?
4
Let q = -239 - -409. Suppose -6*f + f = -q. What is the remainder when f is divided by 7?
6
Let r be 6/(-21) + 30/7. What is the remainder when 36/((-1 - -5)/r) is divided by 19?
17
Let s(t) = -20*t - 2. Let g be s(-10). Let w = -141 + g. Calculate the remainder when w is divided by 15.
12
Let s be (30/(-12))/((-1)/6). What is the remainder when 26 is divided by s - -1 - (2 + 0)?
12
Let n be 36/((8/3)/(-4)). Let s = -33 - n. Calculate the remainder when s is divided by 11.
10
Let q = 111 + -25. Calculate the remainder when q is divided by 22.
20
Suppose 3*w - 4*n - 56 = 3, 4*w = -3*n + 112. What is the remainder when 47 is divided by w?
22
Let r(h) = 4*h - 23. What is the remainder when 23 is divided by r(8)?
5
Suppose -t - 7*v = -2*v - 59, 5*t - 187 = 2*v. Calculate the remainder when t is divided by 23 - (112/49 + 4/(-14)).
18
Suppose 0*n = 3*o - n - 87, 2*n + 118 = 4*o. Let j = o - 17. What is the remainder when 42 is divided by j?
9
Let h(g) = 22*g + 3. Let z be h(-2). Let i = z + 66. Calculate the remainder when 99 is divided by i.
24
Let n be (8 - 3)*(-2 - -3). Let p = n + -37. Let w = p - -46. What is the remainder when 40 is divided by w?
12
Let a be ((-5)/15)/(1/(-12)). Suppose -a = -u + 2. What is the remainder when 17 is divided by u?
5
Let v(o) = -2*o + 9. Calculate the remainder when (-2)/(-5) + 273/5 is divided by v(-5).
17
Let i = 32 - 16. Suppose -2*n - 3 + 21 = 0. What is the remainder when i is divided by n?
7
Let g(b) = -b**3 - 7*b**2 - 2*b + 1. What is the remainder when g(-7) is divided by (-7 - 2)*4/(-6)?
3
Suppose -5*k + 370 = -5*h, -2*k + h + 136 = 2*h. What is the remainder when k is divided by 8?
6
Suppose 5*q + 2*x - 64 = 0, -3*q = -x - 14 - 31. Suppose q = -2*y - 0. What is the remainder when 21 is divided by 7 + y - (-12 + 1)?
10
Suppose -q + 27 = 1. Calculate the remainder when 77 is divided by q.
25
Suppose -4*j - 40 = j. Suppose y - 2*x = -5*x - 20, 4*y = 3*x - 5. Let u = y - j. Calculate the remainder when u is divided by 2.
1
Let c(r) = -70*r + 1. Let j = 322 - 286. Calculate the remainder when c(-2) is divided by j.
33
Suppose 6*m - 15 = m. Calculate the remainder when m is divided by (-1 - 8/(-2))/(6/4).
1
Suppose 0 = 2*i - h - 29, 0 = -4*h + h - 3. Let j(w) = 8*w**2 - 3*w + 1. What is the remainder when j(2) is divided by i?
13
Suppose -2*a = -4*a + 24. Suppose 0*w = -4*w + 5*u + 147, 5*w - 174 = 3*u. What is the remainder when w is divided by a?
9
Suppose -3*w + 23 = 4*l, -3*l + 39 = 5*w + 8. What is the remainder when w is divided by 1?
0
Suppose 3*l + 3*c = 60, 2*l + 6 = c + 43. What is the remainder when l is divided by 6?
1
Let f(p) = -p - 4. Suppose 0 = 5*u + 6 + 29. Calculate the remainder when 8 is divided by f(u).
2
Suppose -5*x - 30 = d, -4*x - d = -3*d + 24. Let h(f) = -2*f - 7. Let y be h(x). Let m = y - -63. Calculate the remainder when m is divided by 23.
22
Suppose -5*a + 3*k + 54 = 0, -10 + 58 = 4*a - 4*k. Calculate the remainder when 25 is divided by a.
7
Suppose 0 = -3*w + 5*u + 50, 3*u + 48 = -w + 4*w. What is the remainder when 72 is divided by w?
12
Let z(k) = -k**3 + 7*k**2 + 7. Let m be z(5). Let f = m - 23. What is the remainder when f is divided by 12?
10
Let t = 65 + -14. What is the remainder when 149 is divided by t?
47
Let v(w) = 4*w**2 - 3*w + 1. Suppose -2*h - 7*j - 24 = -3*j, -2*h = -j + 4. Let g(p) = -3*p - 2. What is the remainder when v(3) is divided by g(h)?
8
Let v(w) = w + 17. Suppose 0*b - 17 = -4*c + 5*b, -4*b + 8 = 4*c. What is the remainder when v(-11) is divided by c?
0
Let n(v) = v + 69. Calculate the remainder when n(0) is divided by 14.
13
Let n(c) = 5*c - 53. Calculate the remainder when 93 is divided by n(17).
29
Let n(w) = -20*w - 117. Calculate the remainder when n(-7) is divided by 3*-3*(-8)/6.
11
Let r(l) be the second derivative of l**5/20 + l**4/3 - l**3/3 - 5*l**2/2 - l. Suppose -14*c + 10*c - 16 = 0. Calculate the remainder when 5 is divided by r(c).
2
Suppose 4*o - 5*q + 5 = 97, -q + 92 = 4*o. What is the remainder when 90 is divided by o?
21
Suppose 3*r = 3, 3*a - 3*r + 6 + 3 = 0. Calculate the remainder when ((-8)/(-28))/(a/(-14)) is divided by 1.
