15.
13
Calculate the remainder when 383*(1 + -6)/(-5) is divided by 16.
15
Let k be (((-30)/9)/(-1))/((-2)/(-18)). Let p = k - 13. Calculate the remainder when p is divided by 10.
7
Suppose 1021 = 23*t - 221. Calculate the remainder when (161/(-1 - 0))/(-1) is divided by t.
53
Let f(a) = a + 41. Suppose -9*j - 15 = -12*j. Suppose 3*z - 2*z = 2*u - 24, 4*z - 86 = -j*u. Calculate the remainder when f(0) is divided by u.
13
Suppose 2*t - 434 = -12*t. What is the remainder when 99 is divided by t?
6
Let c = -6 - -8. Calculate the remainder when (-1 - 10/c)*-7 is divided by -1*(-11 - -1) + 1.
9
Let l(n) = 16*n**2 + 205*n - 2. Calculate the remainder when l(-13) is divided by 27.
10
Suppose -11 + 5 = -3*k. Suppose -5*t + 1125 = 3*o, 3*o = 2*t + 6*o - 441. Suppose k*f + 2*f - t = 0. What is the remainder when f is divided by 20?
17
Let t = -285 + 336. What is the remainder when t is divided by 9?
6
Calculate the remainder when 122 is divided by 55 + (-7 - (0 + 6)).
38
Let g = -176 + 200. What is the remainder when 71 is divided by g?
23
Let x = 122 + -89. Suppose 0*j - 4*j = -52. What is the remainder when x is divided by j?
7
Let c = -16 + 18. Suppose r = 66 - 10. Suppose -c*p - g = -r, -2*p = p + 5*g - 70. Calculate the remainder when p is divided by 11.
8
Let a = 861 + -646. Calculate the remainder when a is divided by 74.
67
Suppose 2*g - 4*r - 10 = 0, g = -5*r + 35 + 5. Calculate the remainder when 50 is divided by g.
5
Suppose 0 = 7*a - 4*a - 60. Let c be (-2 + (-12)/(-9))*-6. Suppose -114 = -7*r + c*r. Calculate the remainder when r is divided by a.
18
Suppose -60 = 2*h - 7*h. Calculate the remainder when (-3 + -54)*(-3 + 2) is divided by h.
9
Let c(k) = k**3 + 19*k**2 + 83*k + 1. Suppose -3*n - 2*n = -115. What is the remainder when n is divided by c(-7)?
7
Let r be (-2082)/(-3) + -2 - -1. Let p = r - 466. Let t = p + -104. Calculate the remainder when t is divided by 31.
30
Let l = -19 + 37. Calculate the remainder when (22 + -1)*((-15)/(-45) - -2) is divided by l.
13
Let u(i) = -i**2 - i + 10. Let t be u(-5). Calculate the remainder when 12 is divided by t + 10 - 10/(-1).
2
Let i = 2066 + -2018. Calculate the remainder when 811 is divided by i.
43
Suppose -3*h + h + 90 = 0. Let t(z) = 2*z + 33. Let p be t(-15). Suppose p*y - 86 = -4*a - 0*y, -2 = y. What is the remainder when h is divided by a?
22
Suppose 2*y - p = 346, p - 879 = -5*y - 0*y. What is the remainder when y is divided by 16?
15
Suppose 12446 = 44*g + 4042. Calculate the remainder when g is divided by 85.
21
Let i(y) = 4*y**2 - 15*y - 7. Calculate the remainder when i(-2) is divided by 19.
1
Let k(l) = -5*l**3 - 2*l**2 - l + 1. Let z be k(-2). Let w = -21 + z. What is the remainder when w is divided by (3/((-3)/5))/(-1)?
4
Let y(s) = s**3 + s**2 + 3*s - 4. Calculate the remainder when y(4) is divided by 19.
12
Let j = 45 + -42. Let g(y) = -y**3 + 7*y**2 - y + 9. Let w be g(7). Suppose w*u - 41 = j. Calculate the remainder when u is divided by 8.
6
Let c(y) = 10*y + 55. Calculate the remainder when c(12) is divided by 36.
31
Let p(o) = 24*o**3 - o**2 - 3*o + 2. Let d be p(1). What is the remainder when 60/18*(-1 + 10) is divided by (-4)/(-2)*121/d?
8
Suppose 0 = 181*t - 167*t - 3976. Calculate the remainder when t is divided by 18.
14
Let b(j) = j**3 - 18*j**2 + 86*j - 24. What is the remainder when 35 is divided by b(9)?
14
Let v = -503 - -595. What is the remainder when v is divided by 19?
16
Suppose -31*q + 34*q = 1164. What is the remainder when q is divided by 17?
14
Let z = -135 + 783. Calculate the remainder when z is divided by 65.
63
Suppose 8*g - 47 = -1183. Let v = g + 152. What is the remainder when 39 is divided by v?
9
Let k be (2 - -89) + 3 + -3. Let o be 12*-2 - (0 - 2)*1. Let i = k + o. Calculate the remainder when i is divided by 18.
15
Let w(x) = 4*x**2 + 5*x + 31. Let z(u) = -3*u**2 - 5*u - 32. Let o(f) = 4*w(f) + 5*z(f). What is the remainder when o(-5) is divided by 5?
4
Let z(d) = -7*d**2 - 66*d - 3. Suppose l + 5*w - 65 = 0, 3*w - 279 = -4*l + 2*w. What is the remainder when l is divided by z(-9)?
22
Let r(t) = -103*t**3 + 3*t**2 + 4*t + 2. Calculate the remainder when r(-1) is divided by 55.
