w + w. What is the remainder when 35 is divided by -2 - ((w - 12) + -3)?
11
Let y = -8 + 17. Suppose -p = -3, 0 = -3*h - 4*p + 33 + y. What is the remainder when h is divided by 4?
2
Let w = 42 + -40. Calculate the remainder when 3 is divided by w.
1
Suppose 0 = 2*s + y + 13, 13 = 3*s - 6*y + y. Let l = s - -6. What is the remainder when l is divided by (-4)/(-6) - ((-16)/(-6))/(-8)?
0
Let q(u) = u**3 - u + 3. Suppose -3*v = -5*r - 0 + 4, -v + 5*r - 8 = 0. Suppose -8 + 2 = -v*y. Calculate the remainder when 79 is divided by q(y).
25
Suppose 5*x - 43 = -13. What is the remainder when -3 + x + 2 + -2 is divided by 1?
0
Let s(y) = -217*y + 1. Let c be s(-1). Suppose -3*h - 612 = -3*x, -2*h + 399 = 3*x - c. Suppose -p - x = -6*p. What is the remainder when p is divided by 14?
13
Let s = 6 - 3. Suppose 2*i - 3*p = 37, -s*i = 2*p + p - 63. Calculate the remainder when 58 is divided by i.
18
Suppose 0 = 2*v - 0*v - 6. Let g(p) be the first derivative of p**3/3 - p**2 + 2*p + 3. What is the remainder when 13 is divided by g(v)?
3
Suppose -13 + 1 = -3*i. Let c = 9 - i. Calculate the remainder when c is divided by 2.
1
Let k(g) = -g**2 + 3*g + 2. Let n be k(-4). Let a = -7 - n. Calculate the remainder when a is divided by 5.
4
Let n = 67 - 59. Calculate the remainder when 19 is divided by n.
3
Let r = -471 - -757. What is the remainder when r is divided by 41?
40
Suppose -4*o + 8*o = 40. Let r(w) = w + 7. Calculate the remainder when o is divided by r(-4).
1
Let t = 18 - 13. What is the remainder when 19 is divided by t?
4
Suppose 53 = 4*m + 3*k - 80, 5 = -5*k. Let q = -22 + m. Calculate the remainder when 23 is divided by q.
11
Let d(n) = -2*n - 7. Let h be d(-7). Suppose h*c - 3*c - 64 = 0. What is the remainder when c is divided by (-1 + 2)*(5 - -1)?
4
Suppose -2*y = -4*c - 14, 0*y - c - 4 = -y. Suppose g - 1 = y. Suppose -3*u = 4*i - 24 + 10, -g*i = -u - 12. Calculate the remainder when i is divided by 2.
1
Let f(w) = -w**3 - 5*w**2 - 3*w + 5. Let r = -1 - -8. What is the remainder when f(-5) is divided by r?
6
Suppose -3*j + 11 - 2 = 0, 3*n = 5*j + 612. Let m = n + -106. What is the remainder when m is divided by 26?
25
Let a(h) = 7*h + 1. What is the remainder when a(7) is divided by 26?
24
Suppose g = -2*z - 20, -2*z - 3*z + 28 = -4*g. Let s = 15 + -13. Calculate the remainder when 2 is divided by 1/((-3)/g*s).
0
Suppose -c - 45 = -3*j, 5*j - 5*c - 33 - 52 = 0. What is the remainder when 81 is divided by j?
11
Suppose 4*a = 2*a + 22. Calculate the remainder when 5/1*33/(-44)*-8 is divided by a.
8
Let m(v) = -v**3 - 11*v**2 + 11*v - 3. Calculate the remainder when m(-12) is divided by 1/(1/(-4))*-1.
1
Suppose 3*r = 14 + 10. What is the remainder when 13 is divided by r?
5
Suppose i - 6*i - 5*c + 80 = 0, -3*c - 42 = -2*i. Calculate the remainder when 31 is divided by i.
13
Let q(n) = -2*n + 5. Let y be q(4). Suppose -27 = x - 4*x. What is the remainder when 29 - -1*(y - 0) is divided by x?
8
Let b = 55 - 39. Let h = b + 4. Calculate the remainder when h is divided by 11.
9
Let g = 11 + -19. Calculate the remainder when 5 is divided by (-4)/g + (-3)/(-2).
1
Suppose s + 16 = 2*r - 37, 5*r - 2*s - 132 = 0. Let t = -16 + 10. Let q(p) = -p**2 - 8*p - 3. Calculate the remainder when r is divided by q(t).
8
Let x(c) = -c**3 + 4*c**2 - 2*c - 1. Let m(d) = -d + 2. Let t be m(0). What is the remainder when 8 is divided by x(t)?
2
Let l(y) = y**3 + 18*y**2 - 18*y + 24. Let d be l(-19). Suppose d*c - 3 = n - 1, 0 = 2*c - 2. What is the remainder when 5 is divided by n?
2
Let f be 3/(-6) + (-15)/(-6). Suppose 4*t - 612 = -f*t. What is the remainder when t is divided by 26?
24
Calculate the remainder when 28/1 - (1 - 0) is divided by 15.
12
Let q(y) = 4*y + 28. What is the remainder when q(6) is divided by 11?
8
Calculate the remainder when -4 - -3*(0 - -10) is divided by 7.
5
Suppose -6*b + b + 55 = 0. Let u = b + 7. Calculate the remainder when u is divided by 7.
4
Suppose 2*g + 1 = y - 4*y, 3*g + 4 = -5*y. Calculate the remainder when g is divided by 3.
1
Let c be (0 - -12) + 1 + -1. Let l(v) = v - 3. What is the remainder when 25 is divided by l(c)?
