et p be (-5)/2*8/(-10). Let h be p/(-7) + 2/7. Suppose -3*u + 30 + 21 = h. Calculate the remainder when u is divided by 9.
8
Suppose 1 = j - m - 2, -j - 5*m - 21 = 0. Calculate the remainder when 30 is divided by (16 - 4) + 1/j.
8
Let d(z) = -29*z - 4. Let q be d(-3). Suppose -2*p + q = 3*p + 2*h, 2*h + 53 = 3*p. What is the remainder when 66 is divided by p?
15
Let n(i) = i**3 - 4*i**2 + i + 5. What is the remainder when n(4) is divided by 3?
0
Let t = 36 - 31. Suppose 3 + 30 = 3*u. Suppose -4*s = -t*h - 15 - 28, u = s - h. What is the remainder when 34 is divided by s?
10
Let g(f) = -14*f - 45. Calculate the remainder when g(-6) is divided by 20.
19
Let w(p) = 19*p**3 - p**2. Suppose -27 = a - 5*m, 0 = -4*a + 3*a + 2*m - 12. What is the remainder when w(1) is divided by (a/(-4))/(2/40)?
8
Let s(z) = 4*z**2 + 2*z + 2. What is the remainder when s(-4) is divided by 30?
28
Suppose -5*k = 5*h - 220, 0 = 3*k + 4*h - 77 - 52. Suppose 4*g - 10 = -2*f, 0 = -5*f + 4*g - 3. What is the remainder when k is divided by (1 - f) + (2 - -14)?
15
Suppose -5*w + 2 = -8. What is the remainder when 47/(3*w/6) is divided by (4*3)/((-3)/(-4))?
15
What is the remainder when 122 is divided by (-10)/(((-2)/(-10))/(2/(-4)))?
22
Suppose l = 4*l - 126. Let h = l + -24. Suppose 4*n + 11 = 51. What is the remainder when h is divided by n?
8
Suppose -2*p + 14 = -3*l, 0 = -2*p - 5*l - 2. What is the remainder when 24/(-2)*p/(-6) is divided by 5?
3
Suppose 0*u = u + 11. Let n(j) = j**2 + 8*j - 13. What is the remainder when n(u) is divided by 2 + 9/(-3) + 8?
6
Suppose w + 3*w = -20. Let f = 4 + w. Calculate the remainder when f/2 + (-10)/(-4) is divided by 1.
0
Suppose -f = -5*f + 16. Let p(b) = -b**2 - 16*b - 4. What is the remainder when p(-15) is divided by f?
3
Suppose 3*n + 7 = -2, 5*n = -3*u - 18. Let w = u + 3. What is the remainder when 3 is divided by w?
1
Suppose -g + 5 = -22. What is the remainder when g is divided by 4?
3
Suppose -15 = -5*u, -j - 2*u = -45 + 5. What is the remainder when j is divided by 9?
7
Let s(b) = -b**3 + 8*b**2 - 18*b + 5. Let t(o) = -o**3 + 9*o**2 - 17*o + 4. Let y(g) = 3*s(g) - 4*t(g). Calculate the remainder when 127 is divided by y(11).
31
Suppose 2*k - 3*p - 55 = 0, 4*k + 3*p - 24 = 41. What is the remainder when k is divided by ((-1)/(-3))/((-2)/(-66))?
9
Suppose -3*d + 285 = 69. Suppose 4*a + 0*a - d = 3*f, f - 36 = -2*a. Let u(n) = -51*n + 1. What is the remainder when u(-1) is divided by a?
16
Suppose 4*b - 26 - 6 = 0. What is the remainder when 14 is divided by ((-1)/(-1))/(b/40)?
4
Let f = 32 + -7. Calculate the remainder when 46 is divided by f.
21
Let g(l) = l**3 - l**2 + 16. Let i be (5/2)/((-2)/(-4)). Let z(h) = h + 4. What is the remainder when g(0) is divided by z(i)?
