.
2
Suppose z = -13*z + 784. What is the remainder when 446 is divided by z?
54
Let u = 20 - 19. What is the remainder when 7 is divided by -4 - ((-1 - u) + -7)?
2
Let d be ((-7)/(-3))/(5/60). Let m be 7/(d/(-12)) + 7. Suppose c + m*a = 0, 25 = 5*c - 2*a - 3*a. What is the remainder when 23 is divided by c?
3
Let u(r) = -2*r**3 + 12*r**2 - 1. Let h be u(6). What is the remainder when (-18)/(-27) + h + 86/6 is divided by 8?
6
Suppose -6*j = -2*j - 20. Let c(o) = 2*o**2 - 12*o - 10. What is the remainder when j is divided by c(7)?
1
Let a(d) = -d**3 + 7*d**2 - 4*d - 1. Let m be a(6). Suppose -8 = -2*h + w, -2*w - 2 = 2*h + 2. Calculate the remainder when (-56)/(-18) - m/99 is divided by h.
1
Let b(r) = -r**2 - 23*r + 1. Let u be b(-23). Calculate the remainder when ((-16)/(-12))/(u/57) is divided by 26.
24
Suppose -3*o + 30 = 3*q, -o - 5*q + 20 = 6. Suppose -52086 = -215*p - 164*p - 11912. Calculate the remainder when p is divided by o.
7
Let i(w) = 2*w**2 - 77*w - 355. Calculate the remainder when 319 is divided by i(-5).
79
Let f be 7 - (-20)/(-12)*3. Suppose -4*b + 39 + 23 = -f*h, -h = 5*b - 60. What is the remainder when 46 is divided by b?
7
Let z = -2635 + 2730. What is the remainder when z is divided by 16?
15
Let o(t) = 11*t - 14. Let z be (-26)/(-5) + (-1)/5. Calculate the remainder when o(z) is divided by 21.
20
Suppose -3*a = 4*d - 1787, -2*d + 383 = -a - 518. What is the remainder when d is divided by 76?
69
Let t = -38 + 33. Let c(m) = -m**3 - 5*m - 11. Calculate the remainder when c(t) is divided by 37.
28
Let k = 1747 - 1437. What is the remainder when k is divided by 12?
10
Let t(u) = 223*u**3 - u. What is the remainder when t(1) is divided by 9?
6
Let w = 238 + -229. Calculate the remainder when 123 is divided by w.
6
Let f = -2424 - -2481. Suppose -4*q + 54 = 2*d, 3*q + 2*d + 3*d - 51 = 0. What is the remainder when f is divided by q?
9
Suppose -c + 1024 = 4*i, -c - 256 = -i + c. Calculate the remainder when i is divided by 43.
41
Let x = 1664 + -424. What is the remainder when x is divided by 54?
52
Suppose -u = 4*u + 3*b - 22, -4*u + 17 = 3*b. Calculate the remainder when ((-1)/(-3))/(u/645) is divided by 12.
7
Suppose 2*k - 5*k = -5*t + 140, 5*t = 2*k + 100. Let n = k - -67. Calculate the remainder when 106 is divided by n.
25
Suppose 2*u + 85 = 2*s + 3*u, 3*s - 129 = -2*u. What is the remainder when s is divided by (-18)/4*30/(-9)?
11
Calculate the remainder when (-473)/(-7) - (-8)/(-14) is divided by 23.
21
Let d(m) = 8*m**2 - 44*m + 7. Calculate the remainder when 348 is divided by d(7).
75
Let q = 5 - 2. Suppose 5*x + 3*o - 3 = -1, x - q*o - 4 = 0. Suppose 0*s + 4*s = -4*m + 24, 15 = 5*m + 2*s. What is the remainder when m is divided by x?
0
What is the remainder when 933 is divided by 28/(-210) + (-544)/(-30)?
15
Suppose -70*a = -72*a - 10. Let o(w) = 5 + 2*w**2 + w**3 + 4*w**2 + w**2 + 6*w. What is the remainder when o(a) is divided by 15?
10
Let w(c) = 13*c + 257. What is the remainder when 17 is divided by w(-19)?
7
Suppose -2*r - 57 = k - 181, 332 = 5*r - 3*k. What is the remainder when 140 is divided by r?
12
Let h be (0/4)/(1 - -2). Suppose h = 5*r + 3*z - 112, 2*z = -2*r + 5*z + 28. Calculate the remainder when 34 is divided by r.
14
Let r(u) = 86*u + 167. Calculate the remainder when r(6) is divided by 19.
18
Suppose 3*n - 3 = 0, 2*x + 39 = 4*x + 5*n. Let f be (-1)/2 + 10/(-4). Calculate the remainder when 10/(-6) - 104/f is divided by x.
16
Suppose -3*q + 873 = 5*p, 349 = 2*p - 0*q + q. Suppose -3*i + 111 = 6. What is the remainder when p is divided by i?
34
Let g = 10 - 5. Let y(h) = h**2 + 2*h - 109. Calculate the remainder when 213/g - 4/(-10) is divided by y(-12).
10
Let t(f) = -2*f - 4. Let b be t(-3). Suppose -4*k - 206 = -5*l, -k = l - b*k - 42. Calculate the remainder when l is divided by 14.
10
Let i(z) = 4*z**3 + 5*z - 2. Let n be i(2). Suppose 4*c - n = -c. Calculate the remainder when 21 is divided by c.
5
Suppose -2*c - 96 = -5*c. What is the remainder when c is divided by (-9)/6 + 74/4?
