ainder when f is divided by 20.
18
Let y = 3 + 0. Suppose -y*s + 144 = i + 4*i, 2*i - 3*s - 66 = 0. Suppose 0 = -5*u - 15, -6*t - u + i = -3*t. What is the remainder when 31 is divided by t?
9
Suppose -82 = -4*d - 2*x + 250, 3*d = -3*x + 255. Calculate the remainder when d is divided by 21.
18
Let v = -13 + 14. Suppose 9 = 5*u - 0*u - 3*z, 0 = 2*u - 3*z - 9. Suppose 0 = -u*m - m + 1. Calculate the remainder when v is divided by m.
0
Let w(c) = c**3 - 5*c**2 + 8*c - 4. Calculate the remainder when w(5) is divided by 20.
16
Let t(n) be the first derivative of -n**2/2 + 11*n - 1. Suppose -6 + 30 = -3*m + 4*h, -4*m + 5*h = 32. What is the remainder when t(m) is divided by 10?
9
Let b(q) = q - 11. Let t(n) = 3*n - 32. Let p(v) = 11*b(v) - 4*t(v). Suppose -2*a = 4*a - 6. Calculate the remainder when p(5) is divided by a.
0
Let y = 47 + -33. Suppose -3*t + 6 = 0, 0*z + 4*z - 24 = -2*t. What is the remainder when y is divided by z?
4
Let j(g) = -g + 16. Calculate the remainder when 11 is divided by j(13).
2
Let j = -24 - -53. Suppose -7 - 23 = -3*y. Calculate the remainder when j is divided by y.
9
Suppose 9 - 37 = -4*d. Suppose -d*q + 10*q = 75. Calculate the remainder when 97 is divided by q.
22
Let x = 11 + 8. Suppose z = -z + 3*o + 59, 3*z - 96 = 3*o. Calculate the remainder when z is divided by x.
18
Let h = 6 - 2. Suppose -h = -u - u. Suppose -100 = u*v - 4*v. What is the remainder when v is divided by 17?
16
Suppose 0 = 3*m - m + 3*s - 16, 0 = 2*m - 5*s. What is the remainder when 10 is divided by (-15)/(-6)*6/m?
1
Suppose -2*m + 17 = -5*k - 37, 4*m = 4*k + 132. Calculate the remainder when 184 is divided by m.
36
Suppose 5*c - 10*c + 5*j + 110 = 0, 0 = -4*j - 20. What is the remainder when 78 is divided by c?
10
What is the remainder when 26 is divided by (-4 - 3 - -4) + 10?
5
Let z = 4 - -28. Let k = z - 22. What is the remainder when 28 is divided by k?
8
Let j be -2*(18/4 - -1). Let i(y) = 4*y + 4. Let l be i(-8). Let r = j - l. What is the remainder when r is divided by 9?
8
Let p = 14 + -10. Suppose 4*n + 27 + 11 = 2*u, p*n - 4 = 0. Calculate the remainder when 40 is divided by u.
19
Suppose 5*y - 130 = 2*g + 2*g, 5*y - 135 = 3*g. What is the remainder when y is divided by 64/(-6)*(-18)/12?
14
Let b(c) = -c**3 - 3*c**2 + 8*c + 3. Calculate the remainder when 50 is divided by b(-5).
11
Let s = -54 + 38. Let y = s - -24. Calculate the remainder when y is divided by 5.
3
Let i be 2/3*9/6. Suppose -2*d + i = -3. Calculate the remainder when d is divided by 2.
0
Suppose 0*v = 2*v - 8. Suppose 0 = -3*y - v*u + 8, -28 = -4*y - u. What is the remainder when (-2 + 3)/((-2)/(-30)) is divided by y?
7
Let i(w) = w**3 - 10*w**2 - 9*w - 6. Let n be i(11). Suppose -20 = -4*k + n. What is the remainder when 35 is divided by k?
8
Suppose 3*w - 14 = -y - 2*w, 43 = 2*y - 5*w. What is the remainder when 75 is divided by y?
18
Suppose -66 = 5*l - 2*l. Let p be 2/(-11) + (-70)/l. Suppose p*a + 0*a = 21. Calculate the remainder when 19 is divided by a.
5
Calculate the remainder when 94 is divided by (-2 + 1*4)*(-247)/(-26).
18
What is the remainder when 72 is divided by 1029/28 - (-2)/8?
35
Suppose -5*m - 1 = -6. Let u(z) = 31*z + 1. Calculate the remainder when u(m) is divided by 17.
15
Suppose -6*j = -2*j - 12. What is the remainder when 10 is divided by j?
1
Let r be 1 - 4 - -11 - -2. Suppose -4*f + 5*g = -12 - 1, -4*f - g = -7. Suppose c = f*c - r. Calculate the remainder when c is divided by 6.
4
Let y = -83 - -124. What is the remainder when y is divided by 14?
13
Let t(w) = -2*w - 5. Suppose 3*u + 5 - 11 = 0. Calculate the remainder when t(-4) is divided by u.
1
Let d = 4 + -7. Let c = d - -7. Suppose -c*z - 5 = f - 41, -f = -z + 4. What is the remainder when z is divided by 3?
2
Suppose -4*n + 7*n - 17 = -5*c, 17 = c + 4*n. Suppose 2 = 2*t - 6. Calculate the remainder when c/(-2) - (-138)/12 is divided by t.
3
Suppose 2*b - 121 - 66 = o, 0 = -5*b + o + 466. What is the remainder when b is divided by 24?
21
Let d(n) = -n + 2. What is the remainder when 22 is divided by d(-4)?
4
Let d = 14 + -4. What is the remainder when 27 is divided by d?
