x = -16 + 4. Let y = 24 + x. What is the remainder when y is divided by 7?
5
Let a = -1 - -1. Suppose -3*y + a*y = 144. Calculate the remainder when 10 is divided by y/(-9) - 4/(-6).
4
Suppose -22 = -2*n - 5*p, -p - 3*p = -5*n + 55. Let h = n + -6. Suppose -t = -4*u + 43, -3*t + 65 = h*u - 2*t. Calculate the remainder when 22 is divided by u.
10
Let t be (30/25)/(4/10). Suppose 4*h = -5*b + 57, -5*b + 24 + 30 = t*h. Suppose 0 = 2*k - 16 - 52. Calculate the remainder when k is divided by b.
7
Let z(p) = p**3 + 9*p**2 + 5*p - 8. What is the remainder when 46 is divided by z(-8)?
14
Let w = 43 + 114. Calculate the remainder when w is divided by 16.
13
Suppose 2*p + 245 = 4*l + p, -179 = -3*l - 4*p. Suppose 0 = z - 3*z + 62. What is the remainder when l is divided by z?
30
Let s be (-10)/35 + 1004/(-14). Calculate the remainder when 9 is divided by (1/3)/((-4)/s).
3
What is the remainder when (0 + -12)*(-15)/6 is divided by 16?
14
Let h(l) = -l**3 + 6*l**2 - l + 2. Let w = -7 - -11. What is the remainder when h(w) is divided by 11?
8
Let f(l) = -l**2 + l + 21. Let x be (-9)/3 - -2 - -7. Suppose 5*v + i = 50, 2*i + x + 37 = 3*v. What is the remainder when f(0) is divided by v?
10
Suppose 22 = 7*j - 5*j. Calculate the remainder when j is divided by 5.
1
Let u = 121 - 31. Suppose -2*r - 145 = 3*r. Let i = r + 52. Calculate the remainder when u is divided by i.
21
Let g be (-129)/(-27) - (-2)/9. Calculate the remainder when 19 is divided by -2 - (3 + g)*-1.
1
Let g be 70/(-22) - (-4)/22. Let j be g + 1 - (-1 - 2). Calculate the remainder when 24 + (0 - 2)/j is divided by 8.
6
Suppose -2*h = 2*y - 16, -4*h = 2*y - 5*y + 52. Suppose -32 = 8*z - y*z. What is the remainder when 31 is divided by z?
7
Suppose 2*o + 4*n - 44 = 0, -o + 3*n = 3*o - 77. Calculate the remainder when o is divided by 7.
6
Let c = 15 - 9. Calculate the remainder when 32 is divided by ((-2)/c)/(2/(-66)).
10
Let h = -12 + 20. Suppose h*n = 4*n + 44. What is the remainder when n is divided by 7?
4
Let w(l) = 3*l + 2. Calculate the remainder when 22 is divided by w(2).
6
Let d be ((-10)/4)/(7/(-14)). Suppose -2*n + 255 = d*f, -3*f = 2*f - 3*n - 280. Calculate the remainder when f is divided by 18.
17
Let d(i) = i**3 - 6*i**2 + 4. Suppose 14 = 5*j - v - 19, -j = v - 3. Let n be d(j). Suppose -65 = -n*t - t. Calculate the remainder when 24 is divided by t.
11
Let x(r) = -r**3 - 3*r**2 + 3*r. Let v be x(-4). Suppose 6 = -c + v*c. What is the remainder when 3 is divided by c?
1
Let b(w) = w**2 - w - 9. What is the remainder when b(5) is divided by 6?
5
Suppose 2*i - 72 = -2*i. Let m(t) = -t**3 + 7*t**2 - 5*t + 4. What is the remainder when i is divided by m(6)?
8
Let q(t) = 2*t - 5. Suppose z - 4 = 2. Suppose 5*w - 68 = -v, 49 = 4*w + 2*v - 3*v. Calculate the remainder when w is divided by q(z).
6
Let p = -2 - -13. Let l(x) = -x**3 + 35*x**2 - 62*x - 100. What is the remainder when l(33) is divided by p?
10
Let w(n) = n**2 + 3*n + 5. What is the remainder when 113 is divided by w(-6)?
21
Suppose 2*l - 2*a = 36, 5*a + 1 - 13 = -l. Let x be 5 + -6 - (7 + 1). Let r = x + 59. Calculate the remainder when r is divided by l.
16
Let w(g) = g**2 + 6*g - 13. What is the remainder when 55 is divided by w(-9)?
13
Calculate the remainder when 4/(-5)*(-3 + -17) is divided by 7.
2
What is the remainder when 51 is divided by ((-468)/(-65))/(4/10)?
15
Suppose -5*z - 4*c = -c - 125, 0 = -z - 2*c + 25. Suppose 2*n - 3*n - 244 = -5*g, 3*n - 150 = -3*g. What is the remainder when g is divided by z?
24
Suppose -3*r - r = -72. Suppose 0 = -7*f + 4*f + r. Calculate the remainder when 15 is divided by f.
3
Let a = 9 + -7. Calculate the remainder when 6 is divided by a.
0
Let i be (-5)/((-5)/3) + 1. Suppose i*s - 3*v = 53, 0 = -v + 2 - 5. What is the remainder when 31 is divided by s?
9
Suppose 4*t = 2*w, -4*w - 2*t + 5*t + 25 = 0. Calculate the remainder when w is divided by -2 + 2 + -2 + 6.
2
Calculate the remainder when 119 is divided by 4/(-22) - (-4958)/407.
11
Let f(u) = -u**3 - 16*u**2 - 16*u + 15. What is the remainder when 147 is divided by f(-15)?
