 -4*d - 20*d - 6*d + 4380 = 0. What is the remainder when 451 is divided by d?
13
Let j be 72/4*(-2 + 18 + 0). Suppose 0 = 8*x + 8*x - j. Calculate the remainder when 50 is divided by x.
14
Let m(b) be the first derivative of b**4/4 - b**3/3 + 3*b - 13. Let q be m(2). Let f = 42 + q. What is the remainder when 96 is divided by f?
47
Let v(g) = -7*g - 69. Let t be v(-12). Suppose -o + 24 + t = 0. Calculate the remainder when o is divided by 5.
4
Let u be (-32 + (-2)/(-2))/(44 - 45). Suppose -8*l + 33 + u = 0. Suppose l*w + 9 = 9*w. Calculate the remainder when 33 is divided by w.
6
Suppose -v - 267*w = -268*w - 18, 2*v = -2*w + 24. What is the remainder when 2113 is divided by v?
13
Calculate the remainder when (4522/2907)/(2/18) is divided by 12.
2
Let g = -36732 + 36943. Calculate the remainder when 980 is divided by g.
136
Suppose 3406*g = 3435*g - 9802. What is the remainder when 1265 is divided by g?
251
Let w = 135 + -101. Suppose 5*o - o = -5*m + 119, -3*m - w = -o. Calculate the remainder when 120 is divided by o.
27
Suppose -7*c + 4*c - 1945 = -2*r, -3*r + c + 2893 = 0. Calculate the remainder when r is divided by 248.
218
Suppose 0 = -3*a - 33 + 27. Let t(j) = 9*j - 29. Let o(w) = 17*w - 59. Let c(l) = a*o(l) + 5*t(l). Calculate the remainder when 30 is divided by c(4).
13
Let i(p) = -83 - 17 + 46 - 3*p. What is the remainder when 229 is divided by i(-25)?
19
Calculate the remainder when (3 - (5 - 3)) + -29*126/(-6) is divided by (-610)/(-9) - 4/(-18).
66
Suppose -5*b + 2*l + 384 = -4*b, l = 5*b - 1965. What is the remainder when b is divided by 161?
72
Suppose 0 = -122*v + 82*v + 63*v - 5336. Calculate the remainder when v is divided by 43.
17
Let g = 166727 - 166682. Let r = 172 + 0. What is the remainder when r is divided by g?
37
Suppose 6*x - 5*x = s - 31, 4*x + 115 = -5*s. Let c = 66 + x. Calculate the remainder when c is divided by 20.
16
Let f = -502 - -525. Suppose -320 = -5*g + 5*z, -z + 200 + 76 = 4*g. Calculate the remainder when g is divided by f.
22
Suppose -228 = -t + 49. Suppose 8*i - 187 - 133 = 0. Calculate the remainder when t is divided by i.
37
Suppose -9*a - 41476 = -3*r - 14*a, 0 = -2*a - 14. Calculate the remainder when r is divided by 16.
13
Let c = 10586 + -10549. What is the remainder when 12429 is divided by c?
34
Suppose 3670 + 2994 = 56*l. Calculate the remainder when 187 is divided by l.
68
Suppose t + 305 - 31 = 4*z, 6 = -3*t. Suppose 5*r + 19 = 154. Calculate the remainder when z is divided by r.
14
Suppose 0 = -5*n - 2*h + 3810, 4*h - h = 4*n - 3025. Suppose -10*v = -20 - n. Let g = v - 65. Calculate the remainder when 16 is divided by g.
3
Let b be (8/6)/((-4)/(-6)). Suppose 2*g - 55 = t, -3*g - 4*t + 37 = -18. Suppose -b*j + 37 = -g. Calculate the remainder when 90 is divided by j.
28
Suppose 4*z = -3*d + 6896 + 2307, -d + 4*z + 3105 = 0. What is the remainder when d is divided by 7?
4
What is the remainder when 1149 is divided by (-120)/216 - 20432/(-36)?
15
Let v = 7361 + -7274. What is the remainder when 1197 is divided by v?
66
Let f(v) be the third derivative of v**5/60 + v**4/6 - v**3 + 44*v**2. Calculate the remainder when f(-11) is divided by 27.
17
Suppose d = -3*z + 310, -2*z - d + 133 = -73. Let c = z + -83. What is the remainder when 123 is divided by c?
18
Suppose -8*h - 206 = 34. Calculate the remainder when 169 is divided by (-25)/(h/42 - (-2)/(-7)).
19
Suppose -88 = -4*w - 28. Suppose 8*j = w*j - 280. What is the remainder when j is divided by (2 - (2 - -1))*-7?
5
Let u(r) = -r + 26. Suppose 6*z = 2*z + 32. Suppose 2*g + 36 = z*g. What is the remainder when u(g) is divided by 7?
6
Suppose -d - 5*r = 2*d - 101, -2*d + 5*r + 59 = 0. Suppose 5*a = 35, 19*a - 15*a = 3*c - 635. Calculate the remainder when c is divided by d.
29
Let v(l) = l**2 + 613*l - 109872. Suppose 0 = 2*i + 5*q - 26, 0*q = i - 2*q - 4. What is the remainder when v(145) is divided by i?
6
Let p(g) = g**2 + 11*g - 28. Let b(a) = -a + 1. Let q(h) = 4*b(h) + p(h). Let s = 314 - 173. What is the remainder when s is divided by q(-12)?
33
Let w = -45802 + 45900. Let g(i) = 2*i**2 + 2*i - 7. Calculate the remainder when w is divided by g(-5).
