6 = q. What is the remainder when v is divided by 15?
14
Let p = -10 - -5. Let q(z) = -z**3 - 4*z**2 + 6*z + 9. What is the remainder when 19 is divided by q(p)?
3
Let l = -178 + 304. Calculate the remainder when l is divided by 32.
30
Let y = 10 + -6. Suppose -3*m + 82 = -y*x, -4*x + 0*x + 2*m - 80 = 0. Calculate the remainder when 36 is divided by (x/4)/((-1)/4).
17
What is the remainder when (-1 - (-5)/((-10)/(-16))) + 3 is divided by 3?
1
Let r(j) = -j**2 - 10*j - 1. What is the remainder when 10 is divided by r(-9)?
2
Let r(d) = -d**3 + d + 4. Let o be r(0). Suppose 14 = 2*z - 2*k, -o*k = -3*z + 42 - 16. Calculate the remainder when 7 is divided by z.
1
Suppose -4*f - f + 3*t = 5, 4*t - 12 = 4*f. Suppose 3*h + 5*c = 56, 0*h + 39 = f*h + 5*c. Calculate the remainder when 67 is divided by h.
16
Suppose 0 = -3*t + t + 16. Calculate the remainder when 39 is divided by t.
7
Let g(q) = 4*q - 18. Let w(z) = -2*z + 9. Let h(d) = -3*g(d) - 5*w(d). Calculate the remainder when 81 is divided by h(-6).
18
Suppose 53 - 128 = -3*o. Suppose 4*u - 2*u - 4*f = 6, -5*u + 15 = 4*f. Let n(g) = g**2 + g - 3. Calculate the remainder when o is divided by n(u).
7
Let h = 8 + -5. Suppose n = -k - 4*n + 28, 0 = 3*k - 5*n + 16. Suppose 10 = -a + k*a. What is the remainder when a is divided by h?
2
Suppose -5*b - 40 = -9*b. Calculate the remainder when 47 is divided by b.
7
Let v be (8/(-6))/(2/(-9)). Let x(f) = 9*f - 5. Let w(q) = 2*q**2 - 18*q - 3. What is the remainder when x(v) is divided by w(10)?
15
Let q(a) = -a**2 + 10*a + 13. Let c = -7 - -16. What is the remainder when q(c) is divided by (18/(-4))/(6/(-16))?
10
Let v(l) = -13*l - 25. What is the remainder when 26 is divided by v(-3)?
12
Let s(p) = -p**2 - p - 15. Let a be s(0). Suppose 34 + 26 = 4*i. Calculate the remainder when 10 is divided by a*((-6)/i - 0).
4
Suppose 2*o = r + 14, -3*r + 28 = 4*o + 2*r. Let h(j) = 2*j**2 - 6*j + 6. Calculate the remainder when h(5) is divided by o.
5
Suppose -6 + 4 = 5*y + 4*p, -5*y + 1 = 3*p. Suppose 5*i - 125 = -4*r, -5*r + y*r - 2*i + 85 = 0. Calculate the remainder when (3 - 0)*(12 - -4) is divided by r.
23
Let k(c) = c**2 + 8*c - 13. Let s be k(-10). Suppose 3*m = x + 47, -s*x = -5*m - 3*x + 69. Calculate the remainder when 33 is divided by m.
16
Suppose 5*r = 5*i + 4 - 29, 0 = -2*i - 2*r - 6. Calculate the remainder when (2/(-4))/(i/(-28)) is divided by 5.
4
Let v be 5*1*(-12)/10. Let z be -146*((-15)/10)/(-3). What is the remainder when (-3)/v + z/(-2) is divided by 13?
11
Let g(i) be the second derivative of -4*i**3/3 - 9*i**2/2 - 5*i. What is the remainder when 68 is divided by g(-4)?
22
Calculate the remainder when 55 is divided by (7 + -4)*(-14)/(-3).
