3
Let f(g) be the first derivative of g**4/4 + 17*g**3/3 + 5*g**2 + 27*g - 40. What is the remainder when f(-16) is divided by 63?
60
Suppose 4*y - 506 = 210. Let g = 6696 - 6636. Calculate the remainder when y is divided by g.
59
Let s(u) = u**3 + 11*u**2 - 33*u - 391. Let x be s(-9). Suppose x*z + 725 = 4193. Calculate the remainder when z is divided by 3/(3/34) - -1.
16
Let i = -593 + 603. What is the remainder when 38 is divided by i + 411/27 - 4/18?
13
Let u(g) = -g**3 - 14*g**2 - g - 28. Let h be u(-14). Let y be (-21)/14 - h/(-4). Calculate the remainder when -33*(-3 - y)*1/(-2) is divided by 7.
5
Suppose 0 = -z + 46 + 50. Suppose s = 5*s - z. What is the remainder when 43 - -1 - ((-165)/(-15) + -12) is divided by s?
21
Let z be -10*6/(-4)*(-4)/(-6). Suppose 28 = -3*i + z*i. Suppose 5*t - 217 = -i*r, -5*r = -2*t - 2*r + 73. Calculate the remainder when t is divided by 10.
1
Suppose -20*i + 1360 = 14*i. Let x = -663 + 1062. What is the remainder when x is divided by i?
39
Let f = 1345 - 454. Let z = 902 - f. What is the remainder when 22 is divided by z?
0
Let p = -33392 + 33581. What is the remainder when 1253 is divided by p?
119
Suppose h + 3*h = 2*q - 1462, -5*h - q - 1838 = 0. Let i = 384 + h. Calculate the remainder when 47 is divided by i.
13
Let w(p) = p + 8. Let z = -24 - -28. Let c(i) = i**3 - 10*i**2 - 7*i + 2. Calculate the remainder when c(11) is divided by w(z).
10
Let d(k) = -3*k**3 - 4*k**2 - 8*k - 13. What is the remainder when 71 is divided by d(-2)?
5
Suppose 0*u - 28 = 2*f + 2*u, 10 = -3*f + 5*u. Calculate the remainder when 37 is divided by (f/30)/(1 - (-31)/(-30)).
7
Suppose 0 = 4*y - 136. Suppose 0*s + 5*l = -s + 114, 674 = 5*s - l. Suppose 3*t - t - s = 0. What is the remainder when t is divided by y?
33
Let k(l) = -4*l**2 - 12*l. Let z be k(-3). Suppose 3*x - 39 = -z*x. What is the remainder when x is divided by 5?
3
Suppose -2*a = -3*x + 432, 3*x + x - 4*a = 576. Suppose -54 = -2*y + 4*k - 2*k, -2*y + 4*k = -50. Calculate the remainder when x is divided by y.
28
Let m(i) = -4*i**2 + 13*i - 55. Let x be m(6). Let g = 122 + x. What is the remainder when 7 is divided by g?
0
Let c = 93 + -61. Suppose 5*q + 2*y = 55, -y + 2 = -3. Suppose -q*m + 132 = 3*m. What is the remainder when c is divided by m?
10
Let t(p) = 6*p + 3. Suppose -2*w - 4*h = 6, -21 = -2*w + 3*h - 6. Calculate the remainder when t(w) is divided by 36/7 + (1156/119)/(-68).
1
What is the remainder when 2983 is divided by ((-2103080)/(-231))/70 - (-4)/(-66)?
123
Let h = -641 + 1043. Suppose -14*y - h = -1214. Let s(x) = -x**3 - 5*x**2 + 2*x + 6. What is the remainder when y is divided by s(-6)?
28
Suppose -5*o = -2*y + 754, 3*o - 344 = 176*y - 177*y. Calculate the remainder when 1152 is divided by y.
66
Let i(x) = -2*x**3 - 12*x**2 - 11*x - 59. Calculate the remainder when i(-6) is divided by 3.
1
Let r(f) = 7*f**2 - 11*f + 2. Suppose 0*k + 10*k - 40 = 0. Suppose 2*y = 7*y - 90. What is the remainder when r(k) is divided by y?
16
Let m(x) = -24*x - 2. Let t be m(-2). Let q = t - 27. Calculate the remainder when (-2)/6 + (-2240)/(-60) is divided by q.
18
Let q(n) = 36*n**2 - 27*n + 103. Calculate the remainder when q(3) is divided by 49.
3
Let l be 0*(22 + -19 + 1*-2). Suppose 13*y - 304 - 1282 = l. Calculate the remainder when y is divided by 36.
14
Let b(f) = 4*f**2 + 3*f + 3. Let v(t) = -15*t**2 - 40*t - 20. Let k be v(-5). What is the remainder when (-8 - k/(-9))/(4/(-12)) is divided by b(-2)?
11
Let n(j) = -j**2 - 73*j + 1359. Calculate the remainder when 96 is divided by n(15).
18
Suppose 3*x + 0*x - 714 = 0. Suppose -109*w - 2512 + 4884 = -2860. What is the remainder when x is divided by w?
46
Let l(v) = -87*v + 707. Calculate the remainder when 3535 is divided by l(8).
4
Let w be 1/(6/(26 + 4)). Suppose 190 = w*l - 270. What is the remainder when l is divided by 16?
12
Let t(o) = -o**2 - 35*o + 865. Calculate the remainder when t(-44) is divided by 110.
29
What is the remainder when ((-20)/(-160)*-4)/(1/(-8002)) is divided by 22?
19
Let x be (0 - (-24)/64) + (-1334)/16. Let m = x + 93. Suppose -2*t = -3*b + 47, 2*b = -2*b + 4*t + 60. What is the remainder when b is divided by m?
