12*p - 17. What is the remainder when w(-14) is divided by 5?
1
Let y(a) = -4*a + 4. Let f(k) = -k + 1. Let w(v) = 3*f(v) - y(v). Let g(u) = -u**2 - 5*u + 3. Let n be g(-5). Calculate the remainder when w(n) is divided by 2.
0
Suppose k + 2*k = -4*w + 200, 0 = -4*k - 16. Suppose -3*d = -5*u + w, 0*u + d + 22 = 2*u. What is the remainder when u is divided by 7?
6
Let x(t) = -t**3 + 4*t**2 + 4*t - 6. Let b = 9 + -5. What is the remainder when x(b) is divided by 3?
1
What is the remainder when ((-13)/(-4))/((-11)/(-44)) is divided by 8?
5
Suppose 4*j = 3*j + 5. Let b = 3 + 2. Suppose b*u = h + 66, 0 = -3*h - 2*h - 5. Calculate the remainder when u is divided by j.
3
Suppose 2*p - 10 = 0, 2*s + 2*p - 12 = -2. Suppose -5*g + g + 40 = s. What is the remainder when 36 is divided by g?
6
Suppose -q + 50 = 16. Suppose -2*i + 7*p = 3*p - q, 0 = 5*i + 2*p - 85. Calculate the remainder when 48 is divided by i.
14
Let f(s) = 2*s**2 - 28*s - 21. Calculate the remainder when 1/2*192/4 is divided by f(15).
6
Suppose -4*i - 4*b = -76, -3*b - 110 - 1 = -4*i. Suppose 52 = -s + 5*s. Suppose 0 = -0*v + v - s. Calculate the remainder when i is divided by v.
11
Let t(c) = c**2 + 8*c + 9. Calculate the remainder when 34 is divided by t(-8).
7
Let s(k) = -k**2 + 14*k + 18. Calculate the remainder when s(14) is divided by 7.
4
Suppose 5*v = r + 89, 5*r = -21*v + 17*v + 48. What is the remainder when v is divided by 10 - (0 - 0/2)?
7
Let i be (-5)/(-7) + (-2)/(-7). Let c = i + 2. Suppose 3*t - 4*l - 42 = -2, c*t - 2*l - 32 = 0. Calculate the remainder when 23 is divided by t.
7
Let q = -2 + 15. Let f(s) = 9*s**2 - 2*s - 3. Calculate the remainder when f(-2) is divided by q.
11
Suppose 4*k - 3*m + 0*m = 9, 2*m - 17 = -5*k. Suppose o = k*o + 4. Calculate the remainder when 9 - (o/(-1) + -2) is divided by 5.
4
Let z(l) = -15*l - 9. What is the remainder when z(-7) is divided by 33?
30
Suppose -2*i = 4*a, -9 = -2*i - i - 3*a. Let h(j) = j**3 - 4*j**2 - 6*j - 7. Calculate the remainder when h(i) is divided by 8 + (12/15)/((-4)/(-10)).
9
Let j be (-1 - (-4)/8)*-2. Calculate the remainder when 12/(-4) + j - -64 is divided by 21.
20
Let v = 75 - 58. Let d(t) = -t**3 - 8*t**2 + 10*t + 11. Let j be d(-8). Calculate the remainder when (-2)/1 - (1 + j) is divided by v.
15
Suppose -2*v - 97 + 305 = 4*z, 0 = -4*v - 5*z + 422. What is the remainder when v is divided by 28?
24
Let g(i) = i**2 - 5*i - 7. Let n be g(-5). Let s = -21 + n. Calculate the remainder when 64 is divided by s.
20
Suppose 0 = -3*k + 5*k - 18. Suppose 46 = -7*i + k*i. Suppose -g + 7*c - 4*c = -23, 0 = -3*g - 4*c + 4. Calculate the remainder when i is divided by g.
