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stringlengths 270
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e hundreds digit of p?
8
Let x(a) be the first derivative of 7*a**4/4 - 2*a**3/3 - 2*a - 1. What is the tens digit of x(2)?
4
Suppose -5558 = 9*f - 23*f. What is the hundreds digit of f?
3
Let u = -1008 + 2360. What is the hundreds digit of u?
3
Let a = 234 - 138. Suppose -240 = -2*f - a. What is the tens digit of f?
7
What is the tens digit of (-22)/(6/(-249)*(-2 - -3))?
1
Let m(z) be the third derivative of 2*z**5/15 - z**3/6 + 8*z**2. What is the units digit of m(-1)?
7
Let f = 985 - 535. Suppose 0 = -11*z + 6*z + f. Suppose m - z = -4*m. What is the units digit of m?
8
Let q(n) = -n**3 + 15*n**2 + 14*n + 35. Let p be q(16). Suppose p*y - 5*m - 376 = 0, 15 = -5*m + 35. What is the hundreds digit of y?
1
Let o(i) = 2*i**2 + 14*i + 17. Let v be o(-9). Suppose -3*m - v + 227 = 0. What is the tens digit of m?
5
Let z be ((-3)/(-6))/(2/12). Suppose -80 - 85 = -z*w. Suppose w + 41 = 4*k. What is the units digit of k?
4
Let w = 519 + 251. What is the tens digit of w?
7
What is the tens digit of (-12)/(-10)*5970/9?
9
Let y = -46 - -85. Suppose y - 401 = -2*w. What is the tens digit of w?
8
Let g = 9751 + -5338. What is the units digit of g?
3
What is the tens digit of -4 - (-2)/4*1468?
3
Suppose c = 4*g + 13, 0 = -2*g + 4*c - 9*c + 21. What is the tens digit of (6/(-9)*1)/(g/333)?
1
Let f be 6/(1/2*3). Suppose 0 = g - f. Suppose -2*y + 1 = g*c - 9, -5*c = 2*y - 8. What is the units digit of y?
9
Suppose -g = -5*w - 8, -4*g - 4*w = -7*g + 13. Suppose g*m = 4*m + 4. Let q(a) = -9*a - 9. What is the tens digit of q(m)?
2
Let x = -115 + 123. What is the tens digit of 1234/x - (-19)/(-76)?
5
Suppose -6132 = -12*x - 2*x. What is the units digit of x?
8
Let w = 34 + 102. What is the units digit of w?
6
Suppose -2*g = -c - 0 + 2, -3*g = 0. Suppose -6*d + 63 = -111. Let f = c + d. What is the tens digit of f?
3
What is the tens digit of (-14 + 2 - -7) + -2 + 24?
1
Suppose 0 = 10*w - 65 + 25. What is the tens digit of (-94)/(2 - (-4 + 4 + w))?
4
Suppose 81*u - 87*u + 25032 = 0. What is the tens digit of u?
7
Let b be ((-321)/4)/((-30)/80). Suppose 66 = 5*z - b. What is the units digit of z?
6
Suppose 1174 = 3*s + 331. What is the tens digit of s?
8
Let i = -99 - -104. Suppose 709 = i*j - 541. What is the tens digit of j?
5
Let b(r) = -282*r - 76. What is the thousands digit of b(-4)?
1
Let b = -23 - -25. Let o = b + 35. What is the tens digit of o?
3
Let g be (-6)/(-4)*50/(-15). Let a be -5 + 2 - (-2 + g). Suppose -104 = -3*s + s + 2*d, 4 = -a*d. What is the units digit of s?
1
Let t(s) = 37*s**2 + 57*s + 19. What is the hundreds digit of t(11)?
1
What is the hundreds digit of 1*(-313)/3*-3?
3
Suppose -15*w = 42*w - 111777. What is the units digit of w?
1
Suppose -2*s - 2*m = -344, -5*s = 2*m - 122 - 729. What is the units digit of s?
9
Let g(m) = -m**2 - 8*m - 4. Let q be g(-8). Let k(c) = 10*c**2 - 13*c - 34. What is the units digit of k(q)?
8
Let d = 22 - 15. Suppose -d = -2*n - 2*m + 3, 0 = -3*n - m + 17. What is the units digit of n?
6
Suppose -5*k - 72 = -9*k. Let c = 37 - k. What is the tens digit of c?
1
What is the tens digit of 193 + -12 + 2/1?
8
Let t(m) = 1049*m + 474. What is the thousands digit of t(2)?
2
Let r(k) be the second derivative of 17/12*k**4 + 0 + 0*k**2 - 12*k + 1/6*k**3. What is the units digit of r(1)?
8
Let l(u) = 2*u + 9. Let r be l(-3). What is the units digit of 4/(r - 47/16)?
4
Suppose -4*o + 0 = -4, 3*o = r - 490. What is the units digit of r?
3
Let w(q) = -6*q + 6. Let d be w(-4). Suppose 2*r + 5*i = 29 + 6, i - d = -5*r. Suppose -3*j - 3*u - 40 = -5*j, -5*u = r*j - 100. What is the tens digit of j?
2
Let l(j) be the first derivative of j**5/30 - j**4/24 - 4*j**3/3 + 4. Let f(a) be the third derivative of l(a). What is the units digit of f(5)?
9
Let p be (-39 - 1)/4 + -4. What is the units digit of -2*p*35/20?
9
Suppose -1648*i + 1657*i - 13545 = 0. What is the units digit of i?
5
Suppose 3*f = 0, -4*r + 9*r - 3*f + 15 = 0. Let z = r + 52. What is the units digit of z?
9
Let p(m) = -23*m**3 + m**2 - 4*m - 4. Let t be p(-2). Let n be t/18*(-6)/(-4). Suppose 11*l = n*l - 15. What is the units digit of l?
3
Let s(v) be the second derivative of -8*v**3/3 - 9*v**2/2 + 3*v. What is the units digit of s(-14)?
5
Let d = 243 - 67. What is the units digit of d?
6
Let m = -1102 + 2498. What is the thousands digit of m?
1
Suppose 4*m = -32 - 32. What is the tens digit of (m - -20) + (-86)/(-1)?
9
Let r(v) = 13*v**2 - 30*v - 3. What is the tens digit of r(7)?
2
Let u(p) = 2*p + 6. Let h be u(-5). What is the units digit of -2 - (4 + -5) - h?
3
Suppose 4*f = -5*x - 23, 32 = -5*f - 2*x - x. Let w(p) = -p**2 + 5*p + 1. Let z be w(5). Let y = z - f. What is the units digit of y?
8
Suppose -249 = 3*f - 2*r, -3*f + 3*r - 249 = -0*r. Suppose -615 = -0*b - 5*b. Let s = b + f. What is the units digit of s?
0
Let q = -363 - -1161. What is the hundreds digit of q?
7
Let u = 18 - 12. Let l be (-4 - u/(-2))*5. What is the units digit of (-34)/(l/(5/2))?
7
What is the units digit of (-1)/(-3)*(-8892)/(-57)?
2
Suppose 0 = -4*r - 4, -3*d - 4*r = -d - 1400. What is the units digit of d?
2
Suppose 4*y + 187 + 300 = -j, -124 = y - 2*j. What is the tens digit of 3 + -1 + ((-12)/3 - y)?
2
Let o be 4/((-9)/(36/(-8))). Suppose y - 122 = -o*p - 7, 0 = -5*p - y + 286. What is the units digit of p?
7
Let w(v) = v**3 + 6*v**2 - 3*v + 5. Let h be w(-6). Let x = 20 - h. What is the units digit of -68*((-15)/(-6) + x)?
4
Suppose 0 = 5*b - 9 - 1. What is the units digit of 41/(b - 2/2)?
1
Let c be 12 + -68 - (1 + 0). Let u be (264/10)/(3/(-10)). Let g = c - u. What is the tens digit of g?
3
Let b(d) = -2*d**2 - 1. Let s be b(-1). Suppose 2*w - 5*l - 17 = 0, 0 = -4*w - 4*l - 5 - 3. What is the units digit of (w + s)/(-2) - -15?
6
Let s(g) = 2*g**3 - 7*g**3 - 2*g**2 + 1 + 4*g**3 + 7*g + 4. What is the units digit of s(-4)?
9
Suppose 3*t = -4 + 13. Let v = 0 - 1. What is the units digit of v + 1/(t/12)?
3
Let r be (-6)/(-4)*(-20)/(-3). Suppose -4*x + 2*x = -r. Suppose 0 = -5*i + 4*q + 101 + 149, -x*q = 25. What is the units digit of i?
6
Let h(d) = -16*d + 65. Let i(s) = -3*s + 13. Let q(p) = -2*h(p) + 11*i(p). What is the units digit of q(10)?
3
Let v = -136 - -280. Suppose -v = -5*t + t. What is the units digit of t?
6
Let o(x) be the second derivative of x**5/20 - 13*x**4/12 - 7*x**3/3 + x**2 - 6*x. Let h be o(14). Let z = h + 10. What is the units digit of z?
2
Let u = -20 - -22. Suppose 2*b = -u*b + 80. What is the units digit of b?
0
Suppose 0 = -6*p + 85174 + 22742. What is the hundreds digit of (-1)/4 - p/(-136)?
1
Suppose 0 = m - 236 + 5. What is the tens digit of m?
3
Let w be 2 + -1 - (-4)/4. Suppose -t + w = 0, 0*x + 4*t - 17 = -3*x. What is the units digit of 19 - ((x - 4) + 0)?
0
Let n(d) = -2*d**2 + 6*d + 784. What is the tens digit of n(0)?
8
Let f = 1454 - 926. What is the hundreds digit of f?
5
Let t(v) = -820 + 412 + 11*v**3 + 3*v**2 + 409 - 3*v. Suppose 3*p + 9 = 0, 3*d - d - 4*p - 14 = 0. What is the tens digit of t(d)?
1
Let l(i) = 10*i - 1. Let z be l(1). Let y = z - -8. What is the units digit of y?
7
Let l = -1227 - -3309. What is the thousands digit of l?
2
Suppose 463 = l + 3*r, -2*l + 7*l - 2295 = -5*r. What is the tens digit of l?
5
Let y be 0 + (29 - -3) - -3. Suppose 2*s = -3*n + 2*n + y, -4 = s. What is the units digit of n?
3
Let z(d) = -29*d + 3. Let m be z(-4). Let a be (-34)/m - 360/14. Let i = a + 51. What is the units digit of i?
5
Let z(f) = -f + 4. Let j be z(4). Suppose 2*k = 3 + 13. Suppose v + v - k = j. What is the units digit of v?
4
Let n(w) = w**2 + 1. Let p(r) = -11*r**2 - 7. Let i(z) = -4*n(z) - p(z). What is the units digit of i(2)?
1
Suppose 4*k + 2*d = 168, 2*d = -4*k - 2*d + 172. Suppose 20 = -5*n + 2*j + 189, n - k = -2*j. What is the tens digit of n?
3
Suppose -593 = -h - 5*t - 103, -966 = -2*h + 4*t. What is the hundreds digit of h?
4
Let k = 3 + 3. Suppose 9*o = k*o + 9. Suppose -o*q + 15 = 2*q. What is the units digit of q?
3
Suppose -r + 2783 = 3*d, -3*d + 2 - 17 = 0. What is the hundreds digit of r?
7
Let q(t) = -3*t + 8. Let g be q(4). Let d(p) = 3*p**2 + 4*p + 5. Let x be d(g). Suppose r + 48 = f, -4*f + x = r - 140. What is the units digit of f?
5
Let o = 722 + -322. What is the hundreds digit of o?
4
L
|
{
"pile_set_name": "DM Mathematics"
}
|
6568670?
6568669
What is next in 227659, 455275, 682879, 910465, 1138027, 1365559, 1593055?
1820509
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-1888216
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349736
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834308
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-692810907
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19526
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-8955
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18646992
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-2440833
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-1521085
What is the next term in 1968, 1777, 1260, 255, -1400?
-3867
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26220
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855959
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-4300677
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-35272
What is next in 2087835, 4175668, 6263491, 8351298, 10439083, 12526840, 14614563, 16702246?
18789883
What is the next term in -68617, -72230, -75843?
-79456
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-6541560
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-8349779
What is the next term in -828, -3061, -6634, -11547?
-17800
What is next in 2000302, 2000308, 2000312, 2000314?
2000314
What comes next: 207101, 206784, 206457, 206114, 205749?
205356
What is next in 1114, 2223, 3356, 4519, 5718, 6959, 8248, 9591?
10994
What is the next term in 3819, 1488, -857, -3222, -5613?
-8036
What is the next term in 5817, 7697, 10827, 15207?
20837
What comes next: -30201, -48106, -66011, -83916, -101821?
-119726
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-1322122
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6024900
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8582312
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-69996
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70689523
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1169564198
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59961
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3440262
What is the next term in 36077, 34752, 32543, 29450, 25473, 20612?
14867
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-31349
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143506
What is the next term in 167, 189, 205, 215?
219
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17360
What is the next term in -12844, -41602, -89514, -156568, -242752?
-348054
What is next in 3977, 8177, 12723, 17789, 23549?
30177
What comes next: 23942, 25612, 27284, 28958?
30634
What is next in -1488622, -1488548, -1488424, -1488250, -1488026?
-1487752
What comes next: -5537311, -5537293, -5537255, -5537191, -5537095, -5536961, -5536783, -5536555?
-5536271
What is the next term in 20424763, 40849530, 61274295, 81699058, 102123819?
122548578
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345950
What is the next term in -837728, -837617, -837516, -837431, -837368, -837333?
-837332
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3343691
What is the next term in -374774, -749700, -1124628, -1499558, -1874490, -2249424?
-2624360
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-1233
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-3623146
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133490760
What comes next: -4793577, -9587164, -14380759, -19174362, -23967973, -28761592, -33555219?
-38348854
What is the next term in -21336, -42515, -63694?
-84873
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30607
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2160901
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61454
What is next in -2302, -8781, -15260, -21739, -28218?
-34697
What is the next term in 729440, 1458995, 2188564, 2918153, 3647768, 4377415?
5107100
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5917
What comes next: -15135, -37412, -59689, -81966, -104243?
-126520
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-6299611
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-899406
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-127226557
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-146952
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-98855155
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-174815
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73033
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34574
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8686021
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10642955
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-53348
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-751098
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-32074
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-31280
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8782
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41326391
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21916
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-11398
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1334806
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31501
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-30590
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-5848909
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2613
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-9379
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340387
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-5444
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-403875
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-157422
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20685
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-29869063
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76681
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-252233
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-7503219
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562073
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-20226
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-478415
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-977
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-33009
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-4033
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-499955
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339609
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-1061399
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-32084
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-15172397
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-19701
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15247
What is next in -981
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the highest common factor of 40 and a?
5
Let n be 1573/9 + (-26)/(-117). What is the greatest common factor of 50 and n?
25
Suppose -19*v + 365 = -319. Calculate the greatest common divisor of 9 and v.
9
Let s be 2184/154 + 3/(33/(-2)). Suppose 3*u + 3*a = 5*a + 28, 2*u - s = -a. What is the greatest common factor of 24 and u?
8
Let g = -32 - -36. Suppose f + 4 - 3 = 0, -5*f = g*q - 7. Calculate the highest common factor of 1 and q.
1
Let y(t) = t**3 - 18*t**2 - 124*t + 2408. Let m be y(17). Let i = 81 + -26. What is the greatest common divisor of m and i?
11
Let o(n) be the first derivative of 5*n**2 - 8*n + 38. Let w be o(5). What is the highest common divisor of w and 126?
42
Suppose -5*c + 96 = 11. Let i = 24 - -67. Suppose h - 45 = i. Calculate the highest common factor of c and h.
17
Suppose 17*z + 551 = 18*z. What is the highest common divisor of z and 19?
19
Let f(q) = q**2 + q + 66. Let o be f(0). Let g = 98 - o. What is the highest common divisor of 8 and g?
8
Let j = -34 - -43. Suppose 5*h - 10 + 2 = 2*x, -j = -3*x - 3*h. Calculate the greatest common factor of 1 and x.
1
Suppose -937*m = -936*m - 2783. Calculate the greatest common factor of 23 and m.
23
Let a(h) = h**3 + 5*h**2 - 3*h + 5. Let v be a(-6). Let f(z) = -z + 5. Let x be f(v). Let t = 25 + -7. What is the greatest common divisor of x and t?
18
Let p(v) = -5*v + 1. Let d be p(-1). Let z be (1 - (-1 - -1)) + d. Suppose -5*h = -z*h + 16. What is the greatest common factor of 2 and h?
2
Let c = 799 - 719. Calculate the greatest common divisor of c and 500.
20
Suppose 0 = -6*q + 11 - 95. Let g = 244 + q. What is the highest common factor of g and 92?
46
Let g be ((-3432)/(-56))/(-11)*-7. What is the highest common divisor of g and 403?
13
Let m = 5115 - 1374. What is the greatest common factor of 129 and m?
129
Suppose 4*g - 10 = -3*k, -4*g = 2*k + 3 - 7. Suppose -12 - k = -2*q. Calculate the greatest common divisor of 18 and q.
9
Let k be 5 - (-2)/((-4)/10). Suppose -15*d + 26*d - 44 = k. Let q(s) = 28*s**2. Let l be q(1). Calculate the highest common factor of l and d.
4
Let j = 300 - 234. What is the greatest common divisor of j and 528?
66
Let n be -2 - (4 + 9/6*-14). What is the highest common divisor of 1125 and n?
15
Let v be ((-54)/(-135))/(4/190). Suppose -5*g + 43 + 107 = 0. Let t = g + 8. Calculate the highest common divisor of v and t.
19
Suppose -2*y + 8 = -2. Suppose 0 = y*j - 137 - 78. Suppose j*k + 15 = 44*k. What is the highest common factor of 10 and k?
5
Let q(o) = -9*o - 5 + 28*o - 5*o**2 - 15*o + o**3 - 2*o**2. Let c be q(7). What is the greatest common factor of c and 115?
23
Let r(z) = -z**3 + 15*z**2 + 3*z - 9. Let k be r(-5). Calculate the greatest common factor of 204 and k.
68
Suppose b + v = 5*b - 14, 5*v = 5*b - 25. Calculate the greatest common factor of b and 4.
1
Let o(a) = 13*a + 159. Let j be o(-11). Suppose -96 = 2*g - 3*g. What is the greatest common factor of g and j?
16
Suppose -2*s - 3*p + 11 = 0, 4*s + 3*p = 4*p + 43. Let x = -263 - -393. What is the greatest common factor of x and s?
10
Let i(x) be the first derivative of -x**3/3 - 5*x**2/2 + 14*x - 7. Let l be i(-6). What is the highest common factor of 1 and l?
1
Let q(i) = -i**3 + 108. Let r be q(0). Suppose 0*c - 2*c = -116. Suppose -4 = j - 2, 2*j + c = 3*a. What is the highest common factor of r and a?
18
Let o(m) = 21*m - 15. Let h be o(2). What is the highest common divisor of h and 72?
9
Let h(f) = -f**2 + 13*f - 32. Let s be h(6). What is the highest common divisor of s and 1570?
10
Let o(h) = -h**3 + 7*h**2 - 9*h + 10. Let m be o(3). What is the greatest common divisor of m and 1501?
19
Suppose -57604 = -119*y + 131130. What is the highest common factor of y and 61?
61
Let j be 3/((-9)/2)*-3. Suppose 0 = 4*c - 3*u - 151, j*c + 4*u = u + 53. What is the greatest common factor of 374 and c?
34
Suppose 0 = -z - 11. Let j(g) = g - 8. Let q be j(z). Let x be (q/(-2))/(6/12). Calculate the highest common divisor of 171 and x.
19
Let n(h) = -3*h**3 - 85*h**2 + 22*h - 69. Let k be n(-29). What is the highest common divisor of k and 150?
75
Let t = -4 - -1. Let k = t - -155. Suppose 0*a - 2*a + 38 = 0. Calculate the greatest common factor of a and k.
19
Let b(x) = -x**3 + 2*x**2 - 2*x - 52. Let r be b(0). Let j = r + 65. Let u be (3 - 0)*4 - -1. Calculate the highest common factor of j and u.
13
Suppose -6*w = -w + 5*c - 755, -785 = -5*w + c. Calculate the highest common factor of w and 234.
78
Let l = 51 - 56. Let a(s) = -10*s + 30. Let b be a(l). Calculate the highest common factor of b and 32.
16
Let l(p) = 3*p - 12. Let a be l(5). Suppose 2*c - 40 = -3*f, 68 = 7*f - 2*f + a*c. Let m = -31 - -71. What is the greatest common factor of m and f?
8
Suppose 83*s - 8 = 84*s. Let x(f) = f**2 + 5*f - 12. Let h be x(s). Calculate the highest common divisor of h and 60.
12
Let l = 46 - 24. Let c(x) = -x**2 + 22*x + 22. Let u be c(l). What is the highest common factor of u and 22?
22
Let k = -26 - -28. Let h be -1*1*k/((-10)/115). What is the greatest common factor of h and 23?
23
Suppose -5 = -m, 3*r = -2*r + 2*m + 65. Let p = -12 + r. Let g be 12/8*6*3. What is the highest common divisor of p and g?
3
Suppose 9*n - 11*n + 416 = 0. Suppose -b = -3*p - 14, -2*p + 4*p + 122 = 5*b. What is the highest common factor of n and b?
26
Suppose 0 = -10*s + 3*s + 175. Suppose q + 1370 = 5*v, q = v + 6*q - 300. Calculate the greatest common divisor of s and v.
25
Suppose -j - 9 = -2*x - 2*x, 5*x = -5*j - 20. What is the greatest common divisor of 9 and x?
1
Let j = 268 - 135. Suppose q - j = -23. What is the highest common factor of q and 10?
10
Let g be -2 - (20 + 0/(-2)). Let j = g + 42. Suppose -2*w + 4*w - j = -3*i, -5*w + 41 = 3*i. What is the greatest common divisor of 21 and w?
7
Let p be 112/12*(-108)/(-63). Calculate the highest common divisor of p and 232.
8
Suppose -2*o + 3*w = -999, -o - 5*w = -149 - 318. Calculate the greatest common divisor of 12 and o.
12
Let r = 51 + 159. Calculate the greatest common divisor of r and 30.
30
Let a = -41 + 43. Let n be 9/(-5) + a + (-278)/(-10). What is the greatest common divisor of 42 and n?
14
Suppose -27 = 23*w - 20*w. Let h(d) = -d**3 - 9*d**2 + d + 18. Let n be h(w). What is the highest common factor of 117 and n?
9
Suppose 7*x = 257 + 93. Calculate the greatest common factor of x and 50.
50
Let v = 65 - -55. Suppose -5*o - 10 = h, -4*o - 23 = 5*h + 6. Let y be 2/h - 366/(-15). What is the highest common factor of v and y?
24
Let f = 56 + -47. Suppose r - 1 = 8. Calculate the highest common divisor of r and f.
9
Let j = -661 - -789. What is the highest common factor of 8 and j?
8
Suppose 0 = 3*i + 5*m - 245, -m = m + 4. What is the highest common factor of i and 68?
17
Suppose 11*k - 208 = -43. Calculate the greatest common divisor of k and 30.
15
Suppose 0*b = 4*b + 3*l - 20, -12 = -b + l. What is the greatest common factor of 140 and b?
4
Let m(d) = -4*d + 28. Let u be m(-18). Suppose 4*j - 11 = 69. Calculate the highest common factor of j and u.
20
Let t = -2 + 6. Suppose 6*f - t*f = 0. Suppose -2*x = -f*x - r - 121, r = -1. What is the highest common factor of x and 10?
10
Suppose 0 = 3*t - 37 - 17. Let w be (-20)/(-3)*t/12. Suppose -v + w = -14. What is the greatest common divisor of v and 120?
24
Suppose 0 = 14*b - 16*b - 2*u + 12, 0 = -4*b - 3*u + 28. Suppose 2*d + 4*a = 3*d - 18, -3*d + 9 = 3*a. What is the greatest common divisor of d and b?
2
Let o be (-102)/(-4) + 41/82. Suppose 0 = 3*v + 9, 2*v = -c + 5 + 15. What is the highest common factor of c and o?
26
Let l(m) = -22*m - 20. Let w be l(-5). Calculate the highest common factor of 225 and w.
45
Suppose 4*b - 6 = 2. Let r(w) = -4*w**3 + 0*w**b + 3*w**3 - 5*w**2 - w + 5. Let t be r(-7). What is the greatest common divisor of 10 and t?
10
Suppose 14 = -17*j + 15*j. Let m be (-73)/j + (-9)/21. What is the greatest common divisor of m and 10?
10
Let j be ((-168)/(-35))/(6/(-200)). Let v = 256 + j. What is the highest common factor of 64 and v?
32
Let f(j) be the first derivative of -j**4/4 + 3*j**3 - 2*j**2 - 8*j + 3. Let q be f(8). Suppose 0*x - q = -2*x. What is the highest common factor of 72 and x?
12
Suppose -2 = -b + 7. Calculate the highest common factor of 225 and b
|
{
"pile_set_name": "DM Mathematics"
}
|
f 36654 and 18.
6
What is the highest common factor of 17404 and 73720?
76
What is the greatest common divisor of 9632 and 52864?
224
Calculate the greatest common divisor of 7642068 and 84.
84
What is the highest common factor of 1703 and 39?
13
Calculate the highest common divisor of 385 and 19705.
35
What is the greatest common factor of 9372 and 40128?
132
What is the greatest common divisor of 876 and 824900?
292
Calculate the highest common factor of 3875 and 961.
31
What is the highest common divisor of 208 and 22000?
16
What is the greatest common divisor of 1078 and 1188?
22
What is the greatest common divisor of 168 and 79752?
24
Calculate the greatest common divisor of 276457 and 58.
29
Calculate the highest common divisor of 200 and 17950.
50
Calculate the greatest common factor of 62579 and 44.
11
Calculate the greatest common divisor of 543453 and 28781.
1693
What is the highest common divisor of 4520 and 3616?
904
Calculate the highest common divisor of 1597115 and 130.
65
What is the highest common divisor of 84 and 33456?
12
What is the highest common factor of 2156661 and 9?
9
What is the greatest common factor of 144 and 168300?
36
What is the highest common factor of 30 and 71097?
3
Calculate the greatest common divisor of 598683 and 591.
591
Calculate the highest common divisor of 167042 and 986.
34
Calculate the highest common factor of 880 and 3476.
44
What is the highest common divisor of 44 and 242924?
44
Calculate the highest common factor of 26 and 140790.
26
What is the greatest common divisor of 1352 and 9935848?
1352
Calculate the highest common factor of 8 and 12076.
4
Calculate the greatest common factor of 1090752 and 1056.
96
What is the greatest common factor of 3008 and 1786?
94
Calculate the highest common factor of 7009 and 489.
163
Calculate the highest common divisor of 1680 and 73872.
48
What is the greatest common divisor of 3424 and 1648?
16
What is the highest common factor of 65698 and 1070?
214
What is the highest common divisor of 170764 and 44?
44
Calculate the greatest common divisor of 189 and 90405.
63
What is the highest common factor of 99930 and 18?
6
What is the greatest common divisor of 63774 and 135?
27
Calculate the highest common factor of 10658 and 2336.
146
Calculate the highest common divisor of 190475 and 4275.
475
Calculate the greatest common divisor of 13855 and 3485.
85
What is the greatest common factor of 518 and 19726?
14
Calculate the highest common divisor of 67 and 16501162.
67
What is the highest common divisor of 185 and 99345?
185
What is the greatest common factor of 9361 and 8855?
253
Calculate the highest common divisor of 1566 and 6534.
54
What is the highest common divisor of 20255 and 145?
5
Calculate the highest common factor of 116 and 18386.
58
Calculate the highest common factor of 850 and 10625.
425
What is the highest common divisor of 5354 and 4?
2
What is the greatest common divisor of 121396 and 1100?
44
What is the greatest common divisor of 91532 and 343?
49
Calculate the greatest common divisor of 363378 and 426.
426
Calculate the greatest common divisor of 4056 and 392.
8
What is the greatest common factor of 1695 and 705?
15
What is the highest common factor of 209950 and 40014?
494
Calculate the greatest common divisor of 1388436 and 28.
28
What is the highest common divisor of 59 and 181?
1
Calculate the highest common factor of 7124 and 257560.
548
Calculate the greatest common divisor of 86 and 5530.
2
What is the highest common divisor of 168 and 7353276?
84
Calculate the greatest common divisor of 84 and 39459.
21
Calculate the greatest common factor of 2940 and 540.
60
What is the greatest common divisor of 262 and 394179?
131
Calculate the highest common factor of 26510 and 6.
2
What is the highest common divisor of 3224 and 77779?
403
Calculate the greatest common divisor of 288831 and 2967.
129
Calculate the greatest common factor of 129 and 845982.
129
What is the highest common divisor of 38674 and 12680?
634
What is the greatest common factor of 3608226 and 6?
6
Calculate the highest common factor of 22 and 40667.
11
Calculate the highest common divisor of 329965 and 115.
5
Calculate the greatest common factor of 51964 and 8580.
44
What is the greatest common factor of 27070 and 20?
10
Calculate the highest common factor of 650 and 49400.
650
What is the highest common divisor of 4316 and 364?
52
Calculate the highest common factor of 44447 and 845.
169
Calculate the highest common divisor of 1206 and 57821.
67
What is the greatest common divisor of 422 and 3740186?
422
Calculate the highest common factor of 6050 and 15675.
275
Calculate the highest common divisor of 483311 and 958.
479
Calculate the highest common divisor of 30028 and 40.
4
Calculate the highest common divisor of 6236244 and 511.
511
What is the greatest common divisor of 170 and 131990?
10
Calculate the greatest common factor of 75255 and 11745.
435
Calculate the greatest common divisor of 217 and 28.
7
Calculate the highest common factor of 8064 and 34902.
126
What is the greatest common divisor of 32171 and 106?
53
What is the highest common divisor of 75 and 3873?
3
What is the highest common divisor of 67348 and 47008?
452
Calculate the highest common factor of 36903 and 6.
3
What is the highest common divisor of 3 and 4607?
1
What is the greatest common factor of 40 and 169160?
40
Calculate the highest common factor of 6018 and 30.
6
Calculate the greatest common factor of 775 and 24.
1
What is the greatest common factor of 23 and 2608706?
23
Calculate the highest common divisor of 16 and 134824.
8
Calculate the highest common divisor of 2486 and 100118.
226
Calculate the highest common divisor of 3171 and 1208.
151
What is the highest common factor of 3906 and 610204?
434
Calculate the greatest common factor of 38140 and 60.
20
What is the greatest common factor of 129657 and 66?
33
What is the highest common factor of 1083285 and 14535?
855
What is the greatest common factor of 39 and 3266393?
13
Calculate the greatest common factor of 9 and 281043.
9
Calculate the highest common divisor of 11625 and 111375.
375
What is the highest common factor of 1512570 and 2540?
1270
Calculate the highest common factor of 20821 and 517.
47
What is the highest common divisor of 6864 and 3464604?
1716
Calculate the highest common divisor of 1291 and 15.
1
What is the greatest common factor of 34 and 2255016?
34
Calculate the highest common factor of 959 and 2329.
137
What is the greatest common factor of 792 and 5533?
11
Calculate the highest common factor of 1921725 and 25.
25
Calculate the greatest common factor of 2660502 and 2990.
598
Calculate the greatest common factor of 188786 and 6201.
689
Calculate the highest common divisor of 1913816 and 248.
248
What is the greatest common divisor of 9322495 and 14?
7
Calculate the greatest common divisor of 40650 and 3794.
542
What is the highest common factor of 148396 and 8?
4
What is the greatest common factor of 332 and 58432?
332
What is the highest common divisor of 23241 and 183?
183
What is the highest common divisor of 2500 and 200?
100
What is the highest common factor of 480 and 955?
5
Calculate the greatest common divisor of 4732915 and 605.
605
What is the highest common factor of 5340671 and 3836?
959
What is the highest common divisor of 540313 and 218?
109
Calculate the greatest common divisor of 437 and 1321051.
437
What is the highest common factor of 205259 and 83?
83
Calculate the highest common divisor of 252 and 15768.
36
Calculate the greatest common factor of 23 and 41101.
23
What is the highest common divisor of 464 and 37265?
29
What is the greatest common divisor of 64376 and 1000?
8
Calculate the highest common factor of 649 and 236.
59
Calculate the greatest common divisor of 761968 and 16.
16
What is the greatest common factor of 31844862 and 126?
126
Calculate the highest common divisor of 48 and 454992.
48
What is the greatest common factor of 47248 and 288?
16
Calculate the highest common factor of 333135 and 165.
165
What is the greatest common factor of 3361611 and 33?
33
Calculate the greatest common factor of 26706 and 6.
6
What is the highest common factor of 141864 and 8?
8
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
s the next term in -27, -14, 9, 48, 109?
198
What comes next: 58, 82, 106, 130, 154, 178?
202
What is next in 1, -16, -69, -176, -355, -624?
-1001
What is the next term in -11206, -11208, -11210, -11212, -11214?
-11216
What comes next: 32, 151, 346, 617?
964
What comes next: 47, 41, 31, 17, -1, -23?
-49
What comes next: -541, -530, -503, -454, -377, -266?
-115
What is next in 199, 398, 597, 796, 995?
1194
What is next in -20, -26, -26, -20, -8, 10, 34?
64
What is the next term in -51, -111, -165, -213, -255, -291, -321?
-345
What is next in 13, 24, 31, 34, 33?
28
What is the next term in 67, 68, 71, 76, 83, 92?
103
What is the next term in 8, 7, 6, 5, 4, 3?
2
What comes next: 104, 192, 294, 416, 564, 744, 962?
1224
What is next in 1130, 1132, 1136, 1142, 1150, 1160, 1172?
1186
What is next in -79, -205, -333, -463, -595, -729?
-865
What comes next: 32, 45, 58, 71, 84?
97
What comes next: 7420, 7419, 7418, 7417, 7416, 7415?
7414
What is the next term in 12165, 12169, 12173, 12177, 12181, 12185?
12189
What is next in -103, -145, -223, -343, -511?
-733
What comes next: 10, 30, 64, 112?
174
What is the next term in 108, 216, 324, 432, 540?
648
What comes next: 101, 201, 301, 401?
501
What is the next term in 69, 258, 577, 1032, 1629?
2374
What comes next: -7548, -7541, -7532, -7521, -7508, -7493?
-7476
What comes next: -1165, -1164, -1163, -1162?
-1161
What is next in -1255, -1258, -1261, -1264, -1267?
-1270
What is the next term in -1166, -2333, -3500?
-4667
What comes next: -2902, -2903, -2906, -2911, -2918, -2927, -2938?
-2951
What is next in 614, 646, 706, 800, 934, 1114, 1346, 1636?
1990
What comes next: -1546, -1527, -1518, -1525, -1554, -1611?
-1702
What is next in 97, 90, 83?
76
What comes next: -3, -43, -113, -213?
-343
What is the next term in 56, 135, 250, 419, 660?
991
What is the next term in -52, -40, -14, 32, 104, 208, 350, 536?
772
What comes next: -26, -57, -106, -173?
-258
What is next in 460, 917, 1386, 1873, 2384, 2925, 3502?
4121
What is the next term in -55, -221, -497, -883, -1379?
-1985
What comes next: 29989, 29992, 29997, 30004, 30013, 30024?
30037
What comes next: 342, 667, 984, 1287, 1570, 1827, 2052, 2239?
2382
What is next in 25, -43, -133, -239, -355, -475, -593, -703?
-799
What is the next term in -16, -15, -14, -13?
-12
What comes next: 284, 277, 264, 245, 220, 189, 152?
109
What is next in 530, 529, 528?
527
What is next in 44, 58, 96, 170, 292?
474
What is next in -994, -1979, -2964?
-3949
What is next in 176, 335, 478, 605?
716
What is next in -1, -7, -15, -25, -37?
-51
What is next in 58, 52, 34, -2, -62, -152, -278, -446?
-662
What comes next: -67, -65, -63, -61?
-59
What comes next: -339, -660, -973, -1278?
-1575
What is the next term in -245, -269, -293, -317, -341?
-365
What is next in 6, 23, 54, 105, 182?
291
What comes next: 101, 123, 165, 233, 333, 471, 653?
885
What is the next term in -35, -107, -253, -509, -911, -1495, -2297, -3353?
-4699
What is the next term in 28, 22, 30, 58, 112, 198, 322, 490?
708
What comes next: -23, -81, -171, -287, -423, -573, -731?
-891
What is next in -872, -886, -910, -950, -1012, -1102, -1226, -1390?
-1600
What is the next term in -2328, -2322, -2312, -2298, -2280?
-2258
What is next in -30, -47, -64?
-81
What comes next: 259, 424, 591, 760, 931, 1104, 1279?
1456
What is the next term in 115, 220, 313, 388, 439, 460, 445, 388?
283
What is the next term in -273, -273, -263, -237, -189, -113, -3?
147
What comes next: 728, 727, 726, 725, 724?
723
What is next in 535, 1069, 1603, 2137, 2671, 3205?
3739
What is next in 11, 0, -13, -22, -21, -4, 35, 102?
203
What comes next: 4, 10, 16, 22, 28?
34
What comes next: 4753, 4754, 4755, 4756, 4757?
4758
What is next in 33, 49, 57, 57, 49, 33?
9
What is next in -1914, -1913, -1900, -1869, -1814?
-1729
What is next in 513, 506, 485, 444, 377?
278
What is next in 30, 46, 62, 78, 94, 110?
126
What is next in -3, 27, 55, 81, 105, 127, 147?
165
What comes next: 2508, 5019, 7534, 10053, 12576, 15103?
17634
What comes next: 116, -157, -612, -1249?
-2068
What is next in -78, -173, -260, -333, -386, -413, -408, -365?
-278
What is the next term in 29, 157, 369, 665, 1045?
1509
What is the next term in -137, -138, -139, -140, -141?
-142
What is the next term in -228, -235, -240, -243, -244?
-243
What is next in 34, 65, 94, 121, 146?
169
What comes next: -15, -69, -155, -267, -399?
-545
What comes next: -76, -190, -306, -424, -544, -666?
-790
What comes next: -12, -33, -76, -147, -252?
-397
What comes next: 95, 191, 287, 383, 479?
575
What is the next term in 44, 243, 788, 1853, 3612?
6239
What is next in -68, -134, -198, -260, -320?
-378
What comes next: 174, 167, 160, 153, 146, 139?
132
What is the next term in -125, -116, -101, -80, -53, -20?
19
What comes next: 2, 26, 74, 152, 266, 422, 626?
884
What is next in 36083, 36084, 36085?
36086
What is the next term in -101, -121, -151, -191, -241?
-301
What comes next: 24, 46, 80, 126, 184, 254, 336?
430
What is the next term in 32, 14, -14, -52?
-100
What is the next term in -764, -1528, -2292, -3056?
-3820
What is next in -28, -87, -252, -577, -1116?
-1923
What is the next term in 581, 1164, 1747, 2330, 2913?
3496
What comes next: 182, 185, 188?
191
What is the next term in 40, 64, 84, 100, 112?
120
What is next in 375, 746, 1117?
1488
What is next in 30, 57, 94, 147, 222, 325, 462, 639?
862
What is next in -14, -12, -14, -26, -54, -104?
-182
What is the next term in 230, 450, 670, 890, 1110, 1330?
1550
What comes next: -163, -338, -529, -736, -959?
-1198
What comes next: -104, -75, -34, 13, 60, 101, 130, 141?
128
What is next in -39, -42, -45, -48?
-51
What is next in -8, -17, -62, -167, -356, -653?
-1082
What comes next: 20, 30, 36, 38, 36, 30, 20?
6
What is the next term in -869, -873, -877?
-881
What is the next term in -72, -86, -134, -234, -404, -662?
-1026
What comes next: 1069, 1068, 1067?
1066
What is next in -757, -755, -743, -715, -665, -587, -475, -323?
-125
What comes next: -2324, -2318, -2292, -2234, -2132, -1974, -1748, -1442?
-1044
What is the next term in 3, -7, -41, -111, -229?
-407
What is the next term in 50, 105, 162, 221?
282
What is next in 9, 18, 27, 36, 45?
54
What is the next term in 73, 227, 483, 841, 1301, 1863?
2527
What is the next term in 227, 232, 241, 254?
271
What is next in -113, -134, -155, -176, -197?
-218
What is next in -10, -87, -232, -451, -750?
-1135
What comes next: -96, -99, -102, -105, -108?
-111
What is the next term in -345, -337, -317, -279, -217, -125?
3
What is the next term in 15, 23, 31, 39, 47, 55?
63
What is next in 135, 260, 385, 510, 635?
760
What is next in 106, 215, 324, 433, 542, 651?
760
What comes next: 562, 556, 538, 502, 442, 352?
226
What is next in 27, 51, 75?
99
What is the next term in 6170, 12340, 18512, 24686, 30862, 37040?
43220
What is the next term in -827, -1658, -2489, -3320, -4151?
-4982
What comes next: 1528, 3063, 4598?
6133
What is next in -264, -506, -722, -900, -1028, -1094, -1086?
-992
What is the next term in -144, -598, -1360, -2436, -3832, -5554, -7608?
-10000
What comes next: -8, -2, 4, 10?
16
What is next in 880, 879, 878, 877?
876
What comes next: 361, 1430, 3211, 5704, 8909?
12826
What is next in -2409, -2414, -2421, -2430, -2441, -2454, -2469?
-2486
What is next in -397, -1584, -3563, -6334, -9897?
-14252
What comes next: -46, -81, -106, -115, -102, -61, 14, 129?
290
What is the next term in 167, 320, 471, 620, 767?
912
What is next in -16, -12, -6, 2?
12
What is next in 333, 666, 999, 1332?
1665
What comes next: -5, 0, 29, 94, 207, 380, 625?
954
What comes next: 5, 9, 13, 17, 21, 25?
29
What is the next term in -6, -15, -40, -87, -162, -271?
-420
What is next in 678, 676, 674, 672, 670?
668
What comes next: -964, -3869, -8710, -15487, -24200, -34849?
-47434
What is the next term in -4, -51, -182, -439, -864, -1499?
-2386
What comes next: 353, 704, 1055, 1406, 1757, 2108?
2459
What is next in 167, 177, 187, 197?
207
What comes next: -734, -1441, -2158, -2891, -3646?
-4429
What is the next term in -471, -475, -483, -495?
-511
What is the next term in 53, 70, 89, 104, 109?
98
What is next in 54, 59, 68, 81?
98
What is the next term in 188, 367, 534, 683, 808, 903?
962
What comes next: -23, -34, -57, -98, -
|
{
"pile_set_name": "DM Mathematics"
}
|
on factor of 14844 and 14088?
12
Calculate the highest common factor of 5244109 and 1556.
389
Calculate the highest common divisor of 308868 and 1344.
84
What is the greatest common factor of 21279 and 2646727?
173
What is the highest common factor of 1468 and 747679558?
734
What is the greatest common divisor of 45336056 and 2840?
568
Calculate the highest common divisor of 104 and 50326632.
8
Calculate the highest common factor of 2107 and 19334047.
43
Calculate the greatest common factor of 5472563 and 109.
109
What is the highest common divisor of 3551330 and 30?
10
Calculate the highest common factor of 9887 and 1290777511.
9887
What is the highest common divisor of 7080532 and 1006296?
7292
What is the highest common divisor of 40 and 19799540?
20
Calculate the highest common factor of 274663 and 384056.
787
Calculate the greatest common divisor of 2020 and 45411014.
202
What is the highest common factor of 1323 and 7092981?
189
Calculate the highest common divisor of 280 and 559832840.
280
Calculate the greatest common factor of 8 and 3711713.
1
Calculate the highest common factor of 9 and 5157909.
9
Calculate the highest common divisor of 28 and 351642081.
7
Calculate the greatest common factor of 6765 and 27101943.
1353
Calculate the highest common divisor of 150 and 71016450.
150
What is the greatest common factor of 1552576 and 704?
64
What is the greatest common divisor of 3752 and 794224298?
938
What is the highest common divisor of 302235995 and 26331?
8777
What is the highest common factor of 3836 and 2455712?
28
What is the greatest common divisor of 23981717 and 16696?
2087
What is the greatest common factor of 2546417679 and 39?
39
Calculate the highest common factor of 5 and 590525000.
5
Calculate the greatest common factor of 30356831 and 25915.
5183
Calculate the highest common divisor of 3506 and 19053357.
1753
What is the highest common factor of 1915458 and 12149169?
10761
What is the highest common factor of 102 and 11586520?
34
Calculate the greatest common divisor of 531 and 2906517.
177
What is the greatest common factor of 1659 and 20174637?
21
Calculate the greatest common factor of 5040 and 5270160.
1680
Calculate the highest common factor of 142234355 and 31.
31
What is the greatest common factor of 348239256 and 53?
53
What is the highest common factor of 115 and 409985?
5
What is the greatest common factor of 19280 and 15920?
80
Calculate the highest common factor of 56286784 and 4190.
838
What is the greatest common divisor of 12239048 and 14824?
136
Calculate the highest common divisor of 41528 and 313432.
232
Calculate the highest common factor of 952 and 25762667.
119
Calculate the greatest common factor of 217929 and 30.
3
What is the greatest common divisor of 4960373 and 451?
11
Calculate the highest common factor of 2106 and 490044087.
1053
What is the greatest common divisor of 57980 and 11960?
260
What is the highest common factor of 1082196 and 8464?
92
Calculate the greatest common factor of 136 and 16234032.
8
Calculate the greatest common divisor of 730 and 133827615.
365
Calculate the highest common factor of 34840 and 633272.
8
What is the greatest common divisor of 49699145 and 6819?
2273
What is the greatest common factor of 163328 and 1542464?
704
What is the highest common divisor of 682596 and 60?
12
Calculate the highest common factor of 22664 and 24456.
8
Calculate the greatest common factor of 234 and 502879702.
26
Calculate the greatest common divisor of 317232 and 42336.
144
What is the greatest common factor of 13312620 and 100?
20
What is the highest common factor of 35656135 and 224405?
6065
Calculate the greatest common divisor of 1129 and 4676318.
1129
What is the highest common divisor of 90 and 25846350?
30
What is the highest common factor of 26369 and 581?
7
What is the highest common factor of 4706 and 6893566?
362
What is the highest common factor of 11715632 and 555376?
1648
What is the highest common divisor of 42024 and 35088?
408
Calculate the highest common factor of 454479 and 15957.
591
Calculate the highest common divisor of 354496305 and 316.
79
Calculate the highest common divisor of 27693 and 15283.
17
Calculate the greatest common factor of 2539936 and 6272.
224
What is the highest common factor of 11131755 and 45?
15
What is the highest common divisor of 82720 and 8162396?
2068
What is the highest common factor of 35 and 32555915?
35
What is the highest common factor of 7 and 11929127?
7
Calculate the greatest common divisor of 39 and 32967675.
39
What is the greatest common divisor of 2288 and 46349160?
1144
What is the greatest common divisor of 716544 and 4736?
128
Calculate the highest common factor of 1036482 and 2552394.
4566
Calculate the greatest common divisor of 12020 and 39275951.
601
What is the highest common divisor of 10892763 and 179487?
2331
Calculate the highest common factor of 132 and 3224064.
12
What is the greatest common divisor of 168580341 and 72?
9
Calculate the greatest common divisor of 3 and 24078852.
3
Calculate the greatest common factor of 26940 and 160065.
15
Calculate the greatest common factor of 384 and 28973472.
96
What is the greatest common divisor of 161118580 and 630?
70
Calculate the highest common divisor of 93449038 and 227389.
7841
Calculate the highest common factor of 118332 and 21204.
684
What is the greatest common divisor of 6125 and 80951675?
1225
Calculate the greatest common divisor of 36270614 and 23466.
7822
What is the highest common divisor of 16496293 and 3?
1
What is the greatest common divisor of 6543678 and 6?
6
What is the highest common divisor of 34069621 and 16505?
3301
Calculate the greatest common divisor of 22991292 and 8721.
171
What is the greatest common factor of 2892 and 1590276?
12
What is the greatest common divisor of 765 and 323338555?
85
What is the greatest common factor of 213299 and 69241?
17
What is the highest common divisor of 36430 and 40190?
10
What is the greatest common divisor of 147297 and 40552?
37
Calculate the greatest common factor of 19185369 and 231.
21
What is the highest common factor of 24810 and 2681970?
30
Calculate the highest common divisor of 169050 and 27853.
161
Calculate the greatest common divisor of 24720 and 19592.
8
What is the highest common factor of 375156444 and 29328?
7332
Calculate the highest common divisor of 533539296 and 30848.
7712
What is the highest common divisor of 1349864 and 248?
248
What is the greatest common factor of 14412 and 786?
6
Calculate the greatest common factor of 11305 and 23317.
7
What is the greatest common factor of 32 and 124885348?
4
Calculate the greatest common factor of 11220 and 2461770.
510
What is the highest common divisor of 16210707 and 34?
17
What is the greatest common factor of 44950 and 660475?
725
Calculate the highest common factor of 226716 and 3108.
84
Calculate the highest common factor of 68484580 and 1085.
155
What is the highest common factor of 493 and 3053506?
17
Calculate the greatest common divisor of 938313640 and 440.
440
What is the highest common factor of 85828 and 727732?
172
Calculate the highest common divisor of 3651 and 45728775.
3651
What is the greatest common divisor of 13914499 and 151?
151
What is the highest common divisor of 6647968 and 1664?
32
Calculate the greatest common factor of 483 and 7671328.
161
Calculate the greatest common divisor of 382 and 9332.
2
Calculate the greatest common divisor of 1441134 and 8.
2
Calculate the highest common factor of 16 and 2124739.
1
What is the highest common divisor of 600662 and 346?
2
Calculate the highest common divisor of 9590522 and 4.
2
Calculate the greatest common divisor of 1158 and 1080210.
6
What is the highest common factor of 61954479 and 3312?
207
Calculate the greatest common factor of 24 and 1713207.
3
Calculate the highest common factor of 6633876 and 1581.
1581
What is the highest common factor of 7696099 and 111504?
2323
Calculate the highest common divisor of 477076 and 82.
82
Calculate the greatest common factor of 17518460 and 300.
20
Calculate the highest common factor of 227483 and 4251.
109
What is the highest common factor of 1475004 and 32724?
1212
Calculate the highest common factor of 6292 and 392678
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-1, 0, 2, 3, 39
Sort -5, 76, 10, -10 in ascending order.
-10, -5, 10, 76
Sort -2, 0.7, 59 in decreasing order.
59, 0.7, -2
Sort -2/19, -8, 2/3.
-8, -2/19, 2/3
Put -1, 6, 5, 3, -2 in decreasing order.
6, 5, 3, -1, -2
Sort -26, -13, -7.
-26, -13, -7
Sort -2, -361, 2/17 in increasing order.
-361, -2, 2/17
Put 6, -5, 26 in descending order.
26, 6, -5
Sort 0.4, 5, -4/75, 4/11.
-4/75, 4/11, 0.4, 5
Sort 0.01, 4, 2/11 in increasing order.
0.01, 2/11, 4
Put 91, -1, 1 in ascending order.
-1, 1, 91
Sort 4/7, -0.4, -0.6, -1.
-1, -0.6, -0.4, 4/7
Put 4, 278, 1 in decreasing order.
278, 4, 1
Sort 1, 344, 11 in increasing order.
1, 11, 344
Put -2, -3, 46, 3 in decreasing order.
46, 3, -2, -3
Sort -342, 0.5, 5 in decreasing order.
5, 0.5, -342
Sort 6, -0.2, -6/11, 7/6.
-6/11, -0.2, 7/6, 6
Sort 9, 4, 1, -4, -23 in decreasing order.
9, 4, 1, -4, -23
Put 4, -4, 0.5, -2.5 in descending order.
4, 0.5, -2.5, -4
Sort 0, -4/7, -3, 0.7, 4 in decreasing order.
4, 0.7, 0, -4/7, -3
Sort -5, -150, 4 in decreasing order.
4, -5, -150
Sort -2, 1, -4, -0.12, 4.4 in descending order.
4.4, 1, -0.12, -2, -4
Sort -28, 2, 1, 0 in descending order.
2, 1, 0, -28
Sort 0.1, -2, -8, 0.4.
-8, -2, 0.1, 0.4
Sort 0.2, 2, -4, -4/5, -6 in descending order.
2, 0.2, -4/5, -4, -6
Put 10, -1, 5, 2, -18 in decreasing order.
10, 5, 2, -1, -18
Put -3, -32, 8, 3 in descending order.
8, 3, -3, -32
Put -5, 250, -3 in increasing order.
-5, -3, 250
Sort 3, -42, -1, -5 in decreasing order.
3, -1, -5, -42
Sort -2520, 4, 1 in decreasing order.
4, 1, -2520
Sort 0.3, -0.43, -4/7, 2/21 in increasing order.
-4/7, -0.43, 2/21, 0.3
Sort 19, 0, -8, -1/2, 0.2 in descending order.
19, 0.2, 0, -1/2, -8
Sort 0, -22, -2, -1 in decreasing order.
0, -1, -2, -22
Put 0, -4, -1, -3 in decreasing order.
0, -1, -3, -4
Put -104, -5, 14 in descending order.
14, -5, -104
Put -5, 0, -7, 9 in decreasing order.
9, 0, -5, -7
Put -1, -34/5, 0.2, -1/4, 3 in ascending order.
-34/5, -1, -1/4, 0.2, 3
Sort 5, -8, -9 in ascending order.
-9, -8, 5
Sort 0.04, 7/15, 1/8.
0.04, 1/8, 7/15
Put 0, 2, -2, -12 in descending order.
2, 0, -2, -12
Put 0, -1, -124 in descending order.
0, -1, -124
Sort 296, -2, -3 in decreasing order.
296, -2, -3
Sort 0.094, -2, 2 in decreasing order.
2, 0.094, -2
Sort 1, -32, 5, -1.
-32, -1, 1, 5
Sort -2, 10, -3, 8.
-3, -2, 8, 10
Sort 5, 0.84, 7 in decreasing order.
7, 5, 0.84
Sort -88, -3, 3 in descending order.
3, -3, -88
Put 1, -96, -2, -4 in decreasing order.
1, -2, -4, -96
Sort 3, 18, 4 in decreasing order.
18, 4, 3
Sort -4, -8, -83 in increasing order.
-83, -8, -4
Sort -4, -34, 3 in decreasing order.
3, -4, -34
Sort -4, 112, -3/7, 2 in ascending order.
-4, -3/7, 2, 112
Sort -2, -3, 9, -7, 3 in descending order.
9, 3, -2, -3, -7
Sort -552, 3, 4 in decreasing order.
4, 3, -552
Sort -5, -1, 3, 2 in decreasing order.
3, 2, -1, -5
Sort -257, 2, -2 in decreasing order.
2, -2, -257
Put -37, -2/7, 6, 1 in ascending order.
-37, -2/7, 1, 6
Put 1/4, -0.883, 4, -2 in descending order.
4, 1/4, -0.883, -2
Sort 3, -109, -3, -4 in descending order.
3, -3, -4, -109
Sort 1/7, 0, -11646 in decreasing order.
1/7, 0, -11646
Sort -3, -48, -2 in descending order.
-2, -3, -48
Sort -1, -3, 1569.
-3, -1, 1569
Sort 1/3, 4/15, -11 in descending order.
1/3, 4/15, -11
Sort -4, -99, 1/3 in decreasing order.
1/3, -4, -99
Sort -3/13, -2/5, 130 in ascending order.
-2/5, -3/13, 130
Sort 0.7, -1, 2 in decreasing order.
2, 0.7, -1
Put -4, -2, -28, 1 in descending order.
1, -2, -4, -28
Put 2, 546, 4 in descending order.
546, 4, 2
Sort 0.5, 2, -8.
-8, 0.5, 2
Sort -4, 1481, 0 in ascending order.
-4, 0, 1481
Put 15, -71/9, -2/11 in increasing order.
-71/9, -2/11, 15
Sort 5, -1/4, -0.69 in decreasing order.
5, -1/4, -0.69
Sort -0.3, 0.18, -1, 13/3.
-1, -0.3, 0.18, 13/3
Sort 0, 2, -40 in descending order.
2, 0, -40
Put -10, -2, -251 in descending order.
-2, -10, -251
Put 0.2, -7, 1, 0.64, 1/3 in decreasing order.
1, 0.64, 1/3, 0.2, -7
Sort -1, 5, -8, 3, -140 in decreasing order.
5, 3, -1, -8, -140
Put -1, 4, -3, -134 in decreasing order.
4, -1, -3, -134
Put -4, -0.5, 0.02, -1 in ascending order.
-4, -1, -0.5, 0.02
Sort 5, -4, -2, 0.3, -6 in ascending order.
-6, -4, -2, 0.3, 5
Sort 22, 5, -4, 10 in decreasing order.
22, 10, 5, -4
Sort -3, 0.56, -1/5, 0.1, 0.7.
-3, -1/5, 0.1, 0.56, 0.7
Sort -218, 2, -2.
-218, -2, 2
Sort -1, 1, -4, 3.9 in decreasing order.
3.9, 1, -1, -4
Put 1/7, 2, -2 in ascending order.
-2, 1/7, 2
Put 1/7, 0.32, -36 in descending order.
0.32, 1/7, -36
Sort -3, 4, 0, 13, 3.
-3, 0, 3, 4, 13
Put 6/11, -0.3, 0.2092 in descending order.
6/11, 0.2092, -0.3
Put 0.5, -0.2, -4.6, -0.5 in decreasing order.
0.5, -0.2, -0.5, -4.6
Sort 5, 77, -9 in descending order.
77, 5, -9
Put -0.05, 5, 21/20 in ascending order.
-0.05, 21/20, 5
Sort -33, -1, 2 in decreasing order.
2, -1, -33
Sort -47, 3, -5 in decreasing order.
3, -5, -47
Sort 24.2, 42, 4, 2, -0.5.
-0.5, 2, 4, 24.2, 42
Sort 4, 2, -4, 33 in increasing order.
-4, 2, 4, 33
Put -4, 5, -2, 0.23, 0.2 in descending order.
5, 0.23, 0.2, -2, -4
Sort 1338, 0.5, -2/3.
-2/3, 0.5, 1338
Put 507, -1, -5 in increasing order.
-5, -1, 507
Put 2, 3, 52 in descending order.
52, 3, 2
Put 2, 0.1, 180, -0.1 in decreasing order.
180, 2, 0.1, -0.1
Sort -5/2, -2, 2 in increasing order.
-5/2, -2, 2
Sort -9, 3, -1, -2 in descending order.
3, -1, -2, -9
Sort -1/4, 0.2, -91, -1 in decreasing order.
0.2, -1/4, -1, -91
Sort 7, 1, 5.
1, 5, 7
Put 1/7, -0.4, 0.5, -2, 13/4 in descending order.
13/4, 0.5, 1/7, -0.4, -2
Sort 0.2, -5/4, 0.014, 3.
-5/4, 0.014, 0.2, 3
Sort 0.07, -9, -1/2, -0.1 in ascending order.
-9, -1/2, -0.1, 0.07
Sort -1, -6, 8 in ascending order.
-6, -1, 8
Sort 0, 5, 0.4, 24 in descending order.
24, 5, 0.4, 0
Sort 4, -2, -5, 65 in ascending order.
-5, -2, 4, 65
Sort 2/13, 3, -15, 0.4, 0.3 in increasing order.
-15, 2/13, 0.3, 0.4, 3
Put 2, -5, -26, 4, -2 in increasing order.
-26, -5, -2, 2, 4
Put -6, 3, 0 in ascending order.
-6, 0, 3
Put -5, 2305, 4 in increasing order.
-5, 4, 2305
Sort -3, 75, -1/5 in decreasing order.
75, -1/5, -3
Put 1, 4, 10, -5 in increasing order.
-5, 1, 4, 10
Sort -5, 0.3, -1, -2 in descending order.
0.3, -1, -2, -5
Sort -0.05, -1/4, 1/4, -0.4 in increasing order.
-0.4, -1/4, -0.05, 1/4
Sort 4, 10, -5, -1 in decreasing order.
10, 4, -1, -5
Sort -3/2, -8, -11, -5/6 in decreasing order.
-5/6, -3/2, -8, -11
Put 5, -4, -698, 1 in decreasing order.
5, 1, -4, -698
Put -4, -137, -2, 12 in ascending order.
-137, -4, -2, 12
Put -2, -5, -2135, 0, 3 in decreasing order.
3, 0, -2, -5, -2135
Put -23, -1, 4 in increasing order.
-23, -1, 4
Put 5, 8, -10, -0.2 in descending order.
8, 5, -0.2, -10
Put -3327, 0, -0.5 in increasing order.
-3327, -0.5, 0
Sort -1, -4, -272 in decreasing order.
-1, -4, -272
Sort -16, 5, 9 in descending order.
9, 5, -16
Put 6, -4, -2, 7 in descending order.
7, 6, -2, -4
Sort -4, 2, 3, -1/11 in decreasing order.
3, 2, -1/11, -4
Put 1/5, -1/4, 2/9, 1.1 in increasing order.
-1/4, 1/5, 2/9, 1.1
Sort -0.4, 2/83, 2, -0.2 in ascending order.
-0.4, -0.2, 2/83, 2
Sort -101, -1, 3, -5, 5 in increasing order.
-101, -5, -1, 3, 5
Sort 0.02, 2/3, 1, 1/2 in increasing order.
0.02, 1/2, 2/3, 1
Sort -4, -29, 7, -3.
-29, -4, -3, 7
Sort 1, -103/3, 0, -0.4 in descending order.
1, 0, -0.4, -103/3
Put -4, 0.024, 0.2, -1 in ascending order.
-4, -1, 0.024, 0.2
Sort -2, 28, -8 in descending order.
28, -2, -8
Sort 2, -11, 1, -2/13 in descending order.
2, 1, -2/13, -11
Sort 5, 17, -2, -8 in decreasing order.
17, 5, -2, -8
Put -2, -2/3, 3/7, -1, -3 in decreasing order.
3/7, -2/3, -1, -2, -3
Sort 1, 4/11, -2/3.
-2/3, 4/11, 1
Put 1, 18, -2/7, 2, -11 in descending order.
18, 2, 1, -2/7, -11
Put -4, -2, 1, 2, -1 in descending order.
2, 1, -1, -2, -4
Sort -140, 1, 25.
-140, 1, 25
Sort 2, -5, -45, -3, -4 in descending order.
2, -3, -4, -5, -45
Put 3, 2, 1, -119 in increasing order.
-119, 1, 2, 3
Put 66, -2, -12 in decreasing order.
66, -2, -12
Put -129, 9, -2 in increasing order.
-129, -2, 9
Put -5, 136, -0.2 in descending order.
136, -0.2, -5
Put -35, 0, 3/2, 1/3 in descending order.
3/2, 1/3, 0, -35
Put -3, 5, -1, -2/47 in descending order.
5, -2/47, -1, -3
Put 1, 312, -4/5, 7, 4 in decreasing order.
312, 7, 4, 1, -4/5
Sort 0, -263, -2, -3 in descending order.
0, -2, -3, -263
Put 0.4, 1, 44 in descending orde
|
{
"pile_set_name": "DM Mathematics"
}
|
-2/9 in ascending order.
-4, -2, -2/9, -4/89, 0.5, 6
Sort -415, 0.3, 37, -4, -5 in increasing order.
-415, -5, -4, 0.3, 37
Put 3/2, 1, -2/7, 2/5, -0.6, 0 in increasing order.
-0.6, -2/7, 0, 2/5, 1, 3/2
Put 1, 3, -0.07, 0.4, -0.24, 2 in ascending order.
-0.24, -0.07, 0.4, 1, 2, 3
Sort 0, -67, 17, -4, -3, 1 in increasing order.
-67, -4, -3, 0, 1, 17
Sort -148, 1, 0, -47, 3 in ascending order.
-148, -47, 0, 1, 3
Put -3, -3048, -5, 0.1 in decreasing order.
0.1, -3, -5, -3048
Sort -5, 2/13, 3, 4/17, -0.12, -4 in increasing order.
-5, -4, -0.12, 2/13, 4/17, 3
Put -3/17, 3/7, -3, 583.85 in increasing order.
-3, -3/17, 3/7, 583.85
Sort 0, 166, 176, -5, 4 in ascending order.
-5, 0, 4, 166, 176
Sort -20, -17, -1, -41 in descending order.
-1, -17, -20, -41
Sort 1223, -2, 241, 5, 1 in decreasing order.
1223, 241, 5, 1, -2
Sort -3, -76, -6, 1, 3.
-76, -6, -3, 1, 3
Sort -934, 0.3, 8.1, -1, -0.1 in ascending order.
-934, -1, -0.1, 0.3, 8.1
Put 0, 0.02817, -1/24 in descending order.
0.02817, 0, -1/24
Sort -13, 7, 36, 2, -2 in descending order.
36, 7, 2, -2, -13
Put -4.168, 4, 5, -0.1 in decreasing order.
5, 4, -0.1, -4.168
Put -4727, 0, 5 in decreasing order.
5, 0, -4727
Sort -4, 19, -1, 21, -156, 2 in ascending order.
-156, -4, -1, 2, 19, 21
Sort 5.4, 197, 4, 0.2 in ascending order.
0.2, 4, 5.4, 197
Put -17, 5, -6, -2, 21, 1 in descending order.
21, 5, 1, -2, -6, -17
Sort 1/11, 3/2, 11, -0.022.
-0.022, 1/11, 3/2, 11
Sort -2/9, -1, 539, 6, -4 in descending order.
539, 6, -2/9, -1, -4
Sort -4, -6/55, 16, 0, 4, -0.1 in descending order.
16, 4, 0, -0.1, -6/55, -4
Sort 521, 2, -17 in decreasing order.
521, 2, -17
Sort -2/5, -0.3, 0.07, 1.087, 5/2 in increasing order.
-2/5, -0.3, 0.07, 1.087, 5/2
Sort -3, -4785, 10 in descending order.
10, -3, -4785
Put -5, 26, -25, -4 in decreasing order.
26, -4, -5, -25
Put -1/6, 1, -31/4, -62 in increasing order.
-62, -31/4, -1/6, 1
Put -2, -8, 1, -1, -16 in descending order.
1, -1, -2, -8, -16
Put -220, 8, -8 in ascending order.
-220, -8, 8
Sort -2, -5700, 5, -0.2.
-5700, -2, -0.2, 5
Sort 2/19, 3/7, -4/7, -6/5, 6, 70 in increasing order.
-6/5, -4/7, 2/19, 3/7, 6, 70
Sort -30, 2, -3, -648 in descending order.
2, -3, -30, -648
Put -2, -1106, -3, 11, 8 in increasing order.
-1106, -3, -2, 8, 11
Sort 0, -6, 4707 in ascending order.
-6, 0, 4707
Put -13, -2, 38, 0 in increasing order.
-13, -2, 0, 38
Sort -1/39, -5, 42.936 in descending order.
42.936, -1/39, -5
Put 5, -52, 262/13 in increasing order.
-52, 5, 262/13
Put -323, 4, -4, -6, 9 in increasing order.
-323, -6, -4, 4, 9
Put 5, 7.05, 2 in decreasing order.
7.05, 5, 2
Put 0, -0.19, -1, -6 in increasing order.
-6, -1, -0.19, 0
Sort -10/13, 5, -2/11, -5/2, 11 in ascending order.
-5/2, -10/13, -2/11, 5, 11
Sort -6/5, -12/2461, -11 in increasing order.
-11, -6/5, -12/2461
Sort -6, 4, -2, 610 in descending order.
610, 4, -2, -6
Sort 0.72, 2/9, -991 in decreasing order.
0.72, 2/9, -991
Sort 10, 3, -2, 16, -1 in decreasing order.
16, 10, 3, -1, -2
Sort -215, -1, 4 in descending order.
4, -1, -215
Put -5, -4, -3, -2, -13, 68 in descending order.
68, -2, -3, -4, -5, -13
Sort -1, 2/7, 0.3, -5, 2, -8/139.
-5, -1, -8/139, 2/7, 0.3, 2
Put -15, 27, -504, -1 in descending order.
27, -1, -15, -504
Sort 3442, -11, 1, -4 in decreasing order.
3442, 1, -4, -11
Put 2, -2, 5, -7, 3, -80 in ascending order.
-80, -7, -2, 2, 3, 5
Put 2, 0.3, 0.025, 5, 0.1, -3.5 in descending order.
5, 2, 0.3, 0.1, 0.025, -3.5
Put 20/11, -0.2, 1, -4, 0.3 in descending order.
20/11, 1, 0.3, -0.2, -4
Put -3, 5, -2, 6, -551, -4 in decreasing order.
6, 5, -2, -3, -4, -551
Sort 0.03, -0.05, 0.12, -2 in descending order.
0.12, 0.03, -0.05, -2
Put 3/8, 3/1772, -2/9, -5 in decreasing order.
3/8, 3/1772, -2/9, -5
Put 40, 2, -46, 5 in descending order.
40, 5, 2, -46
Put 2/17, -1/277, -0.5, -1, -2 in increasing order.
-2, -1, -0.5, -1/277, 2/17
Sort 167, 0, 118, -30 in increasing order.
-30, 0, 118, 167
Sort -5, 19, 39, -3, 0 in ascending order.
-5, -3, 0, 19, 39
Put 2/9, -1020, -14 in decreasing order.
2/9, -14, -1020
Sort -14, -5, 3, 144, 5 in ascending order.
-14, -5, 3, 5, 144
Sort -13531, -23, 1, 0 in decreasing order.
1, 0, -23, -13531
Put 31, 50, 58, -5 in increasing order.
-5, 31, 50, 58
Sort -3, 0, -5, 117 in increasing order.
-5, -3, 0, 117
Sort 0.153, -7, 0.11.
-7, 0.11, 0.153
Put -0.2, 413, 6 in decreasing order.
413, 6, -0.2
Put -0.07, -5, 1/6, 4, 9750 in ascending order.
-5, -0.07, 1/6, 4, 9750
Sort -1/2, -4/7, -47140.
-47140, -4/7, -1/2
Sort 0.1, -0.5, 91701/4 in ascending order.
-0.5, 0.1, 91701/4
Put -0.5, 4, 1, 0.1, 0.3, -123/13 in ascending order.
-123/13, -0.5, 0.1, 0.3, 1, 4
Sort 28, 1/2, 4, 0.085.
0.085, 1/2, 4, 28
Sort 0.97, 1, -0.37, -3 in increasing order.
-3, -0.37, 0.97, 1
Sort -0.076, 0.1, -1184 in descending order.
0.1, -0.076, -1184
Put -1.11, 6/29, 6 in descending order.
6, 6/29, -1.11
Sort 3/2, -0.144, 2153, 0.1 in decreasing order.
2153, 3/2, 0.1, -0.144
Put 6, -48, 3, 2, -3 in descending order.
6, 3, 2, -3, -48
Put -4, -2, 2/7 in decreasing order.
2/7, -2, -4
Sort 1/4, -2/7, -11, -168/5.
-168/5, -11, -2/7, 1/4
Sort -15, -0.2, 10, -57, -3.
-57, -15, -3, -0.2, 10
Put 1, -287, -0.231 in increasing order.
-287, -0.231, 1
Sort 1, -3, 29, 4, -275, -13 in descending order.
29, 4, 1, -3, -13, -275
Put -5, 169, 4, -2 in decreasing order.
169, 4, -2, -5
Sort 6, -5, 18, 2, 57 in ascending order.
-5, 2, 6, 18, 57
Sort 1, 4, 53, -7 in ascending order.
-7, 1, 4, 53
Put 0.1, -1/2, 7/2, 5, 1/4 in ascending order.
-1/2, 0.1, 1/4, 7/2, 5
Put 388, 4, -2/13, -5 in descending order.
388, 4, -2/13, -5
Put 0.2, 343, -0.3, -0.1, 2/3 in descending order.
343, 2/3, 0.2, -0.1, -0.3
Sort -2, -1.8, 18.2 in descending order.
18.2, -1.8, -2
Sort 4/7, -45.4, 1/10 in descending order.
4/7, 1/10, -45.4
Sort 1741, -5/4, -1/2, -1, 0, -11.
-11, -5/4, -1, -1/2, 0, 1741
Sort -1081, -4, 30 in descending order.
30, -4, -1081
Sort 5, 2/11, 19/828.
19/828, 2/11, 5
Sort -4, -35, 0, -145 in descending order.
0, -4, -35, -145
Put 53339, 3/10, -3 in descending order.
53339, 3/10, -3
Put 5, -1, -40, -177, 30 in ascending order.
-177, -40, -1, 5, 30
Sort -5, -3, -0.4, 672, -0.5 in ascending order.
-5, -3, -0.5, -0.4, 672
Put -1, -37, 2, -496 in descending order.
2, -1, -37, -496
Put 1/3, -0.1, 29, 1/5, -3 in ascending order.
-3, -0.1, 1/5, 1/3, 29
Sort -1, 978, 6, 1, -5, 4 in decreasing order.
978, 6, 4, 1, -1, -5
Sort -2, 2, 3, -1, 32409.
-2, -1, 2, 3, 32409
Put -2, 1/9, -109335 in increasing order.
-109335, -2, 1/9
Sort -21, 4, 38 in decreasing order.
38, 4, -21
Put -363/2, -479, -1/4 in decreasing order.
-1/4, -363/2, -479
Put 27, 11, -31 in descending order.
27, 11, -31
Put -3/10, 5, 2.3, -3, 1/5, 6 in descending order.
6, 5, 2.3, 1/5, -3/10, -3
Put -2, 1/4, -0.08, 4, -98 in descending order.
4, 1/4, -0.08, -2, -98
Sort 4, 0, 1, -4, -20, -1 in descending order.
4, 1, 0, -1, -4, -20
Put -1491, -1, -5 in decreasing order.
-1, -5, -1491
Sort 0, -19, 4, -24 in descending order.
4, 0, -19, -24
Put -97, 0.1, -5, -15, 4 in descending order.
4, 0.1, -5, -15, -97
Sort 2, -118216, -0.5, -2 in increasing order.
-118216, -2, -0.5, 2
Put -6, -29, -243 in descending order.
-6, -29, -243
Sort -75, 31, -3.
-75, -3, 31
Sort 1, -92067, -2, 7 in ascending order.
-92067, -2, 1, 7
Put -3, 5, -16, -1/5, -1/269 in decreasing order.
5, -1/269, -1/5, -3, -16
Put -49, -72, 5 in descending order.
5, -49, -72
Put -9/8, 1/10, 5, 0, -5/6, -2 in decreasing order.
5, 1/10, 0, -5/6, -9/8, -2
Put -0.1, -2649, 0.33, -1 in ascending order.
-2649, -1, -0.1, 0.33
Sort -3, -47, -77, -4, 2, 5 in ascending order.
-77, -47, -4, -3, 2, 5
Sort 36, -3, -990 in decreasing order.
36, -3, -990
Put -3, -22, 1, -5, 103, 0 in ascending order.
-22, -5, -3, 0, 1, 103
Sort -0.07, 3, 0.2, -2/19, -352 in descending order.
3, 0.2, -0.07, -2/19, -352
Sort -3/2, -1, -0.4, 0.4, 248.7 in decreasing order.
248.7, 0.4, -0.4, -1, -3/2
Sort 17, 7, -1731.
-1731, 7, 17
Put -2442, -1/5, -4 in descending order.
-1/5, -4, -2442
Put -0.06133, 1/3, 21 in ascending order.
-0.06133, 1/3, 21
Put 6, -0.2, 1/2, -2/3, -4 in ascending order.
-4, -2/3, -0.2, 1/2, 6
Sort 3, 0, -189, -2, 7 in ascending order.
-189, -2, 0, 3, 7
Sort -1/5, 0, 2129, -43 in increasing order.
-43, -1/5, 0, 2129
Sort 3, -1636, -17, 5 in decr
|
{
"pile_set_name": "DM Mathematics"
}
|
106, 0 = -3*p + 2*g + 48. Solve 60*j + p = 58*j - 4*i, 4*j + 4*i + 8 = 0 for j.
3
Suppose -13*i = 70 - 174. Solve -3*y + 3*b = -3 - 3, -y + i = -3*b for y.
-1
Let x = -2689 - -2700. Solve 4*m + 3*c - 3 = -x, 5*m + 21 = -c for m.
-5
Let z = 3129 - 3092. Solve 0 = 7*o - 11*o - 5*a - z, 0 = -2*o + 2*a + 4 for o.
-3
Let n(t) = -4*t - 12. Let v be n(-4). Suppose v*r = 8*r - 20. Solve 0 = -5*f - r*m + 10, -f + 5*m - 7 = -3*f for f.
1
Let u(q) = -7*q**2 + 19*q + 11. Let b be u(3). Solve 2*j = b*v + 5 - 23, -2*v = 3*j + 8 for v.
2
Let z(g) = g**2 - 2*g - 10. Let s be z(-3). Solve -2*q + 3*n = n - 10, -n = 5*q + s for q.
0
Let p be 0 + 0 + (-34)/(-34) + 2. Solve p*d + 4*x = 42 - 35, 3*x = -2*d + 6 for d.
-3
Suppose -84*v + 74 = -94. Solve -3*p + v*d - 13 = -8*p, 2*p + 14 = 4*d for p.
1
Suppose -5*d + 29 = -h, 0*d = 3*d - 15. Let u(t) = 2*t**3 + 4*t**2 + 10*t + 4. Let p be u(h). Let l = 106 + p. Solve -25 = 4*m + 3*y, 3*m + y - 3 = l*y for m.
-4
Let d be 0/20*(-1 + 0). Let y be ((-3)/(-6))/((-3)/(-24)). Suppose p - 7 = -4*p + b, y*p + 5*b = 23. Solve -p*l - 5*t - 15 = d, -4*l - 2*t = -0*l + 22 for l.
-5
Let x = 240 + -232. Suppose 0*f - 4*f = -r - 19, -5*f - 4*r = -x. Solve -4*k = -12, -f*i = -2*k + 3*k + 13 for i.
-4
Suppose -4 = t - 5*l, -3*t + 4*l - 67 = -8*t. Let g = t + -3. Solve -c - 4*c = -s + 4, 3*c + g = 2*s for c.
0
Let s be ((-30)/(-8))/(81/432). Suppose -5*a - s = -i - 0, -4*a = -i + 16. Solve i = -m - 3*w + 15, 4*m - 3*w = -0*w for m.
3
Let g be (1/(-2))/(((-114)/360)/19). Suppose 4 = -g*n + 32*n. Solve -l - 2*y + 3 = 16, -n*y = -5*l - 5 for l.
-3
Suppose -84*l = -77*l - 42. Let w(s) = -2*s + 27. Let b be w(l). Solve 24 = 2*a + 3*a + 3*u, a - b = -4*u for a.
3
Let z be 21 - (48/14 + 63/(-147)). Solve -4*r - z = h, -5*h = -7*h - 4*r - 16 for h.
2
Let q = -1014 - -1016. Solve 2*o - q = 0, 4*h + 3*o - 6 = 5*h for h.
-3
Suppose -19*l - 17 = -u - 20*l, -5*l - 5 = -5*u. Solve -4*m = -f - 7, -f + 3*m = -2*m + u for f.
1
Let v be (-72)/(-42) - 10/(-35). Suppose -g + v = -0*g. Solve -g*r + 2*x = 6*x - 6, -5*r - 27 = -4*x for r.
-3
Let r = -840 + 842. Solve -3*h + 2 = -4*h - 5*t, -h + r = t for h.
3
Suppose 0 = -m - 2*p + 16, 0 = 3*m - 5*p - 57 + 75. Solve -2*y + 22*h = 25*h + 19, -m*h - 12 = 0 for y.
-5
Let n be (589/248)/((-3)/(-24)). Solve 0 = -2*c + 4*w + 10, 15*w - n*w - 14 = 2*c for c.
-1
Let d(v) = -2408*v + 16888. Let w be d(7). Solve f + 8 = -35*g + w*g, 3*g + 23 = -4*f for g.
-1
Suppose 0 = -3*r - 3*j + 33, 0*j - 2*j + 38 = 3*r. Solve -8*p - 4 = -7*p, 5*f - 4*p - r = 0 for f.
0
Let q be 0*(10 - -1)/(-44). Solve -260 = -4*h - 264, q = -4*b + 2*h + 6 for b.
1
Suppose -a + 4*r + 8 = 0, 157 = -3*a + 4*r + 165. Solve -b - 5 = 0, -2*j - 3*b - 3 - 12 = a for j.
0
Let o be (22/28 - (-12)/(-42))*24. Let p be -5*5/(-50)*o. Solve 0 = 4*l + w + 1, l = -0*w + w + p for l.
1
Let n(p) = -11*p + 246. Let k be n(21). Let i be (-3)/(-3) + 6 + k. Solve f + 5*v - i = -4, 3*v = 9 for f.
3
Let z be (3 + -2 + (-3 - 77))*-1. Suppose 0 = z*r - 86*r. Solve -5*u = 2*y - 12, -3*u - 5*y - 8 = -r*y for u.
4
Suppose 0 = -3*a - 11*y + 7*y + 28, 14 = -3*a + 2*y. Solve a = -4*p - k + 7, -p - 4*k + 10 - 27 = 0 for p.
3
Let o be (-598)/8073 + (3370/9 + -2)/6. Solve 2 = -64*k + o*k + l, -4*l = k - 17 for k.
1
Suppose x = -3*x + 16. Let d = 135 - 117. Suppose -3*q = 4*w - 23, d*q - 15*q - 19 = -2*w. Solve -j - x = -w*r, -5*j + 5*r = 4*r + 2 for j.
0
Let c(u) = 7*u + 2. Let z be c(1). Let x be (-8)/(-36) + 7/z. Let k be (x - 1)*(-8)/(-16). Solve -2*h - 2*h - 12 = -4*r, -5*r + h + 7 = k for r.
1
Suppose -17*q + 3*q + 84 = 0. Solve -4*m + 2*u = -u + q, 5*u = m + 10 for m.
0
Let j(i) = -i**2 + i. Let u be j(1). Suppose u = 3*v - 2*v - 4. Suppose 8*s - 119 = -103. Solve 2*a = h + 11, -13 = -s*a + 3*h + v for a.
4
Let h = -3937 + 3957. Solve -2*u = 4*w + 18, 4*w + 1 = -3*u - h for w.
-3
Let j be (3/(-4))/(131/(-524)). Let h = 6 + -4. Suppose h*d = j*d. Solve 4*s - 14 = -a - 0*a, 3*s - 12 = d for a.
-2
Let g(q) = 14*q**2 + q. Let o(r) = r**2 - 2*r + 2. Let d be o(1). Let k be g(d). Suppose 0 = 3*h - 8*h + k. Solve 3*n - 4*n + 6 = m, -4 = 4*n - h*m for n.
2
Let t be (13/(-13))/(1/(-43)). Let j = -39 + t. Let w = 64 + -60. Solve -j = w*r + 2*a + 6, -4*r - 1 = -a for r.
-1
Suppose 3*t - 3*i - 24 = 0, -2*t - 5*i = 3*t + 10. Suppose -5*u + t*u + 11 = -3*l, 5*l = 2*u - 13. Solve -8 = u*y + 2*k, -4*k = -y - 3*k - 8 for y.
-4
Let m(b) = -b**3 + 2*b**2 - 41*b + 3. Let z be m(0). Solve 8*p - 3*g - z = 12*p, -4*p + 4 = -4*g for p.
0
Let p be 3/(-4) - 2 - (-1)/(-4). Let b be 8/20*15 + p. Solve 0 = b*g - 4*x - 5 - 5, x = -2*g - 8 for g.
-2
Suppose -4*w + 3*w + 11 = 0. Let p be -5 + ((-98)/((-196)/(-14)) - 12/(-1)). Suppose p = -w*a + 6*a + 25. Solve 0 = -2*k + 2*t - 0*t + 16, -4*k = a*t - 5 for k.
5
Suppose 7 = 2*k - 13. Suppose 12 = 3*y + 4*a, 5*y - 3*a = -5*a + 6. Suppose 3*c + 53 - 59 = y. Solve 0*u - 5*u - 5*q - k = 0, 0 = -c*u - 3*q - 2 for u.
-4
Suppose 233*z - 487*z = -235*z - 95. Solve -5*y = z*s - 20, 45*s + 8 = -y + 47*s for y.
0
Let j be (-60)/160 - 6/(-16). Suppose -12*l + 23*l = j. Solve 5*v + 2*z = 3, -v - z + l = -3 for v.
-1
Let i(o) = 2*o**2 + 48*o + 146. Let b be i(-3). Solve 17*f - 13*f - 20 = y, 0 = 5*y + b for f.
4
Let z(y) = -4*y**3 + 2*y**2 - 1. Suppose 4*g + 14 = 10. Let t be z(g). Suppose 3*j + 4*w = t, -2*w + 0 = j - 1. Solve -s + 16 = j*v, 3*v + 2 - 19 = -2*s for s.
1
Suppose -151 = -70*a - 28*a + 633. Solve 2 = -u + 3*v + a, 0 = -u + 4*v + 7 for u.
3
Let n = -295 + 492. Suppose n = -c + 202. Solve -2*f = c*j, -6 + 19 = j + 3*f for j.
-2
Let v = -14779 + 14792. Solve v = 2*k - b, 0*k = 3*k + 2*b - 9 for k.
5
Let v be (-96 - -104)*6/16. Solve -a + 12 = 4*l - 1, 8 = v*l - a for l.
3
Suppose 14 - 182 = -7*m. Let j(v) = -v**3 + 24*v**2 + 6*v - 4. Let x be j(m). Suppose -u = 6*u - x. Solve -3*z + 2*q - 10 = -2, 0 = 3*z + 5*q - u for z.
0
Let v be (6/(-4))/((-6)/8). Suppose 2*j - 15 = -3*p, 3*p - 4*j + 5 = v. Solve 0 = 4*t + 3*k - 23, -5*t + 3*t + p*k + 7 = 0 for t.
5
Suppose 170 = 5*a - 100. Suppose a + 162 = 9*k. Let o be (k/(-9))/(-4)*3. Solve c + 13 = o*g, g = -c - 1 + 3 for c.
-3
Suppose -4*c = -8*n + 9*n - 26, n + c - 14 = 0. Suppose n*h - 2*h = 16. Solve 0 = 2*f - r - h, -4*f - 2*r + 1 = -19 for f.
3
Suppose 0*u - 8*u = 32. Let n be (9 + -1)*(-2)/u. Solve -2*s = -2*j - 4 + 12, n*s + 5*j = -7 for s.
-3
Suppose 148 = 2*p - 5*s + 10*s, -s = 2*p - 156. Let f = 83 - p. Solve 5*v + 17 = -f*r, -4*v + 2*v = -2*r - 4 for v.
-1
Suppose -138*h + 214*h = 228. Solve -h*l = -i, 5*i - 7 + 19 = 3*l for l.
-1
Let s = -8 + 8. Let m be s*(4/5 - (-26)/(-20)). Suppose m = -33*n + 27*n + 30. Solve -p + 11 = -n*k, p + 2*k + 3 = -0*k for p.
1
Let b(l) = -2*l + 27. Let f be b(10). Suppose -4*m + f*m = 6. Solve -m*q + 5*p = -23, -5 = -5*q - p + 3*p for q.
-1
Let i be 10/(-16) + 4005/712. Solve -20 = -5*q - i*k, 5*q + k + 77 = 93 for q.
3
Let y(b) = b + 28. Let z be y(8). Suppose 0 = -2*j - 2*j - z. Let a be (-47)/j - 10/45. Solve 4*t + o - 5 = 0, -18 = -a*t + 3*o + 1 for t.
2
Let f = -19 - -24. Suppose f*c = 1 + 19, -3*g + 4 = -5*c. Suppose 0*v - v + 11 = o, -2*v + g = o. Solve 4*j + 2*w + 3*w + 31 = 0, 2*j + 2*w = -o for j.
-4
Let c(q) = -q**2 + 3*q + 5. Let y be c(0). Solve -5*p = y*i - 5, -4*p - 2 = -3*i - 34 for i.
-4
Let p be ((-8)/5)/((-160)/200). Suppose 39 = p*b + 33. Solve -2*i - 1 = -3*d, -5*i + 8 = -0*d + b*d for i.
1
Suppose 5*m + 2*g = -4, 5*g - 26 = -5*m - 51. Solve -4*v = -m*w + 6, 17*w = 2*v + 13*w + 6 for v.
-1
Let o = 34210 - 34208. Solve -o*f - 4*a = 2, -45*f + 49*f = 5*a - 17 for f.
-3
Suppose -14 = 2*x + 5*x. Let z be -5 - (-51)/(-6)*x. Solve z = -2*w - 4*q, -q + 0 = -2*w + 8 for w.
2
Suppose -b - 490 = 5*g - 0*b, -5*g = 3*b + 490. Let l be ((-6)/7)/(21/g). Suppose -6*r + l*r = 8, -20 = -4*n + r. Solve 5*c - 3 - 3 = t, -n*c = -4 for t.
-1
Suppose -5*k + 69 = 59. Let g(l) = -36*l**2 + 2*l - 8. Let h be g(k). Let r = h + 151. Solve r*b - 5*m - 9 - 6 = 0, -3*b = 5*m - 15 for b.
5
Let v = 196 - 195. Suppose 5*x = 2*u - 23, 5 + v = 2*x. Solve 3*y - k - u = -0*y, y + 7 = -3*k for y.
5
Suppose 11*m - 9*m = 20. Suppose -13*o + 8*o + k + 20 = 0, 0 = -5*o - 5*k - m. Let n = -10 - -14. Solve a = -3*y + 11, 4 = -3*y - n*a + o for y.
5
Let d = 12073 + -12069. Solve 0 = -3*m - 2*s +
|
{
"pile_set_name": "DM Mathematics"
}
|
earest 10000?
40000
Round -0.0101462497 to 6 dps.
-0.010146
Round -372676.1386 to the nearest 10000.
-370000
What is -0.00310780187 rounded to 4 dps?
-0.0031
What is 33.444525 rounded to two dps?
33.44
What is -0.01549989402 rounded to 4 decimal places?
-0.0155
Round 89.57953479 to the nearest integer.
90
Round -0.000249776209 to six dps.
-0.00025
What is 0.0000011604267649 rounded to seven decimal places?
0.0000012
Round 11930.3121 to 0 decimal places.
11930
Round -0.057224845 to 4 decimal places.
-0.0572
Round 0.5527524441 to one decimal place.
0.6
Round -0.41468957 to 5 dps.
-0.41469
Round -2842.793415 to the nearest one hundred.
-2800
Round 0.001097771962 to four dps.
0.0011
Round 134431.97 to the nearest 100.
134400
Round -35.665733 to two decimal places.
-35.67
Round -112965920 to the nearest one hundred thousand.
-113000000
What is 23.540100055 rounded to four decimal places?
23.5401
Round 0.6902073969 to 1 dp.
0.7
Round -39738956.5 to the nearest one thousand.
-39739000
Round 70849.21 to the nearest 100000.
100000
Round -150.260271 to two decimal places.
-150.26
What is -2473246.48 rounded to the nearest 100?
-2473200
Round -0.000820460511 to seven decimal places.
-0.0008205
What is -34293.8706 rounded to zero decimal places?
-34294
What is 0.2448816044 rounded to 4 decimal places?
0.2449
Round 0.221918027 to four decimal places.
0.2219
Round -69345.3732 to the nearest one hundred.
-69300
Round 171512.5264 to the nearest 100.
171500
What is -7120489.79 rounded to the nearest 1000000?
-7000000
Round 87.90427998 to one dp.
87.9
Round 10433545.05 to the nearest one thousand.
10434000
Round -87.6198255 to 0 dps.
-88
What is -3361360770 rounded to the nearest 1000000?
-3361000000
Round -23.6266422 to 3 dps.
-23.627
Round 0.02988408485 to 5 decimal places.
0.02988
Round -220.41932 to the nearest integer.
-220
Round 40173856 to the nearest one million.
40000000
Round -1.04791567 to 2 dps.
-1.05
Round 1853635.6 to the nearest 100000.
1900000
Round 47110147.36 to the nearest ten thousand.
47110000
Round 0.104695651 to 3 decimal places.
0.105
Round -0.00093714887 to four dps.
-0.0009
What is 0.2061154842 rounded to 4 dps?
0.2061
Round 10524002260 to the nearest 100000.
10524000000
Round -64435344.8 to the nearest 100000.
-64400000
What is -0.0009628005183 rounded to six dps?
-0.000963
What is -655.3151655 rounded to the nearest one hundred?
-700
Round -10626221.57 to the nearest 1000000.
-11000000
What is -603.29376 rounded to the nearest 10?
-600
What is 40658.963 rounded to the nearest one thousand?
41000
Round -0.0000034163988 to seven decimal places.
-0.0000034
Round 0.00000042068883 to 7 dps.
0.0000004
What is -0.624923737 rounded to one dp?
-0.6
What is 342.5581911 rounded to 2 decimal places?
342.56
What is 0.2179394735 rounded to 4 dps?
0.2179
Round -51.861113 to 1 dp.
-51.9
What is 0.0000365677009 rounded to seven decimal places?
0.0000366
Round 869266985 to the nearest one million.
869000000
What is -0.01825410283 rounded to five dps?
-0.01825
Round 0.00103675283 to four decimal places.
0.001
Round -775068344.4 to the nearest ten thousand.
-775070000
Round -156266.2141 to the nearest 100.
-156300
Round -10649.946269 to one decimal place.
-10649.9
What is -10528006.45 rounded to the nearest one hundred?
-10528000
What is 0.00131356832 rounded to four dps?
0.0013
Round -793218.6373 to the nearest one thousand.
-793000
What is 0.535589111 rounded to 2 decimal places?
0.54
What is 1758.588845 rounded to the nearest 10?
1760
Round -8.86953819 to two decimal places.
-8.87
What is -1940.201 rounded to the nearest integer?
-1940
Round -1434.898699 to the nearest one hundred.
-1400
Round -1.860961514 to 3 dps.
-1.861
What is 0.598300399 rounded to five dps?
0.5983
What is 2.3628512 rounded to the nearest ten?
0
Round -6903060.288 to the nearest ten thousand.
-6900000
Round -4.2323396 to 0 decimal places.
-4
Round -36493.6692 to 0 decimal places.
-36494
What is 37.520669 rounded to the nearest integer?
38
Round -45.15056593 to the nearest integer.
-45
Round 0.00000054232797 to seven dps.
0.0000005
Round -12365893.8 to the nearest 1000000.
-12000000
What is 1.7052096957 rounded to 5 dps?
1.70521
Round -0.002031909469 to 7 decimal places.
-0.0020319
What is -0.0000009482854167 rounded to 7 dps?
-0.0000009
What is 0.0249378773 rounded to six decimal places?
0.024938
Round -75.32303945 to zero dps.
-75
What is -0.01336731551 rounded to 5 decimal places?
-0.01337
What is -162072.46122 rounded to the nearest 10000?
-160000
What is 0.0462498171 rounded to two decimal places?
0.05
Round -8881.98692 to 0 decimal places.
-8882
What is -0.528521459 rounded to four dps?
-0.5285
What is -0.0295346138 rounded to six decimal places?
-0.029535
What is 0.00000048670454 rounded to seven dps?
0.0000005
What is 5852838.2 rounded to the nearest one thousand?
5853000
Round -0.00428595643 to three decimal places.
-0.004
Round 11288.6315 to the nearest one thousand.
11000
What is 0.0224767989 rounded to four dps?
0.0225
What is -40.966949 rounded to one decimal place?
-41
Round 0.00000160558443 to 7 decimal places.
0.0000016
What is -0.001971508196 rounded to five dps?
-0.00197
What is 10.376254641 rounded to 2 dps?
10.38
Round -0.00619851684 to 7 dps.
-0.0061985
What is -4.064606617 rounded to the nearest integer?
-4
Round 0.0001620757405 to 4 dps.
0.0002
What is 0.00005346764799 rounded to six decimal places?
0.000053
Round -985529.28 to the nearest one hundred thousand.
-1000000
Round 1238811339 to the nearest 1000000.
1239000000
Round -0.000067421893 to 7 dps.
-0.0000674
What is 0.49469428 rounded to 4 decimal places?
0.4947
Round -1502197.4 to the nearest 1000.
-1502000
Round -18032933000 to the nearest 1000000.
-18033000000
What is -48904.5677 rounded to the nearest one thousand?
-49000
What is -12.645991227 rounded to 4 decimal places?
-12.646
Round -6.310057 to zero dps.
-6
What is -0.0484820072 rounded to five dps?
-0.04848
What is 0.000000474881501 rounded to 7 decimal places?
0.0000005
Round -3772.67962 to 1 dp.
-3772.7
What is -27153477.4 rounded to the nearest 100000?
-27200000
What is 1843.22138 rounded to the nearest ten?
1840
What is 2.9062823 rounded to one dp?
2.9
Round 0.001882400673 to six dps.
0.001882
Round 22579070.2 to the nearest one million.
23000000
Round 166.0030578 to the nearest ten.
170
Round 137550.6328 to the nearest 100.
137600
What is -6.405660425 rounded to the nearest integer?
-6
What is 401351.4301 rounded to the nearest one thousand?
401000
Round -1219656.341 to the nearest one hundred.
-1219700
Round -7170791.13 to the nearest one thousand.
-7171000
Round 165.5539277 to one decimal place.
165.6
Round -0.9169208 to one decimal place.
-0.9
Round -0.000003677520883 to 7 dps.
-0.0000037
Round -0.0016383867 to 3 decimal places.
-0.002
What is 84.71273 rounded to the nearest 10?
80
What is -37602.3436 rounded to the nearest ten thousand?
-40000
Round 207.3704552 to the nearest integer.
207
What is -577.14853 rounded to the nearest one hundred?
-600
Round 2847046.5 to the nearest one hundred.
2847000
Round 698657 to the nearest one hundred thousand.
700000
Round 1.447856481 to three dps.
1.448
Round -15828.5407 to the nearest integer.
-15829
What is -3306.4984 rounded to the nearest 10?
-3310
What is 0.000800107877 rounded to six decimal places?
0.0008
Round 25476153.6 to the nearest one hundred thousand.
25500000
Round 0.0200487632 to three decimal places.
0.02
Round -1083200.958 to the nearest one hundred thousand.
-1100000
What is -0.00539907356 rounded to four decimal places?
-0.0054
What is 57.396565 rounded to the nearest 10?
60
What is 2.71807369 rounded to 0 decimal places?
3
What is -3.00338924 rounded to two dps?
-3
Round -0.34412878 to 3 dps.
-0.344
What is -0.0288557421 rounded to 6 decimal places?
-0.028856
What is 53.08877 rounded to zero dps?
53
Round 0.000048266433 to seven decimal places.
0.0000483
Round -0.00365194448 to four dps.
-0.0037
What is -345487367 rounded to the nearest 10000?
-345490000
Round 9951572.88 to the nearest one thousand.
9952000
Round -1336414450 to the nearest 1000000.
-1336000000
What is 0.304636971 rounded to three decimal places?
0.305
What is -942944.98 rounded to the nearest one thousan
|
{
"pile_set_name": "DM Mathematics"
}
|
3*(j + 1)*(j + 84983)/8
Let 27*l**5/8 - 93*l**4/8 - 393*l**3/8 + 1689*l**2/8 - 207*l/4 - 297 = 0. What is l?
-4, -1, 22/9, 3
Factor -2*k**4 - 78*k**3 - 356*k**2 - 552*k - 272.
-2*(k + 1)*(k + 2)**2*(k + 34)
Solve -5*m**2/2 - 3695*m/2 - 213070 = 0.
-596, -143
Suppose 4*j**4/3 + 2738*j**3/9 + 156356*j**2/9 + 4712*j/3 - 75088 = 0. What is j?
-114, -13/6, 2
Find q such that -2*q**5/7 - 962*q**4/7 - 1916*q**3/7 + 4*q**2/7 + 274*q + 958/7 = 0.
-479, -1, 1
Factor 22*v**3/15 + 246178*v**2/15 + 45911078*v - 4173870.
2*(v + 5595)**2*(11*v - 1)/15
Solve -3*q**5 - 102*q**4 + 885*q**3 + 6600*q**2 = 0 for q.
-40, -5, 0, 11
Factor 37*c**3 + 24607*c**2 - 23312*c - 1332.
(c - 1)*(c + 666)*(37*c + 2)
Suppose 15*n**5 + 6665*n**4 + 1755*n**3 - 207065*n**2 - 268770*n - 66600 = 0. Calculate n.
-444, -5, -1, -1/3, 6
Find x, given that -2*x**2 + 1824*x - 5454 = 0.
3, 909
Solve -54*u**5 + 70563*u**4 - 23077026*u**3 + 16637787*u**2 - 2558454*u = 0 for u.
0, 2/9, 1/2, 653
Suppose -4*m**5 + 756*m**4 - 11280*m**3 - 71024*m**2 - 90816*m = 0. What is m?
-3, -2, 0, 22, 172
Suppose -5*o**4 - 635*o**3 - 9315*o**2 + 729575*o - 2727340 = 0. Calculate o.
-77, 4, 23
Let -2*n**5/7 + 2*n**4/7 + 50*n**3/7 + 10*n**2 - 48*n/7 - 72/7 = 0. What is n?
-3, -2, -1, 1, 6
Solve 12*p**4/5 - 3932*p**3/5 + 13344*p**2 - 310576*p/5 + 35712 = 0 for p.
2/3, 8, 9, 310
Let -y**3 - 665*y**2 - 14742*y + 15408 = 0. What is y?
-642, -24, 1
Factor -2*f**2/11 - 5978*f/11 - 11948/11.
-2*(f + 2)*(f + 2987)/11
Determine t, given that 5*t**4 - 9980*t**3 + 29910*t**2 - 29900*t + 9965 = 0.
1, 1993
Factor -5*b**3 - 2005*b**2 + 161810*b - 159800.
-5*(b - 68)*(b - 1)*(b + 470)
Determine j so that -5*j**2 - 369450*j = 0.
-73890, 0
Suppose -2*i**3/17 - 98*i**2/17 - 1028*i/17 - 1680/17 = 0. Calculate i.
-35, -12, -2
Factor 5*s**2 - 1190*s + 2360.
5*(s - 236)*(s - 2)
Factor -3*i**3/2 - 70539*i**2 - 829362288*i - 1658442432.
-3*(i + 2)*(i + 23512)**2/2
Find g, given that 4*g**5 - 76*g**4 - 36*g**3 + 668*g**2 + 352*g - 912 = 0.
-2, 1, 3, 19
Solve y**4/5 + 569*y**3/5 + 3381*y**2/5 + 1679*y/5 - 1126 = 0.
-563, -5, -2, 1
Find i such that -4*i**5/3 + 676*i**4/3 - 28748*i**3/3 + 3500*i**2/3 + 340256*i + 329280 = 0.
-5, -1, 7, 84
Solve 2*z**2/7 - 192*z + 37294/7 = 0.
29, 643
Suppose -4*c**3/3 - 471664*c**2/3 + 943340*c/3 - 157224 = 0. What is c?
-117918, 1
Factor m**4 - 804*m**3 - 3312*m**2 + 64832*m - 155136.
(m - 808)*(m - 4)**2*(m + 12)
Factor o**3/6 - 9*o**2/2 + 37*o - 280/3.
(o - 14)*(o - 8)*(o - 5)/6
Factor -p**2/2 + 34*p + 1600.
-(p - 100)*(p + 32)/2
Factor 2*r**3/9 + 44*r**2 - 9062*r/3 - 145580/9.
2*(r - 58)*(r + 5)*(r + 251)/9
What is n in -n**4/8 - n**3/4 + 623*n**2/8 - 735*n/2 = 0?
-28, 0, 5, 21
What is h in -2*h**2/21 - 856*h/21 + 1720/21 = 0?
-430, 2
Factor -7*f**4 - 3932*f**3 - 18371*f**2 + 5570*f.
-f*(f + 5)*(f + 557)*(7*f - 2)
Factor -z**5 - 903*z**4 + 3622*z**3 - 5438*z**2 + 3627*z - 907.
-(z - 1)**4*(z + 907)
Find p, given that p**4/8 - 2319*p**3/4 + 6124221*p**2/8 - 432760185*p/2 + 34825158225/2 = 0.
174, 2145
Factor z**2/2 + 12463*z/2 + 24918.
(z + 4)*(z + 12459)/2
Find m, given that -183*m**4 + 6042*m**3 - 99*m**2 = 0.
0, 1/61, 33
Solve -3*k**3/4 + 345*k**2/4 - 957*k/2 - 1308 = 0 for k.
-2, 8, 109
Factor k**2 + 621*k - 27846.
(k - 42)*(k + 663)
Factor -g**4/5 - 152*g**3/5 + 781*g**2/5 - 628*g/5.
-g*(g - 4)*(g - 1)*(g + 157)/5
Factor -3*x**2 - 723*x - 14454.
-3*(x + 22)*(x + 219)
Factor -x**2 + 246*x + 12760.
-(x - 290)*(x + 44)
Determine i so that -13*i**4/3 - 739*i**3/3 - 10481*i**2/3 - 8237*i/3 + 506 = 0.
-33, -23, -1, 2/13
Factor -4*o**3 + 384*o**2 - 2516*o + 2136.
-4*(o - 89)*(o - 6)*(o - 1)
Factor 4*g**2 + 39444*g + 3401352.
4*(g + 87)*(g + 9774)
Determine b, given that b**4/4 + 75*b**3/4 - 231*b**2/4 + 233*b/4 - 39/2 = 0.
-78, 1
Let -3*q**2 + 25764*q - 308736 = 0. What is q?
12, 8576
Find i such that -3*i**4 - 3288*i**3 - 6561*i**2 + 3288*i + 6564 = 0.
-1094, -2, -1, 1
Factor c**4/5 - 366*c**3/5 - 75*c**2 + 2924*c/5 + 4404/5.
(c - 367)*(c - 3)*(c + 2)**2/5
Factor 2*w**2/13 + 6486308*w/13 + 5259023933858/13.
2*(w + 1621577)**2/13
Factor 3*j**2/2 + 78*j - 10080.
3*(j - 60)*(j + 112)/2
Factor 3*p**2/4 - 17625*p + 103546875.
3*(p - 11750)**2/4
What is u in -u**5 - 112*u**4 - 324*u**3 + 334*u**2 + 757*u - 654 = 0?
-109, -3, -2, 1
Factor -h**2/7 - 478*h/7 - 928.
-(h + 14)*(h + 464)/7
Solve f**5/10 + 34729*f**4/10 + 13891*f**3/2 + 34727*f**2/10 = 0.
-34727, -1, 0
Find a, given that 432*a**4 + 17964*a**3 - 26556*a**2 - 10341*a - 903 = 0.
-43, -1/6, 7/4
Factor -4*q**2 - 54100*q - 162264.
-4*(q + 3)*(q + 13522)
Find j such that -3*j**2/8 - 825*j/4 + 1653/8 = 0.
-551, 1
Find r, given that r**5 - 623*r**4 + 127715*r**3 - 8540845*r**2 - 17988216*r + 26401968 = 0.
-3, 1, 188, 249
What is f in -f**2/6 + 46127*f/2 - 69190/3 = 0?
1, 138380
Factor 4*v**2 + 3588*v - 47320.
4*(v - 13)*(v + 910)
Solve p**2/4 + 1305*p/2 - 28831/4 = 0.
-2621, 11
Determine b so that 5*b**4 - 3*b**3 - 1222*b**2 - 2868*b - 952 = 0.
-14, -2, -2/5, 17
Find g such that 5*g**3 + 59520*g**2 + 59505*g - 119030 = 0.
-11903, -2, 1
Determine a so that -3*a**2/2 + 1644*a - 48645/2 = 0.
15, 1081
Let 30*n**2 + 6835*n + 19125 = 0. Calculate n.
-225, -17/6
Suppose -3*m**3/2 - 33123*m**2/2 + 132531*m/2 - 99405/2 = 0. Calculate m.
-11045, 1, 3
Factor 13520*u**3 + 1040520*u**2 - 40035*u + 385.
5*(u + 77)*(52*u - 1)**2
Factor -10*u**4 + 1595*u**3 + 800*u**2.
-5*u**2*(u - 160)*(2*u + 1)
Suppose 3*j**4/2 - 1326369*j**3/4 + 97736594625*j**2/4 - 2400671394687939*j/4 + 1200311263361109/4 = 0. Calculate j.
1/2, 73687
Find y, given that y**5/2 + 151*y**4 - 3135*y**3 - 27586*y**2 - 90331*y/2 - 20865 = 0.
-321, -5, -1, 26
Factor 5*j**4 + 575*j**3 + 15340*j**2 - 68420*j + 70800.
5*(j - 2)**2*(j + 59)*(j + 60)
Factor y**2/2 - 789*y/2 - 1188.
(y - 792)*(y + 3)/2
Factor -3*s**3 - 399*s**2 - 1176*s - 780.
-3*(s + 1)*(s + 2)*(s + 130)
Factor b**2 - 50004*b + 625100004.
(b - 25002)**2
Determine f so that 2*f**3/3 + 12466*f**2/3 + 24926*f/3 + 4154 = 0.
-6231, -1
Factor -4*k**2 - 911240*k.
-4*k*(k + 227810)
Factor 3*r**3 - 2901*r**2 - 32244*r - 29340.
3*(r - 978)*(r + 1)*(r + 10)
Solve -7225*s**5/11 - 262378*s**4/11 + 67246*s**3 - 650148*s**2/11 + 162495*s/11 + 17550/11 = 0.
-39, -2/25, 15/17, 1
Suppose -5*k**5 + 133135*k**4 + 133155*k**3 - 399395*k**2 - 665690*k - 266280 = 0. What is k?
-1, 2, 26628
Find h, given that -14*h**2/5 + 7554*h + 16200 = 0.
-15/7, 2700
Suppose -3742*a**2/9 - 11234*a/9 - 8/3 = 0. Calculate a.
-3, -4/1871
Determine v so that 4*v**4 - 86188*v**3 + 464057608*v**2 + 2323650432*v - 6502841856 = 0.
-7, 2, 10776
Suppose -102*v**3/5 - 9816*v**2/5 - 212826*v/5 - 203112/5 = 0. What is v?
-1092/17, -31, -1
Factor -3*u**3/8 - 17301*u**2/8 + 17307*u/4.
-3*u*(u - 2)*(u + 5769)/8
Suppose y**4/5 + 638*y**3 - 2559*y**2 - 12140*y - 44716/5 = 0. What is y?
-3194, -2, -1, 7
Factor 2*q**2 - 1636570*q - 1636572.
2*(q - 818286)*(q + 1)
Let 4*v**5 - 44*v**4 - 464*v**3 - 720*v**2 = 0. Calculate v.
-5, -2, 0, 18
Let -3*x**5/2 + 69*x**4/2 + 867*x**3 - 21669*x**2 + 81213*x/2 - 39675/2 = 0. What is x?
-25, 1, 23
What is m in 3*m**4/2 - 186861*m**3/2 - 1121247*m**2/2 - 1681911*m/2 = 0?
-3, 0, 62293
Factor -3*x**2 - 56835*x - 56832.
-3*(x + 1)*(x + 18944)
Solve 580*h**4/7 - 316*h**3/7 - 540*h**2/7 + 316*h/7 - 40/7 = 0 for h.
-1, 1/5, 10/29, 1
Factor p**5/5 - 3176*p**4/5 + 2528084*p**3/5 - 10061584*p**2/5.
p**2*(p - 1586)**2*(p - 4)/5
Factor -t**3 + 2496*t**2 - 4988*t.
-t*(t - 2494)*(t - 2)
Suppose -2*o**2 + 3226*o + 98580 = 0. Calculate o.
-30, 1643
Factor z**3/2 - 27*z**2 - 1327*z/2 - 2190.
(z - 73)*(z + 4)*(z + 15)/2
Factor j**4/2 + 69*j**3/2 - 339*j**2 + 928*j - 624.
(j - 4)**2*(j - 1)*(j + 78)/2
Factor 2*w**3/5 - 68*w**2 - 3962*w/5 - 724.
2*(w - 181)*(w + 1)*(w + 10)/5
Suppose -6*x**4/7 - 674*x**3 + 31642*x**2/7 - 61818*x/7 + 28548/7 = 0. Calculate x.
-793, 2/3, 3
Suppose -85008*g**3 + 170092*g**2 - 85160*g + 76 = 0. Calculate g.
19/21252, 1
Factor -o**2 + 118336*o.
-o*(o - 118336)
Factor b**2/2 + 107*b/2 + 1200.
(b + 32)*(b + 75)/2
Factor 3*z**4 + 6546*z**3 + 3577383*z**2 + 7135140*z + 3564300.
3*(z + 1)**2*(z + 1090)**2
Find x, given that 5*x**4 + 13610*x**3 + 81535*x**2 + 149410*x + 81480 = 0.
-2716, -3, -2, -1
Find l such that -2*l**5/3 + 39*l**4/2 - 529*l**3/6 - 1613*
|
{
"pile_set_name": "DM Mathematics"
}
|
Let s(j) = -j**2 + 6*j + 8. Let p be s(7). Which is the nearest to p? (a) -3 (b) 4 (c) z
c
Let d be ((-20)/16)/(5/(-2)). Let f = -0.1 - -0.08. Let g = f - -0.02. Which is the nearest to g? (a) -2 (b) d (c) 2/17
c
Let d be 2*(2 + 14/(-6)). Suppose -49*q = -45*q - 36. Let x = -43/5 + q. Which is the nearest to 0.1? (a) 3 (b) d (c) x
c
Let p = -563/2 - -284. Which is the closest to 4? (a) p (b) 5 (c) 5.6
b
Let a = -2 - -2.2. Let j be ((-6)/2)/(-1) + 24/(-4). What is the nearest to 2/13 in 3, a, j?
a
Let u = 42 - 41.91. Let a = u - -0.11. What is the nearest to -0.1 in a, 2, -2/13?
-2/13
Let d = -0.33 + 3.83. Let n = d - 7.5. Which is the nearest to 0.1? (a) -3 (b) n (c) -5
a
Suppose -4*t + 0*t = 2*y - 34, -y - 3*t = -22. Which is the closest to 0? (a) 0.2 (b) y (c) -0.05
c
Let i = 39 - 38.9. Let m = -0.1 - 0.1. Let o = m + 5.2. What is the closest to i in o, 3, 2?
2
Let f = 1.5 - 1. Suppose -i + 5*i - i = 0. Suppose i = -4*w - 8. Which is the closest to 2? (a) w (b) f (c) -3
b
Let x = 204 + -203. Which is the nearest to x? (a) -0.55 (b) 2 (c) 3
b
Let c = -1.65 - -1.9. Let a = c - -1.75. What is the nearest to a in 3, 2, -0.4?
2
Let h = 6.753 + 0.147. Let t = 7 - h. Which is the nearest to t? (a) 0.1 (b) -2/17 (c) 32
a
Suppose 4*k = r + 141 - 39, -r = -3*k + 100. Which is the closest to 0.1? (a) r (b) 1/3 (c) -0.4 (d) 2
b
Let p = 191 - 191.1. Which is the closest to -3? (a) p (b) 2 (c) -4
c
Suppose -3*m + 90*k - 91*k = -13, -20 = -4*m - 2*k. What is the nearest to -8 in -5, -2/31, m, -2/15?
-5
Let z = 8.26 + -8.16. What is the nearest to z in -5, 0.06, -1, 2?
0.06
Let s = 0.0453 + -268.0453. Let h = 253.1 + s. Let m = h - -15. What is the nearest to 1/3 in m, 2, 3?
m
Suppose 0 = y - 5*x + x - 15, 0 = -3*y - x - 7. Let j be (5/(-75))/((-4)/10). What is the nearest to y in -10, j, -0.5?
-0.5
Let g = -3/5 + -3/20. Which is the nearest to 0.1? (a) g (b) -3/13 (c) -3
b
Let o = 16.5 + 85.7. Let d = o - 102. Which is the closest to 1? (a) d (b) -2/13 (c) -1
a
Let k = -1059 + 1058.2. Let n = -3.5 - -3. Let q be (2 - (-3)/(-2))/(-2). What is the nearest to k in n, 5, q?
n
Suppose 2*h = -4*n - 0 + 8, 3*h - 5 = n. Let l = -3 + 8. Suppose -5 = -5*x + l*i, x - i - 1 = 2*i. What is the closest to x in n, 0.3, -4?
n
Let d = 2 + -2.04. Let s = -1.55 + 0.55. Which is the closest to s? (a) d (b) 0 (c) 1/4
a
Let f = 23 + -22.949. Let k = -0.809 - f. Let u = k - 0.14. What is the nearest to 0.1 in 0.3, u, -5?
0.3
Let i be 3/(-45)*(13 - 11). What is the nearest to 1 in 1/4, -0.3, 15, i?
1/4
Let v(h) = -h - 9. Let m be v(-22). What is the nearest to m in -2/5, -0.2, 4?
4
Let c = -43.12 - -0.12. Let z = c - -39. What is the nearest to -0.1 in -0.06, z, 0.2?
-0.06
Let r = -6 + 11. Let g = 0.27 + 18.73. Let q = 18 - g. Which is the nearest to q? (a) 3 (b) -2 (c) r
b
Let g = -28.6 + 29.6. Which is the closest to -0.1? (a) 0 (b) g (c) -1
a
Let v = -118 - -123. What is the nearest to -2 in -2, -4, v?
-2
Let w = 291/10 - 29. Let p = -65.9 - -66. Which is the closest to p? (a) 0 (b) w (c) -5
b
Let d be 2/6 + 525/(-9585). Let k = d - 4/71. Suppose -u + 20 - 7 = -2*v, -2*u + 2*v + 18 = 0. Which is the nearest to k? (a) 3/2 (b) -2/7 (c) u
b
Let h(x) = -x**3 + 7*x**2 - 79*x + 557. Let z be h(7). Let j = -1 + 0. Let g = -2 - j. Which is the closest to g? (a) 0.3 (b) z (c) 1
a
Let p be 0*1/(-2)*(1 + 0). Let j = -0.043 - -0.013. What is the closest to 1/3 in p, -0.5, j?
p
Let y be -3*(-12 + (-2794)/(-231)). Which is the nearest to 2? (a) 8/49 (b) 1 (c) y (d) -0.5
b
Let i = -353 + 345. Which is the nearest to 2? (a) 1/7 (b) -1/5 (c) -5 (d) i
a
Let x = -831/5 - -833/5. What is the nearest to x in -0.08, 0.2, -2, 0.3?
0.3
Let r = -4 + 3.7. Let g = 0.42 + -0.02. Let f = -5.4 + g. Which is the closest to f? (a) r (b) -3/5 (c) -5
c
Let u = -0.1607 + -0.0393. What is the closest to u in 2/3, -0.5, -21, -0.1?
-0.1
Let b = -0.6 - -0.1. Let a = -1971 - -1972. Let m = 1584/13 + -122. What is the closest to a in b, 2/7, m?
2/7
Let t = -73 - -75. Let f be 3/(-6) + (-34)/(-52). Let v = -3 + 2. Which is the closest to v? (a) t (b) 4 (c) f
c
Let d = -20 - -22. What is the closest to -1 in d, 5, 0.5?
0.5
Let i = -1387 + 18033/13. What is the closest to -1/3 in 3, i, -1/4, -5?
-1/4
Suppose 2*v + 3*l + 14 = 0, 5*l + 20 = -4*v + l. Let d(p) = -20*p + 183. Let t be d(9). Which is the nearest to 1/3? (a) -0.4 (b) v (c) t
a
Let i = -7 + -20. Let q = i + 26.6. Let v = -10.5 - -10. What is the nearest to 0 in q, v, 0?
0
Let d(w) = -5*w - 5*w + 9*w + 8. Let u be d(7). Let l = u + -3. Which is the nearest to 1/3? (a) 0.2 (b) l (c) -0.1
a
Let v = 12 - 12.08. Let w = v - -0.18. Let u = 5/6 + -1/3. Which is the closest to u? (a) -2/7 (b) w (c) 0.5
c
Let y(f) = -2*f - 18. Let z be y(-11). Let s be 18/42*z/6. Which is the closest to s? (a) 5 (b) 2/7 (c) 9
b
Let z(a) = 2*a**2 - 11*a + 10. Suppose -4*o - 2*y + 24 = 0, -y + 16 = -o + 4*y. Let w be z(o). What is the nearest to -0.1 in 0.1, -3, w?
0.1
Let r = -759 + 758.5. Which is the nearest to 0.1? (a) 5 (b) r (c) 73
b
Let y be (-5)/10*28/77. Which is the nearest to -2? (a) -4/3 (b) y (c) 0.4 (d) -0.1
a
Let p(n) = n**3 + 5*n**2 + 3*n - 2. Let m be p(-3). Let x = 80.6 - 81. Which is the nearest to m? (a) 2 (b) 0 (c) x
a
Suppose 28 = -w + 4*d - 9*d, 3*d = -w - 18. Let t be (-102)/27 + (w - -7). What is the closest to 0.1 in 2/5, -2/9, t?
t
Let a be 36/90 - (-384)/(-760). Let i = -4 + 6. What is the closest to 2/7 in i, 4/7, a?
4/7
Let z = -0.2 + 0.1. Let a = 0.16 - -0.84. Let x = 2 + a. What is the closest to z in x, 3/7, -5?
3/7
Let m be (1/5)/(45/150). Which is the closest to m? (a) 4/5 (b) -0.03 (c) -1/29
a
Let d be 20/11 + -4 + 2. Suppose 14 - 6 = 2*o + 6. Which is the closest to -2/5? (a) d (b) o (c) -0.3
c
Let m be ((-6)/8)/(13/(-156)). Let b be -3 + 5/(-1) + m. What is the closest to b in -2, -0.1, 12?
-0.1
Let u = 0.28 + 0.02. Let g = 166 + -165. What is the closest to 1/4 in u, -2/5, g?
u
Let l = -0.012 - -3.012. Let r = -2.6 - 0.4. Let k = r + l. What is the closest to k in -3, -5, -4?
-3
Let w = 2615/13 + -201. Let u(h) = -h**2 + 9*h - 3. Let x be u(8). Let i be 4/x + (-3)/5. Which is the closest to i? (a) -2/5 (b) 2 (c) w
c
Let k = -129.6 + 129.3. Let b be 121/78 - (3 - 2). Let u = 3/26 + b. What is the nearest to k in u, 0, 0.5?
0
Let z = 1.12 - 1.52. What is the closest to 2/3 in z, -0.3, 0.67?
0.67
Let v = 73.06 + -73. What is the closest to -9 in v, -0.3, -1?
-1
Let f = 53/141 + -2/47. Suppose 5 - 25 = -4*y. Which is the nearest to f? (a) -1 (b) y (c) 1/4
c
Let i = -0.169 - -0.129. Which is the closest to -0.2? (a) 0.5 (b) -1 (c) i
c
Let o = -239 + 238. Which is the nearest to 1/2? (a) 0.2 (b) o (c) 0.1
a
Let u be (-1)/(-4)*(-112)/(-182). Let m = -5.6 + 6. Let x = 0.02 - 0.22. What is the closest to x in -2/5, u, m?
-2/5
Let d be (-2 - (-36)/15)/((-7)/105). What is the closest to 1/3 in 0, d, 1/8, -6/7?
1/8
Let k = 0.13 + -1.13. Which is the nearest to k? (a) -0.1 (b) -0.02 (c) -0.6
c
Let f = -48.11 + 0.11. Let v = f - -47. Which is the nearest to v? (a) -2/3 (b) 0.5 (c) 4/3
a
Let x = 185 + -182. Which is the closest to -5? (a) -1 (b) x (c) 0.1
a
Suppose z + 2*j = -6, 5*z + 10 = 5*j - 20. Let o(v) = -v - 7. Let s be o(z). Let i = 3.01 + -0.01. What is the nearest to s in 0, -1, i?
-1
Let j be ((-1)/(-5))/((-210)/(-150)). What is the closest to 27 in j, -0.2, 4/9, 5?
5
Let f be ((-2)/(-25))/((-19)/3990). Let k = -578/35 - f. Which is the nearest to k? (a) -1 (b) 1/3 (c) 2
b
Let s be 5 + -4 - ((-3 - -3) + -2). Suppose s*j - 10 - 2 = 0. What is the nearest to 1 in 1/6, 0.4, j?
0.4
Let n = 3.94 - -0.06. Let f = 247 - 246.9. Let q = 1/28 + -15/28. What is the closest to f in -3, n, q?
q
Let a be (43824/(-1600))/(-33) - 2/25. What is the closest to 5/4 in 3, -0.2, a?
a
Let l = -593 - -595. Let w(z) = 2*z - 1. Let q be w(1). Which is the nearest to q? (a) l (b) -4 (c) -1
a
Let j = 0.199 - -1.781. Let c = j + 0.02. What is the closest to 0 in -6, 2/13, c?
2/13
Let n = -12.51 + 0.51. Let w = n + 17. What is the nearest to -0.1 in -0.4, -4, w?
-0.4
Let b be -3 - ((-24)/(-32))/(6/(-22)). Let q = -4 - -9. What is the closest to b in -
|
{
"pile_set_name": "DM Mathematics"
}
|
ivide x?
False
Suppose 2*z = z + 8. Is z a multiple of 2?
True
Suppose 154 = 3*f - 0*f + 5*q, -2*q - 182 = -3*f. Does 5 divide f?
False
Is 15 a factor of -4 + 1647/18*16/6?
True
Let w = 8 + -2. Let n be -1 + 3/(w/280). Let u = n + -77. Is 21 a factor of u?
False
Suppose 5*q - 49 - 276 = 0. Is q a multiple of 12?
False
Is 14 a factor of (1 - (2 + 27))*125/(-50)?
True
Let z = 3 + -13. Does 6 divide 1 - (-3 + 2 + z)?
True
Suppose o - 2*d + 6 = 0, o - d + 3 = -o. Suppose 4*h = -2*m + 22, 2*m - 8 = -0*m + 3*h. Let s = m + o. Is s a multiple of 3?
False
Let t be ((-2)/(-6) + -1)*-3. Let n be (-3)/6 + 130/4. Suppose t*m + 7 = 5*w - 21, -5*m = -3*w + n. Is w a multiple of 3?
False
Let b be (-5)/(-2) - (-2)/(-4). Suppose 4*t = b*t + 8. Is t a multiple of 3?
False
Suppose j - 96 = 3*j. Let c = 67 + j. Is c a multiple of 6?
False
Let x = 55 + -26. Does 12 divide x?
False
Is 2 - (-17)/(85/150) a multiple of 6?
False
Suppose 0 = 3*o - 9, -2*o - 1 - 5 = -4*v. Suppose d - 28 = -v*d. Is 3 a factor of d?
False
Let j(n) = 3*n**2 - 3 + 0*n**2 + 2*n**2 + n - 3*n**2. Let z be j(-4). Does 14 divide 1/5 - (-945)/z?
False
Let d be 4/14 - (-2300)/(-14). Let b = d - -230. Suppose 2*m - 2*h = 4*m - 34, 0 = 4*m + 5*h - b. Is 18 a factor of m?
False
Let u(c) = 44*c**2 - 4*c - 3. Let j be u(-2). Let l = j + -653. Is (-2)/(-3) - l/12 a multiple of 15?
False
Let v(l) = l**2 - 7*l - 3. Let s be v(7). Let n(t) = 14*t**2 + 4. Let b be n(s). Suppose -f = 3*f + r - b, 4*f - 134 = r. Is f a multiple of 16?
False
Suppose 6*o - 2*o = 184. Suppose k + 2 = o. Does 22 divide k?
True
Let c = -87 - -180. Does 6 divide c?
False
Let i be (-4)/18 - (-812)/9. Suppose 0 = -3*q + i + 114. Is 17 a factor of q?
True
Let k = -59 - 236. Let g = -159 - k. Suppose 2*v = 6*v - g. Is v a multiple of 17?
True
Let d(p) = -p - 5. Let c be d(-8). Suppose -3*z - z = 4*l, -2*l = c*z - 5. Is 3 a factor of z?
False
Suppose -5*j = 27 + 23. Let m be 4/j + 68/20. Suppose 0 = m*g + g - 136. Does 11 divide g?
False
Suppose -2*h + 25 = 3*h. Suppose h*u = 3*v - 91, -2*u = -u - 1. Is v a multiple of 11?
False
Suppose 0*r = -5*r + 10. Suppose -3 = r*b - 9. Suppose -2*t = 5*g - 6*t - 140, g - b*t - 39 = 0. Does 12 divide g?
True
Suppose 0 = 3*h - 6*h + 45. Let i = -5 + h. Is 5 a factor of i?
True
Suppose -2*u + 39 = u. Is 13 a factor of u?
True
Let f(s) = s**3 + s**2 + s + 8. Does 4 divide f(0)?
True
Does 12 divide 126*(20/(-6))/(-5)?
True
Let k(c) = c**2 - 2*c - 8. Let w be k(-9). Let j = w + -57. Does 10 divide j?
False
Suppose n - 137 = -c, 0 = 3*n - 2*c + 80 - 506. Suppose 8*s = 4*s + n. Is 9 a factor of s?
False
Suppose 29*m - 30*m = -39. Is 9 a factor of m?
False
Let j be (-1)/(-2 + 225/111). Let z = j - -52. Let x = z - 9. Does 3 divide x?
True
Let n(j) = 5*j + 2. Suppose -3 - 5 = -4*u. Is n(u) a multiple of 8?
False
Is (-4)/(-3 + (-24)/(-9)) a multiple of 4?
True
Suppose 9*i - 4 = 8*i. Let l(n) = 2*n - 7 + 4*n - 4*n - i*n. Does 5 divide l(-7)?
False
Let d(s) be the third derivative of 3*s**2 - 3/8*s**4 + 0*s + 0 + 0*s**3. Does 6 divide d(-2)?
True
Suppose -5*x = -x + 16. Let f = 2 + 0. Let v = f - x. Is 4 a factor of v?
False
Suppose -3*n + 245 = 2*n + 4*j, -4*n - 4*j + 192 = 0. Is n a multiple of 11?
False
Let x = 6 - 3. Suppose -3*t + 4 = -o, -5*o = -t + x*t - 48. Is o a multiple of 6?
False
Suppose -b - 4 = b. Is 7 a factor of b/3 - (-69)/9?
True
Let u(z) = z**2 + z. Let i be u(1). Suppose -i*j = w - 30, -5*j - 4*w + 74 = -2*w. Suppose -4*p + 3*p = -j. Is p a multiple of 7?
True
Suppose 0*o - 5*t - 90 = -5*o, 0 = -2*o + 5*t + 42. Is 8 a factor of o?
True
Let k(d) = 5*d - 13. Is k(6) a multiple of 11?
False
Suppose -157 = -4*c + 143. Suppose -2*l = -4*i - 4*l + 60, 5*i + 5*l - c = 0. Let n = i - 9. Is 3 a factor of n?
True
Suppose w - o - 66 = 0, -5*o - 190 + 55 = -2*w. Let k = 2 + -2. Suppose -c - b + 14 = -11, -3*c - 5*b + w = k. Does 15 divide c?
True
Let c(k) be the second derivative of -k**3/6 + 5*k**2 - 3*k. Let q be c(8). Suppose -g + n = -3*n - 5, -2*g = q*n - 30. Is 5 a factor of g?
False
Let k = -149 - -359. Suppose 0*y - 2*y - 142 = -4*a, 2*y = a - 34. Suppose 0 = -4*f + 5*v + 117, -5*f - 3*v = -k + a. Does 13 divide f?
False
Let i(q) = q**3 + 5*q**2 - 2*q. Let d be i(-6). Let c = 5 - -10. Does 5 divide (d/(-9) - 2)*c?
True
Suppose 0 = 5*i + 5*f - 50, 0 = 2*i - 5*f + 2*f. Suppose -4*p - i = -18. Suppose -p*z + 4*n = -23, 12 = 4*z - 3*n + 7*n. Does 4 divide z?
False
Let r = 0 - -2. Suppose -r*z + 5 = -3*p, -2*p - 8 = -3*z + 2*p. Suppose -z*y = -y - c - 74, -2*y + 64 = 3*c. Does 12 divide y?
False
Let s(w) = w**2 + 5*w + 2. Let r be s(-5). Let h = 6 - r. Suppose 5*p + 2*a = 189, 4*p + a = h*a + 165. Is p a multiple of 13?
True
Suppose 4*w = 2*j + 5*w - 23, -4*w + 47 = 3*j. Suppose -4*h + j*h = 0. Suppose -14 - 11 = -2*f + 3*m, h = -4*f + m + 25. Does 2 divide f?
False
Let h(u) be the second derivative of -u**5/20 - 2*u**4/3 - 4*u**3/3 + 4*u**2 - 3*u. Suppose -7*q + 3*q - 38 = -5*s, -2*q - s - 12 = 0. Is 15 a factor of h(q)?
True
Let o be 1670/18 + (-16)/(-72). Suppose l + 2*l = o. Does 11 divide l?
False
Suppose -6*r = -10*r + 12. Suppose -c = -r*k - 3*c + 82, 0 = -k + 4*c + 4. Is k a multiple of 12?
True
Let z = -36 + -58. Let h = 135 + z. Is 21 a factor of h?
False
Let o(l) = -l**2 + 6*l - 2. Is 7 a factor of o(3)?
True
Suppose -3*m = x + 2*m - 29, -3*x = -m - 23. Let s = 6 - -10. Let i = s - x. Is i a multiple of 7?
True
Suppose 3*u - 2*i = -2, 2*u + 6 = -3*u + 4*i. Suppose 0 = -u*n + 21 + 11. Is 4 a factor of n?
True
Let h = -6 - -9. Suppose -h*b + 172 = 4*f + b, 0 = 5*f - 5*b - 165. Is f a multiple of 23?
False
Suppose o = 5*o - 104. Let u be (-4)/8 - 2/(-4). Does 9 divide (u/(-2))/(-2) + o?
False
Let r = 164 - 28. Is 17 a factor of r?
True
Let b = -55 - -75. Is 4 a factor of b?
True
Suppose 5*x - 13 = -b, 0*x + b = -4*x + 10. Suppose 5*r = x*y + 53 + 37, 5*r - 120 = -3*y. Is r a multiple of 8?
False
Let z = 173 + -119. Is z a multiple of 27?
True
Let g(r) = 3*r. Let t be g(4). Is (-10)/8*t/(-1) a multiple of 5?
True
Suppose -5*z + 4*r = -0*r - 32, 4*z + r - 34 = 0. Does 3 divide z?
False
Let z = 27 + -12. Let o = z + 22. Does 14 divide o?
False
Let i be 274/8*(7 + -3). Let d = 221 - i. Suppose 3*w = -0*w + d. Is w a multiple of 14?
True
Let c = 54 - 1. Does 8 divide c?
False
Let r(u) = -5*u**2 - 4*u - 8. Let n(m) = -m**2 - m - 2. Let t(i) = -9*n(i) + 2*r(i). Let s be t(0). Suppose -d + 11 + 5 = 2*h, 24 = 4*h - s*d. Does 3 divide h?
False
Suppose 5*i - 367 - 678 = 0. Is i a multiple of 23?
False
Let h(n) = -n**3 + 10*n**2 + 12*n - 6. Let y be h(11). Let d(j) be the third derivative of j**4/8 + j**3/2 - j**2. Is 7 a factor of d(y)?
False
Let j(h) = -h**3 + 7*h**2 - 6*h - 5. Let f be j(6). Let k = f - -22. Is 3 a factor of k?
False
Let u = -11 + 1. Let h(x) = -2. Let j(q) = -q - 5. Let k(s) = -7*h(s) + 3*j(s). Is 11 a factor of k(u)?
False
Let r(t) = 2*t**3 - 3*t**2. Let a be r(2). Suppose 4*s - 8*s = 3*n - 192, a*n = -3*s + 144. Suppose 5*x - 27 - s = 0. Does 6 divide x?
False
Let j(n) = n**2 - n - 2. Is j(-4) a multiple of 6?
True
Suppose 3*h - 57 = 3*t, 5*h + t - 97 = -32. Let o(a) = -a + 34. Is o(h) a multiple of 20?
True
Is 10 a factor of 338/8 + (-2)/8?
False
Suppose -23 - 99 = -5*b - r, -5*b = 4*r - 128. Does 24 divide b?
True
Suppose 2*g - 5*g + 9 = 0. Suppose 4*d - 59 = g*z, -2*d = -d - 5*z - 36. Is 11 a factor of d?
True
Suppose -5*n + 640 = -n. Suppose j = -4*j + n. Is j a multiple of 16?
True
Let c = 1 + -1. Suppose 55 = 5*x - 3*f, c = 3*x - f - 11 - 22. Is 11 a factor of x?
True
Is 61 - ((-2)/1 + 3) a multiple of 15?
True
Let m = -4 + 24. Is 10 a factor of m?
True
Let t(c) = c**2 + 3*c - 11. Let u(i) = -3*i**2 - 10*i + 33. Let r(z) = -11*t(z) - 4*u(z). Is r(-10) a multiple of 8?
False
Suppose -5*k + 36 = -k - 4*w, k - 2*w - 13 = 0. Is k a multiple of 5?
True
Let n(p) be the first derivative of 2*p**3/3 - p**2/2 - 4. Let c be n(-1). Let a = 11 + c. Is 14 a factor of a?
True
Suppose p + 0*p - 118 = 5*r, 3*r = -p - 74. Is (23/(-4))/(6/r) a multiple of 16?
False
Let y(b) = 33*b**2 + 2*b + 2. Let i(t) = -98*t**2 - 7*t - 7. Let n(s) = 2*i(s) + 7*y(s). Is n(-1) a multiple of 13?
False
Let a be 16/(-20) + (-48)/(-10). Suppose 0 = a*l - 4, 0*k - 76 = -k + l. Is 32 a factor of k?
False
Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
picked without replacement from yyuyyyuyuuuyuyuuuyyy.
7/95
Two letters picked without replacement from {j: 2, g: 2, a: 2, t: 1, i: 1, d: 5}. What is prob of sequence ta?
1/78
What is prob of sequence fcw when three letters picked without replacement from {w: 2, f: 1, c: 1, o: 1}?
1/30
Four letters picked without replacement from {q: 1, d: 2, s: 7}. What is prob of sequence qsds?
1/60
Two letters picked without replacement from {s: 9, f: 7}. What is prob of sequence fs?
21/80
Two letters picked without replacement from {s: 6, e: 2, l: 1, n: 1, m: 3}. What is prob of sequence ml?
1/52
Three letters picked without replacement from jjjkjjkj. What is prob of sequence kkj?
1/28
What is prob of sequence ys when two letters picked without replacement from {y: 6, s: 6}?
3/11
Two letters picked without replacement from {h: 1, l: 2, x: 8, z: 9}. What is prob of sequence hx?
2/95
Four letters picked without replacement from ssaaaaaaa. What is prob of sequence assa?
1/36
What is prob of sequence jou when three letters picked without replacement from uuqjuojjqq?
1/80
What is prob of sequence nn when two letters picked without replacement from {r: 4, m: 4, n: 2}?
1/45
Four letters picked without replacement from {w: 7}. What is prob of sequence wwww?
1
What is prob of sequence dkda when four letters picked without replacement from dakd?
1/12
Calculate prob of sequence tntn when four letters picked without replacement from nnnnnnnttnt.
7/165
Two letters picked without replacement from {p: 3, e: 3, d: 1}. Give prob of sequence ed.
1/14
Three letters picked without replacement from {w: 1, t: 6, l: 1, b: 1, h: 1, s: 3}. Give prob of sequence ltw.
1/286
Four letters picked without replacement from fgghzfazzzzffzhz. What is prob of sequence zfaf?
1/520
Three letters picked without replacement from {x: 1, w: 6, a: 3, e: 3}. Give prob of sequence wae.
9/286
Three letters picked without replacement from {n: 2, e: 3, c: 2, j: 8}. Give prob of sequence jcn.
16/1365
Calculate prob of sequence ii when two letters picked without replacement from wwwwwwwwwiiw.
1/66
What is prob of sequence ajak when four letters picked without replacement from {a: 2, k: 5, j: 6}?
1/286
What is prob of sequence rr when two letters picked without replacement from trrr?
1/2
Three letters picked without replacement from {a: 7, l: 9, k: 2, f: 1}. Give prob of sequence lka.
7/323
Four letters picked without replacement from {h: 2, b: 3, t: 3}. What is prob of sequence hbht?
3/280
Calculate prob of sequence emm when three letters picked without replacement from {e: 5, m: 14}.
455/2907
Four letters picked without replacement from avrndnnrnnra. What is prob of sequence anvn?
1/297
What is prob of sequence blr when three letters picked without replacement from {b: 4, l: 4, s: 3, r: 1, k: 1}?
4/429
What is prob of sequence eqp when three letters picked without replacement from {e: 8, p: 4, q: 2}?
8/273
What is prob of sequence cjcc when four letters picked without replacement from jccjcxcjjcxj?
5/198
What is prob of sequence uz when two letters picked without replacement from utuz?
1/6
Four letters picked without replacement from xxnhh. What is prob of sequence hxhn?
1/30
Three letters picked without replacement from wwmw. Give prob of sequence wmw.
1/4
What is prob of sequence rr when two letters picked without replacement from rrttryytyyrrr?
5/26
Calculate prob of sequence bb when two letters picked without replacement from {b: 6}.
1
Calculate prob of sequence bkb when three letters picked without replacement from kbkkkbkkkbbyyykkbbb.
21/323
What is prob of sequence hcc when three letters picked without replacement from hccbh?
1/15
Calculate prob of sequence ttti when four letters picked without replacement from tttatttittttataiatat.
143/4845
Two letters picked without replacement from daafpofaoaaoadadaq. What is prob of sequence df?
1/51
Calculate prob of sequence kn when two letters picked without replacement from {n: 4, k: 5, s: 3}.
5/33
Four letters picked without replacement from {o: 3, s: 2, p: 3}. Give prob of sequence ppsp.
1/140
Two letters picked without replacement from {k: 7, u: 5}. What is prob of sequence ku?
35/132
Calculate prob of sequence wt when two letters picked without replacement from wtftw.
1/5
Three letters picked without replacement from ggwnjgqqjj. Give prob of sequence wjq.
1/120
Three letters picked without replacement from kktkrsrkvkrs. Give prob of sequence vst.
1/660
What is prob of sequence kf when two letters picked without replacement from {k: 3, f: 2, i: 5, r: 3}?
1/26
Two letters picked without replacement from drorrdrrrrroorrddr. What is prob of sequence do?
2/51
What is prob of sequence jsjq when four letters picked without replacement from {y: 2, m: 1, q: 5, l: 6, j: 3, s: 2}?
5/7752
Calculate prob of sequence zrpz when four letters picked without replacement from fffffrzfbfpgzf.
1/12012
What is prob of sequence oooo when four letters picked without replacement from hohhoqhohoq?
1/330
Two letters picked without replacement from {z: 4, d: 6, v: 3}. Give prob of sequence vz.
1/13
Three letters picked without replacement from {c: 14, w: 1}. Give prob of sequence ccw.
1/15
Two letters picked without replacement from nfduaun. What is prob of sequence ad?
1/42
What is prob of sequence uw when two letters picked without replacement from vuuwjmu?
1/14
What is prob of sequence uqkk when four letters picked without replacement from qkukkquukuuquqsq?
3/364
Four letters picked without replacement from qoqqqhnqoqnh. Give prob of sequence nqoq.
1/99
Calculate prob of sequence xxnx when four letters picked without replacement from xniiniinixxnxxnnniii.
7/1938
What is prob of sequence jh when two letters picked without replacement from {e: 1, j: 11, i: 1, h: 2, a: 1}?
11/120
Calculate prob of sequence lggg when four letters picked without replacement from lggggggggllggglggg.
91/765
Three letters picked without replacement from zrzzzzrrzzzzrrzz. What is prob of sequence rzr?
11/168
Calculate prob of sequence dddd when four letters picked without replacement from dddd.
1
Three letters picked without replacement from {x: 3, u: 3, c: 5}. Give prob of sequence cxc.
2/33
Calculate prob of sequence vv when two letters picked without replacement from vkookvvvvvvaoo.
3/13
Four letters picked without replacement from {y: 9, b: 1, w: 5, u: 1}. Give prob of sequence bwby.
0
Four letters picked without replacement from dmdrdrcqocdo. What is prob of sequence rmrd?
1/1485
What is prob of sequence www when three letters picked without replacement from hywhywwwywyw?
1/11
What is prob of sequence ikk when three letters picked without replacement from iikikiikikkkki?
7/52
What is prob of sequence www when three letters picked without replacement from {w: 12, t: 1}?
10/13
Two letters picked without replacement from rsrssarasssasa. What is prob of sequence rr?
3/91
Calculate prob of sequence hq when two letters picked without replacement from quhhuhuhuhqqu.
5/52
Three letters picked without replacement from zvyzzfu. What is prob of sequence vzz?
1/35
Three letters picked without replacement from oofoaafafaaal. What is prob of sequence lfo?
3/572
Two letters picked without replacement from {y: 2, a: 2}. Give prob of sequence yy.
1/6
Calculate prob of sequence ez when two letters picked without replacement from {x: 1, z: 1, f: 1, y: 1, e: 1}.
1/20
Three letters picked without replacement from dddxddbddddxb. What is prob of sequence xxb?
1/429
What is prob of sequence bcb when three letters picked without replacement from cbbccccbcc?
7/120
What is prob of sequence vxv when three letters picked without replacement from xxvxvxxxxxxv?
9/220
Two letters picked without replacement from ggqjvwh. What is prob of sequence vw?
1/42
Calculate prob of sequence pppp when four letters picked without replacement from {p: 6, g: 6}.
1/33
Calculate prob of sequence se when two letters picked without replacement from {w: 1, s: 1, e: 1}.
1/6
Calculate prob of sequence nqu when three letters picked without replacement from nnuqv.
1/30
Two letters picked without replacement from bbvpvlebblllleplpepe. Give prob of sequence eb.
4/95
Two letters picked without replacement from ytcmrcytyuttuyr. What is prob of sequen
|
{
"pile_set_name": "DM Mathematics"
}
|
est value? (a) 0.4 (b) 10 (c) -0.089 (d) -0.49 (e) 1 (f) 5
b
Which is the second biggest value? (a) 330 (b) -0.62 (c) 1 (d) -5 (e) -2.6 (f) -1/7 (g) 4/5
c
What is the biggest value in -8609, -21, 2?
2
Which is the fifth biggest value? (a) 0.2 (b) 0.1 (c) 1/162 (d) -46 (e) -2/9 (f) -0.2
e
What is the fourth biggest value in 661355, -0.4, 0.4, -9?
-9
Which is the smallest value? (a) -5 (b) 789 (c) -2/19 (d) -1/5 (e) 0 (f) 803 (g) -4
a
Which is the fourth biggest value? (a) 0.2 (b) 3/7 (c) -3 (d) -0.3 (e) 15 (f) -0.104 (g) 0.09
g
Which is the smallest value? (a) 1096.63092 (b) 4 (c) 5
b
Which is the second smallest value? (a) 16 (b) 4/19 (c) 1 (d) 0 (e) 344/41
b
Which is the third smallest value? (a) -15/7 (b) -15061 (c) 81
c
Which is the second biggest value? (a) -3 (b) -41.2 (c) 4/5 (d) 0 (e) -7 (f) 292 (g) -0.5
c
Which is the second smallest value? (a) -11 (b) -6 (c) -265552
a
What is the second biggest value in -12, -458403, -1?
-12
What is the third smallest value in -1/3, 2, 14.4, -54.1, -4?
