-4*t - 14 + 66. What is the remainder when t is divided by 7?
6
Let s be (20/15)/(2/3). Suppose 0 = s*k - 24. Calculate the remainder when 33 is divided by k.
9
Let c be 2 + (-2)/(2/(-1)). Suppose c*q + 16 - 52 = 0. What is the remainder when 23 is divided by q?
11
Let d(j) = j**3 - 7*j**2 + 3*j - 7. Let c(w) = 2*w**2 - 5*w - 8. What is the remainder when c(7) is divided by d(7)?
13
Let z = 10 - -1. What is the remainder when 31 is divided by z?
9
Suppose 0 = -4*z + 55 + 1. What is the remainder when z is divided by 8?
6
Let i = -17 + 24. Calculate the remainder when i is divided by 5.
2
Suppose 5*b = 3*g - 37, -2*g + g + 5 = 2*b. What is the remainder when g is divided by 5?
4
Let s = -1 + 6. What is the remainder when 13 is divided by s?
3
Let l = 0 + 3. Suppose -l*a - 24 = -2*q, -4*a = -0*a - 8. Let y = q - 11. What is the remainder when 6 is divided by y?
2
Let i(b) = -b**2 + b + 2. Let v be i(3). Calculate the remainder when 5 is divided by (-1)/(-4) + (-15)/v.
1
Suppose 26*t - 36 = 22*t. Suppose -s = -0*s - 7. Suppose -y + s = -26. Calculate the remainder when y is divided by t.
6
Let p(f) = 9*f**2 + 23*f + 15. Let k(z) = 5*z**2 + 12*z + 8. Let s(m) = 7*k(m) - 4*p(m). Let u = 14 - 10. Calculate the remainder when s(-5) is divided by u.
3
Suppose 0 = 120*m - 113*m - 105. Calculate the remainder when 119 is divided by m.
14
Suppose 2*o - l - 120 = 0, 2*l - 7*l + 49 = o. Calculate the remainder when o is divided by 26.
7
Suppose -5*z = -2*v + 4*v - 1, -9 = -3*v - 5*z. Suppose -3 = o + 4*q + v, -17 = -5*o - 2*q. Suppose o*g + 10 = 50. What is the remainder when g is divided by 3?
2
Let b(x) = -3*x**3 + 2*x**2 - 1. Let r(v) = -7*v**3 + 3*v**2 - v - 3. Let y(p) = -9*b(p) + 4*r(p). Calculate the remainder when 41 is divided by y(-6).
20
Let y = -25 - -38. What is the remainder when y is divided by 7?
6
Let z be (1 + 4)*5/5. Suppose 2*p - 43 = -z*u, 0 = 5*p - 3*u + 6 - 67. Calculate the remainder when 25 is divided by p.
11
Let x(s) = -s + 4. Let y be x(6). Let c be y/3 - 40/3. Calculate the remainder when 12 is divided by 94/14 - 4/c.
5
Let z(n) = n**3 - 7*n**2 + n + 7. Let d = -71 + 98. What is the remainder when d is divided by z(7)?
13
Let v(j) = j**2 + 2*j - 3. Let m = 78 + -43. What is the remainder when m is divided by v(3)?
11
Let t be ((-18)/4)/(3/(-4)). Let r = -12 + t. Let a(h) = -5*h - 1. Calculate the remainder when a(r) is divided by 10.
9
Let o = -16 - -30. Suppose 0 = 4*q - o - 26. Suppose p + p = q. Calculate the remainder when 14 is divided by p.
4
Suppose -4*t = 3 + 5, 0 = -w - t + 2. Suppose -2*p = -7*p - w*k + 62, 50 = 3*p - 4*k. What is the remainder when 26 is divided by p?
12
Let a = 98 - 46. Suppose 0*k = 4*k - a. Calculate the remainder when 24 is divided by k.
11
Let y be (75/12)/(2/(-8)). Calculate the remainder when 270/y*10/(-4) is divided by 15.
12
Suppose 2*a = 3*k - 76, 0 = -5*k - 4*a + a + 133. Let u(w) = w**2 - 3*w - 4. Calculate the remainder when k is divided by u(6).
12
Let s(q) = 8*q - 3. Let z be (-20)/(-6)*18/10. Suppose -5*c = -z*c + 13. What is the remainder when s(5) is divided by c?
11
Suppose 2*o = o + 28. Let d = o - 10. Calculate the remainder when d is divided by 7.
4
Let x = -15 + 58. Suppose 2*g + 5*u + 6 = 0, -3*g + u - 2 = 5*u. Suppose g*h - 14 = 16. Calculate the remainder when x is divided by h.
13
Let i(f) = f**3 + 5*f**2 - f - 12. Calculate the remainder when i(-3) is divided by 2.
1
Suppose 5*r - 125 = 185. What is the remainder when r is divided by 2*6/(-3) + 20?
14
Suppose -n - n = 0. Suppose -r = -3*a + a + 2, 2*r + 4*a + 20 = n. Let i(v) = v**2 + 5*v + 4. Calculate the remainder when i(r) is divided by 3.
1
Let t = 19 + -29. Let j = t - -52. Suppose 5*v = 51 + 4. What is the remainder when j is divided by v?
9
Let m = -5 + 13. Suppose 7*b - m = 5*b. Calculate the remainder when (9/(-12))/((-1)/20) is divided by b.
3
Let a be (-7554)/10 - (-10)/25. Let p be a/(-10) - 2/4. Suppose 0 = 3*f + 3*b - 99, -4*f + 3*b = -f - p. What is the remainder when f is divided by 15?
14
What is the remainder when (-4)/((-28)/(-21)) - (-53)/1 is divided by 26?
