10.
7
Let x(c) = c**3 - 7*c**2 - 17*c + 12. Let z be x(7). Let p = z - -119. What is the remainder when 22 is divided by p?
10
Suppose 0 = t - 6*t - 80. Let f(q) = q**2 + 16*q + 24. Let m be f(t). Calculate the remainder when 20 is divided by (-1)/((-99)/m + 4).
4
Let f = 53 - 13. Let c = f + -31. Suppose -2*j + 51 = j. What is the remainder when j is divided by c?
8
Suppose 24 = 2*t + 10*t. Suppose t*a + 2*m - 164 = -3*a, 2*m + 142 = 4*a. What is the remainder when a is divided by 7?
6
Let c(y) = 21*y**3 - 5*y + 3. Let o be c(3). Suppose w - o = -4*w. Let u = w - 54. Calculate the remainder when u is divided by 20.
17
Suppose -792 = -56*g + 48. Calculate the remainder when 267 is divided by g.
12
Suppose 5*l - 25 = -j + 3, 2*j = -3*l + 21. Suppose l*u - 184 = 21. Suppose -2*x - 11 + u = 0. What is the remainder when 42 is divided by x?
12
Suppose -5*j = 2*x - 42, -4*j + 7*j - 4*x - 46 = 0. What is the remainder when 96 is divided by j?
6
Let m = 481 - 407. Calculate the remainder when m is divided by 3.
2
Let b = 27 + -33. What is the remainder when 9/b*(-680)/30 is divided by 11?
1
Suppose 863*r - 96 = 857*r. What is the remainder when 0 + -1 + 1 - -79 is divided by r?
15
Suppose -2*u = -3*s - 38 + 108, -u + 30 = s. Calculate the remainder when 697 is divided by s.
21
Let l(o) = o**3 - 4*o**2 - 8*o - 2. What is the remainder when 57 is divided by l(6)?
13
Suppose 3*y - 2*y = 2. Suppose y*p - p + 1 = 0, p = -g + 92. Suppose 5*f - 128 = -k + 101, k + g = 2*f. Calculate the remainder when f is divided by 16.
14
Let u(a) = -57*a - 17. Calculate the remainder when u(-4) is divided by 36.
31
Suppose 7*l + 10 = 115. Calculate the remainder when 610 is divided by l.
10
Let d(h) = 3*h**3 - 3*h**2 - h + 2. What is the remainder when (44 - 0) + (-13 - -13) is divided by d(2)?
8
Calculate the remainder when 0 + -7 + (137 - 25) is divided by 27.
24
Let n(c) = -3*c**3 + 4 + 10*c**2 + 4*c**3 - 10. Let k be (-133)/532 - (1 + 62/8). Calculate the remainder when n(k) is divided by 19.
18
Suppose 2*j + 9 = r, -3*j + 10 = 2*r - 29. Calculate the remainder when r is divided by 3.
0
Suppose -s + 0*s + 40 = 5*j, 0 = j - 3*s - 8. What is the remainder when 27 is divided by j/(-2) + (-150)/(-15)?
3
Let k(x) = -16*x - 9. What is the remainder when k(-8) is divided by 60?
59
Let s = 11 - 7. Suppose i - 34 = 5*v - 1, 2*v - 110 = -s*i. Calculate the remainder when 110 is divided by i.
26
Suppose -140 = 157*h - 162*h. Calculate the remainder when 60 is divided by h.
4
What is the remainder when 115 is divided by (-28)/(-1) - -1*(-2 - -4)?
25
Suppose -2*v + 14 = 5*p - 21, -v + 4*p - 2 = 0. Suppose -33 = 7*h - 8*h + 5*b, -3*h = 5*b - 159. What is the remainder when h is divided by v?
8
Let d(b) = b**2 + 17*b - 36. Let n be d(2). Suppose -j = 2 - 0. Calculate the remainder when 14 is divided by 1/n + (-15)/j.
6
Suppose 5 = 2*h - 5, 3*n - 5*h = 29. Let o(g) = -2*g**3 + 22*g**2 - 47*g. What is the remainder when o(5) is divided by n?
11
Let p(t) = 4*t - 3. Let r be p(5). Let b = -11 + r. Suppose -81 = -b*a + 3*a. What is the remainder when a is divided by 7?
6
Let m(o) = o + 32. Let d be m(17). Suppose 0 = -5*l + d - 34. What is the remainder when 13 is divided by l?
1
Let s = 25 + 10. Let c = 70 - s. Calculate the remainder when c is divided by (-50)/(-4) - 2/(-4).
9
Let g be 283 - ((-3)/15 + 32/10). Suppose 242 = 6*n - g. Calculate the remainder when n is divided by 11.
10
Suppose 0 = 10*m - 8*m - 36. Let s = 56 - 82. What is the remainder when (s/(-3))/((-4)/(-24)) is divided by m?
16
Suppose 0 = -5*o + 25 + 45. Let t = 3 + 0. Calculate the remainder when t is divided by o/21 + (-2)/(-6).
0
Suppose 4*y = z + 1433, 3*y + 3*z - 713 = y. Let u be y/(-4) + 11/(-22). What is the remainder when 1 + 0 + (3 - u) is divided by 24?
22
Let q = -1788 - -1896. Calculate the remainder when q is divided by 64.
44
Suppose -w + 0*w - 28 = 0. Let q = -19 - w. Calculate the remainder when 61 is divided by q.
7
Suppose 9*x - 60 = 210. Calculate the remainder when x is divided by 1*(-22)/2*-1.
8
Let j = 371 - 339. Calculate the remainder when j is divided by 21.
