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stringlengths 270
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dict |
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is a rounded to 5 dps?
0
Let k = -14.7 + 10. Let g = k - -4.70000066. What is g rounded to 7 dps?
0.0000007
Let b = -41.343 + 40.8. Let a = b - 0.077. Round a to 1 decimal place.
-0.6
Let m(d) = -6441*d + 54. Let s be m(-6). What is s rounded to the nearest 1000?
39000
Let r = -343.8 + 188. Let g = 175 + r. Round g to 0 dps.
19
Let b(a) = -6667*a**3 + 9*a**2 - 6*a + 6. Let c(k) = -k**2 - 1. Let u(p) = -b(p) - 6*c(p). Let s be u(6). Round s to the nearest one hundred thousand.
1400000
Let f = 157 + -157.000106. Round f to 5 decimal places.
-0.00011
Let t = -1605001 + 1605001.06000002. Let r = -6 - -6.06. Let s = t - r. What is s rounded to seven dps?
0
Let b = -264.3 - -276. Round b to the nearest integer.
12
Let m = 0 - -10. Let d = -16.6 + m. What is d rounded to the nearest integer?
-7
Let k = -309.23719724 + 465.23719661. Let c = -155.678 + -0.322. Let u = c + k. What is u rounded to 7 dps?
-0.0000006
Suppose -9*p = 366 - 1077. What is p rounded to the nearest 10?
80
Let j = 3 - -2. Suppose -416 = j*i + 1034. Round i to the nearest one hundred.
-300
Let x = -1.11000034 - -1.11. What is x rounded to seven decimal places?
-0.0000003
Suppose -y = -14 - 4. Let q be (45/(-4))/(y/(-32160)). Round q to the nearest 1000.
20000
Let q = 16465.7 + -16458.6993. Let c = 7 - q. Round c to 4 dps.
-0.0007
Let c be (-28)/5 + 2/(-5). Let u(k) = 9*k - 4. Let a be u(c). Round a to the nearest ten.
-60
Suppose 2*b - 269999870 = -3*b. Suppose -2*n = 4*g + 53999978, -2*n = -5*g + g - b. Let d be (-2)/(-3) - g/9. Round d to the nearest one million.
2000000
Let k = -182907 - -349145. Let m = -114238 + k. Round m to the nearest 10000.
50000
Let f(j) = 15001*j - 1. Let i be f(1). What is i rounded to the nearest ten thousand?
20000
Let v = 0.59 - 0.5873. What is v rounded to three dps?
0.003
Let p = -1.332 - -0.112. What is p rounded to one dp?
-1.2
Let v = -0.19 - -0.57. Let x = v + -0.379901. Round x to 5 decimal places.
0.0001
Let n = 64.268 - 82.2732. Let m = n - -18. Round m to three decimal places.
-0.005
Let u = 0.288 + -0.4. Let v = -0.09 - u. Let c = v - 5.322. What is c rounded to 0 decimal places?
-5
Let p = -0.099999855 + 0.1. Round p to 7 dps.
0.0000001
Let k = -1 - -1.08. Let q = 3.92 + k. Let x = q + -5.9. What is x rounded to the nearest integer?
-2
Let s(b) = -b**3 - 9*b**2 + 3*b - 5. Let y be s(-11). What is y rounded to the nearest ten?
200
Let b = 0.1 + -2.7. What is b rounded to 0 dps?
-3
Suppose -6*m = -m - 25. Suppose 7249 = 5*w + i, w - m*i + 1445 = 2*w. Round w to the nearest 100.
1500
Let n = 20 - 12. Let j = -7 - n. Let m = 14.9956 + j. What is m rounded to 3 decimal places?
-0.004
Let l = -47.921 - -48. Let c = 33.5 - 33.677. Let d = c + l. Round d to 2 dps.
-0.1
Let r = -11.628 + 6.62. Let o = -5 - r. What is o rounded to two dps?
0.01
Suppose 0 = 4*f - 5*k - 44 - 51, 0 = -3*f - 5*k + 115. Let g = -30 + f. What is g rounded to 6 decimal places?
0
Suppose 0 = 22*f - 26*f - 3520000. What is f rounded to the nearest one hundred thousand?
-900000
Let k = 164220.7000002 - 164221. Let r = k + 0.3. What is r rounded to six dps?
0
Suppose 19*j + 270773412 = -18026588. What is j rounded to the nearest one million?
-15000000
Let y = 28.8313 - 25.83. Let j = -2.96 - 0.04. Let a = y + j. What is a rounded to 4 decimal places?
0.0013
Let k(v) = -9*v**2 + 8*v - 2. Let o be k(5). Round o to the nearest ten.
-190
Let t(l) = 381481*l**3 + l**2 + l + 1. Let x be t(3). What is x rounded to the nearest 1000000?
10000000
Let o = -4.45 - -3.1. Round o to one decimal place.
-1.4
Suppose 0*t + 3 = t. Suppose 0 = -j - 2*i + 29990, t*j - 2*i - 2619 - 87391 = 0. Round j to the nearest ten thousand.
30000
Let k = -0.13 + 0.130008. Round k to five decimal places.
0.00001
Let g = 1.000016 - 1. Let n = g + 0. Round n to five decimal places.
0.00002
Let v = -9.1 + 12. Let f = v + -2.68. Round f to 1 decimal place.
0.2
Let j = 13.87977 + -12.8817. Let d = j + 0.401826. Let m = 1.4 - d. What is m rounded to 5 dps?
0.0001
Let x = 25277107.0000013 - 25277105. Let l = 2 - x. What is l rounded to 6 decimal places?
-0.000001
Let n = 74 + -80.8. Let s = n + 6.8086. What is s rounded to 3 dps?
0.009
Let d = -476.193 + 476. Round d to two dps.
-0.19
Let o = 0.8 + -67.8. Let c = -46 - o. Let n = -20.99999991 + c. What is n rounded to seven dps?
0.0000001
Let p = 0.0704 - 0.07. What is p rounded to three dps?
0
Let h = 0.002 - 239.002. Let u = h - -294.8. Let x = u - 51. Round x to 0 dps.
5
Suppose -c = -5*c + 8. Suppose -4*h - 15 = -3, -5*v + 29994 = c*h. Round v to the nearest ten thousand.
10000
Let d = 8.05151 - 8.06. Round d to three decimal places.
-0.008
Let a(b) = 63892*b**2 - b - 2. Let s(x) = 127785*x**2 - x - 5. Let o(p) = 9*a(p) - 4*s(p). Let y be o(-6). What is y rounded to the nearest 1000000?
2000000
Let x = -67809 - -44909. Round x to the nearest one thousand.
-23000
Let b = -3771 + 3754.87. Let v = 15.5 + b. Let w = -0.748 - v. What is w rounded to 2 dps?
-0.12
Suppose 0*w - 5*w = -20. Suppose -l + 22 + w = 0. Round l to the nearest ten.
30
Let t(d) = 171*d + 5. Suppose 5*p - 5*m - 30 = 0, 5*p + m - 14 = 2*p. Let h be t(p). Round h to the nearest one hundred.
900
Let l = 0 + 1. Let c = l - 1.7. Let d = c - -0.699952. Round d to 5 dps.
-0.00005
Suppose 0 = u - 2*o + 3*o + 99999, 5*u - 2*o + 500002 = 0. What is u rounded to the nearest ten thousand?
-100000
Let b = 18.09 + -18. Let g = 0.03 - b. Round g to two decimal places.
-0.06
Let g = 212.416 - 0.416. Let f = g + -188.2. Let w = 33 - f. Round w to the nearest integer.
9
Let z be (6/5)/((-9)/(-120)). Suppose 0 = 3*v - 5*v - 5*j - 6, -v + 4*j + 23 = 0. Let c = z - v. What is c rounded to 0 decimal places?
9
Let m = 20.076 - -0.024. Let h = -21.25 + 0.25. Let s = m + h. What is s rounded to the nearest integer?
-1
Let h = -0.06 + 0. Let l = 0.060009 + h. Round l to six decimal places.
0.000009
Let g = -52.58512687 - -93.5851267. Let q = g + -41. Round q to seven decimal places.
-0.0000002
Let m = -4.000081 + 4. Round m to five dps.
-0.00008
Suppose 1241 = -2*c - r, 2*r - 444 = -3*c - 2306. What is c rounded to the nearest one hundred?
-600
Let o = -355 + 354.99809. Round o to 4 decimal places.
-0.0019
Let v(t) = 434*t**2 + 4*t. Let d be v(4). Let b be (-1 + 0)*0 - d. Let r = b - -2560. What is r rounded to the nearest 1000?
-4000
Let r = -5 + 4. Let t = -8 + r. Let h be (-9658)/(-6) + (-3)/t. What is h rounded to the nearest one hundred?
1600
Let y = -1490.124 + 1476. Let q = y + 14. Let r = q + 0.1239921. Round r to 6 dps.
-0.000008
Let q = 2.6 - -10.6. Round q to the nearest integer.
13
Let w = 6 - 5.9955. Round w to 3 decimal places.
0.005
Let g(s) = -45*s**2 - 5*s - 8. Let q be g(-6). Let v be (q + -2)*(-6250)/2. Round v to the nearest 1000000.
5000000
Let g(n) = 17*n**2 + n - 6. Let v be -2*((3 - -1) + -1). Let f be g(v). What is f rounded to the nearest 100?
600
Let i(d) be the first derivative of -1899999*d**2/2 - d - 5. Let n be i(1). Round n to the nearest 1000000.
-2000000
Let f = 110.978 + 0.022. Let o = f + -188. Let k = 78.55 + o. Round k to 1 dp.
1.6
Let k = 0.48971 - 0.49. Round k to 4 decimal places.
-0.0003
Let i = 5637 - 9767. What is i rounded to the nearest 1000?
-4000
Let x = -210.99893 + 211. Round x to 4 decimal places.
0.0011
Suppose p = 5*p + 48. Let z be p*2175/(-9)*-1. What is z rounded to the nearest one thousand?
-3000
Let g = -0.74 - -3.29. Let t = 0.05 + g. What is t rounded to 0 dps?
3
Let t = 0.5 + -0.445. Let s = 9.07 + -9. Let i = t - s. What is i rounded to 2 decimal places?
-0.02
Let v = -0.02200045 + 0.022. Round v to 7 decimal places.
-0.0000005
Let x = -427281 - -427260.0181. Let f = x + 21. What is f rounded to three dps?
0.018
Let m = -1.97 + 2.0296. What is m rounded to two dps?
0.06
Let k = -0.34 - -0.34000152. What is k rounded to 7 decimal places?
0.0000015
Let i = 1.156 - -0.25. Let x = -2.2048 + i. Let r = 0.8 + x. What is r rounded to 3 dps?
0.001
Let w = -5839155 - -5839208.00033. Let a = 53 - w. Round a to 4 decimal places.
-0.0003
Let f = 1645.117 - 1644. Let o = 0.093 + f. What is o rounded to 1 decimal place?
1.2
Let a be 1/2 - (-2)/(-4). Suppose a = 2*l + 2*m - 4*m + 2343854, -5*m = 5*l + 5859625. Let p = l + 221926. Round p to the nearest 100000.
-1000000 | {
"pile_set_name": "DM Mathematics"
} |
f sequence ll?
1/40
What is prob of sequence sssk when four letters picked without replacement from ssksssks?
1/7
Two letters picked without replacement from {d: 2, r: 1, b: 1}. Give prob of sequence rd.
1/6
Three letters picked without replacement from {d: 1, x: 12, q: 4, k: 3}. What is prob of sequence kdq?
1/570
What is prob of sequence tt when two letters picked without replacement from {t: 2, x: 3}?
1/10
Four letters picked without replacement from {n: 6, e: 8, k: 1}. What is prob of sequence eknk?
0
Four letters picked without replacement from ububbbubbbbubu. What is prob of sequence ubuu?
45/2002
Calculate prob of sequence bs when two letters picked without replacement from sssbssbssssb.
9/44
Two letters picked without replacement from {l: 1, f: 14, v: 2}. What is prob of sequence fv?
7/68
What is prob of sequence li when two letters picked without replacement from {i: 9, l: 9}?
9/34
What is prob of sequence eejh when four letters picked without replacement from {h: 1, e: 2, j: 4}?
1/105
Calculate prob of sequence oyof when four letters picked without replacement from bybobobbofo.
1/660
Two letters picked without replacement from iiiii. What is prob of sequence ii?
1
What is prob of sequence vv when two letters picked without replacement from vzvv?
1/2
Three letters picked without replacement from {f: 2, c: 1, d: 3, b: 1}. Give prob of sequence fbf.
1/105
Calculate prob of sequence yuwu when four letters picked without replacement from {w: 3, u: 3, y: 1, r: 5}.
1/660
Three letters picked without replacement from {f: 1, s: 1, h: 1, v: 1, g: 3}. Give prob of sequence ghv.
1/70
Three letters picked without replacement from rxkxrrxrk. What is prob of sequence kkr?
1/63
Two letters picked without replacement from ffiffifmfffffiff. Give prob of sequence im.
1/80
What is prob of sequence iuid when four letters picked without replacement from {d: 2, i: 3, u: 3}?
3/140
Calculate prob of sequence zz when two letters picked without replacement from aaazaaazaaa.
1/55
Three letters picked without replacement from {k: 5, e: 6, h: 4}. What is prob of sequence ekh?
4/91
Four letters picked without replacement from uusssuu. What is prob of sequence usus?
3/35
Three letters picked without replacement from tottttttottott. What is prob of sequence ooo?
1/364
Three letters picked without replacement from {z: 11, y: 3}. What is prob of sequence yyy?
1/364
Calculate prob of sequence ccnn when four letters picked without replacement from csnnnscscccsnccn.
1/52
Two letters picked without replacement from {d: 2, e: 1, y: 4}. What is prob of sequence ey?
2/21
Four letters picked without replacement from khhkkkhkkkkkkrhhkhk. Give prob of sequence kkrh.
11/1292
Three letters picked without replacement from qtxjjhxjjxttxx. What is prob of sequence qhx?
5/2184
Calculate prob of sequence kku when three letters picked without replacement from txxktxxtutxktttxtt.
1/2448
Two letters picked without replacement from {s: 5}. What is prob of sequence ss?
1
Three letters picked without replacement from {r: 6, b: 2}. Give prob of sequence rbb.
1/28
Calculate prob of sequence psrq when four letters picked without replacement from {q: 2, s: 1, b: 4, p: 1, r: 1}.
1/1512
Two letters picked without replacement from {j: 1, y: 19}. What is prob of sequence yy?
9/10
Three letters picked without replacement from {l: 1, u: 2, v: 1}. What is prob of sequence vul?
1/12
Two letters picked without replacement from vvvvvv. Give prob of sequence vv.
1
Calculate prob of sequence oooo when four letters picked without replacement from {o: 10}.
1
Three letters picked without replacement from {e: 1, l: 2, j: 4}. Give prob of sequence jej.
2/35
What is prob of sequence fm when two letters picked without replacement from ttetumtufett?
1/132
What is prob of sequence zob when three letters picked without replacement from obz?
1/6
Four letters picked without replacement from hhaavhahavavhchaaa. Give prob of sequence aavh.
7/510
Four letters picked without replacement from dfyfnsesdfnfdfn. What is prob of sequence ydef?
1/2184
What is prob of sequence lk when two letters picked without replacement from {w: 6, k: 6, l: 3}?
3/35
Four letters picked without replacement from {o: 1, p: 2, r: 1, w: 1}. Give prob of sequence ropw.
1/60
Three letters picked without replacement from eyyyzyyyzyyyyy. Give prob of sequence yze.
11/1092
Calculate prob of sequence nyyy when four letters picked without replacement from {n: 3, y: 3}.
1/20
Calculate prob of sequence twt when three letters picked without replacement from {a: 1, b: 2, w: 4, t: 2}.
1/63
Two letters picked without replacement from {k: 7, c: 1, r: 5, m: 1, d: 1}. What is prob of sequence mc?
1/210
What is prob of sequence hr when two letters picked without replacement from xjxixxiahixjr?
1/156
Calculate prob of sequence jy when two letters picked without replacement from {y: 1, j: 1, s: 1}.
1/6
What is prob of sequence xx when two letters picked without replacement from fxfffxffffxffffxff?
2/51
Three letters picked without replacement from {e: 5, h: 9}. What is prob of sequence ehh?
15/91
Two letters picked without replacement from {s: 3, z: 13}. What is prob of sequence ss?
1/40
What is prob of sequence wyyw when four letters picked without replacement from {y: 2, e: 3, w: 3}?
1/140
Calculate prob of sequence ddd when three letters picked without replacement from {d: 9}.
1
Three letters picked without replacement from {s: 1, h: 1, q: 2, n: 3, k: 8, c: 1}. What is prob of sequence hck?
1/420
Calculate prob of sequence ptp when three letters picked without replacement from ntpnpnnpppppt.
7/143
Calculate prob of sequence tqti when four letters picked without replacement from tqqqwqdrdiqitqqr.
1/1560
Calculate prob of sequence xee when three letters picked without replacement from ekkvkexemvkev.
1/143
Four letters picked without replacement from gggaaggggggg. Give prob of sequence agag.
1/66
Four letters picked without replacement from {r: 1, u: 5, h: 5, d: 1, m: 3}. Give prob of sequence huum.
5/546
Two letters picked without replacement from {l: 1, j: 1, n: 1, o: 2, q: 1, s: 1}. What is prob of sequence nq?
1/42
Calculate prob of sequence aa when two letters picked without replacement from asbbaabsb.
1/12
Calculate prob of sequence bpb when three letters picked without replacement from bclgclpclhbhcpb.
2/455
Four letters picked without replacement from xzzbbtbtbzzzzt. What is prob of sequence xttz?
3/2002
What is prob of sequence gkgk when four letters picked without replacement from {j: 1, p: 1, k: 2, g: 4}?
1/70
Three letters picked without replacement from {u: 3, q: 1, h: 2, c: 3, x: 2, p: 3}. What is prob of sequence hhx?
1/546
What is prob of sequence ela when three letters picked without replacement from deaadddala?
1/180
What is prob of sequence zziz when four letters picked without replacement from iizziiiziiizzi?
45/2002
Two letters picked without replacement from {x: 6, y: 2, v: 9}. Give prob of sequence yy.
1/136
Three letters picked without replacement from {v: 2, i: 6, p: 2, z: 9}. Give prob of sequence vzv.
1/323
What is prob of sequence xxqq when four letters picked without replacement from qqqqqqqqxqqqqxxxqx?
13/306
Four letters picked without replacement from {v: 3, o: 1, w: 5, i: 6}. What is prob of sequence ivvw?
1/182
Four letters picked without replacement from {q: 6, m: 3, z: 6}. Give prob of sequence mzqq.
3/182
What is prob of sequence ffii when four letters picked without replacement from {f: 2, t: 14, i: 1}?
0
What is prob of sequence zj when two letters picked without replacement from {z: 1, q: 1, d: 4, j: 5}?
1/22
Two letters picked without replacement from ewxoowxzoooxf. What is prob of sequence ze?
1/156
Two letters picked without replacement from ttcthtahehhtchhh. Give prob of sequence ha.
7/240
What is prob of sequence wwf when three letters picked without replacement from {h: 7, f: 4, a: 1, w: 3, x: 4, g: 1}?
1/285
Three letters picked without replacement from qqqwqqhqhwrw. What is prob of sequence whr?
1/220
Four letters picked without replacement from {b: 7, u: 12}. What is prob of sequence uubb?
77/1292
Two letters picked without replacement from qqqcaseacaaqacqe. Give prob of sequence ca.
1/16
Two letters picked witho | {
"pile_set_name": "DM Mathematics"
} |
83834 = -3*w - 3*s + 3283843, -4*s = -w + 13 for w.
5
Solve -f - f + 61880*c - 102 = 61890*c, -2*c = -4*f + 38 for f.
4
Solve 27*p - 781 = -5*z - 1047, 5*z = 3*p - 176 for z.
-37
Solve -37*a - 201 + 145 = k, -a - 7*k = 2*a + 136 for a.
-1
Solve -9 = 286*t - 283*t - 26*y, 4*t = -5*y - 12 for t.
-3
Solve -7*a + 66 = -4*k - 10*a, 6*k + 0*k = -4*a - 88 for k.
0
Solve 2*k + 30 = -2*l, 5*l - 6722 = -6737 for k.
-12
Solve 4*v = -5*h - 68 + 89, 3*v = -16*h - v + 76 for h.
5
Solve 46*p - 29 = 47*p + 5*l, -25618*p - 3*l - 3 = -25621*p for p.
-4
Solve 3*y + 5*k - 318 = -346, -172*k = 344 for y.
-6
Solve -4*p - 2*z + 1558 = 1478, 180 = 9*p + 7*z for p.
20
Solve 0 = 3*d + l, -5*l + 36 = 38289*d - 38292*d for d.
-2
Solve 2*f = 4*g + 8, 6*g = f + 15535 - 15543 for g.
-1
Solve -u - 1 - 15 + 0 = 6*l, -1525*l + 1526*l + 4*u = -64 for l.
0
Solve 3*z + h - 61 = -65, h - 341 = 30*z + 82*z for z.
-3
Solve -5*u - 5*i - 75 = 0, -13*i - 14*i + 41*i = 8*i - 90 for u.
0
Solve 3*i - 6*i + 0 = 4*s - 47, 5*s = 2*i + 83303 - 83273 for s.
8
Solve 0 = 5*t + 5*f + 24 - 79, -3*t = -4*f + 23 for t.
3
Solve -5*i - 120 = 2*b, -98 + 178 = 6*b - 5*i for b.
-5
Solve 482*i = d + 459*i - 25, 13 = d - 11*i for d.
2
Solve -16*f - 19*f = 4*z - 30*f - 31, -5*z + 5*f + 95 = 0 for z.
14
Solve -i - 16 = 7*y - 66, -33*y = 4*i + 4*y - 263 for i.
1
Solve r = 4*r - 4*d + 97 - 5, 12*r + 4*d - 754 = -1142 for r.
-32
Solve -232*y = -200*y + 8*u - 3*u + 773, -115 = 5*y - 5*u for y.
-24
Solve -105 = 5*b + 30*p, -5*b + 10*b = -0*b + 5*p + 5505 - 5575 for b.
-15
Solve -2*q + 3 = o + 3*q, 3*o + 3*q = 6*q - 17*q - 111*q + 119 for o.
-2
Solve 320 - 314 = g, 29 = -5*f + 4*g for f.
-1
Solve -4*r - 21*x + 47*x = -2*r + 3*r + 167, -4*r + x - 94 = -0*x for r.
-23
Solve 121308*y - 121313*y + 3*z = -49, -4*z = 4*y + 12 for y.
5
Solve 0 = -4307*r + 4308*r + b - 3, -7*r + 1 + 9 = -4*b for r.
2
Solve 3*n + 11*v - 294 = 0, -n + 12186 = 2*v + 12133 for n.
-1
Solve -223 = 7*i - 5*q + 3*q, 12*q - 59 = 2*i + 13*q for i.
-31
Solve -v = j - 5, -3*v = -11985*j + 11992*j - 11 for v.
6
Solve -758 = -3*x + x + 2*d - 750, -40*d = -x - 46*d - 17 for x.
1
Solve -5*a = 844*v - 842*v + 20, -3*a + 4*a - 3*v = -4 for a.
-4
Solve 0 = -5*q - i + 51, 1991077*i - 24 = -2*q + 1991073*i for q.
10
Solve -7*a + 547 = 20221*s - 20223*s, 2*s + a = 85 for s.
3
Solve 3*d = -5*f + 851 - 1604 + 844, 2*d - 2*f - 50 = -0*f for d.
27
Solve -q + r = 1, 3*q - 39*r + 0 = -62*r + 20*r + 3 for q.
0
Solve 28 = -4*z + 2*r, 8634*z - 8638*z - 376*r = 784 for z.
-8
Solve 2 = 3*v - b + 19, 5*v - 3*b - 61 = 24*v for v.
-4
Solve 805*v - 801*v - 9*j = 2*j + 471, 2*v + 154 = -4*j for v.
5
Solve b + 4*q = 3, -14*b + 946*q = 945*q - 156 for b.
11
Solve -2*l = -4*g - 18, 40689*l - 5*g = 40693*l + 3 for l.
3
Solve 5*i = -2*k - 3*k, -664*i = 4*k - 335*i - 332*i - 7 for k.
1
Solve 2*c = -4*v + 3*v + 6, 5*v + 489 = -3*c + 498 for v.
0
Solve -w + 1487 - 1533 = -2*w - 2*f + 4*f, -4*w - 46 = 2*f for w.
0
Solve 3*h - 8*h + 1146 = 76*m - 14*m - 356*m, h = -2*m - 14 for m.
-4
Solve 0 = -4*d + 33 - 1, 46*r - 29*r + 3*d = 22*r - 0*d + 9 for r.
3
Solve 0 = 4*d, 5*k - d = k + k + 4*d - 6*d + 108 for k.
36
Solve 3*v = -4*h + 9*v - v - 7 + 24, -h = 104*v + 101 for h.
3
Solve -4*r - 232 = -12*d, -3*d + 2*d + 2*r - 36 = -3*d for d.
19
Solve 2*k + 3263442*j = 3263390*j - 240, 0 = -4*j - 20 for k.
10
Solve 0 = 4*u - 0*u + m - 5 - 14, -32*u + 137 = 3*m for u.
4
Solve -4*k = -2980*m + 2975*m + 115, m - 39 = 4*k for m.
19
Solve 3*d = -12*b + 15*b + 51, 0*b + 28*b + 4*d + 532 = -18*b for b.
-12
Solve -5*i = -5*v - 60, 3*v - 9276900*i + 20 = -2*v - 9276903*i for v.
-7
Solve 0*m - 2*m + 4 = 2*j, -5*m + j + 1484 - 1480 = 0 for m.
1
Solve 3*v - 38 = -8*z - 59, 2*v + 2*v + 5 - 9 = 0 for z.
-3
Solve -3*x + 2*p + 2396 = 2363, -31*p + 22 = 2*x for x.
11
Solve -4*w - 2*g = -2*g + 4*g + 28, w - 19*g + 22*g + 25 = 0 for w.
2
Solve 5*t + 137100 = 137125, b = 3*t - 28 for b.
-13
Solve 0 = -3*r + 22*v + 52*v - 506, -12*r + 8*r + 3 = -5*r + v for r.
4
Solve -39328*k = -39320*k + w - 37, -5*k + w = -28 for k.
5
Solve -79471*x + 2*y + 4 = -79475*x, 2*y - 2 = -2*x for x.
-3
Solve -4*o + 14*b - 55 = 37, o - 64*b + 18 + 9 = -60*b for o.
5
Solve -5*l = 3*p, 210*p - 15 = 210*p + 5*l for p.
5
Solve 4*z + a = -201, -z - 24 = -3729*a + 3727*a + 15 for z.
-49
Solve 5*n + q + 76 = 4*q + 157, -12*n = 4*q - 52 - 120 for n.
15
Solve -14*v - 420 = 1711*k - 1709*k, 15 = 4*k - 3*v - 75 for k.
0
Solve 3*p = -28*j + 196, -9*j + 14*j - 6*j + 4*p = p - 7 for j.
7
Solve 0*u - 4*u - h = -47, 4*u - 47*h - 53 = -42*h for u.
12
Solve -2*k - 755 = -3*m - 565, m - 10 = -10*k for k.
-5
Solve -20*g + 4*t + 26605 = 26513, -4 = 4*g + 2*t for g.
3
Solve -25 = 3*r - n, -80*r + 88*r + 35 = -5*n - 70 for r.
-10
Solve -3*q + 116*z - 1499 = 0, z + 52158 - 52162 = 3*q for q.
3
Solve 25*q - 28 = 29*q, 399*h - 403*h - 36 = 4*q for h.
-2
Solve -44*p + 48*p + 1696 = t + 1671, 0 = 4*t - 3*p - 35 for t.
5
Solve l = 4, -4*g - 21*l - 4226 = -4354 for g.
11
Solve -12 = 2*g + 3*f, 17 = -6*f - 5 + 4 - 6 for g.
0
Solve -180*c + 7*d = -110*c - 74*c + 4*d - 9, 0 = 2*c - 5*d - 15 for c.
0
Solve -61*o - 57*o - 113 = -33*o - 4*h, -22*o + h - 4 = -25*o for o.
-1
Solve -5*j + m = -0*m + 7*m + 16, -168*m + 166*m - 12 = 0 for j.
4
Solve -6*o + 60*o - 346 = 19*y, 3*y = -5*o - 0*o + 13 for y.
-4
Solve -144*t + 1734 = -2*f, -220*t - 211*t + 427*t + 2*f = -54 for t.
12
Solve 7*d - 4*w = 2*d + 3*d + 44, -5*w = -6*d + 3*d + 62 for d.
14
Solve 2*d = -y + 3, -15*d - 22*d - 539 = -38*d + 107*y for d.
4
Solve 5*k = -2*k - 3*x - 20, -50*k + 49*k - 2*x = -5 for k.
-5
Solve 0 = -2*p - 2*t - 68, 38*p + 16*t + 544 = 41*p for p.
0
Solve 0 = 11*o - 4*k - 13, -386207*k = -2*o - 386205*k - 4 for o.
3
Solve -5*w = 20, 0 = 375*z + 231*z + 5*w + 237 + 389 for z.
-1
Solve -2*n + 20 - 12 - 30 = 4*v - 0*v, -3*n + v = -2 for n.
-1
Solve 3261*d - 222 = -3*z + 3264*d, 0 = -5*z - 60*d + 370 for z.
74
Solve -34*s + 1847*z = 1831*z + 268, -6 = -s - 3*z for s.
-6
Solve 0 - 5 = k, -6*n - 3*n = -13*n - 9*k + 123 for n.
42
Solve 0 = i + 4*r - 27, -7*i + 0*r - 8 = -6*r - 61 for i.
11
Solve 5*b = 6*u + 355, -3*b - u - 43912 + 44125 = 0 for b.
71
Solve 0 = -3*k - 9*o - 27 + 153, -5*k = -o + 35 - 181 for k.
30
Solve 4*m - 12 = b, 125*b + 4 = 124*b + 5*m - 13 for b.
8
Solve -17*d + 4*d - 26 = -5*v - 11*d, 5*v + 8*d + 54 = 0 for v.
2
Solve -i - 20*a = 10*a - 35*a - 30, 0 = -i - a + 18 for i.
20
Solve 18*p - 15*p + 8*g - 1 = 10*g, 2*g = 5*p - 11 for p.
5
Solve -230 = o + 39*k, 1751*o + 2*k - 8 = 1746*o for o.
4
Solve -43*b + 4*g - 380 - 397 = 18*b, -12*b + 10*b - 2*g - 34 = 0 for b.
-13
Solve -4*d + 14 = 1005*y - 1003*y, 34*y = 7*d + 13 for y.
1
Solve -4*s = 5*r + 79, -9*s - 16*r = 637 - 369 for s.
4
Solve 5*k = -5, 437*k = -53*d + 432*k - 1224 for d.
-23
Solve f + 4*f - 7*f = 3*w - 6*f + 25, -368 + 356 = -5*w - f for w.
1
Solve 0 = -5*q + 51*g - 42, 0 = 3*q - 4*g - 31884 + 31856 for q.
12
Solve -4*h = -o + 99, 12*o - 6456*h + 6455*h - 13 = 0 for o.
-1
Solve 0 = -r - 5*p - 142, -155*p + 76*p - 72 = 5*r - 76*p for r.
3
Solve m = -2*y - 19, 5343*m + 5*y + 58 = 5344*m for m.
3
Solve -101222 = -5*y - z - 101239, 5*y - z + 3 = 0 for y.
-2
Solve 2*z + 4*l = -160, 6*z + 5*z - 3*l - 14 - 42 = 39 for z.
-2
Solve 0 = 50*j - 650, 2*t + 20*j + 11*j - 67 = 26*j for t.
1
Solve -4*y - 3*b + 10*b + 68 + 36 - 36 = 0, -4*b - 2 - 14 = 0 for y.
10
Solve 0 = 3*q - 118397 + 118229, -3*p + 295 = 5*q for p.
5
Solve 0 = 36*d + 58*t - 56*t - 104, 3*d - t - 32 = 0 for d.
4
Solve 4*w + 3*h = 3920 - 3895, -3*w = -2*h - 40 for w.
10
Solve -4*w + 3*y - 5 + 2 = 0, -w = -2*y - 5237 + 5234 for w.
-3
Solve d + 13 = 6*i, 5*d - 12*i - 32888 = -8*i - 32927 for d.
-7
Solve 2*p + 1 = -0*p + 5*a, -3 = -2*p - 86*a + 87*a for p.
2
Solve 28*j + 24 = -2*f - 6, -4*j = j + 4*f - 93 for j.
-3
Solve f + 2*f = -7*q + 3, -99*f + 96*f - 5*q + q - 6 = 0 for f.
-6
Solve 5*y + 3*d = -147 + 151, y + 34*d = 39*d + 12 for y.
2
Solve 8*j - j - 3*h = 85, -41*h + 42*h = -2*j - 37 for j.
-2
Solve 40*r - 20*d + 39*d = 73*r - 36*r + 14*d + 40, -5*d - 210 = -22*r for r.
10
Solve -4*h = -0*h - 4*j - 20, -21254*h + 42511*h - j - 11 = 21254*h for h.
3
Solve w + 4*f = 61, -339 = -4*w - 17477*f + 17480*f for w.
81
Solve -50611*m + 50606*m = -3*j + 37, -2*m - 9 - 2 = -5*j | {
"pile_set_name": "DM Mathematics"
} |
*x = -10*b + 20, 2*x - 10 = 128*b - 127*b + 4*x for b.
0
Solve 5*a - 29*x - 23*x - 31 = -53*x - 260, -2*a - 2*x = 90 for a.
-46
Solve 0 = -3*k - 2*k + 20, -16027*x + 16023*x + 40 = -15*k for x.
25
Solve -h - j + 25 = 2*h + 80, -2*j - 260 = 14*h + 2*j for h.
-20
Solve 5*i - 85 = -4*x + x - 150, 3*i - 4*x + 39 = 0 for i.
-13
Solve -5*l + 74 - 132 = 2*r - 69, -r + 5*l = 2 for r.
3
Solve 0 = 4*u - 1867*a + 1866*a - 47, -17*u = -a - 86 for u.
3
Solve 876 = 3*s + 5*v + 940, -96 = 4*s - 4*v for s.
-23
Solve -178672*r - 2*d = -178668*r, -r + 3*d = -4*r - 9 for r.
3
Solve 2324*j = 2323*j - 3*h + 14, -3*j - 218 = -56*h for j.
2
Solve -5*b - 65 = k, -122*b + 117*b + 40*k - 20 = 32*k for b.
-12
Solve -4*w - 8 = 2*p, -120*p - 447 = 5*w + 33 for p.
-4
Solve -74*p + 4*o + 420 = 0, 2*p + 7*o - 4*o + 2*o + 0*o - 42 = 0 for p.
6
Solve -7 = -w - 5*b + 5, -215*w - b = -201*w + 39 for w.
-3
Solve -7*z = 5*y - 52, 5*z - 34 = -2080*y + 2078*y for z.
6
Solve 57129*n - 57131*n - 3*w - 6 = w, 5*n + 38 = 13*w for n.
-5
Solve -5*y - h - 70 = 0, -2*h - 3191 + 2641 = 92*y for y.
-5
Solve 97 = -2*p + 117, 3*y - 484*p + 4849 = 0 for y.
-3
Solve -3*v + 0*v + 3*n - 30 = 0, 4*v + 0*n + 216 = 2*v + 30*n for v.
-3
Solve 5*c - 3*d + 106 + 9 = -30, 24*c - 10*d = -696 for c.
-29
Solve 5*t - 22*m + 160 = 14*m, 0 = 29*t - 32*t - 4*m + 32 for t.
4
Solve 0 = -z + r + 29, 6459*r = 2*z + 3226*r + 3238*r - 65 for z.
30
Solve 593765*s = 593763*s - 13*n + 85, -4*s = 3*n - 9 for s.
-3
Solve 0 = -3*f - 2*u + 11, 142*u - 63*u = -5*f - 79 + 400 for f.
1
Solve -3*t - 33 = 6*q + 81, 3*t - 37 = -1596*q + 1585*q - 236 for q.
-17
Solve -2*p - 178 = -3*j, -72*p + 137*p = 64*p - 17*j - 126 for p.
-92
Solve -42*w + 46*w + 265 = 7*l, -4*l = -0*w - 3*w - 11*l + 230 for w.
-5
Solve -v + 36*j = 40*j - 11, 5*v = 2*j + 2*j + 7 for v.
3
Solve 3*l = 5*m - 120, 0 = 6000*l - 5995*l - 5*m + 263 - 63 for l.
-40
Solve -12*m + 17*m + 1984 = m - 288*l, m = 3*m - 2*l - 30 for m.
8
Solve -8*s + o = 60, -4*o + 60 = -328234*s + 328238*s for s.
-5
Solve 2 = -5*c - 2*i, 18 = 1430*c - 1430*c + 2*i - 5*i for c.
2
Solve 1503*r - 404 = 1507*r - 6*a, 4*r + 5*a = -360 for r.
-95
Solve 6*u = -3*z + 159, 13*z = -4*u - 1443 + 1582 for u.
25
Solve -16*n + 8*n + 9*t + 3 = -6*n, -4*t + 12 = -2*n for n.
-12
Solve -3*f - f - v - 8 = 0, -13*f - 16 = -19*f + 2*v for f.
0
Solve 0*p - 5*p - 27*z - 22 = -24*z, z + 6 = -p for p.
-2
Solve -1056 = 29*u - 33*u + 37*p - 411, 3*u = p + 29 for u.
4
Solve -x - 81 + 125 = 4*t, -8*t + 88 = -3*x for x.
0
Solve 14*o - 286 = 5*w, -2*o + 83 = 45 for w.
-4
Solve h + 3*k = -2, -62 = 18484*h - 18489*h + 3*k for h.
10
Solve -98*m + 93*m + 30 = -5*o, 4*o + 14 = -m for m.
2
Solve -22*a + 10*a = n, -11*n - a = -6*n - 4*a for n.
0
Solve 3*p + 4*j + 63732 = 63827, -p - 2*j = -31 for p.
33
Solve -61 = -3*a + 4*u, -4*a + 3*u - 7 + 56 = -23 for a.
15
Solve 15 = -1169*n + 1166*n, 0 = 2*r - 3*n + 3 for r.
-9
Solve 35 + 34 = 5*x - 5*o + 49 - 20, 5*o + 76 = 11*x for x.
6
Solve 3*m - 44*n - 134 = 0, 402*m + 114*m + 8 = 516*m - 2*n for m.
-14
Solve -5*a - 23*m + 16 = 0, -184123*m = -a - 184126*m for a.
-6
Solve 42*d - f = -503, d + 3*f - 262 = -2*f - 279 for d.
-12
Solve 3*q + 3*t = 42, 12*t - 25 + 13 - 30 = -2*q - 3*q for q.
18
Solve 28*w = -0*w - w - 2*i + 68, 0 = w + 5*i - 27 for w.
2
Solve -5*g = 3*j - 16, -28*g - 2*j - 11 = 4 - 75 for g.
2
Solve 2*k + 20 = -4*w, -2*w + 45*k - 13 - 5 = 50*k for w.
-4
Solve -5*g - 5 = 0, 223*s + 10*g = 224*s + 17 for s.
-27
Solve 2*l - 52 = 5*h, 2*h + 127648 - 127628 = 0 for l.
1
Solve -6*h - 2*m + 12 = -4*h + m, -438*h - 11*m = -438*h for h.
6
Solve -119*m - 5*t = -121*m + 56, 2*m + 24 = -3*t - t + t for m.
3
Solve -b - 4*a = -15, 23032*a - 23027*a - 17 = -3*b for b.
-1
Solve d = -69*t - 0*d - 408, t - 19*d + 12 = 3*t - 15*d for t.
-6
Solve -21*w + 25*w + 172 = 10*t, 2*w + 40*t = 35*t + 74 for w.
-3
Solve -481*y + 5*u - 144 = -480*y, -8*u = 5*y - 204 for y.
-4
Solve -69672*f = -5*i - 69676*f + 37, 0 = -17*i + 2*f - 77 for i.
-3
Solve -369*w + 1118*w - 371*w - 5*j = 376*w - 27, -5*j = 5*w + 15 for w.
-6
Solve 0 = -r + 3*z + 42, 50*z = -3*r + 49*z + 116 for r.
39
Solve y - 4*s = -11, -2*y + 216021*s - 216007*s = 34 for y.
-3
Solve 0 = -18*y + 5*l + 21, -20*y + 25*y - 13 = -l for y.
2
Solve -4*f - 2*i = -16, 15*f = 17*f - 8*f + 17*i + 44*i - 1128 for f.
-5
Solve -397*c = 4*r - 392*c + 153, -r = -2*c - 69 for r.
3
Solve -2*o - 12 = -2*j, 16*j - 8*j - o = 9 + 60 for j.
9
Solve 5*x - 71*h = 1040, 125*x - 124*x = -5*h - 80 for x.
-5
Solve 4*w - 4029*g + 120 = -4025*g, 0 = 2*w - 3*g + 89 for w.
-1
Solve -u + 27*p = 2*p + 23*p + 38, -37*u - 6*p = 1406 for u.
-38
Solve 5*b + 93 = 5*r + 68, 33*b + 8*b - 68 = 2*r for r.
7
Solve -45*y + 167 = -41*y + 5*t, -3*t = 5*y + 2*t - 170 for y.
3
Solve -b = 12 - 19 + 11, -16 = 5*w - 23*b + 27*b for w.
0
Solve -u = 2*a - 7*a - 11, -u - 6148 + 6150 = 4*a for u.
6
Solve 15*o = 136*c - 135*c - 38, 6 = -c + 4*o - o + 8 for c.
-7
Solve a + 150 - 58 = -4*a + 9*c, 20*a - 9*c + 7*c = -266 for a.
-13
Solve 3*u - 6852*y + 6842*y + 3 + 33 = -u, -y - 2*y + 6 = 0 for u.
-4
Solve 64 + 44 = 18*d - 2*u, 2*d - 26 = u for d.
4
Solve 3*h - 53*b + 2*b + 978 = 0, -4*h + 10*b = 9*b + 31 for h.
-3
Solve 0 = n + 4*n - 3*k + 203, 259 = 2804*n - 2799*n + 4*k for n.
-1
Solve 10*l + 97 + 267 = -n, 4*l - 4*n = -128 for l.
-36
Solve 1999*n = 2*h + 2004*n + 36, 4*h - 4*n = -72 for h.
-18
Solve -139*d + 136*d - 54 = 0, 8*d = -3*o - 132 for o.
4
Solve 5*v = 603*i - 632*i + 236, 2*v + i - 111 = 6*i - 0*i for v.
53
Solve -52 = -k + 9*x, -2359*k - 20 = -2361*k + 4*x for k.
-2
Solve -7*j - 380*d + 759*d - 12 = 383*d, 0 = 2*d + 6 for j.
0
Solve 2*c + w + 14 = -3 + 8, -c + 42*w + 293 = 0 for c.
-1
Solve -86*g + 82*g = -v - 30, 0 = -81*v + g - 2107 for v.
-26
Solve 424*g + 180 = -4*b + 419*g, 2*b + 4*b - 4*g = -224 for b.
-40
Solve 85*h - 48*h - 4*a + 10 = 34*h, h + 6 = 2*a for h.
2
Solve -3*s + 13*p = 8*p + 31, 5*p - 19 = 3156*s - 3159*s for s.
-2
Solve -23*y = -18*i + 849, -3*i + 96*y - 84 = 99*y for i.
5
Solve 2*f + 248771*g = 248774*g - 39, 57 = -2*f + 9*g for f.
-15
Solve -3*z = 3*c - 120, 2*z + 9*c + 6096590 = 6096691 for z.
37
Solve 0 = d - 6, 3*y = 4*d + 23188 - 23227 for y.
-5
Solve w + 35 = 5*w - 72*b - 83*b + 158*b, -70*w - 2*b - 246 = 0 for w.
-4
Solve -4*k = -5*j - 318 + 277, 7*j + 19 = -4*k for k.
4
Solve -3*u - 213795*k = -213799*k + 15, -2*k = -5*u - 39 for u.
-9
Solve -4*r - 63 = -j, -6*r + 26*r - 9*r + 4*j = 13*r + 14 for r.
-17
Solve 234813*o - 234816*o = -4*h + 24, -5*o - 2*h = 14 for o.
-4
Solve -5*r = 22*h - 389, -529*r = -530*r + 4*h - 65 for r.
3
Solve -6*a - 8*s + 18 = 0, -467 = -4*a - 2*s - 465 for a.
-1
Solve 5*t - 102 = 3*q, 3*q + 2*t + 14315 - 14234 = 0 for q.
-29
Solve -208*y - 4*d - 4 = -210*y - 0*d, 2*d + 2 = 3*y + 4 for y.
-2
Solve 825*y - 7 = p + 828*y, -56*p + 7*y = 917 for p.
-16
Solve 2*i + 6*g = i + 41, -413735*i + 2*g + 0*g = -413736*i + 21 for i.
11
Solve -4*y + 231 - 225 = -o, o - 5*o + 2 = -y - 4 for y.
2
Solve -10*d = -14*d + 4*g - 20, -2*d - 205 = 4*g - 243 for d.
3
Solve -3*m = u - 17, 196*m = 19*u + 193*m - 83 for u.
5
Solve -2*o + 14*o = 8*o + 2*x - 94, 0 = -o - x - 31 for o.
-26
Solve -2*j - 4*f = 2*j, -27*j + 57*j + 3*f + 64 = 11*j for j.
-4
Solve 11306*a = 11309*a + 8*b + 177, -13*b - 312 = 0 for a.
5
Solve 90 + 34 = 2*r + 9*r + 5*n, 5*r - n - 11 + 7 = 0 for r.
4
Solve -5*m - 31*i + 13*i = -9*i - 8*i - 55, -3*m + 35*i = 1925 for m.
0
Solve 0 = 5*b - 3*x - 30, -20 = -93333*x + 93337*x for b.
3
Solve 7*n - 129 = -3*d, -6011*n + 6010*n = 4*d - 172 for n.
0
Solve 210*o = -11*g + 208*o - 200, 11*g - 5*o + 193 = 0 for g.
-18
Solve 153 = 3*r + 81*a, 826*r - 5*a - 255 = 821*r for r.
51
Solve 7*d - 6*d + 5*q + 3 = 5*d - 1, 0 = -3*d + 135*q - 522 for d.
6
Solve -13*x - 66 = -3*i, -34992*i - 4*x = -34993*i - 3*x + 22 for i.
22
Solve -5*r = -13*p - 58, 0 = 2*p - 3*p + 17*r + 11 - 165 for p.
-1
Solve 3*d = 4*v - 23, 3*d - 37851 = -3*v - 37902 for d.
-13
Solve 19*v + 83 = -2*f, 4*f - 3*f + 4*v = 1576 - 1590 for f.
6
Solve 5*c + 985*g = 493*g + 488*g - 220, 76 = -2*c - 4*g for c.
-48
Solve -5*h + 5*v - 6 = -2*h, -9*h = 3*v + 69 + 3 for h.
-7
Solve 0*f + 4*r = 3*f + 43, 22*f = -1124*r + 1125*r - 287 for f.
-13
Solve 6*a + 2*a + 4*z - 3*z = -2*z + 387, 135 = 3*z | {
"pile_set_name": "DM Mathematics"
} |
4 + p*k**2 and give p.
0
Express 252*c**2 + 252*c**2 - 3*c**3 - 23*c - 504*c**2 in the form o*c + d + y*c**3 + r*c**2 and give y.
-3
Express 195*t - 59*t + 219*t - 57*t as f*t + k and give f.
298
Express -6365*p**2 + 3182*p**2 + 3201*p**2 in the form r*p + j + i*p**2 and give i.
18
Express -1 + 113*u + 1 - 375*u - 727*u in the form b*u + m and give b.
-989
Rearrange (-14 - 24 + 26)*(-5*w + 16*w - 12*w) - 2*w + 2*w - 4*w to l + h*w and give h.
8
Express 3*z**2 + 3 + 2*z**4 - 519*z**3 + z - 2*z**2 + 519*z**3 as a + c*z**4 + u*z**2 + s*z**3 + w*z and give c.
2
Express y**3 + 2983*y**2 - 2*y + y - 1491*y**2 + 38*y**4 - 1487*y**2 in the form d + b*y**2 + q*y**4 + u*y + x*y**3 and give u.
-1
Express -6 + 16*a**3 + 22*a**3 - 36*a**3 + a**2 + 2*a in the form w + k*a**2 + f*a + p*a**3 and give p.
2
Rearrange ((-1 - 2 - 2)*(-1 - 9 + 3) + 0 + 0 + 2)*(-z**3 + 10 - 10) to i + q*z + b*z**2 + c*z**3 and give c.
-37
Rearrange -9*a + 6*a + 62*a**2 + 4*a + 2*a to the form v*a**2 + b*a + q and give b.
3
Rearrange 30*m**2 + 0 + 5 - 28*m**2 + 6*m to t + r*m + k*m**2 and give r.
6
Express 0*x**4 + 2*x**4 + 8*x**4 + (-12*x + 10*x + 8*x)*(x**3 + 3*x - 3*x) as k + l*x + c*x**2 + j*x**4 + b*x**3 and give j.
16
Rearrange 8*n - 5*n - 2*n - 187 + 6*n - 3*n to the form d + c*n and give c.
4
Rearrange 122*h**2 - 120*h**2 + 367*h**2 - h to the form f + n*h + i*h**2 and give n.
-1
Rearrange (-2*n - n + n)*(3341 - 262 + 2474 - 398 - 420) to l + m*n and give m.
-9470
Rearrange (-2*i + 5*i - 2*i)*(4 + 4 - 18) - 4*i + 4*i - 2*i - i + 0*i + 0*i + (-4 + 3 - 1)*(-6*i + i + 3*i) + 2*i - 3*i + 2*i to j*i + a and give j.
-8
Rearrange -9*w + 8*w + 2*w + 223 - 2*w + 0*w to the form g*w + t and give g.
-1
Rearrange -5*k**2 + k - 5*k**2 + 7*k**2 - k**4 - 2 to the form n + m*k + h*k**2 + r*k**4 + d*k**3 and give d.
0
Express (-25*f**3 - 3*f + 3*f)*(10*f - f - f) as c*f + d*f**2 + z + h*f**3 + q*f**4 and give h.
0
Express 3*r + 3*r - 144 + 144 + 36*r**2 in the form o*r + n + z*r**2 and give o.
6
Express -2 + 2 - 875*a**2 + 7*a**2 in the form v*a + c*a**2 + f and give c.
-868
Express 648*a + 17 - 17 - 112*a in the form z*a + b and give z.
536
Rearrange 140 + 11*o - 64 - 34 to the form w + f*o and give w.
42
Express -141 + 2*x**2 + 65 + 4*x + 65 - x in the form o*x**2 + b*x + y and give b.
3
Rearrange 11*j**3 - 4*j**4 + 2*j + 2*j - 13*j**3 + 6*j - 2 to m*j**2 + u*j**3 + c + g*j**4 + i*j and give c.
-2
Express 4*l**2 + l**2 + 188*l**3 - 199*l**3 in the form z*l + r + m*l**2 + j*l**3 and give r.
0
Express 671*g**3 + 4*g**2 + 241*g - 627*g**3 - 238*g in the form w*g**2 + f + n*g**3 + y*g and give w.
4
Rearrange (-1 - 3*q + q - 5)*(-1 + 2 - 2) to the form u*q + g and give g.
6
Rearrange -1950*x**4 - 1 - x - 3 + 1956*x**4 to r + g*x**4 + u*x**3 + o*x**2 + a*x and give g.
6
Rearrange 5*x**3 + 607 - 607 + 0*x**2 + 12*x - 14*x - x**2 to the form s*x**3 + l*x**2 + v + b*x and give l.
-1
Rearrange (-3 + 3 + 5*m)*(-2 + 1 - 2) + m - m + 2*m + (m + m + 0*m)*(0 + 1 - 3) - 2*m + 5 - 5 to the form j + u*m and give u.
-19
Express 84*j + 31*j - 17*j + 9*j in the form k + m*j and give m.
107
Express k**2 + 2*k**3 + 5*k**2 - 3*k**2 + k**2 - 12 in the form l*k**2 + s*k**3 + r*k + u and give r.
0
Express -6*g**2 + 4*g**2 + 3 + 8*g**2 - 1 - g as w*g + p*g**2 + h and give h.
2
Express 16794 - i + 3*i**3 - 2*i**4 + 7*i**2 + 0*i**4 - 16783 + 2*i in the form r*i**2 + u*i**3 + z*i + x*i**4 + a and give u.
3
Rearrange (-h + 2*h + 5*h)*(-4*h + 84 - 1 + 3*h) to the form w*h**2 + v*h + u and give v.
498
Express -19*m**2 - 52*m**2 + 8*m**2 in the form p*m + i*m**2 + k and give i.
-63
Express 3*o**4 + 19*o**3 + 10 - 2*o**4 + 20*o**3 - 34*o**3 in the form b + p*o + r*o**2 + a*o**4 + u*o**3 and give b.
10
Express -5*y - 16 - 9 + 18 + 6*y + 3*y as u + j*y and give u.
-7
Express (3 - 87*k - 12 + 7 + 1)*(-k + k + 5*k) in the form j + w*k + d*k**2 and give d.
-435
Rearrange (-200*z + 4*z - 45*z - 5)*(2*z + 1 - 1) to the form f*z + m*z**2 + j and give m.
-482
Express (-3 + 4 + 6)*(-t + 5*t - t) + 47*t - 16*t + 59*t in the form j + u*t and give j.
0
Express -q**3 - 2*q**3 + 4*q**3 + (6*q - 3 + 3)*(2 - 3 - 2)*(-1 + 4 + 1)*(-2*q**2 + 5*q**2 + 11*q**2) in the form z + h*q**3 + l*q + b*q**2 and give h.
-1007
Rearrange 2*c - 2*c - 2*c + (-2 - 2 + 1)*(-86*c - 262 + 262) - 3*c + 2*c + 3*c to w + z*c and give z.
258
Express 3*g**2 + 5*g**2 - 4*g**2 + 15*g - 3*g - 9*g**2 in the form b*g**2 + c + q*g and give b.
-5
Rearrange 8*i**3 + 20*i + 7*i**3 - 7*i**3 - 12*i + 1 + 2*i**3 to the form s*i + a*i**3 + r + j*i**2 and give r.
1
Rearrange (3785*l - 579 - 1895*l - 1892*l)*(-l - 2*l + 0*l) to the form v*l**2 + d*l + z and give v.
6
Express 39*v + 3210 - 1603 - 1597 as o*v + j and give j.
10
Rearrange ((-2 + 2 - 2)*(3 - 1 - 3) + 58 + 166 - 123)*(-u + u - u) to i + y*u and give i.
0
Express -2 + 353*b**2 + 5 + 2 - 4 - 2 - 3*b in the form d*b**2 + x*b + y and give y.
-1
Rearrange 0*w**3 + 2*w**3 + 50772*w**2 - 50786*w**2 + 2*w - 11 to p*w**3 + m*w + s*w**2 + a and give a.
-11
Rearrange ((-2 - 2 + 5)*(4 - 5 + 3) - 5 + 4 + 2 + 0 + 0 - 1 + 1 + 0 - 2)*(-i + 3*i - 16*i) to the form v*i + k and give v.
-14
Express 21*x**2 + 22 + 302 + 23*x**2 - 45*x**2 in the form t + g*x**2 + b*x and give t.
324
Rearrange ((4 + 1 + 2)*(-1 + 2 - 3) + 4 - 2 + 0)*(-2*x**2 + 3*x**2 - 2*x**2)*(-5 + 6 + 2*x + 5) to l*x**2 + v*x**3 + o + u*x and give u.
0
Rearrange (-2*w + 6*w**2 + 2*w)*(1 - 5 + 2)*(-79 + 55*w + 79) to h + a*w + g*w**3 + q*w**2 and give q.
0
Rearrange x - x + 2*x**3 + (0*x + 3*x**2 + 0*x)*(x + 2*x - 2*x) + 423 + 54*x**3 - 423 to the form o*x**2 + w + j*x**3 + b*x and give j.
59
Rearrange (-6 - 19 + 1)*(2 + 0 - 1)*(q - 3*q + 3*q)*(-2 - 8 + 3) to b + a*q and give a.
168
Rearrange ((0*m + 3*m - 5*m)*(m**2 - 4*m**2 + 2*m**2) + 0*m**3 - 5*m**3 + 2*m**3)*(-20 + 38 - 178) to the form u*m**3 + h*m**2 + t*m + p and give u.
160
Rearrange -x - 8*x + 2*x**4 + 7 - 2 + x to the form y*x**3 + a + r*x**4 + w*x**2 + h*x and give h.
-8
Express -106 + 106 + 39*s + 0*s - s - s - 2 + s + 2 + (2*s - s + s)*(1 + 1 - 1) in the form d + b*s and give b.
40
Express (5*a - 4*a - 2*a)*(464*a + 2*a**2 + 567*a - 1321*a) in the form u + h*a + l*a**3 + m*a**2 and give l.
-2
Rearrange -1002*h**3 - 7*h - 10 + 979*h**3 + 7*h to the form c*h**3 + r*h + k + s*h**2 and give c.
-23
Rearrange (-3 + 3 + 3)*((-4 - 3 + 5)*(j - j + 2*j) + (5 - 1 - 2)*(-5*j - j + 4*j)) + (6 - 7 - 9)*(-2*j - 3*j + 4*j) to d + h*j and give h.
-14
Express (-350 + 134 + 81)*(u - 3*u + 3*u) as r + l*u and give l.
-135
Rearrange (h - 3 + 3)*(9 - 12 - 26) + 11 + 0 + 2*h + 0 to the form s + z*h and give z.
-27
Rearrange 105*l**4 - 187*l**4 - 473*l**4 + (-2*l - 2*l + 2*l)*(2*l**3 - 2*l**3 + 2*l**3) to the form i*l**4 + g*l**2 + q*l**3 + k*l + j and give i.
-559
Express 23 - 66 + 25 - 14*q**3 + 2*q - 3*q**2 + 19 in the form l*q**2 + g*q**3 + h*q + m and give m.
1
Express (-4 + 3*u + 4)*(0 - 1 - 1) + (3 + 1 - 3)*(1 - u - 1) + 0 + 92*u - 8 - 87*u - 3 + 3 - 2*u as g*u + z and give g.
-4
Express -17*c - 7*c - 5 - 3 + 36*c + 5 as o*c + n and give o.
12
Express (3*r**4 - r**4 + 0*r**4)*(-4 + 4 - 2) - 19*r**3 - 7*r**3 + 806*r**4 + 267*r**4 + 26*r**3 as q*r**4 + t*r**2 + d + k*r**3 + j*r and give d.
0
Express 408*p - 826*p + 418*p - p**2 - 358 as q*p + v + z*p**2 and give v.
-358
Express (2*p + 5*p - 5*p)*(-14200 + 302*p**2 + 14200) in the form k*p + r + c*p**2 + v*p**3 and give v.
604
Rearrange 172 - 129 - 96*h + 95*h to the form p + z*h and give p.
43
Rearrange (-2*h + 1 - 1)*(-13*h**2 - 3996 + 3996)*(h + 3*h - 1 - 9*h) to r*h + u + f*h**2 + a*h**4 + q*h**3 and give a.
-130
Express -7*z + 16*z - 15*z - 17*z in the form r*z + m and give r.
-23
Rearrange (2*r**3 + 0*r**3 + r**3)*(-4 + 2 - 5)*(0 + 0 - r) to the form o*r + j*r**3 + u*r**2 + x*r**4 + d and give x.
21
Rearrange ((-2 - 1 + 5)*(3 + 0 - 1) + 3 + 1 - 6 + 1 + 4 - 4)*(-186*k + 96*k + 65*k) to the form c + u*k and give u.
-75
Rearrange (3*n - 3*n - n)*(n - 2*n - 3*n) - 254*n**2 + 926*n**2 + 660*n**2 + 1675*n**2 to s*n**2 + g*n + u and give s.
3011
Express -22 - 19 + 233*u**2 - 17 + 266*u**2 + 59 as y*u**2 + w + x*u and give y.
499
Rearrange -19*u**2 + 0*u**3 - 15*u**4 + 16*u**4 + 1 + 2*u**3 - 3*u**4 to the form n + y*u + f*u**2 + d*u**4 + z*u**3 and give z.
2
Rearrange (0*b - 4*b + | {
"pile_set_name": "DM Mathematics"
} |
- 5 + 11*u. Let k be z(10). Suppose -4*d - 18 = -k*r, 3*d - 24 = -4*r - d. Is 7 a factor of r?
True
Let n be 4/6 - (-1309)/21. Does 15 divide (-76)/19 + (n - 0)?
False
Suppose -3*t = -6*t + 21. Let y = -6 + 12. Is (5/y)/(t/42) a multiple of 3?
False
Let n be 5/25 + (-724)/(-5). Suppose -4*w - 5*a = -265, 0*w = -2*w - 5*a + n. Does 34 divide w?
False
Suppose 0 = 5*k - 5*s + 1414 + 1666, -3*k - 1842 = -s. Let w = 1100 + k. Let x = -335 + w. Does 38 divide x?
True
Let z = -1922 - -3693. Is z a multiple of 23?
True
Let l = -784 + 1715. Is 27 a factor of l?
False
Suppose 5*h + 102 + 58 = 0. Let o = h + 38. Does 16 divide (-1431)/(-15) - o/(-10)?
True
Suppose -145 = -4*m - g, -g = -3*m - 4*g + 120. Let b = 98 - m. Is b a multiple of 6?
False
Let p = 101 - 159. Let q = p + 98. Does 5 divide q?
True
Let y(b) be the first derivative of b**3/3 + 3*b**2 - 6*b - 4. Let r be y(9). Let z = r - 83. Does 16 divide z?
False
Let m = 34 + 18. Let p = -20 + m. Is p a multiple of 5?
False
Let h = -311 - -360. Does 4 divide h?
False
Let s(v) = 11*v**2 + 2*v - 3. Suppose 4*w + 8 = 5*g - 17, -4*w = -2*g + 22. Does 2 divide s(g)?
True
Suppose -3*n + 1231 = l, -1239 = 4*l - 5*l - n. Is 15 a factor of l?
False
Suppose -3*i + 15 = -2*i. Let g be (5/3)/(5/i). Suppose -g*j - 5*n + 130 = 0, 6*j - j = -2*n + 118. Is 10 a factor of j?
False
Let x = -119 + 537. Is x a multiple of 38?
True
Suppose 8*y - 434 = y. Is 3 a factor of y?
False
Suppose 2*c + 35 = 5*h, 2*c = -4*h + 3*c + 25. Suppose h*v + 5*z = 30, -15 - 3 = -v - 4*z. Suppose -16 = -v*b + 54. Is 12 a factor of b?
False
Let d = 66 + -47. Let c = d + 20. Does 16 divide c?
False
Suppose -18*t - 4 = -16*t. Does 22 divide 45/2 - t/(-4)?
True
Let s(g) = 146*g**3 + 2*g**2 - 1. Let t(z) = 2*z - 11. Let o be t(6). Let h be s(o). Suppose -3*j = -0*j - 3*q - 93, 5*j - q - h = 0. Is j a multiple of 14?
False
Let r(x) = -7*x + 20 - 3*x + 9*x + 2*x. Let t be r(0). Suppose -104 = -u - t. Is 12 a factor of u?
True
Let l = 18 - 26. Is 5 a factor of 4 + l + 21 + (0 - 1)?
False
Let d be -2*(9/2)/3. Let v be -95 - (1 + -4) - d. Is 24 a factor of ((-1)/(-1) + -2)*v?
False
Suppose -6*f + 35*f = 19082. Does 14 divide f?
True
Is 11 a factor of (0 + (-846)/42)/(2/(-14))?
False
Let d(i) = 26*i**3 + 4*i - 4. Is 22 a factor of d(3)?
False
Suppose 3*g = 3*r + 2*r + 131, 4*r + 16 = 0. Does 23 divide g?
False
Let s = 15 - 2. Let l = -28 + s. Let a = l - -30. Is a a multiple of 5?
True
Let h(j) = -j**3 - 12*j**2 - 11*j + 3. Let b be h(-11). Suppose -15 = -b*i - 0*i. Is 384/30 + 1/i a multiple of 8?
False
Let i = 10 - 7. Suppose -7*q = -i*q - 64. Suppose -q - 24 = -5*d. Is 8 a factor of d?
True
Is 14 a factor of ((-444)/14)/(18/(-63))?
False
Let w(v) = v + 11. Suppose 0 = -3*g + 3 - 18. Let m be w(g). Is (-5 + -3)/((-2)/m) a multiple of 12?
True
Suppose 4*q - 5*f - 5086 = 0, -49*q + f + 3809 = -46*q. Is q a multiple of 18?
False
Let f(l) = -2*l - 1 + l**2 + 3 - 2*l. Let r(s) = s**2 + 22*s + 76. Let y be r(-18). Is f(y) a multiple of 2?
True
Let s(m) = 2*m**2 + 17*m - 10. Let z(q) = 3*q**2 + 34*q - 21. Let k(x) = -5*s(x) + 3*z(x). Is k(7) a multiple of 11?
False
Suppose -153090 = 216*u - 270*u. Is u a multiple of 13?
False
Suppose b + 3*z + 33 = 0, 7*z = -2*b + 4*z - 75. Does 7 divide (32/(-6))/(7/b)?
False
Let y = -61 + 61. Suppose -8*g = -y*g - 144. Does 4 divide g?
False
Suppose -4*t + 752 = d - 759, -3*t + 4524 = 3*d. Is 12 a factor of d?
False
Let m = -1 + -39. Let l = -10 - m. Does 14 divide l?
False
Let z(b) = 148*b**2 - 37*b + 254. Does 16 divide z(6)?
True
Let j(p) = 10*p + 48. Is 59 a factor of j(7)?
True
Let l = -25 + 25. Suppose q = -3*o - o + 81, l = 2*o + 8. Is 26 a factor of q?
False
Let u(s) = -s**3 - 26*s**2 - 200*s + 4. Does 35 divide u(-17)?
False
Let c(o) = -17*o - 2. Let g be c(-2). Suppose -2*j + 17 = 4*z - z, g = 5*j + 4*z. Suppose 73 - 221 = -j*k. Does 37 divide k?
True
Let h(z) = 42*z - 15. Does 16 divide h(6)?
False
Suppose 4*d = -12, -3*d + 1629 = 5*m - 6*d. Is 25 a factor of m?
False
Suppose 3*t = -2*a + 327, -3*a = -4*a + t + 156. Let s be (-1065)/(-11) + 10/55. Let i = a - s. Does 13 divide i?
False
Let c = 419 - 180. Is 16 a factor of c?
False
Let c(h) = -h**3 + 7*h**2 + 7*h + 8. Let o be c(8). Suppose o*r - r + 5 = 0. Suppose r*t = 2*t + 84. Is 7 a factor of t?
True
Suppose 0 = 26*w - 22*w - 452. Is 17 a factor of w?
False
Let g = -83 + 85. Suppose -3*z = 4*v - v - 339, -g*z = -v + 110. Is v a multiple of 28?
True
Let b = -432 - -864. Is 36 a factor of b?
True
Suppose 28*c = -654 + 4014. Does 10 divide c?
True
Let m = -132 + 132. Suppose m = 6*x - 362 - 286. Does 15 divide x?
False
Suppose -19*h + 2304 = -13*h. Does 64 divide h?
True
Suppose -2*z = q - z - 270, 1050 = 4*q - 2*z. Suppose -265 = -2*h - 3*v + q, -1325 = -5*h - 4*v. Is 33 a factor of h?
False
Suppose -4 = 4*l + 4. Let r be ((-5)/l)/(2/4). Suppose -3*a - 58 = -5*a + r*d, 5*d = 5*a - 130. Does 12 divide a?
True
Let r be 70 - ((-20)/5 + 4). Let h = 223 - r. Does 21 divide h?
False
Let v = 65 - -59. Let a = -490 + 426. Let c = v + a. Does 20 divide c?
True
Suppose p = 3*h - 4 - 9, 0 = -p - 2*h - 3. Let z(j) = j**3 + 8*j**2 - 5*j + 3. Is 14 a factor of z(p)?
False
Suppose 2*h = -2*p + 458, -11*h - 5 = -6*h. Is 5 a factor of (116/10)/(-9 - p/(-25))?
False
Let c be 2 + (122 - -3) - -3. Suppose b - 2*h - 69 = h, 2*h = -2*b + c. Is 31 a factor of b?
False
Is 30/(1 + (-174)/180) a multiple of 18?
True
Let x = -12 - -15. Suppose -x*p = -m + 5, 0*m = -5*m + 25. Does 35 divide p + (1 - 116/(-2))?
False
Let j be (13 - 11) + (5 - 1). Let a(s) = 0 + 7*s + 4 - 2*s + j*s**2 + 0*s. Is a(-2) a multiple of 8?
False
Let d = 167 - 125. Does 42 divide d?
True
Let q(b) = 23*b - 3. Let w(t) = t + 3. Let n be w(2). Is q(n) a multiple of 28?
True
Suppose 3*c + 700 = 5*j, 0*c - 291 = -2*j - c. Suppose 0 = 4*f - 4*m + m - 279, 2*f - 5*m = j. Does 21 divide f?
False
Let o = 4 + 15. Let b(c) = -c**2 + 21*c + 10. Is b(o) a multiple of 8?
True
Let p = 308 + -125. Suppose 4*l - l = p. Let g = -31 + l. Is 15 a factor of g?
True
Suppose -5*f + 5*s + 2502 = s, -2*f - 4*s = -1012. Does 17 divide f?
False
Let v = 2081 + -1274. Is v a multiple of 6?
False
Let h(o) = 4*o**2 + 35*o + 98. Is 80 a factor of h(-15)?
False
Let l be ((-10)/6)/((-4)/12). Let t be ((-16)/20)/(1/l). Does 17 divide t/(-4) - (-48 + -2)?
True
Let h(b) be the second derivative of -b**4/12 + 23*b**2/2 - b. Let j be h(0). Suppose -2*w + j = -71. Is 23 a factor of w?
False
Let b(y) = -4*y - 2*y + 7*y - 12. Let v be b(16). Suppose -25 = -v*r + 31. Is 5 a factor of r?
False
Let k be 0*4/(-8)*-2. Let f be k*(1 - (3 + -1)). Suppose -2*p + 30 = -f*p. Is p a multiple of 5?
True
Suppose 11*o - 6*o + 20 = 0. Let x = o - -1. Does 11 divide 1*x - (-1656)/24?
True
Let w be 8/14*70/(-20)*-2. Suppose 2*y + d = y + 207, 4*d = y - 197. Suppose y - 5 = w*j. Does 10 divide j?
True
Suppose -50*i + 54*i + j - 737 = 0, -2*i - 4*j = -372. Is i a multiple of 12?
False
Suppose 0*g = 4*g. Suppose g = -7*u + 3489 + 1061. Does 8 divide u/15*(-12)/(-10)?
False
Let r(n) = n**3 - 8*n**2 - 15*n - 8. Let m be r(11). Let g = m - 88. Is g a multiple of 17?
True
Suppose -j + 2264 = 7*j. Is 27 a factor of (j/(-3))/((-6)/18)?
False
Let n be ((-35)/20)/(2/8). Let v = 14 - n. Does 21 divide v?
True
Let p = -95 - -99. Suppose 0*v - p*a + 44 = v, 2*a = -5*v + 274. Is 8 a factor of v?
True
Let w be 6/(-4)*4/(-6). Suppose 0 = r + w - 4. Does 18 divide 1*(r + 0 + 33)?
True
Let x be (-2)/2 - (-8 - -4). Suppose -x*g + 33 + 9 = 0. Does 14 divide g?
True
Let w be 2 + 0/(-2 + 5). Suppose -3*m = w*m + q - 416, 0 = 2*m + q - 164. Does 21 divide m?
True
Let g(p) = 10*p**2 + 60*p + 92. Let c(r) = -3*r**2 - 20*r - 31. Let i(v) = 7*c(v) + 2*g(v). Is 29 a factor of i(-14)?
False
Suppose 0*w = -2*v - 4*w - 20, -2*w - 58 = 4*v. Let z = 212 - 194. Let o = z - v. Is 13 a factor of o?
False
Suppose 6*p + 1190 - 3098 = 0. Is p a multiple of 30?
False
Is 4 a factor of (3 + 7)/(-4*(-3)/120)?
True
Let v be -52 - (3 + 2/(-1)). Let r(k) = k - 30. Let y be r(10). Let q = y - v. Does 11 divide q?
True
Suppose 2*h = -u + 532, 0*u + 788 = 3*h + 4*u. Suppose -l + 3*l + 2*t = 146, -4*l = -2*t - h. Is l a multiple of 29?
False
Let o = -156 - -876. Is o a multiple of 16?
True
Let i(a) = -2*a - 5. Le | {
"pile_set_name": "DM Mathematics"
} |
4 - 11*l**2 wrt l?
-52*l**3 - 18*l
Let w(p) be the second derivative of -5/4*p**4 + 0*p**3 + 0 + 0*p**5 + 0*p**2 + 0*p**6 + 13/42*p**7 - 6*p. Find the third derivative of w(c) wrt c.
780*c**2
Let z be 89/(-168) + 36/63. Let w(i) be the third derivative of -z*i**4 + 0*i**3 + 2*i**2 - 1/12*i**5 + 0 + 0*i. Find the second derivative of w(g) wrt g.
-10
Differentiate -4792*q + 2170*q + 2357*q - 869 with respect to q.
-265
Suppose -2*o = -8*o + 132. What is the third derivative of -o*c**2 + 10*c**2 + 9*c**2 + 4*c**4 wrt c?
96*c
Let r(i) = i**2 + 5*i + 10. Let a be r(-4). Find the third derivative of 20*h**2 + 2*h**a - 20*h**6 - 24*h**2 - 15*h**2 wrt h.
-2160*h**3
Let m(t) be the third derivative of 47*t**6/120 - t**5/30 - t**3/6 + 161*t**2. Find the third derivative of m(w) wrt w.
282
Let x be 0*2/4 - -6. Find the third derivative of 3*h**3 + 5*h**3 - 5*h**2 + x*h**2 wrt h.
48
Let s(q) = -251*q**2 - 2*q - 371. Let b(y) = -501*y**2 - 5*y - 739. Let m(t) = -2*b(t) + 5*s(t). Differentiate m(o) wrt o.
-506*o
Let o(s) = -22*s**3 + 7*s + 6. Let j(z) = 66*z**3 - 22*z - 18. Let i(u) = -3*j(u) - 10*o(u). What is the second derivative of i(w) wrt w?
132*w
Let h(g) = g**3 + 9*g**2 - 2*g. Let j be h(-9). Find the first derivative of j + 3567*z - 3567*z - 16*z**2 wrt z.
-32*z
Let n = 3 + 7. Suppose s + 13 + n = 5*q, q - 5 = 0. Find the second derivative of 0*y**2 - s*y**2 + 4*y**2 - y wrt y.
4
Let d(h) = 58*h**2 - 20*h - 813. Let n(u) = 173*u**2 - 57*u - 2440. Let w(c) = -17*d(c) + 6*n(c). Find the first derivative of w(r) wrt r.
104*r - 2
Find the first derivative of -5*x**4 + 2*x - 4*x + 2*x + 4*x**3 - 101 wrt x.
-20*x**3 + 12*x**2
Find the second derivative of 2*a**2 + 416*a**3 - 432*a**3 - 11*a + 77*a wrt a.
-96*a + 4
Let j(x) be the third derivative of -2*x**7/35 + x**5/30 + x**4/8 - x**3/3 - 33*x**2. What is the second derivative of j(h) wrt h?
-144*h**2 + 4
Let v(b) = -b. Let g be 3 + 0 + 2 + -3. Let r(k) = k**4 + 4 + 0*k**4 + 0*k**4 - g*k - 4*k. Let d(o) = -r(o) + 6*v(o). Differentiate d(t) wrt t.
-4*t**3
What is the second derivative of 62*a**2 + 84*a**2 - 5*a**2 - 23*a - 27*a + 31*a**2 wrt a?
344
Find the second derivative of 3 - 96*w**5 - 302*w**5 - 4*w - 40*w**5 wrt w.
-8760*w**3
Let x(r) be the third derivative of -287*r**5/60 + 31*r**4/24 + r**3/3 + 669*r**2. What is the second derivative of x(f) wrt f?
-574
Suppose i = 4*o + 10 + 1, 6 = 4*i + 3*o. Suppose i*t - 2*t - 6 = 0. Differentiate t*w**3 - w**3 - 31 + 30 wrt w.
15*w**2
Let a be (-16)/4 + (0 - -6). Differentiate 18 + 23*z**4 - z**a - 31*z**4 + z**2 wrt z.
-32*z**3
Let x(z) be the third derivative of 0 + 1/4*z**4 + 0*z**6 - 15*z**2 - 1/70*z**7 + 0*z**5 + 0*z + 0*z**3. Find the second derivative of x(h) wrt h.
-36*h**2
Suppose 5*a = -2*t + 51, 3*a = 2*a + 5. Differentiate -t*w**4 - 11 + 0 + 5 + 1 with respect to w.
-52*w**3
Let g(n) = -59*n**2 + 97. Let v(d) = 60*d**2 - 96. Let x(w) = 4*g(w) + 5*v(w). Differentiate x(o) with respect to o.
128*o
What is the third derivative of -43*w**2 + 87*w**4 + w**5 + 95*w**2 + 87*w**2 - 154*w**4 + 88*w**4 wrt w?
60*w**2 + 504*w
Let c(f) = 183*f**2 + 292*f - 8. Let g(w) = -182*w**2 - 287*w + 6. Let r(m) = 2*c(m) + 3*g(m). What is the second derivative of r(i) wrt i?
-360
Let q(u) be the second derivative of u**6/30 - 17*u**5/20 + 343*u**3/6 + 32*u - 3. Find the second derivative of q(t) wrt t.
12*t**2 - 102*t
Let o(q) = -q**2 + 8*q + 6. Let m be o(7). Let c = -9 + m. What is the second derivative of -2*b**5 + b - c*b + 2*b - 2*b**5 wrt b?
-80*b**3
Let j be (-2)/((10/2)/(-30)). What is the second derivative of -24*r**4 - 27*r**4 - 2*r**5 + 51*r**4 - j*r wrt r?
-40*r**3
Let o(z) be the second derivative of 0 + 11*z + 2/15*z**6 + 0*z**2 + 0*z**3 + 0*z**5 + 1/4*z**4. What is the third derivative of o(j) wrt j?
96*j
Let m(x) be the third derivative of -x**7/10 + x**5/30 - 5*x**4/24 + 3*x**2 - 12. Find the third derivative of m(c) wrt c.
-504*c
Let b be (-2)/6 - 110/(-33). Suppose 0 - 6 = -b*a. What is the third derivative of a*f**6 + f**6 + 2*f**6 - f**2 wrt f?
600*f**3
Let w(s) be the third derivative of 0 - 31*s**2 + 0*s**6 + 0*s**5 + 0*s + 5/6*s**4 + 2/21*s**7 + 0*s**3. What is the second derivative of w(y) wrt y?
240*y**2
Let h(q) be the first derivative of -181*q**6/6 + 52*q**2 - 2*q - 464. What is the second derivative of h(w) wrt w?
-3620*w**3
Let n(g) be the first derivative of -3*g**6/40 + 13*g**4/24 + 2*g**3 - 32. Let p(y) be the third derivative of n(y). Differentiate p(m) with respect to m.
-54*m
Let j(x) be the second derivative of -x**6/10 - x**3/3 - 79*x**2/2 - 25*x - 3. What is the derivative of j(l) wrt l?
-12*l**3 - 2
Let k(y) = y**3 + 1. Let d = -28 - -27. Let c(o) = 17. Let h(g) = d*c(g) + 5*k(g). What is the derivative of h(r) wrt r?
15*r**2
What is the third derivative of 2*h**2 + 4*h - 16*h**2 + 1930*h**5 + h - 1795*h**5 wrt h?
8100*h**2
Differentiate 385*i**4 + 18*i - 190*i**4 + 51 - 197*i**4 wrt i.
-8*i**3 + 18
Let r(g) = 98*g**3 + 15*g**2 + 10*g - 702. Let o(z) = -49*z**3 - 7*z**2 - 4*z + 348. Let h(d) = 5*o(d) + 2*r(d). What is the derivative of h(i) wrt i?
-147*i**2 - 10*i
Let q(i) be the second derivative of 0*i**3 - 6*i - 15/2*i**2 - 11/12*i**4 + 0. What is the first derivative of q(f) wrt f?
-22*f
Let r(f) be the second derivative of f**6/15 - f**3/6 + 35*f**2/2 + 22*f. What is the derivative of r(y) wrt y?
8*y**3 - 1
Find the first derivative of 718 + 86577*u - 86563*u + 220 wrt u.
14
Let d(a) = 2*a**2 - a. Let q be d(-1). Let l be 5/q + (-6)/(-18). What is the second derivative of 9 + 4*g**3 - 2 - 7 + l*g wrt g?
24*g
Let c be 20/((-3)/(-3)*4). Let m be (-15)/2*(-4)/6. What is the second derivative of 18*n**m - 40*n**c + 15*n**5 - 12*n wrt n?
-140*n**3
What is the derivative of 2683 + 3*t**2 - 3*t**2 - 2574 - 75*t**4 wrt t?
-300*t**3
Let b(x) = -x - 6. Let o be b(-9). Suppose 0 = -4*n - 0*n + 676. Find the second derivative of 4*u**4 - n*u**o - 9*u + 169*u**3 wrt u.
48*u**2
Let l(t) = -55*t**2 - 99*t - 4. Let u(d) = 110*d**2 + 200*d + 10. Let s(g) = -5*l(g) - 2*u(g). What is the second derivative of s(o) wrt o?
110
Let r(i) = 8*i**3 - 8 + 18*i**2 + 1 + 4 - 6*i. Let b(v) = 8*v**3 + 18*v**2 - 8*v - 4. Let h(l) = -3*b(l) + 4*r(l). Find the third derivative of h(k) wrt k.
48
Let d(v) be the third derivative of v**7/70 + v**5/30 + 233*v**3/6 - 225*v**2. Differentiate d(x) wrt x.
12*x**3 + 4*x
Suppose 0*g - 6 = -3*g + 5*p, 3*g = 3*p. Let s be -1 + 33/g*-1. What is the second derivative of 2*h**2 - s*h**2 + 6*h**2 + 5*h wrt h?
-4
What is the second derivative of w**2 - 3*w**2 + 0*w**2 + 1 - 25*w + 7*w**2 + 24*w**2 wrt w?
58
Let b = -29 - -21. Let l be b/4*(-1)/1. What is the third derivative of -2*f**2 + 6*f**3 - 5*f**3 - 4*f**2 - l*f**3 wrt f?
-6
Let i(f) = 2*f**2 - 48*f - 47. Let j(k) = -2*k**2 + k + 1. Let m(r) = i(r) + 2*j(r). Differentiate m(v) wrt v.
-4*v - 46
Let g(y) = -y**3 + 7*y**2 - 8*y - 11. Let h be g(5). Let u(z) = 4*z - 2*z - z. Let r(q) = 42*q - 12. Let i(b) = h*r(b) + 36*u(b). Differentiate i(c) wrt c.
-6
Let x(h) be the first derivative of -2*h**5/5 - 5*h**4/2 + 61*h + 106. Differentiate x(b) with respect to b.
-8*b**3 - 30*b**2
Let j(r) = 94*r**2 - 81*r. Let y(w) = -281*w**2 + 242*w. Let v(c) = 11*j(c) + 4*y(c). Find the second derivative of v(s) wrt s.
-180
Let h(u) = -33*u + 82. Let z(k) = 2*k. Let x(j) = -h(j) + 4*z(j). Find the first derivative of x(i) wrt i.
41
Let k(j) be the third derivative of j**6/24 - j**5/4 + 20*j**3 - 2*j**2 - 94*j. Find the first derivative of k(c) wrt c.
15*c**2 - 30*c
Find the second derivative of -664*c**2 + 1327*c**2 - 669*c**2 + 35*c wrt c.
-12
What is the derivative of 23 + 268*c - 76*c**2 - 268*c wrt c?
-152*c
Suppose 3*x + 14 = k, -1 - 1 = -3*k - x. Find the third derivative of 5*u**2 - 8*u**2 - 21*u**k + 8*u**6 wrt u.
960*u**3
Differentiate 29 + 254*b**2 - 58*b**2 + 32 + 5 with respect to b.
392*b
Let h(v) be the third derivative of -v**6/60 + v**5/30 + 5*v**4/24 - 7*v**3/6 + 12*v**2 + v. Find the second derivative of h(y) wrt y.
-12*y + 4
What is the third derivative of -108*s**6 + 2669*s**2 - 211*s**6 - 2339*s**2 wrt s?
-38280*s**3
Let m(l) = 830*l**3 + 25*l + 69. Let w(x) = -5*x - 1. Let j(z) = m(z) + 5*w(z). Find the first derivative of j(n) wrt n.
2490*n**2
Let d(w) = w** | {
"pile_set_name": "DM Mathematics"
} |
t 1, -0.004, -3/22, 2 in decreasing order.
2, 1, -0.004, -3/22
Sort -8, 424, -5 in decreasing order.
424, -5, -8
Put 35, 4, -10, 0 in decreasing order.
35, 4, 0, -10
Sort -0.5, -1/14, -10.
-10, -0.5, -1/14
Put -0.3, 2, 4/5, 1/6 in descending order.
2, 4/5, 1/6, -0.3
Sort -2, 21, 2/79 in ascending order.
-2, 2/79, 21
Put 0.83, -96, 3/5 in decreasing order.
0.83, 3/5, -96
Put 4, -8, -2 in descending order.
4, -2, -8
Put 4/9, -1/4, -0.1, -7 in descending order.
4/9, -0.1, -1/4, -7
Put 58, 15, 1 in decreasing order.
58, 15, 1
Put -5, 104, 5, -1, 3 in ascending order.
-5, -1, 3, 5, 104
Put -1, 4, 5, -4 in decreasing order.
5, 4, -1, -4
Put 17, -2, -1, -29 in descending order.
17, -1, -2, -29
Sort 3, 4, -5 in descending order.
4, 3, -5
Put 1, -17, -10, 0 in decreasing order.
1, 0, -10, -17
Sort 0.2, 6, 0.4, 0.7 in descending order.
6, 0.7, 0.4, 0.2
Sort -1/2, 0, 5, -5, -3 in descending order.
5, 0, -1/2, -3, -5
Sort -5, -8, 0, 4 in descending order.
4, 0, -5, -8
Sort -10, -5, 3, 20.
-10, -5, 3, 20
Put 1, 19, -4 in decreasing order.
19, 1, -4
Put 2, 12, -2 in descending order.
12, 2, -2
Put 5, 17, -4, 3 in increasing order.
-4, 3, 5, 17
Put -2, 601, -1 in increasing order.
-2, -1, 601
Sort -1/4, 8, 0.3, -7 in descending order.
8, 0.3, -1/4, -7
Sort 807, 4, -5 in ascending order.
-5, 4, 807
Sort -7, 0, 121 in increasing order.
-7, 0, 121
Sort 1/8, -0.9, 2/5 in decreasing order.
2/5, 1/8, -0.9
Sort 1, -14, 4 in decreasing order.
4, 1, -14
Sort -0.0217, 3/8, -0.1, 4 in ascending order.
-0.1, -0.0217, 3/8, 4
Sort -9, 43, 3.
-9, 3, 43
Sort 4, 65, -3, -16, -5 in descending order.
65, 4, -3, -5, -16
Put 59, 3, -3 in decreasing order.
59, 3, -3
Put 56, -2, -5 in descending order.
56, -2, -5
Put -17, -55, 3 in decreasing order.
3, -17, -55
Sort 6/7, -4, -0.5, 0.448, -2 in decreasing order.
6/7, 0.448, -0.5, -2, -4
Sort 2, 182, 3, 0, -3 in increasing order.
-3, 0, 2, 3, 182
Sort -3, 10, 4, -62 in increasing order.
-62, -3, 4, 10
Put 0, 1, -30, -81 in increasing order.
-81, -30, 0, 1
Sort -1/4, -3/5, 0.22 in descending order.
0.22, -1/4, -3/5
Put -0.01, -2, 1, 0.19, -3 in decreasing order.
1, 0.19, -0.01, -2, -3
Put 84, 4, -6 in decreasing order.
84, 4, -6
Sort 4.94, -5, 3/5, -3, 4 in descending order.
4.94, 4, 3/5, -3, -5
Put 1, 2, 5, 6 in ascending order.
1, 2, 5, 6
Put 4, -1/6, -5, 1.5 in increasing order.
-5, -1/6, 1.5, 4
Put 47, -23, -4, -3 in descending order.
47, -3, -4, -23
Put -3, 1, -4, 4, -6 in descending order.
4, 1, -3, -4, -6
Put -1, -4, 1/14, 0.4 in decreasing order.
0.4, 1/14, -1, -4
Put -0.5, 4/9, 2/17, -1 in increasing order.
-1, -0.5, 2/17, 4/9
Sort 3, 0, -29, -2, -1 in decreasing order.
3, 0, -1, -2, -29
Put -5, -4, -46, 1 in increasing order.
-46, -5, -4, 1
Sort 0.5, -1, -3/4, 2/11, 0.2.
-1, -3/4, 2/11, 0.2, 0.5
Put -2, -17, 6, 37 in decreasing order.
37, 6, -2, -17
Put 3, 5, -2 in decreasing order.
5, 3, -2
Sort -2, 1, -6 in increasing order.
-6, -2, 1
Sort -4, 4, -5, -2 in increasing order.
-5, -4, -2, 4
Sort -4, 0, 3, -57 in decreasing order.
3, 0, -4, -57
Sort -25, 1, 3 in ascending order.
-25, 1, 3
Sort 4/7, -1/2, -5, -235/3, 3/4 in descending order.
3/4, 4/7, -1/2, -5, -235/3
Sort 0.04, -14, -1, 0.3.
-14, -1, 0.04, 0.3
Put -1/10, -3, 0.5 in decreasing order.
0.5, -1/10, -3
Sort 0, -3, -9, -2, 4 in increasing order.
-9, -3, -2, 0, 4
Sort 5, -4, 4, -15 in descending order.
5, 4, -4, -15
Put -1, -5, 511, -2, 3 in decreasing order.
511, 3, -1, -2, -5
Put 3, -3, -6, 9 in increasing order.
-6, -3, 3, 9
Sort 14, -5, -7, -1.
-7, -5, -1, 14
Put -4, -2, -120 in decreasing order.
-2, -4, -120
Sort 4, 9, 20, 0 in descending order.
20, 9, 4, 0
Sort -1, 219, 5, 4, 2 in descending order.
219, 5, 4, 2, -1
Put -4, -3, 3, 0, -5 in descending order.
3, 0, -3, -4, -5
Sort 8, 7, 2 in increasing order.
2, 7, 8
Put -267, 1, 12 in ascending order.
-267, 1, 12
Put 1, -5, -14, 4, 0 in descending order.
4, 1, 0, -5, -14
Put 4, 1, -11, -2 in decreasing order.
4, 1, -2, -11
Sort -0.3, -4, -1.3, -9.
-9, -4, -1.3, -0.3
Put 10, -5/2, 0.3 in descending order.
10, 0.3, -5/2
Sort -15, 2/7, -10 in descending order.
2/7, -10, -15
Sort 7, 0.5, -422 in decreasing order.
7, 0.5, -422
Sort -2/7, -1.8, -51 in decreasing order.
-2/7, -1.8, -51
Put 0, 16, 7 in ascending order.
0, 7, 16
Sort -3, 0.3, 4, -0.3 in increasing order.
-3, -0.3, 0.3, 4
Put 8, -3, 0, 18 in decreasing order.
18, 8, 0, -3
Sort -4, -2, 0, -22 in descending order.
0, -2, -4, -22
Sort -7, 8, 5 in ascending order.
-7, 5, 8
Sort -1/7, 13, -4, -1/72.
-4, -1/7, -1/72, 13
Sort 27, 3, -157 in decreasing order.
27, 3, -157
Sort 2, -194, 5, 0, -5.
-194, -5, 0, 2, 5
Sort 44, 18, -3 in descending order.
44, 18, -3
Sort -1, 82, 5, 2 in ascending order.
-1, 2, 5, 82
Sort 10/3, -0.2, 7/3 in decreasing order.
10/3, 7/3, -0.2
Sort -26, 1/6, -0.3, -0.1 in descending order.
1/6, -0.1, -0.3, -26
Put -27, -4, 1 in decreasing order.
1, -4, -27
Sort 2, 1, -5, -111 in descending order.
2, 1, -5, -111
Put -5, 4, 13 in increasing order.
-5, 4, 13
Sort -4, 95, 2, 5 in increasing order.
-4, 2, 5, 95
Put 0.6, 2/9, 0.5, -3.3 in decreasing order.
0.6, 0.5, 2/9, -3.3
Sort -5, -4, 1, 4 in decreasing order.
4, 1, -4, -5
Sort -1/2, -5, 1/2479.
-5, -1/2, 1/2479
Sort -3, 0, -2 in descending order.
0, -2, -3
Sort 0.1, -1/7, 244, 2/5, 2/11 in descending order.
244, 2/5, 2/11, 0.1, -1/7
Sort 2, 1, 8, 24 in decreasing order.
24, 8, 2, 1
Sort -3, -0.5, 0, -12, 1/11 in ascending order.
-12, -3, -0.5, 0, 1/11
Sort 180, -3, 4, -2, 0.
-3, -2, 0, 4, 180
Put 0, -1, -12, -2 in ascending order.
-12, -2, -1, 0
Sort -137, -1, -5, 9.
-137, -5, -1, 9
Sort 16, -4, -3, -9, -1 in increasing order.
-9, -4, -3, -1, 16
Put 0.5, 0, -0.55 in decreasing order.
0.5, 0, -0.55
Put 3, 6, -11 in descending order.
6, 3, -11
Put 3, -0.1, -1/60 in increasing order.
-0.1, -1/60, 3
Sort -1, -76, -25 in descending order.
-1, -25, -76
Put 2/9, -1/10, -0.42 in descending order.
2/9, -1/10, -0.42
Put 3/4, -1/7, -4, -2 in decreasing order.
3/4, -1/7, -2, -4
Put -5, -1/4, 2/3, -2 in descending order.
2/3, -1/4, -2, -5
Sort 5, -3, 15 in ascending order.
-3, 5, 15
Sort 6, 0.5, -4, -660 in increasing order.
-660, -4, 0.5, 6
Sort -5, 3, -1, 5, 37 in increasing order.
-5, -1, 3, 5, 37
Put 1, 42, -1 in descending order.
42, 1, -1
Put -0.3, -0.4, 0, -19, 3 in ascending order.
-19, -0.4, -0.3, 0, 3
Sort -7, -1/8, -8, -1 in decreasing order.
-1/8, -1, -7, -8
Put 1276, 3, -4, 5, 4 in descending order.
1276, 5, 4, 3, -4
Put -2/39, 2/3, -1.5 in descending order.
2/3, -2/39, -1.5
Put 2/15, 5/37, 3 in descending order.
3, 5/37, 2/15
Sort 27, 1, 2 in ascending order.
1, 2, 27
Put 0, 4, -1, 31 in decreasing order.
31, 4, 0, -1
Sort -43, -24, 1, 3, -0.1 in increasing order.
-43, -24, -0.1, 1, 3
Put -2/9, 9, 0.13 in descending order.
9, 0.13, -2/9
Sort -7, 3, 0, 5, -5 in descending order.
5, 3, 0, -5, -7
Put -0.049, -4, 4 in decreasing order.
4, -0.049, -4
Sort 517, -1/3, 0.2, 4 in decreasing order.
517, 4, 0.2, -1/3
Sort -11, 99, -4.
-11, -4, 99
Sort -2, 3, -4, -5 in decreasing order.
3, -2, -4, -5
Sort 1, 11, -5, -4, -72 in decreasing order.
11, 1, -4, -5, -72
Put -87, -80, 4 in decreasing order.
4, -80, -87
Sort 4, -4, 2, 20 in descending order.
20, 4, 2, -4
Sort -2/5, -2/31, 7 in ascending order.
-2/5, -2/31, 7
Sort 8, -40, -3, -4.
-40, -4, -3, 8
Sort 5, -2/87, -1 in ascending order.
-1, -2/87, 5
Sort -5, 3, 49, 2 in descending order.
49, 3, 2, -5
Sort -1, 11/5, -18, 0.1, 1 in increasing order.
-18, -1, 0.1, 1, 11/5
Put 13, -4, 0, -5, 11 in descending order.
13, 11, 0, -4, -5
Put -2, 363, -1, 0 in decreasing order.
363, 0, -1, -2
Sort -0.3, -2/3, -20 in ascending order.
-20, -2/3, -0.3
Put 2, 193, -7 in decreasing order.
193, 2, -7
Sort -1, -5, -7/10, 1/6, 19/4.
-5, -1, -7/10, 1/6, 19/4
Sort 46, -2, 1.
-2, 1, 46
Put 1, 5, -3, 42 in descending order.
42, 5, 1, -3
Put 2, -12, 0, -5, 1 in descending order.
2, 1, 0, -5, -12
Sort -4, -2, 26 in ascending order.
-4, -2, 26
Sort -0.1, 2/11, -7.9, 3/7, -6 in ascending order.
-7.9, -6, -0.1, 2/11, 3/7
Sort -5, 382, -1, 3, 1 in descending order.
382, 3, 1, -1, -5
Sort -3, -1, 257, -0.1 in descending order.
257, -0.1, -1, -3
Put 10, 1/3, 37.3 in descending order.
37.3, 10, 1/3
Sort -263, -3, 0, 4 in descending order.
4, 0, -3, -263
Put -4, 4, -119, 2, 16 | {
"pile_set_name": "DM Mathematics"
} |
0.022*-232.5.
-5.115
Multiply -413 and 232.
-95816
Multiply 39136 and -0.2.
-7827.2
-20488 times 13
-266344
2*22759
45518
What is -0.01 times -27.62?
0.2762
19 * -0.15267
-2.90073
Work out 3 * -76045.
-228135
-0.05*0.05031
-0.0025155
-160.962 times 4
-643.848
What is 831 times 345?
286695
5 * -0.943359
-4.716795
-0.04*26616
-1064.64
What is the product of -4.55294 and -1?
4.55294
Work out 966 * 40.
38640
0.4*9.2139
3.68556
Multiply 62 and 5369.
332878
0.445 times 153
68.085
What is 311561 times -0.1?
-31156.1
Multiply -30 and 458.1.
-13743
1679403*-2
-3358806
What is -1889 times 130?
-245570
416.3 times -0.4
-166.52
-0.81 * -1.8875
1.528875
What is -110277 times 0.6?
-66166.2
What is the product of 4.1962 and 0.039?
0.1636518
Multiply 45 and -5648.
-254160
-9 * -25613
230517
Product of -126.9 and -22.6.
2867.94
What is 4 times -636.045?
-2544.18
Product of -0.2 and -12316.
2463.2
What is the product of 20.75 and 205?
4253.75
What is 64833 times -1?
-64833
16441 times 0.184
3025.144
Work out 4 * 922.655.
3690.62
-0.1779*-85
15.1215
Calculate -214*-0.053.
11.342
Work out 20133 * -0.4.
-8053.2
What is -4136030 times 0.5?
-2068015
Product of 0.3 and -9141.
-2742.3
What is the product of 3607 and 0.6?
2164.2
Work out 14 * -192754.
-2698556
What is -35 times -1409?
49315
6.79*-8.7
-59.073
What is the product of -1750 and 0.142?
-248.5
241.3*-0.05
-12.065
Multiply 152771 and 0.3.
45831.3
What is the product of 11 and 418478?
4603258
Calculate 0.08*-0.2729.
-0.021832
Multiply 4 and -3853.
-15412
Multiply -16 and 3604.
-57664
Calculate 2*20.418.
40.836
Multiply -0.027 and -6.78.
0.18306
Product of -16 and -76852.
1229632
What is the product of -4 and 402.967?
-1611.868
What is the product of -52947.2 and 5?
-264736
Multiply -1701.41 and -4.
6805.64
What is 953038 times 0.1?
95303.8
54*-149.7
-8083.8
Multiply -0.33 and 39.15.
-12.9195
7 times -0.509
-3.563
Work out 217180 * -0.05.
-10859
Calculate -53887*0.3.
-16166.1
What is the product of 0.2 and -0.36?
-0.072
-386 * 2.015
-777.79
What is 2.2 times 2.78?
6.116
Multiply -1 and 9170.
-9170
Multiply 0.02 and -9656.
-193.12
What is the product of 8192.2 and 0.07?
573.454
Calculate 0.078732*-0.04.
-0.00314928
Calculate -0.02*43.78.
-0.8756
4 * -74421
-297684
-0.834757*0
0
-4 * 0.01045
-0.0418
24 times -0.043
-1.032
Calculate 0.146024*-8.
-1.168192
-0.15 times -3207
481.05
What is the product of 0.2 and 18.3?
3.66
What is -0.3 times -0.9641?
0.28923
Calculate -0.14*1.933.
-0.27062
0.0623 * 19
1.1837
Product of 46602 and -5.
-233010
172 times 1672.9
287738.8
Product of 0.4 and 17991.
7196.4
What is the product of -237 and -0.1?
23.7
Multiply -1.2 and -73453.
88143.6
Product of -6.7 and -3040.
20368
-0.2 * 18828
-3765.6
Multiply 3069 and 0.07.
214.83
-0.3 * 191744
-57523.2
-0.77917 * 0.3
-0.233751
Calculate -333092*-1.
333092
-0.003 times 1.51
-0.00453
35.3 * 0.036
1.2708
What is the product of 0.4 and 66720?
26688
-686 times 704.2
-483081.2
Calculate 31.3*-54.3.
-1699.59
Calculate 0.112949*-0.09.
-0.01016541
7494 times -0.2
-1498.8
What is 7.83702 times 5?
39.1851
Product of 0.5 and -86.85.
-43.425
-362*21.8
-7891.6
0.02407*-708
-17.04156
-1064980*0.4
-425992
What is the product of -2.4 and -623?
1495.2
10.4341 times -5
-52.1705
Calculate 397*-178.
-70666
-44.5*8226
-366057
Work out -0.5 * 100770.
-50385
What is the product of 3.5671 and 4?
14.2684
Work out -0.3 * 127577.
-38273.1
What is the product of 50477 and 9?
454293
14.0676 * 4
56.2704
6007*15
90105
Work out 1.42 * -8687.
-12335.54
What is -1.2 times -5139?
6166.8
11475 times -11
-126225
Calculate 16*-1.45.
-23.2
Multiply 0.275 and -1.5741.
-0.4328775
Calculate -204991*-1.
204991
Work out -905461 * -7.
6338227
What is the product of -0.7 and 0.60441?
-0.423087
What is 126965 times -1?
-126965
39.7*0.24
9.528
Product of -0.011 and 6.4.
-0.0704
What is 492 times 4.4?
2164.8
1044867*0.4
417946.8
What is 23.486 times -18?
-422.748
Work out 51472 * -1.
-51472
-53386 times 7
-373702
What is the product of 98027 and 0?
0
-659*-21.7
14300.3
-3.016 times 0.936
-2.822976
Multiply -5.004 and -0.2.
1.0008
What is 52875 times -7?
-370125
Work out 49.672 * 0.042.
2.086224
What is the product of 3872 and -913?
-3535136
Product of -3.56066 and 2.
-7.12132
-1 * -5498
5498
Multiply 1176.9 and 0.3.
353.07
Work out 0.0477 * -191.
-9.1107
3274 * -0.099
-324.126
0.4311*-0.249
-0.1073439
Work out 83721 * -36.
-3013956
What is the product of 0.935 and -28.2?
-26.367
What is 7 times -10781?
-75467
Product of -0.2 and 664995.
-132999
Multiply 17895 and -0.8.
-14316
Multiply -2 and -327.97.
655.94
Multiply -0.1 and -675.87.
67.587
-760.1 times -8
6080.8
0.01 * 4417
44.17
40*-16.4
-656
Calculate -0.0373*-127.
4.7371
Work out 0.75 * 1.426.
1.0695
-21 * -635.5
13345.5
Product of 0.07 and 12833.
898.31
What is 1.5 times -36152.3?
-54228.45
661.69*-2.5
-1654.225
Product of -2.7973 and 4.
-11.1892
Work out 16242.9 * -13.
-211157.7
What is -13 times 29317?
-381121
What is the product of 347 and 783?
271701
Multiply 24 and -10730.
-257520
Product of 1735.417 and 0.2.
347.0834
Work out 35755 * -8.
-286040
What is -97904 times -6?
587424
Work out -0.4215 * 0.97.
-0.408855
32 times 0.0469
1.5008
What is 131882 times -0.3?
-39564.6
4 * 106161
424644
-0.09 times 10.5745
-0.951705
-4003.18 * 5
-20015.9
-1.3 * 136783
-177817.9
What is the product of 0.3 and -202215?
-60664.5
Work out 17.4 * -143.77.
-2501.598
-21226.6*0.3
-6367.98
Calculate -1*3936.
-3936
Work out -0.5 * -3451.
1725.5
Work out -520 * 0.00801.
-4.1652
Work out 2.1 * 0.24823.
0.521283
What is -0.6 times 11.082?
-6.6492
93.09 * -1.6
-148.944
53462.6 times -0.3
-16038.78
3 times 16878
50634
-5*-45344
226720
Multiply -7813 and 0.4.
-3125.2
Calculate 28254*0.4.
11301.6
293492 times -0.01
-2934.92
1 times 0.176
0.176
Calculate 5.7*371.6.
2118.12
Product of 26 and 348.
9048
What is 6.7 times 0.167?
1.1189
Calculate 0.1529*-15.
-2.2935
Multiply 1.8 and -477.
-858.6
Multiply -1298 and -1.83.
2375.34
Multiply 0.1 and 49418.
4941.8
6509327 * 4
26037308
Product of 0.137353 and 0.5.
0.0686765
-4625 times -0.05
231.25
-285734 times 0.1
-28573.4
Work out -640 * -11319.
7244160
Product of 4609 and -202.
-931018
What is 0.89 times -0.1499?
-0.133411
6705.5*0.1
670.55
Multiply 138.338 and -0.1.
-13.8338
Product of 99607 and -0.7.
-69724.9
What is -14193 times -0.03?
425.79
Multiply 26 and 1580.
41080
0 * 9037.2
0
Calculate 0.3316*59.
19.5644
-686314 times -5
3431570
Product of -0.1 and 0.9126.
-0.09126
Calculate 0*0.0672773.
0
-0.1*6421
-642.1
Multiply 75 and 2959.
221925
Product of 35.2695 and -0.2.
-7.0539
Multiply -2 and -64164.
128328
What is 251 times -621.8?
-156071.8
Multiply 1.421 and 36.
51.156
Multiply 5 and 20128.
100640
Work out 259704 * 4.
1038816
-1138 * 191
-217358
What is the product of 0.5 and 1768.989?
884.4945
Work out 0.5 * -210234.
-105117
What is the product of 1 and 18825?
18825
Product of -77.16 and -129.
9953.64
Calculate 9.421*35.
329.735
What is 16121 times -1.1?
-17733.1
-235.66*-4
942.64
Calculate 7113*2.
14226
What is the product of -17 and 0.0849?
-1.4433
What is the product of -795 and 0.03?
-23.85
0 times 2.2886
0
Multiply 516 and 10.1.
5211.6
What is 19944.2 times -0.03?
-598.326
Multiply 156521 and 0.3.
46956.3
0.3*30467
9140.1
Multiply 4 and 77395.
309580
0.102 times -0.985
-0.10047
Calculate 0.02*16768.
335.36
Multiply 2675 and 19.
50825
What is 42432 times 0.28?
11880.96
Calculate -0.75616*-0.2.
0.151232
1877079 times -2
-3754158
4830 * 0.12
579.6
Work out 0.3 * -257.
-77.1
Multiply -1 and 99755.
-99755
Work out -160 * 376.
-60160
What is the product of -0.288942 and 5?
-1.44471
-0.42099 times 0.3
-0.126297
-0.899*0.05
-0.04495
-45*6972
-313740
Calculate -0.5347701*0.4.
-0.21390804
4*5767
23068
What is 75 times -0.413?
-30.975
-29.54*0.43
-12.7022
2.245*0.209
0.469205
What is -0.5 times -0.13726?
0.06863
Work out -134 * 1124.
-150616
Calculate -0.1493*-0.02.
0.002986
Work out 2.6314 * -2.
-5.2628
What is the product of -0.455266 and 0.4?
-0.1821064
What is the product of -34 and -0.2122?
7.2148
What is the product of 1.2 and -4.73?
-5.676
0.1279*-0.033
-0.0042207
Product of 0.762 and -39.
-29.718
139.5 * 10.5
1464.75
Multiply 17479.7 and -2.
-34959.4
Product of -13 and -170573.
2217449
What is -9 times | {
"pile_set_name": "DM Mathematics"
} |
a factor of 44505342?
True
Is 182046728 a multiple of 54?
False
Does 20 divide 67569469?
False
Is 398 a factor of 2555673484?
False
Does 818 divide 122335585?
False
Is 27 a factor of 137532513?
False
Does 18 divide 164754648?
True
Does 67 divide 30257682?
False
Does 402 divide 161903892?
True
Is 439037160 a multiple of 40?
True
Does 7 divide 44853585?
True
Does 20 divide 13830868?
False
Is 11 a factor of 47152093?
False
Is 3 a factor of 119382?
True
Does 19 divide 4432826?
False
Is 760033368 a multiple of 1314?
True
Is 22345536 a multiple of 147?
False
Is 10 a factor of 1087940?
True
Does 2103 divide 308939112?
True
Does 785 divide 3013959558?
False
Is 1392 a factor of 130232736?
True
Does 26 divide 278044?
True
Does 1757 divide 1991165932?
True
Does 65 divide 2134432537?
False
Is 47000140 a multiple of 110?
True
Is 6837933 a multiple of 3?
True
Is 15871492 a multiple of 14?
True
Is 1890994 a multiple of 133?
True
Is 225833895 a multiple of 63?
True
Is 1783534217 a multiple of 53?
True
Is 5 a factor of 40117235?
True
Is 15 a factor of 68676574?
False
Is 297680443 a multiple of 59?
False
Is 17 a factor of 53575417?
False
Is 2084880 a multiple of 39?
False
Does 11 divide 846176672?
True
Is 3294665 a multiple of 37?
True
Is 15989097 a multiple of 503?
False
Does 7544 divide 1916587558?
False
Does 513 divide 29427219?
True
Is 1059 a factor of 119274111?
True
Is 792 a factor of 153406636?
False
Does 4130 divide 61539481?
False
Does 284 divide 24262317?
False
Does 2664 divide 519836905?
False
Is 4 a factor of 1523361?
False
Does 18 divide 72748866?
False
Is 73241875 a multiple of 83?
False
Does 13 divide 614292094?
True
Is 47173056 a multiple of 232?
False
Is 72955042 a multiple of 230?
False
Does 21 divide 33844944?
True
Is 33604325 a multiple of 17?
True
Does 16 divide 439681?
False
Is 5941246 a multiple of 302?
True
Is 158444748 a multiple of 6?
True
Is 496 a factor of 62805504?
True
Is 255731749 a multiple of 633?
False
Is 76592097 a multiple of 40?
False
Is 14 a factor of 1344428596?
True
Does 5 divide 85667537?
False
Is 13470452 a multiple of 382?
False
Is 44 a factor of 802748408?
True
Is 23 a factor of 349014696?
True
Does 1772 divide 1579720280?
True
Does 86 divide 176119142?
True
Does 21 divide 579849240?
False
Is 19986831 a multiple of 898?
False
Is 14653388 a multiple of 1907?
True
Is 141 a factor of 1306326614?
False
Is 44308218 a multiple of 1636?
False
Does 220 divide 860706880?
True
Is 4747420 a multiple of 28?
False
Is 290642670 a multiple of 9?
True
Does 2 divide 56398421?
False
Does 382 divide 75466847?
False
Does 60 divide 109805760?
True
Is 426731144 a multiple of 644?
True
Does 244 divide 1969158290?
False
Is 255 a factor of 1317616875?
True
Is 48 a factor of 7232333?
False
Does 7 divide 333832576?
True
Is 26 a factor of 214618882?
False
Does 115 divide 29073205?
False
Is 1481803585 a multiple of 1094?
False
Is 217873794 a multiple of 20?
False
Is 1098807566 a multiple of 23?
True
Is 2878720 a multiple of 32?
True
Is 17647598 a multiple of 1649?
True
Does 87 divide 229103568?
False
Does 3676 divide 2264166825?
False
Is 39 a factor of 2868783645?
True
Is 90 a factor of 260770337?
False
Is 106 a factor of 142465908?
True
Does 1321 divide 11051486?
True
Does 1168 divide 71861888?
False
Is 169 a factor of 1954011160?
False
Is 16 a factor of 21290601?
False
Is 39083648 a multiple of 116?
True
Is 152 a factor of 23201410?
False
Is 20 a factor of 751946320?
True
Is 77 a factor of 1639322052?
False
Is 4 a factor of 7716776?
True
Is 69822363 a multiple of 2213?
True
Is 30 a factor of 63583195?
False
Is 30104567 even?
False
Does 2 divide 2834006?
True
Does 6 divide 122742189?
False
Is 79 a factor of 46939598?
False
Does 79 divide 158296356?
False
Is 6294 a factor of 1674191412?
True
Is 5822114 a multiple of 50?
False
Does 779 divide 172175359?
True
Does 177 divide 10750272?
True
Is 931996578 a multiple of 7?
False
Does 896 divide 24936576?
True
Does 135 divide 13784580?
True
Is 52 a factor of 39219706?
False
Is 150 a factor of 50946150?
True
Is 878839434 a multiple of 18?
True
Is 794027382 a multiple of 137?
False
Does 48 divide 35838983?
False
Does 39 divide 54735321?
False
Is 1131 a factor of 103079340?
True
Does 176 divide 47936787?
False
Is 9286880 a multiple of 37?
False
Is 1754142804 a multiple of 172?
False
Is 798 a factor of 102543798?
True
Is 27 a factor of 48465246?
False
Is 185 a factor of 51064625?
True
Is 60982767 a multiple of 11?
False
Does 139 divide 33900015?
True
Is 3215 a factor of 3967435385?
True
Is 419 a factor of 33691399?
False
Is 1071 a factor of 33818823?
False
Does 5 divide 88481295?
True
Is 36605235 a multiple of 255?
False
Is 152 a factor of 106138470?
False
Is 67238138 a multiple of 2391?
False
Is 292 a factor of 2569536?
False
Is 950843439 a multiple of 403?
True
Is 92378791 a multiple of 43?
False
Does 919 divide 1437614893?
False
Is 186 a factor of 9440058?
True
Is 25501360 a multiple of 136?
True
Does 16 divide 214878400?
True
Is 3 a factor of 8641839?
True
Is 4980 a factor of 490953209?
False
Does 350 divide 9428882?
False
Is 17 a factor of 211158241?
True
Is 304 a factor of 76091200?
True
Is 11300165 a multiple of 3?
False
Does 11 divide 1189543960?
True
Is 134310766 a multiple of 166?
True
Is 2217650526 a multiple of 294?
True
Is 57140988 a multiple of 3?
True
Does 55 divide 2414275820?
True
Is 64 a factor of 11979328?
True
Is 1427671621 a multiple of 71?
True
Is 70478005 a multiple of 35?
False
Is 651 a factor of 8923364?
False
Is 8551996094 a multiple of 672?
False
Is 661974 a multiple of 23?
False
Is 1150 a factor of 9226450?
True
Does 14 divide 1650111844?
False
Is 4 a factor of 292255272?
True
Is 160 a factor of 28814385?
False
Does 231 divide 31271394?
True
Is 171 a factor of 190262682?
False
Is 948326115 a multiple of 5209?
False
Is 288211704 a multiple of 985?
False
Is 13 a factor of 254667985?
True
Is 142 a factor of 1325498?
False
Is 46 a factor of 2569518?
False
Is 3774 a factor of 213763134?
True
Is 59307571 a multiple of 1187?
False
Is 50934611 a multiple of 1691?
True
Does 14 divide 2595254?
False
Is 975655954 a multiple of 2401?
True
Is 534 a factor of 36699666?
False
Is 889 a factor of 1229767272?
False
Is 3851784595 a multiple of 10?
False
Is 93 a factor of 52513194?
True
Does 14 divide 38436748?
True
Is 1161714984 a multiple of 85?
False
Is 4797082 a multiple of 82?
True
Is 2449 a factor of 1664764077?
True
Is 23365235 a multiple of 253?
False
Is 407515185 a multiple of 1791?
True
Does 847 divide 3463098408?
True
Is 12 a factor of 1463963184?
True
Does 1159 divide 25897399?
False
Does 93 divide 19454019?
True
Does 38 divide 111274184?
True
Is 59918007 a multiple of 2657?
True
Is 18 a factor of 362940115?
False
Does 21 divide 1697392?
False
Is 19 a factor of 2615915584?
False
Is 6095064332 a multiple of 49?
True
Is 719315536 a multiple of 3957?
False
Does 685 divide 215494589?
False
Is 148 a factor of 9974990?
False
Does 53 divide 2363393?
False
Does 415 divide 5318585?
False
Is 988 a factor of 19046273?
False
Is 171577176 a multiple of 232?
False
Is 120 a factor of 82783920?
True
Is 10638870 a multiple of 2?
True
Is 1302998410 a multiple of 70?
True
Is 525457394 a multiple of 22?
True
Is 119125891 a multiple of 248?
False
Does 130 divide 111032495?
False
Is 16 a factor of 7016192?
True
Is 50 a factor of 158425600?
True
Does 5 divide 1338671535?
True
Is 11410 a factor of 4756635030?
True
Is 4828840 a multiple of 20?
True
Is 120462848 a multiple of 1168?
True
Is 1307744722 a multiple of 218?
True
Does 2263 divide 1391230835?
False
Is 135126814 a multiple of 1982?
True
Is 114 a factor of 7881989?
False
Is 954708183 a multiple of 39?
True
Does 86 divide 908413194?
False
Is 3577335552 a multiple of 16?
True
Is 51 a factor of 7402956?
True
Is 47 a factor of 778132?
True
Is 17577755 a multiple of 331?
True
Does 1208 divide 25724422?
False
Does 516 divide 94667424?
True
Does 202 divide 1134442504?
True
Is 110 a factor of 1259842798?
False
Is 161230923 a multiple of 1421?
True
Is 578 a factor of 20594556?
False
Does 69 divide 15359761?
False
Is 191 a factor of 27744278?
True
Does 1639 divide 4573920?
False
Is 37 a factor of 29607067?
True
Is 571430175 a multiple of 15?
True
Does 670 div | {
"pile_set_name": "DM Mathematics"
} |
5, -1207397, -2146467, -3353829, -4829477, -6573405, -8585607?
f**3 - 134158*f**2 - f + 1
What is the t'th term of 3375, 9586, 15795, 22002, 28207, 34410, 40611?
-t**2 + 6214*t - 2838
What is the z'th term of -13264, -13592, -14122, -14854, -15788, -16924, -18262?
-101*z**2 - 25*z - 13138
What is the m'th term of 6115, 12212, 18269, 24268, 30191, 36020, 41737?
-3*m**3 - 2*m**2 + 6124*m - 4
What is the o'th term of -1487, -1091, 29, 2233, 5881, 11333?
60*o**3 + 2*o**2 - 30*o - 1519
What is the o'th term of -6534, -12889, -19056, -25023, -30778, -36309?
2*o**3 + 82*o**2 - 6615*o - 3
What is the q'th term of 21388, 21437, 21528, 21655, 21812, 21993, 22192?
-q**3 + 27*q**2 - 25*q + 21387
What is the j'th term of 161557, 161630, 161703, 161776, 161849, 161922?
73*j + 161484
What is the k'th term of 614, 1394, 2694, 4514, 6854?
260*k**2 + 354
What is the v'th term of 465133, 929536, 1393939?
464403*v + 730
What is the d'th term of 49251, 49152, 48987, 48756?
-33*d**2 + 49284
What is the q'th term of 9899, 98716, 345357, 828734, 1627759?
13152*q**3 - 3247*q - 6
What is the a'th term of 120449, 240908, 361381, 481868, 602369, 722884, 843413?
7*a**2 + 120438*a + 4
What is the c'th term of 5527, 33930, 81267, 147538, 232743?
9467*c**2 + 2*c - 3942
What is the o'th term of -72, -297, -640, -1071, -1560, -2077?
5*o**3 - 89*o**2 + 7*o + 5
What is the s'th term of 315815, 315803, 315791?
-12*s + 315827
What is the d'th term of 3986, 3526, 2752, 1658, 238, -1514?
-d**3 - 151*d**2 + 4138
What is the h'th term of 247556, 990169, 2227842, 3960575?
247530*h**2 + 23*h + 3
What is the d'th term of 496439, 496051, 495405, 494501, 493339?
-129*d**2 - d + 496569
What is the i'th term of 597, 2295, 5175, 9279, 14649?
7*i**3 + 549*i**2 + 2*i + 39
What is the w'th term of 4984, 5841, 6700, 7561?
w**2 + 854*w + 4129
What is the a'th term of -168654, -337338, -506022, -674706?
-168684*a + 30
What is the w'th term of 2708, 2090, 1474, 860, 248?
w**2 - 621*w + 3328
What is the u'th term of -9773761, -9773770, -9773793, -9773836, -9773905?
-u**3 - u**2 + u - 9773760
What is the s'th term of 1223, 3035, 5439, 8435, 12023, 16203, 20975?
296*s**2 + 924*s + 3
What is the z'th term of 297, 560, 797, 1002, 1169?
-z**3 - 7*z**2 + 291*z + 14
What is the f'th term of -3234685, -3234302, -3233917, -3233530?
f**2 + 380*f - 3235066
What is the g'th term of -2067, -2080, -2089, -2088, -2071, -2032, -1965?
g**3 - 4*g**2 - 8*g - 2056
What is the g'th term of 313355, 313364, 313365, 313358?
-4*g**2 + 21*g + 313338
What is the g'th term of 2550, 12934, 30240, 54468?
3461*g**2 + g - 912
What is the j'th term of 9630376, 19260768, 28891160, 38521552, 48151944?
9630392*j - 16
What is the c'th term of 3453, 12628, 27519, 48126, 74449, 106488?
2858*c**2 + 601*c - 6
What is the z'th term of -485796, -971593, -1457390, -1943187, -2428984, -2914781?
-485797*z + 1
What is the s'th term of 93595, 187178, 280749, 374308, 467855, 561390?
-6*s**2 + 93601*s
What is the p'th term of 680, 2947, 6528, 11261, 16984?
-27*p**3 + 819*p**2 - p - 111
What is the a'th term of -18562, -18582, -18602, -18622, -18642?
-20*a - 18542
What is the p'th term of 9053, 71960, 242571, 574736, 1122305, 1939128?
8975*p**3 + 2*p**2 + 76*p
What is the k'th term of -48, -627, -1772, -3471, -5712, -8483, -11772, -15567?
2*k**3 - 295*k**2 + 292*k - 47
What is the j'th term of -180086913, -180086915, -180086917?
-2*j - 180086911
What is the w'th term of -809, -3423, -7729, -13727, -21417, -30799?
-846*w**2 - 76*w + 113
What is the x'th term of 8568, 8633, 8692, 8745, 8792?
-3*x**2 + 74*x + 8497
What is the z'th term of 894096, 893199, 892302, 891405, 890508?
-897*z + 894993
What is the j'th term of -251190665, -251190663, -251190661?
2*j - 251190667
What is the j'th term of -678, -1067, -1742, -2697, -3926?
j**3 - 149*j**2 + 51*j - 581
What is the s'th term of 1962162, 7848679, 17659542, 31394751, 49054306, 70638207, 96146454?
1962173*s**2 - 2*s - 9
What is the f'th term of 423366094, 423366097, 423366100?
3*f + 423366091
What is the u'th term of 5525, 11071, 16605, 22121, 27613, 33075, 38501?
-u**3 + 5553*u - 27
What is the w'th term of 94305, 101542, 108779, 116016, 123253?
7237*w + 87068
What is the x'th term of 5857621, 5857640, 5857669, 5857714, 5857781, 5857876, 5858005?
x**3 - x**2 + 15*x + 5857606
What is the x'th term of 2026, 3981, 5842, 7579, 9162, 10561, 11746?
-5*x**3 - 17*x**2 + 2041*x + 7
What is the n'th term of -7610652, -7610649, -7610646, -7610643?
3*n - 7610655
What is the y'th term of -1775, -2209, -3353, -5561, -9187, -14585?
-59*y**3 - y**2 - 18*y - 1697
What is the z'th term of 50, 288, 564, 878, 1230, 1620?
19*z**2 + 181*z - 150
What is the z'th term of 1674, 6726, 15946, 29988, 49506?
109*z**3 + 1430*z**2 - z + 136
What is the n'th term of 16488, 16336, 16180, 16020, 15856?
-2*n**2 - 146*n + 16636
What is the l'th term of -3285, -4650, -6013, -7374, -8733, -10090?
l**2 - 1368*l - 1918
What is the w'th term of 2474807, 2474810, 2474813, 2474816, 2474819?
3*w + 2474804
What is the l'th term of -4141352, -8282698, -12424044?
-4141346*l - 6
What is the z'th term of -819345, -819270, -819197, -819126, -819057?
-z**2 + 78*z - 819422
What is the u'th term of -2803804, -5607630, -8411456, -11215282, -14019108, -16822934?
-2803826*u + 22
What is the u'th term of -311010, -311017, -311036, -311067, -311110, -311165?
-6*u**2 + 11*u - 311015
What is the t'th term of 207, 548, 1021, 1626?
66*t**2 + 143*t - 2
What is the o'th term of -4642, -18244, -40296, -70288, -107710?
85*o**3 - 4735*o**2 + 8*o
What is the h'th term of -169745, -169865, -169985, -170105, -170225?
-120*h - 169625
What is the t'th term of -622334, -622398, -622462, -622526, -622590?
-64*t - 622270
What is the f'th term of -192102, -384282, -576462, -768642, -960822, -1153002?
-192180*f + 78
What is the r'th term of -967382, -3869562, -8706546, -15478334?
-967402*r**2 + 26*r - 6
What is the a'th term of 108, -173, -554, -963, -1328, -1577, -1638?
12*a**3 - 122*a**2 + a + 217
What is the x'th term of 1328264, 2656437, 3984612, 5312789?
x**2 + 1328170*x + 93
What is the q'th term of -1641, -1094, 395, 3300, 8095, 15254, 25251, 38560?
79*q**3 - 3*q**2 + 3*q - 1720
What is the f'th term of -743, 1138, 4273, 8662, 14305?
627*f**2 - 1370
What is the l'th term of 5614, 9298, 13032, 16822, 20674, 24594, 28588, 32662?
l**3 + 19*l**2 + 3620*l + 1974
What is the f'th term of 6794, 6675, 6426, 6041, 5514, 4839?
-f**3 - 59*f**2 + 65*f + 6789
What is the g'th term of -47732, -190834, -429332, -763226, -1192516, -1717202, -2337284?
-47698*g**2 - 8*g - 26
What is the p'th term of -8077, -16194, -24329, -32482, -40653, -48842, -57049?
-9*p**2 - 8090*p + 22
What is the f'th term of 5149, 4689, 4279, 3919, 3609?
25*f**2 - 535*f + 5659
What is the m'th term of -5858089, -5858091, -5858093?
-2*m - 5858087
What is the k'th term of -12298688, -12298691, -12298694, -12298697, -12298700?
-3*k - 12298685
What is the h'th term of 40718, 40662, 40606, 40550, 40494?
-56*h + 40774
What is the l'th term of 7899, 14844, 21789?
6945*l + 954
What is the r'th term of -520763, -520894, -521021, -521144, -521263, -521378?
2*r**2 - 137*r - 520628
What is the g'th term of 14046, 22729, 31412, 40095?
8683*g + 5363
What is the s'th term of -5782, -9471, -13160?
-3689*s - 2093
What is the k'th term of -193556, -774205, -1741954, -3096803, -4838752, -6967801?
-193550*k**2 + k - 7
What is the x'th term of 14918, 12362, 9808, 7256, 4706, 2158, -388?
x**2 - 2559*x + 17476
What is the j'th term of 3326412, 6652822, 9979224, 13305618, 16632004, 19958382, 23284752?
-4*j**2 + 3326422*j - 6
What is the i'th term of -1924, -6445, -13980, -24529, -38092?
-1507*i**2 - 417
What is the v'th term of -5531601, -11063078, -16594553, -22126026, -27657497?
v**2 - 5531480*v - 122
What is the l'th term of -21418, -42669, -63756, -84679, -105438, -126033, -146464?
82*l**2 - 21497*l - 3
What is the y'th term of 1377149, 2754220, 4131291, 5508362, 6885433, 8262504?
1377071*y + 78
What is the c'th term of 364, 1099, 2474, 4753, 8200, 13079, 19654, 28189?
44*c**3 + 56*c**2 + 259*c + 5
What is the l'th term of 7172, 7168, 7216, 7316, 7468?
26*l**2 - 82*l + 7228
What is the u'th term of 421, -437, -2555, -5939, -10595 | {
"pile_set_name": "DM Mathematics"
} |
of a milligram?
240
How many months are there in thirty-one halves of a century?
18600
How many minutes are there in 19.677702 nanoseconds?
0.0000000003279617
How many meters are there in 3/50 of a kilometer?
60
Convert 29.85682ml to litres.
0.02985682
What is 3/8 of a tonne in kilograms?
375
How many millilitres are there in 9.587112 litres?
9587.112
How many kilograms are there in six fifths of a tonne?
1200
What is seven halves of a decade in months?
420
How many micrograms are there in 27/5 of a milligram?
5400
What is 28/9 of a week in minutes?
31360
How many minutes are there in 16/15 of a week?
10752
How many centimeters are there in three tenths of a kilometer?
30000
What is 5175.363nm in meters?
0.000005175363
What is one fifth of a millennium in years?
200
Convert 863066.8 decades to centuries.
86306.68
What is 9/10 of a kilogram in grams?
900
How many months are there in 11/4 of a year?
33
How many weeks are there in 942.57324 seconds?
0.0015584875
What is one sixteenth of a week in seconds?
37800
What is eight thirds of a year in months?
32
What is 1/10 of a gram in milligrams?
100
How many seconds are there in 5882.362 weeks?
3557652537.6
Convert 125042.1 minutes to hours.
2084.035
How many years are there in 6/25 of a millennium?
240
Convert 1655.6892 months to millennia.
0.1379741
How many years are there in 329.903 decades?
3299.03
Convert 825165.8ug to milligrams.
825.1658
What is 16.83711 meters in nanometers?
16837110000
What is twenty-nine fifths of a litre in millilitres?
5800
What is three eighths of a gram in milligrams?
375
How many millilitres are there in 0.0840233 litres?
84.0233
What is seven quarters of a litre in millilitres?
1750
Convert 0.9886635nm to micrometers.
0.0009886635
How many nanoseconds are there in 0.5240679 hours?
1886644440000
How many millilitres are there in 513.6235 litres?
513623.5
What is 7/2 of a century in months?
4200
What is fifteen quarters of a litre in millilitres?
3750
Convert 0.8853355 decades to millennia.
0.008853355
What is sixty-two thirds of a decade in months?
2480
How many centuries are there in 13/5 of a millennium?
26
How many decades are there in six fifths of a century?
12
How many millilitres are there in 3/25 of a litre?
120
What is three fifths of a milligram in micrograms?
600
How many centimeters are there in 76127.16mm?
7612.716
What is one sixteenth of a century in months?
75
Convert 5.803813 kilograms to nanograms.
5803813000000
How many seconds are there in 1/96 of a day?
900
How many months are there in 49.00329 centuries?
58803.948
What is 1642.584069ms in weeks?
0.0000027159128125
What is 29.95545nm in centimeters?
0.000002995545
How many micrograms are there in 3/8 of a milligram?
375
What is 3/40 of a millisecond in nanoseconds?
75000
Convert 556400.3nm to centimeters.
0.05564003
What is 5/8 of a kilometer in meters?
625
What is seven halves of a litre in millilitres?
3500
What is 911940.3l in millilitres?
911940300
Convert 5470.653 kilometers to centimeters.
547065300
How many micrograms are there in 11163.84 nanograms?
11.16384
Convert 9895.82ml to litres.
9.89582
How many millilitres are there in 939.3892 litres?
939389.2
What is 7177.147 days in milliseconds?
620105500800
What is one twentieth of a litre in millilitres?
50
How many centuries are there in 1.7775906 months?
0.0014813255
How many months are there in 23/3 of a century?
9200
How many litres are there in 394985.2 millilitres?
394.9852
How many litres are there in 4388.607ml?
4.388607
What is 231.3366 millilitres in litres?
0.2313366
Convert 25.28061 centimeters to meters.
0.2528061
Convert 80124.75 milliseconds to hours.
0.022256875
How many litres are there in 749.2305ml?
0.7492305
What is 8/7 of a week in hours?
192
How many nanometers are there in three eighths of a micrometer?
375
Convert 112857.42 months to decades.
940.4785
How many months are there in 45/4 of a year?
135
How many millennia are there in 693.2562 centuries?
69.32562
What is 5.30701 decades in centuries?
0.530701
What is fifty-one fifths of a gram in milligrams?
10200
How many millilitres are there in twenty-one eighths of a litre?
2625
What is 29/5 of a minute in seconds?
348
How many milligrams are there in 283961.7 kilograms?
283961700000
Convert 3692.311km to centimeters.
369231100
Convert 208025.31 months to decades.
1733.54425
How many litres are there in 87.17909 millilitres?
0.08717909
How many minutes are there in one eighteenth of a week?
560
What is twenty-six fifths of a kilogram in grams?
5200
What is sixty-four fifths of a millennium in years?
12800
What is 52/5 of a kilogram in grams?
10400
How many minutes are there in 3/8 of a day?
540
What is 51.64298 micrograms in nanograms?
51642.98
What is three eighths of a gram in milligrams?
375
What is 0.984994 nanoseconds in microseconds?
0.000984994
What is 19/4 of a litre in millilitres?
4750
What is 1/5 of a millennium in months?
2400
What is 1/20 of a meter in centimeters?
5
How many micrograms are there in one sixteenth of a gram?
62500
What is 5/8 of a kilogram in grams?
625
What is seven quarters of a decade in months?
210
What is one tenth of a kilogram in grams?
100
What is 704025.63ns in hours?
0.000000195562675
Convert 56.7836955 minutes to weeks.
0.005633303125
How many months are there in one fifteenth of a decade?
8
What is 42847.14um in nanometers?
42847140
What is three tenths of a gram in milligrams?
300
What is 0.3920361 millilitres in litres?
0.0003920361
How many microseconds are there in fourty-five halves of a millisecond?
22500
How many micrometers are there in 3/50 of a meter?
60000
How many meters are there in fifty-seven fifths of a kilometer?
11400
How many seconds are there in sixty-five thirds of a minute?
1300
What is five eighths of a litre in millilitres?
625
How many minutes are there in 10/9 of a week?
11200
What is 51.9692ug in kilograms?
0.0000000519692
Convert 1.279429 years to centuries.
0.01279429
What is twenty-nine fifths of a hour in seconds?
20880
How many minutes are there in 1/15 of a week?
672
How many nanometers are there in 852.2469 centimeters?
8522469000
What is 2/125 of a litre in millilitres?
16
What is 1/15 of a decade in months?
8
What is five eighths of a milligram in micrograms?
625
How many kilograms are there in 9/10 of a tonne?
900
What is 25/2 of a century in months?
15000
Convert 0.127861 minutes to microseconds.
7671660
Convert 101690.4 minutes to microseconds.
6101424000000
How many months are there in 0.035415 millennia?
424.98
What is 5/4 of a microsecond in nanoseconds?
1250
What is eleven quarters of a microgram in nanograms?
2750
Convert 6.528049cm to millimeters.
65.28049
How many seconds are there in 2/45 of a hour?
160
How many years are there in 60.72054 months?
5.060045
What is 762.2674 years in centuries?
7.622674
What is 61/4 of a millisecond in microseconds?
15250
What is twenty-seven halves of a litre in millilitres?
13500
What is 0.1851347 centimeters in nanometers?
1851347
How many litres are there in 9247.401ml?
9.247401
How many centimeters are there in 3.534814um?
0.0003534814
How many millilitres are there in 530.559 litres?
530559
How many centuries are there in 111.12195 months?
0.092601625
What is 3/40 of a kilometer in meters?
75
How many centimeters are there in 5/4 of a meter?
125
Convert 4690.04km to meters.
4690040
Convert 759596.9 millimeters to centimeters.
75959.69
How many months are there in 5/4 of a year?
15
How many millilitres are there in 13/8 of a litre?
1625
What is 4/3 of a hour in minutes?
80
How many millilitres are there in 0.361606 litres?
361.606
Convert 0.2000265 nanoseconds to seconds.
0.0000000002000265
How many millilitres are there in 53.64998l?
53649.98
Convert 9522.966 nanometers to millimeters.
0.009522966
What is 6.627291 micrograms in tonnes?
0.000000000006627291
What is 3/8 of a tonne in kilograms?
375
How many micrograms are there in 0.2425802t?
242580200000
Convert 75.25833 centuries to decades.
752.5833
How many micrograms are there in 524329.9 tonnes?
524329900000000000
How many millilitres are there in three eighths of a litre?
375
Convert 0.129339 centuries to decades.
1.29339
Convert 3259.403g to milligrams.
3259403
What is 12/25 of a m | {
"pile_set_name": "DM Mathematics"
} |
94. Let d = -1 - u. Which is the closest to 0.1? (a) s (b) d (c) -1
c
Suppose 2*x = -2*z + 6, 3*x = -2*x + 5. Suppose 0*v - 2*j = v - 2, j = -z*v - 2. Which is the closest to -1/7? (a) 4 (b) v (c) -0.1
c
Let y be (64/1120)/(3/15). Which is the nearest to 0? (a) y (b) -4 (c) 5 (d) -1/6
d
Let t = -2.65 + -0.35. Which is the closest to 0? (a) -0.3 (b) 8 (c) t
a
Let o be 7/(-14) + 1 + 2/(-4). Which is the closest to o? (a) -5 (b) -3 (c) -60 (d) -0.5
d
Let p = -0.2567 - 0.0433. Which is the closest to -2? (a) p (b) 1/3 (c) 2
a
Let x = -0.608 + 7.608. What is the closest to -0.3 in 0, x, -2, -4/7?
-4/7
Let z be 26/6 - (-106)/159. Which is the nearest to -1? (a) -1/7 (b) -0.7 (c) z (d) 2
b
Let i = 15.4 - 24.4. Which is the closest to 0.1? (a) i (b) 1/6 (c) 4 (d) -3
b
Let i(c) = -c**3 + c**2 + 2*c + 1. Let n be i(2). Let d be (-13)/(-34) + (-18)/36. What is the nearest to n in -7, d, -0.4?
d
Let y = -172.4 + 174.4. What is the closest to y in -4, -0.5, 5?
-0.5
Let r = 0.9 - 1. Suppose 2*p - 22 = 5*l, -2*l - 24 = -0*p + 3*p. Let o be (-2)/(-4)*8/l. Which is the closest to r? (a) 3 (b) o (c) 2
b
Let y be 1256/(-2983)*2/8*-1. Which is the closest to 0.3? (a) y (b) -11 (c) -4 (d) 0.3
d
Let i be 13/(-52) + (-2)/(-16). Which is the closest to -5? (a) 2/5 (b) -0.02 (c) 5 (d) i
d
Let k = -66.2 - -66. Which is the closest to 1? (a) -0.08 (b) k (c) -1
a
Let s be 134/(-1340) + 17*3/10. What is the closest to 1 in 2, s, -6/11?
2
Let g = -177 + 180. What is the nearest to -2 in -2, g, -37?
-2
Let f be ((-50)/15)/((-4)/6). Let y = 1430 - 1434. Which is the nearest to -0.2? (a) 0.3 (b) f (c) y
a
Let m(l) = -l**3 - l**2 + 4. Let p be m(-2). Suppose 0 = 5*d + p - 3. What is the closest to d in 0, -4, 3?
0
Let r = -0.1 - 0. Let y = -0.1 - r. Let o(t) = -15*t - 1138. Let l be o(-76). What is the nearest to y in 0.3, l, -6/11?
0.3
Let k = -164/385 - -2/77. Let m = -637 + 632. What is the closest to k in -0.1, 3, m?
-0.1
Let x = 4.46 - 4.86. What is the closest to -1/8 in 3/8, x, -1/2, -0.2?
-0.2
Let d = -3.862 + 3.862. Let m = -0.9 + 1. Which is the nearest to m? (a) d (b) 7/4 (c) 1/4
a
Let j = 2835 - 2830. Let u = 0.1 - 0.39. What is the nearest to -1 in -3, u, j?
u
Let t be 19 - 3519/184 - 21/(-8). Let c = 9 - 12.2. Let v = 3 + c. What is the nearest to -1 in v, t, 4?
v
Let u = -13/35 - -3/385. Let a = u + 1/33. Let n be (-2)/(-8) + (-11)/(-4). What is the closest to 0 in a, n, -2?
a
Let k = -329.6 - -305. Let t = k - -25. Which is the closest to 0.05? (a) 0 (b) t (c) 3
a
Let y = -2.9 - -1.9. What is the nearest to y in -1/5, -1/6, 2?
-1/5
Let f = 78 + -78. Let w = 2.3 - -8.7. Let y = 7 - w. Which is the nearest to 0.1? (a) 0.1 (b) y (c) f
a
Let k = 1.1 - 1. Let q be -1 + -1 - (-1 - (2 - 6)). Let p(g) = -g**2 - 3*g + 6. Let c be p(q). What is the closest to 1 in c, -2, k?
k
Let k = 1.7 - 2. Suppose -2*g + 1 = -5. Let w be ((-7)/21)/(1/g). Which is the nearest to w? (a) -0.5 (b) 2 (c) k
a
Let w = -349 - -4539/13. Let p(c) = -c**2 - 14*c - 27. Let n be p(-12). Let m be (6/24)/(n/(-4)). What is the nearest to m in 0, w, 0.5?
0.5
Let y = 6657.3 + -6939. Let x = y - -282. Let m = 0.1 - -0.1. Which is the closest to m? (a) -1/6 (b) -4 (c) x
c
Let h = -34.8 - -34.43. Which is the nearest to h? (a) -1/9 (b) 5 (c) 3/2
a
Let m = -48 + 47.87. Let u = m + 0.03. What is the nearest to 2 in 0.2, -1/7, u?
0.2
Suppose -3*h + 2 = 4*s - 1, 0 = h + 5*s - 1. Let d = 938 + -937.7. Which is the nearest to 0.1? (a) h (b) -2 (c) d
c
Let a = 0.269 + -0.169. What is the closest to a in 5, -2, -10?
-2
Let u = 2143 + -2146. Which is the nearest to u? (a) 5 (b) -0.2 (c) 3 (d) 6
b
Let i = -2879 + 2880. Let m = 0.03 + -4.03. Let s be ((-10)/4 - 0)*-2. What is the closest to i in -4/3, s, m?
-4/3
Let j = -2002 - -2001.95. Which is the nearest to j? (a) 3/5 (b) -0.1 (c) 0.3
b
Let j = 0.01 - -1.99. Let k = -0.6 + 4.6. Which is the closest to 0? (a) k (b) -0.3 (c) j
b
Let i = -559 - -554. Let z be (-4)/6 + 4/(-30). What is the closest to 2 in i, -1, z?
z
Let m = 0.419 - -0.081. What is the closest to -10/7 in -0.3, m, 2/11?
-0.3
Suppose -4*g - 3 = -19. Suppose -3*h = -g*h + 3. Suppose -3*v = -5*w - 20, -h*v - 4*w - 9 = 7. What is the nearest to -1 in -0.4, -0.3, v?
-0.4
Let t be (-20)/(-5)*(-5 - 87/(-18)). Let b = -65/228 - -2/57. What is the closest to b in -0.1, -6, t?
-0.1
Let q = -129 + 85. Let s be 0 + -1 + (q/(-10) - 3). Which is the nearest to -0.2? (a) 0.1 (b) s (c) -0.3
c
Let o = -3 + 7. Suppose -10*l - 5*t - 24 = -6*l, t = -5*l - 9. Let n = 96/5 - 662/35. Which is the nearest to l? (a) 0 (b) o (c) n
a
Let j = -2.09 - 26.11. Let g = j - -28. What is the nearest to -3 in -2/9, g, -2?
-2
Let y(m) = 2*m**2 - 3*m - 2. Let j be y(3). Suppose 0*i = -7*i + j. Which is the nearest to i? (a) -1/6 (b) 2 (c) -1/4
b
Let n = -0.078 + -0.122. Let w = -7 - -6.8. Which is the nearest to n? (a) -12 (b) w (c) 4
b
Let j be (2/5)/((-2)/(-20)). Let f = 158.6 + -157.6. What is the nearest to -1/3 in f, -5, j?
f
Let g = -2.9367 - 0.0633. Which is the nearest to -2.9? (a) 1 (b) -3/8 (c) g
c
Let u = -67 - -71. Which is the nearest to 8? (a) 2 (b) 3 (c) u
c
Let z be (-1)/(-4) + 0/(-1). Let u be 1 + (-1 - -3) - (10 + -5). Let o be u + (1 - 12/(-14)). What is the nearest to o in 3/4, 2/9, z?
2/9
Let z be (-1)/(19/7 - (-22)/77). Suppose -5*v = -1 + 16. Let i = 7 + v. What is the closest to z in i, 1, -0.3?
-0.3
Let o = -203/117 + 17/9. Let i = -0.18 + 18.18. Let n = 14 - i. What is the nearest to 1 in n, 5, o?
o
Suppose 3*g - 26 = 3*s + 2*s, s = -2*g - 13. Let u be (0 + -1)*2/s. Let i = -0.1 - 0. Which is the nearest to i? (a) 5 (b) 1/2 (c) u
c
Let l = -2/111 - -121/555. Let z = 7.3 + 23.7. Let x = -33 + z. Which is the nearest to 3? (a) 0.4 (b) l (c) x
a
Let s(d) = d - 7. Let w be s(5). Let g = -1.03 - -37.03. Let n = g + -35. Which is the nearest to w? (a) n (b) -0.5 (c) -2/7
b
Let s = -12.082 + 0.082. What is the nearest to -0.1 in s, -2, 0.15?
0.15
Let g = -40 + 282/7. Let k be (-26)/22 + 4/22. Let t be (1 + k)/((-2)/2). What is the nearest to -1 in g, t, 3?
t
Let k = -102 + 103. What is the closest to 0 in k, 3, -0.03?
-0.03
Let l(o) = -o**3 - 7*o**2 - 5*o + 7. Let t = -15 + 9. Let g be l(t). Let d = -3 + 3.2. Which is the closest to 2? (a) d (b) g (c) -2/3
b
Let v = 234.1 + -231.1. Which is the closest to v? (a) -24 (b) 2/7 (c) -3
b
Let x = -4.78906 - 0.12194. Let g = x + -0.089. Let c = -0.2 - -0.3. What is the nearest to c in 1/2, 1, g?
1/2
Let q be (-16)/(-120) + (3 - (-718)/(-210)). What is the closest to -2 in -5, q, -2, 4?
-2
Let u = 1396 - 1395. Which is the nearest to 1? (a) 3/23 (b) -5 (c) u
c
Let j be ((4 - -5) + -9)/(1 - -1). Which is the nearest to j? (a) 6 (b) 3/4 (c) -3
b
Let r = 113 + -112.9. Let z = -1.3 + 0.3. Which is the nearest to 2/7? (a) z (b) -5/3 (c) r
c
Suppose 0*g - 6 = -4*w - g, 0 = 4*w - 4*g + 4. Let d be (-56)/(-189)*6/(-4). Let t = 37 - 33. Which is the nearest to w? (a) t (b) d (c) 0.1
c
Suppose -41 = 4*q - 5*k, 35 = -q - 4*q + 3*k. Let d be (-6 - q) + (-12)/(-9). What is the closest to 0 in d, -1, -5?
d
Let s = 1.35 + -1.05. Let n = 12.5 + -13. Which is the nearest to -2? (a) s (b) n (c) -2
c
Let a = -1.1 + 0.8. Let z = -0.7 + 0.8. Let n = 0.4 - z. What is the nearest to 3 in a, -1, n?
n
Suppose 0 = 5*a - 10, 0*m - 2*m - 4*a + 28 = 0. Suppose k = -k - m. Let z = -433 - -431. What is the closest to -1 in 1/4, k, z?
z
Suppose -5*d - 15 = 2*j, -3 + 6 = 2*j - d. Suppose -17*c + 14*c = j. Let o = 12 - 18. What is the nearest to c in o, 2, -5?
2
Let j be 63/108 + 14/21. What is the closest to -19 in 0, j, -0.5, 1?
-0.5
Let t = -296.5 - -296. Let p be (6/(-4) - -2)*1. Which is the closest to p? (a) t (b) -4 (c) 0.08
c
Let w = 172.1 + -172. Which is the nearest to 1/3? (a) 5 (b) w (c) -3
b
Let h = 73 - 75.5. Let k = h + 7.5. What is the closest to 2 in 3, k, 7?
3
Let q = -91 - -268/3. Let n = 709/5 + -141. What is the nearest to 2 in n, -0.5, q?
n
Let z = 0 + 2. Let y be z*2/(-12) + 0. Let w = 2.45 + -2.45. Which is the closest to w? (a) 4 (b) y (c) 0.5
b
Let i = -49 - -43. Which is the nearest to -2/3? (a) 3 (b) i (c) -4
c
Suppose -24*w = -49*w. What is | {
"pile_set_name": "DM Mathematics"
} |
+ 6. Let f(w) be the first derivative of -2*w**3 + 5*w + 15. Let y(j) = 6*f(j) - 5*z(j). Let v(x) = -11*x**2. Determine y(v(n)).
-121*n**4
Let w(c) = 2*c + 2. Let o(u) = 16*u + 12. Let s(t) = o(t) - 6*w(t). Let p(b) = 15*b. Calculate p(s(d)).
60*d
Let x(h) = h. Let u(i) = 8600*i**2 - 1505*i. Let v(d) = 86*d**2 - 15*d. Let r(f) = 6*u(f) - 602*v(f). What is r(x(q))?
