76 + 54. Let s = n - -47. What is the remainder when 6 is divided by s?
0
Suppose 0 = -2*o + 4*o + 2*o. Suppose o = -z - 3*m + 2, 6*z = z - 2*m + 10. Calculate the remainder when 3 is divided by z.
1
Let g(o) = -o**2 + 20*o + 48. Let m be g(22). Suppose -81 + 22 = -l - 5*h, -m*l + 5*h = -111. Calculate the remainder when l is divided by 20.
14
Suppose -568 = -8*v - 320. What is the remainder when 113 is divided by v?
20
Let d = -65 - -67. What is the remainder when 8 is divided by 54/10 + d/(-5)?
3
Suppose -4*h = -3*b + 22, -4*b = -4*h - 7 - 17. Let n = h - -6. Suppose 0 = k - 4*d - 36, 0*k + n*d + 28 = k. What is the remainder when 38 is divided by k?
18
Suppose -905 = -9*g + 22. What is the remainder when g is divided by (3/6 - -1)*14?
19
Let o(p) = 13*p + 4. Let z be o(3). Suppose 9 + z = -2*j. Let l = j - -56. Calculate the remainder when l is divided by 8.
6
Let u(y) = -3*y - 24. Let t be u(-10). What is the remainder when -1*(4 - 4 - t - 0) is divided by 3?
0
Let c(d) = d**2 + 7*d - 8. Let n(i) = i - 9. Let y be n(11). Suppose -y*p = 3*p - 90. What is the remainder when c(6) is divided by p?
16
Let x(b) = -30*b**2 + 96*b - 3. Calculate the remainder when 89 is divided by x(3).
14
Suppose 4*g + g - 5*l - 20 = 0, 2*g + 2*l = 0. What is the remainder when 105 is divided by 57/g + 1/2?
18
Let f = 438 + -96. What is the remainder when f is divided by 87?
81
Let b(i) = -11*i + 8. Suppose -2*z + 8*z + 54 = 0. Calculate the remainder when b(z) is divided by 12.
11
Let l(s) be the second derivative of s**3/6 + 3*s**2 - s. Let x be (-4 - -5)/((-10)/(-90)). Calculate the remainder when 26 is divided by l(x).
11
Suppose 218 = 15*b - 67. What is the remainder when (-4)/10 + 177/5 is divided by b?
16
Suppose -291 = -33*a + 270. Calculate the remainder when 64 is divided by a.
13
Suppose -5*d = -2*x + 7*x - 100, 4*x - d = 75. Suppose -3 = 18*t - x*t. Suppose -t*f = -4*f + 89. What is the remainder when f is divided by 30?
29
Let q(z) = z**2 - 4*z - 6. Suppose y - 3*u - 1 - 13 = 0, 3*y + 3*u = 78. Suppose -2*b = -b - y. What is the remainder when b is divided by q(6)?
5
Suppose p - 57 = -4*x - 11, 5*p - 135 = -x. Calculate the remainder when 43 is divided by p.
17
Suppose 2 - 4 = -w. Calculate the remainder when 9 - (8 - (6 - -1)) is divided by w.
0
Let s(p) = 6 + 8 + p - 3 - 1. Suppose -d = 5*u + 2*d - 28, 2*u - d = 20. What is the remainder when s(5) is divided by u?
7
Suppose 0 = 45*q - 61*q + 432. What is the remainder when 73 is divided by q?
19
Let b = 4 + -13. Let n(t) = t**2 + 8*t - 6. Let o be n(b). Suppose -5 + o = -a. Calculate the remainder when 6 is divided by a.
0
Suppose 12*w - 14*w - 4 = 0, 170 = 4*s + 3*w. What is the remainder when 332 is divided by s?
24
Let i be 2/(-5) - (-1908)/20. Let c = i + -58. Suppose 7*b - 3*b = 584. Calculate the remainder when b is divided by c.
35
Suppose -p + 6*p = 25. Let f(b) = -b**2 - 7*b - 3. Let v be f(-6). Suppose -q - 28 = -v*q. Calculate the remainder when q is divided by p.
4
Suppose 6*t - 94 = 194. What is the remainder when t is divided by 9?
3
Let t = 76 - 82. Let y(o) = -2*o - 4. What is the remainder when y(t) is divided by 2?
0
Let c(j) = 2*j**3 + 65*j**2 + 13*j + 165. Calculate the remainder when c(-32) is divided by 8.
5
Let p be (-10)/5 - (-300 + 1). Let i = -23 + p. Calculate the remainder when i is divided by 46.
44
Let n(d) = -d - 5. Let z be n(-10). Suppose -4*f = 5*s - 449, -479 = -f - 3*f + z*s. Let k = -65 + f. What is the remainder when k is divided by 13?
12
Let u(l) = -l**3 + 8*l**2 - 6*l - 7. Suppose 4*i + 0*i = 3*x + 220, 2*x = 0. Calculate the remainder when i is divided by u(6).
26
Suppose -311 + 73 = -14*r. Let i(g) = -3*g - 8. What is the remainder when i(-13) is divided by r?
14
Suppose -495 = -3*y - 0*y. Suppose -2*n = n + y. What is the remainder when (-253)/n + 4/10 is divided by 3?
2
Let a be ((-3)/2)/((-1)/(-2)). What is the remainder when (6/(-4))/(18 + (-1275)/70) is divided by 1/(9/(-6))*a?
1
Let g = 13 + -2. Suppose 0*i + 4*i - 20 = 0, -2*i + 174 = 4*w. Calculate the remainder when w is divided by g.
