is divided by o.
5
Let m = -9 - -12. Suppose -m*u = u. Suppose -t + 17 = -u*t. What is the remainder when 31 is divided by t?
14
Let j = 63 - 35. Suppose 4*q + 0 - j = 0. Calculate the remainder when 12 is divided by q.
5
Suppose -g - 2*g = 2*c - 46, g + 5*c = 37. Suppose -31 - 634 = -7*p. What is the remainder when p is divided by g?
11
Suppose 0 = -23*j + 22*j + 6. Suppose -3*v - 12 = 0, -s + 2*v - 7 = -j*s. What is the remainder when 22 is divided by s?
1
Let f = -5 + 2. Let l be 14*2/(-12)*f. Suppose 3 + l = i. Calculate the remainder when 37 is divided by i.
7
Suppose 4*b = -3*g - 0 + 3, -3 = -5*b - 4*g. Let u be 0/(1 - b) + -3. Let z(p) = 2*p**2 - 2*p - 1. Calculate the remainder when z(u) is divided by 8.
7
Suppose -7*y + 20 - 6 = 0. Suppose y*z = 2*a - 44, 2 + 0 = -a - 5*z. Suppose m - 106 = -37. What is the remainder when m is divided by a?
15
Let s = 1773 - 1477. Calculate the remainder when s is divided by 12.
8
Let g(q) = 3*q**2 - 12*q + 16. Calculate the remainder when 235 is divided by g(7).
77
Suppose -3*r + 4*t = -9, 5*t + 12 = 4*r - r. Calculate the remainder when 67 is divided by (-3 + r + 27)*1.
21
Let g(i) = -19*i - 3. Let o be g(-2). Suppose 85 = a + 4*a. Calculate the remainder when -1 + o - (-1 - -2) is divided by a.
16
Let k(v) = -v**2 + v + 7. Let i be k(-5). Let q = i + 11. Let c(g) = -g**2 - 13*g + 17. What is the remainder when c(q) is divided by 16?
13
Let g(c) = 2*c + 11. Let x be g(-3). Let n(m) = 2*m**2 - m - 16. What is the remainder when n(x) is divided by 8?
5
Let i(f) = 7*f + 12. What is the remainder when i(18) is divided by 71?
67
Suppose -4*o + 4*u + 56 = 0, -o - 3*u + 42 = 2*o. Calculate the remainder when 381/4 + (2 - 18/8) is divided by o.
11
What is the remainder when 323 is divided by (174/24 - 7)*-94*-2?
41
Suppose 5*d - 3 - 2 = 0. Let b(g) = 19*g**3 - 2*g**2 + 2*g - 1. Let m = -5 + 39. Calculate the remainder when m is divided by b(d).
16
Let z(d) = d**3 + 27*d**2 + 51*d + 51. What is the remainder when 151 is divided by z(-25)?
21
Suppose 4*w - 9*z = -4*z + 109, -3*z + 23 = w. Calculate the remainder when 145 is divided by w.
15
Let i = 3 + 0. Suppose 45 = 2*u + i*u. What is the remainder when u is divided by 2*2 - (-1 - 0)?
4
Calculate the remainder when 471 is divided by 4 + (58 - (4 - 1)).
58
Let k(h) = -h**3 - 2*h**2 - 5*h - 4. Let f be k(-3). Let q = 2 - -22. What is the remainder when q is divided by (1 - -1)*f/8?
4
Let g be 4*(2/(-4))/1. What is the remainder when 37 is divided by (-21)/(-1) + g + 1?
17
Let v(a) = a**2 - a + 51. Let x be 1 + (1 - -1 - (0 + 3)). What is the remainder when v(x) is divided by 27?
24
Let m = 208 + -200. What is the remainder when 53 is divided by m?
5
Suppose 0 = -6*g - 16*g + 1144. Calculate the remainder when g is divided by 11.
8
Let c = -1133 - -1237. What is the remainder when c is divided by 20?
4
Suppose -39*g + 16*g + 667 = 0. Calculate the remainder when g is divided by 15.
14
Let c(j) = -2*j + 35. Suppose -4*s + 50 = 14. Calculate the remainder when c(s) is divided by 7.
3
Let l(t) be the second derivative of -3*t**3/2 - 7*t**2 - 12*t. What is the remainder when l(-13) is divided by 35?
33
What is the remainder when 220 is divided by ((-2)/(-3))/((-10)/(-45)) + 70?
1
Let o(p) = 2*p**3 - 2*p + 1. Let f be (-1 - 1) + 3 - -5. Suppose y + 5 = f*y. What is the remainder when 4 is divided by o(y)?
0
Calculate the remainder when 133 is divided by 38/(11/132*12).
19
Suppose 0 = 2*y + 6 - 0. Let u be (-117)/(3/y - 0). Suppose 0 = 5*i - u - 133. Calculate the remainder when i is divided by 13.
11
Let l(h) = -2*h**3 + 3*h**2 + 6*h - 10. Let w be l(4). Let n = -59 - w. Calculate the remainder when 11 is divided by n.
4
Suppose o - 4*o + 12 = 0. Suppose -o*c = -c - 135. Let u = 6 + 17. Calculate the remainder when c is divided by u.
22
Let n = 298 - 283. What is the remainder when 36 is divided by n?
6
Suppose d = -60 + 9. Let o = 5 - d. Calculate the remainder when o is divided by 21.
14
Let h(r) = r**3 - 5*r**2 - 4*r - 10. Let q(a) = -a + 12. Let l be q(5). Let s = 28 - l. What is the remainder when h(7) is divided by s?
