 when s is divided by 3.
2
Let i = -6 + 67. Calculate the remainder when i is divided by 21.
19
Suppose 118 = 5*u - 177. Suppose j - 46 = 4*p, 4*p + u = 5*j - 171. What is the remainder when j is divided by 16?
14
Let u = 32 + -29. What is the remainder when 10 is divided by u?
1
Suppose -5*n + 150 = -2*o, 3*n + 0*n = o + 91. Calculate the remainder when 62 is divided by n.
30
Let s = 3 - 0. Suppose y + 13 = 2*k, y - 9 = 4*y. Calculate the remainder when k is divided by s.
2
Let n be -7 + 4 - (0 + -1). Suppose 3*z = 5*q + 22, z + q + 52 = 5*z. What is the remainder when (n + 24/(-3))*-4 is divided by z?
12
Suppose -5*z = -7*z + 8. Let v = 34 + -7. Suppose -t - v = -z*t. What is the remainder when 17 is divided by t?
8
Suppose 264 = -r + 5*r. Let i = 20 + 3. What is the remainder when r is divided by i?
20
Suppose 0 = 2*t - 4*a - 64, 0*t - 5*t = 5*a - 145. What is the remainder when 118 is divided by t?
28
Let g(s) = -s**3 - 4*s**2 - s - 3. Let z be g(-3). Suppose 5*f - 31 + 186 = 0. Let d = z - f. What is the remainder when d is divided by 12?
10
Let n = -4 + -1. Let b(a) = -3*a - 7. Let h be b(n). Suppose 4*f = -x + h, x + 3*x = 3*f + 13. Calculate the remainder when x is divided by 3.
1
Let z(f) = -2*f**2 - 2*f. Let n be z(2). Let p = -5 - n. Suppose 29 = l - 4*q, l = -2*q - 2 + p. Calculate the remainder when 38 is divided by l.
12
Suppose -5*o = 2*b - 110, -b + 3*b - 50 = -2*o. Calculate the remainder when 38 is divided by o.
18
Let z = 3 - 0. Suppose z*y + 15 = 0, 3*n + 0*y - 4 = -y. Suppose -2*t - 6 = -4*t + 2*r, 0 = -4*t + n*r + 15. Calculate the remainder when 17 is divided by t.
5
Suppose 0 = 4*p + 4*w - 33 + 13, 3*p - 16 = -4*w. What is the remainder when 12 is divided by p?
0
Suppose -5*p + 5*l = -275, 2*p - 2*l = -5*l + 85. Calculate the remainder when p is divided by 13.
11
Let w = -47 - -55. What is the remainder when w is divided by 3?
2
Suppose 1 = -5*r - 9, s - 4*r - 14 = 0. Let w(y) = 2*y - 7. What is the remainder when w(s) is divided by 2?
1
Suppose -3*i - 4 = 5*m, -i + 2*i + 4*m + 6 = 0. Suppose -6 = -g - i*g. Calculate the remainder when 5 is divided by g.
1
Let d = 18 + -15. Suppose -v = -5*v + 3*k + 5, -d*v = 5*k - 40. What is the remainder when v is divided by 3?
2
Suppose 2*x + 2*c = 2, -4*x - 2 + 5 = 5*c. Suppose 5*d = -x*s + 19, s - 3 - 14 = -5*d. Let t(g) = g**2 + 1. Calculate the remainder when s is divided by t(0).
0
Let j = 4 + 0. What is the remainder when 15 is divided by j?
3
Suppose -107*d + 159 = -104*d. What is the remainder when d is divided by 19?
15
Suppose -3*f - 1 = -2*r - 6*f, -r - 3*f + 5 = 0. Calculate the remainder when 23 is divided by 12/10*(r - -9).
5
Let x(f) = f**3 + f**2 - 4*f + 7. What is the remainder when x(5) is divided by 35?
32
Let w(n) be the first derivative of 11*n**2/2 - 6*n - 4. Calculate the remainder when w(4) is divided by 10.
8
Suppose 2*x = 2*p + 3*x + 3, 5*p = 3*x + 20. Let b(t) = 4*t + 0*t - 1 - 5*t - t. Calculate the remainder when p is divided by b(-1).
0
Let h = 347 - 236. Let s = h + -64. Calculate the remainder when s is divided by 12.
11
Let p = -14 - -25. Suppose -2*l = a - p, -l + 5*a + 12 = -21. Suppose l = u - 13. What is the remainder when u is divided by 6?
3
Suppose -w + 0*w = 0. Suppose 0 = -w*u + u - 1. What is the remainder when 3 is divided by u?
0
Let m = -133 + 237. Calculate the remainder when m is divided by 22.
16
Let m(q) = -q**2 + 3*q + 27. What is the remainder when m(6) is divided by 6?
3
Let v = 15 + -7. Let t = v + -13. What is the remainder when 23 is divided by (-62)/t + (-12)/30?
11
Suppose 5*v - 169 = -8*v. What is the remainder when 46 is divided by v?
7
Suppose 0 = -n + 25 + 13. Calculate the remainder when n is divided by 10.
8
Let o(z) = -6*z - 11 + 2 - 3*z**2 + 2*z**2. Let r be o(-6). What is the remainder when 21/(-4)*24/r is divided by 5?
4
Let i(b) be the first derivative of 2*b**3/3 + 3*b**2 - 2*b - 2. Let k(s) = 2*s + 9. Let r be k(-7). What is the remainder when i(r) is divided by 10?
8
What is the remainder when 17 + (-3)/(12/8) is divided by 8?
7
Suppose 5*y - 2 - 3 = 0. Let q be -2 + 8/(-4) - 8. Let t(c) = c + 13. What is the remainder when t(q) is divided by y?
