c - 3*c + 24. Calculate the remainder when s is divided by c.
8
Suppose 4*l - 76 - 156 = 0. What is the remainder when l is divided by 16?
10
Suppose 2*p - 2*a + 5*a - 5 = 0, -15 = -4*p - 5*a. Let o = p + -4. What is the remainder when 10 is divided by o?
4
Let t be (1 + 1)/((-4)/(-22)). Let g = t + -15. Calculate the remainder when 14/g*(0 - 2) is divided by 3.
1
Let g(u) = -u**3 + 4*u**2 + 2*u - 2. What is the remainder when g(4) is divided by 3?
0
Let p(m) = m + 8. What is the remainder when p(-5) is divided by 2?
1
Let j(p) be the third derivative of p**5/30 + 3*p**4/8 - 5*p**3/3 - 17*p**2. Suppose 0 = c + 2 + 5. Calculate the remainder when j(c) is divided by 14.
11
Let x be (0 - (-30)/(-9))*-3. Suppose 5*f + x = 85. What is the remainder when f is divided by 1/(-4) + (-33)/(-4)?
7
Let u = 0 - 7. Let g(n) = n**3 + 6*n**2 - 7*n - 4. Let a be g(u). Calculate the remainder when 3 is divided by (-1 - 0)/(2/a).
1
Suppose 0*a + 4*a = 16. Suppose 22 = 2*g + 5*f - 33, -a*g + 35 = -5*f. Calculate the remainder when 26 is divided by g.
11
Let i(p) = 22*p**2 + 4*p - 2. Let k be i(3). Let f = -129 + k. Suppose 3*z + 28 = f. What is the remainder when z is divided by 9?
8
Let b be (-492)/(-44) + 4/(-22). Suppose o - b = -4*j + 10, 24 = 4*j + 4*o. Calculate the remainder when 15/2 - (-2)/4 is divided by j.
3
Let c(v) = -v**2 - 10*v. Let w be c(-10). Suppose 1 = -4*l - 3*m, w = 3*l - m + 6*m + 9. What is the remainder when 2 is divided by l?
0
Let n be (2/(-2))/((-1)/15). Suppose -3*c + 0 = -n. Calculate the remainder when 13 is divided by c.
3
Let c(b) = -16*b**3 - 5*b**2 - 3*b + 1. Let a(p) = 28*p + 1. What is the remainder when a(2) is divided by c(-1)?
12
Suppose -200 = -5*r - 0*r. What is the remainder when r is divided by 14?
12
Suppose -2*n = 2*t - 40, -5*t = -3 - 2. Let q = 84 - 29. What is the remainder when q is divided by n?
17
Let q(z) = 45*z + 2. What is the remainder when q(1) is divided by 16?
15
Let q = 27 + -17. Calculate the remainder when 37 is divided by q.
7
Let a = 27 - 10. Calculate the remainder when a is divided by 441/91 - (-2)/13.
2
Suppose 3*n + 15 = 45. Suppose l + 5*t - 2*t = -n, 2*l = t + 15. What is the remainder when 8 is divided by l?
3
Let k(w) = w**2 - 11*w - 17. Calculate the remainder when 34 is divided by k(13).
7
Let p = -6 + 8. Let m(g) = -3*g + 27. Calculate the remainder when m(5) is divided by (-2 - 0)*(-7)/p.
5
Let z(y) = 4*y + 5. Let m be ((-4)/(-6))/((-22)/(-165)). What is the remainder when (296/(-20))/((-2)/10) is divided by z(m)?
24
Let l(w) = 2 + 2 - w - 2. Let j be l(4). Let o = j - -13. What is the remainder when o is divided by 6?
5
Suppose -3*t + 21 = -18. Let c be (-8)/(-12) + (-453)/(-9). Suppose 5*i = -j + 30, -2*j + c = -0*j + i. Calculate the remainder when j is divided by t.
12
Suppose 5*u - 10 = 0, 5*d + 0*u = -2*u + 514. Calculate the remainder when d is divided by 15.
12
Let y(z) = -3*z + 2. What is the remainder when 58 is divided by y(-5)?
7
Suppose 0*y - 2*y = 8. Let n = 3 - 0. Calculate the remainder when 4*(-1 - 13/y) is divided by n.
0
Let q = 100 + -80. What is the remainder when q is divided by 9?
2
Calculate the remainder when (9/36)/(1/100) is divided by 4.
1
Suppose -126 = -4*l + l. Suppose -39 = -5*c + 4*j, -2*j + 3*j - 59 = -5*c. Calculate the remainder when l is divided by c.
9
Suppose i - 18 = 4*i. Suppose h = -z - 22, -4*h = -2*z - z - 45. Let s = i - z. Calculate the remainder when s is divided by 5.
3
Let o(n) = -n**2 + 4*n + 3. Let w be o(4). Let f(l) = 4*l + 2. Calculate the remainder when 4/14 + (-556)/(-14) is divided by f(w).
12
Suppose -6*w - 6 = -18. Let t = 3 + -7. Calculate the remainder when w is divided by (-3 - 1)*2/t.
0
Suppose 12*j = 13 + 95. What is the remainder when 21 is divided by j?
3
Suppose -3*s + 1 + 1 = 4*y, -5*s + 5*y + 50 = 0. What is the remainder when 14 is divided by s/(-12) - 22/(-4)?
4
Suppose -13 = -r + 84. Calculate the remainder when r is divided by 20.
17
Let y = -4 - -2. Let u(w) = -34*w - 3. Calculate the remainder when u(y) is divided by 22.
21
Let r = 6 - 2. Let z(g) = g**2 + 1. Calculate the remainder when z(r) is divided by 6.
