a) be the first derivative of 5*a**3/3 - 11*a**2/2 - 5*a - 17. Calculate the remainder when 32 is divided by n(3).
4
Let n = 905 - 833. What is the remainder when n is divided by 57?
15
Let u(d) = -d**2 + 7*d + 27. Let f be (-7 + 6)/(1/3). Calculate the remainder when u(7) is divided by 4 - (1 + f - -1).
2
Let q be -1*(-20 + -1 + 4). Suppose 5 = 5*m + 2*v - q, m = 3*v + 1. Suppose 0 = d - 5*d + 44. Calculate the remainder when d is divided by m.
3
Let p(k) = 14*k**2 + 5*k - 5. What is the remainder when 95 is divided by p(1)?
11
Suppose 240 = -14*v + 26*v. Calculate the remainder when 95 is divided by v.
15
Suppose 2*o + 0*n = 4*n + 56, 75 = 5*o + 3*n. Suppose 0 = 5*i - o + 3. Let c = 5 + 3. What is the remainder when c is divided by i?
2
Let d(n) = 61*n + 1. Let c(y) = 3*y - 11. Calculate the remainder when d(2) is divided by c(14).
30
Let d be 18 + -4*1/(-2). Suppose 0 = -3*g + r + 88, g - 5*r = 3*g - 53. Calculate the remainder when g is divided by 90/(-12)*d/(-25).
5
Let v(a) = a**3 - 33*a**2 + 2*a - 57. Calculate the remainder when 38 is divided by v(33).
2
Suppose 3*y = 280 - 109. Let l = y - 22. Calculate the remainder when 169 is divided by l.
29
Let c(s) = s**3 + 7*s**2 + 5*s - 3. Suppose 26*h = 22*h - 24. Let x be c(h). What is the remainder when (x/6)/(3/234) is divided by 10?
9
Let s = 11 + -9. Suppose 2*o - 4 = -2*d, 0 + 13 = 5*o + s*d. What is the remainder when 4 is divided by o?
1
Let y(p) = p**3 - 6*p**2 - 6*p - 2. Let f be y(7). Suppose 0 = -5*l - 4*i + 121, -2*i - 58 = -f*l + 69. Calculate the remainder when l is divided by 10.
5
Suppose -2*u = -19 - 5. Suppose -2*i + u = -0*i. Calculate the remainder when i is divided by 0/4 + 10/5.
0
What is the remainder when 227 is divided by (-63)/(-10) + (-309)/30 + 10?
5
Let u be (0 + 3)/(-1) - -1. Let p(j) = -13*j + 4. Calculate the remainder when 87 is divided by p(u).
27
Suppose j + 17 - 63 = 0. Let l = -2 + 4. Suppose 118 - j = l*t. Calculate the remainder when t is divided by 13.
10
Let h(v) = 2*v**3 - 8*v**2 + 3*v + 1. Let l be h(5). Suppose -g - l = -4*g - 3*d, -2*d = g - 22. Calculate the remainder when 63 is divided by g.
19
Suppose 2*h - 27 = 13. Let a(z) = z**3 + 7*z**2 + 2. Let c be a(-7). Suppose 3*v = -q + 2, 5*q + c - 48 = -3*v. What is the remainder when h is divided by q?
9
Suppose 5*b + 4*j = 636, -2*b + 16 + 216 = -4*j. Calculate the remainder when b is divided by 16.
12
Suppose 8*c + 82 = 354. Calculate the remainder when c is divided by 2.
0
Suppose 563 - 365 = 6*x. What is the remainder when 425 is divided by x?
29
Suppose -222 = -5*u - 5*w + 33, 2*w - 153 = -3*u. What is the remainder when 252 is divided by u?
48
Let j(z) = z**3 - 10*z**2 - 12*z + 13. Let v be j(11). Suppose -g - 5*q = -91, v*g - 3*q = 2*q + 122. What is the remainder when g is divided by 18?
17
Let f(b) = b**3 - 6*b**2 - 5*b + 34. Suppose 2*s + 13 = i - 2*s, 0 = -5*s + 5. Calculate the remainder when i is divided by f(6).
1
Suppose -4*j = -16, -2*a - 2*j + 17 = -23. Let x = -5 + -3. Calculate the remainder when -9*(x/4 + -5) is divided by a.
15
Let f = 3 + -1. Suppose f - 8 = -2*a, 3*q = 5*a + 9. Calculate the remainder when 13 is divided by q.
5
Let l(v) = v + 1. Let a be l(-8). Let t = 11 + a. What is the remainder when t is divided by (-32)/(-28)*(3 + (-5)/(-10))?
0
Suppose 8*o + 15 = 11*o. Let v(u) = u**3 - 4*u**2 - 5*u + 5. What is the remainder when v(o) is divided by 3?
2
Let o = 87 - 59. Suppose h + o = 5*z, 4 = -4*h - 8. Suppose z*k - 44 = k. Calculate the remainder when k is divided by 7.
4
Calculate the remainder when 437 is divided by -7*(-9 - -7) - 3.
8
Let p(b) = b**2 - 2*b - 1. Let x be (68/(-4)*-1)/(-1). Let h = x + 26. Calculate the remainder when p(-5) is divided by h.
7
Suppose 0 = 2*l + 2*p - 100, 4*l + 9 = 2*p + 215. Suppose -248 = -7*x - 59. Calculate the remainder when l is divided by x.
24
Let s = 563 + -489. Calculate the remainder when s is divided by 23.
5
Let t(l) = -l**3 + 5*l**2 - l - 3. Let i(n) = n**2 - 5*n + 2. Let k be i(5). Let m be (2 + k)*1/2. What is the remainder when 41 is divided by t(m)?