24
Suppose -3 - 5 = -u. Let k be 3/((6/69)/(-2)). Calculate the remainder when k/(-4) + (-2)/u is divided by 9.
8
Let s = -1 + 3. Let k(t) = -1 + 76*t**2 - 20*t**s + 0. What is the remainder when k(1) is divided by 19?
17
Let i(q) = q**3 - 9*q**2 + 13*q - 8. Let a be 1 + (-7 - -1) + -1. Let z = a - -14. What is the remainder when i(z) is divided by 11?
10
What is the remainder when 33 is divided by ((-18)/24)/((-1)/16)?
9
Let y be ((-3)/7)/((-1)/7). Suppose 0 = -2*k - y*c + 34, 4*k + 5 - 65 = -2*c. What is the remainder when k is divided by 8?
6
Let h = -6 - -6. Calculate the remainder when 66 is divided by 17/(h - (-3 + 2)).
15
Let z = 2 + 2. Let x be (-2 - 4)/((-9)/6). Let f(q) = q + 5. Calculate the remainder when f(x) is divided by z.
1
Let u = -93 + 176. Calculate the remainder when u is divided by 43.
40
Suppose 3*l = -5*p - 13, 4*l - p - 6 = -3*p. Calculate the remainder when l is divided by 2.
0
Let i = -23 + 43. Calculate the remainder when 5/i + 134/8 is divided by 6.
5
Suppose 5*a + 20 = 0, 5*p - 34 = -0*a + a. What is the remainder when (-3)/(-7) - (-232)/14 is divided by p?
5
Suppose 0 = -0*j + 3*j - 18. Calculate the remainder when (-3)/j*134*-1 is divided by 17.
16
Suppose -7*w = w - 48. What is the remainder when 6 is divided by w?
0
Let t(z) be the first derivative of 2*z**3/3 - 3*z**2/2 - 6*z - 1. Suppose -26 = -3*c + i, -5*c - i = 2*i - 62. What is the remainder when t(5) is divided by c?
9
Let p(i) = 3*i**2 - 4*i + 1. Let m be p(5). Suppose -3*n = 2*k - 11, 0*n + m = 5*k - 2*n. Let r = -47 - -66. What is the remainder when r is divided by k?
9
Let c be 58/(-1 + 2 + 1). Suppose -2*b + 4*b - c = 3*n, 17 = b - 2*n. Suppose -15 = -5*z, -5*z + 72 = 6*r - 3*r. Calculate the remainder when r is divided by b.
5
Let g(s) = 117*s - 9. Let a be g(-7). Let r(h) = 8*h + 1. Calculate the remainder when 2/(-8) - a/48 is divided by r(1).
8
Let i = -2 - -8. Suppose 3*h = -3*w, -2*h + 0*w + 5*w = -14. Calculate the remainder when i is divided by h.
0
Suppose -5*w = -n - 3*n - 115, 0 = -2*w - n + 59. What is the remainder when 104 is divided by w?
23
Let o = 11 - 5. Calculate the remainder when (51/(-6))/((-1)/2) is divided by o.
5
Suppose 4*s = 21 + 79. Calculate the remainder when 73 is divided by s.
23
Suppose 3*k + 4*r - 22 = k, 8 = k + r. Calculate the remainder when 7 is divided by k.
2
Suppose 4*o - 4 = 0, 2*d - d - 34 = -3*o. What is the remainder when d is divided by 22?
9
Let j(u) = u**3 - 2*u**2 + 2*u - 1. Let c be ((-8)/(-6))/((-6)/(-9)). Let b be j(c). Let i = b + -2. What is the remainder when i is divided by 1?
0
Let p = 36 - 22. Calculate the remainder when 55 is divided by p.
13
Let w = 7 - 8. Let z(n) = -3*n**3 + 1. Let s be z(w). Let g(i) = -i**2 + 7*i + 1. Calculate the remainder when 36 is divided by g(s).
10
Let o(b) = 2*b**2 - 6*b + 2. Calculate the remainder when o(5) is divided by (3/(-4))/((-2)/32).
10
What is the remainder when 32 is divided by (-30)/75 + (1 - 82/(-5))?
15
Let b = -148 - -217. Calculate the remainder when b is divided by 14.
13
Let s be (1 - (-2 + 2)) + 1. Suppose -2*p + 5*o + 21 = -0*p, -3*o - 31 = -s*p. What is the remainder when p is divided by 12?
11
Let p = 33 + -30. What is the remainder when 23 is divided by p?
2
Suppose 3*g - i - 8 = 0, 0*g - 2*i + 12 = g. Calculate the remainder when g is divided by 2.
0
Suppose 2*b + 0 = -2, 5*b - 31 = -3*t. What is the remainder when 58 is divided by t?
10
Suppose -24 = -4*h + 5*a, -5*a - 1 - 1 = -2*h. What is the remainder when 32 is divided by h?
10
Let c = -3 + 10. Let l = c + -4. Suppose 7*n + h - 39 = 2*n, 3*h = -3. What is the remainder when n is divided by l?
2
Let v(i) = 4*i**2 + 11*i - 3. What is the remainder when v(-5) is divided by 22?
20
Let k = -5 - -8. Suppose -4*z + 5*v = -k*z - 6, z - 18 = -v. Calculate the remainder when z is divided by 9.
7
Suppose 0 = -3*f - f + 108. Calculate the remainder when f is divided by 7.
6
Suppose -4*t - 3*l + 1 = 4, 3*l - 12 = t. Let z(a) = -2*a - 1. Let k be z(t). Let y = k + 0. Calculate the remainder when 8 is divided by y.
3
What is the remainder when (-552)/(-21) + (-8)/28 is divided by 15?
11
Let d = 1