ppose 5*b - 145 = -3*f, -b + 5*f - 2 = -3. Calculate the remainder when b is divided by (-3)/((-15)/35) - 0.
5
Suppose 3*a + a = 112. Suppose -3*i - 80 = -17. Let f = 31 + i. Calculate the remainder when a is divided by f.
8
Let b(p) = p**2 - 11*p - 5. Let u be b(8). Let z = 62 + u. What is the remainder when z is divided by 17?
16
Let t(p) = -4*p**2 - 4*p**2 + 3*p**2 + 9 - 1 + 5*p - p**3. Calculate the remainder when (27/4)/((-1)/(-4)) is divided by t(-6).
13
Suppose 2 = -5*l - 3. Let z(f) = -f**2 + f + 39. What is the remainder when z(0) is divided by 19 + 2 + l/1?
19
Suppose -2*j + 6*j - 48 = 0. What is the remainder when 1/(-2) - 91/(-2) is divided by j?
9
Let i(k) = 22*k**2 + 3*k - k**3 - 14 + 2*k**3 - 35*k**2. Let w(a) = a**3 + 7*a**2 + 5*a + 7. What is the remainder when i(13) is divided by w(-6)?
12
What is the remainder when 26 is divided by (-3)/6 + 31/2?
11
Suppose s - 2*b + 7 = 2*s, 5*s + 4*b - 59 = 0. Suppose 4*j = -s + 51. Calculate the remainder when 34 is divided by j.
7
Let h(z) = -3*z. Let s(l) be the third derivative of l**5/60 + l**4/12 + 11*l**3/6 - l**2. Calculate the remainder when s(-6) is divided by h(-3).
8
Let s(a) = 3*a**3 - 14*a**2 + 16*a + 24. Let k(i) = i**3 - 7*i**2 + 8*i + 12. Let r(v) = 5*k(v) - 2*s(v). What is the remainder when 23 is divided by r(-8)?
11
What is the remainder when 67 is divided by (-665)/(-20) - 9/(-12)?
33
Let y(n) = -n - 7. Let q be y(-7). Suppose q = 4*t - 7*t + 12. What is the remainder when 6 is divided by t?
2
Let s be 74/(-10) - (-9)/(-15). What is the remainder when 1005/9 - s/(-12) is divided by 28?
27
Let u = -15 - 40. Let i = -26 - u. Calculate the remainder when i is divided by 8.
5
Let o = 58 - 31. Suppose -2*h + u - 37 = -6*h, 2*h - 14 = -2*u. What is the remainder when o is divided by h?
7
Let l(n) = 6*n**3 + 3*n**2 - 4*n + 2. What is the remainder when l(2) is divided by 14?
12
Suppose -4*d = d + 2*z - 90, -5*z - 25 = 0. Calculate the remainder when 38 is divided by d.
18
Let x be -1*(1 + -2 - 1). Suppose x*n - 6 = 8. What is the remainder when 20 is divided by n?
6
Let h(g) = g**2 - 10*g + 2. Calculate the remainder when 23 is divided by h(11).
10
Suppose -3*i + 22 = -2*i. Let j = i + -13. Calculate the remainder when j is divided by 3.
0
Let q = 14 - 7. Suppose -g - 2*g + 5*h = 17, -3 = 5*g - 2*h. Calculate the remainder when (1/1*13)/g is divided by q.
6
Let i = 4 + -4. Suppose 3*k - 7*k + 24 = i. Let g(u) = u**2. What is the remainder when k is divided by g(-2)?
2
Suppose j = 4*t - 9*t + 83, 4*t = -2*j + 70. What is the remainder when 45 is divided by t?
13
Suppose 2*k - 4*k = 0. Suppose 0 = -k*h - h + 6. Let f = -25 + 48. Calculate the remainder when f is divided by h.
5
Let t be (1 + -1)*(3 - 2). Let y(n) = -n**2 + 14. Calculate the remainder when 54 is divided by y(t).
12
Let f = 29 - -1. Calculate the remainder when 119 is divided by f.
29
Let f(x) = -x**3 + 7*x**2 + 4*x - 12. What is the remainder when f(5) is divided by 30?
28
Let m = -6 - -7. Let r = m + 17. What is the remainder when r is divided by 10?
8
Suppose -5*z - 2*d = -239, -2*d - 75 = -5*z + 156. What is the remainder when z is divided by 10?
7
Calculate the remainder when 19 is divided by 1*27/3 + 3.
7
Let v(i) = i**3 + 8*i**2 - 4*i + 5. Calculate the remainder when 71 is divided by v(-8).
34
Let c = 3 + -2. Let b be (-2)/((5/2)/(-5)). Suppose 9*z + 27 = 2*h + b*z, 19 = 4*h - 3*z. What is the remainder when c is divided by h?
0
Suppose o = -2*f + 2*o + 9, 4*o - 55 = -5*f. Let g = f - 3. Suppose -4*n = 3*p + 4, n - 2*n + 14 = -3*p. What is the remainder when g is divided by n?
0
Suppose -3*f + 2*z = -476, 3*z = 3*f - z - 484. Suppose 56 = -4*q + f. Calculate the remainder when q is divided by 13.
12
Let z(q) = 4*q**2 - 4*q + 5. Calculate the remainder when 51 is divided by z(2).
12
Let d = 23 + 5. Calculate the remainder when 109 is divided by d.
25
Let w = -15 + 30. Calculate the remainder when 5 is divided by (-1)/((w/(-9))/5).
2
Let k = 281 - 561. Suppose 4*b = 0, 0*a + b + 18 = 3*a. Calculate the remainder when ((-3)/2)/(42/k) is divided by a.
