late the remainder when c is divided by x.
7
Suppose 0*z = -2*z + 20. What is the remainder when 2/8 - (-71)/4 is divided by z?
8
Let h be 8*3/(-6)*-1. Suppose -183 = h*t - 39. Let c = 56 + t. Calculate the remainder when 58 is divided by c.
18
Let n(s) = -s**3 + 8*s**2 - s + 8. Let u be n(8). Suppose u*y = 2*o - 5*y - 35, -40 = -5*o + 3*y. Calculate the remainder when o is divided by 3.
2
Suppose 5*r = 115 - 20. Calculate the remainder when 53 is divided by r.
15
Let z = -39 + -49. Let c = -59 - z. Suppose 5*m = 61 + c. Calculate the remainder when 52 is divided by m.
16
Let f = 56 + -38. Calculate the remainder when 88 is divided by f.
16
Suppose 5*r - 3*t - 25 = 4*r, -59 = -3*r + 5*t. Let i(k) = -k**2 + 7*k + 2. Calculate the remainder when r is divided by i(6).
5
Suppose h = 74 - 10. Calculate the remainder when h is divided by 11.
9
Let y(g) = -3*g**3 - g**2 + 3*g - 3. Calculate the remainder when y(-3) is divided by 7.
4
Let w be (0 + 4)*(-6)/(-8). Let p(i) = -i**3 - 2 + 2*i**3 + i**2 - 6*i + w*i**2. What is the remainder when 4 is divided by p(-5)?
1
Let h(y) = -74*y**2 + y - 1. Let p be h(1). Let n = 117 + p. Calculate the remainder when n is divided by 22.
21
Suppose 0*c = -2*c - 2. Let i = 14 + c. What is the remainder when 24 is divided by i?
11
What is the remainder when 2/(1 - 3) - -11 is divided by 6?
4
Let i(l) = 3*l**2 + 6*l + 2. Suppose 4*g = -g. Suppose 0 = -g*b - b + 16. Calculate the remainder when i(-5) is divided by b.
15
Suppose 3*s = 8*s + 80. Let t = s - -6. Calculate the remainder when (t - 3/(-1))*-3 is divided by 11.
10
Suppose -3*m - s + 28 = 0, -4*m + 43 = 2*s + 9. Calculate the remainder when 43 is divided by m.
10
Let p(q) = -q**2 + 11*q - 3. Calculate the remainder when 24 is divided by p(10).
3
Let i = -4 - -2. Let x(w) = 6*w**3 - w - 3. Let j(b) = -31*b**3 + 5*b + 16. Let n(z) = -2*j(z) - 11*x(z). Calculate the remainder when n(i) is divided by 11.
9
Let i = 0 - -15. Suppose -v + 2*v - w - 17 = 0, -3*w = i. Suppose 5*x - 4*g - 17 = 4*x, 4*x = g + 83. What is the remainder when x is divided by v?
9
Suppose 4*r - 310 = -r. Calculate the remainder when r is divided by 16.
14
Suppose 94 = 4*v + 10. Let y(l) = l + 1. Let g be y(-1). Suppose g = 5*c - c - 44. Calculate the remainder when v is divided by c.
10
Let c(m) = m + 11. What is the remainder when c(14) is divided by 9?
7
Suppose v = 2*v - 38. Suppose -3*s + 0 = -6. Suppose -2*u = 3*d - 20, 3*u - 9 = 2*u - s*d. What is the remainder when v is divided by u?
12
Suppose 56 = -0*u + 4*u. Suppose -2*b = -48 + u. Suppose -169 + 10 = -3*g - 5*f, 2*f = 5*g - 234. Calculate the remainder when g is divided by b.
14
Let s(t) = t**3 + 3*t**2 - 3*t - 4. Let g = -15 - -12. Calculate the remainder when 18 is divided by s(g).
3
Suppose 5*t = g - 97, t + 40 = 2*g - 109. Calculate the remainder when g is divided by 25.
22
Suppose -8 - 2 = 5*u. Let z(s) = -3*s + 2. Calculate the remainder when 15 is divided by z(u).
7
Let c(g) = g**2 - 6*g - 7. Let p be c(6). Suppose 2*j + 4*q - 72 = 0, 4*j - 5*j + 4*q + 6 = 0. What is the remainder when j is divided by 8/(-28) + (-65)/p?
8
Let h(c) = 8*c**3 - 4*c + 4. Calculate the remainder when h(2) is divided by 7.
4
Let n be ((-9)/(-4))/((-4)/(-16)). Let t = 16 - n. Calculate the remainder when t is divided by 2.
1
Let f(d) = -3*d - 9. Let w(m) = -m - 4. Let o(p) = -2*f(p) + 5*w(p). What is the remainder when o(3) is divided by 1?
0
Suppose 0 = -3*l - 0*w + 4*w + 147, 0 = -5*l + 3*w + 234. What is the remainder when 85 is divided by l?
40
Let u = 9 - 17. Calculate the remainder when 8 is divided by 13/3 + u/(-12).
3
Let o be (-2)/8 - 962/(-8). Suppose -200 = -5*i + z, -2*i - o = -5*i + 4*z. Calculate the remainder when i is divided by 14.
12
Suppose 0 = p + p + 148. Let b = -24 - p. Let c = -144 - -157. What is the remainder when b is divided by c?
11
Let t(x) = -x**3 + 5*x**2 + 10. Let b be t(5). What is the remainder when 29 is divided by 12/5*b/3?
5
Let k(n) = -n + 10 + 4*n**2 - 2 - 3*n**2. What is the remainder when 22 is divided by k(0)?
6
Let o = 58 - 30. Calculate the remainder when o is divided by 10.
