the remainder when 99 + -4 + 4 + -3 is divided by 14?
12
Let i(v) = v**2 + v - 8. Suppose l - 2*l = 6. Calculate the remainder when i(l) is divided by 6.
4
Let b be (-1)/((-1)/((-8)/(-2))). Suppose -z + 2*c + b = -6, 2*c + 22 = 2*z. What is the remainder when z is divided by (-9)/(-6)*14/3?
5
Let c = 23 + -16. Calculate the remainder when 24 is divided by c.
3
Let k = -10 + 23. Calculate the remainder when 23 is divided by k.
10
Suppose -5 = g - 4, -77 = -4*d - 3*g. Suppose -4*z = 4*u - 4, 0 = 7*z - 2*z - 3*u - 21. Let k = d - z. What is the remainder when k is divided by 9?
8
Suppose 5*h - 15 = -k, -5*k + 5*h + 75 = -0*k. Calculate the remainder when 18 is divided by k.
3
Calculate the remainder when 62 is divided by (-22)/(-55) + (-103)/(-5).
20
Calculate the remainder when 83 is divided by (2 + -7 + 7)*(-58)/(-4).
25
Let i = 1 + 0. Suppose -4*l - i = 5*s, -2*s - 3*l = 8 - 2. What is the remainder when s is divided by (-6)/(-4)*8/6?
1
Suppose -3*w = 3*n - 96, 4*w + 142 = 4*n + w. Let l = n + -3. What is the remainder when l is divided by 11?
9
Suppose 5*b = -5*d + 40, -3*b + 15 = -2*d + 46. Let o = 7 - 13. Let u = o + 12. What is the remainder when d is divided by u?
5
Suppose -2*l + 66 = 10. What is the remainder when 29 is divided by 9/(18/l) + -4?
9
Let o(x) = x**2 + 5*x + 11. Let k = -20 + 12. What is the remainder when o(k) is divided by 19?
16
Suppose -10*p + 50 = -0*p. Calculate the remainder when 21 is divided by p.
1
Let w(o) = 3*o**2 + o - 1. Calculate the remainder when w(5) is divided by 20.
19
Let p be 1308/28 - 2/(-7). Suppose 4*n + r - p = 0, 3*n - r = 31 + 13. Calculate the remainder when 36 is divided by n.
10
Suppose -2*q = -1 - 13. Suppose -5*f = -w + q, -8*f = 2*w - 4*f. Suppose -n = 2*b - 0*n - 9, -b + n = -3. Calculate the remainder when b is divided by w.
0
Let n = 2 - -2. Suppose y + y - 12 = -4*g, -n*y - g = -31. Let k = y - 6. What is the remainder when 3 is divided by k?
1
Suppose -2*g - 7 = -3*r, 4*g + 3 + 1 = 4*r. Suppose -2*t + 60 = -2*k, t + 127 = r*t + 3*k. What is the remainder when t is divided by 8?
7
What is the remainder when 83 is divided by (-116)/(-8) + (-2)/4?
13
Suppose 8 = -3*k + 7*k. Suppose 3*d = -k*j + 4*j + 9, -4*d + 3*j = -13. Calculate the remainder when 2 is divided by d.
0
Let h(u) = -u**2 - 20*u + 2. What is the remainder when 3 is divided by h(-20)?
1
Let o(s) = s**3 - 6*s**2 + 2*s - 9. Suppose 0 = n - 3*n + 12. Let x be o(n). Suppose 17 + 1 = x*f. Calculate the remainder when 11 is divided by f.
5
Let n = 13 - 25. Suppose 36 = -t + 3*t. Let j = t + n. Calculate the remainder when 11 is divided by j.
5
Let g(m) = m**3 - 6*m**2 + 1. Let c be g(6). Suppose r = -a + 59, c = -r + 3*a + 52. Let b = r - 25. What is the remainder when b is divided by 17?
15
Let s be (0 - (-9)/(-6))*-2. Suppose 9 - 35 = -4*m + 2*z, -m - 5*z + 12 = 0. What is the remainder when (1*16 - s)*1 is divided by m?
6
Let w be (24/30)/(2/5). Suppose -w*f = -4*f + 118. What is the remainder when f is divided by 20?
19
Let m be (-864)/(-9) + 2/(-2). Let f = m + -63. Calculate the remainder when f is divided by 11.
10
Suppose -12*l + 3*l = -90. What is the remainder when l is divided by 2?
0
Suppose 2*b = -2*b + 28. Let r(i) = i**2 - 10*i + 11. Let a be r(10). Suppose 4*j - a = -c, 3*j = c - 2*j - 11. Calculate the remainder when c is divided by b.
4
Let g = 2 - 0. Suppose -10 = o - 4*c, -5*o - 2*c = -3*c - 45. Calculate the remainder when 26 is divided by (o - (g + 0)) + -1.
5
Let p(m) = -14*m - 10. Let b be p(-3). Suppose -2*g = -4*g + b. Calculate the remainder when 47 is divided by g.
15
Suppose 15*c - 8*c = 161. Calculate the remainder when c is divided by 9.
5
Let v(l) = -l - 8. Let x(z) = 1. Let q(f) = 3*v(f) + 24*x(f). Let k be q(1). What is the remainder when (1/k)/(1/(-93)) is divided by 16?
15
Let q(m) = 14*m**2 + m - 1. Let b(k) = 27*k**2 + 2*k - 2. Let v(l) = 4*b(l) - 7*q(l). Calculate the remainder when v(1) is divided by 4.
2
Suppose 3*k - 5*g = 1, 9*k + 4*g - 14 = 4*k. Suppose 2*z = -u + 14, k*z - u - 42 = -3*z. What is the remainder when 38 is divided by z?
