3 - 4*r**2 - 2*r + 2. Let z be t(5). Let s = 10 - z. Let d = s - -7. Solve 0 = -d*x + 4*x - 8 for x.
2
Suppose 3*s - 6 = 9. Solve -2*v = -s - 3 for v.
4
Let y be -5 - (-6 - 4) - 5. Solve -3*c + 8 + 1 = y for c.
3
Let c = 32 - 27. Solve -c*w = 2 - 17 for w.
3
Let d = -8 - -11. Let a = d + -1. Solve a + 3 = -u for u.
-5
Suppose -r - 21 = -4*r. Suppose -4*a - 12 = -3*n, -3*n + 5 = -r. Solve -j - 3 = -a for j.
-3
Let f be (-24)/(-21) + (-1)/7. Solve 0 = 4*j - 5 + f for j.
1
Suppose 2*o + o - 21 = 0. Let a be 0*(o/(-2) - -3). Solve -5*k + a = 5 for k.
-1
Let t = 8 + -8. Solve t = -0*y + 3*y - 15 for y.
5
Let u(f) = -f**3 - 12*f**2 - 11*f + 2. Let a be u(-11). Solve a*t - 1 - 1 = 0 for t.
1
Let l be (-40)/(-15) + 4/(-6). Suppose 2*b + 3*i + 7 = -0, -3*
|
{
"pile_set_name": "DM Mathematics"
}
|
st to a in -2/13, v, -5?
v
Let x = -1.161 + 0.861. Let n = -17.3 - -17. What is the closest to x in -2, n, 0.5?
n
Let j = -26 - -25. Let z(p) = -p**3 + 4*p**2 - 3*p - 4. Let k be z(3). Let l = 11 - 10.9. Which is the nearest to l? (a) j (b) 2/7 (c) k
b
Let c = -1532 - -1530. What is the closest to c in -7, -3, 5, -2?
-2
Let l = -1648 + 1647.989. Let d be (4/(-6))/(-2) - 1. What is the nearest to 1 in l, d, 1?
1
Let m = 14717/26 - 566. What is the nearest to 1/4 in 54, -2, m?
m
Let w = 144.75 + -144.48. Let y = 0.2 + -0.4. What is the closest to y in 4, w, 2?
w
Let p = -21 + 21. Suppose p = -11*b - 37 + 4. What is the nearest to -2 in 0, b, 2?
b
Let r = 153.871 + -151.871. Suppose 5*j = 20, -3 - 1 = s - 3*j. Let c be 3/(-4) + (-2)/s. What is the closest to r in 1, 4, c?
1
Let j = -43296 - -43298. Let m = -0.2 + 0.1. Let d = -7 + 11. Which is the nearest to m? (a) 1/6 (b) j (c) d
a
Let f = -54 + 24. Let p = -28.25 - 1.25. Let q = f - p. What is the nearest to 0 in q, 0, -1/3?
0
Let i = 13953 + -13958. Which is the nearest to 758? (a) 1 (b) -5/3 (c) i
a
Suppose 0 = 5*z + 5 - 0, 0 = q + 4*z + 7. Let f = -12 + 8. Let g = 13037 - 13036. Which is the closest to -1/4? (a) q (b) f (c) g
c
Let a = -34289.4 - -34289. What is the nearest to 1 in -0.0446, a, 0.5?
0.5
Let x = -1 + 0.9. Let g = -7 + 7.143. Let p = g + -1.043. What is the nearest to x in p, -1, 0.1?
0.1
Let f = -656.16 + 662. Let m = f + -6.84. Which is the closest to -1/4? (a) m (b) 2/39 (c) -3
b
Let u(t) = -11*t - 106. Let j be u(-10). Suppose 0 = n + 5*q - 3 - 0, 0 = -j*n + 3*q + 12. What is the nearest to 6 in -2/5, -2, n, 0?
n
Let k = -1.1 + 0.1. Let n be 12/3*8/16. Let l be n/7*3/(24/14). Which is the closest to k? (a) l (b) 4 (c) -1
c
Let s be ((-1)/(-5))/(16/(-10)). Let q = 559 - 562.09. Let r = -1.09 - q. Which is the nearest to r? (a) 1/4 (b) s (c) -1/6
a
Let p(y) = 18*y - 1. Let r be p(2). Let d(n) = n**2 - 63*n - 171. Let s be d(66). Let l = r - s. Which is the closest to l? (a) -1 (b) 5 (c) -3
b
Let t = -4.8394 + 0.8394. Let n = 0.1 + 4.9. Which is the closest to -4/7? (a) t (b) 3 (c) n
a
Let y be -3*((-35)/(-33) + -1). Suppose 5*s = 20, 0*s + 2*s - 136 = 4*u. Let q = 41 + u. What is the closest to q in y, -0.4, 1?
1
Let m = 0.03 + -0.53. Let r be -2 - ((-244)/126 + 20/90). What is the nearest to m in 2/3, -2/13, r?
r
Let t = -185.3 - -193. Let d = -44.8 - t. Let q = d - -53. What is the nearest to -2 in 2/5, q, -3?
-3
Let j = 3994/3 + -15985/12. What is the closest to -1 in j, -2, 39?
j
Let v = -266.5 - -284. Let o = v - 16.5. Let d be (-6)/9*2/2. Which is the nearest to d? (a) 2/3 (b) o (c) 4
a
Suppose -5*h + 950 + 265 = -3*m, 5*m + 2117 = -7*h. Which is the nearest to 0.03? (a) m (b) 0.1 (c) 2/5
b
Let b = -23 + 22.7. Let n = -6006 - -6005. What is the nearest to n in 2/25, 5, b?
b
Let q = 1895/3798 - -2/1899. Which is the nearest to q? (a) 4 (b) 0.4 (c) 1/3 (d) 1
b
Let w be (-4)/(-16) + (-418)/8. Let m(a) = a**2 + 19*a + 76. Let t be m(-10). Let p be 14 - 10 - w/t. What is the closest to 0 in p, -0.5, -5?
p
Let k = -143.9 + 144. Suppose -x + 19 = -4. Suppose 0 = x*j - 24*j + 2. What is the nearest to k in -5/4, -0.5, j?
-0.5
Let g = -2.98 - -0.08. Let h = g + 3. What is the closest to -7 in h, -3/2, -2?
-2
Let g be 6/(-27) - 117/(-351). What is the nearest to 0.1 in 0.4, g, 214?
g
Let l = 509 - 466.7. Let j = -37.3 + l. Which is the nearest to -2/7? (a) 0.4 (b) j (c) -13
a
Let g = -0.05989 + -0.01011. What is the nearest to -0.2 in -4/3, 3/2, g?
g
Let k be (35/14 + 9/(-12))*(-282)/(-987). Suppose 2*q + 1 = 3. What is the closest to -1 in 2/3, k, q, 5?
k
Let l = -0.4905 - -127.4905. Which is the nearest to l? (a) -6/7 (b) -1 (c) 0.2 (d) -0.3
c
Suppose 53 = -6*q + 17. Let j be -6 - (q - (-9 - -4)). What is the closest to 0.2 in j, 1, -7?
1
Let g = 1382/1145 + -8/1145. Let i = -4/115 - -399/230. Let d = g - i. What is the nearest to d in 1, -3, 2/3?
2/3
Let y = -1388.1 + 1388. Which is the nearest to y? (a) -2/17 (b) 3 (c) 7 (d) -0.4
a
Let l be 44/(-24)*(-24)/(-66). Which is the closest to 13? (a) -9 (b) 0.05 (c) l (d) -0.2
b
Let l = 400 - 397.61. Let n = 2.49 - l. Let y be 2 - (2 + (-1)/(-2)). What is the nearest to n in y, 1/3, -3?
1/3
Let s = 345.8 + -367.8. What is the closest to -0.1 in -1/3, s, 23?
-1/3
Let h be 12/(-9)*((-198)/(-12))/(-11). Suppose y + 0*x = h*x + 3, 4*y - 25 = -5*x. What is the closest to 18 in -2, y, 2?
y
Let f = -17 - -18. Let t = 4.4 + f. Let g = -5.1 + t. Which is the nearest to 1/2? (a) -6/11 (b) -1.7 (c) g
c
Let h = -4 - -4.1. Let t = 0.7 + -0.8. Which is the nearest to t? (a) 3 (b) h (c) -4 (d) -7/2
b
Let p(r) = -2*r**2 + 38*r - 182. Let h be p(9). Let d = -2/27 + -77/54. Which is the closest to 1? (a) d (b) h (c) 0.5
c
Let d = 1358.53 + -1355.4. Which is the nearest to -2? (a) 4 (b) 0.3 (c) d
b
Let s = 35306 + -141225/4. What is the closest to -23 in -2/9, -1/9, s, 2/7?
s
Let u = 3.6 - 4. Let q = 15.16 + -143.66. Let h = 130.5 + q. What is the nearest to 0 in u, h, -0.1?
-0.1
Let i = 1.23 - 1.03. Let j = 3 + -1. What is the closest to i in 1/8, -1, j?
1/8
Let p = 0.03 - 0.43. Let y = -3358/7 - -480. Let z = 1417 + -1416.9. What is the nearest to z in p, 0.1, y?
0.1
Let j be 29 + -23 - (1 + 2). Let i = -84/5 - -86/5. Which is the nearest to 2? (a) j (b) i (c) -1/4
a
Suppose 10*s = 9*s - 5*z - 45, -15 = 3*z. What is the closest to -1/2 in 1/4, s, -10, -0.1?
-0.1
Let y = -93 + 93.8. Let i = 0.7 - y. Let l = 1 - 7. What is the closest to i in 0.2, l, -4?
0.2
Let f = -0.3 - -0.8. Let j = 1.1 + 0.9. Let p = -4.6 + -0.4. Which is the nearest to j? (a) -3 (b) p (c) f
c
Let f = -0.23875 - -2.23875. Which is the nearest to f? (a) 3/8 (b) 58/3 (c) 2/5
c
Let i = 6223 + -6223. What is the closest to -0.07 in 0.16, -0.4, i?
i
Let q = -10192 + 10200. What is the closest to -1 in -310, q, -0.2, 4?
-0.2
Let j be 110/66*(-4 + (-106)/(-25)). What is the nearest to 0.1 in 16/5, j, -4/13, 1/2?
j
Let u = -185 + 184. Let o(w) = -w - 8. Let m be o(-12). Which is the nearest to u? (a) -13 (b) -3 (c) m
b
Let f be (0 + (-4 - (-646)/161))/((-14)/(-98)). Which is the closest to -5/9? (a) f (b) 3 (c) -0.3 (d) 0
c
Let h(o) = -10*o**2 + 90*o + 1. Let b be h(9). Let f(g) = -12*g - 3. Let q be f(-2). Let v = 16 - q. What is the closest to b in -4, -7, v?
-4
Let o = -0.08011 + -0.91989. What is the closest to -11 in o, 7, -5/2?
-5/2
Let j = -81 + 125. Let l = j - 39. Suppose 0 = -3*g + 5*s - 54, 2*g - 7*s + 6*s = -36. What is the closest to 2 in g, -3, l?
l
Let h = -3 + 3. Let g = 0.1 - h. Let j = -344401/9 + 38267. What is the closest to g in j, 5, -1?
j
Let t = -20 - -24. Let u(h) = h**2 + h. Let c be ((-1)/(-4 + 3))/(-1 - 0). Let n be u(c). What is the nearest to -4 in -4, n, t?
-4
Let h = 483190/9 + -53688. Let c = -0.3 + -0.1. Let v = 27 - 53/2. What is the closest to v in h, -0.1, c?
-0.1
Let n(w) = 8*w + 76. Let k be n(-15). Let q be -3*(k/(-16) + -3). Which is the closest to -11/5? (a) 3 (b) 2/7 (c) q
b
Let m = -296 - -294. Let r be 168/48*1/m. What is the closest to -2/3 in -2, 5, r?
r
Let j = 31851 - 31851. What is the closest to -1 in j, 5, -0.05?
-0.05
Let x = -0.06 + -0.04. Let f = 515 - 1546/3. What is the nearest to f in -1/3, x, -1?
-1/3
Let a = -1762/2535 - -24/845. What is the nearest to a in -0.1, -347, 1?
-0.1
Let r = -2559/2926 - -5/154. Let o = r + 1/114. Which is the closest to 2/3? (a) 1.2 (b) o (c) -4
a
Let f be 0 - (0 + (-2)/8). Suppose -2*z + 18 = 4*x, 4*z + 708 = 3*x + 733. Which is the nearest to x? (a) f (b) -5 (c) -0.9
a
Suppose 2*h + 5*v = -5, 5*h + 4*v + 0 + 4 = 0. Suppose 273*l - 50*l = -78*l - 301. What is the closest to h in l, 0.08, 0?
0
Let c = 320.007 + -321. Let o = c - 0.007. What is the nearest to o in -0.4, 25, -0.2, -4?
-0.4
Let y = -3 + 3. Let a be 2/8 + 1/28. Let s be (6/(-12))/((-3)/9). What is the closest to y in s, a, -1/5?
-1/5
Let a be 4 + 34175/(-30) - 2/(-3). Let o = a + 1111. Let h = 24 + o. What is the closest to -1/2 in -2, h, -3/5?
-3/5
Let q(s) = s**3 + 6*s**2 - 9. Let y be 3 + ((-38)/4 - (-4)/8). Let v be q(y). Which is the nearest to 0? (a) v (b) -1/8 (c) -1/3
b
Let w be 1025/861 + ((-8)/6 - -1). Let r = 4.4 - 4. What is the c
|
{
"pile_set_name": "DM Mathematics"
}
|
mplify 1*(-5 + 1 + sqrt(704)).
-4 + 8*sqrt(11)
Simplify 1*(3*sqrt(95))/sqrt(5)*-1.
-3*sqrt(19)
Simplify (sqrt(2)*1*4)**2 + -3 + -3.
26
Simplify (-3*sqrt(475)*-3*3)**2.
346275
Simplify -3 + sqrt(1872)*2.
-3 + 24*sqrt(13)
Simplify (sqrt(2057)*-2)**2 + ((-1*sqrt(153))/sqrt(9))**2.
8245
Simplify (2*sqrt(1700)*-2)**2 + 4 + -1*sqrt(1700).
-10*sqrt(17) + 27204
Simplify (-3*sqrt(3146))/(sqrt(2) - (sqrt(50) + sqrt(150)/sqrt(3))).
11*sqrt(13)/3
Simplify -2 + (sqrt(5) - (sqrt(5)*-2*-5 - sqrt(5)))**2.
318
Simplify (sqrt(171) + 6*-4*sqrt(171))/sqrt(9).
-23*sqrt(19)
Simplify (5 + sqrt(8)/sqrt(4) + 0)**2.
10*sqrt(2) + 27
Simplify (sqrt(11) + 5*sqrt(66)/sqrt(6) - 4*(0 + sqrt(11))) + 4.
4 + 2*sqrt(11)
Simplify (sqrt(120)/(sqrt(24)/sqrt(4)))/(sqrt(20)/sqrt(2)*-1).
-sqrt(2)
Simplify ((2 + sqrt(2057))*-3 + sqrt(2057))*-2.
12 + 44*sqrt(17)
Simplify (-2*(sqrt(152) + (sqrt(152) + sqrt(152)*2 - sqrt(152) - sqrt(152))))/((sqrt(224)/sqrt(4))/sqrt(7)).
-4*sqrt(19)
Simplify (2*sqrt(360)/sqrt(6))/(sqrt(300) + 2*sqrt(300)).
2*sqrt(5)/15
Simplify (((sqrt(84) - (sqrt(84)*2 + sqrt(84)))*1)/sqrt(12))**2 + (sqrt(567) - (sqrt(567) + 1*sqrt(567) + 0) - sqrt(567))**2.
2296
Simplify (sqrt(42)/sqrt(28))/(sqrt(242) - (sqrt(242)*-1 - sqrt(242))).
sqrt(3)/66
Simplify -5 + 5 + sqrt(1216) + -3.
-3 + 8*sqrt(19)
Simplify (sqrt(17) + sqrt(17) + sqrt(68)/(sqrt(4) + sqrt(16)/sqrt(4)) + sqrt(17) - -1*sqrt(17)*5)**2.
4913/4
Simplify 3 + (sqrt(288)/sqrt(6))**2 + -2.
49
Simplify sqrt(228)/((sqrt(12) - 2*sqrt(1728) - sqrt(12)) + sqrt(12)).
-sqrt(19)/23
Simplify ((sqrt(384)*-1 - sqrt(384)) + sqrt(384))/((sqrt(96)*-2)/sqrt(12)).
2*sqrt(3)
Simplify (5*sqrt(162))/(sqrt(45)/sqrt(5)*6).
5*sqrt(2)/2
Simplify sqrt(55)/(sqrt(5) + 6*sqrt(10)/sqrt(2)).
sqrt(11)/7
Simplify ((-1*sqrt(5)*-1 - (sqrt(80)*-2 - sqrt(80)))*1)**2.
845
Simplify 0 + (sqrt(2) + 4)**2*-2 + sqrt(2) + 5.
-31 - 15*sqrt(2)
Simplify (sqrt(44) - (sqrt(44) - sqrt(176)/sqrt(4)))/sqrt(4) + 5 + sqrt(11) + 0.
5 + 2*sqrt(11)
Simplify 4 + (sqrt(27) + 2)**2 + sqrt(3).
13*sqrt(3) + 35
Simplify sqrt(108)*2 + ((sqrt(3) + 1)*2 - sqrt(3)).
2 + 13*sqrt(3)
Simplify -6*(-1 + (sqrt(432)*-1 - sqrt(432)))**2.
-10374 - 288*sqrt(3)
Simplify -2*(sqrt(98) + 0)**2 + -4.
-200
Simplify ((-3*sqrt(91)*-3)/sqrt(7))**2.
1053
Simplify sqrt(100)/sqrt(2) + sqrt(50) + 0.
10*sqrt(2)
Simplify (sqrt(306)*5)/((1*sqrt(2) - sqrt(2))*5 - sqrt(2)).
-15*sqrt(17)
Simplify sqrt(91)/(sqrt(7) - (sqrt(847) + (sqrt(847) - (sqrt(847) + (sqrt(847) - sqrt(847)*-2))) + sqrt(847) + sqrt(847) - sqrt(847))).
sqrt(13)/12
Simplify sqrt(126)/sqrt(2)*-3 + -2.
-9*sqrt(7) - 2
Simplify (1*(sqrt(13) - (-3 + sqrt(52)/sqrt(4))))**2.
9
Simplify -5 + 1 + sqrt(320).
-4 + 8*sqrt(5)
Simplify (((sqrt(2736) + sqrt(2736)*-2)*-1 - sqrt(2736)) + (sqrt(2736) + ((sqrt(2736) - (0 + sqrt(2736))) + sqrt(2736))*-1 - sqrt(2736) - sqrt(2736)))**2*-2.
-21888
Simplify (-2*(1 + sqrt(405) - sqrt(405))*6*4)**2.
2304
Simplify (sqrt(304)*-1)**2 - (sqrt(76) + -1).
-2*sqrt(19) + 305
Simplify ((5 + sqrt(13)*-2 - (sqrt(117) + 3)) + 0)**2.
-20*sqrt(13) + 329
Simplify (-3 + (sqrt(275) - -4*sqrt(275)*-1) + sqrt(275))**2.
60*sqrt(11) + 1109
Simplify 1 + -6*(0 + sqrt(891) + sqrt(891) - ((sqrt(66) + sqrt(66)*2)/sqrt(6))**2).
-108*sqrt(11) + 595
Simplify sqrt(44)/(sqrt(20)/(sqrt(5)*-2)).
-2*sqrt(11)
Simplify sqrt(51)/(sqrt(3)*4) - (sqrt(68)/sqrt(4) + -3).
-3*sqrt(17)/4 + 3
Simplify (sqrt(200) + sqrt(200) + -1 + -4 - -6*sqrt(160)/sqrt(5))**2.
-440*sqrt(2) + 3897
Simplify (sqrt(6300)*2 - sqrt(63) - sqrt(63))/(-2*sqrt(441)).
-9*sqrt(7)/7
Simplify ((sqrt(1053) - (sqrt(1053) - (-1 + sqrt(1053))))*3)**2.
-162*sqrt(13) + 9486
Simplify ((-3*sqrt(187))/sqrt(11) + sqrt(17))*3.
-6*sqrt(17)
Simplify 4*(1*sqrt(1216))**2*4.
19456
Simplify sqrt(3) + (sqrt(300) - (sqrt(300) - sqrt(300)*-1))**2 - ((sqrt(12)/sqrt(2))/sqrt(2))**2.
sqrt(3) + 297
Simplify (5 + sqrt(26)/sqrt(2))**2 + sqrt(117) + -1.
37 + 13*sqrt(13)
Simplify sqrt(12)*6 - (sqrt(3) + sqrt(3) + sqrt(3) + sqrt(3)*2 + sqrt(3) + sqrt(3) + 4)**2.
-163 - 44*sqrt(3)
Simplify (2*sqrt(19)*-1 + (sqrt(19) - sqrt(19)*-1) + -3)*5.
-15
Simplify ((sqrt(165) + (sqrt(165) - -2*sqrt(165)))/sqrt(5))/sqrt(3).
4*sqrt(11)
Simplify ((sqrt(6048) - (sqrt(6048) + -1*sqrt(6048))) + sqrt(42))/(sqrt(72)/sqrt(3)).
13*sqrt(7)/2
Simplify sqrt(108)*-2.
-12*sqrt(3)
Simplify (-2*(-2*sqrt(396))/(-1*sqrt(144) - sqrt(144)))**2.
11
Simplify (-5*(-2*sqrt(104)*1)/(sqrt(32)*2))**2.
325/4
Simplify 1*sqrt(1900) + -3 + sqrt(114)/sqrt(6).
-3 + 11*sqrt(19)
Simplify (sqrt(2) - sqrt(108)/sqrt(6)) + -2 + 0 + sqrt(2).
-2 - sqrt(2)
Simplify ((sqrt(1872) + 0 + -4)*6)**2.
-3456*sqrt(13) + 67968
Simplify sqrt(28) + (sqrt(112)/sqrt(4)*4)**2 + sqrt(1792) + -1.
18*sqrt(7) + 447
Simplify -3 + (sqrt(288) + sqrt(288)*2 + -4 - sqrt(288)).
-7 + 24*sqrt(2)
Simplify -4*-2*sqrt(363).
88*sqrt(3)
Simplify ((sqrt(1584)*-5 - sqrt(1584)) + sqrt(11))*3.
-213*sqrt(11)
Simplify -4*(0 + sqrt(153) + 1 + sqrt(2448)).
-60*sqrt(17) - 4
Simplify (1 + sqrt(52))**2*-5.
-265 - 20*sqrt(13)
Simplify (sqrt(133)*-2*5)/((sqrt(28)/sqrt(4) - sqrt(7) - sqrt(7))*3).
10*sqrt(19)/3
Simplify (-2*(sqrt(76) + 0))**2.
304
Simplify ((sqrt(170)*-1 + sqrt(170))/sqrt(10) + sqrt(17) + 3)**2.
6*sqrt(17) + 26
Simplify 4 + sqrt(432) + (3 + sqrt(432) + 0)**2.
84*sqrt(3) + 445
Simplify ((0 + sqrt(272))**2 - sqrt(272)) + (sqrt(119) + sqrt(119)*-2)/sqrt(7) - (-1 + (sqrt(17) - -2*(1 + sqrt(17)))).
-8*sqrt(17) + 271
Simplify (-2*-1*sqrt(425))**2.
1700
Simplify ((3 + sqrt(5)*-1)**2 - sqrt(5)) + sqrt(5) + sqrt(20)/sqrt(64).
-23*sqrt(5)/4 + 14
Simplify 5*-2*(sqrt(3) + 3 + -1).
-20 - 10*sqrt(3)
Simplify (4 + sqrt(1573) + sqrt(1573) + sqrt(1573) + -3 - -4*(sqrt(1573) + 1))**2.
770*sqrt(13) + 77102
Simplify sqrt(272)*1*-5.
-20*sqrt(17)
Simplify (sqrt(112) + (sqrt(112) - sqrt(112)*-2 - sqrt(112) - sqrt(112)) + -1)**2.
-16*sqrt(7) + 449
Simplify -3 + 4*sqrt(11)*1.
-3 + 4*sqrt(11)
Simplify (((sqrt(121) - 2*sqrt(121)) + sqrt(121))/sqrt(11) + -4)**2 + (sqrt(176)/sqrt(4)*-4 - sqrt(44))**2.
1116
Simplify (-6*(sqrt(147) - (-1*sqrt(147) + sqrt(147))))**2 + sqrt(147).
7*sqrt(3) + 5292
Simplify (sqrt(3) - (sqrt(3) - (sqrt(3) + (sqrt(3) + -3 + sqrt(3))**2)*3))*-5.
-315 + 165*sqrt(3)
Simplify (-3*(0 + sqrt(13)))**2 + (sqrt(13) - (sqrt(13) + (sqrt(65) + 2*sqrt(65) + sqrt(65) + sqrt(65) + sqrt(65))/sqrt(5))).
-6*sqrt(13) + 117
Simplify (sqrt(275)*-1)**2 + 4 + sqrt(275) + 2 + sqrt(275) + -3.
10*sqrt(11) + 278
Simplify sqrt(130)/(sqrt(1000)*2) - (1*sqrt(13)*-3 + 0)**2.
-117 + sqrt(13)/20
Simplify (((sqrt(51)*-2 + sqrt(51))*2)/(sqrt(21)/(sqrt(35)/sqrt(5)) + sqrt(3)))**2.
17
Simplify (-3*((sqrt(27) - sqrt(81)/sqrt(3)) + sqrt(27))/sqrt(9))**2.
27
Simplify (-4*(sqrt(11) + 3 + sqrt(11)) + (sqrt(1100) + 3 + sqrt(1100) - sqrt(1100)))**2.
-36*sqrt(11) + 125
Simplify ((sqrt(448) - (sqrt(448) - (sqrt(448) - sqrt(448)*-2) - sqrt(448)))*-5)**2 + 5.
179205
Simplify 6*((sqrt(102)*1 + sqrt(102))*1 - sqrt(102))/sqrt(6)*5.
30*sqrt(17)
Simplify ((sqrt(65) + sqrt(65)*3)*3)/sqrt(5).
12*sqrt(13)
Simplify (2*(sqrt(243) + -1)*-5)**2.
-1800*sqrt(3) + 24400
Simplify (sqrt(245)/sqrt(80) - sqrt(49))/(2*(sqrt(112) - sqrt(7) - sqrt(7))).
-3*sqrt(7)/16
Simplify sqrt(95)/sqrt(125) + -2.
-2 + sqrt(19)/5
Simplify (-2*((sqrt(39) - 1*sqrt(39) - sqrt(39) - sqrt(39)) + sqrt(39) - sqrt(39)))/(6*sqrt(6)/sqrt(2)).
2*sqrt(13)/3
Simplify (sqrt(900)/sqrt(12) + 3)**2.
30*sqrt(3) + 84
Simplify -5 + -5*(sqrt(6)/sqrt(3))**2.
-15
Simplify (-3*sqrt(28) - sqrt(7))**2 - (sqrt(343) + -3)**2.
-9 + 42*sqrt(7)
Simplify (sqrt(2430)*1)/(1*sqrt(96)).
9*sqrt(5)/4
Simplify 1*-1*sqrt(7) + (sqrt(7) - (sqrt(700)*-1)**2) + ((sqrt(42) - -2*sqrt(42))*-5)/sqrt(6).
-700 - 15*sqrt(7)
Simplify -4*((sqrt(7) - sqrt(175))**2*5 - sqrt(7)).
-2240 + 4*sqrt(7)
Simplify (1 + sqrt(272)*1 - (sqrt(272) + (sqrt(272) - (sqrt(272) - 2*sqrt(272)))*-1))**2.
16*sqrt(17) + 1089
Simplify ((sqrt(304) + 1 - sqrt(304))**2 - sqrt(19)) + 2 - (sqrt(19) - (sqrt(1539)*1)**2 - (sqrt(76)*-1)/sqrt(4)).
-3*sqrt(19) + 1542
Simplify -1 + sqrt(190)/(2*sqrt(10)).
-1 + sqrt(19)/2
Simplify (sqrt(931) + (sqrt(931) - (sqrt(931) - sqrt(931)*-2*4)))**2*-1*-1.
45619
Simplify (-3 + (sqrt(10)/sqrt(5))**2 - (1 + sqrt(8)/sqrt(4))) + -5.
-7 - sqrt(2)
Simplify ((sqrt(1053) - (-2 + (-2*sqrt(1053) - sqrt(1053) - sqrt(1053)))) + sqrt(1053) + -2*s
|
{
"pile_set_name": "DM Mathematics"
}
|
) = r**3 - 4*r**2 - 11*r + 8. Let z(g) = -5*c(g) - 4*s(g). Determine z(5).
6
Let d be 1 + 0 + -2 + 1. Suppose -4*n + d*n - p - 24 = 0, -12 = 3*p. Let b(m) = 4*m + 5*m + 7 + m**3 + 6*m**2 - 3*m. Calculate b(n).
2
Let x(a) = -2*a + 2. Let h(m) = m**3 + 7*m**2 + m + 4. Let v be h(-7). Let k be (-4)/(-2) + -1 + v. Determine x(k).
6
Suppose 4*d + 13 = -h, -d - 2*d + 2*h - 7 = 0. Let y be 0/(2 - (1 - 0)). Let w(m) = -2*m**3 - 3*m**2 + y*m**2 + m**3 - 3 - m**2 - 5*m. Give w(d).
3
Let j(s) = 0*s**2 - 1 + 0*s**3 - s**3 + 0*s**3 + 4*s**2 - 4*s. Give j(3).
-4
Let b(s) be the second derivative of -s**5/10 + s**4/6 + s**3/6 + s**2 - 15*s. Determine b(2).
-4
Let u(v) = 4*v**3 + 3*v**3 - 6*v**3 - 4 + 2*v - 2*v**2. Suppose m - n - 3 = 0, 3*n = -3*m + 8*n + 9. Give u(m).
11
Let m(y) be the first derivative of y**3/3 - y - 1. Let c = -1 + 5. Suppose 2 = c*j - 2. Determine m(j).
0
Let a(g) = 5 + 7*g + 1 + g**3 - 2 + 0*g**3 - 7*g**2. Let v(c) = c - 1. Let l(u) = -a(u) + 3*v(u). Give l(6).
5
Let y(b) = -1 + 3*b + 4*b**2 - 2 - 3*b**2. Let n be (1 - 0) + -4 + 5. Suppose 3*x - n = 4. Determine y(x).
7
Let f(x) be the third derivative of x**5/60 - x**4/8 - x**3/2 + 4*x**2 - x. Give f(5).
7
Suppose 1 = -4*x - 11. Let c(u) be the third derivative of 2*u**2 + 0 + 1/12*u**4 + 1/20*u**5 + 0*u + 1/120*u**6 - 1/2*u**3. Give c(x).
-9
Let a(f) be the second derivative of -f**3/6 - f**2/2 - 2*f. Let p be a(-1). Let m(z) = p + 7*z - 1 + 0. Determine m(1).
6
Let j = 1 - -1. Let u(v) = 6*v + v**3 + v**3 + 0*v**3 - v**3 + 6*v**2 - j. Give u(-5).
-7
Let g(z) be the third derivative of -1/6*z**3 + 0*z**4 + 0*z + 1/60*z**6 + 0 + 0*z**5 + z**2. Determine g(-1).
-3
Suppose 4*q - 3*u = 10, -2*q + 12 = 2*q - 2*u. Let o(w) = -3 + 8*w**3 + 1 + q*w**2 - 9*w**3. Determine o(4).
-2
Suppose 4*y + 4 = -0. Let j(u) be the second derivative of -7*u**6/360 - u**5/120 + 7*u**3/6 - u. Let d(w) be the second derivative of j(w). Calculate d(y).
-6
Suppose -2*m - s + 14 = 2*m, 25 = 5*m + 5*s. Let a(j) = 4*j**2 - 2*j - 3. Determine a(m).
27
Let k(i) = 4*i. Let f be k(1). Let h(t) = -f + 6 + 3 - t. Let s(z) = -z + 4. Let y be s(0). Determine h(y).
1
Let u(d) = -d + 2. Suppose 4*q + x = q - 8, 4*x = -8. Give u(q).
4
Let n = 13 - 4. Suppose 2*i = h - 5*h + 40, 0 = 2*h + 3*i - 24. Let b(u) = -1 + n*u + 6*u**2 - h*u. Give b(1).
5
Suppose -2*f + 9 = -m, -4*f + 2*f + 4*m + 24 = 0. Suppose 2*l + 24 = 4*y, f*y - 6 - 18 = 3*l. Let j(p) = -p**3 - 5*p**2 + 6*p - 4. Determine j(l).
-4
Suppose 5*j = 59 - 14. Let b(y) = -y + 5. Let f be b(j). Let v(s) = -9*s - 12. Let w(g) = 3*g + 4. Let x(u) = -4*v(u) - 11*w(u). Calculate x(f).
-8
Let o(b) = b. Let k be -2 + -5*(-12)/10. What is o(k)?
4
Let h(w) = -w - 7. Let p be h(-7). Suppose 0 = -4*j - 12, 4*r - j + p - 3 = 0. Let k(z) = 3 + 4 - 4*z + 3*z. Calculate k(r).
7
Suppose -u - 4*c = -4, -2*u + 4*c = 3*u + 28. Let i = 5 + u. Let d(y) = y**3 + y**2 + y - 1. Give d(i).
2
Let v(z) = -z + 7. Let i(m) = m**2 + m - 1. Let p be i(2). Let t be v(p). Let n(w) = w**3 - 2*w**2 + 2. What is n(t)?
2
Let n(a) = -a**3 - 9*a**2. Let f be n(-9). Let k(o) = -2*o - 7. Let u be k(-6). Let v(x) = 1 + u*x**2 - 14*x**2 + 8*x**2. Calculate v(f).
1
Suppose -3*p = -2*p - 2. Suppose 4*x + 4*h - 21 = -x, 0 = 3*h + 3. Let k(t) = -t**3 + 2 + 2*t + t**2 - x + 1 + 0. Calculate k(p).
-2
Let i(x) = x. Let o = -38 - -35. Determine i(o).
-3
Suppose 8*l + 3 = 5*l. Let w(j) = -2*j + 6*j**3 + j**3 + j. Give w(l).
-6
Let k = 41 - 17. Suppose 2*z - 24 = 3*n + 3*z, -3*n + 4*z = k. Let c = -5 - n. Let p(g) = -2*g**2 + 5*g - 3. Determine p(c).
-6
Suppose 0*r - 3 = r - 3*p, -3*p + 3 = 3*r. Let s(i) = 7 + 13*i - 12*i - 12. Give s(r).
-5
Suppose -c = -5*m + 18, -m = 5*c + 4 + 8. Let y(t) = 4*t - 1. Let v(l) = 3*l - 2. Let r(q) = c*v(q) + 2*y(q). Let k(d) = d + 3. Let z be k(-3). Calculate r(z).
4
Suppose 4*i = 4*h - 20, 0 = h + 2*h - 5*i - 21. Let t(l) = 7 + 7*l**3 - 12*l**3 + 4*l**3 - l + 5*l**h. Calculate t(5).
2
Let j(y) = y**3 + 4*y**2 + y. Let n(l) = l + 9. Let b be n(-9). Let s = b + -3. Determine j(s).
6
Let f(b) = -2*b - 2. Let h(m) = 3*m - 21. Let q be h(8). What is f(q)?
-8
Suppose -16 = -4*o + 56. Let u = -13 + o. Suppose -r - 15 = 3*i, -u*r = -i - i + 7. Let g(h) = -h**3 - 3*h**2 + 5*h + 5. Determine g(i).
1
Let k = 4 + -7. Let h(t) = -2*t**3 - 4 + 6*t**2 - 2*t**2 + 3*t**3. Determine h(k).
5
Let u(i) = 3*i - 7. Let k be u(3). Let g(x) = -2*x. Give g(k).
-4
Let q = -30 - -32. Let h(r) be the second derivative of -r**6/180 + r**5/40 - r**3/6 + 2*r. Let m(g) be the second derivative of h(g). What is m(q)?
-2
Let o(y) = 2*y. Let d(i) = i**3 + 9*i**2 + 8*i + 3. Let t be d(-8). Let f be ((-2)/t)/((-2)/(-3)). What is o(f)?
-2
Suppose -6 = -6*l + 3*l. Let t(j) = j**3 - 2*j**2 - 1. Give t(l).
-1
Suppose -3*i + q + 16 = 0, -7*i - 2*q + 12 = -2*i. Let f(o) = -i - o + 0 + 7. What is f(-3)?
6
Let r(w) be the first derivative of -5*w**3/6 + 3*w**2/2 - 2*w + 2. Let f(c) be the first derivative of r(c). Determine f(2).
-7
Let q(c) = c + 5. Let f be (1 + -1)*(-2)/(-4). Suppose -5*o + 0*o - 19 = -3*v, 2*o - 5*v = f. What is q(o)?
0
Suppose -16 = -4*j - 0. Let d(z) = 5*z**3 + 4*z**2 - 3*z + 1. Let n(a) = -a**3 - a**2. Let p(u) = j*n(u) + d(u). Determine p(2).
3
Let x(y) be the first derivative of 3*y**2/2 + 7*y - 5. Determine x(-5).
-8
Let n = 7 + -21. Let l = n - -34. Let v be (2/4)/((-2)/l). Let r(m) = -m - 5. What is r(v)?
0
Let t(c) = c**3 + 5*c**2 - 7*c - 4. Let a be t(-6). Let k = 4 - a. Let z(u) = -2*u**3 + u**2 + 2*u. What is z(k)?
-8
Let q(t) be the first derivative of 4*t + 1/3*t**3 + 4 + 3*t**2. Let m be (-1 - (0 - -3)) + -2. Give q(m).
4
Suppose 2*n - 4*n = -2. Suppose -y - 9 = -4*y. Let s(g) = 2 - 5 + y - n + 2*g. What is s(1)?
1
Let q(r) = -r**2 + r. Let d(g) = -10*g**2 - 7*g - 1. Let z(a) = -d(a) - 6*q(a). What is z(-1)?
16
Let t(p) be the first derivative of -p**3/6 + 2*p**2 + 3*p + 1. Let r(d) be the first derivative of t(d). What is r(3)?
1
Let y be ((-74)/(-6) + (-3)/9)/2. Let x(z) be the second derivative of -z**5/20 + 5*z**4/12 + 2*z**3/3 + 4*z**2 - z. Calculate x(y).
-4
Let w(m) be the third derivative of -m**5/120 - 5*m**4/24 - 5*m**3/6 - 5*m**2. Let c(a) be the first derivative of w(a). Calculate c(0).
-5
Suppose -5*w + 15 = 0, 3*p - 6*p - 9 = 3*w. Let g(s) = -s**2 - 5*s + 1. Determine g(p).
-5
Let y be (-4)/14 + (-69)/(-21). Let j(z) be the first derivative of z**2 + z + 1/3*z**y + 3. Determine j(-3).
4
Let q be (1*-2)/((-4)/(-6)). Suppose -z + 2*m + 1 = 0, z + 5*m + 4 = 2*m. Let y = z - q. Let d(i) = -2*i - 2. Determine d(y).
-6
Suppose 0 = t + 3*f - 12, t - 4*f = -3*t. Let k(n) = t*n - 4*n**3 - n**3 + 1 - 5*n**2 + 6*n**3. Suppose -12 + 0 = -3*i. Calculate k(i).
-3
Let z(v) be the third derivative of -v**6/120 - 3*v**5/20 - v**4/3 + v**3/2 - 15*v**2. Determine z(-8).
3
Let g be ((-4)/(-1 - 1))/2. Let m(r) be the second derivative of 3*r**5/10 - r**4/6 + r**2/2 + 2*r. Calculate m(g).
5
Suppose -5*b = -b. Let g(z) = 3*z + 12 - 2*z - 4*z + 4*z. Give g(b).
12
Let g(p) = -2*p**3 + p**2 - p + 5. Let h(k) = k**3 + 1. Let v(q) = -g(q) - 3*h(q). Give v(0).
-8
Let f(z) be the third derivative of z**4/24 + 2*z**3/3 - 18*z**2. Calculate f(-5).
-1
Let b(g) = -g**2 - 9*g - 8. Suppose 4*k = -9 - 19. Calculate b(k).
6
Let l(p) = p**2 - p - 1. Let j(z) = z**2 + z - 10. Let w be j(-5). Let q be (w/5)/(1 + 1). Determine l(q).
-1
Let u(g) = -4*g**3 - 4*g**2 + 4*g + 2. Let v(s) = s - 16. Let c be v(11). Let b(j) = -7*j**3 - 7*j**2 + 7*j + 4. Let i(w) = c*u(w) + 3*b(w). Calculate i(0).
2
Let q(t) = 6*t + 5. Let w = -3 - -7. Let s(o) = 5*o + 5. Let a(m) = w*s(m) - 3*q(m). Let g = 31 - 36. What is a(g)?
-5
Suppose 0 = q - 2*k - 8, 5*k = -q + k - 10. Let u(h) be the first derivative of -1 - 3*h**2 - 2 + q. Calculate u(1).
-6
Let c(p) = 3*p**2 - 7*p + 1. Let k(l) = 2*l**2 - 4*l + 1. Let m(a) = 3*c(a) - 5*k(a). Calculate m(-2).
-4
Let k = -19 + 27. Let b(s) = -s**2 + 7*s + 11. Let z be b(k). Let x(p) = p**2 - 2*p - 2. Calculate x(z).
1
Let q(a) = -3*a + 7. Let k(v) = -2*v + 3. Let y(u) = -5*k(u) + 3*q(u). What is y(-6)?
0
Let d(v) be the second derivative of 0 + 9*v + 2/3*v**3 - 1/2*v**2 - 1/4*v**4 - 1/20*v**5. Determine d(-4).
-1
Let a(g) = g**3 - 4*g**2 - 7*g. Suppose -3 = -v + 2. What is a(v)?
-10
Let v(s) = -s**2 + 8
|
{
"pile_set_name": "DM Mathematics"
}
|
he nearest integer?
720
What is 1598184 to the power of 1/3, to the nearest integer?
117
What is the third root of 911550 to the nearest integer?
97
What is 573015 to the power of 1/9, to the nearest integer?
4
What is the seventh root of 32941848 to the nearest integer?
12
What is the square root of 8594376 to the nearest integer?
2932
What is the fourth root of 1925855 to the nearest integer?
37
What is the square root of 161818 to the nearest integer?
402
What is 160586 to the power of 1/2, to the nearest integer?
401
What is the square root of 4417235 to the nearest integer?
2102
What is 17085082 to the power of 1/2, to the nearest integer?
4133
What is the fourth root of 771596 to the nearest integer?
30
What is the tenth root of 42970 to the nearest integer?
3
What is the cube root of 1317568 to the nearest integer?
110
What is 316315 to the power of 1/9, to the nearest integer?
4
What is 521787 to the power of 1/2, to the nearest integer?
722
What is the third root of 4033162 to the nearest integer?
159
What is the ninth root of 2208574 to the nearest integer?
5
What is the square root of 562261 to the nearest integer?
750
What is the cube root of 4631721 to the nearest integer?
167
What is the third root of 488776 to the nearest integer?
79
What is 4221462 to the power of 1/5, to the nearest integer?
21
What is the cube root of 26036002 to the nearest integer?
296
What is the third root of 8113609 to the nearest integer?
201
What is 364938 to the power of 1/8, to the nearest integer?
5
What is 14162398 to the power of 1/3, to the nearest integer?
242
What is the third root of 855193 to the nearest integer?
95
What is the cube root of 423879 to the nearest integer?
75
What is 249516 to the power of 1/2, to the nearest integer?
500
What is the ninth root of 1123048 to the nearest integer?
5
What is the cube root of 1000589 to the nearest integer?
100
What is 2273986 to the power of 1/3, to the nearest integer?
132
What is 27430685 to the power of 1/9, to the nearest integer?
7
What is the square root of 395219 to the nearest integer?
629
What is the fourth root of 92365 to the nearest integer?
17
What is the square root of 376889 to the nearest integer?
614
What is 389814 to the power of 1/2, to the nearest integer?
624
What is 6809 to the power of 1/2, to the nearest integer?
83
What is the cube root of 1570051 to the nearest integer?
116
What is the square root of 724844 to the nearest integer?
851
What is the square root of 424031 to the nearest integer?
651
What is the square root of 1602215 to the nearest integer?
1266
What is the cube root of 271191 to the nearest integer?
65
What is the third root of 1224597 to the nearest integer?
107
What is 11928260 to the power of 1/2, to the nearest integer?
3454
What is 861680 to the power of 1/2, to the nearest integer?
928
What is 107390 to the power of 1/6, to the nearest integer?
7
What is the square root of 486904 to the nearest integer?
698
What is the square root of 4566136 to the nearest integer?
2137
What is the third root of 5322503 to the nearest integer?
175
What is the fourth root of 1928793 to the nearest integer?
37
What is 11156565 to the power of 1/8, to the nearest integer?
8
What is the square root of 439194 to the nearest integer?
663
What is 6316343 to the power of 1/6, to the nearest integer?
14
What is the tenth root of 50625 to the nearest integer?
3
What is 13470818 to the power of 1/2, to the nearest integer?
3670
What is 1230599 to the power of 1/2, to the nearest integer?
1109
What is the square root of 130227 to the nearest integer?
361
What is 9727 to the power of 1/2, to the nearest integer?
99
What is 1515980 to the power of 1/4, to the nearest integer?
35
What is 14047081 to the power of 1/10, to the nearest integer?
5
What is 1179516 to the power of 1/5, to the nearest integer?
16
What is 3781901 to the power of 1/6, to the nearest integer?
12
What is the fourth root of 70231 to the nearest integer?
16
What is the cube root of 1449917 to the nearest integer?
113
What is 9473282 to the power of 1/2, to the nearest integer?
3078
What is 2743935 to the power of 1/2, to the nearest integer?
1656
What is 40976 to the power of 1/7, to the nearest integer?
5
What is 171039 to the power of 1/5, to the nearest integer?
11
What is the square root of 329502 to the nearest integer?
574
What is 1267238 to the power of 1/6, to the nearest integer?
10
What is 19377136 to the power of 1/2, to the nearest integer?
4402
What is the cube root of 2321934 to the nearest integer?
132
What is 983351 to the power of 1/10, to the nearest integer?
4
What is the sixth root of 17661253 to the nearest integer?
16
What is 5937561 to the power of 1/3, to the nearest integer?
181
What is 322390 to the power of 1/10, to the nearest integer?
4
What is the third root of 11749107 to the nearest integer?
227
What is the tenth root of 174521 to the nearest integer?
3
What is the cube root of 8093898 to the nearest integer?
201
What is 6252401 to the power of 1/4, to the nearest integer?
50
What is the square root of 8288015 to the nearest integer?
2879
What is the ninth root of 8692825 to the nearest integer?
6
What is the fourth root of 3982702 to the nearest integer?
45
What is 185731 to the power of 1/10, to the nearest integer?
3
What is the cube root of 512309 to the nearest integer?
80
What is 151055 to the power of 1/6, to the nearest integer?
7
What is the third root of 1011584 to the nearest integer?
100
What is the square root of 17970853 to the nearest integer?
4239
What is the sixth root of 1372748 to the nearest integer?
11
What is the third root of 4749017 to the nearest integer?
168
What is the ninth root of 128263 to the nearest integer?
4
What is 122688 to the power of 1/5, to the nearest integer?
10
What is the square root of 14818902 to the nearest integer?
3850
What is the square root of 720220 to the nearest integer?
849
What is the sixth root of 35216395 to the nearest integer?
18
What is the fifth root of 60379 to the nearest integer?
9
What is the square root of 2446110 to the nearest integer?
1564
What is 38464 to the power of 1/3, to the nearest integer?
34
What is the third root of 1323150 to the nearest integer?
110
What is the fourth root of 82221 to the nearest integer?
17
What is the ninth root of 4065306 to the nearest integer?
5
What is the square root of 182693 to the nearest integer?
427
What is the seventh root of 1658779 to the nearest integer?
8
What is the cube root of 5797869 to the nearest integer?
180
What is the cube root of 1280812 to the nearest integer?
109
What is the sixth root of 12396397 to the nearest integer?
15
What is 58501 to the power of 1/3, to the nearest integer?
39
What is 439686 to the power of 1/3, to the nearest integer?
76
What is the cube root of 142432 to the nearest integer?
52
What is 1827457 to the power of 1/3, to the nearest integer?
122
What is the eighth root of 3377958 to the nearest integer?
7
What is the cube root of 139157 to the nearest integer?
52
What is 521068 to the power of 1/2, to the nearest integer?
722
What is 8805774 to the power of 1/10, to the nearest integer?
5
What is the third root of 15480583 to the nearest integer?
249
What is the square root of 14558 to the nearest integer?
121
What is the square root of 781506 to the nearest integer?
884
What is 3123372 to the power of 1/8, to the nearest integer?
6
What is 501817 to the power of 1/10, to the nearest integer?
4
What is the fourth root of 1194892 to the nearest integer?
33
What is the cube root of 7510 to the nearest integer?
20
What is the cube root of 558449 to the nearest integer?
82
What is 1906128 to the power of 1/2, to the nearest integer?
1381
What is the sixth root of 1025496 to the nearest integer?
10
What is the seventh root of 605591 to the nearest integer?
7
What is 2071402 to the power of 1/10, to the nearest integer?
4
What is 2480334 to the power of 1/3, to the nearest integer?
135
What is the cube root of 4521404 to the nearest integer?
165
What is the tenth root of 1143433 to the nearest integer?
4
What is the square root of 3278936 to the nearest integer?
1811
What is the square root of 8068401 to the nearest integer?
2840
What
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest 1000?
10175000
What is 0.000150911208 rounded to six dps?
0.000151
What is -37.795538 rounded to one dp?
-37.8
What is 2513294.016 rounded to the nearest one hundred?
2513300
What is -0.00032041791 rounded to 5 dps?
-0.00032
What is 0.00149572725 rounded to five decimal places?
0.0015
Round 22448.8025 to the nearest one hundred thousand.
0
What is 2672598709 rounded to the nearest one hundred thousand?
2672600000
What is -0.01476103199 rounded to three dps?
-0.015
Round 1479088.55 to the nearest one hundred thousand.
1500000
What is -2262365.95 rounded to the nearest one million?
-2000000
What is 0.00000433481276 rounded to six dps?
0.000004
What is 1.844040888 rounded to 4 decimal places?
1.844
What is 1226012.9 rounded to the nearest ten thousand?
1230000
Round -58932922.1 to the nearest one hundred thousand.
-58900000
What is 0.23488021 rounded to three decimal places?
0.235
What is -19.0670085 rounded to 3 decimal places?
-19.067
What is -0.1024728 rounded to 3 decimal places?
-0.102
What is -13.03002184 rounded to the nearest 10?
-10
What is -211064.653 rounded to the nearest one hundred?
-211100
Round 0.0000385112 to 7 dps.
0.0000385
What is 0.001432429842 rounded to 5 decimal places?
0.00143
Round 0.4984033918 to 3 dps.
0.498
Round -0.0440961597 to two decimal places.
-0.04
Round -0.00028407298 to four dps.
-0.0003
What is -508.32115 rounded to 1 dp?
-508.3
What is 448.273681 rounded to the nearest one hundred?
400
Round 333.361248 to the nearest ten.
330
Round -56776010 to the nearest one million.
-57000000
Round 0.4567428271 to 4 decimal places.
0.4567
What is -81799310.3 rounded to the nearest one hundred thousand?
-81800000
What is -3.6426505 rounded to three decimal places?
-3.643
What is -56.24799 rounded to 1 dp?
-56.2
Round 184.03167 to 1 dp.
184
What is 0.1328709182 rounded to 5 dps?
0.13287
Round 293789464.1 to the nearest 1000.
293789000
What is 2389913 rounded to the nearest 100000?
2400000
What is 1.564256136 rounded to 2 decimal places?
1.56
What is 6.6456908 rounded to zero decimal places?
7
What is 697539.933 rounded to the nearest one hundred thousand?
700000
Round -49351955.23 to the nearest one million.
-49000000
What is -33.4697767 rounded to 0 decimal places?
-33
Round -0.1812779607 to 1 decimal place.
-0.2
What is -0.000493362009 rounded to 7 dps?
-0.0004934
What is -2645854.5 rounded to the nearest one thousand?
-2646000
What is -16581501.46 rounded to the nearest one million?
-17000000
Round -0.000618634899 to six decimal places.
-0.000619
Round 2.8941506 to the nearest integer.
3
What is 0.000548621873 rounded to six decimal places?
0.000549
Round -23.68675 to the nearest ten.
-20
Round 625185.526 to the nearest 100000.
600000
What is 0.00130479133 rounded to 5 decimal places?
0.0013
What is 12.86518347 rounded to 2 dps?
12.87
Round -24629947970 to the nearest 1000000.
-24630000000
What is 1.92194901 rounded to 3 dps?
1.922
Round 0.004519506348 to 6 decimal places.
0.00452
What is 0.0000038160539 rounded to 7 dps?
0.0000038
What is -154.709551 rounded to the nearest 10?
-150
What is 10537.0126 rounded to the nearest integer?
10537
Round 185.0799395 to 1 decimal place.
185.1
What is 70.05047913 rounded to 3 decimal places?
70.05
What is 230008521 rounded to the nearest 100000?
230000000
What is 0.010019655658 rounded to three dps?
0.01
Round 37488.5558 to the nearest 10000.
40000
What is -31965.4552 rounded to the nearest one thousand?
-32000
What is 291016303 rounded to the nearest 100000?
291000000
What is -3146742.31 rounded to the nearest 1000?
-3147000
Round 1094082 to the nearest ten thousand.
1090000
What is 0.001739503764 rounded to 4 dps?
0.0017
Round 0.67436009 to three decimal places.
0.674
Round -746870.74 to the nearest 100.
-746900
What is -78567.0045 rounded to the nearest one hundred?
-78600
What is -61593.503 rounded to the nearest one thousand?
-62000
What is 291055581.47 rounded to the nearest 100000?
291100000
Round -0.00000627039663 to 7 dps.
-0.0000063
Round 3.6428271 to 3 dps.
3.643
What is -15.392596713 rounded to four decimal places?
-15.3926
What is -11521.369 rounded to the nearest ten?
-11520
What is -4.18096478 rounded to 4 decimal places?
-4.181
What is -172957.7632 rounded to the nearest one thousand?
-173000
What is -2270460821 rounded to the nearest 1000000?
-2270000000
Round 129.129592 to the nearest integer.
129
What is 187.81611 rounded to 2 decimal places?
187.82
What is -0.001337703474 rounded to four dps?
-0.0013
What is -0.0001106053882 rounded to four decimal places?
-0.0001
What is 0.0449518442 rounded to six dps?
0.044952
What is -0.00165517737 rounded to 7 dps?
-0.0016552
Round 247363.44 to the nearest one hundred thousand.
200000
What is 3.088751398 rounded to 3 decimal places?
3.089
What is -0.000151545011 rounded to 5 dps?
-0.00015
What is -0.0000028729433 rounded to 6 dps?
-0.000003
Round 18279796.86 to the nearest 10000.
18280000
What is -689341.847 rounded to the nearest one thousand?
-689000
What is 7079.83507 rounded to zero dps?
7080
Round 2.535039089 to 4 dps.
2.535
Round 277188.99 to the nearest ten thousand.
280000
Round 0.0003476452263 to six decimal places.
0.000348
Round 0.0342173522 to four decimal places.
0.0342
What is 146533.541 rounded to the nearest one thousand?
147000
Round -4.285618464 to two decimal places.
-4.29
Round -0.00000037176875 to 7 dps.
-0.0000004
Round 1.173738169 to 4 decimal places.
1.1737
What is -424954.36 rounded to the nearest one hundred?
-425000
Round 34890111 to the nearest one million.
35000000
Round 1.2793519 to 1 decimal place.
1.3
What is -0.00128011817 rounded to 6 dps?
-0.00128
What is 0.11679934785 rounded to three decimal places?
0.117
What is 41.07461435 rounded to the nearest integer?
41
What is 1.72494877 rounded to three decimal places?
1.725
Round 2.6259541 to three decimal places.
2.626
What is 123554.15591 rounded to the nearest one thousand?
124000
What is 0.239176736 rounded to 2 decimal places?
0.24
What is 0.0002691518718 rounded to seven dps?
0.0002692
What is 0.000145138772 rounded to 7 dps?
0.0001451
What is -25.37156288 rounded to 4 decimal places?
-25.3716
What is -489389.8614 rounded to the nearest 10?
-489390
Round 366901770 to the nearest ten thousand.
366900000
Round 51244880.9 to the nearest ten thousand.
51240000
What is -41061.5632 rounded to the nearest one hundred?
-41100
What is 0.0236930044 rounded to 4 dps?
0.0237
Round -14805281.13 to the nearest 10000.
-14810000
Round 1.996347377 to two decimal places.
2
Round 46706.648 to the nearest 10000.
50000
Round 290.29802 to the nearest one hundred.
300
What is 15.1274348 rounded to three dps?
15.127
What is -0.000114415311 rounded to 5 dps?
-0.00011
What is -1449.61245 rounded to the nearest 100?
-1400
Round -0.020482582 to 5 decimal places.
-0.02048
What is 0.077547253 rounded to five dps?
0.07755
What is 2720556.37 rounded to the nearest one hundred thousand?
2700000
Round 88034387 to the nearest 10000.
88030000
What is 141.179706 rounded to the nearest ten?
140
Round 134801.62715 to the nearest one thousand.
135000
What is -299861698 rounded to the nearest 10000?
-299860000
What is 11410321.434 rounded to the nearest 100?
11410300
What is 0.02577852744 rounded to 3 dps?
0.026
Round -0.0369150646 to 4 dps.
-0.0369
What is 0.7898486011 rounded to two decimal places?
0.79
Round 2329.043961 to the nearest integer.
2329
What is -28961.15855 rounded to the nearest 100?
-29000
What is -20427440 rounded to the nearest ten thousand?
-20430000
What is -43.5191477 rounded to the nearest 10?
-40
Round -4.974888571 to zero decimal places.
-5
What is 4389121.9994 rounded to the nearest 10?
4389120
What is 8631.984 rounded to the nearest ten?
8630
Round -8.027441691 to 0 decimal places.
-8
Round -17597.4958 to the nearest one thousand.
-18000
What is 2894128.987 rounded to the nearest one hundred?
2894100
Round 4.338298909 to four decimal places.
4.3383
Round -0.9598892 to 4 dps.
-0.9599
Round -0.0001023381152 to 6 decimal places.
-0.000102
Round -195442.04033 to the nearest 1000.
-195000
What is -21956.26882 rounded to the nearest ten thousand?
-20000
What is 9332587.8 rounded to the nearest 1000000?
9000000
What is 17864892.17 rounded to t
|
{
"pile_set_name": "DM Mathematics"
}
|
*m + 6*m**3 - 3*m**3 to o*m + s + u*m**2 + n*m**3 and give s.
15
Rearrange -27364*x**4 - 164 + 7*x**3 - 132 + 27366*x**4 - 10*x**3 to m*x**3 + q*x + g + i*x**4 + l*x**2 and give g.
-296
Express (j - j - 2*j + (0 + 4 - 3)*(-2*j - 1 + 1) + 5*j - 4*j + 2*j)*((-2 + 1 + 2)*(2 - 2 - j) - 90*j - 25*j - 224*j) in the form h*j**2 + q*j + b and give h.
340
Express 34*g + 5564*g**2 - 34*g - 8678 + 4343 + 4336 in the form f + p*g + n*g**2 and give n.
5564
Express (2 - 2 - 2*t**2)*(-3 + 5 - 3)*(5435 - 4316*t**2 - 10852 + 5419) as m*t**3 + x*t + l*t**4 + g*t**2 + r and give l.
-8632
Rearrange (1 + 0 + 0 + (-2 + 2 - 3)*(-3 - 3 + 4) + 2 + 0 + 0)*(-4*r + 8*r - 26*r) to c*r + i and give c.
-198
Rearrange -2 + 587*q**2 - 1376*q**3 + 692*q**3 + 687*q**3 to the form h*q**3 + z*q**2 + o*q + f and give z.
587
Express 311*o - 2 - 15*o**2 + 224*o**2 - 198*o**2 as z + j*o + v*o**2 and give v.
11
Rearrange 3194*f - 7111*f - 3387*f + (-1 + 1 - 1)*(0 + 2*f + 0) to j*f + l and give j.
-7306
Express (-3 - 2436*w + 1235*w + 1686*w + 6)*(0*w + 0*w - w) as d + t*w**2 + m*w and give m.
-3
Express 82*r + 37 - 74 + 44 + 2*r in the form k + c*r and give c.
84
Express 0*r - 4*r**3 - 1408 + r**4 + 1395 - 8*r + 154*r**2 + r**3 - 156*r**2 as w*r**2 + h*r**3 + g*r**4 + j + i*r and give w.
-2
Express (2*p + 0 + 0)*(p - 4*p + 4*p) - 2*p**2 + 2*p**2 + 2*p**2 + (-60*p - 110*p - 12*p)*(4*p - 2*p - p) as b + i*p**2 + c*p and give i.
-178
Rearrange 125*f**3 + 197 - 121*f**3 + 2*f**2 - f**2 to the form i*f**2 + j + t*f + d*f**3 and give j.
197
Rearrange -14495*k + 29019*k - 14483*k - 35*k**2 + 2 to the form h + i*k**2 + r*k and give r.
41
Express h**2 + 546 - 543 - 3*h**3 - 18*h**2 as n*h + u*h**3 + k*h**2 + f and give u.
-3
Rearrange -44 + 31 + 0 + i + 3*i**2 to the form p*i**2 + t + d*i and give d.
1
Express -29*j + 16*j**2 - 3 + j**3 - 14*j**2 + 21*j + 37*j + 27*j as d + v*j + l*j**2 + g*j**3 and give g.
1
Express -9*c**2 - 30 + 2*c - 31 + 35 - 37 - 33 in the form t*c + r*c**2 + i and give i.
-96
Rearrange (-7037*t - 7220*t + 12238*t)*((2 - 3 + 3)*(-3*t + 2*t**2 + 3*t) - 3*t + 3*t - t**2) to l*t**3 + k + i*t + x*t**2 and give l.
-6057
Rearrange (3*y**2 - 2*y**2 + 0*y**2)*(-3*y + 2*y**2 + 3*y) + 13802*y**4 - 19269*y**2 + 19269*y**2 to x*y + m*y**2 + d*y**3 + g*y**4 + t and give g.
13804
Rearrange (4 - 4 + 2*z**3)*(-5 + 5 - 2*z) - 113*z**4 - 262*z**4 - 115*z**4 to the form t + j*z**4 + f*z**3 + a*z + o*z**2 and give j.
-494
Rearrange -11*u**3 - 1465*u**2 - 22*u**3 + 1455*u**2 to the form w*u**2 + s + l*u + q*u**3 and give w.
-10
Express -76 + h + 162 + 3*h + 194 + 2*h**3 - 3*h as b*h**2 + s*h + p*h**3 + v and give s.
1
Express 1197*a + 13872 - 13872 as m*a + k and give m.
1197
Express (5*d**3 - 3*d**3 - 3*d**3)*(-4*d + 3*d + 3*d) + 2*d**4 - 5*d**4 + 372*d**2 - 261*d**2 in the form q*d + y*d**2 + p + a*d**3 + v*d**4 and give v.
-5
Express (214 + 18 + 124 - 3 + 1 - 2 + 3 + 0 - 5 + (2 - 4 + 0)*(2 - 6 + 3))*(1 - 2 + 3)*(-3*p + p + p) in the form u*p + d and give u.
-704
Express ((5 + 1 - 4)*(-5 + 5*w + 5) + (4 + 2 - 5)*(5*w + 3*w + 2*w))*(15*w**2 + 6*w**2 - 4*w**2) in the form o + q*w**3 + r*w**2 + z*w and give q.
340
Express 373 + 2*o - 120 + 35 + 135 + 4*o in the form x + r*o and give r.
6
Rearrange (2 - 4 + 1)*(2 - 13 + 4208*p + 63705*p + 8 + 3) to the form y*p + x and give y.
-67913
Express (-x**3 - 21*x**3 + x**3)*(134*x - 26*x + 92*x) - 3*x**4 + 2*x**4 + 0*x**4 as s*x**2 + n*x**3 + r*x + a + t*x**4 and give t.
-4201
Express (-1 - 2 + 4)*(0*l + 0*l - 2*l**2) - 40716*l**2 - 81 + 2 + 18 + 62 - 128802*l**2 in the form z*l**2 + j*l + y and give j.
0
Rearrange (6 + 47 - 14)*(-486*f - 1295*f + 223*f + 89*f) to the form r*f + h and give r.
-57291
Express (-f + 4*f + 0*f)*(-f**2 - 35724*f + 17862*f - 7*f**3 + 17860*f) as t*f + g + h*f**3 + o*f**2 + a*f**4 and give h.
-3
Rearrange (0 + 5 - 4)*(-500518*y + 250257*y - 2 + 250256*y)*(-y + 0 - y - 4) to s*y**2 + c*y + q and give s.
10
Rearrange (3 - 3 + v)*(1 + 0 + 1) - 321*v - 75 + 148 - 72 to g + u*v and give g.
1
Express (-4 + 2 - 3 - 3*z)*(5 + 8329*z - 8701*z - 8) in the form v*z + s + u*z**2 and give v.
1869
Rearrange 5 - k - 5 + (3 - 2 + 0 + (-3 + 1 + 0)*(-5 + 4 + 3) + 5 - 4 - 2)*(-18*k + 39*k - 18*k) + (65 + 12 + 157)*(k - 3*k + 0*k) to a*k + u and give a.
-481
Express (-9*w + 5*w**4 + w**3 + 9*w)*(25543 - 3433 - 6678 + 21033 + 9806) in the form j + o*w**4 + i*w**3 + a*w**2 + f*w and give i.
46271
Express ((1 - 1 + 1)*(3*m + 0*m - 2*m) + 2*m - 5*m + 4*m - m - 5 + 5)*(2 + 1 - 2)*(5 + 2 - 3)*(1 + 5 - 3) in the form y*m + z and give y.
12
Rearrange (2*d**2 - 4*d**2 - 4*d**2)*(-4 - 1 + 2) - 8*d + 8*d - 3*d**2 + 3*d to the form l + h*d + k*d**2 and give k.
15
Express -19 - 10 - 2689*n + 51 - 23 as k*n + m and give k.
-2689
Rearrange 276 + 274 - 1943*l - 537 + 682*l to the form o + g*l and give g.
-1261
Rearrange -2*l - 2*l**4 + 2*l - 2466 + 2*l + 2405 + 8*l**3 to y*l**3 + o*l + b + c*l**2 + q*l**4 and give q.
-2
Express 54*w**2 - 1361452 + 1361452 + w**3 - 15*w as x*w**3 + u*w**2 + t + s*w and give u.
54
Express 870*d**4 + 2*d**2 + 70 + d - 1730*d**4 - 4*d**3 - 11*d**3 + 862*d**4 as o + b*d**2 + j*d**3 + t*d + i*d**4 and give j.
-15
Rearrange -2*j + 139 + 21*j**2 - 191 - 22*j**2 + j**3 to the form o + w*j**2 + d*j**3 + y*j and give w.
-1
Rearrange (4*m - 7*m - 9*m)*(2 + 0 + 4)*(-2*m - 2*m**2 - 7*m**2 + 7*m**2) to the form k*m + o + x*m**3 + c*m**2 and give x.
144
Express -4*c**2 + 37913 - 37911 - 14*c**2 + c**2 + 7*c as d*c + m + s*c**2 and give m.
2
Rearrange 8*n**2 - 51*n - 428958 + 428958 to u + h*n**2 + l*n and give h.
8
Express (-258 + 258 - 11*d**3)*(14*d - 12*d + 33*d)*(-10 + 2 - 8) as z*d**4 + k*d**3 + x*d**2 + g + f*d and give k.
0
Express 0 - 1485*k**2 + 2591*k**2 + 0 + 3935*k**2 in the form r + a*k + h*k**2 and give h.
5041
Rearrange 18*g - 28*g - 139*g + (g - 2*g + 0*g)*(-4 + 4 + 6) + g - 2*g + 4*g to the form d*g + m and give d.
-152
Express 41*u - 43*u + u**3 + 559*u**4 + 0*u**3 - 75*u**2 + 73*u**2 - 1 in the form o*u**4 + q*u**2 + i + j*u + d*u**3 and give j.
-2
Rearrange -1218974 - 1546*r + 1218974 to k + s*r and give s.
-1546
Rearrange -108*j - 16*j**3 + 109*j - 7*j**3 + 5*j**2 - 33*j**3 - 65*j**3 to i*j**3 + l*j**2 + s*j + r and give s.
1
Express -2 + 65*p + 24*p - 70*p + 45*p - p**3 as g + v*p**3 + f*p**2 + h*p and give h.
64
Rearrange -w + 1 - 1 - w + 2*w + 0*w + (3*w + 0*w - 2*w)*(2 + 4 - 7) + 2*w - 1 + 1 + 0*w - 2*w + 6*w + (-2189 + 2189 + 173*w)*(4 - 1 - 1) to r + m*w and give m.
351
Rearrange -19*q - 4503*q**2 + 1504*q**2 + 1498*q**2 + 1498*q**2 to g*q**2 + u*q + z and give z.
0
Rearrange 2731*j**2 - 6*j + j + 5*j + 1848*j**2 to y + h*j**2 + z*j and give h.
4579
Express -5*q + 4 - 29*q - 100*q - q**2 + 45*q as d*q + j + n*q**2 and give d.
-89
Express -522*a**3 - 12*a**4 - 6*a**4 + 518*a**3 - 445 + 547 as b*a**3 + q*a + w + v*a**2 + l*a**4 and give w.
102
Rearrange -638*k**2 - 23 - 2*k - 22 - 23 + 92 - 23 to the form c*k**2 + l*k + u and give u.
1
Express (-4*f - 4*f + 5*f)*(1 + 0 - 7)*(-3*f - 5*f - 5*f) in the form n*f**2 + j + g*f and give n.
-234
Rearrange -3016*v**2 - 480*v**2 - 925*v**2 to m + w*v**2 + t*v and give t.
0
Express -2228*m + 14466 + 14473 - 28939 as x + h*m and give h.
-2228
Rearrange 21*l**3 + 0*l**3 - 32647 + 224*l**2 - 32641 + 65290 to h*l**2 + z*l**3 + k*l + b and give z.
21
Rearrange -29922*h**2 - 3*h + 17*h**3 - 14*h**3 + 29879*h**2 + 4 to y + x*h**3 + d*h**2 + p*h and give x.
3
Express (2*g**2 + 0*g**2 - 5*g**2)*((4*g - 2*g + 0*g)*(0 - 3 + 0) - 34*g - 287 + 287) as n + t*g**2 + v*g + a*g**3 and give a.
120
Express 1094 - 3348*y - 1008 - 82 in the form p*y + n and give n.
4
Express 54*n**3 - 121*n**3 + 85*n**3 + 7*n**2 as t*n**2 + o*n**3 + r + h*n and give o.
18
Rearrange -16149*o + 45 - 42 - 2 - 1 to the form y + b*o and give b.
-16149
Rearrange 2*q - 155*q**2 + 44*q**2 - 50*q**2 + 0*q + q**4 + 3*q**4 to z*q**3 + c*q + m*q**2 + g*q**4 + d and give z.
0
Rearrange -220*l + 81*l - 4*l**2 - 11*l**2 + 92*l + 85*l to h + n*l + q*l**2 and give h.
0
Express 6*h + 17*h + 412*h**2 - 4*h + 7*h - 34*h + 2 - 2*h**3 as u*h**3 + s*h**2 + i*h + k and give u.
-2
Rearrange 0*r**2 - 2813 - 2915 - 104 - r**2 to the form u*r + z*r**2 + w and give w.
-5832
Rearrange -777*p**2 - 2*p + 94*p**2 - 101*p**2 to y + v*p**2 + m*p
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 + 3*r**3 + 3*r**2 - 3*r**3 - 3*r**2.
13*r**3
Expand (6*p - 3*p - p)*(-149 - 208 - 611 - 334).