8
Suppose 2*a - 2*x + x - 8 = 0, -3*a + 2*x = -12. Suppose 0*n + 5*g + 217 = a*n, -g = 4*n - 187. Calculate the remainder when 94 is divided by n.
46
Let l = 30 - 26. Calculate the remainder when 18/(132/32 - l) is divided by 29.
28
Let h be (-26)/(-4) + (-120)/16 + 7. Suppose 4*k = 3*m - 19, 5*m - h - 74 = -3*k. What is the remainder when m is divided by 5?
3
Suppose -d - 2*d + 3 = -3*n, 2*d + 2*n + 14 = 0. Suppose -3*i - 50 = -8*i. Let j = i + d. What is the remainder when 17 is divided by j?
3
Let d(o) = o + 8. Calculate the remainder when 26 is divided by d(2).
6
Suppose 0 = -3*u - 0*u + 12. Suppose -159 = -u*x + n, -5*x - n = -2*n - 200. Calculate the remainder when x is divided by 14.
13
Let a(h) = h**2 + h - 11. What is the remainder when a(-12) is divided by 17?
2
Suppose 0 = 2*y - 62 + 28. What is the remainder when 67 is divided by y?
16
Suppose 5*g + 3*j - 57 - 62 = 0, -g + 21 = 2*j. Calculate the remainder when 147 is divided by g.
22
Suppose 0 = -5*b + i + 70, -2*b - 1 = -5*i - 29. Suppose -48*g = 25*g - 220 + 1. What is the remainder when b is divided by g?
2
Let l be (16/(-12) + 1)/((-1)/15). Suppose -l = -t - 0. Calculate the remainder when 27 is divided by t.
2
Let c = 183 - 28. Let y = c - 82. Calculate the remainder when y is divided by 19.
16
Let w = -54 - -48. What is the remainder when ((-468)/16 - w)/(6/(-16)) is divided by 21?
20
Let v = 81 + 59. Suppose 3*u + u + 5*y - v = 0, 2*u = -4*y + 70. What is the remainder when u is divided by 21?
14
Suppose 201 = 3*b - 1692. What is the remainder when b is divided by 79?
78
Suppose -d + 9 = 2*t, t + 13 = -42*d + 45*d. What is the remainder when 903 is divided by d?
3
Let s = -1705 + 2105. Calculate the remainder when s is divided by 31.
28
Suppose 31 + 5 = -b. Let x = -56 - b. Calculate the remainder when 34 is divided by (x/(-5) - 3) + 6.
6
Suppose -n + 64 = -3*z, 3*n + 3*z - 228 = -0*z. Calculate the remainder when n is divided by 15.
13
Suppose -167*m = -159*m - 5312. What is the remainder when m is divided by 221?
1
What is the remainder when (8/6*(-66)/4)/(-1) is divided by (-9)/4*(-96)/18?
10
Let n = 248 + -114. Calculate the remainder when n is divided by 20.
14
Let m(o) = -o**2 + 7*o - 6. Let y be m(4). Let h(q) = -5 - 7*q**2 + q + 26*q**2 + y. Calculate the remainder when h(-2) is divided by 19.
18
Let j be 4/(-6) + (-6584)/(-12). Let n = 243 - j. Calculate the remainder when 18 is divided by (-4)/(-18) + n/(-45).
4
Let b(z) = 20*z**2 + z. Let v = -27 - -26. Calculate the remainder when 112 is divided by b(v).
17
Let w(i) = -i**3 + 14*i**2 - 2*i - 38. Calculate the remainder when w(10) is divided by 338.
4
Let d(h) be the first derivative of -11*h**2/2 - 3*h + 13. Suppose a = 4*y + 3 + 4, -17 = -y + 4*a. Calculate the remainder when 118 is divided by d(y).
28
Let y(n) = -14*n**2 + 7*n - 3. Let t be y(3). Calculate the remainder when 33 is divided by 1/((-3)/t*4).
6
Let m(k) = 9*k + 108. What is the remainder when m(-8) is divided by 9?
0
Suppose 0 = 2*r - 5*g - 362, g = 240*r - 238*r - 362. Calculate the remainder when 2349 is divided by r.
177
Suppose -55*h = -42*h - 5252. What is the remainder when h is divided by 45?
44
Let q(k) = 91*k**2 - 15*k - 16. Calculate the remainder when 1168 is divided by q(-1).
88
Suppose 2*u - 3*u = -1. Suppose -n + 5*v = 2*n + 5, -5*n + v + 21 = 0. What is the remainder when n is divided by u?
0
Suppose 2*h = 5*h - 6. Suppose 0 = -7*t + 2*t + 4*c - 235, -5*c + 77 = -2*t. Let d = 60 + t. Calculate the remainder when d is divided by h.
1
Suppose 0 = -p + 2*p. Suppose p = 8*o - 3*o - 115. What is the remainder when o is divided by (-4)/(-8) - 25*(-2)/4?
10
Suppose 3*k + 5*w - 376 = 0, -2*k - 209 = -4*k + 5*w. Calculate the remainder when k is divided by 9/3 + -5 - -32.
27
Let b be 4/(4 + 10/(-5)). Suppose -4*d = 1 - 105. Calculate the remainder when d is divided by (-12)/8*b*-3.
8
Suppose -w - 36 = -3*w + 3*n, -w = -5*n - 32. Let r = w + -7. Let f(m) = -6*m - 11. Calculate the remainder when f(-3) is divided by r.
2
Suppose l - 2 = 1. Suppose -l*d + 4*q + 1 + 16 = 0, -16 = -2*d + 5*q. Let t = -14 + 21. Calculate the remainder when t is divided by d.
1
Suppo