0*h = q*h - 134. Suppose 3*i + 2*i - 121 = 3*u, -27 = -i + 2*u. What is the remainder when h is divided by i?
21
Let o(a) = 92*a - 1675. What is the remainder when o(23) is divided by 74?
71
Suppose -655588 = -53*u + 27*u - 36*u. Calculate the remainder when u is divided by 43.
39
Suppose -34*b + 23*b = -5742. Let c = 577 - b. Calculate the remainder when 97 is divided by c.
42
Let f = 84 + -82. Let h(i) = -61*i + 8*i**f - 5 + 3 + 63*i + 10*i**2. What is the remainder when h(1) is divided by 10?
8
Suppose l = 3 + 1. Suppose 7*z - 59 = 60. What is the remainder when 27 - (l/(-2) - -1) is divided by z?
11
Let q(y) = y**2 + 3*y + 105. Let s be (3/(-15)*16)/((-9)/(-45)). What is the remainder when q(s) is divided by 80?
73
Suppose -594 = 345*w - 351*w. Calculate the remainder when 517 is divided by w.
22
Suppose 20*n + 1175 - 634 = 781. What is the remainder when 1329 is divided by n?
9
Suppose -7*o + 392 = 105. Suppose -2*n = -3*f - 22, 0 = -5*n - 3*f + 14 + 20. Suppose n*i - 10*i + 12 = 0. Calculate the remainder when o is divided by i.
5
Suppose -6*v + 105 = -n, 8 = -5*n + 23. Calculate the remainder when 83 is divided by v.
11
Let c(f) = -2*f + 68. Let n be c(20). Suppose -37 - 17 = -3*a - p, 2*a - n = 2*p. What is the remainder when 65 is divided by a?
14
Let h(y) = -49*y**3 + 4*y**2 + 5*y + 1. Let r be h(-1). Suppose -4*a = r - 209. Calculate the remainder when 238 is divided by a.
38
Suppose -b - 38 = -41. Suppose 0 = -4*f - 2*q + 73 + 223, -b*q + 296 = 4*f. Calculate the remainder when f is divided by (-5)/(-1 + (-21)/(-24)).
34
Let l(k) = -k**3 - 29*k**2 - 17*k + 186. Calculate the remainder when l(-29) is divided by 31.
28
Suppose -15*s - 985 = 9*s - 2593. Calculate the remainder when 1204 is divided by s.
65
Suppose -2*h - 2*h - 3*y + 36 = 0, -26 = -3*h - 2*y. Let u(t) = 6*t**2 + 0*t**2 + t + h - 5 - 2*t**2. Calculate the remainder when 22 is divided by u(-2).
7
Suppose -27 = -2*b - b. Let a be (-6 + (-63)/(-9))*4/2. Calculate the remainder when ((-51)/a)/(-3*6/36) is divided by b.
6
Let g(f) be the third derivative of -f**5/60 - f**4/24 + 4*f**3/3 + 2*f**2 - 9*f. Calculate the remainder when (12/(-10))/(2/(-10)) is divided by g(-3).
0
Suppose -5*k = -4*f + 87, 27*f = 31*f - 3*k - 73. Calculate the remainder when 3691 is divided by f.
12
Let p = -5967 - -6079. Calculate the remainder when 12093 is divided by p.
109
Suppose -18 = -3*z + 2*g + 32, 3*z - 52 = 4*g. What is the remainder when 2303 is divided by z?
15
Suppose 5*m = -3*d + 42, -4*d + 8*m = 4*m - 88. Let k = 11 + 83. What is the remainder when k is divided by d?
18
Suppose -62*o + 310 = -57*o - 3*t, -o = 5*t - 62. Calculate the remainder when 3347 is divided by o.
61
Suppose 4*j - 2*n = -746, 759 = -4*j - 2*n + 25. Let s = j - -205. What is the remainder when s is divided by 8?
4
Let h(n) = 35*n**3 - 4*n**2 - n - 30. Let p be h(6). Suppose 0 = 12*k + 48*k - p. What is the remainder when k is divided by 32?
27
Suppose 26 = 5*j - 74. Suppose -2*x + 48 = 4*v, 2*v - 15*x + 14*x - 20 = 0. What is the remainder when j is divided by v?
9
Let w(u) = 12*u**2 + 41*u - 114. What is the remainder when 469 is divided by w(3)?
1
What is the remainder when (32020/40)/((-2)/4 + 1) is divided by 9?
8
Let z = 4188 - 2815. Let r = 1376 - z. Let q(o) = o - 1. Calculate the remainder when q(4) is divided by r.
0
Calculate the remainder when 1579 is divided by ((-77)/5 + 16)*(-1 - (-58)/3).
6
Let m = -156 - -216. Calculate the remainder when 1230 is divided by m.
30
Suppose -4*x = -5*t - 1494 - 846, -3*x - t + 1774 = 0. What is the remainder when x is divided by 99?
95
Suppose -15*t = -12*t + 150. Let i = t - -54. Calculate the remainder when (-1070)/(-50) - (-2)/(-5) is divided by i.
1
Let j(o) = -o**3 + 13*o**2 - o + 5. Let c be j(15). Let b = -283 - c. Calculate the remainder when b is divided by 45.
42
Suppose -9985 = -20*j + 9815. What is the remainder when 1996 is divided by j?
16
Let y = -994 + 998. Suppose -3*n + 26 = 5*z + 3, -n + 4*z + 2 = 0. Suppose n*s - 2*s = 4. Calculate the remainder when y is divided by s.
