w - k. What is the remainder when r is divided by w?
16
Let z = 38 - 27. Let t = z + -16. Let m(l) = l**3 + 6*l**2 + 4*l. Calculate the remainder when 14 is divided by m(t).
4
Suppose -2*c + 16 = 2*c. Suppose -1 = c*v - 9. What is the remainder when 2 is divided by v?
0
What is the remainder when 67 is divided by (-17)/(0 + (-3)/3)?
16
Let f(q) = -3*q - 6. Let b be f(-3). Suppose 5*p - 5*i = 95, 2*i + 2 = b*i. Calculate the remainder when p is divided by 12.
9
Suppose -49 - 68 = -3*u + 3*f, 5*u + 4*f = 204. Suppose -2*l - 60 = -7*l. Calculate the remainder when u is divided by 16/l*63/6.
12
Suppose 3*u - 47 = 2*q, 3*q + 2 = q. What is the remainder when 24 is divided by u?
9
Suppose -3*u + 2*k = -53, 36 = 2*u - u + 3*k. Calculate the remainder when 40 is divided by u.
19
Let i(w) = -7*w**2 + 8 - 18*w**3 - 4 + 2 - 11*w + 17*w**3. What is the remainder when i(-5) is divided by 3?
2
Let x = -6 + 9. Suppose x*f = 48 + 33. What is the remainder when f is divided by 14?
13
Let q(u) = u**3 - 28*u**2 + 6*u + 40. Calculate the remainder when q(28) is divided by 19.
18
Let t(o) = -1 + 2 - 2 + 33*o**2. What is the remainder when t(-1) is divided by 2*-1 - (-3 - 10)?
10
Let m = 0 + 3. Calculate the remainder when 21 is divided by ((-12)/(-7))/(m/21).
9
Let x be (-377)/(-91) + 2/(-14). Suppose -x*j - 19 = -5*j. Calculate the remainder when -2 + 1 + 0 - -37 is divided by j.
17
Suppose -3*f = 4*y - 5*y + 9, 4*y - 3*f - 81 = 0. Calculate the remainder when 46 is divided by y.
22
Let x be 16/12 - (-4)/6. Suppose i = -v + 28, i - 60 = -2*v - x*i. Calculate the remainder when v is divided by 13.
11
Suppose -16 = -t + 4. What is the remainder when t is divided by (-2 - -4 - -5)/1?
6
What is the remainder when ((-24)/(-10))/(30/200) is divided by 6?
4
Let y = -19 + 10. Let w(o) = o**3 + 8*o**2 - 10*o - 3. What is the remainder when w(y) is divided by 2?
0
Suppose -4*x + 18 + 20 = -5*j, 0 = -3*x - j + 38. Suppose 2*h + m - 15 = 0, -3*m - 1 = -4*m. What is the remainder when x is divided by h?
5
Suppose 8*v + 0*v = 648. Calculate the remainder when v is divided by 21.
18
Let w(p) = -p**2 + 13*p + 1. Let d be w(13). Let x(h) = 32*h**2 - 2*h + 2. What is the remainder when x(d) is divided by 7?
4
Let i(w) = w + 28. Calculate the remainder when 23 is divided by i(-15).
10
Suppose 46*c = 28*c + 342. Suppose 5*s = -3 + 58. Calculate the remainder when c is divided by s.
8
Suppose -z - 3*a + 5 = 0, a = -2*a - 3. Calculate the remainder when (z - -1)*(8 - 5) is divided by 14.
13
Suppose -132 = -z - 2*z. Calculate the remainder when z is divided by 17.
10
Suppose 5*p + 28 = 98. Let b = p + 1. Calculate the remainder when 56 is divided by b.
11
Let p = 20 + -11. Calculate the remainder when 26 is divided by p.
8
Suppose 21*m + 242 = 22*m. Calculate the remainder when m is divided by 61.
59
Suppose 2*i = -3*i. Suppose 5*m + 0*m - 5 = i, 67 = 3*y - 2*m. Let o = 10 + -2. What is the remainder when y is divided by o?
7
Suppose -3*h - 1 = 2. Calculate the remainder when 28 is divided by 30/2*h*-1.
13
Let s(l) = -l + 2. Let h(r) = -3. Let o(z) = -6*h(z) - 7*s(z). Suppose -4*y - 1 = -17. What is the remainder when o(y) is divided by 11?
10
Let j(d) = 2*d**2 + 20*d - 6. Calculate the remainder when 162 is divided by j(-12).
36
Let v(n) = -n**2 + 10*n - 5. Calculate the remainder when 40 is divided by v(8).
7
Suppose -3*q + 0*q + 174 = 0. Let y = 95 - q. Let w(l) = l**3 + 15*l**2 - 17*l - 3. Calculate the remainder when y is divided by w(-16).
11
Let o(p) = 5*p**2 + 7*p - 9. Let s(t) = -t**2 - t + 1. Let q(c) = -o(c) - 6*s(c). Calculate the remainder when q(0) is divided by 1.
0
Let k(i) = -i**3 - 7*i**2 - 8*i - 7. Suppose -4*s = 8, -2*s = -2*a - 2*a - 20. What is the remainder when 12 is divided by k(a)?
2
Suppose -3*i - 4*n + 136 = 0, 4 + 16 = 5*n. What is the remainder when 78 is divided by i?
38
Let g = 37 - 2. Calculate the remainder when 207 is divided by g.
32
Let x(l) = 2*l + 2. Let s be x(-3). Let h = s - -19. Let v(f) = 9*f**3 - 2*f + 1. What is the remainder when h is divided by v(1)?
7
Suppose -v + 1 - 23 = -2*j, -18 = -2*j + 3*v. Suppose 7*s - 78 = 4*s + 4*p, 3*p - 57 = -3*s. What is the remainder when s is divided by j?
