 is divided by 75.
18
Let s be (186 - 49) + -5*1. Suppose -10*v = v - s. What is the remainder when 1677 is divided by v?
9
Suppose 9*n = -0*n - 810. Let d = 116 + n. Calculate the remainder when 48 is divided by d.
22
Let z(o) be the first derivative of -o**3/3 + 11*o**2/2 - 14*o - 74. What is the remainder when 123 is divided by z(7)?
11
Suppose 5*r - 3*r = r. Let u(s) = 4*s**2 + 2*s + 2. Let p(z) = -z**2 - 4*z + 3. What is the remainder when p(-4) is divided by u(r)?
1
Let u(d) = d**3 - 14*d**2 + 20*d - 153. Calculate the remainder when 2155 is divided by u(14).
123
Let f = -907 - -1158. What is the remainder when f is divided by 74?
29
Let v = -19109 - -19174. What is the remainder when 17613 is divided by v?
63
Suppose 303*z - 388*z + 2608310 = 0. Calculate the remainder when z is divided by 137.
135
Let p be 50/(-275)*33/(-6). Suppose 59 = 3*u - p. Calculate the remainder when 97 is divided by u.
17
Suppose -2*j = -37*o + 33*o + 2198, 0 = 3*j + 3. What is the remainder when o is divided by 57?
36
Let f(u) be the second derivative of -u**3/3 - 3*u**2/2 + 4*u. Let h be f(-4). Let a(o) = o**2 - 2*o + 7. Calculate the remainder when a(h) is divided by 13.
9
Let o(k) be the second derivative of -k**5/10 - k**4/4 + k**3/2 + 3*k**2/2 + 25*k. What is the remainder when o(-3) is divided by 17?
4
Let d be 4 + (5 + -5)/2. Suppose y = -d, -7*y = -2*j - 3*y + 34. Suppose -6*q + 183 = -3*q. What is the remainder when q is divided by j?
7
Let q be 177/(-4) + -4*(-4)/64. Let a = 52 + q. Suppose -a = -2*x + 4*r, 2*x + 5*r = -3*x + 65. What is the remainder when 48 is divided by x?
8
Let g(q) = 274*q - 3759. Calculate the remainder when g(16) is divided by 302.
21
Let z(a) = -13*a**3 + 29*a**2 + 28*a. What is the remainder when 1874 is divided by z(-1)?
12
Let k be -2 + -14*(-6)/12. Suppose -3*y - 2*u + 36 = 0, -6*y + k*u = -y - 85. Calculate the remainder when 36 is divided by y.
8
Let l = 9 + 38. Suppose -l = -2*k - i, 2*i + 0*i = 2*k - 56. What is the remainder when (-194)/(-4) + -1*6/(-12) is divided by k?
24
Suppose -4*q - 7 + 11 = 0. Let i(d) = -d**3 + d**2 + 7*d + 1. Let b be i(3). Calculate the remainder when 1/(q/b) - -83 is divided by 22.
21
Suppose -62*d = 17*d + 63*d - 13632. Calculate the remainder when 9116 is divided by d.
92
Suppose -347 = -3*s - s - 3*w, -3 = w. Calculate the remainder when s is divided by 1820/385 - ((-36)/11 - -3).
4
Let p be (2 + (-8)/(-6))*3/2. Suppose -4*y + 9*y = x + 75, 0 = p*y - 5*x - 95. What is the remainder when 129 is divided by (-4896)/(-112) + 4/y?
41
Suppose 7*u - o - 198 = 6*u, 2*u - 402 = -o. Calculate the remainder when u is divided by 46.
16
Let v(z) = -29*z - 126. Let u be v(-10). Let x = -92 + u. Calculate the remainder when x is divided by 19.
15
Let u(m) = -85*m**2 + 4*m - 3. Let b be ((-4)/5)/((-2)/15*3). Let o be u(b). Let a = -224 - o. What is the remainder when a is divided by 57?
54
Let x be (-19 - 735) + -3 + 5. Let j = 765 + x. What is the remainder when 120 is divided by j?
3
What is the remainder when (-3 - (-9 + 36))/(-2 + 1) is divided by 10?
0
Suppose -29878*h + 127850 = -29853*h. What is the remainder when h is divided by 64?
58
Suppose 4*z + 2*k + 3*k = -430, k - 103 = z. Let d = z + 110. What is the remainder when 82 is divided by d?
2
Let t = 458 + -445. Let l = -21 - -39. Suppose 4*a - 162 + l = 0. What is the remainder when a is divided by t?
10
Suppose p - 70 = 2*r, 6*r + 135 = 2*p + 3*r. Let l be (-124)/(-10) + p/100. Let x = l + -11. What is the remainder when 9 is divided by x?
1
Suppose 0 = 2*p - 5*d + 48, p - 8 + 31 = 2*d. Let a(g) = -8*g - 76. What is the remainder when a(p) is divided by 28?
20
Let v = -28947 - -28953. Let d = 73 + -46. Suppose -4*w + 3*w + d = 0. Calculate the remainder when w is divided by v.
3
Let b = 90 + -79. Suppose -2*k = -5*k - 4*s + 27, 0 = k + s - 8. Suppose 2*l - l = 2*r - 154, 3*r - 245 = k*l. Calculate the remainder when r is divided by b.
9
Suppose 2*c + 3*c = -100. Let a = 977 - 980. What is the remainder when (c/8)/(a/36) is divided by 16?
14
Suppose 13*d + 84 = -46. Calculate the remainder when 96 - ((-9)/3 - d) is divided by 33.