5
Suppose 2*p = p + 1. Let o be ((-2)/p)/(6/(-6)). Suppose n + 3*d = 18, 4*n + o*d + d - 36 = 0. Calculate the remainder when 16 is divided by n.
4
Let d = -23 - -38. Calculate the remainder when (18/(-8))/((-1)/12) is divided by d.
12
Suppose 0 = 2*w - 4 - 20. Suppose -5*y + 5*v + 20 = 3*v, -w = -3*y + 2*v. Let m(u) = -u**3 + 9*u**2 - u + 12. What is the remainder when y is divided by m(9)?
1
Suppose 0*k = 4*k - 136. Calculate the remainder when k is divided by 18.
16
Suppose -2*w + l + 37 = 0, l - 15 = -2*l. Let f = 62 + 0. Calculate the remainder when f is divided by w.
20
Suppose o - 5*x = -0*o + 17, 3*o = x + 107. Suppose -o + 5 = -2*u. Let w(r) = r**3 - r**2 - 4*r. What is the remainder when u is divided by w(3)?
4
What is the remainder when -1*(-1)/(-4) - (-441)/4 is divided by 28?
26
Let q = 138 - 73. Calculate the remainder when q is divided by 17.
14
Suppose -2*c = -c - 3*d - 13, -2*d = -5*c. Calculate the remainder when 18 is divided by c/7 - (-357)/49.
4
Suppose 3 - 2 = -c - 5*s, -5*c - 4*s = -37. Suppose -c = 3*l, -v + 2*v + 4*l - 33 = 0. Calculate the remainder when v is divided by 16.
13
Let w = -30 + 48. Calculate the remainder when 51 is divided by w.
15
Let z be (-2)/6 + 43/3. Suppose -r = x - 0*r + z, 0 = 5*r + 15. Let q = x + 28. What is the remainder when q is divided by 6?
5
Let h(i) = 8*i**3 + i**2. Let u(w) = -w**2 + 3*w + 5. Let c be u(4). Calculate the remainder when 25 is divided by h(c).
7
Suppose -28 + 4 = -2*b. Let c be 1/((1 - 0)/2). Let z = 20 + c. Calculate the remainder when z is divided by b.
10
Let l(b) = -3*b - 5. Let h be l(-4). Let r(c) = c**2 - 6*c + 8. Calculate the remainder when 42 is divided by r(h).
12
Let k = 43 + -26. Let z(s) = -s**2 + 20*s + 30. Calculate the remainder when k is divided by z(21).
8
Let d(a) = -2*a + 81. Let b be (0/7)/((-4)/(-2)). What is the remainder when d(b) is divided by 21?
18
Let g(f) = -2 - 3 + 3 - 4*f - f**2 - 2*f. Calculate the remainder when g(-5) is divided by 2.
1
Let w = 10 + -7. Let l(n) = 0*n**3 - 3*n**2 - 1 + 7*n - n**w - 4*n. Calculate the remainder when 11 is divided by l(-4).
2
Let q(g) be the second derivative of g**5/20 - g**4/12 + g**3/6 + g**2 + 3*g. What is the remainder when 30 is divided by q(2)?
6
Let i = 17 + -12. Let x be -3*(-1 + i/3). Calculate the remainder when 68 is divided by 163/7 + x/7.
22
Suppose -2*t + 203 = 5*t. Calculate the remainder when t is divided by 1/4 + (-39)/(-4).
9
Let r be (6/(-21))/(4/(-28)). Suppose 4 + 1 = 3*i + 4*j, -r*i + 3*j = -26. Calculate the remainder when 25 is divided by i.
4
Suppose -3*u + 3*s = -8*u + 190, -25 = -u + 2*s. Suppose -5*z + 72 + 23 = 0. What is the remainder when u is divided by z?
16
Let w = -16 - -1. Let i be (-93)/w - (-2)/(-10). Suppose i*h - 7*h = -27. What is the remainder when h is divided by 14?
13
Let h be -9*(-3)/(-27)*3. Suppose 3*w - 4*o = -7, -w + 0*o + 1 = 2*o. Let c = w - h. Calculate the remainder when c is divided by 2.
0
Suppose -2*v = -v - 2*l - 92, 4*v = l + 361. Suppose -6*y + y - v = 0. Calculate the remainder when 38 is divided by 4 - y - 2*1.
18
Let f = -5 + 7. Suppose -f*d + 5*g + 48 = 11, 0 = 4*d - 5*g - 79. What is the remainder when d is divided by 12?
9
Let b = 232 + -405. Calculate the remainder when (-335)/(-9) - (-12)/(-54) is divided by b/(-9) - (-4)/(-18).
18
Let i(f) = 21*f + 1. What is the remainder when i(1) is divided by 6?
4
Suppose 0 = -2*m - 2, j + 12 = m + 34. Calculate the remainder when 61 is divided by j.
19
Let w be 6/(-21) - 52/14. Let j(l) = -l - 6. Let d be j(-7). What is the remainder when 15 is divided by d/w - (-165)/20?
7
Suppose 2*i + 17 = j, -j = 7*i - 3*i - 23. Suppose -2*s = -v + j, -2*v + 5*s + 70 = 2*v. What is the remainder when 43 is divided by v?
13
Suppose -4*v - 32 = -3*q, 0*q + 3*q = -5*v - 13. Let a(s) = -8*s + 2. What is the remainder when a(v) is divided by 22?
20
Suppose 2*i - 2 = i - 4*j, 3*i - 6 = 2*j. Suppose -i*l - 4*z + 0 - 6 = 0, l = -4*z - 11. Calculate the remainder when 14 is divided by l.
4
Let i(k) = -4*k + 2. Suppose -s - 4*s = 35. Let g be i(s). Suppose 2 = m - g. What is the remai