6. Let h = 10 + -19. Let u = h + 20. What is the remainder when c is divided by u?
8
Let p = 22 + -4. Calculate the remainder when 52 is divided by p.
16
Let l(g) be the second derivative of -g**3/6 - g**2 - g. Let j be l(-5). Suppose q - j*q = -34. What is the remainder when 49 is divided by q?
15
Let v(k) = 3*k**3 + k**2 - k + 1. Let p be v(1). Let w be (-1705)/(-20) + (-2)/8. Suppose -p*m + 63 = -w. What is the remainder when m is divided by 10?
7
Let o(u) = -5*u**3 + 2*u - 1. What is the remainder when o(-2) is divided by 19?
16
Let s be (-16)/2 + (2 - 1). Let o = 16 + s. Suppose 2 = -r + o. Calculate the remainder when 13 is divided by r.
6
Suppose -42 = -4*g + 10. Let a(z) = -z**3 - z**2 + z + 49. What is the remainder when a(0) is divided by g?
10
Suppose -i + 3 + 8 = 5*b, 4*b = 3*i + 5. Suppose b*c - 42 = -0*c. Calculate the remainder when c is divided by 12.
9
Suppose -26*l = -21*l - 75. Let f = 8 + -4. Calculate the remainder when l is divided by f.
3
Suppose 0*l - 4*u + 70 = 5*l, -3*l = 3*u - 45. Suppose -l = -3*z + 5. Calculate the remainder when z is divided by -2 + 6*(-4)/(-6).
1
Suppose 2*k + 4*o = 38, 4*o - 3*o - 77 = -5*k. Calculate the remainder when 116 is divided by k.
11
Let b(f) = -f**3 - 8*f**2 - 7*f + 3. Let w be b(-7). Let r = w + 1. What is the remainder when 10 is divided by r?
2
Let o(h) = h**3 + 8*h**2 - 11*h + 12. Calculate the remainder when o(-9) is divided by 8.
6
Suppose -5 + 0 = -x. Suppose -x*b + 140 = -b. What is the remainder when b is divided by 18?
17
Suppose -3*k + 0 = -108. What is the remainder when k is divided by 19?
17
Let f(x) = -x**3 - 5*x**2 - 5*x - 1. Calculate the remainder when 7 is divided by f(-4).
1
Let y(w) = -w**2 + 12*w + 4. Let c be y(10). Let d = c - 14. Calculate the remainder when 19 is divided by d.
9
Suppose 4*u - 2*t = -6, -u + 4*t = u + 18. What is the remainder when (10/(-3))/(u/(-3)) is divided by ((-6)/9)/(1/(-9))?
4
Let n = 151 + -80. What is the remainder when n is divided by 36?
35
Let s(j) = 28*j - 4. Let u be s(3). Suppose 4*g + 28 = u. Let o(q) = -4*q + 5. Calculate the remainder when o(-5) is divided by g.
12
Let s(a) = -3*a - 8. Let i be s(-12). Suppose w - v + 2*v = i, -30 = -w - 2*v. What is the remainder when 51 is divided by w?
25
Suppose -3*s + 4*s = 4*u + 7, -2*s = u - 50. What is the remainder when s is divided by 2?
1
Let y(t) be the third derivative of t**4/12 - 7*t**3/6 - t**2. Let u = 48 - 46. Calculate the remainder when y(6) is divided by u.
1
Let p(m) = 4*m**3 - 14*m + 19 + 14*m**2 + 0*m**2 - 5*m**3. Calculate the remainder when 17 is divided by p(13).
5
Let d(r) = -r**2 + 12*r - 10. Calculate the remainder when d(5) is divided by ((-36)/10)/(10/(-25)).
7
Let n = 2 + -2. Suppose 4*o - 2*t = 162, -5*o + t - 4*t + 230 = n. Calculate the remainder when o is divided by 11.
10
Let r(a) = a**3 - 9*a**2 + 4*a - 13. Calculate the remainder when r(9) is divided by 9.
5
What is the remainder when -26*(-1)/(-4)*-2 is divided by -1 + 1 + 3 + 2?
3
Suppose 5*n - 111 = 4*y, 0 = -3*n - 2*y - 9 + 80. Calculate the remainder when 91 is divided by n.
22
Suppose -5 = -4*a + 15, 17 = -3*y + 4*a. What is the remainder when y + -3 + (-26)/(-1) is divided by 13?
11
Let g be 0 + -3*(-237)/9. Suppose -4*v - v = 3*f + g, v = f + 13. Let a = f + 29. Calculate the remainder when a is divided by 6.
5
Suppose 4*x - 212 - 121 = 3*c, -5*x - c = -440. Calculate the remainder when x is divided by 23.
18
Suppose -2 + 30 = 2*a. Suppose -c - 4 = -a. Calculate the remainder when 18 is divided by c.
8
Calculate the remainder when (-12)/90 + -2 + (-482)/(-15) is divided by 16.
14
Suppose 0 = 2*a + 3*b - 254, -4*a + 3*b = 4*b - 508. Calculate the remainder when a is divided by 16.
15
Suppose 2*y - 102 = -0*g + 2*g, 2*g = -4*y + 180. Calculate the remainder when y is divided by 20.
7
Suppose v = 2*v - 5. Suppose -3*h - v*c + 11 = 0, 4*c - 16 = -0*h - 3*h. Calculate the remainder when 34 is divided by h.
10
Suppose 0 = -3*c - 2*s + s + 8, c = -5*s - 16. What is the remainder when 11 is divided by (5 + -1 + c)/2?
3
Suppose o - f = 37, 5*o - 5*f = -f + 187. What is the remainder when o is divided by 14?