4
Let a(l) = -l - 5. Let j(b) = -b**2 - 8*b - 5. Let n be j(-8). Let p be a(n). Suppose p = 3*i - 36 - 21. What is the remainder when 36 is divided by i?
17
Suppose 2*b = m - 15, 0 = -5*m - b - 0*b + 86. Calculate the remainder when m is divided by -1*6 - (-240)/16.
8
Let g(r) = 10*r**2 + 3*r - 3. Let m be g(3). Let o = m - 68. Suppose 0*p + 22 = 2*h - p, 4*p + o = 3*h. Calculate the remainder when h is divided by 7.
5
Let v be 0/(3/((-6)/(-4))). Suppose v = 4*k - 90 - 90. Suppose 0*q - 3*c = 5*q - 51, 5*q - k = -5*c. What is the remainder when 22 is divided by q?
10
Calculate the remainder when 84 is divided by (3/(-6))/(2/(-116)).
26
Suppose 5*i = -5*x + 35, -i + 23 = -x + 4*i. Let t = 3 - 0. Calculate the remainder when t is divided by x.
1
Let v(f) = -f**3 + 3*f + 1. Suppose 12 = 6*c - 0. Calculate the remainder when v(-2) is divided by c.
1
What is the remainder when (-6 + 2)*(-703)/38 is divided by 2/(-4) - (-93)/6?
14
Let w = 105 + -63. Suppose -2*t = 4*i - w, -4*t - 6 = -2. What is the remainder when 41 is divided by i?
8
Let x = 0 - -4. Suppose 0*w = 4*w - 48. Suppose 6*m - m + 23 = 4*b, -4*m = w. What is the remainder when x is divided by b?
0
Suppose r = 4*r - 189. Let m = r + -35. Calculate the remainder when m is divided by 10.
8
Let m be 6/1 - (10 + -7). Suppose -i - m*l + 62 = 0, -5*l - 22 = -i - 0*i. Calculate the remainder when i is divided by 16.
15
Let m = 6 - 2. Suppose -5*s = h - 9, -2*h = m*s - 5*h + 8. Let z(o) = 9*o**2 - o. What is the remainder when z(s) is divided by 3?
2
Calculate the remainder when (-17)/2*(2 - 6) is divided by 12.
10
Let i(p) be the second derivative of p**3/3 + 3*p**2/2 - p. What is the remainder when i(11) is divided by 13?
12
Let q = 133 - 101. Calculate the remainder when q is divided by 18.
14
Let k = 19 + 25. Suppose -w = d + 3*w - 11, 2*w - k = -4*d. Let t(v) = -v**3 - 8*v**2 + 4*v - 13. Calculate the remainder when t(-9) is divided by d.
10
Let f(m) = -m + 15. Let q be f(12). Suppose 7*v - q*v + 2*s - 60 = 0, 4*v - 3*s = 60. What is the remainder when (-4)/(2/(-1))*14 is divided by v?
13
Suppose -2*u + 104 = -20. Calculate the remainder when u is divided by 21.
20
Suppose -3*n + 4*f + 19 = 6*f, -5*f = 5*n - 30. Calculate the remainder when 12 is divided by n.
5
Let y(p) = p**3 + 5*p**2. Let v be y(-5). Suppose v = -j - 4*j + 165. What is the remainder when -1 + j/3 + -3 is divided by 3?
1
Let w = 14 - -31. What is the remainder when w is divided by 16?
13
Let b = 5 - -7. Let y(s) = -6*s**2 - 2 + 6*s + s**2 + 4*s**2. What is the remainder when b is divided by y(3)?
5
Suppose -4*x + 3*k + 326 = 0, 77 = x - 0*x - 3*k. Suppose 5*q - x = -13. Suppose 58 = 4*z + q. Calculate the remainder when z is divided by 6.
5
Let c be 3*6/(-27)*6. What is the remainder when 19 is divided by 2/c*(-88)/4?
8
Let s = -52 + 68. What is the remainder when 79 is divided by s?
15
Suppose -14 = 2*o + 2. Suppose 5*m = -3*y + 64 - 20, -22 = -2*m + y. What is the remainder when m is divided by o/3*6/(-4)?
2
Let l(z) = -z**3 + 5*z**2 + 2*z - 1. Let x be l(5). Suppose -4*a - 50 = -x*a. Calculate the remainder when a is divided by 6.
4
Let v = 9 + -14. Calculate the remainder when 11 is divided by 1/(-5) - 36/v.
4
Suppose -u + 3*j - 72 = -4*u, -j + 82 = 3*u. Calculate the remainder when u is divided by 10.
9
Suppose 4*p + 15 = -p. What is the remainder when 24 is divided by (10/2)/(p + 4)?
4
Let g be 2*(-3)/(-6)*-2. Let t be (2/(-4))/(g/(-8)). Let n = t - -18. What is the remainder when 47 is divided by n?
15
Suppose 2*c = 7*c - 70. What is the remainder when (2 - (-3)/(-2))*106 is divided by c?
11
Let g(f) be the first derivative of f**3/3 + f**2/2 + f - 1. Calculate the remainder when 61 is divided by g(-6).
30
Let h(q) = -q**2 + 5*q - 2. Let p be h(6). Let u = -3 - p. Calculate the remainder when u is divided by 3.
2
Let f(b) = 4*b - 2. Let j = 0 + 6. Let h be ((-2)/4)/((-1)/j). What is the remainder when 18 is divided by f(h)?
8
Let i(h) = 2*h**2 + 2*h + 1. Suppose -3*u + 4 + 2 = 0. Let s(y) = -2*y + 1. Let c be s(u). What is the remainder when 37 is divided by i(c)?
11
Let h(v) = v**2 - 2*v. Let r = 18 - 2. What is the remainder wh