when x is divided by 20?
19
Suppose 2*c - 11 = -1. Let x(s) = s - 2. Let u be x(c). Let z = 15 - u. Calculate the remainder when z is divided by 7.
5
Suppose -16 = -4*x, r + 4*x = -2*r + 43. Suppose 7*w = 2*w + 4*z - 11, -w - 2*z + r = 0. What is the remainder when 1 is divided by w?
0
Let r = 75 + -62. Calculate the remainder when 76 is divided by r.
11
Let b(a) = 2*a**2 - 3*a - 5. Let x(w) = -w**3 - 5*w**2 - w + 6. Let z be x(-5). Let d = 27 - z. Calculate the remainder when b(5) is divided by d.
14
Suppose -9*m = -485 - 136. What is the remainder when m is divided by 9?
6
Let u = 46 - 95. What is the remainder when 3 + ((-4)/4 - u) is divided by 13?
12
Let n = 345 + -221. What is the remainder when n is divided by 14?
12
Let s(z) = 6*z**3 - 4*z**2 + 2*z + 1. Let o(v) = -v**3 + 7*v**2 + v - 1. Let q be o(7). Suppose -7 - q = -p. What is the remainder when s(2) is divided by p?
11
Suppose 0 = -5*f + 36 + 39. Let d = -9 + f. What is the remainder when 17 is divided by d?
5
Let m(b) be the third derivative of -b**5/60 + b**4/8 + 2*b**3/3 - b**2. Let c be m(-3). Let f = -8 - c. What is the remainder when f is divided by 4?
2
What is the remainder when 4/((28/6)/7) is divided by 3?
0
Let s(j) = j**3 + 8*j**2 + 4*j - 2. What is the remainder when 36 is divided by s(-7)?
17
Let u(m) = -31*m**3 + 2*m + 1. Let n be u(-1). Suppose n - 2 = 4*b. What is the remainder when 13 is divided by b?
6
Suppose -3*j = -2*l - 13, -4*l + 4 - 24 = 0. Calculate the remainder when j/(2/60) + 1 is divided by 11.
9
Suppose 3*w = -3 - 3. Calculate the remainder when 3/3*(w - -69) is divided by 23.
21
Suppose -231 = -3*l - 5*r, 8*l - 404 = 3*l - 2*r. Calculate the remainder when l is divided by 42.
40
Let l be (-3 - 24/(-10))*-10. What is the remainder when 12 is divided by 1/(-1)*-1 + l?
5
Let v = 5 - -4. What is the remainder when v is divided by 2?
1
Suppose 4*u = 2*q + 20, 2*u + u + 5*q = -11. What is the remainder when 3 is divided by u?
0
Let m(w) = -w**3 - 4*w**2 - w + 5. Let x be m(-4). Suppose 0*z = -3*z - x. Let g = 5 + z. What is the remainder when 5 is divided by g?
1
Let g = -8 - -12. Suppose 2*z - 7*z - 2*j = -35, 3*j = -g*z + 21. Calculate the remainder when z is divided by 3.
0
Suppose -2*k + 4*a = -3 + 23, 3*a = 5*k + 64. Let c = -9 - k. What is the remainder when (-93)/(-5) + (-4)/(-10) is divided by c?
4
Let v = -20 + 16. Calculate the remainder when (-37)/(-1 + (v - -4)) is divided by 10.
7
Let q = 103 + -27. Calculate the remainder when q is divided by 22.
10
Let r = 330 - 209. Calculate the remainder when r is divided by 41.
39
Suppose -141 = -15*q + 789. Calculate the remainder when q is divided by 7.
6
Let h = 29 + -50. Let p = 38 + h. Calculate the remainder when p is divided by 10.
7
Suppose -x = -5*m + 10, 3*m - 6 = -5*x + x. Suppose -4*v + 20 = -0. Calculate the remainder when v is divided by m.
1
Suppose 3*r + 0*i - 2*i = 40, -5*i = -5*r + 70. Suppose n + 2*n + 3 = 0. Calculate the remainder when 17*((-5)/n + -3) is divided by r.
10
Suppose -q + 2*u = -21, 4*q + 6*u = 2*u + 72. Calculate the remainder when 56 is divided by q.
18
Suppose -6*q + 61 + 29 = 0. What is the remainder when 27 is divided by q?
12
Let q = 21 + -15. What is the remainder when q is divided by 3?
0
Let r be 80/(-4)*1/(-1). Suppose -1 = -m + r. Calculate the remainder when m is divided by 11.
10
Suppose 2*l = -l + 39. Let m(q) = q**2 + 2*q - 1. Let o = 10 - 14. What is the remainder when l is divided by m(o)?
6
Suppose -2*d - 5 = 3*d. Let o = 5 - d. Calculate the remainder when 19 is divided by (o - 0) + 3 + -2.
5
Let c = 37 - 19. Suppose 0 = 4*o - 0*o - 40. Calculate the remainder when c is divided by o.
8
Suppose -p = -12 - 21. What is the remainder when p is divided by 9?
6
Suppose -4*d = 3*m - 15, 5*m - 15 = -d + 10. Suppose -4*s - 5*y + 3*y + 82 = d, -2*y - 107 = -5*s. What is the remainder when s is divided by 12?
9
Calculate the remainder when 182/(-13)*24/(-14) + 1 is divided by 9.
7
Suppose 0*t = t. Let v(w) = -w + 13. What is the remainder when v(t) is divided by 7?
6
Suppose 0 = -5*h - 4 + 29. Calculate the remainder when 9 is divided by h.
