 What is the remainder when 29 is divided by v(x)?
9
Suppose 4*r = -w - 0*w - 68, 4*r = -4*w - 56. Let d = r - -29. Suppose v = 2*v - d. Calculate the remainder when v is divided by 6.
5
Suppose -5 = -4*o + 7. Let u = -1 - -3. Suppose 4 + u = 3*p. What is the remainder when o is divided by p?
1
Suppose 5*y - 13*y + 176 = 0. What is the remainder when 108 is divided by y?
20
Let j(x) = -2*x + 1. Calculate the remainder when 16 is divided by j(-4).
7
Let m(z) = 3*z**3 - z**2 - 4*z + 1. Let n be m(3). Suppose -2*s + 113 = 3*j, 4*s = -3*j + 4*j - n. What is the remainder when j is divided by 21?
20
Let t be 4/(-14) + (-75)/105. Calculate the remainder when 10 is divided by -2 - (t + -7 - -2).
2
Suppose -3*g - 4*o = -101, 4*g = -g - 2*o + 187. Suppose 0*n + g = 3*n. What is the remainder when n is divided by 5?
3
Suppose 5*p - 9 = 6. Calculate the remainder when 8 is divided by p.
2
Suppose -4*s + 20 = 0, -3*s + 12 = 2*o - 3*o. Let r = 7 - o. Calculate the remainder when 15 is divided by r.
3
Let j = 0 + 1. Suppose j = -z + 7. Calculate the remainder when (-3*2 - -3)*-7 is divided by z.
3
Let h = -5 - -7. Suppose 2*z + 6 = n, -n = 3*n - h*z - 6. Suppose n = 5*l - 10 - 0. What is the remainder when 7 is divided by l?
1
Let r(i) = i**3 - 5*i**2 + i + 1. Calculate the remainder when 17 is divided by r(5).
5
Let h(n) = 3*n - 5. Suppose 0 = -2*o + 3*o - 20. What is the remainder when o is divided by h(4)?
6
Let t = -18 + 32. Let i = -9 - -35. Calculate the remainder when i is divided by t.
12
Suppose -783 = -3*w - 6*w. Suppose -n = -42 + 101. Let p = n + w. What is the remainder when p is divided by 10?
8
Suppose -6*f = -2*f - 12. Let i = 5 - 1. Suppose 3*q = 5*v + q - 17, -3*v - 1 = -i*q. Calculate the remainder when v is divided by f.
2
Let n = -36 + 75. Suppose -2*d - 5*z = -10*z - 67, 4*d - 2*z - 94 = 0. What is the remainder when n is divided by d?
18
Let k = 38 - 11. Calculate the remainder when 107 is divided by k.
26
Let f = -12 + 8. Let j(b) = 2*b**2 + 2*b - 1. What is the remainder when j(f) is divided by 13?
10
What is the remainder when 16 is divided by 2/(-5) + (-512)/(-80)?
4
Let s = -19 + 44. Suppose -3*r + 23 = c, -c - 2*r - 1 = -s. What is the remainder when c is divided by 9?
8
Let u(w) = -w**2 - 7*w - 7. Let x(k) = 3*k + 4. Let b be x(-3). Calculate the remainder when u(b) is divided by 1/((1 - -1) + -1).
0
Let z(t) = -8*t**2 + 2*t + 3. Let g be z(-3). Let l = g + 143. What is the remainder when l is divided by 23?
22
Let w = 0 + 4. Suppose -10 = -2*n - w. Calculate the remainder when 7 is divided by n.
1
Let z(v) = v**3 + 9*v**2 - 2*v - 2. Calculate the remainder when z(-3) is divided by 21.
16
Let k be ((-9)/(-4) + -1)*4. Suppose -k*y = -4*y - 34. Let w = 21 - 9. Calculate the remainder when y is divided by w.
10
Let x = -1 - -4. Let a be (0 - -2)*(2 - 0). Suppose x*u - 22 = -a*n + 31, n = 3*u - 28. What is the remainder when 21 is divided by u?
10
Suppose 0*v - 285 = -5*v. Calculate the remainder when v is divided by 15.
12
Let x(i) = -i + 3. Let w be x(0). Let f = -31 + 49. Suppose -2*z - f = -w*z. Calculate the remainder when z is divided by 10.
8
Let h be 207/(-8) + (-4)/32. Let j(x) = 4*x + 2. Let c be j(-2). Calculate the remainder when 13 is divided by h/c + 6/9.
3
What is the remainder when 72 is divided by 4 + (-1*(0 + 4) - -37)?
35
Suppose -53 = -5*q + 2. Suppose -7*d + q*d = 352. What is the remainder when d is divided by 30?
28
Let s(n) be the first derivative of n**3/3 + n**2/2 + 4*n + 1. Suppose -4*a - 7*h + 3 = -4*h, -2*a - 3 = -3*h. What is the remainder when 7 is divided by s(a)?
3
Suppose k - 4 - 36 = 0. What is the remainder when k is divided by 14?
12
Suppose 5*g - 54 - 6 = 0. What is the remainder when 47 is divided by g?
11
Calculate the remainder when (-8)/(-6)*(-9)/(-6) is divided by 24/16*(-4)/(-6).
0
Suppose 6*d = 4*c + d + 29, 5*c - 3*d + 33 = 0. What is the remainder when (-56)/(-3) - (-4)/c is divided by 7?
4
Suppose 2*n = 4, 3*z + z - 220 = 4*n. Calculate the remainder when z is divided by 16.
9
Let g = 24 - 16. Let y be -83 - ((-3)/3 - 1). Let j = -58 - y. Calculate the remainder when j is divided by g.
