et a(o) = o**3 - 16*o**2 + 20*o - 68. Calculate the remainder when 60 is divided by a(15).
4
Suppose -7*y + 7 = -0. Calculate the remainder when 29 is divided by (y + 0)*(3 + 9 + -2).
9
Calculate the remainder when 1040/(-1456) - 19164/(-7) is divided by 20.
17
Let z(n) = n**2 + 8*n - 15. Let p be z(-17). Suppose 0*t - 2*t = -p. Calculate the remainder when t is divided by 18.
15
Let g be (-2)/(-11) - 10/55. Suppose -4*x + 4 = g, 0 = -4*l - 4*x + 49 + 31. What is the remainder when l is divided by 5?
4
Let g(n) = -2*n**3 + 34*n**2 - 41*n + 147. What is the remainder when 456/15 - 6/15 is divided by g(16)?
0
Suppose 300 = 2*x + x. Let i = 404 - 378. What is the remainder when x is divided by i?
22
Let y = -84 + 117. Suppose c = 3*g + 15 + 6, 2*c + g - 7 = 0. What is the remainder when y is divided by c?
3
Suppose -1462*k - 948 = -1468*k. Calculate the remainder when k is divided by 10.
8
Let x(h) = -h. Calculate the remainder when 51 is divided by x(-9).
6
Let l(v) = -v**3 + 3*v**2 + 3*v. What is the remainder when 34 is divided by l(3)?
7
Suppose 3*y = 2*o + 65, 99 = 5*y + 2*o - 3*o. Suppose 13*n + 342 = y*n. Calculate the remainder when n is divided by 31.
26
Let o(i) = i - 4*i - 9 - 10. Suppose b + p = -10, 3*p = 2*b - 0 + 10. Calculate the remainder when 18 is divided by o(b).
3
Suppose 3*c - 190 = -3*g - 2*g, 0 = c + g - 62. What is the remainder when c is divided by 16?
12
Suppose -h - 109 = -109. Calculate the remainder when 30 is divided by h + (-5 - (-2 - 27)).
6
Suppose -h + 575 = 4*h. What is the remainder when h is divided by 29?
28
Let x be 240/(-9)*(12/(-2) + 3). Let o = 139 - x. What is the remainder when o is divided by 21?
17
Let l(x) = x**3 - 3*x**2 + 2*x + 4. Calculate the remainder when l(5) is divided by (5 - 7)*(-184)/16.
18
Let t = 123 - 80. What is the remainder when 171 is divided by t?
42
Suppose 2 = 2*y - 8. Suppose 0 = 2*d - 3*d + y. Suppose -m - d*s + 68 = m, -3*s - 45 = -m. What is the remainder when m is divided by 14?
11
Let y(k) = -k**2 - k - 1. Let n(u) = u**3 - 12*u**2 + 5. Let z(t) = n(t) - 3*y(t). What is the remainder when z(9) is divided by 10?
5
Let w(b) = b**3 - 5*b**2 + 2*b + 4. Suppose 4*v - 19 = m, -m + 1 = 2*v - 4. Let k be w(v). What is the remainder when 58 is divided by (k - -1)/3 - -16?
13
Suppose 0 = -33*q + 39*q - 126. Calculate the remainder when 311 is divided by q.
17
Suppose c = -8*c + 801. Let v = c - 72. Suppose 0 = -0*q + 3*q - 18. Calculate the remainder when v is divided by q.
5
Suppose 12*x - 8*x = 8. Suppose 24*w = 51 - 3. Calculate the remainder when x is divided by w.
0
Let r = -6 - 15. Let b = r + 31. What is the remainder when 13 is divided by (9 - b)/((-2)/8)?
1
Let x(t) = -t**2 + 5*t + 21. Let c(b) = 8*b**2 + 2*b - 1. Let f be (-3)/2 - 3/6. What is the remainder when c(f) is divided by x(7)?
6
Let s be ((-5)/(-10))/(1/(-2))*-2. Suppose 0 = -2*u + s + 20. Let c(n) = n**2 + 4*n - 2. What is the remainder when u is divided by c(-5)?
2
What is the remainder when 19 is divided by (-80)/(-30)*-15*1/(-4)?
9
Suppose 0 = -5*y + 4*y + 4*p + 652, 0 = -4*y + p + 2533. What is the remainder when y is divided by 25?
7
Let s(k) = -k**2 + 7*k + 23. What is the remainder when 134 is divided by s(7)?
19
Suppose -4*d = 646 + 318. Let z = d - -391. Suppose -2*g = -2*n - 78, -2*n = g + 3*g - z. What is the remainder when g is divided by 10?
8
Let k = -585 + 832. What is the remainder when 1*2*k/26 is divided by 7?
5
Let c(g) = g - 1. Suppose -2*p = -3*x + 10, -11*p + 26 = 3*x - 9*p. Calculate the remainder when x is divided by c(5).
2
Let o(k) = -k**3 - 2*k**2 + 4*k - 5. Let h be o(-4). Suppose 3*x = 4*w - 11, 2*w - 5*x + 25 = 4*w. Let z = h - w. What is the remainder when 16 is divided by z?
4
Let g be -3*1/(9/(-15)). Suppose -g*f - 4*d + 114 = 0, 0*d = -f + 3*d + 19. What is the remainder when f is divided by 13?
9
Let k = 16 - 16. Let z(r) = -r + 9. Let b be z(8). What is the remainder when 35*(k + 1/b) is divided by 18?
17
Calculate the remainder when 6 - 9/((-90)/1840) is divided by 61.
7
Let l be ((-4)/(-6))/(5 + (-778)/156). Suppose 3*k = -16 - 77. Let f = k + l. Calculate the remainder when f is divided by 6.