10
Let g(b) = b**3 - 3*b**2 - 3*b - 2. What is the remainder when g(5) is divided by 7?
5
Let o(f) = -f**3 - 8*f**2 - 8*f + 6. Let l be o(-7). Let t = l - 8. Suppose -t*c = 1 - 11. What is the remainder when 2 is divided by c?
0
Calculate the remainder when 2 + (3 - 2) - -16 is divided by 3.
1
Suppose 2 = r - 12. Calculate the remainder when r is divided by 8.
6
Suppose -8*j = -13*j + 785. Suppose -5*o + j = -4*m, o - 6*o = 4*m - 133. What is the remainder when 84 is divided by o?
26
Let y be (-1 - 1/(-1))/(-1). Suppose y = 5*c + 4*z - 85, -5*c + 4*z + 99 = 14. Calculate the remainder when c is divided by (-28)/(-5) - (-6)/15.
5
What is the remainder when (5/(-10))/(2/(-132)) is divided by 12?
9
What is the remainder when ((-312)/65)/((-2)/10) is divided by 9?
6
Let s be 5/(-10)*-4*1. Suppose 3*i + s*i - 110 = 0. Calculate the remainder when 38 is divided by i/2 - 4/(-2).
12
Suppose 4*x + x = -u + 240, 0 = -2*x - u + 93. Suppose 2*c - 2 + 0 = 0. Suppose -a = -c, 0*i - 4*i + 53 = a. What is the remainder when x is divided by i?
10
Suppose 6*q - 95 = q. Suppose 0 = 3*h - 4*s - 136, q = h + 3*s - 9. Calculate the remainder when h is divided by 14.
12
Suppose 23*n = 24*n - 55. Suppose -a + 2*k + k + 14 = 0, -2*a - 5*k = -28. What is the remainder when n is divided by a?
13
Suppose 0*s - 12 = -4*s, 2*a = 5*s + 3. Suppose 4*v - v - 15 = 0. Calculate the remainder when a is divided by v.
4
Let x = -510 - -790. Suppose 0 = p + 1, -4*p + x = 3*r + 50. What is the remainder when r is divided by 27?
24
Let p = 9 - 24. Let l = -10 - p. Calculate the remainder when 17 is divided by l.
2
Let s be 1/(-2) + 18/4. Suppose s*d - 15 - 29 = 3*k, -5*d = -k - 66. Let h(z) = z**2 + 4*z. Calculate the remainder when d is divided by h(-5).
4
Let z(m) = 4*m**3 - 2*m**2 - m - 3. Let k be z(-3). Let o = -73 - k. What is the remainder when o is divided by 14?
11
Let a(v) = v**3 - 6*v**2 + 7*v. Suppose i - 4*f + 4 = -i, -2*i - 3*f = -24. What is the remainder when a(i) is divided by 22?
20
Let v = 61 - 42. Calculate the remainder when 131 is divided by v.
17
Let v(a) = -3*a - 4. Let t be v(-3). Let y(q) = -q + 6. Let m be y(t). Suppose 4 - m = z. What is the remainder when z is divided by 2?
1
Let t(m) = 1. Let h(f) = f**2 + 4*f - 3. Let a(i) = h(i) + 6*t(i). What is the remainder when 9 is divided by a(-4)?
0
Suppose 8*r + 7*r - 2595 = 0. Calculate the remainder when r is divided by 29.
28
Suppose 49 = -5*a - 66. Let x = -10 - a. Calculate the remainder when x is divided by 8.
5
Suppose 0 = 5*m - 25, -7*m + 17 = 3*l - 3*m. Let g = 8 - -16. Let d = l + g. What is the remainder when d is divided by 8?
7
Let x be (-32)/20*(-10)/4. Suppose -4*h + 86 = x*g + h, -g + h + 26 = 0. Let q(c) = 2*c + 25. What is the remainder when g is divided by q(-6)?
11
Suppose 0 = 5*o + u - 34, 4*o - 2*o = -5*u + 9. What is the remainder when 20 is divided by o?
6
Suppose -4 + 0 = -4*l, 0 = 4*m + 2*l - 2. Let j = 2 - m. Calculate the remainder when 28 is divided by -2 + 1 + j + 14.
13
Suppose -59 = -i + 3*a, 0*i - 2*i = a - 104. Calculate the remainder when i is divided by 145/13 + (-12)/78 - -3.
11
Suppose -q = -9 - 6. Let r be 4/(-6)*3*8. What is the remainder when q is divided by 3/2*r/(-3)?
7
What is the remainder when (-6)/14 - 524/(-14) is divided by 10?
7
Let c = 123 + -53. What is the remainder when c is divided by 12?
10
Suppose 0*w + 360 = 5*w + 2*g, 3*w = -g + 217. Calculate the remainder when w is divided by 38.
36
Suppose -2*y + 46 = 4*w, -51 = -4*y + 5*w + 2. What is the remainder when 31 is divided by y?
14
Let l(o) be the second derivative of o**3/3 - 4*o**2 - o. Calculate the remainder when 10 is divided by l(7).
4
Suppose 0 = 2*a - 2, 2*j + 2*a - 17 = 15. Calculate the remainder when 56 is divided by j.
11
Let s(j) = 2*j**2 + 3*j - 2. Let h be s(1). Suppose -164 = -2*b + h*q, 4*b - 3*q - 534 + 194 = 0. Calculate the remainder when b is divided by 30.
28
Suppose -111 = -2*m + 173. Calculate the remainder when m is divided by 36.
34
Suppose 2*r = 7*r - 25. Suppose -r*h = q + 14, -5*h -