-2604*p
Expand (1 - l - 1)*(3 - 10*l**4 - 3) + (-4*l + 2*l + 4*l)*(-50*l**2 + 50*l**2 - 10*l**4) + (l + 0*l + l)*(2*l**4 - 2*l**4 - 3*l**4).
-16*l**5
Expand (-h + 2*h - 3*h)*(-2178 + 2675 + 813).
-2620*h
Expand (-3 - 8 + 3)*(3*h - 5*h + 3*h)*(22 - 6 + 14).
-240*h
Expand (-4 + 0 + 1)*(-v + 2*v + v) + v + 7*v - 3*v.
-v
Expand (1 - 6 + 4)*(-4*m**4 + 5*m**4 + m**4 + (3*m - 2*m + 0*m)*(4*m**2 - 4*m**2 - m**3)) - 2*m**4 - m**4 + 22 - 20.
-4*m**4 + 2
Expand (4 - 4 - 2)*(138 - 137 + 65*j - 383*j)*(-4 + 1 + 2).
-636*j + 2
Expand 0*m + 0*m - 4*m**5 + (m**3 + 0 + 0)*(2*m**2 - 92*m + 92*m).
-2*m**5
Expand (19 - 7 + 127*h - 12)*(-4*h**2 + 4*h**2 + h**2).
127*h**3
Expand (k**4 - 2 + 2)*(1 - 4 + 1)*(19 - 19 - 86*k) - 6 - 4*k**5 + 6 + (0*k - k - k)*(-2*k**2 + 2*k**4 + 2*k**2).
164*k**5
Expand (4*d**2 - 2*d**2 - 3*d**2)*(2*d + 1 - 1) + d**3 + 0*d**3 - 2*d**3 + d**3 - 4*d**3 + 4*d**3 + (1 - 1 + 3*d)*(-d + 3*d - 3*d)*(-398*d - 40*d + 29*d).
1225*d**3
Expand -g**4 + 0*g**3 + 0*g**3 + (0*g**3 - g**3 + 0*g**3)*(3*g - 5*g + 3*g) - 120*g**4 - 948*g**4 - 767*g**4.
-1837*g**4
Expand (4*j**2 - 4*j**2 + 2*j**2)*(j**2 + 3*j**2 - 3*j**2 - 5*j**2 + 3*j**2 + 3*j**2 + (0 + 0 + j**2)*(0 + 8 + 5) + j**2 + 2 - 2).
32*j**4
Expand (-349333*w + 349333*w + 3374*w**2)*(-4*w + 4*w - w).
-3374*w**3
Expand -m**5 - m**5 + m**5 + (m**3 + m - m)*(-4*m**2 - 2*m**2 + 4*m**2) - m**5 - 5*m**5 + 0*m**5 + 2*m**5 + 5*m**5 - 2*m**5.
-4*m**5
Expand (11 - 29 + 3)*(-7*q - q + 124 - 121).
120*q - 45
Expand (2*c + 0*c - 4*c)*(2*c**2 - 6 + 94*c + 4 - 95*c).
-4*c**3 + 2*c**2 + 4*c
Expand 3*c**4 - 3*c**4 + c**4 + 4*c - 4*c - 2*c**4 + (2*c - 2*c + c**2)*(0*c**2 - 3*c**2 + 5*c**2) + 6*c**4 + 2*c**4 + c**4.
10*c**4
Expand -9*h + 2*h**2 + 9*h - h - 2*h**2 + h + (3*h - 5*h + 3*h)*(2*h + h - 2*h) + (-2 + 2 - 2)*(2*h - 2*h - h**2).
3*h**2
Expand -73 + 8*j**2 - 7*j**2 + 79 - 2*j + (2*j - 3*j - 4*j)*(3*j - j + 0*j).
-9*j**2 - 2*j + 6
Expand (0 - 3*x + 0)*(-1 + 4 - 2)*(63 + 52 - 26).
-267*x
Expand (4 + 1 - 6)*(-2*z**2 - 2*z**2 + 3*z**2 + (-161*z - 240*z + 50*z)*(z + 0 + 0)).
352*z**2
Expand (17*u**2 + 7*u**3 - 17*u**2)*(0*u + 8*u - 5*u + 2*u - 2*u + 2*u + 4*u + 2*u - 4*u + (-u + 0*u + 2*u)*(1 - 2 + 2)).
56*u**4
Expand 0 + 0 + 2*f**3 + (-2*f**3 - f**3 - 4*f**3)*(-1 + 1 + 5) - f**3 - 3*f**3 + 3*f**3.
-34*f**3
Expand (p**3 + 2*p**3 - 5*p**3)*(19 - 117 - 72)*(-2 + 2 - 2*p).
-680*p**4
Expand (d**4 - 233*d + 233*d)*(d - 2*d - d)*(-4 - 2 + 7).
-2*d**5
Expand (-2 + 0 + 0)*(-g**2 - 4*g**2 + 4*g**2)*(38*g**2 + 64*g**2 - g**2) - 5*g**3 - g**4 + 5*g**3 + (-3 + 3 + 2*g)*(2 - g**3 - 2) + 7*g**4 - 2*g**4 - 3*g**4.
201*g**4
Expand (4 - 4 + 7*u**3)*(-152 + 82 + 78 + 2*u).
14*u**4 + 56*u**3
Expand (-505*n**2 + 505*n**2 + 14*n**4)*(-10*n - 15*n + 16*n).
-126*n**5
Expand 0*o**2 - o**3 + 0*o**2 + 2*o**3 + 2*o**3 - 3*o**3 + (-o - 2*o + o)*(-2*o**2 + 2*o**2 - 2*o**2) - 268*o + 268*o - 50 + 3*o**3 + 2*o**3 + o**3 - 2*o**3.
8*o**3 - 50
Expand -8*m - 8 + 8 + (12 + 63 + 18)*(4*m - m - 4*m).
-101*m
Expand (12*x - 46232 - 4*x**2 + 46232)*(-2 + 4 + 1).
-12*x**2 + 36*x
Expand (-3*h**2 + 4*h**2 + h**2)*((3*h - 2*h - 3*h)*(4 - 6 - 2) - 20 - 2*h + 20).
12*h**3
Expand (274*y**2 - 4 + 2 - 264*y**2)*(2*y**2 + 4*y - 4*y).
20*y**4 - 4*y**2
Expand 50*w**5 + w**5 + 26*w**5 + w**5 - 2*w**5 + 2*w**5 + (-5*w**3 + 0*w**3 + 3*w**3)*(-3*w**2 + w**2 + w**2).
80*w**5
Expand -4*a**3 + 17*a**2 - 17*a**2 + (-5*a**2 + 7 - 7 + (4*a - 4*a + a)*(4*a + 0*a - 7*a))*(4*a - a - 4*a).
4*a**3
Expand (-9 - 4*m + 9)*(-7*m - 3*m + 96 - 93).
40*m**2 - 12*m
Expand (8*u**3 + 2*u**3 + 15*u**3)*(-u**2 - 2*u**2 + u**2) + (-u + 4*u - 4*u)*(u**4 + u**2 - u**2) + 3*u**5 - u**5 - 3*u**5.
-52*u**5
Expand 2*j + 2*j - 5*j + (3 - 2*j - 3)*(1 + 1 + 0) + (1 + 2 - 1)*(2*j + 6*j + 0*j) + 18*j - 6*j + 0*j.
23*j
Expand (-1 + 1 - 1)*(-3*y**2 + 170*y**3 + 147*y**3 + 1 - 294*y**3 - y).
-23*y**3 + 3*y**2 + y - 1
Expand (-p + 5*p + 2*p)*(-2*p - p + 4*p + (2*p + p - 4*p)*(6 + 0 - 4) + (5*p + 0*p - 3*p)*(-4 - 2 + 5) - 3*p + 5*p - 4*p - 3*p - 12 + 12).
-48*p**2
Expand (-194*m + 472*m - 11*m)*(-3 - 2*m + 3).
-534*m**2
Expand (24*p**2 + 23*p**2 + 0*p**2)*(-20*p**2 + 4*p**2 + 0*p**2 + (2*p + 2*p - 3*p)*(-2*p + 3 - 3)).
-846*p**4
Expand -7*a**5 - 13*a**5 - 15*a**5 + (-3*a**2 + 3*a**2 - 3*a**4)*(-a + 5*a - a).
-44*a**5
Expand (-3 + 3 - 3*x)*(-5 + 3 + 0)*(-37*x + 39*x - 78*x).
-456*x**2
Expand (t**2 - 3 + 3)*(-t + 4*t - 2*t + (-3 + 3 - 1)*(2*t + t - t) + t + 4*t - 6*t)*(-30*t**2 - 27*t**2 - 5*t**2).
124*t**5
Expand (1 - 1 + 1)*(-m + m + 2*m**2) - m**2 + m**2 - m**2 - 87*m + 138*m**2 + 87*m.
139*m**2
Expand (-13 - 4 - 30)*(-2*o + o + 0*o).
47*o
Expand 872*r - 872*r - 48*r**3 - 1 + 2*r**3 + 1 + (0*r + r + r)*(0*r**2 - 2*r**2 + 0*r**2).
-50*r**3
Expand 3*h + 5*h + h + (-2 + 2 - 1)*(-2 - h + 2) + 7*h + 2*h - 3*h.
16*h
Expand 5*n**2 + 11*n - 11*n + (-2*n**2 + n**2 + 4*n**2)*(0 + 2 + 0) + (1 + 1 - 1)*(4*n - 4*n + 4*n**2).
15*n**2
Expand ((-w + 2 - 2)*(-2 + 51 + 49) + 4*w - w - w)*(-1 - w + 1).
96*w**2
Expand (-6*a**3 + 0*a**3 + 3*a**3)*(4 - 4 + 5 + 3 + 1 - 1 + (5 - 4 + 0)*(-3 + 0 + 1) + 1 - 4 + 2 - 1 - 1 + 0 - 3 + 2 + 3).
-15*a**3
Expand (-5*b**3 - 17*b + 17*b - 6*b**2)*(57 + 12*b - 57).
-60*b**4 - 72*b**3
Expand (-2*x + 4*x - 3*x)*(54*x + 327*x**2 - 646*x**2 + 325*x**2).
-6*x**3 - 54*x**2
Expand c**4 - c**2 + c**3 - c**3 + (31*c**2 - 3*c**2 + 7*c**2)*(-15*c + 10*c - 2*c**2 + 3*c**2).
36*c**4 - 175*c**3 - c**2
Expand (-1520 + 1520 - 75*l)*(2*l - 4 + 4 + (-2*l + l - l)*(5 + 0 - 4) + l - 5*l + 2*l - 3*l + 0 + 0 + 4*l + 0*l - 3*l).
300*l**2
Expand (6*r + 1 - 1)*((-r**2 + r**2 - r**2)*(6*r + 1 - 5*r + r) - 935*r**3 + 930*r**3 + 3*r + 4*r).
-42*r**4 - 6*r**3 + 42*r**2
Expand -r**5 + 4*r**5 - 5*r**5 + (-3*r**2 + 0*r**2 + 0*r**2)*((-9*r + 4*r - 6*r)*(r**2 + 2*r**2 - 5*r**2) - r**3 + 6*r**3 - 2*r**3).
-77*r**5
Expand (-3 - 11*h - 22*h + 1)*(1 - h - 1)*(20*h**3 + 9*h**3 + 6*h**3).
1155*h**5 + 70*h**4
Expand (-833 + 1654 + 291 + 1258)*(2*w**2 - 7*w**2 + 3*w**2).
-4740*w**2
Expand (3*l - 6*l + l)*(-4*l**4 - 1 + 2 - 2) + 12*l**5 - 9*l**5 + 9*l**5.
20*l**5 + 2*l
Expand (-y - 3*y + 0*y)*(13 - 13 + 47*y).
-188*y**2
Expand (j + 2*j - j)*(-13 - 9 + 16 + (-2 + 2 + 3)*(-2 + 7 - 3) + 1 - 2 - 1).
-4*j
Expand (5*l + l - 4*l)*(-17 - 5 - 13) + 2*l - 5 + 5.
-68*l
Expand 3*g**4 + g**4 - 5*g**4 + ((-2 - 7 + 2)*(1 - 2 + 0) - 2 + 5 - 9 - 4 + 2 + 0)*(-2 + 2 - 1)*(-2 + 2 - g**4).
-2*g**4
Expand (0*u - u - 2 - 2*u)*(4 - 3 - 3)*(-6 + 2 + 18).
84*u + 56
Expand (-3 - 1 + 3)*(-2*b + 3*b + b)*(-37 + 22 - 3477*b + 15).
6954*b**2
Expand (-96*x**2 - 253*x**2 - 365*x**2)*(-x + x - 2*x).
1428*x**3
Expand (-3*x - 2 + 2 + (-2*x - 2 + 2)*(-2 - 2 + 6) + 6 - x - 6)*(-2*x + 5*x - x).
-16*x**2
Expand (-1369 + n**3 + 7*n + 688 + 682)*(0*n + n + 0*n).
n**4 + 7*n**2 + n
Expand (-2*g - 62 + g + 53)*(-g**3 + 7*g**3 + 4*g**3).
-10*g**4 - 90*g**3
Expand -305 + 590 + 821*x - 285 + (2*x - 3*x + 3*x)*(3 - 4 + 0).
819*x
Expand (0 - 2 - 2)*(-11*n**2 + 11*n**2 - 6*n**3) + (-n**2 - 3*n**2 + 6*n**2)*(4*n - 4*n + 2*n).
28*n**3
Expand (-4 + 3 + 0 + (-5 + 4 + 2)*(0 - 1 + 0))*(3*o - 2*o + o)*(-o + 35 + 52 + 10).
4*o**2 - 388*o
Expand (-7 + 9 - 4 - h)*(2*h**2 - 13*h**2 + 2*h**2).
9*h**3 + 18*h**2
Expand (0*h**2 - 2*h**2 + h**2)*(-3*h + h + 0*h) - 2*h**3 - 2*h**3 - 7*h**3 - 2*h**3 + 0*h**3 + 3*h**3.
-8*h**3
Expand 0*t**5 + t**5 - 2*t**5 + (-t**2 - 4*t**2 + 0*t**2)*(0*t**3 - 3*t**3 + t**3) + t - t - t**5 + (4*t**5 - t**5 - t**5)*(-1 - 2 + 2).
6*t**5
Expand (-40*h - 9 + 10 + 46*h - 15*h**2)*(2*h**3 + 0*h**3 - h**3).
-15*h**5 + 6*h**4 + h**3
Expand (z**3 + 0*z**3 + z**3)*(-2*z**2 + 0*z**2 + 4*z**2) + 3*z**5 - z**5 - z**5.
5*z**5
Expand (117*s - 21191 + 15*s + 21191)*(-s**2 + s**2 - 2*s**2).
-264*s**3
Expand (2 + 1 + 4)*(-7*w + 10*w - 2 - 15*w).
-84*w - 14
Expand (x - 5*x + 5*x)*(33*x**2 + 125*x**3 - 125*x**3 - x**4).
-x**5 + 33*x**3
Expand (0*q - q + 2*q)*(-9*q**2 - 11*q**2 + 22*q**2) + (-4*q**2 + 0*q**2 + 2*q**2)*(0*q + 2*q + 0*q).
-2*q**3
Expand (-5*d + 5*d - 2*d)*(-2*d**3 + 3*d**3 + 0*d**3) + 2*d**4 + 2*d**4 - d**4 + 32*d**4 + 5 - 14*d**4 - 20*d**4 - 4*d**4 + 0*d**4 + 2*d**4.
-3*d**4 + 5
Expand (5 - 3 - 5)*(76*b + 69*b - 146*b + 6 + 2*b**2).
-6*b**2 + 3*b - 18
Expand (-7*u**2 + 7*u**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
6 to the nearest 10.
360
Round -281.69 to the nearest integer.
-282
What is -149.4 rounded to the nearest 1000?
0
Round -0.0000031822 to 7 decimal places.
-0.0000032
Round -0.000003323 to six decimal places.
-0.000003
Round -4910000 to the nearest one hundred thousand.
-4900000
What is -4.213 rounded to 1 decimal place?
-4.2
What is -165.1 rounded to the nearest 10?
-170
What is -0.0003684 rounded to five dps?
-0.00037
Round 12502 to the nearest 1000.
13000
What is 38641000 rounded to the nearest one hundred thousand?
38600000
Round -532200 to the nearest 100000.
-500000
Round -12794000 to the nearest one hundred thousand.
-12800000
What is -6999000 rounded to the nearest 100000?
-7000000
Round 0.0047741 to four decimal places.
0.0048
What is -36349 rounded to the nearest ten thousand?
-40000
Round -1.29521 to two decimal places.
-1.3
Round -57.19 to 0 dps.
-57
Round -0.00000243018 to 6 dps.
-0.000002
Round -0.070112 to 3 decimal places.
-0.07
Round -562000 to the nearest one hundred thousand.
-600000
What is 284330 rounded to the nearest 1000?
284000
What is -0.0000528 rounded to five decimal places?
-0.00005
What is -4925300 rounded to the nearest one million?
-5000000
What is 91574000 rounded to the nearest one hundred thousand?
91600000
What is -0.000073808 rounded to 7 decimal places?
-0.0000738
Round -9134.9 to the nearest 1000.
-9000
Round -7815 to the nearest 100.
-7800
Round -545000 to the nearest 100000.
-500000
What is 0.00000005809 rounded to seven decimal places?
0.0000001
What is 4.74 rounded to 1 decimal place?
4.7
What is 2732 rounded to the nearest one hundred?
2700
What is -0.0056788 rounded to 4 decimal places?
-0.0057
Round 0.000015056 to five decimal places.
0.00002
Round 0.0003122 to 5 decimal places.
0.00031
Round -62997 to the nearest 1000.
-63000
Round 0.00000107879 to seven dps.
0.0000011
What is 28.8777 rounded to zero dps?
29
Round 1099000 to the nearest 1000000.
1000000
What is 90.1 rounded to the nearest 10?
90
Round 0.20338 to three dps.
0.203
Round -0.00506 to four dps.
-0.0051
What is -0.00433972 rounded to four dps?
-0.0043
What is 250.49 rounded to the nearest ten?
250
What is 0.026639 rounded to four dps?
0.0266
What is -35.94 rounded to the nearest 10?
-40
What is 0.00015 rounded to 4 decimal places?
0.0002
What is -12155000 rounded to the nearest 1000000?
-12000000
Round -185165000 to the nearest one million.
-185000000
Round -0.0054085 to 3 dps.
-0.005
What is 24.76 rounded to the nearest 10?
20
Round -1923300 to the nearest 100000.
-1900000
What is 0.00002712 rounded to 6 decimal places?
0.000027
What is -425500 rounded to the nearest ten thousand?
-430000
Round 1260560 to the nearest 100000.
1300000
What is -0.06713 rounded to two dps?
-0.07
Round 28.12 to the nearest ten.
30
Round -26.637 to 0 dps.
-27
Round 65910 to the nearest ten thousand.
70000
Round 0.0003277 to four dps.
0.0003
What is 0.3837 rounded to 1 decimal place?
0.4
What is 0.01004 rounded to three decimal places?
0.01
Round -334800 to the nearest one hundred thousand.
-300000
What is 1.62 rounded to 1 dp?
1.6
What is 0.6156 rounded to 1 dp?
0.6
What is -0.074614 rounded to three dps?
-0.075
What is 9.284 rounded to the nearest integer?
9
Round 17820800 to the nearest 1000000.
18000000
Round 105612 to the nearest ten thousand.
110000
What is -4.368 rounded to one dp?
-4.4
What is -0.002624 rounded to four dps?
-0.0026
What is -0.01625 rounded to three decimal places?
-0.016
What is -442260000 rounded to the nearest 1000000?
-442000000
Round 0.0000000244 to seven decimal places.
0
Round -2138200 to the nearest one hundred thousand.
-2100000
What is 0.000005562 rounded to 7 decimal places?
0.0000056
Round -0.2556 to two dps.
-0.26
What is -0.00000598 rounded to 6 decimal places?
-0.000006
Round -353.2 to the nearest integer.
-353
Round -10629900 to the nearest 1000000.
-11000000
What is 0.00222 rounded to three dps?
0.002
Round -0.00000815 to 7 decimal places.
-0.0000082
What is -117.8 rounded to the nearest ten?
-120
Round 38.56 to the nearest integer.
39
Round 169.8 to the nearest 100.
200
Round -157283 to the nearest 100000.
-200000
What is -127.13 rounded to zero dps?
-127
What is -4472000 rounded to the nearest 100000?
-4500000
What is 1852 rounded to the nearest one thousand?
2000
Round 24.681 to 1 dp.
24.7
What is -78.53 rounded to the nearest 10?
-80
What is -20600000 rounded to the nearest 1000000?
-21000000
Round -208910000 to the nearest 1000000.
-209000000
What is -0.04701 rounded to 3 decimal places?
-0.047
What is -5.92299 rounded to 2 dps?
-5.92
Round -219.54 to the nearest 10.
-220
What is 19510 rounded to the nearest 1000?
20000
What is -0.000441 rounded to four dps?
-0.0004
Round -47610000 to the nearest 1000000.
-48000000
What is 0.00002787 rounded to six decimal places?
0.000028
What is -410290 rounded to the nearest ten thousand?
-410000
Round -6474000 to the nearest 100000.
-6500000
What is 0.3512 rounded to two decimal places?
0.35
What is 1406000 rounded to the nearest 100000?
1400000
What is -0.001125 rounded to three dps?
-0.001
What is 0.029939 rounded to two decimal places?
0.03
What is 271 rounded to the nearest ten?
270
Round -0.0068814 to 3 decimal places.
-0.007
What is -43.704 rounded to 0 decimal places?
-44
What is 66179000 rounded to the nearest one hundred thousand?
66200000
Round 0.01488 to three decimal places.
0.015
What is 481.92 rounded to the nearest ten?
480
Round 44.83 to the nearest integer.
45
What is -4306.2 rounded to the nearest 10?
-4310
Round -1.8994 to two dps.
-1.9
What is -497 rounded to the nearest 10?
-500
Round 9573 to the nearest one hundred.
9600
Round 4380.6 to the nearest one thousand.
4000
Round -100.6 to the nearest ten.
-100
Round 504300 to the nearest ten thousand.
500000
Round -0.01684 to 3 dps.
-0.017
Round -8171000 to the nearest 100000.
-8200000
What is -0.000007385 rounded to 6 decimal places?
-0.000007
Round 0.00382934 to four dps.
0.0038
Round 33.02 to the nearest 10.
30
What is -0.5599 rounded to 1 decimal place?
-0.6
Round -0.0002418 to 4 dps.
-0.0002
What is 0.0000001215 rounded to 7 decimal places?
0.0000001
Round -7.667 to the nearest integer.
-8
Round 1296.4 to the nearest one hundred.
1300
Round 0.000155082 to five decimal places.
0.00016
What is 15840000 rounded to the nearest 1000000?
16000000
What is -0.0020088 rounded to 5 decimal places?
-0.00201
What is -0.00991 rounded to two dps?
-0.01
What is 0.0001717 rounded to five dps?
0.00017
Round -29580 to the nearest ten thousand.
-30000
What is 0.000000587548 rounded to 7 dps?
0.0000006
Round -1823400 to the nearest 1000000.
-2000000
What is -0.02616 rounded to three dps?
-0.026
Round 160940000 to the nearest one million.
161000000
What is 0.049863 rounded to 2 decimal places?
0.05
Round 0.000216778 to six decimal places.
0.000217
What is 54.497 rounded to the nearest ten?
50
What is 0.2014 rounded to 2 decimal places?
0.2
What is -16590 rounded to the nearest ten thousand?
-20000
Round -2226000 to the nearest 100000.
-2200000
What is 1933000 rounded to the nearest 1000000?
2000000
What is -0.0001644 rounded to five decimal places?
-0.00016
What is 180410 rounded to the nearest one thousand?
180000
Round -12.012 to the nearest ten.
-10
What is 4102300 rounded to the nearest one hundred thousand?
4100000
What is -54.73 rounded to the nearest integer?
-55
Round 6480 to the nearest 100.
6500
Round 5.8126 to two decimal places.
5.81
Round -0.0000004192 to seven dps.
-0.0000004
What is -0.0035485 rounded to four dps?
-0.0035
Round -16960 to the nearest 1000.
-17000
Round -20100 to the nearest 1000.
-20000
What is -0.0000018595 rounded to seven dps?
-0.0000019
Round 0.000006645 to seven decimal places.
0.0000066
Round -42892000 to the nearest 1000000.
-43000000
What is 6303 rounded to the nearest one thousand?
6000
What is -101.59 rounded to the nearest ten?
-100
Round 0.00005986 to 5 decimal places.
0.00006
Round -31400.5 to the nearest 100.
-31400
What is 126.61 rounded to the nearest 10?
130
What is -111 rounded to the nearest one hundred?
-100
What is -2501000 rounded to the nearest one hundred thousand?
-2500000
What is 0.000063833 rounded to 5 dps?
0.00006
Round 0.000596 to three dps.
0.001
Round -0.002515
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-95). Solve -c*p + 2*z = z + 1, -1 = 4*p - z for p.
0
Let g be 1/(10/(-8)) + (-98)/(-35). Solve -2*w - 5*v = -7, -g*w - 2*v + 51 = 47 for w.
1
Let s(b) = -b**2 - 15*b. Let z be s(-15). Suppose -59*i - 4 = -61*i. Solve z = -4*n + i*r - 22, 15 - 1 = -2*n + 2*r for n.
-4
Suppose 5*v + 2341 = w, -w - 4*w + 2345 = -5*v. Let c = 470 + v. Solve 5*t = 3*u - c, u - 2 = t - 0*u for t.
2
Let s(i) = 5*i**2 - 211*i + 50. Let b be s(42). Solve -35 = 5*u + 5*h, 12*u - b*u + 2*h = -18 for u.
-2
Let s = -38012 - -38029. Solve -277*q - 16 = -273*q - 4*w, -3*w + s = 2*q for q.
1
Let d be (-106)/(-8) + (-6)/(-8). Let h be 7/(-6)*36/(-126)*24. Let t = h + -6. Solve 2*b = -5*r - d, t*r + 2*r - 3*b = -2 for r.
-2
Let j = -12369 + 12369. Solve j = -2*n - 12*s + 10*s, s - 3 = 0 for n.
-3
Let m(t) = t - 6. Let s(g) = -2*g + 9. Let j(h) = 7*m(h) + 3*s(h). Let k be j(17). Solve 2*i = -l + 7, -k*l + 8 = -2 for i.
1
Let y(w) = 2 + 146*w + 10 - 152*w. Let m be y(0). Suppose -14*j = -m*j - 4. Solve 0 = -d + t - j*t - 1, -4*t = -2*d - 26 for d.
-5
Let h = 28 + -9. Let u = 7 + -1. Suppose -4*g = -2*m + 26, 0 = -2*m - 68*g + 69*g + 11. Solve -m*j = q, 2*j - u*j - h = -5*q for j.
-1
Let x be 2/5*((-450)/(-1))/10. Let m be 1*27/6 + (-9)/x. Solve a = -m*a + 10, 4*a = -3*g + 23 for g.
5
Let h = -18 - -38. Let f(x) = -609*x - 67597. Let o be f(-111). Solve 3*k + g = -h, -o*g = -3*k - 0*g - 5 for k.
-5
Suppose -11 - 216 = -86*c + 203. Suppose -2*d = -d - 5. Solve 2*i - 3*h + 7 = 2, 4*i = c*h - d for i.
5
Let i = -10 - -49. Let b = 39 - i. Suppose b = -5*q - 0*q. Solve 2*s = v - 4, -2*v - 1 = -q*v - s for v.
-2
Let d(h) = h**2 + 9*h + 6. Let i be d(-11). Suppose 0 = b - i. Solve -8 = -4*g - 4*l, 5*l - b = 2*g + 2*g for g.
-2
Suppose 4*d - 3*i = 190, -23*d - 2*i = -22*d - 42. Solve 0 = -3*n + d - 40, -5*r = 4*n - 28 for r.
4
Let d(v) = -2*v**3 - 17*v**2 + 13*v + 38. Let p be d(-9). Solve 3*o + 2 = -r, -p = r + 3*o + o for r.
-2
Suppose 266*u - 9981 - 10229 = -204*u. Solve 41*n - u*n + 18 = 4*q, 3*n - 4*q + 3 = 0 for n.
3
Let q = -1954 - -1329. Let k = q - -636. Solve -2*r - 5*j = -2*j + k, -3*j + 5 = -2*r for r.
-4
Let q be ((-5)/(-30)*-16)/((-5)/((-30)/(-4))). Solve 3*n + 7 - 4 = 3*i, 0 = q*i - 5*n - 4 for i.
1
Suppose 5*r = -26 + 51. Suppose -r*g + 15 = p, 3*g - 9 = 4*p - p. Let v be 4/3 + (g - 21/9). Solve 5*s + v*o - 7 = 0, -2*o = -4*o + 2 for s.
1
Let s = -6 - -10. Let u be 6*-3*(-8)/36. Let t be ((-49)/(-14))/(7/u). Solve j - s = -0*j, t*x - 4*j = -16 for x.
0
Let g be ((-4)/10)/(1/(-5)). Suppose 4*y + 4*b = -332, -9 = -5*b - 4. Let d be (y/(-168))/(1/8). Solve 3*s + 7 = -4*r, -5*r + g*r = d*s + 14 for s.
-5
Suppose 104 = 66*d - 58*d. Suppose p - k + 3*k = 8, 5*p + k = d. Solve -o - u = -p, -2*o + 5 = -o + 2*u for o.
-1
Suppose 11*y - 9 = 10*y. Suppose -37 + y = -2*v. Suppose 4*p = 3*h - 27, 23 = 5*h - 4*p - v. Solve m + h*i + 20 = 0, i = m - 1 - 3 for m.
0
Let b = 19 - 15. Let l(u) = u**3 - 9*u**2 - 3*u + 12. Let h be l(9). Let x = h - -16. Solve -4*o + 3 = 3*m - 7*o, -b*m + o + x = 0 for m.
0
Let n = 38743 + -38743. Solve 0 = 3*w + 2*k + 16, n*w - k + 2 = -w for w.
-4
Suppose -v - 4*l - 69 = 0, v + 5*l = 4 - 75. Let a = v + 74. Solve -d = 2*h + 9, -a = 4*d - 4*h - 1 for d.
-5
Suppose 230*j + 221*j - 8 = 447*j. Solve j*f + 7 = 2*z + 5, 0 = -3*z + 5*f + 5 for z.
0
Let p be (-15)/10*(-2)/1. Suppose -5*m - 45 = i + 12, -i + 31 = -p*m. Let q(z) = z + 15. Let b be q(m). Solve -4*f + 2*a - 20 = 0, 0*f + 28 = -5*f + b*a for f.
-4
Suppose -4*m = -2*s + 24, -3*s - m - 7 + 8 = 0. Suppose -8*p + 10*p - 10 = -a, 3*p + s*a - 15 = 0. Solve v = p*i + 6*v - 15, -5*i = 4*v - 12 for i.
0
Suppose 5*t = -454*a + 450*a + 10, 4*t = -4*a + 16. Solve -a + 2 = -2*i - 3*y, y - 2 = -i for i.
-2
Suppose l = 13 - 9. Let m(j) = 23 - 8*j - 14*j + j**2 + 0*j**2. Let y be m(21). Solve d - 20 = 4*k, -y*k + 3*d - 4 = -l*k for k.
-4
Suppose 2405 = 10*h + 9305. Let b be (-8)/(-10)*(h/(-12))/23. Solve 5*q = -3*i - 40, -4*q = 3*i - b*q + 25 for i.
-5
Let i(p) = -2*p**3 + 6*p**2 + 5*p - 11. Let g be i(3). Solve -5*z - 19 = 4*y, g*y + 0*z = -z - 7 for y.
-1
Suppose 5*a - 36 = -11. Let f = -195 + 219. Suppose a*i = -i + f. Solve o - i*o + 4*b + 16 = 0, o - 20 = 5*b for o.
0
Suppose -p + 397 = i + 354, -3*i = -3*p + 111. Solve -5*z + 0*s = 3*s + 10, 3*z = 5*s - p for z.
-5
Suppose -b - 516 = 4*o + 3*b, 4*b + 642 = -5*o. Let k = -126 - o. Suppose -3*a = -k*a - 9. Solve -a*i - 3 = m, -i - 3 = m - 6*i for m.
-3
Suppose 312*f = 307*f + 15, 0 = 5*z + 5*f - 390. Solve -76*s + z*s + 4 = i, 0 = -2*i + 2 for s.
3
Let c(q) = q**3 - 15*q**2 - 327*q + 123. Let x be c(27). Solve 3*y = -5*m - 3, -2*m - 3*y + 48 = x for m.
-3
Let x be 1/(-4) - 1/(-4)*-27. Let d be (-11 - x)/((-4)/2). Let f be (-2 - 1) + 4 - -1. Solve -f*k + 10 = -d*a, -5*a + 9*a = -2*k - 2 for k.
3
Suppose -40*p + 86 + 114 = 0. Solve p*l = 2*k + 6*l - 1, -k + 3*l = -4 for k.
1
Suppose 9*d - 397 = 98. Suppose -131 = -4*v - d. Solve 3*r - 4*i + v = 0, -r - 2*i + 6 = -1 for r.
-1
Suppose 20*p - 832 = 19*p + 3*h, 6 = -3*h. Suppose -k = -830 + p. Let v = 7 + 1. Solve -c + 2*d - 12 = k*c, -v = 2*d for c.
-4
Suppose 96*z - 615 + 135 = 192. Solve t + 5 = 5*r, r + 0*t = -t + z for r.
2
Let b be (-1)/(8/(-6))*4 - 16. Let i be 2/(-5)*b/((-104)/(-40)). Solve 5*d = 4*s - 40, -i*d - 3*d + 5 = 5*s for s.
5
Suppose -7*h = 3*h - 120. Suppose 4*g - 20 = 5*d, 0 = -4*d + d - h. Solve -2*j - k - 12 = g, 4*k = -5*j + 12 - 45 for j.
-5
Let d(g) = -2*g - 17. Let l be d(-7). Let k be 6/(-5)*10/l. Suppose 5*z = k*u + 44, -2 = 2*z - 5*u - 6. Solve -z = -3*m, -2*m + 6*m = 2*h + 22 for h.
-3
Suppose f - 79 = -79. Let d = -112 - -116. Solve f = -4*i + 12, d*w + 0*i - 6 = 2*i for w.
3
Let f be 1/(-1) + 6 + -3. Suppose a = -a. Suppose 3*u = 5 + 1. Solve u*k + 2*x - x + f = a, 5*x = 10 for k.
-2
Suppose 4*b - 3*b = 2*w - 2, 21 = 3*b + 3*w. Suppose 7*i - 4 + 130 = 0. Let k(q) = 15*q + 275. Let u be k(i). Solve b = -u*v + c - 4*c, -10 = 2*v - 3*c for v.
-2
Suppose 0 = 24*l - 28*l - 5*z + 28, 6 = l + z. Solve 0 = 4*u - o - 8, 0*o - l*o = -3*u + 6 for u.
2
Let n = -16806 + 16810. Solve g = -n*q + 22, 0*g - 6 = -3*g for q.
5
Let s be (8*4/48)/(2/33). Suppose -2 = m, n - 212 = -3*n + 2*m. Suppose -5*j + n + 3 = 0. Solve 2*x - j = -a, 4*x - 17 - s = -4*a for x.
4
Let w = 14 + 6. Suppose -5*j = 3*y - w, -4*y + 3*j - 2 = 10. Suppose -4*k + 8 = -y. Solve -4*g - 16 = a, -11 = -k*g - 5*a - 1 for g.
-5
Suppose 390*w - 380*w + 40 = 0. Let v(r) = -r**3 - 5*r**2 - 6*r - 4. Let g be v(w). Solve 0 = -2*x + g*x - k - 9, -5*x + 17 = 3*k for x.
4
Let a(o) = -10*o - 136. Let u be a(-14). Solve 0 = 3*v - 0*v - 4*m - 2, 4*v + 16 = -u*m for v.
-2
Let o be (-1)/((9/(-10))/(-9)). Let w(n) = 13*n + 134. Let l be w(o). Solve 0 = 3*b + 4*c - 7 + 3, 0 = b + 4*c - l for b.
0
Let w(b) = 3*b**3 + 9*b**2 + 8*b - 12. Let z be w(-7). Let v be (-6)/(-21) + z/(-56). Solve -3*p - 5*u + v = 0, 0 = -0*u + 3*u - 9 for p.
-1
Let t(a) = a**2 - 2*a + 1. Let r be t(5). Suppose 4*x + 268 = -2*p + 278, -x + 19 = -5*p. Solve -d - 4*d = 3*z + r, -d + 6 = -x*z for d.
-2
Suppose -3*x = -q - 7, q - 2*x = -41 + 39. Solve 0 = 5*n + j - 27 + 7, -2*n - 4*j + q = 0 for n.
4
Let k = -253 - -259. Let x be (-1 + (-2 - -1))*k/(-3). Solve -2*q + 0*q + n + 12 = 0, 0 = -x*q + 4*n + 32 for q.
4
Let i = -9845 + 9863. Solve 3*j - 5*t + 6 = i, -8 = -2*j + t for j.
4
Let c be (8/(-10))/((-2)/5). Suppose -4*f - 50 = -2*d, 5*f - 2 = 6*f. Suppose 3*q = -18 + d. Solve -c = o - 2*o, 5*o - q = -3*p for p.
-3
Suppose -47*u - 212 = -46*u. Let t = 212 + u. Solve 2*c + 4*r = 2, 0*c - c + 2*r + 5 = t for c.
3
Let p(v) = v**3 - 10*v**2 + 23*v - 5. Let a be p(9). Let g = a + -119. Suppose -2*y = -5*h + 8, -2*y + 0*y = -2*h + g. Solve -10 = -s - m, -h*s = m - 3*m for s.
5
Suppose 9*b = 18*b - 324. Suppose -3*v + 24 = -d - 2*d, 2*v - b = -3*d. Solve -3*w + 11 = p, 6*w - 4*w = 4*p + v for w.
4
Suppose -2*p = -5*n + 25, 2 = -2*p - 8. Solve -4*j - n*o + 20 - 18 = 0, o - 5 = 3*j for j.
-1
Let v be (3/4)/(((-804)/(-8576))/(2/8)). Solve 0 = -6*a + 11*a + 4*p + 20, v*a + 5*p + 8 = 0 for a.
-4
Suppose r - 15 = -6. Let h(z) = -6*z**3 + 85*z**2 + 80*z - 64. Let a be h(15). Solve -r = 5*i - 4*g, -3*i + g + 0*g = a for i.
-5
Let a = 725 - 722. Suppose 3*u - 15 = -a*y, 19*u = 14*u + 2*y + 18
|
{
"pile_set_name": "DM Mathematics"
}
|
the third biggest value? (a) 3 (b) 38 (c) v (d) 4/3
d
Let f = 5871 - 5872. Let y = -10.08 - -4.21. Let z = 0.13 - y. Which is the smallest value? (a) z (b) f (c) -0.4
b
Let l = 4.24 - 5.24. Let y = 21.85 - 22. Let m = 1.85 - y. Which is the smallest value? (a) 4 (b) l (c) m (d) 0
b
Let r = -5202.73 + 4976.7. Let t = r - -226. Which is the second biggest value? (a) -2/15 (b) t (c) -2
a
Let a be 4 + 2 + 2 + (-234)/18. Let u = -7 - -4. What is the fourth smallest value in u, 0.6, -0.5, a?
0.6
Suppose 11*p + 291 = 4427. Let k = p + -1124/3. Which is the smallest value? (a) k (b) 4 (c) 61
a
Let j = 0.32 + 8.68. Let l = 4.5 - j. Let q = l + 4.56. Which is the second biggest value? (a) -1/2 (b) q (c) 2
b
Let y = 19213/76868 - -1/19217. Which is the third smallest value? (a) -250 (b) y (c) -3 (d) -1
d
Let v = 252/13 + -1273/65. What is the second smallest value in -4/15, 1.4, 2/5, v?
v
Let w(y) = -45*y**3 - y**2 - y - 1. Let o be w(-1). Suppose 6*k = -5*k + o. Let z = 13 + -13.1. What is the third smallest value in -1, -2/15, z, k?
z
Let q = -158 - -153.97. Let s = 0.03 + q. Let p = 14403 + -14403.2. Which is the second biggest value? (a) p (b) s (c) -0.24
c
Let z = 2.06 - 1.66. What is the third biggest value in -66, -0.4, -3/5, 3, z?
-0.4
Let s = 259/5 - 52. Let m = -1100.6 - -1207. Let o = 109.4 - m. What is the third smallest value in o, s, -0.4?
o
Let w be (-604)/(-18)*9/18. Let g = -94/9 + w. Which is the biggest value? (a) g (b) 7 (c) -1
b
Let l = -141 + 2117/15. Let i be 1/(223/(-24))*360/(-1440). Let y = i - -404/1561. Which is the smallest value? (a) y (b) -5 (c) l
b
Let a = 10 - 5. Let c = -31.66 + 31.37. What is the third smallest value in 4, a, c?
a
Let z = 73.86 + -73.46. Which is the third biggest value? (a) z (b) -2 (c) 1/5 (d) 2 (e) 5
a
Let p = -160 + 207. Let u = 55.2 - -1.8. Let x = p - u. Which is the biggest value? (a) 1 (b) -1/6 (c) 0.4 (d) x
a
Let y(k) = -3*k - 21. Suppose 4*f + 20 = g, -10*g = 2*f - 9*g + 10. Let t be y(f). Suppose -8 = -7*h + 3*h. What is the biggest value in 0.1, t, h?
h
Let m = -65.983 + 66. Let u = m - 3.017. Let p = 304 - 306. Which is the smallest value? (a) 1/4 (b) u (c) -1 (d) p
b
Let j = -1217.4 + 1126. Let o = -3033 + 2942. Let n = o - j. Which is the third smallest value? (a) 5 (b) n (c) -1/3 (d) 2/7
b
Let d = 620 + -604. Let m be 7/(-1) - (-136)/d. What is the second biggest value in m, 1/25, 0?
1/25
Let o = 357 + -229. Let d = -133 + o. Which is the second smallest value? (a) d (b) 3.3 (c) 0.5
c
Let r = -13388 + 13361. Which is the second biggest value? (a) -2 (b) -2/3 (c) 2 (d) r
b
Suppose -3*u + 4*s + 4 = 0, 5*u - 3*s = -6*s - 32. Let n be (11/4)/11 + 2 + (-155)/60. What is the second smallest value in n, u, 0.9?
n
Let p = 23967 + -23972. Let z = -3.1 + 3. What is the third smallest value in -0.4, z, 11, p?
z
Let f = 8/11 - 163/330. Let h = f - 1/30. Let n be 0 + 0 + 2/(-3). Which is the third biggest value? (a) -4/9 (b) h (c) 5 (d) n
a
Let y be ((-354)/590)/((-12)/(-50)). What is the smallest value in -0.3, y, 1/5, 0.6, 0.3?
y
Let d be 32/12*-3 + (26 - 19). What is the fourth smallest value in -4, 0.31, 5, 0.4, d?
0.4
Let s = -373 + 371. Let b be (3 + s - 2)/((-3)/(-3)). What is the third smallest value in -4, 3/14, b?
3/14
Let u be 2/8 + 10/(-8). Let y = 10.1858 - 9.4858. Let f = 0 + -0.4. Which is the fourth smallest value? (a) f (b) u (c) -2 (d) y
d
Let r = -2/307 + 8907/614. Let d = -6437 + 38705/6. Let g = r - d. Which is the second smallest value? (a) 3 (b) g (c) -2/11
b
Let y = -23038 - -23104. Which is the third smallest value? (a) -0.3 (b) 0.1 (c) 2 (d) y (e) 2/3
e
Let x = -21.11 - -21. Let n = -6180 + 43262/7. What is the smallest value in x, n, 0.2?
x
Let o = 1.97 - -0.03. Let u = -1594/3339 - -342/371. Which is the second smallest value? (a) o (b) 1/11 (c) u
c
Let d = -4217/5 - -33721/40. What is the third biggest value in 3, d, 0.05, -28?
d
Let b(k) = k**2 - 26*k - 106. Let d be b(30). What is the third biggest value in -1.5, -1, d?
-1.5
Let a = 192 + -197. Let l be 1*-2*(-10)/(-530). What is the biggest value in -1/8, -3, a, l?
l
Let j = -6.8 + 4.8. Let n be 1*-2 - 40/(-18). Which is the second smallest value? (a) 4 (b) 1 (c) j (d) n
d
Let w = -226.65 + 229.65. What is the second biggest value in w, 0.048, -4, 5?
w
Let t = 68455/13 + -5263. Which is the third smallest value? (a) -5 (b) 2 (c) t
c
Suppose -35*w - 9*w = 88. Let s = -1.02 + 1. Let f = 3.68 - -1.32. Which is the second smallest value? (a) w (b) f (c) s
c
Let l be (-3 - -1) + 133/21 + -4. Let u = -137/2 - -67. Which is the biggest value? (a) u (b) 3 (c) 2 (d) l
b
Let q be 2/(-6) + (-78)/(-18) + -10. Let h be (-60)/q*(-2)/4. Which is the second smallest value? (a) 0.1 (b) -24 (c) h (d) -1
c
Let p = -0.78 + 0.8. Let g = p - -0.18. Let m = 5110 - 5109.6. Which is the biggest value? (a) 0.14 (b) m (c) g
b
Let r = -47155 - -46950. Which is the third biggest value? (a) 5 (b) -3 (c) r
c
Let x = 193 - 193.086. Let m = 0.156 + x. Which is the second biggest value? (a) 0.08 (b) 0.5 (c) m
a
Let h = -579 - -574.87. Let s = -1.13 - h. Let y = 8 - 6. Which is the third smallest value? (a) s (b) 8 (c) y
b
Let j = -0.41 - 4.49. Let o = j - -7.9. Let x = -0.9 + -2.1. What is the third smallest value in -2, x, o, -1/3?
-1/3
Let m = 1.1488 + -1.0088. Which is the third smallest value? (a) 2 (b) 2/13 (c) m (d) 5
a
Let f be (-1 - 2/(-4))/(2303/658). Suppose 0*j - 3*j = -12. Suppose -j*u - 27 = -6*r + 5*r, -u + r - 9 = 0. What is the smallest value in -0.4, u, f?
u
Let f = 0.13 - 0.43. Let u be (-6 + 117/26)*6/21. Which is the second biggest value? (a) u (b) 0 (c) 2/81 (d) f
b
Let w = 6 + -5.5. Let j = 149.8 + -23.8. Let u = -121 + j. Which is the biggest value? (a) w (b) -8 (c) u
c
Let t be 3 + ((-24)/36 - 20/9). Let q = 10.9 + -11.49. Let n = 0.59 + q. Which is the third smallest value? (a) 0.3 (b) t (c) n (d) 0.1
b
Let s = -32.779 + 32.479. Which is the second smallest value? (a) -107 (b) s (c) 1.7
b
Let b(c) = 10*c**2 + 129*c - 17. Let v be b(-13). Let o = 1 - 2. What is the third smallest value in o, v, 4, 2?
2
Let d = 0.42 - 0.02. Let z = -352698 - -352698.2. What is the third smallest value in 1.5, -0.1, d, z?
d
Let l = -1164/7 - -166. Let g = 583.2 + -583. Which is the fourth biggest value? (a) l (b) g (c) -1/5 (d) -0.3
d
Suppose -4*q + 5*r = -21 - 10, 3*q = r + 15. Let g be q - -2 - 1/1. Let j = -434/9 + 871/18. What is the second smallest value in 0.2, g, j?
0.2
Let q be 259/(-3108) - (-4)/(-96). Suppose 4 = -5*z - 1. Which is the second smallest value? (a) q (b) 5 (c) z
a
Let i = 1.15 - 13.15. Let v = 11.9 + i. Let y = -0.9 + 0.5. Which is the fourth smallest value? (a) v (b) y (c) -0.5 (d) 1/49
d
Let i be 2/(96/(-54))*7/21. Which is the fifth smallest value? (a) 106 (b) 1/4 (c) i (d) -2/5 (e) -0.1
a
Let x = 2.5 - 0.5. Let i = 7397.2 + -7399. Which is the second smallest value? (a) i (b) 0 (c) x (d) 4
b
Let j = -219.246 - -219. Let h = -0.754 + j. What is the third biggest value in h, -0.1, 3, 9?
-0.1
Let h = 350 + -376. Let t = -26.3 - h. Which is the fourth smallest value? (a) 0.3 (b) t (c) -7/4 (d) -4
a
Let d = 1.345 + -0.845. Which is the second biggest value? (a) d (b) -0.1 (c) -2/139
c
Let x = 0.6829 + -0.5829. What is the third biggest value in 1, x, -1922, 2?
x
Let w = 31/60 - -3/20. Let g = 1263.7 - 1209. Let n = 55 - g. Which is the second smallest value? (a) n (b) 1/3 (c) w (d) 4
b
Let d = -591 + 310. Let b = d - -284. What is the third biggest value in -3/5, b, 15?
-3/5
Let r = 0.35 + -0.05. Let a = 3766 + -3767. What is the second smallest value in r, -1.8, 4, a?
a
Let j = -517/63 + 59/7. Let q = -16 + 18. Let z = -9/8 + 13/8. Which is the second smallest value? (a) z (b) 0.3 (c) q (d) j
b
Let h be ((-1)/3)/(4/(-6)). Suppose -105*q + 864 = 118*q - 414*q + 95*q. Which is the third smallest value? (a) -0.2 (b) q (c) h
c
Let f = 457 - 1339. Let a = -895.74 - f. Let d = a - 0.26. What is the third biggest value in -5, d, -3?
d
Let z be (-168)/(-27) - 34/153. Let r be (279/(-46) + 6)/(z/8). What is the fourth biggest value in r, 2/13, -5, 13?
-5
Let w = 27443
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 6*m - 28. Let o(w) = -6*k(w) - 5*z(w). Determine s(o(d)).
755*d**2 + 10
Let v(n) = -612*n**2 + 2025*n - 3. Let s(i) = 2*i. Determine v(s(o)).
-2448*o**2 + 4050*o - 3
Let a(l) = -7*l**2 + 2300. Let j(n) = -359*n + 3. What is j(a(v))?
2513*v**2 - 825697
Let x(u) = -3*u - 57. Let p = 319 + -314. Let f(j) = -j - 16. Let l(g) = p*x(g) - 18*f(g). Let q(c) = -3*c. Determine l(q(a)).
-9*a + 3
Let l(b) = -185*b + 30. Let h(z) be the first derivative of z**2/2 + 5*z - 206. Let x(i) = -6*h(i) + l(i). Let f(p) = p. Calculate f(x(w)).
-191*w
Let q(x) = 14*x. Let j(g) = -g**2 + 29*g - 52. Let p be j(27). Let b(i) = 36*i - 2*i**p - 78*i + 42*i. What is q(b(y))?
-28*y**2
Let i(f) be the first derivative of 71*f**6/90 + 58*f**3 + 59. Let m(u) be the third derivative of i(u). Let o(l) = 2*l**2. Determine m(o(c)).
1136*c**4
Let t = 259 + -257. Let i(q) = 37*q**t - 24 + 24. Let a(b) = b**2. Determine a(i(l)).
1369*l**4
Let b(u) = -u**2. Suppose 2*h + 10 = 0, w + h = 3*w + 1. Let c(y) = -y**2 - 2*y - 1. Let r(i) = 7*i**2 + 28*i + 14. Let z(m) = w*r(m) - 42*c(m). Give z(b(t)).
21*t**4
Let p = -7 + 9. Let u(m) = -15*m**2 - 2 + p + 13*m**2. Let g(s) = 28*s. What is u(g(z))?
-1568*z**2
Let x(l) = -5*l. Let h(y) = -4 + 0 - 1 - 2*y**2. Let w(c) = -1. Suppose -27 = -428*a + 401*a. Let q(t) = a*h(t) - 5*w(t). What is x(q(p))?
10*p**2
Let a(v) = -194*v**2. Let p(i) = 13*i**2 - 40*i - 8. Let r(z) = -8*z**2 + 25*z + 5. Let x(t) = 5*p(t) + 8*r(t). Calculate x(a(j)).
37636*j**4
Let h(d) = 2*d + 2. Let z be (-8)/(-7)*21/6. Let f(w) = -1. Let l(j) = z*h(j) + 8*f(j). Let a(i) be the second derivative of i**4/3 + 16*i. Determine a(l(v)).
256*v**2
Let g(f) = -3*f - 52. Let l(o) = -o - 26. Let a(k) = g(k) - 2*l(k). Let h(b) = 476*b**2 - 2*b. What is h(a(s))?
476*s**2 + 2*s
Let w(a) = -a + 57. Let d(x) = -2*x**2 + 6438*x - 7. Determine w(d(c)).
2*c**2 - 6438*c + 64
Let q(m) = 21071*m**2. Let x(w) = 320*w**2 + 2. Give x(q(j)).
142075853120*j**4 + 2
Let w(k) = 3*k**2 - 29*k. Let p(g) = 14*g**2 - 160*g. Let h(f) = 3*p(f) - 16*w(f). Let u(q) = -q. Calculate u(h(b)).
6*b**2 + 16*b
Let v(y) = 4*y**2 + 4. Let s(x) = -8*x**2 - 9. Let q(f) = 4*s(f) + 9*v(f). Let n(u) be the third derivative of u**5/3 - 18*u**2. Give q(n(d)).
1600*d**4
Let j(t) = -2*t**2 + 2785*t - 1 - 2785*t. Let l(s) = -32*s. Calculate j(l(v)).
-2048*v**2 - 1
Let l(s) = 20 - 925*s - 97 + 18 + 59. Let q(j) = -2*j. Calculate l(q(b)).
1850*b
Let b(l) = -3*l**2. Suppose 3*c - 3*x = 9, 7*c - 4*c + 4*x = -26. Let u(a) = 7*a - 11. Let q(n) = -5*n + 11. Let m(z) = c*u(z) - 3*q(z). Give m(b(d)).
-3*d**2 - 11
Let v(n) = -69*n**2 + 36*n - 18. Let o(z) = -33*z**2 + 16*z - 8. Let d(s) = -9*o(s) + 4*v(s). Let m(l) = 41*l. Calculate m(d(g)).
861*g**2
Let j(c) = 4*c**2. Let n be 21/(-6) + 2 - (-105)/6. Suppose -3*r + 4*d + 18 = d, n = 3*r - 4*d. Let w(g) = -r*g - g - 4*g + 2*g. What is j(w(y))?
484*y**2
Let v(p) = -46*p**2. Let u(n) be the third derivative of -157*n**4/24 - 22*n**2 + 3*n - 3. Determine u(v(f)).
7222*f**2
Let q(g) = -g. Let c(v) = v**2 + 10886776*v - 1. Give c(q(r)).
r**2 - 10886776*r - 1
Let u be (-4245)/55 + 8/44. Let v(z) = -11*z + 4. Let f(d) = -420*d + 154. Let s(l) = u*v(l) + 2*f(l). Let a(w) = 13*w**2. Determine a(s(j)).
637*j**2
Let a(p) = 59900339*p. Let s(m) = 2*m. What is a(s(y))?
119800678*y
Let k(i) = -2*i. Suppose -8*p + 26*p - 1674 = 0. Let b(x) = -p*x**2 + 24*x**2 + 43*x**2. Determine k(b(d)).
52*d**2
Let i(k) = -k - 45. Let g = -7889 - -13335. Let r(n) = -n**2 + g - 5446 - n**2. Calculate r(i(l)).
-2*l**2 - 180*l - 4050
Let m(f) = -23651*f**2 + 97*f. Let h(t) = 2*t**2. Give m(h(p)).
-94604*p**4 + 194*p**2
Let w(h) = 404*h - 1. Let y(b) = -1 + 1 - 5075*b + 5077*b. Give w(y(d)).
808*d - 1
Let a(k) = -4*k**2 + 6. Let y be (3/(-2))/(3/(-12)). Let i(l) = -35*l**2 + 55. Let r(c) = y*i(c) - 55*a(c). Let h(j) = -12*j**2. Determine r(h(f)).
1440*f**4
Let y(t) be the second derivative of t**3/6 - 9*t**2/2 + t. Let q(o) = -46*o + 169*o - 54*o - 67*o. Calculate y(q(f)).
2*f - 9
Let r(s) = 474946 - 474946 + 37*s**2 + 17*s**2. Let d(v) = -7*v. Calculate d(r(f)).
-378*f**2
Let c(d) = -1465*d**2. Let z(f) = -1365 - 3*f - 1273 - 5*f + 2638. Calculate z(c(w)).
11720*w**2
Let l(m) = -57*m. Let n(u) = 1049*u**2 + 1055*u**2 - 3163*u**2 + 1047*u**2. Give n(l(v)).
-38988*v**2
Let r(x) be the first derivative of -5*x**2 + 4708. Let n be 6/4 - (-4)/8. Let o(b) = -3*b**2 + 0*b**n - 3 + 3. Determine r(o(w)).
30*w**2
Let b(r) = 238*r. Let m(y) be the second derivative of 3*y**3/2 + 5*y + 149. Determine m(b(h)).
2142*h
Let b(i) = 11*i**2. Suppose 0 = 45*v - 989 - 6121. Let f(o) = 312 - 154 - v + 10*o. Calculate b(f(q)).
1100*q**2
Let j(k) be the second derivative of -53*k**3/6 - k**2/2 - 764*k. Let q(i) = 49*i - i**2 - 49*i. Give q(j(p)).
-2809*p**2 - 106*p - 1
Let m(n) be the second derivative of -7*n**4/12 + n**2 + 46*n. Let j(t) = -2*t**2 + 1. Let c(a) = -2*j(a) + m(a). Let i(x) = 10*x. Calculate c(i(l)).
-300*l**2
Let i(t) = -69233*t. Let l(r) = 6309*r**2. Give i(l(w)).
-436790997*w**2
Let b = 32 - -1. Let t(z) = b*z - 27*z - 12*z. Let c(g) = -5*g. What is c(t(l))?
30*l
Let p(n) = -21388504*n. Let g(k) = 2*k**2. Calculate p(g(o)).
-42777008*o**2
Let c(b) = 1963*b**2. Let m(g) = -155*g**2 + 225*g - 315. Let t(v) = -7*v**2 + 10*v - 14. Let h(q) = 2*m(q) - 45*t(q). What is c(h(d))?
49075*d**4
Let i(f) = -4169 + 22*f + 4169. Let r(y) = y + 7. Let z be r(-5). Let q(o) = o + o + z*o - 6*o. Determine i(q(c)).
-44*c
Let l(i) = 249*i. Let r(y) be the first derivative of -3*y**2/2 - 18. Give l(r(w)).
-747*w
Let v(l) = -4*l - 2. Let a(o) = 1538*o + 12. Let q(p) = a(p) + 6*v(p). Let y(j) = -3*j. Give q(y(k)).
-4542*k
Let i(y) = -9*y**2 + 7*y + 115. Let z(d) = 4*d**2 - 3*d - 50. Let k(q) = -3*i(q) - 7*z(q). Let w(t) = -9*t**2. What is k(w(c))?
-81*c**4 + 5
Let t(k) = k**2. Let p = -321 - -328. Let c(m) = p - 2 + 100*m**2 - 5. Determine c(t(n)).
100*n**4
Let c(j) = 4248510*j. Let o(g) = 11*g**2. Calculate o(c(f)).
198548209421100*f**2
Let g(r) = 32*r + 8. Let b(f) = 2*f + 1. Let c(u) = 8*b(u) - g(u). Let n(j) = 70*j. Determine c(n(t)).
-1120*t
Let s(g) be the second derivative of 7*g**4/12 - g - 806. Let o(f) = 191*f**2. Give o(s(k)).
9359*k**4
Let x(g) = 2*g**2. Let h(a) = 422*a + 190*a + 1 - 42*a. What is h(x(z))?
1140*z**2 + 1
Suppose -k = -0*t - 2*t - 10, 16 = -4*t. Let l(c) = -1589 + 1589 - 3*c**k. Let w(f) = 8*f**2. What is w(l(j))?
72*j**4
Let d(h) = 330*h**2. Let c(l) = 3*l + 9129. Determine c(d(z)).
990*z**2 + 9129
Let k(t) = -1458*t**2 + 2932*t**2 + 1 - 1460*t**2 + 0*t + 0*t. Let u(h) = -5*h**2. What is k(u(f))?
350*f**4 + 1
Let s(q) = -q**3 - 5*q**2 - q + 20. Let m be s(-4). Let v(j) = -m + 1 + 7 - j**2. Let o(t) = -13*t - 86 + 36*t + 86. Give v(o(g)).
-529*g**2
Let k(x) = 2*x + 7. Let r(t) = 65*t + 245. Let n(o) = -35*k(o) + r(o). Let b(f) = 30*f**2 + 1. What is n(b(u))?
-150*u**2 - 5
Let j(d) = -3*d**2. Let i(z) = -1602825*z. Determine j(i(n)).
-7707143941875*n**2
Let t(c) = c + 5. Let y(l) be the second derivative of -l**3/6 - 2*l**2 - 24*l - 2. Let h(f) = -4*t(f) - 5*y(f). Let s(j) = 21*j**2. Determine s(h(m)).
21*m**2
Let f(w) = -3*w. Let y = -120 - -115. Let t(a) = 2*a. Let u(v) = y*f(v) - 6*t(v). Let p(s) = -28*s. Determine u(p(o)).
-84*o
Let l(o) = -o. Let p(u) = 8*u**2 - 380*u + 1215. What is l(p(n))?
-8*n**2 + 380*n - 1215
Let s(y) = -4*y - 35. Let t(m) = -3*m - 35. Let z(i) = -3*s(i) + 2*t(i). Let r(c) = c. Calculate z(r(f)).
6*f + 35
Let t(l) = 32*l. Let x(q) = -4*q**2 - 6*q - 141. Let p(n) = n**2 + n + 13. Let w(o) = 6*p(o) + x(o). What is t(w(r))?
64*r**2 - 2016
Let g(z) = 2*z - 9. Let v(r) = -10*r + 48. Let t(s) = -16*g(s) - 3*v(s). Let q(h) = 6*h + 83. Calculate t(q(x)).
-12*x - 166
Suppose -26 = -11*i - 4. Let j(z) = 5 - 2*z**2 + 5*z**i - 5 - 6*z**2. Let s(g) = -106*g. What is j(s(m))?
-33708*m**2
Suppose 4 = -l + 5*l. Let x(i) = 3 + 2*i**2 - 4 + l. Let g(w) = -8*w**2 + 10*w - 15. Let y(s) = 2*s - 3. Let k(v) = -g(v) + 5*y(v). Calculate x(k(c)).
128*c**4
Let t(i) = i - 2 + 2 + 1. Let g(l) = -8*l + 8. Let z(h) = 2*h - 1. Let p(v) = -g(v) - 5*z(v). Let u(c) = -p(c) - 3*t(c). Let a(f) = -6*f**2. Calculate u(a(x)).
6*x**2
Let c(z) = 57*z**2 - 5*z - 24. Let k(d) = -91*d**2 + 8*d + 32. Let o(t) = 8*c(t) + 5*k(t). Le
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -4*d + 667 = -425. What is the remainder when d is divided by 61?
29
Suppose 3*s - 7*s - 25 = -5*w, 10 = -4*s + 2*w. Suppose -4*z = -s*m - m - 68, 5*z - 102 = -3*m. Calculate the remainder when 71 is divided by z.
17
Suppose -k - 5*d = -3*d, -8 = -3*k + 2*d. Suppose -3*z + 126 + 51 = 4*a, 0 = k*z - 6. Suppose -2*o + 8 = -a. Calculate the remainder when o is divided by 7.
4
Let v be -34 + (-1)/(-2)*6. Suppose -2*k + 349 = 5*u + 2*k, -4*u + 2*k + 300 = 0. Let i = u + v. What is the remainder when i is divided by 11?
9
Let t(g) = -3*g - 4. Suppose 4*x = 3*a + 31, -2*a + 2*x = 2*a + 28. What is the remainder when 10/(-15)*(-63)/2 is divided by t(a)?
10
Let s = -30 + 43. Suppose 4*o = 8 + 128. What is the remainder when o is divided by s?
8
Suppose 3*i + 7*i - 990 = 0. Let u(b) = -b**3 - 4*b**2 + 2*b + 10. Calculate the remainder when i is divided by u(-5).
24
Calculate the remainder when 25 is divided by ((-9)/((-441)/(-28)))/((-4)/42).
1
Let u = 70 + 32. Let q be (-935)/6 - (-2)/(-12). Calculate the remainder when u is divided by q/15*10/(-4).
24
Suppose 4*m + 14 = 2*m + 2*a, 0 = -4*a + 20. Let t be -1 - (5 + -3)/m. Suppose -45 = -t*z - 3*z. What is the remainder when 59 is divided by z?
14
Suppose 2*q + d - 207 = 97, 594 = 4*q - 5*d. What is the remainder when q is divided by 81?
70
Suppose q - 2*q + 2 = 0. Suppose m - 5*x = 72, -2*m - q*x = -7*x - 119. Let b(r) = r**2 - 13*r + 38. Calculate the remainder when m is divided by b(11).
15
What is the remainder when 910 is divided by 21/14*(7 + 9)?
22
Suppose -629 = -32*s + 587. Let h(y) = -39*y - 4. Calculate the remainder when h(-3) is divided by s.
37
Suppose -5241 = -12*a + 147. What is the remainder when a is divided by 13?
7
Suppose 0 = -t + 4*y - 1, 2*t + 2*y + 3*y + 67 = 0. Let g = -19 - t. Calculate the remainder when g is divided by 1.
0
Suppose 2*r - 2*m = 6*r - 252, m - 64 = -r. What is the remainder when r is divided by 33?
29
Let q(r) = r**3 - 2*r**2 + 12*r - 8. Calculate the remainder when 70 is divided by q(3).
33
Suppose -23 = -2*v + 3. Suppose b + 3*b + 120 = 0. What is the remainder when v is divided by b/(-4)*(-10)/(-15)?
3
Calculate the remainder when 135 is divided by 1*(4 - -6)*4.
15
Suppose d = -v + 72, 6*d + 390 = 11*d - 5*v. Suppose 0 = -3*q + q + x - 85, -2*q = -4*x + 76. Let t = q + d. What is the remainder when t is divided by 11?
9
Suppose -37 = -25*s + 63. Let h(u) = 5*u**2 + u + 2. Let a be h(-3). Suppose a = 3*q + q. What is the remainder when q is divided by s?
3
Suppose 0 = -9*z + 8*z - 11. Let h = 32 + z. Calculate the remainder when 81 is divided by h.
18
Let p be (-1 + 34 - -1)/(0 - -2). Suppose 55 = -p*y + 22*y. Calculate the remainder when 20 is divided by y.
9
Suppose k + 0*q = -q + 34, 3 = q. Calculate the remainder when k is divided by 14*(-8)/2*(-27)/126.
7
What is the remainder when 95 is divided by (17/((-714)/(-72)))/(2/56)?
47
Let a(n) = -5*n**2 - 75*n + 2264. Let z = -2 + 4. Suppose -z*t + 4*t - 54 = 5*h, 2*t - 58 = 4*h. What is the remainder when t is divided by a(-30)?
9
Suppose i - 291 = -2*i. Suppose 227 = -7*o - 53. Calculate the remainder when i is divided by (-30)/o + 77/4.
17
Suppose -6*s = -2*s. Suppose 3*r - 5*r + 30 = s. Let m(p) = p**3 + 15*p**2 + 21*p - 8. What is the remainder when m(-13) is divided by r?
12
Suppose 21 - 56 = -5*x. Suppose -3*h - 12 = 0, 0 = -3*u + x*h - 3*h + 88. Calculate the remainder when 66 is divided by u.
18
Let q be 4/(-28) + 36/7. Suppose -4*j - 25 = -q*j. Let a = 17 + -10. Calculate the remainder when j is divided by a.
4
Suppose 18*j + 58 = 20*j - 4*d, j = -d + 47. Calculate the remainder when j is divided by 1/2 - (-58)/4.
11
Let j(g) = -g + 24. Suppose -3*f - 9 - 21 = 0. Let t = f - -30. Calculate the remainder when j(-15) is divided by t.
19
Suppose 4*m - 6*m + 220 = 0. What is the remainder when m is divided by (-6 + 14)/40*(1 + 184)?
36
Suppose -14*c - 5 = -131. Let n(a) = -2*a - 3. Let s be n(-3). Suppose 3*j = -k + 94, s*k + k = -8. Calculate the remainder when j is divided by c.
5
Suppose 0 = -16*n - 49 + 145. What is the remainder when 77 is divided by n?
5
Let a(i) = i**3 - 4*i**2 - 2*i - 5. Let z be (14/21)/(4/78). Suppose -f + 6 = -z. Calculate the remainder when f is divided by a(5).
9
Suppose 911*r + 95 = 916*r. What is the remainder when 313 is divided by r?
9
Suppose 5*c - 19 = -3*m + 18, 0 = -5*m + 4*c. Let g(v) = 2*v**2 - 2*v + 4. Calculate the remainder when 138 is divided by g(m).
26
Let c = -40 + 95. Let w = 80 - c. What is the remainder when w is divided by 7?
4
Let a(s) = -5*s**2 - s + 1. Let f be a(1). Let u be (-2)/f*5 - -2. Suppose 2*v = u - 2, -5*p = 3*v - 298. What is the remainder when p is divided by 15?
14
Let x(o) = 3*o**2 - 11*o - 8. Let b be x(-8). Suppose 3 = -c, -4*c - 165 = s + 22. Let d = s + b. Calculate the remainder when d is divided by 25.
22
Suppose -15 = 16*g - 17*g. Calculate the remainder when 1032 is divided by g.
12
Let q = -1065 - -1141. Calculate the remainder when q is divided by 29.
18
Let g be (56/20)/(-7)*50. Let s be (54/(-4) - 1)*-2. Let b = s + g. Calculate the remainder when 16 is divided by b.
7
Suppose -12 + 16 = 4*j. Let v = 2 + j. Suppose -i + 11 = v. Calculate the remainder when 15 is divided by i.
7
Let v(j) = -5*j - 6. Let b be v(6). Let f = b - -9. Let i = -5 - f. Calculate the remainder when i is divided by 8.
6
Let v = 1559 - 1492. Let t = 4 + 13. Calculate the remainder when v is divided by t.
16
Let r(q) = -q**2 + 9*q - 9. Let a be r(7). Suppose -s + a*j + 86 = 0, -j - 74 = -s - 0*j. What is the remainder when s is divided by 18?
17
Suppose -4*y + 22*m - 27*m + 343 = 0, -3*m = 2*y - 173. Suppose 4*j = -4*b + 176, 4*j + 38 = b + 2*j. Calculate the remainder when y is divided by b.
40
Let u(p) = -63*p - 99. What is the remainder when u(-3) is divided by 64?
26
Suppose 0 = 5*q - 0 + 15. Let i be q - (-21)/(6 + -3). Suppose -2*k + 14 = 5*l - 3*l, 4*l + 60 = i*k. What is the remainder when k is divided by 4?
3
Suppose -16 = -2*i + 16. Calculate the remainder when 639 is divided by i.
15
Suppose 295 = 5*d - 5*k, 2*k = -5*d - k + 311. Let c = d + -45. Suppose 127 = 3*p - 62. What is the remainder when p is divided by c?
15
Let a = -5 + 11. Let p be 6/8*16/a. Suppose -m = p*m - 96. Calculate the remainder when 61 is divided by m.
29
Let r(a) = 46*a**2 - 6*a - 4. Let d(o) = -4*o**3 + 3*o - 4. What is the remainder when d(-3) is divided by r(-1)?
47
Let j(w) = 5*w**3 - 17*w**2 + 27*w - 5. What is the remainder when 65 is divided by j(2)?
2
Suppose 5*i + 275 = 65. Let d = i - -61. Suppose -5*m = -2*p + 115, 0 = -49*p + 51*p + 2*m - 108. Calculate the remainder when p is divided by d.
17
Let c = 361 + -352. What is the remainder when 45 is divided by c?
0
Suppose 207 - 699 = -6*i. Calculate the remainder when 193 is divided by i.
29
What is the remainder when 274 is divided by 0 + 0 - 3 - (-13 - 136)?
128
Suppose -43*r + 5432 = 143. What is the remainder when r is divided by 18?
15
Let q(v) = 5*v**2 + 13*v + 7. Let o = 3 - -22. Suppose -2*y + o = -7*y. Calculate the remainder when q(y) is divided by 14.
