n(p) = -9*p**3 + 2*p**2 - 1. Let o(h) = -h**3 + h**2 - h - 1. Let c(j) = n(j) - o(j). What is the remainder when 21 is divided by c(-1)?
5
Suppose -35 = -6*y + 49. Calculate the remainder when 138 is divided by y.
12
Suppose 2*u - 2*i - 106 = -22, -5*u + 2*i = -222. Calculate the remainder when u is divided by 14.
4
Let h(q) be the third derivative of -q**6/60 + q**5/60 + q**3/6 - q**2. Let b be ((-20)/(-10))/(1 + -2). What is the remainder when h(b) is divided by 11?
10
Let k be -2 - -3 - (-3 + -39). Let s = k + -2. Suppose -18 = 3*v - 4*v - 3*j, -5*j - 110 = -5*v. Calculate the remainder when s is divided by v.
20
Let n(v) = 2*v**2 + 2*v + 1. Let d be n(-1). Calculate the remainder when 14 is divided by 12/2 + (0 - d).
4
Let x(b) = 4*b + 15. What is the remainder when x(12) is divided by 22?
19
Let i be -1 + 165/(12/4). Suppose -56 = -4*h - 4*w, 7*h - 3*w - i = 2*h. What is the remainder when 21 is divided by h?
9
Let y(a) = 2*a**3 + 8*a**2 - 3*a - 13. Let g(l) = -3*l**3 - 17*l**2 + 5*l + 26. Let f(w) = 3*g(w) + 5*y(w). Calculate the remainder when 23 is divided by f(11).
10
Let d(w) = -2*w - 13. Let y be d(0). Let n = -25 + 52. Let s = n + y. What is the remainder when 26 is divided by s?
12
Suppose 123*m = 124*m - 49. What is the remainder when m is divided by 17?
15
What is the remainder when (14/(-10)*-6)/((-23)/(-230)) is divided by 22?
18
Let c(m) = 31*m + 0*m**2 + 6 - m**2 - 37*m. Calculate the remainder when c(-5) is divided by 4.
3
Let l(n) = -n. Let d(h) = 2*h**2 + h - 5. Let y(k) = d(k) + 5*l(k). What is the remainder when 668/16 - 2/(-8) is divided by y(4)?
9
Let a = 0 - -12. What is the remainder when (27/a)/(2/8) is divided by 3?
0
Suppose -3*o = 4*a - 112, -6*a + 2*a - 2*o + 108 = 0. Suppose 3*i = 3*m + 54, 5*m + 26 = 2*i - a. What is the remainder when 51 is divided by i?
12
Let s(n) = 5*n - 34. What is the remainder when s(15) is divided by 15?
11
Suppose -3*m + 6 = -27. Let p(o) = -o**3 + 3*o**2 - 2*o - 3. Let t be p(3). Let y(i) = -i**2 - 11*i + 13. Calculate the remainder when y(t) is divided by m.
9
Let m = -134 + 150. What is the remainder when 40 is divided by m?
8
Let m be (-3)/15 + 21/5. Suppose -2*o - m*h - 20 = -o, -3*h = -o + 15. Suppose o = 5*b - 284 - 51. What is the remainder when b is divided by 23?
21
Suppose 6*h = 335 + 169. Let y = h - 58. Calculate the remainder when 75 is divided by y.
23
Let v be (28/12 - 2)*-9. What is the remainder when 21 is divided by ((-22)/v)/((-6)/(-9))?
10
Let k(o) = o**2 - 6*o - 6. Let s = -1 + 9. What is the remainder when 49 is divided by k(s)?
9
Suppose -5*p + 3*y = -15, 3*p - 5*y - 3 = 2*p. Suppose 0*b - 39 = -p*b. Calculate the remainder when 27 - (1 + 1 + 0) is divided by b.
12
Let c be 9/(-2)*(-3 + 1). Suppose -g = 3*a + 2*g + c, 5*a + 7 = -3*g. Suppose -a + 16 = 5*t. What is the remainder when 4 is divided by t?
1
Let z be (-4)/(-4) - 3*12. What is the remainder when -4 - -4 - (z - 0) is divided by 18?
17
Let z(l) = 6*l + 21. Suppose -5*w + 0 = -10. Suppose -w*i = -0*i + 5*g - 42, -4*i - g = -102. What is the remainder when i is divided by z(-2)?
8
Let n(a) = 3*a + 7. What is the remainder when (2 + 62)/2 - 2 is divided by n(3)?
14
Suppose 3*y + 72 = 7*y. Let r = -54 - -64. What is the remainder when y is divided by r?
8
Suppose 4*o - 123 = -o - 3*h, -5*h = -o + 47. What is the remainder when o is divided by 15?
12
Calculate the remainder when 28 is divided by ((-20)/(-14))/(2/14).
8
Let f = 57 + -22. Let s be 8/3*3/2. Suppose 0 = -5*h + 4*a + 47 + 25, -s*a = -4*h + 60. What is the remainder when f is divided by h?
11
Let s = 3 + 0. Suppose -90 = -s*f - 4*g - 18, 5*g + 65 = 4*f. Suppose -4*z = z - 35. Calculate the remainder when f is divided by z.
6
Suppose 0 = 3*u - 33 - 102. Calculate the remainder when u is divided by (-1 - 1)*(-1)/4*32.
13
Let v(t) = 21*t - 29. Let p(k) = 5*k - 7. Let l(m) = -9*p(m) + 2*v(m). Let i be l(-4). Let b = i - 10. What is the remainder when 19 is divided by b?
5
Let k be -1 - (-4)/(2 - -2). Suppose -4*a - 2*x + 52 = k, -3 + 4 = -a + 3*x. What is the remainder when 21 is divided by a?
