emainder when ((-87)/2)/(((-18)/8)/3) is divided by 10?
8
Let x = 19 + -10. Let c(p) = p - 1. Let z be c(1). Suppose -2*g + 3*u = -g - 3, -2*g - 4*u + 46 = z. What is the remainder when g is divided by x?
6
Suppose 2*f - 2*a = 10, 5*a - 12 = 8. What is the remainder when 44 is divided by f?
8
Let w be (-10)/15*51/2. Let m = 30 + w. Let y = -21 + 59. What is the remainder when y is divided by m?
12
Suppose 0 = -9*f + 5*f + 136. Calculate the remainder when f is divided by 9.
7
Let p be (-1)/((-2)/56) - 1. Let v = p - 10. What is the remainder when (-2)/9 + 1160/36 is divided by v?
15
Suppose 3*n = -3*r + 8*r - 350, 0 = -2*r - 5*n + 109. Suppose -5*q = 2 - r. What is the remainder when q is divided by 7?
6
Suppose -z + 2*z - 3 = 0. Let t = 3 + 2. Suppose -z = t*i - 13. What is the remainder when 5 is divided by i?
1
What is the remainder when 11 is divided by (-196)/(-35) - 4/(-10)?
5
Let q(p) = -p**2 - 7*p + 6. Let m be 2/((-1)/(-1 + 0)). Suppose m*l - 69 = -l. What is the remainder when l is divided by q(-6)?
11
Suppose 139 + 11 = 5*v. Let d = -7 - -15. What is the remainder when v is divided by d?
6
Let h = 11 + -7. Suppose 3*l = -h*q - 5, 2*q + 2*q = 5*l - 45. Suppose 3*w - w = 4*x + 36, 0 = 3*w - l*x - 54. What is the remainder when 34 is divided by w?
16
Suppose 12*n + 65 = 17*n. Calculate the remainder when 51 is divided by n.
12
Let i(u) = -u**2 - 12*u. Calculate the remainder when 32 is divided by i(-11).
10
Suppose 0 = -3*n + 27 + 3. Let q(w) = -w**3 + 7*w**2 + 4*w. Calculate the remainder when q(7) is divided by n.
8
Let a(l) = 5*l**3 + 13*l**2 + 3*l + 12. Let u(z) = -z**3 - z + 1. Let v(s) = -a(s) - 6*u(s). What is the remainder when v(13) is divided by 8?
5
Suppose 2*d + 12*z - 8*z + 2 = 0, -4*d = z - 10. What is the remainder when d is divided by 3?
0
Let u(m) = 2*m + 14. What is the remainder when 41 is divided by u(0)?
13
Suppose -2*i - 17 = -115. Suppose -68 = -4*j - 0*j. What is the remainder when i is divided by j?
15
Suppose -s + 25 = 4*s. Suppose s*t - 4*t - 1 = 0. Suppose -v + 8 = -t. What is the remainder when 25 is divided by v?
7
Let u(t) = -2*t**2 + 4 - t - 11*t**2 + 4*t**2 - t**3. Calculate the remainder when 1 - (-15)/(-6)*-20 is divided by u(-9).
12
Let d = 14 - 12. Suppose m - 6 = -d*f + 3*m, -4*m = -20. Calculate the remainder when 39 is divided by f.
7
Suppose -3*j + 5*j - 2*u = 26, 30 = 5*j + 2*u. Calculate the remainder when 22 is divided by j.
6
Calculate the remainder when 61*(3 + -2) + -2 is divided by 15.
14
Suppose -2*v = 5*d - 16, 3 = v - 5*d - 5. What is the remainder when v is divided by 3?
2
Calculate the remainder when 31 is divided by 5/(-25)*1*-85.
14
Let b = 165 + -72. What is the remainder when b is divided by 24?
21
Let m = 63 + -42. Suppose 4*v = 5*v - 61. Calculate the remainder when v is divided by m.
19
Suppose 5*p + 15 = -3*u + 2*u, 3*p - u = -1. What is the remainder when p/3 + 58/6 is divided by 4?
1
Let u = 50 - 23. Suppose 0 = f - 0*f - 15. Calculate the remainder when u is divided by f.
12
Let o = -1 - -4. Let i(c) = -c**3 - 6*c**2 - 6*c + 5. Let s be i(-5). Suppose o*d - s = d. Calculate the remainder when 13 is divided by d.
3
Let l(t) = 68*t**3 - 1. Let c be l(1). Let o = 111 - c. What is the remainder when o is divided by 15?
14
Suppose -5*n + 122 = 2*t - 4*t, 4*t + 124 = 5*n. Calculate the remainder when 70 is divided by n.
22
Let x = 80 - 70. What is the remainder when 26 is divided by x?
6
Suppose 3*l - 67 = a, -l - 2*l = -4*a - 52. What is the remainder when 69 is divided by l?
21
Suppose 4*j - 19 = 5*s + 61, 5*j = 5*s + 100. Suppose 20 = -5*h - 5, 3*h + 8 = -k. What is the remainder when j is divided by k?
6
Let b = 24 - 22. Let l(s) = -s**2 + 6*s + 4. Let u be l(6). Suppose 0*j + u*j - 4 = -4*v, -3*j + b = 4*v. What is the remainder when j is divided by 1?
0
Let f = 1 + -1. Suppose 5*t - 120 = y, t - 3*y - y - 43 = f. What is the remainder when (2 - (-69)/(-12))/(2/(-24)) is divided by t?
22
Let a(q) = 46*q**2 + q. Calculate the remainder when a(-1) is divided by 24.
21
Let l be (-4)/12 + 2/6. Suppose -2*h - 3*h + 10 = l. What is the remainder when h is divided by 1?