7
Suppose -f + 4*f + v - 258 = 0, -349 = -4*f - 3*v. What is the remainder when 33 is divided by (f/10)/((-1)/(-2))?
16
Let w be 1 + 5 + 0 + -2. Suppose 3*p - w*q = -2*q + 39, 0 = -3*p + q + 36. Calculate the remainder when 32 is divided by p.
10
Let l be ((-10)/(-4) - 3)*-46. Suppose 3*m - l = -2. What is the remainder when -1*1/(-1)*11 is divided by m?
4
Suppose 130 = 5*n + 2*k, 7*k - 2*k = -3*n + 97. Calculate the remainder when 47 is divided by n.
23
Suppose 37 - 9 = 2*s. Suppose 0 = -o + 5, -5 = -5*b + o - 0*o. Suppose q = 5*g + 23, -b*q - g + 28 = -5*g. What is the remainder when s is divided by q?
6
Suppose -5*c = 4*w - 102, -c + 5*w - 5 + 37 = 0. What is the remainder when c is divided by 13?
9
Calculate the remainder when (-18*3/(-5))/(7/105) is divided by 33.
30
Suppose -3*p + 6 = -3. Let n(r) = r**2 + 2. What is the remainder when 20 is divided by n(p)?
9
Suppose d + 59 = 2*i, -3*i - i + 88 = 4*d. Let y = 46 + -31. Calculate the remainder when i is divided by y.
12
Suppose -5*n - 109 = -329. Calculate the remainder when n is divided by 16.
12
Suppose p - 6*p = -10. Let q = 3 + p. Calculate the remainder when q is divided by 2.
1
Let l = 10 + -3. Let h = 0 - 0. Suppose 5*z - 21 + 1 = h. What is the remainder when l is divided by z?
3
Suppose -5*x = 1 + 14. Calculate the remainder when (-6)/((-99)/32 - x) is divided by 22.
20
Suppose -5*t = -5 - 5. Suppose -t*d + 20 = 3*d. Calculate the remainder when 10 is divided by d.
2
Let o(m) = m**2 + 43*m + 74. What is the remainder when o(-43) is divided by 0 + 19 + 0 + 0?
17
Suppose 3*v - 4*m - 50 = -0*m, 0 = -3*v - 4*m + 34. Let a = -179 - -204. What is the remainder when a is divided by v?
11
Let v(m) = m**2 + 6*m - 8. Calculate the remainder when v(4) is divided by 11.
10
Suppose 3*p = 16 + 8. What is the remainder when (4/2)/(18/189) is divided by p?
5
Let x(y) = -2*y - 7. Let p be x(-5). Let h(z) = 5*z + 3. What is the remainder when 51 is divided by h(p)?
15
Suppose -3*r - 3*l + 45 = 0, 2*l - 16 = -r - 0*r. What is the remainder when r is divided by (-224)/(-40) + (-3)/5?
4
Suppose 3*j - 1 = 2. Let y be 3 - (-1 + 1 + j). Suppose 0 = -2*o - y*o + 24. Calculate the remainder when 16 is divided by o.
4
Suppose -51*c + 49*c = -38. Calculate the remainder when c is divided by 2*(-1)/(-4)*22.
8
Suppose 0*m - 3*m = 4*y - 69, -4*y + 73 = -m. What is the remainder when 70 is divided by y?
16
Let v(q) = q**2 + 6*q - 4. Calculate the remainder when v(7) is divided by 9.
6
Suppose -4*l - 4*s = 516, 0 = 5*l - 2*l - 5*s + 379. Let g = l + 183. Calculate the remainder when g is divided by 19.
17
Suppose 0*c - 3*c + i + 71 = 0, 4*c - 2*i - 94 = 0. Suppose r - 4*h = 2*r - c, 4*h + 24 = 3*r. Let p = -17 + 39. Calculate the remainder when p is divided by r.
10
Let w be ((-66)/(-8))/((-6)/(-24)). Suppose 0 = -2*d + w + 3. Calculate the remainder when d is divided by 5.
3
Let l be (-1 - -1)/(-1) + -3. Let q(h) = -h**3 - 4*h**2 - 4*h - 1. Let j be q(l). Let p = 3 + j. Calculate the remainder when 18 is divided by p.
3
Suppose -4*d + 5 + 39 = 0. What is the remainder when d is divided by 7?
4
Suppose -7*z + 123 = -10. What is the remainder when z is divided by 5?
4
Suppose 44 = 4*f - 16. What is the remainder when f is divided by 8?
7
Suppose 24 = 4*i - 0*i. Let u(y) = -y**2 - 9*y - 6. Let f be u(-8). Let o(b) = 3*b**2 - 2*b + 3. Calculate the remainder when o(f) is divided by i.
5
Let v = 3 + 0. Suppose -v*x = 0, -3*x + 16 = 4*u - x. What is the remainder when 6 is divided by u?
2
Let j(v) = v**3 - v**2 + 4*v - 10. Calculate the remainder when j(4) is divided by 14.
12
Let u = 2 + 0. Suppose -c = 2*c + l + u, -4*l - 8 = 0. Suppose n - 1 - 4 = c. Calculate the remainder when 13 is divided by n.
3
Let s(v) = 4*v**3 - 2*v**2 + 4*v - 2. Suppose 11 = 2*w - 17. Calculate the remainder when w is divided by s(1).
2
Suppose 8*g = 11*g - 33. Calculate the remainder when 40 is divided by g.
7
Let a(d) = d**3 - 6*d**2 - 5*d - 7. Calculate the remainder when a(7) is divided by (-3)/(-4) - (-13)/4.
3
Let p(t) = -t**3 - t**2 + t + 14. Let w(j) be the third derivative of -7*j**4/24 + j**3/6 - 