a - 937. Suppose 6*m - 2*m = -a. Let j = -75 - m. Calculate the remainder when j is divided by 15.
14
What is the remainder when -9*(-2)/6 + 11 is divided by 8?
6
Suppose 2*m + m = -r + 63, 0 = 2*r - 5*m - 104. Let c = r - 19. What is the remainder when c is divided by 13?
12
Let g(y) = y**3 - 4*y**2 - 8. Let w(d) = d**2 - 4*d - 3. Let u be w(6). Suppose -f + 2*f - u = 0. Calculate the remainder when g(5) is divided by f.
8
Let p(c) = 2*c - 4. Let i be p(3). Suppose -i*o = -5*o + 15. Calculate the remainder when 14 is divided by 5*o/(75/24).
6
Suppose 5*k + 5 = -0*k. Calculate the remainder when 37 is divided by (-1)/(0 + k/10).
7
Let f(a) = 2*a**2 + 7*a + 4. Calculate the remainder when 4/(-6) + (5980/(-12))/(-5) is divided by f(-6).
31
Let g(q) = 0*q**2 - q + 6*q**2 - q**2. Let f be g(1). Suppose f*t = t + 18. What is the remainder when 17 is divided by t?
5
Let r = 102 - 88. Calculate the remainder when r is divided by 4.
2
Suppose -2*b + 3 = -3. Suppose 0 = -5*y + 4*w + 5, -b*y + 3 = -7*w + 2*w. What is the remainder when 3 is divided by y?
0
Let i(f) = 27*f - 5. Suppose 20 = -4*k - 4. Let n = k - -14. What is the remainder when i(1) is divided by n?
6
Suppose -4*u = u - 85. Suppose -r + u = -0*r. Calculate the remainder when 49 is divided by r.
15
Calculate the remainder when (-6)/(26/16 - 2) is divided by 5.
1
Let b(q) = 2*q**2 + q - 5. Let n be (-5 + 3 - -9) + -3. Let f = 22 - 11. Calculate the remainder when b(n) is divided by f.
9
Suppose 0 = -2*a + 8. What is the remainder when 19 is divided by a?
3
Suppose -36 = -3*f - 3*h, 5*h = h + 8. Suppose k - 9 = -3*y, 4 = y + 3*k - 7. Suppose 84 = y*b + b. Calculate the remainder when b is divided by f.
8
Suppose 2*c = m - 69, -3*m - c = -3*c - 227. Calculate the remainder when m is divided by 20.
19
Let l = -59 - -100. Calculate the remainder when 162 is divided by l.
39
Let f(a) = a**2 - 6*a - 1. Let z be f(6). Let q(v) = -v - 5. Let i be q(7). What is the remainder when 1/z - (1 + i) is divided by 4?
2
Let t(m) = -m**2 + 9*m + 3. Let n(b) = b**3 - 3*b**2 - 3*b + 3. Let q be n(4). Let d be t(q). Let h = -5 + d. What is the remainder when 34 is divided by h?
10
Suppose 0 = -5*q - 10, -w + 5*w - 3*q = 154. Calculate the remainder when 144 is divided by w.
33
Suppose -3*d + 2*d = -9. Let i(f) = f**2 - 6*f - 10. What is the remainder when 33 is divided by i(d)?
16
Let b(g) = 20*g. Let f(j) = 2*j + 9. Calculate the remainder when b(2) is divided by f(6).
19
Let r = 9 + -4. Let z(s) = s**2 - 6*s + 6. Suppose -3 = -3*w - 0*w. What is the remainder when w is divided by z(r)?
0
Let p(o) = 2*o + 4. What is the remainder when p(15) is divided by 5?
4
Suppose -3*z + 6*z = 36. Calculate the remainder when 131 is divided by z.
11
What is the remainder when 4/1 + (59 + -5 - -6) is divided by 22?
20
Suppose 0*l + 15 = -3*l, -l + 9 = j. Calculate the remainder when 27 is divided by j.
13
Suppose 0*r + 2*p + 42 = r, -5*p = 4*r - 142. Let b = -7 + 27. Calculate the remainder when r is divided by b.
18
Suppose 4*h - 8 = 8, -5*h + 80 = 3*m. Calculate the remainder when 38 is divided by m.
18
Let i(f) = f**2 - 3*f - 4. Let y be i(5). Calculate the remainder when 496/y + 5/15 is divided by 21.
20
Suppose 5*k = 3*l + 16, 3*k = 5*l + 5 + 11. Calculate the remainder when 58 is divided by l/(((-8)/(-60))/(-1)).
13
Let i(a) = a**2 - 3*a + 1. Suppose 3*z + 40 - 268 = 3*c, 0 = 3*z - 2*c - 227. What is the remainder when z is divided by i(-3)?
18
Let w = 31 + 14. Let z = w + -32. Suppose 2*p - 5 - 2 = r, -4*r + 12 = 0. Calculate the remainder when z is divided by p.
3
Suppose 4*t + 37 = 2*n - t, 0 = 5*t + 25. Let s(k) = k**3 - 7*k**2 + 8*k + 3. Suppose 4*z - 1 - 175 = 0. Calculate the remainder when z is divided by s(n).
14
Let m(b) = -7*b. Suppose 3*g = 4*g + 4*d - 1, -4*d - 26 = -2*g. What is the remainder when m(-5) is divided by g?
8
Let v(q) be the third derivative of q**5/60 - 3*q**4/8 + 5*q**3/3 - q**2. Let u = 52 - 34. Calculate the remainder when u is divided by v(9).
8
Suppose -v + i - 17 + 70 = 0, -3*i + 6 = 0. Suppose -14 = -g + q, 3*g - 42 = -0*g - 2*q. Calculate the remainder when v is divided by g.
