
2
Let r(c) = c**3 - 15*c**2 + 31*c - 24. Calculate the remainder when 150 is divided by r(13).
27
Suppose -5*q = -3*d, 12 = 3*d + 4*q - 5*q. Let k = 35 - d. Suppose k = 2*j - 6. Calculate the remainder when 34 is divided by j.
16
Let x(y) = 3*y**2 - 32*y - 37. Let h be x(16). Calculate the remainder when h*1*((-40)/15)/(-8) is divided by 37.
36
Let w(o) = 6*o**2 - 8*o - 6. What is the remainder when 68 is divided by w(3)?
20
Let o(f) = 29*f**2 - 46*f + 139. Calculate the remainder when o(3) is divided by 48.
22
Let w(j) = 6*j + 92. Suppose -x = 2*p - 12 - 17, 0 = 3*p + 5*x - 54. What is the remainder when w(-9) is divided by p?
12
Let c(y) = -y**3 + 5*y**2 + 8*y - 7. Let d(r) = r + 48. Let p be d(0). Suppose -2*k = k - p. Calculate the remainder when k is divided by c(6).
1
Let b(k) = 7*k**2 + 21*k + 15. Let d(r) = -r**2 - r. Let m(t) = -b(t) - 6*d(t). What is the remainder when m(-10) is divided by 12?
11
Let z = -1001 - -1155. What is the remainder when 758 is divided by z?
142
Suppose 39*g = 41*g - 474. Suppose 4*t + 5*s = -0*t + 183, -2*s = -5*t + g. Calculate the remainder when 92 is divided by t.
45
Suppose f = -3*o - 50, 1 - 6 = f. Let r(i) = i**3 + 14*i**2 - 15*i + 17. Calculate the remainder when r(o) is divided by 2.
1
Let r(l) = 20*l**3 + l**2 + 4*l - 4. What is the remainder when 38 is divided by r(1)?
17
Calculate the remainder when 74 is divided by ((-18)/(-45))/((-1)/(-65)).
22
Suppose 0 = -4*h - 12, 5*o + 1 = -2*h - 25. Let i(n) = 5*n**2 + 4*n + 5. Calculate the remainder when i(o) is divided by 10.
9
Suppose 5*u = 4*p - 252, -2*u = -3*u. Calculate the remainder when 627 is divided by p.
60
Let j be 188/(-28) - (-2 - (-32)/14). What is the remainder when 42 is divided by -4*j/(84/27)?
6
Suppose -3*j = -2*m + 212, 2*m = -j + 119 + 93. Let y(b) = 8*b + 2. Calculate the remainder when m is divided by y(2).
16
Suppose 4*x + 4*u + 1 = 17, 0 = -u + 4. Suppose 12 = 4*t, -3 = -b + 2*t - x. Calculate the remainder when 42 is divided by b.
6
Let n = 17 + -10. Let z(m) = m**2 - 36*m + 325. Calculate the remainder when z(22) is divided by n.
3
Let a = 0 + 2. Let j(t) = 2*t - 4*t - a + 2*t + t. Calculate the remainder when 22 is divided by j(6).
2
Let t be (-24)/84 - 32/(-14). Suppose -3*i - 2*y = -92, t*y + 100 = 2*i + i. Let s = 56 - 39. Calculate the remainder when i is divided by s.
15
Let a = -393 - -560. Suppose 0 = -12*k + 8*k + 168. Calculate the remainder when a is divided by k.
41
Let a be (1 - -1) + 72 + -4. Suppose -m + a = 25. Suppose -4*v + m + 23 = 0. What is the remainder when 65 is divided by v?
14
Suppose 3*z = 4 - 13, 2*d + 3*z = 1. Suppose -7*h = -2*h - 2*m + 45, -d*h - 5*m - 45 = 0. Let k(p) = -p + 6. What is the remainder when 27 is divided by k(h)?
12
Let a = 1 - -2. Suppose -a*j + 1 = -4*j. What is the remainder when j + (1 - -2) + 55 is divided by 15?
12
Let x = -8 + 10. Let t(p) = 3*p**3 + 2*p**2 + 1. Calculate the remainder when t(x) is divided by 12.
9
Let l = -200 + 237. What is the remainder when 40 is divided by l?
3
Calculate the remainder when (-11)/(132/8)*-522 is divided by 50.
48
Suppose 33 = -3799*y + 3810*y. Calculate the remainder when 29 is divided by y.
2
Suppose -4*d + 19 = 3*w + 1, 5*d - 40 = 5*w. Suppose -d*r + 435 = -r. Calculate the remainder when r is divided by 22.
21
What is the remainder when 20 is divided by ((-1539)/228)/(7/(-4) - -1)?
2
Suppose -f - 3*v = -6*v - 19, -15 = -5*v. Calculate the remainder when 74 is divided by f.
18
Let o = -24 - -41. Suppose -2*l + 983 = 5*x, 2*l + 3*l = 2*x - 370. What is the remainder when o is divided by 1 + x/21 + (-4)/14?
7
Let r = -1303 + 1335. What is the remainder when 147 is divided by r?
19
Suppose 4 = -t + 2, 5*l - 3*t - 271 = 0. Let v(c) = 2*c**3 + c**2 - 2*c + 2. Calculate the remainder when l is divided by v(2).
17
Suppose 5*m + 5*b - 1823 = 1392, 0 = 3*m - 2*b - 1944. Calculate the remainder when m is divided by 11.
8
Let f(r) = -5*r**3 - 3*r**2 - r + 3. Let g = -23 + 25. Suppose -2*z - 6 = -w, -g*z - 2*z - 16 = -4*w. What is the remainder when f(z) is divided by 9?
