der when v is divided by f.
28
Let m = 38 + -22. Suppose 3*q - q = -4*f + 8, 5*q = -2*f + 12. Suppose -r + 42 = q*d, 41 = -2*r + 3*r + 3*d. Calculate the remainder when r is divided by m.
12
Let p = 20689 + -20647. What is the remainder when 210 is divided by p?
0
Suppose 2*s - 3 = 5, -3*s + 212 = 5*o. Let h be (-9)/(-2)*(-30)/(-5). Let r = o - h. Calculate the remainder when r is divided by 4.
1
What is the remainder when 965 is divided by (248 - -4) + 16 - 5?
176
Let d = 27 - 22. Suppose 0 = -2*s - d*t + 22, 53 = 4*s + 3*t - 5. Suppose -3*i = 6, -b = -5*b - 2*i + 200. Calculate the remainder when b is divided by s.
3
Let k = 514 - 224. Suppose 9*o = -o + k. Suppose -5*n = -3*n - 228. Calculate the remainder when n is divided by o.
27
Let x be 1 + 6/27 + (-1810)/45. Let g = x - -71. Calculate the remainder when (-5)/2*5652/(-90) is divided by g.
29
Let s(l) = 33*l**2 - 5*l - 5. Let a be s(-2). Suppose 3*g - 2*u = -245, g + 9*u - 4*u + 59 = 0. Let n = g + a. What is the remainder when 230 is divided by n?
56
Let l(j) = -352*j - 3. Calculate the remainder when l(-1) is divided by 2/(-7) + 5562/63.
85
Let m = -6021 - -6147. What is the remainder when 2519 is divided by m?
125
Let o(l) = -3*l - 54. Suppose 15*k = 12*k + 18. Suppose 0 = 15*b - k*b + 171. Calculate the remainder when 3 is divided by o(b).
0
Suppose -133 = -2*m + 141. Suppose -i + 4*s = -37, -5*i - s = -2*i - m. Calculate the remainder when 144 is divided by i.
9
Suppose -51*s + 47*s - 28 = -4*n, 2*s = -10. Calculate the remainder when 138 is divided by 6/(216/32 + (n - 8)).
2
Let k(m) = m**3 + 14*m**2 + 25*m + 13. Let f be k(-10). Let i = -136 + f. Calculate the remainder when 350 is divided by i.
26
Let h(k) = 8*k**2 + 4*k - 20. Let j(f) = f**2 + 16*f + 17. Calculate the remainder when h(3) is divided by j(-17).
30
Let j(a) = 1082*a - 988. What is the remainder when j(1) is divided by 83?
11
Let f = -14966 - -15001. Calculate the remainder when 1359 is divided by f.
29
Suppose 426*w + 23202 = 444*w. What is the remainder when w is divided by 76?
73
Let d = 60 + -58. Suppose 0*h + h = d*f + 10, 3*h - 18 = 3*f. What is the remainder when 39 is divided by f/30 + 2544/180?
11
Let v be (-1083)/(-76)*16/(-6). Let d = 82 + v. Calculate the remainder when d is divided by 18.
8
Let x(h) = -369*h - 4845. Calculate the remainder when 327 is divided by x(-14).
6
Let l(y) = 131*y - 1. Let i be 4 + 6/(-21) + 5388/42. Suppose -55*o + 61*o = i. What is the remainder when l(1) is divided by o?
20
Suppose -16 = x - 83. Let z(r) = 34*r**2 - 20*r - 18. Calculate the remainder when (x - (2 + -2)) + 2 is divided by z(-1).
33
Let l(v) = -v**2 + 30*v - 29. Let h be l(29). Suppose 4*r + 170 = 7*r - 2*k, h = -r + k + 58. What is the remainder when r is divided by 12?
6
Let i(a) = 33*a**2 - 7*a - 6. Calculate the remainder when (402/4)/((-7)/((-168)/9)) is divided by i(-1).
30
Let t = 983 - 960. Let q = -40 + 145. What is the remainder when q is divided by t?
13
What is the remainder when 475 is divided by (3456/(-960))/(0 - 6/80)?
43
Suppose 4*a - 51 + 15 = 0. Let b = 17 + a. Suppose -5*f - o = -383, 4*f + f - 2*o - 374 = 0. Calculate the remainder when f is divided by b.
24
Let k(m) = -2*m**2 - 75*m + 19. What is the remainder when k(-26) is divided by 26?
19
Suppose -2*i + 332 = -3*b - 381, -3*b - 1441 = -4*i. Let o = i - 357. Calculate the remainder when 21 is divided by o.
0
Let f(y) = 5*y**2 - 10*y + 14. Calculate the remainder when 3208 is divided by f(-5).
184
Suppose 0 = 9*a - 12*a - 9. Let g be (3 - (-11)/a)*-18. Suppose 40 = 2*u + g. Calculate the remainder when u is divided by 7.
0
Suppose -246*l + 244*l + 70 = -4*i, 0 = -3*l + 3*i + 90. What is the remainder when 88 is divided by l?
13
Suppose -10*l - 26 = -7*l - 347. What is the remainder when 429 is divided by l?
1
Let q(m) = 177*m - 94. Let s be q(5). Let u = s - 698. What is the remainder when u is divided by 34?
25
Let n(l) = -2*l**3 + 128*l**2 + 132*l + 27. Calculate the remainder when n(65) is divided by 45.
22
Suppose -367*j + 553*j = 1674. Suppose 5*r - 5*c - 730 = 0, r - 3*c = -c + 143. Calculate the remainder when r is divided by j.
