remainder when ((-4)/2)/l + 45 is divided by j?
10
Let q(i) = 2*i + 24 - 6 + i**3 - 1. Calculate the remainder when 398/8 - 3/(-12) is divided by q(0).
16
Let i = 85 - 83. Suppose -3*m + 8 = 3*k + i*m, 3*m + 18 = 2*k. What is the remainder when 27 is divided by k?
3
Let r(v) = v**2 - 161*v + 6 + v**3 + 161*v. Let l be r(0). What is the remainder when 33 is divided by (-6 - -4)/((-2)/l)?
3
Let g(r) = r**3 + 12*r**2 + 10*r - 5. Calculate the remainder when g(-8) is divided by 47.
30
Let t(z) = 2*z**2 + 3*z. Let h(u) = 17*u + 1. What is the remainder when h(3) is divided by t(3)?
25
Let m = -305 - -434. Let g = 1423 - 1401. Calculate the remainder when m is divided by g.
19
Suppose 37 = -8*p + 77. Suppose w + 11 = p*v, 3*w + v - 38 = 9. What is the remainder when 38 is divided by w?
10
Let n = -50 + 60. What is the remainder when -2 - (-1)/((-2)/(-58)) is divided by n?
7
Let u be (-5)/10 + (-59)/2. Let k = u - -55. Calculate the remainder when k is divided by 7.
4
Let w = -84 - -157. Let z = 84 - w. Calculate the remainder when 29 is divided by z.
7
Let z(r) = 41*r**2 - 120*r - 30. What is the remainder when z(9) is divided by 28?
27
Calculate the remainder when 7/9 + -1 + 3289/99 is divided by 9.
6
Let i = 4 - 2. Let t = i + -11. Let f(z) = -z + 11. Calculate the remainder when 57 is divided by f(t).
17
Suppose -k = -26 - 12. Let a = 4 + k. Suppose -4*x + 111 = 5*s + 9, 0 = 4*x + 8. Calculate the remainder when a is divided by s.
20
Let g be (-1)/(-2)*0/(-2). Let p(q) = q**2 - q + 14. Let h = -445 - -486. Calculate the remainder when h is divided by p(g).
13
Suppose v - 10 = 4*l, -v - 2*l + 8 + 14 = 0. Suppose -14*c = -9*c - 240. Let g = 81 - c. What is the remainder when g is divided by v?
15
Let l = 228 + -129. Let s = l - 71. What is the remainder when s is divided by 10?
8
Let o(t) = t**2 - 10*t. Let x be o(10). Suppose -q + 0*q + 41 = x. Suppose 0 = 5*y - q - 54. Calculate the remainder when y is divided by 10.
9
Let w be 362/5 - (-9)/15. Let o = -67 + w. What is the remainder when 51 is divided by o?
3
Let q = -64 + 73. Suppose 2*t + 37 = 3*s, -4*s = -q*s - 5*t + 95. What is the remainder when s is divided by 6?
3
Let i(t) = t + 12. Let m be i(-6). Let z be (-3)/m*-4 - 1. Calculate the remainder when 0 - (-3)/z - -55 is divided by 15.
13
Let x = -28 - -32. Suppose -4*b = -3*v - 18, -20 = -2*b - 2*b + x*v. What is the remainder when 12 is divided by b?
0
Suppose 3*x - 51 = 5*m - 3*m, -x + 5*m = -17. Calculate the remainder when 134 is divided by x.
15
Let h = -370 - -383. Suppose a - 44 = 7. What is the remainder when a is divided by h?
12
Calculate the remainder when 888 is divided by 2378/16 - 117/(-312).
143
Suppose -c = -5 + 1, -2*f = 5*c - 40. Let l = -59 + 99. Calculate the remainder when 61/4 - f/l is divided by 9.
6
Suppose -2*n - 3*n = 80. Let u = 3 - n. Calculate the remainder when 75 is divided by u.
18
Let u(i) be the second derivative of 12*i - 3/2*i**2 + 0 - 1/6*i**3. Calculate the remainder when 53 is divided by u(-9).
5
Suppose -4*w + 189 = 161. Calculate the remainder when 501 is divided by w.
4
Suppose -u - 24 = -5*u. Let x(a) = -9 + 5*a + 21*a**2 + 17 - 20*a**2. What is the remainder when x(u) is divided by 19?
17
Suppose 7*h - 34 = k + 2*h, -52 = 4*k + h. Let n = 24 + k. What is the remainder when 39 is divided by n?
9
Suppose -124 = 6*g - 10*g. Suppose g = t + 5. Calculate the remainder when 32 is divided by (-4)/1 + (t - 5).
15
Let w(f) = -f**3 - 5*f**2 - 7*f - 5. Let o be w(-4). Suppose o*n - 2*n = 30. Let j = 703 + -682. What is the remainder when j is divided by n?
3
Suppose -4*k + 2*n = -58, -20 = -k + 4*n - 2. Calculate the remainder when k is divided by 14.
0
Let i(u) = -u**3 + 7*u**2 + 7*u + 12. Let l be i(8). Suppose -a + l*a = 21. Calculate the remainder when a is divided by 5.
2
Let r(y) = -y. Let q(m) = 2*m - 2. Let j(x) = 2*q(x) + 10*r(x). Calculate the remainder when j(-7) is divided by 6.
2
Suppose -4*j + 42 = -t, 0 = 5*j - 2*t - 0*t - 54. Let b be (10/(-4))/(3/(-6)). Suppose 152 = -o + b*o. Calculate the remainder when o is divided by j.
8
Calculate the remainder when 3/(-5 - -17)*324 is divided by 46.
