e b(-11). Suppose -172 = -o*d + 58. Calculate the remainder when d is divided by w.
22
Calculate the remainder when 81 is divided by 3/12 - (-2 - 103/4).
25
Suppose 0 = 4*r - 2*r - 10. What is the remainder when r is divided by 2?
1
Let o(t) = 5*t**2 - t**3 - 2 - 2*t + 2 - 3. Calculate the remainder when (2*3)/(3/4) is divided by o(4).
3
Suppose -44 = -u + 5*f, -4*f + 190 = 5*u - 30. Calculate the remainder when u is divided by 15.
14
Let y = -12 - -30. Let w be -3 - 0 - -17 - 2. Let f(q) = -q**3 + 13*q**2 - 11*q - 7. Calculate the remainder when y is divided by f(w).
3
Suppose 0 = s + v + 3*v - 27, -3*v = 3*s - 54. Calculate the remainder when s is divided by 9.
6
Suppose 0 = 5*u + 4 - 29, -4*q = -2*u - 138. What is the remainder when 109 is divided by q?
35
Suppose 5*r - 146 = 2*p - p, p = 4*r - 116. Calculate the remainder when 58 is divided by r.
28
Suppose 3*y + 3 - 18 = 0, 0 = -s + 2*y. What is the remainder when s is divided by 3?
1
What is the remainder when -2 - (3/1 - 89) is divided by 29?
26
Suppose -4*p = -4*r + 214 + 90, 3*p = 0. Calculate the remainder when r is divided by 20.
16
Suppose 2*q - 26 = -8. Let w = q - 5. Calculate the remainder when w is divided by 2*2/(-4) + 4.
1
Let c = -49 + 66. What is the remainder when c is divided by 6?
5
Suppose 5*h - 410 = -20. Calculate the remainder when h is divided by 8.
6
Let d(f) = -3*f + 9. Calculate the remainder when 57 is divided by d(-2).
12
Let h(g) = -g + 3. Let q be h(-7). Let s = 16 - q. What is the remainder when 9 is divided by s?
3
Let k(b) be the second derivative of b**4/4 + 2*b**3/3 + 3*b**2/2 - 2*b. Let r(l) = l. Let m be r(-2). What is the remainder when 13 is divided by k(m)?
6
Suppose -5*d + 31 = f + 3*f, -3*d + 42 = 5*f. Calculate the remainder when (-2)/((-9)/(459/6)) is divided by f.
8
Let x = 13 + -9. What is the remainder when 10 is divided by x?
2
Suppose -12*r + 1001 = r. What is the remainder when r is divided by 26?
25
What is the remainder when (16/24)/(4/510) is divided by 11?
8
Suppose -2*f + 5*w = -5, 4*w + 1 = f - 0*w. Suppose f*c - 45 + 0 = 0. Suppose -4*a = -1 - 15. What is the remainder when c is divided by a?
1
Let f = 42 - 24. Calculate the remainder when -17*(0 + 3*-1) is divided by f.
15
Let d = 5 + -3. Let c be 2/11 + 126/33. Suppose 25 = c*r + r. What is the remainder when r is divided by d?
1
Let g(b) = -b**3 + 5*b**2 - 2*b - 1. Let x(h) = 4*h**2 + 22*h + 1. Calculate the remainder when x(-7) is divided by g(3).
10
Let v(f) = 4*f**3 - 3*f**2 + f - 1. What is the remainder when v(3) is divided by 43?
40
Suppose -21 + 86 = 5*n. Let k = -68 + 42. Let c = 50 + k. Calculate the remainder when c is divided by n.
11
Let x be (11/4)/((-3)/(-12)). Let r = 16 - x. Suppose -r*t = -0*t - 60. Calculate the remainder when 22 is divided by t.
10
Let u = 29 + -20. Suppose k = -7 - u. Let o = 28 + k. What is the remainder when 34 is divided by o?
10
Suppose -s + 20 + 0 = 0. What is the remainder when 46 is divided by s?
6
Let v = -115 - -174. Let f(i) = -i**3 - 12*i**2 - 5*i - 29. Calculate the remainder when v is divided by f(-12).
28
Let n = 4 + 1. Suppose 37 = 3*k + 5*u, -4*k = n*u - 0*u - 56. What is the remainder when k is divided by 11?
8
Suppose -3*v = y - 2*v - 22, -4*y + 112 = -2*v. Calculate the remainder when y is divided by 14.
12
Calculate the remainder when 127 is divided by (-63)/(-2) + 10/20.
31
Suppose 2*i - 2 = 6. Suppose 3*m - i*w = 31 + 9, 5*m - 5*w = 65. Calculate the remainder when 35 is divided by m.
11
Suppose 4*f + 42 = 6*f. Let i(t) = -t**3 - t**2 - 2*t. Let r be i(-2). Calculate the remainder when f is divided by 44/r*(-1 + 3).
10
Suppose 0*i = -5*i + 270. Calculate the remainder when i is divided by 14.
12
Let g(r) = r**2 - 13*r + 9. What is the remainder when g(14) is divided by 13?
10
Let l(t) = t**3 - 15*t**2 + 13*t + 31. What is the remainder when 48 is divided by l(14)?
14
What is the remainder when 11 is divided by 7 - (10 - 30/6)?
1
Let a(p) = 3*p**2 + p - 5. Calculate the remainder when a(6) is divided by 16.
13
Let o(l) = l**2 - 2*l + 3. Let m be o(2). Suppose g + m*p - 17 = 0, 5*g - 3*p + 5 + 0 = 0. What is the remainder when 9 is divided by 5 - 2*1/g?
