ivative of 17*p**4/24 - p**3/6 - p**2. What is the remainder when d(1) is divided by 6?
4
Let x = 72 + -43. Suppose -3*l + x = -19. Calculate the remainder when 31 is divided by l.
15
Suppose -j = -2*b - 10, -2*j = -j - 4*b - 20. Suppose j = 2*c - i - 7, 5*c - 2*i = 3*c + 4. Calculate the remainder when 18 is divided by c.
3
Suppose -i - 44 = -4*g, 4*i - 49 = -5*g + 6. What is the remainder when 19 is divided by g?
8
Let b(t) = 3*t - 6. Let o be (-71)/(-2) - (-2)/(-4). Suppose -5*k - 10 + o = 0. Calculate the remainder when b(5) is divided by k.
4
Let o be 57 - 2/(-1) - -2. Suppose 0 = -2*f + 3*f - o. What is the remainder when f is divided by 21?
19
Suppose 4*i - 4*t - 8 - 32 = 0, 0 = 5*t + 10. Let s(h) = 2*h**2 + 6*h - 6. What is the remainder when s(-5) is divided by i?
6
Suppose 301 = 16*d + 77. Suppose 5*p - 16 = 24. What is the remainder when d is divided by p?
6
Suppose 5*f = -5*o + 155, 2*o - 6*o + 8 = 0. What is the remainder when 101 is divided by f?
14
Suppose 7*q - 4*q = 0. Suppose -d + q*d = -h - 7, -2*h = 5*d - 63. What is the remainder when 31 is divided by d?
9
Let d be 3 - (-2 + 0 + 5). Suppose d = -k + 38 + 23. Let j = 7 + 14. What is the remainder when k is divided by j?
19
Suppose -5*b + 2*o - 7 = -23, 4*o + 10 = -b. Suppose 0 = -0*g + 3*g, -3*a = 3*g - 12. Suppose -4*n + 4 = -a. What is the remainder when n is divided by b?
0
Let x = -22 - -34. Let h(t) = t + 10. Let d be h(-5). Suppose -3*g + 81 = 4*i, 2*g + 0*i - 31 = d*i. What is the remainder when g is divided by x?
11
Let r be (-32)/6*-1*51. Let t = r + -117. Suppose -4*j = -3*u + 140, 3*j + 41 = 4*u - t. Calculate the remainder when u is divided by 18.
16
Suppose 151*a + 120 = 155*a. Calculate the remainder when 119 is divided by a.
29
Calculate the remainder when 91 is divided by (-468)/(-10) - (-8)/40.
44
Let q(h) = -6*h**2 - 9*h - 1. Let k(m) = -7*m**2 - 10*m - 1. Let j(g) = -5*k(g) + 6*q(g). Calculate the remainder when j(-3) is divided by 1.
0
Let p(l) = l**2 + 2*l + 4. Let u = 2 + -5. Suppose 1 + 1 = k. What is the remainder when p(u) is divided by k?
1
Let v = -8 + 84. What is the remainder when v is divided by 20?
16
Let c = -7 - -9. What is the remainder when 7 is divided by c?
1
Let c be 1/(-2) + 75/6. Suppose 6*o - 2*o = -c. What is the remainder when -2*o/(-3) + 16 is divided by 5?
4
Suppose 4*z = 9 + 11, x = -z + 7. Suppose -2*r - 4*p + p + x = 0, r - 4*p - 12 = 0. What is the remainder when (-104)/(-10) + 2/(-5) is divided by r?
2
Let z = 8 - 6. Suppose 3*p + 87 = -3*n + 18, -z*p - 42 = -2*n. What is the remainder when 31 is divided by (-348)/p - (-16)/88?
15
Suppose 0 = -92*l + 88*l + 200. Suppose 10*b = 5*b - r + 70, 2*b = -r + 31. Calculate the remainder when l is divided by b.
11
Suppose 7 = 2*y - 69. Calculate the remainder when 100 is divided by y.
24
Let g(a) = -3*a - 2. Let d be g(-2). Suppose 4*l = -0 + d. What is the remainder when l is divided by (-1 - -2)*0 + 1?
0
Suppose -3*i + 5*x - x = -31, 2*x + 20 = 2*i. What is the remainder when i is divided by 7?
2
Let q(p) = 2*p**2 + 2*p + 4. Let r be q(-3). Let m = r - 13. Calculate the remainder when m is divided by 1.
0
Let z be (-237)/9 + (-4)/6. Suppose -13 = 5*j + 57. Let x = j - z. Calculate the remainder when x is divided by 5.
3
Suppose 3*i - 16 = 2*i. Suppose -3*r = 2*x - i, 0 = -r - r + 2*x + 24. Calculate the remainder when 13 is divided by r.
5
Let i = 7 + -23. Let m = i - -27. What is the remainder when 32 is divided by m?
10
Let b(p) be the second derivative of 2*p**4/3 + p**3/3 - p**2/2 - p. Let u be b(1). Let d = u + -4. Calculate the remainder when d is divided by 3.
2
Let k = 42 + -19. Calculate the remainder when k is divided by 13.
10
Let w = -3 - -10. Suppose 3 = -3*m + 9. Suppose m*a = 18 + 6. What is the remainder when a is divided by w?
5
Let x be ((-10)/(-25))/(1/(-10)). What is the remainder when (-153)/(-6) - (-2)/x is divided by 7?
4
Suppose -i - 4*t + 2*t = -93, -3*i - 3*t = -282. What is the remainder when i is divided by 16?
15
Let k(x) = -x**3 + 7*x**2 - 5*x + 5. Let p be 7/((-14)/(-16)) - 3. Calculate the remainder when k(p) is divided by 16.
