w(d) = 3*d**2 - 3*d. What is the remainder when 21 is divided by w(a)?
3
Let l = 77 - 48. Calculate the remainder when l is divided by 15.
14
Suppose 2*f + 77 = 89. Calculate the remainder when 8 is divided by f.
2
Suppose -3*j + 17 = -2*u - 5, 3*j = -4*u - 8. Suppose 0 = -3*q + 9 + 3. Suppose -q*p - p = -15. What is the remainder when j is divided by p?
1
Let h = -19 + 43. What is the remainder when h is divided by 9?
6
Let b(x) = -6*x + 1. Let m(k) = -k**2 - k - 3. Let t be m(7). Let q = -35 - t. What is the remainder when q is divided by b(-2)?
11
Let k(l) = 2*l**2 - 9*l - 4. Suppose 0 = 2*m - 0*m - 12. Suppose -2*o - 44 = -m*o. Calculate the remainder when k(7) is divided by o.
9
Suppose -5*a + 5 + 5 = 0. Suppose n + 5*g = 101, -218 = -4*n + n + a*g. What is the remainder when n is divided by 26?
24
Suppose -2*m - 4*f + 8 + 30 = 0, -3*f = m - 19. Calculate the remainder when m is divided by 14.
5
Suppose 5*b - 25 = -5*m, 0*b - 3*b + 8 = -4*m. Calculate the remainder when 10 is divided by b.
2
Suppose -5*u + 7 = -8. Suppose -j + 20 = u*j. Let k(t) = t**3 - 4*t**2 - t + 7. What is the remainder when k(j) is divided by 10?
7
Suppose -4*y + 7 = -b, -y - 28 = -5*b - 2*y. Suppose g - 5*q - 6 = -0*q, -b = -q. Calculate the remainder when g is divided by 8.
7
Suppose 0 = 5*j - 48 + 18. Calculate the remainder when 6 is divided by j.
0
Let y = -16 - -9. Let j = y - -11. Let m(g) = 3*g - 1. Calculate the remainder when m(j) is divided by 6.
5
Let r(b) = b**2 + 6. Calculate the remainder when 28 is divided by r(0).
4
Let l(d) = -d**3 + 12*d**2 - 14*d - 1. What is the remainder when l(10) is divided by (-1095)/(-35) - (-2)/(-7)?
28
Suppose 0*r - 3*r + 15 = 0. Suppose r*p + 5 = 80. Calculate the remainder when p is divided by 3*(48/9)/2.
7
Let c(p) = -p**3 + 6*p**2 - 5*p + 3. What is the remainder when c(3) is divided by 6?
3
Let b(d) be the second derivative of d**3/2 + 9*d**2/2 + 4*d. Let g be b(10). Suppose -3*s = -0*s - g. Calculate the remainder when 38 is divided by s.
12
Let c(k) be the first derivative of k**4/4 + 3*k**3 + 5*k**2/2 - 7*k + 3. What is the remainder when c(-7) is divided by 19?
18
Let m = 6 + 19. Calculate the remainder when 99 is divided by m.
24
Suppose -3*w + 5*k + 1 = 0, -3*w + k + 3 = -2*k. Let j be (-2)/(w + (-56)/26). Suppose -3*s = -2*s - j. What is the remainder when 25 is divided by s?
12
Suppose 2*o + 30 = -o. What is the remainder when (6/(-4))/(o/120) is divided by 7?
4
Let s = 12 - 18. Let f = -2 - s. Let y = 9 - f. Calculate the remainder when 14 is divided by y.
4
Suppose 4*g = -5*b + 68, -76 = -4*g + 3*b + 24. Suppose -n + g = n. Let r(x) = x**2 - 11*x + 8. What is the remainder when 29 is divided by r(n)?
5
Let h(g) = -g**2 - 5*g - 3. Let v be h(-2). Suppose -4 = -v*x + 2. What is the remainder when x is divided by 2?
0
Let u(b) = -b**3 + 3*b**2 + 6*b - 5. Calculate the remainder when 6 is divided by u(4).
0
Let w = 4 - -13. Suppose -a + 6*a - 255 = -2*h, -3*a + h = -142. Calculate the remainder when a is divided by w.
15
What is the remainder when 128 is divided by -22*((-44)/8 - -4)?
29
Suppose 40 = -0*f + 5*f. Suppose -4*s + f*s - 68 = 0. What is the remainder when s is divided by 6?
5
Let i = -42 + 24. Let p = i - -20. What is the remainder when 6 is divided by p?
0
Let c(o) = 3*o - 8. Calculate the remainder when 74 is divided by c(11).
24
Suppose -4*i = -2*i - 24. Calculate the remainder when 35 is divided by i.
11
Suppose 5*l - x + 2554 = 0, -5*x + 1028 = -2*l - 3*x. Let k = 11 - 25. Calculate the remainder when 46 is divided by 4/k + l/(-21).
22
Suppose -5*m + 29 = -106. Calculate the remainder when m is divided by 1743/168 - 6/16.
7
Let o(g) = g**3 - 14*g**2 + 15*g - 14. What is the remainder when 128 is divided by o(13)?
8
Suppose -5*r = 2*t - 5 - 5, t - 3*r = 5. What is the remainder when 14 is divided by t?
4
Suppose -4*z = -166 - 30. What is the remainder when z is divided by 9?
4
Let r(b) = -2*b + 5. Let f be r(4). Let l = -36 + 61. What is the remainder when l is divided by (-5 - f)*(-26)/4?
12
Let t(p) = -p + 6. Suppose 0*c - 2*c - 18 = 0. Let z be t(c). Let n = 47 - z. What is the remainder when n is divided by 11?
