se -4*l + z = -l. Suppose -l*n + 80 = 2*n. What is the remainder when n is divided by 9?
7
Suppose 2*t - 7*t + 115 = 0. Calculate the remainder when 87 is divided by t.
18
Let v(z) = z**3 - 6*z**2 + 5*z + 5. Let q be v(5). What is the remainder when 1 is divided by 7/q + 8/(-20)?
0
Let c(y) = y**3 - 3*y**2 - 3*y. Let i be c(4). Suppose -4*x + v = -0*v - 21, 0 = i*x + 4*v + 4. Let a = 1 + 2. Calculate the remainder when x is divided by a.
1
Let z(x) = -x**2 + 9*x - 2. Let v(i) = i**2 + 5*i - 2. Suppose -5*o - 16 = 14. Calculate the remainder when z(8) is divided by v(o).
2
Let k(z) = 13*z - 9*z + 2 - 1 + z**3 - 4*z**2. Let c be k(3). Suppose 3*j - c*j + 27 = 0. What is the remainder when 52 is divided by j?
25
Let j be (-3)/(-2) + 15/6. Suppose 2*u + 3*l = j*l + 27, 0 = 4*u + 2*l - 74. Let y = u + 6. Calculate the remainder when 65 is divided by y.
21
Let l(r) = 3*r**2 + 4*r. Let u be l(3). Suppose -o + 4*q = -19, -3*o - q + u = -4*q. What is the remainder when -16*(2 + (-13)/4) is divided by o?
9
Let b = 174 + -68. What is the remainder when b is divided by 23?
14
Let d(q) = q**2 - 4*q + 10. Calculate the remainder when d(9) is divided by 14.
13
Suppose 0 = 3*o - 32 - 1. Calculate the remainder when 54 is divided by o.
10
Suppose 10 + 11 = 3*z. What is the remainder when 10 is divided by z?
3
Let v(u) = u**2 - 2*u - 9. Let s be v(-6). Let g = s + -26. What is the remainder when g is divided by 5?
3
Let o(t) be the first derivative of -t**2 - 3*t - 2. Calculate the remainder when o(-4) is divided by 4.
1
Let o = 6 + -3. Suppose 4*r - o - 13 = 0. What is the remainder when 7 is divided by r?
3
Let g(d) = -d**3 + 10*d**2 - d - 2. Let c be g(10). Let n = -2 - c. Let t = 36 + -8. What is the remainder when t is divided by n?
8
Let z = -18 - -78. Calculate the remainder when 419 is divided by z.
59
Suppose 3*g + g + 2*j - 126 = 0, -2*g = -5*j - 69. Calculate the remainder when g is divided by 11.
10
Suppose 0 = -5*k + 4*k + 10. Suppose 21 = -8*w + 53. What is the remainder when k is divided by w?
2
Let j = -14 - -29. Let v = -5 + 0. What is the remainder when (14/v)/((-1)/10) is divided by j?
13
Suppose -13 = -z - 1. What is the remainder when 46 is divided by z?
10
Suppose 0 = -4*d + m - 16, -d + 3*m + m - 4 = 0. What is the remainder when 6 is divided by d/(-4) - -3*1?
2
Suppose -5*u + 6 + 9 = 0. Suppose 2*j - 21 = -5. What is the remainder when j is divided by u?
2
Let q be (-14)/(-4) - 7/14. Suppose q*a = 11 + 55. What is the remainder when a is divided by 12?
10
Suppose -3*u = -a + 10 + 44, a + 5*u = 46. What is the remainder when a is divided by 13?
12
Let v = 0 + 4. What is the remainder when 7 is divided by v?
3
Suppose 4 = x + 3, -2*x = 4*r - 62. Calculate the remainder when 58 is divided by r.
13
Suppose 5*w = 8*w - 24. Suppose -3*x + 28 = 2*o, 3*o = -0*o + 3*x + 57. Let u = o - w. What is the remainder when 16 is divided by u?
7
Let x(l) = -l**3 - 8*l**2 - 11*l - 8. Suppose 4*u = 5*o + 280, 3*u + 4*o - 112 = 98. Calculate the remainder when x(-7) is divided by 6/(-9) - u/(-6).
9
Calculate the remainder when 3 + -3 - (-1*33 + 2) is divided by 8.
7
Suppose 3*v + 3 = 2*v. Calculate the remainder when v - (-2 - (2 - -36)) is divided by 13.
11
What is the remainder when 71 is divided by 2 + (-8)/5 + 236/10?
23
Let y = 43 - 26. Suppose 4*z = 6*z - 188. Suppose -4*p + 104 = 5*d - 57, -3*d - 5*p + z = 0. Calculate the remainder when d is divided by y.
16
Calculate the remainder when 63 is divided by (34/(-4))/((-10)/20).
12
Let b = 4 - -5. Let i = b - -1. Calculate the remainder when 38 is divided by i.
8
Let c(g) = -g**3 + 6*g**2 + g. Suppose 3*z = 6*z - 39. Calculate the remainder when c(4) is divided by z.
10
Suppose 0 = 4*i - 4*c + 16, 3*i + 0*i + 28 = -5*c. Let o = -4 - i. Suppose 0*t = 2*t - 4*m + 12, 0 = 4*t - 2*m. What is the remainder when t is divided by o?
0
Suppose -h - 15 = -6*h. Suppose 7*y = -4*z + 2*y + 35, h*z - 2*y - 32 = 0. Calculate the remainder when z is divided by 6.
4
Let v = 8 - -13. What is the remainder when v is divided by 6?
3
Let v(o) = -20*o + 6. Let p(q) = 2*q + 3. What is the remainder when v(-1) is divided by p(6)?
