t a = -30 - q. What is the remainder when 47 is divided by a?
15
Suppose 3*p - 2*p + 2*k + 8 = 0, -3*p + 11 = -k. Suppose -5*x + p*g + 94 = 0, -3 = g - 1. Calculate the remainder when 52 is divided by x.
16
Let k = -114 + 132. What is the remainder when (1 - -13)/((-4)/(-10)) is divided by k?
17
Let v(y) = y**3 - 4*y**2 + 4*y - 10. Let q be v(4). Suppose -w = -q*w + 55. What is the remainder when 53 is divided by w?
9
Calculate the remainder when -4 - (-1005)/12 - 3/4 is divided by 20.
19
Suppose -4*w = 5*c - 0*w - 96, c = w + 21. Suppose -10 = -3*a + c. Suppose -8*x - 5 = -37. What is the remainder when a is divided by x?
2
Suppose 5*o + 11 + 9 = 0, 4*o = -4*s + 32. Suppose 5*p - 4*r = -7*r + 119, 4*p - 91 = -r. Calculate the remainder when p is divided by s.
10
Let g be 3/(-4) - (-11)/4. Let q be (g/(-6))/(2/(-12)). Suppose 2*j + 16 = h + j, j = q*h - 35. What is the remainder when 55 is divided by h?
17
Suppose 3*v - 4 = 11. What is the remainder when 8 is divided by v?
3
Let u(c) = -c**2 - 11*c + 11. Let g be u(-8). Calculate the remainder when 39 is divided by (2/5)/(1/g).
11
Suppose -z + 10 = 5*g - 16, -10 = -2*z + 4*g. Calculate the remainder when 20 is divided by z.
9
Suppose 0 = 5*r + u - 2*u - 381, -2*r + 157 = -5*u. Suppose 20 + r = 4*c. Calculate the remainder when c is divided by 13.
11
Suppose 3*f - 37 = 5*x, f + 1 = -0*f - 5*x. Calculate the remainder when f is divided by 3/5*(-1 + 6).
0
Suppose 133 = 4*y + 713. Suppose -2*p = 4*h - 64, -3*p = -3*h + 43 - 4. What is the remainder when (1 - 0)/((-5)/y) is divided by h?
14
Let j(p) = 2*p**2 + 3*p + 1. Suppose -3*x = -x + 5*d + 3, -2*x + 5*d = -27. Calculate the remainder when x is divided by j(-2).
0
Let l = 1 - 1. Suppose 0*y + 3*y - 174 = l. Suppose 0 = b + 2, 3*d + 2*d - 4*b - y = 0. Calculate the remainder when 18 is divided by d.
8
Let d = 12 - 9. Suppose 2*i = d*n + 46, 69 = -0*i + 5*i + 4*n. What is the remainder when 33 is divided by i?
16
Suppose -20 = 2*n - 82. Let o be (-1)/2*(-6 + 2). Suppose -o*f + f = -11. What is the remainder when n is divided by f?
9
Let o = 14 + 1. Let z = -70 - -112. What is the remainder when z is divided by o?
12
Suppose -13 = b - 1. Let j = 23 + b. Calculate the remainder when 43 is divided by j.
10
Suppose -4 = -3*x + 5. Suppose 5*z = x + 17. What is the remainder when (22/4)/((-4)/(-8)) is divided by z?
3
Let d be (-3 + 2 - 0)*25. Let o be (-2 + 3 + d)*-1. Calculate the remainder when 1 + 2 + o + -2 is divided by 9.
7
Suppose -3*k - 4 = k. Let u be (-1 + k)/(-2) - 0. Let f(d) = 16*d + 1. Calculate the remainder when 32 is divided by f(u).
15
Suppose 2*b = 9 + 3. Let z = b - 2. Let r = -5 + 15. What is the remainder when r is divided by z?
2
Let v(z) = -10*z - 3. What is the remainder when v(-3) is divided by (-17)/(-1) + 8/(-4)?
12
Suppose -2*v = -1 - 3. Let o(n) = n + 2. Let h be o(-7). What is the remainder when (h/(-4))/(2/8) is divided by v?
1
Let c = 182 - 119. Calculate the remainder when c is divided by 22.
19
Let y = 54 - 50. What is the remainder when 11 is divided by y?
3
Let a(w) = 6*w**2 + 2*w - 2. Suppose -i + 3*j = -10 + 4, -4*i = 4*j + 24. What is the remainder when a(i) is divided by 16?
14
Suppose m = 4*m, -m = -5*p + 5. Let v = p - -41. What is the remainder when v is divided by 22?
20
Suppose 2*r + 2*r - 4*q = 0, 5*q - 21 = -2*r. Suppose 8 = -m + 4*a, 2*m + a = -r*m + 65. Calculate the remainder when m is divided by 16/3 - 5/15.
2
Suppose 2*s - 2*w = -0*s, 5*s - 3*w = 4. Suppose -64 + 204 = s*m. What is the remainder when m is divided by 24?
22
Suppose n - 2*i - 15 = -0*n, 2*n - 23 = -3*i. Let d = 27 - n. Suppose 0*z - 4*z + 20 = 0. Calculate the remainder when d is divided by z.
4
Let f = -4 + 6. Suppose 5*j - 46 = -s - 3*s, -2*s = -f*j - 14. Calculate the remainder when 15 is divided by s.
6
Suppose -h = -7*h + 36. Suppose -f = -0*w + 4*w - 23, 0 = 2*f + 2*w - 34. What is the remainder when f is divided by h?
3
Let k = 53 + -38. Calculate the remainder when 29 is divided by k.
14
Let f = 79 + -14. Calculate the remainder when f is divided by 17.
14
Let s(t) = t**2 + 3*t + 7. Calculate the remainder when s(-5) is divided by ((-15)/20)/(2/(-24)).