18
Let d(k) = -k**2 - k + 2 - 5 + 2 - 4*k**3. Let b be d(-1). Suppose q = 5*u + 24, -2*u = -b*q + 2*u + 39. Calculate the remainder when 32 is divided by q.
5
Let k(b) = 4*b - 1. Let o be k(9). Suppose 2*t - 4*r + r = o, -3*t - 3*r = -30. Calculate the remainder when t is divided by 6.
1
Let f be ((-5)/(2/(-2)))/(3/(-3)). Let v(n) = -3*n - 3. Suppose -m + 3*m = 16. Calculate the remainder when v(f) is divided by m.
4
Let m(o) = 4*o**2 + 6*o + 7. Let v(p) = -2*p**2 - 1. Let n be v(-1). Calculate the remainder when m(n) is divided by 7.
4
Suppose -19*z + 12*z = -21. What is the remainder when 13 is divided by z?
1
Suppose -129*q = -121*q - 152. Calculate the remainder when (-372)/(-60)*5*1 is divided by q.
12
Let v be (-1)/2*(-4)/2. Suppose -2*h = 4, 4*h + 94 = 4*n + 3*h. Let o = n - v. What is the remainder when 65 is divided by o?
21
Let v(b) = 2*b**3 - 7*b + 5. Suppose 8 = 21*r - 19*r. Calculate the remainder when v(r) is divided by 36.
33
Let n = 3 - -1. Suppose -2*j - n*y = -52, -j - 5*y + 20 = -0*j. Suppose 2*x - j = 22. What is the remainder when x is divided by 7?
5
Let j = -35 + 43. Suppose -5*s + 2*l = j, -4*l = 2*s - 11 - 5. Suppose s*x - 7 = -x. What is the remainder when 12 is divided by x?
5
Suppose 5*q - 4*i + 5*i - 75 = 0, -4*q = 4*i - 60. Calculate the remainder when 26 is divided by q.
11
Suppose 2*m = -16 - 6. Let s = 38 + m. Let i(k) = 3*k**3 - 6*k**2 + 7*k. What is the remainder when s is divided by i(2)?
13
Suppose 0 = 5*f - 5*p + 10 - 0, 4*f + 18 = -p. What is the remainder when -4 - (1 + -50 + 8/(-2)) is divided by -3 + (-1)/(f/64)?
10
Let d be 40 - (-3 + 1 + -2). Let z = d + -23. Calculate the remainder when z is divided by 1 - (-1 + 1*-10).
9
Let s be (2/4 - (-33)/18)*45. Let g = 112 - s. What is the remainder when 46 is divided by g?
4
What is the remainder when 1019 is divided by (-7)/((-168)/2082) - 14/8?
84
Let i(w) = 16*w - 65. What is the remainder when 46 is divided by i(6)?
15
Let p(x) = -x**3 + 5*x**2 + 12*x + 7. Let o be p(7). Let c = -1 - -18. Let j = c + o. Calculate the remainder when j is divided by 4.
2
Let q = -153 + 169. Calculate the remainder when 55 is divided by q.
7
Let t(w) = 45*w - 112. What is the remainder when t(4) is divided by 28?
12
Let l(m) = -21*m - 100. Let v be l(-5). Suppose -5*u - 60 = -v*b, 29 - 23 = -2*u. What is the remainder when b is divided by -4*(10/(-4) - -1)?
3
Let g = 76 - 83. Let l(s) = 2*s**2 + 15*s + 38. What is the remainder when l(g) is divided by (34/3)/((-2)/(-3))?
14
Suppose 8*f - 16 = -0*f. Let r = -174 + 291. What is the remainder when 9 is divided by 559/r + f/9?
4
Suppose 4*q - 2*k = 3*k - 31, -4*q + 2*k = 46. Let p(m) = -m**2 - 17*m - 35. What is the remainder when 47 is divided by p(q)?
5
Suppose -6*j - 1290 = -11*j. Let d = 5 - -47. Calculate the remainder when j is divided by d.
50
Suppose 0*r - 3*r - 36 = -2*v, r = 4*v - 62. Calculate the remainder when 202 is divided by v.
7
Let x = 100 + -156. Let s = x - -59. Calculate the remainder when s is divided by 1.
0
Let h(t) = -3*t**3 + 2*t**2 + 2*t. Let p be h(-1). Suppose -l = p*u - 36, -u - 98 = -3*l - 0*u. What is the remainder when 61 is divided by l?
28
Suppose -3*l - 5*p = -136 - 111, 3*l - 248 = -4*p. Suppose j - l = -3*j. Calculate the remainder when (j/14)/(1/2) is divided by 3.
0
Let c(p) = 0*p**2 - 14 - 11*p - 4 - p**2. Let l = -5 + 10. Calculate the remainder when c(-6) is divided by l.
2
Suppose 2*d - 5*v + 11 = 3*d, -3*v + 2 = -4*d. Calculate the remainder when 27 is divided by 7*d*40/20.
13
Suppose t + 6*t - 168 = 0. Suppose t = 8*f - 5*f. Calculate the remainder when f is divided by 3.
2
Suppose -119 = -2*n - 2*n - 5*y, -2*n + 65 = -3*y. Suppose -z - 84 = -4*l, -n = -5*l - 5*z + 49. Calculate the remainder when 158 is divided by l.
18
Let j = 1646 + -910. What is the remainder when j/14 - 27/(-63) is divided by 11?
9
Let p(y) = 7*y**2 - 4*y + 4. Calculate the remainder when 235 is divided by p(2).
19
Suppose 2*z + 637 - 269 = 3*p, -2*z + 4 = 0. What is the remainder when p is divided by 66?
58
Suppose 4*i = 12, 2*r - i = 2*i + 441. Calculate the remainder when r is divided by 54.
9
Calculate t