7
Let i(w) = 5 + 27 + 3*w - 4*w. Let c = 17 - 6. What is the remainder when i(0) is divided by c?
10
Let k = -169 - -255. Calculate the remainder when k is divided by 31.
24
Let y = 152 - 20. Let s be (-6 - -4)/((-4)/6). Calculate the remainder when 31 is divided by ((-2)/s)/((-8)/y).
9
What is the remainder when ((-28)/(-6))/((-35)/12 - -3) is divided by 16?
8
Let a(u) = 4*u**2 - 5*u - 1. Let t(z) = 11*z**2 - 14*z - 4. Let h(c) = -8*a(c) + 3*t(c). What is the remainder when h(9) is divided by 12?
11
Suppose -5*s + 55 = -55. Calculate the remainder when 41 is divided by s.
19
Let c(k) = -k + 3. Suppose -r - 3*r - 37 = 3*u, -4*r + 3*u - 19 = 0. Let f = r - -18. Calculate the remainder when f is divided by c(-4).
4
Suppose 0*u - 2*u + 6 = 0. Suppose 2*l - 6*a = -2*a + 38, 0 = u*l - 4*a - 47. Suppose 0 = -z + l + 5. What is the remainder when 41 is divided by z?
13
Suppose 4*l = 5*k + 19, -4*l - l = 4*k - 75. Suppose -20*o + 129 = -17*o. What is the remainder when o is divided by l?
10
Let n = -12 - -29. Calculate the remainder when n is divided by 7.
3
Suppose 4 = 2*t - 4*k, -2*k + 28 - 6 = -5*t. Let c(b) = b**2 + 4*b + 3. What is the remainder when 57 is divided by c(t)?
12
Let m(h) = -5*h**2 - 10*h + h**2 - h**2 - h**3 - 4*h**2 - 10. What is the remainder when 17 is divided by m(-8)?
5
Let b = 5 - -2. Suppose 2*m - 5*m + 6 = 0. Suppose -m*c = -3*c + b. Calculate the remainder when 19 is divided by c.
5
Let w be (40/(-12) - -3)*-3. Suppose -4*r + 17 + 7 = 0. Let y = r + w. What is the remainder when 19 is divided by y?
5
Suppose -5*b + 4*h - 34 = 0, 0 = 3*b - 5*h + 33 - 10. Let j(y) = -y**3 - 7*y**2 - 8*y + 3. Calculate the remainder when 42 is divided by j(b).
12
Let a(j) = j**3 + 6*j**2 + 6. Let t be a(-6). Let p(m) = 2*m - 5*m - 3 - t. What is the remainder when p(-9) is divided by 10?
8
Suppose -5*o - 5*c = -275, -2*o + 5*o = -5*c + 167. Calculate the remainder when (o/(-4))/((-8)/16) is divided by 15.
12
Let o(g) = g + 2. Let t be o(6). What is the remainder when 7 is divided by 5/2 + t/16?
1
Let o be 1 + (2 + 5 - 2). Let r(t) = 2*t**2 - 7*t - 4. Calculate the remainder when r(o) is divided by ((-2)/(-6))/(2/54).
8
Suppose -q = v - 8, -2*q - q + 33 = 4*v. What is the remainder when 24 is divided by v?
6
Let j(p) be the third derivative of -11*p**4/24 + 7*p**3/2 + 9*p**2. Calculate the remainder when j(-7) is divided by 20.
18
Let u(m) = -3*m + 10. What is the remainder when u(-6) is divided by (-6)/15 + (-77)/(-5)?
13
Suppose -2*x + 5*x - 15 = 0, -3*x - 145 = -5*m. Calculate the remainder when 94 is divided by m.
30
Let w(q) = 7*q - 21. Suppose 0*a = -j + 2*a + 43, -4*j - 4*a = -160. What is the remainder when j is divided by w(6)?
