).
22
Suppose 0 = -a - 13 - 3. Let v = a + 32. Calculate the remainder when v is divided by 9.
7
Let t = -53 - -36. What is the remainder when (3 - 4)*t*2 is divided by 18?
16
Suppose 3*a = 3*g - 30, 2*a + 10 = a + 4*g. What is the remainder when a/(-3) - (-10)/15 is divided by 2?
0
Suppose 2*g - 18 = 16. Calculate the remainder when 64 is divided by g.
13
Suppose 2*w - 33 - 13 = 0. Suppose 0 = -5*d + 35 - 5. What is the remainder when w is divided by (-22)/(-3) + d/9?
7
Suppose -71*z = -70*z - 18. What is the remainder when 51 is divided by z?
15
Suppose 5*g - 15 - 330 = 0. What is the remainder when g is divided by 24?
21
Let n(v) be the second derivative of v**4/12 + 5*v**3/6 + 5*v**2 - v. Suppose 2*p = 18 + 6. What is the remainder when n(-8) is divided by p?
10
Let i = -64 + 76. Calculate the remainder when 58 is divided by i.
10
Let a(c) = -10*c + 55. Suppose d + 19 = 2*d. Calculate the remainder when d is divided by a(5).
4
Suppose 0 = -4*z + 2*z. Suppose -3*a + 6*a - 87 = z. Calculate the remainder when a is divided by 15.
14
Suppose w - 77 = -3*z, -3*z + 101 - 21 = -2*w. Let m be (12/(-15))/((-2)/5). What is the remainder when z is divided by (m + 2)/((-4)/(-14))?
12
Suppose 3*q = 93 + 45. Calculate the remainder when q is divided by 16.
14
Let f(m) = -2*m**3 - 8*m**2 - 3*m. Let q be f(-5). Suppose 0 = 7*y - 3*y - 3*n - 59, 5*y + 5*n - q = 0. Calculate the remainder when y is divided by 5.
4
Suppose -o - 6 = -10. Calculate the remainder when 19 is divided by o.
3
Suppose 2 = 2*h - 0*h, -5*h = 3*m + 10. Let z = m + 9. Let y(w) = -w**2 - 7*w - 5. What is the remainder when y(-4) is divided by z?
3
Let q(a) = a**3 + 8*a**2 + 3*a - 11. Suppose 2*s = 4*s + 24. Let t = -3 - s. Calculate the remainder when q(-7) is divided by t.
8
Suppose 2*q + 2*q - 4*o - 20 = 0, -q = 5*o - 35. Let m(x) = 5*x**2 + 1. Let s be m(3). Let j = -27 + s. Calculate the remainder when j is divided by q.
9
Suppose 0 = -3*b - 14 + 26. What is the remainder when 15 is divided by b?
3
Let j be (-6 + 2)*54/(-8). Let x be -9*3/(j/(-12)). Suppose 0 = -2*g + 5*i + 5 - 4, -3*g + x = -4*i. Calculate the remainder when 15 is divided by g.
7
Suppose j + 0*j = 8. Let r(i) = -7*i + 2. What is the remainder when r(-4) is divided by j?
6
Suppose 0*q = -q + 8. Suppose 4*b = 3*a + 89, 4*b - 63 = -3*a + q. Calculate the remainder when ((-12)/(-30))/(2/b) is divided by 2.
0
Let y = -28 + 37. Calculate the remainder when 70 is divided by y.
7
Suppose -144 = 14*g - 18*g - 5*f, -36 = -g + 3*f. What is the remainder when g is divided by 13?
10
Let k(y) = -25*y. Let d be k(1). Let x = 3 - d. Let s = -17 + x. Calculate the remainder when 20 is divided by s.
9
Suppose 0 = l + 4, -5*o + 5*l = 62 + 63. Let m = -15 - o. Let j = 95 + -54. What is the remainder when j is divided by m?
13
Let y(a) = a**3 - 11*a**2 - 11*a + 13. What is the remainder when 48 is divided by y(12)?
23
Suppose -2 = -4*s + 6, -2*h + s + 28 = 0. Suppose -2*n - 57 = -r - 0*n, -4*n - 57 = -r. Calculate the remainder when r is divided by h.
12
Let p(m) = 7*m - 6. Let s be p(6). Let q = 59 - s. What is the remainder when q is divided by 12?
11
Let y = 4 - -27. Calculate the remainder when y is divided by 7.
3
Let j(x) = x**3 - 3*x**2 - x + 7. Let l be j(3). Suppose -11 = -l*s + 1. Calculate the remainder when s is divided by 2.
1
Suppose 27 = 2*m - m. Let q = -13 + m. What is the remainder when 27 is divided by q?
13
Let m(j) = 27*j**2 + 2*j - 2. What is the remainder when m(-2) is divided by 35?
32
Let m(o) = 18*o**3 + 2*o - 1. Suppose -2*c = -7*c + 55. What is the remainder when m(1) is divided by c?
8
Let o(b) = b**3 + 2*b**2 - 4*b + 1. Suppose -l - 122 = 3*l + 2*k, -2*l - 5*k = 73. Let a = -19 - l. Calculate the remainder when a is divided by o(-3).
2
Suppose -328 = -6*g - 22. Calculate the remainder when g is divided by 13.
12
Suppose -4*l + 204 = 4*v, 5*v - 141 - 114 = -2*l. Calculate the remainder when v is divided by 3/2*(-26)/(-3).
12
Let d(o) = o**3 + 3*o**2 - 6*o - 5. Let v(b) = -b - 4. Let q be v(0). Let y be d(q). Suppose 0 = y*k - 5*k + 30. What is the remainder when k is divided by 9?
