 -4. Calculate the remainder when (87/(-6) - -2)*x is divided by 14.
11
Suppose 16*u - 389 = -85. What is the remainder when u is divided by 2?
1
Let x = -235 - -13. Let o = -11 + 13. Calculate the remainder when (o/3)/((-4)/x) is divided by 13.
11
Suppose -3*d = -2*n + 21, -4*n + 30 = -5*d - 11. Calculate the remainder when 60 is divided by n.
6
Suppose -3*d + 4*u + 20 = -18, 3*d = -4*u - 2. Suppose 3*m - 3*f - 74 = -2*m, f = 2. Suppose -m = -i - 6. Calculate the remainder when i is divided by d.
4
Let x = -6 - -10. Suppose -2*m + 5*m - 27 = 0. Suppose -5*s = -m - 1. What is the remainder when x is divided by s?
0
Let m(d) = -d**3 + 2*d**2 + 3*d + 3. Let b be m(-4). Let n = -56 + b. What is the remainder when n is divided by 11?
9
Let o = 41 + -20. Let k(y) = y**2 + 2*y - 1. Let x be k(-4). Suppose -2*d - x = -o. What is the remainder when d is divided by 5?
2
Let c(o) = -o**2 + 22*o - 25. Calculate the remainder when 43 is divided by c(20).
13
Suppose -9*u + 10*u - r - 9 = 0, -5*r - 29 = -3*u. Calculate the remainder when 14 is divided by u.
6
Calculate the remainder when (-46*(-2)/6)/(6/9) is divided by 16.
7
Let d = 62 - 55. Calculate the remainder when 48 is divided by d.
6
Suppose -33 + 397 = 2*p. Suppose p = r + r. What is the remainder when r is divided by 23?
22
Let z(u) = u**2 + u - 1. Let k = -2 - -3. Suppose -3 = -4*v + k. What is the remainder when z(1) is divided by v?
0
Suppose 12 = i + 2*i, 2*i = -a + 18. What is the remainder when 74/4 + (-1)/2 is divided by a?
8
Suppose 16 = -3*a + a - 3*i, 0 = a - 2*i + 1. Let p = 1 - a. Let y = 7 + p. What is the remainder when y is divided by 5?
3
Let c(y) = 2*y**3 - 2*y**2 + 2*y - 2. Suppose -m + 0*m - 3 = 0, p + 51 = 5*m. Let o = 94 + p. Calculate the remainder when o is divided by c(2).
8
Let h = -73 - -120. Suppose 95 = 5*t - b, -5*b = t + 3*t - h. Suppose 9 = -3*c, -5*y + 0*y + 262 = c. What is the remainder when y is divided by t?
17
Let x(y) = 25*y**2 + y - 2. Let a be x(1). Let t = a + -4. Calculate the remainder when t is divided by 8.
4
Suppose 12 = -2*n + 6*n, -5*j + 51 = -3*n. Calculate the remainder when j is divided by 7.
5
Let l(b) = b + 20. Let q be l(9). Let s be -1 + (-22)/(-1) + 1. Suppose s + q = 3*n. What is the remainder when 50 is divided by n?
16
Let a(x) = 3*x + 1. Let d be a(1). Let g = d - -9. What is the remainder when g is divided by ((-1)/2)/(7/(-98))?
6
Suppose -79 = -4*r + 13. Suppose 0*s - 2*g = s - 61, -5*g = s - 55. Suppose -25 = 5*b - s. What is the remainder when r is divided by b?
7
Suppose -6*p + 4*p - 2*c = -54, 29 = 2*p - 3*c. Calculate the remainder when 131 is divided by p.
21
Let o(v) = -v + 12. Suppose 5*l + 5*j - 24 = 16, -2*l + 5*j = 19. Let w be (-12)/(-28) - l/7. What is the remainder when 45 is divided by o(w)?
9
Let l(f) = f**2 - 3*f + 1. Let i be l(3). Let j = i - -1. Suppose -j*k - 4*m + 31 - 5 = 0, -4*k - 2*m + 70 = 0. What is the remainder when k is divided by 10?
9
Let v be 1/2 - (-182)/4. Suppose 2*z - z = v. Suppose -x + 22 = 3*f, -5*x + 93 = -4*f + 21. What is the remainder when z is divided by x?
14
Let a be (0 - (-16)/(-10))*-10. Let b = a - 5. What is the remainder when 53 is divided by b?
9
Let y be 2 - (19 + 1/(-1)). Let a = -7 - y. Calculate the remainder when 35 is divided by a.
8
Suppose -5*b + 5 = 5*l, -4*b - 5*l = 4 - 7. Suppose 4*v = 5*u + 5*v - 156, 91 = 3*u - b*v. Suppose -t = -u + 6. What is the remainder when t is divided by 9?
7
Let j(k) be the third derivative of k**6/30 + k**5/60 - k**4/24 - 2*k**2. Calculate the remainder when 17 is divided by j(1).
1
Suppose 0 = -5*u - 5*x + 10, 5*x = 15. Suppose 3*o + 8 = 44. Calculate the remainder when o is divided by 9 - 2/((-1)/u).
5
Let y(m) = m + 28. Calculate the remainder when y(-8) is divided by 8.
4
Suppose -93 = -5*c + 72. Suppose 0 = -u - 5*l + 12, -l = u + 4*u - 60. What is the remainder when c is divided by u?
9
Calculate the remainder when 2/(-3)*(297/(-2) + 3) is divided by 10.
7
Suppose 5*o = 15, 3*o - 250 + 71 = -5*d. Suppose -3*k = -9*k + 594. What is the remainder when k is divided by d?
