2
Let p(a) = 4*a**2 - 31*a + 23. Calculate the remainder when 19 is divided by p(7).
1
Let g = -76 - -194. Calculate the remainder when g is divided by 26.
14
Suppose -a = -4*f + 66 + 80, -2*f + 2*a + 76 = 0. Calculate the remainder when f is divided by 24.
12
Let f = 62 - 69. Let c = -92 + 129. Calculate the remainder when c is divided by 1781/91 - 3/f.
17
Let n(t) = 2*t. Let k be n(3). Suppose -u + k = -4*u. Calculate the remainder when u + 3/2*14 is divided by 10.
9
Let r(m) = -4*m - 39. Let f(a) = -a**2 + a - 16. Let s be f(0). Calculate the remainder when 71 is divided by r(s).
21
Let y(h) = -6*h**3 - h**2 - 2*h - 1. Let c be y(-1). Suppose -c = -w + 1. Let q = 169 - 165. Calculate the remainder when w is divided by q.
3
Calculate the remainder when -3 + (5 - -4 - -850) is divided by 39.
37
Suppose -6*o + 17 = 5. Suppose 0 = -14*g + o*g + 264. What is the remainder when g is divided by 9?
4
Suppose -9*q + 143 = 4*q. What is the remainder when 339 is divided by q?
9
Suppose 5*b - 17 = -12, -2*h = -3*b - 469. What is the remainder when h is divided by 43?
21
Let j = 540 + -516. What is the remainder when 162 is divided by j?
18
Let y(u) = 34*u**2 + 7*u + 10. Calculate the remainder when y(5) is divided by 69.
67
Let z = -500 + 780. Let a = z + -193. Calculate the remainder when a is divided by 22.
21
Let p(w) = 14*w**2 + 2*w - 10. What is the remainder when p(-4) is divided by 16?
14
Suppose 0 = -21*l + 4*l + 425. Let p(h) = 1 + 6*h + h**2 - h - 3*h - h. Calculate the remainder when p(-9) is divided by l.
23
Suppose -3*o + 8*o - 20 = 0. Suppose -2*y + o*y = g + 49, y - g - 22 = 0. What is the remainder when y is divided by 11?
5
Suppose 11*f - 53 = 9*f + 5*q, -f - 5*q + 34 = 0. What is the remainder when 114 is divided by f?
27
Let o = -1 - -2. Calculate the remainder when 26/(-728)*-28 - 1*-1 is divided by o.
0
Let c(p) = p**3 + 11*p**2 + 14*p - 22. What is the remainder when 66 is divided by c(-9)?
10
Let f(a) = a**2 - a. Let i be f(-3). Suppose -i = 3*b - 6*b. Suppose 0 = -2*c + 3*c - 3. Calculate the remainder when b is divided by c.
1
Let b = -13 - -18. Let k(g) = -g**2 + 22*g + 23. Let x be k(17). Suppose -b*r = -r - x. What is the remainder when 106 is divided by r?
25
Let m = -20 + 20. Suppose 4*o = -u + 114 - 42, -u + 5*o + 54 = m. What is the remainder when u is divided by 14?
8
Let r = 41 - 32. Suppose 0*y - r*y = -162. Calculate the remainder when 68 is divided by y.
14
Let x = -13 + 15. Suppose 0 = -3*r - x + 14. Suppose 0 = 4*y + d - 244, y + r*y + 2*d = 305. Calculate the remainder when y is divided by 21.
19
Suppose -n = -4*z - 267, 0 = -3*n + 2*z - 4*z + 829. Suppose -w = -6*w + n. Calculate the remainder when 108 is divided by w.
53
Let t(j) = 2*j**3 - 3*j**2 + 2*j + 2. Suppose c + 4*c = 0. Calculate the remainder when t(3) is divided by (57/(c - 3))/(-1).
16
Let v(y) = y**3 - 4*y**2 + y - 2. Let z be v(4). Suppose -4*f = z*k + 48, -88 = 5*k + f + f. Let g = k + 32. What is the remainder when g is divided by 10?
6
Let q = -20 - -24. Suppose 4*y + 3*f = 31, y - q*y + 3*f = 3. Calculate the remainder when (-5)/2*2*-1 is divided by y.
1
Let o = 540 - 398. What is the remainder when o is divided by 47?
1
Suppose 29 = 3*j - 67. Suppose 628 = 5*q + i, -i = 4*q - 5*i - 488. What is the remainder when q is divided by j?
29
Suppose 5*n + 7 + 8 = 0, y - 5*n - 77 = 0. Calculate the remainder when y is divided by 2/14 + (-1620)/(-126).
10
Suppose 0 = 4*z + z - 75. Suppose 341*n - 12623 - 1017 = 0. What is the remainder when n is divided by z?
10
Let x = 8 + -5. Let r(z) = z**3 - 11*z**2 + 12*z - 10. Suppose -8*n + 0*n = -80. What is the remainder when r(n) is divided by x?
1
Let n = -34 - -51. Calculate the remainder when (36/(-24))/(6/(-124)) is divided by n.
14
Let b(q) = -29*q - 7. Let g be b(-12). Suppose 7*l - 18*l + g = 0. Calculate the remainder when 74 is divided by l.
12
Suppose -85*j + 363 = -52*j. What is the remainder when 61 is divided by j?
6
Calculate the remainder when 243 is divided by 2 + -4 + 4/2 - -63.
54
Suppose 0 = -15*u + 2246 - 326. What is the remainder when 1147 is divided by u?
123
Let m = -495 - -553. What is the remainder when m is divided by 4?
