 the remainder when 47 is divided by f.
13
Suppose 0 = 4*b + b - 35. Let f(t) = 2*t**2 - 8*t - 5. Calculate the remainder when f(6) is divided by b.
5
Let u = 5 + -2. Let a = u - -3. Suppose -3*s + 28 = 5*g, s + 7 = 2*g + 20. Calculate the remainder when s is divided by a.
5
Let p be 1/((-2)/4) - -290. Suppose -5*y - 73 = -p. Suppose 5*c + 10 = 0, -6*s + 21 = -5*s - 5*c. Calculate the remainder when y is divided by s.
10
Suppose a - 3*o - 18 = 0, 5*a - 2*o = 8*a - 10. Let p = 10 + 5. What is the remainder when p is divided by a?
3
Let a = 33 + -11. Let m = 32 - a. Calculate the remainder when 28 is divided by m.
8
Suppose -2*x - 3 = 3*b, -4 = -4*x - 3*b + 5. Let o = 18 + -11. Suppose 4*y + o = n - 0, -n + 10 = -y. What is the remainder when n is divided by x?
5
Suppose -3*r - 2 = -7*r + 2*b, -5*r + 4 = -2*b. Suppose 51 = r*q + q. Calculate the remainder when q is divided by 5.
2
Suppose 64 = -h + 5*h. Calculate the remainder when 47 is divided by h.
15
Let i = -72 + 79. What is the remainder when 11 is divided by i?
4
Let z = -23 + 30. Calculate the remainder when 55 is divided by z.
6
Suppose 0*n - n + 2 = 0, -4*o = 5*n - 38. Suppose -4*f = 8, -2*w + f + o = -3. What is the remainder when (36 + 2)/(w - 3) is divided by 20?
18
Let q(m) = -m**2 + 2*m - 5. Let f be q(4). Let x = f - -22. Calculate the remainder when x is divided by 6.
3
Suppose 0*i + 14*i = 392. Let j(f) = 3*f**2 - 2. Calculate the remainder when i is divided by j(-2).
8
Let n = -21 - -34. What is the remainder when n is divided by 9?
4
Let b be 0/(3/3 + 0). Suppose 3*c - 3*y = -b*c + 18, 5 = -y. Let f = 4 + c. What is the remainder when 9 is divided by f?
4
Suppose -4*i + 18 = -2*i. Suppose -v = -3*v + 4. Let x(b) = 6*b**2 + 2. Calculate the remainder when x(v) is divided by i.
8
Let h(c) be the first derivative of -c**4/4 - 2*c**3 - 7*c**2/2 - 3*c - 3. Calculate the remainder when h(-5) is divided by 4.
3
Suppose 3*f - 55 = w - 21, 4*f + 5*w - 39 = 0. What is the remainder when f is divided by 4?
3
Let m be (-2)/(-2 - 204/(-105)). Let l = 52 - m. What is the remainder when 66 is divided by l?
15
Suppose 0*a + 3 = a. Suppose 4 = 2*i + a*z - 4, -3*i + 12 = -5*z. Let s(n) = 2*n**2 + 7*n + 6. What is the remainder when s(-4) is divided by i?
2
Suppose 0 = 5*a - 5*p - 55, 6*a - 3*a + 5*p = 57. Calculate the remainder when 39 is divided by a.
11
Suppose 3*v - 3*p = 60, -3*v + 82 = v - 2*p. Let f(j) = -j**3 - 9*j**2 - 8*j - 12. Calculate the remainder when f(-9) is divided by v.
18
Suppose -3*v = -z - 13, -z + 17 = 4*v - v. Calculate the remainder when v is divided by ((-8)/(-12))/(2/9).
2
Let u = 7 - 11. Let l = u + 7. Calculate the remainder when 6 is divided by l.
0
Suppose -s - 15 = -4*s. Let h(t) = t**2 + 6*t + 7. Let u be h(s). Suppose u = 5*q - 43. Calculate the remainder when q is divided by 11.
10
Suppose -4*u = 2*d - 52, -7*d + 3*u = -2*d - 169. Calculate the remainder when 30 is divided by 15/10*d/3.
14
Suppose 24 = 2*f + f. Calculate the remainder when 31 is divided by f.
7
Let y = -70 - -49. Let t = y - -34. Calculate the remainder when t is divided by 4.
1
Let x(l) = -4*l + 5. Calculate the remainder when 111/1 + 8/2 is divided by x(-6).
28
Let i = 158 + -66. Let u be (2 + -36)*6/4. Let a = i + u. What is the remainder when a is divided by 14?
13
Suppose 2*h = -3*g + 4, -3*h - 5*g = -h. Suppose h*z + 2*r = 13, 3*z + r - 3 - 5 = 0. Calculate the remainder when 10 is divided by z.
1
Suppose 2*j + 6 = y, 0 = -5*y + 4*j + 20 + 28. Calculate the remainder when 34 is divided by y.
10
Let m be (-15)/(-3) - (3 + -3). Suppose 0 = m*c + 5, 5*y + 0*c = 2*c + 22. What is the remainder when (-20)/6*(-3)/1 is divided by y?
2
Let s(f) = f**3 - 2*f**2 + f + 151. Calculate the remainder when s(0) is divided by 39.
34
Let w be -1*14*(-9)/(-2). Let g = w + 111. Let p = g + -31. Calculate the remainder when p is divided by 9.
8
Let j(n) = 6*n + 2. What is the remainder when 125 is divided by j(5)?
29
Let l(b) = 2*b**2 + 9*b + 11. Suppose 0 = -w + p + 13, 3*w = -0*p - 3*p + 33. What is the remainder when l(-7) is divided by w?
10
Let g(c) = 3*c**2 - 6. Calculate the remainder when g(2) is divided by 5.