1
Suppose 0 = -s + 4*s - 345. Let o = 189 - s. What is the remainder when o is divided by 19?
17
Let g = -17 - -24. Calculate the remainder when 11 is divided by g.
4
Let p = -7 - -16. Let j(g) = 6*g + 11. Let f be j(p). Suppose 6*y - f = y. Calculate the remainder when 50 is divided by y.
11
Suppose -2*v = -8 - 4. Suppose 2*m - v*m = -352. Calculate the remainder when m is divided by 23.
19
Suppose -160 = -65*c + 61*c. What is the remainder when 79 is divided by c?
39
Let v(x) = -x**3 + 6*x**2 - 5. Let c(r) = r**2 - 42. Calculate the remainder when v(4) is divided by c(7).
6
Let f(m) = m + 1. Let u(a) = 3*a - 8. Let i(k) = 6*f(k) + u(k). What is the remainder when i(4) is divided by 6/4*(9 - -3)?
16
Suppose f = -a + 3*a + 120, 3 = 3*a. What is the remainder when f is divided by 25?
22
Suppose -3 = -w + 1. Let a(h) = 36 + 0*h - 31 + h. Calculate the remainder when 26 is divided by a(w).
8
Suppose -7*j + 2*j + 165 = 0. Suppose 0 = 4*s - 5*w + j, 2*s - 3*w = -19 - 0. Let i(n) = -2*n**3 - 2*n**2 - 1. What is the remainder when 19 is divided by i(s)?
5
Let w(i) = 3*i**3 - 21*i**2 - 6*i + 2. What is the remainder when w(8) is divided by 49?
48
Let v(a) = a**2 + 4*a - 7. Let b be v(-6). Suppose b*u = 25 + 40. Suppose 0 = -p - 0*p + u. Calculate the remainder when 38 is divided by p.
12
Let g(i) = 8*i - 1. Suppose 7*a - 4*a - 9 = 0. Suppose 4*u + u = 5*k - 130, -2*u + 83 = a*k. Calculate the remainder when k is divided by g(2).
12
Let f = 21 - -24. What is the remainder when f is divided by 24?
21
Let n(w) = -w**3 - 3*w**2 + 11*w + 11. Calculate the remainder when 20 is divided by n(-5).
2
Let y(p) = p**2 + 9*p + 1. What is the remainder when (3 + 0)/((-3)/(-2)) is divided by y(-9)?
0
Let r be (5 + -1)*(10 - 0). Let j = r + -23. Calculate the remainder when j is divided by 6.
5
Let x = 8 - 3. Let o(z) = 3*z - 1. Calculate the remainder when 25 is divided by o(x).
11
What is the remainder when (-20)/(-6)*324/15 is divided by 15?
12
Let r = 40 + -28. What is the remainder when 33 is divided by r?
9
Let q = 7 + -1. Let f(g) be the third derivative of g**6/120 - g**5/12 - g**4/4 + g**3/3 + g**2. What is the remainder when f(q) is divided by 2?
0
Suppose -4*w - 65 = 123. Let c = w + 88. Suppose 2*b = 9 + 19. What is the remainder when c is divided by b?
13
Let k be 842/8 + 3/(-12). Let t = k - 75. Let w = -466 + 477. Calculate the remainder when t is divided by w.
8
Suppose 5*i = -0*i, -2*a = -2*i + 30. Let g(q) = q**2 + 14*q + 5. Calculate the remainder when 37 is divided by g(a).
17
Let h = -11 + 23. What is the remainder when h is divided by 9?
3
Suppose 3*k - q - 8 = -2*k, -14 = -2*k - 5*q. What is the remainder when 38 is divided by ((-20)/(-6))/(k/12)?
18
Let x = -1 - -3. Suppose 0 = x*z + z - 9. What is the remainder when 5 is divided by z?
2
What is the remainder when (338/39)/(2/3) is divided by (-2 + (-3)/(-2))*-10?
3
Suppose -300 = -5*s - 135. What is the remainder when 161 is divided by s?
29
Suppose w = 5*w - 76. Suppose x - 5 = p - 3*p, 4 = -4*p. What is the remainder when w is divided by x?
5
Suppose 6 = 2*n + n. Suppose 0 = -b + 5*t + 14, -2*b + 24 = 2*b - 4*t. Let c = -2 + b. What is the remainder when n is divided by c?
0
Suppose -5*z + 18 + 7 = 0. Let x = 8 - z. What is the remainder when 6 is divided by x?
0
Let q(v) = -v**3 + 8*v**2 + 10*v + 2. Let n(t) = -t**3 - 5*t**2 - 5*t - 1. What is the remainder when q(9) is divided by n(-4)?
2
Let p = -74 - -121. What is the remainder when p is divided by 24?
23
Suppose -1 + 5 = 2*z. Let n(i) = -i**3 + 4*i**2 - i - 2. Calculate the remainder when n(3) is divided by z.
0
Suppose t - 22 = -t. What is the remainder when 19 is divided by t?
8
Let n = -17 - -34. Suppose 2*z + 231 = 9*z. Calculate the remainder when z is divided by n.
16
Let c(j) = 2*j. Let z(n) be the third derivative of -n**5/60 - n**4/24 + 11*n**3/6 - 2*n**2. What is the remainder when z(0) is divided by c(3)?
5
Suppose 0 = -3*r + 2*r - 3*f + 20, -4*r + 2*f + 24 = 0. What is the remainder when 13 is divided by r?
5
Suppose -5*d + 2*d + 189 = 2*p, 2*d = 2*p