-1/3
Which is the fourth smallest value? (a) -1/14 (b) 0.4 (c) -0.449 (d) -64 (e) -4
a
Which is the fourth biggest value? (a) 8/5 (b) 313 (c) -1185 (d) 2
c
Which is the fifth smallest value? (a) -12/7 (b) -6 (c) 0.2 (d) 0.1 (e) -0.007 (f) 5
c
What is the second biggest value in -12021, 136, 2/7, -0.2?
2/7
Which is the third biggest value? (a) 2 (b) -3807 (c) 3561.1
b
What is the fourth smallest value in 44835, 0.04, -0.2, -2/3, 5, 1?
1
What is the fourth biggest value in -248/13, 10, -11, -2/11, -26?
-248/13
Which is the smallest value? (a) 0.1 (b) 2/5 (c) -296/81 (d) 2/11 (e) -0.5 (f) -0.2 (g) 0.03
c
What is the third smallest value in 2/3, -456.8, -5?
2/3
Which is the fourth biggest value? (a) 4 (b) -4 (c) -471 (d) -1/2 (e) -92.5
e
What is the fifth smallest value in 1/10, -5, 0.023, -2/9, -7, -0.3?
0.023
Which is the smallest value? (a) -1.5 (b) -4 (c) -2280 (d) -2/11 (e) 63
c
Which is the third biggest value? (a) 26.32 (b) -0.03 (c) -2 (d) -0.05 (e) 2/7
b
Which is the second biggest value? (a) 5 (b) 1 (c) 3/284 (d) -18 (e) -2 (f) 14
a
What is the second biggest value in 2/9, -0.3, 0.2, -1.959, 2/3, 0.83?
2/3
What is the third biggest value in 1898, 0.3, -0.3, -2/33?
-2/33
Which is the sixth smallest value? (a) -0.4 (b) -2 (c) -7 (d) -26057 (e) 2/5 (f) -3/10
e
Which is the second smallest value? (a) 12 (b) 0 (c) -2.15 (d) 463
b
What is the third smallest value in -2436, -0.2, -1175?
-0.2
Which is the second smallest value? (a) -51 (b) 8 (c) -3/63923
c
Which is the smallest value? (a) -1/2 (b) 0 (c) -9277.6 (d) -0.08 (e) 0.2
c
Which is the second biggest value? (a) -1/5 (b) 0 (c) 4 (d) -5 (e) 12 (f) 2/5 (g) 0.038
c
What is the sixth biggest value in -3, 1/2, 0.1, 0, -0.5, 1.284, -5/3?
-5/3
Which is the third smallest value? (a) 14 (b) 0.4 (c) -0.7274 (d) 1/9
b
Which is the second smallest value? (a) 5/2 (b) 19137 (c) 5.45
c
Which is the biggest value? (a) -38 (b) -3 (c) -12117 (d) -1 (e) 8 (f) -0.4
e
Which is the third smallest value? (a) 810348 (b) 302 (c) -0.2
a
What is the second biggest value in -2, 6, -176977?
-2
Which is the fourth smallest value? (a) -11/49579 (b) -1/9 (c) -1 (d) 32
d
What is the fourth biggest value in 2.27, 13/7, -38, 0.73?
-38
Which is the second biggest value? (a) 0 (b) -4 (c) 432 (d) -0.152 (e) -1/3 (f) 0.3
f
What is the fifth smallest value in -3, -1/25, -0.3, -0.5685, 0.13?
0.13
What is the sixth smallest value in 3, 2/9, 8, 3/8, 9.31, -5, 0?
8
What is the biggest value in -1/3, -10, 36, 3, -9, 0, 6/7?
36
What is the smallest value in 16772, 18, -2/9, -2, 1?
-2
Which is the seventh biggest value? (a) 2/21 (b) 0.5 (c) -5 (d) -7/6 (e) 31 (f) 3 (g) -1/7
c
What is the second biggest value in -71, 4, 3, -8, 0.4, -2.16?
3
What is the second smallest value in -2/7, 1/36, -2, -10, -0.319?
-2
What is the third smallest value in -6/67, -3, -1, -44.6, 4, 2/19, 14?
-1
Which is the biggest value? (a) -0.3 (b) -0.2 (c) -6985 (d) -2/73
d
Which is the fourth smallest value? (a) 10.7 (b) 1/93 (c) 1/2 (d) -0.2 (e) 9 (f) -2/65
c
Which is the third smallest value? (a) -5 (b) 7156664 (c) -3/5
b
Which is the seventh smallest value? (a) -0.4 (b) 5 (c) -1/7 (d) -0.04 (e) -25 (f) 46 (g) -2
f
What is the second smallest value in 25, -1, -115.2, 5, 4/9?
-1
What is the biggest value in 5, 0.4, -1.35, 0.2, 71, -2?
71
What is the fifth smallest value in 1, 0.1, -17/6, -3, -0.1, 22/75?
22/75
Which is the third smallest value? (a) -505/11 (b) 3 (c) -2/3 (d) -4/977 (e) 1
d
What is the third biggest value in -24, 279, 2/17, 349, -3?
2/17
Which is the third biggest value? (a) 3 (b) 0.19 (c) -163 (d) 7/18 (e) 4
d
What is the fourth biggest value in 2323, 5, -5/3, 2/9, 0.01, -3/4?
0.01
Which is the third smallest value? (a) 887 (b) -27645 (c) 0
a
What is the third smallest value in 460.208, 440, 0.3?
460.208
Which is the second biggest value? (a) 413.31 (b) -19/65 (c) 5
c
What is the second biggest value in 4, 0.2, 0.5, -6/357185, -3?
0.5
Which is the fifth smallest value? (a) -0.3 (b) 1/302 (c) 4/9 (d) 0.2 (e) 7/97
c
What is the smallest value in -61/4, -0.1, -518.39, 4?
-518.39
Which is the second biggest value? (a) -3/7 (b) 84790743 (c) 3
c
Which is the biggest value? (a) -956.4 (b) 1001 (c) -3
b
Which is the third smallest value? (a) -15 (b) -0.03 (c) -0.539 (d) -2/7
d
Which is the second smallest value? (a) 3/7 (b) -3092/13 (c) -1/3 (d) -0.05 (e) -2/5
e
What is the fourth biggest value in -7, 2/697, 4, -0.2, -0.061?
-0.2
What is the smallest value in 619/2, -0.25, 18, 0.2, 11?
-0.25
What is the smallest value in -1345234, 0.5, -45?
-1345234
Which is the third biggest value? (a) -6/16031 (b) 1/2 (c) 0.228 (d) -3
a
Which is the biggest value? (a) 94 (b) -0.2 (c) -1 (d) -25.492
a
What is the fourth smallest value in -0.1, -1/4883, -3/2, 7150?
7150
Which is the second smallest value? (a) 3 (b) 5319 (c) 10925
b
What is the fifth smallest value in -2/13, 0.3, -22, 0.055, 122, -4?
0.3
What is the second smallest value in -15102, 173.1, 2/3?
2/3
What is the seventh smallest value in -0.4, 0, -1/3, 31, 4, -4, -29?
31
Which is the smallest value? (a) 3085.5 (b) -2/25 (c) 4
b
Which is the third biggest value? (a) -0.1 (b) 2 (c) 13.8 (d) -1934
a
Which is the smallest value? (a) -25.24 (b) 9/19 (c) -25/2
a
What is the second smallest value in -2, -1, 60964, -3, -0.6, 1/3, -4?
-3
What is the fourth biggest value in 2/11, 0, 5, 4, -45, 3, 311?
3
Which is the fifth smallest value? (a) 1/5 (b) 0.1 (c) -1 (d) 0.0205 (e) 261
e
Which is the third biggest value? (a) -0.1 (b) -5 (c) -248 (d) -1/2 (e) 2/23
d
What is the second smallest value in -11/45, 2, -19, 16, 18?
-11/45
What is the third smallest value in 5, -0.00282816, -4?
5
Which is the sixth biggest value? (a) -0.13 (b) 21 (c) -11.5 (d) 13 (e) 5 (f) -0.5
c
Which is the second smallest value? (a) 23/2 (b) 54 (c) -303.6
a
What is the biggest value in 1.3, -54, 2/3, -2/3, -199/5?
1.3
Which is the fourth biggest value? (a) 8 (b) -1 (c) 279669 (d) -4 (e) 2/7
b
What is the second smallest value in 93, 110, -2, -1/3, -0.2?
-1/3
What is the fourth biggest value in -3/5, 0, -74, 0.2, -171207?
-74
What is the biggest value in 1, 0.075, 2/3, -2, -1/2, -5, 74?
74
What is the second smallest value in 2, 22/5, 10.725, 8?
22/5
Which is the smallest value? (a) -941 (b) 0.3 (c) 31
a
What is the sixth biggest value in -6, 2/9, -2/5, 3/659, -213, -5?
-213
What is the fourth biggest value in 1050, -0.037, -1, 0.5, -10/73?
-10/73
What is the second smallest value in -5, 131/3, -128359?
-5
Which is the second biggest value? (a) 17 (b) 9284.9 (c) -2/5 (d) 3
a
Which is the fourth smallest value? (a) -7 (b) -430/123 (c) -2 (d) -44
c
Which is the smallest value? (a) -0.1 (b) -33576 (c) 16
b
Which is the second biggest value? (a) -0.053 (b) 2 (c) 4 (d) 1/662 (e) -3/5
b
What is the second smallest value in 0.2, 42, -24, -0.04?
-0.04
What is the sixth smallest value in -0.08, -2, -4/3, -1452, 0.3, 1/6, 5?
0.3
Which is the second biggest value? (a) 0.2 (b) 45 (c) 3
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2 - 8*w + 0. Let x(s) = -s - 1. Let d(z) = o*a(z) - 5*x(z). Differentiate d(c) wrt c.
-3
Let a(i) be the second derivative of i**5/20 + 5*i**3/6 + 3*i. Find the second derivative of a(l) wrt l.
6*l
Let q(m) be the third derivative of -m**5/60 + m**3/3 - m**2. Let r be q(0). What is the first derivative of -3*g**4 - 4*g**4 + 4*g**4 - r wrt g?
-12*g**3
Let g(n) be the third derivative of -n**6/40 + n**5/20 + n**2. Find the third derivative of g(k) wrt k.
-18
Let z be 12/8*8/3. Find the third derivative of -3*a**5 - z - 3*a**2 + 4 wrt a.
-180*a**2
Find the second derivative of -10*n**3 + 7*n + 14*n**3 - n + 2*n**3 wrt n.
36*n
Let g(f) = 25*f**4 + 7*f**2 + 5*f. Let c(y) = 37*y**4 + 10*y**2 + 7*y. Let i(l) = -5*c(l) + 7*g(l). What is the third derivative of i(o) wrt o?
-240*o
Let b(a) be the second derivative of -4*a**4/3 + a**3 + 20*a. What is the second derivative of b(o) wrt o?
-32
Find the second derivative of -g + 10*g**2 - 6*g + 14*g**2 - g wrt g.
48
Let a(f) = f**2 - 5*f + 5. Let k be a(4). Find the first derivative of 4 - 1 + 2*n**2 + n**2 + k wrt n.
6*n
Let h(v) be the third derivative of 19*v**7/210 + 7*v**5/60 - v**2. Find the third derivative of h(p) wrt p.
456*p
Suppose 4*d + 4 + 25 = 3*q, -4*q - 4*d - 8 = 0. Find the third derivative of 2*r**2 - 3*r**2 + 2*r**2 - 3*r**2 - 3*r**q wrt r.
-18
Let o(i) = -10*i + 1. Let x(w) = -w. Let b(n) = -o(n) + 4*x(n). What is the derivative of b(v) wrt v?
6
Suppose 4*h + 3 - 27 = 0. What is the third derivative of -3*f**6 + 3 + h*f**2 - 3 - f**2 wrt f?
-360*f**3
Let f(q) be the first derivative of -q**7 - 7*q**3/3 - 8. What is the third derivative of f(w) wrt w?
-840*w**3
Let h(w) be the first derivative of 0*w**4 + 0*w**2 + 2/3*w**3 + 0*w**5 + 1 + 0*w + 1/6*w**6. Find the third derivative of h(a) wrt a.
60*a**2
Let k(f) be the first derivative of f**8/840 - f**6/120 + f**3/3 - 2. Let y(w) be the third derivative of k(w). Find the third derivative of y(s) wrt s.
48*s
Let q(p) be the second derivative of 0*p**5 + 2/15*p**6 + 0*p**3 - 4*p + 0 + p**2 + 0*p**4. Differentiate q(c) with respect to c.
16*c**3
Suppose 2*v - v = -4. Let y be 5*-2*2/v. Find the third derivative of 4*o**y + 2*o**5 - 2*o**2 - o**5 - o**5 wrt o.
240*o**2
Let o(t) = -9*t**2 - 4. Let f(v) = -9*v**2 - 3. Let q(l) = -2*f(l) + 3*o(l). What is the derivative of q(p) wrt p?
-18*p
Suppose -20 = -4*v, -6 + 18 = -4*l + 4*v. Let z be 12/8*l/3. Differentiate -4*n + 0*n + 0*n + z with respect to n.
-4
Suppose -4*m + 27 = 7. Suppose m*g - 20 - 5 = 0. What is the second derivative of o**4 - o**4 + 2*o**g - o wrt o?
40*o**3
Let v(x) be the second derivative of 7*x**4/12 + x**3 - 2*x. Find the second derivative of v(s) wrt s.
14
Let x = 7 + -10. Let w = 2 - x. What is the second derivative of t**w - t - 2*t**5 + 3*t wrt t?
-20*t**3
Let q(l) be the second derivative of -2*l**7/7 - l**4/3 - 19*l. Find the third derivative of q(o) wrt o.
-720*o**2
Let a(w) be the first derivative of w**8/280 + 5*w**4/24 + w**3/3 - 5. Let x(m) be the third derivative of a(m). What is the derivative of x(k) wrt k?
24*k**3
Suppose -2*o + 5*o - p = -12, -3*o - 12 = p. Let r be (1/o)/(3/(-12)). Differentiate 2 - 2 - r + 3*s**4 wrt s.
12*s**3
Let u(z) be the third derivative of 23*z**6/60 + 6*z**3 + 30*z**2. Differentiate u(d) wrt d.
138*d**2
Let i(g) = -g**2 - g + 1. Let f(j) = -9*j**2 - 3*j - 4. Let q(l) = -f(l) + 3*i(l). Differentiate q(t) wrt t.
12*t
Let c(w) be the second derivative of w**7/14 + w**3 - 4*w. What is the second derivative of c(u) wrt u?
60*u**3
Suppose -20 = 5*a + 15. Let l = a - -10. Find the third derivative of 2*s**2 + s**3 + s**3 + s**l wrt s.
18
Let l(f) = f**3 - 7*f**2 - 7*f - 5. Let k be l(8). Find the third derivative of -3*q**3 + 6*q**3 + 0*q**2 + k*q**2 wrt q.
18
Let u(p) = 10*p**4 + 6*p**3 - 14*p**2 - 6. Let k(s) = -11*s**4 - 7*s**3 + 15*s**2 + 7. Let i(o) = -6*k(o) - 7*u(o). Find the third derivative of i(t) wrt t.
-96*t
Differentiate -6*x**3 - x**2 - 57 + 3*x**2 + 0 with respect to x.
-18*x**2 + 4*x
Let n(q) = q - 7. Let r be n(9). Find the third derivative of 5*d**4 - r*d**4 + d**2 - 5*d**4 wrt d.
-48*d
Let a(c) be the first derivative of -c**5 - 2*c**3/3 + 6. Find the third derivative of a(t) wrt t.
-120*t
Let m(i) be the second derivative of i**6/360 - i**5/40 + 5*i**3/6 - 5*i. Let k(h) be the second derivative of m(h). Find the second derivative of k(n) wrt n.
2
Let g(r) be the first derivative of 8*r**5/5 + 3*r**2/2 + 1. What is the second derivative of g(m) wrt m?
96*m**2
Let k = 10 - 5. Let l(i) be the third derivative of 0*i**4 - 2*i**2 - 1/2*i**3 + 0*i + 1/60*i**k + 0. Differentiate l(j) wrt j.
2*j
Let g be ((-3)/(-9))/((-2)/(-138)). What is the second derivative of -g - 4*a + 23 + 4*a**4 wrt a?
48*a**2
What is the first derivative of 0 - 4*x**3 - 1 - 3 + 10*x**3 wrt x?
18*x**2
Let s(y) be the first derivative of 23*y**7/7 + 2*y**3/3 + 1. What is the third derivative of s(n) wrt n?
2760*n**3
Let o(u) be the second derivative of 19*u**5/20 - 15*u**2/2 - 19*u. Differentiate o(w) with respect to w.
57*w**2
Let i(f) = 11*f**4 - 6*f**3 + 23*f**2 - 6. Let q(a) = a**4 + a**3 + a**2 + 1. Let p(o) = -i(o) - 6*q(o). Find the third derivative of p(x) wrt x.
-408*x
Let q(u) be the second derivative of 0 - 3*u - 1/3*u**3 - 2*u**2. What is the first derivative of q(h) wrt h?
-2
Let y = -5 - -5. Let s = 2 - y. Differentiate 0 + 0*m**3 + 0 + 1 + s*m**3 with respect to m.
6*m**2
Let x(f) be the third derivative of -1/3*f**3 + 0*f**5 + 0 - f**2 + 1/210*f**7 + 0*f**4 + 0*f**6 + 0*f. Differentiate x(n) wrt n.
4*n**3
Let c(n) = -3*n**3 + 3*n**2 + 3. Let i(z) = 7*z**3 - 5*z**2 + z - 5. Let o(j) = -5*c(j) - 3*i(j). What is the second derivative of o(s) wrt s?
-36*s
Let z(j) be the first derivative of -4*j**5/5 + 8*j + 12. What is the first derivative of z(u) wrt u?
-16*u**3
Let l = 13 - 10. Let y(m) = -m**2 - 2*m - 5. Let c = -7 + 5. Let g(v) = -3*v - 6. Let f(h) = c*g(h) + l*y(h). Differentiate f(x) wrt x.
-6*x
Suppose -4*u = 8, -3*u = -2*w - 2*u + 4. Let o(p) be the first derivative of 5/2*p**2 - p + w. Differentiate o(a) wrt a.
5
Suppose 9*m - 27 = 9. Let g(r) be the second derivative of 0*r**2 + 0 - 1/30*r**6 + 0*r**5 - 3*r - 1/6*r**3 + 0*r**m. Find the second derivative of g(c) wrt c.
-12*c**2
Let l(t) = 22*t**3 + 10*t + 16. Let p = 17 - 7. Let m(k) = 7*k**3 + 3*k + 5. Let c(q) = p*m(q) - 3*l(q). What is the derivative of c(z) wrt z?
12*z**2
Suppose -8*c + 9*c - 4 = 0. Let q(x) = -x**3 - 5*x**2 - 6*x - 6. Let v be q(-4). What is the third derivative of -j**2 + c*j**v - j**4 - 2*j**2 + 2*j**4 wrt j?
24*j
Differentiate -5 - 3*y + 3*y - 53*y**4 + 30*y**4 with respect to y.
-92*y**3
Let g = 4 - 2. Let m(n) = -5*n**4 + 2*n + 5. Let f(j) = -21*j**4 + 9*j + 21. Let u(i) = g*f(i) - 9*m(i). Differentiate u(h) wrt h.
12*h**3
Let w(d) be the second derivative of d**6/3 + 7*d**3/6 - 10*d. Find the second derivative of w(i) wrt i.
120*i**2
Let y(d) = d**2 + 5. Let g(q) = 2*q**2 + 9. Let l(h) = -h**3 + 8*h**2 - 9*h + 9. Let t be l(7). Let x(s) = t*y(s) + 3*g(s). Differentiate x(p) wrt p.
2*p
Let d be (-9)/(-2) + 3/(-2). Find the second derivative of -l - 4*l**5 + d*l**5 - 2*l + 2*l**5 wrt l.
20*l**3
Let o(a) be the first derivative of -8*a**3/3 + 17*a**2/2 + 7. Find the second derivative of o(r) wrt r.
-16
Let o(y) be the third derivative of y**7/840 - 5*y**4/24 - 5*y**3/6 + 2*y**2. Let f(z) be the first derivative of o(z). What is the derivative of f(u) wrt u?
3*u**2
Let a(h) = -h**2 + 10*h + 1. Let i be a(10). Differentiate 7 + i - 3*w**3 - 9 with respect to w.
-9*w**2
Find the second derivative of -1 + q + 5*q**2 + 1 + q wrt q.
10
Let p(l) = l**3 - 5*l**2 - l + 7. Let f be p(5). Suppose -5*w = -2*n + 21, f*n - 2*w - 26 = -n. Find the second derivative of -n*h**5 + 7*h**5 - h - h wrt h.
-20*h**3
Let i(x) be the second derivative of -x**5/4 - x**4/12 + 4*x. What is the third derivative of i(u) wrt u?
-30
Let h(q) = -q. Let b(w) = 9*w**2 - 4*w. Let g(u) = b(u) - 5*h(u). Find the second derivative of g(f) wrt f.
18
Let q(d) be the first derivative of 5*d**3 + 43*d - 46. Find the first derivative of q(y) wrt y.
30*y
Find the second derivative of 11*a + 13*a**4 - 57*a**4 + 18*a**4 wrt a.
-312*a**2
Suppose 4*j + 4*g + 15 = 35, 0 = j + 4*g - 14. Let p be (-1*
|
{
"pile_set_name": "DM Mathematics"
}
|
q(k) = l*a(k) + 5*w(k). Determine b(q(f)).
14*f
Let d(o) = -2*o. Let p(a) = -17252*a**2. Give d(p(t)).
34504*t**2
Let h(n) = -n**2 + 89. Let f be h(9). Let m(g) be the second derivative of -f*g + 0 + 0*g**2 + 0*g**3 + 7/12*g**4. Let u(d) = d**2. What is u(m(c))?
49*c**4
Let d(p) = -17*p. Let f(x) = 6*x - 5. Let t = 18 + -18. Let i(k) = 0 + t + 4 - 5*k. Let u(q) = -4*f(q) - 5*i(q). Calculate d(u(a)).
-17*a
Let o(q) = -590*q**2 + 208*q**2 + 203*q**2 + 206*q**2. Let z(s) = -6*s**2. What is o(z(t))?
972*t**4
Let g(n) = n**2. Let c(q) be the first derivative of 23*q**3/3 + 61. Calculate g(c(i)).
529*i**4
Let l(a) = 3*a**2. Let v(t) be the second derivative of t**7/210 - 2*t**4 - 21*t. Let b(o) be the third derivative of v(o). Calculate b(l(j)).
108*j**4
Let z(p) be the third derivative of 0 - 3*p**2 + 0*p + 0*p**3 + 1/12*p**4. Let g(j) = 10*j**2. Let r(x) = -x**2. Let w(a) = g(a) + 6*r(a). Calculate w(z(m)).
16*m**2
Let k(y) = -4*y - 3*y + 3*y. Let a(o) = o**3 + 4*o**2 + 2*o - 2. Let j be a(-2). Let u(v) = -6 - j*v**2 + 9 - 3. Determine u(k(h)).
-32*h**2
Let d(b) be the second derivative of -b**7/1260 + 31*b**4/12 - 2*b - 17. Let h(m) be the third derivative of d(m). Let l(y) = 16*y. Determine l(h(x)).
-32*x**2
Let f(d) = 6359*d. Let n(o) = -o. What is f(n(h))?
-6359*h
Let g(r) = 43020*r**2 - 5*r. Let m(p) = -p**2. Calculate g(m(u)).
43020*u**4 + 5*u**2
Let c(y) = 59*y**2. Let s(t) be the second derivative of -t**3 - 303*t. Calculate s(c(m)).
-354*m**2
Let s(z) = 20*z. Let a(n) be the third derivative of 0 + 1/30*n**5 - 2*n**2 + 0*n + 0*n**4 + 0*n**3. Calculate a(s(d)).
800*d**2
Let n(b) = -3*b**2. Let h be 15/6 - (-2)/(-4). Let u(v) = v + 0 - 7 - v + 4*v**h. Let y(f) = f**2 - 2. Let k(s) = -4*u(s) + 14*y(s). Give n(k(w)).
-12*w**4
Let f(k) = 5*k**2. Let j(g) = 2067*g. Determine j(f(t)).
10335*t**2
Let b(x) = 36*x. Let o(z) = -5*z**2 - 4*z. Let q(a) = 95*a**2 - 45*a**2 - 49*a**2 + a. Let s(u) = -o(u) - 4*q(u). What is s(b(g))?
1296*g**2
Let d(m) = 4*m**2. Let z(a) be the second derivative of 0*a**2 + 1/2*a**4 + 0 + 39*a + 0*a**3. Determine z(d(r)).
96*r**4
Let s(j) = -j**2. Let t(n) = -185*n - 47. Determine t(s(c)).
185*c**2 - 47
Let u(d) = 2*d**2 + 40*d. Let z(o) = 25*o - 29. Calculate u(z(b)).
1250*b**2 - 1900*b + 522
Let z(l) = -2*l**2. Suppose -h + 10 = 4*u, -h + 6*h - 2*u = 6. Let p(b) be the first derivative of -21/2*b**h + 0*b - 2. Give z(p(t)).
-882*t**2
Let g(u) = 2*u. Let s(i) = -84*i + 4046. What is s(g(l))?
-168*l + 4046
Let x(j) = -6*j - 2*j + 2*j + 5*j. Let y(w) = 48*w**2 - 1. What is x(y(k))?
-48*k**2 + 1
Let n(s) = 193*s. Let j(o) = -o - 17. What is n(j(w))?
-193*w - 3281
Let q(h) = -235*h. Let m(c) be the second derivative of -c**3/3 - 133*c. Determine q(m(w)).
470*w
Let c(l) = -29*l. Let y(f) = 2*f + 783. Determine y(c(h)).
-58*h + 783
Let j(a) = -4*a. Let b(w) = -20*w + 2*w + 7*w + 14*w. What is b(j(n))?
-12*n
Let r(w) = 42344*w**2. Let a(i) = -i**2. What is a(r(y))?
-1793014336*y**4
Let f(t) = 3*t**2. Let p = -719 - -721. Let y(q) be the second derivative of 0*q**2 + 0 + p*q - 1/6*q**3. Calculate y(f(i)).
-3*i**2
Let d(y) be the second derivative of y**4/2 - y**2/2 - 236*y. Let z(r) = -5*r. What is d(z(u))?
150*u**2 - 1
Let u(j) be the second derivative of -14*j**3/3 + 30*j - 8. Let r(t) = -10*t. Determine r(u(n)).
280*n
Let z(v) = 2941*v. Let c(l) = -3*l. Calculate z(c(g)).
-8823*g
Let f(r) = -172*r. Let b(h) = -9*h. Give f(b(t)).
1548*t
Let g(n) = 6*n. Let s(u) = 44375*u**2 - u. Calculate g(s(c)).
266250*c**2 - 6*c
Let g(j) be the first derivative of 2/3*j**3 + 0*j - 42 + 0*j**2. Let w(u) be the third derivative of -7*u**4/24 - u**2. What is g(w(o))?
98*o**2
Let n be (-2)/(-4)*(27 - 17). Let m(v) = v. Let d(x) = -6*x. Let f(z) = n*m(z) + d(z). Let k(r) be the first derivative of -2*r**3/3 + 2. What is f(k(g))?
2*g**2
Suppose 3*n + 4*f - 46 = -11, -2*f = -n - 5. Let d(t) = -10 + 5 + n - t. Let q(j) = 6*j. Calculate d(q(z)).
-6*z
Let d(x) = -x. Let q(a) = 41611*a - 1. Give q(d(g)).
-41611*g - 1
Suppose -4*v = -2*v - 8. Suppose 2*a + 56 = v*f + 3*a, 0 = 5*f - 5*a - 95. Let w(d) = -24*d + f*d + 11*d. Let n(u) = 5*u. Calculate n(w(l)).
10*l
Suppose -4*b - 21 = -3*r, -2*r + 14 + 4 = -4*b. Let f be (-3)/(5/(10/b)). Let w(k) = 6*k**2 + 5*k**2 - 2*k**2 + 0*k**f. Let o(c) = c**2. Calculate w(o(l)).
9*l**4
Let g(u) be the second derivative of -7*u + 5/6*u**3 + 0*u**2 + 0. Let v(z) = -z**2. Let s(m) = 12*m**2. Let i(q) = -s(q) - 15*v(q). Give i(g(w)).
75*w**2
Let o(h) = 6*h. Let f(m) = 2*m - 3442. What is f(o(i))?
12*i - 3442
Let a(n) = 2*n**2. Suppose 0 = -2*l - 0*l. Let i = -45 + 47. Let q(f) = 0*f**i + l*f**2 + 2*f**2. Give q(a(p)).
8*p**4
Let s(m) = -4*m**2 - 7*m - 42. Let f(o) = -o**2 - 2*o - 12. Let d(j) = -7*f(j) + 2*s(j). Let b(r) = 348*r. What is b(d(x))?
-348*x**2
Let c(j) = -762*j. Let w(a) = -124*a**2 + 72*a**2 + 50*a**2. Give c(w(f)).
1524*f**2
Let v(x) be the first derivative of -8*x**3/3 + 459. Let h(o) = -19*o**2. Calculate v(h(g)).
-2888*g**4
Let i(m) be the second derivative of 0*m**2 + 0 + 9*m + 1/3*m**3. Let o(t) = 26*t. Determine i(o(n)).
52*n
Let y(v) be the first derivative of -v**2 + 29. Suppose 2*x = -n + 4, -5*n - x + 0 = -11. Let w(h) = 3*h**n - 2*h + 2*h. Determine y(w(t)).
-6*t**2
Let l(n) be the third derivative of 0*n**3 + 0*n + 3*n**2 + 0 - 1/8*n**4. Let v(k) = -5*k. Calculate v(l(r)).
15*r
Let h(g) = 4*g - 3. Let t be h(3). Suppose -4*f = -t*f + 25. Let l(d) = 4*d - 2*d - f*d**2 - 2*d. Let q(r) = -3*r. What is q(l(c))?
15*c**2
Let d(z) = -2*z**2 - 11221*z. Let p(n) = -2*n + 32. Determine p(d(r)).
4*r**2 + 22442*r + 32
Let w(b) = -274962*b. Let m(p) = 3*p**2. Determine m(w(q)).
226812304332*q**2
Let j(r) = -2*r**2. Suppose -w - 4*w - 180 = 0. Let a be (-3 - -1)*w/24. Let o(n) = 0*n + a*n + 5*n - n. Determine j(o(l)).
-98*l**2
Let a(m) be the first derivative of 2*m**2 - 146. Let y(s) = -29*s. Give y(a(v)).
-116*v
Let a(v) = -v**2 - 4*v. Let q(p) = 14*p**2 + 48*p. Let t(i) = 12*a(i) + q(i). Let g(j) = j**2 - j**2 + 15*j**2. Give g(t(b)).
60*b**4
Let x(w) = -w**2. Let t(h) = 6*h**2 - 6*h - 2. Let v(k) = -7*k**2 + 8*k + 3. Let s(r) = 4*t(r) + 3*v(r). Give s(x(i)).
3*i**4 + 1
Let l(m) = -2*m. Suppose -5*d = -3*d - 40. Let z(f) = 81 - 5*f + d*f - 81. What is l(z(p))?
-30*p
Let z(o) be the first derivative of 2*o**3 - 21. Let k(x) be the first derivative of -9*x**2/2 - 22. Determine z(k(n)).
486*n**2
Let g(q) = q**2. Let k(a) = 5291*a. What is g(k(s))?
27994681*s**2
Let y(r) = -28*r**2 - 22*r**2 - 25*r**2 + 76*r**2. Let h(a) = 188*a. What is y(h(s))?
35344*s**2
Let u(j) = 3*j. Let a(w) = -70*w**2 - 8*w. Give a(u(m)).
-630*m**2 - 24*m
Let v(d) = 0 + 0 - 3*d. Let z(p) be the second derivative of 29*p**3/6 - 708*p. Calculate v(z(q)).
-87*q
Let a(t) = 434*t. Let z(b) = 349*b - 692*b + 341*b. What is a(z(n))?
-868*n
Let l(m) = -3*m. Let b(q) = -39034*q. Determine b(l(x)).
117102*x
Let t(a) = -15827*a**2 - 6*a. Let s(d) = -d. Give t(s(j)).
-15827*j**2 + 6*j
Let h(f) = 8*f. Let t(u) = -77460*u**2. What is h(t(j))?
-619680*j**2
Let x(w) = -4*w. Let o(y) = -17*y. Let q(k) = -4*o(k) + 18*x(k). Let g(n) be the second derivative of n**4/6 + 7*n. Calculate g(q(f)).
32*f**2
Let r(l) = -136*l. Let z(b) = 100*b - 101*b - 8 - 6 + 14. Determine z(r(m)).
136*m
Let c(j) = 123*j. Let h(p) = -1492*p. Give c(h(q)).
-183516*q
Let b(k) = 7*k**2 - 3 + 3. Let y(g) = -2*g + 4. Let m(d) = -3*d + 5. Let q(o) = 4*m(o) - 5*y(o). Let z(f) = 2*f. Let j(c) = 2*q(c) + 3*z(c). Give b(j(l)).
28*l**2
Let y(g) = -5*g**2. Let l(x) be the first derivative of 142*x**3/3 + 459. Determine y(l(j)).
-100820*j**4
Let m(v) be the second derivative of 55*v**3/3 + v**2/2 - 4*v - 5. Let h(t) = t. Determine h(m(q)).
110*q + 1
Let u(w) be the third derivative of 17*w**4/24 + 96*w**2. Let o(m) be the first derivative of -m**3/3 - 8. Give u(o(v)).
-17*v**2
Let a(v) = -v**2 + 9*v - 5. Let w be a(8). Suppose 4*n - 19 = -w. Let p(o) = -6*o**2 + 0*o**2 - n*o**2. Let x(k) = -k**2. What is x(p(t))?
-100*t**4
Let w(q) = 2*q. Let g(y) = -107*y**2 - 2. Let r(p) = 102*p**2 + 3. Let j(m) = 3*g(m) + 2*r(m). What is w(j(d))?
-234*d**2
Let c(k) be the second derivative of -k**4/12 - 282*k. Let w(p) = 2*p**2 - p**2 + 13*p**2. Give c(w(v)).
-196*v**4
Let n(k) = 2*k**2 - 6*k. Let
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{
"pile_set_name": "DM Mathematics"
}
|
-5/11
What is -55 - ((48/(-3) - -8) + (-4)/4)?
-46
What is -21 + ((-1)/(-3)*(-65 - -64))/((-34)/714)?
-14
What is the value of (5/3 - (-114)/(-684))/(78/20)?
5/13
160/54*(30/(-600) + (1276/80)/(-11))
-40/9
Evaluate (-44)/6*(-4221)/(-737).
-42
-15 + 96148/1144 - 5/110
69
Calculate (23/92)/(30/(-5280)).
-44
(286/(-13) - 4464/(-132)) + -12
-2/11
What is (-52)/(-90) - (30/(-35))/(110/154)?
16/9
What is the value of 2874/(-48) - 2350/752?
-63
Calculate (-16)/(-14)*-1 - (52 - (-20840)/20)/(-14).
77
What is (-19450)/(-405) + 228/(-2673) + 48/792?
48
Evaluate 39 - 6/((-216)/612).
56
Calculate (((-14)/(-6))/(3/(-36)))/(-193 - (-68849)/363).
42/5
Evaluate 18/504*-35*(-24)/(-100).
-3/10
Evaluate ((-46002)/(-3927) - 4/(-14))/4.
3
What is (-3038595)/42399 + (-16)/(-6)?
-69
Evaluate (3897 - 3867)/(0 - 1/6 - 11/33).
-60
What is 2/14*-10 - ((-24700)/(-13832))/(5/(-18))?
5
What is 10 - (-12 + (9/(-33) - 83676/(-3344)))?
-11/4
(-679)/35 + ((-12)/(-150)*-145 - -11)
-20
Evaluate (10692/1386)/(260/(-91)).
-27/10
363/297*9/33 + 2420/(-7080)
-1/118
What is -10 + (-144)/126 + (-12 - 24)/(-4)?
-15/7
What is -20 + (-1170)/45 - -52?
6
862/3879*162/13
36/13
Calculate (-3 + (-1175)/(-423))/((-12)/(-2538)).
-47
Calculate (214/1070)/(-3 - (-3 - 5/(-1225))).
-49
What is 1 - 2 - (3/14 + ((-1109590)/13804)/61)?
3/29
Evaluate (-54)/(-24) - ((-83793)/(-340))/53.
-12/5
What is the value of ((10 - 8)/((-168)/(-7)))/(152/32 - 3)?
1/21
Calculate 12/(-10)*(-626)/(-313)*(-170)/8.
51
What is 1905/33 - 39928/54901?
57
What is the value of 33 - ((-1184)/(-1036) + (-48)/42)?
33
(7/((-315)/(-8)))/(((-99176)/(-230))/154)
4/63
What is the value of 234/(-286)*(4 + -5)?
9/11
Evaluate ((-21)/(210/(-20)))/((28/(-231))/(-2)).
33
What is the value of (-67 + 69)*16/(-136)*(12 - 8)/(-4)?
4/17
What is the value of (-366)/244*1960/756?
-35/9
Calculate (-29 - (7 - 4)) + 686 + -726.
-72
(-65)/(260/(-16))*-18
-72
What is 98/5831*-6657 - -112?
2/17
(-39711)/(-744) + -9 - 6/16
44
(-25)/95*86/215
-2/19
Calculate 57/(-21) - 46098/(-2758).
14
What is the value of (9/(-15) + (-120)/300)*(-44 - 3)?
47
(-50)/(-8) - ((-4366)/(-177) - 26)/(4/(-21))
-3/4
Calculate (0 - (-2)/4)*13468/(-104377).
-2/31
What is the value of (344/18)/(62/558)*((-18)/(-8) + -2)?
43
Evaluate 3/(-8)*(-7)/18*(-36376)/159145.
-1/30
What is 36 + ((-40)/14)/((-9)/((-1197)/(-38)))?
46
What is the value of -6 - ((-25)/(-4))/((-2)/(-8))?
-31
((-1)/105)/(2086/2980)
-2/147
Evaluate (-2036)/(-1527)*(((-70)/25 - -3) + 467/(-10)).
-62
What is the value of (-4)/(-68) - (41 + 11908/(-442))?
-14
-22 - (-2082)/(-3402)*-36
2/63
Calculate 414/(-1242) + (-2660)/84.
-32
Evaluate (12 - 21/(-33))*(-22)/(-4)*(57 - 55).
139
What is the value of ((-2162043)/(-19305) - 76) + -36?
-1/165
Evaluate (90/(-39))/(853/33267).
-90
What is the value of -2*(-8)/(-64) - (323/48 + -7)?
1/48
Calculate 170/17 - (-2 + (-60)/(-150)*235/(-2)).
59
(-1*2/(-12))/(47520/(-1560768)) - (-2)/27
-27/5
Evaluate (-10*22/100)/(2/(-40)).
44
Calculate (1/21)/(((-247)/38)/((-9)/(-6))).
-1/91
What is the value of ((-48)/(-40))/((-546)/(-110) + -5)?
-33
What is (3/9)/1 - (21 - (-1700)/(-75))?
2
What is 10/4 - (19/(684/(-351)) - -7)?
21/4
(-584)/(-15476) - (-7326)/(-318)
-23
Calculate (0 - -10*1)/(3933/114 - (39 - 4)).
-20
(258 - (-371637)/(-1428))*16/15
-12/5
Evaluate -8 - (-10 + (-234)/(-65)).
-8/5
(-267)/6 - -7 - 12/((-48)/10)*6
-45/2
Calculate -127 - (83472/74)/141.
-135
Calculate (((-43134)/30)/(-7) + 36/60)/(-2).
-103
What is the value of (-53)/(1537/(-783))*-2 + -31?
-85
819/(-1638)*12/144
-1/24
What is the value of (-3 - (-51)/15)*((-3075)/(-50))/(-41)?
-3/5
What is -5 + (-38)/(-10) - 322*((-1424)/(-160) - 9)?
31
Evaluate (-6)/(-15) + (2 - (-14 - -5)) + (-18828)/1620.
-2/9
Evaluate 2075/(-1660)*7/(-10).
7/8
What is (53 + 441/(-9))*(-1)/(-124)?
1/31
Calculate (13 - (-14)/(-10)) + (-9 - -2) + (-7)/1.
-12/5
(-468)/15 - 2308/2885
-32
What is the value of (1081/2162)/(5/(-790))?
-79
Evaluate (-4 - 170/(-45)) + 1889056/17784.
106
((-88954)/19142)/((-7)/(-119))
-79
Evaluate (10 + ((-184)/20)/1)/((-2)/(-55)).
22
7980/31850 + ((-2)/9)/((-6895)/1773)
4/13
What is (-1)/((-1)/(-40))*((-6480)/(-225))/(-16)?
72
(-7 + 21 - 8)*(-30 - 14074/(-465))
8/5
What is the value of (((-16)/180)/((-33)/2376*16))/(4/30)?
3
(81/(-1458))/(913/332)
-2/99
What is the value of (8/(-45))/(7912/9890)?
-2/9
(-1 + -2 - 822/(-315)) + (-5325)/(-15975)
-2/35
3434/(-606) - (-14 - -3 - (-7 - -6))
13/3
(-1 - 0)*2 + (235200/1360)/84
1/17
Evaluate (3/3)/(5/(5/((-7)/7))).
-1
What is the value of (((-5)/15)/((-5)/30))/((250/(-575))/5)?
-23
Calculate 4177568/45904 - 21/3171.
91
What is 117 + -15*3068/780?
58
Calculate (-1969)/(-165) + -12 - (-34)/(-5100)*12290.
-82
What is (78/(-143))/((-471)/6908)?
8
What is the value of (-28 - (-14212)/510)/(10*(-8)/(-1300))?
-13/6
Calculate 1015/(-50) + 260/13 - 186/180.
-4/3
Evaluate 3465/2002*(-48)/(-180).
6/13
(-18 + 19 - -9) + (4/172 - 10)
1/43
What is the value of 9*(5 + 168/(-54)) + 184/4?
63
Calculate (-33)/5 + 573764/(-7510).
-83
What is -21 + (0 - -44 - 26)?
-3
What is 12/2 + 245/(-40) + ((-26775)/56)/(-17)?
28
Calculate (-105)/462*(-6)/5.
3/11
What is (4320/(-140) + 30)/(-5 - 2076/(-420))?
15
Calculate (870/(-80)*(-12)/9)/((-99)/396).
-58
Calculate 805/46*6/(-28)*-2*(-484)/(-66).
55
(62040/1692)/((-25)/(-30))
44
What is the value of (6/(-8))/(((-12)/(-109))/4) + 1223/4892?
-27
What is -6*(19 + -47)/(-3864)?
-1/23
What is (-90)/(-10) - (-32)/(-160)*15?
6
What is (-3)/((-45*4/(-1360))/(9/(-12)))?
17
(-1)/((-116235)/(-10332) - (63/6 + -2))
-4/11
Evaluate 2*11/(-1918 + 92).
-1/83
What is (-2632 + 2700)*((-3)/6)/(4/(-8))?
68
16/(-114)*870/5800
-2/95
What is the value of ((-184)/(-5520))/((-1)/(-2))?
1/15
Calculate (-8 - 88)/(-16) + 544/(-96).
1/3
What is the value of (-40373)/(-611) - -73 - (553/91 - 6)?
139
What is (-178313)/98260 + 12/(-10) + 3?
-1/68
Evaluate 1234 - 1254 - (-2)/(-188)*-1874.
-3/47
Evaluate (-1 - (-112)/(-6)) + 140/252*(-12)/20.
-20
Evaluate (-2 + -5)*(-644)/(-20286)*(-18)/182.
2/91
What is (-84)/2*-1*(-305)/(-5490)?
7/3
What is the value of 2981/616 + -3 + 492/1722?
17/8
Calculate 2065/(-236) + 92/16 + -31.
-34
924/(-385) - (1 - (-217)/(-5)) - 14
26
What is the value of 16/(-12) + -2 + 42/18 - 1?
-2
Evaluate (-143)/39 + (320/24 - 12).
-7/3
Calculate ((-28)/(-3))/((-13 - (-759)/55)/(72/30)).
28
Evaluate (15/(-20) - (-60)/48) + ((-3555)/(-6))/(-15).
-39
(51*(-36)/(-918))/(3 - 35/11)
-11
What is the value of 2209425/206925 + -6 + (0 - -3) - 8/1?
-10/31
((-10914)/9095)/((-6)/10)
2
6/(-13) + (8 - (3093/312 - 2))
-3/8
Calculate (-84)/(-24) + 13734/436.
35
What is (2 - 19/10)*75/(-10)*14532/(-1557)?
7
Evaluate (-60)/434*(-1043)/745.
6/31
Evaluate (7 - (-310)/(-70))*294/(-420).
-9/5
Calculate ((-2004)/28557)/((-528)/135 - -4).
-15/19
Calculate ((-44)/275)/(-2)*(-145)/(-261).
2/45
1953/434 + ((-813)/318 - 2)
-3/53
(116/(-60) + (-102)/255)*(0 + (-1 - -3))
-14/3
What is the value of (1 + -8)*(3/(-4515))/(21/(-630))?
-6/43
Calculate (-196)/6762 - (-3056)/690.
22/5
What is the value of (11979/198 - 60)/(2/(8/30))?
1/15
((-2271)/(-33) - -2) + 6/176*80/15
71
Evaluate 23161/318 - (19 + (-1573)/78).
74
Calculate (-247)/(-19) - ((-13 - -22) + -67).
71
((-2160)/401760)/((-1)/18)
3/31
Calculate 3800/3100*(-1085)/140.
-19/2
What is (57 - (-175639)/(-3108) - 6/(-63))*2/(-70)?
-1/60
Calculate (3900/132 - 58) + 29.
6/11
Calculate -18 + 117/6 + (-294)/4 + 4.
-68
What is (-4)/(800/(-64) - -13) + -15 + 1?
-22
Calculate ((-7548)/962)/(38/(-247)).
51
Evaluate 26/20*2896/(-9412).
-2/5
What is the value of ((3724/(-114))/(-14))/(15/9)?
7/5
Calculate 2/((-32)/(-84)*7/12).
9
Evaluate 15/(45/(-4))*(-1 + 44/40)*6.
-4/5
What is (102 - 18837/182)*(-1 - (-14)/(-18))?
8/3
Evaluate ((-22)/(-3))/(35/((-37800)/1230) + 15/12).
66
What is the value of 1*(-22 + 4) + (4 - -5)?
-9
What is the value of ((-714)/(-510) + 84/(-10))*9?
-63
Calculate 3668*69/(-3059) - -83.
5/19
Calculate -43 - (-66 + -29 + 13).
39
Calculate (-1792)/7497 + (-1 + 0 - 3*33/(-81)).
-2/119
(162/12)/(102/(-68)) - 5
-14
3/2*(1/9 + -63 + (-539336)/(-8568))
3/34
(-455)/154 - (-35)/10 - (5 + 4846/(-1078))
2/49
Calculate 109 + 42*348/(-812).
91
What is 1107/(-12285)*15 + (-3)/(-7)?
-12/13
(-16*(-17)/1360)/((-13)/2665)
-41
Calculate -25 + (-19 + 4)/(90
|
{
"pile_set_name": "DM Mathematics"
}
|
l = -109 - s. Does 13 divide l?
True
Suppose 60*k - 52*k + 112 = 0. Is 0 - (-1225)/k*-2 a multiple of 25?
True
Suppose 2*p = 2, 5*h + 3*p - 34 - 44 = 0. Suppose -22 = 2*b - 64. Suppose h = 2*m - b. Does 7 divide m?
False
Let b(o) = 2*o + 31. Let v be b(-14). Suppose -114 - 876 = -v*q. Suppose 5*c + q = 15*c. Is c a multiple of 13?
False
Let s be 2/11 - (-46)/(-11). Let q(g) = -3*g**2 - 14*g - 6. Let d be q(s). Suppose 183 = 2*h - 3*k + d*k, h = -k + 99. Is h a multiple of 49?
False
Suppose 10 = 2*c - w, 2*c + w = -4*w + 10. Is 7 a factor of (-21)/3*-7*c?
True
Let j be (4/(-3))/((-1)/(-5 - -8)). Suppose 331 = j*v - 549. Is v a multiple of 10?
True
Is 2 a factor of (-7 - -1*(-51 - 1))*-4?
True
Let u(i) = -i**3 + 59*i**2 - 292*i - 19. Is u(50) a multiple of 71?
True
Suppose 27 = 8*a + 27. Suppose -8*l + 2878 - 774 = a. Does 59 divide l?
False
Suppose g + 3 = x - 2, 2*x - 1 = 5*g. Is 52 a factor of 98427/172 - 2/x?
True
Let v = 36328 + -15651. Is 13 a factor of v?
False
Suppose -246 = 48*u - 93*u + 43*u. Let k = 728 + -479. Let c = k - u. Is 14 a factor of c?
True
Suppose -4*b + t + 10 = -2*t, 6 = 2*b - t. Suppose 5*r - 311 = 2*u, 6*r = 4*r + b*u + 134. Let h = r + -37. Is h a multiple of 6?
True
Let d = 19 + -47. Let x(m) = -m**3 - 30*m**2 - 63*m + 2. Is x(d) a multiple of 22?
True
Suppose 2*q = -0*q + 2. Suppose 2*h + 2*u = 282, 0 = -2*u + 3*u - q. Suppose 11*a + h = 13*a. Does 7 divide a?
True
Let t(d) = 11853*d + 418. Is t(2) a multiple of 163?
True
Suppose 2*l = -3*y + 12, y + 0*y - 4 = 0. Suppose l*h - 30 = -5*h - a, -h - 5*a = -30. Suppose -455 = -3*v - o + 223, h*o - 666 = -3*v. Does 11 divide v?
False
Does 10 divide ((-1512)/(-81))/((-20)/(-2130))?
False
Suppose -10*b = -7*b + 3*c + 15, b = 5*c - 11. Is b/8 - -1 - (-123616)/128 a multiple of 37?
False
Let i = -1005 - -393. Let x = i + 954. Is 18 a factor of x?
True
Let z(f) = -f**2 - 13*f - 2. Suppose r = -2*r - 12, 24 = -4*q - 2*r. Let l be 86/(-7) - q/14. Is 6 a factor of z(l)?
False
Suppose 0 = -4*z, -3*c = 2*z - 10360 - 9494. Is 96 a factor of c?
False
Let w = -9900 - -15765. Is 115 a factor of w?
True
Is (4 - 2) + (4 + 0)/(6/8139) a multiple of 9?
False
Suppose -748 = z - 5*z. Let n(h) = -h**2 + 2*h + 280. Let o be n(-17). Let y = z + o. Is 24 a factor of y?
True
Let y(c) = -c**3 - 2*c**2 + 2*c + 3. Suppose 2*a = 4*a - 5*p - 1, -a + 4*p = -2. Let h be y(a). Let n(s) = -281*s + 3. Is n(h) a multiple of 25?
False
Let o = 17496 + -10107. Is o a multiple of 9?
True
Suppose 18*l - 1000 = 2528. Let t = l - -170. Does 7 divide t?
False
Suppose -5*b = -10, 2*b + 86 = x - 9060. Does 30 divide x?
True
Let t = -10100 + 11700. Does 20 divide t?
True
Is -4*(174/60 + -3) + (-145512)/(-45) a multiple of 49?
True
Let w(z) be the second derivative of -z**4/12 + 14*z**3/3 - 33*z**2/2 - 85*z. Is w(13) a multiple of 27?
True
Let b = 19097 + -12651. Is b a multiple of 3?
False
Let q = 472 + -210. Let z = -173 + q. Is 6 a factor of z?
False
Suppose t + 4*b = -14, -b = -4*t + 4 + 25. Let k be 38/t - (-5)/(-15). Suppose -7*l = -k*l - 8. Is l a multiple of 3?
False
Let r = -298 - -235. Let d = r + 248. Is d a multiple of 30?
False
Let b(t) = t - 64. Let d be b(0). Let l be -6*d/12 + -2. Suppose 4*f + l = 6*f. Is f a multiple of 2?
False
Suppose -70*q + 122*q + 262*q - 5314764 = 0. Is 14 a factor of q?
True
Let i(q) = q**2 - 8*q - 25. Let g be i(-4). Suppose -g*n + 1824 = -1626. Does 27 divide n?
False
Suppose -3*i - 9*t = -13*t - 24, -3*i - 3 = 5*t. Suppose 0 = -4*l - 2*x + 132, l = -x - i*x + 42. Is 2 a factor of l?
True
Let v(q) be the second derivative of -q**4/12 + 19*q**3/3 - 33*q**2 + 62*q. Is 12 a factor of v(31)?
False
Let t(b) = -b**3 - 8*b**2 + b - 7. Let f be t(-8). Let p(u) = u**3 + 14*u**2 - 27*u. Is 18 a factor of p(f)?
True
Let t be 2 + 28 + 0 + (3 - 2). Let a = 34 - t. Suppose k + 4 = 0, -2*p = k + a*k - 32. Does 24 divide p?
True
Suppose 0 = m + 5*l - 2558, 12*m - l = 19*m - 17838. Is m a multiple of 7?
True
Let h(v) = 72*v - 36. Let z be h(3). Suppose 0 = -32*b + 35*b - z. Does 12 divide b?
True
Let p be 319/1 - (12 - 14). Does 5 divide -4 + 10/(-80) + p/8?
False
Suppose 0*p - 4*p = -20. Suppose 161 + 204 = -p*i. Let j = i + 110. Is 4 a factor of j?
False
Let u be -1 + (6/(-15))/((-4)/10). Suppose 5*k + 48 + 52 = u. Is 44 a factor of (-7)/(63/30)*408/k?
False
Suppose d + 62244 = 15*d. Suppose 77*u - 80*u = -d. Is u a multiple of 83?
False
Let b = -711 - -409. Let i = -158 - b. Is 14 a factor of i?
False
Let y(v) = -3*v + 7. Let w be y(6). Let r = 15 + w. Suppose r = f - 245. Is f a multiple of 44?
False
Let i = -153 - -154. Is 2 a factor of -12*i/(-4)*1?
False
Let l be (-5)/(-15) - 16/(-6) - 1. Suppose 2*q - 3*j - 333 = -3*q, 0 = l*j + 2. Suppose -2*d + q = -38. Is 13 a factor of d?
True
Suppose 0 = -2*c - 9*c + 979. Suppose 5*g = -k + 224, 0 = -0*g + 2*g + k - c. Does 17 divide g?
False
Suppose 3*q - 3*f - 3579 = 0, -12*f + 2368 = 2*q - 8*f. Suppose 0 = -5*j + 2*z + 873 + 5068, j - z = q. Does 26 divide j?
False
Let j(q) = 394*q - 622. Is 22 a factor of j(19)?
True
Let w be (-1218)/(-238) + 2/(-17). Suppose -2*t - 4*k = -614, -4*t + w*k + 1178 = 3*k. Is 2 a factor of t?
False
Let q(w) be the first derivative of -w**2/2 + 95*w + 15. Does 9 divide q(-17)?
False
Is 10 a factor of (-84420)/(-162) - 40/36?
True
Let t = -2011 - -16566. Does 41 divide t?
True
Suppose 35 = 5*t + 5*i, -3*i + 20 = 5*t - i. Suppose 0 = r + 5*s + 38, 272 = -2*r - t*r + 4*s. Is (1 + 50)*(-21)/r a multiple of 3?
False
Suppose 15 = -k - k + 5*y, -7 = 2*k + 3*y. Let i(w) = -2*w**3 - 5*w**2 - 2*w - 7. Let r be i(k). Suppose r = 4*c - 16. Is c a multiple of 4?
True
Suppose -3*s - 8 = 1. Suppose -89*p + 128 + 50 = 0. Is p/s*(-2700)/24 a multiple of 15?
True
Let t = -8 - -10. Suppose -t*z - 4 = -4*z. Does 20 divide 9/42*40*(16 - z)?
True
Let b(n) = 11 + n + n**2 + 3*n + 1. Let s = -2742 + 2733. Is 19 a factor of b(s)?
True
Let s(x) = 2*x**2 - 59*x + 675. Is s(13) a multiple of 39?
False
Let d(n) = n - n + 3*n - 6*n. Let g be (-1)/(2/18) - (9 + -5). Is d(g) a multiple of 13?
True
Let w(k) = 5*k + 29. Let y be w(-5). Suppose y*g - 1519 = -5*o, -o + 610 = o + g. Suppose 3*h - o - 206 = 0. Is 24 a factor of h?
False
Let b(m) = -765*m + 2448. Is 153 a factor of b(-24)?
True
Let z(a) = 42*a**2 + 2*a - 2. Let j be z(1). Let x = -46 + j. Let q(w) = -7*w + 5. Is 11 a factor of q(x)?
True
Let x be 2*((-3)/9)/(3/(-9)). Suppose o - g + 5*g - 187 = 0, x*o - 374 = -4*g. Is o a multiple of 17?
True
Let x = -11008 - -14448. Is 40 a factor of x?
True
Suppose 5*r - 3*p = 62809 - 8224, 5*p = r - 10895. Is 10 a factor of r?
True
Suppose 4*v = 5*h + 13654, 2*v + 9*h - 8*h - 6834 = 0. Is v a multiple of 28?
True
Let w(k) = -218*k + 11927. Does 8 divide w(-102)?
False
Let m(a) = -a**2 + 69*a + 222. Is m(39) a multiple of 16?
True
Suppose 4*b + 4*k = -0*b - 428, 0 = -3*k. Let w be b/2*(-10 - -6). Suppose 2*p = -3*m + w, 3*p - m - 199 = 100. Does 12 divide p?
False
Suppose -24 = 19*h - 25*h. Suppose -5*z = -2*l + 210, 2*z - 473 + 29 = -h*l. Does 55 divide l?
True
Suppose 4*n + 14 = -3*t, 3*n - 10 = 5*n. Let o be t/(-6) - 70/(-30). Suppose o*c - 3*c = 3*j - 54, 0 = 4*c + 3*j - 261. Does 16 divide c?
False
Suppose -n = 6*u - 356, 165*n - 160*n = -u + 1751. Does 29 divide n?
False
Suppose 6170 = 2*t - 4*b, -4*b + 11205 - 2000 = 3*t. Is t a multiple of 41?
True
Let h = -15 - 153. Let j = 802 + h. Is 50 a factor of j?
False
Let f = -53 - -155. Suppose 0 = 107*q - f*q - 20. Suppose -3*b + 204 = -3*k, 0*k - 254 = -q*b - 2*k. Is b a multiple of 13?
True
Let s(b) = 270*b + 1249. Let x be s(-5). Let u = -56 - -215. Let i = u - x. Is 33 a factor of i?
False
Let q(b) = -3*b**3 - 8*b**2 + 10*b - 321. Is q(-12) a multiple of 57?
True
Suppose 531 = 30*n - 89*n. Let r(l) = -45*l - 163. Is r(n) a multiple of 14?
False
Suppose 78*z + 94430 = 220*z. Is 7 a factor of z?
True
Let y = -122 - -140. Suppose y*z - 6420 = 3*z. Is z a multiple of 21?
False
Suppose 0 = 652*y - 598*y - 504522. Is 5 a factor of y?
False
Suppose -2*h - 2*y + y - 190 = 0, -4*y = -h - 86. Suppose 5*t - 3*v = -207, -3*t - v = -6*v + 121. Let n = t - h. Does 21 divide n?
False
Is 2191*21/49 + -4 a multiple of 17?
True
Let d(h) = 172*h + 2384. Is 44 a factor of d(68)?
True
Let l = 99 - 297. Let u
|
{
"pile_set_name": "DM Mathematics"
}
|
1}. Give prob of sequence bku.
1/168
Calculate prob of sequence uum when three letters picked without replacement from ugahuhgmahha.
1/660
Calculate prob of sequence gi when two letters picked without replacement from {g: 1, h: 1, n: 4, t: 1, i: 4, q: 1}.
1/33
Calculate prob of sequence nnu when three letters picked without replacement from {u: 3, a: 1, n: 3}.
3/35
Two letters picked without replacement from jgtvx. What is prob of sequence xg?
1/20
Calculate prob of sequence ehh when three letters picked without replacement from {e: 3, h: 4}.
6/35
Calculate prob of sequence opo when three letters picked without replacement from zozozzoopopzzz.
5/273
Calculate prob of sequence uun when three letters picked without replacement from {f: 1, u: 2, n: 1}.
1/12
Calculate prob of sequence fff when three letters picked without replacement from {t: 5, f: 3, e: 3}.
1/165
Two letters picked without replacement from bfcij. Give prob of sequence ij.
1/20
Calculate prob of sequence tqf when three letters picked without replacement from ffqptmfqfqmmqqffqm.
1/136
Two letters picked without replacement from tpqpttpmjmpcjjpppp. What is prob of sequence tq?
1/102
What is prob of sequence ll when two letters picked without replacement from llttltt?
1/7
What is prob of sequence ii when two letters picked without replacement from irieeeeiieuee?
1/13
Calculate prob of sequence saa when three letters picked without replacement from aaaaaaaaaasakaa.
2/35
Three letters picked without replacement from {r: 1, a: 2}. What is prob of sequence aar?
1/3
What is prob of sequence ff when two letters picked without replacement from feefee?
1/15
What is prob of sequence ap when two letters picked without replacement from {a: 1, e: 16, p: 1}?
1/306
Calculate prob of sequence odd when three letters picked without replacement from {f: 5, a: 3, o: 4, d: 4}.
1/70
Three letters picked without replacement from sslzssll. Give prob of sequence lzs.
1/28
Two letters picked without replacement from qaqqqqaqqqq. Give prob of sequence aa.
1/55
Two letters picked without replacement from bbttttbt. What is prob of sequence bb?
3/28
Four letters picked without replacement from jjrpjjjjjjjqjjpjqrxp. Give prob of sequence qppr.
1/4845
Two letters picked without replacement from ogeo. Give prob of sequence oe.
1/6
Three letters picked without replacement from jwuwwaqwuwjwwqwwaqa. Give prob of sequence awq.
9/646
What is prob of sequence qv when two letters picked without replacement from {o: 1, q: 2, k: 4, s: 1, v: 2}?
2/45
What is prob of sequence nmf when three letters picked without replacement from {x: 1, m: 1, k: 6, n: 4, f: 6}?
1/204
What is prob of sequence jjnj when four letters picked without replacement from {j: 7, n: 4}?
7/66
Calculate prob of sequence qz when two letters picked without replacement from {q: 1, z: 1, t: 2}.
1/12
Three letters picked without replacement from pzrzrrzzrz. What is prob of sequence rpr?
1/60
Two letters picked without replacement from guog. Give prob of sequence ou.
1/12
What is prob of sequence uuu when three letters picked without replacement from uuuguuuuuuuuuguuuu?
35/51
Three letters picked without replacement from rcru. What is prob of sequence rcu?
1/12
Four letters picked without replacement from {n: 3, x: 4, j: 4, q: 3}. What is prob of sequence jxjx?
6/1001
Two letters picked without replacement from jjibjbj. Give prob of sequence ib.
1/21
Four letters picked without replacement from {h: 1, i: 4, c: 9, e: 2}. What is prob of sequence eehi?
1/5460
What is prob of sequence gl when two letters picked without replacement from {u: 6, h: 3, g: 1, w: 4, r: 2, l: 3}?
1/114
Calculate prob of sequence dd when two letters picked without replacement from aaaadadaaa.
1/45
Two letters picked without replacement from {p: 2, r: 1, d: 2, w: 1, v: 1, x: 1}. What is prob of sequence pw?
1/28
Calculate prob of sequence myms when four letters picked without replacement from yrrrysmrsrmy.
1/990
What is prob of sequence wqqw when four letters picked without replacement from qwwqwq?
1/10
What is prob of sequence ddd when three letters picked without replacement from {k: 1, i: 3, d: 3}?
1/35
Calculate prob of sequence jnfj when four letters picked without replacement from nbbffbnjj.
1/378
Two letters picked without replacement from {i: 6, n: 8, j: 1}. Give prob of sequence ii.
1/7
Calculate prob of sequence ty when two letters picked without replacement from ttsftcyyft.
4/45
Calculate prob of sequence jje when three letters picked without replacement from ajajhaadjdoehejdjdde.
1/114
Calculate prob of sequence tbma when four letters picked without replacement from xacctabmx.
1/1512
Two letters picked without replacement from ivrvrrvyrirvdrr. Give prob of sequence vy.
2/105
Calculate prob of sequence bbq when three letters picked without replacement from {b: 2, q: 1}.
1/3
Calculate prob of sequence wyby when four letters picked without replacement from wbyqwwywl.
1/378
Two letters picked without replacement from xboxxobobxxbboxx. Give prob of sequence bo.
1/12
Two letters picked without replacement from {r: 1, c: 3, l: 1, p: 7}. Give prob of sequence rl.
1/132
Two letters picked without replacement from vvvvvcrruvfvrefvcevr. Give prob of sequence ff.
1/190
Three letters picked without replacement from gnnktgtnpngggtktgg. Give prob of sequence ttt.
1/204
What is prob of sequence kkck when four letters picked without replacement from kkkckkkcckckc?
14/143
Four letters picked without replacement from {m: 7, j: 4, i: 5}. Give prob of sequence mmmm.
1/52
What is prob of sequence px when two letters picked without replacement from {p: 1, o: 1, x: 2}?
1/6
Two letters picked without replacement from iiiicici. Give prob of sequence cc.
1/28
Calculate prob of sequence bbkb when four letters picked without replacement from kbbkbbkkbkkbk.
7/143
Three letters picked without replacement from {b: 6, s: 5, q: 2}. Give prob of sequence bsq.
5/143
What is prob of sequence pt when two letters picked without replacement from gtyopppoyupypyy?
1/42
Two letters picked without replacement from pwytpkyypyky. Give prob of sequence pt.
1/44
What is prob of sequence oppo when four letters picked without replacement from {p: 3, o: 17}?
4/285
What is prob of sequence wqc when three letters picked without replacement from {x: 10, w: 1, r: 1, c: 1, q: 1}?
1/2184
Four letters picked without replacement from {q: 4, g: 3}. Give prob of sequence qqqq.
1/35
Two letters picked without replacement from xxdxixdaxfdaasxxxf. Give prob of sequence sx.
4/153
Calculate prob of sequence rf when two letters picked without replacement from {i: 4, f: 4, r: 2, k: 4}.
4/91
Three letters picked without replacement from {c: 2, f: 11, o: 7}. What is prob of sequence fco?
77/3420
What is prob of sequence gdpd when four letters picked without replacement from {g: 2, d: 2, v: 1, x: 6, p: 4}?
2/4095
Calculate prob of sequence aa when two letters picked without replacement from {a: 7, c: 3}.
7/15
Four letters picked without replacement from nlenlnennlde. Give prob of sequence deee.
1/1980
Two letters picked without replacement from eepxeeuex. Give prob of sequence ex.
5/36
Two letters picked without replacement from {b: 1, x: 1, v: 3, u: 5, t: 4, w: 6}. What is prob of sequence bw?
3/190
Four letters picked without replacement from {k: 2, q: 2, r: 1, g: 2, v: 1}. Give prob of sequence vqgq.
1/420
Calculate prob of sequence ee when two letters picked without replacement from etvevvhekvvv.
1/22
Three letters picked without replacement from {v: 1, r: 1, o: 5, g: 3}. What is prob of sequence rgv?
1/240
What is prob of sequence mnt when three letters picked without replacement from tmmn?
1/12
What is prob of sequence my when two letters picked without replacement from mmnynimnmfmfnimzfi?
1/51
Four letters picked without replacement from qwqwqqwwwqg. Give prob of sequence qwwg.
5/396
Four letters picked without replacement from zzyzqzzqzyzqqqyzq. Give prob of sequence zyqz.
3/170
Calculate prob of sequence jjt when three letters picked without replacement from jtjjjjtjjj.
7/45
Calculate prob of sequence px when two letters picked without replacement from oxxpxpxoxoxpxoxpx.
9/68
Four letters picked without replacement from {u: 1, c: 1,
|
{
"pile_set_name": "DM Mathematics"
}
|
s 26 divide o?
False
Let s = -8 + -5. Let m = s + -12. Is ((-20)/25)/(1/m) a multiple of 8?
False
Let q(w) = -w**3 - 8*w**2 - 9*w - 9. Let o be q(-7). Suppose -o*h - 5*m = -5, 0 = -0*h + 3*h - 2*m - 18. Suppose -18 = 2*v - h*v. Is 6 a factor of v?
False
Let v(d) = 2*d - 6. Let l be v(12). Suppose 0 = 3*h + 3 - l. Suppose h*u - 205 + 11 = 3*s, -5*s = u - 50. Does 10 divide u?
True
Let i = -7 + 14. Suppose -3*y + i*y - 8 = 0. Is 2 a factor of y/(6/9) - -3?
True
Suppose -2*i - 24 = 2*i. Does 7 divide (-14)/(-1)*(12 - (11 + i))?
True
Let m(w) = -w**3 - 5*w**2 + 7*w + 14. Let u be m(-6). Suppose -u*i - 124 = -12*i. Is i a multiple of 4?
False
Let x(j) = -2*j + 16. Let k be x(-8). Let h = 52 + k. Is 7 a factor of h?
True
Is (-14031)/(-8) - 3*6/(-144) a multiple of 71?
False
Suppose -5*v + 1769 + 996 = 2*c, -v = -1. Is c a multiple of 30?
True
Suppose -746 = -s + 2*q, 5*s + 1695 = -3*q + 5438. Is s a multiple of 11?
True
Suppose -2*d = -3*j + 244, -4*d + 0 = 2*j - 152. Is 4 a factor of j?
True
Suppose 57*t - 83114 = 37099. Does 21 divide t?
False
Suppose 1848 = 2*j + 197*f - 201*f, -j + 5*f = -933. Does 17 divide j?
True
Let o(b) = -6*b + 40. Let j be o(7). Does 3 divide (6/(-12))/(j - 285/(-144))?
True
Let n(x) = -4*x**2 - 34*x - 12. Does 16 divide n(-6)?
True
Suppose 2*y + 168 = 1368. Does 25 divide y?
True
Suppose -3*r + 8*u = 10*u - 560, -2*u - 928 = -5*r. Does 8 divide r?
False
Let r(d) = d**2 + d + 1. Let u(f) = -4*f**2 - 14*f - 3. Let s be ((-12)/(-18))/(4/(-18)). Let c(v) = s*r(v) - u(v). Does 12 divide c(-12)?
True
Let s(j) = -13*j**2 + 3*j - 2. Let o be s(2). Let t = o - -124. Is 11 a factor of t?
False
Let m = 115 + 609. Does 10 divide m/8 + 7/(-14)?
True
Suppose -3*x + x - 5 = 5*p, 3*p - 3*x + 3 = 0. Let r be p*2 + 22 + 8. Suppose -6*s + 7*s = r. Is 9 a factor of s?
False
Let h be 50/(-20)*4/(-5). Suppose -2*f + 124 = h*r - 6*f, 2*f = -3*r + 178. Is 12 a factor of r?
True
Let n(v) = -4*v**2 + 0*v + 3*v**2 + v. Let l be n(1). Suppose -4*t + 100 + 40 = l. Is 15 a factor of t?
False
Let c(t) = -t**2 - 9*t + 6*t + 1 + 1 + 0. Is c(-2) a multiple of 2?
True
Let i = -149 - -328. Is i a multiple of 5?
False
Let c be 3/(25/28 + -1). Suppose -1 = -2*a - 29. Does 7 divide (-204)/c - (-4)/a?
True
Let j = -7 - -12. Suppose 5 + 47 = 2*n + 4*t, j*t = 0. Let w = -19 + n. Is 3 a factor of w?
False
Let b(q) = -q**3 + 10*q**2 - 10*q + 11. Let k be b(9). Let j = 20 - k. Does 11 divide j?
False
Let a be (-4)/2*1 - -4. Suppose a*f + 0*r - 55 = 5*r, -f + 45 = r. Is 10 a factor of f?
True
Is 1188/16*(40/6 - 4) a multiple of 18?
True
Let y(j) = -j**3 + 10*j**2 + 21*j - 4. Let i = 138 - 127. Is y(i) a multiple of 6?
False
Let s(q) be the second derivative of q**3/2 - 7*q**2/2 - q. Suppose 2*r - 5*t = 5, -6*r + 16 = -2*r - 4*t. Is 4 a factor of s(r)?
True
Let t(u) = -u**2 + 48*u - 514. Let f be t(22). Let g be 18/(1 + 1)*1. Suppose -g*m + f = -7*m. Is m a multiple of 29?
True
Let m(c) = -c**3 + 2*c**2 + 2*c + 1. Let x be m(-1). Suppose 46*y - 233 = 227. Suppose -5*p = -4*r - y, p - 3*r = -0*r + x. Does 2 divide p?
True
Let a(g) = 12*g + 9*g**2 - 5*g + 14 + 7*g**2 - 15*g**2. Is a(-6) even?
True
Let k = 35 - 23. Let n be (-1 - (-3 + 14))*(-2)/8. Is 9 a factor of (-142)/(-8) + n/k?
True
Let d = -10 + 11. Suppose -2*x + 11 = d. Suppose -x*y + 37 = 7. Does 2 divide y?
True
Suppose 5*k + 2056 = -304. Does 6 divide k/(-6) + 2/6?
False
Let m(d) = d**3 - 8*d**2 - 9*d - 1. Let s be m(9). Let c be (1 + -2 - 0) + 16. Let w = c + s. Is w a multiple of 5?
False
Let s(v) = 38*v - 6. Let u(i) = -37*i + 6. Let y(a) = 4*s(a) + 5*u(a). Let c be y(3). Does 22 divide c/6*4/(-1)?
False
Let v be ((-9)/3)/(-9) + (-7)/3. Is 25 a factor of ((-50)/4)/(1/v)?
True
Is 7 a factor of 14/(-84) + 18649/6?
True
Let j = 145 + -145. Suppose 0 = -18*o - j*o + 1674. Does 10 divide o?
False
Let z(p) = 184*p + 1. Let k be z(1). Let w = k + -63. Is 16 a factor of w?
False
Suppose -2*v - 2*v = -20. Suppose r + 103 = -5*g, 0*r = -v*g - 2*r - 101. Does 28 divide 115/4 + g/28?
True
Let h(n) = 2*n**3 + 4*n**2 - 3*n + 48. Does 26 divide h(10)?
True
Is (246/(-3 + 6))/(6/24) a multiple of 4?
True
Suppose -53*f - 17 = -52*f. Let n(t) = t**3 + 16*t**2 - 22*t - 18. Does 24 divide n(f)?
False
Let c(i) = -9*i - 9. Let g be c(3). Is 11 a factor of (-18)/g - (-21)/2?
True
Suppose 4093 = l - 5*k, -5*l - 21*k = -26*k - 20445. Is l a multiple of 92?
False
Let z = 16 - 19. Let s(u) = -u**2 + 1 + 2*u**2 + u - 4. Is s(z) a multiple of 2?
False
Suppose -12 = -173*j + 170*j. Suppose -852 = -j*t - 0*t. Is t a multiple of 34?
False
Let j(f) = 36*f - 9. Let g be j(4). Let k = g + -38. Does 31 divide k?
False
Suppose -f + 9 - 5 = 4*r, 4*f = 2*r - 20. Suppose 0 = h + 3*h + 3*n - 392, 0 = -r*h - 2*n + 196. Does 14 divide h?
True
Let v be 12/21 + 3700/(-7) + 3. Does 21 divide ((-24)/15)/(5/v)?
True
Does 24 divide (-597)/(1*9/(-18))?
False
Let t(a) = 3*a**2 - 4*a. Let b(v) = v**3 - 9*v**2 - v + 5. Let s be b(9). Let f be 2*-2*(-3)/s. Is t(f) a multiple of 19?
False
Let x(o) be the first derivative of o**4/4 - 5*o**3/3 + 3*o**2 + 2*o + 12. Let b be ((-36)/30)/((-6)/20). Does 10 divide x(b)?
True
Suppose -4*s - 184 = -q, 4*q - 232 = -5*s + 441. Let d = q - 89. Let r = 126 - d. Does 9 divide r?
False
Let o(f) be the second derivative of 1/2*f**2 + 0 + 2*f + 0*f**4 - 2/3*f**3 + 1/20*f**5. Is o(3) a multiple of 16?
True
Let v = 33 + -66. Let b = v + 93. Is 10 a factor of b?
True
Suppose -3*t + 355 = -2*v + 1120, -4*v - 2*t = -1554. Is v a multiple of 11?
False
Let q(k) = -12*k - 10. Let u(h) = -3 + 0 + h + 4. Let j(f) = q(f) + 6*u(f). Is j(-3) a multiple of 7?
True
Let j(t) = -184*t - 36. Is 25 a factor of j(-4)?
True
Let c be (-4)/(-10) + (-20)/50. Suppose 0 = -c*q + q + 5*b - 154, 2*q = -5*b + 298. Suppose h = -h + q. Is 18 a factor of h?
True
Suppose -d + 4*d - 27 = -b, -4*d + 2*b + 26 = 0. Let y = 61 - d. Let w = -31 + y. Does 11 divide w?
True
Let k(d) = d**2 + d - 1. Let u(f) = -f**3 - 2*f**2 + 8. Let i(b) = 6*k(b) + u(b). Let y(r) = 2*r + 1. Let a be y(2). Is i(a) a multiple of 4?
False
Let r(j) = -808*j - 17. Does 8 divide r(-1)?
False
Let j = -19 - -28. Let b = j + 12. Is b a multiple of 3?
True
Suppose 2*x - 3*g - 720 = -x, -2*x - 2*g = -496. Does 25 divide x?
False
Suppose 0 = 64*g - 63*g - 131. Suppose 2*p + 9*s = 4*s + 62, 3*p = 2*s + g. Does 14 divide p?
False
Suppose -2*y = 3*y - 2*k - 21, 2*y + 3*k - 16 = 0. Suppose y*o - 34 = 2*o + q, 5 = q. Is o a multiple of 8?
False
Let w be 110/(-33)*(-6)/5. Let g be w + (-1)/2*-6. Let z(i) = 2*i - 8. Is 4 a factor of z(g)?
False
Let w(a) = 151*a + 5. Does 55 divide w(3)?
False
Let j(y) be the second derivative of 0 + 4*y + 11/20*y**5 + 0*y**3 + 1/6*y**4 - 1/2*y**2. Is j(1) a multiple of 3?
True
Suppose 61 = -5*d + 36, 3465 = 5*t - 3*d. Does 12 divide t?
False
Suppose 310 = o - 2*s, -2*o - o + 880 = 4*s. Does 10 divide o?
True
Suppose 0*s = -3*s - 78. Let r = 31 + s. Suppose -2*a = -3*c + 264, r*c + a = 3*c + 169. Is 43 a factor of c?
True
Suppose 87 = -2*j - 119. Suppose 24*q + 0*q + 1344 = 0. Let b = q - j. Is b a multiple of 16?
False
Suppose 3*u = 7*u + 12. Let m = u - -82. Is 9 a factor of m?
False
Let j(f) be the second derivative of f**4/6 - f**2 + 4*f. Does 5 divide j(-4)?
True
Suppose -5*n + 8 + 12 = 0. Suppose 5*d - 188 = -2*x, d = n*x - 3 + 23. Does 12 divide d?
True
Let x(i) = 2*i + 0*i - 7 + i + 13. Is x(4) a multiple of 6?
True
Let p(v) = -v**3 - 12*v**2 - 12*v + 28. Let y be p(-13). Suppose 5*m - t - y = t, 141 = 2*m - t. Is 11 a factor of m?
False
Let a = -123 - -118. Suppose -2*w - q = 3 + 21, w + 2 = -3*q. Is (w/a)/((-1)/(-10)) a multiple of 14?
True
Let s(l) = l**3 + 4*l**2 - 3. Let j be s(-5). Suppose y = -o - 0*y - 32, -2*o + y - 76 = 0. Let x = j - o. Does 6 divide x?
False
Suppose -2*o - 3*w + 416 = 0, -w + 631 = -0*o + 3*o. Is 3 a factor of o?
False
Suppose 5*a + 0*a = 1270. Let j = a + 198. Suppose -4*w = 5*d - j, -5*w + 0*w + 279 = 3*d. Is 11 a factor of d?
True
Let v be -5 - 0 - -7 - -49. Let t be 2 - 0 - 5*5. Let y = t + v. Does 11 divide y?
False
Let d(l) be the first derivative of l**3/3 - 7*l**2/2 - 8*l + 2. Is 6 a factor of d(9)?
False
Let j(l) = 11*l**2 + 2*l. Let r be j(8). Suppose k = -3*k + r. Is 27 a factor of k?
False
Let s = 4080 + -2379. Is 27
|
{
"pile_set_name": "DM Mathematics"
}
|
for w.
4
Suppose 5*m + 5*c = 275, 0*c + c = 3*m - 181. Let d = m + -54. Suppose -3*l + 2 - 12 = -5*j, l = -d*j + 10. Solve 2*k = -j*k for k.
0
Suppose 2*i - 1 = 3*q - 6, -3*q + 20 = i. Suppose -i*d + 6*h = 3*h - 18, 3*h = -4*d + 36. Solve 2*v - d - 2 = 0 for v.
4
Suppose -z - 3*f + 83 = 0, -2*f - 233 = -4*z + 113. Solve -85*s + z*s + 5 = 0 for s.
-5
Suppose -3*c + 2*c = -3, 0 = 3*a - 5*c - 3. Suppose -37*l + a*l = -62. Solve 0 = l*d - 4*d - 6 for d.
-3
Let n(q) = -q**2 + 9*q + 11. Let o = -1 - -22. Suppose -4*w = -w - o. Let c be n(w). Solve -5*v + 0*v = -c for v.
5
Let r(j) = -j**2 - 18*j - 36. Let s = -21 - -6. Let z be r(s). Solve -z = 2*q - 13 for q.
2
Let y = 517 - 517. Solve 133*j + 545 - 13 = y for j.
-4
Suppose -4*o + 213 = 3*w - o, 0 = -2*w + 4*o + 136. Suppose -5*d + 5*h = -w, -3*h = 2*d - 1 - 2. Solve -f + 4 = d for f.
-5
Suppose 0 = -4*q - 3*m + 95, 1 = 5*q + 3*m - 120. Solve -q*s - 150 = 4*s for s.
-5
Let h = -523 - -356. Let x = h + 188. Solve -5*l - 16 + x = 0 for l.
1
Let m(c) = -2*c**2 + 19*c - 7. Let p(d) = 8*d**2 + 5*d + 1. Let a be p(-2). Suppose 3*b - t = a, -t - 16 = -5*t. Let y be m(b). Solve -k - y = -1 for k.
-1
Let c be 33/((-594)/(-1710)) + 1. Solve 12 = -14*v + c for v.
6
Suppose 6*k + 3*a - 27 = k, 4*a + 22 = 3*k. Let g = 110 - k. Let h = -100 + g. Solve 0 = -h*r - 0 + 20 for r.
5
Let t = 201 + -181. Suppose 34*x + t = 38*x. Solve x = -m + 4 for m.
-1
Suppose -o = -62 + 58. Suppose -4*i = -o*h + 240, 8*h - 4*h = -4*i + 256. Solve 58*b - 16 = h*b for b.
-4
Suppose -26*n - 62 + 244 = 0. Solve -3*f - n = -4 for f.
-1
Let r be (-2006)/(-8) + 4/16. Let a = r - 245. Solve a*d + 3 = 3*d for d.
-1
Suppose -5*n - 6 = b - 2, 12 = -2*n - 3*b. Suppose -3*p + n*p = 0. Solve p = -3*t - t - 20 for t.
-5
Let t(m) = -m**3 + 7*m**2 + m + 15. Let j be t(9). Let y be ((-1)/6)/(23/j). Solve 7 = -3*n + y for n.
-2
Suppose -51*m = -50*m - 13. Suppose -5*g - m + 28 = 0. Solve g = 5*f - 7 for f.
2
Suppose -18 = -72*y + 63*y. Suppose -2*q + 17 = -2*d - 15, 42 = y*q - 4*d. Solve -q*i + 16*i = 0 for i.
0
Suppose t - 2*o = 6, 2*t - 2*o = 3*o + 12. Let g = -1285 - -1288. Solve 3*q + g + t = 0 for q.
-3
Let t(j) = 90*j + 683. Let k be t(-7). Solve -43*a - k = 119 for a.
-4
Let r(g) = -g**2 - 43*g + 364. Let a be r(-47). Let p = -173 + a. Solve 2*t + 7 = -p for t.
-5
Let v(w) = 41*w - 2227. Let q be v(55). Solve -q*l + 12*l = -80 for l.
5
Let a be 7*(37/(-7) + 6) + 58 + -1. Solve -22*o + 128 = a for o.
3
Suppose 9*a + 4*v = 10*a + 15, -5 = 3*a - 2*v. Let p(o) = -o**2 - 4*o + 1. Let j be p(-3). Suppose j*t + a = -l - 0, -l - 1 = -3*t. Solve 0 = -t*n + 3*n for n.
0
Let m = 132 + -78. Let q be (3/(-2))/(m/(-252)). Suppose 0 = -2*b + 47 - q. Solve 3*j = -j - b for j.
-5
Let o be (0/(3 - 2))/2. Suppose -5*z - 97 = -a, 0*a + z = 2*a - 176. Let h = 91 - a. Solve -2*x + 6*x - h = o for x.
1
Let q(g) = -g**3 - 37*g**2 + 161*g + 266. Let b be q(-41). Solve 155 - b = 39*f for f.
-6
Let f be (1/(-4))/((-79)/1896). Solve 2*h - f = -0 for h.
3
Let a(y) = -2*y + 4. Let o be a(-3). Suppose 5*d - 78 = j, -d + 19*j - 23*j + 3 = 0. Solve 5*u = -o - d for u.
-5
Suppose 0 = -3*c + 4*t + t + 128, 2*c - t = 76. Suppose 0 = c*g - 54 - 270. Solve -g + 10 = -v for v.
-1
Suppose -3*n + 72 = 27. Suppose -3*u + n = 3*a, -3*a = -0*u + 2*u - 7. Suppose -12*x = -u*x - 16. Solve x*s = 5 + 3 for s.
2
Let n(f) = -f**2 - 38*f - 40. Let t be n(-27). Let v = t + -256. Solve 0*o + v = -o for o.
-1
Let s(i) = -i**2 - 15*i - 31. Let m be s(-13). Let u be (2 - 3)/(m/5). Suppose -2 - 1 = -3*y. Solve y + u = -2*d for d.
-1
Suppose -6*q = 946 + 152. Let i = q - -186. Solve -i*j + 1 = -5 for j.
2
Suppose 32*n = 35*n - 9. Suppose n*r - 4 = -x, -2*x = -6*x + 5*r + 50. Suppose -d - x = -3*d. Solve 4*k + k + d = 0 for k.
-1
Let a = -53 - -12. Let s = -44 - a. Let t = 3 + s. Solve -4*x - x = t for x.
0
Let t(g) = g**2 + 14*g - 30. Let s be t(-16). Suppose -s*p + 14 = -4*u, 3*p - 5*u - 2 = 18. Let f be 2 + (p - 1)*(-1)/(-2). Solve z = 5*z - f for z.
1
Let r(x) be the third derivative of -7*x**4/24 - 59*x**3/6 + 22*x**2 + x. Let d be r(-9). Solve -2*q = -0 - d for q.
2
Let i = -28185 - -28351. Solve -i*v + 162*v = 12 for v.
-3
Let w(h) = 7*h + 46. Let t be w(-11). Let j = -91 - t. Let x = j + 60. Solve 5*r - 20 = -x*r for r.
4
Let y = -2205 + 2205. Solve 29*x - 27*x - 12 = y for x.
6
Let a be ((-14)/(-21) - 4)/(2/(-3)). Let d = -13 - a. Let j be (-261)/d + (-2)/(-8)*-2. Solve j = -3*p + 5 for p.
-3
Let u(a) = a - 4. Let g be u(13). Suppose -4*w - 60 = -g*w. Let h(l) = l**3 - 26*l**2 - 58*l + 58. Let d be h(28). Solve d*y = -y + w for y.
4
Let c be (-6)/(-8)*-1 - 141*12/(-144). Solve 13*d = -c*d + 120 for d.
5
Suppose -30*a - 21 = -33*a. Suppose l = 3*z - a, -3*z + 3*l = 6 - 3. Solve -7*t - 15 = -z*t for t.
-5
Let w(b) = 14*b + 72. Suppose 0 = m - 0 + 5. Let s be w(m). Solve 2*f + 0 = -s for f.
-1
Suppose 0 = -3*b + 12, -2*q - b + 34 = 20. Suppose -q*z + 32 = 2*y, -8*z - 18 = -5*y - 5*z. Solve -y*s = -16*s - 30 for s.
-3
Let g be 6*-2*(4 + 56/(-12)). Suppose -52 = -5*d + 4*v, -5*v + g = -v. Solve -d*p = 6 + 6 for p.
-1
Suppose -5*i = 2*o - 73, 34*i - 28*i - 54 = -o. Solve -7*h = -4*h - o for h.
8
Suppose -2*c = 3*a + 131, 2*a - 174 = 6*a + 3*c. Let n be (-120)/a*(-2 - 0)*-3. Solve -n - 4 = 4*k for k.
-5
Let u be (2/(-2))/(7 - 132/18). Solve -u*o + 38*o + 245 = 0 for o.
-7
Let q(b) = -b**3 - 20*b**2 + 20*b - 11. Let m be q(-21). Let v be -6 + 10 - -4*5/m. Solve 5*w - v*w = -5 for w.
5
Let n = 313 + -328. Let v be -2 + 6 - (n + 16). Solve 2 - v = i for i.
-1
Let y be (-5)/(-3)*90/100*2. Solve -y*b - 19 - 2 = 0 for b.
-7
Suppose -5*g - 16 = 9, s - 3*g - 42 = 0. Suppose 2*x = -3*t - s, -2*x + 22 = 3*t - 7*t. Let i be (27/(-3) + 2)/(7/t). Solve 5*r = i*r for r.
0
Let y be (-156)/260 - ((-858)/10)/3. Solve y*o = 42*o - 98 for o.
7
Let c(m) = -m**2 + 19*m + 57. Let n be c(21). Solve -n*b = 12*b for b.
0
Suppose -250*p + 254*p + 3 - 3 = 0. Solve -9*g - 25 + 16 = p for g.
-1
Suppose -2*j + 0 = 2*g + 2, 4*j + g = 5. Let w be (6/2)/((-3)/(-7)). Let t be (24/42)/(1/w). Solve -a + j - t = 0 for a.
-2
Let v(m) = -m**2 - 14*m + 48. Let z be v(-13). Suppose 58*x - z*x = 0. Solve -6*c + x*c - 12 = 0 for c.
-2
Let y(d) = d**3 - 7*d**2 - 9*d + 12. Let c be y(8). Let r(z) = z**3 + 56*z**2 + 254*z - 26. Let f be r(-51). Solve -c = -f*h + 24*h for h.
4
Let i(f) = -12*f - 3. Let p be i(-1). Suppose 0 = -15*m + p*m + 336. Let u = m - 54. Solve -3*z = -z + u for z.
-1
Suppose 0 = 2*t + 86 + 91 - 177. Solve 480*w - 482*w + 12 = t for w.
6
Let o(c) = -45*c + 471. Let w be o(10). Solve -49 = w*v + 56 for v.
-5
Suppose 3*u = 13 - 4. Suppose -2*l + 11 = 3*x, 2*x = 4*l - u*l - 2. Let i = -12 + 14. Solve 5 = i*q + x for q.
2
Suppose 217*i - 4*g = 221*i - 60, 5*g - 48 = -2*i. Solve 18*x = i*x - 9 for x.
-1
Suppose 0 = -f + 5*k + 46, -2*f + k + 30 + 35 = 0. Solve f = -19*w - 102 for w.
-7
Suppose -35*q = -70 - 70. Let f be 0 - -1 - 0/8. Suppose -q + f = -y. Solve y*z = 2*z for z.
0
Let r = -10875 + 11522. Solve 9*s - r + 701 = 0 for s.
-6
Let l(u) = -7*u - 31. Let c be l(-5). Suppose -q + 18 = -4*p + 30, c*p = 2*q + 16. Solve 4*z - 14 + p = 0 for z.
3
Let o be 4303/11 - 8/44. Let c = o - 388. Solve -3 = c*a + 12 for a.
-5
Let s = -326 + 351. Let f(g) = 2*g**3 - g**2 + 3*g + 3. Let d be f(-2). Let x = d + s. Solve 3 = -x*n - 3 for n.
-3
Suppose -55 = -3*i - 5*k, -331*k + 5 = 3*i - 336*k. Solve 6*u + i*u = -10*u for u.
0
Suppose -4*u - x = -3*u, 10 = -5*x. Suppose -4 = -u*j + 2*n, 22*j + n = 26*j - 2. Solve 2*z - 4 + j = 0 for z.
2
Let w(k) = -k**3 - 13*k**2 + 101*k - 127. Let v be w(-19). Solve v*f = 113*f - 14 for f.
-2
Let p(i) = 2*i**3 + 6*i**2 + 19*i - 5. Let h be p(-3). Let x = h - -62. Solve 2*d = -x*d + 6 for d.
3
Let u be 7*(1 - 18/14). Let f be u*((42/(-4) - -3) + 3). Suppose -5*n + f*n = 16. Solve 3*k - 7 + n = 0 for k.
1
Let y(j) = 33*j - 24. Let t(w) = 2*w**2 - 4*w + 1. Let d be t(2). Let f be y(d). Solve 5*x = -16 - f for x.
-5
Let n = 37 + -60. Let m = -13 - n. Solve -2 = -6*h + m for h.
2
Suppose 3 = -3*m - 96*d + 91*d, 5*d = -m - 11. Solve -5*y = -3*y + m for y.
-2
Let o be (0 - -24)*12/16. Suppose 54*b - 540 = o*b. Solve -2*a + b = 9 for a.
3
Let i be 0 + (4 - 1) + -6 + 7. Let c be i*(-2)/(-16)*(-1 - -1). Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
*3*-2 - (-1 + sqrt(13)*2)*-5.
-5 + 46*sqrt(13)
Simplify ((sqrt(42) - sqrt(168) - sqrt(42))*3)/(sqrt(54)/sqrt(225)) + -5.
-30*sqrt(7) - 5
Simplify 0 + sqrt(2448)*-2 + sqrt(17) + sqrt(187)/sqrt(176) - (-1*sqrt(68)*-1 + sqrt(68))/(sqrt(36)*6).
-823*sqrt(17)/36
Simplify -2*(1*sqrt(17)*-1 + -1 + sqrt(51)/sqrt(3) + -3)**2.
-32
Simplify ((1 + sqrt(425) + -3 + sqrt(425) + -1 + sqrt(425) + 0 + 5)*-1)**2.
60*sqrt(17) + 3829
Simplify -5 + (-2 + sqrt(78)/(sqrt(36)/sqrt(6)*4))**2.
-sqrt(13) - 3/16
Simplify ((2*sqrt(120))/sqrt(8))/((sqrt(50) - 4*sqrt(50))/sqrt(10) - sqrt(5)).
-sqrt(3)/2
Simplify -4*(3*-3*((sqrt(72) + -1)*6 + -5))**2.
-879012 + 256608*sqrt(2)
Simplify sqrt(76)*-1 + -2 + (sqrt(19) + (2*sqrt(19) + 0)**2)*1.
-sqrt(19) + 74
Simplify ((2*sqrt(130)*1 - 4*-1*sqrt(130))/(sqrt(1000) - -3*(2*sqrt(1000) - sqrt(1000))))**2.
117/400
Simplify (sqrt(360)/(sqrt(8) + sqrt(40)/sqrt(5)) - (-1 + sqrt(405))**2)*-4.
-78*sqrt(5) + 1624
Simplify 2 + ((-5*-1*sqrt(66) - sqrt(66))/((sqrt(6) + sqrt(24) + sqrt(6))*-2))**2 + 5.
39/4
Simplify (sqrt(468) + -3 + -4 - sqrt(468) - sqrt(468)*2*-2) + -4.
-11 + 24*sqrt(13)
Simplify (-4 + -1*(((sqrt(304) - (sqrt(304) + -1 + -5)) + sqrt(304) - (sqrt(304) - sqrt(304)*1)*5) + -4))**2.
48*sqrt(19) + 340
Simplify (sqrt(153)*-3 + 0 + (sqrt(68)*-2 - sqrt(68))**2 + 5)*5.
-45*sqrt(17) + 3085
Simplify ((sqrt(99) + -4 + sqrt(99))*6)**2 + (2*(sqrt(22)/sqrt(2))**2 - -3*(sqrt(11) + -2)).
-1725*sqrt(11) + 14848
Simplify (sqrt(144)/(sqrt(12)/sqrt(2)) + (sqrt(864) - 2*sqrt(864)))/(1*sqrt(108)*3).
-5*sqrt(2)/9
Simplify (((-2*sqrt(297) - sqrt(297))*-1)/sqrt(11))/(sqrt(1296) - (sqrt(1296) - (sqrt(1296)*-2 - sqrt(1296))*-1)).
sqrt(3)/12
Simplify 3 + (1 + (-1*sqrt(98))**2 - sqrt(98)) + (sqrt(98) + sqrt(98) + 0)*2*6.
102 + 161*sqrt(2)
Simplify -1*(-2 + (-4 + sqrt(12))**2) - ((sqrt(3) + (sqrt(18)/sqrt(6))**2 - sqrt(3)) + 5 - (6*(sqrt(3) + (sqrt(3) - (-3*sqrt(3))**2)) + sqrt(3))).
-196 + 29*sqrt(3)
Simplify (((sqrt(84) - 2*sqrt(84))*-2 - sqrt(84)) + (-2*sqrt(84) + sqrt(84))*-1)/(((-2*sqrt(108) + sqrt(108))*6)/sqrt(9)).
-sqrt(7)/3
Simplify ((-2*sqrt(735))/sqrt(5))**2 + (-3 + sqrt(147) + -1)**2.
-56*sqrt(3) + 751
Simplify -3*((sqrt(1573) + 0 + -2 - sqrt(1573)) + ((-1 + sqrt(1573))*3 - sqrt(1573)) + 4*(-1 + sqrt(1573)) + 5*(-1 + sqrt(1573)))**2.
-571587 + 10164*sqrt(13)
Simplify 1*(4 + -1 + 2 + (0 + sqrt(200))*-1)**2.
-100*sqrt(2) + 225
Simplify ((sqrt(132)/(sqrt(12)/sqrt(3) + sqrt(4) - sqrt(4)) - sqrt(33)) + (-3*(sqrt(33)*-2 - sqrt(33)) - sqrt(33)))/(sqrt(72)/sqrt(6)*-2).
-2*sqrt(11)
Simplify ((-4*sqrt(300)*-1)**2 - (3 + 1*sqrt(300))) + -3.
-10*sqrt(3) + 4794
Simplify -5 + -4*sqrt(700) - (sqrt(700) - (5 + 1 + sqrt(700) + sqrt(700) - sqrt(700)))**2.
-40*sqrt(7) - 41
Simplify 2 + -5 + (sqrt(117)/(1*1*sqrt(9) + sqrt(9) - sqrt(9)) + (sqrt(208)*-1 - (sqrt(13) - (sqrt(52)/sqrt(4)*1 + sqrt(13)))))**2.
49
Simplify (5*sqrt(49)*-5)/(sqrt(700)*2 - sqrt(700)).
-5*sqrt(7)/2
Simplify (sqrt(76)*1*-4 + 1*sqrt(76)*3)/((1*sqrt(28))/sqrt(7) + sqrt(4)*-2*6).
sqrt(19)/11
Simplify (-3*sqrt(76)*4)/(sqrt(16)*1).
-6*sqrt(19)
Simplify (((sqrt(1573)*-2 - sqrt(1573))*-5 - ((sqrt(39) + sqrt(624))/sqrt(3) - (sqrt(117) + 4 + sqrt(13) - sqrt(13))))*-4)**2.
20864*sqrt(13) + 5526608
Simplify (sqrt(26)*-3*1)/(sqrt(2) - (sqrt(98) - (sqrt(98) - (-3*sqrt(98) + sqrt(98))))) + -2.
-2 - sqrt(13)/5
Simplify (sqrt(2548) + (sqrt(2548) - (-1 + sqrt(2548))))*-6 + (2*sqrt(52)*1 + (-1 + sqrt(1300) - sqrt(1300)))**2.
-92*sqrt(13) + 203
Simplify (1 + (sqrt(144)*1 - sqrt(144) - sqrt(9))/sqrt(3) + 2*sqrt(6)/(sqrt(32) + sqrt(2))*1)**2.
-6*sqrt(3)/5 + 52/25
Simplify -1 + 2*((1 + sqrt(396)*2 + 2)**2 + 2).
144*sqrt(11) + 3189
Simplify 5 + -5*sqrt(33)/(sqrt(11) + 2*sqrt(891) + sqrt(11)).
-sqrt(3)/4 + 5
Simplify (-3*(sqrt(4860) - (-1*sqrt(4860) + sqrt(4860)))/(2*sqrt(48)/sqrt(4) + sqrt(12)) + 4)**2.
-72*sqrt(5) + 421
Simplify (sqrt(36) + sqrt(36) + -5*sqrt(1296))/(sqrt(192)*4 - sqrt(192)).
-7*sqrt(3)/3
Simplify ((sqrt(495)*1*-3)/sqrt(11))/(sqrt(144) + (sqrt(144)*-3*2 - sqrt(144))).
sqrt(5)/8
Simplify (sqrt(80) + -4*sqrt(80) + sqrt(80))/(sqrt(196)*-6).
2*sqrt(5)/21
Simplify (-2*sqrt(84)*3)/(sqrt(432)*-2).
sqrt(7)/2
Simplify ((sqrt(1900) + sqrt(1900) + sqrt(1900)*-2*-6)*-2)**2 - ((sqrt(1900) - (sqrt(1900) + sqrt(1900) + 1 + 2)) + sqrt(1900) + 0 + -4)**2.
1489551
Simplify (5*sqrt(480)/sqrt(8) - sqrt(60))/(-3*sqrt(108) - sqrt(12) - sqrt(12)).
-4*sqrt(5)/11
Simplify sqrt(700)*-2 + 4 + 1 + -1*sqrt(700) + 5 + 0.
-30*sqrt(7) + 10
Simplify -3*(((-6*(1 + sqrt(45)))**2 - (1*sqrt(605) + -2)**2) + 5).
-3156 - 780*sqrt(5)
Simplify ((sqrt(272) + -2 + -5 + 1 + -5)*-4)**2 + 0.
-1408*sqrt(17) + 6288
Simplify ((sqrt(30)/sqrt(6)*-4)**2 - 3*-2*sqrt(5)) + -3*(sqrt(40)/sqrt(2) - (1*sqrt(5) + 3))**2.
38 + 24*sqrt(5)
Simplify ((1 + sqrt(720) - sqrt(720))*-2)**2 + (1*(sqrt(150)/sqrt(3) - sqrt(50)) + sqrt(50) + sqrt(50))/sqrt(10) + 2.
2*sqrt(5) + 6
Simplify 0 + ((sqrt(24) - sqrt(600))/sqrt(12))**2 - ((2*sqrt(50))**2 - (sqrt(2) + (-1*(sqrt(2) + 1))**2)).
-165 + 3*sqrt(2)
Simplify -4*((sqrt(7) + -2 + 3 - (sqrt(7) + -1*sqrt(7) + 3 - sqrt(7))) + -1)*6.
-48*sqrt(7) + 72
Simplify (sqrt(18) + -1)**2 - -4*sqrt(4)/sqrt(2) - (1*sqrt(10)*-1)/(-2*sqrt(80) - sqrt(80)).
-25*sqrt(2)/12 + 19
Simplify (-3 + (sqrt(500) - ((-2*sqrt(500)*-4 + sqrt(500))**2 - sqrt(500))) + 3)*-4.
-80*sqrt(5) + 162000
Simplify 4*((sqrt(396) - -3*(sqrt(396) - (1 + sqrt(396) + sqrt(396))) - sqrt(396))**2 - ((1*sqrt(396))**2 + 0))*-1.
-12708 - 432*sqrt(11)
Simplify (-1 + (0 + sqrt(13))*-5 - 4*(sqrt(117) + -1))**2.
-102*sqrt(13) + 3766
Simplify -5 + 4*((5 + sqrt(27) + -3 + 0)**2 + -5).
48*sqrt(3) + 99
Simplify (sqrt(7)*-1*-3)**2 + 0 + sqrt(49)/(sqrt(175)*1).
sqrt(7)/5 + 63
Simplify 0 + ((sqrt(13) + 2*sqrt(13))*1 + -1*sqrt(325))**2 + sqrt(117)/((sqrt(9) - (-3*sqrt(9) - sqrt(9)))*-1).
-sqrt(13)/5 + 52
Simplify -3*-3*(-4 + -4 + 3 + sqrt(832)).
-45 + 72*sqrt(13)
Simplify (2 + ((sqrt(468) + 0 - sqrt(468) - sqrt(468)) + -2 + -1*sqrt(468) + -3 + sqrt(468))**2)*-5 + 1.
-2474 - 300*sqrt(13)
Simplify ((sqrt(392) - sqrt(392)*-1)*4)**2 + 4 + (sqrt(1152) + 1)**2.
48*sqrt(2) + 26245
Simplify 6*(-4*2*sqrt(931) + (4*sqrt(931) + sqrt(931))*6 + sqrt(931))*4.
3864*sqrt(19)
Simplify -5 + (sqrt(132)/sqrt(4)*2 - sqrt(99)/sqrt(3)*-1)/(sqrt(12)*-5 - (-2*sqrt(363) + sqrt(363))).
-5 + 3*sqrt(11)
Simplify 4 + (sqrt(6300) - (sqrt(6300)*2 - sqrt(6300)))/((sqrt(441) - -2*sqrt(441)) + sqrt(441)) + -5.
-1
Simplify -1*(-2 + -2 + sqrt(19) + sqrt(19)) + (2*(-2*sqrt(19) - sqrt(19)) + sqrt(19) - (5 + sqrt(38)/sqrt(2)))**2.
58*sqrt(19) + 713
Simplify 3*(-1*sqrt(2448)*4 - (sqrt(2448) - (sqrt(2448) - -1*sqrt(2448)))*6)**2 + 5.
29381
Simplify 2*(-3*(4 + sqrt(17) + (2*sqrt(51)/sqrt(3))**2) + -3).
-438 - 6*sqrt(17)
Simplify (sqrt(55) + sqrt(495)/(sqrt(36)/sqrt(4)) - ((sqrt(605)/(sqrt(33)/sqrt(3)) - sqrt(55)) + sqrt(55)))/(sqrt(1584)*1*-6)*-4.
sqrt(5)/18
Simplify (sqrt(1900) - (sqrt(1900) + -1 + -1 + sqrt(1900)))**2 + -2 + (-1 + sqrt(1900) + sqrt(1900) + -1 + -4 + (sqrt(1900) - sqrt(1900)*2))**2.
-160*sqrt(19) + 3838
Simplify (-1*sqrt(77)*-2 + sqrt(77) + 1*(sqrt(77) + 1*sqrt(77)))/(6*sqrt(448)*2).
5*sqrt(11)/96
Simplify (sqrt(6480)*3 + -2 + -5)**2.
-1512*sqrt(5) + 58369
Simplify -5*-6*(2 + (sqrt(33) + sqrt(33) + sqrt(66)/sqrt(2) + sqrt(33) + sqrt(33))/sqrt(11) - ((-1 + sqrt(3))*6*-4)**2).
-69060 + 34710*sqrt(3)
Simplify 1*2*(-5 + (-2 + sqrt(200))*4).
-26 + 80*sqrt(2)
Simplify -5 + (-2*(sqrt(51) - sqrt(153)/sqrt(3)))/sqrt(3) + 2.
-3
Simplify (2*sqrt(6000))/sqrt(12)*-4*5.
-400*sqrt(5)
Simplify (sqrt(192)*-1 - ((sqrt(192)*-2)/sqrt(4))**2)*3.
-576 - 24*sqrt(3)
Simplify 3 + sqrt(2) + -1 + 4 - (sqrt(2) - (0 + sqrt(6)/sqrt(3)))**2*3.
sqrt(2) + 6
Simplify (-3*sqrt(3024)*1)/(sqrt(6)/((sqrt(800) - sqrt(50)) + sqrt(2))).
-576*sqrt(7)
Simplify (sqrt(162)/(sqrt(45)/sqrt(5)*-4))/(sqrt(54)/((sqrt(81)*2)/sqrt(9))).
-sqrt(3)/2
Simplify (sqrt(152)*-2*-3)/(sqrt(32)/sqrt(64)) - ((2*(0 + sqrt(2299))**2 - sqrt(2299)) + -1).
-4597 + 35*sqrt(19)
Simplify ((((sqrt(114) + -1*sqrt(114) - sqrt(114))*2 + sqrt(114) + sqrt(114) + sqrt(114))*-4)/(-5*sqrt(96)*-1))**2.
19/25
Simplify (sqrt(132) - (sqrt(132) + (-2*(sqrt(132) - 1*sqrt(132) - sqrt(132)) - sqrt(132))))/(sqrt(300) + (sqrt(300) - sqrt(300)*4)).
sqrt(11)/10
Simplify sqrt(3) + sqrt(9)/(sqrt(15)
|
{
"pile_set_name": "DM Mathematics"
}
|
ens digit of 1198?
9
What is the tens digit of 15736?
3
What is the units digit of 347?
7
What is the thousands digit of 9025?
9
What is the ten thousands digit of 19621?
1
What is the ten thousands digit of 121733?
2
What is the tens digit of 2569?
6
What is the tens digit of 2561?
6
What is the tens digit of 11163?
6
What is the units digit of 6328?
8
What is the thousands digit of 20968?
0
What is the hundreds digit of 931?
9
What is the thousands digit of 2426?
2
What is the hundreds digit of 773?
7
What is the units digit of 10919?
9
What is the tens digit of 1083?
8
What is the tens digit of 145403?
0
What is the hundreds digit of 337?
3
What is the units digit of 681?
1
What is the thousands digit of 6509?
6
What is the units digit of 5659?
9
What is the thousands digit of 2588?
2
What is the tens digit of 2082?
8
What is the thousands digit of 5548?
5
What is the units digit of 697?
7
What is the units digit of 884?
4
What is the units digit of 669?
9
What is the hundreds digit of 928?
9
What is the tens digit of 11950?
5
What is the units digit of 3264?
4
What is the thousands digit of 9489?
9
What is the units digit of 32494?
4
What is the hundreds digit of 227?
2
What is the tens digit of 3896?
9
What is the ten thousands digit of 102766?
0
What is the hundreds digit of 58820?
8
What is the thousands digit of 69027?
9
What is the tens digit of 12379?
7
What is the units digit of 677?
7
What is the thousands digit of 125191?
5
What is the hundreds digit of 235?
2
What is the thousands digit of 32361?
2
What is the tens digit of 6381?
8
What is the tens digit of 1700?
0
What is the tens digit of 503?
0
What is the thousands digit of 6274?
6
What is the units digit of 25859?
9
What is the tens digit of 148?
4
What is the thousands digit of 2467?
2
What is the hundreds digit of 1748?
7
What is the hundreds digit of 639?
6
What is the units digit of 19968?
8
What is the tens digit of 235?
3
What is the units digit of 561?
1
What is the thousands digit of 35952?
5
What is the hundreds digit of 1935?
9
What is the hundreds digit of 399?
3
What is the units digit of 809?
9
What is the units digit of 2487?
7
What is the tens digit of 62315?
1
What is the tens digit of 2844?
4
What is the tens digit of 1377?
7
What is the thousands digit of 1546?
1
What is the thousands digit of 190356?
0
What is the thousands digit of 48057?
8
What is the thousands digit of 13841?
3
What is the units digit of 14171?
1
What is the units digit of 1007?
7
What is the tens digit of 31872?
7
What is the thousands digit of 9119?
9
What is the units digit of 100955?
5
What is the tens digit of 337?
3
What is the hundreds digit of 1620?
6
What is the thousands digit of 23002?
3
What is the thousands digit of 8785?
8
What is the hundreds digit of 690?
6
What is the tens digit of 69165?
6
What is the thousands digit of 19062?
9
What is the units digit of 999?
9
What is the tens digit of 67973?
7
What is the units digit of 1320?
0
What is the units digit of 19547?
7
What is the hundreds digit of 346?
3
What is the tens digit of 199?
9
What is the thousands digit of 4992?
4
What is the ten thousands digit of 40934?
4
What is the thousands digit of 1531?
1
What is the hundreds digit of 1116?
1
What is the ten thousands digit of 16246?
1
What is the hundreds digit of 194?
1
What is the units digit of 612?
2
What is the units digit of 31257?
7
What is the tens digit of 3439?
3
What is the hundreds digit of 737?
7
What is the thousands digit of 40790?
0
What is the tens digit of 624?
2
What is the units digit of 23885?
5
What is the units digit of 3101?
1
What is the hundreds digit of 1758?
7
What is the thousands digit of 4008?
4
What is the ten thousands digit of 50396?
5
What is the hundreds digit of 5399?
3
What is the units digit of 7130?
0
What is the tens digit of 3845?
4
What is the thousands digit of 5715?
5
What is the hundreds digit of 1009?
0
What is the tens digit of 15710?
1
What is the thousands digit of 9302?
9
What is the thousands digit of 100727?
0
What is the hundreds digit of 418?
4
What is the units digit of 2270?
0
What is the units digit of 30413?
3
What is the hundreds digit of 683?
6
What is the units digit of 24312?
2
What is the units digit of 29552?
2
What is the hundreds digit of 17725?
7
What is the ten thousands digit of 70362?
7
What is the thousands digit of 3192?
3
What is the units digit of 35957?
7
What is the hundreds digit of 785?
7
What is the units digit of 29475?
5
What is the hundreds digit of 5633?
6
What is the units digit of 2791?
1
What is the tens digit of 218?
1
What is the tens digit of 735?
3
What is the hundreds digit of 43675?
6
What is the hundreds digit of 404?
4
What is the thousands digit of 81295?
1
What is the hundreds digit of 1048?
0
What is the ten thousands digit of 10291?
1
What is the hundreds digit of 2385?
3
What is the ten thousands digit of 19725?
1
What is the tens digit of 5456?
5
What is the tens digit of 18?
1
What is the thousands digit of 4220?
4
What is the tens digit of 1451?
5
What is the hundreds digit of 11481?
4
What is the thousands digit of 2251?
2
What is the thousands digit of 5750?
5
What is the hundreds digit of 291?
2
What is the units digit of 1025?
5
What is the hundreds digit of 380?
3
What is the units digit of 558?
8
What is the hundreds digit of 1389?
3
What is the thousands digit of 6311?
6
What is the thousands digit of 4796?
4
What is the units digit of 1111?
1
What is the hundreds digit of 1694?
6
What is the tens digit of 41624?
2
What is the ten thousands digit of 12298?
1
What is the hundreds digit of 720?
7
What is the hundreds digit of 1258?
2
What is the tens digit of 7027?
2
What is the tens digit of 1885?
8
What is the hundreds digit of 1272?
2
What is the tens digit of 602?
0
What is the ten thousands digit of 31058?
3
What is the units digit of 410?
0
What is the tens digit of 92?
9
What is the tens digit of 110606?
0
What is the thousands digit of 33565?
3
What is the tens digit of 2292?
9
What is the thousands digit of 1847?
1
What is the thousands digit of 15919?
5
What is the tens digit of 5732?
3
What is the tens digit of 8956?
5
What is the ten thousands digit of 75660?
7
What is the thousands digit of 11121?
1
What is the thousands digit of 2302?
2
What is the thousands digit of 13187?
3
What is the ten thousands digit of 19702?
1
What is the ten thousands digit of 45086?
4
What is the units digit of 1002?
2
What is the tens digit of 227?
2
What is the hundreds digit of 30767?
7
What is the units digit of 635?
5
What is the hundreds digit of 104180?
1
What is the hundreds digit of 4121?
1
What is the units digit of 2416?
6
What is the ten thousands digit of 32657?
3
What is the hundreds digit of 3054?
0
What is the hundreds digit of 2678?
6
What is the tens digit of 6045?
4
What is the thousands digit of 52618?
2
What is the thousands digit of 10292?
0
What is the units digit of 30230?
0
What is the hundreds digit of 24522?
5
What is the hundreds digit of 288?
2
What is the hundreds digit of 126283?
2
What is the units digit of 42082?
2
What is the hundreds digit of 1697?
6
What is the tens digit of 560?
6
What is the tens digit of 14167?
6
What is the thousands digit of 5579?
5
What is the hundreds digit of 9396?
3
What is the units digit of 2969?
9
What is the hundreds digit of 675?
6
What is the units digit of 6692?
2
What is the tens digit of 45667?
6
What is the thousands digit of 2313?
2
What is the tens digit of 1222?
2
What is the units digit of 2724?
4
What is the units digit of 2098?
8
What is the hundreds digit of 13021?
0
What is the hundreds digit of 32831?
8
What is the tens digit of 6299?
9
What is the tens digit of 2435?
3
What is the units digit of 3908?
8
What is the units digit of 1213?
3
What is the tens digit of 13667?
6
What is the hundreds digit of 1513?
5
What is the units digit of 2671?
1
What is the thousands digit of 4533?
4
What is the thousands digit of 58527?
8
What is the thousands digit of 2324?
2
What is the thousands digit of 2633?
2
What is the units digit of 4373?
3
What is the units digit of 25428?
8
What is the hundreds digit of 252?
2
What is the ten thousands digit of 22376?
2
What is the hundreds digit of 6067?
0
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
f(d) = -7*d**2 + 16*d + 8. Let u(c) = -2*f(c) + 5*w(c). Calculate u(h).
19
Let l(c) = 3*c**3 + c**2 - 2*c. Let d = 192 - 101. Let x be (-208)/d + 2/7. Determine l(x).
-16
Suppose 4*g + 2*z + 3 = 41, -2*g + z = -21. Suppose 0 = -2*a + 4*p - 2, 2*a - g = p - 12. Let b(d) = -d + 1. Give b(a).
2
Let y be (-1)/(-3)*60/4. Suppose -y*d - 7*d + 12 = 0. Let c(t) be the second derivative of -19*t**4/12 + t**3/3 - t**2/2 + t. Calculate c(d).
-18
Let a(u) = 7*u - 26. Suppose -4*l - d = -24, -40*l - 12 = -42*l - d. Determine a(l).
16
Suppose -2*c + 4*c + 8 = 0, -38 = 3*g + 5*c. Let j be 2/(-15) - g/45. Let h be (j/(-21))/(0 - 1). Let f(s) = s**3 - s. Determine f(h).
0
Let d = 199 + -188. Let x(v) = -13*v + 79. Let f(w) = 7*w - 39. Let r(b) = 5*f(b) + 3*x(b). Let i be r(d). Let j(p) = -3*p - 2. Calculate j(i).
4
Let s(h) be the third derivative of h**6/120 - 7*h**5/60 - h**3/6 + h**2. Suppose 3*d = -1 + 13. Suppose b + 23 = 3*n - 0*b, -3*n + d*b = -29. What is s(n)?
-1
Let n(g) = -g**3 + 2*g**2 - 40*g + 79. Let t be n(2). Let s(h) = -37*h**2 + h + 1. Give s(t).
-37
Let p = -43 + 40. Let y be (-21)/(-15) + 4/(20/3). Let q(l) = -l - 2*l**2 + y*l - 3*l**2 + 3*l**2 - l**3. Calculate q(p).
6
Let b be 6/(-1)*64/24. Let m = 22 + b. Let g(n) = -n + m - n**2 - 1 - 5 + 3. What is g(-3)?
-3
Let u(p) = -p**2 + 6*p - 3. Let w(z) = 34 + 43*z - 40*z + 15. Let y be w(-15). Let d be ((-39)/15 - -3)*20/y. Calculate u(d).
5
Let d be (-8)/2*(-1)/(-4). Let q(l) = 27*l + 2. Determine q(d).
-25
Let s(x) = -8*x**3 - x. Let j be s(-1). Let k(g) = j*g**2 + 3*g - 8*g**2 + 3 - 6*g. Let c = -12 - -16. Determine k(c).
7
Let q be (-5 + 7 - 7) + -46. Let r = q - -42. Let h(n) be the third derivative of -n**6/120 - 2*n**5/15 + 5*n**4/12 + n**3 + 5*n**2. Calculate h(r).
-3
Let q(o) = 19193*o + 2 + 19193*o - 38385*o. Let t(u) = -11*u - 1. Let y(m) = -7*m - 1. Let v(i) = -5*t(i) + 8*y(i). Let p be v(-9). Give q(p).
8
Let y = 91 - 20. Let d = y + -35. Let l(p) = -38*p**2 + d*p**2 - 3*p**3 - p**3 + 3*p**3. Calculate l(-2).
0
Let m(s) = -17*s - 10. Suppose 0 = -71*q + 74*q + 9. Let z(d) = 15*d + 7. Let t(k) = q*z(k) - 2*m(k). Give t(1).
-12
Let p(u) = -u**2 - 9*u + 6. Let r be p(-8). Let n(j) be the first derivative of 1/3*j**3 + 1/2*j**2 + r - 3*j. What is n(-3)?
3
Let k(u) be the third derivative of -u**4/24 + 11*u**3/3 - 601*u**2. What is k(12)?
10
Let r(c) = -32 + 27 + 591*c**2 - 1180*c**2 - 83 + 590*c**2. What is r(9)?
-7
Let w = -4686 + 14059/3. Let o(i) be the third derivative of 0*i - w*i**3 + 22*i**2 + 0 + 1/24*i**4. Calculate o(6).
4
Suppose -2*f - 4*r + 78 = -5*f, 2*r - 78 = 3*f. Let u = f + 27. Let i(b) = -2*b - 2 - 9*b**2 + u + b**2. What is i(-1)?
-7
Let r(h) be the third derivative of 2/3*h**3 + 31*h - 1/60*h**5 + h**2 + 0 - 1/12*h**4. Calculate r(-4).
-4
Let c(u) = 64*u**2 - 7*u + 41*u**2 - 106*u**2 + 17. What is c(-8)?
9
Let h be -2*((-450)/(-4))/15. Let d(w) = w**3 + 17*w**2 + 33*w + 5. Give d(h).
-40
Let y(g) be the second derivative of -g**5/20 - 5*g**4/12 + 2*g**3/3 + 7*g**2/2 + 121*g. Suppose 3*d + 5 + 10 = 0. Let l = d - 0. Give y(l).
-13
Let s(m) be the second derivative of 11*m**3/6 + 35*m**2/2 - 5487*m. Determine s(-7).
-42
Let m(n) = -n**3 + 8*n**2 + 9*n - 8. Suppose 0 = 12*z + 661 + 1127. Let t = 158 + z. Give m(t).
-8
Let h = -2425 - -2427. Let q(w) be the first derivative of -7/2*w**h - 19 + 3*w + 1/3*w**3. What is q(7)?
3
Let p(r) = -r + 7. Suppose 0 = -4*b + 5*a + 11, -5*b + a + 25 = 6*a. Let c(d) = -d + 8. Let z(f) = b*c(f) - 5*p(f). Determine z(3).
0
Let l(z) be the third derivative of z**4/24 - 2*z**3/3 + z**2 - 8532*z. Suppose 0*d + 40 = 5*d. Let t be (d - 6)/(1/2). Calculate l(t).
0
Let w(h) = -7*h**3 + 21*h**2 + 5*h + 8. Let v(q) = -4*q**3 - 31 + 3*q - 30 + 66 + 11*q**2. Let l(g) = 5*v(g) - 3*w(g). Calculate l(8).
1
Let z be 15/35 + 75/21. Let j = 12 + -10. Let m(p) = z*p - 7*p + 4*p + 5*p**2 + p**j. Give m(-1).
5
Let w(k) = 3*k + 4. Let q(d) = -2*d - 2. Let c be ((-2)/(-6))/(43/(-645)). Let z(x) = c*q(x) - 2*w(x). What is z(-1)?
-2
Let n(t) = 2*t**2 + 17*t + 30. Let o be n(-6). Let h(p) = -4 + 2*p - p + 3 + o. Calculate h(0).
-1
Let r(j) = -28*j - 5. Let l be -3 + 19*(-17)/(-323). Determine r(l).
51
Let w(f) = f**3 + 5*f**2 + 4*f - 4. Suppose -15 = 10*r - 5*r. Let i be w(r). Let s(k) = 3*k. What is s(i)?
6
Let t(o) = 13*o**3 + 2*o. Let a(v) = 27*v**3 + 5*v. Suppose -16 = 7*k - 37. Let j(y) = k*a(y) - 7*t(y). Give j(-1).
9
Let g(y) = 1268*y + 12684. Let v be g(-10). Let l(q) = -3*q - 10. Determine l(v).
-22
Let d(h) = -7*h**3 + 2*h**2 - 5*h + 2. Let x(n) = 4*n - 2 + n**2 + n**3 - 2*n**2 + 5*n**3. Let g = 355 - 360. Let s(o) = g*d(o) - 6*x(o). Give s(-3).
-10
Let c be (-7 + 78/12)*-4. Suppose 0 = q + f + 7 - 4, 4*q - c*f + 42 = 0. Let u(o) = o**2 + 7*o + 4. Give u(q).
12
Let m(z) = 15*z**2 - 24*z**2 + 65 - 10*z + 31*z + 10*z**2. Give m(-18).
11
Let u(w) = 8*w + 107. Let f be u(-12). Let r(n) = -2*n**2 + 26*n - 2. Give r(f).
42
Let l = 20 - -17. Suppose -13*o + l + 15 = 0. Let q(s) = -3*s**2 + 3*s + 5. Give q(o).
-31
Let a(d) be the first derivative of 1/3*d**3 + 42 - 1/4*d**4 - 4*d + 1/2*d**2. Determine a(0).
-4
Let x(j) = -12*j - 33. Let v be -9 + -6 + (0 - -10). What is x(v)?
27
Let f(l) = -2448*l**2 + 2449*l**2 + 111 - 103 + 10*l. What is f(-5)?
-17
Let i(q) = 8*q - 2. Let m(k) = k - 12. Let d(s) = 16*s. Let u be d(1). Let a be m(u). Suppose -a*n - n = -10. Calculate i(n).
14
Let x(z) = -z + 3. Suppose 5*k + 2*q - 41 = q, 5*q - 29 = -3*k. Suppose k*h + 30 - 14 = 0. Calculate x(h).
5
Let t(j) = -10*j + 97. Let v(h) = 12. Let b(n) = 3*t(n) - 24*v(n). What is b(2)?
-57
Let j be (165/99)/(10/(-36)). Let f(n) = 7*n**3 - 10*n**2 + 4*n + 4. Let v(u) = 15*u**3 - 23*u**2 + 9*u + 8. Let k(b) = j*v(b) + 13*f(b). What is k(-8)?
20
Let k be (3/2)/((-17 - -22)/(-70)). Let q(f) = -f**2 - 20*f + 4. Determine q(k).
-17
Let q be (-2)/(-4) + (-104)/(-16) + -6. Suppose 24 = -2*j + 5*s, 0 = -j - 2*s + q + 5. Let c(p) = 4*p**2 - 3*p - 3. What is c(j)?
19
Let r(t) = -2*t**2 - 7*t + 1. Suppose -200 = y - 197. Let f = y + 63. Let j = 55 - f. Give r(j).
-14
Let x(l) = 13370*l - 26695*l + 13363*l + 10 - l**3. Determine x(-6).
-2
Let a be (-380)/2090 + 237/33. Let j(f) = -27*f + 180. What is j(a)?
-9
Let y(b) = 17*b - 19. Let n(k) = 13*k - 1 - 58*k + 26*k + 23. Let t(p) = 5*n(p) + 6*y(p). Give t(3).
17
Suppose -5*s + 3*t + 581 = 0, s + t = 3*t + 112. Let z = 125 - s. Suppose 2*i + k = -2*i + 29, 3*i - 5*k + z = 0. Let x(w) = 3*w - 4. Give x(i).
14
Let s be ((-35)/14)/((-5)/12). Let x be s/24 + (-38)/(-8). Let p(b) = b**2 - 1. Let n(k) = -k**3 + 8*k**2 - 6*k + 4. Let d(g) = n(g) - 2*p(g). Calculate d(x).
1
Let y(u) = 11*u**3 - u**2 + 2*u + 2. Let h(i) = 64*i**3 + 2*i**2 - 2*i + 13. Let t(n) = -h(n) + 6*y(n). Determine t(4).
55
Let q = -2264 + 1538. Let b be q/102 + 2/17. Let p(t) = t**2 + 7*t - 12. Determine p(b).
-12
Let s = 10 - 6. Let z(q) be the third derivative of 0*q + 1/24*q**4 + 1/120*q**6 + 1/6*q**3 - 1/20*q**5 + 0 + 167*q**2. What is z(s)?
21
Let n(s) = -s**3 - 7*s**2 - s - 4. Let t be n(-7). Let w be (4/(-5))/((-2)/80). Let f(x) = -3 + w*x - 31*x + 2*x**2 - x**2. Determine f(t).
9
Let c be 3/(-7)*7*(-4)/6. Let t(q) = -9*q**2 + 10*q + 3 - 6*q**2 - 8*q**c + 34*q**2 - 10*q**2. Determine t(-9).
-6
Let u = 6281 - 6279. Let y(r) be the second derivative of 0 + u*r**2 + 1/3*r**3 + 3*r. Determine y(-3).
-2
Suppose 0 = -2*i - 4*i + 288. Let a = i - 38. Let k(b) = -9*b**2 + a*b + 5*b - 26*b + b**3 + 11. What is k(10)?
1
Let q(l) = -7*l - 41. Let i(w) = -7*w + 1. Let g be i(1). Let r be q(g). Let m(u) = 6*u**3 - u**2 + 2*u - 1. Determine m(r).
6
Let u = -25 - -29. Suppose 5*s - 3*s = -3*n + 15, -39 = -u*s - 3*n. Suppose -21*y = -s*y + 45. Let z(r) = r + 2. What is z(y)?
-3
Let r(s) be the third derivative of -s**4/24 - 5*s**3/6 - 4*s**2 - 200*s - 1. Let q = 11 + -7. Suppose 2*w = -q*d - 14, -d - 2*w + 2 = -7*w. Calculate r(d).
-2
Let u = 6 - 11. Let v(h) = 3*h**2 - 30*h - 29. Let n(t) = t**2 - 11*t - 10. Let l(j) = 11*n(j) - 4*v(j). Determine l(u).
-14
Let w(i) = i**3 + 16*i**2 - 18*i - 25. Suppose 9439 = -6*p - 3899. Let s be p/133 - 2/7. Determine w(s).
-8
Let w(k) = 20*k**2 - 13*k + 25*k**2 - 22*k - 46*k**2 + 56 + 40*k. Give w(11).
-10
Let r(p) = p**2 - 8*p + 7. Let x = -470
|
{
"pile_set_name": "DM Mathematics"
}
|
5720 divided by -4?
1886430
Divide -462 by -1706.
231/853
What is 32542960 divided by -2512?
-12955
11 divided by 337906
11/337906
-21151854 divided by 3
-7050618
-558814620 divided by 1432858
-390
647 divided by 1570
647/1570
-250 divided by 462632
-125/231316
64753888 divided by 1
64753888
What is 348 divided by -327026?
-174/163513
Calculate -116279178 divided by 6.
-19379863
Divide -2891526 by -33.
87622
Calculate -33864473 divided by 179.
-189187
Calculate 2393 divided by 11068.
2393/11068
What is -363123460 divided by -9610?
37786
What is -10957376 divided by 2?
-5478688
Divide 269099520 by 12.
22424960
What is -2649 divided by 3410?
-2649/3410
Divide 61472 by -1.
-61472
Calculate 3004584 divided by 14376.
209
What is 22097985 divided by 455?
48567
-149923386 divided by 14661
-10226
-168231 divided by 54
-56077/18
10332837 divided by 3444279
3
Divide -7157940 by 10.
-715794
What is 4595 divided by 16542?
5/18
-1962 divided by 36712
-981/18356
Divide 1145005 by 16.
1145005/16
397767655 divided by -1
-397767655
85 divided by 118974
85/118974
What is 1333 divided by 321267?
1333/321267
What is -155 divided by -120237?
155/120237
Calculate -3409862 divided by -292.
1704931/146
What is -492862 divided by 937?
-526
Calculate 50793042 divided by 102.
497971
Divide 56 by 1756993.
8/250999
What is 2 divided by 2252474?
1/1126237
What is -46179560 divided by -980?
47122
Divide 3458652 by -3.
-1152884
What is 2571 divided by 272?
2571/272
Divide -4 by -13235813.
4/13235813
Divide 170 by -22763.
-10/1339
Divide 1247052 by 51.
24452
Divide -30212152 by 7553038.
-4
1431915540 divided by -681540
-2101
What is -23750797 divided by 2291?
-10367
What is -499779 divided by -201?
166593/67
Calculate -3166191 divided by 21.
-150771
Calculate 5430408 divided by -3.
-1810136
Divide 4895 by 1796.
4895/1796
Calculate 1104 divided by -45890.
-552/22945
Divide 1894650 by -1275.
-1486
What is -28870633 divided by -11?
2624603
What is 7319598 divided by -29634?
-247
Calculate 30455379 divided by 3.
10151793
What is -134265544 divided by -9590396?
14
Calculate -451529235 divided by -135.
3344661
Divide -18252324 by 9126162.
-2
Divide 1432000796 by 4.
358000199
115245 divided by 1313
8865/101
Divide -72377 by -218.
72377/218
-10863852 divided by 426
-25502
Divide 17264478 by -74738.
-231
Calculate 320202144 divided by -296.
-1081764
What is 1624015 divided by 3?
1624015/3
Calculate 0 divided by -140129307.
0
Divide 254 by 754537.
254/754537
Divide 1318927788 by -219821298.
-6
106 divided by -257320
-53/128660
What is 1011368 divided by -10?
-505684/5
Divide -12 by -799603.
12/799603
Divide 2478309 by -1.
-2478309
Divide -34835724 by -11611908.
3
-9 divided by -56531236
9/56531236
2525433 divided by 14
2525433/14
What is -186110 divided by 481?
-5030/13
What is -97841521 divided by -3?
97841521/3
Divide 18520644 by 6.
3086774
Divide -47427 by -550.
47427/550
Calculate -231374556 divided by -3177.
72828
What is -131374496 divided by 44?
-2985784
What is -58859104 divided by 29429552?
-2
Divide -7365310 by -39.
7365310/39
Calculate 4431472 divided by 103.
43024
What is -46313093 divided by -1?
46313093
What is -39144204 divided by -9?
4349356
Divide 557571844 by -179978.
-3098
Divide 4 by -49180984.
-1/12295246
Divide -3898224 by 48.
-81213
-207658215 divided by -58413
3555
12492136 divided by 4
3123034
4300 divided by -12816
-1075/3204
Divide 36615961 by 6.
36615961/6
Divide -23 by 817198.
-23/817198
-38893612 divided by 9
-38893612/9
Divide 4066222 by -70.
-2033111/35
-118503 divided by -286
10773/26
Divide 1254 by -1512.
-209/252
What is 3459308 divided by -19996?
-173
Calculate -868277 divided by -57.
868277/57
Calculate -4204 divided by -323.
4204/323
Divide -106999860 by -5349993.
20
-37 divided by 4618020
-37/4618020
Calculate -195514569 divided by 3.
-65171523
Divide -68743843 by -1.
68743843
Divide -331409 by -170.
331409/170
Divide 182 by -11113.
-182/11113
1755573 divided by -3
-585191
Divide -59226352 by 58.
-1021144
2348895798 divided by -3
-782965266
Calculate 47931405 divided by 6.
15977135/2
What is -19853 divided by 1464?
-19853/1464
-15633 divided by -37594
15633/37594
Divide -92163053 by -5.
92163053/5
What is 27726 divided by -1492?
-13863/746
What is -278025 divided by 357?
-92675/119
473451792 divided by -10760268
-44
-436992 divided by 50
-218496/25
Calculate -11414 divided by 1204.
-5707/602
Calculate -15466 divided by -1924.
209/26
Divide 177383 by 428.
177383/428
Divide -41221728 by 1288179.
-32
-79101 divided by -792
799/8
71813140 divided by -20
-3590657
5017006 divided by -61183
-82
Calculate -1708499568 divided by -6.
284749928
Divide 3 by -18656128.
-3/18656128
Calculate 190 divided by -11355.
-38/2271
Calculate 3507310 divided by -350731.
-10
Divide 80231983 by 1.
80231983
What is -175878 divided by 2152?
-87939/1076
Calculate 27 divided by 43700295.
9/14566765
What is 1217144 divided by -31?
-1217144/31
What is 2 divided by 4396507?
2/4396507
Calculate 34998590 divided by 6999718.
5
Divide 16799 by 4899.
16799/4899
Divide 59901218 by 49019.
1222
Calculate -2472 divided by 144.
-103/6
Calculate 3 divided by 103215088.
3/103215088
-21498125 divided by 4299625
-5
Divide 912 by -14980.
-228/3745
54197496 divided by -6021944
-9
Calculate -51409408 divided by -12956.
3968
Calculate -22640050 divided by 2264005.
-10
-27009 divided by 119
-27009/119
-14026770 divided by -4675590
3
Calculate 27 divided by 3585577.
27/3585577
16006322 divided by 38
421219
Calculate -136667 divided by -117.
136667/117
12091117 divided by 5
12091117/5
Calculate 10 divided by 18608958.
5/9304479
20557 divided by 1936
20557/1936
23256086 divided by -19894
-1169
Divide 45 by 27491.
45/27491
1211 divided by -13963
-1211/13963
What is -5588 divided by 21889?
-5588/21889
Calculate -161 divided by -5785.
161/5785
416 divided by -400
-26/25
Calculate -788 divided by -1613.
788/1613
Divide 27509164 by -4.
-6877291
Divide 5 by -1443926.
-5/1443926
5 divided by -11256779
-5/11256779
Calculate -1201759506 divided by 922302.
-1303
-38210 divided by 570
-3821/57
Calculate -150542700 divided by -836.
180075
What is -1603320 divided by 17?
-1603320/17
What is 7408896 divided by 9647?
768
Divide -18514871 by -17033.
1087
What is -51318760 divided by -25659380?
2
What is 355894668 divided by -27?
-13181284
Divide -527328006 by 87888001.
-6
Divide 20 by 138920.
1/6946
Divide -3160 by 8.
-395
What is -539257362 divided by -21?
25678922
Calculate 6277832 divided by 570712.
11
Calculate -8467704 divided by 18.
-470428
140183496 divided by -6
-23363916
What is -64803090 divided by -1178238?
55
118268470 divided by 44969
2630
Calculate -22 divided by 443113.
-2/40283
Calculate -186 divided by -104895.
62/34965
Divide -1673336 by 7.
-239048
Divide 4911810 by 5.
982362
What is -103449354 divided by -34483118?
3
Divide -218747 by 5.
-218747/5
What is -112720944 divided by 28180236?
-4
Divide -2029 by 3959.
-2029/3959
What is 0 divided by -4168931?
0
Calculate 47295720 divided by 90.
525508
Divide -413805305 by -82761061.
5
Divide -42197288 by 2.
-21098644
-10512200 divided by -20
525610
What is 32248 divided by -3255?
-32248/3255
8 divided by -3402450
-4/1701225
Calculate 5233996 divided by 13.
5233996/13
25779962 divided by 559
46118
What is 3969399 divided by 7?
567057
Calculate -3 divided by -7602467.
3/7602467
-19931 divided by 91
-19931/91
What is 0 divided by -41468434?
0
Calculate 6624566 divided by 93.
6624566/93
Calculate -25293114 divided by 4.
-12646557/2
6419088 divided by 1069848
6
Divide -1 by -5569371.
1/5569371
What is 163283958 divided by -1206?
-135393
-8572008 divided by 12
-714334
Divide 1459 by 16755.
1459/16755
Calculate -1003996032 divided by 6.
-167332672
What is -764 divided by 536?
-191/134
617729018 divided by 3958
156071
172 divided by 36719
172/36719
-1730 divided by -146955
346/29391
What is 24279 divided by -828?
-8093/276
Calculate 2661 divided by 146976.
887/48992
-641780390 divided by -128356078
5
What is -82 divided by 589217?
-82/589217
What is 32317692 divided by -26147?
-1236
5418 divided by -12070
-2709/6035
Divide 40700532 by -236631.
-172
What is 548 divided by 98383?
548/98383
What is -159750305 divided by 2457697?
-65
-474626607 divided by 173855
|
{
"pile_set_name": "DM Mathematics"
}
|
1456546894
Calculate the smallest common multiple of 42 and 30343306.
91029918
Calculate the common denominator of 16/124483731 and 37/27.
1120353579
Find the common denominator of -107/36 and 59/355612788.
355612788
Find the common denominator of -1/11214723 and -38/27.
100932507
Calculate the smallest common multiple of 2758404 and 13541256.
148953816
Calculate the common denominator of -43/9653248 and 46/121.
106185728
Find the common denominator of 7/211599 and -8/540753.
4866777
What is the least common multiple of 11600775 and 6345?
34802325
What is the lowest common multiple of 264 and 11701806?
514879464
What is the least common multiple of 182990152 and 45747538?
182990152
Calculate the least common multiple of 7243104 and 121.
79674144
Calculate the lowest common multiple of 241820880 and 66.
2660029680
Find the common denominator of -63/3465592 and -85/183488.
1691208896
What is the least common multiple of 40144644 and 4104?
240867864
What is the smallest common multiple of 29772 and 2192377?
78925572
Calculate the common denominator of 64/2145 and 50/483821.
79830465
What is the common denominator of -89/18 and -11/9802504?
88222536
What is the common denominator of 32/68301789 and 145/114?
136603578
What is the least common multiple of 40713992 and 24?
122141976
Find the common denominator of -127/578394 and 31/132.
12724668
Find the common denominator of 109/892804 and -15/1408.
28569728
Find the common denominator of 8/25112211 and 73/446259.
276234321
Find the common denominator of -28/449 and 65/66026.
29645674
Calculate the smallest common multiple of 22 and 1392569084.
15318259924
Calculate the least common multiple of 320022 and 76527.
3520242
Calculate the least common multiple of 592 and 37814.
302512
Calculate the smallest common multiple of 52516 and 24484.
321450436
What is the common denominator of 21/26710 and 63/131880625?
263761250
Calculate the smallest common multiple of 2214 and 984069.
80693658
Find the common denominator of -28/2175 and -197/2951040.
14755200
Calculate the least common multiple of 210 and 3166548.
15832740
Calculate the common denominator of -23/134660025 and 25/6.
269320050
Calculate the smallest common multiple of 209 and 30448374.
30448374
What is the smallest common multiple of 558055701 and 717500187?
5022501309
Calculate the common denominator of -117/27434 and 97/2706.
3374382
Calculate the common denominator of -51/3842146 and 123/62986.
3842146
What is the common denominator of -99/1495568 and 61/5421434?
43371472
Calculate the common denominator of 71/17626 and 35/15188.
133851844
What is the common denominator of 52/77 and 111/77384692?
77384692
Calculate the smallest common multiple of 32 and 2948704.
2948704
What is the least common multiple of 61604976 and 46?
1416914448
Calculate the smallest common multiple of 9406476 and 56214.
28219428
Calculate the common denominator of 81/333700 and 17/73272.
86094600
What is the least common multiple of 8743310 and 35?
61203170
Calculate the least common multiple of 85980 and 2900.
12467100
Find the common denominator of 67/23226 and 41/1036322.
21762762
Calculate the smallest common multiple of 436248 and 2617488.
2617488
Calculate the least common multiple of 8 and 508199041.
4065592328
Calculate the smallest common multiple of 4186650 and 2093325.
4186650
Find the common denominator of 85/107946 and -181/8670.
155981970
Calculate the lowest common multiple of 4702590 and 11.
51728490
Find the common denominator of 101/53308120 and 79/296.
53308120
Calculate the common denominator of -49/261 and 28/16135803.
16135803
Calculate the common denominator of 23/459165484 and -11/3.
1377496452
What is the common denominator of 79/95823 and 179/778596?
273287196
Calculate the lowest common multiple of 55702877 and 46307211.
3843498513
Calculate the smallest common multiple of 1377747 and 75776085.
75776085
Calculate the common denominator of -131/5154 and -1/5179770.
5179770
Calculate the lowest common multiple of 4052103 and 130713.
4052103
Calculate the common denominator of 11/2640300 and 14/34527.
44885100
Find the common denominator of 19/426615 and 94/2499.
2986305
What is the smallest common multiple of 170 and 43301400?
736123800
Find the common denominator of 81/182 and -20/16750041.
435501066
What is the least common multiple of 1117823 and 3339?
10060407
What is the least common multiple of 2230394 and 125656?
8921576
Calculate the smallest common multiple of 13899762 and 783.
403093098
Calculate the common denominator of 97/3858580 and -83/841872.
46302960
Calculate the common denominator of 71/53880 and 107/5160.
2316840
What is the smallest common multiple of 92880 and 8190?
8452080
What is the lowest common multiple of 140 and 23428636?
117143180
What is the common denominator of 30/7099 and -25/2691792?
616420368
What is the common denominator of -121/42783264 and 119/24?
42783264
Calculate the lowest common multiple of 30324150 and 35378175.
212269050
Find the common denominator of 59/6 and -119/14626110.
14626110
What is the smallest common multiple of 15438 and 287678?
26754054
Calculate the lowest common multiple of 9238848 and 24.
9238848
Find the common denominator of 151/11676 and 75/22756.
66424764
Calculate the smallest common multiple of 9619568 and 3607338.
28858704
What is the common denominator of -71/1050 and 65/7118664?
177966600
What is the lowest common multiple of 45386075 and 174450?
272316450
What is the common denominator of 101/514854 and -11/96?
8237664
What is the common denominator of -4/44275 and 43/110055?
3851925
What is the lowest common multiple of 93976 and 15787968?
15787968
Calculate the smallest common multiple of 30050 and 582500.
350082500
What is the smallest common multiple of 728784 and 246784?
46642176
Find the common denominator of -53/797389703 and -47/21873533.
8771286733
Calculate the lowest common multiple of 6061 and 1347632.
39081328
What is the common denominator of -85/5534584 and 113/792?
49811256
What is the least common multiple of 32516 and 111386?
164628508
Find the common denominator of -3/1367 and 22/2429159.
2429159
What is the common denominator of 107/5232762 and 89/94189716?
94189716
Calculate the smallest common multiple of 7 and 1081598.
1081598
What is the common denominator of 121/1010 and 75/6783766?
33918830
What is the lowest common multiple of 2863 and 362374?
2536618
Find the common denominator of 37/402006 and -77/6.
402006
What is the lowest common multiple of 2334808 and 94472?
16343656
Find the common denominator of -47/1392480 and -77/9670.
1392480
Calculate the common denominator of -21/110 and 46/100820005.
201640010
Calculate the least common multiple of 139803686 and 2442.
419411058
What is the common denominator of -41/854700 and -82/99?
2564100
Find the common denominator of 7/16726512 and 187/90.
250897680
Find the common denominator of 61/13546548 and 28/387.
13546548
Calculate the common denominator of 8/27 and 11/16205637.
145850733
What is the common denominator of 145/68932374 and 109/11410?
344661870
Calculate the smallest common multiple of 216700 and 595925.
