
Let l(x) = -14 + 10*x**2 - x**3 + 3*x + 6*x + 20 + 3*x. Let u(t) = t**2 - 5*t - 3. Let z be u(7). What is the remainder when 47 is divided by l(z)?
13
What is the remainder when 43 is divided by (1 + (-86)/(-10))/((-38)/(-95))?
19
Calculate the remainder when ((-14)/(-42))/(2/246) is divided by 15.
11
Suppose 48*l + 15834 = 90*l. What is the remainder when l is divided by 18?
17
Suppose -b = 2*w - 17, -3*b + 3*w + w = -11. Suppose a - b = -0*a - 2*p, a - p = 12. What is the remainder when 34 is divided by a?
1
Let y be (0 + 3 - -23)/(-3 + 5). Let f = y + 98. What is the remainder when f is divided by 16?
15
Calculate the remainder when 2/5 - (-106)/10 is divided by 7 + -12*(2 - 15/9).
2
Suppose 0 = 4*t - 5*q - 37 - 835, -2*t + 462 = 4*q. Suppose -2*j + 22 = h - 65, h - 222 = -5*j. What is the remainder when t is divided by j?
43
Suppose -2*m = -3*i - 18, 5*m - 2*i - i = 54. Let w = 307 - 302. Calculate the remainder when m is divided by w.
2
Suppose -12*a = -14891 + 1655. Calculate the remainder when a is divided by 123.
119
Let n = -17 + 17. Suppose 9*h + 498 = 12*h. Suppose 3*y + h = 5*w, w + n*y - 44 = -3*y. What is the remainder when w is divided by 18?
17
Calculate the remainder when 16/(-3)*(-14 - 325/(-26)) is divided by 4.
0
Let u(s) = 4*s + 28. Suppose -6*h = -h - 225. What is the remainder when h is divided by u(-4)?
9
Calculate the remainder when 86 is divided by (1*-120)/(-5)*(-8)/(-12).
6
Let a = 78 + -43. Calculate the remainder when 452 is divided by a.
32
Let m = -2757 + 2909. Suppose -56 = -4*x + 100. Calculate the remainder when m is divided by x.
35
Let s(c) = -c**2 - 12*c + 83. What is the remainder when s(-16) is divided by 6?
1
Suppose -3*o + 5*y = -2, -2*o - 15*y = -18*y - 2. What is the remainder when 22 is divided by o?
2
Let i = 184 - 181. Suppose 0 = -4*o - o. Suppose o = -i*n + 48 + 36. Calculate the remainder when n is divided by 15.
13
Let w = 1984 + -1974. Calculate the remainder when 515 is divided by w.
5
Suppose 20 = 2*b + 82. Let i = b - -46. What is the remainder when 74 is divided by i?
14
Suppose 63*d - 451 = 1376. Calculate the remainder when d is divided by 9.
2
Suppose -38 = -3*f - 3*c + 112, 0 = -2*c - 6. Let r = 90 - f. What is the remainder when 184 is divided by r?
36
Let y(n) = n**3 + 5*n**2 + 5*n + 6. Let t be y(-4). Let s = 23 + -16. What is the remainder when 198/10 + t/10 is divided by s?
6
Suppose 5 = 4*a - 3. Let o = a + 5. Let u(h) = -4*h**3 + 50*h**2 + 25*h + 23. Calculate the remainder when u(13) is divided by o.
3
Let r = -2161 - -2319. Calculate the remainder when 321 is divided by r.
5
Let f(x) = -x**3 + 7*x**2 - 4*x - 8. Suppose -43 - 305 = -6*k. Let a = 64 - k. What is the remainder when a is divided by f(6)?
2
What is the remainder when (-8)/(-12)*(-1224)/(-3) is divided by 56?
48
Let c(r) = -5*r - 65. What is the remainder when 289 is divided by c(-15)?
9
Let c(d) = 2*d + 6. Let o be 2 + 1 + (1 - 4). Suppose -5*v - 7 + 17 = -2*w, 8 = 4*v - 5*w. What is the remainder when c(o) is divided by v?
0
Let o = 5 - -18. Suppose 2*j - x + 6*x - 140 = 0, 3*j - 193 = x. Calculate the remainder when j is divided by o.
19
Suppose 0 = -3*n + 2*n - 11. Let l(j) = j**2 + 8*j - 7. Calculate the remainder when l(n) is divided by 15.
11
Suppose -2*m = 763 - 823. What is the remainder when 48 is divided by m?
18
What is the remainder when 18/(-63) - ((-4780)/(-14))/(-5) is divided by 23?
22
Let r(g) = 7*g + 4. Suppose 9*o = 5*o + 172. Suppose -o - 37 = -5*n. What is the remainder when r(6) is divided by n?
14
Suppose x - s - 43 = 0, -4*x - 206 = -9*x - 4*s. What is the remainder when 95 is divided by x?
11
Let t(b) = -1772*b - 128. Calculate the remainder when t(-1) is divided by 61.
58
Let z(x) = -3*x - 8. Let m be (-1)/(2/6) + 3 + -8. Calculate the remainder when 63 is divided by z(m).
15
Let q be 28/21 - 196/(-6). Suppose q + 26 = 2*j. What is the remainder when j is divided by 11?
8
Let a(d) = d**3 + d**2 + 2*d - 3. Let s(o) = -o**2 - 8*o - 2. Let g be s(-6). Let v = g - 8. Calculate the remainder when a(v) is divided by 8.
5
Let u be ((-8)/6)/(5 + (-116)/24). Let j = u + 11. Calculate the remainder when 2 + 6/(0 - -2) is divided by j.