13
Let g be (-1)/(4/196*-1). Suppose 0*o - o = -g. What is the remainder when o is divided by 13?
10
Suppose -7*u + 101 = -172. What is the remainder when 114 is divided by u?
36
Let q(i) = i**2 + 3*i + 1. Let d be q(-1). Let l(n) = -27*n + 1. Calculate the remainder when l(d) is divided by 15.
13
What is the remainder when (-21)/((-4)/(-14) - (-9)/(-7)) is divided by 4?
1
Let z(l) = l**3 - 6*l**2 - 13*l + 9. Let u be z(8). Let o = u + -12. What is the remainder when o is divided by 8?
5
Let v = 49 + -13. Calculate the remainder when v is divided by 13.
10
Let w = -34 - -28. Let a(t) be the second derivative of -t**3/6 + 4*t**2 - t. Calculate the remainder when 27 is divided by a(w).
13
Let f(n) = 5*n - 19. What is the remainder when f(9) is divided by 16?
10
Suppose 0 = -0*s + 3*s - 138. Calculate the remainder when s is divided by 8.
6
Let z(i) = i**3 + 4*i**2 + 6*i. Let f be z(-4). Let n = f + 7. Let s = 34 + n. What is the remainder when 50 is divided by s?
16
Suppose -r = 3*b - 14, -4*b + 3*b + 3*r = 12. Suppose 2*x - 14 = -b*c, -4*x = 3*c - c - 4. What is the remainder when c is divided by 3?
0
Suppose -5*l - 4 + 19 = 0. Suppose 0 = 4*z + 4*t + 196, z = -l*z - 5*t - 200. Let b = 83 + z. What is the remainder when b is divided by 13?
12
Suppose 5*t - 2 = d, 2*t + 0*d + 3*d = 11. Calculate the remainder when t is divided by 1 - 0*(-1)/2.
0
Suppose 2*l - 5 = 5*d, -d - l + 7 = -3*l. Let t(v) = -3 - 3 + 10 - v - v. Calculate the remainder when 19 is divided by t(d).
9
Suppose 3 = -5*j + 3*w, 4*w + 20 = -j + 1. What is the remainder when (-14)/j*72/14 is divided by (-156)/8*(-4)/6?
11
Suppose o = 4*o. Suppose o = -2*s + 12 - 4. Let y = 6 + -3. Calculate the remainder when s is divided by y.
1
Let h be (22/6)/((-2)/6). Let b = -6 - h. Calculate the remainder when 14 is divided by b.
4
What is the remainder when (3/(-2))/(5/(-30)) is divided by 6?
3
Let b = -39 + 79. Suppose -5*y + x + 18 = 0, y - 4*x - 6 - 9 = 0. Suppose -y*k + 27 = -36. What is the remainder when b is divided by k?
19
Let p(v) be the second derivative of -21*v**5/20 - v**3/6 + v**2/2 + v. Let m be p(1). What is the remainder when 12 is divided by 2/(1 - (-15)/m)?
5
Let f(r) = 41*r - 7. Calculate the remainder when f(3) is divided by 17.
14
Let o = -6 + 11. Suppose 0 = 2*n + 2*d - 10, 2 = 3*n - o*d - 5. Suppose 2*f + 3*f = 50. What is the remainder when f is divided by n?
2
Let s = 20 - 10. What is the remainder when 12 is divided by 19/3 + s/15?
5
What is the remainder when 247 is divided by -2 + (-3 - -4)/((-2)/(-130))?
58
Let a = 113 + -99. What is the remainder when 24 is divided by a?
10
Let f = -47 + 71. Calculate the remainder when (17/(-4))/((-6)/f) is divided by 9.
8
Let b(f) = 3*f**2 - 4*f + 4. Let q be b(-4). Let v = -47 + q. Calculate the remainder when v is divided by 8.
5
What is the remainder when 70 is divided by (-1*1)/(11/(-132))?
10
Let x = -9 + 15. What is the remainder when 15 is divided by 18/(-15)*(-20)/x?
3
Let t be (-115)/15 - (-1)/(-3). Let p(s) = -2*s - 3. What is the remainder when 0/2 - 38*-1 is divided by p(t)?
12
Let h = -7 - -12. Let o(v) = v**2 + 9*v + 8. Let f be o(-8). Let j = h - f. What is the remainder when j is divided by 3?
2
Calculate the remainder when 49 + 0 + 21/7 is divided by 27.
25
Suppose -4*x + 0*x = 0. Suppose x = 2*n - 17 + 1. What is the remainder when 20 is divided by n?
4
Let i(m) = -13*m**2 - 4*m - 1. Let u(k) = 12*k**2 + 3*k + 1. Let h(y) = 2*i(y) + 3*u(y). What is the remainder when h(-2) is divided by 10?
9
Let b(z) = 30*z**3 - z**2. Let i be b(-1). Suppose -4*g = -4*c - 184, -3*c + 156 = -2*g + 6*g. What is the remainder when g is divided by (-2)/3*(i + -2)?
20
Let w(a) = a**3 + 5*a**2 + 2*a - 5. Let y be w(-4). Suppose 0 = t - 5*u - 71, -u - y*u = 4*t - 236. What is the remainder when t is divided by 21?
19
Let x(j) = 4*j - 2. Calculate the remainder when 69 is divided by x(5).
15
Calculate the remainder when 59 is divided by (-116)/(-8) - (-4)/8.
14
Let h(v) = -18*v**3 - v**2 + 2. Suppose 5*a + 5*o = 45 - 10, 5*a = 3*o + 59. Calculate the remainder when h(-1) is divided by a.
9
Let