6
Suppose 4*u = 7*u - 24. Suppose -5*q = -7 - 8. Suppose -q = 2*b - 3*b. Calculate the remainder when u is divided by b.
2
Let o be -2*(-4)/8 + 15. Calculate the remainder when 350/8 - (-4)/o is divided by 12.
8
Let j = 80 + -35. Calculate the remainder when j is divided by 8.
5
Let l(q) = q**2 - 19. What is the remainder when l(8) is divided by 23?
22
Let l(s) = -9*s**3 - 3*s**2 - 5*s. Calculate the remainder when l(-2) is divided by 18.
16
Suppose y = -2*q + 6 + 23, 5*y + 59 = 2*q. Calculate the remainder when 50 is divided by q.
16
Calculate the remainder when (1*-3)/((-1 - -6)/(-45)) is divided by 14.
13
Suppose -t + 2*t - 2*l = 0, -8 = -2*l. Let w be (6/t)/((-8)/32). Let v = w - -5. Calculate the remainder when 5 is divided by v.
1
Suppose -2*r + 3*r + j = -29, 0 = 4*r + j + 122. Let c = 22 + r. What is the remainder when 11 is divided by (c/(-12))/(2/16)?
5
What is the remainder when 425/10 - 3/6 is divided by 22?
20
Let c be 5 + -11 + 8/2. Let a = 4 - c. Calculate the remainder when 16 is divided by a.
4
What is the remainder when 64/20*(-5)/(-2) is divided by 2?
0
Suppose -3*b + 0*b = -24. Suppose -2*k + 0*k + b = 0. Let f = 8 - 5. Calculate the remainder when k is divided by f.
1
Let t(l) = -l - 19. Let u be t(-6). Let i = u - -15. Calculate the remainder when i is divided by 2.
0
Suppose -3*l + 19 + 23 = 0. Let g be 59 + -1 - 0/(-2). Let u = g - 18. What is the remainder when u is divided by l?
12
Suppose 16 + 104 = 5*i. Calculate the remainder when i is divided by 5.
4
Calculate the remainder when 28 is divided by 9/6 - (-162)/12.
13
Let q(h) = -h**3 + 0*h - 5*h + 6 - 8*h**2 - 3*h. Let p be q(-6). Let z = p - -41. What is the remainder when 45 is divided by z?
22
Suppose -52 = -4*t + 3*t. Let y(n) = n**3 + 7*n**2 + 7*n + 4. Let c be y(-4). Let h = c - 6. Calculate the remainder when t is divided by h.
16
Suppose s + 1 = 0, -3*s + 1 = -x + 2*x. Let z = 11 + -6. Calculate the remainder when z is divided by x.
1
Let i(m) = -2*m + 19. Let u be i(8). Let r(h) = -10*h - 8. Let k be r(-6). Suppose u*w = w + k. What is the remainder when w is divided by 9?
8
Let c be 1/2 - (-7)/2. Suppose y - c*y = -39. Calculate the remainder when 2/2*(-2 + y) is divided by 6.
5
Let a = 18 - 8. What is the remainder when 25 is divided by a?
5
Suppose -4 = -2*s + 2*y, -4*s - 10 = -8*s + 3*y. Calculate the remainder when 14 is divided by s.
2
Suppose 6 = d - 2*f - 12, 3*d = -2*f + 78. Suppose 41 = 2*k + 3*a - d, -5*a = -k. Calculate the remainder when k is divided by (1 - (1 - 2)) + 7.
7
Suppose 3*s - 298 = -5*u, -2*s - 3*u + 54 + 145 = 0. What is the remainder when s is divided by 26?
23
Let r(k) = -k**3 - k**2 + 1. Suppose v + 0*v = -1. Let h be r(v). What is the remainder when h*2 + 21 + -4 is divided by 5?
4
Let v = 13 - 7. Suppose -5*d + o + 5 + v = 0, -2*d - 10 = -4*o. What is the remainder when 6 is divided by d?
0
Let o = -46 - -62. What is the remainder when 77 is divided by o?
13
Let u(v) = -v - 4. Let p be u(-6). Let h be 10/p + -1*2. Calculate the remainder when -1 + 1/(h/78) is divided by 13.
12
Suppose -p = -14 - 1. Let x = 67 + -39. Calculate the remainder when x is divided by p.
13
Let n(h) = -2*h**3 + h**2 - 1. Let b be n(-1). What is the remainder when (-1)/((b/55)/(-2)) is divided by 19?
17
Suppose -4*d + 12 = 0, -z - 2*d = d - 68. Suppose 2*i + z = -0*i + v, i + 33 = -3*v. Let l = 45 + i. Calculate the remainder when l is divided by 8.
7
Let p(a) = 5*a - 4. Let d(s) = -15*s + 12. Let f(x) = -3*d(x) - 8*p(x). Let b be 1/3*(13 + -1). What is the remainder when f(b) is divided by 6?
4
Suppose 6*w - 130 = w. Suppose 0 = 3*u + 3*u - 54. Calculate the remainder when w is divided by u.
8
Let l(v) = -v**3 - 6*v**2 + 2*v + 6. What is the remainder when l(-7) is divided by 9?
5
Let y(v) = 7*v**2 - 4*v - 3. What is the remainder when 31 is divided by y(-1)?
7
Suppose -8*k + 3*k - 85 = 0. Let y = 30 + k. Calculate the remainder when y is divided by 7.
6
Let c be (-6)/(-21) + 32/(-14). Let j be 1 + (-4)/c + 0. Suppose j*h + l - 139 = 0, -137 = -3*h - 2*l + 3*l. What is the remainder when h is divided by 12?
10
Suppose -4*n + 3*x + 33