Let k be 3 - (-1)/((-3)/9). Suppose k = -q - 4, -29 + 5 = -2*a + 5*q. Suppose -3*d + 15 = 2*d. What is the remainder when d is divided by a?
1
Suppose 5*z - 26 = 3*z. Let w = 99 + -49. What is the remainder when w is divided by z?
11
Let y be 8/12*3/(-1). What is the remainder when ((-68)/(-16))/(y/(-8)) is divided by 9?
8
Suppose -4*a = 4*h - 136, 3*a - 105 = -3*h - a. Let n be (-3)/(-6) - h/2. Calculate the remainder when ((-21)/n)/(2/10) is divided by 4.
3
Suppose -4*d - 52 = -5*d. What is the remainder when d is divided by 18?
16
Let j = -24 + 26. Calculate the remainder when j is divided by 1.
0
Suppose -2*c + 4*s + 266 = 0, -c - c + 5*s = -263. What is the remainder when c is divided by 14?
13
Let x(p) = -p + 8. Let v be x(6). What is the remainder when -2 + 34 + (v - 3) is divided by 11?
9
Suppose 4*u - 73 = 67. Let h(c) = -3 + 9*c**3 - c - 3*c**2 + 4*c**2 + 3. What is the remainder when u is divided by h(1)?
8
Let k = 6 - -1. Let j(m) = -m**3 - 5*m**2. Let z be j(-5). Suppose z = 3*o - 9 - 0. Calculate the remainder when k is divided by o.
1
Suppose 4*a + 54 - 466 = 0. Suppose -11 = 4*j - a. Calculate the remainder when j is divided by 6.
5
Suppose i - 5*c - 25 = 0, c = -5*i - 3*c - 20. Suppose 5*v = -5*m, -4*v + 3*m = -i*v - 14. What is the remainder when 35 is divided by (16/6 - v)*18?
11
Suppose -91 + 22 = 3*a. Let m = -12 - a. Suppose -30 = 2*z - 72. Calculate the remainder when z is divided by m.
10
Let g(b) = -b**2 - 6*b - 2. Let t be g(-5). Let o be ((-15)/(-9))/((-1)/t). Calculate the remainder when (-519)/(-15) + (-2)/o is divided by 18.
17
Let i(r) = r**2 + 5*r**3 - 3*r - 10*r**3 + 29 + 4*r + 4*r**3. What is the remainder when i(0) is divided by 10?
9
Suppose 2*q - t - 6 = 0, -4*t + 7 = 4*q - 29. Suppose 0 = -0*h - h - 3*s + 46, -q*h - 5*s + 200 = 0. What is the remainder when h is divided by 10?
7
Let a = -13 - -19. Let o(x) = x**3 - 5*x**2 - 5*x + 9. What is the remainder when 28 is divided by o(a)?
13
Let o = 21 + -17. What is the remainder when o is divided by (2 - -3)*(-3)/(-5)?
1
Let y be 1*(2 + 1 + -2). Suppose -j = 3*g + 2 + y, -52 = -4*j + 4*g. Suppose j = 3*s + 4*x, 4*s - 3*x - 2*x = 43. What is the remainder when 20 is divided by s?
6
Suppose 2*m = -3*r + 198, 0*r + m = -5*r + 323. Suppose -4*d - s = -r + 19, 0 = d - 4*s - 24. Calculate the remainder when 23 is divided by d.
11
Suppose 7 = -3*w - 11. What is the remainder when (-136)/w*3/2 is divided by 18?
16
Suppose 23 = 3*p - 22. Suppose -g + 0*g = -42. Calculate the remainder when g is divided by p.
12
Suppose 0 = 2*h + w - 72, -3*h + 4*w - 36 = -133. Suppose -2*g - 3*j = 3 + 2, g + 4 = -j. Calculate the remainder when h is divided by 1/(((-21)/36)/g).
11
Suppose 0*s - s + 2 = 0, 2*c + 170 = 5*s. Let h be 63/12*c/(-6). Suppose p - 4*p = -4*y + h, 5*p - 67 = -3*y. Calculate the remainder when y is divided by 11.
8
Let v(w) = w**3 - 17*w**2 - 16*w - 8. Suppose 5*x = 2*a - 3 - 2, -3*x + 15 = 0. Calculate the remainder when v(18) is divided by a.
13
Suppose 46 + 19 = m. Suppose -4*v = -2*f - f - m, f + 55 = 3*v. Calculate the remainder when 58 is divided by v.
18
Suppose -20 - 16 = -4*a. Let d(g) = g**3 - 8*g**2 - 8*g + 10. Calculate the remainder when d(a) is divided by 5.
4
Let h = -25 + 42. What is the remainder when 49 is divided by h?
15
Calculate the remainder when 10/(2*2/16) is divided by 12 + (2 - 3) + 3.
12
Let s(u) = -u**3 + 6*u**2 + 2*u + 1. Suppose 2*j - 5 - 3 = 0. What is the remainder when s(j) is divided by 11?
8
Suppose o + 3*f - 29 = 0, f = 5 - 1. Let x = o - -1. What is the remainder when 52 is divided by x?
16
Let b = -6 - -10. Suppose j = 3*s + 25, s - b*s = -2*j + 38. What is the remainder when 49 is divided by j?
10
Suppose -2 = 5*o - 22. What is the remainder when 25 is divided by o/(-18) + (-384)/(-27)?
11
Let g(r) = r**2 - 7*r - 8. Let w be g(9). Suppose -7*b = -2*b - w. Suppose m = b*m - 15. What is the remainder when 44 is divided by m?
14
Let l = 35 - -22. Calculate the remainder when l is divided by 16.
9
Calculate the remainder when ((-6)/5)/((-24)/640) is divided by 19.
