is the remainder when 14 is divided by f?
6
Let y be (0 + -1)*2*-7. Suppose -y - 18 = -2*b. Suppose 3*a + 0 = l + 34, -2*a - l = -b. Calculate the remainder when 28 is divided by a.
8
Suppose -99 = -3*s + 2*s - 4*p, s - 5*p = 81. Calculate the remainder when s is divided by 23.
22
Let a(c) = c + 2. Let g be a(4). Let v = -5 - -26. Suppose z = -g + v. Calculate the remainder when 28 is divided by z.
13
Suppose 0 = 5*r - n - 3*n - 25, -2*n + 1 = -r. Suppose d = -21 - r. Let t = d - -48. Calculate the remainder when 33 is divided by t.
15
Suppose -3*q - p + 0*p + 26 = 0, 8 = 4*p. Let l(g) = 7 - g - 2*g + 2*g. Calculate the remainder when l(-8) is divided by q.
7
Let o(x) = 10*x - 1. Let u(v) be the second derivative of -5*v**3/6 + 3*v. Let j(i) = -3*o(i) - 7*u(i). What is the remainder when j(4) is divided by 12?
11
Let h = 48 + -42. What is the remainder when 18 is divided by h?
0
Suppose -2*c = -4*y - 182, 5*c - 205 = -4*y + 292. What is the remainder when c is divided by 25?
22
Suppose 2*y = -2*r + 312, -2*y + 271 + 26 = -3*r. Calculate the remainder when y is divided by 11.
10
Let d(w) be the first derivative of -w - 1 + 0*w**2 + 2/3*w**3. What is the remainder when d(5) is divided by 17?
15
Let n(t) = -3*t - 5. Suppose 4*p + 4*q - 184 = 0, 4*p = 5*q + 230 - 1. What is the remainder when p is divided by n(-6)?
12
Suppose -3*x - 144 = -3*h, h + x + 4 - 54 = 0. What is the remainder when h is divided by 13?
10
Let l(m) = 5*m - 9. Let c = 5 + 0. Calculate the remainder when 31 is divided by l(c).
15
Suppose 3*q - 8*q + 120 = 0. Suppose -f - 3 + q = 0. Suppose 2*p = f + 41. Calculate the remainder when p is divided by 16.
15
Let c be (-2 + 0 + -1)/(-1). Suppose 3*w - c*h + 0*h - 3 = 0, 2*h = w + 1. Calculate the remainder when 7 is divided by w.
1
Calculate the remainder when 21 is divided by (22/6)/(3/9).
10
Let x(a) = -a**3 - 6*a**2 + 8*a + 8. Let t be x(-7). Let y(n) = 8*n**3. What is the remainder when 31 is divided by y(t)?
7
Suppose 2*l + 2*l - 496 = 0. What is the remainder when l is divided by 14?
12
Suppose -20*s + 15*s = -65. Let r(o) = 7*o**2 + 7*o + 7 - 2*o - 4 - o**3. What is the remainder when r(7) is divided by s?
12
Suppose -3 + 48 = 5*g. What is the remainder when 60 is divided by g?
6
Suppose 960 = -9*r + 24*r. Let i = -21 - -43. What is the remainder when r is divided by i?
20
Suppose 0 = -4*b + 2*b + 20. Calculate the remainder when b is divided by 4.
2
Let r be (-1)/(-2) + 498/4. Suppose 5*q - 45 - r = 0. Calculate the remainder when q is divided by 12.
10
Calculate the remainder when (-6)/(3 - (-356)/(-116)) is divided by 22.
21
Let b be ((-4)/(-10) - 0)*270. Suppose -5*u = -u - b. Calculate the remainder when u is divided by 14.
13
Calculate the remainder when 168/5 + (-22)/(-55) is divided by 12.
10
Suppose 5*k - 5*f + 0 = 20, 23 = 2*k + 3*f. Calculate the remainder when 41 is divided by k.
6
Suppose -3*v = -96 + 15. Calculate the remainder when 105 is divided by v.
24
Let b = -1 - -1. Suppose b = 2*c - 5*c + 3. Suppose -5*x - 3*v - 3 + 17 = 0, -5*x - 4*v = -17. What is the remainder when c is divided by x?
0
Let y(k) = -k**2 - k + 1. Let c be y(1). Suppose 11 = a + 3*m - 42, -127 = -4*a + 5*m. What is the remainder when a is divided by (2 - 15)/(c/1)?
12
Let j = 15 - -15. Calculate the remainder when j is divided by 11.
8
Suppose 5*z - 181 - 114 = 0. What is the remainder when z is divided by 15?
14
Let h = -53 - -86. What is the remainder when h is divided by 12?
9
Let d(c) = -c + 6. Let v be d(6). Suppose v*j = -2*j + 56. Let k(g) = -g**2 + 9*g - 8. Calculate the remainder when j is divided by k(6).
8
Let q be ((-3)/(-4))/((-7)/(-28)). Suppose 0 = q*n - 26 - 1. What is the remainder when 35 is divided by n?
8
Suppose 5*x - 25 = 30. Suppose 0 = -3*q + x + 4. What is the remainder when q is divided by 3?
2
Let s = -9 - -5. What is the remainder when 33 - (16/(-4) - s) is divided by 17?
16
Suppose -5*u + 2*w + 600 = -17, -4*u = 2*w - 490. Calculate the remainder when u is divided by 25.
23
Let y(u) = -u. Calculate the remainder when 53/2 + 1/(-2) is divided by y(-7).
5
Let u(y) = 8*y + 2. Let w be u(-2). Let z = 40 + w. Calculate the remainder when z is divided by 9.