-172*q**2
Let z(u) = 139*u**2 - 280*u**2 - 2 + 139*u**2 - 12. Let c(x) = -x. Determine z(c(g)).
-2*g**2 - 14
Let q(a) be the first derivative of 5 - 1/3*a**3 + 0*a + 0*a**2. Let n(j) = 17*j. Give n(q(f)).
-17*f**2
Let z(j) = 8*j + 8. Let n(p) = p**2 + p + 1. Let r(w) = 24*n(w) - 3*z(w). Let m(i) be the third derivative of -i**4/24 + 49*i**2. Calculate r(m(v)).
24*v**2
Let w(f) = -49*f. Let k(o) = -6*o**2 + 3*o. Give k(w(h)).
-14406*h**2 - 147*h
Let y(c) = -49 + 2*c**2 - 29 + 78. Let h(a) = -35*a. Give h(y(j)).
-70*j**2
Let z(j) = -j + 21. Let g be z(7). Let t(f) = 20*f - g*f - 11*f. Let h(p) = -2*p**2. What is t(h(x))?
10*x**2
Let q(i) = -3*i. Let u(w) = 2*w - 9. Let v(c) = c - 1. Let g(h) = -u(h) + 6*v(h). Let n(o) = -9*o - 7. Let l(z) = 14*g(z) + 6*n(z). Calculate q(l(y)).
-6*y
Let y(s) = 24*s**2 + 18*s - 9. Let c(z) = -11*z**2 - 8*z + 4. Let d(n) = -9*c(n) - 4*y(n). Let k(b) = -42*b**2. Give k(d(f)).
-378*f**4
Let c(n) = -36*n. Let o(t) = 8*t**2 + 11*t**2 - 25*t**2. What is c(o(p))?
216*p**2
Suppose 4*a - 12 = -4*p, 5*p - 21 + 6 = -2*a. Suppose a*i - 5*i + 30 = 0. Let u(w) = -i*w + 4*w - 3*w + 7*w. Let n(d) = -d**2. What is n(u(c))?
-4*c**2
Let t(r) = -2*r - 6 + 6. Let w(f) = -f. Let d(j) = t(j) - w(j). Let p(l) = 2*l. Calculate p(d(k)).
-2*k
Let z(b) = 2411*b**2. Let f(y) = -y + 6. What is f(z(j))?
-2411*j**2 + 6
Let d(v) = 222*v + 42. Let q(t) = -26*t - 5. Let s(w) = -5*d(w) - 42*q(w). Let z(c) = -5*c. What is z(s(h))?
90*h
Let a(s) = 178*s + 5*s**2 + 7*s**2 - 178*s. Let i(h) = 12*h. Let j(f) = -30*f. Let n(k) = 12*i(k) + 5*j(k). What is a(n(d))?
432*d**2
Let q(p) = 3*p. Let k(c) be the first derivative of -7*c**6/360 - 52*c**3/3 - 27. Let r(b) be the third derivative of k(b). Determine r(q(w)).
-63*w**2
Let i(r) = -3*r - 1629. Let x(d) = 2*d. Determine i(x(n)).
-6*n - 1629
Suppose -n - 7 = -o, 0*o - 3*o + 4*n + 26 = 0. Let z(i) = i**2 + 0*i**o + 0*i**2. Let p(c) = -29*c. Give z(p(f)).
841*f**2
Let y(z) = 5*z. Let l(s) = 89*s + 70. Determine y(l(c)).
445*c + 350
Let s(d) = -32946*d + 3. Let w(l) = -l. Give w(s(u)).
32946*u - 3
Let p(o) be the second derivative of o**3/3 - 19*o. Let d be (-636)/(-21) - (-6)/(-21). Let j(x) = -d*x + 30 - 30. Give j(p(g)).
-60*g
Let u(p) = -29*p**2 + 3*p**2 - 5*p**2. Let c(a) be the second derivative of -a**4/12 + 3*a + 423. Determine c(u(r)).
-961*r**4
Let r(u) = 5*u - 27. Let m(f) = -4*f + 18. Let x(i) = 3*m(i) + 2*r(i). Let a(c) = 199*c + 2. Calculate x(a(w)).
-398*w - 4
Let y(z) = -2*z. Suppose 4*g = 5*d - 2*d - 58, -5*g - 6 = d. Let n(t) = 6*t**2 + 9*t**2 - d*t**2. What is y(n(x))?
-2*x**2
Let c(d) = -4*d**2 + 18. Let q(k) = 1. Let v(i) = -2*c(i) + 36*q(i). Let p(y) be the first derivative of y**3 + 16. Give p(v(o)).
192*o**4
Let s(h) = 3*h**2. Let b(m) = -172*m + 774. Let w(o) = 9. Let v(a) = b(a) - 86*w(a). Give v(s(c)).
-516*c**2
Let k(i) = 10*i**2. Let l(x) = -923*x**2. Give k(l(u)).
8519290*u**4
Let q(t) = 12*t - 11. Let d(c) be the third derivative of c**4/6 - 2*c**3/3 - 21*c**2. Let l(b) = -11*d(b) + 4*q(b). Let g(s) = 3*s. What is l(g(a))?
12*a
Let w(u) = 11*u**2 - 2*u + 6. Let q(h) = -240*h**2 + 45*h - 135. Let o(v) = -4*q(v) - 90*w(v). Let j(p) = 17*p. Determine o(j(a)).
-8670*a**2
Let z(c) = 2*c. Let j(s) be the third derivative of -475*s**4/24 - 109*s**2 + 3. Determine z(j(n)).
-950*n
Let a(p) be the second derivative of -5*p**3/6 + p**2 + 16*p. Let g(x) = 4*x**2. What is g(a(r))?
100*r**2 - 80*r + 16
Let i(c) = 3*c. Let z(t) be the third derivative of 0 + 0*t + 0*t**3 + 3*t**2 + 1/12*t**4. Give z(i(d)).
6*d
Let t(h) = -h + 51. Let g(k) = -1067*k. Calculate t(g(u)).
1067*u + 51
Let r(m) be the third derivative of m**4/8 - 2*m**3/3 - 18*m**2. Let b(f) = -2*f + 3. Let d(u) = 4*b(u) + 3*r(u). Let g(s) = -2*s**2. Determine d(g(w)).
-2*w**2
Suppose -j + 4 = j. Let h(d) be the first derivative of 50*d**j - 49*d**2 - 2 + 8. Let g(b) = -9*b**2. Give g(h(r)).
-36*r**2
Let g(p) be the third derivative of -p**2 + 0*p + 0*p**3 - 1/24*p**4 + 0. Let x(o) = -o - 1. Let z(f) = -8*f + 4. Let l(b) = 4*x(b) + z(b). What is g(l(y))?
12*y
Let v(t) = -155*t**2 - 50*t + 25. Let a(q) = -39*q**2 - 12*q + 6. Let u(m) = -25*a(m) + 6*v(m). Let d(j) = j**2. Calculate d(u(z)).
2025*z**4
Let y(o) = -2*o**2. Let i(l) be the second derivative of -17*l**4/2 - 388*l. What is y(i(d))?
-20808*d**4
Let u(g) = 1271*g - 283. Let l(w) = -2*w. Give l(u(q)).
-2542*q + 566
Let f(o) be the third derivative of -13*o**5/30 + o**4/24 + 451*o**2. Let c(l) = 3*l**2. Calculate c(f(s)).
2028*s**4 - 156*s**3 + 3*s**2
Let q(m) = 2*m. Let d = -22 + 32. Let a(c) = -d*c + 0*c - 3*c. Calculate q(a(r)).
-26*r
Let b(y) = -173*y**2. Let o(w) = 566*w**2. What is o(b(a))?
16939814*a**4
Let h(x) be the second derivative of 23*x**5/20 + x**3/6 + 5*x. Let u be h(1). Let y(s) = 20 + u + s - 44. Let m(p) = -2*p. What is m(y(a))?
-2*a
Let s(c) = 8*c**2. Suppose -2*m = -2*z + 4, 27 - 3 = 5*z + 2*m. Let i(g) = 1 + 3 - z + g. Determine s(i(r)).
8*r**2
Let x(j) = -21*j. Let a(b) = -75*b + 62*b + 8*b. Determine a(x(z)).
105*z
Let r(y) = -9*y**2 + 11*y - 12. Let l(o) = -9*o**2 + 12*o - 14. Let k(d) = 6*l(d) - 7*r(d). Let h(f) = 3*f. Calculate h(k(g)).
27*g**2 - 15*g
Let w(a) = -7*a**2. Let z(d) = 4*d**2 + 18*d - 1. Calculate z(w(t)).
196*t**4 - 126*t**2 - 1
Let l(v) = -3*v**2. Let w(o) = 120*o + 418. What is w(l(s))?
-360*s**2 + 418
Let a(i) = -109106*i. Let n(w) = w**2. Calculate a(n(r)).
-109106*r**2
Let c(n) = -29*n**2 - 23*n - 5. Let s(h) = -29*h**2 - 29*h - 6. Let x(q) = -6*c(q) + 5*s(q). Let w(z) = 2*z. What is w(x(v))?
58*v**2 - 14*v
Let z(l) = 35177*l. Let q(o) = 2*o**2. Calculate q(z(b)).
2474842658*b**2
Let d(z) = 14*z**2 - 7. Let c(m) = -24*m - 42. Let i(u) = -5*u - 9. Let g(r) = -3*c(r) + 14*i(r). Give d(g(w)).
56*w**2 - 7
Let z(v) = -2*v**2 + 4. Let d(o) = -5*o**2 + 9. Let c be 84/(-22) - (-8)/(-44). Let t(h) = c*d(h) + 9*z(h). Let b(f) = -2*f. Calculate t(b(w)).
8*w**2
Let a(n) = n**2. Let v(s) = 13*s**2 + 6*s - 13. Let h(z) = -2*z**2 - z + 2. Let o(k) = 6*h(k) + v(k). Give a(o(i)).
i**4 - 2*i**2 + 1
Let x(u) = -u**2. Let k(c) be the third derivative of 0*c**3 + 0*c + 13*c**2 + 0*c**4 + 0 - 1/60*c**5. Determine x(k(r)).
-r**4
Let p(q) = 2*q**2. Let d(l) = 8*l**2 + 26855. Give d(p(a)).
32*a**4 + 26855
Let v(c) = 6*c + 3 - 2*c + 1 - 3*c. Let t be v(-2). Let i(k) = -10*k**2 + 14*k**2 - 6*k**t. Let r(l) = 3*l. What is r(i(m))?
-6*m**2
Let q(f) = -165*f - 2. Let v(r) = -55*r - 3. Let k(l) = 92*l + 5. Let y(g) = 3*k(g) + 5*v(g). Calculate q(y(h)).
-165*h - 2
Let d(u) = 2*u**2. Suppose 36 = 12*n - 3*n. Let r(q) be the second derivative of 5/12*q**n + 0 + q + 0*q**2 + 0*q**3. Determine r(d(s)).
20*s**4
Let q(r) = -2*r**2. Let g(h) = -25*h + 4. Let i(p) = 78*p - 13. Let d(s) = 13*g(s) + 4*i(s). Calculate d(q(y)).
26*y**2
Let s(n) = -5*n + 17*n - 13*n. Let q(i) be the first derivative of 2*i**3/3 - 10. Calculate q(s(o)).
2*o**2
Let f(i) = i. Let k(x) be the third derivative of 0*x**3 + 17*x**2 + 1/12*x**4 + 0 + 0*x. What is k(f(l))?
2*l
Let d(k) = 2*k**2. Let a(r) = -480*r + 2. What is a(d(f))?
-960*f**2 + 2
Let d(u) = -5*u. Let x(n) be the third derivative of 0 + 0*n + 1/60*n**5 + 0*n**4 + 7*n**2 + 0*n**3. What is x(d(p))?
25*p**2
Suppose 10*p = 33*p. Let v(d) be the first derivative of -1/3*d**3 + p*d + 0*d**2 - 5. Let a(w) = w**2. Calculate a(v(n)).
n**4
Let m(x) = 28 + 5*x - 33 - 6*x**2 - 5*x. Let a = 15 + -11. Let n(t) = -5*t**2 - 4. Let r(y) = a*m(y) - 5*n(y). Let u(l) = -7*l. Determine r(u(q)).
49*q**2
Let r(x) = -x**2. Let p(z) = 2567308*z. Determine r(p(q)).
-6591070366864*q**2
Let u(y) be the first derivative of -2*y**2 - 283. Let t(g) = g. Let r(d) = -4*d. Let m(v) = -r(v) - 5*t(v). Give m(u(b)).
4*b
Let p(k) be the second derivative of -4*k**4/3 - 2*k. Let y(s) = -s**2 + 2*s + 20. Let i(u) = 9*u**2 - 17*u - 170. Let h(d) = 6*i(d) + 51*y(d). Give h(p(r)).
768*r**4
Let u(x) = 29877*x. L | {
"pile_set_name": "DM Mathematics"
} |
*o**3 + 8*m*o**2 - 288 wrt o?
6*m**3 - 9180*m**2
Find the first derivative of -250875*v + 1528179 wrt v.
-250875
What is the second derivative of -6085*a**4 + a + 2673 wrt a?
-73020*a**2
Find the third derivative of 2*i*j**5 + 102921*i*j**2 + 89535*j**5 + 2*j**2 + 2*j wrt j.
120*i*j**2 + 5372100*j**2
Find the third derivative of y**4 + 15326*y**3 + 8243*y**2 wrt y.
24*y + 91956
Find the third derivative of -189786*i**5 - 2*i**3 - 148*i**2 - 36*i - 2.
-11387160*i**2 - 12
Find the third derivative of -2407772*y**3 - 367*y**2 + y - 837.
-14446632
Find the first derivative of -37*a**4 - 2*a**3 + 45*a**2 + 41922 wrt a.
-148*a**3 - 6*a**2 + 90*a
Find the second derivative of -2*b**4 + 4206*b**3*n - 2*b**3 - 273*b*n + 2*b - n wrt b.
-24*b**2 + 25236*b*n - 12*b
Differentiate -35425*t**4 - 9*t + 2235830 with respect to t.
-141700*t**3 - 9
What is the first derivative of 257*w*y**3 - w*y**2 - 7*w*y - 27743*y**3 wrt w?
257*y**3 - y**2 - 7*y
What is the second derivative of -51*b**3*g - 42*b**3 + b*g + b - 4*g - 23 wrt b?
-306*b*g - 252*b
Differentiate 8*n*x**3 + 222*n*x**2 - 2*n*x - 16524*x**3 wrt n.
8*x**3 + 222*x**2 - 2*x
What is the third derivative of -18136*w**6 + 26*w**2 - 13*w wrt w?
-2176320*w**3
Find the first derivative of -3*y**3 + 786*y**2 + 47*y + 886 wrt y.
-9*y**2 + 1572*y + 47
Differentiate -2*s**2*w + s**2 + 68*s*w - 2066*s - 744246*w wrt s.
-4*s*w + 2*s + 68*w - 2066
Find the third derivative of 112*d**5*l**2 + 2730*d**5*l - 15*d**2*l + 4950*d*l**2 wrt d.
6720*d**2*l**2 + 163800*d**2*l
Find the first derivative of -523*w + 19715 wrt w.
-523
What is the second derivative of 11*c**2*d**2 - 273*c**2*z + 15*c*d**2*z + 5*c*d*z + 2*c - 4*d**2*z + 2 wrt c?
22*d**2 - 546*z
Find the first derivative of 188*b**2*s**3 + 13*b**2*s - 35013*b**2 wrt s.
564*b**2*s**2 + 13*b**2
What is the derivative of 115607*w**2*x**2 - 6*w*x**3 - 2*w*x - 2606225*x**3 wrt w?
231214*w*x**2 - 6*x**3 - 2*x
What is the derivative of g*w**2*x - 151169*g*w - 45*g*x + 21*w**2*x - w**2 - x wrt x?
g*w**2 - 45*g + 21*w**2 - 1
What is the derivative of 233201*p**2 - 276824?
466402*p
What is the derivative of -838906*d**3 + 4281459 wrt d?
-2516718*d**2
What is the second derivative of -1592*i**2*p**2 + 3*i**2*p - 103*i**2 - 130*p**3 wrt p?
-3184*i**2 - 780*p
What is the second derivative of -3*b**4 - 73*b**3 - 74*b**2 - 3194*b - 4 wrt b?
-36*b**2 - 438*b - 148
What is the derivative of -120*r**2 - 177*r + 62249 wrt r?
-240*r - 177
Find the first derivative of -41*d**4 + 2*d**2 + 4073*d - 2437227.
-164*d**3 + 4*d + 4073
What is the second derivative of 278950*m**4 - m**2 + 11647*m + 43 wrt m?
3347400*m**2 - 2
Find the first derivative of -889194*b - 454094 wrt b.
-889194
What is the second derivative of 1338093*x**2 - x + 330665?
2676186
Find the third derivative of 10*q**6 + 1652*q**5 + q**4 - 11*q**2 + 104*q - 9.
1200*q**3 + 99120*q**2 + 24*q
Find the second derivative of -3*m**3 - 304*m**2*q**3*z - 11*m**2*q + 6*m*q**2 - 674*m*q*z + q**3*z - q**3 + 4*q**2*z + 2*z wrt m.
-18*m - 608*q**3*z - 22*q
Find the first derivative of -2*k**3*r - 945*k**3 - 2*k**2 - 735*k*r**2 - 7*k + 2*r**2 wrt r.
-2*k**3 - 1470*k*r + 4*r
Differentiate 66*d*p*r**3 + 9*d*p*r - 11*d*r**3 + 21*p*r**3 + 38405*r**3 with respect to p.
66*d*r**3 + 9*d*r + 21*r**3
What is the derivative of -149430*k + 7766?
-149430
Find the second derivative of 4057*b*v**2 + 3450*b*v - 91*v**2 - 21*v + 2 wrt v.
8114*b - 182
Find the second derivative of 11*i**3*n**4 - 6*i**3*n - 28*i**2*n + 6637*i*n**5 + 64*i*n + 2*n wrt n.
132*i**3*n**2 + 132740*i*n**3
Find the first derivative of 12733*n - 112526 wrt n.
12733
What is the first derivative of -356262*d - 52166 wrt d?
-356262
What is the first derivative of -64338*k*u + 2238*k + 15 wrt u?
-64338*k
What is the second derivative of -224599*n**4 - 100112*n?
-2695188*n**2
Differentiate 1015481*m**2 - 42823.
2030962*m
Find the third derivative of -30122*i*s*u**4 + i*s*u**3 - 3*i*s*u**2 - 25*i*s*u - 11*s*u**2 + 2*s*u wrt u.
-722928*i*s*u + 6*i*s
Find the first derivative of 8*o**2*y - 10936*o**2 - 2*o*y + 5449*y wrt y.
8*o**2 - 2*o + 5449
What is the third derivative of -456355*g**6 - 376287*g**2?
-54762600*g**3
What is the third derivative of 94939*f**3*r*u**3 - f**3*r*u + 15*f**2*u**3 - 1110*f**2 - r*u wrt f?
569634*r*u**3 - 6*r*u
Find the third derivative of -197482*y**4 - 119312*y**2.
-4739568*y
What is the second derivative of -2*a**3 - 8871*a**2 - 67103*a + 3?
-12*a - 17742
Find the second derivative of -19664*p**5 - 23*p + 2994.
-393280*p**3
What is the derivative of -42*k**4 + 7*k**2 - 3*k + 67713 wrt k?
-168*k**3 + 14*k - 3
What is the third derivative of 55*j**2*k**3 - 3*j**2*k**2 + 543*j**2*k + 103*j*k**3 - 24*j*k + 11*k**3 wrt k?
330*j**2 + 618*j + 66
What is the second derivative of -136316*o**2 - o + 51763 wrt o?
-272632
What is the first derivative of -3*d**4*w + d**4 - 37*d*w + 10464*w wrt d?
-12*d**3*w + 4*d**3 - 37*w
Find the first derivative of -3674*c**3*z**2 + 2*c**3*z + 53694*c**3 - 7*c*z**2 wrt z.
-7348*c**3*z + 2*c**3 - 14*c*z
What is the second derivative of 3*i*o**3 - i*o**2 - 14*i*o - 462*i + 11*o**3 + 31*o**2 wrt o?
18*i*o - 2*i + 66*o + 62
What is the first derivative of -36181*h**2 - 16476?
-72362*h
What is the derivative of -313046*d + 116591?
-313046
What is the third derivative of -5*r**5 - 1725*r**4 + 2*r**2 - 6*r + 444?
-300*r**2 - 41400*r
Find the second derivative of -490690*y**2 + 613835*y.
-981380
What is the derivative of 22192*h**4 - 38006 wrt h?
88768*h**3
What is the third derivative of -456837*q**3 - 71*q**2 - 119*q + 2?
-2741022
What is the second derivative of -a*v*w**2 - 559*a*v*w + 2675*a*w**4 + 18*a*w - 3*v*w**2 wrt w?
-2*a*v + 32100*a*w**2 - 6*v
Differentiate -2*d**3 - 98713*d + 440571 wrt d.
-6*d**2 - 98713
What is the second derivative of -16672*v**5 + 49046*v?
-333440*v**3
What is the third derivative of 574*v**2*w**3 + 86206*v**2*w**2 + 72*w**3 wrt w?
3444*v**2 + 432
What is the third derivative of -150*b**6 + 3*b**4 - 44*b**3 + 443515*b**2?
-18000*b**3 + 72*b - 264
Find the third derivative of h**5 - 12*h**4*r**3 - 288*h**3*r - 597*h**2*r - 15*h**2 + 2*r**3 - 2*r**2 wrt h.
60*h**2 - 288*h*r**3 - 1728*r
What is the second derivative of -400728*a**2 + 6*a + 3715 wrt a?
-801456
Find the third derivative of -2*n*r**5 + 20663*n*r**3 + 38107*n*r**2 wrt r.
-120*n*r**2 + 123978*n
Find the first derivative of -4304*d - 30016 wrt d.
-4304
What is the second derivative of -11*u**4 + 20*u**3 + u**2 + 3555*u + 31?
-132*u**2 + 120*u + 2
What is the third derivative of 16*p**2*z**3 - 16*p**2*z**2 - 948*p*z**4 - 3*z**2 - 2*z - 4 wrt z?
96*p**2 - 22752*p*z
Find the first derivative of 1674*n**3 + 11*n - 86931 wrt n.
5022*n**2 + 11
Differentiate -5*u*w**4 - 30*u*w**2 + 1156*u*w + 86701*u with respect to w.
-20*u*w**3 - 60*u*w + 1156*u
Differentiate 75*a**3*y + 29*a**3 - 7055*a**2*y + 33*a**2 + a + 2*y - 2 with respect to y.
75*a**3 - 7055*a**2 + 2
What is the second derivative of 46*i**4 - 1789*i**2 - i + 46056?
552*i**2 - 3578
What is the third derivative of -167931*a**6 + a**3 + 19*a**2 - 10788?
-20151720*a**3 + 6
What is the second derivative of -200956*h**2*q + 108*h*q - 342*h wrt h?
-401912*q
Find the third derivative of 21516*c**6*q*s**3 - 2*c**3*q**2 - 15*c**2*q**2*s - 2*c**2*q - 40*c*s**3 - 2*q**2*s**3 + 16*s**3 wrt c.
2581920*c**3*q*s**3 - 12*q**2
Find the third derivative of -17618*k**4 + 75*k**2 - 2*k - 936 wrt k.
-422832*k
Find the third derivative of 321214*f**3 + f**2 + 56*f + 652.
1927284
What is the first derivative of 6*r**4 + 5*r**3 - 22*r**2 + 22580 wrt r?
24*r**3 + 15*r**2 - 44*r
Differentiate 10315*t**2 - 3*t + 7843.
20630*t - 3
Differentiate -71269*h + 169109.
-71269
Find the third derivative of -5*i*x**5 + 6*i*x**3 - i*x**2 - 35*x**5 + 7*x**2 - 11*x - 3 wrt x.
-300*i*x**2 + 36*i - 2100*x**2
Find the third derivative of -54*c**4*d**2 - 267*c**4 + 198*c**2*d**2 + 8*c**2*d - 17*c**2 - 2*c wrt c.
-1296*c*d**2 - 6408*c
What is the third derivative of k**5 + 2*k**4 + 121208*k**3 + 161931*k**2 + k wrt k?
60*k**2 + 48*k + 727248
Find the third derivative of -2*b**6 - b**3*s - 71666*b**3 + 9129*b**2*s - b*s wrt b.
-240*b**3 - 6*s - 429996
Find the first derivative of -35117*m**2*o + 2*m**2 + 4*m*o - 34659*m + o + 2 wrt o.
-35117* | {
"pile_set_name": "DM Mathematics"
} |
ivative of 0*u**5 + 5/6*u**4 + 0*u**6 - 5*u**2 + 0*u**3 + 1/15*u**7 + 0 + 0*u. Find the second derivative of v(b) wrt b.
168*b**2
Suppose d = 7*d. Let c(m) be the second derivative of -m**2 + d*m**3 - 1/6*m**4 + 5*m + 0. Find the first derivative of c(g) wrt g.
-4*g
Let k(t) = -t**4 + t**3 - t**2 - 1. Let o(d) = -3*d**4 + 21*d**3 + 78*d**2 - 1. Let c(p) = k(p) - o(p). What is the third derivative of c(h) wrt h?
48*h - 120
Let x(l) be the second derivative of -l**6/15 - 5*l**4/4 - l**3/6 + l**2/2 + 62*l. Find the second derivative of x(f) wrt f.
-24*f**2 - 30
Let m(p) be the first derivative of -p**8/14 - 13*p**4/12 - 7*p - 9. Let g(i) be the first derivative of m(i). What is the third derivative of g(x) wrt x?
-480*x**3
Let y be 3 + (2 - (0 + 3))*-11. Differentiate -35*c**4 + y + 19*c**4 - 6 with respect to c.
-64*c**3
Suppose -5 = -o, k = -3*k + o + 3. Let i = 261 + -255. What is the third derivative of -4*m**2 + m**i - 3*m**6 - m**k - 3*m**6 wrt m?
-600*m**3
Let j(s) be the second derivative of 0*s**3 + 1/2*s**4 - s + 9/2*s**2 + 0. What is the first derivative of j(o) wrt o?
12*o
Let h(s) = -455*s - 538. Let r(w) = -1822*w - 2161. Let v(y) = -22*h(y) + 6*r(y). What is the derivative of v(x) wrt x?
-922
Let l = 8 - 5. Let o(z) = 2*z**4 - 5*z**2 - 3. Let q = 288 + -287. Let k(i) = -i**4 + 1. Let m(p) = l*k(p) + q*o(p). What is the third derivative of m(b) wrt b?
-24*b
Let l be (-12)/(-18) + (-1)/(-3). Suppose -1 = -n + l. What is the second derivative of 4*q - 3*q**2 - 4*q**n + 4*q**2 + 4*q**2 wrt q?
2
Let j(u) = -437*u + 967. Let t(i) = 145*i - 321. Let m(z) = -3*j(z) - 8*t(z). What is the derivative of m(y) wrt y?
151
Let g(l) = 1. Let a(x) = 15*x + 55. Suppose 4*o + 125 = 9*o. Let c(y) = o*g(y) - a(y). Find the first derivative of c(q) wrt q.
-15
Find the third derivative of 10*i**4 + 15508 + i**4 - 15508 - 18*i**2 wrt i.
264*i
Let h(c) be the second derivative of -131*c**7/42 + c**4/12 - c**3/2 - 37*c**2/2 + 156*c. Find the second derivative of h(n) wrt n.
-2620*n**3 + 2
Suppose -4*p + 3*w - w = -22, p + w = 1. Let n be 10/5 + 2*1. What is the third derivative of p*s**2 + s**n + s - s wrt s?
24*s
Let y(x) = 10*x**2 + 10*x. Let c(b) = -3*b - 3*b**2 - 3*b**2 + 3*b**2. Let k = 22 - 20. Let r(o) = k*y(o) + 7*c(o). What is the second derivative of r(l) wrt l?
-2
Suppose 0 = f - 16*f + 30. What is the second derivative of -6*o**f + 7*o**3 + o - 36*o**3 + 13*o**3 - 7 + 12*o**3 wrt o?
-24*o - 12
Let l(q) be the third derivative of -q**9/252 + 41*q**8/84 - 2*q**5/5 + 57*q**2. Find the third derivative of l(m) wrt m.
-240*m**3 + 9840*m**2
Let r = -264 + 372. Find the third derivative of r*z + z**2 - 12*z**4 - 108*z - 12*z**2 wrt z.
-288*z
Let n(g) = -4*g - 42. Let a(k) be the second derivative of -4*k**3/3 - 85*k**2/2 + 19*k. Let y(o) = -6*a(o) + 13*n(o). Differentiate y(r) wrt r.
-4
Let m(c) be the third derivative of -667*c**6/120 - c**5/60 - 5*c**4/12 - c**2 + 139. Find the third derivative of m(i) wrt i.
-4002
Let g(w) be the third derivative of 10*w**2 + 0*w**5 + 0*w + 0*w**3 - 1/210*w**7 + 5/6*w**4 + 0*w**6 + 0. What is the second derivative of g(u) wrt u?
-12*u**2
Let p(s) = -s**2 - 1. Let b(w) = -11*w**3 - 874*w + 6 + 874*w. Let m be 8/(-5) - (-15)/25. Let z(i) = m*b(i) - 6*p(i). Find the third derivative of z(c) wrt c.
66
Let c be 0 + (-19)/(171/(-6)). Let d(n) be the third derivative of 0*n + 5/24*n**4 - 3*n**2 - c*n**3 + 0. What is the derivative of d(a) wrt a?
5
Let z(v) = v**2 + 3*v + 8. Let j be z(-2). What is the second derivative of -6*k - j*k**3 - 7*k + 7*k wrt k?
-36*k
Let y be 10/(-5)*(-1)/4*6. Suppose 0 = 2*u - 2 - 4. Differentiate -8*p**3 - 4 + 2*p - 2*p + y*p**u with respect to p.
-15*p**2
Suppose -4*w - 4 = -0*w. Let v(y) = 2*y**3 + y + 4. Let r(s) = s**3 - s. Let d(k) = w*r(k) - v(k). What is the first derivative of d(o) wrt o?
-9*o**2
Let b(h) be the first derivative of h**5/20 + 3*h**4/4 - 7*h - 4. Let o(x) be the first derivative of b(x). Find the third derivative of o(r) wrt r.
6
Let q(u) = u**3 + 3*u**2 - 1. Let g be q(-2). Find the second derivative of -6*j**g - 4*j + 2*j - 6*j + 4*j**3 wrt j.
-12*j
Let f(b) be the third derivative of -11*b**7/35 - 3*b**5/20 - 5*b**3/6 - 28*b**2. Find the third derivative of f(l) wrt l.
-1584*l
Let c = 37 - 35. Let w(o) = -11*o**2 + 21*o. Let z(d) = 45*d**2 - 85*d. Let f(u) = c*z(u) + 9*w(u). Find the second derivative of f(g) wrt g.
-18
Suppose 2*j - 15 = 15. Find the second derivative of j*m + 33*m**4 - 6*m + 18*m wrt m.
396*m**2
Let b = -58 - -61. Find the first derivative of 6*n**b + 21*n**3 + 39 - 15*n**3 wrt n.
36*n**2
Let b(m) = -m**2 + 10*m - 6. Suppose -2*x + 21 = -0*x + t, 4*x - t - 33 = 0. Let w be b(x). Find the third derivative of -u**2 - u**3 - w*u**2 + 0*u**2 wrt u.
-6
Let h(g) be the third derivative of 1/12*g**5 - 11*g**2 + 0*g**4 + 0 + 0*g**3 - 1/12*g**6 + 0*g. Find the third derivative of h(u) wrt u.
-60
Let v = -105 + 108. Find the third derivative of 0*b**3 - v*b**3 - 10*b**4 - b**4 + 2*b**2 + 12*b**4 wrt b.
24*b - 18
Suppose 5*u - 2 + 7 = 0. Let b = 4 + u. Find the third derivative of 9 + h**2 - 5 + b*h**4 - 4 wrt h.
72*h
Let c(j) = 484*j**3 + 18*j**2 + 488*j - 8. Let i(h) = -121*h**3 - 4*h**2 - 122*h + 2. Let s(z) = 2*c(z) + 9*i(z). What is the second derivative of s(a) wrt a?
-726*a
Suppose 2*c = -3*c - 100. Let t = 24 + c. Let b(x) = -x**2 + 3*x - 3. Let u(q) = 2*q - 4. Let w(f) = t*b(f) - 3*u(f). Find the second derivative of w(i) wrt i.
-8
Let p be (-72)/(-63) + 180/700. Let q(o) be the first derivative of 0*o**2 + 0*o**3 + 0*o**4 + 10 + p*o**5 - 5*o. Differentiate q(r) wrt r.
28*r**3
What is the second derivative of 148*q**2 + 7*q - 13 - 87*q**2 + 384*q**2 wrt q?
890
Let l(f) be the first derivative of 0*f**5 - 2 + 0*f**4 - 3*f + 0*f**2 + 4/3*f**3 + 2/3*f**6. What is the third derivative of l(r) wrt r?
240*r**2
What is the derivative of -11 - 41 - a + 0*a - 9 - 17*a**4 wrt a?
-68*a**3 - 1
Let w(z) = -637*z**2 - 541*z - 6. Let d(c) = 1911*c**2 + 1624*c + 17. Let f(j) = 6*d(j) + 17*w(j). Find the second derivative of f(h) wrt h.
1274
Find the first derivative of -81 - 6*c**3 - 139*c**3 - 39 - 6 - 16 wrt c.
-435*c**2
Let o(s) be the second derivative of 103*s**5/10 + s**4 + 142*s. Find the third derivative of o(j) wrt j.
1236
Let k(u) be the third derivative of 5*u**7/1008 - u**6/180 - u**5/15 - 25*u**2. Let s(p) be the third derivative of k(p). Differentiate s(q) with respect to q.
25
Let c(b) be the first derivative of b**7/420 + b**5/120 + 11*b**3/3 - 8. Let h(o) be the third derivative of c(o). Find the second derivative of h(w) wrt w.
12*w
Let i = -10 + 20. Let g = -3 + i. What is the second derivative of -6*s**2 + g*s + 13*s**2 - 3*s + 5*s wrt s?
14
Let m(k) be the third derivative of -k**9/126 + 16*k**5/15 - 74*k**2. What is the third derivative of m(c) wrt c?
-480*c**3
Let f(w) be the first derivative of -34 + 31/2*w**2 - 41*w. Find the first derivative of f(c) wrt c.
31
What is the derivative of 263 + 48*l**2 + 149 + 132 + 12*l**2 - 6*l**4 wrt l?
-24*l**3 + 120*l
What is the derivative of 85*o - 22*o - 30*o - 93 + 90*o - 4*o wrt o?
119
Let c(z) = 5*z**4 - 6*z**3 + 6*z + 11. Let o(y) = 52*y + 2*y**3 + y**4 - 51*y - 3*y**3. Let d(g) = -c(g) + 6*o(g). Differentiate d(f) with respect to f.
4*f**3
Let w(a) = 20*a**5 + 12*a**4 + 413*a**2 + 3. Let q(u) = -u**2 + 1. Let h(y) = -3*q(y) + w(y). Find the third derivative of h(v) wrt v.
1200*v**2 + 288*v
Let s(i) = 25*i**2 + 7*i + 2. Let c(w) = -24*w**2 - 7*w - 3. Let y(x) = -2*c(x) - 3*s(x). What is the second derivative of y(z) wrt z?
-54
Let j(l) = l**4 - l**3 - l**2 - l. Let n(r) = -199*r**4 - 4*r**3 - 3*r**2 - 4*r - 40. Let o(s) = -4*j(s) + n(s). What is the derivative of o(d) wrt d?
-812*d**3 + 2*d
Let d(u) be the first derivative of 158*u**5/5 + u**3/3 + 142*u + 222. What is the derivative of d(a) wrt a?
632*a**3 + 2*a
What is the second derivative of -3 + 0*l**3 + l**2 + 4*l**3 - 3*l**3 + 7*l wrt l?
6*l + 2
Let j(m) = 2*m**2 - 38*m - 23. Let k be j(20). What is the third derivative of -98*d**5 + 86*d**5 - d**2 - k*d**2 wrt d?
-720*d**2
Let u(t) = t**4 - 2*t**3 - 128*t**2 + 4*t + 4. Let q(g) = -g**2 + g + 1. Let n(m) = -4*q(m) + u(m). Find the third derivative of n(r) wrt r.
24*r - 12
Let i(x) = -28*x** | {
"pile_set_name": "DM Mathematics"
} |
d(u(c))?
169*c**2
Let r(c) = 486*c**2 - 16. Let i(l) = -3*l. Determine i(r(h)).
-1458*h**2 + 48
Let a(r) be the second derivative of -17*r**5/120 - r**3 + 3*r. Let w(n) be the second derivative of a(n). Let f(t) = -t**2. What is w(f(o))?
17*o**2
Let t(a) = -13*a**2. Let k(r) = -35437*r. Determine t(k(b)).
-16325152597*b**2
Let i(l) = 9*l + 11. Let a(u) = 5*u + 7. Let g(j) = 5*a(j) - 3*i(j). Let w(h) = -2*h**2. What is g(w(n))?
4*n**2 + 2
Let k(m) = m. Let p(u) = 2*u**2 - 227222. Calculate k(p(c)).
2*c**2 - 227222
Let s(m) = -6546 + 6546 + 117*m. Let p(y) = 2*y**2. Determine p(s(k)).
27378*k**2
Let t(n) be the second derivative of n**3/3 + 139*n**2/2 - 305*n. Let y(d) = -2*d**2. Give t(y(r)).
-4*r**2 + 139
Let b(l) = -89*l. Let y(c) = 6*c**2 - 9*c + 6. Let k(r) = 7*r**2 - 12*r + 8. Let m(h) = 3*k(h) - 4*y(h). Calculate m(b(q)).
-23763*q**2
Let h(x) = x. Let m(i) = -10*i**2 + 32*i**2 - 17*i**2 + 11 + 11*i. Let z(o) = -3*o**2 - 6*o - 6. Let r = 2 - 8. Let n(t) = r*m(t) - 11*z(t). What is h(n(y))?
3*y**2
Let h(b) = 0 + 0 + 2*b. Let s(k) = 195*k**2 + 165*k. Let v(g) = -14*g**2 - 12*g. Let j(z) = 4*s(z) + 55*v(z). Calculate j(h(y)).
40*y**2
Let q(v) = v. Let o(i) = i**2 + i + 16. Let f be o(0). Suppose 7*p - 2 = 6*p. Let m(c) = 11*c**2 - f*c**2 + 10*c**p. Give q(m(g)).
5*g**2
Let a(g) = 3*g**2 + 9*g - 32. Let x(c) = -c. Give x(a(y)).
-3*y**2 - 9*y + 32
Let k(b) be the first derivative of 17*b**3 + 179. Let i(c) = 8*c. What is i(k(a))?
408*a**2
Let f(a) = -2*a. Let m(c) = 3101*c. What is f(m(b))?
-6202*b
Let z(m) = 3*m**2. Let w(f) = 8*f**2 - 6*f + 6. Let v(l) = -8*l**2 + 5*l - 5. Let s be -1*(2 + 4)*-1. Let q(c) = s*v(c) + 5*w(c). What is z(q(h))?
192*h**4
Let r(n) = n + 4. Let x(p) = -5*p - 16. Let m(h) = 4*r(h) + x(h). Let t(j) = j**2 - 11 - 3*j + 3*j. What is t(m(o))?
o**2 - 11
Let t(i) be the second derivative of 0*i**3 + 0*i**2 - 37*i + 0 - 61/12*i**4. Let o(a) = 2*a. What is o(t(d))?
-122*d**2
Let y(o) = -2538*o. Let f(i) = 12*i. What is f(y(h))?
-30456*h
Let u(a) = a + 3. Let q(h) = -7*h - 18. Let r(t) = -q(t) - 6*u(t). Let j(v) = 8*v**2. Calculate r(j(o)).
8*o**2
Let u(x) be the third derivative of 7*x**5/20 + 20*x**3/3 - 2*x**2. Let k(i) be the first derivative of u(i). Let c(t) = -2*t**2. Calculate k(c(v)).
-84*v**2
Let v(k) = -4*k - 128. Let p(t) = 15*t**2. Calculate p(v(n)).
240*n**2 + 15360*n + 245760
Let w(p) = 76*p. Let x(t) = 2*t**2 - 5495*t. Determine x(w(q)).
11552*q**2 - 417620*q
Let q(p) = -2*p**2. Let i(t) be the second derivative of -7*t - 1/6*t**4 + 0*t**3 + 0*t**2 + 0. What is i(q(k))?
-8*k**4
Let c(n) = 5445*n. Let x(a) = 357*a. Determine c(x(d)).
1943865*d
Let q(d) = -2*d. Suppose 4*c - 10 = -2. Let w(v) be the second derivative of 2/3*v**3 + 2*v + 0*v**c + 0. Give w(q(t)).
-8*t
Let z(h) be the second derivative of -h**3/6 - 2*h. Let k(a) be the second derivative of -2*a**3/3 - 65*a - 1. Give z(k(o)).
4*o
Let p(g) be the second derivative of -7*g**5/30 + 7*g**3/3 + 4*g. Let q(r) be the second derivative of p(r). Let x(t) = -t. Calculate x(q(o)).
28*o
Let t(a) = a**2. Let w(u) = -13097*u. Give t(w(s)).
171531409*s**2
Let k(n) = -10*n**2. Let m(a) = 4*a**2 + 12*a**2 - 2*a**2 + 5*a**2 - a**2. Determine m(k(h)).
1800*h**4
Let c(l) = 2962*l**2. Let d(n) = 17*n**2 - 13. Determine d(c(a)).
149148548*a**4 - 13
Let x(v) = 5*v**2. Let c(f) = -2*f - 3. Let q(a) = -2*a - 2. Suppose 17 - 7 = -5*j. Let i(z) = j*c(z) + 3*q(z). Calculate x(i(k)).
20*k**2
Let w(a) be the second derivative of -11*a**4/12 - 20*a + 4. Let x(p) be the second derivative of -p**3/3 + 2*p. Determine x(w(o)).
22*o**2
Let g(u) = 13*u**2. Let c(a) = 109084*a. Calculate c(g(v)).
1418092*v**2
Let j(g) = -3*g - 1 + 1. Let r(u) = 285*u - 70. Let n(l) = -8*l + 2. Let i(q) = 35*n(q) + r(q). What is j(i(m))?
-15*m
Let g(y) be the first derivative of 0*y - 54 - 2/3*y**3 + 0*y**2. Let q(w) = 13*w**2. Determine g(q(u)).
-338*u**4
Let n(k) = 62*k**2 - 3*k. Let o(z) = 72*z. Calculate n(o(a)).
321408*a**2 - 216*a
Let g(w) = 7*w - 7*w + w**2. Let q(f) = 2 - 8 - 2 + 4*f + 8. Determine q(g(l)).
4*l**2
Let t(q) = -3*q**2. Let a(u) = 5*u. Let g(y) = 23 - 23 - 41*y. Let o(n) = 40*a(n) + 5*g(n). Determine t(o(s)).
-75*s**2
Let u(y) = 2*y**2. Let t(c) = 12*c - 83. What is u(t(v))?
288*v**2 - 3984*v + 13778
Let f(b) = b. Let m(j) = 2*j + 982. Let c(u) = u + 330. Let s(p) = -8*c(p) + 3*m(p). What is f(s(h))?
-2*h + 306
Let z(j) = 4*j. Let n(w) = -63*w + 115. Let d(c) = 32*c - 51. Let o(u) = -9*d(u) - 4*n(u). Give z(o(p)).
-144*p - 4
Let h(t) = 0*t - 40*t**2 + 0*t + 51*t**2. Let b(i) = i. Determine b(h(k)).
11*k**2
Let d(i) = 10*i - 5. Let h(z) = 9*z - 4. Let y(o) = -3*d(o) + 2*h(o). Let t(v) = v. Determine y(t(w)).
-12*w + 7
Let q(z) = z. Let y(s) = 6*s. Let b(u) = 3*q(u) - y(u). Let p(r) = -362*r + 2 + 360*r + 1 - 3. Give b(p(n)).
6*n
Let a(s) = 2*s. Let u(f) be the third derivative of -18*f**2 + 0*f**4 + 0*f**3 + 0 + 0*f + 1/4*f**5. What is a(u(l))?
30*l**2
Let c(y) = 0*y**2 + 5*y**2 - 4*y**2. Let f(u) be the first derivative of -4*u**3/3 - 8*u + 245. Give f(c(o)).
-4*o**4 - 8
Let a(n) = -22*n. Let d(r) = 441*r**2 - 81*r. Let q(t) = -11*t**2 + 2*t. Let y(v) = 4*d(v) + 162*q(v). Calculate a(y(c)).
396*c**2
Let m(b) = 5*b**2. Let k(a) = 4*a**2. Let i(n) = 7*k(n) - 6*m(n). Let f(y) = -3*y**2 - 3*y + 3*y + 14*y**2 + 6*y**2. What is i(f(g))?
-578*g**4
Let v(o) = 2*o. Let r(s) = 1574*s**2. What is v(r(c))?
3148*c**2
Let d(k) = -5*k**2. Let w(r) = -2*r**2 + 29423*r - 3. Give w(d(c)).
-50*c**4 - 147115*c**2 - 3
Let t(v) = 1837 + 3*v**2 - 1837. Let n(c) = 332*c. Determine t(n(p)).
330672*p**2
Let a be (-4)/(-14) + ((-515)/(-35) - 5). Let u(z) = -38*z + 10. Let x(k) = k - 1. Let q(l) = a*x(l) + u(l). Let i(c) = 2*c. What is i(q(f))?
-56*f
Let a = -1 + -4. Let z = a + 10. Let j(h) = h + z*h + h. Let i(y) = 2*y**2. Calculate i(j(o)).
98*o**2
Let m(c) be the third derivative of c**5/5 - 10*c**2 - 5. Let v(b) = -2*b**2. Determine v(m(f)).
-288*f**4
Let a(w) = 3*w. Let j = 23 + -21. Let h(k) = 8*k**j + 8*k**2 - 15*k**2. What is a(h(u))?
3*u**2
Let y(s) = 279*s + 2. Let c(x) = 424*x. Give y(c(h)).
118296*h + 2
Let u(j) = 34*j**2 + 6*j. Let z(l) = -23*l. Let p(t) = -19*t. Let r(b) = 6*p(b) - 5*z(b). What is r(u(g))?
34*g**2 + 6*g
Let z(b) = 3*b + b + b. Let n(r) be the first derivative of -13*r**3/3 - 105. Calculate n(z(u)).
-325*u**2
Let k(g) = 18*g. Let p(a) = 6*a. Let y(z) = -5*z. Let l(s) = -4*p(s) - 5*y(s). Calculate k(l(u)).
18*u
Let z(h) be the first derivative of -h**2/2 + 9*h + 2. Let q(y) = -3*y + 2*y - 4 + 4. Determine q(z(u)).
u - 9
Let y(c) = c**2. Let p(r) = 218 - 97*r**2 - 218. What is y(p(m))?
9409*m**4
Let y(u) = -2*u - 57. Let h(c) = 133*c**2 + 3*c + 2. What is h(y(v))?
532*v**2 + 30318*v + 431948
Let i(s) = -16*s. Let a(z) = -9*z**2 - 7*z. Let l(c) = -c. Let v(r) = -5*r**2 - 8*r. Let x(j) = 4*l(j) - v(j). Let b(n) = -4*a(n) - 7*x(n). Give b(i(k)).
256*k**2
Let z(j) be the third derivative of 0 - 1/6*j**4 + 0*j + 21*j**2 + 0*j**3. Let l(v) = v**2. What is z(l(o))?
-4*o**2
Let i(b) = -b. Let z(d) = -3537*d**2 - 5. What is i(z(j))?
3537*j**2 + 5
Let c(i) = 2*i. Let x(v) = -5*v**2 - v - 2. Let t(f) = -2*f**2 + f + 2. Let g(k) = t(k) + x(k). What is c(g(j))?
-14*j**2
Let h be (35/(-56))/(-5) + 1615/8. Let u(x) = h*x + 207*x - 404*x. Let y(d) = -22*d. Give y(u(j)).
-110*j
Let q(f) = -51005*f + 51005*f - 3*f**2. Let o(b) be the second derivative of -5*b**4/4 + b. Determine o(q(i)).
-135*i**4
Let r(n) = 9 - 3*n + 11 - 20. Let w(a) = -a**2. Let j(m) = m**2. Let v(y) = 4*j(y) + 3*w(y). Calculate r(v(q)).
-3*q**2
Let y(u) be the first derivative of -u**3/3 + 16. Let p(s) = -3*s**2 + 2*s + 2. Let m(q) = -5*q**2 + 5*q + 5. Let n(o) = -2*m(o) + 5*p(o). Calculate n(y(x)).
-5*x**4
Let u(i) be the third derivative of -i**4/24 - i**2. Let j(l) = -7*l**2 - 5*l - 5. Let r(h) = 4*h**2 + 3*h + 3. Let w(v) = -3*j(v) - 5*r(v). Give w(u(s)).
s**2
Let r(n) = n**2 - 2*n. Let q(h) = 2172*h**2 - 5068*h. Let s(i) = -2*q(i) + 5068*r(i). Let a(d) = -2*d**2. Determine a(s(y)).
-1048352*y**4
Suppose 5*l + 40 = 2*u - 2, -l = 0. Let j be 98/u - 2/3. Let m(q) = 6*q - 7*q + j*q. Let b(g) = -4*g**2. Give m(b(a)).
-12*a**2
Let b(v) = 3*v**2. Let c(m) = -37 + 12*m**2 + 119 - 37 - 42. What is b(c(k))?
432*k**4 + 216*k**2 | {
"pile_set_name": "DM Mathematics"
} |
ltiple of 23?
True
Does 71 divide 14211715?
True
Does 26 divide 470295?
False
Is 21049 a multiple of 7?
True
Is 27 a factor of 289278?
True
Is 199 a factor of 432626?
True
Is 105 a factor of 434515?
False
Does 27 divide 169614?
True
Is 128 a factor of 499738?
False
Does 228 divide 1392298?
False
Is 814960 a multiple of 2?
True
Does 625 divide 2588037?
False
Does 21 divide 226737?
True
Is 7 a factor of 229888?
False
Does 80 divide 46731?
False
Does 189 divide 3417990?
False
Is 291 a factor of 490917?
True
Does 34 divide 66803?
False
Is 4675 even?
False
Is 5284800 a multiple of 180?
True
Is 1178748 a multiple of 411?
True
Is 145 a factor of 644090?
True
Is 54634 a multiple of 463?
True
Does 92 divide 130320?
False
Does 19 divide 72371?
True
Is 93 a factor of 2139?
True
Does 44 divide 239194?
False
Does 121 divide 60137?
True
Is 10 a factor of 289700?
True
Is 134 a factor of 3150057?
False
Is 28 a factor of 20107024?
True
Is 1608997 a multiple of 793?
True
Is 2 a factor of 583049?
False
Is 42409 a multiple of 16?
False
Is 315 a factor of 933544?
False
Is 179 a factor of 3222?
True
Is 1221693 a multiple of 7?
False
Is 37 a factor of 113812?
True
Is 14 a factor of 3222646?
True
Is 200 a factor of 1753200?
True
Is 143977 a multiple of 10?
False
Is 143 a factor of 85085?
True
Is 38 a factor of 335502?
True
Is 16 a factor of 2598823?
False
Does 13 divide 281411?
True
Does 86 divide 1311469?
False
Is 206 a factor of 1380505?
False
Is 6557183 a multiple of 30?
False
Is 776 a factor of 533888?
True
Does 44 divide 722691?
False
Does 37 divide 142180?
False
Is 54 a factor of 95688?
True
Does 294 divide 223440?
True
Does 447 divide 1520626?
False
Is 7 a factor of 75660?
False
Is 83 a factor of 4482?
True
Does 6 divide 2092944?
True
Is 22 a factor of 490982?
False
Is 12 a factor of 377818?
False
Is 8852064 a multiple of 312?
True
Is 14 a factor of 378714?
True
Is 29574 a multiple of 53?
True
Is 1161474 a multiple of 51?
True
Is 108 a factor of 216630?
False
Is 544986 a multiple of 296?
False
Is 5 a factor of 25664?
False
Does 61 divide 631566?
False
Does 33 divide 2217251?
False
Is 76153 a multiple of 43?
True
Does 927 divide 8482977?
True
Is 98 a factor of 25782?
False
Is 387168 a multiple of 327?
True
Is 89 a factor of 1650594?
True
Is 154 a factor of 131054?
True
Is 32006 a multiple of 20?
False
Is 17646771 a multiple of 263?
False
Does 4 divide 4277148?
True
Is 104100 a multiple of 100?
True
Is 104797 a multiple of 7?
True
Is 8 a factor of 821944?
True
Does 8 divide 7508?
False
Does 21 divide 302106?
True
Is 9637310 a multiple of 10?
True
Is 64141 a multiple of 14?
False
Does 7 divide 5605?
False
Is 33 a factor of 367801?
False
Is 237472 a multiple of 16?
True
Is 835927 a multiple of 13?
False
Does 159 divide 812834?
False
Is 15 a factor of 583095?
True
Does 8 divide 1492077?
False
Does 412 divide 1011048?
True
Does 20 divide 255778?
False
Does 688 divide 2112848?
True
Is 2622459 a multiple of 174?
False
Is 799116 a multiple of 14?
False
Is 130 a factor of 6030593?
False
Is 187661 a multiple of 38?
False
Does 815 divide 5086415?
True
Does 26 divide 246116?
True
Is 5 a factor of 8781951?
False
Does 60 divide 31488?
False
Does 30 divide 900150?
True
Does 32 divide 241888?
True
Is 8272260 a multiple of 200?
False
Is 656 a factor of 2779825?
False
Is 3481056 a multiple of 288?
True
Does 97 divide 1002495?
True
Is 559825 a multiple of 245?
True
Does 166 divide 3773346?
True
Does 17 divide 122984?
False
Is 775755 a multiple of 5?
True
Is 4 a factor of 203174?
False
Is 13 a factor of 798573?
False
Does 31 divide 94054?
True
Does 26 divide 9614657?
False
Is 7 a factor of 2293537?
False
Does 9 divide 1257831?
True
Does 310 divide 343170?
True
Is 666094 a multiple of 274?
True
Is 84 a factor of 588?
True
Is 119 a factor of 1194340?
False
Does 11 divide 1599209?
False
Does 698 divide 21645914?
False
Does 14 divide 8945098?
False
Does 49 divide 381465?
True
Is 13500 a multiple of 50?
True
Does 38 divide 19266?
True
Is 16286030 a multiple of 51?
False
Is 12 a factor of 93984?
True
Is 20 a factor of 9317600?
True
Is 2409 a multiple of 73?
True
Does 80 divide 5674706?
False
Is 86301 a multiple of 387?
True
Is 752 a factor of 1942474?
False
Does 11 divide 110227?
False
Is 18 a factor of 19192230?
True
Does 32 divide 10610304?
True
Is 12 a factor of 62697?
False
Does 230 divide 120060?
True
Is 170568 a multiple of 3?
True
Does 107 divide 3066941?
True
Is 119 a factor of 65581?
False
Does 33 divide 2692602?
True
Is 5 a factor of 2113873?
False
Is 68 a factor of 6542053?
False
Is 30236 a multiple of 4?
True
Is 57 a factor of 17613?
True
Is 117 a factor of 4366440?
True
Is 245928 a multiple of 8?
True
Is 237310 a multiple of 55?
False
Is 141 a factor of 1751502?
True
Is 10086246 a multiple of 519?
True
Does 5 divide 35616?
False
Is 267066 a multiple of 209?
False
Is 239556 a multiple of 103?
False
Is 88 a factor of 1126400?
True
Is 591336 a multiple of 573?
True
Does 760 divide 233349?
False
Is 180096 a multiple of 134?
True
Is 101925 a multiple of 225?
True
Does 40 divide 977894?
False
Is 155 a factor of 22259085?
True
Is 440380 a multiple of 97?
True
Does 666 divide 356976?
True
Is 38 a factor of 227154?
False
Is 357720 a multiple of 120?
True
Is 3 a factor of 66706?
False
Is 353 a factor of 2271202?
True
Is 3 a factor of 126366?
True
Is 1089597 a multiple of 95?
False
Is 221591 a multiple of 5?
False
Does 63 divide 2103948?
True
Is 15 a factor of 42435?
True
Does 12 divide 88425?
False
Is 196 a factor of 328675?
False
Is 15993342 a multiple of 55?
False
Is 18 a factor of 1642619?
False
Is 4876098 a multiple of 6?
True
Is 22 a factor of 11107660?
False
Does 8 divide 3480?
True
Is 476159 a multiple of 361?
True
Does 617 divide 2374151?
False
Is 33 a factor of 740245?
False
Is 41136 a multiple of 12?
True
Is 1302 a factor of 3445092?
True
Is 19 a factor of 140923?
True
Does 22 divide 745788?
False
Is 200 a factor of 57800?
True
Is 56611 a multiple of 2?
False
Does 14 divide 235578?
True
Does 39 divide 51144?
False
Is 6584047 a multiple of 16?
False
Is 11 a factor of 287725?
False
Does 489 divide 2700219?
False
Is 108036 a multiple of 129?
False
Does 122 divide 199589?
False
Is 10496108 a multiple of 673?
True
Is 1672359 a multiple of 39?
True
Is 608 a factor of 251712?
True
Is 34 a factor of 287130?
True
Is 50 a factor of 20862?
False
Is 12 a factor of 418103?
False
Does 190 divide 48830?
True
Is 46 a factor of 1623493?
False
Is 18515566 a multiple of 176?
False
Does 31 divide 311873?
False
Is 4109693 a multiple of 8?
False
Does 256 divide 1416108?
False
Is 1011633 a multiple of 22?
False
Is 251762 a multiple of 49?
True
Is 3 a factor of 58429?
False
Is 118 a factor of 240012?
True
Does 42 divide 414456?
True
Does 5 divide 20787?
False
Does 152 divide 41040?
True
Is 154 a factor of 13960408?
True
Does 6 divide 3915?
False
Is 9 a factor of 1880095?
False
Does 9 divide 25690784?
False
Does 149 divide 554280?
True
Does 629 divide 3888006?
False
Is 210 a factor of 693655?
False
Is 12 a factor of 103597?
False
Is 14 a factor of 49531?
False
Is 91807 a multiple of 200?
False
Does 21 divide 317983?
False
Does 9 divide 362046?
False
Is 10 a factor of 3312281?
False
Is 403512 a multiple of 86?
True
Is 254 a factor of 33020?
True
Is 137 a factor of 60554?
True
Is 149288 a multiple of 8?
True
Does 29 divide 15202583?
True
Does 2 divide 76347?
False
Is 1998994 even?
True
Does 833 divide 1825936?
True
Is 42 a factor of 417354?
True
Does 39 divide 22330?
False
Does 9 divide 34557?
False
Is 113 a factor of 364764?
True
Is 774 a factor of 9139808?
False
Is 16 a factor of 477216?
True
Is 104 a factor of 13754?
False
Is 294 a factor of 136040?
False
Is 50692 a multiple of 199?
False
Is 3408866 a multiple of 56?
False
Is 299164 a multiple of 61?
False
Is 798275 a multiple of 45?
False
Is 202 a factor of 7204734?
True
Does 127 divide 375031?
True
Does 6 divide 439363?
False
Is 629 a factor of 961112?
True
Is 111 a factor of 1727025?
False
Does 111 divide 201050?
False
Is 124936 a multiple of 56?
True
Is 258 a factor of 11034402?
True
Is 21 a factor of 88640?
False
Does 649 divide 1739320?
True
Does 8 divide 290870?
False
Is 464800 a multiple of 14?
True
Does 19 divide 8881170?
True
Is 474 | {
"pile_set_name": "DM Mathematics"
} |
olve -4*i - l - 8 = 0, 3*i + 0 = 5*l + 17 for i.
-1
Solve -5*y - 4*t = 35, 9 - 24 = 3*t for y.
-3
Solve -o = 4*z - 20, 4*o + 3*z + 0*z = 28 for o.
4
Solve -p - 15 = -5*b, 2*p - 5*b + 15 = 6*p for p.
0
Solve -2*w + 3*b = 17, 5*b - 5 = 10 for w.
-4
Solve 0 = q + 2*c - 67 + 60, 2*q + 3*c - 12 = 0 for q.
3
Solve 5*h = 25, -6*k - 4*h + 10 = -11*k for k.
2
Solve 0 = -3*v + 4*g - 15, -2*g - 8 = -v - 5*g for v.
-1
Solve 9*d - 10*d - 21 = -5*v, -5*d + 5 = -3*v for v.
5
Solve -2*x + 4 = 5*f + 15, 5*f + 15 = 0 for x.
2
Solve 0 = 4*i + 3*j - 32, -581*i + 2*j = -585*i + 28 for i.
5
Solve 4*p - 7 = -2*g - 25, 0 = 2*p + 5*g + 5 for p.
-5
Solve 2*p + 16 = 3*i, -2*i + 6*i - 5*p = 26 for i.
4
Solve -5*b = 3*d - 1, 0*d - 2 = 2*d + 4*b for d.
7
Solve 0 = 5*q + 4*k + 19, 2*k = 2*q - 1 + 5 for q.
-3
Solve 0 = -2*z + 3*n + 6, z - 5*n - 12 = -3*z for z.
3
Solve 52*o - 4*i - 8 = 49*o, 0 = 4*i - 16 for o.
8
Solve 2*t + 3*f - 6 = 0, 3*t - 4 - 7 = -5*f for t.
-3
Solve q + 4 = 4*y + 8, -2*y - 16 = 3*q for y.
-2
Solve l + 0*b + 2*b + 1 = 0, -2 = -b for l.
-5
Solve 3*j + 4 - 19 = 3*i, -16 = 2*i - 5*j for i.
-3
Solve 4*v + w = -3, 0 = 2*v + w + 4 - 5 for v.
-2
Solve -15 = -4*n - d - 20, -5*n + 4*d - 1 = 0 for n.
-1
Solve -3 = 3*b - 4*n, 2*b = -0*b - 4*n - 2 for b.
-1
Solve 12 = -4*m + 3*k, -3*m - k - 12 = -3 for m.
-3
Solve -2*r + 2*a = -1 + 3, 2*r + 2*a = 10 for r.
2
Solve m + 4*b + 4 = 0, 5*m = -b + 8 - 9 for m.
0
Solve 3*i + 31 - 14 = -4*s, -5*i = -5*s - 30 for s.
-5
Solve -y = -3*x + 5, y + 2*x = -3*x + 19 for y.
4
Solve -f - 5*m - 31 = -5*f, 0 = f - m - 7 for f.
4
Solve 4*q = 4*z + 28, 47*q - 52*q + 3 = 3*z for z.
-4
Solve 2*l = 3*l + 2*b, 3*l = 2*b - 16 for l.
-4
Solve -3*p + 3*k = k, 0 = 2*p - 3*k for p.
0
Solve -3*l = -l + 8, -4*f - l + 12 = 0 for f.
4
Solve 8 = 2*k + 4*l, 5*l + 5 = 6*k - k for k.
2
Solve k - 2 = a, -k + 28 = -5*k - 5*a for k.
-2
Solve -3*i - 5*p = 8, 2*p + 0 = -5*i + 12 for i.
4
Solve -4*n - 18 = -2*c, 8 = -5*n - 2*c - 1 for n.
-3
Solve t - 6 = -2*t, 4*t - 14 = -2*v for v.
3
Solve -4*b - 308 = -j - 305, j - 3 = 2*b for b.
0
Solve 4*f = 3*c + 28, -3*f - 8 = 5*c - 0*c for f.
4
Solve -14 = -4*r - k, -3*r = -2*r + k - 5 for r.
3
Solve -2*m + 4*h = 20, 3*m + m + 16 = 2*h for m.
-2
Solve -4*d + 19 = -5*w + 7, 0 = -2*d - 2*w + 6 for d.
3
Solve -w + 11 = -4*k - 0*w, -2*k = -2*w + 4 for k.
-3
Solve 4*j - 6 = -3*c + 7*j, -j = 5*c + 8 for c.
-1
Solve 0 = -3*c - 5*i - 13, c + 6*i + 16 = 2*i for c.
4
Solve 2*z + 3 = b, -4*b = 44*z - 42*z + 28 for b.
-5
Solve -4*g = -7*v + 2*v, 4*g = v - 16 for v.
-4
Solve -5*c + 50 = -5*d, 3*d = -7*c + 4*c + 6 for c.
6
Solve 0 = 5*b + 5*f - 3*f + 13, -5*b - 5*f - 25 = 0 for b.
-1
Solve -p - 14 = -3*r, -5*r = -p - 2*p - 26 for r.
4
Solve -k = 5, -4*k = 2*d - 5*d + 11 for d.
-3
Solve -4*d + h - 19 = 0, -5*d + h = 6 + 18 for d.
-5
Solve -5*b - 20 = -t, 8*t - 24 = 3*b + 5*t for b.
-3
Solve 2*v - 4 = -5*z - 10, -3*z + 3 = -v for v.
-3
Solve 5*r - 35 = 14*v - 9*v, 25 = -4*v + 3*r for v.
-4
Solve f - 16 = -3*l, 3*l - 4 = 5*f - 12 for l.
4
Solve 4*f - 2 = 5*v, -39*v + 2 = -3*f - 37*v for f.
-2
Solve 7*x = 2*x - 5, -16 = -3*y + 4*x for y.
4
Solve b = 5*x + 2, 5 = -3*b - 3*x - 7 for b.
-3
Solve 0 = -3*y - 2*w + 23, -2*y + 3*y + 11 = 4*w for y.
5
Solve 4*t - 22*g = -27*g + 25, -3*t = -5*g - 10 for t.
5
Solve 23 = -2*u + 5*g, u + 4*g - 21 = -0*u for u.
1
Solve -2*a - 12 = -2*c - 10, a = -3*c + 19 for c.
5
Solve 5*d - m = -4, -81*m = 4*d - 82*m + 3 for d.
-1
Solve -y + 19 = 4*a, -2 - 13 = -5*y for a.
4
Solve -3*j = 2*q - 4*j, 4*j - 20 = -2*q for q.
2
Solve -5*u - 25 + 1 = -r, 0 = -3*u - 3*r for u.
-4
Solve 5*j + 6 = 3*k, 3*j + 2*k - 4 = -j for j.
0
Solve -2*h - a = 13 - 6, 2*h + 3 = 3*a for h.
-3
Solve 5*p = 3*z - 20, 0 = z - 2*p - 10 + 2 for z.
0
Solve 0 = -2*z + 4*d - 20, -4*z + 3*d - 31 = -2*d for z.
-4
Solve 3*l - 4*i + 12 = -2*l, -2*l + 3*i = 2 for l.
-4
Solve 2*b + 4 = -3*z, -2*b = z + 2*b - 2 for z.
-2
Solve -2*d = 4*h - 6 - 0, 3*d = 3*h + 9 for h.
0
Solve 5*s - 13 = 3*b, -2*b + 7 = -1 for s.
5
Solve o + 15 = 4*f, -21*o + 26*o + f = 30 for o.
5
Solve 2*b + 10 = 5*u, 0 = -b - 54*u + 50*u + 8 for b.
0
Solve 2*z = s - 1, -2*z + 5*z = 5*s - 5 for s.
1
Solve 2*o - 21*t = -25*t + 20, 3*o - 2*t = 6 for o.
4
Solve v - 4 = 0, 3*r - 4*v + 0*v + 1 = 0 for r.
5
Solve 3*m + 24 = 4*t, -4*m = -13*t + 11*t + 22 for t.
3
Solve -2*b + 3*b + 3*t = -8, -3*t - 13 = -4*b for b.
1
Solve -2*a - 10 = 0, 0 = 5*y + 3*a - 7*a for y.
-4
Solve 23 - 26 = -q + 2*w, 4 = -4*q + 4*w for q.
-5
Solve 4*g = -r + 4, 0 = r - 0*r for g.
1
Solve 401*g - 396*g - 5*q - 30 = 0, 2*q = -4 for g.
4
Solve -2*a + 8 = -4*l, -10*a - 8 = -12*a - l for a.
4
Solve -23 = -o - 28, -4*o = -c + 17 for c.
-3
Solve -19*l + 20*l + 2 = 0, -2*q - 2*l + 8 = 0 for q.
6
Solve -4*i - 23 = -s, -168*i + 171*i - 4*s + 27 = 0 for i.
-5
Solve 10*y - 7*y + 2*n = -11, -14 = 2*y + 3*n for y.
-1
Solve 0 = -2*v + 4*o - 8, -2*v - 4*o + 8 = -3*v for v.
0
Solve -r - 2 = -5*z, 0 = z + 12*r - 15*r - 6 for z.
0
Solve 0 = 5*h - 3*x + 19 - 3, -13 = 5*h - 4*x for h.
-5
Solve -5*u + 50 = 40, 0 = 2*j + 2*u - 4 for j.
0
Solve x - 4*g - 15 = 0, g = 2*x + 4 + 1 for x.
-5
Solve -3*w - 13 = -0*w - 2*a, 4*w - a = -19 for w.
-5
Solve 17*y = 14*y - 4*f - 16, 2*y - 4*f - 16 = 0 for y.
0
Solve -3*q - 225 = -2*b - 242, -29 = -5*q + 4*b for q.
5
Solve c + 8*x = 4*x - 4, 4 = -c + 4*x for c.
-4
Solve 3*h = 4*h - 5*d - 4, 3*h = -4*d + 12 for h.
4
Solve 5*y + 3*p + 6 = 0, 2*y + 2*y = 4*p - 24 for y.
-3
Solve b - 4 + 6 = 5*x, 2*x - 6 = 3*b for x.
0
Solve 0 = 4*j - 3*g + 32, 0 = 2*j - g + 4*g - 2 for j.
-5
Solve -2*s = 5*y + 35, 4*s = 4*y - y - 5 for y.
-5
Solve 2*t - 3 = d - 18, -33 = 4*t - 5*d for t.
-7
Solve 2*w + 5*j = 16 - 0, j = 3*w + 10 for w.
-2
Solve -g = -w, 5*w - 3*g - 15 + 7 = 0 for w.
4
Solve 4*z = -18 + 22, -4*k - z + 17 = 0 for k.
4
Solve 0 = -3*b + 3*v - 15, b = -0*b - 4*v + 10 for b.
-2
Solve v - 20 = -y - 3*v, -v - 8 = -3*y for y.
4
Solve 17*t + 5 = p + 15*t, -1 = -3*p - t for p.
1
Solve -3*z + 20 = -2*r, 8*r - 12*r - 20 = -z for r.
-4
Solve 3 = 4*w + 3*h, -9 = -3*w - 3*h - 3 for w.
-3
Solve 4*n - 4*m + 1 - 5 = 0, -3*n - 1 = -2*m for n.
-3
Solve 0 = 25*x - 28*x + r - 11, -x - 3*r = 17 for x.
-5
Solve 4*m - 51*f + 49*f - 18 = 0, -3 = -3*m - 2*f for m.
3
Solve -l + 9 = -2*h - 1, 7*l - 50 = 4*h for l.
6
Solve s + 2*d = -2, -4*d + 3 = -s - 5 for s.
-4
Solve 5*f + r - 6*r + 25 = 0, -5*f - 2*r = -17 for f.
1
Solve -4*c - 6 = -2*n, n + 23 = -2*c - 2*n for c.
-4
Solve 5*t = -n - 7 + 28, -4*n - 4*t + 4 = 0 for n.
-4
Solve -2*c + 15 = 5*w, 6 = -2*c - 3*w + 19 for c.
5
Solve -24 = -5*p + 3*y, 6*p - 2*y - 21 = p for p.
3
Solve -2*j - 23 = -2*r - 7, -j = -5*r + 20 for r.
3
Solve 4*x - q + 3 = 5*x, -3*x - 4*q = -7 for x.
5
Solve -2*j = -t - 5, -3*t - 13 = -12*j + 7*j for t.
-1
Solve 2*m = -3*v - 6, 5*v - 11 = 3*m - 2 for v.
0
Solve -2 = x - o, -4*x = -12*o + 11*o + 14 for x.
-4
Solve 30 = -3*m - 69*k + 66*k, -3*m + 2*k = 5 for m.
-5
Solve 0*w = 3*f + 2*w - 12, 12 = 3*f - w for f.
4
Solve -5*d + 5 = -5*v, 4*v = -3*d + 6*d - 8 for d.
-4
Solve v - 5*d - 11 = 4*v, d = v - 7 for v.
3
Solve 3 = -4*i + 5*f - 9, 0 = -4*i - f + 12 for i.
2
Solve -b + 5*r = -7, 0 = -b + r - 5*r - 11 for b.
-3
Solve -4*j + 13 = -3*v, -6 = -j - 2*v - 0*v for j.
4
Solve 3*g - p - 1 = 0, -3*p = 4*g + 2*p - 14 for g.
1
Solve 3*g = -j - 15, -5*j + 4*g - 3 = g for j.
-3
Solve -2*q + 11 = 5*s, q + 15 = 5*s + 13 for s.
1
Solve -5*f - 16 = 2*t, -4*t + f - 18 = 4*f for t.
-3
Solve 3*o - 24 = -6*g - 9, 0 = -2*g + 5*o + 23 for g.
4
Solve -11 = 5*q + w, -3*q = -2*w + 11 - 7 for q.
-2
Solve -2*r = -5*o - 26, -126*r + 128*r - 6 = 0 for o.
-4
Solve o - v = 6, 5*o + 4*v - 4 = -46 for o.
-2
Solve 3*l + 5 = -4*b, -7*b - 2*l = -10*b - 25 for b.
-5
Solve -3*o + 19 = 4*r, r - 9 = -5*o - 0*r for o.
1
Solve -5*u - 4*w = 16, 20 = -3*u - u + 4*w for u.
-4
Solve 0 = -2*g - 3*y - 4, 0*g = -3*g - 3*y - 6 for g.
-2
Solve -j = -h + 4, 5*j - 3*h + 5 = -17 for j.
-5
Solve 3*n - 22 = -4*t, -21*n + 17*n - 3*t = -20 for n.
2
Solve 2*i = t - 14, -8 = -0*t + 3*t + 4*i for t.
4
Solve 4 = j + 2*w, -39*w + 44*w = -5*j for j.
-4
Solve -13 = -3*o - 4*q - 29, -q - 4 = -4*o for o.
0
Solve 57*f - 10 = 59*f - 3*b, -8 = -4*f - b for f.
1
Solve 0 = -3*h - 3*p - 3, 3*h - 5*p = -p + 18 for h.
2
Solve -4*i = | {
"pile_set_name": "DM Mathematics"
} |
4*p + 28, j - 11*p = -i*p - 13 for j.
-4
Suppose 892 = 4*n + t - 5*t, 3*n = -t + 677. Let m = -220 + n. Solve o = -4*o - m*h + 15, -o - 4*h + 3 = 0 for o.
3
Let b be 1/(-5) - 224/(-20). Let m(v) = -v**3 + 12*v**2 - 12*v + 12. Let a be m(b). Solve 0 = -4*r - 4*j + 8, 5*r - a = -3*j + 3 for r.
-1
Let r = 438 - 259. Suppose -r*x + 181*x = 14. Suppose 211 = x*c + 1. Solve 2*d = 5*y - c + 3, 0 = -4*d - 3*y + 11 for d.
-1
Suppose -2*g + 10 = 2. Let a(s) = -22*s - 616. Let t be a(-28). Solve -5*i - g*h + 6 = t, -5*h = -i - h + 6 for i.
2
Let v be (41/(-82))/(2/(-4)). Let m be (v - 24/18)*0. Solve -2*j - 12 = -3*z - 1, 2*z - 2 = m for j.
-4
Let s be (0/(-13) - -2) + 2. Solve 10 = -5*l, -s*l - 17 = 3*r - 6*r for r.
3
Let m = 1221 - 1217. Solve 5*g = 3*h - 16, 3*g - m*h = -5*h - 18 for g.
-5
Let p(d) = -d**3 + 7*d**2 + 36*d - 39. Let w = 619 + -609. Let f be p(w). Solve -f = c - 5*a, 2 = 4*c - 4*a + 6 for c.
4
Let y = 14 + -7. Suppose 0 = -84*i + 29272 - 460. Let c = i - 343. Solve 4*m - 4 = 0, c*h + 2*h - 5*m + y = 0 for h.
-1
Suppose 0 = -2*z, -61*z + 62*z = 3*d. Suppose -4*c + 4 = -4. Suppose 3*y = 5*m - 0*m - 5, -c*y - 6 = -4*m. Solve s + y = 0, -2*j + d*j + 16 = -2*s for j.
3
Let m = -122 - -68. Let u be (9/(m/(-48)))/2. Solve 2*o + 4*s = 26, 2*o = o + u*s - 11 for o.
5
Let n(t) = t - 3. Let q be n(0). Let c(a) = -2*a + 13. Let v be c(-27). Let h be (-8)/6 - v/q. Solve b - 2*b + 3*i - 12 = 0, 4*i = 3*b + h for b.
-3
Let g be 1472/(-208) + (-2)/(-26). Let s be 1*6*g/(-21). Solve -s*v = -3*j + j + 6, -5*v = j + 9 for v.
-2
Let m be (6688/133 - (-2)/(-7)) + -4. Let y = 53 - m. Solve 2*q = s + 8, -4*q + 3*s = -11 - y for q.
3
Let u = -32058 - -32147. Solve -2*q - u = 4*a - 101, a + 4*q - 17 = 0 for a.
1
Let k be (135/(-30))/(-1 - (-2)/4). Let n be (k/12)/((-4)/(-32)). Solve 3*h - h + 5*y + 12 = 0, y + n = -4*h for h.
-1
Let y = -96 - -55. Let j = 46 + y. Let z = 5 - j. Solve w - 3*r - 5 = z, -3*w + 3*r - r = -8 for w.
2
Let o = 4076 - 4054. Solve 26*i - o*i + 20 = -f, 5*f = -i - 24 for f.
-4
Let s(i) = i**3 + i**2 + 2*i - 28. Let v be s(0). Let q be (8/v - 0) + (-48)/(-21). Solve 0 = z - 2*l - 5, 0 = -l - q*l for z.
5
Let h be (0/(1*2/(-4)*10))/1. Solve -3*r = -5*f - 31 + 26, h = 5*f + 3*r + 5 for f.
-1
Let r(y) = y**2 - 5*y - 2. Let w be r(5). Let f be (-12)/(-2) - (-2)/w. Let m = 617 - 617. Solve 2*h - 3*i = -8*i - 30, m = 4*h + f*i + 40 for h.
-5
Suppose 2*z - y = -z + 67, 0 = 2*z + 4*y - 40. Suppose q + 13*k + 10 = 18*k, -5*q + k + z = 0. Solve -4*o - 20 = -3*p, q*o - 4*p = -0*p - 26 for o.
-2
Let y(b) = 2*b**2 + 10*b + 2. Let g be y(-5). Solve -14 = 4*t - 3*k, g*k - 5 = -4*t - 29 for t.
-5
Let k(b) = 1. Let z(v) = -2*v - 2. Let r(l) = -6*k(l) + z(l). Let d be r(-6). Let i be 40/(2440/61)*(-3)/6*-6. Solve -i = 3*u + o + 3*o, -4*u - d = 3*o for u.
-1
Suppose -2*w - p = -43, -3*p + 61 = -39*w + 41*w. Solve -11*n + 7*n - w = -g, 3*n - 5*g + 34 = 0 for n.
-3
Let r be -1 + 1/(1/3). Let m(o) = o**3 - 23*o**2 - 16*o + 10. Let f be m(-1). Solve 2*z = -r*p - 4, -f*z - z = -p + 10 for z.
-3
Let v(r) = r**3 + 12*r**2 - 28*r + 3. Let t be v(2). Solve 4*m + 4*y = 0, -t*y + 7 + 21 = -4*m for m.
-4
Suppose 13*v + 866 = 905. Solve -2*g + 2 = -5*z, -20*z - v = -3*g - 22*z for g.
1
Let r = 243 + -393. Let h = r + 154. Suppose 0 = 4*i - i - 9. Solve -2*u + 3*b + h = 0, -1 + i = -b for u.
-1
Let p be (-1)/((-225)/20 + 11). Solve 0 = p*f - 17 + 5, -2*z - 9 = -5*f for z.
3
Let y be -4*(-4 + 5) + (1 - -6). Suppose 8*l - q - 39 = 4*l, -y*q - 27 = -3*l. Solve -t = -2*m - 1 + 4, 3*t - 5*m = -l for t.
-5
Suppose 0 = c - 3*p + 11, -11 - 34 = -5*c - 5*p. Solve -3*j + c*v = 23, -2*j + 2*v = -6*j - 16 for j.
-5
Let t(n) = -n**3 - 14*n**2 + 38*n + 70. Let j be t(-17). Let w = j - 275. Solve -k + z + 2 = 0, 5*z = 3*k - w - 0 for k.
-3
Let q = 142 - 137. Suppose 22 = 4*v + s - 2*s, -q*v + 5*s + 35 = 0. Let z be v*(4 - (-1 + 1) - 3). Solve 0 = -5*g - 3*m - m + 14, z*m + 3 = 4*g for g.
2
Let t(v) = 3*v + 12. Let l be t(-3). Solve 2*k - 26*j = -27*j + l, 15 = 5*k + 5*j for k.
0
Let v = 188 - -216. Let f = 409 - v. Solve 0 = 4*h - 3*o - 32, f*o - 4 - 1 = -5*h for h.
5
Let o be 250/20*(-1 - -3). Suppose 3*n + 15 = 2*g + 4*n, 5*n = 3*g + 10. Solve o = g*f - 5*b, 2*b + 0*b = -6 for f.
2
Let u(s) = 1385*s - 6920. Let i be u(5). Solve 0 = -4*r - i*v + 15, 31*r - 30*r = -3*v + 2 for r.
5
Suppose -q = 3*b - 74, 3*b = -5*q + 271 + 123. Suppose 2*s = 4*s - 98. Let a = q - s. Solve 0 = -5*g + 3*z + a, 3*z = 3*g - 4*g - 1 for g.
5
Let m be (54/36)/((-2)/(-3 - 1)). Let w(k) = k**3 - 9*k**2 - 13*k - 3. Let a be w(10). Let f = -30 - a. Solve 0 = 2*y + 2*j - m*j, 0 = f*y - 3*j - 3 for y.
-1
Suppose 3*f - 5*f + 2 = -4*a, 4*f - a - 11 = 0. Let z = 15974 + -15970. Solve -3*q = 3*p + 15, -13 + 29 = -f*q - z*p for q.
-4
Let u be (-200 + (-15)/5)*(-3 - (-60)/21). Solve 31*l + k = u*l - 2, -5*k + 20 = 0 for l.
-3
Suppose 0 = -4*h + 364 + 12. Let s be h/18 + (-40)/180. Solve 0 = 4*m - s*w + 18, 0 = -0*w + w - 2 for m.
-2
Suppose -133 = -4*j - 2*r + 97, -r = 3*j - 171. Solve 0 = -5*f - 5*v + 25, -f - 54*v = -j*v - 2 for f.
4
Suppose 5*l = f + 17, 0 = -43*l + 41*l + f + 8. Solve m - v = 0, l*m - 8*m + 6 = v for m.
1
Suppose 625 = -2*f + t, 2*f + 637 = -0*f + 5*t. Let k = f + 314. Solve 3*z - 7 = k*o + 2, 4*o = 5*z - 16 for z.
4
Suppose -41*x + 210 = x. Suppose -12 + 18 = 3*w. Suppose w*s = -0*s, 0 = -4*q - 5*s + 12. Solve -5*m - 20 = -k, q*m = 6*m + x*k + 12 for m.
-4
Let j(k) = k**3 - k + 66. Let p be j(0). Let u(o) = o**2 - 4*o + 38. Let x be u(8). Let h = x - p. Solve 0*l - h*y - 16 = 2*l, 0 = -5*l + 4*y + 2 for l.
-2
Suppose 4*u - 7 = 1. Suppose 5*k - 5 = 0, -k - 1 = -u*x - 6. Let g = x - -33. Solve -5*t - g = -s + 4*s, 4*s + 5*t = -33 for s.
-2
Let m = 2553 - 2548. Solve -3*u - 17 = 5*l, m*l + 0*u - 3*u - 7 = 0 for l.
-1
Suppose -6*k = -11*k + 15. Let o be 1 + -2 + 0 - -5. Suppose 0 = 4*d - 2*d, -52 = -o*p + 5*d. Solve -x - 3*x - k*u - 3 = 0, 5*u + p = -4*x for x.
3
Let o(w) = -w**2 + 10*w - 7. Let q be 7 - -4*3/6. Let m be o(q). Let c = 6137 - 6122. Solve -3*p - m*p = -3*u + c, -3*p + 3*u = 15 for p.
0
Suppose 404 = 18*l - 1126. Suppose -3*m - 321 = 4*w, w + 34 + 48 = m. Let o = w + l. Solve o*x - 30 = 2*i, 2*i = -4*x - 5 + 15 for i.
-5
Let w(f) = -2*f**3 - 18*f**2 - 11*f - 35. Let k be w(-10). Suppose -276*q + k*q + 4 = 0. Let r = 11 + -4. Solve r = y - 2*l, -q*y = -9*y - 4*l - 7 for y.
1
Let t be 6*(-2)/4 - (-5 + -3). Solve 2*i + 27 = t*j, 12*i + 8 = 14*i for j.
7
Let o be (-14)/(-4) - (-13)/(-26). Suppose 4*p + 3*z + 44 - 13 = 0, 0 = -p - 2*z - 9. Let u = -2 - p. Solve -2*y - 4*m - 14 = 0, -u*y = -4*y - o*m + 2 for y.
-5
Suppose -2*x = -y - 125, 3*y + 50 = x - 0*x. Let i = x - 62. Solve -w = -5, 0*h + i*h = -5*w + 37 for h.
4
Suppose -69*i - 75*i + 29*i + 1150 = 0. Solve 8*p - i*p = 3*a - 4, -5*a + 2*p = 4 for a.
0
Suppose -9*f - 816 = -3*f. Let u = f - -136. Solve 4*a + u*p + 28 = 2*p, 3*p + 3 = -3*a for a.
-5
Suppose 3*d + 15 = 2*r, 2*d + 9 = -r + 2*r. Suppose -23 = -4*q + r*j, -3*q = 2*j - 1 + 5. Solve -q*p + 5*p - 22 = -4*k, 2*p - 8 = -k for k.
4
Suppose -4*d = -2*d + 2, d - 545 = -2*f. Let m = f - 271. Solve -4*l = g - 5, 3*l - 15 = -m*g + 5*g for l.
2
Let k = 13413 - 13410. Solve k*r + r - n + 13 = 0, -5*r - 15 = -n for r.
-2
Let a(i) be the second derivative of i**3 - 68*i**2 - 2*i - 102. Let b be a(23). Solve 2*y = -2*s - 18, -4*y + 2 = -6*y + b*s for y.
-5
Suppose 0*y + 2 = 4*y + 3*t, -24 = 4*t. Solve 4 = -5*f + y*r - 11, r + 15 = -5*f for f.
-3
Let t(m) = m**3 + 6*m**2 - 19*m - 14. Let g be t(-8). Let h be g/6 + (-1)/(-3). Let i = -7 - -10. Solve -3*l + 5*n + 14 = 0, -h*l + i*n + 16 = -2*n for l.
-2
Let s(z) = -z**3 - 4*z**2 + 2*z - 103. Let v be s(-7). Solve v - 26 = -5*w + 4*h, 5*w = -h - 24 for w.
-4
Let f be 513/63 + 1/(-7). Suppose -f = 2*m, 2*z = m - 5*m - 10. Solve 3*n + 0 + z = 4*i, n + 1 = 5*i for i.
0
Let b(p) = -38*p - 31. Let f be b(-1). Solve -3*r = -5*y + f, -4*y = 4*r + r + 24 for r.
-4
Let n(g) = -2*g**2 - 37*g + 23. Let w(u) = -8*u + 2. Let m be w(-1). Suppose 185 = -m*b - 5. Let z be n(b). Solve -6 = 4*y + 2*j, -2*y + 22 = -0*j - z*j for y.
1
Let o be 21/((-378)/306) - -19. Solve 0 = -h - o*m - 5, -87 = -3*m - 93 for h.
-1
Let w be ((16884/(-335))/21)/(12/(-10)). Suppo | {
"pile_set_name": "DM Mathematics"
} |
at is the units digit of z(q)?
3
What is the hundreds digit of 1329/9*(-18)/(-6)?
4
Suppose 0 = -2*b, 3*b = 2*j + 104 - 706. Suppose -2*u - 4*y = 264, -2*u + 34 - j = 3*y. What is the tens digit of (1 - -1) + u/(-6)?
2
Let t(v) = -28*v - 6. Let o be t(2). Let c = -22 - o. What is the units digit of c?
0
Suppose -309 = 21*a - 24*a. What is the tens digit of a?
0
What is the thousands digit of ((-4)/16)/(51093/25548 - 2)?
2
Let x = 26 + -21. Suppose 325 = x*a - 450. What is the hundreds digit of a?
1
Let q(k) = 13*k**2 - 29*k - 137. What is the hundreds digit of q(-7)?
7
Let g(b) = b**3 + 9*b - 5*b**2 - 3 + 3 - 4*b**2 - 8. Let p be g(8). Suppose -2*j + 95 = 4*m + j, -2*m - 3*j + 55 = p. What is the units digit of m?
0
Let t be 6724/14 - (-34)/(-119). Suppose -2*n + 6*n = t. What is the units digit of n?
0
Suppose -j = -7*j - 54. Let l(k) be the second derivative of -k**5/20 - 2*k**4/3 + 3*k**3/2 + 2*k**2 - k. What is the units digit of l(j)?
4
Let a be (-1)/3*((-255)/3 - 2). Let c(v) = -12*v - 8. Let i be c(-6). Let m = i - a. What is the units digit of m?
5
Let x(r) = 7456*r**3 - r**2 + r - 1. Let o be x(1). What is the units digit of o/39 + (-18)/117?
1
Suppose -4*i = -2*i - 4*o + 12, -4*i - 4*o + 36 = 0. Suppose -i*v = -5 - 11. Suppose v*s - 11 = 45. What is the units digit of s?
4
Let g(i) = -13*i + 18. Let s(m) = -4*m + 6. Let n(x) = -4*g(x) + 11*s(x). Let d be n(2). Let w(f) = 6*f + 5. What is the units digit of w(d)?
5
Suppose 0 = -2*n + 121 - 23. What is the tens digit of n?
4
Let d(o) = o**2 + 10*o + 5. Let u be d(-10). Suppose -u*v + 200 + 110 = 0. Let g = -15 + v. What is the tens digit of g?
4
Let c(x) = 10*x**2 - 249*x - 67. What is the hundreds digit of c(30)?
4
What is the units digit of 2071 + (0 - 2)*1?
9
Let i(d) = 6 + 23*d - 11 - 12. What is the units digit of i(7)?
4
Let t = 2048 - -692. What is the thousands digit of t?
2
Let q be 4 + -5*1/(-5). Suppose -4*u = u + q. What is the units digit of u*(705/3)/(-5)?
7
What is the hundreds digit of (-165)/(-33) + 1153 + -2?
1
Let v(x) = -x - 1. Let c be v(0). What is the hundreds digit of 2/c - (-107 + (-4)/(-4))?
1
Let k(u) = -u**2 - u + 1. Let y(v) = -4*v**2 - 13*v - 6. Let p(j) = -3*k(j) + y(j). What is the units digit of p(-8)?
7
Suppose -3*n - 21 = 3*q - 2*n, 5*n + 17 = -4*q. Let k be (-5)/((4/q)/1). Suppose -m = -0*m - k. What is the units digit of m?
0
Suppose -l = -152 + 43. Let v = -73 + l. What is the tens digit of v?
3
Suppose 5*i = 5*s + 1715, -5*s + 2*s + 706 = 2*i. What is the hundreds digit of i?
3
Let q = -31 + 44. Suppose q*u - 59 = 162. What is the units digit of u?
7
Suppose 0 = 5*q - 5*n - 1645, -4*n = 46*q - 48*q + 668. What is the hundreds digit of q?
3
Let c(w) = -118*w - 131. What is the hundreds digit of c(-7)?
6
Let a be (69/3)/(9/(-135)). What is the tens digit of (a/30)/((-1)/6)?
6
Suppose 0 = -15*h + 12*h + 6. Suppose -3*q - h*q + 275 = 0. What is the tens digit of q?
5
Let w be 6/(-12) - 6/(-4). Let k(y) = 38*y**3 - y + 1. Let f be k(w). Suppose 3*g - 2*q - f = 0, -q + 2*q = -4. What is the units digit of g?
0
Suppose 6 = b + 1. Suppose 4*t + 3 = b*t. Suppose -z + t*u + 2*u = 11, 0 = -4*z + 2*u + 28. What is the units digit of z?
9
Let b(l) be the second derivative of l**6/60 - l**5/40 + l**4/6 + 6*l. Let p(h) be the third derivative of b(h). What is the units digit of p(3)?
3
Let f(z) = -29*z - 27. Let p(n) = -9*n + 42. Let k be p(6). What is the units digit of f(k)?
1
Let x = -29 - -6. Let w = x + 297. What is the hundreds digit of w?
2
Let a(m) = m**3 - 15*m**2 + 2*m - 17. Let o = -26 + 41. What is the units digit of a(o)?
3
Let d = -86 - -72. What is the tens digit of 34/119 - (514/d + 0)?
3
Suppose 5*c - 55 = -4*s, s + 14 = 2*c - 21. What is the units digit of -3 - 40/c*87/(-4)?
5
Suppose -18*m + 15253 = -3647. What is the thousands digit of m?
1
Let t = 19 + -20. Let y(n) = 124*n**2 + 3*n + 1. What is the hundreds digit of y(t)?
1
Let c = -6 + 8. Suppose 0 = p - 11 - c. What is the tens digit of p?
1
Let a(o) be the first derivative of o**3/3 - 5*o**2 + o - 1. Let b(v) = -16*v + 394. Let i be b(24). What is the units digit of a(i)?
1
Let w = 102 + -98. Suppose w*j - l = 6*j - 16, -40 = -4*j - 4*l. What is the units digit of j?
6
Let i = -2101 + 3830. What is the units digit of i?
9
Suppose -z = 4*y + 22, -3*z = -2*z + y + 10. What is the units digit of (4/z)/((-10)/705)?
7
Suppose 3*u = 4*s + 755 - 2842, 2082 = 4*s - 2*u. What is the units digit of s?
8
Suppose -174 = -5*p + 66. Let b = -12 + p. What is the tens digit of b?
3
Suppose -5*s = -18 + 8. Suppose 455 = s*r + 5*r. What is the units digit of r?
5
Suppose -44 + 9 = -7*x. Suppose -a + x*a = 144. What is the units digit of a?
6
Let r(z) = z**2 - 2*z - 11. Let i be r(5). Suppose 2*v + 0*v - 298 = i*b, -2*v + 299 = -5*b. What is the tens digit of v?
4
What is the units digit of (-52)/(-4 - 49/(-14))?
4
What is the units digit of 2/3*6972/28?
6
Suppose 2*r + 1323 = 5*r - 3*l, 0 = r + l - 441. Suppose 8*y - r = y. What is the tens digit of y?
6
Let v(g) = -34*g - 56. What is the tens digit of v(-10)?
8
What is the tens digit of 1/8*-1 - 31085/(-40)?
7
Let q be 2/7 - 52/(-14). Suppose -12 = -2*h - h. Suppose -3*k + 2 = p, -q*p - 9 = -h*k + p. What is the units digit of k?
1
Let h(i) = 3*i - 3. Let m be h(4). What is the units digit of ((-56)/(-12))/(6/m)?
7
Suppose 3*v - 9 + 0 = 0. Suppose -v*k = -k - 78. Suppose -77 - k = -4*y. What is the units digit of y?
9
Let s(w) = -w**3 + 5*w**2 + 9*w - 12. Suppose 4*j = -3*v, 3*j - 3*v - 34 = -13. Suppose -7 - 11 = -5*b - j*d, -5*d = 20. What is the units digit of s(b)?
6
Let q = 647 - -432. What is the tens digit of q?
7
Let k(m) be the first derivative of -68*m**2 - 4. Let y be k(-1). What is the units digit of y/7 - (-18)/(-42)?
9
Let z(s) = -s**3 - 7*s**2 - 6*s + 3. What is the tens digit of z(-15)?
9
Let y = -83 - -92. Let h(n) = n**2 + 12*n - 7. What is the hundreds digit of h(y)?
1
Suppose 36*v + 6110 = 49*v. What is the units digit of v?
0
What is the thousands digit of 6537/2 - 117/26?
3
Let g(f) = f**3 + 13*f**2 + 15*f - 4. Let k be g(-13). Suppose -r = -2*r - 135. Let d = r - k. What is the units digit of d?
4
Let j be (-14)/(-35) - (-23)/5. Suppose -35 = -5*d + 5*b, -d + b - j = -3*d. Suppose 3*i = 2*i - 3, -5*i - 35 = -d*o. What is the units digit of o?
5
Suppose -y = 3*y + 5*u + 4, 6 = y + 3*u. What is the tens digit of ((-45)/y)/(6/40)?
5
Let u be (-1 + 33/(-9))*-12. What is the tens digit of (1 + -3 - u)/(-2)?
2
Let a(r) = -3*r - 2. Let x(c) = -5*c - 5. Let n(u) = -7*a(u) + 4*x(u). Let d be n(9). Let m = d + 3. What is the units digit of m?
6
Let m(o) = -o**3 - 11*o**2 + 12*o + 3. Let l be m(-12). Let r be (-5)/l*-6*2. Suppose -5*n = -r - 135. What is the tens digit of n?
3
Suppose -35 = -v - 5. What is the tens digit of v/(-5)*-22*1/3?
4
Let y be (-5)/((-75)/6) - 712/5. Let q = -50 - y. What is the units digit of q?
2
Let l(t) = -t**3 - 7*t**2 - 6*t + 6. Let r be l(-6). Let v = r + 7. What is the units digit of v?
3
Suppose 0 = 5*b + 5, -4*w = 5*b - 34 + 7. Let j(u) = -u**2 + 23*u + 13. What is the hundreds digit of j(w)?
1
Suppose 4*s - 3*s - 11 = -h, -h = -5*s + 49. Let j be (s - 2)/2 + -29. Let z = 50 + j. What is the units digit of z?
5
Suppose -89*x = -33*x - 125496. What is the thousands digit of x?
2
Let m(x) = -5*x**2 - 235*x + 12. What is the tens digit of m(-28)?
7
Let w(f) = f**3 + 10*f**2 + 9. Let s be w(-10). Let y = -7 + s. What is the units digit of (-84)/(-2 - (-1)/y)?
6
Suppose -33*p = -43*p + 2590. What is the tens digit of p?
5
Suppose -9*y + 10912 = -y. What is the tens digit of y?
6
Suppose -14923 - 21728 = -19*x. What is the units digit of x?
9
Let a(s) = -s**2 - 14*s + 3. Let l be a(-14). What is the units digit of 67 - (-3 + l)*(-3 - -2)?
7
Let v(y) = -y**3 + 8*y**2 + 2*y - 12. Let m be v(8). Let z be 2/(-3)*-1*36. Suppose z = m*n + 20. What is the units digit of n?
1
Let w(l) = 186*l + 19. What is the units digit of w(2)?
1
Let y(k) = 16*k**2 + k + 4. Let u be y(4). Suppose x - 7*x + u = 0. What is the units digit of x?
4
Suppose 16 = -2*l + 7*l + m, 1 = -l + 4*m. Suppose -3530*g = -3535*g + 25. Suppose 0 = -5*s + 2*s + 5*w + 220, 200 = l*s + g*w. What is the tens digit of s?
7
Suppose -5*c - 139 + 1660 = 2*h | {
"pile_set_name": "DM Mathematics"
} |
me factors of 2887?
2887
List the prime factors of 27957.
3, 9319
What are the prime factors of 39044?
2, 43, 227
List the prime factors of 1449.
3, 7, 23
List the prime factors of 12820.
2, 5, 641
List the prime factors of 44882.
2, 22441
What are the prime factors of 337?
337
List the prime factors of 29438.
2, 41, 359
List the prime factors of 3403.
41, 83
List the prime factors of 2052.
2, 3, 19
What are the prime factors of 7799?
11, 709
What are the prime factors of 1045?
5, 11, 19
List the prime factors of 1476.
2, 3, 41
List the prime factors of 100834.
2, 50417
What are the prime factors of 1441?
11, 131
List the prime factors of 19361.
19, 1019
List the prime factors of 832.
2, 13
List the prime factors of 133115.
5, 79, 337
List the prime factors of 127473.
3, 42491
List the prime factors of 17526.
2, 3, 23, 127
What are the prime factors of 1170?
2, 3, 5, 13
List the prime factors of 1542.
2, 3, 257
List the prime factors of 41183.
41183
List the prime factors of 23556.
2, 3, 13, 151
What are the prime factors of 14877?
3, 19, 29
List the prime factors of 2626.
2, 13, 101
What are the prime factors of 495?
3, 5, 11
What are the prime factors of 2360?
2, 5, 59
What are the prime factors of 1920?
2, 3, 5
What are the prime factors of 5298?
2, 3, 883
What are the prime factors of 6262?
2, 31, 101
List the prime factors of 873.
3, 97
List the prime factors of 20545.
5, 7, 587
What are the prime factors of 107254?
2, 7, 47, 163
What are the prime factors of 17494?
2, 8747
List the prime factors of 1221.
3, 11, 37
List the prime factors of 16765.
5, 7, 479
What are the prime factors of 41198?
2, 20599
List the prime factors of 10.
2, 5
List the prime factors of 46956.
2, 3, 7, 13, 43
List the prime factors of 41225.
5, 17, 97
List the prime factors of 1307.
1307
What are the prime factors of 15879?
3, 67, 79
List the prime factors of 2717.
11, 13, 19
What are the prime factors of 984?
2, 3, 41
List the prime factors of 33538.
2, 41, 409
What are the prime factors of 4217?
4217
List the prime factors of 7940.
2, 5, 397
What are the prime factors of 2109?
3, 19, 37
List the prime factors of 955.
5, 191
What are the prime factors of 1137?
3, 379
List the prime factors of 8790.
2, 3, 5, 293
List the prime factors of 33054.
2, 3, 7, 787
List the prime factors of 965.
5, 193
What are the prime factors of 12897?
3, 1433
What are the prime factors of 4463?
4463
List the prime factors of 16492.
2, 7, 19, 31
List the prime factors of 1741.
1741
What are the prime factors of 35216?
2, 31, 71
What are the prime factors of 74986?
2, 37493
What are the prime factors of 9445?
5, 1889
List the prime factors of 13141.
17, 773
What are the prime factors of 52025?
5, 2081
List the prime factors of 1353.
3, 11, 41
What are the prime factors of 6523?
11, 593
List the prime factors of 49249.
17, 2897
List the prime factors of 21547.
29, 743
List the prime factors of 18088.
2, 7, 17, 19
List the prime factors of 142597.
7, 13, 1567
What are the prime factors of 770?
2, 5, 7, 11
List the prime factors of 20999.
11, 23, 83
What are the prime factors of 22957?
11, 2087
List the prime factors of 10841.
37, 293
List the prime factors of 6881.
7, 983
What are the prime factors of 1037?
17, 61
What are the prime factors of 61120?
2, 5, 191
What are the prime factors of 359?
359
List the prime factors of 1287.
3, 11, 13
What are the prime factors of 31357?
31357
What are the prime factors of 20124?
2, 3, 13, 43
List the prime factors of 53098.
2, 139, 191
List the prime factors of 7808.
2, 61
What are the prime factors of 469?
7, 67
List the prime factors of 6038.
2, 3019
List the prime factors of 87224.
2, 10903
What are the prime factors of 1180?
2, 5, 59
List the prime factors of 57567.
3, 31, 619
What are the prime factors of 34679?
34679
List the prime factors of 7397.
13, 569
What are the prime factors of 3031?
7, 433
What are the prime factors of 7999?
19, 421
What are the prime factors of 280?
2, 5, 7
List the prime factors of 6668.
2, 1667
What are the prime factors of 14713?
14713
List the prime factors of 10050.
2, 3, 5, 67
What are the prime factors of 19497?
3, 67, 97
What are the prime factors of 82?
2, 41
What are the prime factors of 715?
5, 11, 13
List the prime factors of 1268.
2, 317
What are the prime factors of 33849?
3, 3761
What are the prime factors of 1514?
2, 757
List the prime factors of 5097.
3, 1699
List the prime factors of 17790.
2, 3, 5, 593
What are the prime factors of 6401?
37, 173
What are the prime factors of 999?
3, 37
What are the prime factors of 9093?
3, 7, 433
List the prime factors of 3439.
19, 181
What are the prime factors of 2796?
2, 3, 233
What are the prime factors of 647?
647
List the prime factors of 448.
2, 7
What are the prime factors of 272?
2, 17
List the prime factors of 6386.
2, 31, 103
List the prime factors of 6591.
3, 13
List the prime factors of 128341.
128341
List the prime factors of 400.
2, 5
List the prime factors of 871.
13, 67
What are the prime factors of 8320?
2, 5, 13
List the prime factors of 2366.
2, 7, 13
List the prime factors of 1505.
5, 7, 43
List the prime factors of 5572.
2, 7, 199
What are the prime factors of 1025?
5, 41
What are the prime factors of 48463?
48463
What are the prime factors of 4252?
2, 1063
What are the prime factors of 12520?
2, 5, 313
List the prime factors of 7982.
2, 13, 307
List the prime factors of 94480.
2, 5, 1181
What are the prime factors of 271?
271
What are the prime factors of 7181?
43, 167
What are the prime factors of 1459?
1459
List the prime factors of 3025.
5, 11
List the prime factors of 34730.
2, 5, 23, 151
What are the prime factors of 73962?
2, 3, 7, 587
List the prime factors of 10323.
3, 31, 37
List the prime factors of 395.
5, 79
List the prime factors of 3114.
2, 3, 173
What are the prime factors of 2469?
3, 823
What are the prime factors of 1028?
2, 257
List the prime factors of 4740.
2, 3, 5, 79
List the prime factors of 1108.
2, 277
List the prime factors of 805.
5, 7, 23
List the prime factors of 6456.
2, 3, 269
What are the prime factors of 12239?
12239
What are the prime factors of 2791?
2791
What are the prime factors of 256?
2
What are the prime factors of 7380?
2, 3, 5, 41
What are the prime factors of 71877?
3, 13, 19, 97
List the prime factors of 1956.
2, 3, 163
What are the prime factors of 2023?
7, 17
What are the prime factors of 5257?
7, 751
What are the prime factors of 15862?
2, 7, 11, 103
What are the prime factors of 1409?
1409
What are the prime factors of 3759?
3, 7, 179
List the prime factors of 39140.
2, 5, 19, 103
List the prime factors of 16583.
7, 23, 103
What are the prime factors of 123853?
123853
What are the prime factors of 122962?
2, 7, 8783
List the prime factors of 29202.
2, 3, 31, 157
List the prime factors of 410.
2, 5, 41
What are the prime factors of 293?
293
What are the prime factors of 5279?
5279
List the prime factors of 1149.
3, 383
List the prime factors of 604.
2, 151
What are the prime factors of 13411?
13411
What are the prime factors of 13367?
13367
List the prime factors of 6706.
2, 7, 479
List the prime factors of 763.
7, 109
List the prime factors of 9976.
2, 29, 43
What are the prime factors of 1964?
2, 491
What are the prime factors of 1400?
2, 5, 7
What are the prime factors of 940?
2, 5, 47
List the prime factors of 27861.
3, 37, 251
What are the prime factors of 5084?
2, 31, 41
What are the prime factors of 871?
13, 67
What are the prime factors of 1768?
2, 13, 17
What are the prime factors of 4827?
3, 1609
What are the prime factors of 1528?
2, 191
List the prime factors of 4451.
4451
What are the prime factors of 507?
3, 13
List the prime factors of 8632.
2, 13, 83
What are the prime factors of 893?
19, 47
List the prime factors of 4.
2
List the prime factors of 5333.
5333
What are the prime factors of 83203?
83203
What are the prime factors of 35432?
2, 43, 103
List the prime factors of 18665.
5, 3733
What are the prime factors of 5234?
2, 2617
What are the prime factors of 103506?
2, 3, 13, 1327
List the prime factors of 3326.
2, 1663
List the prime factors of 4469.
41, 109
What are the prime factors of 8574?
2, 3, 1429
What are the prime factors of 1797?
3, 599
List the prime factors | {
"pile_set_name": "DM Mathematics"
} |
uence yzw when three letters picked without replacement from {y: 2, z: 1, w: 3, h: 6, l: 7}.
1/969
What is prob of sequence dlu when three letters picked without replacement from {l: 1, u: 2, d: 1}?
1/12
What is prob of sequence qq when two letters picked without replacement from qllqlwfllllleqfq?
1/20
Two letters picked without replacement from riiallvlviiidiiid. What is prob of sequence lv?
3/136
Two letters picked without replacement from {r: 1, g: 7, o: 3, u: 3}. Give prob of sequence ug.
3/26
Four letters picked without replacement from mamammqaqmmam. What is prob of sequence mama?
21/715
What is prob of sequence xxxx when four letters picked without replacement from {x: 6}?
1
Two letters picked without replacement from eemmeeeememememmmeme. Give prob of sequence me.
99/380
Two letters picked without replacement from ekk. What is prob of sequence ek?
1/3
Two letters picked without replacement from {u: 1, d: 2, w: 1, i: 2, a: 2}. Give prob of sequence wi.
1/28
Two letters picked without replacement from gpwxgay. What is prob of sequence yw?
1/42
What is prob of sequence xmem when four letters picked without replacement from jeeemqmeeeqexmjjd?
1/1360
Three letters picked without replacement from ddgdgdg. Give prob of sequence dgd.
6/35
Calculate prob of sequence wm when two letters picked without replacement from wwwmwfwffwwfwwwwfw.
2/51
What is prob of sequence odn when three letters picked without replacement from nnfofeedbnenddd?
8/1365
Calculate prob of sequence jhb when three letters picked without replacement from bhhj.
1/12
Calculate prob of sequence jxjj when four letters picked without replacement from xjjjxx.
1/20
Three letters picked without replacement from {v: 2, j: 5, u: 3}. Give prob of sequence juj.
1/12
Three letters picked without replacement from dfadddend. Give prob of sequence adf.
5/504
What is prob of sequence td when two letters picked without replacement from {d: 1, g: 1, t: 5, j: 1, k: 3, p: 1}?
5/132
Two letters picked without replacement from jwwj. What is prob of sequence jw?
1/3
Calculate prob of sequence dk when two letters picked without replacement from ddmmkmp.
1/21
Four letters picked without replacement from zvvvvzvzzvzz. Give prob of sequence zzvz.
2/33
Two letters picked without replacement from {w: 3, x: 6, r: 8, l: 2}. What is prob of sequence xx?
5/57
Four letters picked without replacement from {y: 2, g: 1, x: 1, j: 1, q: 1, p: 1}. What is prob of sequence jgyg?
0
Calculate prob of sequence qx when two letters picked without replacement from {b: 1, a: 2, k: 1, q: 1, x: 1, e: 2}.
1/56
Calculate prob of sequence gl when two letters picked without replacement from lgj.
1/6
Calculate prob of sequence immm when four letters picked without replacement from jmmmmammijmmmmaiimj.
165/5168
What is prob of sequence yno when three letters picked without replacement from ntnkowoootyot?
5/858
Two letters picked without replacement from ettee. Give prob of sequence te.
3/10
Three letters picked without replacement from {p: 13, v: 6}. Give prob of sequence pvp.
52/323
Calculate prob of sequence kbk when three letters picked without replacement from kwbwwbkkwkkwbjbwww.
5/306
Two letters picked without replacement from {p: 8, u: 3}. Give prob of sequence pp.
28/55
Four letters picked without replacement from eddes. Give prob of sequence edes.
1/30
Four letters picked without replacement from qqqeqqqqqqjqqq. What is prob of sequence qqje?
1/182
What is prob of sequence af when two letters picked without replacement from aafafafaaaaaafaf?
11/48
Two letters picked without replacement from {s: 1, n: 1, w: 1}. What is prob of sequence nw?
1/6
Two letters picked without replacement from jjrrrrjr. Give prob of sequence jj.
3/28
Three letters picked without replacement from {u: 1, j: 8, g: 10}. What is prob of sequence ggj?
40/323
Calculate prob of sequence cr when two letters picked without replacement from {r: 1, c: 1, x: 2, y: 1, b: 1, h: 1}.
1/42
Four letters picked without replacement from {n: 3, c: 9}. What is prob of sequence nncn?
1/220
Four letters picked without replacement from {o: 3, a: 3, h: 4, y: 3}. What is prob of sequence aaha?
1/715
Two letters picked without replacement from ssrzxlxzzs. Give prob of sequence xs.
1/15
What is prob of sequence xx when two letters picked without replacement from {t: 2, a: 2, x: 1, e: 11}?
0
Calculate prob of sequence lmqq when four letters picked without replacement from lqqllllllqlmqlqqlq.
7/1224
Four letters picked without replacement from {y: 3, n: 2, h: 2, x: 3, e: 4, p: 1}. What is prob of sequence nnxy?
1/1820
Four letters picked without replacement from {u: 4, t: 2, x: 7, d: 3, y: 3}. Give prob of sequence uyut.
1/1292
Three letters picked without replacement from ickyeek. Give prob of sequence kii.
0
What is prob of sequence tnkk when four letters picked without replacement from {n: 4, t: 1, k: 2}?
1/105
Two letters picked without replacement from {e: 3, n: 2}. What is prob of sequence ne?
3/10
Three letters picked without replacement from rceeuqzrqqqqceezzqr. What is prob of sequence zee?
2/323
Three letters picked without replacement from {w: 4, m: 13, p: 3}. What is prob of sequence ppm?
13/1140
What is prob of sequence tt when two letters picked without replacement from {t: 2, v: 2}?
1/6
Two letters picked without replacement from {f: 2, b: 1, z: 5, v: 6, d: 1}. Give prob of sequence fz.
1/21
Three letters picked without replacement from {v: 1, o: 3, j: 5}. Give prob of sequence voj.
5/168
Calculate prob of sequence bbjb when four letters picked without replacement from bxjjxjjbjxbxbbjbjjjj.
10/969
What is prob of sequence thhh when four letters picked without replacement from {t: 6, x: 9, h: 4}?
1/646
What is prob of sequence hta when three letters picked without replacement from ttrrhaaah?
1/42
Two letters picked without replacement from {g: 2, a: 1, y: 1}. Give prob of sequence ya.
1/12
What is prob of sequence nn when two letters picked without replacement from {n: 4, u: 15}?
2/57
What is prob of sequence iiii when four letters picked without replacement from iiiiiiiiikiiikiiiii?
35/57
Two letters picked without replacement from {y: 9, b: 2, n: 8, i: 1}. Give prob of sequence by.
9/190
Two letters picked without replacement from {f: 3, i: 6, h: 8}. What is prob of sequence if?
9/136
What is prob of sequence qqqq when four letters picked without replacement from qqquqqqqqqqqqqqqqq?
7/9
Three letters picked without replacement from ggggggggg. Give prob of sequence ggg.
1
Three letters picked without replacement from {v: 5, c: 1, o: 6, f: 1, z: 1}. Give prob of sequence zco.
1/364
Four letters picked without replacement from oopopp. Give prob of sequence popo.
1/10
What is prob of sequence ddah when four letters picked without replacement from {d: 5, a: 2, h: 3, s: 5, t: 5}?
1/969
Calculate prob of sequence dl when two letters picked without replacement from {d: 2, t: 1, a: 6, x: 2, e: 2, l: 4}.
1/34
Calculate prob of sequence ee when two letters picked without replacement from cuccuuefecueeecce.
15/136
What is prob of sequence ve when two letters picked without replacement from {v: 15, e: 4}?
10/57
What is prob of sequence oii when three letters picked without replacement from zyizyzziiioyz?
1/143
Four letters picked without replacement from uyueyoouguoygqo. What is prob of sequence qygg?
1/5460
Calculate prob of sequence fr when two letters picked without replacement from eooabfer.
1/56
Three letters picked without replacement from qibppbpqiqrrppippr. Give prob of sequence brq.
1/272
Three letters picked without replacement from {y: 5, w: 1, z: 2, j: 1, o: 1, b: 5}. Give prob of sequence jwb.
1/546
Two letters picked without replacement from {s: 2, f: 2, b: 1, u: 1, a: 4}. Give prob of sequence ub.
1/90
Two letters picked without replacement from aaqqdae. Give prob of sequence eq.
1/21
Two letters picked without replacement from {i: 1, a: 2, k: 4, p: 3, z: 2}. Give prob of sequence ki.
1/33
Calculate prob of sequence vyvz when four letters picked without replacement from fwzozvwvyzzfz.
1/1716
Two letters picked without replacement from {b: 1, u: 9, w: 1}. Give prob of sequence uu.
36/55
Two letters picked without replacement from {v: 1, o: 2, n: 2, y: 1, u | {
"pile_set_name": "DM Mathematics"
} |
e remainder when 241206 is divided by 55?
31
Calculate the remainder when 71741 is divided by 2657.
2
What is the remainder when 111158 is divided by 164?
130
Calculate the remainder when 51615 is divided by 71.
69
Calculate the remainder when 3457 is divided by 434.
419
What is the remainder when 32678 is divided by 55?
8
Calculate the remainder when 14314 is divided by 129.
124
Calculate the remainder when 1000290 is divided by 23.
20
Calculate the remainder when 629430 is divided by 202.
200
What is the remainder when 5937 is divided by 1958?
63
Calculate the remainder when 5793 is divided by 1306.
569
Calculate the remainder when 16671 is divided by 2478.
1803
Calculate the remainder when 29083 is divided by 14539.
5
What is the remainder when 6934 is divided by 88?
70
What is the remainder when 117760 is divided by 999?
877
Calculate the remainder when 181669 is divided by 181658.
11
What is the remainder when 8260 is divided by 8254?
6
What is the remainder when 25953 is divided by 2992?
2017
Calculate the remainder when 10647 is divided by 39.
0
Calculate the remainder when 145706 is divided by 9713.
11
Calculate the remainder when 14530 is divided by 12.
10
What is the remainder when 58889 is divided by 201?
197
Calculate the remainder when 785 is divided by 312.
161
What is the remainder when 10858 is divided by 57?
28
Calculate the remainder when 29510 is divided by 29471.
39
Calculate the remainder when 176813 is divided by 272.
13
Calculate the remainder when 74193 is divided by 24727.
12
What is the remainder when 21595 is divided by 69?
67
Calculate the remainder when 21229 is divided by 317.
307
What is the remainder when 6629 is divided by 78?
77
What is the remainder when 6038 is divided by 215?
18
What is the remainder when 131940 is divided by 970?
20
Calculate the remainder when 1645 is divided by 1302.
343
What is the remainder when 72782 is divided by 26?
8
What is the remainder when 794842 is divided by 472?
466
Calculate the remainder when 15063 is divided by 3752.
55
Calculate the remainder when 4670 is divided by 40.
30
What is the remainder when 5338 is divided by 1326?
34
Calculate the remainder when 582927 is divided by 23.
15
Calculate the remainder when 6381 is divided by 336.
333
What is the remainder when 13713 is divided by 1610?
833
What is the remainder when 9911 is divided by 3302?
5
Calculate the remainder when 28541 is divided by 67.
66
What is the remainder when 19170 is divided by 799?
793
What is the remainder when 16679 is divided by 235?
229
Calculate the remainder when 93442 is divided by 46713.
16
Calculate the remainder when 22029 is divided by 10973.
83
What is the remainder when 1281 is divided by 1235?
46
Calculate the remainder when 4897 is divided by 78.
61
Calculate the remainder when 17983 is divided by 1057.
14
Calculate the remainder when 7877 is divided by 1968.
5
What is the remainder when 45368 is divided by 409?
378
What is the remainder when 8873 is divided by 4410?
53
Calculate the remainder when 14589 is divided by 324.
9
Calculate the remainder when 82917 is divided by 4.
1
Calculate the remainder when 580024 is divided by 25.
24
What is the remainder when 22197 is divided by 22190?
7
What is the remainder when 44232 is divided by 2?
0
Calculate the remainder when 1605289 is divided by 131.
15
What is the remainder when 101652 is divided by 1130?
1082
Calculate the remainder when 759 is divided by 70.
59
What is the remainder when 44152 is divided by 22075?
2
What is the remainder when 35776 is divided by 17877?
22
What is the remainder when 52990 is divided by 197?
194
What is the remainder when 9633 is divided by 141?
45
What is the remainder when 155785 is divided by 74?
15
What is the remainder when 10567 is divided by 31?
27
What is the remainder when 55388 is divided by 7910?
18
Calculate the remainder when 1300 is divided by 1242.
58
What is the remainder when 1247 is divided by 461?
325
What is the remainder when 5858 is divided by 2866?
126
What is the remainder when 1145968 is divided by 1070?
1068
What is the remainder when 6911 is divided by 276?
11
Calculate the remainder when 62199 is divided by 145.
139
What is the remainder when 10143 is divided by 273?
42
Calculate the remainder when 22486 is divided by 123.
100
What is the remainder when 8653 is divided by 605?
183
Calculate the remainder when 4408 is divided by 1795.
818
Calculate the remainder when 11600 is divided by 1932.
8
Calculate the remainder when 1128 is divided by 83.
49
Calculate the remainder when 13678 is divided by 1240.
38
What is the remainder when 231674 is divided by 183?
179
Calculate the remainder when 8260 is divided by 129.
4
Calculate the remainder when 25566 is divided by 188.
186
What is the remainder when 694 is divided by 88?
78
Calculate the remainder when 20589 is divided by 735.
9
Calculate the remainder when 36722 is divided by 18361.
0
What is the remainder when 6040045 is divided by 16?
13
Calculate the remainder when 898 is divided by 188.
146
What is the remainder when 210615 is divided by 62?
1
What is the remainder when 381480 is divided by 95369?
4
Calculate the remainder when 360 is divided by 33.
30
What is the remainder when 15984 is divided by 3176?
104
What is the remainder when 321320 is divided by 13?
12
Calculate the remainder when 421202 is divided by 1872.
2
Calculate the remainder when 15319 is divided by 5100.
19
What is the remainder when 1249808 is divided by 10?
8
Calculate the remainder when 60789 is divided by 31.
29
Calculate the remainder when 2771 is divided by 23.
11
Calculate the remainder when 3530 is divided by 52.
46
What is the remainder when 693 is divided by 59?
44
What is the remainder when 3085 is divided by 1502?
81
What is the remainder when 362039 is divided by 95?
89
What is the remainder when 83441 is divided by 152?
145
What is the remainder when 31829 is divided by 2444?
57
Calculate the remainder when 1237 is divided by 680.
557
Calculate the remainder when 109400 is divided by 39.
5
Calculate the remainder when 3290 is divided by 546.
14
Calculate the remainder when 3331 is divided by 667.
663
What is the remainder when 23577 is divided by 393?
390
Calculate the remainder when 14395 is divided by 567.
220
Calculate the remainder when 87942 is divided by 215.
7
What is the remainder when 80056 is divided by 98?
88
Calculate the remainder when 35494 is divided by 116.
114
Calculate the remainder when 114491 is divided by 1070.
1
Calculate the remainder when 1090 is divided by 103.
60
What is the remainder when 292670 is divided by 33?
26
Calculate the remainder when 367124 is divided by 55.
54
What is the remainder when 104690 is divided by 560?
530
What is the remainder when 5307 is divided by 47?
43
What is the remainder when 1540160 is divided by 49?
41
What is the remainder when 349299 is divided by 350?
349
What is the remainder when 144899 is divided by 5?
4
What is the remainder when 266302 is divided by 96?
94
Calculate the remainder when 10445 is divided by 4151.
2143
What is the remainder when 15626 is divided by 590?
286
Calculate the remainder when 6354 is divided by 1268.
14
Calculate the remainder when 319 is divided by 184.
135
What is the remainder when 417 is divided by 148?
121
What is the remainder when 63619 is divided by 482?
477
What is the remainder when 4784 is divided by 950?
34
Calculate the remainder when 4494 is divided by 342.
48
What is the remainder when 3482 is divided by 580?
2
What is the remainder when 8408 is divided by 1380?
128
Calculate the remainder when 1007 is divided by 315.
62
Calculate the remainder when 18679 is divided by 1037.
13
Calculate the remainder when 4542 is divided by 255.
207
Calculate the remainder when 49860 is divided by 514.
2
What is the remainder when 920 is divided by 98?
38
What is the remainder when 448199 is divided by 1192?
7
Calculate the remainder when 673372 is divided by 178.
176
What is the remainder when 1637 is divided by 153?
107
What is the remainder when 5424 is divided by 5386?
38
What is the remainder when 3743 is divided by 3579?
164
Calculate the remainder when 19190 is divided by 73.
64
Calculate the remainder when 96166 is divided by 23.
3
What is th | {
"pile_set_name": "DM Mathematics"
} |
b - 11 = -4*d for b.
-5
Solve -3*f = 5*q - 34, q = -q + 4*f - 2 for q.
5
Solve z + 5*v = 8*v + 8, 4*z + 4*v + 32 = 0 for z.
-4
Solve -c = -4*d - 3, -9*d - 5 = -6*d + 2*c for d.
-1
Solve 0 = 35*l - 39*l + 4*n + 56, 0 = -4*l - 3*n + 21 for l.
9
Solve 5*t + 145 = 4*p + 167, -2*t + 4 = -4*p for t.
6
Solve 4*b - k + 9 = 0, -3*b - 4*k + 17 = -0*b for b.
-1
Solve -j + v + 8 = 0, -21*j + 17*j + 2*v = -16 for j.
0
Solve -d = 2*u + 3, 2*d = -7*u + 9*u + 12 for u.
-3
Solve -4*q = -2*t - 16, -2*q + q + 2*t = -10 for q.
2
Solve -l - 3*b = -11, 19 = -4*l + 4*b - 17 for l.
-4
Solve 1 = -4*c - 3*n + 3, -c - n = -1 for c.
-1
Solve -4*w = 3*s - 3, -2*w = 2*s - 50 + 46 for s.
5
Solve 4*t + 2*l = -132 + 140, -5*t + 5 = 5*l for t.
3
Solve 2*r + 2*s + 2 = 0, r - 2*r + 2*s + 14 = 0 for r.
4
Solve 2*g + 4*h = 14, 0*g + 2 = -g + h for g.
1
Solve -4*a = 4*j - 4, 19*j - 23*j - 3*a = 0 for j.
-3
Solve -c + 26 = 2*d - 5*c, d = 5*c + 25 for d.
5
Solve 2*m = x - 1, 2*m - 168*x = -172*x - 26 for m.
-3
Solve 0 = -4*p + 15 - 3, -2*x - 13 = -5*p for x.
1
Solve -u - 4*z - z - 5 = 0, 0 = 4*u + 4*z - 12 for u.
5
Solve 3*k = -9, -2*u + 5 = 3*k + 20 for u.
-3
Solve 2*z - 2*f - 14 = -0, 3*z = 4*f + 26 for z.
2
Solve 2*g = -4, -5*q = -7*g + 6*g + 23 for q.
-5
Solve -4*u = 5*v + 5, 0*u - 3*v + 19 = -2*u for u.
-5
Solve 3*o - 5*i = -6, -62*i = 4*o - 66*i for o.
3
Solve -5*a + 10 = -5*w, 7 = -5*a - 4*w - 10 for a.
-1
Solve 14 = 2*w - 4*y, 0*w - w - 4*y = 11 for w.
1
Solve -2*v = -v + 3*p - 4, p - 6 = 2*v for v.
-2
Solve x = 5*f - 5, 4*x + 3*f + 214 = 194 for x.
-5
Solve 4*h + 5*s = -26, 3*h - 2*s - 224 = -209 for h.
1
Solve 97*q = 2*a + 98*q - 8, -2*a - 4*q + 2 = 0 for a.
5
Solve -3*b - 3*p = -6, 3*b - b = 2*p - 8 for b.
-1
Solve 5*j = -4*a + 3*j - 22, 16 = 3*a - 5*j for a.
-3
Solve 0 = l + 4*r + 5, 5*l + 5*r = -12 - 13 for l.
-5
Solve -c - 8 = 3*c - 5*z, 0 = 3*z - 12 for c.
3
Solve -5*q - 2*l = -18, 4*q - 2 - 15 = l for q.
4
Solve -4*y + 5 = c + 3, -5*c = -4*y - 10 for y.
0
Solve w = -c + 11 - 13, 3*w - 2*c = -11 for w.
-3
Solve -67*p - 5*r = -72*p - 10, 3*r + 24 = -7*p for p.
-3
Solve 0 = 3*b + 6*m - 7*m - 4, -4*m = -8 for b.
2
Solve 5*q + 34 = -2*i + 42, 2*i + 2 = 0 for q.
2
Solve -2*n + 5*q - 11 = 0, 5*q - 8*q = -3*n - 12 for n.
-3
Solve -f = 2*h - 3*f - 2, -5*h - 3*f + 29 = 0 for h.
4
Solve -3*j + 2*t = 19, -6*t + t = 2*j for j.
-5
Solve 4*x = 2*f - 16, 4*f - f = -4*x - 26 for x.
-5
Solve 24 = -x - 3*x + 4*f, 5*x - 3*f = -20 for x.
-1
Solve j + 11 = 4*r - 1, -r - j + 3 = 0 for r.
3
Solve 4*y = 0, -4*u = y + 86 - 66 for u.
-5
Solve 2 = 6*j - 4*j - 4*y, 5*j - 2*y = -11 for j.
-3
Solve 0 = 2*h - 5*h + 4*a - 18, -a - 1 = 2*h for h.
-2
Solve 289*f = 287*f - 3*d + 10, 2*d - 6 = -f for f.
2
Solve 2*g = 2*m + 6, 0 = 2*g + 3 - 13 for m.
2
Solve 0 = p - 3*p - 4*y + 12, 0 = 3*p + 3*y - 9 for p.
0
Solve g = -g + 4*d, 4*g + 3*d = -11 for g.
-2
Solve 14 = 2*p + r - 3*r, -2*p + 4*r + 24 = 0 for p.
2
Solve 0 = -q + 5*m - 22, -3*m + 8*m - 20 = 0 for q.
-2
Solve 2*c + 5*q = -18, -4*q = -c - q + 2 for c.
-4
Solve -4*v + 3 = 3*c, 0 = v + 4*v + 5*c for v.
3
Solve -5*n - 19 = -q, -5*n + 3*n - 14 = -2*q for q.
4
Solve -c + 4 = -5*z + 2*z, 5*z + c = -4 for z.
-1
Solve 13*h = k + 11*h, 3*k - 5*h = 0 for k.
0
Solve 4*z + 26 = 2*s, 5*z + 20 = -4*s + 7 for z.
-5
Solve t - 5*c - 2 = 0, 3*t + 2*c + 12 = -c for t.
-3
Solve -2*j = -5*p - 14, -14*j - 28 = p - 18*j for p.
0
Solve 0 = -z + 4*z, 0 = 2*o + 5*z - 8 for o.
4
Solve -5*v + 8*v - 5*x + 8 = 0, -7 = 3*v - 4*x for v.
-1
Solve 3*l - l - m - 9 = 0, 5*l = -4*m - 10 for l.
2
Solve -4*i + 5*t = -36 + 64, 5*i = -4*t + 6 for i.
-2
Solve -t + 9*x - 6*x = -9, t + 9 = -3*x for t.
0
Solve -23*v + 28*v - 45 = -5*m, -2*v = 3*m - 22 for v.
5
Solve -q - 4*x = -17, -48*x + 49*x = 2*q - 7 for q.
5
Solve 0 = 4*b + 4*l + 40, -14 = 3*b + l + 6 for b.
-5
Solve h - 2*s = -5 + 9, 0 = 4*h + 4*s + 32 for h.
-4
Solve 5*p - 20 = 2*h, -4*h - 5 = -3*h for p.
2
Solve -2*n = -f + 2*f + 9, -5*n + 10 = -4*f for f.
-5
Solve -4*f + 16 = 0, 0 = u + 2*u - 5*f + 29 for u.
-3
Solve 5*c - 2*v = -58 + 23, v = -4*c - 15 for c.
-5
Solve 2*o = 5*o - 2*x + 16, -2*o = 3*x + 2 for o.
-4
Solve f - 8 = -0*f + 2*b, 0 = 3*f - 2*b - 16 for f.
4
Solve -4*y - 4*a - 16 = 0, -11*a + 7*a = -3*y + 16 for y.
0
Solve 3*k + 3*r = -6, 2*k - 4*r = -0*k - 22 for k.
-5
Solve 2*h = 2*s + 14 - 8, 2*s = h - 4 for s.
-1
Solve -q + 4*l + 22 = 0, 4*q - 8*l + 10*l + 2 = 0 for q.
2
Solve -4*n - 18*h = -19*h - 22, -h = -3*n + 17 for n.
5
Solve -5*x - 7 = -6*r + 3*r, -4 = -2*r + 4*x for r.
4
Solve 5*i = -5*a - 1 - 9, i - 3 = 0 for a.
-5
Solve -2*s - 4*m = -12 + 16, -6*m = -2*s + 26 for s.
4
Solve -5*v - 5*t = -3*v + 10, 0 = -v + 4*t - 5 for v.
-5
Solve -32*a + 5 = -31*a + j, -6 = -a - 2*j for a.
4
Solve 0 = -4*m + d + 16, -28*m - 5*d - 12 = -31*m for m.
4
Solve z = x + 14 - 18, -5*x + 11 = -2*z for x.
1
Solve 2*o = 4*u + o - 11, -3*u + 4*o = -5 for u.
3
Solve 5*h + 18*c - 16 = 20*c, -h + 4*c = -14 for h.
2
Solve -3*i - 15 = 0, 22*s = 19*s + 5*i + 25 for s.
0
Solve 18 = -4*i + 4*s + 6, 0 = 2*i + 4*s for i.
-2
Solve -2*o = -5*o - g - 1, 0 = -5*o - 2*g - 1 for o.
-1
Solve -5*f + 4*r - 7 - 1 = 0, -2*f + 5*r = -7 for f.
-4
Solve -5*u - 4*d = 44, 2*u - 43 = -4*d - 75 for u.
-4
Solve 5*h - 21 = 9*h - z, -z + 9 = -h for h.
-4
Solve -5*o - 5*f + 30 = 0, 4*o = 2*o - f + 7 for o.
1
Solve a + 15 = -3*c, 9*c = 4*c + 4*a - 25 for c.
-5
Solve -4 = -x + 3*x, 5*x = g - 13 for g.
3
Solve -4*w - 25*u - 16 = -23*u, 2*u + 12 = -3*w for w.
-4
Solve 13*b - 3*g = 10*b, 2*b + 2*g = -4 for b.
-1
Solve -3*i = v - 1, 0 = -4*v + i + 2*i + 19 for v.
4
Solve r - 5*r = q - 9, -27 = 4*q - 5*r for q.
-3
Solve 25 + 20 = -5*o + 4*z, 0 = 2*o - 3*z + 25 for o.
-5
Solve 8 = -4*c + l, 5*c - c - 3*l + 16 = 0 for c.
-1
Solve -4*t - 20 = z, -19 + 3 = 3*t + z for t.
-4
Solve 5*x = 41*j - 39*j - 28, 20 = 2*j - 3*x for j.
4
Solve 3*h - 14 = 5*k, 0 = -5*k + 2*k + 2*h - 8 for k.
-4
Solve -3*g - 4*s - 16 = 0, -3*g - 2 = 2*s + 6 for g.
0
Solve -5*h = -s + 2, -h + 3*h = -2 for s.
-3
Solve 2*b + 4*v - 28 = -2*b, 3*b = 4*v - 7 for b.
3
Solve 0 = 3*y - 3*v + 21, -39*y - 3*v = -38*y - 13 for y.
-2
Solve 4*s = -2*k + 24, 3*s + 4 = 5*k + 9 for s.
5
Solve z = -i + 2, -3*z - 24 = -4*i - 2 for i.
4
Solve 0*c + 12 = 4*c - 4*o, 2*o - 14 = -2*c for c.
5
Solve -4*p = -4*y, -p + 10 = 4*y - 0 for p.
2
Solve 5*w - 3*s = 40, 4*w + 20 = 6*w - 2*s for w.
5
Solve 5*i + 15 = 0, 4*q + 4*i + 7 = -q for q.
1
Solve -p = 5*k - 5, -3*k + 5*p = 2*p - 21 for k.
2
Solve -3*y + 2 = -v, -9*y + 5*y = v - 5 for v.
1
Solve 2*t = -5*j + 26, j - 22 = -2*t - 3*j for t.
3
Solve 0 = 4*u - 24, 3*m - 2*u + 569 = 548 for m.
-3
Solve -16 = -2*c - 5*y, 0 = -2*c + 7*y - 11*y + 12 for c.
-2
Solve 14*q - 16*q = -n - 3, -21 = -5*q - 2*n for q.
3
Solve -s + 4*d = 17, -4*s = 293*d - 291*d - 22 for s.
3
Solve 4*t + 35 = 2*a + 15, -4*t - a = 8 for t.
-3
Solve 38*h = 42*h - 4*o - 4, -4*h + 12 = 4*o for h.
2
Solve 0 = -2*u - 44*k + 45*k + 2, 3 = 3*u - k for u.
1
Solve -3*x - 5 = -4*f - 9, -x = f + 8 for x.
-4
Solve 12*f - 10*f - 11 = 5*a, -5*a - 20 = -5*f for f.
3
Solve -14 + 2 = -3*b, 3*b - 8 = -2*a for a.
-2
Solve z = f + 17 - 11, z = 5*f + 22 for f.
-4
Solve 3*x = 3*g - 21, -5*x = -g - 3*g + 30 for x.
-2
Solve 2*o + 5*z + 6 - 37 = 0, -o + 2*z - 7 = 0 for o.
3
Solve 6 - 8 = 3*n + 2*m, -4*n - 2 = 3*m for n.
-2
Solve 5*i - 1 = g, -g + 41 - 34 = 3*i for i.
1
Solve -5*z + 15 = 5*v, -16*v = z - 21*v + 15 for z.
0
Solve -3*h + 2*z + 6 = h, 0 = -5*h + z + 15 for h.
4
Solve 32 = -4*t + 3*f, 8*f = 11*f - 12 for t.
-5
Solve 20*f - 21*f = 5*w + 7, 0 = 4*f - 4*w + 4 for f.
-2
Solve -7*k = -4*k + 2*p - 14, -k = p - 5 for k.
4
Solve -76*i + 4*a + 12 = -80*i, -14 = 2*i - 2*a for i.
-5
Solve 12*o = 10*o - 5*q - 1, o + q - 1 = 0 for o.
2
Solve -2*i + 0*w = 4*w + 20, -4*i + 5*w + 25 = 0 for i.
0
Solve 0 = -5*b - h - 21, -3*h + 23 = 4*b + 42 for b.
-4
Solve -2*f + 9 = -189*y + 184*y, 3*f + 18 = -3*y for f.
-3
Solve -9*w + 9 = 5*y - 5*w, 0 = -3*y + 2*w + 1 for y.
1
Solve -5*m = -3*c + 8, -c = -2*m - 3*c - 16 for m.
-4
Solve -4*z + 23 = 11, 4*c = -3*z + 13 for c.
1
Solve 2*n = 4*g + 20, 9*g = -5*n + 7*g + 2 for n.
2
Solve -4*i - 11 = -5*h + 1, 0 = -h + 4 for i.
2
Solve i + 3 = -l, 4*l - 149*i + 2 = -151*i for l.
2
Solve -2*k = -v, -2*v = 3*v + 2*k for | {
"pile_set_name": "DM Mathematics"
} |
uppose v*n + 2*n = 16. Suppose -n*k + 6 = -2*k. Calculate the greatest common divisor of 3 and k.
3
Let f be 6 - (-6)/(-24)*0. Calculate the highest common divisor of f and 14.
2
Suppose 5*v - 4*v - 186 = 0. Suppose -3*h - 3*i + v = 0, 2*i - i - 188 = -3*h. What is the greatest common divisor of 9 and h?
9
Let t(y) = 2*y + 8. Let m be t(-7). Let u be 6/(-33) + (-567)/(-33). Let x = m + u. Calculate the highest common divisor of x and 99.
11
Let j be (-2)/(-3)*(-336)/(-32). What is the greatest common divisor of 28 and j?
7
Let w = -64 + 96. Suppose 0*p = -p + 8. Calculate the highest common factor of w and p.
8
Suppose 3*z - 2*q + q + 4 = 0, 0 = 4*z + q + 3. Let f be (-18)/4 - z/(-2). Let l = f + 12. Calculate the highest common factor of 35 and l.
7
Let g be (4 + 1)*(8 - 6). Let l = g + -8. Let b be (6/(-2))/(-3) - -3. Calculate the highest common divisor of l and b.
2
Let m(f) = -2*f**2 + 9*f - 1. Let i be m(4). What is the highest common factor of i and 15?
3
Let o(q) = -q**3 - 10*q**2 - 20*q - 7. Let p be o(-9). Calculate the greatest common divisor of p and 23.
23
Suppose -2*q + 5*q = -3*i + 201, -5*i - 120 = -2*q. What is the greatest common divisor of 5 and q?
5
Suppose 0*l = -5*l + 180. Let z = l - 24. Let t be (-4)/10 + 32/5. Calculate the greatest common divisor of z and t.
6
Suppose -5*t = -2*t - 72. Calculate the highest common divisor of t and 6.
6
Suppose -v + g = -2, -21 = -3*v - g - g. Suppose v*b - 4*j = 90, 4*b - 3*j - 75 = -4. Suppose 92 = 2*f - 48. Calculate the greatest common factor of f and b.
14
Let o be 5/(-15) - (-2)/(-3). Let z be 1*(3 - 5)/o. Suppose -z*j + 16 = 2*j. What is the highest common factor of 28 and j?
4
Let w = 34 - 33. What is the greatest common divisor of 8 and w?
1
Suppose 0 = 2*w - 0*w + 478. Let k = -143 - w. Let g be ((-6)/8)/((-3)/k). Calculate the highest common factor of 264 and g.
24
Suppose 2*g = 18 + 30. Let i = g - 13. What is the greatest common factor of i and 121?
11
Suppose -4*x + 3*v + 67 = 0, -76 = -4*x - x - 4*v. What is the greatest common factor of 144 and x?
16
Let w = 14 + 14. What is the highest common factor of 84 and w?
28
Let i be 4 - 2/2*-2. Let b = 8 - i. Suppose 0*c + b*c + 5*r - 105 = 0, -3*r + 217 = 4*c. Calculate the greatest common divisor of c and 22.
11
Let i(t) = -t**2 - 16*t + 54. Let a be i(-16). What is the highest common factor of 90 and a?
18
Let n(f) = 3*f - 1. Let l be n(2). Suppose -l*q - 32 = -2*s, -4*q = 4*s + q - 34. Let m be 4/14 - (-1074)/14. Calculate the highest common factor of m and s.
11
Suppose 0*x + 22 = 4*x - c, 10 = 2*x - c. Let n be (1 + 15/(-6))*-34. Suppose n = 4*j + b, 3*j + 4*b - 67 = -19. What is the highest common divisor of x and j?
6
Let g be 3 + 95 + (-5)/(25/10). What is the highest common divisor of 6 and g?
6
Suppose -28*j + 25*j + 90 = 0. Calculate the greatest common factor of j and 45.
15
Let o = 2 + -5. Let v be ((-9)/(-6))/(o/(-42)). What is the highest common factor of 3 and v?
3
Suppose -17*s + 300 = -12*s. What is the highest common factor of 20 and s?
20
Let t = 18 + -19. Let j(z) = -36*z**3 - z**2 + 1. Let c be j(t). Calculate the highest common divisor of 9 and c.
9
Suppose 4 = j - 3*j. Let o = 6 - j. Suppose -4*q + 4*y + 4 = 0, 0 = 2*q - q - 4*y + 8. Calculate the greatest common divisor of o and q.
4
Suppose 2*h + 23 = -1. Let g be (2/(-3))/(h/(-54)). Let w(c) = 3*c**2 + 2*c - 2. Let n be w(g). Calculate the highest common divisor of n and 171.
19
Let z(i) = 4*i + 72. Let m be z(-5). What is the highest common divisor of m and 104?
52
Suppose 0 = -u + 22 - 7. Let s be (-2)/(-3) - (-185)/u. Calculate the greatest common factor of 13 and s.
13
Suppose -c = 2*f - 28, 4*c = -f + 6*f - 57. What is the highest common divisor of 13 and f?
13
Suppose 5*z + 25 = -2*x + 146, 0 = -2*x - 4. Let r be ((-50)/8)/(56/32 - 2). What is the highest common factor of r and z?
25
Let t be (-8)/(-36) - 1/(27/(-1344)). What is the greatest common divisor of 2 and t?
2
Let m = 139 + -117. What is the highest common factor of 2 and m?
2
Let k = 9 + -8. Let l be 0*-1*k/(-2). Suppose -5*s - q + 36 = l, 3*q - 15 = -4*s + 5. Calculate the highest common divisor of 4 and s.
4
Let r(w) = -10*w + 1. Let c be r(-1). Suppose -3*m = -2*m + c. Let u be m/(-33) + 119/3. What is the greatest common factor of 60 and u?
20
Let i(w) = -w**2 + 27. Let q be i(0). Suppose q + 13 = 4*s. What is the greatest common factor of 10 and s?
10
Suppose a + 40 = 5*a. Calculate the greatest common divisor of a and 4.
2
Let t(u) = -5*u - 28. Let r be t(-10). Calculate the highest common divisor of 22 and r.
22
Suppose 2*y = c + 7, -4*y + 16 + 4 = 0. Suppose -n + 2*t = t - 33, c*t + 35 = n. What is the greatest common factor of 48 and n?
16
Let d = 8 - 6. Suppose 3*i = -d*i + 140. What is the highest common divisor of 224 and i?
28
Let n(h) = -16*h - 5. Let z be n(-2). Calculate the highest common factor of z and 108.
27
Let x(j) = 3*j + 1 - j**3 + 6*j + j**2 - 5*j. Let z be x(-3). Let v = 11 - 6. Calculate the greatest common factor of v and z.
5
Let g be 15 - 14 - 3*1. Let x be (1/g)/((-8)/448). What is the greatest common divisor of x and 56?
28
Suppose -f = -4*u + 216, 2*u - 3*f - 87 - 11 = 0. Let a = -17 - -28. Calculate the greatest common factor of a and u.
11
Let x be -1*3/(-6)*0. Suppose -b + 6 + 1 = x. What is the highest common factor of 14 and b?
7
Let u = -10 + 14. Let n = 14 - u. What is the highest common divisor of n and 10?
10
Let n(s) = 26*s**2 - 2*s + 2. Let b be n(-3). What is the highest common factor of 22 and b?
22
Let y be (-1)/((-28)/(-10) - 3). Suppose -4*p + 9*p + f = 23, -y*f = -3*p - 3. Suppose x = 9 + 15. Calculate the highest common factor of x and p.
4
Suppose 5*f = 4*v + 50, 7 = -f + v + 16. What is the greatest common divisor of f and 21?
7
Let t(i) = -i**2 - 10*i - 10. Let b be t(-8). Let j = b + 7. Suppose 0 = l - a - 21, 4*a + a = l - 1. What is the highest common divisor of l and j?
13
Suppose -2*m - 12 = 2*m. Let b = m - -8. Suppose 0 = -b*p + p + 12. Calculate the greatest common factor of p and 21.
3
Let n = 6 - 9. Let t(v) = -v**3 - 2*v**2 - v - 4. Let k be t(n). Suppose 86 = -4*a + 374. What is the highest common divisor of a and k?
8
Let p be (-2 + 1)*(-29 - -3). Suppose 4*l = -0*l. Let n be (0 + 0 - l) + 65. What is the greatest common divisor of n and p?
13
Suppose -3*x = -4*t + 15, 4*t + 6*x - 2*x - 36 = 0. Suppose -j = -1 - t. What is the greatest common divisor of 77 and j?
7
Suppose 4*z - 3*t = 607, -2*z - 2*t = -264 - 50. Suppose -2*m = 3*m - 75. Let a be (1 + -2 + m)*1. What is the greatest common factor of a and z?
14
Suppose -29 = -4*o - 5*v, 3*v = 7*o - 4*o - 42. What is the greatest common factor of o and 33?
11
Let h = 0 - -3. Suppose -h*y = -0*y - 27. Calculate the highest common divisor of 63 and y.
9
Let c be (-1 - -3)*15/10. Suppose -2*s - 20 = -c*t, -2*s - s = -5*t + 33. What is the greatest common divisor of 6 and t?
6
Let i(b) = 27*b**3 + 2*b**2 - b. Let f be i(1). Let d be 14/f + (-237)/(-2). Calculate the highest common divisor of d and 17.
17
Suppose q + 18 = 5*w - 0*w, 2 = -3*q + 2*w. Suppose 208 = q*v + 82. What is the greatest common factor of 42 and v?
21
Let b = -6 + 8. Let y(f) = 3*f**2 + 0*f - 2*f - 5*f**3 - b - f**2. Let v be y(-2). Calculate the greatest common divisor of v and 10.
10
Let o be 12/18 + (-138)/(-9). Calculate the highest common factor of o and 4.
4
Let g = -16 + 9. Let x = 15 + g. Calculate the highest common divisor of x and 8.
8
Let z be 6 - (2 - (-7)/(-1)). What is the greatest common divisor of 121 and z?
11
Let b = 2 - 1. Let l be (b + -9)/((-3)/42). Let m be (24/(-5))/(18/(-60)). What is the greatest common factor of l and m?
16
Let u = 43 - 25. Suppose -b + u = -3*j + b, -5*b = 5*j + 5. Let o be j/(-18) - (-214)/9. What is the greatest common factor of o and 6?
6
Suppose 0 = 4*f + 8 - 28. Let l = 11 + -7. Suppose f*o - 5*q = 25, 1 = o + 2*q - l. What is the greatest common divisor of 35 and o?
5
Let p be 2/(-1)*-7*1. Calculate the highest common factor of p and 35.
7
Suppose -3 = -3*z + 2*z. Suppose -4*i + 210 = -206. Suppose 4*w - r - i = 0, -3*w + 131 - 42 = 2*r. What is the highest common divisor of w and z?
