is divided by x.
12
Suppose 0 = -4*m - 3 + 15. Suppose 0*h = -z - 5*h + 38, -3*z - m*h = -66. Calculate the remainder when 52 is divided by z.
16
Let g = -7 - -15. Suppose 2*p - 4*h - 24 = 0, 0 = 3*p - 3*h - 7 - 32. Calculate the remainder when p is divided by g.
6
Let f(y) = -y**2 + 6*y - 3. Let a = -2 + 5. Let g = a - 1. What is the remainder when f(5) is divided by g?
0
Suppose -p + 1 = -2. Let n = 42 + -25. Let t = n + -12. Calculate the remainder when t is divided by p.
2
Suppose 0*n = -n - 12. Let b = n - -18. Calculate the remainder when 21 is divided by b.
3
Suppose 106 = 5*i - 3*j + j, 100 = 5*i - 5*j. Suppose 7*p = 10*p. Suppose -4*a - 3 + 35 = p. Calculate the remainder when i is divided by a.
6
Suppose 5*z + 2*j - 174 = 0, -2*z + 64 = 4*j - 6*j. Let x = 33 + -20. Let q = -1 + x. Calculate the remainder when z is divided by q.
10
Let k = -40 + 70. Suppose k = -5*p + 85. What is the remainder when 19 is divided by p?
8
Let z = 2 - 0. Suppose -3*j = z*m - 8 - 17, -3*j - 4*m = -35. What is the remainder when 14 is divided by j?
4
Let y(k) = -k**3 + 5*k**2 + 7*k - 4. Suppose 0 = -t - 1, 3*l + 4*t = -3 + 26. Calculate the remainder when y(3) is divided by l.
8
Suppose 4*n + 2 = 3*c - 3, c - 4*n = 7. Calculate the remainder when 14 is divided by (3 + -3)/c + 4.
2
Let h be ((-2)/4)/(10/(-220)). What is the remainder when 133 is divided by h/(-44) - 137/(-4)?
31
Let y = 63 + -58. Let a(m) = 2*m**2 + 4*m - 4. What is the remainder when a(-4) is divided by y?
2
Calculate the remainder when 39 is divided by 1 + (-6 - -2) - -23.
19
Let q = -77 - -334. Suppose 5*l + 132 = r, -3*l - q = -2*r - 0*l. What is the remainder when r is divided by 32?
31
Suppose -u = 3*f - 8, -2*u = 2*f + f - 10. Calculate the remainder when (-5 - u)/(-1*1) is divided by 4.
3
Let c = 18 - 10. What is the remainder when (c/(-16))/(1/(-168)) is divided by 29?
26
Let v(k) = -k**3 + 9*k**2 - 7*k + 2. Let b be v(8). Suppose 2*j + 4*n + 6 = 66, j - b = 2*n. What is the remainder when j is divided by 11?
9
Let j = 15 - 0. Suppose -129 = -2*u + 5*a - 2*a, 4*a + 20 = 0. Calculate the remainder when u is divided by j.
12
Suppose 4*i + 47 = -j + 2*j, 0 = -5*j + i + 140. Let h = 12 + -10. Suppose -3*p + 4*u = -29, 4*p = h*p - u + 12. What is the remainder when j is divided by p?
6
What is the remainder when 72 is divided by 20 + (-1 - (1 + 3))?
12
Suppose -5*o + o + 116 = 5*y, 2*o = 4*y - 72. What is the remainder when 98 is divided by y?
18
Let q(h) = h**2 + 3*h - 9. What is the remainder when q(-8) is divided by 16?
15
Let g(d) = d**3 + 3*d**2 - 8*d - 10. Let q(l) = l**2 + 2*l - 4. What is the remainder when q(3) is divided by g(-4)?
5
Let t be (4 - 1)*10/6. Suppose 2*x = t*x. Suppose -3*s - 1 + 46 = x. What is the remainder when 43 is divided by s?