27
Calculate the remainder when 455/49 - 2/7 is divided by 3.
0
Let i = -14 - -17. Calculate the remainder when (-5 + i + 33)*1 is divided by 11.
9
Let c(y) = y**3 + 5*y**2 - 5*y + 8. Let r be c(-6). Suppose t - 10 = -4*t. Suppose r*n - 68 = -t*n. Calculate the remainder when n is divided by 9.
8
Let t(w) be the third derivative of w**5/60 - w**3/3 - 4*w**2. Calculate the remainder when t(3) is divided by 3.
1
Suppose -5*f + 43 = 3*c, 0 = 4*f - 7*f - 3. Let v = c - 8. What is the remainder when v is divided by 5?
3
Let v be 70/(-3) + (-1)/(-3). Let m = v - -47. Suppose a + b + b = 8, -3*a + m = -b. What is the remainder when 23 is divided by a?
7
Let h = -3 + 86. What is the remainder when h is divided by 23?
14
Let t = -8 - -24. Suppose 2 = 5*j - 3. What is the remainder when t is divided by 9 - j - (0 - -2)?
4
Let c(j) = -46*j. Calculate the remainder when c(-2) is divided by 47.
45
Suppose 36 = 5*q - 74. Suppose 5*o + 15 = 0, 3*o + 33 = a + a. Calculate the remainder when q is divided by a.
10
Suppose -2*v - 14 = -166. Let s(f) = 6*f**2 - f + 1. Calculate the remainder when v + 1 + 2 + 0 is divided by s(-2).
25
Suppose 0 = -2*d - 11 + 13. Let q(a) = a**2 - a + 1. What is the remainder when q(2) is divided by d?
0
What is the remainder when (-4)/14 - 768/(-42) is divided by 5?
3
Let l(b) = 3*b + 1. Calculate the remainder when (-2)/4*(-266)/7 is divided by l(3).
9
Suppose -5*k - 10 = -5*q + 60, 3*q = k + 48. What is the remainder when 99 is divided by q?
14
Let k(q) = -1 + 0*q**3 + 0*q**3 + q**3 + 7*q**2 - 1 - q. Let z = 1 + -8. What is the remainder when k(z) is divided by 3?
2
Suppose -18 = 2*j - 92. Calculate the remainder when j is divided by -2 + 2 + 11 + 2.
11
Let m = -27 - -51. Let s = 116 + -45. What is the remainder when s is divided by m?
23
Let r(n) = -n**3 - n + 4. Let o = 40 - 14. Suppose -2*m - 8 = -o. What is the remainder when m is divided by r(0)?
1
Suppose 8 + 9 = 2*k - 3*i, 0 = -5*k + i + 10. Calculate the remainder when 5 is divided by k.
0
Let t(h) = 20*h + 3. Calculate the remainder when t(1) is divided by 9.
5
Let n(o) = o**2 - 21*o + 115. Suppose 0 = -v - 3*v + 48. Calculate the remainder when 0/(2 + -1) + v is divided by n(9).
5
Suppose -5*x - 50 = -b, 10*x - 200 = -4*b + 5*x. What is the remainder when b is divided by 17?
16
Let a = 53 + 54. What is the remainder when a is divided by 27?
26
Suppose l + 5*z = z - 2, -2*z = 4. Let t(w) = w**3 - 31*w**2 + 28*w + 64. What is the remainder when l is divided by t(30)?
2
Let v = 12 - 8. Suppose -l + v*g + 10 - 2 = 0, 82 = 5*l + g. Calculate the remainder when l is divided by 9.
7
Let n(k) = -5*k**3 - 3*k + 4*k**2 - 3 + 6*k**3 + 0*k**3. Let d(r) = 2*r**2 - 5*r + 8. What is the remainder when d(5) is divided by n(-4)?
6
Let m(u) = u**2 - 9*u + 12. Let p(o) = 7*o**3 - 1 + o + o + 0*o. Let h be p(1). What is the remainder when 10 is divided by m(h)?
2
Let n = -26 + 30. What is the remainder when 31 is divided by n?
3
Suppose 0*x + 16 = 4*x, -3*u - 5 = -5*x. Calculate the remainder when 31 is divided by u.
1
Suppose -2*p - 2*p = 2*l - 96, 3*l = 6. Suppose 4*o + 2*n = 214 + 138, -12 = 3*n. Calculate the remainder when o is divided by p.
21
What is the remainder when 9 is divided by 3/9 - 22/(-6)?
1
Let b be 2/(-8) - 70/8. Let s(v) = -v**3 - 4*v**2 + 5*v + 4. What is the remainder when s(-5) is divided by (-8)/(-3) + 6/b?
0
Suppose 6*i - 274 = -64. What is the remainder when i is divided by 12?
11
Let p = -53 - -93. Suppose 80 = 2*k - p. What is the remainder when k is divided by 16?
12
Let c(f) = f - 2. Let z be c(6). Suppose 0 = -z*u + 2*u + 32. Let j = -8 - -14. Calculate the remainder when u is divided by j.
4
Let b(c) = 4 + 19*c**2 - 6*c - 13*c**2 - 3 - c**3. Let q be 1*-3*(-12)/9. What is the remainder when 16 is divided by b(q)?
7
Let a be (-2 + 3 - 0)*-1. What is the remainder when 67 is divided by (3 - -14) + a + 1?
16
Suppose 13 = 6*r - 5*r. What is the remainder when (2 + -6)*(-25)/2 is divided by r?
11
Suppose 3*n - 1 - 17 = 0. Let u = 23 + n. What is the remainder when u is divided by 118/8 + 1/4?
14
Let m(u) = u**3 + 2*u**2 + u + 69. What is the remainder when m(0) is divided by