13
Suppose -2*b + 1296 = 2*u, -4*b + 2595 = 363*u - 360*u. What is the remainder when b is divided by 65?
1
Let n(i) = i - 19. Let r be n(18). Let g be 25 - r*(4 + 0). Suppose m - g = -5. What is the remainder when 91 is divided by m?
19
Let h(j) = 6*j**2 - 2*j + 1. Let a be h(-7). Suppose 4*v - a = 187. Calculate the remainder when v is divided by (-15)/(-3) - 6/4*(-160)/15.
19
Calculate the remainder when (-10)/(-8*1*(-7)/28) + 5563 is divided by 20.
18
Let y = -4205 - -4596. Calculate the remainder when 394 is divided by y.
3
Let q = 15 - -20. Suppose -p + 20 = -4*u - 85, -6*p + 5*u = -554. Calculate the remainder when p is divided by q.
19
Suppose -x + 13 = -t, 9 = 2*x + 2*t - 17. Let o(l) = l**2 - 16*l + 6. Let b be o(14). What is the remainder when (-2106)/(-33) + (-4)/b is divided by x?
12
Let m(y) = 15*y + 71 - 24 - 15*y + 15 + 7*y. What is the remainder when m(-3) is divided by 21?
20
Suppose -12*f - 2*f = 1054 - 3364. Calculate the remainder when 7422 is divided by f.
162
Let b = 6983 + -6346. What is the remainder when b is divided by 36?
25
Let z = 35 + -50. Let w be (9/z)/(2/(-10)). Suppose -w*m - d = -64, -d + 42 = 2*m - 0*d. What is the remainder when 153 is divided by m?
21
Suppose g - 30 = 3*v, 5*g - v = -22 + 200. Let h = -20 + g. What is the remainder when 23 is divided by h?
7
Let v = -12196 + 12436. What is the remainder when v is divided by 227?
13
Suppose 12*u + 71*u = -55*u + 4416. What is the remainder when 10845 is divided by u?
29
Suppose -550 = -c - 218. Let u = c + -256. What is the remainder when u is divided by 20?
16
Suppose 3*g = -a + 4570, 138*g - 143*g = -4*a - 7628. Calculate the remainder when (-9)/((-10686)/g + 7) is divided by 17.
14
Let h(s) = -s**3 + 4*s**2 - 3*s - 1. Let l be h(3). Let z be (10 + -2 - 12) + 1 + -17. Let d = l - z. Calculate the remainder when 30 is divided by d.
11
Let r(h) = -h**3 - 35*h**2 - 5*h - 98. Let x be r(-35). Suppose -3*q + 44 = -4*q. Let w = q + x. Calculate the remainder when w is divided by 12.
9
Suppose -2*y + 33 = 3*y + 4*w, 2*y + 4*w = 18. Suppose 0 = y*h - 6*h + 5*a + 63, -5*a = -10. What is the remainder when h is divided by 39?
34
Let h = 52 + -24. Suppose 4*m = -2 + 10. Let i(v) = 9*v. What is the remainder when h is divided by i(m)?
10
Suppose 4*w + 141 = 179 + 238. What is the remainder when 144 is divided by w?
6
What is the remainder when (2/3 - 1)*(41 - 111251)/10 is divided by 372?
359
Let h be (-15)/54*-6 + 2/(-3). Let l be ((-428)/(-6))/(h/(0 - 3)). Let p = 351 + l. Calculate the remainder when p is divided by 23.
22
Suppose 5 = -6*d + 8*d - 139. What is the remainder when 160 is divided by d?
16
Let x(f) = f**3 + 10*f**2 - 29*f - 9. What is the remainder when x(-12) is divided by 40?
11
Let s = 76 + -37. Calculate the remainder when s is divided by 68/(-153) + 579/27.
18
Suppose -5*s = 3*m - 438, 4*s - 81 = 4*m - 729. Calculate the remainder when 701 is divided by m.
77
Let h = -99 - -102. Suppose -1371 = -h*z - 3*q, -3*z - 2*q + 3*q = -1355. What is the remainder when z is divided by 12?
9
Suppose -50*y + 46*y = -12. Let z(c) = 17*c - 1. What is the remainder when z(2) is divided by (15/y - 0) + 2?
5
Let l = 67 - 154. Let c = l + 98. What is the remainder when c is divided by (26/(-8) - -4)*4?
2
What is the remainder when 792 is divided by 16 - (9/(-6))/((-3)/(-70)*7)?
15
Suppose z - 1 - 45 = 0. Suppose 2*o - 10*t - 74 = -4*t, -o = -4*t - 40. What is the remainder when z is divided by o?
18
Let q = 42714 + -42627. What is the remainder when 1187 is divided by q?
56
Suppose 5*i - 99 = -39. What is the remainder when (1894/(-8))/(((-45)/i)/15) is divided by 95?
92
Let b(j) = -3*j**2 + 108*j + 70. Let v be b(36). Let m(s) = -14*s**3 + 2*s**2 - 1. Calculate the remainder when (v - (-7 - -4))*1 is divided by m(-1).
13
Let f(j) = 2351*j - 2138. Calculate the remainder when f(3) is divided by 149.
147
Suppose -9*w + 11*w - 2 = 0, -4*k - 2*w = -90. Calculate the remainder when 5254/22 + -1 + 4/k is divided by 61.
55
Calculate the remainder when 3718 is divided by (-66)/(-4)*(-270)/(-81) - -5.
