.
1
Suppose -11*x + 10*x = -152. Calculate the remainder when x is divided by 31.
28
Suppose 3*k + 2*v = 3*v + 32, -k - v + 16 = 0. What is the remainder when 31 is divided by k?
7
Suppose j = f - 107, -4*j + 92 = 4*f - 3*f. Let a = 192 - f. Suppose -a = -5*b + 7. Calculate the remainder when b is divided by 7.
5
Suppose -5*b + 13 = -4*y, 4*y + 4 + 2 = -2*b. Let r(k) = -1 - 1 + 3 + 14*k. What is the remainder when 29 is divided by r(b)?
14
What is the remainder when 2/4 + (-745)/(-10) is divided by 26?
23
Calculate the remainder when (-325)/(-10) + (-1)/2 is divided by 11.
10
Let i(p) = p**3 + p**2 - 5*p + 2. Suppose 66*o - 63*o = 36. Calculate the remainder when i(3) is divided by o.
11
Let z(p) = -p**2 - 7*p + 3. Let k be z(-10). Let x = k + 56. Let i = 51 - x. What is the remainder when i is divided by 8?
6
Suppose -2*t + 3*o + 64 = 0, 0*t - 3*o = t - 32. Suppose 3*i - t = 7. Suppose -4*w + 77 = -23. Calculate the remainder when w is divided by i.
12
Let q(z) = 3*z**2 - z. Let t = 18 - 20. Calculate the remainder when 39 is divided by q(t).
11
Let q be ((-1)/(-2))/(2/20). Let i = q + -2. What is the remainder when 7 is divided by i?
1
Let g be ((-8)/6)/((-6)/324). What is the remainder when 5240/g + (-4)/(-18) is divided by 19?
16
Let k = 36 + -16. Let i = k + -28. Let s = i + 16. What is the remainder when 29 is divided by s?
5
Suppose -2*h + 6 = -2. Let i be ((-1)/2)/((-1)/6). Suppose -5*k = -b + 22, 2*b - 2 - 3 = -i*k. Calculate the remainder when b is divided by h.
3
Let n be ((-6)/15)/((-5)/(-25)). Let v be (3 - 3)*1/1. Let c = v - n. Calculate the remainder when c is divided by 2.
0
Let j(f) = -5*f + 1. Calculate the remainder when j(-5) is divided by (30/(-4))/(9/(-12)).
6
Let k(f) = f**3 + 4*f**2 - f - 4. Let b be k(-4). Suppose b = 3*y - 2*y - 8. Calculate the remainder when y is divided by 5.
3
Let d = -4 + 8. Let w(m) = m + 5. Let y be w(0). Suppose 14 = -y*h + 49. Calculate the remainder when h is divided by d.
3
Suppose 7*v = 2*v + 165. What is the remainder when v is divided by 7?
5
Suppose 7*c - 11*c + 52 = 2*n, 3*c = -2*n + 37. What is the remainder when 70 is divided by c?
10
Let n(j) = 33 + 7*j - 6*j + 2*j. Suppose -5*r + 2*r = -54. What is the remainder when n(0) is divided by r?
15
Let f = 10 - -9. Let c(l) = l**2 - 2*l + 2. Let u be c(3). Suppose 4*x + x = -2*b + 37, 5*b - u = 0. Calculate the remainder when f is divided by x.
5
Suppose 4*c - 1 = 11. Suppose 0 - 24 = c*t. Let z = 27 + t. What is the remainder when z is divided by 10?
9
Suppose t = -2 - 2, -8 = -3*s + 2*t. Let a = 2 + s. Calculate the remainder when 6/(1 - 1/(-2)) is divided by a.
0
Let v(i) = i**2 + 7*i + 7. Let h be v(-6). What is the remainder when 1 + h - (-10 + 4) is divided by 3?
2
Suppose -15 = -3*w + 27. Suppose 3*c - 2*r = 22, 0 = -c - 3*r - 0*r - 11. What is the remainder when w is divided by c?
2
Suppose -3*c = 2*c. Let f = 5 + c. What is the remainder when 18 is divided by f?
3
Suppose t - 4 + 2 = 0, 5*t = 3*i + 16. What is the remainder when 2/(-3)*75/i is divided by 9?
7
Let g be 2/(-5) + 84/35. Suppose 0 = 5*i + 10, 3*d + g*i - 3*i = 176. What is the remainder when d is divided by 20?
18
Let i be (-114)/10 + 4/10. Let k(u) = 2*u**2 + 14*u + 9. Calculate the remainder when k(i) is divided by 25.
22
Suppose 0 = y - 4*y + 45. Suppose 5*m = 0, -g + 8 = g - m. Calculate the remainder when y is divided by g.
3
Let b(r) be the third derivative of -r**5/60 + 5*r**4/24 - 4*r**2. Let z be b(5). Suppose 0 = -z*k + k - 28. What is the remainder when k is divided by 15?
13
Suppose -3*n - 25 + 103 = 3*p, 4*n - p = 109. Suppose 30 = 5*o + 5*y, 5*o + y - n - 23 = 0. What is the remainder when 31 is divided by o?
9
Let h(i) = i**2 - 2*i - 5. Let o(z) = 9*z**2 + 1. Let d be o(1). Let r = -6 + d. Calculate the remainder when 6 is divided by h(r).
0
Suppose z - 3 - 5 = 0. Suppose f + 15 = 79. What is the remainder when f is divided by 178/z + 3/(-12)?
20
Let u = 4 + 2. Suppose u = -q + 21. What is the remainder when 43 is divided by q?
13
Let a(v) = 5*v**2 - 6*v + 7. Let b(l) = 11*l**2 - 12*l + 15. Let t(x) = 9*a(x) - 4*b(x). Calculate the remainder when 9 is divided by t(6).
