10).
4
Suppose 2*o + 2*o - 16 = 0. Let l = 19 + o. Let y = l - 11. What is the remainder when y is divided by 7?
5
Suppose -4*v + 377 = -q, 8*q - 183 = -2*v + 3*q. What is the remainder when v is divided by 24?
22
Suppose 232 = 7*y - 118. What is the remainder when y is divided by 8?
2
Suppose 2*o = 2*c - 24, -4*c + 3 = -5*c - 2*o. Calculate the remainder when 13 is divided by c.
6
Let j(w) = 2*w**2 + 3*w - 3. Calculate the remainder when 31 is divided by j(2).
9
Suppose -3*m = -4*c - 19, 0*c - 5*c - 10 = -m. Suppose -34 = -m*z + 4*z. What is the remainder when z is divided by 12?
10
Suppose -t + 0*t = -5. Let q be 2/(-8) + 27/12. Suppose h + q*h - 6 = 0. What is the remainder when t is divided by h?
1
Let i = 53 - 28. Let l(z) = -z**2 + 9*z + 2. Let t be l(5). Let j = t + -9. Calculate the remainder when i is divided by j.
12
Let k(g) be the third derivative of g**5/30 + g**4/12 + g**3/2 + 5*g**2. What is the remainder when 42 is divided by k(-3)?
12
Calculate the remainder when (-1)/(-1) - 228/(-6) is divided by 20.
19
Let d = 4 - 2. Suppose 4*w - d*t - 109 = 3*t, 5*w + 4*t = 85. What is the remainder when w is divided by 11?
10
Let q = -14 - -20. Calculate the remainder when 20/4*q/10 is divided by 2.
1
What is the remainder when -5 - (-16 + (-8)/2) is divided by 9?
6
Suppose 70 = 12*j - 7*j. Calculate the remainder when j is divided by (-1)/(-3) - 28/(-6).
4
Let j(m) = -m - 4. Let s be (-2)/2 + (4 - 2). Let a(u) = 10*u**3 + 2*u**2 - 1. Calculate the remainder when a(s) is divided by j(-8).
3
Let p be (2/3)/((-8)/(-36)). Calculate the remainder when (0 - 2*-1) + 8 is divided by (p + -6)*-1 + 3.
4
Let v(z) = -z + 7. Let c(d) = d - 14. Let h(s) = -4*c(s) - 9*v(s). Let j = 47 + -41. Calculate the remainder when h(j) is divided by 8.
7
What is the remainder when 27 is divided by (-924)/(-99)*1/(4/6)?
13
Let w = 21 + -7. Suppose 0*s - s = -w. What is the remainder when 26 is divided by s?
12
Suppose 0*p = -3*u + 3*p - 48, 5*p = -3*u - 8. Let z be (2 + -2 - u) + -1. What is the remainder when 18 is divided by (-4)/z - (-148)/20?
4
Suppose -k - 4*k = -45. What is the remainder when 15 is divided by k?
6
Suppose -3*j = -w + 2*w - 65, 0 = 3*j - 2*w - 68. Calculate the remainder when 41 is divided by j.
19
Let n(p) = 2*p**2 - 4*p - 1. What is the remainder when n(-4) is divided by 12?
11
Let q(i) = -i**3 + i + 8. Let z = 10 + -1. Suppose 0 = w - 31 + z. Calculate the remainder when w is divided by q(0).
6
Let v(b) = 3*b**2 - 5. Let s(m) = -m**2 + m + 1. Let n(t) = -4*s(t) - v(t). What is the remainder when 51 is divided by n(6)?
12
Suppose 7*a = a + 18. Suppose 13 = 2*t + 3*v, -4*v + v - 22 = -5*t. What is the remainder when t is divided by a?
2
Let r = -11 + 116. What is the remainder when r is divided by 27?
24
Let t = -7 - -33. Let o = -6 + 8. Let a(x) = 4*x + 1. Calculate the remainder when t is divided by a(o).
8
Suppose 9*u + 55 = 5*f + 4*u, 5*f = 4*u + 50. Let s = 3 - 1. What is the remainder when f is divided by s?
0
Calculate the remainder when (3/18 - (-4)/(-24)) + 33 is divided by 5.
3
Suppose -1 = m + 2. Let w = m + 1. Calculate the remainder when 22 - w - 3/3 is divided by 8.
7
Let o = -1 - -2. Suppose 5*k - 3 = 3*d - 1, -k + d = 0. Calculate the remainder when (-2 + k)/((-1)/2) is divided by o.
0
Let r(s) = -3*s + 69. Calculate the remainder when r(0) is divided by 18.
15
Suppose -a - 4*x - 5 = x, 2*a = x + 12. Suppose t - a = -1. Suppose 5*k - 5*n - 15 = -0*n, k - 4*n = 6. What is the remainder when t is divided by k?
0
Let l(h) = -h + 20. What is the remainder when 15 is divided by l(8)?
3
Let n(l) = -1. Let c(t) = -2*t - 4. Let a(w) = -3*c(w) + 12*n(w). What is the remainder when a(2) is divided by 7?
5
Let t(i) = 4*i + 3. Suppose 2*a - 5*o = 33, -6*a = -2*a + 5*o + 9. What is the remainder when 56 is divided by t(a)?
18
Suppose -l + 18 = -3*j, -5 - 3 = -4*l - 4*j. Suppose l*f = 3*f + 51. Calculate the remainder when 50 is divided by f.
16
Let x(k) = k**3 - 3*k**2 + 3*k. What is the remainder when 43 is divided by x(3)?
7
Let q = -123 + 184. What is the remainder when q is divided by 31?
30
Suppose -3*c = -0 + 9. Let l(d) = d**2 - 7. What is the remainder when 3 is divided by l(c)?