49
Suppose -3*k + 5*q + 23 = 0, -k = 2*q + 5 + 2. Let s = 5 - 3. What is the remainder when s is divided by k?
0
Suppose -2*r - 235 = -3*x, -x - r - 3*r + 55 = 0. Suppose -2*l = -2*y + 62, 0 = -3*y + 4*l + 22 + x. What is the remainder when y is divided by 15?
12
Let h(g) = -g**2 - 8*g**3 - 2*g - 1 + 5*g**3 - 15*g**3. Suppose -3*m = -4*d - 76 - 67, -3*d = -12. What is the remainder when m is divided by h(-1)?
17
Let i = 160 + -95. Suppose -61*u = -57*u - 136. Calculate the remainder when i is divided by u.
31
Calculate the remainder when (-15)/6*((-5810)/50 - -7) is divided by 5.
3
Suppose 10 = o + 4*s, -3*o - s + 0*s = -8. Suppose 2 - 12 = -5*b. Suppose -b*r = -5*v - 41, 3*r = -v + 21 - o. Calculate the remainder when 23 is divided by r.
7
Suppose -4*p = -0*p. Suppose 0 = -u - p*u. Let j(m) = -m + 25. What is the remainder when 73 is divided by j(u)?
23
Let b(p) = 89*p**2 - 3*p - 2. Let q be b(-1). Suppose -6*d = -q - 6. What is the remainder when 29 is divided by d?
13
Let j = 380 + -341. Calculate the remainder when 193 is divided by j.
37
Let o = -7 + 53. Calculate the remainder when o is divided by 35.
11
Suppose -5*v = -3*c - 2*c - 3675, -c + 725 = v. What is the remainder when 17 is divided by (v/219)/(1 + (-1)/3)?
2
Suppose -3*q - 186 = -5*q. Suppose 13*i - q = 232. Calculate the remainder when 123 is divided by i.
23
What is the remainder when (-3 - -10 - 57)*-5 is divided by 42?
40
Let h(j) = -j**3 + 3*j**2 - j - 5. Calculate the remainder when 70 is divided by h(-2).
2
Let q(p) = p**2 - p + 16. Let k = -4 + 4. Suppose s + k*s = 0. Calculate the remainder when 46 is divided by q(s).
14
Calculate the remainder when 242 is divided by ((-5)/((-35)/21))/((-1)/(-9)).
26
Suppose 0 = -269*a + 270*a - 108. Calculate the remainder when a is divided by 21.
3
Suppose 0 = -5*j - 7 + 32. Suppose 0 = -3*y - 4*b + 39 + 14, -j*y + 69 = -3*b. What is the remainder when 87 is divided by y?
12
Suppose -5*l = -6*i + 2*i, -3*l = 0. Let p = i - -14. What is the remainder when p is divided by 5?
4
Suppose 5*y = -7*y - 1092. Let m = y - -101. Calculate the remainder when (-2)/8 + (-77)/(-4) is divided by m.
9
Suppose 74*i - 2335 = 3659. Calculate the remainder when 162 is divided by i.
0
Let y(i) = i**2 + 9*i - 9. Let w be y(-5). Let j = w + 33. Suppose 5*q - 40 = 8*o - 3*o, 4*o = -j*q + 72. What is the remainder when 23 is divided by q?
10
Let m = 153 - -41. Let z be (28/6)/(4/114). Let n = m - z. What is the remainder when n is divided by 16?
13
Let g(k) = 100*k - 463. Suppose -3*q + 26 = -13. What is the remainder when g(5) is divided by q?
11
Let y be (50/12 - 4)*6. Calculate the remainder when 43 is divided by 75/3 - (4 - y).
21
Suppose 3*l + 4 = 4*y + 21, 0 = 4*l - y - 1. Suppose -5*s = 11 - 106. What is the remainder when s is divided by -2*l/(-2) + 6?
4
Suppose 8 = 2*k, -2*k + 398 = 3*m + 3*k. Calculate the remainder when m is divided by 37.
15
Let z(t) = 14 - 14 + 7*t - 2*t. Suppose 0 = 2*o + 2*o - 4. What is the remainder when z(o) is divided by 3?
2
Let d(a) = -a**2 + 8*a + 15. Let g(k) = -k**3 - k**2 - 2*k + 1. What is the remainder when g(-2) is divided by d(9)?
3
Suppose -189*i + 56 = -187*i. Suppose 0 = 3*a + 4*k - 68, 0 = -k + 2 - 6. What is the remainder when 77 is divided by i/6*120/a?
17
Let c = 2182 - 1946. Calculate the remainder when c is divided by 14.
12
Let i = -399 + 565. Let l(j) be the second derivative of j**4/12 - j**3/3 - 3*j**2 + 9*j. What is the remainder when i is divided by l(-6)?
40
Suppose -11 = -3*v + 58. Suppose -4*w + 3*r + 99 = 0, -4*r - 33 = -4*w + 71. Calculate the remainder when 1515/35 - 6/w is divided by v.
20
Suppose -h + 0*h - z + 46 = 0, 4*h = 3*z + 170. What is the remainder when 80 is divided by h?
36
Let j(f) = 4*f**2 - 6*f + 10. What is the remainder when j(5) is divided by 29?
22
Suppose -22*i + 2 + 174 = 0. Calculate the remainder when 29 is divided by i.
5
Suppose -7 = -a - 0*a. Let x(p) = 3*p - 6. Calculate the remainder when (-198)/55*30/(-4) is divided by x(a).
12
Let i(m) be the third derivative of -3*m**2 + 0 + 1/3*m