1. What is the remainder when 80 is divided by h?
38
Suppose 5*v + 6 = -9. Let y be (-3 - (-3 + v)) + 1. Let s(a) = -a**2 + 3*a + 7. What is the remainder when 6 is divided by s(y)?
0
Calculate the remainder when 44919/(-124)*(6/(-9) + -2) is divided by 57.
54
What is the remainder when 9/(-6)*284/(-3) is divided by 16?
14
Let o(m) = 6*m + 17. Let b(v) = -1. Let d(w) = -6*b(w) - o(w). What is the remainder when 48 is divided by d(-6)?
23
Let r(k) = k**2 - 2*k + 3. Suppose -4*u + 14 + 11 = -5*q, 2*q = 5*u - 10. Suppose u = 4*j - 8*j + 28. Calculate the remainder when r(6) is divided by j.
6
Suppose -2*b + 250 = 3*b. What is the remainder when 548 is divided by b?
48
Suppose 4*v - 3596 = -75*c + 70*c, -4*c = 4*v - 2880. What is the remainder when c is divided by 18?
14
Let q(z) = -3*z - 3. Let x be q(-2). Suppose -x*c = -2*g - 4 - 21, -3*g = -3*c + 21. Calculate the remainder when 87 is divided by c.
10
Suppose -3*o + 4*v = -17, -5*v = -o - 9*v - 5. Suppose b + 9 = o*u - 9, -2*b + 6 = u. What is the remainder when 22 is divided by u?
4
Suppose -12*y + 13*y = 0. Suppose y = i + 5*d - 78 - 22, -4*i - 3*d + 349 = 0. Calculate the remainder when i is divided by 8.
5
Suppose 0 = 16*j - 378 - 118. What is the remainder when 106 is divided by j?
13
What is the remainder when 159 is divided by ((-104)/(-36) - 4)/((-1)/9)?
9
Suppose -236 = -2*o + 38. Calculate the remainder when o is divided by 21.
11
Suppose -7*t = -4*t + 4*p - 10, 0 = -5*t + 4*p + 70. Let k(c) = c**3 + 5*c**2 - 8*c - 8. Calculate the remainder when t is divided by k(-6).
2
Let r = -267 - -380. Let n = r - 79. Calculate the remainder when 169 is divided by n.
33
Let w = 565 - 376. What is the remainder when w is divided by 69?
51
Let n = 988 + -983. Calculate the remainder when 65 is divided by n.
0
Suppose 3*f = f. Suppose -5*p - 4*x + 102 - 12 = f, -4*p - 3*x + 71 = 0. Let c = 4 - -1. What is the remainder when p is divided by c?
4
Let a(k) = k**2 + 9. Let x be a(6). Suppose x = 6*q - 2*q - w, 0 = 3*w + 3. Let u = q - 8. What is the remainder when 9 is divided by u?
0
Suppose -3*n - 2*n + 3*w = -187, 4*n + w = 136. Let m = -173 + 185. What is the remainder when n is divided by m?
11
Let q(h) = 110*h - 506. What is the remainder when 50 is divided by q(5)?
6
Let q(u) = -u**3 + 13*u**2 + 15*u - 12. Let g be q(14). What is the remainder when 75 is divided by g*6/6*(-26)/(-4)?
10
Suppose d - 40 = -2*f - 0*f, -3*f + d + 50 = 0. Let m = f + -6. Suppose -3*x - 241 = -5*n, -2*x - 2 = 2. What is the remainder when n is divided by m?
11
Let x(l) = 12*l**2 + 3*l - 11. Let a(z) = 3*z + 23. Let r be a(-7). Calculate the remainder when x(r) is divided by 23.
20
Suppose -4*j - 2*w + 566 = -4*w, -2*j - 5*w = -313. Suppose 4*u - 18 = -2*p + 152, 4*p + j = 3*u. Calculate the remainder when 79 is divided by u.
35
Let v = -145 - -148. Let x = 8 + -11. What is the remainder when 4 + 0 - 0/x is divided by v?
1
Suppose -18*v + 2090 = 4*v. What is the remainder when v is divided by 24?
23
Let y be (3 - 4)*1*(2 + -1). Let m(u) = -4 - u + 1 + 16*u**2 + 2. What is the remainder when m(y) is divided by 6?
4
What is the remainder when 116592/36*(-27)/(-36) is divided by 90?
89
Suppose i + 8*i + 65*i = 2442. Let c = -26 + 157. What is the remainder when c is divided by i?
32
Let x(f) = -9*f**3 - 2*f**2 - f - 5. Suppose -58 = -4*t + 6. Calculate the remainder when x(-2) is divided by t.
13
Let t(g) = 119*g**2 - 62*g + 63. Calculate the remainder when t(1) is divided by 45.
30
Suppose 10*j - 13*j = 3*k - 39, 2*j + 4*k - 30 = 0. Calculate the remainder when 51 is divided by j.
7
Let g = 273 + -244. Calculate the remainder when 50 is divided by g.
21
Suppose 3*a - 192 = 4*k, -2*a - k + 139 = -0*a. Suppose -64 = -4*b + 2*n, -b - 2*n + 98 = 4*b. Calculate the remainder when a is divided by b.
14
Suppose -2*y = -q - 0*q - 67, 0 = 4*y - 4*q - 124. Let u = y + -32. What is the remainder when u is divided by 2?
0
Suppose 3*p - 3*r = -0*r + 51, -5*p - r = -103. Suppose -33 = -8*h - 9. Calculate the remainder when p is divided by 62/6 - (8/h)/(-4).
