. Suppose 0 = x - 2, o*x + 8 = 3*m. Suppose -686 = -5*t - 631. What is the remainder when t is divided by m?
3
Let s = -2698 + 4226. What is the remainder when s is divided by 22?
10
Let f(y) = -114*y - 12. Let r be f(-4). Let n = r + -183. Suppose 0 = 2*q - 5*q + n. Calculate the remainder when q is divided by 9.
6
Let w(m) = -m**2 + 30*m - 101. Calculate the remainder when w(21) is divided by 5.
3
Let c(z) = z - 16. Let n = -35 - -27. Let m be c(n). What is the remainder when 23 is divided by (-260)/m + (-2)/(-12) - 3?
7
Let c = -3915 + 3934. Calculate the remainder when 5489 is divided by c.
17
Let o(p) = 7*p + 87. Let m be o(-11). Suppose 176 = 21*j - m*j. Let l(v) = v**3 + 9*v**2 + 2*v + 6. What is the remainder when l(-4) is divided by j?
14
Let h = 79 - 82. Calculate the remainder when 37 is divided by (h + 30/8)/(3/48).
1
Suppose -2*n = -5*r - 84, -194*r + 198*r = -2*n + 30. What is the remainder when 4292 is divided by n?
26
Let t(j) = j**3 - 10*j**2 + 7*j - 41. What is the remainder when 579 is divided by t(10)?
28
Let t be (-795)/20*((-682)/6 - 1). Calculate the remainder when (t/53)/(1 + 1) is divided by 17.
9
Suppose -722 + 57 = -19*g. What is the remainder when -18*2*19*(-6)/24 is divided by g?
31
Let y = -293 - -327. Let q = -139 - -146. Calculate the remainder when y is divided by q.
6
Let o(g) = 14*g + 115. Let y be o(17). Let z = y + -328. What is the remainder when 197 is divided by z?
22
Let d = -105 + 122. What is the remainder when 46 is divided by (-185)/(-17) + 2/d?
2
Suppose 0 = 8*g + 2767 - 3927. Calculate the remainder when g is divided by 49.
47
Suppose 626*q = 178704 + 104874. What is the remainder when 466 is divided by q?
13
Suppose -101 = -4*y + 3*c, -2*y + 3*c + 53 = 10. What is the remainder when 81 is divided by y?
23
Let k(q) be the first derivative of 5*q**2/2 + 27*q - 2. Let b be k(-5). Calculate the remainder when 392/12 - b/(-6) is divided by 6.
3
Let y = 451 - 360. What is the remainder when 35 is divided by 12*(-1 + y/28)?
8
Let r = 739 + -713. Suppose -4*q + 312 = -300. Calculate the remainder when q is divided by r.
23
Let l(g) = -901*g**3 - g**2. Let z = -77 - -76. Let p be l(z). Suppose -2*s - 3*s + 2*f = -p, -743 = -4*s - 3*f. What is the remainder when s is divided by 23?
21
Suppose -5*c + 28 = -12*c. Let q(g) = -2*g**3 - 3*g**2 + 12*g + 10. What is the remainder when 419 is divided by q(c)?
41
Let r = 7754 - 6998. What is the remainder when r is divided by 82?
18
Let v = 177 + -172. Suppose v*t = 220 + 280. Calculate the remainder when t is divided by 6.
4
Let m(d) = -12*d + 1. Suppose 164*h - 317*h + 22032 = 0. What is the remainder when h is divided by m(-2)?
19
Suppose -13*m - 27 = -14*m. Suppose 240 = -23*d + m*d. What is the remainder when 239 is divided by d?
59
Let q(l) = 2*l**2 + 52*l - 87. What is the remainder when q(-30) is divided by 55?
43
Suppose -11*u = -9*u - 4. Let i = 49 - 21. Suppose u*b - 204 - i = 0. Calculate the remainder when b is divided by 30.
26
Let j(t) = -15*t**2 + 4*t + 6. Let o be j(-3). Let d = o - -207. Let s = d - 31. What is the remainder when s is divided by 9?
8
Let w be 5*((-18)/15)/3. Suppose -p - 2*u + 11 = 0, 2*p - 12 + 18 = 3*u. Calculate the remainder when w - ((-3)/(-3) - 13) is divided by p.
1
Let p = 96 - 94. Let h = p + -5. Calculate the remainder when h/(-6)*-6 + 87 is divided by 29.
26
Let j = -190 - -194. Suppose j*d + 0 = 16. What is the remainder when 38 is divided by d?
2
Suppose -2*a = -4*q - 1248 + 164, -4*q = -4. Suppose -584 = -24*o + a. Suppose 0 = 4*b - 30 - 10. What is the remainder when o is divided by b?
7
Let a = 158 + -46. Let r(v) be the third derivative of -5*v**4/6 - 31*v**3/3 - 5*v**2 + 8. What is the remainder when a is divided by r(-6)?
54
Let k = 15076 - 8553. Calculate the remainder when k is divided by 32.
27
Suppose 105 = 5*j + 40. What is the remainder when ((-10)/20)/(11/(-1056)) is divided by j?
9
Suppose 5*s - 5*r + 6*r - 3 = 0, 2*r + 8 = 4*s. Let i(x) = 29*x + 8. What is the remainder when 181 is divided by i(s)?
33
Suppose n - 738 = -243. Let d = n + -412. What is the remainder when d is divided by 12?
11
Suppose 0 = -l + 8 + 12. Suppose 4*t = l + 64. Let w = 152 + -72. Calculate the remainder when w is divided by t.