1
Suppose 3*r = -5*t + 353 + 1496, 1846 = 5*t + 2*r. Suppose -7*q = -3*q + t. Let u = -61 - q. What is the remainder when u is divided by 16?
15
Suppose x = 10 + 25. Calculate the remainder when x is divided by 18.
17
Let k(u) = 3*u + 34. Let l = -46 - -96. Calculate the remainder when l is divided by k(-7).
11
Suppose m - 90 = -m - v, -5*m + 224 = 2*v. Let t(p) = p**3 - p + 3 + p**2 - 4*p - p**2. What is the remainder when m is divided by t(3)?
14
Let j(o) = o**3 - 10*o**2 + 11*o + 8. Let w be j(9). Let u = w - 9. What is the remainder when u is divided by 10?
7
Let h = -16 - -30. Calculate the remainder when -4*(-13)/(-2)*-1 is divided by h.
12
Let b = -4 - -3. Let u = 1 + b. Suppose -2*s + 8 + 18 = u. Calculate the remainder when 38 is divided by s.
12
Let r(a) = -a - 4. Let b(j) = -j - 1. Let p(g) = -2*b(g) + r(g). Let c = 4 - 1. What is the remainder when 1 is divided by p(c)?
0
Suppose -15 = -3*z + 9. Let s be ((-2)/4)/((-3)/30). Suppose -131 = -s*v - 0*v - 4*k, -4*v - 5*k + 112 = 0. What is the remainder when v is divided by z?
7
Let r(k) = k**3 + 2*k**2 - k - 1. Let z be r(-2). What is the remainder when 27 is divided by -25*(z - (-16)/(-10))?
12
Calculate the remainder when 60 + 2 + 4/(-1) is divided by 15.
13
Let b(s) = -9*s + 11. Let n(y) = 13*y - 16. Let t(f) = 7*b(f) + 5*n(f). Let d = -3 + 7. Calculate the remainder when t(d) is divided by 2.
1
Suppose -2*i + 5*i - 21 = 0. Let l = 0 + 2. Calculate the remainder when 15 - 1 - 2/l is divided by i.
6
Suppose 2*w - 12 = -0*s - 2*s, 0 = -5*w + 4*s + 66. Let b be (-2)/(-2) - (2 - 1). Suppose b = -3*h - h + 72. What is the remainder when h is divided by w?
8
Let o = -4 - -10. Suppose -5*d + 19 = -w, o*w + 6 = -2*d + 3*w. Suppose 2*z - 2*t + 2 = 0, -7 + 1 = d*z - 4*t. What is the remainder when z is divided by 2?
0
Let q(p) = -6*p + 15. What is the remainder when q(-8) is divided by 22?
19
Let q = 57 - 41. What is the remainder when 61 is divided by q?
13
Suppose 7*r = 12*r - 10. Suppose -2*z - r*z = 5*v - 75, -5*z = -2*v - 102. What is the remainder when 77 is divided by z?
17
Suppose -5*i = -3*r + 1, -5*r + 0*i + 5 = -5*i. Suppose -2*k + r*v = -32, -4*k + 69 = -5*v + 2*v. What is the remainder when k is divided by 12?
9
Calculate the remainder when 90 is divided by 10/4*104/20.
12
What is the remainder when 32 is divided by (-2 + -1)/(3/(-11))?
10
Let z(s) = s**2 - s + 3. Let c be z(0). Suppose d - 8 = 2*j + 5, 3*d - c*j = 33. Calculate the remainder when 17 is divided by d.
8
Suppose -w = w - 5*k, -w - k + 7 = 0. Suppose -6*d - 2*x = -w*d - 14, 2*d - 10 = 2*x. What is the remainder when 13 is divided by d?
5
Let r be 22 - (-6)/(-4 - -1). Suppose 4*x - 36 = 2*m, -3*x + r = 2*x. Calculate the remainder when 5/(m/4) - -21 is divided by 10.
9
Let b = -29 - -40. Let n(g) = 3*g - 1. Calculate the remainder when n(7) is divided by b.
9
Suppose -10 + 2 = -2*a. Suppose 2*j - a = -0*j. Suppose 3*g = n + 55, -n - j*n - 32 = -2*g. Calculate the remainder when g is divided by 10.
9
Suppose 5*g = -16 + 146. Let l be -1*(2 + 0 + -6). Suppose -t + 45 = l*t. Calculate the remainder when g is divided by t.
8
Suppose 2*d - 22 = -3*p, -4*d + 11 = p - 13. Suppose -5*i + 22 + 9 = 2*v, -4*i = d*v - 86. What is the remainder when v is divided by 5?
3
Let k be 30/9 - 2/6. Let h(m) = -m + m - m - 3*m**2 - 4 - m**k. Calculate the remainder when h(-4) is divided by 6.
4
Suppose -5*b + 6 = -9. Suppose b*y - 4*y = -19. What is the remainder when y is divided by 11?
8
Suppose s = 5*r + 55, -5*s - 2*r - 2*r = -217. What is the remainder when s is divided by 23?
22
Let h be (0 - -3)*4/6. Suppose -2*j - a = -6, -2*a = j - a - h. Suppose 5*n + d - 67 = j*d, 2*d = 2. Calculate the remainder when 41 is divided by n.
13
What is the remainder when 14 is divided by (-3 + 2)/(2/(1 + -11))?
4
Let t(p) = -p + 34. Suppose -396 = 3*r - 7*r. What is the remainder when r is divided by t(9)?
24
Suppose h = 293 - 170. Calculate the remainder when h is divided by 21.
18
Let l(m) = 7*m**2 + m - 1. Let c = -11 - -12. What is the remainder when 18 is divided by l(c)?
4
Let p = -17 