(a) = 31*a**3 + a**2. Calculate the remainder when 2075 is divided by k(1).
27
Let s = -296 + 94. Let h = s - -231. Calculate the remainder when h is divided by 15.
14
Suppose 4*p + 3 + 1 = 0, f = 3*p + 7. Let n(u) = -u + 3. Let s be n(f). Calculate the remainder when 67 is divided by ((-10)/30)/(s/51).
16
What is the remainder when 191 is divided by 68/(-28) + 2 - 44/(-84)*123?
63
Let q(o) = o**2 + 15*o - 20. Let k(u) = 18*u**3 - u**2 + 1. Let d be k(-1). Calculate the remainder when 338 is divided by q(d).
32
What is the remainder when 1043 is divided by (104/(-260))/((-1)/290)?
115
Let r(n) = -n**2 + 9*n - 16. Let o be r(3). Suppose p + 4*v = 6*v + 386, o*p - 762 = -v. Calculate the remainder when p is divided by 55.
52
Suppose 209 = v + 5*n, -175*v + 4*n + 209 = -174*v. What is the remainder when v is divided by 14?
13
Suppose q - 100 = -4*q. Calculate the remainder when (46/(-8) + 5)/((-57)/16568) is divided by q.
18
Let u(k) = -77*k + 619. Let p(z) = 15*z - 124. Let f(a) = 11*p(a) + 2*u(a). Suppose -2*b + 7 = -1. What is the remainder when f(12) is divided by b?
2
Let f = -93 - -211. Suppose -3*c + 5*p - f = -25, 0 = 4*p + 12. What is the remainder when -5 + (-186)/c + 310/12 is divided by 10?
6
Suppose -49 = -2*m - 37. What is the remainder when m/57 + (3190/19 - 5) is divided by 25?
13
Suppose -4*s + 26 = -3*s. Suppose 5*n = 2*t + 32, t + 2*t - 12 = 0. What is the remainder when s is divided by (75/(-21) - 12/28) + n?
2
Suppose -12 = -t - 5*t. Let c be 1 + (-4 - -5 - t). Suppose -v + l + 26 = -c*v, -12 = 3*l. What is the remainder when v is divided by 14?
8
Let m(t) = 79*t**2 - 341*t + 686. Calculate the remainder when 2288 is divided by m(2).
48
Let o(r) = r + 12. Calculate the remainder when (0 - -2 - 3)/((-3941)/350749) is divided by o(-7).
4
Let w(u) = 26*u**2 - u - 2. Suppose -9*a + 2 = -10*a. Calculate the remainder when w(a) is divided by (2 - 0)*(-594)/(-44).
23
Let l = 75 - -12. Suppose -3*g + 3*i + 0*i + l = 0, -5*g - 5*i + 185 = 0. Let k(h) = -52*h - 11. What is the remainder when k(-4) is divided by g?
32
Suppose -302*c + 303*c - 196 = 5*m, -3*c + 2*m = -653. What is the remainder when c is divided by 20?
1
Suppose 5*g = 38*m - 35*m + 28, -2*m = -8. What is the remainder when (-52)/6*(3 + (-15)/2) is divided by g?
7
Let q be 8 + -2 - 13 - 2. What is the remainder when 119 is divided by (1 + 0)*q/((-27)/30)?
9
Suppose 0 = -l - 4, -2*l - 20 = -4*t - l. Suppose 5*k - 2*u = 2*u - 1362, 5*u - 15 = 0. Let i = -256 - k. Calculate the remainder when i is divided by t.
2
Suppose -3*h + 38 = -73. Let c(y) = -15*y**3 + 6*y**2 + 4*y + 2. Let d be c(-2). Let u = 143 - d. What is the remainder when h is divided by u?
2
Let g = 186 - 166. Suppose -1062 - 1618 = -g*s. What is the remainder when s is divided by 34?
32
Suppose 53219 = 9*p - s, -4*s - 26865 = -5*p + 2708. What is the remainder when p is divided by 12?
9
Let c = -20 + 39. Let g(z) = -3*z + 13. Let p be g(0). Let m = c - p. What is the remainder when 9 is divided by m?
3
Suppose -15 = -p - 5*r, 4*p + 5*r - 44 = 16. Suppose 2*l - 86 = -5*n + p, 4*n - 5*l - 61 = 0. What is the remainder when 132 is divided by n?
18
Calculate the remainder when 900 is divided by ((-1)/8 + 0 - 173/(-1384)) + 186.
156
Suppose 1193 + 152 = 5*h. Calculate the remainder when h is divided by 56.
45
Let k = 39 + -21. Suppose -153*o = -144*o - 1215. Suppose -5*g = -o - 105. Calculate the remainder when g is divided by k.
12
Suppose -281 = 37*v - 1872. What is the remainder when v is divided by 2?
1
Let x be ((-12)/4)/(-1 + (-1)/(-4)). Let z be 192/21 - (x + 135/(-35)). Suppose -z*k = -11*k + 76. What is the remainder when 150 is divided by k?
36
Let d = 10747 + -2649. Calculate the remainder when d is divided by 270.
268
Suppose 6*v + 678 = 3*i, 5*i - 12*v = -8*v + 1124. Calculate the remainder when 8286 is divided by i.
222
Suppose 0*g = -4*g. Suppose g*f - 57 = -3*f. Suppose -2*u + f = -a - 0*a, 5*a - 15 = -u. What is the remainder when 77 is divided by u?
7
Calculate the remainder when 72 is divided by (-45)/(-2)*8/12.