11
Let t(a) = -5*a**3 + 2*a**2 + 2*a + 1. Let v be t(-1). Let i(s) = -7 + 3 - 3 - 4 + 2 + 3*s. What is the remainder when i(v) is divided by 5?
4
Suppose -67*a + 68*a = -4*l + 1200, -l - 5*a + 319 = 0. Calculate the remainder when l is divided by 12.
11
Suppose 3*c - 6 = -3*w, w = 3*c + 4 - 14. Suppose -c*h + h = -84. What is the remainder when h is divided by 11?
9
Suppose -5*q + 4*d = -140, -5*d + 153 = 3*q + q. Let a = 111 + -50. Suppose k = 34 + a. What is the remainder when k is divided by q?
31
Suppose -101*z = -105*z + 16. Suppose -z*w + 12 = 0, -4*w = -4*g - 9*w + 55. Let n(t) = -3*t - 5. What is the remainder when g is divided by n(-4)?
3
Let f(q) = 7*q**3 - 2*q**2 - q + 2. Let m = 43 - 42. What is the remainder when 38 is divided by f(m)?
2
Let t be (-1 - -3)/((-8)/44). Let o = -6 - t. Calculate the remainder when 32 is divided by o.
2
Suppose 0 = 12*v - 15*v + 24. Calculate the remainder when v is divided by 2.
0
Calculate the remainder when 93 is divided by (2/(-1))/((5/(-12))/5).
21
Let r = -134 - -163. Let l = -4 + 58. Calculate the remainder when l is divided by r.
25
Let h(p) = p + 43. Let m(g) = -g. Let o(c) = -25. Let n(q)
|
{
"pile_set_name": "DM Mathematics"
}
|
he terms in 160*d**2 + 1 - 1.
160*d**2
Collect the terms in -2452*a - 2859*a + 1193*a.
-4118*a
Collect the terms in -3*j + 5 + 17 - 2.
-3*j + 20
Collect the terms in 6*o**2 + 3*o**2 - 10*o**2.
-o**2
Collect the terms in 50*k**2 + 62*k**2 - 159*k**2 + 61*k**2.
14*k**2
Collect the terms in -3*v + 2*v + 3*v.
2*v
Collect the terms in 3319 + 2*t - 3319.
2*t
Collect the terms in 305*m**2 - 603*m**2 + 306*m**2.
8*m**2
Collect the terms in 282*o + 292*o + 289*o - 862*o.
o
Collect the terms in 97*u**3 + 10*u**3 - 25*u**3 + 85*u**3.
167*u**3
Collect the terms in 7*m**3 + 0*m**3 - 442*m + 442*m.
7*m**3
Collect the terms in -5*y**3 + 5749 - 5749.
-5*y**3
Collect the terms in 5*w + 6*w - 7*w.
4*w
Collect the terms in 799819 - 799819 - 6*i**2.
-6*i**2
Collect the terms in 9*c - 20*c + 13*c.
2*c
Collect the terms in -1286*f - 2063*f + 583*f.
-2766*f
Collect the terms in -137*q + 842 - 842.
-137*q
Collect the terms in -21*o**2 - 3 + 3.
-21*o**2
Collect the terms in 328975 - k - 328975.
-k
Collect the terms in 5*l**2 + 2*l**2 - 3*l**2 - 12*l**2.
-8*l**2
Collect the terms in -4*b**2 - 4 - 5*b**2 + 2.
-9*b**2 - 2
Collect the terms in 2*s - 4*s - 57600 + 0*s + 57600.
-2*s
Collect the terms in -9*m + 6648 - 6648.
-9*m
Collect the terms in -19*r**2 - 2*r**2 + 3*r**2 - 2*r**2.
-20*r**2
Collect the terms in 5*t**3 - 3 + 0 + t**3 - 4*t**3.
2*t**3 - 3
Collect the terms in 4*b**3 - 6*b**3 + 20*b - 20*b.
-2*b**3
Collect the terms in 190 + 8*y**3 - 190.
8*y**3
Collect the terms in -512 - 5*w**2 + 232 + 280.
-5*w**2
Collect the terms in -52*k**2 + 15*k**2 + k**2.
-36*k**2
Collect the terms in -9560*w + 2*w**3 + 9560*w.
2*w**3
Collect the terms in -9*g - 473 + 473.
-9*g
Collect the terms in 6 + 4 - 16 - t.
-t - 6
Collect the terms in -7*i**3 - 578*i + 578*i.
-7*i**3
Collect the terms in 5*n - 8*n**3 + 12*n - 17*n.
-8*n**3
Collect the terms in 2*j**3 - 5297 + 5297.
2*j**3
Collect the terms in 1 - 2 - 1803*j**3 + 1769*j**3.
-34*j**3 - 1
Collect the terms in -6*d**2 + 7*d - 7*d - 95*d**2.
-101*d**2
Collect the terms in -2*q**2 + 13*q**2 - 5*q**2 - 8*q**2 - 2*q**2.
-4*q**2
Collect the terms in -89*w**2 - 313*w**2 - 85*w**2.
-487*w**2
Collect the terms in 0*a**3 + 137*a - 71*a + 17*a**3 - 66*a.
17*a**3
Collect the terms in 72*j**2 - 14*j**2 - 24*j**2 - 24*j**2.
10*j**2
Collect the terms in -2*p**3 + 2*p + 27*p**3 - 2*p.
25*p**3
Collect the terms in 49 - 143*a - 49 - 49*a.
-192*a
Collect the terms in 7*j - 36*j + 0*j.
-29*j
Collect the terms in 3*w - 73*w + 32*w.
-38*w
Collect the terms in 1 - 13*d**2 - 1 + 17*d**2.
4*d**2
Collect the terms in -703*m + 703*m + 59*m**2 - 56*m**2.
3*m**2
Collect the terms in 93*u - 378*u - 42*u.
-327*u
Collect the terms in -86*s**3 - 2*s + s**3 + 9*s**3.
-76*s**3 - 2*s
Collect the terms in 51*p**3 + 39*p**3 - 78*p**3.
12*p**3
Collect the terms in 4*v**3 - 5*v**3 - 22*v + 5 + 22*v.
-v**3 + 5
Collect the terms in 82*j**2 + 5 - 75*j**2 - 5.
7*j**2
Collect the terms in 57*r**2 + 76*r**2 + 2*r**2 + 11*r**2.
146*r**2
Collect the terms in -23 - 31 + 3*t**3 + 3*t**2 + 54.
3*t**3 + 3*t**2
Collect the terms in 6*k**2 + 3 - 3 + 0*k**2 - 9*k**2.
-3*k**2
Collect the terms in 8 - 15 + 134*i + 7.
134*i
Collect the terms in -2*v**3 + 103*v - 103*v.
-2*v**3
Collect the terms in 7*l - 3*l - 4*l - 4*l**3.
-4*l**3
Collect the terms in 6*y - 2*y + 2*y + 0*y.
6*y
Collect the terms in -395999*o + 2*o**2 + 395999*o.
2*o**2
Collect the terms in -3 + 124*p - 127*p + 4.
-3*p + 1
Collect the terms in -33*x + 5*x + 2 - 4 - 9*x.
-37*x - 2
Collect the terms in 4*b**3 + 231*b**2 - 115*b**2 - 116*b**2.
4*b**3
Collect the terms in -25*j**2 - 20*j**2 - 17*j**2 - 16*j**2 + 80*j**2.
2*j**2
Collect the terms in 18*d**2 + 4230 - 4230.
18*d**2
Collect the terms in -u**3 - 3*u**3 + 3*u**3 - 2*u**3.
-3*u**3
Collect the terms in -16 + 16 + 2*y**2 - 84*y.
2*y**2 - 84*y
Collect the terms in 484*w + 10*w**3 - 168*w - 158*w - 158*w.
10*w**3
Collect the terms in 14*t**2 - 4*t**2 - 15*t**2.
-5*t**2
Collect the terms in -15*s**2 + 15*s**2 - 109*s**3.
-109*s**3
Collect the terms in -224 + 676 - 220 - 232 - m.
-m
Collect the terms in -2*l - 2557086 + 2557086.
-2*l
Collect the terms in 3*l**3 - 16*l + 54*l - 24*l - 14*l.
3*l**3
Collect the terms in o + 0*o + 231*o**3 - o.
231*o**3
Collect the terms in -17*w**3 - 201*w**2 - 185*w**2 + 386*w**2.
-17*w**3
Collect the terms in -6*a + 1 + 8 - 9.
-6*a
Collect the terms in d**2 - 5*d**2 + 345 - 345.
-4*d**2
Collect the terms in 5*w**2 - 28*w**2 - 27*w**2 + 49*w**2.
-w**2
Collect the terms in 2 - 2 + 106*j**3 + 82*j**3.
188*j**3
Collect the terms in 0 + 1 - 140*s**2 - 91*s**2.
-231*s**2 + 1
Collect the terms in -d - d - 7*d + 18*d.
9*d
Collect the terms in -2*i - i + 13*i - 9*i.
i
Collect the terms in -63*v + 28*v + 37*v.
2*v
Collect the terms in -19*g**2 + 16*g**2 + 25*g**2 + 9*g**2.
31*g**2
Collect the terms in 26 - 26 - 10*k.
-10*k
Collect the terms in f**2 + 4141*f - 4141*f.
f**2
Collect the terms in -172*g**2 + 2*g - 2*g + 173*g**2.
g**2
Collect the terms in 2*m**3 - 3*m**3 + 0*m**3 + 12*m**3 - 9*m**3.
2*m**3
Collect the terms in -5*r**3 + 8*r**3 - 11*r**3.
-8*r**3
Collect the terms in 284*q**2 + 282*q**2 - 561*q**2.
5*q**2
Collect the terms in 443 - 2*l - 443.
-2*l
Collect the terms in -9*u**2 - 2*u - 4*u + 0*u - 24*u**2.
-33*u**2 - 6*u
Collect the terms in 1 + 3*f**2 - 1 + 163*f - 163*f.
3*f**2
Collect the terms in -73*t**2 + 73*t**2 + 5*t**3.
5*t**3
Collect the terms in -452 - 463 + 915 - 6*q.
-6*q
Collect the terms in 309 - u + 321 - 630.
-u
Collect the terms in -97*g - 19*g + 30*g + 1.
-86*g + 1
Collect the terms in -4*m**2 + 6*m**2 - 2*m**2 + 5*m**2.
5*m**2
Collect the terms in 2*l**3 - 11*l**3 + 5*l**3.
-4*l**3
Collect the terms in -5*d + 4*d - 25 + 75 - 50.
-d
Collect the terms in -1517 - 2*t**2 + 1517.
-2*t**2
Collect the terms in -15*m**2 + 2*m**2 + 3*m**2 + 7*m**2.
-3*m**2
Collect the terms in 12*i - 6*i + 7*i + 1.
13*i + 1
Collect the terms in -a**3 - 104*a + 3*a**3 + 104*a.
2*a**3
Collect the terms in -2*t + 47 + 13 - 9 + 6.
-2*t + 57
Collect the terms in 499*b + 470*b - 331*b.
638*b
Collect the terms in -64*u**2 + 0 + 0.
-64*u**2
Collect the terms in 4*m**3 + 17*m**3 - 6*m**3.
15*m**3
Collect the terms in 0*m - 14*m + 5*m.
-9*m
Collect the terms in -394*g**3 + 724*g**3 - 363*g**3.
-33*g**3
Collect the terms in -109*z + 43*z + 34*z + 33*z.
z
Collect the terms in 2*u**3 + u**3 + 3*u**3 + 2*u**3 - u**3.
7*u**3
Collect the terms in 20*y**2 - 36*y + 62*y - 26*y.
20*y**2
Collect the terms in -249*w**2 + 134*w**2 + 130*w**2.
15*w**2
Collect the terms in -16*o**2 - 12*o**3 + 16*o**2 + 15*o**3.
3*o**3
Collect the terms in 313*r**2 + r**3 - 3*r**3 - 313*r**2.
-2*r**3
Collect the terms in 2 - 1482*j**2 - 2 + 1468*j**2.
-14*j**2
Collect the terms in 5*j**3 + 15*j**2 + 7*j**2 - 22*j**2 - 4*j**3.
j**3
Collect the terms in 3*y**3 - 49*y + 49*y.
3*y**3
Collect the terms in 134*y**2 - 69*y**2 + 1 - 1 - 64*y**2.
y**2
Collect the terms in 2*d - 240 + 240.
2*d
Collect the terms in -14*c**2 - 31*c**2 - 33*c**2 + 75*c**2.
-3*c**2
Collect the terms in 38*d**3 - 6*d**3 + 2*d**3.
34*d**3
Collect the terms in -5*p + p - 3*p + 5*p.
-2*p
Collect the terms in 32*m - 3 + 3 - 34*m.
-2*m
Collect the terms in a**2 - 181 + 181.
a**2
Collect the terms in 6*j**2 - 6*j**2 - 10*j**2.
-10*j**2
Collect the terms in 9*j - 9*j - 597*j**3.
-597*j**3
Collect the terms in 4*s - 22 + 44 - 22.
4*s
Collect the terms in 23960*l**2 - 11981*l**2 - 11977*l**2.
2*l**2
Collect the terms in -8*q - 12 + 25 - 13.
-8*q
Collect the terms in 36 + 2*x - 36.
2*x
Collect the terms in -2*o**2 + o**2 + 0*o**3 - o**2 - 18*o**3.
-18*o**3 - 2*o**2
Collect the terms in 4*n**2 + 5*n**2 - n**2 - 22*n + 22*n.
8*n**2
Collect the terms in 2*s**2 + 6*s**2 - 3*s**2 - 3*s**2.
2*s**2
Collect the terms in 12*d**2 + 25*d**2 + 8*d**2 + 18*d**2.
63*d**2
Collect the terms in 3*u - u + u + 3*u.
6*u
Collect the terms in 629*u**3 + 216*u**3 + 22*u**3.
867*u**3
Collect the terms in 16*n - 4*n - 9*n - 3*n - 5*n.
-5*n
Collect the terms in -146*x + 291*x - 145*x + 0*x**3 + 11*x**3.
11*x**3
Collect the terms in 2*l**3 - 6*l**3 + 3*l**3 + 4*l**3.
3*l**3
Collect the terms in 0 + 7*l**2 + 0 + 0.
7*l**2
Collect the terms in -28 - 8*f**2 + 11 + 17.
-8*f**2
Collect the terms in -9*p**2 - 21*p**2 + 9*p**2 + p.
-21*p**2 + p
Collect
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the nearest to 0.1 in 2, -0.5, z?
-0.5
Let l = -0.4 + 0.6. Let j = 3 + -3.3. What is the closest to -1 in l, j, 0?
j
Let q = -21.5 + 21. What is the nearest to 2 in -3, -0.2, q?
-0.2
Let u = 2 - 1.6. Let n = -13 + 13. Which is the closest to 0? (a) n (b) u (c) -1/7
a
Let h = -19 - -18. What is the nearest to h in -2/7, 0.5, 1/4?
-2/7
Let j = -5 + 8. Let l = j + -2.9. Let g = 25.3 - 21.3. Which is the closest to 1? (a) l (b) -3 (c) g
a
Let n = -0.9 + 0.5. Let u = 70 + -70.1. Which is the closest to 0.07? (a) u (b) -5 (c) n
a
Let y(m) = -m**2 - 13*m + m**2 + m**2 + 10. Let l be y(12). What is the nearest to -1 in -0.5, l, -3?
-0.5
Let t = 0.8 - 1.1. Suppose 5*u = -k - 1 + 5, 0 = -u + 4*k - 16. Let q = 16 - 19. What is the nearest to 0 in u, q, t?
u
Suppose -1 = -5*g - 6. Let i be 15/10 - 12/7. Let w = -5/14 - i. What is the nearest to -0.1 in 0.2, g, w?
w
Let k = -6 - -5. What is the nearest to 0 in k, -2/17, 0.03?
0.03
Let r = 1/30 + -47/60. Which is the nearest to 3? (a) r (b) -3 (c) 4/7
c
Suppose -5*s - 11 = -3*a - 0*a, -5 = 5*s. Suppose 14 = -a*j - 5*l, -j - 2*l + 15 = -5*l. Let h = -0.2 - -0.1. What is the nearest to 1 in h, -4, j?
h
Let p = -2.4 + -0.6. What is the closest to 2/5 in 0.4, 1, p?
0.4
Let c be (11 - 12)*1/4. What is the nearest to c in 0, -1/3, -0.1?
-1/3
Let m = 30 + -31. Which is the closest to 1/3? (a) 2/9 (b) -0.4 (c) m
a
Let o = -2.1 + 2. Let h be (-3)/4*(-2)/(-6). What is the nearest to h in o, -4/7, -4?
o
Let g = -1/52 + 217/468. What is the nearest to -1 in g, 8, 0?
0
Let j = -2.31 + 2.11. Let z = -6/5 + 17/10. Which is the nearest to z? (a) -0.5 (b) j (c) 1
c
Suppose -10 - 26 = 4*s. Let t = s + 12. Suppose 2*q - 1 = -t. What is the closest to q in 3, -2/7, -3/5?
-3/5
Let v = -130 + 130.5. What is the nearest to -0.5 in 0.3, 0, v?
0
Let n(o) = -3*o**2 + 22*o + 21. Let z be n(8). Let t = 9 - 5. Which is the closest to z? (a) t (b) 1 (c) 3
a
Let r = -0.6 + 0.7. Which is the nearest to r? (a) 3 (b) -2/3 (c) 2
b
Suppose -v + 6 = -2*v. Let y be 5/(-30) + (-13)/v. Suppose -y*z = z - 6. Which is the nearest to 2? (a) -5 (b) z (c) -2
b
Let z be (-6)/(-8) - 1/4. What is the closest to z in 15, 0.2, 0.1?
0.2
Suppose -h - h = 0. Suppose 3*l = -2*l - 10. What is the nearest to 0.1 in h, l, 2?
h
Let z(q) = q - 7. Let d be 2 - (-1 + (-2 - 0)). Let w be z(d). Which is the nearest to -1? (a) 0.1 (b) 0.5 (c) w
c
Let i = -0.34 + -0.66. Let z = 0.2 + -0.3. Which is the nearest to z? (a) 5 (b) -0.2 (c) i
b
Let i be (-30)/5*(-3)/27. What is the closest to i in -2/7, -1/2, -0.3?
-2/7
Let x = 6.9 + 2.1. Let i = 14 - x. Let y be (9/114)/((-3)/(-4)). What is the closest to 1 in i, y, -5?
y
Let g = 2.03 - 0.03. Suppose -4*a + 28 = -4*f + 8, -2*f = -5*a + 10. Let i be a - -2 - 21/9. What is the nearest to 0 in 5, g, i?
i
Let j = 181/6 - 30. Let n = -7.276 + -0.024. Let u = n + 7. What is the nearest to -2 in 1, u, j?
u
Let h = 47 + -233/5. What is the nearest to h in -0.3, -4/5, -5?
-0.3
Let g = -7.17 + -0.33. Let y = g + 7. Which is the nearest to 1/4? (a) 2/11 (b) y (c) -0.1
a
Let s = 4 - 9. What is the nearest to -0.1 in 0.4, -2, s?
0.4
Let z = 2 + -2. Let q = -0.4 + 0.5. Let j = 223/2 - 114. What is the nearest to z in -4, j, q?
q
Let i be (5/(-9))/(7/(-21)). What is the nearest to 2/7 in 2/13, i, -1?
2/13
Suppose 3*n = 5*n + 2. Let h be 3 + (-1 - 1 - n). Let w = 3.83 - -0.17. Which is the nearest to 0.1? (a) 1 (b) w (c) h
a
Let i = 49.6 - 50. What is the closest to -2/13 in -1/5, 0.3, i?
-1/5
Let p = 0.259 + -0.059. Let r = 1 - 5/4. Let y = 0 + 0.1. Which is the nearest to 0.1? (a) r (b) y (c) p
b
Let w = 28 + -19. Suppose -5*q - w = -4. Let x = -13 + 51/4. Which is the nearest to q? (a) 5 (b) x (c) 3
b
Let q be (10/2)/(7/(-7)). What is the nearest to -0.1 in 5, q, 11?
q
Let r be (17 + -17)*(-2)/(-4)*2. Let i be -1*2/(-24)*-3. What is the closest to r in -4/3, i, 0.3?
i
Let g = 96 + -581/6. Let q = 0.031 - -0.169. Which is the closest to -1/2? (a) -4 (b) g (c) q
b
Suppose 3 = u + 4*f, 5*u + 2*f = -5 + 20. Suppose 6*o - 15 = u*o. Suppose -2*g = 3 - o. Which is the nearest to -1? (a) g (b) 5 (c) -1/9
c
Let q = 7 - 4. Let n = -5 + 6. Which is the closest to 1/3? (a) 1/2 (b) n (c) q
a
Let g = -8 + 11. Let i = 0.3 - -1.7. Let z = -6 + i. What is the nearest to -2/5 in g, -1, z?
-1
Let w = 13 - 8. Let f be (-3)/(-5) + (-72)/(-30). Suppose f = -x - 1. What is the closest to 1 in x, 1, w?
1
Let w = 2.97 - -0.03. Let x = 9 + -8. Which is the nearest to x? (a) w (b) 4 (c) 0.1
c
Let y = -0.37 + -0.03. Let v = y - -0.8. What is the nearest to 1 in 1, -4, v?
1
Let s = 31 - 48. What is the closest to -0.1 in -2/9, 1, s?
-2/9
Let y = 17/2 + -9. Which is the nearest to -1/3? (a) -1 (b) 4 (c) y
c
Let x be (2/4)/((-22)/12 + 2). What is the nearest to 0 in -6, x, -1/2?
-1/2
Let k = -0.2 - -0.1. Let w = -684173/20 - -34194. Let v = 57/4 + w. What is the nearest to k in -1, 0.5, v?
v
Suppose 3*w - 50 = -302. Let f = w - -418/5. What is the closest to 0 in f, -1/7, 0.2?
-1/7
Let q be ((-10)/6 + 2)/(8/12). Let h = 0.2 - -0.8. What is the nearest to 1/2 in q, 3, h?
q
Let n = -0.16 - -0.26. What is the closest to 0 in n, -5, 3?
n
Let u(w) = 11*w**2 + 6*w + 5. Let c be u(-4). Let d = c - 625/4. What is the closest to 0.1 in -1/4, -2, d?
-1/4
Let d = -1 + 0.6. Let k(u) = u**2 + 6*u + 6. Suppose -3 = t - 0. Let m be k(t). Which is the closest to 0? (a) -4/5 (b) d (c) m
b
Let l = 1.1 + 1.9. Which is the closest to 0? (a) -4 (b) -5 (c) l
c
Let r = 3139019/42 - 74742. Let t = r - -19/6. Suppose 5*q = 3*q + 2. Which is the nearest to -2/11? (a) -5/3 (b) t (c) q
b
Let q(p) = -p**3 - p**2 + 5*p + 3. Let z be q(-3). Which is the closest to 1/3? (a) z (b) -1 (c) 2/19
c
Let z be (266/(-63) - -4) + 4/(-63). Which is the closest to 1? (a) z (b) 3/8 (c) -20
b
Let n = -49 - -48.8. Let u = -1 + 1. Let d = u - -1. What is the closest to 0.1 in d, n, -0.4?
n
Let x = 18 - 19. What is the closest to 0.1 in -4, x, -0.01?
-0.01
Let n = -30 + 27. What is the nearest to 0 in n, -2, -1/8?
-1/8
Let p(h) = 7*h**3 + h - 1. Let m be p(1). Suppose 3*f - 31 = 5*u - m, -f = u. Which is the nearest to 0? (a) f (b) -2/19 (c) -1
b
Let r = -57/2 - -27. Suppose 2*o + x = 3, 2*o + 3 - 26 = 3*x. Which is the nearest to -2/7? (a) o (b) r (c) -2/13
c
Let t = -0.0179 - 0.0821. Let l = 4.99 + 0.01. What is the closest to t in -3/5, 1/3, l?
1/3
Let i = 4 - 4.6. Let d = -17 + 15.4. Let g = d - i. Which is the nearest to -1/2? (a) g (b) 0.5 (c) -4
a
Let p be (1/(-3))/((-5)/(-20)). What is the nearest to -2/5 in p, 2, 4?
p
Let h be ((-20)/(-4))/(-2 + 0). Let m = -9/4 - h. Which is the nearest to 0.1? (a) m (b) -0.1 (c) 0.4
a
Let v = 2.3 + -2. What is the nearest to 3 in v, -3/5, 3?
3
Suppose 0 = -12*x + 13*x + 1. What is the nearest to 2 in 0.5, 0.1, x?
0.5
Let t = -2 + 10. Let s = t + -8.07. Let r = 4.93 - s. Which is the closest to 0.1? (a) r (b) -0.5 (c) 3/5
c
Let q = 22 - 22. Which is the nearest to 2/3? (a) 2/9 (b) -2 (c) q
a
Let w = -0.6 + 0.5. Let q = 8.17 + -0.17. Let h = -6 + q. Which is the nearest to 0? (a) w (b) h (c) -5
a
Let g be -1*7/84*4. Let f be 1 + (-11)/7 + 1. Which is the nearest to g? (a) 0.4 (b) -1/5 (c) f
b
Let g = 181/3 - 61. What is the nearest to g in 0.4, 5, -1/3?
-1/3
Let m be 4 + 4 + (-60)/8. Which is the closest to -1? (a) -1 (b) m (c) 1.1
a
Let u = 870/7 + -124. What is the closest to u in 0.1, -3, 1?
0.1
Let b = -0.08 + -4.92. What is the closest to -0.1 in b, 0.5, 1/4?
1/4
Let z be 3 + (617/(-187) - 4/(-22)). What is the nearest to -4/11 in 0.5, -3, z?
z
Let n = -0.9 - -0.6. Let q = -0.3 - n. Which is the closest to q? (a) 3 (b) 4 (c) 2
c
Let i = 1.92 + -2.06. Which is the closest to -0.1? (a) 0.3 (b) 0.5 (c) i
c
Let s = -14/3 + 53/12. Which is the closest to 0? (a) -3/4 (b) s (c) 2/13
c
Let q be 25/(-20)*(-2)/5. Which is the closest to 2/5? (a) 2 (b) q (c) 4
b
Let l(x) = -x**3 + 4*x**2 + x - 5. Let r be l(4). Let p = 1 + r. Let i = -121 + 845/7. Which is the nearest to 0.1? (a) i (b) 0.3 (c) p
c
Let f = -5.3 - -5.6. Let m = -1.1 + 0.1. Which is the nearest to m? (a) f (b) 4 (c) 1
a
Suppose -3*q = -j - 4, -2*q - 6 = 5*j - 3. Let z = -1.5 + 1.3. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
se -b*q = -3*q + 278. Is q a composite number?
True
Suppose 0 = l - 5. Let k(a) = a**3 - 4*a**2 - 4*a + 5. Is k(l) composite?
True
Suppose 0*v + 3 = v. Suppose v*u = 6*u. Suppose -2*q + 3*m = -298, -4*q + 0*q + 3*m + 584 = u. Is q prime?
False
Is (57 - (0 - 4)) + -3 composite?
True
Let n(h) = 54*h - 5. Suppose 0 = 4*x - 1 - 15. Is n(x) a prime number?
True
Suppose -65 = 5*d + 30. Suppose -3*f - 3*o - 195 = 0, -o - 3*o + 4 = 0. Let v = d - f. Is v composite?
False
Suppose -a - 4*o - 70 - 102 = 0, 5*a + o + 784 = 0. Let u = 305 + a. Is u a prime number?
True
Let b(n) = n**2 - 5*n - 2. Let t be b(5). Is (-644)/8*(0 + t) composite?
True
Suppose 0 = 5*v - 3*j - 27, 0 = -v - j - 1 - 0. Suppose 3*q - 480 = 3*k + k, v*q = -2*k + 480. Suppose -q = -4*i + 220. Is i a prime number?
False
Let q be 118*(4 - 0)/8. Suppose 270 = k + q. Is k a prime number?
True
Suppose 5*s = -11 - 4. Let p = s - -7. Suppose 11 = -p*f + 195. Is f composite?
True
Let n(f) = -26*f**2 + f + 2. Let s(u) = -130*u**2 + 6*u + 11. Let r(m) = -11*n(m) + 2*s(m). Suppose -5 = -2*t + 7*t. Is r(t) prime?
False
Let o = -268 + 477. Is o a prime number?
False
Let h(v) = 43*v**2 + 4*v + 2. Let q be h(-3). Suppose 284 = -4*c + 2*x - 0*x, -5*c = 3*x + q. Let m = c - -116. Is m prime?
True
Let u = -335 + 522. Is u a composite number?
True
Let k be 3/2*(-32)/(-12). Let b = -7 + 13. Is (k - -3)*(b + -1) a prime number?
False
Suppose -4*x + 5*g = -25, x - 2*g = 5 + 5. Suppose x = 3*q - 41 + 8. Is q composite?
False
Suppose 0 = 3*n + 4*h + 6, -3*n - 2*n - 2 = 4*h. Let j(g) = 3*g**3 - 2*g**2 + g + 1. Is j(n) a prime number?
True
Let n(s) = -s + 2. Let u be n(0). Suppose -u*y - 1083 = -5*l - 440, 0 = 5*l + 5*y - 615. Is l a composite number?
False
Let d(v) = -v**3 + 12*v**2 - 19*v + 2. Let s be d(13). Is (-1)/(3*2/s) composite?
True
Suppose -z + 86 = -897. Is z a prime number?
True
Suppose 5*c + 4*l = 8*l - 6, -1 = -c + 3*l. Is 35 + (-4 - -2 - c) a prime number?
False
Let h = 230 + -387. Let x = h - -342. Is x a composite number?
True
Suppose 2*y - 38 = 5*m, -y + 3*m + 16 = -m. Let j = -34 + y. Is j/(-4)*(-72)/(-30) a composite number?
True
Suppose -22*v + 27*v = 2605. Is v a composite number?
False
Suppose -1 = 4*b - 21. Suppose b*f + 74 = v, f = 4*f + 3. Is v prime?
False
Suppose -7 - 1 = -5*a + 3*f, a + 3*f + 2 = 0. Is ((-58)/4)/(a/(-10)) a prime number?
False
Let m(w) = 11*w**2 + 5*w + 1. Is m(-4) composite?
False
Let p(m) be the third derivative of -1/8*m**4 + 0 + 0*m + 1/60*m**5 + 2/3*m**3 + m**2. Is p(6) composite?
True
Let a(c) = c**3 + 5*c**2 + 2. Let t be a(-5). Suppose 267 = t*n + n. Is n a composite number?
False
Let s(u) = 2*u - 6. Let g be s(4). Suppose 4*w + 0*d - 148 = d, g*d = w - 37. Is w composite?
False
Let o(g) = -g + 10. Let j be o(7). Suppose 0 = -j*p + 2*x - 4, 4*p + 4*x = 4 + 4. Suppose p = -5*k - 3*z + 398, 4*k + 4*z = 3*k + 83. Is k composite?
False
Suppose 11*q - 15*q + 92 = 0. Is q composite?
False
Let h(s) = 2*s**2. Let o be h(-1). Suppose -o*g - g + 15 = 0, 5*b - 2*g = 190. Let t = 66 - b. Is t a composite number?
True
Let k = -6 - -8. Suppose -39 = -k*w - 5*b + 163, -4 = -b. Is w composite?
True
Let a(v) = -445*v**3 + 2*v**2 - 2*v + 1. Let g be a(1). Let r = -118 - g. Suppose 0*k - 2*k = -r. Is k prime?
True
Suppose -2*d + x + 1758 = 0, -d + 3*x = 4*x - 873. Is d prime?
True
Let q = 429 - 260. Is q composite?
True
Suppose 2*j = -0*j + 120. Let h = -7 + j. Is h prime?
True
Let p = -8 - -8. Let n(f) = f**2 + 275. Let l be n(p). Let v = l + -196. Is v a composite number?
False
Suppose -2 - 1 = a + 2*q, 0 = q + 5. Let p(l) = 3*l - 5. Let z be p(a). Let t = -1 + z. Is t composite?
True
Is (-18)/12*-46*1 a prime number?
False
Suppose -3*t + 2*q - 5*q + 1455 = 0, 0 = -4*q. Is t a composite number?
True
Let a(f) = f**3 - 5*f**2 - f - 4. Let w be (10/(-4))/(3/(-6)). Let n be a(w). Is 6/27 - 313/n a prime number?
False
Let u(g) = -g**3 - g**2 + 5*g + 3. Let m be (0 - -4)/(2/(-3)). Let f(v) = -v**3 - 6*v**2 - 4. Let z be f(m). Is u(z) prime?
True
Is ((-716)/6)/(((-56)/12)/7) a composite number?
False
Suppose 4*g - g = 1413. Is g a composite number?
True
Is (35 + -37)/((2/835)/(-1)) prime?
False
Suppose 2*o + f - 2 = -4, -5*o + 1 = f. Let k(b) = b - 1. Let n(p) = 14. Let z(v) = o*k(v) + n(v). Is z(0) prime?
True
Let v be (1 - (-2 + 2)) + 1. Suppose v*a = 0, 2*a - 63 = 4*h - 391. Is h composite?
True
Suppose 19831 = -5*n + 12*n. Is n a composite number?
False
Let l = -12 - -17. Suppose 237 = l*h - 188. Let r = h - -4. Is r prime?
True
Let d(o) = -o**3 - 3*o**2 + 3*o + 1. Let r be d(-3). Let c(j) = j**3 + 10*j**2 + 10*j - 9. Is c(r) prime?
False
Let p(u) = 5*u. Let a be p(8). Is ((-17)/(-4))/(5/a) a prime number?
False
Let i(s) = 2*s + 7*s - s**3 - 5*s**2 - 2*s + 9. Let l be i(-6). Suppose -w = 3*o - 10, -l*w + 31 = -2*w - 4*o. Is w a composite number?
False
Let w(b) = b**2 + b. Let o be w(0). Suppose o = 6*u - 2*u + 4. Is 1 + 12 - (1 + u) a prime number?
True
Let c(x) = -x**2 + 7*x - 6. Let j be c(5). Is -1 + -2 + j + 64 composite?
True
Let w be (-4 + 4)/(3 - 1). Let u be (-2)/6 + 13/3. Suppose 0 = 2*y + 2*o - 6*o - 8, w = u*y - 2*o - 22. Is y a prime number?
False
Let p(v) = v**3 + 12*v**2 - 21*v - 1. Let w be p(-13). Let u = 5 + -3. Suppose -u*j + w = -67. Is j composite?
True
Suppose -5*b = -2*b + 3*m - 6, -7 = -b + 4*m. Suppose 8*z - b*z = 4*f - 455, -5*f - 2*z + 577 = 0. Is f a prime number?
False
Suppose -14 = -5*s - 3*j, -2 - 12 = -4*s - j. Let l(t) = 4*t**2 - 2*t + 0 - 3 + s. Is l(2) prime?
True
Suppose 2*a + 4*t - 34 + 10 = 0, a - 4*t + 6 = 0. Let h be ((-14)/a)/((-2)/12). Suppose v = -v + h. Is v a prime number?
True
Let r be (177/6)/((-1)/26). Let p = 1402 + r. Is p prime?
False
Suppose -119 = 2*r + 39. Is 1 + -4 - -1 - r composite?
True
Let p = -3 + 5. Let k(u) = 2*u**2 + 2*u. Let b be k(-2). Suppose -b*f - p = -46. Is f a prime number?
True
Let k(u) = -4*u + 1. Let d be k(-1). Suppose 145 = n - 18. Suppose 0 = -4*m - d*q + n + 47, 0 = 3*m - q - 167. Is m prime?
False
Let l(k) = -19*k + 5. Let v(c) = -10*c + 3. Suppose -3*h - 2*a + 17 = 0, h = -a - 3*a + 19. Let g(b) = h*l(b) - 5*v(b). Is g(-3) a composite number?
True
Suppose 0 = -4*x + 16, 4*v - 5*x = -0*x + 16. Is v prime?
False
Let q be ((-1)/(-3)*0)/1. Suppose t + t - 398 = q. Is t a prime number?
True
Let g be ((-8)/(-10))/(1/5). Let r(h) = 7 + 5*h**3 + 4*h - g*h**3 - 8*h - 3*h**2. Is r(6) prime?
False
Let i = 38 - -59. Let k = i + -26. Is k a composite number?
False
Let i(p) = 284*p**3 + p. Let v be i(1). Let m = v - 57. Let s = m - 161. Is s a composite number?
False
Let w be 2*(0 + (2 - 1)). Suppose -4*g + 4*r - 12 = 2*r, 0 = 3*g - w*r + 8. Let a = g + 8. Is a composite?
True
Let x(i) = -i**3 + i**2 + 0*i**3 + 2*i**2 + 1 + 4*i. Suppose 0 = -j - 3*l + 4 + 5, -2*l = -5*j + 11. Is x(j) a prime number?
True
Let v(x) be the third derivative of -5*x**4/12 - 7*x**3/6 + 2*x**2. Is v(-6) prime?
True
Let b(g) = 2*g - 2. Let h be b(3). Suppose 25 = v + h*v. Suppose -203 + 18 = -v*m. Is m composite?
False
Let h be 48/21 + 8/(-28). Suppose -s + 9 = h*u, -u + 2*s + 6 = s. Let k(o) = o**2 - 4*o - 2. Is k(u) a prime number?
True
Let v(h) = 3*h**3 - 6*h - 4*h**2 + 5*h + h**2 - 3. Let o be v(3). Is (-1 - -1) + (o - 2) composite?
True
Suppose -l + 10 = -79. Is l a composite number?
False
Let x(k) = k**2 + k + 3. Let g be (1/2)/((-2)/12). Let s be -3 - (-6)/g - 1. Is x(s) prime?
False
Suppose -7252 = -3*i + 2861. Is i a prime number?
True
Let g(m) = -5*m - 6. Let p be (-340)/(-35) - 2/(-7). Let f = 1 - p. Is g(f) a composite number?
True
Let b(d) = d**3 - 4*d**2 - 5*d + 3. Let i be b(5). Let w(l) = 25*l - 4. Is w(i) a prime number?
True
Suppose -3 = -r, 3*j - 3*r + 1 + 8 = 0. Is 56 + j + (16 - 19) a composite number?
False
Let x be 1 - (0 + -2 - -342). Is (-3 - -6 - 4)*x a prime number?
False
Let z(j) be the second derivative of 7*j**3/2 + 2*j. Is z(1) prime?
False
Let s = -38 - -201. Is s composite?
False
Let l be 2/(-10) - 1473/(-15). Let z = l + -65. Suppose d + 0*d - z = 0. Is d composite?
True
Let m(u) = u**3 + 8*u**2 - 10*u + 2. Is m(-8) prime?
False
Let w(g) be the first derivative of 3 + 2*g + 1/2*g**2. Is w(5) composite?
False
Let x = -299 + 151. Is 3 - (-5)/((-10)/x) a prime number?
False
Suppose -4*y = -3*j + 5, 10
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{
"pile_set_name": "DM Mathematics"
}
|
lculate the remainder when 445496 is divided by 150.
146
Calculate the remainder when 3194456 is divided by 6683.
6665
Calculate the remainder when 1304667 is divided by 652317.
33
Calculate the remainder when 23647700 is divided by 24.
20
Calculate the remainder when 1332930 is divided by 190406.
88
What is the remainder when 104842993 is divided by 6485?
6483
Calculate the remainder when 39809 is divided by 16971.
5867
Calculate the remainder when 963913 is divided by 3455.
3423
Calculate the remainder when 6183 is divided by 3048.
87
What is the remainder when 178377359 is divided by 120?
119
What is the remainder when 25432024 is divided by 12?
4
What is the remainder when 113797 is divided by 188?
57
What is the remainder when 3763002 is divided by 55338?
18
Calculate the remainder when 14683912 is divided by 67.
58
What is the remainder when 59413749 is divided by 6?
3
Calculate the remainder when 9636156 is divided by 4071.
99
Calculate the remainder when 2573306 is divided by 61266.
134
Calculate the remainder when 671744 is divided by 61063.
51
What is the remainder when 4364184 is divided by 22041?
66
What is the remainder when 146536 is divided by 223?
25
What is the remainder when 84105 is divided by 42048?
9
What is the remainder when 2324685 is divided by 62?
57
What is the remainder when 35568394 is divided by 27?
25
What is the remainder when 230358 is divided by 603?
12
What is the remainder when 2171162 is divided by 28?
14
What is the remainder when 787384535 is divided by 424?
423
What is the remainder when 1077657766 is divided by 10?
6
What is the remainder when 435600 is divided by 12811?
26
What is the remainder when 451725 is divided by 12?
9
What is the remainder when 213221 is divided by 627?
41
What is the remainder when 1370771 is divided by 288?
179
Calculate the remainder when 204278 is divided by 959.
11
What is the remainder when 99059 is divided by 129?
116
What is the remainder when 2745833 is divided by 2745814?
19
What is the remainder when 352888 is divided by 397?
352
What is the remainder when 4461026 is divided by 26?
24
What is the remainder when 255427 is divided by 20?
7
Calculate the remainder when 8636 is divided by 733.
573
Calculate the remainder when 4229639 is divided by 4229631.
8
Calculate the remainder when 20987333 is divided by 115.
63
What is the remainder when 937253 is divided by 37490?
3
What is the remainder when 18919516 is divided by 563?
464
Calculate the remainder when 278146 is divided by 5800.
5546
What is the remainder when 862274 is divided by 317?
34
What is the remainder when 3186643 is divided by 651?
649
Calculate the remainder when 4879118 is divided by 859.
857
Calculate the remainder when 258111 is divided by 120.
111
Calculate the remainder when 1233374 is divided by 504.
86
Calculate the remainder when 90376 is divided by 2311.
247
Calculate the remainder when 17411650 is divided by 870582.
10
What is the remainder when 1533640 is divided by 572?
108
What is the remainder when 5751745 is divided by 187?
186
Calculate the remainder when 750277 is divided by 237.
172
What is the remainder when 137033405 is divided by 1136?
1133
What is the remainder when 4194211 is divided by 4194190?
21
Calculate the remainder when 502943 is divided by 45722.
1
Calculate the remainder when 389976 is divided by 129933.
177
Calculate the remainder when 32100895 is divided by 8025223.
3
Calculate the remainder when 151502 is divided by 6459.
2945
Calculate the remainder when 793056 is divided by 234.
30
What is the remainder when 1169936 is divided by 828?
800
What is the remainder when 3023832 is divided by 1605?
12
Calculate the remainder when 623829 is divided by 987.
45
What is the remainder when 3111435 is divided by 3597?
30
What is the remainder when 438967 is divided by 1297?
581
Calculate the remainder when 26597 is divided by 18673.
7924
What is the remainder when 30301370 is divided by 30?
20
Calculate the remainder when 1418932099 is divided by 4715.
4714
Calculate the remainder when 181127 is divided by 9527.
114
Calculate the remainder when 17324725 is divided by 161.
159
What is the remainder when 6302652 is divided by 2100741?
429
Calculate the remainder when 11087953 is divided by 341.
338
What is the remainder when 542613 is divided by 304?
277
What is the remainder when 19272 is divided by 1281?
57
Calculate the remainder when 279347 is divided by 877.
461
Calculate the remainder when 7220 is divided by 1922.
1454
Calculate the remainder when 984214 is divided by 464.
70
Calculate the remainder when 2722826 is divided by 1361397.
32
Calculate the remainder when 147289 is divided by 847.
758
What is the remainder when 3234879 is divided by 16?
15
What is the remainder when 283852 is divided by 7?
2
What is the remainder when 31464833 is divided by 363?
356
What is the remainder when 273628 is divided by 1152?
604
What is the remainder when 9078095 is divided by 115?
110
Calculate the remainder when 42109 is divided by 1331.
848
What is the remainder when 1265134 is divided by 512?
494
Calculate the remainder when 45344830 is divided by 3389.
10
Calculate the remainder when 119195 is divided by 3875.
2945
What is the remainder when 252526 is divided by 9077?
7447
What is the remainder when 11309709 is divided by 3769535?
1104
What is the remainder when 602060 is divided by 7?
4
What is the remainder when 37425 is divided by 2693?
2416
Calculate the remainder when 1252869 is divided by 2355.
9
Calculate the remainder when 4307541 is divided by 113356.
13
What is the remainder when 3717927 is divided by 29?
11
What is the remainder when 2432475 is divided by 54?
45
What is the remainder when 10771930 is divided by 533?
0
Calculate the remainder when 123190593 is divided by 363.
9
Calculate the remainder when 313449 is divided by 504.
465
Calculate the remainder when 11490044 is divided by 5745015.
14
Calculate the remainder when 204960040 is divided by 6108.
6100
What is the remainder when 4893 is divided by 1225?
1218
What is the remainder when 1255687 is divided by 89680?
167
Calculate the remainder when 1578443 is divided by 19249.
25
What is the remainder when 370851 is divided by 92711?
7
What is the remainder when 11781500 is divided by 284?
44
Calculate the remainder when 260948 is divided by 10.
8
Calculate the remainder when 582867 is divided by 160.
147
What is the remainder when 3450669 is divided by 12065?
79
What is the remainder when 1013556 is divided by 328?
36
Calculate the remainder when 27750244 is divided by 15.
4
Calculate the remainder when 5287294 is divided by 56.
54
Calculate the remainder when 180303 is divided by 243.
240
Calculate the remainder when 39429008 is divided by 76265.
3
What is the remainder when 40608474 is divided by 20304232?
10
Calculate the remainder when 2718141 is divided by 363.
360
Calculate the remainder when 2701046 is divided by 866.
858
Calculate the remainder when 27076268 is divided by 30.
8
What is the remainder when 5692102 is divided by 15989?
18
Calculate the remainder when 9582223 is divided by 13.
1
Calculate the remainder when 3318510 is divided by 25.
10
Calculate the remainder when 11906831 is divided by 402.
395
Calculate the remainder when 11757 is divided by 11327.
430
What is the remainder when 21294837 is divided by 19?
17
What is the remainder when 112664 is divided by 562?
264
Calculate the remainder when 8927846 is divided by 8927826.
20
Calculate the remainder when 37996 is divided by 273.
49
Calculate the remainder when 279277 is divided by 46504.
253
Calculate the remainder when 48215505 is divided by 118.
115
What is the remainder when 611058 is divided by 152596?
674
What is the remainder when 9630148 is divided by 875464?
44
What is the remainder when 23141354 is divided by 33393?
5
What is the remainder when 436568 is divided by 16791?
2
Calculate the remainder when 981356 is divided by 2820.
2816
What is the remainder when 1409031 is divided by 407?
404
What is the remainder when 207164 is divided by 644?
440
What is the remainder when 9885119 is divided by 22?
13
What is the remainder when 5280471 is divided by 161?
154
What is the remainder when 155631933 is divided by 872?
861
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 10*c + 19. Calculate the remainder when x(8) is divided by 23.
21
Suppose 3 = o - 0*o. Suppose -25 = -o*l + 20. What is the remainder when 58 is divided by l?
13
Let b(c) = c - 2 + 3*c - 2*c + 8*c**2. Calculate the remainder when b(3) is divided by 26.
24
Suppose 31 = 3*r + 10. Suppose s - 3*c - 10 = 0, -3*c = -s + 3*s - 20. What is the remainder when 1 + 0 + 1 + s is divided by r?
5
Let c = 57 + -25. Suppose -q - 24 - c = -h, -q + 3*h = 62. Let v = -19 - q. Calculate the remainder when v is divided by 12.
10
Suppose 2*c + c - 9 = 0. What is the remainder when (-37)/(-7) + (-4)/14 is divided by c?
2
Let w(x) = x**3 + 15*x**2 + 14*x + 14. Calculate the remainder when w(-14) is divided by 5.
4
Suppose 0 = 4*x + 5*w - 275, -w - 183 = -3*x + 3*w. Let f = x + -43. Calculate the remainder when f is divided by 8.
6
Let j = -168 - -310. What is the remainder when j is divided by 36?
34
Let c = -100 - -146. Calculate the remainder when 135 is divided by c.
43
Suppose -2*f + 0*f = -5*w - 107, -4*w = -f + 46. What is the remainder when f is divided by 36?
30
Suppose -5*p = 2*d - 16, d - 1 = -5*p + 12. Suppose -2*a - 33 - 63 = 5*u, -u = -d*a + 9. Let z = -10 - u. What is the remainder when 14 is divided by z?
6
Let a(d) = 17*d - 35. Calculate the remainder when a(4) is divided by 11.
0
Suppose -2*b = 3*n - 28, -14 = -4*n - 3*b + 25. Let t = n - 3. Suppose p - 5*q + 16 = 0, t*p = 4*p - q. Calculate the remainder when 7 is divided by p.
3
Let k(a) = a + 2. Let x be k(2). Suppose -s - 3 = x*i, -s + 2*i = -3*i - 6. What is the remainder when 2 is divided by (-2)/2*-1 + s?
0
Let h = -15 + 31. Let k = h + -11. What is the remainder when 8 is divided by k?
3
What is the remainder when (1/(-1))/3*(-102)/17 is divided by (-1 + 0)*(-3 + 2)?
0
Let u(x) = 3*x**3 - x**2 - 7*x + 7. What is the remainder when 34 is divided by u(2)?
8
Let s = 15 + 1. Calculate the remainder when 29 is divided by s.
13
Suppose -6*j - 224 = -10*j - 4*b, -2*b - 6 = 0. What is the remainder when j is divided by 20?
19
Suppose 0 = 2*p - p - 13. Suppose 0 = -2*g + 4*q + 68, 5*q + 7 = g - 24. What is the remainder when g is divided by p?
10
Let d(x) = x**3 + 5*x**2 - 2*x**2 - 4 + 7*x**2 + 8*x + 5. What is the remainder when d(-9) is divided by 6?
4
Suppose c - 5*b - 85 = -4*c, c = -b + 23. Calculate the remainder when 33 is divided by c.
13
Let q(p) = -10*p**3 + 2*p + 1. Suppose 80 = -2*x + 7*x. Calculate the remainder when x is divided by q(-1).
7
Suppose -4*u - a = 3*a - 28, -u = -3*a + 9. Suppose u = 3*n - 0. What is the remainder when 33 is divided by n/(-3)*102/(-2)?
16
Let g(r) = r - 6. Let s be g(6). Suppose s = -v + 8 - 4. Suppose 3*u - 3*h = -2*u + 98, 0 = -2*u + v*h + 42. Calculate the remainder when u is divided by 7.
5
Let f = -90 + 292. What is the remainder when f is divided by 41?
38
Let w(t) = -t**2 + 2*t + 44. Calculate the remainder when 30 is divided by w(7).
3
Let m(l) be the first derivative of -l**3/3 - 11*l**2/2 + l + 6. Calculate the remainder when 1 is divided by m(-11).
0
Suppose -3*c + 3*l = -204, -c + 0*l + 68 = -5*l. Suppose 4*d - 4*s = c, 4*d + 4*s - 28 = -0*s. Calculate the remainder when 23 is divided by d.
11
Suppose 0*s = -2*c - 3*s + 13, 0 = s + 1. What is the remainder when 37 is divided by c?
5
Let d be (0 - -6) + (-2 - 0). Suppose -53 = -5*l - d*t, l - 5*t + 2 = 30. Suppose w - 11 = 27. Calculate the remainder when w is divided by l.
12
Let v = -29 + 19. What is the remainder when 21 is divided by ((-32)/v)/((-6)/(-15))?
5
Let x = -47 - -71. Suppose -h + 8 + 5 = 0. What is the remainder when x is divided by h?
11
Let c(m) = 2*m**2 - m + 1. Let g be c(2). Let v = 10 - g. Let k = v - -1. What is the remainder when k is divided by 2?
0
Suppose -v = -6 + 1. Suppose -v*l + 163 + 207 = 0. What is the remainder when l is divided by 19?
17
Suppose -k = 3*k - 16. Calculate the remainder when (-80)/(-6) + k/(-12) is divided by 7.
6
Suppose 2*b = 2*m - 18, 5*m - 2*b - 60 = -0*b. What is the remainder when m is divided by 5?
4
What is the remainder when 144 is divided by ((-49)/(-7))/((2/3)/2)?
18
Suppose 2*r = 2 + 40. Let j = 57 + -18. Calculate the remainder when j is divided by r.
18
Suppose -5*w + 5 = -0*w. Let l(y) = -4*y + 1. Let p be l(w). Let s(g) = g**2 - 2. What is the remainder when s(p) is divided by 3?
1
Let f = 54 - -4. Calculate the remainder when f is divided by 20.
18
Let w(b) = -2*b**3 + 2*b**2 + 5*b + 3. What is the remainder when w(-2) is divided by 5/(-2)*(-4 - -2)?
2
Let h = 22 + -1. Suppose 4*d - i = 179, d = 4*i + i + h. Calculate the remainder when d is divided by 24.
22
Let w(b) = b**2 + 52. Let s be w(0). Let o = s - -113. Suppose 4*v - 5*y - o = 0, 0 = 3*v - v + 3*y - 55. What is the remainder when v is divided by 18?
17
Suppose 2*t = 6*t - 52. What is the remainder when 24 is divided by t?
11
Let c(r) = r**2 + r - 1. Let t(z) = z**2. Let j(k) = -c(k) + 6*t(k). Calculate the remainder when 8 is divided by j(1).
3
Suppose -z - 111 - 21 = 0. Calculate the remainder when 32 is divided by (z/24)/((-2)/4).
10
Suppose -4 - 16 = -h. What is the remainder when h is divided by 2?
0
Suppose -2*d + 8 + 0 = 0. Suppose -4*g + 2 = q, -d*g = -2*g - q + 2. What is the remainder when (-6)/(-3) + 43 + g is divided by 16?
13
Let d = -66 + 108. Calculate the remainder when 81 is divided by d.
39
Suppose -2*b = -0*b + 82. Let o = b + 70. Suppose -3*t + t + 8 = i, 4*i = 2*t + 42. What is the remainder when o is divided by i?
9
Let v be -1*(2 + (-18)/3). Suppose 0 = -3*p - 2*f + v*f + 113, -3*p + 3*f + 117 = 0. Calculate the remainder when p is divided by 18.
17
Let j(q) = 29*q**2 - 1. Let n be j(-1). Suppose 0 = -2*y + 18 + n. What is the remainder when y is divided by 8?
7
Suppose r + 30 = 4*g - 18, -5*g + 63 = -2*r. Let h(c) = -c + 7. Let t be h(6). What is the remainder when (-93)/(-1)*t/3 is divided by g?
9
Let x be (-4 + 6)/((-6)/(-69)). Suppose -3*c + 5*t + x = 2, -5*c + 5*t + 35 = 0. Calculate the remainder when 11 is divided by c.
4
Suppose 0*t = -4*t - 4*w + 36, -5*w + 19 = 3*t. Suppose -5*a = -5*s, 3*s + 2*a - 7 - t = 0. What is the remainder when 6 is divided by s?
2
Let m(l) = -l**2 - 20*l + 8. Let o = 18 + -36. What is the remainder when m(o) is divided by 9?
8
Suppose 2*u = 57 - 47. Calculate the remainder when 8 is divided by u.
3
Suppose 0*p - p = -4. What is the remainder when 6 is divided by p?
2
Let w be 7 + 4/8*-6. Suppose -d + w = -15. What is the remainder when 37 is divided by d?
18
Calculate the remainder when 6 is divided by (80/(-30))/(2/(-3)).
2
Suppose -4*i - i = -15. Let a be (-28)/(-6) + (-2)/3. Suppose 3*p - 17 = -i*q + 79, -4*q + a*p + 104 = 0. What is the remainder when q is divided by 10?
9
Calculate the remainder when 18 is divided by ((-12)/10)/(-6) + 54/5.
7
Let o = 78 - 69. Calculate the remainder when o is divided by 2.
1
Let u = 153 - 103. What is the remainder when 97 is divided by u?
47
Suppose 0 = -23*r + 24*r - 15. What is the remainder when 86 is divided by r?
11
Let x(o) = -o**2 + 9*o + 4. Let w(m) = m**2 + 1. Let s(n) = -2*w(n) - x(n). Calculate the remainder when 45 is divided by s(-3).
9
Let p = -21 + 20. Calculate the remainder when 0 + 1 + -2 + 10 is divided by p + 2 - (-30)/10.
1
Let r = -7 - -18. Let z = 70 + -50. What is the remainder when z is divided by r?
9
Let i(b) = b**2 + 3*b**2 - 14*b**3 - 5*b**2. Suppose 0 = -f - 3*f + 16. Calculate the remainder when i(-1) is divided by f.
1
Let a = -111 - -159. What is the remainder when a is divided by 17?
14
Suppose -19 = -g - 0*g. Let i = 24 - 17. Suppose i = 3*o - 14. Calculate the remainder when g is divided by o.
5
Let o(g) = -5*g + 14. Let p(l) = 2*l. Let s be p(-1). What is the remainder when o(-3) is divided by (-16)/3*3/s?
5
Let r(j) = 2*j**2 + 22 + j - j**3 - 4*j**2 - 21. Let b(g) = g**3 - 2*g**2 - 3*g + 2. What is the remainder when r(-3) is divided by b(3)?
1
Let p(l) be the third derivative of -l**4/8 - l**3/6 + l**2. Calculate the remainder when 8 is divided by p(-2).
3
Suppose 2*m = 8, -m - 31 = -2*j - 5. Let f = 3 - 4. Let h = f + 7. What is the remainder when j is divided by h?
3
Suppose 2*a + 5*f = 57 + 51, -137 = -3*a + 5*f. Calculate the remainder when a is divided by 26.
23
What is the remainder when 34 - 0/(-3 + 2) is divided by 12?
|
{
"pile_set_name": "DM Mathematics"
}
|
3 + (12 - 12 - 3*p)*(0 + 0 - 2) to j + o*p and give j.
0
Express (-5*u**3 + 4*u**3 - 2*u**3)*(0 - 3 - 3) in the form q*u**2 + j*u + v*u**3 + p and give v.
18
Rearrange (-i + i + i)*(1 - 3 + 3)*(-3 + 4 - 2)*(3 - 6 + 1) to the form s*i + y and give s.
2
Rearrange 5536 - 5*a - 11*a - 5534 to the form j + c*a and give c.
-16
Express -1 + 4*t**2 - 2 + 5 + 3*t**3 + 2*t + 0 in the form o*t**2 + q + h*t**3 + p*t and give o.
4
Rearrange (111 - 11 + 55)*(-6*k**2 + 2*k**2 + 3*k**2) + k**2 - 3*k**2 + 0*k**2 to h*k + l*k**2 + c and give l.
-157
Rearrange (0*p**4 - p**4 + 0*p**4)*(0 + 0 - 2) - 2*p**4 + 10*p**4 + 0*p**4 to v*p**3 + k*p**4 + m*p**2 + s + a*p and give k.
10
Rearrange 4*f - 4*f - 6*f**3 + 4 + 7*f**3 to the form a + j*f**2 + n*f + v*f**3 and give a.
4
Rearrange -7*r + 5*r - 10*r + (r + 0*r + 2*r)*(0 - 3 - 1) to the form n + l*r and give l.
-24
Rearrange -994 + 994 - 28*b to the form y + k*b and give k.
-28
Express 57*n**3 + 6*n + 52*n**3 + 2 - 110*n**3 in the form j*n**2 + m + p*n**3 + b*n and give p.
-1
Express (40*g**3 + 757 - 757)*(2*g - 3*g + 3*g)*(3 - 1 - 1) in the form k*g**2 + o*g + u + m*g**3 + p*g**4 and give p.
80
Express (-1 - 5 + 4)*(109*g**2 - 136*g**2 + 94*g**2) - g**2 + 0*g**2 - g**2 as v*g + j*g**2 + c and give c.
0
Rearrange (-r + 2*r - 2*r)*(-2 - 2 + 5)*(77 + 36*r**2 - 77) to a + t*r + m*r**2 + p*r**3 and give p.
-36
Rearrange (-2*p + 2*p**2 + 2*p)*(p - 3*p + 0*p) + (3*p - 3*p + 3*p)*(-p + p - 3*p**2) + 0*p**3 - p**3 + 4*p**3 to r*p**2 + u + h*p + i*p**3 and give i.
-10
Rearrange (1 + 4 - 3)*(-13 + 4 - 10)*(-3 + 2*u + 3) to l + y*u and give y.
-76
Rearrange -6*v**2 + 19*v - 12*v + 14*v to the form o + c*v + g*v**2 and give g.
-6
Express (-3*i + i**2 + 3*i)*(-2 + 2 - 3*i) + 21*i**3 - 17*i**3 + 7*i**3 as s*i**2 + p + j*i**3 + k*i and give j.
8
Rearrange (5*i**2 + 2*i**2 - 3*i**2)*(i + 0 + 0) - 5*i**3 + i**3 - 3*i**3 to the form t*i + f*i**3 + c + u*i**2 and give t.
0
Express ((0 - 1 - 2)*(-2 + 2 + 1) + 8 + 0 - 2)*(-6*g**4 + 3*g**4 + g**4) as j*g**3 + k + d*g**2 + t*g**4 + b*g and give t.
-6
Express -y**2 + 120*y - 58*y - 63*y + 1 in the form m*y**2 + f + u*y and give m.
-1
Rearrange (-5 - 1 + 3)*(16*t + 22 - 22) + 2*t + 5*t - 4*t to w*t + p and give p.
0
Express (-2*y + 3*y - 3*y + 4*y - y - 4*y + (0 + 4 - 6)*(3*y + 3*y - 4*y) - y - 3 + 3 - y + 6*y - 2*y)*(-1 + 0 + 0) as n*y + r and give n.
5
Express 4*w**2 - 17*w**2 - 37*w**2 - 14*w**2 as z*w + j*w**2 + f and give j.
-64
Express 1 - 3*d + 3*d + 6*d**3 in the form s*d**2 + p + z*d**3 + o*d and give z.
6
Express 3*s**3 - 6*s + 6*s + (-s - 2*s**2 + s)*(-3*s + 2*s + 3*s) + 3*s**3 - 6*s**3 + 2*s**3 in the form q*s**3 + z*s**2 + l*s + g and give q.
-2
Rearrange 7*r**2 - 75*r**2 - 45 - 94*r**2 + 44 to b + p*r + t*r**2 and give t.
-162
Rearrange 0*x - x + 4*x + (2*x - 3*x + 8*x)*(-5 + 3 + 1) to the form s + f*x and give s.
0
Express -235 + 235 - 67*j**2 as v + y*j**2 + x*j and give y.
-67
Rearrange -11 + 11 - 19*s + (4 + 1 - 4)*(s + 0*s + s) to g + r*s and give r.
-17
Express (-3*r**3 + 2*r**3 + 0*r**3)*(2 + 1 - 5) + 3*r**3 - 13*r**2 + 13*r**2 - r - 2*r**2 + r + r**3 as s*r + y + g*r**3 + n*r**2 and give g.
6
Express 4*v + 1 - 1 + 442*v**2 - 432*v**2 as t*v**2 + r + p*v and give t.
10
Express -3*d**3 - 2*d**2 - 2 + 11*d**2 - 5*d**2 as v + q*d**3 + a*d + n*d**2 and give n.
4
Express -22 + 55 + 3*i**2 - 5*i**2 as v*i**2 + y*i + j and give v.
-2
Rearrange 3*q - 2*q - 2*q + (3*q - 4*q - q)*(0 + 1 + 2) - 4 + 2*q + 4 + 1 - 1 - 2*q to x*q + n and give x.
-7
Rearrange -2*z + 22 - 36 + 0*z + 25 to the form c + k*z and give k.
-2
Express (-3*r + 0*r - 2*r)*(0 + 0 - 1) - 8 + 4*r + 8 + (1 + 0 + 1)*(2*r - 2*r - r) in the form t*r + w and give t.
7
Express (2*w - 2*w + w)*(5*w - 5*w - w**2)*(-20 + 109 + 18) as x*w + k*w**3 + l + n*w**2 and give k.
-107
Express -71*m + 7*m - 29*m in the form p + h*m and give h.
-93
Rearrange (0 - 1 + 3)*(-1064*t + 175*t**3 + 1064*t) to g*t**2 + d + j*t + r*t**3 and give r.
350
Express -15*j**2 + 33 - 32*j**2 - 33 in the form i + r*j + x*j**2 and give i.
0
Rearrange 1 + 3*m**3 + 3*m**2 + 17*m - 14*m - m**2 to n + i*m + l*m**2 + j*m**3 and give n.
1
Express (2*b - 3*b + 3*b)*(4 + 0 - 1) + (-2 + 3 + 0)*(6*b + 0*b - 4*b) + 27*b + 23*b - 16*b as c + f*b and give f.
42
Rearrange 17*w + 6*w**4 + 14*w - 33*w + 1 - w**2 + w**3 - 2*w**3 to k*w**4 + z*w**2 + i + r*w**3 + v*w and give k.
6
Express -3*g**2 - 2 + 8*g**3 - 2 + 9*g**3 - 16*g**3 in the form t + i*g + k*g**2 + f*g**3 and give f.
1
Rearrange 0 - 2 - 4*y**2 - 1 + 17*y**2 to k*y**2 + o*y + s and give s.
-3
Express -2 + 2 - 3 - 6*w**4 + (4*w + 0*w - 2*w)*(-7 + 4*w**2 + 7)*(0*w + 2*w - w) in the form v*w**3 + m + s*w**4 + i*w + y*w**2 and give m.
-3
Express -36*b + 3 - 32*b + 73*b as l + n*b and give l.
3
Rearrange 3*c - 4*c + 10*c + 2*c to the form r + q*c and give q.
11
Rearrange (-5 - p + 5)*(3*p - 2*p - 3*p) - 3*p**2 + 9*p**2 + 2 - 2*p**2 to h*p**2 + t*p + g and give h.
6
Express -18*a**2 - 25*a + 25*a as k + y*a**2 + c*a and give y.
-18
Express 6*g**3 + 3 - g**3 - 6*g**3 in the form b + m*g + d*g**3 + w*g**2 and give b.
3
Express 3 + 0*d**4 - 2*d**4 - d**4 - 15*d**3 + 13*d**3 as y*d**2 + j*d + w*d**4 + i*d**3 + q and give i.
-2
Express 3*j + 0*j - j + 2*j - 3 + 3 + 2*j + 2*j - 3*j + (5*j - 4*j + j)*(2 - 2 + 1) + j + 1 - 1 - 11*j + 12*j - 1 - 11 in the form n*j + m and give n.
9
Rearrange 0*v - 5*v + v**3 + 2*v**2 - v - 2*v to z*v + q*v**3 + x*v**2 + d and give z.
-8
Rearrange 8*w - 2 + 2 to m + d*w and give d.
8
Rearrange -16*v**2 + 7*v**2 + 0 - 10*v**2 - 1 to a*v + z + q*v**2 and give z.
-1
Rearrange 7*g - 8*g - 2*g**4 - 3*g - 3 - 19*g to i*g**2 + y*g + b*g**3 + d + m*g**4 and give m.
-2
Rearrange -c + 5 + 5 - 1 + (-4*c + 2*c + 3*c)*(1 - 2 - 1) - 4 + 4 - 2*c to j*c + h and give j.
-5
Express (-2 + 2 + 3*b)*(-87 + 35*b + 87) in the form h + f*b**2 + z*b and give h.
0
Express -39*y + 3 + 14 - 17 in the form p*y + x and give p.
-39
Express (28*o + 13*o - 17*o)*(0 + 0 - o**2) as a*o + c*o**2 + u*o**3 + n and give u.
-24
Express 0 - i**3 - 49*i**3 + 2 as g*i**2 + a + s*i**3 + q*i and give g.
0
Express 2*f**3 + 8*f**4 - 5*f**4 + 2*f**4 + f**2 in the form g*f**3 + a*f**2 + s*f + r + n*f**4 and give g.
2
Express 4*h**3 - 1 + 5*h**3 - h**4 + h - h**3 - 3*h**3 as f*h**4 + i*h**2 + r*h**3 + a*h + v and give a.
1
Express (-3*a**4 - a**4 + 5*a**4 + (2 - 2 + a**3)*(1 - 1 - 2*a))*(25 - 59 + 20) in the form t*a**4 + v*a**2 + g*a**3 + f + r*a and give t.
14
Rearrange -10*m - 14*m + 4 - 4 to the form i*m + f and give i.
-24
Express -28 + 3*j - j - 18*j**2 + 28 in the form g*j**2 + u*j + b and give g.
-18
Express -17*p + 24*p - 25*p - 3*p + 3*p - 2*p + 0*p - 4*p + 3*p + p + p - 4*p + (5 - 3 - 1)*(-4*p + 6*p - p) + 0*p - p + 0*p as h + i*p and give i.
-23
Rearrange 10*l**3 - 12*l**3 + 8 + 2*l**2 + 2*l**4 - 4*l**4 to h*l**2 + x*l**3 + j*l + a + q*l**4 and give q.
-2
Express -12 + 8*i**2 - 5*i**2 - 4*i**2 as d*i + t*i**2 + k and give k.
-12
Rearrange (47 - 73 - 88)*(-2*c + 2*c - 2*c) to v*c + x and give v.
228
Rearrange -12*n + 28*n - 5*n to the form r*n + q and give r.
11
Express 6*n - 9*n - 28*n - 20*n in the form g + d*n and give d.
-51
Express -2*x**2 - 12*x**3 + 10*x**3 + 24*x**3 in the form d + s*x + f*x**3 + h*x**2 and give s.
0
Rearrange (g**2 + 5*g**2 + 0*g**2)*(-2 + 0 + 3)*(-2 - 2 + 0) to the form t*g**2 + d*g + f and give t.
-24
Express r + 11*r**3 + 19*r**3 + 2*r**3 in the form x + t*r**2 + i*r**3 + a*r and give i.
32
Express 6*o**2 - o - 5*o**2 + 0*o**2 in the form q*o + m*o**2 + y and give m.
1
Rearrange (-5*w + 4*w + 2*w)*(-9 - 6 + 4*w**2 + 5) to the form r*w**3 + h*w + d + z*w**2 and give r.
4
Express -6*m**2 - 4*m**3 + 0*m**3 + 3*m**3 as x + q*m**3 + v*m + c*m**2 and give v.
0
Rearrange 7 - 3*h**2 + h**3 - 3*h**3 + 4*h**2 + 2*h**4 + 5 to the form q*h**4 + w*h**2 + s + g*h + x*h**3 and give q.
2
Express -49*r - 45*r**4 - 48*r - 2*r**2 + 2 + 97*r + r**3 as i*r**2 + q*r**4 + w*r + x + p*r**3 and give x.
2
Express (4*a + 0*a - 2*a)*(0 - 4 + 3 + (2 + 0 - 1)*(1 - 2 - 1))*(24*a - 8*a + 13*a) as l*a**2 + k + d*a and give l.
-174
Rearrange (0 + 0 - 2*t)*(-3 + 3 - 1) + (-11*t - 68 + 68)*(-2 - 1 - 1) to the form g*t + o and give g.
46
Express -12*m - 2*m**3 + 4*m**3 + 2*m**4 + 1 + 22*m**2 + 12*m as d*m + n*m**3 + v + p*m**4 + z*
|
{
"pile_set_name": "DM Mathematics"
}
|
(-13))/(6/9). Suppose r = 42 - 18. Factor 10*y**f - 9 + r*y - 15*y**2 - 64*y - 6.
5*(y - 3)*(y + 1)*(2*y + 1)
Let d(p) be the third derivative of p**8/2184 - 41*p**7/1365 + p**6/10 + 820*p**2. Factor d(j).
2*j**3*(j - 39)*(j - 2)/13
Let n(p) be the second derivative of 3*p**6 + 49*p**5/20 - 13*p**4/4 + p**3/3 - 782*p. Factor n(w).
w*(w + 1)*(5*w - 2)*(18*w - 1)
Let k = -96 - -98. Let f = 8 + 2. Factor 13*y + 2*y**2 + k + f*y - 27*y.
2*(y - 1)**2
Let v(x) be the first derivative of 8*x**5/5 + 49*x**4/2 + 64*x**3 - 371*x**2 - 196*x + 675. Factor v(m).
2*(m - 2)*(m + 7)**2*(4*m + 1)
Let u(l) = -4*l**3 - 28*l**2 - 4*l - 24. Let f be u(-7). Factor 1/5*i**5 + 2/5*i**2 + 1/5 + 2/5*i**3 - 3/5*i**f - 3/5*i.
