+ x. Let w = -2 - -2. Suppose 2*s + 2 = -j - w, -8 = x*s. Calculate the remainder when j is divided by 1.
0
Let r be 2 + -3 + 4 + 2. Let g = -26 + 28. Suppose 3*t - r*p - 20 = g*t, 0 = 2*t + 4*p - 40. Calculate the remainder when 57 is divided by t.
17
Let k be (-2)/19 - 15030/171. Let l = k - -94. What is the remainder when 27 is divided by l?
3
Suppose 5*g - 108 = g. Suppose -3*o = -2*w - 28, 3*o + 3*w - 21 - g = 0. What is the remainder when o is divided by ((-24)/15)/((-2)/10)?
4
Suppose -6*k + k + 31 = 2*y, -29 = -4*y + k. Let m(v) = -v**3 + 7*v**2 + 17*v - 13. Calculate the remainder when m(y) is divided by 15.
14
Let w(x) = -139*x + 21. What is the remainder when 229 is divided by w(0)?
19
Suppose -2*q + 3*t = -473, -4*q + t + 976 = 5*t. Calculate the remainder when q is divided by (4209/46)/((-3)/(-2)).
58
Let g(t) = t**3 + 7*t**2 + 4*t + 15. Let s be g(-6). Let k = 67 - 48. What is the remainder when 9/s - (-448)/6 is divided by k?
18
Let u(d) = 2*d**2 - 2*d - 3. Let v(y) = 4*y**2 + 7*y + 6. What is the remainder when v(-4) is divided by u(-2)?
6
Suppose 6507 = -10*k + 6657. Let d = 32 - 7. What is the remainder when d is divided by k?
10
Let l(d) be the second derivative of -d**4/12 + 13*d**3/6 + 15*d**2/2 - 5*d. Suppose -4*c = c - 35. What is the remainder when l(12) is divided by c?
6
Let s(v) = 5*v - 4. Suppose -8*x + 7*x - 17 = 0. Let h = x - -49. Calculate the remainder when h is divided by s(3).
10
Suppose 0 = 11*o - 176 - 66. Calculate the remainder when o is divided by 18.
4
Let g = -912 + 966. What is the remainder when g is divided by 29?
25
Let w = 6 - -128. What is the remainder when w is divided by 17?
15
Let x(b) = -b**2 + 12*b - 10. Let z(a) = -a**2 - 6*a + 3. Let q be z(-10). Let o = -20 - q. Calculate the remainder when o is divided by x(10).
7
Calculate the remainder when 229 is divided by -2*((-1892)/8)/11 + 5.
37
Let g = -8 - -11. Suppose -g*z + 13 + 32 = 0. Suppose -5*r - 32 = -c, 0 = c + r + 1 - z. Calculate the remainder when c is divided by 10.
7
Let k = 73 + -49. What is the remainder when 88 is divided by k?
16
Suppose -9*s = -346 - 338. Suppose -16*b + 148 + s = 0. Calculate the remainder when 77 is divided by b.
7
What is the remainder when 3/(-1)*(-55100)/285 is divided by 15?
10
Let r(y) = 24*y**2 - 6*y + 2. What is the remainder when 76 is divided by r(-1)?
12
Let i(t) = -t**2 - 21*t - 28. Let s be i(-17). Let b = s - -47. Calculate the remainder when b is divided by 18.
15
Suppose -1205 = -5*i - j, 5*j = 5*i + 314 - 1489. What is the remainder when i is divided by 63?
51
Suppose -30 = -5*j - 4*p, -61*j = -57*j - 2*p - 50. Calculate the remainder when 29 is divided by j.
9
Let q be ((-3)/(-5))/((-9)/45). What is the remainder when 35 is divided by 19 + (q/(-1 + 4))/(-1)?
15
Suppose 0 = 3*h + 4*d - 589, 3*d = -5*h + d + 963. What is the remainder when h is divided by 50?
41
Let i = 66 + -36. Suppose 0 = -3*x + 66 - i. What is the remainder when 58 is divided by x?
10
Suppose 0 = 5*p - 10*p + 315. Let h(u) = u**3 - 7*u**2 + 7*u - 9. Let r(y) = -1. Let w(c) = -h(c) + 2*r(c). Calculate the remainder when p is divided by w(5).
19
Let r(v) = -7*v + 50. Calculate the remainder when r(-7) is divided by 27.
18
Let f(j) = 3*j + 59. Suppose -5*v + 13 = -z, 21 = 4*v + z + 7. Suppose 6 = v*t + 3*a, 1 + 1 = t + 4*a. Calculate the remainder when f(-18) is divided by t.
1
Let s be -3 + (3 - 4 - 2). Let x be (s/(-12))/(1/984). Calculate the remainder when 9/(-45) - x/(-10) is divided by 10.
9
Suppose 5 + 7 = 6*a. Suppose a*n - 141 = g, 3*n - 6*g + g - 194 = 0. Calculate the remainder when n is divided by 26.
21
Suppose 4*d - 60 = 3*c - 4*c, -4*d - 4*c = -72. Suppose 3*b - 501 = -3*t, 3*b - 157 - d = -t. Calculate the remainder when (8/(-10))/((-6)/t) is divided by 8.
6
Let o = 54 - 50. Suppose o*d - 2*d = u - 43, -u - 2*d = -35. Calculate the remainder when u is divided by 11.
6
Let p = -19 - -62. Let o(f) = f**2 + 50*f + 441. Calculate the remainder when p is divided by o(-39).
7
Let s = -126 - -162. Calculate the remainder when 69 is divided by s.
33
Suppose 2*n - 4*x = 14, -4*n = -n + 2*x - 53. Suppose -2*q + 560 = 2*q. Suppose 0*s - 5*s = -q. What is the remainder when s is divided by n?