13
Suppose 4*r = 4*y - 160, 2*y - r - 60 = -4*r. What is the remainder when y is divided by 76/2*3/6?
17
Suppose 0 = 9*x - 14*x + 195. Calculate the remainder when x is divided by 9.
3
Suppose 4*k + 0*k = 0. Suppose -2*f + 2 = -z - f, 5*f - 20 = k. Suppose 21 = y + z*y. What is the remainder when 20 is divided by y?
6
Suppose -91 = -4*o + 117. Calculate the remainder when o is divided by 27.
25
Suppose 0*t + 2*t = -2*y, 4 = -4*t - 5*y. Suppose -t*g - 3*a + 97 = 0, -3*a - 155 = -3*g - 2*g. Calculate the remainder when g is divided by 1 + 15 + 2/(-2).
13
Suppose 0*d - 5*z = 3*d - 64, -2*z = 4*d - 90. Suppose -6*j + 2*j + 3*b = -174, -5*b + 10 = 0. Calculate the remainder when j is divided by d.
22
Let x = -38 + 79. Suppose 2*g - 17 = 11. What is the remainder when x is divided by g?
13
Let z = -15 - -37. Calculate the remainder when 43 is divided by z.
21
Let g(j) = -j**3 - 10*j**2 - 10*j + 3. Suppose -7*v + 6 = -4*v. Suppose 8 + 10 = -v*z. Calculate the remainder when 23 is divided by g(z).
11
Suppose -j = 5*o - 24, 5*o + 3*j = 17 + 15. Suppose 50 = o*n + n. Let f(g) = -g**3 - 3*g**2 + 3*g + 3. What is the remainder when f(-5) is divided by n?
8
What is the remainder when 59 is divided by (6 + -7)*(-1 + -19)?
19
Suppose 4 = -5*w + 3*w. Let v(c) = -c**3 - 2*c**2 - 2*c - 2. Let s be v(w). Calculate the remainder when 942/30 + s/(-5) is divided by 16.
15
Let c = -54 + 75. What is the remainder when c is divided by 6?
3
Let p(q) = -5*q**3 - 2*q**2 - 2*q - 3. Suppose -50 = -5*o - 5*i, 4*o + 5*i = 2*i + 37. Calculate the remainder when p(-2) is divided by o.
5
Suppose -3*h + 105 = -18. Suppose -5*v - 5*g = -3*g - 30, 2*v = 5*g + h. What is the remainder when 31 is divided by v?
7
Suppose l - 25 = -a, -4*l + 15 = 3*a - 82. Suppose -2*g = -g - l. Calculate the remainder when 64 is divided by g.
20
Let p(a) = 16*a. What is the remainder when p(1) is divided by ((-6)/8)/((-23)/(-8) + -3)?
4
Suppose 11*j = -22 + 121. Calculate the remainder when 44 is divided by j.
8
Suppose 4*p = -j + 85 - 0, 4*j - 5*p - 256 = 0. Let o = -40 + j. Suppose 0 = -4*v + 2*i + 48, 5*i + 5 + 5 = -v. Calculate the remainder when o is divided by v.
9
Let i(c) = 7*c - 11. Suppose 0 = -2*x - z + 48, 0 = -x + 4*z - 0*z + 15. What is the remainder when i(11) is divided by x?
20
Let i = -15 + 35. Calculate the remainder when 6 is divided by 6/(-27) + i/9.
0
Suppose 0 = -k - 2*k + 9. Let b = k - -10. Suppose 30 - 10 = 3*t + x, -5*t - 2*x = -32. Calculate the remainder when b is divided by t.
5
Let j be (3 + -2)/(-1 + 2). Let s(w) = 5*w - 1. Let v be s(j). What is the remainder when (-105)/(-4) - v/16 is divided by 9?
8
Let v(b) = -b**2 - 18*b - 19. What is the remainder when 36 is divided by v(-16)?
