t is the remainder when 31 is divided by (3/z)/(4/32)?
1
Suppose -2*z = d - 2540, 4*z - 4380 - 694 = -3*d. Calculate the remainder when z is divided by 116.
113
Let y(x) = -2*x**3 + 35*x**2 + 24*x + 87. What is the remainder when y(18) is divided by 41?
31
Let t = -23 - -31. Suppose 0 = -t*m + 12*m + 808. Let r = 340 + m. What is the remainder when r is divided by 47?
44
Suppose 4*z - 310 = -118. Calculate the remainder when -25 + 257 - (-1 - 6 - -5) is divided by z.
42
Suppose 256*g = 261*g + 2*b - 196, 2*g - 5*b = 32. What is the remainder when g is divided by 3?
0
Let a(q) = 27*q - 1985. What is the remainder when 506 is divided by a(80)?
156
Let i(u) = 45*u**2 + u. Let f be 0 - (27/(-36) + 2/(-8)). What is the remainder when i(f) is divided by 24?
22
Suppose 0 = -118*q + 79*q - 163671 + 433824. What is the remainder when q is divided by 70?
67
Let a(t) = -t**2 + 15*t + 1. Let i(n) = 13*n**2 + 4*n. What is the remainder when a(13) is divided by i(1)?
10
Suppose 6 = 3*h - 3*t, -9*t + 44 = 4*h - 4*t. What is the remainder when (-3 + 0 + (-351)/h)*-2 is divided by 13?
6
Suppose -c + 6*c - 2 = -2*n, 4*n - 3*c = 4. Suppose -3*r - 4*o = 2*r - 400, -4*o - 20 = 0. Calculate the remainder when r is divided by ((-116)/8)/(((-4)/8)/n).
26
Suppose -27*u + 6821 = 3860 - 7380. Calculate the remainder when 784 is divided by u.
18
Let o = -848 + 1190. Calculate the remainder when 31 is divided by -55*(-1)/9 - 38/o.
1
Let g = -3177 + 4082. Calculate the remainder when g is divided by 14.
9
Suppose 3*w - 410 = -3*n + 448, 0 = -n - 3*w + 280. Let z = -145 + 203. What is the remainder when n is divided by z?
57
Suppose 1 = -j - 1. Let i(x) = 15*x**2 + 2*x + 3. Suppose 3*q - k = -423 + 451, -2*q - 5*k + 64 = 0. What is the remainder when i(j) is divided by q?
11
Suppose 6*h + 19*h = -10*h + 27265. Calculate the remainder when h is divided by 132.
119
Let v(x) = -6*x - 16. Let a(n) = -n**3 + 5*n**2 - 5*n + 17. Let p be a(5). Let i = -18 - p. What is the remainder when v(i) is divided by 16?
12
Let r = -1444 + 1455. What is the remainder when 977 is divided by r?
9
Suppose -30*v - 8 = -34*v. Suppose -60 = 5*o - 7*o + 5*j, 3*o + v*j - 52 = 0. Suppose -6*n = -n - 270. Calculate the remainder when n is divided by o.
14
Let h = -2973 + 3163. Calculate the remainder when h is divided by 48.
46
Suppose 0 = 5*d + 4*o - 382, -3*o = -d - 2*o + 80. Suppose -66*n + 34*n + 7328 = 0. Calculate the remainder when n is divided by d.
73
Let g = -112 - -114. Suppose -564 = -10*p - g*p. What is the remainder when p is divided by 7?
5
Let a = 6060 + -6057. Let x(i) = -5*i. Let s be x(-3). Suppose -1 = d, -d + s = 4*p - 20. What is the remainder when p is divided by a?
0
Let h(t) = -30*t - 4. Let z = 663 + -458. Calculate the remainder when z is divided by h(-1).
23
Let d be (-21)/3*-71 - 3. Suppose -d = -28*z + 9*z. What is the remainder when 252 is divided by z?
18
Let p(g) = -g**2 + 44*g - 193. Calculate the remainder when 11802 is divided by p(30).
225
Calculate the remainder when 2232 - (13/((-429)/(-36)))/((-68)/(-374)) is divided by 70.
56
Calculate the remainder when 181 is divided by (-63)/(3 - -6) - -188.
0
Let c = -489 + 484. Let y(g) = -2*g**3 - 5*g**2 + 9*g - 17. What is the remainder when 76 is divided by y(c)?
13
Calculate the remainder when (-2)/((-4)/14 + 17172/120645*2) is divided by 1908.
7
Suppose 0 = 3*r - g + 17, -2*g + 3 = -5*g. Let s be 3 + r + 0 + 5. Suppose 3*l - s*w + 50 = 4*l, l = -w + 47. What is the remainder when 87 is divided by l?
43
Suppose -r = 2*v - 252, r + 762 = 4*r + 3*v. Suppose r*y - 250*y - 420 = 0. What is the remainder when 136 is divided by y?
66
Let c(l) = l**3 + 7*l**2 + 7. Let t be c(-7). Let z = 2457 - 2380. Suppose -z = t*y - 371. What is the remainder when y is divided by 24?
18
Suppose 0 = 5*t + 731 - 776. What is the remainder when 443 is divided by t?
2
Suppose 0 = -3*f + 3*s - 150, -2*f - 4*s - 92 - 2 = 0. Let c = f - -82. What is the remainder when 62 is divided by c?
29
Let q = -8707 + 8731. Calculate the remainder when 332 is divided by q.
