 + 4*n**2 - 3. Let a be p(3). Suppose 4*s - 8 = 0, -r - s + a = -31. What is the remainder when r is divided by 12?
11
What is the remainder when 42 is divided by (-297)/(-22)*(-2 + 8/3)?
6
Let a(s) = -s**3 - 9*s**2 + s + 13. Let g be a(-9). Suppose -3*q + 43 = -g*v - 0*v, v + 14 = q. Calculate the remainder when 37 is divided by q.
11
Let l = -60 + 126. Suppose 3*k = -0*k + l. What is the remainder when k is divided by 12?
10
Suppose 0 = 2*r - r - 5. Let x = 5 - 5. Let s = x + 13. Calculate the remainder when s is divided by r.
3
Let w(a) = a + 4. Let p(o) = 4*o + 9. Let i = -10 + 14. Calculate the remainder when p(i) is divided by w(3).
4
Calculate the remainder when 25 is divided by (11/(-22))/((-1)/28).
11
Suppose 3*o = -53 + 218. Let m = 34 - o. Let u = -14 - m. What is the remainder when 20 is divided by u?
6
Let h be ((-128)/(-20))/((-1)/(-5)). Suppose -h = p - 2*p. What is the remainder when p is divided by 17?
15
Let o(k) be the second derivative of -k**5/20 - k**4/4 + 5*k**3/6 + 3*k**2 + k. Let z be o(-4). Calculate the remainder when 1 is divided by (-3)/(-6)*1*z.
0
Suppose 2*p - 140 = -4*t, -5*p + 99 = 4*t - 251. Let o = p - 48. Suppose -q = -4*u + 2 - 45, -4*q + 172 = -2*u. Calculate the remainder when q is divided by o.
21
Suppose -3*z - 4*p = -70, -2*p + 4*p - 62 = -3*z. Calculate the remainder when 4 + 281/6 - 3/(-18) is divided by z.
15
Suppose -4*y + 144 + 12 = 0. Suppose 0*w + y = -w. Calculate the remainder when w/(-3) + 0 - 0 is divided by 7.
6
Let z = -11 - -27. Suppose 0 = -f - 2*i + 4 + 6, -5*f = 5*i - 35. Suppose v + 0*v - 227 = -5*b, 4*b = f*v + 196. Calculate the remainder when b is divided by z.
14
Let q be 100/3*(-12)/(-5). Let t = 118 - q. What is the remainder when t is divided by 10?
8
Let b(i) = i**3 - 3*i**2 - 4*i + 4. Calculate the remainder when b(4) is divided by 3.
1
Let t(o) = -o**2 - 3*o - 2. Let y be t(-2). Suppose y*k = 3*k - 15. Suppose -4 = -k*a + 3*a. What is the remainder when a is divided by 2?
0
Let h(s) = s**2 - 8*s - 2. Let x = 29 + -20. Let z be h(x). Let y = 14 - z. Calculate the remainder when 19 is divided by y.
5
Suppose 4*p = -0*p + 88. What is the remainder when 42 is divided by p?
20
Let g = 70 + -65. What is the remainder when 21 is divided by g?
1
Let c(j) = j**3 - 8*j**2 + 5*j - 11. Suppose -2*r + 8*r = 60. What is the remainder when c(8) is divided by r?
9
Let j be (1*-1)/((-9)/117). Suppose 2*m + j = -15. Let k = -7 - m. What is the remainder when k is divided by 5?
2
Let d(y) = 5*y**2 + 9*y + 1. What is the remainder when 74 is divided by d(-3)?
17
Let m(i) = -i + 8. Let x be m(6). Suppose t = r + 5, 5*t - r = x*r + 31. What is the remainder when t is divided by 3?
2
Calculate the remainder when (-1)/(-2)*(10 - 8) - -87 is divided by 45.
43
Let j(a) = a**2 - 3*a - 3. Let q be j(-2). Suppose -q = -p - 3. Calculate the remainder when 11 is divided by p.
3
Let c(j) = j**2 - 2*j + 4 - 2 - 2 + 1. Let k be c(-2). What is the remainder when 38 is divided by 1 + (k - (0 - 0))?
8
Let q = -2 - -4. Suppose 0 = -t - 3*t - 4*z + 32, t + q*z = 13. Calculate the remainder when t is divided by 3.
0
Let w = 16 - 10. Let b be (-3)/w - 83/(-2). Suppose -4*x + b = -3. Calculate the remainder when x is divided by 6.
5
Suppose 8*q + v = 3*q + 40, 3*q = 3*v + 6. What is the remainder when 20 is divided by q?
6
Let f(c) = -28*c - 2. Let a be f(-2). Suppose 4*d + 0*n - a = -n, 3*d + 2*n - 38 = 0. Calculate the remainder when 54 is divided by d.
12
Let k(m) = -3*m - 30. Calculate the remainder when 31 is divided by k(-14).
7
Let l(w) = -w**3 - 5*w**2 - 2*w + 2. Let a be l(-5). Suppose 4*b - b = -a, -49 = -3*x + b. Let m = -13 - -21. Calculate the remainder when x is divided by m.
7
Let x(r) = 2*r**3 - 3*r**2 - 2. Let p be x(3). Let i = p + -6. Suppose 12 + 8 = 2*k. Calculate the remainder when i is divided by k.
9
Suppose 4 + 20 = 4*g. Let l(q) = q**3 - 6*q**2. Let c be l(6). Suppose c = -2*w - 10 + 30. Calculate the remainder when w is divided by g.
4
Suppose -12 = -48*h + 46*h. Calculate the remainder when h is divided by 1.