3
Let m(p) = 2*p - 5. Suppose -2*c = -2*v + 16, -2*v - 3*c = 5 - | {
"pile_set_name": "DM Mathematics"
} |
j - 3. Let c(o) = -3*h(o) - 2*t(o). Suppose -3*y - 9 = -0*y. Give c(y).
-8
Let d(r) = 1 - 2*r + r - 4 + 11. What is d(6)?
2
Suppose -5 = 2*f + 5*l + 24, 0 = 2*l + 6. Let o(h) = -h**2 - 6*h - 5. Calculate o(f).
-12
Let w(m) = -6. Let i(j) = j - 5. Suppose 2*x - 2 = -6. Let c(k) = x*i(k) + 3*w(k). Suppose -4*n - 32 = -2*b + 3*b, 3*n - 5*b + 1 = 0. What is c(n)?
6
Let b = 0 + 2. Let n = b + 1. Let g(p) = -4 - 6 + n + p**2 - 2*p**2. What is g(0)?
-7
Let u(p) = -p**2 + 4*p + 6. Let t be u(6). Let z = t - -10. Let b(l) = -5*l**2 - 12*l + 12. Let g(m) = -2*m**2 - 6*m + 6. Let v(q) = 3*b(q) - 7*g(q). Give v(z).
2
Let s(z) = 18*z - 5 + 13 - 19*z. Let w(y) = -y + 1. Let d(k) = -s(k) + 2*w(k). What is d(-5)?
-1
Suppose -2*h - h = -2*a - 18, 2*a = 6. Let g be (-25)/(-10)*h/5. Let m(n) = -n**2 + 6*n - 5. Let j be m(g). Let k(s) = s**2 - s + 1. Give k(j).
7
Let v(f) be the second derivative of -f**3/3 - 3*f. Let x = 16 - 11. Determine v(x).
-10
Let u(i) = -i**2 - i + 4. Let c be u(0). Let y(a) be the first derivative of 1/4*a**4 - 6*a + 2*a**2 + 1 - 5/3*a**3. Calculate y(c).
-6
Let d = 8 - 10. Let u(k) = 3*k. Determine u(d).
-6
Let u(j) be the second derivative of j**5/20 + 5*j**4/12 + 2*j**3/3 - 5*j**2/2 - j. Give u(-4).
-5
Let v(c) be the second derivative of -c**3/6 + c**2 - 6*c. Give v(-6).
8
Let d be (-20)/(-6) - (-10)/15. Suppose -1 = v - g, -d*v - 2*g + 2 = -6. Let y(s) = s**2 - 2*s + 1. Calculate y(v).
0
Let t(b) = -b**2 + 3*b - 2. Suppose 2*v + 3*y - 12 = -0*v, 22 = 4*v + 5*y. Give t(v).
-2
Let t = 11 - 7. Suppose -o - p = -t*p - 7, -p - 9 = o. Let r(c) be the second derivative of -c**4/12 - c**3 - 2*c**2 - c. Determine r(o).
1
Let z(b) = -17*b + 9. Let l(k) = 5*k - 3. Let g(w) = 14*l(w) + 4*z(w). Determine g(3).
0
Let p be 3/(-6)*2*3. Let h(q) be the first derivative of q**3/3 + q**2 + 3*q - 19. Determine h(p).
6
Let c(x) = -x**2 - 8*x + 8. Let y(i) = -4*i**2 - 25*i + 25. Let g(o) = -7*c(o) + 2*y(o). Give g(4).
2
Let m(w) = -5*w**2 + 11*w - 14. Let n(o) = o**2 - o + 1. Let p(v) = m(v) + 4*n(v). What is p(8)?
-18
Let y(j) = -j**3 - 5*j**2 - 4*j - 1. Let l be (-15)/(-6)*(-12)/(-15). Suppose 6 = -l*z - 0. Calculate y(z).
-7
Let p(o) = -o**2 - 7*o + 26. Let q be p(-9). Let y = -3 - -5. Let f(t) = t**2 - 3*t**y - q*t + t**2 - 6. Determine f(-6).
6
Suppose -4*o = -3*z + 8 + 4, -3*o = -5*z + 9. Suppose z = 4*l - 0 - 4. Let n(i) = 5*i**3 + i - 2*i**2 - 1 + 1. What is n(l)?
4
Let z(j) = 15*j - 5. Let q(w) = -7*w + 2. Let b(s) = 7*q(s) + 3*z(s). Let m(y) = 2*y + 1. Let p = -3 + 2. Let n be m(p). Calculate b(n).
3
Suppose -3*h + 11 = -w, -2*w = 5*h - 6*w - 16. Let c(l) = -1 + 2 + h*l - 2. Suppose -g + 6*g = 5. Give c(g).
3
Let q = -9 + 13. Suppose q*i - 4*r = -0*r + 36, 3*i - 32 = 4*r. Let d(s) = -s**2 + 8*s - 3. What is d(i)?
13
Let k(f) = 11*f - 6. Let h(x) = -5*x + 3. Let a(r) = 9*h(r) + 4*k(r). Calculate a(8).
-5
Let x = -3 - -4. Let p(a) = -54 + 5*a + 0*a + 53. What is p(x)?
4
Let g(d) be the second derivative of -d**5/20 - d**4/12 + d**3/6 + 15*d**2/2 + 2*d. Give g(0).
15
Suppose -i + 4*a = i + 16, -2*i + 14 = 2*a. Let m(x) = -13 + 2*x + 15 - 3*x**2 + x**2. Calculate m(i).
-2
Let r be (0 - 0) + 2 - 2. Let c = r + 5. Suppose 0 = -c*f + f - 8, -j + 4*f = -7. Let d(y) = y**3 + y. Give d(j).
-2
Let j(v) = v**3 - 6*v**2 + 2. Let m be j(6). Suppose 0*n - 2*n = 0. Let t(r) = m*r + n*r + 3*r. What is t(-1)?
-5
Let f(x) = x**2 - 4*x + 3. Let j be f(3). Let t(n) = -2*n**2 + n + j*n - n**2 + 2*n**2 + 7. Calculate t(0).
7
Let m(u) = u**2 - 2*u - 1. Let x(s) = s**2 - 2*s**2 + 2*s - 5 - 8*s. Let f be x(-4). Give m(f).
2
Let r(y) be the third derivative of y**5/60 + y**4/24 - y**3/3 - 7*y**2. Calculate r(-2).
0
Suppose 4*h = -0 + 8. Let i(q) be the first derivative of 1/3*q**3 - 2*q**h - 7*q + 2. Give i(5).
-2
Suppose 2*s + 23 = 5*o, 5*o - 5*s - 7 = 13. Let d(i) be the first derivative of 2*i**2 - 6*i + 1. Calculate d(o).
14
Let t(s) be the third derivative of -s**5/60 + s**4/12 + s**3/3 + s**2. Let v be 5/2 - (-1)/(-2). What is t(v)?
2
Let i(x) be the first derivative of -x**4/4 + 4*x**3/3 + 3*x**2 - 7*x - 1. Let q be (-26)/(-13) + 3 + 0. What is i(q)?
-2
Let l = 6 + -16. Let c = l - -13. Let y(a) = -2*a. Determine y(c).
-6
Let h be 7 + 5/(-9 - -4). Let w(k) = -k**3 + 7*k**2 - 2*k - 8. Give w(h).
16
Let w(x) = x. Let t(v) = 3*v**2 + 2*v + 1. Let j be t(-1). Give w(j).
2
Let j = 15 - 6. Let k(p) = -p**3 + 10*p**2 - 6*p - 9. What is k(j)?
18
Let y(l) = -4*l**2 - 4*l - 1. Let a(o) = -5*o**2 - 4*o. Let k(h) = 2*a(h) - 3*y(h). Let j = 1 + 0. Suppose j - 10 = 3*f. What is k(f)?
9
Let v(g) = -g + 8. Let n(r) = -r + 1. Let p(l) = 6*n(l) - v(l). Let c be (-2)/(-2) - (1 + -3). Let d = c + -5. Give p(d).
8
Suppose -20 = -2*q + 4*a, -3*a - 15 = 2*a. Let b(o) = 5*o**3 + 11*o**2 + o + 6. Let v(y) = 9*y**3 + 21*y**2 + y + 11. Let l(h) = 11*b(h) - 6*v(h). What is l(q)?
4
Let s(i) = -1 + 1 - i**2 + 1 + 1. Determine s(2).
-2
Let w(c) = 5*c + 12. Let g(b) = 4*b + 11. Let s(p) = 6*g(p) - 5*w(p). Give s(0).
6
Let v(r) = -r**3 + 4*r**2 + 2*r - 6. Let c = -142 + 220. Let t be c/18 + (-2)/6. What is v(t)?
2
Let j(w) = -w**3 + 7*w**2 - 5*w + 9. Let v(m) = m**3 - 6*m**2 - 6*m - 1. Let f be v(7). Calculate j(f).
15
Let j(r) be the third derivative of 1/5*r**5 - 7*r**2 + 0*r + 0 + 0*r**4 + 1/6*r**3. Calculate j(-1).
13
Let d(h) = h**3 + h**2 + h + 8. Suppose -3*s = s - 12. Suppose -z + c + 4 + 1 = 0, -s*c = 3*z - 9. Suppose 0 = -z*u + 3*u. Give d(u).
8
Let h(q) = -q**3 - 6*q**2 + q + 3. Let d = -7 - -1. Let r be h(d). Let o be 1/(-3)*(-3 - r). Let y(s) = -s - 8. Calculate y(o).
-8
Let p(s) be the first derivative of s**2 + s**2 - s**2 + 2*s + 2 + s. What is p(-3)?
-3
Let l(j) = 5*j + 3. Suppose 17*g - 4 = 19*g. Calculate l(g).
-7
Let c(o) = -o**2 + 2*o - 2. Let l(d) = d**2 - 1. Let i(n) = c(n) - l(n). Suppose -2*b = -b - 3*h + 3, -5*b + 17 = h. Calculate i(b).
-13
Let d(q) be the third derivative of q**4/24 + 11*q**3/6 + 2*q**2 + 20. Calculate d(-7).
4
Let f be 2/7 + 19/7. Let i(a) = 0*a - 2*a + f*a - 2*a + 1. Let z(q) = 2*q - 7. Let d be z(6). Calculate i(d).
-4
Let b(s) be the third derivative of -s**4/24 - 2*s**3/3 + 11*s**2. Calculate b(0).
-4
Let p be 3/(-2) + 12/8. Suppose 4*o - 16 = -p. Let u(v) = -v + 4 + 0 + 2*v. Determine u(o).
8
Let l(m) be the third derivative of -m**5/60 - 5*m**4/24 - 2*m**3/3 + 5*m**2. What is l(-6)?
-10
Let m(j) be the third derivative of j**4/8 - 2*j**3/3 + 2*j**2 + 44*j. Let p be 1/((-2)/(-10) - 0). Calculate m(p).
11
Let l(p) = 7*p + 1. Let i(z) be the third derivative of z**4/8 - 4*z**2. Let m(j) = -5*i(j) + 2*l(j). Give m(4).
-2
Let b(n) = -14*n - n**2 + 1 + 3*n + 10*n - n**2. What is b(1)?
-2
Let a = -15 - -15. Suppose -4*x = -a*d + 5*d - 33, 5 = d. Let j(g) = g**2 + g - 2. What is j(x)?
4
Let k(a) = -4 + 3*a - 1 + 3 + 4. Calculate k(2).
8
Let z(i) = -i**3 + 5*i**2 - 2*i + 5. Suppose 5*b - 3*p = 1, 3*b - 2*p + 1 = -2*b. Let f be 10/(-2)*(0 + -1). Let r be 3/((-3)/f)*b. Determine z(r).
-5
Let n(m) = -m**3 - 5*m**2 - m - 3. Let g(x) = -2*x**3 - 11*x**2 - 2*x - 6. Let s(j) = 2*g(j) - 5*n(j). Calculate s(-3).
0
Let j(c) = 0*c + c + 1 + 0*c + 0*c. What is j(-6)?
-5
Let i(f) = 2*f - 3. Let w be (-1)/3 - 10/6. Let n = w - -7. Suppose 0 = -g + 4*m + 2, -2*m - 10 = -n*g + 3*m. Calculate i(g).
1
Suppose 0 = -4*t + 8 + 12. Let g(q) = 2*q - 6. Give g(t).
4
Let k be (-4)/16*-4*5. Let o(x) = -9*x**2 + 3*x. Let t(d) = 10*d**2 - 4*d. Let h(m) = k*o(m) + 4*t(m). Let b = -2 - -1. Calculate h(b).
-4
Let a(r) = 33 + 38 - 67 - r. Determine a(2).
2
Let d(t) = -5*t - 4. Let m(h) = h. Let q be ((-3)/(-2))/((-6)/(-4)). Let g(y) = q*d(y) + 6*m(y). Suppose 0 = -2*u - 0*u. Determine g(u).
-4
Let h(u) be the first derivative of u**2/2 + 4*u - 13. Calculate h(5).
9
Let f(l) be the second derivative of l**3/6 + l**2/2 - 9*l. Let a be (-34)/(-6) + (-2)/3. Calculate f(a).
6
Let s(m) = -m**2 - m - 1. Let n(g) = -4*g**2 + 4*g - 8. Let l(h) = n(h) - 2*s(h). Let u(d) = d**2 + d + 2. Let y be u(-2). Calculate l(y).
-14
Suppose -6 = 3*c - c + 2*j, 0 = c + 2*j + 4. Let n(p) = 5*p + 1. Calculate n(c).
-9
Let t(x) = 3*x + 2. Let i = -3 - -1. Let m be t(i). Let a be (m/10)/((-2)/(-20)). Let z(y) = -y**2 - 2*y + 1. Determine z(a).
-7
Let b(f) = -f**2 - f - 8. Suppose q - 2*c - 4 = 0, 4*q + q = | {
"pile_set_name": "DM Mathematics"
} |
er.
0.3, l, -5
Let v(b) = -4*b - 6. Let q be v(-5). Sort -4, q, 1 in increasing order.
-4, 1, q
Let m = 10 + -12. Sort m, 0, -0.07 in decreasing order.
0, -0.07, m
Let x = -2.967 + -0.033. Sort x, -2, -4 in increasing order.
-4, x, -2
Let g = 0.9 - 0.83. Let w = -0.23 - g. Sort 5, -2/5, w in descending order.
5, w, -2/5
Suppose -4*a + 3*u + 189 = -9*a, -2*a = -3*u + 84. Let z be (-3)/a*2/1. Sort -0.1, z, 1 in descending order.
1, z, -0.1
Let i = -109/6 + 18. Put i, -3, -5 in decreasing order.
i, -3, -5
Let p = -1.2 - -1. Suppose -n + 2*n = 3. Put n, -2/13, p in ascending order.
p, -2/13, n
Let d(n) = n**2 - 12*n - 16. Let r be d(13). Let i = 0 - -0.3. Put i, 2/19, r in descending order.
i, 2/19, r
Let q(n) = -n**3 + 9*n**2 - 8*n - 3. Let a be q(8). Put 0, 3, a in decreasing order.
3, 0, a
Suppose 4*j + 8 = 0, -3*m + 0*j + 5*j = -16. Suppose 0 = 2*u - 0*u - 4. Let i = -4 + u. Sort i, m, -3 in ascending order.
-3, i, m
Let s(o) = -o**2 - 3*o + 12. Let r be s(-6). Put r, -2, 4 in ascending order.
r, -2, 4
Let y = 15 - 7. Let j = -10 + y. Sort 1/4, j, 11 in ascending order.
j, 1/4, 11
Let i = 8 + -4. Suppose -i*a - 5 = -5*a. Sort 0, 2, a in descending order.
a, 2, 0
Let s = 0.03 - -1.77. Let u = s + -0.8. Put 1/4, u, 2 in descending order.
2, u, 1/4
Let w(y) = y + 1. Let n be w(-5). Let q be (-6)/(-2) + -4 + 5. Suppose 0 = i - l + 4, -q*i + 3*i = -2*l + 7. Sort 2, i, n in ascending order.
n, i, 2
Let c(l) = l + 12. Let j be c(-15). Suppose v + 10 = -2*w - 2*v, 0 = -3*v - 12. Suppose 0 = -0*n - 4*n + 12. Sort n, w, j in decreasing order.
n, w, j
Let f be 10/(-15) - (-46)/6. Let l = f + -4. Suppose a + a = l*s + 8, a - 18 = 5*s. Put -0.2, -1, a in increasing order.
a, -1, -0.2
Let h(w) = w**2 - 3*w - 3. Let l be h(4). Let y be 150/(-35) + 2/7. Let c be 21/y - l/(-4). Sort -2, c, 4.
c, -2, 4
Let z(h) = -h**3 + 4*h**2 + 4*h + 7. Let o be z(5). Let f be ((-1 - -1) + -3)*-1. Suppose -4*v - 23 = f*q, -4*q + 1 = -v + 19. Sort q, 3, o in decreasing order.
3, o, q
Let k be (-2)/(-3)*(-45)/6. Suppose 0 = 3*h + 3*z + 6 + 6, -z + 4 = -h. Put h, 5, k in descending order.
5, h, k
Let s = -0.035 + -0.045. Put -3, s, -2/3 in decreasing order.
s, -2/3, -3
Let k = -12.4 + -1.6. Let o = k - -11. Put 3/7, o, 3/8 in increasing order.
o, 3/8, 3/7
Suppose -5*f + 9 = -l, 5*l - 5*f + 3 = 38. Let x = -14 - -7. Let j = x + l. Sort 0, j, -1 in descending order.
j, 0, -1
Suppose 0 = 3*q - 9 - 9. Suppose -f + 3*d - q*d = 14, -4*f - 16 = 2*d. Suppose -5*p + 0 + 10 = 0. Sort f, p, 3.
f, p, 3
Let n(k) = k**2 + 3*k - 2. Let j be n(-2). Put j, -3, -2, 4 in decreasing order.
4, -2, -3, j
Suppose 0 = -4*u + 3 - 11. Let c be 4 - (u - 0 - -3). Put 2/3, c, 0.1 in increasing order.
0.1, 2/3, c
Let r = -2.9 - -3. Put 1/4, 1, r in descending order.
1, 1/4, r
Let b(s) be the third derivative of -s**5/60 - s**4/6 + 2*s**3/3 - s**2. Let q(y) = y - 15. Let a be q(11). Let g be b(a). Sort -4, g, 5 in descending order.
5, g, -4
Suppose -q - 2 = -0*q - g, -q - 5*g - 2 = 0. Sort q, -4, 5 in descending order.
5, q, -4
Suppose n - x = -3*n + 2, -5*n + x = -2. Sort n, -14, 3, -1.
-14, -1, n, 3
Let x = 9.5 + -7. Let a = 3 - x. Sort 5, 0, a in descending order.
5, a, 0
Let v = -164 + 163. Let b be ((-10)/6)/((-1)/(-3)). Put 4, v, b in decreasing order.
4, v, b
Let o = -31 - -28. Sort o, -1, 2 in increasing order.
o, -1, 2
Let c = -3 - -3.08. Let x = 0.22 + c. Let i = 2/95 + 184/285. Sort i, 0.4, x in descending order.
i, 0.4, x
Let z(s) = -s**3 + 5*s**2 + 4*s + 7. Let w be z(6). Suppose 5*a = v + 6, -4*v + 3*a = 4*a - 18. Sort -4, w, v in decreasing order.
v, -4, w
Suppose -5*h = -2*f + 32, 5*f - 7*h - 46 = -3*h. Suppose f = g + 2*g. Let x be 6/(1 - 0) + -1. Sort x, 0, g in descending order.
x, g, 0
Let q = -6 + 9. Let u = -0.5 - 3.5. Put u, -2, q in increasing order.
u, -2, q
Let k be (-2 - (-60)/35)/((-2)/28). Put k, -1, -12 in decreasing order.
k, -1, -12
Let k(h) = 6*h**2 + 31*h + 1. Let u be k(-5). Sort 2/9, 3/5, u, -3 in decreasing order.
3/5, 2/9, -3, u
Let k = 4 + -3.9. Let w = -71 - -66.1. Let u = w - k. Sort u, 3, -2 in decreasing order.
3, -2, u
Let y(w) = -w - 3. Let b be y(4). Let c = -4 - b. Sort c, -0.1, 2 in decreasing order.
c, 2, -0.1
Let t = -0.12 - -0.42. Sort t, -2/5, -2/3, 5/3 in descending order.
5/3, t, -2/5, -2/3
Suppose -2*u - 17 = -5*i - 3*u, -4*u + 20 = 4*i. Let f be i/(-4)*(-16)/(-24). Sort -0.4, f, 2/11 in decreasing order.
2/11, -0.4, f
Let j(c) = -2*c**3 + 1. Let u be j(1). Suppose 2*f + 5*q - 55 = -f, 15 = 2*f - q. Suppose f = -4*r - r. Put -5, u, r in increasing order.
-5, r, u
Suppose c + 0*c = -i + 102, 306 = 3*c - 3*i. Sort c, -2, 3, 1.
-2, 1, 3, c
Let d = 46 + -147. Let f = d - -36. Let b be f/20 - (-3)/(-4). Put 1, b, -2 in decreasing order.
1, -2, b
Let g = -0.8 + 0.84. Let o = 3.96 + g. Let x be ((-1)/(-18))/((-1)/2). Sort o, 0.4, x.
x, 0.4, o
Let d be ((-2)/(-8))/(((-27)/(-24))/3). Sort 2/11, d, 2, -1 in descending order.
2, d, 2/11, -1
Let j = -1.6 - -7.6. Let p = j - 3. Let o = p - 8. Sort 1/9, -4, o in decreasing order.
1/9, -4, o
Suppose 0 = -r + 5 - 0. Let n = -7 - -27. Suppose -r*t = -t + n. Put 6, t, -2 in increasing order.
t, -2, 6
Let b(k) = 2*k - 32. Let y be b(16). Sort y, 4, -2.
-2, y, 4
Let l = 0.6 - 9.6. Let b = l + 8.6. Sort b, 2/5, 3 in descending order.
3, 2/5, b
Let b = -5 + 0. Let x = -1/11 + 27/55. Sort 3/14, b, x in ascending order.
b, 3/14, x
Let c be (-2)/(-2) + -3 - (-3)/2. Put -18, 0, c, -2 in increasing order.
-18, -2, c, 0
Let z = 12 - 6. Let c = z - 6. Sort 1, c, -2 in increasing order.
-2, c, 1
Let r(x) be the third derivative of x**5/120 + x**4/12 - x**3/6 + x**2. Let w(f) be the first derivative of r(f). Let g be w(-6). Sort g, 3, 1/4.
g, 1/4, 3
Let m = 0.17 - -0.03. Let r = 340 - 334.97. Let o = -0.03 + r. Put 0.3, m, o in decreasing order.
o, 0.3, m
Let b = 0.25 - -0.25. Sort -10, b, -0.4.
-10, -0.4, b
Let y(b) = -b**2 - b - 4. Let o be y(0). Let r be (8/(-6))/(1/6). Let p = r - -6. Sort o, -5, p in decreasing order.
p, o, -5
Let w = -47.3 - -47. Sort w, 8, -5, -2 in ascending order.
-5, -2, w, 8
Let s be (-6)/9 - (-32)/(-6). Let n = -5 - s. Let v = 0 + n. Put 5, 2, v in descending order.
5, 2, v
Let i = 1/50 + -53/150. Let r = -2 - -1. Let p(w) = -4*w**3. Let k be p(r). Sort i, -2, k.
-2, i, k
Let t = 50 + -54. Sort -6, -2, t in descending order.
-2, t, -6
Suppose -5*u - 34 = 4*l, -5*u - 28 = 2*l + l. Sort 5, l, -5.
l, -5, 5
Let l be 7/2 - 2/4. Let w = 0 + 4. Suppose 0*j + j = -5. Sort j, w, l in decreasing order.
w, l, j
Let j be 3 - 1*(-2 - 1). Let z = j - 3. Suppose -p = -z + 7. Put 2, p, -2 in decreasing order.
2, -2, p
Let s be (-315)/2136 + (-2)/(-16). Let v = 204/1157 + s. Sort v, -1, 0.2 in descending order.
0.2, v, -1
Suppose -2*m = 3*b - 8, -20 + 0 = -5*m. Suppose -10 = -2*h + 5*t, b = -4*h - 4*t + 8 + 12. Put 8, h, 2 in decreasing order.
8, h, 2
Let l be 2/5*5*(-1 - -2). Put l, 7, 0 in ascending order.
0, l, 7
Let v = 38 - 40. Put v, -3, 5 in ascending order.
-3, v, 5
Let b(q) = -q + 3. Let a be b(3). Put -3, a, 7 in descending order.
7, a, -3
Let m = -6.3 + 6. Let c = m - -4.3. Put 1, c, 0.3 in increasing order.
0.3, 1, c
Let r(v) = -v**2 + v + 3. Let l be r(2). Sort l, 9, 3 in decreasing order.
9, 3, l
Let c = -11 - -8. Let o be (-14)/(-2)*(-18)/(-21). Suppose -g = -2 + o. Sort g, c, -5 in decreasing order.
c, g, -5
Let l = 69/85 - 24/17. Let q = 1.7 + -2. Sort q, l, 0.2 in increasing order.
l, q, 0.2
Suppose -3*j + 5 - 2 = 0. Let a(w) = -w - 6. Let y be a(-5). Suppose 0 = -6*l + 5*l. Sort y, l, j in increasing order.
y, l, j
Let y = 2.4 - -0.6. Let i = 1 + 2. Let f = i - 3. Sort f, -2, y in increasing order.
-2, f, y
Let a be 3/12*(-8)/(-7). Let r(w) = -w**3 - 2*w**2 - w - 1. Let d be r(-2). Let z = d + 3. Sort a, z, -3 in ascending order.
-3, a, z
Let v = -0.2 - 0.8. Let w = 0 + v. Let i = 19 - 96/5. Sort w, -0.4, i in decreasing order.
i, -0.4, w
Let g be 4/(-10) + 36/15. Suppose k + 2*k + 4*d - 7 = 0, g*d - 5 = -3*k. Suppose -4*w = -w. Put -3, w, k in descending order.
k, w, -3
Suppose -224 = -4*k - 2*z, k + 5*z = 6*k - 295. Let o be (-3)/4 - k/(-12). Suppose -l = -2*l - o. Put 3, l, 4 in increasing order.
l, 3, 4
Let d(f) = -f**2 - 3*f - 1. Let p be d(-3). Let r be -7 + 6 - (p - -3). Sort -2, r, -0.5.
r, - | {
"pile_set_name": "DM Mathematics"
} |
209/18 + -11/9. Calculate the common denominator of 2/(-7) + (-996)/(-105) and k.
30
Let c = -3044023/6 + 509278. Let j = 1928 - c. Calculate the common denominator of j and 109/6.
6
Let x(b) = b**3 - 9*b**2 + 12*b. Let m be x(8). Suppose j - m = 4*n, n + 15 + 26 = 3*j. Let q = j - 2. What is the smallest common multiple of 4 and q?
20
Let t(j) = 11*j - 4. Calculate the least common multiple of t(2) and 16.
144
Let h = 15/203 - -3001/6090. Find the common denominator of 55/14 and h.
210
Suppose j = 4*j - 3*y + 6, 5 = -5*j + 4*y. What is the common denominator of 2 + -47*1/(-10) and (j/(-1))/((-24)/57)?
40
Let w = 97 + -93. What is the smallest common multiple of 4 and w?
4
Let y be (((-10)/(-41))/2)/(-7). Let a = -12079/1435 - y. Calculate the common denominator of a and 28.
5
Suppose 0 = 2*c - 5*t + 47, 72 = -5*c - t - 113. Calculate the common denominator of c and (-176)/(-9)*(-1)/(-4).
9
Let d = -46 - 10. Let j = -38 - d. What is the least common multiple of 10 + -3*((-16)/(-12) + 0) and j?
18
Let g = -1 - -19. Let k(n) = n**3 + 2*n**2 + 4*n - 10. What is the least common multiple of k(2) and g?
126
Let o = -8752 - -61618/9. Let p = -1898 - o. Calculate the common denominator of p and -5/9.
9
Let x = 2/5961 - 40405/7948. What is the common denominator of x and -61/20?
60
Suppose 0 = -4*a - n + 53, 2*a - 5*n + 1 = -0. Suppose 2*l + 38 = 5*w, 0 = 4*w - l - l - 30. What is the least common multiple of w and a?
24
Suppose 2*i - 2*k - 56 = -2*i, 0 = -4*k. Let n be i + (6 - 9/3). Suppose n - 3 = u. What is the smallest common multiple of u and 12?
84
Suppose 3*q - 30 = -3*o, 3*o - 9 = 2*q + 11. Find the common denominator of (-2)/o + (-52)/6 and 61/2.
12
Let m = 7 - 2. Calculate the lowest common multiple of m and 6.
30
What is the lowest common multiple of (1/(-3))/(2/(-42)) and 11?
77
Suppose -3*d - 3*d = 150. Calculate the common denominator of 40/11 and d.
11
Suppose -c = u + 3*u - 12, 12 = -4*u + 5*c. Let w = 4 - u. What is the least common multiple of 16 and w?
16
Suppose 82 = -6*v + 250. Calculate the smallest common multiple of 36 and v.
252
Let v = 31 - 20. What is the least common multiple of v and 4?
44
Let o = -13 - -21. Suppose -o*p = -9*p + 8. Suppose 0 = -t + 4*q - 2, 0 = -2*t - 7*q + 2*q + 35. Calculate the lowest common multiple of p and t.
40
Let y = -10 - -20. Let s(t) = t**2 - 15*t + 2. What is the smallest common multiple of y and s(15)?
10
Let f = 14 - 12. Let o = 6 - f. What is the lowest common multiple of 10 and o?
20
Suppose 0*s - 2*s = -4. Calculate the common denominator of 5/(-45) + s + -1 and -1*2/16*-61.
72
Calculate the common denominator of -1 + 17*4/(-80) and 2/8 + 645/100.
20
What is the common denominator of ((-623)/(-6))/7 - 2 and -54/7?
42
Let f = -8574/11 - -777. What is the common denominator of f and (-3)/(-27)*1*33?
33
Suppose -2*c = -4*t - 8, -4*c + 4*t - 7 + 31 = 0. What is the least common multiple of 36 and c?
72
What is the common denominator of 47/3 and 803/55*(-10)/(-16)?
24
Suppose -2*x = 2*x + 8. Let g be (x/1 - -1) + 0. Calculate the common denominator of 61/20 and g/15*(-870)/12.
60
Suppose -5*h = 3*u - 2*u + 6, 5*u = -4*h - 9. Calculate the common denominator of (-11)/((-484)/(-24)) - u and -121/10.
110
What is the common denominator of (-3 + 45/16)*92 and ((-3)/(-15))/(1/(-4))?
20
Let h = 7 - 13. Suppose -c + 16 = 3*c, -2*o + c + 6 = 0. Calculate the lowest common multiple of 8 and (h/o)/(9/(-30)).
8
Let l(q) = -52*q - 1. Let o be l(-1). Suppose -3*v + 14 = -4*s + o, -5 = -2*s - 3*v. What is the smallest common multiple of 3 and s?
21
Let b = 1543/9 - 523/3. Calculate the common denominator of b and 169/30.
90
Let z = 29 + -13. Find the common denominator of -69/10 and 460/(-54)*(-12)/z.
90
Suppose -24 = 5*j - 5*c + 16, -4*j - 2*c - 44 = 0. Calculate the lowest common multiple of 75/6*(-8)/j and 5.
10
Let q = 0 + 5. Suppose q*n = 25, -h - 2*n = h - 12. Suppose 2*s - 31 = h. What is the least common multiple of s and 22?
176
Let m = -130337/10 + 13044. Let u = 1240/7 - 6452/35. Find the common denominator of m and u.
10
Let c(p) = -p**3 - 4*p**2 + p + 5. What is the least common multiple of c(-4) and 10?
10
Let d = -6/1927 + 152449/69372. Calculate the common denominator of -3/2 and d.
36
Let k be 3 - (1689/396 + -1). Let o = 419/66 + k. What is the common denominator of o and 21/16?
48
Let x = 5 + -2. What is the common denominator of 1*1/x*-7 and -11/3?
3
Let i be (126667/(-698) + -3)/(-45). Let u = 14195/4 + -44586487/12564. Let d = u + i. Find the common denominator of -18 and d.
10
Let c = 30 - 19. Suppose -4 = -5*y - 4*u + 3, -3*u = -4*y + 18. What is the smallest common multiple of y and c?
33
Let w = 2591/70 - 180/7. Calculate the common denominator of 23/14 and w.
70
Let c = -2 - -2. Suppose 0*g - 3*g + 28 = 4*z, c = -2*g + 4*z + 12. Suppose 0 = -2*f + 4*f - 36. What is the least common multiple of g and f?
72
Suppose -f + 5*x = -0*f - 49, 0 = 4*x + 20. What is the common denominator of ((-156)/(-40))/(f/(-10)) and 22/3?
24
Let t(q) = -q**3 - 2*q - 1. Let l be t(-3). Suppose -2*g = -3*d - 7 - 11, -4*g + l = -4*d. Calculate the least common multiple of g and 22 + -24 + (1 + 0 - -6).
30
Calculate the smallest common multiple of (2 - 3)/((-1)/10) and 40.
40
Let q = -1944 + 19423/10. Let j = 89/5 - q. What is the common denominator of 59/16 and j?
16
Let o = 11650/6369 - 84/193. Calculate the common denominator of 13/18 and o.
198
Suppose 0 = n - 5*r - 31, -6*r = -2*r + 20. What is the smallest common multiple of n and 3?
6
Let a be -5 - -1 - -2 - 9. Let x = a + 15. Calculate the least common multiple of x and 4.
4
Let d = -952615 + 10470227/11. Let l = 777 + d. Let y = -3341/6 + 555. What is the common denominator of y and l?
66
Let x = -7 + 12. Suppose -5*w + 4*r + x + 1 = 0, 0 = -w + 2*r. Suppose w*b - 2 = 2. What is the least common multiple of b and 4?
4
Let t(f) = 4*f**2 + 3*f - 1. Calculate the least common multiple of 8 and t(1).
24
What is the common denominator of 80/33 and (6 - 16/2)/(48/122)?
132
Suppose 3*o = -2*o. Suppose -3*n - n - 120 = o. Find the common denominator of (-17)/n - 4/10 and -39/7.
42
Let h = -1/493 - 9359/3944. Calculate the common denominator of h and -1 - 23/5 - 0.
40
Let k(i) = 4*i - 3. Let v(w) = 3*w - 4. Let j(h) = -5*k(h) + 4*v(h). Let u be j(7). Find the common denominator of 29/12 and (u/30)/((-2)/25).
12
Suppose 3*r = 59 + 1. Let k = 10 + -2. What is the smallest common multiple of r and k?
40
Let h(p) = -2*p**2 - 3*p - 2. Let x be h(-2). What is the common denominator of (-1 - 142/x) + 1 and -109/6?
6
Let q = 6 - 2. Suppose -5*b = -3*b - q. Calculate the smallest common multiple of 9 and b.
18
Let y(s) be the first derivative of -s**3/3 + 7*s**2/2 - 5*s + 2. Let w be y(6). Find the common denominator of 244/56 + -2*w and -85/8.
56
Find the common denominator of (105/12 - -3) + 2/4 and -103/34.
68
Let r = -7852578/239 + 18537909215/564518. Let m = -2/1181 - r. Calculate the common denominator of (-124)/(-42) - 6/21 and m.
6
Suppose 0 = -n + 12 - 10. What is the least common multiple of n and 7?
14
Let i(n) = -2*n - 12. Let u be i(-10). Let h = 1328/45 - 187/5. Calculate the common denominator of h and (u/84)/1*-36.
63
Suppose 3*w - o - 17 = 0, 2 - 43 = -4*w + 5*o. Suppose -w*h - 4 = -0*h. What is the least common multiple of h - (2 - 8 - 1) and 7?
42
Let c be (-9 - 1)*(-1)/(-2). Let o = -3 - c. Calculate the smallest common multiple of 4/((-1 + o)/2) and 4.
8
Let u = -10961/88 + 1234/11. Find the common denominator of u and 25/18.
72
Let d = 18519/1970 - 138/197. Find the common denominator of 37/13 and d.
130
Let w(q) = 4*q**2 + 1. Let v be w(-1). Suppose -v*f + 3*b = 4*b + 3, 5*b + 15 = 2*f. Calculate the lowest common multiple of f + (0 - 1 - -7) and 9.
18
Let o = -326327/12924 - 1/3231. What is the common denominator of o and 498/4*2/24?
8
Let m(v) = -v + 15. Let y be m(7). Let r(o) = o - 8*o - 3*o**3 + 2*o**3 - y*o**2 + 8. What is the smallest common multiple of 22 and r(-7)?
88
Calculate the common denominator of (-50)/148*456/120 and 59/14.
518
Suppose 0 = 6*n + n - 294. Calculate the smallest common multiple of 10 and n.
210
Let c = -6589/14 - -469. What is the common denominator of (1 - (-36)/(-32))/(2/(-108)) and c?
28
Calculate the c | {
"pile_set_name": "DM Mathematics"
} |
+ 5. Let j(f) = -4597*f**3 + 10*f**2 + 118*f - 8. Let a(d) = 5*j(d) + 8*t(d). What is the third derivative of a(b) wrt b?
9258
Let y = -76 - -80. What is the second derivative of 7*f + 0*f**y - 8*f**5 + 9*f + 2*f**4 + 12*f wrt f?
-160*f**3 + 24*f**2
Let t(c) be the first derivative of 11*c**6/360 + 4*c**4/3 - 2*c**3 - 5*c - 91. Let h(x) be the third derivative of t(x). What is the derivative of h(f) wrt f?
22*f
Let p(h) be the third derivative of -h**6/30 + 59*h**4/4 - 1175*h**3/3 - 66*h**2 - 7. Differentiate p(j) with respect to j.
-12*j**2 + 354
Let a(c) = 1501*c**4 + 19*c + 6189. Let w(p) = -500*p**4 - 6*p - 2061. Let j(s) = -6*a(s) - 19*w(s). Find the first derivative of j(f) wrt f.
1976*f**3
Let h(g) = 995*g**4 + 413*g**2 - 7*g + 10. Let v(o) = -994*o**4 - 412*o**2 + 6*o - 8. Let b(f) = -4*h(f) - 5*v(f). What is the third derivative of b(d) wrt d?
23760*d
What is the third derivative of 2070*d**2 - 1 + 13*d**6 - 1391*d - 2071*d**2 + 19*d**4 + 475*d wrt d?
1560*d**3 + 456*d
What is the third derivative of -13*a**2 - 2*a - 25*a**2 + 8*a**2 + 149*a**2 - 3798*a**5 - 59*a**5 wrt a?
-231420*a**2
Let r = -25319 - -50669/2. Let u(y) be the second derivative of 0*y**3 + 0 - 14*y - 13/12*y**4 + r*y**2. What is the first derivative of u(m) wrt m?
-26*m
Let r(k) be the second derivative of 0 + 0*k**2 - 1/30*k**6 + 41/12*k**4 - 1/4*k**5 - 136*k + 0*k**3. What is the third derivative of r(q) wrt q?
-24*q - 30
Differentiate -3776 - 537 - 168*g**2 - 285*g**2 + 840 - 3483*g**2 with respect to g.
-7872*g
Let b be (-6)/(-42) - 20/(-7). Suppose 0 = 3*w - 3*s + 3, -3*w - b*s + 0*s = -15. Find the third derivative of 19*o**w - 27*o**4 + 34*o**6 + 27*o**4 wrt o.
4080*o**3
Let o(d) = -3*d**2 + 2*d. Let z(l) = -11*l**2 - 64*l - 1621. Let y(c) = -5*o(c) + z(c). Differentiate y(a) with respect to a.
8*a - 74
Let s(o) be the first derivative of -3771*o**5/5 + o**3 - 358*o + 3609. What is the third derivative of s(j) wrt j?
-90504*j
Let l(a) = -a**3 - 8*a**2 + 7*a + 3. Let k be l(-8). Let r = k - -61. Find the first derivative of -r + 0 + 12*d**2 + 3 wrt d.
24*d
Let m(k) = 588*k**2 - 18*k - 3527. Let n(l) = -591*l**2 + 12*l + 3525. Let z(a) = -2*m(a) - 3*n(a). Find the first derivative of z(x) wrt x.
1194*x
Suppose -40*h - 10 = -90. Let l(k) be the first derivative of 0*k**4 + 0*k**5 - 5 + 0*k + 0*k**3 - 4/3*k**6 - 6*k**h. Find the second derivative of l(x) wrt x.
-160*x**3
Let k be 2/(6/27) + 3. Suppose -2*r - 12 = -3*g, -3*r = -2*g - g + 15. Differentiate -4*j - k + 8*j + g with respect to j.
4
Let h(i) be the first derivative of 1889*i**5/5 + i**4/2 + 704*i**3 + i**2 - 8890. Find the third derivative of h(d) wrt d.
45336*d + 12
Let s(p) = -7*p + 104. Let v be s(14). Find the first derivative of -4 - 2*i - 119*i**3 + v - 54 + 2*i wrt i.
-357*i**2
Differentiate -879*s**3 - 466 - 297 - 580*s**3 wrt s.
-4377*s**2
Let a(i) be the first derivative of -4*i**5/5 + 189*i**4/4 + 2247*i - 1581. Differentiate a(j) wrt j.
-16*j**3 + 567*j**2
Let x(h) = 22*h**2 + 3*h. Let c(p) = 3740*p**2 - 41*p + 33. Let v(j) = c(j) + 2*x(j). What is the second derivative of v(r) wrt r?
7568
Let d be -6 + 5 - (-9 - -1). What is the second derivative of -13 - 6 - 5*u + 2*u**2 + 30 - 3*u - d wrt u?
4
Let i(u) be the third derivative of 65*u**2 + 0 - 13/15*u**5 + 0*u**4 + 0*u + 13/42*u**7 + 0*u**3 + 0*u**6. What is the third derivative of i(c) wrt c?
1560*c
Let y = 942 - 940. Let a(n) be the first derivative of y - 9*n - 13/2*n**2. What is the derivative of a(o) wrt o?
-13
Let k(b) = -13*b - 2. Let t be k(-1). Let d(u) be the first derivative of t*u**2 + 121*u - 62*u - 81*u + 22. Find the first derivative of d(p) wrt p.
22
Let l be 0 + (-4 - -6 - -80). Differentiate -15 + 50 + 12 - l*h with respect to h.
-82
Let s(i) = -965*i**4 - 6*i**3 - 42*i + 1522. Let f(y) = -964*y**4 - 5*y**3 - 35*y + 1522. Let w(x) = -6*f(x) + 5*s(x). Differentiate w(h) with respect to h.
3836*h**3
Let y(h) be the first derivative of 5339*h**4/2 - 4*h**3 - 251*h - 8026. What is the third derivative of y(b) wrt b?
64068
What is the first derivative of -964 - 28*b + 1842 - 994 - 16*b**2 - 822 wrt b?
-32*b - 28
Let u = -97 + 100. Suppose -h + u = 2*p - 3, -4*p + 12 = -5*h. What is the second derivative of h*o - 21*o**5 - 5*o - o - 6*o wrt o?
-420*o**3
Let l(j) be the third derivative of -53*j**7/70 + 7*j**5/60 + 434*j**3/3 - 21*j**2 - 3*j. Differentiate l(c) with respect to c.
-636*c**3 + 14*c
Let i(w) = 2627*w**4 + 3*w**3 + 3*w**2 - 63. Let o(f) = f**3 + f**2 - 20. Let p(r) = -2*i(r) + 6*o(r). Find the first derivative of p(n) wrt n.
-21016*n**3
Let v = 54 - 52. What is the third derivative of 6*u**3 + 4*u**3 + 6*u**3 - 24*u**2 - v*u**4 - 17*u**3 wrt u?
-48*u - 6
Let n = 16 - 14. Suppose 18 = 4*b + o, n*b - 3*b - 3*o = -10. What is the first derivative of 34*y**4 + 2 + 11 - 23*y**b wrt y?
44*y**3
Suppose 8*c - 1 = 7*c. Find the second derivative of 22*d**4 + 16*d**4 + 46*d**4 - c + 9*d wrt d.
1008*d**2
Let c(q) = -q + 1. Let g = 156 - 142. Let y(m) = -25*m - 18. Let l(r) = g*c(r) + 2*y(r). What is the derivative of l(f) wrt f?
-64
What is the derivative of -394461*x**2 - 395875*x**2 - 5945 + 789324*x**2 wrt x?
-2024*x
Let q(s) be the third derivative of -s**3/6 + 3*s**2 - 2*s. Let g = 12 + -8. Let t(x) = 23*x + 11. Let n(u) = g*q(u) + t(u). Differentiate n(m) wrt m.
23
Let d(x) = -16117*x**3 - 25*x**2 + 19888. Let o(h) = -2686*h**3 - 4*h**2 + 3315. Let j(c) = -4*d(c) + 25*o(c). Find the first derivative of j(y) wrt y.
-8046*y**2
Let u = 14 - 9. Suppose -2*j - u*g + 3*g = -20, 3*j + 4*g - 35 = 0. What is the derivative of 24 - 42 - 18*p + j*p wrt p?
-13
Let m(w) be the second derivative of 603*w**5/10 + 41*w**3/3 - 17*w**2/2 - 5869*w. Find the second derivative of m(b) wrt b.
7236*b
Differentiate -1791 - 115259*q + 118430*q + 147 with respect to q.
3171
Let q(y) = 3*y**4 - y**3 + 3. Let d(n) = 2002*n**4 - 7*n**3 + 3646. Let h(p) = -d(p) + 5*q(p). Differentiate h(l) with respect to l.
-7948*l**3 + 6*l**2
Let c(y) = 297*y - 4546. Let q(z) = -147*z + 2274. Let a(o) = 4*c(o) + 9*q(o). Differentiate a(v) with respect to v.
-135
Let v(c) be the third derivative of c**5/60 + 93*c**4/2 - 3359*c**3/6 - 4710*c**2. Find the first derivative of v(l) wrt l.
2*l + 1116
Let o(y) be the first derivative of 2/3*y**3 - 2*y**2 + 91 - 200*y. What is the first derivative of o(p) wrt p?
4*p - 4
Let n(y) be the third derivative of -115*y**6/12 - 4*y**4/3 - 400*y**2 + 2*y. What is the second derivative of n(k) wrt k?
-6900*k
Let q = 62 + -56. Suppose -2*b - 1 = -5. Find the third derivative of 832*k**5 - 13*k**q - 832*k**5 + 4*k**b wrt k.
-1560*k**3
What is the second derivative of 74*p**2 + 23*p + 217*p**2 + 374*p**2 - 8*p - 16*p - 5 wrt p?
1330
Let y(z) be the second derivative of -1877*z**6/15 - 673*z**4/2 - z**3/6 + 291*z + 10. What is the third derivative of y(s) wrt s?
-90096*s
Let a = 21 + -18. Find the first derivative of 39*c**3 + 35*c**3 + 34*c**a - 103 + 3*c**3 wrt c.
333*c**2
What is the derivative of 2633 - 776*a - 1468*a - 674*a wrt a?
-2918
Suppose -2*n - 4*y + 28 = 0, 4*y - 12 = 2*n - 0*y. Let s = -381 + 390. What is the derivative of -s - 126*d**4 + 64*d**4 + 68*d**n wrt d?
24*d**3
Let g be 1*(7 + -4)*3. Find the second derivative of 20*w**2 + 2*w**2 + 45*w**2 + 4 + g*w wrt w.
134
Find the third derivative of 523 - a**2 - a**5 + 37*a**3 + 341 - 65*a**3 wrt a.
-60*a**2 - 168
What is the third derivative of -2*x - 188*x**2 - 349 + 251 - 3692*x**3 + 102 wrt x?
-22152
Let u = 10 - -44. Suppose 4*c - u = -5*l, 21 = 3*c - 5*l - 2. What is the second derivative of -c*d + 13*d**2 + 4*d**2 + 4*d**2 - 4*d**2 wrt d?
34
Let n(u) be the second derivative of -68*u**4 + 775*u**2/2 - 855*u. What is the first derivative of n(z) wrt z?
-1632*z
Suppose 6 = -3*a - 4*v, -9*v + 9 = -12*v. Let n(j) be the first derivative of 7/5*j**5 + 0*j**3 - 3 - 20*j + 0*j**a + 0*j**4. Differentiate n(o) wrt o.
28*o**3
Suppose -u = -3*i + 5, -5*i + 5*u = 8*u - 27. Let g be 3 - i/((-30)/(-16) + -2). What is the second derivative of -31*w**2 - 18*w - 26 - g + 53 wrt w?
-62
Let w = 105 - 47. Let r(p) = 4*p**2 - 123*p - 122. Let f be r(-1). What is the derivative of 16 - w + 17 - f*v wrt v?
-5
Differentiate -430*a**3 + 361*a**3 + 4634 - 603*a**3 wrt a.
-2016*a**2
Let | {
"pile_set_name": "DM Mathematics"
} |
137 - 62)?
65
Evaluate -10 + (-1 - -4) + (10 - 26 - 13) + 175.
139
Calculate (8 - 13 - (6 - (-1 - -21))) + 3.
12
(17 + 1 - 2) + (-356 - -347) - (1 - -19)
-13
Calculate -49 + -4 - (2 + -7 + (1 - -10) - 12).
-47
Calculate 21 + 12 + -39 - -49.
43
Calculate (37 - -12) + (10 - ((-3 + 6 - -3) + 0)).
53
Calculate 193 + -187 - (6 - 6 - -31).
-25
What is the value of -1 + 4 + -31 + 130 + -86 - (119 + -5)?
-98
What is the value of -17 - -61 - (33 - -27 - 28)?
12
Evaluate (18 - 1) + -335 + 443 + -33 + -2.
90
-13 - -1 - (4031 + -4027)
-16
What is -56 + (-48 - (-47 + -103))?
46
Calculate 5096 + -5094 + (-2 + 0 + 3 + -1 - -41).
43
Calculate 4 - -16 - (76 + -16).
-40
Calculate (1069 - 1081) + (3 - (6 - -2)).
-17
What is the value of 20 - 25 - (2 + 2) - (-250 - -343)?
-102
What is 1 - (-80 - -42 - -65)?
-26
Calculate (37 - 39) + (-4 - -2 - 23).
-27
Evaluate 4238 + -4298 - (-50 - 2).
-8
(-1 - -1) + -45 - (-1 + 38 + (9284 - 9316))
-50
What is -1 + -8 + 2 + (30 - 21 - 41)?
-39
What is the value of (-1 - -17) + -7 + -9 + (124 - 114)?
10
Evaluate (18 - ((37 - 10) + 5)) + 33.
19
What is -49 - (0 - 4) - -9?
-36
What is the value of -11 + (33 - 49 - -24) + 48?
45
Evaluate 1 + (-10 - (-5 - 21)) + (20 - -2).
39
Evaluate -31 + (-1 - -8) + (-8 - 8).
-40
Calculate 26 + 11 + -2 - -44.
79
Calculate 39 + 44 + -96 + -29.
-42
What is -19 + -8 + 29 + 51?
53
Calculate 15 - (60 + -29 + 30).
-46
Calculate 31 - ((110 - 0) + (-243 - -259)).
-95
(-8 + 1 - 3) + (125 - 150 - (-2 - -7))
-40
What is the value of (-25 - -166) + (-924 - -773)?
-10
Calculate 701 - 808 - (-1 - -12) - 39.
-157
What is the value of 0 + -31 - (-59 - -101 - 5)?
-68
Evaluate (-8 - 88) + (38 + 5 - (-8 + 34)).
-79
-24 - (-12 - 4) - (-32 + 0 + (38 - 43))
29
What is (99 - 105) + (-3 - -1) + 3 - -51?
46
Calculate 790 - 740 - (-2 - -5).
47
19 - ((16 - 11) + (-6 - (0 - 11))) - -45
54
Evaluate 15 + -65 + -30 + -9 + 25.
-64
37 - (-15 + -2 + (5 - 2)) - -18
69
What is -16 - (-39 + 52) - -50?
21
Calculate (6 - -35) + 0 + (-32 - -27 - -25 - 9).
52
What is 27 - (-24 - (-16 - 24))?
11
Evaluate (10 - ((12 - 14) + -2 + (-15 - -11))) + 12.
30
Evaluate (-18 + -56 + -22 - -2) + 17.
-77
Calculate 107 + -3 + 179 + -226.
57
(3 + -1 - (-35 + 9 + 36) - -15) + 35
42
What is -8 - 18 - -125 - (-38 - -39)?
98
Calculate 1 + 2 - (6 + 2 + 3 + -2 - 47).
41
Calculate -58 - (25 + -90) - (0 - -26) - -21.
2
What is the value of -1 + -3 + 11 + (13 - 5) + -24?
-9
Evaluate 44 - (65 - 13) - (14 - 5).
-17
Calculate 0 + -10 - (5 + 4 + -13 + 27 - 0).
-33
34 + 41 + 5 - 31
49
What is 20 + -170 + 39 - (-6 + 20 - 0)?
-125
Calculate (1 - -38) + (-19 - -27 - (1 - -22 - 7)).
31
What is the value of -19 + (24 + -12 - (29 - (-7 - -13)))?
-30
What is the value of -30 + 7 + -40 - (-11 - (5 + -7))?
-54
Evaluate 1234 - 1213 - (0 - 11 - 0).
32
What is the value of 39 + (-23 + 20 + -83 - 0)?
-47
Evaluate 0 + -2 + 1 + -124 + 111 - (-4 - -6).
-16
Evaluate 24 + -1 + -60 + (5 + -3 - -1 - -8).
-26
Calculate (32 - (-35 + 27)) + (0 - -9) + -3.
46
Calculate (12 - (21 - -10)) + (2 - -8).
-9
Calculate (71 - 71) + (17 - (7 - (3 + -1))).
12
What is (-219 - -227) + (7 + -6 - -3 - 42)?
-30
Calculate -61 - (-2 + (-3 - (-2 - -11 - (-17 + 23)))).
-53
-39 + 15 + 6 + (3 - 9 - -7) + -7
-24
What is (11 - (-1 - -4)) + (-2 - ((29 - 6) + -5))?
-12
-62 + 1 + 0 + 4 - (1561 + -1559)
-59
Calculate 7 - (-16 - (-1 - -1 - (-9 - (-21 - 0)))).
11
What is the value of (10 - -1) + (4627 - 4669)?
-31
What is the value of -45 + -13 + (43 - (-8 - -27))?
-34
What is -22 - -2 - (-38 - -102 - 82)?
-2
Calculate (66 - (14 + -1 + -5)) + (16 - 9).
65
What is the value of 92 - (3 - 2 - (-5 - -11) - (-26 - -24))?
95
What is (24 - (-28 + 37) - (100 + -4)) + (-1 - -16)?
-66
(1 + 4 - (0 - -7)) + 12 - (-12 - -2)
20
What is -37 + 42 + (-16 - (0 - 2)) - 32?
-41
Evaluate (3 - -35) + -16 + 12 + 1 + (-15 - -8).
28
What is 15 + 12 + -148 + 90 - 39?
-70
What is the value of 48 - (-24 - (19 - 69))?
22
What is the value of 40 + 12 + -7 + 9 + -6 - -3?
51
(-9 + 2 + 13 - -3 - -2) + (128 - 23)
116
Evaluate 290 + -181 + (64 - 75).
98
Evaluate -72 + -94 + (10 - -180).
24
Calculate (37 - -2) + -34 + 1 + 14.
20
Calculate 0 + (0 - 98) - (-145 + 117 - (4 - 28)).
-94
What is the value of 16 + -20 + 31 + (-25 - -10)?
12
Evaluate 65 + 0 + (-16 - -30 - 13) + (-14 - -7).
59
What is the value of 1826 + -1812 + (-5 - -63)?
72
Evaluate 10 + 3 + 4 + 3 + -56 + 7.
-29
What is -32 - (-14 - -1 - (63 - 85))?
-41
Calculate (20 - 7) + 26 - (42 + 93).
-96
-82 + 78 + -48 + (-11 - (-10 - -5))
-58
Evaluate -2 + (-1 - (-6 - -13)) + (-12 - (15 + 58)).
-95
Calculate (41 - (46 - (75 - 36))) + -61.
-27
Evaluate 17 - (11 - (14 - -18)).
38
Calculate 20 + 16 + (52 - 24).
64
What is (-58 - -36 - -24) + 15?
17
What is the value of -11 + (13 - 25) + (-10 - (-12 + -9))?
-12
Evaluate -90 - (-9 + -2) - (34 + -53).
-60
Calculate -117 - -56 - -200 - 32.
107
What is (-8 - (-5 + 23 + -12)) + -10 + 21?
-3
What is 27 + 58 + ((-5 - (5 + -5)) + 5 - 1)?
84
-80 + (24 - 6) + -9 + 0 + 13 + -12
-70
What is (34 + -18 - 7) + -52 + 125 + 0 + 0?
82
Calculate 8 + (-1 + 0 + 10 - (-797 - -801)) + -32.
-19
Calculate -9 + (9 + -11 - 17) + 10 + -6.
-24
Evaluate 1 + (-2 + 8 - 14) + 6 + -2.
-3
(57 - (-51 + 76)) + 54
86
Calculate -4 + -15 + 13 + -3 + 72 - -14.
77
What is the value of (4 - 8 - (-10 + 6)) + (-9 - 31 - -37)?
-3
(9 - (-9 + (9 - -5))) + 47 + -6
45
Calculate (-257 + 249 - (-2 + -5)) + -66.
-67
-17 + -1 - ((38 - 11) + -76)
31
What is the value of 7 + -3 + -9 + (-1 - (8 + -71)) + 11?
68
Calculate 4 + (-10 - -5) - (1 + (-43 - (11 - -4))).
56
What is the value of 15 - ((41 - -18) + -9) - (-1 + 12)?
-46
Evaluate -29 + 93 + 28 + -56.
36
Evaluate 10 + -20 + 4 + (51 - 57) + 15 + -137.
-134
Evaluate -2 - ((0 - -1) + 45 + -28).
-20
Evaluate (-1687 - -1662) + -1 + -30.
-56
Evaluate 10 - (40 + (32 - 173)) - -7.
118
-271 + 243 - (6 - (4 - -42))
12
0 + 22 + 57 + (-69 - 12) + -65 + -1
-68
Calculate -1 + -1 + 7 - (-7081 - -6995).
91
(4 - (-2 - -13)) + 14 - (3 + 3 + 23)
-22
What is the value of 3 - (-3 - 8) - (23 + (28 - -25 - 9))?
-53
What is the value of (-41 - 1) + (-43 + 49 + 4 - (13 + -1))?
-44
(0 - -36) + (221 - 261 - 55)
-59
What is 2 + 2 - (11 - (6 - -6 - 14)) - 7?
-16
Evaluate 28 - (47 + -4 + 24 - 35).
-4
What is the value of 144 - -1 - 6 - (1 + -16 + 22) - 2?
130
Evaluate -6 + -43 + 84 + -1.
34
34 - 56 - 14 - -68
32
Evaluate (-18 - -26) + 21 - -34 - 3.
60
What is 27 - ((-95 - -32) + 115)?
-25
10 + 3 + (-2 - 0) + -10 - 34
-33
Evaluate 117 + (18 - (13 - 12 - -12) - (32 - 17)).
107
Calculate (3 - -1) + (-48 + 48 - 19).
-15
(-39 - 3) + 43 + 32
33
What is -68 - -106 - (10 + 27)?
1
What is the value of 4 + 1 + -1 + 6 + -6 + (-643 - -622)?
-17
Evaluate (-42 - -2 - 2) + (16 - -7) + -7 + -8.
-34
-2 - 33 - (14 - (-1 + 7 + 19))
-24
3587 + -3585 + (0 - 15) + 0
-13
Evaluate (-35 + -1 + (23 - -3) - (0 - 2)) + -28.
-36
What is 9 - -1 - (-62 - -23 - -67)?
-18
Evaluate -10 - 24 - (5 + 6) - (13 - 1).
-57
-27 - (3 + 54 + (41 - 69))
-56
What is the value of (-12 - -28 - 25 - -7) + -46?
-48
What is (-5 - (-2 - 9) - -8) + 27 + -21 + -4?
16
Evaluate 16 + (17 - (14 + -19)) + 16.
54
What is the value of 26 + 2 + -10 - (-41 - 23)?
82
Calculate -69 + (84 - -116) - 182.
-51
Calculate 44 + (-47 - -40) - -21.
58
Calculate -5789 - -5770 - (-1 - (-25 - -1)).
-42
What is -1 + 21 + 1 + -6 + 216 + -181?
50
Calculate -42 - (22 - (25 - (40 - 20) - -8)).
-51
Evaluate 864 + -860 - (62 - -1 - (2 + -2) - 0).
-59
What is the value of -21 + -1 + 0 + 14203 + -14140?
41
(18 - 23 - 10 - -3) + 22 + -47
-37
7 - 18 - (-6 + (-15 - -15) + -1)
-4
What is the value of -42 - -109 - (25 - -21)?
21
What is 93 - 76 - 4 - 39?
-26
Evaluate 0 - (-22 + 3 + 13) - (15 + -75).
66
10 + 0 - (-4 + 85 - 11 - 8)
-52
Calculate (1079 - 1113 - (1 - 19)) + 35.
19
-15 + (13 - (-5 + 7 + 10)) - -43
29
What is (5 - (-28 - -51)) + (-4 - 13)?
-35
Calculate -2943 - -2931 - (-1 + 3 + 4 + -14).
-4
Calculate -2 + 1 + (14 - (12 - (5 + -7))).
-1
-153 + -21 + 83 - -34
-57
Evaluate -8 + 57 + 2 - (-7 - (-12 + -12 + 28)).
62
Calculate -2 - (-3 + 0) - 22 - (38126 - 38070).
-77
Evaluate -29 + 0 - (16 + -48 + (21 - 9) - -9).
-18
Calculate -54 + 3 + 23 + (-34 - -17 - -15).
-30
What is -2 + 45 - -3 - (9766 + -9855)?
135
Evaluate -74 - -157 - ((3 + 0 - 3) + -2 + 9).
76
-36 + (21 - - | {
"pile_set_name": "DM Mathematics"
} |
q - 2*q**2)*(6 + 8*q**2 - 5*q**2 - 4).
-6*q**4 - 4*q**2
Expand (8 - 7 - 2 - 10*f**2)*(-3 + 3 + 2)*(-2 - 1 + 5) + f**2 + 3*f**2 - f**2.
-37*f**2 - 4
Expand (4 - 4 - 1)*(14 - 11*c - 14).
11*c
Expand (h**4 - 28 + 36 + 24)*(-2*h + 0 + 0).
-2*h**5 - 64*h
Expand -2*j**4 - j**4 - 3*j**4 + (-j**3 + j**3 - j**3)*(3*j + 0*j - 2*j) - j**4 - j**4 + 0*j**4.
-9*j**4
Expand (3*c - 3*c + 2*c**4)*(1 + 1 + 0) + c**4 - c**4 - c**4 + 42*c**4 - 22*c**4 - 35*c**4.
-12*c**4
Expand (2 - b - 2)*(-2*b**3 + 2*b**3 - 2*b**3) - 785*b**3 + 12*b**4 + 785*b**3 - 4*b**4 + 3*b**4 + 3*b**4.
16*b**4
Expand (y**2 - 3 + 0 + 2)*(4 + y - 4) + (3 - 3 + 2)*(y**3 + 0 + 0).
3*y**3 - y
Expand (-2*n - 2*n**2 + 2*n)*(2*n + n - 5*n) - 27*n + 2*n**3 + 27*n.
6*n**3
Expand (1 + n - 1)*(-3 + 1 + 1) + (4 - 3 + 1)*(-4*n + 4*n - 2*n).
-5*n
Expand (5 - 5 - m**2)*(3 - 1 - 1) + (0 + 2 - 3)*(16*m - 13*m**2 - 16*m + (-3 - 2*m + 3)*(m + 0 + 0)).
14*m**2
Expand ((-9 + 3 - 3)*(-2*y - 3*y + 6*y) + 3 - 3 + 2*y)*(0 + 0 - y**2).
7*y**3
Expand (5 + 3 - 1)*(3*a - 2*a - 3*a)*(-2*a - 3 + 3).
28*a**2
Expand (1 + 2 - 6)*(1 - l - 1)*(5*l - 8 + 8).
15*l**2
Expand (3 + 0 - 2)*(-v**2 + 4*v**2 - 5*v**2) + 12*v**2 - v**2 + 4*v**2 + 2*v**2 + 3*v**2 - 3*v**2.
15*v**2
Expand n**5 + 0*n**5 + 0*n**5 + (2*n**2 - 2*n + 2*n)*(-3 - 161*n**2 + 2*n**3 + 161*n**2).
5*n**5 - 6*n**2
Expand (7*p - 12*p - 7*p)*(-3*p**2 + 4*p**2 - 2*p**2).
12*p**3
Expand (4*h + 5*h - 3*h)*(-h**3 - 4 + 0*h**3 + 2).
-6*h**4 - 12*h
Expand 3*n**3 - 9*n**4 - 5*n**3 - n**5 + 7*n**4 + (-3*n**3 + 3*n**3 + n**4)*(-n + 2*n - 3*n).
-3*n**5 - 2*n**4 - 2*n**3
Expand -1 - 4*m**2 + 3*m**2 - 3*m**2 + m**2 - m**2 + 3*m**2 + (-1 + 1 + m)*(m - 3*m + m) + 2*m - m**2 - 2*m.
-3*m**2 - 1
Expand (18*m - 2*m - 3*m)*(-2 + 3 + 1).
26*m
Expand (-i + i - 3*i**2)*(1 + 7 + 0)*(5*i - 3*i + 0*i).
-48*i**3
Expand (3*q - 5*q + 0*q)*(-1 - q + 1)*(0 + q + 0)*(-q - q + q).
-2*q**4
Expand (f + 0*f + f)*(-4 - 4 + 2) + (1 + 4 - 4)*(-2*f + 5*f - 2*f).
-11*f
Expand 0*c**3 - 2*c**3 + 0*c**3 + (c**2 + 0 + 0)*(-3*c + 3*c - 2*c) - c**2 - 22*c**3 + c**2.
-26*c**3
Expand -3 + 3 + 2*u + (-3*u + u + u)*(2 + 2 - 3) + (0 + 2*u + 0)*(4 + 1 - 3) + 4*u + u - 4*u.
6*u
Expand (y - 4*y + 5*y)*(-2 + 0 - 2) + y + 2*y + y.
-4*y
Expand (-5 + 1 - 2)*(5*g**2 - 2*g**2 - g**2) + (0*g - 5*g + 4*g)*(0*g + 0*g - 2*g) + g - g + 2*g**2.
-8*g**2
Expand 2*i**3 + i**3 - 4*i**3 + (-6 + 2 + 2)*(5*i**3 - 4*i + 4*i).
-11*i**3
Expand a**3 + 2*a**2 - 2*a**2 + (-29*a - 9*a**2 + 29*a)*(-a + a - 2*a).
19*a**3
Expand (-9*j**4 - 5*j**4 + 5*j**4)*(4*j - 4*j + 3*j) + (-2*j**4 + 2*j**4 + 2*j**4)*(j + 2 - 2) - 3*j**2 + 3*j**2 + 2*j**5.
-23*j**5
Expand (-2 + 1 + 4)*(3*q + 2*q - 4*q) + 2*q - 2*q - 6*q.
-3*q
Expand (-h + 3 - 3)*((2*h - 3*h - h)*(-h**2 + h**2 - h**2) + 3*h - 3*h + 12*h**3).
-14*h**4
Expand 5*r**3 + r**3 - 5*r**3 + (-2*r + 0 + 0)*(-4*r**2 + 4*r**2 + r**2).
-r**3
Expand (-5 - 3 + 6)*(-2*d + 6*d - 2*d).
-4*d
Expand (-o**3 - 2*o**3 - 3*o**3)*(-o + o - 2*o)*(-4 - 2 + 4).
-24*o**4
Expand (-2 + 8 + 18)*(-3 - 1 + 1)*(-5*s**2 + s**2 + 5*s**2).
-72*s**2
Expand -4*a**2 - 2*a + 2*a + (a + 4*a - 3*a)*(-28 - 20*a + 28) + 5*a - 5*a - 2*a**2.
-46*a**2
Expand (2*q + 6 - 7 + 0*q)*(0*q**3 - q**3 + 0*q**3).
-2*q**4 + q**3
Expand (-2*s - 2*s + 2*s)*(-s**3 - 5*s**3 + 5*s**3)*(-1 - 2 + 2 + (4 + 0 - 2)*(3 + 2 - 6) + 0 + 2 + 0).
-2*s**4
Expand (5*q**3 + 2*q**2 + 0*q**2 + 0*q**2)*(-q**2 - q**2 + q**2).
-5*q**5 - 2*q**4
Expand (-3*x + 2*x + 2*x)*(8*x + 12*x - 27*x)*(0 + 2 - 3)*(3 + 2 - 4).
7*x**2
Expand 4*d + 0*d - 10 + 7 + (-1 + 1 + 2*d)*(-3 - 3 + 3).
-2*d - 3
Expand (-x - 3*x**2 + x)*(18 + 16*x - 18).
-48*x**3
Expand i**4 - 2*i**4 + 2*i**4 + (2*i - i - 3*i)*(3*i - 3*i + 2*i**3) - 2 + 2 + i**4.
-2*i**4
Expand -j**3 - 3 + 3 + (2*j**2 - j + j)*(-2*j - 7*j + 4*j).
-11*j**3
Expand (-5*y + 5*y + 2*y**2)*(1 + 7*y - 1).
14*y**3
Expand (-x**3 + 2*x**3 + x**3)*(x**2 + 0 + 0) + 18*x**5 + 9*x**2 - 13*x**2 - 16*x**5 + 1.
4*x**5 - 4*x**2 + 1
Expand 3*r - r - 4*r + 3*r - 2*r - 4*r + (2 - 2 + 2)*(-55*r + 34 - 34).
-115*r
Expand (2 - t**2 - 2)*(-3 + 6 - 4)*(10 - t - 1 - 5) + (2*t - 5*t + t)*(-3*t**2 + 3*t**2 - t**2).
t**3 + 4*t**2
Expand 3*w**2 + 1 - 3 + 0*w**2 + (2*w - 6*w + w)*(5*w - w - w).
-6*w**2 - 2
Expand (-9*s - s + 4*s)*(3*s + s - 6*s) - 4*s**2 - 3*s**2 + 9*s**2.
14*s**2
Expand g**2 - 4*g + 4*g + (3*g + 5*g - 2*g)*(2*g - g + 0*g) + 2*g - 2*g - g**2.
6*g**2
Expand (-3*u**4 + 2*u**4 + 3*u**4)*(-2 + 1 + 8) - 2*u**4 + 5*u**4 - u**4.
16*u**4
Expand (-4*c - c**2 + 4*c)*(-4 + 2 + 4) + 5 + 3*c**2 - 5 + (-5 + 3 + 1)*(-3*c**2 + c**2 + 0*c**2) - 1 + 3*c**2 + 1.
6*c**2
Expand (-1 - 1 + 4 + (3 - 2 - 3)*(0 - 1 + 3) + 3 - 3 + 1)*(2*b - 2*b - 2*b)*(0 + 4 + 6).
20*b
Expand (-5 + 10 + 14)*(4*d + d - 3*d).
38*d
Expand (-29*t - 26*t + 43*t + 3)*(-3*t + 0*t + t).
24*t**2 - 6*t
Expand 2*m**2 - 2*m**2 - m**3 + 0*m**3 + m**3 + 0*m**3 + 3*m**3 + 2*m**3 - 7*m**3 + (-2*m**3 - m**2 + m**2)*(3 - 6 + 1).
2*m**3
Expand (1 + y - 1)*(-65 + 40*y + 65).
40*y**2
Expand (0*f + 2*f + 0*f + (-1 + 0 + 2)*(-f - 4 + 4))*(-7*f**2 - 7 + 7).
-7*f**3
Expand (-2 + 2*w**2 + 2)*(-4*w + 6*w + 0*w) - w + w + w**3.
5*w**3
Expand -c - 2 + 2 - c + 1 - 1 + (-4 + 6 - 1)*(0 + 0 - 2*c) + 9*c - 2*c + 6 - 6*c.
-3*c + 6
Expand (2 + 0 - 3)*(0*b + 4*b - 2*b) - 9 + 9 + 6*b - 2 + 2 - b.
3*b
Expand (2 + f**5 + 107*f**4 - 107*f**4)*(2 + 1 - 2).
f**5 + 2
Expand (7 - 16 - 16)*(-3*z**2 + z**2 + 0*z**2).
50*z**2
Expand w - 2*w - w + (-3 + 3 - w)*(1 - 3 - 2) - w + 6*w - w + (-6 + 2 + 2)*(-w - 4*w + 3*w).
10*w
Expand (1 + 0 - 3)*(0*g - g + 0*g) + 0*g + 4*g - 2*g - g + 2*g - 3*g + 1 - 3*g - 3 + 8.
-g + 6
Expand (4*y**2 - 2*y**2 - y**2)*(6*y**2 + 0*y**2 - 2*y**2)*(-4 - 2 + 4)*(-4*y - y + 4*y).
8*y**5
Expand (4*t**3 - 3*t**3 - 2*t**3 + (4*t**2 + t**2 - 4*t**2)*(-5 - t + 5))*(-5*t**2 + 0*t**2 + 3*t**2).
4*t**5
Expand (-3*l**5 + 0*l**5 + 2*l**5 + (-l**3 - 4*l**3 + 6*l**3)*(-3*l**2 - l**2 + 2*l**2))*(3 + 2 - 7) + l**5 + l**5 - l**5.
7*l**5
Expand -3*z**2 + 0*z**2 + 2*z**2 + (4*z**2 - 7*z**2 + z**2)*(-6 - 5 + 6).
9*z**2
Expand (2*c**2 - c**2 + c**2)*(-2 - 1 + 1 + (-1 - 1 + 3)*(-5 + 1 + 3)).
-6*c**2
Expand (6*w**2 - w**2 + 0*w**2)*(w**2 + 0*w**2 - 2*w**2) + 1 - 2*w**4 - 1.
-7*w**4
Expand (-3*g**4 - g**4 + 5*g**4)*(6*g - 4*g - 11*g).
-9*g**5
Expand (-r**4 - r**2 + 4*r**2 + 2*r**4)*(0 + 3 - 1)*(6*r - r - 4*r).
2*r**5 + 6*r**3
Expand (-3 + l + 3)*(147 - 72 - 70).
5*l
Expand (1 + 3 - 2)*(4*b - 5*b + 4*b) - b + 3*b + 0*b.
8*b
Expand (2*u**3 + 0*u**2 + 0*u**2)*(2*u - 2*u - 2*u)*(0 + 1 + 8).
-36*u**4
Expand 2*x - 3*x + 0*x + (4 - 1 - 1)*(0*x + 0*x + 2*x) - 4*x + 2*x + x + 3*x + 0*x - x - 2*x - 3 + 3 + 0*x + x + 0*x - 8 + 13 + x + 8.
4*x + 13
Expand 6*i**3 - 6*i**3 + 10*i**3 + (-2*i**3 + 4*i**3 - i**3)*(4 - 2 + 0).
12*i**3
Expand (0 - 4 + 2)*(-q**2 + 0 + 0) - 3*q + 5 + 2*q**2 - q**2 - 4.
3*q**2 - 3*q + 1
Expand (-2*o + 2 - 2)*(-7*o**4 - 5*o**4 + 2*o**4).
20*o**5
Expand (-2*h - h - h)*(1 + 1 + 0).
-8*h
Expand (w**2 - 2*w**2 - w**2)*(1 + 2 - 4)*(-12*w**2 + w**2 - 4*w**2)*(1 + 2 - 5).
60*w**4
Expand y + 1 - 1 + (4 + 2 - 4)*(4 + y - 4) - 2*y + 1 - 1 - 28*y + 10*y + 8*y.
-9*y
Expand (-3*a - a + 2*a)*(4*a + 0*a - 6*a) + 4*a**2 + 3*a**2 - 5*a**2 + 2 + 5*a - 2*a + 3*a**2 - 2*a.
9*a**2 + a + 2
Expand -2*y**5 + 2*y**3 - 2*y**3 - 5*y**5 + y**5 + 2*y**5 + (-y**4 - 2*y**4 + 2*y**4)*(-3*y - y + 5*y) + 2*y**3 + 2*y**5 + 2*y**5 - 3*y**5.
-4*y**5 + 2*y**3
Expand (-2*v + 2*v - v)*(-v**2 + v**2 - 5*v**2).
5*v**3
Expand (-4 - 3*m**3 + 4)*((2 + 2 - 5)*(0 + 1 - 2) + 1 + 2 + 1).
-15*m**3
Expand (-w + 6*w - 2*w)*(-1 - 1 + 0).
-6*w
Expand -1 + 1 + 2*s**3 + (623*s**2 - 623*s**2 - 19*s**3)*(-2 - 1 + 1).
40*s**3
Expand (-1 + 0*x**2 + 0 + x**2)*(1 - 1 - 2)*(-3 + 2 + 2).
-2*x**2 + 2
Expand (-4 + 1 + 4)*(-37*n**2 + 16*n**2 - 5*n**2).
-26*n**2
Expand -5*p**2 - 2 - 5*p**2 + 12*p**2 - 2*p**4 + (1 + 2*p**2 - 1)*(-1 + 2*p**2 + 1).
2*p**4 + 2*p**2 - 2
Expand -v**2 + 3*v**2 + 0*v**2 + (-v + 2*v - 2*v)*(-2 - 2*v + 2) - 2*v + 2*v + 3*v**2.
7*v**2
Expand (-255*o**4 + 255*o**4 - 30*o**5)*(-3 + 2 + 0) + 0 + o**3 + 0 - 2*o**5.
28*o**5 + o**3
Expand (12 - 4 - 20 + 4 + 0 - 2 - 1 + 3 - 3 + (3 - 1 + 0)*(0 + 3 - 1))*(2*c**3 - 3*c**3 + 3*c**3).
-14*c**3
Expand (2*v - 1 + 1)*(-4*v - 10*v + 32*v).
36*v**2
Expand 3*v - 6*v + 2*v + (5*v + 0*v - 4*v)*(-1 - 2 + 1) + 2*v - 2*v + v - 4 + v + 4 + (v - | {
"pile_set_name": "DM Mathematics"
} |
**2 + 2*l + 2. Let g(p) = -p**2 - p + 2. Let v be g(-3). Is 5 a factor of x(v)?
True
Suppose 17*j = 12*j. Does 2 divide j/1*1 - -2?
True
Let i = -42 - -24. Let v = i - -33. Is 9 a factor of v?
False
Suppose -2*p = -6*p. Suppose 2*w + 6 = p, 3 = -5*i - 4*w + 1. Let u(t) = 3*t**2 + 2*t - 2. Does 7 divide u(i)?
True
Suppose -10*q = -14*q - 252. Let k be -1*(-104 + (-4)/2). Let d = q + k. Is d a multiple of 13?
False
Let r be (69/12)/((-1)/(-4)). Is (-1)/(-1) - (-6 - r) a multiple of 15?
True
Let u = 96 + -42. Is 12 a factor of u?
False
Let q = 3 - 1. Let f be -2*q/4*-43. Let r = f + -18. Does 15 divide r?
False
Let c(o) = -o**2 + 11*o + 1. Let l(d) = -d**3 - 5*d**2 - 6*d - 6. Let w be l(-4). Suppose -w*n + 6 = -n. Does 17 divide c(n)?
False
Let o(d) = 9*d + 2. Is o(6) a multiple of 16?
False
Let q(h) = h - 3. Let k be q(-13). Let c = k + 22. Is c a multiple of 4?
False
Let h be ((-69)/(-12))/((-2)/(-8)). Let l = h + -13. Is 10 a factor of l?
True
Let n(g) be the first derivative of -3*g**4/4 + g**2 + g - 1. Let q be n(-1). Suppose 0 = 5*o - 4*z - 60, 20 = 5*o + q*z + 2*z. Is 3 a factor of o?
False
Let k(u) = -u**2 - 5*u + 5. Let n be k(-5). Suppose -3*b + n*i = i - 287, 2*b - 196 = 5*i. Is b a multiple of 31?
True
Let h(m) = -m**3 + 7*m**2 + 12*m - 7. Let d(a) = a**2 + 6*a - 8. Let v be d(-8). Is h(v) a multiple of 15?
False
Suppose 1 - 2 = -h. Is 10/(-6)*(-2 - h) even?
False
Suppose w + 3 = 3*a, -3*w + 18 = 3*a + 3. Suppose 0 = -3*h - 5*s + 101, 2*h - a*s = 14 + 32. Is 9 a factor of h?
True
Suppose -64 = 2*l - 4*l. Suppose l = 3*b - 2*b - m, -2*m + 56 = 2*b. Is b a multiple of 10?
True
Suppose 2 = -2*n + 8. Suppose -2*t + u + 109 = 0, -20 = n*u + u. Is 28 a factor of t?
False
Let g(o) = -3*o - 2. Let c be g(-2). Suppose 3*x = -c*k + 57, -3*k + 6*k + 4*x - 48 = 0. Is 12 a factor of k?
True
Suppose 5*t + 865 = 10*t. Does 14 divide t?
False
Let d(a) = -9*a - 4. Let m(s) = -1. Let c(x) = -2*d(x) + 10*m(x). Does 17 divide c(2)?
True
Let q = 0 + 14. Does 12 divide q/(-21) + (-41)/(-3)?
False
Suppose -q - y + 12 = -67, 4*y = q - 54. Suppose -2*d = 2*d + 2*r - 142, -3*d + 5*r + q = 0. Is d a multiple of 16?
False
Suppose -4*m - m = -245. Is 18 a factor of m?
False
Let a(p) = -5*p - 2 + 3 - p. Let t = 2 + -4. Is a(t) a multiple of 13?
True
Let h be (-6)/9 - 400/(-6). Let i = h - 32. Is 14 a factor of i?
False
Suppose 160 = -0*g + 4*g. Suppose 4*m + 37 = -51. Let k = g + m. Is k a multiple of 8?
False
Suppose -2*c = 4*x - 14, 4*x + 0 = -4*c + 8. Let m = c + 8. Suppose -3*q = -m*y + 51, 42 = 4*y - q - 2*q. Is 9 a factor of y?
True
Suppose 5*p - 15 = -2*m, -m - 11 - 19 = -5*p. Suppose -4*q + 0*q = 0. Let d = p + q. Is 3 a factor of d?
False
Let m = -14 + 25. Let k(w) = -9*w + 5. Let y(r) = 3*r - 2. Let h(f) = m*y(f) + 4*k(f). Is 16 a factor of h(-6)?
True
Suppose 5*s - 5*k - 17 = 18, 0 = 2*s + k - 20. Suppose -4*o = -5*o + s. Is o a multiple of 4?
False
Let j(p) be the first derivative of p**3/3 - 7*p**2/2 + 5*p - 1. Is 5 a factor of j(7)?
True
Let w = 23 + 3. Is w a multiple of 26?
True
Let t(f) = -2*f + 10. Let i = -29 - -21. Is t(i) a multiple of 5?
False
Let b(o) = o**3 + 3*o**2 - 4*o - 3. Let g(f) = f**3 - 7*f**2 - 9*f + 6. Let d be g(8). Is 9 a factor of b(d)?
True
Suppose 3*d = -2*d + 20. Suppose 0 = t + f - 5, d*f = 5*t - 3*t + 8. Suppose t*y = 9 + 5. Is 7 a factor of y?
True
Let a(h) = -36*h - 4. Is 28 a factor of a(-4)?
True
Let r be (-4)/6 + (-4)/(-6). Is 10 a factor of -1*(-19 - r)*1?
False
Let m be (-1295)/77 + 2/(-11). Let x(j) = j**2 + 2*j - 3. Let d be x(-3). Is 12 a factor of -2 - (m - (0 + d))?
False
Let s = 8 - 5. Is -3 - s/(9/(-21)) a multiple of 2?
True
Let z(p) be the third derivative of p**7/2520 + p**6/120 + p**5/24 - p**4/8 - p**2. Let m(c) be the second derivative of z(c). Is 2 a factor of m(-6)?
False
Let p(i) = 2*i**2 + 31*i + 23. Does 29 divide p(-20)?
True
Suppose -a = a. Does 7 divide 3/(a + (-3)/(-18))?
False
Suppose 0*w - 4*u + 219 = 5*w, -90 = -2*w - u. Suppose 0 = -p + v - 4 + w, 3*p = -v + 121. Suppose g - p = -g + c, 4*g - 85 = 5*c. Is 10 a factor of g?
True
Suppose -4*k + 36 = -0*k. Is 23 a factor of 12/k*2*9?
False
Suppose 4*m + 4*u - 1 + 21 = 0, 0 = 5*m + 4*u + 23. Does 11 divide (2 - -1)*(-23)/m?
False
Suppose 12*a + 0*a - 240 = 0. Is a a multiple of 4?
True
Let d be (3 - 2)/((-1)/(-19)). Suppose 0*v + 5*l = -v - d, 0 = -2*v + 5*l + 22. Suppose 4*h - 47 = 5*y, 2*h - 5*y + v = 32. Is h a multiple of 8?
True
Let l(z) = z - 2*z - 5 - 2. Let h be l(-6). Is -7*(h - -3)/(-2) a multiple of 7?
True
Let k(s) = -s**3 - 11*s**2 - 10*s + 7. Does 3 divide k(-10)?
False
Let x(m) = -3*m - 1. Does 4 divide x(-5)?
False
Let j(p) = -2 + 2*p - 2*p + 0*p - 5*p. Is j(-4) a multiple of 18?
True
Suppose 2*v = -2*s - 2, -s + 3*v = 5 - 20. Is s a multiple of 2?
False
Suppose 3*z = 2*d + 2, 0*z - 4*z - 4*d = 4. Suppose z = -q - 4*q + 10. Is q a multiple of 2?
True
Let y = -158 + 354. Let w = 280 - y. Is w a multiple of 21?
True
Let t be (-4)/10 + (-28)/5. Let x(y) = -y**3 - 5*y**2 + 5*y + 7. Let l be x(t). Let p = l + -9. Does 3 divide p?
False
Suppose 3*n - 3 = -9. Let c = 23 + n. Does 7 divide c?
True
Let g(w) = -w**3 + w**2 - w - 2. Let o be g(0). Let a(d) = 7*d**2. Is 14 a factor of a(o)?
True
Let k(m) = m**2 + 3*m. Let i be k(6). Let x = i - 33. Is x a multiple of 13?
False
Let f be 2*2 - (-1 + -1). Let w = 0 + f. Suppose r - 5*p = -10, r = 2*p - 1 + w. Does 10 divide r?
False
Let c = 5 - 1. Let r(f) = -f**3 + 3*f**2 + 4*f + 2. Let w be r(c). Suppose -p = -2*i + 5*i + 12, 1 = -3*p - w*i. Is p a multiple of 2?
False
Let z(h) = h + 7 + 0*h + 0*h + 0. Is z(5) a multiple of 3?
True
Let h be (-3)/6 + (-141)/(-6). Let l = h + 40. Is 21 a factor of l?
True
Let s(p) = p - 3. Let r be s(7). Suppose 0 = n - r*f - 16, 5*f = -5 - 15. Is 0 + n + (12 - 0) a multiple of 6?
True
Suppose 0 = -2*l + 79 + 69. Let x(d) = -2*d**3 - 4*d**2 - 2*d - 3. Let j be x(-3). Suppose 4*t + 3*i - j - l = 0, -5*i - 15 = 0. Is t a multiple of 13?
True
Let s(n) = -3*n**2 - 3*n - 1. Let m be s(-3). Let l = m - -10. Does 16 divide (3/(-1))/(l/96)?
True
Suppose -3*s - q + 217 = 0, -3*s - q + 215 = q. Does 14 divide s?
False
Let y(s) = 108*s - 1. Let f be y(-2). Let x be f - (2 - (2 - 3)). Is x/(-16) - 2/(-8) a multiple of 5?
False
Is (-3)/3*(-18 - -4) a multiple of 14?
True
Suppose 0 = -12*i + 3*i + 333. Does 20 divide i?
False
Does 9 divide 26 + (-3 + 4)*-2?
False
Let t be (10/6)/((-1)/(-3)). Suppose 15 = -u - 3*a, -4*a - 7 = -t*u + 2*u. Is 4 a factor of 1/u - 26/(-6)?
True
Let a be (-3 - -5) + 75 + -1. Let q be 1/(a/(-74) + 1). Let k = 61 + q. Is k a multiple of 12?
True
Let u(m) = 3*m**2 + 4*m - 12*m + 5 - 4*m**2. Let i be u(-8). Suppose -5*r + 50 = i*q, 0 = 5*r - 4*q - 26 - 42. Does 6 divide r?
True
Let z(q) = 52*q - 3. Let c be z(3). Let a = c - 66. Suppose -2*p + a - 19 = -4*l, -p = -3*l - 36. Does 15 divide p?
True
Suppose -d - 11 = -2*n, 2*n + 3*d - 33 = -3*n. Suppose -3*k = -n - 6. Suppose 6*f - b = f + 104, -3*b = k*f - 68. Is f a multiple of 14?
False
Let i(g) = g - 2. Let k be i(2). Suppose k = -0*s + 2*s - 36. Suppose -4*h = -6 - s. Is h a multiple of 3?
True
Let r(t) = 4*t - 12. Let x be r(4). Is 16 a factor of (-49 + 1)/(-4) + x?
True
Suppose -3*i = 2*w + 214, 3*w = -i + 5*i + 308. Let h = i + 103. Is h a multiple of 9?
False
Let x = 0 - 0. Suppose -j = -x*j. Suppose 2*n = -j*n + 52. Is n a multiple of 13?
True
Suppose -y = 2*r + y - 38, -r = -4*y - 9. Is r a multiple of 13?
False
Let o be 4/3*(-690)/(-20). Suppose -z + o = -9. Is 11 a factor of z?
True
Let v(u) = -u**3 - 2*u**2 + 7*u + 10. Is 14 a factor of v(-4)?
True
Let v(w) = w + 11. Let f be v(-10). Let x = 80 + f. Does 27 divide x?
True
Let a = -104 + 120. Does 2 divide a?
True
Let t = 13 - -19. Let j = 27 + t. Is 19 a factor of j?
False
Suppose 6*j - 3*j = 5*n + 210, -5*n + 50 = j. Does 5 divide j?
True
Suppose -3*k = 2*k + i - 14, -4*k + 3*i = 4. Suppose 3*q - 2*b - 549 = 0, 4*q = -k*b + 279 + 467. Suppose -5*o - 60 = -q. Does 14 divide o?
False
Let p = 33 + -20. Is 4 a factor of p?
False
Let c = 6 - 4. Suppose -5*x - g = -16, -x + c*g = g - 2. Suppose -132 = -b - x*b. Does 14 divide b?
False
Let q = 181 + -108. Let o = q + -46. Does 9 divide o?
True
Suppose -4*a = -24 - 24. Suppose -2 + a = 2*l. | {
"pile_set_name": "DM Mathematics"
} |
) - 2*y**3 + 3*y**3 + 5*y**3 + (-2*y**2 + y - y)*(-1 + y + 1).
22*y**3
Expand (-2*x + 0 + 0)*(3*x - 3*x - x) - 1 - 46450*x**2 + 70521*x**2 - 6 + 7.
24073*x**2
Expand (6 - 190*i - 22 + 7 + 8 + 1)*(10 + 22 + 0).
-6080*i
Expand (55*h - 90*h + 38*h + 0 - 2*h + 0 + (-2 - 1 + 2)*(4*h - 3*h + h))*(2*h + 2*h - 3*h).
-h**2
Expand (2*w - 3*w - 2*w)*(3 - 5 + 4) - 1 + w + 1 + (-3 + 0 + 2)*(-9*w - 26 + 26).
4*w
Expand (-40557 - 51945 + 191404 - 65607)*(2*y**2 + 2*y**2 + 2*y + 1 - 2*y**2).
66590*y**2 + 66590*y + 33295
Expand 19*j**5 + j**2 + j**2 + 27*j**4 - 21*j**4 + (-2*j**5 + 4*j**2 - 4*j**2)*(3 + 0 + 2) - 3*j**4 + 2*j**5 - 3*j**5 + 0*j**5.
8*j**5 + 3*j**4 + 2*j**2
Expand ((28 + 3 - 7)*(4*z - 3*z - 2*z) + 8*z - z + 9*z)*(10*z**3 + z - z) + (3*z - 4*z + 3*z)*(z**3 + 5*z**3 - 5*z**3).
-78*z**4
Expand (-4*f + f + 4*f)*(0*f - 2*f + f) - 9 + 5743*f**2 - 2056*f**2 - 3 + 12.
3686*f**2
Expand 110*q**4 - 51*q**4 + 875*q**4 + (2 - 2 - q)*(-q**2 + 2*q**3 + q**2) - 2*q**4 + 4*q**4 - 3*q**4.
931*q**4
Expand (-g**2 + 2*g**2 - 3*g**2 + (-4*g - g + 4*g)*(2*g + 3*g - 4*g) - 3*g**2 + 2 - 2 + 4*g**2 - 3*g**2 - 3*g - 2*g**2)*(2 + 0 + 4).
-42*g**2 - 18*g
Expand (-4*g**3 + 6*g**3 - g**3)*(20*g**2 - g - 231*g**2 + 35*g**2).
-176*g**5 - g**4
Expand (0*n - n + 2*n)*(-8 - 21 + 0) + (3 + 1 - 3)*(-n + 0*n - n) - 33*n - 18*n + 9*n.
-73*n
Expand (2*r**4 - 2*r**4 + 2*r**4)*(-23*r - 19*r + 19*r + 15*r + 43).
-16*r**5 + 86*r**4
Expand 0*r**4 - 2*r**4 + r**4 + ((3*r - r - r)*(-3*r + 0*r + 4*r) - 3*r**2 - 7*r**2 + 0*r**2)*(r - r - r)*(-6*r - 43 + 43) + 4*r**3 - 4*r**3 - r**4.
-56*r**4
Expand (5 - k**2 - 5)*(-250*k - 1 + 1011*k + 424*k).
-1185*k**3 + k**2
Expand 3*u**4 - u**4 - 4*u**4 + (u**3 + 2 - 2)*(-2 + 2*u + 2) - 1 - u**4 + 1 - 3*u**4 - 3*u + 12*u + 78*u**3 - 82*u**3.
-4*u**4 - 4*u**3 + 9*u
Expand (3 + 0 - 5)*(1296 - 21*h - 1296) + 0*h + 0*h - h + (-h + 6*h - 3*h)*(2 - 2 - 2).
37*h
Expand (0*f - f + 0*f)*(-4 + 1 + 2) + 279 + 97 + f + 180 + 284.
2*f + 840
Expand (-1 + 16 + 12)*(2*k + 0*k + k)*(0*k - k + 3*k)*(-7 - 3 + 4)*(4 - 4 + 2*k).
-1944*k**3
Expand (1 - 1 - 2*a**4)*(-4 + 2 - 4)*(7 + 24 - 50)*(-4*a + 4*a + 4*a).
-912*a**5
Expand (-6*d - 4*d + 2*d)*(0*d + 0*d - 2*d) + (-2 + 3 + 0)*(85 - 3*d**2 - 89 + 28*d**2).
41*d**2 - 4
Expand (h**3 - h**3 - h**3)*(0 + 0 + 2*h**2) + 671 - 671 + 75*h**5 - 310*h**5 - 94*h + 94*h.
-237*h**5
Expand (-112 - 1275*r + 2542*r - 1260*r)*(15*r**4 + 0*r**4 - r**4).
98*r**5 - 1568*r**4
Expand (0 + 0 - 2*y)*(14 - 8 - 17 - 36*y - 18*y).
108*y**2 + 22*y
Expand (-45*m - 6*m**2 + 22*m + 20*m)*(83*m + 0*m - 11*m).
-432*m**3 - 216*m**2
Expand -2*f**2 + f**2 + 4*f**2 + (-13*f + 3*f + 3*f)*(168 - 19*f - 168).
136*f**2
Expand (-11805 + 0*z + 6*z**2 + 11822 + z)*(2*z - 3*z - z)*(4 - 4 - 2).
24*z**3 + 4*z**2 + 68*z
Expand -6*j**2 + 2*j**3 + 6*j**2 - 2*j - 2 + (2 + 2*j - 2)*(-1 + 1 + j**2) + (j**3 - 2*j**3 + 3*j**3)*(2 + 4 - 3) + j**3 + 0*j**3 - 2*j**3.
9*j**3 - 2*j - 2
Expand -17*d**3 - 835 + 835 - 2*d**3 + 2*d**3 - d**3 + (d**2 + 0*d**2 - 3*d**2)*(2*d + d - d) - 4 - d**3 + 4.
-23*d**3
Expand -50*p**2 - 6 + 34*p**2 + 24*p**2 + 2*p**2 - p**2 - 3*p**2 + (-p - 2 + 2)*(0*p + 3*p - 2*p) + 2*p**2 - 2*p**2 - p**2 - 3*p**2 + 7*p**2 - 3*p**2.
5*p**2 - 6
Expand (2*o - o - 1 + 3)*(22 - 2 - 8)*(-249 + 80 + 118).
-612*o - 1224
Expand (-731 - 737 + 20*q**2 + 1462 - q**3)*(-7 + 7 - q).
q**4 - 20*q**3 + 6*q
Expand (1 + 0 + 0)*(3*g**3 - g**3 - g**3) - 5135*g + 3764*g**3 + 10382*g - 5247*g.
3765*g**3
Expand ((6*o - 6 + 6)*(-3 + 1 + 1) + (-5 + 5 - 2*o)*(0 - 4 + 3) - 2*o + 0*o + o)*(-9 + 9 - 9*o).
45*o**2
Expand (15 + 8*g**3 - 15)*(g - 1 + 1) + 5*g**4 - 3*g**4 - 3*g**4 + (-3*g**2 + 3*g**2 - 2*g**2)*(13*g**2 - 10*g**2 - 7*g**2).
15*g**4
Expand (0 - 3 + 5)*(8322 + 2244*b + 7601 - 2243*b).
2*b + 31846
Expand (3 - 3 + 3)*((w**4 - w**4 + w**4)*(w - 3*w + w) + 3*w**5 - 3*w**5 + 2*w**5) + 11*w**4 - 11*w**4 - 2*w**5 - 6*w.
w**5 - 6*w
Expand (875 - 1433 + 2275)*(2*b**2 - b**2 - 3*b**2).
-3434*b**2
Expand -44*j**4 + 799*j - 799*j + 7*j**4 - 4*j**4 - 4*j**4 + (4 - j - 4)*(-2*j**3 + 8*j**3 + 8*j**3).
-59*j**4
Expand (-11*y - 1 + 13*y - 21*y)*((2 + 2*y**3 - 2)*(-y - 4*y + 2*y) + 55*y**3 + 9*y**4 - 55*y**3).
-57*y**5 - 3*y**4
Expand (21*q + 56*q - 9*q)*(-2*q**2 + 3*q - 3*q) + 0*q**3 + 2*q**3 - 4*q**3 + 2*q + 2*q**3 - 2*q + (-q**2 - 3*q**2 + 2*q**2)*(1 + 3 - 2)*(4 - 4 - q).
-132*q**3
Expand (14711*s - 7360*s - 611 - 7353*s)*((-3 + 5 - 4)*(-2*s**2 + s**2 - s**2) - s + s - 2*s**2).
-4*s**3 - 1222*s**2
Expand -24 + 24 - 7*m + (-1 - 2 + 4)*(3 - 3 - m) + m + 0*m + m + 59 - 99*m - 59.
-105*m
Expand (2*u - 1 + 1)*(-3 - 25 - 4) + (8 + 7 - 4)*(5*u - 1 + 1).
-9*u
Expand (-7678 - 1288 + 4143)*(-u**3 + 2*u**3 + 3*u**3 + 2*u).
-19292*u**3 - 9646*u
Expand -19 - 24*y**2 + 19 - 5*y**2 + 3*y**2 + y**2 + (-11*y - 24 + 24)*(-3*y + 3*y + y) + (-4*y + 0*y + 5*y)*(-3*y + 0*y + 4*y).
-35*y**2
Expand (2*w**4 + 0*w**4 + 5*w**4)*(172 - 309 - 303).
-3080*w**4
Expand -97*h**5 - 46*h**5 + 22*h**5 + (-2 + 4 - 5)*(2*h**5 - 3*h**5 - h**5).
-115*h**5
Expand 0*o**2 + 0*o**2 - 3*o**3 + (4*o - 4*o + 2*o**2)*(-4*o + 5*o + 0*o) + (2*o**2 + 0*o**2 - 3*o**2)*(-8*o - 477 + 477).
7*o**3
Expand -5*r - 2*r + 5*r + (-24 - 14 + 12)*(4*r - 2*r + 0*r).
-54*r
Expand (0*p + 0*p + p**2)*(917*p**2 - 1824*p**2 + 915*p**2).
8*p**4
Expand (-5 - 5 + 1)*(-v + 3*v - v) - 3*v - 7*v + 4*v.
-15*v
Expand 3 - 105*c + 0 + 119*c + 2 - 2 + c + (-3 + 3 + 3*c)*(-1 + 7 + 0) - c + c - c.
32*c + 3
Expand (8 + 10 - 2 + 4 - 4 - 1 + (2 - 5 + 1)*(2 - 6 + 3) - 3 + 1 - 1)*(14*b**2 + 16 - 16).
196*b**2
Expand (7 + 3*w**5 + 4 - w**5)*(3 - 3 - 2)*(8 - 4 + 7)*(-4 + 10 + 5).
-484*w**5 - 2662
Expand (7*d**2 - 37*d + 37*d)*(3*d + d - d) + 152*d**3 - 134*d**3 + 281*d**3.
320*d**3
Expand (-129 - 49*j**2 + 129)*(-202*j - 27*j + 570*j).
-16709*j**3
Expand 0*b**2 + 0*b**2 - b**5 + (15*b**3 + 4*b**4 - 15*b**3)*(3*b - b - b) - 4*b**3 + 4*b**3 + b**5 + (-13*b**4 + 7*b**4 + 12*b**4)*(4*b - 5*b - b).
-8*b**5
Expand (-1520 + 800 + 924)*(-2 + 3*z**2 + 1 - 5*z**2 - 4*z).
-408*z**2 - 816*z - 204
Expand (19 - 55320*j + 55312*j - 6)*(3*j**4 - 3*j**4 - 3*j**4).
24*j**5 - 39*j**4
Expand (-8*t + 73*t + 61*t)*(-11*t - 31*t + 54*t).
1512*t**2
Expand (-2*n + 2*n - n)*(-38312 - 33893 + 60161).
12044*n
Expand (3*f - 4*f - 5*f)*(1836 - 3918 + 1970).
672*f
Expand (32*i - 52*i - 5*i)*(124*i + 3 + 219*i + 139*i + 71*i - 3).
-13825*i**2
Expand (0*x + 2*x - 3*x + 3 - 3 + 2*x + 0*x + 0*x + 2*x + (-2 + 2 - 2)*(x - 5*x + 3*x) + x + x - 3*x + 11*x + 5*x - 3*x + 2*x)*(1 + 1 + 0).
38*x
Expand (-2 + 4 + 6)*(-40 + 32 - 18)*(-l**2 - 5*l**2 + 4*l**2).
416*l**2
Expand (6*r**3 + 120*r**3 + 7*r**3)*(-7*r**2 + r**2 + r**2)*(1 + 1 + 3).
-3325*r**5
Expand (c + 0*c - 2*c)*(-c - 4*c + 3*c) + (1 - 7 + 8)*(3 - 4*c - 3)*(13*c + 8 - 8).
-102*c**2
Expand (4*m - 4*m + 2*m)*((3 + 2 - 4)*(-m + 0 + 0) + 12*m + 103*m - 21*m)*(3*m**3 - m**3 + m**3).
558*m**5
Expand 2483 - 4*s + 5*s - 94 + 5*s - s - 2*s + (-2*s - s + s)*(0 + 0 - 2).
7*s + 2389
Expand (0 - 2 - 1)*(-2 - 1 + 1)*(-2*x + 2*x - 2*x**2)*(325*x - 17 + 17).
-3900*x**3
Expand (2 + 9*y + 25*y - 11*y)*(-3 + 3*y + 2*y - 2*y) + 87 + 2*y**2 - 87.
71*y**2 - 63*y - 6
Expand -2*a**2 + a**2 + 2*a**2 + 4*a + a**2 - 4*a**2 - 5*a + (2 + 3 - 3)*(31*a**2 - a**2 - 16*a**2).
26*a**2 - a
Expand (-2876 + 425 - 130 - 876)*(d**3 + 0*d**3 - 3*d**3).
6914*d**3
Expand (-p**3 + 0*p**3 + 2*p**3)*(100737 - 100737 + 259*p).
259*p**4
Expand (-4 + 5 + 4)*(-3*a**3 - 2*a**3 + 2*a**3) + 109 - 5 - 106 + 2*a**2 + 8*a**3 - a.
-7*a**3 + 2*a**2 - a - 2
Expand (-11*h - h + 4*h)*(54*h**2 - 143*h**2 - 17*h**2).
848*h**3
Expand (-228*v**2 - 8881 + 8881)*(-2*v + v - 3*v).
912*v**3
Expand (5*r**3 - 12*r**3 + 5*r**3 + (0*r**2 + 3*r**2 + 0*r**2)*(-2 - 3*r + 2) + 0 + 0 + 2*r**3)*(2*r + 3 - 3).
-18*r**4
Expand -4569*o**3 - 5379*o**3 + 13874*o**3 + (-3 + 5 - 1)*(5*o**3 - o**3 - 5*o**3) - 1 + 1 + o**3.
3926*o**3
Expand -2*a + 2*a + a + (-7 + 19 - 14)*(-161 - 609*a + 77 + 85).
1219*a - 2
Expand (-23*c + 6*c + 24*c + 29)*(-7*c + 4 - 8 + 2).
-49*c**2 - 217*c - 58
Expand (-96 - 774 + 195)*(4*j**5 - 2*j**5 - 3*j**5) - 5*j**2 - 2*j**5 + 5*j**2 + (2*j**2 - 2*j**2 - 2*j**4)*(-1 + j + 1) + j**4 - j**4 + 2*j**5.
673*j**5
Expand 0 + j**2 + 0 + (-1028 - 1380 - 1761)*(1 - 1 - j)*(-4*j - 3*j + 5*j).
-8337*j**2
Expand (-4*s**3 + 2*s**3 + s**3)*(10 | {
"pile_set_name": "DM Mathematics"
} |
rs of r/(-3 - -5) - -75.
2, 37
Suppose 4*i - 11155 = 5*o, -4*i = 4*o - 1273 - 9891. What are the prime factors of i?
2, 3, 5, 31
Let c = -12 - 3. Suppose 4*d - 40 = 3*d. Let j = d + c. What are the prime factors of j?
5
Suppose 3*o = 4*o - 9. Suppose o = -2*z - 4*k + 29, 3*z + 2*k - 14 = 0. Suppose 5*l - 33 = -2*b, -2*l + 11 + 7 = z*b. List the prime factors of l.
5
Suppose -l = 4*l - 2105. What are the prime factors of l?
421
Suppose -9*z + 9699 = -12342. List the prime factors of z.
31, 79
Let c = -29 - -20. Let z be 1*c/(-3) - 1. Suppose 0 = -4*y + 5*l - 8, 0*l = z*y - 2*l + 2. List the prime factors of y.
3
Suppose 197 = 5*q - 5203. List the prime factors of q.
2, 3, 5
Let x(u) = 2*u**2 + 12*u + 128. What are the prime factors of x(-7)?
2, 71
Suppose 653*v - 82422 = 635*v. What are the prime factors of v?
19, 241
Let h = 2206 - 499. List the prime factors of h.
3, 569
Let m(g) = g**3 + 6*g**2 - 3*g + 5. Let o(d) = d**3 + 6*d**2 - 3*d + 4. Let w(t) = 3*m(t) - 2*o(t). What are the prime factors of w(-6)?
5
Suppose 4*p + a + a = -16, p + 4*a = -4. Let v be 2/(4/((-688)/p)). Suppose -w = -2*d + v, -3*d - 3*w + w = -122. What are the prime factors of d?
2, 3, 7
Suppose -4*t + 5*x = -2*t - 549, 5*t - 1413 = -x. Suppose 0 = -3*f + 4*h + 257, -4*f + 4*h + 58 = -t. List the prime factors of f.
83
Let g(i) = i**2 - i + 363. Let q be g(0). Let k = 252 - q. Let v = k + 162. What are the prime factors of v?
3, 17
Let z = 18 - -634. List the prime factors of z.
2, 163
Let j = -400 - -1573. What are the prime factors of j?
3, 17, 23
Let p = 6 - 7. What are the prime factors of (0 + (p - -4))*178/3?
2, 89
Suppose -12*q - 134 = 502. Let z = 98 + q. List the prime factors of z.
3, 5
Let z be (-65)/(-2) + (-1)/2. Suppose 3*h - 2*l = -15 + 94, -h - 5*l = -z. List the prime factors of h.
3
Suppose 0 = 2*c - 4*f - 228, -5*c - 5*f + 241 + 254 = 0. Suppose -5*p = -4*b - 2 + 137, -3*b + p = -c. List the prime factors of b.
5, 7
Suppose -915 = 5*d - 5725. Let y(v) = -2*v + 29. Let j be y(-5). List the prime factors of (-2)/(-6) + d/j.
5
Let x(n) = -8 + 0 - 16*n + 11 + 0. List the prime factors of x(-10).
163
Let f(i) = i**3 + 12*i**2 - 15*i - 21. List the prime factors of f(-9).
3, 7, 17
Suppose -3*g - 2*g + 2035 = -x, 2*g - 836 = -4*x. Suppose b - g = -2*i, 20 = i - 4*b - 193. What are the prime factors of i?
5, 41
List the prime factors of 5019/4 + 87/348.
5, 251
Let v(f) = f**2 + 5*f - 18. Let k be v(7). List the prime factors of 5/(15/k) - 3.
19
What are the prime factors of 953 + -2*5/5 + 3?
2, 3, 53
Suppose 4*w + 6 + 2 = 0. Let b(h) = 41*h - 7. Let v be b(1). Let q = v - w. What are the prime factors of q?
2, 3
Let j(h) = -63*h**3 - 6*h**2 - h + 4. List the prime factors of j(-2).
2, 3
Suppose 2*c - 12 = 4*u, 2*u - 2*c + 5*c = -22. What are the prime factors of 60 + (10/u - -5)?
3, 7
Let z(g) = -g**2 + 5*g - 4. Let w be z(6). Let o be (-2)/w + (-133)/(-35). Suppose d + o = 16. What are the prime factors of d?
2, 3
Suppose -5*s + o = -407, -4*s - 68 + 394 = -o. List the prime factors of s.
3
List the prime factors of 21759/13 - 21/(-91).
2, 3, 31
Let g = 19 + -16. Suppose s - 4*j = 0, -g*s + 4*s + 4*j = 8. Suppose r = -s*y + 112, 0*y + 4*r - 70 = -2*y. What are the prime factors of y?
3
Suppose 5*k - 37 = 3*n, 0 = -3*n - 17 + 5. Suppose -3*p - 11 = -5*c, -4*c + 2 = k*p - 29. Suppose 15 = 5*d - 0*d, -3*x = c*d - 63. List the prime factors of x.
17
Suppose -2*l - 2*l + 1581 = 5*v, -4*l + 2*v = -1546. Suppose 6*n = l - 125. What are the prime factors of n?
2, 11
Let f = 11 - 9. Suppose 3*k + 145 = -f*k. What are the prime factors of -1 - 1 - (-14 + k)?
41
Let k be (-1)/((-22)/(-7) + -3). Let d(g) = -2*g - 2. Let x be d(k). Let m = -10 + x. What are the prime factors of m?
2
Let j = 10 - 8. Suppose 4*r - 4*z - 8 = 0, -j*r + 5*z = -0*r + 5. Let i = r - -5. What are the prime factors of i?
2, 5
Suppose -3878 + 1148 = -91*b. List the prime factors of b.
2, 3, 5
Let i(v) = -v**2 - 8*v + 199. What are the prime factors of i(0)?
199
What are the prime factors of (-1987)/(-9) - 2*(-5)/45?
13, 17
Let m = -371 - -461. List the prime factors of m.
2, 3, 5
Let s(y) = -y + 11. Let i be (-51)/(-15) + (-6)/15. Let l be 1 + (i - 6) - -2. What are the prime factors of s(l)?
11
Suppose 16 = 4*c - 6*c. Let p = c - -8. Suppose 6*u + p = 12. What are the prime factors of u?
2
Let s(r) = -r**2 - 8*r - 16. Let z be s(-5). What are the prime factors of z + 2/(4/382)?
2, 5, 19
Suppose 4*h = 3*h + 75. What are the prime factors of 2/(-5) + -543*(-10)/h?
2, 3
Let u(j) = -25*j**3 - j**2 - j. Let y be u(-1). Suppose 2*d + 3*d = -y. What are the prime factors of (-1)/d - 34/(-5)?
7
Let n(b) = 89*b + 185. List the prime factors of n(27).
2, 647
Let d = 3045 + -828. List the prime factors of d.
3, 739
Suppose 78*c = 72*c + 216. What are the prime factors of c?
2, 3
Let n be 1*17 + (-3)/(-1). Suppose -p = 4*m - 1 + 21, -4*m = n. Suppose 2*h + p*h - 4*c = 52, 0 = -4*c. What are the prime factors of h?
2, 13
Let z(f) = -79*f**2 + 106*f**2 - 2*f + 2 + 0. Let o be z(2). Suppose 5*a = o - 6. List the prime factors of a.
2, 5
Let x be ((-266)/4)/((6/4)/(-3)). Suppose x + 159 = 2*z. List the prime factors of z.
2, 73
Let d = -13 + 13. Let s(g) = g + 2. Let a be s(d). Suppose 3*q - 16 = a*q. What are the prime factors of q?
2
Let r(x) = -66*x + 49. What are the prime factors of r(-5)?
379
Let g(d) = 1753*d**2 + 7*d - 4. List the prime factors of g(1).
2, 439
Let g = 17 - -18. Suppose 0 = m - 0*m - g. List the prime factors of m.
5, 7
Suppose 3*g - 20 = -2*g. Let w = -9 + 85. Suppose 0 = l + u - 5*u - w, -g*l + 304 = -u. List the prime factors of l.
2, 19
Suppose -95*r = -92*r + 3. What are the prime factors of (0 - r)*118*2?
2, 59
What are the prime factors of 1 + 3 + (1345 - 1)?
2, 337
Suppose 5*m + 103 = z, 0 = 3*z - 0*z - 9. Let q(b) = b**2 + 16*b + 20. What are the prime factors of q(m)?
2, 5
Suppose a + 204 = 4*n, -2*n + a + 96 = 2*a. What are the prime factors of n?
2, 5
Suppose -l + 5*l - 778 = -2*n, 4*l + 16 = 0. List the prime factors of n.
397
Let h = 1840 + -1209. What are the prime factors of h?
631
Suppose -3*z - 5 = t + 8, 0 = 3*t - 5*z + 11. Let d = t - -5. What are the prime factors of (-65)/(-10)*(-4)/d?
13
Let g(s) = s**2 + s. Let n(o) = -3*o**2 - 16*o + 4. Let h(a) = -4*g(a) - n(a). Let p = 85 - 74. List the prime factors of h(p).
7
Let y = 63 - 35. Suppose 0*k + 5*k = -75. Let x = k + y. List the prime factors of x.
13
Suppose 3*f = 2*f + 2*y + 2107, 2*f - 3*y - 4217 = 0. What are the prime factors of f?
2113
Suppose 2*n + 20 = 6*n. Suppose -2*k = -n*f + 17, 16 = -2*k + k + 4*f. Let h(x) = x**3 - 3*x**2 + 2. What are the prime factors of h(k)?
2, 3
Let b = -4 + 7. Suppose -4*o = -2*g + 188, 6*g - 285 = b*g + 5*o. Suppose 0*u = -5*u + g. List the prime factors of u.
2, 5
Suppose -4*w + 4686 = 5*l, 9*w = 12*w + 3. List the prime factors of l.
2, 7, 67
List the prime factors of 758*(-3 - (-4 + 1) - -1).
2, 379
Let g(s) = -s**3 + 2. Let q be g(0). Suppose 3 = -5*u + q*z - 1, 5*z + 23 = -4*u. Let j(y) = -7*y - 1. List the prime factors of j(u).
13
Suppose 3*w + 4 = 5*w. Let r(o) be the third derivative of o**6/120 - o**3/6 + 10*o**2. What are the prime factors of r(w)?
7
Suppose -17*i + 22*i - 7890 = 0. List the prime factors of i.
2, 3, 263
Let z = -1038 + 1924. What are the prime factors of z?
2, 443
Let w = -4 - -6. Suppose -6*i + 3*i + 3*n = 36, 3*i = w*n - 33. What are the prime factors of (21/i)/(4/(-60))?
5, 7
Let r(o) be the third derivative of -o**4/6 - 17*o**3/6 - o**2. Let n be r(10). List the prime factors of n/(-6) - (-1)/(-2).
3
Let o = -543 - -1223. What are the prime factors of o?
2, 5, 17
Let s(v) = 4*v - 21. Let r be s(6). Suppose 4*l - 88 - 148 = r*m, -4*l + 228 = -m. List the prime factors of l.
2, 7
Let u = 3109 - 1306. List the prime factors of u.
3, 601
Let q = 18 - 16. Suppose i = -q + 5. Suppose 4*v - 84 = 3*a + 95, -5*v = -i*a - 223. What are the prime factors of v?
2, 11
Let g be (-1)/(-1)*-3 - -6. Suppose 5*v = -g*v + 816. What are the prime factors of v?
2, 3, 17
Let w(c) = -c + 5. Let y be w(3). Let k(g) = -3*g + g**y + 5*g + 3*g. List the prime factors of k(-8).
2, 3
List the prime factors of (-27)/(-36) - 10/(-8).
2
Let k(n) = 17*n**2 + n + 4. Let v(a) | {
"pile_set_name": "DM Mathematics"
} |
-6, 3, 4
Determine l so that 5*l**3 - 919120*l**2 + 919105*l + 1838230 = 0.
-1, 2, 183823
What is v in 2*v**5 + 262*v**4 - 5370*v**3 - 782*v**2 + 16616*v - 10728 = 0?
-149, -2, 1, 18
Find d such that -2*d**5/3 - 7894*d**4/3 - 31556*d**3/3 - 47324*d**2/3 - 31546*d/3 - 7886/3 = 0.
-3943, -1
Find f, given that 3*f**3/7 - 37158*f**2/7 + 16341141*f + 4166264268/7 = 0.
-36, 6211
Factor -n**3/5 + 848*n**2/5 + 851*n/5 - 1698/5.
-(n - 849)*(n - 1)*(n + 2)/5
Determine o so that -3*o**4/5 - 1353*o**3/5 - 11994*o**2/5 - 26556*o/5 - 15912/5 = 0.
-442, -6, -2, -1
Suppose -n**2 - 3342*n - 23345 = 0. Calculate n.
-3335, -7
Determine d so that 8786*d**2/3 - 61496*d/3 - 14 = 0.
-3/4393, 7
Find m such that m**5/7 - 43*m**4/7 - 1728*m**3/7 + 61072*m**2/7 + 573056*m/7 = 0.
-37, -8, 0, 44
Factor 76*r**3 + 381*r**2 + 5*r.
r*(r + 5)*(76*r + 1)
Determine j so that -2*j**2/3 + 998*j + 3000 = 0.
-3, 1500
Solve 3*g**2 + 31632*g + 126480 = 0 for g.
-10540, -4
Determine g, given that 5*g**2 + 51995*g + 51990 = 0.
-10398, -1
Factor 5*o**3/6 - 661*o**2/6 + 7867*o/6 - 1547/6.
(o - 119)*(o - 13)*(5*o - 1)/6
Find u such that -u**3/7 - 49985*u**2/7 = 0.
-49985, 0
Find z such that 3*z**2/4 - 70*z + 928 = 0.
16, 232/3
Let 3*q**5/2 + 339*q**4/2 + 11577*q**3/2 + 114585*q**2/2 - 132636*q + 69384 = 0. Calculate q.
-59, -28, 1
Determine w so that 3*w**4 + 1284*w**3 - 140691*w**2 - 431016*w - 289044 = 0.
-518, -2, -1, 93
Solve 3*c**3 + 30789*c**2 = 0.
-10263, 0
Suppose y**4/8 + 23*y**3/8 - 21*y**2/8 - 1323*y/8 = 0. Calculate y.
-21, -9, 0, 7
Factor d**2 + 5232*d - 26185.
(d - 5)*(d + 5237)
Factor 4*n**2 - 12292*n.
4*n*(n - 3073)
Factor k**2/5 - 110238*k/5 + 3038104161/5.
(k - 55119)**2/5
Factor 3*a**2/2 + 531411*a + 94132550307/2.
3*(a + 177137)**2/2
Factor -k**3/3 - 160*k**2/3 + 4*k/3 + 640/3.
-(k - 2)*(k + 2)*(k + 160)/3
Determine x so that 148*x**2/9 + 42*x - 6448/9 = 0.
-8, 403/74
Factor -4*z**2/7 + 16692*z/7 + 200880/7.
-4*(z - 4185)*(z + 12)/7
What is n in -n**2 + 3813*n - 3812 = 0?
1, 3812
Factor -2*q**2 - 15520*q + 77650.
-2*(q - 5)*(q + 7765)
Factor -4*s**3 + 699*s**2 - 5801*s - 1494.
-(s - 166)*(s - 9)*(4*s + 1)
Find w, given that -2*w**2/9 - 122*w/9 - 848/9 = 0.
-53, -8
Determine z so that -z**4/2 - 18*z**3 - 399*z**2/2 - 850*z - 1200 = 0.
-20, -8, -5, -3
Factor -2*l**2/3 - 9764*l/3 - 13008.
-2*(l + 4)*(l + 4878)/3
Factor -2*b**2/13 - 34494*b/13 + 68996/13.
-2*(b - 2)*(b + 17249)/13
Suppose 2*n**5/9 + 16*n**4 + 2432*n**3/9 - 2068*n**2/3 - 12802*n/9 + 5476/3 = 0. What is n?
-37, -2, 1, 3
Factor 4*a**3/7 - 376*a**2/7 - 47524*a/7 - 47144/7.
4*(a - 166)*(a + 1)*(a + 71)/7
Factor -a**2/3 - 17214*a - 222241347.
-(a + 25821)**2/3
Factor -10*d**3 - 445*d**2 + 685*d - 230.
-5*(d - 1)*(d + 46)*(2*d - 1)
Determine j, given that -j**2/6 - 17159*j/6 = 0.
-17159, 0
Factor -2*i**3 - 13590*i**2 - 23079216*i + 23092808.
-2*(i - 1)*(i + 3398)**2
Solve -4*n**3 - 15384*n**2 - 14853060*n - 117841952 = 0.
-1919, -8
Factor -5*d**3 - 215*d**2 + 9405*d + 30015.
-5*(d - 29)*(d + 3)*(d + 69)
Determine b, given that b**5/10 - 309*b**4/10 - 159*b**3/5 + 1234*b**2/5 + 372*b = 0.
-2, 0, 3, 310
Suppose 2*b**2/13 - 25172*b/13 + 100656/13 = 0. Calculate b.
4, 12582
What is d in -d**3/3 - 2295*d**2 + 383104*d - 47397476/3 = 0?
-7049, 82
Factor 2*a**3/3 - 24148*a**2/3 + 72866584*a/3 + 145829776/3.
2*(a - 6038)**2*(a + 2)/3
What is a in 5*a**4 + 895*a**3/4 + 790*a**2 + 3515*a/4 + 615/2 = 0?
-41, -2, -1, -3/4
Solve -729*v**4/7 - 16875*v**3/7 - 84136*v**2/7 - 12188*v/7 - 64 = 0.
-16, -7, -2/27
Factor -5*o**4 + 1933035*o**3 - 1933030*o**2.
-5*o**2*(o - 386606)*(o - 1)
Factor 2*g**2/23 - 14*g + 2156/23.
2*(g - 154)*(g - 7)/23
Find z, given that 2*z**5/13 - 770*z**4/13 + 70554*z**3/13 + 687530*z**2/13 + 1086652*z/13 = 0.
-7, -2, 0, 197
Factor 4*d**5 - 80*d**4 + 208*d**3 + 1920*d**2 + 2304*d.
4*d*(d - 12)**2*(d + 2)**2
Suppose w**3 - 3575*w**2 + 3574*w = 0. What is w?
0, 1, 3574
Factor -j**3 - 858*j**2 - 8504*j - 20352.
-(j + 4)*(j + 6)*(j + 848)
Determine a, given that 4*a**3/7 - 656*a**2/7 + 2540*a/7 + 3200/7 = 0.
-1, 5, 160
Factor -2*l**3 + 44882*l**2 + 269364*l.
-2*l*(l - 22447)*(l + 6)
Solve 2*x**5/5 - 2048*x**4/5 + 8172*x**3/5 - 12248*x**2/5 + 8162*x/5 - 408 = 0.
1, 1020
Suppose -4*r**4 - 166604*r**3 + 166612*r**2 + 166604*r - 166608 = 0. What is r?
-41652, -1, 1
Determine f, given that f**3/5 + 28*f**2/5 - 159*f/5 + 198/5 = 0.
-33, 2, 3
Suppose 5*v**4/3 + 30*v**3 - 4600*v**2/3 + 15360*v - 140800/3 = 0. What is v?
-44, 8, 10
Find z such that -4*z**5 + 748*z**4 - 40728*z**3 + 491904*z**2 + 1862784*z = 0.
-3, 0, 22, 84
Factor -2*d**2/15 - 748*d/5 - 209814/5.
-2*(d + 561)**2/15
Suppose -4*u**5/15 + 106*u**4 - 51992*u**3/5 - 81920*u**2/3 + 64000*u = 0. Calculate u.
-4, 0, 3/2, 200
Factor -9*y**3 - 2088129*y**2 - 2784169*y/4 - 116007/2.
-(y + 232014)*(6*y + 1)**2/4
Solve -196520*x**5 - 27437660*x**4 - 1257521790*x**3 - 17961563025*x**2 + 45286519500*x + 62017801875 = 0 for x.
-1605/34, -1, 3
Find a, given that -21*a**4 + 4729*a**3/3 - 4958*a**2/3 - 4*a/3 + 296/3 = 0.
-2/9, 2/7, 1, 74
Suppose 3*c**5 - 4320*c**4 - 30351*c**3 - 52104*c**2 + 17316*c + 69456 = 0. What is c?
-4, -2, 1, 1447
Let r**4 + 29284*r**3 + 214329588*r**2 - 857669792*r + 857786944 = 0. What is r?
-14644, 2
Factor -k**2 + 109*k - 2698.
-(k - 71)*(k - 38)
Factor 108*r**5 + 228096*r**4 + 160427232*r**3 + 37468062464*r**2 - 75579660352*r.
4*r*(r - 2)*(3*r + 2114)**3
Find i such that 3*i**4/7 - 2145*i**3/7 + 377982*i**2/7 + 1956960*i/7 - 2332800/7 = 0.
-6, 1, 360
Find y, given that -2*y**4/5 + 2104*y**3/5 + 15988*y**2 + 704216*y/5 - 786258/5 = 0.
-19, 1, 1089
Factor -338*d**3/5 + 26182*d**2/5 - 2406*d + 1386/5.
-2*(d - 77)*(13*d - 3)**2/5
Let -2*z**5/5 - 1094*z**4/5 - 145724*z**3/5 + 1062028*z**2/5 - 1682498*z/5 + 153458 = 0. Calculate z.
-277, 1, 5
Factor 40*s**3 + 622*s**2 - 126*s.
2*s*(4*s + 63)*(5*s - 1)
What is c in 12*c**2 - 39286*c = 0?
0, 19643/6
Determine y so that y**5/3 - 473*y**4 + 177073*y**3 - 19463561*y**2/3 = 0.
0, 41, 689
Solve 2*x**2/9 - 372*x + 48034 = 0 for x.
141, 1533
Factor -f**2 - 646462*f - 104478279361.
-(f + 323231)**2
Determine k so that -153*k**3/5 - 5817*k**2/5 + 12126*k/5 + 48 = 0.
-40, -1/51, 2
Factor -2425*n**2/6 + 350*n - 64/3.
-(5*n - 4)*(485*n - 32)/6
Factor 3*z**3 + 4698*z**2 - 18831*z + 14130.
3*(z - 3)*(z - 1)*(z + 1570)
Find d such that 4*d**4/11 + 86*d**3/11 + 280*d**2/11 - 2034*d/11 + 936/11 = 0.
-13, -12, 1/2, 3
Factor -t**3/5 + 407*t**2/5 - 19466*t/5 + 37312/5.
-(t - 352)*(t - 53)*(t - 2)/5
Factor -a**3/8 + 187*a**2/8 - 8359*a/8 - 8547/8.
-(a - 111)*(a - 77)*(a + 1)/8
Determine z, given that -2*z**4 + 426*z**3/5 + 27472*z**2/5 + 2184*z = 0.
-35, -2/5, 0, 78
Solve -486*b**5 - 6480*b**4 - 32904*b**3 - 242516*b**2/3 - 290966*b/3 - 137180/3 = 0 for b.
-5, -19/9, -2
Suppose 579*d**2 + 5217*d + 54 = 0. Calculate d.
-9, -2/193
Factor -2*b**2/19 + 27988*b/19 + 139990/19.
-2*(b - 13999)*(b + 5)/19
Suppose 147*j**4 - 84*j**3 - 1377*j**2 + 2514*j - 1200 = 0. What is j?
-25/7, 1, 8/7, 2
Let 3885*x**3 + 69927*x**2 + 65991*x - 51 = 0. Calculate x.
-17, -1, 1/1295
Let -26*a**4/7 - 3242*a**3 + 611918*a**2/7 + 537494*a/7 - 97092/7 = 0. Calculate a.
-899, -1, 2/13, 27
Find g such that -20*g**5 - 62945*g**4 - 893955*g**3 - 3289895*g**2 - 767585*g = 0.
-3133, -7, -1/4, 0
Determine w so that 5*w**2 + 1830*w + 9025 = 0.
-361, -5
Factor -4*d**2 + 58400*d - 213160000.
-4*(d - 7300)**2
Suppose 2*t**2/3 + 5480*t + 572950/3 = 0. Calculate t.
-8185, -35
Suppose h**4/4 - 166*h**3 + 27222*h**2 + 110888*h + 111556 = 0. What is h?
-2, 334
Factor 5*i**2/3 + 33395*i/3 - 167350.
5*(i - 15)*(i + 6694)/3
Let 6*h**5 - 2301*h**4 + 124386*h**3 - 297807*h**2 + 57048*h + 118668 = 0. What is h?
-1/2, 1, 2, 62, 319
Suppose 5*z**2 + 591310*z + 1182600 = 0. What is z?
-118260, -2
Let s**4/10 + 7438*s**3/5 + 36880083*s**2/5 + 60938185518*s/5 - 121950146079/10 = 0. Calculate s.
-4959, 1
Find n such that -n**5/2 + 305*n**4/2 - 21823*n**3/2 - 221841*n**2/2 = 0.
-9, 0, 157
Factor -2*f**2 - 20138*f.
-2*f*(f + 10069)
Factor -5*d**2 + 21300*d.
-5*d*(d - 4260)
Factor o**5/4 - 3*o**4 + 39*o**3/4 + 11*o**2 - 108*o + 144.
(o - 4)**3*(o - 3)*(o + 3)/4
Solve 2*t**4/11 - 80*t**3/11 + 874*t**2/11 - 116*t - 6720/11 = 0.
-2, 5, 16, 21
Factor k**3/2 - 789*k**2/2 + 1552 | {
"pile_set_name": "DM Mathematics"
} |
))*3)/((sqrt(144)*-2)/sqrt(12)))**2.
63/4
Simplify (-2*2*sqrt(117))/sqrt(9).
-4*sqrt(13)
Simplify sqrt(612) + -4 - (sqrt(17) + -2)*1.
-2 + 5*sqrt(17)
Simplify (-1 + (-2*(sqrt(720)*-2 + sqrt(720)))**2 + sqrt(720))*4.
48*sqrt(5) + 11516
Simplify -5*(-2 + sqrt(19)) + (-1 + sqrt(2736) + sqrt(2736) - sqrt(19)).
9 + 18*sqrt(19)
Simplify -4 + sqrt(75)*-3 + sqrt(75) + 3 + 3.
-10*sqrt(3) + 2
Simplify 0 + 4*(sqrt(3) + 2) + -1.
4*sqrt(3) + 7
Simplify (-6*(-4 + sqrt(272)*2))**2.
-2304*sqrt(17) + 39744
Simplify -2 + 3*sqrt(3)*-1.
-3*sqrt(3) - 2
Simplify (5 + 3*sqrt(32))**2 - (2*sqrt(2)*6 + sqrt(2) - (sqrt(2) + sqrt(8) + 1)).
110*sqrt(2) + 314
Simplify (-2*sqrt(80) + sqrt(80) + ((sqrt(200)/sqrt(4) - sqrt(50)) + sqrt(50))/sqrt(10))**2 + -1.
44
Simplify 3 + ((3*sqrt(132))/sqrt(12))**2.
102
Simplify (sqrt(6)/(sqrt(4)/sqrt(2)) + sqrt(3))*-5.
-10*sqrt(3)
Simplify -5*sqrt(143)/(sqrt(11) + (sqrt(11) - (-1*sqrt(11) - sqrt(11))) + sqrt(11)) - sqrt(156)/(3*(sqrt(12) + sqrt(48))).
-10*sqrt(13)/9
Simplify ((sqrt(132)/(2*sqrt(4)))/(sqrt(88)/(sqrt(24)/sqrt(3)) + sqrt(11)))**2.
3/16
Simplify (sqrt(2) + sqrt(2)*-2 + -1 - sqrt(2))**2 + -5*sqrt(32).
-16*sqrt(2) + 9
Simplify sqrt(567) - (sqrt(567)*2)**2 - 4*(-2*sqrt(7) + sqrt(7)).
-2268 + 13*sqrt(7)
Simplify -1 + (-6*(sqrt(114)*-2 + sqrt(114)) - sqrt(114))/(sqrt(672)/sqrt(7)).
-1 + 5*sqrt(19)/4
Simplify (2*sqrt(1980))/(sqrt(30)/(sqrt(6)*2 + sqrt(6))).
36*sqrt(11)
Simplify (-1*sqrt(2695))/(1*sqrt(704)).
-7*sqrt(5)/8
Simplify (1 + sqrt(448)*-2)**2 + -4.
-32*sqrt(7) + 1789
Simplify 3 + (-1*sqrt(136)*-3)/(2*sqrt(8)*1 - sqrt(8)).
3 + 3*sqrt(17)
Simplify sqrt(187)/(sqrt(275) - sqrt(275)*3).
-sqrt(17)/10
Simplify (sqrt(242) + 2 + 3 + sqrt(242)*-1*5)**2.
-440*sqrt(2) + 3897
Simplify (sqrt(2057) - (sqrt(2057) + -1*sqrt(2057)*2)) + -2 + sqrt(2057)*2.
-2 + 44*sqrt(17)
Simplify sqrt(36)/(sqrt(48)/(2*sqrt(4))).
2*sqrt(3)
Simplify 5 + ((sqrt(810)*2)/(sqrt(10)/sqrt(2)*3))**2.
77
Simplify (4*-2*sqrt(68)*4)**2.
69632
Simplify (0 + (sqrt(5)*-2)**2 - sqrt(5) - (sqrt(5) - ((sqrt(180)*1)**2 - sqrt(180))))*-1.
-200 + 8*sqrt(5)
Simplify (-2*sqrt(1125))**2.
4500
Simplify 3 + sqrt(34)/(2*sqrt(98)).
sqrt(17)/14 + 3
Simplify (2 + sqrt(84)/(sqrt(48)/sqrt(4)) + sqrt(21)/sqrt(3)*-5)**2.
-16*sqrt(7) + 116
Simplify (sqrt(49)/(sqrt(7) + 1*sqrt(252) + sqrt(252)))**2*-3.
-21/169
Simplify 1*(((sqrt(13) - sqrt(13)*1 - sqrt(13))**2 - sqrt(13)) + -2).
-sqrt(13) + 11
Simplify (-1*sqrt(153) + -5 + sqrt(68))**2 + 0 + -1 + sqrt(833).
41 + 17*sqrt(17)
Simplify sqrt(20)/(sqrt(10) - (1*sqrt(640) - sqrt(640))).
sqrt(2)
Simplify -2*sqrt(162) - (1 + (0 + sqrt(2) - sqrt(2))**2).
-18*sqrt(2) - 1
Simplify 3 + sqrt(11)*2 - (sqrt(44) + -2)**2.
-45 + 10*sqrt(11)
Simplify (2*sqrt(28)*2)/((sqrt(196) + sqrt(4))*3).
sqrt(7)/6
Simplify 3 + (0 + sqrt(2299))**2*-5.
-11492
Simplify (-1 + sqrt(891)*4*-5)**2.
360*sqrt(11) + 356401
Simplify (sqrt(1728) + sqrt(1728)*1 - sqrt(1728) - sqrt(1728) - sqrt(1728))/sqrt(4).
-12*sqrt(3)
Simplify ((sqrt(210)*-2)/sqrt(6))/(sqrt(378)/sqrt(6)).
-2*sqrt(5)/3
Simplify 1 + ((sqrt(180) - (sqrt(180)*1 + sqrt(180)))*-4)**2.
2881
Simplify (1*sqrt(44) + -1*-3*sqrt(11))**2.
275
Simplify -4*sqrt(13)*-3 - (sqrt(13) + -3 + 4 + sqrt(13)).
-1 + 10*sqrt(13)
Simplify ((5*sqrt(170)*4 - sqrt(170) - sqrt(170))/((sqrt(60) - sqrt(960))/sqrt(6)))**2.
612
Simplify ((sqrt(325) - (3 + sqrt(325) + sqrt(325)))*2)**2.
120*sqrt(13) + 1336
Simplify (sqrt(136) + sqrt(136)*-1)/sqrt(8) + sqrt(68)/sqrt(16) + sqrt(17).
3*sqrt(17)/2
Simplify (sqrt(110)/(sqrt(10) + sqrt(250)) - (1*sqrt(77))/sqrt(7))*2.
-5*sqrt(11)/3
Simplify -5 + (2*(sqrt(13) - sqrt(52)) - sqrt(13)).
-3*sqrt(13) - 5
Simplify (sqrt(95) - (sqrt(95)*-2*-4 - sqrt(95)))/(sqrt(5) + (sqrt(20)*2)/sqrt(4)).
-2*sqrt(19)
Simplify ((-5 + sqrt(1100) + -1)*3)**2.
-1080*sqrt(11) + 10224
Simplify ((-3 + 2 + sqrt(68))*2)**2.
-16*sqrt(17) + 276
Simplify (-4*-3*sqrt(117))/(sqrt(27)/sqrt(3)*3).
4*sqrt(13)
Simplify ((sqrt(27) + sqrt(54)/sqrt(2)*3 + sqrt(27))/(sqrt(900)*1))**2.
3/4
Simplify 4*(-2 + sqrt(700)).
-8 + 40*sqrt(7)
Simplify 1 + sqrt(180).
1 + 6*sqrt(5)
Simplify sqrt(10)/(-3*(sqrt(4)/sqrt(2) + sqrt(2))).
-sqrt(5)/6
Simplify 4*(-5 + sqrt(5)*-1).
-20 - 4*sqrt(5)
Simplify -1 + (sqrt(7) + -4*(sqrt(7) + 1))**2 + sqrt(7).
25*sqrt(7) + 78
Simplify sqrt(11) + (sqrt(132) - (sqrt(132) - (sqrt(132) + -2*sqrt(132)) - sqrt(132)) - sqrt(132))/sqrt(12) + sqrt(11) + -1 + -1.
-2 + sqrt(11)
Simplify (4*sqrt(44)*-2)/(sqrt(1000)/sqrt(10)).
-8*sqrt(11)/5
Simplify -4*(-5 + (sqrt(11) + 2 + sqrt(11))**2).
-172 - 32*sqrt(11)
Simplify (1*(sqrt(2) + 1) + (sqrt(12) - sqrt(48)/sqrt(4))/sqrt(6))**2*-2*-3.
12*sqrt(2) + 18
Simplify (sqrt(306)/sqrt(6)*-4)/sqrt(3).
-4*sqrt(17)
Simplify (2 + 0 + sqrt(243))**2.
36*sqrt(3) + 247
Simplify -2*sqrt(700)*-1 + -4.
-4 + 20*sqrt(7)
Simplify -5 + (-4*sqrt(352))/(-2*sqrt(1100)).
-5 + 4*sqrt(2)/5
Simplify (sqrt(17)*-2*-6 - (sqrt(272) + 1)**2) + -4.
-277 + 4*sqrt(17)
Simplify ((-2 + 0 + sqrt(2))*-5 + 3)**2.
-130*sqrt(2) + 219
Simplify ((0 + 2*sqrt(153) + sqrt(153))*3)**2.
12393
Simplify sqrt(80)*-3 + -1 + -5.
-12*sqrt(5) - 6
Simplify 1 + -2*sqrt(363).
-22*sqrt(3) + 1
Simplify (4 + sqrt(833) + 2)*-5.
-35*sqrt(17) - 30
Simplify -2*sqrt(432)*4.
-96*sqrt(3)
Simplify (1*(sqrt(76) - (sqrt(76)*-1 - sqrt(76))))/(-3*sqrt(324)).
-sqrt(19)/9
Simplify sqrt(13) + (-3*sqrt(637) + sqrt(13))**2 - (sqrt(13) - (1 + sqrt(13)))*-5.
sqrt(13) + 5195
Simplify ((-2 + sqrt(11) + 1 - (sqrt(1100)*1 + sqrt(1100) + sqrt(11))) + -2)**2.
120*sqrt(11) + 4409
Simplify -1 + 4*(sqrt(13) + sqrt(13)*3) + 0.
-1 + 16*sqrt(13)
Simplify (sqrt(1053) - (-2 + sqrt(1053)))*-3.
-6
Simplify 3*(sqrt(2448) + 1 - sqrt(2448)) + (5 + sqrt(2448)*-1 - sqrt(2448)).
-24*sqrt(17) + 8
Simplify sqrt(121)/(sqrt(132)/sqrt(12)) + -4 + sqrt(704).
-4 + 9*sqrt(11)
Simplify -3 + ((sqrt(2) - sqrt(2)*1)*5)**2.
-3
Simplify (sqrt(15)*1*-2)/(2*sqrt(48)).
-sqrt(5)/4
Simplify sqrt(17) + 0 + 0 + sqrt(17) + 0.
2*sqrt(17)
Simplify (sqrt(24)*2)/sqrt(8) + -1 + sqrt(3) + sqrt(3) + -1 + sqrt(3).
-2 + 5*sqrt(3)
Simplify 4*(sqrt(108) + 0 + sqrt(108) - sqrt(108))**2*3 + 2.
1298
Simplify -4 + sqrt(243) + (sqrt(243) - 1*sqrt(243))**2 + (sqrt(243) - -4*(sqrt(243) + 1)) + 0.
54*sqrt(3)
Simplify (-1 + sqrt(108) + 0 + sqrt(108) + 3 + -1)**2.
24*sqrt(3) + 433
Simplify 1*(sqrt(68)/sqrt(4))**2*5.
85
Simplify sqrt(18) + sqrt(18) + 0 + 5.
5 + 6*sqrt(2)
Simplify ((sqrt(152)*3 - sqrt(152))*2 + sqrt(152) + sqrt(152))/((sqrt(64)*-2)/sqrt(8)).
-3*sqrt(19)
Simplify 4*(sqrt(1100) - (sqrt(1100) + 0) - sqrt(1100))*1.
-40*sqrt(11)
Simplify (-2*(4 + sqrt(147) - sqrt(147)))**2.
64
Simplify (sqrt(22)/(sqrt(4)/sqrt(2)) - 2*sqrt(11)*1)*-1.
sqrt(11)
Simplify 4 + (sqrt(18) + -2*1*sqrt(18))/(6*sqrt(27)/sqrt(3)).
-sqrt(2)/6 + 4
Simplify (-2 + (3*sqrt(405) - sqrt(405)) + sqrt(405) - (sqrt(405) + -2 + sqrt(405) + 1))**2.
-18*sqrt(5) + 406
Simplify (-2*-4*(0 + sqrt(44)/sqrt(4)))**2.
704
Simplify 1*(4 + (sqrt(832) + -5)**2).
-80*sqrt(13) + 861
Simplify sqrt(3) + sqrt(18)/sqrt(6)*5 - (3*sqrt(3)*5)**2.
-675 + 6*sqrt(3)
Simplify (sqrt(55) - 1*sqrt(3520))/((sqrt(20)/sqrt(4) + sqrt(5))*3 + sqrt(5) + sqrt(5)).
-7*sqrt(11)/8
Simplify (sqrt(12) - (sqrt(432) + sqrt(432)*2))/(sqrt(64)/sqrt(4) + sqrt(16) - sqrt(4)) + -1.
-17*sqrt(3)/3 - 1
Simplify 2 + -3 + sqrt(68)*1.
-1 + 2*sqrt(17)
Simplify 4 + (-1 + sqrt(76))*4.
8*sqrt(19)
Simplify ((4 + sqrt(5) + sqrt(15)/sqrt(3))**2 + ((sqrt(20)*-2)/sqrt(4) - sqrt(5)))*2.
26*sqrt(5) + 72
Simplify (sqrt(110)/(sqrt(2) - (sqrt(2) + sqrt(8)/sqrt(4))))/(sqrt(60)/sqrt(432)).
-6*sqrt(11)
Simplify ((1 + sqrt(175))*-3 + -6*(sqrt(175) + -1))**2*1.
-270*sqrt(7) + 14184
Simplify (sqrt(252)/sqrt(7)*3)/sqrt(12).
3*sqrt(3)
Simplify (sqrt(2448) + -2 + sqrt(2448) + sqrt(2448) + 0 + -5)**2.
-504*sqrt(17) + 22081
Simplify -4 + -1*sqrt(2) + sqrt(18) + -1.
-5 + 2*sqrt(2)
Simplify ((-2 + sqrt(175))*-6)**2.
-720*sqrt(7) + 6444
Simplify (-2*sqrt(384) - sqrt(6))/(2*sqrt(3)*-5).
17*sqrt(2)/10
Simplify -1*(sqrt(11)*-3)**2 - sqrt(44)/(sqrt(4) - (sqrt(28)/sqrt(7) + sqrt(4))).
-99 + sqrt(11)
Simplify 0 + 1 + (sqrt(99) + -1 + sqrt(99) - sqrt(99)).
3*sqrt(11)
Simplify (sqrt(3600) + (sqrt(3600) - (sqrt(3600)*-2 - sqrt(3600)) - sqrt(3600)))/sqrt(5).
48*sqrt(5)
Simplify sqrt(22)/((sqrt(220)/sqrt(4))/sqrt(5) + sqrt(11))*3.
3*sqrt(2)/2
Simplify (sqrt( | {
"pile_set_name": "DM Mathematics"
} |
t k be z(w). Is 4 < k?
False
Let c(y) = -2*y + 1. Let s be c(5). Let m = 157 + -158. Is m at most s?
False
Let f = 1303/15 - 87. Let a be 1*(-2 - 0) + 20. Let m be ((-12)/a)/(2/3). Are m and f equal?
False
Let s be 9/20 + (-4)/8. Is -1 < s?
True
Let r be 2 + (-3 - -7) + -3 + 11. Which is bigger: r or 15?
15
Let l(k) = 19*k**2 - 3*k + 3. Let h be 8/(-40)*(-2 - 3). Let v be l(h). Does v = 18?
False
Let h = 4 + -4. Let f be (-2 - h)*(-2 + 3). Which is bigger: 3 or f?
3
Let z(q) = -q - 2. Let v(u) = -4*u**2 - u. Suppose 2*c = -2 - 0. Let n be v(c). Let p be z(n). Which is smaller: p or 3?
p
Let m = -9 + 10. Suppose -3*u + 13 - m = 0. Which is bigger: u or 3?
u
Let n be 1/1 - (-2)/(-3). Let x be (-8)/14 + (-6)/14. Is n greater than x?
True
Let f be -1 + 0 + (-3 - 0). Let w be 0*(1 - -3)/f. Which is smaller: w or 1/13?
w
Let s be ((-14)/(-21))/((-2)/(-27)). Let p be (1/(-3))/(3/s). Which is smaller: p or -2?
-2
Suppose -4 = -4*r + 12. Suppose 3*h - y = -5*y + 3, 12 = -4*y. Are r and h unequal?
True
Let l = -3 + -4. Let y = 3 + l. Let f = y + 4. Which is bigger: -4/3 or f?
f
Let q(g) = -g - 2. Let k be q(-2). Let j be -3 + (2 - k - 0). Let x = -3/4 - 0. Which is bigger: x or j?
x
Let v = -1/3 + 1/12. Let k(f) = f**3 - 5*f**2 + 3*f + 5. Let g be k(4). Which is smaller: v or g?
v
Let q be -3 + (-1)/((28/16)/7). Are q and -7 equal?
True
Let y = -4.5 + 0.5. Let f = 5 + y. Which is bigger: f or 0?
f
Suppose -4 - 18 = y. Let t be 8/6 + y/12. Let s(f) = -f**3 + 6*f**2. Let k be s(6). Is t greater than or equal to k?
False
Suppose 2*a + l - 8 = 0, -2*a + 0*a + 20 = -5*l. Suppose a*c = w + 4*w - 15, 0 = 4*w - c + 3. Is w less than or equal to -1?
True
Let g = 2/105 + -16/105. Is g at least 1?
False
Let t(o) = o**3 + 4*o**2 + 2*o + 5. Let z be t(-4). Let x = -4/21 + -31/21. Is z < x?
True
Let l = -13 + 17. Suppose 10 - 22 = -t - 2*r, -l*t + 20 = r. Let a(g) = g. Let m be a(3). Is m at most as big as t?
True
Let n be 0 + -2 + (-48)/(-22). Let y(d) = -4*d**3 + d**2 + d. Let a be y(-1). Let u = -5 + a. Do n and u have the same value?
