
Let i(j) = -j**3 + 2*j**2 - j + 16. Let y be 0*4/(0 - 8). Calculate the remainder when i(y) is divided by 9.
7
Let k(w) = w**2 + 4*w + 4. Calculate the remainder when k(5) is divided by (-76)/(-6) + 2/6.
10
Let i(k) = k**3 - 3*k**2 + k - 4. Let r(f) = -f**2 + 8*f + 3. Let h be r(8). Let y be i(h). What is the remainder when 34 is divided by 47/4 - y/4?
10
Let r be (0/3)/2*1. Suppose -4*z + 128 = -r*z. Calculate the remainder when z is divided by 11.
10
Let w = 43 - 23. Calculate the remainder when 58 is divided by w.
18
Suppose -489 = -3*s - 0*s - 3*n, 5*n + 333 = 2*s. Suppose -7*l + s = -3*l. Calculate the remainder when l is divided by 21.
20
Calculate the remainder when 35 is divided by 3/((21/(-12))/(-7)).
11
Suppose 3*s - 8*s + 100 = 0. Suppose -s = 4*x - 0*x, -3*o + 5*x = -136. What is the remainder when o is divided by 20?
17
Calculate the remainder when 14 is divided by 3 + (-8)/(-1) + -3.
6
Suppose 3*z + 139 = 8*z + 4*y, y - 120 = -4*z. What is the remainder when z is divided by 16?
15
Suppose -q + x + 2*x = -2, -3*x = -12. Calculate the remainder when 81 is divided by q.
11
Let h be (0 - -1)*(-4 + 4). Suppose i + 35 = 3*x, h = 2*i - i + 2. Calculate the remainder when 21 is divided by x.
10
Let u(g) = g**2 + 112. What is the remainder when u(0) is divided by 33?
13
Suppose -256 = v - 265. What is the remainder when 88 is divided by v?
7
Let t = 20 + -8. Let y be (-266)/(-3) - 6/9. Calculate the remainder when (y/12)/(4/18) is divided by t.
9
Let s = 26 - 12. Let b(a) = 2*a + 1. Let n be b(9). Suppose -5*g + 224 - n = 0. What is the remainder when g is divided by s?
13
Let w = -139 + 144. What is the remainder when 32 is divided by w?
2
Let t(u) = -4*u - 20. Let g be (-1)/(-3) + (-4)/(-6). Let w = g + 8. What is the remainder when t(-9) is divided by w?
7
Let d = 8 - -1. What is the remainder when 31 is divided by d?
4
Suppose 2*l + 20 - 4 = 0. Let c = l - -13. Calculate the remainder when 14 is divided by c.
4
Let f = 35 + -22. Let t(n) = 3*n**2 + n. Let d be t(-1). Calculate the remainder when ((-111)/6)/((-1)/d) is divided by f.
11
Let w = -6 + 14. What is the remainder when 27 is divided by w?
3
Let k(y) = y**2 - y. Let f be k(1). Suppose 2*s - 28 = 4*g, 7*s - 4*g = 11*s - 92. Calculate the remainder when s is divided by 2/(-2) + f - -12.
9
Suppose 2*v + 5*i - 53 = 0, -181 = -4*v + 5*i - 0*i. What is the remainder when v is divided by 8?
7
Let b = -429 + 786. Let k be 4/22 + b/33. Suppose -5*u = k - 46. Calculate the remainder when u is divided by 4.
3
Let o(s) = s**3 - 4*s**2 + 3*s + 3. Let c be o(3). Suppose -c*a = -0*a - 6. What is the remainder when 14 is divided by 5/a*(-4)/(-2)?
4
Suppose 3*f = -3*p + 4*p - 21, -5*p - 2*f = -139. Calculate the remainder when p is divided by 5.
2
Suppose -2*v - 36 = -2*n, -2*n = -0*n - 5*v - 51. Let m be (-332)/6*9/(-6). Let a = m + -47. What is the remainder when a is divided by n?
10
Suppose 4*h - 2 = 2, 5*h = 5*c - 215. What is the remainder when 130 is divided by c?
42
Let i = 13 + -1. Let z = 8 + -5. Suppose c - 92 = -z*c. Calculate the remainder when c is divided by i.
11
Suppose 0 = 3*j - 15, -5*j = -2*w - 0*w + 13. Calculate the remainder when 37 is divided by w.
18
Let w(t) = -t**3 + 4*t**2 + 3*t + 1. Let a = 158 - 121. Calculate the remainder when a is divided by w(3).
18
Suppose n - 9 = -5. Suppose n*w + 0 - 36 = 0. What is the remainder when w is divided by 4?
1
Let y(s) = 7*s + 6*s**2 - s**3 + 2*s**2 - 4 - s**2 - 11*s. Calculate the remainder when 21 is divided by y(6).
5
Calculate the remainder when 46 is divided by 25 + 0 + (-1 - 0).
22
Let w(g) = -g**2 - 8*g - 5. What is the remainder when 37 is divided by w(-5)?
7
Let f = -1 + 27. Suppose -114 = -4*q - 58. What is the remainder when f is divided by q?
12
Let t(d) = 3*d**2 - 4*d - 7. Let h be t(7). Suppose 5*m - 4*f - 108 - 126 = 0, 3*f - h = -2*m. Calculate the remainder when m is divided by 13.
11
Let a(l) = -16*l - 4. Let w be a(-5). Suppose -3*z + 229 = 4*r, z + 2*r - w = -1. Suppose -z = -5*t + 36. Calculate the remainder when t is divided by 12.