3
Let y(s) = s**3 - 32*s**2 + 33*s + 63. What is the remainder when y(31) is divided by 18?
17
Suppose -11661 = -9*l - 30*l. What is the remainder when l is divided by 102?
95
Let b(n) be the second derivative of n**4/12 - 11*n**3/6 + 6*n**2 + 8*n. Let w be b(13). Calculate the remainder when 15 is divided by ((-8)/10)/(w/(-285)).
3
Suppose -b - 12 = -7*b. Suppose 0 = -2*d + w + 1, 0 = 3*d - 2*w - 3*w + b. What is the remainder when d is divided by 1?
0
Suppose -2*m + 10 = -16. Suppose -3*p + 14 = -16. Suppose p = 2*l - 38. Calculate the remainder when l is divided by m.
11
Let l be (-19)/(-114) + (-2)/12. Suppose -2*f - 244 = -5*d + 322, l = 2*d + 5*f - 209. Calculate the remainder when d is divided by 23.
20
Suppose -m = -5*d + 4507 + 763, 0 = d + 4*m - 1054. Calculate the remainder when d is divided by 33.
31
Suppose 5*x = -x + 6. Calculate the remainder when x/(((-2)/56)/((-3)/6)) is divided by 8.
6
Suppose 3*a + 0*y - 290 = -2*y, 0 = 3*a - 5*y - 325. What is the remainder when a is divided by 15?
10
What is the remainder when 294 is divided by (-374)/(-10) + 22/(-55)?
35
Suppose -d = -4*n - 308, 3*d + 2*d + n - 1477 = 0. What is the remainder when d is divided by 100?
96
Let s(n) = -166*n - 2. Let d be s(-2). Suppose 2*r + 3*i - d = -r, -454 = -4*r + 3*i. Calculate the remainder when r is divided by 29.
25
Suppose -7*c + 4*c + 30 = 0. Let o be 3 - 33/(-6)*2. Suppose -5*n = -2*m - o, 0 = -m - 0*m + 3. Calculate the remainder when c is divided by n.
2
Let g = 134 - 114. What is the remainder when 139 is divided by g?
19
Let o = -14 - -14. Suppose o = -3*h - 2*h + 25. Suppose 265 - 108 = 3*p - 4*g, -h*g = 3*p - 175. What is the remainder when p is divided by 14?
13
Suppose 1180 = 10*w - 60. Suppose 1096 - w = 12*r. Calculate the remainder when r is divided by 17.
13
Suppose -6*y = -12*y + 114. Let q = 61 - 26. Suppose 3*u = -2*u + q. What is the remainder when y is divided by u?
5
Let q be (-7 - -10) + (0 - 0). Suppose 54 = q*d + 3*d. What is the remainder when d is divided by 6?
3
Let v(c) = c**3 - 4*c**2 - 5*c + 5. Let y be v(5). Suppose 5*h = -5*s + 140, 3*s - 2*s + y = 0. What is the remainder when h is divided by 10?
3
Suppose -5*f - 3*u = -117, f - 3*u = 34 - 7. What is the remainder when 63 is divided by f?
15
Let h(d) = d + 30. Calculate the remainder when 35 is divided by h(-20).
5
Let j be (48/(-28))/((-2)/(-14)). Let f = 25 + j. Let q = 22 - -3. What is the remainder when q is divided by f?
12
Suppose 3*r = 2*r + 30. Let p be (-2)/((r/9)/(-5)). What is the remainder when -2*((-255)/10 - p) is divided by 15?
12
Suppose 55*v - 56*v = -5*s + 1079, 0 = 5*s + 3*v - 1083. What is the remainder when s is divided by 31?
30
Suppose 124 = -2*f + 6*f. Suppose -7*d + 12*d - 40 = 0. What is the remainder when f is divided by d?
7
Let t be -4 - (-60 + (2 - 0)). Suppose -3*y - 340 = -4*s, 0 = s - y - 31 - t. Calculate the remainder when s is divided by 22.
19
Let a be -1 + 3 + 18/(-3) + 3. Let c(m) = -9*m**3 + 3*m**2 + m. What is the remainder when (-54)/((-2 + 1)*2) is divided by c(a)?
5
Suppose -2*s = 5*m - 237, 17*s = 3*m + 21*s - 145. Calculate the remainder when m is divided by 19.
9
Let h = -322 - -505. Calculate the remainder when h is divided by 19.
12
Let h(l) = -l**2 - 8*l - 7. Let u be h(-7). Suppose 0*i - 5*i + 320 = u. Calculate the remainder when 126 is divided by i.
62
Suppose -4*j - 4*n + 15 = -61, -5*n + 75 = 4*j. Let i = 34 + j. What is the remainder when i is divided by 14?
12
Let f(p) = p**3 + 21*p**2 - 12*p + 50. Let a(g) = g**3 + 22*g**2 - 11*g + 52. Let x(r) = -4*a(r) + 5*f(r). What is the remainder when 21 is divided by x(-18)?
3
What is the remainder when 102 is divided by ((-217)/21 - -9)/(4/(-102))?
0
What is the remainder when 275 is divided by (-962)/(-14) + (-8 - (-116)/14)?
68
Let v = 806 + -796. What is the remainder when 25 is divided by v?
5
Let d = 4 - 4. Suppose d = 2*r - 3*c - c + 6, 0 = 2*r - 3*c + 2. Suppose -4*n = -0*j - j + 12, 4*n + 28 = r*j. Calculate the remainder when j is divided by 4.
0
Let u be (4 - 9)*(-12)/3. Let l = -31 - -59. Calcu