0
Let b(f) = 3*f - 7. What is the remainder when 7 is divided by b(3)?
1
Let p(q) = 23*q**2 - 1. Let y be (-1 + 0)/(1/(-4)). Suppose -x + y*o - 3*o + 16 = 0, 5*o - 4 = -2*x. Calculate the remainder when p(-1) is divided by x.
10
Let l = 28 + -3. Suppose n - 25 = 2*h, -n + l = -0*n - 3*h. What is the remainder when 47 is divided by n?
22
Suppose 54 = 2*x + r, -2*r - 29 = -x + 8. Let k(b) = b**3 - b**2 + 15. Calculate the remainder when x is divided by k(0).
14
Let s = 15 - 7. Let c = s + 3. Calculate the remainder when 43 is divided by c.
10
Suppose -5*p + 80 = 5*h, p + 0*h = 5*h + 10. Let y = p + -11. Calculate the remainder when 7 is divided by y.
3
What is the remainder when (32/24)/(6/153) is divided by 440/25 - (-2)/5?
16
Let i(x) be the second derivative of -x**5/20 - 3*x**4/4 - 3*x**3/2 + 7*x**2/2 - x. Calculate the remainder when 27 is divided by i(-8).
12
Let p = 80 - 67. What is the remainder when p is divided by 6?
1
Let g(o) = -o**2 - 9*o - 10. Let t = -4 - -7. Suppose m - 5*u = -17, 3*u = -t*m - 2 - 13. Calculate the remainder when 7 is divided by g(m).
3
Let w(f) = 54*f**2 + 2*f + 1. What is the remainder when w(-1) is divided by 19?
15
Let g(t) = 16*t - 1. Let q be g(-4). Let s = 110 + q. Calculate the remainder when s is divided by 16.
13
Suppose 4*c - 18 = -2*c. Calculate the remainder when 5 is divided by c.
2
Suppose 0 = b + r - 0 - 7, -3*r = -b - 13. What is the remainder when 15 is divided by 5/b*(-84)/(-35)?
3
Let k(m) = -2*m**2 - m + 9. Let y be k(0). Let i = y + 1. Let u(p) = p**2 + 6*p + 6. Calculate the remainder when i is divided by u(-6).
4
Suppose 0*h + 5*h - 85 = 0. What is the remainder when 65 is divided by h?
14
Suppose 0*i = i. Suppose i = -q + 17. Calculate the remainder when 31 is divided by q.
14
Let x be (-24)/(-15) - 9/15. What is the remainder when (-3 - -28)*x + -3 is divided by 12?
10
Let o(d) = 2*d**2 - 2*d - 4. Let z(m) = -22*m. Let i be z(-1). Suppose -i - 48 = -5*s + 2*h, -4*s + h + 56 = 0. What is the remainder when s is divided by o(3)?
6
Let c(h) = 11*h - 12. Let i = -119 + 200. What is the remainder when i is divided by c(3)?
18
Suppose x - 3*h + 4 = 19, -5*x = -3*h - 15. Let b = 5 - x. What is the remainder when b is divided by (-7)/(14/4) + 4?
1
Let a = 53 + -33. What is the remainder when a is divided by 6?
2
Let c(f) = f**3 - 5*f**2 + 4*f + 4. Let q be c(4). Suppose -j = -q, -4*i + 2*j - 12 = 3*j. What is the remainder when 26 is divided by (-54)/i - 2/(-4)?
12
Suppose -4*y = -5*g + 28, 0 = -4*y - 6 - 2. Suppose -g*q = -3*q + 50. Let v = 90 + q. What is the remainder when v is divided by 14?
12
What is the remainder when 37 is divided by (-3)/((-3)/13) + (-39)/13?
7
Let z(h) = h**3 - 10*h**2 - 2*h + 10. Let a be z(9). Let l = 135 + a. Calculate the remainder when l is divided by 16.
14
Suppose 3*v - 16 = -2*c, 5*v = -2*c + 18 + 6. Suppose -3*l = 5 + v. What is the remainder when (-22)/3*-3 + l is divided by 7?
5
What is the remainder when 6 is divided by 4 - ((-20)/(-5) - 4)?
2
Suppose -6*x + 12*x = 348. What is the remainder when x is divided by 15?
13
Suppose 3*v = 5*v + 2. Suppose -18*x + 12 = -14*x. Let t = v + x. Calculate the remainder when 4 is divided by t.
0
Let g = 13 + 10. Calculate the remainder when g is divided by 6.
5
Let h = 7 + 1. What is the remainder when h is divided by 3?
2
Suppose -g = -0*g - 3. Suppose -2*i + 5*i = 150. Suppose 3*h + 2*h - 3*l = 83, g*h = 2*l + i. Calculate the remainder when 30 is divided by h.
14
Suppose 4*j = 2*u + 84, 3*j + 3*u - 65 = 4*u. Let f(r) = 5 + 2*r**2 - 4 - r - r + 5*r**3. What is the remainder when f(2) is divided by j?
22
Let t(i) = -4. Let o(n) = n**2. Let j(p) = o(p) - t(p). What is the remainder when j(-3) is divided by 7?
6
Suppose -4*f + 4*a = -172, 0 = 5*f + 3*a - 6 - 169. Let h be 2/(-3) - f/(-3). Suppose -5*x - h = -6*x. What is the remainder when x is divided by 7?
5
Suppose v + 2*v - 45 = 0. Suppose 42 = 3*d - v. What is the remainder when d is divided by 5?
4
Let r(b) = 15*b - 2. Calculate the remainder when 49 is divided by r(1).
10
Suppose a - 6*a + 10 = 0. Suppose q - a = -q. 