1
Let n(w) = 6*w - 18. Suppose -3*h = -5*m + 221, 3 + 3 = 2*h. What is the remainder when m is divided by n(5)?
10
Let i(r) be the first derivative of 2*r**3/3 + r**2/2 - 2. Calculate the remainder when 16 is divided by i(-2).
4
Let h = -22 + 37. What is the remainder when (-3)/((-27)/(-168))*3/(-2) is divided by h?
13
Let d(u) = -u - 2. Let p be d(-4). Suppose 0 = 3*x + p*x - 170. What is the remainder when x is divided by 7?
6
Suppose 11*q - 371 = 69. What is the remainder when q is divided by 7?
5
Let a(b) = -6*b - 1. What is the remainder when (-4)/(-38) - 3*1284/(-228) is divided by a(-1)?
2
Let y = -8 - -11. Suppose 9 = y*n - 24. What is the remainder when n is divided by 7?
4
Let b = -2 - -5. Calculate the remainder when b + -2 + -2 + 25 is divided by 13.
11
Let n(i) = i**3 - i**2 + 5*i + 2. Let d be 3/5 + (-12)/(-5). Calculate the remainder when 138 is divided by n(d).
33
Let d be (1 - 1)/(12/6). Let r = d + 1. Calculate the remainder when 1 - -1 - (2 + -2) is divided by r.
0
Suppose -2*y + 37 = 11. Calculate the remainder when y is divided by 3.
1
Suppose -2*g + 14 = -4*b, -7 - 2 = -b + 3*g. Let x(w) = w**3 + 8*w**2 + 9*w + 3. What is the remainder when x(b) is divided by 11?
10
Let c be 2/5 - (-24)/15. Let j be 2 + -6 + c + 5. Suppose 0 = j*p + 3*q - 75, 2*p - 3*q = -0*q + 25. What is the remainder when p is divided by 7?
6
Let g(s) = s**2 + 4*s - 8. Let d be g(-6). Let f = 12 + d. Suppose 6*p - 218 = p + 4*z, 193 = 4*p + 3*z. What is the remainder when p is divided by f?
14
Let v(p) = -p**2 + 17*p - 19. Let o be v(13). Suppose o = q - 3. What is the remainder when q is divided by 13?
10
Let i(c) = c**2 - 7*c - 7. Let z be i(-5). Suppose -z = -4*j + 3. What is the remainder when j is divided by 8?
6
Let w(d) = -d - 11. Let j be w(-11). Suppose j = 2*l + 3*l - 15. What is the remainder when 17 is divided by 5/((-10)/(-6)) + l?
5
Let q(z) = z + 3. Let w be q(-4). Let i(k) = 5*k**2 + k. Let y be i(w). Suppose -2*h - 26 = -y*h. Calculate the remainder when h is divided by 5.
3
Suppose 4*h - 3*x = 0, -5*h + 3*h - 3*x = 0. Suppose 4*n + h*n = -64. Calculate the remainder when 15 is divided by (-62)/(-8) + (-4)/n.
7
Suppose 3*y - 31 + 13 = 0. Let w = 6 - y. Suppose -5*h - 10 = 0, w*q - 2*q + 10 = 2*h. Calculate the remainder when 13 is divided by q.
6
Suppose 0*z - 3*z = 9. Let m = 0 - z. Suppose 5*g = g + 8. Calculate the remainder when m is divided by g.
1
Let g = 2 + 4. Let u be 479/6 + 2/12. Suppose u - 32 = 3*y. What is the remainder when y is divided by g?
4
Let z be -1*2*(-1)/(-2). Let v = z + 4. Suppose -61 = -5*q + f, -q + 8 = -v*f - 7. Calculate the remainder when 23 is divided by q.
11
Let k(a) = -2*a**3 - 5*a**2 - 5. Suppose 0 = -0*o - 5*o + 4*h - 292, 3*o + 178 = h. What is the remainder when k(-4) is divided by ((-4)/8)/(2/o)?
13
What is the remainder when 51/85*(-1*2 - -7) is divided by 1?
0
Let u = 63 - 17. Let n = 6 - -10. Calculate the remainder when u is divided by n.
14
What is the remainder when (8/4)/(12/66) is divided by 4?
3
Let f = 14 - -5. Calculate the remainder when 92 is divided by f.
16
Suppose 5*s = f + 25, -2*f + 9 - 29 = -4*s. Suppose 7*k - 3*k - 217 = -s*j, -4*k = 8. What is the remainder when j is divided by 16?
13
Suppose -2*s + s + 3 = 0. Suppose s*x = 0, -3*x + 18 = 2*m - 18. What is the remainder when 52 is divided by m?
16
Let k(c) = 2*c + c**2 - 4 + 5 + 2. Calculate the remainder when k(-4) is divided by 3.
2
Suppose 2*s - 4*s = 3*f - 52, 29 = f + 3*s. Calculate the remainder when 25 is divided by f.
11
Let m = 3 + -3. Suppose -3*i = -f - 1, m*f = 5*f + i - 11. Calculate the remainder when 3 is divided by f.
1
Let q(a) = a**3 + 13*a**2 - 17*a - 15. Calculate the remainder when 44 is divided by q(-14).
17
Suppose 298 = 7*n - 24. What is the remainder when 137 is divided by n?
45
Suppose -2*j = 4*n + 3 - 45, j - 18 = -3*n. Let g = 31 - 18. Suppose i - g = 1. What is the remainder when j is divided by i?
13
Suppose -4*s + 4 + 120 = 0. Let n = -4 - -6. Suppose 2*i - 21 = -u, 0*i - 5*i = n*u - 50. What is the rem