9
Suppose 2*m = 3*a - 63, -m + a = 3*a + 14. Calculate the remainder when -5*(m/84 - 40/7) is divided by 9.
3
Suppose 18 = d - 16. Let b be 11480/200 + (18/(-10))/(-3). Let i = b + -49. Calculate the remainder when d is divided by i.
7
Let o be (0 - 172/(-2))/(-5 + 4). Calculate the remainder when (-24)/(-6) + -4 - o is divided by 30.
26
Let f = -73 - -76. Calculate the remainder when 43 is divided by f.
1
Suppose -v - 1 = -4. What is the remainder when (-4)/18 + 83/9 is divided by v?
0
Suppose -98*t = -102*t - 20, 5*h - 3*t - 1450 = 0. Calculate the remainder when h is divided by 12.
11
Let z be (34 - 5) + (1 - 0). Suppose -2*a - 1 = -11, 3*d - 3*a - z = 0. Let l(r) = -4*r**3 + 2*r**2 - r. What is the remainder when l(-2) is divided by d?
12
Let b(f) = -3*f**2 + 3 + 3 + 5*f**2 + f + 4*f. Suppose m + 6 = -m. Calculate the remainder when 33 is divided by b(m).
6
Let z = -66 - -147. What is the remainder when z is divided by 21?
18
Let h be 0/((4 - 3)*-2). Suppose 0 = -g + 5*c + 9, -2*c + 6 = -h. Let f = -11 + g. What is the remainder when 37 is divided by f?
11
Suppose -14 = -3*w - 5. Suppose 0 = 5*m + 3*k + 94, 0 = -2*m - m - 2*k - 56. What is the remainder when w is divided by m/15*(-3)/2?
1
Suppose 2*f - 7 = 69. Let r(z) = -z**3 + 4*z**2 + z - 5. Let c be r(4). Let g(j) = -20*j**3 - j - 1. What is the remainder when f is divided by g(c)?
18
Let f = 10 - -2. Let y = 18 - f. Suppose y = -7*b + 9*b. Calculate the remainder when 6 is divided by b.
0
Let z(p) = -6*p - 107. What is the remainder when z(-20) is divided by 5?
3
Suppose 0 = 44*x - 70*x + 702. What is the remainder when x is divided by 24?
3
Suppose 0 = 4*h - 1075 - 513. Suppose 0 = 5*g - h - 58. What is the remainder when g is divided by 24?
19
Let p(j) = -4*j - 1. Let i be p(6). Let d = i - -37. What is the remainder when 47 is divided by d?
11
Suppose -d - 64 = -9*d. What is the remainder when 44 is divided by (-8 - (-60)/d)*2*-16?
12
Suppose 3*j + 4*d - 2548 = 573, -5*d = 4*j - 4163. Calculate the remainder when j is divided by 50.
47
Let t = -10 + 22. Let y = 9850 - 9719. What is the remainder when y is divided by t?
11
What is the remainder when -7 - ((1 - -5) + -38) is divided by 14?
11
Suppose 5*r - 48 = 3*d, 0*r - 3*d = -2*r + 12. Let t = r - 5. What is the remainder when 19 is divided by t?
5
Let r be 10*(1 + 22/(-10)). Let p = r - -14. Suppose 0 = -p*m - 6, 0*u - 5*m = -u + 18. What is the remainder when 7 is divided by u?
1
Let v = 315 - -78. Calculate the remainder when v is divided by 50.
43
Let w(g) = g**3 - 6*g**2 + 18*g - 33. Calculate the remainder when w(4) is divided by 5.
2
Let a = -155 + 158. What is the remainder when 16 is divided by a?
1
Let n = -293 - 22. Let s = -759 - n. Calculate the remainder when 8/2*s/(-48) is divided by 10.
7
Let q = -3157 + 3419. Calculate the remainder when q is divided by 25.
12
Calculate the remainder when 5152/70 - 4/(-10) - 0 is divided by 11.
8
Suppose 0*h = 5*h - 85. Suppose 2*s = 15 + 43. What is the remainder when (s - (-5)/(-5)) + (3 - 0) is divided by h?
14
Let r = -750 + 768. Calculate the remainder when r is divided by 7.
4
Let t(m) = -m**3 + 15*m**2 + 15*m + 24. Calculate the remainder when 39 is divided by t(16).
7
Suppose -886*s = -872*s - 4788. Calculate the remainder when s is divided by 34.
2
Let r(u) = -61*u - 455. Calculate the remainder when 75 is divided by r(-8).
9
Let y(v) = -17*v + 7. Let g be 2/(-6) + (-66)/18. Let x = g + 13. What is the remainder when y(-1) is divided by x?
6
Let u = 13 - 22. Let r = 81 + u. What is the remainder when r is divided by (-2)/(-2)*(-1 - -16)?
12
Let x = 20 + -1. Suppose 24*k - x*k = 25. What is the remainder when 8 is divided by k?
3
Let m = 14 + 9. Let x(f) = 16*f - 7. Let a(p) = -p**2 + p + 6. Let w be a(0). What is the remainder when x(w) is divided by m?
20
Let x(m) = -5*m + 17. Let a be x(-9). Suppose n + 0 - a = -5*y, -3*n + 6 = 0. Calculate the remainder when 44 is divided by y.
8
Suppose 40 = 5*g - 3*t - 38, -2*g = -5*t - 35. Let q = 151 + -96. Calculate the remainder when q is divided by g.
10
Suppose -3*a = -4*o + 344, -5*o - a + 3*a + 430 = 0. What is the remainder when o is divided by 32?
22
Calcul