
Let q(a) be the first derivative of 1/4*a**4 - 2*a + 5/3*a**3 - 3/2*a**2 + 1. Calculate the remainder when 38 is divided by q(-5).
12
Suppose -h - 16 = -3*h. Let p = 14 - h. What is the remainder when 22 is divided by p?
4
Let z be (-61)/(-4*(-1)/8). Calculate the remainder when 15 is divided by z/(-15) + (-12)/90.
7
Let a(r) = 4*r**2 + 6*r + 5. Let p(z) = -z**2 + z + 2. Let j be p(-2). Let d be a(j). Let q = d + -23. Calculate the remainder when 43 is divided by q.
21
Let s(r) = -2*r**3 - 12*r**2 - r + 8. Calculate the remainder when 41 is divided by s(-6).
13
Let y(w) = w - 3. Let x(o) = 4*o**2 + o - 1. Let u be x(1). Calculate the remainder when 1 is divided by y(u).
0
Calculate the remainder when 49 is divided by 14/(-49) - (-242)/14.
15
Let x(a) = 0 - 3 - a**2 - 13*a + 2. Let z be x(-10). Let v = -4 + z. What is the remainder when v is divided by 9?
7
Let l = -121 - -127. Calculate the remainder when l is divided by 4.
2
Let a be 3/(0 + 3/9). Calculate the remainder when a/15*(-1 - -16) is divided by 5.
4
Suppose -p = -g + 4*p + 16, 169 = 4*g + p. Calculate the remainder when 78 is divided by g.
37
Suppose 3*s - 4*s + 38 = 0. Let n(r) = r**3 + 7*r**2 + 7*r + 14. What is the remainder when s is divided by n(-6)?
6
Let c = -18 + 25. Suppose c*s - 55 = 2*s. Calculate the remainder when 43 is divided by s.
10
What is the remainder when (-26 - 0)*(-3)/2 is divided by (-1)/(-1)*-1 - -15?
11
Let r be (3 + -2)*(-10)/(-5). Suppose 5*l - 5*x = 20, -4 + 3 = -l + r*x. Calculate the remainder when l is divided by 5.
2
Suppose 5*v = -7 - 13. What is the remainder when 77 is divided by v/6 - 62/(-3)?
17
Let v(h) = h**2 - 7*h + 2. Let o be v(7). Calculate the remainder when 2 - ((o - 0) + -26) is divided by 14.
12
Let j(y) = -y**3 + 5*y**2 + y - 3. Let z be -2 + 9 + -2 + -1. What is the remainder when (36 + -6)*(-5)/(-3) is divided by j(z)?
16
Suppose -5*x = 31 - 11. Let z be 18/x*8/(-6). Let p(m) = m + 7. Calculate the remainder when 49 is divided by p(z).
10
Suppose -4*q + 7*q - 9 = 0. What is the remainder when 4 is divided by q?
1
Suppose -34 = -2*u + 2*a + 24, -3*u = -2*a - 86. Calculate the remainder when 222 is divided by u.
26
Suppose -s + 10 = -2*h - 3, -4*s - 4*h + 4 = 0. Suppose 0 = -2*r + 4*n + 10, 0*n - 19 = 4*r + s*n. Let t = 1 - r. What is the remainder when t is divided by 1?
0
Let x(i) = i**2 - 7*i + 9. Let y be x(7). Suppose 0 = -y*b + 5*b + 8. Calculate the remainder when 2 is divided by b.
0
Let d = -35 - -57. Let x = 8 + -2. Calculate the remainder when d is divided by x.
4
Let n be -2*(7/(-2) - -1). Suppose -9 = -f + p, -5*f + 3*f = -n*p - 33. What is the remainder when 7 is divided by f?
3
Let z = 153 + -135. Calculate the remainder when z is divided by 5.
3
Let k(f) = 3*f**2 + 4*f - 2. Suppose -5*p = 4*v - 4 + 20, 3*v = -2*p - 12. Suppose 0*g + g - 9 = p. Calculate the remainder when g is divided by k(1).
4
Let c = -9 - -13. What is the remainder when -7*(2 - (-9)/(-3)) is divided by c?
3
Let x be 6/(-4)*16/(-3). Suppose 4*r - 3*r = x. Suppose -8 - 12 = -4*c. What is the remainder when r is divided by c?
3
Suppose 5*w - 9*w + 68 = 0. Calculate the remainder when 184 is divided by w.
14
Let w(v) = 1. Let d(j) = -3*j - 3. Let q(p) = -d(p) + 4*w(p). Calculate the remainder when 35 is divided by q(4).
16
Let z = 0 + 3. Suppose -26 = k - z*k. Calculate the remainder when 25 is divided by k.
12
Suppose -5*q = -3*a - 24 + 82, 0 = 2*q - 8. Suppose -5*w + d - 3*d = -17, -3*d = w + 7. Suppose 0*j + 70 = w*j. Calculate the remainder when a is divided by j.
12
Let s(i) be the second derivative of i**3/6 - 4*i**2 - 4*i. Calculate the remainder when s(14) is divided by 4.
2
Let l(p) be the second derivative of -p**5/20 + p**4/3 + 2*p**2 - 3*p. Suppose -2*b - b + 114 = 0. What is the remainder when b is divided by l(3)?
12
Suppose 4*w - 3*w - 11 = 0. Let c(b) = -b**2 - 12*b + 11. What is the remainder when c(-10) is divided by w?
9
Let s be -2*-2*(-202)/(-8). Suppose 2*r = -2*r - y + s, 4*y - 20 = 0. Suppose -4*h = -8*h + 52. What is the remainder when r is divided by h?
