 -4*b = 3*x + 20, -2*x + 3*x - 2 = 3*b. What is the remainder when b - (5 - 3 - 17) is divided by 7?
6
Let q(s) = -3*s - 13. Let l = 8 + -17. What is the remainder when 53 is divided by q(l)?
11
Suppose 0 = -m - 5*z + 6 + 12, -43 = -2*m - 3*z. Let f = -1 + 3. Suppose -f*x - 12 = -3*x. What is the remainder when m is divided by x?
11
Suppose 5 - 26 = -3*u. Suppose -23 - u = -3*a. What is the remainder when a is divided by 6?
4
Suppose 3*d - 5 = 1. Suppose 4*i = 2*i + 2. Calculate the remainder when d is divided by i.
0
Suppose -5*z + 35 = -35. Suppose -8*i + 7*i = -24. Let y = -19 + i. Calculate the remainder when z is divided by y.
4
Let l(f) be the second derivative of -f**3/2 + f**2/2 - 2*f. What is the remainder when l(-4) is divided by 7?
6
Let m(f) = 12*f**3 - 2*f**2 + f. Let t be m(1). Let a = t + -4. Let x(s) = -s**3 - 11*s**2 - 9*s + 14. Calculate the remainder when a is divided by x(-10).
3
Suppose 4*a - 3*g - 51 = -2*g, 14 = a + g. Let j = a - -4. What is the remainder when 33 is divided by j?
16
Let f(w) = -2*w**2 - 6*w + 1. Let n be f(-5). Let b = -4 - n. Let a = 6 + 2. What is the remainder when b is divided by a?
7
Suppose 2*k - 48 = -2*o, -k - 72 = -o - 2*o. Suppose 0 = -0*u - 4*u + 52. Suppose 2*j - j = u. What is the remainder when o is divided by j?
11
Let i = 240 + -238. Let w = 11 - 6. Calculate the remainder when w is divided by i.
1
Suppose 0 = -2*f, 2*p + 4*f - 15 = -3*p. Suppose 84 = 4*m - 8*m. Let d = m - -23. What is the remainder when p is divided by d?
1
Suppose -7 = -2*s + 73. What is the remainder when 159 is divided by s?
39
Let w be (58/2)/(-7 - -6). Let u = -17 - w. What is the remainder when 21 is divided by u?
9
Let i be 5/(-15) - 20/(-6). Let z be (1 - i)/((-4)/2). Calculate the remainder when 0/(-2) - -7*z is divided by 3.
1
Let a = -17 + 23. Suppose -u = 4*h - 105, 0 = 2*h - a*h + 3*u + 101. What is the remainder when 102 is divided by h?
24
Suppose -2*p = -3*v - v + 32, 4*p = 16. What is the remainder when v is divided by 3/((-9)/3) - -4?
1
Let a = -5 - -3. Let c = 2 - a. What is the remainder when c is divided by 2?
0
Let b(k) = 4*k**2 - 2*k - 4. Let l be (0 - 1)*(-1 + -35). Suppose -6*p = -2*p - l. Calculate the remainder when b(3) is divided by p.
8
Let k = 313 + -161. Suppose k = -q + 5*q. Calculate the remainder when q is divided by 20.
18
Let b(i) = -6*i + 12. What is the remainder when b(-9) is divided by 17?
15
Let y(v) = 9*v**2 - 2*v + 1. Suppose 0 = 2*u - 7*u + 25. Suppose 3*j = 2*h - 17 - 23, u*j = 2*h - 48. What is the remainder when y(-2) is divided by h?
13
Let b(r) = r**3 - 9*r**2 + 11*r - 9. Calculate the remainder when 44 is divided by b(8).
14
Suppose -5*q + 15 = 5. Suppose 3*h - 4*t = 105, -q*h = 3*h + 4*t - 175. Calculate the remainder when h is divided by (-3)/(-7) + 123/7.
17
Suppose 8 = 4*w, -2*v - 2*w + 64 = -0*w. Let d(a) = 3*a**2 + a - 11*a - 4*a**2 - 1. Calculate the remainder when v is divided by d(-9).
6
Let f(v) = -v**2 - 6*v + 11. Let s be f(-8). Let c = 17 + s. Suppose 3*t = -t + 28. Calculate the remainder when c is divided by t.
5
Let v = -39 + 67. What is the remainder when 139 is divided by v?
27
Suppose -4*c - m + 56 = m, -c - m + 15 = 0. Calculate the remainder when c is divided by 5.
3
Let o(z) = -z**3 - 3*z**2 + 8*z - 3. What is the remainder when 27 is divided by o(-5)?
6
Suppose 2*y + 5*l - 155 = -0*y, -2*l - 64 = -y. Calculate the remainder when y is divided by 24.
22
Suppose -24 - 11 = -5*r. Let h(s) = 2*s - 1. Calculate the remainder when r is divided by h(3).
2
Suppose j + 5*l = 2*l + 46, 5*j - 176 = 3*l. What is the remainder when j is divided by 8?
5
Suppose 5*b + x + 0*x - 65 = 0, b - 2*x - 2 = 0. Suppose 39 + b = 3*o. Let c = o + -9. Calculate the remainder when 22 is divided by c.
6
What is the remainder when ((-34)/(-8) + (-15)/(-10))*4 is divided by 8?
7
Suppose 1 + 14 = -3*u. Let k = 31 + u. What is the remainder when k is divided by 14?
12
What is the remainder when (1 - (1 - -2)) + 10 is divided by 6?
2
Suppose 2*t - 4*p - 56 = 0, 3*p - 16 + 69 = 2*t. Calculate the remainder when 85 is divided by t.