20
Let a be (-315)/(-6)*2/1. Suppose 4*u - 7*u = -a. Calculate the remainder when u is divided by (4/5)/(2/30).
11
Let k be -1 + 1 + (-5)/(-5). What is the remainder when 11 is divided by k/((-14)/(-6) + -2)?
2
Let k = 9 - -3. Let t = -5 + 8. Let i(l) = 2*l**2 + l + 2. What is the remainder when i(t) is divided by k?
11
Let f(w) = -w**2 - 6*w - 1. Calculate the remainder when 20 is divided by f(-4).
6
Let b(g) = -g. Let z(x) be the second derivative of -x**5/20 + x**4/3 + x**2 - 2*x. Calculate the remainder when b(-6) is divided by z(4).
0
Suppose 0 = 4*a - 35 + 3. Let x = -13 + 18. Suppose h = 5*w + 38, -2*h + 4*h + x*w - 31 = 0. Calculate the remainder when h is divided by a.
7
Suppose 9*k - 337 = -22. Calculate the remainder when 129 is divided by k.
24
What is the remainder when 31 is divided by (-3)/(-12) - 67/(-4)?
14
Suppose 7*q = 2*q + 270. Calculate the remainder when q is divided by 14.
12
Suppose -3*a + 15 = 3*f, -f - a - 10 = -3*f. Suppose 0 = j + f*r - 3 + 1, -3*r = -j + 18. What is the remainder when 22 is divided by j?
10
Let q = 34 + -5. Let c = q + -14. Calculate the remainder when 28 is divided by c.
13
Let k(i) = i**3 + i**2 - i + 1. Let o be k(1). Let r(p) = -p**o - 2 + 5 + 2*p + 3*p + 3*p. Calculate the remainder when 44 is divided by r(6).
14
What is the remainder when (-2 + 1)*(5 + -46) is divided by 17?
7
Let p(h) = -11*h - 3. Let j(w) = 2*w**2 - 4*w - 5. What is the remainder when p(-5) is divided by j(4)?
8
Let s(p) = 12*p - 13. Calculate the remainder when s(6) is divided by 33.
26
Let x(a) = -a**3 + 3*a**2 + 3*a - 4. Let m(p) = 1. Let j(w) = 3*m(w) + x(w). What is the remainder when 22 is divided by j(3)?
6
Let x be 8/(-6)*(-9)/2. Suppose l = -3*u + 7, 4 = -5*l - x. What is the remainder when 0 + (u - 4) + 42 is divided by 14?
13
Suppose 59 = 3*l - 166. Suppose -3*d = 2*d - l. What is the remainder when 44 is divided by d?
14
Let z = 48 - 22. Let f = 47 - z. What is the remainder when 81 is divided by f?
18
Suppose -2 = b - 4. Suppose 0 = -b*k + a + 5, k + 3 = 2*a + 1. Suppose -5*o - 94 = -k*m - 4*o, -2*o + 65 = 3*m. Calculate the remainder when m is divided by 12.
11
Suppose b + 4*b = 30. What is the remainder when 9 is divided by b?
3
What is the remainder when 29 is divided by -4*3/(-6)*4?
5
Let y = 2 - 2. Suppose -4*m + 15 - 3 = y. What is the remainder when 1 is divided by 12/9 + (-1)/m?
0
Let d(y) = 7*y + 69. Calculate the remainder when d(11) is divided by 30.
26
Let j(c) = -c**2 - c + 43. What is the remainder when j(0) is divided by -3*(-2)/((-4)/(-10))?
13
Let p = -77 + 114. Let g be (p - 9)*1/2. Suppose -11 = -5*u + 2*n, 5*u - 4*n - g = -n. Calculate the remainder when u is divided by 1.
0
Suppose -h + 35 = 4*g, -h - 4*h = -5*g - 250. Calculate the remainder when h is divided by 16.
1