8)/((-2)/(-429)). Suppose n = 5*r - p, -2*p - 17 = -4*r + 95. What is the remainder when r is divided by 15?
14
Let f be 30/4*6/(-9). Let i = f - -8. Suppose 10 = i*o - 5. Calculate the remainder when 6 is divided by o.
1
Let h = -1 + 7. Suppose -3*w = 3 + h. Calculate the remainder when 61 is divided by ((-69)/w - -1) + -3.
19
Let w be 2/10 + (-44)/(-5). Let t be ((-15)/5)/((-18)/12). Suppose 3*b = r + w, -r = t - 5. Calculate the remainder when 5 is divided by b.
1
Let r(h) = 15*h - 154. Calculate the remainder when 32 is divided by r(12).
6
Let q(y) = -6*y**2 - 25*y - 2. What is the remainder when 7 is divided by q(-4)?
1
Suppose 0 = d + 9*d - 80. Let i(k) = -1 - 2 + 5*k - 2*k. What is the remainder when 62 is divided by i(d)?
20
Suppose v + 754 = -16*b + 19*b, 4*v + 506 = 2*b. Calculate the remainder when b is divided by 5.
1
Let o = 14 - 17. Let d be -5*(54/10 + o). Calculate the remainder when (d/(-9))/(4/150) is divided by 13.
11
Let b = 216 - 145. Let s(o) = o**3 + 9*o**2 + 5*o + 11. Let a be s(-8). Let p = b - a. Calculate the remainder when p is divided by 10.
6
Let s(p) = p**3 - 9*p**2 - p + 11. Let b be s(9). Let o be (-1)/(-2)*4/b. What is the remainder when (o - 4)*(-6)/9 is divided by 1?
0
Suppose -4*k = -k - 108. What is the remainder when k is divided by 14?
8
Suppose -2*t + 193 = -5*v, -234 + 51 = -2*t + 3*v. What is the remainder when t is divided by 48?
36
Let q = 116 - -22. What is the remainder when (-2)/10 - q/(-15) is divided by 7?
2
Let w = 29 + -17. Let l = -29 - -50. What is the remainder when 61 + -1 - (-14 + w) is divided by l?
20
Let m = -38 - -38. Suppose m = -2*i + 4*t + 48, 5*i + 2*t - 120 = 3*t. Let h = 13 - -82. What is the remainder when h is divided by i?
23
What is the remainder when 171 is divided by (-6)/((-14)/12 + 1)?
27
Suppose m = 5, -2*o + 4 + 2 = -4*m. Let w(q) = 62*q + 1. Calculate the remainder when w(1) is divided by o.
11
Let t be (-2 - -3) + 281 + 0. Suppose -3*k = -5*w + 267, -5*k = -5*w - 17 + t. Calculate the remainder when w is divided by 14.
12
Calculate the remainder when 707 is divided by (-854)/(-70) - (-3)/(-15).
11
Let p = 989 + -337. Suppose -5*i = 2*t - p, -2*t = -t - 1. What is the remainder when i is divided by 33?
31
Let r = -391 - -553. What is the remainder when r is divided by 31?
7
Suppose -3 = 3*m + 2*a + a, 5*a = 5*m - 25. Let p(v) = 3*v**m + 4*v**2 - v**3 - v**2 + 9 - 6*v + v**2. What is the remainder when 25 is divided by p(6)?
7
Let g(l) = l**2 - l + 7. Let t be g(5). Let j = 28 - t. What is the remainder when 4 is divided by j?
0
Let v(p) = 4*p + 16. Let g be v(-3). Suppose w = -2 + g. Suppose 6*q = 3*q + 12. Calculate the remainder when q is divided by w.
0
Suppose 4*n + 9 = k - 4*k, -n = k + 2. Calculate the remainder when k is divided by (-6)/(-8) + 10/40.
0
Suppose 3*a = -4*s - 2*a + 58, 0 = -3*s - 2*a + 47. Calculate the remainder when 20*(4 + (-14)/(-8)) is divided by s.
13
Let l(n) = -74*n + 1. Let y(a) = a**3 + 5*a**2 - 18*a - 17. What is the remainder when l(-1) is divided by y(-7)?
9
Let s(g) = -4*g**2 + 6*g. Let m be s(4). Let u = 71 + m. Suppose -9 = -l + u. What is the remainder when l is divided by 14?
12
Suppose 2*v - 28 = 4*k + 6, 4*v + 49 = -5*k. What is the remainder when -1*(-21 + (1 - -1)) is divided by ((-66)/k)/((-4)/(-6))?
8
Let s = 62 - 64. Calculate the remainder when ((-452)/8)/1*4/s is divided by 19.
18
Suppose 0 = 2*r - 6*o + 3*o - 43, 3*o = -5*r + 139. Let d = -9 + r. Let m = d - 10. Calculate the remainder when 53 is divided by m.
4
Let p = 300 + -239. Let y(l) = -l - 2. Let r be y(-2). Let k = r - -16. What is the remainder when p is divided by k?
13
Suppose 0 = -3*y + 2*d + 53, 0 = 2*y + d + 5 - 31. Suppose 0 = 9*k + 3 - 804. Calculate the remainder when k is divided by y.
14
Suppose 43 = -5*l - 12. Let f = l + 11. Suppose 0 = -3*n - b + 52, 0 = -f*n - 3*n + 4*b + 32. Calculate the remainder when 62 is divided by n.
14
Suppose -28 = -4*i + v + 4, 0 = i + 2*v - 17. What is the remainder when 20 is divided by i?
2
Suppose -20 = 5*b - 120. Suppose -k + 4*r - 447 = 0, 5*r + 687 - 204 = -k. What is the remainder when k/(-8) - 8/(-64) is divided by b?