7
Suppose 0 = 3*r + 4*p - 160, -60 = -2*r + 4*p + 40. Suppose 5*v = 5*q + 223 + r, 215 = 4*v - 3*q. What is the remainder when v is divided by 13?
11
Let k(c) = c**2 + 4*c - 4. Let v be k(-6). Suppose 4*a = -3*w + v, -a - 16 = -w - 4. Suppose -5*p + 7 = -63. Calculate the remainder when p is divided by w.
6
Let r(j) be the third derivative of 5*j**4/8 - 5*j**3/6 - 3*j**2. Calculate the remainder when r(5) is divided by 18.
16
What is the remainder when (-3)/2 - 28/(-8) is divided by 1?
0
Calculate the remainder when (150/9)/((-8)/(-12)) is divided by 9.
7
Let a = 7 - 5. Calculate the remainder when 49 is divided by 150/9*3/a.
24
Suppose 3*v + i - 56 = 0, -v = 2*i - 4 - 23. Calculate the remainder when 66 is divided by v.
15
What is the remainder when (-20 - 1)*(-1)/(-6)*-2 is divided by 6?
1
Suppose 3*n = -5*x + 9, -3*x + 4*x + 5*n = 15. Suppose 2*p = p + 2, -2*u + 4*p - 50 = x. Let i = u + 30. What is the remainder when 17 is divided by i?
8
Let b = 29 - 18. Let m(o) = 9*o + 2. Calculate the remainder when m(2) is divided by b.
9
Let s = -4 + 7. Suppose 2*k - 1 = f, s*k = 13 - 1. What is the remainder when f is divided by 4?
3
Let v(h) = -h**3 + h**2 + 4*h + 3. Let p be v(-2). Suppose -1 = 3*a - 4*c, 0 = a - 5*c + p + 8. Calculate the remainder when 80/6 - 1/3 is divided by a.
3
Calculate the remainder when (-8 - 81)/(0 + -1) is divided by 15.
14
Let c = 0 + 18. Calculate the remainder when 8 is divided by c/30 - 24/(-10).
2
Let t(v) = 2*v**3 + v + 1. Let n be t(-1). Let p(r) = r + 2. Let a be p(n). Suppose a = 4*f - f - 39. What is the remainder when f is divided by 5?
3
Suppose -5*s + 10 = 3*a, -a - 7 = 5*s + 3. What is the remainder when 41 is divided by a?
1
Let m = 7 + -11. Let o = 7 + m. Suppose 3*f + 9 = 2*j + 4*f, 4*j + 5*f - 15 = 0. What is the remainder when j is divided by o?
2
Let h = 131 - 65. What is the remainder when h is divided by 14?
10
Let j = 228 + -165. Calculate the remainder when 186 is divided by j.
60
What is the remainder when 19 is divided by 0 + 5 + -2 + 4?
5
Let k = 6 + -3. Let i = k - 1. Calculate the remainder when (i/3)/((-6)/(-117)) is divided by 5.
3
Let z(q) = -5*q**3 - 2*q**2 + q - 2. Calculate the remainder when 82 is divided by z(-2).
26
Suppose -p + 67 = -54. What is the remainder when p is divided by 1/((-5)/(-155 + 0))?
28
Suppose c = 4*c - 5*n, -n = 0. What is the remainder when 44 + (-2)/(2 + c) is divided by 22?
21
What is the remainder when (7 - -12)*(-3)/(-1) is divided by 10?
7
Let w = -31 - -47. Let r = 93 - 40. Let g = r - w. What is the remainder when g is divided by 19?
18
Suppose 0 = 6*a - 58 - 26. Let x be (6/4)/((-1)/(-10)). Calculate the remainder when a is divided by 3/((36/x)/4).
4
Suppose -3*z + 68 = -z. Let c = -11 + z. What is the remainder when c is divided by 8?
7
Let i(w) = -10*w + 6. Calculate the remainder when 74 is divided by i(-2).
22
Suppose 0 = 4*r - 0*r - 56. Let b(x) = -x**3 + 7*x**2 + x - 2. What is the remainder when b(6) is divided by r?
12
Suppose -2*s + s = 14. Suppose 6*w - 3*w - 27 = 0. Let i = w - s. Calculate the remainder when i is divided by 12.
11
Let p(g) = -g + 3. Let m(h) = -h + 2. Let s(c) = -11*m(c) + 6*p(c). Let b = 157 - 136. What is the remainder when b is divided by s(3)?
10
Let h = -102 + 149. Calculate the remainder when h is divided by 24.
23
Suppose -3*w + 59 = 5*g, 3*w + 21 = 3*g - 0*g. Calculate the remainder when 219/9 + (-1)/3 is divided by g.
4
Let s(r) = -r**2 + 8*r - 3. Let y(a) = -a**3 + 12*a**2 + a - 7. Let o be y(12). What is the remainder when (-722)/(-22) - 6/(-33) is divided by s(o)?
9
Let k(w) = 2*w + 3. Calculate the remainder when 3 is divided by k(0).
0
Let x be 2/8*-2*-4. Suppose x*s + 0*s - 114 = 0. Calculate the remainder when s is divided by 107/7 + 6/(-21).
12
Suppose -5*j = -4*q + 112, -2*j + 3*j + 28 = q. What is the remainder when 109 is divided by q?
25
Let g(d) = 13*d**2 - d. Let z be 3/(-2)*32/(-24). Let o be g(z). Suppose -o = b - 3*b. Calculate the remainder when b is divided by 7.
4
Let b be 854/(-22) + (-2)/11. Let g = b - 6. Calculate the remainder when 31 is divided b