2383700
Calculate the lowest common multiple of 674796 and 6042.
12821124
Calculate the common denominator of 59/5044 and -45/29358602.
58717204
Find the common denominator of 81/800 and 17/227312.
11365600
What is the common denominator of -30/71 and 44/148471?
10541441
Find the common denominator of -37/112528 and 55/42198.
337584
Calculate the lowest common multiple of 4595 and 13282307.
66411535
Find the common denominator of 31/108973982 and -13/6.
326921946
What is the common denominator of 11/4197824 and -85/1216?
79758656
Calculate the least common multiple of 1128006 and 2954.
7896042
What is the least common multiple of 14976 and 1205880?
57882240
What is the smallest common multiple of 8483880 and 51240?
59387160
Calculate the lowest common multiple of 18213870 and 135.
163924830
Calculate the lowest common multiple of 531 and 41382423.
41382423
Calculate the smallest common multiple of 3204 and 227649.
243129132
Calculate the smallest common multiple of 6363188 and 1352.
12726376
Calculate the common denominator of 16/815 and 56/832767.
4163835
Find the common denominato
|
{
"pile_set_name": "DM Mathematics"
}
|
1. Let a(r) = 17*y(r) - 6*z(r). Factor a(x).
-5*(x - 3)*(x - 1)*(x + 1)
Suppose 10 = q + 4*l - 18, -68 = -4*q - 5*l. Suppose 0*k + 3*k - q = 0. What is w in 5*w**2 - 2*w**3 + 3*w**2 - w**k - 4 + w**2 - 6*w**2 + 4*w = 0?
-2, 1
Let d(b) be the second derivative of b**6/45 - b**5/10 - 5*b**4/18 + b**3/3 + 4*b**2/3 - 31*b + 1. Let d(q) = 0. Calculate q.
-1, 1, 4
Let m(t) be the third derivative of 2*t**7/105 + t**6/15 - 13*t**5/5 + 12*t**4 - 271*t**2. Solve m(x) = 0.
-8, 0, 3
Suppose -104 = -8*r - 8. Suppose 4*y - r = 0, 0 = 3*b + 4*y + 13 - 40. Find f, given that 0 + 4/3*f**4 + 0*f**3 + 2/3*f**b - 4/3*f**2 - 2/3*f = 0.
-1, 0, 1
Let v(j) be the third derivative of 0 + 2/15*j**4 - 1/75*j**6 + 0*j + 6*j**2 - 1/75*j**5 + 2/5*j**3. Factor v(k).
-4*(k + 1)**2*(2*k - 3)/5
Let v be (-210)/(-24)*-2 + (-2)/(-4). Let p be (v - -18)*(-1 - (-5 + 1)). Determine i, given that 0*i + 4/3*i**2 + 0 + 2/3*i**p = 0.
-2, 0
Suppose 5*n - d + 2 + 10 = 0, -5*d - 6 = -3*n. Let i be n/((-45)/40) - 1/(-3). What is z in 0 + 2*z**i - 1/3*z**2 + 4/3*z**5 + 0*z - 3*z**4 = 0?
0, 1/4, 1
Let g(j) = j**2 - 30*j - 50. Let y(d) = 7. Let o(r) = g(r) - 2*y(r). Suppose o(v) = 0. Calculate v.
-2, 32
Let r(m) = -m**2 - 2*m - 1. Let d(v) = -3*v**3 - 10*v**2 + 16*v + 23. Let q(s) = -d(s) + r(s). Factor q(z).
3*(z - 2)*(z + 1)*(z + 4)
Suppose 5*g - 10 = 5*j, 10 = 5*g - 4*g + 3*j. Factor 5*h**4 - h**g + 105*h**3 - 107*h**3 - 3*h**4 + h**2.
h**2*(h - 1)**2
Suppose -85*j + 95*j = 30. Let o(m) be the first derivative of -2 + 0*m - 1/6*m**4 - 4/9*m**j + 0*m**2. Determine d so that o(d) = 0.
-2, 0
Let o(b) be the first derivative of 11 + 0*b + 0*b**4 - 1/45*b**6 + 0*b**2 + 2/75*b**5 + 0*b**3. Let o(g) = 0. What is g?
0, 1
Let s(n) be the second derivative of -27*n - 64/9*n**3 + 8/9*n**4 + 0 + 0*n**2 - 1/30*n**5. Factor s(p).
-2*p*(p - 8)**2/3
Let x(a) be the third derivative of -5*a**8/336 + a**7/14 - a**6/12 - a**5/6 + 5*a**4/8 - 5*a**3/6 - a**2 - 71. Factor x(i).
-5*(i - 1)**4*(i + 1)
Factor -2023 - 1/7*v**2 + 34*v.
-(v - 119)**2/7
Let p(j) be the third derivative of -j**7/140 - j**6/10 - 21*j**5/40 - 11*j**4/8 - 2*j**3 + 2*j**2 - 5. Let p(r) = 0. Calculate r.
-4, -2, -1
Factor 8 - 3*b - 1/2*b**2.
-(b - 2)*(b + 8)/2
Let b(r) = -2*r**4 + 32*r**3 - 24*r**2 + 2*r. Let x(c) = -c**4 - 2*c**3 - c. Let y(k) = -b(k) - 2*x(k). Suppose y(g) = 0. What is g?
0, 1, 6
Solve 11*o**3 - 320*o**4 - 208 - 132*o**2 + 296*o + 322*o**4 + 3*o**3 = 0 for o.
-13, 2
Let g(w) be the second derivative of w**4/4 + 37*w**3/8 + 27*w**2/8 - 391*w. Factor g(u).
3*(u + 9)*(4*u + 1)/4
Let s(c) be the third derivative of -5*c**2 + 1/80*c**5 + 1/32*c**4 + 0 + 1/480*c**6 + 1/24*c**3 + 0*c. Suppose s(n) = 0. What is n?
-1
Suppose 3 = -4*a - 5*y - 4, -2*a - 3*y = 5. Let 9*j + 6*j + 3*j**2 + 2*j**a + 10 = 0. Calculate j.
-2, -1
Suppose -2*s + 10 = 2. Suppose -s*h = -6*h + 3*n + 19, 0 = -3*h - 3*n - 9. Solve 0*p + 0 - 2/3*p**h = 0 for p.
0
Let u(h) be the first derivative of -5*h**7/672 + h**6/288 - 3*h**3 - 10. Let y(z) be the third derivative of u(z). Factor y(k).
-5*k**2*(5*k - 1)/4
Let o(i) be the third derivative of i**5/570 - 37*i**4/114 + 1369*i**3/57 - 243*i**2. Factor o(v).
2*(v - 37)**2/19
Determine c so that 2*c**3 - 4*c**2 + 0 + 1/4*c**5 + 0*c + 7/4*c**4 = 0.
-4, 0, 1
Let t(v) be the third derivative of -v**5/90 - 4*v**4/9 + 3*v**2 - 41. Solve t(s) = 0 for s.
-16, 0
Let t be ((-6)/12)/((-6)/4 - -1). Let l(s) = 1024*s**3 + 1148*s**2 + 428*s + 50. Let p(f) = -f**2 - f - 1. Let n(c) = t*l(c) - 4*p(c). Factor n(k).
2*(8*k + 3)**3
Let r = 1336/435 + -252/145. Determine m, given that 8*m + r*m**2 - 28/3 = 0.
-7, 1
Let x = -848 + 855. Let h(z) be the third derivative of 0 + 1/30*z**5 - 1/18*z**4 + 7*z**2 + 1/630*z**x - 1/90*z**6 + 1/18*z**3 + 0*z. Factor h(f).
(f - 1)**4/3
Let y(x) be the third derivative of -1/48*x**4 + 0*x**3 - 13*x**2 + 0 - 1/240*x**5 + 0*x. Determine r, given that y(r) = 0.
-2, 0
Let s(u) = -3*u**3 - 866*u**2 + 127906*u - 6224262. Let m(k) = -k**3 + 2*k**2 + 2*k + 2. Let z(w) = -5*m(w) + s(w). Factor z(r).
2*(r - 146)**3
Let p(s) = 2*s**2 + 82*s + 168. Let z(n) = n**2 + 82*n + 169. Let q(c) = 6*p(c) - 8*z(c). What is l in q(l) = 0?
-2, 43
Suppose -g - 3*i = -1, 6*g - 2*g - 3*i - 49 = 0. Let y = 13 - g. Factor b**2 - 3*b**y - 3*b**2 + 3*b - 2 + 4*b**2.
-(b - 1)*(b + 1)*(3*b - 2)
Let k(b) be the third derivative of -4/735*b**7 + 1/70*b**6 - 2/105*b**5 + 0*b + 0*b**3 + 2*b**2 + 0 + 1/84*b**4 + 1/1176*b**8. Factor k(o).
2*o*(o - 1)**4/7
Let z = 182/3 - 883/15. Find v such that -3/5*v**2 - 6/5 - z*v = 0.
-2, -1
Suppose -i = -15 + 5. Let l be 16/(-20)*i/(-4). Find y such that 3*y**2 + 2*y - y + 4*y - l*y = 0.
-1, 0
Let x(s) be the second derivative of -s**5/30 + s**4/3 - 5*s**3/9 + s + 25. Factor x(l).
-2*l*(l - 5)*(l - 1)/3
Let u(n) = -40*n - 1920. Let c be u(-48). Factor c + 1/2*t**2 + 0*t - 1/2*t**4 + 1/2*t**3 - 1/2*t**5.
-t**2*(t - 1)*(t + 1)**2/2
Let y(p) be the second derivative of 10/3*p**3 + 27*p + 0 + 27/2*p**6 + 0*p**2 + 117/4*p**5 + 50/3*p**4. Factor y(v).
5*v*(v + 1)*(9*v + 2)**2
Let f(a) be the third derivative of -a**7/1050 - a**6/50 - 11*a**5/300 + 522*a**2. Factor f(d).
-d**2*(d + 1)*(d + 11)/5
Let f(o) be the third derivative of o**8/560 + o**7/75 + 13*o**6/600 - 3*o**5/50 - o**4/6 + 4*o**3/15 + 313*o**2. Find q such that f(q) = 0.
-2, 1/3, 1
Let m = 16/23 - -44/69. Let r(h) be the first derivative of -4*h**2 - 4*h - 5 - m*h**3. Factor r(q).
-4*(q + 1)**2
Let o(l) be the third derivative of l**6/210 - l**5/35 - 3*l**4/14 + 18*l**3/7 + l**2 + 60. Factor o(f).
4*(f - 3)**2*(f + 3)/7
Let h be (10/20)/((-1)/(-9)). Factor -3/2*v**3 + 0 + h*v**2 + 15*v.
-3*v*(v - 5)*(v + 2)/2
Let s(x) = -6*x**3 - 5*x**2 + 3*x + 2. Let j(f) = -4*f**3 + 2 + 3*f + 4*f**2 - 5*f**3 - 10*f**2 + 2*f**3. Let w(h) = -5*j(h) + 6*s(h). Factor w(z).
-(z - 2)*(z + 1)**2
Let k be -4 - 16/(-2) - 2. Let -2/15*f**k - 4/5*f - 6/5 = 0. What is f?
-3
What is x in -132/7*x - 80/7*x**2 + 216/7 - 4/7*x**3 = 0?
-18, -3, 1
Let j be 2/10*(-18)/(-216). Let p(l) be the second derivative of 0 - 9/4*l**2 - 11/12*l**4 - j*l**6 - 2*l + 1/5*l**5 + 2*l**3. Find q, given that p(q) = 0.
1, 3
Let r be 30/225 + (-11)/90. Let j(u) be the third derivative of 1/36*u**4 + u**2 + 0*u**3 - r*u**5 + 0*u + 0. Suppose j(n) = 0. Calculate n.
0, 1
Let y(r) = -7*r**3 + 26*r**2 - 13*r - 24. Let j(n) = 13*n**3 - 51*n**2 + 27*n + 44. Let h(x) = -6*j(x) - 11*y(x). Determine c so that h(c) = 0.
0, 1, 19
Let y be ((-1)/(-14))/(8/64). Let p(z) = -8*z**3 + 43*z**2 - 16*z + 7. Let c be p(5). Factor 0 + y*a - c*a**2.
-2*a*(7*a - 2)/7
Factor 4*r**2 + 3 - 271*r + r**3 - 3*r**2 + 266*r.
(r - 1)**2*(r + 3)
Let k be 4 - (1/3 - 740/60). Factor -k*y**2 - 15*y**2 + 2*y + 33*y**2.
2*y*(y + 1)
Let t(q) be the second derivative of q**9/1512 - q**8/420 - q**7/140 + 13*q**3/2 + 16*q. Let v(w) be the second derivative of t(w). Factor v(o).
2*o**3*(o - 3)*(o + 1)
Let z(q) be the first derivative of 8/3*q - 8*q**2 + 12*q**3 - 9*q**4 - 8 + 27/10*q**5. Factor z(k).
(3*k - 2)**4/6
Let q be -11*(36/(-54))/(2/(-15)). Let i be (0 + (4 - -1))*(-2)/q. Factor 0 + 2/11*a**5 - 2/11*a**3 + i*a**4 - 2/11*a**2 + 0*a.
2*a**2*(a - 1)*(a + 1)**2/11
Factor 9*w**3 + 6*w**3 + 80*w**2 - 92*w - 2 + 21*w**3 - 22.
4*(w - 1)*(w + 3)*(9*w + 2)
Let c(m) be the second derivative of -m**6/420 + m**4/84 + 11*m**2/2 + 9*m. Let f(j) be the first derivative of c(j). Factor f(i).
-2*i*(i - 1)*(i + 1)/7
Let i = -5 - -7. Factor -4*h + 12 - 3*h**i - 12 - 2*h.
-3*h*(h + 2)
Suppose -51 = -12*u + 9. Determine r, given that 4951 - 4951 + r**4 + r**u = 0.
-1, 0
Factor -5/3 + 5/3*u**2 + 5/2*u.
5*(u + 2)*(2*u - 1)/6
Solve 149*x - 133*x + 44*x**4 - 16 - 23*x**3 - 57*x**3 + 44*x**2 - 8*x**5 = 0.
-1/2, 1, 2
Let g(o) be the first derivative of -5*o**4/4 + 155*o**3/3 - 1275*o**2/2 + 1125*o - 106. Find t such that g(t) = 0.
1, 15
Let o = -65 + 41. Let n = -21 - o. Suppose -36 + 7*l + 57*l**n + 23*l + 9*l**3 + 10*l**4 + 122*l**2 = 0. Calculate l.
-3, -1, 2/5
Let -63*v**3 - 186*v**4 - 5*v**3 + 122*v**4 + 4*v**5 = 0. What is v?
-1, 0, 17
Let r = -70 - -220/3. Factor 4/9 + r*d + 56/9*d**2.
2*(4*d + 1)*(7*d + 2)/9
Solve 830/19*j**3 + 30/19*j**5 - 296/19*j**4 + 0 - 484/19*j**2 - 80/19*j = 0.
-2/15, 0, 1, 4, 5
Let y(r) = -r**2 - r + 1. Let o(q) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
r k.
-1
Let a be 0/(-2*(-2)/4). Suppose -4 = u, -5*f + 0*f + 2*u + 8 = a. Solve f = -4*c + c - 12 for c.
-4
Let b = 4 + 1. Solve -b*m + 2*m - 12 = 0 for m.
-4
Let w be 3*(3 - 21/9). Let r be 11 - ((2 - 1) + -2). Let t = r + -6. Solve -w*i = 2 + t for i.
-4
Let s = 15 - 12. Suppose -5*n - 8 + 0 = 4*k, -2*n + 4*k - 20 = 0. Let f be 2 - 0*(-2)/n. Solve s*a + 5 = f for a.
-1
Let b = 33 - 29. Solve b = 6*w - 7*w for w.
-4
Let n(g) = g - 6. Let p be n(3). Let y be p*(-3)/27*6. Solve -7*w - 10 = -y*w for w.
-2
Suppose 2*q - 67 = s, -3*s = 2*s + 25. Suppose i - 4*i - q = -4*n, 5*n = -3*i + 5. Suppose 5*g - 4 = 16. Solve g = -n*k - 4 for k.
-2
Let w(m) = -m**2 - 1 + 2*m**2 + 0*m**2 - m. Let s be w(-2). Solve 0*i = 5*i - s for i.
1
Suppose -r + 4 = -2. Solve r = -5*t + 1 for t.
-1
Suppose 5*x - 12 = 3*f, -4*x = x - 15. Let q = f - 1. Suppose 0 = -h + 5*h. Solve h*g + g - 1 = q for g.
1
Suppose 0 = -11*j + 4*j + 14. Solve -2 = j*r - 0 for r.
-1
Let w = -2 + 6. Suppose -2*y + w*t - 14 = 0, -4*t + 16 = -0*t. Solve -3*m - y - 11 = 0 for m.
-4
Let j(n) = -n - 2. Let z be j(-5). Solve z + 5 = 4*v for v.
2
Suppose -3*k = 2*p - 45, 4*p + k = -2*k + 93. Let b be ((-16)/p)/(4/(-30)). Solve b*c - 5 = 5 for c.
2
Let t = 9 + -8. Suppose 0 = -f + 1 + t. Solve -3*x + f = -13 for x.
5
Let n = -3 - -3. Let w be 9*((0 - 1) + n). Let b = w + 16. Solve 3*a = b + 2 for a.
3
Let l(y) = -2*y - 7. Let m be l(-6). Suppose t - m = -0, t = 2*p - 35. Suppose -3*v - 125 = -4*h - 8*v, 0 = -h + v + p. Solve -2*f + h = 3*f for f.
5
Suppose -5 = j - 1. Let v = j + 8. Solve -3 - 13 = v*p for p.
-4
Let g = 45 - 43. Solve -2*j - g = -10 for j.
4
Let u = 39 - 19. Solve 3*l = -l - u for l.
-5
Let t(v) = 2*v**2 - 9*v. Let d be t(5). Suppose -4*l + 8 = 2*s, -d*s + 20 = -0*s + 4*l. Solve 11 + s = -5*c for c.
-3
Let o(b) = b**3 - 4*b**2 - 3*b - 3. Let k be o(5). Let t = -3 + k. Solve m = t*m + 15 for m.
-5
Let d = 64 + -61. Solve 6*i = d + 3 for i.
1
Let n be (-5)/2*8/(-10). Suppose -f = -n*f + 3. Let m be (-7)/(-3) - 1/f. Solve -b = m*b + 12 for b.
-4
Let l be 3 - (-1)/(1 - 0). Suppose -4*i + 28 = 4*x, -2 = l*i - 6. Solve -x*p = -2*p - 12 for p.
3
Suppose 5*p = 3*p - 16. Let x be -4*(34/p + 3). Solve 29 = x*s + 4 for s.
5
Let t = -70 + 46. Let y = 28 + t. Solve 15 = y*m - m for m.
5
Suppose 8 = -3*w + 26. Suppose -2*p + 12 = 2*o, -5*p = -0*p + 2*o - 21. Suppose w = b + p. Solve 2*c - b*c = 0 for c.
0
Let d(a) = -4*a**2 + 14*a - 20. Let o(b) = -5*b**2 + 14*b - 21. Let z(h) = -4*d(h) + 3*o(h). Let y be z(13). Solve 3*g + y = -2 for g.
-2
Let l = 7 + -5. Suppose 0 = -5*p - 3*n - 12, -p = l*p - 4*n - 16. Suppose 3*t - 2 - 4 = p. Solve -4*f + t = 14 for f.
-3
Suppose 5*a - 2 = -22. Let t be 92/28 + a/14. Solve -1 = w + t for w.
-4
Let i = -41 + 43. Suppose 3*b = -2*x - 0*b, x + 3*b = 0. Let j(d) = d**2 + 3. Let v be j(-3). Solve x = -2*t - i*t - v for t.
-3
Let r(p) = p**2 - p - 2. Let s = 2 - 0. Let q(v) = -v. Let y be q(s). Let i be r(y). Solve 3*j - 8 = i for j.
4
Let i be (1 - 5)*(-1)/2. Solve g + g = i for g.
1
Let q = -8 + 23. Suppose s = -s + 10, 0 = -5*f + 4*s - 20. Let t(j) = j**3 + j**2 + j + 2. Let o be t(f). Solve -3*m + q = o*m for m.
3
Suppose o - 10 = -5*a - 3*o, 0 = a - 4*o - 2. Suppose 3*z = -2*z + 20. Solve 3*q = z*q - a for q.
2
Let q be (0 - -1) + -4 + 9. Solve 1 - q = -t for t.
5
Let t(o) = o + 5. Let l be t(7). Let z be 4 + 0*(-3)/l. Solve -3*w + w + z = 0 for w.
2
Suppose 0 = -12*c + 9*c + 30. Solve -22 = -3*d - c for d.
4
Suppose 0 = -2*l - 4*l + 6. Let t be 3/l + (-13 - -10). Solve t*d + 12 = -3*d for d.
-4
Let k = -59 + 59. Solve d + 2*d = k for d.
0
Suppose 6*z = 2*z. Solve -3*a + 4 + 2 = z for a.
2
Let l be (0/1)/(12/3). Let u = 3 - 1. Solve 0 = -2*z - u - l for z.
-1
Suppose -3 = -l - 3*c, 3*l - 4 = 3*c + 5. Solve -2*m = -5*m - l for m.
-1
Let w(m) = m**3 + 4*m**2 + 3*m + 3. Let k be w(-3). Suppose -b = -k*b. Suppose 2 = x, b*u - x - 8 = -5*u. Solve u*l = -l for l.
0
Let c(y) be the first derivative of y**4/4 + 2*y**3 + y**2 + y + 3. Let m = 1 - 6. Let t be c(m). Solve t - 1 = -5*h for h.
-3
Let i(d) = d**3 + 5*d**2 - 2*d - 7. Let p be i(-5). Solve -p*s - 4 = 2 for s.
-2
Let t be -1 + 1 + (0 - -4). Solve g - t*g = -15 for g.
5
Suppose -3*u + 4*i + 4 = -u, -i = 3*u - 20. Solve -u = -6*n + 3*n for n.
2
Let i(m) = -m**3 - 2*m**2 + 5*m - 2. Let b be i(-4). Solve 0 = 2*r - 0*r - b for r.
5
Let w(n) = n**2 - 3*n - 3. Let i be w(-2). Let j(c) = -c + 10. Let d be j(i). Let x = 1 + -1. Solve d*q + x*q = -12 for q.
-4
Let a = 10 - 0. Suppose 5*g - 2*k + 1 = -1, -2*g + 5*k - 5 = 0. Solve g + a = 5*c for c.
2
Suppose 3*x = -x + 20. Solve -x = -2*c - 1 for c.
2
Suppose i - 4 = -4. Solve 11*c - 16*c + 20 = i for c.
4
Let u(y) = -y**3 + 7*y**2 - 6*y + 3. Let k be (-54)/(-30)*(-20)/(-6). Let o be u(k). Solve 5*l = o*l for l.
0
Suppose -t - 4*d + 17 = -d, -13 = -t - d. Suppose -t - 4 = -5*k. Solve -m - k*m = -4 for m.
1
Let i(v) = -v**3 + 8*v**2 + 2. Let x be i(8). Solve -8 = -2*r - x for r.
3
Let y = -3 - -6. Suppose 20 = -5*s, -j + 2*s + 27 = -y*s. Solve 3*l - j = 5 for l.
4
Suppose v = 4*f + 5, -f - 20 = -6*f - 4*v. Let j = 3 + 1. Solve 4*u - j = -f for u.
1
Suppose -71 = -6*u - 11. Solve -4*d = -6*d - u for d.
-5
Let w(x) = x**2 - 1. Suppose -7 = 5*v - 2. Let u be w(v). Suppose u = -4*g + 1 + 35. Solve 7*z - g = 4*z for z.
3
Suppose 2*y = -0*y + 5*u - 36, 0 = 5*u + 20. Let n be ((-18)/(-12))/((-6)/y). Solve -2*k - 10 = -n*k for k.
2
Let m be (1 - 0)/(2/22). Suppose 4*y = -u - 0*u, 2*u = 3*y + m. Solve -f = -u*f - 9 for f.
-3
Let w(d) = -6*d - 2. Let j be w(-1). Let i(a) = 5*a - 8. Let l be i(j). Solve c = 4*c + l for c.
-4
Let o = 12 - 8. Suppose -6 = -5*c + o*c. Solve k + 2*k - c = 0 for k.
2
Suppose 7 = 3*f - 14. Solve b = f*b + 30 for b.
-5
Suppose -4*i = -6*i + 8. Solve i*f = -3 + 11 for f.
2
Suppose -2*j + 30 = -b + 4*b, 4*b = -4*j + 44. Let g(w) = -w + 10. Let l be g(b). Suppose 0*f + f - l = 0. Solve -y - y - f = 0 for y.
-1
Suppose 0 = 2*o + 5*l - 14, -o + 2 = 2*o - 2*l. Suppose o*k = -k. Solve k = 3*p - 2 - 1 for p.
1
Suppose 5*d + 5 = 3*i + 2*i, -3*i + 2*d + 5 = 0. Solve 2*w + 9 = i for w.
-3
Let n be (-1 + -1 + 1)*-3. Let u(d) = -10*d - 1. Let c be u(2). Let o be (c/15 - -2)*10. Solve o*k = n*k + 9 for k.
3
Suppose -3*q + 8*q = -2*c + 30, -c + 12 = 2*q. Suppose -3*f - 19 = -5*g, -3*g + 19 - q = -f. Let w = f - -1. Solve 0 = 4*s - w*s for s.
0
Let a = -19 + 29. Suppose a = 5*q - 0. Solve 0 = 4*r - q*r + 10 for r.
-5
Let f(d) = d**2 - 7*d + 8. Let l be f(6). Suppose 2*s = 3*s. Let u = 0 + s. Solve u*i - 2 = l*i for i.
-1
Suppose -5*q + 10 = -5*s, 0 = -2*q - 0*q + 5*s - 5. Solve 3*w - q = 2*w for w.
5
Suppose 0 = -3*p + 41 + 34. Suppose -y - 7*m + 3*m - 20 = 0, -5*m = -4*y + p. Solve y*o = -o for o.
0
Suppose 0*r - 4 = -2*r. Let b be (-48)/(-80) + (26/(-10) - -2). Solve b*l = r*l for l.
0
Let v = 47 - 36. Solve -2*a - 5 = -v for a.
3
Let i be (-5 - -7)*6/4. Let h be ((-4)/2 + -2)*-1. Suppose p - i*p = -h. Solve x = p*x + 2 for x.
-2
Let u(m) = -3*m**2 + 8*m**2 + 1 + 2*m - m. Let z be u(-1). Solve 26 = -z*a + 1 for a.
-5
Let k(x) = -x**2 + 5*x + 7. Let w be k(6). Let n = 4 - 2. Suppose -5 = -3*l - 2*p, -l - 2 = n*p - w. Solve -17 - l = -4*d for d.
5
Let g be (28/6 - 4)*3. Solve 0 = -3*z - g*z for z.
0
Let i be ((-5)/(5/(-6)))/(-1). Let g = -6 - i. Solve -x + 2 - 4 = g for x.
-2
Suppose 4*m + m = 85. Suppose m = 5*z - 3. Solve z = j + 9 for j.
-5
Let r = 181 - 179. Solve -c + 15 = r*c for c.
5
Suppose -2 = -4*z + j - 0*j, 4*z + 6 = -3*j. Suppose 4*k - 5*o = 24, -4*o + 3 = -2*k + 15. Let g = 16 - k. Solve -2*w + z = g for w.
-5
Let a = -4 + -2. Let y be 7 + -8 - a/1. Suppose v + y*f + 15 = 0, -4*v - f + 0*f - 3 = 0. Solve 3*p + 6 = -v for p.
-2
Let c be (-4)/2 + 5 + 0. Suppose 5*g = 4*g + c. Solve 2*x = -g*x - 5 for x.
-1
Let f be 2/3 - 120/(-36). Suppose 0 = -5*s - r + 5, f*r - 20 = 3*s + 2*s. Solve -2*c = -s*c for c.
0
Suppose -2*d - 22 = -2*j - 0*d, j = -4*d + 36. Solve 0 = -4*c + 4 + j for c.
5
Suppose s - 5 = 4. Solve 0*k = 3*k - s for k.
3
Let c(n) = -8*n**2 - n - 7. Let s(q) = q**2 + 1. Let y(l) = -3*c(l) - 21*s(l). Let x be y(-2). Let g = x - 5. Solve 0 = -4*r - g - 19 for r.
-5
Let w = -5 - -6. Let h be 0*((-2)/w - -3). Solve 0*f + f = h for f.
0
Let p be ((-2)/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
e sh when two letters picked without replacement from sshsndr.
1/14
What is prob of sequence lk when two letters picked without replacement from klk?
1/3
Calculate prob of sequence ew when two letters picked without replacement from {e: 2, t: 2, w: 2, l: 3}.
1/18
Calculate prob of sequence gg when two letters picked without replacement from {g: 2, q: 1}.
1/3
Three letters picked without replacement from {a: 2, i: 5, q: 12}. What is prob of sequence aii?
20/2907
Calculate prob of sequence ooc when three letters picked without replacement from osaocszaossoa.
1/143
What is prob of sequence if when two letters picked without replacement from eiiifiiii?
7/72
What is prob of sequence vdv when three letters picked without replacement from vvvvvdvvvvvvv?
1/13
Calculate prob of sequence yyrr when four letters picked without replacement from {y: 4, r: 7}.
7/110
Calculate prob of sequence icx when three letters picked without replacement from {h: 1, x: 1, i: 2, k: 2, c: 1, y: 1}.
1/168
Four letters picked without replacement from mvmgmmrv. What is prob of sequence gmvm?
1/70
Two letters picked without replacement from {w: 17, v: 3}. What is prob of sequence vv?
3/190
Calculate prob of sequence lww when three letters picked without replacement from {b: 4, w: 2, q: 1, l: 1}.
1/168
Two letters picked without replacement from {u: 5, s: 7, a: 5, i: 1}. What is prob of sequence us?
35/306
Two letters picked without replacement from {e: 3, l: 6, h: 2, p: 2}. Give prob of sequence he.
1/26
Calculate prob of sequence ft when two letters picked without replacement from {l: 2, y: 2, t: 2, f: 1, k: 1}.
1/28
What is prob of sequence yy when two letters picked without replacement from siysysiysiyssssissy?
10/171
Three letters picked without replacement from {x: 1, q: 7, j: 2, m: 4}. What is prob of sequence mmx?
1/182
Calculate prob of sequence hhcr when four letters picked without replacement from cphrchcpppphp.
3/2860
Calculate prob of sequence xuq when three letters picked without replacement from sxaquuq.
2/105
Calculate prob of sequence kz when two letters picked without replacement from {k: 1, z: 3, q: 1}.
3/20
Calculate prob of sequence uu when two letters picked without replacement from {v: 1, u: 2, j: 2, x: 1}.
1/15
Four letters picked without replacement from {q: 13, b: 5}. Give prob of sequence qqqb.
143/1224
Two letters picked without replacement from {g: 3, n: 13}. Give prob of sequence gg.
1/40
Three letters picked without replacement from nhzzqqnt. Give prob of sequence zzt.
1/168
Calculate prob of sequence wvv when three letters picked without replacement from wvvvvvvwvwvvvvwvwvv.
455/2907
What is prob of sequence ka when two letters picked without replacement from kaaaaakkaa?
7/30
Two letters picked without replacement from {b: 9, r: 11}. Give prob of sequence br.
99/380
Calculate prob of sequence ssyy when four letters picked without replacement from sysyssysssyyyy.
21/286
Four letters picked without replacement from bbmbbbbmmmsqw. What is prob of sequence ssmw?
0
What is prob of sequence ckks when four letters picked without replacement from ksckkkcsss?
2/105
Two letters picked without replacement from sfsfslssllf. What is prob of sequence ls?
3/22
Two letters picked without replacement from {z: 1, r: 3, t: 1, x: 1, h: 6, c: 3}. What is prob of sequence cx?
1/70
Two letters picked without replacement from yzfabzufyfbf. What is prob of sequence by?
1/33
Calculate prob of sequence nnuv when four letters picked without replacement from vuudnnquu.
1/378
Calculate prob of sequence yn when two letters picked without replacement from {v: 2, z: 1, n: 1, d: 5, y: 3, w: 1}.
1/52
Four letters picked without replacement from {b: 16, v: 3, q: 1}. Give prob of sequence vqvb.
4/4845
What is prob of sequence ru when two letters picked without replacement from {u: 11, r: 1, x: 6}?
11/306
Four letters picked without replacement from mwhih. What is prob of sequence mhwh?
1/60
Four letters picked without replacement from hhmoohgghggggoo. What is prob of sequence ggmh?
1/273
Two letters picked without replacement from {u: 1, m: 1, w: 1, n: 2, c: 2, e: 1}. What is prob of sequence me?
1/56
Three letters picked without replacement from {r: 2, t: 1, i: 1, x: 2, d: 5, y: 2}. What is prob of sequence ixt?
1/858
What is prob of sequence bx when two letters picked without replacement from {b: 1, y: 2, a: 3, x: 1, p: 4}?
1/110
Two letters picked without replacement from {m: 1, x: 3}. Give prob of sequence xm.
1/4
Two letters picked without replacement from {z: 3, u: 2, s: 3, t: 2, c: 1, r: 4}. What is prob of sequence tt?
1/105
Two letters picked without replacement from {y: 7, p: 12}. What is prob of sequence py?
14/57
Four letters picked without replacement from fekefekjff. Give prob of sequence kjef.
1/210
Calculate prob of sequence wlll when four letters picked without replacement from {l: 7, w: 2}.
5/36
Three letters picked without replacement from {g: 2, v: 2, p: 2}. What is prob of sequence pgv?
1/15
Four letters picked without replacement from {h: 2, p: 1, z: 1, w: 2, s: 1, o: 1}. What is prob of sequence wwhp?
1/420
Four letters picked without replacement from {k: 1, r: 5, d: 3}. What is prob of sequence rdkr?
5/252
Two letters picked without replacement from buuruuruuuubuurrlub. Give prob of sequence lu.
11/342
Two letters picked without replacement from {c: 10, o: 10}. What is prob of sequence oc?
5/19
Calculate prob of sequence wccd when four letters picked without replacement from dwccccdwdccdcc.
8/429
Four letters picked without replacement from cuuuzuzzuucckfz. Give prob of sequence czcc.
1/1365
Three letters picked without replacement from {l: 1, i: 11, w: 2, z: 5}. What is prob of sequence wlz?
5/2907
Calculate prob of sequence ee when two letters picked without replacement from {e: 2, y: 3, k: 3}.
1/28
Four letters picked without replacement from yaayaaauy. What is prob of sequence uuuy?
0
What is prob of sequence ut when two letters picked without replacement from {t: 8, u: 1, v: 1, a: 9, e: 1}?
2/95
Two letters picked without replacement from agawsga. What is prob of sequence gs?
1/21
Two letters picked without replacement from ljqnebl. Give prob of sequence ll.
1/21
Calculate prob of sequence mafr when four letters picked without replacement from {a: 2, m: 1, j: 1, r: 6, f: 10}.
1/969
What is prob of sequence hxhh when four letters picked without replacement from {x: 6, h: 12}?
11/102
Four letters picked without replacement from mmmff. Give prob of sequence mfmf.
1/10
Four letters picked without replacement from {d: 1, b: 5, y: 4}. What is prob of sequence ydbb?
1/63
Calculate prob of sequence ixxa when four letters picked without replacement from {i: 1, x: 3, a: 7, q: 1}.
7/1980
Four letters picked without replacement from {k: 6, y: 3, s: 6, q: 3}. Give prob of sequence qsqs.
1/408
Three letters picked without replacement from {k: 3, s: 2, g: 2, i: 2, y: 4, w: 3}. Give prob of sequence ykw.
3/280
Calculate prob of sequence sf when two letters picked without replacement from {i: 4, j: 6, s: 2, l: 2, g: 1, f: 2}.
1/68
Two letters picked without replacement from gigigggggigii. Give prob of sequence gi.
10/39
Three letters picked without replacement from {t: 8, k: 1, s: 2, d: 1, x: 2, q: 1}. What is prob of sequence xxk?
1/1365
Four letters picked without replacement from zzzzzvzvvv. What is prob of sequence zzvz?
2/21
Three letters picked without replacement from cmcm. What is prob of sequence mcm?
1/6
Calculate prob of sequence dpw when three letters picked without replacement from {k: 4, w: 1, i: 4, d: 2, p: 8, z: 1}.
2/855
Three letters picked without replacement from {w: 4, t: 2}. What is prob of sequence wtt?
1/15
Calculate prob of sequence uuuu when four letters picked without replacement from {u: 10}.
1
Four letters picked without replacement from hknknznkajnan. Give prob of sequence ajnk.
1/572
Calculate prob of sequence bgr when three letters picked without replacement from {n: 1, y: 2, r: 1, g: 1, s: 1, b: 1}.
1/210
What is prob of sequence ly when two letters picked without replacement from {y: 2, l: 5, b: 7, j: 5}?
5/171
What is prob of sequence ee when two letters picked without replacement from {e: 13, b: 6}?
26/57
Two letters picked withou
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the q'th term of 13, -4, -33, -74, -127, -192?
-6*q**2 + q + 18
What is the q'th term of 43, 39, 35, 31, 27, 23?
-4*q + 47
What is the s'th term of -112, -206, -300, -394, -488, -582?
-94*s - 18
What is the q'th term of -1359, -1361, -1363, -1365?
-2*q - 1357
What is the o'th term of 17, 7, -35, -109, -215, -353, -523?
-16*o**2 + 38*o - 5
What is the i'th term of 4, 18, 40, 70, 108?
4*i**2 + 2*i - 2
What is the w'th term of 64, 188, 312, 436, 560?
124*w - 60
What is the j'th term of -109, -85, -61?
24*j - 133
What is the v'th term of -16, -14, -12, -10, -8?
2*v - 18
What is the d'th term of 20, 108, 254, 458, 720?
29*d**2 + d - 10
What is the k'th term of 1106, 1110, 1116, 1124, 1134, 1146, 1160?
k**2 + k + 1104
What is the g'th term of -2023, -2018, -2013, -2008?
5*g - 2028
What is the h'th term of 12, 8, -8, -42, -100, -188, -312?
-h**3 + 3*h + 10
What is the l'th term of 18, 66, 146, 258, 402, 578?
16*l**2 + 2
What is the q'th term of -220, -226, -242, -274, -328, -410?
-q**3 + q**2 - 2*q - 218
What is the h'th term of -112, -219, -506, -1063, -1980, -3347, -5254, -7791?
-15*h**3 - 2*h - 95
What is the m'th term of 65, 126, 183, 236, 285, 330?
-2*m**2 + 67*m
What is the x'th term of -20, -49, -78, -107?
-29*x + 9
What is the q'th term of 949, 1838, 2713, 3568, 4397?
-q**3 - q**2 + 899*q + 52
What is the r'th term of -639, -631, -623, -615?
8*r - 647
What is the l'th term of -27, -37, -43, -45, -43, -37, -27?
2*l**2 - 16*l - 13
What is the r'th term of 52, 60, 68, 76?
8*r + 44
What is the t'th term of 328, 329, 330, 331, 332?
t + 327
What is the r'th term of -140, -231, -322?
-91*r - 49
What is the l'th term of 184, 384, 586, 790?
l**2 + 197*l - 14
What is the h'th term of 349, 392, 463, 562, 689?
14*h**2 + h + 334
What is the h'th term of 564, 1151, 1750, 2367, 3008, 3679, 4386, 5135?
h**3 + 580*h - 17
What is the o'th term of -82, -85, -92, -103, -118, -137, -160?
-2*o**2 + 3*o - 83
What is the s'th term of 679, 686, 695, 706, 719?
s**2 + 4*s + 674
What is the h'th term of -141, -301, -461, -621?
-160*h + 19
What is the s'th term of 8, 38, 140, 356, 728?
7*s**3 - 6*s**2 - s + 8
What is the a'th term of 17, 41, 79, 131?
7*a**2 + 3*a + 7
What is the l'th term of 809, 803, 793, 779, 761, 739?
-2*l**2 + 811
What is the r'th term of -15, -28, -41, -54, -67, -80?
-13*r - 2
What is the j'th term of 115, 229, 343, 457?
114*j + 1
What is the k'th term of 50, 93, 136, 179, 222?
43*k + 7
What is the n'th term of 42, 83, 152, 249?
14*n**2 - n + 29
What is the v'th term of 3, 27, 75, 153, 267, 423, 627, 885?
v**3 + 6*v**2 - v - 3
What is the r'th term of -2702, -2707, -2714, -2723, -2734, -2747, -2762?
-r**2 - 2*r - 2699
What is the y'th term of 18, 30, 52, 90, 150, 238?
y**3 - y**2 + 8*y + 10
What is the v'th term of -28, -30, -24, -4, 36, 102?
v**3 - 2*v**2 - 3*v - 24
What is the i'th term of 6, 1, -22, -75, -170, -319?
-2*i**3 + 3*i**2 + 5
What is the a'th term of -10, -123, -304, -547, -846, -1195?
a**3 - 40*a**2 + 29
What is the j'th term of -64, -132, -200, -268?
-68*j + 4
What is the x'th term of -558, -1115, -1672?
-557*x - 1
What is the f'th term of -30, -33, -36, -39, -42, -45?
-3*f - 27
What is the z'th term of -155, -157, -161, -167, -175?
-z**2 + z - 155
What is the k'th term of 20, 40, 60, 80, 100, 120?
20*k
What is the f'th term of -136, -137, -138, -139?
-f - 135
What is the z'th term of 14, 19, 34, 65, 118, 199, 314?
z**3 - z**2 + z + 13
What is the o'th term of -64, -99, -146, -211, -300, -419, -574?
-o**3 - 28*o - 35
What is the u'th term of 43, 78, 89, 64, -9, -142, -347, -636?
-2*u**3 + 49*u - 4
What is the y'th term of -98, -186, -260, -314, -342, -338, -296, -210?
y**3 + y**2 - 98*y - 2
What is the m'th term of -52, -108, -194, -304, -432, -572, -718, -864?
m**3 - 21*m**2 - 32
What is the y'th term of 60, 68, 78, 90, 104, 120?
y**2 + 5*y + 54
What is the r'th term of -1, -4, -11, -22?
-2*r**2 + 3*r - 2
What is the z'th term of -12, 39, 128, 273, 492?
3*z**3 + z**2 + 27*z - 43
What is the y'th term of -59, -56, -51, -44?
y**2 - 60
What is the r'th term of 159, 161, 141, 87, -13, -171, -399?
-2*r**3 + r**2 + 13*r + 147
What is the n'th term of 9, 54, 123, 210, 309, 414, 519, 618?
-n**3 + 18*n**2 - 2*n - 6
What is the r'th term of 121, 125, 133, 145, 161?
2*r**2 - 2*r + 121
What is the p'th term of -49, -36, -25, -16, -9, -4, -1?
-p**2 + 16*p - 64
What is the q'th term of 14, 45, 94, 161, 246?
9*q**2 + 4*q + 1
What is the p'th term of 2791, 2794, 2799, 2806, 2815?
p**2 + 2790
What is the u'th term of -1202, -2403, -3614, -4841, -6090?
-u**3 + u**2 - 1197*u - 5
What is the l'th term of -1606, -1602, -1596, -1588, -1578?
l**2 + l - 1608
What is the u'th term of 321, 637, 951, 1263, 1573, 1881, 2187?
-u**2 + 319*u + 3
What is the w'th term of -85, -123, -161?
-38*w - 47
What is the f'th term of -647, -582, -407, -68, 489?
9*f**3 + f**2 - f - 656
What is the l'th term of -44, -94, -146, -200, -256?
-l**2 - 47*l + 4
What is the g'th term of -13, -17, -15, -1, 31, 87, 173?
g**3 - 3*g**2 - 2*g - 9
What is the o'th term of 8, 10, 20, 44, 88, 158?
o**3 - 2*o**2 + o + 8
What is the u'th term of 11, 25, 37, 47, 55, 61?
-u**2 + 17*u - 5
What is the z'th term of -413, -423, -431, -437?
z**2 - 13*z - 401
What is the h'th term of 163, 134, 85, 16, -73, -182?
-10*h**2 + h + 172
What is the b'th term of -64, -81, -132, -235, -408?
-3*b**3 + b**2 + b - 63
What is the q'th term of -208, -402, -586, -760?
5*q**2 - 209*q - 4
What is the f'th term of -31, -36, -45, -58, -75, -96?
-2*f**2 + f - 30
What is the u'th term of -4, -10, -16?
-6*u + 2
What is the b'th term of -17, -8, 9, 34, 67, 108, 157?
4*b**2 - 3*b - 18
What is the y'th term of -33, -121, -269, -477, -745, -1073?
-30*y**2 + 2*y - 5
What is the q'th term of 70, 136, 202?
66*q + 4
What is the d'th term of -2744, -2739, -2720, -2681, -2616?
d**3 + d**2 - 5*d - 2741
What is the t'th term of 1, -1, 5, 25, 65, 131, 229?
t**3 - 2*t**2 - 3*t + 5
What is the f'th term of 379, 763, 1157, 1567, 1999, 2459, 2953?
f**3 - f**2 + 380*f - 1
What is the m'th term of 13215, 13214, 13213?
-m + 13216
What is the b'th term of -308, -288, -268, -248, -228?
20*b - 328
What is the p'th term of 852, 854, 856, 858?
2*p + 850
What is the p'th term of -16, -44, -76, -106, -128?
p**3 - 8*p**2 - 11*p + 2
What is the n'th term of 432, 855, 1270, 1671, 2052, 2407?
-n**3 + 2*n**2 + 424*n + 7
What is the v'th term of -660, -1316, -1974, -2634, -3296, -3960, -4626?
-v**2 - 653*v - 6
What is the c'th term of -101, -82, -59, -38, -25, -26, -47?
-c**3 + 8*c**2 + 2*c - 110
What is the b'th term of -78, -187, -326, -495, -694, -923?
-15*b**2 - 64*b + 1
What is the w'th term of -178, -250, -322, -394, -466?
-72*w - 106
What is the q'th term of 12, 17, 14, 3?
-4*q**2 + 17*q - 1
What is the z'th term of -244, -217, -174, -109, -16, 111, 278?
z**3 + 2*z**2 + 14*z - 261
What is the w'th term of 384, 414, 502, 678, 972?
5*w**3 - w**2 - 2*w + 382
What is the u'th term of -7410, -14825, -22242, -29661, -37082, -44505, -51930?
-u**2 - 7412*u + 3
What is the v'th term of -137, -154, -183, -224, -277, -342?
-6*v**2 + v - 132
What is the j'th term of -15, -23, -29, -33, -35, -35?
j**2 - 11*j - 5
What is the o'th term of 334, 671, 1008, 1345, 1682?
337*o - 3
What is the m'th term of -11, -47, -153, -365, -719?
-6*m**3 + m**2 + 3*m - 9
What is the k'th term of 38, 18, -24, -94, -198, -342, -532, -774?
-k**3 - 5*k**2 + 2*k + 42
What is the w'th term of 267, 525, 795, 1083, 1395?
w**3 + 251*w + 15
What is the p'th term of 13, 31, 57, 91?
4*p**2 + 6*p + 3
What is the r'th term of 95, 97, 99, 101?
2*r + 93
What is the o'th term of 82, 79, 76, 73, 70?
-3*o + 85
What is the g'th term of 183, 413, 645, 879, 1115?
g**2 + 227*g - 45
What is the x'th term of -116, -228, -342, -458, -576?
-x**2 - 109*x - 6
What is the a'th term of 37, 50, 63, 76, 89?
13*a + 24
What is the m'th term of 18, 30, 44, 60, 78, 98?
m**2 + 9*m + 8
What is the m'th term of 102, 104, 102, 90, 62, 12, -66, -178?
-m**3 + 4*m**2 - 3*m + 102
What is the g'th term of -206, -410, -614, -818?
-204*g - 2
What is the t'th term of -1537, -1538, -1539, -1540?
-t - 1536
What is the y'th term of -76, -152, -228, -304, -380?
-76*y
What is the z'th term of -211, -437, -665, -895?
-z**2
|
{
"pile_set_name": "DM Mathematics"
}
|
j - 9. Let n(s) be the first derivative of -s - s**2 + j + s. Let t(u) = 2*u. Determine t(n(p)).
-4*p
Let n(d) = d**2. Let p(x) = 51*x**2 + 5. Calculate n(p(q)).
2601*q**4 + 510*q**2 + 25
Let m(a) = a**2. Let w(g) = -44*g - 17. Let n(l) = 15*l + 6. Let t(z) = -17*n(z) - 6*w(z). Calculate t(m(s)).
9*s**2
Let v(x) = -x. Let u(y) be the third derivative of 5*y**2 + 0 + 0*y + 0*y**3 + 0*y**4 + 1/20*y**5. What is u(v(s))?
3*s**2
Let m(f) = 3*f**2. Let j be (-4)/(-6) + (-4)/(-3). Let d(n) = 4*n - n - j*n. What is d(m(i))?
3*i**2
Let a(q) = 3*q**2. Let m(r) = -r**2. Let g be (-12)/(-10)*5*-1. Let n be 4/(-12) + (-62)/g. Let k(b) = 8*b**2. Let t(w) = n*m(w) + k(w). Determine t(a(u)).
-18*u**4
Let y(h) = 6*h**2. Let l(x) = 9*x. Calculate y(l(c)).
486*c**2
Let q(h) = -98*h - 98. Let c(o) = o**2 - o - 1. Let k(d) = 98*c(d) - q(d). Let x(f) = f. Determine k(x(u)).
98*u**2
Let q(p) = 10*p**2. Let a(x) be the first derivative of -x**3 - 62. Determine a(q(o)).
-300*o**4
Let h(j) be the first derivative of 1/2*j**2 + 0*j + 3. Let y(a) = -14*a**2 - 11*a. Let i(v) = 5*v**2 + 4*v. Let x(o) = 11*i(o) + 4*y(o). Give x(h(n)).
-n**2
Let c(d) = 102*d**2 - d. Let z(o) = -4*o. Determine z(c(w)).
-408*w**2 + 4*w
Let n(s) = 11*s**2. Let m(k) = -49*k**2 + 3. What is n(m(h))?
26411*h**4 - 3234*h**2 + 99
Let x(r) be the first derivative of -2*r**3/3 + 2. Let m(v) be the second derivative of -5*v**4/12 - v. Calculate x(m(i)).
-50*i**4
Let i(h) = -h**2 + 11*h + 11. Let q(k) = 3 + k + 2 - 4. Let w(b) = 2*i(b) - 22*q(b). Let p(r) = 2*r**2 - 6*r**2 - 64 + 64. Determine w(p(n)).
-32*n**4
Let y(w) = w**2. Let d(s) be the second derivative of -s**5/120 + s**3/2 - s. Let t(b) be the second derivative of d(b). Calculate t(y(z)).
-z**2
Let c(f) be the third derivative of -f**6/180 + f**3/2 - f**2. Let u(h) be the first derivative of c(h). Let z(r) = -6*r**2. Calculate u(z(s)).
-72*s**4
Let o(p) = p**2. Let j(t) = -t**2. Let b(l) = 9*j(l) + 4*o(l). Let s(z) = -3*z**2. What is b(s(f))?
-45*f**4
Let o(w) = 25*w**2. Let f(v) be the third derivative of -v**4/12 + 3*v**2. Determine o(f(z)).
100*z**2
Let k(c) = -19*c - 36*c + 17*c. Let f(d) = 2*d. What is k(f(o))?
-76*o
Let r(p) = -p**3 + 6*p**2 + 8*p. Let a be r(7). Let k(v) = -8*v**2 - v**2 + a*v**2. Let z(j) = j**2. What is z(k(g))?
4*g**4
Let p(o) = 11*o**2. Let n(h) = -20*h**2. Let q(a) = 4*n(a) + 7*p(a). Let g(b) = 2*b. What is q(g(t))?
-12*t**2
Let q(n) = 2*n**2. Let v(d) = 2 + 5*d**2 - d - 2*d**2 - d. Let m(y) = -y**2 + y - 1. Let l(a) = -4*m(a) - 2*v(a). What is l(q(c))?
-8*c**4
Let r(z) = 5 + 3*z - 3*z - 2*z. Let j(l) = -6*l + 14. Suppose -4*m + 5*m = -14. Let k(p) = m*r(p) + 5*j(p). Let o(f) = 4*f**2. Give o(k(u)).
16*u**2
Let z(v) = -v + 3. Let o(l) = 2*l - 7. Let s(b) = -3*o(b) - 7*z(b). Let a(d) be the second derivative of d**3/6 + d. Determine a(s(i)).
i
Let m(d) = 2*d. Let j(g) = -g**2 + 840*g. What is j(m(c))?
-4*c**2 + 1680*c
Let m(j) = 5*j. Let q(l) = l**2 - 3. What is q(m(k))?
25*k**2 - 3
Let l(g) be the second derivative of g**4/12 + 38*g. Let v(c) = -2*c. Calculate v(l(x)).
-2*x**2
Let r(q) = -2*q. Suppose -5*f = -6*k + 3*k + 6, -4*k + 8 = 2*f. Let l(h) = -3*h. Let y(m) = 6*m. Let d(o) = k*y(o) + 5*l(o). Determine r(d(s)).
6*s
Let l(i) = 8*i**2 - 14*i. Let o(a) = 5*a. Calculate l(o(d)).
200*d**2 - 70*d
Let u(b) = 5*b**2. Let c(i) = 26*i**2. Calculate c(u(r)).
650*r**4
Let t(u) = -7*u**2. Let y(p) be the second derivative of p**4/6 - 35*p. Calculate y(t(x)).
98*x**4
Let f(a) = -3*a. Let w(t) be the first derivative of 2*t**3/3 + 28. Determine w(f(g)).
18*g**2
Let l(g) be the third derivative of -3*g**2 - 1/60*g**5 + 0*g + 0*g**4 + 0*g**3 + 0. Let n(k) = 3*k. Calculate l(n(f)).
-9*f**2
Let n(r) = 5*r**2. Let v(o) = 89*o + 2. What is v(n(y))?
445*y**2 + 2
Let k = 7 - 1. Suppose k = -4*z + 6*z. Let t(n) = 2*n - 2*n - z*n. Let j(s) = 2*s**2. Determine t(j(o)).
-6*o**2
Let m(l) = 3*l + l - 35 + 32. Let w(r) = -5*r + 2. Let f(i) = 2*m(i) + 3*w(i). Let s(o) = -2*o. What is s(f(b))?
14*b
Let r(z) = -z. Let h(v) be the third derivative of -v**4/2 - 7*v**2. Give r(h(m)).
12*m
Let t(w) = -7*w. Let k(h) = 12*h - h**2 + 16*h - 28*h. Give k(t(i)).
-49*i**2
Let y(t) = -19*t. Let g(v) = 25*v. Give y(g(l)).
-475*l
Let c(z) = -3. Let s(k) = -k**2 + 1. Let g(b) = -2*c(b) - 6*s(b). Let r(l) = -8*l. Calculate g(r(f)).
384*f**2
Let z(s) be the third derivative of s**4/8 + s**2. Let l(h) be the second derivative of h**4/6 + 432*h + 1. What is z(l(p))?
6*p**2
Let h(t) = -14672*t. Let u(d) = -d**2. What is h(u(y))?
14672*y**2
Let w(u) = 2*u + 15. Let d(r) = -16*r**2. Calculate d(w(y)).
-64*y**2 - 960*y - 3600
Let c(g) = g. Let n(f) = 18*f**2 + 14*f. Give n(c(b)).
18*b**2 + 14*b
Let j(k) = -38*k**2. Let s(u) = -u**2. Determine s(j(n)).
-1444*n**4
Let g(m) = 2*m. Let i(n) = 14*n**2 + 3*n - 3. Suppose v + v - 6 = 0. Let q(c) = -15*c**2 - 4*c + 4. Let b(p) = v*q(p) + 4*i(p). Calculate g(b(x)).
22*x**2
Let i(b) = -27*b**2. Let z(l) = -l**2 + 28*l. Give z(i(d)).
-729*d**4 - 756*d**2
Let c(p) be the third derivative of 0*p**3 + 0*p + p**2 + 0 - 1/24*p**4. Let m(t) = -4*t - 2*t + 2*t. Calculate m(c(r)).
4*r
Let h(u) = u. Suppose -5*a - 7 = -2. Let w(l) = 8*l. Let g(s) = a*w(s) + 10*h(s). Let k(i) = -3*i**2. Give k(g(z)).
-12*z**2
Let r(x) = -x + 0*x + 0*x. Let n = -3 - -5. Let h(q) = q**2 + q**2 - 4*q**n. Calculate h(r(k)).
-2*k**2
Let d(t) = 3*t - 14. Let u(f) = 10*f + 6. Determine d(u(r)).
30*r + 4
Suppose x - 3*o = -3, -5*x + 4*o = -3*x + 2. Let n(s) = x*s + 16 - 16. Let i(b) = b**2. Determine i(n(f)).
9*f**2
Let l(z) = -8*z + 0*z + 2*z + 3*z. Let h(s) = 19*s**2. What is l(h(g))?
-57*g**2
Let o(y) = 4*y**2. Let s(f) = -9*f**2 - 7*f. Give s(o(n)).
-144*n**4 - 28*n**2
Suppose 0 = f + 2*f + k - 3, 0 = 2*f + k - 2. Let d(r) = -r - f - 2*r + 1. Let h(x) = x**2. Determine h(d(j)).
9*j**2
Let a(t) = t. Let s(f) = -f**2 + 2*f - 2. Let h(b) = -8*b**2 + 17*b - 17. Let x(o) = 6*h(o) - 51*s(o). Give a(x(r)).
3*r**2
Let d(a) = -5*a**2. Let g(j) = -j**2 - j. Let i(y) = -8*y**2 - 4*y. Let k(u) = 4*g(u) - i(u). Give d(k(x)).
-80*x**4
Let m(a) = -220*a**2. Let x(s) = 2*s. What is m(x(k))?
-880*k**2
Let k(f) = -4*f - 3*f**2 + 4*f. Let m(i) be the first derivative of i**2/2 - 45. Calculate m(k(j)).
-3*j**2
Let y(r) = 1363*r**2. Let v(j) = 15*j. Calculate v(y(m)).
20445*m**2
Let i(s) = 2*s**2. Let y be 2/(-12) + (-75)/(-18). Let k(h) = -y + h**2 + 4. Give i(k(p)).
2*p**4
Let k(v) = -3*v. Let b(m) = -35*m**2 + 67*m**2 - 28*m**2. Calculate b(k(i)).
36*i**2
Let g(u) be the third derivative of -u**5/60 - 23*u**2. Let h(w) = -2*w**2. Give g(h(p)).
-4*p**4
Let y(z) = 27*z**2. Let f(w) = -16*w + 2. Determine y(f(c)).
6912*c**2 - 1728*c + 108
Let d = 56 + -54. Let m(q) be the first derivative of 0*q**d - 1/3*q**3 + 2 + 0*q. Let f(h) = 2*h**2. Give m(f(p)).
-4*p**4
Let i(k) = 7*k**2. Let j(d) = -4526 + 4526 + 9*d. Give j(i(n)).
63*n**2
Let d(n) = -1 - 5 + 5. Let x(h) be the second derivative of -h**3/3 - 5*h**2 + h. Let u(g) = -20*d(g) + 2*x(g). Let t(b) = 2*b. Determine t(u(a)).
-8*a
Let n(j) = 23*j**2. Let w(p) = 10*p - 10*p + p**2 - 4*p**2. What is w(n(u))?
-1587*u**4
Let b = -202 - -303. Let q(x) = -101*x - 8*x**2 + b*x. Let a(f) = -3*f**2. Give q(a(h)).
-72*h**4
Let q(w) = 3*w**2. Let b(f) be the third derivative of 0*f**3 - 6*f**2 + 1/60*f**5 + 0*f + 0*f**4 + 0. Give b(q(v)).
9*v**4
Let s(g) = 2*g. Let w be 12/(3 - -1) + -5 + 2. Let i(u) be the third derivative of 0 - 4*u**2 + w*u**3 + 0*u - 3/8*u**4. What is i(s(o))?
-18*o
Let t(q) = -9*q. Let v(n) = -n. Let l(u) = -t(u) + 5*v(u). Let k(i) = -3*i**2. Determine l(k(b)).
-12*b**2
Let o(p) = p. Suppose -6 = -s + 4*b, 2*b + 0 + 2 = 0. Let q be 1/(-1 - -2) - -1. Let r(m) = 0*m**s + m**2 + 0*m**q. What is o(r(f))?
f**2
Suppose 0 = 4*q - 3*r - 14, 0 = 2*q - r + 6*r - 20. Let d(g) = -2 + 2 + q*g. Let z(c) be the first derivative of c**2/2 - 2. What is d(z(n))?
5*n
Let l(n) = 44*n**2 - 1. Let z(u) = -106*u**2. What is z(l(i))?
-205216*i**4 + 9328*i**2 - 106
Let l(a) be the second derivative of -a**4/12 - a. Let d = -10 + 16. Let w(y) = -d*y + 2*y + 2*y. Calculate w(l(b)).
2*b**2
Let k be 1/5 - (-176)/(-80). Let w(m) = -2. Let c(j) = j - 3. Let l(r) = k*c(r) + 3*w(r). Let p(t) = t - 5*t - 3*t. Determine l(p(y)).
14*y
Let f(k)
|
{
"pile_set_name": "DM Mathematics"
}
|
- 7 - 13. Suppose 42*t - 37*t - 260 = h. Is 9 a factor of t?
False
Does 32 divide 32/6*(33 + 15)?
True
Let y = 1216 - 676. Does 28 divide y?
False
Is 24211/88*2 + 2/(-8) a multiple of 10?
True
Let m = -151 - -223. Let r be m/40 + (-2)/(-10). Suppose 0 = 2*l + r*l - 256. Does 14 divide l?
False
Let s(k) = 2*k + 2. Let f be s(-3). Let v = f - -4. Suppose v = 5*z - 30 - 5. Is z a multiple of 4?
False
Let x = -4104 + 7179. Does 75 divide x?
True
Let k = 805 - 706. Does 3 divide k?
True
Suppose 5*h - 503 - 657 = 0. Does 3 divide h?
False
Let d = 76 + -79. Is (4 - 4) + d + 190 a multiple of 20?
False
Let m = 1161 - -27. Does 11 divide m?
True
Suppose -8*a + 5*a + 15 = 0. Suppose 3*h - a*v + v - 800 = 0, 0 = -h + 3*v + 260. Is h a multiple of 39?
False
Suppose -5*u + 542 = -483. Does 3 divide u?
False
Suppose 5*f - 4*f = 0. Suppose f = 3*a - 6*a + g + 15, a = -g + 5. Suppose 6 = 2*x + 4*s - 10, 4*x + a*s - 41 = 0. Does 14 divide x?
True
Let t = 296 + -177. Let w(g) = -g**3 - g**2 + g + 180. Let s be w(0). Let z = s - t. Is z a multiple of 9?
False
Let p(i) = -i + 2. Let d be p(3). Let c be d*1/((-4)/(-4)). Does 12 divide (-186)/(-9)*(c - -4)?
False
Suppose -b + 167 = s + 3*s, 5*b - 163 = -4*s. Is 24 a factor of s?
False
Is 16 a factor of ((-8)/(-10))/(3*(-6)/(-10305))?
False
Suppose 3*g - 8 = -g. Suppose a + 0*o - 16 = g*o, 0 = a - 3*o - 20. Does 8 divide a?
True
Let m(g) = 31*g**2 - 2*g - 1. Suppose -4*t - 7 - 1 = -4*n, 2*t + 2*n + 8 = 0. Let b be t/9 - 8/12. Does 16 divide m(b)?
True
Let v(o) = o + 13. Let n be v(-6). Let m(j) = -j**3 + 9*j**2 - 12*j + 4. Is m(n) a multiple of 6?
True
Suppose 6*t - t - 25 = 0, -4*s - 3*t = -7. Let a be (s + -1)*(-735)/45. Suppose -5*c = 2*l - a, 0 = l + 2*c + c - 27. Is l a multiple of 12?
True
Suppose 0 = 3*c - 2*c - 42. Suppose -6*u = -78 - c. Is 3 a factor of u?
False
Is 6*(-20)/(-24)*26/1 a multiple of 26?
True
Suppose -83*j + 1400 = -78*j. Does 35 divide j?
True
Let c(l) = -l**2 - 4*l + 1. Let h be c(-5). Suppose 5*n - 4*f = 14, -4*n + 3*f = -5*n - 1. Is 25 a factor of n*(22 - h/(-2))?
False
Suppose -3*j + 13 = 25, 5*j = -o + 292. Is o a multiple of 2?
True
Suppose -805 = -2*x - 3*x. Suppose 3*w = 4*w + d - x, 3*d + 157 = w. Is 40 a factor of w?
True
Let r = 250 - 93. Does 14 divide r?
False
Let l be (-27)/6*-8*93/18. Let z = l + -132. Is 7 a factor of z?
False
Suppose 2014 = 3*w + 5*s, 3*w - 3*s = -s + 1979. Does 7 divide w?
False
Let m be 9/6*180/27. Let a(k) = k**3 - 7*k**2 - 23*k - 4. Is 11 a factor of a(m)?
True
Let r(g) = -2*g**2 - 2*g**2 - 1 + 6*g**2 - g - 1. Is 2 a factor of r(-2)?
True
Let l be (-6 + -126)/(-1)*(-2)/(-4). Let d = 76 - l. Is d even?
True
Let a be 14/(-21) + (-2)/(-3). Let f be 1 - 1 - (5 - 5). Suppose -4*u + f*u + 184 = a. Is u a multiple of 15?
False
Let z(l) = 6*l + 2. Let r(i) = -13*i - 5. Let n(o) = -2*r(o) - 5*z(o). Let s be n(-1). Suppose -32 = -0*x - s*x. Is x a multiple of 4?
True
Let d be -1 - -1 - (-3 - (-28)/1). Suppose 48 = 2*k - k - 3*o, 16 = -4*o. Let f = k + d. Is f a multiple of 7?
False
Let l(u) = -4*u**2 + 4*u**2 - 5 - 10*u + u**2 + 24. Let g be l(8). Suppose g*w - 126 - 60 = 0. Does 31 divide w?
True
Let o(u) = -u**2 - 2*u + 98. Let m be o(0). Suppose y + 4 = 3*y, 0 = -v + y + m. Does 8 divide v?
False
Let d = -32 + 33. Is 30 a factor of 137 + (4 - d)/(-6)*0?
False
Let f(l) = 2*l**3 - 2*l**2 + 10. Let d be f(0). Suppose d*u = 5*u + 1140. Does 38 divide u?
True
Let f be 2*((-3)/(-2))/3. Does 6 divide -2*((-50)/4 + f)?
False
Let l = -7 - -15. Suppose l*f + 198 = 2*q + 3*f, 2*f + 204 = 2*q. Is 17 a factor of q?
False
Let u be (-2)/(-7) - 1012/14. Let n be 4 + 102 + (-3 - -1). Let s = u + n. Is 15 a factor of s?
False
Let b(u) = -u**3 + 5*u**2 + u + 12. Let j be 3 + 3/3 + 1. Does 8 divide b(j)?
False
Suppose 0 = s - 110 - 27. Suppose 62 = w + 5*x - 73, s = w + 3*x. Does 14 divide w?
True
Let h(i) = 8*i - 79. Is h(15) even?
False
Let b(r) = r**3 - 12*r**2 + 4. Let f be b(12). Suppose f*w + 2*w - 108 = 0. Is w a multiple of 12?
False
Let b(t) = t + 10 + 0*t + 17 + 6. Does 4 divide b(-13)?
True
Let z(i) = -2*i - 2. Let b(y) = -y**2 + 4*y + 2. Let x be b(5). Let s be z(x). Suppose s*q - 16 = 8. Is q a multiple of 3?
True
Let p(w) = w + 81. Is 24 a factor of p(15)?
True
Suppose -4*z - 46*i = -42*i - 104, -100 = -4*z - 2*i. Does 2 divide z?
True
Is (-6)/(-45) + (-1872024)/(-495) a multiple of 8?
False
Suppose -20 = 3*k - 539. Suppose -4*o + k = -23. Is o a multiple of 5?
False
Suppose 4*x = 2*f + 6*x - 16, 3*f - x - 12 = 0. Suppose 406 = f*w - 2*v + 43, -4*v = -2*w + 142. Is w a multiple of 16?
False
Let j = -21 - -24. Let p = 2 + j. Is 2 a factor of p?
False
Suppose 0 = i + 4 + 6. Let a be 5/i - 2/4. Let d(r) = 15*r**2 + r. Does 3 divide d(a)?
False
Let p = -234 + 1284. Does 75 divide p?
True
Let r(v) = 5*v + 6. Let u = 14 - 14. Suppose u = 3*y - 1 - 8. Does 4 divide r(y)?
False
Is 744/(-16)*(0 + 564/(-9)) a multiple of 29?
False
Suppose 4*a - 7*a + 6 = 0, 2*x = -5*a + 1018. Is x a multiple of 12?
True
Let s(t) = 18*t**2 + 11*t - 25. Let h be -95*(-9)/225 + 4/(-5). Is 17 a factor of s(h)?
True
Let r(x) = -x**2 + 12*x - 11. Let l(o) = -o**2 + 12*o - 2. Let d be l(11). Let b be r(d). Let s = b - -31. Is s a multiple of 20?
False
Suppose -693 = 95*i - 98*i. Does 6 divide (-5)/10 - i/(-6)?
False
Let j(q) = 4*q - 2*q + 2*q - 3*q + 14. Let w be j(-13). Suppose 0 = -a + 8 + w. Does 3 divide a?
True
Suppose 10*o - 96528 = -14*o. Does 15 divide o?
False
Suppose -2*j - 4*u + 16 = 0, 2*j + 3*u - 2*u = 16. Suppose -144 = -127*k + 118*k. Let h = k - j. Is 4 a factor of h?
True
Let m = -6 - -1455. Does 34 divide m?
False
Suppose 5*n - 376 = 3*n + m, 575 = 3*n + 4*m. Let r = n - -43. Is r a multiple of 29?
True
Let z(q) = 41*q + 102. Is 9 a factor of z(3)?
True
Let f(z) = 234*z - 528. Does 17 divide f(4)?
True
Let l be 33/(-6)*-26*(-6 + 5). Let c = -107 - l. Is c even?
True
Let o(f) = f**2 + 2. Let a be o(0). Suppose -3*m + 18 = -a*d, 2*m - 17 = -0*d + 3*d. Does 14 divide (-4)/((-46)/14 - d)?
True
Let v(b) = b**3 - 4*b**2 - 2*b + 1506. Is 70 a factor of v(0)?
False
Let j be (61/6)/(6/36). Let o = j + -21. Let x = o - 25. Is 2 a factor of x?
False
Suppose -4 = -5*h + 6. Suppose 5*r - 50 = 5*q, -2*r + r + h*q = -12. Is r even?
True
Let t(f) = 63*f + 3. Suppose 2*s - 4 = -2*z, -3*s - 5 + 3 = -5*z. Is 38 a factor of t(z)?
False
Let s(z) = z**2 + 9*z + 3. Let l be s(-9). Suppose -k - l = -1. Does 3 divide 2/(-1) + 13 + k?
True
Let f(l) = -l**2 - 9*l + 9. Let n be f(-8). Let o = -17 + n. Suppose -j - 1 + 3 = o. Is 2 a factor of j?
True
Let z(x) = -37*x**2 - 2*x - 2. Let k be z(-1). Let c = k - -66. Does 17 divide c?
False
Is ((-1377)/6)/(-9)*(-500)/(-15) a multiple of 20?
False
Let g(z) = z**2 - 3*z + 12. Let v be g(-7). Suppose v*w - 720 = 77*w. Does 36 divide w?
True
Suppose -4*c + 2*c = -l - 18, 0 = 5*l + 10. Is 8 a factor of c?
True
Let f(p) = p**3 + p**2 - p - 79. Let y be f(0). Let z = -54 - y. Suppose -3*u + 0*s + 13 = -2*s, 5*s = -4*u + z. Is 2 a factor of u?
False
Suppose d - 391 = -w, 3*w + 5*d - 1293 = -126. Is w a multiple of 24?
False
Let h(i) = 2*i**2 + 2*i - 2. Let l be (-7 - -6) + (0 - 1). Let p be h(l). Suppose 130 = 3*q + p*q. Is q a multiple of 12?
False
Suppose 4*m - 3514 = -5*t, 23*m - 27*m = -5*t + 3506. Is 26 a factor of t?
True
Let h(d) = -d. Let l(n) = n**2 - 28*n + 6. Let z(j) = -5*h(j) + l(j). Is 19 a factor of z(27)?
True
Let n(y) be the first derivative of y**2 + 11*y - 1. Let m be (4/(-12))/((-8)/120). Does 9 divide n(m)?
False
Let t(a) = 3*a**2 - 3*a + 1. Let d be t(2). Let s = 12 - d. Does 13 divide (-105)/(-3) - s/5?
False
Let v be (20/15)/((-4)/6). Let i be (-196)/(-8) - 1/v. Is 5/(i/2)*105 a multiple of 14?
True
Suppose 4*r + 1290 = 9*r. Let t = r + -112. Is t a multiple of 50?
False
Does 16 divide (-3227 + -4 - (-1 - -2))/(-2)?
True
Let y(x) = -x**3 + 7*x**2 + 3. Let d be y(7). Suppose 0*n - 6 = -d*n. Is 18 a factor of 15/n*8/3?
False
Is 25927/33 - 2/(-6) a multiple of 25?
False
Does 41 divide 5 + 368/(-80) + 308/5?
False
Does 35 divide 290/(154/49 - 3)?
True
Let h = 68 - 72. Let i be 2/(-8) + 324/16. Is (i/(-16))/(1/h) a multiple of 2?
False
Suppose 5*t = -4*q + 14 + 143, t = -4*q + 137. Is 4 a factor of q?
False
Let i(q) = -4*q**3 - 3*q**2 - 10*q - 3. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
1366*c + 4
Let l(d) = -4*d**2. Let v(z) = -z + 1. Let n be v(-7). Let i(o) = 8 - n + o. Calculate l(i(s)).
-4*s**2
Let i(z) = -8*z**2. Let t(k) = -2*k**2. Give i(t(r)).
-32*r**4
Let u be -3 - (-9)/2*2. Let v(a) = a - 8*a + u*a. Let c(f) = -6*f**2. Determine v(c(k)).
6*k**2
Let h(q) = 72649*q**2. Let i(d) = d**2. Give h(i(u)).
72649*u**4
Let m(f) = f**2 - f. Let l be m(2). Let w(i) = 5*i - 5*i - i**l. Let s(a) = 2*a. What is w(s(k))?
-4*k**2
Let a(f) = 4*f**2. Let y(t) = -22*t + 17*t - 1 + 1. Calculate y(a(s)).
-20*s**2
Let n(k) = -k**2. Let p(x) = 7*x**2. Determine p(n(y)).
7*y**4
Let g(z) = -13*z**2. Let x(y) = 7*y**2. Determine g(x(t)).
-637*t**4
Let x(o) = -84*o**2. Let v(n) = -n**2. What is v(x(r))?
-7056*r**4
Let o(j) = -j**2 - 5*j. Let z(n) = -4*n. Give z(o(f)).
4*f**2 + 20*f
Let p(n) be the first derivative of 17*n**5/60 + 3*n**2 + 6. Let j(q) be the second derivative of p(q). Let w(z) = -z**2. Give w(j(k)).
-289*k**4
Let a(w) = -2*w. Suppose l = 2*l. Suppose s = -l*s. Let t(u) = -3*u**2 + 6*u**2 + s*u**2. Give a(t(y)).
-6*y**2
Let v(o) = -3*o. Let q(y) = -1 - 13*y**2 + 0 + 1. Give q(v(j)).
-117*j**2
Let y(k) = 7*k - 6. Let b = -15 - -21. Let n(u) = 6*u - 5. Let w(z) = b*n(z) - 5*y(z). Let r(x) = -x**2. Calculate r(w(t)).
-t**2
Let m(w) = -w**2. Let v(b) = 3*b**2 - 248*b - 3. Give v(m(l)).
3*l**4 + 248*l**2 - 3
Let r(i) = 2*i**2. Let w(b) = 6*b - 91*b - 11*b. Calculate w(r(z)).
-192*z**2
Let q(j) = 2*j**2. Let t(n) be the second derivative of 13*n**3/3 + 6*n. Determine q(t(z)).
1352*z**2
Let a(c) = 6*c**2. Let q = -5 - -7. Let b(d) = 9*d**2 - 6*d**q - d**2. Determine b(a(w)).
72*w**4
Let r(m) = -m**2. Let t(y) = -68*y + 17. Let w(z) = 23*z - 6. Let n(u) = 4*t(u) + 11*w(u). What is n(r(c))?
19*c**2 + 2
Let v(d) = -d**2. Let q(o) = -4378*o. Calculate q(v(x)).
4378*x**2
Let c(b) = b. Let v(g) = -10*g + 67. What is v(c(x))?
-10*x + 67
Let f(b) be the third derivative of 13*b**5/60 + 30*b**2. Let k(d) = -7*d**2. Give k(f(t)).
-1183*t**4
Let s(y) = -30976*y. Let l(d) = -2*d**2. Give s(l(h)).
61952*h**2
Let u(y) = 13*y. Let f(j) = j + 7. Let d be f(-3). Let w(p) = 6*p. Let g(o) = d*u(o) - 9*w(o). Let t(m) = m**2. What is g(t(q))?
-2*q**2
Let x(v) = -v**2. Let m(u) = 73*u. What is x(m(r))?
-5329*r**2
Let i(x) = -13*x**2. Let h(m) = -170*m. What is i(h(o))?
-375700*o**2
Let v(z) be the third derivative of -z**4/3 + 6*z**2. Let y(p) = 4*p. Give y(v(a)).
-32*a
Let h(t) = -8*t**2. Let d(r) = 26*r + 1. Give h(d(u)).
-5408*u**2 - 416*u - 8
Let q(g) = -g**2 + 41. Let y(x) = x**2. Determine y(q(r)).
r**4 - 82*r**2 + 1681
Let b(t) = -2*t**2. Let j(a) = -40*a**2 + 108*a. Give j(b(w)).
-160*w**4 - 216*w**2
Let b(h) = h**2. Let q(m) = -4*m**2 + 36*m. Give b(q(o)).
16*o**4 - 288*o**3 + 1296*o**2
Let r(u) be the third derivative of u**6/60 - u**3/2 - 5*u**2. Let l(m) be the first derivative of r(m). Let w(p) = 2*p**2. Give l(w(x)).
24*x**4
Let b(m) = -13*m**2. Let h(v) be the second derivative of 1/3*v**3 + 7*v + 0 + 0*v**2. Determine h(b(a)).
-26*a**2
Let g(x) = -4*x**2 - 102. Let q(t) = 2*t**2. What is g(q(n))?
-16*n**4 - 102
Let t(j) = -j. Let f(n) = -10*n**2. Give f(t(p)).
-10*p**2
Let r(l) = 22*l. Let d(g) = 18*g**2 + 3. Determine r(d(u)).
396*u**2 + 66
Let i(l) = 11*l**2. Let q(a) be the second derivative of a**3/6 - 29*a. Determine i(q(m)).
11*m**2
Let f(z) = -7*z + 5. Let n(q) = 6*q - 4. Suppose 0 = g + 8 - 4. Suppose -t = -6*t - 25. Let u(p) = g*f(p) + t*n(p). Let y(h) = -4*h**2. Give u(y(m)).
8*m**2
Let b(r) = -19*r. Let g(i) = 96*i. Let m(z) = -11*b(z) - 2*g(z). Let q(d) = -d**2. Give m(q(v)).
-17*v**2
Let i(r) = 7*r**2. Let k(c) = 0*c + 2*c - 3*c - 2*c. Calculate k(i(g)).
-21*g**2
Let y(r) = -2*r - 3. Let d(o) = 3. Let t(i) = -3*d(i) - 3*y(i). Let a(v) = -4 + 4 - v**2. Determine t(a(h)).
-6*h**2
Let c(t) = 7*t**2 + 6. Let b(i) = -8*i**2 - 7. Let w(k) = 6*b(k) + 7*c(k). Let s(o) = 9*o. Give s(w(h)).
9*h**2
Let x(a) be the second derivative of a**3/6 - a. Let f(y) = -9*y + 19*y - 3*y. Give f(x(k)).
7*k
Let t = 1 + 0. Let s(r) = -4*r + 1 + 3*r - t. Let w(g) = g. What is w(s(y))?
-y
Let j(m) = -2*m**2. Let d(n) = n**2 - 174*n. What is d(j(o))?
4*o**4 + 348*o**2
Let l(w) = 35 - 3*w**2 - 35. Suppose -k + 5*a - 23 = 0, -3*a + a + 12 = k. Let t(f) = -10 + 10 + k*f. Determine l(t(q)).
-12*q**2
Let m(z) = 14*z. Let t(n) = 8*n. What is m(t(j))?
112*j
Let a(v) = -2*v**2 - 84*v. Let r(c) = -2*c**2. Calculate a(r(x)).
-8*x**4 + 168*x**2
Let n(b) = -2*b**2. Suppose 0*v + 2*v + 9 = -3*x, 4*v - 27 = 3*x. Let h(q) be the first derivative of -3 + 4*q - 4*q + q**v + 6. What is h(n(g))?
12*g**4
Suppose 6 = 3*v - v. Let d(t) = -v*t + 4*t - t + 2*t**2. Let j(p) = -2*p**2. What is j(d(n))?
-8*n**4
Let f(d) = 5*d**2 + 6*d + 6. Let v(o) = 6*o**2 + 7*o + 7. Let t(p) = 7*f(p) - 6*v(p). Let c(x) = -4*x. Determine t(c(s)).
-16*s**2
Let c(p) = 9*p + 7*p - 2 - 9. Let w(u) = -6 + 3*u - 2 + 6. Let v(n) = -2*c(n) + 11*w(n). Let i(l) = 3*l**2. Calculate i(v(x)).
3*x**2
Let v(a) = 29*a. Let n(w) be the third derivative of -w**4/24 - 15*w**2. What is v(n(b))?
-29*b
Let i(c) = 2 - 2 - c. Let y(f) = -f + 7. Let r(k) = -k + 5. Suppose 21 = 5*j - 4. Let v(a) = j*y(a) - 7*r(a). Determine v(i(b)).
-2*b
Let x(t) = 2246*t. Let n(l) = -l. What is n(x(p))?
-2246*p
Let z(u) = -4*u**2. Let w(n) = 96*n**2. Calculate w(z(c)).
1536*c**4
Let n(x) = -4. Let y(q) = q + 4. Let i(l) = -4*n(l) - 5*y(l). Let o(h) = -30*h - 25. Let z(a) = 25*i(a) - 4*o(a). Let j(d) = -2*d. Calculate j(z(m)).
10*m
Let r(z) be the third derivative of 7*z**6/360 - z**3/2 + 2*z**2. Let w(k) be the first derivative of r(k). Let j(a) = -2*a. Give w(j(x)).
28*x**2
Suppose -4*w + 12 = 4. Let i(p) = -8*p - w*p**2 + 8*p. Let o(f) = 0*f + f + f - f. Calculate o(i(n)).
-2*n**2
Let v(s) = -2*s. Let o = -9 + 11. Let p(l) = 5*l**2 - 2*l**o + 0*l**2 - l**2. What is v(p(y))?
-4*y**2
Let a(p) = -p. Let n(m) = -m**3 + m - 4. Let u be n(0). Let w = u - -7. Let f(t) = -w*t - 2*t**2 + 3*t. Determine f(a(g)).
-2*g**2
Let p(i) = 0*i + 11*i + 20*i**2 - 11*i. Let n(c) = 3*c. Calculate n(p(s)).
60*s**2
Suppose 7*u - 2*u = 5. Let h(b) = u - 1 + b**2. Let q(v) = v. Give h(q(a)).
a**2
Suppose -7 = -2*p - o, -4*o = -5*p - 2 - 0. Let m(n) = 0*n - p*n - n - n. Let x(t) = -2*t. What is m(x(s))?
8*s
Let n(m) = 2*m - 4. Let t(g) = g - 3. Let j(v) = 3*n(v) - 4*t(v). Let p(o) = 5*o**2. Calculate j(p(r)).
10*r**2
Let j(a) = -a**2 + a. Let s(k) = -k**2 + 2*k. Let n(l) = 2*j(l) - s(l). Let v(w) = -w - 2. Let z(d) = 1. Let f(o) = -v(o) - 2*z(o). What is f(n(t))?
-t**2
Let a(u) = -22*u**2 + 11*u - 11. Let h(l) = 7*l**2 - 4*l + 4. Let m(n) = 4*a(n) + 11*h(n). Let v(c) = -2*c**2. What is v(m(g))?
-242*g**4
Let u(k) = 0*k**2 + 8*k**2 - 5*k**2. Let i(w) = 2*w. What is i(u(z))?
6*z**2
Let q(f) = -13*f - 11*f + 26*f. Let b(o) = -o. Give q(b(s)).
-2*s
Let c(b) = 7*b - 3. Let x(r) = 15*r - 5. Let i(a) = -5*c(a) + 3*x(a). Let u(h) = 4*h. Give u(i(q)).
40*q
Let s(a) = -18*a + 4*a + 9*a. Let c(k) = -5*k**2. What is c(s(q))?
-125*q**2
Let k be 3*((-96)/9)/(-4). Let q(o) = -5 + k - 3 - o**2. Let v(x) = -x - 1. Let h(n) = -6*n - 5. Let z(d) = h(d) - 5*v(d). What is z(q(i))?
i**2
Let y(o) = o. Let b(h) = 77520*h**2. Give y(b(r)).
77520*r**2
Let c(m) = 1063*m. Let n(k) = -2*k. Determine n(c(s)).
-2126*s
Let l(j) = -2*j + 1. Let q(g) = -g**2. Give l(q(n)).
2*n**2 + 1
Let p(y) = 4*y**2. Let b(x) be the first derivative of -x**4/12 - 3*x**2/2 + 1. Let r(a) be the second derivative of b(a). Determine p(r(t)).
16*t**2
Let k(m) = -33 + 15 + 18 + 2*m. Let q(r) = -2*r. What is q(k(g))?
-4*g
Let s(q) = 8*q**2. Let y(v) = 169*v + 4. Determine y(s(j)).
1352*j**2 + 4
Let n(f) = 2*f**2 + 3*f. Let b(s) = -42*s. Determine n(b(r)).
3528*r**2 - 126*r
Let n(p) = 2*p**2. Let y = -15 - -22. Suppose 2*s - y = 1. Let r(k) = -4*k + 6*k - s*k + k. Calculate r(n(f)).
-2*f**2
Let j be (-1 + -6)*(-12)/14. Let b = j + -2. Let k(i) = i - i - b*i. Let o(w) = w**2. What is o(k(s))?
16*s**2
Let g(u) = -2*u**2 - 1 + 3 - 2. Let l(x) be the third derivative of x**5/60 + 3*x**2. Give g(l(c)).
-2*c**4
Let b(h) = 60*h. Let i(p) = 4*p. Calculate i(b(w)).
240*w
Let i(l) = -105*l**2 - 11*l - 26*l**2 + 11*l. Let v(o) = o**2. Determine v(i(c)).
17161*c**4
Let m(b) be the third derivative of -83*b**5/60 - 5*b**2. Let u
|
{
"pile_set_name": "DM Mathematics"
}
|
- 30*z - 12 + 46. Give -50*f(j) - 2*i(j).
10*j
Suppose 17 + 28 = 5*c. Suppose -8*r = -23 - c. Let n(p) = -3*p - 1. Let o(l) = 2*l + 1. Calculate r*n(g) + 5*o(g).
-2*g + 1
Let a(j) = -133*j**3 - 2*j**2 - 6*j + 9. Let l(s) = 134*s**3 + 2*s**2 + 7*s - 11. What is 6*a(p) + 5*l(p)?
-128*p**3 - 2*p**2 - p - 1
Let f(j) = 23*j**2 - 15*j - 3. Let q(r) = 11*r**2 - 7*r - 1. Determine 6*f(z) - 13*q(z).
-5*z**2 + z - 5
Let l = 35 - 16. Suppose -6 = 2*x - 3*u, x + 0*x = -4*u + l. Let q(v) = -v**3 + 2*v**2 + 2*v. Suppose -2*p - 5 = 7. Let d(g) = g**2 + g. Give p*d(a) + x*q(a).
-3*a**3
Let u(d) = 8*d - 1. Suppose 0 = -3*g - 2*a + 11, -39 = 19*g - 21*g + 5*a. Let s(h) = 7*h - 1. Determine g*s(t) - 6*u(t).
t - 1
Let v(u) = -4*u - 1. Let p(k) = k. Let c(o) = -o**3 + 9*o**2 - 16*o + 70. Let m be c(8). What is m*p(d) + 3*v(d)?
-6*d - 3
Let n(u) = u**3 + u**2 + u. Let i(m) be the first derivative of -2*m + 0*m**3 + m**2 + 1/4*m**4 - 10. Determine -i(p) + 2*n(p).
p**3 + 2*p**2 + 2
Let c(v) = 16*v**2 + 1 - v - 16*v**2 + 3 - v**2. Let n(j) = j**2 + j - 3. What is -3*c(q) - 4*n(q)?
-q**2 - q
Let c(k) be the first derivative of k**2/2 + k + 1. Let n(z) = -16*z - 27. Let r(p) = 3*p + 5. Let f(d) = 6*n(d) + 33*r(d). Calculate 5*c(q) - f(q).
2*q + 2
Let k(a) = a**2 + a. Let c(b) = -3*b**2 + 10*b - 1. Let o(t) = c(t) - 6*k(t). Let s(m) = 14*m**2 - 6*m + 2. Determine 8*o(v) + 5*s(v).
-2*v**2 + 2*v + 2
Let s(f) = 6*f + 46. Let i be 1*(-23 - -16) - 58/(-2). Let m(y) = -y - 9. Calculate i*m(q) + 4*s(q).
2*q - 14
Let o(b) = -2*b - 9 + 9 - b**3 - 2*b**2. Let f = -2 + -5. Let v be f/(-35) - 16/5. Let h(g) = -g**3 - 3*g**2 - 3*g. What is v*o(a) + 2*h(a)?
a**3
Let o(x) = 50*x - 5. Let k(t) = 147*t - 14. Give 3*k(p) - 8*o(p).
41*p - 2
Suppose 6 = -15*i + 13*i. Let o(w) = -w**3 + 3*w**2. Let c be (-198)/45 + 4/10. Let y(b) = 2*b**3 - 4*b**2. Calculate c*o(q) + i*y(q).
-2*q**3
Let y(k) = 175*k + 4. Let g(i) = 175*i + 5. Determine 2*g(l) - 3*y(l).
-175*l - 2
Let x(s) = 24*s - 33. Let w(p) be the first derivative of 3/2*p**2 - 4*p + 35. Give 33*w(d) - 4*x(d).
3*d
Let d(f) = 4*f + 1. Let o be d(1). Let l(t) = -4 - 4 + 6 - 3 + 4*t. Let w(a) = -7*a + 9. Let i = 4 + -1. What is i*w(x) + o*l(x)?
-x + 2
Let c(r) = -8*r**2 + r + 7. Let h(x) = -23*x**2 + 3*x + 20. Suppose -2*g + 2*b - 28 = -6, 27 = -2*g + 3*b. What is g*h(z) + 17*c(z)?
2*z**2 - z - 1
Let x be -7 - ((-3)/1 - -6). Let q = x + 18. Suppose 9*c = q*c + 3. Let l(j) = -14*j**2 + 5*j - 8. Let z(b) = -5*b**2 + 2*b - 3. Calculate c*l(o) - 8*z(o).
-2*o**2 - o
Suppose 2*y - b - 26 = -2*y, 4*y - 14 = -5*b. Let k(u) be the second derivative of 2*u**2 + u + 0 + 7/6*u**3. Let j(s) = -13*s - 7. What is y*j(i) + 11*k(i)?
-i + 2
Let u(w) = -4*w - 4. Let h(d) = 6 + d + 10 - 11 - 4. Determine 6*h(o) + u(o).
2*o + 2
Let s(d) = 214*d**2 - 24*d - 6. Let z(a) = 106*a**2 - 10*a - 3. Determine -2*s(f) + 5*z(f).
102*f**2 - 2*f - 3
Let n(o) = o**2 - o - 1. Let w(q) = -10*q**2 + 20*q + 15. Let p(y) = 7*y**2 - 13*y - 10. Let t(g) = 8*p(g) + 5*w(g). Give -5*n(a) + t(a).
a**2 + a
Let s(x) = -x. Let p(a) = 9 - 11 - 15*a + 2 - 2. Calculate -p(y) - 4*s(y).
19*y + 2
Let y(t) = t**2 - 3*t - 1. Let z(r) = -2*r**2 - 2*r - 1. Give -y(a) + 4*z(a).
-9*a**2 - 5*a - 3
Let z(s) = 20*s**3 + 39*s**2 + 9*s + 2. Let p(j) = 9*j**3 + 19*j**2 + 4*j + 1. Give 9*p(k) - 4*z(k).
k**3 + 15*k**2 + 1
Let q(r) = 3*r**3 - 2*r**2 - 4*r + 9. Let x(s) = s**2 - s - 2. Let g(f) = f**3 + f**2 - 4*f. Let d(p) = -g(p) + 2*x(p). Calculate -9*d(i) - 4*q(i).
-3*i**3 - i**2 - 2*i
Let z(a) = -85*a**2 + 3. Let h(r) = 2977*r**2 - 104. Determine -3*h(m) - 104*z(m).
-91*m**2
Let m(r) = 20*r**3 - 8*r**2 + 6*r - 4. Let s(g) = -17*g**3 + 7*g**2 - 5*g + 3. Determine -5*m(h) - 6*s(h).
2*h**3 - 2*h**2 + 2
Let j(x) = -x**3 - 5*x**2 - 4*x - 2. Let r(o) = -o**2 - 2*o. Give -2*j(c) + 4*r(c).
2*c**3 + 6*c**2 + 4
Let f(h) = h**3 + 2*h + 4. Let z = 109 + -111. Let d(p) = 4*p**3 + 11*p + 21. Determine z*d(k) + 11*f(k).
3*k**3 + 2
Let q(c) = 13*c**3 - 7*c**2 - 7*c + 7. Let k(j) = -13*j**3 + 6*j**2 + 6*j - 6. Suppose -257*i + 24 = -261*i. What is i*q(r) - 7*k(r)?
13*r**3
Let p(m) = 2*m**2 - 11*m - 6. Let q(w) = 15 + 2*w**2 - 3*w**2 - 4*w - 17 + 2*w**2. Give -4*p(u) + 11*q(u).
3*u**2 + 2
Let l(m) = -4*m**3 + 16*m**2 + 5. Let r(k) = -3*k**3 + 15*k**2 + 4. Let p = 510 + -514. What is p*l(a) + 5*r(a)?
a**3 + 11*a**2
Let r(n) = 88*n**3 + 3*n**2 - 3*n + 3. Let m(s) = 2465*s**3 + 85*s**2 - 85*s + 85. Determine 3*m(a) - 85*r(a).
-85*a**3
Let h(d) = 9*d + 4. Suppose 30*p = 29*p + 6. Let t(s) = -1 - 21*s - p + 4*s. Give 11*h(x) + 6*t(x).
-3*x + 2
Let i(q) = q**2 - q. Let f(j) = j**3 - 18*j**2 + 14*j + 49. Let h be f(17). Let t(k) = 2*k**2 + k. What is h*t(x) - 2*i(x)?
-6*x**2
Let v(b) = -b + 3. Let m(i) = -2*i + 5. Suppose -4*z = -8*z + 8. Let f be z/(((-24)/(-14))/(-6)). Give f*v(r) + 4*m(r).
-r - 1
Let s(h) = 9*h + 72. Let j(n) = -11*n - 73. What is 4*j(y) + 5*s(y)?
y + 68
Let s(f) = -16*f - 9. Let j(c) = -46*c - 24. Calculate -3*j(v) + 8*s(v).
10*v
Let b(g) = -532*g**3 - 10*g**2 - 20*g + 10. Let q(n) = 177*n**3 + 3*n**2 + 6*n - 3. What is 3*b(v) + 10*q(v)?
174*v**3
Let p(z) = -7*z**3 - 4*z**2 + 2*z - 7. Let y(x) = -8*x**3 - 3*x**2 + 2*x - 6. Calculate -3*p(j) + 4*y(j).
-11*j**3 + 2*j - 3
Let n(q) = 3*q + 1. Let b(s) = s. Determine 6*b(m) + n(m).
9*m + 1
Let h(i) = -2*i + 1. Let d(n) be the first derivative of n**2 - 2*n + 118. Give -2*d(z) - 3*h(z).
2*z + 1
Let h(i) = -i**3 - 7*i. Let y(n) = n. Let k be (-2)/(-9) - ((-50)/18 + 4). Let x be (-2 + 3)/(k*(-2)/(-6)). Calculate x*h(w) - 21*y(w).
3*w**3
Let x(i) = -201*i**3 + 3*i**2 - 16*i + 8. Let v(z) = -202*z**3 + 3*z**2 - 14*z + 7. What is -8*v(l) + 7*x(l)?
209*l**3 - 3*l**2
Let b(x) = -x**3. Let o(m) be the first derivative of m**4/4 + 41. Let q(y) = 2*y - 4. Let f be q(4). Give f*o(r) + 5*b(r).
-r**3
Let j(d) = -4*d**3 + 2*d**2 + 11*d - 2. Let u(b) = 21*b**3 - 11*b**2 - 54*b + 11. Give -33*j(m) - 6*u(m).
6*m**3 - 39*m
Let k(i) = -17*i - 2. Let d(n) = -85*n - 11. Let z be -11*(6/(-42) + 40/35). Give z*k(x) + 2*d(x).
17*x
Let v(w) = w - 3. Let s(r) be the third derivative of r**4/24 - r**3/2 + r**2. Let l = -635 + 640. Calculate l*s(f) - 4*v(f).
f - 3
Let i(f) = -82*f**2 - 7*f - 3. Let h(c) = -39*c**2 - 3*c - 1. Determine -7*h(s) + 3*i(s).
27*s**2 - 2
Let r = -129 - -134. Let a(w) = w**3 - 5. Let f(q) = -3*q**3 + 9. Calculate r*f(s) + 9*a(s).
-6*s**3
Let l be 2 - -2*1 - 0. Let c(b) = -2*b**2 + 5*b - 2. Let o(g) be the second derivative of -g**3/6 - 276*g - 2. Calculate l*o(a) + c(a).
-2*a**2 + a - 2
Let w(j) = 13*j - 1. Let g(s) = 111*s + 5. Determine g(z) - 4*w(z).
59*z + 9
Let d = 13464 + -9038. Let i(l) = 4426 - d + l. Let k(v) = -3. Calculate i(m) - k(m).
m + 3
Suppose -21*q - 233 = -65. Let x(l) = -2*l + 1. Let j(p) = -5*p + 2. Determine q*x(v) + 3*j(v).
v - 2
Let w(u) = -9*u. Let k(z) = -4*z. Suppose 3*y + 5*b = 25, -b + 7 = y - 0*b. Let r be (-6 - -1)/((-65)/(-26)). Give r*w(i) + y*k(i).
-2*i
Let b(n) = -15*n**2 - 5*n - 15. Let k(g) = 8*g**2 + 3*g + 8. Give 6*b(q) + 11*k(q).
-2*q**2 + 3*q - 2
Let j(l) = -l - 1. Let u(p) be the third derivative of p**4/12 + p**3/2 + 11*p**2. Let b(c) = -4*c - 7. Let w be b(-3). Calculate w*j(n) + 2*u(n).
-n + 1
Let w = -120 + 126. Let n(a) = -4*a**2 + 5*a**2 - 4 + a + 7. Let z(c) = 2*c**2 + 2*c + 4. What is w*n(b) - 4*z(b)?
-2*b**2 - 2*b + 2
Let d(v) = v - 1. Suppose 2*p + 3 - 9 = 0. Let u(n) = -1 - p*n + 2*n + 0*n. Calculate d(b) - u(b).
2*b
Let m(d) be the first derivative of -d**4/4 + 5*d**3/3 - 2*d**2 + 2*d - 8. Let r(s) = s**2 - s. Suppose -y = -5*y + 20. Determine y*r(o) - m(o).
o**3 - o - 2
Let h(s) = -7*s**3 + 7*s**2 - 1. Let g(m) = -3*m**3 + 3*m**2 - 1. What is -5*g(n) + 2*h(n)?
n**3 - n**2 + 3
Let z(w) = 4*w**2 - 2*w - 6. Let o(n) = 5*n**2 - 4*n - 7. Determine -2*o(t) + 3*z(t).
2*t**2 + 2*t - 4
Let j(z) = 138*z - 1. Let d(r) = -r**2 - 275*r + 3. Determine -3*d(i) - 7*j(i).
3*i**2 - 141*i - 2
Suppose -f + 2*q + 3*q = -1, 0 = -4*f + 4*q - 12. Let t(c) = -4*c**3 + 3*c**2 + 34*c - 3*c**2 - 1 - 39*c. Let y(k) = -k. What is f*y(g) + t(g)?
-4*g**3 - g - 1
Let w(t) = -4*t**3 + 7*t**2 - 3*t - 1. Let b(d) = 7*d**3 - 13*d**2 + 5*d + 1. Suppose 18*v + 33 = 29*v. Calculate v*b(j) + 5*w(j).
j**3 - 4*j**2 - 2
Suppose -1898*m - 104 = -1896*m.
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{
"pile_set_name": "DM Mathematics"
}
|
the form c*h**2 + s + j*h + r*h**3 and give j.
0
Express -38*a - 2195*a**2 + 71*a - 33*a + 13 - 19 in the form t*a**2 + q + h*a and give t.
-2195
Express 4*g - 3*g**2 - 10 + 2*g**2 + 1535610*g**3 - 1535607*g**3 as j*g + l*g**2 + f*g**3 + r and give f.
3
Rearrange 2139*g**3 - 2140*g**3 + 3*g**2 - 7*g**2 + 80*g - 4 to the form l + x*g**2 + a*g + h*g**3 and give a.
80
Express 16 - 7 + 3 + 4 + m**3 - 18 + 2*m - 6*m**2 in the form j + b*m + p*m**3 + l*m**2 and give p.
1
Rearrange -20 + 93 - o + 20 + (-2 + 2 + 2*o)*(0 + 3 - 1) + (1 + 2 - 5)*(0 + 0 - 2*o) - 65*o - 12*o - 4*o to the form n + k*o and give n.
93
Express (-p + 4*p - p)*(1 + 1 + 0) + 28*p + 16*p - 18 - 7*p + 58*p as u + z*p and give u.
-18
Express (-475*q + 211*q - 655*q + 183*q)*(5*q**2 - 2 + 7*q**2 - 10*q**2 + 8*q) as r*q**2 + i*q**3 + y + k*q and give i.
-1472
Express (-5 + 1 + 3)*(-2*m + 3*m**2 + 2*m) + 2*m**2 + m - m + (-7*m - 5*m + 3*m)*(-5*m - 14 + 14) in the form a*m + o*m**2 + z and give o.
44
Rearrange (1113*a + 3 - 1117*a + 0)*(8 - 5 + 0) to the form j*a + f and give f.
9
Express 1109*i**2 + 1066*i**2 - 285*i + 242*i + 1 - 2118*i**2 as f*i + v*i**2 + m and give v.
57
Express -101656 - 3*d**2 - d**3 + 101656 + 86*d**4 in the form j*d**3 + l + o*d**2 + t*d**4 + z*d and give o.
-3
Express 231*b - 3*b**2 + 304*b + b**2 - 30*b - 1 - 106*b as s*b**2 + d*b + j and give s.
-2
Express -1136 - 22*x**3 - x**2 + 1123 - 5*x**2 - 9*x + 9*x as g*x**3 + b + m*x + d*x**2 and give g.
-22
Rearrange (-9*q - 42*q - 39*q)*(2*q + q + 0*q) + 8*q**2 - 5*q**2 - 5*q + 2*q to t + a*q + r*q**2 and give a.
-3
Rearrange -15*s**3 + 2*s**2 + 28*s**3 + 3*s**4 - 19*s**3 - s**4 + 6 + 4*s**4 to k*s**2 + b*s**3 + z + n*s**4 + f*s and give b.
-6
Rearrange (-h - 3*h**2 + h)*(-5*h - 6*h + 9*h) + (-h + 5*h**3 + h)*(-15 - 12 + 5) to the form k*h**3 + y*h**2 + d*h + z and give k.
-104
Express (-1 + 4 - 7)*(-8*z + 6*z + 19*z)*(-41*z**3 - 4*z**3 + 9*z**3) in the form w*z**3 + n*z**4 + j*z + p*z**2 + s and give n.
2448
Rearrange -4*o**2 + 6*o**2 - o**3 + 3*o + 27*o**2 + 18*o**2 - o - 2 to c*o + v*o**2 + r*o**3 + i and give c.
2
Rearrange 3294*r**2 + 1039*r**2 + 4562*r**2 - 3925*r**2 + 4683*r**2 + (-1 + 1 - r)*(r + 0*r + 0*r) to h*r**2 + m*r + c and give h.
9652
Rearrange 156*x - 44 - 1 + 185*x - 367*x to the form s + o*x and give o.
-26
Rearrange -2*r - 38*r**3 + 1022*r**3 + 165367 - 165368 to the form q*r + h*r**3 + f*r**2 + m and give q.
-2
Express 6*p**4 - 368*p**2 - 215 + 368*p**2 - 2*p**3 + 5*p**4 as l*p**2 + f*p**3 + d*p + u + t*p**4 and give f.
-2
Rearrange -g**2 - 7223*g**4 + 2*g**3 + 3603*g**4 + 3604*g**4 - 11 to the form n*g**4 + t*g**3 + z + r*g + h*g**2 and give z.
-11
Express (538 + 66 - 14)*((4*r + 3*r - 6*r)*(-r + r - 2*r) + (-2*r - 5 + 5)*(-r + 7*r - 3*r)) + r**2 - 1 + 1 as k*r + t + f*r**2 and give t.
0
Express 2915*c + 15451*c - 2771*c as u + z*c and give z.
15595
Express -r + 19*r - 3*r - 2*r**2 - 16*r + 2*r - 73*r**3 - 26 as c*r**3 + w + n*r + u*r**2 and give u.
-2
Express -2704*m + 558*m - 1318*m + 384*m - 540*m as s*m + a and give s.
-3620
Rearrange 15550*j - 4123 + 1371 + 1379 + 1373 to g*j + c and give g.
15550
Rearrange -4 + 830*r + 34*r**4 - r**4 - 823*r to p*r + h*r**3 + y*r**2 + w + g*r**4 and give w.
-4
Express 2*z**2 + 2 - 2 + (3*z**2 + 2*z**2 - 7*z**2)*(7 - 5 - 6) + 289*z**2 + 146*z**2 - 36*z**2 in the form y*z + g*z**2 + d and give g.
409
Rearrange -1922*q**2 + q + 8*q + 1865*q**2 to x*q + k*q**2 + u and give k.
-57
Rearrange -1001*x + 3006 - 3006 - 83*x - 625*x to the form r + j*x and give j.
-1709
Rearrange 585*u**2 + 1325*u**2 - 334*u**2 + (-4 + 4 + 3)*(4*u**2 - 6*u + 6*u) to m + x*u + k*u**2 and give k.
1588
Rearrange -n**3 - n**2 + n**2 + (0*n**2 + n**2 + 10*n**2)*(-2*n - 4*n + 5*n)*(-114 - 956 + 124) to the form q*n**3 + k*n + h*n**2 + m and give q.
10405
Express 715*y**3 - 401*y**3 + 398*y**3 + y + 1522*y**3 in the form r*y + d + h*y**2 + v*y**3 and give v.
2234
Rearrange (r + 3*r**2 - r)*(r - 2 + 2)*(1373 + 754 - 735) to the form o + q*r**2 + p*r**3 + f*r and give p.
4176
Express -g**3 - 3*g**3 - 582*g**2 + 33 - 50 + 7 + 11 as n*g**2 + q*g + b*g**3 + h and give n.
-582
Rearrange -453*n**3 + 10*n - n - 2*n - 4*n + 2*n**2 to the form o + w*n + k*n**2 + g*n**3 and give w.
3
Express -225*o - 52 + 328*o - 96*o + o**2 + o**3 in the form i*o + a*o**3 + u*o**2 + k and give k.
-52
Rearrange -10*f**2 + 4352*f - 1 - 2179*f - 2227*f to the form i*f + h + n*f**2 and give h.
-1
Rearrange 5*t**3 - 5*t**2 - t**2 - 4*t**3 + 4*t**2 - 43 + 483*t**4 + 46 to the form z*t**4 + o*t + n*t**3 + i + r*t**2 and give r.
-2
Rearrange -4805*j + 675*j - 5445*j + 11 - 11 to k*j + b and give k.
-9575
Express ((i - i - i)*(-1 + 1 + 1) - 4 + 4 + 2*i + 21954 - 21954 + 51*i)*(-4 - 13 - 12)*(0*i + 5*i - 3*i) as s + c*i + a*i**2 and give a.
-3016
Express -4*k + 8*k - 8*k + 28 + 0*k + 9 in the form z + h*k and give h.
-4
Rearrange (2*b - 2*b - 2*b)*(7 + 8*b - 7)*(1 - 3 + 4)*(18*b + 44 - 44)*(-15 + 13 + 7) to the form p*b**2 + h + w*b + a*b**3 and give a.
-2880
Express 36337275*b**4 - 2*b**2 - 3*b**3 - 2*b + 4*b**3 - 36337283*b**4 as z*b**4 + a*b**2 + u*b + o + y*b**3 and give u.
-2
Express -2*m**2 - 20 + 41 - 340*m**3 - 22 + 336*m**3 + 15*m as f + n*m**2 + o*m**3 + q*m and give o.
-4
Express 1645*b + 55*b**3 - 1642*b - 3*b**2 - 51*b**3 + b**4 in the form n + o*b + w*b**3 + m*b**2 + v*b**4 and give m.
-3
Rearrange (4*s + 4 - 5 - 3*s)*(-2*s - 2554*s**2 + 1288*s**2 + 1252*s**2 + 132) to the form o*s**3 + k + y*s + z*s**2 and give o.
-14
Express 45145*j + 3 + 161 - 3*j**2 - 45133*j in the form p*j**2 + w*j + c and give c.
164
Rearrange 6*r + 225*r**3 + r**2 + 27 - 26 - 222*r**3 + 3*r**4 to the form n*r**2 + l*r + t + a*r**3 + q*r**4 and give t.
1
Express -4*d - 3*d + 6*d + (0*d + 0*d + d)*(-2 + 1 - 1) + (-5 + 4 + 0)*((-12*d + 4*d - 4*d)*(2 - 4 + 4) - d - 8*d + 0*d) in the form f + o*d and give o.
30
Rearrange 3*s**2 - s**2 - 4*s**2 + (3*s - 2*s + s)*(-3 + 2*s + 3) + (2*s - 2*s - 2*s)*(56*s - 38*s - 36*s) to x + a*s + u*s**2 and give u.
38
Express (117 + 44*d - 24*d - 19*d)*(93*d**2 + 48*d**2 + 56*d**2 - 40*d**2 - 13*d**2) in the form q*d**2 + z*d**3 + i + f*d and give z.
144
Express 38 - 264 - 2*d + 47 - 284 as y + h*d and give y.
-463
Rearrange (82*r + 11*r + 37*r)*(-541 + 124*r**2 + 95*r**2 + 541) to c + p*r**2 + o*r + u*r**3 and give u.
28470
Rearrange (1178 - 1178 - 272*x**2)*(-4*x**2 - 202 + 197 - 7*x**2) to the form q*x + n + t*x**2 + m*x**3 + a*x**4 and give a.
2992
Express (2 - 4 + 1)*(2*w + 2 - 2)*(9786*w**3 + 8170*w**3 - 14448*w**3) in the form x*w**3 + p + h*w**4 + c*w**2 + j*w and give x.
0
Rearrange 6*h - 12*h - 2 - 5*h - h**4 - 2*h**4 + 11*h**2 - 10*h**2 to m*h**4 + y + u*h**3 + o*h**2 + t*h and give t.
-11
Rearrange (13 + 5 + 7)*(-3*c**2 - 3*c**2 + 4*c**2 + 2*c)*(49*c - 38*c - 33*c) to the form w*c + r*c**3 + f*c**2 + n and give r.
1100
Rearrange 866 + 82*t - 77*t - 153*t**2 - 864 to the form z*t + s*t**2 + i and give i.
2
Rearrange -12684*x + 12684*x - 328*x**2 + (26*x**2 + 29*x**2 + 3*x**2)*(3 - 2 + 1) to u*x + h + g*x**2 and give g.
-212
Rearrange -5*r**3 + 2*r - 234679*r**2 + 234693*r**2 - 12*r**3 + 1 to the form b*r + i*r**3 + x*r**2 + n and give i.
-17
Express -222 - 569 + 2*k - 248 - 380 as m*k + n and give m.
2
Express 91759*y + 94940*y - 2 - 183472*y in the form n + l*y and give n.
-2
Rearrange 1041*s + 3*s**2 + 60*s**3 - 488*s - 23 - 551*s to j + q*s**2 + k*s + b*s**3 and give q.
3
Rearrange (-18549 + 606*z**2 + 18549 - z)*(-4*z + 3*z + 0*z) to the form r + y*z + t*z**3 + p*z**2 and give p.
1
Rearrange -203*q - 218*q**2 + 202*q + 3*q**3 + 4*q**3 to z*q**3 + n + g*q + x*q**2 and give x.
-218
Rearrange (-51*q**4 - 117*q**3 + 117*q**3)*(0 + 0 + 2) + (-3*q**3 + 4*q**3 + q**3)*(4*q + q + q) to the form h*q**3 + m + y*q**4 + p*q + a*q**2 and give m.
0
Express -135*z - 3 + 12 - 524*z - 34 + 21 in the form t*z + m and give t.
-659
Rearrange -873*x**2 - 308*x**2 + 0 - 729*x**2 + 2 to the form t + z*x**2 + v*x and give z.
-1910
Express 17 + 21 + 0*b + 18 + 8*b**3 - 6*b - b**2 - 57 in the form i*b**2 + w*b**3 + t*b + j and give i.
-1
Express (-861 + 861 - 781*c)*(-2*c + 3*c + c)*(0 + 2 + 0)*(-2 - 1 + 1) as d*c + h + g*c**2 and give g.
6248
Express (12*i**3 - 44 + 44)*((3 - 3 - 5)*(1 + i - 1) + 2 + 2*i - 2 - i
|
{
"pile_set_name": "DM Mathematics"
}
|
order.
2.4, -1, -246
Sort -8/3, 0.3, -11.3, 16.7 in increasing order.
-11.3, -8/3, 0.3, 16.7
Put 0, 233, 4, -4, -73 in ascending order.
-73, -4, 0, 4, 233
Sort -8, 708, 120.
-8, 120, 708
Sort 4, -4, 201, 11, -3, -5/6.
-4, -3, -5/6, 4, 11, 201
Sort -5, -86, 2, 10 in increasing order.
-86, -5, 2, 10
Put -0.1, -5, -14/9, -0.279, 2/5 in decreasing order.
2/5, -0.1, -0.279, -14/9, -5
Sort -3, 0.5, 439, 1/3, 26.
-3, 1/3, 0.5, 26, 439
Sort 21, 2, 16, -2, 1, 40 in descending order.
40, 21, 16, 2, 1, -2
Sort 520/61, -6, -0.1 in increasing order.
-6, -0.1, 520/61
Put -2, -16, -188, -3, -1, 10 in increasing order.
-188, -16, -3, -2, -1, 10
Sort -2, 0.2, 2, -22/3, -29 in descending order.
2, 0.2, -2, -22/3, -29
Sort -2, 0.3, -1, -2.571 in increasing order.
-2.571, -2, -1, 0.3
Put 1, -11, 18, 2, 5 in increasing order.
-11, 1, 2, 5, 18
Put -4, 2030, 0, -3, 3 in descending order.
2030, 3, 0, -3, -4
Sort -2/7, 83, -88, 5.
-88, -2/7, 5, 83
Sort -1, -2, 1, 29, 5, -5 in increasing order.
-5, -2, -1, 1, 5, 29
Sort 25, -4, -0.5, -1729.
-1729, -4, -0.5, 25
Put 51, 2, 8, 23 in increasing order.
2, 8, 23, 51
Put 5, 3, -226, -24, 19, 1 in decreasing order.
19, 5, 3, 1, -24, -226
Sort -2, 0, -13, 4, -56, -1/5 in ascending order.
-56, -13, -2, -1/5, 0, 4
Put -1, 0.3, -7162.693 in ascending order.
-7162.693, -1, 0.3
Sort -51, 7, -8, -4, 1 in ascending order.
-51, -8, -4, 1, 7
Sort -13/6, 1, -1657, -4 in decreasing order.
1, -13/6, -4, -1657
Put 5, 37, -741 in increasing order.
-741, 5, 37
Put 198, -2, -1, 1, 5 in decreasing order.
198, 5, 1, -1, -2
Put 80, -4, 13, 1, 3 in ascending order.
-4, 1, 3, 13, 80
Sort -33, 0, 3, 2143 in decreasing order.
2143, 3, 0, -33
Put -5, 1, 196, -4, 5 in decreasing order.
196, 5, 1, -4, -5
Sort 0.3, -49, 0.101.
-49, 0.101, 0.3
Sort -225, -1579, -4 in descending order.
-4, -225, -1579
Sort 8017, -1, -5, 4, -4 in ascending order.
-5, -4, -1, 4, 8017
Put -43, -1, -9 in decreasing order.
-1, -9, -43
Sort 9, 5, -14.7, 4, 3 in decreasing order.
9, 5, 4, 3, -14.7
Sort -31, 1914, 1/9 in descending order.
1914, 1/9, -31
Put 1, -1/3, -1/5, 3/4, -1/4, 0.54 in decreasing order.
1, 3/4, 0.54, -1/5, -1/4, -1/3
Put 16, 2, -2, -3, -5, 335 in descending order.
335, 16, 2, -2, -3, -5
Put -3, -8, 6, -9721 in ascending order.
-9721, -8, -3, 6
Sort -65, 2/9, -0.045, -0.01, 5.
-65, -0.045, -0.01, 2/9, 5
Put -5, 3415, 1, 3, 0 in decreasing order.
3415, 3, 1, 0, -5
Put -89, 2, -6, -179 in ascending order.
-179, -89, -6, 2
Sort 3, -4/11, 2, 4/3, -29.
-29, -4/11, 4/3, 2, 3
Put 280, -5, 3, 9, 8 in ascending order.
-5, 3, 8, 9, 280
Sort -0.5, 1263.6, 0.1 in descending order.
1263.6, 0.1, -0.5
Put 0, 7, 1, -83, 3, -1 in descending order.
7, 3, 1, 0, -1, -83
Sort -76, 2, -17, 4, 1 in decreasing order.
4, 2, 1, -17, -76
Put 11, 228, 5, -1 in decreasing order.
228, 11, 5, -1
Put 4, -2, 1590, -5, 5 in descending order.
1590, 5, 4, -2, -5
Put 2, 952, -91, -2 in descending order.
952, 2, -2, -91
Put 248, -319, 1, -2 in increasing order.
-319, -2, 1, 248
Sort 1, 3, -4, 36, 2 in descending order.
36, 3, 2, 1, -4
Put 11, -58, 6, 5, -4, 2 in descending order.
11, 6, 5, 2, -4, -58
Sort 3, 252, -0.03, 1, 0.16, -2 in increasing order.
-2, -0.03, 0.16, 1, 3, 252
Put 1, -0.0909, -0.17 in decreasing order.
1, -0.0909, -0.17
Put -22750, -1/8, 0.3 in descending order.
0.3, -1/8, -22750
Sort -0.38, -8, -1.4, -0.3 in descending order.
-0.3, -0.38, -1.4, -8
Put 5, -2630, 71 in ascending order.
-2630, 5, 71
Put 3, -2, 4, -5, 1, 204/7 in descending order.
204/7, 4, 3, 1, -2, -5
Put 276, 4, 59, 0 in descending order.
276, 59, 4, 0
Sort 2, 3, 0.14, -2/7, 0.031.
-2/7, 0.031, 0.14, 2, 3
Sort 6.3, 4/43, 29, -5, -4.
-5, -4, 4/43, 6.3, 29
Sort 3, 2, 1, 276, -8 in increasing order.
-8, 1, 2, 3, 276
Sort -10332, 2, -5 in decreasing order.
2, -5, -10332
Put 409, -9/10, 5, -0.4, 0.5 in descending order.
409, 5, 0.5, -0.4, -9/10
Put -18, 179, 8 in decreasing order.
179, 8, -18
Put -0.2, 2, -2, -418 in descending order.
2, -0.2, -2, -418
Sort 3, -370, -32, -4 in descending order.
3, -4, -32, -370
Sort 2, -13, -49, 22 in descending order.
22, 2, -13, -49
Sort 3, -19, 379, 5 in descending order.
379, 5, 3, -19
Put -34, 3, 10540, -2 in decreasing order.
10540, 3, -2, -34
Put 2, 3, -460, -3, 1 in decreasing order.
3, 2, 1, -3, -460
Sort -5, 9, -2/231, -4 in descending order.
9, -2/231, -4, -5
Put -688/5, 1/5, 3, -2, -0.4, -3/4 in decreasing order.
3, 1/5, -0.4, -3/4, -2, -688/5
Sort 63, -3, 377 in descending order.
377, 63, -3
Sort 2, 0.2, 1, -10128, 10 in decreasing order.
10, 2, 1, 0.2, -10128
Sort -1, -16, -5, 12, -6, 27 in descending order.
27, 12, -1, -5, -6, -16
Sort -2, 9, -5, -3826, -0.4 in ascending order.
-3826, -5, -2, -0.4, 9
Sort 2/3, 449, -0.2, -0.03.
-0.2, -0.03, 2/3, 449
Sort -761, 1, -8 in decreasing order.
1, -8, -761
Put 2, -4, -45, -1, 102 in decreasing order.
102, 2, -1, -4, -45
Put -2398, -4/9, 2 in increasing order.
-2398, -4/9, 2
Put 0.1, 0.004, -0.13, 3 in ascending order.
-0.13, 0.004, 0.1, 3
Sort -0.3, -3/7, -8.1, 7.
-8.1, -3/7, -0.3, 7
Put -3/2, 27, -1, -2, 1/7 in ascending order.
-2, -3/2, -1, 1/7, 27
Sort 0, 47043, -1 in increasing order.
-1, 0, 47043
Put 3, -62782, -4 in decreasing order.
3, -4, -62782
Put -2/7, -4/5, 769, 0, 2/9 in decreasing order.
769, 2/9, 0, -2/7, -4/5
Sort 0, -1, 4, -5, 5, -8 in increasing order.
-8, -5, -1, 0, 4, 5
Sort -5, 0, 1377, 1 in decreasing order.
1377, 1, 0, -5
Put 0.4, -4942, -0.06, 4/5, 0, 0.2 in descending order.
4/5, 0.4, 0.2, 0, -0.06, -4942
Sort 47, -2, -5, 1, 3 in decreasing order.
47, 3, 1, -2, -5
Sort 20, -5, 52, 1 in descending order.
52, 20, 1, -5
Sort 13, -3, -10, -754 in decreasing order.
13, -3, -10, -754
Put 8, 3, 5, 405, -5, 6 in descending order.
405, 8, 6, 5, 3, -5
Sort 3, -39, 648, -5 in ascending order.
-39, -5, 3, 648
Sort 14661, -2/13, -1 in increasing order.
-1, -2/13, 14661
Put 10, 1, 5, -4, -56, -10 in increasing order.
-56, -10, -4, 1, 5, 10
Put -81, 1, 15 in decreasing order.
15, 1, -81
Sort 3, -3, 0, 15, 62 in decreasing order.
62, 15, 3, 0, -3
Sort 1, 31, -415 in decreasing order.
31, 1, -415
Put -4, 898, -0.2, 62, -0.3 in ascending order.
-4, -0.3, -0.2, 62, 898
Sort -52063, -2/9, -3 in descending order.
-2/9, -3, -52063
Put 4, -4, -1, -1027 in increasing order.
-1027, -4, -1, 4
Put -2, 0.3, 215192, 2 in ascending order.
-2, 0.3, 2, 215192
Put -4, 44, -43, 2, 4, -6 in ascending order.
-43, -6, -4, 2, 4, 44
Put 2/41, 2/7, -3/44, -3/2 in ascending order.
-3/2, -3/44, 2/41, 2/7
Sort -5, 44, 111, 0 in descending order.
111, 44, 0, -5
Sort 5, -1/679, 2.8, -2/13.
-2/13, -1/679, 2.8, 5
Put 5, -2, 4, -4, -5367 in descending order.
5, 4, -2, -4, -5367
Put -1, -22, -5, 0, -3, 16 in ascending order.
-22, -5, -3, -1, 0, 16
Put 2, -0.3, 0.1, 0, -69381, -3 in increasing order.
-69381, -3, -0.3, 0, 0.1, 2
Put -0.0881, -2/5, -5, 3/2 in increasing order.
-5, -2/5, -0.0881, 3/2
Sort 4, 2, 11299 in increasing order.
2, 4, 11299
Put 50, -11, -3, 2 in descending order.
50, 2, -3, -11
Sort 3563, 0, -3 in descending order.
3563, 0, -3
Sort 20, 5, -0.021, -2.9, 3 in decreasing order.
20, 5, 3, -0.021, -2.9
Sort 1211, 18/11, 0.5 in decreasing order.
1211, 18/11, 0.5
Sort 5, -10, 1, -781, 2 in increasing order.
-781, -10, 1, 2, 5
Sort -4/3, 15, -2/3, 4 in decreasing order.
15, 4, -2/3, -4/3
Put -3, 0, -33, -207 in ascending order.
-207, -33, -3, 0
Put -33/2, -2/279, 0.2 in decreasing order.
0.2, -2/279, -33/2
Put -0.5, -0.16, 0.05, -2/3, 3, 9 in descending order.
9, 3, 0.05, -0.16, -0.5, -2/3
Sort -2, 113, -458, 5, 3.
-458, -2, 3, 5, 113
Put 11, -5, 0.2, 2, -24, 0.3 in ascending order.
-24, -5, 0.2, 0.3, 2, 11
Sort -73, -6, 7, -2, 2 in increasing order.
-73, -6, -2, 2, 7
Sort 5, 0, -13.6, -0.4 in descending order.
5, 0, -0.4, -13.6
Put 1, 0.062, 2/7 in ascending order.
0.062, 2/7, 1
Sort 24, 3, -1327, -4 in ascending order.
-1327, -4, 3, 24
Put 4, 0.2, 81.7, -0.4 in decreasing order.
81.7, 4, 0.2, -0.4
Put -3, -24, -15 in descending order.
-3, -15, -24
Sort -2, -1, -3526, -3 in ascending order.
-3526, -3, -2, -1
Put -2, 5, 1055, -0.018 in increasing order.
-2, -0.018, 5, 1055
Sort 5, -2/7, 29, -0.1, 9 in descending order.
29, 9, 5, -0.1, -2/7
Sort -7524, -4, 52.
-7524, -4, 52
Sort 6559, -9, 0 in descending order.
6559, 0, -9
Put -6, -
|
{
"pile_set_name": "DM Mathematics"
}
|
((s*(s*s/(s/(s**1/s)*s*s))/s)/s) assuming s is positive.
s**(27/13)
Simplify (q*q**18)/(q/(q**(-2/57)*q)) assuming q is positive.
q**(1081/57)
Simplify ((d**(-1)*d)/d*d)/(d*d*d**(-6/5)) assuming d is positive.
d**(-4/5)
Simplify (z**2*z*z/(z**(1/9)/z))**(-2) assuming z is positive.
z**(-88/9)
Simplify (v*v**2)**(1/68)*v**(-2)/v**3 assuming v is positive.
v**(-337/68)
Simplify (o/(o*o**(-1)))**43*o**7*((o**(1/2)*o)/o)/o assuming o is positive.
o**(99/2)
Simplify x**(1/43)*x/(x*x**(-8/3)*x*x) assuming x is positive.
x**(89/129)
Simplify (h*h/(h*(((h*h/h**(-1/7))/h)/h*h)/h))/(h*((h*(h**(-13)*h)/h)/h)/h) assuming h is positive.
h**(97/7)
Simplify (k/(k*k/(k/(k/(k*k/k**(-6/7)*k)))))/k**(-3)*(k/(k/(k/(k**(3/4)/k)*k)))/k**(-7) assuming k is positive.
k**(423/28)
Simplify (w**6/w**(1/2))**(-2/37) assuming w is positive.
w**(-11/37)
Simplify (j*j/(j/j**(-1/7))*j)**(13/7) assuming j is positive.
j**(169/49)
Simplify (s*s*(s**1*s)/s*s)**(-41) assuming s is positive.
s**(-164)
Simplify (c*c/(c*c**(5/16)))/c**4 assuming c is positive.
c**(-53/16)
Simplify (u/(u*u**(-16)*u))**(-2/7) assuming u is positive.
u**(-30/7)
Simplify (f*f/(f**(-8)/f)*f)**0 assuming f is positive.
1
Simplify x**(7/4)*x*x**11 assuming x is positive.
x**(55/4)
Simplify q**9*(q**(8/9)*q)/q assuming q is positive.
q**(89/9)
Simplify (q**(-18)/q**(-18))**45 assuming q is positive.
1
Simplify (x**(-6))**(21/5) assuming x is positive.
x**(-126/5)
Simplify (z/(z/((z*z*(z*z**15*z*z)/z)/z)))/z**(-31) assuming z is positive.
z**49
Simplify (x**2*x)/x*x/(x**(1/4)*x*x)*x**(-5)*x**(-7) assuming x is positive.
x**(-45/4)
Simplify z*z*z**3*z**(-4/3)*(z*z/((z/z**4)/z))/z*z**4 assuming z is positive.
z**(38/3)
Simplify (f/(f/f**(-2/7)))**1/(f*f**1)**(17/4) assuming f is positive.
f**(-123/14)
Simplify (a**(-6/5)/a)/(a/(a/a**(-2/9)*a*a))*a*a**(-2/5)*a*a*a/(a/a**(-2/9))*a*a assuming a is positive.
a**(22/5)
Simplify n*n**33*n**(3/10) assuming n is positive.
n**(343/10)
Simplify r**9*r**(-7) assuming r is positive.
r**2
Simplify ((f/f**(-2/5))/f**(-2))/(((f*f**6)/f)/f**(-2/13)) assuming f is positive.
f**(-179/65)
Simplify (z/z**(5/3)*z**(-8))**49 assuming z is positive.
z**(-1274/3)
Simplify (((g/((g/((g/(g**(-1/3)/g))/g))/g*g)*g)/g)/g)**35*(g*g**(-1/4)*g)**(-31) assuming g is positive.
g**(-511/12)
Simplify (a*a/a**(2/5))**40/(a**5/(a/a**(-7/2))) assuming a is positive.
a**(127/2)
Simplify (r**(-8/7)/r)**(-31) assuming r is positive.
r**(465/7)
Simplify (l**0)**(4/5)/((l/l**(-2))/l)**(-17) assuming l is positive.
l**34
Simplify (x**(3/7))**32/(x**(-9)*x/(x**(-8)*x)) assuming x is positive.
x**(103/7)
Simplify ((f/(f*f**(-1/3)*f*f))/f**1)/((f**(-3)*f)/f*f**(-5)) assuming f is positive.
f**(16/3)
Simplify (q**0)**11*q/(q*q*q/((q/((q*q/((q*q**(-3))/q))/q))/q))*q*q*q**(3/5) assuming q is positive.
q**(-17/5)
Simplify l**(-21)/l**(1/33) assuming l is positive.
l**(-694/33)
Simplify (f**3/f**(-8))**(-16) assuming f is positive.
f**(-176)
Simplify (((j**4*j)/j)**(-2/13))**18 assuming j is positive.
j**(-144/13)
Simplify (g**(-2/3)/g*g**(-5/7))/(g/(g*g**(3/2))*g**(2/17)) assuming g is positive.
g**(-713/714)
Simplify (k**(-2/23))**(-41) assuming k is positive.
k**(82/23)
Simplify (n**2/n)**(-2/13) assuming n is positive.
n**(-2/13)
Simplify ((c*c**(2/19))/(c**(-4)*c))/(c**1*c*c/c**5*c*c) assuming c is positive.
c**(78/19)
Simplify (f**(6/11)*f/(f**(-2/29)/f))**(2/61) assuming f is positive.
f**(1668/19459)
Simplify u/u**(3/8)*u**(-15/4) assuming u is positive.
u**(-25/8)
Simplify (m**0/m)**(-10/11)/((m/m**(2/7))/m*m*m**(1/3)/m) assuming m is positive.
m**(199/231)
Simplify (a/(a/((a*a/((a/(a**25/a))/a))/a)))/a**(-27) assuming a is positive.
a**52
Simplify (j**1)**(-8/5) assuming j is positive.
j**(-8/5)
Simplify i/i**(5/2)*i**(1/5) assuming i is positive.
i**(-13/10)
Simplify r**(4/17)/((r/r**(-2/15))/r) assuming r is positive.
r**(26/255)
Simplify (w/(w*w**(-4/27)*w))**(-48) assuming w is positive.
w**(368/9)
Simplify ((u*u**(-25))/u)**42 assuming u is positive.
u**(-1050)
Simplify v**10*v**(-5) assuming v is positive.
v**5
Simplify ((b/(((b/(b/(b*b*b**4*b)*b)*b)/b)/b*b*b))/b)/b**5 assuming b is positive.
b**(-12)
Simplify (t**(-2/3)/t)**(-2/37) assuming t is positive.
t**(10/111)
Simplify (q/q**(-14))/(q*q**(4/19)*q) assuming q is positive.
q**(243/19)
Simplify j*j/((j*j/(j*j**(-5/6)))/j)*j/(j/(j*j*j**(2/75)*j)) assuming j is positive.
j**(629/150)
Simplify f**5/f*f**(1/18)*(f**(-1/3)*f)**(-4/5) assuming f is positive.
f**(317/90)
Simplify (y**(-7/2)*y)/(y/(y*(y**(2/85)/y)/y*y)) assuming y is positive.
y**(-591/170)
Simplify (b**(-3/4)*b*b**5)/(b**(-2)*b*b)**(-3/26) assuming b is positive.
b**(21/4)
Simplify c/c**(15/2)*c**(-16) assuming c is positive.
c**(-45/2)
Simplify (o**1)**(2/5)/(o**(4/3)*o**(-2/3)*o) assuming o is positive.
o**(-19/15)
Simplify (j**2)**29*(j/((j*j/((j**(-2)*j)/j))/j))**(9/7) assuming j is positive.
j**(388/7)
Simplify (g/((g*g**34)/g))/((g*(g*g*g/g**(-15)*g)/g)/g) assuming g is positive.
g**(-51)
Simplify ((i/(i/(i*i**(-2/27)/i)*i))/i*(i**(-2/3)/i*i)/i)/(i**5/i*i**(-2)) assuming i is positive.
i**(-155/27)
Simplify ((f*f**(-4/7)*f)/f*f)/(f*f**(-1/6))*(f*f**0)**(4/5) assuming f is positive.
f**(293/210)
Simplify ((u*u**(-1)*u*u)**(3/23))**(1/31) assuming u is positive.
u**(6/713)
Simplify ((x**(2/19)*x*x)/((((x*x*x*(x*x*x/x**(2/11))/x*x*x)/x*x)/x)/x))**(-24) assuming x is positive.
x**(13608/209)
Simplify ((z/((z/(z/(z*(z*z**(1/6))/z)))/z))/z)**(2/27) assuming z is positive.
z**(-1/81)
Simplify (x**(2/7)/(x*x**(-3)))**(-15) assuming x is positive.
x**(-240/7)
Simplify ((x/x**(3/8))/((x/(x/(x/x**(-6)))*x)/x))/(x/(x**(-1/3)/x))**20 assuming x is positive.
x**(-1273/24)
Simplify (x/(((x/((x*x*(x/(x*x**(1/3)*x))/x)/x)*x)/x)/x*x))**(-1/16)/((x/x**(-2/5))/(x/(x*x*x*x/x**3*x))) assuming x is positive.
x**(-139/60)
Simplify (f*f**(-13/3))**(-1/21) assuming f is positive.
f**(10/63)
Simplify z**(3/2)*z*z**4 assuming z is positive.
z**(13/2)
Simplify o/(o*o**(-2))*o*o**(-26) assuming o is positive.
o**(-23)
Simplify (q/(q**(-2/3)*q*q)*q**(-3/5))/(q**2)**(2/87) assuming q is positive.
q**(-142/145)
Simplify (a**(-13)/a)/(((a/(a**(-4/9)*a))/a)/a) assuming a is positive.
a**(-112/9)
Simplify w*w/w**(5/7)*w**19 assuming w is positive.
w**(142/7)
Simplify (r**(-3)/r**(1/2))/(r*r**(-2/9)*r**(-10)) assuming r is positive.
r**(103/18)
Simplify i*i/(i/(i*i/i**(-1)))*i/(i*i**(-4/7)/i*i*i) assuming i is positive.
i**(25/7)
Simplify n**(2/11)*n*n**(4/7) assuming n is positive.
n**(135/77)
Simplify ((n*n/(n*n/(n*(n*(n*n**(-4))/n)/n))*n)/((n/n**(-5))/n))/(n**(-2/7)/(n/((n*n/n**(1/2))/n*n))) assuming n is positive.
n**(-101/14)
Simplify (d**5*d)**(-38) assuming d is positive.
d**(-228)
Simplify (m**(-1/3))**(-8/7) assuming m is positive.
m**(8/21)
Simplify ((z**(-1))**2)**(-23) assuming z is positive.
z**46
Simplify (g/(g/(g/(g*g/g**(-22)*g*g)*g)))/g**22 assuming g is positive.
g**(-46)
Simplify (s/(s/s**(-2/7)))**(9/4)/(s**0)**(-2/89) assuming s is positive.
s**(-9/14)
Simplify (x**(-1/6)/(x/x**(-2/3)))**0 assuming x is positive.
1
Simplify (s/(s*(s/s**(-2/13))/s))**(-41) assuming s is positive.
s**(82/13)
Simplify (z*z**1*z)**(-28)*z**5*z*z/((z**8/z)/z)*z assuming z is positive.
z**(-82)
Simplify x**6*x/(x/(x**(-4/5)*x*x*x)*x)*x*(x**(-1/3)/x)**9 assuming x is positive.
x**(-19/5)
Simplify h/h**(1/3)*(h**(-5)/h)/h assuming h is positive.
h**(-19/3)
Simplify (t/(t/(t**(-3)/t))*(t/((t/(t*(t/((t*t/t**(-5))/t)*t)/t*t)*t)/t))/t)/((t/t**(-4))/t**(-2/7)) assuming t is positive.
t**(-93/7)
Simplify g**(-4)*((g**(9/4)/g)/g)/g assuming g is positive.
g**(-19/4)
Simplify (c*c**(1/3)/c)/(c*c/((c/(c*c/(c/(c/((c*c**(-7)*c)/c*c)))))/c*c)) assuming c is positive.
c**(-23/3)
Simplify a**(2/21)*a*a*a**7 assuming a is positive.
a**(191/21)
Simplify k**9*k/(k/k**(8/9))*k assuming k is positive.
k**(98/9)
Simplify ((c*c**0*c)/(c*c*c**(2/9)))**(3/2) assuming c is positive.
c**(-1/3)
Simplify ((l*(l**(-1/7)*l)/l)/(l**4/l))/(l**(2/13)/(l/l**(-1/7))) assuming l is positive.
l**(-15/13)
Simplify (a/(a*(a/(a*a*a**(2/17))*a)/a*a)*a**(10/9))**(-1/2) assuming a is positive.
a**(-94/153)
Simplify (h*h**(1/10)/h*h*h/(h*h**(5/6)/h))**(-22) assuming h is positive.
h**(-418/15)
Simplify (r*(r**(-9)/r)/r*r)**(-22) assuming r is positive.
|
{
"pile_set_name": "DM Mathematics"
}
|
g be u(18). Find the third derivative of g*y**2 + 9*y**3 + 13*y**2 - 3*y**b wrt y.
54
Find the first derivative of 6680*x**4 + 752 + 900 - 5964*x**4 wrt x.
2864*x**3
Let u(w) = -1935*w**3 - 22*w**2 + 59*w + 6. Let v(b) = 388*b**3 + 4*b**2 - 12*b - 1. Let f(q) = 2*u(q) + 11*v(q). Find the second derivative of f(d) wrt d.
2388*d
What is the third derivative of -5*i**4 + 22*i**4 - i + 39*i**2 - 416*i**3 - 107*i**2 + 419*i**3 wrt i?
408*i + 18
Suppose 13*y - 180 = 899. What is the second derivative of 5*l**3 + 6 - 3*l**3 + 1827*l - y*l**4 - 1819*l wrt l?
-996*l**2 + 12*l
Let s(v) = 2*v**3 - 11*v**2 + 24*v - 9. Let h be s(5). Differentiate -h - 96 + 167 - 234*k with respect to k.
-234
Let p(c) = -685*c**3 + 9*c**2 + 3*c - 1017. Let j(w) = 684*w**3 - 6*w**2 - 2*w + 1018. Let z(v) = -3*j(v) - 2*p(v). Differentiate z(n) wrt n.
-2046*n**2
Differentiate -837 - 640 - 5241 + 495 - 4934*z**4 with respect to z.
-19736*z**3
Let q be (-10)/15*(0 - 3). What is the derivative of -36 + 25*o**4 - q*o**2 + o**2 - 35 wrt o?
100*o**3 - 2*o
What is the first derivative of -214*g**4 - 2409 + 8304*g**4 - 389 - 2382 wrt g?
32360*g**3
Let t = -33 + 135. Differentiate -t - 109 + 158*m**4 + 206 with respect to m.
632*m**3
Let q(h) be the second derivative of 2*h**6/15 + 65*h**4/3 + 132*h**2 + 2*h - 865. Differentiate q(x) wrt x.
16*x**3 + 520*x
Let o(v) be the first derivative of 8876*v**3/3 - 12086*v + 15389. Differentiate o(i) wrt i.
17752*i
Let x(v) be the first derivative of -49*v**5/5 + 4*v**3 - 143*v**2/2 - 10980. Find the third derivative of x(q) wrt q.
-1176*q
Suppose 2*n + 4 = -5*r + 11, -3*r + 2*n = -17. What is the third derivative of 261*p**2 - 71*p**r - 203*p**2 + 6*p**3 - 110*p**3 wrt p?
-1050
Let c(v) be the second derivative of -689*v**7/7 - v**6/30 + v**4/3 - v**3/3 + 50*v**2 + 65*v - 17. Find the third derivative of c(o) wrt o.
-248040*o**2 - 24*o
Let j(k) be the first derivative of 2/3*k**6 + 5/7*k**7 + 0*k**5 + 0*k**4 + 20/3*k**3 - 1/2*k**2 - 111 + 0*k. What is the third derivative of j(w) wrt w?
600*w**3 + 240*w**2
What is the third derivative of -959*j**6 - 913*j**6 + 697700*j**2 - 6511*j**6 - 701091*j**2 wrt j?
-1005960*j**3
What is the third derivative of 65*k**4 + 2 - 981*k**2 - 6077*k + 7*k**3 + 6077*k wrt k?
1560*k + 42
Suppose -c + 3*r - 8 + 86 = 0, 5*c + r - 422 = 0. Let t be 40/(-16) + 11/2. What is the derivative of 23*p**t + c*p - 84*p - 9 wrt p?
69*p**2
Suppose -l + x + 5 = 2, -2*l - x = -12. Suppose -f + 14 = 2*t, -l*f - 6 = -t + 23. What is the derivative of 6 - 20*c**3 - 7 + t + 3 wrt c?
-60*c**2
Let f(y) be the second derivative of -2833*y**6/30 + 149*y**4/12 + 5*y**3/6 - 245*y. What is the third derivative of f(g) wrt g?
-67992*g
Let p(u) be the first derivative of -25*u**6/6 + 3*u**4/2 + 287*u**3 - 1200. What is the third derivative of p(c) wrt c?
-1500*c**2 + 36
Let u be (-3)/(45/24)*(-200)/16. Suppose -3*s + c + 11 = 0, -2*s - u = -7*s + 2*c. What is the derivative of 19 - 12*m**s + 8 - 5 wrt m?
-24*m
Let r(k) = -105*k**3 + k - 15. Let w = 126 + -118. Let p(o) = 158*o**3 - 2*o + 23. Let g(i) = w*r(i) + 5*p(i). Find the second derivative of g(q) wrt q.
-300*q
Suppose 3*q = -3*q + 54. Let c(x) be the first derivative of -3*x**2 - q*x - 10*x**3 + 3*x**2 - x + 1. What is the first derivative of c(m) wrt m?
-60*m
Let q(x) be the second derivative of 0*x**2 - 5 - 1/7*x**7 + 0*x**3 + 0*x**6 - 1/28*x**8 + 14*x - 287/12*x**4 + 0*x**5. Find the third derivative of q(g) wrt g.
-240*g**3 - 360*g**2
Let j(u) be the first derivative of -17*u**6/15 - 10*u**3/3 - 33*u**2 + 21. Let z(m) be the second derivative of j(m). What is the derivative of z(a) wrt a?
-408*a**2
Let h = 17 + -2. Suppose 15 = 3*k + u, 3*u + h = 3*k + 2*u. What is the second derivative of -k*t + 9*t - 9*t**4 + 32*t**4 + 4*t wrt t?
276*t**2
Let s(o) = -3*o + 5. Let n be s(-3). Find the second derivative of -9*c**3 + 23*c - n*c + 60 - 24*c**3 - 8*c wrt c.
-198*c
What is the second derivative of 260*w + 4227*w**4 + 69*w + w wrt w?
50724*w**2
Let i(j) = 2*j**3 + 17*j + 35. Suppose 4 + 2 = -z. Let l(b) = 103*b - 286 + 298 + b**3 - 97*b. Let g(q) = z*i(q) + 17*l(q). Differentiate g(h) wrt h.
15*h**2
Suppose 3*t = -2*b + 48, -5*b = t + 1 - 4. Find the second derivative of -168*q**2 - 16 - 42*q**2 + 34*q**2 - 5*q + t wrt q.
-352
Let a = -480 + 523. What is the first derivative of -76*t + 37*t - 19*t + 158*t - a wrt t?
100
Suppose -x + 122 - 63 = 0. What is the derivative of -x + 17*m + 5 - 49 + 20 wrt m?
17
Let g(r) be the second derivative of 7/6*r**4 - 1/3*r**3 - 69*r**2 - 126*r + 0. Differentiate g(k) with respect to k.
28*k - 2
Let o = 4 + 1. Suppose -3*k + o*y + 11 + 0 = 0, 4*k = y + 9. What is the third derivative of -34*f**k + 25*f**2 - 26*f**6 - 8*f**6 wrt f?
-4080*f**3
What is the derivative of 5571*p**4 - 2277*p**4 - 4454 - 922*p**4 wrt p?
9488*p**3
Let n(t) = -t**2 + 2*t + 67. Let p be n(9). Find the second derivative of 22*y**3 + 245*y - 247*y - y**p + 9*y**3 - 138*y wrt y.