11
Suppose i - 68 = -2*r + 3*r, 3*r + 64 = i. What is the remainder when i is divided by 9?
7
Let g(q) = 5*q**2 - 3*q - 4. Calculate the remainder when 640/12*(-6)/(-5) is divided by g(-2).
20
Suppose -5*i + i + 36 = 0. Let y(a) = -2*a**2 + a**3 - 10*a**2 - 2*a - 7 + 4*a. What is the remainder when y(12) is divided by i?
8
Let z(t) = -4*t - 12. What is the remainder when 23 is divided by z(-5)?
7
What is the remainder when 195 is divided by ((-14)/(-4))/((-8)/112*-1)?
48
Let p(v) = -v**2 - 15*v - 19. Let h be p(-13). Suppose 3*o - 57 = -5*c, -2*o = 2*c - h*o + 2. What is the remainder when 15 is divided by c?
6
Let y = 71 - 39. Suppose 0 = -5*r - 101 + 306. Suppose -r = -4*z + 27. What is the remainder when y is divided by z?
15
Let i = -1 - -4. Suppose 0 = i*t - 0 - 15. What is the remainder when 14 is divided by t?
4
Let d be (-60)/14 + (-2)/(-7). Let x(g) = -g - 1. Let w(m) = 2*m - 2. Calculate the remainder when w(5) is divided by x(d).
2
Let k(u) = -59*u - 1. Suppose 5 = -9*b + 4*b. Let j be k(b). Let g = -25 + j. Calculate the remainder when g is divided by 17.
16
Let q = 25 + -11. What is the remainder when 25 is divided by q?
11
Let j be (2 - -1) + (-4 - -4). Suppose -11 = j*a - 4*a. Calculate the remainder when 19 is divided by a.
8
Let x(s) = -25*s. Let h = -107 - -156. Calculate the remainder when h is divided by x(-1).
24
Let z(h) = -h**2 - 3. Let k be z(0). Let y = k - -5. What is the remainder when y is divided by 1?
0
Let b(h) = 3*h - 8. Let j be b(7). Suppose -j = -w + 8. Calculate the remainder when 41 is divided by w.
20
What is the remainder when (119/(-34))/(2/(-36)) is divided by 16?
15
Let g(u) = -8*u - 1. Let s(y) = -y**2 - y. Let l be s(-3). Calculate the remainder when g(l) is divided by 16.
15
Let c = -6 + 11. Suppose c*p = 2*a - 42, -3*a - 2*p + 81 + 1 = 0. Calculate the remainder when a is divided by 9/(-3)*(-6)/2.
8
Suppose 6*m = 3*s + m - 624, 2*s + m = 416. Calculate the remainder when s is divided by 35.
33
Suppose 0*p = p - 11. Calculate the remainder when 33 is divided by p.
0
Suppose -30 = -2*l + 4*q - 10, -3*l + 5*q = -30. Let n = 15 - l. What is the remainder when (-1 + (-6)/(-4))/(1/28) is divided by n?
4
Suppose -15 = -3*v + 9. Let s = -7 + 13. Calculate the remainder when 301/13 + s/(-39) is divided by v.
7
Suppose 8*g + 3 = z + 4*g, -5*z - 2*g + 81 = 0. Calculate the remainder when z is divided by 10 - (-1 + (-3 - -5)).
6
Let f(r) = 3*r + 9. Let x be f(8). Let u = -5 - -5. Suppose u = -3*a + 42 + x. Calculate the remainder when a is divided by 9.
7
Let f = 45 + -34. What is the remainder when 20 is divided by f?
9
Let r = 48 + -29. Let c(z) = z - 5. Let u be c(6). What is the remainder when r is divided by u*(-2 + (-18)/(-2))?
5
What is the remainder when 82 is divided by (-664)/(-16) - (-2)/4?
40
Let v(x) = x**3 + x**2 - 3*x - 1. Calculate the remainder when v(3) is divided by 10.
6
Let y(v) = -v - 11. Let l be y(-13). Suppose m - 2*f - 26 = 0, -5*m + 112 = -l*f + f. Calculate the remainder when m is divided by 12.
10
Suppose -1 = -r + 3, 2*n = -4*r + 276. What is the remainder when n is divided by 19?
16
Suppose -5*p - 4*o = -10*p + 870, 2*o - 870 = -5*p. Let v be (p/15)/(2/(-10)). What is the remainder when ((-5)/2)/5*v is divided by 10?
9
Let c(o) = 4*o - 3. Suppose 3*k - q = 4*q + 39, -2*q = -4*k + 38. Let v = k - 4. Calculate the remainder when c(3) is divided by v.
1
Let u be ((-12)/(-3) + -3)*25. Suppose -5*h - u = 0, m - 27 + 3 = 2*h. Calculate the remainder when 39 is divided by m.
11
Suppose -8 = 2*l, 5*l = -3*s + 46 + 6. Suppose -2*d + s = 2*r, 24 = 3*r + 4*d - 17. What is the remainder when r is divided by 3?
1
Let k(w) = w - 1. Let g be k(-2). Calculate the remainder when (12/5)/(3/20) is divided by 1 + g + 3 + 5.
4
Suppose 0*t - 2 = -t. Suppose -4*s = 5*d - 86, -t*s = 4*d - 3*d - 22. Calculate the remainder when d is divided by 5.
4
Suppose 8 = -2*i + 64. What is the remainder when 47 is divided by i?
19
Let k(u) = u**2 + 15*u + 32. Calculate the remainder when 16 is divided by k(-13).
4
Let k = 237 + -128. What is the remainder when k is d