hat is the remainder when 6 - (-3)/(6/x) is divided by 1/(-3)*(-7 + -2)?
1
Let o = -1 + 5. Suppose -j - o*j = 40. What is the remainder when 2/j + (-135)/(-12) is divided by 6?
5
Suppose 4*v - 37 = 3*v. Calculate the remainder when v is divided by (-9 - -6)*(-19)/3.
18
Let k(a) = a**2 - 2*a + 1. Let p be (-1)/((-3)/9) + -2. Let j be k(p). Suppose x + 4*x - 30 = j. What is the remainder when 11 is divided by x?
5
Calculate the remainder when 214 is divided by (-1)/(3/(-53)) + 9/27.
16
Let w be (-4 + 18)*(-2)/(-4). Suppose -4*j = -12, -2*z + w*z - 61 = -2*j. What is the remainder when 18 is divided by z?
7
Let c = 1 - 0. Let d be -1*5*(-1)/c. Suppose 0 = -5*g - 4*y + 131, -d*y = -4*g + 163 - 50. What is the remainder when g is divided by 10?
7
Let s(r) = -3*r + 29. What is the remainder when s(9) is divided by (-15)/(-6)*(-8)/(-10)?
0
Let k(b) be the second derivative of b**3 - 3*b**2 + 6*b. What is the remainder when k(4) is divided by (30/(-2))/(3/(-2))?
8
Let c = -15 + 31. What is the remainder when 60 is divided by c?
12
Suppose -2*w = -w + 1. Let c = w - -30. Calculate the remainder when c is divided by 10.
9
Let g be (-2 + 1)/((-4)/24). Suppose -z - 215 = -g*z. Let x = -24 + z. What is the remainder when x is divided by 7?
5
Suppose -62 = -2*m + 2*o, -3*m = -5*o - 80 - 13. Calculate the remainder when m is divided by 11.
9
Suppose 0*m - m = -2. What is the remainder when 3 is divided by m?
1
What is the remainder when (-4)/(-5) - (-706)/5 is divided by 12?
10
Let j(c) = -8*c. Calculate the remainder when -2 - (-51 + -1 + 3) is divided by j(-3).
23
Let k(c) = c**2 + 25 + 5*c**3 + 24 - 4*c**3 - 18. Calculate the remainder when k(0) is divided by (2 + -1)*1 + 10.
9
Let h = 6 - 3. Suppose 5*w = m + 143, 3*w - h*m = w + 65. Suppose 69*j + 216 = 73*j. Calculate the remainder when j is divided by w.
26
Suppose 0 = 4*d - 6*d + 4. What is the remainder when -4 + d + 1*47 is divided by 12?
9
Let a(k) = k**2 + 4*k + 8. Calculate the remainder when 38 is divided by a(-4).
6
Let n(w) = w. Let m(x) = 8. Let h(u) = 2*m(u) - 2*n(u). Let p be h(13). What is the remainder when -2*2/4 - p is divided by 3?
0
Suppose 3*g - 66 = -9. Let f = 18 + g. What is the remainder when f is divided by 19?
18
Let d = 23 - 9. Calculate the remainder when (-1)/(-2) + 102/4 is divided by d.
12
Suppose 4*t = -4*h - 8, 0 = -3*h - t - 0 + 2. Suppose 32 = -0*x + x + s, h*x - 88 = 4*s. Calculate the remainder when x is divided by 13.
10
Let s = -14 - -39. Suppose -3*x + 5*u = -41, -s = -2*x - 4*u + 39. What is the remainder when 2 - (1 - 0) - -63 is divided by x?
20
Let n(g) = g**2 - 10*g + 5. Let m be n(5). Let h = m + 40. Suppose 3*u = 38 - 5. What is the remainder when h is divided by u?
9
Suppose 2*j = -6*l + 2*l + 34, 3*l + j = 23. What is the remainder when (l + -2 - 2) + 2 is divided by 2?
0
Suppose 2*q + 3*q + 75 = 0. Let y = q + 39. Suppose -4*t + 4 - y = -u, -13 = -u - 3*t. Calculate the remainder when u is divided by 9.
7
Suppose 0 = 5*y - 15 - 160. Let z = -18 + y. Calculate the remainder when z is divided by (-2)/(-3) - 32/(-6).
5
Let a(w) = w**3 + 6*w**2 - w + 12. Calculate the remainder when 162 is divided by a(-5).
36
Suppose -348 = -3*r + r + 2*z, -3*r = -z - 528. Calculate the remainder when r is divided by 45.
42
What is the remainder when 32/(-6)*(-4 - -4 - 3) is divided by 6?
4
Suppose -4 = -4*l - 8. Let v = l + 9. Let d = 56 - 34. Calculate the remainder when d is divided by v.
6
Let o(m) = -m**3 + 3*m**2 - 2*m - 4. Let a(r) = r**2 + r - 3. Let w be a(0). What is the remainder when o(w) is divided by 19?
18
Suppose 9 - 53 = -2*c. Let j = 51 - c. Calculate the remainder when j is divided by 8.
5
What is the remainder when (19/(-76))/(2*(-3)/6648) is divided by 28?
25
Let i = -27 + 48. What is the remainder when i is divided by 8?
5
Let w(o) = o + 1. Let u be w(4). Suppose 52 - u = 5*m + 4*j, 3*m - 41 = 4*j. What is the remainder when 42 is divided by m?
9
Let h = -12 + 32. Let n(s) = -10 + 13*s + 10. Calculate the remainder when n(3) is divided by h.
19
Suppose -a + 14 + 7 = 0. What is the remainder when a is divided by 11?