-12*y**2 + 186*y
Suppose -2*o - h + 25 = 3*o, 2*o + h - 13 = 0. Suppose 8 = o*s - 2*s. What is the third derivative of 0*g**4 + 2*g**s + 9*g**4 + 4*g**2 + 0*g**4 wrt g?
264*g
Let m(n) = 6*n**2 - 4*n - 4. Let u be m(-1). Let z be (-2)/4*464/(u - 14). What is the third derivative of -z*q**4 - 2*q + 532*q**2 - 506*q**2 + 2*q wrt q?
-696*q
Let x = -1591 - -1592. Let t(w) = w + 1. Let i(o) = -7*o. Let j(y) = -6*y. Let m(v) = 5*i(v) - 6*j(v). Let r(f) = x*t(f) + 6*m(f). Differentiate r(k) wrt k.
7
Let x(d) = -70*d**2 - 108*d + 4490. Let l(z) = 59*z**2 + 109*z - 4488. Let b(f) = -6*l(f) - 5*x(f). Differentiate b(g) wrt g.
-8*g - 114
Suppose -5*k - 6 = 4*q, 4*k - 3*q + 0*q = 20. Suppose 180*u = 181*u - 3. Find the third derivative of 55*a**3 - 11*a**k - 9*a**4 - 55*a**u wrt a.
-216*a
Suppose 0 = 19*m - 101 + 25. Find the third derivative of -30*l**2 - 63*l**4 - 55*l**m + 88*l**2 + 116*l**4 + 4*l**3 wrt l.
-48*l + 24
Let i be 8739/12 - (3 - 55/20). What is the second derivative of -d - 117*d + i*d**2 - 851*d**2 wrt d?
-246
Let c(i) = 182*i**4 + 6*i**2 - 6*i + 1979. Let q(t) = -182*t**4 - 7*t**2 + 7*t - 1979. Let x(h) = -7*c(h) - 6*q(h). Differentiate x(n) with respect to n.
-728*n**3
Let m(j) be the second derivative of -57*j**7/14 - j**5/20 + 297*j**4/4 - 130*j. Find the third derivative of m(g) wrt g.
-10260*g**2 - 6
Let c(z) = 151*z**3 + 32*z**2 - 9*z + 384. Let h(n) = 226*n**3 + 40*n**2 - 14*n + 575. Let q(l) = 7*c(l) - 5*h(l). Find the second derivative of q(o) wrt o.
-438*o + 48
Let o(t) = 314*t**4 - 15*t**2 + 11. Let g(n) = 470*n**4 - 22*n**2 + 16. Let h(j) = -5*g(j) + 7*o(j). Find the third derivative of h(d) wrt d.
-3648*d
Find the second derivative of -57 + 522*f**2 + 237*f - 56 + 162 - 49 wrt f.
1044
Let l(c) = -3*c**3 + 8*c**2 - 38*c - 50. Let i be l(-26). Find the third derivative of a**4 - 41*a**3 + 59074 + 11*a**2 - i wrt a.
24*a - 246
Let v(i) = i**2 + 27*i + 58. Let z be v(-25). Differentiate -93 + z*s**4 - 3*s - 1929*s**3 + 1929*s**3 with respect to s.
32*s**3 - 3
Find the second derivative of 16241*o**2 - 1216*o**2 - 5706*o + 2869*o + 2846*o - 831 wrt o.
30050
Suppose 4*o + 3*l = -0*o + 88, 34 = 2*o - l. Suppose 16*t - o*t + 90 = 0. Find the third derivative of t*q**2 + 33*q**2 + 7*q**3 - 43*q**2 wrt q.
42
Suppose -6*m + 3*m = 2*a - 32, 3*a = 3*m + 18. Find the second derivative of 28098*g - 7*g**5 - g**2 - a*g**5 - 28092*g wrt g.
-340*g**3 - 2
Suppose 22*x = 5*x + 119. Find the second derivative of -44*c**2 - 23 - x*c + 13*c + 9*c + 26 wrt c.
-88
Suppose 12*w - 8*w + 12 = 2*b, -4*b - 3 = w. Suppose b*y - y = -7. Differentiate 17 - 5 + 15 - 4 + y*o with respect to o.
7
Let h(t) = -271*t**5 - 2*t**4 - 2*t**2 + 693*t - 2. Let w(m) = m**5 - m**4 - m**2 - 2*m - 1. Let p(u) = h(u) - 2*w(u). Find the second derivative of p(f) wrt f.
-5460*f**3
Let q = -2 + 107. What is the third derivative of 37*c**2 - 35*c**2 - 56*c**2 - q*c**2 + 3*c**3 + 4*c**4 wrt c?
96*c + 18
Let b(l) be the third derivative of 2797*l**8/336 + 53*l**5/10 - l**3/2 + 19*l**2 - 6. What is the third derivative of b(q) wrt q?
167820*q**2
Let g be 159 - (-8 - (-1 - 2)). Find the second derivative of g*a**3 + 11*a - 20*a - 35*a + 1 + 3*a**2 - 3*a**2 wrt a.
984*a
Let c(s) be the second derivative of 0 + 0*s**2 + 0*s**4 - 19*s - 34/3*s
|
{
"pile_set_name": "DM Mathematics"
}
|
/2000*2/(-3).
-49
Calculate ((-12)/(-220))/((-705)/(-987)*(-63)/(-30)).
2/55
What is -4*(2/3 - ((-17)/((-255)/760) - 28))?
88
What is the value of (1395/(-620))/(24/(-40))?
15/4
Calculate (58/(-261))/((-684)/162).
1/19
What is the value of ((-90)/40)/((-117)/(-24)*(21 + -18) + -15)?
6
Calculate (2/(-3)*(-756)/(-294))/((-6)/210).
60
(1 - 26/30)/(295/177 + -1 + 10)
1/80
(3/(-30))/((-5)/(-50)*29/(406/168))
-1/12
Evaluate 385/44*((-2660)/35)/19.
-35
Evaluate -672 + 674 + (-6 + 5)/(1/23).
-21
12/81*3 - (12/22 + (-1047625)/(-42075))
-25
Evaluate ((-3)/(-96))/(53 - 7360/138).
-3/32
Calculate (14/798)/(2/12)*(-9)/(6 + 3).
-2/19
(-1300110)/32465 - 4/(-86)
-40
What is the value of 35*((-6050)/385 - -16)?
10
What is the value of 84 + ((-190)/(-20))/(110/(-440))?
46
43467/159379 - (-39)/220
9/20
123/((((-1944)/(-24))/(-9))/(-1 - 2))
41
Evaluate (12/(-90) + 2056/(-30))/(41/(2706/44)).
-103
Evaluate (-596582)/3964*8/(-14).
86
Calculate -63*(4*(-236)/(-480) + 158/(-79)).
21/10
((-1328)/(-56) - 22)*49/105 - 60/25
-8/5
Evaluate (11 - (-18 - -19)*-16)*(-1)/1.
-27
Calculate 28652/40600 - (-10)/14 - (1 - 27/25).
3/2
Calculate ((-5909)/380 - -18) + (-51)/(-170).
11/4
What is the value of (-4)/(-2)*(-918)/(-108) + (-8120)/520?
18/13
Evaluate (((-174)/435)/((-13)/(-210)))/((-8)/52).
42
Calculate ((-23300)/(-200) + -116)*(-7 - -2)*5/1.
-25/2
What is 84/(-9)*-495*55/(-2420)?
-105
Calculate 2/5*115070/(-1244).
-37
(-64)/(-8)*((-2)/5)/((-442)/(-221))
-8/5
Calculate (-15)/(-19305)*-318 - ((-32)/52)/(0 - -2).
2/33
What is ((-30)/20)/(6*(-13)/1716)?
33
What is (90 - (-30981)/(-345))/((-110)/4)?
-2/275
(-1)/(-7) - ((-10)/(-168))/(-57*(-1160)/505818)
-5/16
What is the value of 2/1*(3/((-114)/(-133)) + 1)?
9
What is the value of (-48)/2 - (38 - 85 - 49)?
72
Calculate 36/234 - (-135961)/(-14833) - (-531)/59.
-2/163
Calculate ((-2427)/(-144) - 15/5) + 120/(-640).
41/3
What is the value of (16 - 3723/221)/(69/(-1794))?
22
Calculate (11*7/385*11)/((-1)/5).
-11
-95 - (-7 - 588/(11 - -17))
-67
Calculate 24/(-200)*(21 - 31).
6/5
What is 164/(-328)*(6 - (-1460)/(-230))?
4/23
What is 251 + 43142/(-159) - (10 + 1)?
-94/3
92888/29240 + -32*(-2)/(-20)
-1/43
Calculate ((-42)/(-2170))/((-42)/(-1953)).
9/10
What is (-374)/732*3 - 483/(-322)?
-2/61
(-400)/(-160)*(-3 + 3/120*122)
1/8
What is the value of (-1836)/13770 + ((-77)/(-15) - 1)?
4
2088*(-123)/129888 + (-4)/(2/(-1))
1/44
(6 - 460/75) + (-43)/15 - (2765 - 2851)
83
Calculate ((-174988)/9840)/97 - 4/(-30).
-1/20
(-1)/(6/(-90)) - (-36 - 432/(-16))
24
Calculate ((-19)/38)/(322/(-4)*96/(-672)).
-1/23
What is -55*(18/60)/((-9)/6) - 38?
-27
What is 1253/77 + -1 - ((-4)/9 + (-780)/(-54))?
14/11
What is the value of (3250900/(-9048))/(-59) + 1/13?
37/6
(-25 - (14616/(-490) - -5))/((-45)/84)
8/25
What is (-159106)/135090 + 22/30 + 11/(-33)?
-7/9
Evaluate 6/(-4)*((-109)/5 + 220 + -198).
-3/10
(59 - 64 - (1 + -1 + -24))/(245 - 244)
19
Calculate 30 + (84 - ((-240)/(-6) - 57)).
131
3552/(-222) - (-652)/40
3/10
What is (-1350)/5400 - (254/8 - -2)?
-34
What is (-1365)/3094*52/78?
-5/17
20 + -6 + -20 - ((-1416)/96 + 12)
-13/4
What is the value of (-16)/((-80)/(-75)) + 171 + -147?
9
What is the value of (-72)/96 + ((-12243)/(-588))/11?
8/7
What is (-45)/(-10)*((-2872)/(-72) + -31)?
40
What is the value of (6 + (-3 - 86))/2 - (-7)/14?
-41
Evaluate (2208/1100 - 2)/((-8)/5 - (-2097)/1165).
2/55
45588/17168*37 + (-21)/(-12)
100
Evaluate (779/492)/((-380)/(-60)).
1/4
(352/48)/((-232)/(-348))
11
What is the value of -13 - (((-213620)/1320 - -162) + (1 - (-3649)/(-258)))?
-1/43
Calculate (23 - 56)*((-10)/(-3) + -2).
-44
What is the value of (-20)/14 - 15836735/(-280651)?
55
Evaluate 8*1*-1*(6031/(-74) - -82).
-4
What is (-10)/(-13)*(-76518)/(-4905)?
12
Calculate (-2)/(-8) - (-70)/8 - (-168 + 167688/959).
15/7
What is (-4 + (1380/55 - 21))*44*31/2?
62
Evaluate 492/4 + (2 - -23 - (33 + 0)).
115
Calculate (-798)/14 + -11*21/7.
-90
What is the value of 4/(-33) + (-783250)/(-268125)?
14/5
Calculate (18/(-10))/(-14 + (-2301)/(-165)).
33
((-24)/15)/(4396/49455)
-18
Evaluate (6/(-36)*3 - -2)/(942/25120).
40
Calculate ((-21)/(-6))/(6741/321 - (-166)/(-8)).
14
Evaluate (-10 - -2)*7/(-42) - 412/48*1.
-29/4
What is 73 + -118 - (4 + 6)?
-55
((0 + 2)/(6*(-29 + 19)))/((-6)/24)
2/15
50/(-15)*(-124)/(-155) - 28/12
-5
(5 - (-9639)/(-2070)) + (-2 - 14)/368
3/10
What is ((-474)/(-2370))/(2/490)?
49
(15/10 - 2/(-4))*(7128/(-10224))/99
-1/71
What is (25 - (-4 + 67)) + (2 - 1)?
-37
What is (-145)/5 + -14 + 3576/84?
-3/7
What is (4 - 1) + 12 - (-123006)/(-8151)?
-1/11
What is (37 + 13064/(-276))/((-2)/(-6))?
-31
Calculate 88/132 + 1280/(-30).
-42
9322/8690*(-209)/(-152)*8
59/5
(-25)/((-700)/672) - (-23647)/(-986)
1/58
What is the value of 40/2*68/(-51)*3/(-2)?
40
What is the value of 0/29 - 22 - (-291)/9?
31/3
What is 40 + (5 - 2)/(84/(-644))?
17
What is 6/(396/66)*(2 + -2 - 37)?
-37
Evaluate 258/39130*35 + (-326)/1469.
1/113
What is (13 + (-2211)/168)*(-37 - (-7328)/192)?
-3/16
What is (12 + 116900/(-1320) - 10/(-12)) + 9/(-33)?
-76
Evaluate (-26976)/(-22480)*5/(-32).
-3/16
Calculate 13/65 + (-2101)/(-8595).
4/9
Evaluate (701879/(-152))/41 - (-380)/608.
-112
Evaluate (24/11)/((-730)/12045) - -130.
94
Evaluate 87 - 223/(26760/23520).
-109
What is 2358/917 - (-66)/7?
12
(48880/7943)/(3 + 1)
20/13
Calculate ((-3)/(-9) + (-595)/1020)*4.
-1
((-315536)/(-26936))/(2/(-7))
-41
(-1490)/65 - -4 - (442/338)/17
-19
What is ((-34)/(-1292))/((-140)/665)?
-1/8
Calculate (31*(-7911)/45415)/((-48)/(-10)).
-9/8
Calculate (550496/(-516090))/(((0 - 3)/(-9))/((-1)/2)).
8/5
Evaluate (0 + -1 + 0/(-4))/(11515/882 + -13).
-18
What is ((-969)/306)/((-94848)/13824)?
6/13
Calculate 54342/(-72456) - 90/8.
-12
What is (0 - 4/68)/(-26 - (-5292)/204)?
1
What is ((-15)/(-30) - (-12)/1560*-5) + 160/(-403)?
2/31
Evaluate 4/(64/(-36)) - (-2487)/(-3316).
-3
What is the value of ((-3)/(-126)*58 + (-65)/195)/((-48)/(-72))?
11/7
Calculate ((-9)/(-63)*49/(-112))/1.
-1/16
What is (3/5 - (-2322)/(-1350))/(7 - 495/75)?
-14/5
Calculate (885/(-12))/((-36)/((-19296)/(-670))).
59
What is the value of ((39/(-130))/((-12)/(-8)))/((1375/(-44))/25)?
4/25
What is -234 + 251 - (87/15)/(13/130)?
-41
What is 25/(-225)*-117 - (73 + -16)*(-87)/(-381)?
-2/127
Calculate 1794/(-12) + 151 + 3*3.
21/2
What is the value of ((-9)/(351/325))/((-43)/45 - (-168)/420)?
15
What is 8/(-6) - -1 - (-25)/(-86775)*-1079?
-2/89
What is the value of -5 + 2/(-6)*(-12036)/(-118)?
-39
Calculate 9 - (22 + -76 - -14).
49
Calculate 141*(-31 + (-7293)/(-234)).
47/2
What is 4/(-20) - 94923/2985?
-32
Calculate -1*(-78)/(-13) + (-121)/11.
-17
Evaluate (-274)/3770 - (-465)/(-89900)*-20.
2/65
Evaluate (696 - 655) + (-131)/3.
-8/3
What is the value of -16*(-7 + (-8096)/(-1152))?
-4/9
What is 27388/(-205) + 134 + (-436)/(-10)?
44
Evaluate ((-20)/(-15) - 500/(-12)) + 2079/297.
50
Evaluate 3/1 + (-49 + -52 - -53).
-45
Evaluate ((-19 - -7)*(-12)/(-168))/(3/14).
-4
Evaluate (30/99)/5*(-13 - (-119)/9)*-27.
-4/11
378/(-3780) + 1656/560
20/7
What is the value of (-229356)/(-7756) + -1*29?
4/7
Evaluate 1/8 - 1480690/(-45040).
33
What is the value of ((-10)/(-275))/(0 + 12 + 1527827/(-127260))?
-72/11
What is 39862*78/1034436 - (3 + 0)?
2/349
What is the value of (-6 - 29)*(-14)/(-23 - -9)?
-35
(9/(-27) - (6 - (-440)/(-15))) + 4
27
What is the value of 1872/(-2288)*(-110)/(-12)*(-16)/12?
10
What is the value of 52 + -104*(-59)/(-236)?
26
What is the value of -235 - 182*(-180)/280?
-118
What is ((-4)/20*-56)/(1612/10075)?
70
(-2)/(112/(-4)) + (340835/(-6930) - -48)
-10/9
Calculate (220/(-45))/(-22) - 873/2835.
-3/35
804/6231*(11/(-2) + 5)
-2/31
What is the value of (-3882)/57 + 5*(-27 + 43639/1615)?
-68
Evaluate -69 + (1875/(-1125)*1*-5 - 6/(-9)).
-60
Evaluate 90/(-10) + 61/(-183)*(-3)/2*-2.
-10
Calculate (75/810*18)/(2400/(-477) - -5).
-53
What is -4*((-990)/60 + (17 - 19))?
74
Evaluate (6566/(-201) - -58)/(6/9).
38
What is ((-22)/154)/(14 - 1336/96)*322/4?
-138
Calculate ((-5945)/(-348))/205*(11/(-3) - -1).
-2/9
What is the value of (35 + -53)/(-6 - -3)?
6
Calculate (3 - -7)*((-48 - -32) + 17).
10
What is the value of (-1180)/2419*(-14 - 27)?
20
Calculate ((-36)/(-189)*7)/(-7 - (-858)/18).
2/61
What is 1506/(-24849)*1/(40/(-15))?
1/44
What is the value of -10 + (0 + -66 + 7
|
{
"pile_set_name": "DM Mathematics"
}
|
Round j to 2 dps.
0.02
Let w = -366 - -65. Let c = 302.57 + w. What is c rounded to one dp?
1.6
Suppose -5*r - 761 + 46 = 0. What is r rounded to the nearest one hundred?
-100
Let a = -13.01066836 - -7.0106692. Let w = -6 - a. What is w rounded to 7 dps?
-0.0000008
Let i = 2 - 1.99999956. Round i to 7 decimal places.
0.0000004
Suppose -4*k = 3*j + 167716, -2*j + 2*k + 0*k = 111792. What is j rounded to the nearest 10000?
-60000
Let t = 12 - 11.95. Let q = t - 0.0500006. Round q to seven decimal places.
-0.0000006
Let d = -275203.39999984 + 275203.7. Let n = d - 0.3. Round n to seven decimal places.
0.0000002
Let f(w) = 97611*w**3 + 2*w**2 + 2*w - 3. Let k be f(3). Let y be 2 + -2 + -3825520 + 2. Let r = k + y. What is r rounded to the nearest 100000?
-1200000
Let s = 0.168 + -0.1680101. What is s rounded to six dps?
-0.00001
Let s = 113.5 - -30.5. Let y = s - 143.9999939. Round y to 6 decimal places.
0.000006
Let f = 14 - 8. Let z be (2048/f)/((-3)/1125). What is z rounded to the nearest ten thousand?
-130000
Let x = 12 + -12.85. What is x rounded to one dp?
-0.9
Let y = 11778.06 + -11780.059974. Let i = 2 + y. Round i to five decimal places.
0.00003
Let w = -3.07 - -0.07. Let z = -71441687.00000024 - -71441684. Let b = z - w. What is b rounded to seven decimal places?
-0.0000002
Let u = 1.16 - -0.04. Let n = u - -7. Let o = -11.9 + n. Round o to 0 decimal places.
-4
Let c = -0.15 - 9.85. Let d = 9.99999996 + c. What is d rounded to seven decimal places?
0
Let p = -94 - -94.23. What is p rounded to one dp?
0.2
Let y = 58478605339.1 + -58496037555.09933. Let w = -17432333 - y. Let b = w - -117. Round b to 4 decimal places.
-0.0007
Let o = -49.91 - -49. Let p = -195090787 + 195090787.91000067. Let x = o + p. Round x to 7 decimal places.
0.0000007
Let x = -2282 - -2279.598. Let n = 2.2022 + x. Let k = 0.2 + n. Round k to four dps.
0.0002
Suppose 210 - 1146 = 4*w. What is w rounded to the nearest ten?
-230
Suppose -a + 156 = 5*x, 0 = -4*x - 4*a - 0*a + 128. Suppose i - 2*v = 2*i - x, -i + 27 = -2*v. What is i rounded to the nearest 10?
30
Let t(z) = z + 2. Let h be t(-2). Suppose 4*u + 12508 = -h*u. Let x = u + 2197. What is x rounded to the nearest 100?
-900
Let r = 1.54 - 0.24. Let m = 1.284 - r. What is m rounded to 2 decimal places?
-0.02
Let h = -1.49 - -1.4782. What is h rounded to three decimal places?
-0.012
Let o = -2.01 + 2.3. Let i = 0.28967 - o. What is i rounded to four decimal places?
-0.0003
Let u = -31.000097 - -31. Round u to 5 dps.
-0.0001
Let z = -1.3891 + 2.18902. Let m = 0.8 - z. Round m to five decimal places.
0.00008
Let u be ((-6)/10)/((-2)/30). Let i(c) = 117*c**3 + 8*c**2 + 6*c + 5. Let b be i(u). Round b to the nearest ten thousand.
90000
Let w be (-13)/6 - 2/(-12) - -36002. What is w rounded to the nearest 10000?
40000
Let u = -1.3 - -1.31. Round u to two decimal places.
0.01
Let j = -0.496 + 0.066. Let q = 31921.117 + -31920.68700038. Let a = q + j. Round a to 7 dps.
-0.0000004
Suppose 347 + 1327 = 9*z. What is z rounded to the nearest 10?
190
Let t = -2.94 - -2.7. What is t rounded to one dp?
-0.2
Suppose -4*w = l - 48800033, -5*w + l = -0*w - 61000039. Suppose 0 = -2*x - 4*g - w, 0*x - x - 6100006 = 3*g. What is x rounded to the nearest one million?
-6000000
Let w = 59 + 129. Let a = 25.4647 - 213.4564. Let x = w + a. Round x to three decimal places.
0.008
Suppose 1893 = r - 127. What is r rounded to the nearest one hundred?
2000
Let x = -42.900181 - -42.9. What is x rounded to five decimal places?
-0.00018
Let l = 357.30259 - 357.4. Let u = l - -0.098. What is u rounded to four dps?
0.0006
Let b = -12 - -19. Suppose 11 = 2*i - b. What is i rounded to zero decimal places?
9
Let o = 198.00000388 + -198. What is o rounded to seven decimal places?
0.0000039
Let m = 0.5 - 0.492. Let o = -0.00769 + m. What is o rounded to four dps?
0.0003
Let u = -11.04 + 10.243. Let v = u - -0.72. Round v to 2 decimal places.
-0.08
Let g = -212.6 - -30.6. Let u = 17692.7 + -17874.506. Let t = g - u. Round t to two decimal places.
-0.19
Let h = 0.8669 - 0.86. What is h rounded to three decimal places?
0.007
Let l = 30 + -30.17. Let u = -0.19 + l. What is u rounded to 1 decimal place?
-0.4
Let w = 6 + -1. Suppose 2*m + 2644148 = -5*y + 24644128, 54999984 = w*m + 4*y. What is m rounded to the nearest 1000000?
11000000
Let v = -1.3 + 2. Let t = 0 + v. What is t rounded to 0 dps?
1
Let j = 0.41756539 - 86.55059839. Let b = j - 0.000967. Let s = -86 - b. Round s to two decimal places.
0.13
Let t = 3786273328 + -3786273366.00000067. Let a = -38 - t. What is a rounded to 7 dps?
0.0000007
Let a = -0.970206 + 0.97. What is a rounded to four dps?
-0.0002
Let d = 2.9 - 0.5. Let g = 2.40088 - d. Round g to four decimal places.
0.0009
Let q(t) = -2710*t**2 + 26*t - 30. Let f(p) = 1807*p**2 - 17*p + 20. Let w(r) = -7*f(r) - 5*q(r). Let b be w(10). Round b to the nearest 10000.
90000
Let r = -211.74 + 251. Let t = 80 + -120. Let b = t + r. Round b to 1 decimal place.
-0.7
Let s = -52 + 52.31. Let k = 4.1 - 4.76. Let o = s - k. What is o rounded to 1 dp?
1
Let y = 10203.241 + -10114.3. Let m = y + -89. What is m rounded to 2 decimal places?
-0.06
Suppose 4*h = -3*x - 3030004, -x + 3*x + 2020004 = -4*h. What is x rounded to the nearest 100000?
-1000000
Let n = 6.9 + -7. Let h = -0.5 - n. What is h rounded to the nearest integer?
0
Let h = -250 + 250.000161. What is h rounded to 5 decimal places?
0.00016
Let u(j) = -3299*j - 6. Let f = 0 + 6. Let b be u(f). What is b rounded to the nearest one thousand?
-20000
Let x = -3668 + 3619.942. Let y = 80 - 32. Let u = x + y. Round u to 2 decimal places.
-0.06
Let o(q) = -q + q + 0*q + q. Let b(r) = 539*r - 1. Let s(k) = -5*b(k) - 20*o(k). Let w be s(7). What is w rounded to the nearest ten thousand?
-20000
Let z = 0.01701242 + -7.01700282. Let r = -7.4 + 0.4. Let s = r - z. Round s to six dps.
-0.00001
Let m = 7 + -10. Let r(g) = -3 + 0*g**3 + 5 - 2*g**3 + g**2 + 2*g + 1. Let f be r(m). Round f to the nearest one hundred.
100
Let s = -12934.59 + 13024. Let j = s - 90. What is j rounded to 1 decimal place?
-0.6
Let q = -0.19 + -19.81. Let s = q + 6. Let g = -13.9999991 - s. What is g rounded to seven decimal places?
0.0000009
Let v = 105 - 274. Let u = v + 168.999877. Round u to five decimal places.
-0.00012
Let z = 453 - 450.87. Round z to one decimal place.
2.1
Let i = 31566.00048 - 31561. Let a = i + -5. What is a rounded to four dps?
0.0005
Let u be -2 + (3/3 - -6). Suppose -u*d - 10 = -4*s, -3*d + 11 + 0 = s. Suppose -1922241 - 3127759 = -s*b. What is b rounded to the nearest one hundred thousand?
1000000
Let g = 21.75 - -0.25. Let l = g + -16. Let p = -5.68 + l. Round p to one decimal place.
0.3
Let i = -2.76 + 1.75. Let c = -2.3 + 1.82. Let h = c - i. Round h to 1 dp.
0.5
Let x = 1.1 + -2.67. Let r = -1.5787 - x. What is r rounded to 3 decimal places?
-0.009
Let f = -28701997 - -28701980.076597. Let j = f + 101.923305. Let o = j - 85. What is o rounded to 5 decimal places?
-0.0001
Let x = -0.04968 - -0.05. Let q = 0 - x. What is q rounded to four dps?
-0.0003
Let v = -3.05 - -0.05. Let f = v - -9. Let s = f + -6.0002. Round s to four dps.
-0.0002
Let v(c) = -3*c**3 + 3*c**2 + 3*c + 2. Suppose 3*m + 4*k = -10 + 2, -2*m + 4*k + 28 = 0. Let y be v(m). Round y to the nearest ten.
-130
Let q(s) = 86*s**2 + 2*s. Let x be -4*-3*3/4. Suppose 35 = 4*a - x*a. Let u be q(a). What is u rounded to the nearest 1000?
4000
Suppose -6*t - 2*t - 40000 = 0. What is t rounded to the nearest one thousand?
-5000
Let x = -14.9999985 - -15. Round x to six dps.
0.000002
Let p(k) = 720000*k. Suppose 0 = -4*w + 5 - 25. Let r be p(w). Round r to the nearest 1000000.
-4000000
Let b = -127623604 - -127623590.00000025. Let m = b + 14. Round m to 7 dps.
0.0000003
Let d be (-9*(-1)/2)/((-2)/(-348)). What is d rounded to the nearest one hundred?
800
Let v = -23.16 - -0.16. Let p = -23.000068 - v. What is p rounded to 5 dps?
-0.00007
Let m = 89.68 + -91. What is m rounded to 1 decimal place?
-1.3
Let x = 3 + 8. Let c = 10.9992 - x. What is c rounded to 3 dps?
-0.001
Let v = 0.032 + -0.03074. Round v to four decimal places.
0.0013
Let m(g) = -201*g + 2. Let j be m(4). Let d = j + 372. Round d to the nearest one hundred.
-400
Let s be ((-
|
{
"pile_set_name": "DM Mathematics"
}
|
4*o. Is b prime?
False
Let m = 15 + -16. Let d(o) = -878*o**3 - o**2 - 2*o - 2. Is d(m) a composite number?
False
Suppose -3*p = 2*p - 67215. Is p composite?
True
Let l be 17/(-4)*(-9 + 13). Is (-10 - l)/((-2)/(-34)) a prime number?
False
Let i(b) = -b**3 + 11*b**2 + 3. Let g be i(11). Suppose -g*f + 56 = f. Let l = 451 - f. Is l prime?
False
Suppose 0 = -4*c + 20 + 12. Let p = c + -3. Suppose -h + p*h - 2980 = 0. Is h a composite number?
True
Let f(h) = -6132*h**3 - 2*h**2 + h**2 + 7 + 6144*h**3 - h. Is f(3) a prime number?
False
Suppose 10*r - 5*b + 8949 = 13*r, 2*b = 0. Is r composite?
True
Suppose -4*n = -m + 4769, 5*n - 2*n + 15 = 0. Is m prime?
False
Let q(f) = 3*f**3 + 7*f**2 - 17*f**2 + 11*f**2. Let s be q(1). Suppose -3270 = -s*b - 5*y, 0*b + 5*y = 2*b - 1620. Is b prime?
False
Let s(x) = -x**2 - x + 43. Let o be s(6). Let m(l) = 3115*l - 6. Is m(o) composite?
False
Suppose 35*k - 114863 = 282422. Is k composite?
False
Let h be 3 - (2 + 6/3). Let g(p) = 3*p - 7. Let o(x) = 1. Let v(t) = h*g(t) - 6*o(t). Is v(-7) prime?
False
Let a be (-2)/(-2)*(-2)/((-2)/23). Suppose 20*z + 1311 = a*z. Is z prime?
False
Let p(v) = v - 1. Suppose -3*a - 24 = -a - 5*b, -6 = -a - 2*b. Let r be p(a). Is (-7826)/(-8) + r/(-4) composite?
True
Let v be (2/1)/((-8)/(-12)). Suppose v*a - 5*c = 4*a - 1950, -4*c = -a + 1977. Suppose 3*m = 0, 3*i + 5*m - a = 2*m. Is i a composite number?
True
Suppose -43633 = -34*n + 103893. Is n composite?
False
Suppose 3*a - m - 23 = -4, -4*a + 23 = m. Is (a/2)/12 - (-2630)/8 composite?
True
Let t = -4 + 6. Suppose -8 = -t*m, 0*w - 5*m = -w + 107. Is w a prime number?
True
Suppose -d - 4*z + 7*z + 3404 = 0, 4*z - 16925 = -5*d. Is d composite?
False
Suppose 12*c - 13484 = 97168. Is c prime?
True
Suppose -5*s = 4*l + 12, 3*s - 1 + 5 = -4*l. Suppose -l = -5*d + 2*n - 4, 2 = 4*d + 2*n. Suppose -4*a + 9*a - 5965 = d. Is a prime?
True
Let y(l) = 24*l**2 - 6*l + 67. Is y(13) composite?
True
Suppose 4*k = -4*o + 332, 7*o - 8*o = -5*k - 95. Is o composite?
True
Let n(x) = -10*x**3 - 12*x**2 - 39*x + 133. Is n(-22) composite?
False
Let y = -58 - -138. Let u = y + -23. Is u composite?
True
Let r = 5 + -1. Suppose -r*g = g. Suppose g = z + z - 838. Is z a prime number?
True
Let v(u) = -185*u**3 + 3*u + 3. Let j be v(-2). Let f = -266 + j. Is f a composite number?
True
Suppose 0 = -23*l + 100468 - 22061. Is l prime?
False
Let i = -60 + 63. Suppose 0 = i*k - 28 - 5. Is k composite?
False
Suppose 3*d - 15696 - 10721 = 4*u, 4*d = 3*u + 35218. Is d prime?
True
Suppose 0 = -y - 2, 53845 = -4*z + 9*z + 5*y. Is z composite?
False
Let s(y) = 27 - 7*y - 22 - 2*y - 19*y**2. Let b(k) = 4*k**2 + 2*k - 1. Let a(h) = 11*b(h) + 2*s(h). Is a(-7) a prime number?
False
Suppose 1125 = 2*g + t, -g - 2*t = -0*g - 564. Suppose j + 0*j - 451 = -4*x, 0 = 5*x + 3*j - g. Is x composite?
False
Suppose 20 = -4*p - p. Is (136/(-4) + p)/(-2) composite?
False
Suppose -450 = -17*b + 14*b. Is (b/(-8))/(3/(-60)) - -2 a composite number?
True
Let o(t) = 21*t**2 + 10*t + 1. Suppose -5*q = -15, -27 = 4*r + 2*q - 3*q. Is o(r) composite?
True
Suppose -5*x = -7 - 13, -3*r = 2*x - 5159. Let q = 2994 - r. Is q a composite number?
False
Let i = -10 + 15. Suppose -i*s = -5*d - 190, 3*s + 4*d - 107 = -0*d. Is s a composite number?
False
Suppose -3*i + 2*o = -16034, 8*i - 7*i - 5350 = 2*o. Is i a prime number?
False
Suppose 4*k - 30791 = 20693. Is k a composite number?
True
Is 15 + -15 - (3 + 1*-2132) prime?
True
Let i(s) be the first derivative of -116*s**2 + 9*s + 2. Let o be i(-6). Suppose -o = -2*h - h. Is h a prime number?
True
Is (-1451193)/(-212)*(-4)/(-3) prime?
True
Let c = 87169 - 59814. Is c prime?
False
Suppose 4*m = 4*l - 1152, -2*l + 293 = -m - 0*m. Let p = -165 - m. Is p a prime number?
False
Let y(u) = 10*u + 8. Suppose -5*d = 2*i - 0*i - 31, 5*d = -i + 23. Let b be y(i). Suppose 2*x = -0*z + 2*z - b, 0 = -2*z - 5*x + 102. Is z composite?
True
Let l(s) be the first derivative of 130*s**3/3 + s - 7. Is l(-3) a prime number?
True
Let p = -47 + 127. Suppose 243 = 223*f - 232*f. Let i = p + f. Is i a prime number?
True
Suppose -6*d - 614 + 3440 = 0. Is d composite?
True
Let r(h) = 2*h + 36. Let j be r(-16). Suppose -j*p = 9*p - 481. Is p a composite number?
False
Let c(w) = -108*w + 16. Let j be c(-8). Suppose -875 - j = 3*a. Let u = a - -1628. Is u composite?
True
Let s = 157 - -514. Let q = 1636 - s. Is q a composite number?
True
Suppose -4*d + d + 21 = 0. Suppose u - 16 = -5*k + d, 4*k + u - 19 = 0. Suppose -555 = -5*l + k*y, 3*l = 2*y + y + 330. Is l composite?
True
Let m(c) = -c**2 - 7*c - 5. Let y be (-46)/10 + 8/(-20). Let b be m(y). Suppose -x - b*r = -31, -3*x = 4*r - 164 + 38. Is x composite?
True
Suppose -q + 35105 = 5*t, 5*q + 29472 = 4*t + 1417. Suppose 0 = -5*j - 15, 5*h - 2186 - t = -3*j. Is h a composite number?
True
Suppose 2*g = g - 4. Let y = 11 + g. Is y a prime number?
True
Suppose -110*w + 1241867 = -949223. Is w composite?
False
Suppose -4*b - 5 = g, g - 2*g = -5*b + 5. Let m(i) = b*i**2 + 19*i**2 + 10 - 2 - 4*i. Is m(-5) a prime number?
True
Suppose -10*d + 4041 = -d. Is d a composite number?
False
Let z be 14/(-28) - (-827)/(-2). Let o = z - -1667. Is o a prime number?
False
Is -7 - (20206/10 + 5)*-10 composite?
False
Let d(q) = q**2 - 11*q - 4. Let l be d(11). Let f(v) be the second derivative of -5*v**3/3 - 5*v**2/2 + 5*v. Is f(l) prime?
False
Let j(w) = 11*w**2 + 3*w - 35. Is j(-12) composite?
True
Suppose 30 = 2*u - 66. Let r = -67 + u. Let t = 58 + r. Is t composite?
True
Let b(w) = 3*w**2 - 12*w + 18 + 9*w - 19. Is b(-3) a composite number?
True
Let h be (-6)/(-8) + (-218)/(-8). Let x = 31 - h. Suppose -x*r + 201 = 36. Is r a prime number?
False
Suppose 4*q - 3737 = -5*s, 0*s = -4*s - q + 2983. Is ((-28)/(-10))/(2/s) a composite number?
True
Let l(m) = 237*m - 1. Suppose 0 = -4*c - 0*c - 8. Let u(z) = -236*z. Let i(y) = c*u(y) - 3*l(y). Is i(-2) a composite number?
True
Let f be ((1925/(-10))/11)/((-2)/44). Suppose 0 = -2*u + 697 + f. Is u prime?
True
Let s = -428 - -600. Let x = s - 75. Is x a prime number?
True
Suppose -4*r - 12 = -3*m - r, -3*r + 12 = m. Suppose o - 1887 = -4*d, d + 2*o + 2349 = m*d. Is d a composite number?
True
Let f(j) = 15*j - 13. Let k(i) = -4 - i + 1 - 1. Let u be k(-10). Is f(u) prime?
False
Suppose -6477 = -6*r + 26601. Is r prime?
False
Let n(d) be the second derivative of 35*d**4/6 - 2*d**3/3 - 17*d**2/2 - 4*d + 3. Is n(-5) prime?
True
Let l(n) = 20 + 9*n - 9 - 12. Is l(18) a composite number?
True
Let c(y) be the third derivative of -1/6*y**4 + 1/10*y**6 + 0 + 1/20*y**5 + 1/2*y**3 + 8*y**2 + 0*y. Is c(2) a composite number?
False
Let k = 654 - -1445. Is (-5 + -1)*10/15 + k a composite number?
True
Suppose -2*d = -5*d - c + 824, 0 = -5*d + 4*c + 1379. Suppose -280 = -3*l + d. Is l composite?
True
Is -1*((-83925)/2 - (-9)/(-18)) a composite number?
True
Let w = 1319 + -21. Suppose 3*t = -3*y + 780, 3*t = -9*y + 4*y + w. Is y a prime number?
False
Let t(y) = 20*y - 1. Let v(m) = -m**3 + 12*m**2 - 10*m - 8. Let f be v(11). Is t(f) prime?
True
Suppose -u - 2*u - 3*q = 6, -2*u + 8 = -q. Let v be u/3*6/2. Is 4*23 - (v - 1) a prime number?
False
Suppose 0 = 756*f - 751*f - 19715. Is f a composite number?
False
Let f be -1*3 - (-20)/4. Suppose -a = 4*j - 65354, f*a = -j - 0*a + 16342. Is (2/3)/(28/j) a composite number?
False
Let k = 67 + -71. Is (k + (-75)/(-10))*46 a prime number?
False
Let b = 831 - -2468. Is b composite?
False
Let r(x) = 8*x**2 - 9*x - 39. Is r(-52) a composite number?
True
Suppose 0 = 6*b - 701 - 1333. Is b a composite number?
True
Suppose 5*d - 976 = -2*s + 6827, 7783 = 5*d - 3*s. Is d composite?
False
Let x(r) = 157*r - 2. Let a(o) = o - 15. Let k be a(16). Is x(k) a composite number?
True
Let d = -402 - -48. Let s = -521 - d. Let h = s - -280. Is h prime?
True
Suppose -5*i + 8256 = v, -3*i = -8*v + 4*v + 33047. Is v composite?
True
Is (-19790)/(-6 + 28/7) composite?
True
Let c = 15 - 243. Let d = -110 - c. Is d a composite number?
True
Suppose 2*w - 24 = w + f, 0 = -4*w + 2*f + 86. Suppose -22*x = -w*x - 573. Is x a composite number?
False
Let k = -85 - -80. Is (-2 - 0)/2*(-1596 + k) a composite number?
False
Let n(k) = -30*k - 63. Let m be n(-16). Let f = -208 + m. Is f a composite number?
|
{
"pile_set_name": "DM Mathematics"
}
|
14 - 2. Suppose -j = i*j. Calculate the remainder when 29 is divided by c(j).
9
Let v(k) = -8*k**2 + 1. Let x be v(1). What is the remainder when 3 + 2/(-2) - x is divided by 2*1 + 1 + 2?
4
Let v = 109 + -95. Calculate the remainder when 54 is divided by v.
12
Let f(u) = -u + 22. Let w be f(18). Suppose 4*t - 64 = -w*c, 0 = -5*c + 4*t + 12 + 32. Calculate the remainder when 45 is divided by c.
9
Let d = -42 + 66. Suppose -3*c + 0*o + d = -5*o, 33 = 3*c - 2*o. Calculate the remainder when 49 is divided by c.
10
Suppose -d + 6 = 2, 14 = 3*c + 2*d. Suppose -2*q + 56 = c*q. Calculate the remainder when 26 is divided by q.
12
Let l(p) = p - 4. Let k be l(7). Suppose 0*h = k*h - 12. Let w(s) = 2*s - 5. Calculate the remainder when w(6) is divided by h.
3
Suppose 5*q - 4*x = 365, q - 4*x = 15 + 42. Calculate the remainder when q is divided by 40.
37
Let m be (-1 + 1)/(-1 - -3). Suppose 3*j - 16 + 1 = m. Calculate the remainder when j is divided by 3.
2
Let h(m) = 2*m**2 + 6*m - 14. What is the remainder when h(6) is divided by 16?
14
Suppose -2*q - 56 = -3*l, l - q = 6*l - 115. Suppose 2*t + t - 24 = 0. Calculate the remainder when l is divided by t.
6
Suppose 3*o = 0, 2*i + 3 + 7 = 3*o. Let u = 11 - i. Calculate the remainder when 31 is divided by u.
15
Suppose 6*l - 8*l + 24 = -x, 3*x - 49 = -5*l. What is the remainder when l is divided by 4?
3
Let o = -31 + 46. Suppose 4*c - 20 + 4 = 0. What is the remainder when 31 - (1 + c - 3) is divided by o?
14
Let y(c) = -c**3 + 4*c**2 + 6*c - 4. Let d = -5 + 3. Let h be (-1)/(d*2/16). Calculate the remainder when y(h) is divided by 11.
9
Suppose 0*t = 3*t - 9. Suppose l - 4 = -t*u, 1 - 3 = -4*u - 3*l. What is the remainder when 9/(-2)*20/(-30) is divided by u?
1
Let l be 32*(0 - (-6)/(-8)). Let r = -9 - l. Calculate the remainder when 27 is divided by r.
12
Let q(u) = 135*u**2 - 7*u - 8. Calculate the remainder when q(-1) is divided by 45.
44
Let h = 39 - 32. Calculate the remainder when 10 is divided by h.
3
Suppose 3 + 35 = 2*x. Let o(s) = -s**2 + 16*s - 8. What is the remainder when o(8) is divided by x?
18
Let t = -17 - -37. What is the remainder when 37 is divided by t?
17
Let r(c) = 15*c + 1. What is the remainder when r(3) is divided by 8?
6
Let t(s) = 124*s**3 - 2*s**2 + 1. Calculate the remainder when t(1) is divided by 25.
23
Let r(k) = 3*k. Let i(m) = 10*m + 1. Let z(g) = -3*i(g) + 8*r(g). Calculate the remainder when (-60 + -2)/(-2 - -1) is divided by z(-4).
20
Let g = 17 + -25. Let d = g + -1. Let y(b) = b**3 + 9*b**2 + 6. What is the remainder when 10 is divided by y(d)?
4
Let b(f) = -f**3 + 4*f**2 + f - 2. Let u be b(4). Let k = -2 + 4. Suppose 3*l = -k*j + 64, -u*j = l + l - 46. What is the remainder when 53 is divided by l?
17
Let d(j) = 13*j + 1. Let v be (-4)/6 - 33/(-9). Let i(z) = -2*z**2 - 28*z - 12. Calculate the remainder when d(v) is divided by i(-13).
12
Let m = -17 - -38. Calculate the remainder when 81 is divided by m.
18
Let v be 0/((-6)/9*3). Suppose v*n - n = -32. Calculate the remainder when n is divided by 11.
10
Suppose -o = 3*o + 5*w - 145, 2*w + 206 = 5*o. Calculate the remainder when o is divided by 7.
5
Suppose -s + 38 = n, 3*s + 2*n - 108 = n. Calculate the remainder when s is divided by 20.
15
Let z = -8 + 8. Suppose 2*y + 3*y - 405 = z. Suppose 5*c = 9 + y. Calculate the remainder when 52 is divided by c.
16
Let q(l) = 2*l**2 + 10*l + 14. What is the remainder when 39 is divided by q(-5)?
11
Suppose -4*o + 353 = -203. What is the remainder when o is divided by 36?
31
Let o(c) = c**3 - 7*c**2 + 2*c - 7. Let k be o(6). Let n(u) = 5*u**2 - u + 2. Let d be n(3). Let r = d + k. Calculate the remainder when 38 is divided by r.
12
Suppose -3*r = r - 12. Let q(w) = w - 2*w**2 + w**2 + 3*w + 2*w. Calculate the remainder when q(5) is divided by r.
2
Let z(d) = -d**3 + 12*d**2 + 15*d - 22. What is the remainder when z(13) is divided by 1?
0
Let r(z) = 2*z**2 - 14*z - 42. What is the remainder when r(-8) is divided by 50?
48
Let k(x) be the second derivative of x**5/20 + 7*x**4/12 - 11*x**3/6 + 5*x**2/2 + x. Let p = -7 + 17. What is the remainder when k(-8) is divided by p?
9
Suppose 4*x = 2*x + 46. Let o = 8 + -5. Suppose i + o*i - 48 = 0. What is the remainder when x is divided by i?
11
Let f = 6 + 31. Suppose -5*j = -4*n + 166, -n + 3*j + f = 4*j. What is the remainder when n is divided by 14?
11
Let c be (-15)/(-6)*(-8)/(-5). Suppose -2*x = -w - 38, -4*w = -c*x - w + 76. Calculate the remainder when x is divided by 7.
5
Let r = 154 + -133. Calculate the remainder when r is divided by 16.
5
Let v = 76 + -14. Calculate the remainder when v is divided by 21.
20
Let p = 57 - 32. Let i be (-2 - -18)*21/(-6). Let v = i - -104. Calculate the remainder when v is divided by p.
23
Let n be (-7)/21 - (-212)/6. Suppose 0 = 2*r - r + 21. Let y = r + n. What is the remainder when 40 is divided by y?
12
Suppose -5*h + 13 + 72 = 0. What is the remainder when 67 is divided by h?
16
Let q(n) = 2*n**2 - 9*n + 5. What is the remainder when q(5) is divided by 4?
2
Suppose -2*j - 3*j = -615. Let o = j - 87. Calculate the remainder when o is divided by 13.
10
Suppose -3*z - b = 2*b - 66, b = 0. Calculate the remainder when 85 is divided by z.
19
Suppose 2*v + 2 = -6, -140 = -4*y - 4*v. Suppose -d = -2*s + 17, -4*d - y = -5*s + 5. What is the remainder when 15 is divided by s?
7
Let c(g) = 15*g**2 - 13*g**2 + 3*g - 5*g + 3. Let k = -64 - -108. Calculate the remainder when k is divided by c(3).
14
Let y(x) = 6*x**2 - x + 2. Let c(m) = 25*m**2 - 4*m + 8. Let h(k) = -2*c(k) + 9*y(k). What is the remainder when h(-3) is divided by 14?
13
Let o be (-3)/(-5) - 14/(-10). Suppose -50 = -4*p - o. Calculate the remainder when 34 is divided by p.
10
Suppose -2*i = 4 - 6. Suppose -w - i = -10. Calculate the remainder when 26 is divided by w.
8
Suppose 2*g = -3*d + 16, g = 5*g + 5*d - 30. What is the remainder when g is divided by 4?
1
Suppose -31 = -4*a + 49. Let c be 38/(-4)*a/(-2). Suppose -2*g + l = 11 - 78, -3*g = 4*l - c. What is the remainder when g is divided by 12?
9
Suppose -2*q + 3*y = 2*q - 6, -16 = -2*q - 5*y. Calculate the remainder when q is divided by 1.
0
Let u(k) = 7*k + 1. Let t(f) = -3*f - 1. Let s(z) = -7*t(z) - 4*u(z). What is the remainder when s(-6) is divided by 12?
9
Let k = -11 - -15. Suppose 0*o = -o + k. Suppose 0 = -5*z - 5*r - 151 + 381, 0 = -o*z + 2*r + 190. Calculate the remainder when z is divided by 16.
15
Let x be (-2)/4 - (-118)/4. Let d = -18 + x. What is the remainder when d is divided by 4?
3
Let q(o) = -11*o + 2. What is the remainder when q(-2) is divided by 13?
11
Let t(f) be the third derivative of 7*f**5/60 - f**4/6 - f**3/2 + 3*f**2. Calculate the remainder when t(-2) is divided by 12.
9
Let t be (4/(-6))/((-10)/75). Suppose 45 = 3*v + 3*h, -5*h = -t*v + 15 + 40. What is the remainder when v is divided by 5?
3
Let t(q) = -q**3 - 4*q**2 + 6. Let m be t(-5). Let z = 15 - m. What is the remainder when 20 is divided by (44/z)/(2/(-8))?
9
Suppose -2*q + 5*t + 42 = -25, -4*q + 3*t + 99 = 0. Suppose 2*j - n - 4 = j, 8 = 3*j - 5*n. Calculate the remainder when q is divided by j.
3
Suppose 2*c - 2*r = 450, c - 5*r = 299 - 74. Suppose -x = 2*x - c. Calculate the remainder when x is divided by 19.
18
Suppose -a - 4*a + 36 = -4*i, -24 = i - 5*a. Let p(w) = 2*w**3 - 2*w - 3*w**3 - 3 - 3*w**2 + 4*w. What is the remainder when 17 is divided by p(i)?
2
Suppose -3*t + 24 = 3*t. Calculate the remainder when 18 is divided by t.
2
Let j(h) = -h**2 + 12*h - 6. Calculate the remainder when 25 is divided by j(10).
11
Suppose -41 = -7*d + 22. Calculate the remainder when 33 is divided by d.
6
Suppose l - 2*t = 24, -3*t = -2*l + 12 + 34. Suppose -o + 6*o = l. Suppose -10 + 50 = o*s. What is the remainder when 28 is divided by s?
8
Suppose 0*t - 3*t - 174 = -3*k, 2*k + 3*t - 136 = 0. Calculate the remainder when 307 is divided by k.
59
Let v = 218 - 108. What is the remainder when v is divided by 16?
14
Let b(v) = 3*v. Let z be b(1). Let g be 2/z - (-778)/3. What is the remainder when (-2)/8 + g/16 is divided by 9?
7
Suppose 0 = -4*l - 5*r + 4*r + 54, 5*r = -5*l + 60. What is the remainder when 136 is divided by l?
10
Let q be (-9)/(-1)*(-8)/6. Let t be (-8)/q + 13/3. Suppose -5*a = i
|
{
"pile_set_name": "DM Mathematics"
}
|
20 + 25 = -3*n. What is the remainder when 15 is divided by l(n)?
3
Let y(i) = 14*i - 5. Let u = 21 + -19. Calculate the remainder when -1 + 1/(-1) - -91 is divided by y(u).
20
Let q = -19 + 25. Suppose -3*j = -q - 309. What is the remainder when j is divided by 36?
33
Let b(x) = 9*x - 2. Let s be b(-13). What is the remainder when 528/14 + (-34)/s is divided by 14?
10
Let a(v) = -2*v - 2. Let y be a(-2). Suppose -4*w = -6 - 6, 94 = 4*o - y*w. Let l(t) = 4*t**2 + 3*t + 3. What is the remainder when o is divided by l(-2)?
12
Let y = -117 - -156. What is the remainder when 89 is divided by y?
11
Suppose -4*l + 267 = 35. Let r = -16 + l. What is the remainder when 11 is divided by (72/r)/(2/7)?
5
Let m(a) = -a**3 - 7*a**2 + 8*a + 7. Let l = -34 - -52. Let h = -26 + l. Calculate the remainder when 19 is divided by m(h).
5
Let k = 5 - 1. Suppose k*v - 4*d + 16 = 0, -d + 1 + 7 = 3*v. Suppose 3*s - v = 17. What is the remainder when 16 is divided by s?
4
Let k = -744 - -1143. Calculate the remainder when k is divided by 20.
19
Suppose 0 = 4*u - 2*i - 24, 24*u - 28*u + 12 = i. What is the remainder when 106 is divided by u?
2
Let n be 3*(-2 - (-16 + 1)). Let z = 75 - n. What is the remainder when z is divided by 12 + 14*1/2?
17
Let i be (-2)/(-1 - (-15)/9). Let d = 8 + i. Calculate the remainder when d is divided by (117/(-18) - -7) + (-14)/(-4).
1
Suppose 0 = -4*n + 7*n - 78. What is the remainder when 146 is divided by n?
16
Let v(g) = 8*g**2 - 10*g + 30. Let r(h) = 9*h - 15. Calculate the remainder when v(4) is divided by r(5).
28
Let o = 18 + 0. Let l = 8 + o. Let a(i) = 75*i + 232. What is the remainder when l is divided by a(-3)?
5
Suppose -2*k - 2*i - 2 = 0, -3*k + k + 2*i = -14. Suppose 4 = 2*b - 4. Calculate the remainder when 1/((-8 + b)/(-20)) is divided by k.
2
Let q = -4 + 6. Suppose q*t + 168 = 6*t. Suppose 5*p + 12 = 2*f - f, -5*p + t = f. Calculate the remainder when f is divided by 15.
12
Suppose -r - 50 = -6*r + 5*q, -q - 5 = 0. Suppose 0 = c - 1 + 5. Let n = c + 17. Calculate the remainder when n is divided by r.
3
Let i(d) = -6*d - 45. Suppose -5*a = -2*a + 2*w - 109, 2*a = 4*w + 62. What is the remainder when i(-19) is divided by a?
34
Let w(b) = -13*b**3 + 2*b + 1. Suppose 73 = 3*j - 47. Suppose -y + 18 = 3*k, -3*y + 3*k + 74 = -j. What is the remainder when y is divided by w(-1)?
9
Let o(w) = w**2 + 6*w - 6. Let b be o(-10). Suppose b + 71 = 5*g. Calculate the remainder when 7/3 + 14/g is divided by 2.
1
Let l(j) = j**3 - j. Let w(v) = 7*v**3 + 8*v**2 - v + 4. Let d(b) = -6*l(b) + w(b). What is the remainder when 53 is divided by d(-7)?
17
What is the remainder when 75 - -96 - (-9 + 1) is divided by 49?
32
Let c(g) = -6*g**2 + 9*g + 4. Let d(v) = -v**2 + v - 1. Let l(h) = -c(h) + 3*d(h). Let r = -173 + 272. What is the remainder when r is divided by l(-2)?
14
Let g = 30 + -34. Let y = g - -15. Let u = 19 - -13. What is the remainder when u is divided by y?
10
Let w be 2/2 + (-15 - -19). Calculate the remainder when 14 is divided by (-2 - -10)/(-4 + w).
6
Let f(g) = -2*g - 23. Let o be f(-11). Let n(a) = 4*a**2 + a. Let j be n(o). What is the remainder when j - 1 - (-2 + -69) is divided by 15?
13
Let a = -6 - -7. Let z = 112 + -93. What is the remainder when z is divided by a*(2 + 3/1)?
4
Suppose 0 = -4*h - 0*h + 12. Suppose a - 1 = 5. Suppose -5*l = -36 + a. Calculate the remainder when l is divided by h.
0
Let t = -213 - -310. Calculate the remainder when t is divided by 38.
21
Let g(b) = b + 50. Suppose -4*f + 0*f = 0. Suppose 2*w = -f*w. What is the remainder when g(w) is divided by 26?
24
Let j be ((-48)/20)/((-6)/100). Let w = j + -28. Let d(h) = h + 21. Calculate the remainder when d(0) is divided by w.
9
Let q be (0/(-2))/((-3)/(-1)). Suppose 4*s = q, 0 = -4*h - h - 2*s + 15. Let x = -4 + 7. Calculate the remainder when h is divided by x.
0
Let a(i) = i**2 + i - 76. Calculate the remainder when 302 is divided by a(10).
30
Let c(w) = -5*w + 1. Let n be (4/12)/((-6)/18). What is the remainder when c(n) is divided by 3?
0
Let m = -49 + 95. Suppose -6*w = -13*w + 14. Suppose w*u + 32 = 3*h, -3*h - 4*u + 36 = -8. Calculate the remainder when m is divided by h.
10
Suppose -2710*b + 2719*b - 1962 = 0. What is the remainder when b is divided by 110?
108
Let b = -11 + 19. Suppose -4*q + b = 3*m + q, 4*q = -20. What is the remainder when 18 is divided by m?
7
Let p = 139 - 125. Calculate the remainder when 24 is divided by p.
10
Suppose 5*z + 16 - 141 = 0. Calculate the remainder when 74 is divided by z.
24
Suppose -2*s + 4 = -3*s. Calculate the remainder when (3 + 1)/(-2) + 73 is divided by (-4 + s + 2)*-3.
17
Suppose -2894*b + 2900*b = 24. Calculate the remainder when 222 is divided by b.
2
Suppose -63*g + 62*g + 188 = 0. Calculate the remainder when g is divided by 38.
36
Suppose 2*v - 2*r - 736 = -v, 2*r + 1228 = 5*v. Let l = v + -127. What is the remainder when l is divided by 30?
29
Suppose 3*w + 0*w = 30. Suppose -5*f + 3*f - h + 17 = 0, 39 = 5*f - h. Suppose 4*r = 84 - f. What is the remainder when r is divided by w?
9
Let g(a) = -58*a**3 - a**2 - 2*a + 2. Let k be g(1). Let s = k + 71. Calculate the remainder when 47 is divided by s.
11
Calculate the remainder when 256/108*33 - 2/9 is divided by -2*(-1)/(-2)*-27.
24
Let r(n) = -n**2 - 8*n - 6. What is the remainder when 19 is divided by r(-6)?
1
Let c = 163 - -308. Suppose 0 = -14*t + 15*t - c. Calculate the remainder when t/9 - 1/3 is divided by 18.
16
Suppose 5*i + 3*a - 2 = 17, -i + 13 = -4*a. Suppose g = -4*g - 3*m + 90, 85 = i*g + 4*m. Calculate the remainder when 59 is divided by g.
17
Let h be (4/(-6))/(1/(-57)). Suppose 170 = h*c - 33*c. What is the remainder when c is divided by 18?
16
Let b = 29 + -16. What is the remainder when 101 is divided by b?
10
Let x(u) = 11*u - 17. Let w(f) = 10*f - 17. Let y(j) = 5*w(j) - 4*x(j). Let q = -9 + 23. What is the remainder when y(7) is divided by q?
11
Let s(o) = 2*o**2 - 10*o + 30. What is the remainder when s(7) is divided by (1 - 6)*3/(-1)?
13
Let n(q) be the third derivative of q**4/24 + 13*q**3/3 - 5*q**2. Calculate the remainder when n(13) is divided by 10.
9
Suppose -2 = -l - 2*o, 2 = l + 2*l + 2*o. Calculate the remainder when 16 is divided by l + 1 + (-9 - -19).
5
Suppose -3*w + 115 = 7. What is the remainder when -61*(-18)/6 - 5 is divided by w?
34
Suppose -4*k - 69 = -5*i, -61 = 3*k - 3*i - 10. Let n = k - -20. Calculate the remainder when 12 is divided by n.
0
Let d(h) = 3*h**2 + 6*h + 3. Let g be d(-2). Suppose 81 = g*a - 0. What is the remainder when 53 is divided by a?
26
Suppose -4*q + 17 - 21 = 0, q = -4*c + 615. Calculate the remainder when c is divided by 78.
76
Let r = 40 - -62. Calculate the remainder when r is divided by 54.
48
Let t = -9 - -16. Let f = t - 3. What is the remainder when 102 is divided by 2/f*312/6?
24
Let d(o) = 11*o**2 + 5*o - 9. Calculate the remainder when d(2) is divided by 20.
5
Suppose 0 = -g - 4*g + 15. What is the remainder when 16 + -2 + g - (-15 - -12) is divided by 6?
2
Let r(q) = 11*q**2 + 5*q + 3. Calculate the remainder when r(-3) is divided by 11.
10
Let p = -5 - -7. Let f(x) = -x**2 - 16*x - 16. Let d be f(-14). Let y = p + d. Calculate the remainder when 38 is divided by y.
10
Suppose -3*d + 12 = -0*d. Let i(n) = -n**2 - 12*n - 8. What is the remainder when i(-6) is divided by d - ((-35)/(-10))/7*-8?
4
Let b = -371 + 545. Calculate the remainder when b is divided by 45.
39
Let w(q) = 15*q + 56. What is the remainder when 109 is divided by w(0)?
53
Suppose 0 = 2*h + 2*h - 68. Calculate the remainder when 24 is divided by h.
7
Let r(m) = -2*m**2 + 15*m - 16. Let c be r(6). Suppose 0 = d + 3*a - 16, -c*d + 21 = 3*a - 11. What is the remainder when 92 is divided by d?
12
Let w(u) = -46*u - 403. Calculate the remainder when w(-9) is divided by 7.
4
Let z = 87 + -62. Calculate the remainder when 47 is divided by z/(-2)*(56/10)/(-7).
7
Suppose 2*u = 4*p - 184, p + 15*u - 43 = 17*u. What is the remainder when 796 is divided by p?
44
Let w = 17 - -2. Calculate the remainder when 2/(((-96)/(-330))/8) is divided by w.
17
Let p(c) = c**2 - 5. Let m be (3 - 4)/(-4 + 5). Let t(j) = 3*j**2 - j - 1. Calculate the remainder when p(4) is divided by t(m).
2
Let n(c) = 2*c**3 + 8*c**
|
{
"pile_set_name": "DM Mathematics"
}
|
g(p(v)).
-128881*v**2
Let n(r) = r + 2*r + 0*r. Suppose -40*b - 1374 = -46*b. Let v(l) = -229*l - 7*l**2 + b*l. Give n(v(f)).
-21*f**2
Let x(y) = -29*y**2. Let f(i) = 3*i. Suppose 18*h = 17*h. Let m(a) = h*a + 2*a - 3*a - a. Let d(l) = -4*f(l) - 7*m(l). What is x(d(q))?
-116*q**2
Let p(v) = -10*v**2. Suppose 5*k + 2*d = 6, 5*k + 3*d - 11 = -2. Let x(h) = 0 - 1165*h + 1167*h + k. Calculate x(p(y)).
-20*y**2
Let o(g) = 2*g - 9. Let m(u) = -u + 223. Let t(w) = -m(w) - 2*o(w). Let f(h) = h. Calculate f(t(l)).
-3*l - 205
Let u(v) = 47*v. Let c(a) = -5*a**2 + 2701. Determine u(c(t)).
-235*t**2 + 126947
Let y(p) = -50*p**2. Let q(n) = 4*n**2 - 14*n + 14. Let t be (3 - 6)*(-1 - (0 - 0)). Let k(z) = -z**2 + 3*z - 3. Let v(h) = t*q(h) + 14*k(h). Determine y(v(s)).
-200*s**4
Let a be (-2)/(0 + (-11)/(1419/6)). Let c(f) = -a*f - 8*f + 25*f - 50*f - 2. Let v(s) = -2*s. What is c(v(k))?
152*k - 2
Let z(a) = -2*a. Let h(y) = 12573023*y**2 - 105308*y. Let j(w) = 15044*w**2 - 126*w. Let o(p) = -9*h(p) + 7522*j(p). Give o(z(q)).
15044*q**2
Let y(a) = 86*a**2 + 7907*a + 1. Let g(n) = -27*n. Determine g(y(o)).
-2322*o**2 - 213489*o - 27
Let r(n) be the first derivative of n**3 - 41 + 0*n - 1/2*n**2. Let x(q) = -2*q. Give x(r(p)).
-6*p**2 + 2*p
Let f(k) = 147*k**2. Let c(a) = -640566*a. What is f(c(x))?
60317745652332*x**2
Let c(s) = -85*s - 1. Let p(h) = -1501562*h. Give p(c(w)).
127632770*w + 1501562
Let j(d) = -166*d. Let r(p) = 50*p**2 - 62*p**2 + 2*p**2 + 5*p**2. Determine j(r(y)).
830*y**2
Let m(h) = h. Let r(s) = -749478*s - 33. Determine r(m(k)).
-749478*k - 33
Let g(z) = -z - 4. Let y(l) = -3*l - 10. Suppose -t + 2 = 4. Let h(a) = t*y(a) + 5*g(a). Let q(r) = 5*r**2. Give h(q(o)).
5*o**2
Suppose 2*k + 4*k - 48 = 0. Let m(i) = -15*i**2 + k*i**2 + 6*i**2 + 3*i**2. Let g(b) = -2*b**2 - 4*b**2 + 3*b**2 - b**2. Calculate m(g(y)).
32*y**4
Let k(b) = 2*b. Let u(g) = -3*g**2 - 483*g - 56. Determine u(k(o)).
-12*o**2 - 966*o - 56
Let b(j) = -140 + 2*j**2 + 19 - 3*j**2. Let n(a) = -286*a**2 + 142*a**2 + 143*a**2. Give b(n(d)).
-d**4 - 121
Let y(n) = -16*n. Let z(l) be the second derivative of 5*l**4/12 - 5*l**3/3 - 389*l - 2. Calculate y(z(q)).
-80*q**2 + 160*q
Let y(i) = -22359703*i. Let j(n) = -2*n**2. Calculate y(j(h)).
44719406*h**2
Let p(r) = 3*r. Let v(j) = 16*j**2 - 13*j + 211. Let h(c) = -5*c**2 + 4*c - 66. Let t(o) = -13*h(o) - 4*v(o). Determine p(t(u)).
3*u**2 + 42
Let m(v) = -6279964*v. Let y(i) = 4*i**2. Calculate m(y(q)).
-25119856*q**2
Let p(a) = -a**2 - 22*a + 34387. Let b(x) = x. Calculate b(p(q)).
-q**2 - 22*q + 34387
Let q(t) = 84*t**2 - 315*t + 49. Let n(j) = 4*j**2 - 16*j**2 + 3*j**2 + 9 - 13 + 2*j**2 + 26*j. Let k(a) = 49*n(a) + 4*q(a). Let p(g) = 2*g**2. Give p(k(z)).
98*z**4 - 392*z**3 + 392*z**2
Let l(v) = 11*v**2 - v + 8329. Let w(z) = -22*z - 4. Determine w(l(y)).
-242*y**2 + 22*y - 183242
Let d(x) = 4*x**2. Let c(j) be the first derivative of -27*j**2 - 2252. Calculate c(d(p)).
-216*p**2
Suppose -138*s = -275 + 275. Let p(o) be the second derivative of 0*o**2 + s + 26*o + 1/12*o**4 + 0*o**3. Let h(a) = 18*a. What is p(h(m))?
324*m**2
Let o(w) = -25134*w + 2. Let g(c) = -16*c**2 + 2*c. Determine o(g(m)).
402144*m**2 - 50268*m + 2
Suppose 3 = 5*i - 12. Let x(s) = 5*s - i*s - 3*s - 523 + 523. Let k(p) = -296*p**2. Determine x(k(y)).
296*y**2
Let t(b) = -21*b. Let x(s) be the second derivative of -s**6/720 + 5*s**4/4 + 5*s**3/6 - s - 5. Let k(c) be the third derivative of x(c). What is t(k(q))?
21*q
Let r(a) = -143*a. Let k(z) = -188*z - 10. Let m(p) = 269*p + 14. Let x(d) = 7*k(d) + 5*m(d). Calculate x(r(o)).
-4147*o
Let g(d) be the second derivative of 5*d**3/3 + 12*d + 5. Let x(v) = -7*v**2 + 4*v. What is g(x(r))?
-70*r**2 + 40*r
Let c(r) = -4*r. Let m be (-1 - 59)*(-8)/16. Suppose m = -l + 84. Let w(j) = -54 + l + 9*j**2. What is w(c(a))?
144*a**2
Let n(s) = -3*s**2 - 2*s**2 + 3*s**2. Let g(r) be the second derivative of 17*r**4/12 + 35748*r. Calculate g(n(c)).
68*c**4
Let j(m) = -6*m - 10. Let s(t) = 89*t**2 - 9*t - 18. Let v be s(-2). Let k(w) = 176*w**2 + 179*w**2 - v*w**2. Give j(k(z)).
6*z**2 - 10
Let w(l) = -6*l**2 - 1151*l - 5. Let f(r) = -134*r. Calculate w(f(h)).
-107736*h**2 + 154234*h - 5
Let j(h) = 21*h**2. Let z(w) be the first derivative of 8*w**2 - 491. Calculate j(z(b)).
5376*b**2
Let z(s) = 41*s**2 + 4*s. Let x(o) = 122*o**2 + 14*o. Let u(h) = 2*x(h) - 7*z(h). Let f(w) be the second derivative of -w**3/3 - 2*w. Give f(u(y)).
86*y**2
Let i(q) be the second derivative of -q**6/360 - 4*q**3 - 11*q. Let z(y) be the second derivative of i(y). Let n(v) = -23 + 16*v + 23. Give z(n(w)).
-256*w**2
Let h(r) = 36*r**2. Let n(i) be the first derivative of i**2/2 - 30*i - 6727. What is h(n(v))?
36*v**2 - 2160*v + 32400
Let f(l) = 11*l**2. Let m(j) = -12*j - 5. Suppose 11 = -2*x + 6*x + 3*o, -3*o - 24 = -3*x. Let t(q) = -11*q - 4. Let v(c) = x*t(c) - 4*m(c). Give f(v(r)).
539*r**2
Suppose 23*i - 48 = 17*i. Let n(s) = i*s**2 - 16*s**2 + 6*s**2. Let p(u) = 243*u**2. Calculate p(n(z)).
972*z**4
Let g(l) = 2*l. Let t(c) = -875*c**2 + 8*c. Let r(p) = -1150624*p**2 + 10524*p. Let a(f) = 2*r(f) - 2631*t(f). Calculate a(g(s)).
3508*s**2
Let y(b) = -181 + 59 + 54 + 68 - 1596*b. Let q(m) = -m**2. Give q(y(i)).
-2547216*i**2
Let b(v) = -282*v - 35. Let f(y) = -95*y - 11. Let i(x) = -4*b(x) + 13*f(x). Let p(z) = z. Give i(p(c)).
-107*c - 3
Let b(g) be the second derivative of g**3/2 + 8*g. Let t be 6/12*6*1. Let v(k) = -13*k**2 + t*k**2 + 7*k**2. Give v(b(p)).
-27*p**2
Let k(a) = 109001139*a. Let u(v) = v**2. Determine u(k(l)).
11881248303297321*l**2
Let m(l) = -149*l + 7. Let b(t) = t - 5. Let c(i) = -b(i) - m(i). Let j(u) = 9*u. Give c(j(q)).
1332*q - 2
Let b(p) be the third derivative of -p**4/12 + 2*p**2 - 4*p - 61. Let r(y) = 2*y**2 - 1019*y - 3. Calculate r(b(q)).
8*q**2 + 2038*q - 3
Let t(b) = -948292*b. Let v(c) = 54*c. What is v(t(p))?
-51207768*p
Let y(z) = z**2. Let x(q) = -18*q**2. Let s(h) = -x(h) - 15*y(h). Let p(v) be the first derivative of 0*v + 3/2*v**2 - 58. Give s(p(b)).
27*b**2
Let c(d) be the third derivative of -29*d**4/24 - 3*d**2. Let z(k) = -15*k + 3*k + 8*k - k + k. What is c(z(u))?
116*u
Let k(x) = 5*x**2 - 26*x. Let m(o) = -18*o**2 + 91*o. Let n(u) = 21*k(u) + 6*m(u). Let q(g) = -185*g. What is q(n(p))?
555*p**2
Let n(u) = -10 - 19*u + 1 + 0 + 8 + 5. Suppose -21 = -3*v - 9. Let y(d) = -18*d + 5. Let c(j) = v*y(j) - 5*n(j). Let i(t) = t**2. Calculate c(i(p)).
23*p**2
Let f(o) = 19 - 39 + 67*o - 54*o + 20. Let r(n) = 46*n**2. Give r(f(u)).
7774*u**2
Let h(b) = 7*b - 14*b - 15*b. Let a(u) = 6*u**2 - 24*u - 1368. Let r(s) = -s**2 + 3*s + 171. Let f(k) = 3*a(k) + 24*r(k). Give h(f(t)).
132*t**2
Let k(t) = t**2 - 7. Let v(r) = -3234401*r. What is v(k(n))?
-3234401*n**2 + 22640807
Let h(y) = -14*y. Let x(t) be the first derivative of 318*t**2 + 2345. Calculate x(h(s)).
-8904*s
Let p(l) be the second derivative of -l**4/4 - 5*l**3/6 - 5*l**2/2 + 48*l. Let v(u) = -u - 1. Let g(m) = p(m) - 5*v(m). Let o(w) = w - 33. Give g(o(h)).
-3*h**2 + 198*h - 3267
Let p(n) = 14*n. Let f(z) be the first derivative of -z**2 - 25*z + 7. Let b be f(-17). Let s(d) = 0*d**2 - b*d**2 + 6*d**2. What is s(p(y))?
-588*y**2
Let u(q) be the second derivative of q**5/60 + 35*q**2 + 77*q. Let m(w) be the first derivative of u(w). Let x(j) = -6*j. Determine x(m(v)).
-6*v**2
Let a(g) = -2*g + 125208217 - 125208217. Let y(f) = -6196*f. Give y(a(i)).
12392*i
Let s(l) = -46*l**2 - l. Let p(a) be the third derivative of 7*a**5/30 - 117*a**2 - 2. What is s(p(g))?
-9016*g**4 - 14*g**2
Let h(r) = 49*r**2 + 14*r - 21. Let o(m) = 49*m**2 + 16*m - 24. Let y(n) = 8*h(n) - 7*o(n). Let l(s) = 3*s**2. What is y(l(x))?
441*x**4
Let c(a) = -3*a. Let y(s) = -381*s**2 - 2*s + 2. Let m(i) = -806575*i**2 - 4235*i + 4235. Let u(v) = -2*m(v) + 4235*y(v). Determine u(c(b)).
-3465*b**2
Let b(i) = -i**2 + 30885 - 15934 - 15585. Let z(p) = 3*p. What is z(b(s))?
-3*s**2 - 1902
Let j = 413 - 157. Let v(g) = -256 + 2*g**2 + j. Let r(m) = -2*m + 2. Calculate r(v(i)).
-4*i**2 + 2
Let r(y) = 58*y - 61979. Let j(i) = 4*i. Calculate j(r(l)).
232*l - 247916
Let n(c) = 38*c. Let b(d) = -20*d**2 - d - 2. Let t(l) = -74*l**2 - 3*l - 6. Let p(o) = 3*b(o) - t(o). Calculate n(p(z)).
532*z**2
|
{
"pile_set_name": "DM Mathematics"
}
|
. Calculate k(6).
-6
Let w(s) = s**2 - 773*s + 142078. Determine w(301).
6
Let g(r) = 2*r**2 + 248*r + 1972. What is g(-114)?
-308
Let d(w) = -24*w - 744. What is d(-36)?
120
Let z(o) = -o**2 + 55*o + 131. Calculate z(55).
131
Let q(l) = -20*l**2 - 133*l - 140. Give q(-5).
25
Let p(y) = -36*y - 372. Determine p(-12).
60
Let v(j) = j**3 - 8*j**2 - 89*j + 71. What is v(14)?
1
Let h(r) = 494*r - 46. Determine h(1).
448
Let r(z) = z**3 - 101*z**2 - 10*z + 850. What is r(101)?
-160
Let f(k) = -535*k - 7972. What is f(-15)?
53
Let c(o) = -2*o**2 + 511*o - 3992. Give c(8).
-32
Let z(r) = -r**2 + 4*r - 5. Determine z(1).
-2
Let p(w) = -w**2 - 71*w - 167. What is p(-71)?
-167
Let m(j) = -j**3 - 64*j**2 + 1091*j - 74. Calculate m(-78).
4
Let f(x) = -x**2 + 10*x + 122. Give f(-6).
26
Let g(o) = -o**3 + 2*o**2 + 294*o + 2. Give g(0).
2
Let x(n) = -5*n**2 + 210*n - 60. What is x(42)?
-60
Let c(h) = 8*h**2 - 16*h + 22. Calculate c(4).
86
Let d(a) = -4*a**3 + 7*a**2 - 17. What is d(4)?
-161
Let x(h) = -3*h**3 + 55*h**2 - 11*h - 126. Determine x(18).
0
Let x(d) = -d**3 - 8*d**2 - 11*d - 56. Determine x(-8).
32
Let d(x) = -2*x**3 - 78*x**2 + 3*x + 83. What is d(-39)?
-34
Let w(y) = -3*y**2 + 44*y - 25. Calculate w(17).
-144
Let l(h) = -2*h**3 + 75*h**2 + 42*h - 164. What is l(38)?
-12
Let g(m) = -m**2 + 12*m + 609. Determine g(-21).
-84
Let c(w) = -w**3 + 35*w**2 + 58*w - 705. Determine c(36).
87
Let v(n) = -41*n + 1210. Determine v(28).
62
Let q(r) = -r**3 + 12*r**2 + 33*r + 57. What is q(13)?
317
Let h(b) = b**3 + 9*b**2 + 35*b. Calculate h(-3).
-51
Let m(r) = 20*r**3 + 5*r**2 - 15*r - 4. Give m(-1).
-4
Let h(x) = 665*x - 64508. Give h(97).
-3
Let j(p) = -55*p**3 + 6*p**2 + 3*p - 3. Calculate j(-1).
55
Let h(i) = i**2 - 3125*i + 9358. Give h(3).
-8
Let l(v) = -515*v + 2577. Calculate l(5).
2
Let x(q) = 2*q**3 - 14*q**2 - 156*q - 19. What is x(13)?
-19
Let w(u) = 50*u**3 + 14*u**2 + 3*u - 11. What is w(-1)?
-50
Let p(y) = -24*y**2 + 8*y - 6. Give p(2).
-86
Let w(o) = o**2 - 106*o + 476. Give w(101).
-29
Let b(l) = -2*l**2 + 71*l + 460. Give b(39).
187
Let o(b) = -132*b - 3702. Calculate o(-28).
-6
Let o(h) = h**3 + 13*h**2 + 31*h + 8. Calculate o(-4).
28
Let c(n) = -520*n - 77. Determine c(-1).
443
Let u(j) = 58*j - 28. Calculate u(0).
-28
Let y(u) = -6*u**2 - 71*u + 167. Calculate y(2).
1
Let u(t) = 130*t + 14. Give u(-4).
-506
Let d(z) = 46*z + 226. Calculate d(-5).
-4
Let q(b) = b**3 - 5*b**2 - 21*b + 18. Calculate q(9).
153
Let u(j) = j**2 + 11*j - 13. Calculate u(-12).
-1
Let t(g) = -12*g**3 + 3*g**2 + 2*g + 1. Calculate t(-2).
105
Let g(y) = -y**3 - 13*y**2 - 7*y - 15. Give g(-13).
76
Let f(h) = -69*h - 170. What is f(-5)?
175
Let p(d) = -151*d**2 + 5438*d - 80. Determine p(36).
-8
Let n(h) = 19*h**2 + 22*h + 30. Give n(-2).
62
Let s(o) = -o**3 + 19*o**2 - 37*o + 2. What is s(6)?
248
Let u(p) = -4*p + 32. Give u(2).
24
Let u(p) = -p**2 + 167*p - 939. Give u(6).
27
Let t(p) = -56*p + 897. Determine t(16).
1
Let w(f) = -229*f**2 + 5*f + 6. Calculate w(-1).
-228
Let o(i) = i**3 - 6*i**2 - 15*i + 15. Determine o(6).
-75
Let r(q) = -14*q**2 + 51*q + 13. Determine r(3).
40
Let z(y) = 11*y**2 - 1306*y + 936. What is z(118)?
-8
Let g(p) = -p**3 - 24*p**2 - 120*p - 25. What is g(-17)?
-8
Let l(f) = 16*f + 439. Give l(-29).
-25
Let t(s) = s**3 + 114*s**2 + 299*s - 3780. Calculate t(-111).
-6
Let y(u) = 102*u - 945. What is y(9)?
-27
Let o(h) = 282*h - 588. Determine o(2).
-24
Let a(j) = -j**3 + 55*j**2 + 60*j - 72. Calculate a(56).
152
Let x(m) = m**3 - 148*m**2 + 115*m + 4707. What is x(147)?
3
Let i(x) = 25*x**2 - 46*x + 193. What is i(5)?
588
Let x(j) = -j**3 - 15*j**2 - 42*j - 1. Calculate x(-4).
-9
Let r(b) = -13*b**2 + 26*b + 54. What is r(-3)?
-141
Let l(c) = 375*c + 46122. Give l(-123).
-3
Let t(x) = -14*x**2 - 111*x + 12. Determine t(-8).
4
Let l(j) = -j**2 - 233*j + 1679. Give l(7).
-1
Let z(a) = -122*a + 189. Give z(3).
-177
Let v(j) = 492*j + 5406. Calculate v(-11).
-6
Let i(s) = -10*s**3 - 3*s**2 + 114*s - 232. Calculate i(2).
-96
Let g(l) = l**2 - 158*l + 1782. Calculate g(12).
30
Let x(l) = -l**3 + 17*l**2 + 7*l - 60. Determine x(17).
59
Let s(y) = 3*y**3 + 127*y**2 - 162*y - 3269. Determine s(-43).
-1
Let k(u) = -21*u + 255. Calculate k(21).
-186
Let g(q) = 2*q**3 - 6*q**2 + 26*q - 164. Give g(5).
66
Let b(t) = t**3 - 7*t**2 + 41*t - 172. What is b(5)?
-17
Let j(g) = -259*g - 519. Calculate j(-2).
-1
Let m(v) = 251*v - 11040. What is m(44)?
4
Let h(t) = -4*t**2 + 120*t + 29. Calculate h(30).
29
Let z(p) = p**2 - 170*p + 3486. What is z(24)?
-18
Let a(c) = -113*c + 1845. What is a(16)?
37
Let q(v) = v**2 + 221*v + 4375. Determine q(-199).
-3
Let k(c) = -2*c**2 - 185*c + 560. Give k(3).
-13
Let g(o) = -2*o**3 - 25*o**2 - 6*o - 15. Calculate g(-13).
232
Let x(r) = -10*r + 63. Calculate x(14).
-77
Let g(p) = 2*p**2 + 190*p + 1096. What is g(-6)?
28
Let w(f) = -2*f**3 - 22*f**2 - 27*f - 129. Calculate w(-10).
-59
Let m(u) = 3*u**3 + 64*u**2 + 84*u + 89. Calculate m(-20).
9
Let h(j) = 2*j**2 + 4*j + 13. What is h(9)?
211
Let l(w) = -w**2 + 103*w - 2306. Determine l(33).
4
Let g(x) = -7*x**2 - 45*x - 181. What is g(-4)?
-113
Let x(f) = -f**3 + 95*f**2 - 20*f + 1917. What is x(95)?
17
Let g(k) = -k**3 - 16*k**2 + 146*k + 29. Determine g(7).
-76
Let j(o) = -27*o + 482. Calculate j(17).
23
Let y(v) = 82*v - 21. Determine y(1).
61
Let z(v) = 2*v**2 - 2*v - 306. What is z(15)?
114
Let q(x) = 18*x**2 - 218*x + 21. What is q(12)?
-3
Let h(n) = 4*n**2 - 202*n + 198. Give h(49).
-96
Let b(f) = 163*f + 655. Give b(-4).
3
Let o(f) = -f**2 + 12*f - 32. Determine o(9).
-5
Let a(w) = w**3 - 247*w**2 - 2579*w - 16. Give a(-10).
74
Let s(h) = 5*h**3 + 21*h**2 + 9*h + 6. Determine s(-4).
-14
Let k(c) = 3*c**3 + 74*c**2 + 23*c - 572. Give k(-24).
28
Let f(z) = -56*z - 736. Calculate f(-13).
-8
Let p(i) = 1195*i - 4774. Give p(4).
6
Let v(j) = j**2 + 74*j + 1003. What is v(-56)?
-5
Let y(f) = f**3 + 87*f**2 + 320*f - 994. Calculate y(-83).
2
Let i(r) = 5*r**2 - 27*r + 100. Give i(4).
72
Let i(y) = y**3 - 30*y**2 + 53*y + 46. Determine i(27).
-710
Let t(j) = -j**2 - 373*j + 2626. Determine t(7).
-34
Let l(j) = -2*j**2 - 5*j + 82. Give l(8).
-86
Let v(y) = -115*y + 48. Give v(7).
-757
Let t(x) = -2*x**3 + 36*x**2 - 34*x - 68. Determine t(17).
-68
Let s(n) = -6*n + 41. Give s(10).
-19
Let q(m) = 2*m**3 + m**2 + 2*m - 133. Determine q(0).
-133
Let u(y) = 27*y**2 + 2191*y + 41. Calculate u(-81).
-283
Let x(y) = 62*y - 8056. What is x(130)?
4
Let c(w) = -4*w**2 + 780*w - 3815. Determine c(5).
-15
Let k(g) = -4*g**2 - 117*g - 685. Give k(-20).
55
Let i(j) = -2*j**2 + 23*j + 78. Give i(-5).
-87
Let x(p) = 2*p**2 - 58*p + 377. Calculate x(13).
-39
Let n(p) = p**3 - 28*p**2 - 52*p - 230. Give n(30).
10
Let l(f) = -4*f**2 - 124*f + 178. Calculate l(-32).
50
Let t(v) = -v**3 + 19*v**2 + 113*v + 155. Determine t(24).
-13
Let r(s) = 18*s**2 - 371*s + 22. Give r(20).
-198
Let u(f) = 10*f**3 + 510*f**2 + f + 42. Determine u(-51).
-9
Let j(r) = r**2 - 15*r + 43. Calculate j(8).
-13
Let l(r) = -5*r**2 - r. Give l(-4).
-76
Let v(t) = -207*t - 779. Calculate v(-4).
49
Let y(b) = -3*b**2 + 83*b + 12. Give y(27).
66
Let j(l) = 3*l**2 + 210*l - 448. Calculate j(-72).
-16
Let w(k) = 85*k - 1444. What is w(17)?
1
Let w(k) = -2*k**2 + 48*k + 343. Calculate w(-7).
-91
Let s(z) = 126*z + 635. Determine s(-4).
131
Let s(h) = 3*h**2 + 167*h + 2329. What is s(-28)?
5
Let b(m) = 19*m**3 + 4*m**2 - 4*m - 9. What is b(0)?
-9
Let w(q) = q**2 - 33*q + 106. Calculate w(5).
-34
Let j(i) = 133*i**2 + 53*i + 104. Give j(-2).
530
Let r(o) = -2*o**2 + 27*o + 166. Calculate r(19).
-43
Let l(w) = 35*w**2 + 317*w + 33. Determine l(-9).
15
Let n(f) = 41*f + 236. Calculate n(-5).
31
Let g(o) = 2*o**3 + 5*o - 23. What is g(0)?
-23
Let b(x) = -36*x**3 + 650*x**2 - 40*x + 73. Calculate b(18).
1
Let r(w) = 173*w - 678. Give r(4).
14
Let y(s) = -71*s + 9088. Determine y(128).
0
Let h(v) = 3*v**3 + 15*v**2 + 7*v + 63. What is h(-7)?
-280
Let f(b) = 19*b + 238. Give f(-18).
-104
Let c(r) = -5*r**2 + 102*r + 40. Give c(21).
-23
Let u(v) = 135*v - 7959. Calculate u(59).
6
Let m(l) = -756*l - 3017. Calculate m(-4).
7
Let j(l) = 18*l**2 + 101*l + 53. Give j(-5).
-2
Let f(w) = 65*w + 1274. Calculate f(-18).
104
Let k(s) = 2*s
|
{
"pile_set_name": "DM Mathematics"
}
|
34.00099. Round d to 4 dps.
-0.001
Suppose 0 = 2*a - 1 - 11. Let v(f) = -160*f + 23. Let q be v(a). Round q to the nearest one hundred.
-900
Let t = -257.999406 - -258. What is t rounded to five dps?
0.00059
Let o(k) = -491560*k - 80. Let p be o(32). Round p to the nearest 100000.
-15700000
Let i = -9.27 + 1.27. Let l = 11.4 + i. Round l to one decimal place.
3.4
Let w = -0.9 + -16.1. Let j = w - -17.000056. What is j rounded to five dps?
0.00006
Let k = 1734.850024 - 1735. Let m = -357 + 356.85. Let s = k - m. What is s rounded to five dps?
0.00002
Let m(i) = 2 + 2*i - 5*i + 4*i - 2*i. Let s be m(2). Suppose s = -2*a + 5*a - 4620. Round a to the nearest one hundred.
1500
Let x = -270.6 + 236. What is x rounded to zero decimal places?
-35
Let x = -36.29735 - -36.3. Round x to four dps.
0.0027
Suppose -2*z + 4*l + 20 = 2*z, -4*z + 3*l + 19 = 0. Let v(g) = -2936*g**2 - 6*g. Let i be v(z). What is i rounded to the nearest ten thousand?
-50000
Suppose k = 4*k - w - 186005, w - 185995 = -3*k. What is k rounded to the nearest one thousand?
62000
Let p = 226.999998274 - 227. Round p to seven dps.
-0.0000017
Let o = -396 - -393.42. Round o to one dp.
-2.6
Let u(x) = 760407*x**2 - 8*x - 11. Let h be u(8). Suppose 4*c = -14705973 + h. Round c to the nearest 1000000.
8000000
Let f = 66 + -89. Let t = -710508.49000064 + 710485.49. Let m = f - t. What is m rounded to seven decimal places?
0.0000006
Let u = 776.0481 - 776. Round u to two decimal places.
0.05
Suppose -4*w = -6*w - 19436. Let c be (w - 8/2) + 3. Let k be (-400)/12*(1 - c). What is k rounded to the nearest 10000?
-320000
Let n = -30132349.000036 - -30132417. Let l = 68 - n. Round l to five decimal places.
0.00004
Let y = 10 - 20. Let k = y - -9.3. Let w = 0.6992 + k. Round w to three decimal places.
-0.001
Let p = -771.5 + 1452. What is p rounded to the nearest ten?
680
Let f = -0.21 + 0.11. Let k = -0.099962 - f. What is k rounded to five decimal places?
0.00004
Let u = 0.024 + -11.424. Let k = 6 + u. Round k to zero dps.
-5
Let j = 3.7 + -13.2. Let d = j + 9. Let b = -14 - d. Round b to the nearest integer.
-14
Let p(f) = 7*f**2 - 10*f - 25. Let v be p(15). Suppose -z + v = 4*d, 5*z - 331 = -d - 0*d. Round d to the nearest 10.
350
Suppose 0 = 4*x + 5*x - 6263964. Suppose -463980 = 2*u - 5*q, u + x = -2*u + q. Round u to the nearest ten thousand.
-230000
Let v = 423.576 - 5.276. Round v to the nearest ten.
420
Let c be (1 - -3)*-1 - -74. Suppose 2*s = -g - 76, 0 = -2*s - 0*s + 2*g - c. What is s rounded to the nearest ten?
-40
Let y = 0.035 + -78.035. Let s = y + 74.65. What is s rounded to 1 dp?
-3.4
Let b = -0.009799947 - -0.0098. Round b to 7 dps.
0.0000001
Let r(k) = 21404*k - 23. Let i be r(8). Suppose -2*s + 560001 = l, -4*l + i + 108795 = s. Round s to the nearest 100000.
300000
Let n = -1109.28 + 1067. Let a = -42.6617 - n. Let x = a - -0.38. Round x to 4 decimal places.
-0.0017
Let w = 0.52 - 0.73. Let y = w + 0.3. Let u = y + -0.0899978. What is u rounded to six dps?
0.000002
Let x = -48 + 48.021. Let k = 135.021 - x. Let f = k + -128.3. What is f rounded to the nearest integer?
7
Let j = 308.07 - 310. Let y = 2.2 + j. Round y to one decimal place.
0.3
Suppose -2*a + 4*a + 843922 = h, 2*a + 843922 = 3*h. Let n = a + 3761961. What is n rounded to the nearest one hundred thousand?
3300000
Let f = 710.253 - 710. What is f rounded to 2 dps?
0.25
Let u = 8383 - 5222. What is u rounded to the nearest 100?
3200
Suppose 158*x = 154*x + 208. Let k be (x/(-6))/(54004/(-18000) + 3). What is k rounded to the nearest 10000?
40000
Let s = 0.031 - -0.099. Let v = 0.1386 - s. What is v rounded to 3 decimal places?
0.009
Let a = -14114 - -15885.4. Round a to the nearest 10.
1770
Let q be 6304004/2 + -4 + -3 + 5. What is q rounded to the nearest 100000?
3200000
Let d = 5.9 - 68.5. What is d rounded to 0 decimal places?
-63
Let s = -8.6 + -2.4. Let f = s - -11.16. Let a = 0.159776 - f. What is a rounded to 5 decimal places?
-0.00022
Let x = -231.12 - -235. Let l = 18.02 + x. What is l rounded to 0 decimal places?
22
Let q be (-31)/(-11) + 16/88. Suppose q*v + 20 = -4. Let w(n) = 17*n**2 - 13*n - 12. Let p be w(v). What is p rounded to the nearest one hundred?
1200
Suppose -r + 5061 = -5797. What is r rounded to the nearest 1000?
11000
Let q = 1989 - 1989.00003458. Round q to six dps.
-0.000035
Let x(r) = -6*r**3 - 58*r**2 - 17*r - 99. Let q be x(21). Round q to the nearest ten thousand.
-80000
Suppose -h + 14 = -91. Suppose -5*t + 5*i = -210, -h = -4*t + 2*i + 65. Suppose 5*g - 687 = t. Round g to the nearest 10.
150
Let p = 86.1238012 + -87.2238. Let b = -19 + 17.9. Let g = p - b. Round g to six dps.
0.000001
Let c(t) = -3724*t + 5. Let p be c(6). Let i = p + 39939. Round i to the nearest 1000.
18000
Let y(u) = -386*u**2 - 148*u + 4. Let m be y(4). What is m rounded to the nearest 100?
-6800
Let g = 65 + -65.0408. Let a = g + 2.1768. Let b = a - 2.1. Round b to 2 decimal places.
0.04
Let c = 0.30557 - 1.79347. Let w = -31 + 32.48. Let l = w + c. What is l rounded to 3 dps?
-0.008
Let a = 331.076 - 293. Let k = 38 - a. Let f = k - -0.12. What is f rounded to two decimal places?
0.04
Let w = -51.531 - -49.7. Round w to 1 dp.
-1.8
Let n(z) = 427*z**2 + 19*z. Let y(o) = -214*o**2 - 10*o. Let d(p) = 3*n(p) + 5*y(p). Let t be d(-12). What is t rounded to the nearest ten thousand?
30000
Let m(d) be the second derivative of 19411*d**5/4 - d**4/2 + 2*d**3/3 + d**2/2 - 7*d. Let u be m(4). Let x = -3011441 + u. Round x to the nearest one million.
3000000
Suppose 6*a = -5 + 23. Suppose -5*q + q + a*w - 8606 = 0, 5*q = -5*w - 10740. What is q rounded to the nearest 100?
-2200
Let g = -40.00475 + 40. Round g to four dps.
-0.0048
Let v(s) = 1 + 54281*s + 74950*s - 6978*s. Let y be v(7). Let n = y - 595772. What is n rounded to the nearest one hundred thousand?
300000
Let s = 12.22 - 1235.22. Let j = 1222.9123 + s. What is j rounded to 2 decimal places?
-0.09
Let y be (-748)/(-6) + 4 - (-2)/6. Let d be 30/3*6/9*y. Round d to the nearest one hundred.
900
Let w be 2 + (39 + 0)/3. Let b = w - 12. Suppose 960 = -4*f - b*s, -5*f + 5*s - 503 = 697. What is f rounded to the nearest 100?
-200
Let f = 0.1684044 - 0.168. Round f to four dps.
0.0004
Suppose -3369 + 219 = -6*q. Round q to the nearest 10.
530
Let a be (8 - 7)/(1/11). Suppose -36 = 9*s - a*s. Let c be s/(-45) - (-3698)/(-5). What is c rounded to the nearest 100?
-700
Let f = 43.22 - 40. Let v = -3 + f. Let h = v + -0.21999887. Round h to seven dps.
0.0000011
Let j = 0.5938 - -0.1452. Let u = -0.24 + j. What is u rounded to two decimal places?
0.5
Let r = -2 - 2. Let m = r + 4.275. Let t = m - 0.18. Round t to 2 dps.
0.1
Let l = -4536.01923569 + 4181.4622793422. Let d = 5.4430414422 - l. Let i = -360 + d. Round i to seven decimal places.
-0.0000022
Let c = 19.9 - -1.1. Let n = c - 11. Let t = n + -9.99999989. Round t to seven decimal places.
0.0000001
Let i = 14.2 + -89.2. Let w = -74.9999961 - i. What is w rounded to 6 dps?
0.000004
Let j = -188.8 - -209. Let z = 198.2 - j. Let g = -177.99919 + z. Round g to four dps.
0.0008
Let x = 18496738 - 9421738. What is x rounded to the nearest 100000?
9100000
Let t = -900.94 + 28.14. Round t to the nearest 100.
-900
Let p = 171.9 - 161. Let j = 3.1 + p. Let c = 13.9999989 - j. Round c to 6 decimal places.
-0.000001
Let i(u) = 2*u**2 + 37*u + 375. Let l be i(-35). What is l rounded to the nearest 100?
1500
Let d = -0.561 + 18.301. Round d to zero decimal places.
18
Let c = 392671 - 227971. What is c rounded to the nearest ten thousand?
160000
Suppose -70 = -2*r - 4*y, 2*y - 115 = -2*r + 7*y. Let d be 3/(-5) + 9807552/r. Let c = -117945 + d. What is c rounded to the nearest one million?
0
Let g = -82 + 79. Let c = -2.972 - g. Round c to 2 decimal places.
0.03
Let t = -4973 - -4973.000004693. Round t to 7 decimal places.
0.0000047
Suppose f + 2*y = 3428, -5*f + 17108 = -57*y + 59*y. What is f rounded to the nearest one thousand?
3000
Let u = -14.2 - 16.4. Let r = -30.600382 - u. Round r to five decimal places.
-0.00038
Let s be ((-1064)/3)/((-28)/(-126)). Let t be -7*(1 - s) + 1. Let p = -19878 - t. What is p rounded to the nearest one thousand?
-9000
Let b = 153111 + -506311. What is b rounded to the nearest 10000?
-35
|
{
"pile_set_name": "DM Mathematics"
}
|
e o(p).
-7
Let f(i) be the third derivative of -25*i**4/24 - 211*i**3/2 - 8346*i**2. Calculate f(-25).
-8
Let n(m) = 2*m**2 - m - 6. Let v be -1380*(1 - (-7)/(-14)*3). Let a = 693 - v. Give n(a).
9
Let m be 665/665*1/((-1)/25). Let c(o) = -o**2 - 47*o - 548. What is c(m)?
2
Let y(v) = -v - 26. Let z = 13894 - 13909. What is y(z)?
-11
Let m(h) be the second derivative of -h**5/20 - h**4/12 + h**3/6 + h**2 + 4217*h. Calculate m(-4).
46
Suppose -3*j - 52 = -5*j. Suppose 3*b + 98 = j. Let c = 25 + b. Let z(l) = 3*l**3 + l. Give z(c).
4
Let y(q) = -q**2 + 19*q - 61. Suppose -14*d + 17*d + 28 - 82 = 0. Calculate y(d).
-43
Let t be -1*1 + -1*4. Suppose -3*c + 53 = -2*b, 0*b - 4*b = -4*c + 68. Let m(u) = -u - 26 + 66 - c - 27. Determine m(t).
-1
Let m = 15 + -9. Suppose 61*o + 3*o - 1952 = -58*o. Let d(l) = -o*l + 11 + 11*l + m*l + 4. What is d(-9)?
6
Let m(u) be the first derivative of u**3 - 21*u**2/2 + 15*u - 27. Let l(b) = b**2 - b - 2. Let q(x) = -4*l(x) + m(x). What is q(-18)?
5
Let i(l) = -l - 12. Let r(w) = -3*w**3 + 4*w**2 + 42*w - 2. Let m(d) = d**3 + d**2 + d. Let n(f) = 2*m(f) + r(f). Let q be n(-4). Determine i(q).
6
Let m(c) = 611*c. Let r(b) = -17*b. Let d(g) = -4*m(g) - 143*r(g). Let h(x) = -x**3 + 2*x**2 - 10*x - 135. Let n be h(-4). Calculate d(n).
-13
Let c be (-20)/3*(-3)/(-2). Let k be 6/(48/(-40)) - -7. Let p(n) = k*n - 13*n - 4 + 8*n + 4*n + 0*n. What is p(c)?
-14
Let o = -3288 - -3282. Let a(m) = m**3 + 6*m**2 + 3*m + 12. Calculate a(o).
-6
Let c(s) = -12*s + 1. Let m(f) = 25*f - 3. Let q(d) = 5*c(d) + 2*m(d). Let x(r) = 2*r**3 + 19*r**2 + 55*r + 79. Let g be x(-6). Give q(g).
-11
Let p(y) be the second derivative of -y**4/12 - 3*y**3/2 + 3*y**2/2 - 4209*y. Suppose -3*l - 26 = -4*m, 2*l + 4*m + 0*m + 4 = 0. What is p(l)?
21
Suppose -166*k = -174*k + 104. Let v(n) = -14 + 25 - 3*n**2 - n**3 - 11*n + k*n**2. Give v(9).
-7
Let o(m) = -19. Let l(f) = -3*f + 132. Let x(t) = -l(t) - 4*o(t). Determine x(18).
-2
Let z(o) = o**2 + 11*o - 1. Suppose -10*r = 104 + 6. Let y be z(r). Let n be (y + 2)/(1/(-2)). Let s(w) = -9*w - 3. What is s(n)?
15
Let k(m) = m**2 - 12*m - 10. Suppose 70*i - 22*i - 528 = 0. Calculate k(i).
-21
Suppose -20 = -d + 5*d - 3*i, 0 = -d + 3*i - 14. Let y(s) be the first derivative of -32 + s + 0*s**3 + 1/4*s**4 + 3/2*s**2. What is y(d)?
-13
Suppose 30*z + 34 + 27 = 61. Let d(a) = -a**3 + a**2 - 3*a + 49. What is d(z)?
49
Let t(n) = -41*n - 199. Let h = -29256 + 29251. Give t(h).
6
Let k(d) = -2*d**3 + d**2 - 46*d + 3. Let u be k(0). Let c(l) be the third derivative of 0 + 11*l - 1/12*l**4 - 1/2*l**u - 3*l**2. What is c(6)?
-15
Let i(z) = 46*z + 118. Let m be i(6). Let x = m - 406. Let s(w) = w**2 + 14*w + 13. Calculate s(x).
-11
Let s(w) = 3*w + 8. Suppose -13*x = -10*x - 252. Let c = -182 + x. Let v = c - -90. What is s(v)?
-16
Let b(u) = -u**2 + 4*u + 3. Let n(l) = -l**2 - 15*l - 49. Let v(x) = x**3 + 30*x**2 - 34*x - 101. Let m be v(-31). Let t be n(m). Determine b(t).
-18
Suppose 0 = -y - t + 6, -y - t - 2 = -2*y. Suppose -d = -3*d - 2*b + 2, -y*d - 32 = -5*b. Let j(h) = -h + 1. Give j(d).
4
Let i be 310/30 + (-4)/(-6). Let g(c) = -c**2 + 14*c + 14. What is g(i)?
47
Let u(g) = g**3 - 14*g**2 + 32*g + 3. Suppose 3*c + 1 - 50 = 4*j, -5*j = 5*c - 35. Calculate u(c).
-8
Let h(d) = d**2 - 10*d - 712. Let w be h(-22). Let o(n) be the second derivative of 1/6*n**3 + 11/2*n**2 + 0 - 3*n. Give o(w).
3
Let b(y) be the third derivative of -y**5/60 + 7*y**4/24 - y**3/2 - 6*y**2. Let l be b(6). Let u(a) = 48964 - 24487 - 2*a - 24478 + 5*a**2 - a**3. What is u(l)?
11
Let r = -39 + 17. Suppose 4*k + 64 = -48. Let q = k - r. Let i(p) = -p**3 - 7*p**2 - 8*p - 7. Give i(q).
5
Let l(q) = -22*q**2 - 21*q**2 + 5*q + 80*q**2 - 3 - 15*q**2 - 23*q**2. What is l(8)?
-27
Let m(r) = r**3 - 10*r**2 + 13*r + 4. Let p be (8/28 - (-234)/63)*4/2. What is m(p)?
-20
Let o(m) be the first derivative of m**4/4 + 5*m**3/3 - 7*m**2 - 5*m - 4287. Give o(-6).
43
Let p(d) = 3*d**2 - 10*d - 22. Let q(b) = 288*b + 2021. Let w be q(-7). Give p(w).
3
Suppose 0 = 164*i + 31*i - 195. Let n(t) = 1. Let c(x) = -1. Let v(z) = z + 2. Let j(g) = 4*c(g) - v(g). Let y(s) = i*j(s) - 6*n(s). Determine y(-11).
-1
Let k(f) = -5*f + 9610*f**2 - 1 - 9609*f**2 + 7 + 4 - 1. Calculate k(0).
9
Let m = 160800 + -160802. Let w(d) be the third derivative of -d**6/120 + d**4/8 + d**3/3 - d**2. Calculate w(m).
4
Let x(p) = 3*p**2 - 8*p + 14. Let l be (45/6)/((-18)/(-12)). Calculate x(l).
49
Let g(z) = -13*z**3 + 2*z**2 - z - 2. Let k(o) = -o**2 - 4*o - 2. Let d be k(-2). Give g(d).
-100
Let y(z) = 12*z - z**2 + 11 - 5*z + 2*z. Let u be y(8). Let j(g) = -11 - 2*g - u + 34. Give j(-3).
10
Let y be 0 + 4 - 0 - 3. Let t(j) be the first derivative of -2*j**3 + j - 821. What is t(y)?
-5
Let j(q) be the third derivative of 7*q**4/24 + 11*q**3/6 - q**2 - 14*q. Let n(b) = 6*b + 10. Let g(i) = -5*j(i) + 6*n(i). Give g(6).
11
Suppose -i + 18 = -4*x, 0 = 4*i - 3*i + x + 2. Let f be 1/(1/i) - -2 - 1. Let j(d) be the second derivative of d**4/12 - 2*d**3/3 - d**2/2 - d. What is j(f)?
-4
Let i(t) = 11*t + 17. Let s(r) = r**2 - 21*r - 33. Let j(d) = -5*i(d) - 2*s(d). Let x(y) = y**2 + 7*y + 10. Let m(f) = -2*j(f) - 5*x(f). What is m(-8)?
-4
Suppose -78 + 80 = 2*l - 4*g, -2 = 2*g. Let d(q) = -14*q**2 - 2*q + 1. Let v(o) = -14*o**2 - 2*o + 2. Let j(z) = 3*d(z) - 2*v(z). Give j(l).
-13
Suppose 214*x = 218*x - 2*k - 130, -k = 5*x - 173. Let j(g) = -g**2 + 11*g + 780. What is j(x)?
-2
Let j be ((-13)/(416/(-48)))/((-3)/1)*-2. Let a(x) = -9*x - 4. Determine a(j).
-13
Let m(v) be the second derivative of 1/20*v**5 - 3*v + 7/2*v**2 - 1/2*v**3 - 9 + 1/3*v**4. Give m(-5).
-3
Let z be (46 + -10)*((-9)/3 + 4). Let j be (-5 + z/8)*2. Let w(h) = 19*h**3 - h**2. Determine w(j).
-20
Let l be (-16)/32*(9 - 1) - 203. Let k = -203 - l. Let u(w) = 2*w. What is u(k)?
8
Suppose -j = 9 - 9. Suppose 4*z - o = j, -2*z + z - 4*o = 0. Let d(r) be the first derivative of -r**2/2 - 7*r - 7. Calculate d(z).
-7
Let c = 3 + -4. Let z(d) = 2*d**2 + 5*d + 132. Let y(k) = 12*k**2 + 24*k + 638. Let j(w) = 6*y(w) - 29*z(w). Determine j(c).
15
Let k(r) = -r - 1. Let i be k(-6). Let s(a) = -9 + a - 5 + i + 2. Let b be (-27)/((-702)/(-104))*7/(-4). What is s(b)?
0
Let z(t) be the first derivative of t**6/120 + t**5/10 + t**3/6 + 44*t**2 + 8. Let f(r) be the second derivative of z(r). Let y = 12 + -17. What is f(y)?
26
Let u(n) be the second derivative of n**5/60 - n**4/12 - n**3/3 + 55*n**2 - 101*n - 2. Let t(k) be the second derivative of u(k). Determine t(12).
22
Suppose 0 = -2*j + 4*w - 16, 88*j = 93*j - 4*w + 88. Let d(z) = 22*z + 531. Give d(j).
3
Let q(r) = -8*r + 20. Let i = 7116 - 7127. Calculate q(i).
108
Let c(m) = -m**2 - 3*m - 1. Suppose 0 = 3*t - 6, -2 = 4*v - 4*t - t. Suppose -v*u - 2*l + 7 = u, 5*u - 16 = l. Determine c(u).
-19
Let f(q) = 19*q**2 - 83 + 58*q - 17*q**2 + q**3 - 132*q - 38*q**2. Determine f(38).
-7
Let c = -47 - -67. Let y = 36 - c. Suppose -13*k + y*k = 9. Let s(g) = -g**3 + 3*g**2 - 4*g + 2. What is s(k)?
-10
Suppose 1383 - 1543 = 20*n. Let f(l) = l**3 + 6*l**2 - 7*l - 4. Give f(n).
-76
Let x(q) = q**2 - 6*q + 1. Let v be ((-165)/110)/((-1)/14). Suppose 5*b + d = 25, 0 = 5*b + 2*d - 51 + v. What is x(b)?
-7
Let u(a) = 2*a**2 + 9*a**3 - 2464*a + 1 + 2465*a + 9 - 12. What is u(1)?
10
Let c(k) be the third derivative of -k**5/30 - 5*k**4/6 - 10*k**3/3 + 538*k**2 - 4*k + 1. What is c(-14)?
-132
Let z(w) be the third derivative of w**5/60 + 5*w**4/24 - w**3 + 15*w**2 + 52*w. Give z(-10).
44
Let y(p) = -2*p - 10. Suppose -9 = f - 4*v, -v + 4 = 5. Let b be y(f). Let z(x) = 34*x**2 - 17*x**2 - 2 - b*x**2. Calculate z(2).
2
Let d(u) be the second derivative of -u**4/12 + 11*u**3/6 + 79*u**2/2 + 3*u + 998. Give d(15).
19
Let n(b) = -2 - 16 - 97*b + 93*b - 31. Let g be n(-13). Let x(q) = -q**3 + 5*q**2 + 4*q - 1. What is x(g)?
29
Let f(k) = 431 - 4*k - 194 - 238. What is f(-5)?
19
Let y(x) = 3*x**2 + 0*x**2 - 2*x**2 + 3*x**2. Let v(u) = -2*u**2. Let k be (12/(-36))/(1/(-33)) + -1. Let i(m) = k*v(m) + 6*y(m). Determine i(-1).
4
Let b(n) = -6*n - 384. Let i(u) = 3*u + 206. Let h(v) = -6*b(v) - 11*i(v). Give h(-13).
-1
Let h(x) be the first derivative of -x**3/3 - 12*x**2 + 160*x + 3435. Determine h(-29).
15
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
= -2934 + 8275. Is k a multiple of 49?
True
Let g be (-2)/4*(2 + 3 + -5). Suppose 2*c - 46 - 42 = g. Is 22 a factor of c?
True
Suppose 4*w - 4*p = p - 3565, 2*w + 1784 = 2*p. Let t = -373 - w. Is t a multiple of 52?
False
Let c be 12789/(-126)*16/(-14). Let p = c - -304. Is 14 a factor of p?
True
Let d(s) = 9*s**2 - 9*s - 8. Let o be d(-6). Let q = -214 + o. Is 26 a factor of q?
True
Let b be 2662145/(-71)*((-1)/(-5) - 1). Is (-4)/18 + (-1)/(-36)*b a multiple of 16?
False
Let a(i) = i**3 + 9 - 3*i**2 - i**2 - i - 7 - 3*i**3. Suppose 5*y = 3*y - 6. Is a(y) a multiple of 15?
False
Let o = -25 - -28. Suppose 4*p + o*j = 2*p + 297, 2*p - 303 = -j. Does 17 divide p?
True
Let w(r) = -10*r - 88. Let s be w(-9). Suppose -s*d = 7*d - 2070. Does 17 divide d?
False
Suppose -54*t - 19924 = -19*t - 83134. Does 6 divide t?
True
Let w(v) = 142*v - 135. Let y be w(8). Suppose 4018 = 7*z + y. Is z a multiple of 10?
False
Let j = -186 - -190. Let x be (1 + 0)*-1*-5. Let t = j + x. Does 9 divide t?
True
Let r be 4 + (-2 - -8 - 1). Does 43 divide (-681208)/(-396) - 2/r?
True
Suppose -52*k = -1329596 + 410548. Is 289 a factor of k?
False
Let k(u) = 2 - 14 - 2*u**3 + 10*u**2 + 13*u + u**3. Suppose -18*d + 34 = 5*p - 17*d, 3*d + 50 = 4*p. Does 13 divide k(p)?
False
Suppose -3*v - 5*c + 15 = 0, -2*c = -5*v + c - 9. Suppose v = 2*b + 2*z - 910, 2*z = 2*b - 0*z - 894. Does 14 divide b?
False
Let t be -6 - (-8 + 0) - 0. Suppose -15*n + 2*h + 713 = -12*n, -4*n - t*h = -974. Is 18 a factor of n?
False
Let z(o) = o**2 + 2*o - 2. Let x be z(-3). Let a = -1526 + 1524. Does 32 divide 22 + -20 + (-376)/a*x?
False
Let m = -91 + 481. Let b(q) = -q**3 - 28*q**2 + 136*q + 26. Let g be b(-32). Let i = g + m. Is 10 a factor of i?
True
Let k(u) = -805*u - 10. Let o be k(-11). Suppose -39517 + o = -24*n. Does 35 divide n?
False
Suppose 0 = -3*p - 9, -3*d - 5*p = -0*d - 9105. Is d a multiple of 4?
True
Let a be 42*((-9)/18)/(1/(-15)). Suppose j - 25 = a. Is 10 a factor of j?
True
Let o(n) = -3*n**3 - 7*n**2 + 27*n + 3. Does 92 divide o(-11)?
True
Let h = -96 + 96. Suppose -7*i + 261 + 54 = h. Suppose -4*z + x + i = 0, -5*z + 2*z = 3*x - 15. Is 4 a factor of z?
False
Let s = -7075 + 8610. Is s a multiple of 66?
False
Let p be -103*3/(12/(-40)). Is 86 a factor of p + (-3)/(6/(-4))?
True
Suppose 0 = 4*o - 2*j + 418, -4*o - 6*j - 413 = -3*j. Let a = -53 - o. Is 3 a factor of a?
True
Suppose -31*u - 2*l = -27*u - 23864, -5*u - 5*l + 29830 = 0. Is 199 a factor of u?
False
Let l = -11850 + 16832. Is 26 a factor of l?
False
Let q(j) = j**3 - 16*j**2 + 7*j - 21. Let i be q(16). Let u(l) = 10*l - l**2 + i*l**3 - 10*l + 1 + 18*l**3. Is u(1) a multiple of 11?
False
Let d(y) = -y**2 + 7*y + 1. Let v be d(6). Suppose -5*o = -17*o + 132. Let b = o + v. Is 9 a factor of b?
True
Does 51 divide 68/(-12)*11/(66/(-1647))*4?
True
Suppose -3*p + 113 - 101 = 0. Suppose p*u + 8 = 0, 13*k - 3*u = 14*k - 938. Is 16 a factor of k?
True
Let i = -109 + 111. Is 2 a factor of i*(-690)/4*(-1)/5?
False
Suppose -3*m = -4 - 11. Suppose m*n - 12 - 2 = -q, -4*n + q = -4. Suppose n*h - 127 = 39. Is 21 a factor of h?
False
Suppose 4*b + 16 = 0, -m - 11*b = -16*b - 3562. Does 46 divide m?
True
Suppose 3*p - 54 = -48. Let q = 64 + -32. Suppose p*b = b + q. Is 8 a factor of b?
True
Let a = 36 + -39. Let o be (-1)/(-3)*-3 - a. Suppose -o*t + 5*t = 489. Is 28 a factor of t?
False
Suppose 0 = 7*c - 2*c - m - 112693, -c - 5*m + 22497 = 0. Is c a multiple of 16?
False
Suppose -k + 13 = -0*d + 4*d, 4*d = -4*k + 4. Let n be 24 + 4 + k + 3. Suppose -364 = -4*v + n. Is v a multiple of 14?
True
Let u(c) = 1102*c - 1900. Is u(36) a multiple of 136?
False
Let o be (-1*2 - (10 - 9))*2. Is (184/10)/(o/(-30)) a multiple of 9?
False
Suppose 4*z = -5*z + 252. Does 12 divide (1 - 5) + (z - -302)?
False
Suppose -4*d + 5*n = 4*n - 13, -2*d + 2*n + 2 = 0. Let a be (-5)/30*d*-3. Suppose 5*u + 127 = 3*i, i - 167 = -a*i - 5*u. Does 7 divide i?
True
Suppose -k + 228 = 1873. Let f = k - -835. Let w = -557 - f. Does 24 divide w?
False
Is 3693 - (920/(-76) + (-30)/(-285)) a multiple of 15?
True
Suppose 41*s = 45*s. Suppose 4*j - 1 = -5*d, -3*d = -2*j + 8 + 9. Suppose s = j*t - 0*z + 4*z - 104, -3*z = -4*t + 90. Does 14 divide t?
False
Let s(b) = -6*b + 28 + 16*b**2 + 7 - 2*b - b. Does 39 divide s(4)?
False
Suppose -11*l = -8*l + 13*l. Suppose 3*m = -15, -175 = -2*n - l*m + 5*m. Is 38 a factor of n?
False
Suppose 0 = 2*m + 3 - 1, 0 = 3*q - 5*m - 20. Suppose 4*t - 3 + 7 = -2*l, -5*t = q. Suppose -4*o = -8*o + 4*r + 488, l = 2*r + 10. Is 13 a factor of o?
True
Let k = -105 - -109. Suppose -j = -g - 353 - 114, 0 = -3*j - k*g + 1429. Does 36 divide j?
False
Suppose -4*y + 19308 = 6*c - 10*c, c - 19318 = -4*y. Is y a multiple of 11?
True
Suppose -60449 = 28*a - 311581. Is 64 a factor of a?
False
Let g be ((-3)/6)/(2/(-12)). Suppose 0 = -g*p + 3*n - 3, -4*n + 0 = -2*p - 8. Is 24 a factor of (-1710)/(-50) - p/10?
False
Let t be ((-2)/5 - -1)*165/11. Let p be -2*t/(-6)*(-256)/12. Does 6 divide ((-144)/(-32))/((-6)/p)?
True
Let p = -7563 + 16224. Is p a multiple of 30?
False
Is (684/189)/38 + (-353487)/(-63) a multiple of 65?
False
Let w = -20707 + 53698. Is 44 a factor of w?
False
Suppose -134*t + 258346 - 14734 = 0. Is 18 a factor of t?
True
Is 6 a factor of 439 - (8 - 52/6)*-3?
False
Suppose 0 = -5*w + 3*c + 10454, -3*w + c = -6*w + 6264. Does 83 divide w?
False
Let w(p) = -p**3 + 8*p**2 - 4*p - 20. Let x be w(6). Is (-1500)/(-40)*x/3 a multiple of 5?
True
Suppose 5*y = 3*a - 12 + 10, 0 = 5*a + 5*y + 10. Let d be 3/a + 3 + 14. Suppose -d*v - 3*v + 119 = 0. Is 7 a factor of v?
True
Let o(b) = -b**3 + 8*b**2 - 23*b - 155. Suppose -2*z + 26 = -4*t, -2*t - 22 = -0*t + 2*z. Is 59 a factor of o(t)?
False
Suppose 101 = u - 0*t - t, 0 = -2*u + 4*t + 202. Does 5 divide u?
False
Let z be -11 + (-2)/((-10)/(-15)). Does 28 divide 38/z + 4/(-14) - -199?
True
Let i(h) = -1398*h + 1182. Is i(-9) a multiple of 62?
True
Suppose 0 = -7*g - 3*g - 2240. Let j = -69 - g. Let f = -139 + j. Is 4 a factor of f?
True
Suppose -19*t - 4552 = -9601 - 9638. Is t a multiple of 2?
False
Let q(l) = -l**3 + 16*l**2 + 36. Suppose c + 45 = 6*c. Is 9 a factor of q(c)?
True
Suppose 2*g - 12 = 0, 5*d - 32722 = 8*g - 10*g. Is 113 a factor of d?
False
Let z(x) = x. Let d be z(4). Suppose -h + 5 = -p, -10*p + 11*p = 3*h - 1. Does 11 divide p/((-70)/(-16))*(-110)/d?
True
Let p(q) = 2*q**3 + 8*q**2 + 2*q - 8. Let u(k) = k**3 + 7*k**2 + 2*k - 7. Let i(x) = -5*p(x) + 6*u(x). Let f be i(-2). Is 34 a factor of -1 - -2*(0 + f)?
False
Suppose -3*d - 12684 = -9*d. Suppose 2*g + 2*k = 2104, -7*g = -5*g - 3*k - d. Is g a multiple of 37?
False
Suppose -3*y = -23 + 14. Suppose p = -3*f - 148, 4*p = y*f + 71 + 87. Let x = f + 162. Does 16 divide x?
True
Let z(f) = 2*f**2 + 22*f - 45. Suppose 5*v = 2*l + 7*v - 10, -v - 10 = -4*l. Is z(l) a multiple of 2?
False
Let i = 16629 - 12696. Is 255 a factor of i?
False
Suppose -31*t = -43 - 81. Is (39/t)/((-9)/(-312)) a multiple of 5?
False
Suppose 6*k + 634 = 2*j + k, -k + 1585 = 5*j. Let a = j + -103. Does 44 divide a?
False
Let b(q) = 10*q**2 + 5*q - 16*q**2 - 2*q - 6 + 7*q**2. Let p be b(-3). Does 35 divide ((-134)/p + 1)/((-9)/(-54))?
True
Suppose 778 = 3*d + 4*w - 301, 5*d - 1806 = w. Suppose 2*f + 95 = d. Is 36 a factor of f?
False
Suppose -403 = -o + 955. Suppose 4*a - o = -2*d, 2*a + 2153 = -5*d + 5548. Is d a multiple of 7?
True
Suppose -10*o + 14*o + 580 = 0. Is 27 a factor of (80/50 + 0)/((-1)/o)?
False
Suppose 1368 = 9*s - 5*s. Suppose -s = -3*n - 2*h, -4*h = h. Let t = -6 + n. Is 23 a factor of t?
False
Suppose 2*l = -l - 246. Let d = l + 80. Is (6/9)/(0 - d/27) a multiple of 3?
True
Let f = -3319 + 8467. Is f a multiple of 33?
True
Suppose 0 = 3*j - 72 + 66. Suppose -2*p + 0*u + 320 = -2*u, -j*u + 160 = p. Does 40 divide p?
True
Let p = -25 - -147. Suppose 4*t = 2*k - 190, p - 294 = -2*k - 5*t. Let o = 121 - k. Does 12 divide o?
False
Suppose 2*q + w = 7, 2*q + 2*q = 4*w - 4. Let r(t) = -16 - 6 - 13*t + 36 + t**q. Is r(14) a multiple of 3?
False
Let r(s) = -2*s**3 - 3*s**2. Let n be r(-2). Suppose n*a = 0, 4*a = 2*v - 176 - 164. Let m = 284 - v. Does 19 divide m?
True
Let a = -53 + 14. Suppose 4*f + 111 = -353. Let o = a - f. Does 11 divide o?
True
Let s(
|
{
"pile_set_name": "DM Mathematics"
}
|
3
Suppose 39*l - 74542 = -9451. What is the tens digit of l?
6
Suppose 60*x - 62*x - 842 = 0. Let i = -266 - x. What is the hundreds digit of i?
1
What is the hundreds digit of (-119829)/59*1/(-3)?
6
Suppose y = 5*m + 293, 4*m - 82 = y - 316. Let p = -91 - m. Let s = p + 64. What is the units digit of s?
2
Suppose 7*p - 5491 = -10*p. What is the units digit of p?
3
Suppose 1577 = 4*j - 3*o, -2*j - 6*o = -10*o - 776. What is the hundreds digit of j?
3
Let d(z) = 3*z**2 - 2*z + 3. Let x(j) = j - 2. Let s be x(7). Suppose s*b + h - 14 = 0, b + 2*h + 3*h + 2 = 0. What is the units digit of d(b)?
4
Let h = 52 - 43. Let w(m) = 4*m + 3. What is the units digit of w(h)?
9
Suppose -3*f + x + x = 78, 2*x + 26 = -f. Let d = f - -52. Suppose -d = -4*p + 2. What is the units digit of p?
7
Suppose 5*r + 2*d - 4 = 10, -4*r - 4*d + 4 = 0. Let c = -2 + r. What is the units digit of c/(-3) + 60/9?
6
Let u be -18*(3/(-5) - (-1203)/(-45)). Let r = u + -222. What is the hundreds digit of r?
2
Suppose 2*y - 4*q - 244 = 0, 3*q - 12 = 7*q. What is the hundreds digit of y?
1
Let i be 433/4 + (-5)/20. Suppose -2*y - y - o = -i, 2*o = 5*y - 169. What is the tens digit of y?
3
Let b(v) = 276*v**2 - 4. What is the hundreds digit of b(-3)?
4
Suppose -o - 2*o = -15. Suppose 2*k = -0*k + 10, 0 = -o*p + 4*k - 5. Suppose -7*t + 108 = -p*t. What is the tens digit of t?
2
Let s = -4806 - -6867. What is the tens digit of s?
6
Let z = -14 + 14. Suppose 3 + z = q. Suppose 0 = -q*l - l + 68. What is the units digit of l?
7
Let m = -2 + -2. Let p(u) = 3*u**2 + 6*u. What is the units digit of p(m)?
4
Let c(t) = 2*t**2 + t - 2. Let g be c(-2). Suppose 5*p = -g*v - 50, 0*p - 7 = -3*p + 5*v. What is the tens digit of (p/3)/(4/(-38))?
1
Let x be 16/(-48)*(3 + 0)*-261. Let u = 413 - x. What is the units digit of u?
2
Let n(p) = p**3 - 5*p**2 - 5*p - 7. Let c be n(6). What is the units digit of (3/6)/((-1)/2 - c)?
1
Let h = -7 - -21. What is the units digit of (-88)/(-14) - 4/h?
6
Suppose -3*c = 212*x - 207*x - 8058, 3*c - 2*x = 8058. What is the tens digit of c?
8
Let v(j) = j**3 - j**2 - 4*j + 10. Let m be v(-3). Let x = m - -98. What is the tens digit of x?
8
What is the units digit of 75/(-6)*((-11904)/10)/6?
0
Let f(k) be the first derivative of k**2/2 - 2*k + 3. Let r be f(2). Suppose -x - 5*d - 14 = r, 3*d + 12 = -3. What is the tens digit of x?
1
Let l be (-2)/((-4)/(-1))*-10. Suppose -l*d + 267 = -5*h - 18, 0 = d + h - 51. What is the units digit of d?
4
Let y(l) = 10*l**2 - 40*l + 72. What is the units digit of y(16)?
2
Let n(g) = 79*g**2 - 3*g + 1. Suppose -4*p - 14 = -18. What is the tens digit of n(p)?
7
Suppose 2*x - 3*i - 1587 = -x, -1595 = -3*x - i. What is the hundreds digit of x?
5
Let g = -112 - -157. Let f = 100 - g. What is the units digit of f?
5
Let g(p) = 377*p - 609. What is the units digit of g(12)?
5
Let b be 3 + (3 - 4)/((-1)/(-95)). What is the tens digit of 3/9*-3 - b?
9
Let m = 64 + -67. What is the tens digit of ((-1414)/21)/(2/m)?
0
Let u = -157 - -284. What is the tens digit of u?
2
Suppose -172 = -17*v + 1086. Let h = -47 + v. What is the tens digit of h?
2
What is the units digit of (1686/(-5))/(99/(-165))?
2
Let r be ((-3)/(-6))/((-2)/8). Let y = r + 20. Let n = y + -17. What is the units digit of n?
1
Let h(u) = -3*u**3 - 6*u**2 + 3*u + 17. Let m be h(-5). Suppose -5*y - 3*w = -m, 225 = 4*y - 4*w + 37. What is the units digit of y?
6
Suppose 0 = 2*p - 38 + 34. Suppose -5*u = -4*i - 600, p*u + 2*u - 3*i - 480 = 0. What is the tens digit of u?
2
Let i(w) = 7*w**2 + 3*w. What is the tens digit of i(6)?
7
Let t be 1/(-5 + 4)*-2. Let i be (-5)/t*264/(-30). Let n = i - 6. What is the tens digit of n?
1
Suppose -k - 407 = -6*k - 3*y, -2*y - 2 = 0. Let m = -47 + k. What is the units digit of m?
5
Let u = -58 + 633. What is the tens digit of u?
7
Suppose 0 = 4*g - 16, -9*b + g - 629 = -14*b. What is the units digit of b?
5
Let l = -83 - -195. Suppose 0 = 4*g - 4*c + l, 59 = -2*g + 2*c - 3*c. Let h = 59 + g. What is the tens digit of h?
3
Suppose -r + 24 = 23, 2*h = -5*r + 6943. What is the hundreds digit of h?
4
Let l(h) = -20*h - 13. Let x(z) = z. Let o(w) = l(w) + 4*x(w). What is the units digit of o(-7)?
9
Let z be (-4)/16 + -1 + 26/8. Suppose -5*u + 3*b + 215 = 0, 2*b - z + 38 = u. What is the tens digit of u?
4
Suppose -4 + 8 = l. Let s be (l/(-4))/(2/(-18)). Let d = s - -28. What is the units digit of d?
7
Suppose w + 1241 - 14703 = -3*f, -5*f = -5*w - 22450. Suppose 23*u - 6*u = f. What is the tens digit of u?
6
Let l(s) = -s**3 + 18*s**2 - 21*s + 15. Let q be l(14). Suppose -5*z + 0*z + 3*m = -q, 5*z + 2*m - 480 = 0. What is the tens digit of z?
9
Let q(b) = -b**3 + 2*b**2 - b + 11. Suppose -v = -2*v. Let d be q(v). What is the units digit of 18/99 + 9/d?
1
Suppose -3*v - 4*p = 4, p = -v - 2*p + 2. Let f = -1 - v. What is the units digit of -4*(-2 - 1) - f?
9
Let d(s) = -7*s - 11. Let z be d(-7). Let u = 5 + z. What is the units digit of u?
3
Suppose 5*l - 977 = -192. Suppose 3*i = l + 8. What is the tens digit of i?
5
Suppose -2545 - 2603 = -6*q. What is the tens digit of q?
5
Suppose 0 = 3*k - 89 - 1. Suppose k = 3*u + 2*u. Suppose -4*o + 2*s - u*s = -112, 2 = -s. What is the tens digit of o?
3
Let q(z) = -54*z + 15. Let l be q(-5). Suppose o + 0*o = l. What is the tens digit of (-16)/(-6)*o/20?
3
Let o(l) = -5*l**3 + 2*l**2 - 14*l - 16. Let y(q) = 4*q**3 - 3*q**2 + 13*q + 17. Let j(v) = 3*o(v) + 4*y(v). What is the units digit of j(6)?
0
Let o(c) = 43*c + 18. What is the hundreds digit of o(12)?
5
Let x = -30 - -30. Suppose 3*i = 2*h - 27 - 73, 4*i + 16 = x. What is the units digit of h?
4
Suppose -50 = -10*c + 8*c. What is the hundreds digit of -1*c/10*-102?
2
Suppose 10 = 3*w + 2*w. Let r(p) = 2*p**2 + 3*p + 2. Let n be r(4). What is the units digit of (n/w)/(3 + -2)?
3
Suppose -2*n = -7 - 7. Let b be n + (-6)/(2/(-1)). What is the units digit of ((-19)/(-5))/(2/b)?
9
Let a = -2358 - -4169. What is the thousands digit of a?
1
Let f(z) = -9*z**2 - z. Let i be f(1). Let s(r) = r**2 + 5*r + 1. What is the tens digit of s(i)?
5
Let w be (-2)/3 + 120/18. Suppose w*y - 4 = 4*y. Suppose 2*f = -y*f + 72. What is the tens digit of f?
1
Suppose -5*d = -3*o + 11561, 2*o + 2255 = 4*d + 9959. What is the tens digit of o?
6
Let l(x) = 12*x - 36. Let a be l(9). Suppose -68*y + a = -67*y. What is the units digit of y?
2
Let x be 3/(-15) - 822/(-10). Let q be 620/(-14) + 4/14. Let b = x + q. What is the tens digit of b?
3
Suppose 2*q + 8*q - 410 = 0. Let t = q - 25. What is the units digit of t?
6
Let r = -202 - -1086. What is the tens digit of r?
8
Suppose -3*f + 4*j + 2885 = 0, -3*f = -5*f + 3*j + 1925. What is the units digit of f?
5
Let c(d) = d**3 - 7*d**2 - 9*d + 13. Let n be c(7). Let f = n + 108. What is the units digit of f?
8
Let j(o) be the third derivative of -3*o**2 + 1/30*o**6 + 0 - 1/60*o**5 + 0*o + 1/24*o**4 - 1/6*o**3. What is the units digit of j(1)?
3
Let c(s) = -s**2 + 3*s + 4. Let i be c(-9). Let l = i + 149. What is the tens digit of l?
4
What is the tens digit of ((-214)/(-7))/(3/42)?
2
What is the hundreds digit of (1 - 18/(-2))*57?
5
Let d(p) = -69*p + 18. Let l be d(-8). Suppose 0*x + x - 3*w = 114, 2*w = -5*x + l. What is the units digit of x?
4
Let t = -59 - -59. Suppose u + 7 - 2 = t, -5*f + 515 = 3*u. What is the hundreds digit of f?
1
Let q be 9/(-54) + 13/6. Suppose 14 = -2*l - 4*j, 5*j = q*l + 3*l - 40. Suppose -4*v + m + 2*m + 131 = 0, l*v - 5*m = 90. What is the units digit of v?
5
Let n = -164 - -322. Let f = -80 + n. What is the tens digit of f?
7
Let z(l) = -l**2 - 9*l + 1. Let v = 27 - 35. Let g be z(v). Suppose -t = 3*w - 2 - 14, 0 = -2*w - t + g. What is the units digit of w?
7
Let f(j) = -3*j**3 - j**2 - j - 2. Let a(i) = i**2 + 0*i + i + 5*i - 9. Let k be a(-7). What is the tens digit of f(k)?
2
Let b(h) = 452*h**2 - 4*h - 2. What is the units digit of b(-1)?
4
What is the thousands digit of 1/((-6)/9)*-1574?
2
Let x(a) be the second derivative of a**4/12 + a**3/6 - 7*a**2/2 + a. Suppose 5*h = -5*r - 15, -4*r + 5 - 12 = 3*h. What is the units digit of x(h)?
3
What is the tens digit of (2/(-6))/(((-42)/11862)/7)?
5
Let i be (-20)/(-15)*153/6. Suppose -15 = -l + i. What is the units digit of l?
9
Suppose 5*m = -6405 + 23
|
{
"pile_set_name": "DM Mathematics"
}
|
be k(q). Calculate j(g).
-4
Suppose 0 = 10*j - 4*j + 18. Let f(d) = -6*d - 3. Give f(j).
15
Let a(u) = -u - 3*u + 2*u + 3 - u**2 + 0. Calculate a(-3).
0
Let j(u) = -u**3 + 5*u**2 - 2*u + 7. Let r(s) = s**3 - 11*s**2 - 24*s - 21. Let a be r(13). What is j(a)?
-3
Let l(d) = d**2 - 7*d - 1. Let b(i) = i. Let s(u) = 5*b(u) + l(u). Determine s(2).
-1
Let h(w) be the third derivative of w**4/24 + 17*w**3/6 + w**2. Determine h(0).
17
Let m(o) = -4*o**2 - 7*o + 4. Let a(t) = t**2 + 2*t - 1. Let d(p) = 7*a(p) + 2*m(p). Let i(j) = 2*j**2 + 4*j + 1. Let w(b) = -3*d(b) - i(b). Determine w(4).
-4
Let n(l) = l**2 - 8*l + 1. Let k be ((-36)/15)/((-6)/20). Let g be 9/2 - (-12)/k. What is n(g)?
-11
Let i(t) be the third derivative of -t**4/12 - 2*t**3/3 - 5*t**2. Determine i(-5).
6
Let q(a) = 2*a - 4. Suppose 5*o - 2*c + 5 = 0, 4*o + 5*c + 2 = -2. Let g be (0 + o)/(3/(-9)). What is q(g)?
2
Let g(c) = c**2 + c. Let j(n) = -7*n**2 - 11*n. Let i(m) = -6*g(m) - j(m). What is i(-5)?
0
Let i(d) = 14*d - 45*d + 15*d + 26*d. Calculate i(1).
10
Suppose 6 = 5*t - 14. Let m(w) = -2*w + 2 + 2 - 2 - t*w**2 + w**3. What is m(4)?
-6
Let a be 8/6*(-18)/(-8)*-2. Let l(y) = -4*y + 0 - 4 - 3*y - y**2. Determine l(a).
2
Let j(m) be the third derivative of m**4/24 + 35*m**2. Suppose 4 = -0*o + 2*o. Calculate j(o).
2
Let q(l) = 3*l**2 - 2*l - 2. Let m be q(2). Let a(s) = s. What is a(m)?
6
Suppose -6*u + 19 = -5. Let f(w) = -w - 2. Give f(u).
-6
Let t(r) = -r**3 + 4*r**2 - 2*r. Let n(p) be the first derivative of -p**3/3 - 5*p**2/2 + 2*p + 3. Let c be n(-5). Calculate t(c).
4
Suppose 9*q = 4*q - 3*p - 10, 5*p = -q - 24. Let y(z) = 7*z - 1. What is y(q)?
6
Suppose -3*i + 20 = 2*i. Suppose 0 = i*x + 7 - 19. Let n(b) = -b**3 + 2*b**2 + b + 2. What is n(x)?
-4
Let c(i) = -i**3 - 4*i**2 - i - 2. Let l(z) = -z**2 - 4*z + 1. Let r be l(-6). Let v = 7 + r. Give c(v).
2
Let f(n) = 6*n**2 + 6*n**2 + 1 - 14*n**2. Calculate f(-2).
-7
Let k(t) be the second derivative of t**5/20 - t**4/4 - 2*t**2 + 12*t. Give k(3).
-4
Let b(f) = f**3 - f + 8. Let p(m) be the first derivative of m**2/2 + m + 1. Let c be p(-1). Give b(c).
8
Suppose v - 2 - 4 = 0. Suppose -v*w - 9 = -3*w. Let s(c) = -c**2 - 3*c - 2. What is s(w)?
-2
Let q(u) be the second derivative of -u**5/20 - 7*u**4/12 + u**3/6 + 5*u**2/2 - 13*u + 2. What is q(-7)?
-2
Let l be (29 - 25)*6/4. Let d(z) = z**2 - 5*z + 1. Give d(l).
7
Let g = 32 + -24. Let f(q) = q**2 - 9*q + 11. Give f(g).
3
Let l(x) = 2*x - 1 - 1 - x. Let p be l(-3). Let k(f) be the first derivative of -f**2/2 - 18. What is k(p)?
5
Let x(c) = 5*c**2 - 3*c - 4. Let l(a) = -6*a**2 + 3*a + 4. Let o(q) = 6*l(q) + 7*x(q). Let z be o(-3). Let y(j) = j**2 + 7*j + 4. Determine y(z).
-8
Let x(o) = -o**3 + 3*o**2 - 2*o + 2. Let t be x(2). Let f(n) = n**3 - 2*n**2 + 2*n - 1. Give f(t).
3
Let z = -20 - -26. Suppose 0 = -2*g + l - z, g - 4*g = 5*l + 9. Let u(j) = -j**3 - 2*j**2 + 2*j. Give u(g).
3
Let n(b) = b**3 - 8*b**2 + b - 3. Let o be n(8). Let m(x) = -x**2 + 6*x. Calculate m(o).
5
Let c(p) be the second derivative of p**7/840 - p**6/72 - 5*p**4/24 + p**3/2 - 4*p. Let n(l) be the second derivative of c(l). Determine n(5).
-5
Suppose 0 = 2*j + 5*p + 47, 8 = -j - 3*p - 17. Let d = 11 + j. Let v(o) = -o - 6. Determine v(d).
-1
Let j(w) = w**3 - 4*w**2 + 4*w - 3. Let m(v) = v**2 - 5*v - 3. Let t be m(6). What is j(t)?
0
Suppose m = -0*m - 6. Let y be 1/6 + (-29)/m. Let s(x) = 5*x**2 - 2*x - 11. Let w(t) = -14*t**2 + 5*t + 32. Let l(d) = 17*s(d) + 6*w(d). Determine l(y).
10
Let u(c) be the third derivative of 7*c**5/20 - 5*c**2. Determine u(1).
21
Let l = -13 - -13. Let r(z) = z**2. What is r(l)?
0
Let j(x) be the first derivative of -2*x**3/3 - 4*x**2 - 3*x + 1. Let d be 1/(14/5 - 3). Determine j(d).
-13
Let m be (3 - -12)*(-4)/(-6). Let w be (4/(-10))/((-2)/m). Let q(b) = 9 + b + 6*b + b**2 - w. Determine q(-5).
-3
Let c(y) = y**2 - 6*y + 1. Let o be (6/18)/(2/24). What is c(o)?
-7
Suppose -y + 2*y = -2*p + 5, 0 = 3*y + 4*p - 21. Let u(c) = 2*c + 11. Let w(v) = -v - 6. Let b(m) = y*w(m) + 6*u(m). Let k = 5 - 0. Give b(k).
5
Let q(f) be the third derivative of -f**6/120 - f**5/20 + f**4/6 + f**3/3 - 5*f**2. What is q(-4)?
2
Let o(d) = -d + d + 3*d + 7. Let s(c) = c. Let i be s(5). Suppose 0 = -2*w + i*h - 5, -5*w + 4 = 4*h + 33. What is o(w)?
-8
Let t(j) = -j**2 - 5*j - 1. Suppose -4*s - 26 = -2*i, -20 = s + 4*i - 9*i. Let k be t(s). Let o(y) = 4*y + 1. Calculate o(k).
-3
Let x(o) = -o**2. Let f be x(1). Let b be f/(-1*2/10). Let a(n) = n**3 - 6*n**2 + 5*n - 6. What is a(b)?
-6
Let c(d) be the second derivative of -d**3/2 + 7*d**2/2 - 2*d. What is c(5)?
-8
Suppose 5 = -o - 1. Let r be 1 + (-1)/(1/(-2)). Let g(w) = r*w + 1 + 0*w - 4*w. Give g(o).
7
Let b(n) = 1 + 0 + 2*n - 3. Let c = 19 - 22. Determine b(c).
-8
Let a(h) = -h**3 - 12*h**2 + 13*h + 2. Let m be a(-13). Let o = 5 + 0. Let y(x) = -x**2 - 3 + o - 2*x + 0. Determine y(m).
-6
Let f(l) = -l**3 + l + 7. Suppose 0 = -0*o - 4*o. Give f(o).
7
Let y(g) = -g**2 + 7*g - 4. Let f be y(6). Let v(h) = 0*h + h**2 + 5 - 4 + f*h. Calculate v(-1).
0
Let f(l) = -2*l**2 + 4*l**2 + 0*l**2. Let t = 91 + -89. Give f(t).
8
Let d(s) = s**2 - 9*s - 3. Let r(b) = -b**3 - 5*b**2 + 5*b + 3. Let j be r(-6). Let h be d(j). Let w(u) = u**3 + 3*u**2 + 2. Determine w(h).
2
Let g(l) be the second derivative of -l**8/6720 - l**7/504 - l**6/720 - l**5/120 - l**4/4 + 2*l. Let r(v) be the third derivative of g(v). Calculate r(-5).
4
Let d(f) = -f - 6*f**2 + 2*f + f**3 + 2 + 11*f**2 - 6*f. Determine d(-6).
-4
Let v = -7 + 6. Let i(p) = -2*p**3 + p. What is i(v)?
1
Let t(h) = -h**2 - 3*h + 3. Let o(a) = -a + 1. Let l(c) = 3*o(c) - t(c). Determine l(-2).
4
Let r(d) = 4*d - 4. Let w = 7 - 6. Let n(t) = 4*t**3 - t**2 - t + 1. Let p be n(w). Determine r(p).
8
Let q(l) = 5*l**3 - 19*l**2 + 5*l - 2. Let g = 5 + -9. Let c(m) = 3*m**3 - 10*m**2 + 3*m - 1. Let d(i) = g*q(i) + 7*c(i). What is d(-6)?
-5
Suppose -11 - 19 = -5*s. Let n(y) = y**3 - 6*y**2 + 2*y - 2. Calculate n(s).
10
Let a be (2 + -1)/(-1 + 2). Let w(x) = 2*x - x**2 + 3 - 3 + a. Determine w(3).
-2
Suppose 5*t = -5*l - 45, 0*l + l - 3*t = 11. Let j(b) be the first derivative of 3*b**2/2 + 2*b + 2. Give j(l).
-10
Let h(v) be the second derivative of v**5/60 + v**3/6 + v**2/2 - v. Let d(s) be the first derivative of h(s). Let w be 1/3 + 2/(-6). Give d(w).
1
Let k(v) be the first derivative of -v**3/6 + v**2 - 2*v - 3. Let h(a) be the first derivative of k(a). Suppose 20 = -3*s - 2*s. What is h(s)?
6
Let q(f) be the first derivative of -2*f**2 - 2*f + 10. Give q(-3).
10
Let u(m) = -5*m**3 + 31*m**2 + 25*m - 36. Let s(l) = -l**3 + 6*l**2 + 5*l - 7. Let z(h) = 11*s(h) - 2*u(h). Suppose 3*d - 6 - 9 = 0. Determine z(d).