13
Let s = -15 - -17. Suppose -5 = -i - s*m + 4, -5*m = i - 6. What is the remainder when 20 is divided by i?
9
Let z be 5*(-3 + (-36)/(-10)). Suppose -6*r + r + 75 = 5*s, 0 = -5*s + z*r + 51. Calculate the remainder when 47 is divided by s.
11
Let i(g) = 5*g**2 - g - 1. Let w be i(-3). Suppose -4*r - 5*j + w = -3*r, 2*r - 58 = 2*j. What is the remainder when r is divided by (-2 - (0 - 2)) + 11?
10
Let o be 0/1 + -10 + 2. Let q be (14/(-8))/(2/o). Let s = -3 + q. What is the remainder when 7 is divided by s?
3
Suppose -95 = -5*w + 2*b + 3*b, -2*w + b + 35 = 0. Let h = -47 + 25. Let s = -16 - h. What is the remainder when w is divided by s?
4
Let m = -38 + 62. Suppose 4*l = l + m. Let v(i) = 22*i**2 - i - 1. What is the remainder when v(-1) is divided by l?
6
Let h(y) = y**3 + 7*y**2 - 11*y - 17. Calculate the remainder when 23 is divided by h(-8).
2
Let z(m) = -26*m**2 + m - 1. Let b be z(1). Let v = b - -45. Calculate the remainder when v is divided by 11.
8
Suppose 111 - 15 = 4*u. Suppose 3*i - 44 = -i - 5*z, -i = -4*z - 11. Calculate the remainder when u + -6 + 0 + 2 is divided by i.
9
Suppose 5*d + 8 = 4*o, 0 = -2*d - 2*d - 2*o + 4. Suppose 4*s - 6*w = -2*w + 60, 4*s + w - 70 = d. What is the remainder when 32 is divided by s?
15
Suppose 0 = 5*l + 7*l - 24. What is the remainder when 2 is divided by l?
0
Suppose 5*i - 130 = -2*d - 3*d, -5*d + 150 = -5*i. Suppose -3*y = y - d. What is the remainder when 11 is divided by y?
4
Let j = 32 + -22. What is the remainder when ((-51)/(-12))/(6/24) is divided by j?
7
Let n(s) = -s**3 + 3*s + 4. Suppose 2*t + 16 = -5*r, 4*t + 16 = -0*t - 2*r. Calculate the remainder when 41 is divided by n(t).
19
Suppose -n + 11 + 18 = 5*f, 3*n = -5*f + 37. Suppose 2*m - n*u + 3*u = 25, -m - 10 = -5*u. Let i = 7 + 1. Calculate the remainder when m is divided by i.
7
Let p = 25 + -17. Let h(r) = -r**3 + 15*r**2 + r. Let l = -11 + 26. What is the remainder when h(l) is divided by p?
7
Let j(a) = -23*a - 1. Let t = -2 + -5. Let z = t - -15. What is the remainder when j(-1) is divided by z?
6
Let q(n) = -1 - 2*n + 0 + 3*n + 5. Let f be q(-4). Suppose -2*o + a + 29 = f, -o + 22 = -4*a + 4. Calculate the remainder when 26 is divided by o.
12
Let o = -10 - -13. Suppose -w - 1 = -2. Let c = o - w. Calculate the remainder when 5 is divided by c.
1
Let g(n) = 2*n**2 + 68. Calculate the remainder when g(0) is divided by 24.
20
Suppose 2*o = -5*b + 71, o - 30 = -4*b + 28. What is the remainder when 55 is divided by b?
10
Let r(k) = -k - 5 - 1 + 0. Calculate the remainder when 1 - (1 - (-5 - -10)) is divided by r(-8).
1
Suppose -x = x - 24. Suppose -5*s = -2*s - x. What is the remainder when 9 is divided by s?
1
Suppose 0 = -2*k + 202 - 26. What is the remainder when k is divided by 29 - 2/4*-2?