8
Let v = 33 + -28. Calculate the remainder when 19 is divided by v.
4
Let d(z) = z**2 - 2*z - 3. Let u(c) = -1. Let j(m) = d(m) - 5*u(m). Let h be j(5). Suppose -4*t + h = -35. What is the remainder when 49 is divided by t?
10
Let p(t) = t + 1. Let i be p(4). Suppose 5*h - 30 = -i*s, h + 54 = s + 4*s. What is the remainder when 29 is divided by s?
9
Let h be (-8)/(-36) - 1519/(-9). Suppose 3*m = 2*o - h, m + 0*o = -o - 53. Calculate the remainder when m/(-4) + (-3)/(-12) is divided by 8.
6
Let s be (-2)/(-3) - (-165)/9. Suppose 4*l = 2*u, -s = -3*u + 2*l - 3. What is the remainder when 14 is divided by u?
6
Let c(f) = -f**3 + 7*f**2 + 10*f - 4. Suppose -13*r + 9*r = -32. Calculate the remainder when 46 is divided by c(r).
10
Let w(c) = -c**3 + c + 2. What is the remainder when w(-3) is divided by 14?
12
Suppose -4*k + 17 = 3*i, -3*k = -0*i - 2*i. Suppose 3*q - 9 = -3*t, q = -4*t - k*q + 16. What is the remainder when t is divided by 5?
2
Suppose -c - 49 = -2*c. Calculate the remainder when c is divided by 8/(-6) - 1/((-6)/164).
23
Let a = -17 + 40. Let c(r) = -r**3 - 6*r**2 + 38. What is the remainder when a is divided by c(-4)?
5
Suppose -r = 4*m + 651 - 192, -m + 5*r = 99. Let j = m - -160. What is the remainder when j is divided by 16?
14
Suppose -2*w = 3*w - 70. Calculate the remainder when 25 is divided by w.
11
Let g(m) be the third derivative of 25*m**4/24 + m**3/6 + 2*m**2. Calculate the remainder when g(1) is divided by 9.
8
Suppose -5*d = 3*o - 146 + 2, 0 = d. Suppose -11*u - o = -14*u. Suppose 3*c - 3*n = 144, n + 228 = 2*c + 3*c. Calculate the remainder when c is divided by u.
13
What is the remainder when 8/36 + (-1813)/(-63) is divided by (2/(-4))/((-1)/12)?
5
Let d = -2 + 5. Suppose -4*x = -5*u - 0*x + 14, -u = d*x + 1. Let y = 6 + 1. What is the remainder when y is divided by u?
1
Suppose 0 = -4*d - 73 + 193. Calculate the remainder when 43 is divided by (-22)/5*d/(-12).
10
Let c(a) = -a**2 + 11*a - 6. Calculate the remainder when 107 is divided by c(4).
19
Let y(t) = -t**2 - 7*t - 7. Let p be y(-5). Calculate the remainder when 15 is divided by ((-16)/p)/((-14)/21).
7
Suppose -5*h - 5 = -0*h. Let f = 7 + h. Calculate the remainder when 16 is divided by f.
4
What is the remainder when 2 - (-1)/(4/184) is divided by 17?
14
Suppose 0 = 3*o + 12, 2*o + 150 = 2*r - 22. What is the remainder when r is divided by 22?
16
Let s = -22 + 31. Suppose 0 = 3*c - 4*c. Let p(a) = a + 25. What is the remainder when p(c) is divided by s?
7
Let z(d) = d**3 + 6*d**2 - 7*d + 7. Suppose 5*i = -5*n - 2060, -5*n = -0*n + 3*i + 2064. Calculate the remainder when (-4)/(-22) - n/22 is divided by z(-7).
5
Let r(i) be the second derivative of i**3/6 + 9*i**2/2 + i. Suppose -3*y - y = 16. What is the remainder when r(y) is divided by 3?
2
Let k = -11 + 25. What is the remainder when k is divided by 9?
5
Suppose 0 = 3*b - 15, -4*b + 66 = c + c. What is the remainder when c is divided by 12?
11
Let q(i) = -3*i - 2. Let r be q(-4). Suppose r = f - 0*f. Calculate the remainder when 29 is divided by -2 - (-2 - 1*f).
9
Suppose 0 = -v - 2*b + 23, 5*v + b + 3*b = 85. Calculate the remainder when 140 is divided by v.
10
Let j(r) = -r**3 - 2*r**2 + r. Let n be j(-3). Suppose 0 = -m + 4*m - n. Suppose 0*o - 22 = -m*o. Calculate the remainder when o is divided by 6.
5
Suppose 0 = -t - t + 38. Calculate the remainder when 37 is divided by t.
18
Suppose -3*j - 6 = 2*n - 34, n - 14 = 3*j. Let b = 27 - n. Calculate the remainder when 37 is divided by b.
11
Suppose 6*m + 0*m - 192 = 0. Calculate the remainder when 108 is divided by m.
12
Let d(f) = -f**3 + 4*f**2 - 2*f - 3. Let p be d(3). Let y be ((-5)/(-2))/((-6)/(-12)). Suppose p = -2*a + 9 - y. Calculate the remainder when 3 is divided by a.
1
Let p(v) = -2*v + 7. Suppose 9*q = 4*q - 25. What is the remainder when 32 is divided by p(q)?
15
Let n = 0 - 0. Let v = -4 + n. What is the remainder when (v - -2) + (37 - 0) is divided by 12?
11
Let r = 8 - 10. Let s = r - -32. Calculate the remainder when s is divided by 11.
8
Suppose 0 = -5*t - 76 + 16. Let a be (1 + (-9)/6)*0. Calculate the remainder when 34 