-5
Suppose 4*w - a + 24 = 3*a, 4*w + 3*a = -17. Let p(l) = -4 + l**2 + 2 + 2 + 6*l + 2. What is p(w)?
-3
Let l(v) = v + 5. Let p(w) = 3 + 2 - 3 - 3. Let f(k) = l(k) + p(k). What is f(-2)?
2
Let v(s) = 2*s + 5. Suppose -2*f + 5*c - 14 + 4 = 0, 5 = -f - 4*c. Calculate v(f).
-5
Let x(m) = -2*m. Let h(g) = -g**2 - 3*g - 3. Let k be h(-2). Let d be x(k). Let u(p) = -p**3 - 5*p**d - 9*p + 5*p + 0*p**2. Give u(-3).
-6
Suppose 2*j + 20 = -4*t - 18, t + 3*j + 2 = 0. Let x = 11 + t. Let g(s) = s**2 + s + 6. Give g(x).
6
Suppose 32*a + 8 = 36*a. Let m(j) = 3*j**2 - 3*j + 1. What is m(a)?
7
Let y(t) = 2*t + 1. Let x(w) = w**2 - 12*w - 1. Let v be x(12). Give y(v).
-1
Let u(x) = -x**3 + 5*x**2 + 5. Let s be ((-10)/(-6) - 2)*-6. Suppose 8 - s = y. Let a be (-4)/y - (-34)/6. Calculate u(a).
5
Let k(i) = -i + 1. Suppose 5*j - 5*m - 35 = 0, 0 = -5*j - m + 41 + 12. Let p(d) = 10*d - 3 - 2*d**2 - 5*d**2 + 6*d**2. Let t be p(j). Give k(t).
4
Suppose 4*b - 28 - 5 = -5*m, 4*b - m - 3 = 0. Let j(u) = u - 3. What is j(b)?
-1
Let k = -26 - -31. Let t(d) = -d + 2. Calculate t(k).
-3
Suppose 0 = -3*d + j + 14, -3*d + 6*j - j = -22. Let u = d + -5. Let o(x) = -3*x - 1. Let a(w) = 2*w + 1. Let i(s) = 5*a(s) + 4*o(s). Determine i(u).
3
Let i(a) = -7*a**3 + 2*a**2 - 2*a + 1. Suppose -5 = 22*u - 27*u. Calculate i(u).
-6
Let u(j) = -j**2 + 2*j + 4. Let l be u(4). Let g(r) = r**2 + 6*r + 2. Let z be g(l). Let q(m) = 1 - m**2 + 6*m + 2 - 13*m + 2*m. What is q(z)?
-3
Let q(c) be the first derivative of -8*c**3/3 + c**2/2 - 15. What is q(1
|
{
"pile_set_name": "DM Mathematics"
}
|
s u(8) prime?
False
Suppose 2*n - 5*n - 179526 = -3*r, -3*n = -4*r + 239365. Is r a prime number?
False
Suppose -11*d + 7*d = -40. Let x(m) = 993*m + 47. Is x(d) prime?
False
Suppose 13*h = 27894 + 42145 + 337888. Is h a prime number?
True
Suppose -429*f - 89 = -430*f. Let u = 231 - f. Is u a prime number?
False
Is (0 - 3062330/(-6)) + (-26)/(-39) a prime number?
False
Is 44/10 - 3/(-5) - (-26246088)/66 prime?
True
Is (468008/12)/(((-2)/(-2))/(117/78)) prime?
False
Suppose -5*c + 2019 = -1111. Let r be (c/3)/(4/(-6)). Let g = 244 - r. Is g prime?
True
Suppose 4*a + 5*q = 29468, q - 33867 - 2989 = -5*a. Let x = a - 4373. Is x a composite number?
False
Is -7 + 150977 + 19 + -6 prime?
False
Let a(f) = -4*f**3 - 3*f**2 - 1. Let d be a(-2). Is 16/2 + d + 587 prime?
False
Let y = 2642 + -1357. Let b = 8798 - y. Is b a composite number?
True
Suppose 360467 = 5*l - 5*m + 14807, -5*m + 345670 = 5*l. Is l prime?
False
Is 2167335/(-24)*2/(-5)*4 prime?
False
Let m(u) = -31*u**3 - 4*u**2 - 17*u - 35. Let s(h) = -63*h**3 - 9*h**2 - 35*h - 71. Let n(g) = 13*m(g) - 6*s(g). Is n(-6) prime?
False
Let z(u) = 100 + 8*u**2 + 430*u - 4 + 7*u**3 - 458*u. Is z(5) a prime number?
True
Let o = -8 + 12. Suppose o*b - 20 = 0, -4*c - 3*b + 24 = -c. Is c/12 - 2844/(-16) a prime number?
False
Let j(p) = -1576*p + 1. Let s(d) = -315*d. Let t(h) = 2*j(h) - 11*s(h). Let o be ((-36)/(-48))/(2/24). Is t(o) composite?
False
Let n = 820192 - 435999. Is n composite?
False
Suppose 41*c + 4*b + 17 = 42*c, 2*c = -3*b - 10. Is 1/(((-4)/(-34628))/c) prime?
False
Let j(d) = 4*d**2 - 1641*d**3 + d + 1616*d**3 - 4*d**2 - 2*d**2 - 5. Is j(-5) composite?
True
Let j be 0/((12/15)/((-4)/(-10))). Suppose j*z + 96 = -6*z. Is z/(-120) - 163/(-15) a prime number?
True
Suppose -2*o - 4 + 0 = 0. Suppose -2*q - 3*t - 11369 = 0, 3*q - 3*t + 17060 = -t. Is (5 - q)*o/(-6) a prime number?
False
Let k(i) = 11661*i - 469. Is k(2) composite?
False
Let y be 0 + 42/(-112) + 11946/(-16). Is (y - (-3 + 3))*(-10)/30 a composite number?
True
Let i(p) be the second derivative of 29*p**5/120 - 25*p**4/24 - 4*p**3/3 + 3*p. Let w(t) be the second derivative of i(t). Is w(6) composite?
False
Suppose 0 = 5*c - 15*c + 360. Suppose -c*w + 326 = -34*w. Is w a composite number?
False
Let h(w) = -w + 5. Let k be h(3). Let f be -330*-1*k*20. Is f/45 - 1/3 a composite number?
False
Suppose 5 = -2*o + 15. Suppose -959 = -o*a - 244. Suppose 0 = -3*d + a - 2. Is d a composite number?
False
Let m = -62 - -67. Let g be m/2*(-96)/(-40). Suppose g*l = 1350 + 492. Is l prime?
True
Suppose 104*t - 45*t + 79*t - 6936018 = 0. Is t prime?
True
Let q = 65051 + -33472. Is q composite?
True
Suppose -392094 = -13*c - 14*c. Suppose 2*l - c + 3875 = -q, -2*q - 2*l = -21290. Is q composite?
True
Let f(z) = z**3 + 11*z**2 + 18*z + 22. Let c be f(-9). Let t be (-1)/(1/2) + (-2137 - c). Let m = 3692 + t. Is m composite?
False
Let a(c) = 6*c**3 + c**2 - 1. Let b be a(1). Let h(y) = 3*y**2 + 4*y - 11 + 2*y**2 + b*y**2 - 5*y**2. Is h(-5) composite?
True
Suppose 3*d - 3 = 3*o, -6*d + 4*d - 4*o - 22 = 0. Is (-741741)/(-77) - (-1 - d/(-1)) a prime number?
False
Suppose 6*v = 31 + 323. Let k = -64 + v. Is 1 - 7350/(k - 0) prime?
True
Let r be 2459/((5 + -8)/(-132)). Suppose 4*b - r = -h, 3*h - 8*h = b - 27049. Is b composite?
True
Suppose 21 - 19 = 2*o. Let y be (-1 + 1)/o*-1. Let q(u) = u**2 + 223. Is q(y) prime?
True
Let z(b) = -27081*b + 38. Is z(-1) a prime number?
False
Let h(k) = 5*k + 6. Let p be h(4). Let z be -1*9*(-1508)/p. Let u = 629 + z. Is u prime?
True
Suppose -4*r = 2*y + r - 2, 0 = -4*y - 2*r + 36. Let t be (-10 + y)/((-1)/31). Let f = 286 - t. Is f prime?
True
Let g be 45/18*(0 - -4106). Suppose 0 = -24*u + 29*u - g. Is u a composite number?
False
Suppose -5*d + 3*c + 2*c = -150, c = -1. Suppose z = 4*y + 13, 0*z - 2*z - 3*y = d. Let r = z + 774. Is r a prime number?
False
Suppose -5*c - 3 = -2*c. Let f be (-2 + 1 - c)/(0 - -2). Suppose f = 12*w - 9*w - 1371. Is w a prime number?
True
Let w = -15125 - -10177. Let z = 10417 + w. Is z composite?
True
Let f be 4/12 + (-17702)/6. Suppose 0 = 5*h + 4*u - 20668, -3*u - 12417 = -3*h - 0*u. Let i = h + f. Is i prime?
False
Suppose 2*l - z = 4*z + 1395, 0 = -3*z - 15. Suppose j - l = -3*d, 32 + 1318 = 2*j + d. Is j composite?
False
Let q be 7 - 5 - 3/(-3). Is 8284/q - (20/(-12))/(-5) prime?
False
Let o(b) = -b**2 - 3*b + 130. Let d be o(-13). Suppose 5*l = 3*l + 11422. Suppose -3*v + 5*g + l = d, -v + 6*v - 9529 = 3*g. Is v a composite number?
False
Let l(v) = 15*v + 2*v - 2*v - 8*v**3 - 8*v - 21 - 7*v**3. Is l(-8) a prime number?
True
Let m(y) = -3*y + 46. Let v(x) = -15*x - 5. Let b be v(-6). Let l = -104 + b. Is m(l) composite?
False
Suppose -x - 25 = -29. Suppose q - 3*o = x*q - 15711, -5*q + 26221 = -4*o. Is q composite?
True
Let j(x) = -3*x**2 - 12*x + 9. Let b be j(-5). Is (-10)/b + 1020004/138 prime?
True
Let k(t) = t**3 + 13*t**2 + 26*t - 14. Let o be k(-10). Is 2569/(-3)*(o + -29) composite?
True
Suppose -4*n = 3*x + 60, x - 60 = 4*n + 2*x. Let o(h) = -27*h**2 - 31*h**2 + 3*h - 6*h + 14 + 59*h**2 - 3*h. Is o(n) prime?
False
Let m(p) = 76*p**2 + 70*p + 1173. Is m(-26) composite?
True
Let t = -5234 + 9463. Is t composite?
False
Suppose -x + 207 = c - 343, -2*x - 3*c + 1095 = 0. Is ((-3453)/12)/(-4 - x/(-140)) a composite number?
True
Suppose 3*m + 174 = 804. Let x = 392 + m. Suppose x = z + 243. Is z composite?
False
Let o = 190 - 184. Suppose o*c - 2346 - 2472 = 0. Is c a prime number?
False
Suppose 0 = 5*i + c - 1620, 2*c - 12 = -2. Let l(f) = f**3 - 10*f**2 - 7*f + 12. Let n be l(9). Let o = i + n. Is o composite?
False
Is 2*((-367334)/12*-3 - 3) a composite number?
False
Let n(t) = 7*t - 57. Let g be n(8). Is -2 - (-3*352 - g)*3 a composite number?
False
Let q(v) = -v**3 + v**2 - 2*v + 11. Let o be q(0). Let u = o + 7. Is (-28)/(-6)*u/48*124 a composite number?
True
Suppose 2*a - 13 = -3. Suppose -v = -l + 16 - 6, -2*l + a = v. Suppose -i + l*p + 253 = 0, 4*i - 1385 = -i + p. Is i a composite number?
True
Let n = -48 - -52. Suppose -n*d + 1074 = -0*z + 2*z, z + 5*d = 531. Is z prime?
True
Let j be -1 + (-58)/(-6) + 14/42. Let y(a) = a**3 - 8*a**2 - 9*a + 7. Let b be y(j). Is b*((234 - -3) + 4) a composite number?
True
Suppose 0 = b - 6*b + 20. Suppose -4*s = b*s - 90640. Suppose -3*h + 3559 = -s. Is h prime?
False
Let y = 255 + -216. Suppose g = -40*w + y*w + 1385, 2*g - 2750 = 3*w. Is g a composite number?
False
Suppose -7*n = -151756 - 121531. Is n a prime number?
True
Let z be 1*(5 + 4)*-1909. Let n = 35818 + z. Is n a prime number?
True
Let f(g) = g**3 + 5*g**2 - 10*g - 10. Let t be f(-6). Is (-1)/(t/(-4)) - 272560/(-560) composite?
False
Let q = -17 - -29. Let o be (6 - 1) + -16 + q. Is o*1497*2/6 composite?
False
Let t(y) = -1535*y**3 + 2*y**2 + 251*y + 1307. Is t(-5) a composite number?
False
Suppose 3*i + 6*v + 20 = 4*v, 0 = 2*v - 4. Let l(h) be the first derivative of 6*h**3 + 5*h**2/2 + 11*h - 4. Is l(i) a composite number?
False
Let p = 104 + -102. Suppose k + 5*v - 19850 = 0, 0 = p*k + k + 2*v - 59511. Is k a prime number?
False
Suppose 0 = -3*z - 3, -m - 762 = 2*z - 2522. Let y = m + 595. Is y prime?
True
Let r be 2/(-3)*(-18)/12. Is (2 + r)*(-90)/(-54) - -3952 composite?
True
Let k(q) = 259*q + 227. Let y be k(-15). Let t = 9851 + y. Is t a prime number?
False
Suppose 223 = -y + 225. Suppose -5*f + 10*f - p = 21631, p = -y*f + 8658. Is f prime?
True
Let j = 547265 + -95538. Is j prime?
False
Let d(y) = y**2 + 327*y + 397273. Is d(0) a composite number?
True
Let z = 210 + -221. Let u(a) = -7*a**3 + 14*a**2 - 2*a - 2. Is u(z) prime?
False
Suppose 3*p + 3*k = k + 45412, -4*p = k - 60546. Let x = -10353 + p. Is x a composite number?
False
Let j(k) = 4*k + 4. Let u be j(-4). Let x be (5/((-30)/244))/(2/u). Let h = x + 297. Is h a prime number?
True
Let b be (22 + -19)*((-4)/(-6) + 0). Suppose m - b*m + 3802 = 5*d, 4*d + 11349 = 3*m. Is m prime?
False
Let p be -2*(-66 - -8)*(-66)/(-4). Let n = -1279 + p. Is n composite?
True
Let i(o) = -o**3 - 35*o**2 - 36*o - 77. Let a be i(-34). Let d(z) = 74*z**2 - 6*z - 67. Is d(a) a prime number?
True
Suppose 2*y + 4970 = -3*y - m, 0 = 2*y + 4*m + 1970. Let k(u) = u**2 + 35*u + 148. Let x be k(-5). Is (1/x*y)/((-9)/(-18)) prime?
Fal
|
{
"pile_set_name": "DM Mathematics"
}
|
*(-5)))/(n**(2/9)*n/((n**2*n*n)/n)) assuming n is positive.
n**(508/63)
Simplify ((p/p**(-3))/(p/(p*p*p**(-2/5))*p))/((p*p/(p**1/p))/p*p)**(-39) assuming p is positive.
p**(408/5)
Simplify (v**(-1))**(-1/5)*(v**(-2))**(-19) assuming v is positive.
v**(191/5)
Simplify ((x**1)**(-41))**14 assuming x is positive.
x**(-574)
Simplify ((o*o*o*o/(o/(o**(1/4)*o*o)))/(o*o**9*o))/((o/(o*o**6))/(o*o**9*o)) assuming o is positive.
o**(45/4)
Simplify ((h/h**(-12)*h*h)/h*h)/h*h*h**(12/7)/h assuming h is positive.
h**(110/7)
Simplify (x**0/x)/(x*x**(-9/8)) assuming x is positive.
x**(-7/8)
Simplify (s*s**(-19))/s*s*((((s*s/((s*s**(-17))/s)*s)/s)/s)/s)/s*s assuming s is positive.
1/s
Simplify (w**(-4/7)*w*w**(4/5))/(w**(1/3))**(1/43) assuming w is positive.
w**(5512/4515)
Simplify (h/(((h/(h/h**2))/h)/h))**(1/11)*(h*(h**(-5)*h)/h)/h**5 assuming h is positive.
h**(-98/11)
Simplify (c*(c**(-26/5)*c*c)/c)/c*c**26/c assuming c is positive.
c**(104/5)
Simplify (z*z**(-4)*z*z*z*z**(-3/7))/(z**1)**(-11) assuming z is positive.
z**(74/7)
Simplify ((h**0)**(6/13))**(5/3) assuming h is positive.
1
Simplify (q**(-1)/q**8)**(-3/4) assuming q is positive.
q**(27/4)
Simplify k**(-26)*(k*k*k*k/k**(-1/64)*k*k*k)/k*k*k assuming k is positive.
k**(-1151/64)
Simplify y/y**(-1/7)*y**(3/2) assuming y is positive.
y**(37/14)
Simplify ((s/(s/s**1))**(1/6))**45 assuming s is positive.
s**(15/2)
Simplify (((d*d*d*d**6*d*d*d)/d)/(d/d**(-6/7)))/((d/(d/(d**(-3/5)/d)))/d*d**5/d) assuming d is positive.
d**(271/35)
Simplify (n/n**(4/5)*n/n**(-1/2))**(2/43) assuming n is positive.
n**(17/215)
Simplify (i**(1/2))**(6/5) assuming i is positive.
i**(3/5)
Simplify (h**(3/4)/(h*h*(h/(h**(-5)*h))/h*h*h))**(6/25) assuming h is positive.
h**(-87/50)
Simplify ((v**(-4/7)*v)/v**(-6/11))/((v*v**(4/9))/v*v*v**(1/3)) assuming v is positive.
v**(-557/693)
Simplify ((f/((f*f*f**0/f*f)/f*f)*f)**(-19))**7 assuming f is positive.
1
Simplify (s/(s/((s*s**(-13/5))/s))*s)**(-1/13) assuming s is positive.
s**(8/65)
Simplify (p**0*p)**(-2)/((p**(-1/2)/p)/p)**(-2/57) assuming p is positive.
p**(-119/57)
Simplify (y/(y*y**(-1/6)*y*y)*y*y*y*y)/((y*y**(-2)*y)/y*y)*(y*y/(y*(y/(y/y**(2/7)))/y))**(-5) assuming y is positive.
y**(-269/42)
Simplify ((y/(y*y**(-9)))/y)/y**(-11) assuming y is positive.
y**19
Simplify a**(4/7)/((a**(1/6)/a)/a) assuming a is positive.
a**(101/42)
Simplify (m**(2/3)/m)**23/(m*(m*m**(-1)*m)/m)**(-11/6) assuming m is positive.
m**(-35/6)
Simplify (f**(-1))**(-8)*(f**6*f)/((f*f/f**(-4))/f) assuming f is positive.
f**10
Simplify (k**(-3)*k/(k/k**(2/15)))**47 assuming k is positive.
k**(-2021/15)
Simplify b**(1/5)*b*b**(-3)*(b*b**(-1))**47 assuming b is positive.
b**(-9/5)
Simplify (((j*(j**8*j)/j)/j)/j**(-1))/(j*j*(j*j*j/(j/(j*j**2)*j*j)*j)/j*j)**(4/9) assuming j is positive.
j**(19/3)
Simplify g**(-24)*g*g**(2/29)*g assuming g is positive.
g**(-636/29)
Simplify (r*(r*r/((r**37/r)/r))/r*r)/(r*r**(3/7)*r) assuming r is positive.
r**(-241/7)
Simplify ((p/p**(-5))**19)**(-3/25) assuming p is positive.
p**(-342/25)
Simplify ((v/v**(2/7))/v**(-3))**(11/5) assuming v is positive.
v**(286/35)
Simplify (d/d**(2/15))/(d/(d**(-5)/d))*(d*d**(3/2))/d*d*d/d**(-4) assuming d is positive.
d**(41/30)
Simplify v**(-3)*v*v*((v**(1/2)/v*v)/v)/v*v*(v*v/(((((v/v**(-1/9))/v)/v)/v)/v*v))/(v**(-1)*v) assuming v is positive.
v**(43/18)
Simplify x/(x/(x*x*x**8)*x)*x*x*x**(-6/11)*x assuming x is positive.
x**(126/11)
Simplify y**11*y*y**(3/8) assuming y is positive.
y**(99/8)
Simplify q/q**(-2/3)*q/((q*(q**(-2/23)/q)/q*q)/q)*(q*q*q/q**(-2/5)*q)**(3/11) assuming q is positive.
q**(1709/345)
Simplify g**4/g*g**(1/7) assuming g is positive.
g**(22/7)
Simplify ((a*a**(1/4)*a)/(a/(a/a**6)*a))/((a*a*a**(-6)/a)/(a*(a*a*a**(-6))/a*a*a*a)) assuming a is positive.
a**(-3/4)
Simplify (u**(2/5)*((u/u**(-10))/u)/u)**23 assuming u is positive.
u**(1081/5)
Simplify b**(-7/3)/b**(-1/2)*b**(2/7)*b**(1/4)/b assuming b is positive.
b**(-193/84)
Simplify (c/(c*c*c**6/c*c)*c**3)**(-2/3) assuming c is positive.
c**(8/3)
Simplify (((o/(o**(-6)/o*o)*o)/o)/((o/((o**(1/6)/o)/o))/o))/(o/(o/o**(-1/2)))**45 assuming o is positive.
o**(83/3)
Simplify (z**(2/79))**(-6/23) assuming z is positive.
z**(-12/1817)
Simplify g*g**1*g/g**(-39) assuming g is positive.
g**42
Simplify ((m/m**(-8))/m)**(3/10) assuming m is positive.
m**(12/5)
Simplify (v/(v/v**25))/v*v*v**(-11/5) assuming v is positive.
v**(114/5)
Simplify ((m*m**(-1/4)/m*m)/(m*m/m**(-3/8)))**4 assuming m is positive.
m**(-13/2)
Simplify ((l/(l*(l*(l*(l/l**(-4/3))/l*l)/l*l)/l*l*l))**(2/71))**(-48) assuming l is positive.
l**(512/71)
Simplify o**(4/5)/o*o/(o*o**(-12)*o*o)*o assuming o is positive.
o**(54/5)
Simplify ((p/(p*p**(2/5)*p))/(p/p**2))**(-3/25) assuming p is positive.
p**(6/125)
Simplify (z**(-3/5)*z)/z**(1/7)*((z*z**(-1/5))/z)/(z*z/(z/((z/((z/(z**7*z))/z))/z*z))) assuming z is positive.
z**(-348/35)
Simplify (i**(-2/3)*i**1)/(i**7/(i*i**(-1/2))) assuming i is positive.
i**(-37/6)
Simplify w/(w/w**(-3/7))*w*w**(-11) assuming w is positive.
w**(-73/7)
Simplify (((v/(v**(2/3)*v))/v)/v)**(1/56) assuming v is positive.
v**(-1/21)
Simplify (b*(b/(b*b**0*b))/b*b)**(-45)/(b**(1/2))**(1/18) assuming b is positive.
b**(-1/36)
Simplify (d**1*d*d*d**(-6))/((d**(3/2)*d)/d*d**(-8)) assuming d is positive.
d**(7/2)
Simplify (s**5/(s*s/(s**(-4)/s)))/(((s*(s*s/s**(-1/7)*s)/s*s)/s)/s*s/s**(2/9)) assuming s is positive.
s**(-310/63)
Simplify ((g/(g**(2/11)*g))**35)**28 assuming g is positive.
g**(-1960/11)
Simplify ((c/(c*(c/((c**(5/6)/c)/c*c*c))/c))/(c/c**4*c))/(c*c**(-2)*c**6) assuming c is positive.
c**(-13/6)
Simplify (u/u**(-3/7)*u)**(-29) assuming u is positive.
u**(-493/7)
Simplify ((v**(11/5)*v)/v)**35 assuming v is positive.
v**77
Simplify (((x/x**(1/3))/x*x)/((x**(2/9)/x)/x))/(((x*x**0)/x)/x)**(-5/6) assuming x is positive.
x**(29/18)
Simplify x**(-9/2)/x**(2/55) assuming x is positive.
x**(-499/110)
Simplify (h/(h/(h*h**(-25)))*h*h)**(-32/5) assuming h is positive.
h**(704/5)
Simplify (f/(f**(1/6)/f))/f**19 assuming f is positive.
f**(-103/6)
Simplify u*u**(2/5)*u**(-5)*u assuming u is positive.
u**(-13/5)
Simplify (n*((n/(n/n**(-33)*n)*n)/n*n)/n)/((n*n*n**5*n)/n) assuming n is positive.
n**(-40)
Simplify (i*i**1*i)/(i**25*i) assuming i is positive.
i**(-23)
Simplify (v*v/((v/v**1)/v))**(-2)*v**1*v**(1/10) assuming v is positive.
v**(-49/10)
Simplify (c/c**(-1/4))**(-20/11)*c**(1/2)*c**3 assuming c is positive.
c**(27/22)
Simplify (n/(n**(-2/79)*n))/((n**5/n)/n) assuming n is positive.
n**(-235/79)
Simplify v*v*v/v**14*((v/v**(-14))/v)/v*v assuming v is positive.
v**3
Simplify (o*(o*o*(o*(o*o**(-6/5)/o*o)/o)/o*o*o)/o)/(o*o**17/o*o*o) assuming o is positive.
o**(-81/5)
Simplify ((((o*o**(-2))/o)/o)/(o*o**4*o*o))/((o/o**(-6))/o*o/o**6) assuming o is positive.
o**(-11)
Simplify (f*f*f/f**(3/8))**(-10/13) assuming f is positive.
f**(-105/52)
Simplify (d/(d**(-5)*d))/(d/(d*d/d**(-6)*d*d)*d)*(d/(d/(d*d**(1/4)*d*d)))/d**(2/3) assuming d is positive.
d**(187/12)
Simplify (s/(s**(-2)/s)*s*s*(s*s**(-2))/s)/(s**(2/9)/((s*s*s*s**(-1/8))/s*s*s)) assuming s is positive.
s**(551/72)
Simplify ((((x**(-1/5)*x)/x)/x)/x)/(x/x**2)*(x/x**(-1/3))**(-2/45) assuming x is positive.
x**(-34/27)
Simplify (n**1*n*((n/(n/(n*n**(-7/2))))/n)/n)/(n*n/n**(2/5)*n*n*n/(n*n**(-2/15))) assuming n is positive.
n**(-187/30)
Simplify ((k**(2/5)/k)/((k*(k*(k/k**(1/2)*k)/k*k)/k*k)/k))**12 assuming k is positive.
k**(-186/5)
Simplify (d/d**(1/9)*(d*d**(2/9))/d*d)**(-8/7) assuming d is positive.
d**(-152/63)
Simplify (n**6*n)/(n/(n*n**13)) assuming n is positive.
n**20
Simplify q*q**(-1/4)*q*q**(1/2)*q**(2/5)*q*q**8 assuming q is positive.
q**(233/20)
Simplify (a**4/(a*a*a*a**(-6/5)))**22 assuming a is positive.
a**(242/5)
Simplify s**(1/3)/s**(-2/75) assuming s is positive.
s**(9/25)
Simplify ((s/(s/(s/((s*s**1)/s))))/s*s*s/s**7*s*s)**12 assuming s is positive.
s**(-48)
Simplify (f*f**(-3/11)/f)/f**(-33) assuming f is positive.
f**(360/11)
Simplify (s/(s/(s*s/s**(-2/9))))/(s*s/(s*s**(-7/4)*s)) assuming s is positive.
s**(17/36)
Simplify (j*j**(-2/9))**(-2/141) assuming j is positive.
j**(-14/1269)
Simplify ((t**(1/2))**27)**(-5/4) assuming t is positive.
t**(-135/8)
Simplify (g**5)**(-1/4) assuming g is positive.
g**(-5/4)
Simplify b
|
{
"pile_set_name": "DM Mathematics"
}
|
4 - w = 0 for x.
-3
Suppose g - 27 = -2*g - 5*v, 2*g - 23 = -5*v. Suppose g*r = r - 9, 63 = 5*j - r. Solve -3*c - j = -7*c for c.
3
Suppose -3*g + r = -26, -5*r - 46 = -5*g - 4*r. Let h be (-2)/(-1) - (g - 8). Solve -11*v + v + 20 = h for v.
2
Let m = 2579 - 2555. Let n = -16 + 10. Let f be (-20)/n + (-8)/m. Solve 4*v - 3 = f*v for v.
3
Suppose 10 = 2*x + 4*f, -5 = -3*f - 2. Suppose -10*t - x*t = 0. Suppose -4*s + 6 + 2 = 0. Solve t = -s*p + 3 + 1 for p.
2
Let x be (-702)/(-65) - (-1)/5. Let y = -18 + x. Let z(q) = q**3 + 6*q**2 - 9*q - 14. Let p be z(y). Solve -3*r - r = p for r.
0
Suppose 16*g - 16 - 336 = 0. Solve 7*y + 4*y = -g for y.
-2
Suppose 5*c + s = 62, 0 = -3*c - c + 2*s + 58. Suppose -t + c = 6. Suppose -18 + 4 = -t*h. Solve -3*l - h = -5*l for l.
1
Let w = -260 - -278. Let a be (2 - 4) + -6*(-24)/w. Solve o = a*o for o.
0
Let i be -6 + (0 - -2)*2. Let c be (1 + 1)*-1 - i. Suppose 2*g + 0 - 10 = c. Solve 0*x = g*x for x.
0
Let l(o) = -558*o**3 + 8*o**2 - 16*o - 25. Let h be l(-1). Solve -i + h = 552 for i.
5
Let x be 36/(-18) + ((-11)/(-1) - -2). Let y(z) = -z**3 + 9*z**2 + 19*z + 36. Let m be y(x). Solve 0 = -3*u - m for u.
-1
Suppose 2*y + 44 - 34 = 0, 2*t + 3*y + 7 = 0. Suppose 4*r - 14 = -t*m + 14, 6 = 2*m. Solve -10*d - 24 = -r*d for d.
-4
Let i(z) = z**3 - 5*z**2 - 6*z + 1. Let d be i(6). Let h = 184 + -156. Suppose h*u = 39*u - 44. Solve -u*x - 5 = -d for x.
-1
Let a be (29 + 988/(-38))/((-7)/(-3) + -2). Let c be 44/6 + 2/(-6). Let v = c + -4. Solve a = -0*b + v*b for b.
3
Let b be ((-45)/(-300))/((-2)/(-10))*-4. Let w be (-16)/b*(-10 + (-387)/(-36)). Solve w*y - 8*y = 8 for y.
-2
Let k be (4 + (-2 - 1))*0. Suppose 22*y - 17*y - 15 = k. Solve y = -6*n + 21 for n.
3
Suppose 48*d - 565 = 29*d - 90. Solve -127 + 2 = d*a for a.
-5
Let s = 69 + -55. Suppose -62 = -s*x + 50. Solve -2*f + x = 2*f for f.
2
Suppose 5*a + 29 = -3*f, -2*a + 5*f - 11 = 6*f. Let k be 2 - (3 - (-2 + (0 - a))). Let x = 1 - 1. Solve -5*o - 9 - k = x for o.
-2
Suppose -24*j = 7 - 55. Suppose 0 = -5*k - c + 30, 4*k - 12 = -j*c + 6. Solve -k*v = -8*v for v.
0
Suppose 620*o = 60099 + 45921. Solve 16*n = -3*n + o for n.
9
Let u be (-55)/(-15) - 2/3. Let p be (278/(-4))/(-4 + (-574)/(-140)). Let b = p + 695. Solve b = 2*k - 3 - u for k.
3
Suppose 0 = -2*d - 5 + 16 + 13. Solve 9*m + 3 - d = 0 for m.
1
Let d(m) = -m**3 - 8*m**2 - 14*m - 7. Let q be d(-8). Let s = q + -102. Solve s*t + 8 = -t for t.
-2
Suppose 0 = -41*o + 43*o + 40. Let f = -12 - o. Suppose -f*x + 29 = 5. Solve 0 = -s - x*s - 16 for s.
-4
Suppose 5*o = 7*o + 60. Let i = o - -32. Suppose 0 = -4*b - k + 2, -k + 0*k + 3 = 5*b. Solve -b = u - i for u.
1
Suppose -15*f - 12*f + 27 = 0. Suppose 9*n = 10*n - f. Solve -w + 0 = n for w.
-1
Suppose 0 = 4*k + 5*j + 15 - 51, 2*k = 5*j - 12. Suppose 0 = k*n + 28*n - 1024. Solve n = -4*b + 12 for b.
-5
Let r be 1*-34 - (422 + -484). Let b(c) = c - 7. Let d be b(9). Solve -d*k + 34 = r for k.
3
Suppose 3*a + 4*x = -3, 0 = 4*a - 0*a - 3*x + 4. Let c be (-21)/(-3) - (4 - (-2 - a)). Solve 0 = c*q - 3*q + 4 for q.
4
Suppose -3*m + 6*u - 53 = 8*u, 2*m + 4*u = -38. Let f(b) be the third derivative of -b**4/12 - 31*b**3/6 + 13*b**2. Let g be f(m). Solve -2 = p + g for p.
-5
Let y(d) be the second derivative of 7*d**4/12 + 7*d**3/6 + 7*d**2/2 + 201*d. Let t be y(-2). Solve 3*c + t = 10*c for c.
3
Suppose 0 = -4*q - 3 + 23, -5*q = -2*n + 1151. Solve -596*u + n*u = 40 for u.
-5
Let b(g) be the third derivative of -g**6/120 - 4*g**5/15 + 17*g**4/24 + g**3/2 - 26*g**2. Let i be b(-17). Let x be ((2 - 2)/3)/2. Solve -s = i - x for s.
-3
Let k(t) = -t**2 + 51*t + 2168. Let s be k(77). Solve -167*x + s*x = -3 for x.
3
Let o = -6066 + 6075. Solve 5*s - o*s - 12 = 0 for s.
-3
Suppose -5*y = -4*u + 13, -u + 5*u = 3*y + 19. Let h = 7 - 7. Suppose 2*f - 3 = b, -3*b + 5*f - u + 1 = h. Solve -b*c + 4*c = 0 for c.
0
Let b = 8450 - 8211. Solve 19*o - 87 = -b for o.
-8
Let c(d) = 31*d + 27. Let s be c(-6). Let x = 162 + s. Solve -j - 12 = x*j for j.
-3
Suppose 5*w = 4*c - 1, 20 = -2*w + 4*c + 10. Let l be 15/5 + 0/1. Suppose -5*b + 27 = l*i, -w*i + 3*b = b - 6. Solve -i*h - h = -10 for h.
2
Suppose -600*j = -582*j - 18. Solve -39 = 20*o + j for o.
-2
Let k be (-6)/((-210)/65) - 90/105. Solve 52*n - 53*n + k = 0 for n.
1
Let o(f) = f**3 + 9*f**2 + 16*f - 12. Suppose -32*c + 28*c = 3*w + 12, w + 8 = -2*c. Let r be o(c). Solve r = 3*y - 8 + 5 for y.
1
Suppose a - 8 = -5*s, -3*a + 1 + 23 = -2*s. Suppose 0 = -8*f + 12*f + 112. Let x be (-2)/((-32)/84 + a/f). Solve -2 = x*i - i for i.
-1
Suppose -2*k = 13*k + 30. Let s be -6*(k/(-13) + (-285)/585). Solve -s*p - 8 = 2*p for p.
-2
Let h(i) = -i**3 + 4*i**2 + 13*i - 5. Let y be h(6). Let t be (6 - 3) + (0 - y). Suppose -2*l + 55 = 3*l - 5*a, a + 32 = 4*l. Solve l + t = -3*j for j.
-3
Let f = -18480 + 18490. Solve 5571*q - 5573*q = -f for q.
5
Let u(h) = -12 - 8*h + h**2 - 4*h - h. Let g be u(14). Suppose 4*n - 16 = g*r, -2*n + 5*n + 2*r - 5 = 0. Solve n*f = f + 4 for f.
2
Let g(w) = -2*w**2 - 21*w - 8. Suppose m - 2*a = -21 - 22, -5*m = -3*a + 243. Let s be m/5 - (-2)/10. Let p be g(s). Solve 12 = 5*i - p*i for i.
4
Let w(n) = 17*n**2 + 113 + 2*n - 2*n**3 + 15*n**2 + 4*n**3 - 67*n - n**3. Let k be w(-34). Solve 6*i - 25 = k*i for i.
-5
Let d(q) = -5*q + 13*q**2 - 14*q**2 + 2 + 16. Let t be d(-7). Suppose -t*b - 16 = -72. Solve 3*c = -1 - b for c.
-5
Suppose -32*w - 171 = -16*w - 35*w. Solve -73 = w*d - 28 for d.
-5
Suppose -45*n = -70*n + 600. Suppose 8*h + 16*h = n. Solve 2*v = h + 5 for v.
3
Suppose -21 = 4*b - 5*x, 0*x = 5*b - 3*x + 23. Let v be ((-35)/(-15) + b)*-9. Solve -v = -g - 4*g for g.
3
Let a be 157/4 - 8/32. Suppose a = o + 26. Suppose -o*t + 16 = -49. Solve 4*j + t = -3 for j.
-2
Let q(a) = 2*a**2 + 58*a + 59. Let u be q(-28). Solve u*p - 12 = 6 for p.
6
Suppose -5*h + 4*m = -27, 2*h - 4*m + 2 - 8 = 0. Suppose h*v - 61 = -26. Suppose -2*i - v = 4*r - 1, i = 4*r + 4. Solve i = 4*x + 4 for x.
-1
Let m = -1864 + 1866. Solve -13 + 1 = -m*z for z.
6
Suppose 9*u - 8*u + 3*s - 29 = 0, -s - 47 = -3*u. Suppose 130 = 21*v - u. Solve -3*n = -v*n for n.
0
Suppose -5*z + 16*z - 22 = 0. Let o(r) = 6*r**2 - 8*r**2 - 22*r**2 + r**3 - 22*r + 28 - z*r**3. Let b be o(-23). Solve -b = -2*m + 3*m for m.
-5
Let n(o) be the third derivative of o**5/60 - o**4 + 9*o**3/2 + 69*o**2. Let d be n(23). Let t = 10 - 9. Solve d*h + t = -19 for h.
-5
Let p(i) = -153*i - 74. Let u be p(-2). Suppose 40*m - u = 11*m. Solve 8*h = 10*h + m for h.
-4
Let f(g) = -g**2 - 14*g - 7. Let x be f(-14). Let d be x*((-3)/1 + 1). Suppose 12 = 2*c + 2*c. Solve -c*y = -d - 1 for y.
5
Suppose 5*q = 4*q + 3*p + 9, 49 = 3*q + 2*p. Suppose -8*v + q = -25. Solve 0 = v*n - 6 + 26 for n.
-4
Let v be 4/((-2)/(-1)) + -5. Suppose 1254 = -50*k + 1854. Let z be (v - k/(-8))*-2. Solve 2*b - 13 = -z for b.
5
Suppose -1170*n = -1234*n. Solve 47*k - 16*k - 186 = n for k.
6
Let o = 6125 - 6095. Solve -o*g = -10 - 20 for g.
1
Let o be -1*1*-20*4/10. Suppose -2*t = -7*j + 6*j - 34, -4*j = o. Solve t = -7*n + 3*n for n.
-4
Let o(s) = -s**2 - 30*s + 1893. Let n be o(31). Let d = 8 - -1. Solve -j - d = n*j for j.
-3
Suppose -2*y - 5*a - 54 = y, -3*a = -3*y - 30. Let k = -8 - y. Suppose -1227*u = -1156*u. Solve -r = -u*r + k for r.
-5
Let u be -13 - -5 - (-7 + (-5 - -1)). Solve 12*f + 9 = -u for f.
-1
Suppose -2*c = -3*o + 689, 20*o - 5*c - 474 = 18*o. Suppose 229*i - o*i = 4. Solve 6 = r + i for r.
4
Let l = -27 - -29. Suppose 5*a = m - 15, -l*a - 6 + 2 = 0. Let s(d) = -d**3 - d**2 - 2. Let h be s(-2). Solve -m = -h*q - 13 for q.
-4
Let y = -34 + 19. Let i = 17 + y. Suppose 0 = w + 23 - 30. Solve 3*l - i = w for l.
3
Let v = 176 + -173. Suppose -3 = 4*q + 3*j, -3*q + v*j + 0 = -3. Solve q*y + 8 = 2*y for y.
4
Let l be (-2147)/(-13) - 16/104. Let x = 175 - l. Solve x*t - 7*t = 0 for t.
0
Let r(x) = -10*x + 34. Let o(c) = 21*c - 68. Let q(l) = -2*o(l) - 5*r(l). Let n be q(4). Let z be n/(((-32)/(-6))/(-8)). Solve -z*m = m for m.
0
Let g(j) = j**2 + 6*j - 60. Let c be g(6). Let v = 1 - -1. Suppose -4*t - 3 = -11. Solve -v*q = t*q + c for q.
-3
Suppose -528 = -116*s + 28*s. Solve s*j - 420 = -450 for j.
-5
Suppose 0 = 5*w + 3*j - 0*j - 21, -4*j + 17 = 3*w. Suppose w*g = -2 + 5. Let o be (-12)/(-24)*(g +
|
{
"pile_set_name": "DM Mathematics"
}
|
s) = -s**2 - 3*s - 1 + 1 + 3. Suppose 2*w - 7 + 15 = -2*n, -16 = -w + 4*n. Suppose -5*f = -w + 15. Calculate x(f).
3
Let z be 21/(-28) + 0 - 11/(-4). Let r(g) = 2*g + 6 - 6*g**z + 6 - 9 - g**3. Give r(-6).
-9
Let c(u) = -u**3 - 5*u**2 + 5*u + 1. Suppose 40 = -8*p - 0*p. Give c(p).
-24
Let k(j) = 96 + j**2 - 8*j + 93 + 10*j - 187. Let z(q) = -2*q**2 - 3*q - 1. Let b be z(-2). What is k(b)?
5
Let x(s) be the first derivative of -s**6/90 + s**4/24 + 29*s**3/3 - 15. Let u(w) be the third derivative of x(w). Determine u(1).
-3
Let k(j) be the first derivative of -j**7/840 - j**6/180 + j**5/30 + j**4/8 + j**3 - 15. Let w(x) be the third derivative of k(x). Determine w(-3).
0
Let t(w) = 32*w + 37. Let q(j) = 5*j + 1. Let a(d) = -6*q(d) + t(d). Give a(-13).
5
Let u = -623 - -313. Let z be u/(-60) - 2/12. Let g(n) = -5*n**3 + n**2 + 6*n + 2. Let v(i) = -i**3 - i**2 + i + 1. Let d(l) = -g(l) + 4*v(l). Determine d(z).
-8
Let u = -4 - -7. Suppose 6*s = s + 3*r + 8, 0 = -5*s - u*r + 2. Let l(k) be the second derivative of 3*k**3/2 + k**2/2 + k - 33. Calculate l(s).
10
Let t(h) = h + 9. Let m be 4/46 - 418/46. What is t(m)?
0
Suppose 0*x = 3*x - 9. Let w(t) = -x + t**2 + 2 - 7*t - 2*t**2. Give w(-5).
9
Let t be (68/(-6))/(3/(-9)). Let n = -33 + t. Let k(f) = -2*f**3 + 2*f - 1. Give k(n).
-1
Suppose 62 = 5*g - 23. Suppose -3*y = -28 - g. Suppose 5*x = j + 26, 2*x - 2*j = 3*j + y. Let l(h) = -h**2 + 5*h - 1. Calculate l(x).
-1
Let a(d) be the first derivative of 5*d**4/4 - d**3/3 - 7. Suppose -3*h + 14 = -37. Let n = h - 16. Determine a(n).
4
Suppose v = 1 - 2, -4*b + 17 = -5*v. Let x(y) be the third derivative of y**6/120 - y**5/20 - y**4/12 - y**3/3 + 563*y**2. Determine x(b).
-8
Suppose 3*y - 96 = 2*m - 4*m, -129 = -4*y - 3*m. Suppose 0 = -0*j - 5*j + y. Let h(d) = d**2 - 6*d + 2. Determine h(j).
2
Let q(g) = g**3 - 2*g**2 - 3*g + 2. Let s = 1472 - 1468. What is q(s)?
22
Let m(d) = d**2 + 2*d + 9. Let p(h) = -h**2 + 2*h. Let w(q) = -m(q) - 2*p(q). Give w(8).
7
Let v(q) = 12*q - 66. Let k be v(5). Let f(b) = -b**3 - 5*b**2 + 7*b + 5. What is f(k)?
-1
Suppose -a + 3*s = -4*a - 198, -a = 2*s + 68. Let p = a + 58. Let w(f) = f**2 + 4*f - 7. Give w(p).
5
Suppose -23*u = -22*u - 4. Suppose -q = 4*j + 2, -u*q + 2*j + 30 = -j. Let l(a) = 7*a + q*a - 12*a. What is l(-1)?
-1
Let o(j) = -3*j**2 - j - 2. Let s(d) = 6*d**2 + 2*d + 5. Let u(b) = 3*o(b) + s(b). Determine u(-4).
-45
Suppose -5*o + 10 = 3*u, -13 = 3*o + 7*u - 9*u. Let c(s) = 2*s**3 - s**2 + s + 1. Give c(o).
-3
Suppose 5*o + 6 = -0*o - 3*v, -2*o - 4*v = 8. Suppose -10 = -4*x + 2*w, 0 = -x - o*w - 5*w + 30. Let i(p) = p**2 - 6. What is i(x)?
19
Let a(p) = -p - 15. Let m be 2 + -1 + -2*(-1)/(-2). Determine a(m).
-15
Suppose 2 = 3*b - 1. Let j = b + -1. Let v(p) = -p + 24 - 43 + 14. Determine v(j).
-5
Suppose 7*n - 21 = 7. Let z(h) = 6 + n*h - h**2 - 5 + 4. Determine z(4).
5
Let k(o) be the third derivative of -1/6*o**3 + 0*o + 22*o**2 + 1/6*o**4 + 0. Give k(2).
7
Let d(t) = -t**3 - 6 + 2 - 2*t + 2*t**2 + 3 + 3*t. Let g(y) = -10*y - 38. Let r be g(-4). What is d(r)?
1
Let y(k) be the second derivative of 0 - 1/24*k**4 - 6*k - 7/2*k**2 - 1/6*k**3 + 1/120*k**6 - 1/10*k**5. Let x(l) be the first derivative of y(l). Give x(6).
-7
Let y(g) be the second derivative of -g**6/180 + g**5/30 - 11*g**3/6 - 4*g. Let z(h) be the second derivative of y(h). What is z(4)?
-16
Let q(v) = -v**2 - 2*v + 8. Let u(j) = -j**2 - j - 1. Let l(o) = 2*o**2 + 28. Let i(n) = l(n) + 5*u(n). Let t(s) = 6*i(s) - 17*q(s). Determine t(4).
2
Let k = 11 + -6. Let c(n) = -7*n + 30. Let z(j) = 8*j - 35. Let y(h) = 6*c(h) + 5*z(h). What is y(k)?
-5
Let x = -32 + 34. Suppose -l + 4*l = 3*o - 15, 0 = -x*l - o - 1. Let u(g) = g**2 + 5*g + 1. What is u(l)?
-5
Suppose -1563 = 14*i - 1731. Let r(j) = 2*j - 5. Determine r(i).
19
Let j = -1285 - -1290. Let s(n) = n**2 - 4*n - 5. Give s(j).
0
Let a(c) = c**2 - 2*c - 14. Let s(x) = 12*x + 102. Let j be s(-8). What is a(j)?
10
Let o(w) = -w**3 + 8*w**2 - 6*w + 3. Suppose -5*q + q = -20. Let b(x) = -2*x**3 + 17*x**2 - 11*x + 6. Let r(v) = q*o(v) - 2*b(v). Determine r(5).
-12
Let o(a) = a**3 + 21*a**2 - 24*a - 43. Let x be o(-22). Let u(s) = -17*s**3 + 2*s - 1. What is u(x)?
-16
Suppose 0*p + 4*p = 2*u - 16, -3*u + 14 = -4*p. Let w(z) = z**2 + 2. Calculate w(u).
6
Suppose 0*f = 4*f - 24. Let o(y) = y**2 - 2*y + 1. Let g(c) = 4*c**2 - 4*c + 12. Let n(w) = g(w) - 5*o(w). Calculate n(f).
7
Let z(t) = t**2 - t + 1. Let q be (-1)/((-4)/4*1). Let n = q + -3. Let a = 5 + n. Determine z(a).
7
Suppose -10*c - 613 = -593. Let v(n) = -4*n + 9. Let r(i) = -i + 2. Let s(g) = -9*r(g) + 2*v(g). Give s(c).
-2
Let f(g) = g**2 + 4*g + 1. Let z(b) = 6*b - 56. Let x be z(10). Give f(x).
33
Let z(p) = -p**2 + 5*p - 3. Suppose -r = 3*r + 4*y - 36, 15 = 2*r + y. Suppose -2*c + c + r = 0. Suppose 0 = 3*j - k - c, -7*k - 4 = -2*j - 3*k. What is z(j)?
3
Let d(c) be the first derivative of -c**4/12 + 5*c**3/6 - 6*c**2 - 10. Let l(o) be the second derivative of d(o). Give l(4).
-3
Let g = 68 - 65. Let l(v) = 4 - 2*v**2 + 4*v - 3*v + 0*v - g. Determine l(-2).
-9
Let y be ((-14)/(-4) - 3)*6. Suppose -g - y*g = -24. Let c(v) = g*v - v**2 + 2*v - 3*v + v**3 + 7*v**2 + 2. Determine c(-5).
2
Let h(n) be the second derivative of 1/3*n**4 + 1/20*n**5 + 7/2*n**2 + 6*n + 0 - 1/2*n**3. Suppose 0 = -0*z + 5*z + 25. Give h(z).
-3
Suppose 3*i - 4*w - 142 = -2*i, -5*i + 148 = -w. Suppose i*v = 25*v - 45. Let y = v - -17. Let j(q) = 2*q - 9. Determine j(y).
7
Suppose -3*r = j - 18, 6*r = -2*j + r + 38. Let l = j - 11. Let h = 15 - l. Let v(y) = -2*y - 1. Calculate v(h).
-5
Let m(y) = 4*y - 4. Suppose 7*o - 14*o = -49. Calculate m(o).
24
Let z(w) = -w**2 - 6*w - 2. Let r(y) = -2*y**2 - 12*y - 4. Let m(l) = -6*r(l) + 13*z(l). Suppose 11*s - 47 - 8 = 0. Suppose -p + 0*p - s = 0. Determine m(p).
3
Let i(q) = q + 34. Let j(a) = -2*a - 38. Let u(c) = -5*i(c) - 6*j(c). Calculate u(-10).
-12
Let a(v) be the first derivative of -v**2 + 4*v + 1. Suppose 4*j - 8 = 2*i, -j - i = 2 - 4. Let y be j/(-7) - 69/(-21). Give a(y).
-2
Let h be 28/(-16 + 30) + (-19 - 1). Let q(d) = d**2 + 15*d - 42. Determine q(h).
12
Suppose -3 = -b + 4. Suppose -b*x + 3*x + 12 = 0. Let j(t) be the first derivative of t**2 - 3*t + 212. Give j(x).
3
Let d(p) = p**2 + 11*p - 12. Let u = -224 - -212. Give d(u).
0
Let f(u) = -9*u + 16*u + 5*u**2 - 5*u + u**3 + 3 - 7*u. Give f(-6).
-3
Let x be 0 - (0 + -6 - -6)/(-3). Let u(b) be the second derivative of 1/6*b**4 + 1/20*b**5 + 1/2*b**2 + 4*b + x + 0*b**3. Calculate u(-2).
1
Suppose 0 = -2*c + 5*c + 4*m - 23, 16 = 4*c - 2*m. Let a(l) = -14*l**3 + 0*l**2 + 13*l**3 + 1 - 7*l + 6*l**2 + 3*l. Determine a(c).
6
Let g(o) = 2*o**2 - 2*o - 4. Suppose 0 = 383*r - 377*r + 18. Calculate g(r).
20
Let u(c) = -c**2 - c**2 - 12 - 4*c**2 + 5*c**2. Let d(h) = -1. Suppose 3*k + 9 - 12 = 0. Let r(g) = k*u(g) - 5*d(g). Calculate r(0).
-7
Let j(v) = v**3 - 5*v**2. Let t(b) = 5 - 6*b - 2*b**3 + 5*b**3 + b**3 + 5*b**2 - 3*b**3. Suppose -2*m + m + 15 = -3*n, -n - 3 = -m. Let h be t(n). Give j(h).
0
Let n(i) be the first derivative of -i**5/20 - 2*i**4/3 - 7*i**3/6 - 2*i**2 + 12*i + 8. Let b(p) be the first derivative of n(p). Calculate b(-7).
-4
Suppose 2*j - q = j - 1, 4*q = -2*j + 16. Let x(z) = -228*z**2 + z**3 + 5*z - 3*z + 227*z**2. Calculate x(j).
8
Let n(v) be the third derivative of -v**5/60 - v**4/3 - v**3 + 6*v**2. Calculate n(-7).
1
Let m(p) = -9*p + 7. Suppose -2*y = -12 - 8. Let z(g) = g**3 - 6*g**2 - g + 2. Let d be z(6). Let r(n) = -4*n + 3. Let l(j) = d*m(j) + y*r(j). Calculate l(-2).
10
Suppose 0 = -5*h - 8 - 12. Let l(z) = -3*z**2 - 7*z + 5. Let b(c) = -16*c**2 - 36*c + 27. Let w(d) = 2*b(d) - 11*l(d). What is w(h)?
-5
Let u(q) = -3*q**2 - 2*q - 25. Let v(f) = -10*f**2 - 8*f - 79. Let l(h) = -13*u(h) + 4*v(h). Give l(-7).
2
Let r be ((-4)/6)/((-2)/(-6)). Let t(m) be the third derivative of 1/12*m**4 - 3*m**2 - 1/3*m**3 + 0*m + 0 + 1/15*m**5 + 1/120*m**6. What is t(r)?
2
Let t(n) = 3*n + 9. Suppose 15 = 13*p - 8*p. Suppose o + 9 - p = 0. Calculate t(o).
-9
Let b(u) = -8*u**2 + 3*u + 4. Let w(a) = 10*a**2 - 3*a - 3. Let v(o) = 6*b(o) + 7*w(o). Give v(1).
22
Let y = -9449/30 + 315. Let c(t) be the third derivative of 1/24*t**4 + 0 + 0*t - 3*t**2 + 0
|
{
"pile_set_name": "DM Mathematics"
}
|
*p + p + 0*p to the form z*p + r and give r.
0
Express (32358*v**3 + 32354*v**3 - 6*v - 75 - 64713*v**3 + 3*v**2)*(2 - 2 - 1) in the form k*v**3 + t*v**2 + l + y*v and give k.
1
Express (-1 + 1 + 1)*(0*l**3 + 2*l**3 + 0*l**3)*(2 - 1 + 1)*(429*l + 429*l - 806*l - 1) as a + p*l**4 + u*l**3 + j*l + w*l**2 and give j.
0
Rearrange (-12*u - 5*u + 4*u)*(-3*u**2 + 42 - 42) to the form p + x*u**3 + k*u**2 + b*u and give x.
39
Express -6*k**3 - 3 + 3 + (0*k**2 + 2*k**2 - 3*k**2)*(-k - k + 4*k) - 2 + 2 - 2*k**3 - 3 + 3 - 7*k**3 as a*k**3 + h*k**2 + q*k + b and give a.
-17
Rearrange (-711*x + 508*x - 2350*x)*(2 + 3*x**3 - 2) to the form n*x**2 + r*x + o*x**4 + d + g*x**3 and give o.
-7659
Express 4017*i - 7989*i + 4037*i + 6*i**2 as t + b*i**2 + c*i and give b.
6
Rearrange (-4 + 1 + 5 + (-6 + 0 + 4)*(-19 + 1 - 16) - 1 - 5 + 3)*(-19 - 3*u + 19) to i + q*u and give q.
-201
Express -134985 + 1849*p**2 + 134985 in the form c + t*p + x*p**2 and give t.
0
Rearrange 5 - 6 - 4*i + 6*i**2 + 597*i**3 - 599*i**3 to g*i + w + v*i**3 + a*i**2 and give g.
-4
Express -x**4 + 215*x**2 - 216*x**2 + 2 + 3*x + 3*x - 2*x as i + s*x + f*x**2 + t*x**3 + o*x**4 and give t.
0
Express 30*s**2 + 130*s**3 - 34*s**2 - 24 - 129*s**3 in the form h*s + z + y*s**3 + f*s**2 and give y.
1
Express -y**2 + 26*y + 2 - 4 - 2390*y**4 + 2388*y**4 as f + d*y**4 + p*y**3 + j*y**2 + x*y and give x.
26
Express -z - 2*z + 3*z + 401 - 412 - 12*z**2 as g*z + o + d*z**2 and give o.
-11
Rearrange -8*x + 5*x + 5*x - 20 to j + b*x and give b.
2
Rearrange 2 - 39*b - 54*b + 189*b - 47*b to the form h*b + v and give v.
2
Rearrange -53*g**4 - g + 39*g**2 + 2 - 22*g**2 - 18*g**2 to the form l*g + s*g**3 + f*g**4 + v + b*g**2 and give v.
2
Express 2*z**4 + z - z + (4*z**2 + z**2 - 3*z**2)*(45 - 408*z**2 + 29 - 71) in the form i*z + v*z**4 + t*z**2 + d + n*z**3 and give v.
-814
Express 96 - 2*a**3 - 46 + 89*a**4 - a - 48 in the form h*a**4 + b*a**3 + c*a**2 + y + i*a and give y.
2
Express -16*x**3 + 5*x**2 + 2*x**3 + 8*x**2 in the form l*x + t*x**2 + i + r*x**3 and give r.
-14
Rearrange 81 + 80 - 160 - 193*r to the form u + k*r and give k.
-193
Rearrange 11*o**2 - 12*o**2 - 3 + 23*o**2 + 18*o**2 to i + d*o**2 + w*o and give i.
-3
Express 8 + 16 + 2 - 5*j - 9*j + 4*j as y + b*j and give y.
26
Rearrange 19 - 20 + 1 - 15*z**2 - 3*z - 5*z to the form w*z + t*z**2 + j and give w.
-8
Express -3 + 4 + 74*i**3 - 73*i**3 - 19*i**4 as f*i**4 + p*i**2 + y + r*i**3 + b*i and give r.
1
Express (1 - 2 + 0)*(1 - 2*g - 1) + 0*g - 4*g + 6*g - 2*g - g + g - 857 + 395 - 4066*g + 462 as x + b*g and give b.
-4064
Rearrange -2*c**3 + 4*c**3 - 4*c**3 + (0 + 4 - 1)*(1 + 7 - 2)*(-4*c**3 + 5*c**3 + 2*c**3) to m*c + v + f*c**3 + x*c**2 and give f.
52
Rearrange -35*c**3 + c**2 + c**2 - 12*c + c**4 - 10*c + 24*c to the form b*c**2 + y*c**3 + m*c**4 + s + r*c and give b.
2
Rearrange 7*d**4 + 0*d**3 - 5*d**2 + 0*d**3 - 114 + 116 - 18*d**4 to j + i*d + x*d**2 + z*d**4 + k*d**3 and give z.
-11
Rearrange -3*m + 38*m**2 + 1 - 42*m**2 + 1 to the form f + j*m + c*m**2 and give j.
-3
Rearrange -1533123*g + g**3 - 228*g**2 + 1533123*g to w*g**2 + r*g**3 + f*g + v and give r.
1
Rearrange (127 - 1479*y + 743*y + 737*y)*(-4*y + 5*y - 2 - 2*y) to k*y + z*y**2 + w and give w.
-254
Express 12 + 4*f - 26*f**2 - 3 - 9 in the form d*f + z + v*f**2 and give v.
-26
Express 96 - 77*z - 96 in the form u + g*z and give g.
-77
Rearrange 41*t + 109*t**2 - 24*t - 16*t to the form b*t + r*t**2 + q and give r.
109
Rearrange 932*v**2 + 315*v**2 - 768*v**2 + 691*v**2 + 698*v**2 to t*v**2 + r + n*v and give t.
1868
Rearrange (-3 - 1 - 6)*(3*r**4 - r**4 + 0*r**4) to g*r**3 + k*r**2 + o + h*r**4 + p*r and give g.
0
Rearrange 5*n**2 - 10*n**3 + 107*n**2 + 8*n**3 + 152*n**2 to the form h + u*n + w*n**3 + i*n**2 and give w.
-2
Rearrange -17 - 14 - 31 + 2*t - t**3 - 2*t**2 - 17 to x*t + m*t**2 + c + g*t**3 and give g.
-1
Express (-17*y - 4 + 5 + 0)*(-y - 2*y + y) + 92 + 14*y**2 - 92 + (1 + 3 - 2)*(2*y**2 + 0*y**2 - 4*y**2) as r + d*y + p*y**2 and give d.
-2
Rearrange -44*h**4 + 746*h**4 - 23*h**3 + 10*h**3 + 11*h**3 + 2*h**2 to r*h + l*h**3 + o*h**2 + j + m*h**4 and give l.
-2
Express 11535 + 2*o - 5837 - 5835 in the form w*o + m and give m.
-137
Express 14*i + 75 + 13*i + 2*i + 8*i - 45*i as b + h*i and give h.
-8
Express t - 38 - 2*t**4 + 13 + t**3 + 9 + t**2 + 17 in the form m*t**4 + a*t + v*t**2 + d + y*t**3 and give v.
1
Rearrange (3*k + k + k)*(-3 + 3 - 6) - 4*k + 1 - 3*k - 5*k to the form z + p*k and give z.
1
Rearrange (-5 + 50*r - 20*r - 16*r)*(4 - 4 - r**2)*(3*r - r + r) to p*r**4 + q*r**2 + i + c*r + h*r**3 and give h.
15
Express -2 - 33*c - 62*c + 2 in the form z + f*c and give f.
-95
Rearrange -40*b**2 - 45*b**2 - 1 + 137*b**2 + 2*b**4 - 45*b**2 to o*b**4 + u*b**3 + z + w*b**2 + a*b and give u.
0
Express (-1 - 2 + 0)*(-3*r**2 + 3*r**2 - r**3)*(-2*r - 2*r + r + (2 + 2 - 2)*(r + r - r)) as y*r**3 + p*r + t + b*r**4 + q*r**2 and give b.
-3
Rearrange -2*y + 33*y**3 - 63*y**2 - 47*y**3 + 3*y - 2 + 13*y**3 to the form v*y**3 + s*y**2 + z + q*y and give q.
1
Express -3*l**4 - 663 - 662 - 4*l + 1324 + 38*l**2 as f*l**3 + r*l**2 + t + p*l + b*l**4 and give p.
-4
Rearrange 8*w - 7*w + 0*w + (2 - 3 - 4)*(-8*w - 3*w + 3*w) to the form d*w + i and give d.
41
Express (-l - l + 4*l)*(7129 - 17397 + 6710) in the form a + i*l and give i.
-7116
Rearrange -3 - 10*h + 4 + 9*h + (-3 + 3 + 1)*(-5*h + 4*h + 3*h) - 338*h + 200*h - 248*h to the form u*h + n and give n.
1
Rearrange 6*a**2 + 143*a**2 - 3*a**2 to i*a + r*a**2 + y and give i.
0
Express -7*m + 10*m - 7*m + 155 - 56 in the form t + o*m and give t.
99
Rearrange 12 + 4*q**2 - 2*q**3 - 48*q + 46*q + 16 to the form d*q**3 + l + n*q + v*q**2 and give v.
4
Rearrange 2*c**2 - 181*c - c - 39*c + 6*c to a*c + d + h*c**2 and give h.
2
Express 88*u**2 - 123*u**2 + 151*u**2 as p*u + k*u**2 + f and give k.
116
Express c**3 - 7*c**2 + 4 - 3*c - c**2 + 15*c**2 - 3*c**2 in the form d*c**2 + q*c**3 + z + w*c and give d.
4
Rearrange -11*g**2 - 3 + 576*g - 592*g + 2 to the form b + u*g**2 + y*g and give b.
-1
Express 12*s**3 - 11*s**2 + 2324 - 2*s - 1170 - 1156 + (-2 + 4 - 3)*(-s**3 + 3 - 3) + 3*s + 2*s**3 - 3*s in the form t*s**3 + h*s + q*s**2 + n and give h.
-2
Rearrange ((3*x - x + 0*x)*(-3 + 6 - 1) + 3*x - x - 3*x)*(3*x + x + 5*x)*(3 - 3 - 4*x) to y*x**2 + r*x**3 + c + j*x and give r.
-108
Rearrange 165*p**2 - 30 - 30*p**4 + 29 - 167*p**2 to m*p + o + s*p**4 + l*p**3 + x*p**2 and give s.
-30
Rearrange 5*v**4 + 3*v**4 - 2 + 4*v**2 + 204*v - 202*v to the form g*v + s*v**3 + i*v**4 + n + p*v**2 and give g.
2
Express -163 - 118 - 23 - 42446*f + 42445*f in the form v + u*f and give v.
-304
Express 8078 - 8078 - 133*y**2 in the form a*y + p*y**2 + j and give p.
-133
Express -5 + 9 + 553*t**2 - 4 + 532*t**2 in the form h*t**2 + a*t + d and give h.
1085
Rearrange (3*j + 0*j - j)*(288 - 1104 - 1097 + 42) to the form b*j + u and give b.
-3742
Rearrange 204*d**2 - 519*d**2 - 761*d**2 + 49*d**2 to the form c + p*d**2 + o*d and give p.
-1027
Express (-8 + 5*p + 8)*(0 + 2 + 0 + (-3 + 5 - 1)*(3 - 1 - 4) + 926 + 329 - 777) in the form b + z*p and give z.
2390
Rearrange (5*b + 0*b - 2*b)*(2 + 1 - 1)*(-190*b**3 - b**2 + 80*b**3 + 197*b**3) to the form p*b**4 + r*b**2 + w*b**3 + h + z*b and give p.
522
Express (-793629 - 942*y**3 + 793629 - 404*y**3)*(-y + 0*y - y) as p*y**3 + j*y**4 + l + a*y + i*y**2 and give a.
0
Express -4 - 4*n - 2*n**3 + 19*n**3 + 5*n - 8 + 20 in the form y + s*n**3 + k*n + j*n**2 and give k.
1
Rearrange (c**3 + c**2 - c**2)*(1 - 1 + 2) + 3*c**3 - 5*c**3 - c**3 + (-34*c + 34*c + 20*c**2)*(3 + c - 3) to j*c + g + s*c**3 + v*c**2 and give s.
19
Rearrange 18*l + 58*l**2 + 5*l**2 + 8*l - 25*l + 2 to t + u*l + v*l**2 and give v.
63
Rearrange (4*l - 3*l - 3*l)*(-24 + 1279*l + 19 + 6) to n*l**2 + z*l + s and give n.
-2558
Express -525*s**3 + 514*s**3 + 1 - 2*s + 3*s**4 + s**2 - s**2 in the form x*s**2 + f + t*s + a*s**4 + o*s**3 and give a.
3
Rearrange 3 - 3 - 2*v + (0*v - v - v)*(2 - 1 + 1) + (-3 - 3 + 1)*(2 - 2*v - 2) - 2*v + 3*v + 2*v to j*v + i and give j.
7
Express (3*m + 0*m - 5*m + (2*m + m - 2*m)*(1 + 0 - 2) - 1 + 2*m + 1 + 2*m - 2*m + 2*m - 9*m - m + 3*m)*(-m - 3*m + 2*m) as o + z*m**2 + f*m and give z.
12
Express -29*z + 497 - 2*z
|
{
"pile_set_name": "DM Mathematics"
}
|
2*sqrt(567) + 3)**2 - (0 + sqrt(175) - (2 + 1 + sqrt(7))**2)).
-45952 - 487*sqrt(7)
Simplify -2 + (0 + sqrt(612) + 5 + 3)**2 + sqrt(85)/(-6*sqrt(5)*-1 + sqrt(5)) + 5.
673*sqrt(17)/7 + 679
Simplify (3 + (1 + ((sqrt(192) + -1)*3 - (sqrt(192) + 0 + -1 - sqrt(192))))**2)*3 + 1.
-144*sqrt(3) + 5197
Simplify 5 + 5 + -4 + 2 + sqrt(1053) - (5 + ((sqrt(1053) + 3 + sqrt(1053))*4*-4)**2).
-1080573 - 27639*sqrt(13)
Simplify ((sqrt(88) - sqrt(88)*1)*5 + 6*sqrt(88)*-2)/((sqrt(8) - (sqrt(8) - 6*sqrt(648) - sqrt(8)))*-5).
12*sqrt(11)/275
Simplify ((-1 + (2*sqrt(2448)*5*1 - ((-3 + sqrt(2448) - sqrt(2448) - sqrt(2448)) + -5)*5))*1)**2.
14040*sqrt(17) + 552321
Simplify -1*(-4*sqrt(300)*-3 + (-1 + 2*sqrt(300) - sqrt(300))**2 - (((sqrt(300) + -3)*6 + sqrt(300))**2 + 2)).
-2620*sqrt(3) + 14725
Simplify ((((5 + -1 + sqrt(243))*-2)**2 - -5*(1 + sqrt(243))**2*5) + -1)*3.
2214*sqrt(3) + 21405
Simplify (-1 + (sqrt(144)/sqrt(288))/((-3*sqrt(66)*-5 - sqrt(66))/sqrt(11)))**2.
-sqrt(3)/42 + 2353/2352
Simplify ((1*sqrt(32))/sqrt(8) - (6*-1*sqrt(4) + sqrt(4)))/(2*sqrt(2)*-1 - (sqrt(2) + sqrt(72))) + -2 + 5.
-2*sqrt(2)/3 + 3
Simplify (-6*(sqrt(33) + sqrt(297)*1)*-5)/(5*sqrt(144)/sqrt(3)*4) + -2.
-2 + 3*sqrt(11)/2
Simplify ((-1 + -1*(-4 + (-2*(sqrt(1300) + 1*sqrt(1300) + sqrt(1300)) + sqrt(1300))*-5))*-5)**2.
-37500*sqrt(13) + 20312725
Simplify ((-2 + sqrt(343) + 5 - -3*3*sqrt(343))*-3*5)**2.
94500*sqrt(7) + 7719525
Simplify -3*((sqrt(152)*2 + sqrt(152))*6 + 4*(sqrt(152) - 2*sqrt(152)))/(sqrt(96)/(sqrt(768)*1)).
-336*sqrt(19)
Simplify ((sqrt(143) - (-5*sqrt(143)*-2 - sqrt(143)) - (sqrt(143) - 1*sqrt(143) - sqrt(143))*1)/(-1*sqrt(539)*-3))**2*4*2.
104/9
Simplify (-6*-6*(2*sqrt(1800) - sqrt(1800) - sqrt(1800)))/(-1*(sqrt(490) + sqrt(490) + 2*sqrt(490))*4).
0
Simplify 0 + -2*(3 + 3*3*sqrt(1216) + (sqrt(1216) + 2)*-2 + 4)**2.
-119186 - 672*sqrt(19)
Simplify (-5*sqrt(252) + 2 + (sqrt(252) - sqrt(252)*-6)*-1 - (5*(-1 + sqrt(252) + -5 + sqrt(252)) + -5))**2.
-9768*sqrt(7) + 123337
Simplify 2*(sqrt(200) - (-3 + sqrt(200)))*-4 - 1*((1*sqrt(2)*1)**2 + sqrt(100)/sqrt(2)).
-26 - 5*sqrt(2)
Simplify ((sqrt(168) - (sqrt(168) + sqrt(168)*-2*-2))/((1*sqrt(288) - sqrt(288)) + sqrt(288)))/(sqrt(432) + sqrt(432)*2*-1 - 5*(-2*sqrt(432) - sqrt(432))).
-sqrt(7)/252
Simplify 5*(6*3*(sqrt(847) + 1) + 2 - ((sqrt(847) - (sqrt(847) + (sqrt(847) + -3)*-6)) + (sqrt(847) - (3 + 3*sqrt(847)))))**2.
63140*sqrt(7) + 838465
Simplify (sqrt(405) + -5 + sqrt(405)*-2 + -5 - (4*sqrt(35)/(sqrt(7) + 2*sqrt(7)) + -4))*-2.
12 + 62*sqrt(5)/3
Simplify ((-1*sqrt(700)*-2)**2 + sqrt(700) + (-6*(-2*sqrt(700) + sqrt(700)) + sqrt(700))**2)*6 + -5.
60*sqrt(7) + 222595
Simplify (-1*(sqrt(204)*3 - sqrt(204)) - sqrt(204)*-2*2)/(sqrt(1728) - -2*sqrt(1728) - (sqrt(48)*2 - sqrt(48))).
sqrt(17)/17
Simplify (sqrt(4212)*1)/(sqrt(4) - (1*sqrt(64) + sqrt(64))) - (-5*((2*sqrt(1300))**2 + sqrt(1300)) - (-4 + (-1 + sqrt(1300))**2)).
201*sqrt(13)/7 + 27297
Simplify 4 + (-5 + (sqrt(12) + 2 + sqrt(3) + sqrt(363) + -1)**2)*-5 + -1.
-2917 - 140*sqrt(3)
Simplify 2 + (-1 + 1 + (sqrt(500) + 3*-1*sqrt(500) - (-2*sqrt(500)*2 - sqrt(500))) + 2)**2.
120*sqrt(5) + 4506
Simplify (-1*sqrt(19)*-1 - -6*(sqrt(19) - sqrt(57)/sqrt(3)) - 4*-1*sqrt(475)) + (0 + sqrt(304) + -6*sqrt(684) + 4)**2.
-235*sqrt(19) + 19472
Simplify -2*3*sqrt(637) + -4 + sqrt(637) + 2*sqrt(637) + 4 + -2*(sqrt(637) + 0).
-35*sqrt(13)
Simplify (-3*sqrt(50)*-2)/(sqrt(10)*-2*1) + ((sqrt(15)*-2 + sqrt(15))*-3)/(sqrt(12)/(2*sqrt(4))).
3*sqrt(5)
Simplify -6*(-1 + -1*(sqrt(171)*-1*-2)/(sqrt(18)/(sqrt(6)/sqrt(3)))).
6 + 12*sqrt(19)
Simplify ((-1*(sqrt(176) + 2*sqrt(176)))/((sqrt(11) - (-2*sqrt(11) + sqrt(11)))*-3))/(sqrt(320)/sqrt(90) + 2*sqrt(32)*-2).
-3*sqrt(2)/44
Simplify -4*((sqrt(640)*-4)/(sqrt(8)/sqrt(2)*6))/(sqrt(55)/(sqrt(11)*2 - sqrt(11)) + sqrt(50)/(sqrt(10)*-3))*5.
80*sqrt(2)
Simplify (5*(5*4*(sqrt(684) + 1) - (1 + sqrt(684)*-1 - (sqrt(684) + 0)*-6))*-1*5)**2.
2137500*sqrt(19) + 96413125
Simplify ((-5 + ((sqrt(171) + 0 + sqrt(171) + sqrt(171))*-4 - sqrt(171)) + sqrt(171) + -1)*6*-1*-5*5)**2.
9720000*sqrt(19) + 554850000
Simplify (3*(-1*sqrt(540) - 6*(sqrt(60)/sqrt(4) + sqrt(15))))/(-1*(sqrt(243) + 6*1*sqrt(243))) + 2.
6*sqrt(5)/7 + 2
Simplify (5 + -6*(sqrt(539) - (-4 + sqrt(539))) + 1 - 1*(-4 + (3 + sqrt(539) - sqrt(539))*-5))**2.
1
Simplify ((sqrt(3) + (sqrt(3) - (1 + sqrt(363))) + sqrt(3))**2 + sqrt(21)/(sqrt(14)/sqrt(2)) - (sqrt(3) - (-3*sqrt(75) - sqrt(3)) - sqrt(54)/sqrt(2))**2)*-4.
-68*sqrt(3) + 1580
Simplify (4 + -3 + sqrt(612))**2 + 0 + (sqrt(85)/sqrt(5) + -1 - (sqrt(51) - sqrt(51)*3)/sqrt(3)).
15*sqrt(17) + 612
Simplify (-3*(sqrt(130)*2*2 + 1*sqrt(130)*-1))/(5*sqrt(250) - 1*sqrt(10)*1).
-3*sqrt(13)/8
Simplify (-5*(2*sqrt(162) + -5 + 2 + 0 + (sqrt(162) - -1*(sqrt(162) + 3))) + 3)**2.
-1080*sqrt(2) + 64809
Simplify 5 + (4*sqrt(88)*4)/(sqrt(162) - (sqrt(162) + 5*4*sqrt(162))).
-8*sqrt(11)/45 + 5
Simplify 6*5*(6*(-1 + sqrt(7) + (sqrt(448) - (sqrt(448) - (2 + sqrt(448))))**2) - (1*sqrt(28)*-2)/(sqrt(32)/sqrt(32))).
6060*sqrt(7) + 81180
Simplify (3*(2*sqrt(112) + 1 + sqrt(112) + -4 - (-4*(0 + sqrt(112) - sqrt(112)) + (sqrt(112) + 1)*3))*-4)**2 + 5.
5189
Simplify -3 + (-2 + (-3 + sqrt(684) + sqrt(684) + sqrt(684) + 0 + sqrt(684) + sqrt(684) + 5)**2 - (sqrt(684)*2*-5 - (6*3*sqrt(684))**2)).
180*sqrt(19) + 238715
Simplify sqrt(1088) + -1 + sqrt(170)/sqrt(90) - (sqrt(68)*-1*-6 + 5)**2.
-2474 - 335*sqrt(17)/3
Simplify ((-5*(sqrt(700) + 3 + sqrt(700) - sqrt(700))*-6 + (-3*sqrt(700)*-2 - (sqrt(700) + 1 + -1)))*-1)**2.
63000*sqrt(7) + 865600
Simplify 3*(-1*(sqrt(4212) + -1)**2 + 2 + (sqrt(4212)*-1 - sqrt(4212))**2) - (sqrt(832)*2*-3 + (-5*(sqrt(832) + -2))**2).
956*sqrt(13) + 17011
Simplify (sqrt(11) - (1 + 4*sqrt(11))) + sqrt(11) - (sqrt(1584) + 3 + sqrt(1584)) - ((-1 + sqrt(99))**2 + 4)*1.
-108 - 20*sqrt(11)
Simplify (sqrt(3) + 1 + sqrt(3) + -2 - sqrt(3))*6 + 1 + -6*(0 + sqrt(432))**2*-3.
6*sqrt(3) + 7771
Simplify (1*sqrt(162) + -2 - (-3 + 2 + sqrt(162))**2) + (2*sqrt(72)*-1 + (sqrt(72) + 0 - sqrt(72)) + 5 + -4)**2.
3*sqrt(2) + 124
Simplify ((-2*(1*sqrt(3264) + sqrt(3264)) - (sqrt(3264) - sqrt(3264)*-1)*5)/((2*sqrt(1029))/(sqrt(847) - sqrt(847)*-1 - sqrt(7))))**2.
479808
Simplify (-3*(-2*sqrt(77) + sqrt(77))*2*-4)/((sqrt(99) - (sqrt(99) + sqrt(99)*2*-5))/(-2*sqrt(18)/sqrt(2))).
24*sqrt(7)/5
Simplify (2 + (1 + sqrt(76))*1 + sqrt(76)*-2 + 1 + 4 + -5 + -1)**2.
-8*sqrt(19) + 80
Simplify sqrt(117) + ((-1 + sqrt(117))*4)**2 - -5*(-2*sqrt(117))**2 - (-6*(sqrt(117) - (-5 + 1 + sqrt(117))))**2.
-93*sqrt(13) + 3652
Simplify -3 + (-6*((sqrt(90)*2 + sqrt(90) - sqrt(90)) + sqrt(90)))/(((sqrt(20) - (sqrt(20) + sqrt(60)/sqrt(3)))*4)/sqrt(10)) + 1.
-2 + 27*sqrt(5)/2
Simplify (((sqrt(190) - (sqrt(190) - -3*sqrt(190)*-5)) + sqrt(190) + sqrt(190))*1)/((sqrt(1210) + sqrt(1210)*1)*1) + 4.
17*sqrt(19)/22 + 4
Simplify ((sqrt(2160) + 3*sqrt(2160))/sqrt(12) + -3)**2 - (sqrt(125)*2 + ((sqrt(5) + 1)*-2)**2).
-162*sqrt(5) + 2865
Simplify (6*-4*sqrt(91) - (sqrt(91) - (sqrt(91)*-1 - sqrt(91))*5))/((5*sqrt(70)*3)/sqrt(10)*6).
-7*sqrt(13)/18
Simplify (((2*sqrt(3078))/(sqrt(22)/(sqrt(99) - sqrt(11))) - (sqrt(57) + (-4*sqrt(57)*2 - sqrt(57) - sqrt(57)) - sqrt(57))/(sqrt(3) - 2*sqrt(3)*6))*-2)**2.
11323696/121
Simplify (-1 + (-1 + sqrt(2057))*1)**2 - (sqrt(136)/(-1*sqrt(72))*-2)**2.
-44*sqrt(17) + 18481/9
Simplify (-1 + sqrt(468) + -1 + sqrt(468) + 5 + sqrt(468) + (1 + sqrt(208) + -5)*3)**2.
-540*sqrt(13) + 11781
Simplify (-5 + -3*(sqrt(684)*2 + 4 - sqrt(684)))**2 + ((sqrt(684) - (-1 + sqrt(684)*2))**2 - ((sqrt(684) + 4*sqrt(684)*1)**2 + sqrt(684))) + -5.
-9975 + 594*sqrt(19)
Simplify ((-5 + -1 + (sqrt(121) - sqrt(121)*-3*-1)/(sqrt(11) - ((sqrt(1584) - sqrt(1584)*3) + sqrt(1584))))*3)**2.
216*sqrt(11)/13 + 55152/169
Simplify 5*(-5 + 6*(sqrt(272) + 1))**2 - (-1*1*sqrt(17) - sqrt(187)/(sqrt(44) + sqrt(11)) - 6*(sqrt(153)/(sqrt(9)*2) + sqrt(17)))**2.
240*sqrt(17) + 424348/9
Simplify 2*(((sqrt(68) - (4*sqrt(68) + sqrt(68)))*-2)/(2*sqrt(4)*1))**2*-3 + 1.
-1631
Simplify (-6*-3*(4*(sqrt(200) - ((-2 + sqrt(200))*6 - sqrt(200))) + (sqrt(200) - 1*(2 + sqrt(200)) - (sqrt(200) + 1)*4)))**2.
-5443200*sqrt(2) + 26491536
Simplify 2*(5*sqrt(1216)*-2)**2 + -2 + 1*((sqrt(1216) + sqrt(1216) + -2 + 0)**2 + 5) + -5.
-64*sqrt(19) + 248066
S
|
{
"pile_set_name": "DM Mathematics"
}
|
ighest common factor of 486 and 3510?
54
Calculate the greatest common factor of 47 and 73837.
47
What is the greatest common divisor of 324 and 180?
36
What is the highest common divisor of 671 and 22?
11
What is the highest common divisor of 976 and 3294?
122
What is the highest common factor of 296 and 28564?
148
Calculate the greatest common divisor of 28 and 36.
4
What is the greatest common divisor of 45 and 70?
5
Calculate the greatest common factor of 1440 and 1260.
180
Calculate the highest common divisor of 984 and 902.
82
Calculate the highest common divisor of 2006 and 68.
34
Calculate the greatest common divisor of 102 and 374.
34
What is the highest common factor of 19722 and 342?
114
What is the greatest common factor of 208 and 8944?
208
Calculate the highest common divisor of 15 and 4080.
15
What is the greatest common factor of 90 and 330?
30
Calculate the highest common divisor of 102 and 289.
17
Calculate the greatest common divisor of 117 and 624.
39
What is the highest common divisor of 354 and 72?
6
What is the highest common divisor of 507 and 1859?
169
Calculate the greatest common divisor of 112 and 116.
4
What is the greatest common divisor of 59 and 1888?
59
Calculate the highest common factor of 497 and 119.
7
What is the highest common divisor of 27474 and 114?
114
What is the greatest common factor of 45 and 1140?
15
Calculate the greatest common divisor of 33 and 704.
11
What is the greatest common factor of 402 and 186?
6
What is the greatest common divisor of 32 and 352?
32
Calculate the greatest common divisor of 351 and 26091.
117
Calculate the highest common divisor of 144 and 468.
36
What is the greatest common divisor of 240 and 45?
15
What is the highest common divisor of 69 and 10327?
23
Calculate the greatest common factor of 156 and 408.
12
What is the greatest common divisor of 4 and 760?
4
Calculate the greatest common divisor of 880 and 1424.
16
What is the highest common divisor of 34 and 4828?
34
What is the highest common divisor of 93 and 4898?
31
What is the greatest common divisor of 224 and 1736?
56
Calculate the highest common divisor of 1908 and 53.
53
Calculate the greatest common divisor of 629 and 37.
37
What is the greatest common factor of 17 and 16?
1
Calculate the greatest common divisor of 14 and 1813.
7
Calculate the highest common divisor of 1869 and 6.
3
Calculate the greatest common divisor of 25 and 575.
25
Calculate the highest common divisor of 55 and 121.
11
Calculate the greatest common divisor of 24 and 696.
24
Calculate the greatest common divisor of 603 and 9.
9
What is the highest common divisor of 560 and 805?
35
What is the greatest common divisor of 160 and 4040?
40
What is the greatest common divisor of 288 and 108?
36
Calculate the greatest common divisor of 1904 and 102.
34
What is the highest common factor of 78 and 858?
78
What is the highest common divisor of 12 and 4032?
12
What is the highest common factor of 182 and 28?
14
What is the highest common factor of 39 and 36?
3
Calculate the greatest common divisor of 81 and 576.
9
Calculate the greatest common divisor of 606 and 3.
3
Calculate the highest common divisor of 321 and 6.
3
What is the highest common factor of 92 and 30337?
23
What is the greatest common factor of 13 and 923?
13
Calculate the greatest common factor of 1278 and 54.
18
Calculate the greatest common divisor of 38 and 741.
19
What is the greatest common factor of 5 and 5?
5
Calculate the greatest common divisor of 721 and 6901.
103
What is the highest common factor of 112 and 14?
14
What is the highest common divisor of 114 and 18?
6
What is the greatest common factor of 46 and 161?
23
What is the greatest common factor of 2200 and 650?
50
Calculate the greatest common factor of 117 and 5941.
13
What is the greatest common factor of 589 and 155?
31
Calculate the greatest common factor of 891 and 99.
99
What is the greatest common factor of 72 and 472?
8
What is the highest common factor of 34 and 136?
34
Calculate the greatest common divisor of 75 and 165.
15
What is the greatest common factor of 150 and 3975?
75
What is the greatest common factor of 18 and 68?
2
What is the highest common factor of 10240 and 20?
20
Calculate the highest common factor of 35 and 1645.
35
What is the greatest common factor of 2628 and 2044?
292
Calculate the highest common factor of 584 and 12.
4
What is the greatest common divisor of 549 and 30927?
183
Calculate the greatest common factor of 29 and 928.
29
Calculate the greatest common divisor of 77 and 53207.
77
What is the highest common divisor of 104 and 1066?
26
What is the greatest common divisor of 480 and 11680?
160
What is the highest common factor of 15 and 9?
3
What is the greatest common divisor of 8 and 1688?
8
What is the highest common factor of 240 and 1545?
15
Calculate the greatest common divisor of 2 and 1362.
2
What is the greatest common divisor of 294 and 420?
42
Calculate the greatest common factor of 11284 and 651.
217
What is the highest common factor of 3013 and 23?
23
Calculate the greatest common factor of 16080 and 96.
48
What is the highest common factor of 6 and 21?
3
What is the highest common factor of 20 and 8?
4
Calculate the highest common divisor of 4433 and 1364.
341
Calculate the greatest common factor of 132 and 192.
12
What is the highest common divisor of 3239 and 395?
79
What is the greatest common factor of 840 and 15?
15
Calculate the greatest common factor of 1562 and 110.
22
What is the greatest common divisor of 3 and 243?
3
What is the highest common factor of 25 and 1350?
25
What is the greatest common factor of 92 and 69?
23
What is the greatest common divisor of 184 and 2300?
92
Calculate the highest common divisor of 10 and 90.
10
What is the greatest common factor of 18 and 1638?
18
Calculate the highest common factor of 28 and 4438.
14
Calculate the greatest common divisor of 8341 and 57.
19
Calculate the highest common divisor of 1675 and 5.
5
What is the highest common factor of 28 and 4?
4
What is the greatest common factor of 3477 and 133?
19
Calculate the highest common factor of 41 and 123.
41
Calculate the highest common factor of 23 and 3887.
23
Calculate the greatest common factor of 7086 and 6.
6
What is the greatest common factor of 1333 and 186?
31
Calculate the greatest common factor of 490 and 294.
98
What is the greatest common factor of 1872 and 52?
52
Calculate the highest common divisor of 994 and 14.
14
What is the greatest common divisor of 168 and 462?
42
Calculate the greatest common factor of 12 and 60.
12
What is the greatest common divisor of 1298 and 59?
59
What is the greatest common factor of 416 and 78?
26
What is the greatest common factor of 1456 and 280?
56
What is the highest common divisor of 595 and 340?
85
Calculate the highest common divisor of 2926 and 76.
38
Calculate the greatest common divisor of 195 and 1443.
39
What is the greatest common factor of 261 and 9?
9
Calculate the greatest common factor of 93 and 4123.
31
Calculate the highest common divisor of 1076 and 32.
4
What is the greatest common divisor of 1761 and 3?
3
Calculate the greatest common factor of 812 and 232.
116
What is the highest common factor of 5723 and 485?
97
What is the highest common factor of 8 and 2?
2
Calculate the highest common divisor of 128 and 224.
32
What is the highest common factor of 400 and 144?
16
What is the highest common factor of 1140 and 10?
10
Calculate the greatest common divisor of 36 and 6444.
36
What is the highest common divisor of 256 and 992?
32
What is the greatest common divisor of 286 and 78?
26
What is the highest common factor of 7361 and 51?
17
Calculate the highest common factor of 676 and 52.
52
Calculate the greatest common factor of 11908 and 156.
52
Calculate the highest common factor of 84 and 1932.
84
What is the greatest common factor of 27 and 6408?
9
What is the greatest common factor of 98 and 4?
2
What is the greatest common divisor of 533 and 41?
41
Calculate the highest common factor of 468 and 108.
36
What is the highest common factor of 63 and 7?
7
Calculate the greatest common divisor of 510 and 930.
30
Calculate the greatest common divisor of 172 and 2537.
43
What is the greatest
|
{
"pile_set_name": "DM Mathematics"
}
|
*i**3 = 0. What is i?
-4, -1, 2/7
Let d be (-1)/(((-308)/455)/11). Let z = d + -447/28. Factor -2/7*s**4 + 0 + 2/7*s**3 - 2/7*s + z*s**2.
-2*s*(s - 1)**2*(s + 1)/7
Let w be -12 - ((-347)/23 - 252/(-2898)). Let 3*i**2 - 3/2*i**5 + 3/2*i**4 + 9*i**w - 15/2*i - 9/2 = 0. Calculate i.
-1, 1, 3
Let z = -658 - -1299. Let f = -636 + z. Factor 10/13*b**3 + 0*b - 8/13*b**4 + 2/13*b**f - 4/13*b**2 + 0.
2*b**2*(b - 2)*(b - 1)**2/13
Let y(l) be the second derivative of -l**7/6615 + 7*l**6/1080 - l**5/105 - 119*l**4/12 + 13*l + 2. Let q(n) be the third derivative of y(n). Factor q(d).
-2*(d - 12)*(4*d - 1)/21
Factor -21847 - 468 - 44658 + 1993 + 1140*c - 5*c**2.
-5*(c - 114)**2
Let q be -4 - (-44 + 0 + 1). Suppose -5*m - 12 = s - q, m = -4*s + 13. Factor 6*v**3 - 2*v**3 - 2*v**s + 3*v**2 - 4*v - 1.
(v - 1)*(v + 1)*(4*v + 1)
Let r(d) = 170*d**2 - d. Let z be r(1). Let w = -841/5 + z. Determine f, given that f**3 + w*f + 0 - 8/5*f**2 - 1/5*f**4 = 0.
0, 1, 2
Let s = 1557 + -1555. Let o be (-48)/(-18)*((-7)/14 + s). Determine v so that 0 - 2/5*v + 2/5*v**o - 2/5*v**2 + 2/5*v**3 = 0.
-1, 0, 1
Let m(i) be the second derivative of -i**6/120 - 31*i**5/40 - 121*i**4/48 - 5*i**3/2 + 1272*i - 3. Factor m(k).
-k*(k + 1)**2*(k + 60)/4
Let k be -4*(-3)/(-78) + 24012/(-2106) + 12. Let q be 3 - (1 - (-258)/(-27)). Factor -676/9 - q*g - k*g**2.
-4*(g + 13)**2/9
Suppose -7*j = -4*y + 11, j + 29 = 98*y - 94*y. Find k, given that 1/2*k**4 + k + 5/2*k**2 + 0 + 2*k**j = 0.
-2, -1, 0
Let d(f) be the third derivative of f**7/1260 - f**6/144 + f**5/120 + 5*f**4/144 - f**3/9 + 785*f**2. Suppose d(c) = 0. Calculate c.
-1, 1, 4
Determine r, given that 1/6*r**3 + 5/6*r**2 + 1/2 + 7/6*r = 0.
-3, -1
Let x(j) be the second derivative of 1/70*j**5 + 36*j + 1/3*j**4 - 2*j**2 - 1/21*j**3 - 1. Factor x(w).
2*(w - 1)*(w + 1)*(w + 14)/7
Let w = 37915/9 - 4230. Let q = w - -161/9. Factor -10/3*j**2 - 14/3*j - q*j**3 - 2.
-2*(j + 1)**2*(j + 3)/3
Let x be 145/29 - 13189/2640. Let d(s) be the third derivative of 0 + 6*s + 5/96*s**4 - s**2 - 1/6*s**3 - x*s**5. Find l, given that d(l) = 0.
1, 4
Let w(g) = 3*g**5 - g**4 - 4*g**3 - 4*g - 4. Let l(f) = 9*f**3 - 7*f + f**4 + 1 - 8*f**3 - f**5 + 8*f. Let v(x) = -12*l(x) - 3*w(x). Factor v(a).
3*a**4*(a - 3)
Let v(y) be the third derivative of -14*y**2 + 0*y + 0 - 1/100*y**6 + 0*y**3 - 1/105*y**7 + 1/30*y**5 + 1/210*y**8 - 1/60*y**4. Suppose v(k) = 0. Calculate k.
-1, 0, 1/4, 1
Factor 107*v**3 + 206*v**3 - 318*v**3 + 5354*v**2 + 1271*v**2.
-5*v**2*(v - 1325)
Suppose 5*k = 3*o - 52 - 53, -4*k - 5*o - 84 = 0. Let p = -18 - k. Factor 3*t**3 - 2*t**3 - 3*t**3 + 3*t + 4 + p*t.
-2*(t - 2)*(t + 1)**2
Let l be -6*(-140)/(-10)*(-5 - -1). Let i be ((-3)/(-2))/(126/l). Solve 8/13*a**3 + 10/13*a**2 + 4/13*a + 0 + 2/13*a**i = 0.
-2, -1, 0
Suppose -252 = -26*t - 10*t. Let n be (-2 + t - 9) + 72/16. What is y in -5/2*y - 1 - n*y**2 + 3/2*y**4 + 5/2*y**3 = 0?
-1, -2/3, 1
Let d(k) be the third derivative of 1/20*k**5 - 4*k**4 - 33/2*k**3 - 4 + k**2 + 0*k. Find s such that d(s) = 0.
-1, 33
Let i(z) = 3*z**2 - 2*z - 23. Let h(x) = x**2 - x - 8. Let l(g) = 17*h(g) - 6*i(g). Let t be l(-5). Find r, given that 4*r**2 + 0*r + t*r - 33 + 31 = 0.
-1, 1/2
Let f(k) be the second derivative of k**4/20 + 17*k**3/10 + 63*k**2/5 - 105*k - 4. Factor f(x).
3*(x + 3)*(x + 14)/5
Let f(b) = -2*b**3 - 2*b**2 + 13*b + 5. Let a be (-6)/(1 + -8 + 9). Let z be f(a). Factor -16/5*u + 1/5*u**z + 64/5.
(u - 8)**2/5
Let g(p) be the first derivative of 9/2*p**4 + 18*p**2 + 3/5*p**5 + 39 + 12*p + 13*p**3. Let g(u) = 0. Calculate u.
-2, -1
Let d be (-2)/(-5) - (-1146)/10. Let c = d - 112. Solve 7*n**4 - 9*n**4 - c*n + n**5 + 3*n = 0.
0, 2
Let c(r) be the third derivative of r**8/504 + 2*r**7/105 + 2*r**6/45 - r**5/15 - r**4/4 + 1700*r**2. Let c(y) = 0. What is y?
-3, -1, 0, 1
Let w(h) be the third derivative of -h**7/630 + 31*h**6/180 - 73*h**5/45 + 67*h**4/12 - 19*h**3/2 - 146*h**2 - 1. Factor w(y).
-(y - 57)*(y - 3)*(y - 1)**2/3
Let w(v) be the first derivative of 0*v**3 - 1/18*v**6 + 0*v**2 - 1/15*v**5 + 8 + 0*v + 1/6*v**4. Factor w(q).
-q**3*(q - 1)*(q + 2)/3
Let v = 33 - 23. Suppose 79*b = 18 + 377. Find i such that 16*i**3 + v + 4*i**4 - 12*i**4 + i**b - 10 = 0.
0, 4
Determine i so that -292*i**2 - 9*i**3 + 13455*i + 28566 + 5*i**3 + 7*i**3 - 116*i**2 = 0.
-2, 69
Let b(l) be the third derivative of -l**7/2310 - 7*l**6/220 - 47*l**5/60 - 133*l**4/22 - 722*l**3/33 + 61*l**2 - 2. Factor b(j).
-(j + 2)**2*(j + 19)**2/11
Solve -4/3*g**2 - 464/3*g - 1284 = 0.
-107, -9
Let b be -43 + 1 + 37 - (-2 + 4 + -3 + -4). Factor -2/5*m**3 + b - 4/5*m + 6/5*m**2.
-2*m*(m - 2)*(m - 1)/5
Let w(v) be the first derivative of -104/3*v**2 - 58 + 64*v + 1/15*v**5 + 28/3*v**3 - 5/4*v**4. What is y in w(y) = 0?
3, 4
Factor 743/4*j + 1/8*j**2 + 552049/8.
(j + 743)**2/8
Let c be (30 + 27 + -57)/(-9). Factor -98/17*n**2 + 26/17*n**4 + 0*n + c + 2/17*n**5 + 70/17*n**3.
2*n**2*(n - 1)*(n + 7)**2/17
Let l(z) be the third derivative of z**7/525 - 23*z**6/100 - z**5/150 + 23*z**4/20 - 32*z**2 + 22*z. Find p, given that l(p) = 0.
-1, 0, 1, 69
Suppose -938 - 1246 = -26*d. Let 63*q**2 - d*q**2 + 3*q**3 + 195*q**2 = 0. Calculate q.
-58, 0
Suppose 7*s - 22 = 2*s - 4*r, -2*s + 2*r = 2. Solve 3157*o - 6*o**3 + 15955 + 240*o**s + 4525 + 11*o**3 + 683*o = 0 for o.
-16
Suppose 34*p - 166 - 4 = 0. Let w(t) be the first derivative of t**2 + 15 - 3/2*t**4 + 0*t**3 + 0*t + 4/5*t**p. Factor w(b).
2*b*(b - 1)**2*(2*b + 1)
Let b be -6 - (-136)/51 - (-2)/6 - -13. Let d(g) be the second derivative of b*g + 4/9*g**3 - 4/3*g**2 + 0 - 1/18*g**4. Factor d(p).
-2*(p - 2)**2/3
Suppose -52 - 116 + 28 = -28*c. Find k, given that -2/7 + 0*k**2 - 3/7*k**c + 10/7*k**4 + 5/7*k - 10/7*k**3 = 0.
-2/3, 1
Let f(d) be the second derivative of -5*d**7/42 + d**6/2 + 9*d**5/4 - 155*d**4/12 + 90*d**2 - 324*d - 4. Determine b so that f(b) = 0.
-3, -1, 2, 3
Let g = -112387 - -224775/2. Factor -1/2*w + 3 - g*w**3 - 2*w**2.
-(w - 1)*(w + 2)*(w + 3)/2
Let r be (-23)/2*(1 - 3). Let a be 8/(3 - 5)*4/(-8). Determine m, given that -80 - r*m - 16*m - m - 5*m**a = 0.
-4
Let b(h) be the second derivative of h**5/4 + 365*h**4/6 + 715*h**3/6 - 725*h**2 + 5*h + 135. Let b(u) = 0. Calculate u.
-145, -2, 1
Suppose 167*d**3 + 622/3*d**2 + 128/3*d**4 + 0 + 1/3*d**5 + 248/3*d = 0. Calculate d.
-124, -2, -1, 0
Let i(o) be the third derivative of -3*o - 15*o**2 + 1/3*o**4 + 1/105*o**7 + 1/3*o**3 + 0 - 2/15*o**6 + 1/42*o**8 - 1/15*o**5. Determine n so that i(n) = 0.
-1, -1/4, 1
Let y be 3 - ((-90)/(-80) + (-2)/16). Factor -1556*t**4 + 1561*t**4 - 180*t - 50*t**3 + 80 + 74*t**2 + 91*t**y - 20*t.
5*(t - 4)**2*(t - 1)**2
Let m(p) be the first derivative of -5*p**2 + 0*p + 0*p**3 + 5/24*p**4 - 1/12*p**5 - 17. Let u(v) be the second derivative of m(v). Let u(w) = 0. What is w?
0, 1
Let w(b) be the second derivative of -b**4/6 + 1082*b**3/21 - 88*b**2 - b - 657. Factor w(l).
-2*(l - 154)*(7*l - 4)/7
Let n(g) = -15*g + 44. Let t(o) = -3*o + 9. Let q(s) = 2*n(s) - 11*t(s). Let l be q(5). Let -l*m - m**3 + 12*m**3 - 7*m**3 + 2 - 2*m**4 = 0. What is m?
-1, 1
Suppose 2*p - 3*z - 2*z - 77 = 0, -4*z = 12. Determine h so that p*h**2 - 22*h**2 - 8 - 98*h**4 + 97*h**2 = 0.
-1, -2/7, 2/7, 1
Let w = 71/300 + 49/300. Factor 2/5*s**2 - w*s**4 + 0 + 2/5*s - 2/5*s**3.
-2*s*(s - 1)*(s + 1)**2/5
Let v(q) be the third derivative of q**5/210 + 19*q**4/6 - 536*q**3/21 - 2071*q**2. Determine y, given that v(y) = 0.
-268, 2
Let x be 21/14 - (-3 - (-9)/(-2)). Factor 8*r - 2*r**3 - 3*r**2 + x*r**2 - 2*r**3 - 2*r**2.
-4*r*(r - 2)*(r + 1)
Let u = -18/221 + 252/221. Suppose 0 = -841*n + 870*n - 87. Solve 2/17*t**5 + 10/17*t**4 + 0 + 14/17*t**2 + 4/17*t + u*t**n = 0.
-2, -1, 0
Let y(a) be the third derivative of a**6/40 + 61*a**5/10 - 247*a**4/8 + 62*a**3 + a**2 + 2147*a. Factor y(w).
3*(w - 1)**2*(w + 124)
Suppose -15/4*p**3 + 0*p + 3/2*p**4 - 9/2*p**2 + 3/4*p**5 + 0 = 0. Calculate p.
-3, -1, 0, 2
Determine b so that -104*b - 507 - 28*b**2 + 5 + 67 - 26*b + 33*b**2 = 0.
-3, 29
Let m(f) be the second derivative of 0*f**6 + 1/15*f**3 - 4*f + 0*f**2 + 1/105*f**7 + 0*f**4 - 6 - 1/25*f**5. Factor m(i).
2*i*(i - 1)**2*(i + 1)**2/5
Suppose 0*n**2 + 246/5*n**4 + 0*n + 0 + 48*n**3 + 6/5*n**5 = 0. Calculate n.
-40, -1, 0
Find x, gi
|
{
"pile_set_name": "DM Mathematics"
}
|
Let r be (-4 - 1)*5/((-50)/8). Let a = r - 0. Suppose 0 = a*l + u + 3, -4*l - l = -5*u - 15. Solve 0 = y - l*y + 3 for y.
-3
Let r = -8456 + 8497. Solve r + 7 = 8*g for g.
6
Let z(x) = 550 - 3*x + 0*x - 557. Let r be z(-7). Solve -6*b + 16 = -r for b.
5
Let s(h) = -8*h - 118. Let k(i) = -3*i - 40. Let f(m) = 14*k(m) - 5*s(m). Let g be f(15). Solve 13*z - z - 48 = g for z.
4
Let y be (-15)/10 - 234/(-48)*36. Solve -29*o + 58 = -y for o.
8
Let l(w) = w**2 - 331*w - 995. Let f be l(-3). Solve -f*b + 22 = 15*b for b.
1
Suppose -1018*p + 1011*p = -119. Suppose -p*v = -12*v - 55. Solve 7 + v = 6*c for c.
3
Let u = 88 + -84. Suppose 0 = 2*x - u*t + 30, -5*x + 3*t - 2*t = 84. Let r = x - -35. Solve 5*h + r = -2 for h.
-4
Suppose 9 = 2*z + 2*z + b, 4*b = 3*z - 2. Let l be ((49/(-14))/7)/(4/48). Let j(c) = -c**2 + 107*c + 689. Let p be j(l). Solve 3*v = -p + z for v.
-3
Let s be ((-14)/(-28))/(10 + (-351)/36). Solve 0 = s*l + 661 - 665 for l.
2
Let n(b) = b**2 + 3*b + 4. Let v be n(7). Let w(x) = -5*x**2 + 7*x - 14. Let q be w(4). Let r = v + q. Solve r = 4*z - 0 for z.
2
Let q be 6/7 - (-20)/140. Suppose -4*w + 22 = 2. Suppose -i - 2*z = -10, -2*z + w - q = 0. Solve i*y = y for y.
0
Suppose -8*c - 22 + 30 = 0. Suppose 4*g - 5*i = 23, 4*i = -4*g - 3 - c. Solve 0 = g*n - 5 + 3 for n.
1
Suppose -4*m + 22 = 2*s, 40*m - 37*m = 3*s + 30. Solve -15*x = m*x + 22 for x.
-1
Let r(c) = c - 5. Let s be r(7). Let n(o) = -o**3 - 2*o**2 - 4*o - 5. Let k be n(-2). Let u be ((-152)/(-12) + -6)/(k/9). Solve 2*h = -s*h - u for h.
-5
Suppose -4*y - 5*s - 25 = 0, 2*y - 2*s - 10 = -0*s. Suppose -5*z + 0*h = -2*h - 82, y = 3*z - h - 49. Suppose -14 = -15*t + z. Solve t*n + 3 - 13 = 0 for n.
5
Let w be 294/98*(-4)/(-3). Let o(d) = d + 11. Let a be o(0). Let i = 71 + -66. Solve w = i*r - a for r.
3
Let f = 9243 - 9237. Solve -12*g + f = -54 for g.
5
Suppose -26*g + 10933 = -8021. Solve g*q = 716*q - 52 for q.
-4
Let p(a) = 20*a**2 - 1522*a + 171. Let k be p(76). Solve 0 = -7*w - 12*w + k for w.
1
Let i(l) = -l**2 + 17*l + 40. Suppose -q = -1, 4*u + 0*u + 4*q = 80. Let s be i(u). Suppose s*y - 25 = -0*y + g, -55 = -3*y - 2*g. Solve 0 = -2*w - w - y for w.
-5
Let v be ((-3)/(-2))/(2/20). Suppose 169*h - 441*h = -544. Solve -h*u - u - v = 0 for u.
-5
Let y(l) be the first derivative of -l**4/4 - 25*l**3/3 + 8*l - 43. Let v be y(-25). Solve 6*j = -v - 22 for j.
-5
Let v(l) = 2*l**3 - 36*l**2 - 39*l + 9. Let j be v(19). Let a be (-5 + 3)/j + (-27)/(-15). Solve 8*t = a*t for t.
0
Suppose 0 = -45*a + 326 - 236. Solve 35*h = 37*h + a for h.
-1
Let s(a) = 15*a - 13. Let x(r) = -23*r + 19. Let n(u) = 8*s(u) + 5*x(u). Let l be n(3). Suppose -3*w = -l, -5*p + 8*p - 14 = -4*w. Solve -2*v + p = -8 for v.
5
Let m = -45 + 49. Let j(s) = -s**2 - 5*s - 3. Let x be j(-4). Suppose -5*n - 10*r = -65, -r + 7 - 17 = -5*n. Solve n*p - m = -x for p.
1
Suppose -2259*n + 1216 = -2221*n. Solve 17*v - 30 = n*v for v.
-2
Let s(r) = -r**2 + 11*r - 19. Let q(v) = -v**2 - 9*v - 14. Let b be q(-7). Suppose 48 = 6*a - b*a. Let m be s(a). Solve m*f = f + 4 for f.
1
Let y be (-30)/(-4)*(1 + (2 - 1)). Let o = 10241 - 10214. Solve -4*q - y + o = 0 for q.
3
Suppose -24*b = -1004 - 244. Solve -b = -24*g + 68 for g.
5
Let p = 25 + -9. Suppose 6*o - o = 100. Let j = o - p. Solve 24 = 4*y + j for y.
5
Let g be (-2)/(-4)*(-61)/(1220/(-200)). Suppose -i = -0*i - 2. Solve -6*a + i = -g*a for a.
2
Let m = 6 + -6. Let l = -7119 + 7122. Solve m*q + l*q = -15 for q.
-5
Let a = -2487 + 2532. Solve -41*s + 45 = a for s.
0
Suppose -4*a - 4*c + 76 = 0, -86*a - 5*c + 17 = -87*a. Solve -a*s - 1 = 12 for s.
-1
Suppose 0 = -3*b + 24 - 3, -d = 4*b - 595. Solve -9*w = -d + 531 for w.
4
Suppose -145*c = -142*c + 132. Let l(h) = -6*h - 259. Let v be l(c). Solve v*b = 5 - 5 for b.
0
Let r = 14 + -11. Let a be (11 - r)/(-2 - -4). Solve a*p - p = 15 for p.
5
Let h(x) = 18*x**2 - 25*x + 51. Let s be h(4). Solve 229 = 2*g + s for g.
-5
Suppose 20 = 21*o - 11*o. Suppose -10 - 26 = -5*q + 2*k, -4*q + o*k = -30. Solve -a = -q*a - 15 for a.
-3
Suppose -3*n + 421*h - 424*h + 63 = 0, 5*h - 25 = 0. Solve -n*q = -25*q for q.
0
Suppose -4*u = 351 + 265. Let a = u - -154. Solve a = n - 0*n - 2 for n.
2
Let v = -59 + 95. Suppose -7*l - 5*l = -v. Solve -14 + 2 = -l*b for b.
4
Suppose 4*o - 2*w = -63 - 719, -5*o = -3*w + 979. Let x = o - -214. Solve 25*p - x*p = 5 for p.
1
Suppose 37*v = 10*v + 162. Suppose 10*r = 3*r + v*r. Solve h + 4 - 1 = r for h.
-3
Let v = 6 - 3. Let b(q) = 3*q**2 + 4 + 11*q**3 + 2*q + 3*q**3 - 4*q**2 - 13*q**v. Let n be b(0). Solve -d = d + n for d.
-2
Let v(y) = y**2 - 2*y - 32. Let c be v(-5). Suppose 7*g - 3*g - 32 = c*n, 2*g - 5*n = 30. Solve -3*d - 14 = -g for d.
-3
Let d be 4/(4/21) + (-6 - -9). Suppose z + d*z = 300. Solve -3 - z = -3*x for x.
5
Let x = -8 + 5. Let u be (-2 - -5) + (x - -1). Let j be 53/((-5883)/296)*36/(-32). Solve -y = u - j for y.
2
Let o = 246 - 250. Let k be (o + 324/63)/((-2)/(-7)). Solve -3 = k*s - 19 for s.
4
Let x(r) = -r - 1. Suppose 0 = -5*m + q + 9 + 8, -m + 2*q = 2. Let z be (-2 - (-39)/18)*m*-9. Let j be x(z). Solve j = -2*g - 1 for g.
-3
Let f = 7376 - 7348. Solve b - 22 = -f for b.
-6
Suppose 2*k + 11 = -5*t - k, 4*t + 10 = -3*k. Let h be (-6)/(((t - -4) + 0)/(-2)). Solve 7*w + 12 = h*w for w.
-4
Suppose 4*w = 3*w - w. Let g be (6 - 3) + w - (-916)/(-2). Let c be g/(-49) - (-2)/(-7). Solve -2*i = 1 - c for i.
4
Suppose 3*b + 27 = 3*t, 4*t + 1 = -4*b + 5. Suppose -9*c = 3*c + 288. Let j = c - -24. Solve -t = 5*p - j for p.
-1
Suppose -2*p - 4 = -5*b, 5*b = -2*p + 108 - 72. Solve -20 + 20 = -p*q for q.
0
Let n = 2188 + -3137. Let p = n + 957. Solve p - 18 = 5*s for s.
-2
Let n be (100 - -2)/3 - -2. Let o be 174/34 - n/306. Suppose -8 + 8 = o*d. Solve 3 = a - d for a.
3
Let c(u) = -7*u - 52. Let g(t) = -8*t - 77. Let o be g(-8). Let a be c(o). Solve 0 = 5*s + a - 14 for s.
-5
Suppose -5*j = -252*u + 247*u - 175, 31 = j - 5*u. Solve 0 = 43*d - j*d + 28 for d.
-4
Suppose a - 3 = b, -2*b + 15 = 23*a - 18*a. Suppose -18 = -a*z - 9. Solve 2*d - z = d for d.
3
Suppose -4*y - 3*i + 78 = 0, y - 10 = 3*i + 17. Let h(m) = m**2 + 13*m + 32. Let x be h(-10). Solve -5*p = x*p - y for p.
3
Let x = 3 + 13. Suppose -5*a - x = -6*a. Let g be -2*((-2)/(-6) - a/12). Solve -s - 1 - g = 0 for s.
-3
Suppose 4*o - 2*q + 14 = 0, 435*o = 431*o + q - 7. Solve o = 44*z - 66*z + 132 for z.
6
Let r = -4031 + 4034. Solve r*f - 14*f = 33 for f.
-3
Let q = -7436 - -8045. Solve 7*t + 581 = q for t.
4
Let l(o) = 7*o + 202. Let j(s) = 7*s + 205. Let q(p) = -5*j(p) + 6*l(p). Let b be q(-26). Solve -6 = b*z + 14 for z.
-4
Suppose 87 + 21 = -2*a. Let h = a - -56. Suppose -3*k + h = -4*z + 11, -z + 4*k = -12. Solve -5*p - 4 - 6 = z for p.
-2
Let t = 76 - 64. Let l(x) = -x + 14. Let c be l(t). Solve 0 = -4*b - 18 - c for b.
-5
Let d(y) = -y**3 - 5*y**2 + 4*y - 6. Let r be d(-6). Let m be 5*(24/(-18))/((-4)/3). Suppose -8*q = -m*q - 30. Solve -i = -r*i - q for i.
-2
Let t = 108 - 108. Let d = -87 - -92. Let g(b) = b**2 - 13*b + 18. Let y be g(12). Solve d*a + y - 31 = t for a.
5
Let v be 0/(-4)*(-4)/8. Solve -2*k + 13*k = v for k.
0
Let f(y) = -589*y**2 + 20*y - 21. Let w be f(1). Let a = -581 - w. Solve a*d = -1 + 19 for d.
2
Let a be (-86)/1075 + ((-6)/25)/(-3). Solve a = -188*h + 191*h + 3 for h.
-1
Let w(v) = v**3 + v**2 + v - 4. Let i be w(0). Let y be 4 + 6/24*i. Solve y*f + f = -16 for f.
-4
Let t(h) = h - 3. Let z be t(8). Suppose 0 = -7*v + 9 + z. Solve v*r + 8 = 2 for r.
-3
Let j be -15 - -7 - -12 - (0 + 5). Let r be (j - (0 - 3))/(8/12). Solve -r*c = 2*c + 5 for c.
-1
Let w(n) = n**2 + 6*n - 48. Let o be (-3)/9 + (12/9 - 1). Let h be w(o). Let b be 1/(-3) - h/9. Solve -b = -5*m + 15 for m.
4
Let v = -160 + 164. Suppose -v*s + 2*k = -26, 2*k - 5*k = 4*s - 11. Solve -21 = s*o - 6 for o.
-3
Let b = 268 + -449. Let j = -181 - b. Solve 3*u + 3 + j = 0 for u.
-1
Let l = -911 + 918. Solve -1 = l*u - 1 for u.
0
Let q(n) be the second derivative of -5/6*n**3 + 0 - 17*n - 17/2*n**2. Let k be q(-5). Solve -3*m + k*m = -5 for m.
-1
Let q(k) = k**2 + 3*k + 2. Let j be q(-4). Let a = j + 2. Suppose 19*d - 8*d = 44. Solve -d*h + 2*h = a for h.
-4
Let a = 24 + 52. Suppose 0 = -14*v - 20 + a. Solve -15 - 1 = v*p for p.
-4
Suppose 4*z -
|
{
"pile_set_name": "DM Mathematics"
}
|
637?
-5*l**3 - 5*l**2 - 96*l + 6285
What is the c'th term of -5763, -22946, -51523, -91494, -142859, -205618, -279771?
-5697*c**2 - 92*c + 26
What is the q'th term of 332995, 667344, 1001693, 1336042, 1670391?
334349*q - 1354
What is the g'th term of 22110, 23377, 24654, 25947, 27262, 28605, 29982, 31399?
g**3 - g**2 + 1263*g + 20847
What is the d'th term of -457146796, -914293591, -1371440386, -1828587181, -2285733976, -2742880771?
-457146795*d - 1
What is the x'th term of -7220, -28254, -63296, -112346?
-7004*x**2 - 22*x - 194
What is the d'th term of 267903, 267923, 267957, 268005, 268067?
7*d**2 - d + 267897
What is the t'th term of -846642, -3386794, -7620454, -13547622, -21168298, -30482482, -41490174?
-846754*t**2 + 110*t + 2
What is the h'th term of 26026436, 52052877, 78079318, 104105759, 130132200?
26026441*h - 5
What is the t'th term of 11155, 19502, 27849, 36196?
8347*t + 2808
What is the v'th term of -29639967, -59279935, -88919903, -118559871, -148199839, -177839807?
-29639968*v + 1
What is the k'th term of 799111, 3196364, 7191785, 12785374, 19977131, 28767056, 39155149?
799084*k**2 + k + 26
What is the a'th term of 2526863, 2526870, 2526877, 2526884, 2526891, 2526898?
7*a + 2526856
What is the v'th term of 192507, 387194, 581881?
194687*v - 2180
What is the j'th term of -17945, -35361, -52779, -70199, -87621, -105045, -122471?
-j**2 - 17413*j - 531
What is the a'th term of 249113, 249094, 249083, 249080, 249085?
4*a**2 - 31*a + 249140
What is the n'th term of -4399, -5157, -5933, -6727?
-9*n**2 - 731*n - 3659
What is the g'th term of 638638, 1277766, 1916894?
639128*g - 490
What is the f'th term of 300626, 1202456, 2705488, 4809722, 7515158, 10821796, 14729636?
300601*f**2 + 27*f - 2
What is the k'th term of -1348, -7387, -23376, -54289, -105100, -180783?
-829*k**3 - k**2 - 233*k - 285
What is the i'th term of -227983, -227983, -227981, -227977, -227971, -227963, -227953?
i**2 - 3*i - 227981
What is the f'th term of -93943, -375748, -845431, -1502992, -2348431?
-93939*f**2 + 12*f - 16
What is the y'th term of 701, -121, -1483, -3385, -5827?
-270*y**2 - 12*y + 983
What is the g'th term of 1813707, 7254869, 16323473, 29019519, 45343007, 65293937?
1813721*g**2 - g - 13
What is the u'th term of 332082, 332039, 331980, 331905, 331814, 331707?
-8*u**2 - 19*u + 332109
What is the h'th term of 90430, 90272, 90116, 89962, 89810?
h**2 - 161*h + 90590
What is the o'th term of -316694564, -1266778264, -2850251098, -5067113066?
-316694567*o**2 + o + 2
What is the c'th term of 29835, 29778, 29721, 29664?
-57*c + 29892
What is the i'th term of -2673571, -2673585, -2673599, -2673613, -2673627, -2673641?
-14*i - 2673557
What is the u'th term of -661, -3182, -7383, -13264?
-840*u**2 - u + 180
What is the y'th term of -3884, -997, 3812, 10543, 19196, 29771, 42268?
961*y**2 + 4*y - 4849
What is the d'th term of 5881317, 5881274, 5881201, 5881098?
-15*d**2 + 2*d + 5881330
What is the g'th term of -27615760, -27615729, -27615708, -27615703, -27615720, -27615765, -27615844, -27615963?
-g**3 + g**2 + 35*g - 27615795
What is the o'th term of -4775200, -9550400, -14325600, -19100800?
-4775200*o
What is the i'th term of 129918, 131029, 132140, 133251, 134362?
1111*i + 128807
What is the y'th term of -166605, -333210, -499815, -666420?
-166605*y
What is the q'th term of 52688, 422212, 1425216, 3378440, 6598624, 11402508, 18106832, 27028336?
52790*q**3 - 6*q - 96
What is the q'th term of -4912806, -4912802, -4912798?
4*q - 4912810
What is the n'th term of 43708, 94595, 145482, 196369, 247256, 298143?
50887*n - 7179
What is the s'th term of 442431546, 442431545, 442431544, 442431543, 442431542, 442431541?
-s + 442431547
What is the m'th term of 68, 547, 1824, 4289, 8332, 14343, 22712?
65*m**3 + 9*m**2 - 3*m - 3
What is the t'th term of -81998, -81277, -80552, -79823, -79090?
2*t**2 + 715*t - 82715
What is the r'th term of 13235274, 13235275, 13235276, 13235277?
r + 13235273
What is the a'th term of 16197, 16175, 16115, 15999, 15809, 15527?
-3*a**3 - a**2 + 2*a + 16199
What is the x'th term of -9205, -18420, -27625, -36814, -45981, -55120, -64225?
x**3 - x**2 - 9219*x + 14
What is the j'th term of -296, -1546, -3838, -7694, -13636, -22186, -33866?
-87*j**3 + j**2 - 644*j + 434
What is the x'th term of -2158, -2178, -2192, -2194, -2178, -2138, -2068, -1962?
x**3 - 3*x**2 - 18*x - 2138
What is the q'th term of 82083364, 164166720, 246250076, 328333432, 410416788, 492500144?
82083356*q + 8
What is the g'th term of -9020842, -36083371, -81187592, -144333511, -225521134?
-g**3 - 9020840*g**2 - 2*g + 1
What is the t'th term of -365855, -365500, -365145, -364790?
355*t - 366210
What is the c'th term of -81122, -162104, -243086, -324068?
-80982*c - 140
What is the w'th term of -227019, -460377, -693735, -927093?
-233358*w + 6339
What is the o'th term of -14751, -59209, -133367, -237225, -370783, -534041?
-14850*o**2 + 92*o + 7
What is the y'th term of 2049066, 8196257, 18441574, 32785017?
2049063*y**2 + 2*y + 1
What is the d'th term of 116962499, 233924997, 350887495?
116962498*d + 1
What is the q'th term of -14405, -28939, -43561, -58271?
-44*q**2 - 14402*q + 41
What is the t'th term of 536801, 1073682, 1610623, 2147630, 2684709?
t**3 + 24*t**2 + 536802*t - 26
What is the r'th term of -39075, -78161, -117229, -156273, -195287, -234265, -273201, -312089?
r**3 + 3*r**2 - 39102*r + 23
What is the a'th term of -11377661, -11377659, -11377657, -11377655?
2*a - 11377663
What is the f'th term of -13949670, -27899340, -41849008, -55798674, -69748338, -83698000, -97647660?
f**2 - 13949673*f + 2
What is the n'th term of 408356, 408322, 408278, 408224, 408160, 408086, 408002?
-5*n**2 - 19*n + 408380
What is the g'th term of 325, 579, 705, 637, 309?
-11*g**3 + 2*g**2 + 325*g + 9
What is the d'th term of 1314081, 1313912, 1313743, 1313574, 1313405?
-169*d + 1314250
What is the b'th term of -3392576, -6785189, -10177802, -13570415, -16963028?
-3392613*b + 37
What is the o'th term of 271315, 1085313, 2441991, 4341349?
271340*o**2 - 22*o - 3
What is the h'th term of 407, 1646, 3701, 6572?
408*h**2 + 15*h - 16
What is the i'th term of -812, -1571, -2330, -3089?
-759*i - 53
What is the g'th term of 1327, 2819, 4485, 6325, 8339?
87*g**2 + 1231*g + 9
What is the d'th term of 25758027, 25758029, 25758031, 25758033, 25758035?
2*d + 25758025
What is the n'th term of -877639, -1755266, -2632893, -3510520, -4388147?
-877627*n - 12
What is the m'th term of 223576363, 447152724, 670729083, 894305440, 1117881795, 1341458148?
-m**2 + 223576364*m
What is the n'th term of -1198989, -1198991, -1198993, -1198995, -1198997?
-2*n - 1198987
What is the m'th term of 10426, 8503, 6578, 4651?
-m**2 - 1920*m + 12347
What is the p'th term of 723969, 1447936, 2171889, 2895828, 3619753, 4343664, 5067561?
-7*p**2 + 723988*p - 12
What is the g'th term of -1330592951, -2661185908, -3991778867, -5322371828, -6652964791, -7983557756?
-g**2 - 1330592954*g + 4
What is the q'th term of 78, 920, 3268, 7890, 15554, 27028, 43080?
128*q**3 - 15*q**2 - 9*q - 26
What is the c'th term of 630, 1161, 1492, 1521, 1146?
-17*c**3 + 2*c**2 + 644*c + 1
What is the f'th term of -53035, -106368, -159723, -213112, -266547, -320040, -373603?
-2*f**3 + f**2 - 53322*f + 288
What is the l'th term of -22340176, -44680353, -67020530?
-22340177*l + 1
What is the w'th term of 4872485, 19489992, 43852497, 77959994, 121812477, 175409940, 238752377?
-w**3 + 4872505*w**2 - w - 18
What is the x'th term of -2323305, -2323303, -2323301, -2323299, -2323297, -2323295?
2*x - 2323307
What is the h'th term of -3494, -6497, -8514, -9053, -7622, -3729, 3118?
82*h**3 + h**2 - 3580*h + 3
What is the i'th term of -115, 393, 1331, 2915, 5361, 8885?
36*i**3 - i**2 + 259*i - 409
What is the h'th term of 5230, 10428, 15626, 20824, 26022?
5198*h + 32
What is the g'th term of -15219, -42661, -88399, -152433, -234763?
-9148*g**2 + 2*g - 6073
What is the g'th term of 1883560, 1883536, 1883512?
-24*g + 1883584
What is the t'th term of -18447328, -18447389, -18447490, -18447631?
-20*t**2 - t - 18447307
What is the r'th term of 43, -539, -1767, -3641, -6161, -9327, -13139?
-323*r**2 + 387*r - 21
What is the d'th term of -9701, -9100, -8103, -6716, -4945, -2796?
|
{
"pile_set_name": "DM Mathematics"
}
|
- 10)).
12
Calculate -57 + (-7 - (-16 + 19 - 25)).
-42
67 + -44 + -8 + 3
18
Evaluate (-359 - (108 + -214)) + 135.
-118
What is the value of -123 + (93 - (179 - 121))?
-88
Calculate -23 + 102 + -117 + (41 - 9).
-6
Evaluate -77 - (-1 + 14 - (-509 + 524)) - 11.
-86
What is (46 - (84 + -54)) + -74?
-58
(3 - 0 - (-12 + 30 - 18)) + 71 + -116
-42
Calculate (1846 - 1847) + (1 - 35).
-35
Calculate (21 + -27 + (-3 - -1) + 1 - -9) + 10.
12
What is the value of 0 + 14 + -10 + -41 + -36 + 22?
-51
What is 0 - 0 - (-69 + 32 - (-41 - -8)) - -12?
16
What is 1 - -25 - (-8 - -13 - (-10 + -2 + 4))?
13
11 - (1 + -7) - (-110 + 159)
-32
What is the value of (8 - (24 + (-11 - -21))) + -13?
-39
Evaluate -22 + -1 + (48 - -11) - 22.
14
Calculate 4 - (-184 + 191 - (-13 - -3)).
-13
Calculate 28 - (-59 + (104 - 3)).
-14
What is -204 + 218 + -36 + -38?
-60
-6 + (-4 - (19 - 42 - -6))
7
What is the value of (9 + (-1 - 3) - 1 - 0 - -60) + -7?
57
What is -14 - ((2 - 12 - -1) + 5)?
-10
106 + -47 + -19 + -2
38
What is the value of 32 - (0 + -1) - (37 - 152 - -127)?
21
Evaluate 120 + (-63 - 115) - (-24 - -1).
-35
What is the value of -48 + 44 + 96 - 35?
57
38 + 115 + -200 + -42
-89
0 + -101 + 71 + (10 + 51 - 119)
-88
Evaluate -17 + -11 - 20 - (-19 + -3).
-26
Calculate 60 - (144 + -5 + -36).
-43
Calculate 3 + (0 - 64) + (-11 - (-90 + 67)).
-49
Evaluate 104 + -111 + 15 + -1 - ((-3 - -101) + -6).
-85
Evaluate 104 - -7 - (113 + -36 + -40).
74
Calculate (-15 - -1) + 1 - (231 - (202 + 30)).
-12
Calculate (-27 - -95) + (-39 - -5).
34
Evaluate 22 - (39 + 9 - 70).
44
Calculate -2 + -146 + -137 + 216.
-69
Calculate (0 + 2 - 25) + (-4802 - -4878).
53
56 - (67 - 4) - (1 - (5 - 3 - -1))
-5
-72 - 13 - (-47 + 29) - (-2 - -11 - -2)
-78
73 + -52 + (6 - 12 - -31)
46
Calculate -34 - (4 + 7 + -16 + 10 + -17).
-22
What is the value of -37 - (-2 + -1 - (-57 - -65 - 3))?
-29
What is 12 - ((38 - (15 + -9)) + 1 + 11 + 0)?
-32
What is the value of (-97 + -12 + -12 - 10 - -8 - 4) + 3?
-124
What is the value of -13 + -4 + (5 - 33) + 20 + (-2 - -10)?
-17
Calculate -1 + -4 + -77 + (-109 - -171) + -69.
-89
What is 15 - ((-2027 - -2129) + 1 + -29)?
-59
Evaluate (-34 - (7 + 11 + -50)) + 18 + (-1 - 0).
15
-68 - (10 - 11) - (16 - (27 - -3))
-53
Calculate -25 - (1 + 11 + -247 + 257).
-47
What is (-12 + (-2 - -12) - (5 + -4 - 16)) + -10?
3
What is the value of 6 + (2 - 1) + (-585 - -576) + (-42 - -5)?
-39
Evaluate 36 + -64 + 9 + -22 - (1 + 6).
-48
Evaluate (2 - -19) + (4 - 9) + 39 - -2.
57
Evaluate 67 - 0 - (3 + -4) - ((-310 - -190) + 125).
63
What is 33 + -99 + 56 + 4 + 0?
-6
Calculate -35 + (0 - 2) + 1898 + -1866 + (-27 - -1).
-31
What is 0 + -35 - (-87 + 293 + -174)?
-67
12 + -2 + 1 - ((17 - (8 - -2)) + -9)
13
What is the value of (43 - (-16 - 18)) + -12 - (2 - 3 - -4)?
62
What is (-2 + 1 - 9) + (-57 - -70 - -14)?
17
(0 - 26) + 98 + -252 + 108
-72
What is -17872 - -17868 - (-1 - (1 - 1))?
-3
Calculate 20 + -1 + 14 + 19 + -43 + 4.
13
Calculate 201 + -124 + (-49 - 8).
20
Evaluate 17 + 100 - (733 - 668).
52
(20 - 7) + 7 + (172 - 139)
53
69 + 14 - 34 - (1 - 34)
82
What is the value of 40 + -36 - 10 - ((-1 - -3) + 0 - 63)?
55
What is the value of (-7 - 0 - 16) + 6 - (34 + -33)?
-18
Calculate (-1 - 0) + 17 + 329 + -647 + 268.
-34
(150 - 110) + (-4 - (3 - 4))
37
What is the value of 0 + -5 + (-109 - -104) - 24?
-34
What is the value of -508 + 517 + (-113 - (5 + -7 + 4) - 0)?
-106
-228 + 212 - (-1 - (6 - 18))
-27
2 + -3 + -34 - (144 - 68 - 76)
-35
Evaluate (73 + (-53 - 15) - ((2 - 4) + -6)) + -30.
-17
Evaluate 27 - ((-192 - -110) + 10).
99
What is the value of -29 + -4 + -194 + 43 + 152?
-32
What is the value of 94 - 282 - -163 - (0 - (0 + -1))?
-26
-8 + (-4 - (-10 - 19)) + (5 - 2)
20
What is 152 + 11 + -10 + -1 - (28 + 32 + -66)?
158
What is the value of 3 + -43 - 90 - -238?
108
What is the value of -1 + (3 - 0) - (22 - (25 + -32) - 89)?
62
Evaluate 77 + -170 - (-3 - (18 - 13)).
-85
What is the value of (-27471 - -27544) + (3 + (-3 - -3) - 22)?
54
What is -159 + 336 + -185 - (0 + -28)?
20
Evaluate -1 - (0 - (-2 + 39)).
36
What is (-34 - -145) + -84 + 36?
63
What is -112 + -1 + 0 - (181 + (190 - 361))?
-123
Evaluate 52 + -51 + (-72 - (8 - (-7 - -23))).
-63
172 - 102 - (26 - 6) - 37
13
Calculate 0 + (1 - 8 - (-10 + 3)) + 92 + -98.
-6
What is -1 + 6 + 63 + (-70 - -36) + 20?
54
What is -2 - (-122 + 34) - 51?
35
What is the value of (-6 - (-186 - -64)) + -65?
51
9 - (16 + 0 + 10) - (-7 + (30 - 14))
-26
Evaluate 1 + 76 - ((-16 - -10) + (9 - (-14 - -9))).
69
-4 - -2 - (1584 - 1652)
66
Evaluate -14 - ((-18 - -24) + 1 - -28).
-49
-20 - (26 + -68) - (2 + -69)
89
Evaluate ((-7 - (2 + -4)) + -9 - -38) + -1.
23
What is the value of 6 - (-17 + 32 + (8 + -44 - 2))?
29
What is 60 - (-89 - (-145 - -2))?
6
What is 57 + -66 - (-16 - -16 - 3)?
-6
Evaluate 40 - (3 - (-8 + 10)) - (153 - 163).
49
Evaluate 21 + (-10 - (14 + 25)).
-28
What is -7 + (13 - (46 - 14)) + 16 + 13?
3
What is 38 - -5 - (-19 - (30 - 20))?
72
What is -4 + (112 - 63 - 40)?
5
Evaluate (13 - 35) + (17 - 2) + 101 + -4 + 14.
104
Calculate 4314 + -4274 - ((2 - -39) + 1).
-2
What is 81 + (-47 + 95 - 79)?
50
Calculate 34 + (0 + 4 - (4 + 8 - 20)).
46
(40 + -16 - (-22 + 28 - 16)) + (-10 - -1)
25
-5 - -1 - (-17 + 27 - (3 - (12 + -86)))
63
What is the value of 14 - -31 - (14 + (-22 - -15))?
38
Evaluate (-1 - -12 - (-9 + (-18 - 0))) + 5.
43
What is the value of 3 + (8 - (72 - 44)) + 17?
0
What is (-42 - -28) + -134 + 128?
-20
-428 - -400 - (1 + -1 + 19)
-47
What is the value of (1 - -10) + (1245 - 1210) - (-16 + 1)?
61
-7 + -1 - (53 + 44 + 45 + -70)
-80
Evaluate -19 - (-41 + (44 - -2)).
-24
Evaluate (0 - 2) + 133 + -128 - -13 - 29.
-13
(1 - -27 - (36 + -29 - 9)) + (10 - 1)
39
What is the value of 35 + -59 + 24 + -37 + -5?
-42
8 + (39 - 8) + (1 - 0 - 4 - 9)
27
Evaluate 10 - (31 + -2 + -15 - -93).
-97
What is -60 - (-6 + -1 - (3 + 25 - 33))?
-58
What is -36 + 0 - (-250 + 227)?
-13
2 - 34 - (175 - 247)
40
Evaluate 31 - -12 - 13 - (-11 + 0 + -2 + 4).
39
What is the value of 24 + (-1 - 1) - (1118 - 1109) - -23?
36
Evaluate 2 + (80 + 16 - 49).
49
Calculate (-25 - -2) + (-1485 - -1529).
21
1 + -11 + (2 - -25) + 492 + -520
-11
Evaluate 10 + 6 + -26 + 43.
33
What is the value of -16 + (-2 + -3 - -7 - (-1 + (0 - -3)))?
-16
What is (4 + -6 + 12 - 12) + (-1 - 2) - 53?
-58
What is the value of (17 - 1) + 27 - 10?
33
Calculate -13 + 29 + -2 - 85.
-71
Evaluate -33 + (-62 - -77) + -48.
-66
(-8 - (-22 + -4)) + (-2 - (-22 - -4))
34
21 - (-16 - (-7 + 39 + -35))
34
-81 + (-2 - -1) - ((64 - 22) + -48)
-76
What is the value of -8 + (-6 - 1 - -13) + -11 + -18?
-31
What is the value of (-18 - (-6 + 1)) + (-49 - (-27 + 8))?
-43
Evaluate -80 + 9 + 4 + (-6 - (-1 - -7)).
-79
Evaluate 22 + (-15 - 4 - 14) - (-3 + 50).
-58
Evaluate -4 + 79 + -22 + 12 + 22 + 2 + -1.
88
Calculate 74 - 166 - -128 - 87.
-51
Calculate -53 + 13 + -34 + 37.
-37
What is the value of 8 + -8 - (-6 + -13 - 5)?
24
-22 + (-11 - (-11 - -27)) + 0
-49
(4 - (28 - (-1 + 12))) + 80
67
(-31 - (-49 - -20)) + (-7 - -14) + -5
0
What is the value of (1 + 15 - 8) + (-27 - (-11 + 8))?
-16
What is the value of -4 + 0 - (-43 - -69) - (-2 - -3) - 6?
-37
1854 + -1845 - (-3 - (-18 - 0))
-6
Calculate (3 - 1) + 1 - 1 - (-740 + 776).
-34
What is the value of (75 - 53) + -18 + -1 + -88?
-85
Evaluate -347 + 352 - (1 - 37).
41
Calculate 8 + (0 + 0 + -131 + 119 - -11).
7
Calculate (15 - (-8 + 17)) + 13 - 47.
-28
What is (10 + -1 + 11 - -6 - (6 + 3)) + 0?
17
Evaluate -1 + 28 + -21 + -12 + -7.
-13
-153 + -68 + 43 + 138
-40
Calculate -114 - (-46 - 3) - -37.
-28
Calculate (-101 - (4 + -52) - 9) + (-1 - 7).
-70
What is 14 + -7 + 18 - (33 - -56)?
-64
Evaluate 6 + -19 + 4 + -1 + (56 - 1).
45
What is the value of -86 + 65 + 51 + -7 + -6?
17
Evaluate -8 - (3 + -4) - (3 - 2 - (49 + -23)).
18
Calculate 79 + -139 + 173 + -23.
90
What is 3 + -18 + 5 + (8 - 4) + (10 - 52)?
-48
What is the value of (-102 - (43 + -132)) + (61 - -1)?
49
Calculate (-6 - -16) + -9 + -15 + 30.
16
Calculate 9 - -41 - (-55 + 16 + 29 + 22).
38
Evaluate 119 + -64 + (8 + -10 + 1 - 21).
33
5 + 18 + (-6 - 0) + -22 + 18 + -66
-53
Calculate ((-80 - 9) + 2 - (-68 - -51)) + 4.
-66
What is 48 + -1 + -51 + 46 - (-1 - 0 - -3)?
40
What is 19 - 1 - (4 - 2) - (8284 - 8238)?
-30
(-11 - -13 - -6) + (-28 - (37 - 55))
-2
|
{
"pile_set_name": "DM Mathematics"
}
|
5*g + 192 = -r + 5*r. Let u = g - -54. What is the remainder when 25 is divided by u?
11
Suppose 96*b - 97*b = -2413. Calculate the remainder when b is divided by 23.
21
Let q be 2/6 - (-12)/(-36). Suppose 2*k - 54 - 76 = q. Suppose -3*u + k = 5*g, 5*g = -4*u + 28 + 42. What is the remainder when 16 is divided by g?
6
Let i(q) = 17 + 2*q - 2*q**2 - 5*q**2 + 6*q**2. Let l = -64 - -95. Calculate the remainder when l is divided by i(0).
14
Let d = 45 + -29. Let h = d + -16. Calculate the remainder when (-1 - -4)/(h - -1) is divided by 3.
0
Let v(c) = -c**3 - 15*c**2 + 18*c + 32. Let f be v(-16). Suppose i + 7*i - 192 = f. What is the remainder when 95 is divided by i?
23
Suppose -8*z + 9*z = -2. Let o be -2 + (z - -8) + -3. What is the remainder when (-118)/(o/(3/(-6))) is divided by 16?
11
Let q(x) = x**3 + 7*x**2 + 3*x - 8. Let h be q(-6). Let o be (1 + 1 + -3)*(-21 - 2). Let p = o - h. What is the remainder when 50 is divided by p?
11
Let g(u) = 14*u**3 - 6*u**2 + 4*u + 5. Calculate the remainder when g(2) is divided by 3.
2
Suppose -74 = 4*a - 234. Suppose -40*w + 36*w = -a. Calculate the remainder when 26 is divided by w.
6
Suppose 25*t - 14760 = -35*t. Calculate the remainder when t is divided by 19.
18
Let h be 1 - (5 - (3 + 1)). Suppose -r + 12 = -2*b, h = -5*b + 4*b. What is the remainder when 34 is divided by r?
10
Suppose -3*f - 2*u + 24 = 0, f - 21 = 5*u + 4. What is the remainder when f is divided by 4?
2
Let j(q) = 19*q - 31. Let r(h) = 2*h + 3. What is the remainder when j(3) is divided by r(3)?
8
Suppose -4*z + 0*z + 10 = -2*l, 19 = 5*z + 4*l. Suppose 140 = z*n + n. What is the remainder when 137 is divided by n?
32
Let s(l) be the second derivative of l**5/20 + 5*l**4/12 - l**2/2 + 2*l. Let f(h) = -11*h + 542. What is the remainder when f(44) is divided by s(-4)?
13
What is the remainder when 164 is divided by (-206)/(-14) - (-2)/77*11?
14
Suppose 79 = -5*p - 5*c + 3*c, 5*p = -5*c - 85. Calculate the remainder when 10 is divided by (12/p)/(2/(-10)).
2
What is the remainder when ((-5500)/9)/(-5) - (-8)/(-36) is divided by 44?
34
Let a(m) be the second derivative of m**3/3 - 5*m**2/2 - m. Let n be a(0). Let p = n - -35. Calculate the remainder when p is divided by 11.
8
Let l(h) = -27*h + 1. Let t be l(2). Let c = t + 70. Suppose -2*a + a = -10. What is the remainder when c is divided by a?
7
Let r = 73 + -5. Let g = -50 + r. What is the remainder when 33 is divided by g?
15
Suppose -879*p = -872*p - 427. Calculate the remainder when p is divided by 19.
4
Let u be (36/16)/((-6)/16). Suppose 22*z = 21*z, 2*z - 70 = -2*s. What is the remainder when s is divided by 6/9 - 104/u?
17
Let r = -23 - -64. Suppose 3*z + 23 = -1. What is the remainder when r is divided by (-114)/z - (-2)/(-8)?
13
Let b(h) = -h**3 + 6*h**2 + 22*h - 26. What is the remainder when 314 is divided by b(7)?
77
Suppose 85 = 2*g - 5*j - 22, 89 = 2*g + j. What is the remainder when 412 is divided by g?
44
Let y = 1910 + -1852. What is the remainder when 168 is divided by y?
52
Suppose -v - 31 = -4*c, 0 = -3*c + 6*v - 3*v + 21. Let p(k) = 18*k - 5. Calculate the remainder when p(2) is divided by c.
7
Suppose -6*m + m + 2*b = -32, 4*m + 5*b = 52. Suppose 6 = -0*t + 2*t. Suppose -3*r = 3*l - 12, 6*l = t*l + r + m. What is the remainder when 8 is divided by l?
2
Let r be (-9)/(-15) + (-46)/10. Let q = r + 13. What is the remainder when 32 is divided by q?
5
Let q(a) = -a**3 + 7*a**2 + 56. Calculate the remainder when q(6) is divided by 39.
14
Suppose -2*t - 20 = -l, 0 = l - 6*l + 5*t + 105. What is the remainder when 85 is divided by l?
19
Suppose 0*w = -5*w + 15. Suppose -2*i - o + 10 = 0, -2 = 2*i + w*o - 12. Suppose i - 75 = -5*h. What is the remainder when 27 is divided by h?
13
Let o(q) = q**2. Let f(m) = 7*m + 45. Calculate the remainder when o(-3) is divided by f(-6).
0
Let s(w) = w**2 - 9*w - 8. Let b be s(10). Suppose p + b*p + 4*a - 179 = 0, -116 = -2*p - a. What is the remainder when p is divided by 20?
17
Let n(g) = 2*g + 33. Calculate the remainder when ((-6)/(-10) + -1)*-50 is divided by n(-11).
9
Let k = -8 - -23. What is the remainder when k is divided by (-12)/(-84) + 54/14?
3
Suppose 3*f + 2*c = 6, 2*f + 8 = 2*c + 2. Let l be 2 + -2 - (f + 190). What is the remainder when 17 is divided by (-2)/(-8) - l/40?
2
What is the remainder when (232/(-203))/((-2)/322) is divided by 49?
37
Calculate the remainder when ((-3960)/42)/((-3)/21) is divided by 17.
14
Let t = 1036 + -1007. Calculate the remainder when 259 is divided by t.
27
Let a = -1 - -11. Let v be 14/49 + 514/14. Suppose v = 2*l - o, -o + 78 = 4*l + o. Calculate the remainder when l is divided by a.
9
Suppose 0 = 5*g + 3*z - 189, 4*g - 2*z = 5*g - 42. What is the remainder when 287 is divided by g?
35
Let s(a) = a**2 + 5*a - 18. Let t be s(-8). Suppose t = 6*u - 48. Let q = 4 + 13. What is the remainder when q is divided by u?
