e remainder when k is divided by 5.
2
Suppose -17*w + 13*w + 120 = 0. What is the remainder when 57 is divided by w?
27
Let o(j) = j. Suppose 5*f - 4*w = 15, 2*f - w + 12 = 3*f. Suppose 0 = 4*n + 4*i + 8, -2*i + 25 = -7*i. Calculate the remainder when o(f) is divided by n.
1
Let p = 226 + -157. Let a = p - 37. Suppose -a - 4 = -2*r + 4*q, 4*q = -16. Calculate the remainder when 18 is divided by r.
8
Let w(d) = 2*d**2 - 4*d - 2. Suppose -4*m + n + 35 = 0, -6*n - 12 = -2*n. Calculate the remainder when w(4) is divided by m.
6
Suppose 0 = p - 4*c + 2*c - 13, c - 52 = -4*p. Suppose -4*x - 49 = -3*g - p, 0 = g - 4*x - 20. Calculate the remainder when 31 is divided by g.
7
Let u = 45 - 18. Suppose 2*c = -p + c + u, 4*c - 81 = -3*p. What is the remainder when p is divided by 10?
7
Let x(r) = -r**3 + 7*r**2 - 6*r + 5. What is the remainder when x(3) is divided by 6?
5
Let u(j) = j**2 + 7*j + 8. Let x(z) be the first derivative of z**2/2 + 2*z + 4. Calculate the remainder when u(-6) is divided by x(-1).
0
Let r(n) = 1 + n**2 + 3 - 5 + 0*n + 2*n. Calculate the remainder when 2 is divided by r(-3).
0
Let b = 4 + -2. Suppose u + 1 = b. Let o(a) = a**2 - a - 4. Calculate the remainder when o(3) is divided by u.
0
Suppose -3*a + 7 = -71. What is the remainder when 49 is divided by a?
23
Suppose -3*l - 83 + 221 = 0. What is the remainder when l is divided by 12?
10
Suppose 5*c + 4*x - 50 = -x, -c = -x - 10. Let s(a) = a**2 + 15*a + 3. Calculate the remainder when c is divided by s(-15).
1
Suppose 4*v - c - 369 = 0, -2*c = -5*v + 302 + 160. Suppose v = -3*b + 7*b. What is the remainder when b is divided by 8?
7
Suppose 15 + 645 = 4*y - 4*x, x - 165 = -y. What is the remainder when y is divided by 56?
53
Let k be 6/9 + (-86)/3. Let x = 69 + k. What is the remainder when x is divided by 14?
13
Suppose -2*n + 0*u + 2*u = -88, -u = 1. Suppose 0 = 4*d - 66 + 6. What is the remainder when n is divided by d?
13
Suppose -3*i + 166 = -i. Calculate the remainder when i is divided by 21.
20
Let a = 156 - 122. Suppose 4*p = 21 + 15. Calculate the remainder when a is divided by p.
7
Suppose 4*l + 3*y - 101 = 0, 4*l + 0*y + y - 95 = 0. Let j(t) = 2*t**3 - 2*t**2 + 2*t. Calculate the remainder when l is divided by j(2).
11
Let t(x) = -2*x**2 + 2*x - 1. Let g(k) = -k**3 + 10*k**2 - 11*k + 6. Let w(v) = 2*g(v) + 11*t(v). What is the remainder when w(-2) is divided by 3?
0
Suppose -2*m + 0*m - 10 = 0. Let j = 13 + m. Suppose -4*c - 17 - 17 = -l, -2*l - 4*c + j = 0. Calculate the remainder when l is divided by 5.
4
Suppose 5*q - 4*q = 3*v - 50, -5*v = -5*q - 80. Let a = 7 - 1. Calculate the remainder when v is divided by a.
5
Suppose -t + 49 + 21 = 4*c, 0 = 5*t - 2*c - 350. Calculate the remainder when t is divided by 24.
22
Let f(v) = 2*v**2 + 7*v - 1. Let m(l) = -3*l**2 - 8*l + 1. Let q(z) = -5*f(z) - 4*m(z). Calculate the remainder when 8 is divided by q(2).
2
Let y be (21/6)/(-1)*-4. Suppose -y = -4*p - h + 3, 0 = -5*p - 2*h + 22. Calculate the remainder when 6 is divided by p.
2
Let j(g) = 33*g**2 - 6*g - 5. Let k = -16 - -25. Calculate the remainder when j(-1) is divided by k.
7
Let w(h) = 3*h - 8. Calculate the remainder when w(7) is divided by 4.
1
Let n be 0 + (-9)/3 + 21. Suppose 2*b + 7 = 3*h + n, -b = h - 13. What is the remainder when b is divided by 6?
4
Let w = 37 - 30. Let f = 44 - 17. Calculate the remainder when f is divided by w.
6
Suppose -2*l - v + 12 = 0, -3*l + 6*v = 3*v. Let w = 12 - 0. What is the remainder when w is divided by l?
0
Let s(c) = -c**2 + 10*c + 11. Suppose 0*o = -o - 14. Let l = 24 + o. Calculate the remainder when s(l) is divided by 4.
3
Let q(y) = 2*y**2 + 4*y + 3. Suppose -5*d + 12 = -2*x - 9, 0 = -4*x - 12. What is the remainder when q(d) is divided by 9?
6
Suppose -7 = f - 2, -3*b - 3*f = 15. What is the remainder when 3 + b + 0/7 is divided by 2?
1
Suppose 5*y = y + 8. Calculate the remainder when (y - -24) + 2 + 1 is divided by 10.
9
Let r = -110 - -220. Calculate the remainder when r is divided by 37.