11
Let h(z) = z**3 + 6*z**2 - 9*z + 4. Let b(i) = i**3 - 5*i**2 + i + 5. Let g be b(4). Let x = 84 + -50. What is the remainder when x is divided by h(g)?
16
Let g = -44 + 62. Calculate the remainder when 34 is divided by g.
16
Let l(k) = -5*k - 5. Let v(y) = -6*y - 6. Let i(z) = -3*l(z) + 2*v(z). What is the remainder when 78 is divided by i(8)?
24
Let m = -29 - -21. Let l = m - -8. Suppose 130 = -l*g + 5*g. What is the remainder when g is divided by 9?
8
Let t = 10 + -10. Suppose t*v - 4*v = -24. Let j(k) = -6*k - 2. Calculate the remainder when j(-2) is divided by v.
4
Let z(q) = -3*q**3 + 2*q**2 + 5*q + 4. Let u be z(-3). Suppose 0*m + 2*m - u = 0. What is the remainder when m is divided by 23?
21
Let g be ((-24)/15)/(2/20). Let v = g - -43. Calculate the remainder when 79 is divided by v.
25
Let q = 30 - 14. Let n = 36 - q. Calculate the remainder when 39 is divided by n.
19
Let j = 4 + 0. Let f(i) = -i**2 - 4*i - 3. Let b be f(-3). Suppose 2*w = -5*k + 31, 0 = 4*w - b*w + j*k - 80. What is the remainder when w is divided by 8?
7
Let n = -169 + 177. Calculate the remainder when -3*((-17)/3 + 1) is divided by n.
6
Suppose -4*n + 5*l + 415 = n, -5*l = -10. Let g = -48 + n. Calculate the remainder when g is divided by 13.
11
Suppose 16*t = 13*t + 81. What is the remainder when t is divided by 15?
12
Let k(c) = c**3 + 3*c**2. Let o be k(-3). What is the remainder when (-2)/(o + 1) - -21 is divided by 4?
3
Let k(s) = s**3 + 7*s**2 - 2*s + 4. Let r be k(-7). Suppose r = -0*h + h. Calculate the remainder when 35 is divided by h.
17
Let a(m) = m**3 - 4*m**2 - 4*m + 2. Let l be a(5). Suppose 4*c - 68 = -4*k, 3*k - 44 = -4*c + l. Calculate the remainder when k is divided by 6.
5
Let f = -57 + 82. Let l = 77 + -64. What is the remainder when f is divided by l?
12
Let x(d) = d**3 + d**2 + 3*d - 2. Suppose 3*k = 5*k - 6. What is the remainder when x(k) is divided by 11?
10
Let c(f) = f + 4. Let y be c(-7). Let k be y*13*(-1)/3. Suppose 4*o + 1 = -11, 0 = 5*v - o - k. Calculate the remainder when v is divided by 1.
0
Let s = 6 + -4. Suppose 4*k + i = 119, -s*k - 4*i = 2*k - 116. Calculate the remainder when 117 is divided by k.
27
Let v(n) = n**3 - 2*n. Let a be v(2). Suppose 0 = -a*t + k + 54, 5*t - 4*t - 15 = k. Calculate the remainder when (0 - -2)*(12 - 0) is divided by t.
11
Suppose -5*h + 4*m = -593, 0 = 2*m - 4*m - 4. Suppose -2*y + h + 19 = 4*f, 4*y = 16. Calculate the remainder when f is divided by 11.
10
Let p(a) = 2*a**2 + a + 1. What is the remainder when 87 is divided by p(3)?
21
What is the remainder when 87 is divided by 22/(-3)*9/(-3)?
21
Let g be 0*(1 + 0 + -2). Suppose -4*y + 12 = -r - r, 2*r - 4 = g. What is the remainder when 1/2 + (-105)/(-10) is divided by y?
3
Suppose 0 = -2*s - 2*s + 28. Let l(h) = -h**3 - 5*h**2 + 2*h + 10. Let k be l(-8). Calculate the remainder when (-10)/35 + k/14 is divided by s.
6
Let k = -65 + 124. Suppose k = 4*l - 49. Calculate the remainder when 160/2 + (2 - 3) is divided by l.
25
Suppose 0*p = -3*p + 12. Let n(l) = -3*l - 1. Let w be n(-1). What is the remainder when (42/9)/(w/3) is divided by p?
3
What is the remainder when 37 is divided by (-5)/((-5)/(-4)) - -14?
7
Let o = -16 + 31. Suppose 0 = i - 2*i + o. Calculate the remainder when 28 is divided by i.
13
Let d = 8 - 2. Suppose 4*s + 53 = 81. Calculate the remainder when (-2)/6 + 80/d is divided by s.
6
Suppose -6*m = -7*m + 14. Let s(r) = r + 26. What is the remainder when s(0) is divided by m?
12
Calculate the remainder when (-4 - -1) + 3 - -14 is divided by 4.
2
Let y(l) = -l - 7. Let u be y(-9). Suppose p + 4*b - 70 = 0, b = 3*p + u*b - 155. What is the remainder when p is divided by 26?
24
Let w(o) be the first derivative of -o**3/3 - 3*o**2 + 4*o + 3. What is the remainder when 24 is divided by w(-5)?
6
Let f(g) be the third derivative of g**5/60 - 3*g**4/8 - 2*g**3/3 + 2*g**2. What is the remainder when f(11) is divided by 7?
4
Suppose 5*v + 4*x = 57, x + 12 = v + 2*x. Let p = -7 + v. Calculate the remainder when 19 is divided by (-308)/(-11)*p/8.
5
Suppose -6 = -k + 2*k. Let a = 11 + k. Suppose 170 = 5*g - a*f, -g + 6*g - 164 = 2*f. What is the remainder when g is divi