hen 58 is divided by n.
24
Let k(p) = -1 + 2*p**2 + p**2 - 5*p**2 + 25*p + 3*p**2. Let d = 33 - 15. Calculate the remainder when k(-27) is divided by d.
17
What is the remainder when 53 is divided by 4/((-4)/23*(-8)/16)?
7
Let k(t) be the first derivative of -t**4/4 + 7*t**3/3 - 3*t**2 - 7*t - 7. Calculate the remainder when k(5) is divided by 8*(-1 - (-6)/4).
1
Let a(t) = -t**3 - 14*t**2 - 15*t - 24. Let k be a(-13). Suppose 20 = 5*u, -k*u - 16 = -4*h + 120. What is the remainder when 66 is divided by h?
30
Suppose -17 = -2*z + 3. Let n(r) be the third derivative of -r**5/60 + 5*r**4/12 + r**3/2 + 11*r**2. What is the remainder when n(5) is divided by z?
8
Let q = 7 - -46. Suppose -6*b = -215 + q. Let f = -10 + 18. Calculate the remainder when b is divided by f.
3
Suppose -8 = -5*p + 3*m, -32 = -4*p - 0*p - 4*m. Suppose 15 = 2*f + 3*x, -146*f + 141*f + 95 = -4*x. Calculate the remainder when f is divided by p.
3
Suppose -315 + 1067 = 4*k. What is the remainder when k is divided by 56?
20
Suppose -72 = -7*z + 110. What is the remainder when z is divided by 6?
2
Let q = -41 + 30. Suppose 0 = 5*c - 10, c - 34 = 2*w - 2*c. Let m = q - w. What is the remainder when m is divided by 1?
0
What is the remainder when (-1 - 292/12)/((-50)/225) is divided by 6?
0
Suppose -10063 = -7*f - 3805. Calculate the remainder when f is divided by 64.
62
Let r be 31/((-3)/(-6 + 3)). Let u(f) = 11*f**2 + f - 4. Let y be u(2). Let l = y - r. Calculate the remainder when 41 is divided by l.
8
Suppose -3*m - 3*y - 23 - 28 = 0, -4*m - 84 = -4*y. Let q(k) = k**2 + 14*k - 44. Suppose -5*c + 8*c = 81. What is the remainder when q(m) is divided by c?
24
Let c(t) = t**2 - 16*t + 14. Let m(x) = x**2 + 6. Let s be m(3). Let j be c(s). Calculate the remainder when 20 is divided by 2*j - (-1 + -7).
2
Let w be 1*(-10)/(-5) - -1*9. Suppose 9*p - 146 + w = 0. Let v(m) = -7*m**3 - m**2 - 2*m + 1. What is the remainder when v(-2) is divided by p?
12
Let y(c) be the first derivative of -9/2*c**2 - 2 - 2*c. Calculate the remainder when y(-7) is divided by 21.
19
Let m(d) = d + 28. Calculate the remainder when 519 is divided by m(-8).
19
Suppose h + 5 = 3*j - 83, 0 = -3*j + 2*h + 86. Suppose -2*d + 46 = -26. Let o = d - j. What is the remainder when 21 is divided by o?
3
Let a be 1 + (-6)/((-8)/(-4)). Let d(z) = 9*z - 3. Let l be d(a). Let m = -2 - l. Calculate the remainder when 73 is divided by m.
16
What is the remainder when 37 is divided by ((-15)/45)/(1 + (-68)/66)?
4
Let f(a) = 16*a**3 + 2*a**2 + a + 4. Let n be f(-2). Let j = 125 + n. Calculate the remainder when 17 is divided by j.
3
Let f(b) = -2*b**3 - 14*b**2 - 6*b - 21. What is the remainder when f(-9) is divided by 45?
42
Suppose -d + f - 16 + 42 = 0, 2*d - 56 = 3*f. Calculate the remainder when 39 is divided by d.
17
Let v = 51 + -53. What is the remainder when 118 is divided by v/14 + (1 - 324/(-14))?
22
Let r = 3 - 1. Calculate the remainder when 11 is divided by r.
1
Let x(r) = r + 10. Let c be x(-10). Suppose -i - 4*i + 105 = c. What is the remainder when 60 is divided by i?
18
Suppose -41 = 3*c - 212. Let h = -37 + c. Suppose -3*y - 2*y = 2*l - 32, -y + h = -3*l. What is the remainder when 63 is divided by y?
7
Suppose 485 + 295 = 30*k. What is the remainder when k is divided by 12?
2
Let l = 756 + -713. Calculate the remainder when 429 is divided by l.
42
Suppose 21 = -5*h + 151. What is the remainder when 92 is divided by h?
14
Let t = 256 - 159. Suppose 81 = 4*m + q, 3*q - 7*q + 4 = 0. What is the remainder when t is divided by m?
17
Suppose 20*y = 14*y. Suppose n + f - 54 = -0*f, y = 2*n - f - 108. What is the remainder when n is divided by 20?
14
Let r(x) = -2*x - 6. Let f be r(-6). Suppose 5*j = -5, -j = s - 0*s - f. Suppose -s*k - 48 = -11*k. Calculate the remainder when 23 is divided by k.
11
Let d = 60 - 54. Suppose -d*v + 346 = -2*v - r, 0 = -4*v - 4*r + 336. Calculate the remainder when v is divided by 15.
11
Let q(o) = -3*o**2 - 26*o + 37. Let p(v) = 4*v**2 + 26*v - 38. Let s(b) = 2*p(b) + 3*q(b). Calculate the remainder when s(-27) is divided by 4.
0
Let g = -31 + 131. What is the remainder when 24 is divided by (3 + 12/(-5))/(5/g)?