2
Suppose -h = 3*h - 8. Calculate the remainder when 1/(h*2/232) is divided by 15.
13
Let i(t) = t**2 + t. Let o be i(-4). Suppose 3*u + 73 = 5*n, -o = -2*n - 5*u + 42. Calculate the remainder when 81 is divided by n.
13
Let j = 251 + -145. Let r be 40/18 + (-4)/18. Calculate the remainder when j is divided by 72*(0 - r)/(-4).
34
Let t(y) = y**2 + 13*y + 43. What is the remainder when 171 is divided by t(0)?
42
Suppose 2*y + 494 = 28*y. What is the remainder when y is divided by 6?
1
Let m(z) = 2*z - 14. Let k be m(8). Suppose -k*q - 2*q = -52. Suppose i = 24 + q. What is the remainder when i is divided by 8?
5
Suppose 62*r - 101 = 61*r. What is the remainder when r is divided by 5?
1
Suppose -327 = j - 336. Suppose -30 = z - 3*z. Calculate the remainder when z is divided by j.
6
Suppose 101 = 2*u - 2*a + 35, 2*a - 21 = -u. Suppose 3*o + 4*h = 56, -o + 24 = -0*h + 4*h. Calculate the remainder when u is divided by o.
13
Suppose -27 - 5 = -2*v. What is the remainder when 968/(-48)*-3 - (-2)/4 is divided by v?
13
Let j = 57 + -21. Let g be 29 + 5/(10/(-6)). Calculate the remainder when j is divided by (1*g)/(-2 + 4).
10
Let z(v) be the second derivative of v**3/6 + 11*v**2 - 2*v. Let c(p) = p**2 + 2*p - 16. Calculate the remainder when z(-9) is divided by c(-6).
5
Suppose 0 = -2*l + 6*l - 16. Suppose -3*r - 20 = -4*s, 5*s - 25 = -9*r + l*r. Let x = r - -33. Calculate the remainder when 130 is divided by x.
31
Let o(u) = u**3 - 13*u**2 + 23*u + 2. Suppose 3*b + 45 = 8*b + 5*w, 3*b - 4*w = 41. Calculate the remainder when 21 is divided by o(b).
8
Let p(n) = -n - 5. Let g be p(-5). Suppose -7*c + 4*c + 165 = g. Suppose a - 32 = -4. Calculate the remainder when c is divided by a.
27
Suppose 2*q = 2*j + 2 + 98, 2*q = -j + 85. Suppose 3*i - 6 = 2*i. Suppose a - i = 6. What is the remainder when q is divided by a?
9
Let q(l) = l + 19. Let w be q(-17). Suppose -w*b - h + 66 = h, 5*b = -3*h + 159. Calculate the remainder when b is divided by 16.
14
Let y(w) = -16*w - 52. What is the remainder when 53 is divided by y(-4)?
5
Let u(f) = f**2 + 2*f - 2. Suppose -6*n + 62 = 8. Calculate the remainder when n is divided by u(2).
3
Let t = 74 + -61. What is the remainder when 349 is divided by t?
11
Calculate the remainder when 190 is divided by 2/2 - (-152)/4.
34
Let w = 134 + -90. Let d = 33 + -62. Let i = w + d. What is the remainder when 28 is divided by i?
13
Let y(v) = -v**3 + 5*v**2 + 7*v - 1. Let t be y(6). Calculate the remainder when 34 - 2/2 - 1 is divided by (3/4 - 159/(-60))*t.
15
Let r be (4 + (-12)/3)/(-1). Suppose 3*m - 45 - 6 = r. What is the remainder when 148/3 + 6/9 is divided by m?
16
Suppose 5*g + 4*l = 106 - 29, 3*g + 5*l - 54 = 0. Suppose 0*i + 3 = -i + 2*d, 4*i - g = 3*d. What is the remainder when 4/(-6) - 62/(-3) is divided by i?
6
Let x(u) = u**3 + 26*u**2 + 24*u + 9. Let r be 2*2*(-6)/(-4). Calculate the remainder when x(-25) is divided by (-23)/(-3) + (-4)/r.
6
Let x(u) = -u**2 - 23*u. Let m be x(-19). Suppose 3*a = m - 13. What is the remainder when 62 is divided by a?
20
Suppose -43*i + 558 = -40*i. What is the remainder when 1/4 - i/(-24) is divided by 6?
2
Let t(n) = -13*n - 71. What is the remainder when t(-11) is divided by 25?
22
Suppose -5*i + 1 = 31. Suppose -3*m - 12 = 0, 6*m - 88 = -4*j + 2*m. What is the remainder when j is divided by 7/(3/i*-2)?
5
Suppose 3*f - 202 = 68. Let q = f - 30. What is the remainder when q is divided by 21?
18
Suppose 0 = -7*i + 2*i + 4*y + 171, -3*i - 3*y + 81 = 0. Suppose 8 - i = -g. Calculate the remainder when 43 is divided by g.
20
Suppose -d + 2 = -3*d. What is the remainder when -5 - (-2 - d) - -11 is divided by 2?
1
Suppose 0 = 4*g + 3*i - 89, 0 = 2*i + 10. What is the remainder when 103 is divided by g?
25
Let w(b) = -18*b + 8. Let i be w(4). Calculate the remainder when 87 is divided by i/(-20) - 3 - 657/(-15).
43
Let j = -707 + 808. What is the remainder when j is divided by 37?
27
Let x(c) = -c + 1. Let v(t) = t - 3. Let p(d) = 3*v(d) + 5*x(d). Let u be p(-3). What is the remainder when u/3 + (-86)/(-6