the remainder when 26 is divided by k.
12
Let c(w) = w**3 - 9*w**2 + w - 9. Let t be c(9). Suppose t = z - n - 71, z - 2*n = 67 + 1. What is the remainder when z is divided by 19?
17
Suppose -2*x - 3*p + 9 = -2*p, -18 = -3*x + 3*p. What is the remainder when 28 is divided by x?
3
Let f(l) be the third derivative of -l**6/120 - 3*l**5/20 - 11*l**4/24 - 5*l**3/3 - 5*l**2. Calculate the remainder when 41 is divided by f(-8).
13
Suppose 0*x = 4*x - 8, 2*x + 76 = 2*d. Suppose -5*f - 13 = 47. Let b = f + 26. What is the remainder when d is divided by b?
12
Let o(v) = -v**3 - 25*v**2 - v - 17. What is the remainder when 46 is divided by o(-25)?
6
Suppose 3*s - 6 = -4*c + 15, -2*c + 28 = -2*s. What is the remainder when c is divided by 6?
3
Suppose -2*o + 3 = -7. Calculate the remainder when 14 is divided by o.
4
Suppose -5*p - 29 + 9 = 0, 4*p + 53 = i. Calculate the remainder when i is divided by 4.
1
Suppose 0 = 5*i - 4 - 16. Suppose -p = i*l - 5*p - 56, -l + 44 = 5*p. What is the remainder when l is divided by -3*1*7/(-3)?
5
Let v(k) = k**3 + 11*k**2 + 10*k + 5. Let s be v(-10). Let z(w) = -5*w. Let a be z(s). Let q = a - -58. What is the remainder when q is divided by 9?
6
Suppose 0 = -0*a - 2*a + 10. Let i(b) = -b**3 - 4*b**2 + 2*b + 6. Let d be i(-4). What is the remainder when a is divided by (3/d)/((-3)/6)?
2
Suppose 5*a - 13 = 62. Calculate the remainder when 55 is divided by a.
10
Let i = -77 - -79. Suppose 2*t - 3*t + 14 = z, -4*t = 3*z - 39. Suppose 4*h = -1 + z. What is the remainder when h is divided by i?
0
Suppose 6*q - 3*q = 54. Suppose 2*o + q = 4*o. Let d = 32 + -16. Calculate the remainder when d is divided by o.
7
Let a = 34 - -140. Suppose -39 = 5*y - a. Calculate the remainder when y is divided by 15.
12
Suppose 2*d + 4*t - 8 = -0*t, -3*t = -3*d + 3. Suppose d*n - 79 = 33. What is the remainder when n is divided by 19?
18
Calculate the remainder when 3 is divided by 3/(-2) - (-49)/14.
1
Let c(l) = -5*l + 6. Let p be c(-7). Let n = p - 18. Suppose 3*q - 2*m = 44, 3*q - 4*m - 40 = -3*m. Calculate the remainder when n is divided by q.
11
Let p(q) = 4*q**2 - 2*q + 1. Let k(j) = j**2 + 13*j + 48. What is the remainder when p(2) is divided by k(-8)?
5
Let y(s) = s**2 - 1. Let r be y(0). Suppose -4*z + 18 = -z. What is the remainder when (51/(-6))/(r/2) is divided by z?
5
Let p = 205 - 109. Suppose -o + 0 + 59 = 0. Let v = p - o. Calculate the remainder when v is divided by 13.
11
Let w(y) = 19*y**2 + y. Suppose -5 = 5*a - 0*a. Suppose -4*h + 3*l = 4*l - 210, 4*l - 216 = -4*h. What is the remainder when h is divided by w(a)?
16
Let g = 29 + -21. Calculate the remainder when 34 is divided by g/(-10)*15*-1.
10
Let d(u) = -u**3 + 6*u**2 + 4. Let t be d(6). Suppose -4*p + 65 = 5*a, t*a + 4 = -8. What is the remainder when p is divided by 11?
9
Let y = 19 + -101. Let i = y - -116. Suppose 6*l = 5*l + 12. Calculate the remainder when i is divided by l.
10
Let f be (-102)/(-8) - (-3)/(-4). Let n(u) = -u + 19. What is the remainder when 25 is divided by n(f)?
4
Let g(f) = -3*f**2 + 85*f - 5. What is the remainder when 204 is divided by g(28)?
20
Let i = 2 + -2. Suppose 2*x + 3*x - 60 = i. Calculate the remainder when x is divided by 7.
5
Let u(t) be the second derivative of t**5/20 + 7*t**4/12 - 5*t**3/3 + 2*t**2 - 2*t. What is the remainder when u(-8) is divided by 7?
6
Let v(d) = -d**2 - 10*d - 9. Let r(y) = 27*y**3 + y. Let u = 19 - 18. Calculate the remainder when r(u) is divided by v(-6).
13
Let i(f) = 3*f**2 + 5*f - 7. Let u(n) = -7*n**2 - 9*n + 15. Let k(g) = 9*i(g) + 4*u(g). Calculate the remainder when 41 is divided by k(7).
8
Let h(k) be the second derivative of k**3/6 + 3*k**2/2 - 6*k. Calculate the remainder when 45 is divided by h(5).
5
Suppose 669 = 4*g + l, 5*g = 3*g + 3*l + 345. Suppose -3*d = -d - g. Suppose -r - 2*n = 2*r - 64, -4*r = 2*n - d. What is the remainder when r is divided by 11?
9
Let t(d) = 1 - 7*d + 5 - 1. Let g(z) = 6*z - 5. Let m(j) = -5*g(j) - 4*t(j). What is the remainder when m(-4) is divided by 5?
3
Suppose -u + 3*i + 23 = -0*i, i - 3 = -u. Calculate the remainder when 36 is divided by u.