6
Let n(o) be the second derivative of 17*o**3 + o**2/2 + 3*o. Calculate the remainder when n(1) is divided by -35*1/(((-75)/(-9))/(-5)).
19
Suppose -g = b + g + 8, -30 = 3*b + 4*g. Let f = b - -29. What is the remainder when 41 is divided by f?
11
Let m(l) be the first derivative of 13*l**3/3 - 3*l**2 - 19*l + 20. What is the remainder when m(-4) is divided by 43?
41
Let m(t) = 5*t - 24. Let c be m(3). Let g = c + 14. What is the remainder when 14 is divided by g?
4
Suppose g - 12 = 1. Suppose -l = -106 + g. Let h = l - 62. What is the remainder when h is divided by 11?
9
Suppose 20*q - 15*q + 10 = a, 0 = -2*a + 5*q + 45. What is the remainder when a is divided by 4?
3
Suppose 4*u = -u + 2*u. Let p(x) = -x**3 - x + 15. Calculate the remainder when 74 is divided by p(u).
14
What is the remainder when (635/10)/((-13)/(-26)) is divided by 23?
12
Let q be 0/(-1)*(-1)/3. Let u be -1 - (1 + q/1). Calculate the remainder when 810/42 + u/7 is divided by 7.
5
Suppose 3*t - 612 = -3*c, 13*c = 2*t + 18*c - 399. What is the remainder when t is divided by 37?
22
Let i be (-1)/(2*2/(-596)). Suppose -169 - i = -4*h - 2*s, 0 = 3*h - 2*s - 249. What is the remainder when h is divided by 23?
12
Let c(b) = -2*b**3 - 7*b**2 - 7*b - 16. Let t(x) = x**3 - x + 1. Let o(p) = -c(p) - 3*t(p). What is the remainder when o(8) is divided by 11?
7
Let a(x) = x**3 - 13*x**2 - 22*x - 104. What is the remainder when 1788 is divided by a(15)?
12
Let t = 31 - 37. Let v be t + 3 + -2 + 4. What is the remainder when (v - 0) + (98 - -17) is divided by 29?
27
Suppose -2*b = -5*l + 15, 0*l + b = 3*l - 8. Calculate the remainder when 2/(l + 100/(-104)) is divided by 20.
12
Let q(g) = 6*g - 1. Suppose 16*r - 28*r + 984 = 0. What is the remainder when r is divided by q(3)?
14
Let n(q) = -q**3 - q**2 + 6. Let k be n(0). Let o(f) = 2*f + 6. Let t = -116 + 151. What is the remainder when t is divided by o(k)?
17
Suppose -w + 0 = -4*q + 1, -4*q = -5*w + 11. Calculate the remainder when 45/(((-4)/(-4))/q) is divided by 8.
5
Suppose 5*m - 50*m + 0*m + 1215 = 0. Suppose -2*b - 46 = -5*l, -14 = -2*l - 0*l + 3*b. Calculate the remainder when m is divided by l.
7
Let s = 871 - 859. Calculate the remainder when 346 is divided by s.
10
Let y be 158/(-6) - 1 - (-128)/(-192). Let i = y - -47. Suppose 3*f + 43 = -0*s + s, 2*s - 114 = -f. What is the remainder when s is divided by i?
17
Let d(y) = -3*y - 32. Suppose -3*s - 85 = 5*f + 2*s, 0 = -2*f - 5*s - 43. Calculate the remainder when 35 is divided by d(f).
5
Let z(i) be the third derivative of i**6/120 + i**5/60 - i**4/12 + 26*i**3/3 + 8*i**2. What is the remainder when z(0) is divided by 18?
16
Let k be (3 - 3)/(0 + -1). What is the remainder when 3 + 0 + 2 + k is divided by 3?
2
Suppose 3 = h - 8. Let v(o) = 3*o + 12. Let w be v(-3). Suppose 0 = 4*c - 16, -c - 136 = -w*p - 2*p. What is the remainder when p is divided by h?
6
Suppose -348 = -34*m + 32*m. What is the remainder when m is divided by 16?
14
Let k(a) = 2*a**3 + 2*a**2 - 3*a + 2. Suppose 0 = 3*d + 2*l - 5*l - 33, 44 = 4*d - 3*l. What is the remainder when k(2) is divided by d?
9
Calculate the remainder when 50 is divided by (5/5)/(((-5)/(-19))/5).
12
Suppose -2*v = 9 + 15. What is the remainder when 60 is divided by (80/v)/10 + 52/6?
4
Suppose 0 = -3*k + 5*v + 533, 2*v + 0*v = -3*k + 568. What is the remainder when k is divided by 38?
34
Suppose 2*f + 11 - 3 = -4*k, -2*f - k = -4. Suppose -f*l = 6 - 38. Suppose -i - 2*i + 45 = 0. What is the remainder when i is divided by l?
7
Suppose -108 = -4*b + 2*r, 2*r - 8 = -2*r. Suppose -4*t + 6 = 3*l, 4*t + 9 = t. What is the remainder when b is divided by l?
4
Let b be ((-8)/4)/(-6)*51. Let z = -26 + b. What is the remainder when 22 is divided by (24/z)/((-6)/27)?
10
Let j = -39 + 22. Let h = 39 + j. Calculate the remainder when (6 + 0)/(1/7) is divided by h.
20
Let n = 82 + 16. Let l = -52 + n. Calculate the remainder when l is divided by 260/22 - (-14)/77.
10
Suppose -3*m + 2*s + 181 = -16, s + 196 = 3*m. What is the remainder when 109 is divided by m?
44
Let n(p) = 6*p + 45. What is the remainder when 39 is divided by n(-4)?
18
Suppose 435*j + 168 = 438*j. Calc