32
What is the remainder when (32652/(-27))/(16/(-12)) is divided by 158?
117
Let v = -3146 - -3203. Calculate the remainder when 449 is divided by v.
50
Suppose 2*o - 3 = 17. Let v(k) = 2*k**2 + 17*k - 9. What is the remainder when v(-13) is divided by o?
8
Let f(k) = 44*k**2 + 344*k - 5. Calculate the remainder when 5152 is divided by f(-8).
19
Let h be 10 + 832/18 - 4/18. Suppose -2*o = -4*b - 0*b - h, -20 = 4*b. Let j = 22 - -45. What is the remainder when j is divided by o?
13
Suppose 5*z + 2*q = 355, -z - 17*q = -12*q - 71. What is the remainder when 381 is divided by z?
26
Let j = 17 + -76. Let f = -72 - j. Calculate the remainder when 75 is divided by (-3 + 7)*f/(-4).
10
Let b = -311 - -539. Let n(z) = 2*z**2 - 5*z - 128. What is the remainder when b is divided by n(-9)?
70
Let c(y) = y**2 - 40*y - 430. Let r(d) = d**2 + 2*d - 1. Calculate the remainder when c(-9) is divided by r(1).
1
Let y be (0 + 1)/((-4)/88). Let o = y - -78. What is the remainder when o is divided by (-1953)/(-126) + (-1)/2?
11
Let p = -61 + 64. Suppose 366 = 4*h + 8*f - 7*f, p*h + 4*f = 281. What is the remainder when h is divided by 23?
22
Let g = -2498 - -2980. What is the remainder when g is divided by 7?
6
Suppose 5*x = -5*z + 5, -2*x + 2*z - 2 = -6*x. Suppose x = -3*l + 4*k + 33, -l = -4*k - 0*k - 19. What is the remainder when 23 is divided by l?
2
Let x(r) = r**3 - 10*r**2 + 11. Let a be x(10). Let u = a + -11. Suppose u = 5*y + 14 + 6, 3*l = -3*y + 36. What is the remainder when 95 is divided by l?
15
Suppose t = -3*n + 319, -2*n - 622 = -8*t + 6*t. Let y = t - 301. Calculate the remainder when y is divided by 12.
0
Let z(r) = -r**3 - 4*r**2 - 3*r - 3. Suppose -30*j = -26*j - 96. What is the remainder when j is divided by z(-4)?
6
Suppose 0 = y + 4, -2*i + 11 = -4*y - 11. Suppose -2956 - 824 = -15*w. Suppose -304*h + w = -295*h. Calculate the remainder when h is divided by i.
1
Let l(k) = k**3 - 3*k**2 - 14*k + 91. Calculate the remainder when l(7) is divided by 19.
18
Suppose -92*j + 1987 - 239 = 0. Let r(s) = 6*s + 8. What is the remainder when r(8) is divided by j?
18
What is the remainder when 301 is divided by (-72*1/5)/((-171)/2280)?
109
Let o(x) = -x**3 + 15*x**2 + 48*x - 116. What is the remainder when 710 is divided by o(-5)?
134
Let s = 9227 + -4721. Calculate the remainder when s is divided by 98.
96
Let w(g) = -4*g + 64. Calculate the remainder when 49 is divided by w(6).
9
Let y be (-1)/6 + (-14406)/(-252). Let x = 272 - y. Calculate the remainder when x is divided by 27.
26
Suppose -16 + 55 = d + f, -141 = -3*d + 5*f. Calculate the remainder when 498 is divided by d.
36
Suppose 2306*u - 2342*u = -720. Calculate the remainder when 186 is divided by u.
6
Let k = 1055 - -5364. What is the remainder when k is divided by 20?
19
Let y = -124 + 1213. What is the remainder when y is divided by 78?
75
Let d = 20 + -21. Let k = 11 + d. What is the remainder when (-1)/(-3) + (-1584)/(-27) is divided by k?
9
Let v = -9169 + 9180. Let w(h) be the third derivative of h**5/20 + h**4/12 + h**3/6 + 4*h**2. What is the remainder when w(-4) is divided by v?
8
Let z = 156 + -152. Let a = z + 36. Calculate the remainder when a is divided by 32.
8
Let q = 298 - -36. Suppose 3*y = 2*t - 30, 2*y = -2*t + 103 - 53. Calculate the remainder when q is divided by t.
19
Suppose 2*l - 3*f + 839 = 7*l, -2*f = -5*l + 824. Suppose l = 4*q - 3*q. What is the remainder when q is divided by 12?
10
Let r be 1/(-1 + 2)*(13 - 2). Let h(m) = -m**3 + 13*m**2 - 7*m - 14. Calculate the remainder when h(r) is divided by 17.
15
Suppose -2*x = 0, u + 3*x = 31 + 8. Suppose -63*c + 3584 = -3094. Calculate the remainder when c is divided by u.
28
Suppose -1136 = -4*d - 2*s, 1418 = 5*d + 15*s - 13*s. Let q = -142 + d. What is the remainder when q is divided by 45?
5
Let t(y) = y**2 + 26*y + 138. What is the remainder when t(-20) is divided by -2*50/(-7) + (-4)/14?
4
Suppose -219*h = -212*h - 19677. Calculate the remainder when h is divided by 21.
18
Let y(o) = o**2 + 14*o + 180. Let w be 2/4 + (-130)/4. Let f = -17 - w. What is t