12
Let m(i) be the first derivative of -i**3/3 + 3*i**2 - 2*i - 5. What is the remainder when 6 is divided by m(5)?
0
Let u(p) = -p - 4. Let y be u(-4). Suppose y = o + 1. What is the remainder when (-19)/(o*3/6) is divided by 13?
12
Suppose -5*k = v - 105 + 4, 5*k - 4*v = 121. Let i(b) = -2*b - 6. Let h be i(-4). Calculate the remainder when 39*h/(-4)*-2 is divided by k.
18
Suppose 5*f = 2*n - 8, -2*n + 7*n = 5*f + 20. What is the remainder when 10 is divided by n?
2
Let z be (-3 + 4)/(3/(-243)). Let p = z - -147. Calculate the remainder when p is divided by 17.
15
Let f = -19 - -28. Let i(y) = y**3 - 10*y**2 + 11*y - 5. What is the remainder when i(f) is divided by 7?
6
Let b = -170 - -175. Suppose 3*q - 3*i = 18, 0 = -5*q - 4*i + 39. Calculate the remainder when q is divided by b.
2
Let b(u) = 19*u + 37. What is the remainder when b(7) is divided by 43?
41
Calculate the remainder when 73 - -1*(-1 + 2) is divided by 19.
17
Let w(o) be the second derivative of -7*o**3/6 + 4*o**2 + 4*o. Let f = -30 - -52. Calculate the remainder when w(-8) is divided by f.
20
Suppose -c = -3 - 2. Let f be (1/2)/(1/20). Suppose f*m - 60 = c*m. What is the remainder when 35 is divided by m?
11
Let b be 1*9 - (3 + -2). Let o(s) = s**3 - 8*s**2 + s + 6. What is the remainder when 54 is divided by o(b)?
12
Let c = 12 + -16. Calculate the remainder when 7 is divided by c + 6 + 1*3.
2
Suppose -42 + 10 = 4*j. Let t(l) = l**3 + 7*l**2 - 10*l - 7. Let w = 24 - 21. Calculate the remainder when t(j) is divided by w.
0
What is the remainder when 57 is divided by (-60)/(-9)*(-6)/(-2)?
17
Let r = 18 - 9. Suppose 3*z + 83 = 5*b, -b + 3*z + r = 2. Calculate the remainder when b is divided by 5.
4
Let l(n) = n**3 + 8. Calculate the remainder when (272/(-32) - 2/(-1))*-2 is divided by l(0).
5
Let b be ((-3)/(-1))/(2/(-24)). Let i(o) = 15*o**2 - o + 1. Let l be i(2). Let w = l + b. Calculate the remainder when w is divided by 12.
11
Let i = -2 - -11. Suppose -3*o = 9, o = -4*f - 2*o - 45. What is the remainder when ((-75)/f)/(2/6) is divided by i?
7
Suppose 3*d - d = -5*o + 99, 13 = o - 3*d. What is the remainder when o is divided by 13?
6
Let w(l) = l**3 - l**2 - 2*l - 3. What is the remainder when w(3) is divided by 6?
3
Let u(h) = h**2 - 3*h - 4. Suppose 2*r = -24 + 50. What is the remainder when u(-6) is divided by r?
11
Let p be (32/10)/((-4)/(-30)). Suppose i = -b + p, 0 = 2*b - 0*i - 4*i - 24. Calculate the remainder when b is divided by 7.
6
Suppose -4*s + 126 = 30. Let d(z) = z + 13. Calculate the remainder when s is divided by d(-4).
6
Suppose -3*t = -4*t - 4. Let g = t - -8. Calculate the remainder when g is divided by -9*(4/(-3) - -1).
1
Let z(t) = -t**2 + 1. Let x(i) = -4*i**2 + 2. Let k(g) = -x(g) + z(g). Let v be k(1). Suppose 4*q - 44 = v*q. Calculate the remainder when q is divided by 8.
6
Let d(z) be the second derivative of -z**4/12 + 8*z**3/3 - 11*z**2/2 + 4*z. What is the remainder when 11 is divided by d(15)?
3
Suppose h - 19 = 2*f, -48 = -3*h + f - 16. Calculate the remainder when 25 is divided by h.
7
Suppose 52 = 2*z + 4*r - 2*r, 29 = z + 2*r. What is the remainder when z is divided by 8?
7
Suppose 0 = -3*m - 4*y + 57, 0 = -m + 6*m + 3*y - 95. Let c = 16 - 9. What is the remainder when m is divided by c?
5
Let q = 17 - 16. Let o = q - -12. Calculate the remainder when 25 is divided by o.
12
Let x be (35/7)/(-1 + 2). Suppose -2*i - 12 = -6*i, x*n = 2*i + 29. Calculate the remainder when 20 is divided by n.
6
Suppose -64 = -10*b + 2*b. What is the remainder when 63 is divided by b?
7
Suppose -3*k = -27 - 36. Suppose 9 = 2*i - 3. What is the remainder when k is divided by i?
3
Let g(a) = a**2 + 4*a - 7. What is the remainder when (-7 - -5) + 42/2 is divided by g(-6)?
4
Let o = 142 + -116. Suppose -4*d - 1 = -57. What is the remainder when o is divided by d?
12
Let z = -6 + 13. What is the remainder when 11 is divided by z?
4
Suppose 0 = -p + 6*p + 55. Let f = 19 + p. Calculate the remainder when (((-92)/(-4))/(-1))/(-1) is divided by f.
7
Suppose -z - 3 = -2*z. Suppose 28 = -z*j + 5*j. What is the remainder when 26 is divided by j?