7
Let p = 197 + -197. Suppose f + p*c - c = 160, f - 4*c = 166. What is the remainder when f is divided by 67?
24
Suppose 5*m - 2*z - 433 = 350, 5*z - 445 = -3*m. What is the remainder when m is divided by 65?
25
Let d be 226/3 + (-4)/(-6). Let w = d + -36. Let m(i) = i**2 - 2538*i + 15195. What is the remainder when w is divided by m(6)?
1
Suppose 18*x - 24*x + 150 = 0. What is the remainder when (13824/(-60))/(-8)*5/2 is divided by x?
22
Let f = -21 - 26. Let o be (f/(-47))/(0 - (-1)/2). Suppose 3*t - 5*t = -x - 97, o*t - 87 = -x. Calculate the remainder when 135 is divided by t.
43
Let o(f) = -f + 13. Let t be o(-38). Suppose -t*v + 365 + 1216 = 0. What is the remainder when 305 is divided by v?
26
Let r be 2/(((-2)/6)/(234/(-108))). Suppose 10*i - 138 = -r*i. Calculate the remainder when 387 is divided by i.
3
Suppose -78 + 975 = 13*u. Calculate the remainder when 76 is divided by u.
7
Let q(f) = 11*f**2 - 289*f + 82. What is the remainder when q(27) is divided by 138?
22
What is the remainder when (-3)/(-7) - (-11505)/105 is divided by -5*((-4104)/(-60))/(-9)?
34
Let h = -5145 - -5347. What is the remainder when 920 is divided by h?
112
Suppose -29 = -5*q + 4*x, q - 4*x = 2*q - 1. Suppose 31*g - 28*g = 5*n + 90, 0 = -3*n - 9. What is the remainder when g is divided by q?
0
What is the remainder when 94 is divided by (-162)/(-9) - (1 + 9 + -6)?
10
Suppose 0 = -5*r + 2*r + 27. Let n be r/(-2)*22/(-33). Calculate the remainder when 154 + -2 + n + (-2 - -2) is divided by 39.
38
Let z = 4 - -1. Suppose z*t - 4 = 2*t + 2*i, 5 = 3*t - i. Suppose -3*h + j = -37, -19 - 14 = -t*h - j. Calculate the remainder when 41 is divided by h.
13
Suppose 119 = 4*d + i, d + 2*i - 10 - 25 = 0. Let l = d - 6. Let k(u) = -218*u + 5974. Calculate the remainder when k(27) is divided by l.
19
What is the remainder when (-218*1)/(-2)*1 is divided by 90 + -7*(-2070)/(-315)?
21
Let i = 2602 - 2365. What is the remainder when 255 is divided by i?
18
Let v(z) = z + 3. Let u be v(-7). Calculate the remainder when 131 is divided by 19/3*(-1 - u).
17
Suppose -1090 = 18*j - 3754. Suppose -j*q = -144*q - 104. Calculate the remainder when 100 is divided by q.
22
Let i(u) = 2*u**2 - 128*u - 328. Calculate the remainder when i(69) is divided by 181.
0
Suppose 2*g = 8*v - 4*v - 50, 5*v = 3*g + 64. Let y = -26 - -18. What is the remainder when (-58)/y*52/13 is divided by v?
7
Suppose -3*b + 147 = 21. Suppose 14*m = b + 28. What is the remainder when (0 - -1*2) + 27 is divided by m?
4
Let r(k) = 2*k - 2 + 10*k - 33*k + 20*k. Let q(l) = -6*l**2 - 2*l + 1. Let h be q(-2). What is the remainder when 252 is divided by r(h)?
14
Suppose -p + 8 = -2*q, p + 3*q = -0*p + 18. Suppose -p*r = -11*r - 194. What is the remainder when r is divided by 65?
64
Let r(m) = -7 - 5*m**3 - 34*m**2 + 30 + 24*m**2 + 4*m**3 + 12 + 2*m. Calculate the remainder when r(-14) is divided by 99.
98
Let m(k) = k**3 - 14*k**2 - k + 12. Let o be m(15). Let x = o - 203. Calculate the remainder when 80 is divided by x.
4
Suppose -d = -u + 14 + 16, -2*d + 48 = 2*u. Let f be -9 + (-822)/(-90) + (-9056)/(-30). Let o = f - 222. Calculate the remainder when o is divided by u.
26
Let j = 1912 - 1405. Calculate the remainder when j is divided by 102.
99
Suppose -3*d - 240 = -d. Let g = -60 - d. Let n = g + -27. What is the remainder when n is divided by 17?
16
Suppose -115 = -5*t + 10. Let g = 494 - 462. Suppose 2*r + 22 = 2*f - 6, -2*f - 2*r = -g. What is the remainder when t is divided by f?
10
Suppose -16 = 4*j, -x + j - 28 = -3*x. Calculate the remainder when x/88 + (-3)/((-165)/2905) is divided by 9.
8
Suppose 102 = 4*i + 2*u, -27*i + 28*i = -5*u + 21. Suppose -29*l = -i*l - 30. Calculate the remainder when 257 is divided by l.
7
Let h be (-3)/3*12 + 9/(-3). Let t = h + 22. What is the remainder when -62*3/6*-1 is divided by t?
3
Let x(b) = -16*b - 9*b - 15 + 2*b**2 + 14. Suppose -7*s = -52 - 46. Calculate the remainder when x(s) is divided by 12.
5
Let n(z) = -z**3 + 8*z**2 - 2*z + 12. Suppose -20 = -8*g + 44. Let x be n(g). Let w(s) = -31*s