10
Let a = 7 + -4. Let v = 69 + -67. Calculate the remainder when a is divided by v.
1
Suppose 4*t - 30 = -5*h, 8*t - 35 = -5*h + 3*t. Suppose 0 = h*s - 0 - 18. Calculate the remainder when 17 is divided by s.
8
Suppose -3 = -c - 1. Suppose c*i = 5*m + 37, 3*i - 113 = -5*m + m. Calculate the remainder when i is divided by 8.
7
Suppose -4*f + f + 186 = 0. Calculate the remainder when f is divided by 21.
20
Let r be 0 - (-1 - 70 - -2). Suppose -5*m - 4*w = r, -3*m = w - 2*w + 38. What is the remainder when 13*1*(-10 - m) is divided by 20?
19
Let z = 30 + -3. Suppose 2*m - 4*m = -8. Suppose m*a = -3*o + 41, -2*a + o = -4*a + 23. What is the remainder when z is divided by a?
13
Suppose 0*k - 4*k + 218 = 2*z, -5*z + 5*k + 470 = 0. What is the remainder when z is divided by 20?
19
Let f(t) = -3*t - 6. Let u(n) = 72*n**3 + 2*n**2 + 2*n + 1. Let l be u(-1). Let g = l + 124. What is the remainder when g is divided by f(-8)?
17
Let k be 1/(6/(-9) - -1). Let r = k - -4. What is the remainder when r is divided by 3?
1
Let j = 109 + -93. Suppose 0 = i + 3*i + 2*g - 26, 5*g + 13 = 3*i. What is the remainder when j is divided by i?
4
Let f(n) = -82*n**2 + 3*n + 2. Let w be f(-1). Let l = w + 146. What is the remainder when l is divided by 17?
12
What is the remainder when 16/(-10)*90/(-4) is divided by 17?
2
Suppose 0 = -3*t, 0*f - 2 = -f + 3*t. Calculate the remainder when 7 is divided by f.
1
Let f(p) = p**3 - 7*p**2 - 5*p - 17. Suppose 2*u + 22 = -4*z, 0*u = -4*u - z - 16. Let c = u - -7. Calculate the remainder when f(8) is divided by c.
3
Suppose -f = 4*p - 1, -8*f - 5*p - 41 = -10*f. Suppose -12 = -0*c + 4*c, -4*k = -3*c - 205. Calculate the remainder when k is divided by f.
10
Let d(y) = 3*y**2 + 4*y - 6. Calculate the remainder when d(-5) is divided by 26.
23
Suppose 5*j + 10 = 7*j. Suppose -j*n = -n - 120. Calculate the remainder when n is divided by 11.
8
Let n = 17 - 13. Let l = n - -17. What is the remainder when l is divided by 12?
9
Let z(w) = 6*w + 11. Let a be (-3)/9*3*-7. Calculate the remainder when z(a) is divided by 28.
25
Suppose -3*w + 31 = w - g, -2*w + 19 = 3*g. Calculate the remainder when 13 is divided by w.
5
Let p be (-1)/2 + (-28)/(-8). Suppose -2*c = -7*i + 2*i + 40, p*c - 9 = -4*i. Calculate the remainder when 22 is divided by i.
4
Let d(w) = -w + 2. Let a be d(5). Let f(j) = -j - 3. Let n(p) = -3. Let z(b) = 5*f(b) - 4*n(b). What is the remainder when 47 is divided by z(a)?
11
Let m = -10 + 7. Calculate the remainder when 53 is divided by (-7)/(28/(-32)) - m.
9
Suppose -2*x - 3*x - 5*d + 10 = 0, 0 = 2*x - 5*d - 4. Suppose -5*v - 3 = -18. Calculate the remainder when v is divided by x.
1
Let g(h) be the first derivative of h**4/4 - 7*h**3/3 + 5*h**2/2 - 9*h - 2