6.
13
Suppose 16 + 16 = r. Let g be 11/(-1*(-2 - -1)). Calculate the remainder when r is divided by (g + 0)/(0 - -1).
10
Let j be 4/(-6) - (-1)/(-3). Suppose 2*s - 10 = 2*i, 5*s - 4*i - 16 - 10 = 0. Let p = s + j. What is the remainder when p is divided by 3?
2
Suppose 7 = -5*p - 8. Let d(j) = -j**3 + j**2 + j + 4. Suppose -5*i + 4*i - 5*c = 2, -4*i - 3*c = -43. Calculate the remainder when d(p) is divided by i.
11
Suppose 0 = -4*i - 4*o - 88, 2*i = -0*o + 2*o - 40. Calculate the remainder when 28 is divided by 6/i - 44/(-7).
4
Suppose 4*j = -5 - 3. Let v(s) = 3*s + 5. Calculate the remainder when v(5) is divided by ((-11)/(-4))/(j/(-8)).
9
Suppose -37 + 3 = -y. What is the remainder when 101 is divided by y?
33
Let v = 62 - 44. Suppose -5*h - v + 3 = 0. Let r = 9 + h. Calculate the remainder when r is divided by 2.
0
Suppose -37 = -4*i + l + 4*l, 8 = -4*i - 4*l. Calculate the remainder when 5 is divided by i.
2
Let d(h) be the second derivative of -h**5/20 + 2*h**4/3 + h**3/3 + h**2/2 - h. What is the remainder when 65 is divided by d(8)?
14
Suppose -2*l + 62 = -b - l, -b - 5*l - 56 = 0. What is the remainder when 62 is divided by b/(-3) - 4/(-6)?
20
Let t = 138 + -91. Calculate the remainder when t is divided by 24.
23
Let p = 17 - 13. What is the remainder when 7 is divided by p?
3
Suppose 5*m - 14 - 166 = 0. Calculate the remainder when m is divided by 19.
17
Suppose 5*l = q - 65, 0 = 2*q - 2*l + 7*l - 100. Let p = -29 + q. Suppose -4*k + 20 = -16. What is the remainder when p is divided by k?
8
Let x(b) = b**3 + 8*b**2 + 3*b - 3. Let j(h) = h**2 - 3*h - 13. What is the remainder when x(-5) is divided by j(7)?
12
What is the remainder when (-30)/(-45)*3*2 is divided by 1?
0
Suppose 9 = 3*v - 9. Calculate the remainder when v is divided by 3.
0
Suppose 3*d - 13 = 11. Calculate the remainder when 29 is divided by d.
5
Suppose -3*s + 4 + 23 = 0. Let k(x) = x**2 + x - 2. Let p be k(2). Suppose -2*t + p = -0*t, -q - 3*t + 31 = 0. What is the remainder when q is divided by s?
7
Let x(k) = -k**3 + 3*k**2 + 2*k + 2. Let y(g) = 9*g + 1. Let b(c) = 1. Let h(f) = -2*b(f) - y(f). What is the remainder when h(-2) is divided by x(3)?
7
Let x = -50 - -55. What is the remainder when 18 is divided by x?
3
Let r(n) = 2*n**2 - 8*n - 21. What is the remainder when r(-7) is divided by 9?
7
Suppose s = 6*b - 9*b + 21, 2*b - s = 19. What is the remainder when 27 is divided by b?
3
Suppose -6 = -3*j + 3*l, 2*l + 2*l + 8 = -2*j. Suppose 5*q = -d, 4*d - 21 = -j*d + q. Let x = -2 + d. What is the remainder when 5 is divided by x?
2
Suppose 3*z + 13 = -5. Let i = 4 + z. What is the remainder when -23*(3 + -2 + i) is divided by 8?
7
Calculate the remainder when -10*2/4*-1 is divided by 2.
1
Let p = -223 + 235. Calculate the remainder when 141 is divided by p.
9
Let m(p) = 17*p. Let n(l) be the third derivative of l**6/120 - l**5/20 + l**3/3 + 3*l**2. Calculate the remainder when m(2) is divided by n(4).
16
Let f = -16 + 6. Calculate the remainder when 6 is divided by (-44)/f + (-2)/5.
2
Let b be (-12)/5*(-140)/6. Suppose b = 3*q - 46. Suppose q = -5*i + 149. What is the remainder when i is divided by 8?
7
Let p = 6 + -14. Let i(u) = -2*u - 10. What is the remainder when 22 is divided by i(p)?
4
Suppose -m + 12 = 2*m. Let r = m - 5. Calculate the remainder when 17 is divided by ((-27)/(-6))/(r/(-2)).
8
Suppose s + 143 = 4*h, 5*s + 2 - 92 = -3*h. Let g = 32 + -23. Calculate the remainder when h is divided by g.
8
Suppose 0 = -5*b - c - 174, c = -2*b - 0*c - 72. Let z = b + 62. Calculate the remainder when z is divided by 10.
8
Let q = 15 - 11. Let d(n) be the third derivative of n**6/120 - n**5/30 - 5*n**4/24 + n**3/3 - 5*n**2. What is the remainder when 41 is divided by d(q)?
13
Suppose -2*x - 51 = -3*w + 2*x, 0 = 2*x - 6. Calculate the remainder when w is divided by 11.
10
Suppose 2*p - 76 = -5*l, 9 = p - 4*l - 29. What is the remainder when 111 is divided by p?
35
Let o = 2 - 6. Calculate the remainder when ((-2)/(-2))/(o/(-104)) is divided by (14/5)/(2/10).
12
Suppose -24 - 16 = -4*w. What is the remainder when 58 is divided by w?