0
Let g = 37 - 23. Let r = 105 - 100. Calculate the remainder when g is divided by r.
4
Let x(l) be the first derivative of l**4/4 - 2*l**3 + 10*l + 4. Let m be 38/6 + 8/12. Calculate the remainder when x(m) is divided by 20.
19
Suppose -130 = -5*k - 0*k. Let o = -31 - -45. Calculate the remainder when k is divided by o.
12
Let o = 20 + -14. Let j = -1 + o. What is the remainder when 7 is divided by j?
2
Suppose 3*j = -4*o + 85, -4*j + 0*j = -4*o + 64. Let q = o + -5. Let t(p) = -7*p - 30. What is the remainder when t(-8) is divided by q?
12
Let y(k) = -3*k + k + k - 12 - 2*k. What is the remainder when y(-13) is divided by 15?
12
Let z(g) = g**2 - g + 13. Let v = -9 + 11. Suppose -9 - 6 = -3*o, 6 = 2*r - v*o. What is the remainder when z(0) is divided by r?
5
Suppose 7 = -n + 2*n. Suppose 0 = -n*g + g + 120. What is the remainder when 59 is divided by g?
19
Suppose 2 = -3*o + 20. Suppose o*j - 3*j + 26 = -4*k, 0 = -4*j - k - 13. Let z(g) = -14*g. Calculate the remainder when z(j) is divided by 10.
8
Let a(j) = j**3 + 4*j**2 - j - 4. Suppose 4*z - 256 - 101 = 3*u, -5*z - u + 451 = 0. Suppose 2 = -4*b + z. Calculate the remainder when b is divided by a(-3).
6
Suppose -3*c - 74 = -3*d - 7*c, -5*d - 2*c + 114 = 0. What is the remainder when 109 is divided by d?
21
Suppose 0 = 3*i - 6*i + 9. Suppose -5*s = -x + 5, -2*s - s + i = 0. What is the remainder when 19 is divided by x?
9
What is the remainder when 30 is divided by 10/3*288/60?
14
Suppose 5*v - 2*v + 1354 = 5*n, -4*v + 4*n = 1808. Calculate the remainder when 2/(-10) + v/(-15) is divided by 11.
8
Suppose 4 = -12*a + 14*a. Let u = -5 + 7. What is the remainder when u is divided by a?
0
Suppose 4*f + 4*o = 1096, -3*f - 4*o + 480 = -340. Suppose -4*g = 3*i - 2*i - f, 0 = i + 4. Calculate the remainder when g is divided by 24.
22
Suppose -4*f = 2*i - 162, -2*f = -4*i - 62 - 34. What is the remainder when f is divided by 15?
12
Let c be 2 + (-2 - -4)*1. Suppose -c*h = -k + 35 + 3, h - 106 = -5*k. Calculate the remainder when k is divided by 8.
6
Let i = 17 + -12. Suppose i = -b, -2*j + 4*b = -0*j - 26. What is the remainder when 3 is divided by j?
0
Let p(f) = 3*f + 3. Let s be p(-3). Calculate the remainder when (114/(-4))/(3/s) is divided by -1*2*15/(-2).
12
Suppose -2*s - s + 30 = 0. Let w = s - -15. What is the remainder when w is divided by 7?
4
Suppose 71 = 2*u - r, u = -u + 5*r + 67. Suppose -4*k + u = 3*q - 6*k, -24 = -2*q + 5*k. Calculate the remainder when 21 is divided by q.
9
Let b be 1/(-5) + 22/10. Let r(d) = -d**3 + 11*d**2 - 7*d - 8. Let n be r(8). Suppose -b*f + n = 2*f. Calculate the remainder when f is divided by 11.
10
Suppose -5*i = -80 + 20. Calculate the remainder when i is divided by 4.
0
Let s = 46 + -27. Let l = 13 - 6. What is the remainder when s is divided by l?
5
Let p(s) = 2*s - 5. What is the remainder when 291 is divided by p(13)?
18
Let i(z) = -z**2 + 6*z - 3. Let f be i(4). Suppose 0 = -5*s - 2*d + 5, -d + 3 = f*s - 7. What is the remainder when 4 is divided by s?
1
Let w = 86 + -61. What is the remainder when 97 is divided by w?
22
Suppose -21 = 3*o + 42. Let z = o + 29. Calculate the remainder when 29 is divided by z.
5
Let b(x) = x**2 - 5*x + 7. Let q be b(6). Suppose -g + 3*c + c = q, 0 = 3*g + 5*c - 29. What is the remainder when 7 is divided by g?
1
Let r(i) be the third derivative of i**5/60 - i**4/24 + 25*i**3/6 + 2*i**2. Calculate the remainder when r(0) is divided by 13.
12
Suppose 3*a = -2*a + 30. Let n(j) = -j**2 + 12*j - 1. Calculate the remainder when n(a) is divided by 12.
11
Suppose 2*w = -5*j + 69, 3*j - 5*j - 62 = -2*w. What is the remainder when 63 is divided by w?
31
Suppose -i - 9 = 3. Let k(t) = -4*t - 1. What is the remainder when 8*(i/8)/(-1) is divided by k(-2)?
5
Let d(s) = -s**2 - 4*s. Let g be d(-3). Suppose -5*z + g*i = -22, z + 0*i = 2*i + 3. Calculate the remainder when 18 is divided by z.
3
Suppose 2*a = a + 3. Let p(j) = 4 - 3*j**2 + 3*j**2 + a*j**2 - j**2 - 7*j. What is the remainder when 23 is divided by p(4)?
7
Let m = -101 - -108. What is the remainder when 39 is divided by m?
4
Let p(d) = 