ve of 5*h**4/24 + h**3/2 + h**2. Calculate the remainder when f(5) is divided by ((-15)/9)/(-4 + (-70)/(-18)).
13
Let k(n) = -n**3 - 5*n**2 - n + 6. Let m be k(-6). Suppose 7*y - m = -y. Let p(d) = -3*d - 8. Calculate the remainder when p(-7) is divided by y.
1
Suppose -20 = -4*z - 4*h, -h = -3*z - 5*h + 17. Suppose t + 24 = z*t. Let v = 1105 + -1058. Calculate the remainder when v is divided by t.
11
Let z = 6 - -7. Let l = -19807 + 19844. Calculate the remainder when l is divided by z.
11
Let l = 35 - 101. What is the remainder when 6 is divided by (-60)/(-33) - 12/l?
0
Let x(j) = 3*j + 1. Let c be x(6). Suppose 3*n - 5*k - c = 0, n + 15 = 6*n - 5*k. Calculate the remainder when 41 is divided by (-5 - n - -18) + -4.
8
Suppose 4*t - 3*h = 19, -2*t - 11 = -6*t - 5*h. Suppose t*j - 108 = -2*r, 5*j + 56 - 209 = 2*r. Calculate the remainder when j is divided by 4.
1
Let t(a) = 6*a**2 - 25*a + 67. What is the remainder when t(3) is divided by 12?
10
Let u(x) be the third derivative of x**4/12 + 12*x**2. Calculate the remainder when u(11) is divided by 15.
7
Let s = 21 - 9. Calculate the remainder when 68 is divided by s.
8
Let k = 1626 + -1599. What is the remainder when 68 is divided by k?
14
Suppose 243*h - 248*h + 835 = 0. Suppose -z + 3*v + 36 = 5*v, 0 = 3*z + 4*v - 114. Calculate the remainder when h is divided by z.
41
Let r(h) = -19*h + 67. Calculate the remainder when r(-2) is divided by 28.
21
Let s(u) be the first derivative of u**2/2 + 10*u + 1. Let n be s(15). Let d = -13 + n. What is the remainder when d is divided by 5?
2
Let w(t) = -t**3 - 70*t**2 - 71*t - 3. What is the remainder when w(-69) is divided by 59?
17
What is the remainder when (390/(-105))/((-80)/(-28) + -3) is divided by 17?
9
Let z(v) = 2*v**2 - 29*v - 274. What is the remainder when z(-9) is divided by 23?
11
Let i be 1/(-2)*(-13 - 1). Suppose 0 = -2*z + 2*b + 28, b = i*z - 3*z - 65. Suppose -7*k + 88 = -4*k + 19*k. What is the remainder when z is divided by k?
1
Suppose 0 = 20*o + 7*o - 540. What is the remainder when o is divided by 8?
4
Let j be (3 + -3)*(-2)/2. Suppose -3*g - 20 - 28 = j. Let t = -2 - g. What is the remainder when t is divided by 9?
5
Let v = 164 + -121. Suppose -5*i - 6 = -1. Calculate the remainder when v is divided by -1 + i - (-20 + 3).
13
Suppose 528 - 144 = 6*q. Calculate the remainder when q is divided by 21.
1
Let h = -11 - -4. Let n be (h/14)/(2/(-924)). Suppose 4*f + 3*m = -29 + n, -3*m = -2*f + 92. Calculate the remainder when f is divided by 13.
10
Let l = 192 + -178. Calculate the remainder when l is divided by 11.
3
Let l = -30 + 50. Calculate the remainder when 93 is divided by l/(-40)*-12*4.
21
Calculate the remainder when 139 is divided by (-176)/(-5) - (-5)/(-75)*3.
34
Suppose 0 = 39*s + 2576 - 13379. What is the remainder when s is divided by 94?
89
Suppose -c = -2*y - 44, -26*y + 30*y = -c + 56. What is the remainder when 575 is divided by c?
47
What is the remainder when (14 - 11)*1*634/6 is divided by 106?
105
Let s = -171 - -181. What is the remainder when 27 is divided by s?
7
Let y = 76 + -68. Suppose f = -3*l + 1, 5*f - 33 = 5*l - y. What is the remainder when 21 is divided by f?
1
Suppose q = 3*f - q - 67, 49 = 2*f + 3*q. Let v be (-4)/(-2) - (0 - -2). Suppose p = f - v. Calculate the remainder when 45 is divided by p.
22
Suppose -131*x + 80*x + 204 = 0. Calculate the remainder when 209 is divided by x.
1
Let v = 1178 - 644. Calculate the remainder when v is divided by 131.
10
Let y(z) = -9*z + 3. Let w be y(-2). Suppose k - 8 - w = 0. Let s = 51 - k. Calculate the remainder when s is divided by 6.
4
Let u(c) = 3*c - 10. Let x be u(4). Let i(v) = 2*v**2 - 4. Suppose 20 = -10*t + 12*t. Calculate the remainder when t is divided by i(x).
2
Suppose 5*u - 44 = 3*u. Suppose -10*z + u = -58. What is the remainder when z is divided by 5?
3
Let f = -56 + 71. Suppose -2*b + 23 = q - 7*b, 0 = -3*q - 3*b + f. What is the remainder when 70 is divided by q?
6
Let a(f) = -4*f**3 - 156*f**2 + 18. Suppose -2*m - 42 = -3*p + 2*m, -p + 16 = -2*m. What is the remainder when a(-39) is divided by p?
8
Suppose a - 89 = -2*j - 0*a, 132 = 3*j + 2*a. What is the remainder when 271 is divided by j?
