 3 = -p. Suppose -4*x + 5*x - 86 = -2*l, p*l + 5*x - 225 = 0. Calculate the remainder when l is divided by 19.
3
Suppose -3*q = 2*o - 168, 32 = 3*o + 3*q - 229. Calculate the remainder when 486 is divided by o.
21
Let r be (-2)/(-8) - 1276/(-16). Suppose -5*s - 120 = -5*i + r, -5*i = 4*s - 155. Calculate the remainder when 39 is divided by 16/(-20)*i/(-2).
11
Suppose 24 = -0*i + i. Let g(l) = l**3 - 3*l**2 - 12*l + 13. Calculate the remainder when g(6) is divided by i.
1
Suppose -255*u = -280*u + 50. Let v be (0 - 0) + 548/2. Suppose 0 = u*z + 2*z + m - v, 5*m + 126 = 2*z. What is the remainder when z is divided by 35?
33
Let d = 2 + -3. What is the remainder when (12/(-9))/(18/(-1053)) is divided by 18/(-12)*d*18?
24
Suppose -30*m + 20*m + 17*m = 490. Calculate the remainder when 768 is divided by m.
68
What is the remainder when (31 + -7668)*(385/49 - 8) is divided by 55?
46
Suppose -2*c - 3*c + 110 = 0. Let x = -18 + c. Calculate the remainder when (18/x)/(-1*1/(-12)) is divided by 14.
12
What is the remainder when 285 is divided by 8/6 + 1 + 3248/84?
39
Suppose 4*j = c + 2*c + 6, -5*c = 4*j + 10. Let y(r) = r + 10. What is the remainder when (-5)/(-15) + ((-2912)/(-12))/13 is divided by y(j)?
9
Let r be (0 + -1)/(11/8206). Let n = r + 757. What is the remainder when 26 is divided by n?
4
Let x(t) = -t**2 + 70*t - 305. Calculate the remainder when 5728 is divided by x(62).
189
Suppose -p + 6 = 0, 4*i - 214*p + 209*p - 422 = 0. What is the remainder when i is divided by 21?
8
Let c(n) = -n**3 + 30*n**2 - 22*n - 127. Suppose -f - 15 = 5*k, f + 3*k + 12 = 3. Suppose 0*t + 5*t - 195 = f. What is the remainder when c(29) is divided by t?
37
Let j = 63 - 47. Suppose 10*v - 490 = 60. What is the remainder when v is divided by j?
7
Let q be (-6 - 343/21)/((-1)/(-27)). Let t = -169 - q. Suppose t = 13*y + y. Calculate the remainder when 120 is divided by y.
27
Calculate the remainder when 347 is divided by (50349/(-24))/(-13) - (-51)/(-136).
25
Suppose -6*t - 14 = -38. Suppose -t*z + 5*z - 271 = 4*p, 271 = z + p. Calculate the remainder when z is divided by 12.
7
Let x(f) = -2*f**3 + 7*f**2 - 9*f + 6. Let h be x(6). Let m be h/8*-2 - 0. Let d = m + -34. What is the remainder when 44 is divided by d?
21
Suppose -3*t = i - 1600, 4*t - 3*i = -2*i + 2138. Let k = t + -367. Calculate the remainder when k is divided by (1 + 0)/(-1) + 29.
27
Suppose 4*h = 2*p - 20, 5*p + 2*h - 5*h = 22. Let v be ((-6)/(-9))/(-4 + 25/6). Suppose v*f - 33 = -9. Calculate the remainder when f is divided by p.
0
Let s be 156/44 + 12/(-22). Suppose 2*f + 160 = s*d - 307, -304 = -2*d + 5*f. Calculate the remainder when d is divided by 40.
37
Let z(h) = 7*h**2 - 2*h - 1. Suppose -200 = -20*t + 40. Suppose -3*j = 2*f - 27, -9*f + j = -t*f + 44. Calculate the remainder when f is divided by z(-1).
7
Suppose 3*t - 26 = t. Suppose 1636*z = 513*z + 172942. What is the remainder when z is divided by t?
11
Let t = 12149 + -4890. What is the remainder when t is divided by 137?
135
Suppose -39*k + 103*k - 13888 = 0. Calculate the remainder when k is divided by 25.
17
Suppose n - 372 + 62 = -u - 4*u, -n = 0. What is the remainder when 81 is divided by u?
19
Let f be 14/4*(-128)/112. Calculate the remainder when (-618)/f*20/30 is divided by 15.
13
Let l be ((-6)/2 - 0)/((-20)/(-100)). Calculate the remainder when 561/12 + 7/(140/l) is divided by 6.
4
Let t(v) be the first derivative of -73*v**2/2 + 3*v + 15. Let w be t(1). What is the remainder when 17 is divided by 9*(w/15)/(-7)?
5
Let h be 4 - (-4 + -4 - -7). Suppose 2*q - 379 = -5*p, -h*q - 3*p - 304 = -1242. What is the remainder when q is divided by 19?
16
Let l be (-3)/((-60)/8) - (-32)/(-5). Let f(y) = -y**3 - 6*y**2 + 6. Let w be f(l). Suppose -10*t + w = -9*t. What is the remainder when 46 is divided by t?
4
Let g(j) = 2*j**3 - 9*j**2 + 7*j - 11. Let l be g(6). Let y = l - 98. Calculate the remainder when 202 is divided by y.
38
Let a = 6209 + -6197. Calculate the remainder when 1967 is divided by a.