35
Suppose 411*m = 403*m + 696. Calculate the remainder when m is divided by 34.
19
Let y = -13 + 15. Suppose 3*c + 4*k - 28 = 0, 0*c + k - 12 = -y*c. Calculate the remainder when 27 is divided by c.
3
Suppose -32 = -m + 5*v, -2*m + 3 + 1 = 2*v. Let q = m - 11. What is the remainder when (q - -9)*192/15 is divided by 17?
13
Let d = 1 - -26. Let b = d + -4. Calculate the remainder when 43 is divided by b.
20
Suppose -43*n + 41*n + 94 = 0. Calculate the remainder when 138 is divided by n.
44
Calculate the remainder when 6 + -2*(0 + -10) is divided by 3.
2
Let n(z) = -z**3 - 5*z**2 + 7*z - 49. Let a be n(-7). Suppose a = 18*u + 36 - 144. Calculate the remainder when (-99)/(-6)*(-4)/(-3) is divided by u.
4
Let i be 2442/(-121) - (-2)/11. Let p = 36 + i. Let v(t) = t**3 + 6*t**2 + 5. What is the remainder when v(-5) is divided by p?
14
Let w(s) = -s**3 - 6*s**2 + 8*s + 9. Let x be w(-7). Suppose 12 = 3*n - x*n. Suppose 0 = 4*y - 28 - n. Calculate the remainder when 19 is divided by y.
9
Let h be 6/(-8) + 148/(-16). Let x = 1 - h. Calculate the remainder when 18 is divided by x.
7
Suppose -6*g + 5*g = -w - 1, 0 = g + 2*w - 16. Calculate the remainder when 43 is divided by g.
1
Suppose -3*w = -17 - 55. Let s be (8/(-6))/((-12)/(-18)). What is the remainder when w is divided by s/4 + (-27)/(-2)?
11
What is the remainder when 200 is divided by (7 - -1)/(1 - (-4)/(-8))?
8
Let c be ((-24)/6)/(-1 - 5/(-7)). Suppose 3*a - c - 19 = 0. What is the remainder when 65 is divided by a?
10
Let w = -27 - -25. Calculate the remainder when (-4 + 2)*(4/w - 2) is divided by 4.
0
Let t(x) = x**2 + 4*x - 12. Let g be t(-6). Suppose -5*z = 3*w - g*w - 55, z + 104 = 4*w. What is the remainder when 47 is divided by w?
22
Let r = -678 - -701. What is the remainder when r is divided by 14?
9
Calculate the remainder when (74/3)/(-3 + 145/45) is divided by 23.
19
Suppose 7*z = 4*z. Let r(b) = 8*b - 203. Let f be r(28). Suppose -f*o + 22*o - 56 = z. What is the remainder when o is divided by 15?
11
Let p(r) = 28*r**2. Let v be p(-1). Let f = 89 - v. What is the remainder when f is divided by 16?
13
Suppose -11177*b + 188 = -11173*b. Calculate the remainder when (-1)/(-2) - (-362)/4 is divided by b.
44
Let l(v) = 62*v**2 - 24*v + 47. What is the remainder when l(2) is divided by 22?
5
What is the remainder when 132 is divided by 15 + (-27)/(-12 + 9)?
12
Suppose -2*h + 5*m = -6*h + 231, -5*m - 153 = -2*h. Let v(z) = z**2 - 2*z + 2. Calculate the remainder when 3/((-4)/(h/(-1))) is divided by v(4).
8
Let z be (-44)/(-10) - 1/((-25)/15). Suppose o + 19 = -z*m, -4*m = -2*o - o + 38. Calculate the remainder when o is divided by 1.
0
Let f(t) be the third derivative of -t**5/60 - t**4/12 + 2*t**3/3 - 11*t**2. Calculate the remainder when 5 is divided by f(-3).
0
Suppose -5*a + 75 = 5*u, 3*a + 13 - 84 = -5*u. What is the remainder when 6/9*(248 - 179) is divided by u?
7
Let z = -135 + 172. Calculate the remainder when z is divided by 7.
2
Let x(b) = b**3 + 6*b**2 + 3*b + 5. Suppose 0 = -4*n + t - 54, 0*t - 60 = 5*n - 5*t. Let p = -10 - n. What is the remainder when x(-5) is divided by p?
3
Let h(f) = -17*f - 1. Suppose 0 = 4*t, 152 = 2*u + 2*t + t. Let a = u + -33. Calculate the remainder when a is divided by h(-1).
11
Let k = -84 - -44. What is the remainder when (1/1)/((-4)/(-32)) is divided by 5/k + (-66)/(-16)?
0
Let h = 994 - 420. Calculate the remainder when h is divided by 48.
46
Suppose -8*m + 5*m + 4*c - 954 = 0, -4*c = -4*m - 1268. Calculate the remainder when m/40*-4 + (-4)/10 is divided by 8.
7
Let h(m) = 4*m**2 + 79*m - 63. What is the remainder when h(-22) is divided by 28?
23
Let z = -49 - -16. Calculate the remainder when -3*(-3)/(-9) - z is divided by 9.
5
Calculate the remainder when (-4)/38 + 3 + (-118)/(-38) is divided by 6.
0
Let j(c) = 2*c**2 + 3*c + 5. Let i be j(-3). Calculate the remainder when 13 is divided by (-18)/63 + 130/i.
4
Suppose 22*j + 1971 = 31*j. Calculate the remainder when j is divided by 28.
23
Suppose 14*z - 418 - 352 = 0. What is the remainder when z is divided by 9?
1
Let d(b) be the second derivative