8)/(-7)*(49 - 42) is divided by 80.
78
Suppose 0 = -5*l + 3*l - 6. Let f = l + 17. Calculate the remainder when 41 is divided by f.
13
Suppose h = 2*h - 13. Suppose -a + 5*y = -136, -396 = 4*a - 4*y - 956. Calculate the remainder when a is divided by h.
11
Suppose 3*b - 2*w - 273 = 0, 84 = 2*b - w - 98. Calculate the remainder when b is divided by 50.
41
Let m(q) = q**2 + q + 1. Suppose -5*t + 3*n = -0*n - 493, 4*t - 420 = -4*n. Suppose t = 5*x + 16. What is the remainder when m(-6) is divided by x?
14
Suppose -491*d + 486*d + 25 = 0. What is the remainder when 118 is divided by d?
3
Let p(r) = -r**3 + 8*r**2 - 6*r + 2. Let w be (15 + -11)*(-23)/2. Let a = -22 - w. Calculate the remainder when a is divided by p(7).
6
Suppose 23 = -4*k + 5*i, 2*i = -5*k - 2*i + 2. What is the remainder when (16/(-24))/(k/51) is divided by (-3 + 1)/(-2) + 8?
8
Let g(d) = -d + 6. Let z be g(10). Let t(u) = -31*u + 2. What is the remainder when t(z) is divided by (2/5)/((-1)/(-80))?
30
Suppose 6637 = 14*b - 8119. What is the remainder when b is divided by 32?
30
Let u = 7 - 4. Suppose -2*k - u*k = -25. Suppose -3*z - 2*z = -4*f - 22, -k*f = 3*z - 28. What is the remainder when 17 is divided by z?
5
What is the remainder when 209 is divided by 3/24 + 3150/144?
11
Let d(k) = -2*k**2 + 58*k + 14. Calculate the remainder when 1/(((-2)/194)/(-1)) is divided by d(29).
13
Let v be 1*-45*(1 - 5/3). Let s = v - 4. Calculate the remainder when s is divided by 16.
10
Let y be (-7)/(3 - 4 - 0). Suppose -42 = 5*f - y*f. What is the remainder when 41 is divided by f?
20
Suppose -69 = -2*h - h. Suppose 0*v + v = -10. Let r = -4 - v. What is the remainder when h is divided by r?
5
Let d(q) = 4*q**2 + 10*q + 6. Let v(o) = 148*o**2 - 5*o - 4. Calculate the remainder when v(-1) is divided by d(-4).
29
Let w = 113 + -51. Suppose -5*n = -62 - 18. Calculate the remainder when w is divided by n.
14
What is the remainder when (-6 - -3 - -2)*(1 - 144) is divided by 27?
8
Let r(d) = -d**3 - 6*d**2 - 4*d + 3. Let g be r(-5). Let n(a) = 0 + 2*a - a + 3*a**2 + 0. What is the remainder when 37 is divided by n(g)?
7
Suppose 4*t + 6*v = 3*v + 64, -3*t - v = -53. Calculate the remainder when 46 is divided by t.
8
Let g = -233 + 290. What is the remainder when 225 is divided by g?
54
Suppose 0 = -5*z - 2*x + 77, -4*z - 2*x + 24 = -38. Calculate the remainder when 133/3 - (-2)/(-6) is divided by z.
14
Let s(l) = l + 9. Let x be s(-9). Suppose x = c + c - 76. Suppose -5*h - 10 + 0 = 0, 0 = -2*o - 3*h + c. What is the remainder when o is divided by 12?
10
Let a = 46 + -55. Calculate the remainder when ((-2)/a - 0) + 19250/450 is divided by 22.
21
What is the remainder when (-66)/(-121) + (-2088)/(-44) is divided by 7?
6
Let x(o) = 34*o + 16. Let w be x(8). Let i = -197 + w. Suppose -151 + 30 = -4*j - 3*y, 5*y + 67 = 2*j. What is the remainder when i is divided by j?
29
Let n = 34 + -16. Let o = n + -9. Suppose -o = -u - 2. What is the remainder when 20 is divided by u?
6
Let h be 6 + (-5)/4 + (-27)/36. Suppose h*c - 156 + 16 = 0. What is the remainder when c is divided by 18?
17
Suppose 0 = o + 5*g - 165, -10*o + 360 = -8*o - 5*g. Calculate the remainder when o is divided by 89.
86
Let f(j) = -23*j**3 - j + 3 - 1 + 6*j**3 + 3*j. What is the remainder when 99 is divided by f(-1)?
14
Suppose -4*u + 16 = -84. Let z be 44/(-286) + ((-870)/(-26))/3. Suppose 3*n - z*n + 112 = 0. Calculate the remainder when u is divided by n.
11
Let i(a) = -3*a + 24. Let h be i(7). Suppose 3*t = 4*n - 3*n + 88, -2*t + 47 = -h*n. What is the remainder when 121 is divided by t?
28
Let o be 4/(-3) + -4*308/(-24). Suppose o + 166 = 2*b. Calculate the remainder when b is divided by 28.
24
Let n(w) = w. Let r(z) = -11. Let a(q) = -6*n(q) + r(q). Let x be (9/(-6))/(2/12). Calculate the remainder when a(x) is divided by 23.
20
Suppose 2*m = 37 + 7. Suppose -3*y = 2*f - 29, -2*f + 8 + m = 4*y. What is the remainder when f is divided by 7?
6
Let n = -100 - -209. What is the remainder when n is divided by 28?
25
Suppose -4*v - 7*v + 143 = 0. Calculate the remainder when (-9)/(-6) - (-123)/6 is divided by v.
