n**3 + 9*n - 15*n + 2*n**2. Let d be k(-6). Suppose -u = -7 - d. What is the remainder when u is divided by 10?
7
Let q = -15 + 19. What is the remainder when 8/(2 - q) - -70 is divided by 17?
15
Suppose -n + 15 = -0*n. Let m(o) = 29*o - 1. Let f(d) = d**3 + 7*d**2 + 2. Let r be f(-7). Calculate the remainder when m(r) is divided by n.
12
Suppose -2*x + 3*i + 150 = 0, -3*x + 271 = 5*i + 8. Suppose 15*u - 440 = -260. What is the remainder when x is divided by u?
9
Suppose -4*h + 132 - 16 = 0. Let k(p) = p**2 + p + 1. Let y be k(0). What is the remainder when h is divided by (5 - y) + 14/2?
7
What is the remainder when ((-728)/(-40) + 4)*10 is divided by 32?
30
Let d(s) = -276*s - 2. Calculate the remainder when d(-1) is divided by 70.
64
Let z = 804 + -689. Calculate the remainder when 3907 is divided by z.
112
Let f = 22 - -48. Suppose -f*v = -74*v + 8. What is the remainder when 8 is divided by v?
0
Let d(f) = -f**3 - 23*f**2 - f - 1. What is the remainder when 174 is divided by d(-23)?
20
Let j = 9 - 15. Let i = 29 + -18. What is the remainder when (1/2)/(j/(-504)) is divided by i?
9
Let u(s) = s + 8. Let a be u(-6). Calculate the remainder when 9 is divided by 124/24 - a/12.
4
Suppose -i = k - 5, 12 = 3*k + 4*i - 2. What is the remainder when 57 is divided by k?
3
Let o(i) = i**2 - i + 7. Let q = 26 + -20. What is the remainder when o(0) is divided by q?
1
Suppose -32 = -n - 4*g, -3*n + 7*n - 73 = -5*g. What is the remainder when 45 is divided by n?
9
Let s = -28 + 70. Let t = 49 - s. What is the remainder when t is divided by 6?
1
Let t(x) = x**2 + 17. Calculate the remainder when 271 is divided by t(0).
16
Let s(j) = 2*j**3 + 35*j**2 - 22*j - 39. Suppose c + 28 = 5*q, 3*c - 4*q + 41 + 21 = 0. Suppose -f + 130 = 1. What is the remainder when f is divided by s(c)?
30
Suppose -11 = 4*x - 39. Suppose -x*m = -2*m - 155. Let a = -34 + 50. Calculate the remainder when m is divided by a.
15
What is the remainder when 83 is divided by 39 + 6/(-6) + (-6)/2?
13
What is the remainder when -2*((-396)/8)/3 is divided by 29/3 - 238/357?
6
What is the remainder when 12 - (-16 - -11 - 86) is divided by 8?
7
Let r(j) = j**2 - 22*j + 30. Let c be r(20). Let f = c + 20. Calculate the remainder when 19 is divided by f.
9
Suppose r - 2*r + 337 = -3*l, 2*r + 4*l = 644. What is the remainder when r is divided by 83?
79
Let z be (0 - (-15 - -1)) + 1. Suppose -15 = -5*v + z. Calculate the remainder when v is divided by 4.
2
Suppose -i + 2*c + 9 = c, i - 2*c = 12. Suppose -2*m = -i*m - 92. Let x = -17 - m. Calculate the remainder when 28 is divided by x.
4
Let s = -27 - -28. What is the remainder when 2*(3 - 1/s) is divided by 3?
1
Suppose -3*l + 49 + 128 = 0. Suppose 5*x + 2*c - 243 = 0, -x - 2*c + l = 4. Calculate the remainder when x is divided by 12.
11
Let r = 184 + -154. Calculate the remainder when r is divided by (2/(-8))/(2/(-88)).
8
Let j be (-198)/12 - (-3)/(-2). Let v be j/(-36)*(5 + 1). Suppose 0*c = v*o - 4*c - 33, -c + 3 = 0. What is the remainder when o is divided by 6?
3
Suppose -3*b = -8 + 2. Suppose -3*x - 5*a = -x + 6, x = -5*a - 8. Suppose -x*j = p - 2, -22 = -b*p + 3*j + 10. What is the remainder when p is divided by 4?
2
Let u = 10 - 18. Let w(i) be the first derivative of i**4/4 + 7*i**3/3 - 5*i**2 - 11*i - 31. What is the remainder when w(u) is divided by 4?
1
Suppose 4*y + 14 = -x - 10, -5*x + 3*y = 5. Let i = -13 + x. Let t = i + 25. Calculate the remainder when 38 is divided by t.
6
Calculate the remainder when (-10740)/(-270) + 4/18 is divided by 21.
19
Suppose 4 = 4*r, -z - 4*r = -r + 4. Let m be (114/133)/(1/z). Let s(x) = x**3 + 7*x**2 + 5*x - 1. What is the remainder when s(m) is divided by 4?
1
Suppose 37*m - 39*m + 3*g = -26, 2*g = 12. Suppose 0 = 3*c - 57 - 12. What is the remainder when c is divided by m?
1
Let h be 4*-89*(-1)/2. Suppose -4*t + 5*c = -h, 3 - 9 = 3*c. What is the remainder when t is divided by 11?
9
Suppose -m + 9*j + 189 = 4*j, -2*j = 4*m - 822. What is the remainder when m is divided by 21?
15
Let p = -14 - -24. Suppose -6*k + 5*m = -k - 125, 2*k = -m + 62. What is the remainder when k is divided by (-1)/(-5) + 148/p?