8
Let g(w) = 97*w**3 + w**2 + w - 1. Let r = 16456 - 16439. What is the remainder when g(1) is divided by r?
13
Let n(i) be the third derivative of i**5/15 - i**4/8 - 3*i**3/2 - 6*i**2. Calculate the remainder when n(5) is divided by 26.
24
Suppose -745 = -2*m + 285. Suppose 79 = 9*b - m. What is the remainder when b is divided by 17?
15
Let q = -847 + 909. What is the remainder when 288 is divided by q?
40
Let z(i) = 2*i**2 + 4*i + 3. Let g be z(-2). Suppose -g*s + 220 = 2*s. Calculate the remainder when s is divided by (-4635)/(-1030)*(-16)/(-6).
8
Let t(y) = -y**2 + 20*y - 73. What is the remainder when 240 is divided by t(6)?
9
Let s = -178 + 239. Calculate the remainder when s is divided by 22.
17
Let p = 192 + 2. Calculate the remainder when p is divided by 66.
62
Let l be 4/(-5)*10/(-4). Suppose 5*s + 2 + 0 = -2*g, l*g = 3*s + 30. What is the remainder when 33 is divided by g?
6
Suppose -4*v = -l - 2*v + 21, 4*l = -3*v + 106. Calculate the remainder when l is divided by (-68)/(-1122) - (-361)/33.
3
Let x(u) = 2*u**2 + 3*u + 7. What is the remainder when x(5) is divided by 61?
11
Let n = -15 + 128. Let t = 3642 + -3603. What is the remainder when n is divided by t?
35
Let o(h) = h**2 - 1. Let b(w) = -6*w**2 + 4*w + 38. Let v(j) = b(j) + 5*o(j). Calculate the remainder when v(0) is divided by 18.
15
Suppose -u + 52 = 5*f - 21, -257 = -5*u + 2*f. Let y = u + -12. What is the remainder when y is divided by 24?
17
Suppose 5*w = 4*z + 1310, -67*z + 278 = w - 71*z. Calculate the remainder when w is divided by 49.
13
Let l = 143 + -112. Calculate the remainder when 493 is divided by l.
28
Let y(t) = 363*t + 1840. Suppose -4*g + 13 = -3*g. Calculate the remainder when y(-5) is divided by g.
12
Suppose 11*c - 557 = -62. What is the remainder when 226 is divided by c?
1
Let u = 349 - 317. Calculate the remainder when 111 is divided by u.
15
Let l(m) = 4*m - 3*m - m**2 + 2*m**2 + m**2. Let v be l(-1). Calculate the remainder when 24 is divided by (-8)/3*-3 + v.
6
Let g = -13280 + 13287. What is the remainder when 2 + -38*(-2 + 1) is divided by g?
5
Let k be 17/((-4)/8 - -1). Suppose -5*h + 9 + 51 = 5*m, 0 = 2*h - 3*m - k. What is the remainder when 50 is divided by h?
8
Let n(v) = 55*v - 4. Let l(w) = -w**3 - 2*w**2 + 4*w + 4. Let p be l(-3). What is the remainder when n(p) is divided by 8?
3
Calculate the remainder when ((-9)/(-4))/(63/252) is divided by 9.
0
Let z(s) = -s - 14. Let y be z(-7). Let h(x) = x**3 + 6*x**2 - 9*x + 1. Let p = 26 - 22. What is the remainder when h(y) is divided by p?
3
Let t(b) be the third derivative of 49*b**5/60 - b**4/8 + b**3/3 + 16*b**2. Calculate the remainder when t(1) is divided by 19.
10
Let o be 1 + 1 + 1 + 1. Suppose 2*v = 3*u - 102, -4*v - 88 = -4*u + 44. Suppose -l = -4, 5*a - u = 5*l + o. What is the remainder when 46 is divided by a?
10
Let v = 63 + -81. Let y be 178/(-4*2/(-12)). What is the remainder when 3*-2*y/v is divided by 23?
20
Let m(w) = -w**2 + 12*w - 23. Let f be m(10). What is the remainder when 0 + 0 - (-114 + -1) is divided by (-26)/(f + 2) - -3?
28
Suppose 11 - 1 = 2*c. Suppose -h + 5*v - v + 10 = 0, -3*h + 5*v = c. Let p = h + 39. What is the remainder when p is divided by 16?
13
Let f(b) = -3*b + 12. Let o be f(9). Let t = 22 + o. What is the remainder when 41 is divided by t?
6
Let a = -823 - -1675. Calculate the r
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4 = 0. What is n?
-1, -1/4, 1/3, 1
Let u = 464 - 464. Let u*c + 2/3 + 1/6*c**3 - 1/2*c**2 = 0. What is c?
-1, 2
Let c be (-2 + 3)*(-2 - -11). Solve -4*p + 3*p**3 + p + 15*p**2 + c*p**3 - 6*p**2 = 0.
-1, 0, 1/4
Let n(m) be the second derivative of m**6/45 + m**5/20 - m**4/18 - 12*m. Suppose n(p) = 0. What is p?
-2, 0, 1/2
Find g, given that -12/7*g**4 - 9/7*g**3 + 18/7 + 36/7*g**2 + 51/7*g = 0.
-1, -3/4, 2
Let g(s) be the first derivative of -3*s**5/50 + s**4/20 + s**3/5 - 3*s**2/10 - s - 3. Let p(t) be the first derivative of g(t). Determine m so that p(m) = 0.
-1, 1/2, 1
Let o be (-2 - -1)/(4/(-20)). Solve 8*c**3 - c**o - c**4 - 8*c**3 = 0 for c.
-1, 0
Let w(f) be the third derivative of f**5/15 - f**4/6 + 8*f**2. Factor w(b).
4*b*(b - 1)
Suppose 2*y = 4*i - 6, 2*i = -y + 2 + 11. Suppose -i*a = a. Determine s, given that 0 - 2/3*s**3 + 2/3*s**4 - 4/3*s**2 + a*s = 0.
-1, 0, 2
Factor -1/3*c - 1/3*c**2 + 2.
-(c - 2)*(c + 3)/3
Let p(w) be the first derivative of -w**6/1080 + w**5/90 + 5*w**3/3 + 8. Let x(h) be the third derivative of p(h). What is t in x(t) = 0?
0, 4
Let a(k) = -k**2 + 8*k + 1. Let t be a(7). Let p be 11/3 - t/12. Factor -1/3*r - 1/3*r**4 + 1/3*r**p + 1/3*r**2 + 0.
-r*(r - 1)**2*(r + 1)/3
Let x(a) be the first derivative of 7 + 12/7*a - 15/2*a**4 - 6*a**2 + 69/7*a**3 + 15/7*a**5. Suppose x(u) = 0. Calculate u.
2/5, 1
Let s(x) = x**3 + 6*x**2 + 3*x - 7. Let q be s(-5). Let n(w) be the first derivative of 5/12*w**q + 2 - w**2 - 1/16*w**4 + w. Solve n(z) = 0 for z.
1, 2
Let r be 5*(2/(-6) - 8/(-6)). Let h(j) be the first derivative of -1/4*j**2 - 1/10*j**r + 0*j - 3/8*j**4 - 1/2*j**3 - 3. Factor h(d).
-d*(d + 1)**3/2
Let r(a) be the third derivative of a**5/60 + a**4/8 + a**3/3 - a**2. Let r(n) = 0. Calculate n.
-2, -1
What is g in 4/5*g - 1/5*g**2 - 4/5 = 0?
2
Let h(n) be the second derivative of 0*n**2 + 3/2*n**3 + 3/20*n**5 + 0 - 7*n - n**4. Find o, given that h(o) = 0.
0, 1, 3
Let p(c) be the third derivative of c**9/211680 - c**8/23520 + c**7/5880 - c**6/2520 + c**5/12 + 5*c**2. Let s(y) be the third derivative of p(y). Factor s(m).
2*(m - 1)**3/7
Let m be 1 - ((5/(-15) - -3) + -2). Let d(k) be the second derivative of 0 - m*k**3 + 0*k**2 - 2*k + 1/6*k**4. Factor d(b).
2*b*(b - 1)
Factor -5*g**3 - 3192 + 5*g + 3192.
-5*g*(g - 1)*(g + 1)
Suppose -3*h = -o - 9, -7*h + 3*h + 3*o + 17 = 0. Let f(s) be the first derivative of -4/3*s - 1/15*s**5 - 13/9*s**3 - 1/2*s**4 + 3 - 2*s**h. Factor f(z).
-(z + 1)**2*(z + 2)**2/3
Suppose 4*p + 16 = 0, 2*f - 5*f + 12 = -3*p. Factor -2/3*h**3 + f - 1/3*h**2 + 1/3*h**4 + 2/3*h.
h*(h - 2)*(h - 1)*(h + 1)/3
Let h(u) be the second derivative of -u**6/120 + u**5/10 - 3*u**4/8 - u**3/3 - 3*u. Let q(v) be the second derivative of h(v). Find d, given that q(d) = 0.
1, 3
Let d be (-2)/7 + (-120)/(-28). Let w(z) be the first derivative of 5*z**2 - z - 133/12*z**3 + 2 + 147/16*z**d. Factor w(n).
(3*n - 1)*(7*n - 2)**2/4
Let s(q) be the first derivative of q**4/16 - q**3/3 + 3*q**2/8 - 17. Factor s(l).
l*(l - 3)*(l - 1)/4
Let m be 9 - 4/(216/474). Factor 0*f**2 + 0 - m*f + 2/9*f**3.
2*f*(f - 1)*(f + 1)/9
Suppose -n = -3*n + 6. Let q(j) be the second derivative of 0 + n*j - 1/10*j**5 + 0*j**2 - 1/3*j**4 - 1/3*j**3. Factor q(z).
-2*z*(z + 1)**2
Let b(z) be the first derivative of z**5/70 + z**4/42 - z**3/21 - z**2/7 - 3*z + 4. Let q(y) be the first derivative of b(y). Solve q(u) = 0.
-1, 1
Let v(b) = 2*b - 7. Let y be v(4). Let h(x) be the first derivative of 1/2*x + 1/8*x**4 - 1/4*x**2 - 1/6*x**3 - y. Factor h(m).
(m - 1)**2*(m + 1)/2
Let s(f) be the third derivative of 1/360*f**5 + 0 + 1/9*f**3 + 0*f + 1/36*f**4 - 3*f**2. Factor s(w).
(w + 2)**2/6
Let l(r) be the third derivative of -r**9/181440 + r**7/15120 - r**5/60 + 2*r**2. Let s(g) be the third derivative of l(g). Determine m, given that s(m) = 0.
-1, 0, 1
Let h(k) = -k**3 - k + 5. Let t be h(0). Let s = -3 + t. Suppose 3 + 0*g + 2*g**s - 4 - 6*g + 5 = 0. Calculate g.
1, 2
Determine h, given that 0*h**2 - 1/8*h**3 + 0*h - 1/8*h**5 - 1/4*h**4 + 0 = 0.
-1, 0
Let f be 32/(-18) + 2 + 4/(-18). Suppose f - 2/3*h**2 - 2/3*h = 0. Calculate h.
-1, 0
Find g, given that -81*g - 27 + 12*g**4 - 35*g**3 - 4*g**4 - 4*g**4 + 99*g**2 + 0*g**4 = 0.
-1/4, 3
Let h = 44 + -44. Factor -2/5*a**2 - 18/5*a**3 + h + 4/5*a - 2*a**5 + 26/5*a**4.
-2*a*(a - 1)**3*(5*a + 2)/5
Let y(u) be the first derivative of -3*u**4/4 - 2*u**3 - 3*u**2/2 - 9. Solve y(n) = 0 for n.
-1, 0
Suppose 48/19*o + 22/19*o**2 + 2/19*o**3 - 72/19 = 0. What is o?
-6, 1
Let k be (-12)/24 + -1 + 2. Factor -1/2*u**2 + 1 + k*u.
-(u - 2)*(u + 1)/2
Suppose 19 = 5*c - 36. Let t = -7 + c. Determine o, given that 0*o**2 - 4/3*o**3 - 2/3 + 4/3*o + 2/3*o**t = 0.
-1, 1
Let n be 165/(-60) - (-2)/(-8). Let c be n - 50*(-3)/42. Solve 0 - 2*r**2 - c*r - 10/7*r**3 = 0.
-1, -2/5, 0
Let k = 72883949/346490970 - -5/359058. Let t = -2/193 + k. Find j, given that t*j + 1/5*j**3 + 2/5*j**2 + 0 = 0.
-1, 0
Let y(f) be the first derivative of -f**6/1620 + f**3 - 4. Let p(l) be the third derivative of y(l). Factor p(w).
-2*w**2/9
Let o = 26 + 23. Let r be (o/(-1))/(1/(-4)). Solve -r*p**3 - 16/5 - 672/5*p**2 - 176/5*p - 343/5*p**4 = 0.
-2, -2/7
Let b(m) = 13*m**2 + m - 13 - 7*m + 18*m**3 - 3*m**3 + 4*m. Let j(k) = 7*k**3 + 6*k**2 - k - 6. Let y(o) = 6*b(o) - 13*j(o). Factor y(t).
-t*(t - 1)*(t + 1)
Suppose -10 = -18*t + 16*t. Suppose t*x - 21 = -3*s, -5*x - 3*s + 23 = s. Suppose 2/3 - 5/3*q - 1/3*q**x + 4/3*q**2 = 0. Calculate q.
1, 2
Factor 0*w**4 - w**2 + 0*w**4 - 6*w**3 - w**4 - 7*w**2.
-w**2*(w + 2)*(w + 4)
Let z(o) be the first derivative of -4*o**5/5 - 2*o**4 + 16*o**3/3 + 4*o**2 - 12*o + 11. Find b, given that z(b) = 0.
-3, -1, 1
Let l(m) be the first derivative of -m**5/300 + m**4/60 - m**3/30 - m**2 - 7. Let g(y) be the second derivative of l(y). Factor g(r).
-(r - 1)**2/5
Let f(q) be the second derivative of -q**8/1680 - q**7/1260 - q**4/12 - 5*q. Let b(v) be the third derivative of f(v). Solve b(k) = 0 for k.
-1/2, 0
Suppose -6 = 4*d - 6*d. Suppose 5*g - 4 = d*g. Factor -3/5*h**g + 2/5*h**4 - 1/5*h**3 + 1/5*h + 1/5.
(h - 1)**2*(h + 1)*(2*h + 1)/5
Let m(x) be the second derivative of x**5/10 + 5*x**4/6 + 8*x**3/3 + 4*x**2 + 5*x. Factor m(q).
2*(q + 1)*(q + 2)**2
Let u(m) be the first derivative of m**6/720 - m**5/180 - m**4/36 + 2*m**3/9 + 5*m**2/2 - 4. Let h(n) be the second derivative of u(n). Factor h(b).
(b - 2)**2*(b + 2)/6
Let v = -3699/4 + 925. Suppose 0 = -0*w + 3*w. Solve v + w*k - 1/4*k**2 = 0 for k.
-1, 1
Suppose -12 = -3*b - l - 1, -4*l - 4 = 0. Let m(q) = -12*q**2 + 12*q + 4. Let y(n) = 12*n**2 - 11*n - 3. Let d(c) = b*m(c) + 5*y(c). Factor d(x).
(3*x - 1)*(4*x - 1)
Let i = 44/75 - 2419/75. Let n = -31 - i. Factor 0 + n*d + 2/3*d**2.
2*d*(d + 1)/3
Let g(a) = -3*a**2 - 4*a + 5. Let q = 11 - 14. Let b(u) = 2*u**2 + 2*u - 3. Let c(m) = q*g(m) - 5*b(m). Factor c(z).
-z*(z - 2)
Let n be 2*(5/20 - (-15)/20). Factor -7/5*t**n + 2/5*t + 0.
-t*(7*t - 2)/5
Let a(r) be the third derivative of -2*r**7/35 + r**6/40 + 7*r**5/20 - r**4/8 - 3*r**3/2 - 12*r**2. Suppose a(x) = 0. What is x?
-1, -3/4, 1
Let i = 667/5 - 133. Factor i + 2/5*u**2 - 4/5*u.
2*(u - 1)**2/5
Let l(g) = g + 9. Suppose -q - 4 = -j + 3, -3*j - 21 = 3*q. Let b be l(q). Determine h so that -2*h**2 - 3*h**2 - 2*h + 7*h**b - 2 + 2*h**3 = 0.
-1, 1
Let p(q) be the first derivative of 5 + 3/5*q**4 + 2/5*q**2 + 4/5*q**3 + 0*q + 4/25*q**5. Factor p(n).
4*n*(n + 1)**3/5
Let y be (-3 - 48/(-14))*(-8)/(-12). Let -y + 0*j + 2/7*j**2 = 0. What is j?
-1, 1
Let c be (-4 - 2)/((-6)/9). Suppose 0 = 4*v + q - 5, 3*v = 5*q - 4*q + c. Factor 0 + 2*d**3 - 2 + v - 2*d**2.
2*d**2*(d - 1)
Let p be 85*1 - (-9 + 12). Let o = p - 402/5. Factor -16/5*y - 2*y**2 - o - 2/5*y**3.
-2*(y + 1)*(y + 2)**2/5
Let m(k) = 7*k**2 + 3*k + 2. Let n be m(-1). Suppose 7*i = n*i + 5. Factor 0*s**2 - 1/3*s**i + 0*s + 0*s**3 - 2/3*s**4 + 0.
-s**4*(s + 2)/3
Let r = 12/155 - -10/31. Factor 0*c - 2/5 + r*c**2.
2*(c - 1)*(c + 1)/5
Suppose -3*s = 12 - 33. Let f be -2 + 1 + s/5. Solve 2/5*i**3 - f*i**2 + 0 - 2/5*i + 2/5*i**4 = 0 for i.
-1, 0, 1
Let p(d) = d**2 + 6*d + 7. Let q be p(-5). Factor -s - 3*s - 3*s**3 + 6*s**q + 3*s - 2*s.
-3*s*(s - 1)**2
Factor -10/7*t + 8/7*t**2 + 4/7 - 2/7*t**3.
-2*(t - 2)*(t -
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is -c3 + -3c8?
-4bb
In base 12, what is 60121 + -4?
60119
In base 11, what is 0 + -19668?
-19668
In base 7, what is -1 - 2402550?
-2402551
In base 14, what is -9 - 125a?
-1265
In base 5, what is -2 + 312123?
312121
In base 15, what is 23 + 1d193?
1d1b6
In base 8, what is 1474 - 1246?
226
In base 11, what is a + -6919a?
-69190
In base 16, what is 297ee1 - 4?
297edd
In base 3, what is 0 + 1211000212010?
1211000212010
In base 12, what is -3 - -339b07?
339b04
In base 14, what is 6 - -bda7?
bdad
In base 14, what is bbb + 76?
c53
In base 6, what is 44344 + 3?
44351
In base 16, what is -c83a + -5?
-c83f
In base 6, what is -35213 - 1334?
-40551
In base 10, what is -5385 - -4?
-5381
In base 13, what is 117a6 - -5?
117ab
In base 10, what is 13 + 14197?
14210
In base 16, what is 5 - -4f8?
4fd
In base 10, what is 3 - -4191?
4194
In base 8, what is 14 - -306612?
306626
In base 14, what is -2 + 3d6b42?
3d6b40
In base 11, what is -3846 - 71?
-3907
In base 7, what is -16535164 - -4?
-16535160
In base 14, what is 2442b2 - -5?
2442b7
In base 13, what is -2480 - 2b8?
-2768
In base 10, what is 2055031 - -5?
2055036
In base 9, what is 348854 + -5?
348848
In base 4, what is 320 + -11003?
-10023
In base 13, what is 27b + 1679?
1927
In base 12, what is 2 + -1aab78?
-1aab76
In base 16, what is 7c01 - -2b?
7c2c
In base 6, what is -5 - 14243?
-14252
In base 12, what is -51 + 20b8?
2067
In base 12, what is -2 + -19b319?
-19b31b
In base 9, what is 6 + 833852?
833858
In base 3, what is -100020220200 + 21?
-100020220102
In base 13, what is 1060 + 16?
1076
In base 5, what is -10022 - 232?
-10304
In base 3, what is 1010 - -120010002?
120011012
In base 11, what is 0 - 113a4?
-113a4
In base 15, what is -2 + -265?
-267
In base 14, what is -7a3c - -bc?
-7960
In base 3, what is 0 + -1222021011?
-1222021011
In base 10, what is 1309 + -971?
338
In base 12, what is 348b + 14?
34a3
In base 14, what is -53 + -b1?
-124
In base 14, what is -36c - 97?
-425
In base 16, what is aa74 + 1f?
aa93
In base 10, what is -245890 + -1?
-245891
In base 5, what is 3211 + 13104?
21320
In base 10, what is 38877 + -3?
38874
In base 7, what is -1661352 + 0?
-1661352
In base 5, what is -2 - -101224?
101222
In base 16, what is -fc7 - b?
-fd2
In base 13, what is -883 + 133?
-750
In base 6, what is 5 + 321320?
321325
In base 6, what is -24354155 - 4?
-24354203
In base 14, what is -22 + -4c?
-70
In base 10, what is 0 + -1375?
-1375
In base 15, what is 31b3c + 3?
31b40
In base 11, what is -5 + -55782?
-55787
In base 12, what is -1 - 9778?
-9779
In base 6, what is 1203 - 2101?
-454
In base 16, what is 5 - -1ebbe?
1ebc3
In base 15, what is 7 + -4e44?
-4e3c
In base 2, what is -10010100011011 - -11001011?
-10010001010000
In base 8, what is -1642 - 176?
-2040
In base 9, what is 126404 - 1?
126403
In base 12, what is 487891 + -4?
487889
In base 8, what is 4662 - -33?
4715
In base 9, what is 8638 - -120?
8758
In base 10, what is -9 + 987?
978
In base 12, what is 1390 + 84?
1454
In base 6, what is -421103 - 10?
-421113
In base 4, what is -300312 + -1000?
-301312
In base 7, what is -4026 - -56?
-3640
In base 13, what is b9 + -3b?
7b
In base 7, what is 106 + 22?
131
In base 5, what is 10102041 - -202?
10102243
In base 10, what is 283464 - -4?
283468
In base 16, what is 1a4 + 81?
225
In base 12, what is 6691a - 0?
6691a
In base 5, what is 4 - -1121012?
1121021
In base 3, what is -20212112 - -120?
-20211222
In base 9, what is 82603 - -1?
82604
In base 5, what is -2 - -41423233?
41423231
In base 13, what is -1 + 16654?
16653
In base 3, what is 111110 - -200?
112010
In base 5, what is 133243 + -244?
132444
In base 5, what is -32113 - 104?
-32222
In base 10, what is 76 - 1267?
-1191
In base 15, what is -2113 - -3a?
-20c8
In base 4, what is -2 + -3011020233?
-3011020301
In base 13, what is 300 - 914?
-614
In base 6, what is -215 - 11001?
-11220
In base 6, what is -102 - -43203?
43101
In base 11, what is -35 + 429?
3a4
In base 10, what is -586320 + -1?
-586321
In base 11, what is -494 - -381?
-113
In base 5, what is 123042022 - -1?
123042023
In base 9, what is -1422 + -10543?
-12065
In base 6, what is -3235 - 25?
-3304
In base 5, what is -400243 - 2?
-400300
In base 15, what is b2 + a21?
ad3
In base 16, what is -4 - 2f3c?
-2f40
In base 4, what is -30 + 133123?
133033
In base 5, what is 1 - -224423141?
224423142
In base 2, what is 11000 + 111110111101010?
111111000000010
In base 16, what is 5c - -741?
79d
In base 2, what is -11101 - -110000010110111?
110000010011010
In base 16, what is be - -f8?
1b6
In base 11, what is 5 - 1573?
-1569
In base 15, what is -6 - -cceae?
ccea8
In base 16, what is b38 - -432?
f6a
In base 12, what is -71579 - -2?
-71577
In base 6, what is -324 - -5325?
5001
In base 3, what is 121 + -21100022?
-21022201
In base 10, what is -87 + 118?
31
In base 8, what is 262316 - -5?
262323
In base 13, what is 3b + -9b?
-60
In base 5, what is 200414111 - 0?
200414111
In base 5, what is 1 - -130411?
130412
In base 8, what is -64706 + -40?
-64746
In base 5, what is -1423312 - -122?
-1423140
In base 9, what is 3 - 30425?
-30422
In base 9, what is 13 + -1683?
-1670
In base 8, what is -366 - 216?
-604
In base 2, what is -1 - 101101001010100100?
-101101001010100101
In base 3, what is 2211011212 - 1022?
2211010120
In base 4, what is 22132320 - -1?
22132321
In base 5, what is -1 + 2133002?
2133001
In base 2, what is 0 + 100101111100111001?
100101111100111001
In base 12, what is 35 - 140?
-107
In base 2, what is -111110011110101001010 - -11?
-111110011110101000111
In base 3, what is 100100021211 - -10?
100100021221
In base 7, what is 20 + 243466?
243516
In base 3, what is 2212021021 - -221?
2212022012
In base 2, what is -111101110100110 - 101?
-111101110101011
In base 6, what is 135233 - -10?
135243
In base 8, what is -271307 - 25?
-271334
In base 14, what is 1a + 58?
74
In base 14, what is -138 - -218?
c0
In base 9, what is -6306 + -52?
-6358
In base 14, what is -a + 2547b?
25471
In base 7, what is 5361 + -1360?
4001
In base 12, what is 6 + 304099?
3040a3
In base 11, what is 1222 - 188?
1045
In base 3, what is -201 + 1101010001?
1101002100
In base 16, what is -3 + 3b43?
3b40
In base 10, what is 5 + -3497?
-3492
In base 9, what is 5 + 3101?
3106
In base 7, what is 4 + -10311?
-10304
In base 8, what is 46120 - 10?
46110
In base 13, what is -5a33 - -7?
-5a29
In base 2, what is -1100010101110 + -10010?
-1100011000000
In base 16, what is -254 - 6?
-25a
In base 12, what is -198 + -61?
-239
In base 10, what is -7 + 23994?
23987
In base 7, what is -26 - 31363?
-31422
In base 13, what is 4b5a5 - -5?
4b5aa
In base 14, what is -1b - -1c88?
1c6b
In base 7, what is 31 - -1313?
1344
In base 11, what is -4 + 1882?
1879
In base 3, what is 101210 - -21102?
200012
In base 10, what is -171 + -18?
-189
In base 2, what is -100 + 1101110111000010?
1101110110111110
In base 5, what is -13 - 11020?
-11033
In base 13, what is 5 - a38c?
-a387
In base 11, what is -64 - 29773?
-29827
In base 9, what is 27132 - 7?
27124
In base 5, what is 102 - 234022?
-233420
In base 9, what is 2 + -27212?
-27210
In base 8, what is 26631 - 2?
26627
In base 16, what is 9 + -1c3?
-1ba
In base 11, what is 8 - 11422?
-11415
In base 8, what is -13217167 - -5?
-13217162
In base 5, what is -1030 - -4241?
3211
In base 6, what is -14132 - 2233?
-20405
In base 13, what is -1c1 + -146?
-337
In base 14, what is 14 - bb9c?
-bb88
In base 11, what is -646 + 42?
-604
In base 7, what is 5 - -26203?
26211
In base 6, what is -10 - 115445?
-115455
In base 6, what is 2 + 120340?
120342
In base 6, what is -1 + 54332?
54331
In base 3, what is 121011 + -1010?
120001
In base 6, what is 0 - -5455303?
5455303
In base 7, what is 3251 - -142?
3423
In base 2, what is 1111110110100011001 - 10?
1111110110100010111
In base 4, what is 1112133 - 11?
1112122
In base 7, what is -1 - -215430?
215426
In base 15, what is 3452 + -1?
3451
In base 15, what is -31c + 24?
-2e8
In base 16, what is -e1d - b2?
-ecf
In base 3, what is 2 + 202200202?
202200211
In base 2, what is -1000101100 + -10000000000010?
-10001000101110
In base 3, what is -11 - 1200101121?
-1200101202
In base 4, what is 33211 - 2013?
31132
In base 10, what is 325 + -115?
210
In base 2, what is -111110101101 + 1110010?
-111100111011
In base
|
{
"pile_set_name": "DM Mathematics"
}
|
8. Suppose 4*c = 4*y - 2920, -3*y - 2*c - z = -6*y. Let x = -212 + y. Is x a prime number?
True
Let n = 17 - 10. Let j(l) = -l**2 + 10*l + 6. Let d be j(n). Is 10/45 + 2235/d prime?
True
Suppose -4*z + 0*z = -8. Suppose -7*s - 1 = 2*o - z*s, -5*s = 4*o - 3. Suppose 1632 = 4*w - 5*n - 621, -3*w + o*n + 1681 = 0. Is w prime?
True
Suppose -5*m + 6*m + 4 = 0. Let h be 5/((-1)/m*4). Suppose -i = -h*w + 165, -w - 4*i - 99 = -4*w. Is w composite?
True
Let i = 397 + 234. Is i prime?
True
Let d = 2472 + -1586. Let z = d + -492. Is z a composite number?
True
Is 633/2*8/12 a prime number?
True
Suppose -30231 = -8*q + 1681. Is q a composite number?
False
Let d be (-10)/55 - (-79)/11. Let c be d/(3*2/378). Suppose -11 = -4*f + c. Is f a composite number?
False
Let o be (-1110)/(-55) - 4/22. Let n = 24 - o. Is (-630)/(-8) - (-1)/n a composite number?
False
Let x = -636 + 1531. Is x prime?
False
Is 720 + (-10 + 6 - -2) composite?
True
Let l be 3 + (4 - -1) + (-3 - -4). Suppose l*r - 3335 - 238 = 0. Is r composite?
False
Suppose -6*c + 1087 = h - 2*c, -c = -2*h + 2129. Is h a composite number?
True
Let h(x) = -x**3 + 5*x**2 + 15*x - 1. Let q be h(7). Let r be (-2 - 0 - 0) + 4. Is ((-4)/q)/(r/(-1185)) composite?
True
Let c(v) = -9269*v + 20. Is c(-1) prime?
False
Let w(x) = -4*x**3 + x**2 - 3*x + 1. Let u = -40 - -37. Is w(u) composite?
False
Let u = 47 + -41. Suppose 17300 = u*a + 1538. Is a prime?
False
Suppose 2*y - 6707 = -k, -4*k = -5*y + k + 16805. Let d = -2373 + y. Is d prime?
True
Suppose -10*j = 20014 - 143744. Is j a prime number?
True
Is 13070/90 - 4/18 a prime number?
False
Let v be -3 + (-2 + 30)/4. Suppose -4*o - 6*f - v = -2*f, 0 = 5*f + 5. Suppose o = 2*q - 2*g - 306, 3*q + 145 = 4*q + g. Is q a prime number?
True
Suppose -2*d = -b + 12, 0 = 2*b - d - 4*d - 26. Let o(s) = -s**3 + 14*s**2 - 21*s - 8. Let l be o(12). Is (l/b)/(1/4) composite?
True
Suppose 3*z + u + 1 = -6, 3*u = -2*z. Is 314 - (z - (3 + -3)/(-3)) prime?
True
Let g be 3*4/12*(2 + -2). Suppose 3*n + 2*n - 745 = g. Is n prime?
True
Let d = 93 + 436. Let q be (-2 + 1)*(0 - d). Let p = -32 + q. Is p prime?
False
Let w = 2643 - 805. Is w prime?
False
Suppose -15*t = -6*t - 27. Let h(q) = 98*q**2 + 2*q + 5. Is h(t) prime?
False
Suppose 50 = 7*v - 2*v. Let k be 3/2 - 475/v. Is (2 - k) + -1 + 0 a composite number?
False
Suppose 0 = 7*a - 206681 + 40270. Is a a composite number?
False
Let w = -69 + 70. Suppose 18 = u - w. Is u a composite number?
False
Let g = 15 + -9. Let l = -4 + g. Suppose 2*v = -0*v + 5*i + 173, l*v - 4*i = 168. Is v prime?
False
Let u = -64 - -58. Let r = 6 + 1. Is u*r*3/(-6) prime?
False
Suppose 3*d + 16199 - 90092 = 0. Is d prime?
True
Let j(n) = n**2 - 4. Let i be j(-3). Suppose -t = 3*w - 11, 3*w = i*t + w - 21. Suppose t*u + 537 = 3*x, -2*x - 2*u - u + 358 = 0. Is x composite?
False
Let i be 4/6 - (-56504)/42. Suppose -4*q + 9 = -7. Suppose -1634 - i = -q*y. Is y composite?
True
Let d(p) = -p**3 - p**2 + 11*p + 9. Suppose 4*y - 25 = -y. Let t(n) = -n**2 + 6*n - 11. Let v be t(y). Is d(v) a composite number?
True
Let u = 2 - -2. Suppose 0*p + 3*p = -4*n - 78, -4*p = u*n + 80. Is ((-498)/(-2))/((-27)/n) a composite number?
True
Let c(h) = -242*h + 319. Is c(-9) composite?
True
Let t = 3912 + 7. Is t composite?
False
Let q be (6/(-10))/(-3*(-3)/(-45)). Let d = -5 - -8. Suppose -q*k - d*k = -126. Is k a prime number?
False
Let l be ((-10)/(-15))/((-4)/(-18)). Is -4 + (-2130)/(-5) - l/1 a prime number?
True
Suppose 66 = 3*b + l, -2*l - l = 0. Suppose -4*z + 112 = 4*q, 4*z + q = 5*z - b. Is z prime?
False
Let o(w) = 2*w**2 + 13*w + 8. Let t be (-8)/(-6) + (-68)/(-12). Let n be (-93)/t - 2/(-7). Is o(n) a prime number?
False
Suppose 3*p - 3*k + 106 - 25 = 0, 4*k = -4. Is (p/(-16))/(3/1668) composite?
True
Suppose 5*b = -3 + 13. Is ((-2)/b)/((-3)/1221) a prime number?
False
Suppose 4*h = 3*h + 2. Suppose h*y + 20 = 7*y. Suppose 2*u + j = 579, u + y*j - 881 = -2*u. Is u prime?
False
Let s = 3201 - 1450. Let o = s + -862. Is o a prime number?
False
Suppose -164053 = -4*i - r, i = -0*i - 5*r + 40999. Is i a composite number?
True
Let a(q) = 4*q**3 - 100*q**2 + 67*q + 28. Is a(41) a composite number?
False
Let d(v) = -20*v - 10. Let b be d(7). Suppose 325 + 2 = -t. Let s = b - t. Is s composite?
True
Let r be -115*3/6*-2. Let m be r/(-1)*4/(-5). Suppose c + c = m. Is c a composite number?
True
Let u(j) = -513*j + 11. Let o(l) = -1027*l + 23. Let p(q) = 4*o(q) - 9*u(q). Is p(2) a composite number?
True
Let a be (14/10)/(8/40). Suppose a*m = 5*m + 754. Is m composite?
True
Let r(n) = -132*n + 1. Let d = 9 - 21. Is r(d) a prime number?
False
Suppose 15*o = 14*o + 1. Is (-9306)/48*-6 - o/4 composite?
False
Let q(i) = 5*i**2 - 3*i + 4. Suppose -p - p = -10. Let t be q(p). Suppose -3*j = t - 381. Is j prime?
True
Let i(o) = o**3 - 4*o**2 - o - 1. Let q be ((-15)/(-3))/(1/1). Suppose 0*s + 21 = 3*g + q*s, 0 = -2*g - s + 14. Is i(g) a composite number?
False
Suppose 442736 = 85*u - 387459. Is u composite?
False
Let i(m) be the second derivative of -7*m + 1/2*m**2 + 1/3*m**4 + 0 - 1/6*m**3. Is i(6) a prime number?
True
Let r(f) = 38*f + 19. Let v(t) = 6*t**2 - 7*t + 1. Let u be v(2). Is r(u) a prime number?
False
Suppose -6 = -3*m, -4*a = -4*m - 0*m - 40. Suppose 5*p - p - a = 0. Suppose 1337 = p*l - 4*q, -112 = -l + 2*q + 331. Is l composite?
True
Let c = -48088 + 88167. Is c composite?
True
Let p(a) = -a**3 - 2*a**2 + 8*a + 55201. Is p(0) a prime number?
True
Let b = -6410 - -18468. Is b prime?
False
Let x = 55 - 37. Is (9/x)/((-1)/(-3946)) a composite number?
False
Let c(a) = -1 + 8 + a + 8 - 5. Let l be c(-7). Is l - -1*(87 - 1) a composite number?
False
Let u = 143 - -222. Let s = u + 284. Is s composite?
True
Let o = 12050 + -5215. Is o composite?
True
Let t = 33 - -2. Let b be (-3)/5 + 4431/t. Let n = b + -77. Is n a composite number?
True
Let g(w) = 20*w + 24*w - 15 + 6*w**2 + 12*w. Is g(-18) a composite number?
True
Let j(t) = 3*t - 4. Let i be j(2). Suppose -3*l = 3*a - 1428, 4*l + 970 = i*a - 0*l. Is a a composite number?
False
Let i be ((-6)/7)/(1/7). Let t be 81/i + (-4)/8. Let v(y) = y**2 + 9*y - 15. Is v(t) composite?
True
Let i be -3*1/9*-2217. Suppose 10*d - i - 1491 = 0. Is d a composite number?
False
Let k = 35 - 30. Suppose 3*w = 2*w - k*f + 256, f - 810 = -3*w. Is w prime?
True
Let n be 11/(-2)*(-4)/11. Is ((-1041)/n)/(14/(-28)) a prime number?
False
Is -14*4/(-140) + (-20583)/(-5) a composite number?
True
Suppose -6361 = -2*g - 3*v, 2*g + 5*v - 6860 = -489. Is g a composite number?
True
Suppose 0 = i, -4*i + 8 = 5*j - 2. Suppose -j*v = -411 - 35. Is v a composite number?
False
Suppose -5*t + 2721 = -4334. Is t prime?
False
Suppose -3*x + 213 - 1572 = -2*m, 0 = -5*x - 5. Suppose i - 3193 = -m. Is i a composite number?
True
Suppose 2 = 2*a, -3*o + 0*a = -4*a - 74. Let n be o/6 + (-2)/6. Suppose n*q - 5*k + 641 = 2197, 3*k + 778 = 2*q. Is q a prime number?
True
Is (-40799616)/(-1053) - 4/54 composite?
True
Suppose 0 = -298*l + 291*l + 8939. Is l prime?
True
Suppose -k - 318134 = -12*c + 9*c, 2*c + 3*k = 212071. Is c composite?
True
Let p(f) = -f**3 - 18*f**2 - 8*f + 20. Suppose -155 = 11*j + 54. Is p(j) a prime number?
False
Let d = -26148 - -36631. Is d a prime number?
False
Let w(d) = 1777*d**2 - d + 1. Let i be 22/(-33)*(-3)/2. Is w(i) composite?
False
Suppose -r - 2 = r - 2*b, 3*r - 13 = -b. Suppose 4*c + r*s = 451, 29 = c - 4*s - 60. Is c a composite number?
False
Suppose 2*o - 46 - 68 = 0. Let g = o + 121. Is g prime?
False
Let x(j) = -3*j - 2. Suppose -l + 5*i = 18, 3*i - 6*i + 2 = -5*l. Let h be x(l). Let c(k) = -k**3 - 9*k**2 - 11*k - 5. Is c(h) a composite number?
False
Suppose 0 = r + 5*u - 5 - 4, -u = -1. Let z be (12/(-21))/((-2)/7). Suppose -103 = -0*a - z*a + k, -r*a + 209 = -k. Is a a prime number?
True
Suppose 4*j - 16 = -0*j. Let k(l) = 24*l**3 + 5*l**2 - 4*l - 4. Let y be k(j). Let v = -623 + y. Is v a composite number?
True
Let h = 10707 + -6530. Is h prime?
True
Let q(w) = 4*w**2 - 4*w - 14. Let h be q(6). Let l = 245 - h. Is l a composite number?
False
Let q be (-3)/(-3)*(-1 + 3). Let p be (-2)/3 - (-371)/3. Suppose q*x - p = -5*d, -x + 90 + 9 = 4*d. Is d a composite number?
True
Let t(r) = -r**3 + 16*r**2 - 14*r - 19. Let w be t(15). Le
|
{
"pile_set_name": "DM Mathematics"
}
|
u(s) be the third derivative of -617*s**9/168 - 293*s**5/60 - 8*s**2 - 23*s. Find the third derivative of u(l) wrt l.
-222120*l**3
What is the third derivative of 24*p + 105 - 78 - 15*p**3 - 546*p**5 + 5846*p**5 + 15*p**3 - 2*p**2 wrt p?
318000*p**2
What is the second derivative of 2*w**3 - 270*w**5 + 41*w**5 + 2440*w + w**4 - 676*w**5 wrt w?
-18100*w**3 + 12*w**2 + 12*w
Suppose 216 = 35*a - 27*a. Differentiate a*p - 50*p - 44*p + 49 wrt p.
-67
Let x(y) be the second derivative of 5*y**4/12 - 18*y**2 - 34*y. Let w(l) = -2*l**2 + 1. Let i(a) = 3*w(a) + x(a). What is the derivative of i(p) wrt p?
-2*p
Let j = -165 + 179. What is the second derivative of 5 - 22 + 20 - j*p**2 + 2*p - 57 wrt p?
-28
Let k(p) = -5*p. Let s(o) = 408*o**5 + 2*o**3 - 12*o**2 - 10*o + 3. Let y(f) = 2*k(f) - s(f). Find the third derivative of y(b) wrt b.
-24480*b**2 - 12
Let u(d) be the second derivative of 673*d**6/30 + d**5/4 - 595*d**4 + 45*d + 3. Find the third derivative of u(j) wrt j.
16152*j + 30
Let l(y) be the third derivative of -y**4 + 10*y**3/3 - 46*y**2. Let p(v) = 25*v - 21. Let m(z) = -6*l(z) - 5*p(z). Differentiate m(d) wrt d.
19
Let j(s) = s**3 - 2*s**2 + 8*s - 3. Let q be j(3). Let d = q + 1. Find the third derivative of -d*c**2 - 19762*c**5 - 47*c**6 + 19762*c**5 wrt c.
-5640*c**3
Let s(r) = 173*r**3 + 26*r**2 + 2*r + 10434. Let w(h) = -520*h**3 - 83*h**2 - 6*h - 31300. Let o(d) = -16*s(d) - 5*w(d). Differentiate o(t) with respect to t.
-504*t**2 - 2*t - 2
Let m = -10444 + 10447. Let h(z) be the first derivative of 0*z + 0*z**2 - 20 - 23/3*z**m - 21/4*z**4. Find the third derivative of h(k) wrt k.
-126
Let x(z) = 8015*z**2 - 1257*z + 2. Let h(g) = 12*g**2 + 2*g - 1. Let k(r) = 2*h(r) + x(r). What is the second derivative of k(y) wrt y?
16078
Let u(c) be the second derivative of -767*c**6/15 - 10399*c**2/2 - 1179*c + 6. What is the derivative of u(x) wrt x?
-6136*x**3
Suppose -4*p - p = -4*d + 18, -2*d = 5*p + 6. Let n be (3 - (1 - -24))*d/(-4). Find the first derivative of 17 + 4*o**2 + n*o**2 + 9*o**2 - 10*o**2 wrt o.
28*o
Let x(g) = 2309*g**2 - 1415*g - 7. Let p(d) = 1155*d**2 - 714*d - 4. Let u(r) = 7*p(r) - 4*x(r). Find the second derivative of u(k) wrt k.
-2302
Let q(s) be the third derivative of 1583*s**9/504 - 371*s**5/12 - 860*s**2. What is the third derivative of q(f) wrt f?
189960*f**3
Let j be (-234)/(-42) - (-3)/7. Let p = -2 + j. Find the second derivative of -l + 707*l**p - 720*l**4 - 12*l wrt l.
-156*l**2
Let f = -195 - -200. Find the third derivative of 4*r**4 + 72 + 2*r**2 + r**f - 72 + 7*r wrt r.
60*r**2 + 96*r
Suppose 11*l = -5*t + 14*l + 13, 4*t = 4*l + 12. Find the second derivative of -77*s**3 + 56*s - 14*s - t*s wrt s.
-462*s
Let i = -442 + 444. What is the third derivative of 2*q**2 + 12*q**6 - q + i*q**4 + 0*q**3 - 3*q**3 + 7*q**3 - 4*q**3 wrt q?
1440*q**3 + 48*q
Let z = -33 + 50. Find the second derivative of -2*g**3 - 3*g + z*g**2 + 70 + 4*g - 27 - 2*g wrt g.
-12*g + 34
Find the second derivative of -96*k - 1607*k**3 - 875*k + 4 - 4 + 442*k**3 wrt k.
-6990*k
Let h(l) be the third derivative of 199*l**7/21 + 239*l**3/6 - 2*l**2 + 1296*l. Differentiate h(a) wrt a.
7960*a**3
Suppose 3*l = 4*u - 36, 8 = 3*u - 5*l - 8. Suppose -x + 18 = -3*v, -x + 3*v - u = -5*x. Find the first derivative of 2*d**3 - x - 26*d + 26*d wrt d.
6*d**2
Let h(w) be the second derivative of 23*w**6/144 + 67*w**5/120 - w**4/4 - 31*w**2/2 - 117*w. Let x(i) be the third derivative of h(i). Differentiate x(u) wrt u.
115
Let s(c) = -2*c**3 + 3*c**2 + 3*c + 2. Let h be s(-2). Suppose 5*x - h = 21. What is the third derivative of -x*d**2 - 10*d**2 - 23*d**3 + 6*d**3 wrt d?
-102
Suppose -2*q - 26 = -36. Let u(y) = 129*y**2 + 6*y - 256. Let d(m) = -128*m**2 - 5*m + 256. Let r(o) = q*u(o) + 6*d(o). What is the derivative of r(i) wrt i?
-246*i
Let t(w) be the second derivative of 6*w**7/7 + 7*w**4/4 - 7787*w**3/6 + 11*w + 77. What is the second derivative of t(l) wrt l?
720*l**3 + 42
Let g(y) = 206*y**2 + 8*y - 3067. Let t(k) = -9*k**2 + 2*k + 1. Let a(l) = -g(l) + 3*t(l). What is the derivative of a(f) wrt f?
-466*f - 2
Let y(g) be the third derivative of 29/3*g**3 - 2*g + 0 + 153*g**2 - 11/12*g**4 - 1/15*g**5. Differentiate y(d) wrt d.
-8*d - 22
Let j be (-4 - -2 - 0)*6/(-4). What is the third derivative of -2*c**2 - 10 + 37 - 38 + 28*c**j wrt c?
168
What is the third derivative of 5*d**4 + 462*d**3 + 7*d**4 - 246*d**2 - 303*d**2 - 15*d**4 - 645*d**2 wrt d?
-72*d + 2772
Find the first derivative of -219*v - 411*v + 376 - 189*v - 173*v + 162*v wrt v.
-830
Let x = -951 + 1930. Find the third derivative of 27 - 325*w**2 + x*w**2 - 331*w**2 + 92*w**4 - 326*w**2 wrt w.
2208*w
Let s(p) be the first derivative of 25*p**3 - 1/2*p**2 - 233*p + 226. What is the derivative of s(t) wrt t?
150*t - 1
Let g = 298 + -295. What is the third derivative of 175*s**3 - 177*s**g + 2*s - 51*s**2 + 27*s**2 wrt s?
-12
Suppose -3*u + 6*u + w - 8 = 0, -2*u - 4 = -4*w. What is the derivative of -u + 32*j - 78 - 125 + 23 - 192*j wrt j?
-160
Let l(m) be the third derivative of -287*m**6/40 + 21*m**5/4 - 1291*m**2. What is the third derivative of l(n) wrt n?
-5166
Let i(x) = 5*x**4 + 2*x**3 - 87*x + 1073. Let d(k) = -k**3 - 1. Let t(f) = 2*d(f) + i(f). Find the first derivative of t(q) wrt q.
20*q**3 - 87
Let t(s) be the second derivative of -1133*s**5/5 - 7*s**3/2 + 44*s**2 - 3367*s. Find the second derivative of t(j) wrt j.
-27192*j
Find the second derivative of 67*i + 136*i - 543*i + 27*i + 1657*i**2 - 23*i wrt i.
3314
Let f(n) = -n**2 + 4*n - 9. Let z(c) = 3054*c**2 + 5818*c + 45. Let m(j) = 5*f(j) + z(j). What is the second derivative of m(i) wrt i?
6098
Let l(b) be the first derivative of 332*b**5 + 3569*b**3/3 - 4021. Find the third derivative of l(d) wrt d.
39840*d
Let d(q) = 168*q + 267. Let y(b) = -338*b - 534. Let w be ((-5)/5)/((-4)/(-24)). Let g(j) = w*y(j) - 13*d(j). Differentiate g(v) with respect to v.
-156
Let m = -529 - -1058. Suppose -m - 113 = -6*h. Find the second derivative of 20*j**5 - j**5 - 129*j + h*j - 3*j**5 wrt j.
320*j**3
Let h(v) be the second derivative of 15/2*v**2 - 1/21*v**7 + 0*v**5 + 7/30*v**6 - 2*v + 1/3*v**3 + 0*v**4 - 7. What is the second derivative of h(g) wrt g?
-40*g**3 + 84*g**2
Let u = 331 - 226. Suppose 144*l = 147*l - u. Find the second derivative of -5*m**4 - l + 35 - 9*m**4 + 21*m wrt m.
-168*m**2
Let t(o) be the second derivative of -203*o**6/5 + 1040*o**3/3 + o - 612. Find the second derivative of t(p) wrt p.
-14616*p**2
Let s(o) be the first derivative of 575*o**4/4 + 1789*o**3/3 - 932. Find the third derivative of s(l) wrt l.
3450
Let y(h) be the third derivative of 709*h**4/12 + 518*h**3 + 1348*h**2. Differentiate y(r) wrt r.
1418
Let m(w) be the second derivative of w**2 + 0*w**5 - 129*w + 79/30*w**6 + 0*w**4 + 0 + 10/3*w**3. What is the second derivative of m(r) wrt r?
948*r**2
Let u be 6*(-1)/(-3) - -1. Differentiate 1 - 283*t**2 - 285*t**2 - 2*t**3 - 5*t**u + 565*t**2 wrt t.
-21*t**2 - 6*t
Let g(m) be the second derivative of -2406*m**5/5 + 50*m**4/3 + 2*m**3/3 - 2*m - 7450. Find the third derivative of g(j) wrt j.
-57744
Find the third derivative of -4 + 827*z**4 - 2876*z**4 - 2724*z - 103*z**2 + 2724*z - 2 wrt z.
-49176*z
Let b(w) be the first derivative of 9193*w**2/2 + 1960*w + 9968. Find the first derivative of b(p) wrt p.
9193
Let f(l) = l**2 + 17*l - 116. Let x be f(-22). Let j(z) = 3. Let o(q) = 23*q - 84. Let w(k) = x*j(k) - o(k). What is the derivative of w(u) wrt u?
-23
Let r = -38 - -36. Let z be (-12)/9*(7/(-2) - r). Find the third derivative of 28 - 16 - 23*l**z - 12 + 14*l**5 wrt l.
840*l**2
Suppose -5*g = 5*q + 155, g - 143 = 8*q - 3*q. Let t = -22 - q. What is the second derivative of -5*k + 13*k + k**4 - t*k**4 wrt k?
-72*k**2
Let i(f) = 10*f + 23. Let k be i(5). Let h = 93 - k. What is the third derivative of -u**2 + h*u**2 + 10*u**5 + 5*u**2 wrt u?
600*u**2
Suppose 64 - 172 = -36*s. Find the third derivative of 67*w**3 + 15*w**3 - 4*w + 15*w**3 - w**3 + s*w**2 wrt w.
576
Let p be 0 + 0 + 2 + (5 - -9). Suppose -5*c = -x - 16, -x - 2*x - c + p = 0. What is the derivative of -22*d**x + 4 + d**4 - 2 wrt d?
-84*d**3
Let z(m) be the third derivative of 241*m**4/3 - 1513*m**3/6 - 601*m**2. Find the first derivative of
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{
"pile_set_name": "DM Mathematics"
}
|
4*j for a.
8
Solve -198897*b = -198896*b + 13*h - 9, b + 7 = 3*h for b.
-4
Solve -493*o + 23*t = 494*o - 992*o + 29, -2*o - 2*t - 6 = 4 for o.
-8
Solve -34*v + 3*q = 8*v + 189, -27 = 2*v + 4*q - 47 for v.
-4
Solve 176*s + 117*s + 80 = 16*v + 288*s, -3*s - 96 = 0 for v.
-5
Solve 2*m - 17*n - 2629 + 2333 = 0, -120 = 6*m + 5*n for m.
-5
Solve -718*n - 724*n + 5*o + 20 = 717*n - 2155*n, -20 = -4*n + 4*o for n.
5
Solve 3*p = -85*b + 87*b - 6 + 88, 27*p + 5*b = 830 for p.
30
Solve 2*u - 10 = 7*n + 23, -13*n + 16*n - 18 = 5*n - 2*u for n.
-3
Solve -13*s = 85806 - 85260, s + 19 - 1 = 6*p for p.
-4
Solve -2*z - 26 = -14*s, -2*z = -34*s + 30*s + 6 for z.
1
Solve 0 = 4*m + 4*c + 96, 215*m - 218*m - 5*c = 74 for m.
-23
Solve 0 = 3*b - 4*v - 56, -365 = -5*b + b + 4*v - 309 for b.
0
Solve 0 = 4*m + h + 28, -22*m - 104 = 809*h - 816*h for m.
-6
Solve -22*h + 4*h = 5*r + 98, 4*h - r + 22 = -2*r for h.
-6
Solve -3*u = z - 16, 3*u - 10*u + 8*u - 1 = z + 6 + 1 for z.
-2
Solve 3*c + 11 = 5*d + 55 + 20, 20*c + 171 = -21*d for d.
-11
Solve 4*c + 175 - 292 = 36*w - 35*w - 156, -3*w - c = c - 47 for w.
19
Solve 807*z - 2*c + 1879 = -544, -4 - 1 = z - 2*c - 0 for z.
-3
Solve -10 = -k + y, 4*k + 11*y = -k + 16*k - 16*k + 18 for k.
8
Solve 44 = 13*g - 9*g + 20*q, -1167*g - 71 = -1163*g - 3*q for g.
-14
Solve -60*t - 216 = 44*t - 100*t + 5*p, 5*t - 9*p - 340 = 0 for t.
-4
Solve -3*a - i - 35 = -49, 8*a - 2328*i = -2323*i + 91 for a.
7
Solve 0 = 2*j - 2*v - 50, -4*v - 7652 = 5*j - 7516 for j.
-4
Solve 2*u - 13*l = 76*l - 338, 4*u + 278*l + 6 = 6*u + 275*l for u.
9
Solve -w = 3*y - 1, -2*w - 3*w - 2*y - 4138 + 4104 = 0 for w.
-8
Solve -6*n - 5*x - 114 = 81, -1899*x + 1902*x + 104 = -n for n.
-5
Solve 0 = 5*u - 2*g + 169, -951*u + 1901*u - 951*u = -10*g + 53 for u.
-33
Solve 5*b - n - 7 = 5 + 18, 36*b - 53*b = -3*n - 100 for b.
5
Solve -2*i = -r - 6 + 18, 35*r + 3*i = -0*i + 128 for r.
4
Solve 8596*u + 62 = 8594*u, 3*j + 3*u - 5*u = 68 for j.
2
Solve -22*d - l + 41 = -27*d, -17*l = 3*d + 3*d + 31 for d.
-8
Solve -p + 185 = -2*w + 153, 0*p + 58 = -2*w + 2*p for w.
-3
Solve -z + 5*b + 45 = 4*z, -24*b = -5*z - 27 + 93 + 74 for z.
4
Solve -3*r - z - 652 = 4*z - 669, 5*r - 95 = 5*z for r.
14
Solve -54150 + 53084 = 4*w - 42*p, -w - 4*p = -96 for w.
-4
Solve 30741 = -2*y + 5*p + 30675, 3*p = 4*y + 132 for y.
-33
Solve 5*k + 0*k + 2264*p + 265 = 2249*p, 0 = -3*k - 2*p - 4*p - 102 for k.
4
Solve -74*y + 69*y + 6 = -4*w, 16 = -2*w + 6*w + 6*y for w.
1
Solve k - 3 = 2*t, -456*t + 228*t - 27 = -215*t + k for t.
-2
Solve 4*h = p + 108, 4*p = -7*h + 5*h + 3*p + 60 for h.
28
Solve 0 = -35*t - m + 107, -4*t + 2*t - 2 = 75*m - 79*m for t.
3
Solve -4*p - 104 - 27 = 7*a - 31, -5*a + 7 = p + 32 for p.
-25
Solve -9*l = 5*u - 113, 2*u - 4*l + 15 = -32 + 1 for u.
1
Solve 0 = -4*m - 2*f + 70, -297532*m + 297527*m - 283 = -7*f for m.
-2
Solve 5 = 24*l + 67*f - 65*f + 39, -5*l - 3*f = -104 for l.
-5
Solve -4*b + 4*b - 37 - 497 = -b + 6*h, b - 5162 = 58*h for b.
0
Solve 0 = -14*p + 3*d - 17, p - 3*d + 20 + 10 = -0*p - 13 for p.
2
Solve 3436*i + 7*z = 3440*i + 268, 2*z - 68 = 4*i for i.
3
Solve -v - 41 + 85 = 16*i, -3*v + 0*i + 8*i - 64 = 7*i for v.
-20
Solve 0 = -5*i + 5*h - 55, -37411*i + 37408*i + h - 25 = 0 for i.
-7
Solve -2*l + 551 = -551 + 1648 - 554, -4*j + 2*l - 4 = 0 for j.
1
Solve 4*i + 15 = i, 21*i + 83 = -440*x + 438*x for x.
11
Solve -21*b + 0*y + 384 = -13*b - 16*b - 8*y, -196 = 4*y for b.
1
Solve 8344*z + 10 = 8339*z, -11*z = -2*t - 6*z + 6 for t.
-2
Solve -37*w = -8*w - 3*m + 73, -2*w - 2*m = w - 4 for w.
-2
Solve 8*f = 3*f + 2*y - 32, -9*f + 12*y = -14*f + 7*y - 25 for f.
-6
Solve 0 = 2*a - 3*a + 41*y - 40*y + 1, -2*y = -a + 2 for a.
0
Solve 5*y + 12 = 4*v, -424*y + 391*y - 2*v - 136 = 0 for y.
-4
Solve 4*r + 15 = -41*j + 36*j, -161*r + 156*r + 4*j + 53 = 0 for r.
5
Solve d - 5 = -3*o + 3*d, -34*o + 23 = -d - 13 + 1 for o.
1
Solve 161*w - 357*w + 21 = -3*v - 199*w, -22*v - 3*w - 40 = 0 for v.
-1
Solve -263*f + 78*f + 76 = 3*w - 181*f, -6*f + 114 = 0 for w.
0
Solve -20 = -5*o - 5*a, 0 = 3*o + 34*a + 55 + 36 - 165 for o.
2
Solve -261730*h - 41 = g - 261733*h, 0 = 2*g - 88*h + 1148 for g.
-2
Solve 3 = -5*d + 2*d, -6*s = -3*s - 5*d + 6*d + 5*d + 9 for s.
-1
Solve 0 = -r - 5*b + 60, 21007*r - 4*b + 42 = 21009*r for r.
-5
Solve 0 = -4*n - 4*a - 72, -a + 38 = -3115*n + 3112*n for n.
-14
Solve -67*h + 237*h - 827 = -578*s + 579*s + 150 - 296, 2*h - 13 = 5*s for h.
4
Solve -13 = -7*d - u + 34, 2*u - 289522 = 2*d - 289540 for d.
7
Solve -63*p + 68*p = -k - 3 + 5 + 16, 4*p = 65*k + 146 for k.
-2
Solve 0 = -3*t + 11*q - 8*q - 7*q - 19, -11*t + 2*q = -16*t - 41 for t.
-9
Solve -4*z + 14874 - 14906 = -2*c, 2*c + 5*z = 41 for c.
18
Solve 17658*a - 17657*a + 9 = -3*r - 4, -4*a + 3*r = -8 for a.
-1
Solve -356 = 5*s - 4*j, -128 = -s - 203*j + 154*j for s.
-68
Solve -201 = -7*m + 3*f, -185*f - 147 = -8*m + 3*m - 184*f for m.
30
Solve -2*q - 48 = 1769*y - 1765*y, -5*q - 1329 = 103*y for y.
-13
Solve 6*x - 106 = 2*j - 162, -7*j - 2*x - 2*x - 4 = 0 for j.
4
Solve -30*g - x - 117 = -2*x + 2*x, -4*g - 13 = 27*x - 26*x for g.
-4
Solve -24*d + 6*p = -19*d + 2*p + 88, 3*d = 5*p - 174 + 51 for d.
4
Solve 0 = -3*k + 7*o + 240, -260*o + 254*o = -3*k + 237 for k.
73
Solve 230*w - 3*n - 23 = 228*w, 57*n = -11*w + 63*n + 53 for w.
1
Solve -n - 1156 = 4*y - 1084, 4*y - 308 = 5*n - 2*y for n.
-64
Solve -2*g = 37995*d - 37955*d - 150, -4*g - 20 = 0 for d.
4
Solve -3*i - 5*f = -10, 6*i = i - 115*f - 438 + 988 for i.
-5
Solve -2883*b - 7 = -2882*b + 3*x, -4*x = 6*b + 98 for b.
-19
Solve 5*p - 15 = -d, -2*p = -2*d + 3*p + 7292 - 7307 for d.
0
Solve -6*q - 371 + 399 = 4*m, q + 0*q - 33 + 11 = -5*m for q.
2
Solve -5*m - 2156*a + 1079*a = -1073*a - 8 + 23, 11 = m - a + 5 for m.
1
Solve -5*v + 2*l + 16 = -17 + 27, -61*l - 266*l - 202*l = 2*v - 1062 for v.
2
Solve -5295*m - 126 = -5293*m + 6*d, 0 = m + 5*d + 103 for m.
-3
Solve -68 = -3*y + 5384*h - 5388*h, 9 = -y + 5*h for y.
16
Solve 0 = -a - 2*u + 51468 - 51420, -5*a + 23*u = -174 for a.
44
Solve -v = -n - 57, -5*n + 12*v - 177 = -19*v + 28*v for n.
-3
Solve 5*q - 517 + 548 = 6*n, 5*n = 3*q + 27 for q.
1
Solve -20 = 4*p, 25082*p = 2*j + 25080*p - 10 for j.
0
Solve -4*m + 2*m - 3*f = -7, -241*m + 16 = -234*m + 2*f for m.
2
Solve 48*x = 336, 4*c - 35*x + 4*x + 13*x + 9*x - 38 = -11*x for c.
6
Solve 5*o - 16 = o, -j - 16*o = -3*j - j - j - 32*o + 76 for j.
3
Solve 31*v - 33*v - 2*p = p + 10, 3*v = 5*p - 34 for v.
-8
Solve 5*g = -2*s + 87, 2*g - 1229 = -3*s - 1203 for s.
-4
Solve 167*d = 162*d + 20, 24 = 2*n - 10*d for n.
32
Solve 3*g - 31 + 94 = -5*v - 43, 0 = -11*g - 4*v - 403 for g.
-37
Solve 4*v + 3629*b = 3626*b + 159, 0 = -5*v - 3*b + 201 for v.
42
Solve 40 = 2*q + 91*m + 21*m, q - 6*q + 151*m - 150*m + 381 = 0 for q.
76
Solve 2*u - 9 = 4*v - 21, 0 = -3*u - 12*v - 26 + 26 for u.
-4
Solve -x + 1 = -324*b + 329*b - 0*x, 0*b - 5*b - 4*x + 4 = 0 for b.
0
Solve 950*x - 1898*x = 2*j - 949*x - 1, -j - 15*x = -10*x - 17 for j.
2
Solve -5*w + 50 = -5*t, -3*t + 484 + 489 = 3*w - 479 + 1458 for t.
-6
Solve -5*n + 17 + 28 = -b, -14*n - 5*b - 117 = -12*n for n.
4
Solve 60*d = -4*t - 33*d + 87*d + 22, 0 = -t - d + 6 for t.
7
Solve -4*m + 7*a + 2*a = 7*a + 6, -3*m - 19*a = -48 + 196 for m.
-5
Solve 6*f - 250 = -94*t + 2*f, -4*t - f - 22 = -26 for t.
3
Solve 5*m = -h - 15, -4*h - 8272*m + 8271*m - 3 = 0 for h.
0
Solve -3*z + 2*p = 3*p + 43, 0 = z + 85*p - 89*p - 133 for z.
-3
Solve 11*c - 295 = -5*b, -5*c - 295 = -314522*b + 314517*b for c.
0
Solve 13*h - 65 = -10018*v + 5005*v + 5009*v, -25 = 4*v - 5*h for v.
0
Solve 0 = 18*p - 5*i + 63065 - 63968, -195 = -4*p + 3*i for p.
51
Solve -217 + 131 = 7*l - h, 0 = -4*l - 7*h - 96 + 433 for l.
-5
Solve -2*r - 26873*u - 62 = -26868*u + 15, -u = -r + 14 for r.
-1
Solve 35*j + 4*j - 92 = 1384*k - 1383*k, -16 = -k + 3*j for k.
25
Solve -102602*o + 4*v = -102599*o + 183, -4*v + 204 = 4*o for o.
3
Solve 4*u + 12 + 27 = 3*q - 7, -4*u + 44 = 2*q for q.
18
Solve 4*p + 0*p + 10*b + 5 = -5, -4*p - 11*b + 16*b = -5 for p.
0
Solve -35 = -z - 2*y - 2*y, 36 = 10*z - y + 14 for z.
3
Solve -s = u + 7, -84188*s - u - 13 = -84185*s for s.
-3
Solve 6*v + 146 = -v + 3*v + 13*p, -p - 10 = 3950*v - 3945*v for v.
-4
Solve -2*g + 17 = -5*t + 7*t + 9, -3*g - 28 = -
|
{
"pile_set_name": "DM Mathematics"
}
|
a**4 - a**3 + a**2. Suppose j + 7 = 8. Let i(p) = j*h(p) + g(p). Find the third derivative of i(u) wrt u.
1140*u**2
Let k = -366 + 370. Let b(v) be the second derivative of 0 + 0*v**4 + v**2 + 0*v**3 - k*v + 3/10*v**5. Differentiate b(p) wrt p.
18*p**2
What is the third derivative of -176*c**2 + 195*c**5 - 6*c + 177*c**2 - 35*c - 519*c**5 wrt c?
-19440*c**2
Let h = -1881 - -1884. Let z(b) be the first derivative of 1 + 0*b**4 - 3/5*b**5 - 11*b + 0*b**2 + 0*b**h. What is the first derivative of z(n) wrt n?
-12*n**3
Find the third derivative of 29 - q**2 - q**6 - 14 + 28*q**4 + 0 wrt q.
-120*q**3 + 672*q
Let j(d) = -257*d**3 - 21*d**2 - 21*d. Let m(b) = -514*b**3 - 35*b**2 - 43*b - 1. Let l(y) = 5*j(y) - 3*m(y). Find the second derivative of l(a) wrt a.
1542*a
Let d(t) = t + 2. Let y be d(17). Suppose 2*f = y + 9. What is the second derivative of 8*i - 4*i**3 - f*i - 2*i**3 - 6*i wrt i?
-36*i
Let u(x) be the first derivative of 13*x**4 + 94*x**3/3 + 144. What is the third derivative of u(q) wrt q?
312
Let g(i) = 64*i**3 + 14*i**2 + 6*i - 117. Let r(u) = -u**3 - 2*u**2 - u. Let d(f) = g(f) + 6*r(f). Differentiate d(c) wrt c.
174*c**2 + 4*c
Let j(s) = s**3 - 9*s**2 + 8*s + 3. Let n be (8/3)/((-9)/(-27)). Let p be j(n). Find the first derivative of 8 + x**3 - 6 + 3*x**p wrt x.
12*x**2
Let x be (-8)/2 + 20/5. Suppose 3*j + x*j = 12. Find the second derivative of -2*v + 5*v + 3*v**j - 2*v**4 wrt v.
12*v**2
Suppose -6*w = -w - 95. What is the first derivative of -68*u + 36*u + 32*u + w + 21*u**3 wrt u?
63*u**2
What is the third derivative of 2 - 5*o**2 + 6*o**3 - 9*o**2 + 55*o**3 + 10*o**2 wrt o?
366
Suppose 2*k + 7*k = 45. Find the second derivative of 11*o**5 + 3399*o**3 - 49*o - 3397*o**3 + 12*o**k wrt o.
460*o**3 + 12*o
Let f(i) = 15*i**2 + 5*i. Suppose 2 - 7 = 5*t. Let s(q) = q - 1. Let z(y) = t*f(y) + 5*s(y). Differentiate z(o) with respect to o.
-30*o
Let i = 38 - 15. Differentiate 1 - 150*z + 150*z - i*z**2 with respect to z.
-46*z
What is the third derivative of 104*f**6 - 34*f**6 + 3*f - 5*f + 14*f**2 + f wrt f?
8400*f**3
What is the third derivative of 6203*c**4 + c**6 - 5 - 5866*c**4 + 0*c**6 - 9*c**2 wrt c?
120*c**3 + 8088*c
Let v(h) be the second derivative of 19*h - 1/2*h**4 + 0 + 0*h**3 + 19/15*h**6 + 0*h**2 + 0*h**5. Find the third derivative of v(o) wrt o.
912*o
Let q(x) = -2*x - 9. Let p be q(-8). Suppose 0 = 2*r + 3 - p. Differentiate 6*g**2 + 2*g**2 - r*g**2 - 5 with respect to g.
12*g
Let s(x) be the first derivative of -x**8/120 - 5*x**4/3 + 11*x**3/3 + 47. Let b(c) be the third derivative of s(c). What is the derivative of b(q) wrt q?
-56*q**3
Let d(u) = 4*u**3 + 12*u**2 + 6*u + 85. Let b(o) = 8*o**3 + 26*o**2 + 13*o + 171. Let j(c) = 6*b(c) - 13*d(c). What is the derivative of j(g) wrt g?
-12*g**2
Let g(z) be the third derivative of -11*z**8/84 - z**4/3 + 5*z**3/6 - z**2 + 15. What is the second derivative of g(w) wrt w?
-880*w**3
Let b be 14/6 + 11/(-33). What is the first derivative of -b*c**3 + 4*c + 13 - 7*c**3 - 4*c wrt c?
-27*c**2
Let w(c) be the second derivative of -5*c**6/6 - 5*c**3/6 - 177*c**2 + 442*c. Find the first derivative of w(z) wrt z.
-100*z**3 - 5
Let n be ((-11)/(-22))/(2/12). Let i be -3 - (-3 + n) - -3. What is the second derivative of 3*q**5 + 8*q - 9*q**5 + i*q - 3*q wrt q?
-120*q**3
Let h(n) be the third derivative of 187*n**6/120 - 409*n**3/6 + 356*n**2. What is the first derivative of h(l) wrt l?
561*l**2
Let t(x) be the third derivative of 7/8*x**4 - 23*x**2 + 0*x**3 + 0 + 0*x + 0*x**5 + 7/60*x**6. Find the second derivative of t(w) wrt w.
84*w
Let q(i) = -i - 3. Let j be q(-5). What is the third derivative of 4*y**2 + 4*y**5 + 0*y**2 - 17*y**j wrt y?
240*y**2
Find the second derivative of 2007*n - 1937*n + 7*n**2 - 117*n**2 + 3 wrt n.
-220
What is the second derivative of -275*z**2 + 61*z + 49*z + 18*z - 2*z - 13*z wrt z?
-550
Let k = 76 - 72. Let b(z) be the second derivative of 0 + 0*z**3 - 1/2*z**k + z - 1/5*z**5 + 0*z**2. Find the third derivative of b(f) wrt f.
-24
Let t be (-15)/(-9)*(4 - 1). Find the second derivative of -t*s - 2*s**2 + 6*s**2 + 0*s**2 wrt s.
8
Find the third derivative of 6*q**3 + 71*q - 98*q**2 - 125*q + 54*q wrt q.
36
Let y(g) = g + 10. Let w be y(-7). Suppose 4 = 3*v - 2. What is the first derivative of 6*l**2 + w - 2*l**v + 5*l**2 wrt l?
18*l
Let p(v) = v**3 - 2*v**2 - 12*v - 4. Let i be p(5). What is the derivative of -1 + i*g**2 + 6 - 6 wrt g?
22*g
Let x(z) = -19*z**5 - 6*z**2 - z - 31. Let g(y) = -38*y**5 - 11*y**2 - 2*y - 61. Let k(n) = -6*g(n) + 11*x(n). Find the second derivative of k(v) wrt v.
380*v**3
Let p(m) be the third derivative of 19*m**5/20 + m**4/6 - 757*m**3/6 + 301*m**2. Find the first derivative of p(o) wrt o.
114*o + 4
Let f(p) = p**3 - p**2 + 2*p. Let t(i) = i**4 + 77*i**3 + 3*i**2 - 4*i + 68. Let z(c) = -3*f(c) - t(c). What is the second derivative of z(n) wrt n?
-12*n**2 - 480*n
Let k(f) be the first derivative of 3*f**2 - 1 + 0*f + 0*f**3 - 3/2*f**4. Find the second derivative of k(g) wrt g.
-36*g
Let l(i) be the first derivative of -i**6/30 - 7*i**4/12 - 16*i**3/3 - 2. Let w(f) be the third derivative of l(f). What is the derivative of w(r) wrt r?
-24*r
What is the second derivative of 90*r - 24*r**3 - 5*r**4 + 12*r**3 - 28*r**3 - 24*r wrt r?
-60*r**2 - 240*r
What is the derivative of 202*n**2 - 6*n**3 - 22 - 202*n**2 + 6*n**4 wrt n?
24*n**3 - 18*n**2
Let j(r) = r + 2*r + 3 + r. Let x be j(4). Find the second derivative of 10*z + 6*z**3 + 3*z**3 - x*z**3 wrt z.
-60*z
Let w be (-8 - -7)/(2/(-6)). What is the first derivative of 0*a**w + 1 - 6 + 13*a**3 wrt a?
39*a**2
Let d(z) = -z**2 + 9*z + 29. Let t be d(11). What is the second derivative of 10*v**4 + 17*v + t*v**4 - 36*v - 4*v**4 wrt v?
156*v**2
Let q(b) be the second derivative of -19/6*b**4 + 0*b**2 + 0*b**5 + 0*b**3 - 19/10*b**6 + 32*b + 0. Find the third derivative of q(t) wrt t.
-1368*t
Suppose 6 = -5*i + 2*k, 3*k - 12 = 5*i - k. Suppose 4*m + 5 - 13 = i. Find the third derivative of h**5 - 380*h**3 + 3*h**m + 380*h**3 wrt h.
60*h**2
Suppose 3*p = -8 + 2, 4*c + 5*p = 22. What is the first derivative of -c*b**4 + 16*b**4 + 3 + 0*b**4 wrt b?
32*b**3
Suppose 0 = 4*c - b - 14, -5*c - 1 = 3*b - 27. Let w(p) = p - 1. Let d(u) = 5*u - 20. Let h(m) = c*w(m) - d(m). Find the first derivative of h(g) wrt g.
-1
Let y(s) be the second derivative of -s**7/252 + s**5/10 + s**4/3 - 11*s. Let h(p) be the third derivative of y(p). What is the derivative of h(a) wrt a?
-20*a
Find the third derivative of 34*n - 47*n - 801*n**5 - 2*n**6 - 70*n + 775*n**5 + n**2 wrt n.
-240*n**3 - 1560*n**2
Let i(z) be the second derivative of 0 - 1/3*z**4 + 19/2*z**2 + 0*z**3 - 4*z. Differentiate i(y) with respect to y.
-8*y
Let c(m) be the first derivative of m**4 - m**3 + m**2/2 + 8*m + 182. Find the second derivative of c(i) wrt i.
24*i - 6
Find the third derivative of -125*q**2 - 7*q**2 - 72*q**4 - 5 - 41*q**4 + 5 wrt q.
-2712*q
Let k(a) be the third derivative of 13*a**7/210 - a**5/30 - 143*a**4/12 + 305*a**2. Find the second derivative of k(s) wrt s.
156*s**2 - 4
Let d = 87 - 92. Let z(n) = -n**5 - n**3 + n. Let o(m) = 26*m**5 - 5*m**3 + 18*m. Let f(j) = d*z(j) + o(j). Find the second derivative of f(k) wrt k.
620*k**3
What is the derivative of 44*v + 78*v + 264 + 25*v - 22*v - 90 wrt v?
125
Suppose 3*d = -c + 4, 3 = d - c - 5. Find the second derivative of -9*m**2 - d*m - 22*m**2 + 33*m**2 - 27*m**2 wrt m.
-50
Suppose 251 = 6*i - 421. What is the third derivative of 112 + 11*c**2 - 13*c**4 - i wrt c?
-312*c
Suppose 2*d - 6 = -0*d. What is the third derivative of -4*v**6 + 12*v**2 - 21*v**2 - v**3 + v**d wrt v?
-480*v**3
Let i(p) = 16*p + 48. Let y be i(-3). Let r(m) be the first derivative of -11 + 5/4*m**4 - 5/2*m**2 + y*m**3 + 0*m. What is the second derivative of r(b) wrt b?
30*b
Suppose 2*a + 12 - 6 = 0. Let u be (a/(-5))/(15/75). What is the third derivative of 4*n**3 + 0*n**3 - 6*n**3 - 4*n**u + n**2 wrt n?
-36
What is the first derivative of -105*k**2 + 180 + 3*k - 45*k**2 + 75*k**2 wrt k?
-150*k + 3
Let y(f) be the second derivative of 128*f**7/21 + f**5/20 - 88*f**4/3 + 240*f. Find the third derivative of y(a) wrt a.
15360*a**2 + 6
Let r(n) be the second derivative of 4*n**5 - 13*n**2 - 38*n. Find the f
|
{
"pile_set_name": "DM Mathematics"
}
|
Let r = t + f. What is the remainder when 2 is divided by r?
0
Let q = -36 + 64. Let m = -1219 - -1329. Calculate the remainder when m is divided by q.
26
Let q = -255 - -295. Let i(d) = -2*d**3 - 3*d**2 + 4*d - 1. Calculate the remainder when q is divided by i(-3).
12
Suppose 181 = 2*t - 3*a, -2*t + 78 = -t - 4*a. What is the remainder when t is divided by 26?
20
Let v(k) = -6*k - 28. Calculate the remainder when 190 is divided by v(-10).
30
Suppose 4*h = -2*t + 2*h + 6, 4*t = -2*h + 22. What is the remainder when 23 is divided by t?
7
Suppose 14*a = 9*a + 220. Suppose 0 = -w - w + a. Suppose -14 = -x - 2*d, 5*x - d = d + w. Calculate the remainder when 22 is divided by x.
4
Let n(u) = -6*u + 92. What is the remainder when 81 is divided by n(8)?
37
Suppose 0 = 5*j - 9*j + 8. Suppose -2*m - 2*m + j*y + 170 = 0, -y = -m + 41. What is the remainder when m is divided by 9?
8
Suppose 0 = -14*j + 1209 + 2053. Calculate the remainder when j is divided by 59.
56
Suppose -210 = -22*n + 12*n. Suppose 0 = 2*k - 11 + 1. Suppose k*b = 2*b + n. What is the remainder when 25 is divided by b?
4
Let a(j) = 75*j**2 - j - 1. Let p = -50 + 76. What is the remainder when a(-1) is divided by p?
23
Let t = 5 - 5. Suppose -5*b + 28 = v, 4*v = -2*b - t*v + 4. Calculate the remainder when 33 is divided by 71/b - (-4)/24.
9
Suppose -5*r = -0*r - 10. Suppose -r*u + 5 = -9. What is the remainder when 10 is divided by u?
3
Let k = -136 - -141. Suppose -a = -k*a + 64. What is the remainder when 157 is divided by a?
13
Suppose -2*b + 1 + 23 = 0. Let l be b/(-9)*(-27)/3. Calculate the remainder when 51 is divided by 33/11 - (2 - l).
12
Suppose -5 = p - 9. Suppose 32 - 92 = -p*x. Suppose 4*d = 4*l + d - 291, 0 = -l + 3*d + 75. Calculate the remainder when l is divided by x.
12
Let q = -38 + 38. Suppose -5*h - 5 = -q*h, 4*h = -x + 3. Calculate the remainder when 4*((-13)/2)/(-1) is divided by x.
5
Let w = 6 + -1. Calculate the remainder when 0/50 - 17/(-1) is divided by w.
2
Let f = -103 - -159. Suppose -f = -2*u - 6*u. Calculate the remainder when 41 is divided by u.
6
Suppose 0 + 8 = 2*q. Suppose 0*n + 216 = 3*n + 3*m, q*m = -2*n + 140. What is the remainder when n is divided by 15?
14
Let n(t) = 47*t**2 + 2*t + 1. Suppose -3*y - 17 = 2*j + 2*y, 0 = j + 4*y + 13. Calculate the remainder when n(j) is divided by ((-5)/(-10))/((-1)/(-24)).
10
Let d(x) = x**3 - x**2 - 4*x - 19. What is the remainder when d(8) is divided by 57?
55
Suppose -113*y + 123*y - 120 = 0. Calculate the remainder when 174 is divided by y.
6
Let m = -42 + 74. Let u = -10 + m. Suppose -u - 14 = -3*h. Calculate the remainder when 33 is divided by h.
9
What is the remainder when 7 - (11/33)/((-2)/36) is divided by 7?
6
Suppose 3*b + 3*j + 50 = -2*j, 3*b = 5*j - 40. Let n = 135 - 51. What is the remainder when n is divided by 178/6 - (-10)/b?
26
Suppose -2*w = 3*w + 30. What is the remainder when (13*-10)/(6*2/w) is divided by 22?
21
Suppose -12*h = -13*h - 6. What is the remainder when h/9 + 1114/6 is divided by 47?
44
Suppose -5*m + 424 - 124 = -3*s, m = -2*s + 47. Let b = -35 + m. What is the remainder when b is divided by 12?
10
Let n(u) be the first derivative of -u**4/4 - 7*u**3/3 - 9*u**2/2 - u + 1. Let p = 214 + -220. What is the remainder when 49 is divided by n(p)?
15
Let b = -1184 - -1264. What is the remainder when b is divided by 2?
0
Suppose -4*v - v - 16 = -2*b, -4*v - 8 = 0. Suppose 3*l + 66 = b*i, -4*i + l = -0*i - 85. What is the remainder when 62 is divided by i?
20
Let u = -17 + 19. Suppose 0 = 3*p - 4*t - 81, 2*p - u*t = 3*p - 17. What is the remainder when p is divided by (8 - -1)/((-15)/(-20))?
11
Let y be 12/108 - (-1)/(-9). Suppose y = j - 4*q - 29, 35 = 8*j - 3*j + 2*q. Calculate the remainder when 25 is divided by j.
7
Suppose 126 = 5*w + 3*t, w - 15 = -0*w - 4*t. Let g = -8 + w. What is the remainder when g is divided by 10?
9
Let x(s) = s**2 + s - 6. What is the remainder when 143 is divided by x(5)?
23
Let n(d) = d**3 + 22*d**2 - 20*d - 239. Let w = -9 - -26. Calculate the remainder when n(-22) is divided by w.
14
Let t be 4 + (-1 - -2)*-2. Suppose t*b = -3*b + 25. Let k(s) = 7*s - 15. What is the remainder when k(b) is divided by 6?
2
Calculate the remainder when ((-22)/44)/(2/(-1656)) is divided by 57.
15
Let w(r) = 3*r + 7. Suppose 0 = -x - 5*u + 111, -2*x + 10*u + 234 = 14*u. What is the remainder when x is divided by w(6)?
21
Suppose h - 4*h + 6 = 0. Suppose 2*u = u + h. What is the remainder when 11 is divided by (-12 - 3)*u/(-5)?
5
Let x(t) = -t. Let r be 54/(-15)*10/(-4). Let z(v) = v**2 - 8*v - 7. Calculate the remainder when x(-3) is divided by z(r).
1
Let g(d) = -8*d - 19. Let f be g(-3). Suppose 3*k - a - 291 = -31, 4*a - 439 = -f*k. Calculate the remainder when k is divided by 22.
21
Let b = -59 + 60. Let u = 10 - 10. Suppose u = -0*r - r + 1. What is the remainder when r is divided by b?
0
Let x(f) = f - 16. Let w be x(18). Suppose -w*a + a = 2. Calculate the remainder when 18 is divided by a/(-3) + (-19)/(-3).
4
Suppose 762*s - 754*s - 272 = 0. Calculate the remainder when 474 is divided by s.
32
Let v(c) = 4*c - 7. Suppose 6 = 11*i - 9*i. Calculate the remainder when 9 is divided by v(i).
4
Let a be -24*(2/(-3))/2. Suppose -6 = -2*v + a. Suppose h - 2*h + v = 0. Calculate the remainder when 19 is divided by h.
5
Let s(g) = 99*g - 353. What is the remainder when s(5) is divided by 7?
2
Let f(n) = -n**3 - n**2 + 2*n - 4. Let t = 40 - 43. What is the remainder when 15 is divided by f(t)?
7
What is the remainder when 639 is divided by (-9 + -309)/((-3)/2)?
3
Suppose 75*s = 87*s - 804. What is the remainder when s is divided by 8?
3
Let u(d) = 18*d - 17. Let b(w) = w - 7. Let t be b(4). Let z be (-2 + -12)*t/6. Calculate the remainder when u(z) is divided by 28.
25
Let t(i) be the second derivative of -i**3/6 - i**2/2 + 8*i. Let v be t(-3). What is the remainder when 53 is divided by 18/(-4*v/(-4))?
8
Let h(s) = -s**3 + 8*s**2 + 2*s. Suppose -2*c - 985 + 979 = 0, -3*r - 5*c + 111 = 0. Calculate the remainder when r is divided by h(8).
10
Let s(c) = -c**2 + 4*c + 146. What is the remainder when 73 is divided by s(-9)?
15
Let t(w) = -7*w + 95. Calculate the remainder when 253 is divided by t(11).
1
Let c = 60 + -26. What is the remainder when c is divided by 6?
4
Suppose 0 = -2*p - 0 - 46. Let f = p - -78. Let r = f + -39. Calculate the remainder when 31 is divided by r.
15
Suppose -7*r = -74*r + 1742. Calculate the remainder when 376 is divided by r.
12
Let d(n) = -n**3 - 3*n**2 - 5*n + 4. Let x be d(-5). Let g = x + -66. Calculate the remainder when ((-1 - -2) + -8)*-7 is divided by g.
10
Let s be 0 - 4/(2/1). Let q = 3 - s. Calculate the remainder when (-2)/(-9) - 158/(-18) is divided by q.
4
Calculate the remainder when 1498 is divided by (6 - 12 - -25) + (0 - 4).
13
Let n(a) = -87*a**3 - 87*a**3 - 2 - 3*a + 155*a**3. Calculate the remainder when n(-1) is divided by 11.
9
Let z = -263 - -312. What is the remainder when z is divided by 27?
22
Suppose -3*c + 8 = 2. Let v(o) = -2*o**2 + 5*o + 4 + 2*o + o**2. What is the remainder when v(7) is divided by c?
0
Let m(p) = -p. What is the remainder when 2/13 + 8304/104 is divided by m(-14)?
10
Let s be (-120)/(-28) - (1 - 10/14). Suppose s*q + j - 283 = 0, 0*q + 5*j = q - 76. Calculate the remainder when q is divided by 24.
23
Suppose -3*j = 3*z - 162, 3*j + 233 + 4 = 4*z. Let c(b) = b + 13. Let n be c(-7). Calculate the remainder when z is divided by 122/n - (-5)/(-15).
17
Let t(x) = -x**3 - 10*x**2 + 11*x + 8. What is the remainder when 46 is divided by t(-11)?
6
Let n = -973 - -996. What is the remainder when 1*1*(2 - -41) is divided by n?
20
Let x = -104 - -174. Suppose 0 = -0*a - 3*a + d + 214, a + d = x. What is the remainder when a is divided by 18?
17
Let o = -36 + 76. Suppose 3*j + 626 = 4*h, -121*j - 624 = -4*h - 117*j. Calculate the remainder when h is divided by o.
38
Let c = -24 - -56. Suppose 5*j - c = 4*j. Suppose 4*l - 64 = -m - m, 5*l - 2*m = 89. What is the remainder when j is divided by l?
15
Suppose 2*d + k - 56 + 28 = 0, d + 5*k = 14. What is the remainder when d is divided by 1 - 2*-2 - -1?
2
Let p(i) = i**3 + 27*i**2 - 63*i - 12. Calculate the remainder when p(-29) is divided by 27.
25
Let u = 14
|
{
"pile_set_name": "DM Mathematics"
}
|
42848*l**4
Let h(x) = -111644*x - 1. Let i(p) = 253*p. Determine i(h(d)).
-28245932*d - 253
Let f(g) = 7*g - 2. Let y(k) = -155*k + 45. Let l(u) = -45*f(u) - 2*y(u). Let d(n) be the first derivative of -n**2/2 + 23. Calculate l(d(m)).
5*m
Let l(o) = o. Let g(r) = 488 - 60*r + 2*r**2 + 12*r + 472 - 988. Give l(g(f)).
2*f**2 - 48*f - 28
Let z(j) = j. Let h(s) = -8*s. Let q(a) = -h(a) - 5*z(a). Suppose 22*b - 6*b - 32 = 0. Let t(v) = -19*v**2 + 6*v**2 + 11*v**b. Calculate t(q(u)).
-18*u**2
Let g(u) = -7*u**2. Let o(y) = 3290*y**2 + 0*y + 0*y - 3436*y**2. Calculate o(g(q)).
-7154*q**4
Let p(k) = -16*k**2 - 56*k. Let t = 1 - -1. Let g(n) = n. Let f(q) = t*p(q) + 112*g(q). Let w(r) = r - r + 7*r - 8*r + 0*r. Give w(f(i)).
32*i**2
Let c(z) = 10*z**2. Let a = -174 - -179. Let i(v) = -3429 + a*v + 3429. Determine i(c(x)).
50*x**2
Let i(r) = 410*r**2 - r. Let f(s) = -4205*s. Give i(f(q)).
7249630250*q**2 + 4205*q
Let v(s) = 5*s**2. Let q(c) = c**2 - 14*c + 6. Let a be q(14). Suppose -9*p = -6*p - a. Let i(y) = 4*y**p + 9*y - 16*y + 7*y. What is v(i(r))?
80*r**4
Let k(f) = -91*f**2. Let v(n) = -278 + 40*n + 586 - 308. Give v(k(j)).
-3640*j**2
Let g(t) = 2*t. Let r(m) = -493*m + 6725. Give g(r(k)).
-986*k + 13450
Let w(a) = -20*a**2 - 6. Let u(j) = 19*j**2 + 5. Let p(g) = -6*u(g) - 5*w(g). Let i(v) = 1387 - 7*v + 4*v - 1387. Calculate p(i(d)).
-126*d**2
Let g(z) = -5*z**2. Let x = 6 - -1. Let f(y) = -15576 + 7789 + 7*y + 12*y**2 + 7794. Let b(n) = -11*n**2 - 6*n - 6. Let p(m) = x*b(m) + 6*f(m). What is g(p(i))?
-125*i**4
Let n(y) = 2*y. Let d(m) = 54614*m**2 + 7*m - 20. Give d(n(i)).
218456*i**2 + 14*i - 20
Let c(f) = 17*f. Let k(u) be the second derivative of -4*u**4/3 + 5*u**2/2 - 8433*u. What is k(c(g))?
-4624*g**2 + 5
Let t(g) = -2*g**2. Let p(c) = 2*c + 25. Let i be p(-11). Let y(k) = 47 + i*k**2 - 92 + 194*k**2 + 45. Calculate y(t(s)).
788*s**4
Let z(j) = 1420034*j. Let n(b) = 23*b**2. Determine z(n(u)).
32660782*u**2
Let q(m) = -3*m**2. Suppose -2*d + 2*h - 18 = -4*d, 0 = -d + 3*h + 29. Let v(a) = 13470 - 13470 - d*a. Determine q(v(k)).
-588*k**2
Let j(v) = 2506*v**2 + 74*v - 2. Let d(a) = -20*a**2. Give j(d(m)).
1002400*m**4 - 1480*m**2 - 2
Let o(q) = 4620758*q**2. Let d(j) = -4*j. Give o(d(p)).
73932128*p**2
Let q(k) = -56*k - 33. Let n be q(5). Let h = n - -454. Let x(u) = h*u + 4*u**2 - 277*u + 136*u. Let r(a) = 5*a. Give r(x(b)).
20*b**2
Let n(a) = a - 3. Let r(z) = z - 2. Let t = -200 + 203. Let m(h) = t*r(h) - 2*n(h). Let p(b) = -7*b - 1. What is m(p(i))?
-7*i - 1
Let t(s) = 1581*s**2. Let c(m) = 316 - 101 + 2*m**2 - 111 - 104. Give c(t(o)).
4999122*o**4
Let m(f) = 2*f**2 - 286*f - 2. Let l(u) = 63*u + 2. What is l(m(x))?
126*x**2 - 18018*x - 124
Let z(i) be the second derivative of i**4/4 + i**3/3 - 3*i + 84. Let u(n) = 4*n + 1. Determine u(z(g)).
12*g**2 + 8*g + 1
Let r(t) = 34 - t - 34. Let m(f) = -9*f**2 - f - 3. Let p(q) = 6*q**2 + 7*q + 21. Let h(j) = -21*m(j) - 3*p(j). Give h(r(d)).
171*d**2
Let j(h) = h + 14. Let o(g) = -15*g - 203. Let u(n) = -87*j(n) - 6*o(n). Let a(s) = -4*s - 2. Give a(u(x)).
-12*x - 2
Let x(i) = 3*i. Let g be 68/153*15/2. Let d(t) be the first derivative of -g*t**3 + 0*t + 0*t**2 - 4. What is d(x(o))?
-90*o**2
Let y(o) = 47*o. Let g be -4*55/88*14/5. Let f(v) = -4*v**2 - 4. Let x(c) = 9*c**2 + 7. Let n(k) = g*f(k) - 4*x(k). What is y(n(z))?
-376*z**2
Let u(c) = 2*c. Let g(l) be the third derivative of 35*l**5/6 + 1681*l**2. Give u(g(y)).
700*y**2
Let w(b) = b. Let z(f) = 34*f - 3. Let m(g) = -33*g + 2. Let p be (2/3)/((-17)/51). Let d(h) = p*z(h) - 3*m(h). What is w(d(o))?
31*o
Let u(t) = -1685*t + 224. Let i(x) = -11*x. Determine u(i(l)).
18535*l + 224
Let n(o) = -2*o**3 - 41*o**2 + 18*o - 34. Let v be n(-21). Let p(j) = -13 - 13 + v*j + 26. Let a(s) = 2*s. Determine p(a(t)).
58*t
Let s(l) = -945*l. Let u(x) = 140256*x. Give s(u(r)).
-132541920*r
Let i(w) = w + 39. Let u(z) = 4899001*z**2. Calculate i(u(q)).
4899001*q**2 + 39
Let h(s) = -32*s**2 + s + 639. Let l(b) = 1256*b. What is l(h(g))?
-40192*g**2 + 1256*g + 802584
Let y(r) = -4*r**2 - 1. Let h(l) = -43*l. Let w(a) = -85*a. Let c(u) = 2*h(u) - w(u). Calculate c(y(k)).
4*k**2 + 1
Let c(r) = -1099390*r**2 - 31. Let x(s) = -3*s. Calculate x(c(p)).
3298170*p**2 + 93
Let o(j) = 4*j. Let g(p) = -183 + p**2 - 220 + 404. Give g(o(f)).
16*f**2 + 1
Let r(z) = -z**2. Let t(n) = 2890*n + 5. Let x(o) = -11538*o - 21. Let m(f) = 21*t(f) + 5*x(f). Determine r(m(a)).
-9000000*a**2
Let n(y) be the first derivative of 5*y**3/3 + 93. Suppose 5 - 1 = 2*g. Let d(v) = v**g + 39 - 39. What is d(n(u))?
25*u**4
Let q(m) = m. Let s(a) = -12 + 38 - 9 - 12 - 7 + 71*a. What is q(s(c))?
71*c - 2
Suppose -2*w = 5*c - 25, -16*c = -11*c - 4*w + 5. Let h(t) = c*t - 22445 - 5*t + 22445. Let f(s) = 2*s - 8. Determine h(f(q)).
-4*q + 16
Let y(w) = 4412*w - 1992*w + 141 - 141. Let p(s) = -4*s**2. What is p(y(t))?
-23425600*t**2
Suppose 0*y - 19 = -y - 2*q, 3*q - 12 = 0. Suppose -4*z = -y - 5. Let j(l) = 3*l + 5*l - 2*l - z*l. Let f(u) = 10*u**2. Give j(f(p)).
20*p**2
Let a(j) = -10*j**2. Let w(v) = -1986866*v**2 - 2*v. Give w(a(k)).
-198686600*k**4 + 20*k**2
Let c(v) be the first derivative of 189*v**2 - v + 1579. Let m(h) = -3*h**2. Give c(m(p)).
-1134*p**2 - 1
Let c(r) = 2*r**2 - 5*r. Let j = -45 + 47. Let n(f) = 3*f**j - 24*f**2 + 7*f**2 + 11*f**2. What is c(n(a))?
18*a**4 + 15*a**2
Let y(r) = -2935*r + 0 + 2933*r + 2 + 2. Let u(i) = i - 5. Let f(q) = 4*u(q) + 5*y(q). Let w(b) = -b**2. What is w(f(n))?
-36*n**2
Let b(s) = 6*s**2. Let g(w) = -11*w + 3. Let r(z) = 24*z - 7. Let l be 3/(-2)*(210/9)/(-5). Let o(a) = l*g(a) + 3*r(a). Calculate o(b(i)).
-30*i**2
Let x(v) = -v + v + 11*v**2. Let i(m) = -2421 + 804 + 809 + 808 - 7*m. Determine i(x(f)).
-77*f**2
Let m(w) = -6 + 547*w**2 - 1 - 542*w**2. Let d(j) = 3*j**2 - 5. Let g(h) = 7*d(h) - 5*m(h). Let k(t) = 7*t. What is k(g(x))?
-28*x**2
Let g be -6*(-2)/((8/(-74))/(-1)). Let u(y) = -4*y + 57 + 54 - g + 0*y. Let z(c) = -2*c - 8. What is u(z(q))?
8*q + 32
Let u(y) = -2*y**2. Let b = 257 + -257. Let g(d) be the first derivative of 35/3*d**3 + 0*d**2 - 22 + b*d. Give u(g(q)).
-2450*q**4
Let l(x) = -x + 183 - 141 - 204. Let w(z) = 114*z**2 - 335*z**2 + 113*z**2 + 106*z**2. Determine w(l(m)).
-2*m**2 - 648*m - 52488
Let r(a) = a**2 - 11555798*a. Let v(s) = -10*s**2. Calculate r(v(b)).
100*b**4 + 115557980*b**2
Let i(k) = 22*k. Let h(p) = 48546*p**2 + 2*p. What is i(h(s))?
1068012*s**2 + 44*s
Let k(j) be the third derivative of 0 + 11*j**2 + 0*j**4 + 0*j + 0*j**3 + 1/60*j**5. Let w(y) = -6*y. Determine w(k(c)).
-6*c**2
Let i(v) = -47*v - 11*v + 27*v + 20*v. Let l(x) = -3*x**2 - 84*x. Determine l(i(c)).
-363*c**2 + 924*c
Let n(y) = 20*y**2 + 6. Let g(q) be the second derivative of q**3 + 5671*q. Give g(n(c)).
120*c**2 + 36
Let b(l) = 1804*l - 122. Let w(x) = 601*x - 46. Let c(s) = -3*b(s) + 8*w(s). Let i(j) = -7*j**2. Determine i(c(t)).
-2553712*t**2 - 16912*t - 28
Let p(w) = 3436396*w. Let h(z) = -2*z. Give p(h(i)).
-6872792*i
Let f(i) = -2*i**2 + 151*i + 3. Let x(r) = -2*r**2 + 120. What is f(x(l))?
-8*l**4 + 658*l**2 - 10677
Let j(a) = -a**3 - 2*a**2 + 4*a + 29. Let m be j(0). Let o(h) = -m*h**2 - 2*h + 92*h**2 - 24*h**2 - 33*h**2. Let t(g) = -2*g. What is o(t(f))?
24*f**2 + 4*f
Suppose -55*d + 53*d = 2, 3*p = -3*d. Let z(s) = -s**2 - 2*s - 2. Let v(w) = w + 1. Let r(h) = p*z(h) + 2*v(h). Let n(x) = 4*x - 2. Determine n(r(c)).
-4*c**2 - 2
Let i(j) = 2108840 - 2108840 + j - 2*j. Let r(t) = -4651*t. What is r(i(a))?
4651*a
Let k(i) be the first derivative of -6*i**3 - 1. Let v(f) be the second derivative of -5*f**4/12 + 7*f - 205. Give k(v(c)).
-450*c**4
Let c(n) = 13433292*n. Let m(i) = -2*i. Calculate m(c(s)).
-26866584*s
Let m(x) = x**2. Let a(d) = 13*d + 17. Let q be -102*6/96 - 6/(-16). Let v(w) = 38*w + 48. Let f(l) = q*v(l) + 17*a(l). Determine f(m(p)).
-7*p**2 + 1
Let u(c) be the third derivative of -3*c**5/20 - 5892*c**2. Let n(j) = 7*j + 97. Calculate n(u(d)).
-63*d**2 + 97
Let t(y) = -2*y**2 - 69. Suppose 4*l - 30 = -11*l. Let h(k) = 0 + 0 - 13*k**l + 14*k**2. Determine t(h(o)).
-2*o**4 - 69
Let a be (14 - -3)*(-3 + 8). Let p(y) = -a*y + 42*y + 43*y - 31*y**2. Let n(x) = -5*x. Give n(p(o)).
155*o**2
Let m(c) = 199*c**2. Let j(z) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
159*a - 29*a = -7385 + 2497 for a.
26
Solve -257*i + 146*i + 144 = -119*i for i.
-18
Solve -8097*u + 2326*u = -717071 + 36093 for u.
118
Solve 5941 - 2968 = -77*i + 2973 for i.
0
Solve -518*z = -107*z - 71*z + 326*z + 39294 for z.
-59
Solve 150*a + 468*a - 186*a + 230*a = -52298 for a.
-79
Solve 4620 - 35079 = 781*f for f.
-39
Solve -173*z = -1202*z + 26001 + 82176 - 10422 for z.
95
Solve -3425*i + 1528*i + 22285 = 2805*i - 231623 for i.
54
Solve 2889*f - 234624 = -678*f + 559*f for f.
78
Solve 151149 = -4313*m - 55875 for m.
-48
Solve 0 = -121*l + 4327 - 2875 for l.
12
Solve 34*w - 2848 + 3086 = 0 for w.
-7
Solve 125697 = 3112*g + 697*g for g.
33
Solve 73*g + 15*g + 405 = -77*g - 3390 for g.
-23
Solve 949*z + 17691 - 63951 = -593*z for z.
30
Solve -112*j + 7362 = -5518 for j.
115
Solve -2857*b + 2758*b + 3974 = -4639 for b.
87
Solve -246188 - 252268 = 4299*o + 2846*o - 162641 for o.
-47
Solve 0*y + 29*y = 26*y - 72*y - 3075 for y.
-41
Solve 1113*a = 702*a + 680*a - 8608 for a.
32
Solve 3020 - 1145 = 434*y - 955 - 1510 for y.
10
Solve 0 = -14358*a + 14482*a - 2108 for a.
17
Solve 353*q - 2692 - 3385 + 782 = 0 for q.
15
Solve -264*z = 36*z + 12542 + 658 for z.
-44
Solve -1653*p = 934*p + 28289 - 129182 for p.
39
Solve 7*t - 136 = -284 - 251 for t.
-57
Solve 508 + 167 + 84 = 11*u - 33 for u.
72
Solve -131834 + 16157 - 81911 = -2102*m for m.
94
Solve 1078*l - 180 - 203 = -3617 for l.
-3
Solve 0 = -914*z - 25125 - 16919 for z.
-46
Solve -1520*n + 747*n = -753*n + 86 + 254 for n.
-17
Solve -139*b - 67*b = 535*b + 173*b for b.
0
Solve 1586*y + 27343 + 78633 - 15574 = 0 for y.
-57
Solve -15*b - 82*b - 3498 + 1008 = -14*b for b.
-30
Solve -33061*o + 34079*o - 30540 = 0 for o.
30
Solve 1467*s + 230*s + 489*s - 93998 = 0 for s.
43
Solve -4465 = 12338*m - 12491*m - 21907 for m.
-114
Solve -605*r + 980 = -577*r for r.
35
Solve 0 = 3257*y - 76394 - 61377 + 80763 - 89557 for y.
45
Solve 55*c - 23*c = -149 - 2059 for c.
-69
Solve 2098*c = 234*c - 39647 - 51689 for c.
-49
Solve 721*r = 207*r + 238*r + 244*r + 1792 for r.
56
Solve -21806*l + 21767*l = 271 + 4370 for l.
-119
Solve 4*x - 373 + 825 = -9*x + 920 for x.
36
Solve -118*l = -23*l - 82*l - 416 for l.
32
Solve 0 = -729*c + 2218*c - 38714 for c.
26
Solve -38*h + 784 + 2411 = 33*h for h.
45
Solve 587 + 55361 = 423*k + 294*k + 71*k for k.
71
Solve -3894 + 19343 = 559*x - 2243 - 4668 for x.
40
Solve 599*l = 1050*l - 563*l - 4675 - 365 for l.
-45
Solve 54720 = -6790*j + 903470 for j.
125
Solve -2*o - 39126 = 4*o + 2*o - 38902 for o.
-28
Solve 10412 + 18255 + 23635 = 2126*r + 148*r for r.
23
Solve 0 = 89*k - 3951749 + 3955309 for k.
-40
Solve -277*s = -36*s - 2651 for s.
11
Solve -140*h = -21*h + 62*h - 3982 for h.
22
Solve 22454*z + 14696 = 22120*z for z.
-44
Solve 16440*n - 8200 = 16340*n for n.
82
Solve -4*f + f + 34*f + 2296 = -51*f for f.
-28
Solve -11313*w + 127251 + 47424 = 332*w for w.
15
Solve 2800*o - 3746*o - 9165 = 6671 + 5922 for o.
-23
Solve -3978 = 22209*o - 11144*o - 11218*o for o.
26
Solve 52*z + 145*z - 30*z - 9976 = -177*z for z.
29
Solve -14*s - 69*s - 1631 - 3459 + 1687 = 0 for s.
-41
Solve -19958*j + 375 = -19953*j for j.
75
Solve -513*q + 257*q + 494 = -243*q for q.
38
Solve -6*j = -56*j - 24*j + 6306 - 2458 for j.
52
Solve 0 = 135*u + 258*u + 36*u + 160*u - 26505 for u.
45
Solve -6144765*m = -6144688*m - 1694 for m.
22
Solve 0 = -13*n - 40*n + 2427 - 4384 - 1011 for n.
-56
Solve -680*y + 7927 + 4046 = 30083 + 40370 for y.
-86
Solve -56*b - 64562 + 63778 = 0 for b.
-14
Solve -184169 = 75*j - 181994 for j.
-29
Solve 161*x - 67*x + 451 = 73*x + 31 for x.
-20
Solve -12*b - 100 + 424 = 24*b for b.
9
Solve -19*n + 130 = -83*n + 1474 for n.
21
Solve -1314 = -120*c - 3234 for c.
-16
Solve 3382*r = 2904*r + 34486 + 44892 - 12936 for r.
139
Solve -27396*n = -54755*n + 27396*n + 1480 for n.
-40
Solve -1719255 = 16207*p + 387655 for p.
-130
Solve 0 = -6494*i + 337079 - 12379 for i.
50
Solve 0 = 2296*m - 32963 - 77245 for m.
48
Solve -1776 = -1572*w + 1620*w for w.
-37
Solve 11333*c = -82981 + 989621 for c.
80
Solve -46649*a + 48753*a = -153592 for a.
-73
Solve 0 = 146*j + 946*j - 27300 for j.
25
Solve -39553 = 18509*f - 19578*f for f.
37
Solve 206 - 93 = -465*k + 121*k - 575 for k.
-2
Solve -8613 = 913*l - 594*l for l.
-27
Solve -7111*m = -8762*m + 234442 for m.
142
Solve 1661*b - 16243 + 28727 = -47312 for b.
-36
Solve 767*i + 2504*i + 550*i + 44664 = 99*i for i.
-12
Solve -2980*f = -2910*f + 420 for f.
-6
Solve 19*m + 912 + 980 = 1113 for m.
-41
Solve -64617 - 32816 = -5531*d + 5263 + 52172 for d.
28
Solve 1926*c - 2203 = -15685 for c.
-7
Solve 7797*r - 623884 = 92*r - 504*r for r.
76
Solve 0 = -5133*h + 4868 + 164521 for h.
33
Solve -51*u + 186*u = 116*u + 101*u + 6150 for u.
-75
Solve -839*u = 989*u + 417*u + 6735 for u.
-3
Solve -46*q - 10 = -43*q + 23 for q.
-11
Solve -128*l + 221*l - 43855 = -398*l - 404*l for l.
49
Solve 1482 = -37429*b + 37315*b for b.
-13
Solve 190*c + 187*c + 1 - 41 = 373*c for c.
10
Solve -2274 = -213*l - 4149 - 8775 for l.
-50
Solve -7905*v + 10152 = -7764*v for v.
72
Solve -27262 = -559*t - 4902 for t.
40
Solve -847*q + 190*q + 11075 = -2534 + 469 for q.
20
Solve 1073*s = -2333*s + 150*s - 168654 - 3914 for s.
-53
Solve 683*g = -628*g - 559*g + 437*g + 75949 for g.
53
Solve 17*b + 138*b - 298 + 6963 = 0 for b.
-43
Solve -5976*d = 6099*d - 11645*d - 26660 for d.
62
Solve -12002*y - 186796 = 328325 + 96981 for y.
-51
Solve 448*f + 11935 = 145*f + 38296 for f.
87
Solve 0 = 18789*a - 18829*a - 320 for a.
-8
Solve 1468*v + 12257 = 10789 for v.
-1
Solve 786 + 556 = 56*s - 466 - 1048 for s.
51
Solve 10441*i - 10391*i = 250 for i.
5
Solve 0 = 3952*y + 6267 - 2315 for y.
-1
Solve 0 = -350*y + 714*y - 17836 for y.
49
Solve 222*w + 5532 = -198*w - 13769 + 5441 for w.
-33
Solve -247*p + 2192675 = 2184277 for p.
34
Solve 1992 = 2357*k - 2191*k for k.
12
Solve 1908*i - 200781 = -1808*i - 5845*i for i.
21
Solve 1353*y - 12667 = 10334 for y.
17
Solve 45*y = -34317 + 32787 for y.
-34
Solve 2271*t - 2365*t = -1692 for t.
18
Solve 83*o - 3149 + 2319 = 0 for o.
10
Solve -1174*g + 491 = -42376 - 8789 for g.
44
Solve -103*o - 18524 = 233*o + 506*o for o.
-22
Solve 0 = -9*m + 493*m + 19113 - 7497 for m.
-24
Solve -150*r + 131*r + 24496 = -343*r + 2464 for r.
-68
Solve 3211*i - 353942 = -4028*i - 28187 for i.
45
Solve 8934*q + 12178*q = -2807896 for q.
-133
Solve 33*b - 272*b - 4000 = 1989 + 3093 for b.
-38
Solve 1117405*l - 11655 = 1117602*l + 1741 for l.
-68
Solve 5*j - 850 = 28*j - 5*j - j for j.
-50
Solve -2567*z + 1219 = -21884 for z.
9
Solve 63*m + 1772 = -75*m + 10604 for m.
64
Solve 1072 = 92*s - 124*s - 35*s for s.
-16
Solve 0 = -8720*b - 140981 - 85956 - 392183 for b.
-71
Solve 29*d + 13600 = -183*d - 119*d - 69*d for d.
-34
Solve 194*u - 135*u - 345 + 1140 = 8819 for u.
136
Solve 2008*d - 209*d = 263*d + 441*d - 64605 for d.
-59
Solve 133*h - 46*h + 73*h = -8960 for h.
-56
Solve -71695*s - 648 = -71614*s for s.
-8
Solve 0 = -141*l - 284*l - 4543 - 6082 for l.
-25
Solve -3611*m - 263803 = 6184*m - 112819 + 417126 for m.
-58
Solve 282942 = -2464*r + 42838 + 3560 for r.
-96
Solve 288*l + 9520 + 3152 = 0 for l.
-44
Solve -445*w + 5839 + 21377 - 3451 = 40*w for w.
49
Solve 946 = -584*y - 913 - 3397 for y.
-9
Solve 870 = -304*f - 650 for f.
-5
Solve -929 + 987 = -81*h - 2048 for h.
-26
Solve 3075 = 151*y - 3418 for y.
43
Solve 676*f - 633*f = -860 for f.
-20
Solve -202*y - 175*y + 333*y = 1276 for y.
-29
Solve 87*t - 61718 + 18311 = 2501*t + 2409*t for t.
-9
Solve 650*h + 11231 + 22871 = -1462*h + 106*h for h.
-17
Solve -21*d + 761 + 289 = 4*d for d.
42
Solve -16146 + 186 = -280*t for t.
57
Solve 0 = 407*k - 121601 + 139916 for k.
-45
Solve -277*r + 5694 = -12428 - 7875 + 790 for r.
91
Solve 0 = 369*f - 2293 - 749 + 90 for f.
8
Solve -13278*s + 252467 + 361885 = 277930 - 765652 for s.
83
Solve -464*r + 808*r = -265*r - 28623 for r.
-47
Solve -92*u - 1143 + 375 = -28*u for u.
-12
Solve -461*v - v + 1614 = -4392 for v.
13
Solve 100*z - 2326 + 11649 = 4623 for z.
-47
Solve -7136 - 10926 = -1231*c + 2865 for c.
17
Solve -39*t - 1988 = -2378 for t.
10
Solve -41006*z - 1978 = -40963*z for z.
-46
Solve 7*s - 452991 + 454799 = -12*s + 3*s for s.
-113
Solve -499*o = -624*o + 3947*o - 11466
|
{
"pile_set_name": "DM Mathematics"
}
|
. Solve i = 8*v - 3*v + 14, g = 4*i + 5*v for i.
4
Suppose z = -2*g + 61, -4*g + 4*z = 44 - 160. Solve 0*r = b + 5*r - 15, -g = -4*b - 5*r for b.
5
Let t(m) = m**3 - 12*m**2 - 41*m - 40. Let g be t(15). Solve 5*b - 5*w = 0, 2*b = -0*b - 2*w - g for b.
-5
Suppose 6 = -4*p + 26. Let f(o) = 7*o - 10. Let r be f(2). Let a be 0/(-2)*(-2)/2. Solve -2*n + 4*n + 11 = -p*g, n - r*g - 1 = a for n.
-3
Suppose 0 = 3*s - 5*s - 12. Let o be s/(-39) + 48/26. Solve 18 = o*a - 4*q, -a - 2*a = q - 13 for a.
5
Suppose 45 = 2*y + 13. Solve 3*n + y = -3*x - n, 5*x - 20 = 5*n for x.
0
Let m(b) = -2*b - 1. Let h be m(-2). Suppose -k - 15 = -2*w + 2*k, 4 = -4*k. Solve -2*t = -6*r + r + 7, w = h*t - 2*r for t.
4
Let t be 10/(-8)*(-5)/(5/(-44)). Let g be (-8)/(-32) + 2 + t/(-4). Solve 0 = d - 4*m + g, -4*m + 28 = 2*d - 0*d for d.
4
Suppose -2*f + 0*f = -8. Suppose 0 = 2*n + f - 8. Suppose 4*t = 3*d - 6, 4*d + n*t - 8 = t. Solve -10 = -d*v - 4*k, -11 = 2*v - 5*k + 15 for v.
-3
Let y = 181 + -176. Solve 5*m = 5*i, 4 = 2*m + i - y*i for m.
-2
Suppose -4*i + 2*d + 234 = 0, -i - d + 76 = 25. Let f = i - 55. Let r(k) = -k**3 - 5*k**2 + 5*k. Let o be r(-6). Solve -2*w + o = 3*n + f, -n = 3*w - 11 for n.
-1
Let b be (14/6)/((-70)/(-90)). Solve -3*l - b*a = 18, 0 = l + 3*a + 7 + 3 for l.
-4
Let c be (-27)/(-54) + (-14)/(-4). Solve 1 = -u - 3*m, -2*u - 4 = -c*m - 2 for u.
-1
Let p(y) = 5*y - 9. Let c be p(3). Let d be (0/3)/(c/3). Solve -q - 3*s = d, 5*s - 9 = -5*q + 1 for q.
3
Let o = -465 - -458. Let u(g) be the first derivative of -g**4/4 - 2*g**3 + 3*g**2 - g - 1. Let y be u(o). Solve -3*a + 10 = -p, 4*p = y*a - a - 5 for p.
5
Let f(o) = -2*o - 13. Let i(y) = -25*y - 26 + 0 + 21*y + 0. Let h(a) = 5*f(a) - 2*i(a). Let u be h(-8). Solve 0 = -z + u, -3*n - 5*z + 21 = -n for n.
3
Suppose -j + 5*i = -2, 2*i = -2*j + 5 - 1. Solve -5*w - 5 = -5*z, j*z - 6*z - 2*w - 20 = 0 for z.
-3
Suppose -99*n = -699 - 192. Suppose b = 5*d + 15, -3*b + 1 = 5*d - 4. Solve 4*c + 5 = 3*l, -n = b*l + 4*c + 4 for l.
-1
Let x be (-1304)/(-264) + 18/297. Solve -3*g = -4*g - 4*j - 24, j + x = 0 for g.
-4
Let u(v) = 5*v - 3. Let k be u(3). Suppose 3*t = -k, 3*s + 0 = -2*t + 1. Suppose -10 + 1 = -s*h. Solve 5*r + 3*m = 24, -r + m + 9 = h*r for r.
3
Let h(w) = 16*w + 20. Let y be h(4). Let r = y - 80. Solve -4*x - 8 = -4*k, r*k - 5*x - 9 = 3 for k.
-2
Suppose 8*f - 10*f + 10 = 0. Solve 3*p = t + 3*t, f*p = -5*t for t.
0
Let m be (8/(-6) - 220/60)*-1. Solve -4*s + 12 = 0, 4*n + 2*s + 1 = m*s for n.
2
Suppose -4*u + 6*u + 4*p = -6, -2*u - 3 = 3*p. Suppose -a - 17 = -3*q - 3*a, -u*q = -a - 5. Solve 4*w + 2*h - q = 3, 0 = 4*h + 20 for w.
4
Suppose k + 5*k = -11*k. Solve -1 = v + 3, k = 5*c - 4*v - 21 for c.
1
Suppose 5*u + 6*o = o + 45, 2*u - 19 = -o. Suppose -17 = 3*r + u. Let i = 13 + r. Solve 36 = 4*a + 5*k, -4*a - 2*k = -5*k - i for a.
4
Let h be 3/(-3) - (1 - 2). Suppose b = 4*b + 4*x - 28, -2*x + 22 = 2*b. Let t be (b/(-10))/(28/(-70)). Solve -3*p - 12 = t*o, h*p - p - 4 = 2*o for o.
0
Suppose -46*f + 605 = -51*f. Let v = 125 + f. Solve -8 = v*h + 4*p + 12, -13 = 5*h + 2*p for h.
-1
Let x = 7 - 5. Let b = 191 + -65. Let j = -124 + b. Solve -2*r = 4*g - 8, -4*g = 3*r + x*r - j for g.
3
Let w = -1151 + 1156. Solve -5*c - 7 = h - 0*h, -w*h - 15 = 5*c for c.
-1
Let z(d) = -d**3 - 6*d**2 - 7*d - 7. Let p be z(-5). Solve -5*s + n + 2 = -5, -3*s + 15 = p*n for s.
2
Suppose -13*u + 24*u - 561 = 0. Let t = u + -48. Solve -3*h = 5*p + 14, -t*p + 2*h + 2*h = 20 for p.
-4
Let h(s) = 2*s**2 - 14*s - 3. Let v be h(7). Let a(m) = m**3 + 2*m**2 - 5*m - 4. Let l be a(v). Solve 0 = -y + l*t - t + 5, y - 14 = 4*t for y.
2
Let y(c) be the second derivative of -c**3/6 + c**2/2 + 4*c. Let d be y(-3). Suppose -d*n = -7*n + 6. Solve 10 = -5*t + 5*k, 2*t + n*k = 6*t + 14 for t.
-5
Suppose 4*j = -3*q + 144, -180 = -5*j - 15*q + 13*q. Solve -2*k - j = 4*p - 6, -2*k - 35 = 5*p for p.
-5
Suppose -35 = -5*o - 0. Suppose -o*i + 10*i - 6 = 0. Solve 0 = -5*a + i*d + 9, 2*d - 21 = -a - 4*a for a.
3
Suppose -7 - 3 = -5*f. Let z be ((-3)/12*-1)/(4/48). Solve 0 = -2*k - 3*r - 6, f*r + 6 = -z*k + 2 for k.
0
Suppose -27 - 105 = -4*u. Let r = u - 31. Suppose 5*k + 14 = -h - h, r*k = -2*h - 2. Solve 4 = h*n - 4*v, n + n + v - 10 = 0 for n.
4
Let l = 159 - 119. Solve -2*k + 7 = 3*d - k, 5*d - 4*k = l for d.
4
Let u be (-30)/55 - (600/(-33))/4. Let p = -6 + 11. Let o(w) = -w + 5. Let k be o(p). Solve 0 = -u*x - 2*r + 26, -2*x - 3*r = -k*r - 23 for x.
4
Let c = -2 + 4. Let r(a) = -a - 5. Let k be r(-8). Solve z - 4*o + 3 = -c*o, -z + k*o = 4 for z.
-1
Let u(f) = f - 6. Let o be u(13). Let x be o + (-4 - -2) + 1. Suppose 0 = t - x*t + 10. Solve 4 = t*y + 2*m, -y + 4*y - 8 = -4*m for y.
0
Let o(c) = c**2 + 17*c - 136. Let a be o(6). Solve 0 = b + a, 0 = -2*u - b - b - 2 for u.
1
Let y = -12 - -14. Suppose -4*a = 12, -8*l + 3*a = -3*l - 29. Suppose 2*m - l*h = 0, -m + 8 = h - 1. Solve q - m = y*k - 0*q, -4*k - 3*q - 32 = 0 for k.
-5
Suppose 6*i - 9 = -3. Let r be (0/(-6))/(3 - i). Solve -2*j - 5*q - 14 = -j, -q - 2 = r for j.
-4
Let s(k) = -26*k - 32. Let d be s(-6). Suppose -13*m + 136 = -d. Solve 4*c = m, b + 3*c - 11 = -b for b.
-2
Let d be 6/2*18/(13 + 5). Suppose 0 = 3*g - 0*g - 12. Solve 0 = i - g*z - 19, -4*i + 5*z - d*z = -20 for i.
3
Let q(z) be the second derivative of -z**3/6 - 9*z**2/2 - 10*z. Let k be q(-11). Solve 0*n = 2*n - k*y, -y = 4*n - 20 for n.
4
Let n(z) = -z**3 + 6*z**2 - 5*z + 34. Let y be n(6). Suppose 2*b - 52 = -48. Solve -y*x + p + 5 = -b, -x + 1 = -p for x.
2
Let r(u) = -8*u + 40. Let h be r(16). Let l = h + 90. Solve 0 = -2*k - l*n + 7*n - 1, k = 3*n for k.
-3
Let z be (-1 - 4 - 1)*1. Let w = z + 8. Solve -y - 10 = -2*x + 2*y, 5 = x - w*y for x.
5
Suppose 8*s = s - s. Solve -2*r = 4*a - s*r + 12, 2*r + 7 = -3*a for a.
-5
Suppose -211 = -5*o + 3*m - 687, 4*o = -m - 374. Let i = o - -97. Solve 4*g - 2*s = 0, -i*s + 14 = -0*g + g for g.
2
Let l(d) = -8*d + 10. Let x be l(1). Solve 2*c - 5*w = 0, -x*w + 0*w + 16 = -4*c for c.
-5
Let p = 282 - 272. Solve -n - 3*y - p = 0, -3*n - 5*y - 19 = n for n.
-1
Let z be (1/(-6))/((170/300)/(-17)). Solve -z*a + 12 = 3*g, g = -0*a + 4*a + 4 for a.
0
Let q be 55/10 - (-2)/(-4). Suppose o - 6 = -q*g + 6, o - 10 = -4*g. Suppose o*b + b - 30 = 0. Solve -3*a - 2*a - 10 = p, -5*a - b = 2*p for a.
-2
Let s(b) = -b**3 + 20*b**2 - 98*b - 7. Let w be s(9). Solve 21 = -2*g - 5*u, -2*g + 4*u - w + 8 = 0 for g.
-3
Suppose 110 = 22*s - 11*s. Solve 4*z + 2*y + 6 = -s, 4 = -y for z.
-2
Let k be 10/(-45) + (-2)/(-9). Suppose k = -0*j - 2*j + 3*p + 31, -2*p = -2. Solve x = 5*s - j, -26 = -5*s - 2*x - 0 for s.
4
Let s(d) = 3*d**2 - d + 1. Let j be s(-2). Let x be (2 - 1)/(((-5)/(-2))/5). Solve -q = 2*y - 5, -x*q - q = j for y.
5
Let f be 242/44 + 3/(-2). Solve 5*u - 7 = -w, w - f*u + 11 = -0*w for w.
-3
Suppose -f - 4*x = -6*f - 8, -5*f = -2*x + 4. Solve -3*s - 9 = f, 3*u - 2*s - 6 = -s for u.
1
Suppose 0 = 5*c - 2*p - 221, -4*c + p = -c - 132. Let s = c - 38. Solve 0 = 3*o + m + 12, -o + 3 = -s*m + 23 for o.
-5
Suppose 27*f = 19*f - 192. Let v = -23 - f. Solve p - 18 = -4*c, 4*c - 13 = -4*p - v for c.
5
Suppose 44*m = 6*m + 190. Solve -3*v - 8 = r, m*v - 1 = -2*r - 16 for r.
-5
Let a(l) = -l**3 - 16*l**2 - 35*l - 93. Let c be a(-14). Solve -5*d + 15 = 0, 0*d - 21 = -c*z - 2*d for z.
3
Let w = -1705 + 1721. Solve 3*v - 2*k + 20 = w, 5*v + 2*k = 20 for v.
2
Let o(b) = 2*b**2 - b + 4. Let k be o(0). Let c = 468 - 463. Solve k*r + 5 = s, -3*s - c*r = -0*s + 19 for s.
-3
Suppose -15*g = -14*g + 4*p - 5, 4*g - 2*p - 20 = 0. Solve 0 = d + 4*i + 6, 6*d = 2*d + g*i + 18 for d.
2
Let r(c) = c**3 + 9*c**2 + c + 9. Let v be r(-9). Suppose -2*m = -d + 1, -d + 2 + 3 = v. Solve 14 = -s + m*b - 6*b, -5*s + b = -14 for s.
2
Let m(o) = -3*o**2 - 77*o + 45. Let n be m(-26). Let p(s) = -s**2 - 12*s - 11. Let z be p(-11). Solve z = d + 2*v + 7, -2*d - 3*d - 2*v = n for d.
-3
Suppose s - 2 = 3*c, 3*c - 6 + 10 = 2*s. Solve 0 = -5*o + 5*l - 11 + 31, -s*l = o + 8 for o.
0
Let r be 2/(2/5) + -2. Let y(s) = -s**2 - 5*s - 4. Let v be y(-3). Let c be (-38)/(-10) - (-2)/10. Solve 0*o + 10 = v*a - c*o, 4*a + 2 = -r*o for a.
1
Suppose 0 = -24*n + 200 + 40. Let p be (0 - -4) + (-2)/1. Solve j + p*v = -n, 4*j + 6 = -v - 6 for j.
-2
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
/(0 - 4)). Let z be (-2)/(f*(-4)/(-32)). Solve -5*u - z = -u for u.
-4
Let k(m) = -m. Let l be k(-2). Let u be 165/45 - l/(-6). Solve 0*g - u*g = 0 for g.
0
Let c = 31 + -28. Solve -c*n + 1 = 4 for n.
-1
Suppose 0*v + 3*v + 98 = 5*d, -3*d = v - 70. Suppose 0 = -d*r + 7*r + 45. Solve 0 = y + r*y + 8 for y.
-2
Let l be 30/(-9)*36/(-15). Suppose 2*s - 32 + l = 0. Solve g + 2*g - s = 0 for g.
4
Let d(h) = 37*h + 298. Let y be d(-8). Solve -3*c + 1 = -y for c.
1
Suppose 0 = 3*r - b - 9 - 7, 4*r = 2*b + 20. Solve -6*z + 18 = -r for z.
4
Let b(y) = -y**3 - 10*y**2 + 117*y + 18. Let h be b(7). Suppose -3*f + 2 + 1 = 0. Solve h*l - f = 3 for l.
1
Let f = 565 + -565. Solve 8*d + 0 + 0 = f for d.
0
Suppose 8*w - 310 = 13*w. Let z = w + 67. Solve n = -0 + z for n.
5
Suppose 2*k + 0*o = 3*o + 20, k - 10 = -2*o. Let r be 3/((6/24)/((-1)/(-6))). Suppose -t + 10 = -3*i, -r*i + k = 3*t - 9. Solve t*h - 20 = 2*h for h.
4
Let n(f) = -f**2 - 8*f + 14. Let b be (6 - 7)/(1/10). Let l be n(b). Let w be l/4*12/(-9). Solve 7 = w*g - 3 for g.
5
Suppose -11 - 4 = -5*q. Suppose 0 = 4*o - 4*y - 56, q*y - 5*y + 42 = 5*o. Suppose -g - 3*g + 5*s + 33 = 0, 25 = 5*g - 3*s. Solve o = -g*f - 3*f for f.
-2
Let u be (20/(-5))/(1/4*-2). Solve -3*b = 1 + u for b.
-3
Suppose -104*d + 102*d = 4. Suppose 0 = f, -4 - 26 = -2*a - 3*f. Let k be d/a - (-10)/75. Solve k = 3*r - 5*r for r.
0
Let n(i) be the first derivative of -3*i**4/4 - i**2/2 - i - 6. Let a be n(-1). Suppose 0 = -3*s, -4*j = a*s - 10 + 2. Solve 0 = -j*o - 0 + 2 for o.
1
Suppose -3*x + 9*x = -6*x. Solve x - 2 = o for o.
-2
Let b be -4 - -2 - -2*(3 + -33). Let c = -57 - b. Let r = 0 + 4. Solve 11 = c*k - r for k.
3
Let y(v) be the second derivative of -v**3/6 + 21*v**2/2 + 8*v. Let s be y(7). Solve -4*w = -s - 6 for w.
5
Suppose 0 = p + 1, 5*q = -5*p + p + 26. Suppose q*t - 6 = -6. Solve 4*r + t*r = -16 for r.
-4
Let j = 40 + -38. Suppose -p = 2*p + 3, -j*x - 5*p = -5. Solve 15 = -x*r - 5 for r.
-4
Suppose -5*c + 8*c - 2*v - 27 = 0, 5*v = -c + 26. Solve -c*m + 68 = 6*m for m.
4
Let u = -120 - -125. Solve 0 = -25*k + 20*k - u for k.
-1
Suppose w - 4 + 1 = 0. Suppose -5*p + 2*a = -133, w*p - 2*a - 67 = -4*a. Solve 0 = q - 6*q + p for q.
5
Suppose -3*t + 2*u + 11 = -0*u, 16 = 2*t + 3*u. Solve -6*r - 3 = -t*r for r.
-3
Let c be (-260)/(-8) - 2/(-4). Suppose 0 = d + 13 - c. Suppose 9*j - 4*j = d. Solve -j*f + 2 = 14 for f.
-3
Let x(r) = r**3 - 3*r**2 - 3*r. Suppose 0 = 3*s - 9, 5*s - 4 = u + 7. Let k be x(u). Suppose -6 = i - k*i. Solve t + 5 - i = 0 for t.
-3
Let o be ((-1)/(-2))/((-5)/(-40)). Let x be 15/12*o/1. Let s = x + -3. Solve 7 = s*w - 1 for w.
4
Let a(h) = h**2 + 13*h - 20. Let p be a(-14). Let y be (-14)/p - (-6)/9. Solve 0 = 2*f + y*f + 10 for f.
-2
Let o = -6 + 5. Let y(l) = -1 - 2*l - 6 + 2*l**2 + 6 + 0. Let d be y(o). Solve -p = d*p - 4 for p.
1
Let f be 2/(-8) + 5/20. Suppose b + f + 1 = 4*r, 3*r - 5*b = 5. Let l = -11 - -14. Solve -s - 6 + l = r for s.
-3
Suppose 2*p = 6*p + 56. Let c = 19 + p. Suppose -d + c*d - 12 = 0. Solve 0 = 2*z - d - 7 for z.
5
Let o(p) = -p**2 - 9*p - 9. Let q be o(-6). Suppose -34 + 124 = 18*m. Suppose -q = -f + z - 4, -2*z = m*f - 11. Solve 7 + f = -2*t for t.
-5
Let o be (0/1)/(6 - (-3 - -8)). Suppose 2*k = s + 8, k - s + o*s = 3. Solve -5 = k*x + 5 for x.
-2
Let a be -1*(1 - 2) + 17. Let t(n) = 2*n - n**2 + 2*n**2 - 3 + 0*n**2. Let w be t(2). Solve 7 = w*l - a for l.
5
Let v(h) = -2*h - 3. Let a be v(-7). Let p = -11 + a. Solve -2*y + p*y = -8 for y.
4
Suppose 131 = 4*n + 51. Solve -n*x = -22*x - 2 for x.
-1
Let q(o) = -o**2 + 11*o - 2. Let y be q(9). Let d = y - 12. Suppose 0 = d*m - 0 - 8. Solve 0 = 4*p - 3*p + m for p.
-2
Let c(j) = -4*j**2 + 11*j + 5. Let a(b) = -b**2 + b + 1. Let q(z) = -5*a(z) + c(z). Let x be ((1 - 0) + -2)*7. Let m be q(x). Solve -4*i + m*i = 15 for i.
5
Let a be 440/45 - (-4)/18. Suppose h + 5 = a. Suppose -5*k - h*d + 35 = 0, -4*d + 9 = -4*k - 3. Solve k*b + b = 0 for b.
0
Suppose -3*u + 50 = -8*u. Let y(t) = -t - 5. Let m be y(u). Solve -m*w + 13 - 3 = 0 for w.
2
Let q(b) = 2*b + 16. Let h(t) = t**2 - 14*t + 5. Let p be h(13). Let d be q(p). Solve 10 = -d*v - 2*v for v.
-5
Let a(j) be the first derivative of -j**4/4 + 2*j**3/3 - j**2/2 + 13. Let u be a(1). Solve u = 2*t - 0*t - 2 for t.
1
Let s = 58 + -53. Solve s*o = 7*o - 8 for o.
4
Suppose 6*u = 3*u + 6. Suppose -4*r - 3*t + 34 = 0, -4*r + 5*t - u*t + 46 = 0. Suppose -3*c - 8 = 2*m + c, 0 = 5*m - 5*c - r. Solve -4*n + 6*n + 4 = m for n.
-2
Suppose 6*i + 0*i = 228. Let s = i - 32. Let t be ((-5)/(-1))/(15/s). Solve -t*f - 2 - 2 = 0 for f.
-2
Let w = 35 + -31. Solve 8 = w*q + 24 for q.
-4
Let k(s) be the third derivative of -s**6/30 - s**5/60 - s**4/12 - s**3/6 - 3*s**2. Let g be k(-1). Solve 0 = f - 1 - g for f.
5
Let g = 35 - 26. Let w(h) = h**2 - 9*h + 11. Let l be w(g). Solve l = -5*r - 4 for r.
-3
Let x = 207 + -203. Let w = 5 - 3. Let j(t) = t - 2. Let f be j(w). Solve -p = -f - x for p.
4
Let g(y) = -y + 2. Let f be -1*(0/(-5))/5. Let a be g(f). Solve -a*n + 0*n - 10 = 0 for n.
-5
Let k = -242 - -248. Solve 0*w - k = -3*w for w.
2
Let m = -74 + 83. Let p be 96/54 + 2/m. Solve -p*w - 6 = -5*w for w.
2
Let s(z) = -7*z**2 + 8*z + 5. Let l(g) = g**2. Let t(v) = -6*l(v) - s(v). Let k be t(10). Solve 3*q = -0*q - k for q.
-5
Let w be (1 + -3)/(-6*(-8)/(-120)). Solve w*a - 6 = -21 for a.
-3
Suppose -10*v - 67 + 97 = 0. Solve 0 = -v*c + 6*c for c.
0
Let f be -1 - (1*-9 - (5 - 1)). Suppose -4*y = -3*v + 2*v - f, 2*v + 4 = 3*y. Solve 2*h + y = h for h.
-4
Let k(v) be the third derivative of -v**5/60 + 5*v**4/24 - v**3/6 - 6*v**2. Let r be k(1). Solve -q + 4 = -r*q for q.
-2
Let j be 4/6 - 12/18. Suppose 13 = c - 4*f, 26 = 4*c - 0*f - 3*f. Let l(d) = d**2 - 5*d + 3. Let p be l(c). Solve s - p = -j*s for s.
3
Let o = -402 + 403. Solve s - o = -0*s for s.
1
Suppose j + 2 + 3 = 0. Let h(m) = 3*m + 17. Let n be h(j). Solve -6 = -2*l + n for l.
4
Suppose 2 = -y, -5*y - 8 - 2 = -x. Suppose -a + 5 - 2 = x. Suppose -2*t = -a + 1. Solve 5 = 4*g + t for g.
1
Let k be -5 + 4 - (-1 - -10). Let z(l) = -l**3 - 9*l**2 + 8*l - 10. Let y be z(k). Solve -y = 4*m + 2 for m.
-3
Suppose -g - 6*z + z + 2 = 0, 3*g + 4*z - 6 = 0. Solve 3*v = -g*v - 5 for v.
-1
Suppose 0 = 4*f - 5*f - 20. Let l be 1/(-2)*f/1. Suppose -3*g - 2*w - l = -8*g, 2*w - 22 = -3*g. Solve 0*r = 4*r + g for r.
-1
Let o be 9/(-18)*(5 - 1). Let l be -2 + 1*(o + 14). Suppose 3*w - 16 = -z, 0 = 2*z + 3*z + w - 10. Solve -3*r + l = z for r.
3
Let c(r) = r**3 - 21*r**2 - 61*r - 80. Let v be c(24). Solve 186*h + 4 = v*h for h.
-2
Suppose j - f - 11 = 0, 3*j - 5*j + 4*f + 14 = 0. Suppose -10*l + 13*l - j = 0. Solve k = 2*k - l for k.
5
Let h(c) = c**3 - 10*c**2 + 8*c + 15. Let f(y) = y**3 - y**2 + 5*y - 5. Let w be f(2). Let u be h(w). Solve 3*x = 3 + u for x.
3
Let q be 77/132*15*32/20. Solve 0 = -7*w + q - 7 for w.
1
Suppose z + 5 = -5*x + 3, 0 = 3*z - 3*x - 66. Let o(v) = -v**3 + 20*v**2 - 36*v. Let a be o(z). Solve p + 0*p + 5 = a for p.
-5
Let q be 12/(-10)*2*20/(-16). Suppose 2*d + 3*v - 28 = -1, 2*v + 34 = q*d. Solve -4*g = -g - d for g.
4
Suppose -4*k - 5*j + 0*j + 24 = 0, -4*j = -2*k + 12. Solve -k*h = -h - 10 for h.
2
Suppose 7*v = 15 + 6. Let j(n) = n + 10. Let o be j(-8). Let d = 2 - o. Solve v*i + 0*i = d for i.
0
Let n = 1879 + -1865. Solve 7*t + 14 = n*t for t.
2
Suppose -4*h - 12 = 4*d, -3*h + 5*d = 2*h - 35. Let n be (48/108)/(h/9). Solve 6 = -n*r - r for r.
-2
Let x be (-187)/(-77) - 9/21. Solve 0 = -0*a - a - x for a.
-2
Suppose 0 = 5*g - 5*m + 25, g + 5 = -g + m. Suppose -r + 4 - 1 = g, -5*q + 51 = -3*r. Solve 5*u - 3 = q for u.
3
Let y = 151 + -148. Solve 0 = y*n + 3*n - 24 for n.
4
Suppose -8*s = -4*s - 48. Suppose s = 3*c - 3*g, -4*c - 2*g + 30 = g. Suppose 34 = 4*r + c. Solve 3*n - 8 = r for n.
5
Let j be 12 - (0 + 0 - -4). Solve -j*l = -13*l - 10 for l.
-2
Suppose 4*l = -3 + 31. Suppose -3*n + l*n - 20 = -4*y, 3*n = 5*y - 1. Suppose 2*j + y = 8. Solve s = j*s for s.
0
Let z(g) = 10*g - 1. Let h be z(1). Let j = h + -7. Solve -j*s + 4 = -s for s.
4
Let o = -22 + 31. Suppose 5*r - r - 16 = 2*y, 3*r - o = 3*y. Solve -y*p - 4 = -0 for p.
-2
Let p(a) = 2*a - 21. Let u be p(15). Let c be u/2 - (-10)/(-20). Solve 0 = c*n + n + 5 for n.
-1
Let x(
|
{
"pile_set_name": "DM Mathematics"
}
|
Let p be 1017/(-54) + 13 - -6. Let l be (6/(-15))/(2/(-20)). Which is smaller: p or l?
p
Suppose 150*i - 3988070 = -124*i. Which is greater: 14554 or i?
i
Suppose -16*d - 92*d + 324 = 0. Are 98/47 and d equal?
False
Suppose 208 + 157 = -l - 193. Are l and -0.13 non-equal?
True
Suppose 167*x - 172*x - 3*w + 40 = 0, 2*w - 40 = -5*x. Let p = -20 + 11. Are p and x non-equal?
True
Let o(p) = 32*p**2 + 86*p + 85. Let j be o(-1). Is j at most as big as 142?
True
Let y = 454819 - 454918. Suppose 0 = m + 4*i - 1 - 4, -5*m + 3*i = 21. Do m and y have different values?
True
Suppose 3*g = 24*g + 28*g + 9163. Do -170 and g have the same value?
False
Suppose 25*j - 8439 = -1168 + 2554. Which is smaller: j or 389?
389
Let o(n) = -9*n**2 - 14*n - 6. Let d be o(-1). Let l be (-21 + -1)/((-2)/10). Let k be (-164)/l + (-4)/(-10). Which is greater: k or d?
d
Suppose -11*t - 9169 = -209952. Which is greater: t or 18254?
18254
Let z(m) = -22*m**3 - 2*m**2 + 45*m + 3. Let y be z(5). Is y at most -2571?
True
Let n = 669696/7 + -95670. Suppose -5 = -m + 5. Let b be m/(-15) - 8/(-3). Which is smaller: n or b?
n
Suppose 0*l = 15*l + 2085. Let i = -211 - l. Which is smaller: i or 2/5?
i
Suppose -7*p + 57*p = -14*p + 9*p. Is p equal to 4/753?
False
Let a be (963/12)/(246/(-1640)). Suppose -b - 542 = -4*z, 2*b + 2*z - 2140 = 6*b. Is b not equal to a?
True
Let p be -8 + (-5 - -25) + -9. Let s be -3*1/p + 0 - -65. Is 64 less than s?
False
Let x(z) = -11 - z - 3*z + 35 + 5*z. Let c be x(-20). Let s be (1/c)/((-8)/32). Is s <= 4/11?
True
Let g = -35 - -41. Let t be ((-2)/g)/(20/(-72)). Let l = t + 2/5. Is l at most 2?
True
Let h be (-2 - -3) + (-12930)/(-33) + 1. Let m = 394 - h. Is m smaller than 2/59?
False
Let s = 5.85 + 0.15. Let n be 16/12 + (-16)/(-6). Let g be -6*(4/(-16) + n/(-16)). Is g less than s?
True
Let j(q) = q**3 + 28*q**2 + 24*q - 87. Let t be j(-27). Let v be ((-39)/(-4))/(-13)*(-4)/t. Is v at least as big as -0.04?
False
Let f be 80*((-145)/(-10) - 15). Is -39 less than or equal to f?
False
Let s(i) = -i**3 + 34*i**2 - 18*i + 45. Let z be s(31). Is z smaller than 7106/3?
False
Let v(y) = 43*y + 118. Let a be v(-4). Let x be -5*-52*(-2)/10. Let k = x - a. Which is greater: -3 or k?
k
Let h = -218.511 + -0.489. Let m = h + 242. Which is smaller: -1 or m?
-1
Let w = 33 - 33.72. Let z = 0.42 + w. Let c = 1.7 - z. Is c > 2?
False
Let l(p) = p**3 - 10*p**2 + 13*p - 17. Let n be l(7). Let v = -198 + n. Is -272 < v?
True
Suppose -16*x - 504 = -37*x + 84*x. Which is bigger: x or -333?
x
Let x(i) = 7*i**2 - 125*i + 103. Let l be x(16). Which is bigger: 5 or l?
5
Suppose 3*g = -0*g + 18. Suppose d = 4*y + g - 48, 5*d + 90 = -4*y. Let t be (-95)/(-220) + 4/d. Do t and 3 have different values?
True
Let m(o) = -26*o**2 - 17*o + 22. Let i(z) = 77*z**2 + 50*z - 67. Let r(k) = 3*i(k) + 8*m(k). Let q be r(2). Is q < 95?
False
Let s = 1 - 0.8. Suppose -3*t - 350 = -13*t. Let y be (-6)/(-90)*t/14. Which is smaller: s or y?
y
Suppose -3*v + 198 = -2*d, -9*d = -7*d + 4*v + 184. Is -12 greater than or equal to d?
True
Let f(i) = -i**3 + 9*i**2 + 5*i - 5. Let t be f(9). Suppose -2*v - 3*v - t = 0. Let u be 520/(-56) - (0 - 4/14). Is u bigger than v?
False
Let q be (15 - (-570)/(-40)) + (-10362)/(-8). Is q >= 1297?
False
Suppose -71 = z + 2*b, 4*b + 147 - 151 = 0. Which is smaller: -143/2 or z?
z
Let x(n) = -4758*n**2 - 1127*n - 2. Let b be x(2). Which is smaller: -21290 or b?
-21290
Let a = 20106014/9 + -2236506. Is a less than or equal to -2504?
True
Let j be ((-136)/(-80) - 2) + 302537/190. Which is greater: -4 or j?
j
Let a(l) = 1498*l + 5562. Let j be a(-4). Which is greater: j or -438?
j
Let d = -32.8 - -35.8. Is 1.49 not equal to d?
True
Let z be ((-794)/(-1191))/(1 + 359/(-353)). Are z and -38 non-equal?