(i - 1)**4*(i + 1)/5
Let x(u) = u + 1. Let g(b) = 13*b - 1. Let j be g(0). Let k(h) = h - 4 - 2*h - 2*h**2 - 5*h. Let i(v) = j*k(v) - 8*x(v). Factor i(y).
2*(y - 2)*(y + 1)
Let u(k) be the third derivative of 3/10*k**6 - 1/15*k**7 + 0 + 0*k - 2*k**2 + 3/7*k**4 - 4/21*k**3 - 109/210*k**5. Suppose u(z) = 0. Calculate z.
2/7, 1
Suppose 52*q - 246 = 66. Let u(s) be the first derivative of 0*s + 0*s**4 - 1/24*s**q + 0*s**2 + 1/20*s**5 + 0*s**3 + 3. Factor u(g).
-g**4*(g - 1)/4
Let f(w) = 4*w**3 + 40*w**2 + 79*w. Let h(x) = -5*x**3 - 40*x**2 - 78*x. Let t(a) = -6*f(a) - 5*h(a). Solve t(o) = 0 for o.
-2, 0, 42
Let m(j) be the third derivative of j**7/105 - 7*j**6/30 - j**5/30 + 7*j**4/6 - 21*j**2 + 2. Factor m(n).
2*n*(n - 14)*(n - 1)*(n + 1)
Suppose 4*n**3 + 2*n**2 + 13 - 14*n**2 - 2 + 3 + 2 = 0. What is n?
-1, 2
Find v, given that 15 - 29/2*v - 1/2*v**2 = 0.
-30, 1
Let p be 4 - (14 + 147/(-14)). Determine u so that -88*u + 32 - 19/2*u**3 - 13/2*u**4 + 145/2*u**2 - p*u**5 = 0.
-8, 1
Suppose 15 = 3*g, 4*g - 53 = 3*s + 6*g. Let q be ((-18)/s)/((-1)/(-7)). Factor 9 + 5*p**2 - q - 3*p**3 - 2*p - 3.
-p*(p - 1)*(3*p - 2)
Let q be 26/10 - 3 - 27/(-5). Factor -18*g**3 - 3*g**q - 3*g - 9*g**4 + 3*g**2 + 9*g**2 + 15*g**4 + 6*g**4.
-3*g*(g - 1)**4
Suppose 0 = -2*h + 6*x - 4*x, 5*x = -4*h + 36. Let n = 9/62 - -13/124. Find w such that 0*w**2 - 1/2*w**h + 0 + n*w**5 + 1/4*w**3 + 0*w = 0.
0, 1
Let a(b) = -b**2 - 18*b + 43. Let w be a(-19). Find l such that -14 - 32*l + l**2 - w + l**2 + 166 = 0.
8
Let x = -14 + 19. Factor 15 - 9 - 10 + 14*m - 2*m - x*m**2.
-(m - 2)*(5*m - 2)
Determine i, given that 3 - 670*i - 2*i**3 - 3 + 694*i + 10*i**2 + 12*i**2 = 0.
-1, 0, 12
Let h be (-6)/(-21) - 57/(-21). Suppose -3*l + 1 = -2*l. Solve -w**h - 4*w + 3*w**2 - 2 + 2 + l + w = 0 for w.
1
Let j be (-2)/(-4)*-2 - -4. Let g(p) = 2*p**3 - p**3 + 10*p**2 + 8*p + 2*p**3 - p**j. Let a(o) = o**2 + o. Let u(c) = 6*a(c) - g(c). Factor u(q).
-2*q*(q + 1)**2
Let q(r) be the first derivative of 10/7*r**2 - 3 + 4/7*r + 16/21*r**3. Factor q(z).
4*(z + 1)*(4*z + 1)/7
Let f(i) = 5*i**2 + 46*i - 33. Let n(b) = -8*b**2 - 91*b + 69. Let j(t) = -5*f(t) - 3*n(t). Factor j(d).
-(d - 42)*(d - 1)
Let i(w) = -81*w - 2833. Let o be i(-35). Factor 0 + 0*l - 1/5*l**3 - 1/5*l**4 + 0*l**o.
-l**3*(l + 1)/5
Suppose -s - 2*i + 0*i + 3 = 0, 3*i + 8 = s. Find u, given that -6*u + 6*u**3 + 11*u**2 + s*u**2 + 18*u - 2*u**3 = 0.
-3, -1, 0
Let p be (-1 + (-9)/(-6))*(-6 + 12). Suppose 4*q + w - 1 = -2, 1 = -w. Factor 6*b + b**2 + q*b - 2 - 2*b - p*b**2.
-2*(b - 1)**2
Let x(w) = 20*w**2 + 8*w + 28. Let t(k) = -13*k**2 - 5*k - 19. Let o(d) = 7*t(d) + 5*x(d). Let y be o(-3). Factor -u - 24*u**2 - 15*u**3 - y*u**3 + 16*u**3 - u.
-2*u*(6*u + 1)**2
Factor 0*g**2 + 0 + 4/7*g**5 - 10/7*g**4 + 0*g + 4/7*g**3.
2*g**3*(g - 2)*(2*g - 1)/7
Factor 0 - 4/3*f**2 - 8/3*f**3 + 0*f - 4/3*f**4.
-4*f**2*(f + 1)**2/3
Let b be ((-3)/(-36))/(7/2184*26). Factor 1/4*d**2 - b - 1/4*d**3 + d.
-(d - 2)*(d - 1)*(d + 2)/4
Let f(s) be the first derivative of -4*s**5/25 - 5*s**4 - 664*s**3/15 - 192*s**2/5 + 1152*s/5 + 301. Find h, given that f(h) = 0.
-12, -2, 1
Factor 2*z**2 + 30*z**3 - z**5 + 5*z**4 - 15 + 8*z**2 - 25*z - 4*z**5.
-5*(z - 3)*(z - 1)*(z + 1)**3
Solve 32/5*i**2 - 128/5*i - 2/5*i**3 + 0 = 0 for i.
0, 8
Let h(g) be the first derivative of 2/45*g**5 + 332/27*g**3 + 88/3*g**2 + 242/9*g - 5 + 4/3*g**4. Factor h(b).
2*(b + 1)**2*(b + 11)**2/9
Let o(c) be the third derivative of -c**6/40 - 13*c**5/20 - 23*c**4/8 - 11*c**3/2 + 6*c**2 + 20. Factor o(j).
-3*(j + 1)**2*(j + 11)
Let i(x) be the first derivative of -51 - 20*x - 10*x**2 - 5/3*x**3. Factor i(u).
-5*(u + 2)**2
Suppose -1397*u**5 + 3*u**3 + u**3 + 1396*u**5 = 0. Calculate u.
-2, 0, 2
Let q = 4876/153 + -538/17. Factor 4/9 - q*p**2 + 2/9*p.
-2*(p - 2)*(p + 1)/9
Suppose 2*i = 8 - 0. Suppose -i*l + 3 = -l. Determine z so that 2*z - 4 + 3*z**4 - 6*z**3 + l + 0*z**3 + 4*z = 0.
-1, 1
Let r(o) be the first derivative of 13*o**3 + 9*o - 9/4*o**4 - 39/2*o**2 + 4. Factor r(v).
-3*(v - 3)*(v - 1)*(3*v - 1)
Let j = 6263/70 - 447/5. Let o(d) be the second derivative of 0*d**2 - 1/4*d**4 + 9/20*d**5 + 0 + 3*d + j*d**7 + 0*d**3 - 3/10*d**6. What is x in o(x) = 0?
0, 1
Suppose -28*g - 3 = 22*g - 153. Factor 8/3*n**2 + 4/3*n**g + 2/9*n**4 + 2/3 + 20/9*n.
2*(n + 1)**3*(n + 3)/9
Let f = 72 + -790/11. Let -8/11*n + 4/11 + f*n**3 - 1/11*n**2 = 0. What is n?
-2, 1/2, 2
Let m(g) be the second derivative of g**6/50 + 3*g**5/25 - 3*g**4/20 - 7*g**3/5 - 12*g**2/5 + 341*g. Factor m(n).
3*(n - 2)*(n + 1)**2*(n + 4)/5
Let u(j) = -155*j**3 + 45*j**2 + 950*j - 615. Let d(k) = 7*k**3 - 2*k**2 - 43*k + 28. Let f(w) = -45*d(w) - 2*u(w). Factor f(n).
-5*(n - 2)*(n - 1)*(n + 3)
Let o = -3648/37 - -244978/2553. Let w = -30/23 - o. Factor -w*t**2 - 2/3 + 2*t**4 - 2/3*t**5 - 4/3*t**3 + 2*t.
-2*(t - 1)**4*(t + 1)/3
Suppose -v = -2*k + 4, -2*v + 0*k = 3*k - 20. Let n(f) be the first derivative of -f + 6 - 3/4*f**2 + 1/8*f**v + 0*f**3. Determine c, given that n(c) = 0.
-1, 2
Suppose -4*j - 4 + 20 = 0. Suppose j*t = 12*t - 16. Factor 0 + 0*i**t + 2/7*i - 2/7*i**3.
-2*i*(i - 1)*(i + 1)/7
Let i(h) = 39*h**2 - 1715*h - 44. Let r be i(44). Factor 2/7*q**3 + r + 4/7*q**2 + 2/7*q.
2*q*(q + 1)**2/7
Let n be -4 - (-11 - 2/(-2)). Let l(h) = -18*h**3 - 72*h**2 - 80*h - 24. Let m(z) = 90*z**3 + 362*z**2 + 400*z + 120. Let f(g) = n*m(g) + 28*l(g). Factor f(p).
4*(p + 3)*(3*p + 2)**2
Let d(i) be the first derivative of i**7/420 - i**6/240 - i**5/120 + i**4/48 - 7*i**2/2 - 7. Let s(t) be the second derivative of d(t). Factor s(q).
q*(q - 1)**2*(q + 1)/2
Suppose -4*z = -3*h - 30, -3*h - 18 = -6*z + 4*z. Suppose 3*i + 4*j = -6, -5*j - 19 = i - z. Solve -3 + 3*d**i + 9/2*d = 0.
-2, 1/2
Suppose 3*a = t - 2 + 7, 0 = 4*a + 4*t - 12. Suppose 3*w - a*y + 8 = 0, w + 12 = -0*w + 3*y. Find z, given that w - z**2 + 1/3*z**3 + 2/3*z = 0.
0, 1, 2
Let x(r) be the third derivative of -9*r**3 + 2*r**2 + 0*r - 3/40*r**6 + 0 + 4/5*r**5 - 15/8*r**4. Solve x(d) = 0 for d.
-2/3, 3
Factor 5/3*g**2 + 10 - 35/3*g.
5*(g - 6)*(g - 1)/3
Let m(f) be the second derivative of -1/5*f**6 - 1/42*f**7 + 0*f**3 + 1/2*f**4 + 0 - 39*f + 0*f**2 + 1/20*f**5. Factor m(b).
-b**2*(b - 1)*(b + 1)*(b + 6)
Let a be 18/(-4 + 7) + -4. Suppose 5*i = 5, -5*s + a*i = i - 309. Factor 2*x + 41 + s*x**2 - 20*x**3 - 53 - 4*x.
-2*(x - 3)*(2*x - 1)*(5*x + 2)
Suppose -1/3*o + 2/3*o**3 - 2/3 - 2/3*o**4 + 4/3*o**2 - 1/3*o**5 = 0. Calculate o.
-2, -1, 1
Suppose 4*q + 268 = 3*x, -9 + 1 = -4*q. Factor -x*t**2 - 4 + 5*t**3 - t**3 + 80*t**2 + 12*t.
4*(t - 1)**3
Let v be (-3 - -8) + 0 - 1. Factor 548*p**2 + 31*p**4 + 74*p**v + 24 - 212*p - 352*p**3 - 41*p**4.
4*(p - 3)*(p - 2)*(4*p - 1)**2
Let k(b) be the second derivative of 21*b**6/50 - 591*b**5/100 + 52*b**4/5 + 94*b**3/5 + 48*b**2/5 - 337*b. Find o such that k(o) = 0.
-1/3, -2/7, 2, 8
Let i(k) be the third derivative of k**6/960 + 13*k**5/480 + k**4/16 + 2*k**2 + 9. Factor i(w).
w*(w + 1)*(w + 12)/8
Let y(b) be the second derivative of b**4/21 - 2*b**3/3 + 20*b**2/7 + 121*b. Let y(u) = 0. What is u?
2, 5
Let t(f) = f - 47. Let z be t(51). Let x(k) be the third derivative of -z*k**2 + 4*k**3 + 7/4*k**4 + 0 + 3/20*k**5 + 0*k. Determine w, given that x(w) = 0.
-4, -2/3
Let h = -345/11 - -1413/44. Let j(l) be the first derivative of -13 + 0*l - l**3 + 3*l**2 - h*l**4. Suppose j(a) = 0. Calculate a.
-2, 0, 1
Let a(b) be the first derivative of b**9/13608 + b**8/7560 - b**7/1890 + b**3/3 - 11. Let m(w) be the third derivative of a(w). Determine o so that m(
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2*v**3 - 16 - 5*v**2 + 48*v**4 + 7*v**2 as p + h*v**4 + f*v + m*v**3 + o*v**2 and give f.
0
Express -c**2 - 4*c + 4 - 7*c + 14*c - 2*c**3 + 0 in the form q*c**3 + a*c + r*c**2 + j and give q.
-2
Rearrange -5*f**4 + 177*f**2 - 343*f**2 - f**3 + 0*f**4 + f + 164*f**2 to a + o*f**4 + r*f + p*f**3 + y*f**2 and give p.
-1
Rearrange -11*y**3 + 23*y**3 - 23*y**3 + (4 - 4 + 4*y**2)*(1 + y - 1) to t + i*y**3 + h*y + w*y**2 and give i.
-7
Express -43*o**4 - 2 + 136*o**2 + 4*o - 135*o**2 + 42*o**4 in the form w*o + z*o**2 + p + r*o**3 + b*o**4 and give b.
-1
Rearrange -9*b**4 - 31 + 2*b**3 + 5 - b + 20 to the form u + t*b + v*b**4 + m*b**2 + r*b**3 and give t.
-1
Rearrange (-3*f + 3*f + f)*(-179*f - 87*f - 241*f)*(-f - 3 + 3) to t*f**2 + o*f + n*f**3 + u and give n.
507
Express (1 - 2 + 3)*(-4*l**3 + 3*l**3 - l**3)*(-106*l - 115*l + 8*l) as b*l + k*l**2 + y + r*l**4 + p*l**3 and give r.
852
Express 0*u + 0*u - u + 3*u - 6 + 6 + (3 - 2 + 31)*(-u + 2*u - 2*u) - u - u + u in the form s + h*u and give h.
-31
Express (5 - 5 + 2)*(l**4 + l**4 - 3*l**4) + (3*l**4 - l**4 - 3*l**4)*(183 - 506 - 256)*(0 + 1 + 0) as m*l**4 + j*l**2 + b + d*l**3 + u*l and give m.
577
Rearrange (251*h - 18 + 8 + 8)*(-4 + 1 + 0) to z*h + b and give z.
-753
Rearrange (-504 + 90 - 14 - 411)*(-4*w**2 + 4*w**2 - 3*w**2) to the form r*w + b*w**2 + l and give b.
2517
Rearrange 3*w**2 + 4*w**3 + 349*w**4 + w - 2*w**3 - 73 - 345*w**4 - 4*w**3 to the form o*w**3 + v*w + u + r*w**2 + i*w**4 and give v.
1
Rearrange -27*m - 5057*m**2 + 60*m - 14*m - 19*m + (1 - 2*m - 1)*(-2*m + 0*m + 0*m) to the form j*m**2 + w*m + y and give j.
-5053
Rearrange (-7*g - 9*g - 8*g)*(0*g**2 + 2*g**2 + 6*g**2)*(-3*g - 2 + 2) to i*g + y*g**2 + x*g**4 + s*g**3 + w and give x.
576
Express -1245*d - 31 + 75 - 44 in the form q + o*d and give o.
-1245
Rearrange 3*j**3 - 3*j**2 + 2*j + 16*j**3 + 6*j**4 - 17*j**3 to the form v + s*j**4 + b*j + m*j**2 + t*j**3 and give b.
2
Express (4*l**4 - 2*l**3 + 2*l**3)*(7 + 386 + 17) + 0*l**4 + 2*l**4 - l**4 as i*l**3 + r*l**2 + m*l + t + d*l**4 and give d.
1641
Express 0*r**2 + 0*r**2 + 76 + r**2 - 3*r**2 as v + w*r**2 + c*r and give w.
-2
Express -k - k + 5*k - 9*k - 2*k - 15*k + (-2*k + 6*k - 2*k)*(1 + 1 + 0) - 2*k + k + 3*k + 0*k + k - 2*k - 6 - k + 6 in the form f*k + p and give f.
-19
Rearrange -796*f - 958*f + 3026*f to a*f + j and give a.
1272
Rearrange (0*m + 0*m - m)*(-4*m + m + 5*m) + 58*m**2 + 86*m**2 + 3*m**2 to i*m + d*m**2 + j and give j.
0
Rearrange 276*v + 339*v + 206*v + 56*v - 75*v to the form x + h*v and give h.
802
Rearrange -421*o**2 - 158*o + 158*o to the form s*o**2 + w*o + n and give s.
-421
Rearrange -41 + 2*l + 20 + 0*l + 18 - 6*l to b + r*l and give b.
-3
Express 28*s**4 + 11*s**4 + 6*s**4 + (-s - s + 0*s)*(0*s - 3*s**3 + 0*s) as u*s + k*s**4 + o*s**2 + j + r*s**3 and give k.
51
Rearrange (-r + 4*r - r)*(7*r + 5*r + 7*r + (1 + 2 + 3)*(0 + r + 0)) to the form h + b*r**2 + l*r and give b.
50
Express 128*j + 33*j - 3*j + 93*j in the form v + y*j and give y.
251
Rearrange (-1 + 1 - 2*p)*(-33 + 12 + 134)*(-5 - 5*p + 5) to the form k*p**2 + h*p + q and give k.
1130
Rearrange (-4*h + h - h)*(6 - 53 - 3)*(-2 + 1 + 3) to the form q + y*h and give y.
400
Express (-106*m - 97*m + 196*m)*(16*m + 40*m - 7*m + 0*m) in the form y*m + g + p*m**2 and give p.
-343
Express -255 + 255 - 56*o as y + b*o and give b.
-56
Express -81*h - 1039 + 1039 - 354*h as a*h + f and give a.
-435
Express 18*x + 1889*x**3 + x**4 - 1886*x**3 + x**4 as f + a*x**3 + d*x**4 + q*x + s*x**2 and give a.
3
Express (-11 - 10 - 10)*(3 + 6*s - 3)*(1 - 1 + 3) in the form u + p*s and give p.
-558
Rearrange 93*g - 269*g - 916*g - 371*g + 251*g to the form k + f*g and give f.
-1212
Express (-4*s - 8859*s**2 + 8859*s**2 - 3*s**3)*(-4 + 4 + 2) as b + h*s**2 + q*s**3 + o*s and give o.
-8
Express -10412*g - 3*g**2 + 0*g**3 + 2 - 3*g**3 - 2*g**2 + 10414*g + 0*g**2 as j + z*g + q*g**3 + i*g**2 and give j.
2
Express -7*g - 5*g - g**2 + 3*g**3 + 1 + 13*g - g**3 in the form z*g**3 + b*g + j*g**2 + c and give z.
2
Express -259*x - 350*x + 117*x - 166*x - 74*x as i*x + q and give i.
-732
Express -3*c**2 + 3 - c**3 + 14*c + 3*c**3 - 28*c + 5*c in the form u*c**2 + y*c**3 + b + w*c and give y.
2
Rearrange 5*v + 56*v**2 + 2 + 95*v**2 - 150*v**2 - 35*v**4 to n*v + j*v**4 + l*v**2 + q + k*v**3 and give j.
-35
Rearrange (-11*y - 8*y + 3*y + (3 + y - 3)*(-3 - 3 + 4))*(-8 - 13 + 9) to the form m + z*y and give z.
216
Express (-10*v - 17*v - 5*v)*(0 - 16 + 6) in the form d*v + k and give d.
320
Rearrange (-35*u**3 - 42*u**3 + 87*u**3)*(2 + 2 - 1) to x*u**3 + c*u + s + o*u**2 and give x.
30
Express (-12 + 21 - 14)*(3 + 11 - 4)*(j**4 + 3*j - j - 2*j**4 + (-2*j + 0 + 0)*(0*j**2 + 2*j**3 + 0*j**2)) as r*j**3 + h*j + y*j**4 + l + c*j**2 and give h.
-100
Express (-3*x + 0*x + 4*x)*(-1 - 2*x + 1) + 2930*x**2 + 7 - 3365*x**2 - 7 as k*x + z*x**2 + o and give z.
-437
Express (4 - c**2 + 4*c**2 - 6)*(-44*c + 9*c - 19*c) in the form v*c**2 + p*c**3 + l*c + a and give l.
108
Express (t**2 - 4*t**2 + 2*t**2)*(-2*t - 2*t + 3*t) + (6*t**2 + 72*t**2 + 0*t**2)*(-3 + 3 - 2*t) as k*t + u + l*t**3 + y*t**2 and give l.
-155
Rearrange 186 - 93 - 93*d**2 - 95 to b*d + w*d**2 + o and give o.
-2
Rearrange -181*v**2 - 1 + 296*v**2 - 1 to b + l*v**2 + s*v and give b.
-2
Express 118 + 118 + 117 - 353 + 1512*i in the form m + o*i and give o.
1512
Express 7*w**2 - 15 + 16 + 3 - 2*w**4 - 2*w + 2*w**3 in the form c + q*w**2 + h*w**3 + r*w**4 + g*w and give q.
7
Express -y**3 + 498 + 2*y**4 + 3*y**3 - y**3 + 154*y**2 + 2*y**3 - 499 in the form i*y**2 + z + f*y**4 + s*y**3 + p*y and give f.
2
Rearrange 129*p**3 - 2*p**2 - 71*p**3 - 60*p**3 - 1 - 20*p to w*p + b*p**3 + f*p**2 + c and give w.
-20
Express -982*l + 500*l + 0 + 9 + 522*l in the form w + p*l and give p.
40
Rearrange -91*y + 120 - 120 to the form u + k*y and give k.
-91
Express -6*p**4 - p - 15*p**4 - 4*p**4 + 20*p**4 - 2*p**2 in the form c*p + q + m*p**2 + w*p**4 + x*p**3 and give w.
-5
Rearrange (-17 + 12 + 9 - 3*r)*(-3 + 2 + 2) - 2*r + 2 + 3*r + 0*r to a*r + j and give a.
-2
Rearrange -8*z**2 - 806*z - 813*z + 1606*z to the form h*z**2 + a + f*z and give h.
-8
Express -1171*t**2 - 2*t + t**4 - 3*t**4 + 1173*t**2 as h*t**3 + d*t + i + l*t**2 + j*t**4 and give d.
-2
Rearrange 15*d - 28*d + 11*d + 7 - d**2 to the form m*d + r + k*d**2 and give k.
-1
Express (22 - 22 + 5*q)*(4 + q**3 - 4) - 246 + 246 + q**2 + 4*q**4 in the form a + v*q**2 + n*q**3 + k*q + o*q**4 and give v.
1
Express (154*u - 241*u - 222*u)*(-3*u**3 + 1 - u**3 + 3*u**3) as x*u + r*u**2 + k*u**3 + h + g*u**4 and give x.
-309
Express 16*k**2 - 190*k - 189*k + 381*k as b*k + s + h*k**2 and give b.
2
Express (w**3 - 2*w**3 + 3*w**3)*(2*w - 3*w + 4*w) - 5697*w**3 + 3*w - w - 56*w**4 + 5696*w**3 in the form m*w**2 + k*w + h*w**4 + i*w**3 + x and give h.
-50
Rearrange 1 + 2*o**2 - 1 + (3*o**2 + 0*o**2 - 4*o**2)*(2 - 1 - 2) - 40*o + 25*o + 18*o + 1 - 4*o**2 to the form j + d*o + l*o**2 and give l.
-1
Express (3 - 4 + 0)*(-119 + 22835*o - 11416*o - 11423*o - o**2) in the form h*o + n*o**2 + c and give n.
1
Express -2*h**2 - 4*h**2 - 1 + 3*h**2 + 11*h - 5*h as l + z*h**2 + x*h and give z.
-3
Express (1 + 0 + 0)*(2*x + 2*x - x)*(6*x**2 - 18*x**2 + 14*x**2 - 10*x) as g*x**2 + t*x + m*x**3 + h and give m.
6
Rearrange (-625*f**2 + 5*f + 625*f**2 + 2 - 2*f**3)*(58*f + f + 118*f) to l*f**2 + m*f**3 + i*f**4 + p + a*f and give l.
885
Express a**3 - 4 + 142*a**2 + 3 - 144*a**2 as x + h*a**2 + v*a + q*a**3 and give v.
0
Express -12 + 38*a**2 - 32*a**2 + 4*a - 1 + 5 as k*a + r + o*a**2 and give k.
4
Rearrange -1 + 55*d**2 + 271*d**2 + 3 - 2 + 1 to the form p + x*d**2 + i*d and give p.
1
Rearrange (5 + 1 - 52)*(3 - 3 + 2)*(0*l**3 + 2*l**3 + 0*l**3) to w*l**2 + m + a*l + p*l**3 and give p.
-184
Rearrange -3*r - 2*r + 10 - 1 - 10 to the form k + w*r and give k.
-1
Rearrange -6*x**2 - 96*x - x**2 - 1324*x + 5*x**2 to the form g + t*x + w*x**2 and give t.
-1420
Rearrange (0*q + q + q)*(-1 + 5 - 2 - 1 + 0 + 3 + (2 + 1 - 5)*(0 - 4 + 2))*(-151 + 2 - 56)*(2 + 0 - 3) to v*q + b and give b.
0
Rearrange (-7 + 0 + 8)*(-47*d - 29 + 29) + 0*d + 2*d + d to t + f*d and give f.
-44
Rearrange 1370*l - 761*l + 1216*l to the form m*l + t and give t.
0
Rearrange 1 + k - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is 3/8 of a kilometer in centimeters?
37500
What is 8/3 of a millennium in months?
32000
What is 38594.25 milligrams in nanograms?
38594250000
What is eleven quarters of a milligram in micrograms?
2750
How many grams are there in 11/4 of a kilogram?
2750
How many kilometers are there in 64.08045cm?
0.0006408045
What is 3/8 of a tonne in kilograms?
375
How many seconds are there in twenty-eight ninths of a hour?
11200
How many millimeters are there in 4.480944 centimeters?
44.80944
How many kilometers are there in 4214.955um?
0.000004214955
Convert 798.9644s to microseconds.
798964400
How many millimeters are there in 6/5 of a meter?
1200
Convert 0.4655129l to millilitres.
465.5129
How many decades are there in 29/2 of a century?
145
How many months are there in 1.287295 millennia?
15447.54
How many litres are there in 74.50329ml?
0.07450329
How many months are there in 1/6 of a century?
200
How many nanograms are there in thirty-one halves of a microgram?
15500
How many micrometers are there in nine tenths of a millimeter?
900
How many months are there in 669.574 centuries?
803488.8
How many grams are there in 0.6676741t?
667674.1
Convert 1659.316 millennia to years.
1659316
What is 1757.796 litres in millilitres?
1757796
How many centimeters are there in 26/5 of a meter?
520
What is 704353.5 millilitres in litres?
704.3535
How many millilitres are there in 8.465992l?
8465.992
How many litres are there in 528310.2ml?
528.3102
Convert 21977.01us to milliseconds.
21.97701
How many millilitres are there in fifteen quarters of a litre?
3750
How many meters are there in 854173.9 micrometers?
0.8541739
What is 811.5073 decades in months?
97380.876
How many milligrams are there in 874597.6 nanograms?
0.8745976
What is 8333.636 weeks in minutes?
84003050.88
What is 26246.92t in kilograms?
26246920
Convert 6.876688 hours to nanoseconds.
24756076800000
What is seven quarters of a kilometer in meters?
1750
What is 1/5 of a micrometer in nanometers?
200
How many minutes are there in three sixteenths of a week?
1890
How many millilitres are there in seven halves of a litre?
3500
What is 610.751 litres in millilitres?
610751
Convert 0.6570165km to centimeters.
65701.65
How many nanometers are there in 10395.42km?
10395420000000000
Convert 86644.4 centuries to months.
103973280
How many months are there in 73.13377 years?
877.60524
What is 11/4 of a kilogram in grams?
2750
Convert 5.087058 weeks to seconds.
3076652.6784
What is 702018.1 millimeters in nanometers?
702018100000
What is 27.933123 months in centuries?
0.0232776025
What is seventeen quarters of a day in hours?
102
What is 6.987295 litres in millilitres?
6987.295
How many minutes are there in 29/3 of a week?
97440
What is 2519.19531ns in days?
0.000000000029157353125
How many milligrams are there in 37/5 of a gram?
7400
What is 1.057863 meters in nanometers?
1057863000
Convert 0.2224357um to meters.
0.0000002224357
How many millilitres are there in 1/10 of a litre?
100
How many decades are there in 4.39766 years?
0.439766
How many months are there in 3/8 of a millennium?
4500
What is 5.269693 milligrams in grams?
0.005269693
How many centimeters are there in 909312.7mm?
90931.27
What is 0.550892ug in tonnes?
0.000000000000550892
What is 3/8 of a kilometer in meters?
375
How many minutes are there in seven quarters of a hour?
105
What is 51.68878g in tonnes?
0.00005168878
How many seconds are there in seventeen quarters of a minute?
255
How many centimeters are there in 9643.093km?
964309300
How many months are there in 1/4 of a decade?
30
What is 9206.42 years in decades?
920.642
Convert 504998.9ml to litres.
504.9989
What is 25/2 of a week in hours?
2100
What is four fifteenths of a hour in minutes?
16
Convert 2071.683m to centimeters.
207168.3
How many tonnes are there in 570.4089 milligrams?
0.0000005704089
Convert 4.099585 decades to centuries.
0.4099585
What is 0.0988847l in millilitres?
98.8847
Convert 0.3218529 litres to millilitres.
321.8529
How many millilitres are there in 3/25 of a litre?
120
What is eighteen fifths of a litre in millilitres?
3600
What is 57527.84 millennia in years?
57527840
How many minutes are there in 598046.1us?
0.009967435
How many months are there in seven sixths of a year?
14
How many millennia are there in 0.0605901 months?
0.000005049175
What is 3/5 of a tonne in kilograms?
600
How many seconds are there in seventeen quarters of a hour?
15300
How many kilograms are there in 1/5 of a tonne?
200
What is twenty-nine halves of a millennium in years?
14500
How many months are there in six fifths of a century?
1440
How many millimeters are there in 3/5 of a meter?
600
Convert 0.3022086 kilograms to grams.
302.2086
What is 3/8 of a kilometer in centimeters?
37500
What is one quarter of a litre in millilitres?
250
How many microseconds are there in 1/10 of a millisecond?
100
What is 2/15 of a decade in months?
16
How many micrometers are there in fourty-five eighths of a centimeter?
56250
What is 3/25 of a litre in millilitres?
120
What is twenty-seven halves of a millennium in centuries?
135
What is 0.7868067 kilograms in grams?
786.8067
How many micrometers are there in 11/8 of a millimeter?
1375
How many micrometers are there in 27/5 of a centimeter?
54000
What is 57818.51 millilitres in litres?
57.81851
How many milligrams are there in 777.9119ug?
0.7779119
How many grams are there in seventeen quarters of a kilogram?
4250
Convert 1328.07 millennia to months.
15936840
Convert 0.351941ms to seconds.
0.000351941
What is three fifths of a millennium in centuries?
6
What is 2/75 of a millennium in months?
320
Convert 32.3882 tonnes to grams.
32388200
What is 0.914374 millennia in years?
914.374
What is 7/2 of a meter in millimeters?
3500
How many millilitres are there in 42361.13 litres?
42361130
How many years are there in three tenths of a century?
30
Convert 39761.93g to kilograms.
39.76193
Convert 623.3733 litres to millilitres.
623373.3
How many milliseconds are there in eleven eighths of a minute?
82500
What is 2/9 of a hour in seconds?
800
What is eighteen fifths of a meter in centimeters?
360
How many micrograms are there in 51/5 of a milligram?
10200
How many days are there in 3.708499 weeks?
25.959493
What is 18.38834 centimeters in nanometers?
183883400
How many months are there in 11/8 of a century?
1650
How many kilograms are there in thirty-one fifths of a tonne?
6200
How many millimeters are there in 29/2 of a meter?
14500
How many millimeters are there in 4.504148 centimeters?
45.04148
How many grams are there in one quarter of a kilogram?
250
How many millilitres are there in 0.391174l?
391.174
How many micrometers are there in one fifth of a centimeter?
2000
How many seconds are there in six fifths of a minute?
72
How many micrometers are there in 1/10 of a millimeter?
100
How many meters are there in 1/4 of a kilometer?
250
Convert 50173.452us to weeks.
0.00000008295875
What is 2/125 of a millimeter in nanometers?
16000
How many micrometers are there in thirteen fifths of a millimeter?
2600
What is 3/5 of a litre in millilitres?
600
How many millilitres are there in 1/5 of a litre?
200
What is eighteen fifths of a meter in centimeters?
360
What is fifty-one halves of a gram in milligrams?
25500
What is 1/5 of a second in milliseconds?
200
Convert 5.7102318 days to weeks.
0.8157474
Convert 2.279569ml to litres.
0.002279569
How many milliseconds are there in 690.2828 seconds?
690282.8
What is 3/50 of a milligram in micrograms?
60
What is 21/5 of a minute in seconds?
252
How many months are there in twenty-five halves of a decade?
1500
How many decades are there in 61527.85 centuries?
615278.5
How many hours are there in 55/4 of a day?
330
How many micrometers are there in 5/8 of a centimeter?
6250
How many milligrams are there in 27/2 of a gram?
13500
How many micrometers are there in 3/5 of a centimeter?
6000
Convert 91990.88t to nanograms.
91990880000000000000
Convert 0.559068 millilitres to litres.
0.000559068
What is 3/10 of a tonne in kilograms?
300
What is 91290.186 microseconds in days?
0.000001056599375
How many millilitres are there in 231101.7 litres?
231101700
How many tonnes are there in 6352.578ng?
0.000000000006352578
What is 97
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose -15 = 2*z - g*z + u, 5*z - 25 = 5*u. Solve 8 = m - 5*k, 0*m + z*k - 1 = -2*m for m.
3
Suppose 43 = 7*k + 141. Let c be (-46)/(-14) - (-4)/k. Solve -5*u = s - 22, 0 = c*u - 0*s - s - 10 for u.
4
Let i = 35 - 29. Suppose i*g = 3*g + 9. Solve 0 = -5*d + 5*j + 40, 0 = -2*d + d + g*j + 18 for d.
3
Let v(m) be the second derivative of -m**5/20 - 7*m**4/12 + 4*m**3/3 + m**2 + 7*m. Let h be v(-8). Solve 0 = 2*d + 2, 5*o - h*d + d + 4 = 0 for o.
-1
Let y be (-4)/(-10) - ((-196)/35 + 1). Solve -3*w - 4 = -y*h + h, 3*w = 12 for h.
4
Suppose -86*t + 24*t = -248. Solve -12 = -t*l + l, l = 5*k - 1 for k.
1
Let l(k) = -16*k + 4 + 18*k - 2. Let z be l(-1). Solve m - 3*f + 18 = -0, z = 2*m - 3*f + 21 for m.
-3
Let q be (-15)/(-18) - 441/(-54). Let j be (q - 10) + (-6)/(-2). Solve 4*d + 1 = -c, 2*d + j*d + 4*c = 8 for d.
-1
Let a = 204 + -190. Solve -2*g - 2*g - 3*h + a = 0, 0 = -5*g - 3*h + 16 for g.
2
Let i = 920 + -915. Solve i*u = z - 2, 0*u - 4*z = -2*u - 8 for u.
0
Let u be 25 - (2 - (1 + -4)). Solve -g + 6*g + u = -2*j, j = -2*g - 8 for j.
0
Suppose 0 = -6*g + 2*g + 32. Suppose 0 = 5*z + 15, 0 = -3*x + 2*x + 3*z + g. Let j(t) = -6*t. Let o be j(x). Solve 3*h = 3*m, -3*h = o*m - 2*m + 28 for h.
-4
Suppose 5*o + 0*o = 45. Suppose 0 = -d + 11 - o. Solve 5 = 3*h + d*x - 12, -4 = -4*x for h.
5
Let f = -14 - -12. Let p be ((-72)/(-30))/(f/10). Let s = 14 + p. Solve 5*x + 26 = 6, -s*y = x - 6 for y.
5
Let t = -10 - -10. Suppose -y + 7*y = t. Suppose 15*h = 13*h. Solve h = -5*s + 2*r + 8, -3*s + 3*r + 7 + 5 = y for s.
0
Let g = 119 - 125. Let s be (g - 3/(-3))/(-1). Let v be 7*1 + -1 - 0. Solve 0 = -3*q + 4*l - 1, s*q - v*l = -3*l - 9 for q.
-3
Suppose 0 = -5*f + 40. Let j be ((-44)/f)/(1/(-2)). Suppose -15*k + 12 = -j*k. Solve 4*h - k*s = -16, s + 4 = -0*h - h for h.
-4
Let g be 4*(-37 - -18)/(-19). Suppose -p - 4*p + 25 = 0. Solve 4 + 2 = -5*l - g*d, 11 = -p*l + d for l.
-2
Let y = 26 + -22. Suppose -y*s + 10 = -2, 22 = 5*d + 4*s. Solve 5*f = -5, -q - f = d*q + 10 for q.
-3
Let h(f) = f**2 + 2*f - 1. Let m be h(-3). Let u(t) = 3*t - 2. Let s be u(m). Suppose -3*k = 3, s*k + 2 = -w - k. Solve i - w*n + 0*n = -7, -4*i = -5*n for i.
5
Let i = -36 - -41. Suppose -2*n - 2*a + 18 = 0, -5*n = -6*a + a - i. Solve -n*r - 7 = -22, 4 = 2*j + 2*r for j.
-1
Let p(d) = -83*d - 163. Let r be p(-2). Solve 5*w - 4*s + 1 = 0, r*w = -0*s - 3*s + 21 for w.
3
Suppose s = 3, -4*b - s + 19 = -0*s. Suppose 5*v + b*f - 52 = v, 2*f = 3*v - 34. Let x be (v/3 - 3)*4. Solve x*n + 4*r - 6*r + 12 = 0, 1 = -5*n - r for n.
-1
Let k = 32 - 15. Suppose -36 = 5*s + 14. Let b = s + k. Solve p = -p - c + b, -2*p - 8 = -2*c for p.
1
Suppose 4*p + a = 19, -60 = -5*a - 45. Solve -i - 5*g = 9 + 12, -p*g = -3*i + 13 for i.
-1
Let z be 6/(-9) - (-11)/(132/56). Solve -2*w + 3 = w, -z*w - 2 = 3*s for s.
-2
Suppose 4*a + 13 - 37 = 0. Suppose 3*d - 216 = -5*d. Let i = d + -21. Solve 3*u + 3*w - i*w = a, u + 23 = -4*w for u.
-3
Let d be -2 + 6*2/3. Let f = 5 - d. Let g be (0 + 7 + -8)*-11 + -6. Solve 2*r + g*s - 5 = 7*r, -f*s = 0 for r.
-1
Suppose -5*d = 5*g - 13 - 17, -4*d + 3*g = 11. Solve s - d = w, w = 4*s + 3*w - 10 for s.
2
Let h(b) = 5*b**2 + 2*b + 19. Let q be h(0). Solve -5*s - 4*o - q = 0, -2*o + 14 = -4*s - 4*o for s.
-3
Let r = 59 - 67. Let w be (-525)/(-84) + 2/r. Solve 5*l - 10 = -2*u, 0*u - 2*u - w = -3*l for u.
0
Let d = -20 + 21. Suppose -3*w = -d - 5. Suppose -3*o = -2*o. Solve -10 = -o*t + 5*t - w*k, 4*t - 15 = -3*k for t.
0
Let j(g) = 4*g**2 - 14*g + 6. Let d be j(3). Solve -2*y + 4*f = d, -2*y - 4*f = -1 + 9 for y.
-2
Suppose -2*g + 4 = -4*d + 8, -5*d + 4*g + 5 = 0. Solve w + r = d, w = -4*w - 2*r + 17 for w.
5
Let t be 144/(-12) - 80/(-5). Solve -3*k - t*c = c - 1, k + 4*c + 2 = 0 for k.
2
Let x(a) = 2*a**2 + 5*a + 2. Let n = 4 + -3. Let f be (n/(-1))/((-11)/(-33)). Let s be x(f). Solve -5*g = -j - 16, -24 = -s*j - 3*g + 2*g for j.
4
Let l(q) = -q**2 + 7*q + 14. Let r be l(8). Suppose 2*f - r*f = 12. Let j be (-84)/(-10) - f/5. Solve 3*n - 5*z = -6*z + j, 0 = 2*z for n.
3
Let q be ((-1)/(-5))/(38/1330). Solve 5 = -c, 5*c = 10*k - q*k - 19 for k.
-2
Let v = -23 + -4. Let x = v - -40. Solve x = 5*h - 4*z, -h = -0*h + z + 1 for h.
1
Let a be ((-490)/8)/(-5) + (-8)/32. Suppose 21*z - a = 15*z. Solve -3*s + 8 = -s + 2*h, z*s - 5*h = -13 for s.
1
Let z(p) = -p + 4. Let l be z(0). Let s be 1 - (0/(-2))/(2 - l). Solve 0 = 3*w - 4*g - 5, 0 = 5*w - 2*g + s for w.
-1
Let r(h) = -h**2 - 4*h + 22. Let g be r(-7). Let t be (0 + 3)/g + 1. Solve 5*q - 4*j + 3*j = 30, t*j + 20 = 0 for q.
5
Let c(z) = -z**3 - z**2 + z + 1. Let o be c(-2). Let v = -20 - -29. Suppose -6*m + 3*m = g - 13, m = 3*g - v. Solve -o*b = -g*t + 9 + 4, 16 = 4*t for b.
1
Let n be -3*((-56)/(-3))/(-7). Let i = -204 + 208. Solve -w + 3*v + 1 = 0, w - n*v + i*v - 3 = 0 for w.
-5
Let l be (-36)/(-9)*14/8. Suppose -3*z + 8 = -f, f - 9 - 7 = -3*z. Solve 18 = 4*b - 2*t, f*b - t = -l + 24 for b.
4
Suppose 37 + 8 = 9*j. Let z(i) = 2*i + 4. Let n be z(-6). Let g = n + 13. Solve g*t - 5*w = -w + 2, 4*t + j*w = 18 for t.
2
Let w = 6 - 6. Suppose -1 + 2 = y - 2*r, r - 2 = w. Solve -2*n - 2 = -y*d + n, 0 = -3*n + 3 for d.
1
Let d(j) = -3*j - 32. Suppose 6*u - 185 = -65. Let w = u - 34. Let o be d(w). Solve 0 = -2*c + m - 5, -3*c + 2*m + 0*m = o for c.
0
Suppose p - 2*d + 0 + 5 = 0, 3*d = -2*p + 25. Suppose -3*b = -p*s + 10, -3*b + 0*s + 5 = -2*s. Solve -4 = -4*t - 3*r, -r + 0 - b = -5*t for t.
1
Suppose -3*c + 5*c - 2*f = -4, -5*f = -4*c - 13. Solve m + 13 = c*r, -3*r = m - 0*m - 5 for r.
3
Suppose -13 - 11 = -4*p. Let a be -3*(-14)/p*1. Suppose 4*x - a = 1. Solve 0 = -4*c + c + 5*h + 26, h + x = -c for c.
2
Let o be 2/(-4)*(19 - (-125)/(-5)). Solve 3*j = 2*m - 14, 0*m - m = j + o for j.
-4
Suppose 0 = 3*w - 10*w - 21. Let g be (w - 1)/(-4 - (-16)/6). Solve 0 = -g*i + 2*x - 2 - 3, 2*x = 5*i + 7 for i.
-1
Suppose -2*j = -3*j. Let w be 1/(-2 + 25/10). Suppose j = y + w - 4. Solve -y*m + 2*o = o + 12, -2*m = 2*o + 6 for m.
-5
Let w(m) = -m**2 - m + 2. Let i be w(0). Suppose 0 = p + i - 6. Suppose 22*j + 8*j - 420 = 0. Solve 0 = -2*o - 5*f + j, 3*o - p = -0*f + f for o.
2
Suppose -31 = f + 3*j, -161 = 4*f + 5*j - 51. Let r(m) = 26*m**3 + m**2 - m + 1. Let y be r(1). Let w = f + y. Solve 0 = w*u + v + 14, 2*u = 2*v - 3 + 1 for u.
-5
Let i(p) = -11*p**3 - 2*p**2 + 1. Let d be i(-1). Suppose 17*g - 728 = 21*g. Let h = g + 182. Solve -11 = -5*n - h*o + 3*o, d = -5*o for n.
1
Let j(q) = -332*q - 5973. Let s be j(-18). Let x(v) = v - 4. Let o be x(6). Solve 15 = -2*u + i, u - 20 = -s*i - o*i for u.
-5
Suppose 3*g + 12 = -g. Let o be -3 + 6 + g*1. Let b(t) = -t + 5. Let f be b(o). Solve 3*q + 20 = m, 3*q = f*q + 2*m for q.
-5
Suppose 5 = -2*q + 3*q. Suppose -54 = -3*z - 3. Suppose i + a = 0, -q*a - z = -5*i + 23. Solve 0 = c + t - i, -4*t = 2*c - 17 + 3 for c.
1
Suppose -5*i + 55 + 35 = 0. Solve 0 = -a + 6*g - g + 12, 3*a + 3*g = -i for a.
-3
Let g be 66/(-4)*(2 - 12). Let v be (-4)/(-30) - (-638)/g. Solve v*c = -4*f + 3*c - 4, 0 = 3*f - 3*c + 3 for f.
-1
Suppose -x - 3*m = -6*x + 14, -3*m = 2*x - 14. Let p(w) = -13*w**3 + 2*w**2 + 4*w + 3. Let i be p(-1). Solve 5*v + d + 3 = -4, i = -x*v + 2*d for v.
-2
Let s = 19 - 20. Let f be (-232)/(-48) + s/(-6). Let t be 2/4 - (-18)/4. Solve -4*h + 1 = 2*j - f*h, j + 5*h = -t for j.
0
Let w(o) = 98*o - 196. Let l be w(2). Solve y = 3*i + 9, l*y - 15 = -5*y + 5*i for y.
0
Suppose 3*s = -3 - 33. Let u = s - -22. Let i = 74 + -74. Solve 2*q - u = -i*a - 2*a, 0 = -4*a for q.
5
Let w be (-15)/((-120)/64) - (5 + -2). Solve -r + 2*f + 6 = -0*f, w*r - 2*f = 6 for r.
0
Let c(d) = d**3 - 5*d**2 - 17*d + 21. Let a be c(7). Solve a = 5*l + 4*k + 1, -4*l + 5*k = -0*k + 9 for l.
-1
Let p = 89 - 90. Let r be (3*(p - 0))/(-1) - 1. Solve 3*n + r*z = -z - 15, z = -3*n - 7 for n.
-1
Let i(v) = -v**3 + 3*v**2 - 2*v. Let z be i(2). Suppose -3*n - 9 + 123 = z. Let t = -22 + n. Solve -5*d + 4*x = -4*d - t, -5*d + 4 = -x for d.
0
Let y(m) = m + 19. Let p be y(-14). Suppose -103*d - 25 = -108*d. Solve -p*j - 2*q - 19 = 0, -3*j - 5*q + d = -j for j.
-5
Let q(z) = 2*z**3 + z**2 + z - 1. Let h be q(2). Suppose h*f + 45 = 24*f. Solve 4*y = -2*a - 2, 5*a + 35 = 5*y + f for a.
-3
Let g = -274 - -278. Solve g*l + p + 8 = -0*p, -20 = 5*p
|
{
"pile_set_name": "DM Mathematics"
}
|
)?
-72*h**2
Let v(x) = 4*x. Let k(q) = 7558142*q + 2. Determine v(k(u)).
30232568*u + 8
Let w(g) = 26011*g - 155. Let n(l) = 16257*l - 96. Let s(z) = -21*n(z) + 13*w(z). Let k(b) = -b**2. What is s(k(h))?
3254*h**2 + 1
Let l(p) = 78*p. Let n(a) be the third derivative of -9*a**4/8 + a**3/3 + 3169*a**2. Determine n(l(y)).
-2106*y + 2
Let w(a) = -7578886*a. Let j(s) = 2*s. What is j(w(i))?
-15157772*i
Let p(b) = -1254*b + 10. Let u(s) = -1015*s. Give u(p(v)).
1272810*v - 10150
Let h(v) = -19*v. Let g(q) = -6*q**2 + 5. Let w(z) = -7*z**2 + 13. Let o(c) = -3*g(c) + 2*w(c). Determine h(o(a)).
-76*a**2 - 209
Let l(c) = 786*c - 267*c - 253*c - 264*c. Let q(o) = 432*o**2. Give l(q(b)).
864*b**2
Let n(h) = 10*h**2. Let r(t) = -5*t - 2. Let a(o) be the third derivative of o**4/4 + o**3/2 - 17*o**2 - 1. Let x(c) = -4*a(c) - 6*r(c). Give x(n(b)).
60*b**2
Let b(x) = -11*x. Suppose -47*c = -44*c. Let v(s) = 3*s**2 + c*s**2 - s**2 + 0*s**2. Calculate b(v(a)).
-22*a**2
Suppose 6*u - 5 = 7. Let c(d) = -8 + u*d**2 - 32*d**2 + 8. Let g(o) be the first derivative of -o**2 + 39. Calculate c(g(b)).
-120*b**2
Let c(q) be the first derivative of -q**2 - 4*q + 10. Let b(s) = 8*s - 5. Let v(x) = 15*x - 9. Let a(f) = -9*b(f) + 5*v(f). Calculate c(a(j)).
-6*j - 4
Let b(y) be the third derivative of y**4/4 - y**3/2 + 427*y**2 + 3. Let u(i) = -4*i**2. What is u(b(p))?
-144*p**2 + 144*p - 36
Let h(i) = -1910*i. Let m(d) be the second derivative of -d**3/6 - 223*d + 2. Give h(m(c)).
1910*c
Let l(y) = -60*y. Let b(j) = -237 - 285 + j + 522. Calculate b(l(m)).
-60*m
Let m(g) = 3*g + 9. Let o(z) = 20*z**2 - 100*z - 25. Let a(v) = v**2 - 4*v - 1. Let n(c) = 25*a(c) - o(c). Give n(m(w)).
45*w**2 + 270*w + 405
Let x(s) = -1 + 1 + 2*s - 5*s + 15*s. Let w(l) be the second derivative of l**3/3 + l. What is x(w(k))?
24*k
Let q(f) = -2*f**2 - 62*f. Let u(s) be the first derivative of -s**4/6 + 31*s - 211. Let t(a) be the first derivative of u(a). Give t(q(g)).
-8*g**4 - 496*g**3 - 7688*g**2
Let n(v) = -5*v**2. Let m(b) be the first derivative of 18 + 645*b - b**2 - 11*b**2 - 645*b. Calculate m(n(j)).
120*j**2
Let h(v) = 1263*v**2. Let j(b) = 52550*b**2 - 105102*b**2 + 52551*b**2. What is j(h(x))?
-1595169*x**4
Let a(c) = -c. Suppose 4*n - s - 21 = 0, 3*n - 3*s = -2*s + 17. Let q(u) = 2*u + u - n + 0*u - 2*u. Determine q(a(w)).
-w - 4
Let t(s) = 1393*s. Let f(i) = -53804*i. What is t(f(r))?
-74948972*r
Let i be (-12)/(9 + -6) + 21. Let d(w) = -i*w**2 + 33*w**2 - 14*w**2. Let g(p) be the third derivative of 11*p**4/12 + p**2. What is d(g(v))?
968*v**2
Let z(g) = -11827327*g. Let d(s) = -9*s**2. Give d(z(l)).
-1258970975684361*l**2
Let o(z) = 48*z**2 + 19065*z - 82. Let i(n) = -21*n**2 - 8341*n + 36. Let s(a) = -41*i(a) - 18*o(a). Let k(w) = -2*w. What is k(s(v))?
6*v**2 + 2378*v
Let g(u) = -12*u. Let k(b) = -4*b**2 + 4. Let o(y) = 25*y**2 + 4. Let p(j) = -6*k(j) - o(j). What is g(p(l))?
12*l**2 + 336
Let a(i) = -39*i. Let s(y) = -18*y**2 - 24*y**2 - 26*y**2 + 95*y**2 - 8*y**2. Calculate s(a(m)).
28899*m**2
Suppose -308*a + 303*a = -10. Let w(c) = -3*c**2 + 14*c + 0*c**2 - 3*c**a - 14*c. Let z(x) = 3 - x - 3. What is z(w(p))?
6*p**2
Let k(p) = -3683 - 5*p**2 + 7345 - 3662. Let f(x) = 39*x + 3. Calculate f(k(d)).
-195*d**2 + 3
Let o(l) = -1054*l**2 + 5*l - 2164. Let m(p) = 5*p. Calculate m(o(t)).
-5270*t**2 + 25*t - 10820
Let d(h) = -6*h**2. Let b(w) = -40*w - 947. Let z(u) = 13*u + 334. Let v(t) = 6*b(t) + 17*z(t). What is d(v(k))?
-2166*k**2 - 912*k - 96
Let o(i) = -5*i + 3. Let a(b) = -46 - 2*b + 16 + 14 + 19. Let q(k) = -5*a(k) + 5*o(k). Let y(l) be the third derivative of l**5/15 - l**2. Give q(y(h)).
-60*h**2
Let x(p) = 3992868 - 3992868 + 3*p. Let w(s) = 1244*s. Determine w(x(f)).
3732*f
Let k(s) be the second derivative of 0 - 1/6*s**3 + 0*s**2 - 3*s. Let b(h) = h**2 - h. Let m(c) = 23*c**2 - 4*c. Let v(x) = 4*b(x) - m(x). What is k(v(q))?
19*q**2
Let l(b) = b - 127. Let v(p) = -120490*p. What is v(l(m))?
-120490*m + 15302230
Let n(d) = -668*d - 4488. Let v(z) = 132*z. Calculate n(v(h)).
-88176*h - 4488
Let s(f) be the third derivative of 0 + 6*f**2 + 0*f - 1/8*f**4 + 0*f**3. Let w(u) = -31*u. Let n(l) = 41*l. Let p(j) = -3*n(j) - 4*w(j). Determine p(s(y)).
-3*y
Let k(h) be the second derivative of -h**3/6 + 11*h + 14. Let v(j) = 6185*j**2. What is v(k(x))?
6185*x**2
Let q(c) = 2*c + 72. Let v(j) = 2*j**2 - 713108*j. Calculate q(v(s)).
4*s**2 - 1426216*s + 72
Let u(c) = -c + 13. Let a(b) = 4*b - 66. Let z(y) = -2*a(y) - 11*u(y). Let r(k) = -280*k + 100*k + 84*k - 2*k**2 + 96*k. Determine r(z(s)).
-18*s**2 + 132*s - 242
Let u(c) = -23 - 8*c**2 + 23. Let g(x) = -7*x + 72. Let k(f) = -84*f + 840. Let o(l) = -35*g(l) + 3*k(l). What is u(o(y))?
-392*y**2
Let q(r) = 23747 + 113*r - 23747. Let v(m) = -5*m**2. Determine q(v(b)).
-565*b**2
Let s(g) = 705412*g. Let j(o) = -143*o**2. Determine j(s(p)).
-71157670833392*p**2
Let d(z) = z + 3. Let s(j) = -3*j + 9. Let h(n) = 6*d(n) - 2*s(n). Let o(v) = -57*v**2. Give o(h(p)).
-8208*p**2
Let k(m) be the third derivative of 20*m**2 + 1/30*m**5 + 0*m**3 + 2 + 0*m**4 + 0*m. Let w(u) = 33*u**2. What is w(k(x))?
132*x**4
Let a(j) = -78890*j - 78897*j + 236661*j - 78874*j - 3*j**2. Let r(q) be the second derivative of -13*q**4/3 + q**2/2 + q. Give r(a(f)).
-468*f**4 + 1
Let g(m) = -m + 1285. Let b(a) = -13161*a + 3. Give g(b(k)).
13161*k + 1282
Suppose -3*p = 2*z + 5, -p - 7 = -5*z + 6. Suppose 0 = -z*x - 2*j + 2, 4*x - 52 + 13 = 3*j. Let b(n) = x - 6 + 6*n - 3*n. Let g(m) = -7*m. What is g(b(w))?
-21*w
Let g(d) = 2*d. Let x(k) = 15*k - 4. Let p(v) be the first derivative of v**2/2 - v + 65. Let o(w) = 4*p(w) - x(w). Calculate g(o(a)).
-22*a
Let c(k) = -34*k. Let n(s) be the second derivative of 175*s**4/6 - 1470*s - 4. Give n(c(r)).
404600*r**2
Let l(h) = 5*h**2 + 4*h - 8. Let d(v) = -63*v**2 - 51*v + 102. Let f(a) = -4*d(a) - 51*l(a). Let w(z) = 913*z**2. What is f(w(m))?
-2500707*m**4
Let g(j) = 17119*j - 247. Let w(l) = -416*l + 6. Let p(b) = 6*g(b) + 247*w(b). Let u(i) = -2*i**2 - 3. Give u(p(o)).
-2888*o**2 - 3
Let s(w) = -3*w - 7. Suppose -p - p + 12 = -u, 0 = -p + u + 6. Let q(x) = 3*x + 8. Let z(v) = p*q(v) + 7*s(v). Let j(y) = -y. Calculate j(z(n)).
3*n + 1
Let n(t) = -147304 - 274*t**2 + 147304. Let d(a) = -2*a**2. Calculate n(d(c)).
-1096*c**4
Let n(m) = 2*m**2. Suppose -20*g + 339 + 181 = 0. Let x(y) = -10 - 535*y + g - 16 + 49*y. Calculate x(n(v)).
-972*v**2
Let f(k) = -k + 69. Let p(t) be the first derivative of -3/2*t**2 + 0*t - 264. Give p(f(i)).
3*i - 207
Let j(k) = -k**2 + 3*k + 6. Let f(m) = m**2 - 2*m - 4. Let i(w) = 3*f(w) + 2*j(w). Let x(n) = -5*n. Let h(d) = -d. Let r(g) = -4*h(g) + x(g). Calculate r(i(c)).
-c**2
Let r(d) = d - 517240667. Let w(h) = -2*h. What is w(r(t))?
-2*t + 1034481334
Let t(s) = 7269441 - 7269441 - 47*s. Let m(a) = 71*a. Give m(t(g)).
-3337*g
Let z(j) = 3*j**2 - 6*j**2 + 4*j**2 + 0*j**2. Let u be (2 - -12)*(-2 + 20). Let o(f) = -252 + u + 31*f. Calculate o(z(v)).
31*v**2
Let m(u) = 31*u**2. Let d(i) be the third derivative of 0 - 20*i**2 + 0*i + 0*i**4 + 0*i**3 + 1/20*i**5. Give m(d(g)).
279*g**4
Let q = -770 + 772. Let n(p) be the second derivative of 0*p**q + 11*p + 0 - 1/12*p**4 + 5/3*p**3. Let v(i) = i**2. Calculate n(v(l)).
-l**4 + 10*l**2
Let h(r) = -r - 675647. Let x(j) = -14*j - 1. Determine h(x(t)).
14*t - 675646
Let h(q) = 99*q**2 + 3*q - 36. Let k(d) = 98*d**2 + 4*d - 48. Let l(n) = -4*h(n) + 3*k(n). Let j(y) = -10*y. Calculate l(j(c)).
-10200*c**2
Let o(b) = -b**3 - 33*b**2 - 28*b + 149. Let q be o(-32). Let t(j) = 10*j - 7*j - q*j. Let s(n) be the third derivative of -n**4/24 + n**2. Give t(s(y)).
18*y
Let l(c) = -54519*c - 2. Let f(o) = 41*o**2. What is l(f(w))?
-2235279*w**2 - 2
Let d(f) = -41841*f**2. Let b(t) = -55*t**2. Calculate b(d(l)).
-96286810455*l**4
Let v(s) = -2*s. Let z(g) = 37568900*g - 8. Give z(v(f)).
-75137800*f - 8
Let t(z) be the third derivative of z**5/30 - 13*z**2 + 32. Let w(j) = -20*j**2 - 23. Let v(c) = 7*c**2 + 8. Let l(s) = -11*v(s) - 4*w(s). Calculate l(t(g)).
12*g**4 + 4
Let z(i) = -102*i**2. Let x(c) be the first derivative of 2*c**2 - 1207. Calculate z(x(k)).
-1632*k**2
Let a(b) = 8*b. Let p(h) = -h**3 + 47*h**2 + 52*h - 162. Let t be p(48). Let s(g) = -t*g
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - 6*p**3. What is the units digit of b(-17)?
3
Suppose 0 = o - 14*d + 12*d + 1, 2*d = -o + 3. What is the tens digit of (79237/85 - o/5) + -3?
2
Let g be (1 - -1) + (13 - 13). Suppose -g*n = -4*n - 194. Let i = n + 221. What is the hundreds digit of i?
1
Suppose -2*d + 4*d = 5*g + 9, 3*d = 2*g + 19. Suppose 0 = -d*f + 6*f + 1. What is the tens digit of (19*4 - (-4)/2) + f?
7
What is the thousands digit of -17922*5/(-10)*(-4)/(-4) - 6?
8
What is the hundreds digit of 35/(-28) + 239365/20 + 5/(-1)?
9
Let x = -2489 - -2669. What is the tens digit of x?
8
Let u be ((-72)/14)/((-76)/(-266)). What is the units digit of (27480/(-9))/4*u/15?
6
Let v(z) = -z**3 + 6*z**2 + 15*z + 10. Let q(k) = 0 + 6 + 2 - k**3 - k - 2*k. Let t be q(0). What is the units digit of v(t)?
2
Let z(b) = -b**3 - 8*b**2 - b - 10. Let a be z(-8). Let r(w) = -36*w - 11. Let m(q) = -36*q - 11. Let x(f) = 7*m(f) - 6*r(f). What is the tens digit of x(a)?
6
Let z(c) = -2 - 16*c + 6 - 16*c**2 - 2 + 20*c. Let t be z(-2). Let o = 111 + t. What is the tens digit of o?
4
Let q = 10619 - 3514. What is the tens digit of q?
0
Suppose -8*m = -5*m - 681. Suppose 5*t + 361 = 3*d + 957, -5*d = -2*t + m. What is the hundreds digit of t?
1
Let c(b) = b + 11. Let l be c(-8). Suppose 5*t + 22 = l*i, 2*t + 22 = 5*i + t. Suppose -r + 3*n = -18 - 31, i*r + 2*n = 168. What is the units digit of r?
3
Suppose -w - 6322 = 3*p - 24183, 4*p - 23820 = -4*w. What is the hundreds digit of p?
9
Let v = -76 + 89. Let o = v - 18. What is the tens digit of -5 + (o - -7) + 218?
1
Suppose -v = -8*w + 3*w + 22, -21 = -3*w - 2*v. Suppose -4*r + 1737 = w*r. What is the units digit of r?
3
Suppose 20 = 6*z + 128. Let c be 448/(-12)*z/4. Let q = c + -61. What is the tens digit of q?
0
Let s = -1942 - -19833. What is the thousands digit of s?
7
What is the hundreds digit of -2 + 8 + (-17736)/(-4) + -6?
4
Let q = 37382 + -26092. What is the tens digit of q?
9
Let k = 313 + -315. Let y(c) = -42*c + 24. What is the units digit of y(k)?
8
Let q(b) = -b**3 - 12*b**2 + b + 9. Let o be q(-12). What is the units digit of 5/o*29820/(-350)?
2
Let o = 45 + -42. Suppose 10 = o*x + 4. Suppose -13*s + 550 = -x*s. What is the units digit of s?
0
Suppose 2*l - 3*z = 6*l - 18, -2*l + 3*z = 0. Let r be (-20)/(15/l)*(-6)/8. Suppose 451 = 5*m + 2*t + 95, -t + r = 0. What is the tens digit of m?
7
Suppose x = 2*m - m - 1, 2*x = -5*m + 19. Suppose -53 = x*u - 3. What is the units digit of 469/5 - (80/u + 3)?
4
Let a = 232 + -151. Suppose -a = -m + 390. What is the units digit of m?
1
Suppose -21*c = -18*c + 27. What is the tens digit of (-6)/27 - 1514/c?
6
Suppose -3*s = -s - 2*o - 6902, 4*o = -4. What is the tens digit of s?
5
Let r(l) = 23*l + 6. Suppose -4*t + 62 - 6 = 0. Suppose 3*a + 3*x - 12 = 0, -a + t = 2*a + 5*x. What is the units digit of r(a)?
5
Suppose -13*h - 2*l + 31992 = -12*h, -5*h - l = -159987. What is the ten thousands digit of h?
3
Let h(r) = -2*r**3 - r**2 + 1 + 1 + 5*r - 3*r**3 + 3. What is the tens digit of h(-2)?
3
Suppose 0 = -4*a - 8, 6*n + 2*a + 55 = 3*n. Let r = -2315 - -2139. Let h = n - r. What is the tens digit of h?
5
Let b = 16 - 14. Suppose -b*m + 2 = -2. What is the units digit of m/5 - 132/(-20)?
7
Let n(s) = -5*s**3 + 14*s**2 + 31*s - 12. Let t be n(-6). Let f = t + 386. What is the thousands digit of f?
1
Let r = 80720 + -49032. What is the hundreds digit of r?
6
Suppose -24*u + 1463 - 215 = 0. Let f = u + 207. What is the hundreds digit of f?
2
Let n(d) = 337*d**2 - 24*d - 489. What is the hundreds digit of n(-14)?
8
Suppose -8*i - 4810 = -15866. Suppose i = u + 2*b - 319, 8470 = 5*u + 3*b. What is the hundreds digit of u?
6
Let s = -568 - -578. Suppose 0 = -8*i + s*i - 4*p - 3304, -5*p + 1624 = i. What is the hundreds digit of i?
6
Let x(r) = -7677*r - 575. What is the hundreds digit of x(-2)?
7
Let y = -89 + 57. Let d be ((-552)/y)/((-2)/(-8)). Let q = 109 + d. What is the tens digit of q?
7
Let p be -9*(-19 + 21)*(-2)/18. Suppose p*z = 7*z - 3290. What is the units digit of z?
8
Let k(x) = -224*x + 273. What is the thousands digit of k(-22)?
5
Let f = 101092 - 71740. What is the ten thousands digit of f?
2
Let r(f) be the third derivative of -f**6/24 - 2*f**5/15 + f**4/8 - f**3/6 - 54*f**2. What is the units digit of r(-4)?
9
Let y be -4 + 4 - 3*2. Let z(f) = -3*f**2 + 108*f + 8. Let w be z(36). What is the tens digit of -1 + 214 + y + w?
1
Let d(l) = -1520*l + 182. What is the thousands digit of d(-4)?
6
Let q = 8 + -12. Let l be q/(-34) - (-3913)/119. Let x = l + -23. What is the units digit of x?
0
What is the units digit of (-321)/(-214) - 64893/(-6)?
7
Let v(s) = 4*s**3 + 10*s**2 - 29*s + 2. Let l be v(-4). Suppose -10816 = 6*j - l*j. What is the units digit of j?
6
Suppose -4*x - 4 = 0, 2*x = 5*u + 27 + 21. Let l = u - -13. Suppose l*h = 5*i - 1080, -8*h = i - 4*h - 239. What is the units digit of i?
9
Let i = -147 + 156. Suppose o + 2288 = i*o. What is the hundreds digit of o?
2
Let g be 5191/3 - (-7)/(21/2). Suppose -g = -5*i - 436. What is the tens digit of i?
5
Suppose 54300 = -5*g - 5*m - 21465, 0 = 5*g + 2*m + 75756. What is the hundreds digit of (28/(-10))/((-10)/g*-3)?
4
Let y(f) = 290*f + 964. What is the tens digit of y(5)?
1
Let s(v) = v**3 + 23*v**2 + 35*v - 160. What is the hundreds digit of s(-19)?
6
Suppose 124*q - 716475 - 277881 = 0. What is the units digit of q?
9
Suppose 2*q - 75 - 31 = 0. Let s = 27 - 40. Let k = q + s. What is the tens digit of k?
4
Let u be (3/5)/((-72)/90)*-7420. Suppose -u = 28*o - 35*o. What is the units digit of o?
5
Suppose -10 + 100 = 10*r. What is the units digit of r/(-36) - (-169)/4?
2
Suppose -14*p + 123 + 129 = 0. Suppose 2206 + 1754 = p*k. What is the tens digit of k?
2
Suppose 2*v = -3*y + 12, -y = 4*v - 6*y - 2. Let c(p) = 46*p + 15. Let t be c(v). Suppose -2*m + t = 25. What is the units digit of m?
4
Suppose 94744 = 45*h + 37*h - 78*h. What is the thousands digit of h?
3
Let z(w) be the third derivative of w**6/120 - w**5/4 - 5*w**4/12 - 7*w**3/6 + 3*w**2. Let q(y) = y + 9. Let b be q(7). What is the units digit of z(b)?
9
Let y = 51 - 36. Suppose 17*v = y*v + 4. Suppose 0 = v*d - 8*d + 384. What is the tens digit of d?
6
Suppose 61*h - 205983 = 149769. What is the thousands digit of h?
5
Let d = -54728 - -86636. What is the units digit of d?
8
Suppose 4*q = -q + 245. Suppose -q*w = -42*w - 1372. What is the units digit of w?
6
Let s(o) = o**3 + 31*o**2 + 73*o + 118. What is the thousands digit of s(-25)?
2
Let j(s) = -17 - 17 + 13 + 20*s - 12 - 7. Let b = 16 + -10. What is the units digit of j(b)?
0
Let v = -52 + 127. Suppose -16*i - v = -1547. What is the tens digit of i?
9
Suppose -27*w = -22*w + 3*s - 35801, 4*s = 2*w - 14310. What is the thousands digit of w?
7
Suppose 103*p - 3324 = 109*p. Let w = p + 1432. What is the units digit of w?
8
Suppose -5*l = -15, 21107 = p + l - 9528. What is the thousands digit of p?
0
Let i(s) be the third derivative of s**5/30 + s**4/12 + 11*s**3/3 + 60*s**2. What is the tens digit of i(5)?
8
Let d = 6547 - 609. What is the hundreds digit of d?
9
Let w = 28 + -62. Let f = 78 + w. What is the tens digit of (2/12 - 6/(-18))*f?
2
What is the tens digit of ((-41940)/27)/((-70)/168)?
2
Let m(l) = 13*l**2 - 26*l + 2. Let x be m(5). Let w = 276 - x. What is the tens digit of w?
7
Let h be (693/(-84))/((-6)/40). Suppose -u = -s + 69, 2*s - 4*u - 203 = -h. What is the units digit of s?
4
What is the thousands digit of 36 + 37 + -66 + (0 - -14423*2)?
8
Let v(t) = t**3 + 10*t**2 + t + 11. Let x be v(-10). Let l be x + (12/(-4) - 0) - -298. Let i = l - 121. What is the tens digit of i?
7
Let b be (132/30 + -8)*(-10)/4. Suppose 3*y - 1396 = 11*z - b*z, 2*y - z = 929. What is the units digit of y?
2
Suppose -4972*l = -4964*l - 20456. What is the thousands digit of l?
2
Let z = -18208 + 19409. What is the units digit of z?
1
Suppose -46*l + 72 = -49*l. Let f be (-5)/(-2) + (-12)/l. Suppose 0 = -5*c - q + 631, -627 = -5*c - 5*q + f*q. What is the tens digit of c?
2
Suppose -2*k = -0*k - 10. Suppose 5*r = j - k, -r = r. Suppose -5*l = j*v - 60, -v + 2 = -4*l - 0*l. What is the units digit of v?
0
What is the units digit of (30/264*11)/((-1)/(-12904))?
0
Suppose 18*j + 11*j = -203. What is the units digit of (2 + (
|
{
"pile_set_name": "DM Mathematics"
}
|
-8 - -19. Suppose 18*a = b*a + 994. What is the hundreds digit of a?