10
Let m(c) = -c + 2. Let y(f) = -f. Let k be y(8). What is the remainder when 37 is divided by m(k)?
7
Suppose 0 = -w - 4*a - 16, w = -w + 2*a + 18. What is the remainder when -4*(-2)/w - -36 is divided by 13?
12
Suppose 0 = -3*g - g + 36. Suppose -37 = -2*j + g. Let f(q) = -q**3 + 6*q**2 + 8*q + 5. Calculate the remainder when j is divided by f(7).
11
Suppose 0 = 2*x - 40 - 24. Suppose -2*m + 14 = -8. Calculate the remainder when x is divided by m.
10
What is the remainder when 38 is divided by (-360)/(-28) + 2/14?
12
Suppose 0 = 7*w - 2*w - 930. Suppose -3*d + w = 4*l - 189, l + 5*d = 81. Let n = -41 + l. What is the remainder when n is divided by 19?
17
Suppose 3*c = -6*u + 3*u - 3, -3*c = 2*u + 7. Let l = 14 - c. Let h = l - 12. What is the remainder when h is divided by 4?
3
Suppose 0 = 3*n - 2*f - 45, -4*n + 3*n + f = -14. What is the remainder when 49 is divided by n?
15
Let g = -5 - -4. Let m = g + 12. Let n = -21 - -41. What is the remainder when n is divided by m?
9
Let n = 16 + -12. Let u(z) = 8*z**2 + 2*z + 1. Let x be u(3). Calculate the remainder when 4/(-14) - x/(-7) is divided by n.
3
Suppose -5*l + 25 = 4*d, 0 = -4*l - d + 3*d + 20. Suppose 16 = a - l*r, -3*r - 3 = -a + 11. Calculate the remainder when 43 is divided by a.
10
Calculate the remainder when 63 is divided by 20*(-9)/((-135)/12).
15
Let c be (70/(-15))/((-2)/(-6)). Suppose 0 = -3*x + 16 + 8. What is the remainder when (c/(-3))/(1/3) is divided by x?
6
Let a(b) = 43*b. Suppose 0 = u + 2*u + 60. Calculate the remainder when a(1) is divided by (-6)/15 - 468/u.
20
Suppose -14*z = -10*z - 4. Suppose 2*w + 3*w - 15 = 0. Calculate the remainder when w is divided by z.
0
Suppose -q - 10 = -6*q. Suppose t = q*t + 1. Let x(g) = 47*g**2 + 1. Calculate the remainder when x(t) is divided by 17.
14
Suppose -4*h - m = -0*m - 14, 0 = -h - m + 2. What is the remainder when 22 is divided by h?
2
Let f be ((-2)/(-6))/(6/36). Suppose -4*d + 2 = -f*k, -4*k = 4*d - 2 - 6. Calculate the remainder when 1/3 - (-5)/3 is divided by k.
0
Let o(a) = -4*a + 20. What is the remainder when o(-11) is divided by 22?
20
Let a = 5 + 6. Suppose 223 - 106 = 3*y. What is the remainder when y is divided by a?
6
Suppose 31 = h + 26. Suppose 5*j + 41 - 131 = 0. What is the remainder when j is divided by h?
3
Suppose 0*r = 5*r - 30. What is the remainder when r is divided by 2?
0
Let b = -3 + 5. Suppose -b - 4 = -y. Calculate the remainder when y is divided by 4.
2
Let w(j) = j - 11. Let m be w(11). Suppose b - s - 4*s = m, -6 = -3*s. Let y = -8 + b. Calculate the remainder when 7 is divided by y.
1
Let v(q) be the third derivative of 7*q**5/15 + q**4/24 - 7*q**2. Calculate the remainder when 79 is divided by v(-1).
25
Let f = 43 - 21. Suppose -4*n - 119 = -7*n - 5*s, -3*n + 5*s + 139 = 0. What is the remainder when n is divided by f?
21
Suppose -2*a = 2*y, -5*y = -4*y - a - 6. Suppose q - y*q = -48. What is the remainder when q is divided by (-9)/((-27)/6) + 7?
6
Suppose -4*q + 125 = -55. What is the remainder when q is divided by 12?
9
Let t be 4 - (2 + 3/(-1)). Suppose -10*q + 275 = -t*q. Calculate the remainder when q is divided by 19.
17
Suppose -2*m = 10, m + 3*m + 17 = -3*o. Let d = 4 - o. Suppose -8 = -7*s + d*s. What is the remainder when 7 is divided by s?
1
Let r = -78 - -83. What is the remainder when 13 is divided by r?
3
What is the remainder when 35 is divided by 25/3 + -1 + (-12)/(-18)?
3
Let i = 17 + -2. Calculate the remainder when 74 is divided by i.
14
Let q(z) = 12*z - 2. Suppose 2*t = -4*c + 4, -t - 4*c = 2 + 2. What is the remainder when q(2) is divided by t?
6
Suppose -i - 4*i = 0. Suppose -8*s + 7*s + 26 = i. What is the remainder when s is divided by 14?
12
What is the remainder when (0 - 1)/((-2)/14) is divided by 4?
3
Let o(j) be the second derivative of 2*j**3/3 - 13*j**2/2 + j. Let x be o(9). Suppose -2*v + x = k, 6 = 3*k + 3. Calculate the remainder when v is divided by 6.
5
Suppose 4*b = 282 - 102. What is the remainder when b is divided by 23?
22
Let l = 25 - 5. Suppose -4*n = -n - 21. What is the remainder when l is divided by n?
6
Suppose 4*k = -4*i + 164, 0 = i - 