 + f - 1. What is the remainder when v is divided by o(2)?
4
Suppose 5*r - 47 = 43. Suppose f - r = -0*f. Calculate the remainder when 33 is divided by f.
15
Let t = -257 + 400. Suppose a + 648 = 19*a. What is the remainder when t is divided by a?
35
Let n(g) = g**3 - 15*g**2 - 13*g + 18. What is the remainder when n(16) is divided by 23?
20
Let n = 9 - -10. Let o = -2 - -12. What is the remainder when n is divided by o?
9
Let c(s) = -4*s**2 - 5*s + 6*s**2 + 9*s + 1. Let n be c(-3). Suppose 5*d - 57 + n = 0. Calculate the remainder when 39 is divided by d.
9
Suppose 3*d + 46 = -s + 2*s, 145 = 4*s + d. Calculate the remainder when s is divided by 20.
17
Let b = -15 + 19. What is the remainder when 17 is divided by b?
1
Let g be 1*2 - (-4)/(-2). Suppose g = -a + 4*a - 60. What is the remainder when a is divided by 7?
6
Let n(y) = y**2 + 7. Suppose -3*v + 3 = 0, 4*d + 4*v - 8*v - 12 = 0. Calculate the remainder when n(d) is divided by -2 - 8*(-2 + 1).
5
Suppose -7*z + 5*z + 12 = 0. Let s(v) = -v + 7. Let y be s(6). Let t(g) = 4*g**2. What is the remainder when z is divided by t(y)?
2
Let v = -6 + -7. Let c = 25 + v. Let l = -58 + 105. What is the remainder when l is divided by c?
11
Calculate the remainder when (-6)/4*(-74)/3 is divided by (40/2)/(-7 + 9).
7
Let u = 12 - 8. Suppose -u*v = -0*v - 20. Calculate the remainder when 7 is divided by v.
2
Let d = 214 + -207. What is the remainder when 2/(-3) - (-70)/6 is divided by d?
4
Suppose 0 = 6*y - 5*y. Suppose y*r = 5*h + 2*r - 62, 8 = -2*r. What is the remainder when 25 is divided by h?
11
Suppose -4*k - 44 = -8*k. Calculate the remainder when 53 is divided by k.
9
Suppose 0 = -5*k - 2*h, 4*k + 0*h = -h. Suppose 0 = t - k*t. Suppose t = -q + 14 + 16. Calculate the remainder when q is divided by 8.
6
What is the remainder when (-55 + -3)/(2/(-3)) is divided by 30?
27
Let f = -7 - -16. Calculate the remainder when (-10)/4*32/(-5) is divided by f.
7
Let i = -7 - -13. What is the remainder when 29 is divided by i?
5
Suppose 4*t - v = 5, -v + 19 = 2*t + 4*v. Suppose 2*o - 15 = w, -w = -2*o - t*o + 29. What is the remainder when 27 is divided by o?
6
Let b(q) = -32*q**3 + q**2 + 3*q + 2. Calculate the remainder when 123 is divided by b(-1).
27
Let q be 435/(-21) - (-4)/(-14). Let o(s) = 10*s + 33. Let h be o(-7). Let d = q - h. Calculate the remainder when 46 is divided by d.
14
Let a be (-6)/(-8) + 97/4. Let m = 16 - a. Let f = m - -28. Calculate the remainder when f is divided by 10.
9
Let b = 1 + 1. Suppose b*f - 4*f = -36. Let p = -4 - -14. What is the remainder when f is divided by p?
8
Let q = 3 + -3. Suppose -5 = -p - q*p. Suppose p*w - 60 = w. What is the remainder when 43 is divided by w?
13
Suppose 3*l + 3*l - 114 = 0. Calculate the remainder when 36 is divided by l.
17
Let l = 115 + -109. Calculate the remainder when ((-20)/(-3))/((-2)/(-6)) is divided by l.
2
Let g(p) = -p**2 - 2 + 2*p + 1 + 0 - 6*p. Let q be g(-3). Suppose 31 + 22 = 5*b + q*f, b - 5 = f. What is the remainder when 26 is divided by b?
8
Let a(f) = f**2 - f - 1. Let t be a(0). What is the remainder when 11/((-1)/(t - 0)) is divided by 3?
2
Let g = -177 + 182. Calculate the remainder when g is divided by 1.
0
Let s(w) = -161*w - 1. Let x be s(-1). Suppose k = 5*d + 56, -k + 6*k = d + x. Calculate the remainder when k is divided by (-1)/(-3) + 64/6.
9
Suppose 2*d = -13 + 105. Suppose -3*h - 9 + 23 = -z, 0 = 5*h + 4*z - d. Let j(o) = -o**2 + 9*o - 2. Calculate the remainder when j(h) is divided by 6.
4
Suppose -2*l - 3*i - 31 = -4*l, l = 2*i + 14. Calculate the remainder when l is divided by 14.
6
Suppose 2*x = -2*x + 8. Suppose 3*h = x*f + 143, -3*h + 61 = -2*h + 2*f. Calculate the remainder when h is divided by 13.
12
Suppose 0 = -3*t + 4*t - 21. Calculate the remainder when t is divided by 22*2/(-8)*-2.
10
Let v be (-14)/(-1)*(-20)/(-8). Let d(f) = f**2 + 6*f. Let w be d(-7). Suppose -v = -2*i - w. Calculate the remainder when i is divided by 5.
4
Let f(l) = -1 - 1 - l**2 - 1 + 0*l - 7*l. What is the remainder when f(-6) is divided by 2?
1
Suppose 0 = 3*f + u - 15 + 3, 5*f + 5*u = 10. Suppose 4*x = -x + 20. Calculate the remainder when 4/(2/16*x) is divided by f.
