
10
Suppose 2*z + 4*w - 16 = 0, -2*z + 20 = -3*z + 5*w. Suppose 3*l + l = z. Suppose -s + 4*s - 63 = l. Calculate the remainder when 41 is divided by s.
20
Let r(i) be the second derivative of i**4/12 - 5*i**3/6 + 9*i**2/2 - i. Let b be (0 - -2) + 1 + (-4)/(-1). What is the remainder when 44 is divided by r(b)?
21
Suppose z + 2*z - 21 = 0. Let d = 85 - 59. Calculate the remainder when d is divided by z.
5
Suppose 5*j - j = -8. Suppose 2*r - m = -4*m - 1, -3*r - 2*m = -11. What is the remainder when 38*(-1)/j*1 is divided by r?
5
Suppose a + 7*a = 32. Calculate the remainder when a is divided by 2.
0
Let u = 259 - 188. Suppose 2*p + 3*p = 5, -4*p = k - 22. Calculate the remainder when u is divided by k.
17
Suppose -1 = -m, -3*j - 13 = -0*m - m. What is the remainder when 31 is divided by ((-2)/j)/((-1)/(-22))?
9
Suppose -5*w = -7*w + 16. Calculate the remainder when w is divided by 3.
2
Suppose 5*w = -105 - 35. Let a = w + 43. What is the remainder when a is divided by ((-9)/6)/(3/(-16))?
7
Let p(a) = -4*a + 2. Calculate the remainder when p(-3) is divided by 11.
3
Let o(m) = 11*m**2 + 1. What is the remainder when o(1) is divided by 4?
0
Suppose -41 = -2*z + 3*w, -3*z + 120 - 30 = 5*w. Calculate the remainder when 74 is divided by z.
24
Let i(w) = w**2 - 3*w + 1. Suppose 0 = 2*n + 2*n - 56. What is the remainder when i(3) is divided by 18/n - (-2)/(-7)?
0
Suppose -2*s + 16 = -4*i, 2*s - i - 12 = 2*i. Let f be s + -1 + (0 - 0). Calculate the remainder when 16 is divided by ((-6)/4)/(f/6).
7
Suppose 0 = -5*c + 322 + 83. Let p = c + -48. Calculate the remainder when p is divided by 12.
9
Let y = 79 + -54. Suppose 4*s + 5*f - 36 = f, -2*s = -5*f - y. Calculate the remainder when s is divided by 6.
4
Suppose 2*u + x = 29, -5*u + 3*x - 2*x = -90. Calculate the remainder when 66 is divided by u.
15
Suppose 3*r + 3*s - 125 = 4*s, 5*r + 2*s = 212. Let j(n) = -n**2 - 8*n. Calculate the remainder when r is divided by j(-5).
12
Let z(l) = -5*l - 5*l**2 + 2*l**2 - 11 + 2*l**2 + 2*l**2. Calculate the remainder when 5 is divided by z(7).
2
Let r(k) = k**2 + 8*k - 6. Suppose -60 = 5*a - 15. What is the remainder when 3 is divided by r(a)?
0
Let p = -8 + 12. Suppose 2 - 118 = -p*u. What is the remainder when u is divided by 8?
5
Let b(l) = l**2 - 7*l + 11. Let g(t) = 1. Let z(j) = j - 1. Let k(d) = -3*g(d) - z(d). Calculate the remainder when k(-4) is divided by b(5).
0
Let g = 35 + -25. Suppose 5*q = -d + 4*d + 142, 0 = -5*q + d + 144. What is the remainder when q is divided by g?
9
Suppose -1 = -4*m + 7. Let z = -9 + 27. Calculate the remainder when z is divided by 2*-2*(-5)/m.
8
Suppose 339 = 3*w + 5*t, 2*t = -4*w - t + 441. Calculate the remainder when w is divided by 28.
24
Let h be -1 - (1 + -3 - -4). Let p be (-2)/(-1 - 1 - 0). What is the remainder when 35 is divided by p - (-1)/(h/(-33))?
11
Let n be 9/((-27)/(-12)) + -2. What is the remainder when 39 + n/(-1) - 0 is divided by 19?
18
Let w be (-54)/(-10) + 6/(-15). Suppose -17 + 62 = w*t. Suppose 0 = -0*s - s + t. What is the remainder when 25 is divided by s?
7
Suppose 5*j - 14 = 2*l, 5*l = -5*j - 0*l + 35. What is the remainder when 25 is divided by j?
1
Let t = -493 + 531. Suppose 0 = s + 2*s - 39. What is the remainder when t is divided by s?
12
Suppose -w = -2*w - 8. Let o = 9 + w. What is the remainder when 2 is divided by o?
0
Suppose -370 + 70 = -10*h. What is the remainder when h is divided by 9?
3
Let i be 40/((1 + -2)/(-3)). Suppose -s - 3*s = -i. Suppose h - p - 4 = 0, 0 = -4*h - 2*p + s - 8. What is the remainder when 8 is divided by h?
3
Suppose y = -4*y + 80. Let h be (-4 + 0 + 2)*-2. Suppose -h*d - 5*r = -7*d + 7, 3*d - 11 = 4*r. Calculate the remainder when y is divided by d.
7
Suppose -5*c + 8 = -c. Let d be (3 - -29)*4/c. Suppose 24 = -5*r + d. What is the remainder when 22 is divided by r?
6
Suppose 5*l - 138 = -18. Let a = -42 + 136. What is the remainder when a is divided by l?
22
Let f be 0 + -2 + 2 - 2. Calculate the remainder when f/8 - 18/(-8) is divided by (-3 - 0)*4/(-6).
0
Let j(u) = -u**3 + 5*u**2 + 3*u - 2. Suppose a - 8 = -3. Calculate the remainder when (-2)/(-5) - 113/(-5) is divided by j(a).