False
Suppose 0 = -y - 3*d - 6 + 72, -4*y + 297 = d. Which is greater: y or -0.1?
y
Let n(c) = c**2 + 7*c + 6. Let k be n(-4). Let f = k - -18. Suppose -4*j + f = 6*g - 2*g, -3*g = -2*j + 11. Is -2/3 at least as big as g?
True
Let n = 0.1 - -0.5. Let a = n + -0.3. Let b = -0.5 + a. Which is smaller: b or -0.1?
b
Let i = 41798/43 + -972. Which is bigger: i or 1?
1
Let j = 11 + -16. Let d be 10/(-6)*(-1)/5. Which is greater: d or j?
d
Let g = -27 - -43. Let t = g - 14.8. Let j = t - -3.8. Is j greater than 1/4?
True
Let b = 1855/4 + -468. Is 1/3 bigger than b?
True
Let b = 11 - -19. Suppose 15 = -3*j - 39. Let c be (-6)/b*10/j. Is c at most as big as -1?
False
Let o = 6.94 + -7. Let j = o - -0.16. Do 0.2 and j have different values?
True
Suppose 0 = 2*g - 2*c - 8, 0 = 5*g + 3*c + c - 11. Do g and 4 have different values?
True
Suppose 2*h + 12 = u, -4 = 4*u + 5*h - 0. Does u = 7?
False
Let h(q) = q**3 + 3*q**2 - 9*q - 9. Let k be h(-6). Let v = 33 + k. Let r be (-4)/10 - 32/v. Which is smaller: r or 3?
r
Suppose -4*u = 13 - 5. Let b = -79 + 78.9. Is b smaller than u?
False
Let w be 4 - (-1 - 3/(-3)). Let b = -9 + 12. Which is smaller: b or w?
b
Suppose 1 = 5*r - 39. Let o(g) = -g**3 + 7*g**2 + 6*g + 10. Let k be o(r). Which is greater: k or -5?
-5
Let h = 16 - 19. Which is bigger: -5 or h?
h
Suppose -1 = -2*v - 3. Let g = -1533383/275 + 5575. Let b = -28/25 - g. Which is greater: v or b?
b
Let q = -3 - -3. Let c be (q/(-1))/(1 + 0). Which is smaller: c or 0.3?
c
Let x be (-1)/3 - 4/6. Let h be 30/56 - (-48)/(-168). Is x equal to h?
False
Let p = 2 + -2. Let b(r) = r - 8 + 2 + 8. Let v be b(p). Which is greater: 1/4 or v?
v
Let c = -29 - -89/3. Let z = 1 + -3. Let f = 2 + z. Which is smaller: c or f?
f
Let i = 2 - 0. Let l = -95.1 - -95. Which is greater: i or l?
i
Let q be (-12)/(-21) - 18/105. Suppose 4*l - 5*f = -1, 4*l - 2*f = 8 + 6. Suppose 0 = 5*z + 3*d - 7*d + 15, -z = d - l. Is q at least as big as z?
False
Let q = 69 - 205/3. Suppose 18 = 4*c - 10. Let m(t) = -t**2 + 6*t + 8. Let n be m(c). Is q less than or equal to n?
True
Let g = -27 + 17. Let v be ((-1)/2)/((-15)/g). Are -1 and v equal?
False
Suppose -j - j = 6. Which is greater: j or -5?
j
Suppose 2*v = 15 - 5. Let h be v/(-15) - (1 + -2). Is h bigger than 1?
False
Suppose -2*i = -3*i - 14. Is i smaller than -13?
True
Let q be 2 + 572/(-96) + 4. Which is smaller: q or 1?
q
Suppose 5*l + o + 5 = 73, -l = -2*o - 7. Which is smaller: l or 12?
12
Suppose 48 = 3*y + 3*u, -2*y - 3*u = -3*y + 8. Let h be (1 + (-2)/y)*7. Is 6 less than h?
False
Let y = 5.02 - 5. Let c = 30 - 61/2. Which is smaller: c or y?
c
Let v(b) = -b**2 - 1. Let r(g) = g**2 - 2*g + 5. Let u(o) = r(o) + 3*v(o). Let i be u(-2). Is i equal to -2?
True
Let t be (-1)/(-4) - (-9)/(-4). Suppose 5*o + 10*o = 15. Do o and t have different values?
True
Let p = 0 + -0.1. Let o be (146/50 + -3)*(-10)/8. Which is greater: o or p?
o
Let v = 1 + -2. Let b be 40/(-140) - 6/(-70). Which is bigger: b or v?
b
Suppose 3*n + 16 = 1. Let f = n - -6. Which is smaller: f or -2/11?
-2/11
Let u be (3/6)/(1/2). Let l = 188472 - 43536961/231. Let o = l + 2/77. Which is bigger: u or o?
u
Let p = -0.2 + 0.4. Let t = 10 - 7. Let h be ((-2)/t)/(6/(-9)). Which is bigger: h or p?
h
Let u = 0.9 + -0.6. Which is smaller: 0 or u?
0
Let h = 1/8 + -3/8. Let p(k) = 3*k + 0*k + k + 1 - k + k**2. Let s be p(-3). Which is smaller: h or s?
h
Let q(p) = -p**3 + 4*p**2 - 3*p + 7. Let x = 19 + -16. Let w be q(x). Is w at most as big as 5?
False
Let d = -0.14 + 0.04. Is d greater than -1.3?
True
Let k = -0.5 + 0.62. Let l = 0.22 - k. Which is bigger: -6 or l?
l
Let l = -14882/17 + 875. Which is greater: l or 1?
1
Suppose -4*t = -3*t + 2. Which is greater: t or -7/4?
-7/4
Let h be 4/(-12) - (-34)/(-6). Let i be (h + 3)*1/3. Which is greater: i or -1/3?
-1/3
Let m be -2 + 3 - 1 - -3. Suppose 4*j - 32 = -3*y, 4*y = m*j + j - 4. Suppose 2*v - 8 - 9 = -3*r, -j*r = -v - 24. Which is greater: -0.3 or v?
v
Let w = 2 + 0. Suppose 5*r = 3*u + 29, 6*r - 22 = 2*r + 2*u. Which is smaller: r or w?
w
Let r = -0.05 - -3.05. Let c = 4 - r. Suppose -2*a + 1 - 3 = 0. Which is smaller: c or a?
a
Let p(w) = w**2 + 2*w - 27. Let a be p(4). Let v = -3 - -1. Is a at least as big as v?
False
Let s = 2.8 - 2.89. Let w = -136/315 - -2/63. Which is smaller: w or s?
w
Suppose t = -4 + 5. Let g be -1*(-1)/(-3)*-3. Let s = t + g. Is 2 != s?
False
Let z be (3 - 6) + 2 + 1. Is -2/53 at most as big as z?
True
Suppose 3*r = 32 - 5. Suppose n - 5*t - r - 15 = 0, t = n - 4. Which is smaller: n or -3/13?
n
Let f = -6.38 - 1.32. Let j = f - -8. Let l = -17/3 + 6. Which is greater: l or j?
l
Let u(x) = -x**3 + 5*x**2 - 3*x + 1. Let o be u(4). Let f be 11/(-2) + (0 - 0). Let q = f + o. Which is greater: -2 or q?
q
Let f be (-2)/(-3) - 4/6. Let w(y) = 15*y - 3. Let i be w(3). Let p be -2 + 0 + i/18. Which is greater: p or f?
p
Let d be (12/24)/((-2)/4). Which is smaller: d or -2/19?
d
Let y be (-1)/(-2)*(-150)/(-5). Let q be (24/y)/4 + -1. Which is greater: q or 0.3?
0.3
Suppose -2*n + 13 = -5*x - 1, -n = -2*x - 5. Are -6 and n unequal?
True
Suppose -5*r + 4*s - 2*s = -42, -4*r = -3*s - 35. Let x be 76/r - 1/(-2). Is x < 12?
True
Let k(q) = q + 1. Let c be k(1). Suppose 0 = u - c*u. Suppose -v + 0*v + 4*a + 8 = u, 0 = -5*v + 5*a + 10. Which is greater: -1 or v?
v
Let q be (8/3)/(4/72). Let c be 4/q*(-8)/(-130). Let k = c + -203/1560. Are k and -1 equal?
False
Let j = -33 + 36. Which is smaller: j or 12/5?
12/5
Let n = 10 + -11. Let m be 4/(8/(-18)) - n. Suppose 0 = 3*d - d + 14. Which is smaller: d or m?
m
Let a be (-8)/(-6)*18/156. Is 0.1 at least a?
False
Let w = -39 + 33. Is w equal to -7?
False
Let i be (32/(-20))/((-2)/5). Let s = i - -2. Suppose -3*y = -s*y. Which is smaller: -2/3 or y?
-2/3
Let g = 1.9 - 2. Let v(r) = -r**3 - 8*r**2 - r - 5. Let x be v(-8). Which is smaller: x or g?
g
Let u = 1.32 - 1.02. Which is bigger: u or 22?
22
Let q(g) = -2*g + 3. Let z be q(2). Let y = -214/105 + 32/15. Is y less than or equal to z?
False
Let x(s) = s**3 - 5*s**2 - 6*s + 7. Let i be x(6). Suppose 2*k - 12 = -4*h, 2*h - 3*h + 2*k = i. Which is smaller: h or -1/9?
-1/9
Suppose 6*y = 7*y. Which is | {
"pile_set_name": "DM Mathematics"
} |
osite number?
False
Let b(h) be the third derivative of 25*h**4/2 + h**3/6 - 4*h**2. Is b(1) composite?
True
Let h = 16 + -3. Is h prime?
True
Suppose 0 = -3*y + 1980 - 87. Is y a composite number?
False
Let q be (-156)/42 - (-2)/(-7). Is (-180)/(-8) - (-2)/q composite?
True
Let k = 12 - 7. Let p = k + -4. Is (2/(-4))/(p/(-110)) a composite number?
True
Suppose c + c - x - 7199 = 0, 5*c - x = 18005. Is c/14 + (-6)/21 a composite number?
False
Suppose 0 = -4*d + 7*i - 8*i + 3551, 0 = d + 2*i - 893. Is d composite?
False
Suppose 2*n = 3 + 1. Is n prime?
True
Is (2/(-8))/(1 - (-7359)/(-7356)) a composite number?
False
Suppose 3*m = s - 3*s - 12, 4*m + 16 = 2*s. Suppose s*u - u + 139 = 0. Is u prime?
True
Let r = -318 + 905. Is r a prime number?
True
Let o(q) = 80*q**3 - 2*q**2 + 1. Suppose -2*v - 3*v + 34 = 3*x, v - 8 = -x. Let s be -2 + x*(-1 - -2). Is o(s) composite?
False
Let s = -16 - -22. Let z(u) = -u**3 - 7*u**2 + 7*u + 8. Let p be z(-8). Suppose a = s + p. Is a a prime number?
False
Let y(a) = -23*a - 4. Let m(o) = o - 1. Let r(n) = 3*m(n) + y(n). Is r(-5) composite?
True
Let o(g) = g + 2. Let n be o(8). Suppose 0*t + n = -5*t. Is t/(-7) - (-887)/7 composite?
False
Let i = 288 + 1073. Is i a prime number?
True
Suppose 357 = 7*i - 56. Is i composite?
False
Is (-218 - (5 - 4))*-1 a prime number?
False
Let n = 117 + -58. Is n composite?
False
Let s(u) = u**2 + 10*u + 1. Let m be s(-10). Let h(i) = -i**3 - 6*i**2 - i - 4. Let f be h(-6). Is 2*(m - (-67)/f) composite?
True
Suppose z + 10 = 3*n - 10, -2*z = -n. Suppose -110 = 3*r - n*r - 5*f, 79 = 4*r + f. Is r a prime number?
True
Let h = 172 - 270. Let w be 3/(-6) - h/4. Let s = w + 9. Is s a composite number?
True
Suppose 0 = k - 0*k + 1. Let p = 4 + -2. Is k/(p + 150/(-74)) prime?
True
Let a(i) = -84*i**3 - 7*i**2 - 6*i - 3. Is a(-2) a prime number?
True
Let f = 170 + -49. Is f composite?
True
Suppose 0 = 5*w + 4*d - 102, -2*w - 2*w - 3*d + 82 = 0. Suppose 3*l + 9 = 0, -5*j - 3*l + w = -2*l. Is 4/(3 - j) - -69 composite?
False
Let b(p) be the third derivative of 7*p**6/12 - p**5/20 + p**3/6 - p**2. Let o be b(2). Suppose -6*z + o = -3*z. Is z a composite number?
True
Suppose 13*c = 6*c + 9695. Is c composite?
True
Is (-2 - -3) + 2*186 a prime number?
True
Suppose 2*w = -2*w - 20. Let m = w - -3. Is m/2*11*-1 composite?
False
Suppose -3*u + 4*n + 1 + 1 = 0, 5*u - n - 9 = 0. Is u/11 + (-10482)/(-66) prime?
False
Let v = -8 + 10. Is 96 - 1/(-2)*v composite?
False
Suppose -2 = 2*h - 3*h. Is 14/(-21)*(-9)/h a composite number?
False
Suppose 0 = 2*h - 3*h + 3. Let z be ((-189)/(-6))/h*74. Suppose 4*f = z + 427. Is f composite?
True
Is (1 + 1168/4)/1 composite?
False
Suppose 3*w - 23 = p, -3*p + 4*p = -w + 5. Is w a prime number?
True
Let t(v) be the third derivative of v**5/15 - 5*v**4/24 + 2*v**3/3 - 5*v**2. Is t(-7) a prime number?
False
Let o = 3 - 2. Let f be -1 + 141 + (o - -1). Suppose f = 4*n - 3*b, 3*b - 3 = 3. Is n composite?
False
Let t be -2 + 54/3 + -3. Let b = t - -7. Let i = 29 - b. Is i a composite number?
True
Suppose 4*o - 1466 = 1098. Is o composite?
False
Suppose 384 = k + 3*k. Let w = 319 - k. Is w a composite number?
False
Let g(u) = -u**2 - 8*u + 8. Let n be g(-9). Let h = 6 + n. Let v(a) = a**3 - 4*a**2 + 2*a - 4. Is v(h) a composite number?
False
Let h(m) = -m**3 - 6*m**2 + 7*m - 2. Let w be h(-7). Let d(x) = -5*x**3 - x**2 + 4*x + 3. Is d(w) a prime number?
True
Let u = 823 - 468. Is u prime?
False
Let n(o) = -71*o**3 + o**2 - 7*o - 10. Is n(-3) a composite number?
True
Let s = -4 + 43. Suppose -5*p - 4*g = 50, 2*g = -4*p - g - s. Let v = -3 - p. Is v prime?
True
Let s = 3 - 2. Is (-222)/12*s*-2 composite?
False
Let v(g) = 5*g + 27. Is v(8) a prime number?
True
Let t = -2156 - -4101. Is t composite?
True
Suppose -x + 3684 = 5*x. Is x prime?
False
Let y be 18/24 - (-110)/(-8). Suppose -71 = -3*c + 5*r, -4*c + 102 + 41 = 3*r. Let t = c + y. Is t prime?
True
Suppose h + 419 = 3*l - 248, 5*h - 249 = -l. Suppose b = 2 + 1, 4*j - 4*b - l = 0. Is j composite?
False
Suppose -377 - 128 = -5*r. Suppose 5*g = r + 504. Is g prime?
False
Suppose 5*f + 4*s - 2817 = -90, -4*s - 2196 = -4*f. Is f a composite number?
False
Is (-51)/(1 - 5 - -3) a composite number?
True
Suppose -4*h + 8 = -0. Is (h - (-2 + 3))*31 a composite number?
False
Let g be 16/(-12) + (-2)/3. Let n be (-2 + -2)*1/g. Suppose -2*h = -6, -4*i - n*h = -216 - 298. Is i composite?
False
Suppose 0*f = f - 20. Suppose -6 = -h + 5*b + f, -3*b - 121 = -4*h. Suppose p - h = 48. Is p prime?
True
Let h(f) = 22*f**2 + f. Let u be h(1). Let z = u - -14. Is z composite?
False
Let t be (8/(-20))/(2/(-10)). Suppose -2*k - 3*u - 8 = 0, k - 3*k - t*u - 4 = 0. Is (-178)/(-14) - k/(-7) a prime number?
True
Suppose -3*x + 3*y = y - 71, 3 = -3*y. Suppose -4*c - 2*t = -0*c - 26, -x = -2*c + t. Let f = c - -208. Is f a composite number?
True
Let r(h) = -3*h + 7. Let v be r(-7). Let j = v + 46. Is j prime?
False
Suppose 2*b - n - 1260 = 0, -4*b = b + 5*n - 3165. Is b composite?
False
Let b(w) = 2*w**2 - 2*w + 2 - 1 + 0*w**2. Let h be b(1). Suppose d = -4 - h, 2*a - 185 = 3*d. Is a composite?
True
Let q = 19 - 12. Let j(a) = 2*a**2 - 6*a + 9. Is j(q) a prime number?
False
Let y(h) = 2*h**3 + 4*h**2 + 5*h + 7. Is y(5) prime?
False
Let d = 1 - 1. Let p = 0 - d. Suppose p = j + 2 - 33. Is j a prime number?
True
Let f(o) = o**3 - 6*o**2 + 3*o - 3. Suppose -k + 1 = -5. Let x be f(k). Suppose 8*q - 3*q = x. Is q a composite number?
False
Let k(v) = 34*v - 19. Is k(7) a prime number?
False
Let r = 926 + -619. Is r a prime number?
True
Let i(t) = 308*t**2 + t - 2. Is i(1) prime?
True
Is 1/(3/(-12)) - -275 prime?
True
Let k = -576 + 911. Is k a composite number?
True
Suppose -2*v - 1044 = 3*o, 3*o + 110 = -4*v - 940. Let p = o + 551. Is p prime?
False
Suppose 0 = 4*j - 5*d - 46, -2*j + 3*d - 76 = -7*j. Is j composite?
True
Let p(x) = 1 + 4*x**2 + 1 - 7 - x**3 + 6*x + 3*x**2. Is p(-5) a prime number?
False
Suppose 5*u - 4343 = 4*n, -2 - 10 = -4*n. Is u a prime number?
False
Suppose 8 = 2*x - 0. Suppose z - r = 46 + 76, -486 = -x*z + 2*r. Is z a composite number?
True
Suppose v = 3*b + 9682, v = -2*b - 2*b + 9647. Is v a prime number?
False
Let s = -28 + 26. Is 134/(-4)*s - 0 prime?
True
Suppose -77 + 21 = 2*o. Let x = o + 42. Is x a composite number?
True
Suppose -3*m + m + 14 = 0. Suppose -4*a = -m*a + 9. Suppose 3*x - 166 = -2*c, 2*c - 2*x - 166 = -a*x. Is c a prime number?
True
Let k be (-2)/(4/(-2)) + 80. Let f be (-4)/(-18) + (-464)/(-18). Let g = k - f. Is g composite?
True
Suppose -2*d - 3*d - 558 = 4*i, -5*i - 120 = d. Let k be d/3 + (-1)/3. Let a = -6 - k. Is a a prime number?
True
Let y(u) = 2*u**3 - 2*u**2 - 1. Let m be (-1)/((1/(-3))/1). Is y(m) a composite number?
True
Suppose -37 = -f + 5*x, -x = 5*f + 2*x - 185. Is f a composite number?
False
Let v(s) = 4*s + s**2 + 152 - 4*s - 156. Suppose -4*r - 18 = -2*r. Is v(r) composite?
True
Suppose 0 = -9*q + 4*q. Let s(t) = 5*t**3 - 2*t - 62. Let z(j) = -2*j**3 + j + 31. Let g(f) = 3*s(f) + 7*z(f). Is g(q) a prime number?
True
Suppose -3*a + 4*s + 5 = 2*s, -5*a + 5*s + 15 = 0. Let i = 0 - a. Suppose -13 = -4*b - i. Is b a composite number?
False
Let h be (-3 - -1)/(6/81). Let i = 1 - h. Suppose 5*t - i - 22 = 0. Is t composite?
True
Let d(q) = q**2 + q - 2. Suppose 0 = -2*w + 4*b - 3*b - 9, 5*w + 15 = -5*b. Let t = -1 - w. Is d(t) a composite number?
True
Let l be (-2 + 1)/(2/(-10)). Suppose -l*g = 5 - 15. Suppose 0 = 5*a + 2 - 22, -5*i = g*a - 103. Is i prime?
True
Suppose 6*u - 4 = 4*u. Suppose -l - 15 = -5*v, v - 5 = -u*l - 2. Is (-35)/(-3)*(v + 0) a composite number?
True
Let c = 1625 + 1314. Is c a prime number?
True
Suppose 0 = 2*o - 4*o. Suppose 0 = 3*i - 4 - 5, o = 4*j + 2*i - 138. Is j a prime number?
False
Let m(x) = 349*x - 7. Let f be m(10). Is f/63 + 2/(-7) prime?
False
Let o be -1*((-14 - -1) + -2). Let a be (-2*1)/((-10)/o). Is 203/a - (-4)/(-6) composite?
False
Let h = -342 + 1141. Is h a composite number?
True
Suppose -7510 = -8*j - 2*j. Is j composite?
False
Let d(s) = 5*s**2 - 25*s - 19. Is d(18) a composite number?
False
Let y(p) = p**3 + 2*p**2 - p. Let f be y(-2). Suppose 4*q - 2*r - 4 - 26 = 0, 5*q - 40 = 2*r. Suppose f*k - q = 12. Is k prime?
True
Is (-246)/(-5) + 2/( | {
"pile_set_name": "DM Mathematics"
} |
11 - (16 + -11) - 4) + (1 - 4)
-1
What is the value of -14 - (16 + -26) - (-1 + (5 - 3))?
-5
Evaluate -5 - (-9 - 2 - (-11 - (12 + -25))).
8
What is the value of 1 + 2 + -28 + 34 + 6?
15
Calculate -2 + (10 - 18) + 16.
6
What is -50 + 50 - (1 - 2 - -11)?
-10
Calculate 186 + -180 + -2 + -1.
3
What is the value of 3 - -1 - (20 - (11 - 3))?
-8
What is the value of -6 + -1 + 0 + (4 - (3 + -3))?
-3
Calculate 14 - (-13 - (1 + -20)).
8
What is the value of 14 + (10 - 29) - -15?
10
Evaluate 2 + (-9 + (1 - -4) - -10).
8
Evaluate (2 - (-17 - 2)) + 1917 + -1909.
29
Evaluate 3 + -9 + -2 + 4 + 12.
8
What is (4 - -2) + -55 + 57 - 38?
-30
What is -1 + -8 + (226 + -224 - (-1 - 6))?
0
What is 14 - (-19 + 50 - 18)?
1
Evaluate 8 + (-8 - (-7 + 0 + (-23 - -32))).
-2
What is 17 + -32 - -6 - 4?
-13
(0 - -20) + (28 - (-7 + 16))
39
Evaluate 16 + 0 + 2 + 7 + 4 + -18.
11
What is the value of 63 - 48 - (-2 - (3 + -11))?
9
What is -23 + 17 + (-32 - -43)?
5
Evaluate 25 + -60 - (-5 + -16 - -8).
-22
What is the value of (-6 - (5 - 13)) + -8?
-6
Evaluate 2 - 11 - (-91 + 45 - -41).
-4
-4 + 22 + -17 + (0 - 1)
0
(4 - 12 - (3 - 4)) + 7
0
Calculate 3 - (0 + 0 + -465 + 462).
6
What is 23 + (-7 - (-9 - -11 - -2))?
12
Calculate -1 + (13 - (3 - -9) - (15 + -5)).
-10
-2 + (-12 - (-11 - -17 - 16))
-4
What is (1 - (3 + -5 - -7)) + -184 + 183?
-5
What is (-3 - (4 + -4)) + 6 + 8 + -1?
10
-20 - -25 - (2 + (7 - 4 - 3))
3
What is the value of -14 - ((-11 - -4) + -17)?
10
-11 + 13 + -7 + -24
-29
What is the value of (-8 + 10 - (-1 + 3)) + -3?
-3
Evaluate (10 - (33 + -11)) + 7 + -12.
-17
-1 - (36 + -12 + -22)
-3
Evaluate -207 + 210 + 1 + 4 + 2.
10
Calculate 15 - (9 - (4 + 2)) - (7 + -2).
7
-1 + (1 - -1) + -249 + 243
-5
What is the value of 15 + -15 + (-1 + -6 - -6)?
-1
What is the value of -6 - (-5 - -3) - (-14 - -2)?
8
(10 - 5) + 11 - -4 - (-2 + 11)
11
Evaluate 0 - (-8 - (-3 - 10)) - 5.
-10
Evaluate (6 - 15) + 14 - 15.
-10
What is the value of 28 + (-22 - (-30 + 14))?
22
Evaluate -14 + -24 + 41 + -3.
0
Calculate -1 - (11 + 5 + (2 - 8)).
-11
What is (14 + -9 - 1 - -3) + 11?
18
Calculate -7 + (0 - 0 - (-80 - -85)).
-12
Evaluate 7 + -8 - (-5 - -7).
-3
Evaluate 1 + 0 + -29 - (-29 - (-103 - -67)).
-35
Calculate (1 - (11 - (2 - 4))) + (-1 - 5).
-18
Evaluate -19 + -15 + 11 - -11.
-12
Calculate 15 + -43 + 59 + (3 - 33).
1
What is the value of (-11 - -6) + 14 + 0 + -22?
-13
What is 30 + 14 + -23 - 13?
8
Evaluate 15 - (-2 + 2 - -6).
9
What is (11 - (-2 - 1)) + -40?
-26
-7 + (-2 - 3 - -22) - 3
7
Evaluate 19 + -16 + (-20 - -16).
-1
(-5 - -1) + (-22 + 11 - -12) - -1
-2
Evaluate 1 - 2 - (34 + -37) - (-14 - -7).
9
Calculate -6 + (9 - 13 - 6) + 2.
-14
What is -7 + (37 + (-6 - 1) - 4 - 7)?
12
-14 - (2 + -17 - -4)
-3
Evaluate (6 - 0 - 9 - (-2 + 1)) + 2.
0
What is -6 + 10 + (-7 - -10) + (0 - 3)?
4
5 + (-23 - (17 - 30) - 5)
-10
Calculate 8 + 2 + (4 - 5) - (20 - 2).
-9
17 + 2 + (-7 - (2 + -7))
17
What is 18 + -16 + 4 + 6?
12
-12 + -3 + (-12 - -34)
7
(24 - 10) + 0 - 1
13
Calculate 10 - 3 - (77 + -67).
-3
12 + (6 - 20) - (-50 + 22)
26
-3 + 5 + -6 + 2 - (-6 + 2)
2
Evaluate 4 - (10 + -5) - -1 - (-23 + 37).
-14
Calculate (-2 - (-1 + -2)) + -66 + 80.
15
Calculate -10 + 30 + -20 - (-4 - 0).
4
What is the value of (0 + 2 + 7 - -18) + (3 - 8)?
22
Calculate -32 + 34 + (15 - 4) - 4.
9
Calculate (-28 + -1 - -30) + 2.
3
-9 + 6 + -12 - (-1 - -7 - 5)
-16
11 + (-6 - (8 - 11))
8
What is 19 - (5 - (1 - -4))?
19
Calculate -1584 - -1618 - (46 - 0).
-12
Evaluate 6 + -27 + 4 + (9 - (12 - -2)).
-22
What is -17 + 1 + 6 + 4 + 5?
-1
What is (7 - 0 - -2) + -16 + -5?
-12
What is 58 - (108 + -47) - (0 + -2)?
-1
Evaluate (0 + (-7 - -7) - (-5 - 1)) + 6.
12
What is the value of (8 - (3 - -17)) + 24?
12
Evaluate -11 + 9 + (10 + -3 - -3).
8
Calculate 16 - (3 - (-43 - -26)).
-4
What is the value of -19 + (29 - (21 - 4))?
-7
What is the value of 8 - (12 + -5) - 3 - (0 + -16)?
14
Calculate (-25 - -82) + -37 + -10 + 0.
10
What is the value of -9 + 13 + -4 - (1 + 1 - 9)?
7
Calculate -10 + 18 + -13 + 16.
11
What is the value of (-1 - 0) + (-718 - -682)?
-37
What is the value of -12 + -29 + 42 + (-2 + 3 - 2)?
0
What is -3 + 6 - 13 - -23?
13
-5 + 3 - (-1 - 2)
1
2 + -1 - -7 - -1
9
Evaluate -2 + 5 + 18 + -3 - (-24 - -27).
15
What is the value of 16 + -14 + -25 + -1 + 2 + 7?
-15
Evaluate -6 - (22 - 28) - (-2 - 0).
2
What is 13 - (-12 + 4) - 20?
1
Calculate 5 - -23 - (-71 - -93).
6
Evaluate 11 - (0 - (-13 - -6)) - (-4 + 7).
1
What is 8 + (14 - (8 + (14 - -11)))?
-11
Calculate (8 - 1) + -4 + (1 - -9) + -14.
-1
Evaluate (8 - (9 + -2)) + (1 + 0 - -6).
8
What is the value of 32 + (-29 - -16) + -12?
7
What is 14 - (14 - (-3 - -11 - (1 + 4)))?
3
Evaluate (2 - -1 - 0) + -44 + 4 + 44.
7
Calculate 17 + -8 + -2 + -2.
5
0 + 14 - 13 - -4
5
Calculate -5 - (-1 + (-32 - 3 - -7) - -5).
19
53 - 75 - (-4 + -8 + 1)
-11
Calculate (-63 - -24) + 36 + 1 + 0 + -3.
-5
What is the value of 0 + (9 + 12 + -14 - 13)?
-6
Evaluate 1 + (-8 - (6 + -4 - 9)).
0
Evaluate 76 + -60 + (-5 - -2).
13
(6 - 7) + -4 + -5
-10
What is the value of 0 - (-17 + 5 - -3)?
9
-5 - (-18 - (-6 + -3))
4
-14 - (27 - (-17 - -50))
-8
Evaluate 39 + (23 - (5 - -26)).
31
Calculate (-3 - -2) + 0 + (405 - 384).
20
(-11 - -6 - (7 - 24)) + -9
3
What is the value of -19 + -13 + (31 - 19) + 57?
37
Calculate 6 + 6 + -3 - (250 - 240).
-1
What is -8 + 15 - 6 - 10?
-9
-29 + 17 + 18 - -21
27
Calculate 73 + -78 + (2 - 0) - -18 - -10.
25
17 + (-5 - (-18 - -7))
23
-65 + (68 - -2) + (1 - -13)
19
-8 - (7 + (-5 - (-6 - -6)) + -6)
-4
8 + (-33 - (0 - (-4 + 1)))
-28
What is the value of -16 + (16 - 9) - (-4 + (-2 - 0))?
-3
Evaluate (33 - 44) + (14 - (2 + -3)).
4
What is 2 + (19 - 12) + -3 + 5?
11
Calculate -34 + (82 - 51) + -17 + 0.
-20
Evaluate 14 + (35 - 8) - 15.
26
Evaluate 6 + 0 + (20 - 21 - -4) - 0.
9
What is 12 + -23 + 4 - -5?
-2
-16 + (-33 - -38 - (8 - 3)) + 0
-16
Evaluate -26 - (35 + -40) - (-13 - -2).
-10
What is 20 - ((-20 - -13) + 15)?
12
Evaluate -33 - (-38 - (-8 + 7)).
4
What is the value of -13 - -11 - (17 + 2 - 1 - 6)?
-14
Calculate (-21 - (8 + -22)) + -9 + 3 + 0.
-13
What is -21 - (12 - 15 - -11) - (-8 + 1)?
-22
4 - (-11 + (4 - -19))
-8
157 + -155 - (5 + -2 + (2 - 1))
-2
Calculate -1 - 2 - (22 + -16 - 11).
2
Evaluate -9 + 1 - (653 - 662).
1
What is the value of 5 + (12 - 8) + (0 - -2)?
11
(-12 - -12) + (4 - 4) + 4
4
Calculate -7 + 24 + -5 - 14.
-2
What is -4 + -14 + (8 - (-3 + 5))?
-12
Evaluate (2 - 3) + -1 + 13 + (-3282 - -3242).
-29
Calculate (0 - (10 - (1 + 2))) + 4.
-3
What is 14 - (21 - (-6 - -5 - 13))?
-21
What is the value of 27 - 8 - (-4 - ((-5 - 0) + 3))?
21
What is the value of 1 - 13 - (-28 - 4 - 5)?
25
Evaluate -8 - (5 + -17 + 13 + -4).
-5
What is the value of -26 - -18 - (-3 + -7) - (1 + 3)?
-2
Evaluate 16 + -23 + 31 + 2.
26
-6 + 1 + (24 - (5 + 15))
-1
-5 + (-3 - -20) + -2 + 5
15
What is the value of (11 - 1) + -4 + (7 - (1 + 2))?
10
Evaluate -11 + (1 - (1 + 7)).
-18
Calculate -8 + 4 + (-13 - 0).
-17
Evaluate 1 + 5 + (-16 + -2 - (-3 - 23)).
14
Evaluate (1 - -5) + -16 + 4 - -4 - -5.
3
What is the value of 18 + (-10 - 5) + 10 + -2?
11
Evaluate 0 - (12 + -14 + -1 + 17).
-14
-14 - ((-13 - 18) + 12)
5
What is (14 - 13) + -1 + 6 + -19 + 1?
-12
What is the value of (18 + -8 - 6) + 8?
12
Evaluate -22 + 15 + -2 + 3 + 18.
12
What is the value of 75 - (45 + -34 - -26)?
38
What is the value of (-7 - -5) + 7 + -4 + 4 + 4?
9
(5 - 1 - ((1 - -14) + -4)) + 3
-4
What is -12 + 31 + 1 + 0 - (-28 - -32)?
16
Calculate 11 - (3 - -8) - 3.
-3
(2 - 9 - (-7 - 1) - -18) + -7
12
Calculate -12 - (-11 - -11) - 8.
-20
What is the value of (-5 - -3) + -7 + 1?
-8
-7 + (35 - (-12 + 51))
-11
What is the value of 19 + 33 - 57 - ((-2 - -1) + 1)?
-5
Calculate (4 - 7) + -7 + 4.
-6
What is -16 - (-2 - (-13 + 24))?
-3
Evaluate 33 + -25 + -1 + 4.
11
Calculate -20 - (17 + (-24 - 16)).
3
Calculate -1 - (8 + 2 + -8 + -8 + 20).
-15
Calculate -13 - -14 - -10 - 24.
-13
(-73 - -65) + 1 + 6 + -8
-9
-13 + (-1 - -3) - (-29 + 22)
-4
Calculate -9 - -15 - 3 - -3 - 7.
-1
Calculate 5 - (10 + (5 - 4) - 3).
-3
Calculate 13 + -56 + 36 - (-3 - 15).
11
What is (8 - (24 + -10 + 8)) + 3?
-11
Calculate 5 - (-3 + 4 + 11 + -1 - 0).
-6
What is the value of (2 - 3) + 3 + (-3 - -27 - 14)?
12
-13 + (14 - (-7 + 7)) - 31
-30
What is 4 + 0 - (-3 + (-15 + 13 - 7))?
16
What is -8 + 1 | {
"pile_set_name": "DM Mathematics"
} |
-122*v + 77*v + 765 for v.
17
Solve 110*y + 367 - 17 = -200 for y.
-5
Solve -75 - 65 = 15*w - 20 for w.
-8
Solve -75*z = -55*z - 200 for z.
10
Solve 420 = -w + 421 for w.
1
Solve 7*r = 27839 - 27804 for r.
5
Solve 0 = 18*w - 60 + 114 for w.
-3
Solve 5414*f - 5322*f + 1012 = 0 for f.
-11
Solve 0 = 847*u - 1172*u - 4225 for u.
-13
Solve -3868*h = -3851*h + 357 for h.
-21
Solve -13*g - 2394 = -2*g - 2504 for g.
10
Solve -11*w - 480 = -326 for w.
-14
Solve 148 = -199*g - 349 - 100 for g.
-3
Solve 32 = 16*m + 96 for m.
-4
Solve 1904*f + 260 = 1914*f for f.
26
Solve -21*x + 44*x - 27 = -4 for x.
1
Solve 48270*i - 48293*i = -437 for i.
19
Solve 458*v + 1211*v + 2490 = -24214 for v.
-16
Solve 525 = -34*p + 51*p + 627 for p.
-6
Solve -17568*v + 24 = -17562*v for v.
4
Solve -94 - 6 = 7*h - 2 for h.
-14
Solve 0 = -z - 194*z + 282 - 1257 for z.
-5
Solve 108*w + 42 = 258 for w.
2
Solve 1059 = 289*i + 3082 for i.
-7
Solve -157*w + 46*w + 15 = -207 for w.
2
Solve -70 = 58*n - 128 for n.
1
Solve -151 - 110 = 31*p - 13 for p.
-8
Solve -4844 = 16*c - 4828 for c.
-1
Solve 49110 - 53654 = -284*l for l.
16
Solve 424*u + 425 = 67*u - 646 for u.
-3
Solve 18*l + 530 = 23*l - 58*l for l.
-10
Solve -191 = 16*h + 49 for h.
-15
Solve -34*s + 1003 = 179*s - 275 for s.
6
Solve 28*d + 228 - 137 + 245 = 0 for d.
-12
Solve -4*s + 1404 = 1340 for s.
16
Solve 75*p + 725 = -487 + 237 for p.
-13
Solve -60*a - a = 15*a - 1976 for a.
26
Solve -119*h - 4 = -77*h + 290 for h.
-7
Solve -4497*g = -4451*g + 9 - 423 for g.
9
Solve -529*d = -1386*d - 19711 for d.
-23
Solve -9*a - 1128 = -1083 for a.
-5
Solve -7*u + 14*u - 2*u = -4*u for u.
0
Solve 0 = 19*t - 11*t - 16*t - 160 for t.
-20
Solve -20*w + 825 = 145*w for w.
5
Solve 23*p - 84 = 79 + 113 for p.
12
Solve -18*a + 67*a = 151 + 94 for a.
5
Solve 6749*f - 7019*f + 810 = 0 for f.
3
Solve -39*d + 123*d = -38*d - 2562 for d.
-21
Solve 52*c - 1767 = -2963 for c.
-23
Solve -10*q - 19098 = -19008 for q.
-9
Solve -24 - 214 - 149 = -43*t for t.
9
Solve 33*a - 50 = 18 + 97 for a.
5
Solve -55 + 4 - 17 = 17*t for t.
-4
Solve 14*j - 54037 + 53939 = 0 for j.
7
Solve 324*f = -6822 - 2898 for f.
-30
Solve -37*m - 170 + 54 - 217 = 0 for m.
-9
Solve -72 + 33 = -47*a + 337 for a.
8
Solve -1927 - 565 = -34*j + 212*j for j.
-14
Solve 0 = 70*r - 271 + 1041 for r.
-11
Solve 119*p - 29*p + 250 = -35*p for p.
-2
Solve -375*u + 366*u - 13 = 23 for u.
-4
Solve -274*y + 305*y = -434 for y.
-14
Solve 6*m + 11*m - 6*m = 253 for m.
23
Solve 425 = 55*x - 16*x - 160 for x.
15
Solve 77*v - 39*v + 149 - 985 = 0 for v.
22
Solve -68*j - 181 = 87*j - 26 for j.
-1
Solve -19*r - 137*r = 210*r + 11712 for r.
-32
Solve -39*n + 66*n = -36*n - 693 for n.
-11
Solve 98*l + 141*l - 4302 = 0 for l.
18
Solve 649 - 63 = -129*f + 70 for f.
-4
Solve 0 = -86*d + 863 + 255 for d.
13
Solve 172*d - 499 - 33 = 704*d for d.
-1
Solve 281*f - 51*f = -690 for f.
-3
Solve -14*o = -10502 + 10110 for o.
28
Solve -351 = 1840*m - 2191*m for m.
1
Solve 125 = 48*k + 413 for k.
-6
Solve 28*o = -5608 + 5328 for o.
-10
Solve 14543 = 45*g + 14993 for g.
-10
Solve 9*m + 116 - 17 = 0 for m.
-11
Solve -1133*p = -1203*p + 980 for p.
14
Solve -20*v + 19*v - 46*v + 188 = 0 for v.
4
Solve -90 + 870 = 130*y for y.
6
Solve -235 = -63*d - 1306 for d.
-17
Solve 167*m - 168*m = -426*m - 1700 for m.
-4
Solve -13330*q - 510 = -13300*q for q.
-17
Solve -350*p + 45 = -365*p for p.
-3
Solve 36*u + 515 = 14*u + 229 for u.
-13
Solve 1581*p + 1216 = 1505*p for p.
-16
Solve 0 = -213*o + 305*o + 276 for o.
-3
Solve 17*h - 328 = 79*h + 230 for h.
-9
Solve 2144*c - 2124*c + 200 = 0 for c.
-10
Solve 0 = 437*l + 15449 - 1028 for l.
-33
Solve -104*q - 74*q - 1305 - 119 = 0 for q.
-8
Solve 39*b + 34*b - 78*b = -75 for b.
15
Solve 83*p + 398 = -909 + 62 for p.
-15
Solve 5 = 24*w + 124 + 25 for w.
-6
Solve -600 + 141 = -51*z for z.
9
Solve 154 - 8486 = 778*q - 552 for q.
-10
Solve -14*w + 36 = -4*w - w for w.
4
Solve 18*y + 11*y - 37*y - 128 = 0 for y.
-16
Solve -928 = 16*m - 976 for m.
3
Solve -27*h + 232 + 227 = 0 for h.
17
Solve 108 - 66 = 3*k for k.
14
Solve 9*k = 30*k - 308 - 28 for k.
16
Solve -13975 = 21*x - 14143 for x.
8
Solve -1070 = 138*c - 245*c for c.
10
Solve -381 = 265*l + 1474 for l.
-7
Solve 0 = -53*p - 133 + 292 for p.
3
Solve 155*s + 84 = 113*s for s.
-2
Solve -121*s = -903 - 549 for s.
12
Solve -1311*d + 12252 - 7009 = -14422 for d.
15
Solve 25*w + 591*w + 14168 = 0 for w.
-23
Solve -13*z - 3221 + 3260 = 0 for z.
3
Solve 12*a - 140 = 220 for a.
30
Solve -8*o - 5*o = 6*o + 228 for o.
-12
Solve -43*o - 715 = -108*o for o.
11
Solve 42*u + 284 + 569 - 139 = 0 for u.
-17
Solve 22 = -36*j - 194 for j.
-6
Solve 402*p + 993 = 3405 for p.
6
Solve -24*x + 8*x + 156 = 23*x for x.
4
Solve -93*q = -39*q - 524 - 232 for q.
14
Solve -9*i = 53 - 26 for i.
-3
Solve 10*k + 84 = 26*k - 28 for k.
7
Solve 1414*z - 728*z = 707*z + 42 for z.
-2
Solve 0 = 71*d + 55*d - 130 - 122 for d.
2
Solve -88*l - 2114 + 618 = 0 for l.
-17
Solve -99*x - 7162 = -6667 for x.
-5
Solve 340 = 146*y - 81 - 17 for y.
3
Solve 270*g - 218*g = -22 + 958 for g.
18
Solve 14 = -36*g + 50*g for g.
1
Solve 59*x - 10*x = 72 + 26 for x.
2
Solve -231*w - 2333 - 208 = 0 for w.
-11
Solve 537 = -83*h + 683 - 561 for h.
-5
Solve 75*d - 2402 = -2777 for d.
-5
Solve -714 - 378 = -43*o - 232 for o.
20
Solve 18845*m + 280 = 18865*m for m.
14
Solve 214 - 257 = 43*y for y.
-1
Solve -28*s - 53 = -139 - 54 for s.
5
Solve 2767 = -510*z - 3353 for z.
-12
Solve 38*f - 9*f + 9*f + 304 = 0 for f.
-8
Solve -21*p - 355 = 46*p + 4*p for p.
-5
Solve 18*t - 5*t + 26*t + 936 = 0 for t.
-24
Solve 223*c + 240 = -17*c for c.
-1
Solve 126*f + 127*f + 18 = 262*f for f.
2
Solve -51*t + 9*t + 128 = -40 for t.
4
Solve -127*n = 111*n - 1904 for n.
8
Solve -61*z + 4 + 6 = 10 for z.
0
Solve -51 - 155 = 30*x + 64 for x.
-9
Solve 110*k + 117 + 144 = -69 for k.
-3
Solve -20*s + 16*s = -3*s + 9 for s.
-9
Solve 0 = -t - 0*t - 2 + 6 for t.
4
Solve 30*m - 1 + 1 = 127*m for m.
0
Solve -24*y - 670*y - 10298 = -152*y for y.
-19
Solve -8*r = -6*r + 6*r - 64 for r.
8
Solve -16*g - 56 - 184 = 0 for g.
-15
Solve -57*r + 5*r = 47*r - 990 for r.
10
Solve 12*y - 10*y + 12 = 0 for y.
-6
Solve -257*m = 1179 + 2162 for m.
-13
Solve 129*j - 119*j - 10 = 0 for j.
1
Solve 2493 = -f + 2511 for f.
18
Solve 781 = -49*i - 22*i for i.
-11
Solve -18*p - 2771 = -2645 for p.
-7
Solve 1144*z = 797*z - 5552 for z.
-16
Solve 373*k = 390*k - 170 - 272 for k.
26
Solve -1125*w - 270 = -574*w - 560*w for w.
30
Solve -49*s - 66 = 215 - 85 for s.
-4
Solve 7*r + 330 - 120 - 133 = 0 for r.
-11
Solve -b + 78 = -9*b - 5*b for b.
-6
Solve 975 = -342*c - 945 - 816 for c.
-8
Solve -10*t - 40 - 43 - 57 = 0 for t.
-14
Solve -16425 = 62*d - 16611 for d.
3
Solve -25*x - 12*x + 66 = -15*x for x.
3
Solve 0 = 37*q + 31 + 81 - 1 for q.
-3
Solve -86 + 300 = -51*a - 245 for a.
-9
Solve -3079*r = -3080*r for r.
0
Solve 11*t - 71 - 10 = -15 for t.
6
Solve -15264 = 123*a - 13296 for a.
-16
Solve 0 = -0*q + 11*q + 101 + 130 for q.
-21
Solve 22*f + 279 = 543 for f.
12
Solve 0 = 274*x - 286*x - 180 for x.
-15
Solve -1301 = 143*d + 2246 + 1029 for d.
-32
Solve -714*p + 4076 + 12346 = 0 for p.
23
Solve 289 - 542 = 21*t - 169 for t.
-4
Solve 32*d + 36 = 164 for d.
4
Solve -7*m - 45*m + 30 = -22 for m.
1
Solve -654*h - 2361 = -12171 for h.
15
Solve -1 = 5*m + 14 for m.
-3
Solve -432*d = 904 + 1800 - 544 for d.
-5
Solve 2216 = -307*f - 247*f for f.
-4
Solve -40 = -56*w - 56*w + 117*w for w.
-8
Solve 36 - 44 = -12*w - 104 for w.
-8
Solve 144 - 103 = 24*d - 391 for d.
18
Solve 0 = -9*s - s + 28758 - 28628 for s.
13
Solve 592 = 183*v - 2336 for v.
16
Solve 77 = -9*a + 36 + 131 for a.
10
Solve 28 = 26*r + 314 for r.
-11
Solve -50 + 54 = 13*c - 11*c for c.
2
Solve 0 = 3*b - 133*b - 769 - 11 for b.
-6
Solve 414 = 355*q - 309*q for q.
9
Solve 862*r - 820*r + 340 = -878 for r.
-29
Solve -948 = -28*k - 47*k + 552 for k.
20
Solve 598 = 11325*o - 11351*o for o.
-23
Solve -10*o + 191*o - 280 = -2271 for o.
-11
Solve 0 = 14*l + 145 - 15 - 46 for l.
-6
Solve 241 = -54*p - 461 for p.
-13
Solve 46950*w - 704 = 46982*w for w.
-22
Solve -1162*k = 137*k - 17903 - 26263 for k.
34
Solve -112 - 115 = 23*u + 141 for u.
-16
Solve 0 = 60*l + 457 + 83 for l.
-9
Solve 0 = 21*f - 33*f + 1 | {
"pile_set_name": "DM Mathematics"
} |
3*w = -40. Suppose -9*x + w*x = -314. Let y = 955/3 + x. Which is the smallest value? (a) -0.4 (b) y (c) -0.2
a
Let h = 10 - 7. Let s be h*(1 - -2)/18. Let x be 3/(-10*3/6*42/(-70)). Which is the smallest value? (a) x (b) s (c) -2/21
c
Let f(z) = 151*z + 1513. Let k be f(-10). What is the second biggest value in k, 0.05, 0.4, 0.1?
0.4
Let j = -11 + 15. Suppose 5*d - 14 = -3*i, -2*d - d + 18 = -3*i. Let z be (-8)/6*i*(-1)/4. What is the second biggest value in -0.2, -0.4, j, z?
-0.2
Let z(q) = q**2 + 54*q - 112. Let v be z(-56). Which is the third biggest value? (a) -2/3 (b) v (c) -37 (d) 1 (e) 3/7
b
Let z = -3.99451 - 0.00549. Suppose 3 = 2*d + 7. What is the smallest value in -2/9, d, z?
z
Let j(z) = -z**3 + 13*z**2 + 3*z + 404. Let l be j(15). What is the smallest value in 14/11, 1, l, -0.399?
l
Let l be 11 - ((-150)/(-15) + (-308)/(-268)). Which is the second biggest value? (a) 3 (b) -2 (c) l
c
Let b = 0.02 - 7.02. Let c = -12.8 - -13. What is the third biggest value in c, b, -5?
b
Suppose 0 = 3*c + 14 + 13. Let t be (15/c - -3)*(-9)/6. Let p = 144/247 + -14/19. What is the biggest value in p, 4, 2/9, t?
4
Let m = -3.817 + 3.997. What is the second biggest value in 13/4, m, 1/3, 1/8?
1/3
Let x = 13.1 - 13. Let q = 2.23 + 2.87. Let g = q - x. What is the fourth smallest value in 1/6, 0.4, g, -1?
g
Let u = -17.6 - -17.7. Suppose -3*w + 144 = -2*i + 152, 3*w + 10 = i. What is the second smallest value in w, -0.11, u, -0.4?
-0.4
Suppose -65*x = -158 - 102. Let u be 57/84 + 6/(-14). What is the third biggest value in -5, u, x, 0.2?
0.2
Let o = -26 - -47. Let y(u) = 7*u - 175. Let h be y(23). Let m be 1/(-2)*(h/o - 0). Which is the fourth smallest value? (a) 5 (b) 2/7 (c) 2 (d) m
a
Let n be 3/2 + (-4 - 500/(-8)). Suppose 17*k - 2*k = n. Which is the biggest value? (a) k (b) -1 (c) 8
c
Let d = -992.1 - -939. Let w = d + 53. Which is the biggest value? (a) 8 (b) 2 (c) w
a
Let p be (-19 + 44196/2352 - 1/(-4))*-3. Which is the fourth smallest value? (a) 0.1 (b) -0.3 (c) p (d) 0.5 (e) 2
d
Let m = 0 + 0.4. Let d = 11788 - 11778. What is the second biggest value in m, d, 0.3?
m
Let d = -46.7 - -48.603. Let t = d + 0.097. Which is the third biggest value? (a) -0.4 (b) t (c) -1
c
Suppose 22*y + 511 + 193 = 0. Let w = -30 - y. What is the third smallest value in -8.5, 3, w?
3
Suppose 456*z = 903*z - 425*z + 66. Let w be ((-20)/(-45))/(4/3). What is the second smallest value in z, w, 0.08?
0.08
Let q = 2065 - 2062. What is the third smallest value in 1/2, q, -2/7, 4/93?
1/2
Let r = 175 - 125.3. Let w = r + -50. Let v = w + -0.1. Which is the smallest value? (a) 0.1 (b) 1/5 (c) v
c
Let o = 953187/31 + -30748. What is the fourth biggest value in -3, 8, o, -2/9?
-3
Let w = 0 - 0.1. Let j = -4.11 - 0.89. Let s = -221 + 221.5. What is the third biggest value in -1/2, j, s, w?
-1/2
Let w = -168 - -170. Suppose -84 + 8 = -5*k + w*q, -2*q + 8 = k. Suppose -1 - 1 = -2*y. Which is the third smallest value? (a) 5 (b) k (c) y
b
Let o = 26586.82 - 26219. Let n = 368 - o. What is the smallest value in n, -1, -0.9, 0.3?
-1
Let x = -131/6 + 68/3. What is the second smallest value in x, -2/7, 14?
x
Let q(t) = 4*t + 19. Let l be q(-3). Suppose -l*z + 1014 = 97. Let o = -134 + z. Which is the fourth biggest value? (a) -4 (b) -7 (c) o (d) 2
b
Let n = 33 - 13. Let j = -0.4009 + -0.6991. Which is the third smallest value? (a) j (b) n (c) 0
b
Let d(m) = 4*m**2 + 60*m + 5. Let j be d(-15). Let o = -2.24 - -0.24. What is the second biggest value in j, 22/3, o?
j
Let z = -0.21891 + 0.01891. Which is the third biggest value? (a) z (b) 0.042 (c) 1/4 (d) 2/9
b
Let t = -0.1 - -0.6. Let i = -445 - -443.06. Let q = i + 2.34. Which is the biggest value? (a) -4 (b) t (c) q
b
Let n be 9 - -2*(-575)/130. What is the third biggest value in n, -0.061, 2.5?
-0.061
Let x be (8 - 2) + 27*-3*3/27. Which is the third smallest value? (a) 2 (b) 1/33 (c) x
a
Let j = -1.2 - 84.8. Let i = 91 + j. What is the third smallest value in -1/4, -1/5, i?
i
Let x = 3 + -1. Suppose -x*u = r + 5, 5 = -2*r - 5*u - 7. What is the second biggest value in 1/5, 8, r?
1/5
Let f be 2/(4 + -60)*24/3. What is the third biggest value in f, -92, -1?
-92
Let d = -645 + 640.004. Let g = -0.004 + d. Let k = -0.27 + -0.13. What is the second biggest value in 2/11, g, k, -1?
k
Let x = -0.9368 + 0.4368. Let j = 7 + -6.99. Let f = 0.99 + j. Which is the biggest value? (a) x (b) 5 (c) f (d) -5
b
Let a = -0.5 + 4.5. Let t = -0.64973 - -0.14973. What is the biggest value in 0.061, a, t?
a
Let p = -17 - -17.031. Let l = -1005.8 + 1006. Which is the second biggest value? (a) -2/3 (b) l (c) p
c
Let m be ((-6)/4)/(2*3). Let r = 101 - 98. Which is the third smallest value? (a) 6 (b) 1/6 (c) m (d) r
d
Let t = 2202/5 - 440. Which is the fourth smallest value? (a) -1 (b) 1/3 (c) t (d) 67
d
Let l = 1/86 - -167/430. Let m = 1 + 1/3. Which is the third smallest value? (a) m (b) l (c) -14
a
Let s = -1791.31 - -1820. Let q = 28.6 - s. Which is the smallest value? (a) 0.2 (b) q (c) -0.3 (d) 3/2
c
Let p = -1355 + 1358. What is the second smallest value in -3, -22, -2, 31, p?
-3
Let n be (-14 - -24)/(((-2)/(-10))/1). Let j be 4/n*4/4*10. What is the second biggest value in -1, -6, j, -0.03?
-0.03
Let f = -45911 + 45907. Let j = -2 + 1.5. What is the second biggest value in j, f, 2, 6?
2
Let g be ((-157)/471)/(2/(-6)*8). Let r = -0.05 + 0.11. What is the second smallest value in g, -4, r, 5?
r
Let g = 109 - 109. Let s = -0.253 - -34.253. What is the biggest value in 0.2, g, s?
s
Let z = -1006 - -5027/5. What is the second smallest value in 6, 1, -0.3, z, -3/4?
z
Let w = 2.6 - 3. Let a = 561097.9 + -561098. What is the second smallest value in a, -7, w?
w
Suppose -71*r - 140 = -50*r - 41*r. What is the fourth biggest value in 2/5, 5, r, 0, -1/5?
0
Let o be (-1)/(-1)*(-2 - 9 - 3 - -13). Which is the third smallest value? (a) -1/162 (b) -0.5 (c) o (d) 2/5 (e) 2/3
a
Suppose 0 = 4*r + 12, -75*r = -5*a - 76*r - 3. What is the smallest value in -0.2, a, 3, -0.6, -1?
-1
Let j = 1458.6 - 1457. Let t be -1*(0 + 30/3). Let v = -6 - t. What is the fourth biggest value in v, j, 2, 2/7?
2/7
Let o = -0.15006 + 0.25006. What is the smallest value in 1/228, 0, o, -9?
-9
Let g be -10*(4/(-8) - 0). Let a = 7529 + -30113/4. What is the biggest value in g, -4, a?
g
Let d = 992 + -991.94. Which is the biggest value? (a) d (b) 381 (c) 2/23
b
Suppose 31*a - 28*a - 3*m - 3 = 0, 17 = -a - 5*m. What is the biggest value in -2/61, a, 0, 1, 0.2?
1
Let l be (36/(-40) - ((-32)/(-20) + -1))*8. What is the fourth smallest value in -5, 15, l, 0, 1?
1
Let a = -2.372 + 2.572. Let q = -2 + 4. What is the smallest value in 2/29, q, -3, a?
-3
Let r = -8481/2 - -4240. Which is the fourth smallest value? (a) -0.1 (b) 1/131 (c) -2 (d) r (e) 5
b
Let i(h) = -h**3 + 5*h**2 - 2*h + 18. Let f be i(4). Suppose 18*c = f*c - 8. Let s = 1.9 + -2.3. What is the third smallest value in s, c, -0.2, -1/2?
-0.2
Suppose -16 = -2*y + 2*c, 5*c = y - 2 + 10. Let m be (-76 - -66) + y/2. What is the third smallest value in 3/7, 4/7, -60, m?
3/7
Let p = 186 - 178.1. Let d = 6.9 - p. What is the second biggest value in 2, 1/8, d, -10?
1/8
Let d = -201 - -2213/11. Let f be ((-446)/70)/(84/35). Let r = -25/12 - f. Which is the second smallest value? (a) r (b) -30 (c) d
c
Let g = 3/2026 + -9307/812426. Let u = g + 409/802. Which is the third biggest value? (a) u (b) 84/5 (c) 4
a
Let k = 182.6 - 162. Let l = 16.6 - k. Which is the smallest value? (a) -19/3 (b) 0.09 (c) l
a
Suppose -89*q - 279 = 257 - 180. What is the third biggest value in q, 2, 1, -14/9?
-14/9
Let l = -0.0298 + 351.0298. Let n = l + -426. Which is the third smallest value? (a) n (b) 0.3 (c) 0
b
Let f = 204.2 - 196.2. Let i = 150/427 - 4/61. Let o = -5 + 5.2. Which is the fourth biggest value? (a) i (b) f (c) o (d) 5
c
Let h = -20.93 - -21.23. Which is the fifth smallest value? (a) 3/2 (b) h (c) 2 (d) 1 (e) -0.1
c
Let b be 696/(-928) + (-33)/(-28). What is the third smallest value in -0.4, -97, -0.02, b?
-0.02
Let l(m) = 203*m - 12175. Let u be l(60). What is the fourth smallest value in 1, -14, u, 6, -4?
u
Let n = -95 - -96. Let j be n/4 | {
"pile_set_name": "DM Mathematics"
} |
divided by 164863.
2/164863
What is 9493 divided by 1?
9493
Calculate -874 divided by 477.
-874/477
Divide -918 by -22.
459/11
What is 22 divided by 260559?
22/260559
-15104 divided by -3776
4
What is 1342 divided by 5557?
1342/5557
What is -15 divided by 2929?
-15/2929
What is -99 divided by 43?
-99/43
-186549 divided by 2
-186549/2
What is -75516 divided by -18879?
4
Divide -10990610 by 2.
-5495305
4086264 divided by -8
-510783
Calculate 139282 divided by -10714.
-13
-298248 divided by 4
-74562
Divide 195675 by 2609.
75
-85 divided by -634
85/634
Divide -1282017 by 8063.
-159
What is 122 divided by -74?
-61/37
Divide -5622551 by -130757.
43
What is 8980 divided by 2?
4490
Calculate 46165 divided by -1319.
-35
Calculate -1041 divided by 1041.
-1
Calculate 1327976 divided by -11752.
-113
Calculate 13347 divided by -4449.
-3
-279156 divided by -139578
2
-5 divided by 74014
-5/74014
-1182976 divided by 9242
-128
-2096 divided by -9
2096/9
What is 104 divided by -22546?
-52/11273
Divide 6 by 1748.
3/874
Divide 474911 by -3.
-474911/3
Calculate -28992 divided by -1.
28992
Calculate -85 divided by -1597.
85/1597
162285 divided by 1047
155
-26 divided by -3485
26/3485
Calculate -5 divided by -19380.
1/3876
Calculate -26832 divided by 12.
-2236
What is 550010 divided by -1?
-550010
Calculate 668196 divided by -55683.
-12
Calculate 481689 divided by 23.
20943
Calculate -25716 divided by 12858.
-2
What is -204457 divided by 4?
-204457/4
3296394 divided by -2202
-1497
Calculate -5 divided by -3877.
5/3877
Divide 24447 by -10.
-24447/10
Divide 21537 by 9.
2393
Calculate 4326860 divided by 865372.
5
What is 66286 divided by -6?
-33143/3
What is -260772 divided by 6?
-43462
What is 3277 divided by -5?
-3277/5
44392 divided by -5549
-8
-5991 divided by -1
5991
Divide 10 by 2870.
1/287
What is -15690 divided by -30?
523
Calculate 108 divided by 1359.
12/151
Calculate -16774 divided by -8387.
2
2268 divided by -269
-2268/269
Calculate 2192 divided by 2192.
1
-66003 divided by 9429
-7
Calculate 6659737 divided by -135913.
-49
3899 divided by -3899
-1
Divide 787 by -305.
-787/305
Calculate -213340 divided by 106670.
-2
-287613 divided by 31957
-9
What is -356352 divided by 512?
-696
3457 divided by -139
-3457/139
1089 divided by 111
363/37
Divide -548751 by -5.
548751/5
13561 divided by -1
-13561
83 divided by -2711
-83/2711
What is 741152 divided by 1?
741152
203 divided by 3142
203/3142
Divide 63 by 20354.
63/20354
-60 divided by 4461
-20/1487
Divide 576132 by -192044.
-3
Calculate -143000 divided by 17875.
-8
Divide -33888 by 2824.
-12
What is -4 divided by -143367?
4/143367
-735 divided by -245
3
Calculate 16908 divided by -8.
-4227/2
Divide 2 by -7783.
-2/7783
Divide -780100 by 5.
-156020
What is -192610 divided by -55?
3502
What is -1855506 divided by 6?
-309251
Divide 730 by 5.
146
What is -9347 divided by 1?
-9347
Calculate -2310412 divided by -44431.
52
What is 310983 divided by 4?
310983/4
Divide -121672 by 2.
-60836
Divide 243068 by -60767.
-4
What is -9 divided by 16694?
-9/16694
What is -1780038 divided by 7607?
-234
Calculate -1458 divided by 243.
-6
1 divided by 39938
1/39938
-1570 divided by -1570
1
What is 148630 divided by -5?
-29726
What is -246 divided by -463?
246/463
Calculate 213098 divided by 2.
106549
921832 divided by 230458
4
Calculate -9098235 divided by -1819647.
5
Calculate -128 divided by 12562.
-64/6281
-137 divided by 253
-137/253
-17553 divided by -2
17553/2
What is 611682 divided by 101947?
6
Calculate -80 divided by 961.
-80/961
What is 4 divided by -5591?
-4/5591
Calculate 246544 divided by 61636.
4
Divide 30282 by -6.
-5047
Divide 3600 by 13.
3600/13
What is 715220 divided by -4?
-178805
What is 962 divided by 51?
962/51
Calculate -3962751 divided by -417.
9503
13291 divided by 13291
1
Calculate -165160 divided by -2.
82580
Calculate -173562 divided by -5.
173562/5
Divide -2514265 by -10699.
235
Divide -163508 by -3.
163508/3
Calculate 20 divided by 6256.
5/1564
Calculate 34450 divided by -130.
-265
What is 46580 divided by -170?
-274
What is -25024 divided by 6256?
-4
What is 2100622 divided by 31?
67762
What is 0 divided by 18845?
0
2 divided by 8748
1/4374
711 divided by -79
-9
What is 101600 divided by -6?
-50800/3
Calculate -535 divided by 2476.
-535/2476
Calculate 6 divided by -682.
-3/341
Calculate -19 divided by -82908.
19/82908
What is -115848 divided by -1?
115848
Calculate 111515 divided by 18.
111515/18
Divide -7515 by 5.
-1503
Calculate 466 divided by -3541.
-466/3541
Divide -41060 by 3.
-41060/3
Calculate 586305 divided by 117261.
5
-2837536 divided by 4
-709384
Divide -13751795 by -5.
2750359
Divide 2811 by 2811.
1
What is -4 divided by 837?
-4/837
Divide -4915780 by 5.
-983156
Divide -96658 by -62.
1559
-17402 divided by -8
8701/4
Divide -110934 by -55467.
2
371 divided by -527
-371/527
360115 divided by 35
10289
Divide -2353902 by -447.
5266
Divide 241388 by -233.
-1036
3 divided by -4278
-1/1426
-219 divided by -35
219/35
What is 9 divided by -503?
-9/503
Calculate 71060 divided by -10.
-7106
Calculate 1260904 divided by 5.
1260904/5
What is 16 divided by -105826?
-8/52913
-622204 divided by -5
622204/5
Calculate -1297812 divided by -1369.
948
Divide -1216892 by 4.
-304223
-855965 divided by -5
171193
What is -6070 divided by 4?
-3035/2
-202255 divided by -40451
5
Calculate -17112 divided by 16.
-2139/2
What is -53661 divided by 3?
-17887
What is -2681994 divided by -191571?
14
Divide 342745 by -26365.
-13
What is -276612 divided by -148?
1869
What is -261477 divided by 3?
-87159
Calculate 1312170 divided by 262434.
5
What is 1037 divided by 232?
1037/232
Calculate 158646 divided by 6.
26441
0 divided by -151215
0
Divide 5046 by 5.
5046/5
Divide -2 by 20873.
-2/20873
Calculate 1243727 divided by 1.
1243727
What is -292400 divided by -3400?
86
Calculate 8440 divided by 8.
1055
-384 divided by -1932
32/161
Calculate 185139 divided by -1.
-185139
Divide -340 by -1606.
170/803
Calculate -396872 divided by 4.
-99218
Calculate -89574 divided by -29858.
3
Calculate 482 divided by 14.
241/7
What is 392 divided by 709?
392/709
Divide -7808 by 3.
-7808/3
Divide -3719 by 40.
-3719/40
What is 124908 divided by -8922?
-14
Divide -71 by 314.
-71/314
Divide 89782 by -4.
-44891/2
Divide 3188 by 3.
3188/3
Calculate -21506 divided by 2.
-10753
1 divided by -1316
-1/1316
631944 divided by -2
-315972
1220 divided by -98
-610/49
Calculate -2 divided by 2618.
-1/1309
6119 divided by -29
-211
1 divided by -19714
-1/19714
Divide 1 by 7978.
1/7978
What is 3439 divided by -1?
-3439
Calculate -415400 divided by 2680.
-155
Divide 1140 by -2.
-570
Calculate -272516 divided by 193.
-1412
Calculate 38 divided by 802.
19/401
1344 divided by 455
192/65
What is -181390 divided by 5?
-36278
What is -2805 divided by 935?
-3
What is -269661 divided by 89887?
-3
-2517683 divided by -359669
7
-957 divided by -957
1
What is 187108 divided by 29?
6452
-427550 divided by -85510
5
27 divided by 1888
27/1888
What is -794 divided by 176?
-397/88
What is 2816672 divided by 4?
704168
Calculate 14456 divided by 26.
556
1786 divided by -47
-38
Divide -45 by -934.
45/934
What is 92588 divided by -46294?
-2
What is 441624 divided by 36802?
12
Divide -465750 by 207.
-2250
-889720 divided by 177944
-5
Calculate -107428 divided by 4.
-26857
What is 6758 divided by -62?
-109
What is -1816 divided by 52?
-454/13
What is 20516 divided by 23?
892
Divide 86239 by 86239.
1
Calculate 1665428 divided by 4.
416357
What is -641785 divided by 235?
-2731
Calculate -3759710 divided by 2.
-1879855
Divide -161 by -1.
161
Divide 199103 by -2.
-199103/2
What is 310620 divided by -60?
-5177
-30740 divided by 1537
-20
What is 63021 divided by 3001?
21
What is 169 divided by -3045?
-169/3045
0 divided by 93166
0
What is 109525 divided by 3?
109525/3
What is 15873 divided by 28?
15873/28
Calculate 2665680 divided by 266568.
10
-21 divided by -59475
7/19825
What is 75 divided by -226?
-75/226
What is 24123 divided by 1?
24123
What is 399993 divided by -1581?
-253
Calculate -182516 divided by -4.
45629
Divide 4878 by 16.
2439/8
Divide -1434312 by -6.
239052
Divide 216276 by -1614.
-134
Calculate -6 divided by 21051.
-2/7017
Divide 735 by -84.
-35/4
Calculate 4 divided by 2935 | {
"pile_set_name": "DM Mathematics"
} |
ve prob of picking 1 v, 1 b, and 1 m.
1/5
Calculate prob of picking 1 c and 3 m when four letters picked without replacement from mcmcccrccccmcccccrmm.
26/969
Calculate prob of picking 1 v and 3 q when four letters picked without replacement from mqqvq.
1/5
Four letters picked without replacement from {t: 6, g: 12, s: 1}. What is prob of picking 4 t?
5/1292
Three letters picked without replacement from ohshssusszhusu. What is prob of picking 1 o, 1 h, and 1 u?
9/364
What is prob of picking 2 v and 1 l when three letters picked without replacement from {l: 8, v: 2}?
1/15
Three letters picked without replacement from iiitkiitjiitijiit. Give prob of picking 1 k, 1 j, and 1 t.
1/85
Four letters picked without replacement from {j: 10, i: 3, q: 2, b: 3, y: 1}. What is prob of picking 1 i, 2 j, and 1 q?
45/646
Two letters picked without replacement from {t: 2, n: 1}. What is prob of picking 1 t and 1 n?
2/3
Three letters picked without replacement from {b: 8, p: 10, r: 1}. Give prob of picking 1 p, 1 b, and 1 r.
80/969
What is prob of picking 2 l when two letters picked without replacement from lllallllllall?
55/78
Four letters picked without replacement from {k: 2, z: 5, o: 3, i: 9}. What is prob of picking 2 o and 2 i?
9/323
What is prob of picking 1 f and 3 q when four letters picked without replacement from xifxfqgqqxf?
1/110
Three letters picked without replacement from {z: 1, b: 2, u: 1, g: 2, t: 1, n: 1}. Give prob of picking 1 n, 1 g, and 1 z.
1/28
Three letters picked without replacement from {d: 4, l: 8, a: 2, v: 4, y: 2}. Give prob of picking 2 d and 1 l.
4/95
Calculate prob of picking 2 p and 1 h when three letters picked without replacement from {f: 6, b: 2, h: 3, p: 2, k: 2}.
3/455
Two letters picked without replacement from {i: 5, j: 3, t: 3}. What is prob of picking 2 i?
2/11
Three letters picked without replacement from yccycccc. Give prob of picking 3 c.
5/14
Two letters picked without replacement from axliaalblll. What is prob of picking 1 l and 1 i?
1/11
Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {y: 2, d: 1, q: 1, b: 4}.
1/14
Three letters picked without replacement from {a: 1, w: 7}. What is prob of picking 3 w?
5/8
Two letters picked without replacement from {z: 1, b: 1, u: 1, d: 1, s: 1, p: 2}. What is prob of picking 1 u and 1 z?
1/21
Calculate prob of picking 1 w, 1 f, and 1 a when three letters picked without replacement from {x: 2, v: 1, w: 4, a: 6, f: 2}.
48/455
Four letters picked without replacement from {o: 11, x: 3, k: 4}. What is prob of picking 3 o and 1 k?
11/51
Two letters picked without replacement from nnnnnnnnnnnnynnnnyny. What is prob of picking 2 y?
3/190
Calculate prob of picking 1 b and 1 z when two letters picked without replacement from bobnznnnbnopzznbn.
3/34
Calculate prob of picking 2 j and 2 q when four letters picked without replacement from {j: 10, n: 2, q: 4}.
27/182
What is prob of picking 1 i, 1 d, and 2 z when four letters picked without replacement from gzdzidzigggggdigzmdi?
32/1615
Two letters picked without replacement from yyyyuuuyyu. What is prob of picking 1 u and 1 y?
8/15
Calculate prob of picking 4 o when four letters picked without replacement from ooyofyoyffyfoyy.
1/273
Four letters picked without replacement from uuuouioiilhuhuooulu. Give prob of picking 1 o and 3 i.
1/969
Three letters picked without replacement from atttttattttttaaa. What is prob of picking 3 t?
33/112
Four letters picked without replacement from viififiifvfii. What is prob of picking 1 v and 3 f?
8/715
Four letters picked without replacement from oomwwwomw. What is prob of picking 3 w and 1 o?
2/21
Calculate prob of picking 2 s when two letters picked without replacement from ysksoy.
1/15
Two letters picked without replacement from {m: 11, j: 2, s: 2}. What is prob of picking 1 m and 1 j?
22/105
What is prob of picking 1 k and 2 o when three letters picked without replacement from ooooookmookokookkooo?
91/228
Calculate prob of picking 3 k when three letters picked without replacement from knknkkhtkn.
1/12
What is prob of picking 2 o and 2 x when four letters picked without replacement from ovnnnxmznoxzzvxo?
9/1820
Four letters picked without replacement from kefoefkefefofokfo. What is prob of picking 1 e and 3 f?
4/119
Two letters picked without replacement from {o: 1, y: 2}. Give prob of picking 2 y.
1/3
What is prob of picking 1 m and 1 a when two letters picked without replacement from bbwwwmwwwawaw?
1/39
Calculate prob of picking 2 u and 1 h when three letters picked without replacement from {u: 4, h: 6}.
3/10
Four letters picked without replacement from {u: 1, g: 1, f: 2, a: 1, x: 4}. Give prob of picking 2 x, 1 a, and 1 g.
1/21
What is prob of picking 2 k when two letters picked without replacement from xxkyhkfh?
1/28
What is prob of picking 1 y and 1 s when two letters picked without replacement from {y: 4, s: 6}?
8/15
Three letters picked without replacement from {z: 3, i: 1, f: 1, d: 1, j: 1}. Give prob of picking 1 d, 1 f, and 1 i.
1/35
Four letters picked without replacement from {z: 2, i: 6, s: 4, a: 2, e: 1, r: 3}. Give prob of picking 1 s and 3 r.
1/765
Two letters picked without replacement from {y: 18, g: 2}. What is prob of picking 1 g and 1 y?
18/95
Two letters picked without replacement from {y: 1, a: 1, q: 2}. Give prob of picking 1 a and 1 y.
1/6
Three letters picked without replacement from bblddjejaaejblb. What is prob of picking 1 b, 1 l, and 1 e?
16/455
What is prob of picking 1 h and 3 g when four letters picked without replacement from {g: 5, h: 8, l: 3}?
4/91
Calculate prob of picking 2 j when two letters picked without replacement from {n: 1, k: 10, j: 7}.
7/51
Three letters picked without replacement from eeeteeee. Give prob of picking 3 e.
5/8
Three letters picked without replacement from wtutuawttwuwawtutw. Give prob of picking 1 a and 2 w.
5/136
Calculate prob of picking 1 x and 1 n when two letters picked without replacement from fzfxnnzzzxf.
4/55
Three letters picked without replacement from {a: 4, g: 8, h: 1}. Give prob of picking 1 h and 2 g.
14/143
Two letters picked without replacement from {w: 5, k: 14}. Give prob of picking 1 k and 1 w.
70/171
Three letters picked without replacement from yauiiyyyxaiyxiaxyyy. Give prob of picking 1 x, 1 y, and 1 u.
8/323
What is prob of picking 3 m and 1 o when four letters picked without replacement from {o: 10, m: 10}?
80/323
Two letters picked without replacement from {k: 1, u: 2, f: 1, e: 2}. What is prob of picking 2 e?
1/15
Four letters picked without replacement from {w: 14, m: 4}. What is prob of picking 2 w and 2 m?
91/510
Four letters picked without replacement from llllll. What is prob of picking 4 l?
1
Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {r: 1, l: 3}.
1/2
Two letters picked without replacement from rrrtrvjovtvobrr. What is prob of picking 1 b and 1 v?
1/35
Two letters picked without replacement from {b: 2, q: 1, u: 1, e: 2, i: 2}. What is prob of picking 2 i?
1/28
What is prob of picking 1 u and 1 t when two letters picked without replacement from tkctutukkwkukkkct?
3/34
Calculate prob of picking 1 z and 1 l when two letters picked without replacement from ujlullllzzljlzzzlllu.
5/19
Four letters picked without replacement from {y: 4, a: 6, u: 1}. What is prob of picking 3 y and 1 a?
4/55
Calculate prob of picking 3 u when three letters picked without replacement from {u: 11, f: 1}.
3/4
Two letters picked without replacement from {j: 4, r: 5, o: 2}. Give prob of picking 1 j and 1 r.
4/11
Four letters picked without replacement from {m: 1, s: 1, o: 6, n: 11}. What is prob of picking 1 o and 3 n?
165/646
Two letters picked without replacement from {c: 2, z: 1, v: 7, j: 2, n: 4}. What is prob of picking 1 j and 1 c?
1/30
What is prob of picking 1 f, 1 t, and 1 x when three letters picked without replacement from bfjxttf?
4/35
Calculate prob of picking 1 y and 2 h when three letters picked without replacement from ykkghhghkh.
1/20
Four letters picked without replacement from {l: 4, p: 3, m: 6, o: 1}. What is prob of picking 1 o and 3 m?
20/1001
Calculate prob of picking 2 t when two letters picked without replacement from tcttwtwwtlwlc | {
"pile_set_name": "DM Mathematics"
} |
10*sqrt(2) + 201
Simplify (-1*sqrt(136)*-4)/sqrt(8).
4*sqrt(17)
Simplify sqrt(272) + -3 + (sqrt(34)/sqrt(8))**2 - (-1*sqrt(425) + sqrt(425) - (sqrt(102) - (-1*sqrt(102) + sqrt(102)))/sqrt(6)).
5/4 + 5*sqrt(17)
Simplify (sqrt(931) + -1*sqrt(931) - sqrt(931))**2 + -5.
926
Simplify (sqrt(75) - 2*(-1 + sqrt(75))) + sqrt(75) + 0 + -5.
-3
Simplify -2*((sqrt(108)/sqrt(3) + sqrt(36))/sqrt(12) - (sqrt(33)/sqrt(44) + sqrt(3))).
-sqrt(3)
Simplify 6*(1*sqrt(605) - sqrt(5)).
60*sqrt(5)
Simplify (sqrt(432)*1)**2*-2 + -1.
-865
Simplify (0 + sqrt(125) + sqrt(125))*4 + -5.
-5 + 40*sqrt(5)
Simplify sqrt(228)/(sqrt(12)*1) + -4.
-4 + sqrt(19)
Simplify ((sqrt(130) + sqrt(130) + sqrt(130)*4*-5)/sqrt(10))**2.
4212
Simplify -1 + (sqrt(7) - (sqrt(7) + (sqrt(63) - (sqrt(1008) + sqrt(63))))) + sqrt(7).
-1 + 13*sqrt(7)
Simplify (-1*sqrt(3146))/sqrt(2)*3.
-33*sqrt(13)
Simplify (sqrt(5) - ((sqrt(405) + (-3*sqrt(405) - sqrt(405)))**2 - sqrt(5))) + -2*(sqrt(5) + 1).
-3647
Simplify (-5 + sqrt(833)*1 + sqrt(833) + -5*(sqrt(833) + sqrt(833) + (sqrt(833) - (sqrt(833) - (sqrt(833) - (sqrt(833) + 1))))) + sqrt(833) + sqrt(833))**2.
29988
Simplify (4*sqrt(304))**2 - (sqrt(2299) + (sqrt(2299) + 0 - sqrt(2299)) + sqrt(2299))**2 - ((sqrt(95)/(sqrt(15)/sqrt(3)) - sqrt(19)) + -3).
-4329
Simplify -3 + sqrt(325)*-3.
-15*sqrt(13) - 3
Simplify sqrt(17)*3 + -1 - (sqrt(17) + 2 + -5).
2 + 2*sqrt(17)
Simplify (sqrt(425) + 1)**2*-5.
-2130 - 50*sqrt(17)
Simplify sqrt(468)*-4 + 1.
-24*sqrt(13) + 1
Simplify sqrt(72) + 5*(-1 + sqrt(72)) + 6*(sqrt(6)/sqrt(3) + -5).
-35 + 42*sqrt(2)
Simplify (5*(sqrt(102) - (sqrt(102) - (sqrt(102) + sqrt(102) + -2*sqrt(102)))) + sqrt(102))/sqrt(6).
sqrt(17)
Simplify sqrt(153) + -5 + sqrt(17) - (-1 + sqrt(2448)).
-8*sqrt(17) - 4
Simplify 5*-1*(-3 + (sqrt(5) + sqrt(5)*-1)**2).
15
Simplify ((sqrt(60)/sqrt(2) + sqrt(30))*2)/((sqrt(486)*-4 - sqrt(486)) + sqrt(6)).
-sqrt(5)/11
Simplify sqrt(171) - (-5*sqrt(171)*-2)**2.
-17100 + 3*sqrt(19)
Simplify ((sqrt(99)*3)/sqrt(9))**2 + sqrt(77)/(sqrt(7) + sqrt(35)/sqrt(5)).
sqrt(11)/2 + 99
Simplify ((2*sqrt(104) - sqrt(104))/sqrt(8) + 2)**2.
4*sqrt(13) + 17
Simplify -4 + -4*(sqrt(17) + (-2*sqrt(17))**2).
-276 - 4*sqrt(17)
Simplify 5*sqrt(12)/sqrt(4) - ((sqrt(12)*-5)/sqrt(4) - sqrt(3))**2.
-108 + 5*sqrt(3)
Simplify sqrt(2299)*1 - (3*sqrt(190)/sqrt(10))**2.
-171 + 11*sqrt(19)
Simplify (sqrt(11) + sqrt(44))*6 + sqrt(11) + 4*1*sqrt(11) - ((sqrt(88) - (sqrt(88) + (sqrt(88) - sqrt(88)*-2) + sqrt(88) + sqrt(88)))*-6)/sqrt(8).
-7*sqrt(11)
Simplify (sqrt(17) - ((sqrt(68) - sqrt(17))**2 + -3)) + 1.
-13 + sqrt(17)
Simplify -1 + (sqrt(80)*-2)**2 + sqrt(80) + sqrt(80)*-1 + -3.
316
Simplify (2*sqrt(66)*-6 - sqrt(66))/sqrt(6)*2.
-26*sqrt(11)
Simplify 3*(-3*(sqrt(17)*-2)**2 + -2).
-618
Simplify sqrt(19) + -1*sqrt(171) + (sqrt(19) - (sqrt(152)*-1)/sqrt(8)).
0
Simplify -3 + (-1*sqrt(704))**2*-6.
-4227
Simplify sqrt(18)/(sqrt(42)/(sqrt(7)*1)).
sqrt(3)
Simplify -3 + ((sqrt(80) - sqrt(80)*-1)**2 - sqrt(80))*-2.
-643 + 8*sqrt(5)
Simplify ((4*sqrt(90)/sqrt(3) + sqrt(30))/((sqrt(10) - (-1*sqrt(10) - sqrt(10))*1) + sqrt(10)))**2.
75/16
Simplify sqrt(11) - (sqrt(11) - (-1 + sqrt(1584)))**2 - (1 + sqrt(44)/sqrt(4) + sqrt(11))**2.
-1377 + 19*sqrt(11)
Simplify (6*(1 + sqrt(7)) - (-3 + -2*sqrt(7))) + -5.
4 + 8*sqrt(7)
Simplify -2 + sqrt(99) + -5*sqrt(11)*-2 + sqrt(11).
-2 + 14*sqrt(11)
Simplify (1*(0 + sqrt(57)/sqrt(3) + sqrt(19)))**2.
76
Simplify (sqrt(135)/sqrt(3)*-5 - sqrt(45))/(sqrt(9) + sqrt(900)*2).
-2*sqrt(5)/7
Simplify sqrt(156)/(3*sqrt(12)*2) - (-6*sqrt(26)/sqrt(2) - sqrt(104)/(-2*sqrt(8)))**2.
-1573/4 + sqrt(13)/6
Simplify (sqrt(171)*-1*2 - sqrt(171))/sqrt(9).
-3*sqrt(19)
Simplify (-1 + sqrt(1872))**2 + -2 - sqrt(1872).
-36*sqrt(13) + 1871
Simplify -5*sqrt(1300)*2*-2.
200*sqrt(13)
Simplify 0 + ((2*(-1 + sqrt(98) + sqrt(98)) + sqrt(98))**2 - sqrt(98)).
-147*sqrt(2) + 2454
Simplify -2*sqrt(117) + ((sqrt(91) + (sqrt(91) + -1*sqrt(91) - sqrt(91)) - sqrt(91))/sqrt(7))**2.
-6*sqrt(13) + 13
Simplify ((sqrt(1512) - (sqrt(1512)*2 + sqrt(1512) - sqrt(1512)))/(sqrt(60)/(2*sqrt(10))))**2.
1008
Simplify sqrt(832) - ((sqrt(832) + 1)*-2)**2 - (3 + sqrt(832) + 0).
-3335 - 64*sqrt(13)
Simplify sqrt(51)/(4*sqrt(3)) - (sqrt(17) + (-3*sqrt(68))**2).
-612 - 3*sqrt(17)/4
Simplify (-1*sqrt(72) + sqrt(18))*4.
-12*sqrt(2)
Simplify (sqrt(105)/(sqrt(3) - -2*sqrt(3)))/(sqrt(45)*6).
sqrt(7)/54
Simplify (1 + sqrt(363) + -3)**2 - ((sqrt(363) - (sqrt(363) - (sqrt(363) + -1 - sqrt(363))))**2 + sqrt(363))*5.
-99*sqrt(3) + 362
Simplify ((sqrt(17) + 0 + 3 - sqrt(17)) + 1)**2.
16
Simplify (1*sqrt(204)*2)/sqrt(12).
2*sqrt(17)
Simplify sqrt(11) + sqrt(55)/(sqrt(5)*-2 + sqrt(5)) + (-1 + sqrt(22)/sqrt(2))**2.
-2*sqrt(11) + 12
Simplify -5 + -2 + (sqrt(128) + 0 - (-1 + sqrt(162))).
-6 - sqrt(2)
Simplify (sqrt(85)*3)/sqrt(5) - (2 + sqrt(17) + (sqrt(17) + 2*sqrt(17))**2).
-155 + 2*sqrt(17)
Simplify (1*(sqrt(153) - sqrt(153)*-1))/sqrt(9) + (sqrt(17) - sqrt(136)/sqrt(72))*-6.
-2*sqrt(17)
Simplify (-4*sqrt(225))/sqrt(3).
-20*sqrt(3)
Simplify (sqrt(1100) + 0 + -2)**2.
-40*sqrt(11) + 1104
Simplify (sqrt(432)*2 + sqrt(432))/sqrt(9).
12*sqrt(3)
Simplify 5*(sqrt(7) - ((sqrt(70)/sqrt(10) + -1 + sqrt(7) - sqrt(7))**2 + sqrt(7))).
-40 + 10*sqrt(7)
Simplify 0 + sqrt(612) - (-3 + sqrt(17)*-2).
3 + 8*sqrt(17)
Simplify sqrt(12)/sqrt(150) - (2 + sqrt(162)).
-44*sqrt(2)/5 - 2
Simplify (((sqrt(272) - (sqrt(272) - 1*sqrt(272))) + sqrt(272))*-2 + -3*(sqrt(272)*-1 - sqrt(272)))**2.
1088
Simplify (-3 + -2 + sqrt(1584) + sqrt(1584))**2*4.
-960*sqrt(11) + 25444
Simplify (1*(sqrt(121) - (sqrt(121)*-2 - sqrt(121) - sqrt(121))) + sqrt(121))/(sqrt(176)*1).
3*sqrt(11)/2
Simplify sqrt(140)/sqrt(7) - -5*sqrt(125).
27*sqrt(5)
Simplify 6*(4 + (sqrt(18) - sqrt(2))).
12*sqrt(2) + 24
Simplify -1 + sqrt(45)/(sqrt(63)/(sqrt(14)/sqrt(2))).
-1 + sqrt(5)
Simplify (sqrt(1872) - -6*sqrt(1872)*1)**2 - (sqrt(1872) + sqrt(1872)*-3 + -3 + sqrt(1872)).
12*sqrt(13) + 91731
Simplify -4*(sqrt(171) + sqrt(171) + (sqrt(171) - (3 + sqrt(171)*-2)))**2 + -3.
-17139 + 360*sqrt(19)
Simplify (-3*sqrt(102))/sqrt(6) - (-1*sqrt(17)*-3)**2.
-153 - 3*sqrt(17)
Simplify 5 + sqrt(19)*2 + -1.
4 + 2*sqrt(19)
Simplify (-1*sqrt(3) + 1)**2 + sqrt(3) + -2 + sqrt(3) + -3.
-1
Simplify (sqrt(22) + sqrt(88)/(sqrt(16)/sqrt(4)) - sqrt(22))/(sqrt(11) - sqrt(891)*1).
-sqrt(2)/8
Simplify (sqrt(57)/sqrt(3)*4)**2 + sqrt(19) + (sqrt(2736)*1 - sqrt(19)).
12*sqrt(19) + 304
Simplify (sqrt(77)/(sqrt(7)*-2) + (sqrt(11) - (5 + sqrt(11) + -2 + sqrt(11))) + -4)**2.
21*sqrt(11) + 295/4
Simplify (sqrt(19) - sqrt(76)/sqrt(4))**2*-4*-5 + (-3*2*sqrt(76))/sqrt(4).
-6*sqrt(19)
Simplify (-1*-1*sqrt(448))**2 - (sqrt(448) - (2 + sqrt(448) + -1 + sqrt(448)) - sqrt(448))**2.
-1345 - 32*sqrt(7)
Simplify (sqrt(76) - (sqrt(76) - (0 + sqrt(76) + sqrt(76))))**2 - (-1 + (sqrt(19) - (1 + sqrt(19)))).
306
Simplify ((-5 + sqrt(2299) + 0)*-6)**2.
-3960*sqrt(19) + 83664
Simplify ((sqrt(2057) + 4*(0 + sqrt(2057)) - (sqrt(2057) - (0 + 0 + sqrt(2057)))) + -4)**2.
-440*sqrt(17) + 51441
Simplify (-3*-3*sqrt(187) + sqrt(187))/sqrt(11).
10*sqrt(17)
Simplify (3*1*sqrt(187) - sqrt(187))/(sqrt(55)/(sqrt(15)/sqrt(3))).
2*sqrt(17)
Simplify ((-1 + sqrt(50) - sqrt(2)) + 0)**2.
-8*sqrt(2) + 33
Simplify -4*(sqrt(128) + sqrt(14)/(sqrt(7)*2 + sqrt(7))).
-100*sqrt(2)/3
Simplify (0 + sqrt(17) + sqrt(51)/sqrt(3))*5.
10*sqrt(17)
Simplify sqrt(112)*-4 + 1 + sqrt(847) + sqrt(7).
-4*sqrt(7) + 1
Simplify -2 + sqrt(44)/(sqrt(48)/((sqrt(12) - sqrt(12)*-1) + sqrt(12))).
-2 + 3*sqrt(11)
Simplify -6*sqrt(6)/sqrt(3) + (5 + sqrt(18))**2.
24*sqrt(2) + 43
Simplify 1 + (sqrt(550) - sqrt(550)*1 - sqrt(550))/sqrt(11).
-5*sqrt(2) + 1
Simplify ((sqrt(504) - (sqrt(504) - (-2*sqrt(504) - sqrt(504)))*3) + sqrt(504))/sqrt(8).
-30*sqrt(7)
Simplify -4 + (sqrt(17) - -5*sqrt(102)/sqrt(6)).
-4 + 6*sqrt(17)
Simplify sqrt(68)*1 + -3 + sqrt(17)*2 + sqrt(17) + 4.
1 + 5*sqrt(17)
Simplify sqrt(78)/(sqrt(294)*-3).
-sqrt(13)/21
Simplify (sqrt(1792) + -1)**2.
-32*sqrt(7) + 1793
Simplify 4 + (1*sqrt(1872))**2 + sqrt(13)*2 + 1.
2*sqrt(13) + 1877
Simplify 2 + (sqrt(17)*-1*1 + sqrt(17) + sqrt(17) - (-2*sqrt(17) - sqrt(17))*-4).
-11*sqrt(17) + 2
Simplify ((sqrt(55) + sqrt(880))*3)/(6*sqrt(99)).
5*sqrt(5)/6
Simplify (sqrt(19)*-2 + -2)**2*-5.
-400 - 40*sqrt(19)
Simplify | {
"pile_set_name": "DM Mathematics"
} |
(s) + w(s). What is the third derivative of p(z) wrt z?
3360*z**3
What is the third derivative of 4*x**2 + 8*x**5 + 7*x + 0*x**2 - 7*x wrt x?
480*x**2
Let l(b) be the second derivative of b**8/1680 + b**7/2520 + b**4/12 + 2*b. Let x(m) be the third derivative of l(m). Find the third derivative of x(q) wrt q.
24
Let k(z) = -z**3 + 8*z**2 - 6*z - 3. Let d be k(7). Suppose -p = d*p - 15. What is the second derivative of 3*a + a + p*a**4 - 2*a wrt a?
36*a**2
Let s(f) be the third derivative of -f**8/84 - 3*f**5/10 + 11*f**2. What is the third derivative of s(k) wrt k?
-240*k**2
Let x(i) = 8*i**2 - 5*i. Let d(z) = -33*z**2 + 21*z. Let b(r) = -6*d(r) - 26*x(r). Find the second derivative of b(a) wrt a.
-20
Let d(o) be the first derivative of -3*o**4/2 + 8*o + 11. What is the first derivative of d(r) wrt r?
-18*r**2
Let z = 5 + 0. Let d(h) = -5*h**2 + 2. Let x(f) = -5*f**2 + 1. Let k(i) = z*x(i) - 4*d(i). Differentiate k(r) wrt r.
-10*r
Let m(x) = x + 1. Let o be -2 - (0 + 4)/(-2). Let q(c) = -2*c + o - 3 + 1. Let d(v) = 3*m(v) + q(v). What is the first derivative of d(k) wrt k?
1
Let q = 84 + -78. Let d(j) be the third derivative of 0 + j**2 + 1/6*j**3 + 0*j**4 + 0*j**5 + 0*j**q - 1/70*j**7 + 0*j. What is the derivative of d(s) wrt s?
-12*s**3
Let h(u) be the first derivative of u**5/10 - u**4/24 - 3*u**2/2 - 1. Let m(j) be the second derivative of h(j). What is the second derivative of m(i) wrt i?
12
Let b(f) be the second derivative of -2*f**4/3 - 10*f**2 + 7*f. Differentiate b(z) with respect to z.
-16*z
Let i(m) be the first derivative of -m**3/3 + m**2/2 + m - 3. Let u(s) be the first derivative of i(s). Find the first derivative of u(l) wrt l.
-2
What is the first derivative of -4 - 4*u**2 - 276*u**3 + 4*u**2 + 261*u**3 wrt u?
-45*u**2
Let u(a) = 9*a**3 + 3*a**2. Let v(x) = 3*x**3 + x**2. Let o(r) = 6*u(r) - 17*v(r). Find the third derivative of o(d) wrt d.
18
Let p(t) be the second derivative of t**6/5 - 3*t**3 - 8*t. What is the second derivative of p(u) wrt u?
72*u**2
Let i(n) = -n**2 - 5*n + 8. Let m be i(-6). What is the derivative of -1 + 2*y**4 - y**m - 1 + y**2 wrt y?
8*y**3
Let c = 4 - 0. Suppose -y + 0*y = -3. What is the second derivative of -5*u**y + u**3 + c*u**3 - u + 2*u**4 wrt u?
24*u**2
Let z = -5 + 8. Let w(r) = -r**3 - 20*r**2 - r - 17. Let d be w(-20). What is the third derivative of 0*p**2 + 3*p**d + p**2 - 5*p**z - p**3 wrt p?
-18
Let f(u) be the third derivative of u**6/120 - u**5/30 + 8*u**2. Find the third derivative of f(x) wrt x.
6
Suppose 5*o - o - 12 = 0, -15 = -2*v - 3*o. Find the second derivative of -3*g**3 - g**3 + v*g - 4*g**3 wrt g.
-48*g
Suppose -g = 3*g - j - 4, 2*g + 4 = 2*j. Suppose g*f - 2*r + 4 = -0, 2*f - 5*r + 16 = 0. Differentiate n**f - 3 - 1 + 3 with respect to n.
2*n
Let m(n) be the third derivative of 13*n**7/210 - 5*n**3/2 - 10*n**2. What is the derivative of m(j) wrt j?
52*j**3
Let b(x) be the first derivative of -2*x**4 - 9*x**2/2 - 4. Find the second derivative of b(z) wrt z.
-48*z
Let m(s) be the second derivative of -7*s**5/10 + s**2/2 - 7*s. What is the first derivative of m(q) wrt q?
-42*q**2
Find the third derivative of -x**2 - 5*x**4 - x**2 + 0*x**4 + x**4 wrt x.
-96*x
Let l(b) = b**2 - 12*b + 5. Let q be l(12). What is the third derivative of j**q - 5*j**2 + j**2 + j**5 + 5*j**2 wrt j?
120*j**2
Let i(q) = 15*q. Let w be i(1). Suppose 0 = 5*u - w, 0 = -4*g - 5*u + u + 20. Find the second derivative of -g*d + d**2 - 3*d**2 + d**2 wrt d.
-2
Let m(w) be the third derivative of -w**8/6720 + w**7/630 - w**4/8 - w**2. Let n(y) be the second derivative of m(y). Find the third derivative of n(k) wrt k.
-6
Suppose -5*q = -8 - 12. Suppose -3*o + 1 = w + 6, -25 = -q*w + 3*o. What is the derivative of w*a - 2 + 0 - 2*a wrt a?
2
Let j(l) be the second derivative of 0*l**2 + 0 + 1/4*l**4 - 2*l + 1/3*l**3. What is the second derivative of j(x) wrt x?
6
Find the second derivative of -10*l**3 + 0*l + 2*l**3 + l wrt l.
-48*l
Suppose 0 = 3*p + 1 - 7. What is the derivative of -q + 3*q - p*q + 1 + 2*q**3 wrt q?
6*q**2
Find the third derivative of 18*b**4 + 4*b**2 - 26*b**4 - 9*b**2 wrt b.
-192*b
Let h(c) = -3*c + 9. Let j(u) = 1. Suppose -5*l - 2*z + 66 = 0, 3*z = 3*l - 0*z - 27. Let p(a) = l*j(a) - h(a). Find the first derivative of p(v) wrt v.
3
Let l(a) be the first derivative of -a**7/70 + a**3/3 + a**2/2 - 3. Let d(w) be the second derivative of l(w). What is the first derivative of d(i) wrt i?
-12*i**3
Let b(t) = t**2 + 10*t + 12. Let h be b(-8). Let n be 4 + -2 + -4 - h. Find the first derivative of -x**n + x**2 + 1 - 3*x**3 wrt x.
-9*x**2
Let p(o) be the first derivative of 0*o + 4/5*o**5 + 0*o**4 + 2*o**2 + 0*o**3 + 3. Find the second derivative of p(m) wrt m.
48*m**2
Let m(j) be the second derivative of 2*j**7/105 - j**5/15 - 3*j**2/2 - 2*j. Let w(n) be the first derivative of m(n). Find the third derivative of w(y) wrt y.
96*y
Let b(q) = -2*q - 2. Let j be b(-2). What is the first derivative of -j + 3*n**2 - 3*n**2 - 2*n**3 wrt n?
-6*n**2
Let p(k) be the second derivative of 19*k**4/6 - 7*k**3 - 11*k + 2. Find the second derivative of p(d) wrt d.
76
Let h(y) = -y**4 - y**3 - y**2. Let l(n) = -n**6 + n**4 + n**3. Let g(p) = 2*h(p) + 2*l(p). Find the third derivative of g(r) wrt r.
-240*r**3
Let l(c) be the second derivative of -27*c**5/20 + 11*c**3/3 + 30*c. What is the second derivative of l(y) wrt y?
-162*y
Let g(x) be the second derivative of -4*x + 0 + 0*x**3 + 0*x**4 + 1/10*x**5 - 3*x**2. What is the first derivative of g(q) wrt q?
6*q**2
Let b = -4 + 6. Let d be 3*(1 - b/6). Find the second derivative of d*j**2 + 3*j - 2*j**2 + 2*j**5 wrt j.
40*j**3
Find the third derivative of -29*z**5 + 3*z**2 + 25*z**5 + z**2 wrt z.
-240*z**2
What is the first derivative of -6 - 5 - 2*a + 4 wrt a?
-2
Let i(p) be the third derivative of -p**6/10 - p**5/60 + 23*p**3/6 + 36*p**2. Find the third derivative of i(t) wrt t.
-72
Let y(t) be the first derivative of 4*t + 2 - 3/2*t**2. What is the first derivative of y(i) wrt i?
-3
Let v be (-3)/(0 + 1 + -2). Find the second derivative of -149 - q + 149 - v*q**5 wrt q.
-60*q**3
Let j(p) be the first derivative of -24*p**5/5 + 14*p - 9. Differentiate j(f) wrt f.
-96*f**3
What is the third derivative of 45*r**2 - 9*r**6 - 50*r**2 + 0*r**6 wrt r?
-1080*r**3
Let n(m) be the third derivative of 13*m**4/24 + m**3 - 3*m**2. Find the first derivative of n(g) wrt g.
13
Let x(m) be the first derivative of 0*m**5 + m**3 + 0*m + 3 + 0*m**2 + 1/3*m**6 + 0*m**4. Find the third derivative of x(j) wrt j.
120*j**2
Let b(v) be the second derivative of 11*v**3/6 - 2*v**2 - 13*v. Differentiate b(i) with respect to i.
11
Find the third derivative of 27*p**2 + 227 - 227 - 7*p**3 wrt p.
-42
Let s(y) = -y**2 + 9*y - 4*y + 2*y**2 - 10. Let v be s(-7). Find the third derivative of 3*l**3 - l**v - 3*l**3 + l**2 wrt l.
-24*l
Let q(f) be the second derivative of -f**8/14 + 3*f**4/4 + 11*f. Find the third derivative of q(v) wrt v.
-480*v**3
Let k be -1 - (64/(-12))/4. Let q(a) be the first derivative of a**2 + 2 + k*a**3 + 0*a. What is the second derivative of q(s) wrt s?
2
Let y be (0 - 3) + 7/(-7). Let u be (y + 2 - -5) + -1. Find the second derivative of -2*h**4 - h + 5*h**4 - 5*h**4 - u*h wrt h.
-24*h**2
Let l(c) be the second derivative of -5*c**9/504 + c**5/30 - c**2/2 - 2*c. Let i(s) be the first derivative of l(s). Find the third derivative of i(v) wrt v.
-600*v**3
Let w(r) = 6*r**4 - 7*r**2 - 24*r. Let c(q) = 2*q**4 - 2*q**2 - 8*q. Let k(m) = -7*c(m) + 2*w(m). Find the second derivative of k(i) wrt i.
-24*i**2
Let u(f) = f**3 + 8*f**2 - 8*f + 11. Let y be u(-9). Find the third derivative of 5*s**4 + 4*s**2 - 6*s**y - 7*s**4 wrt s.
-48*s
Let p(h) be the first derivative of -10*h**6/3 + 7*h**3 - 15. Find the third derivative of p(x) wrt x.
-1200*x**2
Let g(w) = -4*w**2 - 57*w + 11. Let c(j) = j**2 + 19*j - 4. Let v(y) = -11*c(y) - 4*g(y). What is the second derivative of v(d) wrt d?
10
Suppose v + 12 = 5*v. Differentiate 7*k**2 - v*k**2 - k**2 + 3 with respect to k.
6*k
Let f = 11 - 8. Let n = -1 + f. Find the first derivative of -4 + y**n + y**2 + 6 wrt y.
4*y
Let h(l) be the second derivative of -l + 0 + 0*l**3 + 0*l**2 - 1/20*l**5 + 1/12*l**4. What is the third derivative of h(i | {
"pile_set_name": "DM Mathematics"
} |
q + 43834*q**3 + 5*q**5 wrt q.
-6180*q**3
Let y(r) be the second derivative of -23*r**5/10 + r**4/12 + 35*r**3/3 - 11*r - 3. What is the second derivative of y(n) wrt n?
-276*n + 2
Let h be ((-3)/(-6))/(7/70). What is the third derivative of -22*d**h + 0*d**4 + 0*d**4 + 25*d**5 + 12*d**2 wrt d?
180*d**2
Find the first derivative of 175 - 115*r**4 - 140445*r + 140445*r wrt r.
-460*r**3
Suppose -2*h - 2 = 4. Let z be (6/h)/(2/(-3)). What is the second derivative of j**z - j + 6*j - 5*j**3 wrt j?
-24*j
Let v = 17 - 13. Suppose -v*p - p + 15 = 0. What is the third derivative of 8*y**2 + 22*y**p - 22*y**3 + 8*y**6 wrt y?
960*y**3
Let q be 10/(-4)*-1*10. Suppose 5*m - 22*s - 172 = -25*s, 4*s = 4*m - 112. Differentiate -1 + m*r**3 - q*r**3 + 2 - 2 with respect to r.
21*r**2
Suppose 8*r - 9*r + 7 = 0. Find the first derivative of 171*h - 1 + r*h**3 - 171*h - 3*h**3 wrt h.
12*h**2
What is the first derivative of 40*s**4 - 53*s**4 - 14 + 65*s**4 wrt s?
208*s**3
Let m be (65/2 - 2) + 2/4. Find the second derivative of -33*t**5 - m*t**5 - 14*t + 22*t**5 wrt t.
-840*t**3
Suppose 12 - 6 = z. Let u = z + -4. Find the third derivative of 6*f**4 - 4*f**4 + 3*f**2 + 3*f**u wrt f.
48*f
Let h(z) be the second derivative of -13/6*z**4 + 0*z**5 + 1/21*z**7 + 0*z**3 + 0 + 0*z**6 - 2*z + 0*z**2. What is the third derivative of h(s) wrt s?
120*s**2
Let h(c) = -4*c + 10*c - 4*c - 5*c. Let g(v) = -v**3 - v - 1. Let q = -8 - -2. Let i(r) = q*g(r) + 2*h(r). What is the first derivative of i(w) wrt w?
18*w**2
Let s(i) be the first derivative of -97*i**6/2 + 66*i**3 - 2*i + 135. Find the third derivative of s(q) wrt q.
-17460*q**2
Let y(s) be the second derivative of s**3 - 3*s**4 + 212*s**2 + 5*s**3 - 31*s - 212*s**2. Find the second derivative of y(b) wrt b.
-72
Suppose -a + 5 = 1. Suppose -g + 2*s = -2*g + a, s = 3*g - 5. What is the third derivative of x**g - 8*x**2 - 3*x**5 + 4 - 4 wrt x?
-180*x**2
Let z(p) be the first derivative of p**5/5 + 7*p**4/6 - 11*p + 3. Let r(g) be the first derivative of z(g). Find the third derivative of r(o) wrt o.
24
Let q be 46/4 - (-2 - 7/(-2)). Find the second derivative of 17*b**2 - 7*b**2 + q*b - 2*b + 15*b**2 wrt b.
50
Suppose -2*b = 2*b - 4. Let q = b + 2. Differentiate -4*v**3 + 4 + 11*v**q - 3*v**3 wrt v.
12*v**2
Let h(d) be the third derivative of 0*d**3 - 1/10*d**6 + 11*d**2 + 5/12*d**4 + 0*d**5 + 0*d + 0. What is the second derivative of h(v) wrt v?
-72*v
Let x(p) = 46*p**2 + 67*p + 2. Let c(b) = 136*b**2 + 202*b + 5. Let k(u) = -4*c(u) + 11*x(u). Find the second derivative of k(o) wrt o.
-76
Let i(q) be the third derivative of 0*q**6 - 1/56*q**8 + 5*q**2 - 3/20*q**5 + 0*q**4 + 0*q**3 + 0 + 0*q**7 + 0*q. Find the third derivative of i(a) wrt a.
-360*a**2
Let a(f) = 3*f**2 - 21*f - 5. Let w = 32 + -36. Let c(h) = 3*h**2 - 20*h - 4. Let b(s) = w*a(s) + 5*c(s). Find the second derivative of b(k) wrt k.
6
Let q(i) be the second derivative of -11*i**6/2 + i**3/6 + 55*i**2 - 12*i + 2. What is the second derivative of q(a) wrt a?
-1980*a**2
Let i = 195 + -193. Let b(v) be the first derivative of 0*v**4 + v**3 + 0*v + 0*v**i - 3 + 1/7*v**7 + 0*v**5 + 0*v**6. Find the third derivative of b(c) wrt c.
120*c**3
Let b(l) be the second derivative of -77*l**5/10 + l**4/3 + l**3/2 + 193*l. Find the third derivative of b(y) wrt y.
-924
Let v(f) = -f**2 - 11*f - 13. Let m be v(-9). Suppose -d - 12 = -m*d. What is the second derivative of -2*c - c**3 + 2*c**3 + 2*c**d wrt c?
18*c
Let m(i) = 636*i**3 - 112*i**2 + 28*i - 20. Let t(r) = 91*r**3 - 16*r**2 + 4*r - 3. Let h(d) = 3*m(d) - 20*t(d). What is the third derivative of h(x) wrt x?
528
Let l be ((-16)/8 + 5 - 3)/1. Let i(u) be the third derivative of -5/6*u**3 + 13/24*u**4 + l*u + 0 + 2*u**2. What is the first derivative of i(q) wrt q?
13
What is the third derivative of 23 + k**3 - k**3 + 620*k**5 - 562*k**5 + 2*k**2 wrt k?
3480*k**2
Let r(m) = -695*m + 46. Let l(h) = 1401*h - 93. Let o(b) = 6*l(b) + 13*r(b). What is the derivative of o(x) wrt x?
-629
Suppose 62 = 4*m + 42. Suppose 9 = 5*l - 1. Find the second derivative of -6*g + 6*g**5 + l*g + g**5 - 8*g**m wrt g.
-20*g**3
Suppose 1 + 1 = 5*u - x, 4*x - 8 = 4*u. Suppose w + 2*f - 24 = u, -5*w = -5*f - 110. Find the second derivative of -w*l**5 + 24*l**5 - l - 2*l wrt l.
20*l**3
Differentiate 0*f - f - 121*f**3 + 296 - 16*f**3 with respect to f.
-411*f**2 - 1
What is the third derivative of -5*x**2 - 2 + 9 + 6 - 11 + 150*x**3 wrt x?
900
Let q(j) be the third derivative of 34*j**7/35 - 83*j**3/3 - 497*j**2. What is the derivative of q(o) wrt o?
816*o**3
Suppose a + 8 = 4*q - 2, 0 = -4*q - 3*a + 18. What is the second derivative of -30*f**3 + 10*f**3 + 4*f**3 - 27*f - 19*f**q wrt f?
-210*f
Let l(k) be the third derivative of 23*k**6/40 + k**3/6 + 170*k**2. Find the first derivative of l(w) wrt w.
207*w**2
Let q(k) be the first derivative of 6*k**5/5 + 8*k**3/3 - 17*k - 11. Let x(f) be the first derivative of q(f). Find the second derivative of x(g) wrt g.
144*g
Let t = -29 + 31. What is the second derivative of 3*z + 0*z**2 - 4*z**t + 4*z**2 - 7*z**4 wrt z?
-84*z**2
Let l(u) be the second derivative of 0*u**3 + 0 - 12*u**2 + 37*u - 31/12*u**4. What is the first derivative of l(f) wrt f?
-62*f
Let r = -291 - -296. Let i(u) be the third derivative of u**2 - 5/24*u**4 + 1/60*u**r + 0 + 0*u + 0*u**3. What is the second derivative of i(g) wrt g?
2
Let m(d) be the first derivative of 99*d**4/4 - d**3/3 + 5*d**2 - 24. Find the third derivative of m(o) wrt o.
594
Suppose -2*c = -2*d - 6, -c - c = d - 9. Suppose 10 = -c*l + 6*l. Differentiate -5 - 8 + 4 - 10*o**2 + l*o**2 wrt o.
-10*o
Let q(p) be the first derivative of 11/4*p**4 + 0*p**3 + 0*p**2 - 1 + 11*p. Differentiate q(r) wrt r.
33*r**2
Let w(k) be the third derivative of -703*k**5/60 + 203*k**4/24 - 662*k**2. Find the second derivative of w(u) wrt u.
-1406
Suppose 6*m = 2 - 86. Let y = m + 19. Find the third derivative of -3*h**y + h**5 - 13*h**2 + 12*h**2 wrt h.
-120*h**2
Suppose 0 = -n + 2*o + 17 + 11, 0 = -3*o. What is the second derivative of -11*u + 25 + 4*u**4 + n - 53 wrt u?
48*u**2
Suppose 2*h + t - 7 = 0, -2*h + 7*h - 3*t - 23 = 0. What is the second derivative of -20*p**3 + 9*p - 4*p - 3*p + h*p wrt p?
-120*p
Suppose 0 = -3*h + 18 - 3. What is the third derivative of 0*g**5 + 7*g**5 + 4*g**h - 3*g**2 + 0*g**5 wrt g?
660*g**2
Let l(d) be the second derivative of 0*d**5 + 0 - 1/10*d**6 + 0*d**2 - 11*d + 2/3*d**4 + 0*d**3. What is the third derivative of l(x) wrt x?
-72*x
Find the third derivative of -61*x**3 - 2*x**6 + 61*x**3 - 27*x**4 + 51*x**2 wrt x.
-240*x**3 - 648*x
Suppose -k = 3*k + 4*i, -i - 12 = -2*k. Find the third derivative of -19*n**4 + 3*n**k + 23*n**2 - 10*n**2 wrt n.
-384*n
Let l(m) = -129*m**3 - 5*m**2 + 5*m - 105. Let f(u) = 131*u**3 + 6*u**2 - 6*u + 104. Let r(w) = 5*f(w) + 6*l(w). Differentiate r(i) with respect to i.
-357*i**2
Let w be 0*3*(-6)/(-18). Let l(p) be the third derivative of -1/20*p**5 - 5/6*p**3 + w*p + 0*p**4 - 5*p**2 + 0. Differentiate l(t) wrt t.
-6*t
Let n(u) = 364*u**2 - 561*u + 12. Let f(g) = -g**2 - g - 2. Let t(a) = -6*f(a) - n(a). What is the second derivative of t(o) wrt o?
-716
Let m = 6 - 3. What is the third derivative of 13*a**2 - 10*a**3 + m - 23*a**2 - 3 wrt a?
-60
Let o(h) = 27*h - 18. Let v be o(16). Differentiate -202*z + 15 - 171*z + v*z with respect to z.
41
Let f(a) be the third derivative of 769*a**8/336 - 55*a**4/12 + 16*a**2 + 3*a. Find the second derivative of f(z) wrt z.
15380*z**3
Let d = 69 - 67. Find the third derivative of 11*b**4 - 21*b**4 + 12*b**4 - 21*b**d wrt b.
48*b
Let s(o) = o**3 - 2*o + 2. Suppose f = -2*x + 3 + 2, 0 = -4*x - f + 5. Let p be s(x). Find the first derivative of -6*q**2 - p + 17 - 2*q**2 wrt q.
-16*q
Suppose -l - 5*d + 54 = 0, -4*l + 5*d + 100 = -91. What is the third derivative of -l*z - 6*z**2 - 4*z**6 + 49*z - 10*z**6 wrt z?
-1680*z**3
Let o(c) be the third derivative of -2*c**7/21 - c**6/60 - 12*c**5/5 - 2*c**2 + 33*c. What is the third derivative of o(v) wrt v?
-480*v - 12
Let d(v) be the first derivative of -17*v**5/10 + 9*v**2 - 35*v + 19. Let x(f) be the first derivative of d(f). Differentiate x(u) wrt u.
-102*u**2
Suppose 4*f + 3*f = -0*f. Let b(q) be the second derivative of 0*q**5 + 0*q | {
"pile_set_name": "DM Mathematics"
} |
0/24. Put 5, -1/7, w, b in decreasing order.
5, b, -1/7, w
Let b = -272 + 274. Sort 170/9, -0.1, b in descending order.
170/9, b, -0.1
Suppose 0*u = -v + 3*u - 15, 5*v + 93 = -3*u. Let y = 30634 + -30634.4. Put -2, v, y in ascending order.
v, -2, y
Suppose 5496*o = 5501*o - 100. Suppose -53 = 11*y - o. Suppose 0 = -5*c + 20, 2*d + 2*c + 0*c - 32 = 0. Sort -2, d, y in decreasing order.
d, -2, y
Suppose 57*a + 1410 = 1581. Sort -4, a, -3 in decreasing order.
a, -3, -4
Suppose 4*b + 3*p + 1001 = 0, 3*b + 3*p + 425 + 322 = 0. Put -4, b, 1 in ascending order.
b, -4, 1
Suppose -z - 3*a - 2*a - 129 = 0, 0 = -5*z - a - 525. Let k = z - -105. Suppose -3*m + 4*n = 1 + 4, 2*n = 2*m + 4. Sort 5, k, m, 2 in descending order.
5, 2, k, m
Let m = -2072 - -2071. Sort -13, 24, 3, m in decreasing order.
24, 3, m, -13
Let p be (-9 - (-1722)/192)*-4. Sort -0.3, p, 355 in decreasing order.
355, p, -0.3
Let g be -7*(-3 + 2) + -6. Let t = 5.88 - 6.48. Put g, t, 0.4, -1/2 in descending order.
g, 0.4, -1/2, t
Suppose 0 = -8*i + 7*i + 3*p - 8*p + 54, 7*p - 70 = 0. Suppose -16 = 5*l + 9. Put 3, l, i in descending order.
i, 3, l
Let u be (1 - 2) + 5*1. Let n be 8128/672 - ((-12)/(-28) + 1/(-3)). Put u, -4, 1, n in descending order.
n, u, 1, -4
Let w = 5.6 + -5.49. Let q = -127/9 - -871/63. Let g = 0.7 - 0.4. Sort g, w, -1, q in decreasing order.
g, w, q, -1
Let v = 8686 - 8628.79. Let c = 57 - v. Let b = c - -0.71. Put b, -5, 3 in ascending order.
-5, b, 3
Let b = 14088 - 14200. Sort -4/21, b, -3, -1 in decreasing order.
-4/21, -1, -3, b
Let g = 31/24 + -5/8. Let i = 88 + 138. Let m = 221 - i. Sort g, m, 2/7, 1/2 in increasing order.
m, 2/7, 1/2, g
Let l = -11.491 + 11.791. Sort -3, 0.018, -1, l in ascending order.
-3, -1, 0.018, l
Suppose -20*v + 22*v - 8 = 0. Let f(z) = -6*z + 21. Let m(n) = n - 4. Let b(g) = 2*f(g) + 11*m(g). Let j be b(-1). Sort v, 1, j in descending order.
v, 1, j
Suppose -9 = -i + 2*g, -i = -3*i - 5*g. Suppose 5*w - 35 = 2*l - 1, -3*w - i*l + 8 = 0. Sort w, 4, 0.5 in decreasing order.
w, 4, 0.5
Let j be 8/6*(-8)/(32/(-93)). Suppose 27*s = j*s. Sort -18, -4, s.
-18, -4, s
Suppose 127*m - 30*m - 388 = 0. Sort 278, -4, m in ascending order.
-4, m, 278
Let w = 1208 + -1209. Sort 0.2, -2/5, 182, w in ascending order.
w, -2/5, 0.2, 182
Let l = -4987 + 4977. Let k be (-68)/18 - (-2)/(-9). Sort 3, 5, k, l in ascending order.
l, k, 3, 5
Suppose -29 = -2*n - 3*u, -2385*u + 2389*u = n + 24. Let i = 2 + 3. Sort 3, i, -21, n in ascending order.
-21, 3, n, i
Let w = -18065 + 18027. Put -2, 2, 3, w, 1 in decreasing order.
3, 2, 1, -2, w
Let c = -8651 + 8648. Sort -5, c, 2, 80, 4 in decreasing order.
80, 4, 2, c, -5
Suppose 2*y + 21 = -n - y, 4*n - 2*y + 14 = 0. Let c be ((-4)/(-6))/(n/(-333)). Let u = c - 36. Sort -4, -2, u, 4 in descending order.
4, u, -2, -4
Suppose -13 = -9*f + 32. Suppose 4*u + 8 = 0, u - 1 = 2*h - 3*h. Let l(b) = b**3 + 5*b**2 + 5*b - 1. Let n be l(-4). Sort f, n, h in increasing order.
n, h, f
Suppose 0 = 25*p - 22*p - 27. Let b be (32/(-36))/((-6)/p). Sort 2/15, b, -15, 3 in ascending order.
-15, 2/15, b, 3
Let k = -4 + 3.7. Let i = 39519.1 + -39519. Put 5, -0.05, k, i in descending order.
5, i, -0.05, k
Let p be 11/22 + 74/(-4). Let y = p - -50. Suppose -o + y = 28. Sort 2, o, -5 in ascending order.
-5, 2, o
Let n = -162721/5 - -32545. Let q be (-3)/(-3) + 5 + -2. Sort -11, q, n in increasing order.
-11, n, q
Let y = 5.9 - 262.9. Let o = 252 + y. Put -0.5, 0.05, -3/2, o in descending order.
0.05, -0.5, -3/2, o
Suppose -61*z + 56*z = -3*x, 5*z - 2*x + 5 = 0. Put 2989, 2, z in increasing order.
z, 2, 2989
Let j be 4/(-18)*15/10. Let i = 8953 - 8952.7. Sort 0, i, j, 6 in increasing order.
j, 0, i, 6
Let h be (-573)/(-955) + 44/10. Let o = 0.42 + -0.02. Put -3, h, 2/27, o in decreasing order.
h, o, 2/27, -3
Let p = 6 + -2. Let d = 383 - 383.424. Let c = 0.354 + d. Sort -0.4, 0.2, c, p in decreasing order.
p, 0.2, c, -0.4
Let a = -175.61 - -177. Let l = a + -7.39. Let g be 3/9 - 11/15. Sort g, l, 1 in descending order.
1, g, l
Let s(f) = 3*f**2 + 2*f - 1. Let i be s(-2). Let h = 11 - -13. Let o = h - 27. Put o, i, 4 in increasing order.
o, 4, i
Let k be 24/40 + (7 - 159/15). Put 87, 9, k, -2 in decreasing order.
87, 9, -2, k
Let p be 83/(498/(-960)) - (-3 - 1). Sort -1, p, 3, 1, 5 in increasing order.
p, -1, 1, 3, 5
Suppose -99*b + 667*b = -623*b - 4764. Let q = -4 + 1. Sort q, -94, b in increasing order.
-94, b, q
Let u = 4233 + -4307. Put 0, 8, 2, u, 4 in decreasing order.
8, 4, 2, 0, u
Let x be (-532)/147 + 3 - (-2)/7. Let l = -3923 - -3922.9. Put x, l, -0.2 in increasing order.
x, -0.2, l
Let p be 8/(-6) + ((-32)/48 - 2). Sort -3, -802, -2, 4, p in ascending order.
-802, p, -3, -2, 4
Let a be (-29)/(-116)*(1 + 2 + 1). Put -45, -5, a, -3 in decreasing order.
a, -3, -5, -45
Let s = 6982 + -6982.1. Sort -0.02, 3, s, 16 in descending order.
16, 3, -0.02, s
Let k(q) = -2*q - 68. Let t be k(14). Let a = -97 - t. Let g = 4.99 + 0.01. Put g, -4, a in decreasing order.
g, a, -4
Let k be ((-22)/12 - 60/(-72))*394. Sort k, 0.1, -0.3 in decreasing order.
0.1, -0.3, k
Suppose 14*j + 31*j = -70875. Let f be (-1176)/j - 4/50. Put -0.04, 5, f, -0.3 in descending order.
5, f, -0.04, -0.3
Suppose l - 17 = -4*t, -3*t + 2*l = -1 - 9. Suppose -5 = -5*v + 4*i, -i = -4*v - 0*i + t. Put 4, v, 5 in ascending order.
v, 4, 5
Let r = -734370137/53639245 + 2/975259. Let x = -144/11 - r. Sort x, 9, 1/4 in decreasing order.
9, x, 1/4
Let w be (-16)/(-20)*400/(-320). Let t be (-36)/10 + 4/(-10). Sort 6, t, 4, w.
t, w, 4, 6
Let r be 9 - 116/5 - 1/10*-2. Put 5, r, 55 in decreasing order.
55, 5, r
Let c be -7 - 1/((-5)/38). Suppose -73 = 4*r - 3*f, r + 14 = 2*f + 3*f. Let j = 24 + r. Sort -0.2, 1/4, c, j in descending order.
j, c, 1/4, -0.2
Let l = 0.321 - -2.479. Let k = 30 - 33.8. Let s = k + l. Put -2, s, 4, -11 in descending order.
4, s, -2, -11
Let k = 6847.3 - 6846. Sort k, 3, 1/2, -1, -2/11 in decreasing order.
3, k, 1/2, -2/11, -1
Let k(s) = s**3 - 35*s**2 + 292*s + 168. Let t be k(20). Put 4, 0, t, 12, 2 in decreasing order.
12, t, 4, 2, 0
Suppose -r + 33 = 2*r. Let h be 114/14 + r/(-77). Let k = 82 - 83. Put 1, h, k, -2 in ascending order.
-2, k, 1, h
Let u = -90 - -43. Let b = u - -43. Let k(i) = i**3 + 2*i**2 - i + 1. Let v be k(-2). Sort -0.3, b, v in descending order.
v, -0.3, b
Let m = -4394 + 4397. Sort -2/5, 5, m, -4.
-4, -2/5, m, 5
Let s(b) = 12*b**2 - 802*b - 131. Let v be s(67). Let c(r) = 1 - 4*r**2 + 4*r**2 - r**3 + 0*r**2 + r**2. Let l be c(2). Sort v, -10, l.
-10, l, v
Let d be -1 + (-20)/(-9) - 1. Let t = -12937.6 + 12941.6. Sort d, t, -0.5, -5 in increasing order.
-5, -0.5, d, t
Suppose 6*c + 36 = -0*c, 0*b - 4*c = -4*b. Sort 0, 18, 2, b, 3 in descending order.
18, 3, 2, 0, b
Let r = 8 + -16. Suppose 3207*t = 4*m + 3209*t - 30, 2*m = -3*t + 41. Put r, -3, m in descending order.
m, -3, r
Suppose 360*l + 72 = 378*l. Suppose 9*z - 7*z - 12 = 4*s, 4*s = -l*z - 12. Suppose -4*y - 1 = -5. Put y, z, -6 in decreasing order.
y, z, -6
Let a = -428.8 - -423. Let g = a + 6.8. Sort 3, -0.3, g, -1 in increasing order.
-1, -0.3, g, 3
Let v = -247 + 161. Let y = -26 - v. Let c be (-6)/(-10) - 24/y. Sort 0.07, -2, c in descending order.
c, 0.07, -2
Let m be 2/(-14) - (140/49 + -5). Put 55, m, -9 in descending order.
55, m, -9
Let f = 14 + -13.6. Let x = -0.451 + -0.029. Let k = x + 4.48. Sort -6/11, f, k in increasing order.
-6/11, f, k
Let x = -150 - -164. Let b be 7/(84/(-40))*21/x. Sort b, -1, -6, -4 in ascending order.
-6, b, -4, -1
Let t = -18673 - -18668. Sort t, 1, -4, -2, -11 in ascending order.
-11, t, -4, -2, 1
Let y = -200 + 227. Let v be 2 - ((5 - (-1 - -3)) + 2). Put y, v, -1 in increasing order.
v, -1, y
Suppose 2*r - 3*r + d = 0, -20 = r - 5*d. Suppose -3*w = 1170*t - 1174*t - 22, -t + 5*w - 14 = 0. Let n be 1 + 0 + (0 - 8). Put t, 3, n, r in decreasing order.
r, 3, t, n
Let n(w) = -w**3 + 7*w**2 - 116*w + 1202. Let d be n(9). Sort d, -2, -15 in descending order.
-2, d, -15
Let i = 5741734/273 - 21032. Put i, 0, -3/2 in increasing order.
-3/2, i, 0
Let x be 4*(1848/1728 + -1 + 0/4). Sort 0, x, 3/4 in decreasing order.
3/4, x, 0
Let a = 14619/5 + -2922. Put a, 0.68, 1 in increasing order.
0.68, 1, a
Suppose 521*a = -78*a + 5137 + 4447. Suppose -2* | {
"pile_set_name": "DM Mathematics"
} |
suming j is positive.
j**(-193/30)
Simplify (o**(-1/45)/(o*o**(1/55)))/((o**(-29)*o)/(o*o*o**(-4/7)*o)) assuming o is positive.
o**(20366/693)
Simplify (k*k**(1/5))**(-2/27)*(k*k**(1/7)*k)**7 assuming k is positive.
k**(671/45)
Simplify ((k*k**9*k*k)/(((k**(-2/17)*k)/k)/k))/(k/k**(-2/13)*(k**(2/3)*k)/k*k) assuming k is positive.
k**(6827/663)
Simplify ((h/(h*h**(-7))*h**(-5))/(h**(-7)*(h/h**(-1/17))/h))**(-2) assuming h is positive.
h**(-304/17)
Simplify x*x**(1/27)*x*x**(-20)*(x/(x/x**(18/11)*x))/((x/(x/(x*((x/(x/(x*x*x/(x**(14/9)/x))))/x)/x))*x)/x) assuming x is positive.
x**(-5575/297)
Simplify (m/m**(3/8)*m)/(m**23/m)*m*m/(m*m**(-17/3)/m)*m/m**(1/23) assuming m is positive.
m**(-6487/552)
Simplify (v/((v*((v**(-4/3)*v)/v*v)/v*v)/v)*v**1)/(v/(v*v**3*v))**(-35) assuming v is positive.
v**(-413/3)
Simplify ((z**2*z*z*(z**(2/33)/z)/z*z)**(-1/28))**(2/37) assuming z is positive.
z**(-101/17094)
Simplify (x/x**20*x**(-16/3)/x*x*x)/((x**(-6/7)/x*x)/((x*x*(x/(x*x/(x**(-3)*x)))/x)/x)) assuming x is positive.
x**(-535/21)
Simplify (o**12/(o**(-5)*o*o*o))/(o**(-1/16))**(-8) assuming o is positive.
o**(27/2)
Simplify (c*c/c**(-20)*c)/c**19*(c**14)**(-1/41) assuming c is positive.
c**(150/41)
Simplify ((r*r*(r*r/r**1)/r*r*r)/r*r**(4/3)*r**(-2/7)*r*r**(-5/6))**(-12/5) assuming r is positive.
r**(-354/35)
Simplify i**(9/2)/(i/i**(-24))*i**(4/5)/(i/(i*((i/(i**(-7/6)/i*i)*i)/i)/i*i)*i) assuming i is positive.
i**(-278/15)
Simplify (((u**1/u)**42)**(1/21))**(-2/15) assuming u is positive.
1
Simplify (i*i/(i/i**(-4/5)*i)*i**(-1/20))/((i*i*i/i**7)/(i/(i*i*i**17)*i*i)) assuming i is positive.
i**(-257/20)
Simplify (((t/(t*t*t**7*t))/t**(-2/9))/((t*t**(1/4))/t)**(-2/143))**(-2/19) assuming t is positive.
t**(22585/24453)
Simplify (h**24/(h*h**(1/8)))/(h**(-20)*h**21*h) assuming h is positive.
h**(167/8)
Simplify (((r*r/((r*r**(-1/11))/r))/r)/(r/(((r**3/r)/r)/r)))/(r**7*r*r*r*r**(-12)) assuming r is positive.
r**(23/11)
Simplify (r/r**14*r*r)**13*(r**(-2/13))**42 assuming r is positive.
r**(-1943/13)
Simplify (((v/((v*(v/((v/(v*v**1*v*v))/v))/v)/v)*v)/v)/v*v)**(2/15)*(v**3)**(1/10) assuming v is positive.
v**(-1/10)
Simplify ((y*y/((((y**(-1/2)/y)/y)/y)/y*y)*y)**(-18)/(y**1)**(-5))**(-2/29) assuming y is positive.
y**(224/29)
Simplify ((s**(-6)/s**7)/(s/s**(-1/3))**(-7/2))**(2/131) assuming s is positive.
s**(-50/393)
Simplify ((u**2*u/((u/(((u**(2/7)*u)/u)/u))/u))**23)**4 assuming u is positive.
u**(1472/7)
Simplify (b**(-4/9)/b)**(-2/83)*b**11*b/((b**(-10/3)/b*b)/b) assuming b is positive.
b**(12227/747)
Simplify (m/((m**6/m*m)/m)*(m/(m/((m*m**(10/13))/m)))/m)**(1/4) assuming m is positive.
m**(-55/52)
Simplify ((j*j*j*j*j**(1/15))/j)/((j*j**(-2/5))/j)*j/j**24*(j*j**(-19))/j assuming j is positive.
j**(-578/15)
Simplify (k**(8/11)/(k*k**(-2/31)))**(-1/7) assuming k is positive.
k**(71/2387)
Simplify (c**(-1/3)/c)**(-24/13)/((c*c**9)/c**9) assuming c is positive.
c**(19/13)
Simplify (g/g**(1/3)*g**(-1/5)*(g*g**(-1/4))/g*g**(-7))**(-2/3) assuming g is positive.
g**(407/90)
Simplify (b**9)**(3/2)/(b**(-9)*b)**(1/6) assuming b is positive.
b**(89/6)
Simplify ((h**(-1))**(2/57)*(h/(h/h**(-1)*h*h))**47)**(2/7) assuming h is positive.
h**(-16078/399)
Simplify a**(1/3)*a**19*(a*(a/(a/a**(1/18)*a))/a)**(-1/53) assuming a is positive.
a**(18461/954)
Simplify (h*h*h**18*h**(-3/5))/(h*h/(h/(h*h**(2/3))))**14 assuming h is positive.
h**(-269/15)
Simplify (g**(-1/2))**(-5/2)/(g*g*g**(7/3)*g*g*g/(g**(-2/3)*g)) assuming g is positive.
g**(-23/4)
Simplify (k/((k/k**(-27/4))/k)*k)/k**(-3/4)*k*k/k**(1/10)*k/k**(-11) assuming k is positive.
k**(99/10)
Simplify ((x**(-1/7)*x*x*x**8)**10)**(4/25) assuming x is positive.
x**(552/35)
Simplify (n*n**(10/7))/n**(-2/13)*((((n*n**23)/n*n)/n)/n)/(n/(n/(n**(-3/2)/n))*n) assuming n is positive.
n**(4747/182)
Simplify (d*d*d*d**13/d*d/(d*d/d**(1/2)))**44 assuming d is positive.
d**638
Simplify ((l/(l*l/(l/l**(-18/5)*l*l)))/l)**(-5/12)*(l*l*l**(1/6)*l)/l*l*l*l**(16/5) assuming l is positive.
l**(109/20)
Simplify b**(2/13)/b**5*(b**(2/7)*b)**25 assuming b is positive.
b**(2484/91)
Simplify b**1*b**(-1)*b/(b/b**7)*b*b**(1/2) assuming b is positive.
b**(17/2)
Simplify ((h/(h/h**(6/11)))/h*h**19)/((h*h**(2/19))/h**1) assuming h is positive.
h**(3854/209)
Simplify (u**(-1/14)*u*u*u**(2/61))/(u**(-2/27)/u*u**(2/27)) assuming u is positive.
u**(2529/854)
Simplify (((c/c**(-4))/c)/c)**3*(c*c*c*c**(1/2)*c*c*c)/c**(-1/10) assuming c is positive.
c**(78/5)
Simplify (g*g**(-2/3)*g**6*g)/(g/(g**(-8)/g)*g*g**(-24)/g) assuming g is positive.
g**(64/3)
Simplify ((u*u*u*u**(-20)/u)/(u*u**(-1/6)/u))/((u*u**13)/u**23) assuming u is positive.
u**(-53/6)
Simplify (s*s/(s**(8/5)/s))/(s**(-2/9)*s)*s/(s/((s/s**27*s)/s))*s**(1/11) assuming s is positive.
s**(-12517/495)
Simplify w**(-9)/(w/(w*w**8))*(w*w**13)/w*w**(-1/16)*w assuming w is positive.
w**(207/16)
Simplify ((m/(m/(m/(m*m/(m/(m*m*m**(1/3)*m))*m))))**(-7/3))**26 assuming m is positive.
m**(2366/9)
Simplify (((n**(1/19)*n*n)/n**(-1/9))**(3/4))**(-31) assuming n is positive.
n**(-5735/114)
Simplify (y**2*y)**25*(y/(y/y**(-8)*y)*y)**(28/3) assuming y is positive.
y**(1/3)
Simplify (a**(-7/4)*a/(a**(-5)/a))/(a**(-17/3)*a/a**13*a) assuming a is positive.
a**(263/12)
Simplify (((t/(t*t/t**(-8)*t))/t)/t*t)/t**(-1/3)*t**(4/13)/t**(1/11) assuming t is positive.
t**(-4483/429)
Simplify (f**(-8))**(-16)/((f*f**(-2/5))/f)**(4/5) assuming f is positive.
f**(3208/25)
Simplify ((q**0*q)**(-29/5)*(q**(-1/3)/q)**(4/11))**17 assuming q is positive.
q**(-17629/165)
Simplify (c/(c*c**(4/11)/c)*c*c*c/c**(-10))/(c**(1/4)*c/(c**(4/13)*c)*c) assuming c is positive.
c**(7261/572)
Simplify ((v**(-3)/v*v*v*v*v**(2/21))**(13/4))**47 assuming v is positive.
v**(-11609/84)
Simplify (((b*(b*(b*b**(1/7)*b)/b)/b)/b)/b)**(-21/2)*((b*b**(1/3))/b*b)**(-43) assuming b is positive.
b**(-353/6)
Simplify (r*r**(-2))**(1/14)/((r**(-2)/r)/r*r**2) assuming r is positive.
r**(27/14)
Simplify k**(1/28)/k**(3/22)*(k**(-2/13))**(1/29) assuming k is positive.
k**(-12303/116116)
Simplify (j*j**(6/11)*j*j**(-1)/j)/(j*j**9*j*j)**(-5/2) assuming j is positive.
j**(336/11)
Simplify n/n**(-15)*n**13*n**(-16)/((n/(n*n**16/n*n)*n)/n) assuming n is positive.
n**29
Simplify (u*(((u/((u/(u/u**14))/u))/u)/u)/u)/u**14*(u**(1/18)/u)/(u*u**(-1/19)) assuming u is positive.
u**(-10223/342)
Simplify (x/(x*x**(-7))*x**(2/45))/((x*x**(-5)*x*x)/x*x*x/(x**(-6)*x)) assuming x is positive.
x**(137/45)
Simplify ((t*t**(9/4))/t)/((t*t**(-1/7))/t)*(t*t/(t**(-4/11)/t)*t*t)**(7/2) assuming t is positive.
t**(6519/308)
Simplify (f**(1/2)/(f/(f/f**(-28))))**(-45) assuming f is positive.
f**(-2565/2)
Simplify (v**19)**(-1/2)/((v*v*v*v**8/v)/(v**26*v)) assuming v is positive.
v**(15/2)
Simplify (g*g/(g/(g*g*g/(g/(g**(4/7)*g))))*g**7*g*g)/(g**(-10)/g**(-16)) assuming g is positive.
g**(53/7)
Simplify q/(q/q**19)*q*q/q**(5/2)*q*q**(2/19)*q**(-1/18) assuming q is positive.
q**(3343/171)
Simplify (v**(-5)/v)/v**(2/3)*(v*v/(v*v**4))**17 assuming v is positive.
v**(-173/3)
Simplify ((k**(-6))**(-1/21))**(-4/17) assuming k is positive.
k**(-8/119)
Simplify (n*n**4*n*n)/n**(19/2)*(n**(2/77)*n)/(n*(n*n*n**9/n)/n) assuming n is positive.
n**(-1767/154)
Simplify ((v*v**(-15))/v)/(v/((v*(v**(-2/31)*v)/v*v*v)/v))*(v/(v**(-8)/v))/(v*v/(v**(2/9)*v)) assuming v is positive.
v**(-1351/279)
Simplify ((g*g/(g*g**(1/2)*g))**(-1/12)*g**2/(g**(1/2)*g*g))**(-34) assuming g is positive.
g**(187/12)
Simplify (i**(2/9)*i**5*(i**0*i)**(2/31))**8 assuming i is positive.
i**(11800/279)
Simplify (r*r*r**(2/9)*r*r**8*r*r*r*((r/r**(2/11))/r*r)**(1/16))**(-40) assuming r is positive.
r**(-113045/198)
Simplify (((k*(k*(k/(k/k**(-15)))/k)/k)/k*k)/k*k/(k*k/k**(-18)))/((k/(k*k**(-12/5))*k)/(k*k**(4/5)*k)) assuming k is positive.
k**(-178/5)
Simplify (j/j**(-30))**(6/11)*j**(-5/7)/((j*j/(j*j*j**(-22/7)*j))/j) assuming j is positive.
j**(1159/77)
Simplify (a**(-21/5))**5*(a**(11/3)*a)/a**(19/4) assuming a is positive.
a**(-253/12)
Simplify x/(x*x**(3/8)*x)*x**(3/8)*x**(-13)/x**7 assuming x is positive.
x**(-21)
Simplify ((w/(w*w*w**(-29)))/w**8)/((w/(w*w**17*w))/(w/((w**(3/10)/w*w)/w))) assuming w is positive.
w**(397/10)
Simplify (x*x/(x/x**(4/7))*x**7)/(x**9/(x*x**(-19))) assuming x is positive.
x**(-129/7)
Simplify ( | {
"pile_set_name": "DM Mathematics"
} |
the second derivative of -2*v + 3*v - y*v**5 + 2*v wrt v?
-60*v**3
Let l(z) = z**3 - z**2 - 1. Let c(y) be the first derivative of 2*y**4 - 4*y**3/3 - 6*y - 2. Let v(g) = c(g) - 4*l(g). Differentiate v(r) with respect to r.
12*r**2
Let a(u) be the third derivative of 7*u**6/40 + 14*u**3/3 + 18*u**2. Find the first derivative of a(l) wrt l.
63*l**2
Let p(v) = -v. Let t be p(-1). Let i be 4 + 1/(t/(-1)). What is the third derivative of -3*b**4 - 2*b**2 + 2*b**2 - i*b**2 wrt b?
-72*b
Let j(m) be the first derivative of -m**4/6 + m**3/3 - 3*m + 4. Let a(c) be the first derivative of j(c). Find the second derivative of a(w) wrt w.
-4
Suppose 2 = -4*k + 5*k. Find the second derivative of -2*h**k + 3*h**4 + 3*h**2 + 4*h - h**2 wrt h.
36*h**2
Let n(i) = 8*i**2 + 7. Let q(r) be the first derivative of 5*r**3 + 13*r + 1. Let g(v) = -11*n(v) + 6*q(v). Find the first derivative of g(y) wrt y.
4*y
Find the second derivative of 9*s + 10*s**2 - 5 + s + 5 wrt s.
20
What is the second derivative of 1 + 97*b - 86*b - 19*b**3 - b**3 - 2*b**4 wrt b?
-24*b**2 - 120*b
Let f(t) be the third derivative of t**7/720 + t**6/144 - t**5/30 + t**2. Let q(l) be the third derivative of f(l). Find the first derivative of q(b) wrt b.
7
Let j(p) be the third derivative of 1/2*p**3 + 2*p**2 + 0 - 1/8*p**4 + 0*p. Find the first derivative of j(o) wrt o.
-3
Let j = 8 - 4. Differentiate -6*r - j - 3*r**2 + 6*r wrt r.
-6*r
Let k = -4 - -8. Suppose 0 = -2*c + c - 4*f + 20, -k*f + 20 = -3*c. What is the second derivative of 2*w**2 + 0 + w + 0 + c*w wrt w?
4
Find the third derivative of 5*t**6 + 0*t**3 - 3*t**2 - t**2 + 0*t**3 wrt t.
600*t**3
Let n(o) = -o**3 + 7*o**2 - 7*o + 8. Let c be 60/9 + 4/(-6). Let s be n(c). What is the first derivative of -1 + b + 3*b**s - 2*b + b wrt b?
6*b
Differentiate -m**2 - 1 + 3 + 0 wrt m.
-2*m
Let u(j) = j**2 + 3*j - 1. Let r be (-5 + 6)/((-1)/4). Let v be u(r). Find the second derivative of t**4 + 0*t**4 - v*t - 3*t**4 + t**4 wrt t.
-12*t**2
Let z(r) = -2*r - 10. Let p be z(-7). Suppose 0 = -w - p*b + 8, 0*w - 40 = -5*w - 3*b. What is the derivative of -8*l**2 + w*l**2 + l**3 + 3 wrt l?
3*l**2
Let o(z) = 6*z**4 - 3*z**3 + 5. Let h(f) = 18*f**4 - 8*f**3 + 15. Let c(p) = 3*h(p) - 8*o(p). What is the first derivative of c(v) wrt v?
24*v**3
Let p = -3 + 10. Suppose g - 9 = j, 4*g - j - p = 14. What is the third derivative of 4*l**2 + 0*l**g + 0*l**4 + 2*l**5 - l**2 wrt l?
120*l**2
Let a be (-1 + 2)/(2/(-12)). Let o = 8 + a. Differentiate o*k**4 + 8*k**2 - 8*k**2 + 3 wrt k.
8*k**3
Let x(n) = 6*n - 5. Let g(t) be the first derivative of -3*t**2/2 + 2*t + 4. Let h(d) = 13*g(d) + 6*x(d). Find the first derivative of h(o) wrt o.
-3
Let x(a) = a**2 + a - 1. Let g(d) = -4*d**2 + 6*d - 15. Let l(i) = -g(i) + 6*x(i). Find the first derivative of l(t) wrt t.
20*t
Let o(a) be the second derivative of 4*a**3 - 8*a**2 - 15*a. What is the first derivative of o(c) wrt c?
24
Let x(z) = 13*z**4 - 8*z**2 - 2. Let q(n) = -n**2 - 1. Let w(g) = -2*q(g) + x(g). What is the third derivative of w(j) wrt j?
312*j
Find the third derivative of 0*x**2 + 0*x**6 - 3*x**2 + 9*x**6 wrt x.
1080*x**3
Suppose -7*y + 4*y = -15. Suppose 2*v + 6 = y*v. What is the third derivative of -3*m**2 + m**6 + m**v - 2*m**2 wrt m?
120*m**3
Let x(i) be the second derivative of -5*i - 3/2*i**2 - 1/12*i**4 + 0*i**3 + 0. Differentiate x(f) with respect to f.
-2*f
What is the third derivative of 84 + 4*j**5 + 2*j**2 - 84 wrt j?
240*j**2
Find the second derivative of 6*o**4 - 9*o**4 + 4*o + 8*o - 2*o wrt o.
-36*o**2
Let r(m) = 2*m**2 - 2. Let k be r(2). Find the second derivative of -o + k*o**5 - 8*o**5 + 0*o wrt o.
-40*o**3
Let l(c) be the first derivative of -25*c**4/4 + 31*c**2/2 + 56. What is the second derivative of l(p) wrt p?
-150*p
Find the third derivative of 5*z**2 - z**6 - 2*z**6 - z**6 wrt z.
-480*z**3
Suppose 2 = 4*h + 5*f - 1, 0 = -2*h - 2*f + 2. Suppose -18 = -4*j - 0*c + 5*c, h*j + 3*c - 20 = 0. Find the second derivative of j*a**5 + a - 8*a**5 + a wrt a.
-20*a**3
Suppose 3*k - 2*k - 2 = 0. Find the second derivative of k*n - 3*n**3 - 3*n - n wrt n.
-18*n
Let h(i) be the second derivative of -1/3*i**3 - 3*i + 0*i**2 + 0 - 5/12*i**4. What is the second derivative of h(n) wrt n?
-10
Suppose -3*i + 4 - 13 = 4*b, -5*b = -3*i - 36. Let r = 11 + i. Find the second derivative of -3*p**2 - p + r*p**2 - p**2 + p**3 wrt p.
6*p
Find the second derivative of -4*l**2 - 4*l**2 + l**2 - 5*l + 11*l**2 wrt l.
8
Suppose -4*j + 4 = -0*j. What is the first derivative of j + 4*w**4 - 7*w + 7*w wrt w?
16*w**3
Let x(w) be the first derivative of -w**8/168 + w**4/6 - 3*w**2/2 - 1. Let l(m) be the second derivative of x(m). Find the second derivative of l(b) wrt b.
-40*b**3
Let g(o) = -o - 6. Let r be g(-7). Let q be (r/(-1))/((-1)/2). What is the third derivative of 3*c**4 - 4*c**4 - 5*c**2 + 3*c**q wrt c?
-24*c
What is the second derivative of -35*h + 3*h**2 + 14*h**2 + 12*h**2 wrt h?
58
Let t(b) = -21*b - 2. Let o(s) = 10*s + 1. Let p(q) = -5*o(q) - 3*t(q). Differentiate p(n) wrt n.
13
Find the second derivative of 5*g**3 - 2*g**5 - 5*g**3 + 0*g**3 + 4*g wrt g.
-40*g**3
Suppose -21 = -n + 5*u, -2*n + 0*u + 4*u = -24. Find the first derivative of -2 - i**3 - n + 4 wrt i.
-3*i**2
Let l(k) be the first derivative of 5*k**6/3 + 5*k**2/2 + 10. Find the second derivative of l(i) wrt i.
200*i**3
Suppose -2*a - 6 = -5*a. Suppose -d + 3*z + 5 = -3, a*d - z = 6. Differentiate 1 - 5 + 2 + d*k wrt k.
2
Let m(l) = -13*l**2 + 8*l - 7. Let a(c) = 12*c**2 - 8*c + 6. Let z(x) = -7*a(x) - 6*m(x). What is the second derivative of z(f) wrt f?