20
Let o = 88 - 83. Suppose -4*j + 20 = 5*p - p, -o*j = -5*p - 25. Suppose -135 = -j*w + 5*u, w = 4*u - 7*u + 23. Calculate the remainder when 50 is divided by w.
24
Suppose -z = -5*z + 2*q + 6, -28 = -2*z - 4*q. Suppose z*v = v. Suppose v = r - 29 - 9. Calculate the remainder when r is divided by 5.
3
Let v = -23 - -31. Suppose -5*l + 14 = -11. Suppose -m - l*q + 22 = -q, 4*m - 5*q - 67 = 0. What is the remainder when m is divided by v?
2
Suppose 5*j = 4*j + 5*g + 357, 2*j - 3*g - 749 = 0. Let z = j + -336. Calculate the remainder when 177 is divided by z.
39
Suppose 2*p = 3*t + 620, 299 = p + 1386*t - 1382*t. What is the remainder when 1092 is divided by p?
171
Suppose -9*b = -39 - 384. Suppose 5*c = -4*c + 108. What is the remainder when (-5 - (-4 + 3)) + 2 + b is divided by c?
9
Suppose 10*n + n = -33. Calculate the remainder when ((-789)/36 - 3/4)*n is divided by (-1651)/(-91) - 1/7.
14
Suppose 4*a - 170 = -2*k + 7*k, 4*k = a - 48. Calculate the remainder when 5917 is divided by a.
37
Let a = 102 + -44. Let q(r) be the second derivative of -3*r**3/2 + 11*r**2/2 + 42*r. What is the remainder when a is divided by q(-1)?
18
Let a be -284*(-2 - -11*3/12). Let d = 222 + a. Calculate the remainder when 35 is divided by d.
8
Let y be 12/(342/120 + -3). Calculate the remainder when 42 + -2 + y/16 is divided by 21.
14
Suppose 58*r - 59*r = -9. Suppose -6*s + 214 = -v - s, -2*v + 2*s = 412. What is the remainder when (-6)/(-15) + v/(-15) is divided by r?
5
Let b = 35332 + -35292. What is the remainder when 16679 is divided by b?
39
Suppose 85 = -2*s - 97. Let x = s + 142. Calculate the remainder when 202 is divided by x.
49
Suppose 4*t = 6*t + 120. Suppose -d - 3 = 0, -103*b + 104*b = 4*d - 1. Let z = b - t. What is the remainder when z is divided by 16?
15
Suppose 0 = -4*z + 3*k + 75 - 24, 3*z + 3*k - 54 = 0. Calculate the remainder when 140 is divided by (-3)/z + 728/40.
14
Suppose -a = -3*a + 8. Suppose -2*o + 35*y + 74 = 40*y, -2*o = -5*y - 154. What is the remainder when o is divided by (-1)/a - (-122)/8?
12
Suppose -55165 = -43*p - 17583. Suppose 5*y = 2*w - p + 2180, 0 = y + 2*w - 254. What is the remainder when y is divided by 24?
20
Suppose -2*k + k = v - 9, -v = -3*k + 27. Let d be 1/1 + (-11 - -15). Suppose -z = -d*n + 48 + 15, n = -z + 15. What is the remainder when n is divided by k?
4
Let x be (-7)/((0 - -2) + -1). Let j = 8 + x. Calculate the remainder when (-2)/(-6*(2/3)/2) is divided by j.
0
Suppose 52*j - 17*j = 4200. Calculate the remainder when j is divided by 26.
16
Suppose -229*f + 34158 + 249771 = -115676. Calculate the remainder when f is divided by 35.
30
Let v(q) = -q**3 - 14*q**2 - 54*q - 20. What is the remainder when 438 is divided by v(-8)?
18
Suppose 0 = 5*p + 3*i - 562, -19*p + 14*p = -7*i - 572. Calculate the remainder when 502 is divided by p.
50
Let f(r) be the first derivative of 11/2*r**2 - 7/3*r**3 + 17 - 5*r - 1/2*r**4. What is the remainder when f(-6) is divided by 22?
21
Let v = -8318 - -9874. What is the remainder when v is divided by 387?
8
Suppose 3*s = 5*k + 1292, -4*k - 750 = -3*s + 541. What is the remainder when s is divided by 153?
123
Let v(y) = 9*y + 509. Calculate the remainder when 4698 is divided by v(-51).
48
Let b(x) = x**3 + x**2 + 5*x - 1. Let u(g) = -5*g**3 - 5*g**2 - 21*g + 6. Let q(v) = -9*b(v) - 2*u(v). What is the remainder when 55 is divided by q(3)?
7
Suppose 6*n + 4*n - 420 - 50 = 0. Let y = 964 - 589. What is the remainder when y is divided by n?
46
Let x be (-6*(-1)/(-8))/((-2)/16). Suppose -w = x*r - 10*r - 44, -77 = -3*w + r. What is the remainder when w is divided by 18?
6
Let i(x) = 2*x**2 - 12*x + 21. Let y be i(13). Let l = -70 + y. What is the remainder when l is divided by 35?
28
Suppose -4*a - 31 + 99 = 0. Let m(f) = 2*f**2 + 3*f + 83. What is the remainder when m(7) is divided by a?
15
Let d = 36277 + -36159. Suppose 53 = -5*z + 138. Calculate the remainder when d is divided by z.
16
Suppose 29*z - 90 = -1625 + 9278. What is the remainder when 859 is divided by z?
58
Let x(q) = -q**3 + 18*q**2 - q + 19. Let p be x(18). Calculate the remainder when (p + (-122)/6)*(-1005)/134 is divided by 21.
19
Suppose 791 = 31*p 