10
Let c(p) = p**3 - 17*p**2 + 17*p + 5. What is the remainder when c(16) is divided by 3?
0
Suppose 0 = -5*d + 6*d - 32. What is the remainder when d is divided by 17?
15
Let z(q) = q + 7. Let s be z(7). Let c = -2 + s. Suppose 6*j = 2*j + 88. What is the remainder when j is divided by c?
10
Suppose -5*j = -3*o + o - 15, -3*j + o = -9. What is the remainder when 27 is divided by j?
0
Suppose 124 + 27 = -3*u - m, -2*u - 118 = 5*m. Let w = -14 - u. Calculate the remainder when w is divided by 12.
11
Let x(k) = k**3 - 9*k**2 + 16*k + 5. Calculate the remainder when x(9) is divided by 38.
35
Let z = -85 + 58. Let b = -43 - z. What is the remainder when (1 + b)*(-54)/45 is divided by 10?
8
Let o = 187 - -12. What is the remainder when o is divided by 40?
39
Suppose -2*r = -2*m - 110, 2*r = 5*r - 5*m - 157. Suppose 2*x + 0*a = 4*a + 44, -a + 59 = 3*x. Calculate the remainder when r is divided by x.
19
Let n be (1 - 2)*(-7)/(-1). Let o = 2 - n. Calculate the remainder when 16 is divided by o.
7
Let p be 21/7 + 0 + 114. Let y = p - 80. Calculate the remainder when y is divided by 10.
7
Let d(w) = -21*w**3 + w**2 + w + 1. What is the remainder when 85 is divided by d(-1)?
19
Let b(s) = 2*s**2 - 3*s + 6. Suppose -19 + 95 = 4*g - 4*t, -71 = -4*g + 3*t. What is the remainder when b(4) is divided by g?
12
Suppose 6 = l + 1. Suppose 2*c + 31 = 5*b, 10 = -2*c - 3*b + 3. Let m = c - -10. Calculate the remainder when l is divided by m.
1
Suppose -4*k = y - 119, 3*k - 120 + 7 = 4*y. Let s = -3 - 17. Let p = s + 36. Calculate the remainder when k is divided by p.
15
Let j(a) = a**3 - a**2 - a - 4. Calculate the remainder when 54 is divided by j(3).
10
Suppose 3*p + d = 5*d + 7, 2 = -2*d. Calculate the remainder when 17 is divided by p*18*(-3)/(-6).
8
Suppose 6*k - 48 = -0*k. Calculate the remainder when k is divided by 3.
2
Suppose -3*d + 7 - 186 = -4*u, -5*d = 5*u - 180. Calculate the remainder when u is divided by 16.
9
Calculate the remainder when 12 is divided by -4 - -6*(-4)/(-3).
0
Let f = 14 - -25. Suppose 3*k = -0 + f. What is the remainder when 51 is divided by k?
12
Let x be ((-16)/(-20))/((-4)/(-10)). Suppose 3*w - 32 = -4*p - x*w, 0 = -5*p + 2*w + 7. Suppose 2*z + 3*z = 10. What is the remainder when p is divided by z?
1
Let b = -3 + 10. Let d = 9 - b. What is the remainder when 6 is divided by (7 - 3)/(d + -1)?
2
Let f(j) = 0*j - 10*j + 0*j + j. What is the remainder when 53 is divided by f(-2)?
17
Suppose -4*b = -b - 105. Suppose 2*y + 8 = 5*x + 50, 0 = y + x - b. Let m = 18 - 7. Calculate the remainder when y is divided by m.
9
Suppose 4 = -4*o, 5*o - 17 = 3*r - 85. Suppose -5*p + 21 = -3*h + 7*h, 0 = 3*p - h - 16. Suppose 123 = -2*a + p*a. What is the remainder when a is divided by r?
20
Suppose 2*l = 6*l - 328. Calculate the remainder when l is divided by 12.
10
Suppose -4*k - 4 = -28. Suppose -2 = -3*o - w, -2*w + k = -5*o - 6*w. What is the remainder when 6 is divided by o?
0
Let h(c) = -c - 5*c**2 + 3*c**3 - 8 - 2*c**3 + 0*c. What is the remainder when h(6) is divided by 12?
10
Let i(f) = f**3 - 2*f**2 - 15*f + 15. Calculate the remainder when i(5) is divided by 5.
0
What is the remainder when (7/21)/((-1)/(-96)) is divided by 11?
10
Let s be 2/8 - (-45)/(-20). What is the remainder when (-4)/(-18) + (-68)/(-18) is divided by (s + 4)*3 + -3?
1
Suppose -5*k + 127 - 22 = 0. What is the remainder when 80 is divided by k?
17
What is the remainder when -2 - (1 - 58)/1 is divided by 14?
13
Suppose -558 = -4*p - 2*z, 8 = -5*z + 23. Calculate the remainder when p is divided by 35.
33
Let s = 0 + 29. Suppose 5*v = -3*j + 10, 12*j = 11*j - 4*v - 6. Calculate the remainder when s is divided by j.
9
Suppose -4*d - 20 = 4*z, 4 = -0*z - 2*z. What is the remainder when 1*(3/d + 38) is divided by 13?
11
Let n = 17 - 6. Calculate the remainder when 87 is divided by n.
10
Suppose 0 = 3*q + 6 + 6. Let z be (-422)/(-4) + (-2)/q. Suppose -2*p - 2*v + 19 + 25 = 0, -5*p - v = -z. What is the remainder when p is divided by 11?
10
Suppose 5*b - 3*z + 15 = -37, 2*z - 40 = 4*b. Let o = b + 12. Calc