0
Suppose 4*u - 3*j + 6*j - 456 = 0, -u = -5*j - 91. What is the remainder when 329 is divided by u?
107
Suppose -21 - 27 = -6*u. Suppose -m + u = -2*i, 0*m + i = -3*m + 17. What is the remainder when 46 is divided by m?
4
Let n(s) = -45*s - 2033. Calculate the remainder when 154 is divided by n(-47).
72
Let p be 0 + -1 + 2 + 1. Suppose -5*r + 99 = -p*r + 3*w, 10 = 5*w. Let g = 30678 - 30557. Calculate the remainder when g is divided by r.
28
Calculate the remainder when 30631/20 - 5/(-20) - 4/5 is divided by 43.
26
Let t be (27 + -29)/(1*-1). What is the remainder when 158 is divided by -5 + t - (-19 + (4 - 6))?
14
Suppose -g - 5*j + 7*j = -723, 6*g = j + 4261. Calculate the remainder when g is divided by 69.
19
Suppose 2*u = -u + 75. Let j be 1*-864*(2 + 24/(-9)). Suppose 4*d - 10*d = -j. What is the remainder when d is divided by u?
21
Suppose -2*q = -r + 308, 9 = 4*q - 11. Calculate the remainder when r is divided by 91.
45
Let q = -913 - -1032. Calculate the remainder when q is divided by 41.
37
Let f = 69 + -46. What is the remainder when (3/2)/((-62730)/15696 - -12 - 8) is divided by f?
22
Suppose -9*q + 11*q - 200 = 0. Let i = q + -51. Calculate the remainder when 242 is divided by i.
46
Suppose 410 = 4*s + s. Let j(o) = -s*o**2 - 13*o + 15*o**3 - 16*o**3 + 8 + 89*o**2. What is the remainder when 30 is divided by j(4)?
2
Suppose o + 2*k = 35, 14*o = 11*o - 5*k + 91. Let a(q) = 49*q - 1. What is the remainder when a(2) is divided by o?
6
Suppose -5*x - 5*t = -12775, -4*x - 34*t + 35*t = -10235. What is the remainder when x is divided by 30?
8
Suppose -2*u + 73 + 55 = -2*v, -314 = -5*u - v. Suppose -u*h + 57*h = -336. What is the remainder when h is divided by 13?
4
Suppose 4*i - 19*i = 13740. Calculate the remainder when 291 is divided by 8/(-6) - 1/(12/i).
66
Let d be (-22)/4 - (-5 - 18/(-4)). Suppose 3*o + 2*j = 38, -4*o + 0*o + 4*j + 64 = 0. What is the remainder when o is divided by -6*d/(-10) - -11?
6
Calculate the remainder when 2073 is divided by 1/3 + 136 + -115 - (-5)/3.
3
Suppose 5*l + 10 = 5. Let t(f) = 37*f**2 - 6*f - 6. Calculate the remainder when t(-1) is divided by (l + 0/2)*-10.
7
Suppose 0 = 194*j - 209*j + 4530. Calculate the remainder when j is divided by 24.
14
Suppose a + 31 - 6 = 0. Let k = -137 + 146. What is the remainder when a/(-2) - (-3)/2 is divided by k?
5
Let s = -4362 - -5293. What is the remainder when s is divided by 103?
4
Calculate the remainder when 14/(-8) - 13393/(-236) is divided by 7.
6
Suppose 14*n = 181 + 141. Let b = -115 + 247. Calculate the remainder when b is divided by n.
17
Suppose 0 = -4*s - s + 65. Suppose -4*l = -3*b + 11, 33 = 2*l + 4*b + 11. What is the remainder when (8 + -10)*((-30)/3 - l) is divided by s?
9
Let w(h) be the first derivative of 4*h**2 - 6*h + 24. Let x be w(13). Let n = -72 + x. What is the remainder when 49 is divided by n?
23
Suppose 9*c - 3507 = 2*c. Suppose -9*k + 399 = -c. Calculate the remainder when k is divided by 13.
9
Let a = 328 + -188. Suppose -75*s + a = -61*s. Calculate the remainder when 15 is divided by s.
5
What is the remainder when 691 is divided by -9 - (-19 - (125 + -16))?
96
Let v(p) = 9*p - 33. Let d be v(4). Suppose 3*h - 156 = -3*s, 5*s - d*h - 109 = 3*s. What is the remainder when s is divided by 14?
11
Suppose -9 = -3*g, 4*i + 9 = i + 5*g. Suppose -5 + 132 = 4*a - 5*m, -a + 34 = -i*m. Let y = a - 5. What is the remainder when 81 is divided by y?
12
Let t be (66/11)/((-3)/((-369)/2)). Suppose -f - 5*m + 19 + 42 = 0, 0 = -4*f + 5*m + t. What is the remainder when f is divided by 25?
11
Let f = -12257 + 12379. What is the remainder when 384 is divided by f?
18
Suppose 0 = -0*q + 2*q - 166. Suppose -9*h = -16 - q. Suppose d + m - 6 = 0, 0*m = -2*d - m + 13. Calculate the remainder when h is divided by d.
4
Suppose 33*h + 40*h = 425298. What is the remainder when h is divided by 1934?
24
Let v = 4782 - 4708. Calculate the remainder when 368 is divided by v.
72
Suppose 49*q - 13*q + 42*q - 23478 = 0. Calculate the remainder when q is divided by 162.
139
Let o(j) = -2*j**2 - 3*j - 16. Let x be o(-4). Let f = -22 - x. Calculate the remainder when f/3*(20 + -11) is divided by 9.
6