13
Suppose -5*f - 111 = -2*v, -3*v - 5*f - 247 = -7*v. What is the remainder when 197 is divided by v?
61
Let j(a) = 7*a**2 + 63*a + 8. Calculate the remainder when j(-10) is divided by 14.
8
Let v be (1 - -4)/(5/(-10)). Let j be v/30 + 16/3. Suppose 0 = -4*p - 12, -n - 3*p + j*p = -10. What is the remainder when 4 is divided by n?
0
Suppose 72 = 8*a - 4*a. Suppose 96 + a = 2*w. Let k = w - 34. What is the remainder when 44 is divided by k?
21
What is the remainder when (24/(-128)*4)/(1/(-512)) is divided by 33?
21
Let x = -1553 + 2184. What is the remainder when x is divided by 79?
78
Let k(r) = -r**3 + 5*r**2 - 2*r + 6. Let n be k(4). Let m(y) = 3*y + 34. What is the remainder when m(n) is divided by 21?
13
Suppose 4*c = -2*m + 24, 0 = -3*m + 2*m + 2*c - 8. Suppose -m*u = -7*u + 130. Calculate the remainder when u is divided by 15.
11
Let r be (-6)/8 - 105/(-28). Suppose -3*f = -r*v + f + 166, -2*v + 2*f + 114 = 0. What is the remainder when v is divided by 32?
30
Suppose 2*k + 15 = 5*g, -3*g = 2*k - 12 + 3. Suppose -g*y = 4*y - 63. What is the remainder when 22 is divided by y?
4
Suppose -2*j = -2, -5*j - 8 + 3 = -5*q. Suppose 0 = -9*p + 160 - 52. What is the remainder when p is divided by q?
0
Calculate the remainder when 147 is divided by (-39)/(-117) - 56/(-3).
14
Let o = -30 - -35. Suppose -o*r = -269 - 91. Let s(k) = 4*k**2 + 5*k + 4. What is the remainder when r is divided by s(-3)?
22
Suppose -9*p = -2*p - 490. Calculate the remainder when p is divided by 50.
20
Suppose 23*l - 65 = 18*l. Calculate the remainder when l is divided by 7.
6
Suppose 63 + 280 = -7*y. Calculate the remainder when 142 is divided by ((-1)/(2/y))/(42/84).
44
Suppose -218 = 7*d - 4600. What is the remainder when d is divided by 35?
31
Suppose 2*q + 15 = 5*c, -q + 7 = 5*c - 8. Suppose c*o - 288 = -4*r, o + 5*r = 2*o - 115. What is the remainder when o is divided by 26?
22
Let x = 124 - 64. Let f(l) = 8*l - 3. Calculate the remainder when x is divided by f(3).
18
Let t(m) = 7*m + 10. Let u be t(0). Suppose -12 = 3*q, -5*z + u*z - q - 129 = 0. Suppose 0 = -b - 4*b + 20. What is the remainder when z is divided by b?
1
Suppose y + 5*d + 0*d = 31, y - 26 = -4*d. Calculate the remainder when 33 is divided by (2/y)/(1/27).
6
Let t(v) = 4*v - 5. Suppose 0 = -4*i - 80 - 232. Let d = i - -151. What is the remainder when d is divided by t(6)?
16
Let o(d) = 14*d**2 + d - 2. What is the remainder when o(2) is divided by (5 + -67)*(-13)/(-78)*-3?
25
Let k be (-2)/(-8) + 22/8. Suppose -k*m = -5*o + 31, -2*o - m = -5*o + 17. What is the remainder when (-15)/4*-4 - 3 is divided by o?
2
Suppose -4*y + 572 = -1236. What is the remainder when y is divided by 24?
20
Let p(i) = -36*i - 4. Let s be p(-5). Suppose 4*q - s = -0*q. Let j(t) = -t**3 + 5*t**2 - 2*t + 7. What is the remainder when q is divided by j(4)?
14
Let l = -86 + 51. Let i be 30/l*28/(-6). Suppose 0 = 4*a + 5*u - 13 - 28, -u = i*a - 37. Calculate the remainder when a is divided by 3.
0
Calculate the remainder when (-1 - -18)*(21 - 20) is divided by 9.
8
Suppose -2*z + 4 = -8. Let l = 48 + z. Calculate the remainder when l is divided by 56/(-2)*1/(-2).
12
Let n(v) = v**3 + 13*v**2 + 15*v + 38. Let i be n(-12). Suppose -i*b = -3*x + 2*x - 62, 4*b - 104 = -3*x. What is the remainder when 112 is divided by b?
25
Suppose 0 = 21*g - 23*g + 14. Calculate the remainder when g is divided by 6.
1
Let r be 23 + -1 - (-6)/(-6). Suppose 5*b - 2*b = -r. Let m(j) = -16*j - 1. Calculate the remainder when m(b) is divided by 28.
27
Calculate the remainder when 293 is divided by (3 + 5)/(-8) + 75.
71
Let s be -4 - (1 - 7 - 1). Let j(z) = 14*z**2 - 15*z**2 + 3*z**s + 3 + 0*z**3 - 4*z. What is the remainder when 44 is divided by j(2)?
14
Let q(n) = -n**2 - n + 10. Let x be q(12). Let f = 230 + x. What is the remainder when f is divided by 19?
8
Let f(h) = 5*h + 52. Let n be f(-10). Suppose 0 = 4*u - 2*p - 598, -2*u = n*u + 2*p - 610. Calculate the remainder when u is divided by 17.
15
Suppose 6*c = 2*c - 40. Let n(p) = -6