11
Suppose 13 = 5*t - 12. Let q = -7 - t. What is the remainder when (-2)/((-3)/q*-2) is divided by 3?
1
Calculate the remainder when 4/((-12)/8 - -2) is divided by 4.
0
Let x = -59 - -70. What is the remainder when 16 is divided by x?
5
Let j be ((-6)/(-15))/((-2)/(-10)). Suppose -j*g = -g. Suppose -149 = -5*p - 2*k + 92, 4*p - 5*k - 173 = g. What is the remainder when p is divided by 16?
15
Let s = 28 + -18. Suppose 2*l = -3*l + s. What is the remainder when 4 is divided by l?
0
Suppose 8*f - 4*h = 4*f - 448, 4*h + 4 = 0. Let v = 167 + f. Calculate the remainder when v is divided by 11.
10
Suppose -4 = 4*t - 6*t. Suppose 3 = 4*i - 0*i - 5*z, 2*i + 3*z - 7 = 0. Suppose -i*o + 56 = t*o. Calculate the remainder when 26 is divided by o.
12
Suppose 316 + 50 = 6*m. What is the remainder when m is divided by (-1 - -3) + 17 + -3?
13
Suppose -5*h - 5*z + 10 = -10, 3*h = -2*z + 11. Let g(d) = -d**3 + 4*d**2 + d. What is the remainder when 35 is divided by g(h)?
11
Let o(a) be the third derivative of 11/6*a**3 - 1/24*a**4 + 0*a - a**2 + 0. What is the remainder when 31 is divided by o(0)?
9
Let i = 33 + -19. Let t(g) = 38*g + 3. Calculate the remainder when t(1) is divided by i.
13
Suppose 8*o - 68 = 324. Calculate the remainder when o is divided by 26.
23
Suppose 57 = 3*c + h, 3*c - 2*h = -h + 57. Calculate the remainder when c is divided by 11.
8
Suppose -39*u + 45*u - 114 = 0. What is the remainder when ((-24)/(-10))/((-2)/(-45)) is divided by u?
16
Let o(b) = 4*b**2 + 6*b + 5. Calculate the remainder when 87 is divided by o(-3).
18
Let y(k) = 15*k + 12. What is the remainder when y(7) is divided by 17?
15
Let n = 31 - 2. What is the remainder when n is divided by 5?
4
Let o be (-5)/(15/9) + 7. Suppose 4*j - r + 3 = -38, 3*j = o*r - 34. Calculate the remainder when 43 is divided by (3/(-2))/(1/j).
13
Suppose -7 = -4*h - 5*y, 0*h - h + 4*y = -7. Calculate the remainder when (-1)/(-3) - (-176)/h is divided by 20.
19
Let i(a) = 15*a**2 - 2*a - 2. Calculate the remainder when i(-2) is divided by (-2 + -6)*(1 + -5).
30
Suppose -4*v + 15 + 1 = 0. Let a(u) = 4*u + 27. Calculate the remainder when a(-5) is divided by v.
3
Suppose -2*d = -3*t + 26, 0*d - 14 = -t - 2*d. What is the remainder when 29 is divided by t?
9
Let f be -32 - (2 - (2 + 0)). Let w = -23 - f. Calculate the remainder when w is divided by 6.
3
Let j = 72 - 24. Calculate the remainder when j is divided by 7.
6
Let h(b) be the second derivative of -b**5/5 - b**4/12 - b**3/6 + b. Let k = 40 - 41. Calculate the remainder when 10 is divided by h(k).
2
Let r(y) be the first derivative of y**4/4 - 5*y + 1. Let k be r(5). Suppose -5*x = -c - 87, -5*c = 5*x + 45 - k. What is the remainder when x is divided by 6?
5
Suppose 11*f + 118 - 371 = 0. What is the remainder when 112 is divided by f?
20
Suppose 5*b - c - 2 = -4*c, -3*c = b + 2. Suppose b = -2*n + 17. Suppose -4*h + 0*h = -56. What is the remainder when h is divided by n?
6
Suppose -73 - 17 = -5*j + 5*i, 4*j = -4*i + 56. Let a(w) = -6*w - 5. Suppose -5*l - 27 - 3 = 0. Calculate the remainder when a(l) is divided by j.
15
Let s(f) = -4*f + 5*f - f**2 + 5*f + 1. What is the remainder when s(6) is divided by (-1)/(-2) - (-3)/6?
0
Let o = -42 - -46. What is the remainder when 31 is divided by o?
3
Suppose 0*s = -2*s - 8. What is the remainder when (s + 6)/(2/17) is divided by 9?
8
Suppose 3*l = -3*f + f + 22, 35 = 5*l + 5*f. Calculate the remainder when 21 is divided by l.
5
Suppose 2*a - 9 = -a. Suppose -4*g - 2*p + 14 = -a*p, -4*g = -5*p - 6. Suppose -g*k = -9*k + 35. What is the remainder when k is divided by 4?
3
Suppose 3*m - 36 = -0*m. Calculate the remainder when m is divided by 4.
0
Suppose 0*r - 12 = 2*r. Let d be (-14)/(-35) - (-24)/(-10). Calculate the remainder when 41 is divided by d/r + (-82)/(-6).
13
Suppose 3*x + 2*v - 191 = 0, 0 = 3*x - 2*v - 64 - 123. Calculate the remainder when 125 is divided by x.
62
Let a be (-2*1)/(12/(-48)). Let h = 22 - a. Calculate the remainder when h is divided by 4.
2
Suppose 0 = -2*t + 3*t + 1, 4*q - 18 = -2*t. Let n be -19*6/(-3)*1. Suppose -r + 10 = v, 0*v = -q*r - v + n. What is the remainder when 12 is divided by r?
5
Suppose