28
Let q(z) = z**2. Let a be q(-2). Suppose a*h - 22 = 30. Let w = h + -8. What is the remainder when 13 is divided by w?
3
Let m be 8/(-4) - (-7 + -1). Suppose u + m = 13. Let h = 1 + u. What is the remainder when 23 is divided by h?
7
Let y = 181 + -180. Suppose 0 = 2*n + 2*c - 0*c + 16, -2*c = 5*n + 31. Let s(m) = -m**3 - 5*m**2 + 1. Calculate the remainder when s(n) is divided by y.
0
Suppose 0 = 2*l - 5*a - 23 + 91, -4*l = -3*a + 122. Let o = 58 + l. Calculate the remainder when 84 is divided by o.
26
Suppose 2*w + 3*w - 283 = 4*z, -w - 3*z + 49 = 0. Let q be 1 + (-1 - 9/(-3)). Suppose -92 = -5*p + q. What is the remainder when w is divided by p?
17
Suppose 5*g = 3*n - 74, 0 = n - 0*g + 2*g - 32. Let f be 59 + (0 - 1) + 1. What is the remainder when n is divided by f/4 - (-1)/4?
13
Let n(z) = z**3 - 13*z**2 + 15*z - 14. What is the remainder when 63 is divided by n(12)?
19
Suppose -22 = -4*b + 3*d, -2*d = d - 6. Calculate the remainder when 32 is divided by b.
4
Let y be (11 - 5)/(2/7). Suppose -y + 75 = 3*z. Suppose -3 - 17 = -2*c. What is the remainder when z is divided by c?
8
Let o = -45 + 74. What is the remainder when o is divided by 3?
2
Suppose -9 = -2*k - 5*v + 20, 8 = -k + 2*v. Suppose -10 = 5*w, 0 = 5*c - w - k*w - 466. What is the remainder when c is divided by 31?
30
Suppose -5*x + 3*x - 3*t + 64 = 0, 0 = -5*t - 20. Suppose b = -b + x. What is the remainder when b is divided by 7?
5
Suppose 4*f - 33 = 131. Calculate the remainder when f is divided by ((-11)/(-2))/((-1)/(-2)).
8
Suppose -4*h + c + 69 = 0, h - 3*c - 22 = -2. Calculate the remainder when 49 is divided by h.
15
Let z(s) = s**3 - 9*s**2 + 8*s - 1. Let o be z(8). Calculate the remainder when 93/(o + 4 + -2) is divided by 32.
29
Suppose -3*u + 28 - 7 = 0. Let i = -2 + u. What is the remainder when ((-46)/5)/((-1)/i) is divided by 12?
10
Let t = 22 + -20. Suppose -t*a - 2 = -54. What is the remainder when 49 is divided by a?
23
Let n(d) = 0*d + d**2 + 2*d - 4*d. What is the remainder when 4 is divided by n(3)?
1
Suppose 4*y = 2*y + 126. Suppose 5*q - h - y - 9 = 0, 0 = 4*q + 5*h - 46. What is the remainder when 39 is divided by q?
11
Suppose 0 = 3*m + 3*y - 3, -y - 4 = -2*m + 7. Suppose -4*n + 2*c = -26, -2*n + 4*c - c + 3 = 0. Calculate the remainder when n is divided by m.
1
Let t(p) = p**3 - 9*p**2 + 9*p + 1. Suppose 4*y + 5*z = 39, -3*z + 6*z + 15 = 4*y. Calculate the remainder when t(8) is divided by y.
3
Suppose -y - 4*p = 3, -2*p + 56 = 3*y - 3*p. Suppose -4*l = -15 - 1, -y = -j - 5*l. What is the remainder when 2/((3/(-4))/j) is divided by 3?
2
Suppose 2*q - 87 = h - 37, -5*q = h - 111. Suppose -182 = 3*s - 5*s. What is the remainder when s is divided by q?
22
Suppose -j + 8 = 3*j. Suppose j*l + v + 2*v = -11, v = -5