p - w. What is the remainder when n is divided by 7?
6
Let n = -3521 - -5111. Let w be 2/(-3) + n/9. Suppose -2*k + 52 = -o + 4*o, -5*k = -4*o - w. Calculate the remainder when k is divided by 11.
10
Suppose 3*a = 2*r + 3*r - 175, 0 = -3*r + 4*a + 105. What is the remainder when 103 is divided by r?
33
What is the remainder when (-2)/((-1)/(-1 + 7)) is divided by 3?
0
Let h(j) = j**2 + 12*j + 10. Suppose -2*n + 10 = -7*n. What is the remainder when h(-13) is divided by (-4)/((1/n)/1)?
7
Suppose -u + 4*m + 3 = 0, 5*u - 3*m + 9 - 58 = 0. Calculate the remainder when 31 is divided by u.
9
Let q(o) be the third derivative of o**5/60 + o**4/12 + 5*o**3/6 - 2*o**2. Calculate the remainder when q(-4) is divided by 8.
5
Let z(b) = 2*b**2 - b - 3. Let r be z(-3). Let j = r - 15. Calculate the remainder when j is divided by 3.
0
Let m be 1/(-2)*(-2 - -2). Let l(b) = b + 8. Let k be l(m). Suppose 0*y - k = -y. Calculate the remainder when 22 is divided by y.
6
Let c(y) = y**3 - 4*y**2 + y - 1. Let s(f) = f**3 - 2*f**2 - 6*f + 4. Let d be s(4). Suppose -q + 4*q = d. Calculate the remainder when 4 is divided by c(q).
1
What is the remainder when 497/3 + 12/36 + 3 is divided by 43?
40
Suppose 0 = -3*j + 12 - 0. Calculate the remainder when 9 is divided by j.
1
Calculate the remainder when 16 + 3 + 2 + 4 is divided by 14.
11
Let p(n) = -2*n - 1. Suppose 0*j - j - 9 = 0. Let w be p(j). Suppose -73 + w = -2*o. Calculate the remainder when o is divided by 10.
8
Let q(j) = j**2 - 2*j - 14. Let s(x) = -x**2 + x + 2. Let n be s(-2). Calculate the remainder when (-1)/(-4) + (-111)/n is divided by q(6).
8
Suppose -c + 0*c + 3*p = 44, 3*c + 4*p + 67 = 0. Let x = 54 + c. Calculate the remainder when x is divided by 14.
11
Calculate the remainder when 114 is divided by (-184)/16*2/(-1).
22
Let u = -10 - -56. Let w be ((-2)/2 - 0)*0. Let b(g) = -g + 16. What is the remainder when u is divided by b(w)?
14
Let y(k) = -k**2 + 8*k + 12. Let h be y(9). Let w(z) = -4*z - 2*z**3 + 3*z + z**h - 2*z**2 + 31 + 3*z**2. What is the remainder when w(0) is divided by 16?
15
Let n = -27 + 47. Calculate the remainder when n is divided by 5.
0
Suppose -36 = -o + 3*u, -4*o + 62 = -2*o + 4*u. Let l(c) = c**3 - 9*c**2 + 9*c + 4. What is the remainder when o is divided by l(8)?
9
Let h(j) = -j**3 - 14*j**2 - 4*j + 18. Calculate the remainder when h(-14) is divided by 15.
14
Suppose 6*b = 5*b - 879. Calculate the remainder when b/(-15) + (-2)/(-5) is divided by 20.
19
Let a = 129 + -68. Let b = 154 - 138. What is the remainder when a is divided by b?
13
Suppose -2*v + 2 + 2 = 0. What is the remainder when ((-15)/(-2))/((-6)/(-24)) is divided by v + (-21)/6*-4?
14
Let n(z) = z**2 + 4*z + 25. Calculate the remainder when 88 is divided by n(-5).
28
Let h(a) = -a**2 - 10*a + 14. Let b be h(-11). Suppose -26 = -2*n + 4*c, -4*c = -b*c. What is the remainder when 24 is divided by n?
11
Let r = 83 - 48. What is the remainder when r is divided by 18?
17
Let i(j) = -20*j. What is the remainder when 77 is divided by i(-1)?
17
What is the remainder when 7*-2*(1 + (-33)/6) is divided by 33?
30
Let n = 94 + -46. Let t = -16 + 33. Let l = n - t. What is the remainder when l is divided by 16?
15
Let b(n) = n**3 - 13*n**2 + n + 10. What is the remainder when b(13) is divided by 12?
11
Suppose -147 + 27 = 3*m. Let i = 86 + m. Let t = i + -33. What is the remainder when 37 is divided by t?
11
Let w(g) = g**2 - 7*g - 3. Let l be w(10). Suppose 4*j + l = 7*j. Calculate the remainder when 26 is divided by j.
8
Let f = 44 + -19. What is the remainder when f is divided by 13?
12
Suppose -q = -3, m - 3*q - q = 12. Calculate the remainder when 94 is divided by m.
22
Suppose -35 = -60*w + 55*w. What is the remainder when 68 is divided by w?
5
Suppose -5*s + 106 = y, -s - 2*y = -0*s - 14. Suppose u = -u + 130. Calculate the remainder when u is divided by s.
21
Let c = 16 + 110. Suppose 0 = 3*d - c + 3. Calculate the remainder when d is divided by 14.
13
Let p(v) = v**3 + 3*v**2 - 5*v - 3. Suppose -5*u + 3*l = -32 + 4, -9 = -2*u - l. What is the remainder when p(-3) is divided by u?
2
Let y = -11 - -20. What is the remainder when 2/(-3)*(-51)/2 is divided by y?
