5*z - 44 = 3*g + 70, -z + 18 = g. Calculate the remainder when z is divided by x.
10
Suppose 20 = 8*v - 52. Calculate the remainder when 71 is divided by v.
8
Let b(f) = -f - 4. Let j be b(-6). Suppose -j*q + 28 = 2*q. Suppose 4*x = -x, -2*x = n - q. Calculate the remainder when 13 is divided by n.
6
Calculate the remainder when 65 + 1 + 4 + 2 is divided by 15.
12
Suppose 5*v - 45 = -5*i, i - 7 = -0*v + v. Calculate the remainder when 54 is divided by i.
6
Let r(p) = p**3 - 3*p**2 - 5*p + 6. Let s be r(4). Suppose -3*g = 5*k - 35, -4*g + 0*g = 4*k - 36. What is the remainder when g is divided by ((-3)/3)/(s/(-6))?
2
Suppose -18 = -5*y + 2*y. Suppose 10 = q + 2*q - o, 5*q + 4*o = 11. Calculate the remainder when y is divided by q.
0
Suppose -3*i + 260 = 10*i. What is the remainder when 78 is divided by i?
18
What is the remainder when 37 is divided by (-75)/(-3)*(-2 - (-13)/5)?
7
Let d(s) = s**2 + 5*s - 16. Let w = -5 + 10. Calculate the remainder when d(-8) is divided by w.
3
Let j(y) = y**3 + 8*y**2 + 2*y + 3. What is the remainder when 188 is divided by j(-7)?
36
Suppose -4*o + 0*o = 0. Suppose -5*a + 5*b = -60, 5*a + 4*b + 0 - 15 = o. What is the remainder when (-3)/((-6)/4) - -18 is divided by a?
6
Suppose 5*v - 230 = 435. Calculate the remainder when v is divided by 23.
18
Suppose 2*q - 39 = 3*q. Let w = q - -74. Let u = 27 + -15. Calculate the remainder when w is divided by u.
11
Suppose -6 = 3*s - 15. Suppose 4 = -c - s*x, -28 = -c + 5*x - 0*x. Calculate the remainder when 13 is divided by c.
5
Suppose 26*v - 32*v + 6 = 0. Let i(m) = m**3 + 4*m**2 - m - 5. Let r be i(-4). What is the remainder when 0 - (1 + 2/r) is divided by v?
0
Let x = -1 + 9. What is the remainder when 31 is divided by x?
7
Suppose 4*k - 24 = -3*o, 3*k + 2*k + 5 = 5*o. Suppose k*j + z = 136 + 37, z = -1. What is the remainder when j is divided by 15?
13
Let z = 20 - 15. Calculate the remainder when z is divided by 3.
2
Let t = 69 - 42. What is the remainder when t is divided by 6?
3
Suppose 0 = 3*b - 121 - 35. Suppose r + 2*v - 20 = 5*v, -3*r = -5*v - b. What is the remainder when 39 is divided by r?
11
Suppose -76 = -3*a + 4*q, q = 4*a + 6*q - 153. What is the remainder when a is divided by 11?
10
Suppose 0 = 9*p - 2*p - 189. Calculate the remainder when p is divided by 15.
12
Let b = -2 + 12. Suppose -5*m - b = -105. What is the remainder when 35 is divided by m?
16
Let i = -15 + 29. Let f(w) = -w**2 + 13*w + 28. What is the remainder when f(12) is divided by i?
12
Suppose 4 = 3*k + 4*g + 20, -4 = 2*k + g. Suppose k = 7*j - 4*j - 2*z - 38, 2*j - 40 = 5*z. What is the remainder when 17 is divided by j?
7
Let x be ((-6)/7)/((-8)/(-56)). Calculate the remainder when 24 is divided by 4/6 + (-74)/x.
11
Let z be (42/(-8))/((-9)/24). Suppose 3*j = q - z, -6*j - 29 = -4*q - 3*j. Let r = q + -3. What is the remainder when r is divided by 1?
0
Let r = -60 - -128. Calculate the remainder when r is divided by 18.
14
Let g(t) = 6*t**2 + t - 3. What is the remainder when 37 is divided by g(-2)?
18
Let d = -33 - -58. Calculate the remainder when 97 is divided by d.
22
Let c(l) = -l**3 - 4*l**2 + 13*l + 6. What is the remainder when c(-7) is divided by 13?
10
Let s(g) = g - 1. Let p be 0/(-3)*(-4)/8. Suppose p*t + 2*t - 58 = -3*b, 0 = 5*b. What is the remainder when t is divided by s(9)?
5
Suppose -143 = -3*c + v, 3*c - 2*v - 151 = 3*v. What is the remainder when c is divided by 5?
2
Suppose 2*k - 15 = -k. Suppose 0 = 6*v - k*v + 3. What is the remainder when 28 is divided by 2/v - 94/(-6)?
13
Let i = 11 - 3. Calculate the remainder when 21 is divided by i.
5
Suppose -2*n - 1 = -5. Suppose -n*p + 32 = 2*p. Calculate the remainder when p is divided by 22/6 - 2/3.
2
Let l = 39 + -28. Calculate the remainder when l is divided by 3.
2
Let j = 242 + -132. Calculate the remainder when j is divided by 16.
14
Let m(f) = -f**3 - 5*f**2 - 2*f - 7. Let r be m(-5). Let d = r - -1. Suppose -5*q + 10 = d*v - 15, -5 = v. What is the remainder when 16 is divided by q?
7
Suppose 4*f - 23 = -x, -5*x - 5 = -6*x + 2*f. Suppose 2*c - 4 = c. Let m = x - c. What is the remainder when m is divided by 3?