True
Let d(k) = -3*k + 19. Let z = 34 + -24. Let x be d(z). Let w(h) = 2*h**2 + 22*h + 1. Let a be w(x). Which is greater: a or -2/51?
a
Let c = -4824 - -4819. Let m be 8/30*(-3)/2. Is c at most m?
True
Let i be 1 - 0/1 - 2. Let q be (18 + -2)*(-222)/(-36). Let y = 2951/30 - q. Are i and y non-equal?
True
Let s(a) = a**3 - 6*a**2 - 7*a - 6. Suppose 43 = 5*d - 4*u, 2*d = d - 4*u - 1. Let t be s(d). Let o = 71.7 - 72. Is t <= o?
True
Suppose -17 = 2*w - u, 2*u = u + 1. Let j be (-12)/(-8) - (-13)/w. Let f be (-18)/22 - (-50)/(-275). Is f smaller than j?
True
Let a(l) = l**3 + 24*l**2 - 21*l + 28. Let k be a(-24). Suppose -4 = -533*t + k*t. Is -28 less than or equal to t?
True
Suppose 176*w + 9051 = 3997 + 40078. Which is greater: 221 or w?
221
Let w = -6386 - -6376. Is -3/62 not equal to w?
True
Let p(u) = u**2 + 7*u + 2. Let t be p(-6). Let z be 2/(-13) + (-137)/39. Is z < t?
False
Let x be 20/(6/354*-2). Let z = x - -612. Which is greater: z or -0.04?
z
Let o = -195327/32708 - -221/37. Which is bigger: -1 or o?
o
Let y(s) = -s**2 + 18*s - 18. Let c be y(17). Let p = 12.3 + -22.3. Is p <= c?
True
Let l(d) = -2*d**2 - 14*d + 4. Let m be l(-7). Let i be 2/(m*(-1)/(-12)). Suppose 5 = 4*j - 9*j, -32 = -3*v + 2*j. Which is smaller: v or i?
i
Let j be (20/1675)/(32/(-14320)). Is -4 at most as big as j?
False
Let b = 1580 + -376. Let s = 456 - b. Let p = s - -14218/19. Which is smaller: -1 or p?
-1
Let n(d) = -312*d + 934. Let h be n(3). Which is bigger: h or 576?
576
Suppose 4*f - 2*j + 160 = 0, -j + 0*j + 40 = -f. Let r = -22 - f. Let a be 2*20/3*6/4. Which is smaller: a or r?
r
Let q = 1814 - 1813. Which is bigger: 247 or q?
247
Suppose 2*f - 4*c - 21 = 5, -2*c = f - 5. Let h be ((-7598)/(-7610) - 1)/(f/(-15)). Which is greater: 0 or h?
h
Let t = -938/7503 - 31/123. Which is bigger: -1 or t?
t
Let y be ((-60)/(-50))/((-3)/(-30980)). Let i be y/(-23016) - (-3)/(-21). Let q = i + 2/137. Which is smaller: q or 2/15?
q
Let v be (-28)/36 - -1 - 233050/1050750. Which is bigger: v or 1?
1
Let n = 55.065 - 0.065. Let a = -54.66 + n. Which is smaller: a or -1?
-1
Let r(x) be the second derivative of -7*x**5/5 + x**4/12 - x**2/2 - 12*x. Let q be r(1). Let z be (q/2)/(-11 + 7 + 2). Which is smaller: 8 or z?
z
Suppose 4*u + 9 = r, -4*u + 23 - 6 = r. Suppose 2*c = 3*s, 33*c - 28*c = s + r. Are s and 13/14 unequal?
True
Let l be ((-406)/(4 + -11))/((-2)/3). Let h = -85 - l. Which is smaller: h or -22?
-22
Let x = 6397/4 + -19187/12. Suppose -j - 188 = 2*h - 0*j, -5*h - j = 467. Is x at most h?
False
Let w be (-146)/(-11 - (-4 + 0)). Suppose -62*h - 1320 = -122*h. Which is greater: w or h?
h
Suppose 0 = 85*m + 127301 + 13204. Is m not equal to -1652?
True
Suppose -3*g - 2*h = -g - 16, -5*g + h + 10 = 0. Suppose -3*y + 118 = s, 5*s - g*s = 2*y - 76. Is y != 39?
False
Suppose 0 = -7*g + 41 + 57. Suppose -g*k + 8*k = -156. Suppose -60 = -5*v - 5*r, 2*v + 2*r - k = r. Is 9 bigger than v?
False
Suppose -4*t - 4*d - 464 = 0, -2*d + 348 = -3*t + 2*d. Let r be 280/84*(-1)/t*3. Which is bigger: r or -1?
r
Suppose 0 = 38*g + 2*g + 25*g + 367055. Is -5646 less than g?
False
Let t = 676 - 709. Let z be t/(-231) + (-258)/(-154). Which is smaller: z or 0?
0
Let x = 5 - 5. Let o be -3 - (3/(-9)*x - 17). Let f = 15 - o. Is 1/129 <= f?
True
Let m = -20143 + 20363. Is -1/49 bigger than m?
False
Let a be (-7)/(-4)*(-106)/4 + -1. Let r = a - -102725/2168. Which is smaller: 0 or r?
0
Let u be (-3)/30*2 - (5 + (-1079)/195). Is -74.1 bigger than u?
False
Let v(s) = -3*s**3 - 2*s**2 - 2*s + 4. Let o be v(1). Let a be ((-1)/2)/((o/4)/3). Which is smaller: a or 80?
a
Let x = 127 + -124. Let j(z) = 5*z**2 - z - 10. Let f be j(x). Suppose f = -21*p + 19*p. Is -16 at most p?
True
Let f = -34 + 34. Let r = 60245/37 - 1628. Which is greater: r or f?
r
Let b be 112*(3 - (-286)/4). Let o be b/280 - (-1)/5. Which is smaller: o or 38?
o
Let w = -186 - -177. Let u be (3 + -2 + -11)*w/(-15). Is -92/13 < u?
True
Let z = 78000 - 510431997/6544. Which is bigger: z or 1?
1
Let l = -76.858 - 0.142. Let b = l + 78. Which is smaller: 0.1 or b?
0.1
Let n = -153 + 57. Let v = -95 - n. Let q be (-1 + 1)/(2 + (-3 - v)). Which is smaller: 2/191 or q?
q
Suppose 0*u - 3*u = 27. Suppose -69*p - 88 = -58*p. Let k be (2 + 42/35)/(p/20). Which is greater: k or u?
k
Let b(d) = -d**3 - 51*d**2 - 108*d - 479. Let o be b(-49). Is 217 < o?
False
Suppose 1879 = -15*l + 6454. Which is smaller: 307 or l?
l
Let k(j) = -15*j + 65. Let z be k(4). Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
t l(d) = -d**3 + 5*d**2 + 8*d - 9. Let t be l(6). Solve 3*x = -12 + t for x.
-3
Let z = 14 + -14. Solve -i - 4*i + 15 = z for i.
3
Let k(f) = f**2 + 6*f + 4. Let b be k(-6). Suppose 2*l + 0*z - z = 14, 0 = l + b*z - 16. Suppose l*y - 4 = 2*v + 3*y, 5*v + 2*y = 19. Solve -7 = 5*o + v for o.
-2
Let b(g) = -g**3 - 2*g**2 - g. Let k be b(-1). Suppose 3*z - 4*v = 22, k*v - 22 = -4*z - 2*v. Let w be z/33 - (-42)/11. Solve -d - w = -0*d for d.
-4
Let c(j) = -5*j**3 - 41*j**2 - 27*j + 9. Let f(b) = -b**3 - 10*b**2 - 7*b + 2. Let u(p) = -2*c(p) + 9*f(p). Let o be u(9). Solve o*n + 1 = n for n.
1
Let d = -1 + 2. Suppose 0 = -m + d. Solve -o + 3 = m for o.
2
Let y be (-2)/2 + -38 + 5. Let r be (-4 - y)*1/3. Solve r = -v - v for v.
-5
Let p = 27 + -22. Suppose -50 = -4*q + 2*g, -p*q - 4*g + 58 = -5*g. Solve -1 = 3*d + q for d.
-4
Let b(v) = v**3 - 8*v**2 - v + 10. Let g be b(8). Suppose -s = -g*s. Solve j - 3 = -s for j.
3
Let q be ((-10)/15)/(2/(-15)). Let o = 1 + -8. Let d = q - o. Solve t + d = 5*t for t.
3
Let l(c) = c**2 - c - 2 - 2*c**2 + 8*c. Let t be l(6). Solve 3 = -t*u - 13 for u.
-4
Let d = -3 + 8. Let p(x) = 13*x + 56. Let w be p(-4). Solve d*g = w*g for g.
0
Suppose -4*t = -8, 9*z - 18 = 4*z + t. Suppose z*g - 7 = 3*j, -5*g + 3*j + j + 9 = 0. Solve g = 3*u - 2*u for u.
1
Let s = 10 + -7. Solve -s*y - 4 = -y for y.
-2
Let m be (-39)/(-9) + (-2)/6. Suppose -b - b + m = 0. Solve -w = b*w - 3 for w.
1
Suppose 0*v - 2 = -v. Suppose 5*w - 22 = -4*j, -4 - 6 = -2*j - v*w. Suppose -1 = 4*d + j*p + 8, -d + 9 = -3*p. Solve d = -5*q - 2 + 22 for q.
4
Let o be -1 + ((-3)/6 - 0)*-6. Solve -3*f - o*f = 5 for f.
-1
Let p be -2 + 2 - (-3 - -1). Suppose -p*q + k + 8 = -k, -q + 3*k = -4. Suppose -o = -q*o + 12. Solve 0 = -o*r + 7*r + 3 for r.
-1
Let v(s) be the first derivative of -5*s**2/2 - 5*s + 6. Let q be v(-5). Solve 3*i + 2*i = -q for i.
-4
Let r = 37 + -17. Solve -6*j + j = r for j.
-4
Suppose -x = -c + 2, 0*c - 4*c + 14 = -x. Solve 3*j + 4 = x*j for j.
-4
Suppose 2*g + 2 = 5*n, -1 = -2*g + 2*n + 3. Let a be g*1*(2 + -1). Let d = 6 - 4. Solve -d*b + a = -0*b for b.
2
Suppose 4*i + 5*q = 119, 0*i + 2*q = 2*i - 46. Suppose 0 = 5*g - 2*p - 15, -4*g - 5*p = i - 5. Solve g + 2 = -3*z for z.
-1
Let a = -6 - -10. Suppose -45 = -5*u + 5*i, 3*u - 2 - 27 = a*i. Suppose -3*s - 4*b - 10 = -2*s, -4*s - 4*b - 4 = 0. Solve 0 = u*w - s*w + 10 for w.
-2
Let z(t) = t + 12. Let j be z(-6). Suppose n = 5*f - 1, 0 = -j*f + 4*f - 3*n - 3. Solve f*c + 3*c = 6 for c.
2
Let z be -1 + 7 + 0/(-4). Solve 0 = -3*q - z + 3 for q.
-1
Let j(g) = g - 5. Let l be j(7). Solve -3 = l*b - 1 for b.
-1
Let q = 1 + 3. Solve -8 = 2*d - q*d for d.
4
Let k(d) = -6*d**2 + 10*d - 15. Let n(w) = w**2 - 2*w + 3. Let h(x) = -2*k(x) - 11*n(x). Let s be h(2). Solve -v - 12 = -s*v for v.
3
Suppose -5*m + 12 = 2. Let h(c) = c + 1. Let k be h(2). Solve r - k = m for r.
5
Suppose -2*m - 6 = 3*y - 20, 5*y + 2*m = 22. Solve -y*p = -7 - 9 for p.
4
Suppose 0*g - g = -4*j, 0 = 5*g - 3*j - 17. Solve -k = k + g for k.
-2
Suppose 4*i - 8 = 2*q, 0 = -2*q - 0*q - 2*i + 4. Let z = 3 - q. Suppose 2*m + 2 = r, z*r - 3*m - 4 + 1 = 0. Solve -k + r*k + 1 = 0 for k.
1
Let b = 212 - 208. Suppose -4 = 4*q, 4*g + 3*q - 5*q - 2 = 0. Solve -2*t + 0 + b = g for t.
2
Let s(n) = n**3 + 4*n**2 - 6*n - 3. Let w = -17 - -12. Let l be s(w). Solve l*i - 6*i - 8 = 0 for i.
-2
Let y(i) = i + 9. Let d be y(-6). Suppose 2*c = d*c - 3. Suppose -5*w = r - 45, 0*w - r = -5*w + 35. Solve -c*b + w = -b for b.
4
Suppose y = -4*b + 20, 0 = 2*y + 4*b - 10 - 14. Solve -2 + y = -2*w for w.
-1
Let t be (-9)/(-2) + 2/(-4). Solve -j - t = -0 for j.
-4
Suppose 2*y - 16 = -4*w, -3*w + 6 = -3*y + 3. Suppose -y*j + 2 = 2*n, -37 = -5*n + 7*j - 4*j. Solve 0*x - n*x = 10 for x.
-2
Suppose -z + 26 = 2*m, -5*z + 0*m = 5*m - 115. Suppose 5*w + s = -0*s + z, -2*s + 16 = 4*w. Solve -3*d - 1 = -w for d.
1
Let z(x) = 3*x - 13. Let k be z(6). Solve -k - 3 = -4*u for u.
2
Let p(y) = -y**3 - 6*y**2 - 6*y + 3. Let w be p(-5). Let k = -5 + w. Solve -3*h - k = -0*h for h.
-1
Let t = 15 + -6. Let g(k) = k**3 + 12*k**2 + 10*k - 9. Let j be g(-11). Solve -s + t = j*s for s.
3
Suppose -m + 2 = -0. Let z = -44 + 46. Solve -m*k + z = 6 for k.
-2
Let q be (-1)/(-2)*10 + -2. Suppose -2*f = 0, -5*f = -3*p + 2*p + q. Suppose 6*n = n. Solve 0 = -p*r - n*r for r.
0
Let r = 6 + -3. Suppose 0*p + 5*p = 10. Suppose -2*t + 5*q - 20 = 0, 20 = -p*t + 5*t + 5*q. Solve -d + r + 1 = t for d.
4
Let d be (-3)/(-5) + (-10)/(-25). Solve d + 2 = -3*g for g.
-1
Let m(b) be the first derivative of b**3/3 - 2*b**2 - 2*b + 1. Let l be m(6). Solve 5*q = l - 35 for q.
-5
Let y = 32 - 30. Solve -s - 9 = y*s for s.
-3
Suppose 3*z + 12 = 5*z. Let h = 4 - 1. Suppose 0*d + h = -d - 3*u, 10 = -5*u. Solve d*f = z*f - 3 for f.
1
Let s be ((-8)/6)/((-8)/36). Solve 3*k = s*k - 3 for k.
1
Suppose -3*o + 2*p - 7*p = -7, -3*o - 2*p = -19. Suppose 0*x + 3*x - o = 0. Suppose -6 = -3*l + q, -x*l = l - 4*q - 8. Solve l*w + 9 = -w for w.
-3
Let i(r) = r**3 - 5*r**2 - 5*r + 5. Let h be i(4). Let d = -18 - h. Suppose -3*u - p = -2*p - d, 4*u + 4*p - 12 = 0. Solve u - 1 = 3*k for k.
1
Let x = 23 - 8. Solve 4*y + y = x for y.
3
Let b = -4 + 8. Let i = -21 - -29. Let w be (-4)/i*-1*b. Solve -f = w*f - 6 for f.
2
Let t(y) = -y**2 + 6*y - 5. Let x be 4/(-12)*24/(-2). Let l be t(x). Suppose 4*h = 2*h - 5*m + 35, 3*m = l*h. Solve h = -5*z - 5 for z.
-2
Let t be (-30)/(-12) + 3*(-3)/6. Let d = 3 - 5. Let w be d*(-2 + 0 + 0). Solve -w*c + t + 11 = 0 for c.
3
Suppose -5 + 0 = 3*o - 2*z, -2*o = z - 6. Solve 4*y - 5 = -o for y.
1
Let m be 52/14 + 6/21. Suppose 0 = -5*t - 4*l + 87, 0 = -3*t - 2*l - 22 + 75. Suppose -m*p + t - 7 = -2*b, 2 = p - b. Solve -6 = -p*a + 6 for a.
3
Suppose 2*b = -2*i + 5*b - 43, 2*b = 10. Let h = i + 21. Let x = 7 - h. Solve -3*o + o = x for o.
0
Let u(z) = z**2 - 4*z. Let c be u(-4). Let r = c - 22. Solve -2*d + r = -0 for d.
5
Let t(i) = i - 8. Let j(x) = -3*x. Let o be j(-2). Let w be t(o). Let h be -1 - (-1 - w) - -8. Solve 0 = -5*z + h + 4 for z.
2
Suppose 5*u + 4 + 14 = -2*k, 5*u = -4*k - 26. Let o = -1 - k. Solve -o*l + 5 - 11 = 0 for l.
-2
Let z(j) = 5*j - 2. Let s be z(2). Let k = -4 + s. Solve 5 = t + k*t for t.
1
Let x = -15 - -6. Let a = -7 - x. Suppose c = -0*c + a. Solve 4*i - c*i + 6 = 0 for i.
-3
Let b(s) = 2*s**2 + 17*s + 12. Let x be b(-8). Solve x = 3*o + o for o.
1
Let k(o) = -o - 3. Let x(h) = -h - 3. Let a(b) = -4*k(b) + 5*x(b). Let i be a(-8). Solve -i*f + 6*f = -3 for f.
-3
Suppose 3*c - 63 = 30. Solve -c = 5*w - 6 for w.
-5
Suppose 0*c = -3*c + 5*l + 11, -l = -5*c + 11. Solve y + 4 - c = 0 for y.
-2
Let v = -2 + 2. Suppose v = -2*i + 14 - 0. Solve -c + i = 2 for c.
5
Let i(y) = -5*y**2 + y + 0*y - 7*y - y**3. Let n be i(-4). Suppose 18 - 5 = 2*a - z, -3*a - z + 7 = 0. Solve 0 = -a*d + n + 8 for d.
4
Let y be 1*(16 - (-3 + 0)). Suppose 5*u - 18 = -s, -5 = 5*u + 3*s - y. Solve u*c = -c for c.
0
Let u be ((-30)/(-25))/(2/5). Let j be (2/(-3))/((-3)/18). Solve 3*f = j*f + u for f.
-3
Let s = 8 + -6. Let l = 51 - 45. Solve -l = -s*n - n for n.
2
Let h(q) = 0 - 1 - q + 9. Let s be h(4). Let i = 1 - -3. Solve -i*g + 0 + s = 0 for g.
1
Let i be 1*3/(-6)*-2. Let w = -4 + i. Let z = w - -4. Solve t + 4 = -z for t.
-5
Let b be (-2 - 0) + 3 + -4. Let k be 1*20/b*-3. Let x = -8 + k. Solve c + 3*c = x for c.
3
Let a(i) = i**2 + 2*i - 1. Let d be a(-3). Solve -d*j - 6 = -0*j for j.
-3
Let t = -15 - -17. Solve 0*s + 4 = -t*s for s.
-2
Suppose 2*j = 6 + 6. Let b(q) = q**3 + 5*q**2 - 10*q - 14. Let r = -10 + 4. Let u be b(r). Solve -d - u = -j*d for d.
2
Suppose 0 = 3*o - 28 + 16. Solve -o*b = -b for b.
0
Let u be 3/(-1)*1*(-3 - -2). Let q be (-4)/6 - 34/(-6). Let j(g) = g**2 - 4*g - 4. Let m be j(q). Solve -u*t - m - 2 = 0 for t.
-1
Suppose 5*a - 4*x = -x + 19, -a = x + 1. Solve -4 + a = d for d.
-2
Suppose -2*o - 18 = -3*r - 5*o, -5*r + 12 = -4*o. Solve 0 = r*h - 2 - 18 for h.
5
Let h(r) = 2*r**2 + 30*r - 30. Let g be h(-16). Solve g = -f - f for f.
-1
Let m be (3 + 3 + 2)/(-1). Let b(q) = -q**2 - 10*q - 12. Let i be b(m). Solve o - i = -3*o for o.
1
Let r = -67 - -67. Solve -2*c = -4 - r for c.
2
Let z(s) = -3*s - 26. Let n be z(-9). Solve 0 = 5*p - 24 - n for p.
5
Suppose 0 = b - 3*b - 8. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
x) = 2*x**3 + 7*x + 7. Determine j*d(f) + 7*g(f).
2*f**3
Let l(v) be the third derivative of v**4/6 + v**3/6 - v**2. Let c(b) = -5*b - 2 + 5 - 4. Determine 2*c(k) + 3*l(k).
2*k + 1
Let q(d) = 5*d + 2*d**2 + 2*d - d**2 - 6*d. Let a(h) = -h**3 + h**2 + h. Calculate -a(l) + q(l).
l**3
Let z(d) = -d**2 - 4*d - 9. Let m(t) = -t**2 - 1. Let i(a) = 3*m(a) - z(a). Let p = 55 - 49. Let o(c) = -c - 1. What is p*o(b) + i(b)?
-2*b**2 - 2*b
Let q(o) = 8*o + 8. Let v(t) = -24*t - 26. Calculate 20*q(s) + 6*v(s).
16*s + 4
Let q(w) = -6*w**3 + 5*w - 5. Let r = -6 + 8. Let p(x) = -r - x**3 + 1 + x + 0*x + 0*x. Calculate -5*p(j) + q(j).
-j**3
Let j(d) = -29*d**2 - 3*d + 1. Let v(b) = b. What is j(c) + 3*v(c)?
-29*c**2 + 1
Let s(z) = -z**3 - 2*z**2 + 2*z + 2. Let c(y) = -5*y**2 - 1 - 4*y**3 + 0*y**3 + 2*y**3 + 6 + 5*y. Calculate 2*c(o) - 5*s(o).
o**3
Let m(a) = a**2 - a - 1. Let w(b) = 9*b - 3*b + 1233 - 1228 - 3*b**2. What is -10*m(s) - 2*w(s)?
-4*s**2 - 2*s
Let u(w) = -w**2 + 1. Let v(r) = -3*r**2 - 2*r + 5. What is -6*u(k) + v(k)?
3*k**2 - 2*k - 1
Let j(n) = 12*n. Let f(c) = -2*c. Give -4*f(i) - 2*j(i).
-16*i
Let c = 3 + -2. Suppose 2*p = 3*p - c. Let l(j) = 1. Let s(n) = -2 + 2 + n + 0. What is p*s(u) + 2*l(u)?
u + 2
Let w(y) = -24*y**3 + 5*y**2 - 5*y - 5. Let j(z) = -12*z**3 + 3*z**2 - 3*z - 3. What is 10*j(x) - 6*w(x)?
24*x**3
Let r(g) = -5*g**3 + g**2 - 2*g - 2. Let l(k) = k**2 - 1. What is l(j) - r(j)?
5*j**3 + 2*j + 1
Let j(n) = -3*n. Let y(q) = -13*q. Let w = -8 + 2. Suppose 0 = -z - 4*z. Let p be ((-27)/w + z)*2. What is p*j(l) - 2*y(l)?
-l
Let a(o) = -4*o**3 - 5*o**2 + 4*o + 5. Let z(p) = -3*p**3 - 4*p**2 + 3*p + 4. Give -4*a(j) + 5*z(j).
j**3 - j
Let k(r) = -2*r + 6. Let l(c) = -4*c + 13. Give -7*k(m) + 3*l(m).
2*m - 3
Let i(j) = -2*j**3 + 3*j**2 + 5*j + 3. Let d(c) = 6*c**3 - 9*c**2 - 14*c - 8. Give -3*d(s) - 8*i(s).
-2*s**3 + 3*s**2 + 2*s
Suppose 0 = u - 3 + 9. Let b(c) = 2*c**3 + 11*c**2 - 11. Let i(w) = w**3 + 6*w**2 - 6. What is u*b(f) + 11*i(f)?
-f**3
Suppose -q + 20 = 3*q. Let w(v) = 1 - q*v**2 - 5*v + 4 + 3*v**3 - 3*v + v. Let j(s) = 2*s**3 - 3*s**2 - 4*s + 3. Determine 5*j(p) - 3*w(p).
p**3 + p
Let o(v) = -3*v**2 - 2*v - 2. Let q = 15 - 11. Let k be (-1)/(((-1)/22)/1). Let r(a) = -7 + 18 + 11*a + 10*a**2 + 6*a**2. Calculate k*o(b) + q*r(b).
-2*b**2
Let a(y) = -4. Let v(z) = z - 12. Determine 7*a(i) - 2*v(i).
-2*i - 4
Let t(u) = -u**2 + u - 1. Let r(c) = c**3 + 5*c**2 - 5*c + 1. Determine r(q) + 5*t(q).
q**3 - 4
Let g(x) = -4. Let u(z) = -z. Calculate g(n) - 8*u(n).
8*n - 4
Let s(z) = -70*z**2 + 55*z. Let a(k) be the third derivative of -k**5/12 + k**4/6 + 18*k**2. Determine -55*a(i) + 4*s(i).
-5*i**2
Let k(g) be the first derivative of 11*g**2/2 + 8*g + 2. Let o(w) be the third derivative of -1/2*w**3 + 2*w**2 + 0*w + 0 - 1/6*w**4. Give 3*k(t) + 8*o(t).
t
Let q be ((-2)/16 + (-90)/48)*-2. Let r(c) = -2*c. Let i(b) = 9*b. Determine q*i(f) + 21*r(f).
-6*f
Let a(l) = -13*l**3 + 3*l**2 - 1. Let c(o) = 13*o**3 - 2*o**2 + 1. Give 2*a(n) + 3*c(n).
13*n**3 + 1
Let a(c) = -3. Let m(u) = -u + 1. Calculate -2*a(d) - 6*m(d).
6*d
Let a(h) = 18*h + 4. Let r(b) = 18*b + 4. Determine -4*a(i) + 5*r(i).
18*i + 4
Let f = -1 - -3. Let c(j) = -j**2 + 2*j + 3. Let u(s) be the first derivative of 2*s**3/3 - 5*s**2/2 - 7*s + 4. Give f*u(w) + 5*c(w).
-w**2 + 1
Let u(r) = 2*r**2 + 10*r + 7. Let l(g) = -2*g**2 - 9*g - 8. Let f(v) = -4*l(v) - 3*u(v). Let s(p) = p**2 + 3*p + 6. Calculate 6*f(h) - 11*s(h).
h**2 + 3*h
Let l(g) = -1. Let y be (-3 + 3)/(1/(-1)). Suppose 2*q = -2 - y. Let z be (6/(-15))/(q/5). Let f(t) = -2*t + 4. Determine z*l(v) + f(v).
-2*v + 2
Let s = -5 + 2. Let b(i) = 4*i**3 + 5*i**2 - 3*i + 1. Let j be 0/(-4)*1/2. Let m(t) = t**2 + t**3 - 2*t + t + j*t**2. Calculate s*m(q) + b(q).
q**3 + 2*q**2 + 1
Let t(o) = o**2 + 5*o - 8. Let h(l) = -l. Give -3*h(v) - t(v).
-v**2 - 2*v + 8
Let b = 6 - 4. Let x be (-2)/(3 - 2/b). Let v(j) = j - 2. Let p(t) be the second derivative of t**3/6 - t**2/2 - t. What is x*v(h) + 2*p(h)?
h
Let b(l) be the first derivative of 6*l**2 + 3. Let k be b(3). Suppose -2*g - 2*g = k. Let o(h) = 2*h - 3. Let n(j) = -5*j + 7. What is g*o(t) - 4*n(t)?
2*t - 1
Let m(q) = -6*q**2 + 35*q. Let a(j) = j**2 - 7*j. What is 22*a(i) + 4*m(i)?
-2*i**2 - 14*i
Let l(m) = -m + 1. Let d(i) = -i**2 + 3*i - 1. Let h be d(2). Let a(n) = n**2 + 4*n - 6. What is h*a(p) + 6*l(p)?
p**2 - 2*p
Let x(i) = -i**2 + i - 1. Let s(b) = -11*b**2 - 3*b - 6. Let m(f) = -s(f) + 3*x(f). Let w(q) = -q**2 - q - 1. Calculate -m(c) - 6*w(c).
-2*c**2 + 3
Suppose -16 = 4*d - 0*d. Let v(x) be the first derivative of -x**2 - 5. Let f(k) = -3*k. What is d*f(c) + 5*v(c)?
2*c
Let x(i) = -3*i**3 - 5*i + 7. Let u(a) = -4*a**3 - 6*a + 7. Calculate 5*u(n) - 6*x(n).
-2*n**3 - 7
Let b(f) = -6*f + 7. Let k(v) = -3*v + 2*v + 5 - 4. Suppose 4*o - 6 = 2*h, 0*o + 2 = 2*o - 2*h. Suppose -o = -3*x - 17. What is x*k(z) + b(z)?
-z + 2
Suppose 2*v - 3*g = -0*v - 9, 5*v + 5*g - 40 = 0. Let j(i) = 6*i - 2. Let l(q) = -q. Calculate v*l(p) + j(p).
3*p - 2
Let m(d) = -2*d**3 + 7*d**2 + 7*d + 2. Let q = 12 - 6. Let h(k) = -2*k - k**3 + 3 - 2 + 4*k**2 + q*k. Suppose -6*b + b = 35. Give b*h(v) + 4*m(v).
-v**3 + 1
Let z(m) = -2*m**2 + m + 3. Let p(j) = j**2 + j. Calculate 4*p(y) + z(y).
2*y**2 + 5*y + 3
Let y(r) = 4*r - 2. Let o(u) be the third derivative of -u**5/60 + u**4/24 + u**3/2 + 3*u**2. Let m(c) be the first derivative of o(c). Give -5*m(j) - 3*y(j).
-2*j + 1
Let h(r) = 7*r - 6. Let z(p) = p**2 + 14*p + 17. Let y be z(-12). Let j(q) = -8*q + 8. Let n(b) = -7*b + 7. Let m(o) = y*n(o) + 6*j(o). What is h(v) - 6*m(v)?
v
Let f(m) = 26*m**2 - 12*m - 23. Let b(y) = 9*y**2 - 4*y - 8. Calculate -17*b(u) + 6*f(u).
3*u**2 - 4*u - 2
Let h(v) = v**3 - v + 1. Let i(c) = 5*c**3 - 2*c + 4. Let o(n) = -n**3 + 8*n**2 - 12*n - 4. Let t be o(6). Calculate t*h(l) + i(l).
l**3 + 2*l
Let r(z) = 4*z - 7. Let l(d) = d. Let m(s) = 2*l(s) - r(s). Let v(h) = h - 4. Suppose 2*c = 5*j + 11, 4*c + 0*j + 38 = -2*j. What is c*v(o) - 4*m(o)?
o
Let d(z) = 8*z**2 + 4*z - 7. Let r(x) = 7*x**2 + 3*x - 6. Give -5*d(p) + 6*r(p).
2*p**2 - 2*p - 1
Let n(p) = 14*p + 12*p - 3 + 0 - 27*p. Let i(l) = l + 2. Determine 4*i(d) + 3*n(d).
d - 1
Let o(h) = -h**2. Let c = 5 + -10. Let s = c + 9. Suppose 0 = 5*j + 16 + s. Let g(x) = 5*x**2. Give j*o(l) - g(l).
-l**2
Let u = -54 - -51. Let r(k) = -4*k**2 + 3*k - 4. Let m(z) = z - 1. Give u*m(a) + r(a).
-4*a**2 - 1
Let f(o) = -3*o**3 + o**2 + 2. Let q(j) = 12*j**3 - 4*j**2 - 9. Calculate -9*f(h) - 2*q(h).
3*h**3 - h**2
Let u(f) = 24*f**3 + 5*f**2 + 5*f. Let a(l) = 12*l**3 + 2*l**2 + 2*l. Determine 5*a(m) - 2*u(m).
12*m**3
Let m(p) = -2*p**3 - 4*p**2 - 5. Let t(l) = 2*l**3 + 5*l**2 + 6. Give 5*m(h) + 4*t(h).
-2*h**3 - 1
Let h(j) = -6*j**2 - 2*j + j + 3*j**2 + 0*j**2 + 4*j**3. Let t(a) = 2*a**3 - a**2. Calculate 2*h(b) - 5*t(b).
-2*b**3 - b**2 - 2*b
Let m(g) = -5*g**3 - 3*g - 2. Let f(a) = -9*a**3 - 6*a - 3. What is -3*f(t) + 5*m(t)?
2*t**3 + 3*t - 1
Let w be 1/(2/8*1). Let v(h) be the third derivative of h**4/24 + h**3/6 + 7*h**2. Let b(l) = 5*l + 3. Determine w*v(y) - b(y).
-y + 1
Let s(x) = x**3 + 7*x**2 + 5. Let t(u) = -3*u**2 - 2. What is -2*s(v) - 5*t(v)?
-2*v**3 + v**2
Let c = 290 + -293. Let o(z) be the third derivative of -5*z**4/24 - 2*z**3/3 + z**2. Let k(y) = -4*y - 3. Calculate c*k(q) + 2*o(q).
2*q + 1
Let c(z) = -2*z. Suppose 5*m - m - 24 = 0. Let a(u) = u**3 - 9*u**2 - u + 26. Let x be a(9). Let l(k) = 6*k. Determine m*l(f) + x*c(f).
2*f
Let o(z) = z**3 + z. Suppose 2*g - 8 = 2*y, -4*y = 5*g - y + 20. Let k(u) = 6*u**3 + u**2 + 7*u. Calculate g*k(x) + 5*o(x).
-x**3 - x**2 - 2*x
Let m(d) = -2. Let t(o) = -o - 2. Determine -3*m(s) + 2*t(s).
-2*s + 2
Let p(a) = -a**3 - 3*a**2 + 4*a. Suppose -18*d = -12*d - 54. Let k(b) = -4*b**3 - 13*b**2 + 17*b. Determine d*p(c) - 2*k(c).
-c**3 - c**2 + 2*c
Let w = 64 - 69. Let b(t) = -5*t + 5. Let h(d) = 6*d - 6. Calculate w*b(q) - 4*h(q).
q - 1
Let k(i) = -9*i**3 - 2*i - 2. Let x(s) = -217*s**3 - 49*s - 49. Calculate 49*k(j) - 2*x(j).
-7*j**3
Let f(u) = -u**3 + u**2 - 1. Let q(n) = -4*n**3 + 6*n**2 - 7. Give 6*f(h) - q(h).
-2*h**3 + 1
Let c(m) = -m - 10. Let a(l) = -2*l - 21. Let f(k) = 3*a(k) - 7*c(k). Let z(y) = 2*y + 15. What is -13*f(t) + 6*z(t)
|
{
"pile_set_name": "DM Mathematics"
}
|
= z**2 - 20*z - 52. Calculate the remainder when 39 is divided by s(23).
5
Suppose -3*s = 2*s - 195. Calculate the remainder when s is divided by (12/15)/((-2)/(-50)).
19
Suppose q - 25 = -0*q. What is the remainder when q is divided by 14?
11
Suppose 2*l - 12 = 4*d, 0 = 5*l - 4*l - 5*d - 12. What is the remainder when 23 is divided by (-1 + -12)/(l/(-2))?
10
Suppose k - 105 = -6*k. Let c(i) = 2*i**2 + 7*i + 8. Suppose 0*b - 2*b + 5 = -u, 5*u + 4*b = -39. Calculate the remainder when c(u) is divided by k.
12
Let n = -53 - -27. What is the remainder when 24 is divided by n*(10/4 - 3)?
11
Suppose p + 3 = -7. Let d = 8 - p. What is the remainder when d is divided by 5?
3
What is the remainder when 16 is divided by 19/3 + 14/(-42)?
4
Let a(k) be the second derivative of k**5/20 - k**4/3 - k**3/2 + 5*k**2/2 + 2*k. Let t = -44 - -73. What is the remainder when t is divided by a(5)?
14
Let c(q) = q**3 - 15*q**2 + 16*q - 18. Calculate the remainder when 17 is divided by c(14).
7
Suppose -2*r + 8 = 2. Suppose r = -0*q + q. What is the remainder when q is divided by 2?
1
Let y = -10 - -24. Let h = -6 + y. Calculate the remainder when h is divided by 3.
2
Let q(k) = k**2 - k - 6. Let l(n) = n**2 - n + 16. Calculate the remainder when l(0) is divided by q(4).
4
Let g = -10 + 36. Calculate the remainder when g is divided by 9.
8
Let y(s) = -s**3 + 7*s**2 + 9*s + 8. Let d be y(8). Let h = d - 6. Calculate the remainder when 19 is divided by h.
9
Suppose -t + 3*t - 10 = 0. Let y(p) = -p + 4. Let g be y(0). Suppose 2*h - 22 = -3*u, 0 = -g*h - 0*u + 2*u + 60. What is the remainder when h is divided by t?
4
Let w be (0 + 0)/(1/1). Suppose w = -5*d - 2*k + 82, 0 = d - 2*k + 3*k - 17. Let p = d + -11. What is the remainder when 12 is divided by p?
2
Suppose 4*t - 34 = 5*a, 0 = t - 0*a + a - 4. Suppose 9 = -x - 0*x. Calculate the remainder when (t/(-4))/(x/312) is divided by 18.
16
What is the remainder when 65 is divided by (-8 - -4)*(-231)/28?
32
Suppose 0 = 3*r - 18 - 15. Calculate the remainder when 8 is divided by (-4)/(-8)*(r + -1).
3
Suppose 56 - 21 = 5*c. What is the remainder when 34 is divided by c?
6
Let j(n) = -10*n - 51. Calculate the remainder when j(-22) is divided by 19.
17
Suppose 6*w - 32 = 2*w. Suppose -o = -5*m + 10, -3*o + 2 + w = -5*m. Calculate the remainder when o is divided by 4.
2
Calculate the remainder when 18/(-90) + 3/5*157 is divided by 16.
14
Suppose 4*g = -3*t - t + 380, 3*g + 4*t = 290. Let q = -56 + g. Calculate the remainder when q is divided by 9.
7
Let k(a) = -2*a**3 + a**2 + 3*a + 2. What is the remainder when 7 is divided by k(-1)?
1
Let w(l) = 2*l + 43. Calculate the remainder when 48 is divided by w(-13).
14
Suppose 3*v - 5*g + 5 = 2*v, -4*g + 31 = v. Calculate the remainder when 51 is divided by v.
6
Let u(t) = 3*t - t**2 + t**3 - 2*t + 11*t**3. Let b = -27 - -50. What is the remainder when b is divided by u(1)?
11
Suppose 0 = 123*h - 130*h + 231. Calculate the remainder when 97 is divided by h.
31
Let d be (-12)/(-2) + (-5 - -4). Suppose -4*g = -d*j - 72, 2*g + 4*j + j - 6 = 0. Calculate the remainder when 25 is divided by g.
12
Suppose 2*g - 16 = 2*x, -x = -3*g + 4*g - 8. Calculate the remainder when 23 is divided by g.
7
Suppose 0 = 5*i - 4*s - 115 + 38, 4*s + 12 = 0. Calculate the remainder when 46 is divided by i.
7
Suppose -3*g + 7*g - 348 = 0. Calculate the remainder when g is divided by 15.
12
Let l(p) = 7*p + 1. Calculate the remainder when l(1) is divided by 3.
2
Suppose 28 = 4*q - 4*t, 4*t - 19 = 3*q + 9*t. Suppose -111 = -q*y - y. What is the remainder when y is divided by 13?
11
Let j = 0 - -2. Let o = 20 + j. Calculate the remainder when o is divided by (45/12)/(-5)*-16.
10
Suppose 2*c = d - 4*d - 40, 0 = 2*d + 5*c + 45. Let s = d + 12. Suppose -t - s*k = 0, 5*t - 28 = t - k. Calculate the remainder when 15 is divided by t.
7
Suppose -4*u = g + 28, 4*u + 88 = 3*g - 7*g. What is the remainder when -2 - (g + 3) - 2 is divided by 5?
3
Suppose -880 = 10*m - 26*m. What is the remainder when 159 is divided by m?
49
What is the remainder when (234/(-10) - 1)/(96/(-240)) is divided by 23?
15
What is the remainder when 26 is divided by 0/1 - -3 - -3?
2
Let a(f) = -21*f**3 - 4*f**2 - 3*f - 2. Let g(n) = -42*n**3 - 9*n**2 - 7*n - 5. Let v(b) = -7*a(b) + 3*g(b). Calculate the remainder when v(1) is divided by 6.
3
Let l = 48 + -29. What is the remainder when 56 is divided by l?
18
Let b be 21/6*8/14. Suppose -w - 2*j - 1 = 0, -3*w = -b*j - 21 - 0. Suppose -w*q + 3*q + 4 = 0. Calculate the remainder when q is divided by 2.
0
Let o(c) = 2 - 4*c + 3*c - 3. Let b be o(-3). Let p = 14 - b. What is the remainder when 22 is divided by p?
10
What is the remainder when 1/(2*1/(-84)*-3) is divided by 4?
2
Let b be -3 + -2 + (-7)/(-1). Suppose 0*f - b*f = 5*u - 48, 3*f = -u + 46. What is the remainder when f is divided by 5?
4
Suppose -4*w + t + 11 = 0, -w - 2*t = -2 - 3. Suppose 0*q = -13*q + 78. What is the remainder when q is divided by w?
0
Let l = 17 + -26. Let d(x) = -x**3 - 8*x**2 + 2*x - 5. Let g be d(l). Calculate the remainder when 29 is divided by g/6 + 2/6.
9
Suppose -5*z = -16 + 1. Suppose 26 = -k + z*k. Let g(h) = 4*h + 23. What is the remainder when g(0) is divided by k?
10
Calculate the remainder when 36 is divided by (-49 + 14)*(-4)/10.
8
Let t(y) = -y**3 + 7*y**2 - 5*y - 4. Let q be t(6). Suppose f + 5*s - q = 0, 4*f = -s + 24 + 3. Calculate the remainder when f is divided by 4.
3
Suppose -3*h + 5 = -4. Calculate the remainder when (-1 - -4) + 2 + -1 is divided by h.
1
Let f = 42 + -29. Let c = 30 - f. Calculate the remainder when c is divided by 6.
5
Let s = 7 - -23. Calculate the remainder when 117 is divided by s.
27
Suppose 4*z = -2*p - 6 + 86, 3*p = -5*z + 115. Let d be 246/(-10) + (-12)/p. What is the remainder when (30/d)/((-3)/80) is divided by 11?
10
Suppose 0 = -2*p - 5*k + 189, 3*k = -4*p + 200 + 199. Let v = p + -70. What is the remainder when v is divided by 11?
10
What is the remainder when ((-120)/(-48))/(-2*2/(-8)) is divided by 4?
1
Suppose -k - 3 = -3*s + 3, 4*k = -12. Let u(w) = 6*w**3 - w**2 - w + 1. Let c be u(s). Suppose c = -3*v + 8*v. Calculate the remainder when 1 is divided by v.
0
Let k = -2 + 8. Suppose 86 - 2 = k*i. What is the remainder when 39 is divided by i?
11
Suppose 2*m = -0*m + 88. What is the remainder when m is divided by (-51)/(-3) - (-6)/(-3)?
14
Suppose v = -4*u + 7, 0*v + 8 = 2*u - 4*v. Suppose -5*n + 26 = -n + u*y, n + y - 8 = 0. Suppose -n*j = -14 - 6. Calculate the remainder when j is divided by 2.
0
Suppose 2*h - 2*v - 50 = -3*h, 0 = -2*h + 5*v + 20. What is the remainder when 19 is divided by h?
9
Let l(j) = -j**3 - 6*j**2 - 4*j - 1. Calculate the remainder when 45 is divided by l(-6).
22
Let h(x) be the third derivative of 11*x**4/24 - x**3/6 + x**2. Let f = -10 + 16. Calculate the remainder when h(1) is divided by f.
4
Let g(t) be the third derivative of t**5/60 - t**4/2 + 11*t**3/6 + t**2. Let v be g(11). Suppose 29 = -v*m + m. Calculate the remainder when m is divided by 10.
9
Suppose -j = 5*n + 9, 3*j = -0*j + 5*n + 13. Calculate the remainder when 43 is divided by -2 - (-1 - 11 - j).
10
Let y(u) = 5*u**2 - 7*u + 4. What is the remainder when y(2) is divided by 7?
3
Let q = 12 - 10. Suppose -2 = 4*w - w - 4*y, -4*y + 32 = 2*w. Suppose w + 3 = 3*z. What is the remainder when z is divided by q?
1
Let d = 19 - 19. Suppose d = -2*m - m + 189. What is the remainder when m is divided by 13?
11
Suppose -3*w = 2*w - 165. Calculate the remainder when 65 is divided by w.
32
Let g(a) = -a**3 - 10*a**2 - a - 1. Suppose 3*t - 53 = c, 2*t - 2*c = -4*c + 22. What is the remainder when t is divided by g(-10)?
7
Let v(a) = a**3 + 11*a**2 - 19*a - 6. Calculate the remainder when v(-10) is divided by 13.
11
Let s = 39 - 29. Let t = -8 + 36. What is the remainder when t is divided by s?
8
Let r(h) = 2 - 6*h + 3 - 4. Let y be (6 + -8)*(0 + 1). What is the remainder when 37 is divided by r(y)?
11
Let b(g) = -g**2 + 15*g - 20. Calculate the remainder when 65 is divided by b(9).
31
Let p(a) = 9*a**3 - 1. Calculate the remainder when p(2) is divided by (-2)/7 - (-1870)/77.
23
Suppose -2*w + 239 = h - w, 2*h - w - 475 = 0. Calculate the remainder when h is divided by 40.
38
Let y(q
|
{
"pile_set_name": "DM Mathematics"
}
|
?
72
Suppose 0*b = -2*b + 8. Let x = 556 - 539. Suppose 165 - 29 = x*d. What is the least common multiple of b and d?
8
Suppose d - 561 = l, 4*l = 5*d - 2884 + 81. What is the smallest common multiple of d and 430?
5590
What is the least common multiple of (-4)/10 + 7/10 + 23895/1350 and 174?
522
Let m(i) = -i**2 - 7*i + 23. Let h be m(-9). Suppose -h*d - 4*x = -136, 2*x - 116 = -5*d + 3*x. What is the least common multiple of 6 and d?
24
Let v be (148/(-96) + (-3)/24)*-3. Suppose v*x + 13*x = 6192. What is the least common multiple of 14 and x?
2408
Let b be (-24929)/(-230) - 16/184. Let a = 117 - b. Find the common denominator of ((-84)/2)/(18/(-8)) and a.
30
Suppose 15*z + 1344 - 1554 = 0. Calculate the least common multiple of ((-128)/(-10) - -4)*10 and z.
168
Suppose 3*m - 5*i = 240, 199 = 4*m + 3*i - 63. What is the lowest common multiple of m and 1106?
5530
Suppose 36*j - 38*j + 58 = 0. Let u = j - 30. Find the common denominator of -16/9 and 7/36*-14*(u - 1).
9
Let s = 6945/32 - 219. Let v be 7568/(-1256)*(-2822)/(-1560). Let m = -2/30615 + v. Calculate the common denominator of s and m.
160
Let c be (-14)/35*(-10)/4*-4. Let a(n) = 2*n**2 + 2*n - 10. Let v be a(c). Calculate the common denominator of -49/8 and (-6)/3 + v/24.
24
Let o(v) = 4*v**2 - v + 1. Let c be o(1). Let l = 1916/21 - 14411/168. What is the common denominator of l and c/96*-74 + 2?
24
Suppose 16*h - 5 = 27. Suppose -h*m - g + 20 = 0, -20 = -7*m + 2*m + 5*g. What is the least common multiple of 18 and m?
72
Let m = -14/8523 - -338359/170460. What is the common denominator of m and 163/594?
5940
Suppose -k - i = -4 + 1, -9 = -3*k + 5*i. Suppose 22 = k*h - 32. Suppose h + 32 = 5*z. Calculate the lowest common multiple of 16 and z.
80
Let w = 0 - -2. Calculate the least common multiple of (56/(-3))/(13118/(-11244)) and w.
16
Let x = -1/40892 + 2412661/1349436. Let f(j) = -j**2 + 5*j + 6. Let g be f(5). What is the common denominator of 596/g*(-1)/20 and x?
330
Let r = -15183486/1115 - -204974481559/15052500. Let m = r - 26/625. Find the common denominator of -61/99 and m.
1188
Let h = 645 - 642. Let u(a) = 44*a - 124. Calculate the smallest common multiple of u(h) and 14.
56
Suppose 3*l - 50 - 22 = 0. Suppose -8 = q + 3*x, 4*q + 0*x = 2*x + l. Let a = -753 - -764. What is the least common multiple of a and q?
44
Let n(d) = -d**2 + 35*d + 14. What is the smallest common multiple of n(27) and 46?
230
Let z be 7 + -1 - (1 + -4). Suppose z*v + 334 = 415. What is the least common multiple of 198 and v?
198
Let r be -33*(-1)/(-3)*1. Let j = r - -13. Suppose -61 + 63 = n. Calculate the lowest common multiple of n and j.
2
What is the common denominator of (-5 - (1 + 217/(-35)))*(-172)/(-348) and 107/1160?
3480
Let n = -11261 + 16049. What is the least common multiple of n and 2394?
4788
Let s = -12727 - -12723. Suppose 0 = -5*t - 3*u - 10, -3*t - 6 = -u - 2*u. Calculate the common denominator of (138/416)/(0 - t/s) and 41/12.
312
Let m = -12572 + 12628. Calculate the lowest common multiple of 1645 and m.
13160
Suppose -84*z = -78*z - 588. What is the least common multiple of z and 14?
98
Let z = 358 - -251. Suppose 0 = v + z + 261. What is the common denominator of 13/8 and -1 + (-1405)/v + 0?
696
Let s = 263003/866040 + -602/5155. Calculate the common denominator of s and -37/420.
840
Let d = 6485/117 - 724/13. Let f = -145982/15 + 9732. What is the common denominator of d and f?
585
Calculate the common denominator of (11/18)/(28/(-105)) and (-18)/(-24) - 42/(-14).
24
Let c(n) = -18*n - 2. Let u be c(-4). Suppose -3*t + 434 + u = 0. Suppose -2*j = -5*j + t. Calculate the lowest common multiple of j and 18.
504
Suppose -282 = w - 298. Suppose d - 350 = -6*d. Calculate the smallest common multiple of d and w.
400
Suppose -26*v + 36 = -23*v. Let z = 1 - -11. Suppose -10 = -q + z. Calculate the smallest common multiple of q and v.
132
Let d = 1 + 1. Suppose -5*r - 147 + 182 = 0. Suppose 5 = 2*c - r*c, 5*k = 5*c + 125. What is the lowest common multiple of k and d?
24
Let u = -1256413/17984126 - 4/46591. Let q = u - -5923/3281. What is the common denominator of (-93)/(-6)*(-4)/(-22) and q?
374
Suppose 143 = 13*m + 117. Let i(z) be the third derivative of z**5/60 - z**4/24 + 17*z**3/6 + z**2. Calculate the lowest common multiple of m and i(0).
34
Let m be 12/30 - (32334/(-5))/3. Suppose p - 1493 + 5833 = -4*i, -2*i - 4*p - m = 0. Let j = i + 15165/14. Find the common denominator of -87/20 and j.
140
Let m = -3321 - -3323. What is the smallest common multiple of m and 1/(5/(4 + 536))?
108
Let i = -1 + 0. What is the least common multiple of 5 + (32 - -30) + -59 and 6/(1 + 1 + i)?
24
Let l(k) = -2*k**3 - 592*k**2 + 1795*k + 333. Calculate the least common multiple of l(-299) and ((-130)/3 + -2)*-3.
136
Suppose 496 = -2*o - 2*o. Let q = -117 - o. What is the smallest common multiple of 10 and q?
70
Let v = -2656 - -4820. Let s = v + -23785/11. Find the common denominator of -27/8 and s.
88
Let z = -92 + 89. Let p be 10/(-8) - (-4)/(-48)*z. Calculate the common denominator of (p - -1) + 16/11 and 95/4.
44
Suppose 64 = 12*c - 4*c. Suppose -18 = b + c*b. Calculate the least common multiple of 36 and (-3 + b/1)*-8.
360
Let f be (-3)/(-7) + 4 + (-155)/35. Suppose -261*j + 265*j - 264 = f. What is the lowest common multiple of j and 2?
66
What is the smallest common multiple of ((-2430)/(-15))/9*5 and 13?
1170
Calculate the lowest common multiple of (330912/(-12))/(-18) + -3 and 6.
9174
Let r(l) = 426*l**3 - 2*l**2 - l + 1. What is the least common multiple of 424 and r(1)?
424
What is the common denominator of ((-45)/14)/(7218804/5754) and -85/4?
17564
Let d = -404/17 - -20107/884. What is the common denominator of -53/8 and d?
104
Suppose 0 = -4*d + 2*y - 27 + 145, 2*y = -3*d + 85. What is the common denominator of 35/4 and (-29)/(-6) + -28 + d?
12
Let t be 1 + (-1)/(-2) + 307020/1848 + 2. Let s be 7/(-88)*2362 - 1. Let p = s + t. Find the common denominator of p and 27/8.
8
Let p = 11719 - 5122. Let g = p - 263917/40. Find the common denominator of 1/25 and g.
200
Let p be ((-3)/(-2))/(16/(8448/(-18))). Calculate the common denominator of 168/p + 4 + 1282/(-154) and (194/(-9))/(8/6).
42
Let m = -121862419/450 - -270805. What is the common denominator of m and 119/1500?
4500
Let u = -20537 - -862453/42. Find the common denominator of (-224)/(-56) + (1089/(-22))/(2 + 0) and u.
84
Suppose -404*h + 1377 = -401*h. Suppose 99 = v - 3*o, -5*v + 4*o = o - h. What is the lowest common multiple of v and 27?
270
Suppose -3*s + 5*l + 401 = s, 4*l + 114 = s. Let q = 1690 - 1668. Calculate the smallest common multiple of s and q.
1034
Let m(t) = 19*t - 52. Let g(r) = -r**2 - 1. Let l be g(2). Let y be m(l). Let j = y - -149. Calculate the least common multiple of j and 20.
20
Let k(f) = -13*f + 31. Let o be k(13). Let b = o - -71. Let h = b - -69. Calculate the lowest common multiple of 13 and h.
26
Let z = -6328 + 7108. What is the least common multiple of z and 520?
1560
Let b = -250717/10556 + 3/2639. What is the common denominator of b and (1/(-7))/((-54)/(-291))?
252
Let c be 375/2*((-192)/9)/4. What is the common denominator of 2/11 - 6209/(-154) and (-18)/(-35)*c/320?
28
Suppose -w = 10 + 45. Suppose -139*a + 90 + 42 = -7. Find the common denominator of 79/40 and (-10)/w + (1307/(-110))/a.
40
Suppose -5*j + 25 = 0, 5*o + 22*j - 1355 = 23*j. Suppose 11*m - 4*a - 56 = 6*m, m = 2*a + 10. Calculate the lowest common multiple of o and m.
816
Let s = -10434 + 10907. What is the smallest common multiple of s and 2709?
29799
What is the common denominator of 9 + 1 + -5 - (-3054)/(-684) and -1 - ((-279)/33)/3?
1254
Let v be ((-234)/(-12))/(6/12). Let i = v + -35. Calculate the smallest common multiple of 36 and i.
36
Let z be (-51)/(-68) + 134426/(-88). Let t = 1528 + z. Find the common denominator of t and 31/169.
1859
Let u = -1430923/60 + 23849. Find the common denominator of u and -119/1866.
18660
Let r = 218 - 2749/12. Calculate the common denominator of 21/106 and r.
636
Suppose 0 = 2*j + 2*j + 5*l - 5050, -5*j = 2*l - 6321. Let r = j + -2591/2. What is the common denominator of -145/12 and r?
12
Let q = -2317/10 + 232. Let c(s) = 0 - 7*s + 9*s - 5*s + 79. Calculate the common denominator of
|
{
"pile_set_name": "DM Mathematics"
}
|
4*m - 7 = -3. Let t be 0/m*1/2. Suppose 2*v + n - 7 + 2 = 0, 3*n + 1 = -2*v. Solve 0*j + v*j = t for j.
0
Let s = 3963 + -3945. Solve -2 = s*g - 92 for g.
5
Let l(x) = x**3 + 24*x**2 + 72*x + 60. Let w be l(-20). Solve 13*r + 31*r - w = 0 for r.
5
Suppose f - z = 0, -3*f - 2*z = -z - 8. Let n(j) = -4*j - 2*j**f + 7*j - 13 + 3*j**2. Let v be n(-6). Solve -v*q + 2 = -8 for q.
2
Let x be -9*(1/(-1))/1. Let d = -351946 - -351977. Solve 0 = x*z - d - 5 for z.
4
Suppose -22 = 19*z - 23*z + v, -4*z = -4*v - 28. Let t = -6 - -11. Suppose z = t*d - 0*d. Solve -2*y - d = 3 for y.
-2
Let q = -6373 - -6373. Solve q = 146*c - 141*c + 10 for c.
-2
Suppose 0 = -p + 3 + 9. Suppose 0 = -j + 5*m - 7, -m = -3*j - 3*m + 13. Let d be j*(1 - 0) - 3. Solve -p = -3*w - d for w.
4
Suppose 32 = -3490*i + 3502*i - 28. Let d be 0/(-2) + 11 + -9. Solve -d*o = -i*o for o.
0
Let s = 812 - 811. Let a(j) = 3*j - 7. Let x(h) = 2*h - 6. Let z(k) = 5*a(k) - 6*x(k). Let w be z(s). Solve 3 = b + w for b.
-1
Suppose -2*m + 176*x = 173*x - 546, -x = 4*m - 1148. Solve -m = 72*v - 15*v for v.
-5
Let w(v) = 6*v**3 + v**2 + 2*v - 2. Let r be w(1). Let c be 266/11 + 10/(-55). Let p be 4 - 4 - r/((-14)/c). Solve 3*d = p + 3 for d.
5
Let m be 369/82*390/135. Solve -m = -22*u + 9*u for u.
1
Let t = -5106 + 5106. Solve t = -13*n - 10 - 16 for n.
-2
Let z be ((-18)/(-2) + -9)/(5/5). Let w = -14 - -23. Solve z = -4*x + w*x for x.
0
Let x be 6/4*(6 - 4). Suppose -85 = -f - n, 0 = -2*f + 3*n + x + 157. Let k = -78 + f. Solve -o = 3 - k for o.
2
Let h = 304 + -304. Suppose -13*d + 145 - 15 = h. Solve -5*z + d*z - 20 = 0 for z.
4
Let s(w) = w**3 - 5*w**2 + 4*w. Let u be 120/(-4 + 9) + 0. Let m = u - 20. Let z be s(m). Solve -4*v = -z*v for v.
0
Let x(v) = -v**3 - 15*v**2 - 32*v - 53. Suppose 0 = 8*q - 7 + 111. Let p be x(q). Solve 0 = 5*g - p for g.
5
Let d be 48/2*(13 - 14). Let l be d/4 - (-4)/(0 - -2). Let a = l + 11. Solve 12 = -a*f + 4*f for f.
-4
Let n be ((-4)/(-10))/((6/40)/3). Suppose j - 4 = 0, -2*j + 2 = 7*a - n*a. Let d(o) = -o**3 + o**2 - o - 1. Let t be d(-1). Solve -t = -4*l - a for l.
-1
Suppose 4*l = c - 25, c - 5*l - 2 = 3*c. Let f be ((-162)/(-30))/(c/15). Solve 0 = m + 2*m + f for m.
-3
Suppose -26 = -5*t - 4*u, -2*t = t + 2*u - 14. Suppose 116*x - 6 = 110*x. Let y = x + t. Solve -3*h + y = -0 for h.
1
Let f(i) be the second derivative of -22*i**3/3 - 26*i**2 + 82*i - 1. Let g be f(-2). Solve 3*j - 24 = -g for j.
-4
Let n = -394 - -383. Let b(w) = -w**3 - 12*w**2 - 11*w + 5. Let v be b(n). Let d(t) = t**3 + 3*t**2 - t + 2. Let r be d(-3). Solve -v - 10 = r*k for k.
-3
Let u(b) = -b**3 - 3*b**2 - 3*b - 1. Let d be u(-2). Let j = -688 + 688. Let m(p) = p**2 + 18*p + 3. Let h be m(-18). Solve o + d - h = j for o.
2
Suppose -913 = -17*w + 5*w - 157. Solve 5*p - w = 26*p for p.
-3
Let x be (-1 - 0)*1*(3 + -3). Suppose -34*p + 282 + 58 = x. Solve 3*v + 21 = p*v for v.
3
Let z be (3/3)/(38 + -30 - 23/3). Solve -z*k = 4*k for k.
0
Let f = -53 - -94. Let b = -37 + f. Let q = b + -4. Solve 4*l + 3 + 1 = q for l.
-1
Let t = -231 - -666. Let m = t - 433. Solve m = -2*i + 12 for i.
5
Suppose 43*g + 130*g = 5363. Solve -32*b = g + 193 for b.
-7
Suppose -d - 5*y + 2 = 0, 4*y = 3*d - 28 + 3. Let o be 2/3 + (-4)/6 + 15. Solve -2*h = -d*h - o for h.
-3
Suppose -27 = -2*k - 5*a, 0*k + 3*a = 2*k - 3. Let g(t) = -16*t + 98. Let f be g(k). Solve -f*l = l + 6 for l.
-2
Let g be (3*(6 - 7))/(3/(-2)) - -14. Solve -4 = -4*b - g for b.
-3
Let d be (-6 - -5 - -1) + 3. Let q(b) = -b + 7. Let n be q(-3). Solve -d*a = -5*a - n for a.
-5
Let u = 18 + -21. Let b be ((-24)/u - 3)*2. Suppose 50 = 4*v - b. Solve 0*p + 5*p + v = 0 for p.
-3
Let r = 2566 + -2539. Solve -85 = -10*w + r*w for w.
-5
Suppose 8078*m = 8060*m. Solve 2*i + 5*i - 21*i = m for i.
0
Let q = -6027 + 6031. Solve -48 = -q*l - 68 for l.
-5
Let g(o) = -o**2 + 11*o - 20. Let p be g(8). Suppose -68 = -0*x - x + p*i, -x = -5*i - 67. Let u = -72 + x. Solve -q = -u*q for q.
0
Suppose 11*h - 8*h = -2*u + 65, u - 3*h - 10 = 0. Solve 6*n + 55 - u = 0 for n.
-5
Suppose 27*y = 31*y - 3*t - 47, -3*t - 7 = y. Solve 220 = -y*i + 252 for i.
4
Let s(i) = 39*i + 2491. Let j be s(-63). Solve -j*c - 41 + 7 = 0 for c.
-1
Suppose 41*z - 24 = 37*z. Let t be (-6)/(z - 5) + 6. Solve t = -5*q - 7 - 3 for q.
-2
Let y be (-2268)/63*30/(-8). Solve 13*n - y = -14*n for n.
5
Let i(n) = 6*n**3 - 270*n**2 + 7*n - 305. Let h be i(45). Solve h*y = -24 - 6 for y.
-3
Suppose -o = -3*o + 6. Let a be 3/(((-18)/(-4))/o). Solve a*y + 0*y = 0 for y.
0
Let y(a) = -13*a + 3. Let t be y(-1). Let p(l) = l**2 - 15*l + 19. Let s be p(t). Let x = s - 29. Solve 0 = 3*o - 0 + x for o.
-2
Let q = -400 - -407. Suppose -q = -2*h + h. Solve -4*g - 9 - h = 0 for g.
-4
Let q = -1065 - -1070. Solve -q*r + 52 = 42 for r.
2
Let u(k) = k**3 - 26*k**2 - 27*k + 5. Let l be u(27). Let t be (-2)/l - (96/(-40) + -3). Solve -t*h = -8*h + 12 for h.
4
Let b = -79 + 80. Let v be (4 + -27)*1/b. Let c = v + 29. Solve 9*z - 6 = c*z for z.
2
Let o = -36 - -111. Solve -25*w - o = -0*w for w.
-3
Suppose 0 = 2*u - u. Suppose -3*r - b + 10 + 3 = u, -7 = -r - b. Let z be 18 + (-180)/(-40)*-2. Solve z - r = -3*t for t.
-2
Let j(g) = -g**3 - 15*g**2 + 12*g + 465. Let q be j(-14). Solve 140 + 163 = q*u for u.
3
Let t(k) = k**3 + 13*k**2 - 4*k + 147. Let b be t(-14). Solve b*x + 236 = 257 for x.
3
Suppose -5*f + 4 - 14 = -5*p, 0 = -3*p + 9. Let q(y) = -y + 26. Let b be q(f). Solve -5*w + 0 = b for w.
-5
Let g be 3 - 2 - 2 - -4. Suppose -g*w - 4*p = -6*p - 18, -3*p = -4*w + 25. Solve -w - 5 = 3*i for i.
-3
Let z be (24/90)/((-66)/(-495)). Solve z*j = -7 + 7 for j.
0
Let s(t) be the second derivative of -t**3/3 + 51*t**2/2 + t - 2. Let p be s(24). Solve -2*u = -p*u for u.
0
Let m = -2938 - -2970. Solve m*r - 36*r = -8 for r.
2
Let y be (4/3)/((-403)/(-625053)). Solve y*t = 2065*t - 6 for t.
-2
Let i(s) be the second derivative of -s**4/6 - 31*s**3/3 + 34*s**2 - 3*s - 21. Let x be i(-32). Solve -8*o = -9*o - x for o.
-4
Let n = -3 + 9. Suppose -n*g - 9*g + 5*g = 0. Suppose -1 = -3*k + 5*z - 14, g = -5*k - 3*z + 35. Solve -v + k*v = -3 for v.
-1
Let q(d) = -d**3 + 6*d**2 + 9*d - 10. Let b = 85 + -76. Suppose -3*w = -3*u - b, u = 5*u - 16. Let j be q(w). Solve 25 = n + j*n for n.
5
Suppose 79 = 19*p - 18*p - 7*j, 3*j = 2*p - 37. Suppose -5*b = i - 2*b + 9, -5*i = b + 3. Solve p*x + i*x = 10 for x.
5
Let z(b) = -274*b - 10407. Let o be z(-38). Solve -24*f = -o*f + 38 for f.
-2
Let p(x) = -2*x + 1. Let y be p(1). Let c be (-10)/y + -12 + 9. Let m be 3/((-69)/(-15) - 4). Solve -m*q - c - 3 = 0 for q.
-2
Suppose 328*q = 195*q + 4788. Solve -20*v = -14*v - q for v.
6
Let c be 46/3 + (-104)/(-156). Solve 0 = -c*j + 59 - 43 for j.
1
Let i(v) = 4*v + 108. Let g be i(-18). Solve 42*f = 60*f + g for f.
-2
Let l = 29 - 26. Suppose 105 = 2*s + 3*j - 8*j, 0 = l*s - j - 125. Solve -12*b = -4*b - s for b.
5
Let d(m) = 305*m - 915. Let v be d(3). Solve 28*u - 44*u - 128 = v for u.
-8
Let n(r) = -r**2 - 97*r - 1260. Let x be n(-16). Solve -100 - x = 34*y for y.
-4
Let f be 380/209 + 2/11. Suppose 3*u = f*v + 28, -4*v = -4*u + 14 + 26. Suppose -2*t + 0*p - 4 = 4*p, 2*p = 2*t - u. Solve -t*r + 6*r + 12 = 0 for r.
-3
Let o = 4787 + -4777. Solve -23*t = -18*t - o for t.
2
Let b(y) = y**2 + 51*y - 588. Let g be b(-63). Solve 8*p - 184 = -g for p.
2
Let j = 16210 - 16167. Solve j*d + 237 + 150 = 0 for d.
-9
Suppose -p = -3*p + 4*g - 16, -6*p = 2*g - 8. Solve p = 2*i - 99 + 89 for i.
5
Let o(j) = -9*j - 5*j - 5*j**2 + 222 - 223. Let u be o(-1). Solve -u = -4*v + 6*v for v.
-4
Let j(i) = -i**3 - 5*i**2 - i - 3. Let l be 1*(-15)/(-6)*(-3 - -1). Let m be j(l). Suppose -2*t = 3*b - 16, t + 5*b = -m*t + 26. Solve t*c = -c + 3 for c.
1
Let x(h) = -h**2 - 2*h + 3. Let k be x(-3). Suppose 278*g - 287*g + 36 = 0. Solve -16*l + 18*l + g = k for l.
-2
Let i = 496 - 496. Suppose 2 = -2*g + 4*g. Suppose 8 + 2 = -2*d - 4*c, 5*d + 4*c = -g. Solve -d*l + i*l = 15 for l.
-5
Let n = 236 - 218. Solve 0 = 4*o - n + 10 for o.
2
Suppose -9*v - 28 = -8*v + 5*c, 0 = -4*v + 4*c - 112. Let b be v/(-10) + (-4)/(-20). Solve -b*l = 20 - 5 for l.
-5
Let o be (165/6)/(269/538). Solve -45 = o*v - 50*v for v.
-9
Let s(f) = -f**2 + 71*f - 754. Let q be s(13). Let m = -17 - -24. Solv
|
{
"pile_set_name": "DM Mathematics"
}
|
p(m) = -m**3 - 6*m**2 + m + 8. Let h be p(-6). Let o(x) = 15*x + x**3 + 10*x**h + 1938 + 0*x**3 - 1938. Is 9 a factor of o(-6)?
True
Suppose 0 = m + 2*m - 12. Suppose 0 = m*p - 3*p - 76. Let y = p + -52. Is 10 a factor of y?
False
Let u(s) = -51*s**3 + 5*s**2 + 5*s. Is u(-2) a multiple of 2?
True
Suppose -61*c + 3076 - 2812 = -24929. Does 9 divide c?
False
Let t(f) = 2*f**2 + 2*f + 13. Suppose 20*i = 13*i + 63. Does 9 divide t(i)?
False
Let c = -8 - -12. Let b = c - 9. Is 15 a factor of ((-4)/b)/(6/675)?
True
Let p = 681 - 284. Suppose 13*n - 3880 - p = 0. Is n a multiple of 28?
False
Suppose -2*q - t - 2 = -12, 0 = -4*q - 3*t + 20. Suppose -8*w - 653 = -q*n - 4*w, 3*n + 2*w - 405 = 0. Does 19 divide n?
True
Let n(c) be the third derivative of 77*c**4/24 - 7*c**3/2 - 59*c**2. Is n(3) a multiple of 14?
True
Let d = -29 - -27. Let g be -130 - d/4*1*6. Let u = 1 - g. Is u a multiple of 13?
False
Let j(a) = -a**3 - 11*a**2 + 32*a - 18. Let f be j(-14). Let z = f - 117. Suppose -z*g - 5*s + 1308 = -37, -4*g - 2*s + 1066 = 0. Is g a multiple of 44?
True
Suppose 4*a + 9*k = 7*k + 12, -5*a - 3*k + 14 = 0. Suppose 545 - 85 = a*r. Is 5 a factor of r?
True
Let x(y) = 19*y**2 - 7*y + 6. Let d be x(1). Let s be 9/7 - d/63. Is 5 a factor of s*5*(5 + (-28)/(-10))?
False
Suppose -5*x + 3*f = 58, -4*f - 12 - 4 = 0. Let n(w) = -8*w - 82. Is 15 a factor of n(x)?
True
Suppose 52*n - 53*n - 69 = 0. Let o = n + 66. Is 5 a factor of -64*(-2)/((-8)/o)?
False
Let r(i) = -4*i**3 + i + 4. Let a(v) = 11*v**3 - 4*v - 12. Let t(s) = -3*a(s) - 8*r(s). Let b be t(-2). Suppose -801 = b*j - 13*j. Does 18 divide j?
False
Does 68 divide ((-4482225)/(-150))/(3/2) + 12?
False
Let s(f) be the third derivative of 2*f**6/15 + f**4/8 - 5*f**3/3 - 5*f**2 + f. Does 26 divide s(2)?
False
Let g = 8566 + 3080. Is 124 a factor of g?
False
Let p(k) = 31*k**2 - 5*k. Let x = -10 + 12. Does 12 divide p(x)?
False
Is (-884)/(-170)*2060/((-6)/(-3)) a multiple of 13?
True
Suppose -n = -79*g + 76*g - 3438, 5*n + 2*g - 17275 = 0. Is 19 a factor of n?
False
Let w(g) = 6*g**2 + 20*g + 2. Let t be w(-3). Let l(y) = 3*y + 15*y**2 + y - 8 - 10*y**2. Is 7 a factor of l(t)?
True
Suppose 2536 = -2*r - 2*t + 4*t, 0 = 5*r + t + 6364. Let m = -596 - r. Is m a multiple of 52?
True
Let h = -51 - -55. Suppose -m + 61 = 3*d + 18, 0 = -3*d + h*m + 68. Is 48/(d/(-4) + 38/8) a multiple of 10?
False
Let d(l) = 21*l - 6. Suppose -b - 24 = -5*h + 11, -4*b + 52 = 4*h. Is d(h) a multiple of 54?
True
Let k(p) be the first derivative of -p**4/4 - 2*p**3/3 - p**2/2 + 40*p - 196. Does 6 divide k(-5)?
True
Let g(r) = 1697*r - 451. Is 54 a factor of g(4)?
False
Suppose 31*n - 27*n = -4*c + 29876, 5*n = c - 7469. Does 9 divide c?
False
Let u be (-56)/(-42)*(-30)/(-8) - -26. Suppose 0 = 3*v + 3*y - 423, y + 403 = 34*v - u*v. Is v a multiple of 15?
False
Let r = -90 + 97. Suppose 0 = 3*m - r*m - 3*c + 144, m = -2*c + 31. Is 7 a factor of m?
False
Suppose 12 = 6*p - 0. Suppose -p*t = 4*i - 688, 2*t - 353 - 332 = -5*i. Does 35 divide t?
True
Let o be ((-3)/6)/((8 + -2)/(-432)). Is 7 a factor of 644/10 + o/(-90)?
False
Let c = 64 - -26. Is 18 a factor of (c/48 - (-1)/8) + 309?
False
Let x be (45/100*4)/((-1)/(-5)). Suppose x*j = 8*j + 3. Suppose -j*l + 148 = -0*g + g, -l = 5*g - 26. Is 9 a factor of l?
False
Is 618*(-24 - -26 - -1*4) a multiple of 9?
True
Suppose 3*c + 56 = -c. Let a be (-2684)/110 - (-4)/10. Let w = c - a. Is w a multiple of 4?
False
Suppose -4*k = 241 - 825. Let v be 3/(-18) + k/12. Let g = 61 - v. Is 26 a factor of g?
False
Suppose 0 = -24*i + 92*i - 21556. Is i a multiple of 3?
False
Let h(t) = -32*t - 5. Let n be (4 + -4)/2 - 1*10. Let z = 5 + n. Is 28 a factor of h(z)?
False
Let q be (-1*1)/(8/8) + -15. Let i(s) = -s**2 - 18*s - 28. Let x be i(q). Suppose 0 = t - 3*f - 33, x*t - 70 = 2*t + 5*f. Is t a multiple of 6?
False
Let x(l) = -2341*l + 488. Is x(-5) a multiple of 89?
True
Suppose -53*s = -3*s - 4*s - 818064. Is s a multiple of 57?
True
Let i(h) = 6*h**2 + 130*h - 53. Does 3 divide i(12)?
False
Let p(f) = 3 + 4*f - 2*f**2 + 5*f**2 - f**2 - f**2. Let i(u) = 3*u**2 - 21*u + 7. Let g be i(7). Is 8 a factor of p(g)?
True
Suppose 3*g = f + 29101, -2*g + 19394 = -477*f + 475*f. Does 126 divide g?
True
Let b be (-114)/(-38)*1/1. Suppose 0 = -5*c - b*v + 1080 + 388, -4*c - 4*v + 1168 = 0. Does 6 divide c?
False
Suppose -20672 - 2673 = -13*s - 4079. Does 13 divide s?
True
Suppose -188*l + 58097 = -199087. Does 9 divide l?
True
Suppose 7*u + 6*u - 43428 = -20*u. Does 14 divide u?
True
Let r(p) = -11448*p + 2856. Does 310 divide r(-3)?
True
Suppose 12*p - 13*p + 3*o + 17811 = 0, -p + 2*o = -17808. Is p a multiple of 69?
True
Let r(v) be the second derivative of 83*v**4/6 - 2*v**3/3 + v**2/2 - 203*v. Does 40 divide r(-3)?
False
Let b(s) be the first derivative of 11*s**2 + 120*s - 175. Is 47 a factor of b(33)?
True
Let z(s) = -43*s + 377. Let r be z(6). Does 26 divide 3/(-51)*-2 - (-92806)/r?
True
Let g(j) = -119*j - 617. Is g(-31) a multiple of 75?
False
Suppose 23*s - 5*t - 852830 = 0, 29*s - 27*s + t - 74162 = 0. Is s a multiple of 15?
True
Suppose 104*f - 102*f = 16. Let h(i) = 19 + 9 + 5*i + 0. Is h(f) a multiple of 17?
True
Suppose -5 = 3*h + p, h + 3*p - 4*p + 3 = 0. Let o be 2023*(-2)/4 - h/(-4). Is 24 a factor of o/(-14) - 1/(21/6)?
True
Suppose 695 = z + 3*g, -3*z + 5*g + 1213 + 914 = 0. Suppose 0*w - n = 3*w - 529, z = 4*w + n. Does 5 divide w?
True
Suppose 0 = -11*g + 8*g + 120. Suppose 6*o + 4*o - g = 0. Suppose -5*j = -2*v - 393, 3*v + 166 = o*j - 2*j. Does 11 divide j?
True
Does 161 divide (2*2 - (-75 + 81))*(1 + -3932)?
False
Suppose -170*y - 75209 = -120570 - 116479. Is y a multiple of 119?
True
Let k(d) = -8*d + 56*d**3 - 2*d**2 + 70*d**3 - 5 - 332*d**3 - 266*d**3. Does 25 divide k(-1)?
False
Is (3 - 9) + (3349 - (2 - 2)) a multiple of 10?
False
Suppose -17*l - 86*l = -1238472. Is 4 a factor of l?
True
Suppose -5*q + 5*a - 11 = 4, 10 = 2*a. Suppose -334 + 1272 = q*j + 3*y, 2299 = 5*j - 4*y. Is 31 a factor of j?
False
Let m(t) = -6*t - 7 + 12*t - 3*t**3 - 5*t + 5*t**2. Let b be m(4). Let p = 213 + b. Is p a multiple of 14?
True
Suppose 6*y = 3*v + 9*y - 99147, -y = -v + 33063. Is 35 a factor of v?
False
Suppose 1200 = 6*i + 4*i. Does 15 divide ((-16)/i + 8899/30)*2?
False
Let v(s) be the third derivative of -s**6/20 + s**5/10 + 5*s**4/12 - 5*s**3/6 + 77*s**2. Does 48 divide v(-3)?
False
Let a = -152 + 144. Let t(c) = -c**3 - 4*c**2 + 18*c + 19. Is t(a) a multiple of 2?
False
Suppose -64*x = 41*x - 2084775. Is x a multiple of 11?
True
Let h(k) = 158*k - 522. Let r be h(6). Suppose 5*t + 5*n - 410 = 0, 3*n + r = -2*t + 7*t. Is 14 a factor of t?
True
Let q(c) = 18*c**3 + 6*c**2 - 51*c - 97. Does 6 divide q(12)?
False
Let i(a) = -162*a + 24. Let x be i(-4). Suppose -9*p + 10*p = x. Suppose -6*y = -13*y + p. Is y a multiple of 13?
False
Let o = 12649 + -12219. Is 9 a factor of o?
False
Suppose 11*c - 17492 = -3*s + 13*c, 5*s = -c + 29149. Is s a multiple of 11?
True
Let w = 1097 + 1198. Suppose -6*q + w = 5*p - 5*q, 0 = -4*q. Is 17 a factor of p?
True
Is 48891/86 - (9/(-6))/(-3) a multiple of 13?
False
Suppose 5*x + 4*a - 105 - 344 = 0, 5*x - 448 = -3*a. Suppose u = -12 + x. Suppose 3*r = u + 49. Is 14 a factor of r?
True
Suppose 145*d = 129*d - 1152. Suppose -4*s - 138 = 478. Let u = d - s. Is 6 a factor of u?
False
Suppose -4*q + 105 = 3*q. Suppose 30 = -q*f + 20*f. Suppose 0 = 4*i - 4*m - 116, -46 + f = -2*i - 4*m. Is i a multiple of 13?
True
Let t = -68 + 78. Let q be ((-15)/t)/((-1)/2). Suppose 0 = -q*i + 166 + 44. Does 22 divide i?
False
Let v be (2376/756)/((-3)/(-105)). Let l = 39 + -12. Let m = v - l. Does 5 divide m?
False
Suppose -138*j + 708410 = 161654. Does 7 divide j?
True
Suppose -9*j = 4*j + 10*j - 42159. Is j a multiple of 47?
True
Let w(r) = r**3 + 10*r**2 + 18*r + 6. Suppose 26 + 6 = -2*d. Let o(k) = k**2 + 14*k - 39. Let q be o(d). Does 6 divide w(q)?
False
Let i be (-6)/21 - (-54)/(-7). Is (-17 + 9)/(((-3)/i)/(-3)) a multiple of 5?
False
Let m = -13962 + 19875. Is 26 a factor of m?
False
Suppose 3*f + 5*p = -50, -2 = p + 2. Let o(n) = -4 - 15*n - 2 + 25 - 2*n**2 + n**2. Is 15 a factor of o(f)?
False
Does 57 divide 3 + 47/((-47)/(-10296))?
False
Let i(b) = -b**2 - 6*b - 14. Let h
|
{
"pile_set_name": "DM Mathematics"
}
|
9 + 6/63. Let q = w + o. Solve -5*z - q = -0*z - s, -4*z - 2*s = -8 for z.
0
Let c = -810 + 814. Solve -z + 5*z + 8 = -u, 0 = c*z + 5*u - 8 for z.
-3
Suppose -15*h + 18 = -12*h - 3*f, 3*f + 28 = 5*h. Solve 4*g = h*o - 10*o - 17, 2*g = 4 for o.
-5
Let q = 18 + -6. Let c(i) = -i - 5. Let l be c(4). Let a = l + q. Solve 3*d = -2*n + 6, n - 2 = -a*n - d for n.
0
Let y be 2/6 + 39/(-9). Suppose -13*m = -22*m + 189. Let j = y + m. Solve w - j = r + 2*r, 0 = -3*r - 2*w - 11 for r.
-5
Suppose -22*j + 46*j - 312 = 0. Solve -4*k = 5*w - 0*k + j, -k = 4*w + 17 for w.
-5
Let o(d) be the second derivative of -d**4/6 - 25*d**3/6 + 8*d**2 + 31*d. Let n be o(-13). Solve -2*r - n*s = 3, -2*r + 0*r - 8 = -2*s for r.
-3
Suppose -3*f + 14 = -g - 4*g, 3*g - 6 = 0. Solve -3*z + 7*z - 4*q + f = 0, -q - 2 = z for z.
-2
Let n be 2 + (-1)/1 + 0. Suppose -4*o + n = g, o + o + 2*g = 2. Let x be -5*11/(495/(-27)). Solve 3*w + 0*w + x*i + 6 = o, w = -3*i for w.
-3
Let p be 33/((-121)/(-11)) + 2. Solve 4*t + 2*b + p = 5*b, -t = 4*b + 25 for t.
-5
Suppose -2*w - w = 0, 0 = 2*d - 2*w + 162. Let k = 90 + d. Solve 5*n - 9 = 2*b, -n + 4*b + 0 = -k for n.
1
Let b be ((-1)/4)/(2/(-16)). Let j be (13 - 12)*(1 + b). Suppose -5*y = j*s - s - 9, 4*s - 5*y - 3 = 0. Solve 5*l = 3*n + 18, n + 3*l - 10 = s*n for n.
-1
Let l be 0/(4 + -4 - -1). Suppose 2*m + j + 4 = 0, -12 = -3*m + 3*j - l. Solve m = w + 4*d + 5, -2*w + d = 14 - 4 for w.
-5
Let f(h) = h**2 + 10*h - 11. Let u be f(-10). Let n(i) = i**3 + 11*i**2 + 2. Let c be n(u). Solve -3*a - c*d = -11, 10 + 8 = 2*a - 4*d for a.
5
Suppose 378 = 3*q + 3*p, -3*q - p + 565 = 187. Let a = q + -122. Solve 3*m = k - 4 - 4, 3*k = -a*m - 28 for m.
-4
Suppose -q = 4*w - 3*q + 74, 3*w + 2*q = -73. Let g = -15 + 22. Let c be g/2 + w/(-14). Solve 0 = 3*s - 4 - 5, 4*x = -c*s + 7 for x.
-2
Let k(n) = -7*n**2 + 38*n - 6. Let f be k(5). Solve 5*t = 5*i - 35, 7 = -4*t + i - f for t.
-3
Suppose -2*g + 4*c + 6 = 0, -2*g - c + 2 + 14 = 0. Solve -4*q + 5*o = -35, 6 = -9*o + g*o for q.
5
Suppose -2*d = 4*d - 348. Let w = d - 56. Solve a + 3*a = -w*n, -20 = 4*a - 3*n for a.
-2
Let i be 1/((8/30)/4). Let a = -1355 + 1358. Solve 0 = 4*u, 5*w + 2*u + i = a*u for w.
-3
Let y(q) = -2*q**3 + 45*q**2 - 24*q + 59. Let u be y(22). Solve -17 = 4*g + v, 2*v = -5*g - u - 4 for g.
-5
Let g = 388 + -380. Solve 10*n = a + g*n + 8, 16 = 5*a + 4*n for a.
0
Let h be -2*(-11)/(-22) + (1 - -1). Solve -4*q = -4*g + 12, 3*q + h + 2 = -3*g for g.
1
Suppose 0 = z - 4*n, 0 = 2*n + n - 3. Solve -t = 4*k - z - 11, -1 = -3*t - k for t.
-1
Let n be (-4*1)/(-18 - -16). Suppose -4*c - 5*q = -2, q = 6*c - n*c - 14. Solve 20 = -5*r - 5, -35 = c*x + 4*r for x.
-5
Let w be (-10 + -25)/(1/2 + -3). Solve 2*u - 10 = -5*r, 0 = -3*r + 2*u + 4 - w for r.
0
Suppose -5*q = -p - 10, -5*p - 4 = -2*q - 4*p. Suppose 3*d - 3*d = -q*d. Solve n - z = -3*n + 9, 5*n + 4*z - 27 = d for n.
3
Let z(d) be the first derivative of 5*d**2/2 - 4*d + 15. Let j be z(4). Solve 3*n = n + 5*u - 6, 0 = -3*n - 5*u + j for n.
2
Let x(n) = n**2 + 15*n - 182. Let j be x(8). Solve -5*h + 14 = -h + 2*v, -j*v - 31 = -5*h for h.
5
Suppose -3*l - 45 = -12*l. Suppose l*o - 13 = f - 2*f, 4*o + 3*f - 17 = 0. Solve -o*s + 4*s + 4*v = -10, -5*s = 4*v + 19 for s.
-3
Let o(j) = -27 - j**2 + 5 + 11*j - 8 - 29*j. Let i be o(-16). Solve 4*c - 4*z = 36, 0*c - i*z = c + 3 for c.
5
Let l = -34 + 38. Solve l*y + 4*v - v = 5, -3*y = v for y.
-1
Let m(r) = -r**2 - 7*r - 10. Let c be m(-4). Let a be -1 - c - (-5)/1. Solve 3*w + 2*w + 18 = s, -4*s + 18 = -a*w for s.
3
Let f = 9 + 8. Let b = -15 + f. Let h be (-2)/3 + (-16)/(-6). Solve 3*a = 2*t - 2, b*a + h*t = 6*a + 2 for a.
0
Suppose -2*g + 0*z - 5 = z, 0 = 5*g - z + 16. Let y be g*3*(-6)/2. Suppose 38 - 48 = -5*f. Solve 0 = f*u + 3*b - 8 - 8, -5*u = b - y for u.
5
Let s(p) = -p**2 + 5*p + 2. Let b be s(5). Let h = 66 - 106. Let d be 4/(-10) - 776/h. Solve 0 = -2*o + 3*t - 11, -t = b*o + 2*t - d for o.
2
Suppose 0 = 4*h - j - 28, -5*h + 0*j = 2*j - 35. Suppose b = 5 - 3. Let u be 2/(15/6 - b). Solve -3*w = -u*p - 0*w + h, -p - w = -7 for p.
4
Let v(c) = -23*c**3 + 1 - 5*c**2 - 5 - c + 22*c**3. Let j be v(-5). Let w be j/(4 + 22/(-6)). Solve -w*u + 0*u = 2*h + 16, -u + h = -3 for u.
-2
Suppose 3*d = 5*a - 16, 2*a + 4*d - 5*d - 7 = 0. Suppose 3 = -b - u, 20 = a*b - 0*u - 2*u. Solve -2*h + z = b + 7, -2*z + 6 = 0 for h.
-3
Let a(y) = -y**3 - 12*y**2 - 12*y - 9. Let x be a(-11). Let p be 17/(3 - x) + 3. Let c be -5*((-28)/p + 1). Solve -4*j = -4*t - 4, 0*j - c*j + 4*t = 0 for j.
2
Suppose -t + 3 = 5*j - 12, 3*j = -4*t + 26. Solve 0*x = -x - s - 2, j*x + 25 = 5*s for x.
-5
Let k(o) = -8*o - 53. Let m be k(-7). Solve -s + 20 = -5*f, 0 = -5*s - m*f - 28 - 12 for s.
-5
Let j(b) = -b - 6. Let w be j(-9). Solve -w*x = 5*m + 23, -16 = -4*x + m + 4*m for x.
-1
Suppose 5*d = -b - 10, 25 = 2*b - 0*d - 5*d. Solve o + 4*o - 25 = 4*s, 0 = b*o + 5*s + 20 for o.
1
Let d be -2*(-15)/6 + -1. Suppose 193*y + d = 194*y. Let j(h) = -2*h - 7. Let c be j(-6). Solve -w = -c*i + 5, 0*i = 2*i - y*w - 20 for i.
0
Suppose 5*f - 4*p = 8, 5*f + 12 = -3*p + 41. Solve -2 = 5*v - 2*z, -2*z - f - 6 = v for v.
-2
Let t be 14/343*-7 - (-172)/14. Solve t = i - 3*k, 2*k = -2 - 8 for i.
-3
Suppose 18*c - 43*c + 50 = 0. Solve -2*p = l + 7, 4*l + 0*p = c*p + 2 for l.
-1
Let a = 114 + -105. Let u(t) be the second derivative of -t**3/3 - 11*t**2/2 + t. Let c be u(-8). Solve r + 14 = -5*k - a, c = -2*k + r for k.
-4
Let b(z) = 3*z + 10. Let p be b(0). Suppose -40 = p*m - 11*m. Solve u + 3*u - m = 4*i, u - 5 = 0 for i.
-5
Let j = -67 + 73. Solve -2*z = j, -3*i = -3*z - 5 - 19 for i.
5
Let o = -101 - -71. Let l = 24 + o. Let y = l + 10. Solve -9 = -3*c, 3*c - 1 = y*n - 0*c for n.
2
Let r(o) = -4*o**2 + 18*o - 4. Suppose -12 = 3*z, 0 = -2*l + 2*z + 2*z + 24. Let x be r(l). Solve -7 = -3*b - 4*k, -6*b - x*k + 9 = -b for b.
1
Let g be -2*(-11)/((-154)/(-105)). Solve -4*j = -4*u + j, 0 = u - 5*j - g for u.
-5
Suppose 4*d - 60 = -0*d - l, -2*d = 2*l - 24. Let j(c) = c**3 + 3*c**2 - 2*c - 4. Let f be j(-3). Solve -3*w = -4*h + 5*h + 10, f*w - d = 5*h for h.
-4
Let w = -24 - -26. Suppose k + l - 14 = -w, k + 3*l = 20. Solve 3*i + 3 = 0, -4*j - 3*i - k = -7*i for j.
-3
Let q(v) = v**3 + 7*v**2 + 7*v + 9. Let b be q(-6). Suppose -b*n - 2 = -14. Let i = -1 + n. Solve -3*z - 4*a = -5*z - 10, -i*z - 3*a = -30 for z.
5
Let q be 18/63 + (-1 - (-271)/7). Suppose q = c + 13. Solve -c = -2*i + 6*o - 3*o, -3*i + 25 = -2*o for i.
5
Let g be 12/18 - (-32)/6. Suppose 4*d - 4 = 3*h, 5*h + 3*d - 26 = g. Solve 8 = 2*a, -2*x + x + 19 = h*a for x.
3
Let h(i) = -i**2 + 40*i - 382. Let r be h(24). Solve 3*u + n = -r*n, -3*n = -u - 16 for u.
-4
Let f(l) = 3*l**3 - 48*l**2 + 2. Let r be f(16). Solve -3*a = -r*p - 6, -3*p - 3*a = a - 8 for p.
0
Suppose 4*q - 1206 = -1194. Solve -q*v = -4*s - 7, -3*v - s = v - 3 for v.
1
Suppose 4*u = -2*l + 28, -2*u = -3*u. Let o be 24/l - 2/(-7). Solve h - 2*m = -6, -2 - 4 = -2*h - o*m for h.
0
Let u(g) = 4*g + 24. Let x(a) = 3*a + 25. Let s(i) = 4*u(i) - 3*x(i). Let o be s(-3). Solve 6*t - 1 = 3*t + 2*m, o = -4*t - 3*m + 7 for t.
1
Suppose 6 = -5*y - 2*j + 33, -y = 5*j - 10. Suppose 1 = -y*n + 26. Suppose -3*p = n - 14. Solve 0 = -0*g + 3*g - 5*c - 1, -p*c + 5 = g for g.
2
Let k = 2 - -7. Suppose 0*s - k = 3*s. Let x be (198/s)/(-3) - -2. Solve 5*w - x = -q, -3*q = 2*q + 5*w - 40 for q.
4
Suppose 152*s - 11 = 141*s. Solve 3*l = 3*p - 4 + s, -13 = l + 3*p for l.
-4
Suppose -62 - 8 = -14*d. Solve -n + 3*n + 4 = -3*p, 0 = d*n - p + 27 for n.
-5
Let x = 114 + -111. Let l = 10 - x. Solve -3*v + i = l, 4*v = 5*i - 3 + 1 for v.
-3
Let n(o) be the second derivative of -4*o**3/3 + 3*o**2/2 - 16*o. Let u be n(-2). Solve -5*r + 4*t = 1, -5*r = -0*r + t - u for r.
3
Let t be (-5)/(5 - 35) - 15/(-18). Suppose 2*i = 2*g, -2*i + 1 + 2 = -5*g. Let u be t - i - 20/(-10). Solve 3*w - 7*z + 2*z = 9, u = w - 2*z for w.
-2
Let m(d) = 9*d**2 - 2*d - 4. Let w be m(2). Suppose 6*s + s = w. Solve 0 = -n + 3*i - 4, s + 2 = 2*i for n.
5
Let a be (9/12)/((-3)/(-40)*2). Solve a*d - 4*x - 25 = 0, d - 5*x = 4*d - 15 for d.
5
Suppose -s - 14 = -5*s - 2*i, -s = 5*i - 8. Let j(b) = b**2 + 0*b**2 - 4 + 0*b**2. Let d be j(s). Solve d*m - 2*g - 9 = 0, -m + 3*m - 12 = 5*g for
|
{
"pile_set_name": "DM Mathematics"
}
|
/8 - 4*h**3/3 + 36*h**2 - 3*h + 16. What is the third derivative of v(t) wrt t?
-134736*t
Let u(y) be the second derivative of -y**6/30 - y**5/20 + y**4/4 + 3317*y**2/2 + 3194*y. Find the first derivative of u(g) wrt g.
-4*g**3 - 3*g**2 + 6*g
Let t = 203 - 204. Let b(c) = -7*c**3 + 6*c**2 - 5*c + 48. Let v(g) = g**3 + g**2 + g - 1. Let n(a) = t*b(a) - 5*v(a). Find the first derivative of n(h) wrt h.
6*h**2 - 22*h
Let j = -729 + 1264. Find the first derivative of -j + 62*b**2 + 281 + 183 wrt b.
124*b
Let w = 79 - 58. Let v = w + 7. Find the third derivative of -2*g**2 + v*g**2 + 10*g**5 - 8*g**5 + 12*g**5 wrt g.
840*g**2
Let i(z) = 146*z**5 + z**4 - 5*z**2 + 130*z - 1. Let u(y) = 2*y**5 - y**4 - y + 1. Let a(d) = i(d) + u(d). What is the second derivative of a(p) wrt p?
2960*p**3 - 10
Let s be (0 - -16)*(-36)/8*-1. What is the first derivative of -3*i**2 + 3*i**2 - 99 + s*i**3 - 143*i**3 wrt i?
-213*i**2
Let m = -102 - -167. What is the first derivative of 3*w + 15*w - 7*w - m wrt w?
11
Suppose r - 2*d = -0*d + 2, -8 = -r - d. Let h be 10*(0 - (-3)/r). Find the third derivative of 39*f**h - 4*f**3 + 4*f**3 - 23*f**5 - f**2 wrt f.
960*f**2
Let h be (-3)/(1/(-3)*42/28). Suppose h*w - 11 = 31. Find the third derivative of -w*j**5 - 4*j**2 - 4*j**2 - 7*j**5 wrt j.
-840*j**2
Let a(c) be the third derivative of 2*c**7/105 - c**6/60 + 191*c**5/60 - c**4/12 - 476*c**3/3 - c**2 - 443. What is the second derivative of a(v) wrt v?
48*v**2 - 12*v + 382
What is the first derivative of -1136 + 4014 - 1953 - 1103*c**2 wrt c?
-2206*c
Let s(n) = -3*n + 8. Let w be s(2). Suppose w*m = -4*b + 28, -4*m + 63 = -0*m + b. Find the third derivative of m*k**4 - 26*k**4 - 4*k**2 + 5*k**2 wrt k.
-240*k
Let t(o) be the first derivative of 396*o**6 - 1287*o**2 + 712. Find the second derivative of t(b) wrt b.
47520*b**3
Let d(u) = u**4 - 5*u**2 - 2*u - 2. Let g(y) = 6974*y**4 - 45*y**2 - 61*y - 18. Let k(w) = -9*d(w) + g(w). What is the second derivative of k(z) wrt z?
83580*z**2
Let w(t) = -1065*t - 1734. Let u(j) = -528*j - 863. Let y(o) = 5*u(o) - 3*w(o). Differentiate y(g) with respect to g.
555
Let w(y) be the third derivative of -2*y**7/105 - y**6/30 + y**5/20 + 489*y**3/2 - 6*y**2 - 22*y - 3. What is the first derivative of w(g) wrt g?
-16*g**3 - 12*g**2 + 6*g
Suppose -1656 - 263 + 152 = -57*x. Let b(f) be the first derivative of 28/3*f**3 - x*f + 0*f**2 + 15. Find the first derivative of b(r) wrt r.
56*r
Let t(c) = -1870*c - 10104. Let d(o) = -3*o - 4. Let q(f) = 8*d(f) - t(f). What is the first derivative of q(h) wrt h?
1846
Let c(g) = 98*g**2 - 89. Let z(k) = 1 - 18*k - 11*k + k**2 + 29*k. Let x(w) = -c(w) - 5*z(w). Differentiate x(b) with respect to b.
-206*b
Let j(g) be the first derivative of -2*g**5/5 + 39*g**4/2 + 805*g**3 - 944. What is the third derivative of j(d) wrt d?
-48*d + 468
Suppose 8*b - 12 - 12 = 0. Let t(h) be the first derivative of -8*h**4 + 6*h**4 - b*h + 17 - 5*h. What is the derivative of t(z) wrt z?
-24*z**2
Let u(b) be the second derivative of 13*b**6/6 + b**4/12 - 3*b**3/2 - 49*b**2/2 - 33*b. What is the second derivative of u(t) wrt t?
780*t**2 + 2
Let o = 30 + -31. Let i(q) = -5*q**3 + q**2 - q - 1. Let z be i(o). What is the derivative of -4 + 10 + z - 10*c**3 wrt c?
-30*c**2
Let n(t) be the first derivative of 509*t**5/5 - 101*t**3 + t**2/2 + 2*t + 4823. What is the third derivative of n(j) wrt j?
12216*j
Let a(j) be the second derivative of 7/10*j**5 + 22*j + 1/6*j**3 + 0*j**2 - 1/12*j**4 + 2 - 1/30*j**6. Find the third derivative of a(v) wrt v.
-24*v + 84
What is the third derivative of -584*t**3 - 14723*t**2 + 7304*t**2 + 7317*t**2 wrt t?
-3504
Differentiate -87*q**2 - 2685 + q - 2765 + 7159 with respect to q.
-174*q + 1
Suppose 2*c + 4*b = 41 + 25, b - 28 = -c. What is the derivative of -r**4 - 5*r**4 + c + 22 - 163 + 4*r - 6*r**4 wrt r?
-48*r**3 + 4
Let j be 5 + 27/(-6) + 1/(-2). Let g(n) = n**2 + 2*n + 3. Let t be g(j). Find the third derivative of -b**6 - t*b**2 - 18*b**2 + 3*b**6 + 3*b**6 wrt b.
600*b**3
Suppose 15*l + 387 = 1587. Differentiate -l*g**3 + 4 + 86*g**3 + 78*g**3 + 14 with respect to g.
252*g**2
Let h(d) be the third derivative of -3563*d**4/24 + 316*d**3/3 + 1189*d**2 + d. What is the derivative of h(s) wrt s?
-3563
Let y(n) = -n**3 - 8*n**2 - 7*n - 1. Let z be y(-8). Let s = z - 53. Find the third derivative of 10*c**6 + 11*c**s + 238*c**3 - 238*c**3 wrt c.
1200*c**3
Let r(k) be the third derivative of 0*k**3 + 0*k + 34/15*k**5 + 0 - 75*k**2 + 0*k**4 + 0*k**6 - 149/210*k**7. Find the third derivative of r(u) wrt u.
-3576*u
Suppose l + 5 = 2*l. Suppose 7 = k + l. What is the second derivative of -109*s**3 - 4*s + 122*s**3 - k*s wrt s?
78*s
Differentiate -2*q + 639 + 28*q + 230*q + 14*q + 3*q**3 with respect to q.
9*q**2 + 270
Let q(x) be the first derivative of 2409*x**5/5 - x**3/3 + 5*x**2/2 - 2053. Find the third derivative of q(n) wrt n.
57816*n
Let s(t) = -5 - t**2 - 5*t**2 + 2*t + 9*t + 7*t**2. Let i be s(-12). Find the second derivative of 98*y - 105*y - 5*y**3 - i*y**3 wrt y.
-72*y
Let g(h) be the second derivative of -548*h**5/5 - 20*h**4/3 - h - 148. What is the third derivative of g(c) wrt c?
-13152
Let y = 91 + -66. What is the second derivative of -52 - 11*p - 15*p + y*p + 118*p**4 + 2 wrt p?
1416*p**2
Let m = -150 + 154. What is the derivative of -92*x - 4*x**m + 65 - 4*x**4 + 92*x wrt x?
-32*x**3
Let r(w) = 92*w. Let h(u) = 1941*u + 2579. Let l(o) = -h(o) + 3*r(o). Find the first derivative of l(f) wrt f.
-1665
Let j = -20 - -27. Suppose j*x = x + 24. Find the second derivative of 8*d + 21*d**x - 6*d**4 + 0*d**4 wrt d.
180*d**2
Let t = -5 - -8. Let l(w) = w**3 + 9*w**2 - 24*w + 6. Let s be l(-11). What is the second derivative of s*v**t + 68*v - 9*v - 35*v wrt v?
168*v
Let w(z) = 98*z**2 + 7*z + 63. Let h(y) = -49*y**2 - 4*y - 33. Suppose 17*t = 85 + 34. Let c(n) = t*h(n) + 4*w(n). Find the first derivative of c(m) wrt m.
98*m
Let w be (-39 - -84) + 1*(0 - 1). Differentiate -l**4 + 434*l - 226*l - 226*l + w wrt l.
-4*l**3 - 18
Let g be (85/(-15) + 9)/((-4)/(-6)). Find the third derivative of 8*x**5 - 84*x**2 - 12*x**3 + 22*x**3 - 2*x**6 - 8*x**g wrt x.
-240*x**3 + 60
Let n(x) = 5*x + 24. Let r be n(-4). Find the second derivative of 58*d + 24*d**r + 49 - 49 wrt d.
288*d**2
Let c = 740 - 717. Find the second derivative of c + 4 - 90 + 33 - 2*x + 68*x**4 wrt x.
816*x**2
Find the first derivative of -77*u**2 + 98*u**2 + 229 - 123*u**2 - 41*u**2 wrt u.
-286*u
Find the third derivative of 6*o**4 - 265*o**3 + 12585*o**2 - 6*o**4 - 2*o**5 - 10799*o**2 + 3*o**5 wrt o.
60*o**2 - 1590
Differentiate 840 - 614*u + 11*u - u**2 + 525 + 47*u + 88 with respect to u.
-2*u - 556
Let d = -213 + 216. What is the second derivative of -29*t**2 - 90*t**2 + 0*t**2 - t**d + 86*t wrt t?
-6*t - 238
Let g(w) = -14*w - 52. Let s be g(-12). What is the third derivative of -23*i**3 + 116 - s - 37*i**2 wrt i?
-138
Let o(l) be the third derivative of -11*l**7/30 + 21*l**6/40 + 4685*l**3/6 - 4199*l**2. Differentiate o(i) wrt i.
-308*i**3 + 189*i**2
Let m(d) = 8*d**3 - 9*d**3 + 18*d - 2*d**3 + 9*d**3. Let n(h) = -2*h**3 - h. Let s(w) = -2*m(w) - 44*n(w). What is the second derivative of s(t) wrt t?
456*t
Let s(q) be the first derivative of 121*q**2/2 + 10*q - 36. Let y be s(1). What is the first derivative of y - 6*f + 132 - 281 wrt f?
-6
Let l(g) be the first derivative of 0*g + 0*g**5 + 17/4*g**4 + 1/2*g**6 + 248 + 4/3*g**3 - 9/2*g**2. Find the third derivative of l(w) wrt w.
180*w**2 + 102
Find the third derivative of 7*n**5 + 1065*n**3 + 15*n - 4161*n**3 + 3 - 6*n**2 + 1082*n**3 + 1019*n**3 + 1123*n**3 wrt n.
420*n**2 + 768
Let n(h) = 5*h - 3. Let b(c) = -c + 1. Let a = 24 - 32. Let l = 4 + a. Let w(k) = l*b(k) + n(k). What is the derivative of w(x) wrt x?
9
Let f(w) be the third derivative of 81*w**4/8 - 1846*w**3/3 - 68*w**2 - 14. Differentiate f(o) wrt o.
243
Let r be (-6 - -3 - -6) + 1. What is the second derivative of 32*j**r - 23 - 11*j + 2*j**3 + 23 wrt j?
384*j**2 + 12*j
Let n(t) = 412*t**3 + 85*t**2 - 2*t - 2. Let u(v) = -v**2 - v + 1. Let m(l) = n(l) + 3*u(l). What is the third derivative of m(r) wrt r?
2472
Let p(h) be the first derivative of -6*h + 23 - 11/6*h**3 + 6*h**2. Let x(j) be the first derivative of p(j)
|
{
"pile_set_name": "DM Mathematics"
}
|
rd smallest value in -4, 1.5, 8, 0.0429?
1.5
Which is the second biggest value? (a) 0.01 (b) 5 (c) -0.2 (d) 1/7 (e) 0 (f) -23/4
d
Which is the fourth smallest value? (a) -0.124 (b) -0.05 (c) 1/41 (d) -0.13
c
Which is the second biggest value? (a) -33.2 (b) 54 (c) 2/7 (d) 1 (e) 4
e
What is the second biggest value in -1.6, -5, -0.3, -0.6, -6/7?
-0.6
Which is the third smallest value? (a) -4/9 (b) -11 (c) 139
c
What is the third smallest value in -4, -41, -0.3, -1?
-1
What is the second smallest value in -4, 4/9, -824, -4/7?
-4
What is the biggest value in 5, -25/12, -2/3, -5, -2/15, 2?
5
Which is the third smallest value? (a) 4 (b) -1/4 (c) -3884 (d) 1/2 (e) 0.4
e
Which is the fourth smallest value? (a) -0.5 (b) 5 (c) -11 (d) -1.8
b
Which is the third smallest value? (a) -384 (b) -0.2 (c) -949 (d) 1 (e) -1/4
e
What is the second smallest value in -1, 1, -8, -4, 71, 1/2?
-4
What is the third smallest value in 21, 17/4, 76?
76
What is the smallest value in 4, -4, 1/2, -141?
-141
Which is the second biggest value? (a) 0.2 (b) 142.7 (c) 4 (d) -2/15 (e) -5
c
What is the third smallest value in 2/7, 1/10627, -0.07?
2/7
What is the fourth biggest value in 39/4, 1/10, 0, -3, -1, -4?
-1
Which is the second biggest value? (a) -24 (b) -5 (c) 0.1 (d) 0.026
d
Which is the second biggest value? (a) -1/6 (b) 0.908 (c) -1/5
a
What is the biggest value in 68227, 0, 3/2?
68227
What is the smallest value in -0.4, 3/5, 1/3, 2/9, -33, -5/2?
-33
What is the third smallest value in 0.09, 1117, 9?
1117
Which is the smallest value? (a) 2/13 (b) 3 (c) -21494
c
Which is the second smallest value? (a) -15 (b) 0 (c) 0.4 (d) -21 (e) -4.2 (f) -3/7
a
What is the smallest value in -187, -0.1, -8.8?
-187
Which is the third smallest value? (a) -119 (b) -6 (c) 3 (d) -1 (e) -0.5
d
Which is the second biggest value? (a) -21 (b) 1.2 (c) 149
b
Which is the second smallest value? (a) -5 (b) 1/151 (c) 0.5 (d) 2
b
What is the fourth smallest value in 5026, 0.06, 4, -2?
5026
What is the third biggest value in 3, 114/7, 2/5?
2/5
Which is the biggest value? (a) 1/5 (b) 13920 (c) -214
b
What is the biggest value in 13/8, 35, 71/6, -2?
35
What is the fifth biggest value in -6, 2, -1/3, -2/455, -2/7?
-6
What is the biggest value in -0.3, -8/23, 2/15, -1/9, -0.05?
2/15
What is the second biggest value in -6, 2/5, -3, -59, 2/73, -0.7?
2/73
Which is the third biggest value? (a) 0.022 (b) -0.5 (c) -6/11 (d) 3.2 (e) 1/4 (f) -0.1
a
Which is the second biggest value? (a) 1/1669 (b) 7 (c) -1/2 (d) 5
d
What is the fourth smallest value in -0.026, 3, 0.01, 0.2?
3
What is the sixth smallest value in 0.5, -2, 10/481, -0.2, 1/4, -2/3?
0.5
Which is the second smallest value? (a) 0.047 (b) 3/13 (c) -9/142
a
What is the biggest value in -13, 283, -3?
283
Which is the smallest value? (a) -5/4 (b) 0 (c) -1268.8 (d) -2/15
c
Which is the fourth smallest value? (a) -0.4 (b) 3/5 (c) 0.1 (d) 14 (e) 134
d
Which is the fourth biggest value? (a) -0.07 (b) 0.3 (c) 8 (d) -0.011
a
Which is the third smallest value? (a) -5 (b) 12/11 (c) 64.6
c
What is the smallest value in 2, -3/410, -1/13?
-1/13
What is the sixth smallest value in -126, 0, 3, -0.3, -4/5, -50?
3
What is the third smallest value in 5, 20, 7?
20
What is the second smallest value in 0.122, -27, -4/9?
-4/9
Which is the smallest value? (a) 2 (b) -0.13 (c) -3 (d) 26 (e) -0.3 (f) 0.01
c
Which is the second biggest value? (a) 66 (b) 0.3 (c) -5.97
b
Which is the biggest value? (a) 4 (b) 3/5 (c) 7/11 (d) -3/2 (e) 0.05
a
What is the fourth biggest value in 2/25, 0.2, -1, 55, -4/7?
-4/7
Which is the fifth smallest value? (a) 0.3 (b) 0.2 (c) -5 (d) 253 (e) 5
d
What is the smallest value in 0.1, -46/13, 1, -10, 2/9?
-10
Which is the third biggest value? (a) 0.52 (b) -0.01 (c) 0.1
b
What is the second smallest value in 0.2, 4, -0.3, -0.4, -1, -2/455?
-0.4
Which is the second smallest value? (a) -1/33 (b) -0.1 (c) -4 (d) -44/9
c
What is the fourth biggest value in -1/3, -68, 7/15, 1?
-68
What is the third smallest value in 1/11, 76/5, -3/5?
76/5
What is the third biggest value in 44, 3, 2, -2.5?
2
Which is the smallest value? (a) -0.21 (b) -0.3 (c) 0.19254
b
Which is the biggest value? (a) 593 (b) -0.6 (c) -81
a
Which is the biggest value? (a) 2 (b) 5 (c) 11 (d) 4 (e) -1051
c
Which is the smallest value? (a) -4 (b) -2/13 (c) -40029
c
Which is the third smallest value? (a) 0.2 (b) -0.156 (c) 681
c
What is the third biggest value in 0.2, 4/7, 2, -5, 0.172?
0.2
Which is the third smallest value? (a) -4 (b) -3 (c) 0.5 (d) -14.1 (e) 6/205
b
What is the third biggest value in 0.2, 1, 3, -3/5, -4, 1.17?
1
Which is the third smallest value? (a) -2/3 (b) -1/4 (c) 8/9 (d) -19 (e) -4/49
b
What is the sixth biggest value in -0.012, 1, -4, 0, -5, -66/5?
-66/5
Which is the fifth biggest value? (a) 3/7 (b) -2/11 (c) -616 (d) -4/9 (e) -0.11
c
What is the second biggest value in 9, 5, 4, 11?
9
What is the third smallest value in 1587, -5, -3/2, -0.1, 25?
-0.1
What is the third biggest value in 1/7, 162, 0.06, 0.4, -16?
1/7
Which is the second biggest value? (a) -3/2 (b) -5 (c) -0.05 (d) -8 (e) -172
a
Which is the smallest value? (a) -6 (b) -1/2 (c) 2/11 (d) 69
a
Which is the fifth biggest value? (a) -5 (b) -1/14 (c) 19 (d) 10 (e) -2/7 (f) -5/4
f
What is the third biggest value in 495, -4, -87?
-87
Which is the second smallest value? (a) -9.76 (b) 0.01 (c) 30 (d) -1
d
What is the biggest value in 2, -0.04, 0.7, -1/52?
2
Which is the second smallest value? (a) -115 (b) 21.26 (c) -5
c
What is the third biggest value in 9, -4/3, -0.5, -3/2, -1569, 1/2?
-0.5
What is the second biggest value in 2, -1, -0.3, -165/8, -0.13, 4/5?
4/5
What is the second biggest value in 0, 17/2, -9, -0.2?
0
Which is the fifth biggest value? (a) -1/4 (b) 5 (c) 8 (d) -5/2 (e) 2
d
What is the smallest value in -5/4, 0.3, 631, -3/5, 0.1?
-5/4
Which is the second smallest value? (a) -228 (b) -0.1 (c) -3/10 (d) 2/11
c
What is the smallest value in 6704, 0.2, -14?
-14
Which is the third biggest value? (a) -135/521 (b) -1 (c) -5
c
What is the third biggest value in 14, 3, 4837?
3
Which is the sixth biggest value? (a) -5 (b) 10 (c) 12 (d) 1 (e) 1/11 (f) 2/27
a
What is the smallest value in 1/287, -2, 2/89?
-2
What is the fifth smallest value in 36, 5, 2, -3/5, 50.6?
50.6
What is the third smallest value in 0, -6.78, 7?
7
Which is the smallest value? (a) 3 (b) 1 (c) 4.754 (d) -4
d
What is the smallest value in -6, -53, -1/42?
-53
What is the smallest value in 0, 8, 1/15155?
0
What is the second smallest value in -0.473, 24, -1.1?
-0.473
Which is the third biggest value? (a) -1/8 (b) -13 (c) -3.58 (d) 2 (e) 1/4
a
What is the fourth smallest value in 163.2, 1/9, -6, 3/4?
163.2
Which is the smallest value? (a) 16 (b) 0.2 (c) 1.8 (d) 6/11 (e) -5
e
Which is the fourth biggest value? (a) -0.8 (b) 51 (c) -5 (d) 41 (e) -1/3
a
What is the second smallest value in 1/5, 3, 2/9, 962, -3?
1/5
What is the fifth biggest value in -0.03, -3/5, 2/201, 0.1, 1?
-3/5
Which is the third smallest value? (a) 2/7 (b) 4 (c) 29 (d) -1 (e) 0.1 (f) -15
e
Which is the sixth biggest value? (a) 52 (b) -1/25 (c) -4 (d) 5 (e) 0.3 (f) 0
c
Which is the second biggest value? (a) 1 (b) 24 (c) 0 (d) 1.3
d
Which is the biggest value? (a) -4731 (b) 25 (c) 3
b
Which is the fourth biggest value? (a) 3 (b) -3 (c) 0.4 (d) -3/5 (e) 0.5 (f) -19
d
Which is the second biggest value? (a) 17/242 (b) 3 (c) 0.5
c
Which is the smallest value? (a) 3 (b) -2/25 (c) -4 (d) 1 (e) -3 (f) -102
f
Which is the sixth smallest value? (a) 0.2 (b) 5 (c) -3/4 (d) 63.8 (e) -4 (f) -6
d
What is the third biggest value in 2/7, -0.1, 1, -1336, -1, 2/13?
2/13
Which is the fourth smallest value? (a) -4 (b) -4/7 (c) 52 (d) 221
d
What is the smallest value in -236.3, 11, 1/5?
-236.3
What is the third biggest value in -4, -2.792, -14, 0.4?
-4
What is the fifth smallest value in -186/5, -2/3, -9, -4, 0.04?
0.04
Which is the biggest value? (a) -5.5 (b) 1 (c) -3 (d) -5 (e) -0.05
b
What is the third biggest value in -5, -1/3, -1/4, -9/4?
-9/
|
{
"pile_set_name": "DM Mathematics"
}
|
te -2 + 2 + 2 + (-3 - 3).
-4
What is -3 - (8 - (19 - 1))?
7
Calculate 0 - 4 - (-11 + -3 + 7).
3
What is the value of 6 - (-1 - -1 - 6 - -18)?
-6
What is the value of 23 + -7 + -9 + -5 + -3?
-1
7 + -1 - (6 - 4)
4
(8 - 2) + -6 - -4
4
Evaluate -2 - ((1 - (2 + 5)) + 10).
-6
Calculate (0 - 1) + -2 + -3 + 2.
-4
What is the value of -2 - (-1 - (-1 + (6 - 5)))?
-1
Evaluate 2 - -2 - (-4 + 3).
5
What is the value of -5 - (3 + (-1 - 2))?
-5
5 + 1 + -6 + -1 + 2
1
What is the value of 1 + (3 + -3 - 4)?
-3
What is 3 + 8 - 5 - 2?
4
What is 6 - (1 - (3 + -3))?
5
Calculate 7 - (6 - (0 + 1)).
2
What is (-1 - -7) + 3 - 19?
-10
What is the value of (-7 - 0) + 9 + (1 - 5)?
-2
What is the value of -3 - (-3 + (4 + -3 - 1))?
0
Calculate 1 + 3 + -6 + 3.
1
What is the value of (0 - -2) + (5 - 8) - 1?
-2
What is the value of (5 - -2) + 2 + -9 - 0?
0
What is 3 - (-2 + -1 - -1 - 0)?
5
Calculate -2 - (-3 + 0 - 1).
2
What is the value of 17 + -33 - -18 - (-1 + 5)?
-2
Calculate -7 - -1 - (7 + -11).
-2
Evaluate 12 - 13 - (1 - -5).
-7
Calculate (-8 - (7 - 11)) + 0 + 0.
-4
What is the value of (-4 - -6) + (2 + -2 - 5)?
-3
Calculate -1 + -8 + -5 + 16.
2
Calculate (1 - 5) + (9 - (1 - -2)).
2
Evaluate (-3 + -8 - -5 - -10) + -9.
-5
((3 - 3) + -3 - 3) + 1
-5
Evaluate (-5 - 2) + (-23 - -13) + 10.
-7
What is -28 - -28 - (-1 + 3 + -2)?
0
Evaluate (-4 - 1) + 4 + -6 - -4.
-3
What is 6 + -2 + -2 + 2?
4
What is -7 - ((2 + -1 - 6) + 0)?
-2
What is 10 - 4 - 4 - (5 + -3)?
0
Evaluate 2 + -7 + 2 + 2.
-1
(2 + -7 - -13) + -5
3
What is 3 + -6 + 3 - -3 - 3?
0
What is the value of 4 + 4 - 8 - -7?
7
What is 4 + (-5 - (1 + 1))?
-3
What is -7 - (3 - 5 - 2)?
-3
Calculate (0 - 1) + (-72 - -68).
-5
What is (-15 - (-14 + 11)) + (7 - 0)?
-5
1 + 2 - (3 - 5)
5
What is (7 + 0 - 14) + 1?
-6
Calculate -4 - (-11 + 3 - -5).
-1
What is 2 + 9 + (15 - 23)?
3
What is the value of 0 + 2 + (-2 - 1) - 3?
-4
Evaluate (3 - 8) + 2 + 1.
-2
What is the value of (1 - 1) + -6 + 4 + -2?
-4
What is -4 - ((7 - -5) + -19)?
3
Evaluate (-10 - -12) + (-3 - 0).
-1
Calculate (2 - 1) + -1 + (11 - 6).
5
76 - 81 - (0 - 7)
2
Calculate 4 + (-4 - -5) + -1.
4
What is the value of 3 + -2 + 2 - 4?
-1
Evaluate -2 + 2 + -3 + 9 + -2.
4
Calculate (11 - 0) + -14 + 10.
7
What is the value of 3 + 1 + -2 + 2 + -4?
0
What is the value of -5 + -3 + 6 + -1?
-3
Evaluate -1 - (-6 + (-10 - -8)).
7
Calculate 12 + (-9 - -5) + -6.
2
(-1 + 7 - 5) + 0
1
What is the value of -1 - (7 - 9 - (-2 - 1))?
-2
(-2 - 2) + (6 - -2) + -7
-3
1 - ((-4 - -3) + 5)
-3
8 - (2 + -4) - 5
5
What is the value of 4 - 4 - 7 - -2?
-5
What is -2 + 6 + -3 - 3?
-2
What is (12 + 6 - 17) + (0 - 8)?
-7
Calculate (0 + 2 - 0 - 2) + -2.
-2
(-2 - 0) + -3 - (2 + -7)
0
-2 - (6 - 4) - -4
0
What is 3 + -2 - (-10 - -8) - 3?
0
What is (-2 - 3) + -1 + 3 - -8?
5
Evaluate -11 - (0 - (-4 + 6)).
-9
(3 - -6 - 15) + 6 + 1
1
What is -43 + 47 + 0 + 0 + 1?
5
What is 3 + 2 + (-18 - -13)?
0
What is the value of -7 + 7 + (0 - -3) + -5?
-2
Evaluate 0 + (0 + -4 - 0).
-4
Evaluate 1 - (5 + -7 - 3 - -1).
5
What is the value of 1 + -4 - -2 - (-3 - 0)?
2
What is the value of -3 - (10 + -7 - -3 - 20)?
11
What is -4 - 1 - (13 - (-13 - -26))?
-5
Calculate 0 - (-1 - (-3 + -3)).
-5
Evaluate 5 + -15 + 9 + -4 + -5.
-10
Calculate -4 + 4 + (-2 + 6 - 0).
4
Calculate (0 - (-3 + 7)) + 1.
-3
Evaluate (8 - 7 - (0 - -1)) + -5.
-5
Calculate -1 + 0 - (28 + -28).
-1
What is (12 - 15) + 2 + -2 + -4?
-7
Evaluate 217 - 205 - (-1 + 8).
5
Evaluate 2 + -2 + -5 - -1.
-4
What is (3 - 1) + 17 + -13?
6
What is the value of -8 + (2 - 4 - (-3 + -2))?
-5
What is the value of -6 - (0 + (-6 - (10 + 1)))?
11
What is 2 + -3 - -8 - 1?
6
Calculate 3 + -1 + 1 + 15 + -17.
1
What is (1 - 2) + 4 - 8?
-5
What is (-2 - -1) + 5 - 0?
4
-2 + (9 - 4 - -1) - 4
0
(0 - -6) + -4 + (0 - 2)
0
Calculate 1 + -10 - (6 + -15 + 4).
-4
What is the value of 2 - (-9 + 3 + -3 - -5)?
6
What is (-12 - -10) + -2 + 14?
10
Evaluate (19 + -17 - (-3 + 13)) + -3.
-11
What is the value of -7 + 10 + (4 - (12 + -6))?
1
What is -3 + (3 - (7 - 5)) - -9?
7
Calculate (4 - (-9 - -16)) + (-1 - -4).
0
What is the value of -3 + 3 + -1 + -1?
-2
What is the value of -1 + -5 - (-3 + 0 + -1)?
-2
Calculate -7 + (17 + 1 - (42 - 35)).
4
What is the value of -3 + (23 + -11 - 6)?
3
Calculate (2 - (2 + 5)) + 10.
5
What is the value of (-1 + -1 - (2 - 7)) + -3?
0
(-12 - (-6 + -4)) + -1
-3
Evaluate (17 - 20) + -2 + (-1 - -2).
-4
Calculate 0 - (9 + -5 + -2).
-2
Calculate 2 + -6 - (-27 + 22).
1
Calculate -3 + -1 + 2 + -1 + 7.
4
-16 - (-4 + (2 - 8))
-6
-2 + 10 - (-7 - -16)
-1
Evaluate -7 + -15 + 14 + -1.
-9
Evaluate -10 + 0 - -17 - 12.
-5
Calculate 25 + (-1 - 5) + -11.
8
What is the value of -6 + (-3 + 4 - (-7 - -1))?
1
Calculate -1 + (-1 - 2 - 1).
-5
(7 - 8) + (2 - -8 - 1)
8
Evaluate -2 - 6 - (-2 + 0 + -1).
-5
What is the value of 8 - 2 - (3 - (-1 + 4))?
6
Calculate (-6 - (-4 - 0) - -2) + 4.
4
What is 0 + 2 + -4 + 4 - 0?
2
What is the value of (-2 - (-2 - -1)) + 49 + -48?
0
What is the value of (-4 - (-1 - 3) - -3) + -4?
-1
Calculate 10 + -17 + 9 + -9.
-7
What is the value of 0 - (-9 - (-4 - (-1 - -1)))?
5
2 + (-4 - 3) - (2 - 2)
-5
What is the value of (2 - -1) + (-2 - -1)?
2
What is the value of 11 + (0 + 6 + -11 - 2)?
4
What is -7 + 9 + (-6 - 4) + 1?
-7
Calculate 0 - (5 + -11 - -1).
5
Calculate (3 - 2) + (-7 - -17 - 18).
-7
What is -2 - ((-2 - -2) + 1) - 2?
-5
Calculate -2 - (-1 + -3) - 5.
-3
Calculate 2 + (-5 + 3 - -16) + -7.
9
Calculate (-70 + 67 - (0 - -6)) + 4.
-5
What is the value of -4 + 3 + -1 + -3?
-5
Calculate -5 + (10 - (8 - 5)).
2
4 - (3 + -3 - -4)
0
(-5 + -2 - -10 - 6) + -6
-9
Calculate -1 + (-7 - (-3 - 1)) + 13.
9
Calculate -8 + 2 + -3 + 7.
-2
(-14 - -3 - -15) + 0
4
What is the value of 1 + 0 + (13 - 18)?
-4
What is -3 - (-12 + 13 + -10)?
6
What is (0 - 3) + 3 + 1?
1
Evaluate (5 - (-13 - (-3 - 4))) + -4.
7
What is -5 + (0 + 5 - -2)?
2
Evaluate 0 + -1 + -3 + 1.
-3
(-2 - -5) + 0 + 3 + -7
-1
What is 0 - (3 - (-7 - -4 - -1))?
-5
-2 - -1 - (5 + -6)
0
Evaluate 1 + -6 + 4 - (0 - -3).
-4
Calculate (-3 - (-1 - 2)) + -1 + 3.
2
Evaluate (5 - (4 + 4)) + -1.
-4
Evaluate -17 - ((-10 - -7) + -8).
-6
Evaluate -1 - -1 - (-3 + 2 + -2).
3
-2 + 1 + (2 - (-2 - -6))
-3
What is the value of 0 + -3 + (-4 - -2)?
-5
What is the value of 5 - (7 - (4 - -1))?
3
Evaluate 1 - (2 + -4) - 1 - 0.
2
What is the value of -3 - (-1 + 0 + 3 + -4)?
-1
What is 4 + (-5 - -2) + (-3 - -4)?
2
Calculate -7 - 1 - (6 - 10).
-4
Evaluate 0 - (2 - (5 + (-6 - -4))).
1
Calculate 4 + (0 + -4 - 1) - 4.
-5
What is the value of -1 + -1 + 36 + -35?
-1
Evaluate 36 + -28 + -5 + 1.
4
What is the value of (-6 - -6) + (-3 - (2 + -4))?
-1
Calculate 3 - (2 + 2) - (-2 + 3).
-2
Evaluate -2 + -6 + (-4 - -8).
-4
Evaluate -7 + 5 - (-11 + 4).
5
Calculate -2 - (-3 + 2 + -5).
4
What is 1 - -5 - (8 - 8)?
6
What is the value of 7 - (-10 - -7 - -7)?
3
6 + (2 - 2) - (-22 - -33)
-5
Evaluate -76 + 70 + (-1 - -6).
-1
Evaluate 1 - -2 - (10 - 3).
-4
What is the value of -4 + (10 - (4 + -5 + 3))?
4
What is the value of 4 + (4 - 4) + 2 + -5?
1
Calculate -1 + 0 - (6 + -7 + 4).
-4
What is 8 + (-14 - (-14 + 1))?
7
What is the value of 9 - (-4 + 0 - (-7 + -1))?
5
Evaluate 7 + (5 - 11) + 1.
2
What is the value of (-3 - -5) + (3 - 1)?
4
What is 0 + 2 + -4 - (-1 + 3)?
-4
Calculate -2 + 3 - (-21 - -29).
-7
What is -7 - (5 - (-8 - (-13 + -1)))?
-6
What is the value of 4 - (1 + -4 + 4)?
3
What is (4 - -1) + -3 + -4?
-2
Calculate -20 - -19 - (-1 + -1 + 1).
0
Evaluate (-5 - -6) + (2 - 3).
0
Calculate 57 + -68 + 0 + 5.
-6
-11 - (2 + 9 - 22)
0
Calculate 7 + 6 - 5 - (-3 - -4).
7
What is the value of -23 + 22 - (-5 - (1 - 0))?
5
Evaluate -4 + 18 - (-1 - -9).
6
Calculate -3 - 2 - -6 - 4.
-3
-4 - (-2 - -4 - (10 + -8))
-4
What is the value of -8 - (0 - -3 - 7)?
-4
Evaluate (-2 - -5) + 2 + -9.
-4
Calculate -2 - ((2 - 3) + 0 + -5).
4
Evaluate (-17 - -21) + 1 + 0.
5
Evaluate 2 - 5 - ((1 - -1) + -6).
1
Evaluate 5 - (-2 + 7) - -1.
1
What is (-4 - -2) + 0 + (3 - 6)?
-5
What is the value of -3 - (3 - 3) - -2?
-1
-2 + -4 + 1 + (3 - 4)
-6
Evaluate -32 - -21 - (-3 - 0).
-8
What is the value of 3 + 4 + -3 + -3 + 4?
5
Calculate -1 + (-7 - -4) + (1 - 2).
-5
What is 5 + -5 + (1 - -1 - 0)?
2
What is the value of 0 - 6 - (-20 + 21)?
-7
Evaluate -2 + -3 + 7 + -6.
-4
What is (10 - 1) + -11 + 3?
1
What is the value o
|
{
"pile_set_name": "DM Mathematics"
}
|
{d: 1, z: 1, f: 14}. What is prob of picking 1 d and 1 z?
1/120
Two letters picked without replacement from rrwewerere. Give prob of picking 1 e and 1 w.
8/45
What is prob of picking 1 w, 1 j, and 2 u when four letters picked without replacement from jjuwujwwjujjju?
18/143
Four letters picked without replacement from hhrhkkh. Give prob of picking 1 k and 3 h.
8/35
What is prob of picking 1 i and 1 p when two letters picked without replacement from {i: 4, p: 5, j: 6}?
4/21
Two letters picked without replacement from {s: 2, w: 5}. Give prob of picking 2 s.
1/21
Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {h: 1, s: 5, g: 3, y: 1, a: 2}.
5/66
What is prob of picking 3 w when three letters picked without replacement from {j: 5, w: 14}?
364/969
What is prob of picking 1 p, 1 q, and 1 w when three letters picked without replacement from pvpzxvwvvwqz?
1/55
Two letters picked without replacement from otiowtwwcitoh. Give prob of picking 1 c and 1 w.
1/26
Four letters picked without replacement from {q: 13, n: 5}. What is prob of picking 3 q and 1 n?
143/306
What is prob of picking 1 e and 1 j when two letters picked without replacement from jeejejg?
3/7
What is prob of picking 1 g and 1 y when two letters picked without replacement from gggggygg?
1/4
What is prob of picking 1 a, 1 l, and 1 p when three letters picked without replacement from {x: 2, p: 1, l: 4, a: 1, g: 1, w: 3}?
1/55
What is prob of picking 1 m, 1 i, and 1 a when three letters picked without replacement from {m: 7, p: 8, j: 2, g: 1, a: 1, i: 1}?
7/1140
Calculate prob of picking 3 c and 1 x when four letters picked without replacement from cncccccxncccnn.
12/143
Two letters picked without replacement from {e: 5, z: 2, y: 9}. What is prob of picking 1 y and 1 z?
3/20
Two letters picked without replacement from {h: 1, q: 7}. What is prob of picking 1 h and 1 q?
1/4
What is prob of picking 2 i when two letters picked without replacement from {i: 5, z: 3}?
5/14
Three letters picked without replacement from {y: 1, n: 2, s: 1, k: 3}. Give prob of picking 2 k and 1 y.
3/35
Calculate prob of picking 3 e when three letters picked without replacement from {o: 1, e: 14}.
4/5
Calculate prob of picking 3 d when three letters picked without replacement from fod.
0
Three letters picked without replacement from accactrtyrrcrcra. What is prob of picking 2 t and 1 a?
3/560
What is prob of picking 2 c and 1 d when three letters picked without replacement from {c: 2, d: 6, z: 7}?
6/455
Calculate prob of picking 2 t when two letters picked without replacement from {a: 3, u: 6, y: 3, t: 2, l: 2}.
1/120
What is prob of picking 1 g and 1 i when two letters picked without replacement from {v: 1, e: 2, u: 1, p: 1, g: 1, i: 1}?
1/21
What is prob of picking 3 n when three letters picked without replacement from ncnnnncnnncnnncnnnnn?
28/57
Three letters picked without replacement from {r: 2, u: 5, t: 5, s: 1, c: 1, m: 1}. Give prob of picking 2 u and 1 r.
4/91
What is prob of picking 2 m and 1 v when three letters picked without replacement from mvvvm?
3/10
Calculate prob of picking 2 r and 1 c when three letters picked without replacement from uurururururrcuu.
3/91
What is prob of picking 1 y and 2 e when three letters picked without replacement from exjejyjyjejyvtevjjty?
2/95
What is prob of picking 2 b when two letters picked without replacement from bbb?
1
Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {h: 4, a: 1, u: 1, w: 6, c: 3}.
4/105
Three letters picked without replacement from gnn. What is prob of picking 2 g and 1 n?
0
Calculate prob of picking 1 q and 1 b when two letters picked without replacement from ybyxyxyxqxvyybxy.
1/60
Three letters picked without replacement from geaaeaaageeaeegaa. Give prob of picking 2 a and 1 e.
21/85
Two letters picked without replacement from dbbaf. What is prob of picking 2 b?
1/10
What is prob of picking 3 m and 1 f when four letters picked without replacement from {e: 2, m: 4, f: 5}?
2/33
Three letters picked without replacement from kkmmkk. What is prob of picking 1 k and 2 m?
1/5
Calculate prob of picking 1 s, 1 i, and 2 a when four letters picked without replacement from ijstaiaiii.
1/42
Two letters picked without replacement from iiaaai. What is prob of picking 1 a and 1 i?
3/5
Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {m: 1, b: 10, t: 1, c: 1}.
1/78
Three letters picked without replacement from xvbzsav. What is prob of picking 1 x, 1 v, and 1 s?
2/35
Calculate prob of picking 1 e and 2 l when three letters picked without replacement from esnessnlslsssrrlers.
3/323
What is prob of picking 3 p when three letters picked without replacement from {j: 6, m: 9, p: 4}?
4/969
Two letters picked without replacement from {q: 4, b: 3}. Give prob of picking 2 b.
1/7
Two letters picked without replacement from {h: 1, i: 1, u: 1, p: 2}. What is prob of picking 2 p?
1/10
Three letters picked without replacement from {c: 4}. Give prob of picking 3 c.
1
Three letters picked without replacement from {i: 2, o: 2, u: 4, h: 2, b: 6, k: 1}. What is prob of picking 1 i and 2 h?
1/340
Calculate prob of picking 1 n and 1 o when two letters picked without replacement from tjjnqojj.
1/28
What is prob of picking 1 x and 2 f when three letters picked without replacement from {f: 4, x: 2}?
3/5
What is prob of picking 2 c when two letters picked without replacement from cncnhchcncnhc?
5/26
Two letters picked without replacement from {y: 2, w: 1}. What is prob of picking 2 y?
1/3
What is prob of picking 1 t, 1 f, 1 k, and 1 e when four letters picked without replacement from {e: 8, k: 1, f: 7, t: 4}?
224/4845
Four letters picked without replacement from {n: 18, m: 2}. What is prob of picking 1 m and 3 n?
32/95
Two letters picked without replacement from {e: 1, y: 3}. What is prob of picking 2 y?
1/2
What is prob of picking 2 v when two letters picked without replacement from vbbbbvvvbbbv?
5/33
What is prob of picking 2 u and 1 k when three letters picked without replacement from kkkkxxauaau?
4/165
Calculate prob of picking 1 j and 2 n when three letters picked without replacement from {j: 2, h: 1, g: 6, n: 4}.
6/143
Calculate prob of picking 2 v when two letters picked without replacement from {o: 7, i: 1, t: 1, x: 3, v: 4}.
1/20
What is prob of picking 2 a when two letters picked without replacement from {a: 5, f: 3}?
5/14
Calculate prob of picking 4 i when four letters picked without replacement from iqiqqqqiqiqqqqqqqq.
1/3060
Two letters picked without replacement from jnuvunpynnuynvv. Give prob of picking 1 n and 1 p.
1/21
Three letters picked without replacement from jjpjppp. What is prob of picking 2 j and 1 p?
12/35
Three letters picked without replacement from {m: 3, k: 12}. What is prob of picking 1 m and 2 k?
198/455
Three letters picked without replacement from mmmmmmmmemmemem. What is prob of picking 1 m and 2 e?
36/455
Three letters picked without replacement from {f: 3, h: 2, c: 4}. Give prob of picking 1 f and 2 h.
1/28
Calculate prob of picking 2 r when two letters picked without replacement from rppppppprprpppprprr.
5/57
What is prob of picking 2 o when two letters picked without replacement from oooeggohoolohg?
3/13
Two letters picked without replacement from zzzhzhzhhzzhzzzzzz. Give prob of picking 2 z.
26/51
Three letters picked without replacement from kkkkk. Give prob of picking 3 k.
1
Three letters picked without replacement from quqppppuqh. What is prob of picking 2 p and 1 q?
3/20
Four letters picked without replacement from yzymyzyyyzyyzm. Give prob of picking 2 y, 1 z, and 1 m.
32/143
What is prob of picking 2 q and 1 h when three letters picked without replacement from bbqhhhbhhb?
0
Calculate prob of picking 1 r, 1 m, 1 t, and 1 o when four letters picked without replacement from toopmtrmmtm.
4/55
Three letters picked without replacement from jszzzeeuzkje. What is prob of picking 1 k, 1 z, and 1 s?
1/55
Two letters picked without replacement from appp. Give prob of picking 1 p and 1 a.
1/2
Two letters picked without replacement from {u: 3, z: 3}. Give prob of picking 2 u.
1/5
Two letters picked without replacement from {d: 1, b: 4, u: 6, t
|
{
"pile_set_name": "DM Mathematics"
}
|
of 20120 and 60360?
60360
Calculate the smallest common multiple of 8 and 312206.
1248824
What is the common denominator of -107/16632 and -79/425040?
3825360
Calculate the smallest common multiple of 1248 and 17160.
68640
What is the smallest common multiple of 32550 and 4?
65100
Calculate the common denominator of 95/158446 and 19/154.
12200342
Calculate the lowest common multiple of 1422 and 46926.
46926
Calculate the common denominator of -9/13 and -3/185926.
185926
What is the least common multiple of 64904 and 1220?
324520
Calculate the common denominator of -35/32 and -89/1176.
4704
Calculate the common denominator of 43/359360 and -97/16.
359360
Calculate the smallest common multiple of 7148 and 4.
7148
Calculate the smallest common multiple of 6 and 546430.
1639290
Find the common denominator of -127/3960 and -37/28170.
1239480
What is the smallest common multiple of 2070 and 174225?
1045350
Find the common denominator of 111/20 and 13/3084396.
15421980
What is the lowest common multiple of 531 and 15753?
47259
Calculate the common denominator of 55/177123 and -123/322.
2479722
Find the common denominator of -97/24 and -83/396684.
793368
What is the lowest common multiple of 3504 and 162?
94608
Calculate the common denominator of -91/21120 and -47/7.
147840
What is the common denominator of -1/540 and -119/900?
2700
Calculate the least common multiple of 28 and 692.
4844
What is the common denominator of 157/13800 and -109/1000?
69000
What is the common denominator of 121/24 and -89/385968?
385968
Find the common denominator of 115/6 and -41/5568226.
16704678
Calculate the lowest common multiple of 2541 and 51.
43197
Calculate the lowest common multiple of 150 and 43590.
217950
Calculate the lowest common multiple of 278392 and 6256.
556784
Calculate the smallest common multiple of 1 and 162809.
162809
Calculate the common denominator of 77/32 and -55/1072.
2144
Calculate the common denominator of 67/12495 and 39/272.
199920
Calculate the lowest common multiple of 1914 and 5742.
5742
Find the common denominator of -55/27349 and -11/54698.
54698
Calculate the common denominator of 149/185706 and 1/20634.
185706
Calculate the least common multiple of 18786 and 6262.
18786
Calculate the smallest common multiple of 2337 and 328.
18696
What is the smallest common multiple of 28974 and 231?
202818
What is the least common multiple of 1116 and 3816?
118296
What is the lowest common multiple of 14 and 36506?
255542
Calculate the common denominator of -9/157 and -73/201.
31557
What is the least common multiple of 252 and 5376?
16128
What is the smallest common multiple of 402 and 326826?
326826
What is the common denominator of 23/473 and 63/335?
158455
Calculate the common denominator of 43/33440 and 109/950.
167200
What is the smallest common multiple of 5830 and 1100?
58300
Calculate the least common multiple of 54 and 63.
378
Calculate the least common multiple of 99 and 32417.
291753
Calculate the least common multiple of 1463 and 4807.
33649
Calculate the lowest common multiple of 122484 and 449108.
1347324
Calculate the least common multiple of 1755 and 693.
135135
Find the common denominator of -31/427 and -23/610.
4270
Calculate the common denominator of 4/562023 and 46/189.
1686069
Find the common denominator of 73/396 and 1/4356.
4356
Calculate the smallest common multiple of 2768 and 3.
8304
What is the common denominator of 67/906 and -79/630?
95130
What is the common denominator of -9/40 and 107/196?
1960
Calculate the common denominator of -49/35880 and 35/6072.
394680
What is the lowest common multiple of 50108 and 4?
50108
Calculate the smallest common multiple of 17784 and 6669.
53352
What is the common denominator of -47/9020 and -71/2050?
45100
Calculate the smallest common multiple of 1797007 and 7.
12579049
What is the smallest common multiple of 7315 and 55385?
387695
What is the common denominator of -22/45871 and -97/39318?
275226
Calculate the smallest common multiple of 22518 and 3753.
22518
Calculate the least common multiple of 3718 and 338.
3718
What is the common denominator of -5/4 and 89/4075864?
4075864
Calculate the smallest common multiple of 240 and 240.
240
Calculate the common denominator of 49/9159 and 93/2.
18318
Calculate the common denominator of -89/30 and 1/350.
1050
Calculate the common denominator of -23/39216 and -13/1720.
196080
What is the common denominator of 117/51212 and 85/160952?
1126664
What is the least common multiple of 2275 and 123435?
4320225
Calculate the lowest common multiple of 6957 and 13914.
13914
Calculate the common denominator of -20/4371 and -83/10810.
1005330
Find the common denominator of -123/41780 and -69/1360.
2841040
Calculate the lowest common multiple of 35 and 211910.
1483370
Calculate the least common multiple of 24 and 1123278.
4493112
What is the least common multiple of 32 and 303580?
2428640
What is the common denominator of 57/2374 and 15/13057?
26114
What is the lowest common multiple of 3552 and 14208?
14208
Calculate the common denominator of 29/551840 and 103/689800.
2759200
Find the common denominator of 83/18 and -47/1188.
1188
What is the smallest common multiple of 74299 and 3820?
1485980
What is the least common multiple of 24 and 162504?
162504
What is the common denominator of 63/547712 and 32/38511?
4929408
Calculate the common denominator of -3/190 and -59/148.
14060
Calculate the lowest common multiple of 16816 and 10.
84080
Find the common denominator of 83/763851 and 143/3516.
3055404
Find the common denominator of -187/3690 and 23/6150.
18450
What is the common denominator of 47/127542 and -1/1827?
2678382
What is the least common multiple of 227730 and 21?
1594110
What is the common denominator of -17/1664 and 83/201344?
201344
What is the lowest common multiple of 70 and 204?
7140
What is the lowest common multiple of 48 and 62536?
375216
What is the common denominator of -115/21384 and -25/4374?
192456
Calculate the least common multiple of 48 and 22384.
67152
What is the lowest common multiple of 125534 and 966?
2636214
Find the common denominator of -103/1628 and 115/3626.
79772
Find the common denominator of 79/40815 and 16/225.
204075
What is the least common multiple of 154880 and 8?
154880
Calculate the common denominator of 37/3322367 and 10/9.
29901303
Calculate the common denominator of -131/23100 and 37/231.
23100
What is the common denominator of 74/25203 and -131/1626?
50406
What is the common denominator of 101/3122 and 38/33?
103026
What is the common denominator of -29/185560 and 187/960?
4453440
Calculate the common denominator of 93/10430 and -25/154.
114730
Calculate the common denominator of -1/346050 and 62/34605.
346050
What is the common denominator of -64/467795 and 61/20?
1871180
What is the least common multiple of 38010 and 7602?
38010
What is the lowest common multiple of 1758 and 114?
33402
Find the common denominator of 10/466551 and 32/466551.
466551
What is the lowest common multiple of 768 and 768?