41
Suppose x - 17 = -5*i, 32 = 5*i - 4*x - 0*x. Suppose 3*a - i*u + 91 = 0, 0 + 59 = -3*a - 4*u. Let m = a - -94. Calculate the remainder when m is divided by 18.
15
Let m(s) = -s**3 + 8*s**2 - 11*s + 8. Suppose 3*b + 33 = 5*f, -1 = -3*b - 4. What is the remainder when 122/5 + (-4)/10 is divided by m(f)?
10
Let l(g) be the third derivative of -g**4/6 - 17*g**3/6 - 11*g**2. Calculate the remainder when 19 is divided by l(-7).
8
Let a(d) = -6 + 15 - 5*d + 12*d. Calculate the remainder when a(10) is divided by 27.
25
Suppose -2*h = -6*h - 4*c + 32, 76 = 5*h - 4*c. Let w(x) = -14*x - 48. Calculate the remainder when h is divided by w(-4).
4
Let a = -607 + 614. Calculate the remainder when a is divided by 3.
1
Let u(y) = -y - 2*y**2 - 5*y + 12 + 5*y**2 - 1. Let x be 40/15*(-2)/(8/(-6)). What is the remainder when u(x) is divided by 13?
9
Suppose 92*d - 96*d + 16 = 0. Suppose 0 = -2*q + d*s + 62, -q - 4*s + 7 = -6. What is the remainder when q is divided by 6?
1
Let q(d) = d**2 - 7*d - 7. What is the remainder when q(-10) is divided by 49?
16
Suppose 0 = -2*c + c - 5*z - 28, -3*c - 5*z = 114. Let v = c + 53. Calculate the remainder when 48 is divided by v.
8
What is the remainder when (-1)/2*6 + 69 is divided by (408/(-32))/((-3)/4)?
15
Let r(b) = 3*b - 4. Let y(z) = 6*z**3 - 2*z**2 + 2*z - 1. Let v = 22 - 21. Let n be y(v). What is the remainder when r(n) is divided by 6?
5
Suppose -t - p + 709 = 0, -2*p - 2129 = -3*t - 7*p. What is the remainder when t is divided by 71?
69
Calculate the remainder when 70 is divided by 16/(-8)*(4 - (6 - -4)).
10
Suppose 3*p - 5*t = -6, -3*t + 8*t - 15 = 0. Suppose 5*j = 3*n + 89, p*j + 38 = 5*j - 2*n. Calculate the remainder when j is divided by 6.
4
What is the remainder when 1*3*(-250)/(-6) is divided by (76/19)/(18/16 + -1)?
29
Let l be (1 - (-3 - -2)) + -31. Let s = -102 + 78. Let j = s - l. What is the remainder when j is divided by 4?
1
Suppose -5*c + 4*d - 3*d + 20 = 0, 2*d = 0. Suppose -c = -y - 0. Suppose -11 = 3*v - y*v. Calculate the remainder when 30 is divided by v.
8
Suppose 6*v - 5*v = 2*h - 115, 4*h - v - 233 = 0. Calculate the remainder when h is divided by 50.
9
Let r = -17 + 11. Let s = r + 7. What is the remainder when (0 - -1)*57*s is divided by 15?
12
Let x = 1648 + -757. What is the remainder when x is divided by 150?
141
Suppose 0 = -5*h - l + 209, 5*h - 3*h = 4*l + 66. Calculate the remainder when 327 is divided by h.
40
Suppose -2*z - 3*s = -735, z + 3*z + s = 1455. Calculate the remainder when z is divided by 39.
12
Let k be (-260)/(-25) - (-2)/(-5). Let q(l) = -l**2 + 2*l - 2 + 4*l - k*l. What is the remainder when q(-2) is divided by 1?
0
Suppose 0 = 5*m - 2*d + 82, 2*d - 25 = m - 7. Let l = m + 18. Suppose -3*x + 45 = l*x. Calculate the remainder when 24 is divided by x.
6
Let h = 228 + -213. What is the remainder when h is divided by 6?
3
Suppose 18*y - 496 + 64 = 0. What is the remainder when 47 is divided by y?
23
Suppose 4*a = -0*a, -3*g + 5*a = -261. What is the remainder when 256 is divided by g?
82
Let m = 28 - 14. What is the remainder when 335 is divided by m?
13
Let z = -27 + 50. Let k(p) = 117*p - 683. What is the remainder when k(7) is divided by z?
21
Suppose 0 = d - 2. Suppose x - d*x = -30. Let o(g) = -16*g - 40. What is the remainder when x is divided by o(-3)?
6
Suppose 5*z = 5*k - 965, -k = 9*z - 7*z - 196. What is the remainder when k is divided by 42?
26
Let j be (-6)/(-12)*(1 + 25). Suppose -25 - j = -2*c. Calculate the remainder when c is divided by 11.
8
Suppose 68 = h + 2*n, 3*n = -2*h + 7*n + 144. What is the remainder when h is divided by 12?
10
Let b = 11 + 0. Let s = 196 + -193. Suppose 0 = -s*f + 19 + b. What is the remainder when 27 is divided by f?
7
Let d(q) = 2*q**2 + 28*q - 58. What is the remainder when d(-18) is divided by 15?
11
Let c be (-40)/90*27/(-6). Suppose 0*h - 56 = -2*h + 5*j, -3*h + 62 = -c*j. Calculate the remainder when 106 is divided by h.
16
Suppose 3*k - 59 = -p, 3*k + 17 = -4*p + 64. Let n = 296 + -298. What is the remainder when 42 is d