13
Suppose 4*m - 67 = 2*c - 7*c, 3*c = 4*m + 53. Calculate the remainder when c is divided by 6.
3
Let z be -1 - -4 - (-1 - -2). Suppose -2*p = 3*x - 87 - 147, -5*x = -z*p - 374. What is the remainder when x is divided by 26?
24
Suppose z - 3*z + 3*x = -8, -3*z = 5*x - 12. Let i be (6/(-8))/(2/(-104)). Calculate the remainder when (i/21 - 1)*7 is divided by z.
2
Let p = 10 - 26. Let t = p - -37. Calculate the remainder when 60 is divided by t.
18
Suppose -5*s + 15 = -10*s. What is the remainder when 72 is divided by -1 - (6 + s) - -29?
22
Suppose -103 = -5*b - 4*c + 118, -5*b = -4*c - 189. Calculate the remainder when b is divided by 7.
6
Suppose y + 3*k + 181 = 5*y, -3*k + 15 = 0. Suppose 2*v - 7*v = 4*p - y, 0 = p - v - 19. What is the remainder when p is divided by 9?
7
Suppose 0 = 4*v - 0*v - 92. Let m = 42 - v. What is the remainder when 37 is divided by m?
18
Let t(a) = a**3 + 9*a**2 - 4*a + 2. What is the remainder when t(-9) is divided by 20?
18
Let y = 120 + -31. Calculate the remainder when y is divided by 30.
29
Let g = -3 - 1. Let b = g - -22. What is the remainder when 51 is divided by b?
15
Let q = 32 + -31. Suppose 4*v - 4*m + 1 = -15, 2*v - 4*m = -12. What is the remainder when 19 is divided by v + q - 11/(-1)?
9
Let u(w) = 26*w + 1. Calculate the remainder when 106 is divided by u(1).
25
Suppose s - 12 = -s + 2*p, 0 = -s - 3*p + 18. Suppose 5*v = -y - 1, -2*y + 17 = 3*v - s. Calculate the remainder when 56 is divided by y.
18
Suppose 2*t - t - 16 = 0. Calculate the remainder when 62 is divided by t.
14
Suppose -1 = -4*f + 11. Suppose -f*j + d = -134, j + 5*d - 250 = -4*j. What is the remainder when j is divided by 24?
22
Let s(t) = t**3 + 7*t**2 + t + 6. Let b be s(-7). Let q be 6*b/(-2) + -2. What is the remainder when 49 is divided by 1*(q - 0)*17?
15
Calculate the remainder when 24 is divided by (-28)/(-21)*(-21)/(-2).
10
Suppose -12 - 45 = 3*i. Let q be i + -2*(-1 + 0). Let f = q + 39. What is the remainder when f is divided by 12?
10
Suppose 5*z + 2*x - 26 = 0, -x = -3*z - 2*z + 32. Calculate the remainder when 15 is divided by z.
3
Suppose 226 = 5*z + 51. Calculate the remainder when z is divided by 12.
11
Let y = 11 - -2. Suppose -3*g = -2*f - 2*f - y, -4*g + 14 = -2*f. Suppose -5*v + 22 = -o, 2*o = 2*v - 0*v - 4. What is the remainder when v is divided by g?
2
Suppose 0 = s + 2 - 5. Suppose -16 = 5*g - 9*g. Calculate the remainder when g is divided by s.
1
Let t(r) = r**2 + 13*r - 10. Let a be t(-13). Let m = a + -2. What is the remainder when 5 is divided by m/(-9)*(-3)/(-2)?
1
Let o(q) = -q**3 - 5*q**2 - q + 7. Let z be (-5 + 3 + 2)/(-2). Let m(t) = t + 35. Calculate the remainder when m(z) is divided by o(-5).
11
Suppose 5*n = -2*r + n - 8, 12 = -3*r - 4*n. Let z be r/(-6)*(5 - 23). What is the remainder when (z/30)/(1/(-10)) is divided by 3?
1
Let o be (8/6)/((-2)/(-6)). Let m(l) be the third derivative of l**4/8 - 2*l**3/3 - 3*l**2. What is the remainder when 15 is divided by m(o)?
7
Suppose 2*n + 20 = -2*n. Let v(c) = c**2 + 20*c + 26. Let w be v(-19). Let h = w + n. Calculate the remainder when h is divided by 1.
0
Let c(a) = -a + 8. Let o be c(-9). Suppose 0*k - o = -k. Suppose 0*b - b - 4*v + 9 = 0, -2*b + 2*v + 18 = 0. Calculate the remainder when k is divided by b.
8
Let f = -6 + 15. Let u = f - 4. Calculate the remainder when 9 is divided by u.
4
Suppose -2*k + 16 = -0*k. Suppose 1 = 3*r + 4. Let a(b) = 3*b**2 + b + 1. What is the remainder when k is divided by a(r)?
2
Let l = 209 - 163. Calculate the remainder when 88 is divided by l.
42
Let a = -42 + 56. Calculate the remainder when 39 is divided by a.
11
Suppose -q + 1 = 0, 2*q = 4*u - 3*q + 33. Let r = -10 + 10. Let w = r - u. What is the remainder when w is divided by 3?
1
Let x = 24 - 9. What is the remainder when x is divided by 9?
6
Let m = 57 - 34. Suppose -2*i + 3*y + 17 = 4*y, -i + 2*y + 6 = 0. Suppose 4*g = 3*g + i. What is the remainder when m is divided by g?
7
Let t(q) = q**3 - 4*q**2 + 5. Let w be -2 - (-1 - 0)*7. Let l be t(w). Suppose a - l = -2*a. Calculate the remainder when 18 is divided by a.
8
Let d(i) = -i + 44. Let t = -39 - -62. Calculate the remainde