10
Let x(z) = 2*z + 6*z + 2*z**2 - 6 - 2*z. What is the remainder when 53 is divided by x(-5)?
11
Let l(d) = -4*d - 6. Let w be l(-5). Let r = 22 - w. Suppose 3*j + j = r. Calculate the remainder when 2 is divided by j.
0
Let o = 252 - 163. Suppose -13*a + 10*a = -69. Calculate the remainder when o is divided by a.
20
Suppose 0 = -4*i + 4*m - 12, -4*i - 4*m = 4 - 16. Let w = 5 + i. What is the remainder when (-38)/(-5) + (-2)/(-5) is divided by w?
3
Let m = -1 - -10. Suppose -4*f + 21 = 1. Calculate the remainder when m is divided by f.
4
Let b = -5 + 3. Calculate the remainder when (b + -46)/(-2) - 0 is divided by 9.
6
Let d be 2/(-9) + (-244)/36. Let h(k) = -k**3 - 7*k**2 - k - 1. Suppose 0 = 2*y - 6 - 2. What is the remainder when h(d) is divided by y?
2
Suppose 5*n = 4*s + 82, n + 2*s = 5*s + 23. What is the remainder when n is divided by 5?
4
Let m(p) be the second derivative of p**5/40 - p**4/6 + p**3/6 + p. Let j(d) be the second derivative of m(d). What is the remainder when 8 is divided by j(3)?
3
What is the remainder when 91 is divided by 23/(4 - 35/10)?
45
Suppose -63 = -4*d + 3*r, 5*d + 2*r - 53 = 20. Suppose 23 - d = 4*c. Calculate the remainder when 7 is divided by c.
1
Let t(m) = -m**3 - 4*m**2 - m - 13. Calculate the remainder when 81 is divided by t(-5).
13
Suppose 5*y - 3*m - 248 = 0, 0 = -2*y + m + 3*m + 88. Calculate the remainder when y is divided by 9.
7
Calculate the remainder when (2/(-5))/((-3)/60) is divided by 5.
3
Let o(t) be the second derivative of t + 5/6*t**3 - 1/12*t**4 + 0 + 3/2*t**2. What is the remainder when 19 is divided by o(4)?
5
Let i = -40 + 48. What is the remainder when (2/(-3))/(4/(-132)) is divided by i?
6
Suppose 2*h - 36 = -5*f - 2, -f = 2*h - 2. Calculate the remainder when 30 is divided by f.
6
Suppose j - 23 = 2*l, 2*j + l - 64 = 7. Calculate the remainder when j is divided by 6.
3
Suppose 0 = -0*a + 5*a - 20. Let i be (1 - 2)/1 - -1. What is the remainder when a is divided by i - (-6 - (-2 + -1))?
1
Let y(f) = -f**3 + 12*f**2 + 14*f + 12. Calculate the remainder when 97 is divided by y(13).
22
Let l(z) = 4*z**2 - 2*z - 1. Suppose -2*t + 3 - 5 = 0. Calculate the remainder when 18 is divided by l(t).
3
Let b(n) = -n**3 + 6*n**2 - 4*n + 5. Let i be b(4). Let j = i + -10. Calculate the remainder when 43 is divided by j.
10
Suppose 0*v = -4*v + 576. Suppose -2*c + 0*p + 3*p + 50 = 0, 0 = -5*c - 2*p + v. What is the remainder when c is divided by 0 - ((-1 - 0) + -9)?
8
Let p = -1 - -3. Suppose p*t = 3*v + 25, 0 = 5*t - v + 10 - 53. What is the remainder when 14 is divided by t?
6
Suppose 6*o - 44 = 2*o. Let f = 6 - 3. Let u = f + 28. What is the remainder when u is divided by o?
9
Suppose -v = -4*x + 37, -3*v - v = -12. Suppose 0*g = -3*g + 18. Let n = g + x. Calculate the remainder when n is divided by 9.
7
Let o be 4/14 - 6/21. Suppose 5*k + 3*w - 124 = o, 3*k - w - 112 = -2*k. Calculate the remainder when 0/(-3) + k - 0 is divided by 8.
7
Let p(i) = i**2 - 38*i + 57. What is the remainder when 74/(-6)*(-3 - 0) is divided by p(37)?
17
Let v(j) = -5*j**3 + j**2 + 2*j - 1. Let y be v(-2). Suppose 2*d = -d - y. Let x = 10 - d. What is the remainder when x is divided by 8?
7
Suppose -17*g = -5*g - 156. Calculate the remainder when 21 is divided by g.
8
Suppose z - 21 = 3*l - 8, 13 = z + 2*l. Calculate the remainder when 76 is divided by z.
11
Suppose d - 5 = -3. What is the remainder when 23/5 + (-3)/5 is divided by d?
0
Suppose -3*n + 36 = 3*c, 0*c + 5*n = c - 42. What is the remainder when c is divided by 10?
7
Suppose -3*h - 30 = -d, -5*d + 190 = 6*h - h. Calculate the remainder when d is divided by 14.
8
What is the remainder when 81 is divided by (((-42)/(-8))/3)/((-3)/(-48))?
25
Suppose 3*s - g = 5*s - 73, -4*s = -5*g - 139. Calculate the remainder when 68 is divided by s.
32
Let g = 6 + -5. Let m(l) = 0 - 3*l - 2*l**2 - 5 + 3*l**2 - 4*l. Calculate the remainder when m(8) is divided by g.
0
Suppose s + 0*s - 13 = 0. Suppose -4*i = -102 + 26. Suppose -3*j + u = 3 - 25, 0 = -3*j - 2*u + i. What is the remainder when s is divided by j?
6
Suppose p + 0*p = 4. Let j be (-22)/(-143) - (-4)/(-26). Calculate the 