ivided by t.
15
Suppose 0 = t - k - 14, 3*t = -4*k + 2*k + 57. What is the remainder when t is divided by 5?
2
Let p(c) = -c**3 + 9*c**2 - 5*c - 13. Calculate the remainder when p(8) is divided by 3.
2
Let a(v) = -3*v + 10. Suppose -2*f + 7*f + 35 = 0. Calculate the remainder when 59 is divided by a(f).
28
Suppose 5*a + 42 = -4*w, 2*a + 3*w + 7 = -7. Let z(i) = -2*i**2 + 16*i - 13. Let o be z(7). Let y = o - a. Calculate the remainder when 42 is divided by y.
9
Suppose -4*x + d + 4*d + 21 = 0, -5*d = -5*x + 30. Let v = 124 - 89. What is the remainder when v is divided by x?
8
Let m = -75 + 125. Let u = m - 27. What is the remainder when u is divided by 6?
5
Suppose -30 = -4*p + 3*p. What is the remainder when 178 is divided by p?
28
Suppose 0*a = a - 40. What is the remainder when 118 is divided by a?
38
Let z(p) = p**2 - p. Let s be z(0). Suppose s = 4*j - y - 259, 0*j + 4*y + 76 = j. What is the remainder when j is divided by 17?
13
Let s(m) = -6*m. Suppose 0 = -4*j - 4*h + 8, -j - 2*j + 2*h = -21. Calculate the remainder when s(-2) is divided by j.
2
Suppose 0*h + 2*h + 54 = 0. Let n = 80 + h. Suppose 9 = -k + 27. Calculate the remainder when n is divided by k.
17
Let l(c) = -c**2 - 12*c + 1. Suppose 0*w = -3*w - 30. Calculate the remainder when 62 is divided by l(w).
20
Suppose 9*a = 2*a + 1204. Calculate the remainder when a is divided by 44.
40
Let t = 138 - 78. Calculate the remainder when t is divided by 21.
18
Suppose x = 4*x - 57. Let z(r) = r**2 - 2*r + 2. Let y be z(2). Let u(m) = 4*m**2 - 2*m - 2. Calculate the remainder when x is divided by u(y).
9
Suppose 7*r = -2*r + 108. Calculate the remainder when 165 is divided by r.
9
Let n(h) = -h**3 - h**2 + 3*h + 47. What is the remainder when n(0) is divided by 10?
7
Suppose -r + 5*c - c + 55 = 0, 2*r + 4*c - 110 = 0. What is the remainder when r is divided by 28?
27
Let i = -12 - -32. Let y(b) = -2*b**3 - 4*b**2 + b - 2. Calculate the remainder when y(-4) is divided by i.
18
Suppose 4*z - 79 = u, -z + 4*u = 2*z - 69. What is the remainder when z is divided by 5*(3 + 3 + -5)?
4
Let l = 2 - 4. Suppose -3*u - 3 = -2*g, 7 = 2*g + 5*u - 4. Let r = g + l. Calculate the remainder when r is divided by 1.
0
Suppose 4*q - 60 = -q. Let f = -7 + q. Let p = 11 - 8. Calculate the remainder when f is divided by p.
2
Let b = 6 + -6. Suppose 4*u + 57 = -k, b*k - 219 = 3*k - 4*u. Calculate the remainder when (-3 - k/(-6))*-2 is divided by 16.
13
Let s(d) = -d**3 - 8*d**2 - 8. Let i be s(-8). Let j = -3 - i. Suppose 2*w + 3 = j. What is the remainder when 2 is divided by w?
0
Suppose 0 = -4*r - 16, -3*r + 7*r = -2*q - 10. What is the remainder when 21 is divided by (3 - 3)/q - -6?
3
Let a = 9 + -4. What is the remainder when 37 is divided by a?
2
Suppose -2*b + b = -14. Suppose 2*u = 6*u - 36. What is the remainder when 4/6 + 480/u is divided by b?
12
Let j(l) = l**3 - 7*l**2 - 8*l + 4. Suppose 0 = 2*h - 14 - 2. Let y = 2 - 0. What is the remainder when j(h) is divided by y?
0
Let d(r) = 6*r + 3. Suppose 3*o = -8*o + 231. Calculate the remainder when d(6) is divided by o.
18
What is the remainder when 12/20 - 8/(-20) is divided by 1 + 0*(-2)/(-4)?
0
Let z(m) = m**2 + 7*m - 3. What is the remainder when 80 is divided by z(-10)?
26
Suppose 4*l + 3*h - 9 = l, -4 = 4*h. Suppose -n = -2*n + 4*f - l, -2*n = -5*f + 5. Let q = 11 - n. Calculate the remainder when 32 is divided by q.
10
Let a be 5/((-15)/6) + 110. Suppose -a = -5*u - b + 2*b, -3*b - 38 = -2*u. What is the remainder when u is divided by (-8)/3*(-18)/4?
10
Suppose 0 = -4*n + n. Suppose -2*v + 4*v + 4*w - 36 = 0, -4*v + w + 45 = n. What is the remainder when 35 is divided by v?
11
Let d(u) = -u**2 + 3*u**2 + 3*u + 0*u + 3 - u**2. What is the remainder when d(4) is divided by 11?
9
Suppose 19 = -2*h - 55. Let g = h - -70. Calculate the remainder when 63 is divided by g.
30
Let g = 279 - 199. What is the remainder when g is divided by 21?
17
Let a(i) = 6*i + 3. Suppose -7 = -2*t + t - 2*r, 4*r = 2*t + 2. Calculate the remainder when 40 is divided by a(t).
19
Suppose 10*c - 230 = -90. What is the remainder when c is divided by 10?