17
Let j(y) = y**3 + 6*y**2 - y + 27. Let b be j(-7). Let q(p) = -32*p - 3. Calculate the remainder when (9 + 514/10)/((-3)/b) is divided by q(-2).
58
Suppose 276 = 3*a - 5*s - 228, s = 3*a - 504. Calculate the remainder when 821 is divided by a.
149
Suppose 5*m - 2*w = -w + 243, -m - w = -51. What is the remainder when m/(-28)*(-50 + 6) is divided by 10?
7
Suppose -w - 11 + 7 = 0, f = -w + 602. Calculate the remainder when f is divided by 18.
12
Suppose 3*m - 4*i = -i + 15, -5*m - i + 25 = 0. Suppose -m*u - x + 16 = -93, 47 = 2*u - 3*x. What is the remainder when 42 is divided by u?
20
Let t = -186 + 69. Let l = t + 105. What is the remainder when 45 is divided by 4/(l/(-9)) - -3?
3
Suppose 5*o = 6*o. Suppose 4*c + 3*y - 108 = o, -3*c + 35 = 5*y - 35. Suppose 12 = 4*p, -2*x - 3*p + c = p. What is the remainder when 16 is divided by x?
7
Let s = 710 + -620. What is the remainder when s is divided by 3289/99 + 2/(-9)?
24
Suppose -2*y - 3*o + 59 = 0, -119 = -4*y + o - 6*o. Calculate the remainder when 149 is divided by y.
25
Let s(z) = -2*z**3 + 52*z**2 + 11*z + 438. Calculate the remainder when s(25) is divided by 198.
181
Let u(h) = -h**3 - 4*h**2 + 2*h + 6. Let f be u(-3). Let r be ((-3)/f)/((-2)/(-762)). Let o = r - 88. Calculate the remainder when 231 is divided by o.
36
Let g = 645 - -1673. What is the remainder when g is divided by 29?
27
Let p = -350 - -209. Let x = 101 + p. Let j = 52 + x. Calculate the remainder when 35 is divided by j.
11
Let n(d) = -2*d**3 - 3*d**2 + 7*d - 4. Suppose 5*t - 24 = 13*t. What is the remainder when 7 is divided by n(t)?
1
Let a = 5245 + -5081. What is the remainder when a is divided by 151?
13
Let g(v) = v**3 + 11*v**2 - 28*v + 8. Calculate the remainder when 3010 is divided by g(8).
10
Let j(r) = r**2 + 2*r - 24. Let g be j(-6). Suppose -7*z + 29*z - 550 = g. Calculate the remainder when 52 is divided by z.
2
Let m = -3839 - -3841. Calculate the remainder when 280 is divided by m.
0
Let p(n) = -5*n + 3. Let g be p(0). Suppose z - g*z = -v + 15, 4*v = -z + 15. Suppose 5 = -v*s + 80. Calculate the remainder when 42 is divided by s.
12
Suppose 4*u - 106 - 218 = 0. Suppose 3*n = t - 80, -u = -t - n + 3*n. Suppose -293 = -7*w - t. Calculate the remainder when w is divided by 11.
8
Suppose -4*c + 2*u + 546 = 0, -2*u + 0*u = 5*c - 669. Suppose 65*m + 4 = 66*m, 4*m = -i + 62. What is the remainder when c is divided by i?
43
Suppose -3*k - 30*k = 9*k - 6174. Calculate the remainder when 278 is divided by k.
131
Suppose -u - 249 = -249. Suppose 78*c - 53*c - 6350 = u. What is the remainder when c is divided by 32?
30
Suppose -3*j = -1147 + 46. Suppose 798 = 164*y - 2264 - 710. What is the remainder when j is divided by y?
22
Let j = -35 - -25. Suppose 87 = 3*p + 3*d, 2*d + d - 12 = 0. What is the remainder when 3 is divided by 45/p - 2/j?
1
Suppose -66*p + 96 = -58*p. Suppose 867*x - p = 863*x. Calculate the remainder when 30 is divided by x.
0
Suppose -4*r = 4*n - 9444, 6*n - 7*n = 5*r - 11801. Calculate the remainder when r is divided by 772.
44
Let m = -9 - -25. Let b(f) = -f**3 - f - 7*f**2 + m - 6 - 8. What is the remainder when 61 is divided by b(-7)?
7
Let v = -2352 - -2532. Calculate the remainder when v is divided by 63.
54
Suppose -2*y + y = -69. What is the remainder when ((-2460)/105)/(52/(-910)) is divided by y?
65
Let t = -1080 + 1107. Let n(s) = -s**3 + 17*s**2 + 6*s - 3. What is the remainder when n(15) is divided by t?
24
Calculate the remainder when 425 + -5 + (1 - -3)/(-12 + 11) is divided by 153.
110
Calculate the remainder when -5*654/(-15) + (-6)/(-2) is divided by ((-3)/6)/(2/(-224)).
53
Let u(k) = -k**2 - 213*k + 2263. Suppose z = 8 + 54. Calculate the remainder when z is divided by u(10).
29
Let t(s) = -111*s. Suppose l - 1 = g + 3, 25 = -5*g. Let n(c) = -2*c**2 - 2*c + 28. Calculate the remainder when t(l) is divided by n(0).
27
Suppose 0 = -5*o - 23*a + 21*a + 1181, 0 = -o - 5*a + 273. What is the remainder when 249 is divided by o?
16
Suppose