3
Suppose 0*r = 2*r - 20. Let i = 18 - r. What is the remainder when 13 is divided by i?
5
Suppose -6 = l - 21. What is the remainder when (10/(-24) - 2/6)*-36 is divided by l?
12
Let t = 25 + -4. Calculate the remainder when t is divided by 11.
10
Let p be 9 + (0 - (3 + 0)). Suppose -p*n - 56 = -2*n. Let r = n + 25. Calculate the remainder when r is divided by 6.
5
Let f(a) = -a**3 - 4*a**2 + 1. Let j be f(-4). Suppose 4*k + 37 = 5*k - 3*d, 139 = 4*k - 3*d. What is the remainder when k is divided by j + 12 + (-4)/4?
10
Suppose 4*g - 107 = 3*g. What is the remainder when g is divided by 27?
26
Suppose -2*s + 8 = -0. Suppose -c = 3*p - 0 + 10, p - 15 = -s*c. Let z(k) = -2*k + 1. What is the remainder when z(-6) is divided by c?
3
Let l(v) = v**2 - 21*v - 31. Calculate the remainder when 23 is divided by l(23).
8
Suppose -1 = x + 2, -x = -5*v + 58. What is the remainder when v is divided by 6?
5
Suppose 0 = -3*f + 15, -55 = -5*u - 2*f + 6*f. Let d be 114/(3/(-1)) - -3. Calculate the remainder when u is divided by (-78)/(-10) + (-7)/d.
7
Let k = -325 - -387. Let v = 6 - 4. Suppose 51 - 9 = v*l. What is the remainder when k is divided by l?
20
Suppose -5*o + 3*o = -48. Suppose -56 = -4*n - o. Calculate the remainder when 13 is divided by n.
5
Let g = 9 - 3. Suppose p + 4*p - 5*s + 10 = 0, 0 = 5*p - s - g. Suppose 3 = y + 2*y. Calculate the remainder when p is divided by y.
0
Let f(y) be the first derivative of -y**3/3 + 5*y**2 - 6*y + 1. Suppose -2*p = 2*p - 16. Calculate the remainder when f(p) is divided by 7.
4
Let p = -20 + 36. Calculate the remainder when 46 is divided by p.
14
Let z = 44 + -27. Suppose 4*i = 41 + 91. What is the remainder when i is divided by z?
16
Let f(g) = -g**3 + 5*g**2 + 7*g - 9. Let h be f(6). Let j = 14 - h. Calculate the remainder when 33 is divided by j.
16
Suppose -2*v - 4*o + 46 = 0, -v + 3*v - 62 = 4*o. Suppose -5*q - 9 = -2*x - 73, 33 = 3*q - 3*x. Calculate the remainder when v is divided by q.
13
Let y(n) be the third derivative of n**4/8 - 5*n**3/3 - 2*n**2. Calculate the remainder when 45 is divided by y(6).
5
Let n(y) = 4*y + 3. Suppose 4*f = -3*d - 70, 0*f - 8 = 2*f. Let l = 26 + d. Calculate the remainder when n(3) is divided by l.
7
Let i(y) = y + 1. Let t(q) = -q**3 - 4*q**2 + 6*q + 5. Let n be t(-5). Calculate the remainder when 22/6 - 4/6 is divided by i(n).
0
Suppose -3*l = -4*u - 143, u + 85 + 159 = 5*l. What is the remainder when l is divided by 17?
15
Calculate the remainder when (-1248)/(-91) - 4/(-14) is divided by 4.
2
Let d(q) = q**2 + q + 10. Let a be d(0). Let j = 15 - a. Calculate the remainder when 18 is divided by j.
3
Let a(v) = v**3 - 9*v**2 - 7*v - 6. Let m be a(10). Suppose o - m = -o. Let q(u) = -33*u**3 + 2*u**2 - 1. What is the remainder when q(-1) is divided by o?
10
Calculate the remainder when 46 + 4 + (-12)/3 is divided by 10.
6
Suppose 3*z - 9 = 0, z + 2*z = p - 45. Let r = p + -25. What is the remainder when r is divided by 5/((-6)/4 - -2)?
9
Let h = 79 + 12. What is the remainder when h is divided by 31?
29
Let m = 15 - 0. Let u = 2 - -27. Calculate the remainder when u is divided by m.
14
Suppose -4*q + 124 + 48 = 0. Suppose -5*i = 5*j - 125, -5*i - j = j - 113. Let f = i + -6. What is the remainder when q is divided by f?
13
Let q = 8 - 21. Let y = q + 3. What is the remainder when (-46)/y - (-6)/15 is divided by 2?
1
Let i(w) = -w**2 + 9*w + 22. Calculate the remainder when (-4)/6 - 346/(-6) is divided by i(10).
9
Let h(k) = 3*k - 7. What is the remainder when 40 is divided by h(6)?
7
Suppose 0 = 3*a - 0*a - 51. Let g = a - 6. Suppose -2*m + 84 = 2*m. What is the remainder when m is divided by g?
10
Suppose 0 = -4*x + x. Suppose -4*o + 8 = 4*z, z + 0*z + 4*o - 8 = x. Suppose -49 = -k - z*k. Calculate the remainder when k is divided by 17.
15
Suppose 0 = 11*p - 20*p + 45. Calculate the remainder when p is divided by 1.
0
Suppose 0 = -5*a + 16 + 9. Calculate the remainder when 12 is divided by a.
2
Let o = -46 + 62. What is the remainder when 62 is divided by o?
14
Let p(f) = -6*f**2 + 5*f**