-12
Let n(v) be the third derivative of 5*v**7/42 - 8*v**5/15 + 40*v**2. Find the third derivative of n(i) wrt i.
600*i
Let h be ((-2)/(-6))/((-1)/(-51)). Let x = h + -12. What is the third derivative of -2*l**2 + 3*l**5 - 2*l**2 - 2*l**x wrt l?
60*l**2
Let a be 2 + -2 - (-4 - -2). Let g(u) be the second derivative of 1/6*u**4 + u + 0*u**3 - u**a + 0. Differentiate g(l) wrt l.
4*l
Let z(a) be the third derivative of -17*a**4/24 + 2*a**3 - 8*a**2. Find the first derivative of z(s) wrt s.
-17
Let g(o) = -o - 4. Let i be g(-6). Find the second derivative of -y**5 - 4*y - i + 2 wrt y.
-20*y**3
Let w(k) be the third derivative of -3*k**2 + 0*k**3 - 1/6*k**4 + 0*k + 0 + 1/15*k**5. Find the second derivative of w(n) wrt n.
8
Let z be (-5)/(2 + (-12)/4). Find the second derivative of z*n + 10*n**4 - 7*n - 7*n - n wrt n.
120*n**2
Suppose 1 = l - 0. Let t(o) = -2*o + l + 1 - 4*o - 6. Let q(b) = 3*b + 2. Let h(w) = -7*q(w) - 4*t(w). Differentiate h(i) with respect to i.
3
Let z(j) = -7*j**3 + 2*j + 4. Let t(b) = -20*b**3 + 6*b + 11. Suppose 16 = -2*a - 2*a. Let p(m) = a*t(m) + 11*z(m). What is the second derivative of p(g) wrt g?
18*g
What is the second derivative of 390 + 388 + 5*a**2 - 55*a - 776 wrt a?
10
Suppose 3*h = -0 + 6. What is the derivative of 3*t**2 - 1 - 1 - 4*t**h wrt t?
-2*t
Let p(l) = -l**2 - l - 1. Let s(k) = 6*k**2 + 9*k + 5. Let f(v) = -5*p(v) - s(v). What is the second derivative of f(q) wrt q?
-2
Let l(x) be the second derivative of -x**5/10 - 7*x**2/2 + 2*x. Differentiate l(h) with respect to h.
-6*h**2
Let q(u) = -u**3 + 3*u**2 + 2. Let i(d) = d**3 - d**2. Let b = 1 - -5. Let j(v) = b*i(v) + 2*q(v). Find the first derivative of j(z) wrt z.
12*z**2
Find the second derivative of 12*a**4 - a**2 + a**2 + 4*a - 2*a**4 wrt a.
120*a**2
Let k(i) be the second derivative of i**8/3360 + i**7/840 + i**4/6 + 3*i. Let h(n) be the third derivative of k(n). What is the third derivative of h(o) wrt o?
12
Let o(w) be the second derivative of -3*w**4/2 + 5*w**3/6 + 3*w**2/2 - 8*w + 2. Find the second derivative of o(x) wrt x.
-36
Let l(t) be the first derivative of -2*t**7/105 - t**3/3 - 5*t**2/2 + 3. Let u(n) be the second derivative of l(n). What is the first derivative of u(f) wrt f?
-16*f**3
Suppose y + 0*y = 5*u - 1, 0 = 3*y + 4*u + 41. Let r = -8 - y. Find the first derivative of 3*q**3 - 3*q**3 - q**4 - r wrt q.
-4*q**3
Let x(t) = 3*t**2 - 1. Let i(c) = -c**3 + c**2 - 1. Let m(p) = -i(p) + x(p). Find the third derivative of m(k) wrt k.
6
Let q(j) be the first derivative of 23*j**5/5 - 14*j - 7. What is the first derivative of q(v) wrt v?
92*v**3
Let m(w) be the second derivative of -1/2* | {
"pile_set_name": "DM Mathematics"
} |
5 decimal places?
0.00043
Let a = 15.06 - 15.0599994744. What is a rounded to 7 dps?
0.0000005
Let a be (1 + -1)/((-10)/5) - -3. Let x be 183*a + -4*3/(-12). Round x to the nearest 100.
600
Let g = -217.744 - -218. What is g rounded to 2 decimal places?
0.26
Let c = -120 - -126.45. Let r = 0.25 - c. Let p = 6 + r. Round p to 1 decimal place.
-0.2
Let o(v) = -9*v**3 + 2*v**2 + v. Let n be o(-1). Let j be (-4)/n + 364/10. Suppose -j = -a + 2. Round a to the nearest ten.
40
Let o(j) = 483*j**2 + 15*j + 8. Let b be o(-8). What is b rounded to the nearest 10000?
30000
Let g = -1.991 - -214.191. Round g to the nearest one hundred.
200
Let s = 3146.00002767 + -3146. Round s to five dps.
0.00003
Let y = 33725 - 58375. Round y to the nearest 1000.
-25000
Let s = 133.9999949 + -134. What is s rounded to 6 decimal places?
-0.000005
Let j = 107 + -55. Let m be 2433/(-13) - (-6 - (-304)/j). What is m rounded to the nearest ten?
-190
Suppose 21*c + 229995 = -286185. What is c rounded to the nearest 1000?
-25000
Let o = 302.2158 + -3.3458. Let n = o - 295. Let i = n - 4. Round i to one decimal place.
-0.1
Let q = -24 + 13. Let d = 296.3 - 303. Let y = d - q. What is y rounded to the nearest integer?
4
Let c = 29220338 + 8642532. Let z(x) = -156586*x**2 + 15*x - 31. Let j be z(13). Let r = c + j. Round r to the nearest 1000000.
11000000
Let p = -0.48 - -0.38. Let a = p - -0.11. Let q = a - -2.45. Round q to one decimal place.
2.5
Let q = 358 - 357.42. Round q to 1 dp.
0.6
Suppose 4345283 = -44*v + 172763. What is v rounded to the nearest ten thousand?
-90000
Let z be (3 - (3 + 1))*2. Let o = z + 0. Let q be (-4802 - o)*(-400)/(-2). Round q to the nearest one hundred thousand.
-1000000
Let o = 11902246 - 26832246. What is o rounded to the nearest 1000000?
-15000000
Let c = 0.41 + -1.26. Let n = c - -35.85. Let t = -34.999982 + n. Round t to five dps.
0.00002
Let c = 4.6 + 18.4. Let q = c + -22.999988. Round q to 5 dps.
0.00001
Let a = 2756 - -7236. Suppose f - 3*c + 178 = -9810, 2*c = f + a. Round f to the nearest ten thousand.
-10000
Let x = 1117498.9433746 + 0.0566254. Let r = -1117497.999978 + x. Let p = -1 + r. What is p rounded to 5 decimal places?
0.00002
Let t = -9007 - -15297. Round t to the nearest one thousand.
6000
Let x = 648487 + -1300487. Round x to the nearest ten thousand.
-650000
Let s(k) = 9229971*k + 87. Let g be s(3). Round g to the nearest 1000000.
28000000
Let k = 1.24 - -98.76. Let n = -892 - -783.9. Let u = k + n. What is u rounded to the nearest integer?
-8
Let s = -9293207 + 9293084.999931. Let n = s + 122. Round n to 5 dps.
-0.00007
Let m = 29 + -32. Let f be 1*m + 1948*-14. Let d = -19725 + f. What is d rounded to the nearest 10000?
-50000
Let m = 21834 + -21834.79918. Let b = -0.88 - -0.08. Let u = b - m. What is u rounded to 4 decimal places?
-0.0008
Let h = 15967450 - 30667450. Round h to the nearest one million.
-15000000
Let s = 0.355 + 0.221. Round s to 1 decimal place.
0.6
Let c = 681 - 745.6. Round c to zero decimal places.
-65
Let g = 0.0824 - -82.7176. Let x = g - 73. What is x rounded to zero decimal places?
10
Suppose 4*x = 2*x. Suppose -3*w - 5*a = -0*w - 16779, -5*w + 4*a + 28002 = x. Let y be w + (-1)/1 + 3. What is y rounded to the nearest 1000?
6000
Let l = -62.4646 - -0.0646. Let r = 12.6 - l. Let b = r - 75.0227. What is b rounded to three decimal places?
-0.023
Let k = 1090 + -441. Let x be -3 + (k - 8/(-2)). What is x rounded to the nearest 100?
700
Let j = 0.135 - 0.035. Let s = j + 2.75. What is s rounded to one decimal place?
2.9
Let r = -345253775 + 818884697. Let w = 473630924.90000027 - r. Let m = w - 2.9. Round m to 7 dps.
0.0000003
Let w = 22.56 + -0.56. Let k = w - 22.00000184. What is k rounded to seven decimal places?
-0.0000018
Let b(f) = -190164*f**2 - 3*f + 12. Let j be b(-9). Let m = j + 26003245. Round m to the nearest 1000000.
11000000
Let w = -18360.012377 + 18360. Round w to 3 decimal places.
-0.012
Let b be (-22000)/((21/(-7))/(-780)). What is b rounded to the nearest 1000000?
-6000000
Let r(w) = 148*w**2 - 40*w**2 + 12*w - 23*w. Let h be r(-8). What is h rounded to the nearest ten thousand?
10000
Suppose -4*r = -2*t - 0 - 8, 2*r + 5*t = 4. Let b = 1 + r. Let v be 4/b*-3*-45. What is v rounded to the nearest one hundred?
200
Let m(y) = -173335*y**2 - 9*y - 12. Let d be m(-3). Round d to the nearest ten thousand.
-1560000
Let c(z) be the third derivative of -7699997*z**4/24 - z**3/2 + 22*z**2. Let v be c(1). What is v rounded to the nearest one million?
-8000000
Let y = 16826340.5799721 - 16826336. Let j = y + -4.58. Round j to six dps.
-0.000028
Let w be (-459)/(-18)*(-16)/3. Let p be (w*125)/(3/(-240)). Round p to the nearest one hundred thousand.
1400000
Let z = -5289161 + 5289163.199943. Let u = -2.2 + z. What is u rounded to 5 decimal places?
-0.00006
Let s = 114.228 + -0.228. Let v = s - 114.00585. What is v rounded to 3 decimal places?
-0.006
Let s = -161 + 142.2. Let m = s + 19.263. Let x = m - 0.46503. Round x to 4 dps.
-0.002
Suppose -4*w = -u - 23, w + 3*u = -0*u + 22. Suppose 0 = -n + 26 + w. Let m be (-150)/(n/(-18) + 2). Round m to the nearest 1000.
-1000
Let s = -0.012 - 2.888. Let p = -2 - s. Let h = -1.26 + p. What is h rounded to one dp?
-0.4
Let g = -0.054 - -0.02445. Round g to three dps.
-0.03
Let s = 124164 - 56164. What is s rounded to the nearest 10000?
70000
Let v = 42852.99979771 + -42853. What is v rounded to five dps?
-0.0002
Let o = 55236 - 37631. Let c = o + -45605. Round c to the nearest one hundred thousand.
0
Let f(z) = -11201*z**3 - 10*z**2 + 2*z + 20. Suppose -j - 50 = 4*j. Let r be f(j). Round r to the nearest one million.
11000000
Let a = -50.6 - -23.9. Let o = a - -26.699999144. What is o rounded to seven dps?
-0.0000009
Suppose 0*c = 8*c + 2*c. Suppose c = f - 4, -b - 4*f + 5820016 = 2*b. Round b to the nearest one hundred thousand.
1900000
Let d = -3275737 - -7537737. What is d rounded to the nearest 1000000?
4000000
Let a = 1937.8543 - 1945.8. Let o = a + 0.0057. Let d = -8 - o. What is d rounded to 2 decimal places?
-0.06
Let f = 0.56 + -0.262. Let w = f - 0.19. What is w rounded to two decimal places?
0.11
Let i(f) = f - 2. Let s be i(-5). Let h(b) = b**2 + 5*b - 14. Let p be h(s). What is p rounded to the nearest one hundred thousand?
0
Let n = -15 - -18. Suppose 4*t - 16 = -4*i, -6 = -3*t + n*i + 24. Suppose -254 = -2*h - 5*l, h - t*l + 3*l - 140 = 0. Round h to the nearest ten.
130
Let s = 2846 + -1369. Suppose -6*z + 2003 = -s. What is z rounded to the nearest 100?
600
Let v = -7.1 - 0.16. Let w = v + -0.24. Round w to 0 decimal places.
-8
Let j = 118.47 - 113.573. Round j to one dp.
4.9
Let t = -55.714 + -2.006. Let c = 58.3838 + t. Let a = c + -0.67. What is a rounded to three decimal places?
-0.006
Let m(q) = -8266140*q + 700. Let k be m(5). What is k rounded to the nearest one million?
-41000000
Let p be 4875*(-4864)/(-6 - -2). What is p rounded to the nearest one million?
6000000
Let g = -55.63 + 54. Let y = g - -0.73. Round y to 1 decimal place.
-0.9
Let t = -792.63 + 792. What is t rounded to one decimal place?
-0.6
Let r = -449.94 + 1.14. What is r rounded to the nearest one hundred?
-400
Let b = -0.046 - -0.09. Let r = b - 0.05. Let p = r - -0.01. What is p rounded to two dps?
0
Let v = -832.5 + 739. What is v rounded to 0 dps?
-94
Let k = -4009228.989 + 4018567. Let j = -9331 + k. Let b = 7 - j. Round b to 2 decimal places.
-0.01
Suppose -1 = 3*t - 16. Suppose -t*j - 3*g = -5753, -4*j + 4595 = -4*g - g. Round j to the nearest 100.
1200
Let d = -33958.885 - -34064. Let c = -0.115 + d. Let b = -96.3 + c. Round b to the nearest integer.
9
Let h = -20208122749 + 20208119032.8882054. Let b = h - -3695.1118. Let f = -21 - b. What is f rounded to 6 dps?
-0.000005
Let t = 201.9674 + 0.0326. Let c = 201.999907 - t. Round c to 5 dps.
-0.00009
Let k = -2.426 - -2.4. Let n = -0.02591 - k. Round n to 4 dps.
0.0001
Let k = 133 + -41. Let d = 7 + k. Let w = -98.99903 + d. Round w to 4 dps.
0.001
Let r(z) = 65*z - 40. Let v be r(4). Let j be 60/(-9) + (-2)/(-3). Let m be (2*15)/(j/v). Round m to the nearest 1000.
-1000
Let s = -0.65 - -0.64844. Round s to 3 dps.
-0.002
Suppose 2*o = -293 - 897. Round o to the nearest one hundred.
-600
Let x = -17.2 | {
"pile_set_name": "DM Mathematics"
} |
er when t is divided by 78?
76
What is the remainder when 227 is divided by ((2 + 54)/7)/((-6)/(-24))?
3
Let a = 86 - 56. Let q = -4016 - -4023. Calculate the remainder when a is divided by q.
2
Let z(k) = k**3 + 9*k**2 - 32*k - 88. What is the remainder when 238 is divided by z(-11)?
18
Let c be ((-9)/(-6) - 1)*-54. Let q = c + 23. Calculate the remainder when q - (-9)/(18/184) is divided by 30.
28
Suppose 0 = 6*g - 110 + 56. Calculate the remainder when 86 is divided by (g/(-6))/((-255)/(-264) - 1).
42
Let a = -136 - -60. Suppose 5*l + 10 = 0, -4*x = x + 3*l + 1241. Let b = a - x. What is the remainder when b is divided by 29?
26
Let m = 83 - 70. Suppose 0 = m*q - 17*q + 2*g + 120, -g + 80 = 3*q. What is the remainder when q is divided by 12?
4
Suppose -20 = -s - g + 12, -52 = -s - 5*g. Let y be 20 - (-3 + (13 - 7)). Suppose -3*p = -y*p + 1484. Calculate the remainder when p is divided by s.
25
Let h(k) = 4*k**2 - 68*k + 9. Calculate the remainder when 127 is divided by h(17).
1
Let r = 2626 - 2532. What is the remainder when 346 is divided by r?
64
Let r(w) = 20*w + 6. Suppose 18 = -5*y + 4*y. Calculate the remainder when r(4) is divided by (y/(-6) + -12)*10/(-3).
26
Let i(d) = -d + 30. Let s(c) = c + 3. Let a be s(2). Suppose a*h = 716 - 121. Calculate the remainder when h is divided by i(0).
29
Let x = 81 + 386. Let q = x - 458. Let k(v) = -v**3 - v**2 + 3*v - 1. Calculate the remainder when k(-4) is divided by q.
8
Suppose -192*t + 45214 = 12*t - 78818. What is the remainder when t is divided by 87?
86
Suppose -5*i - 32*i + 170376 = -6*i. What is the remainder when i is divided by 20?
16
Suppose -2*g = -2*s + 4, g + 2 = 2*s - 2*g. Let k = -130 + 135. Let d(z) = -z**3 + 6*z**2 - 4*z + 2. What is the remainder when d(k) is divided by s?
3
Suppose -84*g + 49*g + 56*g = 588. Calculate the remainder when 257 is divided by g.
5
Let k be ((-36)/(-5))/(1 + (-52)/60). Suppose 3*n = 2*n - k. Let t = 70 + n. Calculate the remainder when 62 is divided by t.
14
Let l(q) = 64*q - 2213. Calculate the remainder when l(38) is divided by 64.
27
Suppose 3*s - 20 = 3*t + 2*t, -s + 3 = 2*t. Let a(f) = -16*f + 1. What is the remainder when 17 is divided by a(t)?
0
Suppose 3*r + 3*g - 669 = 0, -7*r + g + 928 = -673. Calculate the remainder when 1589 is divided by r.
221
Suppose 2*k - 5*b - 62 = k, -3*k = -b - 172. Calculate the remainder when 288 is divided by k.
3
Suppose 23*a - 5*i - 21425 = 18*a, -4*a + 17136 = -2*i. What is the remainder when a is divided by 84?
83
Let i(p) be the first derivative of p**2 + 17*p + 189. Suppose -2 = -2*k - 3*u, -2*k - 5*u = 2*k. What is the remainder when i(k) is divided by 7?
0
Suppose -2*p + 5*x = -209, -33*p - 3*x = -35*p + 211. Let w = 761 + -743. What is the remainder when p is divided by w?
17
Calculate the remainder when 2349 is divided by 8/((-16)/(-3))*(-750)/(-45).
24
Suppose -75*r = -23109 + 9084. What is the remainder when 408 is divided by r?
34
Let h = 77178 - 77099. Let w = -26 + 53. Calculate the remainder when h is divided by w.
25
Let s(z) = -z**2 + z - 47. Let x be s(0). Suppose w - 58 = 4*t - 0*t, -4*w = -5*t - 243. Let h = w + x. Calculate the remainder when h is divided by 9.
6
Let x(c) be the third derivative of 10*c**2 + 0 + 1/2*c**3 + 1/4*c**4 + 0*c. Calculate the remainder when 17 is divided by x(1).
8
Suppose 2*t + 148 = 2*i, 4*t + 0*i = 5*i - 294. Let d = -61 - t. Let j = 75 + -47. What is the remainder when j is divided by d?
13
Suppose 18 = 2*b - 2*m, 2*m = 3*b - 10 - 14. What is the remainder when 170 is divided by b?
2
Let l be (0 + 2)*(-27)/(-27) + 3. Suppose -23 = -l*g + 2*w, -2*g + 3*w + 7 = -11. What is the remainder when 27 is divided by g?
0
Let k(p) = 43*p + 70. Let h be k(-9). Let g = h + 376. Calculate the remainder when g is divided by 10.
9
Let k(c) = c**2 - 18*c + 34. Let d be k(16). Suppose -d*l + 4*j - 35 = l, -50 = 5*l - 5*j. What is the remainder when 57 + l + -3*(-2)/2 is divided by 21?
13
Let r = 39 - 11. Suppose 0 = -14*p + 92 + 1650 + 960. What is the remainder when p is divided by r?
25
Let u(f) = 4*f**2 - 15*f - 11. Let t be u(-6). Let s = t + -154. Calculate the remainder when s is divided by 12.
9
Suppose 736 = 20*v - 404. What is the remainder when 266 is divided by v?
38
Suppose -v = 4*v - 670. Suppose -15*d + 13*d = -312. What is the remainder when v is divided by 6*5 + d/39?
32
Let v(u) = 6*u**3 - 4*u + 1. Let f be v(-2). Let o = -36 - f. Suppose 3*x + 3*t = 24, -5 = -o*t - 17. What is the remainder when x is divided by 7?
5
Suppose -3*d + 42 = -81. Suppose d*a = 53*a - 3420. Calculate the remainder when a is divided by 41.
39
Let r(g) = 11*g**2 + 16*g - 293. Calculate the remainder when r(10) is divided by 57.
55
Let n = 110 - 9. Let t = n + -24. Calculate the remainder when 307 is divided by t.
76
Suppose 14 + 71 = 5*n. Suppose 5*k = -4*t + 41, t = -4*k + 6*t. Suppose -u - n = -2*a, a - k*u - 18 = 4. What is the remainder when 18 is divided by a?
4
Let k = 1673 + -946. Calculate the remainder when k is divided by 191.
154
Let s(m) = -m**3 + m**2 + 2*m - 2. Let b be s(0). Let c be (-2*35/40)/(b/80). Let a = c - 67. Calculate the remainder when 6 is divided by a.
0
Suppose -37*b - 5*u = -33*b - 4647, -2*b + 3*u + 2329 = 0. Calculate the remainder when b is divided by 51.
41
Let g be (-7)/28*-20 + 10/2. Let t(z) = z**2 + 8*z + 9. Let f be t(-6). What is the remainder when -55*(f/(-12) + g/(-8)) is divided by 20?
15
Let s = 17693 + -17674. Calculate the remainder when 1746 is divided by s.
17
Suppose -4*y + 1356 = g - 5*g, 1683 = -5*g + y. Let t = g + 381. What is the remainder when 101 is divided by t?
11
Let f(q) = -6*q**2 - 91*q + 15. Calculate the remainder when f(-14) is divided by 42.
29
Let s = -77 - -260. Suppose -18*d + 241 = -0*d - 893. What is the remainder when s is divided by d?
57
Calculate the remainder when -7 + (-208)/(-32) - (-9339)/6 is divided by 309.
11
What is the remainder when 76/4*-68*13/(-13) is divided by 322?
4
Let w(c) = -3*c**2 - 92*c + 491. Suppose -3*v + 60 + 102 = 0. What is the remainder when w(-33) is divided by v?
44
Let u(i) = -128*i + 647. Suppose 0 = -3*z + b + 1 + 244, -3*z + 229 = -5*b. What is the remainder when z is divided by u(5)?
6
Suppose -j + 52*j = 18666. Calculate the remainder when j is divided by 62.
56
Let d(c) = 20*c - 79. Let x be d(5). What is the remainder when 454 is divided by 279/x + (-28)/98?
12
Suppose -18*f = -5*f - 3*f - 2530. What is the remainder when f is divided by 64?
61
Let h = -3067 + 6100. What is the remainder when h is divided by 138?
135
Suppose 66 = 5*q - 344*s + 346*s, -2*s = -2*q + 4. Let z = 200 + -41. Calculate the remainder when z is divided by q.
9
Let u = -10423 - -10430. Let n = 87 - -1. Calculate the remainder when n is divided by u.
4
Suppose -9979*f - 3525 = -10004*f. Calculate the remainder when 615 is divided by f.
51
Let a = -237 + 247. Suppose 380 = 4*j + 152. Calculate the remainder when j is divided by a.
7
Let y(g) = -g**2 + 27*g + 70. Let t = 645 - 616. What is the remainder when 51 is divided by y(t)?
3
Suppose 68*p + 7185 = 73*p + 2*y, -3*y = 3*p - 4320. Calculate the remainder when 2873 is divided by p.
3
Let o(w) = -w**3 - 5*w**2 + 9*w - 99. What is the remainder when 2801 is divided by o(-10)?
2
Suppose -17*d = -3*d - 1232. Let h = -13 - -2. Let x(s) = s**2 + 9*s + 8. What is the remainder when d is divided by x(h)?
28
Suppose l - 4 = -0*l. Suppose 5*y = -10*w + 260, -w - 16*y + 61 = -12*y. Calculate the remainder when (-7)/(-28) - (-911)/l is divided by w.
18
Suppose 7*c - 5*c - 50 = 0. Suppose 5*g - 34 = 2*n + g, 0 = 5*g - c. Let w(j) = -8*j - 43. What is the remainder when 63 is divided by w(n)?
11
Calculate the remainder when ((-42)/(-8) + 2/(-4))/(3082/3094328) is divided by 15.
14
Let n(b) = -1. Let x(r) = -10*r + 1. Let m(s) = 2*n(s) - x(s). Suppose -2*i + 7 = 3*o, 3*i - 5*i + 5 = o. What is the remainder when m(o) is divided by 7?
0
Let t be (310/(-4))/(-7 + 1105/158). Calculate the remainder when 240 is divided by 1 + (-22)/16 - t/(-248).
44
Let l = 14420 - 14370. Suppose 22 = 2*n - 70. What is the remainder when l is divided by n?
4
What is the remainder when 147/(-2 + 27/14 + (-1140)/(-1064)) is divided by 12 - (3 + (-1)/1)?
7
Let q be (2/(-2))/(4 + (-5 | {
"pile_set_name": "DM Mathematics"
} |
+ 0.7. Which is the nearest to d? (a) 1 (b) i (c) 0.5
b
Let n = 2 - -3. Let a be (-2 + 24/15)*n. What is the closest to -2/3 in -4, 4, a?
a
Let n = -1221/2 + 594. Let j = 17 + n. What is the closest to -1 in 4, j, 5/3?
j
Let z = 68 + -64. What is the nearest to -3 in 5, 1/4, z?
1/4
Let z(i) = i. Let u = -11 - -8. Let h be z(u). Let y = -0.1 - -0.1. Which is the closest to y? (a) -1 (b) h (c) -5
a
Let t(v) = -2*v + 3. Let g be t(1). Which is the nearest to -1? (a) -0.5 (b) -2/3 (c) g
b
Let p = 12 + -11.5. Let k = 0.4 - 2.4. Let f = k + 3. Which is the closest to f? (a) p (b) 0.1 (c) 1/7
a
Suppose -4*z - a = -3*z - 1, -z + 3*a = -1. Let w = -0.11 - -1.41. Let r = w - 0.3. What is the nearest to z in r, -0.4, -1/4?
r
Let f be (3 - 3 - -1) + -2. Let v be (-4)/6*f/(-2). Which is the nearest to v? (a) 1/4 (b) -0.3 (c) -2
b
Let p = -0.05 - -0.45. Which is the nearest to -2/3? (a) p (b) -3/7 (c) -2
b
Let t be (3*-1 + 2)*-1. Let z be (2/(-6))/(10/12). Let i be 18/(-60)*8/(-3). Which is the nearest to 2? (a) t (b) z (c) i
a
Let l be (9/(-6))/(6/8). Let y be 10/l*2/5. Suppose -17 + 5 = -3*m. Which is the nearest to y? (a) 1/3 (b) -1 (c) m
b
Let x = -2/85 - 79/255. Which is the closest to x? (a) 0.2 (b) 3 (c) 1
a
Let j be 2/8 + 21/(-4). Let o be (-12)/4 - (-30)/9. Which is the nearest to -1? (a) o (b) -3 (c) j
a
Let k = -2.8 + 2.7. What is the closest to k in -12, -0.3, 1/4?
-0.3
Let c = -0.9 + 1. Let u = 0 - c. Let x = 22.3 + -22. What is the nearest to u in -2/7, x, 1?
-2/7
Let h = 51.2 + -51. Which is the closest to h? (a) -3 (b) -2/5 (c) 3
b
Let v = 5.16 - 0.16. What is the closest to 0.1 in v, -2/9, 4?
-2/9
Let z = 59 - 58.6. What is the closest to 1/2 in z, 0.9, 1?
z
Let d = -11 - -7. Let y be 2 - (64/9)/4. Let f = 282/5 + -56. What is the closest to 2/5 in f, d, y?
f
Let d = 1.5 - -0.5. Let n = -303 - -302.9. Which is the nearest to -0.1? (a) n (b) -3 (c) d
a
Let v = 0.084 + -4.084. What is the nearest to 0.5 in -0.3, -0.4, v?
-0.3
Let n = 803/5 - 160. Let h = 0.4 + -0.3. Which is the nearest to h? (a) n (b) -2/3 (c) 1
a
Suppose 641 = 3*z - 2*k, 5*z + 2*k + 3*k - 1110 = 0. Let u = z + -1089/5. Which is the closest to -2? (a) u (b) 0 (c) -0.4
a
Let f = -3 - -3.1. Let z be 24/14 + (-2)/(-7). Let u = -7 - -6.8. Which is the closest to f? (a) u (b) z (c) -0.4
a
Let z be (32/(-18) - -2)*-3. What is the closest to z in 0, 3/7, -0.2?
-0.2
Let k = 47.1 - 42.1. Let n = 3.2 + -3. Which is the closest to -3/2? (a) 1/2 (b) k (c) n
c
Let a = 0.5 - 14.5. Let v = a + 17. What is the closest to 2/7 in v, -3, -2/17?
-2/17
Let o = 46 + -49. Let p = -63 + 442/7. Which is the closest to 0.1? (a) p (b) o (c) 5
a
Let g = -0.03 - -3.03. Let o(d) = -d - 2. Let p be o(-2). What is the nearest to p in 0.2, 2, g?
0.2
Let s = -20 - -20.9. Let m = s - -1.1. Which is the closest to 2/5? (a) 5 (b) -3 (c) m
c
Suppose 2*r - 3*d = -2, 4*r - 18 = -3*d - 4. Suppose y = -r*y - 6. Which is the nearest to y? (a) 2 (b) 1 (c) -3
c
Let n = 57.3 + -57. Which is the closest to n? (a) 0.1 (b) 2 (c) 3/4
a
Let m be ((-2)/(-10))/((-30)/(-75)). What is the closest to 1 in m, 5, -0.2?
m
Let x = -4.99 + -0.01. Let i = 72 - 51. Let z be (7/i)/(5/(-6)). What is the closest to z in -2/5, x, 4?
-2/5
Let f = -48 - -43. What is the nearest to 0.1 in -1/3, 2, f?
-1/3
Let c = 4.072 + -0.072. Let r = 0 + -3. What is the nearest to 0.1 in c, 0.4, r?
0.4
Let t = -1363/1650 + -2/275. What is the nearest to 1 in 0, -0.1, t?
0
Let s(r) = r. Let d be s(2). Suppose 3*c + y = 6*y + 15, 0 = -c - d*y + 5. Suppose -4*o + 3*o = 1. What is the closest to o in 4, 0, c?
0
Let o = -8.7 + 9. Let x = -0.1 - o. Which is the closest to -1? (a) 2 (b) x (c) 0.2
b
Let i = -0.1 + 0.1. Let t = -1.059 + 0.059. Which is the closest to i? (a) -4 (b) -5 (c) t
c
Let d(p) = p**3 - 4*p + 3. Let f be d(2). Suppose r = -f*r + 16. Suppose 0*n = 3*y - 3*n, 5*y = r*n. Which is the nearest to y? (a) -0.3 (b) 0.5 (c) -2/7
c
Let r be 9/(-6)*(0 - (-16)/(-108)). Let l = -2 - 0. What is the nearest to r in 1, 2/11, l?
2/11
Let i(n) = -13*n - 1. Let j be i(5). Let c = 458/7 + j. What is the closest to -2/3 in c, 4, 0?
c
Let u = -29 - -26. What is the closest to 1 in 3, 2, u?
2
Let b = -112/205 - -6/41. What is the nearest to -0.1 in -4, -0.2, b?
-0.2
Let j = -2.28 - -0.08. Let q = -2.6 - j. Which is the nearest to 0.1? (a) q (b) 5 (c) 2/9
c
Let t be (-2 - (-12)/4)*-1. Let q = -15.7 - -15. Let p = q - 2.3. What is the nearest to t in -1/4, -5, p?
-1/4
Let z = 0.3 + -0.6. Which is the closest to z? (a) -0.3 (b) 4 (c) 2
a
Suppose -15 = -2*j - 17. Let d = -3.9 - -4. What is the nearest to d in j, 1, 2/5?
2/5
Let f = -10 + 10.4. Let d = f - 0.5. What is the nearest to d in 0.3, 5, -1?
0.3
Let t = -86 + 91. Which is the nearest to 1? (a) t (b) 1 (c) -5
b
Let j = -69 - -72. Let x = -0.01 - -4.01. What is the nearest to 0 in x, j, 2/9?
2/9
Let c = 56.1 + -56. What is the closest to c in 0.008, -1, 1/8?
1/8
Let z = 81 + -77. Which is the nearest to -2/7? (a) -0.12 (b) -5 (c) z
a
Let x = -2.31 - -2.2. Which is the closest to -2/7? (a) 1/6 (b) 0.2 (c) x
c
Let r = 2.727 + -0.027. Let f = -2 + r. Which is the nearest to f? (a) 2/11 (b) 2 (c) -0.4
a
Let z = 3 - -2. What is the closest to 2 in z, 3, 4?
3
Let d = 10 + -9. Let k = -6 + 5.8. Which is the nearest to -0.1? (a) k (b) d (c) -3
a
Let k = -0.3 + 0.4. Let o = 0.2 + 0. Let n = o - k. Which is the nearest to n? (a) 2/3 (b) 0.2 (c) 1
b
Let t(j) = j**3 + j - 4. Let k be t(0). Let z = -8 - -3. Let w = -6 - z. What is the closest to 2 in k, -4/5, w?
-4/5
Let o = 0.9 + -1. Let s(f) = f**2 + f + 3. Let h = 1 + -3. Let y be s(h). Which is the nearest to o? (a) y (b) -5 (c) 2/9
c
Let r = 6 - 8. Let a = r + -3. What is the closest to -1/4 in a, 1/3, 0.2?
0.2
Suppose -u - 4*i + 10 = 0, 5*u + i + 47 = 2. Let l be 5/u + 0/1. Let m = -13 - -13. Which is the nearest to 1? (a) m (b) l (c) 0.2
c
Let r be ((-1)/5)/((-61)/(-305)). Let f = -2.2 + 2. What is the closest to r in 0.1, -2, f?
f
Let s be -6 + (2 - (-28)/(-16)). Let k = 5 + s. Let n be 6/(-4) + (1 - 1). What is the nearest to k in n, 0.3, -4/9?
-4/9
Let r = -3.13 - -0.13. Which is the closest to 4? (a) r (b) -1/4 (c) 2/3
c
Let h = -89/3 - -29. Let r = 4 - 14. Let x = -8 - r. What is the nearest to -0.2 in -0.3, x, h?
-0.3
Let y = -9723899/35610 + 4096/15. Let g = y - 4552/13057. Let f = -2/11 - g. Which is the nearest to 1/3? (a) 2/13 (b) 0.2 (c) f
b
Let z = 500/3 + -165. Which is the nearest to 1? (a) z (b) -0.03 (c) 4
a
Let c(v) = v**3 + 4*v**2 + 3*v. Suppose -5*q + 5*g - 15 = 0, g - 5 = 3*q + 4. Let y be c(q). What is the closest to y in -4, 2/33, -2?
2/33
Let f = 7 + -7.7. Which is the nearest to f? (a) 0 (b) -2/3 (c) -1
b
Suppose 4*y - c - 8 = 0, 0*y - 2*y - 4*c = -4. What is the closest to -2 in -1/6, y, -3/7?
-3/7
Let j = -3 - -5. Let m = 32 + -31.6. Which is the closest to j? (a) m (b) -1 (c) 0
a
Let c = -4.7 - -0.7. Let o = c + -1. Let m = -65/24 + 27/8. What is the nearest to m in 5, o, 3?
3
Let j = -0.092 + 0.392. Which is the nearest to j? (a) -4 (b) 3/2 (c) -2
b
Let h = 786980/21 + -37468. Let a = 46/7 - h. What is the nearest to -1 in a, 0.5, 1/9?
a
Let v(h) = 5*h**2 - 4*h + 3. Let j be v(2). Let p be (j/(-4) - -3)*4. Which is the closest to 0? (a) p (b) 5 (c) -0.5
c
Let s = 44 + -49. Which is the closest to 0.1? (a) s (b) 0.2 (c) -2/9
b
Let i = 0 - -0.1. Let p = -4 - -4.9. Let n = 1 - p. Which is the closest to i? (a) -1 (b) n (c) 4
b
Let h = -0.1 + 1.1. Let r = 7 + -4. Let o = 2129/7 + -305. Which is the nearest to h? (a) 0.3 (b) r (c) o
a
Suppose -3*h - 2*h = 0. Let t be 2*(-2 + 5/3). Let s(o) = 4*o - 13. Let k be s(4). Which is the nearest to h? (a) t (b) k (c) 2/11
c
Let b = 0.9 - 0.8. What is the closest to 1/3 in 4, b, 0?
b
Let m be -1 - 0 - 84/(-60). Which is the closest to 3/2? (a) -0.5 (b) -4 (c) m
c
Let f = -13.5 - -14. Which is the nearest to 0.1? (a) 0 (b) 17 (c) f
a
Let o = 0 + -2. Suppose 1 - 7 = -2*f, -4*f = 4*r + 48. Let j be ((-1)/3)/(1/r). Which is the nearest to 2/3? (a) o (b) j (c) -0.4
c
Let b = 641/9 - 71. What is the closest to b in 0, -1/7, -1/2?
0
Let f = -132 + 656/5. Let x = -32 + 35 | {
"pile_set_name": "DM Mathematics"
} |
1 - -1. Suppose o - 2 = -v*o. Find the third derivative of 0*f**2 - 2*f**6 + f**2 + f**o wrt f.
-240*f**3
What is the third derivative of 3 - 1 - 4*z**4 + 6*z**2 - 2 wrt z?
-96*z
Let p(o) = -o**3 + 6*o**2 - o + 8. Let r be p(6). What is the first derivative of -22 - 3*l**r + 5 + 10 wrt l?
-6*l
Let b(q) = q**2 + 23*q + 5. Let h(k) = -11*k - 2. Let m(t) = -2*b(t) - 5*h(t). Find the second derivative of m(u) wrt u.
-4
Let d(a) = -a**2 + a - 1. Let s = 0 + 10. Let f(t) = -3*t**2 + 5*t - 6. Let u(i) = s*d(i) - 2*f(i). Find the first derivative of u(c) wrt c.
-8*c
Let t(a) = -3*a + 4. Let i(r) = r + 1. Let v(g) = 2*i(g) - t(g). What is the derivative of v(c) wrt c?
5
Let b(m) = -16*m**6 + 9*m**4 + 32*m**2 + 12*m. Let i(a) = -4*a**6 + 2*a**4 + 8*a**2 + 3*a. Let q(j) = -2*b(j) + 9*i(j). Find the third derivative of q(f) wrt f.
-480*f**3
Let t(n) = n - 8. Let q(a) = a + 4. Let s be q(6). Let x be t(s). Find the third derivative of -3*k**2 + k**2 + k**4 + 3*k**x wrt k.
24*k
Let l(c) be the first derivative of c**9/378 - 7*c**5/120 - 7*c**3/3 + 6. Let f(j) be the third derivative of l(j). Find the second derivative of f(y) wrt y.
160*y**3
Find the first derivative of 3*h**4 - 16*h**4 + 1 - 10*h**4 + 19 wrt h.
-92*h**3
Suppose 5*x = x + 4. Suppose 9*m = 12*m - 12. Differentiate -x + m*f**3 - 2*f**3 + 0 with respect to f.
6*f**2
Let s be 1 - (-3 - -3 - 1). What is the derivative of 2*r**2 + 1 - 1 - 5 + 3*r**s wrt r?
10*r
Differentiate -13*z + 2 - 18*z + 12*z + 4 wrt z.
-19
Let o(z) be the second derivative of -z**7/105 - z**4/12 + z**2/2 - 7*z. Let s(c) be the first derivative of o(c). What is the second derivative of s(a) wrt a?
-24*a**2
Let m(l) = -4*l. Let y(g) = g**2 + 7*g. Let z(q) = 5*m(q) + 2*y(q). What is the second derivative of z(c) wrt c?
4
Let l(n) = 5*n - 26. Let k(m) = m + 2. Let h(i) = 3*k(i) + l(i). Differentiate h(p) wrt p.
8
Let t(m) be the first derivative of 0*m + 0*m**2 - 5/4*m**4 + 2/3*m**3 - 7. What is the third derivative of t(z) wrt z?
-30
Let t(r) = 10*r**2 - 2*r. Let k be t(2). Let x be 80/k - (-2)/(-9). What is the third derivative of -2*l**x + 1 - 1 + 3*l**6 - l**6 wrt l?
240*l**3
Let f = 5 - 4. Let a = f + 3. Differentiate -a*v**3 + 3*v**3 + v**3 + 2*v**4 - 2 with respect to v.
8*v**3
Differentiate -2*f + f - 65 + 64 with respect to f.
-1
Find the second derivative of 2 - 2 + 9 - 8 + 10*j**4 - 22*j wrt j.
120*j**2
Differentiate 6*z**2 - 6 + 2 - 11*z**2 wrt z.
-10*z
Let h(m) be the first derivative of 2*m**7/105 + m**4/24 + m**2/2 + 2. Let b(n) be the second derivative of h(n). Find the second derivative of b(g) wrt g.
48*g**2
Let x(i) = 35*i**5 - 2*i**3 - 31*i**2 - 2. Let a(z) = -36*z**5 + 3*z**3 + 30*z**2 + 3. Let v(b) = -2*a(b) - 3*x(b). Find the third derivative of v(y) wrt y.
-1980*y**2
Find the third derivative of -1 - 12*n**2 - 2 + 13*n**6 + 3 wrt n.
1560*n**3
What is the second derivative of 41*j**2 + 2*j + 13*j + 3*j wrt j?
82
Let r(x) = 35*x**5 - 2*x**3 + 14*x**2 - 2*x. Let t(f) = 105*f**5 - 7*f**3 + 41*f**2 - 7*f. Let b(a) = 7*r(a) - 2*t(a). Find the third derivative of b(k) wrt k.
2100*k**2
Let r(i) be the second derivative of -i**3 - 5*i**2/2 - 3*i. Differentiate r(l) wrt l.
-6
Let j = 5 - -5. Suppose 0 = -d - d + j, -2*t - 12 = -4*d. What is the third derivative of k**4 - 2*k**t + 2*k**4 - 2*k**2 wrt k?
24*k
Let t = -4 - -7. Suppose t*w + 2*w = 20. Differentiate 1 + 0 - 3*d**4 + d**w with respect to d.
-8*d**3
Let r(f) be the third derivative of f**8/112 + f**4/24 - 20*f**2. What is the second derivative of r(i) wrt i?
60*i**3
Let f(n) be the third derivative of n**7/210 + 7*n**5/120 + n**3/3 + 4*n**2. Let y(q) be the first derivative of f(q). Find the second derivative of y(s) wrt s.
24*s
Let y(q) be the first derivative of 0*q**3 + 0*q**4 + 1 + 0*q + 5/2*q**2 + 2*q**5. Find the second derivative of y(m) wrt m.
120*m**2
Let b be (-6)/8*(-2 - 2). Suppose 2*d - 14 = -x, -3 = x - 2*d + b. Find the second derivative of q - 2*q**2 + 4 - x wrt q.
-4
Let k(i) = 7*i - 47. Let u be k(7). Let c(r) be the first derivative of -4/3*r**3 - 1 - 2*r**u + 0*r. Find the second derivative of c(b) wrt b.
-8
Let x(l) be the second derivative of 3*l**5/2 + l**2 + 16*l. Differentiate x(u) wrt u.
90*u**2
Let w be (-38)/(-9) + 8/(-36). Let g be (-2)/(-9) - 34/(-9). What is the second derivative of -w*z + 0*z**4 + 2*z - z**g wrt z?
-12*z**2
Let u(x) = -2*x - 6. Let a be u(-12). Let c be 1 + a/3 - 3. Find the third derivative of -48 + 48 - r**2 - c*r**3 wrt r.
-24
Let q(c) = -28*c**4 + 2*c**3 - 21*c**2 - 2. Let u(s) = 29*s**4 - 3*s**3 + 20*s**2 + 3. Let z(w) = -3*q(w) - 2*u(w). Find the third derivative of z(t) wrt t.
624*t
Let v(a) = -2*a + 40. Let b be v(20). Let n(i) be the second derivative of -i**2 + 2*i + 1/3*i**4 + 0 + b*i**3. Find the first derivative of n(f) wrt f.
8*f
Let k(f) be the third derivative of 9*f**5/20 + 2*f**4/3 - 21*f**2. What is the second derivative of k(w) wrt w?
54
Let f(r) = -1. Let h(b) = -11*b**3 - 25*b**2 - 6. Let i(s) = 6*f(s) - h(s). What is the third derivative of i(l) wrt l?
66
Let a(d) be the first derivative of 5*d**7/7 + 2*d**3/3 - 3. Find the third derivative of a(w) wrt w.
600*w**3
Let w(j) be the first derivative of 15*j**7/7 - 16*j**3/3 + 8. What is the third derivative of w(g) wrt g?
1800*g**3
Let s be (-4)/14 - (-60)/14. Find the first derivative of -1 + 3*k**2 - k - 3*k + s*k wrt k.
6*k
Let a(r) = -53*r**3 + 5*r + 41. Let o(b) = 27*b**3 - 2*b - 21. Let i(x) = -2*a(x) - 5*o(x). Find the first derivative of i(g) wrt g.
-87*g**2
Let l(o) be the first derivative of 0*o + 0*o**4 + 0*o**3 + 3 + 1/5*o**5 - 3/2*o**2. What is the second derivative of l(z) wrt z?
12*z**2
What is the third derivative of -5*h**5 + 14*h**5 - 20*h**5 + 2*h**2 wrt h?
-660*h**2
Let i(n) be the first derivative of -n**5/20 - n**4/12 + 3*n**2/2 - 3. Let t(b) be the second derivative of i(b). Find the second derivative of t(f) wrt f.
-6
Let r(q) = q**3 + 3*q**2. Let x be r(-3). What is the first derivative of 41*z - 4 - 43*z + x wrt z?
-2
Let y be (-2 - (-1 + (0 - 2))) + -1. Let a(b) be the first derivative of 1/2*b**2 + y*b - 2/3*b**3 + 2. What is the second derivative of a(g) wrt g?
-4
Let i(w) = 3*w - 2. Let c be i(2). Find the third derivative of c*n**2 + 2*n**4 + 3*n**2 - 4*n**2 wrt n.
48*n
Let n(k) be the second derivative of k**6/120 - k**3/2 + 3*k**2/2 + 4*k. Let l(b) be the first derivative of n(b). What is the first derivative of l(r) wrt r?
3*r**2
Let a(q) be the third derivative of 0*q + 0*q**3 - 1/24*q**4 + 1/30*q**5 + 0 - q**2. What is the second derivative of a(r) wrt r?
4
Let q(j) be the first derivative of 0*j**3 + 0*j - 2/5*j**5 - 6 + 0*j**4 + 4*j**2. Find the second derivative of q(a) wrt a.
-24*a**2
Suppose 5*g - 7*g - b = 0, 0 = g - 4*b - 18. Find the second derivative of o**3 - g*o**5 - o**3 + 3*o**5 + o wrt o.
20*o**3
Let x(p) be the third derivative of p**8/336 - p**5/40 + p**3/6 - 5*p**2. Let j(r) be the first derivative of x(r). Find the second derivative of j(a) wrt a.
60*a**2
What is the second derivative of -536*p**4 + 1 + 20*p + 555*p**4 - 1 wrt p?
228*p**2
Suppose 2*a + 12 = 6*a. What is the third derivative of -4*v**6 + 3*v**6 - a*v**2 + 4*v**6 wrt v?
360*v**3
Suppose 0 = 5*n + c - 6, 3*c + 0 + 6 = -3*n. What is the first derivative of u**3 - 13*u**2 - 3 + 13*u**n wrt u?
3*u**2
Let x(i) be the second derivative of i**6/15 - 2*i**5/15 + 9*i**2/2 + 6*i. Let h(s) be the first derivative of x(s). Find the third derivative of h(b) wrt b.
48
Let z(p) be the third derivative of p**8/6720 - p**6/144 + p**4/4 - 3*p**2. Let h(o) be the second derivative of z(o). Find the second derivative of h(y) wrt y.
6*y
Suppose -5 + 0 = -y. Find the second derivative of g + 7*g - 3*g**2 - y*g wrt g.
-6
Find the second derivative of -292*f**5 - 3*f**4 + 327*f**5 + 54*f + 3*f**4 wrt f.
700*f**3
Find the second derivative of -9*a**3 - 3*a + 28*a**2 - 28*a**2 wrt a.
-54*a
What is the third derivative of 0*l**2 - 4*l**2 - 38*l**3 + 30*l**3 wrt l?
-48
Let h(s) = 14*s**3 - 2*s**2 - 34*s. Let z(g) = 13*g**3 - 2*g**2 - 33*g. Let k(y) = -2*h(y) + 3*z(y). What is the second derivative of k(o) wrt o?
66*o - 4
Let d(j) = -5*j**3 + 3*j**2 + j. Let a(n) = -6*n**3 + 4*n**2 + 2*n. Let m = 5 - 9. Let s(i) = m*d(i) + 3*a(i). Find the s | {
"pile_set_name": "DM Mathematics"
} |
ore 8:42 AM?
6:26 AM
How many minutes are there between 4:25 PM and 6:59 PM?
154
What is 445 minutes after 9:36 PM?
5:01 AM
How many minutes are there between 2:23 AM and 4:38 AM?
135
What is 485 minutes before 10:47 AM?
2:42 AM
What is 135 minutes after 10:56 AM?
1:11 PM
What is 470 minutes after 9:04 AM?
4:54 PM
What is 421 minutes before 7:28 AM?
12:27 AM
What is 217 minutes before 1:15 PM?
9:38 AM
What is 145 minutes after 4:01 AM?
6:26 AM
How many minutes are there between 7:22 PM and 7:05 AM?
703
What is 616 minutes after 3:27 PM?
1:43 AM
How many minutes are there between 3:24 AM and 1:29 PM?
605
What is 154 minutes after 1:49 PM?
4:23 PM
How many minutes are there between 12:31 AM and 6:45 AM?
374
How many minutes are there between 4:37 PM and 8:00 PM?
203
How many minutes are there between 5:35 PM and 12:33 AM?
418
How many minutes are there between 1:02 PM and 8:21 PM?
439
What is 443 minutes after 4:29 AM?
11:52 AM
How many minutes are there between 5:31 PM and 11:38 PM?
367
How many minutes are there between 6:55 PM and 8:33 PM?
98
What is 584 minutes after 4:02 AM?
1:46 PM
What is 617 minutes after 8:07 AM?
6:24 PM
What is 543 minutes after 12:55 AM?
9:58 AM
What is 693 minutes before 12:48 AM?
1:15 PM
What is 51 minutes before 4:56 AM?
4:05 AM
How many minutes are there between 8:52 PM and 5:44 AM?
532
How many minutes are there between 7:28 AM and 10:13 AM?
165
How many minutes are there between 10:00 PM and 2:37 AM?
277
What is 144 minutes before 9:14 AM?
6:50 AM
What is 663 minutes after 11:44 PM?
10:47 AM
How many minutes are there between 12:00 PM and 3:51 PM?
231
How many minutes are there between 9:52 AM and 10:55 AM?
63
How many minutes are there between 4:21 PM and 7:44 PM?
203
How many minutes are there between 5:31 PM and 5:02 AM?
691
What is 644 minutes after 9:22 AM?
8:06 PM
How many minutes are there between 12:07 PM and 11:27 PM?
680
How many minutes are there between 8:23 PM and 3:42 AM?
439
How many minutes are there between 5:02 PM and 12:36 AM?
454
How many minutes are there between 2:55 AM and 3:35 AM?
40
How many minutes are there between 5:27 PM and 12:46 AM?
439
How many minutes are there between 10:50 AM and 4:22 PM?
332
What is 386 minutes after 6:11 AM?
12:37 PM
What is 260 minutes before 7:44 AM?
3:24 AM
How many minutes are there between 10:18 AM and 3:21 PM?
303
How many minutes are there between 6:00 PM and 2:11 AM?
491
What is 639 minutes after 1:04 AM?
11:43 AM
What is 505 minutes before 2:02 AM?
5:37 PM
What is 135 minutes before 2:52 PM?
12:37 PM
What is 665 minutes before 3:53 AM?
4:48 PM
What is 405 minutes before 1:32 AM?
6:47 PM
What is 652 minutes before 12:27 AM?
1:35 PM
How many minutes are there between 4:35 AM and 10:02 AM?
327
What is 625 minutes after 9:38 PM?
8:03 AM
What is 430 minutes after 7:00 AM?
2:10 PM
How many minutes are there between 11:31 PM and 10:35 AM?
664
What is 576 minutes after 3:24 PM?
1:00 AM
What is 149 minutes before 4:25 AM?
1:56 AM
How many minutes are there between 4:57 AM and 5:32 AM?
35
What is 36 minutes after 8:56 PM?
9:32 PM
What is 559 minutes before 9:48 AM?
12:29 AM
How many minutes are there between 8:23 AM and 11:19 AM?
176
What is 587 minutes after 3:19 PM?
1:06 AM
How many minutes are there between 7:46 PM and 11:43 PM?
237
How many minutes are there between 12:53 AM and 5:44 AM?
291
What is 430 minutes after 5:34 PM?
12:44 AM
What is 315 minutes before 2:21 AM?
9:06 PM
What is 40 minutes before 3:48 AM?
3:08 AM
How many minutes are there between 1:59 AM and 10:07 AM?
488
How many minutes are there between 8:43 AM and 4:09 PM?
446
How many minutes are there between 9:11 PM and 9:51 PM?
40
What is 689 minutes after 12:45 PM?
12:14 AM
How many minutes are there between 2:05 AM and 2:55 AM?
50
How many minutes are there between 5:18 PM and 2:24 AM?
546
How many minutes are there between 9:33 PM and 4:56 AM?
443
What is 63 minutes after 8:35 PM?
9:38 PM
How many minutes are there between 3:42 AM and 6:14 AM?
152
What is 117 minutes after 3:10 PM?
5:07 PM
What is 636 minutes after 9:17 PM?
7:53 AM
What is 142 minutes after 12:04 AM?
2:26 AM
What is 360 minutes before 10:58 PM?
4:58 PM
How many minutes are there between 9:26 AM and 8:38 PM?
672
How many minutes are there between 4:24 PM and 12:47 AM?
503
How many minutes are there between 6:03 AM and 10:01 AM?
238
How many minutes are there between 9:43 PM and 8:27 AM?
644
How many minutes are there between 8:46 PM and 3:24 AM?
398
How many minutes are there between 4:14 AM and 6:09 AM?
115
What is 270 minutes before 7:39 PM?
3:09 PM
What is 665 minutes before 2:04 PM?
2:59 AM
How many minutes are there between 2:11 PM and 4:18 PM?
127
What is 423 minutes before 8:52 AM?
1:49 AM
How many minutes are there between 4:21 PM and 9:04 PM?
283
How many minutes are there between 9:00 PM and 4:03 AM?
423
How many minutes are there between 5:12 PM and 6:50 PM?
98
What is 372 minutes before 10:30 PM?
4:18 PM
How many minutes are there between 3:11 PM and 4:41 PM?
90
What is 456 minutes after 8:19 AM?
3:55 PM
What is 491 minutes after 10:37 AM?
6:48 PM
What is 710 minutes before 1:24 PM?
1:34 AM
What is 2 minutes after 2:53 PM?
2:55 PM
How many minutes are there between 3:49 PM and 4:41 PM?
52
What is 388 minutes after 2:04 AM?
8:32 AM
How many minutes are there between 11:30 AM and 11:16 PM?
706
What is 584 minutes after 9:12 AM?
6:56 PM
How many minutes are there between 3:15 PM and 8:11 PM?
296
What is 468 minutes after 10:46 AM?
6:34 PM
What is 386 minutes after 1:49 AM?
8:15 AM
How many minutes are there between 12:16 PM and 1:06 PM?
50
How many minutes are there between 7:21 PM and 7:10 AM?
709
What is 423 minutes after 1:19 PM?
8:22 PM
What is 309 minutes after 11:45 PM?
4:54 AM
What is 270 minutes after 7:06 PM?
11:36 PM
What is 688 minutes after 4:30 AM?
3:58 PM
What is 538 minutes after 2:03 PM?
11:01 PM
What is 191 minutes before 8:20 PM?
5:09 PM
How many minutes are there between 5:53 AM and 5:55 AM?
2
What is 235 minutes after 8:40 PM?
12:35 AM
How many minutes are there between 3:44 AM and 7:44 AM?
240
How many minutes are there between 12:29 PM and 11:21 PM?
652
How many minutes are there between 9:42 PM and 7:52 AM?
610
What is 504 minutes after 6:23 PM?
2:47 AM
How many minutes are there between 12:45 PM and 8:35 PM?
470
How many minutes are there between 6:48 PM and 12:30 AM?
342
What is 54 minutes after 6:53 AM?
7:47 AM
How many minutes are there between 6:51 AM and 5:22 PM?
631
How many minutes are there between 7:10 AM and 5:37 PM?
627
What is 419 minutes before 8:21 AM?
1:22 AM
What is 76 minutes after 3:16 PM?
4:32 PM
How many minutes are there between 3:52 PM and 8:16 PM?
264
How many minutes are there between 3:04 AM and 6:10 AM?
186
How many minutes are there between 10:36 AM and 12:05 PM?
89
What is 404 minutes after 3:17 AM?
10:01 AM
How many minutes are there between 2:44 PM and 12:32 AM?
588
What is 152 minutes after 1:20 PM?
3:52 PM
How many minutes are there between 7:36 PM and 9:20 PM?
104
How many minutes are there between 8:40 PM and 6:16 AM?
576
What is 69 minutes before 12:08 AM?
10:59 PM
What is 159 minutes before 3:51 PM?
1:12 PM
How many minutes are there between 7:54 AM and 4:57 PM?
543
What is 418 minutes after 12:42 AM?
7:40 AM
How many minutes are there between 4:30 AM and 11:53 AM?
443
What is 664 minutes after 10:58 AM?
10:02 PM
What is 584 minutes after 12:28 AM?
10:12 AM
What is 596 minutes after 10:55 AM?
8:51 PM
How many minutes are there between 4:31 PM and 10:24 PM?
353
How many minutes are there between 10:32 AM and 4:26 PM?
354
What is 609 minutes after 7:50 AM?
5:59 PM
What is 373 minutes before 8:10 AM?
1:57 AM
How many minutes are there between 12:54 PM and 1:48 PM?
54
How many minutes are there between 9:26 PM and 5:42 AM?
496
How many minutes are there between 2:03 AM and 3:03 AM?
60
What is 48 minutes before 1:06 AM?
12:18 AM
How many minutes are there between 5:25 AM and 7:44 AM?
139
What is 692 minutes before 1:55 AM?
2:23 PM
How many minutes are there between 12:22 AM and 10:56 AM?
634
What is 322 minutes before 2:50 AM?
9:28 PM
How many minutes are there between 7:30 PM and 7:49 PM?
19
How many minutes are there between 12:14 PM and 11:42 PM?
688
| {
"pile_set_name": "DM Mathematics"
} |
eatest common divisor of z and a.
8
Let d be ((-18)/(-4) - 2)/(14/28). Let k be ((-118)/(-295))/((-2)/(-5)). Calculate the highest common factor of k and d.
1
Let w = 37 - 17. Suppose 0 = -1269*a + 2458 + 48302. Calculate the highest common factor of w and a.
20
Let s = -11731 - -11739. Calculate the greatest common divisor of s and 1352.
8
Let b = -2868 - -2960. Calculate the highest common factor of 88 and b.
4
Let q be (15/12)/((-10)/(-40)). Suppose -2*r = 3*h - 641, q*h + 10*r = 6*r + 1065. Calculate the highest common factor of 62 and h.
31
Let i = 731 + -716. Let t = -137 - -332. Calculate the greatest common factor of i and t.
15
Suppose 139685 - 191067 = -26*b + 359288. What is the highest common divisor of 702 and b?
351
Suppose 158*v = 371719 + 18857. What is the greatest common divisor of v and 6?
6
Let f(v) = 13*v + 1235. Let k be f(-90). What is the highest common factor of 3484 and k?
13
Suppose 3*i = 119 + 7. Suppose 0 = 73*m - 8022 - 3220. What is the highest common divisor of m and i?
14
Let a(k) = 3*k - 30. Let v(f) = f**2 + 7*f - 60. Let p(i) = -5*a(i) + 3*v(i). Let t be p(-5). What is the highest common divisor of t and 255?
15
Let l(c) = 16*c + 3. Let s be l(6). Let f = -80 + -8. Let d be f/20*(-4)/((-16)/(-10)). What is the highest common factor of s and d?
11
Suppose -15*y + 11*y = -4*c - 1496, -5*c = -2*y + 760. Calculate the greatest common factor of 620 and y.
10
Let t be 1/(-5) + (-171)/95. Let b(w) = 53*w**2 - w + 1. Let f be b(t). Let v = f + -117. Calculate the highest common divisor of 14 and v.
14
Suppose -2*x - 2*v + 9 = -x, 0 = -4*x - 5*v + 21. Let c be (19 - 11)*x/(-2). Let n be (-4)/(-2) + 41 - -1. What is the greatest common divisor of c and n?
4
Suppose 0 = -23*r - 0*r + 2484. Calculate the highest common factor of 204 and r.
12
Let t = -366 + 370. Suppose -t*g = -2*g - 5*v - 54, 4*g + 2*v - 84 = 0. What is the highest common factor of 209 and g?
11
Let m(r) = r**3 + 42*r**2 + 408*r + 60. Let i be m(-25). What is the greatest common factor of 1552 and i?
97
Let y(o) = -5*o + 4. Let i be y(1). Let m be 24*(i/2)/((-6)/4). Suppose 3*f = m*f - 2*u - 65, 2*u = 0. What is the greatest common factor of 130 and f?
13
Let c be -4*4/(-80) + 9/5. Suppose 3*y - 16 = 14. Let a be y/(-4)*(-40)/25. Calculate the greatest common factor of c and a.
2
Suppose -5*y - 5*d = -y - 3773, 0 = y + 4*d - 924. What is the highest common divisor of y and 119?
119
Suppose -5*y + 2*j + 3*j = -330, -3*y - j = -194. Suppose 9*u + 5*q = 8*u + y, -3*u = 3*q - 219. Calculate the highest common divisor of 150 and u.
75
Let k be ((-14)/4)/((-5)/10). Let y(c) = -25*c - 148. Let r be y(-9). What is the greatest common divisor of r and k?
7
Suppose -3*g - 2*o = 1109, -1845 = 5*g + 24*o - 19*o. Let j = -357 - g. What is the greatest common factor of 406 and j?
14
Let t(r) = -r - 10. Let c(k) = k + 9. Let d(s) = -5*c(s) - 4*t(s). Let i be d(-10). Suppose i*g + g - 72 = 0. What is the highest common factor of g and 120?
12
Let r(x) = 2*x**2 + 39*x + 170. Let t be r(-29). Let s = -646 + t. What is the greatest common divisor of s and 125?
25
Let s(b) = -159*b - 2104. Let m be s(-14). Calculate the greatest common factor of 5551 and m.
61
Suppose -52*p = 3115 - 10551. Let u(g) = -3*g**3 - 4*g**2 - 4*g - 5. Let q be u(-3). What is the greatest common factor of q and p?
13
Let j(b) = b**2 - 2*b + 6. Let s be (-150)/(-39) - (-4)/26. Let p be j(s). What is the greatest common divisor of p and 154?
14
Let p = -7927 - -8572. What is the greatest common divisor of p and 430?
215
Let f(w) = -w**2 - 24*w + 1164. Let t be f(-48). Let j = 11 + -8. Suppose 0 = u - j*a - 20 - 19, 0 = 4*a + 20. Calculate the highest common divisor of u and t.
12
Let t(r) = r**2 + 1. Let p(o) = 4*o**2 - o - 6. Let g(l) = -p(l) + 6*t(l). Let h be g(6). Calculate the highest common divisor of h and 120.
30
Let x = 612 - 284. Let w = -218 + x. Suppose -3*m + 0*m + 30 = 0. Calculate the greatest common factor of m and w.
10
Suppose 2 = 5*b + 4*h, -3*h - 47 + 45 = 2*b. Let p be 49/((-3 + 4)/b). What is the highest common factor of p and 28?
14
Let b be 116/2 + (2 - 0 - 0). Let t(s) = -s**3 + 9*s**2 + 4*s - 11. Let w be t(9). Let y = -13 + w. Calculate the highest common factor of y and b.
12
Suppose -475*u - 29260 = -585*u. Calculate the highest common divisor of 50008 and u.
266
Let o = -9328 - -14306. What is the greatest common divisor of 114 and o?
38
Suppose -202 + 223 = -7*s. Let a be ((-75)/(-200))/(s + (-25)/(-8)). Calculate the greatest common factor of 33 and a.
3
Let j(q) = q**3 + 24*q**2 + 71*q - 6. Let h be j(-11). Calculate the greatest common factor of h and 12.
6
Let k = -2896 - -2962. What is the greatest common factor of k and 4620?
66
Let f = -1409 + 1850. Calculate the highest common factor of 189 and f.
63
Suppose 3*p - 33 = -5*b, -2*p + p = -2*b. Let t be (p + -82)*(3 + -2)*-1. What is the highest common factor of t and 342?
38
Suppose 28*o - 9*o + 342 = 0. Let j be 11532/27 - (-2)/o. Calculate the greatest common divisor of 61 and j.
61
Suppose 655*r - 662*r = -399. What is the highest common divisor of 38 and r?
19
Let g(u) = -6*u + 271. Let m be g(42). Let r(y) = 22*y**3 + y**2 - 5*y + 1. Let p be r(2). Calculate the greatest common divisor of p and m.
19
Suppose -2*r = 5*n - 9, 1 = 5*n - r - 2. Suppose 0 = -43*t + 56*t - 91. What is the greatest common divisor of n and t?
1
Suppose -550*h = -564*h + 1568. Calculate the highest common divisor of 574 and h.
14
Suppose -21*n + 10*n + 528 = 0. Let m = 60 - 24. Calculate the greatest common divisor of m and n.
12
Let g be 1 + -1 - 2 - -13. Let c(q) = -906*q + 4563. Let n be c(5). What is the greatest common divisor of g and n?
11
Let x be (-28)/(-28)*-2*(-19)/2. Let q(i) = 2*i**2 - i - 1. Let y be q(2). Let a = y + x. What is the highest common divisor of 6 and a?
6
Let n(c) = 20*c. Let p be n(3). Suppose -t = 2*t - p. Let v(g) = -2*g**2 - 204*g + 11826. Let h be v(-143). Calculate the greatest common divisor of t and h.
20
Let o be 10 - 1 - 225/(-15). What is the highest common factor of o and 824?
8
Suppose 8574*k - 4554 = 8568*k. What is the greatest common factor of k and 828?
69
Suppose 22*t + 39 = 35*t. Calculate the highest common factor of 573 and t.
3
Let i(k) = k**3 + 15*k**2 + 34*k - 12. Let c be i(-11). Suppose 7*b = 343 + c. Calculate the highest common factor of b and 18.
9
Suppose -36*f - 1658 = -3*h - 34*f, -4*h + 3*f + 2211 = 0. What is the greatest common divisor of h and 354?
6
Let k be -4 - (-39)/9 - 10/3. Let x be ((-5)/k*10)/((-45)/(-135)). What is the highest common factor of 20 and x?
10
Let j(i) = 4*i**2 - 53*i + 595. Let d be j(7). Let s be (-39)/(-4) + 4/16. Calculate the highest common factor of d and s.
10
Let v(k) = 1120*k**2 - 12*k + 3. Let t be v(-6). Let x be 60/(-27) + 2 - t/(-135). Calculate the greatest common divisor of 23 and x.
23
Let h(x) = -x**3 + 23*x**2 - 39*x - 20. Let k be h(20). Suppose -1368 - k = -17*n. What is the highest common divisor of n and 65?
13
Let s be 3/(-15) - 1024/(-20). Suppose -70 = -10*r + 100. Calculate the highest common divisor of s and r.
17
Let v = -95 + 119. Let n = -29 - -257. Let z = n - 132. What is the highest common factor of z and v?
24
Suppose y + 17 = 115*o - 120*o, 104 = 5*y - 2*o. Calculate the greatest common factor of y and 17478.
18
Let j(c) = 10*c**3 + c**2 - c - 1. Let u be j(-1). Let n = 11 + u. Let b be (1 - n)/1 - -27. Calculate the highest common factor of 13 and b.
13
Suppose -2*f - 5*d = -7*d - 46, 37 = 2*f + d. What is the greatest common divisor of f and 215?
5
Let g be (60/16)/(-5) + 15/(-12). Let d = 152 - g. Calculate the greatest common divisor of d and 22.
22
Let q(g) be the first derivative of -2*g**2 - 4*g - 17. Let k be q(-3). Suppose -k = -4*w, -2 = n - 0*n - 5*w. What is the highest common divisor of 8 and n?
8
Suppose -3*z = 3, -z - z = -3*w + 74. Suppose -7*n + 433 = 55. Calculate the highest common factor of n and w.
6
Suppose 5*w = -21*w + 1638. Suppose -w = -10*a + 77. Let l be 3/(3*(-3)/(-378)). Calculate the greatest common divisor of a and l.
14
Let l = -269 - -269. Suppose c + 4*h - 44 = -h, l = -5*c + h + 220. What is the greatest common factor of 176 and c?
44
Let c(v) = -94*v + 708. Let k be c(6). | {
"pile_set_name": "DM Mathematics"
} |
r?
9200
How many millilitres are there in 1/4 of a litre?
250
What is 7.648078 decades in centuries?
0.7648078
What is one twentieth of a litre in millilitres?
50
How many kilograms are there in 29/5 of a tonne?
5800
What is 6.62665 hours in minutes?
397.599
How many nanometers are there in 86.88017km?
86880170000000
How many centimeters are there in 895012.3 kilometers?
89501230000
Convert 480.04 milligrams to grams.
0.48004
What is fifty-two thirds of a hour in minutes?
1040
How many grams are there in twenty-nine halves of a kilogram?
14500
How many nanoseconds are there in 8/25 of a microsecond?
320
What is three eighths of a tonne in kilograms?
375
How many litres are there in 42.2539 millilitres?
0.0422539
How many millilitres are there in 13/5 of a litre?
2600
What is eighteen fifths of a micrometer in nanometers?
3600
How many centuries are there in 114445.9 millennia?
1144459
How many millilitres are there in 1882.372 litres?
1882372
How many millimeters are there in 18/5 of a centimeter?
36
What is 48801160.8ns in weeks?
0.00000008068975
How many seconds are there in 881.4075 minutes?
52884.45
Convert 35097.72 months to years.
2924.81
What is 77.04015 days in minutes?
110937.816
Convert 28.412361s to hours.
0.0078923225
What is 13/5 of a millennium in centuries?
26
What is 17/2 of a millimeter in micrometers?
8500
How many millilitres are there in 99371.94 litres?
99371940
How many millimeters are there in 3/5 of a meter?
600
What is 810415.2 milligrams in micrograms?
810415200
What is 969.1228 milligrams in grams?
0.9691228
What is 88.47761ng in kilograms?
0.00000000008847761
Convert 269560.2 tonnes to milligrams.
269560200000000
What is 88.19664 nanometers in millimeters?
0.00008819664
How many millilitres are there in 11/2 of a litre?
5500
How many millilitres are there in 25/4 of a litre?
6250
What is fourty-four fifths of a century in years?
880
What is 1.5887841ms in minutes?
0.000026479735
How many millilitres are there in 6/5 of a litre?
1200
How many months are there in eight thirds of a millennium?
32000
How many millilitres are there in 13/8 of a litre?
1625
What is 83.2931 litres in millilitres?
83293.1
What is 3/5 of a litre in millilitres?
600
Convert 0.9763335 centimeters to meters.
0.009763335
How many micrometers are there in 21/8 of a millimeter?
2625
How many millilitres are there in 3099.56 litres?
3099560
How many hours are there in 84934.242s?
23.592845
How many millennia are there in 25255.959 months?
2.10466325
How many millilitres are there in twenty-five eighths of a litre?
3125
What is 25/4 of a meter in millimeters?
6250
Convert 62913.9 micrograms to kilograms.
0.0000629139
How many millilitres are there in 5/4 of a litre?
1250
How many grams are there in 590.5837mg?
0.5905837
How many nanograms are there in 52.82585 grams?
52825850000
What is twenty-seven fifths of a gram in milligrams?
5400
What is 1/4 of a week in minutes?
2520
What is 0.6000601 kilometers in centimeters?
60006.01
What is three tenths of a millimeter in micrometers?
300
Convert 27774.86l to millilitres.
27774860
Convert 2831.755 kilograms to nanograms.
2831755000000000
What is 8948.274ml in litres?
8.948274
How many micrometers are there in 919652.3 centimeters?
9196523000
What is 9.62153 millilitres in litres?
0.00962153
How many hours are there in 3/7 of a week?
72
How many millilitres are there in 3/40 of a litre?
75
What is 4994.69cm in millimeters?
49946.9
What is thirteen fifths of a millennium in decades?
260
How many centimeters are there in 6/5 of a meter?
120
What is 0.837112g in tonnes?
0.000000837112
What is 38880.89 days in nanoseconds?
3359308896000000000
What is 73.31842 nanoseconds in milliseconds?
0.00007331842
What is 90068.2 centimeters in meters?
900.682
What is 7/6 of a hour in seconds?
4200
What is 726.072 decades in years?
7260.72
How many nanometers are there in one fifth of a micrometer?
200
How many months are there in seventeen quarters of a year?
51
What is three fifths of a litre in millilitres?
600
What is 7.713723 millennia in months?
92564.676
How many milligrams are there in one sixteenth of a kilogram?
62500
Convert 6.150453 millilitres to litres.
0.006150453
How many years are there in 7272.385 centuries?
727238.5
What is 7/4 of a kilometer in meters?
1750
What is 7/6 of a year in months?
14
What is 6.40432 kilograms in grams?
6404.32
How many millilitres are there in 127.3965 litres?
127396.5
What is 8732.641 meters in centimeters?
873264.1
What is 1092.982 days in milliseconds?
94433644800
How many decades are there in seven halves of a millennium?
350
How many micrometers are there in 176022.8 kilometers?
176022800000000
Convert 180741.06 months to years.
15061.755
What is fifteen quarters of a microgram in nanograms?
3750
Convert 24.87947 millennia to years.
24879.47
What is 17425.242 months in decades?
145.21035
How many micrometers are there in 21/8 of a millimeter?
2625
How many kilometers are there in 37.8626cm?
0.000378626
What is 0.6394292mg in nanograms?
639429.2
How many millilitres are there in 90354.16l?
90354160
How many nanograms are there in 1/4 of a microgram?
250
What is 7/4 of a micrometer in nanometers?
1750
What is 26/5 of a century in months?
6240
What is 55/4 of a tonne in kilograms?
13750
How many millilitres are there in 0.9052872l?
905.2872
What is 27/4 of a litre in millilitres?
6750
What is 0.7525954 litres in millilitres?
752.5954
Convert 143249.8473 microseconds to weeks.
0.00000023685490625
What is thirteen quarters of a century in months?
3900
How many months are there in 28/15 of a decade?
224
How many milligrams are there in 3/25 of a gram?
120
What is three fifths of a litre in millilitres?
600
How many centimeters are there in 1/10 of a meter?
10
How many micrometers are there in 6395.491nm?
6.395491
How many milliseconds are there in 798.3172 hours?
2873941920
What is 949.3989 tonnes in kilograms?
949398.9
What is 88.55209mm in micrometers?
88552.09
How many grams are there in 1/10 of a kilogram?
100
What is 11/8 of a kilometer in meters?
1375
How many centimeters are there in three fifths of a meter?
60
What is eleven quarters of a litre in millilitres?
2750
How many decades are there in 0.1179201 months?
0.0009826675
What is 292.2378 litres in millilitres?
292237.8
How many nanoseconds are there in 2254.76 weeks?
1363678848000000000
How many grams are there in 3/25 of a kilogram?
120
How many milligrams are there in 51.76051 tonnes?
51760510000
What is 0.6739487ml in litres?
0.0006739487
What is 9539.362 centimeters in kilometers?
0.09539362
Convert 554.0534 millennia to months.
6648640.8
How many meters are there in 32/5 of a kilometer?
6400
What is 68411.58 years in millennia?
68.41158
How many decades are there in 42/5 of a century?
84
How many milligrams are there in 53/4 of a gram?
13250
How many milligrams are there in 3/32 of a kilogram?
93750
How many millilitres are there in 0.3373848 litres?
337.3848
What is three eighths of a centimeter in micrometers?
3750
What is 840067.4 years in months?
10080808.8
Convert 6270.76 micrometers to centimeters.
0.627076
How many millilitres are there in 5125.431l?
5125431
What is 415274.5 minutes in nanoseconds?
24916470000000000
How many millilitres are there in 13/5 of a litre?
2600
What is 5.185644 decades in centuries?
0.5185644
What is fifty-seven fifths of a century in years?
1140
What is four thirds of a century in months?
1600
Convert 98619.51 millilitres to litres.
98.61951
What is 1/4 of a century in years?
25
Convert 0.0885137cm to micrometers.
885.137
What is 78644.25cm in kilometers?
0.7864425
Convert 4656.027t to nanograms.
4656027000000000000
How many microseconds are there in 0.5266025 days?
45498456000
How many micrometers are there in three fifths of a centimeter?
6000
Convert 46260.32ug to kilograms.
0.00004626032
Convert 800.727 months to decades.
6.672725
Convert 51193.34 litres to millilitres.
51193340
How many seconds are there in 40.6204 hours?
146233.44
What is fifty-five quarters of a century in months?
16500
How many micrograms are there in 1516.542t?
1516542000000000
What is 6728.68 litres in millilitres?
6728680
How many millilitres are there in 685640.8l?
685640800
How many millisecon | {
"pile_set_name": "DM Mathematics"
} |
= 3*c - 0*c - i, -8 = -4*i. Solve -c*q + 0 - 2 = 0 for q.
-1
Let i = -1 + 8. Let a be (-6)/(-7)*i/(-1). Let n be (-3)/(-9) + (-4)/a. Solve -n + 7 = 2*t for t.
3
Suppose -10*n + 24 = -6*n. Let i be (2/3)/((-1)/(-3)). Suppose 115 = d + 4*d - i*h, 0 = 3*d - 3*h - 60. Solve d = -n*r + r for r.
-5
Let x(y) = 3*y + y - 3*y. Let p be x(3). Let t(r) = -r. Let l be t(-5). Solve l = 2*o + p for o.
1
Let t be 0/(1/((-4)/(-8))). Solve t*f + 4 = -2*f for f.
-2
Let h be (24/84)/((-1)/(-7)). Solve -1 = -k + h for k.
3
Suppose 0 = -2*p + 5*u - 5, 0*p - u = -2*p + 7. Let q(z) = -3*z - 1 - 2*z**2 + 0*z**2 + z**2. Let d be q(-2). Solve 2*a + p = d for a.
-2
Suppose -2*q + 5 = 4*k - 17, 0 = 2*k - 4*q + 14. Solve -s + 2 = k for s.
-1
Let d(y) = -2*y - 30. Let r be d(-15). Solve r = -4*s + 2*s + 10 for s.
5
Let d = 5 + -3. Let f be 0 + d/2 + -1. Solve k + 3*k = f for k.
0
Let o = 58 + -39. Solve -4*f - o = -3 for f.
-4
Let s(w) be the second derivative of -w**4/12 - 4*w**3/3 + 6*w**2 + 2*w. Let r be s(-9). Suppose 5*l = 4*h - 27, -r*h - 5*l = -0*h + 6. Solve -i = h*i for i.
0
Let r = -5 - -5. Suppose r = 3*b - 12 - 9. Solve b*z = 3*z for z.
0
Let t = 29 + -24. Solve m = t - 1 for m.
4
Let q = 16 - 26. Let t be 21/6 + 5/q. Solve -8 = 5*d - t for d.
-1
Let y = -22 - 14. Let b = y + 54. Let i be 81/b + (-1)/2. Solve 3*v - 4*v + i = 0 for v.
4
Suppose -3*w = -5*l - 5*w + 42, -1 = -w. Let k be (-40)/5 + -2 + 3. Let f = l + k. Solve f = -p + 3 for p.
2
Let v be 6*((-1)/2 + 1). Solve 0*a + v*a = -12 for a.
-4
Let u(k) = k**3 + 3*k**2 + k + 1. Let z be u(-2). Solve z*g - 14 = 1 for g.
5
Let c be 204/42 + 1/7. Solve -v = c - 1 for v.
-4
Let j be (-1)/((-5)/2) + (-6)/15. Solve y + j = 2 for y.
2
Let x be 1*4*(-3 + 5). Let j = -4 + 6. Solve 4*n + x = j*n for n.
-4
Suppose 77 = z - 5*s, -z + 0*s = s - 47. Suppose n + 4*n - z = -4*u, 2*n - 52 = -4*u. Solve 0 = 3*r + 4 - u for r.
3
Suppose 0*n - 4*n - 16 = 0. Let w = 11 - n. Solve -4*g = w + 1 for g.
-4
Suppose -3*m + 6 = -4*p, 0*m = -4*p - m + 2. Let a(c) = -c**2 + c + 2. Let w be a(p). Solve w*o + o = -6 for o.
-2
Suppose -h + 20 = -3. Let o = 29 - h. Solve -o*c + c - 15 = 0 for c.
-3
Suppose -2*t - 2*t - 120 = 0. Let n be (16/20)/((-2)/t). Solve -n = 2*w + w for w.
-4
Suppose 5*n = -0*n + 40. Suppose -2*v - n = -3*v. Suppose k = -k + v. Solve -k*t - 11 = -27 for t.
4
Let q(h) = -h**3 - 4*h**2 + 4*h - 1. Let o be q(-5). Suppose -2*w + o = -w. Let i(f) = 5*f. Let s be i(1). Solve 0 = -3*x + w*x - s for x.
5
Let d = -14 + 14. Solve d = 5*m - 11 + 1 for m.
2
Let x(s) = s + 1. Let g be x(0). Let b = 1 + -4. Let w = 7 + b. Solve n - w = g for n.
5
Suppose -4*o + 6 = -o, 19 = 3*c + 2*o. Solve -2*m + c = -1 for m.
3
Let p = 14 - 12. Suppose p*a - 4 = a. Solve -a*t = t for t.
0
Suppose -4*f - 2 = -10. Solve f*h - 4*h - 6 = 0 for h.
-3
Let d(k) = -k**3 + 21*k**2 + 25*k - 32. Let o be d(22). Solve 5*c = -9 + o for c.
5
Let k be (28 - 13)/(((-2)/(-1))/2). Solve k = 2*b + 5 for b.
5
Let q(y) be the first derivative of -y**4/4 - 3*y**3 - 4*y**2 + 2*y - 7. Let g be q(-8). Solve -u - 3 - g = 0 for u.
-5
Let m = 4 - 3. Let p = 3 + -2. Let u be p/2*20/m. Solve -j + u = j for j.
5
Suppose 0 = 3*s - 12*s + 27. Solve -3*f + s = -0 for f.
1
Let c(w) = -w + 23. Let u be c(10). Solve -3 + u = -2*k for k.
-5
Suppose 0 = c + c. Suppose -4*n + 6*n - 10 = c. Solve -n*r + 5 = -5 for r.
2
Let u(d) = -5*d - 4*d - d**2 + 14 + 5*d. Let i be u(-6). Solve -4*r + i*r + 4 = 0 for r.
2
Let f(k) be the third derivative of k**4/24 + 7*k**3/6 - 3*k**2. Let c be f(0). Solve -5 = -4*h + c for h.
3
Suppose -2*g + 6 = -0*g. Suppose 4*i - 4*n = 32, -5*i - 2*n = -4*n - 43. Solve -g*o = 24 - i for o.
-5
Let q = 13 + -11. Suppose 4*n + 14 = -q*w, -5*w + n + 25 = -n. Solve -2 - w = z for z.
-5
Suppose l = 4*w + 2, 5*w + l = -3 - 4. Let g be (-2 - -2)*w - -7. Suppose -f + 1 = -g. Solve -f + 0 = -4*d for d.
2
Let m(q) = -2*q**3 - 2*q**2 + 9*q + 4. Let k(i) = i. Let h(r) = -4*k(r) + m(r). Let y be h(-3). Solve -2*u + y = 3*u for u.
5
Suppose 2*j = 2*q - 0 + 8, 4*q + 2*j = 8. Suppose 5 = 2*h - 3*o, 0 = -q*h - 4*h - 4*o. Suppose -9 = i + 5*a, a = -5*i - h + 4. Solve -f + 0 = i for f.
-1
Let y(t) = t**3 - 4*t**2 + t. Let n be y(4). Let k be 3 + -2 + (-3)/(-3). Suppose -k*l = -3*l + 3. Solve n = -2*a + l*a for a.
4
Let y(n) = 3*n**3 - 2*n**2 - 7*n**3 + n**3 + 2 + 6*n + 2*n**3. Let w be y(-4). Solve w = -a - a for a.
-5
Suppose 2 - 8 = -f. Suppose 0 = 5*i - f + 1. Let v be i/(-2)*(-4 + 4). Solve v = 4*x - 4 - 16 for x.
5
Let a be 3*((-28)/12 + 3). Let d(p) = 2*p**3 - 4*p**2 + 3*p - 2. Let w be d(a). Solve 8 + w = -3*q for q.
-4
Let f = 0 - -5. Suppose 5*o + 2*l - 21 = 0, 5 = f*l - 10. Solve o*v = -2*v for v.
0
Suppose -2*l - 3*z + 1 = -4*l, 2*l + z = 11. Solve l*r - 19 = 1 for r.
5
Let k be (7 - 1)/2 - -3. Solve 2*d = k*d + 20 for d.
-5
Let k(a) = 9*a - 18. Let l(p) = -4*p + 9. Let u(h) = 2*k(h) + 5*l(h). Let z be u(4). Solve z = -b - 1 for b.
-2
Let f(a) = -a - 10. Let h be f(-14). Solve h*j + 18 = 2 for j.
-4
Suppose -50 = -2*p - 0*p + 3*s, 5*p = 5*s + 120. Let o = -12 + p. Let d = -7 + o. Solve d*a + 10 = 5*a for a.
5
Let b(w) = -3*w - 3*w**2 + 2*w**2 - 1 + w. Let q be b(-1). Suppose q*j = j - 3. Solve j*f + 2*f + 15 = 0 for f.
-3
Suppose -2 = -g, u + 0*u - 5*g + 8 = 0. Let r(d) = d**3 - 9*d**2 + 9*d - 7. Let c be r(8). Solve c + u = a for a.
3
Suppose 4*b - 83 = -23. Let g(w) = 3*w. Let y(r) = -10*r - 1. Let j(x) = -7*g(x) - 2*y(x). Let v be j(-3). Solve -v*n + 0 = -b for n.
3
Suppose -5*k + 64 - 19 = 5*n, 3*k + 4*n = 29. Solve s + 6 - k = 0 for s.
1
Let w be (-1)/(-1)*(-1 - -6). Solve 4*o + w = -o for o.
-1
Let c be (-3)/6 + 42/12. Solve 0*p - p = -c for p.
3
Suppose -y = d - 8, 0 = 2*y - 5*d - 0*d + 19. Suppose -j + 4*j + y*c - 15 = 0, 25 = 3*j + 5*c. Solve j = -3*p - 0*p for p.
0
Let p = 119 + -114. Solve -4 = -p*w + 1 for w.
1
Let m(i) = i + 6. Let f(s) = 1 - s + 5 + 0 - 5. Let q be f(5). Let y be m(q). Solve 17 = -5*k + y for k.
-3
Let d(z) = -z - 1. Let p be d(-4). Solve 0 = -p*a + 1 + 14 for a.
5
Let n(z) = z - 2. Let t(l) = 1. Let s(a) = n(a) - 4*t(a). Let o be s(6). Let u = 6 + -3. Solve o*b - u = -b for b.
3
Let a(z) = z - 13. Let g be a(18). Solve -21 = g*k - 1 for k.
-4
Let p(i) = -i**2 + 7*i - 2. Let j be p(6). Suppose 2*v = -2*a - 6, 3*a + 13 = j*v + 2*a. Solve v*f - 15 = -3*f for f.
3
Suppose -1 + 16 = 3*w + 3*b, -w + 3*b + 1 = 0. Solve 3*n = w*n for n.
0
Let r = -1 + 8. Let l be (-2)/2*(r + -7). Solve l = -2*y + 11 - 3 for y.
4
Suppose -4 - 26 = -6*j. Let y be -1*(2 - 7) - 2. Suppose 0*n - 5*n + 10 = 0. Solve j*b - y*b = n for b.
1
Suppose 0 = -4*b - b + 205. Suppose 0 = -5*z - 3*a + 80, -5*z + 3*z + b = 3*a. Let t = z + -8. Solve -5*f + t = -10*f for f.
-1
Let m be ((-12)/(-10))/((-12)/(-40)). Suppose -2*k + 16 + 2 = 0. Let x be (k/4)/((-2)/(-8)). Solve w - m*w = -x for w.
3
Let i(y) = y**2 - 11*y - 9. Let d be i(12). Solve 0 = 2*m + 1 - d for m.
1
Let d(z) = 10*z - 10. Let r be d(3). Solve -5*l - r = -l for l.
-5
Let m(q) be the third derivative of -q**5/60 + 11*q**4/24 - q**2. Let t be m(11). Solve -3*c + 0*c = t for c.
0
Suppose 2*q + 5*t + 0 = 26, 2*q = 3*t - 6. Suppose 5*m - 5 = -0*m - 2*j, -j = -5*m - 10. Let s be (5 - m)/(6/8). Solve -g - q*g = -s for g.
2
Suppose 0*o = -4*o. Suppose -2*x - x = o. Solve x = -0*z + 5*z - 15 for z.
3
Let o(z) = -z**3 + z + 4. Let y be o(0). Solve 29 - y = 5*a for a.
5
Suppose 60 = 21*l - 17*l. Solve 7*s + l = 2*s for s.
-3
Suppose -2*m + 4*m = 22. Suppose 1 = 3*l - m. Solve 0 = -l*v - 21 + 1 for v.
-5
Let u = 17 - 8. Let f(s) = 2*s + 14. Let v be f(-9). Let d = v + u. Solve -2*j + j = d for j.
-5
Suppose -5*y + 65 = 5*f, -2*f + 6*f = -2*y + 28. Let k be y/30 + (-13)/(-5). Suppose 2*g - 31 = -2*l - k*g, -5*g = 3*l - 34. Solve -7 = -l*a + 2 for a.
3
Let o(n) = 2*n - n + 4 + 3 - 5. Let i be o(3). Let p = 11 - i. Solve -h - p = h for h.
-3
Let s(f) = -19*f + f**2 + 17*f + 2 - 1. Let d be s(3). Solve d - 5 = -w for w.
1
Let g(l) = 2*l + 28. Let o be g(-13). Solve o*m - 3 = m for m.
3
Let s = 8 + -5. Suppose -15 = -s*n - 0*n. Let p be 35/42 + (-2)/(-12). Solve p = n*z - 4*z for z.
1
Suppose -15 = 3*m - 0*m - 3*a, m - 2*a = -2. Let l = 9 + m. Solve l + 1 = -s for s.
-2
Let j be (-6)/(-4)*(-8)/6. Let f(b) = b**3 + 2*b**2 + b | {
"pile_set_name": "DM Mathematics"
} |
prime factors of c(t)?
2
Let q(h) = 9*h**2 - 15*h + 11. Let o(t) = 4*t**2 - 7*t + 5. Let b = 13 - 26. Let l(c) = b*o(c) + 6*q(c). What are the prime factors of l(-1)?
2
Let b(l) = -l + 4. Let i be b(2). Suppose i*j = -2*j + 48. What are the prime factors of j?
2, 3
Let a = 390 + -90. What are the prime factors of a?
2, 3, 5
Suppose -8 = -2*l - 2*l. Suppose v + 4*t = -5, 0 = 3*v - 3*t + l*t + 54. Let j = -8 - v. What are the prime factors of j?
3
Suppose -6 + 116 = 5*w. What are the prime factors of 356/w - (-2)/(-11)?
2
Let l(g) be the second derivative of g**5/10 - g**4/12 - g**3/6 - g**2 - g. Let j be l(2). Let o = -5 + j. What are the prime factors of o?
3
Let s be (-4)/(-18) + (-4)/18. Let v = 16 - 17. List the prime factors of 0 - (s + -1 + v).
2
Let s(b) be the first derivative of -b**4/4 + b**3 + 7*b**2/2 - 6*b - 3. Suppose -2*u - u = -12. List the prime factors of s(u).
2, 3
Suppose m = -3*z + 15, -10 = -2*z + 2*m - m. Suppose -68 = -z*q - 3. List the prime factors of q.
13
Let o be ((-4)/6)/(2/(-489)). Suppose -5*m + o = -4*t, -2*m + 3*t + 4 + 64 = 0. Let w = -17 + m. What are the prime factors of w?
2, 7
Let n be (-35)/(-11) + (-6)/33. Let h = 7 - n. List the prime factors of h.
2
Let f = -9 - -13. Suppose p + 153 = 3*u + f*p, -2*p + 196 = 4*u. What are the prime factors of u?
47
Let l = 33 + -11. What are the prime factors of l?
2, 11
Suppose n = -1 - 2. Let k(t) = t**3 + 4*t**2 + t - 3. Let d be k(n). Suppose 3*r - 3*u = 27, 2*u + u = -d*r + 15. List the prime factors of r.
7
Let k = 224 - 69. List the prime factors of k.
5, 31
What are the prime factors of ((-89)/5)/(9/(-90))?
2, 89
Let h(c) = -c + 1. Let y be h(7). Let v = y + 28. List the prime factors of v.
2, 11
Let j = 48 - 25. List the prime factors of j.
23
Let w(r) = -r**3 - 6*r**2 + r + 6. Let j be w(-6). Let z = 32 + j. Suppose 2*y + 2*n - 24 = -0*y, -z = -3*y - 2*n. List the prime factors of y.
2
Suppose -4*l - 4 = 0, o + 4*o - 5*l = 35. Let z(n) = n**3 - 4*n**2 - 9*n + 5. List the prime factors of z(o).
23
Suppose -k + 9 = 2*k. List the prime factors of k + 0 + -3 - -6.
2, 3
Suppose 0 = -4*v + 43 - 7. List the prime factors of v.
3
Let q be (12/15)/(2/5). Suppose -3*m = 5*g - 17 - 8, q*m + 25 = 5*g. Suppose 5*h - 3*f - 39 = m, 2*f = -2*h - 2*f. What are the prime factors of h?
2, 3
Suppose -21 = -4*f + 55. Suppose f = h + 2*x, 0 = -x + 2. List the prime factors of h.
3, 5
Let t(u) = -u**3 - 4*u**2 + 8*u - 4. Let c be t(-6). Suppose -a + c = a. List the prime factors of a.
2, 5
Suppose -2*n + 64 = -n. List the prime factors of n.
2
Let o = 7 - 5. Suppose -y - 54 = -o*t, 5*t - 96 = t - 4*y. Suppose -5*x + 3*x = -t. List the prime factors of x.
13
Suppose -4*z + 0*z + 108 = 0. Let k = z - 18. What are the prime factors of k?
3
Suppose 2*z - 3*w + w - 26 = 0, 4*w + 20 = 0. Let l(r) = -z + 4*r**2 + 5*r - 4*r**2 + r**2. What are the prime factors of l(-7)?
2, 3
Let h be (0 + -2)*-1*2. Suppose -h*b + 14 = -14. Let w = -1 + b. What are the prime factors of w?
2, 3
Let y be (-2)/(0 + (-4)/54). Let a(i) = i**3 - 13*i**2 + 4. Let k be a(13). Suppose 2*c + k*g = -6, 3*g + y = 4*c + 6. What are the prime factors of c?
3
Let g(l) = l + 8. Let t be g(-6). Let b(r) be the third derivative of r**5/30 + r**4/24 - r**3/3 - r**2. List the prime factors of b(t).
2
Let n be (3 - 77/(-5))*5. Suppose h = -3*h + n. Suppose -3*k + h - 8 = 0. List the prime factors of k.
5
Let j = -3 - 9. Let c = -1 - j. What are the prime factors of c?
11
Let q(z) = -z - 1. Let u be q(-3). Suppose -u*w - 95 = -7*w. List the prime factors of w.
19
Suppose -4 = -2*d, -3*u - 4*d = -u - 24. Let r be ((-4)/u)/((-2)/12). Suppose 6 = -0*s + r*s. List the prime factors of s.
2
Suppose 6*i + 49 - 211 = 0. List the prime factors of i.
3
Let c(t) = 2*t**2 - 4*t + 2. Let q be -1*(-1 + 0 + -2). List the prime factors of c(q).
2
Suppose -146 = 2*d + 2*x, -x = -d - 7 - 60. What are the prime factors of 3/6 + d/(-4)?
2, 3
Suppose 5*k - 6 = 64. Suppose -k - 6 = 4*g. Let w = -1 - g. List the prime factors of w.
2
Suppose -5*q + 2*z - 38 + 4 = 0, 4*z + 36 = -3*q. Let y = q - -148. What are the prime factors of y/18 - 4/(-18)?
2
Let x be (3 - 0)/(12/44). Let a = x - -3. List the prime factors of a.
2, 7
Let i(a) be the first derivative of a**3/3 - 7*a + 1. What are the prime factors of i(-6)?
29
Let p(g) = g**2 + 7*g - 3. Let x(z) = -11*z + 4. Let h be x(-3). Suppose -n - 2*o + 30 = -4*n, 0 = 5*n + o + h. List the prime factors of p(n).
5
Suppose -4*a = -2*t - 700, -3*a + 4*t = -0*t - 520. What are the prime factors of a?
2, 11
Suppose 5*j = 15, r + 83 = 2*j + 3*j. Let u = 121 + r. What are the prime factors of u?
53
Let j = -53 + 92. List the prime factors of j.
3, 13
Suppose 49*z + 606 = 51*z. What are the prime factors of z?
3, 101
Suppose 3*d + 2*m - 8 = 0, 5*d + 2*m - 3*m = 22. Suppose 31 = 5*y - a, -3 = -a - d. List the prime factors of y.
2, 3
Let j(h) = -2 - 5*h + 19*h**2 + 3 + 1. Let d be j(3). List the prime factors of d/18 + 4/18.
3
Let n(a) = 4*a**2 - 3*a - 2. Let v be n(-2). Suppose 0 = k - 5*k + v. Suppose -l = -k*w + l + 44, 3*l = -5*w + 34. List the prime factors of w.
2
Suppose -112 = -7*h + 3*h. List the prime factors of h.
2, 7
Let r(q) = -2*q**2 - 6 + 2*q + 3*q**2 - 3*q**2 + 3*q**2. Let c be r(-5). What are the prime factors of 6/(-27) + 119/c?
13
Let y = 75 + -1. What are the prime factors of y?
2, 37
Let t = 13 + -11. Suppose -g + 5*g - t*m - 102 = 0, 2*g + 2*m = 42. List the prime factors of g.
2, 3
Suppose -4*t + 56 = -0*t. Suppose 2*x - t = -3*y, -3*y + 0*x = -x - 11. Suppose -5*c - v + 118 = 0, 4*c + 0*v = -y*v + 104. What are the prime factors of c?
23
Let o be -2*5*(-2)/4. Let a(m) = m**2 - 2*m + 1 - 4*m + 2*m. List the prime factors of a(o).
2, 3
Let v be 7/((-3 - 0)/3). List the prime factors of ((-7)/2)/(v/14).
7
Let s(n) be the first derivative of 2*n**2 - 7*n + 9. Suppose 5*g = 25 + 5. List the prime factors of s(g).
17
Let h(y) = -3*y**3 - y - 40. Let g(a) = 10*a**3 + 3*a + 119. Let x(o) = -2*g(o) - 7*h(o). Let q be x(0). What are the prime factors of (-108)/(-14) - (-12)/q?
2
Let t(f) be the first derivative of -f**4/4 - 11*f**3/3 - 5*f**2 + 12*f - 5. What are the prime factors of t(-10)?
2, 3
Let i(p) = -2*p**2 + 9*p - 7. Let h be i(6). Let c = 49 + h. What are the prime factors of c?
2, 3
Suppose -z + 8 + 86 = 0. Suppose -3*u = -z + 25. List the prime factors of u.
23
Let i be -1*(9/3 + -3). Suppose 0*o - o + 5 = i. List the prime factors of 3/(-6) - o/(-2).
2
Let y(n) be the second derivative of -1/20*n**5 + 3*n - 1/3*n**4 + 3/2*n**2 + 0 + 0*n**3. List the prime factors of y(-4).
3
Suppose -8*z = -0*z - 280. List the prime factors of z.
5, 7
Let x = -20 - -11. Let d be 4/(-18) + 70/x. Let m = -5 - d. What are the prime factors of m?
3
Let b be 2 + 1*-2 - -1. Let g = b - -4. Suppose g + 3 = 4*y. List the prime factors of y.
2
Suppose 3 = 5*y - 17, -l + 43 = y. List the prime factors of l.
3, 13
What are the prime factors of 2*(420/8)/5?
3, 7
Let u(h) be the third derivative of h**6/120 + h**5/10 + 7*h**4/24 + 7*h**3/6 - 3*h**2. Let m be u(-5). What are the prime factors of 1/m + 52/12?
2
Let g be ((-2)/(-8))/((-5)/(-20)). Let a(m) = 10*m**2 + m. What are the prime factors of a(g)?
11
Suppose 3*u + 1170 = 12*u. What are the prime factors of u?
2, 5, 13
Suppose 5*o = 3*o - 18. Let r(a) = 20*a**2 + 4*a - 50. Let j(d) = 7*d**2 + d - 17. Let g(n) = -17*j(n) + 6*r(n). List the prime factors of g(o).
7
Suppose -3*l = -0*l + 39. Let u = 20 + l. What are the prime factors of u?
7
Let l = 19 + -5. Let u be (-7)/l*(-100)/2. Let s = u - 11. What are the prime factors of s?
2, 7
Let z = 0 + -1. Let w = 5 - 6. List the prime factors of (w/z)/((-1)/(-3)).
3
Let x be (2 + 4)*(16 + 0). Suppose 2*z - 144 = -5*p - 17, x = 4*p - 4*z. Suppose -3*c = -8*c + p. List the prime factors of c.
5
Let l(u) = 25*u**3 - 2*u**2 + u - 4. What are the prime factors of l(2)?
2, 5, 19
Suppose -12*r = -14*r + 416. List the prime factors of r.
2, 13
Let d(c) = c**3 - 5*c**2 + 2*c - 6. Let r be d(5). Let u be 197/(-2) + (-2)/4. What are the prime factors of (-1)/r - u/12?
2
Suppose 2*b = -3*k - 9, 3*b + 15 = b + 3*k. What are the prime factors of -2 - -16 - b/2?
17
Suppose 0 = -5*u - 20, -r + 10 = -u - u. Suppose -r*p + 65 = - | {
"pile_set_name": "DM Mathematics"
} |
0*y**3 + 2*y**4 - 1 + 74*y in the form w*y**4 + u + m*y + s*y**2 + d*y**3 and give u.
-1
Express -229 + 6*b + 55 - 3*b**2 + 52 + 81 + 67 as g*b**2 + d*b + y and give d.
6
Rearrange -20509*a + 41022*a - 20514*a + a**2 + 2232*a**3 to u*a**2 + r*a + q + v*a**3 and give r.
-1
Rearrange (-2*v + 7*v - 4*v)*(-3406 + 380 - 1906)*(2 + 1 - 1) to the form r + f*v and give f.
-9864
Rearrange 90*q + 3 - 252*q - 12 - 6 + 77*q to the form u + t*q and give t.
-85
Rearrange 1354115 + 9719*c**3 - 1354115 + c to the form w*c**2 + g*c**3 + q*c + z and give q.
1
Rearrange 2*s - 1 + 1 + (-1 + 2*s + 1)*(13 + 1 + 8) + (2*s - 4*s + s + (2 + s - 2)*(-4 - 3 + 6) + 9*s - 60*s + 14*s)*(0 + 3 - 5) to the form y + t*s and give t.
124
Rearrange (-l + 3*l + 0*l + (-2*l - 2*l + 3*l)*(2 + 2 - 5) + 0*l - 2*l + 3*l)*(137 - 672 + 229)*(5 - 7 - 4) to the form k*l + v and give v.
0
Express 3559*k - 35 + 13 + 8 + 14 as q + p*k and give p.
3559
Rearrange -11*u + 372*u**4 + 21*u**2 - 377*u**4 + 12*u to m*u + g + a*u**2 + k*u**4 + f*u**3 and give m.
1
Express (-3*c**3 + 3*c**3 - 3*c**4)*(350 + 473 - 207) as l*c**3 + r + m*c**4 + y*c**2 + i*c and give m.
-1848
Express 11960*t**2 + 24958 - 2157*t**2 - 24958 as c + q*t**2 + n*t and give q.
9803
Rearrange -297*a - 4 + 597*a - 288*a + 1 - 1 to the form n*a + r and give n.
12
Rearrange -774*n**2 + 17*n**3 - 7 + n + 758*n**2 + 6 to f*n**3 + l*n + m*n**2 + d and give m.
-16
Rearrange -18 - 324*o**2 - 37 + 80 - 25 to v + h*o**2 + r*o and give h.
-324
Express (12 + 4 + 35)*(2*a**2 + a**2 - 2*a**2)*(35 + 9 - 6) as t*a**2 + i*a + k and give t.
1938
Rearrange (g + 3*g - 3*g)*((3*g - 3*g - 2*g)*(2 - 4 + 0) + 2801*g - 1771*g + 5768*g) to the form w*g**2 + i + k*g and give k.
0
Express -2255584 + 2255584 - 524*q as r + u*q and give r.
0
Express (-2*z**3 - 968*z**4 + 2*z**3 + 105*z**4 - 950*z**4 + 205*z**4)*(-3 + 2 - 1) as w*z**3 + g*z**4 + p + t*z + q*z**2 and give g.
3216
Rearrange -3*j**3 - 7*j**3 - 102*j + 6*j**4 + 107 + 94*j - 2*j**2 - 109 to g*j**4 + d*j**2 + m*j + h + b*j**3 and give d.
-2
Express 8*s**3 - 2 - 2*s**4 + 8*s**3 + 10*s - 8*s**3 - 10*s**3 + 2*s**2 in the form u*s**2 + g*s**3 + t*s**4 + k + c*s and give u.
2
Express 5 - 4*j - 5 + (51 + 31 - 41)*(-2*j + 2*j + 3*j) + (0*j + 0*j - j)*(-5 + 4 + 7) as t + h*j and give t.
0
Express -9*k**4 + 3*k + 2*k**3 + 8*k**2 - k**4 + 0*k**2 + 4*k**4 + 0*k**4 in the form i*k**4 + v*k**3 + w*k**2 + d + a*k and give i.
-6
Express (5*b - b - 3*b + (-3*b + 0*b - 7*b)*(-86 - 81 + 145))*(-4*b**2 + 15*b - 15*b) in the form j*b**2 + z + g*b + i*b**3 and give i.
-884
Express 23775*p + 7817*p - 8140*p in the form a*p + o and give a.
23452
Express (t**2 + 2*t**2 + t**2 + (-3 - 3 + 4)*(-3*t**2 + 3 - 3))*(27*t**2 - 3 + 32*t**2 - 55*t**2) in the form w + a*t**4 + f*t + n*t**2 + z*t**3 and give w.
0
Rearrange 1208*z**4 + 3*z**3 - 3 - z + 1211*z**4 - 2421*z**4 + 2*z**2 to r*z**4 + m*z + i + n*z**2 + b*z**3 and give m.
-1
Rearrange -54897*y**2 + 109989*y**2 - 4*y - 55737*y**2 to the form c*y + u*y**2 + m and give u.
-645
Rearrange 617282 - 617282 + 7479*t to the form a*t + c and give a.
7479
Rearrange -j**3 - 8433519 - 5*j + 8433519 - 77*j**2 to the form m*j**3 + c*j + a*j**2 + f and give a.
-77
Rearrange (-4*k + 0*k + k)*(33*k - 5*k + 10*k) + 2*k**2 + 4*k**2 - 4*k**2 - 3*k**2 - k**2 + 5*k**2 to u*k**2 + j + b*k and give u.
-111
Express (3*v**3 - 3*v**3 + 2*v**3)*(-131 + 32 - 3*v + 184) as c*v + i*v**3 + n*v**4 + f*v**2 + w and give i.
170
Rearrange (9 - 215*t + 613*t + 5 + 10 - 24)*(41*t + 14*t + 88*t) to the form q + g*t + z*t**2 and give z.
56914
Rearrange -99*j**3 + 183*j**3 - 13*j - 4 + 0*j**2 - 80*j**3 + j**2 + 5*j**4 to o*j**4 + x*j + q*j**3 + c*j**2 + b and give q.
4
Express (-4*d - 4*d + 0*d)*(151606 - 151606 - 2*d**2 + 339*d) in the form t*d + r*d**3 + b*d**2 + u and give r.
16
Rearrange ((3 - 3 - u**2)*(-2 + 0 + 1) - 2763*u + 194*u**2 + 2763*u)*(7 - 2 - 27) to the form j*u + z*u**2 + b and give z.
-4290
Express 1413 + 1391 + 7*s**2 - 2648 in the form i*s**2 + u*s + h and give u.
0
Express (-41*s + 23*s - 42*s + (-20 + 12*s - 26*s + 12*s)*(3 - 4 + 0))*(3*s**2 + 0*s**2 - 5*s**2) in the form h*s**2 + y*s**3 + l + i*s and give h.
-40
Rearrange 230 + 83*i + 79*i + 71*i - 217*i to the form f*i + v and give f.
16
Rearrange 1702*p - 929*p + 1272*p + 499*p to q*p + f and give q.
2544
Rearrange -3826 + 29*j**2 - 481*j**2 + 3824 to the form f*j**2 + r*j + l and give l.
-2
Rearrange 2*p**3 + 111167 + 189*p - 111167 - p**2 to the form t*p**2 + b*p + w + n*p**3 and give b.
189
Rearrange (24*d**2 + d**3 + 2343 - 2390 + 12*d - 23*d**2)*(-1 + 5 - 3) to t*d**3 + x + a*d**2 + i*d and give t.
1
Express -309*x - 814729*x**2 - 123*x + 814708*x**2 as n*x + q + d*x**2 and give d.
-21
Express -45 - 2*t + 2*t - 1065*t**2 + 2115*t**2 - 1178*t**2 in the form j*t + z*t**2 + f and give f.
-45
Express 10*q - 2*q - q + (1 - 2*q - 1)*(-3 + 0 + 1) + 2 + q - 2 + (5 - 6 + 5)*(-4*q + 3*q - q) - 5*q + 11*q + 6*q in the form m + l*q and give l.
16
Express -288 - 5*i**3 - 244 + 527 as x*i**3 + m + p*i**2 + k*i and give m.
-5
Express 185*v**3 - v + 260 - 153 - 108 as j*v**2 + p + r*v**3 + l*v and give r.
185
Express 44 - 2269*b - 67 + 23 in the form n + s*b and give s.
-2269
Rearrange -894*y**3 - 65 + 30 - 3 + 36 to the form n + h*y**3 + s*y + b*y**2 and give n.
-2
Rearrange (1 - 5*z + 13*z + 6*z)*(-70 - 74 - 144*z**2 + 142) to the form n*z**2 + h*z + p + k*z**3 and give n.
-144
Express -2*a**2 - 3*a**4 - 50 - 2*a**3 + 131 - 46 - 44 - 6*a**3 as x*a**2 + d*a**3 + q + y*a**4 + g*a and give q.
-9
Rearrange (4*d - 4*d + d)*(3 - 4 + 3)*(-3 + 3 + 6)*(-6 + 4 - 3)*(-64 + 191 + 130) to the form o*d + w and give o.
-15420
Express -14137*l**3 - 15 - 7*l**2 + 7069*l**3 + 5 + 7064*l**3 in the form m*l + j + w*l**3 + k*l**2 and give m.
0
Rearrange -1426937*d**2 + d + 140*d**3 + 1426938*d**2 + 3*d**4 + 134*d**3 + 3 to w*d**4 + o*d**3 + t*d + r*d**2 + k and give t.
1
Express (2*v - 3 + 3)*(-2 + 5 - 1) + 9*v + 16*v - 5*v - 3 + (-2 - 5 + 3)*(v + 4*v + 2*v) as r*v + m and give m.
-3
Rearrange -m**3 + 9202 - 9201 + 0*m**3 - m - 67*m**2 to the form n*m + q + l*m**3 + t*m**2 and give l.
-1
Express (3 - 3 - m)*(0 - 1 - 1)*(-159 + 159 + 83*m**3 + (-2 + m**2 + 2)*(-3*m + 3*m + 2*m)) in the form o*m + n*m**2 + a + i*m**3 + p*m**4 and give n.
0
Express -32977*o**3 - 12 + 2*o**2 + 16487*o**3 - 10*o + 16491*o**3 in the form u + x*o + v*o**3 + w*o**2 and give x.
-10
Rearrange 514*v + 531 - 178 - 171 - 181 - 1471*v to b*v + z and give z.
1
Express -h**3 + 4*h**3 - h**3 + (-2*h**3 - 5 + 5)*(-1 + 2 - 2) + (213*h**2 + 83*h - 83*h)*(-h + 1 + 4*h - 6*h) as i*h + c*h**2 + y + f*h**3 and give f.
-635
Express 2*y**3 + y**3 - 5*y**3 + (-55*y**2 - 47*y**2 - 44*y**2)*(-27 + y + 27)*(2 - 4 + 6) in the form k*y + c*y**2 + i*y**3 + j and give i.
-586
Express 11 - 7446*b - 9*b**4 - 4*b**3 + 4*b**3 + 2*b**3 + 7416*b - 4*b**3 in the form j*b**2 + y*b + v*b**4 + r*b**3 + a and give y.
-30
Rearrange -7*o - o**3 - 9*o - 279*o**4 + 1 + 16*o + 1054*o**4 to the form y*o + v + p*o**3 + j*o**4 + a*o**2 and give p.
-1
Rearrange 7*i**2 - 494*i + 15 - 14*i**2 - 360*i - 15 to h*i**2 + m*i + y and give h.
-7
Rearrange -5 + 1 + 1787*h**3 - 1389*h**3 to m + w*h + d*h**3 + l*h**2 and give m.
-4
Rearrange -719*h**2 - 50*h**2 + 1 - 17*h**2 - 269*h**2 to the form s*h + i*h**2 + x and give i.
-1055
Rearrange -4936*i**2 - 2 - 5614*i**2 + 8884*i**2 - 3*i to the form h*i**2 + s*i + a and give s.
-3
Rearrange -1032*d**2 + 489*d**2 - 1346*d**2 - 2 + 193*d**2 to b + m*d + o*d**2 and give b.
-2
Express (3 - 3 - 3)*(-3*s + 3*s + 2*s**2) + 14667*s**2 - 176*s + 13542*s**2 + 176*s in the form a + f*s**2 + t*s and give f.
28203
Rearrange (-2221 + 3025 + 15611)*(-3*r + 7*r - 2*r) to b + w*r and give b.
0
Rearrange 89 - 170 + 10955*c - 2795*c + 81 to m + h*c and give h.
8160
Express -6 + 465*g**4 - 86*g**4 - 6437*g**3 + 2*g**2 + 7 + 6436*g**3 - g in the form y*g**3 + s + u*g**4 + o*g + w*g**2 and give u.
379
Rearrange -5*c**2 + 17*c + 6 - 16*c + 94*c - c**2 - 5 to y*c + d + i*c**2 and give y.
95
Express (0 - 1 - 1)*(2 + 2 - 3)*(y + 2*y - 2*y) + (-1 - 3 + 6)*(-7 + 10*y + 7) + 7 - 4 + y - 2 in the form k + r*y and give k.
1
Rearrange -d**2 - 3*d**3 + 81 - 98 + 0*d + 19 - 9*d to the form f*d**3 + h*d + k*d**2 + c and give f.
-3 | {
"pile_set_name": "DM Mathematics"
} |
6938, 6977, 7028?
6*m**2 - 3*m + 6893
What is the r'th term of 261, 899, 1963, 3453, 5369?
213*r**2 - r + 49
What is the i'th term of 109929, 219817, 329703, 439587, 549469, 659349, 769227?
-i**2 + 109891*i + 39
What is the f'th term of -1996, -4246, -6752, -9514?
-128*f**2 - 1866*f - 2
What is the p'th term of -1284, -5112, -11490, -20418, -31896, -45924?
-1275*p**2 - 3*p - 6
What is the o'th term of -77, -190, -331, -500, -697?
-14*o**2 - 71*o + 8
What is the n'th term of 387, 424, 485, 570?
12*n**2 + n + 374
What is the w'th term of 3932, 8095, 12260, 16427, 20596, 24767?
w**2 + 4160*w - 229
What is the p'th term of -7752, -31064, -69918, -124314, -194252?
-7771*p**2 + p + 18
What is the v'th term of -152, -159, -174, -203, -252, -327?
-v**3 + 2*v**2 - 6*v - 147
What is the g'th term of 310, 655, 998, 1339, 1678, 2015, 2350?
-g**2 + 348*g - 37
What is the p'th term of 645, 1240, 1835, 2436, 3049, 3680, 4335?
p**3 - 6*p**2 + 606*p + 44
What is the x'th term of 669, 1933, 4041, 6993, 10789?
422*x**2 - 2*x + 249
What is the z'th term of 19322, 77314, 173982, 309338, 483394, 696162?
2*z**3 + 19326*z**2 - 6
What is the m'th term of 446520, 893043, 1339578, 1786131, 2232708, 2679315, 3125958, 3572643?
m**3 + 446516*m + 3
What is the d'th term of 197, -61, -811, -2299, -4771, -8473, -13651?
-41*d**3 + 29*d + 209
What is the t'th term of 19044, 19045, 19046?
t + 19043
What is the w'th term of 10678, 10673, 10664, 10651, 10634, 10613?
-2*w**2 + w + 10679
What is the n'th term of 7655, 15295, 22935, 30575, 38215?
7640*n + 15
What is the n'th term of -2991, -2970, -2911, -2796, -2607, -2326?
3*n**3 + n**2 - 3*n - 2992
What is the t'th term of -104, -99, -84, -53, 0, 81, 196, 351?
t**3 - t**2 + t - 105
What is the i'th term of -3088, -24647, -83156, -197089, -384920, -665123, -1056172?
-3079*i**3 - i**2 - 3*i - 5
What is the n'th term of -7339799, -7339800, -7339801, -7339802, -7339803?
-n - 7339798
What is the r'th term of -1460, -1517, -1670, -1967, -2456?
-8*r**3 - r - 1451
What is the b'th term of 96314, 96316, 96318, 96320, 96322?
2*b + 96312
What is the b'th term of 8591, 17142, 25693, 34244?
8551*b + 40
What is the l'th term of 6796, 13605, 20416, 27229?
l**2 + 6806*l - 11
What is the h'th term of -299, -1162, -2587, -4574, -7123, -10234, -13907?
-281*h**2 - 20*h + 2
What is the i'th term of -174, -354, -540, -732, -930, -1134, -1344?
-3*i**2 - 171*i
What is the h'th term of 2533, 2518, 2503, 2488, 2473, 2458?
-15*h + 2548
What is the i'th term of -9594, -38363, -86328, -153501, -239894, -345519?
-2*i**3 - 9586*i**2 + 3*i - 9
What is the q'th term of -783, -3197, -7367, -13413, -21455, -31613, -44007?
-20*q**3 - 758*q**2 - 5
What is the u'th term of 3046, 24429, 82494, 195583, 382038, 660201?
3057*u**3 - u**2 - 13*u + 3
What is the z'th term of 2578, 2572, 2568, 2566, 2566, 2568, 2572?
z**2 - 9*z + 2586
What is the i'th term of 5567, 5571, 5575, 5579, 5583?
4*i + 5563
What is the m'th term of -353, -702, -1051?
-349*m - 4
What is the c'th term of 1355960, 1355958, 1355964, 1355984, 1356024?
c**3 - 2*c**2 - 3*c + 1355964
What is the f'th term of 38, 158, 356, 632, 986, 1418?
39*f**2 + 3*f - 4
What is the h'th term of 75, 148, 283, 510, 859?
5*h**3 + h**2 + 35*h + 34
What is the q'th term of 6374, 12749, 19124, 25499, 31874, 38249?
6375*q - 1
What is the s'th term of 36432, 36435, 36438, 36441?
3*s + 36429
What is the y'th term of -370291, -370311, -370329, -370345, -370359?
y**2 - 23*y - 370269
What is the f'th term of 1816, 1822, 1828, 1834, 1840, 1846?
6*f + 1810
What is the m'th term of -1526, -1535, -1548, -1565?
-2*m**2 - 3*m - 1521
What is the h'th term of 5874, 11677, 17468, 23241, 28990, 34709, 40392?
-h**3 + 5810*h + 65
What is the l'th term of 82, -4, -242, -710, -1486, -2648, -4274, -6442?
-13*l**3 + 2*l**2 - l + 94
What is the k'th term of -50, 471, 1026, 1633, 2310, 3075, 3946?
3*k**3 - k**2 + 503*k - 555
What is the h'th term of 1712, 1732, 1762, 1802?
5*h**2 + 5*h + 1702
What is the m'th term of 294, 451, 484, 399, 202, -101?
m**3 - 68*m**2 + 354*m + 7
What is the u'th term of 543, 539, 535, 531, 527, 523?
-4*u + 547
What is the r'th term of 90530, 181057, 271572, 362069, 452542, 542985?
-r**3 + 90534*r - 3
What is the l'th term of -105, -1272, -4441, -10614, -20793, -35980, -57177, -85386?
-167*l**3 + l**2 - l + 62
What is the p'th term of 8347, 16700, 25053?
8353*p - 6
What is the c'th term of -58668, -58609, -58550, -58491, -58432, -58373?
59*c - 58727
What is the v'th term of 454, 445, 434, 421, 406, 389?
-v**2 - 6*v + 461
What is the v'th term of 1404, 1820, 2518, 3504, 4784, 6364, 8250?
v**3 + 135*v**2 + 4*v + 1264
What is the w'th term of -61, -100, -83, 20, 239, 604, 1145?
5*w**3 - 2*w**2 - 68*w + 4
What is the n'th term of 1088, 2239, 3412, 4601, 5800, 7003, 8204?
-n**3 + 17*n**2 + 1107*n - 35
What is the q'th term of 451, 915, 1393, 1885, 2391, 2911, 3445?
7*q**2 + 443*q + 1
What is the x'th term of 664478, 664484, 664500, 664532, 664586, 664668?
x**3 - x**2 + 2*x + 664476
What is the q'th term of -63, -144, -241, -360, -507?
-q**3 - 2*q**2 - 68*q + 8
What is the u'th term of -4910, -4919, -4924, -4925, -4922?
2*u**2 - 15*u - 4897
What is the p'th term of -596, -1364, -2302, -3416, -4712?
-p**3 - 79*p**2 - 524*p + 8
What is the y'th term of -385, -1495, -3285, -5707, -8713, -12255, -16285?
8*y**3 - 388*y**2 - 2*y - 3
What is the u'th term of -266, -650, -1034?
-384*u + 118
What is the k'th term of -5688, -5699, -5718, -5745?
-4*k**2 + k - 5685
What is the q'th term of -365, -1345, -2985, -5291, -8269, -11925, -16265?
-q**3 - 324*q**2 - q - 39
What is the x'th term of 549, 516, 483, 450, 417?
-33*x + 582
What is the a'th term of -4322655, -4322654, -4322653, -4322652, -4322651, -4322650?
a - 4322656
What is the f'th term of -2082, -2276, -2458, -2622, -2762, -2872, -2946?
f**3 - 201*f - 1882
What is the o'th term of 3897, 7778, 11661, 15546, 19433, 23322?
o**2 + 3878*o + 18
What is the c'th term of 30, 106, 182, 258, 334, 410?
76*c - 46
What is the o'th term of 317, 591, 839, 1049, 1209?
-2*o**3 - o**2 + 291*o + 29
What is the n'th term of -2148, -2627, -3106, -3585?
-479*n - 1669
What is the n'th term of 93, 437, 1003, 1785, 2777, 3973, 5367?
-n**3 + 117*n**2 - 23
What is the f'th term of 365, 818, 1317, 1886, 2549, 3330?
4*f**3 - f**2 + 428*f - 66
What is the f'th term of 39997, 79988, 119981, 159976, 199973, 239972?
f**2 + 39988*f + 8
What is the r'th term of -130533, -261073, -391613, -522153, -652693, -783233?
-130540*r + 7
What is the w'th term of 417, 883, 1427, 2049?
39*w**2 + 349*w + 29
What is the b'th term of 205, 141, 43, -89, -255, -455, -689?
-17*b**2 - 13*b + 235
What is the p'th term of -577, -591, -601, -595, -561?
2*p**3 - 10*p**2 + 2*p - 571
What is the m'th term of -1173, -1263, -1413, -1623, -1893, -2223, -2613?
-30*m**2 - 1143
What is the u'th term of -146, -193, -324, -581, -1006, -1641?
-7*u**3 + 2*u - 141
What is the i'th term of 18302, 73183, 164652, 292709, 457354?
18294*i**2 - i + 9
What is the h'th term of 667, 916, 1165?
249*h + 418
What is the m'th term of -994469, -994459, -994437, -994397, -994333, -994239?
m**3 + 3*m - 994473
What is the c'th term of -1869072, -1869065, -1869054, -1869039, -1869020, -1868997, -1868970?
2*c**2 + c - 1869075
What is the p'th term of -55242, -55244, -55246, -55248, -55250?
-2*p - 55240
What is the m'th term of -1010, -1014, -1020, -1028, -1038, -1050, -1064?
-m**2 - m - 1008
What is the u'th term of 507, 2021, 4543, 8073, 12611?
504*u**2 + 2*u + 1
What is the g'th term of -839422, -3357680, -7554776, -13430710, -20985482, -30219092, -41131540?
-839419*g**2 - g - 2
What is the q'th term of -1388, -1366, -1344, -1322?
22*q - 1410
What is the p'th term of -15868, -15861, -15854, -15847, -15840?
7*p - 15875
What is the s'th term of 321, 645, 991, 1359, 1749, 2161, 2595?
11*s**2 + 291*s + 19
What is the m'th term of 330, 674, 1040, 1434, 1862?
m**3 + 5*m**2 + 322*m + 2
What is the i'th term of 12513, 12525, 12549, 12585, 12633, 12693?
6*i**2 - 6*i + 12513
What is the h'th term of -418, -1728, -3910, -6964, -10890, -15688?
-436*h**2 - 2*h + 20
What is the p'th term of -143428, -286858, -430288, -573718?
-143430*p + 2
What is the s'th term of 937, 6338, 20993, | {
"pile_set_name": "DM Mathematics"
} |
c.
-2
Rearrange -474*p + 11*p**2 + 5*p**2 - 4*p**2 + 2 - 14*p**2 to the form z*p + s + n*p**2 and give z.
-474
Express (-6*p + 4*p + 0*p)*(-3 + 2 + 0)*(-3*p - 16 - 10 + 34) as h*p**2 + q + z*p and give h.
-6
Express -16*f + 16*f - 8*f**4 + (f**3 - 3*f**3 + 4*f**3)*(f + 0*f + 0*f) - 76*f**4 - 70*f**4 + 35*f**4 as l*f**3 + a + k*f + x*f**2 + h*f**4 and give h.
-117
Express -12247*s - 1321*s**2 + 12247*s + (3 + 0 - 1)*(-s**2 + s**2 + 2*s**2) - s**2 - 3 + 3 as a*s + t + b*s**2 and give b.
-1318
Rearrange -d**3 - d**4 - 8 - 12 - d + 29 - 6 to b + f*d + j*d**3 + c*d**4 + v*d**2 and give b.
3
Express 20568 - 20568 - 1246*b as g*b + h and give g.
-1246
Rearrange 2 - 112*c - 4 + 13 + 23*c to v*c + d and give v.
-89
Express (0 + 1 + 2)*(c**4 + c**4 + 0*c**4) - 3*c + 3*c - 2*c**4 + 15*c**4 + 4*c + 2*c - 5*c in the form i*c**4 + o*c**2 + n + q*c**3 + z*c and give i.
19
Express 11*g**2 + 9*g - 7*g**2 - 5*g**3 - 6*g in the form k*g + v*g**2 + o*g**3 + a and give k.
3
Rearrange w - 2*w**3 - 1 - 189*w**2 + w**3 + 207*w**2 to l + r*w**2 + g*w + t*w**3 and give l.
-1
Rearrange -5396*v**2 + 5396*v**2 + 11*v**3 - 4*v - 9*v**4 + 2 to x + g*v**4 + u*v**2 + o*v + w*v**3 and give u.
0
Rearrange -5*p**2 + 246*p**4 + 256*p**4 - 503*p**4 - 4*p**3 + 3*p**2 to the form o*p**3 + q*p + c + v*p**2 + w*p**4 and give v.
-2
Express (-4 + 0 + 1)*(-7*m**2 + 10 - 18 + 16) as y*m + h*m**2 + i and give h.
21
Express (369*o + 318*o - 443*o + 534*o + 388*o)*(2*o**2 + 3*o**2 - 4*o**2) in the form r + m*o**3 + j*o + x*o**2 and give r.
0
Express q + 3*q + q + (32*q - 137*q + 34*q)*(1 + 0 + 1) + (3 + 4 - 5)*(2*q + q + 0*q) in the form y*q + k and give y.
-131
Express 57 - 2*w**4 - w**3 + 338*w - 168*w - 170*w + w**4 as k + m*w**3 + b*w**2 + v*w**4 + n*w and give v.
-1
Express 2 - 81*j - 122*j - 74*j + 56*j as s*j + c and give s.
-221
Express -92*z**2 - 321*z**2 - 112*z**2 + 47*z**2 in the form r + d*z + i*z**2 and give i.
-478
Rearrange (269*l**2 + 360*l**2 - 385*l**2)*(-2 + 1 + 3) to the form n + y*l + s*l**2 and give s.
488
Express -15 - 489*l + 394*l + 11 in the form q*l + d and give d.
-4
Express -641*s**2 + 647*s**2 + 5*s - 7*s + 7*s**3 - 2*s**4 + 1 in the form d*s**3 + q*s**4 + f*s + r*s**2 + c and give q.
-2
Express j + 14*j + 5*j + (-2 + 4 + 0)*(2*j - j - 3*j) + 2*j + 0 - j + 11 in the form m*j + y and give m.
17
Express (2 - 2 + x**3)*(-56*x + 137*x + 109*x) in the form j*x + m + q*x**4 + g*x**2 + d*x**3 and give q.
190
Rearrange -868*j + 1048*j + 1580*j to the form c*j + s and give c.
1760
Express -7*t - 7*t + 12*t + 44*t**3 - 12*t**3 in the form l*t**3 + g*t + h*t**2 + d and give h.
0
Rearrange -m**2 - 116*m + 148*m + 356*m - 3*m**2 to the form r*m + w + h*m**2 and give h.
-4
Express -8*b**2 + 7*b**2 - 4205 + 3749 in the form p + w*b**2 + o*b and give w.
-1
Express 849*f + 30*f**2 - 9 - 847*f - 12*f**2 + 8 - 6 as r*f + j + n*f**2 and give r.
2
Rearrange 3 + t**2 - 3 + (2 - 2 - 2)*(-3*t**2 - 7*t + 7*t) + (5*t - 10*t + 0*t)*(-2 + 3*t + 2) to l*t**2 + s*t + h and give l.
-8
Rearrange (5 + 4 - 8)*(3 - 3 - x)*(11 - 3 - 2 - 2*x) to u*x**2 + q + f*x and give u.
2
Rearrange -5*z**2 - 33*z**4 - 33*z**4 - 34*z**4 - 2*z + 103*z**4 to the form l*z**4 + t + o*z**2 + m*z**3 + s*z and give t.
0
Express 2*m - 2*m + 254*m**3 - 256*m**3 + 28*m**2 + 2 in the form x + v*m + w*m**2 + k*m**3 and give w.
28
Express 5 + 7*c**2 + 1 - c - 13*c**2 + 9*c**2 in the form w*c + k + h*c**2 and give k.
6
Express -2*x**3 - 2*x**4 + 257*x - 262*x + x**3 + 26 in the form p*x**3 + y*x**2 + d*x**4 + s*x + q and give d.
-2
Express 5*q**3 + 2 + 2*q**4 + 5*q**4 + 4*q**2 - 2*q**2 - 2*q**2 in the form c + r*q + l*q**4 + p*q**3 + t*q**2 and give p.
5
Express (45*d + 10 - 62*d - 12*d)*(-5*d + 14*d + 6*d) as x*d**2 + c*d + u and give x.
-435
Express 11*r**2 - r**2 + 43 - 11*r**2 as v*r**2 + z + m*r and give z.
43
Express (-2*c**2 + 2*c**2 - c**2)*((c + 2 - 2)*(-2 + 2 + 3)*(-1 - 2 + 4) + c + 2*c - c - 33 + 33 - 13*c) as a*c**2 + s + h*c**3 + w*c and give h.
8
Express -14 - 35*u**4 + 36*u**4 + u**3 + 19*u**2 - 17*u**2 in the form p*u**3 + q*u**4 + n + k*u + l*u**2 and give l.
2
Rearrange 2*p**3 + 702*p - 5 - p**4 + 0*p**3 - 701*p to l + a*p + i*p**3 + m*p**2 + z*p**4 and give i.
2
Rearrange (4*k + 5*k - 3*k)*(25 - 52 + 31) to the form g + c*k and give c.
24
Express -6*o**2 - 14*o**2 - 16*o**2 + 4*o + 42*o**2 + 12*o in the form a*o + b + z*o**2 and give z.
6
Rearrange (-4 + 0 - 2)*(-5*t - 7 + 7)*((0 + 0 - 1)*(3 - 3 - 1) - 1 + 1 + 1) to k*t + w and give k.
60
Express 30*v**2 - 24*v**2 + v**3 + 44*v**4 + v**3 - 7*v**2 in the form k*v**3 + d*v**2 + s*v + l + u*v**4 and give k.
2
Rearrange (-2*y - 2*y + 2*y)*(-18 - 20 + 6) + (-3*y + 0*y + 2*y)*(-4 - 1 + 4) + 0*y - 3*y + 4*y + y + 2*y + y to n*y + t and give n.
70
Rearrange (2 + 0 + 2)*(l - l + 2*l) + l - 3 + 3 + 456 - 21*l + 445 - 890 to the form t*l + k and give t.
-12
Express (-10 + 7 - 13)*(0*c - 4*c + 3*c - 7) as u + o*c and give o.
16
Express (-j - 2*j + 5*j)*(4*j**2 - 4*j**2 + 3*j**2) - 28*j**3 + 65*j - 65*j in the form d*j**2 + b*j**3 + f + c*j and give d.
0
Rearrange 130*q + 30*q + 51*q to w*q + p and give p.
0
Express (-1011 + 21*p + 1011)*(6*p**3 - 3*p**3 - 5*p**3) as u*p + f*p**2 + o*p**4 + i*p**3 + c and give o.
-42
Rearrange -11*c - 56 + 9*c + 38 to the form h + f*c and give f.
-2
Rearrange -40*x**3 + 40*x**3 - 13*x**4 + (2*x**2 + 0*x + 0*x)*(3*x - 3*x**2 - 3*x) to o*x + t*x**4 + n*x**3 + z*x**2 + f and give t.
-19
Express (801*o**2 + 813*o**2 - 334*o**2 + 18*o**2)*(0*o**2 + 3*o**2 + o**2) in the form m*o**4 + f*o + t*o**3 + y*o**2 + l and give m.
5192
Express -143*w + 2 - 117*w**2 + 2*w**4 - 144*w - 141*w + 428*w in the form x*w**3 + k + p*w + v*w**2 + r*w**4 and give k.
2
Rearrange 16*v**4 - 23*v**4 + v**3 + 9*v**4 + 7*v**2 + 4 + 0*v**3 + 4*v - 3*v**2 to the form t + q*v**2 + c*v + b*v**3 + w*v**4 and give c.
4
Express -1 + 5*h - 4*h**4 - 30*h**3 + 27*h**3 - 4*h in the form f*h**2 + u + d*h**4 + q*h + k*h**3 and give k.
-3
Rearrange (-3*h**3 + 0*h**3 + h**3)*(258*h - 168*h - 139*h) + h**4 + 0*h + 0*h + 1 - 1 + h**4 to b*h + z*h**3 + x*h**4 + w*h**2 + a and give x.
100
Rearrange (-4*h + 4*h - 9*h + (-h - 4*h + 3*h)*(-4 + 4 - 2) + 2*h + 4*h - 2*h)*(10 + 11 + 0) to y*h + k and give y.
-21
Rearrange 4 + 30*l + 52*l + 2*l**2 - 3 + 58*l - l**2 to u + m*l**2 + a*l and give m.
1
Rearrange -3 - 2*k - 162480*k**2 - k**3 + k + 162431*k**2 to the form g*k**2 + w*k + l + p*k**3 and give p.
-1
Express 2*t**2 + 3641*t - 3641*t - 49 as q*t**2 + f + z*t and give f.
-49
Rearrange 33*y + 2*y + 7 + 2 + y to the form i + g*y and give g.
36
Express 391*s**3 - s - 26741*s**2 + 13372*s**2 + 13369*s**2 + (-3 - 4 + 4)*(-4*s**3 + 3*s**3 + 2*s**3) as a*s**2 + h + y*s**3 + d*s and give y.
388
Rearrange -5 + 3*f - 2*f + 4 + f**2 - 8*f - 46*f**3 + 9*f to the form t + j*f**2 + b*f + z*f**3 and give j.
1
Rearrange (-3 + 1 + 1)*(-11339 - s**2 + s + 11187 + s) to the form a*s**2 + w + c*s and give c.
-2
Express (-32*r**3 - 74*r**3 + 91*r**3)*(2*r - 6*r + 3*r) + 0 - r**4 + 0 as h + b*r**3 + l*r + x*r**4 + v*r**2 and give x.
14
Express (2 - c - 2)*((-1 - 3 + 3)*(11 - 7 + 7)*(-2 + 3 + 1) - 2 - 3 + 2) in the form s + z*c and give z.
25
Express -4*n**3 + 5*n**3 - 26 - n**3 + 3*n**3 as t*n + c + j*n**2 + z*n**3 and give z.
3
Express 2 + 13*p**4 + p**3 + 5*p**2 - 22*p**4 - 25*p**2 + 0*p**3 + 10*p**4 in the form a*p**2 + y*p + b*p**4 + t + n*p**3 and give t.
2
Express 21*w**2 + 79*w**3 - 2*w - 23*w**2 - 28*w**3 in the form q*w**2 + n*w**3 + x + g*w and give n.
51
Rearrange ((4 - 3 + 0)*(f + 3*f - 6*f) + f - f - f - 16*f + 11061 - 11061 + 3*f + 3*f - 3*f)*(5 + 2 - 3) to the form k*f + m and give k.
-64
Express -1401*p**2 + 24*p + 214*p**2 - 24*p in the form f*p**2 + c*p + k and give f.
-1187
Express (-8 + 3 - 2)*(-1 + 1 - 3)*(-4 + 6 + 2)*(5*r + r - 5*r) as u + t*r and give t.
84
Express 152 + 27 + 3*m + 50 in the form v*m + o and give o.
229
Express -f**3 + 6*f**3 + f**2 + 5*f**3 - 11*f**3 - 31*f as s*f**2 + x*f**3 + o*f + r and give o.
-31
Express (-w**2 - 2*w**2 + 2*w**2)*(7*w + 76*w + 95*w)*(-2 + 3*w + 2 + (-5*w + 2*w + 4*w)*(-1 + 6 - 3)) as b*w**3 + g*w**4 + z + v*w**2 + f*w and give g.
-890
Express -3*r - 1105*r**4 + 5*r + 1 + 3*r**2 + 1104*r**4 - 2*r**3 as b + s*r**2 + j*r**4 + i*r + k*r**3 and gi | {
"pile_set_name": "DM Mathematics"
} |
when 363339 is divided by 13.
2
Calculate the remainder when 335810 is divided by 97.
93
What is the remainder when 55755 is divided by 31?
17
What is the remainder when 920105 is divided by 3119?
0
What is the remainder when 764 is divided by 291?
182
What is the remainder when 10881 is divided by 2?
1
What is the remainder when 389912 is divided by 12?
8
What is the remainder when 5970 is divided by 2891?
188
What is the remainder when 105187 is divided by 2145?
82
Calculate the remainder when 547475 is divided by 87.
71
Calculate the remainder when 18414 is divided by 127.
126
What is the remainder when 3824 is divided by 343?
51
Calculate the remainder when 122880 is divided by 36.
12
Calculate the remainder when 2573 is divided by 101.
48
Calculate the remainder when 9244 is divided by 262.
74
Calculate the remainder when 906442 is divided by 453214.
14
Calculate the remainder when 172377 is divided by 85.
82
What is the remainder when 76888 is divided by 169?
162
What is the remainder when 69028 is divided by 125?
28
What is the remainder when 6913 is divided by 70?
53
What is the remainder when 429 is divided by 216?
213
What is the remainder when 6026542 is divided by 1165?
1162
What is the remainder when 2294 is divided by 1140?
14
Calculate the remainder when 2088 is divided by 500.
88
What is the remainder when 4066 is divided by 51?
37
What is the remainder when 565291 is divided by 20?
11
Calculate the remainder when 18875 is divided by 994.
983
Calculate the remainder when 54222 is divided by 49.
28
Calculate the remainder when 5122 is divided by 164.
38
What is the remainder when 39797 is divided by 19885?
27
Calculate the remainder when 19783 is divided by 19783.
0
Calculate the remainder when 40507 is divided by 19.
18
What is the remainder when 1168 is divided by 1121?
47
Calculate the remainder when 391972 is divided by 52.
48
What is the remainder when 535869 is divided by 49?
5
What is the remainder when 288986 is divided by 11558?
36
Calculate the remainder when 14601 is divided by 168.
153
What is the remainder when 45130 is divided by 1599?
358
What is the remainder when 32530 is divided by 293?
7
What is the remainder when 14066 is divided by 4501?
563
What is the remainder when 95022 is divided by 1827?
18
What is the remainder when 26588 is divided by 444?
392
What is the remainder when 2983 is divided by 22?
13
Calculate the remainder when 362807 is divided by 196.
11
Calculate the remainder when 5298 is divided by 32.
18
What is the remainder when 10283 is divided by 2984?
1331
What is the remainder when 5838 is divided by 928?
270
Calculate the remainder when 38150 is divided by 65.
60
What is the remainder when 198024 is divided by 4?
0
Calculate the remainder when 1929 is divided by 666.
597
What is the remainder when 4079 is divided by 245?
159
Calculate the remainder when 373477 is divided by 206.
205
What is the remainder when 18596 is divided by 21?
11
What is the remainder when 1532 is divided by 380?
12
What is the remainder when 23365 is divided by 46?
43
What is the remainder when 94349 is divided by 47172?
5
Calculate the remainder when 16625 is divided by 554.
5
What is the remainder when 1793 is divided by 299?
298
Calculate the remainder when 4153345 is divided by 9.
7
Calculate the remainder when 42124 is divided by 10508.
92
Calculate the remainder when 67392 is divided by 15.
12
What is the remainder when 757 is divided by 151?
2
What is the remainder when 3719 is divided by 235?
194
Calculate the remainder when 11311 is divided by 205.
36
What is the remainder when 39245 is divided by 1065?
905
What is the remainder when 370460 is divided by 540?
20
What is the remainder when 752952 is divided by 1374?
0
What is the remainder when 578570 is divided by 369?
347
What is the remainder when 1507 is divided by 54?
49
What is the remainder when 417548 is divided by 12652?
32
What is the remainder when 82714 is divided by 27504?
202
What is the remainder when 659 is divided by 5?
4
Calculate the remainder when 6410 is divided by 495.
470
What is the remainder when 4528 is divided by 400?
128
Calculate the remainder when 105930 is divided by 1341.
1332
What is the remainder when 5319 is divided by 878?
51
What is the remainder when 4743 is divided by 103?
5
What is the remainder when 8881 is divided by 36?
25
What is the remainder when 11333 is divided by 552?
293
Calculate the remainder when 2003 is divided by 422.
315
What is the remainder when 1335169 is divided by 146?
145
Calculate the remainder when 47855 is divided by 656.
623
What is the remainder when 234671 is divided by 15?
11
Calculate the remainder when 15113 is divided by 15106.
7
What is the remainder when 38953 is divided by 106?
51
What is the remainder when 1195 is divided by 77?
40
Calculate the remainder when 8854 is divided by 684.
646
What is the remainder when 711 is divided by 266?
179
Calculate the remainder when 67122 is divided by 1222.
1134
What is the remainder when 64286 is divided by 2570?
36
Calculate the remainder when 4001 is divided by 1160.
521
What is the remainder when 230128 is divided by 42?
10
What is the remainder when 5284 is divided by 403?
45
What is the remainder when 12748 is divided by 172?
20
What is the remainder when 30082 is divided by 10001?
79
What is the remainder when 5600 is divided by 125?
100
Calculate the remainder when 1524 is divided by 292.
64
What is the remainder when 967 is divided by 54?
49
What is the remainder when 3719 is divided by 828?
407
Calculate the remainder when 41548 is divided by 31.
8
Calculate the remainder when 288124 is divided by 840.
4
What is the remainder when 13495 is divided by 10?
5
What is the remainder when 5681 is divided by 21?
11
Calculate the remainder when 58911 is divided by 660.
171
Calculate the remainder when 7292 is divided by 251.
13
Calculate the remainder when 20965 is divided by 29.
27
Calculate the remainder when 13492 is divided by 180.
172
What is the remainder when 2443 is divided by 548?
251
What is the remainder when 225555 is divided by 20?
15
What is the remainder when 7538 is divided by 7532?
6
What is the remainder when 8237 is divided by 235?
12
Calculate the remainder when 2019 is divided by 138.
87
What is the remainder when 6871 is divided by 381?
13
Calculate the remainder when 814 is divided by 80.
14
Calculate the remainder when 22638 is divided by 7456.
270
What is the remainder when 181481 is divided by 132?
113
Calculate the remainder when 314215 is divided by 143.
44
What is the remainder when 2654 is divided by 296?
286
What is the remainder when 11704 is divided by 87?
46
What is the remainder when 47875 is divided by 73?
60
What is the remainder when 159703 is divided by 13?
11
Calculate the remainder when 34649 is divided by 70.
69
What is the remainder when 796079 is divided by 31?
30
What is the remainder when 1414511 is divided by 418?
417
Calculate the remainder when 18572 is divided by 204.
8
Calculate the remainder when 103675 is divided by 1152.
1147
Calculate the remainder when 1077 is divided by 124.
85
What is the remainder when 171758 is divided by 2202?
2
What is the remainder when 6888 is divided by 140?
28
What is the remainder when 7170 is divided by 175?
170
Calculate the remainder when 3016 is divided by 101.
87
What is the remainder when 86162 is divided by 231?
230
Calculate the remainder when 8115 is divided by 279.
24
Calculate the remainder when 93090 is divided by 5817.
18
Calculate the remainder when 6429 is divided by 643.
642
Calculate the remainder when 500786 is divided by 7.
6
What is the remainder when 2021 is divided by 341?
316
Calculate the remainder when 7733 is divided by 16.
5
What is the remainder when 6728 is divided by 48?
8
Calculate the remainder when 403 is divided by 193.
17
Calculate the remainder when 1818 is divided by 1808.
10
What is the remainder when 66400 is divided by 102?
100
Calculate the remainder when 1839970 is divided by 223.
220
What is the remainder when 738 is divided by 731?
7
Calculate the remainder when 16305 is divided by 204.
189
What is the remainder when 13059 is divided by 283?
41
What is the remainder when 56489 is divided by 911?
7
What is the remain | {
"pile_set_name": "DM Mathematics"
} |
-2*z + 511 = 101. Suppose w - v = -5*o + z, 0 = 2*w + 10. What is the units digit of o?
4
Let b(n) = -10*n**3 - 4*n**2 + 24*n + 47. What is the units digit of b(-6)?
9
Let h(v) = -13*v - 39. Let a be h(-3). Let i = 259 + a. What is the units digit of i?
9
Suppose 6*d = d + 5*b + 300, 172 = 3*d - b. Suppose 4*a = -0*q - 4*q - d, -22 = a + 3*q. Let z = 171 - a. What is the tens digit of z?
8
Suppose -4*v - 64 = -8*l + 3*l, -4*v + 2*l - 76 = 0. Let m = -5 - v. What is the tens digit of m + 0/(0 - 3)?
1
What is the hundreds digit of (-108)/324 - (-66188)/6?
0
Let l(q) = -q**3 + 11*q**2 - 6*q + 1. Let y = -29 - -30. Let f be -1 + y + 42/12*2. What is the units digit of l(f)?
5
Let p(b) = -4*b**2 - 17*b - 22. Let k(u) = -8*u**2 - 34*u - 45. Let m(x) = -6*k(x) + 11*p(x). What is the hundreds digit of m(-13)?
4
Suppose 7*w - 41*w = -932858. What is the thousands digit of w?
7
Suppose 3*y + 24 = 2*u, -41 = 4*y + 4*u - 9. Let g be y/52 + 524/26. Let t = -6 + g. What is the units digit of t?
4
Let x(j) = 2*j + 32. Let r be x(-20). Let c(p) = 8*p**2 + 10*p + 23. Let d be c(r). Suppose 4*y + y = d. What is the tens digit of y?
9
Let o(y) = -y**3 + 6*y**2 + 6*y - 5. Let w be o(6). Suppose 3*j + w = 1177. What is the tens digit of j?
8
Let a be (-1 + 1)*(-13 + 14). What is the hundreds digit of (-783 - 14)*(a + 2)/(-2)?
7
Suppose 10*r - 5*r - 15 = 0. Let j = -8 - -12. Suppose -4*l - 353 = -0*z - r*z, l - 477 = -j*z. What is the tens digit of z?
1
Let b(s) = s**3 + 32*s**2 - 41*s + 47. Let m be b(-26). Suppose -5*i - 404 = -m. What is the units digit of i?
