 remainder when 27 is divided by z.
12
Suppose -s = 5*n - 4*s - 22, -12 = 4*n + 5*s. Suppose c = -p + n, 6 = 2*c + c + 5*p. Calculate the remainder when (-1)/(-4) + (-15)/(-4) is divided by c.
0
Suppose 5*j - 435 = 150. What is the remainder when j is divided by 40?
37
Let k = -1 + 7. Suppose -h - 4*u + 34 = 9, -4*h + 4*u = 0. Suppose 0*i - h*i = -85. Calculate the remainder when i is divided by k.
5
Suppose 3*j = -j - 360. Calculate the remainder when (j/(-9))/(2/4) is divided by 6.
2
Let r be (-1 - 1)*6/(-3). Suppose -3 = 5*l - r*k, -k + 6 = l + 3. Calculate the remainder when l - (2 - 10)*2 is divided by 9.
8
Suppose d = -4*d. Suppose -7*m + 3*m = -12. Suppose -k + d*k + 24 = 5*j, -24 = -m*k - 3*j. What is the remainder when 7 is divided by k?
3
Let p(s) = 6*s - 58. Calculate the remainder when p(13) is divided by 14.
6
Suppose -5*h = -3*h. Let a(x) = -x + 10. What is the remainder when 17 is divided by a(h)?
7
Let m(v) = v**2 + 2*v - 1. Let k = -1 + 4. Calculate the remainder when k is divided by m(-3).
1
Suppose 0 = 3*c - 2*c, 0 = -5*b - c. Suppose b = -4*d + 33 + 27. What is the remainder when d is divided by 9?
6
Suppose 3*k - 5*x = 62, 5*k + 0*k - 2*x = 116. What is the remainder when k is divided by 9?
6
Let t(f) = 2*f**3 - f**2 - 3*f + 2. Suppose 0*u - u - 11 = -5*o, 9 = 5*o + u. Let l = 22 + -7. Calculate the remainder when l is divided by t(o).
7
Let u(g) = -g**2 - 5*g - 2. Suppose 0*j - 9 = 3*j. Calculate the remainder when u(j) is divided by 2.
0
Let s = 2 + 1. Suppose -s*o + 7*o = 44. What is the remainder when 21 is divided by o?
10
Suppose 0 = 5*u - o - 25, 2*u - 4 = 2*o + 6. Suppose 0 = -g + u*t, -5*t = g + g - 30. What is the remainder when g is divided by 4?
2
Suppose 5*u + 3*c = 355, c = -0*u - 2*u + 143. Calculate the remainder when 57 is divided by 9/45 - u/(-5).
12
Let l = -3 - -8. Suppose 0 = x - l. Calculate the remainder when 17 is divided by x.
2
Let o be (6/(-9))/((-2)/195). Suppose 0 = -2*z + 3*f + o, 4*z - z = f + 94. What is the remainder when 58 is divided by z/2 + (-4)/8?
13
Let w(n) = 40*n + 3. What is the remainder when w(2) is divided by 23?
14
Suppose -4*f = -7*f + 3. Let w(c) = 3*c**2. What is the remainder when 8 is divided by w(f)?
2
Let y(j) = 23*j - 3. Calculate the remainder when 75 is divided by y(1).
15
Let b(q) = -6*q**2 - 4 - 2*q + 5*q + 12 + q**3 - 2*q. What is the remainder when 39 is divided by b(6)?
11
Calculate the remainder when 79 is divided by (4 + (-66)/18)/(3/126).
9
Let m = 3 + -8. Let w(z) = -z**3 - 5*z**2 - 3*z - 4. Calculate the remainder when 19 is divided by w(m).
8
Let i = 22 + 3. Suppose -5 - 5 = -5*k. Suppose 0 = 6*v - k*v - 52. Calculate the remainder when i is divided by v.
12
Suppose -x = -6*x. Let o = 26 - 19. Let j = x + o. Calculate the remainder when 13 is divided by j.
6
Let w = -8 - -32. What is the remainder when w is divided by 12 + -3*3/(-9)?
11
Let u(x) be the first derivative of -x**3/3 + 9*x**2/2 + 3*x - 4. Calculate the remainder when 53 is divided by u(8).
9
Let r(w) = 3*w + 21. Let b be r(-7). Let g = 13 - b. Calculate the remainder when 75 is divided by g.
10
Suppose -4*b + 4 + 4 = 0. Let g(u) = 4*u. Let n be g(1). Suppose -b*f - 5*l + 17 = 0, 4*l - 5*l = n*f - 7. What is the remainder when f is divided by 1?
0
Let t(f) = -f**2 - 7*f + 16. Suppose 0 = 2*k - k - 39. Calculate the remainder when k is divided by t(-8).
7
Let c(i) = 4*i + 6. Calculate the remainder when c(5) is divided by 7.
5
Suppose -x + 92 = 2*x - 4*f, 146 = 5*x - 3*f. Let z = 4 + x. What is the remainder when z is divided by 104/6 + 2/(-6)?
15
Let x be -2*(2 - (6 - 2)). Let k be 24/9*75/x. Calculate the remainder when 25 is divided by k/4 + 2/4.
12
Let p(a) = -4 + 6*a**3 + a - 6*a**3 + 7*a**2 + a**3. Calculate the remainder when p(-5) is divided by 22.
19
Let c = 4 + -3. Let n be (-2 + 3)/((-2)/(-2)). Calculate the remainder when 10 is divided by 4 + n + -2 + c.
2
Suppose 3*d = 2*l + 33, 10*d - 5*d + 4*l = 55. Calculate the remainder when 73 is divided by d.
7
Suppose 5*j = -5*j + 750. Calculate the remainder when j is divided by 10.