10
Let j(w) = -w**2 + 6*w - 3. Let l be j(5). Suppose -7 = -o - l, 2*o - 52 = -3*a. Calculate the remainder when 41 is divided by a.
13
Suppose -2*c - 57 = -265. What is the remainder when c is divided by 35?
34
Let g = 43 - 29. Let t(i) = 3*i - 4. Let c be t(3). What is the remainder when g is divided by ((-6)/c)/((-3)/20)?
6
Let d(z) = z**3 - 4*z**2 + 3*z + 3. Let s(c) = 6*c**2 + c**2 + 2 + 0*c**3 + 5*c + c**3. What is the remainder when s(-6) is divided by d(3)?
2
Let p = -25 + 188. Suppose 2*r + 3*b - 75 = -2*b, -3*b - p = -4*r. Calculate the remainder when r is divided by 14.
12
Let r(a) = -a**2 + 9*a - 5. Let v be r(8). Suppose 3*z + 2*b = 46, 20 - 4 = v*z - 4*b. Calculate the remainder when 35 is divided by z.
11
Let l = -36 + 50. Suppose r = -4*o + 211, -311 = -5*o - 3*r - 49. Calculate the remainder when o is divided by l.
11
Let j = 122 + -74. Let x(v) = -v**3 - 7*v**2 + 5*v - 11. Calculate the remainder when j is divided by x(-8).
9
Let y be ((-8)/(-6))/(2/27). Suppose -14 - y = -4*g. Let k = -4 + 9. Calculate the remainder when g is divided by k.
3
What is the remainder when (-330)/(-12) - (-2)/(-4) is divided by 8?
3
Suppose 0 = -2*y + 3*a - 19 + 110, -y + 3*a + 53 = 0. Let u(s) = 14*s - 1. Calculate the remainder when y is divided by u(1).
12
Suppose -14 = 8*f - 10*f. What is the remainder when f is divided by 4?
3
Suppose 3*t + 5*b + 32 = 0, -3*b + 8 = -5*t - 0*b. Let x(r) = -2*r**3 - 5*r**2 + 2*r - 1. What is the remainder when x(t) is divided by 14?
11
Let f = 70 + -41. Suppose 3*s = 3*t - 30, -f + 13 = -2*t + s. Calculate the remainder when t is divided by 4.
2
Let s = 0 - -3. Let k = -26 + 31. Suppose k*c - 3*l - 2*l = 45, -l = 0. Calculate the remainder when c is divided by s.
0
Suppose -2*c = -0 - 2. Let g = -14 - -20. Calculate the remainder when (-2)/(c + 26/(-22)) is divided by g.
5
Let z(b) = -b + 0*b + 0*b - 3*b + 1. Calculate the remainder when (-8)/((6/27)/(-1)) is divided by z(-3).
10
Let z(o) = -o**2 + 10*o - 14. What is the remainder when 29 is divided by z(5)?
7
Let w = 5 + -3. Suppose q = -w*q. Suppose -3*k - 9 = q, -4*r - 7 + 21 = 2*k. Calculate the remainder when r is divided by 2.
1
Let t be (-2)/3*(-27)/6. Suppose 72 = f + t*f. Calculate the remainder when 53 is divided by f.
17
Suppose -8 = l - 2*l. What is the remainder when 37 is divided by l?
5
Suppose 5*d + a + 25 = 3*a, -3*d - 3*a + 6 = 0. Let z be ((-10)/6 - -3)*6. Let p = d + z. Calculate the remainder when 14 is divided by p.
4
Suppose 5*l = 4*c + 59, -5*l + 17 = -3*c - 26. Let j = -5 - c. Let r = 11 + -5. What is the remainder when j is divided by r?
5
Suppose -4*j - 1 = -13, 3*w - 4*j = -12. Suppose 0 = v - 24 - 13. Calculate the remainder when v is divided by (-1)/(-3)*w - -13.
11
Let t be (-8)/(-28) + (-24)/(-14). Suppose c - 33 = -t*z, 3*z = 4*c - 0*c + 33. Calculate the remainder when z is divided by 8.
7
Let w(o) = 4*o**2 + 22*o + 45. Calculate the remainder when (-16)/((1 - 0)/(-3)) is divided by w(-2).
14
Let f(c) = -c - 3. Let m be f(-5). Let a be 6*(5/m + -2). What is the remainder when (42/2)/(a/4) is divided by 10?
8
Suppose -4*w = -w - 24. Calculate the remainder when 20 is divided by w.
4
Suppose 5*a + 6*g = 4*g + 119, -2*a + 5*g = -65. What is the remainder when 48 is divided by a?
23
Suppose -8*d + 11*d = 6. Suppose m + h - d = 33, 3*h = -m + 29. What is the remainder when m is divided by 10?
8
Suppose 0 = -u - 2*w - 6, 5*w + 11 = 2*u - 22. Calculate the remainder when 9 is divided by u.
1
Suppose 0 = 4*x + 39 - 143. What is the remainder when x is divided by 7?
5
Let t = 30 + -26. Calculate the remainder when 6 is divided by t.
2
Suppose -3*v = -4*x + 2, -2*x + 5*x - 3*v = 0. Suppose 0 = -x*b - 2*b + 52. Calculate the remainder when 147/4 + (-5)/(-20) is divided by b.
11
Let q(l) = l**2 + 9*l - 10. Let f be q(-9). Let m = -7 - f. Calculate the remainder when ((-7)/2)/((-8)/16) is divided by m.
1
Suppose -2*w = -2 - 24. What is the remainder when w is divided by 5?
3
Suppose -18 - 141 = -3*a - 4*b, -3*b + 219 = 4*a. Suppose 0 = -0*m + m - 2*n - 21, -4*m + 54 = 2*n. Wh