14
Suppose d - 2*m = -3*m + 126, 2*d - 5*m - 238 = 0. Let h = 171 - d. Calculate the remainder when h is divided by 7.
5
Let p(h) = 19*h + 4. What is the remainder when 15 is divided by p(0)?
3
Let f be (-6 + 60/18)/(2/48). Suppose -w = -g - 23, 3*w - w - 4*g = 48. What is the remainder when w is divided by (f/24 - 2/(-3)) + 14?
10
Let g = 1679 + -1061. Calculate the remainder when g is divided by 69.
66
Suppose 4*y = -2*f + 13 - 125, -2*y - 3*f = 60. Suppose 2*a + 4*b + 100 = 6*a, -74 = -2*a - 4*b. What is the remainder when a is divided by 43/3 - 18/y?
14
Let i(q) = 2*q + 6. Let m be i(-9). Let d(a) = a**2 + 10*a - 10. Let g be d(m). Let s = 31 - g. Calculate the remainder when 65 is divided by s.
14
Let p = 149 - 145. What is the remainder when 87 is divided by p?
3
Let i = 475 - 463. Calculate the remainder when 334 is divided by i.
10
Let t(c) = 2*c**3 - 5*c**2 - 8*c + 12. Calculate the remainder when t(4) is divided by 8.
4
Let r = 13 - 8. Let q(o) = -o**3 + 11*o**2 - 10*o - 7. What is the remainder when q(r) is divided by 19?
17
Suppose -n - 2*s + 15 = -5*s, 35 = 3*n + s. Let z be 80/(-12)*(-27)/(-6). Let w = -7 - z. Calculate the remainder when w is divided by n.
11
Let b be ((-2)/(-3) - (-8)/(-3)) + 1. Let p(m) = 11*m**2 - m - 1. What is the remainder when p(b) is divided by 5?
1
Calculate the remainder when 359 is divided by -56*(-10)/10 + -3.
41
Suppose 5*s + 112 = 2*u, 0 = -2*u - s - 4*s + 132. Suppose -p + 4059 = 4050. Calculate the remainder when u is divided by p.
7
Suppose -2*h - 429 = -5*d, 0*h - 81 = -d - 2*h. Suppose 0 = 2*b - 69 - d. Suppose b = 3*o - 34. Calculate the remainder when 71 is divided by o.
34
Let z = 19 - -1. Suppose 2*a - 3*r - 3 = 0, 3*r - 42 = -3*a - 0*r. Calculate the remainder when z is divided by ((-24)/a)/((-4)/18).
8
Suppose 346 - 516 = -10*k. Suppose -2*r + 15 = r. What is the remainder when k is divided by r?
2
Suppose -9 = -d + l, 4*d = d - 2*l + 42. What is the remainder when 10/14 + -1 + 3240/70 is divided by d?
10
Suppose 0*k - 121 = -5*v - k, 1 = k. Let h = -14 + v. Calculate the remainder when h is divided by 1 + 0 - (-5)/1.
4
Let m(z) = -z**3 - 5*z**2 + 8*z + 5. Let b be m(-6). Suppose 3*v + 4*c - 79 = 0, c + 0*c = 1. What is the remainder when v is divided by 15/(-3)*b/5?
4
Suppose -3*a + a = 0. Suppose 7*i - 5*i = a. Let c(o) = o + 1. What is the remainder when c(i) is divided by 1?
0
Let l = -426 + 624. Calculate the remainder when l is divided by 49.
2
Let m = 31 - 27. Suppose -4*d + 94 = -h + m*h, -5*h - d = -151. Calculate the remainder when h is divided by 11.
8
Suppose 3*u = -5*l + 186, l + 4*u = -3*l + 152. Let n = -21 + l. Suppose 4*b + r = 18, -b + 0*r = -r - 2. Calculate the remainder when n is divided by b.
3
Suppose 7 + 5 = b - 3*d, 5*d = 5*b - 50. Let m = 21 + b. What is the remainder when m is divided by 8?
6
Let j(d) = -3*d**2 - 42*d + 13. What is the remainder when j(-10) is divided by 46?
41
Let l(i) be the first derivative of i**2 - 31*i - 6. Let h be l(15). Let b = h - -16. Calculate the remainder when b is divided by 9.
6
Let j be ((-8)/5)/(6/10 - 1). Suppose 100 = j*g - 2*o, 10*g + 2*o - 89 = 7*g. What is the remainder when g is divided by 16?
11
Let t(n) = 8*n**2 + 4*n + 4. Suppose 0*a = -3*a - 3. Calculate the remainder when ((-13)/((-26)/(-60)))/(-2) is divided by t(a).
7
Let u(m) = m**3 + 36*m**2 + 38*m + 107. Calculate the remainder when 2/4 - (-25)/10 is divided by u(-35).
1
Suppose -5*u + z + 833 = 0, -u - 25 = -4*z - 203. What is the remainder when u is divided by 10?
6
Suppose 120 = 5*c - 5*y, -2*c + 44 = -4*y - 0. Suppose -d + 17 = -4. Suppose 9*i - 111 = -d. What is the remainder when c is divided by i?
6
Suppose 9*r = r + 336. Calculate the remainder when r is divided by 40.
2
Suppose -94*l + 4617 = -17849. Calculate the remainder when 728 is divided by l.
11
Let y = 172 - 119. Let a = 9 + -7. Suppose b + a = 20. Calculate the remainder when y is divided by b.
17
Let l = 63 - 97. Let q = -31 - l. What is the remainder when 10 is divided by q?
1
Suppose 18*n = 23*n + 5*h - 40, -3*n + 12 = -3*h. What is the re