7
Suppose 144 = 3*a - 36. Suppose 4*z = 2*z + a. Suppose 3*u - 50 = -4*q, z = 2*q - 0*u - u. Calculate the remainder when 55 is divided by q.
13
Suppose -n = n - 14. Let o(z) = 3*z**3 - n - 6*z - 2*z**3 - 3*z**2 - z**2. What is the remainder when o(6) is divided by 15?
14
Suppose -3*a + 162 = -0*a. Calculate the remainder when a is divided by 19.
16
Let u(m) = -m**3 - 2*m**2 + 2. Let l be u(-2). Suppose -2*k = 3*g - 0 - 42, -l*k = -g - 42. What is the remainder when k is divided by (-2 - (-14)/(-4))*-2?
10
Suppose 0 = -6*y + 43 + 5. Let u(k) = 2*k - 6. Let t be u(5). Suppose 4*o + 76 = t*x, 7 = 2*x + 4*o - 7. Calculate the remainder when x is divided by y.
7
Let o = 274 - 127. What is the remainder when o is divided by 15?
12
Let a(x) = -x**2 + x + 5. Let q be a(0). Suppose -q*o + 175 = 20. What is the remainder when o is divided by 11?
9
Let i(j) = -155*j**3 - 2*j**2 - j + 1. What is the remainder when i(-1) is divided by 39?
38
Let t(n) = -3*n - 2. What is the remainder when 50 is divided by t(-5)?
11
Let p = 37 + -23. What is the remainder when p is divided by 7?
0
Let s = 41 - 14. Suppose 0 = -3*g - g + 56. Calculate the remainder when s is divided by g.
13
Suppose 2*l - 7 = 3*y + 6, 5*l = -2*y + 4. What is the remainder when l + 2 + -2 - -20 is divided by 8?
6
Let a(l) = l + 3. Let v be a(-5). What is the remainder when 37 is divided by 21/3 + (1 - v)?
7
Let f = 1 - 11. Calculate the remainder when 4 is divided by (16/20)/((-4)/f).
0
Suppose 11 = -4*s + 5*w, -3*s = -s + 2*w - 8. Let v be (s - 3) + 28/4. Suppose 11 + v = b. Calculate the remainder when b is divided by 9.
7
Let j(l) = 2*l**2 - 10*l + 5. Suppose 0 = 4*y - 24 - 56. What is the remainder when j(7) is divided by 87/5 + (-8)/y?
16
Suppose -6 + 153 = 7*v. Let x = 11 + -3. Calculate the remainder when v is divided by x.
5
Let o(m) = 4*m - 1. Let j be 2/(-6) - (-28)/12. What is the remainder when 25 is divided by o(j)?
4
Let t = -19 - -35. Calculate the remainder when 62 is divided by t.
14
Let f(p) = -p**3 - 9*p**2 - 12*p - 12. What is the remainder when f(-8) is divided by 11?
9
Let u = 3 + -1. Suppose 5*d + f = -f + 7, 0 = 2*d - u*f. Calculate the remainder when 1 is divided by d.
0
Calculate the remainder when ((-4)/(-3))/(32/336) is divided by 5.
4
Suppose -2 = m + 3*y - 12, m + y = 6. Let q = 13 - m. Suppose -n - 2*l = -q, -3*l - 13 = -3*n + 23. Calculate the remainder when n is divided by 4.
3
Suppose 2*q - 3*q + 27 = 0. Suppose -3*t = 2*t + y - 45, -3*t - 5*y + q = 0. Calculate the remainder when 15 is divided by t.
6
Let u(p) = 6*p**2 + 2*p - 1. Calculate the remainder when u(2) is divided by -1*2 - -17 - 0.
12
Let h = 68 + 30. What is the remainder when h is divided by 20?
18
Suppose -4*l - 3 = 5*c - 2*l, -17 = -c + 4*l. What is the remainder when (c + -16)/(3/(-9)) is divided by 12?