11
Suppose 3*s + 2*w = 3, 0 = -3*s - 4*w - w - 6. Suppose k + 2*x - 6*x = 30, 30 = s*k + 3*x. What is the remainder when k is divided by 4?
2
Calculate the remainder when 10 is divided by (-12)/18 + (-28)/(-6).
2
Let s be (-9 + 13)/(1 + 1). Suppose 2*h + 25 = s*l - 7, 5*l - 3*h = 76. What is the remainder when 41 is divided by l?
13
Let x = 9 + -6. Suppose 3*g = 5*s - 0*s + 12, 0 = -x*g + 2*s + 21. What is the remainder when 26 is divided by g?
8
Suppose 2 = 4*k + 18. Let u = 7 - k. Calculate the remainder when u is divided by 4 + -2 + -2 + 4.
3
Suppose -4*z - 130 = -3*t, 2*z + 15 = 5*z. What is the remainder when t is divided by 13?
11
Let h = 27 - 1. What is the remainder when h is divided by 12/(-8) + (-42)/(-4)?
8
Let h(k) = 3*k**2 - k. What is the remainder when 10 is divided by h(-1)?
2
Let g = -32 - -83. What is the remainder when g is divided by 18?
15
Let h(g) = 6*g**2 + 3*g + 1. Calculate the remainder when h(-2) is divided by 5.
4
Let a(m) = 6*m - 7. What is the remainder when 85 is divided by a(6)?
27
Let r = 1 - 1. Suppose r = -4*t + t. Suppose -2*a - 3*f + 0 + 15 = t, -19 = -2*a + f. What is the remainder when 16 is divided by a?
7
Let t be ((-1)/3)/((-2)/18). Let w(i) = 2 + 2 - t*i - 2. What is the remainder when w(-2) is divided by 5?
3
Let n(j) = 4*j**2. Let m be ((-1)/3)/(7/21). Let t be n(m). Suppose -t*l = l + w - 115, -w = 0. What is the remainder when l is divided by 12?
11
Let k = 32 + -15. Let v = 28 - k. Calculate the remainder when 19 is divided by v.
8
Suppose -2*r + 3*r - 2 = 0. Suppose -l = -4*x - 23, l + 6*x = 3*x + 37. What is the remainder when l is divided by 12 - 3 - r*-1?
9
Let g be 0/3 + 6 + 1. Calculate the remainder when 23 is divided by -2*g/((-14)/12).
11
Let m(w) = -w. Let q be m(0). Let r = 4 + q. Suppose 16 = g + r. Calculate the remainder when 34 is divided by g.
10
Let z(j) = -8*j + 20. Calculate the remainder when z(-20) is divided by 26.
24
Let r(s) = 3*s + 3*s - 5*s. Let b be r(3). Suppose -2*u + 5*o + b = -1, -5*o = u - 32. What is the remainder when 34 is divided by u?
10
Let w = 27 - 14. Calculate the remainder when 50 is divided by w.
11
Suppose 2*d = 7*d - 165. Let v = d - 19. What is the remainder when 1*(3 + 35 + 2) is divided by v?
12
Suppose 5*d + 4 = 34. Suppose -2*b = -d - 10. Let u(l) = -5*l - 2. Calculate the remainder when u(-5) is divided by b.
7
Calculate the remainder when 27 is divided by ((-52)/8 - -4)*28/(-10).
6
Let q(w) = -3*w + 15. Let b be q(11). Let m = 29 + b. What is the remainder when m is divided by 4?
3
Let j = 14 - -6. Suppose -4 = -5*k - s, -k = -0*k + 5*s - j. Suppose -3*b - 2*h - h + 159 = k, 222 = 4*b - h. Calculate the remainder when b is divided by 19.
17
Let n(o) = -o**2 + 7*o - 1. Let x(c) = 3*c - 2. Let r be x(4). Suppose a = 16 + r. Calculate the remainder when a is divided by n(5).
8
Let t be 10/15 - 110/3. Let v = -12 - t. Calculate the remainder when 47 is divided by v.
23
Let v(h) = -2*h**3 - 6*h**2 - 6*h + 4. Calculate the remainder when 40 is divided by v(-3).
18
Suppose 0 = -5*i - r + 280 + 250, 0 = -2*i - 2*r + 212. What is the remainder when i is divided by 12?
10
Suppose 0 = 3*i - 5*i - 2. What is the remainder when 3/(-1 + 2) + i is divided by (-1*1)/(2/(-4))?
0
Let y(b) = 5*b**2 - 3*b + 5. Let f(m) = -2*m**2 + 2*m - 3. Let n(v) = 5*f(v) + 3*y(v). What is the remainder when 22/2 - (3 - 2) is divided by n(-1)?
2
Let c = -38 - -54. Let h = -5 + 3. Calculate the remainder when (552/(-30))/(h/5) is divided by c.
14
Let g = 109 - 77. Suppose 0 = 5*i + 3 - 58. Calculate the remainder when g is divided by i.
10
Suppose 16 + 44 = 3*d. Let s = d - 7. What is the remainder when 64 is divided by s?
12
Suppose -2*u + 40 = 2*t, 2*t + 12 = 3*t - u. Calculate the remainder when 76 is divided by t.
12
Let l(r) = -2*r**2 + 15*r + 5. What is the remainder when 57 is divided by l(5)?
27
Suppose 0 = -3*t - 0*t + 15. Suppose t*i + 2*r - 5 = 1, 2*i - 10 = 3*r. Suppose i*b - 3*b + 8 = 0. Calculate the remainder when 23 is divided by b.
7
Suppose 355 = 4*y + 103. Calculate the remainder when y is divided by 16.
15
Let m = 