8
Let v(k) = 2*k**2 - 4*k - 1. Suppose 3*b = -9 - 102. Let n = -23 - b. Calculate the remainder when n is divided by v(3).
4
Suppose -v + 3*v - 34 = 0. Calculate the remainder when 66 is divided by v.
15
Let y(s) = 2*s - 6. Let r(l) = l**2 - l - 2. What is the remainder when r(-5) is divided by y(8)?
8
Suppose -3*k = -5*k + 158. Let c = -39 + k. Calculate the remainder when c is divided by 14.
12
What is the remainder when -1 + (-4 - -5 - -33) is divided by 5?
3
Let i = -16 + 22. Let y = 6 - i. Suppose -u - 2*d = -7, -d - 21 = -y*u - 3*u. Calculate the remainder when u is divided by 4.
3
Let l = -19 + 46. Suppose c - 3 = 0, -3*k + 138 = 2*k + c. Let s = -17 + k. Calculate the remainder when l is divided by s.
7
Suppose -143 = -9*d - 26. What is the remainder when 50 is divided by d?
11
Suppose -5*q - 4*p + 113 = -0*q, 2 = p. Suppose 33 = 36*i - 33*i. Calculate the remainder when q is divided by i.
10
Let h(y) = 5*y**3 + y**2 - 4*y + 3. Calculate the remainder when h(2) is divided by 10.
9
Suppose c - 5*o = 4, 5*c - 5*o - 76 = c. What is the remainder when 95 is divided by c?
23
Let h be (-88)/(-12) - (-1)/(-3). Suppose -20 = 3*r - h*r. Calculate the remainder when 14 is divided by r.
4
Let q(x) = -x**2 - 16*x - 9. What is the remainder when q(-10) is divided by 18?
15
Suppose z = -0*m + m + 10, -z - 5*m = -4. What is the remainder when 15 is divided by z?
6
Suppose 99 = 12*j - 9*j. Calculate the remainder when 64 is divided by j.
31
Let n be 2/4*42/1. What is the remainder when (-200)/(-14) + (-6)/n is divided by 5?
4
Let n be 43*(3 - 1/(-1)). Suppose -v + 0*d + 4*d + 23 = 0, -5*v + n = -d. What is the remainder when v is divided by 12?
11
Let t = -20 - -35. Suppose 8 = b + b. Calculate the remainder when t is divided by b.
3
Let o(n) = 2*n - 22. Let r = 86 - 40. What is the remainder when r is divided by o(17)?
10
Suppose 3*g - 10 = 2*t - 30, -2*g = 0. Calculate the remainder when 27 is divided by t.
7
Suppose 0 = d + 6*d - 147. Let a(u) = -u**3 - 5*u**2 - u - 3. What is the remainder when a(-6) is divided by d?
18
Let c(r) = -r**2 + 6*r - 5. Let v be c(5). Suppose y = -v*y + 12. Let z(w) = -w**3 + 10*w**2 - 6*w - 4. What is the remainder when z(9) is divided by y?
11
Let p(r) = r**2 + 5*r + 7. Let v = -2 + 18. Suppose 5*x + 29 = -0*f - 4*f, -4*x + 4*f - v = 0. What is the remainder when 13 is divided by p(x)?
6
Let u(c) = 2*c**2 - 2*c - 1. Let x = 97 - 30. What is the remainder when x is divided by u(-3)?
21
Suppose 0 = -12*j + 8*j. Suppose j*g + 3*n - 127 = -2*g, 0 = n - 1. What is the remainder when g is divided by 13?
10
Suppose -v - 2*v = -144. Suppose -v = -4*s + 3*s. What is the remainder when s is divided by 13?
9
Suppose 0 = -y + 2*x + 55, 0 = -8*y + 4*y - 3*x + 165. What is the remainder when y is divided by 16?
13
Let x(n) = -4*n**2. Let t be x(3). Suppose 40 = -3*j - 17. Let s = j - t. Calculate the remainder when 32 is divided by s.
15
Suppose -5*p - 3*b - 4 = 0, -3*p + 2*b = -4*p - 5. Suppose w - 3*u - 4 = p, -3*w = u - 15. Suppose -18 - w = -m. Calculate the remainder when m is divided by 8.
7
Let f = 20 - 1. What is the remainder when 35 is divided by f?
16
Let h(q) = 4*q**2 + q + 4. Let k(t) = -5*t**2 - 2*t - 5. Let i(d) = 4*h(d) + 3*k(d). Calculate the remainder when 26 is divided by i(-2).
8
Suppose 3*h - 4*h - 12 = 0. Let f = 5 - h. What is the remainder when f is divided by (9/(-4))/(2/(-8))?
8
Suppose 2*a = 2*r - 4, -3*r + 10 = 2*r. Suppose a*g + 34 = 5*g + 3*m, -5*m = 5*g - 40. Calculate the remainder when 8 is divided by g.
3
Calculate the remainder when 33 is divided by (-1 + (-5)/(-2))*12.
15
Let o(h) = -5*h + 5. Let u(x) = -x + 1. Let c(m) = o(m) - 4*u(m). Suppose 25 = v - 2*r - 0*r, 5*r = 0. Calculate the remainder when v is divided by c(-8).
7
Suppose 5*a = 2*w - 77, -3*a = -2*w - 6*a + 37. What is the remainder when -1 - (-75 - 4) - 1 is divided by w?
25
Let m(p) = p**3 - 12*p**2 + 11*p + 6. Calculate the remainder when 20 is divided by m(11).
2
Let p be (8/(-12))/((-2)/(-9)). Let n be (8 + -2)*p/(-2). What is the remainder whe