0
Suppose -l + 4*k - 1 + 7 = 0, 0 = l - 2*k - 6. Let x = 755 - 736. Calculate the remainder when x is divided by l.
1
Suppose 81 = -4*f + f. Let p be 4 + (6 - 1) + -5. Calculate the remainder when (-75)/f - p/(-18) is divided by 1.
0
Suppose -4*b - 3*y = -y + 374, 4*b + 356 = 4*y. Let p = 96 + b. What is the remainder when 20 is divided by p?
0
Let a(i) = i + 28. Suppose 4*o - 29 = -2*y + 3, y - o - 1 = 0. Calculate the remainder when a(-5) is divided by y.
5
Suppose 201 = 9*l - 6*l. What is the remainder when l is divided by 17?
16
Let v(b) = -3*b - 28. Let w be v(-12). Let a(p) = -p**2 + 10*p + 3. Calculate the remainder when 54 is divided by a(w).
16
Let t(j) = j**2 - 3. Let v be -2*(0 - 2)*-1. Let d be 0 - (-7 - v/1). Calculate the remainder when 16 is divided by t(d).
4
Let z(q) = -6*q - 18. What is the remainder when z(-36) is divided by 62?
12
Let x be (-4)/6 + 118/6. Let j(k) = k - 18*k**2 - 5 + k + x*k**2. What is the remainder when j(-5) is divided by 4?
2
Suppose 27*i = 31*i - 64. Suppose -33 = 4*u + 31. Let k = u - -62. What is the remainder when k is divided by i?
14
Let j(n) = -64*n - 60. Calculate the remainder when j(-3) is divided by 38.
18
Let f = -21 + 29. Let x be (35/21)/((-2)/30). Calculate the remainder when f is divided by 1/2 + x/(-10).
2
Let l(o) = -o**2 - o + 5. Let x be l(0). Suppose 3*y + 70 = x*y. Let f(c) = -2*c + 27. Calculate the remainder when y is divided by f(9).
8
Suppose -108*b = -107*b + 24. Calculate the remainder when 23 is divided by (126/b)/((-3)/8).
9
Suppose -5*p + 7*p - 12 = 0. Suppose 23 = 2*n + 3*o, 17 = -2*n - o + p*o. Suppose 0 = -0*s + n*s - 28. What is the remainder when 26 is divided by s?
5
Let w(q) = q**3 + 17*q**2 - 8*q - 72. Calculate the remainder when 124 is divided by w(-17).
60
Let j = 1307 - 1164. What is the remainder when j is divided by 48?
47
What is the remainder when -13 - -10 - (-89 + 4) is divided by 3/2*1*8?
10
Let a = -265 + 519. Suppose a = 18*m - 16*m. Suppose 0 = 3*b + s - 149, -4*b + 93 = -4*s - m. Calculate the remainder when b is divided by 26.
25
Suppose 0 = 15*l - 7*l + 24. Calculate the remainder when (51/1)/(l/(-2)) is divided by 19.
15
Suppose -30*d - 1284 = -24*d. What is the remainder when ((d/5)/2)/((-3)/15) is divided by 28?
23
Suppose 0 = 4*r - m - 166, -r + 136 = 2*r + 5*m. What is the remainder when 124 is divided by r?
40
Suppose h + 3*f - 53 = -2*f, -5*h - 4*f + 265 = 0. Let x = 98 - h. What is the remainder when 177 is divided by x?
42
Let k be (0 + -1)/((-693)/(-140) - 5). Calculate the remainder when 152 is divided by 15/k*-2*-26.
35
Let k(r) = r**2 - 12*r + 1. Suppose 0 = -3*z - 1 + 7. Calculate the remainder when z is divided by k(12).
0
Suppose -3*p = -8*l + 6*l + 118, 5*l - 345 = -5*p. What is the remainder when l is divided by 11?
10
Suppose 4 = 2*a - 3*t, 0*a - 4*a + 2*t = -8. Suppose 4*o = 20, l = a*o - 6*o + 22. Suppose -l*x - x + 147 = 0. Calculate the remainder when x is divided by 13.
10
What is the remainder when 57 is divided by ((-8)/(-6))/((-8)/(-60))?
7
Suppose 2*h + 3*r = 15, -6 = -3*h + r - 0. Let a(y) = -67 + 8*y**2 + 11*y - h*y**3 + 2*y**3 + 57. What is the remainder when 12 is divided by a(9)?
4
Let n(t) = -14*t + 106. Suppose 0 = -2*w + 6 + 2. Suppose -j + 13 = -w. Calculate the remainder when n(4) is divided by j.
16
Suppose -2*x + 294 = x. Calculate the remainder when x is divided by 20.
18
Let n(x) = -x**3 + 13*x**2 - 9*x - 11. Suppose -u + 4 = -8. What is the remainder when n(u) is divided by 7?
4
Suppose 4*u = -3*i + i - 90, 0 = 4*i - 12. Let o = -14 - u. What is the remainder when 25 is divided by o?
5
Suppose 8*z = 4*r + 7*z - 389, -2*z = 3*r - 289. Calculate the remainder when r is divided by 40.
17
Let q(u) = 14*u - 48. Calculate the remainder when 47 is divided by q(4).
7
Suppose -5*j + 82 = -4*j. Suppose 5*h - z = j, 2*h + 13*z = 8*z + 49. Suppose k - 50 + 1 = 0. Calculate the remainder when k is divided by h.
15
Suppose 5*j - 4*d - 109 = -3*d, 3*d - 3 = 0. Let z(c) = c**2 - 2*c + 65. What is the remainder when z(0) is divided by j?
21
Let j(i) 