1
Suppose -2*l - 3*l + 15 = -5*g, 4*l = -3*g + 26. Suppose -7*b = -3*b + 5*z - 169, -l*b = 3*z - 195. What is the remainder when b is divided by 13?
10
Let c = 184 - 124. What is the remainder when c is divided by 32?
28
Suppose 0 = 3*o - 36 - 9. Let n = o + -7. What is the remainder when 14 is divided by n?
6
Let r(g) = -g**2 + 12. Calculate the remainder when 47 is divided by r(0).
11
Suppose 74 = -v + 3*v + 4*n, -2*v - 5*n + 70 = 0. Suppose -4*u + 11 = -v. Calculate the remainder when 184/7 - (1 + (-20)/28) is divided by u.
12
Suppose w = 2*w + 6. Let j(x) = x + 13. What is the remainder when 25 is divided by j(w)?
4
Let p(s) = -s**3 + 5*s**2 - 2*s + 1. Calculate the remainder when (-8008)/(-484) + (-12)/22 is divided by p(2).
7
Let r = 27 + -12. What is the remainder when 88 is divided by r?
13
Suppose 46 = 5*z + 2*s, -58 = -5*z - s + 5*s. What is the remainder when 3 + 27 - (-2 - -3) is divided by z?
9
Suppose -5*k = -19 - 21. Let i(g) = 4*g**2 - 3*g + 4. Calculate the remainder when i(3) is divided by k.
7
Let k = -116 - -126. Calculate the remainder when 26 is divided by k.
6
Let f(y) = -y**2 - 6*y + 6. Suppose 0*q - q + 24 = -5*m, -5*m + 3*q - 22 = 0. Calculate the remainder when f(m) is divided by 7.
4
Let h(i) = -i**2 - 4*i + 1. Let p be h(-3). Suppose -p*o + t + 18 = 0, -5*o = -0*t - 5*t - 15. What is the remainder when 9 is divided by o?
4
Suppose 50 = 2*m - 0*m + 3*f, -4*f - 120 = -4*m. Suppose 0 = -2*n - 0*n + 164. What is the remainder when n is divided by m?
26
Let l(j) = 4*j**2 - 5*j + 5. What is the remainder when l(3) is divided by 15?
11
Let d be (-10)/14 - 12/42. What is the remainder when 21 is divided by 1 + d + 2 + 4?
3
Let b = -11 + 14. Calculate the remainder when 12 is divided by b.
0
Let l(v) = -52*v**3 - 2*v - 1. Suppose -5*i + 2*i + 48 = 0. Calculate the remainder when l(-1) is divided by (-84)/(-16)*i/6.
11
Suppose -t = -2*s + 9, 8 = 5*s + 5*t - 22. Calculate the remainder when s is divided by 3.
2
Let j(z) = 2*z + 1. Let q be j(4). Suppose -4*d + q*d = 0. Suppose d = s + s - 22. Calculate the remainder when 20 is divided by s.
9
Suppose -2*r = -10*r + 56. What is the remainder when 37 is divided by r?
2
Suppose 9 + 10 = w. Suppose 0 = -5*i + 23 + 7. Let v = 16 - i. What is the remainder when w is divided by v?
9
Suppose 5*x - 3*x + 18 = 4*z, 0 = -2*z + 2. Let u(g) be the first derivative of g**4/4 + 7*g**3/3 + 4*g + 2. Calculate the remainder when 6 is divided by u(x).
2
Suppose -4*p = c - 297, -2*c - 378 = -5*p - c. Calculate the remainder when p is divided by 26.
23
Let v(w) = 59*w**2 + 3*w - 4. Calculate the remainder when v(-2) is divided by 38.
36
Let o = -20 - -14. What is the remainder when 254/6 - o/9 is divided by 15?
13
Let m(n) be the second derivative of n**3/6 - 5*n**2/2 + 2*n. Let c be m(-6). Let g = c + 55. What is the remainder when g is divided by 15?
14
Suppose 0 = -4*h + 4*l - 12, 29 = 2*h + 3*l + 2*l. Suppose t = 3*a + 2 + 16, -h*t - 3*a + 27 = 0. What is the remainder when t is divided by 9?
6
Let j(u) = -u**3 + 8*u**2 + 2*u - 2. Suppose 55 = -5*q - 5*r, -3*q + r + 39 = -8*q. Let p = 15 + q. What is the remainder when 40 is divided by j(p)?
12
Suppose 4*a - 4*g = -2*g + 242, -2*a = g - 111. Calculate the remainder when a is divided by 16.
10
Let q(m) = -34*m - 1. Let x(g) = -g**3 - 8*g**2 + 7*g - 1. What is the remainder when q(-1) is divided by x(-9)?
16
Let m = -27 + 29. What is the remainder when 13 is divided by m?
1
Suppose 0 = -y + 10 + 16. What is the remainder when y is divided by 9?
8
Calculate the remainder when 21/(-105) - 142/(-10) is divided by 8.
6
Let m = -20 + 49. Let h = 55 - m. What is the remainder when h is divided by 7?
5
Let r(b) = -b**3 + 5*b**2 + 5*b + 20. Calculate the remainder when 25 is divided by r(6).
11
Suppose -10*t + 5*t + 25 = 0. Calculate the remainder when 7 is divided by t.
2
Suppose o + 9 = -2*x + 3*x, -4*x = -3*o - 31. Calculate the remainder when 9 is divided by x.
1
Let d = 61 - 58. What is the remainder when d is divided by 1?
0
Let x(z) = -z**2 - 21*z - 44. Calculate the remainder when x(-18) is divided b