2
What is the remainder when (-2 - 21/(-9))*321 is divided by 10?
7
Let l(p) = p**3 + p**2 - p - 1. Let o be l(-1). Suppose q - 2*q - 3*c + 45 = o, 0 = q + 2*c - 44. Let m = -7 + 22. What is the remainder when q is divided by m?
12
Let h(a) = -a**3 + 45*a**2 + 16*a + 44. Calculate the remainder when h(45) is divided by 13.
10
Let x(v) be the second derivative of v**3/6 + 21*v. Calculate the remainder when x(11) is divided by 7.
4
Calculate the remainder when 245 is divided by (64190/(-75))/(-14) + (-4)/30.
1
Let a(g) = g + 3. Let x = 2 - -2. Suppose 3*n + 63 = 3*p, 0 = -3*p - x*n + 83 + 8. What is the remainder when p is divided by a(4)?
4
Let s(n) = -n**2 + 24*n - 3. Suppose 127 - 37 = 5*d. Calculate the remainder when s(22) is divided by d.
5
Let h(q) = -2*q + 2. Let d be 7 - 5 - (-9 - 1). What is the remainder when h(-18) is divided by (-60)/9*d/(-8)?
8
Suppose 5*m - 7 = -2*w, 3*w + 5*m = 13 + 10. Let q = w + -24. Calculate the remainder when q/(-14) - (-2118)/42 is divided by 27.
24
Let l be 13/3 - 10/(-15). Suppose -24 = -u - l*f, -12 = -u - 3*f + 6. Calculate the remainder when u is divided by 3.
0
Let a(v) = v**2 - 5*v + 2. Let s be a(4). Calculate the remainder when (s - -23 - -1)*(-1)/(-2) is divided by 5.
1
What is the remainder when 63 is divided by 5 - ((-413)/14 + 9/6)?
30
Let d = 23 + 24. Suppose 8 = q - 2*a, 3 = 2*a - 1. Calculate the remainder when d is divided by q.
11
Suppose -16 = -5*q - 1. Let g(i) = 13*i**2 + 2*i - 1. Let l be g(1). Suppose c = -k + l, 2*k - 46 = -4*c - 8. What is the remainder when k is divided by q?
0
Let j = -162 - -211. What is the remainder when 145 is divided by j?
47
Suppose 2*m + 5*a - 41 = 0, 47 = 4*m - 2*a - 47. Suppose 5*y + 94 = 4*c, 0 = -c + 3*y - 2*y + m. Calculate the remainder when c is divided by 6.
3
Let q(o) = -2*o - 4. Let d be q(-4). Suppose 0 = -8*x + 5*x - d*b + 2, 5*x - 10 = -5*b. What is the remainder when x is divided by 2?
0
Calculate the remainder when 403 is divided by (-76)/95 - (488/(-10) + 3).
43
Let d(u) = -18*u - 7. Suppose -2*p = -45 - 3. Let x = 2 + p. Calculate the remainder when d(-6) is divided by x.
23
What is the remainder when 3/(-9) - (-60700)/75 is divided by 21?
11
Let m(d) = 323*d**2 - 16*d - 14. What is the remainder when m(-1) is divided by 112?
101
Suppose -d + 46 = 5*q - 4*d, -4*q + 26 = 3*d. What is the remainder when 85 is divided by q?
5
Calculate the remainder when 69 is divided by (8/12)/(21/18 + -1).
1
Let h be (2/10 - 147/35) + 98. Suppose h = 4*i + 34. Calculate the remainder when (-1)/4 + (-351)/(-12) is divided by i.
14
Suppose 4 = -l - l. Let v be l - (3 + (-8 - -3)). What is the remainder when 16 is divided by 6 + (3 - v/(-2))?
7
Let d be 7/3 - (-11)/(-33). Suppose 0 = -d*x + 5*x - 147. Suppose -5*q + 95 = 4*h, -3*h - 3*q + x = -h. Calculate the remainder when h is divided by 6.
2
Suppose -5*r + 49 = -3*m, -r = -4*m + 5*m + 3. What is the remainder when 82 is divided by 2/m + (2 - 1127/(-28))?
40
Suppose 3*l - 96 + 39 = 0. Calculate the remainder when 142 is divided by l.
9
Suppose -4 = i, -8*z - 5 = -3*z + 5*i. Suppose -3*k - 2*k - 14 = -b, 0 = -z*b + k + 28. What is the remainder when 13 is divided by b?
4
Let j = 1558 + -770. Calculate the remainder when j is divided by 5.
3
Let g = 57 + -55. Suppose -g*x + 210 = -0*x. Calculate the remainder when x is divided by 18.
15
Let l be -3*6/(-18)*-153. Let o = 215 + l. What is the remainder when 120 is divided by o?
58
Let u(g) = 4*g**3 + 16 - 4*g**2 - 5*g**3 - 4*g**2 + 13. What is the remainder when 85 is divided by u(-8)?
27
Suppose -496 - 1094 = -10*o. Let v = -113 + o. Calculate the remainder when v is divided by 12.
10
Let x(b) = b**3 - 3*b**2 - 13*b + 20. Calculate the remainder when x(7) is divided by 23.
10
Suppose 4*z + 40 = 2*r - 5*r, -8 = 2*r. Let c = 9 + z. Suppose 3*b - p - 125 = -0*p, -78 = -2*b - c*p. What is the remainder when b is divided by 11?
8
Let z = 4086 - 4070. Suppose 0*l = 4*l + k - 121, -2*l - 3*k = -63. What is the remainder when l is divided by z?
14
Suppose 0 = 5*w + 4*m - 100, -5*w + 3