8
Let x(a) = -3*a + 1. Let w(o) be the second derivative of 3*o**5/20 - 5*o**4/12 + 2*o**3/3 - o**2 + o. Calculate the remainder when w(3) is divided by x(-5).
14
Let q(o) = 7*o**2 - o + 7. Let d(h) = 13*h**2 - 2*h + 13. Let m(j) = 3*d(j) - 5*q(j). Suppose -2 - 55 = -3*b. What is the remainder when m(3) is divided by b?
18
Let d(b) = 3*b - 1. Let a be d(3). Let z = -6 + a. Suppose z*n + 119 = 5*l, l = -0*l - n + 21. What is the remainder when l is divided by 12?
11
Let k = 26 - 7. Let u(w) = -w**3 - 5*w**2 - 4*w - 5. What is the remainder when u(-6) is divided by k?
17
Suppose 0 = -5*x + 29 + 56. Suppose 0 = -2*f + 3*f. Suppose -t - 2*t + 99 = f. Calculate the remainder when t is divided by x.
16
Let w(k) = 23 + 6*k - 6*k - k**2. Let r be w(0). Suppose -32 = -4*x + u + 29, 0 = -2*x - u + r. What is the remainder when 41 is divided by x?
13
Suppose 0 = -2*f, 0 = 2*g - 0*f - f - 22. Suppose 0 = -3*d - 52 - 71. Calculate the remainder when (1 + d/(-2))*2 is divided by g.
10
Suppose 2*n - 5*k + 6 + 3 = 0, -44 = -3*n - 4*k. Let f = 6 + n. Calculate the remainder when 39 is divided by f.
11
Suppose 5*a - 6 = -5*q + 114, 5*a = -2*q + 114. What is the remainder when a is divided by 5?
2
Let z(c) = -c**3 - 5*c**2 - 7*c - 6. Calculate the remainder when 23 is divided by z(-4).
5
Calculate the remainder when 17 is divided by 7/21 - 26/(-3).
8
Let n(v) = v**3 + 6*v**2 + v + 7. Let l be n(-6). Suppose 0 = d - 12 + l. Calculate the remainder when d is divided by 6.
5
Let q(u) = -4*u**2 + 13*u - 2. Let s(b) = b**2 - b - 1. Let t(a) = -q(a) - 5*s(a). Calculate the remainder when t(-7) is divided by 8.
6
Let h be -59 - 1/(1/2). Let b = h - -142. Suppose -4*o - 5*a - 24 + b = 0, -3*o - 4*a + 42 = 0. What is the remainder when o is divided by 10?
8
Let y(a) = 5*a**2 + 3*a - 1. Calculate the remainder when y(-3) is divided by 18.
17
Suppose 6*z - 79 - 77 = 0. What is the remainder when z is divided by (-1)/((-4)/14)*4?
12
Let d(y) = 16*y**2 - 1. Let i = 2 - -1. Suppose -2*w - i*m = -4, -6*w = -2*w + 4*m - 4. Calculate the remainder when 28 is divided by d(w).
13
Let d = 17 + -8. Let n = 58 - 55. Calculate the remainder when d is divided by n.
0
Let u(f) = -f**3 - 5*f**2 - 6*f - 6. Calculate the remainder when u(-4) is divided by 2.
0
Let p = -67 + 120. What is the remainder when p is divided by 18?
17
Let z = 34 - 23. Calculate the remainder when z is divided by 8.
3
Let l(x) = x**2 - x - 2. Suppose -5*v + 25 = 0, 5*v - 4*v = 2*t + 15. What is the remainder when l(t) is divided by 10?
8
Suppose -38 - 22 = -5*d. Suppose -3*c + 4*c = 2*x + 31, 0 = 5*c + x - 166. What is the remainder when c is divided by d?
9
Let s(g) = 0 + 1 - 15*g + 4*g. Calculate the remainder when s(-3) is divided by 12.
10
Let k(l) = 68*l**2 - 2*l + 1. Let f = -19 - -36. What is the remainder when k(1) is divided by f?
16
Suppose -5*p - 75 = -3*w, 4*w = p - 4*p + 100. Let g = 48 - 34. Calculate the remainder when w is divided by g.
11
Let f(u) = u. Let q be f(3). Suppose -q*n + 71 + 43 = 0. Calculate the remainder when n is divided by 16/12*15/1.
18
Suppose -9*r + 144 = -63. What is the remainder when r is divided by 4?
3
Suppose -3*n + g + g + 140 = 0, -2*n + 115 = 3*g. Let k = -21 + n. Suppose x - k - 12 = 0. What is the remainder when x is divided by 14?
13
Let g be -4 + 12 - (-6)/(-2). Let j = g - -2. What is the remainder when 25 is divided by j?
4
Let y be 5 + (-3)/(-6)*2. Let j be 2*(3/2 - -1). Let v = y + j. Calculate the remainder when 31 is divided by v.
9
Let l = 16 + -9. Suppose y + 5*t = 6*y - 65, 12 = 4*y + 4*t. Calculate the remainder when 2 + (-4)/(y/(-34)) is divided by l.
5
Suppose -138 = -5*y - 5*d - 43, -y - 5*d + 39 = 0. What is the remainder when 66 is divided by y?
10
Suppose -2*n + 17 = -13. What is the remainder when 56 is divided by n?
11
Suppose 66 = 4*q + p, -2*q + 87 = 3*q - p. What is the remainder when q is divided by 7?
3
Suppose 3*j = -j + 56. Suppose -3*z - 192 = 4*x - x, 0 = -4*z + 4. Let w = x - -105. What is the remainder when w is divided by j?
12
Suppose -3*k - 3 = -