3
Let i be -133 - (4 + 0 + 0). Let q = i + 346. What is the hundreds digit of q?
2
Suppose -125*v + 3342163 = 7*v - 2076305. What is the thousands digit of v?
1
Let o(i) = 4*i**2 + 3 + 2*i - 1 + 3*i**2. Suppose 25*b - 20*b + 150 = -25*b. What is the hundreds digit of o(b)?
1
Suppose 4*d - 55 = -d. Let k be (-10)/((-304)/(-24) - 13). Let b = d + k. What is the tens digit of b?
4
Let o(s) = -2794*s - 1698. What is the units digit of o(-2)?
0
Let k(f) be the second derivative of 17*f**4/6 - 4*f**3/3 + 13*f**2/2 - f. Let y be ((-5)/(-3))/((-440)/(-528)). What is the tens digit of k(y)?
3
Let w(d) = -3*d - 11. Let m be w(-6). Suppose -m*c - 598 + 66 = 0. Let a = -20 - c. What is the tens digit of a?
5
Suppose -51702 = -3*w - 3*o, -86*w = -83*w - 3*o - 51732. What is the ten thousands digit of w?
1
Suppose a = -0 - 1. Suppose 55 = -p + 6*p. What is the tens digit of (3 + a)*p/2?
1
Suppose 5*t - 292 = 4*u, 2*u - t = -87 - 59. Suppose -2*w + f - 19 = 34, -w + 3*f = 29. Let o = w - u. What is the tens digit of o?
4
Suppose -140 = -4*s + 2*n - 30, 0 = 2*n - 10. Suppose p + 4*p - g = 22, 5*p - 5*g = s. Let f(u) = 2*u**2 + 5*u - 6. What is the tens digit of f(p)?
4
Let i(b) = b**3 - 76*b**2 - 66*b - 934. What is the tens digit of i(78)?
8
Suppose -c = -4, -136 = -4*j - 0*j + 2*c. What is the units digit of 1038 + (-9)/(j/(-8))?
0
Let y be 27*(1 - (-6)/(-9)). Suppose -2617 - 1262 = -y*q. Suppose 0 = -3*f + 109 + q. What is the units digit of f?
0
Suppose -3*c = -v - 2 + 5, 5*c = -4*v + 12. Let l be 20/(15/v) + 3. Suppose -4*z - l*z + 2299 = 0. What is the hundreds digit of z?
2
Let k(t) = 2*t + 18. Let l be k(-11). Let h be (50/l)/5*-2. Suppose u - 17 = -2*x, 0 = h*u + x + 4*x - 110. What is the tens digit of u?
2
Let n = -8652 - -30803. What is the thousands digit of n?
2
Suppose -6*r + 3*r = -117. Let y = -39 + r. Suppose 9*c - 4*c - 730 = y. What is the tens digit of c?
4
What is the units digit of 5 + 1236 - (-1 - -10)?
2
Suppose -21*q = -17*q - 24. Suppose f = -5*u - 18, q*f + 8 = 2*f - 4*u. Suppose 12 = f*a - 38. What is the tens digit of a?
2
Let z(l) = l**2 + 9*l + 22. Let w be z(-11). Let i be (286/4 + -1)/(33/w). Suppose -334 + i = -8*d. What is the tens digit of d?
3
Let s be 3*2 - (1 - 17). Suppose -s*l - 2560 = -27*l. What is the hundreds digit of l?
5
Let y(x) = 2*x**2 + 12*x - 12. Let n be (-40)/6 + (-14)/(-3) + -5. Let q be y(n). Suppose -5*r + q*r = -234. What is the tens digit of r?
7
Let c(s) = -3*s + 8. Let g be c(6). Let d(q) = -15*q - 2. Let w be d(g). Let u = w + -33. What is the hundreds digit of u?
1
Let t(j) = 138*j**2 - 93*j - 2139. What is the ten thousands digit of t(-21)?
6
Let m(x) = 10*x + 1801. What is the units digit of m(37)?
1
Let f(t) = 1374*t - 2999. What is the tens digit of f(21)?
5
Suppose 0*k - 3*k = 4*q - 1820, -4*q - 3076 = -5*k. Suppose k = -6*c - 660. Let t = 327 + c. What is the units digit of t?
5
What is the thousands digit of (-1848)/(-2079) - 45145/(-9)?
5
Let j(a) = -776*a - 1328. What is the units digit of j(-11)?
8
Let v(p) = 5514*p**2 - 10*p - 13. What is the thousands digit of v(-1)?
5
Let b(q) = -1718*q + 1674. What is the units digit of b(-17)?
0
Let s = 1809 - -9. Let v = -1212 + s. What is the tens digit of v?
0
Let q be (-69)/(-46)*(-242)/(-12)*8. Suppose -7*a - q + 1145 = 0. What is the hundreds digit of a?
1
Suppose -4*q - 15 + 31 = 0. Let j be -8*((-1)/(-4) + 2/q). What is the hundreds digit of -1 - ((-1)/(-6) + 793/j)?
1
Let i = 42639 + -29017. What is the units digit of i?
2
Suppose 0 = -2*z + 15*z - 39. Suppose 2*b - 1 = -z. What is the hundreds digit of b + 75/(-2)*(-42)/5?
3
Let f = 128781 - 67486. What is the hundreds digit of f?
2
Suppose -152*t + 167*t - 150 = 0. What is the tens digit of 7/(-35) - (-8432)/t?
4
Let f be (-288)/(-108)*(-18)/4. What is the thousands digit of ((-28)/(-10))/(f/(-4770))?
1
Let o = -1556 + 9327. What is the units digit of o?
1
Suppose -26*a + 383040 = 34*a. What is the units digit of a?
4
Let t(r) = 780*r**3 + 5*r**2 - 4*r - 6. What is the tens digit of t(2)?
4
Suppose -80289 = -3*y - s - 2*s, 6*y = 2*s + 160594. What is the thousands digit of y?
6
Let j = 12294 - 3530. What is the hundreds digit of j?
7
Let l be 4/18 - 32/144. Suppose -4*u = -3*p + 2*p + 6, -4*p = -5*u - 46. Suppose l = -p*m + 12*m + 214. What is the tens digit of m?
0
Let r = -14 + 13. Let z be 1/((-172)/174 + r + 2). Suppose 6*o - z = -3. What is the units digit of o?
4
Suppose -u - 3 = -4. Let w(j) = 5*j**3 - 2*j + 1. Let t be w(u). Suppose t*y - 2*x = 732, 2*x = -y + 260 - 67. What is the hundreds digit of y?
1
Suppose 5*o = 3*c + 7079, 44*c - 7064 = -5*o + 42*c. What is the hundreds digit of o?
4
Let i(x) = -x**3 + 34*x**2 - 189*x - 26. What is the hundreds digit of i(-23)?
4
Let k(t) = -t - 28. Let x be k(-31). Suppose 11 = x*u - 844. Suppose 0 = -5*a + 5*q + 345, -8*q + u = 4*a - 3*q. What is the units digit of a?
0
Suppose 0 = 2*o + 3*g - 5, 5 = -o - 6*g + 2*g. Suppose -3330 = k - o*k. What is the units digit of k?
5
Let d(k) = -382*k**3 - 6*k**2 - 53*k + 83. What is the thousands digit of d(-5)?
7
Suppose 5*k - 5 = 0, s - 114 = 5*s - 2*k. Let j = -21 - s. Suppose j*c - 4*c - 4*d - 226 = 0, -c + 82 = -3*d. What is the units digit of c?
0
Suppose -16 = h + 5*z, -2*z + 4*z = 2*h + 8. What is the tens digit of (-8 - (h + -1)) + 616?
1
Let k(h) = h**2 + h - 12. Suppose -3*q = 8*c - 4*c - 13, -5 = -2*q + c. Suppose 0 = q*s + 25 + 26. What is the hundreds digit of k(s)?
2
Let s be 8 - 28/(8 - 1). Let i(m) = 25*m - 70. What is the tens digit of i(s)?
3
Let y be 2/17 + 4999484/(-476). What is the tens digit of (1 + (-3)/9)*y/(-6)?
6
Let u(a) = -9*a**3 + 10*a**2 + 70*a + 80. What is the units digit of u(-7)?
7
Suppose -94 = 4*t - 106. Suppose -3*c - t*w - 173 + 860 = 0, 1149 = 5*c + w. Let y = c + 36. What is the hundreds digit of y?
2
Suppose -k = -3*b - 5*k - 22, 0 = 3*k + 3. Let f(h) = 17*h - 4 + 2*h**2 + 0*h**2 - 12*h. What is the units digit of f(b)?
8
Let a(s) = 2*s**2 + 7*s + 8. Let r be a(-3). Let c(o) = -14*o + r*o - 5*o - 11*o**2 - 1 - o**3 - 2. What is the tens digit of c(-10)?
3
What is the units digit of 12/(-56) - (-28)/((-1176)/(-1864809))?
0
Let j(r) be the third derivative of -5*r**6/8 + r**5/20 + r**4/8 + r**3/3 - 45*r**2. What is the units digit of j(-2)?
8
Suppose 12*z - 690511 = -242875. What is the tens digit of z?
0
What is the thousands digit of (32 - -23)*5/(150/3636)?
6
Suppose 21*u - 224 = -56. Let k(b) = 16*b**2 - 11*b - 12. What is the units digit of k(u)?
4
Let g = -2216 - -49. What is the tens digit of g/(-3) - (-260)/(-195)?
2
Suppose h - 3*m - 8384 = 0, -10*h = -5*h + m - 41968. What is the hundreds digit of h?
3
Sup | {
"pile_set_name": "DM Mathematics"
} |
Solve 3*r = -x*r + 120 for r.
6
Suppose y - 5*r = 190, 42*y + 4*r = 40*y + 338. Solve 0 = -y*s + 181*s - 24 for s.
4
Let u(j) = j**3 - 6*j**2 - 28*j + 15. Let o be u(9). Let s be o/(((-90)/6)/(-5)). Solve -8 = -s*c - 2 for c.
3
Let d = -426 + 431. Suppose -10*n + 11*n - 33 = d*y, -4*n + 47 = -3*y. Solve -4 = 6*f + n for f.
-2
Let a = 895 - 895. Suppose -1 = -3*v - 0*r + 2*r, 3*v - 4*r + 7 = a. Solve -3 = v*u + 9 for u.
-4
Suppose -2*u + 2*d = -0*d, 0 = d - 2. Suppose -k = -4*q + k + 46, -u*q + 4*k + 32 = 0. Suppose -2*a + q = 3*a. Solve a*j - 10 = -3*j for j.
2
Let u = 35771 - 33930. Solve 0 = 14*l - u + 1715 for l.
9
Let h = -15 + 18. Suppose 1 = x - h. Suppose 5*d = -15, -28 = -5*z - d - 6. Solve -z*a = -a - x for a.
1
Suppose -58 = 5*t - 333. Let s be (-50)/(-5) - -3 - -36. Let m = t - s. Solve z - 1 = -m for z.
-5
Suppose -7*h + 42 = t, 4*t + 6*h = 4*h + 64. Solve -2*q = -t + 10 for q.
2
Let w(i) = 51*i + 1982. Let p be w(-20). Solve -p*g + 969*g = 14 for g.
2
Suppose -8 = -6*w + 1066. Suppose -8*f + 77 = -w. Solve m + f - 33 = 0 for m.
1
Suppose 5*u = 32 - 7. Let t(s) = -8*s - 1. Let h = 35 - 37. Let g be t(h). Solve u*f + g = -0*f for f.
-3
Suppose y - l + 232 = 0, -282 = y - 5*l - 50. Let n = y + 240. Suppose -6 = -3*z + 2*k + 11, -3*k - 24 = -4*z. Solve n*j = z*j - 5 for j.
-1
Let c(g) = g**2 - 2*g - 3. Let a be c(6). Suppose -2*v = -5*x - 110, x + 3*v + 1 = -4. Let u = x + a. Solve 0 = -m - 2 - u for m.
-3
Suppose -a - 5*d - 5 = -2*d, -3*a - d = -17. Solve 9 - 37 = -a*f for f.
4
Let u(v) = 108*v**2 + 2698*v + 16. Let p be u(-25). Solve -35 = -p*y + 101*y for y.
-1
Suppose 58*d - 469 = 459. Solve -18 = 22*a - d*a for a.
-3
Let l = 170 + -98. Let z = l + -61. Let k = -4 + z. Solve i + k = 3 for i.
-4
Suppose -6*r + 42*r - 144 = 0. Let s(d) = 2*d**2 + 21*d - 102. Let o be s(r). Solve -o + 22 = -4*q for q.
-2
Suppose -119*i + 124 = -115*i - 4*y, 4*i + y = 129. Solve 11*x + 23 = -i for x.
-5
Let o = 1421 + -1418. Let h(q) = 1 - 2*q**3 - 2*q**2 + 4*q - q + 2*q**2 - 3*q**2. Let b be h(-3). Solve -o = -4*t - b for t.
-4
Let h be 5/4 + -1 + 539/4. Suppose 142*t - 168 = h*t. Solve 3*b + 3*b + t = 0 for b.
-4
Let w = -2431 + 2979. Solve -7*b - w = -604 for b.
8
Let t = 675 - 663. Let v = 39 + -27. Suppose -t = -v*i + 10*i. Solve 0 = m - i + 1 for m.
5
Let g(j) = j**3 + 16*j**2 - 19*j - 34. Let i be g(-17). Solve i = 5*l + 45 - 40 for l.
-1
Suppose 59*v + 64*v = -47*v + 50490. Solve 72*p = -9 + v for p.
4
Let s(c) = -2*c**2 + 51*c + 392. Let h be s(-6). Solve 12*n + h*n = 52 for n.
2
Suppose g = -4*z + 2, 0 = g - 0*g + z - 5. Suppose -g*m = -7*m - 10*m. Solve m*h + 6 = 3*h for h.
2
Let r(y) = -y**3 + 38*y**2 - 69*y - 98. Let b be r(36). Solve -81*a = -76*a - b for a.
2
Let v = -5251 - -5314. Solve -v*c = -137 + 326 for c.
-3
Suppose 8*l = 8 + 24. Let f be (-1)/(l/(-2) - -3). Let y = -1 - f. Solve 0 = 3*d - y + 12 for d.
-4
Let k(x) = 69*x - 41. Let r be k(4). Solve 229*d = r*d - 18 for d.
3
Let f(z) = -z**3 - 18*z**2 - 15*z. Let y be f(-15). Let i = y - -453. Solve -5*u + i = -2 for u.
1
Suppose 12*t = 139 + 101. Let h be 18*(-4)/(-96)*4. Solve -h*m = 35 - t for m.
-5
Let f(m) = -2*m**3 - 107*m**2 - 49*m + 228. Let c be f(-53). Solve 8*g = 8 + c for g.
3
Let t be 0*(-1)/(-2)*-1. Let s(k) = -1 + 14*k + 60 - k - 2*k. Let b be s(-4). Solve -3*w + b = -t*w for w.
5
Let z = -865 + 873. Solve 0 = -21*b + z - 50 for b.
-2
Let u = -18 + 16. Let g be (642/(-24))/(u/(-8)). Let b = g + 109. Solve b*d + d = -15 for d.
-5
Suppose 239*c = 969 + 465. Solve -c = 13*a + 46 for a.
-4
Suppose 2*f - 44 = -9*f. Suppose -w - 4*w = -f*w. Let j be (-17)/34*(w - 0). Solve -2*r = -2 - j for r.
1
Let l(v) = -v**3 - 7*v**2 + 24*v + 197. Let t be l(-6). Solve t*h - 4*h = 78 for h.
6
Suppose -67*a - 32 = -75*a. Suppose o = -p - 0 + 2, -2*p - o = -a. Solve 2*s = -p*s - 8 for s.
-2
Suppose 0 = 4*s - 133 + 133. Let j be (-5 - -1)*(9/12 + -3). Suppose -j*q + 11*q - 6 = s. Solve -q*i + 7 + 8 = 0 for i.
5
Suppose 7*u - 1 = -1. Suppose u*v + 8*v = -6*v. Solve -5*i + i + 16 = v for i.
4
Suppose 0 = 36*m - 34*m - 230. Suppose 5*k - 379 = 4*g - m, -4*k - 371 = 5*g. Let j = g - -76. Solve j = -4*l + 21 for l.
4
Let c be (-858)/9*534/(-356). Solve 5*o = 118 - c for o.
-5
Let d = 42 + -54. Let w be 20*-1*6/d. Solve 0 = 3*a + 2*a + w for a.
-2
Let z(a) = 2*a**2 + 27*a + 133. Let s be z(-12). Solve -27*d - 16 + s = 0 for d.
3
Suppose 0 = -0*x + 2*x - 12. Let w(d) = 25*d - 138. Let l be w(x). Solve -17*i + l*i = 10 for i.
-2
Suppose 0 = 5*k - 5*o - 7 - 3, -k = 5*o - 14. Suppose -2*l - 18 = 4*v, -34*v = -31*v - 3*l - 27. Solve a - 6 + k = v for a.
2
Let j = -3626 - -3650. Solve 23*y + j = 1 for y.
-1
Suppose 0 = 6*k - 5*c - 19, -12 = -3*k - 5*c + 5. Solve -5 = k*b + 7 for b.
-3
Let z be -6 - (-6 + (-42)/(-6)). Let f be (-432)/(-189) + 2/z. Suppose -2*p - 2 + 6 = 0. Solve f = p*k - 4 for k.
3
Suppose -3453*l - 52 = -3466*l. Let g be (-4)/10 + 64/10. Suppose 0 = -5*q - 3*k + 12, l = -5*q + g*k - 5*k. Solve p - 3 - 1 = q for p.
4
Let m be (-1 - (1 + -335)) + (-20)/20. Suppose 8*z + m = 356. Solve 2*c = -1 - z for c.
-2
Suppose -128 + 64 = 2*w. Let r be ((-45)/(-12))/(5 + 156/w). Solve 26*j - r*j = 12 for j.
-3
Suppose -2*s = 78*l - 79*l - 2012, 0 = l + 2. Solve s*r - 1001*r = -16 for r.
-4
Let b(u) = u**2 - 9*u - 22. Let f be b(11). Suppose -7*q + 49 - 623 = f. Let p = 84 + q. Solve -3*w = -p + 11 for w.
-3
Let r(m) = 4*m**2 + 1. Let q = -231 - -129. Let l = q + 103. Let n be r(l). Solve -n*b = -3*b - 10 for b.
5
Suppose 228*u - 225*u - 25 = -5*x, -2*u = -5*x. Suppose -4*s = -6 - 18. Suppose -3*w = s - 18. Solve -y - w = -u*y for y.
1
Let d(c) = 2*c**2 + 132*c - 134. Let y be d(-67). Solve y = -34*b + 18*b for b.
0
Let j = 438 + -431. Suppose 4*c = -5*c + j*c. Solve c = -9*v + 2*v - 14 for v.
-2
Suppose 0 = -49*f + 31*f + 810. Suppose -f*a + 33 = -42*a. Solve -6*j = 1 + a for j.
-2
Let z(g) = -2*g + 3*g**2 + 3 + 3*g**2 - 3*g**2. Suppose -1 = -o - 3*s, 3*s + 2*s = 0. Let x be z(o). Solve -3*k - x = 2 for k.
-2
Let x(g) = -g**3 + 6*g**2 + 11*g - 9. Let w be x(8). Let n = w + 124. Suppose -s + 77 = n. Solve 5 = -7*r + s*r for r.
-1
Let k = 9 + -5. Let j be (2 - (-26352)/(-78)) + 2/(-13). Let w = -331 - j. Solve 0 = -d - k*d - w for d.
-1
Suppose 108 = 10*k + 88. Let o be 3/(-2)*2*-1. Suppose 12 = 2*b - 6*b, b + o = k*n. Solve n*y = -3*y + 9 for y.
3
Let x be (40 - 42) + 1*11. Suppose 18 = x*a - 0. Solve a*b = 4*b - 2 for b.
1
Let z = 94 + -51. Suppose 0 = -2*x + 47 + z. Let l = 48 - x. Solve -6 + 21 = l*h for h.
5
Suppose 5*w - 640 = -5*t, 3*w + 62 - 444 = -5*t. Solve 7*b + w = 143 for b.
2
Suppose -19*v + 14*v - 15 = 0, -5*p = -v - 28. Solve -6*r = -5*r + p*r for r.
0
Suppose 4*u + 2*o - 8 = -3*o, 5*u - 10 = 2*o. Suppose 2*v + 1 = j, -u*v + 0 = -3*j + 7. Solve w = -j*w + 4 for w.
1
Let p(m) = 4*m - 2*m - m + 0*m + 1. Let y be p(4). Let f(r) = 202*r + 18610. Let n be f(-92). Solve -n = y*s - 1 for s.
-5
Let n be (-78)/(-8) - 540/(-432). Solve 82 = -n*j + 38 for j.
-4
Let m = -32 + 34. Suppose -m*r + 6*r = -108. Let l = -23 - r. Solve l = a + a for a.
2
Let z(q) = q**2 - 4*q + 5. Let h be z(1). Suppose 6*k - h*k - 16 = 2*c, 5*k - 2 = -2*c. Let y be (-1 + c)/(140/(-168)). Solve -5*i + 3*i - y = 0 for i.
-3
Let a be 4 - (-1)/(2/(-4)). Suppose -5*v - 42 = -4*i + a, -20 = 5*v. Solve 0 = 9*h - i*h + 12 for h.
-4
Let q(f) = f**3 - 5*f**2 - 10*f + 28. Let g be q(6). Suppose 11 = 3*k + 4*n, -n + 3 = -g*n. Solve -4*a + 4 = -k*a for a.
-4
Suppose -16*c - 20 = -17*c + 2*n, c + n + 1 = 0. Let r(s) = s**2 + 3*s + 3. Let v be r(-3). Solve -v*i + c = -6*i for i.
-2
Let x = 87 + 30. Let n = x - 107. Suppose 8 = -u + n. Solve k - 6 = -u*k for k.
2
Suppose 0 = -4*s - 5*d + 18, 35 = -2*s + 4*d + 31. Suppose -2*r = -s*o + 30, 2*r = -0*r - 10. Solve 3*z + o = -2*z for z.
-2
Suppose -5*q - 2*p = -17, 11 + 3 = 5*q - p. Solve -q*w + 252 = 60*w for w.
4
Suppose 45*p = -2*w + 49*p - 2, p = -2*w + 38. Solve w*l + 42*l = -513 for l.
-9
Suppose -14*y - 70 = -5*c - 19*y, -8 = 2*y. Suppose c*j = 60 + 102. Solve 8*v = j*v + 3 for v.
-3
Let k(v) = -v**3 - 9*v**2 - 9*v - 7. Let l be k(-8). Let t be (-290)/(-25) + (l - 3/5). Suppose -27*s + t = -26*s. Solve -s = -3*d + 3 for d.
5
Let p(m) be the second derivative of -5*m**3/6 - | {
"pile_set_name": "DM Mathematics"
} |
nt from {y: 1, m: 17}. Give prob of sequence ym.
1/18
What is prob of sequence ccmc when four letters picked without replacement from {m: 4, c: 10}?
120/1001
Four letters picked without replacement from chchch. What is prob of sequence hchc?
1/10
Two letters picked without replacement from {q: 1, c: 1, r: 1, g: 2}. Give prob of sequence rq.
1/20
Three letters picked without replacement from {w: 3, u: 2, x: 7, g: 1, z: 5, j: 2}. Give prob of sequence xxu.
7/570
Two letters picked without replacement from {j: 4, u: 5, k: 2}. Give prob of sequence jj.
6/55
What is prob of sequence yyyy when four letters picked without replacement from yyyyyyyyyyyxyxyyyyy?
35/57
What is prob of sequence gy when two letters picked without replacement from {p: 2, y: 1, h: 2, a: 2, x: 1, g: 5}?
5/156
What is prob of sequence tbyg when four letters picked without replacement from {y: 2, g: 1, b: 1, s: 1, t: 1, a: 1}?
1/420
What is prob of sequence qeq when three letters picked without replacement from {q: 9, e: 2}?
8/55
What is prob of sequence jgv when three letters picked without replacement from {l: 1, v: 1, g: 6, j: 1, b: 4}?
1/286
Three letters picked without replacement from {e: 3, c: 1, n: 2, i: 13}. What is prob of sequence cie?
13/1938
What is prob of sequence bf when two letters picked without replacement from fbf?
1/3
Calculate prob of sequence ssw when three letters picked without replacement from hshshhhwhhsshhshwnnn.
1/171
Two letters picked without replacement from {a: 3, s: 2, l: 1, i: 1}. What is prob of sequence li?
1/42
Three letters picked without replacement from {k: 3, r: 6, l: 6}. Give prob of sequence kkl.
6/455
Three letters picked without replacement from ufyutbtbxxfbfftfbfub. What is prob of sequence yut?
1/760
Calculate prob of sequence pj when two letters picked without replacement from {j: 9, p: 9}.
9/34
Two letters picked without replacement from {r: 4, d: 1, k: 2, f: 8}. Give prob of sequence kd.
1/105
Calculate prob of sequence qzqg when four letters picked without replacement from {g: 2, q: 2, z: 4}.
1/105
Two letters picked without replacement from {u: 1, w: 4, f: 1, v: 2, t: 1}. Give prob of sequence ut.
1/72
Four letters picked without replacement from zizzziz. What is prob of sequence iizz?
1/21
Two letters picked without replacement from {v: 1, f: 1, w: 5, r: 5, u: 3}. Give prob of sequence wv.
1/42
Four letters picked without replacement from fzzffzzzzzzzzf. What is prob of sequence zzff?
45/1001
Two letters picked without replacement from {s: 2, i: 1, f: 1, v: 1, z: 1, e: 1}. Give prob of sequence vs.
1/21
What is prob of sequence paw when three letters picked without replacement from {h: 1, p: 2, w: 1, a: 1, m: 1, e: 1}?
1/105
Two letters picked without replacement from ggmmmggmgmgm. Give prob of sequence gm.
3/11
Calculate prob of sequence icg when three letters picked without replacement from giiggiggiggicc.
5/156
Calculate prob of sequence ilmi when four letters picked without replacement from lmizmiimzlzzz.
3/1430
What is prob of sequence ru when two letters picked without replacement from {u: 6, r: 2}?
3/14
What is prob of sequence aad when three letters picked without replacement from rrrammdaam?
1/120
Calculate prob of sequence sss when three letters picked without replacement from sssssss.
1
Three letters picked without replacement from {o: 1, q: 3, a: 1, g: 1, d: 1}. Give prob of sequence aaa.
0
Three letters picked without replacement from {u: 3, e: 1}. Give prob of sequence uue.
1/4
Two letters picked without replacement from wwwwvwwwwwww. What is prob of sequence vw?
1/12
What is prob of sequence xkcx when four letters picked without replacement from kxkcsxxx?
1/70
Three letters picked without replacement from xaaao. Give prob of sequence oxo.
0
Four letters picked without replacement from uwuwkkkuukk. Give prob of sequence uwkw.
1/198
What is prob of sequence zz when two letters picked without replacement from {c: 9, z: 5}?
10/91
Calculate prob of sequence xxlw when four letters picked without replacement from {l: 1, w: 6, v: 6, p: 1, x: 3, t: 3}.
1/3230
What is prob of sequence nk when two letters picked without replacement from {k: 2, n: 6}?
3/14
Four letters picked without replacement from oooooxoooxoxoooxoooo. Give prob of sequence oooo.
364/969
Calculate prob of sequence jgr when three letters picked without replacement from rrmrgjbrmrbb.
1/264
Calculate prob of sequence cccc when four letters picked without replacement from {y: 2, w: 6, c: 4}.
1/495
Calculate prob of sequence bgt when three letters picked without replacement from gbggttttttbg.
2/55
Four letters picked without replacement from {v: 3, g: 7, j: 1, a: 5}. Give prob of sequence vgvv.
1/1040
Two letters picked without replacement from mppgpqqmppgzqgqqppqq. What is prob of sequence pg?
21/380
Calculate prob of sequence qe when two letters picked without replacement from {e: 1, f: 3, p: 4, q: 1, a: 2}.
1/110
Two letters picked without replacement from qrqqrfrkrqnrnnrr. What is prob of sequence nn?
1/40
Calculate prob of sequence lm when two letters picked without replacement from {v: 2, h: 1, l: 1, m: 1, n: 4}.
1/72
Four letters picked without replacement from {a: 7, z: 1, c: 1, v: 3}. Give prob of sequence acvz.
7/3960
Four letters picked without replacement from {h: 3, u: 5, x: 3, y: 1, n: 5, p: 1}. Give prob of sequence phnh.
1/2448
What is prob of sequence us when two letters picked without replacement from {z: 1, a: 1, s: 1, p: 1, u: 1}?
1/20
Four letters picked without replacement from {f: 1, q: 5, v: 1, a: 2, i: 1, r: 3}. What is prob of sequence airv?
1/2860
Four letters picked without replacement from oeoeeeo. What is prob of sequence ooeo?
1/35
Two letters picked without replacement from vvvbvvqqqvqvvb. What is prob of sequence vb?
8/91
Calculate prob of sequence iib when three letters picked without replacement from {i: 1, h: 1, o: 13, b: 5}.
0
What is prob of sequence ouw when three letters picked without replacement from {w: 6, u: 1, j: 1, o: 1}?
1/84
Four letters picked without replacement from dwwllgrwdlw. What is prob of sequence grll?
1/1320
What is prob of sequence is when two letters picked without replacement from oofoffsoiioo?
1/66
What is prob of sequence nqp when three letters picked without replacement from {p: 3, q: 12, n: 3}?
3/136
Four letters picked without replacement from fffffbfbfmffbbmffbf. Give prob of sequence mfmb.
5/3876
What is prob of sequence pk when two letters picked without replacement from {p: 3, k: 3}?
3/10
What is prob of sequence tdrh when four letters picked without replacement from {d: 2, t: 2, m: 1, r: 4, h: 1}?
1/315
Three letters picked without replacement from jjjjuuju. Give prob of sequence uuj.
5/56
Three letters picked without replacement from hvvhvvhhvvhvhh. What is prob of sequence hhh?
5/52
What is prob of sequence ji when two letters picked without replacement from {o: 3, u: 9, q: 1, j: 2, i: 3}?
1/51
Calculate prob of sequence zzz when three letters picked without replacement from {z: 9}.
1
Calculate prob of sequence llsa when four letters picked without replacement from lqlwlaqaqsllqqlqq.
1/952
Three letters picked without replacement from nanmnmm. What is prob of sequence mnm?
3/35
What is prob of sequence zzoz when four letters picked without replacement from {z: 3, g: 4, o: 1}?
1/280
Four letters picked without replacement from {q: 1, y: 3, b: 5}. Give prob of sequence bbby.
5/84
Calculate prob of sequence xx when two letters picked without replacement from {x: 2, v: 3, w: 3}.
1/28
Four letters picked without replacement from {c: 5, m: 1, o: 7}. What is prob of sequence ocoo?
35/572
Two letters picked without replacement from nnindiniiiinninnnn. Give prob of sequence nd.
5/153
Three letters picked without replacement from {d: 2, j: 5, g: 2}. Give prob of sequence jjd.
5/63
Two letters picked without replacement from {m: 2, o: 1, h: 1, l: 2}. Give prob of sequence ol.
1/15
Three letters picked without replacement from jhhjhjiihmjhhhjhjhjh. What is prob of sequence hii?
1/342
Two letters picked without replacement from thttttttthtthtt. What is prob of sequence ht?
6/35
Calculate prob of sequence qq when two letters picked without replacement from {q: 2, j: 1, i: 2}.
1/10
Two letters | {
"pile_set_name": "DM Mathematics"
} |
sqrt(99))**2 + -4).
285
Simplify 1*(sqrt(180) + -3).
-3 + 6*sqrt(5)
Simplify 4 + ((sqrt(1100) - ((-2*sqrt(1100)*-6 - sqrt(1100)) + sqrt(1100) + sqrt(1100)))*-5)**2.
3960004
Simplify -2 + (sqrt(160)/sqrt(2) + -6*sqrt(20))**2.
318
Simplify sqrt(143)/(-1*sqrt(11)) + 1 + (sqrt(26)/sqrt(2))**2 + 5.
-sqrt(13) + 19
Simplify sqrt(44)/(sqrt(4)*-2 - sqrt(4)) + sqrt(704)/sqrt(4).
11*sqrt(11)/3
Simplify sqrt(12)/(sqrt(36)*1).
sqrt(3)/3
Simplify sqrt(39)/(3*sqrt(3)*4).
sqrt(13)/12
Simplify (-5 + -1*sqrt(832) - (sqrt(832) - ((2 + sqrt(832)*-1 - sqrt(832)) + sqrt(832))))**2.
144*sqrt(13) + 7497
Simplify (2*sqrt(68))**2*6.
1632
Simplify (sqrt(140)/sqrt(4)*6)/sqrt(7) + 6*((sqrt(5)*-2 - sqrt(5))*-1 + sqrt(5)).
30*sqrt(5)
Simplify (-1*sqrt(77)*-5)/(sqrt(70)/(sqrt(10)*-1)).
-5*sqrt(11)
Simplify -5*(2 + sqrt(720))**2.
-3620 - 240*sqrt(5)
Simplify -1*sqrt(200) - (((sqrt(32)/sqrt(8) + sqrt(4))/sqrt(2) - sqrt(2)) + sqrt(2)).
-12*sqrt(2)
Simplify (-3 + sqrt(176) - (1*sqrt(11) + sqrt(11) + -1))**2.
-8*sqrt(11) + 48
Simplify 1 + (1 + sqrt(17))*-6 - ((sqrt(1377) - sqrt(1377)*2) + -2)**2.
-1386 - 42*sqrt(17)
Simplify 1 + 4*sqrt(117).
1 + 12*sqrt(13)
Simplify ((sqrt(70) + sqrt(70)*2)/sqrt(10) + sqrt(7)*-2 + -1)**2.
-2*sqrt(7) + 8
Simplify (-5 + -1*sqrt(363) + 2 + 0 + sqrt(363))**2.
9
Simplify -5 + (sqrt(5) - ((sqrt(125)*-1)**2 - sqrt(125))).
-130 + 6*sqrt(5)
Simplify (sqrt(1573) - ((sqrt(1573) + -3*sqrt(1573) + 1 - sqrt(1573)) + sqrt(1573)))**2 + 1.
-66*sqrt(13) + 14159
Simplify (sqrt(72) + 3)**2*-6*1.
-486 - 216*sqrt(2)
Simplify (1 + -4 + sqrt(315)/sqrt(7))**2.
-18*sqrt(5) + 54
Simplify ((sqrt(450) + sqrt(450)*1)/sqrt(10))/((sqrt(54)*3 - sqrt(54))/sqrt(6)).
sqrt(5)
Simplify ((sqrt(80) - sqrt(20)) + (sqrt(5) - 4*sqrt(20)/sqrt(4)))**2.
5
Simplify 4*(sqrt(33) + sqrt(99)/sqrt(3))/sqrt(11).
8*sqrt(3)
Simplify sqrt(14)/(sqrt(2) + sqrt(18)) - (sqrt(252) + 1 + sqrt(252))**2.
-1009 - 95*sqrt(7)/4
Simplify ((5*((sqrt(95) - sqrt(95)*2) + sqrt(95)) + sqrt(95))/sqrt(5)*-2*-3)**2.
684
Simplify -5*(sqrt(832) + -2 - sqrt(832)).
10
Simplify sqrt(567)/(2*sqrt(9)).
3*sqrt(7)/2
Simplify 5*(2 + sqrt(125)).
10 + 25*sqrt(5)
Simplify sqrt(18)/(sqrt(12)/sqrt(2))*-6.
-6*sqrt(3)
Simplify sqrt(171)/(sqrt(36) + sqrt(9)) - -2*sqrt(1900).
61*sqrt(19)/3
Simplify sqrt(25)/sqrt(5)*-6 + (sqrt(500) + 0)**2 + sqrt(500).
4*sqrt(5) + 500
Simplify -2*sqrt(72) + (sqrt(2) - (sqrt(2) - sqrt(18)))**2 + 3.
-12*sqrt(2) + 21
Simplify ((-2 + sqrt(80)*-1)*-6)**2.
576*sqrt(5) + 3024
Simplify (sqrt(600) - sqrt(600)*2)/((sqrt(12) - (sqrt(108) + sqrt(12)))*4).
5*sqrt(2)/12
Simplify 1*(-2 + sqrt(200) + sqrt(200) + sqrt(200))**2*-6.
-10824 + 720*sqrt(2)
Simplify (sqrt(24)*-3)/sqrt(12) + -5.
-5 - 3*sqrt(2)
Simplify -2*(sqrt(17) - sqrt(51)/sqrt(3)) + (sqrt(17) - (sqrt(833) - (-1 + sqrt(833)))).
-1 + sqrt(17)
Simplify (sqrt(416) - (sqrt(416) + sqrt(416)*-2 + sqrt(416)))/(sqrt(2) + sqrt(10)/sqrt(20)).
8*sqrt(13)/3
Simplify ((sqrt(1331) + 0)**2 - (sqrt(704) + 1))*1.
-8*sqrt(11) + 1330
Simplify (4 + sqrt(180)/sqrt(4))**2 + -3.
24*sqrt(5) + 58
Simplify (-5 + sqrt(98) + 0 - sqrt(98)) + (sqrt(98) + 2)*2 + sqrt(98).
-1 + 21*sqrt(2)
Simplify 3*sqrt(33)/sqrt(3) + sqrt(44) + 0.
5*sqrt(11)
Simplify (-4*sqrt(68)*1*-1)**2*-4.
-4352
Simplify -5 + (sqrt(153) + (2*(sqrt(153) + -1*sqrt(153)) - sqrt(153)) + sqrt(153) + sqrt(153) + sqrt(153))/sqrt(9).
-5 + 3*sqrt(17)
Simplify -3 + sqrt(252) + sqrt(252) + -1 - (3 + (0 + sqrt(252))**2).
-259 + 12*sqrt(7)
Simplify sqrt(3)*1*-4 + (sqrt(3) - sqrt(24)/sqrt(128)) + sqrt(3).
-9*sqrt(3)/4
Simplify (3*3*sqrt(76))/(1*sqrt(144)).
3*sqrt(19)/2
Simplify sqrt(35)/((sqrt(70)*-2)/sqrt(10))*1.
-sqrt(5)/2
Simplify ((sqrt(700) + -1)*-6 + sqrt(700))**2.
-600*sqrt(7) + 17536
Simplify sqrt(14)/sqrt(2)*-1 + -5.
-5 - sqrt(7)
Simplify (4 + sqrt(72) + 2 + -2 + sqrt(288))**2.
144*sqrt(2) + 664
Simplify (sqrt(84)/(-3*sqrt(48)) + 5)**2.
-5*sqrt(7)/3 + 907/36
Simplify ((3*sqrt(1375))/sqrt(11)*2)**2.
4500
Simplify ((sqrt(48)*-2)/sqrt(8))/((2*sqrt(14))/sqrt(7) + sqrt(2) - sqrt(2)).
-sqrt(3)
Simplify (sqrt(1300) + 2 + 1 + (sqrt(1300)*-1*4 - sqrt(1300)))**2.
-240*sqrt(13) + 20809
Simplify (sqrt(72) - sqrt(72)*-1 - 6*(1 + sqrt(2)))**2.
-72*sqrt(2) + 108
Simplify (sqrt(216)/(sqrt(12)/sqrt(2)))/sqrt(12).
sqrt(3)
Simplify ((sqrt(114) + sqrt(114) + -2*sqrt(114)*2 + sqrt(114))/sqrt(6))**2.
19
Simplify (sqrt(539)/(sqrt(11)*-1))/sqrt(7).
-sqrt(7)
Simplify (sqrt(63)*1 + sqrt(63))/sqrt(9)*-2.
-4*sqrt(7)
Simplify (5*sqrt(14))/sqrt(7) + sqrt(14)/sqrt(7)*-4.
sqrt(2)
Simplify ((2*sqrt(136)*2 - sqrt(136) - sqrt(136) - sqrt(136))/(-2*sqrt(72)))**2.
17/36
Simplify sqrt(33)/(sqrt(1584)*-1).
-sqrt(3)/12
Simplify (sqrt(400) - (sqrt(400) - -2*sqrt(400)))/sqrt(800).
-sqrt(2)
Simplify ((6*sqrt(121)*3)/(sqrt(880)/sqrt(5)))**2.
891/4
Simplify (3*(sqrt(65)*-2 - sqrt(65)) + sqrt(65))/((sqrt(5) - (sqrt(5) - 2*sqrt(5)))*-5).
4*sqrt(13)/5
Simplify sqrt(57)/sqrt(75)*-5.
-sqrt(19)
Simplify 3 + (sqrt(75)*4)**2.
1203
Simplify -1 + -4 + -1 + sqrt(98) + -1*sqrt(98)*-4.
-6 + 35*sqrt(2)
Simplify (1 + -1 + sqrt(1053) + -1)**2.
-18*sqrt(13) + 1054
Simplify (sqrt(2) - (-3 + sqrt(4)/sqrt(2))) + sqrt(108)/sqrt(6).
3 + 3*sqrt(2)
Simplify 5*sqrt(102)/sqrt(6)*-3*-4.
60*sqrt(17)
Simplify sqrt(26)/(sqrt(8) + sqrt(2) - sqrt(2)) + sqrt(13) - (sqrt(26)/sqrt(2) + 0)**2.
-13 + 3*sqrt(13)/2
Simplify -5*-1*(sqrt(91)/(sqrt(28)/sqrt(4)))**2*-4.
-260
Simplify (sqrt(11) - sqrt(44)/(sqrt(36)/sqrt(9))) + sqrt(11) + 5 + -5.
sqrt(11)
Simplify (-1*sqrt(16))/((sqrt(56)/sqrt(4))/sqrt(7)).
-2*sqrt(2)
Simplify -2 + -5*(1 + sqrt(72) + sqrt(72)) + sqrt(72).
-54*sqrt(2) - 7
Simplify (1 + (1 + sqrt(153))*-4)**2.
72*sqrt(17) + 2457
Simplify ((sqrt(77) - -1*(sqrt(77)*-2 - sqrt(77)))/((sqrt(7) - (sqrt(7) - sqrt(7)*2))*-3 - sqrt(7)))**2.
44/49
Simplify (-3 + sqrt(192) + 0 - (sqrt(192) - ((sqrt(192) - (-3 + sqrt(192) + 0 + sqrt(192))) + sqrt(192))))**2.
0
Simplify (6*(sqrt(65)/sqrt(5) + 2 - sqrt(637)*-1))**2.
1152*sqrt(13) + 30096
Simplify (sqrt(720)*-2)/((sqrt(9) - -1*sqrt(225) - sqrt(9)) + sqrt(9)).
-4*sqrt(5)/3
Simplify (-4 + sqrt(21)/sqrt(3) - sqrt(7))**2 + 4 - (-2 + -4 + (sqrt(28)/sqrt(4))**2).
19
Simplify 4*(0 + sqrt(2) + sqrt(2) + 2) + -3*sqrt(128)*-2.
8 + 56*sqrt(2)
Simplify (sqrt(8)*6 - sqrt(2)) + -5.
-5 + 11*sqrt(2)
Simplify ((sqrt(176)/sqrt(4))/sqrt(4) + sqrt(11))**2 + (4 + 0 + sqrt(11))**2 + sqrt(11) + (0 + sqrt(11))*1 + sqrt(11) + 1.
11*sqrt(11) + 72
Simplify ((4*sqrt(28)/sqrt(4) - (sqrt(63)/(sqrt(18)/sqrt(2)) + sqrt(7))) + 0)**2.
28
Simplify sqrt(7) - (sqrt(21)/sqrt(3) + 2) - 3*(-1*sqrt(7))**2.
-23
Simplify 3*(2 + ((sqrt(11) - (-3 + sqrt(11))) + sqrt(11) - sqrt(11))).
15
Simplify -5 + sqrt(19) + sqrt(57)/sqrt(3) - (sqrt(114)*2)/sqrt(6).
-5
Simplify (sqrt(650) - sqrt(26))/sqrt(2)*6.
24*sqrt(13)
Simplify (sqrt(544) - sqrt(34))/sqrt(2) + sqrt(17) + (sqrt(34)/sqrt(2))**2 + 5 + 5.
4*sqrt(17) + 27
Simplify (1*sqrt(128))/(sqrt(48)/sqrt(300)).
20*sqrt(2)
Simplify (sqrt(42)/(sqrt(42)/sqrt(7))*5)**2.
175
Simplify 4 + sqrt(17)*-2 - (-1 + sqrt(17))*2.
-4*sqrt(17) + 6
Simplify (sqrt(432) - sqrt(432)*-2*-2 - sqrt(432) - sqrt(432))**2.
10800
Simplify ((sqrt(5) + (sqrt(500)/sqrt(10))/sqrt(10))*-1)**2.
20
Simplify (sqrt(80)/sqrt(4)*-1*-3)**2*4.
720
Simplify sqrt(52)/(2*sqrt(4)) + sqrt(117)/sqrt(225).
7*sqrt(13)/10
Simplify -1 + (sqrt(833) + 0 + sqrt(833) + -5)**2.
-140*sqrt(17) + 3356
Simplify (3 + ((-1 + sqrt(128))*4)**2)*-6.
-12402 + 1536*sqrt(2)
Simplify sqrt(68)/sqrt(4) + sqrt(17) + 0 + 1.
1 + 2*sqrt(17)
Simplify (sqrt(170)/(sqrt(250)*4))**2.
17/400
Simplify (-6*sqrt(99)*1)/(sqrt(9) - (-1*sqrt(90))/sqrt(10)) + 3.
-3*sqrt(11) + 3
Simplify (sqrt(1573) + 0)**2*-3.
-4719
Simplify 2*(sqrt(2) + sqrt(2)*1 + 1)**2 + -5.
8*sqrt(2) + 13
Simplify (3*sqrt(288) + -4 - (-1*sqrt(288) - sqrt(288))*2)**2.
-672*sqrt(2) + 14128
Simplify 2*((-1*sqrt(3300))/sqrt(3)*-5)**2.
55000
Simplify (5*sqrt(228)*-1 + sqrt(228) + sqrt(228))/(-3*sqrt(12)*3).
sqrt(19)/3
Simplify ((-6*sqrt(57)*1)/((sqrt(9) - (sqrt(9) + sqrt(81)))/sqrt(3)))**2.
76
Simplify (1 + 4 + sqrt(3))**2*4.
40*sqrt(3) + 112
Simplify (sqrt(13) - (sqrt(13) + (sqrt(52)/(sqrt(4)*-3) - sqrt(13))) - sqrt(13))**2 + sqrt(13) + (-3*sqrt(65)/sqrt(5))**2.
sqrt(13) + 1066/9
Simplify ((sqrt(3) - 6*sqrt(12)/sqrt(4))*1)**2.
75
Simplify 0 + (sqrt(2) + sqrt(2) + 2 + sqrt(2)*-2)**2.
| {
"pile_set_name": "DM Mathematics"
} |
k) = -13*k - 1. Let f(o) be the third derivative of o**5/60 - 273*o**2. Give f(n(m)).
169*m**2 + 26*m + 1
Let a(j) = 3*j**2. Let i(t) be the third derivative of t**5/60 + 5*t**3/6 + 59*t**2. Calculate i(a(c)).
9*c**4 + 5
Let w(h) = -5*h - 4. Let x(y) be the second derivative of y**3/3 + 95*y. Give x(w(p)).
-10*p - 8
Let u(f) be the first derivative of f**2/2 + 77. Let a(s) = -218*s**2. Give u(a(k)).
-218*k**2
Let v(u) = 0*u**2 + 15 - 5*u**2 - 29 + 14 + 2*u. Let z(y) = 14*y. Calculate v(z(d)).
-980*d**2 + 28*d
Let i(c) = 543*c. Let r(v) = 700*v**2. What is i(r(y))?
380100*y**2
Let c(o) = o**2 + 2*o - 9. Let y be c(5). Let q(m) = -18*m + 39*m - y*m. Let k(d) = 2*d**2. Give k(q(g)).
50*g**2
Let s(i) = -2*i**2. Let m(n) = -3*n - 10. Let k(r) = -r + 5. Let q(x) = 10*k(x) + 5*m(x). Give q(s(o)).
50*o**2
Let s(x) = -1. Let m(l) = 2. Let r(z) = z + 1. Let u(y) = -m(y) + 8*r(y). Let f(d) = 6*s(d) + u(d). Let n(v) = -2*v. Determine n(f(j)).
-16*j
Let t(v) = -11568*v. Let i(b) = 17*b**2. Determine t(i(a)).
-196656*a**2
Let z(g) = -3*g**2. Let m(j) = 62345*j**2 - 3*j + 2. Calculate m(z(a)).
561105*a**4 + 9*a**2 + 2
Suppose -n = -5*k + 12, -5*n = 2*k + 3 + 3. Let b(z) be the first derivative of 1/3*z**3 + 5 + 0*z**k + 0*z. Let t(s) = -16*s**2. Determine b(t(d)).
256*d**4
Let m(j) be the second derivative of -j**3/3 - j. Suppose x + 4 = a, 3*x - 6 = -4*a - 4. Let k(r) = -6*r**2 + r**a - 3*r**2 + 6*r**2. Calculate m(k(i)).
4*i**2
Let k(j) = 8*j. Let g(d) = -d**2 - 10*d - 4. Let w be g(-10). Let f be (-25 + 5)*27/w. Let h(p) = 1 + f*p - 134*p - 1. Determine h(k(z)).
8*z
Let n(i) be the third derivative of 19*i**4/12 + 54*i**2 - 1. Let q(c) = -4*c. Determine n(q(y)).
-152*y
Let v(d) be the third derivative of d**7/280 - d**5/20 + 3*d**2. Let a(g) be the third derivative of v(g). Let w(y) = -90750 + 90750 + 2*y. Determine w(a(o)).
36*o
Let b be (99/(-110) - (-2)/5)*0. Let o(j) be the third derivative of 0*j + b + 2*j**2 - 1/12*j**4 + 0*j**3. Let s(q) = q**2. Give s(o(f)).
4*f**2
Let z(w) be the second derivative of w**4/6 - 5*w + 42. Let r(l) be the first derivative of -12*l**2 - 2. Calculate z(r(q)).
1152*q**2
Let v(j) = 5*j**2. Let x(g) be the first derivative of 0*g**2 + 7*g + 1/2*g**3 - 4. Let d(m) be the first derivative of x(m). Give d(v(l)).
15*l**2
Let n(m) = 8*m. Let o(i) be the third derivative of 11*i**5/20 + 99*i**2. What is o(n(r))?
2112*r**2
Let z(v) be the third derivative of v**4/12 - 5*v**3/2 - 11*v**2 - 185*v. Let p(x) = 10*x. Let t(b) = 3*b. Let u(h) = 4*p(h) - 14*t(h). Calculate z(u(n)).
-4*n - 15
Let n(q) = -10*q - 1. Let c = 158 + 244. Let j(t) = c - 402 + t. Calculate j(n(b)).
-10*b - 1
Let h(x) = -4*x**2 + 3*x**2 - 4*x**2. Let g(s) = s**2 + 160*s - 324*s + 164*s. Determine g(h(l)).
25*l**4
Let q(f) = -3*f**2. Let g(r) = 1785*r**2 - 70*r. Let p(t) = -149*t**2 + 6*t. Let v(h) = 3*g(h) + 35*p(h). Determine q(v(o)).
-58800*o**4
Let b(n) = -1414*n - 1. Let r(p) = -21*p**2 + 2. What is b(r(m))?
29694*m**2 - 2829
Let a(s) = -1 - 28*s + 4 - 3. Let y(l) = 2*l**2. What is y(a(i))?
1568*i**2
Let w(q) = 20*q - 40*q + 19*q. Let v(z) = 888*z. Give v(w(b)).
-888*b
Let h(s) = -2 + 56*s - 58*s + 2. Let c(y) = -2*y + 6. Let d(f) = f - 1. Let k(r) = c(r) + 6*d(r). Give k(h(g)).
-8*g
Let d(g) = -932*g. Let v(r) = -109*r. Determine v(d(n)).
101588*n
Let k(g) = -5*g. Let n(f) be the third derivative of -f**4/24 - 2*f**3/3 + 42*f**2. What is n(k(o))?
5*o - 4
Let r(l) = 8*l. Let x(u) = 70*u. Let g = -47 + 53. Let q(f) = g*x(f) - 52*r(f). Let t(w) be the third derivative of -w**5/60 + w**2. What is t(q(p))?
-16*p**2
Let t(f) = -2*f. Let l(c) = -c**2 + 2*c + 13568. Give l(t(s)).
-4*s**2 - 4*s + 13568
Let g(z) be the third derivative of 0 - 1/12*z**4 + 4*z**2 + 0*z + 0*z**3. Let v(u) = 22*u**2. What is v(g(f))?
88*f**2
Let a(x) = 2*x. Let m be (7 - 2)/(3 + 2*-1). Let j(v) = -7*v + m - 4 - 1. Determine a(j(h)).
-14*h
Let u(m) = -18*m**2. Let f(s) = 245*s - 245*s - 7*s**2. Calculate f(u(g)).
-2268*g**4
Let a(r) = -8*r. Let i(p) = -934*p. Determine i(a(c)).
7472*c
Let c(v) = 10*v + 9. Let d(q) = q. Let x(m) = -c(m) - 3*d(m). Let j(l) = -2*l - 3*l + 2*l - 2. Let y(h) = 18*j(h) - 4*x(h). Let a(k) = 3*k**2. Give a(y(n)).
12*n**2
Suppose 0*n = 7*n - 154. Let c(x) = -18*x**2 - 15*x**2 + 52*x**2 - n*x**2. Let i(k) = 25*k**2. What is c(i(w))?
-1875*w**4
Let p(n) = -1341*n. Let s(k) = 9*k - 5. Let a(g) = 4*g - 2. Let d(u) = -5*a(u) + 2*s(u). Calculate d(p(v)).
2682*v
Let v(r) be the second derivative of 0*r**2 - 1/4*r**4 + 0*r**3 - 8*r + 0. Let p(n) = -11 - 14 + 25 - 2*n. Determine v(p(x)).
-12*x**2
Let u(x) = -14*x**2. Suppose -14*q = -0*q - 56. Let r(z) = -z + 0*z - q*z + 2*z. What is u(r(m))?
-126*m**2
Let n(w) = -18*w**2. Let j(y) be the third derivative of -49*y**4/24 + 870*y**2. What is n(j(z))?
-43218*z**2
Let s(p) = 30*p - 34*p - 11*p - 11*p. Let u(j) = -2*j**2. What is u(s(w))?
-1352*w**2
Let k(n) = 24*n - 2. Let v(a) = -107*a + 9. Let s(x) = -9*k(x) - 2*v(x). Let b(r) = -r**2 - 356*r. Give b(s(j)).
-4*j**2 + 712*j
Let w(m) = 3*m**2 + 5*m + 10. Let i(t) = 2*t**2 + 3*t + 6. Let b(l) = -5*i(l) + 3*w(l). Let x(f) = -109*f**2. Give x(b(q)).
-109*q**4
Let b(k) = 5*k**2 + 12*k**2 - 4*k**2. Let g(p) = -4*p**2 + 45*p - 18. Let c(u) = u**2 - 10*u + 4. Let x(w) = -9*c(w) - 2*g(w). Calculate x(b(o)).
-169*o**4
Let z(l) = -3*l**2. Let u(s) = 18 - 12 - 7 + 0*s**2 + 4*s**2. What is z(u(r))?
-48*r**4 + 24*r**2 - 3
Let x(i) = i. Let u(s) = -4*s**2 + 4. Let t be (10 - 7)*2/(-3). Let q(o) = -2. Let j(g) = t*u(g) - 4*q(g). What is j(x(f))?
8*f**2
Let d(o) = 2554016*o. Let y(r) = -r. Give d(y(b)).
-2554016*b
Let b(f) = 2*f**2. Let g(o) = -2*o - 30. Let i(k) = k + 15. Let u be (7 - 10) + (0 - 2). Let d(j) = u*i(j) - 3*g(j). Determine b(d(y)).
2*y**2 + 60*y + 450
Let k(j) be the third derivative of j**5/60 + 2*j**2 - 15*j. Let f(d) = -343*d**2. Give k(f(x)).
117649*x**4
Suppose 4*q + 2 - 10 = 0. Let l(h) = 1 - 1 + 15*h**q - h**2. Let a(y) be the second derivative of -y**3/3 + y. Determine a(l(i)).
-28*i**2
Let y(u) = -82*u**2. Let x(a) = -84*a + 39*a + 43*a. Determine x(y(f)).
164*f**2
Let s(n) = -n + 1. Let v(t) be the third derivative of -t**4/6 + t**3/3 + t**2. Let d(i) = -2*s(i) + v(i). Let g(c) = -26*c. Calculate d(g(j)).
52*j
Let b(q) be the first derivative of q**5/6 - q**4/12 - 26*q**3/3 + 17. Let d(x) be the third derivative of b(x). Let z(i) = -2*i**2. Determine z(d(p)).
-800*p**2 + 160*p - 8
Let w(a) = -a. Let j(g) = -227683*g. Give w(j(t)).
227683*t
Let l(m) = 6*m. Let q(u) = -8891*u**2 + 2*u. Calculate q(l(a)).
-320076*a**2 + 12*a
Let m(s) = -3*s**2. Let x(l) = 3*l**2 + 1. Let w(f) be the first derivative of -5 + 1/3*f**3 + f + 0*f**2. Let b(o) = -2*w(o) + 2*x(o). What is m(b(v))?
-48*v**4
Let o = -4 + 6. Let q(s) = -o + 2 - s. Let r(y) = 6 - 2 + 0 - 4 + 8*y**2. Calculate r(q(h)).
8*h**2
Let x(s) = s - 1. Let u(l) = 3*l - 2. Let p(r) = -3*u(r) + 6*x(r). Let z be 4 + 1 - (4 + -6). Let q(o) = 3*o + 3*o - o - z*o. Give q(p(b)).
6*b
Let p(u) = -6*u + 1. Let v(l) = 346*l + 3. Let k(x) = 4*p(x) - v(x). Let o(y) = 2*y. What is o(k(f))?
-740*f + 2
Let h(j) = 9*j - 46. Let x be h(5). Let c(v) = v - 1. Let i(f) = 0 - 3 + 2 + 2*f. Let t(o) = x*c(o) + i(o). Let n(m) = -11*m. Give t(n(l)).
-11*l
Let l(c) = 259 - 259 + 2*c. Let r(q) be the first derivative of 2*q**3/3 - 14. What is l(r(b))?
4*b**2
Let g(j) = 3991*j. Let r(k) = k + 43. Give r(g(b)).
3991*b + 43
Let v(b) = 17*b**2. Let m(r) = -582*r + 598*r + 0 + 0. Calculate m(v(p)).
272*p**2
Let d(k) be the second derivative of -k**4/2 + 405*k. Let z(w) = 107*w**2. What is z(d(i))?
3852*i**4
Let o(f) = -13*f. Let g be 18*(5 + 53)*2/6. Let z(j) = 4*j + 348 - g. What is o(z(q))?
-52*q
Let q(j) = -7*j**2. Let s(f) = 84*f. Let w(i) = -5*i. Let u(x) = -2*s(x) - 33*w(x). Give u(q(k)).
21*k**2
Let w be 0 + 4/28 + (-4)/28. Let j(p) be the third derivative of -7*p**2 - 3/10*p**5 + 0 + 0*p**4 + 0*p**3 + w*p. Let z(r) = -r. Determine z(j(c)).
18*c**2
Let s(p) = 25*p**2 + 4. Let f(a) = -651*a**2 - 105. Let q(m) = -4*f(m) - 105*s(m). Let z(b) = b. Let l(g) = 5*g. Let j(i) = -l(i) + 3*z(i). Give q(j(w)).
-84*w**2
Let p(k) = 0*k - 5*k + 3*k - 4*k. Let s be 24/18*6/4. Let n(o) = o + 0*o + 4*o - s*o. Determine n(p(v)).
-18*v
Let c(k) = -45*k**2. Let | {
"pile_set_name": "DM Mathematics"
} |
(396)) + -1)**2 - (-2*sqrt(11) + -1 + 3).
-46*sqrt(11) + 6335
Simplify (5 + sqrt(1573) + (sqrt(1573) - ((-1 + sqrt(1573))*3 + sqrt(1573))) + 0)**2.
-352*sqrt(13) + 6356
Simplify (sqrt(567)*-2 + -2 - (4*(sqrt(567) - (-2*sqrt(567) + sqrt(567))) + sqrt(567)))**2*1.
396*sqrt(7) + 68611
Simplify ((5*((-3 + sqrt(162) + sqrt(162) + sqrt(162))**2 - sqrt(162)) - sqrt(162)) + sqrt(162))*4*-1.
-29340 + 3420*sqrt(2)
Simplify (-6*(sqrt(448) - (sqrt(448)*4 - sqrt(448))))**2 - (5 + (-2*sqrt(448))**2).
62715
Simplify 5*((sqrt(117) + 2 - sqrt(117)) + -5 + 4*(-1 + sqrt(117)) + -4)**2.
-1320*sqrt(13) + 9965
Simplify ((-3 + sqrt(1872))**2 + -4 - -2*(sqrt(1872)*-2 - sqrt(1872))**2) + 1.
-72*sqrt(13) + 35574
Simplify 3 + sqrt(891)*-1 - ((sqrt(396) + 2 - sqrt(396))**2 + 3).
-9*sqrt(11) - 4
Simplify -6*5*(-2 + (sqrt(320) + 3)**2 + -5).
-9660 - 1440*sqrt(5)
Simplify 3 + ((sqrt(1872) + -1)**2 - 2*(sqrt(117))**2 - (sqrt(468) + 0 + 4)**2).
-72*sqrt(13) + 1158
Simplify (5 + 1 + ((sqrt(567) - (1*sqrt(567) + sqrt(567)) - sqrt(567)) + sqrt(567) + sqrt(567) + sqrt(567))/sqrt(9))**2 + -4.
95 + 36*sqrt(7)
Simplify (4*(sqrt(64) + (sqrt(64) - (sqrt(64) - (sqrt(64) + sqrt(64)*-2))*-6)))/((sqrt(336)/(1*sqrt(7)))/sqrt(6)).
112*sqrt(2)
Simplify ((sqrt(700) + 0 + -3 + sqrt(700) + 1 + (sqrt(700) - (-2 + sqrt(700))))*2)**2.
11200
Simplify 3*(((-1*sqrt(15)*-2)/sqrt(3) - (-5 + sqrt(320))) + -4).
-18*sqrt(5) + 3
Simplify sqrt(363) + 4 + 3*sqrt(363) + (sqrt(363) - (sqrt(363) - (1 + (sqrt(363) - -5*sqrt(363)))))**2.
176*sqrt(3) + 13073
Simplify 1*(-1*(sqrt(117) + 3*sqrt(117) - sqrt(117)) - ((sqrt(117) - (1 + sqrt(117) + sqrt(117))**2) + -5)) + 5.
479
Simplify ((-3 + sqrt(18) - sqrt(2)) + 0 + sqrt(32))**2 + -3 + sqrt(72) + (sqrt(72) + 0 - sqrt(72))**2 + -5 + (sqrt(72) + -1 + sqrt(72))**2 + -4.
-54*sqrt(2) + 358
Simplify (sqrt(304) + 6*1*sqrt(304) + -2)*-2.
-56*sqrt(19) + 4
Simplify -2 + (5 + -5 + 4 + -1 + sqrt(720) + sqrt(720) + sqrt(720))**2 + 4.
216*sqrt(5) + 6491
Simplify 0 + (sqrt(45)/(sqrt(45)/sqrt(5)) + sqrt(5) + -3 - (3*sqrt(605) + -4))**2.
-62*sqrt(5) + 4806
Simplify (-1*(-2 + sqrt(5)*-4 - (sqrt(500) + -4)))**2.
-56*sqrt(5) + 984
Simplify (6*sqrt(32)/sqrt(8))/(sqrt(8)/(-5*sqrt(4))).
-30*sqrt(2)
Simplify (4*(sqrt(2100)*1 - sqrt(2100)))/(1*sqrt(7)*-5 + sqrt(7) - sqrt(7) - sqrt(84)/(sqrt(48)/sqrt(4) + sqrt(12))).
0
Simplify (sqrt(468) - 1*sqrt(468))/(sqrt(40)/(sqrt(40)/sqrt(4) + sqrt(10))).
0
Simplify ((sqrt(408)*-1*6)/sqrt(8))/((sqrt(300) - (sqrt(300)*3 + sqrt(300)))*5).
sqrt(17)/25
Simplify (-3*(sqrt(704) - -3*(1 + sqrt(704))) + 5*(sqrt(704)*-2*-4 - sqrt(704)))**2.
-3312*sqrt(11) + 372497
Simplify (1*(-5 + 6*(sqrt(300)*1 + 1)))**2.
120*sqrt(3) + 10801
Simplify -2 + ((sqrt(2299) + 2 + -4)**2 - ((sqrt(684) - sqrt(684)*1) + sqrt(684) + sqrt(684) + -5)**2).
-460 + 76*sqrt(19)
Simplify (-1*((sqrt(65)*-1*-2 - sqrt(65)) + sqrt(65)))/(sqrt(45)*-2*4).
sqrt(13)/12
Simplify 5 + -3*(2*sqrt(475)*-4 - 2*(-1 + sqrt(475) - sqrt(475)))**2.
-91207 + 480*sqrt(19)
Simplify (4 + (sqrt(1216) - 2*sqrt(1216)))**2 + -1*(1*sqrt(76) + sqrt(19))**2.
-64*sqrt(19) + 1061
Simplify ((sqrt(8) - sqrt(24)/(sqrt(9)/sqrt(3)))*-2)**2 + ((4*sqrt(16))/(sqrt(4)/sqrt(2)*-6))**2.
32/9
Simplify -3 + -1 + 2*sqrt(931) + 4*((sqrt(1216) + 1)**2 + 2).
78*sqrt(19) + 4872
Simplify 1 + -5*1*(sqrt(180) + 0) + (3 + (sqrt(180) + 0 - sqrt(180)) - (-1*sqrt(180) + sqrt(180))*-5).
-30*sqrt(5) + 4
Simplify ((sqrt(264)*1)/sqrt(11) - (sqrt(24) + -1*sqrt(24)*3))/(6*6*(sqrt(192) + sqrt(12))).
sqrt(2)/60
Simplify -5*-6*(6*(sqrt(252) + 1) + sqrt(252) + 0)**2.
15120*sqrt(7) + 371520
Simplify (5*-1*sqrt(66) + sqrt(66) - (sqrt(66) - (sqrt(66) - 2*1*sqrt(66))))/(sqrt(24) - sqrt(96)/sqrt(4)*6).
3*sqrt(11)/5
Simplify ((4*(sqrt(224) - (sqrt(224) - 2*sqrt(224)) - sqrt(224)))/((3*((sqrt(14) - sqrt(686)) + sqrt(14)))/sqrt(2)))**2.
512/225
Simplify (-3 + 2 + (sqrt(117) - (sqrt(117) + 0)) - (3*(sqrt(117) - -2*sqrt(117)) - sqrt(117) - sqrt(117) - -1*2*sqrt(117)))**2 + -2.
54*sqrt(13) + 9476
Simplify (3*-3*sqrt(65)*-1)/(-4*-1*sqrt(45)).
3*sqrt(13)/4
Simplify -4*((sqrt(130) + (2*sqrt(130) - sqrt(130))*-2 + sqrt(130))/sqrt(10) - sqrt(143)/(2*sqrt(1100))).
sqrt(13)/5
Simplify (2 + -3*sqrt(833) + 5)**2 + -3.
-294*sqrt(17) + 7543
Simplify (-1 + (sqrt(2736)*-1*3)**2 + sqrt(2736) + sqrt(2736) + -4 + (sqrt(2736) - (sqrt(2736) - sqrt(2736)*-1)) + 1)*3.
36*sqrt(19) + 73860
Simplify ((((-5*(sqrt(130) + sqrt(130)*-1) - sqrt(130)) + sqrt(130))*6)/((sqrt(10) + sqrt(50)/sqrt(5) + sqrt(10))*-5*-5))**2.
0
Simplify (-2*(sqrt(252) + -1))**2 + (0 + sqrt(175) - sqrt(63)/(sqrt(27)/sqrt(3)))**2 + -4.
-48*sqrt(7) + 1120
Simplify 0 + ((sqrt(33)/sqrt(3) + sqrt(11))*-6)**2 + (1*sqrt(1100)*-3)**2.
11484
Simplify ((sqrt(130) + 2*sqrt(130)*3)*5)/(sqrt(60)/sqrt(96) - (sqrt(60)/sqrt(3))/sqrt(2)).
-140*sqrt(13)/3
Simplify 5 + ((-5*(sqrt(800)*2 + sqrt(800)))**2 - (sqrt(800)*-2 + -2)**2) + 0.
-160*sqrt(2) + 176801
Simplify sqrt(63)*3 + 3 - (sqrt(2268) - -2*sqrt(2268)).
-45*sqrt(7) + 3
Simplify (sqrt(104) + (sqrt(104)*4*-5 - sqrt(104)))/(sqrt(162) - -1*(3*sqrt(162) + sqrt(162))).
-8*sqrt(13)/9
Simplify sqrt(35)/(3*sqrt(63)) + -1 + sqrt(80) + 1 + sqrt(5) + 1.
1 + 46*sqrt(5)/9
Simplify (sqrt(176) + -3*(sqrt(176) + 4) + (0 + sqrt(176))*-1)**2.
288*sqrt(11) + 1728
Simplify 3*(sqrt(475)*1)**2 - ((sqrt(19)*-1)**2*-5 - (sqrt(228)/(sqrt(48) + sqrt(12) - sqrt(12)))**2).
6099/4
Simplify (-1*-3*sqrt(272) + -1)**2 - (1*sqrt(272) + 5 - (-1 + sqrt(272) + sqrt(272) + -1))**2.
32*sqrt(17) + 2128
Simplify ((sqrt(176) + sqrt(176)*-4*3)/sqrt(11))/(3*4*sqrt(32)/sqrt(4)).
-11*sqrt(2)/12
Simplify 6*(sqrt(5324) + sqrt(5324)*-2) - (-1 + sqrt(1331) + 1 + -5).
-143*sqrt(11) + 5
Simplify (((sqrt(475) - (2 + sqrt(475))) + 3)*-1 - -1*(-4 + 2*sqrt(475)))**2.
-100*sqrt(19) + 1925
Simplify ((sqrt(625) + 1*sqrt(625) + sqrt(625))*-4)/(sqrt(25)/(sqrt(5) + -2*sqrt(5))*5).
12*sqrt(5)
Simplify (4*sqrt(500)*2*1*-5 + 0)**2.
800000
Simplify 0 + (6*3*(-4*sqrt(891) + sqrt(891)))**2.
2598156
Simplify ((sqrt(18)/sqrt(3))/sqrt(3) + sqrt(2) + sqrt(2) - (sqrt(24) + (sqrt(24) - -1*sqrt(24)))/sqrt(12))*-3*2.
0
Simplify (-2*-1*sqrt(931)*4 + 3)*-1.
-56*sqrt(19) - 3
Simplify 0 + -3*-5*-1*sqrt(2)*-5.
75*sqrt(2)
Simplify 3 + ((-4 + -1*sqrt(11))**2 - (-3 + sqrt(77)/sqrt(7))**2)*6.
45 + 84*sqrt(11)
Simplify (0 + -4 + (sqrt(448) + ((-4 + -1 + sqrt(448))**2 - sqrt(448) - sqrt(448)) - (sqrt(448) + (sqrt(448)*-1)**2 + 4)))*2.
-192*sqrt(7) + 34
Simplify 2*((0 + sqrt(363))*3)**2 + ((sqrt(432) + 0)*-5 - -1*sqrt(432)*1).
-48*sqrt(3) + 6534
Simplify ((1*sqrt(162))/sqrt(9))/((sqrt(108) - (sqrt(108) + (sqrt(108)*1 + sqrt(108) - sqrt(108))))/sqrt(12)) - ((sqrt(1280) - -2*sqrt(1280))/sqrt(10) + -5).
-25*sqrt(2) + 5
Simplify (1*(-5 + 5 + sqrt(7)*-1 + sqrt(7) + (sqrt(28) + 3 - sqrt(7))))**2.
6*sqrt(7) + 16
Simplify (sqrt(5445) + sqrt(5445)*-3)/sqrt(9) + sqrt(35)/(sqrt(7) + sqrt(112))*-4.
-114*sqrt(5)/5
Simplify (5*((1*sqrt(275) + sqrt(275))*3 - (sqrt(275) + 0 + sqrt(275) + 3) - (-3 + sqrt(275)*2 + (1 + sqrt(275))*6)))**2.
6000*sqrt(11) + 110900
Simplify (((1*sqrt(171) - sqrt(171))/sqrt(9) - -4*sqrt(19)*-2) + sqrt(228)/(sqrt(12)*-2*-6))**2.
171475/144
Simplify (sqrt(5103)*-1 + (sqrt(567) - sqrt(567)*-2 - sqrt(567) - sqrt(567)))/(((sqrt(81) - sqrt(81)*-2)*-3)/sqrt(9)).
2*sqrt(7)/3
Simplify (2 + 1 + sqrt(567) - (-2 + ((sqrt(567) + -1*sqrt(567))**2 - sqrt(567)) - sqrt(567))) + -1.
4 + 27*sqrt(7)
Simplify ((sqrt(931) - (-3 + sqrt(931))*2)*-4)**2*-3.
-46416 + 4032*sqrt(19)
Simplify ((2*(sqrt(99) - (2*sqrt(99) - sqrt(99))) - sqrt(99))*-2)/((sqrt(1089) - -2*sqrt(1089)*-4) + sqrt(1089)).
-sqrt(11)/33
Simplify (((sqrt(88) - (sqrt(88) + -2*sqrt(88) - sqrt(88))) + sqrt(88) + sqrt(88) + sqrt(88))*4 + -3*sqrt(88)*2)/((sqrt(800) - -1*sqrt(800))*6).
3*sqrt(11)/20
Simplify ((-1*(sqrt(30) + -1*sqrt(1920)))/(-2*(sqrt(1210) + (sqrt(1210) - (-2*sqrt(1210) - sqrt(1210))))))**2.
147/12100
Simplify ((sqrt(54) + sqrt(54) + sqrt(7776)*-1)/sqrt(6))/(sqrt(432) - ((sqrt(432) + 2*sqrt(432))*6 + sqrt(432))).
5*sqrt(3)/108
Simplify (sqrt(288)*-1 + sqrt(288) - sqrt(288))/(sqrt(99)/sqrt(176)).
-16*sqrt(2)
Simplify (sqrt(1008)*1 - 3*sqrt(175) - -3*(sqrt(14)/sqrt(2) + -3))**2.
81
Simplify -5 + sqrt(320)/sqrt(4)*-3*5.
-60*sqrt(5) - 5
Simplify (-1*(sqrt(1539) + 0 - sqrt(931)*-2) + 3 + -1)**2.
-92*sqrt( | {
"pile_set_name": "DM Mathematics"
} |
-2*w - 8 = -144. List the prime factors of w.
2, 17
Suppose -5*p + 3*q = -384, 1 = q - 1. List the prime factors of p.
2, 3, 13
Let d(j) = j**3 + 3*j**2. Let o be d(-3). Suppose o = -h + 2*h - 2*n - 11, -2*h - 14 = 5*n. Suppose -36 = -0*s - h*s. List the prime factors of s.
2, 3
Let w(c) = -c**2 - 9*c + 13. What are the prime factors of w(-8)?
3, 7
Let q = -28 + 34. What are the prime factors of q?
2, 3
Suppose 5 - 125 = -3*r. Suppose -r = -g - 4*g. What are the prime factors of g?
2
List the prime factors of -7*(3 + -6) + 1.
2, 11
Let q be (2 - (1 - 0))*5. Suppose 0 = q*r - 3*f - 6, -2*r - 3*f = f - 18. Suppose 0 = 3*i - r*j - 0*j - 27, 5*i - 57 = j. List the prime factors of i.
2, 3
Suppose 139 = 3*j - 56. List the prime factors of j.
5, 13
Let s = 205 - 136. Let b = -14 + s. List the prime factors of b.
5, 11
Suppose 2*a - q = 242, q = 2*a + a - 362. Suppose v + 4*p = p + 44, 3*v = 3*p + a. Let i = v - 29. What are the prime factors of i?
2, 3
Let a(q) = q**3 + q**2 + 6. Let d(l) = -l - 1. Let z(n) = -2*n - 2. Let m(y) = -3*d(y) + 2*z(y). Let j be m(-1). List the prime factors of a(j).
2, 3
Let w(l) = -4*l + 5. List the prime factors of w(-13).
3, 19
Suppose -2*h + 546 = -4*n, -5*n = 3*h - 6*n - 829. List the prime factors of h.
277
Suppose 63 = 4*c - 9. List the prime factors of c.
2, 3
Let m = 234 - 121. What are the prime factors of m?
113
Let g(v) = 0 + 1 + 2*v + 4 - 2. Let j be g(12). Suppose j = -d + 4*d. What are the prime factors of d?
3
Suppose 1 = n - 3. Suppose 0 = -6*t - 12. Let a = t + n. List the prime factors of a.
2
Let c = -2 - 2. Let s(g) = -g**2 - 6*g - 2. What are the prime factors of s(c)?
2, 3
Suppose 4*x - 2*c - 112 = 0, -x = -c - 8 - 18. What are the prime factors of x?
2, 3, 5
Let j = -4 - -3. Let u be (j + 1 + 0)/3. Suppose 0 = 5*s + 3*z - 96, -2*s - 3*z + 42 = -u*s. List the prime factors of s.
2, 3
Let d(p) = -4*p**3 + 2*p**2 + 3*p - 1. What are the prime factors of d(-3)?
2, 29
What are the prime factors of (-568)/(-28) + (-4)/14?
2, 5
Let l(h) = -h**2 - 4*h - 2. Let v be l(-2). Suppose 0 = 2*i - 2, 4*x - 37 = -v*i - 3*i. List the prime factors of x.
2
Suppose 45 = -4*z - h, h = -z - 3*h - 15. Let w(k) = k**3 + 11*k**2 - 2*k - 13. What are the prime factors of w(z)?
3
Suppose 2*k - 4 = 2. Let r(p) = 2*p**2 + p - 1. List the prime factors of r(k).
2, 5
Suppose 6*c - 2*h - 7 = 3*c, h = -c + 9. Suppose -c*u + 22 = -4*u. Suppose y - 4*y + 3*s = -39, -2*y + s = -u. List the prime factors of y.
3
Suppose -4*k = k + 2*c - 141, 93 = 3*k - 3*c. What are the prime factors of k?
29
Let j = -9 + 3. Let b = 6 - j. List the prime factors of b.
2, 3
Suppose -8*m + 12*m - 200 = 0. List the prime factors of m.
2, 5
Let c(k) be the second derivative of -k**3/3 + 3*k**2/2 + k. Suppose -6*o = -2*o + 20. What are the prime factors of c(o)?
13
Let o(r) = r - 5. Let y be o(5). What are the prime factors of (0 - 4)/(y + -1)?
2
Let g(z) be the third derivative of -13*z**4/24 - 7*z**3/6 + 2*z**2. Let d(c) = -7*c - 4. Let x(s) = -11*d(s) + 6*g(s). What are the prime factors of x(-6)?
2
Let i = 27 - 25. Suppose -10 = -2*j + 2*r + 2*r, -4*j = 3*r - 9. Suppose j = -g + i*g. What are the prime factors of g?
3
Suppose 0 = 4*w - 160 - 96. Let y = -44 + w. List the prime factors of y.
2, 5
Let x(l) = 7*l**2. Let c be x(-1). Suppose -c*p + 3*p = -116. What are the prime factors of p?
29
Let o(s) = -s**2 + 2*s + 6. Let g be o(6). Let a = 33 + g. List the prime factors of a.
3, 5
Let q(p) = p**3 - 9*p**2 + 3*p - 4. Let w be q(9). Suppose -5*m + 72 = -w. List the prime factors of m.
19
Suppose -4*h + 129 = 5. Suppose 2*r - 3*r + h = 5*b, 3*b = 15. Let i = 1 + r. List the prime factors of i.
7
Let v be (-15)/(-20) - 23/4. Let j = 0 - v. What are the prime factors of j?
5
Suppose 0*y + 5*y - 35 = -5*i, 5 = y. Suppose -39 = -u - i*u - 2*p, -2*p + 6 = 0. What are the prime factors of u?
11
Let x(r) = -r**3 - 10*r**2 - 8*r + 9. Suppose -24 - 12 = 4*v. Let g be x(v). What are the prime factors of 7/(2/2) + g?
7
Suppose 34 = -0*k + k. Suppose 0 = 2*j - 0*j - k. What are the prime factors of j?
17
Let t be (-1)/(-2 - 14/(-6)). List the prime factors of t/1 + (-3 - -8).
2
Let m(w) = w**2 - 8*w + 6. Let n be m(6). Let r(g) = g**2 + 6*g + 7. What are the prime factors of r(n)?
7
List the prime factors of (4/(-5))/((-12)/30).
2
Suppose 0*u + u = 4*h - 7, -2 = -2*u + 4*h. Suppose -72 = 5*j - u*j. List the prime factors of j.
2, 3
List the prime factors of 2/5 - (-2496)/60.
2, 3, 7
Let r = -2 + 1. Let u(a) = a**2 - 7*a + 1. Let c be u(7). Let o = c - r. What are the prime factors of o?
2
Let z be (-2)/1*(-3)/(-2). Let v be ((-2)/z)/(1/(-72)). What are the prime factors of v/(-4) + 0 + 0?
2, 3
Let b = -13 + 15. List the prime factors of b.
2
What are the prime factors of -12*7/(-42) - 317*-1?
11, 29
Let p(h) = 5*h - 2 + 2*h**2 - 3*h**2 + 0*h**2. Let g be p(3). Suppose -4*o + g = 0, 2*o + o = -w + 14. What are the prime factors of w?
11
Let n(p) = -3*p. Let x(b) = -3*b + 1. Let y(a) = -3*n(a) + 4*x(a). Let v be y(-3). Let w = v - 1. What are the prime factors of w?
2, 3
Let x = -21 - -43. Suppose 2*o - 3 = u - 2*u, -5*u - 3*o + x = 0. What are the prime factors of u?
5
Let d(r) = -r**2 + 10*r - 8. Let v be -1 + 9 - (2 + -2). Let c be d(v). Let t = c + -1. List the prime factors of t.
7
Suppose 9*x - 7*x - 366 = 0. List the prime factors of x.
3, 61
Suppose 0 = 3*n + 3*w + 6, 3*n - 2*w = -3*w + 2. Let t = 8 + n. Suppose t = 2*r, 0 = d + 2*d + 5*r - 73. List the prime factors of d.
2
What are the prime factors of (7/(-14))/(1/(-6))?
3
Let w be 4/(-14) - 2108/(-28). Suppose 8*s - w = 3*s. What are the prime factors of s?
3, 5
Let o be (-193 - 2)*(-2)/5. Suppose -3*y + o = 3*w, y = 5*w - 0 - 4. List the prime factors of y.
3, 7
Let i = 1 + 2. Suppose 2*a - 4*y = 34, i*y = 2*a - 18 - 12. List the prime factors of a.
3
Let g(x) = -16*x. List the prime factors of g(-2).
2
Let c(z) = -z**3 - 6*z**2 - 8*z - 6. Let q be c(-5). Let n be -5 + -1 + 0/6. Let l = n + q. What are the prime factors of l?
3
Suppose 0 = 5*y - 5*m - 420, 3*y - 5*m - 49 = 209. List the prime factors of y.
3
Let m(z) = 5*z + 4 + z**3 - 7*z**2 + 3 + 0. Let s be m(6). Suppose 8 - s = f. What are the prime factors of f?
7
Let p(g) = g**2 + 17*g - 49. What are the prime factors of p(-21)?
5, 7
What are the prime factors of 46*(9 + -1 + 0)?
2, 23
Suppose 3*d + 30 = 8*d. Suppose d*p - 9 = 3*p. List the prime factors of p.
3
Suppose 0 = 2*c - 5*q - 171, c + 2*q = -2*q + 53. What are the prime factors of c?
73
Suppose 1 = n - 1. Suppose 5*g - n*q = -q + 22, 2*g = -q + 13. List the prime factors of g.
5
Let j(t) = -t**3 - 22*t**2 - 4*t - 3. List the prime factors of j(-22).
5, 17
Let j(h) = -h**3 - 5*h**2 - 3*h + 5. Let u be j(-4). List the prime factors of (7 - (u + -4)) + 0.
2, 5
List the prime factors of (-336)/(-30) - (-2)/(-10).
11
Suppose 3*o - 3 = 0, -5*m = -m - 4*o - 20. Let q(z) = -z**2 + 8*z - 8. Let c be q(m). Suppose c*y - 85 = -y. What are the prime factors of y?
17
Let c be 0 - 7/(2 - 1). Let q(a) = -11*a**2 - 13*a + 38. Let l(k) = -7*k**2 - 9*k + 25. Let d(z) = 8*l(z) - 5*q(z). List the prime factors of d(c).
2, 5
Suppose -3*s + x + 119 = 0, 3*s = -0*s - 5*x + 107. List the prime factors of s.
3, 13
Suppose -590 = 4*j - 9*j. What are the prime factors of j?
2, 59
Let u(n) = 2*n**2. Let g be 6 - (-2 + 2) - 1. Suppose 3*w = -4*i + 8, -g*i + 4*w = -0*i - 10. What are the prime factors of u(i)?
2
List the prime factors of 1*(-7)/(-2)*12.
2, 3, 7
Let g = -57 - 0. Let i = -40 - g. Suppose 3*n - 3*o = o + 53, 2*n = -o + i. What are the prime factors of n?
11
Suppose 0 = -5*v - 5*j + 54 - 9, 2*v - 19 = -j. List the prime factors of (-20)/8*(-8)/v.
2
Let m(u) be the first derivative of 1 - 1/3*u**3 + 7/2*u**2 - 5*u. What are the prime factors of m(4)?
7
Suppose -4 = 4*x, 5*j - x - 303 = 2*x. Suppose 4*o - j = -o. What are the prime factors of o?
2, 3
Suppose j + 2*j - 37 = -m, -5*j + m + 51 = 0. Suppose 121 = 5*v + j. List the prime factors of (3 - v)*2/(-2).
19
Let i(q) = 5*q**2 - 1. Let p be i(-1). Let m be (-164)/(-16) - 1/p. Suppose m = y - 10. List the prime factors of y.
2, 5
Let b(a) = a**3 + 6*a**2 - a - 6. Let w be b(-6). Suppose w*i - 17 = -i. List the prime factors of i.
17
Let g(s) = -3*s | {
"pile_set_name": "DM Mathematics"
} |
What is the remainder when 302 is divided by 268?
34
Calculate the remainder when 296 is divided by 180.
116
Calculate the remainder when 261 is divided by 76.
33
Calculate the remainder when 766 is divided by 75.
16
Calculate the remainder when 37 is divided by 5.
2
Calculate the remainder when 146 is divided by 77.
69
Calculate the remainder when 323 is divided by 104.
11
What is the remainder when 134 is divided by 25?
9
Calculate the remainder when 245 is divided by 14.
7
What is the remainder when 3426 is divided by 263?
7
Calculate the remainder when 362 is divided by 31.
21
Calculate the remainder when 205 is divided by 13.
10
Calculate the remainder when 1647 is divided by 16.
15
Calculate the remainder when 16081 is divided by 34.
33
Calculate the remainder when 92 is divided by 48.
44
Calculate the remainder when 1144 is divided by 40.
24
What is the remainder when 758 is divided by 76?
74
What is the remainder when 193 is divided by 14?
11
Calculate the remainder when 293 is divided by 254.
39
What is the remainder when 502 is divided by 46?
42
What is the remainder when 408 is divided by 99?
12
What is the remainder when 2231 is divided by 9?
8
Calculate the remainder when 542 is divided by 50.
42
Calculate the remainder when 3653 is divided by 62.
57
Calculate the remainder when 1494 is divided by 19.
12
What is the remainder when 1073 is divided by 19?
9
Calculate the remainder when 427 is divided by 108.
103
Calculate the remainder when 237 is divided by 118.
1
Calculate the remainder when 525 is divided by 47.
8
Calculate the remainder when 3329 is divided by 5.
4
What is the remainder when 968 is divided by 320?
8
What is the remainder when 561 is divided by 135?
21
What is the remainder when 2583 is divided by 19?
18
Calculate the remainder when 50 is divided by 6.
2
Calculate the remainder when 1310 is divided by 10.
0
What is the remainder when 35 is divided by 7?
0
What is the remainder when 930 is divided by 12?
6
What is the remainder when 69 is divided by 10?
9
What is the remainder when 258 is divided by 2?
0
Calculate the remainder when 962 is divided by 468.
26
What is the remainder when 445 is divided by 7?
4
What is the remainder when 48 is divided by 17?
14
Calculate the remainder when 282 is divided by 127.
28
Calculate the remainder when 470 is divided by 209.
52
What is the remainder when 198 is divided by 50?
48
Calculate the remainder when 1418 is divided by 19.
12
What is the remainder when 416 is divided by 134?
14
Calculate the remainder when 1427 is divided by 13.
10
Calculate the remainder when 305 is divided by 103.
99
What is the remainder when 246 is divided by 75?
21
Calculate the remainder when 207 is divided by 62.
21
What is the remainder when 28 is divided by 24?
4
Calculate the remainder when 1259 is divided by 28.
27
What is the remainder when 3463 is divided by 77?
75
Calculate the remainder when 1337 is divided by 149.
145
Calculate the remainder when 856 is divided by 13.
11
What is the remainder when 4 is divided by 4?
0
Calculate the remainder when 929 is divided by 31.
30
Calculate the remainder when 745 is divided by 86.
57
Calculate the remainder when 1705 is divided by 28.
25
What is the remainder when 593 is divided by 18?
17
Calculate the remainder when 5773 is divided by 444.
1
What is the remainder when 123 is divided by 61?
1
Calculate the remainder when 629 is divided by 45.
44
Calculate the remainder when 202 is divided by 19.
12
What is the remainder when 275 is divided by 25?
0
Calculate the remainder when 779 is divided by 176.
75
What is the remainder when 5231 is divided by 19?
6
Calculate the remainder when 657 is divided by 322.
13
Calculate the remainder when 188 is divided by 32.
28
What is the remainder when 1325 is divided by 83?
80
Calculate the remainder when 635 is divided by 13.
11
What is the remainder when 503 is divided by 232?
39
What is the remainder when 242 is divided by 126?
116
Calculate the remainder when 1435 is divided by 21.
7
What is the remainder when 1069 is divided by 63?
61
Calculate the remainder when 578 is divided by 51.
17
What is the remainder when 6901 is divided by 46?
1
Calculate the remainder when 36 is divided by 7.
1
What is the remainder when 704 is divided by 105?
74
Calculate the remainder when 1603 is divided by 11.
8
Calculate the remainder when 180 is divided by 52.
24
What is the remainder when 497 is divided by 103?
85
Calculate the remainder when 737 is divided by 24.
17
What is the remainder when 88 is divided by 87?
1
Calculate the remainder when 1812 is divided by 122.
104
Calculate the remainder when 53 is divided by 29.
24
What is the remainder when 180 is divided by 80?
20
What is the remainder when 193 is divided by 65?
63
Calculate the remainder when 324 is divided by 100.
24
What is the remainder when 54 is divided by 29?
25
What is the remainder when 402 is divided by 17?
11
Calculate the remainder when 997 is divided by 22.
7
Calculate the remainder when 323 is divided by 25.
23
What is the remainder when 232 is divided by 35?
22
What is the remainder when 1014 is divided by 203?
202
Calculate the remainder when 447 is divided by 77.
62
What is the remainder when 4338 is divided by 145?
133
What is the remainder when 940 is divided by 310?
10
Calculate the remainder when 894 is divided by 240.
174
What is the remainder when 89 is divided by 46?
43
What is the remainder when 973 is divided by 16?
13
Calculate the remainder when 2719 is divided by 136.
135
What is the remainder when 595 is divided by 246?
103
What is the remainder when 22 is divided by 7?
1
What is the remainder when 74 is divided by 23?
5
Calculate the remainder when 810 is divided by 11.
7
What is the remainder when 1784 is divided by 138?
128
Calculate the remainder when 528 is divided by 523.
5
What is the remainder when 311 is divided by 110?
91
What is the remainder when 12143 is divided by 132?
131
Calculate the remainder when 1344 is divided by 666.
12
What is the remainder when 469 is divided by 245?
224
Calculate the remainder when 2483 is divided by 8.
3
What is the remainder when 1090 is divided by 47?
9
Calculate the remainder when 564 is divided by 561.
3
What is the remainder when 95 is divided by 2?
1
What is the remainder when 30 is divided by 19?
11
What is the remainder when 1046 is divided by 104?
6
What is the remainder when 559 is divided by 33?
31
Calculate the remainder when 9150 is divided by 32.
30
Calculate the remainder when 708 is divided by 77.
15
What is the remainder when 75 is divided by 33?
9
Calculate the remainder when 72 is divided by 31.
10
What is the remainder when 383 is divided by 35?
33
What is the remainder when 1086 is divided by 185?
161
What is the remainder when 14 is divided by 5?
4
Calculate the remainder when 154 is divided by 37.
6
Calculate the remainder when 280 is divided by 27.
10
What is the remainder when 670 is divided by 223?
1
What is the remainder when 188 is divided by 26?
6
Calculate the remainder when 38 is divided by 13.
12
What is the remainder when 206 is divided by 9?
8
Calculate the remainder when 466 is divided by 3.
1
Calculate the remainder when 1360 is divided by 44.
40
Calculate the remainder when 8340 is divided by 32.
20
Calculate the remainder when 160 is divided by 62.
36
What is the remainder when 129 is divided by 40?
9
Calculate the remainder when 568 is divided by 16.
8
What is the remainder when 3680 is divided by 205?
195
Calculate the remainder when 2698 is divided by 18.
16
What is the remainder when 2272 is divided by 23?
18
Calculate the remainder when 128 is divided by 5.
3
Calculate the remainder when 5848 is divided by 65.
63
What is the remainder when 8213 is divided by 8?
5
Calculate the remainder when 56 is divided by 5.
1
Calculate the remainder when 25 is divided by 23.
2
What is the remainder when 111 is divided by 59?
52
What is the remainder when 1827 is divided by 15?
12
Calculate the remainder when 824 is divided by 207.
203
Calculate the remainder when 2410 is divided by 798.
16
Calculate the remainder when 1047 is divided by 4.
3
What is the remainder when 1344 is divided by 142?
66
What is the remainder when 9530 is divided by 3174?
8
What is | {
"pile_set_name": "DM Mathematics"
} |
e 12/2*(-5)/((-5280)/(-10736)).
-61
What is the value of -6*(-4 + (-98)/(-28))/((-1218)/28)?
-2/29
Calculate ((-17958)/(-2091))/(-146)*(3 - 1).
-2/17
4/(-3) - (52 + (-6160)/165)
-16
What is the value of 24/14664*-12805 - 2/47?
-21
What is the value of (-7008)/140 - (-2)/10 - ((-23068)/1022)/(-158)?
-50
Evaluate 1444/28 + (-14 - 576/(-168) - (-110)/10).
52
Evaluate -1 - (-34 + 99) - (-44 + -1).
-21
Calculate (-331)/(-110) + (-169680)/88880.
11/10
Calculate ((-215)/15)/(490/105 - 5).
43
272/187*(-15587)/(-218)
104
What is the value of -24 - 1545/(-65) - 81*18/(-9360)?
-3/40
What is 54 + (-24 + -76 - -83)?
37
What is the value of ((-2530)/(-170) + -15 - (-4)/1190*-2005) + 6?
-6/7
Evaluate (9 - 154/17) + 8/68.
1/17
What is (3/13 - (-25344)/(-12480))/(129/(-30) - -4)?
6
What is the value of (16/7)/2 - (9768086/18487)/857?
10/19
Calculate ((-825)/(-1375) + (-187)/17)/((-1)/(-5)).
-52
Calculate (510 - -18)/(-22)*6/(-104).
18/13
What is the value of (-19850)/(-17865)*783/(-15)?
-58
What is (-220)/165 - ((-215215)/(-129))/(-55)?
29
What is the value of -60*((-390)/(-40) + -10) - (6 - 36)?
45
Calculate (1/(-10) + (-48)/120)/(-45*23/(-6624)).
-16/5
((-2436)/(-14) - 172)*(-108)/(-2)
108
What is 12950/(-200)*(-120)/105?
74
Calculate (-50560)/(-4424)*(-112)/(-20).
64
(-1582)/44 - (26/((-18304)/16864) - -24)
-36
Calculate 34/((-3332)/(-42)) + (0 - (-687)/(-1701)).
2/81
Evaluate ((-14)/154*6435/(-52))/(1/(16/3)).
60
(992/(-64) - -22)/((4/(-10))/(1464/305))
-78
12/30 + (-676)/2240 + (-360)/1260
-3/16
(-382)/(-573)*(3 + -3 + -15)
-10
(-5)/(-3)*(-73 - -67)/18
-5/9
Calculate ((-19588)/1494)/(6/54).
-118
What is the value of (13/(-3))/(1018394/(-108468))?
6/13
((-2)/14)/(((-112)/1344)/((-4)/(-48)*27))
27/7
Evaluate (-15)/((-1035)/(-184))*(-8)/48.
4/9
Evaluate 10/8*((-1)/(-990)*-147 - 9/(-54)).
1/44
((-217)/((-371070)/6390))/((-2)/(-38))
71
Calculate 320*150/1920 - 34.
-9
What is -48 + 307/(24867/13608)?
120
((-8)/308)/((-1336)/7348)
1/7
What is (9174/(-209) - -14) + (60/(-95))/6?
-30
(-228 - -228)*(2/8)/(33/(-12)) + -16
-16
What is the value of -20 + 118 + -32 + -32?
34
Evaluate (6/8)/(252/(-96))*2.
-4/7
What is (-602)/(-13545)*9/2?
1/5
What is 2850/160 - 18 - 79016/(-896)?
88
Evaluate (-5)/(-10)*5/(-5)*(225 + 1).
-113
What is the value of 6/(-14) - (18570/9904)/(-1 + (-28)/8)?
-1/84
What is the value of (196/16 + -14)/(58/87)?
-21/8
Evaluate (-2262)/(-58) + 949/(-26).
5/2
What is the value of (18/8)/((-852)/(-3976))*1?
21/2
Evaluate (3032/(-2274))/((-12)/(-513)).
-57
(-1 + -1)*(-54 - 15080/(-208))
-37
What is (-161238)/2002 - 2430/(-30)?
6/13
What is 60*165/(-132)*(-11)/(385/(-14))?
-30
9/12*-12*16/(-1152)*(69 + -5)
8
Calculate (-14 + -1)*31/2418*52 - 104.
-114
Calculate 13 + 209/(-114)*(-6100)/(-825).
-5/9
(2/(-4))/((-52556)/(-11262))
-3/28
Evaluate 44240/(-244800) - 4/(-144) - (2 + 0)/10.
-6/17
((-36)/(-90))/((22/(-100))/(213/(-142)))
30/11
(-12)/((-72)/22) - 120/(-900)
19/5
What is (-2394)/(-836) + (27 - (-1062)/(-36))?
4/11
Evaluate -1*(-4314)/618 - (-636 - -643).
-2/103
What is the value of (15 - 3) + (1139/201)/(((-20)/(-75))/(-4))?
-73
Evaluate -130*(4/4)/((1 + -2)*5).
26
What is the value of 229/(-730) + (-26958)/(-89860)?
-1/73
Evaluate (-2)/(-21)*(-19446)/(-14) + 4296/2506.
134
What is the value of ((-7350)/(-13230))/(170/(-12))?
-2/51
What is the value of ((-14952)/(-258) - (6 + -3 - 7)) + 108/2322?
62
Evaluate (1 - 1/2)/(3618/936 - 4)*-7.
26
What is the value of -8*17/748 - (23408/(-121))/(-14)?
-14
(17 - (4 - 2330/(-180))) + (-330)/(-1836)
4/17
What is (-52)/(-1638)*-9 + 0 + (-12735)/(-105)?
121
Evaluate -76 + 77 - (-12)/91 - 2/(-13).
9/7
Evaluate -31*1 - ((-3284463)/(-1166))/(-91).
-1/22
What is the value of (1/18)/(10616/(-71658))?
-3/8
What is (-36)/(-126) + (-136)/(-14) - (-59040)/(-5658)?
-10/23
Calculate (-1956)/3260*260/8.
-39/2
Calculate 76/(-46360)*((-9)/1 - 1).
1/61
7 + (-4680)/126 + 11/77
-30
(0 + 4)*(-58)/348*35/10
-7/3
-74 - (-53 - 13 - -6)
-14
(-657)/126*6 - (2/42 + 31/(-93))
-31
Calculate (1295/(-308) - (-365)/803)*28.
-105
What is the value of 18/(-138) + 2178/(-6578)?
-6/13
What is (-273)/(-1155) - 89/890?
3/22
What is the value of (-74)/3*(8/(-13) + (-24180)/10140)?
74
(((-13)/3)/((-988)/304))/((-4)/150)
-50
Evaluate (0 - 5 - (-30438)/6141)/(1 - 2).
1/23
Calculate ((-82)/5)/((-417)/((-225180)/216)).
-41
What is the value of ((-833)/(-140) + 0 + -6)*14*-10 - 0?
7
Calculate (-9869)/(-426)*-6 + 106.
-33
What is (77/165 - 1)/(-9 - (-1098)/120)?
-32/9
What is -2*33/9867*13 + 1606/(-46)?
-35
What is (-2)/(-14)*10311/22095?
1/15
What is the value of ((6072/1210)/((364/154)/13))/(6/(-15))?
-69
Calculate ((-23)/4)/(61 + 24939/(-408)).
46
322/8*32844/(-172431)
-23/3
Calculate (-99 - 11471)/130 - -88.
-1
Calculate (-28)/(-98) + (-31)/35.
-3/5
Calculate (7*(-265)/371)/(1/(-2) - (-21)/70).
25
(0/3 - (12 - (-660)/(-45)))*(-72)/12
-16
What is the value of (-3 - (-574)/(-2322)*-13) + (-2 - 3016/(-1566))?
6/43
What is the value of 36*(-138)/552 + 16/(-72)*79/(-2)?
-2/9
(1 - 1) + ((-648)/(-270))/(-6) - 123/5
-25
Calculate (-182)/(-504) + 56/(-96).
-2/9
Calculate (-21)/87*1098/(-7686).
1/29
Evaluate ((-180)/(-245))/((-261)/1218).
-24/7
Calculate -5 - (48 + -31) - -57.
35
What is the value of 9837/38255 - ((-3)/10)/(15/(-10))?
2/35
14/(-15)*-15 + 20/225*-145
10/9
What is the value of ((-513)/(-1881)*6/3)/((-104)/(-22))?
3/26
Calculate 4899/(-69) - (-33236)/468.
2/117
Evaluate (-14*(-44)/2002)/(90/234).
4/5
Evaluate (-3*(-368)/(-10948))/((-3)/(-14)).
-8/17
Evaluate (-1881)/38*(-660)/(-726).
-45
What is the value of ((-27)/(-36))/((8844/(-6688))/67)?
-38
What is 3/(29/(58/(-30)) + 12)?
-1
Calculate (-6)/68*(19292/159)/91.
-2/17
(2/55 + 8172/(-114862))*(-1 - 4)
4/23
Calculate 2397/(-3757) + 4/(-408)*-18.
-6/13
Calculate (-13 - -33 - 19)/((-3913)/(-325) + -12).
25
What is the value of 0 - ((-17 + (-62550)/(-3680))*-8 + 0)?
-1/46
Calculate (-3022 - -2998) + 278/12.
-5/6
What is (-1472933)/(-50666) + 0 + 29/(-1)?
1/14
What is 5/70*(4 + -7) + (-18750)/700?
-27
What is 3627813/(-116725) + (-4)/(-50)?
-31
What is ((-34)/4 + 10)*-7*(-4)/1680?
1/40
What is (1 - 101) + 57792/1806?
-68
What is the value of (1 + (-82)/4)/((-396)/(-3) + -133)?
39/2
What is the value of (-98)/(11858/(-5973)) + -51?
-18/11
(76 - 78)/((-33320)/5525 - 1*-6)
65
What is the value of 32336/1880 - (-5)/((-10)/36)?
-4/5
Evaluate 2 + (-1787)/(-35) - ((-142240)/4900)/(-508).
53
What is the value of ((-61016)/(-522) - 56/63)/(2 - (-3 + 1))?
29
Evaluate (4/10)/((-324)/(-30) + -12)*201.
-67
(-175)/38*2 - ((-90774)/(-246))/(-41)
-4/19
What is the value of 79 + -63 - (7 + -9)?
18
What is (-6 - -8)*(((-5439)/(-24))/7 + (-969)/2584)?
64
Calculate ((-12)/39 - 0)/(3300/922350).
-86
Evaluate ((-1)/3)/(6/2044) - (-51588)/(-116073).
-114
What is 7/(-91)*(936/2028 + (-2879)/13)?
17
Calculate 270/(-81) + (0/(-10) - -7).
11/3
Evaluate -6 + 312/(-76) - 16/(-152).
-10
Evaluate 65/70 - (-276)/483.
3/2
(0 + (-1)/((-5)/4))/((-2736)/1080)
-6/19
Evaluate (9954/84 + -119)/((-97)/230 - (-4)/10).
23
3300/(-350)*224/(-44)
48
32 - 57 - (35 - (-1770)/(-15))
58
Calculate 2810/3091 - 2808/88.
-31
What is 3161424/(-89628) + 6*(-1)/(-22)?
-35
101887643/(-15876630) - 2/180
-45/7
(((-150)/210)/(0 + 2))/(-4 - (-30)/10)
5/14
What is 4/(2157/(-166089) - 5391/(-77))?
2/35
Evaluate 19920/(-400) - (-117)/15.
-42
What is (-3)/((152/69)/8) - (-14 + -14 + 17)?
2/19
What is 168*((-59440)/1120 - -53)?
-12
What is the value of (23/(-69))/((-17)/(-102)) + -47?
-49
What is -21*(-75)/175*12/9?
12
((-34)/(-1) - (-5005)/(-154))*(-5)/39
-5/26
(-144)/2 - ((-234)/(-15) - (-2244)/5610)
-88
What is 164115/382935*(1 + (-12)/14)?
3/49
Calculate (-596)/(-14) + (8928/(-252))/62.
42
10509/(-5580) + 14 + (-5022)/360
-11/6
Calculate 45/40 - (-13135)/(-14200).
1/5
Calculate 13359/(-2745) - (4/(48/(-23)) - 6/(-24)).
-16/5
Calculate 46 - -25 - (-12488)/(-176).
1/22
What is the value of ((-104)/10)/(6/(-15)) - (-760)/(11590/(-122))?
18
What is the value of 2665/(-650)*(-7912)/1886?
86/5
147/12 + 30492/1936
28
What is 122/183*(-49 + -23)?
-48
What is the value of 4/8*(1759 - 1758)/(2/(-92))?
-23
Calculate (-2)/(((-36)/(-15) + -3)*(2 + (-3 - 4))).
-2/3
What is the value of (-336)/96*((-18)/(-84))/((525/112)/5)?
-4/5
What is the value of 237000/3779360 + (-2 | {
"pile_set_name": "DM Mathematics"
} |
Which is the closest to -1? (a) -0.5 (b) r (c) -4 (d) 3/2
a
Suppose -2*g = 4*n - 10, -2*n + 5*g = -5 - 6. Let z = 1276.5 + -1277. Suppose 14 = 4*r + 50. What is the closest to -2/5 in r, z, n?
z
Let j be (-8 - -8)/((-6 + 5)*(2 + -1)). Which is the closest to 0? (a) -13.2 (b) j (c) -2/5
b
Let y = 58/15 - 131/30. Let w = -296/7 + 42. Which is the closest to -9? (a) y (b) -1/6 (c) w
a
Let u = 0.21 + -0.31. Let m be 374/(-88) - (3 - 7). Which is the nearest to -0.2? (a) u (b) m (c) 1/2
b
Let s = 1.6 + -2. Let k = -17141.85 + 17142. Which is the nearest to -1? (a) s (b) 1/5 (c) k
a
Let p = -8.76 - -9. Let h = -0.03 + 16.73. Let n = h + -17.7. Which is the closest to -2/5? (a) n (b) p (c) -1/7
c
Suppose -r - 5*o + 476 = 0, -3*r - o = -1369 - 87. Let i = 484 - r. Which is the nearest to 0.03? (a) i (b) 4 (c) 0 (d) 2/11
c
Let n be (2/22)/(((-348)/(-24))/29). What is the nearest to -2 in -2/7, -0.1, n, 5?
-2/7
Let z be 11 - 1467/135 - 356/(-30). Let m = -9.88 - -10.28. Which is the nearest to 2/7? (a) 3 (b) m (c) z (d) -0.4
b
Suppose 0 = 2*x - 4*b + 26, 2*b + 0*b - 7 = -x. Let m(y) = 2*y**3 + 8*y**2 + 6*y - 1. Let o be m(x). What is the nearest to o in -2, -0.02, 7?
-0.02
Let a = 40.69 + -41.09. What is the closest to a in 3/5, -5, -3/5?
-3/5
Let g(u) = -3*u + 30. Let w be g(11). Let d = -7 + 6. Which is the nearest to d? (a) w (b) -4/3 (c) -2
b
Let v = -13865 - -28469/2. Let h = -369 + v. What is the closest to 0 in h, 2, -0.1?
-0.1
Let o = 952 - 964. Let t be (-64)/(-6) - (22 + o). Let v(j) = -2*j**3 - 3*j**2 - j - 1. Let d be v(-2). What is the nearest to -3 in t, -0.4, d?
-0.4
Let l = -0.88 - 1.12. Let r = 2887.6 - 2892. What is the closest to 1 in -1/3, r, l?
-1/3
Let m be 648/378*(-42)/8. Let y be ((-6)/8)/(9/8). Which is the nearest to -0.2? (a) 4 (b) y (c) m
b
Let y = 0.1 + -0.6. Let x = 326.4344 + -327. Let d = 0.0344 - x. Which is the closest to -0.1? (a) -4 (b) y (c) d
b
Let q = -100 + 99.8. Suppose -j = j - 16. Let d be 0 - 2 - (-26)/j. What is the closest to 2/23 in d, q, 3?
q
Let d = -3.216 - -3.016. Let n be (-9)/(-6) + (-21)/(-6). Suppose -h - n = -6*h. Which is the closest to h? (a) d (b) -4 (c) -3
a
Let h = 0.1 - 0.1. Let w = -311 - -313. Suppose -q = 14*g - 9*g + 19, -5*q - 14 = -w*g. Which is the nearest to 2/3? (a) -0.02 (b) g (c) h
c
Let r = 380726/139 + -2739. Let l = 135549995/1505916687 + 4/292809. Let o = l - r. What is the closest to o in -0.5, -0.1, 3?
-0.1
Let o = 2/3 - 1/6. Let z be ((-629)/510)/(-37)*-2*-15. Let s = 3 - 2.6. Which is the nearest to o? (a) s (b) z (c) 5/6
a
Suppose m - 4 = -8. Let b = -0.172 - -0.072. What is the closest to 2/7 in -2/5, m, b?
b
Let u = -1393.5 - -837. Let x = u - -557. What is the closest to 3/134 in 2, x, -0.5?
x
Let q = -1.45 - -397.45. Let g = -395 + q. Let k be (-2)/(-8) - (-1 + 1). Which is the closest to g? (a) k (b) 2 (c) -2/17
a
Let u be (-22)/((-1452)/1034)*(-3 - -2). Which is the nearest to 23? (a) -0.2 (b) u (c) -2
a
Let r = 26.5 - 154.5. Let m = r - -116. Which is the closest to -0.3? (a) m (b) -1/4 (c) -5
b
Let n = -59 + 63. Let p be n/22 + (-126)/(-33). Suppose 3*y = q + 9, -2*y - 7 = -p*q - q. What is the closest to y in 4/7, 3, -0.5?
3
Let q(s) be the first derivative of -s**3/3 - s**2/2 + 13*s + 1. Let k be ((-2)/7)/(41/574). Let a be q(k). What is the nearest to a in 2/5, 3/4, 5?
3/4
Let k = 9 - 7. Let i(y) = 6 - 16 - 3*y + 2*y + 3*y. Let t be i(4). Which is the nearest to -2/3? (a) -3 (b) t (c) k
b
Let k = 42.2 + -42.5. Let n = 4.1 + -2.4. Let y(h) = h**3 - 7*h**2 + 9*h - 18. Let r be y(6). Which is the nearest to r? (a) 3/7 (b) n (c) k
c
Let g = 15.203 - -0.397. Let k = g - 15.5. Which is the closest to k? (a) 6 (b) 6/5 (c) 1/11
c
Let u = -24.9 + 21. Let s = 4.3 + u. Let y be (-2)/(2*30) - 4/24. Which is the nearest to 2/7? (a) 4/3 (b) y (c) s
c
Let z = 84 - 1096/13. Let s = 69/163 + -1361/2445. What is the nearest to 2 in -5, s, z?
s
Let z(k) = -12*k + 69. Let t be z(6). Let c be t - (-4)/(13 - 1)*7. What is the closest to c in -5, -4/7, -7?
-4/7
Let s = 10017 - 10025. Which is the closest to -0.09? (a) 2/11 (b) s (c) -5
a
Suppose 0 = -7*q + 2*q - 20. Let l = 203 - 248. Let r be q/10 - 9/l. Which is the closest to -1? (a) r (b) -5 (c) 1/2
a
Let s = -57 - -57. Let y be (2/(-10))/((-6)/4). Let i = -0.158 + -0.342. Which is the nearest to -1/2? (a) i (b) y (c) s
a
Let i be 8 + (-30)/((-1920)/(-352)). Let z = -5 - -5.4. Which is the closest to 1? (a) 3 (b) -2/7 (c) z (d) i
c
Let c = 266/657 + 26/657. What is the closest to 136/7 in c, 6, 5, -2?
6
Let n = 185.4 - 186.4. Which is the closest to n? (a) 5 (b) -5 (c) 74.9
b
Let j(f) = 55*f - 1265. Let h be j(23). What is the closest to h in 0, -2/9, 5/4, 0.2?
0
Suppose -10*j - 2 = -11*j. Suppose 0 = -3*x - j*w - 2, -5*w = 3*x - 7*w - 14. What is the nearest to 0.1 in x, 1/3, -0.4?
1/3
Suppose -4*g + 103 = i - 30, -4*i + 56 = 2*g. Let n be ((-2)/4)/((-85)/g). Which is the closest to 1? (a) -0.4 (b) 4 (c) n
c
Let p = 3256 - 3255.5. What is the closest to -5 in -5, 2, p, 3?
-5
Let u = 46 - 47. Let r(f) = 8*f - 259. Let n be r(33). What is the nearest to u in n, 3, 0.1?
0.1
Let s be 63/(-1575) + (-1098)/50. What is the nearest to -1 in s, 4, 0.4?
0.4
Let t = 219/5 + -43. Let f = -171 - -73. Let k = f - -98.4. Which is the nearest to k? (a) 0.1 (b) t (c) 0.2
c
Suppose 2671 - 2496 = -35*o. What is the closest to -3/4 in -1.7, -1, 2/13, o?
-1
Let z = 894 - 894.7. What is the nearest to -2/5 in z, 5, 1/3?
z
Let q = 2.62 - 5.45. Let m = q - -2.43. Which is the nearest to 9? (a) m (b) 0.1 (c) 1
c
Let k = 3295/4902 - 9/1634. What is the nearest to k in 0.05, 2/7, -3/10?
2/7
Let n = 95 - 90. Let u be (-2)/5 + 1 - (-1127)/(-1495). Which is the closest to u? (a) n (b) -1/4 (c) 0.5
b
Let s = 5818 - 5863. Which is the nearest to -2? (a) 4 (b) s (c) -5 (d) -2/9
d
Let f be (-51)/27 + (-17)/153 - 12/(-4). Let p = 67/12 + -19/3. What is the nearest to f in 0, p, -0.1, -4?
0
Let q = -547 + 546.73. Let x = q + 0.77. Which is the nearest to 14? (a) -1 (b) 5/2 (c) 1 (d) x
b
Let p = -35778 + 35778.5. Which is the closest to 0.4? (a) p (b) 2 (c) 17
a
Let h = -5 + -1. Let o = 6.3 + h. Let l be (-2 + 15/9)*(-27 - 1050/(-40)). What is the closest to 0 in l, -2/3, o?
l
Let s = 641 + -646. Let n(x) = -x**3 + 2*x**2 + 33*x - 6. Let j be n(s). Which is the closest to 1/3? (a) -0.2 (b) 6 (c) -2/3 (d) j
a
Let q be (((-8)/3)/1)/(-68 - -66). Which is the closest to -0.1? (a) q (b) -1/3 (c) 1 (d) -1/2
b
Let g = -16/953 + -1858/2859. Suppose 2*m + 90 + 6 = 0. Let i be -1*6*(-6)/m. Which is the closest to 2? (a) i (b) -0.4 (c) g
b
Let m = -579/4 - -145. Let p be (-316)/474 + (1 - 8/6). What is the closest to m in -4, -0.6, p?
-0.6
Let p be 105/735*63/10. What is the nearest to 0 in -2/9, p, -2/11?
-2/11
Let i be (-558)/(-372) - 1/(-2). What is the closest to -1 in -20, -1/6, i, 2/3?
-1/6
Let s = -794/2805 + 28/187. What is the closest to 0 in 3, -0.3, 9/5, s?
s
Let v = -990.2 + 988.2. Which is the closest to -2? (a) v (b) -1/5 (c) -30 (d) 0.2
a
Let t = -9.56 - 361.44. Let v = 380 + t. What is the nearest to 1/3 in -2, 10, v, 1?
1
Let o = -34521/276232 + -1/34529. Which is the nearest to -0.06? (a) -0.2 (b) 1/6 (c) o
c
Let z = -175 + 355. Let f = z + -180.4. What is the nearest to 2 in f, 0.05, -3/4?
0.05
Let z be (-5)/1500*-20 + -2 + 86/60. What is the nearest to -1/4 in -5, -4, z?
z
Let r = -0.02468 + 0.12468. What is the closest to r in 1.1, -3, 8, 0?
0
Let p be 3 + 4*2/4. Let o = 243959 + -243959.1. Let v = -1.3 + 1. What is the nearest to o in p, -2/3, v?
v
Let u = -17959 + 17946. Which is the nearest to -1? (a) -0.3 (b) -1/15 (c) u (d) 4
a
Suppose -5*g - 4*x - 7 = 0, -5*g - 23 = -4*x - 0*x. Let o = 0 - -0.2. What is the closest to 2/5 in o, g, 2/5?
2/5
Let m = -30299 - -29778. What is the closest to -1 in 0.2, m, 4, 0?
0
Let s = -10555 - -10558. Let a(m) = -m**2 + 5*m + 5. Let j be a(6). What is the nearest to -3 in s, 0.2, j?
j
Let g(j) = 8*j + 137. Let l = 230 - 247. Let w be g(l). What is the nearest to 0.1 in 0.1, 26/7, w?
0.1
Suppose 0 = 10*o - 218 + 238. Let w = 32/3 + -10. Which is the closest to -2/5? (a) w (b) -16 (c) o
| {
"pile_set_name": "DM Mathematics"
} |
13))**(-1/67) assuming s is positive.
s**(-2/871)
Simplify (c**(-2/5))**(13/2)/((c**(1/7)*c)/c**5) assuming c is positive.
c**(44/35)
Simplify (n*n**9*n*n**(-7))**(19/4) assuming n is positive.
n**19
Simplify (d**(-2/23)*d*d**2)**(-32) assuming d is positive.
d**(-2144/23)
Simplify (b*b**(-33))**(-11) assuming b is positive.
b**352
Simplify c**(-4)*c/(c**(-3/5)/c)*c**(-2)*c**(-4)/c assuming c is positive.
c**(-42/5)
Simplify (q**(1/12)*q)/(q*q/(q**13/q)) assuming q is positive.
q**(133/12)
Simplify (((g**1/g)/g*g)/(g**(-1)/g))/((g*g/((g*(g*g**3/g)/g*g)/g))/g**(1/4)) assuming g is positive.
g**(13/4)
Simplify c/((((c/(c/c**38*c))/c)/c)/c)*c**24 assuming c is positive.
c**(-9)
Simplify ((p**(1/2)/p)/p**2)/(p/(p**(-4/7)*p)*p**1) assuming p is positive.
p**(-57/14)
Simplify (q/q**(-11))**(-2) assuming q is positive.
q**(-24)
Simplify ((h*h**(2/17)*h)/h)**33 assuming h is positive.
h**(627/17)
Simplify (u*u*(u/(u*u*u**(-2/7)/u*u*u))/u)**(-1/7) assuming u is positive.
u**(5/49)
Simplify (j*j**0)**(-44)*(((j/(j*j**(-2/7)/j))/j)/j)**(-8/3) assuming j is positive.
j**(-884/21)
Simplify (m/(m/((m/((m**5*m)/m*m))/m)))/m**(3/7)*(m*m**(2/13))/m**(-4) assuming m is positive.
m**(-116/91)
Simplify a**35*a**(-1/4) assuming a is positive.
a**(139/4)
Simplify (g**(-2))**(-21)*(g/(g/(g/(g**8/g)))*g)/g*g/g**8 assuming g is positive.
g**29
Simplify (j**8/(j*j*j**(-9)*j))/(j**(-1/3))**(-16) assuming j is positive.
j**(26/3)
Simplify (q**(-1/3))**(-7)/(q**(2/3))**(27/5) assuming q is positive.
q**(-19/15)
Simplify (s**(-1/3))**32/(s*s*s*s**1*s*s)**(-2/39) assuming s is positive.
s**(-404/39)
Simplify t/t**9*t*t**(-4/3) assuming t is positive.
t**(-25/3)
Simplify (q**(1/3)/q*q*q)**(9/7)*(q**(-2/5))**(-2/7) assuming q is positive.
q**(64/35)
Simplify k/(k**(-2/17)*k)*k/k**(-4)*k/k**(-3)*k/(k*(k/k**(-4)*k)/k) assuming k is positive.
k**(70/17)
Simplify m/(m/(m*(m**3*m*m)/m))*m*m**(1/5)*(m/(m/(m**9*m*m)))/m*m**3 assuming m is positive.
m**(96/5)
Simplify (z**(-1/2))**34*z**(-4)/z*z/(z**0/z) assuming z is positive.
z**(-20)
Simplify (y**0*y**(1/9)*y)/(y*y*y**0*y)**(4/3) assuming y is positive.
y**(-26/9)
Simplify (q**(-5/4)/q**0)/(q**(-7)*q*q**(-9)/q) assuming q is positive.
q**(59/4)
Simplify i**(-6)*i*i**(-1) assuming i is positive.
i**(-6)
Simplify ((q/(q/(q*q**(-2))))**(-6/13))**(-2/37) assuming q is positive.
q**(-12/481)
Simplify ((h**(-2)*h)/h**(2/5))/(h**5*h/h**(1/11)) assuming h is positive.
h**(-402/55)
Simplify a**9/(a**(-2/59)/a) assuming a is positive.
a**(592/59)
Simplify (v**(2/17)/v)/v**1*v**(-1)/(v**(2/5)*v) assuming v is positive.
v**(-364/85)
Simplify x**(-5/8)/((x**(1/50)/x)/x) assuming x is positive.
x**(271/200)
Simplify u**16*u*u*u**(-2/47)*u assuming u is positive.
u**(891/47)
Simplify i**(-2/15)/(i**(-4/7)/i)*(i**(1/3)*i*i)**(-29) assuming i is positive.
i**(-2318/35)
Simplify x*x**(-4)/x*x*x**(3/8)*((x*x/x**1*x*x)/x)**18 assuming x is positive.
x**(267/8)
Simplify (c**(2/21)*c*c**(-2/23))/(c**1)**(-2/85) assuming c is positive.
c**(42361/41055)
Simplify (j**(2/3))**5*j**4*j**(3/2) assuming j is positive.
j**(53/6)
Simplify (m**(-1/2))**(-38) assuming m is positive.
m**19
Simplify (n**(-7)*n)**25 assuming n is positive.
n**(-150)
Simplify ((g**(-36)*g)/g)/(g*g**(-16)) assuming g is positive.
g**(-21)
Simplify (l**35/l)**(-2/67) assuming l is positive.
l**(-68/67)
Simplify p*p/p**(3/2)*p*p**3*(p*p*p/(p**(-1/3)*p*p*p))/p**(-7) assuming p is positive.
p**(71/6)
Simplify (y**(2/3))**(-11) assuming y is positive.
y**(-22/3)
Simplify (w*(w*w**10)/w)**2 assuming w is positive.
w**22
Simplify (f**(-3/7)*(f*f*(f*f**9)/f*f)/f)/(f/(f*f*f**(2/9)))**(-36) assuming f is positive.
f**(-234/7)
Simplify (z**(-1/3)/z*z**(-3/4)*z)/(z**(2/7)*z)**(-42) assuming z is positive.
z**(635/12)
Simplify (y**(1/2)/y*y*y)**(1/5)/((y/y**(-1/3))/y*(y*y/y**2)/y) assuming y is positive.
y**(29/30)
Simplify (t*t**(-22/5))/t**(-37) assuming t is positive.
t**(168/5)
Simplify ((n/(n*n**2))/n*n**1*n)/((n**0/n*n)/n*n*n**(-2)/n) assuming n is positive.
n**2
Simplify ((v**(-1/2)/v)**(-23))**(3/5) assuming v is positive.
v**(207/10)
Simplify (l*l*l*l**(-2/3)/l*l)**(-49)/(((l**(-4)/l)/l*l)/(l**(-1/10)*l)) assuming l is positive.
l**(-3253/30)
Simplify ((i/(i/(i/((i**(-1/2)/i)/i*i))))/i**(-4/3))**(-45) assuming i is positive.
i**(-345/2)
Simplify u*(u*u*u**(1/11))/u*u*u/(u/u**(-11)) assuming u is positive.
u**(-87/11)
Simplify ((i/i**(1/17))/i*i**9)/(i**(-3/2)/i*i*((i*i/i**(-1/6))/i)/i) assuming i is positive.
i**(524/51)
Simplify (l**(2/3))**(2/167)*l**(1/2)*l/l**(1/5) assuming l is positive.
l**(6553/5010)
Simplify o**(2/15)*((o**(2/3)/o)/o)/o*o**(2/23)/(o*o**(-2)) assuming o is positive.
o**(-128/115)
Simplify (p**(-2)/(p/(p*p**(2/19))))/(p/p**(2/7))**(5/8) assuming p is positive.
p**(-2491/1064)
Simplify p**6/(p*p**(-8))*((p/(((p*p/(p*(p/p**(-2/9))/p*p))/p)/p*p)*p)/p*p)**(7/6) assuming p is positive.
p**(905/54)
Simplify ((x**(2/7))**(-12))**(-7/12) assuming x is positive.
x**2
Simplify (c**(1/6)/(c*c**(1/8)*c))**(-2/81) assuming c is positive.
c**(47/972)
Simplify g**(-20)/(g/g**1) assuming g is positive.
g**(-20)
Simplify (y**(-1)*y/((((y**(1/3)/y)/y)/y)/y))**(-2/17) assuming y is positive.
y**(-22/51)
Simplify (k**(-17))**(17/3) assuming k is positive.
k**(-289/3)
Simplify i*i/((i*i**(-3))/i)*i*i*i/i**3*i assuming i is positive.
i**6
Simplify (a**(-6/7)/(a/a**(3/2)))**(-20) assuming a is positive.
a**(50/7)
Simplify y**(-4)*y**(-1) assuming y is positive.
y**(-5)
Simplify ((a/(a/(a/a**(1/5))*a)*a)**(3/7))**29 assuming a is positive.
a**(348/35)
Simplify r**7*r*r**15 assuming r is positive.
r**23
Simplify (u/u**2)/u*u**(-2)/u*((u*u**(1/4)*u)/u)**(-41) assuming u is positive.
u**(-225/4)
Simplify (d/(d*d**39/d))/(d*d**(-26)) assuming d is positive.
d**(-13)
Simplify (z*z**(-5))/(z/((z*z/(z*z**0)*z*z)/z*z))*(z**6*z)/(z/(z**(1/5)/z)*z) assuming z is positive.
z**(11/5)
Simplify (d/(d*d/(d*d**19)))/d**(23/3) assuming d is positive.
d**(34/3)
Simplify (f**0*f*f*f**(-1)/f)/(f**1)**(-1/28) assuming f is positive.
f**(1/28)
Simplify ((q/q**(2/7))/((q/(q/(q*q**7*q*q)))/q*q))/(q*q/q**(-7)*q**(-2)) assuming q is positive.
q**(-114/7)
Simplify (c/(c**(-4/3)/c))**(-17) assuming c is positive.
c**(-170/3)
Simplify (s**(1/25))**24 assuming s is positive.
s**(24/25)
Simplify ((c*c/c**4)/(c/c**(3/7)))/(c/c**(-6)*c*c/c**(1/4)) assuming c is positive.
c**(-317/28)
Simplify p**(-13/8)/p**(-19) assuming p is positive.
p**(139/8)
Simplify (o/((o**(2/5)/o)/o))**(6/31)*(o*o/((o**(2/17)/o*o)/o)*o)/(o**(1/6)*o) assuming o is positive.
o**(50891/15810)
Simplify l**(-7/4)/l**(-20) assuming l is positive.
l**(73/4)
Simplify z**7*z*z*z*z**(-25) assuming z is positive.
z**(-15)
Simplify (l/l**0)**(4/3)*(l**(-1/4)*l)/(l/l**5) assuming l is positive.
l**(73/12)
Simplify d/d**(-5)*d/d**1*(d*d*((d/(d*d/(d*d**(-1/4))))/d)/d)**43 assuming d is positive.
d**(-19/4)
Simplify ((a**(-2))**5)**(-38) assuming a is positive.
a**380
Simplify (k*k**(-2))/k*k**(1/5)*(((k*k**(2/3))/k)/k)/k*k*k*k*k/(k/(k/(k/k**(-3/2))))*k assuming k is positive.
k**(-19/30)
Simplify q**(-11)*q*(q*(q*q**16*q)/q)/q assuming q is positive.
q**7
Simplify (((y/(y/(y*y/((y*y/(y*y*y**(1/3))*y)/y)*y)))/y)/y)**(3/2)/(y*y*y/((y**(1/3)*y)/y*y)*y*y)**34 assuming y is positive.
y**(-368/3)
Simplify (l**(2/5))**(-2/53)*l**(-2/9)*l/l**(-3/8) assuming l is positive.
l**(21707/19080)
Simplify (j*j**9)**23 assuming j is positive.
j**230
Simplify (((((o/(o/((o**(-3/7)*o)/o)))/o)/o*o)/o)**27)**36 assuming o is positive.
o**(-16524/7)
Simplify (i/i**(-2))**(-1/9) assuming i is positive.
i**(-1/3)
Simplify s*s**(-18)*s/s**(-3/13)*s assuming s is positive.
s**(-192/13)
Simplify p*p**(-1/2)*p**(-2/15)*(p*p*(((p*p*p**(2/5))/p)/p)/p*p)**(-38) assuming p is positive.
p**(-545/6)
Simplify (s**(2/9)/s**7)/((s*s**7)/s*s*s**(-5)*s) assuming s is positive.
s**(-97/9)
Simplify (h/(h*h**(2/13))*h*h**1)/(h**(-1))**39 assuming h is positive.
h**(531/13)
Simplify ((l**3*l)/l**8)/((l**(6/5)/l)/l**(2/7)) assuming l is positive.
l**(-137/35)
Simplify (r**(-7/3)*r*r*((r/(r/(r*r**(3/2))))/r)/r*r)**22 assuming r is positive.
r**(77/3)
Simplify (w/(w/w**(-3/7))*w**(-2/23))/(((w/((w/w**(1/10))/w))/w)/w*w/(w**(-2/11)*w)) assuming w is positive.
w**(3589/17710)
Simplify (m/m**(-1/20)*(m/(( | {
"pile_set_name": "DM Mathematics"
} |
*2/4. Which is the biggest value? (a) w (b) t (c) h
c
Let i be (-8)/(8/(-2)) + -131. Let r = i + 1159/9. Which is the third smallest value? (a) -1/5 (b) r (c) 0
c
Suppose -3 = -4*h + 5*d, -2*h - 4*d + 12 = 2*h. Let n be ((-2)/32)/((-1)/h). Let u = -0.6 - 4.4. Which is the smallest value? (a) 0.2 (b) n (c) u
c
Let p = 5 - 6.6. Let f = p - -0.6. What is the third smallest value in 0.2, -0.2, f?
0.2
Let v = 134 + -2012/15. Let h = 18 + -11. Let p = h + -7.3. Which is the second smallest value? (a) v (b) p (c) -3
b
Let m = -1.1 + 0.1. Let a = 3.6 + -3.8. What is the second biggest value in m, -1/2, a?
-1/2
Suppose 0*n + 28 = -14*n. What is the smallest value in -0.1, n, 0.08?
n
Let r(x) = -x**2 - 9*x - 21. Let s be r(-8). Which is the second biggest value? (a) -2 (b) s (c) 1/3 (d) -5
a
Let j = -4 + 2. Let z be (2 - j/(-4)) + -1. Which is the second biggest value? (a) -1 (b) z (c) -0.2
c
Suppose 5*d = -29 + 9. Let x be (d/(-6))/(-7 - -13). What is the smallest value in -1, 5, x?
-1
Let u = -605/9 - -67. What is the biggest value in 0.2, u, 5?
5
Let h = -6/25 + 29/225. Let t = -4.7 + 5. What is the third biggest value in t, -0.4, h?
-0.4
Let w = 7 + -5. Which is the third smallest value? (a) 0.4 (b) -4 (c) w
c
Let r = 193/4 - 48. Which is the fourth smallest value? (a) 1/7 (b) 2/5 (c) -3 (d) r
b
Let s = 31.5 + -31. What is the fourth biggest value in s, 9, -0.1, -1/2?
-1/2
Let c = 0.3 + -0.1. Let h(p) = -p**3 + 3*p**2 - 1. Let b be h(1). What is the second smallest value in c, -1/7, b?
c
Let h be -2 - 0 - -1*5. Let w = -37 + 42. Which is the third biggest value? (a) h (b) -4 (c) w
b
Let l be (-1)/2*11/(-22). Let o = -6 + 7. Which is the biggest value? (a) o (b) l (c) 0.5
a
Let t = 14.2 - -4.8. Let k = -15 + t. Which is the third smallest value? (a) -0.4 (b) 5 (c) k
b
Let f = -80 + 69.2. Let a = f + 10. Let d = a - -5.8. What is the smallest value in -0.5, 2/9, d?
-0.5
Let i = -0.8 + 0.5. Let r = 3 + -3. Let k be r/((-1)/(-1) - -1). What is the third biggest value in -3, i, k?
-3
Let i = 895/4 - 226. Let u = 1 + i. Let d = -0.44 - -0.04. Which is the biggest value? (a) u (b) d (c) -1
b
Suppose -m = 4*d + m - 12, 2*d - 6 = -2*m. Let a = 39 + -28. Let z be a/12 + (-2)/d. What is the second biggest value in 1, 0.1, z?
z
Let f = 1/1815 - -49367/1815. Let v = f - 28. What is the second biggest value in v, 1/3, 6/11?
1/3
Let h be (-39)/(-18) - 8/4. Suppose 0*u = -5*u. Which is the third biggest value? (a) h (b) u (c) -1/2
c
Let v = 18 - 376/21. Let l = -0.08 - -5.48. Let t = -5 + l. Which is the third smallest value? (a) t (b) -1/4 (c) v
a
Suppose 0 = -5*m - 10 + 15. Which is the smallest value? (a) -0.3 (b) m (c) 0.4
a
Let f = 0.3 + -0.4. Let q = 8.2 - 0.2. Let s = 5 - q. What is the second biggest value in s, f, -0.06?
f
Let t = 7/2 + -4. Which is the second smallest value? (a) -0.1 (b) t (c) 5
a
Let v be (1/3)/((-2)/3). Let o = -53 - -263/5. What is the biggest value in v, o, 2/11?
2/11
Let q = -1.53 + 0.23. Let i = q + -3. Let n = i - -4. Which is the second smallest value? (a) 0 (b) n (c) 0.3
a
Suppose 2*s - 2*m + 4 + 2 = 0, -m + 11 = -5*s. Let y = -14 + 17. What is the third smallest value in y, s, -3?
y
Let p = -26 + 21. Which is the second smallest value? (a) -4 (b) 0.2 (c) 0.06 (d) p
a
Let w = 1.3 + -0.3. Let f = -23 + 13. Let i = f + 15. Which is the second biggest value? (a) 2/11 (b) i (c) w
c
Let i = 6 - 5.7. Let y = -13 - -9. Let z = y + 3.7. Which is the third smallest value? (a) z (b) i (c) 0.2
b
Let u = 1.09 - 1. Let w = u - -2.91. What is the biggest value in -4, w, 0.1?
w
Suppose -p - 4*p - 9 = g, p + 27 = -3*g. Let o = g + 10. Let v = o + -2. Which is the biggest value? (a) 0 (b) 1/2 (c) v
b
Let s = 0.02 + 0.28. Let j = -10.11 - -0.11. Let t = j + 9.9. What is the third smallest value in t, s, 4?
4
Let x = -0.41 - 2.59. Let k = -1 + 0.9. What is the third biggest value in 2, x, k?
x
Suppose 0 = 3*r + 5*x - 188, -4*x = -7*r + 2*r + 338. Let m = r - 112. Let d = m - -95/2. What is the second smallest value in -3, 5, d?
d
Let l = -0.08 + -8.92. What is the smallest value in l, 0, 3?
l
Let h(m) = 6*m**2 - m**3 + 7 + 4*m**2 + 2*m + 9*m - 4. Let o be h(11). Let u = o - 8. Which is the third biggest value? (a) u (b) -1/2 (c) -4
a
Let v = 24 + -23.5. Which is the second biggest value? (a) v (b) -3 (c) -0.2
c
Let w = -2.6 - -0.6. Let o = w - 11. Let s = 8 + o. What is the third smallest value in s, 0.2, -1?
0.2
Let o = -2/391 - -804/4301. Which is the third biggest value? (a) o (b) -2/21 (c) 1 (d) 3/5
a
Let d be (-6)/33 - (-4680)/25014. Let y = d - 768/1895. Which is the second biggest value? (a) -0.5 (b) y (c) -2/7
b
Let y be -3*(-2)/((-4)/2). What is the third smallest value in y, -5, -4?
y
Let a be (-3 + (-36)/(-8))*-2. What is the biggest value in -1, a, 1?
1
Let p = -52 - -79. Let m be 561/27 - (-6)/p. Let w be (m/49)/(3/(-2)). Which is the smallest value? (a) w (b) 0.1 (c) -2/13
a
Let i = 0.047 - 2.047. Which is the biggest value? (a) i (b) -3 (c) 0.3 (d) 0.13
c
Let l = -14 - 11. Let m = -37 - l. Let w = m - -8. What is the second smallest value in 0.5, 0.1, w?
0.1
Let q = 0.37 - -0.03. Which is the biggest value? (a) 2/9 (b) -3 (c) -0.3 (d) q
d
Suppose 4*s + 16 + 12 = 0. What is the third smallest value in s, -4, 2/7?
2/7
Let j = -4 + 2.9. Let a = 0.1 + j. What is the third biggest value in -2/9, -1/3, a?
a
Suppose 16 = -6*l + 2*l. Let u = l + 3. Which is the third biggest value? (a) 1 (b) 3 (c) u
c
Let y = 0.486 + 0.014. Which is the second smallest value? (a) 2 (b) -4 (c) y (d) 1/9
d
Suppose g + 3*n = 9 - 2, n = g - 3. Let w be g/(-14) - 15/(-28). Let r = -1053/2 - -526. Which is the second biggest value? (a) r (b) w (c) -4
a
Let x = 1 - 1. Let k = 4.2 + -4.4. Which is the second biggest value? (a) 3/5 (b) x (c) k
b
Let d be 10/(-40)*24/10. Which is the third biggest value? (a) d (b) 4/7 (c) -3
c
Suppose 4*c + 4*c = 0. What is the second smallest value in 2/5, 0.1, c?
0.1
Let k = -0.1 + 2.1. What is the biggest value in -0.11, 3, k?
3
Let s = -7.012 - 0.088. Let o = s - -7. What is the third smallest value in o, -1/8, 2/5?
2/5
Let j = 17.89 + 0.11. Let g = j - 26. What is the smallest value in -4, g, 0.4?
g
Let z = 0.2 + 0.1. Let x = -1.5 - -3. Let u = 2 - x. Which is the third biggest value? (a) u (b) z (c) -2
c
Let o be (54/48)/((-6)/8). Which is the third biggest value? (a) 0.1 (b) o (c) 2/5
b
Let g = 60 + -65. What is the biggest value in g, -1/3, 4, 1/4?
4
Let b = -3 + 2.98. Let h = -5.02 - b. Let l = h - -2. What is the third smallest value in -0.4, 0.3, l?
0.3
Suppose -7 = -3*n + 5. Suppose -n*i - 5*l = -10, -i + l - 8 = -3*i. Let u = 8 - i. Which is the second smallest value? (a) 0.4 (b) u (c) -0.2
a
Let j = -1 + 6. Let d = -239 - -3105/13. Which is the third smallest value? (a) j (b) d (c) 0.2
a
Let g be 8/(-6) + 1 + 1. Let z = 20 - 20.4. What is the second smallest value in 2/15, z, g?
2/15
Let k(p) = -p**3 + p**2 + 2*p - 2. Let m be k(2). Let o be 3/m - (-25)/20. Which is the second smallest value? (a) o (b) 2/7 (c) 0.4
b
Let a = -0.03 - -0.33. Let t = -0.4 + 0.6. Let b = t + 4.8. What is the second biggest value in b, -2/7, a?
a
Let n = 65 + -65.1. Which is the third biggest value? (a) 2 (b) -5 (c) -9 (d) n
b
Let m = 8 + -8.8. Let x = m + -0.2. What is the third smallest value in x, 0.1, 2?
2
Let f = 2 - -2. Let l = -441.91 + 442. Which is the second smallest value? (a) -1/7 (b) l (c) f
b
Let v = -8.7 + 11.02. Let x = -0.7 - v. Let t = x - -0.02. Which is the second biggest value? (a) t (b) 5/2 (c) 0
c
Suppose n + 2 = -n. Let d(s) = -s. Let i be d(n). Let w = 27 + -23. Which is the second smallest value? (a) w (b) i (c) -5
b
Let c = 1.5 - 2. What is the second biggest value in -0.2, 1, c?
-0.2
Let l = -48 + 52. Let d = 1 + -1.1. Let k = d + 0.3. Which is the biggest value? (a) k (b) 3/2 (c) l
c
Let t = 60/7 - 233/28. Which is the biggest value? (a) -4/7 (b) -2 (c) t
c
Let t = 0.23 + -10.83. Let p = -13 - t. Let m = 2 + p. What is the second biggest value in 0.5, m, 4?
0.5
Let u be 7/(-15) - 2/(-6). What is the second biggest value in 0, 3, u?
0
Let z be 4 - (143/(-33))/((-8)/6). Whic | {
"pile_set_name": "DM Mathematics"
} |
0.21221 - 0.15221. Let t = 12 - 8. Sort w, t, 2/9, 2.
w, 2/9, 2, t
Let r be (-143)/13*(-6)/33. Put r, 4, -16 in ascending order.
-16, r, 4
Let w = -87 + 7. Put -4, -2, w, 4 in decreasing order.
4, -2, -4, w
Let c = -1159 + 1159.1. Put 2/13, c, 0.2, -0.1 in increasing order.
-0.1, c, 2/13, 0.2
Let j(m) = -6*m - 17. Let t be j(-9). Let c = 32 - t. Let g(z) = -z**3 + 3*z**2 - z - 2. Let b be g(2). Sort 2, b, c in decreasing order.
2, b, c
Let j be (30/(-5))/(-1 + (-20)/(-8)). Sort -19, 3, j in decreasing order.
3, j, -19
Let k(g) be the third derivative of g**4/8 + 5*g**3/3 - 10*g**2. Let j be k(-5). Sort 3, 0, j, -4 in ascending order.
j, -4, 0, 3
Let m = 2.9317 + 0.0683. Sort 2/153, m, -4 in descending order.
m, 2/153, -4
Let f = 217 + -380. Let o = 162.94 + f. Sort o, 1/4, -1.
-1, o, 1/4
Let w be -12*((-11)/(-3) + -4). Let a = -42 - -10. Let j = 32.5 + a. Sort j, w, 0 in increasing order.
0, j, w
Let l = -74 - -91. Suppose -3*p = 3*i - 5*p - l, -5*i + 23 = -2*p. Sort -7, 5, -3, i in increasing order.
-7, -3, i, 5
Let y = -1325 + 1310. Sort -5, y, 0, -4.
y, -5, -4, 0
Let l = 39 - 39.3. Let m be ((-1)/(-2))/(6 - (-15)/(-3)). Sort m, l, -4 in decreasing order.
m, l, -4
Let u = -1036 - -1038. Sort 3/8, u, -0.74.
-0.74, 3/8, u
Let n be (-12 + 370/30)/((-1)/(-9)). Put -4, n, -2, 5 in decreasing order.
5, n, -2, -4
Let u(w) = 8*w - 12. Let s be u(1). Sort s, -85, 5 in decreasing order.
5, s, -85
Let c = -3369/8 - -421. Put c, -1/6, 1/4, 0 in descending order.
1/4, 0, c, -1/6
Let j = 1076 - 34429/32. Sort j, 2/9, -4, -1/3 in decreasing order.
2/9, j, -1/3, -4
Suppose 2*g + 0*g + 4 = 4*j, -3*g = -4*j. Sort g, -28, -3 in descending order.
g, -3, -28
Let b = -21 + 103/5. Put -4, 0.3, b, 0.01 in descending order.
0.3, 0.01, b, -4
Let y = -19 + 23. Let g be (-4)/3*(1 - y). Suppose -4*u + 0*u = -4. Put u, 2, g in increasing order.
u, 2, g
Let v be (-1)/((-7)/(-84)) - 6. Put -2, v, 3, -3 in decreasing order.
3, -2, -3, v
Suppose 2*r + 9 + 1 = 0. Suppose 0 = 3*y + y - 8. Put y, r, 0.1 in increasing order.
r, 0.1, y
Suppose 5*b = -5*u + 25, 4 + 7 = b - 5*u. Suppose 0 = -4*r + 2*s - 4, 3*s = r + 3*r + b. Let w = -26 - -23. Put w, r, 2 in descending order.
2, r, w
Let b = 59 + -58.9. Let v(t) = -1 + t + 2 + 1 - 2*t. Let q be v(0). Put q, 0.06, b in increasing order.
0.06, b, q
Let a be 3/1*(-13 + 14). Suppose -4*q + 4*f = -32, 2*q - 7*f = -a*f + 16. Suppose l - 3*s + 19 = s, s - 9 = -4*l. Sort l, -1, q in decreasing order.
q, l, -1
Suppose 6*d + 84 = 27*d. Sort d, -4, 21 in descending order.
21, d, -4
Let a = 18 - 53/3. Put 0.3, a, 6 in increasing order.
0.3, a, 6
Let o = -3916 + 11471/3. Let a = 827/9 + o. Sort a, -6, 5 in decreasing order.
5, a, -6
Let c(h) = 2*h + 53. Let y be c(-17). Sort 5, y, 10 in increasing order.
5, 10, y
Let b(n) be the first derivative of -n**4/4 - n**3 + n**2/2 - n - 14. Let d be b(0). Put -4, d, 0.5, -3/5 in ascending order.
-4, d, -3/5, 0.5
Let h = 283.3 + -285. Sort 1, -2, h, 2/5 in descending order.
1, 2/5, h, -2
Let n be 4/6 + 16/(-30). Let x = 8.05 + -8.25. Put n, -1/7, x in increasing order.
x, -1/7, n
Let z = 122 + -124. Sort 0.2, 3/17, z in decreasing order.
0.2, 3/17, z
Let k = -3.16 - -2.19. Let u = k - 4.03. Put 4/9, -0.4, u in decreasing order.
4/9, -0.4, u
Suppose 0 = 5*q + 3*u + 15, -5*q + 2*u + 6 = -4. Sort 4, -4, 6, q in decreasing order.
6, 4, q, -4
Suppose 9*b + 11*b + 0*b = -2*b. Suppose -2*s - 2*s + 6 = -2*f, 5*f = -s + 18. Put b, 5, -5, f in decreasing order.
5, f, b, -5
Let d = -2407.9 + 2408. Put -1, d, 4, 5 in decreasing order.
5, 4, d, -1
Let a(v) = 3*v - 9 - 17*v + 3*v + 10*v. Let d be a(-7). Let b = -3 - 1. Sort b, 5, d.
b, d, 5
Let b = 0.09 + -3.09. Sort b, 10, 0.
b, 0, 10
Let v be 2/3 + (-96)/36. Let w(q) = -q**2 - 8*q - 6. Let y be w(-7). Sort v, 3, y, -3 in descending order.
3, y, v, -3
Let i be (12/2)/(108/72). Suppose 0 = 4*k - 5*k - 1. Sort -2, i, 1, k in increasing order.
-2, k, 1, i
Suppose j - 15 = -2*j. Suppose 12 = -w + j*w. Let l be (-9 - (18 - 39)) + (-7 - 0). Put w, l, -5 in increasing order.
-5, w, l
Let r be (-31)/93 + (-22)/6. Sort -5, r, -2, -3 in decreasing order.
-2, -3, r, -5
Let o = -184 + 185. Sort o, -1, 5.
-1, o, 5
Let w(p) = -9*p - 31. Let g be w(-4). Put -2, -4, g in decreasing order.
g, -2, -4
Let p(k) = 10*k**3 + k + 2. Let z be p(-1). Let w be 11/z + 2 + 14/63. Sort 8, w, 2 in decreasing order.
8, 2, w
Suppose 2*w + 19 - 23 = 0. Suppose 0*f = -5*f + 2*h - 9, f = -2*h + 3. Let r be (0 + 1 + f)/1. Put w, r, 1 in decreasing order.
w, 1, r
Suppose -6*w + 19 + 41 = 0. Let k be 40/(-100) - 36/w. Let s = 5 - 10. Put k, s, 2 in ascending order.
s, k, 2
Let t = -55 + 54.86. Let o = t - -0.1. Sort o, 0.2, -5 in decreasing order.
