11
Let l be 4/(-6) + 65/(-15). Let n(f) = f**2 - 6*f + 6. Calculate the remainder when n(l) is divided by 32.
29
Let t(i) = 4*i**2 + 3*i - 8. Calculate the remainder when t(-5) is divided by 20.
17
Let h = -31 - -79. Suppose -16*w + h = -12*w. What is the remainder when 20 is divided by w?
8
Let w(y) = -4*y + 14. What is the remainder when 84 is divided by w(-2)?
18
Let w = 1 + 1. Let u = w + 0. Suppose -9*l = -5*l - 4. What is the remainder when u is divided by l?
0
Calculate the remainder when 13 is divided by -1 + 1 - (-16 - -11).
3
Suppose -47 - 13 = -4*i. Suppose 4*c - 25 - 7 = 0. What is the remainder when i is divided by c?
7
Let w = 40 - 15. What is the remainder when 73 is divided by w?
23
Let j(n) = n**2 - 4*n + 9. Let d be j(7). Suppose -y + 0 = -4*x - 12, 5*x + d = 2*y. What is the remainder when y is divided by 8?
4
Let o = 0 - -8. Suppose -76 = -4*u - 2*f - o, 3*u - 4*f = 62. Calculate the remainder when 50 is divided by u.
14
Let b(r) = -r**3 + 3*r**2 + 2*r - 3. Calculate the remainder when b(-3) is divided by (2/3)/(2/36).
9
Let p = -8 + 8. Suppose p*m + 4 = m. Calculate the remainder when 7 is divided by ((-9)/(-6))/3*m.
1
Let r = 66 - 21. What is the remainder when r is divided by 1*-32*(-1)/2?
13
Let r = -71 - -87. Calculate the remainder when r is divided by 9.
7
Suppose 4*d = 63 + 53. What is the remainder when d is divided by 18?
11
Let w = -7 + 7. Suppose w = 2*g - 5 - 1. Suppose 42 - 17 = 5*v. Calculate the remainder when v is divided by g.
2
Let u = -25 + 9. Let w = -9 - u. Suppose 6*f - 18 = -0*f. Calculate the remainder when w is divided by f.
1
Let k = -18 - -40. Suppose -k + 54 = 2*u. Calculate the remainder when 61 is divided by u.
13
Suppose 2*z - 27 = 5. Calculate the remainder when 109 is divided by z.
13
Suppose 4*j + 2*g = 260, -2*j + 2*g = 4*g - 134. Calculate the remainder when j is divided by (32/(-10))/(2/(-10)).
15
Suppose 4 = 5*y - 146. What is the remainder when 89 is divided by y?
29
Let r(x) = x**3 + 7*x**2 - 4*x - 9. Let h(i) = i + 1. What is the remainder when r(-6) is divided by h(17)?
15
Suppose -8 = 2*d - 124. What is the remainder when d is divided by 21?
16
What is the remainder when 11*(-6 - -5)*-3 is divided by 6?
3
Suppose 4*v - 3*v + a = -15, 5*a = 4*v + 15. Let l = 36 + v. Let c = -18 - -25. What is the remainder when l is divided by c?
5
Suppose -2*k + 50 = 3*k. Let d(g) = 5*g**2 - 2. What is the remainder when d(2) is divided by k?
8
Let d(y) = -7*y**3 + y**2 - 2*y - 2. What is the remainder when d(-2) is divided by (-218)/(-14) + 6/14?
14
Suppose 0 = g - 52 - 14. Calculate the remainder when g is divided by 17.
15
Suppose 5*g - 116 = g. Let l(i) = i + 15. Suppose -4*f = 2*z - 0*f - 4, -f = -5*z - 1. Calculate the remainder when g is divided by l(z).
14
Let u be (-1)/(-3) - 28/(-6). Let d = 49 - u. What is the remainder when d is divided by 23?
21
Let v = -119 + 124. Let h = 4 + 2. Calculate the remainder when h + 2 + 1/1 is divided by v.
4
Let q = 8 + -2. Suppose -r + q*r = 360. Suppose d + 3*d - r = 0. What is the remainder when d is divided by 10?
8
Let c(i) = -i**3 + 13*i**2 - 5*i - 33. What is the remainder when c(12) is divided by 27?
24
Let g = 7 + -9. Let a = 0 + g. Let z = a - -6. Calculate the remainder when 15 is divided by z.
3
Suppose 0 = -4*a - 5*f + 88, -f = -4*a + 22 + 66. Calculate the remainder when a is divided by 12.
10
Let g(v) = 3*v**2 - 6*v - 7. Let c(m) = m + 1 + 3*m - 2 + 2. What is the remainder when g(5) is divided by c(3)?
12
Let s(c) = 11*c**3 - c**2 + c - 1. Let o be s(1). Suppose -o = -3*n - 1. Let x(i) = i**2 - i + 3. Calculate the remainder when 25 is divided by x(n).
7
Let o(u) be the first derivative of -2 - 7*u + 1/4*u**4 + u**2 - 5/3*u**3. What is the remainder when 7 is divided by o(5)?
1
Suppose 0*l = -3*l + 30. Let j = l + -5. Suppose -2*b - 2*w = -j*b + 85, 0 = 3*w - 12. Calculate the remainder when b is divided by 17.
14
Suppose 342 = 11*c + 1. Calculate the remainder when 247 is divided by c.
30
Suppose -2*d - d + 278 = 2*x, 374 = 4*d + x. Let v be (-24)/16*(-10)/3. Suppose -v*q - 14 = -d. What is the remainder when 46 is divided by q?
14
What is the remainder when 2 is divided by 1/4 - 12/(-16)?