7
Suppose 4*d - 2*c + 8 = 0, c - 5 = -2*d - 13. What is the remainder when 3 is divided by (0 - d) + 0 + -1?
1
Let m(c) = c**2 + 2*c - 9. What is the remainder when 16 is divided by m(-5)?
4
Let c = 7 - 6. Calculate the remainder when -1 + (-2 + c)*-16 is divided by 8.
7
Suppose 4*u = 19 - 3. Suppose g = c - 3, 3*c = -u*g - c - 4. What is the remainder when 25 is divided by g/6 - 172/(-12)?
11
Let f = -17 + 10. Let o = f + 26. Let i = -5 + 61. What is the remainder when i is divided by o?
18
Let y(w) = 2*w**2 - w - 1. Let a be y(-1). Let t be -4 + a + -4 + 3. Calculate the remainder when 24 is divided by (0 + 3)/(t/(-9)).
6
Let a = -2 - -5. What is the remainder when a is divided by 2?
1
Suppose -z = 2*g - 4 - 3, -5*z - 10 = g. Suppose 3*n - 3*s - 27 = 0, n - g*s = -11 - 0. Let d = 7 - 2. Calculate the remainder when n is divided by d.
4
Let c = -1 + 7. Let n be (c/3 - 6)*-1. Let y(s) = -s + 9. What is the remainder when 8 is divided by y(n)?
3
Let p(b) = b**3 - 3*b**2 - b + 2. Let g be p(3). Calculate the remainder when 13 is divided by g*(2 - 1)*-5.
3
Let z = 10 - -5. What is the remainder when 54 is divided by z?
9
Let u(h) = -9*h + 19. What is the remainder when u(-7) is divided by 28?
26
Suppose -32 = -2*s + 4*o, -s + 5*o + 2 = -29. Suppose -5*p + 70 = 25. What is the remainder when p is divided by s?
3
Let a = 311 - 120. Suppose -5*u + a = 4*j, j - 194 = -8*u + 3*u. Calculate the remainder when u is divided by 14.
11
Suppose 5*c = -110 + 480. What is the remainder when c is divided by 12?
2
Let n(w) = w**3 + 5*w - 3. Calculate the remainder when n(3) is divided by 10.
9
Suppose 4*m = -5*x + 71, -x = -4*x + 4*m + 17. Suppose 2 + x = s. Calculate the remainder when 49 is divided by s.
10
Let w(u) = -u**3 + 4*u**2 - 2*u + 3. Let s be w(3). Let z(v) = -v**3 + 7*v**2 - 5*v + 6. Calculate the remainder when 21 is divided by z(s).
9
Suppose 5*z + 0*u = 4*u - 15, 2*u - 9 = z. Suppose -s + y - z = -6, -15 = -3*s + 2*y. Suppose 5*o = 2*o + 42. What is the remainder when o is divided by s?
4
Let f = 51 + -37. Calculate the remainder when 51 is divided by f.
9
Suppose 3*f = 2*d + f - 22, 25 = -5*f. Let h = -4 + d. Suppose h*q - 34 - 6 = -4*k, -5*k = q - 35. Calculate the remainder when q is divided by 6.
4
Let n be (7/3)/((-2)/6). Let k = -71 - -86. Let y = k + n. Calculate the remainder when 14 is divided by y.
6
Suppose -5*y - 42 + 430 = 4*q, 291 = 3*q + 4*y. What is the remainder when q is divided by 20?
17
What is the remainder when (6 + (-285)/10)/((-6)/8) is divided by 4?
2
Calculate the remainder when 14 is divided by (-1 + -3)*40/(-32).
4
Let a(y) = -3*y. Let u(b) = -3*b. Let d(t) = -4*a(t) + 3*u(t). Let p be (-9)/(1/(-1)) + -3. What is the remainder when 70 is divided by d(p)?
16
Suppose 2*p - 18 = -2*t + 5*p, -5*t - 5*p = 5. Suppose 2*m = 5*m + 12. Let s = m - -5. What is the remainder when t is divided by s?
0
Let d(l) = l**3 + 6*l**2 + 6*l + 5. Let w be d(-5). Suppose w = -0*k - k. Suppose 4*s + 0*s - 76 = k. Calculate the remainder when s is divided by 7.
5
Suppose -30 = 6*r - r. Let y(w) = -w - 2. Suppose -1 = f + 3*k, 2*f + 2*k = -f + 4. Calculate the remainder when y(r) is divided by f.
0
Let r be (-2)/3*(-18)/12. Suppose 0 = -k - 0*k + r. Calculate the remainder when k*-3*(-25 - -6) is divided by 20.
17
Let d(y) = 21 - 46 - 7*y - 5*y**2 + 19 - y**3. Calculate the remainder when 8 is divided by d(-4).
2
Let q(g) = 0*g + 0*g**2 + g**2 + 3*g - 5*g. What is the remainder when 3 is divided by q(3)?
0
Let y(q) = -q**2 - 7*q + 1. Let c = 15 - 9. What is the remainder when y(-5) is divided by c?
5
Suppose 0 = 5*x - x - 244. Let c = 95 - x. Calculate the remainder when c is divided by 9.
7
Let u(j) = 5*j - 7. Let l be 4/(-18) - 195/(-27). Calculate the remainder when u(l) is divided by 6 - (-3 + -6 + 5).
8
Let w = 12 + -5. Suppose 0 = 3*f - 0*f - 54. What is the remainder when f is divided by w?
4
Let h be (-1 - 0)/((-8)/(-40)). Let f(d) = d**2 + 1. What is the remainder when f(h) is divided by 14?
12
Let l(d) = d**2 - d + 2. Let u = -2 - 1. What is the remainder when 26 is divided by l(u)?
12
Let l = -5 -