5
Let q(k) = k**3 + 15*k**2 - 14*k + 21. Let p be q(-14). Suppose p = 186*c - 179*c. Calculate the remainder when 117 is divided by c.
58
Suppose -2*n - 3 = -1. Let j(u) = 68*u**2 + 1. Suppose i = -8, 2*d - 22 = -2*d - 5*i + 34. Calculate the remainder when j(n) is divided by d.
21
Let i be (-1 + (-2 - -1))*(-45)/18. Suppose k = -2*u + 1, i*k - 3*u + 0*u - 57 = 0. Calculate the remainder when 24 is divided by k.
6
Suppose 82*t - 4492 = 60862. What is the remainder when 1612 is divided by t?
18
Suppose 25*d + 42 = c + 23*d, 0 = -c - 2*d + 38. What is the remainder when c is divided by 10?
0
Let d = -2485 - -2509. Calculate the remainder when 172 is divided by d.
4
Let z = -1671 + 2065. Calculate the remainder when z is divided by 19.
14
Let i(b) = 2*b - 6. Let r be i(5). Suppose -23 = r*w - 5*w. Let p = w + -16. What is the remainder when 33 is divided by p?
5
Calculate the remainder when 370 is divided by 20/(-25) - 176/6*9/(-30).
2
Let y = -11 - -20. Suppose y*o - 413 = 244. What is the remainder when o is divided by 1/((-230)/(-76) + -3)?
35
Let j = -4927 + 4982. Calculate the remainder when 782 is divided by j.
12
Let g = -64525 + 64614. Let r(m) = m**3 + 9*m**2 + 9*m - 9. Calculate the remainder when g is divided by r(-7).
11
Let v(u) = u**3 + 4*u**2 - 44*u + 123. Calculate the remainder when 1348 is divided by v(3).
52
Let w(v) = -7*v - 7. Let q be w(-2). What is the remainder when 66 is divided by 888/42 + (-1)/q?
3
Let j(z) = 2*z**2 - 13*z - 78. Suppose -4*l = 3*t + 34, -t + 5 = l + 15. What is the remainder when j(t) is divided by 27?
18
Let n = -4810 - -4891. Calculate the remainder when n is divided by 18.
9
Let o = -366 + 407. Let j be (56/(-20) - -1)*-5. Suppose 5*b = 4*l, -b + 5*l - j = 3*b. Calculate the remainder when o is divided by b.
1
Let f = -330 + 332. Let d(a) = -4*a + 2. What is the remainder when 116*(2 + f + 13/(-4)) is divided by d(-4)?
15
Let u(h) = 4*h**3 - 5*h**2 - 3*h + 7. What is the remainder when u(2) is divided by (2 - 8)/(2 - 3)?
1
Let o = 267 - 226. Suppose 5*s - 12 = 2*s. Suppose 4*h - s*l - 56 = 0, -5*l + 3*l = -4*h + 50. Calculate the remainder when o is divided by h.
8
Let t(w) = -w**2 + 5*w + 38. Let n be t(-4). Calculate the remainder when 87/n*(-198)/(-27) is divided by 54.
49
Suppose -3*p = r - 6371, 2*p = 2*r + 4*p - 12734. What is the remainder when r is divided by 16?
13
Suppose -3*q = -2*s + 44 + 13, 2*q - 2*s = -38. Suppose 0 = 297*g - 351*g + 1620. Let b = q + g. What is the remainder when b is divided by 4?
3
Suppose 0 = -22*c + 1405 + 113. Calculate the remainder when 475 is divided by c.
61
Suppose 0 = -4*f + 4*q - 2*q + 246, 2*q = -4*f + 250. What is the remainder when 231 is divided by 40 - 1 - (f - 62)?
36
Let s be (-3 + 1)/((-2)/5). Suppose -f - 3*f + 182 = -2*b, 87 = 2*f - s*b. Suppose 3*q - 329 - 214 = 0. Calculate the remainder when q is divided by f.
43
Let k(r) = 26*r + 36. Calculate the remainder when 142 is divided by k(0).
34
Suppose -25*w = -11*w - 574. What is the remainder when 792 is divided by w?
13
Let r = 340 + -59. Let z = -260 + r. Suppose 5*p = 5, -2*y + 5*p = -y - 1. What is the remainder when z is divided by y?
3
Suppose -32*h + 1371 + 745 = 14*h. What is the remainder when 93 is divided by h?
1
Let b = -30 + 33. Let a(g) = g**3 - 5*g + 7. Let o be a(b). Suppose 5*u = -2*z + 93, u = 4*z + o + 4. What is the remainder when 92 is divided by u?
16
Let d(i) = -91*i**3 + 4*i**2 - 7*i - 57. What is the remainder when d(-3) is divided by 82?
79
Calculate the remainder when 83 - -4 - (-7 - -1 - -12) is divided by 45.
36
Let j(n) = -42*n + 2. Let t(v) = v**2 + 8*v - 40. Let w be t(-10). Calculate the remainder when j(-2) is divided by (-10)/w + (-129)/(-6).
20
Suppose 953 = -277*l + 3446. Let o(n) = 19*n**2 - 1. What is the remainder when o(3) is divided by l?
8
Let c(p) = 17*p + 9 - 19 + 2 - 12. What is the remainder when c(3) is divided by 17?
14
Suppose -4*n - 3*s = -0*s - 3, 2*n - 18 = 4*s. Suppose 254 = u - 3*o, -382 = -2*u + n*o + 111. Calculate the remainder when u is divided by 60.
59
Let r = 4 + 0. Suppose 2*t - 5*z = 3*t - 