5
Let g = 70 + -57. Calculate the remainder when 2/7 + 528/14 is divided by g.
12
Let i(g) = g**2 + 3*g - 3. What is the remainder when 13 is divided by i(2)?
6
Suppose 4*i - 2*t - 3*t - 18 = 0, 36 = 4*i + 4*t. Calculate the remainder when 33 is divided by i.
5
Let q = 254 + -251. Let j(c) = -c**3 + 4*c**2 + 8*c + 5. Let t be j(6). Let s = t - -30. What is the remainder when s is divided by q?
2
Suppose 9*x - 30 = 7*x. Calculate the remainder when 57 is divided by x.
12
Suppose 0 = v + 3*q - 3 - 17, -v + 22 = 2*q. Let n = v + -13. Calculate the remainder when 36 is divided by n.
10
Let h(u) = -2*u**2 - 14*u - 4. What is the remainder when h(-6) is divided by 6?
2
Suppose 37 + 14 = 3*m - 3*h, -5*m - 3*h = -61. What is the remainder when 27 is divided by m?
13
Let l = -21 - -126. What is the remainder when l is divided by 27?
24
Let x = -60 - -135. Let d = 51 - 32. Calculate the remainder when x is divided by d.
18
Let i(u) = u - 6. Let s be i(6). Suppose q + s*q = 7. What is the remainder when 41 is divided by q?
6
Let c(x) be the third derivative of -x**4/24 + 7*x**3/6 - 3*x**2. Calculate the remainder when 22 is divided by c(-5).
10
Let n(k) = 13*k. Let r(o) = -o. Let f(c) = -3*n(c) - 15*r(c). Let i(v) = v**2 + v + 1. What is the remainder when f(-1) is divided by i(3)?
11
Calculate the remainder when 23 is divided by (0 + 4)/(-4) + 8.
2
Let q = -40 + 63. Calculate the remainder when 89 is divided by q.
20
Suppose -3*z + 63 = 3*q, -4*q = 5*z - 69 - 16. Calculate the remainder when q is divided by (7/(-6))/((-21)/126).
6
Suppose s - 3*s - 3*v + 39 = 0, s - 27 = -4*v. What is the remainder when 37 is divided by s?
7
Let s(h) = 11*h**3 - h + 1. Suppose 4*r = -r + 4*d + 21, -5*r + 3*d + 17 = 0. Calculate the remainder when 42 is divided by s(r).
9
Let n(g) = 2*g**3 + 3*g - 3. Suppose -4*v + 4*u = 3*u - 3, 2*v + u - 9 = 0. Calculate the remainder when (-1)/(6/74)*-3 is divided by n(v).
18
Let v = -81 + 123. What is the remainder when v is divided by 12?
6
Let r(n) = -16*n - 7. Let u be r(-3). Let y = 38 + u. What is the remainder when y is divided by 20?
19
Let z = 76 - -22. What is the remainder when z is divided by 17?
13
Suppose 0 = 3*j - 0*j + 9, 0 = 4*z - j - 695. Let a = -4 - -6. Suppose a*t + 3*t - l - 223 = 0, -z = -4*t - l. Calculate the remainder when t is divided by 15.
14
Suppose -q + 5*w = -3, -2*q = 5*w - 50 - 1. Let x = -5 + q. Calculate the remainder when 49 is divided by x.
10
Let g(n) = n**2 + 2*n - 4. Let a(t) = -t. Let y be a(-4). Suppose c = y*c - 33. What is the remainder when g(-7) is divided by c?
9
Let n be (-4)/(-10) - 8/(-5). Suppose 2*c + w - 12 = -0*w, 3*c + n*w = 18. What is the remainder when 17/(1 - 2)*-1 is divided by c?
5
Suppose 0 = 4*h - 3*h + 4, -w - h = -3. Calculate the remainder when 0 + (18 - -1 - 0) is divided by w.
5
Suppose 0*k + k - 3 = 0. Suppose t + 3*q - 16 = 0, -t + k*q - 30 = -4*t. Calculate the remainder when t is divided by 4.
3
Let j = 491 - 453. Suppose -1 + 14 = v. Calculate the remainder when j is divided by v.
12
Suppose -13 - 17 = -5*m + 4*r, -4*m + 5*r + 24 = 0. What is the remainder when 58 is divided by m?
4
Suppose 5*p = 4*z - 2, -11 = -p + 5*z - 3. Let a be (0 - -1) + -7 + p. Let o = a + 36. What is the remainder when 55 is divided by o?
27
Let q(g) = g**3 + 4*g**2 + 2*g - 2. Let f be q(-3). Suppose j + 6 = -f. Let l = 8 - j. Calculate the remainder when 27 is divided by l.
12
Let m(b) = 11*b**2 + 8*b + 7. Calculate the remainder when 33 is divided by m(-1).
3
Let d = -2 - -3. Calculate the remainder when 12 is divided by d*-14*(-5)/10.
5
Let c(f) = f**2 + 3*f - 6. What is the remainder when 46 is divided by c(3)?
10
Let l(m) = m - 13. Calculate the remainder when l(22) is divided by 5.
4
Let y(q) = -q**3 + q**2 + q + 35. Let s be y(0). Let w = s + -21. Calculate the remainder when 41 is divided by w.
13
Suppose -5*p = 2*r - 4*p - 29, -r + 3*p = -4. What is the remainder when 128 is divided by r?
11
Suppose 0 = -0*w + 3*w. Suppose 132 = 4*u - w*u - 4*h, h = -1. Suppose 4*a + 2*n - u = 0, 6*a - a + 2*n = 39. What is the remainder when 20 is divided by a?
6
Let x(o) = 6*o**2 - o + 1. Suppose 80 = 5*k +