9
Suppose -3*n + 45 = -0*a + 3*a, 4*n - 57 = -3*a. Let x = 191 + -132. What is the remainder when x is divided by n?
11
Let u be (-14)/3 - (-8)/12. Let t = 6 + u. Suppose 0*m - 2*y = -t*m + 14, -5*m - y + 17 = 0. Calculate the remainder when 11 is divided by m.
3
Let g = 38 + -29. Suppose -3 + 54 = u. Suppose u = t + 2*t. Calculate the remainder when t is divided by g.
8
Let y = -7 + 23. Let t(p) = -5*p**2. Let q be t(1). Let j = q + 52. What is the remainder when j is divided by y?
15
Suppose -2*f - 2*o - 1 = 1, 0 = 5*f - 5*o - 45. Suppose -f*k = -2*c - 160, -5*k - 201 = -10*k + 2*c. Calculate the remainder when k is divided by 21.
20
Let f(i) = 19*i + 4*i + 11*i. Let p be f(-6). Calculate the remainder when 25 is divided by (-1)/(-4) - p/16.
12
Let u(d) = d - 3. What is the remainder when 14 is divided by u(6)?
2
Suppose 3*p = 3*f + 12, 3*f = -p + 2*f + 14. Suppose 5*j + 9 = -2*q + 68, 3*q + j - 56 = 0. Calculate the remainder when q is divided by p.
8
Calculate the remainder when 34 is divided by (-9)/(-1) - (-3 - 1).
8
Suppose 2 - 38 = 4*n. Let z be (2 - 1)/(1/n). Calculate the remainder when 6 is divided by 4*z/(-6) - 2.
2
Calculate the remainder when 23 is divided by 4/((-20)/(-35)) + 2.
5
Let u = 32 - 15. What is the remainder when 33 is divided by u?
16
Suppose 3 = -5*x - 12. What is the remainder when (11/3)/((-1)/x) is divided by 7?
4
Let c be (-12)/(-9)*(-9)/(-6). Suppose 0 = n - 2, -c*n = 5*r + 2*n - 158. Let y(a) = a + 3. What is the remainder when r is divided by y(5)?
6
Let b(v) = 99*v**2 - 1. What is the remainder when b(-1) is divided by 25?
23
Let s = 14 - 7. Calculate the remainder when s is divided by 2/3 - (-52)/12.
2
Calculate the remainder when 39 is divided by (-1)/(-3)*(-13 - -43).
9
Let r(f) = -2*f. Let g be r(-6). Let o = 26 - g. Calculate the remainder when o is divided by 8.
6
Suppose 2 = -3*m + 98. What is the remainder when m is divided by 11?
10
Let s(w) = w - 2. Let d(l) = 4*l + 6 - 2*l - 3*l. Calculate the remainder when d(0) is divided by s(6).
2
Suppose 3*a - a - 8 = 0. Suppose 3*g + 5*o = a*o + 82, -12 = -3*o. Calculate the remainder when g is divided by 9.
8
Suppose -3*z + 182 = -g, 2*z + 5*g - 20 = 73. Suppose 2*k - 1132 = 4*t + 4*k, 3*t = -5*k - 842. Calculate the remainder when z is divided by 2/(-7) - t/14.
19
Let h(x) = -2*x + 4. Let r(c) = c. Let k(f) = -h(f) - 3*r(f). Calculate the remainder when 2 is divided by k(-6).
0
Let x(d) = -d. Let a(b) = 2*b - 2. Calculate the remainder when a(5) is divided by x(-3).
2
Let x be (-145)/45 - 2/(-9). Let q = x + 9. Calculate the remainder when 16 is divided by q.
4
Suppose 4*o - 14 = 2*o. Suppose 0 = q + 15 - 20. What is the remainder when o is divided by q?
2
Suppose -2*p = 0, -2*p - 34 = -3*a - 10. What is the re