-2*j - u = -174. What is the remainder when 55 is divided by j?
3
Let j(c) = -4*c**3 - 2*c**2 + 1. Let n be j(-1). Suppose 12*t - 15*t + 119 = 2*i, 3*t - n*i - 129 = 0. Calculate the remainder when 160 is divided by t.
37
Suppose 22*a - 1224 = 20*a. Calculate the remainder when (-10)/(-4)*a/85 is divided by 6.
0
Let h(o) = -6*o - 58. Suppose 5*z - 3*l = -51, z - 6*z - 54 = -2*l. Calculate the remainder when h(z) is divided by 6.
2
Let t(s) = 5*s**2 + 54*s - 1332. Calculate the remainder when t(20) is divided by 135.
128
Let c(g) = -g**3 - 2*g**2 + 3*g + 8. Suppose 98 = 5*w - 5*r + r, 2*r = -4. Calculate the remainder when c(-4) is divided by w.
10
Suppose 36*y - 18*y = 90. Suppose 5*x = -4*g - 241 + 1545, y*x = 4*g + 1296. What is the remainder when x is divided by 8?
4
Suppose -q - 4*d = -31, 2*q + d - 3*d = 62. Suppose 10 = -2*s, -l - 7*s + q = -3*s. What is the remainder when 150 is divided by l?
48
Let n(u) = 6*u**2 + u + 4. Let p(x) = -11*x**2 - x - 9. Let l(q) = -5*n(q) - 3*p(q). What is the remainder when l(5) is divided by 15?
12
Let t(h) = h**3 + h**2 - 4*h - 4. Let d be t(-1). What is the remainder when 70 is divided by -4 + 3 + d - (-1 + -22)?
4
Let m be ((-22)/(-5))/(3/(-15)). Let y = m - -35. Suppose -27 = 19*v - 103. Calculate the remainder when y is divided by v.
1
Let g = -5149 + 9058. Calculate the remainder when g is divided by 122.
5
Let b be 2/(-6) - 187*11/(-33). Suppose 4*c - b = 94. What is the remainder when c is divided by 15?
9
What is the remainder when (-4167)/(-5) + (27 - 30)*4/30 is divided by 120?
113
Suppose 0 = 50*n - 4337 - 10413. Calculate the remainder when n is divided by 125.
45
Suppose -18*h + 3 = 21. Calculate the remainder when h + (10/45 - (-1648)/36) is divided by 24.
21
Suppose 71*h - 76*h + 166 = -3*k, 0 = -4*k - 28. Calculate the remainder when 874 is divided by h.
4
Let w = 2135 - 847. Calculate the remainder when 222 is divided by w/21*((-1)/4 + 1).
38
Let r = 127 - 84. Calculate the remainder when 4772/28 + 21/(-49) is divided by r.
41
Calculate the remainder when (-474)/((-24)/(-36)*-3) is divided by 5.
2
Suppose -184 = -2*r - 5*p, 314 = 3*r - 0*p - 2*p. Let t(z) = -z**2 + 3*z + 54. Suppose 12*a + 149 = 233. Calculate the remainder when r is divided by t(a).
24
Suppose 5*t + 45*t = 26100. Suppose -417 = -9*i + 5*i - 3*f, 5*i - t = -4*f. Calculate the remainder when 813 is divided by i.
99
Let y = 103 + 57. Calculate the remainder when (24/10)/(12/y) is divided by (52/12)/(3/9).
6
Let x = 162513 + -162493. Calculate the remainder when (0 + -6)/((-2)/21) is divided by x.
3
Suppose -5*x = -4*m + 30, 0*m = -2*m - 5*x. Let u(o) = -10*o**2 - 19*o**2 + 2*o + 45*o**2 - m - o**3. What is the remainder when u(16) is divided by 14?
13
Let j(f) = f**3 - 29*f**2 + 59*f - 6. Let n = 249 - 222. Let u(t) = -t**3 + 3*t**2 + 4*t + 1. Calculate the remainder when j(n) is divided by u(3).
12
Suppose 10428 - 424 = 69*z - 8*z. What is the remainder when z is divided by 53?
5
Let d(t) = -t**3 + 56*t**2 - 568*t - 31. What is the remainder when d(41) is divided by 34?
26
Suppose -5*c + 3*v = -0*v + 10, 3*c + 7 = 2*v. Let l(j) = 2*j + 15. What is the remainder when 80 is divided by l(c)?
12
Suppose 5*g - 15148 - 5057 = 5*a, -4*g - 3*a + 16206 = 0. What is the remainder when g is divided by 54?
51
Let u = -2887 - -3232. Calculate the remainder when u is divided by 16.
9
Suppose t = -14*z + 2703, -t + 84 = z - 97. Let p = 307 + -209. What is the remainder when z is divided by p?
96
Calculate the remainder when 11086 is divided by (11 - -12 - 17) + (167 - (-6 - -3)).
174
Let m(d) = 2*d**2 + 6*d - 27. Suppose 0 = 461*r - 464*r + 9. What is the remainder when 86 is divided by m(r)?
5
Calculate the remainder when (4 - 1)*55/3 is divided by ((-224)/(-49))/((-8)/(-28)).
7
What is the remainder when 6 + 0 + (-390942)/(-43 + 6) is divided by 23?
15
Let o = 10277 - 3471. What is the remainder when (-1)/5 + o/205 is divided by 12?
9
Suppose 552 = 4*n - 3*h, 0 = -2*n - 3*h + 95 + 163. Calculate the remainder when n is divided by 84/45 - 2 - (-364)/30.
3
Suppose 193*b - 171*b = 572. Calculate the remainder when 1057 is divided by b.