23
Suppose 57*b + 91*b = 2220. What is the remainder when 2763/21 - (-3)/7 is divided by b?
12
Let n(k) = 4*k**3 + 3*k**2 - 21*k + 2. Calculate the remainder when 1191 is divided by n(2).
3
Suppose 12 = 3*s, z + 3*s - 72 = 2*z. Let l = z + 62. Suppose 0 = -4*y + 2 + 2. Calculate the remainder when l is divided by y.
0
Let h be 1168/80 + (-4)/(-10). Suppose -h*x - 780 + 2640 = 0. What is the remainder when x is divided by 18?
16
Let c(s) = -95*s + 1. Let h = 69207 + -69158. What is the remainder when c(-1) is divided by h?
47
Let s(p) = 24*p + 139. Let o be (-184)/32*(3 + 1). Let q = o - -35. What is the remainder when s(-4) is divided by q?
7
Suppose 0 = -n, -15*n + 16*n = -2*j + 4. Calculate the remainder when 128 is divided by ((-21)/(-18)*j)/((-3)/(-9)).
2
Let d(o) = -o**3 - 26*o**2 - 165*o - 47. What is the remainder when 2638 is divided by d(-16)?
31
Let y(d) be the first derivative of 7*d**2 - 196*d + 19. Calculate the remainder when 80 is divided by y(17).
38
Suppose 7*c + 42 = 140. Suppose -2035 = -c*m - 453. What is the remainder when m is divided by 40?
33
Let n = -2158 - -2287. Calculate the remainder when 222 is divided by n.
93
Suppose 2*b + 52 = -3*i - 58, 4*i + 110 = -2*b. Let v = 5 - b. What is the remainder when v is divided by (-3)/((-26)/(-32) + -1)?
12
Let w(d) = 8*d**2 - 3*d + 4. Suppose 13 = 29*a - 16*a. What is the remainder when 24 is divided by w(a)?
6
Suppose 4*m - 116 = 5*u, 2*m + 2*u + u = 36. What is the remainder when m is divided by (-7 + 3)/(-2) + (-6)/(36/(-30))?
3
Suppose -2*w + 57 = 53. What is the remainder when (1134/56)/((-1)/w)*-10 is divided by 8?
5
Let y(z) = -z - 4. Let k = -252 - -245. Let d = -18 + 28. What is the remainder when d is divided by y(k)?
1
Let m(h) = -10*h + 8. Suppose -10*x = -1136 - 1024. Suppose -14*s + 6*s + x = 0. Calculate the remainder when m(-6) is divided by s.
14
Suppose -66 = -4*b - 7*b. Let l(d) = -2*d**3 + 9*d**2 + 11*d - 4. Let i be l(7). Calculate the remainder when 14 is divided by i/(-20) + b/(-10).
6
What is the remainder when 3417/12 + (-120)/(-96) is divided by 2?
0
Let i(c) = c**3 - 12*c**2 - 12*c - 8. Let v(r) = -r**3 - r**2 + 1. Let j(y) = -i(y) - 2*v(y). Calculate the remainder when 62 is divided by j(-13).
5
Suppose 9083 - 699 = 51*n - 949. Calculate the remainder when 6038 is divided by n.
182
Suppose 0 = 1347*q - 1312*q - 10150. What is the remainder when q is divided by 29?
0
Suppose 10*w - 9*w = -429. Let c = 444 + w. What is the remainder when 51 is divided by c?
6
Let h = 551 + -551. Let d(i) = -i**2 + i + 38. Let f be d(0). Let m = f + h. What is the remainder when m is divided by 21?
17
Let a = -6551 + 6641. Let w = -35 + 82. What is the remainder when a is divided by w?
43
Let b = 117 + -23. Let i(w) = 6*w + 112. What is the remainder when b is divided by i(-16)?
14
Let h(i) = -i**2 - 7*i + 11. Let y = -7 - 0. Let t be h(y). Let b = 37 - t. Calculate the remainder when 74 is divided by b.
22
Let p = 148 - -80. Let j = p + -222. Let k = 12 - 1. Calculate the remainder when k is divided by j.
5
Suppose 0 = 72*v - 94*v + 2244. Suppose 0 = 5*d + 7*i - 2*i - 30, 12 = 2*d + 5*i. Calculate the remainder when v is divided by (-6)/(-9) + 152/d.
24
Let o = -97 - -100. Suppose -1 = -o*s + 5. What is the remainder when 8 is divided by s?
0
Let h = -9076 - -9202. What is the remainder when 403 is divided by h?
25
Suppose 2*u + 5*o = 108, -o - 3*o = -4*u + 244. Let t = u + -61. What is the remainder when 33 is divided by t + 22/(-2)*-1?
6
Let z(a) = -217*a + 3999. Calculate the remainder when z(18) is divided by 14.
9
Suppose -g - 2*i + 50 = -4*i, 3*g + 2*i = 166. Suppose -2*n + 420 = -2*p, g = 3*n + 3*p - 588. Calculate the remainder when n is divided by 71.
70
Calculate the remainder when 1*(-17 + 4357)/10 is divided by 19.
16
Let y be (6/(-5))/(78/(-260)). Let m be (-3)/y*72/(-27). Suppose -m*t = 4 - 24. What is the remainder when t is divided by 3?
1
Suppose -4*h - 5*q = -7*h + 22, 0 = -q - 2. Let y = h + 11. Suppose -l = 5*d - y, -4*l - 4*d = -2*l - 18. Calculate the remainder when l is divided by 2.
1
Suppose 0 = 11*o - 52*o. Su