4
Suppose -1 - 38 = -2*y + 3*k, 0 = -y + 5*k + 37. Let j = -51 + 31. Let m = j + 43. What is the remainder when m is divided by y?
11
Calculate the remainder when 43 is divided by (-155)/(-15) - (-2)/3.
10
Suppose i + 5 = 0, 0 = -l + 5*l - 5*i - 53. What is the remainder when 18 is divided by l?
4
Calculate the remainder when 112 is divided by (-4)/(-28) + (-265)/(-7).
36
Let h(z) = -z + 15. Let n be h(12). Suppose 0 = -4*k - n*q + 32, q = 4*k + 2*q - 24. What is the remainder when k is divided by 2?
1
Let k(i) = i**3 + 5*i**2 - 2*i + 5. Suppose 4*r = -2*w + 68, 59 + 13 = 3*w - 4*r. What is the remainder when w is divided by k(-5)?
13
Let u = 18 + -3. Suppose -5*r = q - 23, -r + q = 2*q - 7. What is the remainder when u is divided by r?
3
Suppose 3*f - 56 = -f. Let n(v) = -2*v + 7 + 4*v + 16 + 6. Calculate the remainder when n(12) is divided by f.
11
Suppose -w - 3 = 2*w, 4*f - 3*w - 51 = 0. Calculate the remainder when 33 is divided by f.
9
Suppose 0 = -4*a + 85 + 63. What is the remainder when a is divided by 13?
11
Let t = -20 + -5. Suppose -5*z = 3*v + 106, v + 3*z + 0*z + 30 = 0. Let s = t - v. What is the remainder when s is divided by 6?
5
Suppose -19 = -3*r + 4*o, -2*r - 7*o = -3*o - 46. Let s = 18 - -7. What is the remainder when s is divided by r?
12
Let n(j) = -j**2 - 10*j - 9. Let d(m) = m**2 - 6*m + 3. Let u be d(5). What is the remainder when (52/8)/(u/(-4)) is divided by n(-8)?
6
Let m(l) = 4*l**2 + 4*l + 2. What is the remainder when m(-4) is divided by 332/20 - 4/(-10)?
16
Suppose -5*s - m = -0*m - 57, 4*m = -2*s + 30. Calculate the remainder when 43 is divided by s.
10
Let n(d) = d**2 - 10*d + 1. Let o be n(-9). Suppose 5*q + 43 = g, -4*g + 5*q + o = q. Calculate the remainder when g is divided by 11.
10
Calculate the remainder when -5 + 3 + 2 - -25 - 2 is divided by 9.
5
Let b be 5/1 - (-1 - -1). Calculate the remainder when (-21)/((-2)/8*6) is divided by (b + -2)/((-6)/(-16)).
6
Let m = 11 + -4. Let a(s) be the third derivative of s**4/24 - 4*s**3/3 - s**2. What is the remainder when m is divided by a(11)?
1
Let g = 109 - 84. Suppose -x + 28 = x. Calculate the remainder when g is divided by x.
11
Suppose -5*p = 3*q - 4*p - 42, 4*q + 5*p - 45 = 0. What is the remainder when 66 is divided by q?
6
Calculate the remainder when (564/30)/(3/15) is divided by 24.
22
Suppose 2*i = 3*k + 24, 4*i - k - 15 = 23. Calculate the remainder when 14 is divided by i.
5
Let d = 43 + -33. Calculate the remainder when 66 is divided by d.
6
Let j(o) = -o**3 + 11*o**2 + 9. Suppose 2*v - 7 - 68 = -5*m, 60 = 4*m - 2*v. Calculate the remainder when m is divided by j(11).
6
Suppose -1 = -5*y + 2*h + 43, -2*y - 4*h + 8 = 0. Suppose 8 + y = 4*c. What is the remainder when 5 is divided by c?
1
Suppose -13*w + 14*w = 21. Calculate the remainder when 40 is divided by w.
19
Suppose -12 = 4*p, -p - 3 = -k - 2*p. What is the remainder when 29 is divided by k?
5
Let y(q) = q**2 - 2*q + 2. Let r be y(3). Suppose 0 = 5*p - 3*i - 26 - 155, 0 = r*p + i - 173. What is the remainder when p is divided by (1/(-1))/((-1)/12)?
11
Let s(c) = c - 2. Let l(k) = -k**3 + 3*k**2 + k + 1. Let b be l(3). Suppose 0*t - 2*t = -b. What is the remainder when t is divided by s(4)?
0
Let a = -3 + -7. Let l = 17 + -3. Let g = l + a. Calculate the remainder when 10 is divided by g.
2
Suppose 42 = 4*z - 18. Let q = 32 - z. Calculate the remainder when q is divided by 6.
5
Let p be 2/(-1 + (-1 - 0)). Let s(m) = 7*m**2 + m. Let r be s(p). What is the remainder when 31 is divided by -1 - -15 - (4 - r)?
15
Suppose 3*i - 5*s + 0*s = 34, -3*i - s + 4 = 0. Let t(y) = 6*y**2 - 4*y + 3. What is the remainder when t(i) is divided by 16?
13
Suppose 15 = 2*h + 3. Let s be (-4)/h + (-51)/(-9). Suppose 0 = -b - y + s, 0 = b + 2*y. What is the remainder when 19 is divided by b?
9
Let v(k) = k**3 + 7*k**2 - 3*k - 7. Suppose 4*j - 82 = 2*j. What is the remainder when j is divided by v(-7)?
13
Suppose -3*q + 5*k + 355 = -0*q, q - 5*k - 135 = 0. What is the remainder when q is divided by 37?
36
Suppose 2*i = 12*i - 450. Calculate the remainder when i is divided by 26.
19
Suppose