1
Let g(z) = 18*z + 13. Suppose 0 - 13 = -a. What is the units digit of g(a)?
7
Let g(a) = 90*a + 67. What is the hundreds digit of g(20)?
8
Suppose 5*h + 690 = -195. Let w = 12 - h. What is the units digit of w?
9
What is the hundreds digit of (-128)/576 + 13054/18?
7
Let k(f) = -f**3 - 10*f**2 + 29 - 30 + f**2 - 6*f. What is the tens digit of k(-9)?
5
Suppose 0 = -2*x + 2*n + 10, 4*x - 15 = -n - 0*n. Suppose -11 = -3*l + x*s, -5*s = -5*l - 4 + 24. What is the units digit of l?
5
Let a(u) = u**3 + 10*u**2 - 10*u + 5. Let w be a(-11). Let o = -24 - w. Let y = o + 51. What is the units digit of y?
3
Let s(h) = 4*h**2 - 33*h + 39. What is the tens digit of s(14)?
6
Let k(w) be the third derivative of -w**4/3 + 2*w**3 - 7*w**2. Let g be k(-6). What is the tens digit of (-40)/g + 173/3?
5
Let a(b) = b**2 - 2*b - 10. What is the hundreds digit of a(-15)?
2
Let a(f) = -14*f**2 - 1. Let d be a(-1). Suppose 0 = 5*c + 16 - 1. What is the tens digit of (18/5)/(c/d)?
1
Let n be (11/5 + -1)*(-370)/(-111). Suppose 3*q - 20 = -n*m + 23, 4 = 4*m. What is the units digit of q?
3
Suppose 10*h = 83*h - 295358. What is the tens digit of h?
4
Suppose -7 + 102 = -5*t. What is the tens digit of ((-19)/(-3))/(t/(-171))?
5
Let x(w) = 19*w + 15. What is the units digit of x(1)?
4
What is the units digit of 1/((-107600)/9782 - -11)?
1
Let p(t) = 6*t**3 - t - 1. Let g be p(2). Suppose -5*u = -4*h - 4 - 103, 0 = 5*h - 2*u + 138. Let o = h + g. What is the units digit of o?
7
Suppose 4*v - 20 = -0*v. Let q be (-10)/25 + 456/15. Suppose 0*k + v*k - q = 0. What is the units digit of k?
6
Suppose -3*p = 2*p - 265. Suppose 4*v - 131 = 3*d, 0*d - 2*d = -v + 34. Let x = p - v. What is the tens digit of x?
2
Let n = 2 - -155. What is the tens digit of n?
5
Let o be (-177)/(-15) + 1/5. Suppose 4*k - 345 = 5*f, -3*k + 3*f = -249 - o. What is the tens digit of ((-2)/1)/((-12)/k)?
1
What is the hundreds digit of 1 + -6 + 0 + 347?
3
Let w be 3 + -2 + 2 + 3. Let r be w/(-21) - 111/(-21). Suppose -r*k = l - 109, -4 + 23 = k + 3*l. What is the tens digit of k?
2
Suppose -7*w + 2 = -12. Suppose -w*x + 29 - 191 = -4*g, -120 = -3*g + 3*x. What is the tens digit of g?
4
Let w(l) be the first derivative of l**4/4 + 3*l**3 - 3*l**2 + 22*l + 8. What is the units digit of w(-8)?
4
Suppose 42*w = 39*w + 2*n + 11995, -4*n + 4003 = w. What is the hundreds digit of w?
9
Suppose 0 = 5*x - u + 34, -4*x + 2*u = 4*u + 16. What is the hundreds digit of 2 + (-1168)/x + (-22)/33?
1
Suppose 0*z = -12*z + 7500. What is the hundreds digit of z?
6
Let y(h) = 3*h**2 - 4*h - 7. Suppose -2*o - 12 = 4. What is the units digit of y(o)?
7
Suppose -j + 2 = a - 1, -5*a + 12 = 4*j. Suppose 0 = j*p - 28 - 2. Let o = 33 - p. What is the units digit of o?
3
Let w(l) = l**3 + l**2 + 1228. What is the units digit of w(0)?
8
Let v(f) = 4*f**2 + 26*f + 185. What is the hundreds digit of v(-25)?
0
What is the hundreds digit of (7/7)/((6/(-447))/(-2))?
1
Let k be 17 - 1 - (-2 + 3). Let y be ((-2)/5)/((-3)/k). Suppose -131 + 21 = -y*a. What is the units digit of a?
5
Let b = -31 - -35. Suppose 4*u + 2*y = b + 452, -345 = -3*u - 3*y. What is the units digit of u?
3
Let m(q) = -q**3 - 12*q**2 + q + 16. Let r be m(-12). Suppose -r*x + 2*x - 6 = 0. What is the tens digit of 1*(21 + (-12)/x)?
2
Let j(i) be the second derivative of 3*i**5/20 - i**4/4 - 5*i**3/3 + 5*i**2/2 + 43*i. What is the units digit of j(4)?
9
What is the thousands digit of (112770/15)/((-9)/(-6))?
5
Suppose -12 = 2*l - 52. Suppose 0 = -0*c + 3*c. Suppose 2*r - 4 - l = c. What is the tens digit of r?
1
Let l = -247 + 1401. What is the units digit of l?
4
Let z(a) = 8*a**2 + 17*a + 11. What is the tens digit of z(8)?
5
Suppose 8*p + 50 = 10. What is the units digit of -6*6/(-90) - 113/p?
3
Suppose -304 = -4*p + 324. What is the tens digit of p?
5
Suppose 0 = 10362*x - 10361*x - 5665. What is the tens digit of x?
6
Let i(n) = -n**3 - 3*n**2 + 6*n. Let x be i(-5). Let u be 18/8 - 5/x. Suppose 5*w = 5*l + 25, -3*w - 2*l = u*l + 6. What is the units digit of w?
2
Let i(o) = o**3 + 3*o**2 - 3*o. Let b be i(-4). Let q(y) = 835*y**2 - 1672*y**2 + 838*y**2 + 2 + y. What is the tens digit of q(b)?
1
Let c(r) = -8*r**2 + 27*r + 21. Let a(h) = 3*h**2 - 9*h - 7. Let k(w) = 11*a(w) + 4*c(w). What is the units digit of k(-13)?
9
Let i = 31 + 3. Let h = 155 - i. Suppose 2*b - 2*x = -0*x + 50, -h = -4*b - 3*x. What is the tens digit of b?
2
Let t = 473 + 1135. What is the hundreds digit of t?
6
Let p be ((-22)/11)/(1/(-2)). Let k be (-2 - 1) + 4 + p. Suppose 0 = -10*w + k*w + 50. What is the tens digit of w?
1
Let y = -50 - -53. Suppose 3*v + y = 0, 2*t + 3*v = -0*v - 1. What is the units digit of t?
1
Let c be -2 - 2/(4/(-4)). Suppose c = -5*r - 31 - 4. What is the units digit of (7/2)/r*-6?
3
Let r = 36 + -33. Suppose -r*c + 126 = -0*c. What is the tens digit of c?
4
Let d(o) = 13*o**2 - 2*o. Let v be d(-2). Let s = v - -38. Suppose 0 = -3*c + i + 74, -4*c - 4*i + s = -3*i. What is the tens digit of c?
2
Let x(t) = t - 5. Suppose -5*a + 3 = -4*b, 0 = b + 1 - 4. Let h be x(a). What is the units digit of (h + 4)*(-6)/(-4)?
3
Suppose -5*z + 3*m + 11 = 0, 4*z + m = 6*m + 1. Suppose -2*u + z = -4*i, -2*i = 5*u - 0*i - 22. Suppose -u*d = -17 - 107. What is the tens digit of d?
3
Let s be (-6)/(-4)*48/(-18). What is the tens digit of 70/s*(-12)/6?
3
Suppose -3*r - 148 - 486 = -5*m, 640 = 5*m - 5*r. Let f be (18/(-15))/((-5)/m). What is the units digit of f/(-25)*(-130)/3?
2
Suppose 0 = -3*a - 2*g - 2, 0*g + 1 = -2*a - g. Suppose a*w - 172 = -2*p + 4*w, -p = -3*w - 82. What is the units digit of p?
4
Let u be (18/(-15))/((-8)/20). Suppose -4*t + 4 = -u*t. Suppose 2*s = t + 48. What is the units digit of s?
6
Suppose 35 + 325 = 5*y. Let c be (-3)/2 - (8019/(-18))/9. Let s = y - c. What is the tens digit of s?
2
Let a be -1 - (0 - 0 - 1). Suppose -5*b + 128 - 38 = a. What is the units digit of b?
8
Let a(o) = -1 + o - 2*o**2 + 5 + o**2 + 2*o**2. What is the units digit of a(-5)?
4
Let d(a) = 5*a + 4. Let m = -40 + 55. What is the tens digit of d(m)?
7
Suppose 0 = -i - 2. Let z be 6 + 19 - (i - -3). Suppose -2*x + 61 - 10 = 3*r, -3*r = x - z. What is the tens digit of x?
2
Suppose -16*v + 9 = -13*v. Suppose -3*q = -2*i + 148, -7*i + 4*q = -v*i - 288. What is the units digit of i?
8
Suppose 0 = -2*b - 2*k + 129 + 7933, 0 = 3*b + 4*k - 12095. What is the hundreds digit of b?
0
Suppose 0*g + 240 = 5*g. Let k = -7 + g. What is the tens digit of k?
4
Let w(t) = 57*t**2 + 78*t + 6. What is the tens digit of w(-4)?
0
Suppose 623*s - 31707 = 610*s. What is the units digit of s?
9
Let x(k) = k**3 - 13*k**2 + 3*k + 19. Let u be x(13). Let h = u + 16. What is the units digit of h?
4
Let a be (-34)/(-12) - (-10)/60. Suppose 2*g + 4 = 2*i, -a*i + 4*g + 10 = 2. What is the tens digit of (-2)/(i + -1)*10?
2
Let a = 18 - 16. Suppose a*q = -2*m - 0*q + 90, 127 = 3*m - 5*q. What is the units digit of m?
4
Let t = -20 - -31. Suppose 0 = -q + 6*m - 7*m + 136, -m = 4*q - 541. Suppose t = -4*y + q. What is the tens digit of y?
3
Let o(h) = -91*h + 5. Let v(t) = 92*t - 4. Let c(d) = -2*o(d) - 3*v(d). Let k be c(-1). Suppose k = 2*r + 38. What is the tens digit of r?
2
Let i(c) = -22*c - 8. Let n be i(4). What is the units digit of (-24)/n - (-182)/8?
3
Suppose -c + 14 = 3*o + 1, -14 = -2*o - 2*c. Suppose o + 2 = 5*r. What is the tens digit of r*19 + -5 + 7?
2
Let l be (0 - 4) + 3 - -2. Let y(h) = 13*h**3 + h. What is the tens digit of y(l)?
1
Let y(h) = h**2 - 7*h + 8. Let a be y(6). Suppose 4 = 3*w - a. What is the units digit of (2 + -8)/(w/(-3))?
9
Let f(u) be the third derivative of -13/24*u**4 - 1/60*u**5 + 7*u**2 + 0 + 0*u + 3/2*u**3. What is the units digit of f(-12)?
1
Let y(c) = 26*c**2 + 2*c + 45. What is the units digit of y(-6)?
9
Let f be 1/1*5/(-1). Let c(u) = 1 + 22*u**2 - 18*u**2 + 0 + 3*u**3 - 5*u - 2*u**3. What is the units digit of c(f)?
1
Let i be ((-1365)/45)/(2/(-6)). Suppose -2*r = 4*c + 2*r - 332, 0 = c + 3*r - i. What is the tens digit of c?
7
What is the units digit of ((-4623)/92)/(50/(-24) - -2)?
3
Let l = 655 + -652. Let x = 1 + 8. Suppose -h - 3*k = -x, 5*h - 25 = -l*k - 2*k. What is the units digit of h?
3
L
|
{
"pile_set_name": "DM Mathematics"
}
|
the remainder when 116 is divided by b(-1).
23
Let m = 9 - 5. What is the remainder when m is divided by (-6)/(-84)*2 - (-20)/7?
1
Let p(z) = 57*z - 450. What is the remainder when 481 is divided by p(10)?
1
Suppose -682 = -2*d - 29*d. Let g(r) be the first derivative of r**3/3 - 23*r**2/2 + 42*r - 2. What is the remainder when 98 is divided by g(d)?
18
Suppose -2350 - 3150 = -125*s. What is the remainder when 2550 is divided by s?
42
Suppose 3*i + 713 = 224. Let l = i - -217. Calculate the remainder when l is divided by 15.
9
Let c(t) = 40*t + 4. Let b be c(-1). Let p = b + 162. Suppose 5*r - 4*f - p = -19, -2*f = -4. Calculate the remainder when r is divided by 9.
5
Let h = 69 - 66. Suppose -8*g + h*g = -100. What is the remainder when g is divided by 14?
6
Let q(w) = 30*w**2 - 29*w + 43. Calculate the remainder when 410 is divided by q(4).
3
Suppose -94304 - 52336 = -59*k - 129*k. Calculate the remainder when k is divided by 54.
24
Suppose n = 147 - 140. Calculate the remainder when 97 is divided by n.
6
Suppose 8*h = 7*h + 2*n + 12, -5*h + 33 = -n. Calculate the remainder when 101 is divided by 49 - h/(1 - 3).
49
Let a(f) = -f**3 + 19*f**2 + 12*f + 43. What is the remainder when a(8) is divided by 13?
11
Let j(u) = -32*u**3 - u**2 - u. Let v be j(2). Let g = 1967 - v. Calculate the remainder when (-4)/26 + -2 + g/39 is divided by 28.
27
Let r(o) = o**3 + 34*o**2 - 41*o - 147. Let a be r(-35). Suppose -4*z = 17*z - a. What is the remainder when 11 is divided by z?
2
Calculate the remainder when 1/((-36650)/(-18300) + (2 - 0 - 4)) is divided by 62.
56
Suppose -7872 = 2*h - 4*h - 2*h. Calculate the remainder when h is divided by 19.
11
Let f be 18258/238 + (4/14)/1. Suppose -7*l + f = -105. Let o(d) = 3*d**2 + 2*d - 6. What is the remainder when o(-7) is divided by l?
23
Let r = -1348 - -1585. Calculate the remainder when r is divided by 34.
33
Let y = 1941 - 1797. Suppose 4*i = -41 + 125. What is the remainder when y is divided by i?
18
Suppose 4*f - 354 = 1130. Let q = f - 172. Let b = q - 117. Calculate the remainder when b is divided by 14.
12
Suppose -379*o = -o - 257418. What is the remainder when o is divided by 3?
0
Suppose 0 = 2*d + 4, 83*d = 5*i + 82*d - 3352. Calculate the remainder when 672 is divided by i.
2
Suppose -38 + 13 = k - 5*q, 5*q = -25. Let g = -25 - k. What is the remainder when g is divided by 13?
12
Let d(l) = -86*l - 571. Calculate the remainder when 3550 is divided by d(-7).
16
Suppose 0 = -15*n + 20*n + 23*n - 19320. What is the remainder when n is divided by 139?
134
Let o = 1159 - 1054. What is the remainder when 262 is divided by o?
52
Suppose 0 = -4*n - 0*n + 28. Let w be (-20)/(-24)*6 - 26. Let i = w + 46. Calculate the remainder when i is divided by n.
4
Suppose -4*g = 2*k - 18, 3*k - g - 4*g - 49 = 0. What is the remainder when 190 is divided by k?
8
Let y be ((-1)/(-4))/((-3)/12). Let d(h) = h + 146*h**3 + 144*h**3 - 324*h**3. What is the remainder when d(y) is divided by 9?
6
Let w(c) = -2*c - 19. Let m be (22*12/8)/(-1). Calculate the remainder when w(m) is divided by 16.
15
Suppose 2*b = -4, 2*l - 192 = 2*b + 254. What is the remainder when 4196 is divided by l?
218
Calculate the remainder when 1041 is divided by 10*(-171)/(-270)*(-15)/(-1).
91
Let p(j) = -6*j - 7. Let u(v) = 10*v + 11. Let a(o) = 8*p(o) + 5*u(o). What is the remainder when 45 is divided by a(2)?
0
Let j = -139 + 144. Suppose 10*m - 7*m + j*a - 156 = 0, -2*a = -2*m + 88. Calculate the remainder when m is divided by 16.
15
Let k(x) = -x**3 + 59*x**2 + 377*x + 10. Let z = 13 + 10. What is the remainder when k(-6) is divided by z?
19
Suppose 9 = 2*c - 111. What is the remainder when 2/(-6) - (-860)/c is divided by 6?
2
Let i(u) = -19*u + 4. Let b be i(-4). Suppose -3*w + 371 = b. Suppose 3*l - 8*p + 9*p - w = 0, p = 1. What is the remainder when 94 is divided by l?
30
Suppose 3*m = -3, y + 6*m = 4*m - 6. What is the remainder when 43 is divided by 1*23*(y - (2 + -7))?
20
Let x(a) = a**3 - 3*a**2 - 49*a + 218. Calculate the remainder when 129 is divided by x(5).
14
Let w = -224 - -228. Suppose -16 = -5*p + w*j, 3*j = 6*j - 3. Calculate the remainder when 82 is divided by p.
2
Let b = 22 - 67. Let x = b + 43. Let r = x - -111. What is the remainder when r is divided by 14?
11
Let h(k) = 5*k**2 + 40*k + 37. What is the remainder when h(-21) is divided by 18?
16
Let c(a) = -a**3 - a**2 + 4*a - 1. Let f(z) = z**3 - 10*z**2 + 4*z - 42. Let j be f(10). Calculate the remainder when 1*(-23)/2*j is divided by c(-3).
3
Suppose -34*i + 4763 = -2071. Calculate the remainder when i is divided by 36.
21
Let r(l) = l**3 + 10*l**2 - 17*l - 16. Suppose 8*s - 346 = -98. Calculate the remainder when r(-11) is divided by s.
19
Let c = 349 + -347. Suppose -c*w + 61 = 3*o, 4*w = 8*w - 4*o - 132. Calculate the remainder when w is divided by 9.
5
Let f(r) = 92*r - 360. Let h be f(4). Suppose 0 = -2*d - 2*n + 46, 3*n - h*n = -d - 1. Let b = 7 + -2. What is the remainder when d is divided by b?
4
Suppose 90*f = 185*f + 188*f - 244229. What is the remainder when f is divided by 13?
5
Let u = 10761 - 10511. Calculate the remainder when u is divided by 132.
118
Suppose 0 = -d + 2*l - 3*l + 4, 4*d - 13 = -5*l. Let j = 49245 + -49164. What is the remainder when j is divided by d?
4
Let v(g) = -21*g**3 - 2*g**2 - 2*g - 1. Let a be (-1*6)/2 + 2. Calculate the remainder when (-1)/2 + 4266/36 is divided by v(a).
18
Calculate the remainder when 518 is divided by 506/2783 - 4638/(-22).
96
Suppose -5*s = -14*s. Let b = s + 22. What is the remainder when 153 is divided by b?
21
Let u(z) = z**3 + 9*z**2 + 11*z + 75. Let x be u(-8). Suppose 3*j = 3*d + x, -4*j - j - 4*d = -130. Calculate the remainder when 76 is divided by j.
10
Suppose 3*a = 3*l - 27 + 639, 5*l = a - 184. Suppose -12*z + a = -z. What is the remainder when 55 is divided by z?
17
Suppose -4*y - 4 + 5 = -3*w, -2*w + 26 = 4*y. Suppose 4*u = 4*d - 191 - 261, 4*u - y = 0. Calculate the remainder when d is divided by 35.
9
Let z(a) = 29*a**2 - a. Let g(b) = -2*b**3 + 48*b**2 - 195*b - 38. Calculate the remainder when g(6) is divided by z(-1).
28
Suppose 2*z + 0*z - 3*i - 2286 = 0, i - 2 = 0. Calculate the remainder when z is divided by 37.
36
Suppose 2*p + 54*g - 52*g = 2342, 3*g + 18 = 0. Calculate the remainder when p is divided by 20.
17
Let p(l) = 26*l**2 + 81*l + 160. Calculate the remainder when 1333 is divided by p(-2).
7
Let y(w) = -76*w - 24. Let o be y(-9). What is the remainder when 118 is divided by (-4)/5 - o/(-75)?
6
Let q be 3/(-9) - (-22)/(-6). Calculate the remainder when (-2)/7 + (-954)/(-7) - q is divided by 36.
32
Let d = 358 + -271. What is the remainder when 156 is divided by d?
69
Suppose 4*l - 4 = 0, -4*p - 4*l = -8*l - 16. Suppose -13*h + 5*m = -10*h - 64, p*m = -5*h + 40. What is the remainder when 42 is divided by h?
3
Let o(x) = -1423 + 4*x + 1416 + 36*x**2 + 2*x + 2*x. Suppose 7*t + 1 = -u + 4*t, 2*u - t - 33 = 0. Calculate the remainder when o(1) is divided by u.
9
Let y = 301282 - 301139. Suppose 2*a + 156 = 2*j + j, -5*a = -j + 65. Calculate the remainder when y is divided by j.
43
Let w(s) = s**2 + 12*s + 11. Let t be w(-11). Suppose -6*z + 140 + 292 = t. What is the remainder when z is divided by 11?
6
Suppose -17*r = -28*r + 4147. What is the remainder when 1136 is divided by r?
5
Let g(s) = 3*s + 48. Let h be g(-14). Suppose 0 = 3*l - h + 18. Let v(c) = 2*c + 17. Calculate the remainder when v(l) is divided by 2.
1
Suppose 3*a = -6*y + 22*y + 1577, 3*a - 1724 = -5*y. What is the remainder when a is divided by 139?
7
Let p = 93 - 61. Calculate the remainder when p is divided by ((-6)/(-33) + (-2166)/418)/((-4)/4).
2
Suppose -3*i = -3*p - 5256, -461*i + 462*i + 2*p = 1764. What is the remainder when i is divided by 8?
4
Let v(s) = 560*s**2 - 523*s + 8. Calculate the remainder when (-2)/(-5) - (-838)/5 is divided by v(1).
33
Let y be (6/(48/982))/(2/8). Let h = -362 + y. Calculate the remainder when h is divided by 52.
25
Let f be (0*2/(-4))/(-3). Suppose y + f*l = -2*l + 61, 5*y - 327 = l. Calculate the remainder when 194 is divided by y.
64
Suppose 24 = 7*f - 11*f. Let m(l) = -5*l**3 - 3*l**2 + 11*l + 14. Let w be m(f). Calculate the remainder when w/24 + 1/(-3) is divided by 8.
6
|
{
"pile_set_name": "DM Mathematics"
}
|
ence hzs.
3/455
Four letters picked without replacement from {f: 4, k: 6}. What is prob of sequence fkfk?
1/14
What is prob of sequence fff when three letters picked without replacement from fftffttftfffffftttf?
220/969
What is prob of sequence oy when two letters picked without replacement from {g: 3, j: 8, o: 2, y: 6}?
2/57
Three letters picked without replacement from {b: 2, v: 1, g: 3, t: 6, c: 1, p: 2}. Give prob of sequence pgt.
6/455
What is prob of sequence ttht when four letters picked without replacement from ttttthtt?
1/8
Calculate prob of sequence nmp when three letters picked without replacement from {w: 2, n: 3, y: 1, p: 1, m: 4}.
2/165
Three letters picked without replacement from jsjfusjsjbffsp. What is prob of sequence fuf?
1/364
What is prob of sequence zh when two letters picked without replacement from pzhh?
1/6
Four letters picked without replacement from pppppppppp. What is prob of sequence pppp?
1
What is prob of sequence dx when two letters picked without replacement from xgxdd?
1/5
Two letters picked without replacement from {i: 2, x: 2, e: 4, l: 2, o: 2}. What is prob of sequence oi?
1/33
Two letters picked without replacement from ajcjaaaxanaajx. What is prob of sequence jn?
3/182
What is prob of sequence uou when three letters picked without replacement from gggogoxuxxguooggg?
1/510
Calculate prob of sequence icf when three letters picked without replacement from cittrccfc.
1/126
Two letters picked without replacement from {u: 2, r: 10, s: 3, p: 5}. What is prob of sequence ps?
3/76
Calculate prob of sequence bt when two letters picked without replacement from tyytltlzzbytbtyttl.
7/153
Four letters picked without replacement from eeeeeettee. Give prob of sequence eeee.
1/3
Four letters picked without replacement from vnppvvpp. Give prob of sequence vpvn.
1/70
Four letters picked without replacement from aaauaaaaaaaaaaaaaaaa. Give prob of sequence uaaa.
1/20
Calculate prob of sequence lz when two letters picked without replacement from olzjlbzlbjbeejl.
4/105
What is prob of sequence utt when three letters picked without replacement from {z: 2, u: 2, t: 2}?
1/30
Three letters picked without replacement from {f: 2, d: 4, k: 2, s: 3, h: 1}. What is prob of sequence shd?
1/110
Three letters picked without replacement from {t: 2, c: 5, n: 9, k: 2}. Give prob of sequence kck.
5/2448
Two letters picked without replacement from bbqqhhhq. Give prob of sequence hb.
3/28
Three letters picked without replacement from zklzzfx. What is prob of sequence lfz?
1/70
Calculate prob of sequence ku when two letters picked without replacement from uukkkkkukkkk.
9/44
Calculate prob of sequence cdpg when four letters picked without replacement from {x: 2, g: 3, c: 1, d: 3, p: 3, a: 4}.
9/14560
What is prob of sequence ke when two letters picked without replacement from ttektetetk?
1/15
What is prob of sequence dt when two letters picked without replacement from {m: 1, r: 5, t: 1, x: 7, d: 5}?
5/342
Calculate prob of sequence hf when two letters picked without replacement from {o: 6, c: 1, h: 1, a: 1, f: 4}.
1/39
Three letters picked without replacement from {y: 1, t: 3, k: 4, d: 2}. What is prob of sequence ktt?
1/30
Calculate prob of sequence gy when two letters picked without replacement from gccgzyyyyycg.
5/44
What is prob of sequence ycwk when four letters picked without replacement from {k: 1, w: 3, s: 3, c: 2, x: 1, y: 2}?
1/990
Calculate prob of sequence ut when two letters picked without replacement from hunte.
1/20
What is prob of sequence zd when two letters picked without replacement from iiiddiioipppz?
1/78
What is prob of sequence fll when three letters picked without replacement from {k: 3, l: 3, t: 7, f: 2}?
2/455
Four letters picked without replacement from hleeepl. What is prob of sequence plhl?
1/420
What is prob of sequence iij when three letters picked without replacement from {p: 1, n: 1, j: 1, i: 2, s: 3, w: 11}?
1/2907
Four letters picked without replacement from {a: 1, c: 5, x: 7, m: 1, d: 1}. Give prob of sequence dmxx.
1/780
What is prob of sequence ggb when three letters picked without replacement from sblbblllgbbbg?
1/143
Calculate prob of sequence puf when three letters picked without replacement from {f: 2, u: 4, s: 4, p: 5}.
4/273
Four letters picked without replacement from vvvvvvv. What is prob of sequence vvvv?
1
What is prob of sequence wptt when four letters picked without replacement from {w: 5, p: 4, t: 7}?
1/52
Two letters picked without replacement from mnmnmnnnnnnnnmnmnn. Give prob of sequence mm.
10/153
Three letters picked without replacement from yvfqfeeepfpfqe. What is prob of sequence eve?
1/182
Four letters picked without replacement from ydyyyyyyyyyyyyy. What is prob of sequence yydy?
1/15
Calculate prob of sequence knb when three letters picked without replacement from ktbnuktuv.
1/252
Four letters picked without replacement from qacyccca. What is prob of sequence qycc?
1/140
Three letters picked without replacement from {u: 2, z: 1}. Give prob of sequence zuu.
1/3
What is prob of sequence axh when three letters picked without replacement from ahhxxrhhhhhah?
8/429
What is prob of sequence kwtd when four letters picked without replacement from lldkttzwz?
1/1512
Calculate prob of sequence xxxx when four letters picked without replacement from {m: 6, x: 7}.
7/143
Four letters picked without replacement from {f: 2, k: 1, a: 1}. Give prob of sequence fffk.
0
Three letters picked without replacement from oooooooeoccoooooo. What is prob of sequence coc?
7/1020
Calculate prob of sequence hg when two letters picked without replacement from lhgheqooeegl.
1/33
Three letters picked without replacement from {j: 2, c: 5, e: 1, p: 5, k: 1, g: 2}. Give prob of sequence keg.
1/1680
Three letters picked without replacement from xxaoxooxvxvxo. Give prob of sequence vxv.
1/143
Calculate prob of sequence fm when two letters picked without replacement from fkqkfqmkqmfkqgkq.
1/40
Two letters picked without replacement from {i: 5, r: 1, q: 3, d: 6, z: 1, y: 3}. Give prob of sequence qq.
1/57
Calculate prob of sequence rrtt when four letters picked without replacement from {t: 6, r: 12}.
11/204
What is prob of sequence bg when two letters picked without replacement from {g: 2, b: 7}?
7/36
Three letters picked without replacement from {n: 2, g: 1, q: 5, t: 3, p: 7}. Give prob of sequence ngq.
5/2448
Four letters picked without replacement from {k: 4, v: 1, h: 3, l: 3}. Give prob of sequence hllh.
1/220
Calculate prob of sequence if when two letters picked without replacement from fiifgiffg.
1/6
Calculate prob of sequence jm when two letters picked without replacement from {n: 1, j: 1, g: 2, u: 1, b: 1, m: 1}.
1/42
Calculate prob of sequence aa when two letters picked without replacement from aasaaassaaaasaasaa.
26/51
What is prob of sequence xqp when three letters picked without replacement from pxpspspqpc?
1/144
Calculate prob of sequence ala when three letters picked without replacement from {a: 5, l: 14}.
140/2907
Calculate prob of sequence zss when three letters picked without replacement from {s: 2, z: 1, h: 1, k: 1, v: 1, q: 1}.
1/105
What is prob of sequence jw when two letters picked without replacement from jldjw?
1/10
What is prob of sequence kf when two letters picked without replacement from {f: 2, k: 2, o: 12, d: 4}?
1/95
Two letters picked without replacement from xpkppppee. Give prob of sequence px.
5/72
Four letters picked without replacement from {u: 5, o: 11}. What is prob of sequence uouu?
11/728
Three letters picked without replacement from ziiziyiziiiiiiyiizzi. Give prob of sequence zyi.
13/684
Calculate prob of sequence ez when two letters picked without replacement from {e: 1, y: 2, b: 1, o: 10, z: 1, u: 5}.
1/380
Three letters picked without replacement from {m: 2, c: 1, x: 1, b: 1}. Give prob of sequence mbx.
1/30
Four letters picked without replacement from ikiikiikki. Give prob of sequence kkki.
1/35
Calculate prob of sequence kep when three letters picked without replacement from peeek.
1/20
Calculate prob of sequence qrp when three letters picked without replacement from prprpppppppppqpprppp.
2/285
Calculate prob of sequence ppt when three letters picked without replacement from epppt
|
{
"pile_set_name": "DM Mathematics"
}
|
c*w wrt c?
226*r**2*w**2 - 4*r**2 - 84
Find the third derivative of 31464*a**5 - 2*a**2 + 12*a - 31.
1887840*a**2
What is the third derivative of -40186*y**3 + 16434*y**2 wrt y?
-241116
Find the third derivative of i*p**6 - 17265*i*p**4 - 2*i - 3*p**2 + 1722*p - 1 wrt p.
120*i*p**3 - 414360*i*p
Find the first derivative of -4*f**2*x - 18217*f**2 - 2*f*x**2 + 3*f + 15*x**2 - 153*x wrt x.
-4*f**2 - 4*f*x + 30*x - 153
Find the second derivative of -4*m**3 - 9481*m**2 - 5*m - 464 wrt m.
-24*m - 18962
Find the second derivative of -b**2*j**2 - b**2*j - 2*b**2 - 28365*b*j**2 - 491*j - 1 wrt j.
-2*b**2 - 56730*b
Find the second derivative of -1764713*c**3 - 10*c - 43603 wrt c.
-10588278*c
Find the third derivative of 8911*v**4 + v**3 - 9*v**2 + 482*v - 18.
213864*v + 6
What is the derivative of 69930*j*m**3*v - 17*j*m**3 - 2*j*m**2 + 666*j*m - 2*j*v wrt v?
69930*j*m**3 - 2*j
Find the first derivative of -2717156*v - 3392634.
-2717156
Find the second derivative of 255854*t**2*x**2 - 256*t**2 - t*x + 184 wrt x.
511708*t**2
What is the third derivative of -502323*x**3 - 296312*x**2?
-3013938
Differentiate -149726*c**2*h**2 - 2054*h**2 + 4 with respect to c.
-299452*c*h**2
Find the first derivative of -1036793*z**3 - 1542675.
-3110379*z**2
Find the second derivative of 170*h**3 + 275*h**2 + 39391*h + 2 wrt h.
1020*h + 550
Find the third derivative of -347*c**5 - 621*c**4 - 2*c**3 - 2937*c**2 - 128 wrt c.
-20820*c**2 - 14904*c - 12
Find the second derivative of -523164*c**2*j**2 - 424*c**2*j - 52*c**2 - j wrt j.
-1046328*c**2
What is the second derivative of -2359668*i**2 + 1905045*i wrt i?
-4719336
Differentiate 200616*t + 426361 wrt t.
200616
Differentiate -12562*q**2*w**2 - q*w**2 - 2*q*w + 7*w**2 - 5*w - 2886 wrt q.
-25124*q*w**2 - w**2 - 2*w
Differentiate -2645*f*i**2 + 33207*i**2 wrt f.
-2645*i**2
What is the derivative of -41*a*i*s**2 + 1160*a*i - 22603*a*s**2 - 2*a*s + 4*s**2 wrt i?
-41*a*s**2 + 1160*a
Find the third derivative of 4*y**6 - y**5 + 104*y**4 - 159869*y**2 wrt y.
480*y**3 - 60*y**2 + 2496*y
Find the second derivative of 2969*o**3*r**4 + 32*o**3*r - 5*o**3 - 4*o**2*r**5 - 3*r wrt r.
35628*o**3*r**2 - 80*o**2*r**3
Find the first derivative of 895*c**2 - 467*c + 5514869 wrt c.
1790*c - 467
Find the second derivative of -8232*c*z**3 - 1724*c - 2*z**3 + 3*z + 4 wrt z.
-49392*c*z - 12*z
What is the derivative of 17*j**3*z - 786*j**3 + j*u + 22*u*z + 1365 wrt j?
51*j**2*z - 2358*j**2 + u
Find the first derivative of 24*q**2 - 16*q - 35912.
48*q - 16
What is the third derivative of -18*i**6*q + 1233*i**5*q + i**2*q - 1149*i**2 - i*q - 9*i wrt i?
-2160*i**3*q + 73980*i**2*q
What is the second derivative of -2411322*h*t**2 + 2*h*t - 4*h + 1915*t + 4 wrt t?
-4822644*h
Find the first derivative of -3*i**2*m*y - 11*i**2*y + 3214*i*m*y - i*m - 169*i*y - 2*m - 11*y wrt m.
-3*i**2*y + 3214*i*y - i - 2
What is the first derivative of 5151482*r*u**2 + 369671*r wrt u?
10302964*r*u
What is the third derivative of 2*y**4 + 88666*y**3 + 1027162*y**2 wrt y?
48*y + 531996
Differentiate 97933*r - 656392 wrt r.
97933
Find the third derivative of -922*h*u**3 + 892673*h*u**2 + 408*u**3 wrt u.
-5532*h + 2448
Find the third derivative of -178*c**5 + 2*c**4 - 7*c**3 + c**2 + 38*c - 725 wrt c.
-10680*c**2 + 48*c - 42
What is the third derivative of 1980624*u**3 - u**2 + u + 33852?
11883744
What is the third derivative of -267758*i**4 - 20703*i**2 wrt i?
-6426192*i
Differentiate -189*m**3 - 573*m - 139428.
-567*m**2 - 573
Find the third derivative of g*k**4 - 558*g*k**3*s + 21*g*k*s - k**4*s + k**2*s - 27*k**2 + 31*k*s wrt k.
24*g*k - 3348*g*s - 24*k*s
What is the third derivative of -1894511*q**5 - 4933829*q**2 wrt q?
-113670660*q**2
What is the third derivative of 14279*a**5 + 70012*a**2 wrt a?
856740*a**2
What is the third derivative of -757*f**3*h**3 + 237*f**3*h*n**3 - 3*f**2*h**3*n + f**2*h**2*n**2 - 13*f**2*h*n**2 - 13*f*h**2*n**2 - 34*h**2*n - h*n**3 wrt f?
-4542*h**3 + 1422*h*n**3
Find the first derivative of 592067*q**2*r - 167*r + 6139 wrt q.
1184134*q*r
Find the third derivative of 22*n**2*o**4 - 2*n**2*o**2 + n*o**2 + 46*n*o - 838*o**3 - 8*o**2 wrt o.
528*n**2*o - 5028
Find the second derivative of 3*h**3*u*y**2 + 51402*h**3*y**3 + 584*h*u*y**3 + 113*h*u*y**2 wrt h.
18*h*u*y**2 + 308412*h*y**3
Differentiate -3*y**2 + 104098*y + 2745603 with respect to y.
-6*y + 104098
What is the second derivative of -2*j**2*x**2 + 153*j**2*x + 51*j**2 - 28029*j*x**2 wrt j?
-4*x**2 + 306*x + 102
What is the second derivative of -2*m**5 + 14*m**4 + 1468*m**2 + 2*m - 179320 wrt m?
-40*m**3 + 168*m**2 + 2936
Find the third derivative of 185060*c**3*p - c**2 - 161*c*p + 47*c + 13 wrt c.
1110360*p
What is the second derivative of -50775*a**2*f*v**2 - 20*a**2*f*v - 11*a*f - a*v + f*v**2 + 2*f*v + 4*f wrt v?
-101550*a**2*f + 2*f
What is the third derivative of 2433*d**4*g**2 + 505*d**3*g**3 - 2*d**2*g**3 + d**2*g - 2*g**3 + 2988 wrt d?
58392*d*g**2 + 3030*g**3
What is the third derivative of -204395*t**6 + t**5 + 982667*t**2 wrt t?
-24527400*t**3 + 60*t**2
What is the second derivative of -8764*l**4 + 4*l**3 + 47851*l?
-105168*l**2 + 24*l
Differentiate 31*u**3 + 5201*u*x**3 + 8555*x**3 - 25*x with respect to u.
93*u**2 + 5201*x**3
Differentiate 830*q**3*w**2 - 163*q**3 + 119*w**2 - w + 541 wrt q.
2490*q**2*w**2 - 489*q**2
Find the first derivative of 41*a**2 - 1292*a - 54762 wrt a.
82*a - 1292
Differentiate 650*n**4 + 31*n**3 + 4*n**2 - 3642924.
2600*n**3 + 93*n**2 + 8*n
Find the second derivative of 11*f*g**3 + 40*f*g**2 - 278*f + g**5 - 9*g**3 - 93*g wrt g.
66*f*g + 80*f + 20*g**3 - 54*g
Find the first derivative of 2*f**2 - 958*f - 12971 wrt f.
4*f - 958
What is the third derivative of 602989*j**3 + 629*j**2 + j - 1 wrt j?
3617934
What is the first derivative of 11*a**4 - 4834*a**2 + 965446 wrt a?
44*a**3 - 9668*a
What is the third derivative of 18861*r**3 + 174*r**2 + 922?
113166
What is the derivative of 354537*i + 254151?
354537
What is the third derivative of 27277*r**5 - 117623*r**2 wrt r?
1636620*r**2
Find the third derivative of 570858*a**3*p + 1331*a**2*p + 203*p wrt a.
3425148*p
Find the third derivative of -56193*r**6 + 33084*r**2.
-6743160*r**3
What is the second derivative of -472394*p**2 - 161*p + 10394 wrt p?
-944788
Find the first derivative of 138*w**3 + 5439*w**2 + 1543693.
414*w**2 + 10878*w
What is the second derivative of -53*a*c**2*d**2 + 2842*a*c**2*d + 2*a*c**2 + 73*a*c*d**2 + 3*a*d**2 + 55*c**2*d wrt d?
-106*a*c**2 + 146*a*c + 6*a
What is the third derivative of -5*k**6 - 2384*k**4 + k**3 + 21*k**2 + 2154*k + 1 wrt k?
-600*k**3 - 57216*k + 6
Differentiate 465*v**2 - 24*v - 87852 with respect to v.
930*v - 24
Find the first derivative of -29285*u**2 - 2*u - 87654 wrt u.
-58570*u - 2
Find the third derivative of 1168400*b**3 - 260193*b**2 wrt b.
7010400
Differentiate 3302798*g**2*o - 12*o - 21975 wrt g.
6605596*g*o
What is the second derivative of -105404*u**2 - 73665*u wrt u?
-210808
Find the second derivative of -478146*j**3 - 77642*j wrt j.
-2868876*j
Differentiate -2*a**2*s + 3*a**2 - 3*a*s**2 - 2*s**2 - 3926*s + 21636 wrt s.
-2*a**2 - 6*a*s - 4*s - 3926
Find the second derivative of 1061783*q**2 + 3119899*q wrt q.
2123566
Find the third derivative of -10462*l**4 - 168*l**2 - 71*l wrt l.
-251088*l
Differentiate 496197*l**3 + 497472.
1488591*l**2
What is the third derivative of 231*d**3*l**2 + 304*d**3*r - 8*d**2*l*r + 5*d**2 + 69*d*l**2 - 2*r wrt d?
1386*l**2 + 1824*r
Find the second derivative of j*x**4 + 2*j*x**3 + 31131*j*x + 180672*x**3 - 2*x wrt x.
12*j*x**2 + 12*j*x + 1084032*x
What is the third derivative of 4264*g**3*t**2 - 433*g**2 - 4*t**2 wrt g?
25584*t**2
Find the first derivative of 273865*m**3 - 127143.
821595*m**2
Find the third derivative of -3552*j*r**3 - 192*j*r - 6*j - 5*r**2 - 1 wrt r.
-21312*j
Find the first derivative of -318189*w**2 + 613099.
-636378*w
What is the derivative of 8*l**3 - 158*l**2 + 50*l + 219011 wrt l?
24*l**2 - 316*l + 50
What is the third derivative of -6170098*b**4 - 7*b**2 + 2*b - 51689?
-148082352*b
What is the derivative of 487155*p**3 - 2*p**2*q**2 - 2494*q**2 - 363 wrt p?
1461465*p**2 - 4*p*q**2
What is the second derivative of 2584304*y**4 + 3417412*y?
31011648*y**2
Find the third derivative of 23
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) 12 (b) -8 (c) 0.4 (d) -29 (e) 1 (f) 2/41
e
Which is the nearest to -0.1? (a) -8 (b) 12/13 (c) -4741
b
What is the closest to 168 in -49, 0, -3, 10/9?
10/9
What is the closest to 0 in 4054, 3/5, -413?
3/5
What is the closest to -1 in 0.3, 5054, 12, -0.5, 0.5?
-0.5
What is the nearest to 18/23 in -2, 3, -10, 0.04?
0.04
Which is the nearest to -0.1? (a) -22 (b) 1/3 (c) -0.09 (d) -0.4 (e) 297
c
What is the nearest to -851 in -50, 103, 1?
-50
Which is the closest to 1/4? (a) -2/5 (b) 1.4 (c) 13 (d) 14174 (e) 2/3
e
Which is the nearest to 1? (a) -3 (b) 4 (c) -0.2 (d) -2240/1613
c
What is the nearest to -14 in -0.08, 308466, 0.3?
-0.08
Which is the closest to 1? (a) 4/5 (b) 1/4 (c) -4 (d) 7 (e) 3/10 (f) 2/5495
a
Which is the closest to -4545.08? (a) -0.01 (b) -0.5 (c) -0.06
b
Which is the nearest to 1? (a) -1/4 (b) 0.03996 (c) 4342
b
What is the nearest to 8/9 in -2, 5, -21.5, -4, 17/5?
17/5
What is the nearest to 2/5 in -2/11, -2/19, 5, 3, 448?
-2/19
What is the closest to 2 in -4953, 2/195, 8/3?
8/3
What is the nearest to 27 in -6/2539, 0.6, 0.2, -2/585?
0.6
Which is the nearest to -15? (a) -3/4 (b) 5/288 (c) -1.2 (d) -1/3 (e) 5
c
What is the closest to 2/3 in 3177, -1/5, -76?
-1/5
What is the closest to -1 in 3, 2/17, 448, 46, 81?
2/17
Which is the nearest to 1/2? (a) 1/11 (b) 6/11 (c) -46 (d) -2/9 (e) -5 (f) 52
b
Which is the nearest to 2? (a) 9409 (b) 0.78 (c) -3/7 (d) 5
b
What is the nearest to -1/3 in 3, -74, 1571?
3
What is the closest to -2342 in -1/4, 3417, 5?
-1/4
Which is the closest to -3/5? (a) -23 (b) 0 (c) -22981
b
What is the closest to 0.3 in 0.39, 0.5, 6388, -4?
0.39
What is the closest to 3/8 in -0.1, -28, 358, 1/5, 1/34?
1/5
What is the closest to -1 in -70, 2/13, 8/3373?
8/3373
Which is the nearest to 68800? (a) 5 (b) -1 (c) 2/3
a
What is the closest to -2/5 in -86, 0.128822, 3/7, 2?
0.128822
Which is the nearest to 0? (a) 84/7123 (b) 0 (c) -0.4
b
What is the closest to -1/7 in -3, 24076, -1, 1?
-1
Which is the nearest to 0? (a) 0.107 (b) 41 (c) 0.3 (d) 6 (e) 1
a
Which is the closest to 0.7? (a) -4/5 (b) 4 (c) 9 (d) 0 (e) 1
e
What is the nearest to -3 in 1264.87, -1/5, -2, 0.4, -3?
-3
Which is the closest to 18/19? (a) -1 (b) 25 (c) -2234
a
Which is the closest to -0.03? (a) -24 (b) 7/4 (c) 0.5 (d) -5.6 (e) 0.23
e
Which is the nearest to 134? (a) 2 (b) 1/5 (c) 0.041116
a
What is the closest to 0 in -3/4, -0.1, -2707027?
-0.1
What is the closest to 4 in 20/3, 1, 301, -0.2, 0.05, 2/11?
20/3
What is the nearest to -1 in -0.5, -36.627, 1.8?
-0.5
What is the closest to 28 in -142, 5, 10, 3/7, -2?
10
What is the closest to -0.1 in 0.09, -19, -11/4, 18, 2, 0.07?
0.07
What is the nearest to 9 in 136, 1499, 0.04?
0.04
Which is the closest to -4? (a) 8 (b) 0.08 (c) 5 (d) -6 (e) -0.07 (f) -5
f
Which is the nearest to 0.1? (a) 8 (b) 14/165 (c) 0.01888 (d) 2
b
Which is the closest to 2/5? (a) -5 (b) -237 (c) -0.935 (d) -2/3 (e) 2/7
e
Which is the nearest to -0.1? (a) -8/23 (b) 0.3 (c) 1 (d) -1.1 (e) -5 (f) 114.8
a
Which is the nearest to 2/25? (a) 1 (b) -2 (c) 3.5 (d) -6 (e) 2/9
e
What is the closest to -5/4 in 3/112, 0.5, 7/5, 2, 13?
3/112
What is the nearest to 1 in 0.4, -24.4, -0.5, 0.2, 6/209?
0.4
Which is the closest to -1/3? (a) -4/7 (b) 73519 (c) 0
a
Which is the nearest to 6? (a) -5/2 (b) -1 (c) -0.09 (d) -9.6 (e) -2/5
c
Which is the nearest to 0.03? (a) 0.2 (b) 5 (c) 0.5 (d) -163.5 (e) -3
a
What is the closest to -34 in 0.4, -6, 1, 0.1, 75/4?
-6
Which is the closest to -0.1? (a) 1 (b) 1.97 (c) 3/3832
c
What is the closest to 2/19 in -0.041, 5, -87, -0.3?
-0.041
Which is the closest to 2? (a) 482 (b) -0.016 (c) 19
b
What is the nearest to -0.1 in -3921, -1/3, 0.3, 0.2, -154, -8/7?
-1/3
What is the nearest to -8/5 in -3, -1, 3, 6.7168, 2/5?
-1
Which is the nearest to -5? (a) -7 (b) -13/6 (c) -0.03 (d) -8 (e) 1.1
a
What is the closest to 48005 in -1/10, -0.2, -2, -2/9, -1?
-1/10
What is the closest to 1 in 0.1, 3, 19, -7.1946, 0.2?
0.2
What is the nearest to 1/6 in 0.09, 0.2, -159384?
0.2
Which is the nearest to -1? (a) 1 (b) -1 (c) 4 (d) -46 (e) -6.5 (f) 173
b
What is the nearest to -2 in -10, 7, -1, -0.099605?
-1
What is the nearest to -1/4 in 840, 1/6, -628?
1/6
Which is the nearest to 0.1? (a) -5 (b) 1/8539 (c) 4 (d) 5 (e) -2.9
b
Which is the closest to -1? (a) -2 (b) -1/8 (c) 42 (d) 5282 (e) 1/26
b
What is the closest to -1.7 in -45/44, -6, 3?
-45/44
What is the nearest to -1/4 in 2/1201, -2/9, -12713?
-2/9
What is the nearest to 0 in 187263, -1, -4, 2/9, 5?
2/9
Which is the nearest to -0.198? (a) -2/7 (b) 0 (c) -0.1364 (d) 0.4 (e) 0.1
c
Which is the closest to 3/4? (a) -356 (b) -1 (c) -3/11 (d) 7
c
Which is the nearest to 2? (a) -3 (b) -429/10 (c) 2/7 (d) 1/4 (e) -91
c
Which is the nearest to 21? (a) -0.7 (b) 71 (c) 175
a
Which is the nearest to -2? (a) 2 (b) 0.2 (c) -0.034 (d) 2/11 (e) 82/5
c
What is the closest to 0.2 in -2/9, -44, 6, 4/5, -12?
-2/9
What is the nearest to 606 in 16, -0.8, 536?
536
What is the closest to 2/3 in 0, 707/144, -1.5?
0
What is the closest to -9/1348 in 3, -1/4, -0.3, -0.04?
-0.04
What is the nearest to 584.7 in 1/8, -274, 4?
4
Which is the closest to -14? (a) 0.009 (b) 78 (c) 2/9 (d) -2
d
Which is the nearest to -0.1? (a) -150 (b) 3/5 (c) 4 (d) -2
b
Which is the nearest to -8659? (a) 0.1 (b) 7 (c) -8
c
What is the closest to -627 in -0.068, 2, -4?
-4
What is the closest to 0 in -1/6, -17013, 28?
-1/6
What is the closest to 1/2 in -0.31, -779, 0.3, 2/7, -118?
0.3
Which is the nearest to 0? (a) 0.24 (b) 28 (c) -66 (d) -1 (e) 1/11
e
What is the nearest to -0.98 in -2/185, -0.4, -1/2?
-1/2
Which is the closest to -1? (a) -0.1 (b) 3 (c) -3/2 (d) 2548226
c
Which is the nearest to -2/13? (a) -0.5 (b) -229 (c) -1/4 (d) 79
c
What is the closest to 0 in 1/5, 2, -12/5, -26891?
1/5
Which is the closest to 1? (a) -74 (b) 8.84 (c) 5 (d) 0.5 (e) 1/7
d
What is the closest to -41 in -344/13, -1/2, -0.051?
-344/13
Which is the closest to 0.3? (a) -1697 (b) 2/15 (c) 17.4
b
What is the nearest to -4 in 0.5, -2, 4, -18, -0.5, 20?
-2
Which is the closest to -4806? (a) 0.5 (b) -5 (c) -0.5 (d) 107 (e) 4
b
What is the nearest to 2/5 in -0.38, -9, -5, 4, 2?
-0.38
What is the closest to 8 in -404/3, 1/6, -1/4, 0, 0.27, 0.2?
0.27
What is the closest to 0.1 in -4, 725, -242, 1, 3/2, 2?
1
What is the closest to -2/7 in 4, -28, -14.6, 0.5266?
0.5266
Which is the closest to 0.1? (a) -45/8 (b) 1/6 (c) 143767
b
What is the closest to -1 in -0.05, 2/37, 4961?
-0.05
What is the nearest to -1 in 4/7, 2/559, 0.1, 0.9, 15?
2/559
Which is the closest to -6? (a) -0.705 (b) -2.3 (c) 23
b
Which is the nearest to -278/303? (a) -1 (b) -21 (c) 2 (d) 1 (e) 4
a
What is the closest to 2 in 3/16, -2/13, -1/5, -1/11, -3.45?
3/16
What is the closest to -1 in -0.5, 11, 24, -10, 0?
-0.5
What is the closest to -0.042254 in -1.3, -0.1, -0.21, 5?
-0.1
What is the closest to -1 in -10905, -1/24, 1, 4?
-1/24
What is the nearest to -0.56 in 2, 2/77, -3, 4.3?
2/77
What is the closest to -1 in 1, 0.1, 206756, -0.2?
-0.2
What is the nearest to -110 in -0.3, -0.5, -2/641?
-0.5
Which is the closest to -129? (a) -3/2 (b) -2.4 (c) -2/2287
b
What is the closest to -1/2 in -2/413, -9, 1/7?
-2/413
Which is the closest to 0? (a) 2/1045 (b) -1/7 (c) 2/21 (d) -2/17 (e) 5 (f) 0.83
a
Which is the closest to -160? (a) -0.09 (b) -2/11 (c) 6
b
What is the closest to 1/2 in 0.833, -0.4, 28?
0.833
What is the closest to 0.1 in -5, 78, 5, -14035, -0.2?
-0.2
What is the closest to -2271 in -5, 1, 1.22?
-5
What is the nearest to 0.3 in 0, -8.7, 4, -215/2, -13?
0
What is the closest to -0.3 in 3, 5, 9, -75?
3
What is the closest to -2 in -3/8, -0.98, -64/15, 0.4?
-0.98
What is the closest to -13 in -0.12531, -4/9, 1.5?
-4/9
Which is the nearest to -86/9? (a) 6 (b) 3/4 (c) 0.847 (d) -0.5 (e) 7/2
d
Which is the nearest to -0.29? (a) 0.1 (b) 19 (c) -13/8
a
What is the nearest to -1416 in 3/5, 12, 48?
3/5
What is the nearest to -5 in -0.0834, -1/5, 3/2, 4?
-1/5
Which is the closest to 59411? (a) -0.5 (b) -5 (c) -4 (d) -36
a
What is the closest
|
{
"pile_set_name": "DM Mathematics"
}
|
is prob of picking 1 w and 1 b when two letters picked without replacement from bwpbibmimimwmxw?
3/35
Four letters picked without replacement from uuvuv. Give prob of picking 3 u and 1 v.
2/5
What is prob of picking 1 e and 2 x when three letters picked without replacement from xxeexexexxexx?
70/143
Four letters picked without replacement from kppzpwpkwzwpjknjkzkk. What is prob of picking 2 k, 1 j, and 1 n?
2/323
Three letters picked without replacement from xexjxxexejxehmxjxjx. Give prob of picking 1 x, 1 m, and 1 h.
3/323
Two letters picked without replacement from {r: 1, l: 2, o: 4, e: 1}. Give prob of picking 1 l and 1 e.
1/14
Four letters picked without replacement from {t: 2, x: 8, n: 4, h: 2}. Give prob of picking 2 h and 2 x.
1/65
Four letters picked without replacement from zkkkkczkzkkkz. What is prob of picking 2 z and 2 k?
168/715
Calculate prob of picking 2 h and 1 y when three letters picked without replacement from {e: 2, h: 2, y: 2, d: 4, t: 3, j: 3}.
1/280
What is prob of picking 1 z and 1 l when two letters picked without replacement from ozzztcnntntlc?
1/26
Four letters picked without replacement from flfcufcelflfc. What is prob of picking 3 f and 1 c?
6/143
Calculate prob of picking 2 l when two letters picked without replacement from sslclclclccc.
1/11
What is prob of picking 1 w and 1 o when two letters picked without replacement from hhgohgw?
1/21
Four letters picked without replacement from {d: 2, t: 4, b: 1, f: 1, i: 1}. Give prob of picking 4 t.
1/126
Calculate prob of picking 3 z and 1 f when four letters picked without replacement from fffffzzzffzfzf.
90/1001
Four letters picked without replacement from sssssccsccssssccsss. Give prob of picking 4 s.
715/3876
Three letters picked without replacement from novnvjvv. What is prob of picking 1 o, 1 v, and 1 j?
1/14
Four letters picked without replacement from {a: 4, u: 3, f: 1, h: 1, k: 6}. What is prob of picking 2 u, 1 f, and 1 k?
6/455
Three letters picked without replacement from {g: 2, p: 1, e: 1}. Give prob of picking 1 e and 2 g.
1/4
Calculate prob of picking 1 u and 1 h when two letters picked without replacement from ugxhoud.
2/21
Calculate prob of picking 2 f and 1 p when three letters picked without replacement from {p: 8, f: 3}.
8/55
Calculate prob of picking 1 m, 1 y, and 1 v when three letters picked without replacement from {m: 3, k: 2, y: 6, v: 2, s: 4}.
9/170
Calculate prob of picking 2 o when two letters picked without replacement from oodooooodooooddd.
11/24
What is prob of picking 2 c and 1 b when three letters picked without replacement from {b: 7, c: 4}?
14/55
What is prob of picking 1 h and 1 t when two letters picked without replacement from {h: 1, r: 1, j: 3, t: 1, q: 1}?
1/21
Calculate prob of picking 3 w when three letters picked without replacement from axrwaawwarr.
1/165
Three letters picked without replacement from rgrrprqqrrprqq. What is prob of picking 3 q?
1/91
What is prob of picking 1 d and 1 s when two letters picked without replacement from {d: 1, h: 1, s: 12}?
12/91
What is prob of picking 1 c and 1 j when two letters picked without replacement from pjcpjpccccccpcccjjp?
40/171
What is prob of picking 3 t when three letters picked without replacement from tblttbtbbtbbbbbbbbbb?
1/114
What is prob of picking 2 l when two letters picked without replacement from {l: 5, s: 5}?
2/9
Two letters picked without replacement from wwwwuwwwwwwcwwucu. Give prob of picking 2 c.
1/136
Four letters picked without replacement from aatva. Give prob of picking 2 a, 1 t, and 1 v.
3/5
What is prob of picking 1 q and 1 a when two letters picked without replacement from qbbad?
1/10
Three letters picked without replacement from {o: 5, y: 8}. What is prob of picking 1 y and 2 o?
40/143
What is prob of picking 3 v when three letters picked without replacement from {h: 9, v: 3}?
1/220
Four letters picked without replacement from uuuunzkuukuuduzzukn. What is prob of picking 2 n, 1 u, and 1 k?
5/646
Two letters picked without replacement from bicqbins. What is prob of picking 1 b and 1 n?
1/14
Calculate prob of picking 1 i and 1 d when two letters picked without replacement from dsifffiiiiiifiiizfif.
11/190
Two letters picked without replacement from {z: 2, n: 3, x: 9, f: 3, g: 2}. Give prob of picking 1 n and 1 f.
1/19
What is prob of picking 2 i and 1 v when three letters picked without replacement from {i: 9, v: 2}?
24/55
What is prob of picking 2 z when two letters picked without replacement from zzdddzd?
1/7
Two letters picked without replacement from xxzzxxxx. Give prob of picking 1 x and 1 z.
3/7
Two letters picked without replacement from {h: 2, p: 1, m: 2}. Give prob of picking 1 m and 1 h.
2/5
Calculate prob of picking 2 q when two letters picked without replacement from roqqoqqz.
3/14
Three letters picked without replacement from fzxxhxxfnxhfzvf. What is prob of picking 1 n and 2 f?
6/455
Calculate prob of picking 2 l when two letters picked without replacement from nvnnnlnllln.
6/55
Two letters picked without replacement from aqiiiaaqiiiiqa. Give prob of picking 2 i.
3/13
Calculate prob of picking 2 d when two letters picked without replacement from pdtfppprtdrrtpf.
1/105
Four letters picked without replacement from {r: 5, k: 6, g: 4}. What is prob of picking 1 r and 3 k?
20/273
What is prob of picking 1 o and 2 n when three letters picked without replacement from {q: 4, n: 2, v: 1, o: 1}?
1/56
Calculate prob of picking 3 f and 1 y when four letters picked without replacement from vffvyvvfvuvyf.
8/715
Two letters picked without replacement from lljlsdsdlslljjjllll. What is prob of picking 2 d?
1/171
Two letters picked without replacement from {j: 2, x: 10}. What is prob of picking 2 j?
1/66
What is prob of picking 1 t, 1 p, 1 g, and 1 h when four letters picked without replacement from {h: 1, q: 2, g: 2, p: 1, t: 4}?
4/105
Four letters picked without replacement from aacjakppjpappakpv. What is prob of picking 1 a, 2 v, and 1 j?
0
Calculate prob of picking 2 i and 1 m when three letters picked without replacement from {i: 3, h: 2, m: 5}.
1/8
Calculate prob of picking 2 w and 1 d when three letters picked without replacement from wwwwddwwwddwdw.
45/91
Four letters picked without replacement from {v: 6, r: 7}. What is prob of picking 2 v and 2 r?
63/143
Calculate prob of picking 1 e and 1 z when two letters picked without replacement from ofwzwofwewfzpwzfzwzo.
1/38
Four letters picked without replacement from dlkkwyk. What is prob of picking 2 k, 1 l, and 1 w?
3/35
Four letters picked without replacement from ddolklddnkkdndkdxdo. Give prob of picking 2 o and 2 l.
1/3876
Calculate prob of picking 1 d and 1 j when two letters picked without replacement from jjjjjjjjjjjjjjdjjj.
1/9
Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, h: 1, q: 1, c: 2}.
1/15
What is prob of picking 2 b when two letters picked without replacement from {i: 1, j: 2, l: 8, b: 2}?
1/78
Two letters picked without replacement from {q: 5, i: 8, x: 2, f: 1}. Give prob of picking 1 i and 1 q.
1/3
What is prob of picking 2 l, 1 o, and 1 s when four letters picked without replacement from moslssssloms?
4/165
Two letters picked without replacement from xwxxxwxxxxxxwxxx. Give prob of picking 1 x and 1 w.
13/40
Three letters picked without replacement from ggggfogootfgoxf. Give prob of picking 1 t and 2 o.
6/455
Three letters picked without replacement from ybbipaampipypaybyba. Give prob of picking 1 p and 2 i.
4/969
Calculate prob of picking 1 y and 1 g when two letters picked without replacement from ygdygytgyytyjy.
3/13
Four letters picked without replacement from {e: 10, l: 2}. Give prob of picking 2 e and 2 l.
1/11
Two letters picked without replacement from {h: 2, m: 2, n: 2, d: 2}. Give prob of picking 1 n and 1 m.
1/7
Three letters picked without replacement from {g: 6, c: 9, r: 2}. Give prob of picking 1 r and 2 g.
3/68
Calculate prob of picking 1 v, 1 g, and 2 k when four letters picked without replacement from kgvkkttfkff.
1/55
Calculate prob of picking 3 d when three letters picked without replacement from {d: 7, t: 6}.
35/286
Four letters picked without replacement from sssssssssssc. Give prob of picking 4 s.
2/3
Two letters picked without r
|
{
"pile_set_name": "DM Mathematics"
}
|
6. Let f(j) = 18*j**2 + j - 33. Let z(c) = 15*f(c) - 4*w(c). Let l(m) = 9*m**2 + 5*m - 5. Calculate -9*l(a) - 5*z(a).
9*a**2
Let b(t) = 4*t**2 - t - 4. Suppose 8 = -4*u + 8*u. Suppose -2*l = -u*p + 18, -p + 11 = -4*l - 10. Let c(r) = -3 + 2*r**2 - 2 + 3. Give p*c(x) - 2*b(x).
2*x**2 + 2*x - 2
Let i(y) = 11*y - 17. Let j(k) = -9*k + 14. What is -5*i(q) - 6*j(q)?
-q + 1
Let v(o) = 12*o + 1 + 11*o - 6 - 17*o. Let i(k) = 5*k - 4. Let r = 22 + -16. Give r*v(n) - 7*i(n).
n - 2
Suppose 7*v = -104 + 90. Let g(r) be the first derivative of 3*r + 11. Let h(b) = -b**2 - 16. Calculate v*h(l) - 11*g(l).
2*l**2 - 1
Let w(v) = -2*v + 5. Let f(b) = -3*b + 6. Let x = -849 - -854. Determine x*w(m) - 4*f(m).
2*m + 1
Suppose o - 6 = -2*o - 3*y, -2*y - 2 = 0. Let z(f) = -o*f + 3*f + 4 + f - 3. Let a(b) = 3. Determine a(s) - 4*z(s).
-4*s - 1
Let o(u) = 9*u**2 + 2*u + 6. Let c(r) = 1 - r**2 + 7 - 7 - 2. Suppose 4*s + 10*s = 84. What is s*c(p) + o(p)?
3*p**2 + 2*p
Let g(j) = -9*j**3 - 4*j**2 + 4. Let u(f) be the first derivative of f**4/4 + f**3/3 - f - 5. Let r = -11 + 12. Determine r*g(l) + 4*u(l).
-5*l**3
Let b(u) = 14*u**3 - 11*u**2 - 9*u + 15. Let r(a) = -7*a**3 + 6*a**2 + 5*a - 8. Suppose -3*q - 18*q = -126. What is q*b(p) + 11*r(p)?
7*p**3 + p + 2
Let u(q) = -5*q. Let j = -234 - -495. Let d(x) = -j + 261 - 30*x. Determine 6*d(f) - 35*u(f).
-5*f
Let h(b) = b**2 + b - 1. Let u(n) = 10*n**2 + 8*n - 11. Determine 14*h(j) - 2*u(j).
-6*j**2 - 2*j + 8
Let o(r) = 17*r**3 - 6*r**2 + 6*r - 6. Let b(x) = 42*x**3 + 17*x - 17*x**2 - 321 + 9*x**3 + 304 + 0*x. Calculate -6*b(k) + 17*o(k).
-17*k**3
Let h(f) = -6*f**2 + 3*f + 3. Let w(j) be the third derivative of j**4/24 + j**3/6 - 114*j**2. What is h(g) - 3*w(g)?
-6*g**2
Let c(s) = -827*s**3 - 2*s**2 + 2*s + 2. Let d(x) = 3077267*x**3 + 7443*x**2 - 7443*x - 7443. Calculate -7443*c(l) - 2*d(l).
827*l**3
Let p(q) = -q. Let m(k) = -k - 4. Calculate m(x) + 4*p(x).
-5*x - 4
Let s(m) = -4*m**2 + 11*m + 2. Let z(d) = 5*d**2 - 10*d - 3. Let t(j) = -3*s(j) - 2*z(j). Let x(i) = -i**2 + 4*i. Calculate 2*t(r) + 7*x(r).
-3*r**2 + 2*r
Let h(q) be the second derivative of q + 1/3*q**3 + q**2 + 0. Let f(v) = v**2 + 23*v + 40. Let b be f(-21). Let r(w) = -w**3 - 3*w - 3. Give b*r(x) - 3*h(x).
2*x**3
Let y(a) be the first derivative of 25 + 17*a + 5/2*a**2. Let t(d) = 2*d + 6. Determine -11*t(s) + 4*y(s).
-2*s + 2
Let y(m) = 1729*m - 9*m**2 - 3 + 2*m**2 - 1724*m. Let f(v) = v**2 - v + 1. What is -5*f(n) - y(n)?
2*n**2 - 2
Let b(p) = -20*p**3 + 6*p**2 - 17*p + 14. Let q(u) = 79 + 3*u**2 - 24 - 7*u**3 - u**2 - 6*u - 26 - 24. Determine 6*b(m) - 17*q(m).
-m**3 + 2*m**2 - 1
Let j(q) be the first derivative of 25*q**4/4 - 70. Let d(u) = 4*u**3. Calculate 39*d(o) - 6*j(o).
6*o**3
Suppose 0 = -5*s + 3*h + 2*h - 20, 2*s = -2*h. Let x(k) = 6*k**2 - 7*k + 6. Let v(u) = -2*u**2 + 2*u - 2. Give s*x(w) - 7*v(w).
2*w**2 + 2
Let b = -1 + -2. Let w(s) = -2*s - 5. Let j(x) = 26*x + 18. Let l(k) = 21*k + 17. Let c(n) = 3*j(n) - 4*l(n). What is b*c(q) + 8*w(q)?
2*q + 2
Let t(l) = l + 1. Let p(q) = 614*q + 7 - 315*q - 308*q. Let r(n) = -5*n + 4. Let j(y) = -4*p(y) + 7*r(y). Calculate j(w) + t(w).
2*w + 1
Let o(a) = 2*a**3 + 19*a**2 - 2. Let s(p) = -p**3 - p**2 - p. What is o(j) + s(j)?
j**3 + 18*j**2 - j - 2
Suppose 35*t - 43*t = 48. Let m(d) = 2*d**2. Let w(h) = -3*h**2 + 17*h - 17. Let o(s) = -s**2 + 6*s - 6. Let j(i) = -17*o(i) + 6*w(i). Give t*m(p) - 13*j(p).
p**2
Let q be (15/150)/((-3)/30). Let c(p) = -p**2 + p + 1. Let j(s) = -6*s**2 + 6*s + 6. Determine q*j(h) + 5*c(h).
h**2 - h - 1
Let c(r) = 2*r - 2. Suppose -105 = -7*q - 889. Let n be (3/(-4))/(6/q). Let t(w) = -w + 1. Give n*t(p) + 6*c(p).
-2*p + 2
Let a(m) = -m**2 + m - 4. Let d(q) = 30*q**2 + 3*q - 21. Give -6*a(z) + d(z).
36*z**2 - 3*z + 3
Let p(l) = -130*l**3 + 2*l + 1. Let b(a) = -129*a**3 + 3*a + 2. Give 2*b(h) - 3*p(h).
132*h**3 + 1
Let f(m) = -m - 6. Let v(a) = -8. Let n(c) = 6*f(c) - 4*v(c). Let s(x) = 5*x + 3. Let t be (-3 + 2)*2 + 0. Give t*n(i) - 3*s(i).
-3*i - 1
Let l(h) = -h**2 + h - 5. Let g(x) = x**2 + 3. Let y(v) = 5*g(v) + 3*l(v). Let r(z) = -z**2 - z. Give -r(q) - y(q).
-q**2 - 2*q
Suppose 63 = -305*o + 296*o. Let y(t) = -3*t - 9. Let l(x) = -x - 3. What is o*l(v) + 2*y(v)?
v + 3
Let v(f) = 2*f + 6. Let b(c) be the second derivative of -c**2/2 - c. Let p = -179 + 175. Give p*b(h) - v(h).
-2*h - 2
Let a(w) = -2*w - 1. Let o(i) = -9*i - 2. Calculate -5*a(y) + o(y).
y + 3
Let p(r) = 33*r - 428. Let d be p(13). Let i(h) = -10*h**2 + 1. Let b(s) = s**2 + 1. Calculate d*i(f) - 2*b(f).
-12*f**2 - 1
Let z(h) = h**3 + 24*h**2 + 22*h - 17. Let t be z(-23). Let m(y) = y**3 + y - 1. Let f(i) = -3*i**3 - 6*i + 7. Determine t*m(v) + f(v).
3*v**3 + 1
Let u(j) = -10*j - 10. Suppose 4*a - 8 = 0, 10*n = 15*n + a + 33. Let s(d) = -2 - 7*d - 3 - 2 + 0. Determine n*s(m) + 5*u(m).
-m - 1
Let i(x) be the third derivative of -x**4/24 - x**3/2 - 10*x**2. Let g(t) = -4. Let h(r) = 7. Let a(z) = 5*g(z) + 3*h(z). Determine -12*a(w) - 4*i(w).
4*w
Let w(d) = 3*d**2 + 6*d + 8. Let y(n) = -2*n**2 - 4*n - 5. Suppose -6*m = 3*m + 45. Give m*w(f) - 8*y(f).
f**2 + 2*f
Let t(q) be the second derivative of q**3/2 + 5*q**2/2 - 9*q. Suppose -2*p + 36 = -6. Suppose 6*n + p = 3*n. Let r(k) = 4*k + 7. Give n*t(i) + 5*r(i).