8
Suppose 1533 = 9*l + 390. What is the remainder when l is divided by 26?
23
Let s = -68 - -101. What is the remainder when s is divided by 12?
9
Let c = -5 + 9. Suppose -k = -c*k - 3. Let v = k - -4. Calculate the remainder when 4 is divided by v.
1
Suppose 4*x + x - 55 = 0. Suppose -5*z - 5 = -5*v, 4*z + 3*v - 35 = -x. What is the remainder when 7 is divided by z?
1
Let m(h) = 2*h + 16. Let b = 24 - -23. What is the remainder when b is divided by m(-2)?
11
Let c(o) = 2*o**3 + 5*o**2 + 4*o - 5. Let r be c(4). Suppose 5*i - r = -4*u, -4*i + u = -3*u - 168. Calculate the remainder when i is divided by 15.
13
Suppose 0 = -5*r - 5 - 5. Calculate the remainder when r - ((-6)/3 + -14) is divided by 8.
6
Let b be 0*(0 + (-2)/(-4)). Suppose m = -b*m + 17. What is the remainder when 50 is divided by m?
16
Let g be (-1 - 1 - -1) + 2. Let u = g + 14. Let m = -158 + 200. What is the remainder when m is divided by u?
12
Let a be (-22)/(-8) - (-2)/8. Let c(x) = x**3 - 2*x**2 + 3*x - 4. Suppose 40*m - 43*m + 12 = 0. What is the remainder when c(a) is divided by m?
2
Suppose 12*y = 11*y. Let m(u) = -u**2 - u + 50. What is the remainder when m(y) is divided by 13?
11
Let q be ((-8)/2)/(6/9). Suppose 0 = -3*m - 3*m + 282. What is the remainder when m is divided by (-2)/q - 94/(-6)?
15
Let i be ((-6)/(-8))/(5/60). Suppose 4*x + 45 = i*x. Calculate the remainder when 26 is divided by x.
8
What is the remainder when (-1 - 2)*(-33)/9 is divided by 9?
2
Suppose 4*q - 200 = -4*u, -2*u = -7*u - 4*q + 250. Suppose -s - 4*s = -u. Calculate the remainder when 2/(-5) - (-994)/35 is divided by s.
8
Suppose 5*t + 5*k = 0, 4 = 3*t - 2*k - 16. Suppose 2*w - 4 = -0*w. Suppose t*s - 35 = 5*o, 3*o - 4 = -w*s - 3. What is the remainder when 13 is divided by s?
3
Let o be (-6)/3 + 6/3. Suppose -5*x - 62 = -o*v - 4*v, 9 = v + 2*x. What is the remainder when v is divided by 5?
3
Suppose 0 = 4*v - 2*s - 18, s - 5 = 0. What is the remainder when 10 is divided by v?
3
Suppose -i + 57 = 2*i - r, -112 = -5*i - 4*r. What is the remainder when 59 is divided by i?
19
Let u be (3 - 30/9)*0. Let i be u - 8 - (5 + -6). Calculate the remainder when 10 is divided by 1/(i/(-6) - 1).
4
Let b be (15/6)/(3/84). Suppose -b = -4*c - c. Calculate the remainder when c is divided by (-74)/(-14) - 4/14.
4
Let t be 1/((-7)/(-6))*14. Calculate the remainder when t/14*(2 + 75) is divided by 17.
15
Let k(s) = s**2 - s - 6. Let t be k(0). Calculate the remainder when 20 is divided by 99/15 - t/15.
6
Let t be (-6)/(-9)*657/6. Suppose 5*y + 3*k + 18 = t, -3*k = -y + 29. Calculate the remainder when 54 is divided by y.
12
Let w(b) = -36*b - 25. What is the remainder when w(-5) is divided by 39?
38
Suppose 0 = -5*y + 4*f - 8, 5 = -5*f + 15. Suppose -3*z + 4*z - 50 = y. What is the remainder when z is divided by 13?
11
Suppose 0 = -0*b + 4*b. Suppose -4*f + u + 7 = 0, b*f = -f + 2*u. Suppose 74 = f*p - 0*p. Calculate the remainder when p is divided by 13.
11
Suppose -p - 1 = 7. Let n = -4 - p. What is the remainder when 46 is divided by (-20)/1*n/(-5)?
14
Suppose -4*c + 47 = -9. What is the remainder when c is divided by (-1 - -4)/(3/8)?
6
Let t(m) = m**3 + 8*m**2 + 6*m - 8. Suppose 5*y = 3*c + 31, 0 + 3 = -c - 2*y. Let w be t(c). What is the remainder when -2 - (w - (34 + 1)) is divided by 12?
10
Suppose 5*i - 35 = -0*i - 5*x, -10 = -i + 2*x. Calculate the remainder when i is divided by 8.
0
Let o = 100 + -66. Suppose 2*g - 6*t + 2*t - 38 = 0, -2*t + 35 = 5*g. What is the remainder when o is divided by g?
7
Let c be 6/(-10) + (-76)/(-10). Suppose c = i + 10. What is the remainder when 23 is divided by ((-26)/i)/(10/15)?
10
Let g(v) = -v**2 + 6*v. Let n be g(6). Suppose n = -x - 0 + 2. What is the remainder when ((-24)/(-2))/(x + 0) is divided by 3?
0
Let y(f) = -f + 9. Let w be y(7). Suppose -2*u + 5*a + 54 = 0, 3*u + 43 = 6*u + w*a. Calculate the remainder when 33 is divided by u.
16
Suppose -4*n + 10 = -114. What is the remainder when 184 is divided by n?
29
Suppose 4*p = 2*p + 126. Let t(c) = -2*c**2 + c. Let x be t(2). What is the remainde