11
Let c be 7 + -6 + 74/1. Suppose 23 - c = -2*g. Suppose -l + 3*a = -79, -5*l + 112 = 4*a - 264. Calculate the remainder when l is divided by g.
24
What is the remainder when 53 is divided by (-6)/48 - 17108/(-416)?
12
Let g = 10210 + -5103. What is the remainder when g is divided by 1698?
13
Calculate the remainder when (7 + 51408/56)/((-2)/(-2)) is divided by 183.
10
What is the remainder when 78 is divided by (57888/84)/24 - (-4)/14?
20
Let z(x) = -277*x - 878. What is the remainder when z(-5) is divided by 507?
0
Suppose n + 8*n - 729 = 0. Suppose -n*m = -79*m - 80. Calculate the remainder when 154 is divided by m.
34
Let d be -1 + (4 - -4) + 10. Suppose -d*k + 1061 = -639. Let i(n) = n**3 - 6*n**2 + 4*n + 2. What is the remainder when k is divided by i(6)?
22
Let w(r) be the second derivative of 5*r**3/3 + 113*r**2/2 + 90*r. What is the remainder when 19 is divided by w(-10)?
6
Let v be 2/5*5/2. Let i be 59 + (-1 - 4/v). Let z = i + -47. What is the remainder when 19 is divided by z?
5
Let u = -999 + 1480. Let l = u + -466. Calculate the remainder when 177 is divided by l.
12
Let q = -11545 + 11656. What is the remainder when q is divided by 34?
9
Let h(b) = -b**2 + 14*b - 33. Let n(y) = -14*y. Let l be n(-3). Let q = -8 + l. What is the remainder when q is divided by h(10)?
6
Let m = -2300 - -2347. Calculate the remainder when 532 is divided by m.
15
Suppose 9*d - 72 = 3*d. Let r(x) = 3*x - 34 + d + x. What is the remainder when 35 is divided by r(10)?
17
Let n(u) = u**2 + 15*u + 57. Let r be n(-9). Suppose 14*c = r*c + 77. What is the remainder when 43/4 + (6 - c)/(-4) is divided by 2?
1
Let n = 358 - -1591. Calculate the remainder when n is divided by 32.
29
Suppose -6*b + 9 = -3*b. Suppose 0 = -3*t + b, -2*w + 3*t + 3 = 20. Calculate the remainder when (20/w)/(28/(-98)) is divided by 3.
1
Suppose 5*k + 5*u = 0, k = 4*k - 3*u - 18. Suppose 0 = -3*r - k*d + 130 + 146, -2*d + 93 = r. What is the remainder when r is divided by 24?
19
Suppose -4*q - q + 5*m + 205 = 0, -3*m - 201 = -5*q. What is the remainder when 115 is divided by q?
37
Let d = 27825 + -27644. Calculate the remainder when 1808 is divided by d.
179
Suppose 0 = -i - 93 + 116. Let k = -35 - -39. What is the remainder when i is divided by k?
3
Suppose 0 = 3*o - 4*y + 6*y - 453, -151 = -o + 3*y. Calculate the remainder when o is divided by 82.
69
Suppose 3*y - 448 + 91 = 0. Let u(t) = t**2 - 13*t + 32. Let q be u(10). Calculate the remainder when y is divided by ((-1260)/(-6))/5 - q.
39
What is the remainder when (-4 - 20/(-8))*(-3172 - 22) is divided by 51?
48
Let u(q) = 578*q - 3546. Calculate the remainder when u(7) is divided by 168.
164
Suppose 0 = -3*f - 5 + 8, -5*y = -3*f + 213. Let l(b) = b**3 + 43*b**2 + 43*b + 49. What is the remainder when 22 is divided by l(y)?
1
Suppose -60*b - 61*b = -14278. Calculate the remainder when b is divided by 24.
22
Suppose 12*y + 139 - 559 = 0. Suppose -98*m + 13824 = 10*m. What is the remainder when m is divided by y?
23
Suppose 0 = 38*p - 44*p + 24. Let n = p - -30. What is the remainder when n is divided by 9?
7
Let k be 9*(-2 - (5 + -18)). Let s = k + -89. Let q(z) = z**3 + 6*z**2 - z - 4. What is the remainder when q(-5) is divided by s?
6
Let i = 8851 - 7910. What is the remainder when i is divided by 16?
13
Let i(t) = 6*t**2 + 12*t + 2. Let r be i(-2). Suppose 86 + 90 = r*o. What is the remainder when o is divided by 43?
2
Calculate the remainder when 39538/3 + 235/141 is divided by 13.
12
Suppose 887*k - 1786 = 885*k. Calculate the remainder when k is divided by 7.
4
Suppose -2*k + 3 = 5*f + 8, -f = -4*k + 67. Calculate the remainder when 1988 is divided by k.
8
Suppose k = p + 98, 11*k - 4*p - 298 = 8*k. Suppose -2*d + k = 4*s, 3*s - 167 = -4*d + 2*s. Calculate the remainder when 202 is divided by d.
38
Suppose 6*c + 34 - 124 = 0. Let r be (1 - -1) + (4 + 101)/(-3). What is the remainder when r/4*(-160)/30 is divided by c?
14
Suppose 2*u = -0*u + 60. Suppose -948 = -2*t + 2*q, 16*q = 3*t + 17*q - 1434. What is the remainder when t is divided by u?
27
Suppose -47*u + 93*u = -229*u + 469700. Calculate the remainder when u is divided by 74.
6
Let a = -2944 - -2993. Calculate the remainder when 530 is divided by a.
40