-i
Let z(n) = 5*n**2 - 3*n + 1. Let y(u) = 10*u**2 - 7*u + 1. Determine 2*y(x) - 5*z(x).
-5*x**2 + x - 3
Let t be 4/(-2) + 0/3. Let l(k) = -2*k**2 - 122*k + 10. Let o be l(-61). Let w(n) = n**3 + 5*n. Let i(d) = d. Determine o*i(m) + t*w(m).
-2*m**3
Let l(w) = -4*w**3 + 13*w**2 + 4*w - 11. Suppose 4*h + 33 = h. Let c(z) = 2*z**3 - 7*z**2 - 2*z + 6. Let i = -53 - -47. Give h*c(a) + i*l(a).
2*a**3 - a**2 - 2*a
Let o(g) = 5*g**3 + 4*g**2 - g + 5. Suppose -2*l + 3*b = 25, 3*b + 10 = 8*l - 13*l. Let i(t) = 6*t**3 + 5*t**2 - t + 6. What is l*o(m) + 4*i(m)?
-m**3 + m - 1
Let x(y) = -y**2 - 5*y - 1. Let m(h) = -3*h - 1. Let u(v) = 2*m(v) - x(v). Let l(i) = -9*i**2 + 6*i + 6. Let r be 1 + -3 - (-1)/1. Give r*l(j) - 6*u(j).
3*j**2
Let n(i) = -i - 1. Let q(o) = 4*o + 4. Let g = 891 - 888. Calculate g*n(x) + q(x).
x + 1
Let d(y) = 10*y**2 + 3*y. Let x(u) = 39*u**2 + 13*u. Give 13*d(v) - 3*x(v).
13*v**2
Let d(z) = 1. Let f(b) = 3*b - 16. Calculate -4*d(y) - f(y).
-3*y + 12
Let i(f) = 2*f**2 + 5*f + 1. Let p(y) = -2*y**2 - 7*y - 1. Give -4*i(d) - 3*p(d).
-2*d**2 + d - 1
Let x(g) = 21*g**2 + g + 4. Let j(v) = -14*v**2 - v - 3. What is 7*j(u) + 5*x(u)?
7*u**2 - 2*u - 1
Let r = 166 + -173. Let i(q) = 5*q - 3. Let d(c) = 3*c - 2. Determine r*d(j) + 4*i(j).
-j + 2
Let f(l) = -2*l**3 - 3*l**2 - 3*l + 46. Let x(h) = -h**2 - h + 1. Calculate f(b) - 3*x(b).
-2*b**3 + 43
Let q(o) be the first derivative of o**2 + 5*o + 2. Let b(s) = -3*s - 127. Let c be b(-40). Let n(a) = -2*a - 6. What is c*q(r) - 6*n(r)?
-2*r + 1
Let r = 40 + -38. Suppose -6 = -u - 2*b, -2*u - r*u - 5*b = -39. Let l(h) = 6*h + 10. Let a(k) = -k - 2. Calculate u*a(f) + 3*l(f).
2*f - 2
Let z(h) = 37*h**2 + 3*h + h - 60*h**2 - h. Let q = -3 - -9. Let s(l) = -8*l**2 + l. Give q*z(f) - 17*s(f).
-2*f**2 + f
Let d be (-12)/(-18) - 4/(-3). Let x(t) = -4*t**2 - 2. Let p(n) = n**3 - 21*n**2 - 11. Give d*p(g) - 11*x(g).
2*g**3 + 2*g**2
Let s(l) = -29*l + 5. Let i(w) = -3 + 12 + 15*w - 12. What is 5*i(y) + 3*s(y)?
-12*y
Let l(j) = 7*j + 17. Let h(i) = -15*i - 37. Let y(c) = 6*h(c) + 13*l(c). Let f(x) = 2*x - 2. Give -4*f(g) + 6*y(g).
-2*g + 2
Let o(n) = -2*n**2 + 1. Let r(q) = -96*q**2 + 9. Calculate -5*o(d) + r(d).
-86*d**2 + 4
Let l(i) = -48*i + 19. Let z(o) = -23*o + 9. Determine 6*l(b) - 13*z(b).
11*b - 3
Let s(d) = -5*d. Let z(h) = 4*h - 2. Give 3*s(l) + 4*z(l).
l - 8
Let m(s) = 14*s**2 + 1. Let n(i) = -14*i**2 - 7*i - 10. Let q(x) = 8*x**2 + 5*x + 7. Let c(l) = 5*n(l) + 7*q(l). Give 2*c(b) + 3*m(b).
14*b**2 + 1
Let i = 1 + -5. Let y(n) be the second derivative of 2*n**2 + 0 + 4*n + 0*n**4 - 2/3*n**3 + 1/20*n**5. Let d(t) = -2*t**3 + 9*t - 9. Determine i*d(a) - 9*y(a).
-a**3
Let u(x) = -2*x - 1. Let c(n) = 4*n + 3. Let b = 7 + -36. Let h = b - -24. Give h*u(d) - 3*c(d).
-2*d - 4
Let y(v) = -261*v. Let d(t) = 184*t - 96*t - 101*t. Determine -81*d(l) + 4*y(l).
9*l
Let s(i) = -3*i**2 - 21*i + 8. Let p(q) = 4*q**2 + 20*q - 9. What is 4*p(m) + 5*s(m)?
m**2 - 25*m + 4
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -301146316?
-301146311
In base 7, what is 1222015 + -2420?
1216265
In base 5, what is 43132114411 + -10?
43132114401
In base 4, what is 31 - -33220302?
33220333
In base 11, what is 9a7593 - -80?
9a7663
In base 15, what is -3867b6 + 0?
-3867b6
In base 6, what is -43155 - -231311?
144112
In base 2, what is -1 + 1111111000111111010100011111?
1111111000111111010100011110
In base 4, what is -330120100233033 - 0?
-330120100233033
In base 5, what is 31120000030 + 14?
31120000044
In base 2, what is 1000011100000001 + -1100001?
1000011010100000
In base 6, what is -4 + -235452500?
-235452504
In base 6, what is 13 + 231134314?
231134331
In base 3, what is 1102 + -122210201111?
-122210200002
In base 12, what is 10927 + 1300?
12027
In base 11, what is -41 + -6a1930?
-6a1971
In base 13, what is -56ac6 + -38?
-56b31
In base 15, what is -5 - 9400ad?
-9400b3
In base 10, what is -2037 + -3713?
-5750
In base 9, what is -8140 - 467?
-8617
In base 9, what is 3 - 5041635?
-5041632
In base 3, what is 20 - -21102201001000?
21102201001020
In base 10, what is 3000716 + 0?
3000716
In base 2, what is 11111000 - -10100001101000010001?
10100001101100001001
In base 2, what is -101001011001 - -11110111001?
-1010100000
In base 11, what is -5957 - 771?
-6618
In base 12, what is -25062197a + -1?
-25062197b
In base 3, what is -2112 + -101121022100?
-101121101212
In base 11, what is -33242 - 21?
-33263
In base 8, what is -61463742 - 12?
-61463754
In base 16, what is a83e5c + 42?
a83e9e
In base 14, what is 2a2 + -2520?
-225c
In base 15, what is d + -9e322?
-9e314
In base 7, what is -226611632 + -2?
-226611634
In base 11, what is -330a995 + -13?
-330a9a8
In base 11, what is 998 - -1a833?
20720
In base 7, what is -226 + 440611?
440352
In base 12, what is -1 + -2552693?
-2552694
In base 9, what is 0 + 636370184?
636370184
In base 10, what is -598853 + 33?
-598820
In base 15, what is 0 + 1bd792d?
1bd792d
In base 6, what is 244 + -4253215?
-4252531
In base 9, what is -4837053 - 182?
-4837245
In base 6, what is 3201 + -40432?
-33231
In base 6, what is 30045 + -2031?
24014
In base 10, what is 13 - 772305?
-772292
In base 2, what is -10101 + -1000000111110010100111?
-1000000111110010111100
In base 8, what is -2577664222 + 0?
-2577664222
In base 8, what is -5 + -12707432?
-12707437
In base 9, what is -15407 + -6642?
-23150
In base 8, what is 144527 - 43?
144464
In base 5, what is -32 + 10422401320?
10422401233
In base 13, what is 5 - -18c577b?
18c5783
In base 7, what is -5444016 - 164?
-5444213
In base 11, what is -2 - 90a3814?
-90a3816
In base 15, what is -d806b + -3c?
-d80a8
In base 8, what is 313340 - 6?
313332
In base 15, what is 3e7ae6a + 2?
3e7ae6c
In base 5, what is 1113333 + 2312?
1121200
In base 13, what is 3bc114 + -1cc?
3bbc15
In base 6, what is 1304 - -1521331?
1523035
In base 7, what is -24 - -225516413?
225516356
In base 15, what is 1590 + 1217?
27a7
In base 2, what is 10111 + 1001110111011010001010?
1001110111011010100001
In base 8, what is -7 + 205171565?
205171556
In base 10, what is -4643 - -14049?
9406
In base 14, what is -132 + 7b1c?
79ca
In base 11, what is 236a - 1311?
1059
In base 14, what is -559923 + -5?
-559928
In base 5, what is 10034311 + -44?
10034212
In base 3, what is -1021011201201002021 - 2?
-1021011201201002100
In base 16, what is -3 - -cfc55?
cfc52
In base 14, what is c + 358175?
358183
In base 14, what is 137c + -6a20?
-5682
In base 8, what is -234635635 - 0?
-234635635
In base 9, what is 887 + -1458?
-461
In base 6, what is -14513230 + 2?
-14513224
In base 10, what is 3364 + 19632?
22996
In base 4, what is 110121 - 101012?
3103
In base 14, what is -70 + -ad658?
-ad6c8
In base 14, what is -3 + -4879c00?
-4879c03
In base 10, what is -6051 - -1026?
-5025
In base 11, what is 428 - 53437?
-5300a
In base 6, what is -3 + 30332224511?
30332224504
In base 15, what is -6b + 1e8ed0?
1e8e64
In base 12, what is -1a2 - 336193?
-336375
In base 14, what is 12863 + -2b05?
db5c
In base 4, what is 12131110212 - -233?
12131111111
In base 13, what is 350b + -560a?
-20cc
In base 11, what is 18 + -3370630?
-3370613
In base 4, what is 303112320223 - -12?
303112320301
In base 5, what is -302221342402 + 2?
-302221342400
In base 4, what is 3021212300 - -23?
3021212323
In base 8, what is -12243215 + 3?
-12243212
In base 10, what is -17993 + 1860?
-16133
In base 14, what is -62 - 40bd22?
-40bd84
In base 9, what is -3 - 78707451?
-78707454
In base 9, what is -1768458 - 45?
-1768514
In base 7, what is 13563313 - 13?
13563300
In base 8, what is 6 - 44072675?
-44072667
In base 10, what is -12 - -3074053?
3074041
In base 5, what is -21410 + -1311420?
-1333330
In base 5, what is -31144 - 334144?
-420343
In base 9, what is 4 - -3213368?
3213373
In base 7, what is 162320550 - -1?
162320551
In base 12, what is -163 + -36369?
-36510
In base 13, what is 20b + -5c4ac?
-5c2a1
In base 4, what is 2 - -2000310022222?
2000310022230
In base 15, what is -bae + 293d?
1c7e
In base 13, what is -bc + -379182?
-379271
In base 11, what is 5 + -1637a2826?
-1637a2821
In base 13, what is 350b - c80?
255b
In base 12, what is 619 + -22a55?
-22438
In base 4, what is 22002220 + 1212?
22010032
In base 5, what is -103 + -434044233?
-434044341
In base 5, what is 3100 + -312400313?
-312342213
In base 9, what is 277536325 + -1?
277536324
In base 9, what is 13480 + -3505?
8874
In base 11, what is -43a542 + -5?
-43a547
In base 8, what is -3653235 - -6?
-3653227
In base 14, what is -90b5c - -37?
-90b25
In base 9, what is 233 + 688415?
688648
In base 14, what is -18 - a6c4d1?
-a6c509
In base 3, what is 21 + 112210201202210?
112210201210001
In base 7, what is -536441540 - -1?
-536441536
In base 9, what is -10563285 - -3?
-10563282
In base 16, what is -20ac4d - 29?
-20ac76
In base 4, what is 221233311210 + -2?
221233311202
In base 13, what is -23776b8b + 9?
-23776b82
In base 7, what is 5 - -6635526656?
6635526664
In base 9, what is -22180036 + -1?
-22180037
In base 9, what is -3 - -7180448?
7180445
In base 10, what is -181833 + 582?
-181251
In base 5, what is -4234 + -1224233?
-1234022
In base 5, what is -10 - 112004443?
-112010003
In base 11, what is 421 + 751361?
751782
In base 5, what is -1304 + 3113403430?
3113402121
In base 9, what is 715236 + -4150?
711076
In base 16, what is -2f1e12 + 6f?
-2f1da3
In base 15, what is 2430e21 - -2?
2430e23
In base 13, what is 283 - -c9?
37c
In base 2, what is 110110001110100011110 + -100111000?
110110001101111100110
In base 4, what is 2 - -10301300130100?
10301300130102
In base 13, what is -11 + -1c0657?
-1c0668
In base 14, what is 1 - -1181058?
1181059
In base 16, what is -5 + -2b83ac8?
-2b83acd
In base 3, what is -10222 - 212021201?
-212102200
In base 13, what is 57 - 26762?
-26708
In base 9, what is -744623 + -172?
-744805
In base 16, what is -83 + 5edec?
5ed69
In base 16, what is -289ce + -1000?
-299ce
In base 3, what is 22112021220222101 + -1?
22112021220222100
In base 10, what is 10406 + 2575?
12981
In base 15, what is -31307 - 383?
-3168a
In base 13, what is -151 + -7a7?
-928
In base 3, what is -20121120 + -210222000?
-1001120120
In base 15, what is -1be5e - 9e6?
-1c955
In base 9, what is 553843 + 56?
554010
In base 11, what is 61509a765 + 2?
61509a767
In base 10, what is 1624117 - -4?
1624121
In base 3, what is -2000111 + 1221220?
-1121
In base 15, what is 174cc3 + -26?
174c9c
In base 3, what is -12120201201221110 + -10?
-12120201201221120
In base 2, what is 11111 + -11101010111011100111111?
-11101010111011100100000
In base 14, what is 2 - 3576cb?
-3576c9
In base 14, what is -2 - -2139255?
2139253
In base 5, what is 0 + 11414033031?
11414033031
In base 8, what is 33 + -502472?
-502437
In base 15, what is 1 + -363bdc?
-363bdb
In base 3, what is 2221002110102 + -11?
2221002110021
In base 16, what is 861 - -4b4?
d15
In base 8, what is -67433122 + 3?
-67433117
In base 6, what is -405 - -3312132?
3311323
In base 16, what is 0 + 6149b18?
6149b18
In base 4, what is 33332032000 + 1?
33332032001
In base 12, what is aaa + 3550a?
363b8
In base 8, what is -1364 - -220465?
217101
In base 16, what is 33 - 2e02f?
-2dffc
In base 11, what is 5 + -19794881?
-19794877
In base 3, what is 10202120202202111 - 2?
10202120202202102
In base 12, what is -42182 - 35?
-421b7
In base 15, what is 50d
|
{
"pile_set_name": "DM Mathematics"
}
|
qrt(396)*2 + 3 - (-1 + sqrt(396)*1))*-1 + -4)**2 + 2.
192*sqrt(11) + 1650
Simplify (-3*sqrt(204)*4 - -2*sqrt(204)*-2)/(sqrt(1452) + 1*sqrt(1452)*6 - -2*((sqrt(1452) - sqrt(1452)*-2) + sqrt(1452))).
-16*sqrt(17)/165
Simplify 0 + ((-1*(sqrt(26) - sqrt(234)*-4 - sqrt(104)/sqrt(4)*3))/((sqrt(32)*3 - sqrt(2)) + sqrt(192)/sqrt(6)))**2.
52/9
Simplify ((sqrt(252) - -1*sqrt(252)) + -5)*5 - (sqrt(7) + (sqrt(84)*2)/sqrt(12) - sqrt(28)*-3).
-25 + 51*sqrt(7)
Simplify (-1 + -5*sqrt(684) + sqrt(684))*-1 - 5*(sqrt(684) + 1)*4.
-96*sqrt(19) - 19
Simplify 2*(2 + -3 + 2*(sqrt(500)*1)**2 + 5).
2008
Simplify 4*(-4 + (sqrt(117) - (0 + sqrt(117))**2)*5 + 6*(-1*sqrt(117)*5)**2).
60*sqrt(13) + 67844
Simplify (sqrt(637)*1 + -3)**2 + (sqrt(637) - (sqrt(637) + sqrt(637)*-2 + 5))**2 + 5*(sqrt(637) + (-4 + sqrt(637) + 5)**2).
-77*sqrt(13) + 6409
Simplify (-4 + -1*(sqrt(272) + (2 + sqrt(272))*6 + -1*(sqrt(272) + 3)))**2.
624*sqrt(17) + 9961
Simplify (5*((sqrt(153) - (0 + sqrt(153) + 0)) + sqrt(153) + sqrt(153) + 1 + 5 + 4)*6 + -5 + -5)**2.
104400*sqrt(17) + 634900
Simplify ((-6*sqrt(70)*1 - (3*sqrt(70)*6 + sqrt(70) - sqrt(70)))/(sqrt(70)/(sqrt(1512)/sqrt(6))))**2.
145152
Simplify (-2 + -2*(sqrt(99) + sqrt(99) + sqrt(99) + 0 - sqrt(99) - sqrt(11)) + 3*2*sqrt(704))*2.
-4 + 76*sqrt(11)
Simplify -2 + (3 + 4*sqrt(475)*3)**2 + (sqrt(475) - (sqrt(475) + (sqrt(475) + -4 + sqrt(475))*-5))*3.
510*sqrt(19) + 68347
Simplify ((2*6*(1 + sqrt(17)) - (-1 + -6*sqrt(119)/sqrt(7))**2) + 5)*-3.
1788
Simplify (sqrt(50) + -3 - (sqrt(8)/sqrt(2))/sqrt(2)) + 2*((2 + sqrt(2))*-1 + 4).
1 + 2*sqrt(2)
Simplify -3*(4*sqrt(95)/(5*sqrt(5)*-2) - ((6*-1*sqrt(2736))**2 + 4*-1*sqrt(2736))).
-714*sqrt(19)/5 + 295488
Simplify 2 + 1 + -4*(((sqrt(204)/(1*sqrt(6)))/(sqrt(2) - sqrt(200)*3))**2 + -4).
15911/841
Simplify 2 + ((((-1 + sqrt(72))*-5 - 3*(sqrt(72)*-2 + sqrt(72) - sqrt(72)))*6)**2 - (sqrt(72) - (sqrt(72) + -1)**2*-4 - (-4 + sqrt(72)*-1))).
2196*sqrt(2) + 3198
Simplify (-6*(sqrt(209)*-5 + sqrt(209)) - sqrt(209) - (sqrt(209) + 2*sqrt(209) + sqrt(209))*3)/(sqrt(99)/(-1*2*sqrt(9))*-5).
22*sqrt(19)/5
Simplify (-4*(sqrt(187)*-2 + sqrt(187)) - 2*sqrt(187)*-1)/(sqrt(539)*2 - (sqrt(11) - 1*sqrt(44)))*-2 + 3.
-4*sqrt(17)/5 + 3
Simplify (-3 + 0 + (-2*sqrt(1300)*5 - (-5 + (6*sqrt(1300) - sqrt(1300))))*1)**2.
-600*sqrt(13) + 292504
Simplify (4*3*sqrt(76)/sqrt(4)*-4)**2 + (sqrt(190) + -2*1*sqrt(190) - sqrt(190))/sqrt(10) + 3.
-2*sqrt(19) + 43779
Simplify ((sqrt(1088)*1 + 4 + 1*sqrt(1088)*-4 + 1)*-4 + 1)**2.
-3648*sqrt(17) + 157033
Simplify (6*(3 + sqrt(208) + -2*sqrt(208) + -2))**2 + 2 + -3 + 0 + sqrt(208) + sqrt(208) + 4.
-280*sqrt(13) + 7527
Simplify (1*(((sqrt(272) - (1 + sqrt(272))) + 5)*-4 + -5 + sqrt(272) + -2 + 3) + 4 + -1)**2.
-136*sqrt(17) + 561
Simplify ((2*sqrt(78)*1)/(-2*sqrt(54)) - (-2 + (sqrt(1300) - (3 + sqrt(1300))))*5) + -2.
-sqrt(13)/3 + 23
Simplify -5*4*-4*(((sqrt(448) - (sqrt(448) + 2 + -2)) + sqrt(448))*5)**2.
896000
Simplify 3 + (2 + sqrt(1573) - (sqrt(208) - ((sqrt(208) - (-3*sqrt(208) + sqrt(208)) - sqrt(208)) + sqrt(208)))**2) + 5 + sqrt(91)/(sqrt(28)*3).
-822 + 67*sqrt(13)/6
Simplify -3 + (-3*(sqrt(136)*-4 + sqrt(136))*-3)/((sqrt(88) + -2*(sqrt(88) - sqrt(88)*3 - sqrt(88)))/sqrt(11)).
-27*sqrt(17)/7 - 3
Simplify ((sqrt(1350) - 2*sqrt(1350))/(2*sqrt(75)))/(-4*(sqrt(9) + sqrt(9) + sqrt(324) + sqrt(9)) + sqrt(9) + sqrt(225)*-3).
sqrt(2)/100
Simplify (-6*-3*sqrt(153)*4)/(sqrt(1089) + (sqrt(1089) - ((sqrt(1089) + sqrt(1089)*2)*3 + sqrt(1089) + sqrt(1089))) + sqrt(1089)).
-9*sqrt(17)/11
Simplify ((sqrt(660)*-1*6)/((1*sqrt(60) + sqrt(60))/sqrt(5)))/((sqrt(308)/sqrt(7)*-4 - sqrt(44))*-3).
-sqrt(5)/10
Simplify 5*(4*3*5*(sqrt(70)*2 + sqrt(70)))/((1*sqrt(100))/sqrt(10) + sqrt(10) - -4*sqrt(160)).
50*sqrt(7)
Simplify (-5 + (6*(sqrt(78) + sqrt(78) + 1*sqrt(78)*-4 + sqrt(78)))/(sqrt(48)/(sqrt(6)/sqrt(3))))**2.
30*sqrt(13) + 142
Simplify 1 + (2*sqrt(8)*3)/sqrt(4)*2 + (1 + 1 + sqrt(162) - (sqrt(162) - 4*(0 + sqrt(162))**2)).
12*sqrt(2) + 651
Simplify ((1*sqrt(200))**2*5 + ((-2 + 0 + sqrt(200) - sqrt(200)) + sqrt(200))**2 - (5 + (sqrt(200)*1)**2)*-6) + 4 + 2.
-40*sqrt(2) + 2440
Simplify (5 + ((sqrt(90) + 2*sqrt(90) - sqrt(90))/sqrt(9))/((sqrt(18)/sqrt(3) + sqrt(6))/sqrt(3)) + 3)*-2 + -1.
-17 - 2*sqrt(5)
Simplify -4*-6*((2 + sqrt(1053) + 1 + -5 + (sqrt(1053) - (-4 + -1 + sqrt(1053))) + sqrt(1053) + (sqrt(1053) - 5*(sqrt(1053) + sqrt(1053)*2)))*-1)**2.
-15552*sqrt(13) + 3639384
Simplify ((-2*(sqrt(190)*-5 - sqrt(190))*2*-4)/((sqrt(360) + -2*sqrt(360)*4)*-6))**2.
1216/441
Simplify (-2 + (4 + 3*(sqrt(637) + 0) + -4)**2)*-5*-3.
85965
Simplify 5*(6*(sqrt(176) + 2*sqrt(176))**2*3 + ((5 + (sqrt(176) - (2 + sqrt(176) - sqrt(176))) - sqrt(176)) + sqrt(176) - (sqrt(176) + 0 + -4)**2)).
180*sqrt(11) + 141615
Simplify (((sqrt(72)*-2)**2 + 2)*5 - (-1 + ((sqrt(72) + 0 + sqrt(72) - sqrt(72)) + -3 - sqrt(72))**2))*1.
1442
Simplify ((sqrt(39)/sqrt(3)*-3 + (2*sqrt(143))/sqrt(11))**2 + -4)*-6 - (5 + sqrt(637) + (sqrt(637) - (-1 + sqrt(637))**2) + 1)*5.
-140*sqrt(13) + 3106
Simplify (2*(sqrt(190) + sqrt(190)*3))/(sqrt(640) - (sqrt(640) - sqrt(640)*2)) - (-5 + (sqrt(95)/(sqrt(10)/sqrt(2)) + sqrt(57)/sqrt(27))**2 + -5).
-214/9 + sqrt(19)/2
Simplify 6*5*((sqrt(1100) + -2)*3 + 0 + -2)**2 + 5.
-14400*sqrt(11) + 298925
Simplify -3 + (((sqrt(2299) - (sqrt(2299) + 2 + -5)) + -2*sqrt(2299)*-5)*-1*-4*4)**2.
168960*sqrt(19) + 58856701
Simplify 5 + (sqrt(13) + sqrt(52) + -5)**2*2 + ((-2*sqrt(312))/sqrt(8))/((sqrt(6)/sqrt(2) + sqrt(3))*6).
-361*sqrt(13)/6 + 289
Simplify (6*((sqrt(550) - (sqrt(550) - (sqrt(550) + sqrt(550) + sqrt(550)*-3)))*4 + sqrt(550)))/(6*sqrt(33)/(sqrt(21)/(sqrt(42)/sqrt(6) + sqrt(7)))).
-15*sqrt(2)/2
Simplify 3 + ((3 + 1*sqrt(72))**2 + 5 + (-1*sqrt(72))**2 - ((4*1*sqrt(72) - sqrt(72)) + sqrt(72) - (-2 + sqrt(72) + 2))**2).
-487 + 36*sqrt(2)
Simplify -3 + -3*((1 + sqrt(153) + -4 - (sqrt(153) + sqrt(153) + -1 - sqrt(153))*-4)**2 + 5)*-5 + 5.
-3150*sqrt(17) + 58187
Simplify (-3*-4*(sqrt(567) - (sqrt(567) + (sqrt(567) - -1*sqrt(567)*5))) + sqrt(567)*-1*-2 + sqrt(567) + -3 + 3 + -5)**2.
6210*sqrt(7) + 2699512
Simplify (-4 + sqrt(175) + sqrt(175)*-2 + -2*-2*sqrt(175) - (-2*sqrt(343)*-3 - sqrt(343))*-5)**2 + -2.
-1520*sqrt(7) + 252714
Simplify 3 + ((sqrt(189) + 5*sqrt(189)*5)/sqrt(7))/(-5*(1*sqrt(441) - sqrt(9))).
-13*sqrt(3)/15 + 3
Simplify -5 + (3 + (sqrt(20) + 3*(sqrt(140)/sqrt(7) + sqrt(20)))/(sqrt(48)/sqrt(588))*-1*-6)**2.
1764*sqrt(5) + 432184
Simplify (3 + -3*((sqrt(22)/(-3*sqrt(11)) + sqrt(2) - ((sqrt(14) + -1*sqrt(14))/sqrt(7) + sqrt(2))) + 2))**2*3.
-18*sqrt(2) + 33
Simplify (((sqrt(425) - (0 + sqrt(425))*-5) + 1 + (sqrt(425) + 1 - sqrt(425)))*-1 + -1 + -1)**2 + 3.
240*sqrt(17) + 15319
Simplify -5 + 0 + -3 + (-1 + sqrt(2448))*3 + (sqrt(2448) + 5 + 2)**2.
204*sqrt(17) + 2486
Simplify 4*(-5*4*(-2*sqrt(833) + sqrt(833)))**2 + (2 + sqrt(833) + 3 - sqrt(833) - (2 + sqrt(833) + 0 + sqrt(833))).
-14*sqrt(17) + 1332803
Simplify (5 + -4 + (sqrt(33)/(-6*1*sqrt(3) + sqrt(3)))**2 + 3)*-2*-1.
222/25
Simplify 0 + (((sqrt(110) + sqrt(110)*1)*-6)/sqrt(10) + -1)**2 + (4 + sqrt(99) + (sqrt(99) - (-3 + sqrt(99) + sqrt(99)*-2) - sqrt(99)))**2.
108*sqrt(11) + 2030
Simplify ((sqrt(85) - 5*sqrt(85)*3)*6)/(6*(sqrt(5) + (sqrt(5) - (sqrt(10)*3)/sqrt(2)))).
14*sqrt(17)
Simplify (sqrt(91) + -5*sqrt(91)*1 + 2*sqrt(91)*2 + sqrt(91))/((-5*sqrt(84)*1 - sqrt(84))/sqrt(12)*6).
-sqrt(13)/36
Simplify ((-4 + 1 + sqrt(80))*-6)**2 - (1*sqrt(125)*3 - sqrt(125))*2.
-884*sqrt(5) + 3204
Simplify -6*(-4 + (5*(-2*sqrt(468) + sqrt(468)) - (sqrt(468) + 2*sqrt(468))*-3)*1)*1.
-144*sqrt(13) + 24
Simplify ((sqrt(440)/(sqrt(90)*2 - sqrt(10)) - ((-1*sqrt(352))/sqrt(8) + (1*sqrt(396))/sqrt(9))) + 0)*-2*-5.
4*sqrt(11)
Simplify (4*((sqrt(70) - (sqrt(70) - -1*sqrt(70)))*2 - sqrt(70) - sqrt(70))*2)/((sqrt(90)/(5*sqrt(9)) - sqrt(10)) + (sqrt(10) - (-4*sqrt(80))/sqrt(8))).
-160*sqrt(7)/21
Simplify ((sqrt(170) + sqrt(170)*-1*5 + 6*(1*sqrt(170) + sqrt(170)))/(sqrt(120)/sqrt(108) + 4*sqrt(10)*1) + -1)**2*5.
-240*sqrt(17)/13 + 49805/169
Simplify ((sqrt(171)*-1*3 + sqrt(171) + -2*-2*sqrt(171))*-4)/(-6*(sqrt(45)/(sqrt(15)/sqrt(3)) + sqrt(9))*6).
sqrt(19)/9
Simplify 4 + (6*2*sqrt(612))**2 + -3 + (5 + (sqrt(612) + 1 - sqrt(612)) + 2*sqrt(612)*-1)**2.
-144*sqrt(17) + 90613
Simplif
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(12))**2.
sqrt(17) + 22
Simplify ((sqrt(30) - sqrt(270))/sqrt(6) + sqrt(5) - (1 + -1*sqrt(5)))**2.
1
Simplify -1 + sqrt(33)/sqrt(3) + 4 + -2.
1 + sqrt(11)
Simplify (0 + sqrt(2448)*-2)**2.
9792
Simplify -2 + (sqrt(77)/sqrt(112) - (sqrt(11) - sqrt(176))**2*-2).
sqrt(11)/4 + 196
Simplify (sqrt(475) + 0)*6*-5.
-150*sqrt(19)
Simplify (sqrt(78)*1*-3 - sqrt(78))/sqrt(6)*4*-3.
48*sqrt(13)
Simplify -5*sqrt(96)/sqrt(8).
-10*sqrt(3)
Simplify (-4 + 0 + sqrt(99) + 1)**2.
-18*sqrt(11) + 108
Simplify 0 + -2*sqrt(1700).
-20*sqrt(17)
Simplify (sqrt(192)*2)/(sqrt(180)/sqrt(5)).
8*sqrt(3)/3
Simplify (sqrt(24)/sqrt(4)*6)/(-6*sqrt(12)/sqrt(4)).
-sqrt(2)
Simplify -1*(0 + sqrt(1300) + 3 + 3)**2.
-1336 - 120*sqrt(13)
Simplify ((sqrt(119) + (sqrt(119) - (sqrt(119) + sqrt(119)*1))*1 - sqrt(119))/((sqrt(7)*1 - sqrt(7))*2 - sqrt(7)))**2.
17
Simplify 2 + (sqrt(192) + sqrt(192)*1)**2 - (sqrt(192) + -2*sqrt(192)*-1 + sqrt(192)).
-32*sqrt(3) + 770
Simplify (sqrt(39) - sqrt(312)/sqrt(128))/sqrt(3).
3*sqrt(13)/4
Simplify ((sqrt(45) - (sqrt(45) - ((sqrt(450)*2)/sqrt(10) - sqrt(45)))) + sqrt(45))/((sqrt(81) - (sqrt(81) - (sqrt(81) + sqrt(81)*-1)))/sqrt(9) + sqrt(9)).
2*sqrt(5)
Simplify sqrt(108)*1*-5 - (-3*(sqrt(3) + -1) + 5).
-27*sqrt(3) - 8
Simplify ((sqrt(168) + (sqrt(168) - (-3*sqrt(168) + sqrt(168))))/sqrt(12))/sqrt(7).
4*sqrt(2)
Simplify 0 + sqrt(70)/sqrt(10) + -2 + sqrt(847).
-2 + 12*sqrt(7)
Simplify (3 + sqrt(192))**2 - -4*sqrt(12)*2.
64*sqrt(3) + 201
Simplify -2 + sqrt(539) + (sqrt(880)/sqrt(5))**2.
7*sqrt(11) + 174
Simplify sqrt(240)/sqrt(5)*5 + -2.
-2 + 20*sqrt(3)
Simplify -5 + sqrt(170)/(2*sqrt(10)*3).
-5 + sqrt(17)/6
Simplify sqrt(170)/(sqrt(50)/sqrt(5))*6.
6*sqrt(17)
Simplify -2*sqrt(20)/sqrt(4)*5*3.
-30*sqrt(5)
Simplify ((-2*sqrt(1331) - sqrt(1331)) + sqrt(1331) + sqrt(1331))**2 + -4.
1327
Simplify (3*sqrt(99)*1*6*-5)**2.
801900
Simplify sqrt(2) + 0 + -1 + sqrt(200)*1.
-1 + 11*sqrt(2)
Simplify (sqrt(2)*3 + sqrt(2) - sqrt(2))*2*2.
12*sqrt(2)
Simplify (4 + sqrt(117)/(-3*sqrt(9)) + 0)**2.
-8*sqrt(13)/3 + 157/9
Simplify ((sqrt(3) + -3 - sqrt(3)) + 2 - ((sqrt(3)*-1 + 0)**2 - sqrt(3)))*-5.
-5*sqrt(3) + 20
Simplify -4 + -1*(-1 + sqrt(704))**2.
-709 + 16*sqrt(11)
Simplify (sqrt(700)*-2 + 0)*-1.
20*sqrt(7)
Simplify -2 + 3*sqrt(63)/(sqrt(9)*1)*-6.
-18*sqrt(7) - 2
Simplify ((sqrt(825)*2)/(-1*sqrt(147)))**2.
1100/49
Simplify ((sqrt(171) - ((sqrt(171) - -2*sqrt(171)) + sqrt(171) + sqrt(171) + sqrt(171)) - sqrt(171))*5)/(-6*sqrt(9)*2).
5*sqrt(19)/2
Simplify (1 + sqrt(11) + sqrt(55)/sqrt(20))**2.
3*sqrt(11) + 103/4
Simplify (5 + sqrt(5) + 0 + sqrt(80) + -4)**2.
10*sqrt(5) + 126
Simplify 1*sqrt(1216)*-4 - (3 + sqrt(1216) + -1)**2.
-1220 - 64*sqrt(19)
Simplify sqrt(2) + (sqrt(2) - (-2 + sqrt(2)))*-5 + sqrt(2) + (-1 + sqrt(2) + 1)**2.
-8 + 2*sqrt(2)
Simplify ((sqrt(76) - 1*sqrt(76)*3) + sqrt(76))/sqrt(4).
-sqrt(19)
Simplify ((sqrt(450)*-4)/sqrt(9))/sqrt(10).
-4*sqrt(5)
Simplify -4*sqrt(325) + sqrt(13) + sqrt(13) + -2.
-18*sqrt(13) - 2
Simplify (sqrt(192)/(sqrt(48)/sqrt(4)))/sqrt(8).
sqrt(2)
Simplify 3 + (-2*(sqrt(98))**2 - sqrt(2)).
-193 - sqrt(2)
Simplify (sqrt(99) + 2*sqrt(99)*-6)/((sqrt(216)/sqrt(4))/sqrt(6)).
-11*sqrt(11)
Simplify (sqrt(27)*-3 + sqrt(27))/sqrt(9)*-4.
8*sqrt(3)
Simplify 1*(2 + sqrt(175) - sqrt(175))**2.
4
Simplify ((sqrt(15)*1)/sqrt(3) + sqrt(30)/sqrt(54))**2 + 0.
80/9
Simplify 6*(sqrt(2) + 2)**2 - sqrt(784)/sqrt(8).
17*sqrt(2) + 36
Simplify (sqrt(11) - (-1*sqrt(110))/sqrt(10))*2 + -2.
-2 + 4*sqrt(11)
Simplify (sqrt(768))**2 - (2 + sqrt(3) + -1) - (sqrt(48) + 0)*-2.
7*sqrt(3) + 767
Simplify (sqrt(1053) + 2)**2 - (-1 + sqrt(1573))**2.
-517 + 58*sqrt(13)
Simplify sqrt(170)/(sqrt(60)/sqrt(6)*3).
sqrt(17)/3
Simplify -4 + 1 + ((sqrt(5)*1*-2)**2 - (sqrt(5) - sqrt(55)/(-1*sqrt(11)))).
-2*sqrt(5) + 17
Simplify (sqrt(80)/sqrt(4)*3)/sqrt(10).
3*sqrt(2)
Simplify (sqrt(208) + -1*sqrt(208))**2*-2 + -4.
-4
Simplify -1 + sqrt(425) + 3.
2 + 5*sqrt(17)
Simplify sqrt(1584) + (sqrt(1584)*-2*6)**2 + sqrt(1584).
24*sqrt(11) + 228096
Simplify 4 + ((sqrt(65)/sqrt(5))**2 + -1 - (-2 + (sqrt(13) - (sqrt(13) - sqrt(13)*-2)))).
2*sqrt(13) + 18
Simplify -2*-2*(sqrt(1100) + -2).
-8 + 40*sqrt(11)
Simplify (2*sqrt(114)*5)/(4*2*sqrt(6)).
5*sqrt(19)/4
Simplify (sqrt(243) + 3 + 1)**2.
72*sqrt(3) + 259
Simplify -2 + (3 + (sqrt(1573) - (sqrt(1573) + (sqrt(1573) - (sqrt(1573) + (sqrt(1573)*-2 + sqrt(1573) - sqrt(1573)))))))**2 + -3.
-132*sqrt(13) + 6296
Simplify (sqrt(156)/(4*-2*sqrt(12)))**2.
13/64
Simplify (-1*sqrt(550) + sqrt(550) + sqrt(550) + sqrt(550) - sqrt(22))/(sqrt(176) + (sqrt(176) + 2*sqrt(176) - sqrt(176))).
3*sqrt(2)/4
Simplify (-2*sqrt(1800) + sqrt(1800))/(sqrt(110)/(1*sqrt(11))).
-6*sqrt(5)
Simplify (1*sqrt(77))/sqrt(7) + 1*sqrt(99).
4*sqrt(11)
Simplify sqrt(468)*3*-6 - sqrt(468) - (-3 + sqrt(468) + (-1 + sqrt(468))**2).
-466 - 108*sqrt(13)
Simplify (((-3*sqrt(260) + sqrt(260) - sqrt(260) - sqrt(260))/sqrt(5) - sqrt(52))/(sqrt(4) - (sqrt(16)/sqrt(4) + sqrt(4))*2))**2.
325/9
Simplify (0 + 5 + (-2 + sqrt(288))*3)**2.
-72*sqrt(2) + 2593
Simplify 3 + -3*(sqrt(2) + sqrt(18)/sqrt(9)) + -5.
-6*sqrt(2) - 2
Simplify (-2*sqrt(2)*-1 + -4)**2.
-16*sqrt(2) + 24
Simplify (2*sqrt(65)*-6)/(sqrt(5) + (sqrt(80)*-2 - sqrt(80)))*3.
36*sqrt(13)/11
Simplify ((sqrt(1377) + (sqrt(1377) - 1*sqrt(1377)) - sqrt(17)) + sqrt(17) + -6*-1*sqrt(17) + sqrt(17))**2.
4352
Simplify -1*(sqrt(605)*-2 + sqrt(5)*-2 + -1).
1 + 24*sqrt(5)
Simplify -1 + (sqrt(144)/(sqrt(6) + sqrt(6)*2))/(-2*sqrt(48)).
-1 - sqrt(2)/12
Simplify (sqrt(14) + sqrt(14)*2*-1)/(sqrt(7) + 1*sqrt(112)).
-sqrt(2)/5
Simplify -4*sqrt(76)*-3.
24*sqrt(19)
Simplify (sqrt(110) - -1*sqrt(110)*4)/(-6*2*sqrt(10) - sqrt(10)).
-5*sqrt(11)/13
Simplify -1 + 4*(sqrt(50)/sqrt(10) + sqrt(5)).
-1 + 8*sqrt(5)
Simplify (sqrt(288) + (sqrt(288)*1 - sqrt(288)) + 4 + (-5 + sqrt(2) + sqrt(6)/sqrt(3))*-3)**2.
228*sqrt(2) + 433
Simplify 3*((sqrt(19) - (sqrt(19) + (sqrt(76) - (sqrt(76) + 0)) + sqrt(19))) + 1)*5.
-15*sqrt(19) + 15
Simplify (2*3*sqrt(76))/sqrt(4).
6*sqrt(19)
Simplify sqrt(171)/(sqrt(36)/sqrt(4)*-4).
-sqrt(19)/4
Simplify (-3*(2 + sqrt(2299)))**2.
396*sqrt(19) + 20727
Simplify (-4*sqrt(250))/(-1*(sqrt(2) - sqrt(8)/sqrt(4) - sqrt(2))).
-20*sqrt(5)
Simplify sqrt(95)/(sqrt(55)/(sqrt(11)*3) - sqrt(5) - sqrt(5)).
-3*sqrt(19)/5
Simplify -1*(sqrt(28)/sqrt(4)*1 + sqrt(175) + -2).
-6*sqrt(7) + 2
Simplify -4*((sqrt(240)*-2)/sqrt(12))/(3*sqrt(4)*-2).
-4*sqrt(5)/3
Simplify (sqrt(190) + sqrt(190) + -2*sqrt(190)*-1)/sqrt(10).
4*sqrt(19)
Simplify (sqrt(306)*1 + sqrt(306))/((sqrt(2)*2 - sqrt(2))*6).
sqrt(17)
Simplify sqrt(21)/((sqrt(7) + sqrt(63) + sqrt(7))*3).
sqrt(3)/15
Simplify sqrt(605) + -1 + sqrt(605) + (-1*sqrt(50))/sqrt(10).
-1 + 21*sqrt(5)
Simplify (sqrt(847)*2)**2*-5*-2.
33880
Simplify 6*(sqrt(14)/(sqrt(2)*2))**2*1.
21/2
Simplify (-3*sqrt(136)*-2)/((sqrt(96)*2 + sqrt(96) - sqrt(96))/sqrt(12)).
3*sqrt(17)
Simplify 5 + sqrt(22)/sqrt(2) + sqrt(22)/sqrt(2) + -3 - (-5 + sqrt(33)/sqrt(3) - (sqrt(11) + 1 + -2))**2.
-14 + 2*sqrt(11)
Simplify (-1 + sqrt(468))**2 + 0.
-12*sqrt(13) + 469
Simplify -4*(sqrt(300) + (0 + sqrt(300) - sqrt(300)))*-5.
200*sqrt(3)
Simplify (sqrt(171) + -4)**2 + 2.
-24*sqrt(19) + 189
Simplify (sqrt(25)/(sqrt(10)/sqrt(2)))**2 - (sqrt(20)/sqrt(4))**2*4.
-15
Simplify (-4 + sqrt(700) + 0)**2.
-80*sqrt(7) + 716
Simplify -1*sqrt(147) + 1 + sqrt(27)/(sqrt(27)/(sqrt(9)/sqrt(3) + sqrt(3))).
-5*sqrt(3) + 1
Simplify -4 + (sqrt(288) - 5*(sqrt(288) - (sqrt(288)*1 + sqrt(288))))**2 + sqrt(288)*-2 + 5.
-24*sqrt(2) + 10369
Simplify (5 + sqrt(52) + 0)**2 + 3.
20*sqrt(13) + 80
Simplify -2 + (5 + -4*(sqrt(539) - -1*sqrt(539) - sqrt(539)))**2.
-280*sqrt(11) + 8647
Simplify 2*(1 + sqrt(60)/(sqrt(12) - (sqrt(12) + sqrt(12) + sqrt(108))))**2.
-sqrt(5) + 21/8
Simplify (sqrt(2299)*1)**2 - sqrt(2299) - sqrt(2299) - (0 + sqrt(19) + sqrt(76)).
-25*sqrt(19) + 2299
Simplify (sqrt(11) - (sqrt(704) + -1)) + (sqrt(1584)*2)**2.
-7*sqrt(11) + 6337
Simplify 5*-6*(sqrt(448) + -2).
-240*sqrt(7) + 60
Simplify sqrt(27)/((-1*sqrt(45))/sqrt(5) - sqrt(9)).
-sqrt(3)/2
Simplify 2 + (sqrt(39)/(sqrt(27) - sqrt(3))*2)**2*-6.
-76
Simplify 3 + -2 + (-3*sqrt(931))**2.
8380
Simplify (-2 + sqrt(76)/sqrt(4) - sqrt(19)) + -3 + sqrt(19) + 0.
-5 + sqrt(19)
Simplify -4 + sqrt(10)/(-5*sqrt(5)).
-4 - sqrt(2)/
|
{
"pile_set_name": "DM Mathematics"
}
|
*t + 4*s - 3, -o*t + 3*s = 0. Suppose d = 2*d - t. Solve -c - d = -0 for c.
-3
Let i = 269 - 277. Let n be ((-80)/6)/(i/12). Solve l - n = 6*l for l.
-4
Suppose 16*z + 31 - 1055 = 0. Solve 9*k - 100 + z = 0 for k.
4
Let o(n) = n**3 - 6*n**2 - 2*n + 9. Let i be o(6). Let m(x) = -x**3 + 1527*x**2 + 6*x - 1528*x**2 - x + 4. Let t be m(i). Solve 0 = -5*w - t + 32 for w.
5
Let h be (-95)/(-4) - 2/4*44/(-88). Solve 5*g + 116 = -h*g for g.
-4
Let v = 230 + -239. Let k be (-5 - 51/v)*42. Solve 0 = -6*i + 4 - k for i.
-4
Let z = -13 - -15. Suppose -4*g + 180 = z*g. Suppose 8*k + g = 13*k. Solve -4*f + 10 = -k*f for f.
-5
Suppose 3*v - 2 = 5*f, 2*f = -4*v - 4 - 2. Let g be (41 - 34)*(0 - f). Solve o - 3 = -g for o.
-4
Let o(x) = 2*x**3 - 2*x**2 - 5*x + 1. Let p be o(3). Suppose -p*i = 27 - 71. Solve -v = i + 2 for v.
-4
Let m = 80 + -47. Let g = m + -47. Let l be (-4)/6*(0 + 105/g). Solve 3*d + l = 2 for d.
-1
Let v(i) = i**3 + 6*i**2 + 5*i - 3. Let p be v(-5). Let l be p - -1 - (-7 + (-24)/(-8)). Solve -t - t = l for t.
-1
Suppose -5*v - 3*b = -7*b - 99, 5*b = -5*v + 45. Solve -273*n + v = -278*n for n.
-3
Let z = 1 - -4. Suppose -4*q + 76 = 3*o, q - 13 = -3*o + 15. Let x be ((5/4)/(-1))/((-2)/q). Solve z*k + x = -5 for k.
-3
Let j(g) = -9*g - 184. Let x be j(-20). Let s be (-3)/((-6)/(-4)) - 44. Let h be s/69 + x/(-6). Solve y + h*y = -2 for y.
-2
Suppose 6*g - 5*o + 62 = 8*g, -3*g = 2*o - 60. Solve g = 19*b - 3*b for b.
1
Let t(w) = 2*w**3 - 28*w**2 + 2*w - 26. Let h be t(14). Suppose 4*r = 3*x + 14 - 28, 2*x + h*r = 0. Solve 5*y = -x*y for y.
0
Let f(o) = 41*o**2 + 244*o + 3. Let n be f(-6). Let m(g) = -g**3 + 17*g**2 - 34*g + 69. Let r be m(n). Solve -6*b - 3*b - r = 0 for b.
-1
Suppose -16*o - 3*n = -19*o + 408, 3*o - 2*n - 411 = 0. Solve o*s = 148*s - 36 for s.
4
Let b be 3/((-66)/(-4)) + (136266/858 - 9). Solve 8*j = -b + 190 for j.
5
Let y = 1200 + -1192. Solve y*r + 37 - 45 = 0 for r.
1
Suppose 5*a + 5*t = t + 27, t = -2*a + 9. Suppose 0*u - u - 4 = a*d, -5*d = 20. Solve 3*z + u = 7*z for z.
2
Let u(b) = 1506*b + 4582. Let r be u(-3). Solve 579*m - 587*m - r = 0 for m.
-8
Suppose 5*t + 77 = -103. Let u = 36 + t. Let m be 2 + -1 - (-300)/60. Solve 2*w + m = -u for w.
-3
Let h = -258 - -148. Let c be 6/(-20) - 803/h. Solve 10*i + 3 = c*i for i.
-1
Suppose 243 = 14*s - 681. Let l(g) = -g**2 + 3*g + 70. Let k be l(0). Let v = k - s. Solve 0 = -0*n - n - v for n.
-4
Suppose 0 = -181*p + 183*p + 3*q - 2231, 0 = -4*p + q + 4483. Solve -7*o + p - 1064 = 0 for o.
8
Suppose 4 = 2*m - m. Suppose 0 = 37*u - 72*u + 560. Solve 0*r + m*r = -u for r.
-4
Let b(c) = -3*c + 73. Let s(j) = -5*j + 147. Let g(h) = -13*b(h) + 6*s(h). Let w be g(8). Solve w*k - 5 = 4*k for k.
5
Let k(c) = 5*c**2 + 18*c + 71. Let h be k(-4). Suppose -7*j + 33 + h = 0. Solve 14*a + j = 10*a for a.
-4
Let x be (-2)/(-9) + (-337348)/(-28413) + 2/(-21). Solve -408*t + 405*t - x = 0 for t.
-4
Let x(d) = 2*d**3 - 9*d**2 + 3*d + 6. Let i be x(4). Let w be (i - 2) + (28 - 26). Solve -q - w = -0*q for q.
-2
Suppose 241*u - 238*u - 138 = 0. Suppose -u*n = -45*n - 16. Solve n - 12 = 4*k for k.
1
Let w be (93 + -93)/((-5)/(-1)). Suppose -3*c = -2 - 13. Solve w = -c*n - 1 - 19 for n.
-4
Suppose -2*a - 38 + 16 = 0. Let g be (-1)/(a/(-6) + -2). Let i be (-236)/531 + (-80)/(-18). Solve -i = -2*j + g*j for j.
-1
Suppose 2*w + 38 = 5*p - 99, 2*w = -p + 37. Suppose p = 4*d + 3*f, 3*d - 28 = 2*f + 15. Solve 3 - d = 2*l for l.
-4
Let x = -9396 - -9546. Solve x - 150 = 7*r for r.
0
Let d(j) = -2*j**3 - 44*j**2 + 27*j + 628. Let k be d(-22). Solve 0 = -8*s - k - 14 for s.
-6
Suppose -21*m + 44 = 4*v - 24*m, -2*v + m = -24. Solve 95*k = 102*k - v for k.
2
Suppose -p + 4*u + 434 = 0, -p + 5*u - 159 = -593. Solve -p*d + 20 = -439*d for d.
-4
Let t = 173 - -267. Let v = t + -406. Solve v = k + 29 for k.
5
Suppose 37*r - 4*y - 223 = 36*r, -r - 4*y + 263 = 0. Solve -42*u - 9 - r = 0 for u.
-6
Suppose 43 = 4*d + 3*x, -2*d = -6*d + x + 39. Suppose 0 = -4*p + d*p - 30. Let s be (p/(10/(-6)) - 1) + 8. Solve -1 = -a - s for a.
-3
Suppose -101*v + 1930 - 1153 = -2556. Solve 19*m - v = -128 for m.
-5
Suppose 2*p - 2*c - 436 = -318, -c + 265 = 5*p. Solve -h - p = 26*h for h.
-2
Let j(m) = -595*m + 4168. Let r be j(7). Suppose -4*f = f - 30. Solve b - r = -f for b.
-3
Let g be (1 - (1 + -2))/2*-37. Let c = g - -35. Let d(y) = -y**2 - 5*y - 4. Let j be d(c). Solve h = -h - j for h.
-1
Let c(q) = -6*q**2 + 108*q + 116. Let p be c(19). Solve -p = -13*l + 50 for l.
4
Suppose -5*u + 2166*b + 73 = 2169*b, -4 = b. Solve -11*z = u*z - 196 for z.
7
Let d(p) = -2*p**2 + 9*p - 7. Let o be d(8). Let k = o + 76. Solve -12*c = -k*c - 4 for c.
-4
Let w(s) = 15*s**2 - 18*s - 78. Let z be w(-2). Solve -27*j = -144 - z for j.
6
Let k(o) be the second derivative of -o**5/10 + o**3/6 + 2*o**2 - 4*o. Let l be (2/(-2) - -1)/(-2). Let n be k(l). Solve n*i - 8 = 8*i for i.
-2
Let r(t) = 9*t**2 - 24*t - 4. Let k be (-7)/((-49)/14) - (-1)/1. Let q be r(k). Solve q - 1 = -i for i.
-4
Let x be 65/4 - (-1)/(-4). Let g(t) = -29*t - 184. Let h be g(-8). Suppose 0 = -28*w + h + 64. Solve -w = 4*k - x for k.
3
Let i(w) = 5*w + 71. Let z be i(10). Let x = z - 118. Solve 0*u + 15 = x*u for u.
5
Let p = -96 - 162. Let t = p + 269. Solve t*f + 10 + 1 = 0 for f.
-1
Suppose 21 = -4*b + x, 5*b + 2 + 21 = -2*x. Let d be 2/(0 - b/20). Solve 7*k + d = 3*k for k.
-2
Let f(q) = -q**3 - 8*q**2 - 14*q + 24. Let v be f(-7). Let d = 73 - v. Solve -5*p + 4*p + 2 = d for p.
2
Let l(g) = 99*g + 8. Let k be l(-1). Let y = -82 - k. Solve -y*z = -4*z for z.
0
Suppose -96*z + 915 = -101*z. Let w = z + 183. Solve 4*m - 31 + 19 = w for m.
3
Let o = 50 + -45. Let s(g) = g. Let q be s(2). Suppose 2*l + q = 16. Solve -o*r - l + 27 = 0 for r.
4
Let p be 4/(-8) - (11/(-2) + 0). Suppose -3*z - p*z + 88 = 0. Let n = 3 + 2. Solve z - 1 = -n*m for m.
-2
Suppose r - 5*r = 0. Suppose 4*p - 956*b = -960*b + 84, 0 = p + 5*b - 97. Suppose -2*o = 2*o - 20. Solve r = -p*d + o*d - 6 for d.
2
Let x = -12144 + 12146. Solve x*t + 18*t = -20 for t.
-1
Suppose -14*w - 38*w + 9*w - w = 0. Solve -15*l + 10*l + 20 = w for l.
4
Let j = -20 + 29. Let f be 8 + ((-12)/8)/(j/12). Let r be (12/f)/(3/6). Solve -4*p = 16 + r for p.
-5
Suppose 4*s = -s + 155. Let n = s - 33. Let k be ((4 - 2) + -4)*n. Solve -k = 2*o - 0*o for o.
-2
Let y(s) = -s**3 + 19*s**2 + s - 15. Let n be y(19). Suppose -b - 4*p = -n, 0*p - p + 1 = 5*b. Solve b = -4*j - 11 + 15 for j.
1
Suppose -w + 0*w = -13. Suppose -w + 3 = -5*n. Let g(j) = -j**3 - 13*j**2 + 15*j - 216. Let m be g(-15). Solve -n*z = m - 3 for z.
-3
Let a = -63 - -287. Let n = -223 + a. Solve -k = n - 2 for k.
1
Let r = 15558 + -15555. Solve -r*h + 25 = 4 for h.
7
Suppose 4*c = -2*i + 14, 1 - 3 = 2*c + 4*i. Suppose -c*y - 10 = 5*v, -y = 15*v - 11*v - 1. Solve 7 = -2*r + v for r.
-3
Suppose -2*c = 3*r + 2, -4*c - 10*r = -6*r. Suppose -5*f - 5 = h, 19*f + c*h = 15*f - 10. Solve f = 20*a - 17*a for a.
0
Suppose 35 = z - 267*l + 270*l, -3*l + 81 = 3*z. Suppose 2*d = 4*d - 56. Solve -20 = z*h - d*h for h.
4
Let m be 4/14 + (-24)/(-14). Suppose 174*a - 170*a - 2*y = -10, -5*a - y + 19 = 0. Solve m*q = -a*q + 16 for q.
4
Let y(v) be the first derivative of v**4/4 - 4*v**3/3 - 17*v**2/2 - 28. Let b be y(7). Suppose -b = -6*n - n. Solve n*z = z - 12 for z.
-4
Let v be 2/6 + (-14)/((-42)/5). Solve -15*t + v = -14*t for t.
2
Suppose -41*c = 4*c - 270. Solve -18 = 12*z - c*z for z.
-3
Let r = -261 - -281. Suppose -r*k + 36 = -24. Solve 3 = -k*u + 2*u for u.
-3
Let n = 27 - 9. Suppose n*l + 12 = 48. Solve -l*j + 4 = -6 for j.
5
Let n be (162/45)/((-27)/(-90)). Solve 710*u = 707*u - n for u.
-4
Let c(i) = i**3 - 23*i**2 + 34*i + 235. Let j be c(21). Solve -j*z = -62*z + 20 for z.
-4
Let q be -19 + (-33 - -51) - -30*1. Solve 191 = 55*l - q for l.
4
Suppose 0 = -2*p, -3*q - 3*p + 30 = -2*q. Suppose 30*x = 24*x + q. Solve -5*w + x = 30 for w.
-5
Let g(u) = 2*u**3 + u**2 + 4. Let m be g(0). Suppose 5*o + 4*i + 0*i - 27 = 0, -15 = -m*o - i. Solve 3*b + 6 + o = 0 for b.
-3
Let r(v) = 995*v + 5207. Let w be r(-5). Solve -2 - w = -78*o for o.
3
Let x(q) = -q**2 - 20*q + 3. Let u be x(-20). Suppose -7*d - 3*d + 120 = 0. Solve d + u = -3*w for w.
-5
Let q(o) = 1 + o**3 + 0*o**3 + 7*o**3 - o
|
{
"pile_set_name": "DM Mathematics"
}
|
*l**2 - 344. Let p(j) = 80*j**2 + 686. Let r(w) = -6*p(w) - 11*z(w). What is the derivative of r(g) wrt g?
-58*g
What is the third derivative of -201*q - 12*q**2 - 188*q**5 + 210*q - 194*q**5 wrt q?
-22920*q**2
Suppose 0 = 12*t - 24 - 12. What is the first derivative of -7*a**4 + 3*a**4 - 14*a**4 + t - 8 wrt a?
-72*a**3
Find the third derivative of -2*f**2 + 1 + 9 - 45*f**4 - 4 + 54*f**6 - 58*f**6 wrt f.
-480*f**3 - 1080*f
Let p = -198 + 200. Let x(i) be the first derivative of 0*i**4 + 5*i + 0*i**3 - 2/5*i**5 - 1 + 0*i**p. Differentiate x(w) wrt w.
-8*w**3
Let w(t) be the third derivative of -571*t**5/60 - 31*t**4/24 - 5*t**3/6 + 308*t**2. What is the second derivative of w(u) wrt u?
-1142
Let l be (12/(-30))/(1/(-15)). Let p(h) = 2*h - 11. Let g be p(9). What is the second derivative of -l*y - 6*y**5 + 12*y - g*y**5 + y**5 wrt y?
-240*y**3
Let l(v) = -2*v + 1. Let x(o) be the second derivative of 23*o**3/6 + 25*o**2/2 - 25*o. Let w(i) = -6*l(i) + x(i). Differentiate w(f) with respect to f.
35
Let n(b) = 69*b**3 - 218*b**2 + 4*b - 12. Let s(k) = -k**2 + k - 3. Let p(w) = n(w) - 4*s(w). What is the third derivative of p(c) wrt c?
414
Let j(n) = -n**3 - 26*n**2 + n + 29. Let q be j(-26). What is the third derivative of -15*u**3 - 4*u**q - 23*u**2 + 6*u**3 + 3*u**2 wrt u?
-78
Let n(a) be the third derivative of -83*a**5/60 + 11*a**4/12 - a**3/6 - a**2 + 37. What is the second derivative of n(i) wrt i?
-166
Suppose -2*y + 10 = v, -v + 6*v + 20 = 4*y. What is the second derivative of y*q + 5*q - 4*q - q**2 wrt q?
-2
Let a(b) be the first derivative of 6*b**5/5 + b**4/4 - 39*b**3 - 2*b - 289. Find the third derivative of a(x) wrt x.
144*x + 6
Let t(y) = 0*y**3 + 6*y + 0*y**2 - 4*y**2 - 5 - 2*y**3 + 3*y**3. Let j be t(3). Find the first derivative of -4*o**j + 4*o**4 - 9 - 5*o**4 - 4*o**4 wrt o.
-36*o**3
Let m(l) be the second derivative of -14*l + 0*l**2 + 0 - 19/30*l**6 + 0*l**4 + 0*l**5 - 7/6*l**3. What is the second derivative of m(g) wrt g?
-228*g**2
Let c(s) be the first derivative of -3*s - 2 + 0*s**3 + 5/2*s**2 - 1/4*s**4. Let a(b) be the first derivative of c(b). What is the derivative of a(z) wrt z?
-6*z
Let a(s) be the second derivative of 12*s**8/7 - 47*s**4/6 + 136*s. What is the third derivative of a(x) wrt x?
11520*x**3
Let l = -15 + 19. What is the first derivative of 12*b**4 + 2 + 2*b**4 + 0*b**l + 18 wrt b?
56*b**3
Differentiate -9 - 14 - 23 - 97*i**4 - 37 wrt i.
-388*i**3
Let z(b) be the third derivative of b**7/84 + b**6/180 - 8*b**3/3 - 17*b**2. Let i(j) be the first derivative of z(j). Find the third derivative of i(h) wrt h.
60
Let w be (-82)/8 + 6/24. Let a be w/(-15) - 19/(-3). What is the second derivative of -k**5 + a*k**5 + k - 7*k wrt k?
120*k**3
Let w = -6 + 10. Suppose 4*y + 9 = 1, -2*x = 4*y - w. Find the second derivative of -3*d**4 + x*d + 0*d + 5*d**4 wrt d.
24*d**2
Find the third derivative of 5*u - 45*u**2 - 28*u**5 - 22*u - 49*u**2 + 91*u**2 wrt u.
-1680*u**2
Let s(d) = d**2 + 6*d + 4. Let o be s(-6). What is the derivative of -10 + 9*p**o - 17 + 15 wrt p?
36*p**3
Let h = 13 - 9. Differentiate 6*v + 3*v + 17 + 7 - h*v wrt v.
5
Let g(v) be the first derivative of -19*v**6/2 - 85*v**3/3 + 30. What is the third derivative of g(h) wrt h?
-3420*h**2
Suppose -5*o + 5 = -15. Suppose 21 = o*g + b, -34 = -2*g + 4*b - 10. Find the first derivative of 1 - 14*r**4 + 1 + g*r**4 wrt r.
-32*r**3
Let r = -38 - -44. Differentiate -11 - r*l**3 + 14*l**4 + l**3 + 5*l**3 wrt l.
56*l**3
Let n(r) = -2*r**3 + 7*r. Let l = -22 + 24. Let v(b) = -6*b**3 + 21*b. Let z(k) = l*v(k) - 7*n(k). Find the second derivative of z(g) wrt g.
12*g
Let f = 92 + -84. What is the second derivative of 23*o**5 + 8*o**3 + 0*o**3 + 47*o - f*o**3 - 2*o**2 wrt o?
460*o**3 - 4
Let s(i) = 3*i**2 - i. Let o be s(-1). What is the second derivative of 44*g + g**4 + o*g**2 - 4*g**2 - 43*g wrt g?
12*g**2
Let b(h) = 160*h**2 + 5*h + 36. Let c(w) = -162*w**2 - 6*w - 38. Let x(a) = 7*b(a) + 6*c(a). What is the second derivative of x(k) wrt k?
296
Let c(p) = 104*p + 100. Let z(l) = 105*l + 98. Let g(t) = 4*c(t) - 5*z(t). What is the derivative of g(n) wrt n?
-109
What is the second derivative of -2 + 2 - 12*c + 151*c - 22*c**2 - 168*c**2 wrt c?
-380
What is the third derivative of -3 + 8849*y**3 + 0*y**2 - 8849*y**3 + 54*y**5 + 3*y**2 wrt y?
3240*y**2
What is the third derivative of 2*s**4 + 451*s**2 - 43*s**3 - 150 + s**3 - 225*s**2 - 224*s**2 - 83*s**3 wrt s?
48*s - 750
Let m(n) = -n**3 - 6*n**2 + 16*n + 4. Let z be m(-8). Find the third derivative of -12*f**4 + 20*f**z + 8*f**4 + 31*f**2 - 3*f**2 wrt f.
384*f
Let g be 48/10 - (-1)/5. Let r = g - 3. Find the second derivative of 2*a + 7*a - 6*a + 2*a**r wrt a.
4
Let p be 12/(-9)*((0 - 8) + -1). Find the third derivative of 37*c**2 - 17*c**2 - 18*c**2 - p*c**3 + 34*c**3 wrt c.
132
Suppose -5*d - 18 = -3*y + 28, 4*d - 52 = -5*y. Differentiate 2*a + 6*a**2 - 1 - 2*a + y wrt a.
12*a
Suppose 3*g - 3*a = 0, -4*a + 12 = 3*g - g. Let u be 0 + 5 + 2/g. Find the third derivative of 2*v + 6*v**2 - 2*v**2 - 2*v + u*v**5 wrt v.
360*v**2
Let y = 11 + 23. What is the derivative of -67*r + 34*r + y*r + 24 wrt r?
1
Let j(b) be the first derivative of b**7/30 - 3*b**4/8 + 6*b**2 + 9. Let f(m) be the second derivative of j(m). What is the second derivative of f(o) wrt o?
84*o**2
Let v(z) = 11*z**3 - 208*z**2 - 94*z - 1. Let y(a) = -18*a**3 + 312*a**2 + 142*a + 2. Let k(n) = 8*v(n) + 5*y(n). What is the second derivative of k(m) wrt m?
-12*m - 208
Let b be 281/2*408/4. What is the third derivative of 14331*t - b*t - 39*t**2 + 12*t**6 wrt t?
1440*t**3
Let q(f) = 11*f**2 - 3*f + 3. Let i be q(1). Find the second derivative of -68*x**5 + i*x**5 - 1 - 47*x + 39*x wrt x.
-1140*x**3
Let x(c) be the third derivative of -23*c**6/30 + c**5/5 + c**3/3 - 26*c**2 - 2*c. What is the third derivative of x(j) wrt j?
-552
Let b = 20 + 16. What is the second derivative of -7*q - 2*q**5 - 36*q**4 + b*q**4 - 13*q wrt q?
-40*q**3
What is the second derivative of 3 + 30*u**3 - 2*u**2 - 5 + 44*u + 59*u**3 - 16*u wrt u?
534*u - 4
Let y(a) = -5*a - 55. Let l(q) = -2*q - 18. Let s(u) = 8*l(u) - 3*y(u). Let n be s(11). What is the third derivative of -n*m**6 + 4 + 4*m**2 - 2*m**2 - 4 wrt m?
-1200*m**3
Let n(q) = 59*q**2 - 15*q + 1. Let h(y) = 294*y**2 - 73*y + 6. Let m(r) = 2*h(r) - 11*n(r). What is the second derivative of m(p) wrt p?
-122
What is the first derivative of 5*t - 405 - 88 - 7*t - 10*t wrt t?
-12
Let n(i) = 656*i**3 - 344*i**2 + 5*i - 15. Let k(h) = 655*h**3 - 345*h**2 + 4*h - 12. Let d(z) = -5*k(z) + 4*n(z). What is the third derivative of d(p) wrt p?
-3906
Let h(l) be the first derivative of l**5/4 - 2*l**4/3 + 6*l - 8. Let t(f) be the first derivative of h(f). What is the third derivative of t(u) wrt u?
30
Let n(g) = g**2 - 15*g + 9. Suppose 5*w = 55 + 20. Let v be n(w). What is the first derivative of -v*c**2 - 5 + 0 + 10*c**2 wrt c?
2*c
Let k(l) = -3*l. Let p(x) = 4*x. Let h(q) = -3*k(q) - 2*p(q). Let t be h(3). Find the second derivative of 4*b**t + 6*b**3 + 3*b - 7*b**3 wrt b.
18*b
What is the first derivative of -21*r**3 - 23*r**3 - 18 + 62 wrt r?
-132*r**2
Let c(g) be the first derivative of -g**4/2 - 19*g**3/3 + 36*g**2 + 2*g + 284. Find the second derivative of c(w) wrt w.
-12*w - 38
Let f(b) be the second derivative of 145*b**7/42 - b**4/12 - 82*b**3/3 - b + 32. Find the third derivative of f(o) wrt o.
8700*o**2
Let r(o) = 346*o**3 - 2*o + 23. Let x(p) = -p**3 - 6. Let m(b) = -r(b) - 3*x(b). Find the second derivative of m(t) wrt t.
-2058*t
Let v(d) be the third derivative of 53*d**8/24 - 49*d**5/30 - 2*d**2 - 52*d. What is the third derivative of v(n) wrt n?
44520*n**2
Let t(v) = -5*v - 11. Suppose -2*l = -l - 3. Let o(w) = 6*w + 11. Let i(p) = l*o(p) + 2*t(p). Differentiate i(b) with respect to b.
8
Find the first derivative of 1305*m - 1293*m + 6 + 47 wrt m.
12
Let c = -4 + 6. Differentiate 3*n**2 - 3 - 7*n**c - 5*n**2 wrt n.
-18*n
Suppose 34 = 3*w - 5*f, 7 + 3 = -2*f. Suppose 4*h = 4*c + 8, h - 4*h + 18 = 3*c. What is the first derivative of -5*m + 2 + w - h - 2 wrt m?
-5
Let u = 42 + -24. Differentiate -2 - 23*y + u + 8*y with respect to y.
-15
Let p(i) = -13*i**3 + 7*i**2 - 4*i. Let c be 7/2 - (-1)/2. Let y(o) = -o**3 + o**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
t equal to -2/3?
True
Let h be ((-38)/(-8))/((-1)/4). Let a be (0 + 4 + h)/(-8). Which is smaller: 1 or a?
1
Suppose 2*p - 3*p + 51 = 0. Let f be (-3)/408 - 6/p. Is f smaller than 0?
True
Let q = 40 - 39. Is 11/9 at least as big as q?
True
Let w(g) = -g**3 + 5*g - 2. Let p be w(2). Which is bigger: 1/22 or p?
1/22
Let x = 0.3 - 0.4. Let d = x - 0.9. Let f be (-1)/(((-27)/(-6))/(-3)). Are f and d equal?
False
Let n(m) = -m**3 + m. Let s(k) = -3*k**3 - 9*k**2 + 5*k - 13. Let y(z) = 4*n(z) - s(z). Let x be y(9). Let o be (-3)/(-2)*x/6. Which is smaller: o or -1?
-1
Let a be -4 - (-6)/63*57. Is 0 bigger than a?
False
Suppose -3*n + 8 = 2*b + 1, 3*n - 3*b - 12 = 0. Let z = -2 + n. Let i = -2 - -2. Which is bigger: z or i?
z
Let q(w) = -3*w + 1. Let i be q(1). Let o be i/5 - (-32)/(-20). Suppose 0*n - 3*n = -2*f - 15, -5*n = 5*f. Is o at least f?