9
Let p(y) = 2*y**2 - 6*y. Let r be (0 - 3)*16/(-12). Let q be p(r). Calculate the remainder when 98*-1*(-8)/q is divided by 33.
32
Let o(t) = -5*t + 14. Let f = 1 - -4. Suppose -5*s + 6*s + 2*j + 2 = 0, -5*s + f*j - 70 = 0. Calculate the remainder when o(s) is divided by 22.
20
Suppose -159 = -8*m - 87. Calculate the remainder when 411 is divided by m.
6
Let i = -76 - -79. Let s(t) = -4*t - 1. Let w be s(-1). Suppose 251 = i*k + 4*c - 6*c, w*c + 12 = 0. Calculate the remainder when k is divided by 28.
25
Let u = -1718 + 1739. What is the remainder when 629 is divided by u?
20
Suppose 4*t + 16 = -2*m, -3*t = 7 + 8. Let a = 110 - 107. Suppose 1 = -4*h + m*h + d, -2*h + a*d = 11. Calculate the remainder when 2 is divided by h.
0
Suppose -n = -3*w - 14, -5*n - 6*w + 5*w + 70 = 0. What is the remainder when 16/3*30/4 is divided by n?
12
Let z = -11 - -7. Let c = 3 - z. Let x = 1421 + -1408. Calculate the remainder when x is divided by c.
6
Let a(m) = 4*m**2 - m - 3. Let y be a(3). Suppose -o - 21 + y = 0. Let c(p) = -p**3 + 5*p**2 + 4*p + 6. Calculate the remainder when c(5) is divided by o.
8
Suppose 67*z = 65*z + 44. Let l = 13 - 8. What is the remainder when z is divided by l?
2
Let b(f) = 92*f - 693. What is the remainder when 123 is divided by b(8)?
37
Let v = -13 - -18. Suppose 0 = -0*h - 3*h - v*g - 140, 4*g = 8. What is the remainder when 2/(1 + -5)*h is divided by 7?
4
Suppose 7 = 2*d - z - 0, 3*z = 3*d - 12. Suppose -2*t = -3*t + d*r + 54, r - 318 = -5*t. What is the remainder when t is divided by 22?
19
Calculate the remainder when 12605/30 + 5/6 is divided by 47.
45
Let d(z) = z**2 - z + 27. Let c be d(0). Suppose -4*u + 21 + c = 0. What is the remainder when 22 is divided by u?
10
Let h(z) = z**2 - 39*z + 30. What is the remainder when 179 is divided by h(39)?
29
Let z(p) = -p**3 + 9*p**2 + 22*p - 42. Let q = -23 + 40. What is the remainder when z(10) is divided by q?
10
Suppose 5*a - 22 = 128. Let o(u) = -u**2 - 7*u - 2. Let l be o(-5). Suppose -2*n - l = -3*n. What is the remainder when a is divided by n?
6
Suppose -5*m - 27 + 117 = 0. What is the remainder when 223 is divided by m*3 + 6 + -4?
55
Suppose 3*m + m - 750 = -2*i, -3*m + i + 560 = 0. Calculate the remainder when m is divided by 11.
0
Let w(k) = -k**3 + 11*k**2 - 10*k + 4. What is the remainder when 34 is divided by w(10)?
2
Suppose 9*j - 240 = 4*j. Let h(m) = -7*m + 38. Let f = -189 - -193. Calculate the remainder when j is divided by h(f).
8
Let s(x) = 60*x + 3370. What is the remainder when s(-54) is divided by 4*9 + (-4)/2?
28
Let t(p) = -6*p + 9. Let l be t(-8). Let j = -41 + l. What is the remainder when j is divided by 11?
5
Suppose 3*o - 312 = -2*m, 3*o = -m - 0*m + 315. Calculate the remainder when 4/(1/(34/o) - 3) is divided by 12.
10
Let n(t) be the third derivative of -t**4/6 - 3*t**2. Calculate the remainder when (-2)/(-4) + 203/14 is divided by n(-1).
3
Let a(c) = -3*c**2 - 20*c + 7. Let y = 34 - 16. What is the remainder when a(-5) is divided by y?
14
Suppose -60 = 11*w - 181. Suppose -5*u = w - 21. Suppose 0 = n + 4, -4*c + 2*n = -c - 17. What is the remainder when c is divided by u?
1
Calculate the remainder when -1 + (98 - 0) + -1 is divided by 7 + (-132)/(-12) + 2.
16
Let w = 78 + -33. Suppose -w = -i - 0*i. Calculate the remainder when i is divided by 13.
6
Let i = 1 - -5. Let l = 7 - i. Calculate the remainder when (-1*-1*33)/l is divided by 18.
15
Suppose 4*d - 5*q = 151, 4*d + 3*q - 201 = -2*q. Calculate the remainder when d is divided by 11.
0
Let o = 1523 + -1512. Calculate the remainder when o is divided by (1 + -3 - -1)*-7.
4
Suppose 4*o = 4*h + 36, 3*h + 8 + 9 = o. Calculate the remainder when (3/6)/((-1)/(-34)) is divided by o.
2
Let s be (-2)/(-2) - (-38 + 7). Suppose -3*j = -40 - s. Let q(u) = 69*u**2 + 1. Calculate the remainder when q(-1) is divided by j.
22
Suppose -2*w - 225 = 5*j, 0*j = 2*j - 2*w + 104. Let p = j + 86. What is the remainder when p is divided by 8?
7
What is the remainder when 257 is divided by 4/(-2)*((-91)/7 + -21)?
53
Let b(x) = -10 - 1 + 6 + x. Let v be b(8). Suppose 27 = 5*s - 3*z, -6*s + 4*s + 9 =