8
Let i = -15 - -27. Let r(d) = d**2 - 20*d - 3. Let w be r(20). Let f = 37 + w. What is the remainder when f is divided by i?
10
Suppose 4*s - 79 = -3*n, -s = -5*n - 0*n + 9. Suppose s = 3*u - 11. Suppose -26 = -4*k - 18. Calculate the remainder when u is divided by k.
1
Let s = -520 + 540. Calculate the remainder when 74 is divided by s.
14
Suppose -15 = -3*r - 3*d, -4 = 3*d + 8. Calculate the remainder when 2401 is divided by r.
7
Let g(u) = -5*u - 42. Let c be g(11). Let j = -95 - c. Calculate the remainder when j is divided by 1.
0
Let m(j) be the third derivative of -13*j**4/24 - j**3/2 - 26*j**2. Calculate the remainder when m(-5) is divided by 16.
14
Let g(f) = f + 9. Let o be g(-7). Suppose -o*n + 12 = -6. Suppose -2*u - 5 = -2*s + 53, -3*s = 5*u - 127. What is the remainder when s is divided by n?
7
Suppose 27 - 187 = -4*g. Suppose -4*v + g = -24. What is the remainder when 45 is divided by v?
13
Suppose 23*m = 9019 - 233. What is the remainder when m is divided by 55?
52
What is the remainder when (7 - -1 - 5)*107 is divided by 46?
45
Let k(j) = j**2 - 2*j + 6. Let x be k(3). Let s(h) = -h**2 + 14*h - 10. What is the remainder when s(x) is divided by 12?
11
Let p = -98 - -206. Suppose -p = -7*n + 3*n. Calculate the remainder when n is divided by 2 + 68/17 - -1.
6
Let l = -158 - -801. What is the remainder when l is divided by 108?
103
Let d = -426 + 448. What is the remainder when 163 is divided by d?
9
Suppose 0 = -2*s - s + 18. Let y(k) = k**2 - 3*k + 1. Suppose -285 = -5*d + i, -3*i - 52 = -3*d + 131. Calculate the remainder when d is divided by y(s).
18
Let g(f) = -2*f - 45 + 4*f + 57 - 3*f. Calculate the remainder when 43 is divided by g(3).
7
Suppose -160 = -4*z + 2*v, 5*z + 172*v = 168*v + 174. What is the remainder when 46 is divided by z?
8
Suppose -d = -3*w + 3, -d - 4*d = -w - 13. Suppose -4*o = 8, -11 + 33 = d*v - 5*o. Let x(r) = 7*r + 9. What is the remainder when x(v) is divided by 19?
18
Let y = 14 - 7. Suppose -2*u + y*u = -20. Let w(n) = -2*n - 3. Calculate the remainder when 7 is divided by w(u).
2
Let g be 1/(-4) + 26/8. Suppose 0 = g*m - 3*r - 48, -2*m = -7*m - 5*r + 100. What is the remainder when m is divided by -2*3/21 + 316/28?
7
Let y be (-1)/(2 + 66/(-34)). Let g = 4 - y. Calculate the remainder when 41 is divided by g.
20
Let s be (4 + 30/(-9))*-3. Calculate the remainder when s/6*3*-11 is divided by 2.
1
Suppose -98 = 4*n + 54. Let l = n + -8. Let h = 78 + l. What is the remainder when h is divided by 17?
15
Let d(x) = -5*x - 2. What is the remainder when d(-33) is divided by 56?
51
Let m = 92 - 87. Calculate the remainder when 6 is divided by m.
1
Let q = 321 + -259. Calculate the remainder when 179 is divided by q.
55
Calculate the remainder when 116 is divided by ((-180)/(-198))/(2/44).
16
Suppose 495 = 10*l - 1305. Calculate the remainder when l is divided by 13.
11
Let l = 390 + -192. Let z(s) = 6*s - 4. Calculate the remainder when l is divided by z(4).
18
Suppose -2*h + 5*h - 6 = -r, 3*r = -h + 2. Let x(j) = 4*j**2 - 3*j - 3. Let b be x(3). Suppose -h*c - b = -204. What is the remainder when c is divided by 23?
21
What is the remainder when 320/480 + 1388/6 is divided by 55?
12
Suppose 4*p = 2 + 6. Let h(o) = -3 + 1 + p + 2*o**3 + o**2. What is the remainder when 6 is divided by h(1)?
0
Suppose 5*q + 436 = v, 13*v = 11*v + 5*q + 897. Calculate the remainder when v is divided by 21.
20
Suppose 733 = 4*o + 85. Calculate the remainder when o is divided by 42 + -3 - (1*-4)/2.
39
Suppose 0 = -2*q - 495 + 661. Calculate the remainder when q is divided by 27.
2
Calculate the remainder when -5 + (103 - (-8)/(-2)) is divided by 33.
28
Suppose 9*m - 5*m - 12 = 0. Suppose -q - 4*q + m*i + 19 = 0, 0 = 5*q + i - 27. What is the remainder when 19 is divided by q?
4
Let g(z) = z**3 - 7*z**2 + 18*z - 19. What is the remainder when g(7) is divided by 9?
8
Let z(m) = -m**3 - m**2 + 3*m + 4. Suppose 2*o + 12 = -3*k, -o - 8 = o + k. Calculate the remainder when 36 is divided by z(o).
10
Let f(h) = -h**3 + 12*h**2 - h + 15. Let s be f(12). Suppose -s*t + 50 + 190 = 0. Calculate the remainder when t is divided by 27.
