
Suppose -20*h + 22*h + 34 = 0. Let y = h + 109. Let u = y - 67. What is the remainder when 97 is divided by u?
22
Let t(r) = -6*r - 217. Let z be t(-37). Suppose -z*i + 88 = -17. What is the remainder when 62 is divided by i?
20
Let q(b) = 22*b**2 - 13*b. Let f be q(1). Suppose -4*j = -f*j - h + 69, 5*j - 66 = -4*h. Calculate the remainder when 769 is divided by j.
13
What is the remainder when (-103 - -100) + (-798)/(-2) is divided by 81?
72
Suppose -155*b + 185*b = 9330. Calculate the remainder when b is divided by 24.
23
Let a be 146/(2 - (-5 - -5)). Suppose 0 = -i + s + 75, 4*i + s - a = 3*i. What is the remainder when i is divided by 15?
14
Let x(p) = -2*p**2 - 43 + 40 - 7*p + p**2. Calculate the remainder when (21/(-15))/((-1)/5) is divided by x(-6).
1
Let w = 39362 - 38692. Calculate the remainder when 2028 is divided by w.
18
Suppose 8*o + 6 = 30. Suppose -99 = -5*k - r - 3*r, -5*r + 62 = o*k. Calculate the remainder when 112 is divided by k.
17
Let o(j) = -49*j + 32. Let v(f) = -783*f + 513. Let l(m) = -33*o(m) + 2*v(m). Let z be l(-3). Let n = 426 + z. What is the remainder when n is divided by 35?
33
Let n be (-4)/6*3 - 117. Let v = n - -261. Let j(z) = -z**3 + 6*z**2 + 3*z + 57. What is the remainder when v is divided by j(7)?
26
Let h(o) = -14 + 12*o - 17*o - 22. Let r be h(-8). Calculate the remainder when 19 is divided by 3/((-6)/r) + 30/5.
3
Let q = -1771 + 1792. What is the remainder when 393 is divided by q?
15
Suppose 0 = q + 9*w - 8*w - 7, 0 = 3*q + w - 15. Suppose 103 = q*c + 5*l, c - 5*l = 3 + 4. Calculate the remainder when c is divided by 9.
4
Let v(f) = 3*f + 85. Let o(m) = 149*m + 85. Calculate the remainder when o(1) is divided by v(-20).
9
Let z = 371 - 356. Suppose -12*o - 87 = -z*o. Suppose -5*p = 10, -4*d + 8 = 2*p - 8. Calculate the remainder when o is divided by d.
4
Suppose -3*y - 3225 = 12*y. Suppose -3*t + 9 + 39 = 0. Calculate the remainder when (4/(-20) + 0)*y - -4 is divided by t.
15
What is the remainder when 35120 is divided by -2*(-1 + 3) + (14 - (-143)/11)?
22
Let s be 23/3 + (-3 - (-20)/6). Suppose s*h - 58 = -10. What is the remainder when 23 is divided by h?
5
Suppose -51*r + 46*r + 2*z = 12, -z - 20 = 4*r. Calculate the remainder when (-36615)/(-60) + r + (-3)/(-4) is divided by 21.
19
Let p = -6 + 28. What is the remainder when (1 + (-165)/(-6))*(2464/84 - 28) is divided by p?
16
Suppose -53*z + 28*z + 675 = 0. Let g = 84 + -37. Calculate the remainder when g is divided by z.
20
Let o = -6 - -8. What is the remainder when ((-51)/102)/((-4)/(-22) - 309/1518) is divided by o?
1
Let m(f) = 3*f + 68. Let t be m(-20). Suppose 13*q = t*q - 5*u + 25, 5*q = -4*u + 28. Calculate the remainder when 29 is divided by q.
5
Suppose -2*l = -8*r + 4*r - 82, 134 = 4*l + 2*r. Suppose 0 = -3*b - 4*x + 107, b + 4*x - l = -2. Calculate the remainder when 145 is divided by b.
34
Suppose 6048 = 2*a - 4856. Suppose 4*t + 4618 + 2152 = 5*l, -4*l = 4*t - a. Calculate the remainder when l is divided by 68.
66
Let f(o) = 2*o**2 + 10*o - 13. Let g be f(-6). Let v be (1/5 + g)*(-5)/1. Let a = 7 + v. What is the remainder when 42 is divided by a?
9
Suppose -7*y + 5*b + 253 = 0, 3*y - 5*b = 151 - 34. Calculate the remainder when 111 is divided by y.
9
Let r(q) be the first derivative of -q**2/2 + 72*q + 36. Suppose -4*g = -39 - 33. What is the remainder when r(-13) is divided by g?
13
Let q = 6424 + -6326. What is the remainder when 363 is divided by q?
69
Let i(f) = f - 1. Let t(g) = -2*g + 21*g - 11*g - 8 - 2*g. Let h(n) = 2*i(n) - t(n). What is the remainder when 26 is divided by h(-2)?
12
Suppose 13*q - 11*q + 290 = 5*z, -z - 5*q + 85 = 0. Suppose 4*x - z = -5*c + 1319, 4*x = -16. What is the remainder when c is divided by 40?
39
Suppose 43*p - 3492 - 6226 = 0. Calculate the remainder when 488 is divided by p.
36
Let b(u) = -u**3 - 9*u**2 + 8*u - 30. Let c be (21 + -26)*(3 - 1). Let a be b(c). Let i(x) = -x + 3. Calculate the remainder when 62 is divided by i(a).
10
Let n(f) = 149*f**2 + f + 4. Let i(y) = y**3 + 15*y**2 + y + 14. Let j be i(-15). What is the remainder when n(j) is divided by 9?