58
Suppose 2332 = -15*u + 37*u. What is the remainder when 619 is divided by u?
89
Suppose -2*h - 2*w = -414, -4*h - 2*w + 303 = -535. Suppose -5*x = 0, 4*u - x - 2*x = -488. Let f = u + h. What is the remainder when f is divided by 23?
21
Let m be ((-26)/10 + 2)/(4/20). Calculate the remainder when (-3700)/(-22) + 31/11 + m is divided by 57.
54
Suppose 5*x = 5*u - 414 - 361, -3*u + x + 473 = 0. Calculate the remainder when 358 is divided by u.
40
Suppose -5*l + 145*y + 1660 = 140*y, -25 = 5*y. Calculate the remainder when l is divided by 16.
7
Let l(z) = 108*z + 1029. Calculate the remainder when 284 is divided by l(-9).
56
Let d be -1 + (1 - 4 - 1). Let r = d - -39. Suppose f = 265*o - 261*o - 389, -o = 5*f - 113. Calculate the remainder when o is divided by r.
30
Let u(p) = -47*p + 4434. What is the remainder when u(41) is divided by 132?
131
Let q = 334 - 239. Let r = -65 + q. What is the remainder when r is divided by 16?
14
Suppose -2*i = 2*u - 56, -5*i + 57 = 2*u - 2*i. Let q = 94224 + -94090. Calculate the remainder when q is divided by u.
26
Let d = -25434 + 25465. Calculate the remainder when 561 is divided by d.
3
Let n be 4/(-8)*(1 - 45). Let t = -11 + n. Let c(v) = -5*v**2 + 97*v - 87. What is the remainder when c(18) is divided by t?
6
Suppose -199*v - 15*v + 86242 = 0. What is the remainder when v is divided by 135?
133
Suppose 27 + 63 = 18*j. Suppose 0 = -j*q - 3*q + 1600. Calculate the remainder when q is divided by 51.
47
Let w be (-22)/(-77) - (-26)/7. Suppose 209 = 3*k + 2*k + 4*s, -w*k = -s - 163. Let n = k - 8. Calculate the remainder when 229 is divided by n.
31
Suppose k + n - 14 = 0, -18*k + 46 = -13*k - n. Calculate the remainder when 3331 is divided by k.
1
Let x be 5 - (-7 - -4 - 1). Suppose 0 = 6*z - 3*z + x. What is the remainder when 78 is divided by 232/12 - 2/z?
18
Suppose 471 = 139*c + 54. Calculate the remainder when 221 is divided by c.
2
Let z(l) = -10*l - 73. Let n be z(-16). Suppose -n*i + 92*i = 5*p - 1985, -i = 5*p - 1979. What is the remainder when p is divided by 10?
6
Suppose -n - d - 73 = -0*d, -3*d = -6. Let p = n + 50. What is the remainder when 57 is divided by p/(-20)*1*16?
17
Calculate the remainder when (0 - 2)/(-3*19/93594) is divided by 820.
4
Suppose -29*r + 29850 + 22988 = 0. What is the remainder when r is divided by 25?
22
Let q(p) = -156 - 63 - 34 - 29 - 7*p - 34*p. Calculate the remainder when q(-8) is divided by 16.
14
Suppose 287*u - 96696 = 275*u - 17028. Calculate the remainder when u is divided by 82.
79
Let y(r) = -46*r**3 - 5*r**2 - 132*r + 8. What is the remainder when y(-6) is divided by 23?
22
Let z = -306 + 311. Suppose -z*f + 3*p = -142, -2*f + 4*p + 46 = -22. Calculate the remainder when 127 is divided by f.
23
Let s = -15988 + 24213. What is the remainder when s is divided by 22?
19
Let r(c) = -202*c - 785. What is the remainder when 1793 is divided by r(-5)?
218
Let t(q) be the first derivative of -q**4/4 + 7*q**3/3 - 7*q**2/2 + 21*q + 142. Calculate the remainder when t(6) is divided by 8.
7
Let o = -2157 + 2168. Suppose 404 = 4*x + 64. What is the remainder when x is divided by o?
8
Suppose 296 + 3519 = 109*a. Calculate the remainder when 6225 is divided by a.
30
Let k(h) = -h - 9. Let w be k(-22). Suppose 22*i - w*i - 936 = 0. Calculate the remainder when i is divided by 15.
14
Let x(y) = -2*y**3 + 21*y**2 - 6*y - 36. Let l be x(10). Suppose -m + 9*k - 6*k + 155 = 0, 3*m + l*k = 491. What is the remainder when m is divided by 54?
53
Suppose 2*m - 653 = 807. Let z = 738 - m. Calculate the remainder when (66/8)/(3/12) is divided by z.
1
Let r be 22 + -18 + (3 - 6 - -199). Calculate the remainder when r/80*(0 - -100) is divided by 42.
40
Let u = 15214 + -15170. Let k be -2*(-4)/((-24)/(-15)). Suppose 0 = -k*d - 3*c + 36, -5*d - 2*c = -0*c - 39. What is the remainder when u is divided by d?
8
Let x = -34 - -76. Let v = x + 2. Suppose 2*u + 0*u + 647 = 5*n, -266 = -2*n - u. What is the remainder when n is divided by v?
43
What is the remainder when 7 + -7 - -1941 - (-4 + 0) is divided by 78?
73
Suppose u - t + 5 = -0*u, -3*t + 7 = 5*u. Let c = 113 + -42. Calculate the remainder when c is divided by 