19
Let c(p) = p**3 + p**2 + p + 11. Let v(x) = 9*x**3 + x**2 + x + 1. Let b be v(-1). Let g = 12 - b. Calculate the remainder when g is divided by c(0).
9
Let j = -19 + 29. What is the remainder when j is divided by 4?
2
What is the remainder when 1/(-1) - (-32 - 2) is divided by 12?
9
Let k = 5 + -5. Suppose k = -2*l - 0*l. Suppose -p + 4*g - 9 = 0, 4*p + 0*g - 4*g - 12 = l. What is the remainder when 12 is divided by p?
5
Suppose 4*k = -2*b + 38, -5*b + 4*k - 7*k = -88. Calculate the remainder when b is divided by 6.
5
Let t be 0/(-3) - (-2 + 4). Let u be t/(4/(-26)) + -1. Suppose -148 = -4*l - u. Calculate the remainder when l is divided by 12.
10
Calculate the remainder when 4/(-3)*5*(-918)/85 is divided by 15.
12
Suppose 2*j - 3*i = -2*i + 34, 41 = 3*j + i. Let c = j + -2. Calculate the remainder when 24 is divided by c.
11
Let s = 8 - -8. What is the remainder when s is divided by 40/6 + (-4)/6?
4
Let s(z) = z**2 - 2*z + 1. Let u be s(3). Suppose u*v = v. Suppose m = 58 - v. What is the remainder when m is divided by 20?
18
Suppose -3*q = s - 6*s + 302, 2*q + 208 = 2*s. Let t = -35 - q. What is the remainder when t is divided by 19?
17
Let h be 4/(3/(-246)*4). Let m = 12 - -9. What is the remainder when -1*h/(2/1) is divided by m?
20
Let v = -86 + 120. Calculate the remainder when 133 is divided by v.
31
Calculate the remainder when 13 + -4 - 4/2 is divided by 3.
1
Let n(c) = c**2 + 4*c + 2. Let b = 17 + -13. Calculate the remainder when n(-6) is divided by b.
2
Let g(p) = p**2 + 2*p - 4. What is the remainder when 56 is divided by g(-6)?
16
Suppose -2*c + 45 = u - 138, -5*c + u + 447 = 0. What is the remainder when c is divided by 23?
21
Let n(z) = -2*z**2 - 1 + 2*z + 4*z**2 - 3*z. What is the remainder when 27 is divided by n(3)?
13
Let m(y) = 2*y**3 + 2*y. Let r be m(2). Suppose 0 = h + 2*n - r, -h = 5*n - 26 + 9. What is the remainder when 65 is divided by h?
21
Suppose 14 = -4*u - d - 8, 8 = -u + d. What is the remainder when 35 is divided by ((-152)/12)/(u/9)?
16
Suppose 0*g - 50 = -2*g. Let u = g - 14. Suppose c + 5*o - u = 0, -12 = -2*c - 5*o + 10. Calculate the remainder when c is divided by 4.
3
Let n(i) = 0*i + 5 + 0 - i + 2*i. Let d be n(0). Suppose k - 26 = -3*u + 17, d*u = -5*k + 75. Calculate the remainder when 27 is divided by u.
13
Suppose 6*l - 2*l = 88. What is the remainder when 86 is divided by l?
20
Let s(l) = -l**3 + 5*l**2 + 17*l. What is the remainder when 62 is divided by s(7)?
20
Suppose 2*q + 2 = 3*q. Calculate the remainder when 5 is divided by q.
1
Suppose 0 = 3*n - 12, -3*l - 5*n = -77 + 15. Calculate the remainder when 39 is divided by l.
11
Let o(a) = a**3 + 3*a**2 - 7*a - 5. What is the remainder when 11 is divided by o(-4)?
4
Let l = 12 + -7. Suppose 5*m = 0, l*n = -2*m + 29 + 41. Let a = 16 - 8. What is the remainder when n is divided by a?
6
Let y = 9 + -5. Suppose -3*n - 4*q + 186 = 41, 0 = -y*n - 5*q + 192. What is the remainder when n is divided by 15?
13
Suppose -5*q - 3*n + 170 = 0, -n + 14 = 4*q - 115. Let j be q - (-2 + -2 + 2). Suppose -4*g + j = 1. What is the remainder when 23 is divided by g?
7
Suppose -b + 3 + 19 = 0. Calculate the remainder when b is divided by 12.
10
Let m(y) = y**3 + 12*y**2 - 3*y - 16. What is the remainder when 58 is divided by m(-12)?
18
Let b(z) = -z**3 + z**2 + z + 4. Suppose 3*f + 2*f - 2*o = 4, 10 = 3*f - 5*o. Calculate the remainder when 5 is divided by b(f).
1
Let d = -33 + 56. Let v = 44 + -31. What is the remainder when d is divided by v?
10
Suppose -5*i + u + 31 = -2*i, -4*i = -5*u - 23. Calculate the remainder when 55 is divided by i.
7
Suppose 5*b - 49 = 3*l, 2*b - 4*l + 52 = 6*b. Calculate the remainder when b is divided by (-7)/2*(1 + -3).
4
Let g(h) = 3*h**3 + 2*h**2 - 2*h + 1. Let t be g(1). What is the remainder when ((-8)/10)/(t/(-110)) is divided by 12?
10
Let i(g) = g**3 - 8*g**2 + 6*g + 7. Let p be i(7). Suppose 2*l = 4*b - p*l - 30, -l = 5. What is the remainder when (-108)/(-14) + 6/21 is divided by b?
3
Suppose -z - 4*u - 19 = 0, 7*z = 4*z - 4*u - 17. Let y = z + 6. Calculate the remainder when y is divided by 4.
3
Let x(z) = z**3 + 3*z**2 - 4*z + 1. 