4
Suppose 4*f + 0*f - 40 = 0. Let p(k) be the third derivative of -k**5/60 + k**4/2 + k**3/2 + k**2. Calculate the remainder when p(6) is divided by f.
9
Let b(q) = 51*q**2 - 2*q - 1 - 3*q + 5*q + 2*q. What is the remainder when b(1) is divided by 18?
16
Let m(t) = -4*t - 1. Let u(f) = f + 1. Let j(w) = m(w) + 2*u(w). Suppose 0 = 10*a - 6*a - 48. What is the remainder when a is divided by j(-3)?
5
Suppose 0 = 3*k + k - 180. Suppose -h + 2*h = k. Calculate the remainder when h is divided by 16.
13
Let f(h) = h**3 + 6*h**2 - 7*h + 3. Let u be f(-7). Suppose u*a - 25 = -4*g, 8*g - 5 = 3*g + 5*a. Calculate the remainder when 11 is divided by g.
3
Suppose 3*h = -0*h - 60. Let j be (-4)/(-10) - 72/h. Suppose -103 = -j*w - 5*l, 4*l = 2*w - 0*l - 58. What is the remainder when w is divided by 14?
13
Let z(a) = -a**3 + a + 11. Calculate the remainder when 30 is divided by z(0).
8
Let s(v) = -v**2 + 7*v + 5. What is the remainder when s(7) is divided by (-1 + -5)*1/(-3)?
1
Let y(x) = x**3 - 6*x**2 + 9*x**2 + 7*x**2 + 7*x + 9 + 0*x**3. What is the remainder when y(-9) is divided by 10?
7
Let c = 4 - 4. Suppose 3*k - 5*d = 12, -5*k + 0*d + 4 = -3*d. Let n = c - k. Calculate the remainder when 2 is divided by n.
0
Suppose -3*n = q - 19, -5*n - 2*q = 4 - 36. Suppose -15 = -3*i + n. Calculate the remainder when 27 is divided by i.
6
What is the remainder when 55 + 0 - (-3 - -7) is divided by 13?
12
Let y = 13 + -8. Suppose 0 = -3*i + o, 3*i = -2*i - 3*o. Suppose b + y*a - 2 = i, -35 = -5*b - 3*a + 19. Calculate the remainder when 23 is divided by b.
11
Suppose 3*f - 85 = 5. Suppose 11*l = 6*l + 200. Suppose -5*p = -0 - l. Calculate the remainder when f is divided by p.
6
Suppose 3 + 2 = y. Let g = -3 + 7. Suppose 0 = -2*j - u + 29, -2*j = 2*j - g*u - 40. Calculate the remainder when j is divided by y.
3
Calculate the remainder when ((-12)/(-5))/((-14)/(-105)) is divided by 5.
3
Suppose -231 = -4*v - 35. Suppose 4*m + 85 = 5*z - m, -m = 2*z - 22. What is the remainder when v is divided by z?
10
Let v(z) be the third derivative of z**5/60 + z**4/8 + z**3/2 - z**2. Suppose -2*w + 5*w - 6 = 0. What is the remainder when w is divided by v(-2)?
0
Let i(s) = -s**3 + 6*s + 8. What is the remainder when i(-4) is divided by 10?
8
Suppose 5*r - c - 251 = 69, 5*r - 310 = 3*c. Suppose -5*m + r + 0 = 0. What is the remainder when 24 is divided by m?
11
Let s(f) = -f. Let l be s(1). Let c(u) = -2*u - 4. Calculate the remainder when c(-5) is divided by 1 + l/((-2)/6).
2
Suppose 5*n + 4*v = -27 + 62, -n = v - 8. Suppose -13 + 154 = n*i. Suppose -w + 16 = 2*l - 8, 4*w = -3*l + 76. Calculate the remainder when i is divided by w.
15
Let i(n) = -4*n + 1. Let b be i(5). Let g(t) = 3*t**2 - 2. What is the remainder when (2 - 1)/((-1)/b) is divided by g(2)?
9
Let h = 10 + -7. Suppose -j = -r + 3 - 15, h*r + 44 = 4*j. What is the remainder when 15 is divided by j?
7
Let q = 5 - -2. Let l = q + 26. Let x = 16 - -1. Calculate the remainder when l is divided by x.
16
What is the remainder when 22 is divided by 35/4 - (-9)/(-12)?
6
Let g = 73 + -66. Calculate the remainder when 10 is divided by g.
3
Let q(d) = d + 5. Calculate the remainder when q(12) is divided by 9.
8
Let p(g) = 9*g. Let v be (-10)/(-8) - (-2)/(-8). Calculate the remainder when p(v) is divided by 5.
4
Let v = 5 + -5. Suppose -b = -5, z + 3*b - 10 = -v*b. Let q = 9 - z. Calculate the remainder when q is divided by 5.
4
Let n(p) = p**3 + 5*p**2 - 6*p - 3. Let w(v) = -v**3 - 9*v**2 - 18*v - 15. What is the remainder when n(-4) is divided by w(-7)?
11
Suppose 412 + 58 = 5*a. Calculate the remainder when a is divided by 24.
22
Suppose 0 = -2*x - 2*x + 4*j + 280, -2*j + 10 = 0. Suppose -32 = -4*u + 4*a, u + a + 16 = 3*u. Calculate the remainder when 32 is divided by x/7 + u/28.
10
Suppose i - 20 = 2*n, -i + 5*n + 58 = 23. Let l be -1*27*(2 - 1). What is the remainder when 2/(4 - 2) - l is divided by i?
8
Let r(h) = -h**2 + 14*h - 17. Calculate the remainder when 12 is divided by r(12).
5
Let n(x) = -x**3 - 9*x**2 - 11*x - 11. Let d be n(-8). Let v = -6 + d. Calculate the remainder when v is divided b