0
Suppose -3*s - 12 + 48 = 0. Calculate the remainder when 55 is divided by s.
7
Suppose 0 = -9*c + 7*c - v + 62, -5*v = -10. What is the remainder when c is divided by 8?
6
Let r(p) = p**2 + 3*p + 4. Calculate the remainder when 5 is divided by r(-2).
1
Let v = -7 - -47. What is the remainder when v is divided by 9?
4
Let p be (-2)/(0 - (-6)/99). Let t = -12 - p. Suppose 3*z = -3*y + t, 6*y - 19 = 3*y - 4*z. Calculate the remainder when 17 is divided by y.
8
Let p(q) = -q**2 + 5*q + 2. Suppose k + 5 = 2*k. Calculate the remainder when p(k) is divided by 1.
0
Suppose 2*t - 35 = -3*t. Suppose -2*s = -t*s + 145. Let q(m) = 2*m**2 + m. What is the remainder when s is divided by q(2)?
9
Let s = 84 - 183. Calculate the remainder when (1 + 2)*32/3 is divided by 2/(-3)*s/6.
10
Let a = -11 - -23. Suppose g + 622 = 5*l - 2*g, -5*l - 4*g = -629. Let s = -79 + l. Calculate the remainder when s is divided by a.
10
Suppose 8 - 21 = -h + 3*z, -29 = -2*h + 5*z. What is the remainder when h is divided by 5?
2
Let q = 33 - 24. Calculate the remainder when 62 is divided by q.
8
Let q(s) = s - 4. Let d be q(7). Let p(r) = -24*r - 1. What is the remainder when (-88)/d*(-3)/2 is divided by p(-1)?
21
Suppose 4*s = -3*r + 183, -s + 0*s - 5*r + 33 = 0. Suppose -2*f - 3 = -11, 0 = 4*t + f - s. Calculate the remainder when 41 is divided by t.
8
What is the remainder when 4 + 0/4 + 14 is divided by 5?
3
Calculate the remainder when 1/(-3) + 292/12 is divided by 15.
9
Suppose h + 4*i + 1192 = -0*h, 4819 = -4*h + i. What is the remainder when 2/3 - h/21 is divided by 15?
13
Let i = 63 + -27. Suppose -4*k - 21 + 1 = 0. Let u = i + k. What is the remainder when u is divided by 16?
15
Suppose -363 = -0*t - 3*t. Calculate the remainder when t is divided by 37.
10
Let d(t) = 3*t**3 + 3*t**2 - 4*t + 2. Let r be (-18 + 16)/(1 + -2). Let s(h) = h**3 - 3*h**2 + 4*h - 4. What is the remainder when d(r) is divided by s(3)?
6
Let f(b) = 0 + 1 + 9*b**2 + 4*b**2. Suppose 2*h - 108 = -2*h. What is the remainder when h is divided by f(-1)?
13
Let y(n) = -n**3 - n - 25. Let m be y(0). Suppose 0 = 5*u + 3*b - 13, -4*b - 3 - 1 = -4*u. What is the remainder when u is divided by 20/m*(-5)/2?
0
Calculate the remainder when 39 is divided by (-21)/((-3)/(-1) - 4).
18
Let x be -3 + (-28)/(-12)*3. Suppose -x*z + 87 + 1 = 0. What is the remainder when z is divided by (-4 - -2) + 1 + 7?
4
Suppose 9*i - 77 - 31 = 0. What is the remainder when 46 is divided by i?
10
Suppose 5*n - 4*s = -0*n + 89, -5*n + 3*s + 93 = 0. What is the remainder when 25 is divided by (1/(-3))/((-1)/n)?
4
Let t = -155 - -259. What is the remainder when t is divided by 21?
20
Let z = -4 - 1. Let r(n) = -3*n + 2. What is the remainder when 49 is divided by r(z)?
15
Suppose -4*m + 79 = -21. Calculate the remainder when 123 is divided by m.
23
Suppose -i = -4*i + 63. Let x = 1 + 12. Let a = 25 - x. What is the remainder when i is divided by a?
9
Let x(y) = 2*y**2 + 5*y + 1. Let p = 9 + -14. Suppose 2*c = -0*c - 4*k + 26, 22 = 2*c + 2*k. Calculate the remainder when x(p) is divided by c.
8
Suppose 5*h + 3*j + 28 - 119 = 0, -48 = -3*h - 4*j. Calculate the remainder when h is divided by 2.
0
Let z(k) = k**2 + 4*k - 11. Let i be z(-10). Suppose -5*b + d + i = -b, -2*b + 2 = 4*d. Calculate the remainder when b is divided by 3.
2
Let n = -54 + 70. What is the remainder when 29 is divided by n?
13
Calculate the remainder when 27 is divided by (-33)/11*10/(-3).
7
Suppose -2*x + 4 = b, -b + 24 = -0*x - 2*x. Let v be (7/b)/((-1)/(-32)). Suppose 5*f - 129 = v. Calculate the remainder when f is divided by 10.
9
Let h(k) = k - 1. Let f be h(5). Suppose -w + 105 = f*w. Suppose 4*j - 4*q = 64, -4*q + 2 = 2*j - 6. What is the remainder when w is divided by j?
9
What is the remainder when 31 is divided by ((-3)/2)/3 + (-153)/(-18)?
7
Let d = 131 + -59. What is the remainder when d is divided by 21?
9
Suppose 2*k = 5*l + 56, -4*l = -2*k - 0*k + 56. Let p = k - 10. What is the remainder when 70 is divided by p?
16
Let g be (-15)/(-4)*80/15. Let a = 39 - g. What is the re