768
Calculate the smallest common multiple of 911368 and 40.
4556840
Calculate the lowest common multiple of 94169 and 11.
1035859
What is the common denominator of 29/2849 and 15/49?
19943
What is the common denominator of 47/554125 and -59/554125?
554125
Calculate the smallest common multiple of 108339 and 82075.
2708475
Find the common denominator of 62/250985 and 179/215130.
1505910
Find the common denominator of -121/486 and -173/10320.
835920
Find the common denominator of 87/40580 and -71/60.
121740
Calculate the lowest common multiple of 65839 and 790068.
790068
Calculate the least common multiple of 1470 and 980.
2940
Find the common denominator of -71/70 and -79/735.
1470
Calculate the common denominator of 67/62 and 87/115568.
115568
Find the common denominator of -79/369872 and 101/24.
1109616
Find the common denominator of -67/88 and -47/10608.
116688
Calculate the common denominator of 92/45 and -83/104310.
104310
What is the smallest common multiple of 3493 and 3992?
27944
Find the common denominator of -50/99 and -42/25.
2475
Calculate the smallest common multiple of 30682 and 12006.
276138
Calculate the common denominator of -121/125892 and 7/13988.
125892
Calculate the lowest common multipl
|
{
"pile_set_name": "DM Mathematics"
}
|
1, g: 4}?
3/11
Two letters picked without replacement from {c: 9, i: 1, f: 2, y: 3, r: 3}. What is prob of picking 2 c?
4/17
What is prob of picking 2 w when two letters picked without replacement from {x: 1, w: 14}?
13/15
Four letters picked without replacement from {j: 12, c: 3}. What is prob of picking 3 c and 1 j?
4/455
Four letters picked without replacement from {h: 2, e: 17}. What is prob of picking 4 e?
35/57
Three letters picked without replacement from lttycccycyt. What is prob of picking 3 c?
4/165
What is prob of picking 1 g and 1 u when two letters picked without replacement from gggu?
1/2
Three letters picked without replacement from pdwmpm. What is prob of picking 1 m and 2 p?
1/10
Calculate prob of picking 2 t and 2 g when four letters picked without replacement from {t: 10, g: 9}.
135/323
Calculate prob of picking 2 m when two letters picked without replacement from {f: 1, m: 14}.
13/15
Three letters picked without replacement from {g: 2, j: 4}. What is prob of picking 1 j and 2 g?
1/5
Four letters picked without replacement from {h: 1, z: 4, y: 1, o: 2, w: 6, q: 1}. Give prob of picking 1 q, 2 w, and 1 y.
1/91
Calculate prob of picking 1 x and 3 k when four letters picked without replacement from {i: 4, o: 1, g: 1, k: 3, x: 1, d: 6}.
1/1820
What is prob of picking 2 n when two letters picked without replacement from nzzngggnnnzgnngzn?
7/34
Two letters picked without replacement from vlllllttp. What is prob of picking 2 t?
1/36
Three letters picked without replacement from zezezpzs. What is prob of picking 2 z and 1 e?
3/14
Three letters picked without replacement from tuhudvduuu. Give prob of picking 1 t and 2 u.
1/12
Three letters picked without replacement from {o: 6, s: 1, n: 3, b: 2, e: 1, q: 2}. What is prob of picking 2 q and 1 n?
3/455
Three letters picked without replacement from jdzdddjjzjjj. Give prob of picking 3 j.
1/11
What is prob of picking 1 m, 1 g, and 1 p when three letters picked without replacement from mngnpngadpdg?
3/110
Four letters picked without replacement from dzzewuwzdwdzzzezoewd. Give prob of picking 1 d, 1 u, and 2 w.
8/1615
What is prob of picking 3 r when three letters picked without replacement from usrsu?
0
What is prob of picking 4 w when four letters picked without replacement from zwzxzxxxzzwzwzzzwzz?
1/3876
Three letters picked without replacement from ibiivviivvixbvbbv. What is prob of picking 3 v?
1/34
Four letters picked without replacement from rrnnururururnrnrrrr. Give prob of picking 1 n and 3 r.
55/323
Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, q: 5}.
1/21
Two letters picked without replacement from {h: 1, t: 5, o: 5, g: 4, v: 1}. What is prob of picking 1 t and 1 v?
1/24
Two letters picked without replacement from iiiiiiiiii. What is prob of picking 2 i?
1
Two letters picked without replacement from lssllkfkkkmkfskkklk. Give prob of picking 1 s and 1 k.
3/19
What is prob of picking 2 k and 1 w when three letters picked without replacement from diddiidwkdidddkrrdid?
1/1140
Calculate prob of picking 3 p and 1 n when four letters picked without replacement from {p: 7, n: 7}.
35/143
Four letters picked without replacement from hbbbbblbbbhbhbb. What is prob of picking 2 b, 1 h, and 1 l?
11/91
Two letters picked without replacement from sprspprrp. Give prob of picking 2 r.
1/12
Four letters picked without replacement from {y: 3, m: 2, v: 5}. What is prob of picking 2 m and 2 v?
1/21
Calculate prob of picking 2 u, 1 j, and 1 k when four letters picked without replacement from kukmhmuukummhjkkkhuh.
4/323
Calculate prob of picking 1 t and 2 u when three letters picked without replacement from {t: 3, u: 3, r: 2}.
9/56
Four letters picked without replacement from {e: 2, g: 10}. Give prob of picking 4 g.
14/33
What is prob of picking 1 b, 1 f, and 1 c when three letters picked without replacement from {f: 3, c: 1, b: 4}?
3/14
What is prob of picking 2 w and 2 r when four letters picked without replacement from {m: 2, r: 5, w: 2}?
5/63
What is prob of picking 1 q and 1 d when two letters picked without replacement from ddqdcdhqdchqqn?
20/91
Two letters picked without replacement from gidlcdlh. What is prob of picking 1 c and 1 h?
1/28
Four letters picked without replacement from ttlaxtttlalllta. Give prob of picking 1 x, 1 a, and 2 l.
2/91
Calculate prob of picking 2 t when two letters picked without replacement from zzzttxt.
1/7
Three letters picked without replacement from ggwmggggmxwxwgwg. What is prob of picking 1 m, 1 x, and 1 g?
2/35
What is prob of picking 2 u and 2 p when four letters picked without replacement from {u: 5, j: 4, p: 8}?
2/17
Two letters picked without replacement from {p: 3, l: 1, j: 1, m: 1, f: 1}. Give prob of picking 1 l and 1 m.
1/21
Four letters picked without replacement from xoonninoininoin. Give prob of picking 2 n and 2 i.
6/91
Four letters picked without replacement from vrarkk. What is prob of picking 1 v, 2 r, and 1 a?
1/15
Two letters picked without replacement from qcnqtyi. Give prob of picking 1 c and 1 t.
1/21
Two letters picked without replacement from nnnbnnnnnnnb. What is prob of picking 1 n and 1 b?
10/33
Two letters picked without replacement from lqql. Give prob of picking 2 l.
1/6
Two letters picked without replacement from epeeueeupwe. What is prob of picking 1 w and 1 u?
2/55
Calculate prob of picking 1 d, 1 x, and 1 l when three letters picked without replacement from {m: 1, d: 2, j: 5, l: 1, x: 1}.
1/60
Calculate prob of picking 2 g and 1 n when three letters picked without replacement from nnnngnlngnnnnzn.
11/455
Calculate prob of picking 2 m when two letters picked without replacement from mkmm.
1/2
Two letters picked without replacement from jvgjjgomvvvggcc. Give prob of picking 1 j and 1 g.
4/35
What is prob of picking 1 y and 1 w when two letters picked without replacement from {y: 3, w: 8}?
24/55
Calculate prob of picking 1 c and 1 v when two letters picked without replacement from cimgviffv.
1/18
Two letters picked without replacement from {n: 1, i: 2, l: 2, j: 8}. What is prob of picking 1 j and 1 i?
8/39
Three letters picked without replacement from oozoottzy. What is prob of picking 1 o, 1 t, and 1 y?
2/21
What is prob of picking 4 f when four letters picked without replacement from ffff?
1
Calculate prob of picking 1 b, 1 g, and 1 c when three letters picked without replacement from {b: 4, y: 4, c: 6, t: 1, z: 2, g: 3}.
6/95
Three letters picked without replacement from xkkxqe. What is prob of picking 1 e and 2 k?
1/20
Two letters picked without replacement from llovvvfvfvvfufuv. What is prob of picking 1 l and 1 v?
7/60
Calculate prob of picking 2 p when two letters picked without replacement from {y: 2, v: 1, p: 2}.
1/10
Three letters picked without replacement from {d: 2, e: 2, j: 1, p: 1, n: 1, y: 1}. Give prob of picking 1 e, 1 n, and 1 p.
1/28
Calculate prob of picking 1 r, 1 x, and 1 q when three letters picked without replacement from {q: 3, x: 1, h: 7, r: 3}.
9/364
Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {f: 1, t: 1, c: 4, l: 2, p: 8}.
2/15
What is prob of picking 1 g, 1 w, and 1 o when three letters picked without replacement from {o: 1, h: 2, f: 1, w: 1, n: 1, g: 1}?
1/35
Two letters picked without replacement from {e: 2, d: 1, u: 1, l: 2, w: 2}. Give prob of picking 1 e and 1 u.
1/14
What is prob of picking 2 t when two letters picked without replacement from {p: 3, t: 3, g: 9, j: 5}?
3/190
Calculate prob of picking 3 l when three letters picked without replacement from lanllnla.
1/14
Two letters picked without replacement from zzzzzzzzzszzzszzzzz. Give prob of picking 2 z.
136/171
Calculate prob of picking 2 r when two letters picked without replacement from bffrprrrrfrfr.
7/26
What is prob of picking 1 a and 1 t when two letters picked without replacement from trwatarrtoattt?
18/91
Two letters picked without replacement from {m: 7, t: 1, i: 2, j: 2}. Give prob of picking 1 t and 1 m.
7/66
Calculate prob of picking 2 v when two letters picked without replacement from {r: 1, d: 7, v: 4, a: 1, y: 2}.
2/35
Four letters picked without replacement from rfrfrrffrrfrrfffrrf. What is prob of picking 4 r?
35/646
What is prob of picking
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*q - 428 = 0, 3*q - 194 = -2*j. Suppose 9*w = 4*w + 495. Calculate the lowest common multiple of j and w.
792
Let u be (-2 - 20/(-7))*119. Let p = 64 - u. Let w = p + 65. Calculate the lowest common multiple of 18 and w.
54
Let h = -714 + 716. Suppose -5*y + f = -45, -h*y + 2*f - 12 = -22. What is the lowest common multiple of y and 56?
280
Let q = -76252/13305 + -2/887. Calculate the common denominator of -41/126 and q.
630
Let h = -318 - -608. Calculate the lowest common multiple of 66 and ((-928)/h)/(2/(-10)).
528
Suppose 5*b + 4*a = -40, b = 4*b - a + 7. Let y = 15788 - 505141/32. What is the common denominator of b/14 + (-1098)/28 and y?
32
Let f = -32561/5 - -6514. Calculate the common denominator of -29/2074 and f.
10370
Let z(c) = 4*c**2 - 82*c + 406. What is the lowest common multiple of z(8) and 876?
876
Suppose 3*u + 480 = -2*u. Let b = u + 1153/12. What is the common denominator of b and (-590)/(-64)*(-138)/(-345)?
48
Let r = -90 - -345. Let t = -241 + r. Calculate the smallest common multiple of t and 1416/78 - 2/13.
126
Suppose -2*x - 5*i + 1648 = -5*x, x = 5*i - 536. Let d = 626 + x. Calculate the smallest common multiple of d and 126.
630
Suppose -a - 4 = -3*v, -a + v = -0*v. Let q be (-1)/(2*1/a)*1. Let o(h) = 2*h**2 + 1. What is the smallest common multiple of o(q) and 30?
30
Let o(v) = -15*v - 81. Let s = -47 - -62. What is the smallest common multiple of s and o(-6)?
45
Let l(k) be the second derivative of k**3/6 + 7*k**2 - 9*k. Suppose 27 = 23*v + 4. Calculate the least common multiple of v and l(-6).
8
Let a = 17614 + -16784. What is the least common multiple of a and 2241?
22410
Let g = 1826 - 14645/8. Calculate the common denominator of g and -5 + -7*(-411)/252.
24
Let f be 93/6 - 1/2. Suppose -22*p - f = -19*p. Calculate the common denominator of -105/68 and (-7)/p - 1 - 3633/770.
748
Let f = -624 + 939. Suppose f = 26*z - 19*z. Calculate the lowest common multiple of 75 and z.
225
Suppose 0 = -28*j - 39 + 291. Calculate the smallest common multiple of j and 1467.
1467
Let l = 148267/1938 - 1440/19. Find the common denominator of l and -45/14.
714
Suppose t = u - 8, 0 = -8*u + 3*u + t + 24. Suppose -5*o - g = u*g - 405, 5*o + 2*g = 402. What is the smallest common multiple of 55 and o?
880
Let x(b) = -2*b**2 + 15*b - 7. Let q be x(7). Suppose q*a - 12 = 4*a. What is the common denominator of a/(-6)*(-1 - 115/33) and 16/27?
297
Let c(o) = -o**2. Let i(q) = -4*q**2 - 3*q + 3. Let p(f) = 2*c(f) - i(f). Calculate the smallest common multiple of 4 - (-13 + -14 + 16) and p(3).
120
Let f = 2 - -17. Suppose 2*k + f = 67. Suppose k = -5*m + 8*m. What is the least common multiple of m and 4?
8
Let i = -386 - -382. Find the common denominator of 71/48 and (6/16)/((-27)/(-42)*i).
48
Let t = 3498 - 3494. Suppose 3 = -u - 0*l + l, 5*u + 3*l + 7 = 0. Calculate the common denominator of (2305/(-400) - u) + t and -19/18.
720
Let n be 871/45 + 8/(-12). Let w = 114/5 - n. Let d = -14512/5 - -2915. Find the common denominator of w and d.
45
Calculate the lowest common multiple of 138 and 4/200*-4 + (-9012)/(-150).
1380
Let f(c) = -4*c**2 + 96*c - 20. Calculate the lowest common multiple of f(22) and 780.
780
Let v = 3/10663 + 116117/4179896. What is the common denominator of v and -65/2?
392
Let q(r) = -r**3 - 5*r**2 + 12*r + 11. Let d be q(-7). Let g be -22 + d - (-28)/1. Suppose -6*i - g = -91. What is the least common multiple of i and 3?
30
Let w = 44705167873/14188 - 3150914. Find the common denominator of w and 55/14.
99316
Let z(o) = 22*o**2 - 7*o - 53. What is the least common multiple of 639 and z(-6)?
7029
Let u = 8 - 0. Suppose 5*t - 2597 = 12*t. Let d = -219 - t. What is the least common multiple of d and u?
152
Let t be ((-70)/(-25))/((-8)/(-20)). Let f(c) = -3*c + 29. Let b = 56 - 24. What is the smallest common multiple of f(t) and b?
32
Let t = -58 + 55. Find the common denominator of 43/(2/(-2) + 2) and t - (-101)/10 - -1.
10
Suppose -y = 1 - 5. Suppose 5*t - 3*g = y*t + 10, -3*g = -2*t + 17. What is the lowest common multiple of 49 and t?
49
Suppose -50*h + 2*m = -53*h + 3932, 5*m = 4*h - 5281. Calculate the smallest common multiple of 180 and h.
13140
Let l(f) be the third derivative of 1/15*f**5 + 0 + 0*f - 1/6*f**4 - 1/2*f**3 + 12*f**2. What is the smallest common multiple of 1 and l(-1)?
5
Let n(f) = -5 - 2*f - 74 + 9*f - 6. Let y be n(29). Let p = y + -111. Calculate the least common multiple of p and 3.
21
Let q be (268/28 + -1)/((-3)/(-546)). Suppose 2*c = 8*c + q. What is the common denominator of 313/c - (-9)/(-45) and 53/8?
104
Let q = -1168004521/1104 + 1057975. Find the common denominator of q and 45/184.
1104
Calculate the common denominator of ((-8)/(-6570))/((-10)/575) and -65/261.
19053
Let n = 685048367/24 + -28547709. Let j = n + 4026. Find the common denominator of -37/18 and j.
72
Suppose 0 = -4*d - 0*w + 3*w - 358377, d + 89594 = w. Let q = -12901547/144 - d. Calculate the common denominator of 71/12 and q.
144
Let i = 5676 + -5666. Calculate the least common multiple of 376 and i.
1880
Let z = -6938 - -7066. What is the lowest common multiple of 816 and z?
6528
What is the common denominator of (-98)/264 + 2/3 and (-1446)/(-3133) - (-2397)/468?
132
What is the common denominator of (-17116)/8910 + 4/((-4)/(-2)) and -86/315?
2835
Find the common denominator of 79/861 and (2177/(-28) - 4)*(-2)/(-126).
3444
Let j = -5 + 8. Calculate the lowest common multiple of j and 105 - 108 - (-209 - -5).
201
Let n = -1821 + 8084/5. Let w = n - -9104/45. What is the common denominator of 71/8 and w?
72
Calculate the smallest common multiple of 252 and (91 - 1)*(-5 + 217/35).
756
Let t = -2408075/28 + 86001. Let p = -126269/40 + 3156. What is the common denominator of p and t?
280
Let k = -11633/7050 + 107/75. Let l = -1712018/3 - -570679. What is the common denominator of l and k?
282
Suppose -3*a = -0*n - n - 13, -6 = -a + 2*n. Calculate the smallest common multiple of a and 181.
724
What is the common denominator of 6/(-312)*-39 + -1 + (-31)/(-120) and 45/13?
1560
Let c = -137 + 185. Suppose c = 6*u - 60. Let s(l) = l. What is the least common multiple of u and s(6)?
18
Let f = -1519/12 + 653/4. Let o = f + -106/3. Calculate the common denominator of -77/57 and o.
57
Let j = -1819 - -2374. What is the lowest common multiple of 750 and j?
27750
Suppose -5*i - 25 = -3*i - 5*l, 5*i = 5*l - 40. Let r be 20/(-2) - (i + 3). Find the common denominator of 78/r - 12/3 and 27/14.
28
Let c = -2/9251 + 5899/55506. Let w be (-6)/(-4)*8*-1. What is the common denominator of c and (-22)/w*27/(-2)?
132
Let g = -28 - -30. Let w(r) = -410*r**3 - 2*r**2 + 3*r - 5. Let c be w(g). Let d = 19861/6 + c. Find the common denominator of 46/9 and d.
18
Let v = -30 - -24. Let g be 2*v/(-172)*724/18. Let q = g + -6/43. What is the common denominator of q and -9/2?
6
Suppose 2*c + 358 = 2*m, 3*c - 4*m + 21 = -521. Let k = 29777/8 - 3727. What is the common denominator of c/9*3/28 and k?
56
Let r = -585 + 596. Let s(v) be the first derivative of -v**3/3 + 5*v**2/2 - 2*v + 5. What is the lowest common multiple of s(3) and r?
44
Suppose 12*p + 127 = -5*j + 10*p, -3*j - p = 77. Let i = -4 + 10. Calculate the lowest common multiple of ((-2)/(-2) - j) + 2 and i.
30
Suppose -40*u = -3711 - 8293 + 1084. Calculate the least common multiple of 52 and u.
1092
Let v = -5 - -7. Suppose 0 = v*t + 59 + 191. What is the common denominator of 5*(-60)/t*(-9)/(-2) and -29/16?
80
Let t(w) = -w**2 - 2. Let d be t(2). Let z be ((-3)/(-198))/(d/18729). Let y = 203/4 + z. Find the common denominator of y and -117/10.
110
Let o be ((-9)/16)/(3/(-26340)*-5). Let w = 39611/40 + o. Calculate the common denominator of 37/88 and w.
440
Suppose 4912 = 4*w - 0*w + 1120. Calculate the smallest common multiple of w and 9.
2844
Suppose -826*p + 2825 + 6261 = 0. Suppose 2*q = q + 94. Calculate the least common multiple of q and p.
1034
Calculate the common denominator of 1/330 and 428172/122760 - 8/2.
330
Suppose 5*k + 76 = -5*o + 351, -3*k = -21. What is the least common multiple of o and 156?
624
Calculate the lowest common multiple of -4*522/12*1660/(-60) and 290.
24070
Let n be -1*(2 - 5)*(-183)/(-9). Let f = n + -57. Find the common denominator of ((-8)/(-14))/f*
|
{
"pile_set_name": "DM Mathematics"
}
|
5))/(u*u*u**(-22))))**(-2/19) assuming u is positive.
u**(302/855)
Simplify (m**26*m*m)**(-6/25)*m**(2/11)*m**(-31)/m assuming m is positive.
m**(-10598/275)
Simplify ((l**(-3/2)*l/(l/l**(2/17)))/(l*l**2*l*l*l*l)**36)/(((l*l/l**(-2/11))/l*l)/(l**1*l)*(l/l**1)**(2/187)) assuming l is positive.
l**(-94833/374)
Simplify ((o**1)**(2/5)/(o**1)**5)/((o**(-2/7))**(-27/5))**(-30/7) assuming o is positive.
o**(493/245)
Simplify (((f/f**3)/f)**27/(f**20*f**(-15)))**(-7) assuming f is positive.
f**602
Simplify ((p**(-1/2)*p)**(3/4))**(-4/3)*((p/(p/p**1))/p**(2/7))**(1/6) assuming p is positive.
p**(-8/21)
Simplify ((v**(3/7)*v*v)**(-41)*v*v/(v/((v/(v**4*v))/v)*v)*v*v**(5/4))**27 assuming v is positive.
v**(-77355/28)
Simplify ((((d/((d/(d*d**(-1/2)))/d))**(-9))**(-1/4))**39)**(-45) assuming d is positive.
d**(-47385/8)
Simplify (r**(1/9)*r*r**6)**(-46/3)*((r**(-1)/r*r)/r)**(-2/11)/(r**7/(((r/(r/r**6*r))/r)/r)) assuming r is positive.
r**(-33464/297)
Simplify (u**(-20)/(u*u/u**(-20))*u/(u*((u/u**(-4))/u*u)/u)*u**(2/9))**(-1/18) assuming u is positive.
u**(206/81)
Simplify (v**(-16/5)/v)**38/(v**(-23))**(-1) assuming v is positive.
v**(-913/5)
Simplify (j**(-4)*j*j/(j/(j**(-2/9)*j)))**6/((j**(-2/11)*j**6)/((j*j**(-1/6))/((j**4*j)/j*j))) assuming j is positive.
j**(-513/22)
Simplify ((l/(l/((l/l**1*l)/l)))**(-3/17))**(-29)*(l/(l**2/l)*l**5*l)/(l**(2/3)*l*l/(l**(-3)/l*l)) assuming l is positive.
l**(1/3)
Simplify ((a*a**(-3/5)*a)/a)/(a*a**3*a)*a**(4/3)/a**(-2)*((a**(1/4)*a)**(2/51))**(-1/12) assuming a is positive.
a**(-7777/6120)
Simplify (c/(c*c**(-24))*c)**(-45)*(((c*c**(5/8)*c)/c*c*c*c)/c*c)/c*c**21/c assuming c is positive.
c**(-8811/8)
Simplify (t**6/(t/t**(-2/13))*(t*t**1*t)**(5/4))/((t**(1/2))**37)**24 assuming t is positive.
t**(-22641/52)
Simplify ((o**(-1/4)/o*o)/(o*o/o**7*o*o)*o**(1/5)/o**(1/3))/(((o**7*o)/o**(-1/3))/(((o/(o/o**5)*o)/o*o)/o**(-2/3))) assuming o is positive.
o**(19/20)
Simplify ((q*(q**(-5/12)*q)/q)/(q*q*q/q**(2/13)))/(q**7)**(-2/13) assuming q is positive.
q**(-185/156)
Simplify ((q**(-5/7)*q)**(-17)*((q/(q/((q/q**11)/q))*q)/q)/q**(-21))**(1/8) assuming q is positive.
q**(9/14)
Simplify (j/(j*(j**(5/14)*j)/j*j)*j**(-6)*(j*j*j**1)**(-29/2))**21 assuming j is positive.
j**(-1068)
Simplify (((c**(2/3)*c)/(c**(-3/2)/c))/((c*c*c/(c/((c**(1/2)/c)/c)))/c)**(9/7))/((c**(-5)/c**(4/9))/((c*c**(-3/2)*c*c)/c*c/c**(-4))) assuming c is positive.
c**(1985/126)
Simplify (((n/(n/n**(1/2)))/(n*n**13))/(n**(-30)/(n*(n*n*n/n**30*n)/n)))**(-3/32) assuming n is positive.
n**(57/64)
Simplify r**(1/7)/(r*r*r**(-1)*r*r*r*r)*(r**(-1/2))**(2/5)*((r**1)**30)**(-29) assuming r is positive.
r**(-30627/35)
Simplify h**(-1/16)/(h**2/h)*(h**(1/2))**(12/11)*((h/(h/(h**(-5)/h)*h))**11)**(3/17) assuming h is positive.
h**(-42203/2992)
Simplify (((o/o**(-3))/o)**(-15/2)*o**(-2/17)/o**(-16))**(8/15) assuming o is positive.
o**(-60/17)
Simplify ((z*z**0)**(-18/7))**1*z**(-1/6)*z**3*z**5/(z*(z*z**(-1/6))/z*z) assuming z is positive.
z**(24/7)
Simplify (d**(2/7))**(-27)/(d*d/d**1)**7*(d**(2/7))**(1/17)*(d*d**(-1)/d)**(-2/67) assuming d is positive.
d**(-116945/7973)
Simplify (o**(1/5)*o*o*((o*(o/o**(3/7))/o)/o)/o)/((o*o**(-7)/o)/o**7)*(o**(-1)/o)/(o*o**2)*o*o**(4/5)*o**1/o assuming o is positive.
o**(81/7)
Simplify ((n**(-32)*n**6*n)/((n*n/n**(-23))/(n/(n/(n*n**(4/9)/n)))))**46 assuming n is positive.
n**(-20516/9)
Simplify (i*i/(i/(i/(i/(i**(4/9)/i)*i)))*i*i)**(2/137)*i*i**(-39)*((i/i**(-3/20))/i)/i assuming i is positive.
i**(-957521/24660)
Simplify (n/(n**(1/28)*n)*n**(-12))**43*(n/(n**(-1)/n))**40*n/(n/n**(-1/17))*n**7 assuming n is positive.
n**(-185923/476)
Simplify (m**(-3)*m/(m/(m/((m*m**(-14))/m)*m))*m*(m/(m*m**(-5)))/m*(m*m/(m**(6/11)*m)*m)/m*m)**(-1) assuming m is positive.
m**(-214/11)
Simplify ((n**2*n)/(n*(n/((n*n*n/((n*n**(-6))/n))/n))/n)*(n**(-14)/n)**(5/18))**(-1/14) assuming n is positive.
n**(-5/12)
Simplify (((k/((k**(-1/4)/k)/k))/k)/(k/(k/(k**(-3/7)/k)*k)))/((k*k**(-4/5)*k*k)/k**3)*(k**0*k)/k*k/k**5*((k*k*k**(2/7)/k)/k)**(-1/3) assuming k is positive.
k**(83/60)
Simplify (k/(k/k**(-15))*k/(k*k**(-6/19)))/((k**(-9/2)*k*k)/(k/k**(-24))) assuming k is positive.
k**(487/38)
Simplify (b**(-1/3)*b/b**(1/6))**42/((b*b**6*b*b*(((b**(-1)/b)/b*b)/b)/b*b)/(b**(3/4)/(b/(b*(b/b**(3/5))/b)))) assuming b is positive.
b**(303/20)
Simplify ((z/(z*z**(2/7)/z)*z)**32/(z/z**(-1))**(-2/7))/(((z**0/z)/(z*z**(-3/4)*z*z))/((z/z**(-5))/(z*z**4/z))) assuming z is positive.
z**(1699/28)
Simplify ((l*((l**1*l)/l)/l)**(1/54))**(-3)*(l**0)**(5/3)*((l*l**(-2/7)*l)/l*l)**7 assuming l is positive.
l**(215/18)
Simplify (((c**1)**33/(c**(-1/3)/(c/(c/(c**(-8)/c)))))**(-4/25))**(-2/7) assuming c is positive.
c**(584/525)
Simplify ((l/l**(-2))/l**(-27)*(l**(1/2)*l*l)**(-12/5))**(-16) assuming l is positive.
l**(-384)
Simplify (((o*o**8/o)/(o**(-2/5)/o))/(o**0)**(-3/4))/((o**(2/5))**(-35)/(o**(-2/3)*o*o*o*o)**(-2/11)) assuming o is positive.
o**(3761/165)
Simplify ((b**1)**27*(b**(-1/8)*b)/(b*b/((b**2/b)/b)))/((b**(-1))**16/(((b/(b*b*b**(4/7)*b*b))/b)/(b*b*b**(-1)*b))) assuming b is positive.
b**(1977/56)
Simplify (((k/(k*k**(-2/5))*k)/k*k*k/k**(-2/3)*((k/k**(-2/5))/k)**(-2/11))**(-9/8))**16 assuming k is positive.
k**(-2964/55)
Simplify a**45*a**5*(a*a**(-1/5)*a)/(a*a*(a/a**(-2/63))/a) assuming a is positive.
a**(15677/315)
Simplify ((b/(b/((b/b**1*b)/b)))**44*(b*(b*((b*b**(-15)*b)/b)/b*b)/b)/(b/(b*b**(-2/3))*b))**(-47) assuming b is positive.
b**(2068/3)
Simplify (w*w**1)**(2/21)*(w*w**(2/3)/w*w)**(1/51)*(w*w*w*w**(-6))/w*w*w**0/w*w**4/(w*w**9*w) assuming w is positive.
w**(-11542/1071)
Simplify ((p*p*p**24/p)/p*p**37*p*p**(-41)*p*p/(p/p**12))**(-3/4) assuming p is positive.
p**(-51/2)
Simplify (k/k**(-2/17))/(k/k**(-5))*k**(2/5)*k/(k/(k/(k/k**(-1/2)))*k)*(k**5*k*k**(4/5)*k)**(-37) assuming k is positive.
k**(-50079/170)
Simplify (c**0)**(4/7)*c/(c**8*c)*c/(c*c/c**(-9)*c*c)*c**(-5)/c*(c*(c/c**(-4))/c)/c*(c/(c*c**(2/11)*c*c*c)*c)/(c/(c/c**(3/4))*c*c) assuming c is positive.
c**(-1185/44)
Simplify (((a*a**4)/a**(2/13))/(a**(-1/3)/a)**(-4/5))/((a**(-2/5)/(a/a**(-1/2)*a*a))/((a/a**6)/a**(4/3))) assuming a is positive.
a**(35/26)
Simplify (((t*t/t**0*t**7)/(t**(-6/7)*(t*t**5)/t))**(-3/2))**(12/7) assuming t is positive.
t**(-612/49)
Simplify (s**2/(s**1/s))/(s/(s/(s*s**(1/2)/s*s*s)))**(-33/4)*(s**(-2/3)*s*s*s/s**(2/7)*s)/((s*s**(-2/5))/s*s)**(-3/35) assuming s is positive.
s**(108041/4200)
Simplify c**(2/13)/(c*c*(c/c**27)/c*c*c*c)*(c**(9/10))**(-45) assuming c is positive.
c**(-477/26)
Simplify (((t**(-2/3)/t)/t)**4*t**(-4)*t**(-1/2))/((t/(t**(3/8)/t)*t)/t**4*t**(-2/13)/t**(1/3)) assuming t is positive.
t**(-4151/312)
Simplify (f/(f*f**(-6/5))*f/f**(-2/9)*(f**1)**(-3/40))/(f**(3/7)*f*f/(f/(f**(2/13)/f))*(f**(2/7))**(-28)) assuming f is positive.
f**(63979/6552)
Simplify (f**2)**(-28)*f**(-1/2)/f*f*f**(-1)*f*f*f*(f**14/f**(-13))**(8/15) assuming f is positive.
f**(-401/10)
Simplify (a**(-5/3)/a**14*(a/(a**(1/8)*a))**(-37))**(-15) assuming a is positive.
a**(1325/8)
Simplify y**7/(y*y/y**(1/4)*y)*(y/(y**(-2/11)*y))/y**(1/4)*y/y**4*y/((y/((y*y**(-3)/y*y)/y)*y)/y)*(y**(1/2)/y)/((y/(y*y**(-3)))/y) assuming y is positive.
y**(-95/22)
Simplify ((m**(5/6))**(-2/49)/(m*m**(-1/3)*m*m*m*m/m**(1/5)))**(-39) assuming m is positive.
m**(43004/245)
Simplify ((c**(-2/3))**(2/11)*(c**0)**(-2/29))/(c*c*c*c*c*c**(7/2)*c*c*c*c**(-6))**(-9) assuming c is positive.
c**(3259/66)
Simplify (((y*y*y**(1/4)*y*y*y)/(y**6/y)*(y*y/(y/(y*(y*y*y/(y/y**(3/7)*y))/y)))/(y/(y*(y/y**2*y)/y*y)))**(-5))**(-13/3) assuming y is positive.
y**(1625/28)
Simplify ((m**(-9)*m**(-26)/m)/((m*m**(-4/13)*m)/m**15))**43 assuming m is positive.
m**(-12685/13)
Simplify ((i**(-6)/i)/(i/i**3))**(-39)/((i**(-1))**(9/7)*(i**(1/4)/i)**(-1/3)) assuming i is positive.
i**(5489/28)
Simplify (j/(j/((j**(-1)*j)/j)))**(-5)/(j*j**0*j*j*j)**(1/12)*(j**(-1))**29*(j**1)**(11/2) assuming j is positive.
j**(-113/6)
Simplify ((d**(-43)*d*d)/d)**(-8/9)*d**(-41)/(d*(d**(-1/47)*d)/d) assuming d is positive.
d**(-655/141)
Simplify (u/(u**6*u))/(u/u**(-1/5))*(u/u**0)**(-19)*(u/u**1)**(-34)/(u**(-5/2)*u/u**(-6)) assuming u is positive.
u**(-307/10)
Simplify (((d**(-1))**(2/21)*d/(d*(d/(d*d/(d/(d/(d*d*d*d/(d/(d*d**0))*d*d)))))/d*d)*(d**(1/2)/d)/d)**37)**(-38) a
|
{
"pile_set_name": "DM Mathematics"
}
|
decimal places.
1.1
Round -0.00077565 to 5 dps.
-0.00078
What is 0.000006082 rounded to six dps?
0.000006
Round 8076 to the nearest 1000.
8000
Round 0.014461 to 4 decimal places.
0.0145
Round -116100 to the nearest 1000.
-116000
What is 840400 rounded to the nearest 100000?
800000
What is 289760000 rounded to the nearest one million?
290000000
Round -5846 to the nearest 100.
-5800
What is 95.6 rounded to 0 dps?
96
Round -0.03277 to 2 dps.
-0.03
Round 0.0000061 to 6 decimal places.
0.000006
Round 11.74 to the nearest integer.
12
Round 0.2524 to 2 decimal places.
0.25
What is 0.6131 rounded to two dps?
0.61
What is -330120 rounded to the nearest 1000?
-330000
What is -1230.2 rounded to the nearest ten?
-1230
What is -167830 rounded to the nearest one thousand?
-168000
Round 1505630 to the nearest 10000.
1510000
What is -0.00006485 rounded to five dps?
-0.00006
Round -1162000 to the nearest 10000.
-1160000
Round -0.078665 to three dps.
-0.079
Round 116400 to the nearest 100000.
100000
Round -1.129 to 1 decimal place.
-1.1
What is 134.38 rounded to the nearest ten?
130
Round 15.5312 to 2 decimal places.
15.53
What is -4.963 rounded to one decimal place?
-5
What is 0.04061 rounded to 2 dps?
0.04
Round 0.000006321 to seven dps.
0.0000063
What is 2.64 rounded to the nearest integer?
3
Round 0.07411 to two decimal places.
0.07
What is -5.4352 rounded to 1 dp?
-5.4
What is -0.0000040306 rounded to six decimal places?
-0.000004
Round 9766 to the nearest one hundred.
9800
Round -0.000003879 to six dps.
-0.000004
Round 15650 to the nearest ten thousand.
20000
What is 0.0014332 rounded to 4 dps?
0.0014
Round 4182.4 to the nearest one hundred.
4200
What is -0.69314 rounded to one dp?
-0.7
Round 588470 to the nearest one hundred thousand.
600000
What is 148.1 rounded to the nearest 10?
150
What is -0.006032 rounded to 4 dps?
-0.006
What is 35.82 rounded to 0 decimal places?
36
Round 0.0046448 to 4 dps.
0.0046
Round -0.000007112 to six decimal places.
-0.000007
Round -0.38126 to three decimal places.
-0.381
Round -0.000004261 to 6 dps.
-0.000004
What is 37400 rounded to the nearest 1000?
37000
Round -0.00002499 to 6 decimal places.
-0.000025
What is -4085980 rounded to the nearest 100000?
-4100000
Round -15040 to the nearest ten thousand.
-20000
Round -142585 to the nearest one thousand.
-143000
Round -4.7801 to 2 decimal places.
-4.78
What is -0.0000020737 rounded to seven dps?
-0.0000021
Round -21320 to the nearest one thousand.
-21000
Round -65200 to the nearest one thousand.
-65000
Round -136.79 to the nearest 10.
-140
Round -0.000017334 to 7 dps.
-0.0000173
Round -40.919 to zero dps.
-41
What is -213690000 rounded to the nearest 1000000?
-214000000
Round 0.00000115657 to seven dps.
0.0000012
What is 0.0000006206 rounded to 7 dps?
0.0000006
What is 759 rounded to the nearest 10?
760
What is 2874 rounded to the nearest 1000?
3000
What is -0.000046018 rounded to five decimal places?
-0.00005
What is 25341000 rounded to the nearest one hundred thousand?
25300000
Round 245000 to the nearest one thousand.
245000
Round 0.00003252 to 5 decimal places.
0.00003
What is -0.00742 rounded to 3 dps?
-0.007
What is 96520 rounded to the nearest 10000?
100000
Round -18760000 to the nearest 100000.
-18800000
Round -0.003161 to five dps.
-0.00316
What is -3.4 rounded to the nearest 10?
0
What is -15.71 rounded to the nearest integer?
-16
What is -0.001273 rounded to 4 dps?
-0.0013
What is 40300 rounded to the nearest 1000?
40000
What is -0.0000000986 rounded to seven decimal places?
-0.0000001
What is 0.08788 rounded to three dps?
0.088
What is -0.0003901 rounded to 4 decimal places?
-0.0004
Round 12.72 to the nearest integer.
13
What is -1849 rounded to the nearest 100?
-1800
Round 2905 to the nearest 100.
2900
Round 33890 to the nearest 1000.
34000
What is -97731 rounded to the nearest ten thousand?
-100000
What is -0.0000067779 rounded to six dps?
-0.000007
What is 12.1721 rounded to the nearest integer?
12
Round 6700 to the nearest 100.
6700
What is 60410 rounded to the nearest one thousand?
60000
Round -0.000005999 to six dps.
-0.000006
Round -6947 to the nearest one thousand.
-7000
What is -0.00001772 rounded to seven decimal places?
-0.0000177
Round -0.000276 to 5 dps.
-0.00028
Round -583.7 to the nearest 100.
-600
Round -79000000 to the nearest 1000000.
-79000000
Round -3.596 to zero decimal places.
-4
What is -14054 rounded to the nearest one thousand?
-14000
What is -0.000005195 rounded to 7 decimal places?
-0.0000052
What is -336010 rounded to the nearest ten thousand?
-340000
Round -7399400 to the nearest 10000.
-7400000
Round 0.016317 to 3 decimal places.
0.016
What is -50386 rounded to the nearest 1000?
-50000
Round 0.0000005086 to seven dps.
0.0000005
Round -478.5 to the nearest 10.
-480
What is -0.047747 rounded to 2 decimal places?
-0.05
Round -0.00011399 to 5 decimal places.
-0.00011
Round -0.00006429 to five dps.
-0.00006
Round -0.00301 to four decimal places.
-0.003
Round -0.28436 to three decimal places.
-0.284
Round 7.962 to 1 decimal place.
8
What is -0.0000007641 rounded to 7 decimal places?
-0.0000008
Round 5.955 to the nearest ten.
10
Round -727.3 to the nearest 10.
-730
What is -0.015645 rounded to 4 dps?
-0.0156
Round 0.000128 to 5 dps.
0.00013
What is 67570 rounded to the nearest ten thousand?
70000
What is -0.00014544 rounded to 4 decimal places?
-0.0001
What is -0.0000002591 rounded to 6 decimal places?
0
Round -0.0027292 to four dps.
-0.0027
Round -132400 to the nearest ten thousand.
-130000
What is 746070000 rounded to the nearest one million?
746000000
Round 0.5526 to two decimal places.
0.55
Round -0.00001094 to six decimal places.
-0.000011
Round -0.0063263 to three dps.
-0.006
What is 0.03257 rounded to three dps?
0.033
What is -3.929 rounded to 0 decimal places?
-4
What is 1264000 rounded to the nearest one hundred thousand?
1300000
What is 0.00659 rounded to three dps?
0.007
What is 37.1296 rounded to one decimal place?
37.1
What is -0.73747 rounded to three decimal places?
-0.737
What is -2836 rounded to the nearest one thousand?
-3000
Round -61677 to the nearest 10000.
-60000
Round -0.0000000549 to 7 dps.
-0.0000001
Round -590.51 to the nearest 100.
-600
Round -34.9 to the nearest integer.
-35
What is -0.04952 rounded to three dps?
-0.05
What is -0.000002353 rounded to seven dps?
-0.0000024
Round -0.000002756 to 7 dps.
-0.0000028
Round -0.08213 to three dps.
-0.082
Round 0.14232 to two decimal places.
0.14
What is -192550000 rounded to the nearest one million?
-193000000
Round -30.03 to one dp.
-30
Round 38.86 to the nearest integer.
39
What is -118500 rounded to the nearest ten thousand?
-120000
Round -7951800 to the nearest 1000000.
-8000000
Round 851 to the nearest 100.
900
What is 2774350 rounded to the nearest one hundred thousand?
2800000
Round -884040 to the nearest ten thousand.
-880000
What is 987.1 rounded to the nearest 100?
1000
What is -0.0000052555 rounded to six decimal places?
-0.000005
Round -0.0000003648 to seven decimal places.
-0.0000004
Round 173515000 to the nearest 1000000.
174000000
What is 0.508 rounded to two decimal places?
0.51
Round -67.4 to the nearest 10.
-70
What is 0.000002405 rounded to six dps?
0.000002
Round 1235.16 to the nearest one hundred.
1200
Round -108630 to the nearest 100000.
-100000
Round 0.000080808 to five dps.
0.00008
Round -1250000 to the nearest 1000000.
-1000000
What is 87170 rounded to the nearest 10000?
90000
What is 0.000045296 rounded to five decimal places?
0.00005
Round 12.0164 to two decimal places.
12.02
What is 0.00000909 rounded to seven decimal places?
0.0000091
What is 250.26 rounded to the nearest integer?
250
Round -15812000 to the nearest 1000000.
-16000000
What is 584 rounded to the nearest one hundred?
600
Round -12928800 to the nearest 1000000.
-13000000
Round -29524 to the nearest ten thousand.
-30000
What is -9470 rounded to the nearest 10000?
-10000
Round -0.0000067 to 6 decimal places.
-0.000007
What is -11250000 rounded to the nearest one million?
-11000000
What is 15247.3 rounded to the nearest 1000?
15000
Round 276.7 to the nearest 10.
280
Round 92230000 to the nearest 1000000.
92000000
Round 1547.4 to the nearest one hundred.
1500
What is 0.006707 ro
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 40 = 51*z, -2*d - 4 = -3*z for z.
4
Solve y + o = -23, 0 = 3*o + 8790 - 8730 for y.
-3
Solve -10*y + 15*g = 14*g + 32, 0 = -3*y - 3*g - 3 for y.
-3
Solve 4*j + 6*f + 34 = 0, -2*j - 4*f - 12 = -6*f for j.
-7
Solve -5*j + 45 = 4*w, 57*j - 36 = 61*j - 4*w for j.
1
Solve -2*c - 1 = k, 33681*c + 12 = -2*k + 33682*c for k.
-5
Solve m - 108 + 111 = -4*c, c + 2*m = 8 for c.
-2
Solve 5*c + 20 = -5*k, 0 = 30*c - 32*c + 3*k + 37 - 45 for c.
-4
Solve 926*b - 12 = 928*b + u, 3*b + 2*u = -17 for b.
-7
Solve 2*m = 5*a + 6, -4*a + 746*m = 747*m - 3 for a.
0
Solve -3*x + 9*h = 78, -38*h = -4*x - 40*h + 36 for x.
4
Solve 0 = 3*c + 2*d + 21, 0 = -17*c + 19*c - 2*d + 4 for c.
-5
Solve -3*d - 17*z = 19*z + 16*z - 49*z - 3, 0 = -4*z for d.
1
Solve q + 4 = 3*g, -q - 7151*g - 2 = -7153*g for q.
2
Solve -q = 2*t + 5, 2*q - 194*t + 190*t - 30 = 0 for q.
5
Solve -40*q + 35*q = -3*r + 29, 4*q + 7 = -3*r for r.
3
Solve 0 = 4*y + 5*k - 31, -169 + 159 = -4*y + 2*k for y.
4
Solve 3*d - 3084 + 3130 = -i, -4*i = 2*d + 44 for d.
-14
Solve -586*g - 17 = -5*s - 590*g, -2*s = 5*g for s.
5
Solve -d + 5*u + 607 - 588 = 0, 4*u = -3*d for d.
4
Solve 3*a = -5*x + 58, 0 = -4*a + 705*x - 707*x + 68 for a.
16
Solve -68*a - 6 = -134*a + 64*a, -2*a + 8 = t for t.
2
Solve -4*b = 5*n + 36, -2*n + 97 = 10*b + 145 for b.
-4
Solve 5*t = 2*i + 5, -5 = 73*t - 78*t - 2*i for t.
1
Solve 2*u - 4 = -4*p, 3*u + 5117 = 5*p + 5167 for p.
-4
Solve -5*g - 62*n = -61*n + 24, 5*n = -g - 24 for g.
-4
Solve t - 41 = -2*d - 88, 6*d + 146 = -4*t for d.
-21
Solve -48 = -5*k - 3*z - 26, -30 = -5*k - 5*z for k.
2
Solve -3*b - 161*j - 75 = -164*j, -j + 41 = 3*b for b.
4
Solve -25*b = -g + 8*b + 293, 2*g - 3*b = -57 + 76 for g.
-4
Solve -57*v + 54*v = 5*m + 4, -7 = 2*m + 3*v for m.
1
Solve -429*j + 3*b = -424*j - 17, -3*j - 1 = b for j.
1
Solve 5*m = 4*o + 770 - 753, -2*m = o + 1 for m.
1
Solve 4*s + 77 = 49, -s = 5*w - 18 for w.
5
Solve 11*a + 4*n = -89 + 120, -5 - 2 = -5*a - 3*n for a.
5
Solve 5*j - 13 = -0*j + 4*c, 2 = -2*j + 4*c for j.
5
Solve 9*s - 1343 = -2*w - 1334, -3*w + 3*s - 36 = 0 for w.
-9
Solve 0 = 8*m - 5*j + 18, 2183*m + 2*j = 2181*m + 2 for m.
-1
Solve 0 = -4*s - 5*q + 15, -4*q - 29 = -1757*s + 1752*s for s.
5
Solve 1222*b - 1218*b = -2*t + 2, 3*b = -4*t + 9 for t.
3
Solve 18 = 2*l - n + 10, 3*n = 12*l - 42 for l.
3
Solve 3*p - 13 = -0*h - 2*h, 4*h - 16 = 4*p for p.
1
Solve -n - c = -1, -184*n = -180*n + 5*c - 6 for n.
-1
Solve 0 = u - 4*j + 17, -522*j - 7 = u - 524*j for u.
3
Solve 3*d - 15 = -2*f, 1032 = -5*d + 1057 for f.
0
Solve 0 = 2*u + 3*w - 22, -5*u = 1175*w - 1172*w - 37 for u.
5
Solve 42*k - 44*k = 5*s - 13, 27 = 7*s + 5*k for s.
1
Solve 2*o + 14 = 8*j - 4*j, 0 = -3*j - 2*o + 28 for j.
6
Solve 0 = 3*j - 10*l - 37, -64 + 56 = 2*l for j.
-1
Solve -2*y - a + 31 = 0, -1617*y = -1619*y - 2*a + 32 for y.
15
Solve -5 = -6*i - 4*r - 1, 3*i + 4*r = -8 for i.
4
Solve 4*u + 4 = -7*t, 30 - 27 = 3*t - 3*u for t.
0
Solve 4*z - 40 = -8*l + 68, 10 = l + 4*z for l.
14
Solve 51 = -10*o + 3*v + 156, v = -4*o + 31 for o.
9
Solve 6 = -3*c + w, 4*c + 12*w = 16*w - 16 for c.
-1
Solve k = 8*l + 13, -k + 4*k - 11 = 9*l - 2 for k.
-3
Solve -133*v = -137*v - 20, -2*r = -2*v - 20 for r.
5
Solve -4*k - 1236 = 5*u - 1196, -k - u = 9 for k.
-5
Solve y - 123*z - 7 = -121*z, 5*y + 5*z + 25 = 0 for y.
-1
Solve -16 = d + 2*t, 2*d - 2*t = 400 - 396 for d.
-4
Solve -s + k = -28 + 32, -3*k - 20 = 13*s for s.
-2
Solve 0 = k - 2*u + 9, 4*k - 1343*u = -1344*u - 9 for k.
-3
Solve 2*d - 4*n + 8 = 0, -315*n - 32 = -3*d - 320*n for d.
4
Solve 0 = -d - 5*a - 20, 5*d + 9840*a - 9835*a = -40 for d.
-5
Solve -51*u + 52*u = -2*c - 12, -u - 20 = 4*c for c.
-4
Solve 168*l - 165*l - 27 = -4*r, 5*l + 5*r - 40 = 0 for l.
5
Solve 65*p - 19 = 3*c + 63*p, -c + 3*p - 11 = 0 for c.
-5
Solve -91 = -3*t - 2*s - 93, 124*s = -5*t - 486 for t.
2
Solve -2*q + 40 = w, -14*q = -11*q - 5*w - 47 for q.
19
Solve -46478*p + 46475*p + 40 = -7*r, -r = -5*p + 24 for p.
4
Solve q + 48 = q - 12*q, 5*n = -3*q - 12 for n.
0
Solve -60 = -5*l + 5*t, 4*l + 2*t - 3489 = -3483 for l.
5
Solve -2*t = -4*n + 30, 6*t + 2*n + 2148 = 2114 for t.
-7
Solve 4*o - 44 = -4*f, -63*o = -60*o + 2*f - 35 for o.
13
Solve 5*o - 20 = 4*t, -t = 729*o - 730*o + 4 for o.
4
Solve 52*k = -4*u + 53*k + 7, 3*u - 9 = -3*k for u.
2
Solve -581*t + 582*t - 13*j = -119, -3*t - j = -3 for t.
-2
Solve 2*i + 4*x = -20, 273*i - 274*i - 4*x - 16 = 0 for i.
-4
Solve -3*c = -12, 0 = -5*s + 5*c + 6600 - 6630 for s.
-2
Solve -5*f + 20 = -c, -5*c + c - f - 375 = -400 for c.
5
Solve -4*x - 5*t = 62, -6537*x + t - 38 = -6535*x for x.
-18
Solve 3*w = j + 16, 29527 - 29539 = -4*w - j for w.
4
Solve -6*x + 4*r = 12, -3*x - 25056*r + 25053*r - 6 = 0 for x.
-2
Solve -5*j = 5*x + 30, -13*j - 20 = -7 for x.
-5
Solve 55*s - 60*s - 45 = -4*n, -30 = -2*n + 4*s for n.
5
Solve 8*g = c - 2425 + 2428, -4*g - 2*c = -14 for g.
1
Solve -o = -7*t - 33, -t - 16*o + 20*o = 24 for t.
-4
Solve 713 - 712 = -2*y - c, 5*y + c = 5 for y.
2
Solve 0 = 3*w + 30*a + 3, -69*a - 5 = 5*w - 67*a for w.
-1
Solve 0 = -2*q - 3*x + 19, -161*q - 33 = -165*q - 5*x for q.
2
Solve 0 = -i - 5*l + 9, 475 - 464 = -i + 5*l for i.
-1
Solve 3*i - 5*q = 14, -3*q = 5*i + 55 - 67 for i.
3
Solve 3*r - 57 = -4*u - 62 - 29, -2*u - 5*r = 24 for u.
-7
Solve -6*v + 15 = 3*q, q + 22 - 7 = 2*v for v.
5
Solve 2*p - 177 + 149 = 4*a, -2*a + 4*p = 2 for a.
-9
Solve -5 = b - l, 0 = -3*b - 214*l + 212*l - 40 for b.
-10
Solve 0 = 5*r - 2*i + 455 - 411, -4*r = 3*i - 43 for r.
-2
Solve -16 = 5*u + 46*k - 44*k, -2 = 3*u + 5*k for u.
-4
Solve 126*d - 21 = 129*d + 3*l, -3*d - l = 25 for d.
-9
Solve 2*z - 4 = 0, 0 = 2*h - 4*z - 533 + 551 for h.
-5
Solve 0 = 400*k - 405*k + 3*r + 24, 16*k - 5*k = -r - 8 for k.
0
Solve 0 = -60*w + 65*w + j - 15, 0 = 3*w - 2*j - 22 for w.
4
Solve 4 = c + 2*s, c - 3*s + 38 = 32 for c.
0
Solve t + 39 = 7*v, -1126*t + 4*v = -1131*t for t.
-4
Solve -2*t - 10 = -c, 7 - 65 = 26*t - 4*c for t.
-1
Solve 726*v - 725*v - 6 = 4*o, 5*v + o - 51 = 0 for v.
10
Solve 2*l = 3*i + 3, 18*l = 20*l + i + 9 for l.
-3
Solve 2*h - 173 = -3*s - 185, 4*s + 19 = -3*h for h.
-9
Solve -149*y + 25 = 5*s - 145*y, -5*y = -31*s + 6 for s.
1
Solve -5*r = 2*n - 11, -3*r = 2*n + 62 - 67 for n.
-2
Solve -h - 10*n = 225, n + 167 - 125 = -4*h for h.
-5
Solve 86*h - 83*h = -3*w + 18, 2*w = 3*h - 8 for w.
2
Solve 4*l + 7 = -3*g + 15, 0 = -4*g + 5*l - 41 for g.
-4
Solve 326*o - 322*o + 5*p = 23, 0 = 4*o - 3*p + 33 for o.
-3
Solve -5*u - 4*g = -48, -65*u + 12 = -63*u - 2*g for u.
8
Solve -613*j - 32 = -4*q - 609*j, -12 = -3*q - j for q.
5
Solve 0 = -2*s - 8*j + 3*j - 29, -5*s - 4*j = 30 for s.
-2
Solve 2*y + 8 = 0, -h - 5 + 1 = 4*y + 13 for h.
-1
Solve 2*u - 813*x + 811*x + 20 = 0, 4*u + 5 = -3*x for u.
-5
Solve 5*b + 2*b - 19 = 3*t, 3*b - 3 = 3*t for t.
3
Solve 24*r = -3*v - 15, 25 = -2*r + 4*r - 5*v for r.
0
Solve -t = -11, -3*j + 9*t = 5*t + 59 - 15 for j.
0
Solve i + 2*z + 10 = 0, 3*i = -34*z + 36*z + 18 for i.
2
Solve 26*o - 22*o + 5*d = -13, -o + 2*d + 13 = 0 for o.
3
Solve -2*n - 3 = o, n + 20*o - 16 = 23*o for n.
1
Solve -3*j - 5*o + 227832 - 227775 = 0, 5*o + 13 = 2*j for j.
14
Solve -s - 241 = 10*n - 265, 5*n = 5*s - 10 for s.
4
Solve 119 = y - 3*j + 136, -2*j = 3*j - 5 for y.
-14
Solve 0 = -5*r - 5*b - 20, 13254*r + 2*b - 12 = 13257*r for r.
-4
Solve -15 = -4*u + 5*m, 7644*u - 7636*u + 3*m + 9 = 0 for u.
0
Solve -3*g - 3*x + 15 = 9, -x = -1 for g.
1
Solve 0 = 10*s - 5*j + 130, -10*j + 13*j = -s + 1 for s.
-11
Solve -1898*f = -1899*f + 5*d - 2, 2*d = -5*f - 37 for f.
-7
Solve -3*j + 4*j - 5 = 0, 2*f + 9*j - 10*j = -21 for f.
-8
Solve 0 = 4*g + 4*j + 40 - 28, 0 = 4*g + 2*j + 10 for g.
-2
Solve -189*t + 2 = 2*y - 190*t, 2*y + 2*t = 14 for y.
3
Solve 0*c = 5*n - 2*c + 12, 4*c - 38481 + 38477 = 0 for n.
-2
Solve -4*k = 5*w - 16, -84*k = -83*k - w + 5 for k.
-1
Solve -1059*y + 1063*y - 4*u = -36, -5*u = 4*y + 81 for y.
-14
Solve -h = -3*n - 13, h - 108*n = -117*n - 47 for h.
-2
Solve 2*i - j - 11 = 0, j + 202 = 3*i + 185 for i.
6
Solve 0 = -4*n - 4*y + 16, 15 = 4*n - 5*y + 26 for n.
1
Solve 0 = -5*k - 20, -k + 4*k = -2*t + 2*k for t.
2
Solve 109 = 3*m - 8*c, 2765*m + 36 = 2767*m + 2*c for m.
23
Solve -21*c + 48 = 5*v, -4*v - 190*c = -185*c - 3 for v.
-3
Solve 2*y - 3 = -d, -2*d = -5
|
{
"pile_set_name": "DM Mathematics"
}
|
st value in -2, k, b?
k
Let y(g) = g**3 + 8*g**2 + 3*g - 5. Let j be y(-5). Suppose -5*h = 4*x + j, 5*x + h = -31 - 22. Let s be 16/30 + x/30. What is the smallest value in s, -3/7, 5?
-3/7
Let w = 3 + -2.4. Let p = 0.5 - w. Let o(l) = l**3 + 9*l**2 - 11*l - 12. Let i be o(-10). Which is the second biggest value? (a) p (b) -0.4 (c) i
b
Let m be (3 - (-15)/20) + -4. Let r = -7 - -2. Let h = -0.72 - -0.92. Which is the third biggest value? (a) m (b) h (c) r
c
Let k be (950/(-45))/(-5) + -4. Which is the second biggest value? (a) -2/15 (b) 14 (c) k (d) -2/9
c
Let h = -1.2 + 8.2. Let r = 6.6 - h. What is the smallest value in -1/7, 0, r?
r
Let n be 345/222 - (-1 + 1). Let d = -2/37 + n. Suppose 5*w - 22 - 3 = 0. Which is the second smallest value? (a) w (b) d (c) -4/7
b
Let g = 554 + -29917/54. Which is the third smallest value? (a) g (b) -2 (c) 5 (d) 2/3
d
Let q = -0.2 + -0.1. Let z = 0.1 + q. Let i = -5 - -1. Which is the third biggest value? (a) 2 (b) z (c) i
c
Let l = -3.2 + 3. Let i be 1 + 62/(-24) + 664/498. What is the second biggest value in i, l, 0.4?
l
Let f = 6108 + -6105. Let n = -0.1 + 0.2. Which is the third biggest value? (a) -0.3 (b) n (c) f
a
Let v = -61/40 - -7/5. Let f = 26.1 + -26. Let k = 0.4 + f. Which is the third smallest value? (a) k (b) v (c) -2/15
a
Let f = 6.5 + -8. Let y be (-6)/8*22/66. What is the smallest value in 0.4, f, y?
f
Let k = 0.2311 - 0.0311. Which is the smallest value? (a) -4 (b) k (c) -0.2 (d) -3/8
a
Let w = 1788 + -1787.9. What is the smallest value in 0.4, 3.2, w, -1?
-1
Let j = -1229 - -1171. What is the smallest value in 3/2, -0.04, j?
j
Suppose 15*z = -36 - 39. What is the biggest value in -2, 6, z?
6
Let w = -125 - -79. Let n = w + 46.5. Let t = 0.9 - 1. Which is the smallest value? (a) -1 (b) n (c) t
a
Let i(k) = -k**2 + 21*k - 56. Let p be i(4). Which is the second smallest value? (a) 1 (b) 4 (c) p (d) -0.2
a
Let y = -4 + 7. Let v = -3890 - -3894. Which is the biggest value? (a) -2 (b) y (c) v
c
Let w = -38.43 + -0.57. Let x = 44 + w. Which is the biggest value? (a) x (b) -0.4 (c) 2/11
a
Let t = 226 + -225.6. Which is the smallest value? (a) t (b) -3 (c) -5 (d) 5/3
c
Suppose -19*z + 14*z + 410 = 0. Let s = z - 244/3. What is the second smallest value in -3/7, s, -4?
-3/7
Let g = 20.9 - 10.9. What is the second smallest value in -2, 4/3, g?
4/3
Let s = 24 - 31. Let p = -41 - -47.8. Let j = p + s. Which is the smallest value? (a) -2 (b) j (c) 4
a
Let q = 2/14895 - 1120106/14895. Let p = q - -75. Let n = -10/93 - -316/1209. Which is the smallest value? (a) p (b) -0.06 (c) n
a
Let y = -43 + 56.2. Let s = y + -1.2. Let z = s - 8. Which is the biggest value? (a) z (b) -0.3 (c) -1/4
a
Suppose -892*r = -878*r - 14. Which is the biggest value? (a) 80 (b) -3 (c) r (d) 4
a
Let h(r) = -r**3 + r**2 - r + 48. Let z be h(0). Let m = z + -99/2. Which is the biggest value? (a) -7 (b) 4 (c) m (d) 3
b
Suppose -2*o + 12 = 30*k - 27*k, -3*k + 12 = -5*o. Which is the third smallest value? (a) 0.5 (b) o (c) 22
c
Let f be (-60)/(-112) - (-2)/(-8). What is the biggest value in f, -2, -4/9?
f
Let i be ((-20)/(-8) + -3)/(-4). What is the third biggest value in -3, i, 1?
-3
Suppose 3 + 15 = -3*d. Let s be (-4)/d + (-40)/15. Which is the third biggest value? (a) s (b) -5/4 (c) 3/8
a
Let m = 2.354 + -130.354. Which is the biggest value? (a) 0.04 (b) 0.2 (c) m
b
Let l = -344 - -344. What is the second smallest value in 4, 0.4, l?
0.4
Let y = 0.1 - 0.3. Let t = -0.6 - y. Let b be 110/(-143)*(-9)/(-45)*-1. What is the second smallest value in b, t, 2?
b
Suppose -2*k - 153 = -5*y + 6*y, 5*y = 2*k + 159. Let s = k + 81. What is the smallest value in s, -3, -0.5?
-3
Let t = -1811/9 - -201. Which is the fourth smallest value? (a) -2/23 (b) t (c) -1/25 (d) 0.4
d
Suppose -13*q = -15*q + 10. What is the second biggest value in 5/7, q, 4?
4
Let f = 89 - 76. Let k = -21 - -31. Let p = f - k. Which is the second biggest value? (a) 1 (b) 5 (c) p
c
Let t = 0.191 - -2.809. What is the third smallest value in t, 4, 32?
32
Let z = -7 + 61/9. What is the third biggest value in -3, z, 2/3, 0.2?
z
Suppose 2*z - 2 = -2*u + 4*z, 0 = -4*u - 5*z + 13. Let v be -2 - (30/(-7) + u). Which is the third smallest value? (a) v (b) 0 (c) -1
a
Suppose 0 = -2*c + o + 6, 5*c + 3*o - 2*o = 22. Suppose -b = -d + b + 1, -3*d = -5*b - c. What is the fourth biggest value in -2/17, 5/4, d, -3?
-3
Let y = 2 + -2.07. Let n = 32.9 + -33. Let j = n - y. Which is the second smallest value? (a) j (b) -2/9 (c) 2
a
Let v = 17 + -83/5. What is the smallest value in 0.1, -186, v?
-186
Let y = -2851 - -17005/6. Suppose 4*l + 20 + 52 = -2*b, 8 = -4*b. Let o = l - y. What is the biggest value in 0.5, o, -0.2?
0.5
Let x be ((-81)/(-12))/3 - (8 - 6). Let l = 0.88 + -0.58. What is the second smallest value in x, -5, 2, l?
x
Let w = -914 - -911. Which is the second smallest value? (a) -1/12 (b) 2 (c) 5.7 (d) w
a
Let o = -12.9 + 12.4. Which is the fourth smallest value? (a) o (b) 3 (c) 4 (d) 2
c
Let r = 47 + -46.53. Let w = 0.01 - r. Let c = w + 0.16. What is the smallest value in c, -4, -4/9?
-4
Let v(b) = 3*b**2 + 4*b + 8. Let x be v(-3). What is the third biggest value in -4, -0.2, 1/6, x?
-0.2
Let h = 0.04 + -0.04. Let z = 49.2 - 49.3. What is the second smallest value in h, -2/3, z?
z
Suppose -20*x + 709 = -51. Which is the biggest value? (a) x (b) -4 (c) -1/6
a
Suppose 3*y - 29 = -11. Let u be y/2 + (-16)/6. Let l = 11/3 + -41/12. What is the third biggest value in u, l, 2?
l
Let w = 309 + -308.96. What is the second smallest value in -5, 0.3, 2/5, w?
w
Let i = -0.191 + -4.809. Let k = 247/609 + 2/87. What is the second biggest value in k, -2/5, i?
-2/5
Let w = 116 + -116.3. Let f be 6/(-15) + (-1)/(-15). Which is the smallest value? (a) f (b) -0.4 (c) w
b
Suppose -3*p = p. Suppose 2*v + 5*a - 20 = -p, 5*v = -2*a + 8. What is the smallest value in -7, v, -1?
-7
Let x = -9 + 8.59. Let q = -0.21 - x. What is the second smallest value in -3, -2, q?
-2
Suppose -4*w - 12 = -i, -4*i = -3*w + 78 - 100. Which is the third smallest value? (a) 0.5 (b) 3 (c) w
b
Let q = 0.65 + -0.55. Let j = -1.1 + 0.9. What is the fourth smallest value in 0.3, q, -0.3, j?
0.3
Let z = 12 - 11.85. Let g = z + 0.05. Let s = 0.04 - 4.04. Which is the third biggest value? (a) g (b) s (c) 3
b
Suppose 1102 = 8*g + 1094. What is the second biggest value in 10/19, -0.4, g?
10/19
Let h = -142 - -144. Which is the second smallest value? (a) -3 (b) h (c) 3
b
Let o = 13 + -16. Let f = 22 + -20. Suppose 0 = -j + 3*j + f. What is the smallest value in o, 3, j?
o
Let s = -3.11 - -0.11. Let u = 69 - 40. Let r = -29.4 + u. Which is the smallest value? (a) s (b) 2 (c) r
a
Suppose 2 = -2*p - 4*n, 4*p + n + 3*n - 4 = 0. What is the smallest value in p, 1, 1/10, -18?
-18
Let n = -18.8 - -2.3. Let w = n - -19. Let h = w - 2.2. What is the third smallest value in 2/5, -5, h?
2/5
Let t = 5.3 + -5.389. Let z = 3.911 - t. Which is the smallest value? (a) 0 (b) 1/3 (c) z (d) -2/7
d
Let n = -11.32 + -0.68. Let l = -3.5 + 3. What is the second smallest value in -2/9, l, n?
l
Let t = 6.95 - 1.95. What is the smallest value in -3, -20, t?
-20
Let r = -27.7 - -27. Let x = -0.5 - 2.5. Which is the second smallest value? (a) x (b) 4 (c) r
c
Let o be 52/(-48) - (-2)/6. Let r = -82124/45 - -1825. Which is the third biggest value? (a) o (b) 0 (c) r
a
Let o be -3 + 92/28 - (-26)/7. What is the third smallest value in 5, 11, o, -8?
5
Let j = 22 + -157/7. Which is the third smallest value? (a) 0.21 (b) -0.2 (c) j
a
Let g = -0.12 - -1.52. Let q = 3.6 + g. What is the biggest value in -1/2, q, -3?
q
Let t be ((-2)/8)/((-6)/8). Let o = -1731 - -1730.6. Which is the second smallest value? (a) o (b) 0.01 (c) t (d) 0.5
b
Let z be (-2)/36*3/2. Let y be 2*-1 + 12/(-76)*-12. Let g = 24/133 - y. Which is the second biggest value? (a) g (b) z (c) -2/5
b
Let s = 100 + -95. What is the second biggest value in -1/5, s, -0.7?
-1/5
Let z be (-6*1)/(99*3/18). Which is the fourth biggest value? (a) 5 (b) -2 (c) -4 (d) z
c
Let r be 12/(-28) - 372/(-84). Let b = -3 + 4. Let s be -2 + (b - (-42)/38). What is the biggest value i
|
{
"pile_set_name": "DM Mathematics"
}
|
-6.
-390331/2
-114 divided by 60065
-114/60065
-9585642 divided by -3421
2802
What is -2843 divided by 343?
-2843/343
What is 45268864 divided by 10624?
4261
What is 361502499 divided by 120500833?
3
What is -324345142 divided by -22?
14742961
36 divided by 658431
4/73159
What is -117349884 divided by 36?
-3259719
-93 divided by 125761
-93/125761
What is 10967884 divided by 2741971?
4
What is 608846 divided by -2198?
-277
What is -3 divided by 782571?
-1/260857
-8 divided by -1537283
8/1537283
Divide -15 by 11777401.
-15/11777401
Calculate 707128860 divided by -11087.
-63780
Calculate -6350310 divided by 222.
-28605
Calculate 258631767 divided by 644967.
401
What is 1163001 divided by 1?
1163001
What is 2670285 divided by 39855?
67
What is 9263529 divided by 842139?
11
-44913 divided by -10903
44913/10903
7596 divided by 5045
7596/5045
285166680 divided by 213608
1335
Calculate 1186627 divided by -22.
-1186627/22
-6541200 divided by -10350
632
-5024 divided by -684
1256/171
Calculate -76383099 divided by -25461033.
3
3 divided by -29927731
-3/29927731
-1141788 divided by 95149
-12
Divide -1925920 by -1.
1925920
What is -6 divided by -10570890?
1/1761815
Divide -51 by 173983.
-51/173983
5236240 divided by -1480
-3538
What is -948346 divided by -948346?
1
0 divided by 5368851
0
39472680 divided by -104
-379545
What is -460812534 divided by -700323?
658
Calculate 28437 divided by -38.
-28437/38
-7164330 divided by 3
-2388110
16898750 divided by -5
-3379750
Calculate 619356774 divided by -6.
-103226129
Calculate 3 divided by 42897592.
3/42897592
What is 261817 divided by -23?
-261817/23
Calculate -971 divided by 1722280.
-971/1722280
Calculate 10148418 divided by 10148418.
1
Calculate 25015 divided by -3895.
-5003/779
Calculate 5910735 divided by -394049.
-15
Divide 41175940 by -5.
-8235188
What is 7 divided by 2344917?
7/2344917
Calculate 3852 divided by 7967.
3852/7967
Divide 42837120 by -480.
-89244
-109777 divided by -442
109777/442
What is -13 divided by -438762?
13/438762
Calculate 160 divided by -4025878.
-80/2012939
What is -9767720 divided by -40?
244193
Calculate -97143 divided by 91.
-97143/91
What is -227 divided by 29037?
-227/29037
Calculate -1 divided by -2025226.
1/2025226
Divide -15821087 by -5.
15821087/5
What is -97653780 divided by 2325090?
-42
Calculate 1238816 divided by -188.
-309704/47
-108912032 divided by 64217
-1696
294230560 divided by -9010
-32656
988624529 divided by -643217
-1537
What is -12044940 divided by 3?
-4014980
Calculate -4 divided by -161128971.
4/161128971
Calculate 26 divided by -2446148.
-13/1223074
1320015 divided by 15
88001
-1027 divided by -4093
1027/4093
11173352 divided by -385288
-29
Divide -7666230 by -1787.
4290
Calculate -45351 divided by 39.
-15117/13
Divide -179199090 by -2.
89599545
Calculate 56610 divided by -102.
-555
Calculate -947672744 divided by -4.
236918186
Calculate -3029227 divided by -1.
3029227
What is 2530152852 divided by 6?
421692142
Divide -4761903 by -8.
4761903/8
What is -55179036 divided by 2?
-27589518
Calculate 107404 divided by -2422.
-53702/1211
Calculate 508534 divided by 19.
508534/19
Divide -18596949 by 9.
-6198983/3
-3 divided by -10753283
3/10753283
Divide -19 by -1288553.
19/1288553
-271790080 divided by 23
-11816960
-142 divided by 476208
-71/238104
What is -590928876 divided by 18?
-32829382
What is 5724 divided by -75?
-1908/25
Divide 88212099 by 88212099.
1
Divide 434759922 by -1354.
-321093
Divide 30156112 by -2154008.
-14
What is 582 divided by -47254?
-291/23627
1197792 divided by 399264
3
Divide -3897040 by 56.
-69590
-37512770 divided by -7502554
5
Divide -165316 by -82658.
2
Calculate -33749252 divided by -4.
8437313
Calculate -1 divided by -35778640.
1/35778640
What is 3 divided by 572831?
3/572831
What is -91352215 divided by 18270443?
-5
Divide -2131675 by -104.
163975/8
What is 4 divided by 4934381?
4/4934381
Calculate 182446623 divided by 60815541.
3
What is -2302020 divided by 31?
-2302020/31
What is 100698489 divided by 4?
100698489/4
What is 1362430 divided by -16615?
-82
What is -7645 divided by 9221?
-7645/9221
Calculate 12875 divided by 580.
2575/116
Calculate 3 divided by -52389133.
-3/52389133
Calculate 57 divided by -8089800.
-19/2696600
What is 21716838 divided by -1947?
-11154
21026523 divided by 1
21026523
Calculate -3 divided by -3904443.
1/1301481
Calculate -110278388 divided by 1556.
-70873
417287567 divided by -197
-2118211
Divide 17944386 by 2.
8972193
744230950 divided by 5735
129770
Calculate 17 divided by 995751.
17/995751
Calculate -2941928 divided by -2648.
1111
-8 divided by -345178
4/172589
-37808320 divided by 10741
-3520
Divide 1668 by 90567.
556/30189
What is -187664200 divided by 4?
-46916050
Divide 28214571 by -140371.
-201
What is 5390004 divided by -234348?
-23
What is 0 divided by -14048518?
0
Divide 0 by 111786898.
0
22897728 divided by 68148
336
Calculate 50449849 divided by 5.
50449849/5
Divide 34 by -2605804.
-17/1302902
Divide -226922 by -171.
226922/171
Divide 40886526 by -13628842.
-3
What is 720117 divided by -4?
-720117/4
98697600 divided by 8280
11920
Divide -10193 by 10930.
-10193/10930
Calculate 7285040 divided by -80.
-91063
Divide -111672 by -216.
517
Divide -140 by -47566.
70/23783
Calculate 5098294 divided by -6.
-2549147/3
What is 873374502 divided by 26465894?
33
Calculate -12267752 divided by 7426.
-1652
Divide 2 by -7208617.
-2/7208617
What is -813226127 divided by 66283?
-12269
Calculate -4 divided by -19429015.
4/19429015
Divide 16284082 by -9.
-16284082/9
Divide 25 by 13760084.
25/13760084
Calculate -16121084 divided by 14.
-1151506
What is -10402436 divided by 4?
-2600609
What is -1032415 divided by -13?
1032415/13
Calculate -203111780 divided by 40622356.
-5
-188990 divided by 92
-94495/46
Calculate -181353 divided by 224.
-181353/224
Calculate -158 divided by -210245.
158/210245
677 divided by -91401
-677/91401
Calculate -211023968 divided by 1889.
-111712
Calculate -443860 divided by -161.
443860/161
Divide 2503 by 2298.
2503/2298
What is -813 divided by 199250?
-813/199250
Calculate 1092074 divided by -25.
-1092074/25
What is -35518002 divided by -29378?
1209
Calculate -348652098 divided by -6.
58108683
Calculate 23940798 divided by 30001.
798
Calculate -54 divided by 2731439.
-54/2731439
0 divided by 11318700
0
Calculate -249609550 divided by 49921910.
-5
What is -17848443 divided by -5?
17848443/5
What is 135846620 divided by -10449740?
-13
Divide -24337032 by 12168516.
-2
-7000832 divided by 164
-42688
-931623 divided by -86
931623/86
Calculate 7410058 divided by 2.
3705029
Divide -865 by 475331.
-865/475331
What is 9 divided by -4743907?
-9/4743907
What is 139689 divided by -2739?
-51
What is 14650 divided by 1854?
7325/927
Calculate 12545965 divided by 13001.
965
Divide 334496292 by 494.
677118
767 divided by 67505
767/67505
-60430410 divided by 933
-64770
Calculate 4 divided by -1113036.
-1/278259
-18111929 divided by -24
18111929/24
Calculate -5 divided by -33393116.
5/33393116
Divide -186 by 175439.
-186/175439
Divide 643791 by -31.
-643791/31
11704602 divided by -3094
-3783
Calculate -148786694 divided by 74.
-2010631
Calculate 69947 divided by 175.
69947/175
What is -14983820 divided by 197?
-76060
-184011638 divided by 17
-10824214
Calculate -59 divided by 237351.
-59/237351
What is 2357718 divided by -278?
-8481
Calculate 625816070 divided by -1.
-625816070
Divide -9 by 9545.
-9/9545
Divide -4714 by 677.
-4714/677
6435366 divided by 5
6435366/5
Divide 0 by -317817.
0
Divide -24420996 by -12210498.
2
Divide -12497524 by 480674.
-26
Divide -1231250235 by 2.
-1231250235/2
-85080168 divided by 3
-28360056
What is 1 divided by 27164088?
1/27164088
What is -56954613 divided by -5?
56954613/5
Calculate 237845134 divided by -30662.
-7757
What is -286889015 divided by 443?
-647605
Divide 609624510 by -165.
-3694694
Calculate -9 divided by 2273163.
-3/757721
What is -583281 divided by -9?
64809
7557336 divided by -9764
-774
Calculate 1673 divided by -957.
-1673/957
2957 divided by 5710
2957/5710
What is -3367500 divided by -12?
280625
Divide -830236 by -1.
830236
-391352285 divided by -1066355
367
What is -688598 divided by 12?
-344299/6
What is -14 divided by 124038?
-7/62019
47518
|
{
"pile_set_name": "DM Mathematics"
}
|
alves of a microsecond in nanoseconds?
3500
What is 4215.967 milliseconds in seconds?
4.215967
How many years are there in 0.2300571 months?
0.019171425
How many micrograms are there in 1/5 of a milligram?
200
What is thirteen quarters of a litre in millilitres?
3250
How many centimeters are there in 91401.8 meters?
9140180
How many millilitres are there in 6.364578l?
6364.578
What is fourty-two fifths of a hour in seconds?
30240
Convert 37870837.2ms to weeks.
0.062617125
How many minutes are there in 32/5 of a day?
9216
What is twenty-nine fifths of a century in years?
580
How many millilitres are there in 7/2 of a litre?
3500
Convert 0.4380905 centimeters to kilometers.
0.000004380905
How many minutes are there in six fifths of a hour?
72
What is 4208.761t in kilograms?
4208761
How many seconds are there in two fifteenths of a hour?
480
Convert 89.61842km to millimeters.
89618420
What is three sixteenths of a day in seconds?
16200
What is 3/40 of a millisecond in microseconds?
75
What is 43.99742mm in meters?
0.04399742
How many millilitres are there in 922.5211 litres?
922521.1
What is 13/5 of a centimeter in millimeters?
26
What is 8/25 of a kilogram in grams?
320
What is 1393.01 meters in centimeters?
139301
Convert 0.2864944 decades to years.
2.864944
Convert 446.5975 centuries to years.
44659.75
Convert 0.4953192nm to micrometers.
0.0004953192
What is one twentieth of a tonne in kilograms?
50
How many years are there in 7840.751 centuries?
784075.1
What is 7/3 of a millennium in months?
28000
Convert 1307810.259 nanoseconds to weeks.
0.0000000021623846875
What is 17/2 of a day in hours?
204
How many centimeters are there in 348.4115 kilometers?
34841150
What is 738211.4 millilitres in litres?
738.2114
What is 8.55345t in kilograms?
8553.45
How many micrometers are there in 3/40 of a centimeter?
750
How many kilograms are there in fifty-nine fifths of a tonne?
11800
Convert 28571.64ng to kilograms.
0.00000002857164
How many meters are there in twenty-seven halves of a kilometer?
13500
What is 4380.249 microseconds in nanoseconds?
4380249
How many nanometers are there in 75087.2km?
75087200000000000
How many weeks are there in 18517.0104 seconds?
0.03061675
What is eleven quarters of a meter in centimeters?
275
How many nanograms are there in 3/5 of a microgram?
600
What is 2037.235l in millilitres?
2037235
What is 63101.64 milliseconds in seconds?
63.10164
How many minutes are there in ten thirds of a week?
33600
What is thirteen quarters of a century in years?
325
How many millimeters are there in fourty-six fifths of a meter?
9200
How many milliseconds are there in fifty-three fifths of a second?
10600
What is 7777.74 days in nanoseconds?
671996736000000000
How many nanoseconds are there in 305.3934 weeks?
184701928320000000
What is 1/5 of a kilometer in centimeters?
20000
What is 3/32 of a kilogram in milligrams?
93750
How many millilitres are there in 7/4 of a litre?
1750
What is 1/5 of a century in decades?
2
Convert 13833015.84ns to weeks.
0.00000002287205
What is 13/5 of a second in milliseconds?
2600
How many meters are there in 2.451708 millimeters?
0.002451708
How many nanometers are there in 3/50 of a millimeter?
60000
What is fifty-five sixths of a hour in seconds?
33000
How many nanograms are there in seventy-five halves of a microgram?
37500
How many micrograms are there in 54/5 of a milligram?
10800
How many grams are there in 9.531285 milligrams?
0.009531285
Convert 471480.8 micrograms to grams.
0.4714808
How many micrometers are there in 6/5 of a millimeter?
1200
How many nanoseconds are there in 0.5504896 weeks?
332936110080000
How many decades are there in twenty-nine fifths of a millennium?
580
What is thirty-seven fifths of a microgram in nanograms?
7400
What is 2160.284 kilometers in millimeters?
2160284000
What is seventy-four fifths of a millimeter in micrometers?
14800
What is three tenths of a micrometer in nanometers?
300
How many milligrams are there in thirty-three fifths of a gram?
6600
How many centuries are there in 72107.57 decades?
7210.757
How many seconds are there in 42/5 of a minute?
504
What is 3/40 of a millimeter in nanometers?
75000
What is 1/10 of a hour in seconds?
360
What is three tenths of a kilometer in centimeters?
30000
What is 7/2 of a litre in millilitres?
3500
How many meters are there in 411210.6 kilometers?
411210600
How many millennia are there in 30.98323 decades?
0.3098323
What is 3/40 of a litre in millilitres?
75
Convert 8.2491183s to days.
0.00009547590625
How many months are there in 878.7161 centuries?
1054459.32
How many milligrams are there in 263.8295 grams?
263829.5
How many litres are there in 791674.1ml?
791.6741
What is 26/5 of a gram in milligrams?
5200
What is 3.17552 litres in millilitres?
3175.52
What is 5/8 of a microgram in nanograms?
625
Convert 469.445 tonnes to nanograms.
469445000000000000
How many millilitres are there in 5/8 of a litre?
625
How many centimeters are there in seventy-three quarters of a meter?
1825
How many days are there in 654.276 hours?
27.2615
How many nanograms are there in 1/10 of a microgram?
100
What is 515.1936 millimeters in nanometers?
515193600
How many kilometers are there in 0.9702632m?
0.0009702632
How many meters are there in 1793.803mm?
1.793803
What is 29/5 of a microgram in nanograms?
5800
Convert 687.4802 kilometers to millimeters.
687480200
How many micrometers are there in 3.333414 meters?
3333414
How many centuries are there in eighteen fifths of a millennium?
36
What is thirty-seven fifths of a microgram in nanograms?
7400
What is 110860.95 months in years?
9238.4125
What is 92.76146m in millimeters?
92761.46
How many days are there in twelve sevenths of a week?
12
What is thirty-two fifths of a decade in years?
64
How many seconds are there in 5/24 of a day?
18000
How many millilitres are there in 619.889l?
619889
How many litres are there in 8732.375ml?
8.732375
What is 7/8 of a microsecond in nanoseconds?
875
Convert 21159.46g to kilograms.
21.15946
How many hours are there in 17/4 of a day?
102
How many nanograms are there in 571.713g?
571713000000
How many grams are there in twenty-one eighths of a kilogram?
2625
How many nanometers are there in 565.5591 meters?
565559100000
How many millimeters are there in 6.502636 micrometers?
0.006502636
Convert 745274.2l to millilitres.
745274200
What is 40.05542kg in tonnes?
0.04005542
Convert 0.667684 micrometers to kilometers.
0.000000000667684
How many millilitres are there in 78.3868 litres?
78386.8
How many millilitres are there in twenty-one eighths of a litre?
2625
Convert 94158.47 centimeters to micrometers.
941584700
What is 2/75 of a day in seconds?
2304
What is six fifths of a litre in millilitres?
1200
What is 280204.86 months in centuries?
233.50405
What is 3/8 of a centimeter in micrometers?
3750
What is 68394.01ml in litres?
68.39401
Convert 673.921 litres to millilitres.
673921
How many milliseconds are there in 53717.88 days?
4641224832000
How many litres are there in 9994.553ml?
9.994553
How many litres are there in 8347.966 millilitres?
8.347966
What is 78.48772 kilograms in tonnes?
0.07848772
Convert 9.529414 hours to milliseconds.
34305890.4
What is 35.30339mm in kilometers?
0.00003530339
How many centimeters are there in three tenths of a meter?
30
How many meters are there in 9/10 of a kilometer?
900
What is 6892458.3ms in hours?
1.91457175
How many months are there in 4/15 of a decade?
32
Convert 2.8445013us to days.
0.00000000003292246875
What is three fifths of a litre in millilitres?
600
Convert 34252.04l to millilitres.
34252040
What is 73/4 of a litre in millilitres?
18250
Convert 125168.5 nanometers to meters.
0.0001251685
How many months are there in four thirds of a decade?
160
How many millilitres are there in 11/4 of a litre?
2750
How many millilitres are there in 17/2 of a litre?
8500
How many years are there in 33278.43 decades?
332784.3
Convert 0.8251423 millilitres to litres.
0.0008251423
How many millimeters are there in twenty-five eighths of a meter?
3125
What is eleven halves of a litre in millilitres?
5500
What is 11/10 of a milligram in micrograms?
1100
What is 9.003045l in millilitres?
9003.045
How many kilograms are there in
|
{
"pile_set_name": "DM Mathematics"
}
|
, -5 in ascending order.
-72, -33, -5
Sort -8, 4, -13.
-13, -8, 4
Sort -10, 7, -4, -5.
-10, -5, -4, 7
Sort 1, 19, 5 in decreasing order.
19, 5, 1
Sort -3.21, 3/7, -3/5 in increasing order.
-3.21, -3/5, 3/7
Put -4, -3/61, 0.1 in decreasing order.
0.1, -3/61, -4
Sort -4, -64, 18.
-64, -4, 18
Sort -17, 2, -0.4 in ascending order.
-17, -0.4, 2
Put -18, 3/4, -14, 1 in descending order.
1, 3/4, -14, -18
Sort 5, -3, -127, -35 in increasing order.
-127, -35, -3, 5
Put 4, 1, -12, -5 in increasing order.
-12, -5, 1, 4
Sort 35, 5/4, -3 in decreasing order.
35, 5/4, -3
Sort 3, -40, 1, 5 in ascending order.
-40, 1, 3, 5
Sort 0, -7, -3.
-7, -3, 0
Put -2, 42, 25 in ascending order.
-2, 25, 42
Sort 2, -7, -9, 1 in ascending order.
-9, -7, 1, 2
Put -1/3, -0.1, -1, -30 in increasing order.
-30, -1, -1/3, -0.1
Put -16, 4, 136 in descending order.
136, 4, -16
Put -0.7, -5, -2, 3/8 in increasing order.
-5, -2, -0.7, 3/8
Sort 2, -1/3, -2, 5 in descending order.
5, 2, -1/3, -2
Put -2, -1/4, 5, -36, 0.04 in decreasing order.
5, 0.04, -1/4, -2, -36
Put -3, -1, 1, -39 in ascending order.
-39, -3, -1, 1
Sort -59, -1, -2 in decreasing order.
-1, -2, -59
Sort -4, 0.0688, -3 in decreasing order.
0.0688, -3, -4
Put -0.3, 5, 1289 in decreasing order.
1289, 5, -0.3
Sort -1, 1, -5, -69 in increasing order.
-69, -5, -1, 1
Put -1, -2, 33, 2 in ascending order.
-2, -1, 2, 33
Sort -4, -1297, 1 in decreasing order.
1, -4, -1297
Sort -138, 0, 24.
-138, 0, 24
Put 5, -14, 3, -1, -9 in decreasing order.
5, 3, -1, -9, -14
Put -2/7, -0.0839, 2 in ascending order.
-2/7, -0.0839, 2
Sort 2/697, 1/5, 4.
2/697, 1/5, 4
Put -3, 0, 3, 10 in increasing order.
-3, 0, 3, 10
Put 8, 1, 5, -4, 2 in increasing order.
-4, 1, 2, 5, 8
Put -1, 683, -5 in ascending order.
-5, -1, 683
Put 4, 3, 52 in descending order.
52, 4, 3
Put -0.4, 0.5, 236 in increasing order.
-0.4, 0.5, 236
Put 2, -3/91, 3, 10, 0.3 in decreasing order.
10, 3, 2, 0.3, -3/91
Sort -0.7, -1/6, 56.7, 0 in ascending order.
-0.7, -1/6, 0, 56.7
Sort -0.2, -0.4, -0.3, -5/4, -0.1 in ascending order.
-5/4, -0.4, -0.3, -0.2, -0.1
Sort -4, -1, 8, -3, -1/4 in decreasing order.
8, -1/4, -1, -3, -4
Sort 0.1, 3, 1, 0.5, 6/11 in increasing order.
0.1, 0.5, 6/11, 1, 3
Put -606, 4, 2 in ascending order.
-606, 2, 4
Put -2/33, 0.1, -3/5, -3/2 in descending order.
0.1, -2/33, -3/5, -3/2
Put -2/3, 0.5, 7/9 in ascending order.
-2/3, 0.5, 7/9
Put -3, -79, 2, 1 in decreasing order.
2, 1, -3, -79
Put -55, 2, -2 in ascending order.
-55, -2, 2
Put 2, 0.5, 3/5 in increasing order.
0.5, 3/5, 2
Sort 4, 43, -2, 2 in ascending order.
-2, 2, 4, 43
Put -2, 15, 5, 0, 2 in increasing order.
-2, 0, 2, 5, 15
Sort 2, -21, -5, 1, 4.
-21, -5, 1, 2, 4
Put 0, 1, 59, 4 in descending order.
59, 4, 1, 0
Sort -12, 0, -9, 5.
-12, -9, 0, 5
Sort -2, 2, -50 in ascending order.
-50, -2, 2
Put 2, -7, -22 in increasing order.
-22, -7, 2
Put -3, 5, -5, 220, 2 in increasing order.
-5, -3, 2, 5, 220
Put 3, -23, -3, 4, 2 in decreasing order.
4, 3, 2, -3, -23
Sort -4, -5, -10, 95.
-10, -5, -4, 95
Sort 6, -5, -4, -0.1, -70.
-70, -5, -4, -0.1, 6
Put 1, 233, 4 in ascending order.
1, 4, 233
Sort 2/3, 0, -0.2.
-0.2, 0, 2/3
Sort 4, -1, 1, 100 in decreasing order.
100, 4, 1, -1
Sort -2/9, 0.1, 0.7, -15.
-15, -2/9, 0.1, 0.7
Put 1, 681, 4 in decreasing order.
681, 4, 1
Put 0.1, -2/5, -5, 10 in ascending order.
-5, -2/5, 0.1, 10
Sort -0.3, 4, -1/2, 6/5, 0.017.
-1/2, -0.3, 0.017, 6/5, 4
Put -1/80, 1/9, 0.16 in decreasing order.
0.16, 1/9, -1/80
Sort 29, 0, 1/4 in increasing order.
0, 1/4, 29
Sort -3, -0.11, 16, -6/7, -1 in decreasing order.
16, -0.11, -6/7, -1, -3
Put -0.016, -0.2, -3, 1/3 in decreasing order.
1/3, -0.016, -0.2, -3
Sort 43, -4, 7, -3, -5.
-5, -4, -3, 7, 43
Sort 1, -5, -0.04, 1/8 in ascending order.
-5, -0.04, 1/8, 1
Put -3, 16, -609 in decreasing order.
16, -3, -609
Put 0.5, -9, -0.16, 5 in increasing order.
-9, -0.16, 0.5, 5
Put -3, 25, -5, 5 in increasing order.
-5, -3, 5, 25
Sort 2, 44, 0 in increasing order.
0, 2, 44
Put 4, 2, -117, 1 in descending order.
4, 2, 1, -117
Put 1, -11, 2, -3, 23 in decreasing order.
23, 2, 1, -3, -11
Put 2/3, -0.6, -0.01, 5/6, -5 in descending order.
5/6, 2/3, -0.01, -0.6, -5
Sort -4, 4, -23, -1, -2 in increasing order.
-23, -4, -2, -1, 4
Sort -2, -2/9, -118, 0.
-118, -2, -2/9, 0
Sort 1, 3, 146, -3 in increasing order.
-3, 1, 3, 146
Sort -72, 5, -5 in descending order.
5, -5, -72
Sort 0.2, 4, -0.3, 7.
-0.3, 0.2, 4, 7
Sort 82, 3, 5 in increasing order.
3, 5, 82
Sort 1, 0, -2, -5 in ascending order.
-5, -2, 0, 1
Sort -2/19, 4, 0.1, -27/5 in ascending order.
-27/5, -2/19, 0.1, 4
Put -2, -8, -10/11 in descending order.
-10/11, -2, -8
Put 2, 1, 30 in increasing order.
1, 2, 30
Put 9, -3/4, 0.5 in descending order.
9, 0.5, -3/4
Sort 0, 7/9, -3, -5 in decreasing order.
7/9, 0, -3, -5
Sort -13, 0, -5, 19, -1 in descending order.
19, 0, -1, -5, -13
Sort 6, -2, 3, -1.
-2, -1, 3, 6
Sort 3, 2, 29.
2, 3, 29
Sort -0.3, 4/15, 2 in decreasing order.
2, 4/15, -0.3
Put -9, -5, -16 in ascending order.
-16, -9, -5
Sort -2, 2, -7, 12 in ascending order.
-7, -2, 2, 12
Sort -7, 4, 5, -5, -2 in decreasing order.
5, 4, -2, -5, -7
Sort 82, 10, 2, 1/4, -1/2 in descending order.
82, 10, 2, 1/4, -1/2
Sort 32, -1, 0, -4 in decreasing order.
32, 0, -1, -4
Sort 45, 0, 4 in decreasing order.
45, 4, 0
Sort 8, -4, 1 in descending order.
8, 1, -4
Sort -3, 8, 4 in descending order.
8, 4, -3
Put 1/9, -2/7, -1.202 in descending order.
1/9, -2/7, -1.202
Put 1, 3, -4 in descending order.
3, 1, -4
Put 0, 3, -269 in decreasing order.
3, 0, -269
Sort 3/2, -4, 2/7, -8 in decreasing order.
3/2, 2/7, -4, -8
Put -2/7, 5/2, -5, 8.4 in decreasing order.
8.4, 5/2, -2/7, -5
Sort -55, -4, -5, 0 in descending order.
0, -4, -5, -55
Sort -3, -2, -46, -5.
-46, -5, -3, -2
Put -1.2, -2/7, 4, 12 in decreasing order.
12, 4, -2/7, -1.2
Sort -9, 28, 1, 4 in descending order.
28, 4, 1, -9
Put -4, 4, 211, 3 in decreasing order.
211, 4, 3, -4
Sort -4, -19, 0, 5 in descending order.
5, 0, -4, -19
Sort -0.71, 0.3, -3/56 in decreasing order.
0.3, -3/56, -0.71
Put 1, -6/5, -5, 0.2 in increasing order.
-5, -6/5, 0.2, 1
Sort -3, -122, -5, -4, 3 in descending order.
3, -3, -4, -5, -122
Put -2, -62, -3/2, -3 in increasing order.
-62, -3, -2, -3/2
Put 2, -3, -1 in descending order.
2, -1, -3
Sort -2, 3, -3/2, -3.5 in ascending order.
-3.5, -2, -3/2, 3
Sort -1, 300, 1, 3 in decreasing order.
300, 3, 1, -1
Put 1, 0, 36 in increasing order.
0, 1, 36
Sort -39, 5, 1 in ascending order.
-39, 1, 5
Put 1, -0.4, -1.8, 5 in decreasing order.
5, 1, -0.4, -1.8
Sort -7, 0, -8 in descending order.
0, -7, -8
Sort -0.5, 0.2, -623 in descending order.
0.2, -0.5, -623
Put 4, -6/7, 5.8, -1/9 in descending order.
5.8, 4, -1/9, -6/7
Put 5, 2, -4, -2, 61 in decreasing order.
61, 5, 2, -2, -4
Put 2, -4, 5, 19 in descending order.
19, 5, 2, -4
Sort 1/3, -4, -81/2, -2/9 in increasing order.
-81/2, -4, -2/9, 1/3
Put 1/545, -3, 4 in ascending order.
-3, 1/545, 4
Put -5, -1, -16, 19 in descending order.
19, -1, -5, -16
Sort -16, 4, 1, 3 in descending order.
4, 3, 1, -16
Sort 2, 6, -12 in increasing order.
-12, 2, 6
Put 2, 88, 3 in increasing order.
2, 3, 88
Sort 5, 0, 11, 1, -30 in ascending order.
-30, 0, 1, 5, 11
Sort 15, -2/3, -45 in descending order.
15, -2/3, -45
Sort -99, 17, -5.
-99, -5, 17
Put 5, -0.031, 4 in ascending order.
-0.031, 4, 5
Put -4/3, -0.2, -0.1, 0, 3 in descending order.
3, 0, -0.1, -0.2, -4/3
Sort 4/9, -37, -0.1, 1, -4/5 in decreasing order.
1, 4/9, -0.1, -4/5, -37
Sort 3/28, 3, -0.2, 1 in descending order.
3, 1, 3/28, -0.2
Sort 0, -33, 2.
-33, 0, 2
Put 1, 9, -5 in descending order.
9, 1, -5
Sort -1, -2, -27 in decreasing order.
-1, -2, -27
Sort -339, 0.4, -0.2.
-339, -0.2, 0.4
Put 3/5, 2/15, 14, 1/7 in ascending order.
2/15, 1/7, 3/5, 14
Sort -3, 37, -9, 4, -2 in ascending order.
-9, -3, -2, 4, 37
Put -2/7, -3, 63 in descending order.
63, -2/7, -3
Put -3, 145, 0 in decreasing order.
145, 0, -3
Sort 4, -0.4, 9467 in descending order.
9467, 4, -0.4
Sort -8, 2, 226, 0.5.
-8, 0.5, 2, 226
Put -3, -5, 2/9, 10/9 in decreasing order.
10/9, 2/9, -3, -5
Put -0.152, 6, -2/11 in descending order.
6, -0.152, -2/11
Put 0, -64, -1, -10 in descending order.
0, -1, -10, -64
Sort 1/6, -2, -38 in ascending order.
-38, -2, 1/6
Sort 14, -5, -4, 3 in
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2. Let p = 5 - 11. What are the prime factors of l(p)?
2, 5
Suppose -b + k + 3 = 0, b - 5*k + 3 = -2*k. List the prime factors of b.
2, 3
Suppose w = -0*w. Let c be 0/(w + (-2)/(-1)). Let x(b) = b**3 + b**2 + b + 6. List the prime factors of x(c).
2, 3
Let s = 6 + -2. Suppose 0 = l + 4*d - 25, 3*l - 3 = 5*d + s. Suppose 0 = 3*z - 6 - l. List the prime factors of z.
5
Suppose -3*o + 1 = -14. Let i(f) = f**3 - 10*f**2 + 2*f - 10. Let k be i(10). Suppose -3*w + o*g - k = -28, 3*w + g = 36. List the prime factors of w.
11
Let c(g) = 2*g + 4. Let l be c(-3). Let n(h) be the first derivative of -3*h**2 - 2. List the prime factors of n(l).
2, 3
Let z(p) = -9*p**3 + p. Suppose -4*v + 2*a = 0, 5*v - 4*a - 6 = 3*v. What are the prime factors of z(v)?
2
List the prime factors of (430/(-60))/((-1)/6).
43
Let p be 14/4 - 2/4. Suppose -m = p*m - 12. List the prime factors of (m/4)/((-1)/(-12)).
3
Let s(w) = -w**3 - 6*w**2 - 3*w - 6. Let m be s(-6). Suppose 0 = -0*g - 4*g - m. Let c(t) = t + 5. List the prime factors of c(g).
2
Suppose 5*n - 85 = -0*n. List the prime factors of n.
17
List the prime factors of ((-5)/(-4))/((-2)/(-32)).
2, 5
Let f be (-9)/(-4)*200/(-15). List the prime factors of (-312)/f + (-4)/10.
2, 5
Suppose -114 + 340 = 2*w. List the prime factors of w.
113
Let b(g) = -g**3 + 4*g**2 + 2*g - 4. Let y(a) = -a**2 - 8*a + 4. Let p be y(-8). List the prime factors of b(p).
2
Suppose -2*i - 3*i = -5. Let r be (2 + i)/(-3 - -4). Suppose 5*v = -r*t + 20, -2*v + 6 = -5*t - 2. What are the prime factors of v?
2
Let q be 34/8*(2 - -18). Let s = q + -52. List the prime factors of s.
3, 11
Suppose -90 = 4*i - 278. What are the prime factors of i?
47
Let b = 0 + 0. Suppose 51 = 3*i - b. What are the prime factors of i?
17
Suppose 3*i - 92 = -i. Let l = i - 3. List the prime factors of l.
2, 5
Suppose z = 5, 3*i + 3*z - 42 = 4*i. Let p = i + 47. Let a = -13 + p. What are the prime factors of a?
7
Let t be (-9)/6*20/(-6). Let w = 7 - 3. Suppose 5*d - 35 = t*r, 2*r = w*d - 21 - 11. What are the prime factors of d?
3
Let o be (-26)/(-8) + (-4)/16. Suppose -4*d = -20, -3*d - 33 = -o*y - 0*y. Let a = 22 - y. What are the prime factors of a?
2, 3
Let w be 4/(2/(-24)*-1). Suppose -w = 4*y - 6*y. List the prime factors of y.
2, 3
Let f(h) be the third derivative of -h**5/60 - 5*h**4/12 + 5*h**3/6 - 2*h**2. List the prime factors of f(-9).
2, 7
Suppose 2*r - 4*t + 13 = r, 5*r = -2*t - 153. Let x = r - -43. What are the prime factors of x?
2, 7
Let q(r) = r**2 - 4*r - 1. Let c be q(4). Let m(a) = 3*a**2 + 2*a - 1. Let v be m(-3). What are the prime factors of (1/(-2))/c*v?
2, 5
Let c = -35 + 63. Suppose c = -2*v + 3*v. What are the prime factors of v?
2, 7
Let x be (-1 - (-6 + 0)) + 0. Suppose x*z = 4 + 26. What are the prime factors of z?
2, 3
Let d(j) = -j**3 + 5*j**2 + 4*j + 1. What are the prime factors of d(4)?
3, 11
Suppose -11 = -2*x + 2*n - 3*n, 2*x + 2*n - 12 = 0. Suppose 4 = -2*y + i - 7, -5*i + 10 = x*y. Let h = 2 - y. What are the prime factors of h?
5
List the prime factors of 8/60 + 446/30.
3, 5
Let r(w) = -6*w**3 + w**2 + 7*w + 6. What are the prime factors of r(-4)?
2, 3, 7
Let s(j) = -14*j - 4. List the prime factors of s(-2).
2, 3
Suppose 7*c - 301 = 42. What are the prime factors of c?
7
Let x(i) = 8*i**2 - 5*i + 81. List the prime factors of x(7).
2, 3, 73
Suppose 6 = 3*y + 2*d + 1, -19 = -3*y + 5*d. Let x = y + 8. What are the prime factors of x?
11
Let n(m) = m - 1. Let r be n(4). Suppose 3*w + r = 45. What are the prime factors of (-4)/w + 535/35?
3, 5
Suppose 5*h = -5*t - 15, -2*t - 3*h = -6*h - 19. List the prime factors of t.
2
Suppose 7*g - 6*g - 45 = 0. Suppose 2*c - c = 2*k - g, c = 3. List the prime factors of k.
2, 3
Suppose q = 5*y + 43, -q + 2*y + 77 = 2*q. Let t = q + 3. List the prime factors of t.
2, 13
Let j be (-4)/(-14) - (-4)/(-14). Let z = -27 + 26. What are the prime factors of z/(j - 1) + 5?
2, 3
Suppose -24*f = -27*f + 393. List the prime factors of f.
131
Let l = -4 + 0. Let i = -3 + l. List the prime factors of (-3)/((4/i)/4).
3, 7
Suppose 18*b - 15 = 15*b. List the prime factors of b.
5
Suppose 4*g - 3*p = 20, 20 - 4 = -4*p. What are the prime factors of (g + -1)*1 - -1?
2
Let l = -1 + -5. Let h(o) = 5*o**2 - 28*o + 13. Let k(g) = g**2 - 7*g + 3. Let s(q) = -2*h(q) + 9*k(q). What are the prime factors of s(l)?
7
Let h be 21/(-28) + (-45)/4. List the prime factors of 77/3 + 8/h.
5
Let a(x) = x**3 - x - 2. Let r be a(2). Suppose r*u = b + 6*u + 3, 0 = 5*b + u - 12. Suppose -b*y + y = -28. List the prime factors of y.
2, 7
Let l(h) be the third derivative of -h**5/60 - 5*h**4/24 + 2*h**3/3 + h**2. Suppose -5 = 3*d + 4. What are the prime factors of l(d)?
2, 5
Let c(o) = o**2 - 6*o. Let n be c(6). Suppose n*i + 81 = -3*i. Let u = -19 - i. What are the prime factors of u?
2
Suppose -3*j = 5*v - 125, 4*v + 221 = 5*j + 6*v. List the prime factors of j.
3, 5
Let b(n) = -2*n - 2. Let h be b(-3). Suppose j + 9 = y, 5*j - 3 = y - h*y. What are the prime factors of y + -5 - (-1 + -2)?
2
List the prime factors of 6/(-14) - (-372)/84.
2
Let m(t) = 2*t + 4. Let s be m(9). Suppose 4 = 2*k - s. What are the prime factors of k?
13
List the prime factors of ((-66)/4)/((-9)/12).
2, 11
Suppose -o + 16 = -69. Suppose 2*j = 3*p - j - 75, -4*p - j = -o. What are the prime factors of p?
2, 11
Let u(q) = -q**2 + 10*q - 6. Let k(h) = 2*h + 3. Let t be k(2). What are the prime factors of u(t)?
3, 5
Let u = -36 - -81. List the prime factors of u.
3, 5
Let d(i) = -i**3 - 16*i**2 - 3*i - 16. What are the prime factors of d(-16)?
2
Suppose 151 = 4*l + 23. What are the prime factors of l?
2
What are the prime factors of -2 + (-8)/(-3) - (-6565)/39?
13
Suppose 0 = -5*r - 3*y + 21, -r + y = -3*r + 9. Let s = r + 6. What are the prime factors of s?
2, 3
Let n = 288 + -159. List the prime factors of n.
3, 43
Let u be (-1)/(2/(-8) - 0). Let x(d) = d - 6. Let c be x(u). List the prime factors of 52/8 - (-1)/c.
2, 3
Let k(r) = 3*r - 2. Let m(y) = -y**3 + 4*y**2 + 7*y - 6. Let o be m(5). Suppose -l = l - o. List the prime factors of k(l).
2
Let r(c) = -2*c**3 + 17*c**2 - 12*c + 10. Let q(p) = -p**3 + 9*p**2 - 6*p + 5. Let z(i) = -5*q(i) + 3*r(i). What are the prime factors of z(4)?
13
Suppose 5*q + 3*x = -1223, -q + 6*x - 241 = 3*x. Let a be q/(-16) + 2/(-8). Suppose 4 + 6 = d - 4*o, -2*d + 3*o + a = 0. List the prime factors of d.
2, 3
Suppose 1 = 2*i - 7. Suppose -8*d - 12 = -4*d, -s + 13 = -i*d. Suppose v = -4*n + n - s, -2*v - 1 = 5*n. What are the prime factors of v?
2
Let p(o) = -4*o - 1 - 2 + 0 + o. Let t be p(-2). Suppose 22 = x + x - 2*q, -2*x = t*q - 22. What are the prime factors of x?
11
Suppose 20 = 2*k - 56. Suppose -14 = -3*s - 4*p, 5*p = -5*s - 13 + k. What are the prime factors of s?
2, 3
What are the prime factors of ((-2)/6)/((-15)/1665)?
37
Let r(f) = -35*f - 2. What are the prime factors of r(-3)?
103
Suppose -8 = -3*j - j. Let t be (j - 3)/(2/(-6)). Suppose -5*w + 32 = -0*w - t*n, -38 = -5*w - 3*n. List the prime factors of w.
7
Suppose 4*d - 51 = -5*r, 0 = 2*r - 2*d + 4*d - 22. Suppose -21 = -r*p + 4*p. What are the prime factors of p?
7
Suppose 5*i + f - 64 = 0, -i + 4*f - f = 0. Let h = 2 - 8. What are the prime factors of -5 - h - (0 - i)?
13
Suppose -4*o = -9*o. Suppose -3*p + 18 = -0*p. Suppose o = -5*j + 2*l - 3*l + 57, -p = -j - 2*l. List the prime factors of j.
2, 3
Suppose 4*j - y - 98 = 0, 3*j + 2*y = 67 + 1. Suppose -j = -5*k + 3*k. What are the prime factors of k?
2, 3
Suppose 5*o = 2*g + 3*g - 30, -58 = 3*o + 5*g. Let p = 18 + o. What are the prime factors of (-2)/p + (-48)/(-21)?
2
Suppose -3*f + 2*i + 10 = 3*i, 2*f = 3*i + 3. Suppose 2*b - q - 92 = -3*b, -2*b = -f*q - 42. List the prime factors of b.
2, 3
Suppose 0 = 3*a - 4*c + 90, -150 = a + 4*a + 2*c. What are the prime factors of 1 + (-1)/(2/a)?
2
Let y(u) = u**3 + 5*u**2 - 4*u - 4. List the prime factors of y(-5).
2
Let m = -16 + 30. Suppose 0 = -5*n + 26 + m. List the prime factors of n.
2
Suppose 50 = a + 10. Suppose -2*p + 2 = -a. What are the prime factors of p?
3, 7
Let h(t) = -t**2 - 2*t + 2. Let m(v) = v**3 - 5*v**2 + 3*v - 6. Let p be m(5). Let n = -11 + p. What are the prime factors of h(n)?
2
Let m(p) = p**3 - 10*p**2 - 3. Let f be m(10). Let o = 2
|
{
"pile_set_name": "DM Mathematics"
}
|
k(b) = 2*b + 2. Let t be k(-2). Let l(x) be the first derivative of 2370*x - 46 + 13 - 2367*x + x**2. Give l(t).
-1
Let f be ((-34)/(-4) - -2)*32/6. Suppose 2*b + 60 = f. Let w(c) = -c**3 - c**2 + 2*c + 2. Calculate w(b).
2
Let y(b) = 86*b**2 + b - 87*b**2 - 82 + 2*b - 5*b. Give y(0).
-82
Suppose 77*m - 81*m = -2*r + 6, 1 = -4*r - 5*m. Let s(i) = i**3 - 4*i**2 - 4*i + 4. Let h be s(5). Let b(j) = -h*j**2 + 2 - 2 - j. What is b(r)?
-10
Let b(c) = -5*c**2 + 55*c - 121. Let k(f) = -f**2 - 2*f - 24. Let t(h) = -b(h) + 3*k(h). What is t(29)?
-38
Let f(h) = 3*h - 4. Let r(j) = 337*j + 1685. Let o be r(-5). Determine f(o).
-4
Let k(n) be the second derivative of n**3/6 - 8*n**2 - 846*n. What is k(24)?
8
Let n(k) be the second derivative of -89*k + 0*k**2 + 1/3*k**3 + 0. Let z(q) = q**2 + 4*q - 5. Let c be z(-4). Give n(c).
-10
Let k(h) = 0*h**2 + 8*h**2 + 6 + 7*h**2 - 18 - 22*h**2 - h**3. What is k(-7)?
-12
Let k(h) be the third derivative of h**6/120 + 2*h**5/15 + 5*h**4/12 + 11*h**3/6 + 2*h**2 - 9512. What is k(-2)?
15
Let y(z) = 8*z - 78. Let c = 20757 + -20751. What is y(c)?
-30
Let o(m) = -m - 15. Let u be o(-3). Let w be (16/u)/((-4)/36). Let a(r) = -r**2 + 12*r - 15. What is a(w)?
-15
Let m(s) = 51 - 3*s**2 + 181*s + 184*s + 4*s**2 - 387*s. What is m(3)?
-6
Suppose 5*i - 40 = v, -22*v = -24*v - 4*i + 18. Let x(b) = 9*b - 1. Let y(a) = -a + 1. Let u(d) = -2*x(d) - 14*y(d). Calculate u(v).
8
Let r = -166 + 181. Let a(i) = -3*i**2 + 44*i + 19. Let x be a(r). Let o(k) = -k**3 + 3*k**2 + 4*k + 4. Calculate o(x).
4
Let r be ((-16)/(-12))/(4/6). Suppose -2*b + 24 - 18 = 0. Let c(a) = -6*a**3 + 10*a**3 - 2*a**b - 3*a**2 - 1 + a. Calculate c(r).
5
Let c(l) = -l**3 + 6*l**2 - 2*l + 8. Let o = 264 - 258. Let d be c(o). Let q(x) = -x + 0 + 0*x - 1. What is q(d)?
3
Let h(r) = -205*r + 21 - 8 + 199*r + r**2 - 8. Let w = -2 + 8. Determine h(w).
5
Let l(i) = 2*i. Let t be ((-42)/15)/(2/(-10)). Suppose -2*h - t = -4*r, -7 = -3*r + 4*h + 1. Suppose -5*f - 38 = r*c, -f + c = 2*c + 8. Determine l(f).
-12
Suppose 1339 = -5*x + 1344. Let p(v) = -5*v**3 - 6*v**2 + 6*v - 1. Determine p(x).
-6
Let t(q) = 1 + 9 + 2404*q + 6 + 2 - 2391*q - 4*q**2. Give t(5).
-17
Let a(y) = 11*y + 29 + y**2 - 128 + 30 + 29 + 37. Let l(h) = h**3 - 3*h**2 - 4*h + 2. Let z be l(3). Determine a(z).
-13
Let l(u) be the third derivative of 3*u**2 + 0 - 7/3*u**3 + 15*u - 1/12*u**4. Give l(-13).
12
Let y(m) = -m + 1. Let d(c) = -c**2 - 3*c + 0*c - 2*c - 5*c. Let j be d(-9). Determine y(j).
-8
Let q be (-2)/10 + (-3 - (-261)/5). Let z = -44 + q. Let g(b) = b**3 - 3*b**2 - 8*b + 4. Calculate g(z).
14
Suppose -3*r = -0*r + 15. Let v(m) = 375*m + 380*m + 409*m - 1162*m - 5. Give v(r).
-15
Suppose -y = -2*t + 16, 2*y + y + 4*t + 18 = 0. Let h be 3 - (-28)/y - 68/(-10). Let d(p) = 4 + p**2 - 4 + h*p + p. Calculate d(-8).
0
Let r(c) = -20*c - 35. Let s(o) = -o**2 + 53*o - 398. Let m be s(44). What is r(m)?
5
Suppose 9*j - 480 = 15*j. Let g = 75 + j. Let r(t) = t - 3. Let x(l) = -4*l + 12. Let w(a) = 9*r(a) + 2*x(a). Give w(g).
-8
Let z(c) = 13*c + 31. Suppose -4*a + 2 = -4*a - a. Calculate z(a).
5
Let m(f) be the third derivative of f**6/360 + f**5/15 + 11*f**4/24 - 43*f**3/6 + f**2 + 2*f. Let u(n) be the first derivative of m(n). Determine u(-8).
11
Let y(h) be the first derivative of -5*h + 3/2*h**3 + 2*h**2 - 1/20*h**5 - 16 - 1/2*h**4. Let q(n) be the first derivative of y(n). Calculate q(-7).
-10
Let s(q) = 93 + 2*q - q + 86 + 79 - 254. Let k = -6 - -13. Give s(k).
11
Let f(y) = y**2 + 45*y + 11. Let p(m) = -484*m - 45. Let q be p(0). Determine f(q).
11
Suppose -4*k - 4*c = -5 - 23, 5*k - 35 = 2*c. Let b = -61 - -63. Let t(w) = -w**2 - b*w - k*w**2 - w**3 + 4 + 12*w**2. Calculate t(3).
7
Let v(b) = -51*b**3 + 16*b**2 - 7*b + 21. Let m(i) = -10*i**3 + i**2 + i - 1. Let f(p) = -5*m(p) + v(p). Calculate f(10).
6
Let g(u) be the third derivative of -u**4/24 + 17*u**3/3 + 10*u**2 - 3*u. Let q(w) = -3. Let f(n) = g(n) + 4*q(n). Determine f(9).
13
Let w(p) = 4*p + 4. Let u = 244 - -115. Let l = -362 + u. Give w(l).
-8
Suppose 13*c = 31*c - 79*c - 427. Let f(t) = -37*t - 281. Calculate f(c).
-22
Suppose 0*v + 22 = 4*v + 5*a, -5*v + 7 = -4*a. Let o(d) = d**2 - 1. Give o(v).
8
Suppose -2*k - 11*c = -2, 4*k - 14 = -4*c - 10. Let f(h) = -55*h - 3. What is f(k)?
-58
Suppose -4*z + 49*o - 11 = 54*o, 0 = 2*z - 3*o - 33. Let k(q) = 17*q - 46. Determine k(z).
56
Let w(v) = 191*v + 2 + v**3 + 10 - 182*v + 11*v**2 - 3*v**2 + 0. Determine w(-8).
-60
Let u = -66 + 59. Let i(g) = 2. Let s(w) be the second derivative of -w**4/12 - 5*w**3/6 + 5*w**2 + 6*w. Let v(f) = 2*i(f) - s(f). Determine v(u).
8
Let k(s) = 2*s**2 - 4*s - 4. Let m(l) = -l**3 + l**2 - l. Let g(u) = -3*u**2 + 7*u - 11. Let a(o) = g(o) - m(o). Let v be a(3). Determine k(v).
12
Let u(s) be the second derivative of -s**4/12 - 41*s**3/6 + 89*s**2/2 + 539*s + 2. Determine u(-43).
3
Let z(y) = 3*y. Let t be 6/(13 + -7) + 423 + 0. Let w = t + -422. What is z(w)?
6
Let s(i) be the first derivative of i**4/4 - 5*i**3/3 + i**2 - 8*i - 10. Let k be s(5). Let z(m) = 8 + 8*m**k + 3 - 20 + m**3. Give z(-8).
-9
Let p(r) = 14*r + 71. Suppose 0*u + 361 - 396 = 7*u. Calculate p(u).
1
Let n(i) be the second derivative of -i**3/3 - 5*i**2/2 - 315407*i. Suppose -2*t - 9 = 3*s, 0*t - 3 = s - 4*t. Calculate n(s).
1
Let n(m) = 2*m**2 - 214*m + 3743. Let z be n(85). Let q(l) be the second derivative of l**5/20 - 5*l**4/12 + 5*l**3/6 - l**2 - l. What is q(z)?
-5
Let c(z) = -2*z**3 - 8*z**2 - 8*z + 3. Let g be c(-2). Let w(l) be the second derivative of -5/6*l**g - 1/12*l**4 + 5/2*l**2 + 33*l + 0. What is w(-5)?
5
Let p(g) = 5*g. Let f = 76 + -118. Suppose -94 = 4*a + 3*x + 78, 86 = -2*a - 5*x. Let s = a - f. What is p(s)?
-5
Let t(i) be the second derivative of -i**5/20 - 7*i**4/12 + i**3/3 - i**2 - 3406*i. Let m be 2/(-4) - 91/14. Determine t(m).
-16
Suppose -2*b + 171*y = 172*y - 20, 0 = -4*b + 3*y + 30. Let f(a) = -a**2 + 7*a - 10. Calculate f(b).
-28
Let p(r) = -4*r + 9*r**2 - 8417569 + 2*r + 8417570. Suppose -4*w - 4 = -8*w. What is p(w)?
8
Let z(o) = o**3 + 591*o**2 + 2*o**3 - 592*o**2. Let y(a) = a**2 - a - 6. Let r be y(0). Let k be (-7)/3 + (-8)/r. Determine z(k).
-4
Suppose 4*f - 30 = -m, -5*m + 131 = -0*f + f. Let x(d) = 45 - d - 24 - m. Give x(-11).
6
Let g(j) be the second derivative of -1/20*j**5 + 2 - 2/3*j**3 - 1/3*j**4 + 14*j - 1/2*j**2. Calculate g(-4).
15
Let t(f) be the third derivative of f**6/60 + 7*f**5/30 - 5*f**4/24 + f**3/6 + 121*f**2 + f - 1. Calculate t(-7).
36
Let n(x) = -29*x - 9. Let b be (-555)/(-75) - (-136)/(-17) - (-24)/(-10). Give n(b).
78
Let y(j) be the third derivative of 0*j + 19*j**2 + 0 - 5/3*j**3 + 5/24*j**4 + 1/60*j**5. Let n be y(-7). Let r(c) = c**3 - 3*c**2 - 5. What is r(n)?
11
Suppose -a = -36 + 35. Let i be a - ((-2 - -21) + (9 - 13)). Let l(b) = -b**2 - 14*b - 10. Determine l(i).
-10
Let c(u) = -19*u + 190. Let o be -4*(-7)/((-28)/(-22)) - 11. What is c(o)?
-19
Let c(w) = -15*w**2 - 40*w + 16. Let g(t) = 7*t**2 + 22*t - 9. Let j(o) = 6*c(o) + 11*g(o). What is j(1)?
-14
Let c(v) be the third derivative of -17*v**4/8 + 305*v**3 + 8749*v**2. Give c(36).
-6
Let b(d) = -9*d - 1. Let a(c) = -c**2 - 35*c + 1762. Let o be a(-63). What is b(o)?
17
Let m(o) = 6 - o**3 + 8*o - 6 - 6 - 2 + 5*o**2. Let w = -120 + 126. Let q be m(w). Let p(v) = v - 7. What is p(q)?
-3
Let q(g) = g**2 - 9*g - 1. Let k be (-4 + ((-68)/3)/(-4))*-3. Let l(a) = -7*a - 29. Let s be l(k). Determine q(s).
-19
Let z = -198 - -225. Let o be z/(-6)*-3*4/(-6). Let p(h) = h**2 + 7*h - 13. Give p(o).
5
Let s be (-9821)/(-244) + 2/(-8). Suppose 3*v = -2*i + s, -7 = 5*v - 3*i - 61. Let k(c) = -c**2 + 11*c + 13. Give k(v).
1
Suppose 7*b + 1107 = 386. Let j = -99 - b. Let a(n) be the third derivative of n**5/60 - n**4/4 + n**3/3 - 3*n**2. Determine a(j).
-6
Let g(t) = -4*t - 83. Suppose 49*z = 48*z + 4*b + 4, -36 = 2*z + 3*b. Calculate g(z).
-35
Let v = -92 + 97. Let f(c) = c**3 - 7*c**2 + c + 54. Determine f(v).
9
Suppose -6*n + 34*n + 112 = 0. Let v(r) = -r + 2. Let o(i) = -i. Let k(p) = n*v(p) + 3*o(p). Determine k(5).
-3
Let v(p) = 4*p**3 - 3*p**2 + 34*p + 36. Let i be v(-1). Let o(l) = -2*l**2 + 5*l + 44. Give o(i).
-31
Let s(j) = 6*j**2 + 6*j + 6. Let q be 240/(-10)
|
{
"pile_set_name": "DM Mathematics"
}
|
u.
3840*g*u + 36*g - 18
What is the derivative of -12628*i**2*k + 640560*i**2 - i*k + k**3 + 4*k**2 wrt k?
-12628*i**2 - i + 3*k**2 + 8*k
What is the second derivative of 82553*t**3 - 2*t**2 + 293*t - 99?
495318*t - 4
Find the second derivative of -a**3*k**2 + 426*a**2*k + 37*a*k**2 + 4*a*k + 2*k**2 + 2*k wrt a.
-6*a*k**2 + 852*k
Find the second derivative of -23*a**3 - a**2*b + 983*a**2 + 2*a*b - 97*a - 2*b + 74 wrt a.
-138*a - 2*b + 1966
Find the third derivative of 1262540*d**3*g**2 - 2*d**2*g + d**2 + d*g**2 - 444*d - 247*g wrt d.
7575240*g**2
Find the second derivative of -7575*s**3*z**2 + 7*s*z**2 + 2577*s*z wrt s.
-45450*s*z**2
Find the third derivative of -2*f**3*o*t - 153*f**3*t*v**3 + f**3*t*v**2 - 4*f**3 - 2*f**2*o*v**2 + 5*f*o*t*v**3 + f*t*v - 2*f*v**3 + 37*v**2 wrt v.
-918*f**3*t + 30*f*o*t - 12*f
What is the second derivative of -167*f**2*p**2 - 3*f**2*p + 2735*f**2 + 47*p**3 wrt p?
-334*f**2 + 282*p
What is the first derivative of -171760*l*v**2 + 433*v**2 + 52*v wrt l?
-171760*v**2
Find the third derivative of -n**4*v**2 + 444404*n**3*v**2 + n**2*v**2 - 3*n**2*v + 15*n**2 + 26*n + 6*v**2 wrt n.
-24*n*v**2 + 2666424*v**2
Find the third derivative of 102*r**4 - 2489*r**3 - 199438*r**2 - 6*r - 2.
2448*r - 14934
Differentiate 228*k**2*z**2 - 5*k**2*z - 189130*k**2 + z**2 - 12*z wrt z.
456*k**2*z - 5*k**2 + 2*z - 12
Find the third derivative of 6*w**4 - 7627*w**3 - 18591*w**2.
144*w - 45762
Find the third derivative of 118763*y**3 + 2*y**2 - 9*y - 12589 wrt y.
712578
What is the second derivative of -9*f**4 + 41035*f**2 + 1379586*f wrt f?
-108*f**2 + 82070
Find the third derivative of -8*b**4 - 11597*b**3 - 44597*b**2.
-192*b - 69582
What is the first derivative of 1712674*q + 505730 wrt q?
1712674
Find the third derivative of -26698*x**4 - 7*x**3 - 855050*x**2 wrt x.
-640752*x - 42
Find the second derivative of -4919*a**2*c**3 + 2*a**2*c**2 + a**2 - 7*a*c**2 - 8*a*c + a - 70*c**3 wrt a.
-9838*c**3 + 4*c**2 + 2
What is the second derivative of -2025229*k**4 - k**2 + 246*k - 825 wrt k?
-24302748*k**2 - 2
What is the first derivative of -2*l*p**2 + 86831*l*p*v - 289467*p**2*v + p**2 wrt l?
-2*p**2 + 86831*p*v
What is the third derivative of -148066*d**6 - d**3 - 38*d**2 + 285?
-17767920*d**3 - 6
What is the second derivative of 488*o**3 + 19*o**2 - 112*o + 111?
2928*o + 38
What is the first derivative of -1506*g**2*q**3 + 3*g**2 + g*q**3 + 22*g - 152*q**3 - 7*q**2 wrt g?
-3012*g*q**3 + 6*g + q**3 + 22
What is the third derivative of 3*i**6 - 320*i**5 - 2*i**3 + 3*i**2 + 8075 wrt i?
360*i**3 - 19200*i**2 - 12
Differentiate 3203*c**2 - 2*c - 34693 wrt c.
6406*c - 2
Find the third derivative of 4*m**3*w**3 + 5997*m**3*w**2 + m**3*w - 188285*m**2*w**3 - 6*m**2*w**2 + 3*m wrt w.
24*m**3 - 1129710*m**2
What is the third derivative of -343443*r**4 + 132882*r**2 - 2?
-8242632*r
What is the first derivative of 272*f*l**3 - 45*f - 38329*l**3 wrt f?
272*l**3 - 45
What is the second derivative of -26*g**4 - 851*g**3 - 1106*g + 27 wrt g?
-312*g**2 - 5106*g
What is the third derivative of 15*p**5 + 23*p**4 - 143*p**3 + 2*p**2 - 87907*p?
900*p**2 + 552*p - 858
Find the second derivative of -421800*a*i**2*w**2 + a*i*w + 4*a*w - i**2*w - 5889*i**2 - 2 wrt w.
-843600*a*i**2
What is the second derivative of 98*o*q*u**2 - 49*o*q - 926*o - 4922*u**5 - u wrt u?
196*o*q - 98440*u**3
Find the third derivative of 132*x**5 + 34*x**3 + 55*x**2 + 4*x + 1 wrt x.
7920*x**2 + 204
Find the second derivative of 120829*b**4 - 91204*b wrt b.
1449948*b**2
Find the first derivative of 35*l**4 - 25*l**3*r**3 - 2*r**3 + 21575*r**2 wrt l.
140*l**3 - 75*l**2*r**3
Differentiate 75119*g*s**3 + 87011*g wrt s.
225357*g*s**2
What is the second derivative of 3411283*v**5 - 5114769*v wrt v?
68225660*v**3
What is the third derivative of -6*k**2*l**4 - 18*k**2*l**2 + 58*k**2*l - 8985*k*l**4 + 4*l**2 wrt l?
-144*k**2*l - 215640*k*l
Find the first derivative of 3496*n**3*p**4 - 20*n**3*p**3 - 2*n**3 + 245566*n**2 wrt p.
13984*n**3*p**3 - 60*n**3*p**2
What is the third derivative of c**5 - 450537*c**3 - 39552*c**2 + 11*c wrt c?
60*c**2 - 2703222
What is the second derivative of 9827*f**3*m**2*n + 174*f**3*m + f*m**2 + 77*f*n + 9*m**3*n - m*n wrt m?
19654*f**3*n + 2*f + 54*m*n
Find the second derivative of 203220*c**4 - 76540*c wrt c.
2438640*c**2
What is the second derivative of -33*c*q**2 + 2*c*q*w**4 - 3*c*q - 32*c*w**2 + 303*q**2*w**2 + q**2*w + 44*w wrt w?
24*c*q*w**2 - 64*c + 606*q**2
Differentiate 17*j*l*t**2 + 24566*j - 9454*l*t**3 - 2*t**3 wrt l.
17*j*t**2 - 9454*t**3
What is the first derivative of 58139*c**2 - 15*c + 6339514 wrt c?
116278*c - 15
Differentiate -292354*r**2 - 2518 with respect to r.
-584708*r
Find the third derivative of -529*l**4 - 7*l**3 + 607*l**2 + 2.
-12696*l - 42
Find the first derivative of -10*v**3 + 153*v**2 - 3*v - 20810 wrt v.
-30*v**2 + 306*v - 3
What is the third derivative of 1852*u**5 + 8*u**3 - 54526*u**2 wrt u?
111120*u**2 + 48
Differentiate 15*c**4*x**3 + 340*c**4*x**2 - 822*x**3 - 13*x**2 + 2*x with respect to c.
60*c**3*x**3 + 1360*c**3*x**2
What is the third derivative of 649146*t**4 + 544935*t**2 wrt t?
15579504*t
What is the third derivative of -617*a*w**3 + 3*a*w**2 - 10*a*w + 10*a - 1252*w**3 + 67*w**2 - 8 wrt w?
-3702*a - 7512
What is the third derivative of -12*p*r**4 + 3*p*r + p - 10*r**4 + 255*r**3 - 2*r**2 - r - 10375 wrt r?
-288*p*r - 240*r + 1530
What is the third derivative of -6264*u**3 - 1639*u**2 + 2*u wrt u?
-37584
What is the third derivative of 137939*u**3 + 221928*u**2?
827634
Find the third derivative of -3061448*g**5 + 51542*g**2 + 4*g.
-183686880*g**2
Find the third derivative of 273105*n**3 - 277*n**2 - 2*n - 44.
1638630
Find the third derivative of -24*d**3*l**3 - 45*d**3*l**2 - 23*d**3 - 2*d**2*l**3 - 2*d**2*l + 54*d - 77*l wrt d.
-144*l**3 - 270*l**2 - 138
Find the second derivative of 326437*h**3 - 96272*h.
1958622*h
Differentiate c**2*o*y - 59179*c*d*o + 2*d*o*y - 207*d*o - 2*d*y + 23*d - 3*y with respect to c.
2*c*o*y - 59179*d*o
What is the derivative of -31561*f - 1084?
-31561
What is the third derivative of -30135*d**5 - 131*d**2 + 90*d - 1?
-1808100*d**2
What is the first derivative of -7*o**3 + 14*o**2 - 46*o + 11395?
-21*o**2 + 28*o - 46
Differentiate 303*l*n**3*p + 323*l*n**2*p**2 + 9*l - 12*n**3 - 135*n wrt p.
303*l*n**3 + 646*l*n**2*p
Find the third derivative of 12*j**2*m*r**3 + j**2*m*r**2 + 7714*j**2*m - j*m*n*r**2 + 2*j*m*r**2 - 2*j*n*r**3 - 3*j*n*r - 147*m*r**3 wrt r.
72*j**2*m - 12*j*n - 882*m
What is the third derivative of 56595*g**3*n*s**2 - g**2*n*s + 2*g**2*s**2 - 428*g*n*s**2 + 4*g*n*s + n*s**2 wrt g?
339570*n*s**2
What is the second derivative of 38136*m**2 + 2913*m - 4?
76272
What is the second derivative of -5*l**3*y**2 - 9*l**3*y + 3*l**2*y - l*y**2 - 10238*y**2 + 8 wrt y?
-10*l**3 - 2*l - 20476
What is the third derivative of -2763*c**6 - 7*c**4 - 8253*c**2 wrt c?
-331560*c**3 - 168*c
What is the second derivative of -4368779*k**3 - k - 483214 wrt k?
-26212674*k
Find the first derivative of 83*s**4 + 3*s**3 + 1171*s**2 - 6335727.
332*s**3 + 9*s**2 + 2342*s
Find the first derivative of c*f**4 - 107317*c*f**3 - 6*c - 264 wrt f.
4*c*f**3 - 321951*c*f**2
Differentiate -4*b**4*k**3 - 15468*b**4*k - 14*k**3 + 1505 wrt b.
-16*b**3*k**3 - 61872*b**3*k
What is the second derivative of -14*d**3*i**2 + d**3*i + 34*d**2*i**2 - 5*d*i**2 + 7474*d*i wrt i?
-28*d**3 + 68*d**2 - 10*d
Find the second derivative of -2*a**4*u**2 - 286709*a**4*u + a*u**2 + 28*a*u + 6*u**2 + 9*u - 2 wrt a.
-24*a**2*u**2 - 3440508*a**2*u
What is the first derivative of -5899*c*m**2 - 92*c + 2*m**4 - 11*m + 3941 wrt m?
-11798*c*m + 8*m**3 - 11
Find the first derivative of -45272*p**2 - 28477.
-90544*p
Find the third derivative of -797851*d**4 - 71232*d**2 + 4*d.
-19148424*d
Differentiate -9*f**4 - 1154*f**3 + 94382 with respect to f.
-36*f**3 - 3462*f**2
What is the third derivative of b**3*q**3 - 2*b**3*q - 23*b*q**4 - 18*b*q**2 - 2*b*q - 4*q**4 + q**3 - 80*q**2 wrt q?
6*b**3 - 552*b*q - 96*q + 6
Find the second derivative of 83968*i**5 - i**4 - 100*i - 314.
1679360*i**3 - 12*i**2
Find the third derivative of -138*n**6 - 382*n**5 - 215185*n**2.
-16560*n**3 - 22920*n**2
What is the third derivative of -744259*m**3 + 55513
|
{
"pile_set_name": "DM Mathematics"
}
|
6
Suppose -4*o = -4*f - 1489146 - 356514, 1845645 = -4*f + o. Round f to the nearest one hundred thousand.
-500000
Let c = 16 + 562. Let v = c - 577.999999681. What is v rounded to 7 dps?
0.0000003
Let d = -394 + 394. Suppose 0 = -5*a - 5*u + 4820005, -u + 7 - 6 = d. Round a to the nearest 100000.
1000000
Suppose 4*h + 4*h = 592. Let l = -72 + h. Suppose 5*a = l*a + 2*d + 159, 0 = -5*a - 5*d + 240. What is a rounded to the nearest 10?
50
Let m be (-1495)/(((-228)/(-1320))/19). Round m to the nearest one thousand.
-164000
Let n = -201.66 - -205. Let z = n - 3.33377. Round z to three dps.
0.006
Let c = 4.05 + -0.05. Let q = -5.3 + c. Let o = -7.8 + q. Round o to 0 dps.
-9
Let p = 11.026 - 11.02846. What is p rounded to 1 dp?
0
Let b = -38106366 - -38106375.1999055. Let r = -9.2 + b. Round r to six decimal places.
-0.000095
Let b = -13.06343197 + 13.0645. Round b to 4 decimal places.
0.0011
Let s = -515.4 + 530.272. What is s rounded to the nearest integer?
15
Let d = 19293627535 - 19293610307.036022. Let h = d + -17228. Let q = h + 0.036. Round q to 5 decimal places.
-0.00002
Suppose 0*c - 13 = c. Let x = c - -15. Suppose -13320000 = -x*m - 7*m. Round m to the nearest 100000.
1500000
Let t = -3797.00010601 - -3797. Round t to six decimal places.
-0.000106
Let l = 3.16 + 10.84. Let z = l + -13.9999839. What is z rounded to 5 dps?
0.00002
Let t = -7489288 + 7486062.743. Let m = t - -3154.25935. Let p = m + 71. Round p to three decimal places.
0.002
Let i = -5907.076 - -5865. What is i rounded to 1 decimal place?
-42.1
Let m(h) = 8631023*h - 23. Let c be m(1). Round c to the nearest one hundred thousand.
8600000
Suppose 5*i + l - 30 = 3*l, -2*l + 50 = 5*i. Let p be (-21895979)/56 - 3/i. Round p to the nearest 10000.
-390000
Let c = -14.68 - 0.32. Let m = c + 14.99. Let r = m - 0.25. What is r rounded to 1 decimal place?
-0.3
Let o = -0.2189 - -0.218899757. What is o rounded to seven decimal places?
-0.0000002
Suppose -14*c = -29 - 13. Let l be (0 - c) + 2 + (1 - -61). Round l to the nearest ten.
60
Let i = -2.1062 - -1.83978. What is i rounded to three decimal places?
-0.266
Let h = 109 - 216. Let p = h + 107.056. Let j = p - 0.05557. What is j rounded to three dps?
0
Let g = 114.3 + -114. Let s = 0.65 + g. What is s rounded to 1 decimal place?
1
Let y = 0.134 + -4.254. Let p = 4.11969 + y. What is p rounded to four decimal places?
-0.0003
Let i = -0.664 + 0.6533. What is i rounded to 3 decimal places?
-0.011
Let f = -279 - -197. Let u = f + 37. Let m = u - -46.9. What is m rounded to 1 decimal place?
1.9
Let q = 70.65 + -0.65. Let c = -5824130.00026 + 5824060. Let n = c + q. Round n to four decimal places.
-0.0003
Let k = -28.972 + -0.028. Let n = -27.6394 - 0.6906. Let b = k - n. What is b rounded to one dp?
-0.7
Suppose 0 = 409*q - 407*q + 2, 4*t = q - 21999999. What is t rounded to the nearest 1000000?
-6000000
Suppose -v - 4*p - 32 - 15 = 0, 5*v = -p - 197. Let w be v*(910/6 - -5). What is w rounded to the nearest 1000?
-6000
Let r = -642313.606 - -640705. Let g = 1374.6314 + r. Let w = 234 + g. Round w to 3 dps.
0.025
Let d = -11970454748 - -11970454039.0001237. Let c = -709 - d. Round c to six dps.
-0.000124
Let m be -18*(-5)/120 - (685716009/12 - 0). What is m rounded to the nearest one hundred thousand?
-57100000
Let g = -6 - -15.7. Let h = g - 9.686. Let r = h - 0.249. Round r to two decimal places.
-0.24
Let f be (117 - -138)*(-1 - -2 - (-20344)/40). What is f rounded to the nearest one thousand?
130000
Let q = -3273.3 - -1652.7. What is q rounded to the nearest ten?
-1620
Let g = 7054.000002271 - 7054. Round g to seven dps.
0.0000023
Let a = -1.307 + 1.308807. What is a rounded to four dps?
0.0018
Let c = -13718 - -13718.00076. Round c to four decimal places.
0.0008
Let x = -14586 + 7336. Round x to the nearest 100000.
0
Let b = -95.7 - -91. Let a = b + -11.3. Let c = a + 16.002. What is c rounded to 3 dps?
0.002
Let y = -932.62 + 1071. What is y rounded to the nearest 10?
140
Suppose -h - 2*o - 5310 = 0, 4*h + 21195 = -0*h + o. Round h to the nearest 100.
-5300
Let o = 24543228.00012 + -24543830. Let n = o + 602. Round n to three dps.
0
Let b = 69.553 + -29.59. Let k = b + 0.037. Let y = 40.000071 - k. Round y to 5 dps.
0.00007
Let i(y) = 6*y - 17 - 13*y + 27*y**2 - 7*y**2 + 55*y**2. Let w be i(-3). Suppose w = 4*d + 3087. Round d to the nearest one hundred.
-600
Let y = -58119.64469 + 58120. What is y rounded to three dps?
0.355
Let h = -624.71558 - 0.10442. Let t = h + 618. What is t rounded to 0 decimal places?
-7
Let r = -14.83 - -7.76. Let l = 5.88 - r. Let u = l + 0.85. What is u rounded to the nearest integer?
14
Let m = 3 - 7. Let x be 21/m + -2 + 9/4. Let j(t) = -12*t + 28. Let r be j(x). What is r rounded to the nearest ten?
90
Let u = -403.90020654 + 403.9. Round u to six dps.
-0.000207
Let x = -11384.915 + 11346. Round x to one decimal place.
-38.9
Suppose -10*n - 9754923 = -63596923. What is n rounded to the nearest one hundred thousand?
5400000
Let b = 3.397 - -0.857. What is b rounded to 1 decimal place?
4.3
Let v = 104006.5 - -9250.5. Let x = v + -113319.953. Let n = -63 - x. What is n rounded to two dps?
-0.05
Let k = 96.9373 + -95.96. Let a = k - 1.587732. Let j = a - -0.61. Round j to 5 dps.
-0.00043
Let l = 881046046.97943 - 881041945. Let i = -4102 + l. What is i rounded to 3 dps?
-0.021
Let n = 17.02241 - 17.03. What is n rounded to three decimal places?
-0.008
Suppose c + 140 = 6*c - 4*t, 2*c - 56 = -3*t. Suppose 4*v - 15 = 5*z + 25, 4*v - 2*z - c = 0. Suppose -v*k = 273 + 27. What is k rounded to the nearest 10?
-60
Let v = 11832.54 - 11938. Let r = v + 116. What is r rounded to the nearest integer?
11
Let d = 95 - 63. Let g = 34 - d. Suppose g*c - 164003 = c - l, 3*c - 3*l - 491991 = 0. What is c rounded to the nearest ten thousand?
160000
Let y = -48 - -198. Let a be 880/((3/y)/(-3 - -7)). Round a to the nearest ten thousand.
180000
Let i = -1719 + 1721.2473. What is i rounded to 2 decimal places?
2.25
Suppose -39*z + 70 = -34*z. Suppose 0*o = -o, -i + 2*o = -z. Suppose -11*s + 90 = -i*s. Round s to the nearest one hundred.
0
Let d = 102.96 + -108. Let p = d + 4. Let s = p + 1.033. What is s rounded to 2 decimal places?
-0.01
Let y(j) be the third derivative of 18281*j**5/60 - 13*j**4/24 + 20*j**3/3 + j**2 + 6*j. Let i be y(5). What is i rounded to the nearest one hundred thousand?
500000
Let l = 1.8 + 57.2. Let o = 1053.2381 - 1112.24. Let f = l + o. Round f to three decimal places.
-0.002
Let a(o) = -307*o**3 - 3*o**2 + 27*o - 287. Let y be a(9). Round y to the nearest 10000.
-220000
Let f = -5.5 + 5.406. Let j = 183084.39399957 + -183084.3. Let r = f + j. What is r rounded to 7 dps?
-0.0000004
Let j = 8081 - 8081.00012122. What is j rounded to 5 decimal places?
-0.00012
Let v = -2473 - -2498.06. Let b = v + -26. What is b rounded to two dps?
-0.94
Let t = -234.9996364 + 235. Round t to five decimal places.
0.00036
Let l = -652 - -652.8674. Let c = l + 146.3026. Let d = -148 + c. Round d to 1 dp.
-0.8
Let g = 0.0915 + -0.0455. Let i = -14 - -14.0525. Let y = g - i. Round y to three decimal places.
-0.007
Let z = 196 + 778. Let s = -54455 + 55422.33. Let p = s - z. What is p rounded to the nearest integer?
-7
Suppose 0 = 4*h - 466028 - 11936. Suppose -h - 125009 = -3*m. Round m to the nearest 10000.
80000
Let t = -739 + 738.999999343. What is t rounded to 6 decimal places?
-0.000001
Let c = 1295.2 + -1153. Let x = c - 90. Let n = 69 - x. Round n to zero decimal places.
17
Let k(a) = 2170*a**3 + 2*a**2 + 7*a + 1. Let s be k(-5). Suppose 7*p - 718824 - 339814 = 0. Let l = p + s. What is l rounded to the nearest 100000?
-100000
Let u = 40.389241 + -115.3891. Let z = u - -75. What is z rounded to five decimal places?
0.00014
Let c = -22.78 + 27.1. Let w = -142.82 + c. Round w to the nearest ten.
-140
Let v(n) = -7344*n**3 + 9*n**2 - 86*n - 67. Let i be v(17). What is i rounded to the nearest one million?
-36000000
Let x(q) = -16*q**3 - 25*q**2 + 300*q - 117. Let i be x(12). Round i to the nearest ten thousand.
-30000
Let j = 0.097491 - -2.196869. Let s = j - 2.29. Round s to 3 decimal places.
0.004
Let z = 5143.8316 + 1492433573.1684. Let g = 1492438677.00000093 - z. Let s = g - -40. What is s rounded to sev
|
{
"pile_set_name": "DM Mathematics"
}
|
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