11
Let b(p) = -2*p**3 - 1. Let s(q) = q**3 - 8*q**2 - 2. Let m be s(8). What is the remainder when 40 is divided by b(m)?
10
Let x = -20 - -60. Suppose -x = 2*q - 2*p, 0*q + 2 = -q - 5*p. Let t = 8 - q. What is the remainder when t is divided by 13?
12
Let c = -4 + 6. What is the remainder when 25 is divided by c - (-65)/(-26)*(-4)/2?
4
Let b = -18 + 33. What is the remainder when (-28)/(-12) + -2*427/(-21) is divided by b?
13
Suppose 0 = 2*y - 12. Let w = -57 - -122. Calculate the remainder when w is divided by 585/36 - y/(-8).
14
Suppose 2*d + 0 - 4 = 0. Suppose 2*t - 6*t - 312 = 0. Let c = 81 + t. Calculate the remainder when c is divided by d.
1
Suppose -5 + 32 = b. Let x(i) = i**3 + 16*i**2 + 24*i - 46. Calculate the remainder when b is divided by x(-14).
7
Let u(v) = 2*v + 37. Let m be u(-20). What is the remainder when (m - (-15)/6)*-16 is divided by 4?
0
Suppose -6*x + 16 = -26. Suppose -5*l = -x*v + 2*v, -3*l = 3*v - 18. Suppose o + 12 = -4*q, -3*o - 7 = 5*q + 1. Calculate the remainder when o is divided by l.
1
Let y = -580 + 1032. What is the remainder when y is divided by 19?
15
Let c = 36 + -32. Suppose 28 = 4*s - c. Calculate the remainder when 37 is divided by s.
5
Let n = -107 + 137. What is the remainder when 99 is divided by n?
9
Calculate the remainder when ((-11)/(-44))/((-4)/(-1200)) is divided by 22.
9
Suppose -17*m + 186 = -630. Suppose -2*v + 120 = -162. What is the remainder when v is divided by m?
45
Let h(g) = g**3 - g - 4. Let s be h(0). Let c = s - -2. Let u(x) = -x**3 + 3*x**2 + 4*x + 2. What is the remainder when u(c) is divided by 3?
2
Suppose 25*k + 12*k - 3145 = 0. What is the remainder when k is divided by 53?
32
Let n(d) = 2*d - 15. Suppose 17 = 4*j - 19. Let w = -8 + j. Calculate the remainder when w is divided by n(8).
0
Let g(x) = -41*x**3 - 2*x**2 - x. Let i = 31 - 22. Calculate the remainder when g(-1) is divided by i.
4
Let x = 0 - -5. Suppose x*r - 151 = -61. What is the remainder when (-1207)/(-34)*(1 + (-1 - -2)) is divided by r?
17
Suppose 2*x - 136 = 7*m - 9*m, 0 = -4*m + 3*x + 265. What is the remainder when m is divided by (-7)/(-2)*(10 + 0)?
32
Suppose 0 = -b - b + 22. Let q be (48/72)/(-1 - 7/(-6)). Suppose 3 - 11 = -k - q*r, r = -k + 5. Calculate the remainder when b is divided by k.
3
Let y(c) = c**2 + 7*c - 2. Suppose -2*x + 59 = 3*o + 3*x, 42 = 2*o + 2*x. What is the remainder when o is divided by y(-8)?
5
Let l = 61 + -35. Suppose -5*c = -2*o - 112, 3*o + 10 + l = 2*c. What is the remainder when (69/(-9))/(2/(-18)) is divided by c?
21
Let l(y) = -32*y + 17. Let j be l(2). Let i = 70 + j. Calculate the remainder when 67 is divided by i.
21
Calculate the remainder when ((-40)/(-15) - 2) + (-1012)/(-12) is divided by 45.
40
Let z = 6 + -10. Let f(q) = -13*q. Calculate the remainder when f(z) is divided by ((-4)/5)/(102/(-2295)).
16
Suppose 4*f - 2*d - 10 = 0, 0*f - f + 2*d = -10. Suppose f*o - 2 = 2*o, 3*p + o = 35. Let g(j) = -j + 27. Calculate the remainder when g(-19) is divided by p.
10
Let u(t) = 13*t**3 + 2*t**2 - 3*t + 1. Calculate the remainder when 58 - (1 - ((2 - 5) + 4)) is divided by u(1).
6
Calculate the remainder when (-13)/6 - -2 - (-8806)/204 is divided by 40.
3
Suppose 4*b + b - 30 = 0. Suppose 0 = r - 3 - b. Suppose -6*k + 96 = -2*k. Calculate the remainder when k is divided by r.
6
Let o = -10 - -10. Suppose 0 = -o*l - 4*l + 60. Let w(h) = -h**3 + 5*h**2 + 5*h + 2. Calculate the remainder when w(-3) is divided by l.
14
Suppose s + s = -3*w, 5*w = -5*s + 10. What is the remainder when (116/(-20))/((-3)/(-30)*-2) is divided by s?
5
Let t = 1157 + -1001. Calculate the remainder when t is divided by 12.
0
Calculate the remainder when 1897 is divided by ((-23)/(-5) - 1)*(-50)/(-20).
7
Let h(d) = 6*d - 42. What is the remainder when 231 is divided by h(16)?
15
Let c(r) = -r**3 + 10*r**2 - 7*r + 3. Let h be c(9). What is the remainder when 729/h - (-6)/21 is divided by 12?
11
Let o(x) = -316*x - 1032. Calculate the remainder when o(-4) is divided by 116.
0
Let r(n) = -n**2. Let m(d) = -12*d**2 - d + 1. Let p(g) = -m(g) + 6*r(g). Calculate the remainder when (-2 + 18/