12
Let u(w) = -11 + w + 20 + 2 + 15. Calculate the remainder when 37 is divided by u(-16).
7
Suppose s + 22 = 4*g + 61, 3*g - 102 = -3*s. Calculate the remainder when 13620/70 - (-15)/s is divided by 50.
45
Let l = -13585 - -13592. What is the remainder when 6/(-9) - 484/(-6) is divided by l?
3
Let s = 198 - 49. Suppose -2*x = 3*d + 36 - 187, 5*x - 409 = 3*d. Calculate the remainder when s is divided by x.
69
Let g(k) = 3*k**2 - 1. Let l be g(-1). Suppose 22*y + 24 = 26*y. Suppose 536 = y*m + l*m. What is the remainder when m is divided by 18?
13
Suppose -2992 = -11*v + 22424 + 39616. Calculate the remainder when v is divided by 91.
88
Let g = -35 - -41. Suppose s - 2*s = -g. Suppose s*t - 280 = -2*t. Calculate the remainder when t is divided by 19.
16
Suppose -60*h = -1003 + 87 - 1664. Let p be -1 + -1 - 1 - 4. Let v = 12 + p. What is the remainder when h is divided by v?
3
Let p(c) = c**2 - 17*c + 18. Let a(d) = -1. Let r(m) = 2*a(m) - p(m). Let t be r(16). Calculate the remainder when 14 is divided by t/1 + (-126)/(-9).
4
Let t be (4 + -1)*(11 + -10). Suppose -585 = t*f - 12*f. What is the remainder when 257 is divided by f?
62
Calculate the remainder when 369 is divided by 98/28*(-160)/(-14) + 6.
1
Let s = -36 + 64. Suppose -119*p + 697 = -78*p. Calculate the remainder when s is divided by p.
11
Suppose -20*f + 195 = -305. Suppose -724 = -7*c - 276. Calculate the remainder when c is divided by f.
14
Let k(u) = u**2 - 12*u - 312. Let h(j) = j**2 - 9*j - 311. Let f(w) = -4*h(w) + 5*k(w). Calculate the remainder when 56 is divided by f(34).
8
Let m = 6 + -3. Let t = -19 + 35. What is the remainder when (47*m)/((-12)/(-8)) is divided by t?
14
What is the remainder when ((-204)/(-10))/((-214)/(-7490)) is divided by 13?
12
Suppose 3 = -2*f + 7. Suppose 4*g + 2*h - 160 = 0, 0 = 5*h - 6*h + f. Let a = 64 - g. What is the remainder when 48 is divided by a?
23
Let q = 3195 + -3188. Let s(j) be the first derivative of j**4/4 - 13*j**3/3 + 6*j**2 + 4*j - 3. Calculate the remainder when q is divided by s(12).
3
Let l(v) = -6*v**2 - 140*v - 10. Suppose 0 = -11*i + 16*i - 880. What is the remainder when i is divided by l(-23)?
32
What is the remainder when 260 + 12*(-4)/6 is divided by ((-117)/65)/((3/(-110))/1)?
54
Let r(y) = -y**3 + 5*y**2 + 76*y + 60. What is the remainder when 561 is divided by r(11)?
51
Let f(j) = j**3 + 9*j**2 + 80*j + 911. What is the remainder when 129 is divided by f(-10)?
8
Let l = -8808 - -11070. Calculate the remainder when l is divided by 21.
15
Suppose -8*q = -4*q - 660. Suppose 0 = -4*x - 4*n + 156, 3*x + x - 5*n = q. Calculate the remainder when 12/(-150) - 3754/(-50) is divided by x.
35
What is the remainder when (2 - (-63568)/24)*(-2 - (-5 - 0)) is divided by 185?
182
Let h(j) = -6*j**2 + 142*j - 194. Calculate the remainder when h(18) is divided by 220.
198
Suppose 229 = 5*r + 2*i + 51, -5*r - i = -179. Suppose 30*s + r = 34*s. Suppose s*x - 35 = 37. Calculate the remainder when 39 is divided by x.
7
Suppose 0 = -2*u + 2, -2*t = t + 4*u - 538. What is the remainder when 5515 is divided by t?
175
Let g(a) = a**3 - 11*a**2 + 11*a - 6. Let m be g(10). Suppose -5*b + 249 = 3*j, m*b = j - b - 83. Calculate the remainder when j is divided by 15.
8
Suppose -14*w = 9*w - 9039. Suppose 5*s = -4*p + 254, 6*s - 2*s = p - 74. What is the remainder when w is divided by p?
63
Let n(w) = -37*w - 91. Let k be n(-3). Suppose 2*h - 28 = 4*b - 102, -h = b - k. Calculate the remainder when 243 is divided by b.
15
Let d(w) = -38*w - 853. Calculate the remainder when 543 is divided by d(-30).
256
Suppose 0 = -2*x + 5*a + 773, 3*x - 61*a - 1153 = -60*a. What is the remainder when x is divided by 5?
4
Let i(t) = -2*t**3 + 121*t**2 + 55*t + 430. Calculate the remainder when 700 is divided by i(61).
60
Suppose -27*g = -64*g + 2923. What is the remainder when 234 is divided by g?
76
Let p(y) = y**3 + 6*y**2 - 2*y + 5. Suppose 3*n - 5*s + 1746 = 0, 2*n - 9*s = -7*s - 1168. Let q = -564 - n. What is the remainder when p(-5) is divided by q?
17
Let l(z) = -181*z + 6. Let b be l(-2). Let j = 401 - b. Let n = 50 - -12. Calculate the remainder when n is divided by j.
29
Let z = 158 - 52. Le