8
Let m(v) = 12*v + 6. Calculate the remainder when m(7) is divided by 31.
28
Suppose 4*r = -5*r + 189. What is the remainder when 60 is divided by r?
18
Let a = 6 + -4. Suppose 6 + 0 = a*j. What is the remainder when 4 is divided by j?
1
Let y(g) = -13*g - 40. What is the remainder when y(-11) is divided by 13?
12
Let w(j) = -5*j - 8. What is the remainder when 43 is divided by w(-4)?
7
Let i = -19 - -12. Let n = 21 + i. What is the remainder when 25 is divided by n?
11
Suppose -2*r = -r - 22. Let s be (-6)/(-2)*6/9. Suppose -69 = -5*b + 3*u, -30 = -3*b - 0*u - s*u. What is the remainder when r is divided by b?
10
Suppose 4*d + 18 = 62. Let m = -16 + 10. Let h = m - -37. What is the remainder when h is divided by d?
9
Let r = 18 + -5. Let v = -51 - -89. What is the remainder when v is divided by r?
12
Suppose -49 = -5*b - f, -2*f + 10 = -5*b + 47. Calculate the remainder when 43 is divided by b.
7
Suppose -x = -2*x - i + 67, -2*x + 127 = -5*i. What is the remainder when x is divided by 34?
32
Let v(m) = m**2 + 6*m - 4. Let h be v(-7). Suppose 0*s - 63 = -h*s. What is the remainder when s is divided by 6?
3
Suppose -1 - 59 = -4*u. Calculate the remainder when 27 is divided by u.
12
Let f be 2 - 4/(-2) - 2. Suppose f*p + y + 8 = -3*y, 2*p - 1 = 5*y. Let t(c) = -c**3 - 2*c**2 - 2*c - 2. What is the remainder when 3 is divided by t(p)?
1
Calculate the remainder when 142 is divided by 470/13 + -1*(-2)/(-13).
34
Suppose -7*h = -2*h - 5*w - 45, 0 = -4*h - w + 21. What is the remainder when 10 is divided by h?
4
Let a = 36 + -32. Let q = 2 + 0. What is the remainder when a is divided by q?
0
Let y = 102 - 64. Calculate the remainder when y is divided by 21.
17
Let y(o) = o**3 - 3*o + 7. Let s(v) = -v**3 + v**2 + 3*v - 7. Let q(x) = 6*s(x) + 5*y(x). What is the remainder when 19 is divided by q(6)?
8
Calculate the remainder when 69 is divided by 25*(-10 + 7)/(30/(-4)).
9
Suppose 5*z = 9*z - 240. Calculate the remainder when z is divided by 31.
29
Suppose -1 = 5*t + 4. What is the remainder when 310/8 - t/4 is divided by 8?
7
Suppose -3*d - d + 12 = 4*b, 3*d = -3. Suppose b*g + 1 = 13. Calculate the remainder when g is divided by (1 + 0)*4/2.
1
Suppose -159 = -2*h - 5*b, 2*h - 3*b - 305 = -2*h. What is the remainder when h is divided by 27 - (0 + -2)/(-2)?
25
Let s = 37 - 28. What is the remainder when -25*(1 - 2) - 1 is divided by s?
6
Let y(s) = 4*s**2 - 18*s - 13. Calculate the remainder when 411 is divided by y(6).
20
Suppose -5*v = 4*s - 28, 2*s + s - 14 = -2*v. Suppose p + 3 = s*p. Calculate the remainder when ((-8)/6)/((-2)/6) is divided by p.
1
Let j(f) = -1. Let v(d) = 2*d**2 - 2*d - 2. Let h(w) = -4*j(w) + v(w). What is the remainder when 10 is divided by h(2)?
4
Suppose 4*u - 5*r = 3, u - 3*r - 5 + 6 = 0. Let l(a) = -a + 1. What is the remainder when l(-4) is divided by u?
1
What is the remainder when 85/10 - 2/(-4) is divided by 5?
4
Let h = 8 + -5. Suppose 2*x = -8, -3*x + 0 = i + 6. Let b(j) = j**3 - 6*j**2 + 5. Calculate the remainder when b(i) is divided by h.
2
Suppose -y + 8 = -4. Let z = -45 + 80. What is the remainder when z is divided by y?
11
Suppose 4*k - 50 = 2*k - 4*w, 0 = 4*k + 5*w - 106. What is the remainder when 115 is divided by k?
28
Let o be (11 - 0)/((-5)/(-10)). Let n = 60 - o. What is the remainder when n is divided by 20?
18
Let d = 26 + -14. Let r be (24/30)/(2/5). Calculate the remainder when 19 is divided by d - (-5 + r - -4).
8
Let r(h) = -2*h - 1 - h**2 + 5 - 7*h. What is the remainder when r(-5) is divided by 13?
11
Let l = 3 - -3. Suppose -3*b = -l*b - 5*t + 45, 2*t = -5*b + 56. Let j = 14 + -10. What is the remainder when b is divided by j?
2
Suppose 34 = 5*g + 4. Suppose 55 = g*r - r. Calculate the remainder when (-4)/(-18) + (-178)/(-9) is divided by r.
9
Let a be -33 - 1/(-1) - 1. Let l be (-26)/(-22) - (-6)/a. What is the remainder when ((-37)/(-4))/(l/4) is divided by 13?
11
Let t(y) = 143*y**2 - 1. What is the remainder when t(-1) is divided by 36?
34
Let t = 19 - -11. Suppose 3*k - 5*n = 19, -t = 2*k - 4*k - n. What is the remainder when 24 is divided by k?
11
Let c(t) = t**2 - 10*t - 4. Let d