late the remainder when 213 is divided by x.
41
Suppose -2*s - 502 = -5*o + 2*s, -3*s = o - 89. Let d = o + -87. Calculate the remainder when 19 is divided by d.
8
Let z = 24 + -33. Calculate the remainder when (-8 - 75/z) + (-38)/(-3) is divided by 8/10*(4 - -1).
1
Suppose 0 = -4*u - 5*r + 8778, -u = -89*r + 84*r - 2207. What is the remainder when u is divided by 55?
52
Let a = 577 - 552. Calculate the remainder when 137 + -2*((-60)/8)/5 is divided by a.
15
Let q(o) = 26*o**2 + 14*o + 30. Let m = 274 - 276. Calculate the remainder when q(m) is divided by 20.
6
Let c = 4486 - -310. What is the remainder when c is divided by 343?
337
Let n be (-71640)/(-207) + 4/(-46). Let j = 365 - n. What is the remainder when 51 is divided by j?
13
Let x(j) = -378*j - 2643. What is the remainder when 1677 is divided by x(-7)?
0
Let i = -4049 - -4168. What is the remainder when i is divided by 104?
15
Suppose 0 = 163*d + 306 - 1610. Let k be (2 - 2)/(0 - -2). Suppose 0 = -2*r - 2*q + q + 65, -3*r + 2*q + 108 = k. What is the remainder when r is divided by d?
2
Let y = -41 + 58. Let x = y + 15. Suppose -323 = -5*a - n + 303, 4*a - 5*n - 495 = 0. What is the remainder when a is divided by x?
29
Suppose 0 = -5*a - 5*i + 690, -400 = -2*a - i - 120. Suppose 94*t + 98*t = 190*t + 62. Calculate the remainder when a is divided by t.
18
Let o be 10778/11 - (-12)/66. Suppose -28*m + o + 1512 = 0. Calculate the remainder when 440 is divided by m.
84
Suppose k + 568 = 4*m, -4*m - 5*k = 229 - 797. Let c = -56 + m. Calculate the remainder when c is divided by 568/26 + (-44)/(-286).
20
Let q = -42 + 79. Let c(m) = -24*m + 1. What is the remainder when c(-6) is divided by q?
34
Let j(i) = -24*i + 197. Let x be j(8). Suppose x*q + 6*q = 825. Suppose 2*a = -a + 48. Calculate the remainder when q is divided by a.
11
Let q(y) = y**3 + 9*y**2 - 3*y - 9. Calculate the remainder when 504 + -439 + (0 - -1) is divided by q(-9).
12
Let a be 2/(-7 - 111/(-15)). Suppose -5*p = -a*z + 115, -3*p + 57 + 36 = 3*z. What is the remainder when 160 is divided by z?
25
Let z(a) = -3*a + 9. Suppose 0 = -22*n + 2990 + 1542. Calculate the remainder when n is divided by z(-11).
38
Let q(v) = v**2 - 615*v + 5528. What is the remainder when 12061 is divided by q(9)?
73
Suppose -4*q - 3 = -g + 562, -2*q - 1745 = -3*g. Suppose 339 + g = 3*k + 3*m, -k = 4*m - 308. Calculate the remainder when k is divided by 62.
60
Suppose -8*x + 540 = -4*x. Let k = x - 130. Calculate the remainder when 42 is divided by k.
2
Let a = 9708 - -10787. What is the remainder when a is divided by 122?
121
Suppose 600 = 14*z - 9*z. Suppose -3*g + 3*m + 117 = 0, 3*g + 2*m - 4*m = z. Calculate the remainder when g is divided by -6*6/12 + 25.
20
Suppose 231*o - 5070 + 16626 = 267*o. Calculate the remainder when o is divided by 4.
1
Let z(o) = -o**2 + 8*o - 4. Let v be z(9). Let s(p) = -11*p - 11. Let w be s(v). Suppose 0*r = -4*r + w. What is the remainder when r is divided by 17?
16
Let u = -10759 - -10773. What is the remainder when 51 is divided by u?
9
Let o be 3/(0 + 15/40). Suppose -2*b - 5*n = -7, 0*b + b - 3*n = 20. Suppose o = -3*u - y + 91, -u + b = -3*y. Calculate the remainder when u is divided by 14.
12
Let f = -253 - -395. Let x = -28 + f. Suppose -5*p = 4*m - 98 - x, m = 3*p + 36. Calculate the remainder when m is divided by 5.
3
Let m(r) = 3*r**2 + 96*r + 200. Suppose -w = -5*w + 528. Suppose -j + 5 = 0, -k = -0*k - j - w. What is the remainder when k is divided by m(-30)?
17
Suppose -5*k - 106 = -3*h, -30*h - k = -25*h - 158. Let j(m) = -4*m + 55. Calculate the remainder when h is divided by j(6).
1
Suppose -z - 3 + 319 = 5*c, 3*z = c - 76. What is the remainder when 4093 is divided by c?
61
Let i(z) = -3*z - 10. Let o be i(-6). Suppose 9*w = 5*d + 10*w - 84, d - 2*w = o. What is the remainder when 111 is divided by d?
15
Let q = 48 - -35. Let o = -121 - -116. Calculate the remainder when q is divided by o + 3 + 8 + 0.
5
Let l(b) = -48*b + 674. Calculate the remainder when 6421 is divided by l(11).
143
Let m be ((-7)/(-2) + -2)/((-6)/(-12)). Let l(h) = 82*h + 27. Calculate the remainder when l(m) is divided by 46.