15
Suppose 0 = -104*l + 98*l + 108. Suppose 2*w + 2*d = -3*w + 42, -2*d = -5*w + 38. Let j = l - w. What is the remainder when 39 is divided by j?
9
Let o(q) = 11*q - 3. Let d be o(3). Let l be ((-42)/(-1) - (-12)/(-6)) + -2. Let m = l - d. Calculate the remainder when 31 is divided by m.
7
Let j = 50 - 32. Calculate the remainder when 250 is divided by j.
16
Suppose 2*k = -13 + 17. Suppose 22 = k*j + 8. What is the remainder when j is divided by 3?
1
Suppose -2*j = -2*l + 160, 13*l + j - 78 = 12*l. Calculate the remainder when l is divided by 4/(2 + 3/(-2)).
7
Suppose -g + 0*g + 3 = 0. Let t(h) = 50*h**2 + 2*h - 2. Let z be t(1). Let f = z - 44. What is the remainder when f is divided by g?
0
Let c be 4/(-8) + (-18)/4. Let i = c - -1. Let r = i - -18. What is the remainder when r is divided by 3?
2
Let i = -89 + 174. Suppose 253 = 39*m - 535 - 889. What is the remainder when i is divided by m?
42
Let s = 66 + -46. Suppose -2*b = -4 + s. Let k(f) = f**2 + 5*f - 11. Calculate the remainder when 48 is divided by k(b).
9
Suppose 4*s - c - 269 = 0, -7 = -s - 4*c + 39. What is the remainder when s is divided by 62?
4
Let j(c) = c**3 + 2*c**2 + 4*c + 35. Calculate the remainder when 56 is divided by j(0).
21
Suppose -38*h - 451 = -1477. Let a(q) = -105*q + 1. What is the remainder when a(-1) is divided by h?
25
Let m = -181 + 197. Calculate the remainder when 111 is divided by m.
15
Let a be (-8 - -5) + (8 - 1). Suppose x = -5*y + 2 + 35, -5*y + 27 = -a*x. Let w = 15 - y. What is the remainder when 23 is divided by w?
7
Let r = 60 - 28. Let d = -21 - -35. What is the remainder when r is divided by d/(-49) + 121/7?
15
Let y(c) = c - 3. Let a be y(12). Suppose w = j + 6, a = w - 0*w + 2*j. Let s = 13 - w. Calculate the remainder when 27 is divided by s.
3
Suppose 47 = -v + 3*v + 5*o, 0 = 3*v + 5*o - 83. Calculate the remainder when v is divided by -1 + -12*(-3 - -2).
3
Suppose -3*h = 12, -2*z + 4*h + 441 = -385. What is the remainder when 17 is divided by z/(-30)*2/(-3)?
8
Suppose -5*f - 365 = -5*o, -2*o + 79 = -o + f. Let c = o - 62. Calculate the remainder when 25 is divided by c.
11
Let a(l) = l**2 + l - 8. Let c(k) = -k**3 - 12*k**2 - 2*k - 28. Let r be c(-12). What is the remainder when 16 is divided by a(r)?
0
Let b = -427 - -446. What is the remainder when 64 is divided by b?
7
Suppose -11*i + 38 = -9*i. Suppose i = -7*f + 54. What is the remainder when 6 is divided by f?
1
Let y = -447 - -463. Calculate the remainder when (-4)/(-18) - 536/(-18) is divided by y.
14
Suppose -3*f = -64 + 22. What is the remainder when 123 is divided by f?
11
Let s(i) = -i**3 - 12*i**2 + 28*i + 21. What is the remainder when 122 is divided by s(-14)?
17
Calculate the remainder when 126 is divided by (2 + (-78)/(-15))*(-100)/(-60).
6
Let b(t) be the second derivative of t**5/20 + 3*t**4/4 + 7*t**3/3 + 8*t**2 + 2*t - 7. Calculate the remainder when 125 is divided by b(-7).
13
Let m be 78/(-24) + (-1)/(-4). Let y be m*((-224)/12)/4. Calculate the remainder when 20 is divided by y - (0/(-4) + 3).
9
Suppose -48*l - 66 = -51*l. Let j be (7 - 1)*(-47)/(-2). Suppose 2*c - 4*x = 192, -2*c - 5*x + 6 = -j. What is the remainder when c is divided by l?
20
Suppose 8*r = 2*h + 4*r - 6, 24 = 2*h + 2*r. Let j(o) = -o**3 + 8*o**2 - 8*o + 7. What is the remainder when j(5) is divided by h?
6
Suppose 2*p = 5*p - 297. Suppose -t = -4*d + 3 - 117, d + p = t. What is the remainder when t is divided by 19?
18
What is the remainder when (75/(-21) - -1)/((-18)/63) is divided by 5?
4
Suppose 5*k - 50 = -5*r, 72 = 2*k - 3*r + 27. Calculate the remainder when 21 is divided by k.
6
Suppose j = 4*y - 3, -2 = 5*y - 6*y. Suppose t - 5*t = -4*m - 72, j*m + 45 = 2*t. What is the remainder when t is divided by 4?
3
Let t be (-105)/(-14)*1*10. Suppose o - t = -26. What is the remainder when o is divided by 13?
10
Suppose 8*v = 1327 + 769. Let k = v - 156. Calculate the remainder when k is divided by 36.
34
Let r = 174 - 154. What is the remainder when 28 is divided by r?
8
Suppose 0 = -17*t - 384 + 1285. Suppose i - 54 = -i. Calculate the remainder when t is divided by i.
26
Suppose 315 = 25*j - 60. Calculate the remainder when 130 is divided by j.
10
Let a(u) = 2*u