0.2, o, -5
Let h = -201 + 202. Let m(n) = -2*n - 9. Let p be m(-6). Suppose 0 = 2*w - h - p. Sort 4, 3, w.
w, 3, 4
Suppose -2*y = m - 5 - 2, 0 = 2*y + 3*m - 1. Let o(l) = 2*l**2. Let d be o(2). Let s = 4 - d. Sort -0.4, y, s in increasing order.
s, -0.4, y
Suppose 40 = 674*a - 666*a. Put a, 4, -127 in descending order.
a, 4, -127
Let o = 14.5 + 2.5. Let i = o - 19. Let a be (-36)/(-42)*(-7)/(-4). Put a, 4/7, i in descending order.
a, 4/7, i
Suppose 4*j = 12, 3*j = -o + 4 - 0. Put o, 1, 2 in increasing order.
o, 1, 2
Let i = -58 - -58.2. Sort -4, 31, i in increasing order.
-4, i, 31
Let m(p) = p**2 + 70*p + 645. Let f be m(-59). Sort -3, 3, f in decreasing order.
3, -3, f
Let q = -160 + 159. Put q, 1, 40 in decreasing order.
40, 1, q
Let a(z) = 8*z - 18. Let y be a(7). Suppose -18 = -19*s + 20. Sort y, s, -2 in ascending order.
-2, s, y
Let o = -0.04 - 1.96. Let j be 21/(-35)*(-132)/(-9). Let p = -122/15 - j. Sort p, o, 5 in increasing order.
o, p, 5
Let m = -8.37 - -6.17. Put 3, m, 0.4, -4 in decreasing order.
3, 0.4, m, -4
Let v = -23/4 - -123/20. Suppose 3*l + 3*q + 3 = 6*q, -4*l - 3*q - 39 = 0. Let p be (-8)/l*(-9)/(-66). Put -0.2, p, v in increasing order.
-0.2, p, v
Let o = 0.2421 - -0.1579. Sort o, -6, 0, -5 in increasing order.
-6, -5, 0, o
Let v = 4 - 5. Let h = 268.5 + -273.5. Put h, v, 2, 2/3 in decreasing order.
2, 2/3, v, h
Let a = -366 + 3296/9. Put -1/4, a, 1/2, 2/7 in increasing order.
-1/4, a, 2/7, 1/2
Let h = 32/47 + -3715/141. Let u = h - -25. Sort u, 0.1, -4.
-4, u, 0.1
Let x(f) = f**3 - 7*f**2 + 10*f - 5. Suppose -3*n + l = -n - 9, 3*n - 2*l = 11. Let d be x(n). Let b be 13/d + (-1)/5. Sort -3/5, -0.2, b in increasing order.
-3/5, -0.2, b
Suppose 5*p - 5*k = 46 - 21, 5*k - 5 = -p. Suppose -x = x. Put x, p, -2 in increasing order.
-2, x, p
Let t = 14/89 - 248/445. Sort -3, t, -12.
-12, -3, t
Let n = -34 - -59. Let y = n + -24.7. Put y, -2/13, -2 in descending order.
y, -2/13, -2
Let q = -0.1 + 0.2. Let g = -298.6 + 299. Sort q, 1/6, g in descending order.
g, 1/6, q
Let x = -0.151 + -0.079. Let d = 5 + -5.17. Let s = x + d. Sort s, -2, 2 in descending order.
2, s, -2
Let x(t) = t**3 + 24*t**2 + 24*t + 28. Let w be x(-23). Suppose 5*c + 10 + 5 = 0. Let u be -2*3/(-6)*c. Sort 4, u, w.
u, 4, w
Let v be 5/7 + (-6)/(-21). Let m be ((-46)/(-92))/(2/(-4)). Sort -6, 4, v, m.
-6, m, v, 4
Suppose -2*q + 8 = -t, 5*q + 4*t - 6 - 1 = 0. Suppose 4*h - 12 = -4*y, -12 = -3*y - 8*h + 4*h. Sort q, 8, y.
y, q, 8
Let i = 4 + 10. Let f be (-7)/(i/(-10)) - 1. Sort -9, f, -4, -2.
-9, -4, -2, f
Let a = -41 + 35.2. Let d = -5.4 - a. Put d, -6, -0.4 in decreasing order.
d, -0.4, -6
Suppose -5*u = -3*n + 10, -8 = 4*u + n + n. Let f = -14.7 - 0.3. Let i = 11 + f. Put u, -2/3, i in decreasing order.
-2/3, u, i
Let a = -2.2 - 0.8. Let f = a - 1. Let x = 4 + -4.2. Put 4/3, f, x in ascending order.
f, x, 4/3
Suppose 4*c = 4*z, -7*c + 8 = -4*c - z. Sort c, 501, -4 in decreasing order.
501, c, -4
Let h(s) = 3*s + 41. Let y be h(-13). Let w be 2*-1*-6*(-10)/60. Put -4, y, 11, w in ascending order.
-4, w, y, 11
Let b = 2890 - 2889.6. Let p = -8 + 7.87. Sort 1/8, b, 2/3, p.
p, 1/8, b, 2/3
Let b = 779 - 787. Let f be -6*(-3)/((-9)/2). Put 3, f, b, -5 in decreasing order.
3, f, -5, b
Let f be 12/(-9) + (-16)/24. Let a = -1 - -4. Sort f, a, 5 in increasing order.
f, a, 5
Suppose -5*m - 17*l = -15*l + 10, -2*m + 4*l = 4. Sort -4, -17, m, 0 in decreasing order.
0, m, -4, -17
Let q(i) = i**2 + 14*i + 12. Suppose 9*r + 29 = -88. Let a be q(r). Sort 5, -2, a, -12 in ascending order. | {
"pile_set_name": "DM Mathematics"
} |
1, -2/7, -3, u
Let r(g) = -g**2 + 5*g - 1. Let d be r(4). Suppose -5*p - d*k + k = -10, -2*p - 4*k = 12. Let o = -13 + 9. Sort o, p, -3.
o, -3, p
Let y = 451 + -454. Sort 11/16, 2, y in increasing order.
y, 11/16, 2
Let h(l) = -l**3 - 11*l**2 - 12*l + 3. Let y be h(-10). Suppose 0 = -3*b - 59 + y. Put -1, 1, b in increasing order.
b, -1, 1
Let w = -33 + 48. Let h = w + -20. Let v = h - -2. Sort -4, v, -0.3 in ascending order.
-4, v, -0.3
Let y(l) be the third derivative of -l**5/60 - 7*l**4/24 + l**3 - 5*l**2. Let b be y(-8). Suppose x = 4*x - 6. Sort x, 0, b in descending order.
x, 0, b
Let i = -345 - -345.3. Put 11, i, -2 in decreasing order.
11, i, -2
Let k = -6 - -30. Suppose 4*j - p - 20 = 0, 2*j - 2*p - k = -2*j. Sort -1/8, j, 2, -0.1 in descending order.
j, 2, -0.1, -1/8
Let g(c) = 3*c - 1. Let d be g(-1). Put 0, d, -11 in decreasing order.
0, d, -11
Let w = 103 + -98. Sort -3, -4, w, 4 in descending order.
w, 4, -3, -4
Let t = 134520 - 76407305/568. Let o = 2/71 + t. Sort o, 0.1, -0.1 in ascending order.
-0.1, 0.1, o
Let j(k) = k**3 + 10*k**2 + 4*k + 40. Let b be j(-10). Suppose -5 + 6 = -m. Sort 10, b, m.
m, b, 10
Let d = 3 + -10. Let f = 20 + d. Let c = f - 16. Sort -0.1, c, -4.
-4, c, -0.1
Let s be (-8)/(-12)*(-159)/2. Sort s, 0.4, -5.
s, -5, 0.4
Suppose 0 = -0*b - b. Let a(x) = -x**3 + 3*x**2 + 5*x + 2. Let k be a(4). Suppose -25 = -k*h + 11*h. Sort b, h, 1 in descending order.
1, b, h
Let q(s) = 5*s**2 + 128*s - 48. Let k be q(-26). Sort -7, -3, k, -1 in descending order.
k, -1, -3, -7
Let u(q) = q**3 + 4*q**2 + 2*q + 5. Let f be u(-4). Let h = -194.1 + 194. Sort -5, h, -4, f.
-5, -4, f, h
Let s = -31 - -30.8. Sort s, -1, -4.
-4, -1, s
Let x = 18.9 + -19. Let l be 0 - 6/(-4) - 29/(-58). Put -2/15, l, -4, x in descending order.
l, x, -2/15, -4
Let d = -18 + 14. Let f = 50.4 - 49.4. Put 3, 0, f, d in decreasing order.
3, f, 0, d
Let d = 3 + -2. Let n(v) be the first derivative of v**4/4 - 16*v**3/3 - v**2/2 + 18*v + 4. Let l be n(16). Sort -3, l, d in decreasing order.
l, d, -3
Let y = 1645 - 1647. Suppose h = -0 + 3. Sort y, 0, h.
y, 0, h
Let t = 174 - 175. Put 2, t, 0, 5 in descending order.
5, 2, 0, t
Suppose 0 = -g - 4*g - 145. Let x be 2/(-12) + (-968)/33. Let i = g - x. Sort -0.1, i, 3.
-0.1, i, 3
Let x = -85.37 - -85. Let z = x - -0.37. Put -1, z, -4 in ascending order.
-4, -1, z
Let n(x) = -49*x**3 + 6*x - 4. Let i(g) = -16*g**3 + 2*g - 1. Let w(c) = -7*i(c) + 2*n(c). Let z be w(-1). Sort 0, z, 2 in decreasing order.
2, 0, z
Let j(i) = 5*i + 5. Let g be j(-15). Let l be (-4)/(-3) - g/15. Sort -2, -1, -5, l.
-5, -2, -1, l
Let g = -1140 - -905. Sort -5, -2, 4, g.
g, -5, -2, 4
Let h(t) = -t**2 - 17*t - 21. Let m be (1/(-2))/((-17)/(-544)). Let x be h(m). Put 5, 2, x, 0.2 in ascending order.
x, 0.2, 2, 5
Suppose 19*o - 39 = 6*o. Put -84, -1, o in increasing order.
-84, -1, o
Let p(f) = 2*f**3 - 40*f**2 - f + 23. Let h be p(20). Let k = 1 - 6. Sort h, k, 10 in increasing order.
k, h, 10
Suppose -17 = 5*f + 8. Suppose 239*y + 263*y - 736*y + 259*y = 0. Sort 44, y, f in decreasing order.
44, y, f
Let j = 1.5 - 14.5. Let f = -18 - j. Sort f, 1, 14 in increasing order.
f, 1, 14
Let g be -2*(4/(-10) - (-27)/30). Let k(b) = 3*b + 3. Let l be k(-4). Let o be (9 - 6)*4/(-3). Sort g, l, o in descending order.
g, o, l
Let a(k) = -k - 9. Let b be a(-13). Let u = 3 + b. Let y be u + -6 + 4/2. Sort -0.4, y, 2/17.
-0.4, 2/17, y
Let q(b) = -b**3 - 19*b**2 - 14*b + 72. Let p be q(-18). Sort -4, 4, p, 28 in descending order.
28, 4, p, -4
Let b = 53.3 + -53. Let s = b - 0.5. Sort -5, 0.5, s in descending order.
0.5, s, -5
Let p = 1231 - 1226. Sort -0.3, 0, p, 2/7 in decreasing order.
p, 2/7, 0, -0.3
Let b = -10 - -16. Suppose -3 - b = -3*m. Sort -4, m, 1 in descending order.
m, 1, -4
Suppose -6*n = -2*n - 28. Suppose -n*k + 17 = 3. Suppose -h + 0*h = k. Sort h, 0, -1 in increasing order.
h, -1, 0
Suppose 14 + 12 = 5*y - 2*m, y + 3*m + 5 = 0. Sort 1, 70, y in decreasing order.
70, y, 1
Let q(n) = n**3 - 6*n**2 - 7*n + 6. Let g be q(7). Suppose g = 6*a - 3*a. Suppose 3*b - 1 - 6 = -a*p, 5*b - 37 = 3*p. Sort -4, -9, b in decreasing order.
b, -4, -9
Suppose -b - 2 = -4*a - 11, -2*b - 3*a - 15 = 0. Sort b, -24, -1 in decreasing order.
-1, b, -24
Let r = 44 + -42. Suppose r*i + 1 - 5 = 0. Let n be (2/3 - 2)*-3. Put i, -3/4, n in descending order.
n, i, -3/4
Suppose 2*f - 13 = -5. Suppose -3 = -f*b - 4*t + 5, 4*t = 5*b + 8. Sort b, -0.2, -0.3.
-0.3, -0.2, b
Suppose 6*k - 96 = 2*k. Let m = k + -24. Let t be (-3 - m) + (-40)/(-5). Sort 7, -0.3, t in descending order.
7, t, -0.3
Let f = 0.331 - 0.431. Let t = 0.2 + -0.1. Put f, t, 20 in descending order.
20, t, f
Let c(u) = 2*u**2 + 1. Let l be c(5). Let r(s) = s - 5. Let k be r(-4). Let b be (-6)/9 - l/k. Put -5, 4, b in decreasing order.
b, 4, -5
Suppose 3*b = -j - 2, -5*j - b + 6*b - 90 = 0. Let y(k) = -2*k**2 - 6*k + 4. Let i be y(-4). Let v = 1048 - 1046. Put i, v, j in decreasing order.
v, i, j
Let u = -1093 + 1091. Sort -2/3, -1, 1/5, u in ascending order.
u, -1, -2/3, 1/5
Let i be (-9)/(-3) + -2*2. Let a(q) = -q + 11. Let w be a(18). Put w, i, 0 in decreasing order.
0, i, w
Let p = -250 - -246. Sort -5, p, 3.
-5, p, 3
Let c = 97.1 - 97.35. Put c, -2/5, 0 in increasing order.
-2/5, c, 0
Let k = -3.26 - -3.76. Let y(a) = -a**3 - 6*a**2 + 4*a - 13. Let t be y(-9). Let b = t - 2520/13. Put k, -4, b in decreasing order.
k, b, -4
Let f = 2.4 - 1.9. Suppose -24 = -3*x + 11*x. Let p be (x - 2)/(2 - -4). Sort p, f, -0.5.
p, -0.5, f
Let p(t) = -6*t - 23. Let n be p(8). Let u = 72 + n. Let y(r) = r**2 + r + 3. Let w be y(0). Put -7, w, u in decreasing order.
w, u, -7
Let x be ((-8)/(-3))/(-4) - (-91)/231. Sort x, -1/4, 4 in descending order.
4, -1/4, x
Suppose -112*o + 370 = -186*o. Sort -29, -6, o in decreasing order.
o, -6, -29
Let o = -170 - -172. Put -2, -9, o, 0 in ascending order.
-9, -2, 0, o
Let p = -0.0578 + 0.0668. Sort p, -5, 2, -4/5 in descending order.
2, p, -4/5, -5
Let t = 2.42 + -5.42. Put -23, t, 3/7 in increasing order.
-23, t, 3/7
Let b = 6621.1 - 6621. Let g = -2.5 + 0.5. Put -0.5, b, g in increasing order.
g, -0.5, b
Let x = 96.6 - 97. Sort -4, x, -0.1 in ascending order.
-4, x, -0.1
Let n = -2552 + 2551.8. Let l = 8 - 63/8. Sort -6, l, n, 4 in descending order.
4, l, n, -6
Suppose 15 = 4*y + y. Let l(k) = -k**3 - 3*k**2 + 3. Let s be l(-2). Sort s, 0.4, y in descending order.
y, 0.4, s
Suppose 0 = 2*i - 3*i - 1. Let v = 2 - i. Let t = 1 + v. Put -2, t, 1 in decreasing order.
t, 1, -2
Let x(p) = 16*p + 123. Let n be x(-8). Sort 37, n, 4.
n, 4, 37
Suppose -69 = 13*s - 17. Let x = 32 - 31.9. Put s, 4, -3, x in ascending order.
s, -3, x, 4
Let z be (9/6)/(6/(-40)). Let k be z - -7 - (0 - 2). Let c = k - -2. Put c, 3, -4 in decreasing order.
3, c, -4
Suppose 0 = -31*o - 85 - 163. Sort -3, o, -1 in increasing order.
o, -3, -1
Let x(c) = 10*c - 5. Let y be x(3). Suppose 0 = 2*i + 9 - y. Let v be (-3)/(-1*156/i). Put v, -1, -2 in descending order.
v, -1, -2
Suppose 3*s = 5*f + 26, -19*f - 10 = 3*s - 15*f. Sort s, -4, -39, -2 in descending order.
s, -2, -4, -39
Let i = -8/11 - -43/44. Let c = 0.02 - 0.04. Sort c, i, -2 in ascending order.
-2, c, i
Suppose -14 - 10 = 4*p. Let s(l) = 3*l + 12. Let z(q) = q + 4. Let w(j) = p*s(j) + 17*z(j). Let k be w(0). Sort -2, -5, k in increasing order.
-5, k, -2
Let p = 9 + -27. Let c be (-2)/(-9) + (-50)/p. Sort 0, c, 2 in decreasing order.
c, 2, 0
Suppose 8 = 5*x - 7, 0 = 2*s + 5*x - 23. Let g = -15 + 15. Put s, g, 3 in decreasing order.
s, 3, g
Let x = 0 - -2. Let d(v) = 0*v - 9*v + 61 - 7*v - v**2. Let n be d(-19). Put 1, x, n in decreasing order.
n, x, 1
Let o(t) = -2*t**3 + 3*t**2 + 5*t + 2. Let a be o(-1). Suppose -3*c + 6*c - 3*d = 12, c - 1 = 4*d. Sort c, a, -32 in ascending order.
-32, a, c
Let c(r) = -r + 9. Let j be c(4). Suppose 3*b + 4*s = -6 - 2, -s = -5*b + 25. Sort 18, b, j in ascending order.
b, j, 18
Let i = -900 + 813. Sort i, -5, 1, -1 in descending order.
1, -1, -5, i
Let h be (-1 - (1 + 0)) + 8. Let k be -1 + 0 - 12/(-3). Sort h, 2, k, -2 in ascending order.
-2, 2, k, h
Let u = 5 + -3. Let h = 13 - 8. Let n(c) = -3*c + 19. Let x be n(h). Put u, -5, x in ascending order.
-5, u, x
Let y be -6*(-6)/(-3 + -3). Sort -1/2, y, 1/7, 2/15.
y, | {
"pile_set_name": "DM Mathematics"
} |
+ 10*v - 10*v. Calculate i*k(u) - 3*h(u).
-2*u**3
Let u(p) = p**2 - p - 2. Suppose 4*x = m - 4, -2*m = x - 6 + 25. Let z = 3 - 2. Let g(k) = k - z + 2*k**2 - 3*k - 5. Calculate m*u(f) + 3*g(f).
-2*f**2 + 2*f - 2
Let j(t) = 20 + 8*t**2 - 14*t**3 + 19*t**2 + 11*t**2 - 27*t**2. Let a(y) = -5*y**3 + 4*y**2 + 7. Give 11*a(z) - 4*j(z).
z**3 - 3
Let t(q) = -2*q - 7. Let a(x) = -x - 3. Suppose 4*m + 0*m + 12 = 0. Determine m*t(k) + 7*a(k).
-k
Let l(v) = 13*v. Suppose -10*t + 2*t - 24 = 0. Let z(h) = -7*h. Give t*l(d) - 5*z(d).
-4*d
Let p(d) = 4*d - 1. Suppose 5*f - 6 = -3*n, -1 = -4*n + f + 7. Suppose h + n*h = 6. Let z(c) = 3*c + 1 - 6*c - h*c. Determine -3*p(s) - 2*z(s).
-2*s + 1
Let g(j) = -j**3 - 2*j + 2. Let r = -6 - -11. Suppose 3*b = -r*s + 11, -2*b + 8 = 3*s + s. Let n(t) = 2*t**3 + 5*t - 5. Give b*n(d) + 5*g(d).
-d**3
Let x(k) = -23*k + 7. Let a(g) = 11*g - 4. Give -5*a(y) - 3*x(y).
14*y - 1
Let n(l) be the third derivative of -l**4/12 - 7*l**2. Let h(p) = 2*p + 1. Determine 2*h(q) + 3*n(q).
-2*q + 2
Let b(w) = w**2 - 4. Let k(t) = -t**2 + 2*t + 5. Let a(i) = -i**2 + 3*i + 6. Let d(j) = -2*a(j) + 3*k(j). Give -5*b(q) - 6*d(q).
q**2 + 2
Let o(a) = -a - 19. Let l be o(-10). Let r(i) = -5*i + i + 0*i. Let z(m) = 17*m. What is l*r(s) - 2*z(s)?
2*s
Let z(d) = -70*d + 2*d**2 - d**2 + 0 + 71*d - 1. Let w(o) = 11*o**2 + 6*o - 6. What is w(u) - 6*z(u)?
5*u**2
Let r(a) = 1. Let c(k) = -2*k**2 + 2. Give -2*c(u) + 4*r(u).
4*u**2
Let f(d) = 4*d + 6. Let x(w) = 13*w + 19. Determine 7*f(l) - 2*x(l).
2*l + 4
Let z(v) be the third derivative of -4*v**5/15 - 7*v**4/24 + v**3/2 + 8*v**2. Let c(m) = 11*m**2 + 5*m - 2. Determine -7*c(f) - 5*z(f).
3*f**2 - 1
Let g = -58 - -61. Let a = 12 - 8. Let n(t) = -t**3 + 2*t**2 - 3*t. Let q(o) = o**3 - 2*o**2 + 4*o. What is a*n(j) + g*q(j)?
-j**3 + 2*j**2
Suppose u - 1 = 1. Let l(p) = -u + 0*p - p + 3*p. Let o(n) = -2*n - 1. Let h(i) = 5*i + 2. Let a(m) = 3*h(m) + 7*o(m). Give -5*a(q) + 3*l(q).
q - 1
Let q(u) = 11*u**3 - 14*u**2 + 11. Let g(b) = 4*b**3 - 5*b**2 + 4. Let d = -35 - -32. Determine d*q(y) + 8*g(y).
-y**3 + 2*y**2 - 1
Let r(b) = -11*b**2 - 15*b - 1 + 7*b**2 - 2. Let d(z) = -4*z**2 - 15*z - 4. Let s(m) = 3*d(m) - 4*r(m). Let j(f) = f**2 + 4*f. Calculate 22*j(y) - 6*s(y).
-2*y**2 - 2*y
Let l(a) = a + 2. Let k(q) = -2*q - 6. Suppose -31 = -5*y - 16. Calculate y*k(w) + 8*l(w).
2*w - 2
Let k(w) be the second derivative of 5*w**4/12 + 5*w**3/6 + 9*w**2/2 - 19*w. Let o(g) = 3 - 2 - 3 - g - g**2. Suppose 5*m - 27 = 2*m. Calculate m*o(a) + 2*k(a).
a**2 + a
Let g(b) = -b**3 - 3. Let t(s) = -2*s**3 - 5. Suppose -3*c + 8 = -1. Give c*t(y) - 5*g(y).
-y**3
Let g(k) = 4*k**3 - 6*k**2 + 4*k - 6. Suppose 5*m - 3*m - 4*w = 10, 3*w + 9 = 2*m. Let j(u) = -3 + 2*u + 4 - u**m + 0*u**3 - 3*u + u**2. Give g(d) + 6*j(d).
-2*d**3 - 2*d
Let f(q) = 2*q - 8. Let r(g) = g - 1. Calculate f(i) - 3*r(i).
-i - 5
Suppose 0*p + 6 = -3*p. Let n(r) = 2 - 2 - r. Let v(x) = 1 + 6*x - 8*x - x + 2*x. Calculate p*v(g) + 4*n(g).
-2*g - 2
Let n(s) = -3*s + 6. Suppose 2*q + 0*h + 4*h + 8 = 0, -3*q = 3*h - 3. Let y(k) = -1 - 1 - 5 + 0 + 4*k. Calculate q*n(w) + 5*y(w).
2*w + 1
Let u(x) = 17*x - 5. Let m(w) = -84*w + 26. What is -2*m(v) - 11*u(v)?
-19*v + 3
Let m(h) = 2. Let r(p) be the third derivative of p**4/12 - p**3/3 - 4*p**2. Let d(j) = 2*m(j) + 2*r(j). Let l(f) = 23*f. What is -34*d(k) + 6*l(k)?
2*k
Let j(o) = -2*o**2. Let p be (2/(-4))/((-2)/(-12)). Let g = 0 + 2. Let h(b) = -b**g - 2*b + 2*b. Give p*j(r) + 5*h(r).
r**2
Let s(q) = 11*q**2 - 5*q - 2. Let j(c) = c**2 - c. Let f(n) = -4*j(n) + s(n). Let m(b) = b + 2 - 8*b**2 + 5 + 2 - 7. Determine -6*f(i) - 5*m(i).
-2*i**2 + i + 2
Let x(y) = 10*y**2 - 7*y + 7. Let g(s) = -s**2 + s - 1. Calculate -28*g(t) - 4*x(t).
-12*t**2
Let l(n) = n**3 - n**2 - n + 1. Let p = -1 - 0. Let x(r) = -r**2. Let z(u) = 4*u**3 + 3. Let a(f) = 2*x(f) + z(f). Let q = -1 + 3. Give p*a(g) + q*l(g).
-2*g**3 - 2*g - 1
Let n(f) = 2*f - 10. Let m(h) = 1. Calculate 8*m(d) + n(d).
2*d - 2
Let l(x) = 3. Suppose 15*h = 32 - 2. Let a(u) = -u**2 - 2. What is h*l(w) + 3*a(w)?
-3*w**2
Let u(y) = 2*y - 10. Let l(g) = 1. Let t(b) = 3*l(b) + u(b). Let z(i) = -3*i + 13. Give -7*t(s) - 4*z(s).
-2*s - 3
Let x(w) = -1. Let o(y) = 2*y + 2. Give -o(l) - x(l).
-2*l - 1
Let b(p) = -3*p**3 - p**2 + 2. Let o(r) = 2 + 3 - 7*r**3 - 2*r**2 + 0. Calculate 5*b(l) - 2*o(l).
-l**3 - l**2
Let b(o) = -6*o + 2. Let m be -1*2/((-4)/34). Suppose 0 = 3*i - 2 + m. Let t(n) be the second derivative of -7*n**3/6 + n**2 - 2*n. Calculate i*b(f) + 4*t(f).
2*f - 2
Let t be 3 + (-6)/(-3)*1. Let u(y) = -1 + y**2 - 2 - 2*y + t*y. Let i(p) = -p + 1. Suppose g = 3*f - f + 6, f - 19 = -5*g. Determine f*u(r) - 3*i(r).
-r**2
Let l(b) = -4*b. Let n(j) = 19*j - 13. Let s(g) = 3*g - 2. Let f(u) = 6*n(u) - 39*s(u). Let v = 20 - 22. Give v*l(i) + 3*f(i).
-i
Let f(k) = -1. Let s(h) = -2*h - 2. Determine 4*f(v) + s(v).
-2*v - 6
Let s(v) = 13*v + 4. Let x(i) = 6*i + 2. Calculate 2*s(b) - 5*x(b).
-4*b - 2
Let t(r) = -5*r**3 + 6*r + 6. Let o = 52 - 59. Let s = 4 + -10. Let i(n) = 6*n**3 - 7*n - 7. Determine o*t(q) + s*i(q).
-q**3
Let n(a) = -4 + 22*a - 3 - 3. Let t(p) = 7*p - 3. Let v = -8 + 13. Calculate v*n(d) - 16*t(d).
-2*d - 2
Let p(c) = -2*c**3 + 9*c**2 + 9*c - 5. Let z(y) be the first derivative of 4/3*y**3 - 2*y - 1/4*y**4 - 3 + 2*y**2. Give 4*p(u) - 9*z(u).
u**3 - 2
Let s(o) = 11*o**2 - 9*o + 6. Let j(r) = 4*r**2 - 3*r + 2. Let h(z) = 2*z**3 - z**2 - 4. Let x be h(2). Give x*j(p) - 3*s(p).
-p**2 + 3*p - 2
Let s(u) be the second derivative of u**5/5 + u**4/3 - u**2/2 - 65*u + 1. Let q(t) = 13*t**3 + 13*t**2 - 4. What is 2*q(w) - 7*s(w)?
-2*w**3 - 2*w**2 - 1
Let d(z) be the first derivative of -z**2 - z - 64. Let v(n) = -3*n - 2. What is 5*d(a) - 4*v(a)?
2*a + 3
Let c be (4/(0 + 2))/2. Let s(u) = -4*u**3 - 8*u**2 - 6. Let h(q) = q**3 + q**2 + 1. Calculate c*s(f) + 6*h(f).
2*f**3 - 2*f**2
Let h(l) = l**3 + 4*l**2 + 5*l + 4. Let s be h(-3). Let j(d) = d. Let a(i) = i**2 + 5*i. What is s*a(w) + 10*j(w)?
-2*w**2
Let q(a) = a**2 + a - 1. Let t(p) = 2*p**3 - p**2 - p + 12. Calculate q(c) + t(c).
2*c**3 + 11
Suppose 3*p = -4*w + 20, -8*w + 3*w = -5*p - 25. Let m(d) = 2*d**3 - d**2 - 2. Let x(v) = 3*v**3 - v**2 - 3. Determine w*x(j) - 8*m(j).
-j**3 + 3*j**2 + 1
Let p(o) = 10*o + 5. Let a(w) = 11*w + 4. Calculate 3*a(q) - 2*p(q).
13*q + 2
Let i(n) = 2*n**2 + 4*n - 7. Let a(f) = -f**2 - 4*f + 6. Let m(l) = 3*a(l) + 2*i(l). Let h(q) = 6*q**2 - 27*q + 27. What is -4*h(b) + 27*m(b)?
3*b**2
Let t(z) = -z**2 - 4*z - 4. Let q(r) = -2*r**2 - 7*r - 7. Let k = -16 - -20. Determine k*q(d) - 7*t(d).
-d**2
Let b(r) = -r**2 + 4*r - 1. Let y be b(2). Suppose y*c - 10 = 4*l - 1, 2*l + 11 = -5*c. Let h(j) = 1. Let k(n) = -3*n - n + 3*n + 4. Calculate c*k(x) + 4*h(x).
x
Let q(o) be the second derivative of o**3/2 - 5*o**2/2 - 4*o. Let n(c) = -c + 2. Determine 15*n(g) + 6*q(g).
3*g
Let y(j) be the second derivative of j + 0 + 7/2*j**2 + 8/3*j**3. Let h(t) = -5*t - 2. Give -7*h(u) - 2*y(u).
3*u
Let j(y) = -5*y + 1. Let t(p) = -p + 1. What is j(a) - 6*t(a)?
a - 5
Let s(q) = 8*q - 4. Suppose -2*d = -4 + 2. Let o(k) = k - 1. Give d*s(w) - 6*o(w).
2*w + 2
Suppose 0 = 8*z - 4*z + 8. Let t(i) = -3 - 2 + 1 - 1 - 6*i. Let b(c) = c + 1. Calculate z*t(k) - 11*b(k).
k - 1
Let n(c) = -c**2 + c - 1. Let p(j) be the first derivative of -4*j**3/3 + 5*j**2/2 - 5*j - 18. Determine -5*n(q) + p(q).
q**2
Let v(m) = -m**3 + m - 1. Let f(z) = -6*z**3 - 9*z + 9. Determine f(u) + 9*v(u).
-15*u**3
Let k(w) = 23*w**2 + 8. Let z(l) = -8*l**2 - 3. Give -3*k(b) - 8*z(b).
-5*b**2
Let f(c) = c - 1. Let k(j) = 6*j - 5. Calculate 5*f(o) - k(o).
-o
Let a(n) = n - 1. Let l(q) = -6*q + 16. What is -4*a(m) - l(m)?
2*m - 12
Let y(h) = 4*h**2 - 3*h + 9. Let l(t) = -3 + 4*t + 4 - 5*t. Let n = -1 - 0. Let s(i) = n*y(i) + 3*l(i). Let q(r) = -5*r**2 - 7. Calculate -5*q(u) + 6*s(u).
u**2 - 1
Let o(c) = c**2 - c + 1. Let s(w) = -w**2 + 2*w - 2. Suppose -11 = 4*i - 23. Determine i*s(t) + 6*o(t).
3*t**2
Let s be ((-2)/4)/((-19)/342). Let j(k) = -6*k**2 + 2*k + 6. Let m(u) = -11*u**2 + 4*u + 17 - 4 - 2*u**2. Calculate s*j(x) - 4*m(x).
-2*x**2 + 2*x + 2
Let s(j) = -3*j**3 + 4*j**2 + 5*j - 5. Let g(p) = -p**3 + 2*p**2 + 2*p - 2. What is 5*g(k) - 2*s(k)?
k* | {
"pile_set_name": "DM Mathematics"
} |
g + 3*l - 11 = 0, -2*g + l - 3 = y for g.
-5
Suppose 0 = -7*t + 2*t + 15. Let x be (35/(-15))/((-1)/12). Suppose 7*v + 2*k = 2*v + 58, -4*v + 3*k = -x. Solve t*y + 28 = 4*q, -4*q + 2*y + 14 = -v for q.
4
Suppose -19*h + 17*h = 14. Let w(n) = -n - 6. Let i be w(h). Solve 2*t + i = -j - 0*t, 2*t - 11 = -5*j for j.
3
Let s be (-11)/(-2 + (0 - -1)). Suppose 21*k - 18*k + 1 = -2*r, r + 3*k = -5. Solve 3*j = t + s, -2*t = r*j - 0*t - 28 for j.
5
Let y(h) = h**2 - 8*h - 4. Suppose 0 = 12*c - 10*c - 18. Let d be y(c). Solve 4*i = -d*t - 2 + 7, 5*t = -i + 20 for i.
-5
Suppose 3*o + 4 = r, 23*o = 2*r + 28*o - 8. Solve -1 = r*h + 2*f + 3, -3*h - 3*f + 3 = 0 for h.
-3
Suppose -4*u + 2 = -22. Let b be 32/(-12)*u/(-8). Solve 7*n = 2*n + 3*d + 17, -d + 9 = b*n for n.
4
Let m(f) = 2*f**2 - 27*f + 91. Let t be m(8). Solve -5*r + t*r - 5 = y, 2*y + 10 = 2*r for r.
0
Let r = 56 + -52. Solve -2*h - 3*o - 14 = -o, -r*o = -3*h + 7 for h.
-3
Let r be 5 + 0 - (0 + 0). Let u = 88 - 80. Suppose 2*j - 4*m = -u, -4*m + 7*m - 6 = -4*j. Solve j*z = -5*l + 5*z - r, 3*l = -3*z + 27 for l.
4
Let d(x) = 2*x + 22. Let f(o) = o**3 - 3*o**2 - 4*o + 2. Let c be f(3). Let p be d(c). Solve p*k = 2*l - 8, k - l = -2*l for k.
-2
Let c be ((-150)/(-45))/((-2)/(-3)). Solve -c*m - 2*n + 22 = 0, -n + 0*n = -1 for m.
4
Let h be 9 - (10/3)/(2/3). Solve -7 = 3*f - 5*n, 5*f = 5*n - 1 - h for f.
1
Suppose -12 = 55*v - 452. Solve -f = 3*k - 8, -v*f = -11*f - 2*k + 17 for f.
5
Suppose 4*u + 597 = 5*f, 5*f = 7*u - 2*u + 745. Let r = -145 - u. Solve 3*l = s - 15, l + 2*s + 8 - r = 0 for l.
-5
Suppose -4*h + 2*x = -12 - 8, 4*h + x = 20. Solve 0 = -4*f - 3*p - 31, 0*f - 5 = -h*f + 5*p for f.
-4
Suppose -3*f = -4*r - 24 + 17, -5*r = 4*f - 30. Solve -2*j - 5*u = 0, -4*u - 3 = -j + r*j for j.
5
Let d be 3/(-4) + 55/4. Suppose d*u + 6 = 14*u. Suppose 3*g + u - 12 = 0. Solve 5*x + q = g*q - 10, 2*x - q + 1 = 0 for x.
-3
Suppose 0 = 3*f + 4*s + 6, 0*f - 5*f - 5*s - 5 = 0. Solve -2*w = -5*y + 6*y + 2, -w = f*y - 5 for y.
4
Suppose -5*y - 5*t - 40 = 0, 3*t + t = 3*y + 10. Let c be (4/y*12)/(-2). Solve c*w = -0*w + 4*g + 8, 4*g - 12 = 0 for w.
5
Let x(s) = 3*s - 24. Let y be x(11). Suppose -25 = 4*b - y*b. Let m = 17 - 12. Solve b*h = 2*h + m*j - 13, 0 = -2*h - 3*j + 23 for h.
4
Let g = 96 - 91. Suppose q - 6 = 7. Solve -i = -3*i - v, 3*i + q = g*v for i.
-1
Suppose -120 = -5*j + 2*t + 184, -5*t + 170 = 3*j. Let f = 64 - j. Solve 5*y = -3*k + f*k - 20, 3*y + 3*k + 12 = 0 for y.
-4
Let n = 40 - 35. Suppose -n*p + 34 = -3*a - a, -2*p = 5*a - 40. Solve 4*b - 2*d + 0*d - p = 0, -8 = -5*b - 2*d for b.
2
Let j be -2*(-3 + 0) + -2. Let k(i) = 50*i - 4695. Let a be k(94). Solve -j*p + 24 = 5*g, g + a*p - 6 = 3*p for g.
4
Suppose -11 = -5*p - 1. Let x be 44/16 - p/(-8). Suppose v + 5*a - 8 = -15, 2*v - 4*a - 14 = 0. Solve x*q + 2*h = v - 4, -4*q = 3*h + 1 for q.
-1
Let d = -61 + 61. Suppose 3*k = 5*n - 63, d*n - k + 59 = 5*n. Solve 11 = 5*v + 2*g, 5*g = -v + n + 4 for v.
1
Suppose -2*v = 2*v. Let m = 0 - v. Suppose 0 = -m*n - 3*n. Solve 0 = -2*a - p - 4, a + n*p + 11 = 4*p for a.
-3
Let t(u) = -u - 17. Let n be t(-22). Suppose 3*a = -2*a + 5*r + 75, -3*a + 51 = -n*r. Solve 4 = -4*f + a, 12 = 2*y + 2*f for y.
4
Let p be 14*(28/(-8) + 4). Suppose p*c = 4*c. Let g be c/(1 + 4 + -3). Solve g = -3*f - 4*x - 12, -6*x = -3*f - x + 15 for f.
0
Suppose 0 = 11*k - 16 - 17. Solve 2*c - k = 3*w, 4*w + 4 = c - 0*c for w.
-1
Suppose 2*v - 4 = v. Solve 3*r = -3*x - 6, v = 4*r + 20 for x.
2
Suppose 0 = 4*u, 3*c + 5*u - 5 - 4 = 0. Let a be (8/c)/((-4)/(-6)). Let o be -2 - (a + -14)/5. Solve 26 + 6 = 4*r - 4*y, -4*r - y + 12 = o for r.
4
Let f(b) be the third derivative of -b**6/120 - b**5/30 - b**4/24 - 5*b**3/3 - 9*b**2. Let y be f(-3). Solve -4*c - 2*h = 8, 2*c - y*h - 8 = -0*c for c.
0
Let y be (0 - (-3)/2)*(-16)/(-12). Suppose -1 = c - 3*d, d - y*d + 2 = 0. Solve -5*x = 3*s - 22, x + 20 = c*x + 3*s for x.
2
Suppose -41*s + 34*s = -14. Solve 5*o = s*f - 44 + 26, 0 = 4*f + 5*o - 6 for f.
4
Let k(n) = n**3 + 6*n**2 + 5*n + 3. Let v be k(-4). Suppose -89*o = -88*o - 5. Solve 0 = o*c - 2*b + 10, -2*b - b - v = 0 for c.
-4
Suppose -2*h - 2*z + 3*z + 17 = 0, 0 = -h - z + 1. Solve -q + 15 = 5*f, -h*f + 5*f - 1 = q for q.
-5
Let r = -44 - -22. Let p = r + 26. Solve 28 = 2*v - p*s, s + 17 = -2*v - 4*s for v.
4
Let y(c) = c**2 - 22*c + 45. Let j be y(2). Solve -x - j*d + 14 = -6, 0 = 3*d - 9 for x.
5
Let v(s) = -2*s + 9. Let w be v(3). Suppose 9 = -w*z + 6*z. Solve 0*r + 1 = -h - 2*r, -5*h + z*r = -21 for h.
3
Let r(d) = d - 26 + 2*d - 1. Let p be r(9). Let t(y) = y**3 + y**2 + 16. Let z be t(0). Solve -4*n - z = p, -4*n - 6 = 3*i - i for i.
5
Suppose 3*n - 4*y - 6 = -0*n, 0 = n + 3*y - 2. Solve 4*a - 12 = 5*p + 8, 3*a = n*p + 8 for p.
-4
Let s = -74 - -93. Suppose -55 = -s*c + 8*c. Let h be (0 + 1)*(2 - 0). Solve -2*b + 3*l + 10 = 0, -h*b + c*l + 10 = -0*l for b.
5
Let z = 33 - 16. Suppose 0 = 5*t + 2 - z. Suppose 0 = 4*l - 17 + 5. Solve 0 = 3*f + t*r - l, 4*r = 2*f - 3*f - 5 for f.
3
Let t(g) = g + 46. Let n be t(-19). Suppose 73 - n = 2*a. Suppose 5*r - a = 2. Solve -k + r = 0, -2*k + 24 = 2*m + 2*k for m.
2
Let c = -9 - -7. Let x = -14 - c. Let b = x + 30. Solve 5*p - 6 = 4*s, 3*s + 6*p = 3*p - b for s.
-4
Suppose 0 = 5*d - 9*d - 8. Let p be 0/(d + 4 - 0). Let g(j) = j - 1. Let t be g(4). Solve 0 = -x + t*q, -14 = 5*x - q - p*q for x.
-3
Suppose 2*s = m + 221, -3*m = 2*m + 5. Let v be 1/(-5) + 11/(s/332). Solve 2*b = -f + 6 + 2, 4*f + v = 5*b for f.
-2
Suppose -3*w - 4*u = -6*w + 22, 2*w - 9 = -3*u. Solve 5*g - 2*b = -1, 0*g - w = -3*g - b for g.
1
Suppose 0 = -2*j + 4*c + 24, 6 = j + 5*c + 22. Solve -j - 10 = -d - 3*b, 5*d = -3*b + 10 for d.
-1
Let w(j) = 3*j + 39. Let a(g) = -2*g - 19. Let z(x) = -5*a(x) - 2*w(x). Let n be z(-3). Solve 2*k = -4*l - 6, 21 = l - 0*l + n*k for l.
-4
Let h(o) = -3*o + 5. Let t(u) = u - 1. Let p(v) = h(v) + 2*t(v). Let g be p(0). Suppose -3*s - g = -9. Solve 15 = 5*n + s*f, 0*f = 4*n - 3*f + 11 for n.
1
Let w be (-99)/(-45) + -2 + (-9)/(-5). Solve 4*s - w*o + 14 = 0, 3*o + 5 + 4 = 0 for s.
-5
Let w be (-3)/(-1) - ((0 - -1) + -1). Solve 5*z = -w*l - 26, 5*l + 4 = z - 2 for l.
-2
Suppose -5*r + 21 = 1. Let p be (r - 2) + (-5 - -3). Suppose 0 = -3*k - 0*k + 9. Solve -l = k*g - 6*l + 8, -l + 1 = p for g.
-1
Suppose z - 4*q = -z - 24, -5*z = 2*q + 84. Let i = 17 + z. Let d = 3 - i. Solve -5*p + 3*h = 12, -p + 8 = 2*p + d*h for p.
0
Let c be 12*(7/(-4) + 4). Suppose x - 7 = -n, 9*x - c = 4*x - 3*n. Suppose x - 23 = -4*d. Solve -2*k - 2*s + 4*s = -10, d*s = -20 for k.
1
Suppose 7*r - 11*r = -4. Let s(t) = 3*t**2 + 4*t - 3. Let q be s(r). Solve q*i + 3*y - 3 = 0, -2*i = -y + 1 - 0 for i.
0
Let i = -1915 - -1920. Solve f = -i*a + 10, a - 7*f - 2 = -2*f for a.
2
Let t be ((-48)/(-2))/((-3)/6). Let k be (-5 + t/(-9))*15. Solve -k*x - 16 = 3*o, -2*o = 4*x + o + 11 for x.
-5
Let w = -567 - -569. Suppose -4*p - p = -15. Suppose -p*n + f + 19 = 0, 2*n - 7 = 4*f - 9*f. Solve 5*t + n = 3*g, 0 = -0*t - w*t for g.
2
Let a be (-20)/6*3/(-2). Let k be a + 3/(-3) + -1. Suppose -5*z = -12 - 8. Solve -4*x + w = 7, -k*x = -x - z*w + 14 for x.
-1
Let i be (10 + -13)/(2/(-2)). Suppose -2*s + 3 = i*o - 2*o, -4*s = 5*o - 15. Solve 3*n + 2*h + h = -6, 3*n - h + 2 = s for n.
-1
Let q(j) = -30*j**3 + j**2 + j. Let i be q(-1). Suppose f - 3*f = -6, 3*o + 5*f = i. Solve 3*h - 5*h = 4*s + 26, 3*s = -o*h - 30 for h.
-3
Suppose 0 = 159*o - 143*o - 336. Solve -p + 3*z + 7 = -0*p, 0 = 5*p - z - o for p.
4
Let h be (110/(-3))/((-4)/12). Suppose -r + 5*x + 10 = 48, 4*r + h = -x. Let m = r - -29. Solve 3*d = 5*i + m, 0 = i - 3*d + 2 + 3 for i.
1
Let c = -95 + 99. Solve 4*u + 15 = -3*m, c*u - 3*u = -5*m - 25 for u.
0
Let d(i) = 4*i**2 + 1. Let m be d(1). Suppose -39*y + 16 = -34*y + 3*v, 4*y - v = 23. Solve -h + y*x = m, -x + 12 = h + h for h.
5
Let t = -336 - -338. Solve 2*m + t*p = m + 1, -4*p = -8 for m.
-3
Let p(a) = 25*a - 66. Let u be p(3). Solve -5*x - 2 = 3*n + 5, -5*x - u = n for n.
1
Suppose 11 = -3*x + 4*n - 9*n, x + 5 = -2*n. Suppose c + 4 = 3*c. Let i = c + 18. Solve -2*s - i = 2*s - x*l, -2*s - 2*l = 10 for s.
-5
Suppose 6*p = -0*p - 30. Let j be (-7 - p)*(2 + -3). Solve -10 = -2*r - 2*z + 5*z, j*r - 4*z - 10 = 0 for r.
5
Let d(w | {
"pile_set_name": "DM Mathematics"
} |
30
Suppose 0 = 2*w + 2*p - 38, -3*w + 0*p + 55 = p. Calculate the remainder when 52 is divided by w.
16
Let v = -613 - -863. Calculate the remainder when v is divided by 20.
10
Let h(z) = z**2 - z - 2. Let f be h(-2). Suppose -f*d + 8 = -0*d. Let l(t) = 3*t + 2. Calculate the remainder when 21 is divided by l(d).
5
Suppose 145 = 4*w + 3*q, -4*w + 5*q + 105 = -2*w. What is the remainder when 115 is divided by w?
35
Suppose k = 3*k. Suppose l - 4*l + 486 = k. Suppose 4*x = l - 46. What is the remainder when x is divided by 11?
7
Suppose 3*y + 0*y = -2*g + 263, 3*y = 3*g + 258. Let q = 32 + -25. Suppose 16*a = q*a + 198. Calculate the remainder when y is divided by a.
21
What is the remainder when 434 is divided by 47 - 24 - (2 + -8)?
28
Suppose -3*g = t + g - 61, 4*t = -g + 289. What is the remainder when t is divided by 4?
1
Let j be 10*(-1 - 1 - -4). Suppose -4*x - 5*f + 0*f + 60 = 0, -5*f + j = 0. Let w = x - 0. Calculate the remainder when 28 is divided by w.
8
Let n(a) = -3*a - 4. Let v be n(-3). Suppose 0 = v*p - 4*h + 35 + 21, -4*h = 5*p + 64. Let q = 20 + p. Calculate the remainder when q is divided by 5.
3
Calculate the remainder when (176/4)/(1/4) is divided by 20.
16
Suppose 645 = 3*s - 315. What is the remainder when s is divided by 41?
33
Let j(g) = g**2 - 3*g - 8. Let c = -4 + -3. Let x be j(c). Suppose 4*u + 2*w - 136 = 6*w, -x = -2*u + 4*w. What is the remainder when u is divided by 20?
17
Suppose -4*y + 328 = -2*y - t, -4*t = 2*y - 328. Calculate the remainder when y is divided by 21.
17
Suppose -8*v + 13*v - 275 = 0. Suppose 0 = 2*f - 12 - 0. Suppose k + v = f*k. Calculate the remainder when 32 is divided by k.
10
Suppose -3*q + u + 333 = 0, 2*u = -11*q + 15*q - 444. What is the remainder when q is divided by 34?
9
Let t(a) be the second derivative of a**3/6 + 7*a**2/2 + 2*a. Suppose 15 = 3*u - 0. Calculate the remainder when t(10) is divided by u.
2
Let o(v) = 6*v**2 - 3*v + 19. Calculate the remainder when 89 is divided by o(0).
13
Suppose -g = -4, u + 2*u + 4 = -2*g. Calculate the remainder when 64 is divided by -3 + (3 - 1) - (u - 8).
9
Let l = 127 - -40. Suppose 3*a - 4*d = 84, -9*a - 2*d - 30 = -10*a. What is the remainder when l is divided by a?
23
Calculate the remainder when (1/1)/(8/1360) is divided by 35.
30
Let n(c) = c**3 + 8*c**2 - 4*c - 10. Suppose -85*p + 113*p - 1736 = 0. Calculate the remainder when p is divided by n(-8).
18
Suppose -2*l + 41 = -2*p + 123, -190 = -5*p + 2*l. Calculate the remainder when 142 is divided by p.
34
Let j = -30 - 25. Let k = 78 + j. What is the remainder when k is divided by 8?
7
Let g = 25 + -5. Suppose -8*t + 3*t = -g. Suppose -t*f + 2*o = -o - 104, -2*f + 66 = -5*o. What is the remainder when 45 is divided by f?
22
Let y(z) = -8 - 3 - z - z. What is the remainder when y(-18) is divided by 10?
5
Let y be 112/(-5)*(-8 + 3). Suppose -y - 60 = -4*c. What is the remainder when 83 is divided by c?
40
Let g = -69 - -66. Suppose a + 1 = 30. What is the remainder when a is divided by (48/20 + g)/((-1)/10)?
5
Let v(l) = -l - 7. Suppose -34 = 4*i + 10. What is the remainder when v(i) is divided by 4?
0
Let d = 0 + 0. Suppose -4*t + 10*t - 24 = d. What is the remainder when 33 is divided by t?
1
Suppose 5*i - 3*o = -8*o + 210, i + 2*o - 41 = 0. What is the remainder when 84 is divided by i?
41
Let x = -468 - -490. Calculate the remainder when 190 is divided by x.
14
Let l = 109 - 105. Suppose -c - 35 = -5*d + 17, l*d = -4*c + 56. Let o(y) = -y**3 - 2*y**2 + 3*y. Calculate the remainder when o(-4) is divided by d.
9
Let y = 21 + -12. Suppose 0*d - 4*d + u = -5, 0 = 4*u + 20. Calculate the remainder when y is divided by 1 - d - (7 + -10).
1
Calculate the remainder when 6 + 289 + -3 + (9 - 15) is divided by 9.
7
Let d(y) = y - 12. Let g be d(6). Let c = g + 13. Suppose -3*l + p = -83, 2*p - c = 1. What is the remainder when l is divided by 10?
9
Let d(s) = s**2 - 3*s - 3. Let n = -13 - -15. Suppose -11 - 1 = -n*j. What is the remainder when 44 is divided by d(j)?
14
Suppose 0 = -12*s + 10*s + 12. Calculate the remainder when s/(-15) - 644/(-10) is divided by (-94)/(-4) + (-42)/28.
20
Let y(o) = o**3 + o**2 - 2*o + 126. Let h be y(0). Suppose -r + 144 = r. Let p = h - r. Calculate the remainder when p is divided by 11.
10
Suppose -4*t - 12 = 0, -k - 3*t - 126 = -2*k. Calculate the remainder when k is divided by 40.
37
Suppose 5*z + 49 = 159. Calculate the remainder when -128*((-27)/6 + (-4 - -8)) is divided by z.
20
Suppose 3*d - 3*b + 0*b = 60, -3*d = -2*b - 55. Suppose 2*l - 4*y = -7*y + 6, 3*l - 19 = -2*y. Let x = l + 49. Calculate the remainder when x is divided by d.
13
Suppose g = -g + 98. Suppose x - g = 32. Calculate the remainder when x is divided by 14.
11
Suppose -r = 3*r - 104. Suppose k + 0*k = r. Let a = 284 - 210. Calculate the remainder when a is divided by k.
22
Let q(f) = -4*f + 14. Let x be q(3). Suppose 0 = -6*t + t - x*w + 122, -2*w + 2 = 0. What is the remainder when 119 is divided by t?
23
Calculate the remainder when 104 is divided by ((-595)/(-14))/(-5)*-6.
2
Let q = -95 - -112. Let h = 2 - -8. What is the remainder when q is divided by h?
7
Calculate the remainder when 13 is divided by 1/((-24)/30 - (2 - 3)).
3
Let n = 619 - 582. What is the remainder when 71 is divided by n?
34
Let f(s) = s**3 - 2*s**2 + 2*s - 1. Suppose -38*x - 44 = -43*x - 2*c, 5*x + c - 42 = 0. What is the remainder when f(3) is divided by x?
6
What is the remainder when 47 is divided by (-230)/(-8) - 17/(-68)?
18
What is the remainder when 0 + (16/12)/((-7)/(-1155)) is divided by 60?
40
Let c(d) = -d**3 - 8*d**2 - 27*d - 121. Calculate the remainder when 218 is divided by c(-7).
9
Let b = 246 - 189. What is the remainder when 340 is divided by b?
55
Let n(v) = -v**3 - 2*v**2 - v + 55. Let l be (-1)/(-5 - (2 - 6)) - 1. What is the remainder when n(l) is divided by 15?
10
Let u = -1998 + 2147. Let v(r) = 4*r**3 + r**2 + r. Calculate the remainder when u is divided by v(2).
35
Suppose -b - 4 + 1 = 0. Let d be -6*b/(-6)*-13. Suppose -d = 6*w - 141. Calculate the remainder when 65 is divided by w.
14
Suppose -j - 5*w = -5, -5*j - 6*w = -4*w - 25. Suppose 39 = k - j. Let n = -20 + k. Calculate the remainder when n is divided by 14.
10
Calculate the remainder when 433 is divided by 10 + 1568/(-154) - 1234/(-11).
97
Let p = -387 - -564. Suppose -7*k + 2*k = -j - p, 0 = -k - 3*j + 29. Calculate the remainder when 101 is divided by k.
31
Let j(d) = 41*d + 10. Let f(h) = -h**2 + 7*h - 2. Let v be f(6). What is the remainder when j(v) is divided by 35?
34
Suppose 11*y = 12*y - 4. Suppose -4 = 2*j + 5*m + 9, -y*j - 3*m = -9. Suppose j*t - 160 = t. Calculate the remainder when t is divided by 11.
10
What is the remainder when 28 - (9 + -11)*(-3)/(-2) is divided by 8?
7
Suppose -c = -m - 0*c + 12, -15 = -3*c. Suppose -4*x = -4*a + 52, -x - 37 = -3*a - 2. What is the remainder when m is divided by a?
6
Suppose -2 = z - 7. Suppose 20 = z*t - 0*t. Suppose t*m - 210 = -m. Calculate the remainder when m is divided by 15.
12
Let u(z) = 13*z - 36. What is the remainder when 375 is divided by u(6)?
39
Let y = 9 - 22. Let l = y + 51. Let c = -21 + l. Calculate the remainder when 32 is divided by c.
15
What is the remainder when 1/(-5 + (-2076)/(-414)) is divided by 40?
29
Suppose -2*f + 5*f - 3 = 0. Calculate the remainder when 106 is divided by (-53)/(-2) + f/2.
25
Let b = 69 - 56. Calculate the remainder when b is divided by 8.
5
Suppose -5*c + 2*z = -4*c - 149, -2*c + 318 = z. Calculate the remainder when c is divided by 36.
13
Let x = -814 + 887. Calculate the remainder when x is divided by 43.
30
Let l(b) = -b**2 - 13*b + 159. Suppose 2*a + 3*p = 3, 3*p - 15 = -0*p. What is the remainder when 208/6 - (-4)/a is divided by l(7)?
15
Suppose d + 6 + 11 = 0. Let k = d + 28. Let c = 36 + -17. Calculate the remainder when c is divided by k.
8
Suppose -3*u = 3*u + 576. Let x = u - -135. Suppose -2*k = k - x. What is the remainder when k is divided by 7?
6
Suppose 0 = 20*o - 26*o + 204. Let a = o - 11. What is the remainder when 66 is divided by a?
20
Let z = -19 - -10. Let r be 9/(z/(-2)) + 2. Suppose -r*t = -21 - 31. What is the remainder when 36 is divided by t?
10
Let q(f) = -5*f + 11. Let c be q(-5). Calculate the | {
"pile_set_name": "DM Mathematics"
} |
**2 + d*u and give f.
2
Express -3*r**3 + 3*r**4 - 6 + 2 - 3 + 16*r**2 + 2 - 20*r**2 as x*r**4 + c*r + t + f*r**3 + s*r**2 and give c.
0
Express 4 + 19*h**3 + h**4 - 7 - 21*h**3 + 4*h**2 as w*h + f*h**3 + l*h**2 + c + q*h**4 and give q.
1
Rearrange 2 + 52*j**2 - 11*j**2 + 29*j**2 - 5*j**2 - 3 to the form h*j + a + o*j**2 and give h.
0
Rearrange 3*r - 5 + 16*r - 4*r + 43*r to the form k + d*r and give k.
-5
Express 8*p**3 - 36*p**2 + 57*p + 41*p**2 - 57*p + 3 as w*p**2 + o*p + g*p**3 + m and give w.
5
Rearrange 132*u**4 + 140*u**4 - 82*u**4 + (-u**4 - 3*u**4 + 2*u**4)*(-3 + 3 - 2) to the form l*u**3 + s*u + j*u**2 + r*u**4 + z and give l.
0
Express -388 - 286 - b - 94 - 229 + 79 in the form x*b + o and give o.
-918
Rearrange (-2*m + m - m + 3*m - 4*m - m + (3*m - 7*m + 8*m)*(-3 + 3 + 2) - m - 7 + 7)*(2*m + 5*m**2 - 2*m) to q*m**3 + x + c*m + l*m**2 and give q.
15
Rearrange (-1 + 0 + 3)*(0*u + 2*u**2 + 0*u)*((-50 + 19 + 20)*(1 + 0 - 2) + 0 + 0 + 2) to c*u + g + w*u**2 and give g.
0
Rearrange ((p - 2*p - p)*(3 - 4 + 3) - p + p - p)*(-26*p - 14*p + 7*p)*(14 - 11 - 26) to i*p + u + z*p**2 and give z.
-3795
Express 92*c**2 + 1 - 38*c**2 + 57*c**2 + c in the form n*c + h*c**2 + l and give h.
111
Express -203*q + 422 + 421 - 843 in the form w + a*q and give a.
-203
Express ((5*d**2 + 5 - 5)*(-2*d + 0 + 0) + 0*d**3 + 5*d**3 - 2*d**3 + 2*d)*(-4*d + 5*d + 0*d) in the form q*d**3 + p + a*d**4 + x*d + c*d**2 and give q.
0
Express -14*l + 136 - 22 - 18*l + 33*l in the form q*l + b and give q.
1
Express 11 + 23*m - 23*m + 2*m**3 + 36 + 5*m**3 in the form z*m**3 + k*m**2 + l*m + j and give j.
47
Rearrange 255*t - 7 + 0*t**2 + 0*t**2 - 254*t - t**3 + 4*t**3 to the form p + s*t**2 + u*t + f*t**3 and give u.
1
Rearrange (0 - s + 0)*(14 + 4*s - 14 + (-1 + 4 - 1)*(3 - 3 + 2*s) - 3*s + 4*s + s + 0 - 2*s + 0) to q + r*s**2 + m*s and give r.
-8
Rearrange -31 + 12*t + 6 + 46 to l*t + k and give l.
12
Rearrange 14 - 2*a + 3*a**2 + 10 - 24 + 0*a**2 to k*a + n + m*a**2 and give n.
0
Rearrange 10*p - 2*p + 94*p to s + t*p and give t.
102
Express 6285 - 6292 - 4*u - 61*u in the form j*u + n and give j.
-65
Express -1684368*z**2 - 100*z**3 + 4*z + 1684368*z**2 in the form c*z**3 + y*z + a*z**2 + p and give c.
-100
Rearrange -v**2 - 6*v**4 + 14*v**4 + 4*v - 3*v**4 + v**4 - v**3 + 1 - 4*v**4 to the form n*v**2 + o + k*v**3 + w*v**4 + s*v and give o.
1
Rearrange (4*u - 3*u + 0*u)*(7*u**3 - 7*u**3 - 3*u**3) - 16*u**4 - 2*u**4 + 6*u**4 to the form f*u**2 + h*u + d*u**3 + o*u**4 + z and give o.
-15
Express 370*x**2 + 225*x - 115*x - 112*x in the form t*x**2 + z + g*x and give t.
370
Express 78*o**2 - 229*o**2 - 177*o**2 as i + a*o + n*o**2 and give n.
-328
Rearrange (3*z - z - 4*z)*(1573*z - 407*z - 188*z) - z**2 + z**2 - 3*z**2 to the form y*z + l + j*z**2 and give y.
0
Express -6 - 4 - 20 - 1 + 3*y**4 - 3*y**3 in the form z*y**3 + v*y**2 + d*y + a + h*y**4 and give a.
-31
Express 6*p - 226 + 227 - 20*p - 58*p**2 in the form m + v*p**2 + a*p and give v.
-58
Rearrange (2*s - 2*s + s)*(3*s + s - 3*s) - 10*s - 41*s - 14*s - 2*s**2 to the form r + l*s**2 + x*s and give l.
-1
Express -32*x + 34*x - 10 + 29 + x + x - x + (x + 0*x - 4*x)*(3 + 1 + 0) as h + j*x and give h.
19
Rearrange (28 - 6 - 3)*(-3 + p + 3)*(2 + p - 2) to the form q + v*p**2 + w*p and give v.
19
Express l + 11 - 55*l**2 - l + 51*l**2 in the form h + v*l**2 + p*l and give h.
11
Express 1112 - 1112 - f + 67*f**2 in the form x*f + d*f**2 + o and give x.
-1
Rearrange -5*l**2 + 2*l**2 + 2*l**2 + 1094 + 649 to the form r*l + i*l**2 + o and give i.
-1
Rearrange -5 - 11 + 17 - 17*x**2 + 25*x**2 + 2*x to the form o*x**2 + y*x + p and give p.
1
Rearrange -2 - 22*u**2 - 122*u**3 + 41*u**2 - 18*u**2 to the form x*u**2 + i*u**3 + n*u + g and give g.
-2
Express (43 - 2*j**3 - 43)*(2 - 2 - 2) + (-33 + 33 - 14*j)*(2*j**2 - 5*j**2 + 4*j**2) in the form t*j**3 + w + m*j + q*j**2 and give t.
-10
Express -t + 18*t**3 - 11*t - 9*t + 2*t**2 - 2 + 3*t**4 + 23*t as n*t**4 + k*t**3 + z*t + r*t**2 + w and give k.
18
Express (-13 + 24*v - 11*v - 14*v + (0*v + v + 0*v)*(-5 - 4 + 3))*(-5*v - v + 3*v) in the form k*v**2 + p + i*v and give i.
39
Rearrange 3*l + 1652*l**2 - 3*l + l**3 + 4 + 2*l - 1616*l**2 to w + q*l**2 + m*l**3 + g*l and give w.
4
Express 33*q - 578*q**4 + 40*q**3 - 35*q - 42*q**3 as w*q**4 + z*q + b*q**3 + i*q**2 + a and give z.
-2
Express (-90 - 740 - 188)*(6*s**2 - s**2 - 4*s**2) in the form y*s**2 + a + b*s and give y.
-1018
Rearrange (r + 3 - 4*r + 0*r)*(0 + 0 - 2)*(-r + 0*r + 0*r + 3) - 180*r + 180*r - 7*r**2 to the form j + b*r + l*r**2 and give b.
24
Express -2 + 35682*r**2 - 3*r**3 - 3*r - 4*r - 35682*r**2 in the form n*r**2 + v*r + l + p*r**3 and give p.
-3
Express 4*h**4 - h**2 + 0*h**2 - 28*h**4 + 18*h**4 - 5*h**3 - h + 4*h as g + m*h + s*h**3 + k*h**2 + y*h**4 and give y.
-6
Rearrange (200*v + 11*v + 40*v)*(-2*v + v - v) + 2*v**2 + 2*v + 3*v**2 - 3*v**2 to the form m + g*v + j*v**2 and give g.
2
Rearrange (-3625*f + 495*f + 64*f + 2)*(0*f + 0*f + 2*f**2) to the form s + m*f**3 + g*f + u*f**2 and give m.
-6132
Rearrange (3 - 2 - 3)*(0 + 0 + m) + (-5*m + 4*m + 0*m)*(34 + 21 - 329) to l + f*m and give l.
0
Rearrange -7 + 13*j**4 - 2*j + 10*j**2 + 10 - 12*j**2 + 2*j**3 to p*j**2 + s*j**3 + i + d*j**4 + g*j and give g.
-2
Express (18 - 2 - 3)*(-8*u**2 - 8*u**2 + 5*u**2) + (1 - 1 + u)*(-2*u - u + 5*u) in the form x*u + f*u**2 + o and give f.
-141
Rearrange -t + 2*t**4 + t + (t - 2*t - 4*t)*(-42*t**3 + 59*t**3 - 131*t**3) to the form s + w*t**2 + v*t**4 + r*t**3 + g*t and give v.
572
Rearrange -130*y**4 - 2 - 10*y**2 + 124*y**4 + 2*y + 17*y**2 - 2*y**3 to j*y**2 + u*y**3 + c*y + g + l*y**4 and give j.
7
Express (193033 - 2309*j - 738*j - 193033)*(2 - 3 - 1) as k*j + p and give k.
6094
Rearrange (0 + 0 + p)*(-p - 2*p + 2*p) - 56*p**2 - 47*p**2 + 36*p**2 to the form r*p**2 + c*p + v and give c.
0
Express 3*j - j - 60*j**4 + 58*j**4 - 11 in the form o*j**4 + g*j + n*j**3 + p + u*j**2 and give g.
2
Express -4 - 10 - 1 + g as q + n*g and give n.
1
Express (5 + 2*s - 5 + (-3 + 2 + 3)*(4 - 4 + s))*((-s - 3*s + 5*s)*(-8 - 3 + 1) - 2 + 2 + s - 12*s + 2*s - 30*s) as g*s**2 + c + i*s and give i.
0
Express 23*x**2 - 788 + 792 + 7*x**2 in the form t*x + l*x**2 + c and give c.
4
Express -11*o**4 + 61*o - 7*o**2 + 9*o**2 + 8*o**4 + 5*o**4 in the form n + w*o**4 + b*o**3 + d*o**2 + u*o and give u.
61
Express 14 + 14 + 12 - 49 - 69*l**2 + 8 as z*l**2 + d*l + i and give z.
-69
Express 9*n - 1022 - 1013 + 2015 in the form f*n + c and give c.
-20
Express -4*n**4 - 72*n**2 + 12*n - n**3 + 6*n**4 + 6*n**2 + 26*n**2 as y + z*n**4 + j*n + h*n**3 + o*n**2 and give h.
-1
Rearrange -386*x**2 - 6*x**3 - x + 377*x**2 + x to c + l*x + h*x**2 + w*x**3 and give h.
-9
Express -2536*s**4 + 3*s**3 + 2539*s**4 + 0 + 1 in the form o*s**3 + b*s + l + j*s**4 + r*s**2 and give l.
1
Express -11*v**2 + 5*v**2 + 1 - v**4 + 10*v**2 - 3*v as a*v**3 + n + y*v + m*v**2 + p*v**4 and give a.
0
Rearrange 1 - 95*v**2 + 5*v + 198*v**2 - 104*v**2 to y + z*v**2 + g*v and give g.
5
Express 36*y + 7*y**3 - 3*y**3 - 35*y + 2*y**3 + 81*y as u*y**3 + s + p*y**2 + r*y and give r.
82
Rearrange 2*r**2 + 0*r**2 + 2*r**2 + (-5*r + 2*r + 5*r)*(r - 5*r + 3*r) + 21*r - 12*r - 4*r**2 - 7*r to the form g*r + u + t*r**2 and give u.
0
Express -70*j**3 - 2*j**2 + j - 6*j + 1 - 4*j - 49*j**3 + 10*j as k*j**2 + v*j**3 + a*j + i and give k.
-2
Express 1 + 3*g**4 - 1 + (g**4 + 8*g**4 - 5*g**4)*(-3 + 0 + 5) - 2*g**2 + 2*g**4 + 2*g**2 in the form l*g + f*g**2 + w + t*g**4 + h*g**3 and give t.
13
Express -2*m - 2*m - 26*m**2 + 3 - 1 - m**3 + 24*m**4 + 27*m**2 in the form q*m**4 + y*m**3 + v + u*m**2 + f*m and give f.
-4
Rearrange -186*c**2 + 44*c**2 - 18*c**2 + 1 - 1 to the form j + h*c + d*c**2 and give d.
-160
Rearrange 105*q**2 - 1 + 25*q**2 + 0 to the form k + d*q + w*q**2 and give k.
-1
Express -97*x**2 + 10791 - 10791 in the form l + u*x**2 + m*x and give u.
-97
Express 305*o - 287*o - 177*o - 794*o in the form r*o + w and give r.
-953
Rearrange -1 + 12*j**3 + 1 - 4*j**4 - 9*j**3 + 27*j to the form o*j**4 + p*j + s*j**3 + m*j**2 + i and give p.
27
Rearrange (0 + 0 - 5 + (-2 + 0 + 0)*(-1 - 1 + 0) - 5 + 0 + 3 - 2 + 1 - 1)*((-3 + 2 + 2)*(-2*f + 3*f + 0*f) - 9*f - 18 + 18) to h + u*f and give u | {
"pile_set_name": "DM Mathematics"
} |
0000
Let n = -30817.7 + 32936.77. What is n rounded to the nearest ten?
2120
Let b = 0.0555 + -56.0555. Let f = 199 + -259.6. Let t = b - f. Round t to the nearest integer.
5
Let c = 327315.055 - 329174. Let s = -1852 - c. Let b = s - 7. What is b rounded to 3 dps?
-0.055
Let u be (-18)/8*16/6. Let y be u/12 + (-11)/2. Let h be (-7350000)/(-7)*(-40)/y. What is h rounded to the nearest 1000000?
7000000
Let s = 12362.8445 + -12359. Round s to 2 dps.
3.84
Let u = 3999 + -3976.355. Let a = -31.35 - u. Let f = 54 + a. What is f rounded to two dps?
0.01
Let q = 347.77985781 + -347.78. What is q rounded to six dps?
-0.000142
Let y = 553 + -7132. Let z = -2429 - y. Suppose 0 = -7*m + 12*m - z. Round m to the nearest 100.
800
Suppose v = -4*s + 2*v + 3098804, 0 = -s + v + 774704. What is s rounded to the nearest ten thousand?
770000
Let t = -17549.803 + 17550. Let c = -0.235 + -0.073. Let j = t + c. What is j rounded to 2 decimal places?
-0.11
Let g = 3341 + -3341.00000008432. Round g to 7 decimal places.
-0.0000001
Let c = -2.6123 - -0.8853. Round c to the nearest integer.
-2
Let i(b) = -b**3 - 5*b + 81. Let t be i(0). Suppose 4*y - 3 = 13. Suppose p + y*z - t = 0, -z + 259 = 4*p + 2*z. Round p to the nearest 10.
60
Let t(w) = 36393*w - 1618. Let y be t(6). What is y rounded to the nearest 10000?
220000
Let l = 35.15 + 844.35. What is l rounded to the nearest 10?
880
Let l = 186.6 - 204. Let h = 11.4 - l. Let p = h + -51. What is p rounded to the nearest 10?
-20
Let y = 261 + -263. Let r be (-6675)/6 + -3*y/4. Round r to the nearest 100.
-1100
Let w = -0.007239758 - 41.992755792. Let f = -42 - w. Round f to seven decimal places.
-0.0000045
Let h = 35.102 - 6.102. Let m = 24.52317 - -4.47686. Let n = h - m. What is n rounded to four decimal places?
0
Let n be (3644/(-36)*-3)/((-1)/9). Let y = n - 537. What is y rounded to the nearest 1000?
-3000
Let x = 36120508 - 36091847.3567. Let h = x - 28469.63. Let p = 191 - h. What is p rounded to three dps?
-0.013
Let t = -11253506.4419 - -11253338.441898766. Let q = -168 - t. What is q rounded to seven dps?
0.0000012
Let r = 177 + -243. Let f be 29821/r - (-1)/(-18)*3. Round f to the nearest one hundred.
-500
Let u = 111 - -1420. Let r = 995014465.9999361 + -995012935. Let d = u - r. Round d to five decimal places.
0.00006
Let c(f) = -4157*f**3 + 69*f**2 - 10*f - 72. Let g be c(36). Round g to the nearest one million.
-194000000
Let u = -49 - -49. Suppose -4*t - a - 62538 = 0, u = -a + 2. Let p = -6135 - t. What is p rounded to the nearest 1000?
10000
Let f = -454789.0815583 + 454789. Let c = -0.0815 - f. Round c to 5 dps.
0.00006
Let i = 0.0307075 - 0.136702. Let n = 0.106 + i. Round n to seven dps.
0.0000055
Let r = 0.21952 + -0.06386. What is r rounded to three decimal places?
0.156
Suppose 0 = -4*p + 2*b + 13514, 0 = -3*p + 2*b + 6059 + 4078. Suppose 3*d - p = 1456. Suppose 2*x = 4*t + x - d, 2*x - 1626 = -4*t. Round t to the nearest ten.
400
Let y(r) = 70999*r**2 + 7*r + 30. Let b = -231 - -241. Let p be y(b). What is p rounded to the nearest 1000000?
7000000
Let s(v) = 33*v**2 - 4*v - 12. Let q be s(-3). Let h be 4 - q - (-6)/2. Let w be h/((-15)/28 - 2/(-7)). What is w rounded to the nearest one hundred?
1200
Let y(f) = -f**2 + 18*f - 17. Let h be y(17). Suppose 3*a = -5*a - h*a. Suppose a = 2*g - 28756 - 119244. What is g rounded to the nearest ten thousand?
70000
Let c = 43.69 + -43.68999989119. Round c to 7 dps.
0.0000001
Let c = 44441264.852997012 + -44441264. Let d = c + -0.853. Round d to seven dps.
-0.000003
Let x = 1.8598 - 1.8467005. Round x to three decimal places.
0.013
Let l = 0.1060527601 - 0.106036. What is l rounded to 7 dps?
0.0000168
Let p = -0.25 - 139.05. Let q = p + 134. Let f = 5.229 + q. Round f to two dps.
-0.07
Let k = -0.1272 - 531.8728. Let l = -531.99999422 - k. Round l to 6 dps.
0.000006
Let k(m) = -46*m**3 - 24*m**2 - 178*m - 7. Let p be k(-9). Round p to the nearest one thousand.
33000
Let s = -45.8 + -5.2. Let i = -52.168 - s. Round i to one decimal place.
-1.2
Let q(x) be the first derivative of -164*x**4 + 2*x**3/3 + x**2/2 - 12*x - 25. Let h be q(-4). Suppose -d = -9*d + h. What is d rounded to the nearest 100?
5300
Let m = -560.21031 - -639.711176. Let u = 79.5 - m. What is u rounded to five decimal places?
-0.00087
Suppose -5*r = 5*g - 69882500, 39*g = 43*g + 3*r - 55906000. Round g to the nearest one million.
14000000
Let t = 12.31396 + 548.33504. Let u = 12.949 - t. What is u rounded to the nearest 100?
-500
Let v = -3073.4 + 3073.4033417. Round v to 3 decimal places.
0.003
Let n = 0.46834141 + -0.46853. Round n to 5 dps.
-0.00019
Let k = -823.97 - -823.48401. Let u = -0.484 - k. Round u to 3 dps.
0.002
Let p = 4254 + -4254.892. Let i = -24 - -24.85. Let b = i + p. Round b to 2 decimal places.
-0.04
Let o = -13.6 - -12.815. Let n = -673.265 - o. Let x = n - -660. Round x to the nearest integer.
-12
Let d be (2/(-4))/((-38)/380) - (10 + 40315). Round d to the nearest 1000.
-40000
Let q = 505 - 508.75. Let f = q + 3.7276. Round f to 3 dps.
-0.022
Let u = -442 + 441.7558. Let s = -52.4042 - u. Let w = s + 53. What is w rounded to one decimal place?
0.8
Let l(n) = -n**2 + 27*n + 34. Let w be l(31). Let j = w + 128. What is j rounded to the nearest ten?
40
Let g = 33282257.541 + -33281708.54099692. Let t = g - 549. What is t rounded to 6 dps?
0.000003
Let g = -1530 - -1390.8. Let d = -41.8 + g. Let f = -185.76 - d. What is f rounded to the nearest integer?
-5
Let c = 16.597 + -16.597011772. Round c to seven decimal places.
-0.0000118
Let t = -27 - -93. Let i = 66.000123 - t. Round i to 5 decimal places.
0.00012
Let z = -598492.17697631 - 54.82882369. Let f = z - -598433. Let x = 114 + f. Round x to three decimal places.
-0.006
Let n(c) be the third derivative of -39501*c**5/20 - 31*c**4/24 - 5*c**3/3 - 2*c**2 - 2*c. Let f be n(-10). Round f to the nearest 1000000.
-12000000
Suppose 9543998 = 4*c - w, 75*w = c + 70*w - 2385990. Round c to the nearest 100000.
2400000
Let m = -2.4778 + -6.357. Let h = m + -0.0352. Round h to 1 decimal place.
-8.9
Let p(i) = -345*i + 95. Let t be 1 + -8 + 20/4. Let l be p(t). What is l rounded to the nearest 100?
800
Let r(v) = 44745*v - 29. Let g be r(2). Suppose -24*j + g = 28789. Round j to the nearest 100.
2500
Let v = -265 - 296. Let x = -560.7788 - v. What is x rounded to 2 dps?
0.22
Let z(h) = -132 - 16*h - h**2 - 42*h + 23*h. Let p be z(-21). What is p rounded to the nearest ten?
160
Let v = 860.295 - -233.515. What is v rounded to the nearest one hundred?
1100
Let f = 1501283 + -1501293.27531. Let y = f - -10.28. What is y rounded to 4 dps?
0.0047
Let m = -19453 - -19453.00015739. What is m rounded to 6 decimal places?
0.000157
Let h be 22692*((4 - -549) + -5). Suppose -5*x + h + 7254789 = -5*l, 4*l + 11814004 = 3*x. What is x rounded to the nearest 100000?
3900000
Let t = 3.7817 - 3.934236. What is t rounded to two dps?
-0.15
Let n = 129.98125 - -1.40475. Let d = 130 - n. Round d to one decimal place.
-1.4
Let x(w) = 4684*w + 9. Let h be x(9). Suppose 9*k = 4*k + h. Let d = k + -4233. Round d to the nearest one thousand.
4000
Let c = -30.73803 + -1.51757. Let u = 32.2 + c. What is u rounded to three decimal places?
-0.056
Let k(o) = -190*o + 3. Let y be k(-2). Let x = -51 - y. Round x to the nearest one hundred.
-400
Let f = 3.62 - 3.7. Let b = f + -0.0015. Let g = 0.061 + b. Round g to 3 decimal places.
-0.021
Let l(w) = -55586*w + 244302*w + 1 + 164429*w. Let r be l(1). Suppose -10*y - r - 626854 = 0. Round y to the nearest 10000.
-100000
Let k(t) = 6*t**2 + 11*t + 31. Suppose 4*z = 0, -7*l - 4*z = -3*l + 60. Let i be k(l). Let o be (-3)/(-2)*i/(-4). Round o to the nearest one hundred.
-500
Let x(b) = -27*b + 5 + 1 + 2*b**2 - 10. Let p be x(14). Let f be (-2)/5 + 69000004/p. What is f rounded to the nearest 1000000?
7000000
Let h = -1264.0155868560102 + 0.0155821000102. Let k = h - -1264. What is k rounded to six decimal places?
-0.000005
Let s(f) = 9*f + 7. Let y be s(-3). Let v(l) = -75*l + 75. Let x be v(y). What is x rounded to the nearest one hundred?
1600
Let g = 3403326 - 3455057.215. Let l = g + 51836. Let k = 105 - l. Round k to one dp.
0.2
Let c = 3.83454 - 3.834. What is c rounded to 3 dps?
0.001
Suppose -4*s + 5* | {
"pile_set_name": "DM Mathematics"
} |
e 12/d*(-44)/6?
True
Is 19 a factor of -3 + 2 + -3 + 92?
False
Let f = 41 + -14. Let v = -15 + f. Is v a multiple of 6?
True
Let l = -19 + 51. Suppose 2*y = 5*q - 1 - 1, 28 = 5*y + 4*q. Suppose -4*p + l = -y. Is 9 a factor of p?
True
Suppose -25*a + 77 = -24*a. Does 12 divide a?
False
Let m = -1 - -4. Suppose -m*q = 16 - 61. Is q a multiple of 9?
False
Suppose 15*f = 14*f + 163. Does 29 divide f?
False
Suppose -5*k + 4*s + 538 = 0, 0 = -k - k - 3*s + 229. Suppose 10 + k = 4*c. Is 15 a factor of c?
True
Suppose -9*l + 144 = -7*l. Does 9 divide l?
True
Let d = -100 - -225. Let c = -175 - -86. Let g = d + c. Is 18 a factor of g?
True
Is 13 a factor of 3*(-1)/6*-142?
False
Suppose 0 = -6*c + 609 - 9. Is 19 a factor of c?
False
Let l(m) = 4*m**3 + m**2 - 2. Is 5 a factor of l(2)?
False
Let b(i) = -2*i**3 - i**2. Let k be b(-1). Let t be 65 + 0/(-3*k). Suppose 2*u = 7*u - t. Is u a multiple of 13?
True
Suppose 6 = 5*u + 26. Is (-56)/20*10/u a multiple of 2?
False
Suppose -3*x - x + 276 = 0. Is 23 a factor of x?
True
Let a = 3 - 20. Let h = a + 30. Is 4 a factor of h?
False
Does 24 divide (-4 + 12)*(6 + 3)?
True
Let d = -358 + 510. Does 19 divide d?
True
Does 9 divide ((-3)/(-5))/((-23)/(-2070))?
True
Suppose 5*j = 75 - 25. Is j a multiple of 10?
True
Let v(p) = -56*p + 1. Suppose -2*g - 3*c = 17, 4*c + 15 = 4*g - 1. Is v(g) a multiple of 25?
False
Suppose -4*q - 5*p + 365 = 0, -126 + 406 = 3*q + 5*p. Suppose -y - 4*y = -q. Does 11 divide y?
False
Does 17 divide (-3)/2*32/48*-395?
False
Suppose -82 = -d + s + 236, -3*s = 5*d - 1622. Is d a multiple of 23?
True
Let n(o) = -o**3 + 4*o**2 - 2*o - 3. Let x be n(3). Let q(w) = 6*w**2 + w + 1 + x*w**2 - 2*w**2. Does 4 divide q(-1)?
True
Suppose -5*i + 954 = 4*p, 2*p - i = p + 234. Is 11 a factor of p?
False
Let k(u) = -7*u**2 + 2*u**2 + 2*u + 0*u - 1 + 0*u. Let h be k(3). Let o = -28 - h. Does 6 divide o?
True
Suppose 0 = -3*y + 13 + 8. Let z(u) = 6*u - 2. Is z(y) a multiple of 27?
False
Let y(u) = u**3 + 8*u**2 - 12*u + 3. Suppose 4*d - 2*d = -4*r - 52, 4*d + 5*r + 92 = 0. Let b = d + 9. Does 9 divide y(b)?
False
Is 19 a factor of (-2 - -1)*(-304)/4?
True
Is 7 a factor of (4 + 104/(-8))*76/(-6)?
False
Let b(h) = -h**3 + 7*h**2 - 4*h - 5. Let n be b(4). Suppose o - 5*o + 69 = r, 2*o - n = r. Is o a multiple of 5?
False
Suppose 0 = c + 2*c - 51. Does 13 divide c?
False
Let x be 1/(-2) - 18/12. Does 3 divide 4/6*(-18)/x?
True
Suppose s = -s + 92. Is s a multiple of 23?
True
Let f(k) = k**2 - k - 3. Let v be f(0). Let p be (v + 4)/(2/4). Suppose 2*s - 6*i - 74 = -p*i, -2*i - 10 = 0. Is s a multiple of 12?
False
Let u = -34 + 62. Let q be (-1)/3 + 40/3. Let o = u - q. Does 15 divide o?
True
Let n be 6/2 + -153 + 1. Let f = n - -209. Is f a multiple of 20?
True
Suppose -5 = -d + n, 2*d + n - 9 = 4*n. Suppose 2*k + 5 = k + u, -4*k - 3*u - d = 0. Let s = k - -9. Does 4 divide s?
False
Suppose -y = -5*y + 8. Suppose 5*r - 130 = -y*i, -2*i + 74 + 88 = -3*r. Does 15 divide i?
True
Let v(q) be the second derivative of q**3/6 + q**2/2 + q. Let t be v(0). Is 7 a factor of -2 + (13/t - -1)?
False
Let v be -1*(3 - 6) - 2. Let y be (-3)/(-9)*v*9. Suppose -4*o + 15 = 5*t - 3*o, -15 = -5*t - y*o. Is t a multiple of 3?
True
Let f(v) = 6*v**2 - v + 2. Is f(2) a multiple of 24?
True
Suppose -c = a + 2*a - 124, -600 = -5*c + 5*a. Is c a multiple of 15?
False
Let j(w) = -w**2 - 2*w**2 - 12 + 2*w**2 - 9*w. Let m be j(-8). Is 0 - 6*18/m a multiple of 17?
False
Let h(d) = -d**2 - 5*d + 4. Let g be h(-5). Suppose 0*y - 4*y + 48 = 2*w, -g*w = 0. Is y a multiple of 10?
False
Suppose 4*i = -2*j + 66, 2*i + 225 = 5*j - 3*i. Is 10 a factor of j?
False
Suppose -3*m = 5*q - 385, m = 2*m - 4*q - 100. Is 20 a factor of m?
True
Let y(m) = m**2 - 21*m + 88. Does 8 divide y(21)?
True
Let m(p) be the second derivative of p**3/3 + 3*p**2/2 - 6*p. Is m(8) a multiple of 19?
True
Suppose -4*g = -5*x - 0*x - 2, 17 = 4*x + 3*g. Does 6 divide x/(2/(-2)) - -30?
False
Let m = 7 - 3. Suppose -m*z + 66 = 2. Is z a multiple of 8?
True
Suppose -3*o + 173 = 53. Is 16 a factor of o?
False
Let q(r) = r**3 - 9*r**2 + 9. Does 4 divide q(9)?
False
Is 50 a factor of -1*(-2)/4*2000/10?
True
Let a(h) = 7*h + 3. Let b be a(-6). Let n = -64 - b. Let z = n - -44. Does 9 divide z?
False
Suppose i = -i + 4. Is 3 + -2 + 18 + i a multiple of 7?
True
Let j(p) = -24*p**3 + 2*p**2 + 2*p + 3. Is 29 a factor of j(-2)?
False
Let f = -54 - -38. Let k be f/12*6/(-2). Suppose k*y = -0*y + 40. Is y a multiple of 10?
True
Let h(z) = -18*z + 7. Let q be h(5). Let v = -53 - q. Is 10 a factor of v?
True
Let u(y) = -4*y + 3. Let s(k) = -3*k + 3. Let g(d) = 4*s(d) - 5*u(d). Is g(6) a multiple of 18?
False
Suppose 420 = 4*p - z, -2*p - z + 59 + 145 = 0. Does 13 divide p?
True
Suppose 96 = 4*t - 0*t. Suppose 0*y = y - t. Suppose -y = 3*p - 4*p. Is p a multiple of 12?
True
Suppose 11*j - 13*j + 24 = 0. Does 4 divide j?
True
Suppose 4*f = 3*z - 4*z + 81, 5*z - 421 = -4*f. Does 11 divide z?
False
Suppose -29 = -5*g + 4*p, p = -0*g + 2*g - 11. Is 2 a factor of g?
False
Is 16 - (0 - (0 - 0)) a multiple of 5?
False
Suppose 28 = 13*x - 63. Is 3 a factor of x?
False
Suppose 0*x + 51 = -3*x. Is -1*2*(x + 1) a multiple of 8?
True
Suppose 335 = -5*m - 5*d, 2*d + 0 - 2 = 0. Let c = -48 - m. Is c a multiple of 9?
False
Let u = -12 + 17. Suppose -u*j + 70 = -0*j. Is 14 a factor of j?
True
Let k(t) = 3*t**2 - 3 - 2 + 2*t**3 - 3*t**3. Let i be k(4). Let l = i - -41. Does 10 divide l?
True
Let k(f) = -f**3 + 7*f**2 - 7*f + 6. Let y be k(6). Suppose 0 = l - 5*i - 16, y = 4*l - i - 63 - 58. Is l a multiple of 13?
False
Let a = -1 + 16. Is 384/15 + 6/a a multiple of 10?
False
Let d(o) = o**3 - o**2 + 2*o + 133. Is 19 a factor of d(0)?
True
Let q(h) = -h**2 - h**3 + 6*h**3 - 1 - 4*h - 4*h**3. Is 5 a factor of q(3)?
True
Let t(o) = 8*o**2 + 3*o + 3. Is 11 a factor of t(4)?
True
Let v(m) be the second derivative of m**5/20 + m**4/3 - 2*m**3/3 - m**2 + 7*m. Is v(-4) a multiple of 11?
False
Suppose g = 3*n - 59, n + 0*g - 4*g - 5 = 0. Suppose 4*s + n = 7*s. Is s a multiple of 2?
False
Suppose -277 = -3*m + 317. Is m a multiple of 10?
False
Let m be (-14)/77 + (-1036)/(-11). Let z = m + -66. Does 14 divide z?
True
Let s = 79 - 19. Is s a multiple of 20?
True
Let q be (-9)/6*-2 - 3. Suppose -10 = -5*o - q. Suppose 4*f - 5*f - 29 = -o*s, 3*s + 5*f - 11 = 0. Is s a multiple of 6?
True
Let o be (0 + 87/6)*-2. Suppose -3*v - 34 = -v. Let z = v - o. Does 12 divide z?
True
Let y(z) = -6*z + 3. Is y(-13) a multiple of 12?
False
Let d be 6/(-4)*20/15. Let x be 3*d/(-6) + 4. Suppose 0 = 3*c - 2*c + 1, x*g = -3*c + 67. Does 9 divide g?
False
Suppose 9*p - 3*y = 4*p + 418, 4*p + 2*y - 352 = 0. Let k = p + -49. Is 11 a factor of k?
False
Let y(w) be the third derivative of 7*w**4/24 + 5*w**2. Let i(o) = o + 7. Let u be i(-6). Is 5 a factor of y(u)?
False
Suppose 0 = b + 8 - 2. Let c(i) = -2*i - 6. Let f be c(b). Let y(s) = s**2 - 3*s - 4. Does 7 divide y(f)?
True
Let l(x) = -3*x**2 + 4*x + 5. Let u(h) = 10*h**2 - 13*h - 16. Let i(z) = 7*l(z) + 2*u(z). Let j be i(3). Is 2 a factor of j - (0 + 9/(-3))?
False
Let p(t) = -4*t**3 + 2*t**2 + 2*t + 1. Let b(v) = v**3 + 3*v**2 + 2*v - 1. Let a be b(-2). Let d be p(a). Suppose -120 = m - d*m. Is 15 a factor of m?
True
Let a be (-16)/(-1) - (2 + -1). Let r = a - 2. Is r a multiple of 4?
False
Suppose 5*b - 3*x = 407 + 163, 4*x = -b + 91. Does 15 divide b?
False
Let u = 208 - 103. Let m = u + -55. Is 25 a factor of m?
True
Is 5 + (3 + 148 - 0) a multiple of 26?
True
Is (-60)/(8/(-4))*1 a multiple of 21?
False
Suppose 0 = 2*k + 8, 7*x + 5*k = 3*x - 12. Suppose 0 = -4*a + 3*q + 74, a - x*q = -5*q + 26. Is a a multiple of 10?
True
Suppose 6 = 3*s - 3. Suppose 56 = -2*h + s*h. Is 28 a factor of h?
True
Let x = 464 - 734. Is 7 a factor of 2/4 + x/(-12)?
False
Let k = 251 + -171. Is k a multiple of 16?
True
Suppose -11 = n - 5*d - 0*d, 2*d - 2 = 0. Let z be (1 + -4)/((-3)/n). Is 2 a factor of -6*1/z*4?
True
Let r(z) = 2*z**2 + 7*z + 4. Let o be r(-4). Let v(s) = s**2 + 2*s - 3. Let a be v(-5). Suppose 4*n - 5*u = 105, -o = -2*n - 4*u + a. Does 10 divide n?
True
Suppose z = -3*z - 12. Is 15 a factor of 3/(-9) - 91/z?
True
Let o(h) = 35*h. Let f be o(5). Suppose -590 + f = -5*w. Suppose -236 = | {
"pile_set_name": "DM Mathematics"
} |
7
Let d = 125271/59465 + 13/1699. Calculate the common denominator of d and 69/56.
280
Suppose 15*x + 1670 - 4775 = 0. What is the smallest common multiple of x and 15?
1035
Calculate the smallest common multiple of ((-63)/5)/(19 + 3474/(-180)) and 126.
126
Let w = 5479/354 - -21/59. Find the common denominator of (-70)/175 + 362/(-20) and w.
6
What is the lowest common multiple of 48 and (10/(-25))/((-1)/150)?
240
Let p be (-4)/18 + 6184/27666. Let o = 130649/3074 - p. Find the common denominator of o and 44/9.
18
Let u = 37 + -31. Suppose 2*k - 6*k + 44 = 0. What is the least common multiple of k and u?
66
Let u = 21 - 254. Let t = 397 + u. Find the common denominator of -43/14 and 11*(t/(-40) + 4).
70
Let g = 314131/8160700 + -2570511849480681/42851835700. Let b = 59986 + g. Let c = 362299/52510 + b. Find the common denominator of c and 55/18.
90
Calculate the common denominator of 9 + (1996/(-180) - -2) and -41/15.
45
Let r(j) = 13*j + 112. What is the lowest common multiple of r(-7) and 57?
399
Let t(b) = 38*b - 117. What is the smallest common multiple of t(4) and 42?
210
Let r = -10616923/54 - -196601. Let b = r - -1/54. Calculate the common denominator of b and 49/11.
33
Calculate the common denominator of 2/(-5)*-4*34/192 and -1/36.
180
Find the common denominator of 2/(-4) - (-9593)/17066 and -8/77.
1771
Let z(h) = -h**3 + 8*h**2 + h - 6. Let x be z(8). Let b(y) = y**3 - y**2 + 2*y - 5. What is the lowest common multiple of 96 and b(x)?
96
Let v = 58997/6 + -9809. Calculate the common denominator of (6/(-4))/(22/(-8)) and v.
66
Suppose -2*w - 40 = -f + 43, -5*w - 10 = 0. Calculate the least common multiple of f and 1.
79
Find the common denominator of (-2 - (-8665)/4560) + 6/18 and 85/342.
2736
Let r = -32575/84 - -2728/7. Find the common denominator of r and -17/195.
780
Calculate the common denominator of 101/70 and (-8)/(-18) - 9192/3024.
210
Suppose 2*o - 4*i = 110, -130 = -13*o + 11*o - i. What is the least common multiple of o and 252?
252
Let j be (3/(-9))/((-4)/204). Let z = 4 + j. Calculate the least common multiple of z and 6.
42
Calculate the smallest common multiple of 6 and (-4)/4*(-15)/1.
30
Let y(o) = -506413*o**2. Let p be y(1). Let b = p - -3053731/6. Let d = 2567 - b. Calculate the common denominator of d and -55/6.
6
What is the least common multiple of 60 and (-240)/16*(-3 + 7/3)?
60
Suppose -18*g - 17 = -125. What is the smallest common multiple of 39 and g?
78
Calculate the common denominator of ((-27)/108)/((-3)/(-105)) and -33/2.
4
Suppose -4*l - 174 = 3*a, -2*l - 50 = a + 2*l. Let g = -111 - a. What is the common denominator of (g + -4)*(-2)/26 and -7/5?
65
Calculate the common denominator of (426/36 - 3)*(-6)/(-16) and -35/122.
976
What is the smallest common multiple of (-69)/(-9) + -9 - (-679)/3 and 55?
2475
Find the common denominator of -53/3 and (30/9)/((-2)/112*-8).
3
Find the common denominator of -36/13 and (-48)/13 + (-7 + 4)*-1.
13
Suppose 0 = 5*j + o + o + 36, -4*j + 3*o - 38 = 0. Let u = j + 15. Let h(m) = -m**2 + 10*m - 5. What is the common denominator of -38/9 and h(u)?
9
Suppose -2*w = 5*g - 16, -g + 3*g - 19 = -5*w. Find the common denominator of w - 5 - 109/(-22) and (-9)/(-6) + (-130)/24.
132
Let x be (-6)/18*24/(-2). Suppose -5*v = x*y - y - 47, 0 = 2*y + 4*v - 32. Calculate the smallest common multiple of 8 and y.
56
Suppose -42*u = -48*u + 2424. What is the least common multiple of u and 10?
2020
Suppose -3*g = -4*o + 4 + 2, 0 = -4*g + 3*o - 1. Suppose -g = h - 10. Let r = -11 + 15. Calculate the smallest common multiple of r and h.
8
Suppose 65 + 43 = 2*i. What is the lowest common multiple of 20 and (-80)/(-6) - i/(-81)?
140
Let m = -389/22 - -93160/5269. Let j = 6715/8622 + m. What is the common denominator of 71/3 and j?
9
Suppose -2*z = z + 249. Let h = -58 - z. Let g = -23 + h. Calculate the smallest common multiple of 4 and g.
4
Let g(a) = -4*a**3 - 24*a**2 - 3*a - 15. What is the lowest common multiple of 54 and g(-6)?
54
Calculate the common denominator of 836/24 - (-8)/12 and 48/23.
46
Let z be 2/4 + 21/(-6). Let d be 3/2*(-244)/z. Calculate the common denominator of 2/(28/d) + -2 and 5/4.
28
What is the common denominator of -59/14 and ((-10675)/476)/(-5) - 3?
476
Suppose 10 = 4*z + 2. Let f = -6393/10 + 640. Find the common denominator of 297/60 - (z - 1) and f.
20
Calculate the lowest common multiple of (6 + -10)/(2/(-10)) and 244.
1220
Let k = -51131/24 - -2143. Let x = 243/8 - k. Find the common denominator of x and 65/4.
12
Let b be 36/(-45) - 9601/(-20). Let c = 473 - b. Calculate the common denominator of c and 16/21.
84
Let t = 489 - 10657/22. What is the common denominator of (-48)/(-80) + (-806)/160 and t?
176
Let w be (-3)/(-8) + 1734/(-16). What is the common denominator of 21/4*(-78)/w and 91/18?
72
Suppose 9 = 3*n - 9. Suppose -3*b = -n*x + 2*x - 8, 2*b - 36 = -5*x. Suppose a - b = 8. Calculate the smallest common multiple of 14 and a.
112
Find the common denominator of 24426/(-24840) - (-1 + 2/4) and 97/24.
120
Let w be (-38)/((0 + -6)/3). Let s = w + -14. What is the least common multiple of 7 and s?
35
Let q = 875 - 699. Calculate the lowest common multiple of q and 80.
880
Suppose 50*q = 45*q + 40. Calculate the lowest common multiple of q and 42.
168
Let d be 2 - (-2 + 121285 + -1). Let g = -725539/6 - d. Let u = 353 - g. Find the common denominator of 53/14 and u.
42
Let t be 1/(-2)*(-28)/(-171703). Let k = -138471992384254697/196232 - -705654492550. Let y = t - k. What is the common denominator of -28/5 and y?
40
What is the common denominator of 181/120 and (-10 - (-8469)/756)/(3 - 2)?
840
Let q(z) = -2*z - 2. Let a be q(2). Let k be (-1)/(-3) - (-8)/a. Calculate the least common multiple of -6 + 20 - (k - -1) and 8.
56
Let l be ((-15)/(-210))/(26550/(-13276) - -2). Let c = l + -476. Calculate the common denominator of (-4)/5*(-21)/(-8) and c.
70
Let b be 100/(-8)*2/(-5). Suppose -3*x + 2*x + 15 = 3*h, x + b*h - 21 = 0. What is the lowest common multiple of x and 30?
30
Suppose -2*l + 2174 = -1630. Suppose -5*r - 1188 = l. Calculate the common denominator of 17/18 and (-1)/6*r/22.
198
Let u be (4/(-10))/((-9)/(-216765)). Let p be -4 + 540116/56 + 1. Let z = u + p. Find the common denominator of 1/4 and z.
28
Let x(k) = 3*k**2 + 20*k + 61. Calculate the least common multiple of 132 and x(-5).
396
Let p be 1388/32*-2*-4. Suppose 2275 - p = -4*q. Calculate the common denominator of q/21 - (-10)/35 and 64/9.
9
Suppose -32*k + 1236 = -76. Find the common denominator of 1/854 and k.
854
Let w = 2005/6 + -80153/240. Find the common denominator of w and 13/60.
240
Let c = 1289/720 - 44/45. Suppose s + 5*i = -29, -4*i + 9*i = -5*s - 45. Find the common denominator of (s/(-80)*292)/((-32)/(-10)) and c.
16
Suppose 0 = 6*t - 78 - 54. Let q = -6 + 34. What is the smallest common multiple of t and q?
308
Suppose 5*a + 7*i - 750 = 2*i, 2*a + 3*i = 300. Calculate the lowest common multiple of a and 2.
150
Let q(f) = -12*f**2 + 0*f**2 - 13 + 8*f**2 - f**3 - 9*f**2 + 12*f - 3. Let h be (1/(-2))/((-1)/(-28)). What is the lowest common multiple of 6 and q(h)?
12
Let d be (-12)/(-16)*16/(-1). Let o be (d/(-10))/(3/20). Suppose -o = y - 3*a, 3*y - 4*a - 1 = -10. Calculate the lowest common multiple of y and 9.
9
Let m(b) = 4*b + 128. Calculate the smallest common multiple of m(-25) and 64.
448
Let h = 187351/12 + -15602. Let c = 12205875729287353/76650 - 159241692495. Let b = c + -2/5475. What is the common denominator of h and b?
84
Let f = -6101/1416 + 60/59. Let u be 12/(-32) + (-21)/8. What is the common denominator of f and ((-6)/(-4))/((-130)/(-377)) + u?
120
Let g(s) = -3803*s + 5. Let h be g(-1). Let v = 38047/10 - h. Calculate the common denominator of -101/16 and v.
80
Find the common denominator of 5/18 and ((-166)/(-19173))/(4/87).
1386
Calculate the common denominator of 26/6 + -1 + 1 and (267/(-9))/(9/(63/28)).
12
Let m = 2/124255 - -10064567/5467220. Calculate the common denominator of m and 73/44.
44
Let j = 62 + -55. Suppose -5*g - 52 = -j*t + 3*t, 0 = 3*t + 4*g - 8. What is the least common multiple of t and 11?
88
Suppose y - 18862 = -y. Let l = 301835/32 - y. Find the common denominator of -37/16 and l.
32
Suppose -4*t + 3 = 19, 20 = 4*q - 3*t. Let n( | {
"pile_set_name": "DM Mathematics"
} |
*s - 2*s in the form c*s + f and give c.
2
Express 10*f**4 + 63*f**4 + f + 7*f - 64*f**4 - 1 + 3*f**3 as x*f**3 + d*f**2 + y + j*f + w*f**4 and give j.
8
Express -w**3 + w**2 - w**2 + (-2*w**2 + 2*w - 2*w)*(1 - 1 + 2*w) - 9*w**3 - w**3 + 2*w**3 + 48 - 44*w**3 - 48 as l*w**3 + r + v*w**2 + q*w and give l.
-57
Express 0*w**3 + 2 - 100*w + 2*w**3 + 1 + 106*w - 2*w**4 - 5*w**2 in the form v*w**4 + z*w + k*w**3 + q + r*w**2 and give q.
3
Rearrange 1 - 231*j - 3 + 2 - 368*j to n*j + p and give n.
-599
Express (4*q + 3*q + 4*q)*(8 - 5 - 5) + 0 - 2*q + 0 in the form w + o*q and give o.
-24
Rearrange -9814*o**4 - 1 + 0 + o**3 + 7*o + 2*o**2 + 9805*o**4 to the form v + s*o**3 + y*o**4 + w*o + j*o**2 and give v.
-1
Rearrange -31*j**3 + 3*j**3 - 1317*j**2 + 27*j**3 to the form b*j + w + s*j**3 + h*j**2 and give s.
-1
Express 2*j**3 - 2*j**4 - 2*j**2 + 2 + 11*j**3 - 2*j**2 - 5*j**3 + 5*j**3 as n*j**3 + l + c*j**4 + o*j**2 + z*j and give n.
13
Rearrange u + 15*u**4 - 1 - 5*u + 0*u + 390*u**3 - u**2 - 392*u**3 to a*u**4 + v*u + m + p*u**3 + q*u**2 and give v.
-4
Express -23*a + 8*a - 26*a - 4 + 29*a - 38*a in the form m*a + f and give m.
-50
Express (3 + 3 - 5)*(-3*w**4 + w**4 + 0*w**4) - w**4 + 11*w - 4 - 2 - 9*w as n*w**4 + u + o*w**3 + i*w**2 + p*w and give u.
-6
Express -7*o + o**4 + 3 - 96*o**2 + 97*o**2 + 27*o in the form t*o**4 + n*o**2 + u + j*o + d*o**3 and give u.
3
Express 4452*g**2 - 2198*g**2 - 2222*g**2 as w*g + x + l*g**2 and give l.
32
Express 5*q - 30*q + 14*q - 31 + 5*q + 9*q + 2*q**2 in the form g*q**2 + f*q + k and give k.
-31
Rearrange (7 + 8 - 6)*(37 + 9*w + 37 - 77) to m + h*w and give m.
-27
Rearrange -2*h + 3*h - 29 - 4*h + 30 to j*h + o and give j.
-3
Rearrange 2*x - 588*x**2 + 296*x**2 + 40*x**3 - 1 + 290*x**2 to the form s*x**2 + a*x**3 + d + t*x and give a.
40
Express -48*u**2 - 1 - 11*u**3 - 40*u**2 - 17*u**3 + 26*u**3 as p*u**3 + n + j*u**2 + a*u and give j.
-88
Rearrange -3*z**3 + 8*z**2 - 5 + 5*z**3 + 15*z**2 - 37*z**2 + 13*z**2 - z to the form l*z**2 + d + a*z + b*z**3 and give d.
-5
Rearrange 790*i - 262*i**2 - 790*i to the form c + w*i + q*i**2 and give q.
-262
Express -p**2 + 39*p - 110*p + 1 + 24*p as y*p + c + j*p**2 and give j.
-1
Rearrange 14*b - 2*b**3 - 60*b**2 + 2*b - 14*b - 3*b to i*b + h + u*b**3 + s*b**2 and give s.
-60
Rearrange 67 + 3*u**3 + 69 + u**4 - 132 - 4*u to n*u**2 + g*u**4 + f*u + m + w*u**3 and give m.
4
Rearrange -2899 + 41*d + 219*d + 2899 to the form m*d + f and give m.
260
Express 6*w - 3*w - 4*w + (5*w + w - 4*w)*(2 + 1 - 2) + 2*w - w + 0*w - 5 - 2*w + 5 - 27 + 45 + 33*w - 19 in the form m*w + a and give m.
33
Express 35*s**3 - 18 - 316*s**4 + 306*s**4 - 13 + 33 in the form y*s + f*s**2 + m*s**4 + d + a*s**3 and give m.
-10
Express -1 + 2*l - 3*l + 0*l + (0 - 3 + 4)*(0 + 0 + l) + (-3 - 1 - 2)*(3*l - l - l) in the form q*l + b and give q.
-6
Express -11*p**2 + 5*p**4 + 7*p**2 - 7*p + p**3 - 3*p**3 + 3*p**4 as m*p**4 + d*p**3 + n*p + j*p**2 + b and give d.
-2
Express (48 + 0*h**2 - 56 - h**2)*(-3*h + 4*h - 6*h) - 6*h**3 - 10*h**3 + 6*h**3 as y*h**2 + l*h**3 + i + c*h and give c.
40
Rearrange -82*b**4 + 3367*b - 3367*b + (-3*b - 4*b - b)*(-4 + 3 + 0)*(2*b**3 + 2*b**3 - 6*b**3) to the form n*b**4 + j*b**2 + m*b**3 + r + g*b and give g.
0
Rearrange (0 + 5 - 1)*(-1 + 4 - 1)*(-3*p - p + 16*p) to the form g*p + h and give g.
96
Rearrange -333*r**2 - 436*r**2 + 3 - 16 + 13 to the form x + z*r**2 + s*r and give z.
-769
Express -564 + 151 - 212*m + 213*m in the form c*m + f and give f.
-413
Rearrange (-2 + c + 2)*(-2 + 1 - 5)*(-94 - 7*c + 94) to the form r*c + g*c**2 + s and give r.
0
Rearrange (-34*h**2 + 29*h**2 + 92*h**2)*(1 - 4 + 5) to i + z*h**2 + p*h and give z.
174
Rearrange -13 + 5 - 72*c + 7 to the form v + z*c and give z.
-72
Rearrange (5*h + 0*h - 2*h)*(-501*h + 1271*h - 242*h + 1169*h) to v + z*h**2 + d*h and give z.
5091
Express (-71*s - 145 + 145)*(-13 + 1 - 11) as u*s + v and give u.
1633
Express -2 - 25*g**3 + g + g - 9*g**3 + 183*g**3 as u*g**3 + i + l*g + c*g**2 and give i.
-2
Express 2*f**3 + 0*f**3 + 484*f**2 + f - 490*f**2 as i + x*f + y*f**2 + q*f**3 and give x.
1
Rearrange -300*z**2 + 62*z**3 + 158*z**2 - 2*z**4 + 146*z**2 - 1 to the form f*z**4 + q*z**3 + v + a*z**2 + b*z and give f.
-2
Express (0*r + 0*r - 4*r)*(-3*r**2 - 3*r**2 + r**2) + (-14*r + r**2 + r**2 + 9*r)*(2*r - r - 3*r) as y*r + f + l*r**2 + m*r**3 and give m.
16
Express 6*z**3 - z - 3*z**4 + 1 - 7*z**3 + 3*z**2 + 0*z**2 - 2*z**2 + z**4 in the form c + x*z**2 + v*z + m*z**3 + l*z**4 and give x.
1
Rearrange (-86*h**3 + 40*h**3 + 60*h**3)*(-61 + 6*h + 61) to j*h**4 + v + r*h**2 + q*h + f*h**3 and give j.
84
Express (-10 + 7 - 5)*(419*r - 419*r + 3*r**3) + (2*r**2 + 1 - 1)*(r - 2 + 2) as m*r + p*r**3 + k + a*r**2 and give p.
-22
Express (-4 + 3 + 2)*(2*h - 4*h + h) - 79*h + 76*h - 244 + 25 in the form y + w*h and give y.
-219
Express (340 + 255 - 189)*(0*b**4 + 5*b**4 - 2*b**4) in the form i*b**4 + p*b + x*b**3 + h*b**2 + w and give w.
0
Express -159327*d - 2*d**2 + 159327*d + 743*d**2 in the form s*d**2 + c + n*d and give s.
741
Rearrange 257*c + 3444*c**2 - 1718*c**2 - 1724*c**2 to the form p + u*c**2 + j*c and give u.
2
Rearrange (-1 + 2 + 1)*(-k + 2*k - 2*k)*((-2 + 0 + 4)*(2 - 8 + 0) - 1 - 1 - 3) to n*k + q and give n.
34
Rearrange (-155*u**2 + 174*u**2 + 491*u**2)*(5 - 3 - 3) to the form i*u + g*u**2 + j and give g.
-510
Rearrange (4 - 1 - 2)*(2*w + 0*w + 0*w) + (w + 11*w - 2*w)*(18 - 89 - 8) + (3 - 2 + 1)*(0*w - 2*w + w) to b*w + l and give b.
-790
Rearrange (-2*k + 4*k + 12 - 3)*(4 - 3 + 1) - k + 4*k - k + k + 4*k - 3*k + (-3*k - k + 5*k)*(-2 + 2 + 2) - 2*k + 2*k + 2*k to a + n*k and give n.
12
Express 2*r - 35*r**3 + 2*r**2 + 34*r**3 + 4*r**2 as d*r**2 + a*r + m + i*r**3 and give d.
6
Rearrange 4*x**2 + x**4 - 4*x**2 + (2*x**3 - 4 + 4)*(2*x + 2 - 2 + (-2*x + 0*x - x)*(-2 - 2 + 8)) to the form j*x**3 + g*x + z + s*x**2 + t*x**4 and give t.
-19
Express 5*i - 2*i**3 + 4*i**3 - 11*i - 77 + i + 96 in the form t*i**2 + h*i + o*i**3 + s and give h.
-5
Express -8*h + 12*h**2 - 4*h**2 + 3*h**2 + 2*h**2 + 2 in the form d + g*h + r*h**2 and give r.
13
Rearrange 160 + 0*j**3 + 0*j**3 - 266 - j**3 - 5*j**3 to the form b + u*j**3 + r*j**2 + w*j and give u.
-6
Rearrange 30*t + 1280*t + 479*t + 2*t - 3*t + 2*t + (-1 - 4 + 3)*(0 + 0 - t) + 6*t - 2*t - 3*t to l + x*t and give x.
1793
Rearrange (-46*w - 8 + 43*w - 2)*(0*w + w + 0*w) to the form k + b*w + g*w**2 and give b.
-10
Express 4734 - 4734 + 334*k as o + u*k and give u.
334
Express (5*r - 3*r - 3*r)*(0*r**2 - 4*r**2 + r**2) + ((-2 + 2 + r)*(-3 + 3 + r) - 2*r**2 - 2*r + 2*r)*(10 - 10 + 5*r) as b + i*r**2 + g*r**3 + z*r and give g.
-2
Express -32195 - 1066*r + 32195 + 0*r + r + 0*r + (3*r - r - 4*r)*(3 + 0 - 4) - 3*r + 2*r + 0*r in the form a*r + n and give a.
-1064
Rearrange -3*y**2 - 10*y**2 - 5*y**2 + 2*y**2 - y**2 - 2*y**2 + (-3*y + 2*y + 0*y)*(0 + 0 - 2*y) - 80*y + 80*y + 15*y**2 to q + g*y**2 + p*y and give g.
-2
Rearrange 0*z**3 - 3*z + 43884*z**2 - 43881*z**2 + 2*z**3 + 6 + (-2*z + 2*z + z)*(1 - 1 + 2*z**2) to q*z + o + t*z**3 + b*z**2 and give b.
3
Express (1 - 3 + 3)*(739*w - 421*w + 630*w) as z*w + p and give z.
948
Rearrange 14*f + 114*f + 80*f + 19*f to the form g + o*f and give o.
227
Express -51*j - 1658 + 1658 - 21*j + 5*j in the form w + x*j and give x.
-67
Rearrange (1 + 3 + 10)*(3 + 0 - 4)*(-5*n**2 - 5*n**2 + 6*n**2) to u*n**2 + q + y*n and give u.
56
Rearrange (9*r - 2*r - 2*r)*(-16*r**2 + 39*r**2 - 5 - 21*r**2 - 15*r**2) to the form a*r**2 + d*r + k*r**3 + i and give d.
-25
Express -2*u - 29*u**3 + 0*u - 5 + 4 + 123*u**3 in the form m*u**3 + l*u + f + s*u**2 and give s.
0
Rearrange z**4 + 5339*z + 4*z**3 - 3 - 6*z**3 - 5342*z to r + y*z**3 + p*z**2 + x*z + k*z**4 and give y.
-2
Express (-4 - 2*r + 4)*(338 + 311 + 29 + 520) in the form g*r + z and give g.
-2396
Rearrange 5*o**2 - 16*o**2 + 5*o**2 + (3*o + o - 2*o)*(0*o - o - o) + 2*o**2 - 4*o**2 + 4*o**2 + 5*o**2 + o**2 - 3*o**2 to the form n*o**2 + f*o + m and give n.
-5
Rearrange (28*m - 28*m + 11*m**4)*(5 + 0 - 3)*(3 - 5 - 4) to y*m**4 + r*m + p*m**3 + g*m**2 + d and give y.
-132
Rearrange -4*v - 201*v - 137*v + 34*v to the form h + y*v and give y.
-308
Express (2 + 5 - 4)*(-m**4 + 4*m**4 - 5*m**4) + | {
"pile_set_name": "DM Mathematics"
} |
i(t) = -6*t + 7. Let u = 3 + -8. What are the prime factors of i(u)?
37
Let s(p) = 2*p**2 + 4*p. Let c = -1 - 3. List the prime factors of s(c).
2
Suppose 0 = -4*a + 2*a + 66. What are the prime factors of a?
3, 11
Let z(j) = -j**3 + 2*j**2 + 3*j - 4. Let w be z(3). Let r(k) = k**2 + 3*k + 3. What are the prime factors of r(w)?
7
Suppose -4*j + z = -3*z - 104, -2*j + z = -49. List the prime factors of j.
23
Let q = -6 + 8. Suppose 19 = q*m + 3*i, 5*i - 3 = 4*i. List the prime factors of m.
5
Let d be (33 - 11) + 1*2. Suppose -x - 6 = -d. List the prime factors of x.
2, 3
Let c = 121 - 59. List the prime factors of c.
2, 31
Let v = -7 + 10. Suppose -2*f = 2*o + 3*o - v, -4*f + 18 = -2*o. Suppose 24 - f = 5*l. What are the prime factors of l?
2
List the prime factors of (-732)/(1 - 4) + (5 - 3).
2, 3, 41
Let z(g) = g**2 + 11*g + 3. Let w be z(-11). Suppose 9 = 2*d + 5*s, 3*s + w = -0*s. List the prime factors of d.
7
List the prime factors of 1/3 - (-1 + (-591)/9).
67
Suppose 0 = 3*n - 15 - 138. What are the prime factors of n?
3, 17
Let k(a) = 8*a - 5. Let s be k(8). Suppose 3*q - 76 = s. List the prime factors of q.
3, 5
Let v = -6 - -18. Let a be (18/v)/((-1)/2). Let d = a - -7. What are the prime factors of d?
2
Let r = -4 - 0. Let a be (2/4)/((-1)/r). What are the prime factors of (a/4)/(1/24)?
2, 3
Suppose -3*o = -4*o + 14. List the prime factors of o.
2, 7
Suppose -5*p + 10 = 0, -3*p - 222 = -5*j + 942. List the prime factors of j.
2, 3, 13
Suppose 0 = 14*p - 8*p - 1074. What are the prime factors of p?
179
List the prime factors of ((-10)/25)/(2/(-160)).
2
Suppose -2*t = 5*u - 0*t - 14, -3*t - 4 = -5*u. Suppose 4*b + u*n - 74 = 0, -2 = 2*n + 4. What are the prime factors of b?
2, 5
Suppose -80 = -2*v - 5*y, 3*v - 4*y - 27 = 2*v. What are the prime factors of v?
5, 7
Suppose 5*w - 5 = 10. Let v(k) = k**3 + 3 - 5*k + 5*k**2 - 5*k**2. List the prime factors of v(w).
3, 5
Let r(x) = 0*x - 6*x - 2*x + 2*x**2 - 3*x**2 + 9. Let z be r(-9). Let s = 9 - z. List the prime factors of s.
3
Suppose 0 = 11*r - 913 - 1166. What are the prime factors of r?
3, 7
Let u be 3/4*24/1. Suppose 0*a = -2*a + o, -3*o = 3*a - u. Suppose -a*d + d + 12 = 0. List the prime factors of d.
2, 3
Suppose -3*r = 0, 3*f - 4*f + 3 = -2*r. Suppose 0 = -5*m + 13 - f. List the prime factors of m.
2
Suppose 5*g - 236 = g. List the prime factors of g.
59
Let f = 2 - 0. Suppose -f*h = -2*p + 5*p + 3, 15 = -3*h - p. Let w = h - -8. What are the prime factors of w?
2
Let d be 15 - (1 + 1 + -2). Suppose 0 = -5*g + d. Suppose 18 = -g*r + 54. List the prime factors of r.
2, 3
Let w = 5 - 3. Suppose n - w = -0*n. Let m(l) = 4*l. List the prime factors of m(n).
2
Suppose -4*f - 501 = -5*g, 0 = -0*g + 2*g + f - 190. What are the prime factors of g?
97
List the prime factors of (-96)/4*(-6)/9.
2
Suppose 103 + 25 = 4*i. What are the prime factors of i?
2
Let l(f) = -f**3 + 5*f**2 - 2*f - 3. Let m be l(4). Let u = 5 + m. What are the prime factors of u?
2, 5
What are the prime factors of (-80)/(-44) + (-2)/(-11)?
2
Let p = 0 + 4. Suppose -3*t = -p*t + 14. List the prime factors of t.
2, 7
Suppose 0 = -2*i + 4*o - 8, 4*i - 20 = -2*o + o. Suppose -3*h + 5 = n - i, 0 = 3*n - 4*h + 12. List the prime factors of (n + -1)*(-9)/1.
3
Let t(b) = 70*b**2 + 1. Let v be t(-1). Suppose 0 = -2*l + 11 - v. What are the prime factors of 8/(-6)*l/4?
2, 5
Let w be (1 - 4)/((-3)/2). Let b(s) = -s**3 + 5*s**2 + 7. Let h be b(5). Suppose -w*k - h = -2*u - k, 25 = 5*u - 5*k. What are the prime factors of u?
2
Let g(j) = -3*j**2 + 4*j + 2. Let u be g(2). Let s = 11 + u. What are the prime factors of s?
3
Suppose 3*b = -12, -2*b - 2*b = -5*w + 51. Let f = -8 + 8. Suppose f = -w*o + 3*o + 28. What are the prime factors of o?
7
Suppose 199 + 1 = 4*c. List the prime factors of c.
2, 5
Let k = 3 - 6. Let d(w) = -w**2 - w - 2. Let h be d(k). Let u = 11 + h. List the prime factors of u.
3
Suppose 4*a + 1 - 13 = 0. What are the prime factors of -1 + (a + 33 - 1)?
2, 17
Suppose -1555 = -10*d + 665. What are the prime factors of d?
2, 3, 37
Suppose 4 = -11*m + 13*m. Let i(r) = 6*r**3 - 2*r**2 - 3*r + 2. What are the prime factors of i(m)?
2, 3
Suppose 0 = 3*j - 151 + 40. List the prime factors of j.
37
Suppose -k = -0*k - 6. Suppose k*n - 3*n - 81 = 0. List the prime factors of n.
3
Suppose -3*a + 4*h = -50 - 31, -a = -2*h - 25. Suppose -z - 4*c - 1 = -a, -5*z = -2*c - 40. What are the prime factors of z?
2, 5
Let d = -25 - -50. What are the prime factors of d?
5
Let i = 4 + -8. Let s be 6/4*(-8)/6. Let u = s - i. What are the prime factors of u?
2
What are the prime factors of 4 + -46*(-2)/4?
3
Suppose 5*v + 174 = 1054. What are the prime factors of 6/15 - v/(-10)?
2, 3
Suppose 2*i - 48 = -a - i, -256 = -5*a + i. List the prime factors of a.
3, 17
Let u(k) = -k**3 + 10*k**2 - 9*k + 10. Let j(t) = t**2 + 3*t - 1. Let v be j(4). Suppose w - v = -2*w. List the prime factors of u(w).
2, 5
Suppose -4*x - 3*b = -9, 4*x + 9 = 4*b - b. Suppose x = -j - 7 + 35. List the prime factors of j.
2, 7
Suppose 9 = 3*z - 6. Suppose 5*g + 2*k - 7*k = 45, 0 = -3*g - 2*k + 7. Suppose z*f = -g, f - 6 = -2*s + 1. What are the prime factors of s?
2
Let y = 306 + -183. What are the prime factors of y?
3, 41
Let f(t) = -8*t - 4 + 0 - 19*t + 5*t. Let k be f(-4). Suppose 5*y - o = k, y - 4*o - 6 = 7. What are the prime factors of y?
17
Let r(f) be the third derivative of -f**4/24 + 4*f**3/3 + f**2. What are the prime factors of r(0)?
2
Let n be (-3)/9 - (-70)/3. Let w = -6 + n. What are the prime factors of w?
17
Suppose d = 4*d - 9. Suppose -d*v = v - 52. List the prime factors of v.
13
What are the prime factors of 2*(2 + (-3)/(-2))?
7
Suppose -2*a = o - 3*a - 33, 2*a = 10. List the prime factors of o.
2, 19
Let o = 3 + -5. Suppose 0*f + 2*f = 10. Let a = f + o. List the prime factors of a.
3
Let w be 22/(-18) - (-8)/36. Let x = 2 + w. Let l = x + 10. List the prime factors of l.
11
Let v(o) be the first derivative of -o**2 - 5*o - 1. What are the prime factors of v(-4)?
3
Let b = 8 - -34. Suppose 0*h + 3*h + 23 = x, 0 = -2*x + 5*h + b. What are the prime factors of x?
11
Suppose x = -10 + 25. Let y = 18 - x. List the prime factors of y.
3
Let i be (-3 - -2)/(2/(-6)). Suppose -2*l + 77 - 18 = 5*p, 16 = 2*p - i*l. List the prime factors of p.
11
Let q = -151 - -264. What are the prime factors of q?
113
Let m(h) = -h**3 - 4*h**2 + 1. Let s be m(-6). Suppose -4*d - 15 = -4*p + s, 5*p + d = 104. What are the prime factors of p?
3, 7
Suppose 14 - 6 = 4*c. List the prime factors of c.
2
Suppose 5*b - 287 = 73. What are the prime factors of b?
2, 3
Let c(t) = 60*t**3 - t + 1. Let x be c(1). Let y = -34 + x. List the prime factors of y.
2, 13
Suppose 0 = 3*c - 0*c - 33. What are the prime factors of c?
11
Suppose -5*f - 83 = -513. What are the prime factors of f?
2, 43
Let h be (-48)/9*18/4. List the prime factors of (9/(-12))/(1/h).
2, 3
Suppose 0 = 2*j + j - 27. List the prime factors of j.
3
Let m = -120 + 193. List the prime factors of m.
73
Let t = 24 + 13. What are the prime factors of t?
37
Let j(b) = 7*b**2. Suppose -z - 4*z - 5 = 0. List the prime factors of j(z).
7
Let s = -287 - -512. Suppose 2*w + 48 = -5*j + s, -2*w + 72 = 2*j. What are the prime factors of j?
5, 7
Suppose 18 = 5*v + 2*b - 52, 0 = -3*b - 15. Let h = v + -9. List the prime factors of h.
7
Let y = 798 - 444. List the prime factors of y.
2, 3, 59
Let d = 0 - 4. What are the prime factors of (-2)/d + 27/6?
5
Suppose 0 = 5*o - 161 + 11. What are the prime factors of o?
2, 3, 5
Let b(m) = -2*m**2 + 3*m + 1 + 6*m**2 + 0*m**2. List the prime factors of b(-3).
2, 7
Let m = 10 + -8. Suppose m*l - 110 = -3*l. What are the prime factors of l?
2, 11
Let l = 8 + -7. What are the prime factors of l/(-2) - (-123)/6?
2, 5
Suppose 3*a - 66 - 39 = 0. List the prime factors of a.
5, 7
Let a(d) = d**3 - 10*d**2 + 10*d + 7. Let o be a(9). Let b = o + -25. Let m(n) = -n - 5. What are the prime factors of m(b)?
2
Suppose -v + m + 151 = 3*v, 3*v - 4*m - 123 = 0. List the prime factors of v.
37
Let g(c) = 6*c - 1. Let z be g(-1). Let o = z + 11. What are the prime factors of o?
2
Let n be 12*(0 + 1/3). Suppose -3*d + n*d = 9. What are the prime factors of d?
3
Let j = 4 + 0. Let t be (-2094)/(-2 | {
"pile_set_name": "DM Mathematics"
} |
-12)*2)/1.
-3
What is ((-6)/(-27))/((-119)/51)?
-2/21
Evaluate 8*(-3)/18*(-2)/(-4).
-2/3
Evaluate (35/15)/(-7)*-6.
2
Evaluate (3/((-18)/(-1)))/(2/9).
3/4
What is the value of 6/18*6/9?
2/9
What is ((-4)/(-10))/(((-65)/(-75))/13)?
6
(153/30)/(-17)*4/6
-1/5
What is the value of 6/((-2)/16*112/(-21))?
9
What is the value of 72/(-264)*4/(-3)?
4/11
What is ((-12)/(-6)*-2)/(33/11)?
-4/3
(-8*(-8)/(-48))/(1/3)
-4
What is (4/(-2)*(-51)/34)/3?
1
Calculate (16/(-140))/((-3)/(-15))*-14.
8
Evaluate (1/40)/(69/345).
1/8
((-2)/8)/(1/(8/(-11)))
2/11
(-3)/10*84/63
-2/5
6*2/44*11
3
((-1)/12*1)/((-49)/56)
2/21
What is the value of (4/3*(-45)/6)/2?
-5
What is the value of (-9)/15*(196/21)/7?
-4/5
2/((5/10)/(-1))
-4
What is the value of ((-100)/5)/4*(-3)/(-18)?
-5/6
4/21*60/(-40)
-2/7
Calculate 630/(-189)*2/(-60).
1/9
What is (-18)/(-39)*11*3/99?
2/13
What is -5*(288/(-20))/(-18)?
-4
What is the value of (38/(-171))/((-4)/(-6))?
-1/3
Calculate 5/(2*5/(-20)*-2).
5
16/4*6*1/16
3/2
What is (4/10)/((-26)/195)?
-3
What is the value of (3/(-2))/(60/(-280))?
7
Evaluate -3*((-190)/80)/(-19).
-3/8
Evaluate (36/(-63))/((-1)/1).
4/7
What is 3*3*202/303?
6
Calculate (2/4)/(15/6).
1/5
Evaluate 0*(2/6)/(6/9).
0
What is (2/8*-6)/(-3)*-6?
-3
Evaluate (1/(-14))/((-2)/21).
3/4
What is 130/(-39)*(-12)/140?
2/7
What is (-348)/(-261)*21/4?
7
(-2*(-1)/6)/(6/6)
1/3
Calculate -4*1*(-70)/(-56).
-5
Calculate 103/103*(-2)/3*-6.
4
((-9)/30)/(102/85)
-1/4
4/(-2)*16/(-32)
1
-3*1/120*-4
1/10
(-24*16/(-256))/((-5)/(-2))
3/5
(10/(-120)*-8)/((-2)/(-12))
4
Calculate 28/7*((-66)/12)/(-11).
2
What is ((-2)/(-7))/((-12)/84)?
-2
Calculate (-32)/608*(-2)/1.
2/19
Calculate ((-210)/(-20))/(6/4).
7
Evaluate ((-25)/210)/((-30)/18).
1/14
What is (3/(-45))/(2/(-12))?
2/5
Calculate ((-156)/(-15))/13*125/120.
5/6
Calculate (-3)/2*6*32/72.
-4
Evaluate 84/4*-5*5/(-75).
7
What is the value of (-984)/(-246)*2*(-1)/(-1)?
8
Calculate ((-4)/(-10))/(16/(-300)*3).
-5/2
((-40)/5)/(-4)*1/(-2)
-1
((-8)/6)/(-4)*(-3)/(-1)
1
What is the value of (2*2)/((100/(-8))/(-25))?
8
Evaluate -3*(-4)/120*-4.
-2/5
Evaluate (28/(-140))/(6/45).
-3/2
Evaluate 1*8/(-20)*-1.
2/5
What is ((-9)/((-81)/3))/(10/(-5))?
-1/6
4/(64/20)*4
5
What is ((-17)/((-1275)/15))/(6/5)?
1/6
((-11)/99)/(2/3)
-1/6
Calculate (11/(-33))/((-1)/(-1)).
-1/3
What is 6*(-2)/(-8)*(-84)/315?
-2/5
What is (-3)/30*(-48)/40*-5?
-3/5
What is (60/(-36))/(2/((-12)/(-2)))?
-5
What is (4/10)/(39/15)?
2/13
What is the value of 340/255*9/(-3)?
-4
What is (-8)/(-3)*(-369)/(-328)?
3
What is the value of (18/15)/(10/(-25))?
-3
What is the value of ((-6)/15)/((-8)/(-20))?
-1
What is the value of ((-6)/(-9))/(-2)*-1*9?
3
Calculate 7/(-3)*(-34)/119.
2/3
What is the value of 6/54*(-3)/(-2)?
1/6
(-3)/(((-27)/(-4))/9)
-4
What is the value of 11/(22/(-24))*3/6?
-6
Evaluate (-11)/2*(-1240)/682.
10
Evaluate 2*1*((-48)/(-20))/(-12).
-2/5
Calculate (42/(-18))/(-7)*18.
6
((-10)/(-5))/((-14)/2)
-2/7
(2/44)/(13/104)
4/11
(16*-1)/2*1/2
-4
What is (-12)/18*30/4?
-5
What is the value of 6/10*2*(-80)/(-24)?
4
Calculate ((-18)/27)/((-14)/3).
1/7
(4/(-12))/(3/18*-1)
2
Evaluate -2*(-3)/(-12)*(-50)/5.
5
(-30)/150*1/(-4)*25
5/4
Calculate (3/(-3))/(((-6)/15)/(-2)).
-5
What is ((-23)/(-506))/(2/(-8))?
-2/11
What is (-1)/(((-340)/34)/(10/(-4)))?
-1/4
Evaluate 588/168*1*2/42.
1/6
What is -18*((15/(-9))/5)/(-1)?
-6
(-2)/(-10)*-4*(-1270)/127
8
Calculate ((-36)/(-63))/((-3)/(21/(-2))).
2
147/(-14)*12/21
-6
Calculate (-8)/(-10)*(-25)/30.
-2/3
What is (32/1)/4*8/16?
4
What is (2/(-3)*2)/(15/(-45))?
4
Calculate 39/26*(2/4)/1.
3/4
-2*(-1)/(-2)*(-6)/(-21)
-2/7
What is the value of (76/(-19))/(6/3)?
-2
Evaluate 1/((-2)/6)*1.
-3
What is ((-7)/((-7)/3))/(6/(-2))?
-1
(28/(-63))/4*(-14)/7
2/9
((-2)/22)/((12/(-33))/2)
1/2
((-4)/10)/(27/45)
-2/3
Evaluate ((-28)/(-42))/(-4*1/3).
-1/2
Evaluate 8/(-684)*-6*3/(-2).
-2/19
Calculate (96/36)/((-70)/21).
-4/5
What is (84/168)/(2/24)?
6
What is ((-416)/78)/(10/(-15))?
8
(-1)/(4/(8/(-2)))*0
0
What is (3/(-4))/(75/40)?
-2/5
What is the value of -2*3*(-4)/144?
1/6
Calculate ((-2)/(-8))/(3/24).
2
What is the value of ((-2)/(-5))/((-6)/5)?
-1/3
Evaluate ((-648)/8)/9*6/6.
-9
What is (8/40)/((-3)/15)?
-1
(4/3)/(22/(-3))
-2/11
(3/4)/((-24)/128*-28)
1/7
Evaluate (6/(-5))/(((-399)/70)/19).
4
Evaluate 4/45*(-95)/(-19).
4/9
What is the value of (-3)/5*30/6?
-3
Calculate (16/(-12))/((-1)/(-6)*-4).
2
What is (-14)/(-105)*10*(-18)/4?
-6
Calculate (475/30)/(-19)*(-56)/40.
7/6
Evaluate 2/1*(-12)/6.
-4
Evaluate (18/(-180))/((-2)/(-16)).
-4/5
(8/(-25))/(2/(-20)*-4)
-4/5
Calculate ((-12)/10)/(((-144)/8)/(-9)).
-3/5
Evaluate 2/8*5/(-10)*-6.
3/4
(8/14)/((-2)/14)
-4
(2/10*2)/(-7)*10
-4/7
What is 3/3*(-10)/(-5)?
2
What is the value of ((252/35)/(-9))/(54/(-5))?
2/27
Calculate 55/2*(-220)/(-550).
11
(-2)/(-2)*14/7*2
4
Calculate (2/(-3))/((-15)/(405/6)).
3
4/(-6)*(-3)/4
1/2
What is the value of -1*(-4)/((-8)/(-2))?
1
Calculate 9/12*2/(-6)*-2.
1/2
Evaluate 20/4*-2*1/2.
-5
Calculate (-2)/36*3*0/2.
0
Evaluate ((-24)/308)/((-2)/14).
6/11
What is (-2)/18*4/(-4)*3?
1/3
What is ((-2)/(-7))/((-8)/56)?
-2
What is the value of ((756/(-48))/21)/(1/(-4))?
3
What is the value of 1/((-2)/(-2))*(-1)/(-1)?
1
(2/(-4))/(6*(-22)/(-144))
-6/11
What is the value of (1*(-2)/7)/(2/(-42))?
6
Calculate ((-12)/4*1)/(1/(-1)).
3
What is ((-6)/8)/((-17)/(-68))?
-3
What is the value of (-31)/62*4/2?
-1
10/2*(-9)/(-225)*2
2/5
What is -4*4/(-32)*2*-2?
-2
Calculate (-20)/(60/(-6))*2/(-24).
-1/6
Calculate 30/(-4)*(-5)/(-30).
-5/4
Evaluate ((-60)/8)/(-3)*(-4)/60.
-1/6
What is (3/(-2))/((-55)/22)?
3/5
What is 5/(-2)*-1*(-2)/(-10)?
1/2
What is (-2)/((6/(-8))/(72/320))?
3/5
Evaluate (5/(-2))/((3/(-2))/(-3)).
-5
7/21*6/(-1)
-2
Calculate 4*3/120*-6.
-3/5
Evaluate 52/16*28/(-182).
-1/2
Calculate (5/(-3))/((-19)/(-57)*-5).
1
Evaluate (2/6)/(30/10).
1/9
Evaluate ((-13)/((-416)/(-40)))/((-5)/6).
3/2
What is ((8/4)/36)/((-2)/(-6))?
1/6
(-5)/15*6*(-12)/8
3
What is (6/3)/6*-15?
-5
(1/(-1))/(5/5)
-1
(-1)/1*((-3)/3)/1
1
Evaluate (4*21/(-70))/((-27)/(-30)).
-4/3
Calculate (9/15)/((-1)/5).
-3
(-25)/(-5)*(3/(-5))/3
-1
What is the value of (8/6)/(-2)*252/(-672)?
1/4
Calculate (2/6)/((-147)/252).
-4/7
Calculate (10/210)/(2*(-1)/(-12)).
2/7
Calculate ((-4)/(-104)*13)/(12/(-9)).
-3/8
What is ((-26)/156)/(9/4)?
-2/27
(-1)/((153/2)/9)
-2/17
What is the value of (-10)/4*(-8)/(-40)?
-1/2
What is the value of (4/((-8)/(-3)))/(6/20)?
5
Evaluate (6*(-3)/(-60))/(12/10).
1/4
2/(4*(-5)/2)
-1/5
What is (-48)/(-16)*(16/6)/4?
2
Calculate (-4)/48*-3*12.
3
Evaluate (6/4)/(48/(-8)).
-1/4
((-8)/(-6))/(5/(-120)*-16)
2
Evaluate ((-15)/(-30))/((-25)/10).
-1/5
Evaluate (870/(-58))/(6/2).
-5
What is (-3)/15*(-60)/18?
2/3
Calculate ((-3)/189*9)/((-1)/2).
2/7
Calculate (2/(-1))/((-34)/(-17)).
-1
Evaluate ((-136)/(-51))/(12/9).
2
What is (3*2)/(798/(-57))?
-3/7
Evaluate (-27)/18*(-10)/15.
1
32/48*(-36)/336
-1/14
What is ((-20)/8)/((-2)/4)?
5
What is 8/(32/20)*-1?
-5
Evaluate ((-16)/6)/(-2)*(-45)/(-150).
2/5
Calculate ((-1)/((-9)/(-1)))/((-20)/(-24)).
-2/15
Evaluate (10/(10/(-2)))/3*3.
-2
Calculate (6/40)/((-117)/(-104)).
2/15
Calculate 2/5*(-20)/16.
-1/2
What is the value of 15/25*(-50)/18?
-5/3
15/9*(-16)/(-120)
2/9
Evaluate ((-220)/(-24))/11*(-3)/10.
-1/4
What is the value of (-12*(-9)/180)/(6/70)?
7
Calculate 84/48*6/7.
3/2
Calculate 3/4*(-16)/(-504)*-6.
-1/7
What is the value of (-9)/2*64/48?
-6
Evaluate ((-4)/6)/((-216)/243).
3/4
What is the value of -5*4/80*6/(-3)?
1/2
What is (-2)/(24/(-15))*4/50?
1/10
What is 8/(-14)*54/36?
-6/7
Evaluate -18*(232/96)/(-29).
3/2
What is the value of 8/((-3)/(6/4))?
-4
Calculate ((-54)/(-162))/((-3)/18*-1).
2
Evaluate 8/2*5/5.
4
2/(-35)*7*(-2)/(-4)
-1/5
(-24)/(-18)*(-8)/((-1360)/15)
2/17
What is the value of (-3)/9*-12*(-2)/(-4)?
2
What is the value of (-11)/((-99)/(-6))*3?
-2
(2/(-6))/(5/30)
-2
What is the value of 12/2*5*4/180?
2/3
What is (938/804)/((-2)/12)?
-7
Evaluate 3/10*(-15)/(-9)*-8.
-4
Evaluate (-1)/((-2)/((-6)/3)).
-1
What is the value of (7*8/28)/(-9)?
-2/9
What is (-3)/15*30/(-9)?
2/3
((-1)/(8/(-10)))/((-24)/32)
-5/3
What is the value of ((-6)/63*-7)/(3/(-6))?
-4/3
Evaluate -3*5/15*(-2)/7.
2/7
Evaluate (-1)/(1/5)*11/11.
-5
(-1)/(-18)*(-7)/((-84)/27)
1/8
Calculate (-2)/5*(-5)/((-25)/5).
-2/5
What is the value of 3*(1/(-2))/((-9)/6)? | {
"pile_set_name": "DM Mathematics"
} |
e first derivative of -167167407*j**3 + 261839233?
-501502221*j**2
What is the second derivative of 30665886*h**2 + 39837643*h wrt h?
61331772
What is the third derivative of 281*n**6 - 5356*n**3 + n**2 - 23645990 wrt n?
33720*n**3 - 32136
Find the third derivative of 14603329*n**6 + 401*n**2 - 48902 wrt n.
1752399480*n**3
Find the third derivative of -69257368*u**4 - 4*u**2 + 24*u - 10913 wrt u.
-1662176832*u
What is the third derivative of 2441575*m**5 - 19065047*m**2?
146494500*m**2
Differentiate 58958987*s**3*t - 5221*s**3 + 6168*s**2 - 2*s*t**4 - 2 wrt t.
58958987*s**3 - 8*s*t**3
What is the first derivative of -2494*i*n**2*w - 809*i*w + 237*i - 4*n**2*w - 166*n**2 + 53*w wrt n?
-4988*i*n*w - 8*n*w - 332*n
What is the first derivative of -4142303*b**3*s - 2*b**2*s + 4366*s + 961 wrt b?
-12426909*b**2*s - 4*b*s
What is the second derivative of -124*g**5*l**3 - 6085*g**3*l**3 + 7*g*l**2 - 3*g*l + 4001*l**3 + 3*l**2 wrt g?
-2480*g**3*l**3 - 36510*g*l**3
What is the first derivative of -35726712*t**3 - 110633485?
-107180136*t**2
Find the first derivative of 1323518*a**2 + 76*a + 630756607 wrt a.
2647036*a + 76
What is the derivative of -4616275*b**4 + 16721372?
-18465100*b**3
Find the second derivative of -46095689*v**2 + 9864752*v.
-92191378
Find the second derivative of -408*h**5 - 21615*h**4*u - h*u - 5*h - 9501*u + 24 wrt h.
-8160*h**3 - 259380*h**2*u
Find the second derivative of 29531666*d**2 + 483516*d + 3.
59063332
Differentiate 44986882*f - 109361572.
44986882
What is the third derivative of -1242100840*q**4 - 24*q**2 - 6795252 wrt q?
-29810420160*q
Find the second derivative of 3662459*l**2*n**3 - 38*l*n**2 + 11031*n**3 wrt l.
7324918*n**3
What is the third derivative of -194672*y**5 - 97*y**4 - 369664681*y**2 wrt y?
-11680320*y**2 - 2328*y
Find the first derivative of 1949*a*i**3*n + a*i*n**2 + 119085*a - 31*i**3*n**2 + 325*i*n + 2750*n wrt a.
1949*i**3*n + i*n**2 + 119085
What is the second derivative of 306164*f*i**2*k**2 + 40*f*i**2*k + 4*f*i - 1971*f*k**2 + 86*i*k - 2 wrt i?
612328*f*k**2 + 80*f*k
Find the third derivative of 38469158*o**5 + 31804*o**2 - o - 160.
2308149480*o**2
What is the second derivative of 75348306*d**3*f**2 - 29805607*d**3 + 4*f wrt f?
150696612*d**3
Find the second derivative of 94024*f**2*l + 4*f**2 + 82*f*l + 125 wrt f.
188048*l + 8
What is the third derivative of -2*h**2*w**3 + 6*h**2*w**2 - 2*h*w**2 + 3*h - 2380455*w**3 + 2*w + 56500 wrt w?
-12*h**2 - 14282730
Find the third derivative of 8788483*h**5 + h**4 - 1222554894*h**2 wrt h.
527308980*h**2 + 24*h
What is the third derivative of n*x**4 + 12*n*x**3 - 2*n*x**2 - 8222*n*x - 2*n - 4077*x**4 + 5*x**3 + 254*x**2 - 1 wrt x?
24*n*x + 72*n - 97848*x + 30
Find the second derivative of -1093575*a**2*v**2 + 12*a**2*v + 23*a*v**2 + 8*a*v + 3*v**2 - 510*v + 1 wrt a.
-2187150*v**2 + 24*v
What is the derivative of -4*j**4 + 990387*j - 14878151?
-16*j**3 + 990387
Find the second derivative of -3*b**2*c*h**3 + 16178264*b**2*c*h**2 - 609*b*c + 385*b*h**3 + 9*c*h - 3*c wrt b.
-6*c*h**3 + 32356528*c*h**2
Find the second derivative of 209210*l**4*n - 2*l**4 - l**2 - l*n + 2882912*n wrt l.
2510520*l**2*n - 24*l**2 - 2
Find the third derivative of 57346*t**2*u**4 - 52*t**2*u**3 + 153653*t**2*u**2 + 27*t**2 wrt u.
1376304*t**2*u - 312*t**2
What is the derivative of 8879*c*q*r + 1701*c*q + c + 2675*q*r - 34*q + 39 wrt r?
8879*c*q + 2675*q
Find the first derivative of -40*d**4 - 115661*d**3 - 62089083.
-160*d**3 - 346983*d**2
What is the first derivative of 2440*g**2*q - 91266869*g**2 + 4120*g*q**2 - 7*q**4 wrt q?
2440*g**2 + 8240*g*q - 28*q**3
Find the second derivative of 47000639*f**2 - 3722345*f.
94001278
What is the second derivative of -6689620*m**3 - 2*m**2 - 12473963*m - 3 wrt m?
-40137720*m - 4
What is the second derivative of -387500085*x**5 + 856*x - 23176 wrt x?
-7750001700*x**3
What is the second derivative of -26478799*y**2 + 20945478*y wrt y?
-52957598
What is the derivative of -337938510*d**3*g + 105377*g + 352 wrt d?
-1013815530*d**2*g
What is the third derivative of -r**6 - 5799854*r**4 + 54*r**2 + 1136*r - 1 wrt r?
-120*r**3 - 139196496*r
What is the first derivative of 20*y**2 + 1098663*y + 63938569 wrt y?
40*y + 1098663
Find the third derivative of 16*f**6 + f**4 - 4550755*f**3 - 34669504*f**2 wrt f.
1920*f**3 + 24*f - 27304530
Find the second derivative of 785*m**3 + 33506*m**2 - 20232798*m wrt m.
4710*m + 67012
Find the third derivative of -15572*w**5 - 804*w**3 - 30*w**2 + 3503068*w wrt w.
-934320*w**2 - 4824
What is the second derivative of -90119099*l**3 + 71859*l + 5 wrt l?
-540714594*l
Find the third derivative of 31280607*i*s**3 - 2*i*s**2 - 4*i*s - 2*i + 5*s**2 + 25226 wrt s.
187683642*i
What is the first derivative of -36643258*a*n**3 - 5*n**3 - 2*n**2 - 12160*n + 19 wrt a?
-36643258*n**3
What is the third derivative of 6*b**4*m + 5*b**4 + 17*b**3*m - 410*b**3 + 1108510*b**2*m + b**2 wrt b?
144*b*m + 120*b + 102*m - 2460
What is the first derivative of 2654*g*i + 139*g + 10579*i + 372 wrt g?
2654*i + 139
Differentiate 2*z**3 - 3*z**2 + 38733*z - 35249243 with respect to z.
6*z**2 - 6*z + 38733
Find the first derivative of -k**3 - 86*k**2 - 32471*k + 756161798.