12
Let f(t) = t**2 + 3*t - 1. What is the remainder when f(-10) is divided by 18?
15
Let k = 12 - -4. Calculate the remainder when k is divided by 9.
7
Let o be (-27)/(-6) + 1/2. Suppose 0 = y - 5*v - 8, -o*v + 91 = y + y. What is the remainder when y is divided by 7?
5
Suppose 0 = z + 3*c - 4 + 1, 5*z = 2*c + 66. Let v(l) = -l. Let k be v(-6). Suppose t + k = 29. Calculate the remainder when t is divided by z.
11
Suppose -l = 5*v + 16 + 31, -4*v - 4 = 0. Let s = -29 - l. Let m = 0 + 37. Calculate the remainder when m is divided by s.
11
Let h(d) = d - 4. Let l be h(6). Suppose l*a = 1 + 1. Calculate the remainder when a is divided by 1.
0
What is the remainder when (-39)/(-13) + -2 + 26 is divided by 15?
12
Suppose 4*d - d = 78. Suppose -118 = -4*x - 34. Suppose 2*t - x + 3 = 0. What is the remainder when d is divided by t?
8
Let b = -44 - -72. Let i = -29 - -39. What is the remainder when b is divided by i?
8
Let a = -49 - -54. What is the remainder when a is divided by 3?
2
Let h(x) = x + 4 - x**3 + 0 - 2. Let z = -5 - -3. Calculate the remainder when 23 is divided by h(z).
7
Let o be (-1)/(15/(-14) + 1). Suppose -d - 8 = d + 5*w, -5*d + o = 4*w. Let p(k) = k + 2. Calculate the remainder when d is divided by p(2).
2
Let i = 338 - 197. Calculate the remainder when i is divided by 36.
33
Let n be 2058/24 - 1/(-4). Let y = n + -36. What is the remainder when y is divided by 13?
11
Let r(f) = -f**3 - 13*f**2 - 2*f - 6. Let k(d) = 2*d**2 + 3*d + 3. Calculate the remainder when k(-5) is divided by r(-13).
18
Let g be (-3 - (-10)/(-4))*-2. Suppose -13 = -4*y + g. What is the remainder when 10 is divided by y?
4
Suppose 0 = -3*c + 2*k - 1, 3*c - 15 = -2*k + 4. What is the remainder when 21 is divided by 16/c + 12/18?
3
Let u = 21 - 16. Suppose u*p + 255 = 10*p. What is the remainder when p is divided by 13?
12
Suppose 0 = -2*w - 4 + 8. Suppose w*o + 187 = 3*x + 2*x, -2*x + 5*o + 79 = 0. Calculate the remainder when x is divided by 19.
18
Suppose -2*h - 4 = -6. Let i = 3 - h. What is the remainder when -10*(-2)/(-4)*-1 is divided by i?
1
Let d(m) = m**3 - 4*m + 3. Let y be d(2). Suppose 0 = 3*z - 9, -8 = -y*a + 4*z + 7. Calculate the remainder when 25 is divided by a.
7
Let g(w) = -w + 56. What is the remainder when 127 is divided by g(13)?
41
Let c(u) = 24*u**3 - 6*u**2 + 5. Suppose 64 = 5*z + 4*t, -5*t = 3*z - 10*t - 31. What is the remainder when c(1) is divided by z?
11
Suppose -24 = -4*v - 0. Calculate the remainder when 17 is divided by v.
5
Suppose 6*a = -2*a + 704. Calculate the remainder when a is divided by 23.
19
Let m = 33 + -22. Let v = -11 + 18. Calculate the remainder when m is divided by v.
4
Let o(t) = t**3 + 9*t**2 + 5*t. Let q be o(-5). Suppose 3*j = -0*j + q. What is the remainder when j is divided by 13?
12
Let p = -95 - -98. Suppose 2*t - 4*k = 18, t + 4*k - k = -1. Suppose t*w + 14 = -4*u + 61, w - 22 = -5*u. What is the remainder when w is divided by p?
1
Let w(q) = 17*q**2 + 2*q + 1. Suppose 0*f = f. Let s = -1 + f. What is the remainder when 47 is divided by w(s)?
15
Calculate the remainder when (127 + 1)/(28/42) is divided by 39.
36
Let v = 26 - 20. Calculate the remainder when 28 is divided by v.
4
Suppose 5*i = -22 + 77. Calculate the remainder when 43 is divided by i.
10
Calculate the remainder when (-9)/(6 - (-93)/(-15)) is divided by 16.
13
Let k be 9/(-12) + 172/16. Let q = -4 + k. What is the remainder when q is divided by (0 + 3)/(0 - -1)?
0
Let g(o) = -o**2 + 21*o - 12. Calculate the remainder when g(11) is divided by 33.
32
Let g(z) be the third derivative of 0*z - 1/6*z**3 - 3*z**2 + 0 + 1/6*z**4 + 1/30*z**5. What is the remainder when g(4) is divided by 24?
23
Let l = 0 + -1. Let d = l - -4. Suppose d*t = 21 - 6. What is the remainder when t is divided by 2?
1
Suppose -x = 8*x - 27. Let s = 4 - 2. Calculate the remainder when x is divided by s.
1
Let l = -8 - -10. What is the remainder when 5 is divided by l?
1
Let i be (-101)/3 - (-1)/(-3). Let a = -24 - i. Calculate the remainder when 29 is divided by a.
9
Let l be 3 + (1/1 - 0). Let a be (-1 + -2 + 3)/2. Suppose l*b - 99 - 105 = a. What is 