18
Let w(p) be the second derivative of -5*p - 1/6*p**3 - 2*p**2 + 0. What is the remainder when w(-14) is divided by 3?
1
Let g be 6*(-1 + -1)*(-4)/(-8). Calculate the remainder when -2*(-321)/g*-1 - 1 is divided by 36.
34
Let v(r) = r**2 - 6*r + 2. Let g be v(6). Let c be g/(-4)*2 + 1. Let y = 12 - c. What is the remainder when 23 is divided by y?
11
Calculate the remainder when 45 is divided by (-3 - -8 - (0 - 23)) + -3.
20
Calculate the remainder when -155*((-6)/8)/((-150)/(-120)) is divided by 10.
3
Let s(l) = 3 - 4*l**2 + 0*l**2 - 7*l + 3*l**2. Suppose -136 = -4*x + 2*n, 22*n - 18*n = -8. Calculate the remainder when x is divided by s(-6).
6
Calculate the remainder when 95 is divided by (-3*1/(-3))/((-10)/(-250)).
20
What is the remainder when 163 is divided by 148/11 + 24/44?
9
Let t(a) = a + 13. Let o(y) = -y - 12. Let z(x) = -4*o(x) - 5*t(x). Let w = 4 - 2. What is the remainder when w is divided by z(-18)?
0
Suppose -3*j - 2*t + 75 = 0, -2*j + 19 = 2*t - 33. Calculate the remainder when 117 is divided by j.
2
Suppose -4*b + 3 = 19. What is the remainder when 28 is divided by b*((-2)/(-4) - 3)?
8
Suppose 3*j + 745 = t + 4*t, 5*t = 5*j + 755. Calculate the remainder when t is divided by ((-8)/96*6)/((-1)/74).
35
Let d = -312 - -414. What is the remainder when d is divided by 35?
32
Let d(t) = t**3 - 20*t**2 + 53*t + 11. What is the remainder when 234 is divided by d(17)?
9
Let f = 116 - 104. Calculate the remainder when 58 is divided by f.
10
Let c(j) = 2*j - 7. Let k be c(5). Suppose -f = k*f - 496. Suppose 5*y = 141 + f. What is the remainder when y is divided by 18?
17
Let t(m) = -61*m - 12. What is the remainder when t(-1) is divided by 38?
11
Let k(g) = g**3 + 9*g**2 - 2*g - 12. Let w be k(-9). Calculate the remainder when (-22)/w*-9*2/3 is divided by 15.
7
Let j(w) = -81*w**3 - 2*w**2 + w + 2. Suppose r = -o + 25, 3*r - 62 = r + o. What is the remainder when j(-1) is divided by r?
22
Suppose -11*v + 7*v = 56. Let z = 154 - v. What is the remainder when z is divided by 34?
32
Let q = 291 - 166. Suppose 2*b = -2*a - a + 145, -3*a + 2*b = -q. Calculate the remainder when -6*(a/(-6) + 3) is divided by 10.
7
Suppose -2*a = -2*p - 26, -3*a - 3*p = 5 - 50. Suppose 5*j = 224 - 24. Calculate the remainder when j is divided by a.
12
Suppose -6 = -z - 2*y, z - 2*y - 10 = -2*z. Suppose -k + 0 + 8 = -2*d, -4 = -k + z*d. Let i(m) = 5*m + 9. What is the remainder when i(7) is divided by k?
8
Let c = -416 - -464. Calculate the remainder when 279 is divided by c.
39
Let w = -14 + 21. Suppose 1 + 47 = 67*d - 59*d. What is the remainder when w is divided by d?
1
Suppose 0 = -2*z - z + 6. Suppose z*f + g + 3*g = 34, 3*f = -3*g + 48. Calculate the remainder when 19131/336 - 4/(-64) is divided by f.
12
Calculate the remainder when 2/6*((-6)/2 - -63) is divided by 7.
6
What is the remainder when 4 - 2/((-4)/(-2)) is divided by -8 - (7 - (-8 + 26))?
0
Let a = -726 + 736. What is the remainder when 16 is divided by a?
6
Suppose 0 = 5*s + 28 - 83. Let b(a) = -a**3 + 5*a**2 - a - 8. What is the remainder when s is divided by b(4)?
3
Let s(l) be the second derivative of -l**5/20 + 11*l**4/12 - 4*l**3/3 - 7*l**2/2 + 6*l. What is the remainder when 44 is divided by s(10)?
5
Let x(y) = y**3 - 5*y**2 + 2*y + 2. Let p = 6 + -1. Suppose 5*t - 3*t - 68 = 0. Calculate the remainder when t is divided by x(p).
10
Let x(b) = 5*b**3 + b**2 - 1. Suppose -3 = -4*l + n, 4*l + 3*n = 7*n. Calculate the remainder when x(l) is divided by (1 + -2)*3/(-1).
2
Suppose -19 - 2 = -2*d + z, -4*d + 47 = -3*z. Let k be (-3)/(-21) - (-240)/(-14). Let v = k + 32. What is the remainder when v is divided by d?
7
Let v(x) = 25*x + 96. What is the remainder when v(0) is divided by 20?
16
Let s(g) = 5*g**2 - 21*g + 5. What is the remainder when s(6) is divided by 24?
11
Suppose 4*d + 140 = -0*d. Let k be 2/10 - 2058/d. Let f = k + -34. Calculate the remainder when f is divided by 9.
7
Suppose -7*x + 38 + 158 = 0. Calculate the remainder when 391 is divided by x.
27
Suppose 22*s + 4*m + 98 = 24*s, m + 254 = 5*s. Suppose 0 = 2*d - 8, -12 = -