True
Suppose g = 2*m - 24, -5*m + 3*g = -g - 57. Is 35/3 at most m?
True
Suppose 3*m - 1 = -7, 3*m + 6 = z. Are z and 3 nonequal?
True
Let b = 39 - 32. Is 6 != b?
True
Let g = -54 + 56.1. Which is smaller: 0.1 or g?
0.1
Suppose 20 = -4*u + 5*s, -2 - 2 = u - s. Suppose i - 3*i + 5*x = 3, -x = -2*i + 1. Let v = i - 1. Is u > v?
False
Let v(s) = -s**3 - 8*s**2 - 11*s + 6. Let w be v(-6). Which is bigger: 2/99 or w?
2/99
Let i = -0.1 - -1.1. Let s = 1.9 - 0.9. Let y = s + i. Which is greater: -1 or y?
y
Let p = 2572.99 + -2554. Let w = 19 - p. Is w smaller than 0.1?
True
Let y = 46 - 16. Is y != 29?
True
Let a = -29 - -32. Which is smaller: -7 or a?
-7
Let h be -3*2/(-9)*3. Suppose -h*v - 2*v = t + 17, -2*v - 16 = -2*t. Which is smaller: 4 or t?
t
Let x = 1.2 - 0.9. Which is bigger: x or 3?
3
Let c be 4/(-2) + (-1886)/(-154). Let j = c + -73/7. Let h(x) = x - 8. Let g be h(8). Which is greater: g or j?
g
Suppose -2*c + 18 = -3*v + 6, -2*c = -6. Let w(y) = -y**3 - 5*y**2 - 6*y - 4. Let l be w(-4). Suppose 0 = 2*o + l. Are v and o equal?
True
Let v be -39 - (0 + (0 - -1)). Let t be (-216)/v + 2/(-5). Which is greater: t or 11/2?
11/2
Let c = -190/9 - -21. Let f(w) = -w**3 - 2*w**2 + 2*w - 3. Let r be f(-3). Is r not equal to c?
True
Suppose -k - k + 4 = 0. Let b = 0 + k. Let j = 13 + -41/3. Which is bigger: j or b?
b
Let d be (-29)/3*28/(-3). Let v be (-30)/7*(3 + -24). Let b = d - v. Is b smaller than 1?
True
Let o = 1.04 + -0.64. Is o smaller than 4?
True
Let o(g) = -4*g - 23. Let a be o(-6). Is 1/31 greater than a?
False
Suppose 0 = 4*g - u + 1, -3*u + 0 + 12 = -3*g. Does g = 2/25?
False
Suppose -7 = 4*b - 39. Suppose -2*m - b = -4*m. Is m <= 2?
False
Let q = 9 + -5. Suppose q*f = 10 + 6. Let y = 0.07 + -0.17. Is y <= f?
True
Let u(a) = -a**3 - 9*a**2 - 14*a - 6. Let h be u(-7). Is h at most as big as 2?
True
Let i = -5 - -6. Let q(c) = -c**2 + 6*c - 2. Let g be q(5). Let f = i - g. Which is greater: f or -1?
-1
Suppose 5*i = -3*y - 4, 5*y + 20 - 2 = 3*i. Let h be 0 + (3 - i) + 1. Suppose -p = -2 + h. Which is smaller: -1/5 or p?
p
Let t = 26 - 105/4. Is -1 at most t?
True
Let g(l) = -l**2 - 5*l - 3. Let o be g(-5). Let a be 1 - 2 - (8 + o). Which is smaller: a or -8?
-8
Let l = 0.01 + -0.13. Let p = 0.02 + l. Is 3 less than or equal to p?
False
Let h = -0.2 - 0.1. Let j be 2/(-16)*1*2. Is h <= j?
True
Suppose -52 = -4*y - 4*k, -2*y = -y + 5*k - 1. Let g = -10 + y. Suppose -3*z = 2*t + 2*t + 8, 0 = 2*t + 4*z - g. Is -4 <= t?
False
Let y = -1.3 - -0.3. Suppose -3*o - b = 8, 3*o + 2 = 2*b + 9. Is o less than or equal to y?
True
Let r = 13 - 9. Which is smaller: -2 or r?
-2
Let r(d) = d**3 + 8*d**2 + 7*d - 1. Let h be r(-7). Let o = 3347/15 + -223. Is o less than or equal to h?
False
Let c = 38 - 26. Suppose 1 = -z, -z = -2*q + 1 + c. Which is smaller: 7 or q?
q
Let d = 9 + -8.1. Let j = -1.6 + d. Let n = 3.3 - j. Which is smaller: 1 or n?
1
Let z be (0/(-2))/(20/10). Let n be (-5)/(35/(-6))*1. Which is smaller: z or n?
z
Let l = -11.9 - -14. Is l != -0.2?
True
Let d = -0.3 + 0.309. Let g = d + 5.081. Let s = -0.09 + g. Which is smaller: s or -0.1?
-0.1
Let s = -55/107 + 11177/34026. Let l = s - -1/53. Does l = 1?
False
Let u = -6 - -14. Let q = 6 - u. Which is smaller: q or 0?
q
Let z = -2726/3 - -2836/3. Let x = 9866/37 + -178918/777. Let w = x - z. Which is greater: -2/3 or w?
w
Suppose -3*v = -4*v + 4. Suppose 2*d - v*p + p = -6, -p = -5*d - 2. Let i be 4 - (3 + 15/10). Which is greater: i or d?
d
Suppose -a = 4*a. Which is bigger: 9/7 or a?
9/7
Let y = -3.1 + 0.1. Is y smaller than -0.1?
True
Let g = 41 - -34. Is g at least 75?
True
Let x = 2.11 + -0.11. Let q = 0.01 - -0.39. Let g = 0.5 - q. Which is bigger: g or x?
x
Let k = 22 - 14. Suppose 3*s + 3*x = -3 - 9, 4*x = -k. Which is greater: s or -3/2?
-3/2
Let o = 0.07 + -6.07. Let j = o + 6.8. Let y = 0.83 - j. Is 1 <= y?
False
Suppose -2*i - 25 = -0*i - 5*u, 0 = i - 3*u + 15. Let n be 4/(-6) - (-34)/6. Suppose 0 = -4*g - n*w + 9, -g + w = -i*w. Are g and 0 non-equal?
True
Let a be 3/((-3)/(-4)) - (-1711)/(-472). Let u(o) = o**2 + 6*o + 4. Let b be u(-5). Which is smaller: b or a?
b
Let i = 4 + -3. Suppose 0 + i = u. Which is smaller: u or -0.03?
-0.03
Suppose 0 = -25*w + 20*w - 15. Let c(b) = -5*b + 7. Let k(l) = 6*l - 8. Let u(q) = 5*c(q) + 4*k(q). Let t be u(6). Is w < t?
False
Let s = -1 + -2. Let m be (5/s)/5*-3. Which is smaller: 5/6 or m?
5/6
Let n = 11 + -14. Is n smaller than -1?
True
Let n = -33 + 37. Is -7 > n?
False
Let p = 1 + -14. Which is smaller: -12 or p?
p
Let d(o) = o**3 - 2*o**2 - 2*o - 6. Let g be d(3). Which is greater: -4 or g?
g
Suppose -g - 3*q - 36 = 2*g, -5*g - 52 = 3*q. Let n be 124/g + (-1)/(-2). Let h be ((-2)/n)/((-2)/12). Is h less than -1?
False
Let y = 0.035 - -0.965. Which is smaller: -29/4 or y?
-29/4
Let s(v) = 66*v**2 - 7*v - 7. Let l be s(-1). Does -1 = l?
False
Let w = 2 + 1. Suppose -5*q + 6 = -s, w*q + 0*q = -s + 18. Is 9 >= s?
True
Let a(s) = -5*s - 3. Let t be a(3). Let p = -3 - t. Suppose 4*y - 2*r = -3*r + p, -3*r = 3. Are 5 and y nonequal?
True
Let w(u) = 5*u**2 - u. Let a be w(1). Let i be 27/(-63)*2/a. Which is smaller: 0 or i?
i
Let d(t) = 4*t + 19. Let i be d(3). Is 29 <= i?
True
Let y be 6/10 + (-2 - -2). Let d = 1.4 + -1.4. Which is greater: d or y?
y
Let p = -0.044 + -1.956. Is p less than -67?
False
Suppose 3*n + 0*n = 6. Let w be (-2)/n*(-3)/(-3). Let i = -1/58 + -109/406. Do w and i have the same value?
False
Let j(h) = -h**2 - 5*h + 5. Let b be j(-5). Let a be (b + -2)/(6/4). Is 4 less than or equal to a?
False
Suppose 1 = l + 13. Is -12 at least l?
True
Suppose -4 = -3*p + 2*p. Suppose -8 = p*h + 4*m, 0 = -3*h + 5*m - 2 + 4. Is h bigger than -1/3?
False
Suppose -11 = -4*q + 17. Let o = 5 - q. Which is smaller: -1 or o?
o
Suppose -5*s - 5 = -p, 4*s - 3*p = 2 - 17. Which is smaller: s or -1?
-1
Let v(n) = -4*n - 2*n - 8 - n + n**2. Let b be v(8). Do b and -2/9 have the same value?
False
Let j = 78 + -111. Is j greater than or equal to -33?
True
Let g = 76 + -381/5. Which is greater: g or -1?
g
Let u = 1 - -3. Let k = -1 + u. Which is smaller: k or 2/7?
2/7
Let o(f) = -10*f + 44. Let i be o(6). Which is greater: -17 or i?
i
Let c = 3 + -21. Is -18 at most as big as c?
True
Let f = 6 + 8. Let b = 3.8 + -3.8. Which is bigger: f or b?
f
Let f = 0.25 + -4.25. Is f at most as big as -0.2?
True
Let k be (-3 - 81/(-12))*-4. Let d be (-11)/15 - 6/k. Which is smaller: d or 3?
d
Let v = -18.1 - -17.9. Let l = -0.1 - -0.2. Let d = -0.1 + l. Which is smaller: v or d?
v
Let i = 4 + -2. Let j = 3 - i. Let n be 4/j + (5 - 7). Does n = 2?
True
Suppose -p = -3*p - 10. Let b = -1 - p. Suppose -5*t + y + b = 17, -5*y - 10 = 0. Which is smaller: 1/2 or t?
t
Let p be 6/(-4)*(-4 - 150/(-36)). Is -2.1 smaller than p?
True
Let n be -3 - (2/11 - 140/44). Is n < 2/21?
True
Let t = 0 + -0.05. Let q be 3/1 - (1 - 4). Let u be (((-4)/q)/2)/1. Is t greater than u?
True
Let f(s) = s**2 - s + 24. Let c be f(0). Suppose 5*i = -20, i + 3*i = 5*h + c. Let m = h + 7. Which is smaller: m or 1/4?
m
Suppose 3*u + 14 + 0 = -4*p, -2*u - p - 1 = 0. Let d = -2 + u. Let f(i) = i**2 - 5*i + 3. Let t be f(4). Is t less than d?
True
Let z be (-39328)/(-12) + 2/3. Let r be z/(-42) - (-4)/(-14). Let j = r - -77. Is 0 at most as big as j?
False
Suppose t = -2*m - 8, 3*t + 3*m + 16 = t. Let d = -3 - t. Let s be 14/(-8)*(4 - d). Which is greater: 1
|
{
"pile_set_name": "DM Mathematics"
}
|
and 40.
10
What is the greatest common factor of 2 and 19286?
2
Calculate the greatest common divisor of 69479 and 134.
67
Calculate the greatest common divisor of 472527 and 891.
297
Calculate the greatest common divisor of 713148 and 268.
268
What is the highest common factor of 3792 and 3081?
237
Calculate the highest common factor of 3 and 153789.
3
What is the highest common factor of 1227290 and 9630?
1070
Calculate the highest common factor of 2174558 and 16142.
2306
What is the greatest common divisor of 55 and 22968?
11
What is the highest common divisor of 119 and 4398002?
119
Calculate the greatest common factor of 1661 and 781.
11
Calculate the highest common factor of 1245330 and 1507.
137
What is the highest common divisor of 21967 and 55?
11
Calculate the greatest common divisor of 14084 and 56.
28
What is the greatest common factor of 20 and 63410?
10
What is the highest common divisor of 1855 and 175?
35
What is the highest common factor of 7590 and 10810?
230
What is the greatest common divisor of 14145 and 3444?
123
What is the highest common divisor of 39 and 1116609?
39
What is the greatest common factor of 24430 and 938?
14
What is the highest common factor of 34 and 144517?
17
Calculate the highest common factor of 145359 and 279.
279
Calculate the greatest common divisor of 745998 and 712.
178
Calculate the greatest common divisor of 4774 and 15092.
154
What is the highest common divisor of 202131 and 12321?
333
What is the greatest common divisor of 8622 and 117?
9
What is the highest common factor of 106970 and 570?
190
What is the highest common factor of 1536372 and 72?
36
What is the greatest common factor of 42444 and 252?
36
What is the highest common factor of 126 and 218358?
126
Calculate the greatest common factor of 10187 and 610.
61
Calculate the greatest common divisor of 64366 and 14.
2
What is the greatest common divisor of 2077 and 335?
67
Calculate the highest common divisor of 7189 and 17696.
553
Calculate the greatest common divisor of 456880 and 320.
80
What is the greatest common divisor of 10192 and 893074?
1274
What is the greatest common divisor of 1122 and 4794?
102
What is the highest common factor of 351 and 546156?
351
What is the greatest common factor of 1820 and 707?
7
Calculate the highest common factor of 92 and 25093.
23
What is the highest common factor of 552294 and 72?
18
What is the highest common divisor of 492 and 126444?
492
Calculate the greatest common divisor of 729246 and 8592.
1074
Calculate the greatest common divisor of 14787 and 11925.
477
Calculate the greatest common factor of 99 and 210969.
99
What is the highest common factor of 24 and 126544?
8
Calculate the highest common divisor of 2808 and 11394.
54
What is the greatest common divisor of 368 and 17434?
46
What is the highest common factor of 1097199 and 108?
27
What is the greatest common factor of 129085 and 1375?
55
What is the highest common factor of 429906 and 18?
6
What is the greatest common divisor of 2298 and 1019546?
766
Calculate the highest common divisor of 2478 and 1470.
42
What is the highest common divisor of 7355 and 95?
5
What is the greatest common factor of 87162 and 12?
6
What is the highest common factor of 47625 and 70125?
375
What is the highest common factor of 508166 and 10?
2
Calculate the greatest common factor of 248 and 160.
8
What is the greatest common divisor of 310 and 1286934?
62
Calculate the greatest common factor of 234 and 21934926.
234
Calculate the highest common factor of 32235 and 165.
15
What is the highest common divisor of 639 and 22507?
71
What is the greatest common divisor of 9295 and 275?
55
Calculate the greatest common divisor of 420 and 466305.
105
What is the highest common divisor of 11376 and 8352?
144
What is the highest common divisor of 8519455 and 1645?
1645
What is the greatest common factor of 154002 and 6?
6
Calculate the greatest common factor of 1302 and 486.
6
What is the highest common divisor of 9 and 3369?
3
What is the highest common factor of 4728506 and 1198?
1198
Calculate the highest common divisor of 110 and 19492.
22
What is the highest common divisor of 40 and 3977020?
20
Calculate the greatest common divisor of 388 and 49664.
388
Calculate the greatest common factor of 1073 and 548599.
37
What is the greatest common factor of 126 and 17451?
63
Calculate the highest common factor of 8007 and 816.
51
Calculate the greatest common factor of 527000 and 10.
10
What is the highest common divisor of 1453825 and 175?
25
What is the greatest common factor of 7 and 59101?
7
What is the highest common divisor of 1911 and 3871?
49
What is the highest common factor of 1950 and 27000?
150
What is the highest common divisor of 838049 and 119?
17
Calculate the highest common factor of 42539 and 2369.
103
What is the greatest common divisor of 930 and 87048?
186
Calculate the highest common divisor of 3380 and 1960.
20
Calculate the highest common factor of 102649 and 46.
23
What is the highest common divisor of 939939 and 693?
231
What is the greatest common factor of 1725 and 33925?
575
What is the greatest common divisor of 366 and 44408?
122
What is the greatest common factor of 2013 and 201?
3
What is the highest common factor of 12 and 33036?
12
Calculate the highest common divisor of 116 and 130616.
116
Calculate the greatest common factor of 34358 and 51118.
838
Calculate the greatest common factor of 63 and 21959.
7
Calculate the greatest common factor of 9469 and 323.
17
What is the highest common divisor of 15475 and 4200?
25
What is the greatest common factor of 3663 and 118585?
37
What is the greatest common factor of 399 and 60837?
21
What is the greatest common divisor of 88902 and 2442?
66
What is the greatest common factor of 126 and 1170372?
42
Calculate the highest common factor of 225129 and 21.
3
Calculate the greatest common factor of 3900 and 20488.
52
What is the highest common factor of 4303 and 22508?
331
What is the greatest common factor of 4012 and 3304?
236
Calculate the highest common factor of 456 and 524.
4
Calculate the highest common divisor of 1656 and 12.
12
Calculate the highest common divisor of 665 and 2525005.
665
What is the greatest common divisor of 193349 and 278?
139
Calculate the greatest common divisor of 595561 and 34.
17
What is the greatest common divisor of 1243740 and 480?
60
Calculate the greatest common divisor of 2101770 and 1210.
1210
Calculate the highest common divisor of 762 and 146050.
254
What is the greatest common divisor of 9 and 15681384?
9
Calculate the greatest common factor of 24 and 33464.
8
What is the highest common divisor of 24 and 48498?
6
What is the greatest common factor of 4220 and 2720?
20
Calculate the highest common divisor of 443850 and 90.
30
Calculate the greatest common divisor of 171 and 68319.
9
What is the greatest common factor of 7 and 9697?
1
Calculate the highest common factor of 732 and 3162606.
366
What is the greatest common factor of 11220 and 4420?
340
What is the highest common factor of 10575 and 1551?
141
What is the greatest common divisor of 690 and 5376?
6
Calculate the highest common factor of 11711 and 239.
239
What is the greatest common divisor of 118184 and 51271?
869
What is the greatest common factor of 2745 and 10492?
61
What is the greatest common factor of 6624 and 954960?
1104
Calculate the highest common divisor of 27533 and 33.
11
Calculate the highest common factor of 2760 and 2520.
120
Calculate the highest common factor of 3 and 85971.
3
Calculate the highest common divisor of 7695 and 8265.
285
What is the greatest common factor of 399 and 6897?
57
Calculate the highest common divisor of 10 and 106.
2
Calculate the greatest common factor of 297 and 8547.
33
Calculate the greatest common factor of 187434 and 405.
81
What is the highest common divisor of 228 and 233472?
228
What is the greatest common divisor of 41583 and 332?
83
Calculate the greatest common factor of 225144 and 1431.
477
Calculate the greatest common factor of 261 and 4263.
87
What is the highest common factor of 57812 and 1940?
388
What is the greatest common divisor of 217470 and 55?
55
What is the greatest common factor of 5675574 and 12?
6
Calculate the highe
|
{
"pile_set_name": "DM Mathematics"
}
|
-12. Let d = -18.4 - m. Put -0.06, 4, d in decreasing order.
4, -0.06, d
Let f = 0.7 - 0.58. Let g = -168 + 163.12. Let k = g - f. Sort k, 2/9, -1.
k, -1, 2/9
Let r = 0.3 + -0.1. Let j = 1.04 - 0.04. Sort -5, r, j in increasing order.
-5, r, j
Let k be (5/(-2))/(1/(-2)). Sort -8, -4, k in decreasing order.
k, -4, -8
Let f(s) = -4*s**3 - 6*s**2 + 5*s + 16. Let m(j) = -3*j**3 - 7*j**2 + 4*j + 15. Let a(v) = 2*f(v) - 3*m(v). Let l be a(-9). Sort -5, -1, l in descending order.
l, -1, -5
Let z = 0.15 - -1.35. Let h = -1 + z. Sort h, 0, -1/5 in decreasing order.
h, 0, -1/5
Let k = -56 + 58. Let q = 0.4 - 0.4. Sort k, -5, q in descending order.
k, q, -5
Let g be 18/81 + 32/18. Put g, 1, -1 in descending order.
g, 1, -1
Let l = -1.8 + -6.2. Let s = l - -6. Put 0.2, -5, s in increasing order.
-5, s, 0.2
Let v = -49/10 + 22/5. Sort 0.3, -1, v in descending order.
0.3, v, -1
Let n = 3.3 - 3. Let l = n + -0.2. Let a = -30 + 61/2. Sort l, -3, a.
-3, l, a
Let q = 49 - 52. Put 0, 5, q in ascending order.
q, 0, 5
Let p be (-1)/(2/(-2 + 4)). Sort 6/11, p, -2 in increasing order.
-2, p, 6/11
Let h be 2574/(-15) - (-4)/(-10). Let b = 1546/9 + h. Let p = 2 - -1. Put b, p, -1 in decreasing order.
p, b, -1
Suppose 8 = -2*s + 6*s. Let t be (-2)/(2/(-10)*s). Let v be (-1 - (-1)/(-2))/((-6)/12). Put -5, v, t in decreasing order.
t, v, -5
Let g = 102.1 - 102. Sort 0.07, 5, g, 1/4 in ascending order.
0.07, g, 1/4, 5
Let b = 1 + -1.2. Let h be (8/20)/(32/70) - 1. Let k be 2/(-12) - (-7)/18. Sort b, k, h in decreasing order.
k, h, b
Suppose -u - 8*u = -9. Sort 3, u, -6, 5 in ascending order.
-6, u, 3, 5
Suppose -u + 6 = -2*s, -3*u = 2*u - s - 12. Sort 5, u, -2.
-2, u, 5
Let m = -1/127 - 118/1143. Sort -5, 0.02, m in decreasing order.
0.02, m, -5
Suppose 5 = -c, s + 5*c + 13 = -15. Let o be 2 - (1 - -2*1). Sort 2, s, o in increasing order.
s, o, 2
Let g = -0.2459 + 0.0459. Let j be 1/(-4) + (-1281)/(-20). Let b = j - 63. Sort 2, b, g.
g, b, 2
Let m = 8.1 - 7. Let t = -2.9 - m. Sort t, 0.5, 2/9 in decreasing order.
0.5, 2/9, t
Let v(t) = 14*t**2 - 2*t - 6. Let c(h) = -5*h**2 + h + 2. Let s(k) = 17*c(k) + 6*v(k). Let r be s(3). Put -5, r, 0 in decreasing order.
r, 0, -5
Let j(x) = -x**2 + 6*x - 1. Let i be j(6). Let b(h) = 2*h + 6. Let w be b(-6). Sort i, w, 2 in ascending order.
w, i, 2
Let r(f) = -f - 5. Let b be r(-10). Let t be (b - 0)*2/(-2). Let j = 39/8 + t. Put -0.3, 0.2, j in decreasing order.
0.2, j, -0.3
Let a = 35.2 + -39. Let y = -4 - a. Put y, -3, -2 in descending order.
y, -2, -3
Let w = 1999435/11 + -181616. Let r = w + -151. Sort 0, r, 2 in descending order.
2, 0, r
Suppose -5*d + 128 = 53. Let m = d + -16. Sort m, 7, 4 in increasing order.
m, 4, 7
Let l = -1.1 + 1.12. Let v = l + -3.02. Sort -1/3, v, -0.03 in ascending order.
v, -1/3, -0.03
Let k = 2 - 2.08. Put 3/4, k, -3 in ascending order.
-3, k, 3/4
Let z = 0.7 - 4.7. Let f be 22/(-18) - 8/(-36). Put 2/3, f, z in descending order.
2/3, f, z
Suppose 2*p = n - 10, 3*n - 11 = 3*p + 4. Put -3, 0, p, -2 in descending order.
0, -2, -3, p
Let k(x) = -x + 10. Let c be k(5). Suppose -4*o + s = 10, -5*o - 12 = -c*s + 4*s. Sort 4, 3/2, o.
o, 3/2, 4
Suppose -o + 10 = 4*o. Let q be (6/2)/((-3)/o). Sort q, -1/4, 5.
q, -1/4, 5
Let l be (5 - 1)/4*0. Sort l, -1, 85 in ascending order.
-1, l, 85
Let w = -39/16 - -33/16. Let v = 11 - 7. Suppose -5*y - v*d - 7 = 0, -3*y + y + d = -5. Sort -4, y, w in ascending order.
-4, w, y
Let w = 0 + 1. Let s be 0 - (-3 + w - -2). Sort -1, s, -3 in descending order.
s, -1, -3
Let x = 0.8 + -2.6. Let y = -1.73 - x. Let p = y - 3.07. Sort -0.5, p, -4 in decreasing order.
-0.5, p, -4
Suppose 16 = 2*u + 2*c, 5*c = 3*c + 10. Put u, 4, -3 in increasing order.
-3, u, 4
Let v be 1468/(-1148) + (-1)/(-1). Let o = -2/287 + v. Let a = -0.6 + 1. Sort a, o, 1 in ascending order.
o, a, 1
Let v = 26.3 + -26. Let s(w) = -w**3 - w**2. Let p be s(-2). Sort v, 2/11, p in decreasing order.
p, v, 2/11
Let l(t) = 4*t**2 + 3*t. Let g be l(-1). Sort -0.4, g, -1/8 in ascending order.
-0.4, -1/8, g
Let r = 3.02 - 0.02. Let j = 1.2 - 1. Let u = 30 - 30.2. Put r, u, j in ascending order.
u, j, r
Let a be 2/(-6) + 1/(-6). Let d = -162 - -159.99. Let q = d + 0.01. Sort -4, a, q in descending order.
a, q, -4
Suppose -i + 2*l + 3*l = -16, 4*l + 8 = -4*i. Let c = -14 - -11. Put i, c, 4 in ascending order.
c, i, 4
Suppose 11 = 2*f + 3. Suppose 2*u - 5*d - 32 = -2*u, f*u + 3*d = 0. Put u, -5, 5 in increasing order.
-5, u, 5
Suppose d + l = 12, -d - 2 = 2*l - 19. Suppose 0*m = -m - 3*w + d, -5*m - 25 = -5*w. Sort -4, 5, m in decreasing order.
5, m, -4
Let g be (-15)/(-175) + (-4)/14. Sort -3, g, -1.
-3, -1, g
Suppose 0 = a + 4*o + 6, -7 = 2*a + 2*o - 1. Sort -1/6, a, -3/7 in decreasing order.
-1/6, -3/7, a
Let b(m) = m**2 - 13. Let t be b(-3). Suppose 2*n - 6 - 2 = 0. Suppose 4*y + 4*r + 27 = -9, -5*y = -3*r + 13. Put t, y, n in decreasing order.
n, t, y
Let k = 7 - 4. Let l = 2 + -2. Suppose l = -v - 2*v. Put -1, k, v in decreasing order.
k, v, -1
Suppose 2 = 4*o + 2*f + 4, -5*o = -f + 13. Suppose -d + 1 = -4. Sort d, o, -1.
o, -1, d
Suppose -h - 3 = -0*h. Let p = -2.8 + -1.2. Let k = 1 - p. Sort 0.3, h, k.
h, 0.3, k
Let a(m) = -2*m**3 - 6*m**2 - 6*m**2 - 3 + 9*m**2 - 2*m. Let u be a(-2). Suppose -5*c = 10, 0 = -4*w - u*c + 9 - 31. Put 2, w, 0 in decreasing order.
2, 0, w
Let a = -139/240 - 1/48. Let h = 10/7 + -23/21. Let l be 30/16 + 2/16. Put a, h, l in increasing order.
a, h, l
Let f(y) be the first derivative of -y**4/4 + y**2/2 + 2*y + 3. Let s be f(2). Sort -1, s, 2 in decreasing order.
2, -1, s
Suppose 0 = -4*p - 2*l - 12, -l = -5*p + 2*l - 15. Sort p, 5, -1 in ascending order.
p, -1, 5
Suppose 3*y + 22 = 4*q, -3*y + 2*q = -0*y + 14. Let v be 2*-3*(-7)/(-21). Let d = 5 + v. Put d, 1, y in descending order.
d, 1, y
Suppose 0 = 3*r - 3*x - 12, -2*r - 2*x - 20 = -8. Let c be (-2)/(-5)*10/(-8). Sort -5, r, c in descending order.
c, r, -5
Let y = -4.2 - 2.3. Let c = -6 - y. Let h = c + -0.5. Sort h, -2, 0.2 in increasing order.
-2, h, 0.2
Let r be ((-2)/(-6))/((-8)/96). Sort -3, r, 0 in ascending order.
r, -3, 0
Suppose 3*d = -2*g + 3*g - 35, 2*g + 34 = -2*d. Sort 3, 1, d in decreasing order.
3, 1, d
Let v be (-1)/((-5)/(-2 - -12)). Sort -4, -2, 4, v in ascending order.
-4, -2, v, 4
Let n = 6 + -5.7. Let a = 6 - 10. Sort 1/2, n, a in descending order.
1/2, n, a
Let i be (-3 + 64/28)*4/10. Sort -7/3, i, -0.1, 0.3 in descending order.
0.3, -0.1, i, -7/3
Let d(h) = -4*h**2 + h - 2. Let s be d(1). Sort -4, s, -1, 5.
s, -4, -1, 5
Let i = -9 + 7. Let y be 8*(12/(-8) - i). Put y, 2, -4 in increasing order.
-4, 2, y
Let o(r) = -r**3 + r**2 - 2*r + 3. Let t be o(2). Sort -0.4, -2, t in ascending order.
t, -2, -0.4
Let q be 0 - (-3)/(1 - 0). Suppose -q*n = f - 5, -f + 5*f + 14 = 5*n. Let u = 0.7 + -0.2. Sort u, -2, f in decreasing order.
u, f, -2
Let d = 0 + -1. Let f(b) = 4*b - b**2 - 3*b - b + 2*b. Let w be f(2). Put -5, w, d in ascending order.
-5, d, w
Let f = 9.93 - 10. Let y = f + -4.93. Sort 2, 0.5, y in descending order.
2, 0.5, y
Let n = 38 + -35. Put 1, -5, n, 4 in ascending order.
-5, 1, n, 4
Suppose 3 = z - m - 10, z + 3*m = 21. Suppose -2*d - z = -d - 4*u, -5*d = 2*u + 9. Suppose -5 = 2*f - 7*f. Sort d, 5, f in decreasing order.
5, f, d
Let x(j) = j**3 - 9*j**2 - 7. Let y be x(9). Let i = 9 + y. Sort 5, -3, i in decreasing order.
5, i, -3
Let u = 127/150 - 1/75. Sort 0.1, u, -3 in increasing order.
-3, 0.1, u
Let p = -72 - -71.7. Sort -0.02, 4, -5, p in decreasing order.
4, -0.02, p, -5
Let s(q) = q**2 + 4*q. Let p be s(-2). Suppose 1 = -3*d - b + 2*b, 2*d - 4*b + 4 = 0. Sort 3, p, d in ascending order.
p, d, 3
Let r(g) = -g**3 - 7*g**2 - 6*g + 5. Let y be r(-6). Sort 1/9, 13/5, y.
1/9, 13/5, y
Let x = 0 + 7. Suppose -x = -5*r + 8. Put 4, r, -2 in descending order.
4, r, -2
Let h(l) = -l**3 - 7*l**2 + 9*l + 5. Let w be h(-8). Let r = w + 7. Put 1/5, r, 2 in increasing order.
1/5, 2, r
Let l = 63/100 - -3/25. Sort l, 0.2, -5 in ascending order.
-5, 0.2, l
Let c = 16 + -19. Sort -2/5, c, -2/11, -9 in decreasing order.
-2/11, -2/5, c, -9
Let a = -5 - -8. Let k(p) = -p**2 + 2*p - 1. Let i be k(a). Suppose 4*b + 3 = 11. Sort 4, i, b in descending order.
4, b, i
Let a = 0.4 - 0.7. Let h = a + -0.2. Let x = 7 + -3.
|
{
"pile_set_name": "DM Mathematics"
}
|
3
Calculate the greatest common divisor of 20262 and 186.
6
Calculate the greatest common divisor of 685 and 1293965.
685
What is the greatest common factor of 10375724 and 262?
262
Calculate the highest common factor of 10 and 50255.
5
Calculate the greatest common factor of 9 and 1309437.
9
Calculate the highest common factor of 115311 and 15606.
867
Calculate the highest common factor of 113704 and 21436.
932
What is the greatest common divisor of 650610 and 180?
90
Calculate the highest common divisor of 1674 and 62.
62
Calculate the highest common divisor of 10 and 233765.
5
Calculate the highest common divisor of 184 and 299644.
92
What is the highest common divisor of 143 and 98293?
13
Calculate the highest common factor of 122473 and 39.
13
Calculate the highest common divisor of 115 and 14605.
115
Calculate the highest common factor of 209 and 2304643.
209
Calculate the greatest common divisor of 28 and 22358.
14
What is the highest common divisor of 51183 and 297?
99
What is the greatest common factor of 65 and 93002?
13
What is the greatest common factor of 1104 and 647036?
92
What is the greatest common factor of 4 and 1589308?
4
What is the greatest common factor of 3404 and 89984?
148
Calculate the highest common factor of 56 and 32116.
28
What is the highest common factor of 51603 and 309?
309
Calculate the highest common divisor of 140 and 328230.
70
Calculate the greatest common factor of 582176 and 448.
224
What is the highest common divisor of 378 and 3500?
14
Calculate the highest common divisor of 3816 and 46269.
477
Calculate the greatest common divisor of 559 and 9659.
13
Calculate the greatest common divisor of 70 and 582785.
35
What is the highest common factor of 33 and 94369?
11
What is the highest common factor of 297 and 627?
33
What is the highest common factor of 4399 and 6723?
83
Calculate the greatest common factor of 64 and 306.
2
Calculate the greatest common divisor of 259392 and 168.
168
Calculate the greatest common factor of 3725 and 112325.
25
What is the highest common factor of 780240 and 60?
60
Calculate the greatest common divisor of 216625 and 250.
125
What is the highest common divisor of 16932 and 357?
51
What is the greatest common divisor of 1216 and 22496?
608
Calculate the greatest common factor of 798 and 2247.
21
What is the greatest common factor of 732 and 549?
183
What is the greatest common divisor of 93 and 19164?
3
Calculate the greatest common divisor of 3615 and 45.
15
What is the greatest common divisor of 6152 and 236?
4
What is the highest common factor of 580823 and 67?
67
What is the greatest common factor of 22120 and 31640?
280
Calculate the greatest common divisor of 41 and 201023.
41
Calculate the greatest common factor of 466 and 1018.
2
What is the greatest common factor of 10 and 247250?
10
What is the greatest common divisor of 18632 and 442?
34
What is the greatest common divisor of 3510 and 160110?
270
Calculate the highest common factor of 14450 and 13294.
578
Calculate the greatest common divisor of 3743 and 606563.
197
What is the highest common divisor of 15062 and 6562?
34
What is the greatest common divisor of 2590 and 5110?
70
What is the greatest common divisor of 34785 and 10?
5
What is the highest common factor of 5175 and 23400?
225
What is the greatest common divisor of 323 and 6631?
19
What is the greatest common divisor of 124 and 15500?
124
Calculate the highest common factor of 303052 and 634.
634
What is the greatest common factor of 1387 and 77307?
73
Calculate the greatest common divisor of 252 and 7602.
42
Calculate the highest common factor of 221063 and 106.
53
Calculate the highest common factor of 1334 and 1556111.
667
Calculate the highest common divisor of 144785 and 92.
23
What is the greatest common divisor of 34918 and 68?
34
What is the highest common factor of 662478 and 369?
123
What is the greatest common divisor of 128 and 184?
8
Calculate the highest common factor of 738 and 306352.
82
Calculate the highest common divisor of 143842 and 299.
23
What is the highest common factor of 246565 and 55?
55
Calculate the greatest common factor of 22491 and 136.
17
Calculate the highest common factor of 572803 and 301.
301
What is the greatest common factor of 115 and 6118?
23
What is the greatest common divisor of 140209 and 298?
149
Calculate the highest common divisor of 7380 and 3060.
180
Calculate the greatest common factor of 306236 and 28.
28
What is the highest common divisor of 648 and 6060?
12
What is the highest common factor of 1300 and 3628300?
1300
What is the highest common divisor of 12214 and 1674?
62
What is the highest common divisor of 375 and 2175?
75
Calculate the highest common divisor of 9911 and 51.
17
Calculate the greatest common divisor of 2106 and 14916.
6
Calculate the highest common factor of 700 and 111160.
140
What is the highest common factor of 603920 and 520?
40
What is the highest common divisor of 263 and 79426?
263
What is the highest common divisor of 516 and 360?
12
What is the highest common divisor of 260540 and 175?
35
What is the greatest common divisor of 12876 and 9768?
444
What is the greatest common divisor of 140 and 47180?
140
Calculate the highest common divisor of 1380 and 64620.
60
Calculate the greatest common divisor of 2914633 and 51.
17
What is the highest common divisor of 2907 and 918?
153
What is the greatest common divisor of 85 and 40681?
17
What is the highest common divisor of 38885 and 175?
35
What is the highest common divisor of 42198 and 156?
78
Calculate the highest common divisor of 1160725 and 225.
25
Calculate the greatest common divisor of 163872 and 40.
8
What is the greatest common divisor of 108 and 489204?
36
Calculate the greatest common divisor of 19818 and 62390.
734
What is the highest common factor of 90 and 222255?
45
Calculate the greatest common divisor of 104 and 3913.
13
What is the highest common divisor of 36 and 37494?
18
What is the greatest common factor of 258 and 1327281?
129
What is the greatest common factor of 26520 and 32?
8
What is the highest common divisor of 3247956 and 72?
36
Calculate the greatest common divisor of 12614 and 595.
119
What is the highest common divisor of 3920 and 55930?
70
What is the greatest common factor of 1353850 and 50?
50
What is the highest common divisor of 9263 and 16697?
59
Calculate the highest common factor of 231924 and 4.
4
What is the highest common divisor of 991062 and 90?
18
Calculate the greatest common divisor of 270 and 28296.
54
What is the highest common factor of 26427 and 69?
69
Calculate the greatest common divisor of 29298 and 228.
114
Calculate the highest common divisor of 760 and 676240.
40
Calculate the highest common factor of 27971 and 22579.
337
Calculate the greatest common divisor of 4561356 and 48.
12
Calculate the greatest common divisor of 15152 and 464.
16
What is the greatest common factor of 90 and 6185835?
45
Calculate the highest common factor of 8 and 2118064.
8
What is the greatest common factor of 1097531 and 37?
37
Calculate the highest common divisor of 1215 and 76455.
45
Calculate the greatest common divisor of 225 and 50265.
45
What is the highest common divisor of 3 and 117321?
3
Calculate the greatest common divisor of 52 and 697814.
26
What is the greatest common divisor of 15203 and 103116?
661
What is the highest common factor of 1156 and 372028?
68
What is the highest common factor of 1833388 and 268?
268
Calculate the greatest common factor of 97 and 12450532.
97
Calculate the greatest common factor of 8686808 and 13.
13
Calculate the highest common divisor of 43926 and 96.
6
Calculate the greatest common divisor of 1830 and 7485.
15
What is the highest common divisor of 1957 and 9991?
103
What is the greatest common divisor of 24 and 552450?
6
What is the highest common factor of 1036 and 349724?
148
Calculate the greatest common factor of 212424 and 3975.
159
Calculate the highest common factor of 70630 and 130.
10
What is the greatest common divisor of 99 and 12375?
99
What is the greatest common factor of 17164 and 14952?
28
What is the highest common factor of 5548525 and 25?
25
What is the greatest common factor of 3012 and 1107412?
1004
Calculate the highe
|
{
"pile_set_name": "DM Mathematics"
}
|
4?
n
Suppose -2*u + 93 = 5*w, -u - 3*u = -4*w - 172. Let c be (u/(-22))/((-4)/(-46)). Let y = -18 - c. Which is greater: 6 or y?
6
Let r = -1.1 - -1. Let f(k) = 10*k**2 + 20*k + 75. Let b be f(-5). Let n be 5*-5*(-10)/b. Which is smaller: n or r?
r
Let a be 60/(-48)*(4 - 0). Let w = 1 - a. Let q be 1/w - 5*(-2)/12. Are 7/8 and q unequal?
True
Let n be (-510)/204*(-4)/894. Which is smaller: 1 or n?
n
Suppose 5*n + 73 = -217. Let x be (-15)/18 - (-2938)/12. Suppose -50*l = 2706 + x. Are l and n equal?
False
Suppose -2 = 3*z + 2*h, 4*z - h = z + 1. Suppose -11*s - 3*p = -14*s - 429, z = -3*s + 2*p - 425. Does s = -140?
False
Let f be 24/13 + (-82)/(-533). Suppose -5*t = f*w + 346 - 67, w - 108 = 2*t. Which is smaller: t or -50?
t
Let q(f) = -f**3 + 5*f**2 + 3*f - 5. Let m(d) = -2*d + 2. Let a be m(-1). Let i be q(a). Suppose 3*k + 5*v = i, 4*k + 8 = 5*v - 8. Is 1/26 != k?
True
Let s(j) = -j**3 + 20*j**2 + 25*j - 4. Let d(w) = w**3 - 21*w**2 - 25*w + 4. Let c(p) = 4*d(p) + 3*s(p). Let t be c(25). Which is smaller: t or 6?
t
Suppose 3*z + 2 = 2*m + 7, -15 = -3*z - 3*m. Suppose -z*y = w + y - 124, 4*y + 436 = 4*w. Suppose 128*u = 130*u + w. Is u != -56?
False
Suppose -5*a + 11 + 25 = s, -40 = -3*a + 4*s. Let x(m) = -m**3 + 8*m**2 + 3*m - 17. Let j be x(a). Which is greater: 0.38 or j?
j
Suppose -12883 = -3*d - 2*c, -484 + 4790 = d - c. Which is smaller: d or 4300?
d
Let v = 945439/299 + -3162. Which is greater: v or 0?
v
Let u = 81 + -82. Let i be u/(-22)*(-588)/10*3. Let c = i - 2/11. Which is smaller: -8 or c?
c
Suppose 28989 - 83160 = -13*a. Let c = a - 754229/181. Let m be (-3)/(-4) - 3/(-12). Which is smaller: c or m?
c
Let u = 420382/2205 - 9330/49. Let n = -2/45 - u. Which is greater: 4/15 or n?
4/15
Let i be ((-10 + (-40)/(-5))/(-2))/(0 + -1). Which is smaller: i or 5920?
i
Let r be 6*(-3)/6*(-5 - (-704)/144). Let n = 0.1 - -6.9. Which is smaller: n or r?
r
Let a = -40795/18 - -2267. Let l(r) = 30*r + 691. Let o be l(-23). Which is smaller: o or a?
a
Let x = 165.11 - -34.6. Let z = -36.42 + x. Let r = z - 164. Which is bigger: 0 or r?
0
Let a(q) = q**3 + 4*q**2 - q - 1. Let x be a(-5). Suppose 6*i + 5*i + 220 = 0. Which is smaller: x or i?
x
Let l = 479003/2760 + -15482/69. Let h be (-11)/(-385)*-1697 + (-8)/(-28). Let t = l - h. Is t less than or equal to -2/5?
True
Let r = -122 + 13. Let u = r - -49. Let f = 55 + u. Does -6 = f?
False
Suppose 0 = -14*v + 24*v - 410. Let q be (-1)/6 - v/(-246). Which is bigger: -3/16 or q?
q
Suppose 786 = -7*f + 317. Let g = f - 82. Is g at most 1?
True
Let b = 16330/417 - -24/139. Which is greater: b or -0.06?
b
Suppose 0 = -4*d - 61*j + 64*j - 17439, -7 = j. Is -4363 less than or equal to d?
False
Let d = -60 + 160. Let o(r) = r**2 + r. Let p be o(0). Let q be (-102)/d + p + 1. Is 0 equal to q?
False
Suppose -303 = 5*k + 306 - 604. Does k = -2/38911?
False
Let q(o) = 10*o**2 - 15*o - 35. Let x be q(-8). Let j be 1/3 - x/600. Suppose 0 = i - c + 5*c - 8, 2*i = -4*c + 8. Which is smaller: i or j?
j
Let a(v) = -8*v**2 + 8*v - 6. Let c be a(1). Let o be (-103)/c + 6/(-36). Which is smaller: o or 21?
o
Let b be 218/20 + 4 + 78/(-20). Let f(t) = -t**2 + 12*t - 11. Let q be f(b). Is q bigger than -1?
True
Suppose 5*t + 2*v - 1483 = 0, 0 = -v - v + 8. Is t greater than or equal to 293?
True
Suppose 0 = -7*w - w - 24. Let u be 22/10 + (w - -2). Let o(a) = -a**3 + 12*a**2 - a + 14. Let b be o(12). Which is smaller: b or u?
u
Suppose -18*o + 6 = 24. Which is smaller: o or -1/2828?
o
Let l = 22 - 31. Let o = l + 14. Suppose 2*z + 4 = -o*k + 2, -3*z - 2*k + 8 = 0. Is z > -0.05?
True
Let g be 0/(-14)*1/3 - 1. Let d be (4 + -2 + 4 + 11)/g. Let j be (-1)/1 - 23/d. Which is bigger: 1 or j?
1
Let k be (-48)/40*(-10)/3. Suppose -l = k*v - 98, -5*l = -2*v + 22 + 16. Which is bigger: 22 or v?
v
Suppose -g + 6*g = -65. Let t = -4603 - -59685/13. Are t and g unequal?
True
Let i = -28 + 13. Let t(m) = -2053162*m**3 + 2053163*m**3 + 13*m**2 - 9*m**2 + 12*m**2 + 31 + 18*m. Let k be t(i). Which is bigger: k or -11?
-11
Let c = 1853518449153149 - 88361895337622609132789/47672520. Let g = -277/56753 - c. Let t = g - 11/105. Which is smaller: 4 or t?
t
Let f(m) = -8*m**3 + 2*m + 3*m**2 - 2 + 3 + 0*m**2. Let g(h) = -2*h**2 - h + 2. Let w be g(1). Let r be f(w). Is r at most 9?
False
Let s = -16575 + 17088. Which is bigger: s or 0.09?
s
Suppose -22*u = -23 + 1. Let i = 0.76 + 0.68. Which is greater: u or i?
i
Let u be ((-728)/21)/(-26) - (1/(-3))/(-1). Are u and -2/8653 nonequal?
True
Let n be (0 + 4)/(40/30). Suppose 4*y - 3*c = -212, -2*y - 120 = n*c - c. Is y less than -58?
False
Let d be 1/(1/(-11)*(-2)/6). Let p be (2 - 1)/((-6)/12). Which is smaller: p or d?
p
Let l be (-6)/(-28)*50/6. Let n(f) = -f**2 + 53*f - 461. Let w be n(11). Are w and l non-equal?
True
Let c = 177.4 - 161. Let h = c + -3.4. Let x = h - 12.7. Is x at most -3?
False
Suppose 0 = -2*b + 5*y + 4, -14*b - y = -15*b + 2. Let q be ((25/(-10))/(-5))/(b/(-52)). Which is greater: q or -12?
-12
Suppose 0 = 12*h - 4413 - 4875. Let b be 2/(-3*(-4)/h). Let p be 6/b*(5 - 4)*-2. Which is greater: 1 or p?
1
Let c = 46331/295 - 10458241/112395. Let u = 5128346/16383 - c. Let b = -249 + u. Which is greater: b or -2/9?
b
Let p = -91398/73 + 1252. Let w = -0.1525 - 0.2475. Which is bigger: w or p?
p
Let s = 1391/10611 - 10/81. Let x = 128/393 + s. Are x and 0.11 non-equal?
True
Let b = -14.79707 + -0.20293. Is b at least -132?
True
Suppose 0 = 2*z + 32*z + 136. Let i = -869/270 + 1/54. Is z equal to i?
False
Let n be 352452/(-25392) + 1*(-1)/4. Are -15 and n nonequal?
True
Let t(o) = 3*o**2 - 37*o + 162. Let l be t(20). Which is bigger: 623 or l?
623
Let g be (5474/1127)/(19/49). Which is greater: g or 12?
g
Suppose 94*y - 126 = 101*y. Let j be (-188)/12 - 4/(-6). Is j greater than or equal to y?
True
Let p = -85 - 214. Let o = -595/2 - p. Which is smaller: o or -19?
-19
Suppose 0 = o - 2*u + 44, -4*u + 2*u + 170 = -4*o. Let k be -3 - ((-465)/o)/(121/(-33)). Which is greater: k or 0?
k
Let t be (-8)/(-20) + 26/10. Suppose 2*r + 56 = -t*i + 2*i, -5*i = r + 235. Suppose 54*q + 2821 = 283. Which is smaller: q or i?
q
Let y(j) = 7*j**3 - 4*j**2 - 5*j. Let h(m) = m**3 - m - 1. Let z = 16 - 10. Let v(t) = z*h(t) - y(t). Let n be v(3). Which is smaller: n or 5/8?
n
Let h = -0.9921 - -0.8987. Is h greater than 0.1?
False
Let n be 2/3*114/4. Let h(g) be the third derivative of -g**5/30 + 19*g**4/12 + 2*g**3 + 28*g**2. Let k be h(n). Is 11 greater than or equal to k?
False
Let f be (286310715/(-260))/(945/(-14)). Let n = f + -16314. Which is smaller: n or 0?
0
Let h = -2/2989 - 5800/266021. Let b = 13 - 15. Let f(z) = 3*z + 7. Let k be f(b). Which is smaller: h or k?
h
Let b = -0.42 + 0.426. Let z = -0.014 - b. Let l = z - -2.02. Is 0.2 at least l?
False
Suppose 4*a - 462*z = -459*z - 181, -5*a - 2*z = 209. Is a at least as big as -42?
False
Let k be (2/2)/1*10. Suppose -6*o - 24 = -k*o. Let c(i) = i**2 - 2*i - 1. Let t be c(o). Is t smaller than 24?
True
Let c = 101/82 - 10175/7462. Which is greater: -1 or c?
c
Suppose 135 = -6*i + i. Let s be (21/(-42))/(1/(-116)*2). Let p = s + i. Is p less than or equal to 5?
True
Let t(a) = -a**2. Let j(f) = -4*f**2 - 10*f. Let s(x) = j(x) - 3*t(x). Let g be s(-7). Let y = 389 + -390. Which is greater: y or g?
g
Let w(y) = 12*y - 242. Let l be w(20). Let v = -127 - -62. Is v at most l?
True
Suppose -5*b + 39 = -3*f - 2*b, f + 17 = 5*b. Let i be 0/(-8 - -2 - f). Which is bigger: i or 9/16?
9/16
Let b = 41155 + -41123. Is -91 at most as big as b?
True
Let y be (2 - (-1303)/26)/(-1). Let a = y + 52. Is 0 smaller than a?
False
Let c(v) = -v**3 + 5*v**2 + 6*v - 5. Let k = -7 - -7. Suppose -3*a + w = -2*a - 10, k = -a - 5*w - 14. Let x be c(a). Which is smaller: -28/5 or x?
-28/5
Let h be 7*((-18)/7)/(-3). Let n be 33/(-55)*8*(-2)/22*15. Which is bigger: n or h?
n
Let d(x) = 2*x**3 - 5*x**2 - 5*x + 7. Suppose 3*i - 3 = 0, 0 = 5*h - 7*h + 3*i + 3. Let q be d(h). Is q bigger than 27?
False
Let h be 6/8 + (-8805)/2844. Let w be 145/(-1027) - (-6)/39. Let p = h + w. Is -3 < p?
True
Let c(q) = q**2 + 2*q - 6. Let d(w) = 2*w**2 + 3*w - 10. Let v(k) = 7*c(k) - 3*d(k). Let z be v(-7). Which is greater: 24/29 or z?
z
Let p = -357166 + 7497358/21. Let a = p - -
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - s**2. Suppose -10 = 2*q + 3*q. Calculate v(q).
6
Let j(k) = -4*k**3 + 2*k**2 - 1. Let f be j(-1). Suppose f*a = 6*i - 3*i + 39, -2*a - 18 = 3*i. Let p = i + 6. Let n(s) = -s**3 - s**2 - 2*s - 2. Give n(p).
6
Let c(j) = j**2 + 4*j - 3. Let m be (14/6)/(4/(-12)). Let g = -3 - m. Let u(p) = p**2 - 4*p - 5. Let y be u(g). Determine c(y).
2
Let k(u) = -u**2 - 19*u + 50. Let d be k(-21). Let m(q) = -q**2 + 9*q - 12. Determine m(d).
-4
Let u(v) = 2*v + v**2 - 1 - v**2 - 3*v**2. Suppose 3*g - 2*w = -3, -18 = -2*g - 4*w - 4. What is u(g)?
-2
Suppose 5 = 3*q + 4*o, 0*o - 3 = -q - 2*o. Let k(h) = 16*h. Calculate k(q).
-16
Let t be 6 - ((-1)/(-1))/(-1). Let k = t - 5. Let l(w) = -w**k + w**2 + 1 - w**2 - 2*w + w. Determine l(-2).
-1
Let p(r) be the second derivative of -r**4/12 - r**3/6 - 4*r**2 + 2*r. Determine p(0).
-8
Suppose -12 = -2*a + 6*a. Let h be (a/9)/((-1)/9). Let l(w) = 0*w + 2*w - 6 - h*w. Calculate l(0).
-6
Let i = 3 + -7. Let l(g) = 2*g. Let z(o) = -o. Let w(r) = 6*l(r) + 13*z(r). What is w(i)?
4
Let n(b) be the third derivative of b**5/60 - 5*b**4/24 + 5*b**3/6 + 8*b**2. Suppose 4*q + 2*v - 18 = 0, -3*v = -2*q + 8 - 3. Calculate n(q).
1
Let v(h) = -4 - 6*h**3 - 7*h + 28*h**3 + 4*h**2 - 21*h**3. Let t(c) = c**2 + 7*c + 5. Let q be t(-5). Calculate v(q).
6
Let t(l) = -l**3 - 5*l**2 - 4*l - 2. Suppose 0*r + 5*r = 0. Suppose -4*w + x + 3*x + 56 = 0, -4*x - 16 = r. Let f be 15/w*4/(-3). Determine t(f).
-6
Let y(b) = -b**3 - 12*b**2 + 12*b - 11. Let a be y(-13). Let x(n) = -n - 2. Determine x(a).
-4
Let p(d) = 13*d**3 + 2*d**2 - 1. Let m(o) = o**3 - o**2 - 2*o - 1. Let u be m(2). Give p(u).
-12
Let g(c) be the third derivative of c**4/24 + c**3/3 + 4*c**2. Calculate g(3).
5
Let n = 12 + -15. Let o(p) = 2*p + 1. Determine o(n).
-5
Let m(k) = -2*k**2 - 2*k**2 + k**3 - 5*k**2 + 5 - 12*k + 5. Give m(10).
-10
Let d(s) = 3*s**2 - 2. Suppose -6*w - 5*i = -3*w - 9, -5*w = 4*i - 2. Give d(w).
10
Let f(t) = 6*t**2 - 12. Let p(a) = -a**2 - a + 1. Let n(w) = f(w) + 5*p(w). Suppose -7*y + 28 = -14. Determine n(y).
-1
Let f(c) = -c**2 + 3*c - 6. Let m = 107 + -102. Calculate f(m).
-16
Let h(g) = g**3 + 2*g**2 - 1. Let n be (0/(3 + -2))/(-1). Let o = -2 - n. Determine h(o).
-1
Let r(b) be the first derivative of b**2/2 - 2*b - 6. Suppose s + 0 + 5 = 0. What is r(s)?
-7
Let k(g) = -g**2 + 11*g - 24. Let v be k(6). Let i(h) = -h - 3. Calculate i(v).
-9
Let h(i) = i**2 + 4*i. Let t(j) = j**2 + 3 - 62*j - 4 + 66*j. Let v be t(-3). What is h(v)?
0
Let f(m) = -m**3 - m**2 - 2*m - 1. Let a be (-4)/(-10) + (-253)/(-55). Suppose 2*l + 3*l + a*k = 15, 2*l + 5*k = 18. Calculate f(l).
1
Let m(j) = -j**2 - 6*j**2 + j**2. Calculate m(1).
-6
Let q(k) = k + 15. Let h be q(-11). Suppose 0 = h*c - 3 - 13, 2*c - 20 = -4*j. Let x(v) = 3*v + 0 - 4 + 0*v. What is x(j)?
5
Let p(y) = -y - 9 - 3 + 1 + 2. What is p(0)?
-9
Let m(z) be the third derivative of z**5/60 - 5*z**4/24 + z**3/3 + 12*z**2. Calculate m(5).
2
Let j(x) = x**2 - 3*x - 2. Let k(v) = -3*v**2 + 9*v + 5. Let g(a) = -a**2 + 6*a + 15. Let m be g(7). Let q(y) = m*j(y) + 3*k(y). Calculate q(4).
-5
Let f(t) = 3*t**3 - 4*t**2 - 4*t + 4. Let g(y) = -2*y**3 + 3*y**2 + 3*y - 3. Let k(l) = 3*f(l) + 4*g(l). Determine k(-1).
-1
Let t(w) be the first derivative of -1/8*w**4 + 0*w**3 + 2 - w**2 + 0*w. Let y(v) be the second derivative of t(v). Determine y(-2).
6
Let f(z) = z + 1. Let u be 3/(-4) - 54/(-8). Let m = u - 7. Let r be f(m). Let k(w) = w - 6. Give k(r).
-6
Suppose 0*j - 3*j + 6 = 0. Let n be (1 - 3)*(-4)/j. Suppose -3*c + 1 = -n*l, 5*c + 5*l + 7 = 3*c. Let h(m) = -7*m. Determine h(c).
7
Let i(g) = 5*g**2 - 2*g - 3. Let d(y) = -4*y**2 + 3*y + 3. Let z(b) = 6*d(b) + 5*i(b). Let a be ((-255)/(-9))/(-5) + (-3)/9. Calculate z(a).
-9
Let t(z) = 6*z - 3. Let i(d) = 4*d - 2. Let k(s) = -7*i(s) + 5*t(s). Calculate k(-2).
-5
Let f(i) = -i**2 - 5*i - 3. Let k be f(-3). Let m(x) = 2 + 5*x**k - 5*x**3 - 5*x**2 + x**3 + 2*x**2 - 5*x. What is m(4)?
-2
Let x = 0 - -1. Let v(d) = 18*d + 7. Let l(z) be the second derivative of 3*z**3/2 + 3*z**2/2 - 2*z. Let y(u) = 9*l(u) - 4*v(u). What is y(x)?
8
Let r = 2 + 0. Let i(q) = -q**2 + 3*q - 3. Let u be i(r). Let n(g) = 3*g. What is n(u)?
-3
Let k be (-3)/(-30)*-4*-5. Let v(w) = -4*w**k - 1 + 6*w**2 - 5*w**3 + 2*w - w - w**2. Let g be (-4)/14 + (-9)/(-7). Determine v(g).
-4
Let m(y) be the second derivative of -y**5/120 + y**4/12 - y**3/6 - 7*y. Let x(p) be the second derivative of m(p). Give x(2).
0
Let i(u) = 2*u**2 - u - 1. Let h be i(2). Suppose 3*b - h*x + 25 = -x, 0 = 2*b + x + 2. Let f(c) = -3 - c + 3. Determine f(b).
3
Let f(d) = -10*d**3 - d**2 + d. Let x(a) = a**2 - 5*a + 5. Suppose 0*i - 3*i = -18. Suppose -i*j + 2*j + 16 = 0. Let n be x(j). Calculate f(n).
-10
Let l = -10 + 30. Suppose -l = -f - 3*f. Let u(s) = -6*s**2 - 2. Let k(t) = 9*t**2 + 3. Let i(b) = f*k(b) + 7*u(b). Give i(1).
4
Let a(s) = 4*s - 1. Suppose 4*h = -2*n - 14, 0 = -3*h - 2*h. Suppose 2*l = 4*j + 40, -j - 28 = 3*j + 4*l. Let r = j - n. Give a(r).
-9
Suppose 0 = 2*p - 6*p - 4*b + 4, -2*b = 5*p - 11. Suppose -4*y + 10 - 1 = s, -3*y - p = 0. Let k = s + -9. Let o(i) = -i**3 + 3*i**2 + 3*i + 5. Give o(k).
1
Suppose 0 = -g + 4*z + 24, 5*g = 3*z + 31 + 55. Let r be (g - 6) + (-5 - -2). Let m(q) = -q + 4. Give m(r).
-3
Let x(h) = h**2 - h. Let a be (-8)/(-6)*(-3)/(-2). Let w be x(a). Let p = -6 + w. Let z(q) = q**2 + 3*q - 1. Determine z(p).
3
Let w(r) = 2*r - 1. Suppose n = 5*c - 0 - 11, 0 = 5*n + c - 23. Calculate w(n).
7
Let s = 6 + -5. Suppose -7 = 3*z - s. Let i(r) = -r + 1. Determine i(z).
3
Let t(g) = -g - 7 + 10 - 2 + 2. Determine t(-5).
8
Let w be (-8)/(-5) + (-6)/(-15). Let n be 1*w*(-2 - -1). Let d(r) = -r - 3*r - 2*r + 2*r. What is d(n)?
8
Let n(q) = -q - 3. Suppose 3*a = 4*w + w + 21, 3*a = -2*w. Let s be n(w). Let h(k) = k + 4. Give h(s).
4
Let d be 2*3 - (5 - 2). Let x(k) = -2*k**d - 1 - 6*k**2 + 2*k**2 + 3*k**2 + 2*k**2. Calculate x(-1).
2
Let x(w) = -w + 9. Let s be x(5). Let q(v) be the first derivative of 2 + 2/3*v**3 + v + 1/2*v**2 - 1/4*v**s. Give q(3).
-5
Let k(o) = -7*o + 10. Let t(j) = 1. Let u(w) = -k(w) - 6*t(w). Let s(p) = 13*p - 31. Let d(r) = -6*s(r) + 11*u(r). Let n = 0 - 0. What is d(n)?
10
Suppose -i + 1 = -5*l - 3, 4*l - 4 = -i. Let a be l + -1 - -3 - -2. Let s(k) = -6*k**2 + 3*k - 4. Let j(d) = d**3 + d**2. Let y(n) = j(n) + s(n). What is y(a)?
-8
Let f(s) = 2*s - 7. Let n(h) = -h + 4. Let v(z) = -3*f(z) - 5*n(z). Calculate v(-3).
4
Let o(z) = -3 - z**2 - 2*z**2 + 4*z**2 - 8*z. Let y be o(9). Suppose 5*i - y = 3*i. Let c(u) = -u**3 + 4*u**2 - 2*u + 1. What is c(i)?
4
Let s(o) = 4*o - 8. Let p(r) = -5*r + 9. Let x(v) = 6*p(v) + 7*s(v). What is x(-5)?
8
Let r(v) be the second derivative of -v**4/12 + v**3/6 - v. Let i(n) = -2*n**2 + 12*n. Let c be i(6). Determine r(c).
0
Let b(x) be the first derivative of -x**3/3 + 3*x**2 - 2*x + 3. What is b(3)?
7
Suppose p + 2*v = 14, v + 8 = 2*p + 5. Let a(g) = -g**2 + 2*g + 5. What is a(p)?
-3
Let f(i) = i**3 + 7*i**2 - 8*i - 6. Let b be (-6)/4*128/24. What is f(b)?
-6
Let j(y) = 2*y**2 - 11*y + 8. Let v(b) = 5*b**2 - 32*b + 25. Let r(s) = -8*j(s) + 3*v(s). Calculate r(-9).
2
Let g(r) = 4*r**2 + 3*r + 3. Suppose -9*i = 5*i + 28. What is g(i)?
13
Let z = -60 + 109. Let v be (-14)/z - 208/7. Let l be ((-2)/(-5))/((-3)/v). Let c(i) = -i**2 + 2*i + 2. Determine c(l).
-6
Suppose -4*a = 2*d - 68, -a + 5*d = 4*d - 11. Let j = a + -9. Let l(s) = s**2 - 5*s - 6. What is l(j)?
0
Let y(i) = 2*i**2 + 7*i - 17. Let q(b) = 3*b**2 + 10*b - 26. Let c(r) = 5*q(r) - 8*y(r). What is c(-6)?
6
Let v be 0 + 3 + -2 + 2. Let p(x) = x**2 - 2*x - 2. Let k(g) = g**2 - 3*g - 3. Let i(q) = v*p(q) - 2*k(q). Suppose -7*a + 3*a = 0. What is i(a)?
0
Let l(x) be the second derivative of -x**5/20 - x**4/12 + x**3/6 - 4*x**2 + x. Let f(d) = -2*d**3 - 7*d**2 + 6*d + 8. Let t be f(-4). Calculate l(t).
-8
Let d = 7 + -5. Let v(k) = 7*k - 2*k**d + k**3 - 4*k**2 - 7 + 2. Give v(5).
5
Let t(u) be the second derivative of -3*u**5/20 - u**3/6 - 6*u. Let x(f) = f + 1. Let c be x(-2). Calculate t(c).
4
Let c(z) = -1 - 198*z - 1 + 195*z. Determine c(-3).
7
Let n = 1 + -1. Let q be n*(-3)/(-2 - 1). Let o(c) = q*c**2 + 3 - 9 + c**2 + 4*c. Determine o(-5).
-1
Let j(g) = -g - 2. Let t be j(-5)
|
{
"pile_set_name": "DM Mathematics"
}
|
s**3 - 4*s + 5. Let r(p) = -5*t(p) - 4*x(p). Find the first derivative of r(a) wrt a.
-3*a**2
What is the second derivative of 17*f**4 - 13*f + 2*f**4 + f - 2*f**4 wrt f?
204*f**2
Let p(u) be the first derivative of -2*u**6/3 - 2*u**2 - 10. What is the second derivative of p(h) wrt h?
-80*h**3
Let u(q) be the third derivative of -q**6/240 - q**5/120 - q**4/8 - q**2. Let b(d) be the second derivative of u(d). What is the derivative of b(n) wrt n?
-3
Let q be (0 - -4) + (-3)/(-3). What is the second derivative of q*f**5 - 2*f - 6*f**5 + 0*f wrt f?
-20*f**3
Let y(t) = -17*t**2 - 6*t + 8. Let g(r) = -6*r**2 - 2*r + 3. Suppose -x + 5*x = 12. Let s(k) = x*y(k) - 8*g(k). What is the second derivative of s(n) wrt n?
-6
Differentiate -27*k**4 + 18*k**4 + 6 + 0 with respect to k.
-36*k**3
What is the derivative of 18 + 23 + 3*x**2 + 5*x**2 wrt x?
16*x
Let n(y) = 36*y**2 + 6*y - 5. Let m(f) = -35*f**2 - 6*f + 4. Let r(c) = -5*m(c) - 4*n(c). What is the second derivative of r(t) wrt t?
62
Let w(m) = m**5 - m**3 + m**2 - m + 1. Let a(x) = 6*x**5 + 6*x**3 - 6*x**2 + 14*x - 6. Let v(f) = a(f) + 6*w(f). What is the second derivative of v(z) wrt z?
240*z**3
Suppose 0 = -2*j - 5*x + 30, 0 = -2*j - 3*x + 17 + 5. Find the second derivative of -7 + 7 - j*b - 3*b**3 + 2*b wrt b.
-18*b
Suppose -3 - 1 = -2*n. Find the third derivative of t**2 - 4*t**3 - 4*t**2 - t**n wrt t.
-24
Let a(n) be the first derivative of -7*n**5 + 14*n**2 - 27. What is the second derivative of a(s) wrt s?
-420*s**2
Let p(s) be the second derivative of 1/12*s**4 + 0*s**3 + 2*s + 0 + s**2. What is the first derivative of p(k) wrt k?
2*k
What is the second derivative of -37 + 33*c**2 + 7*c + 19 + 18 wrt c?
66
Let l be (-8)/(-28) + (-6)/(-28). Let b(s) be the first derivative of l*s**4 + 0*s + 0*s**3 + 1/2*s**2 + 3. What is the second derivative of b(q) wrt q?
12*q
Let o = 8 - 1. Differentiate o*d - 3*d**3 - d - 6*d - 1 with respect to d.
-9*d**2
Suppose -s - 2 = 1. Let j(z) = -6*z**3 + 6*z**2 + 3*z + 3. Let p(c) = -c**3 + c**2 + c + 1. Let w(v) = s*p(v) + j(v). Find the third derivative of w(o) wrt o.
-18
Let o(d) = -d**3 + d**2 - d + 1. Let j(f) = -10*f**3 + 11*f**2 - 13*f + 11. Let s(b) = -2*j(b) + 22*o(b). What is the second derivative of s(r) wrt r?
-12*r
Suppose -2*m + 14 = w, m + 4 = 5*w - 0. What is the first derivative of 2 + i + m*i + 5*i - 7*i wrt i?
5
Let n(c) = -c**2 - c + 2. Let x be n(0). Let b be (-1 - 0)/((-2)/12). Find the second derivative of b*u - 2*u - 2*u + 2*u**x wrt u.
4
Let g(t) be the first derivative of -2 + 5/3*t**3 + 0*t + 1/2*t**2. Find the second derivative of g(w) wrt w.
10
Let g(v) be the first derivative of 7*v**2/2 + 2*v + 13. What is the derivative of g(c) wrt c?
7
Let z(c) = 609*c**4 + 58*c**3 + 58*c + 667. Let s(n) = 53*n**4 + 5*n**3 + 5*n + 58. Let u(t) = 58*s(t) - 5*z(t). What is the derivative of u(v) wrt v?
116*v**3
Let j(g) = 6*g**2 + 2*g - 3. Let u(r) = -37*r**2 - 13*r + 17. Let a(w) = -34*j(w) - 6*u(w). What is the second derivative of a(l) wrt l?
36
Let z = -12 - -18. Find the second derivative of z*d**2 + 4*d - d - d wrt d.
12
Let z(j) = 4. Let b(w) = 2*w + 5. Suppose 5*g - 2*g + 10 = -f, 2*g = 3*f - 14. Let v(y) = g*b(y) + 4*z(y). Find the first derivative of v(h) wrt h.
-8
Let g(f) = 7*f - 6. Let o(t) = 15*t - 13. Let s(j) = 13*g(j) - 6*o(j). Let u be s(5). What is the second derivative of p - 2*p**u - 5*p + 2*p wrt p?
-40*p**3
Let x(p) = -11*p**2 - 27*p. Let c(w) = w**2 - w. Let v(k) = 4*c(k) - x(k). Find the second derivative of v(g) wrt g.
30
Let z(r) be the third derivative of -1/40*r**6 - 4*r**2 + 0*r**3 + 0 - 1/15*r**5 + 0*r + 0*r**4. What is the third derivative of z(m) wrt m?
-18
What is the derivative of -3 - v**2 + v + 0*v**2 - v wrt v?
-2*v
Let n(y) be the second derivative of y**11/55440 - y**7/840 - y**4/6 - y. Let v(u) be the third derivative of n(u). What is the third derivative of v(t) wrt t?
120*t**3
Let m = 14 - 12. Differentiate -n + m - 2 + 0 - 1 with respect to n.
-1
Let i(h) = -6*h**3 + 4. Let z(b) = 7*b**3 + 26*b - 26*b - 3. Let v(u) = 2*i(u) + 3*z(u). What is the first derivative of v(c) wrt c?
27*c**2
Suppose 10*x + 3 = 11*x. Find the third derivative of 0*q**2 + q**4 - q**4 + x*q**2 - 4*q**4 wrt q.
-96*q
Let c be (-2 + 3)/(8/16). What is the second derivative of -5*p**c + 5*p**2 - p**5 - 2*p wrt p?
-20*p**3
Let n be 1 + -3*(-3)/(-18). Let d(o) be the first derivative of -1/3*o**3 + 0*o + 1 - n*o**2. What is the second derivative of d(q) wrt q?
-2
Suppose 6 = b + 3. Differentiate -4*q**2 - 4 + 2*q**3 + 4*q**2 + q**b wrt q.
9*q**2
Differentiate -41*w - 5 - 22*w + 16 + 24*w with respect to w.
-39
Let z(w) = -66*w**4 - 11*w**3 - 76*w - 11. Let v(s) = -13*s**4 - 2*s**3 - 15*s - 2. Let g(f) = -22*v(f) + 4*z(f). What is the second derivative of g(d) wrt d?
264*d**2
Suppose 5 - 2 = h. Suppose 2*i + 7*s - 24 = h*s, -5*i + 15 = s. Find the second derivative of -i*t + 5*t - t**4 - 4*t - t**4 wrt t.