0
Let o(f) = -f**2 - 7*f + 1. Let w be o(-6). Suppose 0 = x - w + 41. Let y = -13 - x. Calculate the remainder when y is divided by 11.
10
Let i(n) = n**2 + 10*n - 2 - 7 - 2*n**2. Calculate the remainder when 20 is divided by i(8).
6
Let x be 20*-2*(-9)/12. Let s = x + 14. Suppose 0*k - s = -4*k. Calculate the remainder when 32 is divided by k.
10
Let n(c) = 3*c**2 + c. Let j be n(1). Suppose -52 = -5*d - h, d + 36 = j*d - h. Let y = 8 + 24. What is the remainder when y is divided by d?
10
Let t(n) = n**3 - 8*n**2 + n - 5. Suppose -5*i + 0*i = -25. What is the remainder when i is divided by t(8)?
2
Let l(w) = -6*w. Let z = 2 - 3. Let c be l(z). Let t(k) = k**3 - 6*k**2 + k - 4. Calculate the remainder when 5 is divided by t(c).
1
Suppose o + 5*u - 2*u = 8, 0 = -3*u. What is the remainder when o is divided by 5?
3
Let v(z) = z**3 - 7*z**2 + 1. Let p be v(7). Let g = 15 - p. Calculate the remainder when 27 is divided by g.
13
Let l = -2 - -1. Let a(n) = -17*n**3 + n. Calculate the remainder when 46 is divided by a(l).
14
Suppose -k = k - 6. Calculate the remainder when 30 is divided by -24*-1*k/9.
6
Let h = 21 - 13. What is the remainder when 13 is divided by h?
5
Let o be (0 - 6)/(-3) + 77. Suppose 5*z + 4*h - 108 = h, 4*z - 5*h - o = 0. Calculate the remainder when z is divided by 12.
9
Suppose 4*w - 2*w - 76 = 0. Let q(o) = -37*o - 1. Let a be q(-1). Suppose -10 + a = 2*g. Calculate the remainder when w is divided by g.
12
Let d(x) be the first derivative of -x**2/2 + 12*x - 1. Let q(s) = s**3 - 6*s**2 + 4*s - 7. Calculate the remainder when q(6) is divided by d(6).
5
Suppose 4*l = 2*l + 24. Let q(x) be the second derivative of -x**4/12 + 2*x**3 - x**2/2 - x. Calculate the remainder when q(6) is divided by l.
11
Let d = -42 + 54. Suppose 0*b = 4*m - 2*b - 84, -3*b = -6. What is the remainder when m is divided by d?
10
Let u be (7 - 1)/(1 - -1). Suppose -k - 1 = 0, u*w - 3*k + 9 = 39. What is the remainder when 17 is divided by w?
8
Suppose -2*b - 2*b = 4. Let n be b - 0 - (0 - 4). Suppose -n*i = 2*k + i - 78, 0 = 4*k + 2*i - 126. What is the remainder when k is divided by 15?
14
Suppose -162 = -2*m - 62. Suppose -4*p + m = p. Calculate the remainder when 29 is divided by p.
9
Let q(j) = -j**2 - 2 - 10*j + 1 - 3 - 1. What is the remainder when 30 is divided by q(-8)?
8
Let j = -19 - -37. Suppose 0 = 4*w - 62 - 54. Let y = w - j. What is the remainder when y is divided by 4?
3
Let s(c) = 12*c**2 + 2*c - 1. Suppose 0 = 5*p - 9 - 26. Suppose 3*v = p - 4. What is the remainder when s(v) is divided by 5?
3
Let o(b) = -32*b. Suppose 12 = -3*q + q + 2*i, -2*i + 10 = 0. Suppose 3*a - 55 = -2*a. What is the remainder when o(q) is divided by a?
10
Let v(a) be the second derivative of a**4/6 + 2*a**3/3 + 3*a**2/2 - 3*a. What is the remainder when 32 is divided by v(-3)?
5
Let k(t) = -t**3 + 6*t**2 + 11*t - 29. What is the remainder when k(6) is divided by 10?
7
Let l = 46 + -26. Let b = 18 + -14. Suppose h - 146 = -5*k + 49, -b*h = -k + 39. Calculate the remainder when k is divided by l.
19
Suppose -4*l + 22 = -14. Let i(x) = x**3 + x + 19. Let v be i(0). Let w = v - 3. Calculate the remainder when w is divided by l.
7
Let z(d) = 2*d + 11. Let n be z(-5). Suppose n + 50 = 3*f. What is the remainder when f is divided by 6?
5
Calculate the remainder when 32 is divided by ((-14)/(-1) + -3)/(0 + 1).
10
Calculate the remainder when (261/(-6))/(-3)*2 is divided by 6.
5
Suppose 36 = 4*s - 252. What is the remainder when s is divided by 19?
15
Let n(w) = -w**3 + w**2 + 9. What is the remainder when 16 is divided by n(0)?
7
Let q = -6 - -9. Calculate the remainder when 11 is divided by q.
2
Suppose 14*w = 18*w - 104. Let m(h) = -h + 1. Let t be m(-1). Suppose 2*n = -4*d + t, -6*n + n + 4*d + 61 = 0. Calculate the remainder when w is divided by n.
8
Let r(p) = 8*p**2 + 2*p - 1. Let t be r(1). Let z = 6 - t. What is the remainder when (0 + 1)/(z/(-78)) is divided by 14?
12
Let h = 8 - 6. Suppose -5*i + 64 + 46 = 0. Suppose 2*l - 5*m = -3 + i, 5 = 4*l + m. Calculate the remainder when l is divided by h.
0
Let j(g) be the first derivative of 2*g**3/3 + 13*g**2/2 - 3*g - 13. Calculate the remainder when