36
Let h(s) = -s**3 - 4*s**2 + 5*s + 6. Let f be (1 - -4)/(-2 + 3). Let w(z) = z**2 - 6*z. Let g be w(f). What is the remainder when 10 is divided by h(g)?
4
Suppose -5 - 4 = -w. Let o = -125 - -159. Calculate the remainder when o is divided by w.
7
Let w = 2 + 4. Let k(x) = -4 + 0*x**2 + 5*x**2 + x + x - 2*x**2. What is the remainder when k(-3) is divided by w?
5
Let y = -25 - -40. Let w = -2 + 3. Let t = y - w. What is the remainder when t is divided by 8?
6
Let a = -7 + 10. Suppose 5*k - 43 + a = 0. Calculate the remainder when k is divided by 5.
3
Let z = 0 + 9. Let q(s) = -4*s + 1. Let r be q(12). Let p = r + 80. What is the remainder when p is divided by z?
6
Let a(f) = f**2 - 18*f - 27. What is the remainder when a(20) is divided by 5?
3
Let i(l) = 7*l - 62. Calculate the remainder when 43 is divided by i(11).
13
Let g = 5 + -6. Calculate the remainder when g/(-1 - 84/(-87)) is divided by 8.
5
Let m = 15 + 4. Calculate the remainder when m is divided by 11.
8
Suppose 2*k - 125 = -17. What is the remainder when k is divided by 21?
12
Let z(k) = 5*k - 2. Let c = 349 + -313. What is the remainder when c is divided by z(3)?
10
Calculate the remainder when 74 is divided by (-14)/(-14) + (0 - -25 - 0).
22
Let x = -32 + 59. Calculate the remainder when x is divided by 15.
12
Let l(r) = -20*r**2 - 1. Let f be l(1). Let c = 33 + f. Suppose -2*i - 2*j + 134 = 2*i, 5*i - 3*j = 184. What is the remainder when i is divided by c?
11
Suppose -10 = -3*h - 2*h, 2*h = 4*m - 16. What is the remainder when 37 is divided by 16 + (m - 2 - 6)?
11
Suppose 0*j = -4*b + 2*j + 88, -3*j = 6. Let r(v) = v**3 + 6*v**2 + 7*v + 7. Calculate the remainder when b is divided by r(-4).
10
Suppose 0 = 2*t - t - 13. What is the remainder when 51 is divided by t?
12
Suppose -5*b + h = -5, 2*b + 2*h - 29 = -3*h. Let l(u) be the first derivative of 4*u**2 - 2*u + 3. Calculate the remainder when l(b) is divided by 8.
6
Let j(r) be the third derivative of -r**4/8 - r**3/2 - r**2. Let h(f) = 2*f**2 + 35*f - 10. What is the remainder when j(-6) is divided by h(-18)?
7
Suppose 4*r - 5*t - 48 = 0, -12 = -3*r - 2*t + 1. Let d = 14 - r. What is the remainder when d is divided by -1 + 0 + 1*4?
1
Let r = -13 - -38. What is the remainder when 99 is divided by r?
24
Let o(h) = -h**3 + 6*h**2 - 4*h + 7. Let w(c) = -27*c - 8. What is the remainder when w(-2) is divided by o(5)?
10
Suppose -8*q = -287 - 177. What is the remainder when q is divided by 20?
18
Let l(y) = -y**3 - y**2 + 2*y + 1. Suppose 0 = 5*u + 4 + 6. Calculate the remainder when 2 is divided by l(u).
0
Suppose -5*f - 21 = -1, -3*b - 4*f + 20 = 0. Calculate the remainder when 57 is divided by b.
9
Calculate the remainder when (-32)/(1 + -3) - 2 is divided by 5.
4
Let k be (-2 + -1)*(-12)/(-3). Let u = 26 + k. Let x = 21 - u. What is the remainder when 20 is divided by x?
6
Let a = -60 + 116. Let g = a - 8. Suppose -2*z = 2*o - g, -2*o - 3*z + 9 = -41. Calculate the remainder when o is divided by 8.
6
Let n = 1 - -3. Let k(y) = -y**3 - 4*y**2 - 2*y + 5. Let t be (-4)/(-2)*8/(-4). Calculate the remainder when k(t) is divided by n.
1
Suppose 0 = -9*d + 6*d + 93. What is the remainder when d is divided by 8?
7
Suppose -2*l + 16 + 22 = -2*p, 25 = -p - l. Let k = -16 - p. Suppose 4*w - 12 = 4. Calculate the remainder when k is divided by w.
2
What is the remainder when 15/(3 - (45/6)/5) is divided by 7?
3
Calculate the remainder when (-9)/2*2/(-3) is divided by 2.
1
Let s = -175 - -190. What is the remainder when 104 is divided by s?
14
Suppose -t + 3*v = -v - 29, 0 = 3*t - 4*v - 47. What is the remainder when 15 is divided by t?
6
Let c(l) = -l**3 - 6*l**2 - 8*l. What is the remainder when 73 is divided by c(-5)?
13
Let b be 2*(-1 + 15/6). Let a(w) = -w**3 - 10*w**2 + 10*w - 6. Calculate the remainder when a(-11) is divided by b*2/6*4.
1
Let k(x) = -7*x - 1. Suppose -4*s = -3*m - 1 + 3, 4 = -2*m. What is the remainder when k(s) is divided by 7?
6
Let x be 8/(-12)*(-17 + 2). Suppose p - x = 1. What is the remainder when (-2)/6 + 122/6 is divided by p?
9
Suppose y + 3*y = 24. Let m(l) = l**2 - 5*l + 9. Let w be m(y). Suppose 3*n = w, -5*q + 75 = -n - 0*n. Calculate the remainder when 62 is divided by q.
14
Let m(o) = 3*