17
Let q(h) = h**3 - h**2 + 3*h - 1. Let j(i) = 22*i**2 + 37*i - 37. Calculate the remainder when q(4) is divided by j(1).
15
Suppose 14*d = 3*j + 18*d - 106, 0 = 4*d + 8. What is the remainder when j is divided by 15?
8
Suppose 0 = 5*s + 10, -2*k - 5*s + 3880 + 2828 = 0. Calculate the remainder when k is divided by 58.
53
Suppose -12*f + 11536 = 2*f. Suppose 0 = -11*z + 639 + f. What is the remainder when z is divided by 35?
28
Let z be (13 - -120)*(-4 - 2). Let n = -737 - z. Calculate the remainder when 118 is divided by n.
57
Let p = -264 + 264. Suppose -2*h + 3*r + 51 = p, 6*h = 2*h - 5*r + 69. Calculate the remainder when h is divided by 12.
9
Suppose 2*d - 578 = 5*n + 1450, 0 = 4*d + 3*n - 4082. What is the remainder when d is divided by 146?
143
Suppose -5*v - 3*d + 210 = 0, -5*v = -4*v + d - 44. Calculate the remainder when v is divided by 2/(-19) - 804/(-57).
11
Let j = -15 - -33. Suppose 4*q - 344 = -10*a, -146*q = -3*a - 149*q + 123. What is the remainder when a is divided by j?
12
Suppose -j + 50 + 29 = t, 3*j = 4*t + 216. Suppose -73*n - 168 = -j*n. Suppose -n = 3*z - 251. Calculate the remainder when z is divided by 34.
31
Suppose d = u - 6, -3*u - 4*d + 24 = -8. Suppose -53 = -u*w + 107. What is the remainder when 74 is divided by w?
14
Suppose -z - 16 = -r + 10, 3*r + 4*z = 106. Calculate the remainder when 91 + 16*(0 - 8/32) is divided by r.
27
Suppose h - 7*u = -4*u - 1, 4*u = -4*h + 28. Let w be (-2)/(27/(-18) + h/2). What is the remainder when 18 is divided by (-14 + -14)*w/8?
4
Let h(s) = -s**3 + 3*s**2 + 5*s - 2. Let w be h(4). Suppose w*m - 1089 = -9*m. Calculate the remainder when m is divided by 10.
9
Let i be (-1 - 1)*(-60 - -59). Suppose 3*v - 3 = 0, v - 74 = -i*d - 3*v. What is the remainder when 62 is divided by d?
27
Suppose -7*z - 779 = -2165. Suppose -z*p = -194*p - 332. Calculate the remainder when p is divided by 44.
39
Let s(r) be the second derivative of 7*r**4/3 + 10*r**3 + r**2 + 8*r + 1. What is the remainder when s(-4) is divided by 70?
0
Let d(j) = -j**2 - 19*j - 23. Suppose 0 = -54*v + 43*v - 132. What is the remainder when d(v) is divided by 9?
7
Suppose 46*b - 90*b = -78892. Calculate the remainder when b is divided by 69.
68
Suppose -57*i + 56*i - o + 94 = 0, -4*i + 4*o + 312 = 0. What is the remainder when i is divided by 65?
21
Suppose -199 - 282 = -2*s - 3*g, -s - 5*g + 251 = 0. Let y = s + -166. Suppose y*m - 404 = 66*m. Calculate the remainder when m is divided by 34.
33
Let v(k) = -k**2 + 6*k - 7. What is the remainder when 987/49 + 7/(-49) is divided by v(3)?
0
Calculate the remainder when 1310 + -1 - (3 + -5) is divided by 32.
31
Let h(w) = w**2 - 3*w + 17. Let b(z) = z**2 + 8*z + 2. Let a = 122 - 129. Let s be b(a). What is the remainder when h(s) is divided by 15?
12
Let c(y) = -543*y**3 - 15*y - 18. Calculate the remainder when c(-2) is divided by 1450.
6
Suppose -n + 3*n - 270 = k, 0 = 5*n - 4*k - 669. Suppose -5*m + 55 = 1510*f - 1513*f, -2*f + 33 = 3*m. Calculate the remainder when n is divided by m.
5
Let c(w) = -w + 7. Suppose -2*m = 2*p + 38, -m - 3*m - 78 = 5*p. Let n be c(m). Suppose -n = -9*v + 7*v. What is the remainder when 44 is divided by v?
8
Let o = -1 + 10. Let q = -3 + o. What is the remainder when (410/20 + -12)*2 is divided by q?
5
Let q = 3008 - 2475. What is the remainder when q is divided by 182?
169
Suppose 2*g + 221 = -0*c + c, 5*c + 3*g - 1183 = 0. What is the remainder when c is divided by 31?
16
What is the remainder when (-220 - 0)*(-518)/148 is divided by 59?
3
Let c = 98 - 79. Suppose -11*j + 448 - 184 = 0. What is the remainder when j is divided by c?
5
Let s(k) = 125*k**2 + 8*k + 11. Let b be s(-2). Let u = b - 308. What is the remainder when u is divided by 19?
16
Suppose -5*p - 4*d + 5463 = 0, 0*p - 6*d + 5467 = 5*p. Calculate the remainder when p is divided by 73.
69
Suppose 0 = 2*y - 2*v, -4*y - 4*v = -0*y. Suppose -23*x + 22*x + 12 = y. What is the remainder when 59 is divided by x?
11
Suppose 6*a - 624 = 8*a - 8*a. Suppose -4*d + d + 54 = 0. Calculate the remainder when a is divided by d.
14
Suppose -2635*c 