0
Let f = -5 + 10. Suppose 3*p - 3*l = 48, -f = -2*p - 4*l + 9. Suppose -5*a = -p - 192. Calculate the remainder when a is divided by 14.
13
Let a(r) = -20*r - 1. Let k = -3 + 3. Suppose 4*p + 12 = 2*p + 5*i, -3*p - i - 1 = k. What is the remainder when a(p) is divided by 10?
9
Suppose 2*g - 141 = -23. Calculate the remainder when g is divided by 15.
14
Let d = 75 + -8. Calculate the remainder when d is divided by 23.
21
Suppose 0 = -5*v + 31 + 69. Let a(r) = r**2 - 2*r - 2. Let k be a(-3). Let y = -6 + k. Calculate the remainder when v is divided by y.
6
Let t(l) = 10*l - 10. Calculate the remainder when t(4) is divided by (0 - (2 + 0))*-8.
14
Let r = 24 + -25. What is the remainder when 22 is divided by ((-3)/(-9))/(r/(-18))?
4
Let f be 12/((-88)/(-86) - 1). What is the remainder when 39 is divided by f/24 - 2/4?
18
Let z(j) = -j**2 - 2*j. Let n be z(-2). Suppose 2*d = 10 - n. What is the remainder when -3*(-2 + 7/(-3)) is divided by d?
3
Calculate the remainder when (-7)/5 + 1 + (-572)/(-5) is divided by 13.
10
Suppose 2*v + 2*v = 4. Let y = v + 11. What is the remainder when 45 is divided by y?
9
Suppose 2*r = -0*r - 5*d + 14, 0 = -4*d. Let j = r + -1. What is the remainder when 15 is divided by j?
3
Let h = -1 + -1. Let c = h + 2. Suppose c = -0*d + d - 15. What is the remainder when 44 is divided by d?
14
Let s(w) = w**3 + 5*w**2 - 10*w - 9. Suppose -2*y + 4*y - 23 = -5*u, 2*u + 2*y = 8. Suppose u*j = 38 + 2. What is the remainder when s(-6) is divided by j?
7
Suppose -f - 6*n = -n - 20, 3*f - 3*n + 12 = 0. Suppose 192 = 4*d + 4*t, -5*d + 230 = -f*t + 3*t. What is the remainder when d is divided by 15?
13
Suppose 21 = 5*j - 4. Calculate the remainder when 7 is divided by j.
2
Suppose 4*u - 9 = -1. Suppose -3*a = 2*i - 81, a + 3*i + u - 22 = 0. Suppose -5 + 50 = 3*y. Calculate the remainder when a is divided by y.
14
Let y be 4*((-106)/(-8) - 1). Suppose 1 - y = -4*g. Calculate the remainder when g is divided by (-2)/4 + 15/2.
5
Let v(g) = -4*g. Suppose 2*t - 76 = -5*s - 27, 3*s = 3*t + 42. What is the remainder when s is divided by v(-1)?
3
Suppose s - 13 = 5*k, -2*s + k = -k - 10. Let h(b) = b**3 - 5*b**2 - 5*b + 6. Calculate the remainder when (-47)/4*(-12)/s is divided by h(6).
11
Calculate the remainder when 191 + ((-60)/(-5))/3 is divided by 22.
19
Suppose 0 = k - 12 - 1. Let x(o) = -o**3 + 12*o**2 + 15*o - 6. What is the remainder when 58 is divided by x(k)?
18
What is the remainder when 34 + (3 - 2 - -3) is divided by 14?
10
Suppose 0*l + 50 = 5*l. Let y be 16/l - 12/(-30). What is the remainder when 33 + 1 + -1*y is divided by 11?
10
Let s(g) = -2*g + 5. What is the remainder when 39 is divided by s(-7)?
1
Let i(d) = 45*d**3 - d**2. Let w be 2 - (-1 - (-4 - -2)). Let l = -10 - -25. Calculate the remainder when i(w) is divided by l.
14
Let f(z) = -7*z + 7 + 5*z**2 + z**2 - 2*z**2 - 3*z**2. Let u be f(7). Let o = 8 + u. Calculate the remainder when o is divided by 4.
3
Suppose -3*x - 26 = -4*x + 2*z, 0 = -x - z + 32. Calculate the remainder when 117 is divided by x.
27
Suppose 8 = d + 3*n, 3*d - 4*n - n = 10. Let o(w) = w**2 - 3*w - 3. What is the remainder when 12 is divided by o(d)?
5
Suppose -4*o = 5*j - 161, 0*j = -j + o + 25. What is the remainder when 172 is divided by j?
27
Let p = 98 + -50. What is the remainder when p is divided by 11?
4
Let d be (-120)/(-66) - 2/(-11). Suppose 0 = -f + d*f - 9. What is the remainder when f is divided by 5?
4
Suppose c - 4 = -1. Calculate the remainder when c*(68/12 + 0) is divided by 10.
7
Calculate the remainder when 3 + -1 + 55 + -6 is divided by 13.
12
Let g = 7 - 1. Let w(x) = -x**2 + 8*x + 4. Suppose 2*y - 7 = 5. What is the remainder when w(g) is divided by y?
4
Suppose 2*o - o - 54 = 0. What is the remainder when o is divided by 29?
25
Suppose -3*y = 4*q - 143, 2*y - 5*y = 2*q - 145. Suppose -3 - y = -u. Calculate the remainder when 8 is divided by (-2)/(-5) - u/(-20).
2
Let f = 30 + -11. Calculate the remainder when (-8)/4*(-27 + -1) is divided by f.
18
Let s = 11 + -2. Let n be 6*(2 