0
Suppose 3*q - 5*a = 0, 3*q - 2 = 2*q + a. Suppose 77 - 12 = q*z. Calculate the remainder when 24 is divided by z.
11
Suppose 0*h - h + 49 = 0. Calculate the remainder when h is divided by 14.
7
Let i(x) = 4*x + 6. Suppose -r = -0*r + 5. Calculate the remainder when i(-1) is divided by ((-4)/10)/(1/r).
0
Suppose 248 = -5*k + 13*k. Suppose 0 = -3*f - 4*r + 33, -f + r - 1 + 12 = 0. Calculate the remainder when k is divided by f.
9
Let b(x) = -5*x - 1. What is the remainder when 35 is divided by b(-4)?
16
Let g(l) = l**2 - 9*l - 1. Let m be g(4). Suppose -c + 21 + 12 = 0. Let r = m + c. Calculate the remainder when 23 is divided by r.
11
What is the remainder when 3/12 + 302/8 is divided by 13?
12
Let n be 1313/(-91) + 4/(-7). Suppose 9 + 27 = -4*o. Let v = o - n. What is the remainder when v is divided by 3?
0
Suppose 3*a - 3 = 0, -a + 0*a = -i - 113. Suppose -4*x = -2*v - 37 + 9, -4*x + 30 = -v. What is the remainder when 6/(-2)*i/24 is divided by x?
6
Let b(n) = -53*n + 1. Let h be b(-5). Suppose 0 = -3*j - 59 + h. Calculate the remainder when j is divided by 18.
15
Suppose 2*d + 2*d - 36 = 0. Suppose 0 = -3*r + 2*m + 14 - 0, -r + 3*m = 0. Calculate the remainder when d is divided by r.
3
Let m = 1 + -1. Let d = 37 + -25. What is the remainder when d is divided by (1 + m)*10/2?
2
Let m be 1 - 164*(-1 + -1). Suppose 0*i + i = -4*j + m, 0 = -j + 4*i + 95. Let a = j - 42. What is the remainder when a is divided by 14?
13
Let t(a) = -12*a + 27. What is the remainder when t(-9) is divided by 35?
30
Let u(i) = -3*i**3 + i**2 - 3*i - 4. Let q(j) = 16*j**3 - 6*j**2 + 16*j + 20. Let f(h) = -2*q(h) - 11*u(h). Calculate the remainder when 7 is divided by f(0).
3
Let n = -3 + 35. What is the remainder when n is divided by 19?
13
Let h = 57 - 27. Let t = -35 + 43. Calculate the remainder when h is divided by t.
6
Suppose 1 + 9 = 5*h. Let n(s) = 4*s**2 + 3*s**2 + s - 2*s + 0*s. Calculate the remainder when n(h) is divided by 9.
8
Suppose -8 = 2*n - 46. What is the remainder when 52 is divided by n?
14
Let v = 29 + -2. Calculate the remainder when v is divided by 10.
7
Suppose -5*h + d = -129, -3*h + 107 = h + 3*d. What is the remainder when h is divided by 1 - -8*(-1 + 2)?
8
What is the remainder when 0 + (-6)/(4/(-8) + -1) is divided by 3?
1
Suppose 6*j - 5*u - 475 = j, 0 = j + u - 101. What is the remainder when j is divided by 25?
23
Let v be (-6)/4*(1 - 3). Let a(p) = -p - 1. Let h be a(-1). Suppose -y - 19 = -x, h = 3*x + 2*y + v*y - 57. Calculate the remainder when 56 is divided by x.
18
Suppose 4*k - 47 = 93. Suppose -5*v = -0*v - 4*w - 1, 0 = 3*v - 2*w + 1. Let n(c) = -6*c. What is the remainder when k is divided by n(v)?
17
What is the remainder when 28 is divided by 8 + 3 + 5*1?
12
Suppose 3*o - 11 = 1. Suppose -d - o*b + 12 = 0, -4*d = -3*b + b + 6. Let p = 2 - d. What is the remainder when 4 is divided by p?
0
Suppose x - 5*x + 52 = -g, -3*x = 3*g - 39. Calculate the remainder when 49 is divided by x.
10
Let y be -10*19/6*3. Let w = -43 - y. What is the remainder when w is divided by 18?
16
Suppose -303 = -5*k - 4*s, 2*s = k - 42 - 27. Calculate the remainder when ((-48)/(-28))/(6/k) is divided by 5.
3
Suppose -3*i + 4*u = -62 - 57, 3*u - 57 = -i. Calculate the remainder when i is divided by 12.
9
What is the remainder when (36/15)/(3/75) is divided by 16?
12
Suppose 5 = 6*q - 5*q. Suppose -l + 3*z = l - 9, -3*z = l. What is the remainder when q is divided by l?
2
Suppose 7 = 4*y - 2*o + 3*o, 0 = -5*y - 5*o - 10. Let b(d) = d**3 - 4*d**2 - 4*d + 3. Let h = 10 + -5. Calculate the remainder when b(h) is divided by y.
2
Let y = 42 + 8. Suppose 3*j + 2*j = y. What is the remainder when j is divided by 4?
2
Let n(u) = -u**3 + 6*u**2 - u + 5. Let g be n(5). Suppose d = -5 + 22. Let k = g - d. Calculate the remainder when 23 is divided by k.
7
Suppose -v + 3*v = 48. Suppose 2*g - 5*g = -39. What is the remainder when v is divided by g?
11
Let r(h) = 61*h**2 - h + 6. Let q(g) = 12*g**2 + 1. Let a(k) = 11*q(k) - 2*r(k). What is the remainder when a(1) is divided by 3?
2
Suppose 0 = -l - 3*f +