-3*k**2 - 172*k - 32471
What is the third derivative of 2463*a**2*l**3 - 856*a**2*l + a**2 + 57456*a*l**3 - 8*a*l**2 + 2003*l**2 wrt l?
14778*a**2 + 344736*a
What is the second derivative of 5*b**3 + 12345215*b**2 + 289287433*b?
30*b + 24690430
What is the first derivative of -50268303*k**4 - 220108755?
-201073212*k**3
What is the first derivative of 524*a*o**3 + 3428*a*o**2*y**2 + 72*o**3*y**2 - 731*o**2 + 3*o*y**2 - 3*o wrt a?
524*o**3 + 3428*o**2*y**2
What is the second derivative of 241930*t**4 - 3*t**3 + 2*t**2 + 4283611*t?
2903160*t**2 - 18*t + 4
Find the second derivative of 1558*j*k**2 - 50*j*k*p**3 - j*k*p**2 - 12*j*k*p - 38*j*p**3 + k**2*p**3 + 1261*k**2*p**2 + 2*k*p**3 + k*p**2 + 8*p**2 wrt k.
3116*j + 2*p**3 + 2522*p**2
What is the second derivative of 4635*m*n*u**2 + 50*m*n*u + 3901*m*n - m*u + 4*m + 1986*n*u**3 + 2*n*u**2 wrt u?
9270*m*n + 11916*n*u + 4*n
Find the second derivative of -109016*g*r**2 + 603969*g*r - g - 12*r**2 wrt r.
-218032*g - 24
Find the third derivative of 21860132*a**3 + 20801597*a**2.
131160792
What is the third derivative of -4*q**4 - 48187310*q**3 + 573647195*q**2 wrt q?
-96*q - 289123860
What is the second derivative of -6*c**3*t**2 - c**3 + 8108*c**2*t + 2*c**2 - 3*c*t**2 - 5*c*t + 39632*t**2 wrt c?
-36*c*t**2 - 6*c + 16216*t + 4
Find the first derivative of -3*c*y**3 - 6049302*c - 12640020*y**4 wrt y.
-9*c*y**2 - 50560080*y**3
Find the third derivative of -52616186*z**6 - 5*z**2 - 3*z + 655011.
-6313942320*z**3
Find the first derivative of -399*t**2 - 371630*t + 504387413 wrt t.
-798*t - 371630
What is the second derivative of -27*c**3*g*l**2*v**2 + 2*c**3*g + 61*c**3*l**2*v + 12*c**2*g*l*v - 9*c*g*l**2*v - 5*c*g*v + 6040*g*l**2*v**2 - g*v wrt v?
-54*c**3*g*l**2 + 12080*g*l**2
Differentiate 30*i**2*n**3 - 25*i**2*n**2 - 1426*i - 165*n**3 + 9849*n**2 - 10*n with respect to i.
60*i*n**3 - 50*i*n**2 - 1426
What is the third derivative of -86645980*d**3 + d**2 + 21*d + 11227 wrt d?
-519875880
Differentiate -7144*a*l*t - 1107*a*l - 93*a*t - 210899*l + 7*t with respect to t.
-7144*a*l - 93*a + 7
What is the second derivative of 2890098*l**5 + l**4 - 4070945*l?
57801960*l**3 + 12*l**2
What is the second derivative of 966*q*w**2 + 77*q*w + 1860*w**3 - 45203*w wrt w?
1932*q + 11160*w
Find the second derivative of -2*d**4 + 73712448*d**3 - 38*d + 2394755.
-24*d**2 + 442274688*d
What is the second derivative of -2153*y**3 + 4489*y**2 + 58665662*y wrt y?
-12918*y + 8978
What is the first derivative of -374253*u**3 - 185*u + 220292524?
-1122759*u**2 - 185
Find the first derivative of -1189835*d*y**3 - 2*d*y**2 + 18116593*d - 2*y wrt y.
-3569505*d*y**2 - 4*d*y - 2
What is the third derivative of -48761*f**4 + 227*f**3 - 4*f**2 - 548*f - 342?
-1170264*f + 1362
What is the first derivative of 201970454*t + 57138209?
201970454
What is the third derivative of 38758570*b**3 - 8*b**2 - 7*b + 169966 wrt b?
232551420
Find the third derivative of 6136*g**3*v**2 + 2*g**3*v + 2462*g**3 + 130*g**2*v**2 - 10*g**2*v - g**2 + 2*g*v**2 + 3*g - 1012 wrt g.
36816*v**2 + | {
"pile_set_name": "DM Mathematics"
} |
+ 2*x**3 + x**2)*((1 + 3 - 2)*(1 + 0 - 3) + 1 + 2 - 4 - 5013 - 71 + 1177) to f*x**3 + g + t*x**2 + i*x and give f.
-7824
Rearrange (3*w - 7*w + 2*w)*(-1 + 1 + 2) + (29*w - 11*w - 11*w)*(1 - 5 + 2) + (2*w - 4*w + 0*w)*(0 + 13 + 9)*(1 + 4 - 6) to x + t*w and give t.
26
Rearrange g**2 + 85 + 3*g**2 - g**4 - 56 - 25 to the form u*g**3 + n*g + q*g**4 + f + p*g**2 and give f.
4
Rearrange -16*q**3 + q**2 + 35*q**3 + 9*q - 4*q**4 - 16*q**4 - 18*q**3 + q to the form k*q**4 + n*q**3 + y*q + v + s*q**2 and give s.
1
Rearrange 1045*d - 681*d - 1284*d - 8211*d to the form s*d + x and give s.
-9131
Express -564 + 2*s + 40 - 488 + 170 as i + h*s and give h.
2
Rearrange (19 + 14 + 6)*(-32*c + 30*c - 1 - 7) to u + a*c and give a.
-78
Express 3507*i - i**2 + 43 - 44 - 3509*i - 520*i**3 as w*i + n + l*i**3 + g*i**2 and give g.
-1
Express -1613*i - 34 - 2*i**3 + 3274*i - 1663*i - 14*i**2 in the form w*i**2 + m*i**3 + o*i + a and give a.
-34
Express (66 + 67 - 131 - 12*n**2)*(-5 - 51 - n - 20) as i + f*n**3 + v*n**2 + g*n and give v.
912
Express -39 - 58 - 180*w + 259 + 170*w + 104 as t + q*w and give t.
266
Express z**2 - 1 + 6*z**2 + 490*z - 6*z**2 + 4*z**2 - 3*z**2 in the form v*z + r + h*z**2 and give r.
-1
Rearrange -16*x**3 + 101 + 36*x**3 - 33 + 26 - 21*x**3 to the form a + c*x**3 + j*x**2 + d*x and give a.
94
Rearrange -2900*s - 905*s - 659*s - 3076*s + 1312*s to b + c*s and give b.
0
Express (-2 + p + 2)*(3*p - 4*p + 3*p) + (5*p**2 - 29*p**2 + 114*p**2)*(0 - 2 - 6) as r*p + h + f*p**2 and give h.
0
Rearrange (257 + 54 - 37)*(3 + 4 + 4*n - 4) to s + b*n and give s.
822
Rearrange -8*u**3 - 13783*u**4 + 10 + 10*u**3 + 13777*u**4 + 3*u**2 to the form p*u + q*u**3 + a + s*u**2 + x*u**4 and give s.
3
Rearrange -8 - 12 - 138*i**2 + 14 + 280*i**3 + 138*i**2 to k + v*i**2 + f*i**3 + h*i and give f.
280
Rearrange (-3 + 4 - 2)*(27 - 27 - 50*y) + (-2 + 0 + 0)*(-2 - y + 2) + y + y + y - y + y + y to the form a*y + t and give a.
56
Rearrange (6*l + 19*l + 5*l**2 - 31*l + 3)*(1345*l - 1345*l - 37*l**2) to o + x*l**4 + h*l**3 + p*l**2 + d*l and give x.
-185
Express 11*q**3 - 37*q**3 + 68*q + 1247*q + 13*q**3 + 14*q**3 as w + y*q + t*q**2 + d*q**3 and give y.
1315
Express (0*c - 5 + 4*c + 3)*(-20068*c - 838 - 764 + 1604) in the form l + v*c + k*c**2 and give v.
40144
Rearrange 2 - 2 - 3515897*p**2 + 118*p + 3515885*p**2 + 165*p to the form o + v*p + z*p**2 and give z.
-12
Rearrange 12*k**3 + 35*k**3 - 1 + 2776*k**2 - k - 2759*k**2 to the form s*k**2 + i + d*k + j*k**3 and give i.
-1
Express (44*h**2 + 7*h**4 - 44*h**2)*(-487 - 400 - 20) as q*h**3 + g + r*h + y*h**2 + d*h**4 and give d.
-6349
Rearrange -2*a + 2*a - a + (-4 + 2*a + 4)*(4 - 3 + 0) + 3*a - 2 + 2 + (5 - 4 + 1)*(-32*a + 13 - 13) to the form c*a + l and give c.
-60
Express 48*m**2 - 2752 - 46*m**2 - 638 as w + y*m + u*m**2 and give u.
2
Express 2*u**3 + 915 - 1095 + 280*u**2 - 281*u**2 as n*u**2 + g*u**3 + w + q*u and give w.
-180
Express 124041 - 124041 - 641*k + (-3*k + 0*k - 2*k)*(4 - 4 + 1) in the form q*k + j and give q.
-646
Rearrange y**4 + 1 - 1 + (-7*y**3 - 5 + 5)*(67 - 32 + 91)*(-6*y + 0*y + 2*y) to r*y**4 + g*y**2 + i + m*y**3 + o*y and give g.
0
Rearrange 219*i**2 + 3890 - 16*i**2 - 204*i**2 to the form p + n*i**2 + m*i and give p.
3890
Express 69*c**2 - 25*c**2 - 42*c**2 - 20*c + 6*c - 17 as b*c + d + z*c**2 and give b.
-14
Rearrange 16380 - 18845*c - 10343*c - 32764 + 16384 to q*c + h and give q.
-29188
Express 76*r + 71*r - 4 + 26*r**3 + 4*r**2 + 88*r - 236*r as s*r + a + q*r**3 + b*r**2 and give q.
26
Rearrange -238 - 159 + 2*a**2 + a + 263*a**3 - 515*a**3 + 259*a**3 + 0*a to s*a + p*a**2 + w + k*a**3 and give p.
2
Rearrange (25450*j**3 - 11355*j**3 - 9693*j**3)*(-3 + 5 - 3) to the form v + y*j**2 + t*j + r*j**3 and give r.
-4402
Express -34823 + 35128 + 2*k**2 - 8*k**2 in the form l + s*k**2 + v*k and give l.
305
Express 51*o**2 + 36*o**2 + 3 - 85*o**2 + 1034*o + 0 as s*o**2 + u + n*o and give s.
2
Express -1006*o**2 - 50*o**3 + 1006*o**2 + (-5*o + 3*o - o)*(15*o**2 + 316 - 316) as x + c*o**3 + b*o**2 + d*o and give c.
-95
Rearrange 12945*w**2 - 25858*w**2 + 101*w + 1 - 1 + 12936*w**2 to t + n*w**2 + p*w and give p.
101
Rearrange (-133*b - 136*b - 49*b - 39*b)*(-32 + 7*b + 32) to the form f + u*b + t*b**2 and give t.
-2499
Rearrange -17122*g**2 + 2*g**3 + 8563*g**2 + 8560*g**2 + 1 + 770*g**4 to r*g + n + k*g**2 + a*g**4 + o*g**3 and give n.
1
Express 390*c + 157*c + 1831 - 1831 in the form v + t*c and give t.
547
Express -13*l**2 + 144 + 107 - 16 - 310*l + 308*l as y*l**2 + g*l + a and give y.
-13
Rearrange (0*t**2 - t**2 + 2*t**2)*(5878747 - 5878747 + 7263*t) to q + w*t + h*t**2 + b*t**3 and give b.
7263
Rearrange (317479 - 635094 + 317421 + 23*w)*(-4 + 4 + 1)*(1 - 1 + 1) to k*w + j and give j.
-194
Rearrange 0*i - 21 + 4*i + 289 + 253 - 2*i to the form y + c*i and give c.
2
Rearrange (23979*g - 6438*g - 2251*g)*(2 + 0 - 1) to the form c*g + s and give s.
0
Express 96 - 57 + 2*h**2 + 3347*h - 3*h**2 - 38 as c + b*h + o*h**2 and give c.
1
Rearrange (15 - 3 + 15)*(1 - 1 - 7*s**2 + (-3 + 2*s + 3)*(-14*s + 138 - 138)) to the form f*s**2 + z + y*s and give f.
-945
Rearrange (-266*x + 272*x + 455*x)*(-5 + 3*x + 5)*(3*x + 2 - 5*x + 0*x) to the form q*x**3 + s*x + k + w*x**2 and give q.
-2766
Express -36264*q**3 + 35900*q**3 - q + 2*q**2 + 2*q**2 in the form r + l*q**2 + f*q**3 + c*q and give f.
-364
Express -486*k**3 + k + 8*k - k + 8 + 2*k**2 - 5 + 466*k**3 in the form m*k**3 + o*k + w*k**2 + d and give o.
8
Express -2 - 1058*t**3 - 1053*t**3 + 223*t - 1055*t**3 + 3168*t**3 - 3*t**2 as j*t**3 + g*t**2 + d + s*t and give j.
2
Express -6*z**3 - 3*z**4 - z**2 - 15*z**4 + 3*z - z**4 + 3*z**4 + 79 - 81 in the form r*z**4 + s*z**3 + c*z + b + l*z**2 and give r.
-16
Express 79 - 47 + 8865*c - 32 + 770*c as q + h*c and give h.
9635
Rearrange w - w**3 - 38 + 10*w**3 - 11*w**3 + 15*w**2 + 5*w**3 - 18*w**2 to o*w**2 + h*w + u + m*w**3 and give o.
-3
Express 2 + 3*c + 4*c**4 - 94965*c**3 + 94909*c**3 + 2*c**2 + 3*c - 5*c in the form o*c + b + w*c**2 + x*c**3 + i*c**4 and give w.
2
Rearrange 2*q - 98*q**3 + 0*q - 1 + 15*q**3 + 5*q**2 + 13*q**3 - 3*q to u + o*q + w*q**2 + z*q**3 and give z.
-70
Rearrange 754 + 0*p - 4780*p**3 + 4781*p**3 + 2*p**2 - 2*p to g*p**2 + x*p + u + d*p**3 and give g.
2
Express -h**2 - 13*h + 162*h**4 + h + 5*h + 6*h - 168*h**4 in the form t*h**3 + a + j*h**4 + n*h + r*h**2 and give t.
0
Rearrange (-54 + 66*s + 54)*(-3 + s + 3)*(0*s + 27*s + 25*s) to r*s**3 + l*s + c + a*s**2 and give a.
0
Express -119 + 244 - o**4 - 924*o**3 + 0*o**4 - 128 - 108*o**3 in the form w*o + h + g*o**3 + a*o**2 + r*o**4 and give h.
-3
Express (334 - 549 + 0*w + 2*w)*(51*w - 16*w + w) as n + k*w**2 + g*w and give k.
72
Rearrange -155*w**2 - 210103*w + 210103*w + 8 - 49*w**2 to o*w + j + b*w**2 and give b.
-204
Express 46*b**4 - 22*b**4 - 5*b**4 + 14*b**4 + 169*b - 1 in the form k*b**4 + g*b**2 + h*b + j*b**3 + i and give k.
33
Express (-28 - 954 + 104)*(-2 + 2 + 2*m)*(2 - 2 + 1) in the form n + w*m and give n.
0
Rearrange 18805*r + 11 - 11 + 13669*r to the form l + k*r and give k.
32474
Express -1300*o - 414 + 223*o + 415 in the form d + h*o and give d.
1
Express (-j - 4 + 4)*(-484 + 484 - 91*j**2) + (-3 + 0 + 4)*(2 + 73*j**3 - 160*j**3 + 18*j**3) in the form p + v*j**3 + y*j + a*j**2 and give p.
2
Rearrange -19 - 16 - 19 + 64 - 1460*f - 11 to g*f + a and give g.
-1460
Express (530 + 331 + 1888)*(-1 - d**4 + 1) as w*d + z + t*d**3 + l*d**2 + a*d**4 and give w.
0
Rearrange -2*z + 4 - 6 + 70*z**2 + 384*z**2 - 40*z**2 to h + v*z**2 + b*z and give b.
-2
Rearrange 12*z**4 - 140*z**4 + 4*z**2 + 114*z**4 + 12*z**4 - 5*z**3 + 3*z to k*z**2 + x*z + g*z**4 + c + a*z**3 and give c.
0
Express (1 + 2 - 1)*(3*t**3 + 93*t**2 - 93*t**2) + 74*t**2 - 74*t**2 - 954*t**3 - 166*t**3 in the form x*t**2 + s + h*t**3 + z*t and give h.
-1114
Express 160*s**4 - 8*s**3 - 60*s**4 + 4*s**2 - 51*s**4 - 5 - 47*s**4 - 2*s as x + v*s**3 + n*s**2 + l*s**4 + p*s and give p.
-2
Rearrange (11 + 0 + 9 + (53 + 71 + 26)*(1 + 1 + 0))*(-t - 1 + 1) to s*t + f and give s.
-320
Express -18833*s + 1789*s - 8062*s in the form b + m*s and give m.
-25106
Express 1 - 6 + 5301*s**2 + 5 - 1591*s**2 as w*s**2 + r + m*s and give w.
3710
Rearrange -104*o - 1293 | {
"pile_set_name": "DM Mathematics"
} |
q, 0 = -2*k + q + 65 for k.
32
Solve -2*o + 8*j + 0 - 52 = 0, -22 = 2*o - j - j for o.
-6
Solve 0 = 7*g, 4*l + 2785895*g + 64 = 2785883*g for l.
-16
Solve 0 = 3*t - 5*m - 19, 3824*t - 7653*t + 4*m + 8 = -3829*t for t.
3
Solve -4*x - 5*a = -7*a + 22, -a - 12 = 27*x + 14 - 8 for x.
-1
Solve 13*m - 3*t - 37 = 3*m + 12*m, m - 2*t = -46 + 17 for m.
-23
Solve -142*r + 2522 = -108*r - 312*r - 5*u, -r + 3 = -3*u for r.
-9
Solve 5*q - 1 = -4*u, 0*u = 2*u + 54*q - 57 + 5 for u.
-1
Solve 0*w = -w + w + 3*g + 15, 4*w - 2270*g = -2280*g - 22 for w.
7
Solve -3*m - 29 = 2*u, -365*m + 180*m - 27 = -180*m + 2*u for m.
1
Solve -6*w - a + 58 = -11*w - 2*a, 5*w - 210 = 8*w + 59*a for w.
-11
Solve -7*m + 37 = 24*m - 10*m - 131, 5*i + 4*m - 52 = 0 for i.
4
Solve -j = w + 58 - 57, 0 = 5*j - 5*w - 45 for j.
4
Solve 5*p - 119*g + 267*g = 136*g + 76, -3*p = -5*g - 1 - 8 for p.
8
Solve 2*r + 1 = -2*l + r, -113949*l - 4*r - 1 = -113944*l for l.
-1
Solve -27 = 2*t - 165189*u + 165190*u, -5*t - 3*u = -4*u - 13 for t.
-2
Solve -10*w = -d - 51, -4*w + 2127 = 3*d + 2212 for w.
2
Solve -10 = 4*m + 3*d, -77*m = -89*m + 14*m - 3*d - 4 for m.
-1
Solve -3*h + 5*h + 2*o = -38, 11*h + 6*o = 10*h + 1 for h.
-23
Solve -5*c + 25 = 4*n, 5*n + 5*c - 35 = c - 6 for n.
5
Solve -t + c - 11670 + 11686 = 0, -2*t = c - 23 for t.
13
Solve -4*j - 5*a - 1377 = -1340, -4*j - a = -2*j + a + 16 for j.
-3
Solve h - 22*f - 1 - 2 = -16*f - 7*f, -h - 17 = 6*f for h.
7
Solve -r - 9122270 + 9122254 = -5*y, -48 = 3*r + 5*y for r.
-16
Solve 3*f + 18 = -2*p, -3*p + 15*f - 20*f + 70 - 99 = 0 for p.
-3
Solve 3*t - 7*g + g = -48, -17 = -1041*t + 1039*t - 3*g for t.
-2
Solve -5*p + 3*u - 55 = 0, -394*u - 12*u = -2*p - 6094 for p.
-2
Solve 2*j + 4*d = -22, -43*j - 45*j = -86*j + 12*d + 54 for j.
-3
Solve -6*y = -24, -5*s + 2*y = -64 + 104 - 92 for s.
12
Solve 2*p = -115405*m + 115403*m + 18, 4*p - 71*m - 111 = 0 for p.
10
Solve 9*w = 14*w + 4*s + 6, -8*s + 18 = -5*w for w.
-2
Solve -116 = 9*d + 4*c, 7991 = -3*d + 2*c + 7959 for d.
-12
Solve 75 + 39 = -3*i, -95*p + 79*p + 422 = 368*p - i for p.
1
Solve -d + 18 = 4*s, -25*s + 4115 = 5*d + 4015 for s.
2
Solve -5*d + 5*w - 5 = 0, -36458*w = -5*d - 36461*w - 13 for d.
-2
Solve 4*y = n + 3*y - 14, 33 = n - 5*y + 11 for n.
12
Solve -3*t + 7 = -3*a - 14, 2295*a - 2297*a + 3 = 3*t + 7 for a.
-5
Solve 1 = -19*v - 2*g + 1, 0 = -155*v + 153*v + g for v.
0
Solve -29 = -28*d + 29*d + x, 2*d - 28 = 6*d - 3*x + 109 for d.
-32
Solve -15*g + 495 = -0*g - 315, 12*v + 2*g = 144 for v.
3
Solve -2*z + 0*z + 2*d = -36, 3*z - 419750 = 6*d - 419657 for z.
5
Solve -2*c + 56 = f, -f + 21*f + 175 + 133 = 11*c for c.
28
Solve -3*z + 4*l + 88 = 0, 7*z = -120885*l + 120884*l + 164 for z.
24
Solve 3*d - 18 = y, 367902*y = 367907*y + 45 for d.
3
Solve 4*g + t = 45, 108412*g - 108424*g + 153 = -3*t for g.
12
Solve 3679 - 3689 = -j, -5*x - 5*j = -40 for x.
-2
Solve 9*i - 3*i + 6 = 2*l, -4*l - 555*i = -560*i - 12 for l.
3
Solve 4*s = 8*l - 20, 2*l + 82*s + 1549 - 1559 = 78*s for l.
3
Solve 0 = 7*g - 5*c - 116, 3*g + 3474 = -4*c + 3536 for g.
18
Solve 18*i + 9*k - 4*k = 34*i + 17, -4*k - 9 = -k for i.
-2
Solve -3*k + 525*h = 522*h + 54, 3 = h for k.
-15
Solve 3*k + 1859 = -i + 1839, 2*i - 16 = k for i.
4
Solve 166 = 20994*k - 20991*k - 5*j, 2*j + 103 = -11*k for k.
-3
Solve s - 82 = -2*s - 4*z + 31, 449 = 14*s + 3*z for s.
31
Solve -113*n + 109*n + 5*p - 23 - 100 = 0, 7*n = -3*p + 102 for n.
3
Solve -3*d = -5*b + 68, 247 - 413 = -3*d - 10*b - 264 for d.
-26
Solve -3*a - 132 = -2*o, 9*a - 29*a + 21*a + 68 = o for a.
4
Solve -48 = -3*r + 2*r + 17*v, 2*v + 24 = -6*v for r.
-3
Solve 0 = 3*y - 4*s - 1, 2*y + 12*s + 6 = 5*y + 21 for y.
3
Solve -2*k = 3*p + 18, -99 = -9*k + 10*k + 24*p for k.
-3
Solve -4*k + 85 = -2*f - k + 89, 2*f - 25 = -0*f - f - 5*k for f.
5
Solve -7*y + 376 = 3*s, -12*s + 200 = 4*y - 26*s + 12*s for y.
52
Solve 16*j = 9*j + 2*h + 97, 5*j - 2*j + 3*h + 84 - 114 = 0 for j.
13
Solve 4*r = 6*u + 92, -3*u - 2*r - r = 2*u + 7*r - 7*r + 64 for u.
-14
Solve 0 = -a + 4*a - 246 + 255, y = 3*y - 2*a - 60 for y.
27
Solve 0 = 3*l - 5*i + 3623 - 3630, 3*i = 3*l - 15 for l.
9
Solve u + 2*b + 24 = -0*u - 3*b, -b = 2*b - 10*b + 6*b for u.
-24
Solve -3*v + 53 = 4*u, -24*v = 22*v - 55*v - 2*u + 169 for v.
19
Solve 480*m = -74*u + 77*u + 481*m - 5, -2*u = -25*m - 183 for u.
4
Solve 4*d - 19*w - 1229 = -1134, d - 2*w = -6*w - 20 for d.
0
Solve 0 = c - 40*v + 146, -367 + 157 + 180 = -3*c + 3*v for c.
14
Solve -3*m = 3582*h - 3580*h - 22, 0 = 104*m + 5*h - 441 for m.
4
Solve 5*a - 5*j - 10 = 0, 11 = 4*a + 8951*j - 8952*j for a.
3
Solve -5*g - 9*w = -115, 0 = 3*g + 606*w - 607*w - 37 for g.
14
Solve f - 4*v = -52, 24 = 257*f - 258*f - 3*v for f.
-36
Solve -424*c - 16 = 5*q - 211*c - 216*c, -q + 4*c = 44 for q.
4
Solve -4*f - 463*l + 466*l - 4 = -1, -5*l = -61*f - 5 for f.
0
Solve -3*j + 29 = 42365*z - 42340*z - 1, 3*j - 2*z + 51 = 0 for j.
-15
Solve -5*h + 5*x - 55 = 0, 0 = 2423089*x - 2423094*x for h.
-11
Solve 0 = -13*g + 20 + 6, 33*q + 5 = 32*q - 3*g + 14 for q.
3
Solve -2*f = -22*d + 36, 841*d - 839*d + 26 = -4*f for f.
-7
Solve 4*p = 3*d + 55, -353*p - 3*d = 354*p + 352*p - 1059*p - 9 for p.
16
Solve 5*w + 38 = -7, -5*x + 36*w - 10*w = 30*w + 26 for x.
2
Solve -2*u = -12, 3*r = -4*u + 2669725 - 2669716 for r.
-5
Solve -20*i + 25*i + j - 48 = 0, 20*j = 4*i + 24 for i.
9
Solve -36085 = 3*m - 3*z - 36022, -7*m + 3*z = 143 for m.
-20
Solve 10 = -2*r + 3*w, -1196*r - 3*w + 5*w + 36 = -1192*r + 3*w for r.
7
Solve 68 = 3*a - 2*d, 5*a + 5*d + 13853 = -6*d + 13995 for a.
24
Solve f + 4*o = -24, -148*o = -152*f + 157*f + 888 for f.
0
Solve 5*h - 696 = -4*k, 948 = k - 2*k + 11*h + 20 - 564 for k.
4
Solve 0 = 3*d - 15, 4*v - 3*d + 30 = 19 for v.
1
Solve 0 = 4*x + u + 21162 - 21097, 4*u = -x - 20 for x.
-16
Solve 10*g - 7 + 28 = 3*u, -2*u - 2*g + 7 = -u for u.
7
Solve 0 = -k + 10, 1409893*p = 1409896*p + 4*k - 37 for p.
-1
Solve -5*i = -0*t - t + 16, 0 = 4*t + 4*i - 1428 + 1460 for t.
-4
Solve 3*v + 8*k = 2*v + 6*k + 15, 33*v + 75*k = 74*k + 170 for v.
5
Solve 5*z + m = 2*z + 3 - 16, -83*z = 5*m + 269 for z.
-3
Solve -12 = g + c, -8*g + 9723 = c + 9714 for g.
3
Solve 0 = 5*p + 5*r - 20, r + 4*r = 53*p - 47*p + 2 - 4 for p.
2
Solve 5*c + 2 = -2*d + 22, -66*d - 56*c = -37*d - 34*d - 224 for d.
0
Solve 10*c + 7108 = -4*a + 6900, 102 = -a - 5*c for a.
-2
Solve 10552*r = 10547*r - 3*c + 78, -5*r - 78 = -3*c for r.
0
Solve -2*x = -11*o + 191 - 130, o = 2*x + 11 for x.
-3
Solve -167*t + 171*t + 3*q = 76, -6*t + 3*q + 114 = 0 for t.
19
Solve 6*a = -5*t + 79, -t + 12 = 1486*a - 1481*a for a.
-1
Solve -39*z + 4*d + 40 = -40*z + 10, -5*d - 5 = z + 28 for z.
-18
Solve 125 = 2*b + 143, -15*g = -13*g - 29*b - 8*b - 212 - 123 for g.
1
Solve 96 = 3*i - 3*m, 0 = -5*i + 25*m + 4848 - 4108 for i.
3
Solve -2*d - 5*b - 26 = -b, -5*d + 6226*b = 6221*b - 1 - 24 for d.
-1
Solve 5*f + 2*d + 2*d = 2*f + d, -103*f - 2*d = -108*f for f.
0
Solve 5*n - 60 = -10*l + 15*l, l = 2*n - 4*l - 36 for n.
8
Solve -763*i + 761*i - 11 = 3*w, -10*i + 2*w + 30 = 0 for i.
2
Solve -63*z - 62*z + 186*z - 58*z - u = -5, -z = 4*u + 19 for z.
-3
Solve 5*a + 6 = -3*s + 6*s, 4*a - a - 6*a - 75*s + 534 = 0 for a.
3
Solve 1818*u = 1819*u + 3*s - 1, 9 = u - s for u.
7
Solve -3*h + 8 = -3*s + 7*s, 7*h - 681*s + 678*s = 2*h - 35 for h.
-4
Solve 0 = a - 26*k + 28*k - 20, -2*a - a = -2*a - 5*k + 1 for a.
14
Solve o + 25 = 2*v, -4*o - 432195*v = -432170*v + 199 for o.
-31
Solve 10*w - 3*b + 36 - 33 = 6*w, -4*b - 9 = -w for w.
-3
Solve -2*y + 1678*t + 168 = 1635*t, 2*y + 16 = -3*t for y.
-2
Solve -2*m = 2*m - 28, 42 - 2 = -5*f - 33*m + 38*m for f.
-1
Solve -4*p = 1799*z - 1809*z + 66, -p + 4*z = 27 for p.
1
Solve -4*m = y + 60287 - 60267, 5*y - 15 = 3*m for y.
0
Solve -66*n + 82*n + 2*o = 168, -3*n + 6*o - 2*o = -14 for n.
10
Solve 3*f - 14628 = 2*y - 14637, -y + 3 = 0 for f.
-1
Solve -3*i + 41 = -13*n, 0 = -5*i + 4*n - 1267 + 1247 for i.
-8
Solve -10*i = -1304*d + 651*d + 656*d - 86, 6*d - 2*i + 4 = -0*i for d.
2
Solve 88247 - 88131 = 5*p + 3*m, 0 = p + 2*m - 26 for p.
22
Solve -3*m + 25690*h - 112 = 25677*h, 0 = -m + h - 44 for m.
-46
Solve -2*t + 30 = -3*t + 5*o, -40 = 988*t - 979*t + o for t.
-5
Solve 143 = 42*f - 211*z + 216*z, -5*f - 18*z + 19*z = -25 for f.
4
Sol | {
"pile_set_name": "DM Mathematics"
} |
/((-3102)/5170)?
11/3
Evaluate (-10)/(-15)*4/32*(-51)/272*-2.
1/32
Calculate ((((-60)/50)/((-26)/65))/6)/(14/(-8)).
-2/7
What is the value of 47175/25160*1*4/15?
1/2
Evaluate ((-3)/(-24)*-1*272/306)/(94/6).
-1/141
(((-7)/378)/((-29)/435))/(2/18)
5/2
(416290/77311)/(3*2/39)
35
Calculate ((-123294)/(-82196))/(2/438*18/4).
73
((-999)/(-222))/(648/7056)
49
What is the value of 272/(-2)*(-11)/((-924)/(483/23))?
-34
Calculate ((196/21)/(140/300*5))/((-746)/1).
-2/373
Calculate (141358/258132)/((-1)/7).
-23/6
Evaluate ((-10)/30*(-9)/42*2)/(4296/(-12530)).
-5/12
(-4)/(((-34)/(-255))/(406*(-16)/(-1344)))
-145
(((-150)/5)/((-3183)/2122))/(5/(-32)*-1)
128
Evaluate (-24)/(-17)*332656/14676.
32
Calculate 24*23/828*(-13)/(130/240).
-16
What is (21/98)/(19*4/76)?
3/14
What is the value of (-31848)/29194*(-22)/(-76)?
-6/19
Evaluate ((-120)/240)/(2/1300*-5).
65
13/(429/220)*31/4340
1/21
Evaluate 693/(-35)*445/4895.
-9/5
-1*7/(-10)*3462/(-4039)*95
-57
What is (47/(-282)*24)/(77/(-28))?
16/11
What is 162393/339549*(-14)/11?
-14/23
What is the value of ((-21)/(-78))/((((-3441)/248)/(-37))/((-21)/(-98)))?
2/13
What is the value of (-55)/1936*(-13552)/(-24640)?
-1/64
What is (11907/2254)/(-81)*3/9?
-1/46
Calculate (-14)/((-196)/(-3150))*92/(-276).
75
What is the value of ((-51)/(-34))/((-426)/16188)?
-57
Calculate (((-208)/(-455))/(-8))/(((-56)/840)/((-5)/3)).
-10/7
Calculate 15/9*16684/(-215)*((-100)/80)/5.
97/3
Calculate 583/(-11)*3*(-8)/3*98/784.
53
What is (54/(-51408)*119)/((-19)/(-8))?
-1/19
What is the value of 82*1*1/(-3)*29/(232/(-12))?
41
What is the value of (8/10)/(414/(-2070))?
-4
Calculate (140/13965)/(176/(-396)*3/(-2)).
2/133
What is 2/(-6)*(-623)/(-1780)*-16*(-780)/14?
-104
Calculate (46/148)/((-100648)/(-17504)).
2/37
What is the value of ((-2)/40)/((-2937)/(-2173380))?
-37
Evaluate ((-60)/14*2/(-2))/((-422)/(-1477)).
15
Calculate 2/(((-2)/72)/(81/(-648)))*-4.
-36
What is 26840/(-488)*2/(-3410)?
1/31
Calculate ((-112)/(-84)*6/20)/(10/(-1000)).
-40
Evaluate (69/(-4))/(((-2700)/50)/(-54)).
-69/4
(30/(-27280)*-22)/(-3)*((-8)/(-3))/1
-2/93
What is (-4)/((1552/32)/97)?
-8
Evaluate ((-164214)/3041)/((-3)/(-2)).
-36
Calculate (-510)/1700*(-27)/(891/(-7370)).
-67
(83/((-27390)/(-198)))/(((-2)/(-12))/(120/(-18)))
-24
Calculate (-19698)/(-804)*((-30)/(-21))/1.
35
Calculate 5/2*595210/19325.
77
(1917804/(-32232))/((-34)/(-28))
-49
What is the value of (16*12/120*30)/((-138)/(-46))?
16
What is (-120)/504*(24/(-750))/((-4)/(-30))?
2/35
Calculate (1/(-4))/((135/(-3600)*-12)/((-1)/(-5))).
-1/9
(55/(40755/52))/((-420)/105)
-1/57
90/(-5)*17010/(-2916)
105
Evaluate 44*43/(-688)*1*4.
-11
What is the value of ((-4386)/559)/((-212)/(-1378))?
-51
What is the value of 72/42*95/(-380)*-77?
33
Calculate (-5)/(5/((35644/(-28))/(-19))).
-67
What is (-5800)/8700*42/(-44)?
7/11
Calculate ((-84)/4)/(((-315)/2)/7)*-5.
-14/3
((-90)/8)/(-3)*26896/16810*7/777
2/37
((-3)/(-12))/(47/(-20)*(-2990)/1794)
3/47
Calculate (289/(374544/(-324)))/((-2)/((-24)/(-17))).
3/17
What is 3*6/(((-9648)/(-448))/(-67))?
-56
What is (18/70)/(15/(-4)*226/(-565))?
6/35
((72/(-96))/((-9)/(-2)))/(5/(480/6))
-8/3
What is (-5095)/4076*56/(-105)*3?
2
What is (((-3515)/1924)/95)/((-28)/(-84))?
-3/52
Evaluate (((-342)/5)/3*-4*925/444)/(-2).
-95
What is the value of (-1)/(4/(-3))*(-516)/10578*48/36?
-2/41
Calculate (-44)/12*5*(18/85)/(297/1683).
-22
What is ((-8)/341)/2*(-254)/((-266700)/(-1925))?
2/93
Calculate ((-3)/(-4))/(120/3392)*65/52.
53/2
What is the value of (((-4950)/44)/225)/((-1)/(-36))?
-18
698/698*-1*(-141)/(-3)
-47
Evaluate (45/(-840)*8)/(4*14/(-4704)).
36
Calculate (18/(-2)*(-335)/1005)/(16/6).
9/8
What is -3*(-240)/3*(295/15)/59?
80
Evaluate ((-5)/(-930))/(32/(2496/39)).
1/93
Evaluate (8/(-360))/((-625)/(-3750)).
-2/15
Calculate (45/9)/((-10)/(-122)*(-100)/(-100)).
61
What is 60/(-18900)*-27*-42*2/((-2)/25)?
90
What is the value of (31922/26118)/(22/6)?
1/3
What is the value of 29392/(-102872)*(-98)/(-72)?
-7/18
Calculate (0*19*1/114)/(-15).
0
What is (-21514)/51703*2/(-62)?
2/149
Evaluate 20/20*21/((-105)/(-190)).
38
Evaluate (18/(-8))/(((-910)/26)/(-140)).
-9
Calculate ((-464)/522)/((-23)/((-966)/56))*-159.
106
Calculate (-10)/(-6)*-2*2/(30*(-6)/126).
14/3
(((-6)/10)/(2013/610))/((-85)/11)
2/85
What is ((-18)/(-21))/(6/21)*1540/(-210)?
-22
Calculate (-36)/(-1*19*(-23)/(-437)).
36
Evaluate ((-63)/(-14))/(39/(-910)*7).
-15
What is the value of 3/(((-494)/(-152))/((-26)/(-20)))?
6/5
What is the value of 60/(-9)*(((-189)/49)/(-1))/((-192)/(-224))?
-30
What is the value of 8/296*10*14*(-7)/(-490)?
2/37
Evaluate (4/14)/((-62712)/12194).
-1/18
Evaluate ((-2)/(-22))/(-187*243/(-111078)).
2/9
Calculate ((-11)/(374/(-153)))/(35/15*9).
3/14
Evaluate (-4592)/(-4592)*3/((-12)/10)*(-4)/(-65).
-2/13
Evaluate ((-64)/(-492))/(152/12198*107).
4/41
(156/104)/((-10)/((-1800)/(-9)))
-30
What is (-378)/945*70/(-6)*(-1650)/77?
-100
((-3)/9)/(((-518)/370)/(42/(-10)))
-1
Evaluate 3/(-168)*119/(-51)*33*(-4)/(-8).
11/16
Evaluate -22*(((-10656)/384)/(-37))/(66/(-464)).
116
What is the value of 9/(-10)*(2*1)/(2214/(-1845))?
3/2
Calculate 3*20*4/(-24)*132/88.
-15
Evaluate -10*(-102)/(-49725)*(-45)/18.
2/39
Calculate ((216524/1110)/(-209))/(-77).
2/165
What is 30996/11070*125/10?
35
((-4)/126)/(11816/(-5064))
2/147
((-357)/(-280))/17*(3050/(-75))/61
-1/20
(-11235)/(-4494)*(16/970)/(-2)
-2/97
(76/92)/((-300)/(-13800))
38
What is the value of (210/5250*90)/(1/(-20))?
-72
What is 2/((9/(-138))/((-140)/(-728)*(-78)/(-20)))?
-23
Calculate (-16)/28*13*24/468*(-308)/16.
22/3
Calculate (364/35)/((1518/(-115))/33).
-26
(13*2)/((-121)/(-2420)*-20)
-26
Evaluate 11728/(-228696)*(-507)/4.
13/2
What is (9/(-30))/(2/4*1413/(-942))?
2/5
Evaluate ((-3267)/45)/(13695/(-12450)).
66
What is the value of ((-7)/7)/((24/(-12))/(-38))?
-19
Evaluate ((-13314)/(-4536))/317*3/2.
1/72
Calculate (-28511)/20365*5/(-28).
1/4
What is (-1272)/(-64)*(-1940)/(-51410)?
3/4
What is the value of (90882/(-7128))/(17/22)?
-33/2
Calculate 36/(-9)*12*(-34)/2856.
4/7
(-72)/39*3913/602
-12
((8/2)/(-4))/(((-29568)/126)/(-32))
-3/22
Evaluate ((5/20)/((-36)/(-1872)*-143))/(4/2).
-1/22
Evaluate ((-5)/(15/(-2)))/(29/(609/(-2))).
-7
((-5)/(-7))/(309200/(-1136310))
-21/8
Evaluate 65/(15925/(-840))*7.
-24
Calculate ((-16)/(-32))/(989/(-73186)).
-37
What is the value of (((-65)/26)/5*8)/42?
-2/21
What is the value of ((-39)/((-2574)/(-22)))/(22/3168)?
-48
What is (64/256)/((-34)/(-5712))?
42
What is the value of (75/360)/(((-4410)/(-56))/21)?
1/18
What is (-362340)/2196*(-1)/3?
55
What is the value of ((-48)/(-3))/((2346/68)/(-69))?
-32
Evaluate (7381/(-6710)*16/(-44))/((-2)/480).
-96
180/90*18/(-45)*6/4
-6/5
What is -4*(-135)/30*(-19)/((-1368)/300)?
75
What is the value of 4*(-56)/((-1680)/130)*(-3)/(-4)?
13
Evaluate (59*(-44)/(-3894))/(1/102).
68
What is the value of (-2*(-390)/(-1040))/(6/148)?
-37/2
(69000/163875)/(1/304)
128
What is (-1*(-9)/(1197/28))/((-28)/(-266))?
2
Evaluate ((-165)/3)/(-11)*5/((-225)/(-378)).
42
Evaluate ((-121)/2)/((66/4)/33)*50/(-50).
121
Evaluate 1*(-3)/(-30)*(-156)/(-507)*13.
2/5
(88/(-660))/(2*(529/10)/23)
-2/69
13/13*(-13)/(-3)*63/(42/14)
91
What is the value of -8*18/216*(-4)/((-40)/(-1335))?
89
What is the value of 6/12*-28*(-8)/(-28)*(-1848)/(-224)?
-33
(696/1740)/(6/(-435))
-29
What is the value of (-280)/1512*(-21)/7?
5/9
Evaluate ((11/(2475/(-27)))/(9/5))/((-45)/(-27)).
-1/25
(-15)/(-3)*(-17)/5525*-5
1/13
Calculate (262/393)/(5/(870/(-4))).
-29
Calculate (-162)/8*16768/(-9432).
36
What is -1*-4*((-45)/(-18))/(5/(-4))?
-8
What is 20/(-142)*973/(-14595)?
2/213
Evaluate ((-53436)/13176)/((-2)/(-36)).
-73
Evaluate (4869/(-48690))/((-4)/(-1520)).
-38
Calculate (118/28)/(((-113)/452)/((-1)/(-1))).
-118/7
What is the value of 29950/(-32945)*36/10?
-36/11
Evaluate ((-63)/(-2))/(50/300*-9).
-21
(14/1)/(62/558*(-12)/(-4))
42
What is the value of (3888/(-2430))/((-14)/2625*-5)?
-60
828/966*(-70)/(-375)
4/25
Calculate (4*(-9)/54)/((-20)/(-36)).
-6/5
Evaluate ((-78)/(-91))/(((-3)/28)/(198/(-72)*-2)).
-44
(38/(-646)*-187)/1
11
Evaluate (-2)/(-3)*170/((-284750)/(-603)).
6/25
Calculate (2931/68390)/((-6)/80).
-4/7
What is the value of 5*(-15*6/(-120))/(15/(-312)*-6)?
13
Calculate ((-2622)/2185)/(1*(-2)/2*-1).
-6/5
Calculate ((-68200)/(-900))/31*(- | {
"pile_set_name": "DM Mathematics"
} |
h + 80. Suppose -h = -4*c + 2*i, -2*i + i = 3*c - 7. Suppose z + 2*z = c*f + 24, -3*z + f = -20. What is the units digit of z?
6
Let r(o) = -9*o - 1. What is the units digit of r(-7)?
2
Suppose 122 = -3*n - 28. Let p = 72 + n. Suppose 2*t - p = -2. What is the units digit of t?
0
Let q = 0 - -2. Let m = q + 8. What is the tens digit of m?
1
Let p = 59 + -41. Let g(n) = 14*n + 1. Let w be g(-1). Let a = w + p. What is the units digit of a?
5
What is the hundreds digit of 1 + 4 - (-231 - 18)?
2
Suppose 0 = -5*m - 3*i + 415, m + 0 - 83 = 3*i. What is the tens digit of m?
8
Let z(b) = 5*b + 15. What is the units digit of z(12)?
5
Let t = 1 + 1. Suppose j - 3 + 8 = 0, t*j - 5 = -n. What is the tens digit of n?
1
Suppose 20 = -3*v + 164. What is the units digit of v?
8
Let x = 14 - 12. Suppose -2*p - 22 = -x*c + 2*p, 5*c - 5*p = 45. What is the units digit of c?
7
Suppose -51 = -3*d - 6. Suppose -5*r + 22 = -2*r + 5*z, 3*r - 2*z = 8. Suppose r*x - d = -3. What is the units digit of x?
3
Let n(g) = -g**3 - 4*g**2 + g + 2. Let r be n(-4). Let s be 1/r*(-7 + -5). Let u = s + -2. What is the units digit of u?
4
Let x(l) = 26*l + 7. What is the tens digit of x(3)?
8
Suppose n - 3 = 4. What is the units digit of n?
7
Suppose -l = 2*l - 9. Suppose l*d = -2 - 1. Let m(n) = -7*n - 1. What is the units digit of m(d)?
6
Suppose 5*g + 5*l + 5 = 0, -2*g - 2*g + 32 = -5*l. Let j(w) = -w**3 + 3*w**2 + 2*w - 4. Let u be j(g). Suppose -u*s = 3 - 5. What is the units digit of s?
1
Suppose 4*y = -2*p + 40, -y + 14 + 41 = 2*p. What is the units digit of p?
0
Let t = 58 + -31. What is the tens digit of t?
2
Suppose 6 - 4 = q. Suppose 6 = -3*z - s - q, 5*z - 4*s - 15 = 0. What is the units digit of (-3)/2*(-1 + z)?
3
Suppose -3*n + 5*n - 122 = -2*c, -4 = -n. What is the units digit of c?
7
Suppose 5*n - 161 = -4*f, 5*f - 3*n - 114 = 2*f. What is the units digit of f?
9
Let o = 15 + 3. What is the tens digit of o?
1
Let z = 11 + -20. Let f be (-3)/(2*z/24). Let n(s) = s**2 - 4*s + 6. What is the units digit of n(f)?
6
Suppose -23 - 59 = -2*m. What is the tens digit of m?
4
Let c = -249 + 434. What is the tens digit of c?
8
Suppose 3*s - 3*x + 3 = 0, 2 = 2*s - 3*x - 1. Let o(c) = c**2 + 5*c - 3. What is the units digit of o(s)?
3
Suppose 0 = -5*j - w + 428, -j - 2*w + 4*w + 90 = 0. What is the units digit of j?
6
Suppose -4*y = -y + 18. Let q(z) = z**2 + 5*z - 4. What is the units digit of q(y)?
2
Suppose 0 = -5*i + 135 + 115. What is the units digit of i?
0
Let j = 28 + -27. What is the units digit of j?
1
Let m be 198/(-27) + (-2)/3. Let t = m - -10. What is the units digit of t?
2
Let f(s) = s + 1. Let l(n) = -n - 3 - 7*n + 5*n. Let i(k) = -f(k) - l(k). What is the units digit of i(2)?
6
Let w be (34*-2 - 4)*-1. Suppose 7*k = 5*k + w. What is the units digit of k?
6
Suppose -3*g + 2*g = p - 6, p = 4*g - 9. Suppose p*v = 3*t + 4*v - 25, 2*t = 2*v + 14. What is the units digit of 58/7 - t/28?
8
Let v(c) = 2 - 4*c - 2*c - 1. What is the units digit of v(-1)?
7
What is the units digit of (-1)/(-4 - (-125)/31)*-2?
2
Let x(j) be the first derivative of -j**3/3 + 9*j**2/2 - 5*j + 1. Let y = -26 + 32. What is the units digit of x(y)?
3
Suppose 234 = 3*d - 4*v + v, -2*v - 308 = -4*d. What is the units digit of d?
6
Let g(d) = -d**2 - 6*d - 5. Let c be g(-4). Let h = c + -1. What is the units digit of h?
2
Suppose -4*u + 193 = -0*u + p, -u + p = -42. What is the units digit of u?
7
Suppose 5*d - 100 = -10. Suppose 2*l = w - 3*w + d, -3*l = -3*w - 3. What is the units digit of l?
5
Let c(z) = z**3 + 9*z**2 - 14*z - 3. What is the tens digit of c(-10)?
3
Let x(p) = 20*p - 13. What is the tens digit of x(11)?
0
Let v = 52 + 162. What is the hundreds digit of v?
2
Let o = 63 + -50. What is the tens digit of o?
1
Let n be 1 + 2 + (-2)/1. Let y be -24 - (-2 + 5 - n). Let j = -17 - y. What is the units digit of j?
9
Suppose 6 = -2*o + 4*o. Let a be ((-2)/o)/(2/30). What is the units digit of (-55)/a + (-2)/4?
5
Let v be 14/3 - (-1)/3. Let g = -3 + v. Suppose 0 = -g*r + 6 + 6. What is the units digit of r?
6
Let b be 116/14 + (-6)/21. Suppose -3*c + 5*a + 19 = -b, a + 53 = 4*c. What is the tens digit of c?
1
What is the tens digit of 33/(-2)*((-3 - -4) + -5)?
6
Let u = -73 - -118. What is the units digit of u?
5
Suppose -4*g - 4 = -16. Suppose -b - 4*p + 25 = 0, 0 = -4*b + 8*b + g*p - 152. Suppose 3*l + 11 = b. What is the tens digit of l?
1
Suppose -3*t = -49 + 130. Let f(d) = -d**3 - 7*d**2 - d + 6. Let a be f(-5). Let w = t - a. What is the units digit of w?
2
Suppose 802 - 139 = 13*l. What is the units digit of l?
1
Let j(u) = u + 1. Let i be j(1). What is the units digit of i - -1 - 2 - -3?
4
What is the tens digit of (-336)/(-18) + (-6)/9?
1
Suppose 83 = 2*q + 23. What is the tens digit of q?
3
Suppose -o - 156 = 10*v - 12*v, -4*v + o + 308 = 0. What is the units digit of v?
6
Suppose 3*q = 9 - 0. Suppose -2*a - 3 - q = 0. What is the units digit of 1/a + (-28)/(-3)?
9
Suppose -7 = -6*k + 7*k. What is the units digit of (6/4)/(k/(-140))?
0
Suppose 6 = c - 0*c. Suppose -h + g - 6 = 4*h, c = h - 2*g. Let d = 9 + h. What is the units digit of d?
7
Let b be (-1)/2*(-2 + 2). Let g = 26 - b. What is the units digit of g?
6
Let k be 33/(-55) + 53/5. Let t(x) = x**3 - 10*x**2 + 13. What is the tens digit of t(k)?
1
Let i be ((-7)/(-2) + -1)*-4. Let y(o) = o**2 + 10*o + 9. What is the units digit of y(i)?
9
Let c = -1 + 3. Suppose 0*b - 2*b + c*t = 0, -3*b - 8 = -5*t. What is the units digit of b?
4
Let u be (10 + 0)*(-3)/(-6). Suppose -5*h + 2*v + u = 76, 5*v = 4*h + 50. What is the units digit of 67/3 - (-5)/h?
2
Suppose b - 3*b + 150 = 0. What is the tens digit of b?
7
Let u be -1 + 9 + (-2 - -3). What is the units digit of 3*(0 - (-21)/u)?
7
Let q be (-2)/(-8) + 7/4. Suppose -h = 2*h - 5*g - 41, 22 = q*h + 2*g. What is the tens digit of h?
1
Let x be (2 - 32/10)*5. Let w be (x/12)/(1/(-6)). Suppose -5*q = -2*f - 3*f - 55, f = -w. What is the units digit of q?
8
Suppose -10*n = -9*n - 47. What is the tens digit of n?
4
Suppose 125 = 4*g - 115. What is the tens digit of g?
6
Let u = -15 + 16. What is the units digit of -2 + 39 - (-1)/u?
8
Let h(r) = -3*r**3 - 2*r**2 - 2. Suppose 2 = -2*i + 2*k - 6, 0 = 4*i + 3*k - 5. Let y be (-1)/i*-2 + 0. What is the units digit of h(y)?
4
Let x be (51 - 1)*(-2)/(-4). What is the units digit of 90/x*10/4?
9
Let c(r) = -r**3 - 5*r**2 - 5*r + 3. Suppose 5*q - 30 = 5*b, 5*b + q + 22 = 2*q. What is the units digit of c(b)?
7
Let g = 186 - -176. What is the units digit of g?
2
Let t = 13 + -8. Suppose t*y + 4 = y. What is the units digit of (y - 0/(-2)) + 5?
4
Let j(u) = 91*u**3 + u**2 - 2*u + 2. What is the units digit of j(1)?
2
Suppose -2*x + 9 = 5. Suppose 0 = -4*s + x*s + 42. What is the units digit of s?
1
Let r = 24 + -15. What is the units digit of (-10)/3*r/(-6)?
5
Let u(r) = -r**2 - 15*r + 1. What is the units digit of u(-13)?
7
What is the units digit of (-8)/2*(-4 + -4)?
2
Let v(g) = -18*g**3 + 3*g**2 + 7*g + 2. What is the tens digit of v(-2)?
4
Let u(j) = -3*j + 4. What is the units digit of u(-13)?
3
Let v(q) = 3*q - 4. Let w be v(-4). Let t = w + 18. What is the units digit of t?
2
Suppose 2*u - 70 = -g, 0 = 4*g + u - 6*u - 241. Suppose g = 3*t + t. What is the units digit of t?
6
What is the hundreds digit of -1 - (-1 - 279)*1?
2
Let x = -115 + 219. Suppose 3*q + k - x = 0, -2*q = -2*k - 0*k - 64. What is the tens digit of q?
3
Let d(q) = -q**2 + 2*q - 1. Let r be 54/66 - (-4)/22. Let u be d(r). Let s(f) = f**2 + f + 4. What is the units digit of s(u)?
4
Let q be (-4)/3*6/(-4). Suppose 5 - q = g. What is the units digit of (4 - g) + 2*3?
7
Let s = -4 + 6. Let j(i) = 6 - i**3 + i - s - i**2 + 4*i**2. What is the units digit of j(3)?
7
Let h(f) = -f**2 + 13*f - 18. What is the tens digit of h(8)?
2
Suppose -15 = -2*x - 3*x. Suppose -x*y + 2*k + 28 = -0*k, -34 = -3*y + 5*k. What is the units digit of y?
8
Let w(a) = a**3 + 2*a + 192. What is the tens digit of w(0)?
9
Suppose 0*j + 4*v = -5*j + 33, 14 = 4*j - 3*v. Suppose z - 15 = 3*p, z + 0*p = j*p + 13. What is the units digit of z?
8
Suppose 2*l - 6 = -2. Let m = 0 - l. What is the units digit of ((-1)/m)/(4/64)?
8
Let k(r) = 3*r**2 - r. Let x be k(1). What is the tens digit of 10 + -1 + | {
"pile_set_name": "DM Mathematics"
} |
p be 3/w*10/3. Suppose p*x = 89 + 221. Is 31 a factor of x?
True
Suppose 5*b = -2*z + 43934, 2*b - 13393 = 3*z - 79313. Is 21 a factor of z?
False
Let h = 126 - 116. Suppose h*b - 4230 + 1260 = 0. Is 11 a factor of b?
True
Suppose 40*u + 27*u - 6633 = 0. Suppose -n - 3*f = -3*n + 17, 0 = -2*n - 4*f - 4. Suppose -377 = -5*s + n*p, 0 = s - 2*p - u + 26. Is s a multiple of 11?
True
Suppose -30*x + 14*x + 32 = 0. Suppose 4*p = -5*y + 557, -2*y + 117 = x*p - 163. Is 15 a factor of p?
False
Suppose 915 = 3*i - 3*p - 567, -p = -6. Is 10 a factor of i?
True
Let t be 1233/18 - (-7)/(-2). Suppose 29*a + 7344 = t*a. Is a a multiple of 51?
True
Let y(f) = 3*f**2 - 28*f - 24. Is y(-12) a multiple of 24?
True
Let w be 0*((-4)/8)/1 + 59. Let q = -15 + w. Is 22 a factor of q?
True
Let s(i) = 2*i + 54. Let x be s(-27). Suppose x*b - 10*b = -1350. Is 3 a factor of b?
True
Suppose -j - 62177 = -3*x, -2*x + 15*j + 41434 = 10*j. Is 63 a factor of x?
True
Let s = -235 + 145. Let h = 179 + s. Is h a multiple of 20?
False
Let s be (-1)/(155/(-25) + 6). Suppose 0 = -s*y - 4*q + 11960, 0 = y + 4*q - 2382 + 6. Is 29 a factor of y?
False
Suppose -14354 = -2*i - 4*u + 11756, 7 = u. Is 27 a factor of i?
True
Let k(c) = 206*c**3 - 66*c + 155. Is 16 a factor of k(5)?
False
Let c = -109 - -93. Let y be ((-79)/4 - -3)/(2/c). Let h = -101 + y. Is 2 a factor of h?
False
Suppose 0 = -2*r - 4, -16 = -4*q + 4*r. Suppose 4*b + 5 = 4*o + b, -q*b = -2. Is 32 a factor of o + ((-20)/(-15))/(4/186)?
True
Suppose 5*m + 37 = -2*l, 38 = -5*m - 7*l + 4*l. Let y(s) = -s**2 - s - 3. Let x be y(-3). Does 35 divide (x - -14)*m/(-1)?
True
Let b(g) be the third derivative of -g**5/30 - g**4/4 + 2*g**3/3 - 14*g**2. Let l be b(-3). Does 18 divide ((-2)/3)/(l/(-150))?
False
Suppose h = -3*b - 232, 5*b - h = h - 394. Let i = b + 116. Let q = i + -14. Is 8 a factor of q?
True
Let j be (-6)/9*(-18)/4. Suppose -5*k = -j*d + 1196, -d + 5*k = d - 789. Does 25 divide d?
False
Let b be -3 - -24*6/9. Suppose o = -b*o + 14112. Is 21 a factor of o?
True
Let d(f) = 238*f**2 - 87*f - 254. Is d(-3) a multiple of 44?
False
Let u(l) = l + 72. Suppose -28 + 112 = 4*z - 2*h, -5*z + 4*h + 102 = 0. Does 14 divide u(z)?
False
Let o = 3063 + 16333. Is o a multiple of 13?
True
Let b(d) = 2*d**3 + 6*d**2 - 12*d - 4. Suppose 3*n + 1 + 4 = 2*j, n + 30 = -5*j. Let w be b(n). Is 7 a factor of (-1082)/(-22) + w/242?
True
Suppose 4*y = 5*l - 6*l + 11262, 4*y = l + 11274. Is 198 a factor of y?
False
Suppose 5 + 7 = 4*q. Suppose -14*w = -45*w + 23*w + 624. Suppose 4*s + p + 4*p = 102, -q*p = 3*s - w. Is s a multiple of 28?
True
Suppose 3*u + 97 = -5*o + 145, -o + 4*u = -28. Suppose 3*f = o, -1721 = -3*l - 11*f + 6*f. Does 27 divide l?
True
Let z(d) be the third derivative of 0*d - 19*d**2 - 13/6*d**3 + 107/24*d**4 + 0. Is 36 a factor of z(3)?
False
Let y = -85 + 100. Let o(g) = 9*g + 57. Is 26 a factor of o(y)?
False
Suppose -4*p + 3*g = -5*p + 334, -5*g = 0. Is p even?
True
Let y(d) = d**3 - 44*d**2 + d - 180. Is y(45) a multiple of 15?
True
Let u(p) = -p**3 - 6*p**2 - 7*p - 8. Let z be u(-5). Let j(h) = -3*h + 39. Let f be j(0). Suppose z*o = f + 13. Is 19 a factor of o?
False
Let f = 285 + -242. Let x = 23 + f. Is x a multiple of 22?
True
Suppose 0 = -5*p + 20, -2*c + 4*c + 4*p = 3954. Suppose -4*w = 4*r - 2096, 5*r + 3*w = c + 661. Is r a multiple of 85?
False
Let s = 1392 - 1238. Does 7 divide s?
True
Does 48 divide -9 + (-60102)/(-24) + (-48)/(-64)?
True
Suppose 5*f - 7*f + 42 = 0. Suppose -f = l - 102. Let g = l - -109. Is g a multiple of 38?
True
Let r = 10981 - 4339. Is 16 a factor of r?
False
Let l = -178 + 178. Suppose l*o + 14*o - 3108 = 0. Is o a multiple of 22?
False
Let j be (-114)/(-54) - (-1)/(-9). Suppose 4*f + j*f = -24. Is (-1)/(970/(-242) - f) a multiple of 29?
False
Let t(g) = 145*g + 1. Let p be t(2). Suppose -14*m - p + 12387 = 0. Is m a multiple of 16?
True
Suppose 193643 = -22*j + 571801. Does 59 divide j?
False
Let k(a) = -a**3 + 10*a**2 - 10*a + 4. Let t be k(7). Let v = 37 - t. Let i = -4 - v. Does 40 divide i?
True
Suppose 9587 + 67078 = 15*x. Is 29 a factor of x?
False
Suppose -11 = -3*a + o, 8 = 3*a + a + 2*o. Suppose -a*j + 5*j - j = 0. Does 13 divide j - 27/9*142/(-3)?
False
Suppose -5*g = -3*h + 360, -h - h + 65 = -g. Let c be (-6 + (-105)/(-25))*-25. Let t = c - g. Is 30 a factor of t?
True
Let k(l) = l**3 - 9*l**2 - 38*l + 346. Is k(11) a multiple of 2?
True
Suppose 2 = g, -3*a + 140 - 48 = -5*g. Suppose -2*q + a = -2*p, 10 - 1 = 3*p. Suppose 15*y + 1080 = q*y. Is 38 a factor of y?
False
Let a(v) = v**3 - 9*v**2 + 5*v + 26. Let y be a(8). Suppose o = -5*x + 11, o = 4*x - 6*x + y. Suppose -3*h + 462 = 3*b, 7*h - x*h - 2*b = 592. Does 25 divide h?
True
Let d be (-6530)/14 - -2 - 48/(-112). Is 16 a factor of (-22)/(-33) + d/(-6) + 2?
True
Suppose -3*h - 165 = -8*h + 5*z, 0 = h + 2*z - 18. Let b = h + -26. Suppose b*v = -5*v + 105. Is 2 a factor of v?
False
Let s be -7 - -12 - (0 + 3). Suppose -4*f + 3277 = -v, 0 = 5*f + s*v - 1252 - 2841. Does 7 divide f?
True
Let l(r) = -r**3 + 18*r**2 - 16*r - 16. Let w(x) = 2*x**3 - 37*x**2 + 33*x + 30. Let f(i) = -7*l(i) - 3*w(i). Is f(16) a multiple of 8?
False
Suppose 5*c = -4*u + 59945, -6*u = 5*c - 41194 - 18761. Does 51 divide c?
True
Suppose -5*x = p + 2533, -3*p + 1003 = -2*x - 0*p. Let v = -334 - x. Is v a multiple of 10?
False
Let g = 21925 - 11172. Is g a multiple of 93?
False
Is 20 a factor of -6 + (-5 - -2) + 187509/21?
True
Let h(y) = -17*y + 18. Let r be -1*6*((-25)/5 - -6). Does 20 divide h(r)?
True
Let r = 548 + 49. Suppose -25 = 5*i, 5*k - 688 - r = 4*i. Does 23 divide k?
True
Suppose -4*q = 42*i - 41*i - 1951, -2*i + 3927 = 3*q. Is 72 a factor of i?
False
Let a be -2*((-3)/(-2) + -4) - 5. Suppose 14*q - q - 598 = a. Does 41 divide q?
False
Suppose -2*k + 10*z - 5*z = 15, -6 = 5*k - 2*z. Suppose k*y - 5*y = -3480. Is y a multiple of 8?
True
Suppose -v = 2*n - 981, 0 = 2*n + 3*n - v - 2463. Suppose -85 - 818 = 3*s. Let k = s + n. Is 34 a factor of k?
False
Let v(k) = 32*k - 95. Let m = -384 - -392. Is v(m) a multiple of 18?
False
Suppose -5*c - 5*l = -0*l - 45, l + 7 = c. Let a be (-3 - -1)/(0 - -1). Is 1032/c - (a - -1) a multiple of 13?
True
Let p(n) = 5*n**3 - 9*n**2 - 4*n + 48. Let r = -528 - -534. Is p(r) a multiple of 30?
True
Suppose -5*b + 11 + 9 = 0, -3*b + 57 = -5*o. Is 12 a factor of 9/((-6813)/(-756) + o)?
True
Let k(n) be the third derivative of -n**6/120 + 11*n**5/30 + 7*n**4/24 - 16*n**3/3 + 12*n**2. Suppose -4 - 6 = 2*m, -4*m - 130 = -5*j. Is k(j) a multiple of 17?
False
Let r be ((-1)/(-3))/((29 - 17)/180). Suppose 958 = g + r*a, -29*g + a = -32*g + 2832. Is 23 a factor of g?
True
Suppose -644*i - 65670 = -647*i + 3*l, 3*l + 109438 = 5*i. Is i a multiple of 13?
False
Let p(x) = -2*x**3 - 70*x**2 - 4*x - 138. Let l be p(-35). Suppose -l*r + 7*r = 5*d + 5745, -6 = -2*d. Is r a multiple of 72?
True
Suppose -2*t + 2 = 2. Suppose t = -14*v + 1275 - 71. Is v even?
True
Suppose -156*p + 149*p = -5579. Let s = p - 489. Is s a multiple of 21?
False
Suppose 3*x = -6*x + 2259. Let t = 479 - x. Does 16 divide t?
False
Suppose 0 = -o + 1, -293 = 2*s + o - 970. Is s - (1 - 3/1) a multiple of 34?
True
Suppose -2*x - 10 = -5*z - 8, 0 = 3*x - 3*z + 12. Let j(a) = 17*a**2 + 3*a - 3. Let i be j(2). Let q = x + i. Is 11 a factor of q?
False
Let f = 923 - 885. Suppose 2*j + 60 + f = a, 0 = 4*a - 5*j - 380. Does 18 divide a?
True
Let s be (-7)/4 - 84/(-48). Suppose s = -37*x + 29*x + 5392. Does 14 divide x?
False
Let h be (-6)/(-312)*8 - 308/(-26). Let d(t) = -4*t + 91. Is 4 a factor of d(h)?
False
Let x(p) = 6*p + 45*p**2 + 8 + 52*p**2 + 62*p**2 + 73*p**2. Does 40 divide x(-1)?
False
Suppose -130*q = -40*q - 798120. Is 100 a factor of q?
False
Let v(g) = -3*g + 27. Let w be v(12). Let t be w/(-2) + (-3)/6. Is 1/t - (-1180)/16 a multiple of 15?
False
Suppose -3*q - 4*v + 1409 = 0, 0 = -6*q + 2*q + v + 1904. Is 16 a factor of q?
False
Suppose -3*l = -5*j - 14970, -47*j = l - 49*j - 4992. Does 249 divide l?
True
Let y be (-36)/18 + 3*11. Suppose -2*v = -1 + y. Is 20 a factor of -170*(v/(-6) + -3)?
False
Let i = -539 - -359. Let r = 285 + i. Does 30 divide r?
False
Let a(w) = w**2 + w + 16. Is 13 a factor of a(-21)?
False
Let l be (-2)/(-6)*(2 + 18 | {
"pile_set_name": "DM Mathematics"
} |
*m**3 + 2*m + 2*m**3 + 1 - 1.
48*m**3 + 2*m
Expand (-158*g**3 + 8*g - 4 + g + 160*g**3)*(-13*g - 7*g + 11*g).
-18*g**4 - 81*g**2 + 36*g
Expand (191 - 96 - 186)*(i + 2*i + 2*i)*(-13*i - i + 3*i) - i**2 + 3*i**2 - i**2.
5006*i**2
Expand (-3*z**3 - 48*z + 48*z)*(-63*z + 30*z - 2 + 34*z).
-3*z**4 + 6*z**3
Expand (27*o**2 - 1 + 1)*(-45 - 54*o + 45).
-1458*o**3
Expand (2*t**2 + 4*t**2 - 4*t**2)*(t**2 + 3*t**2 - 3*t**2) - 4*t**4 - 67 + 67 + (2 + 2 - 3)*(-20*t**4 + t**4 - 2*t**4).
-23*t**4
Expand (31 + 18 + 38)*(20*s**2 - 45*s**4 - 20*s**2).
-3915*s**4
Expand (21650 + 21458 - 39052)*(2*q + 2*q**2 - 2*q).
8112*q**2
Expand (0 + h + 0 + (1 + 4 - 3)*(10*h - 28*h - 55*h) - 16*h - 1 + 1)*(1 - 2*h + 2 - 4).
322*h**2 + 161*h
Expand (-4*i + 1 + 6*i + 0)*(-2551*i**2 + 942894 - 942894).
-5102*i**3 - 2551*i**2
Expand (0*k**3 + 4*k**3 - 2*k**3)*(3 - 3*k - 3)*((-1 + 1 - 1)*(-3 - 1 + 0) - 25 + 60 + 52).
-546*k**4
Expand (30 - 30 + 19*t)*(21*t + 13*t - 13*t).
399*t**2
Expand (-497 - 826 - 302)*(-2*n + 0*n + 2*n**2 - 4*n**2 + (n - 2 + 2)*(-4*n - 2*n + 4*n)) + 3*n**2 + 1 - 1 + (0*n + 2*n + 0*n)*(5 - 2*n - 5).
6499*n**2 + 3250*n
Expand (21*o**3 - 16*o**3 - 7*o**3)*(-3 + 3 - o + (-1 + 13 + 10)*(-o + 0*o + 0*o)).
46*o**4
Expand (4 + 44*g - 14 - 43*g)*(0*g**3 - 2*g**3 + 12*g**3).
10*g**4 - 100*g**3
Expand (-9 + 3*o + 9)*(4 - 5 + 0) - 51*o - 22*o - 10*o.
-86*o
Expand (3 + 1 - 3)*(-1 + 5 - 6)*(k - 10*k - k).
20*k
Expand (m - 3*m + 3*m)*(567*m**3 + 294 + 562*m**3 - 1126*m**3).
3*m**4 + 294*m
Expand (529500*u**2 + 528555*u**2 - 1040732*u**2)*(-u + 3*u - u - 3*u + 5*u - 3*u + (-u + 0*u + 0*u)*(4 - 1 - 2) - 2*u - 2*u + 3*u).
-34646*u**3
Expand (x**2 + 3 - 3)*(26 - 181*x + 23 + 28 - 73).
-181*x**3 + 4*x**2
Expand 5*t**4 - 4*t**4 - 2*t**4 + (-4*t**2 - 3*t**2 + 6*t**2)*(-1065*t**2 + 1121*t**2 + 1261*t**2).
-1318*t**4
Expand (-1834 + 454 - 765)*(u**3 - u**4 - u**3 + (2*u**2 + 2*u**2 - 2*u**2)*(3*u**2 - 4*u**2 + 3*u**2)).
-6435*u**4
Expand (6*x - x + 0*x)*(294 - 17*x**4 - 291 - 314*x**4 - x).
-1655*x**5 - 5*x**2 + 15*x
Expand (2 - 39*p + 6*p - 2)*(-58 + 39 - 21)*(-5 + 1 + 0).
-5280*p
Expand (-9 - 5 - 63)*(-24*z**3 + 24*z**3 - 22*z**4).
1694*z**4
Expand (3 + 3 - 1 + (0 - 4 + 6)*(-3 + 5 - 4))*((-1 + 1 - 1)*(14911 + 248*j - 14911) + (2 + 4*j - 2)*(-4 + 5 + 0)).
-244*j
Expand (-2 - 5 + 1)*(-4*l + 3*l + 3*l)*(-276*l - 41*l - 96*l).
4956*l**2
Expand 3*g**5 + g**5 - 8*g**5 + (-2*g**2 + 4*g**2 - g**2)*(-1 + 2*g**3 + 1) + (-3*g**5 + 3*g**5 - 2*g**5)*((2 + 3 - 4)*(1 - 2 - 1) + 124 - 279 + 101).
110*g**5
Expand (-x**3 + 5*x**3 - 2*x**3)*(-9762*x**2 - 2507 - 4888 + 9764*x**2).
4*x**5 - 14790*x**3
Expand (-a + a + 3*a + (-4*a + 3*a + 2*a)*(-1 + 3 + 2))*(-5 - 2 - 1)*(-a**2 - a**2 - a**2 - 2 - 4*a).
168*a**3 + 224*a**2 + 112*a
Expand (-12454 + 5941 + 5499)*(3 - 2*l - 3) + 2*l - l + 2*l.
2031*l
Expand 0 - 1 + 108*v**2 - 60*v**2 + (v - 4*v - 2*v)*(5*v - 2*v - 2*v).
43*v**2 - 1
Expand (-20 + 20 - 4*k)*((-2 + 2*k**2 + 2)*(1 - 1 + 1) + (-3*k + 2*k + 3*k)*(-30*k + 76*k - 10*k))*(0*k**2 - 2*k**2 + 0*k**2).
592*k**5
Expand (6 - 5 + 1)*(-2*h + 0*h + 3*h)*(22 - 211 + 384).
390*h
Expand (4*m - 3*m + m + (5*m + m - 4*m)*(-4 - 2 - 4) + 2*m - 9*m + 4*m)*(-3 + 1 + 4).
-42*m
Expand (-419*f - 338*f - 1515 + 1517)*(-2*f - 2*f + 3*f).
757*f**2 - 2*f
Expand (w - 5*w + w + (-4 + 1 + 4)*(0*w + 0*w + 2*w))*(-12270 + 12270 + 60*w**2).
-60*w**3
Expand (-573*x + 105*x - 24*x)*(x + 2*x - 5*x).
984*x**2
Expand 2*v**4 + 3*v**4 - 3*v**4 + (-3*v**3 + 3*v**3 + 2*v**3)*(0*v + v + 0*v) + (-6*v + 6*v + 3*v**3)*(-8*v + 894 + 799 + 1421 - 3839).
-20*v**4 - 2175*v**3
Expand -550*x**2 + 258*x**2 - 358*x**2 + (-1 - 1 + 0)*(-4 + 4 - x**2) - x**2 + 0*x + 0*x + x**2 + x**2 + x**2 + x - 2*x**2 - x.
-648*x**2
Expand -54*t - 50*t - 447*t - 86*t + (-2*t - t + 2*t)*(-1 + 2 - 2).
-636*t
Expand (-4 - x**2 + 4)*(-6*x - 4*x**2 + 6*x)*(-31*x + 246*x - 28*x).
748*x**5
Expand (4*x + 2*x**2 - 2*x - 4*x)*(2 - 9204*x - 7 + 11283*x).
4158*x**3 - 4168*x**2 + 10*x
Expand (3 - 2 + 1 + 1 - 4 + 2 + (0 + 2 - 4)*(-2 + 3 + 1) - 5 - 4 + 5)*(2*y + 0*y - 5*y) - 56 + 26 + 18*y + 29.
39*y - 1
Expand (-g - 3*g + 2*g)*(-1 + 1 + 3*g**2) + (2 - 1 + 1)*(g - 11 + 11)*(-699*g - 5*g**2 + 699*g).
-16*g**3
Expand (-607 - 2768 + 313)*(3*g + 2 - 2).
-9186*g
Expand (-13*x + 3 - 3)*(-4 + 1 - 2)*(1 - 2 + 3).
130*x
Expand (g**3 + 0*g**2 + 0*g**2)*(3*g**2 - 3*g**2 - g**2) - 2*g**5 - 3*g**5 + 7*g**5 - g**5 - 3*g**5 + 8*g**5 + (-g + 9*g + 20*g)*(4*g**4 - 2*g**4 - 3*g**4).
-23*g**5
Expand 148 + 10*r**3 - 5*r**3 - 169 + (7*r - 3*r - 3*r)*(-2*r - 3*r**2 + 2*r).
2*r**3 - 21
Expand (2*c**2 + 3*c**2 + 5*c**2)*(-4*c - 2*c + 4*c) + (3 - 2 + 1)*(-13*c**3 + c**3 - 51*c**3) + 6*c**3 - 3*c**3 + 0*c**3.
-143*c**3
Expand (3*c - 3*c + 7*c**2 + (0 + 0 + 2*c)*(2*c + 0*c - 3*c))*(-2*c**2 + 20*c**2 - 84*c**2).
-330*c**4
Expand ((-44*c - 71*c + 29*c)*(0 - 3 + 5) - c + 3*c - c)*(c**2 - 2*c + 2*c).
-171*c**3
Expand -3*a**2 + a**4 - 24 + 22 - 2*a**4 + 4*a**3 - 4*a**3 - 8*a**4 + (5*a**2 + a**2 - 2*a**2)*((-4*a + 5*a + 4*a)*(3*a - 3*a - a) + 3*a**2 + 0*a**2 - 2*a**2).
-25*a**4 - 3*a**2 - 2
Expand (-194 + 166 - 77)*(-493 + 6*p - 7*p + 772).
105*p - 29295
Expand 126*r**2 - 13*r**2 - 7*r**2 + (0*r - 2*r + 3*r)*(-2 + r + 2) + (r + 0*r + r)*(-r + 4 - 4) + 14*r**2 + 122 - 122.
119*r**2
Expand (2 - 3*x**2 - 2)*(388 - 408 - 537 - 990).
4641*x**2
Expand -s**2 + 5*s - 5*s + (0 - 2*s**2 + 0)*(4 - 1 - 5) + 0*s**2 - 3*s**2 + 2*s**2 + (-2*s - 3*s + 0*s)*(-91*s + 71*s + 109*s)*(3 + 0 - 4).
447*s**2
Expand (-3*c**3 + 2*c**4 + 3*c**3)*(6 - 4 - 16*c + 2*c + (0 - 3 + 2)*(-2*c - 2*c + 6*c) + c - 4 + 7 - 2*c - 5*c + 3*c - 4*c).
-46*c**5 + 10*c**4
Expand (-8 - 3088*r**3 - 1714*r + 3087*r**3 + 7)*(-2 - 1 - 2).
5*r**3 + 8570*r + 5
Expand (716*x**2 + 985*x**2 - 435*x**2)*(5*x**2 - x**2 - 3*x**2 + 1 + 2*x**2 - 1 + (2*x**2 - 5*x**2 + 4*x**2)*(-2 + 3 - 2)).
2532*x**4
Expand (-195*z**4 + 198*z**2 - 198*z**2)*((3 - 5 + 5)*(5*z - 4*z - 2*z) + 4 - z - 4 + 3*z - z - z).
585*z**5
Expand (-3*t**2 + 5*t**2 + 3*t**2)*(6 + 3 + 0) + 0*t**2 + 0*t**2 + 2*t**2 - 2*t + t**2 + 2*t + (-2 + 2 - 1)*(-t**2 - t**2 + t**2) + t**2 + 0*t**2 + 12*t**2.
62*t**2
Expand (-14 + 14 - q**2)*(5*q**2 - 2*q**2 - 5*q**2) - 51*q**4 + q + 0*q + 15*q**4.
-34*q**4 + q
Expand (1053 + 644 + 250)*(-4*s**5 - 17*s + 17*s).
-7788*s**5
Expand ((65 - 177 - 50)*(3*a**2 + a**2 - 5*a**2) + (-2 + 6 - 3)*(7*a**2 - a**2 - 3*a**2))*(-4*a**3 - a**3 + 4*a**3).
-165*a**5
Expand (6 + 8 + 1)*(7 - 3 + 0)*((28 + 19 - 29)*(3 - 3 + 2) + 0 - 3 - 1)*(-2*b**2 - b**2 + b**2).
-3840*b**2
Expand (3*o + 4*o - 3*o - o)*(-3 + 0 + 1)*(-4994 - 201*o + 4994).
1206*o**2
Expand -971270 + 971270 + 126*i**3 + (-2*i**3 - 4*i**3 + 4*i**3)*(2 + 0 + 0).
122*i**3
Expand (-128*u + 94*u + 63*u)*(1 + 2 - 2)*(-u**3 + 4*u**3 - u**3).
58*u**4
Expand (10*d - 12 + 12)*(44*d**3 - 8*d**2 - 32*d**3 - 35*d**3).
-230*d**4 - 80*d**3
Expand (-5 + 3 + 0)*(3*v**4 + 0*v**4 - v - v**4) + (10*v + 0*v + 0*v)*(181*v**3 + 20018*v - 20018*v).
1806*v**4 + 2*v
Expand 9*u**2 - 9*u**2 + 4*u**3 + ((-2 + 0 + 1)*(-2*u - 2*u + 3*u) + 210 + 32*u - 210)*(2*u**2 - 3*u**2 - u**2).
-62*u**3
Expand ((z**3 - 5*z**3 + z**3)*(0 + 4 - 2) + (-3*z - z + 3*z)*(7*z**2 + 3*z - 3*z))*(z**2 - 5*z**2 - z**2).
65*z**5
Expand (8 + 13 - 20 - 2*o)*(-3 + 3 - 10*o**2 + (-o + 4*o - 2*o)*(4*o - 4*o + o) + 3*o**2 + 2*o**2 - 4*o**2) - 5*o**3 + 27*o**3 + 3*o**3.
41*o**3 - 8*o**2
Expand (3*j - 4*j + 3*j)*(-2*j - 4*j + 4*j) + (j**2 - 8*j**2 + 6*j**2)*(-14 - 41 - 2).
53*j**2
Expand -97*b**3 + 110*b**3 + 164*b**3 + (-2*b - b - 3 + 2*b)*(-b**2 + 2*b**2 + 2*b**2).
174*b**3 - 9*b**2
Expand 0*k**3 - 2*k**4 + 0*k**3 + (-62*k - 160*k - 207 + 207)*(-5*k**3 + 5*k**3 - 3*k**3).
664*k**4
Expand -1 + 1 - 3*o + (2 - 2 + 2)*(-3*o + 3*o - o) - 16*o - 21*o + 76 + 36*o.
-6*o + 76
Expand (-1 - 2 + 5)*(-71*p - 2398 + 2398) - 25*p + 22 - 22 + (3*p - 3*p - p)*(-1 - 1 + 3).
-168*p
Expand -7*f**3 + f**3 + 3*f**3 - 5 + 58*f**3 + 15 - 59*f**3 + (-5*f**2 - 2 + 2)*(-2 + f + 2).
-9*f**3 + 10
Expand (-5 - 18 - 11)*(41 + 14 + 5)*(-4 - 1 + 3)*(-2 + 2 - l**3).
-4080*l**3
Expand ((-2 + 6 - 2)*(3 + 2*f - 3) + 0*f - 5*f + 4*f + 7*f - 4*f - 2*f + 2*f - 3*f + 0*f)*(-10 + f - 7*f + 9)*(-10 - 5*f + 10).
90*f**3 + 15*f**2
Expand 197*q**2 - 22*q - 2096*q**3 + 2098*q**3 - 194*q**2 + (-q - q + 0*q)*(-4*q - 3*q**2 + 4*q).
| {
"pile_set_name": "DM Mathematics"
} |
ut replacement from ffeee?
3/5
Calculate prob of picking 2 m, 1 z, and 1 o when four letters picked without replacement from zmomomogmmmzzzzmzgg.
63/646
Three letters picked without replacement from lkkklkkukgukuuk. What is prob of picking 1 g, 1 l, and 1 u?
8/455
Two letters picked without replacement from ppbppbphhbpp. Give prob of picking 2 p.
7/22
What is prob of picking 1 h, 1 p, and 2 i when four letters picked without replacement from {p: 1, g: 1, i: 8, h: 1, b: 4}?
4/195
Two letters picked without replacement from {u: 1, e: 3, f: 3, d: 1, z: 1, c: 2}. What is prob of picking 1 c and 1 e?
6/55
What is prob of picking 1 p, 2 l, and 1 j when four letters picked without replacement from {l: 3, p: 1, j: 1}?
3/5
Calculate prob of picking 2 g when two letters picked without replacement from hghhwgghhg.
2/15
What is prob of picking 1 o and 1 h when two letters picked without replacement from {h: 2, o: 7}?
7/18
Three letters picked without replacement from anllalanlall. What is prob of picking 1 n and 2 l?
3/22
Two letters picked without replacement from tnvveddk. Give prob of picking 1 e and 1 n.
1/28
Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {p: 3, e: 5, x: 3}.
3/11
What is prob of picking 1 z and 1 j when two letters picked without replacement from jzzthtk?
2/21
Three letters picked without replacement from ejnqoloqeljo. Give prob of picking 1 q, 1 l, and 1 o.
3/55
Two letters picked without replacement from {s: 1, r: 2, w: 7}. Give prob of picking 1 s and 1 r.
2/45
Two letters picked without replacement from {z: 2, s: 9, m: 5, h: 2}. Give prob of picking 1 s and 1 h.
2/17
Four letters picked without replacement from hbuhhbbhkhs. Give prob of picking 1 k, 2 h, and 1 u.
1/33
Four letters picked without replacement from {g: 2, n: 16}. Give prob of picking 2 g and 2 n.
2/51
Calculate prob of picking 1 a, 1 g, and 1 t when three letters picked without replacement from taang.
1/5
What is prob of picking 1 s and 3 u when four letters picked without replacement from {s: 2, u: 3, n: 4}?
1/63
Three letters picked without replacement from fpipjfipjcpcjpp. Give prob of picking 1 c and 2 p.
6/91
Three letters picked without replacement from {f: 3, g: 4, j: 1, p: 1, t: 3, n: 3}. What is prob of picking 2 t and 1 n?
9/455
Two letters picked without replacement from xwwwwxxwxwxwwxwxxwx. What is prob of picking 2 w?
5/19
What is prob of picking 2 k when two letters picked without replacement from {k: 2, e: 4, f: 4, n: 4}?
1/91
Four letters picked without replacement from deddedddde. What is prob of picking 1 d and 3 e?
1/30
What is prob of picking 2 y, 1 g, and 1 j when four letters picked without replacement from {g: 3, d: 1, j: 4, y: 2}?
2/35
What is prob of picking 1 c and 1 p when two letters picked without replacement from {z: 1, c: 1, p: 16}?
16/153
Calculate prob of picking 3 l and 1 e when four letters picked without replacement from {e: 1, l: 16, m: 3}.
112/969
What is prob of picking 2 x when two letters picked without replacement from ksxkoxxkoo?
1/15
Calculate prob of picking 2 c and 1 z when three letters picked without replacement from cwwccycwmmmyzmcc.
3/112
Calculate prob of picking 2 f, 1 o, and 1 s when four letters picked without replacement from {f: 4, o: 1, d: 1, s: 5}.
1/11
Calculate prob of picking 1 t and 1 c when two letters picked without replacement from odottddxcjjd.
1/33
Four letters picked without replacement from ccgcccgcccccgc. What is prob of picking 3 c and 1 g?
45/91
Three letters picked without replacement from {h: 14, t: 5}. Give prob of picking 1 h and 2 t.
140/969
Two letters picked without replacement from yyyyyyysyysyyysyyys. Give prob of picking 2 s.
2/57
Three letters picked without replacement from otootottyr. Give prob of picking 1 o, 1 r, and 1 y.
1/30
Calculate prob of picking 1 o and 1 u when two letters picked without replacement from jmjmmumwmo.
1/45
Four letters picked without replacement from {x: 1, y: 1, v: 3, q: 3, k: 6}. What is prob of picking 1 x, 1 k, and 2 v?
18/1001
Calculate prob of picking 1 l and 1 o when two letters picked without replacement from {l: 3, h: 1, o: 1}.
3/10
Four letters picked without replacement from {j: 4, l: 4, x: 2, r: 5, h: 1}. What is prob of picking 3 j and 1 r?
1/91
Two letters picked without replacement from nfnfnnnffnx. What is prob of picking 1 x and 1 f?
4/55
What is prob of picking 1 j and 1 z when two letters picked without replacement from tvctttzjjzvtcjjtvj?
10/153
Calculate prob of picking 4 c when four letters picked without replacement from {c: 7, g: 7}.
5/143
Three letters picked without replacement from {v: 1, p: 4, e: 3, o: 2}. What is prob of picking 2 o and 1 e?
1/40
Three letters picked without replacement from {e: 1, l: 2}. What is prob of picking 3 l?
0
Calculate prob of picking 2 o and 2 l when four letters picked without replacement from {o: 16, l: 2}.
2/51
Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {i: 1, o: 1, d: 1}.
1/3
Four letters picked without replacement from {j: 4, i: 1, v: 5, s: 3, l: 4, u: 1}. What is prob of picking 2 j, 1 s, and 1 i?
1/170
Three letters picked without replacement from {w: 2, k: 1, i: 2}. What is prob of picking 1 i and 2 w?
1/5
Four letters picked without replacement from mmmllmrmmm. Give prob of picking 4 m.
1/6
Four letters picked without replacement from wswwswwwwwwww. Give prob of picking 2 s and 2 w.
1/13
Calculate prob of picking 2 s when two letters picked without replacement from sssss.
1
Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {c: 1, v: 1, f: 1}.
1/3
Four letters picked without replacement from {z: 11, b: 2}. What is prob of picking 2 z and 2 b?
1/13
What is prob of picking 1 s and 1 o when two letters picked without replacement from {o: 1, i: 1, s: 3}?
3/10
Three letters picked without replacement from {r: 2, w: 2, m: 1, v: 3, s: 4}. Give prob of picking 2 s and 1 m.
3/110
Two letters picked without replacement from {v: 2, l: 17}. Give prob of picking 1 l and 1 v.
34/171
What is prob of picking 3 k and 1 d when four letters picked without replacement from {d: 6, k: 4}?
4/35
Two letters picked without replacement from {q: 1, l: 2, a: 1, w: 3, i: 4}. What is prob of picking 1 i and 1 a?
4/55
Three letters picked without replacement from essshsh. What is prob of picking 1 h, 1 e, and 1 s?
8/35
Four letters picked without replacement from lpqspqqssp. What is prob of picking 1 p, 2 s, and 1 l?
3/70
What is prob of picking 4 z when four letters picked without replacement from zjzzzjzzzzz?
21/55
Calculate prob of picking 3 x and 1 b when four letters picked without replacement from xxbbxbbbbbxxxx.
35/143
Two letters picked without replacement from yyyymyyqgyyqyugyq. What is prob of picking 1 u and 1 y?
5/68
Two letters picked without replacement from ululbulull. Give prob of picking 1 u and 1 b.
4/45
What is prob of picking 1 v, 2 g, and 1 j when four letters picked without replacement from {j: 1, g: 3, v: 3}?
9/35
Calculate prob of picking 2 y and 1 e when three letters picked without replacement from lfyleyfefffl.
1/110
Calculate prob of picking 2 t when two letters picked without replacement from hhhhthhhtht.
3/55
Two letters picked without replacement from {a: 1, l: 6, b: 10}. What is prob of picking 1 l and 1 a?
3/68
Two letters picked without replacement from rrxrxxxrrxrrxxrrxxrr. What is prob of picking 2 x?
18/95
Four letters picked without replacement from {e: 4, o: 2, s: 3, d: 3, k: 4, c: 2}. Give prob of picking 1 k, 1 d, and 2 s.
1/85
Two letters picked without replacement from rwkwmkwrwwwww. What is prob of picking 1 k and 1 w?
8/39
What is prob of picking 3 a when three letters picked without replacement from {s: 2, a: 4}?
1/5
What is prob of picking 1 f and 1 z when two letters picked without replacement from {y: 4, i: 1, f: 1, w: 1, q: 1, z: 4}?
2/33
Two letters picked without replacement from hhkhhlhrhflhhfhkhlhh. Give prob of picking 1 f and 1 h.
12/95
Three letters picked without replacement from {r: 9}. What is prob of picking 3 r?
1
What is prob of picking 3 p and 1 k when four letters picked without replacement from kkpppkk?
4/35
Four letters picked without r | {
"pile_set_name": "DM Mathematics"
} |
= -2*f**2 - f - 16. Determine w(0).
-16
Let q(u) = -20*u**3 + u**2 + 2*u - 2. Determine q(1).
-19
Let g(y) = 97*y + 8. Calculate g(-2).
-186
Let b(h) = 5*h - 86. Calculate b(18).
4
Let g(r) = r + 10. Give g(-10).
0
Let x(m) = -m**2 - 3*m + 11. Calculate x(-7).
-17
Let y(g) = -2*g**2 + 2*g + 49. What is y(6)?
-11
Let k(j) = -j**3 - 16*j**2 - 38*j + 19. What is k(-13)?
6
Let r(t) = -t**3 - 3*t**2 + 5*t - 5. Calculate r(4).
-97
Let j(d) = -d + 16. Give j(12).
4
Let t(b) = -2*b**2 - 4*b + 4. What is t(-6)?
-44
Let x(d) = 3*d**3 + 16*d**2 + 4*d + 12. Determine x(-5).
17
Let o(k) = k**3 - 4*k**2 - 9*k + 6. Determine o(6).
24
Let d(w) = -7*w - 2. What is d(1)?
-9
Let a(t) = -t**2 + 5*t + 1. Give a(9).
-35
Let g(x) = 2*x**3 - 3*x + 2. Calculate g(1).
1
Let m(p) = p**2 - p + 18. What is m(0)?
18
Let v(p) = p + 5. Calculate v(-5).
0
Let p(w) = -w + 7. What is p(4)?
3
Let f(w) = 20*w**3 - 3*w + 3. Give f(1).
20
Let z(b) = -b**3 - 7*b**2 + 19*b + 1. What is z(-9)?
-8
Let r(p) = -97*p**3 - 2*p**2 - p. Calculate r(-1).
96
Let j(o) = -14*o - 83. Determine j(-6).
1
Let r(m) = -m**3 + 7*m**2 + 29*m + 9. What is r(10)?
-1
Let l(m) = -m**2 - 12*m - 3. Calculate l(-9).
24
Let o(d) = -24*d + 1. Give o(1).
-23
Let u(h) = -h - 7. Calculate u(-2).
-5
Let k(t) = 11*t - 56. Give k(6).
10
Let k(r) = 2*r**2 + 18*r + 27. What is k(-7)?
-1
Let y(v) = 55*v - 283. Calculate y(5).
-8
Let n(x) = -x**2 - 8*x + 13. Calculate n(-5).
28
Let g(j) = -46*j + 1. Calculate g(1).
-45
Let g(t) = 31*t + 4. What is g(-4)?
-120
Let n(z) = -z + 37. Calculate n(-16).
53
Let j(f) = -5*f**2 + 15*f - 28. What is j(2)?
-18
Let c(l) = l**2 + 53*l + 243. Give c(-48).
3
Let p(s) = s**2 - 4*s - 10. Determine p(7).
11
Let z(t) = -t**2 - 3*t + 1. Give z(-6).
-17
Let v(n) = 3*n**2 - 11*n + 25. What is v(2)?
15
Let g(s) = s**2 - 9*s - 16. Calculate g(11).
6
Let s(g) = 2*g**2 + 6. Determine s(6).
78
Let w(k) = -k**2 - 1. Calculate w(0).
-1
Let m(q) = -q**2 + 14*q - 7. Determine m(8).
41
Let r(y) = -4*y - 21. Calculate r(-9).
15
Let b(v) = 6*v + 53. What is b(-10)?
-7
Let l(s) = -s**3 - 4*s**2 - 2*s - 9. What is l(-4)?
-1
Let h(f) = -2*f**3 + 33*f**2 - 18*f + 11. What is h(16)?
-21
Let h(a) = 7*a**3. Determine h(2).
56
Let t(p) = 2*p**2 - 67*p + 209. Give t(30).
-1
Let a(v) = -v + 23. Calculate a(16).
7
Let m(f) = f**3 - f**2 + 2*f + 4. Determine m(-4).
-84
Let h(l) = 7*l**2 + 400*l + 49. Determine h(-57).
-8
Let h(b) = 7*b**2 - 92*b + 33. Calculate h(13).
20
Let o(p) = -p + 18. Give o(14).
4
Let i(l) = 17*l - 18. Determine i(2).
16
Let x(w) = -2*w. Calculate x(5).
-10
Let l(t) = -t**3 - 26*t**2 + 2*t + 48. Calculate l(-26).
-4
Let n(j) = -j**3 - 2*j**2 - 3*j. Determine n(-4).
44
Let r(o) = o**2 + 44*o - 12. What is r(-44)?
-12
Let t(w) = -6*w + 26. Determine t(3).
8
Let d(x) = -15*x - 87. Determine d(-6).
3
Let n(z) = -25*z + 9. Determine n(-8).
209
Let p(d) = -d**2 + 5*d - 5. Determine p(1).
-1
Let n(k) = 2*k. Give n(15).
30
Let p(q) = -32*q + 1. Give p(2).
-63
Let t(b) = -b - 29. Give t(-12).
-17
Let o(b) = b**2 + 13*b + 32. Determine o(-11).
10
Let o(u) = 5*u - 2. Determine o(-3).
-17
Let d(r) = -7*r + 89. Determine d(11).
12
Let p(q) = q**3 + 5*q**2 + 3*q + 4. Give p(-4).
8
Let b(f) = 12*f - 85. Give b(6).
-13
Let w(c) = -3*c + 4. Give w(5).
-11
Let v(p) = -p**2 + 21*p - 108. Give v(9).
0
Let n(a) = 2*a**3 + 9*a**2 + 2*a - 6. Determine n(-2).
10
Let b(k) = -k**2 + 14*k - 53. Calculate b(7).
-4
Let z(a) = a**2 - 13*a - 4. Give z(13).
-4
Let s(m) = 25*m + 2. Give s(1).
27
Let u(i) = 69*i**3 - i**2 + 2*i - 2. Calculate u(1).
68
Let m(y) = -y**3 + 6*y**2 + 25*y - 2. What is m(-3)?
4
Let z(c) = -3*c - 7. Calculate z(-11).
26
Let n(z) = 28*z + 74. Calculate n(-3).
-10
Let c(f) = -f**3 - f - 1. What is c(-2)?
9
Let v(o) = -o - 17. What is v(-22)?
5
Let y(s) = -s**3 + 7*s**2 - s + 10. Give y(7).
3
Let z(y) = 6*y**2 - 49*y + 9. What is z(8)?
1
Let p(j) = 7*j**2 - 85*j + 10. What is p(12)?
-2
Let m(v) = 24*v + 846. Calculate m(-35).
6
Let q(k) = k**3 + 7*k**2 - 6*k - 14. Calculate q(-7).
28
Let d(k) = k**2 - 15*k - 10. Determine d(16).
6
Let f(q) = -q**2 + 9*q - 7. Determine f(8).
1
Let p(b) = b**2 + 11*b + 3. What is p(-7)?
-25
Let d(m) = -2*m**3 - 2*m + 6. Determine d(-3).
66
Let c(y) = y**2 + 10*y + 1. Determine c(-5).
-24
Let y(f) = 3*f + 1. Give y(-3).
-8
Let x(l) = l**3 + 31*l**2 - 39*l - 107. Give x(-32).
117
Let q(a) = a + 3. Give q(6).
9
Let h(d) = d**2 - 41*d + 158. Calculate h(37).
10
Let c(q) = -11*q**2 - q. Calculate c(1).
-12
Let w(n) = -n**2 - 4*n + 8. What is w(-8)?
-24
Let f(d) = d**3 + 7*d**2 - d + 19. Give f(-7).
26
Let u(l) = 3*l**3 + 3*l**2 - l - 2. What is u(-2)?
-12
Let p(x) = -11*x**2 + x + 5. Calculate p(3).
-91
Let a(s) = 2*s - 48. What is a(-20)?
-88
Let m(k) = 21*k - 113. Calculate m(6).
13
Let n(y) = y**2 - 5*y + 1. What is n(5)?
1
Let w(j) = j**3 - 20*j**2 + 86*j - 18. Give w(14).
10
Let a(q) = q**2 + 38*q - 76. Calculate a(2).
4
Let i(m) = m**2 - 10*m + 3. Calculate i(0).
3
Let y(u) = u**3 + 10*u**2 - 5*u + 15. Give y(-11).
-51
Let a(n) = n**3 + 28*n**2 - 30*n - 30. Calculate a(-29).
-1
Let v(f) = f**3 - 5*f**2 - 9*f + 22. Determine v(6).
4
Let w(o) = 3*o + 9. Determine w(-3).
0
Let x(s) = 4*s**3 - 4*s**2 + 5*s - 1. What is x(1)?
4
Let g(j) = -j**3 - 3*j**2 + 4*j - 1. Give g(-4).
-1
Let l(x) = 5*x - 26. Calculate l(12).
34
Let s(q) = -q**3 - 4*q**2 + 9*q - 14. Calculate s(-6).
4
Let f(t) = 2*t**2 - 3*t - 4. Determine f(0).
-4
Let x(r) = -28*r**3 + r**2 + r. Calculate x(-1).
28
Let r(m) = 7*m**3 - 2*m**2 + 24*m - 23. Calculate r(1).
6
Let t(h) = h**2 - 18*h + 9. Give t(12).
-63
Let l(q) = -q**2 - 2*q + 46. Calculate l(-8).
-2
Let w(k) = -k**2 - 21*k - 26. What is w(-20)?
-6
Let r(m) = 8*m + 1. Calculate r(1).
9
Let c(t) = 4*t + 13. Give c(13).
65
Let q(j) = 2*j**3 + 19*j**2 + 10*j + 12. What is q(-9)?
3
Let h(w) = -w**3 - 23*w**2 + w - 6. Calculate h(-23).
-29
Let t(f) = -2*f**2 - 34*f + 170. What is t(4)?
2
Let i(f) = -f**3 + 2*f**2 - 3*f + 5. Determine i(3).
-13
Let s(n) = -5*n**3 - n**2 + n - 3. Give s(2).
-45
Let p(z) = -12*z - 127. What is p(-11)?
5
Let g(r) = -r**2 - 10*r + 62. Give g(-14).
6
Let z(v) = -2*v**3 - 5*v**2 + v + 9. Determine z(-3).
15
Let m(i) = i**2 + 4*i - 9. What is m(-5)?
-4
Let i(j) = -7*j + 41. What is i(6)?
-1
Let k(v) = v**2 + 7. Determine k(-6).
43
Let y(k) = -k**3 + 20*k**2 - k + 33. Determine y(20).
13
Let v(c) = c**2 + 22*c + 2. Determine v(-21).
-19
Let d(i) = -i**3 - 12*i**2 - 16*i - 1. Determine d(-11).
54
Let b(u) = 11*u - 14. What is b(4)?
30
Let i(j) = 13*j + 1. Give i(1).
14
Let k(v) = -v**3 + 4*v**2 + 13*v - 4. What is k(8)?
-156
Let s(a) = a**3 - a**2 - 12. Determine s(0).
-12
Let r(n) = 5*n**3 + 2*n**2 + 7*n + 16. Give r(-2).
-30
Let a(u) = -6*u - 6. Give a(-2).
6
Let z(c) = 2*c - 32. Give z(5).
-22
Let u(g) = -g**2 - 30*g - 114. Calculate u(-25).
11
Let z(r) = 7*r - 38. What is z(6)?
4
Let w(f) = -f**2 + f + 14. Calculate w(-7).
-42
Let c(p) = -p**2 + p + 8. Calculate c(0).
8
Let p(u) = 19*u**2 - 3*u + 7. What is p(2)?
77
Let x(p) = p**3 + 3*p**2 + p - 4. Give x(-3).
-7
Let d(f) = 2*f + 7. Give d(-3).
1
Let a(s) = -4*s - 86. Calculate a(-20).
-6
Let q(w) = -21*w**2 + 1. What is q(1)?
-20
Let o(l) = -7*l - 108. Give o(-9).
-45
Let m(a) = 6*a**2 - 276*a + 7. Give m(46).
7
Let a(k) = -k**2 + k + 25. What is a(-9)?
-65
Let s(t) = 4*t**2 + 2*t + 1. What is s(-1)?
3
Let z(w) = w**3 - 11*w**2 + 8*w + 12. Determine z(10).
-8
Let q(j) = -j**3 + 14*j**2 - 10*j + 17. Give q(13).
56
Let n(a) = 3*a**2 + 37*a + 101. Determine n(-3).
17
Let m(v) = -v**3 - 12*v**2 - v - 5. What is m(-12)?
7
Let g(f) = -f**2 + 8. Give g(5).
-17
Let d(v) = -v**3 - 4*v**2 + 11*v + 43. What is d(-4)?
-1
Let o(l) = l + 24. Determine o(-12).
12
Let n(h) = -h**2 + 10*h + 96. Give n(-6).
0
Let t(o) = -o**3 - 7*o**2 - 2*o - 1. Calculate t(-4).
-41
Let c(f) = 2*f**2 - 7*f. Determine c(-5).
85
Let g(i) = -i**3 + 12*i**2 + 12*i + 8. Give g(13).
-5
Let h(z) = -4*z + 145. Give h(38).
-7
Let c(i) = 3*i**2 - 2*i - 2. What is c(-1)?
3
Let o(h) = -h**3 + 5*h**2 - 5*h - 5. What is o(5)?
-30
Let v(y) = y**3 + 14*y**2 + 2*y + 18. Determine v(-14).
-10
Let v(b) = b - 10. Determine v(8).
-2
Let y(n) = -5*n - 7. Give y(-4).
13
Let s(i) = i - 11. Calculate s(-10).
-21
Let q(a) = -14*a + 11. | {
"pile_set_name": "DM Mathematics"
} |
1).
-1
Let w be 1*((-2)/(-7) + (-38)/(-14)). Let y(s) be the third derivative of -s**4/4 + 2*s**3/3 + 433*s**2. Give y(w).
-14
Let y(n) = 1653*n**2 - 828*n**2 + 9 + n**3 - 3 - 33 - 830*n**2 - 3*n. Give y(6).
-9
Let q(a) = -a**2 + 9*a + 4. Let x(y) = -73*y - 949. Let c be x(-13). Give q(c).
4
Let t(m) = m**3 - 5*m**2 + 4*m + 5. Let u = 148 + -258. Let b = -106 - u. Give t(b).
5
Let o(f) = 4*f**2 + f - 2. Let x be o(1). Let z(a) be the second derivative of -1 + 2*a - 3/2*a**2 - 2/3*a**3. Give z(x).
-15
Let q(t) = -7*t + 1. Let n(c) = 15*c - 2. Let k(h) = 4*n(h) + 7*q(h). Let z be (-1)/(-6) - (-69)/18. Suppose -2*f + 8 = 0, -z*s - 5*f + 6 = -10. Determine k(s).
-12
Let x = 80 + -76. Suppose -x*v = 2*q, 4*v + 6 = -q + 4. Let h(a) = -12 + 5 + 3*a**q + 5. What is h(2)?
10
Let x = -21 + 29. Let c(i) be the first derivative of -i**6/360 + i**5/15 - i**4/6 - 13*i**3 - 38. Let r(u) be the third derivative of c(u). Calculate r(x).
-4
Let q(o) = o**3 + 15*o**2 + 19*o - 7. Suppose -36*u - 3 = 481 + 20. Determine q(u).
-77
Let o(w) = w**3 - 3*w**2 + 10*w - 2. Let u(n) = 2*n**2 - 3*n. Let p(x) = -2*o(x) - 6*u(x). What is p(-4)?
44
Let t = -1206 - -1192. Let l(i) = -i**2 - 12*i - 12. Give l(t).
-40
Let v(t) = t**2 - 7*t - 16. Let m(u) = -302*u + 4539. Let a be m(15). Give v(a).
2
Let x(y) be the first derivative of -y**3/3 - 5*y**2 + 9*y - 8782. Suppose -j - 8 = 3. What is x(j)?
-2
Let d(k) = -k**2 + k + 4. Let l(s) = 8 - 5 - 1 - 1. Let o(h) = d(h) - 3*l(h). Let t be o(-2). Let f(g) = -g**2 - 7*g - 2. What is f(t)?
8
Let j(f) = 8 + f + 0 + 1. Suppose 230*y = -5*o + 231*y, -o + y = 0. What is j(o)?
9
Let k(l) = -l**2 + l. Let n(b) = -13*b**2 + 4*b. Let i be 2/(-11) - 4/(-22) - 5. Let t(s) = i*k(s) + n(s). Let w be 0 - (5 - 0) - -4. Calculate t(w).
-7
Let t(v) = -3*v**2 + 4*v - 5. Let s(l) be the first derivative of -4*l**3/3 + 2*l**2 - 5*l - 8. Let m(i) = -4*s(i) + 5*t(i). Determine m(-4).
-5
Let w be -21 + ((-21)/63 - 88/(-12)). Let p(s) = s**2 - 2*s - 228. Give p(w).
-4
Let r(s) be the second derivative of s**3/3 + 11*s**2/2 + 11*s - 15. Determine r(18).
47
Let k(t) = t**3 - 5*t**2 - 5*t - 5. Suppose 0 = -18*a - 3*a + 3*a. Let o be (-2 + (-4 - a))/(-10 + 9). Determine k(o).
1
Let q be 6*2/(-8)*-6. Suppose 88 = -q*v - 2*v. Let r(i) = -2*i - 19. Let l be r(v). Let k(z) = z - 3. Give k(l).
-6
Let k(x) = x**3 + 17*x**2 - x - 23. Let d(y) = 100*y - 1017. Let v be d(10). What is k(v)?
-6
Let j(s) = -9*s - 104. Suppose -m - 4*r + 28 = 74, 3*r = m - 10. Calculate j(m).
22
Let x(o) = -o**2 + 4*o - 9. Suppose 0 = 2*t - 37 + 27. Suppose -25 = -5*l + 5*d, 8*l - t = 7*l + 3*d. What is x(l)?
-14
Let u(w) = -17*w**3 + 46*w**2 + 28*w - 12. Let z(o) = 5*o**3 - 14*o**2 - 9*o + 4. Let p(g) = -2*u(g) - 7*z(g). Let q be -14*(-8 - -3)/10. Calculate p(q).
-4
Let l be -3*-1*4/3. Let g = 6 - l. Let c(b) = 49*b - 12*b + 13 - 27 + 13 - 16*b - 18*b. Calculate c(g).
5
Suppose 4*l - 331*b + 329*b - 6 = 0, 1 = -3*l - 4*b. Let p(a) = -a + 1. Let k(c) = 4*c - 5. Let r(h) = 2*k(h) + 9*p(h). Give r(l).
-2
Let x(h) = 9*h**2 - 14*h + 31. Let p(y) = -10*y**2 + 14*y - 32. Let k(t) = -8*p(t) - 9*x(t). Give k(7).
26
Let p be ((-273)/156)/(1/(-120)). Let x = p - 206. Let n(i) = i**2 - 3*i + 1. Determine n(x).
5
Let g(k) = 6*k**2 + 2 + 3*k + 5 - 5*k**2. Let o be (36/45)/((-20)/150). Give g(o).
25
Let f(d) = 2*d**2 - 33*d - 31. Suppose 936 = 62*q - 10*q. What is f(q)?
23
Let v(j) = -j**2 - 9*j - 10. Suppose 5*n + 5*d + 60 = 7*d, -n - 4*d = -10. Calculate v(n).
-20
Let u(j) = 32*j - 1. Suppose 154*y + 10 = 159*y + z, 0 = y - z + 4. Determine u(y).
31
Let d(p) = -p**3 + 6*p**2 - 15*p + 57. Let b be d(5). Let z(x) = -1765 + 3*x - b*x + 1779. What is z(6)?
-10
Let o(g) be the third derivative of -g**5/60 - 3*g**4/4 - 13*g**3/2 + 36*g**2 - 3*g. Determine o(-17).
-22
Let m(z) = -1296*z - 116 + 434*z + 435*z + 434*z. Give m(15).
-11
Let a be (-6)/(-8)*(-8 - 252/(-27)). Let p(k) = -7 + k - 11 - a + 21. What is p(7)?
9
Let d(p) be the second derivative of -p**7/2520 - p**6/120 + p**5/60 - 161*p**4/12 + 275*p. Let b(t) be the third derivative of d(t). Determine b(-5).
7
Let g(m) = 6*m**3 - 2*m**2 - m. Suppose -h + 10 = 2*u - u, 3*h + 5*u = 24. Suppose -9*q + h = -22*q. Calculate g(q).
-7
Let l(x) be the first derivative of -7*x**3 + x**2 + x + 4. Let b = -3023 + 3022. Calculate l(b).
-22
Let m(r) = r**3 - 5*r**2 + 6*r - 3. Let y(i) = -10*i + 125. Let w be y(12). Suppose k - n - 16 = -3*k, w*n + 8 = 2*k. What is m(k)?
5
Suppose 3*z - 24 = -2*s - 40, -3*s - 15 = 3*z. Let t(y) = -3*y + 4*y - 3*y - 3. Calculate t(z).
9
Let d(m) = -m**2 + 8*m + 1. Let t be (-6)/(-4)*36/(-189)*-7. Suppose 4 = -t*i, 2*a - i - 10 - 4 = 0. Calculate d(a).
13
Let c(d) = -2 + 7*d**3 - 5*d**3 - 3*d**3 + 2*d - 4*d**2. Suppose 23*w + 355 = 263. Give c(w).
-10
Let c(w) be the third derivative of w**6/120 + 17*w**5/60 - 3*w**4/4 - w**3/2 - 44*w**2. What is c(-18)?
-3
Let x = 1 + 1. Let k(r) be the second derivative of -11*r**3/6 + 2*r**2 - 31989*r. Give k(x).
-18
Let z(q) = q**3 - 2*q**2 - 5*q + 2. Let n be ((-2)/4)/(6 - 29729/4956). Let x = n + 357. Give z(x).
-4
Let s be (-1*(-1)/(-1))/((-5)/(-115)). Let m be s + 20 + (-2)/(-2). Let r be (-902)/110 - m/10. Let g(b) = -2*b - 11. What is g(r)?
5
Let d(t) = t**2 - 2*t. Let h(v) be the first derivative of 3 + 1/3*v**3 - 4*v - v**2. Let l be h(4). What is d(l)?
8
Let v(j) = -92*j - 97. Suppose 109 = 8*t + 117. Determine v(t).
-5
Let n(t) = -24*t - 1. Let d = 12711 - 12712. Determine n(d).
23
Let w(c) be the first derivative of 3*c**2/2 + 42*c + 197. What is w(-15)?
-3
Let k be (8/4)/(-1) - -2. Suppose -3*z - 12 = l, 8 = -5*l + 6*l - z. Let v(q) = -l*q + 4*q + 46 - 2*q - 31. Give v(k).
15
Let r(u) = u**2 - 9*u - 22. Suppose 246*s + 487 - 696 = 2005. What is r(s)?
-22
Let z be 1/(-18 + 1022/56). Let r(i) be the first derivative of -5*i**2/2 + 4*i + 1. Give r(z).
-16
Let g(i) = i - 2. Suppose 27 = 2*n + n. Let t(x) = 4*x - 7. Let r(b) = n*g(b) - 2*t(b). Suppose -5 = -m + 2. Determine r(m).
3
Suppose 371*y - 11 = 375*y + 3*f, -4*f + 20 = y. Let m(c) = 6*c + 27. What is m(y)?
-21
Let d(j) = -2*j**2 + 45*j + 72. Let m(c) = 24*c**2. Let w be m(1). Give d(w).
0
Let z(x) = 0*x**3 + 1624185*x**2 - 8*x - 1624172*x**2 - 33 - x**3. Determine z(12).
15
Let m = -146 - -148. Let v(a) = 438*a**2 - 150*a**2 - a**3 - 12 - 149*a**m - 147*a**2 + 7*a. Calculate v(-9).
6
Suppose -3*l - 5*u = -43, -8*l + u = -5*l - 13. Suppose -5*v - l*t + 12 = -3*t, 0 = -4*v - 3*t + 9. Let r(f) = -f**2 + 3*f - 5. Calculate r(v).
-5
Let z(p) be the second derivative of p**4/12 + 10*p**3/3 - 91*p**2/2 - 602*p. Calculate z(-24).
5
Let u = 44 - 42. Suppose -u*i - 15 = -7*i. Let p(c) = c**i - 3*c + 2 + 0*c - 3*c**3 + 3*c**2 + 3*c**3. Calculate p(-4).
-2
Let l(a) = a**3 + 11*a**2 - a - 13. Let k(p) = -8*p + 107. Let c be k(23). Let o be (24/(-14) - -2) + 869/c. Determine l(o).
-2
Let h(x) = x**2 + 3*x - 17. Suppose 20*a + 19*a - 195 = 0. Give h(a).
23
Let m = 36 - 28. Let g(j) = -j**2 + 7*j + 18. Let x be g(m). Let i(s) = s**3 - 10*s**2 + s - 10. Calculate i(x).
0
Let m(c) = -c**3 - 6*c**2 - 6*c - 5. Let l = 106 + -22. Suppose -12*a + l = -26*a. Determine m(a).
31
Let i(w) be the second derivative of 1 - 1/6*w**3 + 1/2*w**2 + 1/6*w**4 + 42*w. Suppose -f - 4 = 3*n, f = -0*f + 5*n + 12. What is i(f)?
7
Let r(f) = -11 - 351*f**2 + f**3 + 6*f + 15 + 343*f**2. What is r(6)?
-32
Suppose -116 = 3*x - 2*q, -5*q - 109 = 5*x - 2*x. Let i = 72 + x. Let z = i - 44. Let k(l) = -l**2 - 11*l - 4. What is k(z)?
6
Let n(x) = x**2 + x - 1. Let k(d) = 5*d**2 + d - 1. Let h = 89 + -85. Suppose 0 = -5*l - h - 1. Let i(c) = l*k(c) + 6*n(c). What is i(-7)?
9
Let m(h) = -4*h**3 - 30*h**2 - 13*h + 17. Let k(p) = -3*p**2 + 152*p + 533. Let n be k(54). Give m(n).
10
Let y(u) = 7 + u**2 + 3*u - 2 - 1. Suppose 8*t - 18 + 2 = 0. Suppose -9*l + 12*l = -t*z - 12, -l = 3*z + 4. Calculate y(l).
8
Let m(u) = u**3 - u**2 + 2. Suppose -5*c + 3*t + 254 = -0*t, 2 = t. Suppose -3 + c = 7*f. Suppose 0 = 3*i + 12, -o + 3*i + f = -5. What is m(o)?
2
Suppose 96*n - 104*n = 56. Let v(y) be the first derivative of y**2 + 9*y - 1. Let k be v(n). Let d(f) = -2*f - 4. Give d(k).
6
Let d(u) = 129*u - 191. Let g(w) = 24*w - 38. Let j(y) = -3*d(y) + 16*g(y). Give j(-18).
19
Let j(v) = -1 | {
"pile_set_name": "DM Mathematics"
} |
06235.
685
Calculate the greatest common factor of 20 and 5227070.
10
Calculate the greatest common factor of 2627408 and 140.
28
What is the greatest common divisor of 48 and 264336?
48
Calculate the greatest common factor of 5 and 76435.
5
What is the highest common divisor of 137897 and 5329?
73
What is the greatest common divisor of 60051 and 222?
111
Calculate the greatest common divisor of 798 and 27006.
42
Calculate the highest common factor of 10974093 and 1798.
899
Calculate the greatest common factor of 209 and 268660.
19
What is the greatest common divisor of 763880 and 104?
104
What is the greatest common divisor of 79145 and 2750?
55
Calculate the greatest common divisor of 3275297 and 103.
103
What is the greatest common divisor of 122 and 23363?
61
Calculate the greatest common factor of 20 and 52430.
10
What is the highest common divisor of 1120 and 419720?
280
Calculate the highest common factor of 16 and 90416.
16
What is the greatest common divisor of 3668 and 9?
1
What is the highest common divisor of 18 and 624126?
6
What is the greatest common factor of 2975 and 83725?
425
What is the greatest common factor of 114348 and 468?
156
Calculate the highest common factor of 2322481 and 1491.
497
Calculate the greatest common factor of 844 and 5114218.
422
Calculate the highest common divisor of 1620540 and 540.
540
Calculate the greatest common divisor of 441960 and 5.
5
What is the greatest common factor of 4930 and 1230?
10
Calculate the greatest common factor of 16089 and 465.
93
Calculate the highest common divisor of 43 and 1405025.
43
Calculate the greatest common factor of 135016 and 840.
56
What is the highest common divisor of 857298 and 379?
379
Calculate the greatest common factor of 176 and 828344.
88
What is the greatest common divisor of 196 and 3647854?
98
Calculate the highest common divisor of 78 and 30342.
78
Calculate the greatest common divisor of 325 and 119275.
325
Calculate the highest common divisor of 85827 and 357.
21
Calculate the greatest common factor of 10292 and 10106.
62
What is the greatest common factor of 16 and 938096?
16
Calculate the greatest common divisor of 13176 and 67588.
244
Calculate the highest common divisor of 5216088 and 72.
24
Calculate the highest common divisor of 1326 and 13974.
102
Calculate the greatest common factor of 62064 and 18.
18
Calculate the highest common factor of 361307 and 6877.
529
Calculate the greatest common divisor of 910 and 205135.
35
Calculate the greatest common factor of 33 and 242088.
33
Calculate the greatest common divisor of 3626 and 539.
49
What is the greatest common divisor of 16656 and 2856?
24
What is the greatest common divisor of 6954 and 17898?
114
Calculate the greatest common factor of 4884 and 1716.
132
What is the highest common divisor of 4976 and 1744?
16
What is the greatest common factor of 2664 and 50283?
333
What is the highest common factor of 30747 and 296?
37
What is the greatest common divisor of 1911765 and 1398?
699
Calculate the greatest common factor of 4968 and 1081.
23
What is the highest common divisor of 13168344 and 761?
761
What is the greatest common divisor of 143 and 19409?
13
Calculate the highest common factor of 2 and 10142.
2
What is the greatest common factor of 7 and 85757?
7
Calculate the highest common divisor of 313866 and 234.
18
Calculate the highest common factor of 1495 and 679055.
65
Calculate the greatest common divisor of 609 and 35217.
21
What is the highest common factor of 3190 and 485518?
638
What is the highest common factor of 324 and 21348?
36
What is the greatest common divisor of 21758 and 315964?
946
What is the greatest common divisor of 2560 and 2112?
64
What is the greatest common divisor of 48 and 32172?
12
Calculate the highest common divisor of 891 and 354.
3
What is the highest common divisor of 1244907 and 18?
9
What is the highest common divisor of 1121 and 11269?
59
Calculate the highest common divisor of 225 and 333.
9
Calculate the greatest common divisor of 627 and 11979.
33
Calculate the greatest common factor of 19370 and 1341.
149
What is the highest common factor of 31293 and 342?
171
What is the greatest common factor of 14625114 and 42?
42
Calculate the greatest common factor of 913 and 1034429.
913
Calculate the greatest common factor of 4608 and 52.
4
What is the greatest common divisor of 118575 and 425?
425
What is the highest common divisor of 2 and 616982?
2
Calculate the greatest common divisor of 103888 and 1849.
43
Calculate the greatest common factor of 130725 and 378.
63
Calculate the highest common factor of 19366 and 46.
46
Calculate the highest common factor of 2788170 and 11.
11
Calculate the greatest common factor of 60348 and 134796.
564
Calculate the greatest common factor of 77318 and 14874.
134
Calculate the greatest common factor of 45535 and 749.
7
What is the greatest common factor of 559027 and 49?
7
What is the greatest common divisor of 7929 and 423?
9
What is the highest common factor of 1260 and 576?
36
What is the highest common factor of 384128 and 128?
128
What is the highest common divisor of 2626 and 103424?
202
What is the greatest common divisor of 30461 and 11039?
83
Calculate the greatest common divisor of 128 and 738464.
32
Calculate the greatest common factor of 6388480 and 40.
40
What is the greatest common factor of 427 and 1123193?
61
Calculate the greatest common factor of 517 and 30832.
47
Calculate the highest common factor of 462 and 14154.
42
Calculate the greatest common factor of 360 and 21040.
40
What is the greatest common factor of 294 and 102900?
294
Calculate the highest common divisor of 3 and 36303.
3
Calculate the highest common divisor of 6265 and 3815.
35
Calculate the greatest common factor of 19 and 491720.
19
What is the highest common divisor of 8 and 210536?
8
What is the highest common factor of 19830 and 570?
30
What is the highest common divisor of 110891 and 17?
17
Calculate the greatest common divisor of 7526 and 426.
142
Calculate the highest common factor of 432 and 280134.
18
Calculate the highest common divisor of 200 and 30700.
100
What is the greatest common factor of 24869 and 52?
13
Calculate the greatest common factor of 812 and 365864.
116
What is the highest common factor of 8734 and 15730?
22
Calculate the greatest common divisor of 1579233 and 93.
93
What is the highest common divisor of 19 and 47063?
19
What is the highest common divisor of 34665 and 120?
15
Calculate the greatest common divisor of 68 and 15515492.
68
Calculate the highest common divisor of 480 and 4150.
10
What is the highest common factor of 33597 and 117?
9
Calculate the highest common divisor of 689 and 9593.
53
Calculate the highest common divisor of 14841 and 15453.
153
Calculate the highest common factor of 69237 and 126.
63
What is the highest common divisor of 528434 and 386?
386
What is the highest common factor of 6025 and 964?
241
What is the highest common factor of 2232 and 22599?
279
What is the highest common factor of 57280 and 20?
20
Calculate the highest common factor of 935 and 15.
5
Calculate the highest common factor of 110 and 1313290.
110
What is the highest common divisor of 4 and 2792?
4
What is the greatest common factor of 4826 and 42418?
254
What is the greatest common factor of 226800 and 25?
25
What is the greatest common divisor of 752470 and 2350?
470
What is the greatest common factor of 393 and 128773?
131
Calculate the highest common factor of 1044 and 28476.
36
What is the highest common divisor of 12 and 23478?
6
What is the highest common divisor of 1360528 and 208?
208
Calculate the highest common factor of 2455546 and 58.
58
What is the greatest common divisor of 180 and 31455?
45
What is the greatest common divisor of 1175 and 11515?
235
Calculate the greatest common factor of 2262432 and 96.
96
What is the greatest common divisor of 1638 and 2576028?
546
Calculate the greatest common factor of 1017605 and 813.
271
Calculate the highest common factor of 6 and 2342.
2
What is the greatest common divisor of 71292 and 260?
52
What is the highest common divisor of 896 and 37744?
112
Calculate the greatest common divisor of 4540 and 189772.
908
What is the greatest common factor | {
"pile_set_name": "DM Mathematics"
} |
(m) = -m**2 + 39*m + 280. Let y be b(45). Let l(a) be the first derivative of a**3/3 - 4*a**2 + 11*a + 2. Calculate l(y).
31
Let k(p) be the first derivative of 0*p + 2 - 1/2*p**2. Let r = 251 + -244. Calculate k(r).
-7
Let k(g) = 2*g + 1 - 2*g**2 + g**2 - 2 - g. Let t(q) = -q**3 - q**2 + 8*q - 7. Let j(i) = -3*k(i) + t(i). Let o be 90/21 - 2/7. Give j(o).
-16
Let z(m) be the second derivative of 0 - 2/3*m**3 + 37*m + 11/2*m**2 - 1/20*m**5 - 7/12*m**4. Give z(-6).
-1
Let t(r) = -r + 11. Let h(k) = -36 + 20*k - 10*k - 8*k. Let x be h(22). What is t(x)?
3
Suppose -5*o = -2*r - 31, o + 2*r - r - 2 = 0. Suppose f = -3*j + 4, -o*f + 5 = -j + 1. Let v(d) = -17*d**2. What is v(j)?
-17
Let a(p) = -p - 5. Let o(m) = m**2 - 13*m - 2. Let w(h) = -h**2 - h + 223. Let r be w(14). Let n be o(r). What is a(n)?
-3
Let q(c) = 3*c**2 - 3*c + 13. Let j(y) = 14*y**2 - 15*y + 57. Let i(s) = -2*j(s) + 9*q(s). Suppose 4*o + 0*o - 12 = 0. Give i(o).
3
Let w = -85 + 84. Let u(r) = 55*r**2 + 6*r - 7. Let i(z) = 152*z**2 + 17*z - 19. Let o(g) = -4*i(g) + 11*u(g). Calculate o(w).
-2
Let q(n) = 6*n**3 - 2*n + 1. Let s(a) = -a**2 + 29*a + 147. Let v be s(33). Let g(y) = 3*y - 44. Let u be g(v). Determine q(u).
5
Let g(o) = 5*o**2 - 19*o + 236. Let i(w) = -14*w**2 + 57*w - 648. Let r(t) = 11*g(t) + 4*i(t). Give r(15).
64
Let c = -82 + 88. Suppose q + 2*q = c. Suppose -o - 1 = q*d, 0*d - 2*d = -3*o + 5. Let n(z) = z**3 + z**2 + z. What is n(d)?
-1
Let u(y) be the third derivative of y**6/120 - y**5/15 - 3*y**4/8 + 17*y**3/6 + 1947*y**2. What is u(5)?
-3
Let j(v) = -v - 1. Let z = -45 - 87. Let d = z + 136. What is j(d)?
-5
Let c(p) = -p**2 - 15*p + 38. Let i be (-448)/147*6 - 2/(-7). Determine c(i).
-16
Let n(v) = -7*v**3 + 3*v**2 - 21*v - 5. Let p(c) = -3*c**3 + c**2 - 10*c - 2. Let u(s) = -4*n(s) + 9*p(s). Let y = -92 - -100. Let j be 2/(-4)*-1*y. Give u(j).
-6
Let s be 376/(-44) + (-8 - 658/(-77)) - 26. Let k(y) = y**3 + 34*y**2 + y + 15. Determine k(s).
-19
Let s(u) = 6 - 7*u + 5*u**2 + u**3 - u**2 - 11. Let a = -4 + -18. Let v = 17 + a. Determine s(v).
5
Suppose k - 16 - 1 = -2*d, -k - 23 = -2*d. Suppose 5*t - 5*h + 0 + 10 = 0, 0 = 2*t + 5*h - d. Let q(r) = r**3 + r**2 + r - 20. Determine q(t).
-20
Suppose 495 = -449*x + 548*x. Let w(s) = -3*s + 21. Let y(o) = -6*o + 41. Let u(v) = -11*w(v) + 6*y(v). Calculate u(x).
0
Let k(v) = 5*v**2 - v + 3. Let i(m) = -6*m**2 + m - 3. Let a(z) = -4*i(z) - 5*k(z). Suppose 95*l - 93*l = 28. Suppose h + 0*h = -l*h. Give a(h).
-3
Let o(l) be the first derivative of -9*l + 16*l**2 + 17 - 7*l**2 - l**2 - 7*l**2. Calculate o(-7).
-23
Suppose 52*p + 2*h = 53*p - 12, -5*p = 3*h - 8. Let l(c) = 3*c. Let j(x) = 7*x + 1. Let i(a) = 2*j(a) - 5*l(a). Give i(p).
-2
Suppose -i + 2*i = 2*u + 27, 3*u - 9 = 0. Let f(a) = -31*a - i*a + 13 + 62*a. Calculate f(10).
-7
Let i(h) = -h**2 + 15*h - 45. Suppose -2567 + 2431 = -17*b. What is i(b)?
11
Let q(b) = -2*b**2 - 5*b + 3. Let t(a) = -a**2 - 2*a - 1. Let i(p) = -4*p**2 - 11*p - 3. Let v(d) = i(d) - 5*t(d). Let x(g) = -q(g) + 2*v(g). Give x(-1).
2
Let x(t) be the third derivative of 19*t**4/24 - 13*t**3/3 + 3825*t**2 + 1. Give x(3).
31
Suppose 15*u - 80*u - 1920 = 55*u. Let d(c) = 4*c + 93. What is d(u)?
29
Let i(j) = -j**2 + 11. Suppose -11*t + 44 = -11. Suppose -3*y + 5*p = -15 - 5, t*p = -20. Determine i(y).
11
Let d(v) be the third derivative of -v**6/120 + v**5/60 + v**4/6 - v**3/2 - 8264*v**2. Let r = 12 + -8. What is d(r)?
-35
Let s(x) = 4*x**2. Let m be s(-1). Let y(j) = -m + 7 + 9*j - 5 - 2 - j**2. Suppose z = 14*z - 91. What is y(z)?
10
Let k = 1368 + -1363. Let j(m) = -m**2 + m + 3. Give j(k).
-17
Let f = -16208 - -16215. Let k(l) = -2*l**2 + 20*l - 57. Determine k(f).
-15
Let y = 2 - -1. Suppose 3*x - 5*g = 266, 0 - 8 = -4*g. Let h(w) = w - x + 34 + 28 + 28. Determine h(y).
1
Let h be ((-8)/5)/((-4)/10). Let y(r) = r + h - 3 - 3. Let j be 1 - (6/2 + -2). What is y(j)?
-2
Let n(d) = 9*d**3 - d**2 - d + 1. Let l(p) = p**2 + 24*p + 108. Let b be l(-6). Suppose 4*g = 5*f - 3*f + 2, b = 3*f - g - 2. Determine n(f).
8
Let w = -28 - -27. Let a(i) be the second derivative of -i**3/2 - 2200*i. Calculate a(w).
3
Let q(y) = -y - 12. Suppose -27*k - 75 = -42*k. Suppose -67 = 8*m + k. Give q(m).
-3
Let s(b) be the first derivative of b**3/3 + 13*b**2/2 - 6*b + 1200. Determine s(-13).
-6
Let m(k) be the second derivative of 7*k**3/6 + 305*k**2/2 - 10083*k. Calculate m(-45).
-10
Let u(b) = -b + 6. Suppose -11*i + 21*i = 50. Let x be ((-4)/(-6))/(48/72). Let g be (0/(i - x))/(-3). What is u(g)?
6
Let x = 1155576 + -1155571. Let y(n) = 0*n - 10 + 34 - 11*n + n**2. Calculate y(x).
-6
Let u be 386/8 + 330/440. Let b(d) be the first derivative of -u + 0*d - 2/3*d**3 - 1/2*d**2. Calculate b(2).
-10
Let z = 213 - 211. Let g(j) = -z + 8 + j**2 - 157*j + 153*j. Suppose -5*r = -0*r - 20. Determine g(r).
6
Let o(h) = h**2 + 8*h - 7. Let i = 10 + -27. Let y = 22 + i. Suppose y*w = -10 - 35. Calculate o(w).
2
Let t = -1707 + 1699. Let g(l) = -l**2 - 9*l - 8. Calculate g(t).
0
Let l be (-208)/130 - (2028/65)/(1*-2). Let y(b) = -2*b + 58. Calculate y(l).
30
Let p(s) = -3*s + 391. Let a be p(130). Let z(k) = -4*k - 1. What is z(a)?
-5
Suppose -333 = 3*p - c - 349, 2*p - c = 9. Let x(n) = n**2 - 5*n - 4. Calculate x(p).
10
Let l(p) be the second derivative of 5*p**3/6 + 3*p**2/2 - p. Let q = -4769 + 4767. Let n(b) = -6*b - 4. Let y(t) = q*n(t) - 3*l(t). What is y(2)?
-7
Let a(g) be the second derivative of -g**5/20 + 5*g**4/4 - 8*g**3/3 + g**2 + 785*g. Determine a(14).
-26
Let a(f) = 7*f**3 - f - 7. Let i(y) = 13*y**3 + y**2 - 3*y - 12. Let m(h) = -11*a(h) + 6*i(h). Let j(q) = 1 - q**2 - 7 - 11*q - 1. Let k be j(-11). Give m(k).
5
Let m(t) be the first derivative of 5*t**2/2 + 94*t - 622. Calculate m(-9).
49
Let s be ((-12)/(-18))/(3/9). Let m(c) be the second derivative of 5/6*c**3 + 0*c**s - 16*c + 0. Calculate m(-1).
-5
Suppose -155*g = -110 + 53 - 98. Let r(v) = -10*v**2 - 3*v. Determine r(g).
-13
Let z = 754 - 758. Let m(n) be the first derivative of -n**3/3 - 7*n**2/2 + 5*n + 2. What is m(z)?
17
Let z(g) be the first derivative of -1/2*g**2 - 5*g + 4. Determine z(-7).
2
Let q(d) be the first derivative of -1/4*d**4 + 9 + 7*d + 7/3*d**3 - 5/2*d**2. Give q(6).
13
Let f(x) = 6*x**3 - x. Let g = 479 - 910. Let m = 432 + g. Determine f(m).
5
Let j(b) = 2 + 6 - 2 + 3*b + b - b**2. Let r be j(5). Let n(f) = f - 16*f**3 + 3*f**2 - 2*f**2 + 4*f**2 - 1 - 7*f**2 + 3*f**2. What is n(r)?
-15
Let j(l) = -6*l + 41. Let f be ((-12)/(-5))/(336/840). Give j(f).
5
Let g(d) = 4*d**2 + 10 + 9973*d + 0 - 9969*d - 5*d**2. Calculate g(-5).
-35
Let c(x) = 71 + 4*x**3 - 4*x - 4*x**3 + 33*x**3 - 27*x**3 - 7*x**3. Determine c(0).
71
Let g(w) = -w**3 + 6*w**2 + 2*w - 6. Let x(m) = -2*m**3 - 24*m**2 - 37*m + 36. Let t be x(-10). Determine g(t).
6
Let j(q) = 97*q**3 - 72*q**2 - 77*q + 57. Let p(u) = -13*u**3 + 10*u**2 + 11*u - 8. Let i(d) = 2*j(d) + 15*p(d). Calculate i(8).
-46
Let s(f) = 7*f**2 + 26*f - 39. Let i(p) = 3*p**2 + 20*p - 1. Let h(q) = 2*i(q) - s(q). Determine h(12).
61
Let n(z) = 7*z. Suppose 37 = 5*q - 58. Let c = -3654 - -3657. Suppose 22*h - c = q*h. What is n(h)?
7
Suppose 0 = -3*w + 26 - 11. Let f be ((-20)/(-50))/(1/w). Let z(o) = 0*o**2 + 10*o**2 + 11*o**2 - o**f + 1. Calculate z(-1).
21
Let j = -56 - -58. Suppose 7*x = j*x. Suppose x = 16*l - 20*l - 24. Let h(s) = s - 1. Determine h(l).
-7
Let m(y) = 2*y + 1. Let g(h) = 48*h - 179. Let o be g(9). Let d = o + -251. Determine m(d).
5
Let l(y) be the third derivative of -y**4/12 + y**3/6 - 6*y**2 + 1. Let v(w) = -35*w**3 + w**2 - 3*w + 2. Let x be v(1). Let r = x + 39. Calculate l(r).
-7
Let u(f) = -2*f + 1. Let d be u(-1). Let s(x) be the second derivative of 0 + 1/12*x**4 + 3/2*x**2 - x**3 + 575*x. What is s(d)?
-6
Let i(n) = -n**2 + 18*n + 44. Suppose 0 = 2362*q - 2347*q - 270. Calculate i(q).
44
Suppose -6 = 3*x - 51. Let y(g) be the second derivative of -g**3/6 + 7*g**2 - 9346*g. Calculate y(x).
-1
Let n(b) = 835*b**2 - 4*b. Let t be n(1). Let p = -834 + t. Let k(x) = x**2 - 5*x - 10. Calculate k(p).
14
Let j(a) be the third derivative of a**7/1260 - a**6/240 - a**5/60 + 11*a**3/2 - 8*a**2 + 1. Let u(c) be the third derivative of j(c). Determine u(6).
21
Let g = -56 + 53 | {
"pile_set_name": "DM Mathematics"
} |
What is the least common multiple of a(k) and v?
20
Calculate the smallest common multiple of (24/16)/(3/18) and 21.
63
Let n = -321 + 451. Find the common denominator of 68/3 and (n/(-8))/5 + -2.
12
Find the common denominator of ((-119)/(-28) - -2)/((-2)/1) and -31/6.
24
Let x = 203/61 + -8923/610. Calculate the common denominator of x and -9/2.
10
Let y = -135013/20 + 40947/5. Let s = y - 1423. Calculate the common denominator of 7/3 and s.
12
Calculate the least common multiple of 0 + 9*32/12 and 12.
24
Let q be (-35)/4 - 3/(-4). Let l = 12 + q. What is the smallest common multiple of l and 10?
20
Let z = -40 - -45. What is the lowest common multiple of 3 and z?
15
Let z = -7291/208 - -450/13. Find the common denominator of z and 109/48.
48
Let g = 1027/3 - 357. Let i = g + 33. Find the common denominator of i and 2/((-12)/(-61)) + -1.
6
Calculate the common denominator of -145/12 and (-1 + 12/9)/(8/3).
24
What is the common denominator of 12/20*(-90)/(-186) and 41/5?
155
Let t(h) = -h**2 - 8*h - 9. What is the smallest common multiple of 16 and t(-5)?
48
Calculate the common denominator of (-36)/9*(-7)/40 and -8/11.
110
Let b = -2011/852 + -4/71. Calculate the common denominator of b and 61/14.
84
Let f be (-582)/4 + (2 - 1). Let h = -437/3 - f. Calculate the common denominator of h and (5 - 2) + 39/(-208).
48
What is the lowest common multiple of 602/15 + (-8)/60 and 16?
80
Let x(s) = 2*s**2 - 2*s - 2. Calculate the lowest common multiple of 16 and x(-1).
16
Suppose 38 = 6*r - 4. Calculate the least common multiple of r and 5.
35
Let a = 26 + -56. Let q = -16 - a. Let n(l) = l**2 - 10*l - 4. Calculate the smallest common multiple of n(12) and q.
140
Let h = -2/723 + 7475/1446. Find the common denominator of (-81)/(-126)*37/3 and h.
42
Let w = 36 + -60. Let u be 10/(-25) - w/10. What is the lowest common multiple of 4 and -1*(u + 0)/(-1)?
4
Let d(y) = y - 5. Let l be -1 + (-2)/(-2) - 0. Let b be d(l). What is the common denominator of (-2)/b - (-181)/10 and 85/18?
18
Let d be 4/10*6*10. Let z be 18/(-1 + 2/6). What is the common denominator of -37 and 2*(z/d - 3)?
4
Let u = 167/30 + -29/30. What is the common denominator of 151/6 and u?
30
Suppose 5*g = -5 + 20. Suppose -u = g*u - 8. Calculate the smallest common multiple of u and 8.
8
Let r = -2/1985 + -16672/1985. Calculate the common denominator of -101/6 and r.
30
Let a be 0 + -2 + (-68)/(-55). Let x = -4571/440 - a. Let s = -8221/5 - -1651. Calculate the common denominator of x and s.
40
Let a = -101856/13 - -7839. Find the common denominator of (-651)/(-60) - (-8)/20 and a.
52
Suppose 5*b + 4*z = 32, -b + 6*z - 2*z + 16 = 0. Suppose -5*h = -2*d + 6, -6 = -2*d + h + b. What is the smallest common multiple of 3 and d?
24
Suppose 2*j + 1 = 3. Find the common denominator of 1/j*275/88 and -34/7.
56
Let q(i) = i**2 + 18*i - 28. Let u be (-3 + 5)*(-6)/(-4). Suppose -d = u*d - 32. What is the lowest common multiple of d and q(-20)?
24
Calculate the least common multiple of 10 and (-8)/(-14) + (-72)/(-21).
20
Let v = 319/42 + -192/7. Find the common denominator of 0 + (-2)/(-22)*-31 and v.
66
Let q = -525/8 - -953/16. Let t = -17377/4070 + -9/185. Find the common denominator of t and q.
176
Let u be (-435946)/(-40) + (-4 - -5). Let m = -10902 + u. What is the common denominator of 19/20 and m?
20
Suppose 2*m - 12 = -3*p, 3*p + 5*m - 12 = -0*m. Let g(t) = 2*t**2 - 7*t + 6. What is the least common multiple of g(p) and 2?
10
Let q = -3 - -3. Let s(z) = 2 - 7 + 10*z + q*z**2 - z**2. What is the least common multiple of s(5) and 2?
20
Find the common denominator of (2/16)/((-147)/6132) and -51/8.
56
Let l = 110137/180 + -5474/9. Let i = -3/14 + 325/112. Find the common denominator of i and l.
80
Let x(l) = 3*l**2 + 2*l + 2. What is the lowest common multiple of x(-1) and 33?
33
Suppose 2*m + 20 = -3*v - 0*m, -5*m = -25. Find the common denominator of v and 57/7.
7
Find the common denominator of (-1685)/(-200) - (-2)/10 and 97/4.
8
Suppose -n = 4*q - 11, -4*q - 5*n - 2 = -3*q. Let f = q + -13. Calculate the smallest common multiple of 2 and 4/f - 96/(-15).
6
Suppose -3*z = -5*z + 18. Calculate the smallest common multiple of z and 7.
63
Let x be 7/(-42) + 710/12. Suppose 5*f - 36 - x = 0. Find the common denominator of 95/8 and f.
8
Let l(s) = -s**3 - 4*s**2 - 7*s - 6. Let j be l(-4). Let y = -2 + j. Calculate the common denominator of (207/(-10))/((-48)/y) and 61/10.
40
Let n = 5017 - 40055/8. Calculate the common denominator of -59/8 and n.
8
Let t = 40 - 38. Calculate the smallest common multiple of t and 11.
22
Let t(u) = u**3 - u + 1. Let m(x) = -17*x**3 + 8*x + 10*x**3 + 0 + 8*x**2 - 10. Let d(y) = m(y) + 6*t(y). Calculate the least common multiple of d(8) and 22.
132
Let c = -7/34 + -593/51. What is the common denominator of c and (-222)/(-16) - (-6)/(-2)?
24
Let q = -543911/88 - -6181. Let b = -1785 - -39277/22. Let r = b - q. What is the common denominator of 111/14 and r?
56
Let x = 3568 - 24925/7. What is the common denominator of x and (-1942)/84 - (-2)/7?
42
Suppose -3*z + 2*z + 3402 = 0. Let p = -33983/10 + z. What is the common denominator of p and 89/8?
40
Let b = 158191/16 + -9883. Find the common denominator of b and 95/14.
112
Let u be 10/(-4)*(-1 - -3). Let t = -1 - u. What is the smallest common multiple of t and 12?
12
What is the common denominator of 252/(-35) + -2*2 and 3/5?
5
What is the common denominator of 30/(-50)*(-225)/(-12) and 97/32?
32
Let c = -110711/47988 + 2/1333. Calculate the common denominator of c and -11/10.
180
Let p = -18341/20 + 3699/4. Calculate the common denominator of 0/1 + 194/12 and p.
30
Suppose 17*i + 18 = 20*i. What is the smallest common multiple of 4 and i?
12
Let f(k) = -k**2 + 9*k + 6. Suppose -29 = -q + 5*s, -26 = -q + 3*s + s. What is the least common multiple of f(9) and q?
42
Suppose 9*r - 8 = 7*r. Calculate the smallest common multiple of r and 9.
36
Let y(a) = -a**3 + 2*a + 3. Let d be y(3). Let f = d + 26. Calculate the lowest common multiple of 18 and f.
72
Let j be (0 - 0) + (-6)/14. Let g = 243/28 + j. Calculate the common denominator of g and 45/22.
44
Let i(l) be the second derivative of l**3/6 + 13*l**2/2 + 3*l. Let b be i(9). Find the common denominator of -3 + -2 + 106/b and 13/11.
11
Let v be 1/((-3)/3) + 9. Suppose 0 = g - 4 - v. Suppose 3*k = g, -3*o = 4*k - 17 - 11. What is the smallest common multiple of o and 2?
4
Let i be (9*2)/(-3)*-1. What is the common denominator of 5/14 and (-6)/(-3) - (-225)/i?
14
What is the common denominator of -23/4 and (41/(-4))/(18/24)?
12
Let o = 83986 + -246295/3. Let p = o + -1872. What is the common denominator of (-366)/(-30) + (-2)/(-5) and p?
15
Let q = 27031/16 + -1691. Calculate the common denominator of q and -69/22.
176
Let y(o) = 19*o**3 + o. Let t be y(-1). Let c be ((-3)/t)/(6/82948). Let z = -2079 + c. Find the common denominator of -67/10 and z.
10
Let w = -7 - -5. What is the common denominator of -6 - (w - (-2 - 2)) and 12?
1
Let o = -26/31 - -1619/341. Find the common denominator of o and -103/42.
462
Suppose 5*y - 3 = 47. Calculate the lowest common multiple of y and 11.
110
Let m = -3 + 3. Suppose -4*c + 1 = -5*r, -3*r = -9 - m. Calculate the smallest common multiple of 7 and c.
28
What is the common denominator of -1 - (-4)/16*89 and 15/7?
28
Suppose k = 2*v - 43, -v + 2*k + 26 = 6*k. What is the least common multiple of v and 10?
110
Let d = -12 - -18. Let w(q) = q**3 - 2*q**2 + q - 4. Let t be w(d). Find the common denominator of -107/18 and (-4)/(-16) + t/12.
36
Let y = 34 + -20. Suppose 2*m = x + 18, m + x + 0*x = 12. Suppose -7*b - 36 = -m*b. Calculate the lowest common multiple of b and y.
84
Let k = -68 - -73. What is the lowest common multiple of k and 9?
45
Suppose 0*r + 5*r = 80. Calculate the least common multiple of 2 and r.
16
Let k(s) = -s**3 - 4*s**2 - s. Let a be k(-3). What is the common denominator of 19/16 and (3/(-12))/(a/(-452))?
48
Let h = 39570/11 - 3600. Let g = 1641/25 - 41017/50. Let o = -754 - g. Find the common denominator of o and h.
110
Suppose 2*y = 4, 0 = -2*u - y - 3*y - 14. What is the common denominator of 1 - u/(-18)*11 and (292/(-28))/(30/(-21))?
90
Suppose -2*a = -0*a - 94. Let l be a + (-3 - 3) + 3. What is the common den | {
"pile_set_name": "DM Mathematics"
} |
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