31
Let o(a) = a. Let l be o(4). Let p(h) = h**2 - h - 3. What is the remainder when 35 is divided by p(l)?
8
Let u(r) = 2*r**2 - 6*r - 23. What is the remainder when u(9) is divided by 22?
19
Let k = -12 + 18. Let a be 0*(-1)/(-4)*2. Suppose 3*m - 41 + 8 = a. What is the remainder when m is divided by k?
5
Let k = 43 + 20. Suppose 22 + k = 5*d. Suppose 14*j - 479 = -17. What is the remainder when j is divided by d?
16
Suppose -w - 4*i = 16, 2*i = -w + i - 28. Let z be (3/(-6))/(1/(-6)). What is the remainder when 10*z*w/(-30) is divided by 11?
10
Let u(i) be the third derivative of i**5/60 + i**4/8 - i**3/3 + i**2. Let v(s) = 2*s**2 + 3*s + 3. What is the remainder when v(-2) is divided by u(-4)?
1
Let s = -81 - -84. Calculate the remainder when 9 is divided by s.
0
Suppose t + 2*t - 9 = 0. Suppose -t*g + 5*g + 23 = 5*s, -10 = -2*s + g. Suppose -1 = q - s. What is the remainder when 4 is divided by q?
0
Suppose 7*t - 3*t = -2*a + 28, t + 56 = 4*a. Calculate the remainder when 43 + (-3 - -1 - 1) is divided by a.
12
Let g = -26 + 45. Calculate the remainder when 56 + -1 + 2/2 is divided by g.
18
What is the remainder when 10/4*(2 + 6) is divided by 7?
6
Let r = 127 - 53. Calculate the remainder when r is divided by 38.
36
Suppose -x = 2*i - 3*x - 26, i - 7 = 4*x. Let u = 79 + -50. Calculate the remainder when u is divided by i.
14
Suppose 74 = 3*q + 11. Calculate the remainder when q is divided by 11.
10
Let f(l) = l**2 - 5*l + 3. Let w be f(5). Suppose 5 = w*s - 10. What is the remainder when 18 is divided by s?
3
Let o = -6 - -68. What is the remainder when o is divided by 9?
8
Let b(o) = 6*o + 2. Let h be b(4). Suppose 0*x + 3*p - 30 = -3*x, -2*x = 4*p - h. Calculate the remainder when x is divided by 3.
1
Let b = 6 + -4. Suppose 3*z - b*p - 130 = -34, -5*z + 147 = p. Let q = -16 + z. Calculate the remainder when 41 is divided by q.
13
Let o(p) = -p**2 + 12*p - 9. Let c be o(8). Let y = 34 - c. Calculate the remainder when 31 is divided by y.
9
Suppose 0 = -0*b - b + 39. Let g = 50 + -30. Calculate the remainder when b is divided by g.
19
Let u = 189 - 135. Suppose 9 = -4*h + 53. Calculate the remainder when u is divided by h.
10
Suppose 3*o + o + 108 = 4*t, 3*t + 2*o = 91. Let b = -14 + t. What is the remainder when b is divided by 8?
7
Let q(z) = -z**2 - 8*z - 6. Let m be q(-6). Suppose m*i - 10 = i. Suppose 2*k - 14 = 3*y + 12, -i*y = 2*k - 6. Calculate the remainder when k is divided by 5.
2
Suppose 180 = 3*m + m. What is the remainder when m is divided by 12?
9
Let f = 18 + -9. Calculate the remainder when 35 is divided by f.
8
Let i(s) = -6*s + 1. Let g be 0 - 0 - (-3 - -9). Calculate the remainder when i(g) is divided by 12/(-20) + (2 - (-264)/15).
18
Let g be 1*-3 + 2040/12. Suppose -3*n - 111 = -3*i, i + n - g = -4*i. What is the remainder when i is divided by 12?
10
Let a(m) = 19*m**2 + m - 1. What is the remainder when a(1) is divided by 11?
8
Let y = 98 + -66. Suppose -2*j + 43 = 3*q - 4*j, -4*q - 4*j = -24. What is the remainder when y is divided by q?
10
Let f(i) = -33*i + 8. Calculate the remainder when f(-2) is divided by 11.
8
Let a = -19 - -20. What is the remainder when 1 is divided by a?
0
Suppose 0 = -2*z + 2 + 2, 5*u - 93 = -4*z. Suppose l - 52 = 2*k, 4*l - l = -3*k + 147. Calculate the remainder when l is divided by u.
16
Let l = 82 - 51. Let m(k) = -3*k**3 + 4*k**3 + 1 - 3*k + 0 + 2*k**2. What is the remainder when l is divided by m(2)?
9
Calculate the remainder when 69 is divided by 213/15 + 36/45.
9
Let v = 9 - 6. Suppose -5*h - 2*f = -107, 8*h - v*h = -4*f + 109. What is the remainder when 81 is divided by h?
18
Let a(p) = p**2 + 7*p + 4. Let d be a(-9). Let z = d - -87. Let f = z - 63. What is the remainder when f is divided by 16?
14
Let f(h) = h**3 - 3*h**2 - 4*h + 5. Let a(p) = -p + 18. What is the remainder when a(0) is divided by f(4)?
3
Let i(w) = 2 - 6 - w**2 + 2 - 5*w + 3. Suppose 3*c = -c + 4. What is the remainder when c is divided by i(-5)?
0
Suppose 0 = 3*n - 3 - 0. Calculate the remainder when n + 3/(-3) - -46 is divided by 16.
14
Suppose j = 6*j + 25, j + 11 = 2*l. Suppose l*b + 82 = 4*b. Let g = -58 + b. What is the remainder 