43
Let p be 0 - (84/(-3) - -3). Let g = p + -16. Let k(j) = 54*j + 6. What is the remainder when k(1) is divided by g?
6
Suppose 0 = 3*p - 49 + 16. Let c(q) = 38*q**3 - 6*q**3 + 2*q + 12 - 15. Calculate the remainder when c(1) is divided by p.
9
Let u = 27 - 14. Suppose -4*y + c = -27, -3*c + 10 = 2*y - 7. What is the remainder when u is divided by 2 + y/((-14)/(-4))?
1
Suppose -398 = -29*d + 501. Calculate the remainder when 106 is divided by d.
13
Let k(w) = -1367 + 137*w**2 + 680 + 670 - 18*w. Calculate the remainder when k(-1) is divided by 10.
8
Suppose -20*b = -21*b + 6. Let i(s) be the first derivative of 2*s**3/3 - s**2 - 7*s - 59. What is the remainder when i(b) is divided by 29?
24
Let k(b) = -5*b**3 + 2*b**2 - b - 1. Let o be (0 - -1)*2*(-6 + 5). What is the remainder when k(o) is divided by (-216)/(-48)*8/3?
1
Let i(b) = -b + 9. Let r be i(-5). Suppose 0 = -z, -x + 34 = 5*z + r. Calculate the remainder when (-3)/(-15)*283 - (-6)/(-10) is divided by x.
16
Suppose m + 4*t = 1077, -5*t = 26*m - 23*m - 3280. Calculate the remainder when m is divided by 267.
37
Suppose 43*h = 18*h + 1375. What is the remainder when 546 is divided by h?
51
Suppose -10*x - 315 = -19*x. Suppose x = -d + 2*d - 5*h, -5*d + h + 295 = 0. Let w = 61 - d. What is the remainder when w is divided by 1?
0
Suppose 24*q + 15*q - 2821 = 8*q. Calculate the remainder when q is divided by 43.
5
Let v(w) = 40*w**3 + 2*w - 1. Suppose -3*z - 6 = -3*t, 0 = t - 6*t - 5*z. What is the remainder when 80 is divided by v(t)?
39
Let j(b) = 92*b - 8. Let f be j(-2). Let q = 95 + f. Let a = -91 - q. Calculate the remainder when 13 is divided by a.
1
Suppose 165 = 12*y - 1407. What is the remainder when y is divided by 22?
21
Let w = 732 - 733. What is the remainder when 36 is divided by (58 + -49 + 1*w)*2?
4
Suppose -t = -2*t - i + 25, -t + 2*i = -10. Let p = -24108 + 24204. What is the remainder when p is divided by t?
16
Let c(p) = -p**2 + 12*p + 61. Let t = -208 - -222. What is the remainder when c(t) is divided by 19?
14
Suppose -5*o + 27 = -103. Let y(i) = -19*i + 3886. What is the remainder when y(202) is divided by o?
22
Let l = -40 - -40. Suppose l = -3*d - 0*d + 300. Suppose 5*k = 465 - d. What is the remainder when k is divided by 15?
13
Suppose -4*m + 10 = -6*m. Let v(w) = 6*w**2 - 12*w + 2. Let q be v(m). Let l = q - 145. What is the remainder when l is divided by 23?
21
Let n(o) = 13 - 5 + 16 + 378*o - 377*o. What is the remainder when 530 is divided by n(4)?
26
Let w = -61 - -745. Let t = w + -301. Calculate the remainder when t is divided by 32.
31
Suppose 4*h - 8*c + 7*c = 122, 5*h - 160 = 5*c. What is the remainder when 6 is divided by ((-36)/h)/(4/10 + -1)?
0
Suppose -25 = -11*n + 16*n. Calculate the remainder when 173 is divided by 2980/50 - (-3)/n.
55
Suppose -80*k + 3*v + 157 = -78*k, -2*v = 4*k - 274. What is the remainder when 481 is divided by k?
55
Let m be ((-2)/((-12)/(-10)))/((-2)/6). Suppose 155 - m = 25*p. Calculate the remainder when 12 is divided by p.
0
Let c = 13 + -10. Suppose -3*q = 2*x - 34, 0 = x + 3*x + c*q - 68. Let s = 301 + -203. What is the remainder when s is divided by x?
13
Let c(z) = 2*z**3 + 26*z**2 + 15*z - 48. Let t(j) = j + 23. Calculate the remainder when c(-12) is divided by t(-10).
8
Let i be (2/(-8))/(18/(-2664)). Let g = i - 13. Let w = -26 - -120. What is the remainder when w is divided by g?
22
Let p = -88 - -93. Suppose 0 = 2*x - 5*w - 2, -3*x - 10*w + p*w = -53. What is the remainder when 240 is divided by x?
9
Let b(w) = 4*w**2 + 13*w - 24. Let m be b(10). Suppose 20*s - 9*s = m. What is the remainder when s is divided by 27?
19
Let w(t) = 2*t**3 - 11*t**2 + 6*t + 4. Let s(n) = -3*n**3 + 22*n**2 - 11*n - 9. Let b(v) = 3*s(v) + 5*w(v). What is the remainder when b(-11) is divided by 6?
2
Suppose -2*v - 552 = -4*y, 5*y - 414 = 2*y - 4*v. Suppose -4*f = -7 + 23. Calculate the remainder when y is divided by 11 - f - (-1 + 2).
12
Let f = 4319 + -3989. Calculate the remainder when f is divided by 105.
15
Let r = -12005 - -20793. What is the remainder when r is divided by 17?
16
Let d =