4
Suppose -3*x - 2*n = 22, 4*n - 22 = 2*x - 2. What is the remainder when x/(2*(-3)/30) is divided by 14?
12
Suppose 2*h - 106 = -2*f, -4*f + 58 = h - 2*f. What is the remainder when h is divided by 13?
9
Let c(x) = 15*x**3 - x**2. Let r(d) = 11*d + 4. Calculate the remainder when r(2) is divided by c(1).
12
Let t = -4 + 7. Let z(u) = -u**3 + 6*u**2 - 3*u - 4. Let q be z(5). Suppose -3 - q = -3*h. What is the remainder when t is divided by h?
0
Let m = 104 - 59. Calculate the remainder when m is divided by 12.
9
Suppose 340 = 8*k - 4*k. Calculate the remainder when k is divided by 29.
27
Let d = -80 + 115. Suppose -d = -5*w + 5*b, -2*w - 3*b = 1 + 5. What is the remainder when 10 is divided by w?
1
Suppose i - 10 = -i. Suppose 3*t - 40 = 2*a, i*t + 4*a = 4*t + 18. Calculate the remainder when 160/14*(-21)/(-6) is divided by t.
12
Let b be -1 + 6 - (16 - 13). Suppose -b*v = -4, -2*l + 4*v = l - 28. Calculate the remainder when 46 is divided by l.
10
Let l(k) = k**3 - 1 + k - k + 6 - 5*k**2. What is the remainder when 9 is divided by l(5)?
4
Let g be 30*((-12)/(-5) + -2). Let f be (2 - 1/(-2))*g. Suppose -w = w - f. Calculate the remainder when 28 is divided by w.
13
Let h be (-4 + (4 - 2))*-2. Suppose -4*d + 4 + h = 0. Calculate the remainder when 2 is divided by d.
0
Suppose x + 17 = -7*l + 2*l, -2*x = -l - 10. Let n be (1/(-2))/((-2)/20). Suppose 3 + 32 = n*b. What is the remainder when b is divided by x?
1
Suppose 0 = 3*f + 15, -i - f = -2*i + 66. Suppose 3*x - 63 = -3*n, 5*n + 21 = x + n. What is the remainder when i is divided by x?
19
Let k(v) = 38*v. Calculate the remainder when k(1) is divided by 1 - 4/8 - 75/(-6).
12
Let p be -2*(-4 + 3 - 0). Suppose -p*c + 51 = -0*c - 3*t, 114 = 4*c - 2*t. Calculate the remainder when c is divided by 11.
8
Let y = 60 + -35. Calculate the remainder when y is divided by (-25 + -3)*(-4)/16.
4
Let x = 107 + -82. Calculate the remainder when x is divided by 14.
11
What is the remainder when ((-28)/6)/((-5)/15) is divided by 5?
4
Calculate the remainder when (-2)/(-8) - (-30)/8 is divided by 3.
1
Let j be (-3)/3*-125 - 1. Let d = j + -84. Let i(f) = 2*f. What is the remainder when d is divided by i(7)?
12
Suppose -3*v + 6*v = -18. Let n(b) = b**3 + 7*b**2 + 6*b + 2. Let w be n(v). Suppose 9 = w*x + 1. What is the remainder when x is divided by 3?
1
Suppose 2*u = b - 17, 3*u = -b - u + 17. Calculate the remainder when b is divided by 6.
5
Let t = 2 + 3. Suppose -2*s - 144 = -t*s. Calculate the remainder when s is divided by 25.
23
Let t(a) = 7*a**2 + 3*a + 7. Let c(w) = -13*w**2 - 5*w - 13. Let g(m) = -6*c(m) - 11*t(m). What is the remainder when g(5) is divided by 6?
5
Suppose -z - 3*z = -208. Let g = z + -37. Calculate the remainder when 42 is divided by g.
12
Suppose 0*b - 3*b = 2*r - 7, -b = 3. Suppose -5*c - 17 - 3 = 0, 2*c + 153 = 5*v. What is the remainder when v is divided by r?
5
Calculate the remainder when 156 is divided by (-2)/((-102)/(-106) + (-10 - -9)).
50
Let p(o) = -15*o + 2. Let h be p(2). Let l = 71 + h. What is the remainder when l is divided by 15?
13
Suppose -f - 4 = f. Let a(h) = h**3 + 3*h**2 + h + 1. Let p be a(f). Suppose -o + p*o = 26. Calculate the remainder when o is divided by 5.
3
Suppose q = 5 + 5. Suppose 3*r - 6 = 3. Suppose 5 = -5*j, 4*k - r*j - 20 = 95. What is the remainder when k is divided by q?
8
Let t(h) = 2*h**2 - 18*h - 2. Calculate the remainder when 67 is divided by t(10).
13
Suppose -2*k + 5 = -5. Suppose 3 + 15 = 4*n - 3*f, k*n - 17 = f. Let r(j) = -j**2 + 6*j + 3. What is the remainder when r(5) is divided by n?
2
Let k(v) = v. Let u be k(4). Suppose -6 = -u*n + 42. What is the remainder when 23 is divided by n?
11
Suppose 78 + 21 = 9*c. What is the remainder when c is divided by 3 - (1 - (-1)/(-1))?
2
Let g = -198 - -242. Suppose -2*r = -0*r + 5*y - 15, -4*r + 3*y + 69 = 0. Calculate the remainder when g is divided by r.
14
Suppose 132 = 2*n + n. Calculate the remainder when n is divided by 15.
14
Let n(h) = h**3 + h**2 + 2*h - 2. Suppose 4*g = 2 + 30. What is the remainder when n(2) is divided by g?
6
Suppose 0 = -4*j - j + 230. Let t 