14
Calculate the remainder when (-1)/((-2)/(222/3)) is divided by 10.
7
Suppose -2*a + 4 + 0 = 0, -t = a - 56. What is the remainder when t is divided by 11?
10
Suppose 2*g + g = 51. Suppose 3*z - g = 31. Suppose 0 = 3*a + z - 43. What is the remainder when a is divided by 4?
1
Let l = 175 + -245. What is the remainder when 1 + (l/2)/(-1) is divided by 19?
17
Let m = -10 - -29. Let c(d) = -2*d + 8. Let x(l) = -l + 3. Let n(t) = 2*c(t) - 7*x(t). What is the remainder when m is divided by n(4)?
5
Suppose 0 = 4*b + 358 - 22. Calculate the remainder when ((-10)/6)/(4/b) is divided by 12.
11
What is the remainder when 72 is divided by 15*(4 + -3 + 0)?
12
Let m(v) = 3*v**2 - 2*v + 7. Let h be 3/(-6)*(3 - 33). Calculate the remainder when m(3) is divided by (h/(-12))/((-1)/8).
8
Suppose 0 = -3*z + 4*x + 4, 5*z = -0*z + x + 18. Suppose d - z*i = 18, -7 = -3*d - 3*i + 2. Calculate the remainder when d is divided by 2.
0
Let c(t) = -t**2 - 21*t - 53. Calculate the remainder when 105 is divided by c(-16).
24
Let y(p) = -5*p**3 + p**2 - 7*p. Let m be y(-3). Suppose -3*t - 3*g + m = 0, -t - 1 = -2*g - 56. What is the remainder when t is divided by 14?
13
Let g(k) be the third derivative of k**4/8 - 8*k**3/3 - 3*k**2. What is the remainder when 33 is divided by g(11)?
16
Suppose l = -3*l + 16, 3*h = -2*l + 155. What is the remainder when h is divided by 27?
22
Suppose 3*i - 79 = 2*p - 4*p, -3*i - 5*p = -85. What is the remainder when 93 is divided by i?
18
Suppose 4*m + 20 = x, 7 = -m + 6. What is the remainder when 140 is divided by x?
12
Let c = -15 - -26. Let l(a) = 2*a + 18. What is the remainder when l(12) is divided by c?
9
Suppose -6*v + v = -115. Calculate the remainder when 90 is divided by v.
21
Let m(s) = -3*s - 11. Calculate the remainder when 45 is divided by m(-9).
13
Suppose x = 3*k + 72, -4*x = 3*k - 412 + 139. Suppose -13*u + 11*u = -48. Calculate the remainder when x is divided by u.
21
Suppose 3*n + 2*n - 35 = -5*v, -4*n = v - 22. What is the remainder when 7 is divided by v?
1
Let h = 94 + -41. Calculate the remainder when 104 is divided by h.
51
Let w(q) = q + 6. Let n be w(-4). Suppose -n*c + 74 = 28. What is the remainder when c is divided by 8?
7
Suppose -4*d - 16 = -4*o, -5*o + 2*o = d - 28. Let n = 49 + -35. Calculate the remainder when n is divided by o.
6
Suppose 5*a + 42 - 3 = 4*b, -4*a = -4. Let v = 18 + -13. What is the remainder when b is divided by v?
1
Let f be (-3)/6*(-356)/2. Suppose -3*i - 2*r = -42, 5*i + 3*r = 6*r + f. What is the remainder when 31 is divided by i?
15
Suppose -2*j - 138 = -2*o, -276 = -0*o - 4*o + 3*j. What is the remainder when o is divided by 10?
9
Let r(a) = -a**3 + 9*a**2 - 6*a - 10. Let l be r(8). Let n = l - 12. What is the remainder when -3 + 14/n*-3 is divided by 2?
0
Suppose 3*s + 4*a - 5 + 15 = 0, a + 5 = -2*s. Let u be (-16)/(-4) + s + 1. Let z(b) = 2*b**3 - 3*b**2 - b - 2. What is the remainder when z(u) is divided by 8?
6
Let w(s) = 5*s**3 + s**2 + s - 1. Suppose -2*a + f + 19 = 6*f, f = -2*a + 7. Let o = -1 + a. What is the remainder when 16 is divided by w(o)?
4
Let n(q) = -6*q - 26. What is the remainder when n(-14) is divided by 12?
10
Let t = 16 - -3. Suppose 2*w = a + 3, -3*w + 4 = 4*a - 17. Suppose -5*v - 5*x + 195 = 0, 4*x - 49 = w*v - 145. What is the remainder when v is divided by t?
17
Let w(y) = -y**3 + 16*y**2 + 2*y - 17. Let c(u) = -u**3 + u + 29. What is the remainder when c(0) is divided by w(16)?
14
Suppose -3*w = -h - 8, -2*h + 6*h + 3*w = 13. What is the remainder when h is divided by 1?
0
Let x(d) = 5*d**2 - d + 1. Let a(s) = -s + 1. Let t be a(-2). Let l(z) = -16*z - 1. Calculate the remainder when x(t) is divided by l(-1).
13
Calculate the remainder when 146 is divided by (5 + (-280)/21)/(1/(-6)).
46
Calculate the remainder when 42 is divided by 10 + (-5 + 6)*2.
6
Suppose 0 = -3*u + 2*w, -u - w = u - 7. Suppose -5*s = -u*s - 3. Let n = -4 - -5. What is the remainder when n is divided by s?
0
Let r(z) = -11*z - 4. Suppose 4*j - 9 - 3 = 0. Let f(w) = -22*w - 9. Let q(o) = j*f(o) - 7*r(o). Calculate the remainder when 35 is divided by q(1).
11
Let i 