-24*t**2
Let q(x) be the first derivative of 27*x**7/7 - 35*x**3/3 - 22. Find the third derivative of q(g) wrt g.
3240*g**3
Let f(v) = 9*v - 8. Let j be 7 - 0/(-3 + 0). Let g = 1 - j. Let t(o) = -o + 1. Let s(h) = g*t(h) - f(h). Find the first derivative of s(b) wrt b.
-3
What is the first derivative of 3 + 12*r**3 + 20 + 5*r**3 + 2*r**3 wrt r?
57*r**2
Let f be -1*(5 + (2 - 3)). Let y be (-7)/(-4) + f/(-16). Find the third derivative of -y*s**2 + 0*s**3 + s**3 - 3*s**3 wrt s.
-12
Let j = 22 - 19. Suppose p + 4 = t + t, 5*t - 19 = -2*p. What is the second derivative of -g**t - g - g + 0*g**j wrt g?
-6*g
Let s(z) be the second derivative of z**6/15 + z**3/6 + 28*z**2 + 2*z + 5. Find the first derivative of s(o) wrt o.
8*o**3 + 1
Let p(u) = 190*u**3 + 55*u + 80. Let x(n) = 7*n**3 + 2*n + 3. Let v(l) = 4*p(l) - 110*x(l). Differentiate v(h) with respect to h.
-30*h**2
Let c = 8 - 5. Find the third derivative of -2*a**5 - 2*a**2 + c*a**5 - a**2 wrt a.
60*a**2
Let n(x) = -x**2 + x - 1. Let z(b) = 46*b**2 - 3*b + 23. Let l(t) = 3*n(t) + z(t). Differentiate l(w) with respect to w.
86*w
Let q = -5 + 9. Suppose 0 = -q*a + 2 + 6. What is the third derivative of -2*s**5 + s**a + 0*s**2 + 0*s**5 wrt s?
-120*s**2
Let r(p) = -36*p**6 + 30*p**5 - 30*p**3 - 6*p**2 - 30. Let q(x) = x**6 - x**5 + x**3 + 1. Let y(w) = -30*q(w) - r(w). Find the third derivative of y(a) wrt a.
720*a**3
Differentiate -11*g**3 - 48 + 46 - g**3 wrt g.
-36*g**2
Suppose -f = -0*f - 2. What is the first derivative of -1 - n**f + 0 - 2*n**2 + 2*n**2 wrt n?
-2*n
Let f = 277/2 - 138. Let q(v) be the first derivative of -2/5*v**5 + 0*v - 3 - f*v**2 + 0*v**3 + 0*v**4. Find the second derivative of q(i) wrt i.
-24*i**2
Let a(p) be the second derivative of -p + 0 + 0*p**2 + 0*p**5 - 1/3*p**3 + 0*p**4 + 1/30*p**6. What is the second derivative of a(m) wrt m?
12*m**2
What is the second derivative of 0*m**5 + 13*m**5 + 0*m - 4*m**5 + 8*m wrt m?
180*m**3
Let o = -8 + 15. What is the second derivative of 3*v**4 - 6 + 2 - o*v + 4 wrt v?
36*v**2
Let r(m) be the third derivative of -1/20*m**6 + 5*m**2 + 0*m**4 + 0*m**3 + 0 + 0*m - 1/12*m**5. What is the third derivative of r(t) wrt t?
-36
Let u(x) be the third derivative of x**5/60 - x**3/6 + 13*x**2. Find the first derivative of u(g) wrt g.
2*g
Let f(m) be the third derivative of m**5/4 - 11*m**3/3 - 15*m**2. What is the derivative of f(w) wrt w?
30*w
Let w(y) be the third derivative of y**4/24 + 3*y**3/2 + 2*y**2. Let o be w(-6). What is the second derivative of -c + c**4 + c**4 - o*c**4 wrt c?
-12*c**2
Let z(c) be the third derivative of 0*c**5 - 1/6*c**4 + 1/20*c**6 + 0 + 0*c**3 + 0*c + 3*c**2. What is the second derivative of z(f) wrt f?
36*f
Let m be 4/2 - (3 - 5). Let s be 2/((-6)/15)*-1. What is the third derivative of 2*u**3 - m + 4 - u**2 + s*u**2 wrt u?
12
Let p(r) = -r**2 - 5*r - 3. Let g be p(-3). Suppose z = -g*z. What is the third derivative of z*b**3 + 2*b**2 - 2*b**3 + 3*b**5 + 2*b**3 wrt b?
180*b**2
Suppose 0 = -3*g - 1 + 7. Suppose -3*y + g*y = 0. What is the third derivative of 0*z - z**2 + y*z - z**3 wrt z?
-6
Let x(r) be the first derivative of -r**5/5 - 29*r**3/3 - 29. Find the third derivative of x(b) wrt b.
-24*b
Let k(j) = j**2 + 1. Let a(h) be the first derivative of 5*h**3/3 + 2*h + 3. Let d(v) = a(v) - 3*k(v). Diff
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate (475*118/1475)/((-4)/(-2)).
19
((-18)/27*12/16)/((-85)/(-119))
-7/10
(-138)/(-16)*((-1250)/15)/125
-23/4
Evaluate (70*45/600)/(-14*(-5)/30).
9/4
What is the value of (2*(-5)/(-130)*-2)/(20064/(-2288))?
1/57
Calculate ((-1020)/714)/(80/(-1456)).
26
245/(-98)*(-36)/(-45)
-2
What is (((-1750)/60)/(-7))/(8/(-168)*14)?
-25/4
(-24)/(-190)*-157*(-130)/(-122460)
-2/95
What is 4/12*(-33)/(-308)*-1?
-1/28
What is the value of -5*(-3)/(-60)*58*(-19)/(152/(-32))?
-58
What is (23/(483/(-20)))/((-816)/(-952))?
-10/9
Calculate ((-1)/(1824/(-360)))/((-15)/(-10)).
5/38
Evaluate (312/(-195)*(-3)/6)/((9204/(-30))/13).
-2/59
Evaluate 1*(-901)/((-3498)/(-66)).
-17
2/((-61)/((-44042)/(-608)))*8
-19
Evaluate 650/(-260)*(44/6)/(13/(1170/25)).
-66
Calculate ((-5)/(-6))/((18/96)/((-424)/3392)).
-5/9
What is the value of (-2068)/752*(-456)/(-57)?
-22
What is (4/1166)/(9324/17094)*-9?
-3/53
What is (6656/32)/8*-1?
-26
Evaluate 75/(-25)*3/123.
-3/41
What is the value of ((-2)/(((-36)/21)/((-234)/(-28))))/(27/(-72))?
-26
Calculate (1230/(-369))/(3*2/(-81)).
45
Evaluate ((-90)/(-63))/(1/((234/12)/13)).
15/7
42/8120*7500/3375
1/87
Evaluate (-13)/(26/8)*-119*23/644.
17
Calculate (6*2)/1*(-1327)/34502.
-6/13
Evaluate 1/((3*(-6)/(-81))/(22058/2421)).
41
Calculate ((-10)/(-6))/5*3168/352.
3
What is ((-102)/32)/((-468)/(-1092))*392/(-686)?
17/4
What is the value of 27*30/(-3240)*-120?
30
What is the value of -7*2108/868*(-8)/4?
34
Calculate ((-2730)/(-5005))/(140/(-55)).
-3/14
Calculate 1*10*(-69)/(-92)*36/(-39).
-90/13
What is (-904)/339*153/(-476)?
6/7
Evaluate (2686/(-85))/((105/5)/(-105)*-2).
-79
((-25)/((-2400)/(-896)))/(-4*5/(-15))
-7
1224/170*(-945)/(-162)
42
What is (-576)/72*(-5)/(-2)?
-20
Calculate (32144/(-533))/(-98)*6/(-1)*312/(-72).
16
1479/34*8/(-120)*260/104
-29/4
What is (-4)/((-37)/(-148)*4*(-4)/(-46))?
-46
Calculate (14710/(-13239))/((-2)/(-36)).
-20
What is -3*6/24*8/24*4?
-1
What is (3*(-8)/60*1530/119)/((-66)/154)?
12
What is (4/(-10)*360/(-504))/(-1*21/4557)?
-62
Evaluate (42/8)/(18/(-30)*(-1750)/(-9800)).
-49
What is the value of ((1303/(-31272))/(1/(-16)))/((-139)/(-3))?
2/139
What is the value of (6/(-14))/((-37)/(-102564)*-27)?
44
Calculate (6/(-56))/((-169)/(-251810)*149*5/24).
-36/7
Evaluate ((-6)/(-45))/((-17298)/8370).
-2/31
Calculate ((138/(-9))/23)/((-11)/(2970/(-100))).
-9/5
What is (33/24)/((-1100)/(-720))?
9/10
Evaluate (988/40)/19*6*4/(-60)*5.
-13/5
What is the value of -1*(-9)/(-12)*(-504)/(-1890)?
-1/5
What is -102*(-153)/1734*1/9*0?
0
Calculate (76/3344)/((-8)/320).
-10/11
Calculate (4*-3*11)/((-2794)/1397).
66
What is ((-63630)/(-13635))/(38/95*(-10)/6)?
-7
What is -4*(-176)/1152*-60*6/(-528)?
5/12
Evaluate ((-36540)/240)/87*2/(-28)*-4.
-1/2
What is the value of ((-1116)/120)/31*2*-30?
18
What is the value of (98736/(-153))/88*(-6)/209?
4/19
What is the value of ((-5)/(45/12))/((-139)/(27939/21574))?
2/161
Evaluate (2/((-6)/(-6)))/((-3)/14)*(-46782)/5198.
84
Evaluate ((29/(1740/18))/(2/50))/((-40)/240).
-45
What is 8*(251/502)/(8/(-106))?
-53
Calculate (((-96)/(-6))/(-32))/(4/((-80)/(-15))).
-2/3
What is (-3)/2*25/(-50)*-32*4/(-54)?
16/9
Evaluate (-532)/(-2204)*26/273*-6.
-4/29
What is (25/(-9))/(1107/6642)*(-5)/((-10)/(-12))?
100
What is (-744)/620*3/(153/30)?
-12/17
Evaluate 12*22/(-176)*-32*(-3)/9.
-16
((-18)/(-6)*2/15)/((-39)/(-390)*-25)
-4/25
What is the value of (3/(45/(-4)))/((-491350)/39625)?
2/93
What is 15/90*-3*48/468?
-2/39
Calculate (11/2)/((-6070)/2428).
-11/5
Calculate (46*180/9936*-12)/((-5)/(-58)).
-116
What is ((-8)/(-100))/((-9)/(-1890)*7*-6)?
-2/5
What is ((-2)/35)/((-13)/(-65))*(-3276)/(-10764)?
-2/23
Evaluate (-1)/((-160)/(-8))*((-10810)/329)/23.
1/14
What is the value of 5/(((-3)/(-12)*-2)/((-225)/50))?
45
Evaluate (65/(-2))/((144/6)/144*-3).
65
((-38)/57)/(((-1452)/693)/(4/(-14)))
-1/11
What is (-1)/55*-1*-5*(-40)/(20/5)?
10/11
Evaluate (((-358)/1253)/((-2)/(-266)))/((-36)/(-18)).
-19
What is (117/(-2808)*-32)/((30/4)/3)?
8/15
Evaluate 55/2*35906/(-4937075).
-1/5
What is ((-1)/(-3))/(13/1404)*325/(-4550)?
-18/7
Evaluate ((-12)/3)/(14/3)*(-209)/(643720/(-1960)).
-6/11
What is the value of ((5/(-280))/(5/(-12)))/(32/((-6208)/(-291)))?
1/35
(-61)/((-65880)/40)*6
2/9
Calculate (511/219)/(49/525).
25
What is the value of (-6*(-2)/60)/(284/(-355))?
-1/4
What is (-4)/((-7560)/(-90))*9?
-3/7
(((-141696)/(-486))/41)/((-24)/108)
-32
Evaluate 5*30/200*(-10)/(-15)*50.
25
80*38/(-760)*63/4
-63
What is the value of ((-8)/536)/(21/(-6))*119/17?
2/67
-1*-2*2/(-4)*210/1330
-3/19
What is (552/756)/(408/2856)?
46/9
What is the value of 190250/1522*6/(-10)?
-75
14*(-6)/(-72)*-3*20/3605
-2/103
Calculate (3513/(-9368))/((8/40)/(24/(-10))).
9/2
Calculate -36*(-30)/750*(-40)/(-8).
36/5
What is the value of (45/(-75))/(27/(-30)*105/175)?
10/9
What is the value of -6*76/57*3/(420/(-55))?
22/7
Evaluate ((-5884)/(-439829))/(20/(-195)).
-3/23
(21*(-6)/(-168))/((-16)/(-2368))
111
(-20)/110*(-198)/(-378)
-2/21
Evaluate (-2825)/(-1695)*171/5.
57
What is -4*(1736/(-56))/((-4)/(-2))?
62
What is ((-3)/230)/(149490/90600)?
-2/253
Evaluate ((-55)/(-33))/((-7)/(-252)).
60
Evaluate 6/9*-132*(-52)/27456*-4*4.
-8/3
Calculate (37/(-74))/(5/(-2))*0.
0
((-680)/(-1380))/(570/19665)
17
5236/4488*(-864)/(-231)
48/11
Calculate 300/(-9)*(-17817)/11878.
50
Calculate (2460/(-1476))/((-1975)/(-30)).
-2/79
Evaluate ((-564)/235)/(621/(-45)).
4/23
Evaluate 26/(-15)*((-6)/(-96)*-36)/((-9)/6).
-13/5
Calculate (-2)/((-112)/(-21))*2008/(-88854).
1/118
Evaluate (520/5980)/((-2*(-3)/(-4))/(96/128)).
-1/23
Evaluate (144430/1010)/((-44)/(-8)).
26
Evaluate 70/2*(-252)/3822*(-2548)/98.
60
What is ((54/(-210))/(11/(-77)))/(2086/745)?
9/14
What is the value of ((-322)/28)/((-1)/(-1))*40/((-40)/(-2))?
-23
What is ((45744/729045)/((4/(-6))/1))/(8/(-30))?
6/17
What is (-246987)/(-107661)*170/6?
65
Evaluate ((-48)/(-616))/((-23)/(-161)*-3).
-2/11
-103*3/15*320/160*5/(-2)
103
What is the value of ((-165)/25)/(231/1540)?
-44
((-10)/130*-2)/((-236)/19942)
-13
(252/23310)/(8*(-7)/(-35))*(-84)/14
-3/74
Calculate -2*((-564)/24)/(-47)*2/3.
-2/3
Calculate (2220/144)/(59/(2596/(-110))).
-37/6
What is the value of (-12)/((45/3)/((363/(-11))/3))?
44/5
Evaluate -25*45/13500*1.
-1/12
Calculate (59/118)/(10/(-4))*75/(-15).
1
Calculate -35*1/4*10*(-48)/300.
14
(-59)/(177/7)*((-6)/(-4))/(609/116)
-2/3
Calculate ((-2395)/(-15807))/((-1)/(-18)*25/40).
48/11
Calculate ((-2332)/636)/(24/(-9)).
11/8
What is -215*(24*25/600)/((-45)/(-108)*6)?
-86
Calculate ((9/6)/((-570)/60))/((-36)/(-8)).
-2/57
What is the value of (-31)/((-4340)/(-42))*24/18?
-2/5
What is the value of (-89)/(-534)*14/(-7)?
-1/3
What is the value of ((-30)/(-440))/(21*76/(-8778))?
-3/8
What is ((-15)/(-9))/((-513)/1197*2/(-18))?
35
What is the value of 56/28*1*((-36)/(-132))/1?
6/11
Evaluate 105*(-22)/(-231)*(-3)/((-30)/(-4)).
-4
((-2)/6)/(1975/669525)
-113
Calculate (-10)/(-4)*(1320/550)/(4/32).
48
Evaluate 72*50/(-160)*36/(-54).
15
What is (24/32)/(10/(-3920)*7)?
-42
What is (4/(((-11000)/30)/44))/((6/45)/(-1))?
18/5
Evaluate 272/(-510)*(-6)/(-104)*-225*(-102)/765.
-12/13
What is the value of (22/1155)/((-3402)/(-324)*(-18)/(-147))?
2/135
((4/(-2))/((-240)/48))/14
1/35
(98/(-455))/(44/55)*32/(-14)
8/13
Evaluate 22632/(-9430)*(-10)/(-246).
-4/41
Evaluate (28/126)/((-144)/81).
-1/8
(-9961)/7115*15/14
-3/2
What is the value of (-9867)/1495*1/11?
-3/5
What is (((-330)/44)/15)/((-33)/99)*(-296)/(-6)?
74
What is the value of (87/116)/(54/(-18))?
-1/4
What is ((6/(-9))/((-2)/(-3)))/(13/(-728))?
56
(2897/2897)/(3/201)
67
What is (-2*27/(-6))/((-130)/((-18720)/(-1512)))?
-6/7
What is (10374/(-52))/19*-4?
42
((38/304)/((-8)/192*-1))/(915/10)
2/61
What is the value of (21/30)/((-17787)/1815)?
-1/14
What is (-177*6/(-648))/((-68)/(-612))?
59/4
Calculate (17/(1020/50))/(6/((-108)/(-10)))*-42.
-63
Evaluate ((-1520)/(-570))/((-948)/9).
-2/79
Evaluate 62/4092*-108*22/(-3).
12
-2*(-32)/(-128)*12/(-30)
1/5
What is the value of (60/(-63))/((-78)/(-273))*9*14/12?
-35
Calculate (6/(-20))/(2736/(-36480))*1*(-3)/342.
-2/57
What is (((-6)/(-40))/(-1))/(29/(196504/(-363)))?
14/5
Calculate (-81)/6*4/2*141/(6627/94).
-54
(-57*(-24)/72)/((10/(-25))/((-8)/(-10)))
-38
Evaluate (-18)/(-30)*265/(-2)*1842/2763.
-53
What is (-69)/621*(-1539)/(-399)?
-3/7
W
|
{
"pile_set_name": "DM Mathematics"
}
|
.
0
Let m(c) = -59*c - 110. Let k be m(-2). Solve -4*y - 2*u - k = 0, -y = -2*y + 5*u + 20 for y.
0
Let c(q) = -2*q**2 + 44*q - 19. Let l be c(21). Solve 0 = -p + a - 6, -4*p + a = -8 + l for p.
-3
Let c be 138/(-9)*6/(-4). Suppose -c = -2*l + 3*h, 5*l - 44 - 1 = 5*h. Solve -3*x + 41 - 10 = 5*o, l*o - 3*x = 14 for o.
5
Let j(r) = r**3 + 22*r**2 - 24*r - 21. Let q be j(-23). Solve -20 = -2*x - 6*p + q*p, 5*p = 4*x + 25 for x.
0
Let x = 1198 + -1194. Solve x*i = -m - 16, 4*i = 3*m - 0*i for m.
-4
Suppose -2*t - 2*t + 132 = 0. Suppose -q - t = -4*q. Let n(f) = f - 10. Let g be n(q). Solve -11 = 2*l - 3*j - g, -5*j - 25 = 5*l for l.
-5
Let l(h) = -h**3 + 2*h**2 + 3*h. Let g be l(3). Suppose -p + 3 = -2*d - g*d, 4*p + d - 48 = 0. Solve o - 2*n = -1, 5*o + 2*n = -6 - p for o.
-3
Suppose 7*y - 9*y = -16. Suppose -4*w = 2*r + 2*r - y, -r + 14 = 5*w. Suppose -21 + 6 = -3*g. Solve 0 = -g*m - 4*n - 36, -2*m + w*n + 6 = 2 for m.
-4
Let h be (1/(-2))/(7/(-70)). Suppose a + 3*p - 13 = 0, 0*p - 25 = -5*a + h*p. Solve 25 = 5*w + 5*d, -2*w + 3 + a = d for w.
5
Let y(k) = 2*k - 16. Let l be y(10). Solve 3*r + 2*f + 1 = 0, f + 0 = l*r + 5 for r.
-1
Suppose 0 = -4*i - 16*i + 60. Solve 0*s = t - s + 5, i*t + 15 = -s for t.
-5
Suppose 5*h + 4*n - 8*n = 23, 2*h = -3*n. Solve 4*y + 0*y + 8 = -h*c, 2*c + 8 = 0 for y.
1
Suppose -t + 2*d = 6, 0 = 5*t - 5*d + 7 + 8. Suppose -j - j + 10 = t. Solve -4*o = -3*f + 21, -f - 3*o = -j*f + 21 for f.
3
Let k(j) = 10*j**2 - 221*j + 25. Let h be k(22). Solve -5*v + 17 = 2, -3*v = 3*o - h for o.
-2
Let o = -11 - -29. Suppose o*r - 16*r = 8. Solve -4*t = x + r, 0*t + 5*t + 18 = 2*x for x.
4
Suppose 0 = -5*a + 6*a + 4. Let p(c) = -c**3 - 4*c**2 - 3*c - 12. Let q be p(a). Solve -3*w + q = 4*m + 4, 3*m - 3*w + 24 = 0 for m.
-4
Suppose 6*k - 9 = 2*j + k, -j = 3*k - 12. Solve -j*s + 2*z = -4, -3*s + 20 = s + z for s.
4
Suppose -2*n - 3*v = -10, 4*v - 15 = -3*n + 9*v. Solve b + 3*j + 19 = -b, n*j = -3*b - 30 for b.
-5
Suppose -3*i = k - 23, -4*k - 3*i + 22 = -5*i. Let s = 12 - k. Solve -21 = 3*l + 2*t, -11 = s*t + 1 for l.
-5
Let q(b) = 2*b + 29. Let p be q(-8). Solve -2*v - 2*v - c - p = 0, 0 = -c - 5 for v.
-2
Let m be 35/21*(8 - -1). Suppose -5*i - x = -12, -5*i = 4*x + 10 - 28. Solve -y = 4*s + i*y - m, s - 2 = y for s.
3
Suppose 25 + 35 = -5*b. Let r be (-6)/36 - 98/b. Solve 3*h - 12 = 5*w, 0 = -4*w - h - 4 + r for w.
0
Let g = -16 + 20. Let y = -3 + g. Let t = -2 - -5. Solve -5*k = r + 15, t*k - 5 = 2*r - y for k.
-2
Suppose 1 = -l + 3. Suppose 17 - 13 = l*g. Solve 2*f + 2*i - 2 = 0, f + g*i - 5*i - 13 = 0 for f.
4
Let h(p) = p**3 - 3*p**2 + p + 2. Suppose -q + 6*q - 10 = 0. Let j be h(q). Solve -3*d = 2*m + 21, d - 2*m + j*m = 1 for d.
-5
Let v(d) = -3*d**2 + 13*d - 11. Let c be v(2). Solve 5*x + 3 = -2*l - 3, -x - l - c = 0 for x.
0
Let h(w) = -w**2 - 9*w + 6. Let r be h(-7). Let k = 29 - r. Suppose -k*d + 5*d = -56. Solve -2*o = -c - 13, o - 5*o - 2*c + d = 0 for o.
5
Let b(m) = -2*m - 6. Let l be b(-21). Let v be 5/(20/l) - 3. Solve 5 = 5*q - 5*k, -2*k - 2 + v = -4*q for q.
-3
Let u(w) = -2 - 9*w - 4*w**2 + 3*w**2 + 8*w. Let b be u(-2). Let a be 8/(-44) - b/22. Solve 4*v - 3*x - 20 = a, 3*x - 8 = 5*x for v.
2
Let b(j) = -j**2 - 7*j - 6. Let o be b(-5). Solve -3*f = v + 2 - 4, o*f - 1 = -3*v for f.
1
Suppose -10 = -2*x - 2*q, -3*q + 1 = -2*x + 6. Let g be -2*2/4 + x. Solve -4*s + 5*c + 16 = 0, 3*s = g*c + 11 + 1 for s.
4
Let j(u) = -u**3 + 23*u**2 - 20*u - 39. Let t be j(22). Solve 0 = t*v + 5*q + 20, 4*v + 9 = 4*q + 1 for v.
-3
Let f(s) = 3*s**3 - 16*s**2 + s + 24. Let h be f(5). Solve h*g - g = -c + 11, -25 = -5*c for g.
2
Let p(j) = 3*j**3 - 116*j**2 - 40*j + 57. Let d be p(39). Solve -d*u + 17*u + s = 0, u + s = 0 for u.
0
Let w(n) = -4 - n - n**2 + 0*n - 4*n + 0*n. Let v be w(-3). Suppose -5*i - 4 = -4*t - 12, -4*i - 4*t - 8 = 0. Solve i*f + v*f + 1 = h, f = -h - 2 for h.
-1
Let l = -753 - -756. Solve 5*h = -10*x + 5*x + 10, 0 = -x - l for h.
5
Let m = 16 - 10. Let n(w) = w**3 - w**2 - 2. Let k be n(2). Suppose m = -k*g + 5*g. Solve 4 = -3*q - l + 6*l, -3*q + 4*l = g for q.
2
Suppose -36 = -6*s + 4*s. Suppose -6*k + 12 = -s. Solve 4*u - 5*n + 12 = 0, -3*u + k*n = 3 + 6 for u.
-3
Let q(g) = g**3 - 2*g**2 - g + 9. Let y be q(4). Let v = y - 34. Solve 0 = v*u - 3*d - 15, -4*u + d + 2 = -3 for u.
0
Let a(f) = f. Let h be a(2). Suppose -y - h*q = -0*q + 4, -4*y + 3*q = 27. Let l be (-1)/(-2) - 33/y. Solve 4*k - 20 = -2*b, -2*b + l*b = -5*k + 25 for b.
0
Let i(p) = p**2 + 6*p + 6. Let f be i(-5). Solve -3*n - f = 2*o, -4*n - 2*o = o for n.
-3
Suppose 0 = -28*g + 24*g + 4. Solve g = n - l - 0, -l = 5 for n.
-4
Suppose -3*y + 9 - 6 = 3*o, -2*o - 4*y = 2. Solve 0 = 2*p - 3*f - 22, -p = o*f - 3 + 10 for p.
5
Let k = -113 + 143. Solve q - 6*q - k = -5*f, 2*f = -5*q - 16 for q.
-4
Let x = 1621 - 1617. Solve -x*q - 2*o - 10 = 10, -4*q - 24 = 3*o for q.
-3
Let b(c) = 2*c**3 + c**2 - 4*c + 4. Let d be b(1). Let h = 15 + -9. Suppose 2*s = -x, -d*s = -5*x - h*s + 14. Solve 0 = 3*l + 3*t, -3*l + 2*t = -x*l - 1 for l.
1
Let i = -2 - -8. Let h = -10 + 13. Let s(u) = u**2 + 18*u + 39. Let v be s(-16). Solve -5*l + 2*a = v, -4*l + i*a = h*a for l.
-3
Suppose -j - 5*p = -p - 28, -2*p - 58 = -4*j. Let o = -4651 + 4651. Solve o = 2*n - 4*n - 4*g - j, -n - 6 = g for n.
-4
Let j(q) = -q**2 + 7*q. Let d be j(7). Suppose -44*r + 47*r - 12 = d. Solve 4*b + 0 = -z + 17, 0 = -4*b + r*z - 8 for b.
3
Suppose -u - 124 = 5*f + 51, 2*f + 43 = 5*u. Let m = f + 41. Solve -m = t - 2, -4*t = -2*a + 16 for a.
-2
Suppose -3*v + 14 + 22 = 0. Let d = 14 - 20. Let l = 6 + d. Solve 5*h - m - v = l, -3*m + 4 + 2 = -h for h.
3
Suppose 0 = -c - 4, 0 = 2*k + 2*k + 3*c. Suppose 0 = k*h - 3*m - 27, -h + 0*m = 3*m + 7. Solve -i - 3 + h = -3*b, -2*b = -4*i + 8 for i.
2
Let b be ((-49)/14)/((-2)/(-4)). Let h = b + 12. Let i(p) = -p - 1. Let r be i(-5). Solve -r*q - 24 = -h*w, 4*w - 15 = -w - 5*q for w.
4
Let j = 78 - -4. Suppose -4*w + 6 = -j. Solve 0 = g - d + 3 - 2, 4*g + 2*d = -w for g.
-4
Suppose 22*b - 66*b + 176 = 0. Let a be 0 + (-3)/3 + 1. Solve -b*t + 5*c + 37 = 0, -5*c = -5*t - a*c + 40 for t.
3
Suppose -3 = -3*m + 3. Let i(s) = -s**3 + 6*s**2 + s + 8. Let w be i(6). Suppose -m*b - 6 = -w. Solve 3*r = b*v - 4, -6 = 4*r + 2*v + 14 for r.
-4
Suppose -5*k - 12 = -4*y, 2 = -y - 4*k + 5. Solve 3*j - 1 = 2*o - 0*j, 21 = y*o + 3*j for o.
4
Let d = -93 + 98. Solve -5*f + 35 = -3*i, -5*f + d = i - 10 for i.
-5
Suppose 4*t - 4 = 32. Suppose t*k - 7*k = 6. Solve -k*l + 0*l = -y + 8, 0 = -5*y - 4*l + 21 for y.
5
Let w be 12/2 - (-13 + 10). Let r = -7 + w. Suppose 6*f = 10*f - 12. Solve 2*z + u - 5 = 0, -r*z - f = z - 2*u for z.
1
Suppose 54 = -21*t + 27*t. Let a be 4 + (-3)/t + (-4)/6. Solve -4*r + a*i - 11 = 0, -8 = 3*r - 3*i + i for r.
-2
Suppose -115 = -5*w + 4*s, -4*w + 14 = 4*s - 78. Solve t - 3*t = -5*o - w, -3*o - t = 5 for o.
-3
Let d = 364 - 360. Solve 0 = 2*v - z - d, 2*z = v + v for v.
4
Let w be 318/(-265)*10/(-2). Solve -2*t - 8 = 4*n, 4*t - 3*n = -6*n - w for t.
0
Let k be (-72)/7 - (-14 + 1632/119). Let w = -3 + 2. Let i be (k/25)/(w/5). Solve -11 = -2*n + 6*o - 3*o, 3*o = -i*n - 7 for n.
1
Let i(x) = -x**3 + 11*x**2 + 11*x + 12. Let o be i(12). Suppose o = 5*v + 3 - 43. Let j = v - 6. Solve -5*r = -w - 0*w + 4, 0 = r - j*w + 8 for r.
0
Suppose 5*f - 196 + 71 = 0. Let s be 18/(-1 + f/15). Solve -2*z - s = 5*j, 0 = -2*z + 4*z + 2 for j.
-5
Let o = -5 - -8. Suppose q = -o + 8. Let z be (-1022)/(-35) + (-2)/10. Solve 0 = -3*l + q*r + 3, 4*l + l + 3*r = -z for l.
-4
Let f be (120/36)/(2/3). Suppose 8 = f*k - 7. Suppose 3*g = v + 30, 5*g - 2 = -k*v + 34. Solve -12 = 2*o + o - 4*z, -3*z + g = 2*o for o.
0
Let d(w) = w + 11. Let o be d(0). Let a be (8/(-20))/(3/(-30)). Suppose -3*h + j + 9 = 0, -5*h + a*j + o = j. Solve -p = 5*x - 5 + 12, -h*x + 4 = -4*p for p.
-2
Suppose -4*k + 0*k + 16 = 0. Suppose n = -k*b + 17, 2*n = -2*b - n + 11. Solve 3*m + 1 + 4 = -5*q, 30 = -b*m + 5*q for m.
-5
Suppose -4*c + 172 = 20. Suppose 4*u + c = 58. Solve -5*s + f = -u, 0*s - 23 = -4*s - 3*f for s.
2
Suppose 0 = -2*c - 0 + 10. Suppose -3*p + 0 + c = -2*u, -p + 5*u - 20 = 0. Suppose p*l - 12 = 2*l. Solve -l*b = -v - 3, v + b - 2 = 5 for v.
5
Let w = -2555 + 2559. Solve 0 = -2*j - w*u - 8
|
{
"pile_set_name": "DM Mathematics"
}
|
0 a multiple of 95?
True
Does 3 divide 2730?
True
Does 24 divide 1176?
True
Is 26 a factor of 12714?
True
Does 8 divide 47264?
True
Is 9520 a multiple of 70?
True
Is 1725 a multiple of 15?
True
Does 19 divide 554?
False
Does 4 divide 570?
False
Is 54 a factor of 2268?
True
Is 33588 a multiple of 311?
True
Does 36 divide 2659?
False
Is 14135 a multiple of 11?
True
Is 2 a factor of 492?
True
Is 25 a factor of 29500?
True
Does 11 divide 5082?
True
Does 3 divide 249?
True
Is 79299 a multiple of 81?
True
Is 14929 a multiple of 64?
False
Does 5 divide 350?
True
Does 10 divide 20474?
False
Does 26 divide 1040?
True
Is 14 a factor of 14059?
False
Does 39 divide 49?
False
Is 12 a factor of 3444?
True
Is 9 a factor of 1026?
True
Does 15 divide 19375?
False
Does 8 divide 250?
False
Is 5 a factor of 5365?
True
Does 3 divide 599?
False
Does 14 divide 38153?
False
Is 2 a factor of 61?
False
Is 13 a factor of 1126?
False
Is 28 a factor of 24556?
True
Is 7 a factor of 4655?
True
Is 140 a multiple of 35?
True
Does 6 divide 648?
True
Does 7 divide 1904?
True
Is 17 a factor of 1938?
True
Does 82 divide 574?
True
Is 37 a factor of 923?
False
Does 103 divide 4944?
True
Is 912 a multiple of 16?
True
Does 19 divide 196?
False
Is 31 a multiple of 4?
False
Is 15249 a multiple of 68?
False
Is 12180 a multiple of 13?
False
Is 10 a factor of 1610?
True
Is 8449 a multiple of 2?
False
Is 7856 a multiple of 76?
False
Is 61 a factor of 29768?
True
Is 18 a factor of 130131?
False
Does 15 divide 1582?
False
Does 99 divide 40491?
True
Is 89550 a multiple of 225?
True
Does 22 divide 1222?
False
Is 10303 a multiple of 31?
False
Is 100 a multiple of 5?
True
Is 6 a factor of 843?
False
Does 26 divide 16338?
False
Is 3323 a multiple of 13?
False
Is 84 a factor of 2184?
True
Is 122248 a multiple of 413?
True
Is 5 a factor of 745?
True
Does 86 divide 15222?
True
Is 4 a multiple of 4?
True
Does 16 divide 1648?
True
Is 423 a multiple of 47?
True
Is 8 a factor of 6002?
False
Does 50 divide 1900?
True
Is 1476 a multiple of 18?
True
Does 85 divide 85?
True
Is 91 a factor of 40487?
False
Does 35 divide 1342?
False
Is 1106 a multiple of 14?
True
Is 240 a multiple of 3?
True
Is 22 a factor of 16698?
True
Does 139 divide 13205?
True
Is 340 a multiple of 17?
True
Does 172 divide 20640?
True
Is 143 a factor of 44473?
True
Does 81 divide 4779?
True
Is 120 a multiple of 15?
True
Is 7117 a multiple of 9?
False
Does 3 divide 153?
True
Is 4 a factor of 787?
False
Is 30 a factor of 319?
False
Is 9 a factor of 32960?
False
Is 20 a factor of 1926?
False
Is 1488 a multiple of 13?
False
Is 50 a factor of 6050?
True
Is 142 a factor of 6532?
True
Is 13 a factor of 5665?
False
Does 11 divide 825?
True
Is 55606 a multiple of 202?
False
Is 96 a factor of 3311?
False
Is 3 a factor of 144?
True
Does 45 divide 2970?
True
Is 280 a multiple of 3?
False
Is 121 a multiple of 20?
False
Does 2 divide 916?
True
Does 7 divide 140?
True
Does 162 divide 10735?
False
Does 33 divide 16104?
True
Does 7 divide 132?
False
Is 47 a factor of 64507?
False
Is 8 a factor of 219?
False
Is 9 a factor of 9423?
True
Does 25 divide 2225?
True
Is 34 a factor of 1428?
True
Is 99174 a multiple of 176?
False
Is 4 a factor of 32?
True
Is 1189 a multiple of 41?
True
Is 24 a factor of 2592?
True
Does 67 divide 35861?
False
Is 12 a factor of 471?
False
Is 4 a factor of 267?
False
Is 15 a factor of 6855?
True
Is 9847 a multiple of 43?
True
Is 10 a factor of 585?
False
Is 3146 a multiple of 13?
True
Does 5 divide 2014?
False
Is 9 a factor of 765?
True
Is 64 a factor of 1290?
False
Is 386 even?
True
Is 24131 a multiple of 32?
False
Is 5872 a multiple of 11?
False
Is 5 a factor of 707?
False
Is 21 a factor of 26269?
False
Is 14 a multiple of 6?
False
Is 112 a multiple of 14?
True
Is 820 a multiple of 10?
True
Is 17 a factor of 17?
True
Is 9090 a multiple of 32?
False
Does 42 divide 378?
True
Is 489 a multiple of 92?
False
Does 12 divide 2574?
False
Is 35 a factor of 927?
False
Is 227 a factor of 64922?
True
Is 61 a factor of 17385?
True
Is 23 a factor of 2847?
False
Does 133 divide 2394?
True
Is 4 a factor of 5284?
True
Is 8 a factor of 5197?
False
Does 5 divide 1518?
False
Does 44 divide 24830?
False
Is 3080 a multiple of 4?
True
Does 6 divide 1460?
False
Is 444 a multiple of 74?
True
Is 27 a factor of 702?
True
Does 66 divide 7284?
False
Is 10 a factor of 2129?
False
Is 44 a factor of 40762?
False
Is 20 a factor of 6160?
True
Is 8 a factor of 1824?
True
Is 17368 a multiple of 10?
False
Is 6095 a multiple of 57?
False
Is 10 a factor of 47875?
False
Is 408 a multiple of 4?
True
Is 434 a multiple of 14?
True
Does 30 divide 420?
True
Does 7 divide 213?
False
Is 40 a factor of 31040?
True
Is 51789 a multiple of 183?
True
Does 26 divide 22958?
True
Is 138 a factor of 16974?
True
Is 49 a factor of 196?
True
Is 37 a multiple of 4?
False
Is 9078 a multiple of 89?
True
Does 9 divide 28544?
False
Is 930 a multiple of 13?
False
Does 69 divide 1182?
False
Is 35 a factor of 5819?
False
Does 17 divide 54876?
True
Is 50 a factor of 24697?
False
Is 158 a multiple of 2?
True
Is 5 a factor of 9498?
False
Is 13026 a multiple of 7?
False
Is 10 a factor of 570?
True
Is 107 a factor of 2675?
True
Is 13 a factor of 10554?
False
Is 89 a factor of 2937?
True
Is 1472 a multiple of 4?
True
Is 662 a multiple of 22?
False
Is 108 a factor of 7344?
True
Is 107 a factor of 321?
True
Does 134 divide 11792?
True
Is 15 a factor of 39?
False
Is 16 a multiple of 4?
True
Does 8 divide 32?
True
Is 13 a factor of 328?
False
Does 34 divide 612?
True
Is 171 a factor of 47367?
True
Is 78 a factor of 5126?
False
Is 156 a multiple of 52?
True
Is 3087 a multiple of 7?
True
Is 576 a multiple of 12?
True
Does 15 divide 2864?
False
Does 47 divide 2016?
False
Is 87 a factor of 21663?
True
Does 35 divide 345?
False
Is 222 a factor of 11926?
False
Does 74 divide 814?
True
Does 8 divide 6519?
False
Is 23614 a multiple of 170?
False
Is 15 a factor of 6607?
False
Is 2772 a multiple of 84?
True
Is 665 a multiple of 20?
False
Is 289 a multiple of 6?
False
Does 9 divide 1418?
False
Is 53 a factor of 1367?
False
Is 36231 a multiple of 31?
False
Is 406 a multiple of 29?
True
Is 228 a multiple of 19?
True
Is 12 a factor of 29520?
True
Is 39 a multiple of 2?
False
Is 1007 a multiple of 19?
True
Is 33 a factor of 4455?
True
Is 33 a factor of 14718?
True
Does 15 divide 9345?
True
Is 35 a factor of 1831?
False
Is 904 a multiple of 113?
True
Is 15 a factor of 174?
False
Is 4675 a multiple of 5?
True
Is 11 a factor of 3696?
True
Does 38 divide 576?
False
Does 41 divide 897?
False
Is 913 a multiple of 64?
False
Does 65 divide 30397?
False
Is 676 a multiple of 7?
False
Is 15 a factor of 735?
True
Does 3 divide 123?
True
Does 17 divide 7085?
False
Is 170 a factor of 21357?
False
Is 4607 a multiple of 2?
False
Does 27 divide 1809?
True
Is 1657 a multiple of 13?
False
Is 3127 a multiple of 28?
False
Is 4 a factor of 648?
True
Is 18 a factor of 3040?
False
Does 45 divide 9577?
False
Is 3813 even?
False
Is 59 a factor of 531?
True
Is 11 a factor of 508?
False
Does 66 divide 792?
True
Does 61 divide 3286?
False
Is 1677 a multiple of 24?
False
Does 27 divide 6439?
False
Is 21 a factor of 81501?
True
Is 5488 a multiple of 8?
True
Is 8492 a multiple of 11?
True
Does 21 divide 3360?
True
Is 27 a factor of 571?
False
Is 13 a factor of 586?
False
Does 46 divide 2659?
False
Does 81 divide 2673?
True
Does 32 divide 32?
True
Is 455 a multiple of 17?
False
Is 1061 a multiple of 23?
False
Is 140 a factor of 100706?
False
Is 11 a factor of 3553?
True
Is 14 a factor of 726?
False
Does 10 divide 11022?
False
Is 2310 a multiple of 7?
True
Is 57 a factor of 142010?
False
Does 62 divide 541?
False
Is 70 a factor of 8299?
False
Is 18126 a multiple of 6?
True
Does 79 divide 10164?
False
Is 123757 a multiple of 12?
False
Does 29 divide 1189?
True
Is 37 a factor of 23384?
True
Is 823 a multiple of 6?
False
Does 15 divide 945?
True
Does 23 divide 1150?
True
Does 28 divide 1007?
False
Is 37 a multiple of 21?
False
Does 13 divide 39?
True
Is 1180 a multiple of 65?
False
Is 154267 a multiple of 468?
False
Is 1253 a multiple of 34?
False
Does 72 divide 16355?
False
Is 963 a multiple of 11?
False
Is 2234 a multiple of 69?
False
Is 7 a factor o
|
{
"pile_set_name": "DM Mathematics"
}
|
True
Does 1599 divide 37638861?
True
Is 54453593 a multiple of 8?
False
Does 412 divide 161677040?
True
Does 2283 divide 40182762?
False
Is 1147184 a multiple of 28?
False
Is 13 a factor of 5803153?
False
Is 6 a factor of 16032618?
True
Is 529 a factor of 190619860?
True
Is 156 a factor of 554374989?
False
Is 917802 a multiple of 18?
True
Is 541 a factor of 86918297?
False
Is 47 a factor of 61565838?
False
Is 9 a factor of 57400803?
True
Is 589496408 a multiple of 70?
False
Is 138646856 a multiple of 8?
True
Is 304 a factor of 938614592?
True
Does 14 divide 5253822?
True
Does 27 divide 788974426?
False
Does 3679 divide 4218999941?
True
Does 163 divide 542425829?
False
Is 1417 a factor of 68325838?
False
Is 16078661 a multiple of 294?
False
Is 63209533 a multiple of 1418?
False
Is 710890554 a multiple of 451?
True
Is 3269 a factor of 57557283?
True
Does 10 divide 2968828482?
False
Is 5 a factor of 792209860?
True
Is 879 a factor of 302376879?
True
Is 173440559 a multiple of 192?
False
Is 229581126 a multiple of 597?
True
Does 1592 divide 23183295?
False
Is 33266942 a multiple of 533?
False
Does 56 divide 35650522?
False
Is 11 a factor of 476242569?
True
Is 5728499 a multiple of 917?
True
Is 229 a factor of 108550769?
False
Is 314 a factor of 2422698504?
False
Is 12 a factor of 510242581?
False
Does 2160 divide 59304960?
True
Is 875187780 a multiple of 15?
True
Does 13 divide 14132937?
True
Is 473 a factor of 124425961?
True
Is 1520540352 a multiple of 52?
False
Does 63 divide 471386412?
True
Does 276 divide 18591636?
True
Does 15175 divide 4806134950?
True
Is 58210040 a multiple of 70?
True
Does 9 divide 13064695?
False
Is 847542477 a multiple of 1912?
False
Does 398 divide 1667809846?
True
Is 499 a factor of 1011465515?
True
Is 184593046 even?
True
Does 26 divide 43306400?
False
Is 1628 a factor of 31816471?
False
Does 6145 divide 1717767155?
True
Is 146 a factor of 1168974338?
False
Does 9 divide 588161466?
True
Does 7 divide 7133042?
True
Is 4696 a factor of 1730550383?
False
Does 44 divide 2271652?
False
Is 516 a factor of 426612288?
True
Is 29 a factor of 250662631?
True
Is 1105 a factor of 123976580?
True
Is 29283163 a multiple of 2093?
True
Is 1389020 a multiple of 142?
False
Does 12 divide 1778910492?
True
Does 4 divide 55390837?
False
Does 700 divide 24976093?
False
Is 956770860 a multiple of 30?
True
Is 3508090 a multiple of 10?
True
Is 8 a factor of 30007968?
True
Is 113 a factor of 332007334?
True
Is 35959350 a multiple of 138?
True
Does 461 divide 38448783?
True
Is 47 a factor of 1911903036?
True
Is 150166400 a multiple of 6?
False
Does 1671 divide 19808149?
False
Is 39923254 a multiple of 245?
False
Is 5347938 a multiple of 104?
False
Does 2004 divide 78476640?
True
Is 18495378 a multiple of 162?
True
Is 7039402586 a multiple of 943?
True
Is 588757764 a multiple of 125?
False
Is 38809555 a multiple of 111?
False
Is 8970956 a multiple of 14?
False
Does 13 divide 13595192?
True
Is 584497026 a multiple of 1737?
True
Is 3550 a factor of 1276706?
False
Does 801 divide 710743320?
True
Does 12 divide 9531318?
False
Does 25 divide 2316389175?
True
Does 115 divide 1550767930?
False
Is 3260806369 a multiple of 8389?
False
Is 306 a factor of 1305526968?
True
Does 2582 divide 75012264?
True
Does 35 divide 20594840?
True
Is 155 a factor of 589440975?
True
Does 53 divide 265304273?
True
Is 363759154 a multiple of 126?
False
Is 126 a factor of 157874498?
False
Does 6161 divide 2687295669?
False
Does 51 divide 30235962?
True
Is 12535435 a multiple of 70?
False
Is 267955009 a multiple of 7?
True
Is 81 a factor of 277024131?
True
Is 29 a factor of 34744929?
True
Is 25 a factor of 2311429?
False
Is 151 a factor of 39051167?
True
Does 1792 divide 10132098?
False
Is 17 a factor of 394480206?
True
Is 627941 a multiple of 21?
False
Does 72 divide 472855824?
True
Is 584 a factor of 669935016?
True
Does 17 divide 549523912?
True
Does 9 divide 128039755?
False
Does 11 divide 40139810?
False
Is 2 a factor of 187742196?
True
Is 192621879 a multiple of 23?
False
Is 225939008 a multiple of 64?
True
Does 7 divide 112212938?
False
Is 20 a factor of 2456504766?
False
Does 14 divide 24933025?
False
Does 168 divide 274064900?
False
Is 5494 a factor of 613773198?
True
Is 2134 a factor of 103207687?
False
Is 68 a factor of 697618052?
True
Does 21 divide 91815383?
False
Is 1428635386 a multiple of 2523?
False
Is 59 a factor of 45210102?
False
Does 16 divide 78332528?
True
Is 710 a factor of 28000270?
True
Is 1161751922 a multiple of 47?
True
Is 2127 a factor of 514191615?
True
Does 92 divide 33308784?
True
Is 5419246 a multiple of 34?
False
Is 53045076 a multiple of 42?
True
Is 10920162 a multiple of 68?
False
Is 47913120 a multiple of 10?
True
Is 117287040 a multiple of 3552?
True
Is 375029 a multiple of 12?
False
Does 4 divide 299546580?
True
Does 55 divide 17938360?
True
Is 99904642 a multiple of 24?
False
Does 193 divide 23462817?
True
Is 27 a factor of 24087166?
False
Does 21 divide 11334015?
True
Is 369257090 a multiple of 3808?
False
Is 5092158 a multiple of 8?
False
Is 102 a factor of 28144248?
True
Does 23 divide 235631757?
True
Does 352 divide 26158803?
False
Does 32 divide 3833411584?
True
Is 1458970569 a multiple of 1739?
True
Is 63 a factor of 40190226?
False
Is 1621016089 a multiple of 79?
True
Does 1318 divide 2657652104?
True
Is 6177714694 a multiple of 13?
False
Is 4163727433 a multiple of 31?
False
Does 135 divide 215547480?
True
Does 26 divide 6943982?
False
Is 59 a factor of 46860394?
False
Is 1310 a factor of 286954773?
False
Is 1990160074 a multiple of 84?
False
Is 47652044 a multiple of 19?
False
Is 4597 a factor of 550466274?
False
Is 821270638 a multiple of 6?
False
Is 12 a factor of 1178540?
False
Does 17 divide 143996766?
True
Does 32 divide 185771792?
False
Does 65 divide 157010165?
True
Is 207 a factor of 79699554?
True
Is 40 a factor of 491426969?
False
Does 6 divide 30954594?
True
Is 171 a factor of 7799994?
True
Is 8305296 even?
True
Is 563481501 a multiple of 2239?
False
Is 27 a factor of 6065442?
True
Is 214 a factor of 335987?
False
Is 3958289379 a multiple of 291?
True
Does 92 divide 1034009?
False
Is 104 a factor of 1194876904?
True
Is 14316750 a multiple of 1125?
True
Is 12050099 a multiple of 17?
False
Is 19 a factor of 162645586?
True
Does 7 divide 22336648?
False
Is 8234 a factor of 1949835902?
True
Is 85410692 a multiple of 588?
False
Is 95450736 a multiple of 552?
True
Does 236 divide 1237525000?
True
Is 447238 a multiple of 4?
False
Is 248 a factor of 182722680?
True
Is 3820 a factor of 1049166820?
True
Does 700 divide 3717000?
True
Does 441 divide 25440640?
False
Is 16 a factor of 1825220891?
False
Is 8184636 a multiple of 101?
True
Does 34 divide 1901706?
False
Is 13 a factor of 25718641?
True
Is 1148088373 a multiple of 4409?
False
Is 46855949 a multiple of 6?
False
Is 244 a factor of 101752636?
True
Does 52 divide 212556001?
False
Is 28404075 a multiple of 352?
False
Is 1666 a factor of 1635331674?
False
Is 10 a factor of 28364366?
False
Is 2137803 a multiple of 12?
False
Is 387 a factor of 716263857?
True
Is 205839328 a multiple of 736?
True
Does 22 divide 2476359776?
True
Is 35965833 a multiple of 229?
False
Is 412574930 a multiple of 2375?
False
Is 388923870 a multiple of 1770?
True
Does 2657 divide 132711836?
True
Does 53 divide 7707839?
False
Does 1034 divide 659857599?
False
Is 304068083 a multiple of 46?
False
Is 3561308 a multiple of 3?
False
Is 196922700 a multiple of 13?
True
Does 91 divide 80327686?
False
Is 78 a factor of 192265320?
True
Is 30 a factor of 1304935920?
True
Is 3981 a factor of 169542828?
True
Is 49508858 a multiple of 29?
True
Does 23 divide 1259172518?
False
Is 24526800 a multiple of 45?
True
Is 778 a factor of 68607930?
True
Does 60 divide 16028340?
True
Does 29 divide 59379511?
False
Is 48 a factor of 685597329?
False
Does 845 divide 1180945096?
False
Is 31831419 a multiple of 94?
False
Is 3309 a factor of 37441335?
True
Does 40 divide 7593239?
False
Is 1120 a factor of 1257802560?
True
Is 312363543 a multiple of 11?
False
Is 872578554 a multiple of 69?
True
Does 24 divide 69670389?
False
Is 1624 a factor of 163512440?
True
Is 36 a factor of 92442685?
False
Is 267005703 a multiple of 94
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is smaller: k or b?
b
Let y = 9752/3 - 3135. Is 115 equal to y?
False
Let v = -487 - -481. Which is bigger: v or -64/9?
v
Let s = 140 - 146.3. Let m = 6.4 + s. Is m at most as big as 2/17?
True
Let m be 27 - -2*(-3 - -4). Let d = m + -47. Which is smaller: d or -17?
d
Let d be 3*(32/12)/4. Let o = -19 - d. Is o at most as big as -19?
True
Let h(l) = l**3 - 7*l**2 + 9*l + 24. Let r be h(6). Which is greater: r or 3?
r
Let h(k) be the third derivative of -k**6/120 - k**5/5 - 5*k**4/12 + 5*k**3/3 - 8*k**2. Let x be h(-11). Which is smaller: 1/22 or x?
x
Let o = -647 + 628.1. Does o = 0.1?
False
Let p(d) = -16*d - 2*d**2 + 10 - 10. Let r be p(-8). Suppose 3*h + r*h = 0. Is -2 less than h?
True
Suppose -3*h - 37*d = -35*d - 23, 5*h + 5*d = 40. Which is greater: h or 26?
26
Let a = -1396/27 + 110290/2133. Which is greater: 1 or a?
1
Suppose -23 = -3*x + w - 21, 4*x = -2*w - 4. Suppose 0 = 3*y - y - 4. Suppose 2 = -y*t - x*t. Do t and 2/27 have the same value?
False
Suppose -b = 3*s - 200, 3*s + 235 = -2*b + 641. Let i be (-4156)/(-10)*(-8)/(-16). Let l = b - i. Is -2 <= l?
True
Let i = 235 - 588. Is -1/3 >= i?
True
Let i = 1 - 1.1. Let l = -146 + 161. Which is smaller: l or i?
i
Let s(x) = x**2 - 10*x - 1. Let j be s(11). Let k be (-714)/(-24) - (-1)/4. Suppose -k = -3*o - 3*g, 16 = o + 4*g + 3. Is o < j?
True
Suppose f + 2*v = 3*f, -4*f + 3*v = 0. Suppose -13*k = -22*k - 81. Is k greater than f?
False
Suppose -26*i = -12*i - 214*i - 400. Let x = -1.7 + 14.7. Is x greater than or equal to i?
True
Let y be (4*(-3)/(-9))/(2/3). Let o(w) = -3*w**2 + 3*w - 2. Let m be o(y). Which is smaller: m or 1?
m
Let x be (-4)/30 - 411/(-45). Suppose 4*v = 25 - x. Suppose -v = 3*u - 1. Is u bigger than -2/5?
False
Let y(h) = h**2 + 21*h + 73. Let o be y(-17). Which is greater: o or 13?
13
Let t = -0.462 - 11.538. Let y = -4 - -6. Is t > y?
False
Let r(u) = -u**2 + 2*u + 6. Let d be r(-4). Let y = d - 1. Let o = -18 - y. Which is bigger: o or 2/25?
o
Let s = 19 - 14.5. Let d = 4.3 - s. Which is greater: d or -17?
d
Let d(k) = -3*k**2 - 34*k - 8. Let v be d(-12). Let g = -86 + 53. Which is smaller: g or v?
g
Let t(j) = j**2 + 2*j. Let r be t(-2). Let v = -35/12 - -11/3. Is v at least r?
True
Let x = -58.71 - -59. Let w = -0.42 + x. Which is bigger: w or 2?
2
Let k = -3151 + 3157. Suppose 3*v = -3*t + 9, -4*t - 18 = -v - 5. Is k > v?
True
Let x be (-2)/2 + 50/46. Suppose 2*p - 28 = 6*p. Let n(i) = i**2 + 6*i - 7. Let w be n(p). Which is greater: w or x?
x
Suppose 2*n = 4*n. Suppose n = 5*s - s. Which is smaller: s or 1?
s
Let p = 20 + -20.9. Let t = 0.7 + p. Which is smaller: -24 or t?
-24
Let q = -0.2 - -0.24. Let u = 70.16 - 70. Let r = u + q. Is r bigger than 0.1?
True
Suppose -4*x - 5*j + 20 = 0, j + 8 = -4*x + 3*j. Suppose 40*s - 45*s + 5 = x. Which is smaller: 2 or s?
s
Let b(c) = 7*c + 2. Let n(w) = -20*w - 6. Let q(x) = 14*b(x) + 5*n(x). Let j be q(-1). Which is greater: 2/103 or j?
2/103
Let x(d) = d**2 + 99*d - 935. Let s be x(0). Is -936 less than s?
True
Let z = 1089 + -1042. Which is greater: -1.4 or z?
z
Let b = -2 - -4. Suppose -b*f = -4*f - 34. Which is greater: -18 or f?
f
Let g be (-6)/9 - (-8)/3. Let q be (1 - g)/(3/(-12)). Let b = 23/6 + -7/2. Is q less than b?
False
Let h = 428 - 415. Which is bigger: h or 12?
h
Suppose 10*i = 11*i + 33. Let q be 0 + 6/(-33) + 291/i. Is -5 greater than or equal to q?
True
Let f(w) = w**2 - 31*w + 161. Let l be f(23). Let t be 1 + -24 - (1 - 2). Are l and t unequal?
True
Let j = -44 - -51. Let y be -1 + (9/3 - 3). Let n = y + 7. Is j < n?
False
Let j = 1550 + -6149/4. Which is smaller: 14 or j?
j
Let w be (-4)/(-22) + 450/(-297). Suppose 6*g - 2*g - 4 = 0. Suppose 6*z + 11 = -g. Does w = z?
False
Let k be (7/(-6)*9)/((-4)/8). Do 9 and k have the same value?
False
Let u = -0.4 - -0.4. Let j = -34 - -34.03. Let d = j - 0.03. Is d > u?
False
Suppose 5*j + 18 = -j. Let t(h) = -h**2 - 5*h - 3. Let d be t(-3). Suppose f + 9 = d. Which is smaller: f or j?
f
Suppose i + i - 2*y - 4 = 0, -y - 11 = -4*i. Suppose -4 - i = -7*w. Does w = -1/33?
False
Let w be 0 + 5 - 2/100*282. Is w greater than -2?
True
Suppose 1 = -q + 4. Suppose b + 4 = 2*u - 0*u, -q*u - 4*b - 16 = 0. Is u at least 4/15?
False
Let i = 65 - 26. Let r = i + -23. Which is smaller: 17 or r?
r
Let k = 18 + -16.6. Let y = 1.9 - k. Which is smaller: -2 or y?
-2
Let x(j) = j**3 - j**2 + 6. Let f be x(0). Let m be (f/(-13))/(2 - 0). Do 1 and m have the same value?
False
Let u = -192 - -185. Is -4 at least as big as u?
True
Let s = 20 - 20.03. Let x = 0.83 + s. Let h = x - -0.2. Is h greater than 7?
False
Suppose 0 = 3*n + 5*v - 16, 2*v = -4*n - 3*v + 13. Which is greater: -66/23 or n?
-66/23
Let s = -0.32 + 0.35. Let q = 7.2 + -1.1. Let a = -6 + q. Which is bigger: a or s?
a
Let u = 107 - 55. Suppose -8*z + 64 = -344. Is z equal to u?
False
Let w = 8 - 10. Let f(z) = 3*z - 1. Let j be f(-5). Let p = -53/3 - j. Does p = w?
False
Let v = -4.7 - -2.8. Let x be (-68)/(-1428)*(7 - 1). Which is greater: x or v?
x
Suppose -6*u + 5*q = -u + 20, 0 = 4*u - 5*q + 19. Let b = 16 + -23. Let d be 4/(-6) - b/(-21). Does u = d?
True
Let t = 49.97 - 50. Is t > 2/15?
False
Let j = 101 + -12. Suppose -33 = 86*v - j*v. Which is smaller: 12 or v?
v
Let i be ((-14)/1 - -2)*1. Let b = -125 + 125. Is b less than or equal to i?
False
Let l = 15.02 + -0.02. Let f = 6 - l. Which is greater: 1/2 or f?
1/2
Let o = -296 - -126. Let v be (12/50)/((-9)/o). Let w = v + -29/6. Is 0 equal to w?
False
Let g = -3351 - -3390. Let c(n) = 19*n. Let j be c(2). Which is greater: j or g?
g
Let y = 0 + 7. Suppose 34 = -9*p - 25*p. Is y greater than or equal to p?
True
Let l be 2 + (852 - -5)*-1. Is -853 bigger than l?
True
Let v = -40.9 + 12.9. Which is smaller: v or -2?
v
Suppose -18*m + 20*m = 0. Let n be m - (-5)/((-45)/2). Which is smaller: -25 or n?
-25
Let o = 0.0315 - 0.2315. Which is greater: o or -21/8?
o
Let r = 5 - -12. Let q = -18.17 + 0.17. Let g = 19 + q. Which is greater: g or r?
r
Let k = 21 - 29. Let w be (-6)/(-8) + 30/k. Is w greater than -6?
True
Let o = -8273159/1005 + 8232. Is o smaller than 1?
True
Let y be (1/(-21))/(((-637)/42)/(-7)). Are -1 and y non-equal?
True
Let x = -7 - -8. Let w = 7 - 5. Suppose 0*v - w*v + 26 = 0. Is v at least as big as x?
True
Suppose 1 = 3*j - 5. Let x(d) = -2*d**2 + 25*d - 21. Let r be x(15). Let a be 10/(-4)*r/420. Is j at least a?
True
Suppose 5*s + 3*u - 77 + 117 = 0, u + 20 = -3*s. Is -18 <= s?
True
Suppose 0 = i - 2*g + 7, -2*g + 15 = 3*i + 4. Let j = 22 + 3. Let c be (16/j)/((-24)/(-60)). Which is smaller: c or i?
i
Let p(v) = v**3 - 7*v**2 - 8*v - 4. Let a be p(8). Which is smaller: 42 or a?
a
Suppose 5*q - 12*q - 1687 = 0. Is q at least -241?
True
Let i = -95.61 - 12.29. Let x = -108 - i. Let p = -12 + 3. Which is smaller: p or x?
p
Let x be ((-2)/(-4) + -2)/(12/128). Which is greater: -15 or x?
-15
Suppose 9*h - 5*h - 120 = 0. Let q be 1/(-11) - h/165. Suppose -s = 2, 3*v + 0*v + 6 = -3*s. Is v equal to q?
False
Let o = -1225 + 1234. Do o and 16 have the same value?
False
Let r be (40/160)/(237/(-120) + 2). Which is smaller: r or 156/17?
156/17
Let w = 0.12 - -0.05. Let h = 127 + -128.83. Let i = w - h. Which is smaller: i or -1?
-1
Let n = -90.9 - -90.56. Is 0.4 equal to n?
False
Suppose -2*u + 0*u - 2*f = -3260, -6518 = -4*u - 2*f. Is 1629 not equal to u?
False
Let p(j) = -j**3 + 4*j**2 + 7*j - 7. Let u be p(5). Let w(n) = -8 - n - 2*n**3 + 5*n**2 + 2*n**2 + u*n**3. Let s be w(-7). Which is greater: s or 1/3?
1/3
Suppose -2*g - 9 - 1 = 0, 3*n + 1 = g. Let b be 3 + 3 - (-138)/(-20). Which is bigger: b or n?
b
Let h be 10/(-3) + -5*4/(-60). Let r = -2 + 35. Let k be (-2)/(-2) - r/9. Is k <= h?
False
Let w(k) = k**2 - 62*k + 432. Let n be w(8). Is 1/1105 at most as big as n?
False
Let q = 9 + -13. Let j = 0 + q. Let m = -6 - j. Is 0 smaller than m?
False
Suppose 0*n = -3*n + 66. Let p = -1076 + 1001. Let s be 2/(-6) - n/p. Is s != 0?
True
Suppose 2*l = 4*q + 28, -4*q + q - 26 = -4*l. Suppose -s - 82*x - 18 = -80*x, 3*s = -4*x - 44. Which is smaller: s or q?
s
Suppose 0 = k + 2 - 8. Let p be (-130)/(-78) + -4*3/(-9). Is k bigger than p?
True
Let t be (13/(-26))/(-1 - 35/2). Is t >= 0?
True
Suppose 0 = 3*i - i - 4. Suppose -z - i*z = -12.
|
{
"pile_set_name": "DM Mathematics"
}
|
multiple of 180606 and 80593?
14990298
What is the least common multiple of 4183830 and 108?
25102980
What is the least common multiple of 597870 and 4095?
597870
What is the lowest common multiple of 4880 and 1104?
336720
Calculate the least common multiple of 187 and 21964.
241604
What is the lowest common multiple of 246264 and 123132?
246264
Find the common denominator of -11/6588 and 17/108.
6588
Find the common denominator of 38/35 and 69/6310.
44170
Calculate the smallest common multiple of 10 and 43676.
218380
What is the least common multiple of 2704 and 8424?
219024
What is the lowest common multiple of 78897 and 40222?
2051322
Find the common denominator of -17/91 and 25/115947.
811629
Calculate the common denominator of 75/13454 and 11/248.
53816
Calculate the common denominator of 27/857 and -3/9427.
9427
Calculate the common denominator of 101/9078 and 197/15300.
1361700
What is the least common multiple of 84 and 269118?
3767652
Calculate the common denominator of 41/4803 and -13/51232.
153696
What is the common denominator of 47/16842 and -59/6416?
134736
What is the common denominator of -29/14 and 41/59810?
418670
What is the common denominator of 25/1035063 and -139/36318?
2070126
Calculate the lowest common multiple of 380 and 8056.
40280
What is the common denominator of -43/1392 and -115/1728?
50112
What is the common denominator of -26/25 and 81/9620?
48100
Calculate the smallest common multiple of 801940 and 100.
4009700
Calculate the common denominator of 85/4 and 107/863252.
863252
What is the lowest common multiple of 585 and 99?
6435
Calculate the least common multiple of 152 and 26828.
53656
What is the least common multiple of 66 and 13992?
13992
What is the least common multiple of 32088 and 382?
32088
Find the common denominator of 71/477246 and 83/260316.
2863476
Calculate the least common multiple of 83619 and 46455.
418095
What is the least common multiple of 20200 and 101000?
101000
What is the least common multiple of 26460 and 2520?
52920
Calculate the common denominator of 11/33383 and -33/133.
33383
Calculate the least common multiple of 374 and 3927.
7854
Calculate the common denominator of -52/8361 and -2/3.
8361
Calculate the common denominator of -161/120870 and 58/45.
120870
Calculate the lowest common multiple of 48240 and 35.
337680
What is the common denominator of -101/180 and -41/38448?
192240
Find the common denominator of 67/171 and 157/304380.
304380
Calculate the least common multiple of 20 and 215250.
430500
What is the lowest common multiple of 39 and 1391130?
1391130
What is the lowest common multiple of 211374 and 36?
422748
What is the lowest common multiple of 26650 and 1025?
26650
What is the lowest common multiple of 1121022 and 18228?
2242044
What is the common denominator of 89/4 and -47/5942?
11884
What is the least common multiple of 15544 and 106?
823832
Find the common denominator of -5/89 and 99/2426.
215914
Calculate the least common multiple of 3144 and 1572.
3144
What is the common denominator of 121/7500 and 133/132?
82500
Calculate the least common multiple of 177 and 1821.
107439
Calculate the common denominator of -101/714 and 149/144228.
144228
What is the least common multiple of 45 and 167645?
1508805
What is the common denominator of -65/302092 and 9/21578?
302092
Calculate the least common multiple of 37355 and 6989.
1083295
Calculate the smallest common multiple of 6625 and 7950.
39750
What is the least common multiple of 14733 and 510744?
1532232
Calculate the smallest common multiple of 1773 and 1576.
14184
Calculate the common denominator of -125/8442 and 45/518.
312354
Calculate the least common multiple of 367856 and 183928.
367856
Calculate the common denominator of -145/6606 and 77/180.
66060
Calculate the common denominator of -18/127897 and -15/127897.
127897
Calculate the common denominator of -79/480 and -79/7740.
61920
Find the common denominator of 85/11352 and 19/616.
79464
What is the common denominator of 5/42 and -10/23877?
47754
Find the common denominator of -79/8 and 97/23612.
47224
What is the least common multiple of 3240 and 506088?
2530440
Calculate the common denominator of -19/115 and -37/43120.
991760
Calculate the common denominator of -5/2532 and -31/1400.
886200
Find the common denominator of -17/3700 and -67/55500.
55500
What is the lowest common multiple of 120 and 320?
960
Calculate the common denominator of -89/3850 and 53/22715.
227150
Calculate the common denominator of 161/439350 and -61/15150.
439350
Calculate the least common multiple of 18000 and 20.
18000
Find the common denominator of -125/1469976 and -11/322.
10289832
Calculate the common denominator of -157/12096 and 67/1296.
36288
Calculate the common denominator of 34/1441 and 25/12838.
141218
Find the common denominator of 1/915 and 91/17385.
17385
What is the least common multiple of 45 and 8640?
8640
What is the least common multiple of 7280 and 1428?
371280
Find the common denominator of -91/1868 and 85/934.
1868
Calculate the least common multiple of 1095 and 90.
6570
Calculate the common denominator of 81/11368 and -65/196.
11368
Calculate the lowest common multiple of 952353 and 6.
1904706
Find the common denominator of 37/4960 and -109/767312.
7673120
Calculate the common denominator of 17/59256 and 53/18106.
651816
What is the common denominator of 16/3661685 and -79/50506?
7323370
What is the common denominator of 21/17966 and -145/107796?
107796
What is the smallest common multiple of 17484 and 13764?
646908
What is the common denominator of 39/176 and -89/584?
12848
Calculate the lowest common multiple of 916043 and 2653.
6412301
Calculate the smallest common multiple of 624 and 12.
624
What is the common denominator of 47/3976 and 151/125244?
250488
Calculate the common denominator of 97/243832 and 11/14.
1706824
Find the common denominator of 21/279268 and -83/25388.
279268
Calculate the least common multiple of 30642 and 91926.
91926
Calculate the least common multiple of 1356 and 33900.
33900
Find the common denominator of -107/9636 and -9/886.
4268748
What is the common denominator of 73/1056 and 23/29787?
10485024
Calculate the smallest common multiple of 1860 and 4836.
24180
What is the lowest common multiple of 850 and 5015?
50150
Find the common denominator of 43/2624 and 31/8.
2624
Calculate the lowest common multiple of 30600 and 4896.
122400
Find the common denominator of -199/13860 and 119/330.
13860
What is the common denominator of -25/77742 and -17/2468?
155484
Calculate the lowest common multiple of 16161 and 1470.
7918890
Calculate the common denominator of 37/4536 and -125/2592.
18144
What is the least common multiple of 6420 and 8025?
32100
What is the least common multiple of 65172 and 22?
716892
Find the common denominator of 25/1309 and 29/1309.
1309
Calculate the common denominator of 5/21056 and -151/31584.
63168
What is the common denominator of 58/28345 and 22/5?
28345
What is the smallest common multiple of 823 and 21?
17283
Calculate the least common multiple of 1287 and 585.
6435
Calculate the common denominator of -113/20 and 73/36644.
183220
What is the least common multiple of 15 and 63?
315
What is the smallest common multiple of 7313 and 2575?
182825
Calculate the common denominator of -27/813320 and 77/32.
3253280
Find the common denominator of -89/168 and 7/26256.
183792
Find the common denominator of -49/37034 and -27/59.
2185006
Calculate the least common multiple of 29288 and 20.
146440
Calculate the common denominator of -79/611134 and -123/20.
6111340
What is the lowest common multiple of 10634 and 23816?
9740744
Calculate the smallest common multiple of 1442 and 33887.
67774
Calculate the smallest common multiple of 60550 and 2100.
363300
What is the smallest common multiple of 26 and 205703?
5348278
What is the lowest common multiple of 175 and 14935?
522725
What is the common denominator of 109/235940 and -43/35391?
707820
Calculate the common denominator of -151/33240 and 157/93072.
465360
What is the smallest common multiple of 1449 and 20907?
146349
Find the common denominator of 15/48587 and -11/17668.
194348
Find the common denominator of -38/1375 and 27/32000.
352000
Calculate the common denominator o
|
{
"pile_set_name": "DM Mathematics"
}
|
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