26
Suppose 7*q - 45 = 4*q. Let b = 535 - 549. Calculate the remainder when 18 is divided by 3*1 + q + b.
2
Calculate the remainder when 219 is divided by (-36 - -55)/(1*(-1)/(-3)).
48
Suppose -2*r - 6*b + b + 384 = 0, 3*b = 5*r - 898. Suppose m - 62 = 4*q, 5*q + 3 = -m + 29. Calculate the remainder when r is divided by m.
44
Suppose -1060 + 3985 = 45*f. Calculate the remainder when 324 is divided by f.
64
Let f = -264 + 277. What is the remainder when 24 is divided by f?
11
Let v(q) = 3*q - 28. Let w(b) = 2*b**2 - 17*b - 15. Calculate the remainder when w(10) is divided by v(12).
7
Suppose -8 = 2*f, -d - 5*f + 3 = -10. Calculate the remainder when d is divided by 24.
9
Let s = 49 + -28. Let t = -54 + 334. Let q = -176 + t. Calculate the remainder when q is divided by s.
20
Let m(d) = -8 - 16 - 2*d - 5*d. Let s(z) = -3*z - 12. Let q(f) = 4*m(f) - 9*s(f). Calculate the remainder when 11 is divided by q(9).
2
Let i(v) = -56*v - 122. Calculate the remainder when i(-10) is divided by 74.
68
Let l = 87 - 87. Suppose 5*o = i - 42, 66 = 3*i - l*i - 3*o. Calculate the remainder when i is divided by 6.
5
Suppose -4*j - 3*i + 1087 = 0, 5 = 3*i - 2*i. What is the remainder when j is divided by 18?
16
Let m be 5*(2 - (3 + -3)). Let t = -7 + m. Suppose 5*d - 5*y - 1 - 9 = 0, t*y - 6 = -d. What is the remainder when d is divided by 2?
1
Suppose 131 = 4*u - u - 4*t, 3*u = -t + 136. Calculate the remainder when u is divided by 15/2*(-190)/(-57).
20
Suppose c - 10588 = -4*i, 34*i - 37*i - 3*c = -7932. What is the remainder when i is divided by 11?
8
Suppose m = -2*m + 12. Suppose -9 = m*t + 23. Let j = t + 20. What is the remainder when 23 is divided by j?
11
Let b be (1 - 2)/((-4)/8). Suppose 27 - 7 = b*p. Let d(x) = 8*x + 167. What is the remainder when d(-16) is divided by p?
9
Let r(s) = -s**2 - 10*s - 5. Let u be (-20)/(-9) + -3 + 75/27. Calculate the remainder when 2/u + -9 + 43 is divided by r(-6).
16
Suppose 0 = -12*y + 2*y + 1110. What is the remainder when y is divided by 17?
9
Suppose 3*h - 11 = 76. Suppose -3*z = -9*z + 330. Suppose -58 = -c + z. What is the remainder when c is divided by h?
26
Suppose -20*z + 45*z - 1475 = 0. What is the remainder when 173 is divided by z?
55
Let s be 287/14 - 1/2. Suppose 6*o + 2*c = o + 44, -3*o + 2*c + s = 0. Suppose -4 = -p - 8*f + 3*f, 2*p - o = 2*f. What is the remainder when 9 is divided by p?
1
Suppose -q = -k - 4*q + 74, -q = -4*k + 231. What is the remainder when 236 is divided by k?
0
Suppose 0*y = 3*y. Suppose 5*r - 187 - 8 = y. Suppose 0 = -x, 0*x = -i + x + r. What is the remainder when i is divided by 14?
11
Let w be (-2)/7 - 498/21. Let u = -12 - w. Suppose -5*q = -5*v + 120, q = -2*q + u. Calculate the remainder when v is divided by 10.
8
Let d = -15 - -16. Let m(i) = 27*i**2 + 2*i - 1. Let g(y) = -y**3 + 8*y**2 + 10. What is the remainder when m(d) is divided by g(8)?
8
What is the remainder when ((-26)/(-6))/((-90)/(-1080)) is divided by (0 + -19)*(1 + -2)?
14
Let x = -1208 + 1842. Calculate the remainder when x is divided by 64.
58
Let s = -319 + 327. Calculate the remainder when -1 - (3/(3/3) - 40) is divided by s.
4
Suppose 4*i - 3*i - 7 = 0. Suppose 0 = -i*r + r + 24. What is the remainder when 5 is divided by r?
1
Suppose -407 = -15*w + 133. What is the remainder when 323 is divided by w?
35
Suppose -4*x - 4*o - 13 = -1, -2*x + 3*o + 14 = 0. Let y(v) = 10*v**2 + 2*v - 3. What is the remainder when 116 is divided by y(x)?
8
Suppose 16 = 2*d + 2*v, 2*d - 7*d + 40 = -5*v. Let k be 21/6 - 3/6. Suppose 0*x - k = -x. What is the remainder when d is divided by x?
2
Let t(d) = -13 - 2*d - 10*d + 27 - 15. Let l be t(-1). Suppose 0 = -l*s + 8*s + 15. What is the remainder when 19 is divided by s?
4
Let q(k) = k**2 - 9*k + 14. Let s be q(7). Calculate the remainder when 38 is divided by 20 - (5/(-5) - s).
17
Let q(u) = -u + 12. Let v be q(8). Suppose -3*w = 5*p - w - 50, v*w = -4*p + 28. What is the remainder when p is divided by 5?
2
Let x = 1 - 0. Let j(r) = -r**3 + r**2 - r + 1. Let n be j(x). Suppose n = -0*g + 4*g - 64. Calculate the remainder when g is di