8
Suppose 0 = n + 148 - 1608. Suppose 38*y - 28*y - n = 0. Calculate the remainder when y is divided by 38.
32
Suppose -18*z - b + 147 = -15*z, -2*z - b + 98 = 0. What is the remainder when 635 is divided by z?
47
Let k = -117 - -122. Suppose j - k*d = 58, 2*j - 80 = -0*j + d. Calculate the remainder when 111 is divided by j.
35
Suppose 5*j - 3*o + 576 = -0*o, 3*j + 334 = -4*o. What is the remainder when 49 is divided by ((-13)/(-3) + -5)/(4/j)?
11
Suppose 0 = 4*o - 58 - 202. Suppose 5*z - 40 = o. Calculate the remainder when 80 is divided by z.
17
Suppose 35*w + 5*i = 40*w - 25, -16 = -4*w + 2*i. Calculate the remainder when 29 is divided by w + -4*(-20)/16.
5
What is the remainder when (1543140/(-32))/(-5) + 159/424 is divided by 11?
9
Let c(n) = -5*n**2 - 46*n + 12. Calculate the remainder when 1046 is divided by c(-9).
17
What is the remainder when -4 - (560/(-9) - 10/(-45)) is divided by 41/(-82) - 2/(4/(-63))?
27
Let r = 8613 + -4096. What is the remainder when r is divided by 6?
5
Let r(l) = -l**2 - 7*l - 10. Let h be r(-8). Let q(g) = -g + 27. Let i be q(h). Let y = i + -28. What is the remainder when y is divided by 5?
2
Suppose -9*d = -1643 + 4253. What is the remainder when 7*(-2)/42*(d - 1) is divided by 21?
13
Let i = 731 - 708. Let o(c) = 2*c**2 + 10*c - 10. What is the remainder when o(5) is divided by i?
21
Suppose 0 = 14*m - 124937 - 174716 + 32785. Calculate the remainder when m is divided by 93.
90
Suppose -22*z = -6980 - 4702. What is the remainder when z is divided by 41?
39
Let t(v) be the third derivative of 13*v**4/24 - 31*v**3/6 + 57*v**2. Calculate the remainder when 92 is divided by t(5).
24
Suppose 0 = -g + 29 + 355. Let t = g - 366. What is the remainder when 356 is divided by t?
14
Suppose c = 228 + 248. Suppose -12*u + 15*u - 228 = 4*n, -2*u = 5*n - 175. Calculate the remainder when c is divided by u.
76
Calculate the remainder when (1732/(-3897))/((-2)/1098) is divided by 56.
20
Suppose -463*t + 424*t = -624. What is the remainder when 236 is divided by t?
12
Suppose 13*k + 600 = 23*k. Calculate the remainder when 16135/75 - (-3 - (-188)/k) is divided by 36.
35
Suppose -3*l + 103 + 68 = -3*x, x = -4. Let t = 64 - 87. Let i = t + 45. Calculate the remainder when l is divided by i.
9
Suppose -5*w = y - 2, -2*w + 6*w + 2 = y. Suppose 2*o - 9 + 5 = w. Suppose 16 = 4*z, v - 5*z = o*v - 28. Calculate the remainder when 27 is divided by v.
3
Let g(j) = 11*j - 31. Let c(q) = -13*q + 32. Let x(r) = 3*c(r) + 4*g(r). Let w = 72 + -33. Calculate the remainder when w is divided by x(7).
4
Let k be -4 - (27/(-9) + -9). Suppose 32 = 5*x - 2*n, -4 = 10*x - k*x - 5*n. Calculate the remainder when 525 is divided by x.
5
Let s be 2*(-1 + 7) - (0 + 2). Calculate the remainder when -4 + s/15*243/6 is divided by (-2 - (-1)/1)*-12.
11
Suppose -5*f - 16 = -4*h, -7*f + 4*f = -12. Let w = 14 + 1. Let n = 4 + w. What is the remainder when n is divided by h?
1
Suppose 2 = 27*s - 23*s + 2*n, -4*s + 2*n = -14. Calculate the remainder when 17 is divided by 19/38*(4 - s).
0
Let w = 479 - 476. Calculate the remainder when (w + -5 - 5)/(9/(-27)) is divided by 11.
10
Suppose 67 = -3*h + 271. Suppose 135 = 8*v - 153. Suppose -3*y + 3*d + 597 = 0, 31*y - v*y = 4*d - 1013. Calculate the remainder when y is divided by h.
65
Suppose -11*y + 195 - 1834 = 0. Let u = y - -193. What is the remainder when 174 is divided by u?
42
Calculate the remainder when 1 + ((-10)/2 - (-3 - 855)) is divided by 86.
80
Let o(m) = 334*m + 7. Let f be o(1). Suppose -f = 29*i - 921. Calculate the remainder when 378 is divided by i.
18
Let q(d) = 2*d**2 - 7*d + 2. Let s = 71 + -7. What is the remainder when s is divided by q(5)?
13
What is the remainder when 1628 is divided by 0 + 0 + -11 + 183395/4265?
28
Let b = -39 + 70. Suppose -77*m = 71*m - 146*m. Suppose -42*v + 40*v + 106 = m. Calculate the remainder when v is divided by b.
22
Let f(b) = -4*b**2 - 15*b - 53. Let z(t) = 2*t**2 + 7*t + 26. Let o(k) = 4*f(k) + 9*z(k). What is the remainder when 283 is divided by o(-5)?
55
Let l be ((-2)/(-4))/((-16)/(-192)). Suppose 0 = -3*g - 3*a + l*a - 54, 3*a - 3 = 0