pose 0 = 4*i - 4*t + 12, 2*t + 1 = -5. Suppose 0 = -f + 1 + 4. What is the remainder when j(i) is divided by f?
2
Suppose 3*v - 5*j = 52, 2 = 3*j - 1. What is the remainder when 53 is divided by v?
15
Suppose 0 = 2*c + r - 43, 86 = 5*c - 2*r - 17. Let m = c + -2. What is the remainder when 92 is divided by m?
16
Suppose 2*b - 7*b = -2*p - 167, -3*p + 117 = 3*b. What is the remainder when 172 is divided by b?
32
Suppose 4*f + 4*j - 1 = 3, -2*f + 8 = -4*j. Calculate the remainder when -1*34/f*-1 is divided by 5.
2
Suppose -l + 4*j + 17 = -0*l, 5*l - 40 = 5*j. Suppose -n + 33 = -l*d + 6*d, n + 3*d - 29 = 0. What is the remainder when n is divided by ((-12)/(-5))/(2/10)?
11
Suppose -15*o = -25*o + 310. Calculate the remainder when o is divided by 16.
15
Let b = 3 + -1. Suppose b*w = -0*w + 4*p + 90, 0 = -3*w + 3*p + 120. Suppose 0*t = -5*t + w. Calculate the remainder when 20 is divided by t.
6
Let f(x) = -49*x - 37. What is the remainder when f(-3) is divided by 37?
36
Let k = 32 + -18. What is the remainder when 39 is divided by k?
11
Let z = -75 - -82. Calculate the remainder when z is divided by 2.
1
Let j = 39 + 75. What is the remainder when j is divided by 29?
27
Suppose -5*c = -4 - 11. Suppose 4*u = c*u + 13. What is the remainder when 51 is divided by u?
12
Let b be (-4 + 0)/(-2) + 2. Let x(p) = p**2 - 4*p + 2. Let w be x(b). Suppose w*r + 1 = 3*r. Calculate the remainder when r is divided by 1.
0
What is the remainder when 18 is divided by ((-4)/(12/(-5)))/((-1)/(-6))?
8
Suppose 5*y = -5*x + 133 + 302, 2*y - 4*x - 144 = 0. Calculate the remainder when y is divided by 14.
12
Let k = 15 - 21. Let m = 6 - 13. Let d = k - m. Calculate the remainder when 1 is divided by d.
0
Let z(j) = 2*j**2 - j - 1. Let o(r) = -r**3 + 4*r**2 + 2*r. Let x be o(5). Let l = -8 - x. What is the remainder when z(-3) is divided by l?
6
Let f(k) = 32*k**3 + 1 - 1 - 1 + 2*k. What is the remainder when f(1) is divided by 2 + -2 + 5 + 7?
9
Suppose -2*j - 240 = -2*h - 7*j, -2*j + 496 = 4*h. What is the remainder when h is divided by 32?
29
Let z = 79 - 59. Suppose 0 = 4*d, -m - 2*m + d + 117 = 0. Calculate the remainder when m is divided by z.
19
What is the remainder when 119/(-11)*-1 - 8/(-44) is divided by 6?
5
Calculate the remainder when 4 + -4 + 213/3 is divided by 18.
17
Suppose 11*a = 21 + 1332. Calculate the remainder when a is divided by 18.
15
Let h be 1 + 1 + 3*4. Suppose -4*v = -o - 0*o + h, -2*o + 2*v = -22. What is the remainder when o is divided by 6?
4
Let q(u) = u - 3. Let g be q(3). Suppose m = -g*m + 5. What is the remainder when m is divided by 4?
1
Let m = -22 + 37. Calculate the remainder when 74 is divided by m.
14
Let b = -8 + 3. Let j(l) = -2*l + 2. Let v = 763 + -756. Calculate the remainder when j(b) is divided by v.
5
Calculate the remainder when 83 is divided by 12/28 - 144/(-7).
20
Suppose 150 = 6*y - y. Calculate the remainder when y is divided by 11.
8
Let a(t) = 2*t**2 - 4*t - 3. Let m be a(5). Let q = m + 18. What is the remainder when q is divided by 12?
9
Calculate the remainder when 47 is divided by (24/(-9))/((-6)/27).
11
Let o(b) = b**3 - 3*b**2 + 2*b - 3. Suppose i = -0*i + 3. Let m be o(i). Let x = m - -2. What is the remainder when x is divided by 3?
2
Let k(v) = -v**2 + 25*v - 30. Suppose -7*d + 2*d + 530 = 0. What is the remainder when d is divided by k(22)?
34
Suppose l = -3*j + 16, 3*l = 5*j - 17 - 5. What is the remainder when 12 is divided by j?
2
Let a = -95 + 110. Calculate the remainder when 102 is divided by a.
12
Let d(u) = -u**3 + 7*u**2 + 1. Let x(r) = 0*r**3 + 3*r**2 + 1 + 0*r**2 + 4*r - 4*r**3 + 3*r**3. What is the remainder when d(6) is divided by x(3)?
11
Suppose 0 = -2*n - 0 + 6. Suppose -5*p = -n*d + 3, -8*p - 5 = -3*p - 5*d. Suppose p = -3*c + 25 + 2. What is the remainder when 26 is divided by c?
8
Suppose 2*h = 2 - 12. Let d(f) = -2*f**2 - 6*f - 1. Let r be d(h). Let w = 34 + r. Calculate the remainder when 37 is divided by w.
11
Suppose 2*a + 2 = 4*a. What is the remainder when 7*a + (-6)/(-2) is divided by 4?
2
Suppose -18 = -0*d - 3*d. Let n = 10 - d. What is the remainder when 11 is divided by n?