6
Let s(a) = a**3 - 2*a**2 - 6*a + 9. Calculate the remainder when 160 is divided by s(5).
52
Let y = 8 - -29. Let s = -29 + y. Calculate the remainder when 31 is divided by s.
7
Let h(c) = -9*c + 98. What is the remainder when h(0) is divided by 10?
8
Calculate the remainder when (24/40)/(((-21)/(-180))/7) is divided by 25.
11
Let u = -34 - -50. Let z be 0*-2*3/(-12). Calculate the remainder when (z + (0 - 1))*-45 is divided by u.
13
Let w = 205 - 193. Calculate the remainder when 117 is divided by w.
9
Let a(t) = 10*t**2 - 3*t. Let k be a(4). Suppose 3*j = -j + k. Suppose -5*s + 53 = -3*i, -4*i - 33 = -5*s + 21. What is the remainder when j is divided by s?
7
Suppose 5*z - 334 = -134. What is the remainder when 132 is divided by z?
12
Suppose -702 = -30*u + 21*u. Calculate the remainder when 466 is divided by u.
76
Let p = 502 + -398. What is the remainder when p is divided by 21?
20
Suppose -b = 3*l - 39, -3*l + 1 = 10. What is the remainder when 134 is divided by b?
38
Suppose -49 = -3*r + 107. Suppose -3*o = o - r. Suppose -2*d - 2*m = -46, 7*m = -d + 10*m + 31. What is the remainder when d is divided by o?
12
Suppose 0 = -191*p + 192*p - 214. What is the remainder when p is divided by 62?
28
Let t(s) = s**3 + 15*s**2 - 20*s - 39. Calculate the remainder when 121 is divided by t(-16).
21
Let a = 71 + -126. Calculate the remainder when -7 + 8 + a/(-1) is divided by 15.
11
Suppose -9 = 3*h - 156. What is the remainder when 290 is divided by h?
45
Suppose -6*i + 9 = -549. Calculate the remainder when i is divided by 22.
5
Let h(u) = -2*u**3 - 26*u**2 - 2*u - 5. What is the remainder when 523 is divided by h(-13)?
19
Let t(h) = h**3 + 18*h**2 + 2*h + 19. Let l be t(-18). Let n = -15 - l. What is the remainder when 3 is divided by n?
1
Let a(z) = 13*z**2 - 3*z + 1. Let v = 15 + -13. Suppose -2 = -w + v*w. Calculate the remainder when a(w) is divided by 15.
14
Suppose 3 = -j + 16. Let y = 14 - 10. Suppose -2*c = -y*p + 102, -3*c - 15 = -0*c. What is the remainder when p is divided by j?
10
Let o(t) = t**2 + 2*t - 7. Suppose -14*r - 10*r + 1176 = 0. What is the remainder when r is divided by o(-6)?
15
Suppose 2*c - 85 = 5*y, -5*y = -3*y - 6. Let n = 834 + -821. Calculate the remainder when c is divided by n.
11
Let d = -1019 + 1693. What is the remainder when d is divided by 27?
26
Let v(p) = p**3 + 2*p**2 - p - 1157. Let k be v(0). Calculate the remainder when k/(-39) + (-4)/6 is divided by 16.
13
What is the remainder when 156 is divided by -75*(-11)/(198/6)?
6
Let f(a) be the third derivative of -7*a**4/24 - 3*a**2. What is the remainder when f(-2) is divided by 6?
2
Let i = -9 - 3. Let s = -9 - i. Suppose 0 = -5*h + 3*l + 118, 4*h - 116 = -s*l. What is the remainder when h is divided by 14?
12
Let a = -102 + 137. Let s(k) = -k**3 - 2*k**2 - k + 1. Calculate the remainder when a is divided by s(-3).
9
Suppose 5*x - 5*r = 95, -4*r = 4*x + r - 40. Suppose 220 = -2*w + 6*w. What is the remainder when w is divided by x?
10
Let n be (-77)/(-7) - (0 + 4). Suppose n*i - 78 = i. What is the remainder when i is divided by 9?
4
Let l(n) = -31*n + 229. What is the remainder when l(-2) is divided by 14?
11
Let n(r) = 4*r**2 - 8*r + 7. Let d = -91 - -87. What is the remainder when n(d) is divided by 53?
50
Suppose -16*k - 177 = -417. What is the remainder when 23 is divided by k?
8
Let j = -5 + 5. Suppose -f - 10 + 14 = j. What is the remainder when 55 is divided by (4/(-16) + f)*4?
10
Let w = 22 - 13. Let k(i) = -i - 2 + 4 - 8*i - 8*i**2 + 0*i + i**3. What is the remainder when 5 is divided by k(w)?
1
Let p(v) = v**2 - 8*v + 31. Let q(b) = -b + 7. Let s be q(-1). What is the remainder when p(s) is divided by 17?
14
Let n(y) = y**2 - 29*y + 23. Calculate the remainder when n(30) is divided by (-1)/(-2) + 216/16.
11
Let d(l) = -4*l**3 - 4*l**2 + 5*l - 21. Let x be d(4). What is the remainder when (x/(-4) + 0)*(-24)/(-9) is divided by 36?
34
Suppose -21*p + 16*p = -55. Let s(t) = -t**3 - 7*t**2 - 8*t + 2. Let k be s(-6). Calculate the remainder when 6/21 + 598/k is divided by p.
10
Let g = 56 - 58. Let y(c) = 3*c**2 + 1. What is the remainder when g/6 - (-148)/3 is divided by y(-2)?
10
Cal