6
Let f(p) = p**3 + 6*p**2 + 6*p. Suppose -7 = -2*c + 1. Let m be (c + -2)/(1/(-2)). What is the remainder when f(m) is divided by 3?
2
Let t = 36 - 26. Calculate the remainder when (16/t)/(4/50) is divided by 7.
6
Let j(v) = -v**2 + 8*v - 6. Let r be j(5). Let g(h) = h**3 - 8*h**2 - 8*h - 8. Calculate the remainder when 2 is divided by g(r).
0
Let g(p) = -p**3 - 8*p**2 - 9*p - 7. Calculate the remainder when g(-7) is divided by 2.
1
What is the remainder when 44 is divided by (10/(-4))/((-14)/84)?
14
Suppose -s - n = -16, -3*n = -4*s + n + 72. Let t(x) = x**3 - x + 2 - 6 + 2 + 3*x**2. What is the remainder when t(3) is divided by s?
15
Let t be (-68)/(-18) - (-8)/36. Suppose t*k = -14 + 54. Calculate the remainder when ((-1)/(-2))/((-12)/(-456)) is divided by k.
9
Suppose 0 = 4*a - 29 - 43. Calculate the remainder when a is divided by 7.
4
Suppose 42 = 4*f + 14. Suppose -5 = -2*a + a. Suppose -a*h + h + 52 = 0. Calculate the remainder when h is divided by f.
6
Let v = 89 + -42. Let s = 71 - 35. Let j = 52 - s. What is the remainder when v is divided by j?
15
Let d = 28 + -13. Suppose 0 = q + 5*h - 59, 2*h + 295 = 8*q - 3*q. What is the remainder when q is divided by d?
14
Let h = 18 - 4. What is the remainder when h is divided by 5?
4
Let c(x) be the third derivative of x**5/60 - 7*x**4/24 + 7*x**3/6 + 2*x**2. Calculate the remainder when c(8) is divided by 1/((2/2)/8).
7
Let w(m) = 29*m. Suppose 2*z = -4*x + 46, z - 35 = -0*z - 5*x. Calculate the remainder when w(1) is divided by z.
14
Let s(p) = p + 1. Let w(z) = 2*z + 11. Let l(v) = 6*s(v) - 2*w(v). Let r = 6 + 8. What is the remainder when r is divided by l(12)?
6
Let z be ((-6)/(-2 - -1))/1. Let w = -2 + z. Suppose -3*g + 2*m = -153, w*g = -0*m + 3*m + 205. Calculate the remainder when g is divided by 17.
15
Let j = 131 + 15. Suppose -3*y - m = -j, 3*y + 7*m - 3*m - 161 = 0. What is the remainder when y is divided by 25?
22
Let u(d) = -19*d. Let x be u(-2). Let t = x + 13. Suppose -5*v = -0*v - n - t, -5*n - 5 = 0. Calculate the remainder when 29 is divided by v.
9
Let q be 3/2*(-8)/(-6). Let f(z) = -z + 4. What is the remainder when 7 is divided by f(q)?
1
Let y(q) = -q**2 + q + 15. Let b be y(-8). Let a(i) = i**3 + 5*i**2 - 10*i - 5. Let z be a(-7). Let n = z - b. Calculate the remainder when 71 is divided by n.
23
Let o = 101 + -60. What is the remainder when o is divided by 11?
8
Suppose 3 = 3*a, -g + 0*g - 5*a = -10. Suppose 0 = -0*w + w - 12. Suppose -5*h + 28 + w = 0. What is the remainder when h is divided by g?
3
Let j = -37 + 67. Calculate the remainder when 118 is divided by j.
28
Suppose 15 + 10 = 5*j, 2*t + 18 = -2*j. What is the remainder when (-300)/t + (-18)/42 is divided by 6?
3
Let v(f) = f**2 + 6*f - 21. What is the remainder when 54 is divided by v(4)?
16
Calculate the remainder when 318/14 - (-2)/7 is divided by (4 - 196/(-21)) + 1/(-3).
10
Let d = 338 - 197. Suppose d - 15 = 3*b. What is the remainder when b is divided by 15?
12
Let p(i) = 7*i**2 + 46*i + 12. Suppose -4*d = -12 - 60. Calculate the remainder when p(-7) is divided by d.
15
Suppose -234 = -3*r - 3*t, -2*r = 2*r + 2*t - 318. Calculate the remainder when r is divided by 21.
18
Suppose 4*u + 4 + 4 = 0. Calculate the remainder when 22 is divided by (-115)/(-10) - u/4.
10
Suppose -2*y + 2*n = 2*y - 88, -2*y + 68 = 5*n. Let a = y - 1. Calculate the remainder when a is divided by 2 + (-1 - -12) - 1.
11
Let v(q) = q**2 - 2*q - 1. Let k = -9 - -6. Calculate the remainder when (0/(-2) - 1) + 27 is divided by v(k).
12
Suppose -3*o = -4*t - 43, -3 + 55 = 4*o - 4*t. Calculate the remainder when o is divided by 5.
4
Suppose 0 = -4*f - 2*m + 238, 0*f + 3*m = -f + 57. Calculate the remainder when f is divided by 16.
12
Let y = 19 + -11. Let o be ((-14)/4)/((-4)/8). Suppose i = 29 - o. Calculate the remainder when i is divided by y.
6
Let g(f) = -2*f**2 + 20*f - 12. What is the remainder when g(8) is divided by 11?
9
Suppose 0 = 2*z + 3*w - 61, 0 = -5*z - 6*w + 2*w + 156. Calculate the remainder when 62 is divided by z.
30
Let z(c) = 21*c + 21. What is the remainder when z(6) is divided by 15?
12
Let q be (0 - 1) + (-4 - -7). S