3
Let l be 1 + -1*(2 - 9). Let k = l + -1. What is the remainder when 25 is divided by k?
4
Let i = -36 + 42. What is the remainder when 11 is divided by i?
5
Let g(s) = s**3 - 9*s**2 + 22*s - 5. Calculate the remainder when -2*3/(-3 - -2) is divided by g(5).
1
Suppose 150 = 3*t - 27. Let v = 51 - 36. Calculate the remainder when t is divided by v.
14
Let z = -36 - -62. What is the remainder when z is divided by 10?
6
What is the remainder when 4 is divided by (-10)/(-4) + (-4)/8?
0
Suppose -3*q = -8*q + 20. Suppose -m + f + 2 = -6, m - 2*f - 9 = 0. Calculate the remainder when m is divided by q.
3
Suppose 3*c - 15 = 3*z, -3*c + 14 + 7 = -5*z. Suppose 3*x = -c*x + 25. Calculate the remainder when x is divided by 3.
2
Calculate the remainder when 30 is divided by 2*3*(-8)/(-3).
14
Let r(n) = 2*n**2 + 1. Let p(t) = -t**2 + t - 1. Let l(k) = k - 9. Let i be l(10). Let m be p(i). Calculate the remainder when 5 is divided by r(m).
2
Let x be -2 - (1 + -12 + 3). Suppose -2*n + 53 = n - 2*c, x = 3*c. Calculate the remainder when n is divided by 11.
8
Let c(x) = -19 + 3*x - 1 - 14*x**2 + 9*x - x**3. Calculate the remainder when c(-15) is divided by 13.
12
Suppose 5*f - 4*r = 633, 2*r = f - 0*r - 123. Calculate the remainder when f is divided by 33.
30
What is the remainder when 15 is divided by ((-7)/(70/12))/((-4)/10)?
0
Suppose -46 = -4*k + 5*g, 3*g - 4*g = 2. Let z = k - 2. Calculate the remainder when 20 is divided by z.
6
Suppose -5*t = -3*t - 232. What is the remainder when 41 is divided by 5/(-10) + t/8?
13
Let j be 2*(-1 - (-24 - 2)). Calculate the remainder when 3/(3/j) - 0 is divided by 17.
16
Let p(v) = -v + 14. Let l be p(10). Suppose 3*j - 113 = -2*c, -3*c + 181 = l*j + 11. What is the remainder when c is divided by 15?
13
Suppose 8 = -5*s + 38. Suppose j + 48 = 3*c + 2*j, 5*j = -3*c + 48. What is the remainder when c is divided by s?
4
Let d be 6/4*(-8)/(-6). Suppose 0*i = d*i - 6. Calculate the remainder when 33 + -2 + i + -2 is divided by 17.
15
Suppose 0*w - 26 = -2*w. Suppose 0 = 4*a - 0*m + 5*m - 52, -m = a - w. Calculate the remainder when a is divided by ((-26)/(-4) - 4)*2.
3
Suppose v = 2, 4*j + 4*v + 66 = 5*v. Let f = 3 - j. What is the remainder when 56 is divided by f?
18
Let n(s) be the first derivative of s**2/2 - 6*s + 3. Let b be n(10). Let x = b + 28. What is the remainder when x is divided by 11?
10
Suppose 5*x = 25 + 5. What is the remainder when 11 is divided by x?
5
Let f = -8 - -12. Suppose 3*s - 8 = -c + 10, c = -4*s + 23. What is the remainder when f is divided by c?
1
Let u(y) = -78*y**2 + 1. Let o be -2 + 2 + 1 + 0. Let b be u(o). What is the remainder when (-476)/b + 2/(-11) is divided by 4?
2
Calculate the remainder when 17 is divided by (3 - 7)*10/(-4).
7
Let o(k) = k**3 - 15*k**2 - 5*k - 16. Let g be o(15). Let c = g - -154. What is the remainder when c is divided by 22?
19
Let j(q) = -q**3 + 10*q**2 + 4*q - 13. Let n be j(10). Let u = 46 - n. Let o = u + -11. Calculate the remainder when 22 is divided by o.
6
Suppose 0 = s - 5*s. Calculate the remainder when 44 is divided by (-1)/((-1)/23) + s.
21
Suppose 2*u + 4*h - 2 = -0*u, 4*u - 17 = 5*h. Suppose 2*d = -5*k + 91, -3*k + 2*d + 2*d + 39 = 0. Let q = -10 + k. What is the remainder when q is divided by u?
1
Let f(w) = -w**3 + 6*w**2 + 6. Let d be f(6). Let q(m) = -m - 2*m + 5*m - d*m + 7. Calculate the remainder when q(-6) is divided by 11.
9
Let w(f) = -3*f**3 - f**2 + 1. Let l = -13 + 23. Calculate the remainder when l is divided by w(-1).
1
Let n be (-12)/24 - (-3)/2. Let o(t) = 7*t + 1. Calculate the remainder when 47 is divided by o(n).
7
Let g = -98 - -162. Calculate the remainder when g is divided by 35.
29
Let u = 152 - 230. Let l = u - -42. Calculate the remainder when 21 is divided by (l/21)/((-1)/7).
9
Suppose 0 = -22*r + 15*r + 56. What is the remainder when r is divided by 6/9 + (-4)/(-3)?
0
Let v = -85 + 148. Calculate the remainder when v is divided by 22.
19
Suppose 3*x - 6*x = -30. Let r(m) = 31*m**2 + 1. Let q be r(-2). Suppose -5*j + q = 5*z, -j = 2*z + z - 17. What is the remainder when j is divide