uppose b*m = m + 28. Calculate the remainder when ((-2)/(-4))/((-4)/(-440)) is divided by m.
13
Let u(o) = -3*o**2 - 2*o - 4. Let z be u(2). Let x = -8 - z. Suppose -4*t + 2*t = -66. Calculate the remainder when t is divided by x.
9
Let i(c) = -c - 6. Let n be i(-2). Calculate the remainder when 6/4 - (-6)/n - -4 is divided by 1.
0
Let o(y) = 3*y**2 + 40*y + 141. What is the remainder when o(-15) is divided by 22?
18
Suppose 38*i = 15*i + 989. What is the remainder when i is divided by 34?
9
Suppose 17*j - 12 = 16*j. Let l(q) = -3*q + 17. What is the remainder when j is divided by l(4)?
2
Suppose -78 = -3*o + 5*f, 4*f + 7 + 5 = 0. Suppose 70 + 238 = 4*d. Calculate the remainder when d is divided by o.
14
Suppose 5*a = 15, 5*m - 266 - 55 = -2*a. Suppose -m*f = -56*f - 553. Calculate the remainder when f is divided by 31.
17
Let d be (5/3)/((-4)/(-12)). Suppose -3*r + 32 = -0*r - d*q, -r + 3*q + 16 = 0. What is the remainder when 18 is divided by (-22)/r*(-4)/2?
7
Let r(o) = 2*o**2 + 0*o**2 + 100 - 2*o - o**2. Calculate the remainder when r(0) is divided by 34.
32
Suppose 5*d + j = 205, -4*d + 235 - 57 = -2*j. What is the remainder when 90 is divided by d?
6
Let v be 1/(-3) - (-10)/3. Suppose 3*p + 2*o - 12 = -p, -v*p + 20 = -4*o. Calculate the remainder when 14 is divided by p.
2
Suppose 15*v - 17*v + 2*t = -1556, v + 4*t = 783. Calculate the remainder when v is divided by 26.
25
Suppose 4*w + 4*z - 420 = 0, -6*z = -5*w - 2*z + 552. Suppose 0 = 2*y - 5*y + w. What is the remainder when y is divided by 8?
4
Suppose -19*g - 306 = -2*g. Let s(n) = -n**2 - 5*n + 5. Let l be s(-6). Let c = l - g. Calculate the remainder when 67 is divided by c.
16
Let i be 3/(3 + 6/(-4)). Let o(z) = 5*z + 12. Calculate the remainder when o(6) is divided by (i/(-3))/((-12)/198).
9
Suppose -5*g = -6*g - 11. Suppose -4*w = -5*v - 65 + 8, w + 3*v = 27. Let o = g + w. What is the remainder when 12 is divided by o?
5
Suppose -3 = 3*w + 3*i, -2*w + 5*i + 13 = 2*i. Suppose -3*m - m + 2*o = -188, -2*o - 233 = -5*m. What is the remainder when m is divided by 770/63 - w/9?
9
Let o(v) = -v**3 + 5*v**2 + 4*v - 7. Let s(f) = f**3 - 8*f**2 + 6*f + 20. Let d be s(9). Let p = d + -150. Calculate the remainder when o(5) is divided by p.
3
Suppose -3*q - 113 = -2*u, u - 73*q + 76*q - 52 = 0. What is the remainder when u is divided by 19?
17
Let v(n) = n**3 + 16*n**2 - 15*n + 36. Let t be v(-17). Calculate the remainder when (-1)/t*780/(-10) is divided by 7.
4
Let r(w) be the first derivative of 4*w**2 - 21*w + 9. Calculate the remainder when r(6) is divided by 6.
3
Let i be ((-32)/2)/((40/12)/(-5)). Suppose i = 5*y - 21. Suppose 3*x + l = 49, x - 81 = -4*x - 2*l. Calculate the remainder when x is divided by y.
8
Suppose 0 = 6*t - 7*t + 1. Suppose 2*g - t - 1 = 0, 5*g = -h + 17. What is the remainder when 35 is divided by h?
11
Suppose -19*b + 24 = -7*b. Calculate the remainder when 9 is divided by b.
1
Suppose 5*l = 5*g - g + 296, 2*l + 3*g = 123. Suppose x - 6*x = l. What is the remainder when 1156/24 + 2/x is divided by 25?
23
Let f = 9923 - 9908. Calculate the remainder when 2 + 0 + -1 + 43 is divided by f.
14
Let y = -45 + 49. Let u(z) = 4*z - 4. What is the remainder when 23 is divided by u(y)?
11
Suppose 2 = -3*d + 17. Suppose d*b + 6*b - 44 = 0. Calculate the remainder when 22 is divided by b.
2
Suppose -4*z + j + 441 = 0, -2*j = 2*z - 5*j - 223. Let u be -3*(-5)/((-75)/(-65)). Let i(a) = a + 15. What is the remainder when z is divided by i(u)?
26
Suppose -14*y + 2*g = -9*y - 1318, 802 = 3*y - 4*g. What is the remainder when y is divided by 85?
7
Let h(k) be the second derivative of -11*k**3/6 + k**2/2 - 2*k. Let m = -414 + 413. What is the remainder when 22 is divided by h(m)?
10
Let c be 4 - (24/4)/3. Let s(a) = 10*a - 3. Suppose 3*y - 12 = r, 3*y + 4*r + 7 - 34 = 0. Calculate the remainder when s(c) is divided by y.
2
Suppose -1782 = 9*j - 15*j. Calculate the remainder when j is divided by 5.
2
Let j(y) = 4*y - 58. What is the remainder when j(32) is divided by 4?
2
Suppose -4*p = -13 + 5. Suppose -3*i = p*i - 70. What is the remainder when 67 is divided by i?
11
Let b = -191 + 233. Suppose -3*x - 3*a + 6*a + 36 = 0, 5*a + 27 = 2*x. What is the remainder when b is divided by x?
9
Let s = -77 + 169. What is the remainder when s is divided by 24?
20
Suppose 5*y + 5 = -0*f - f, 4*y + 3 = -f. Let o be (4 - 30/4)*y. Suppose -d + 5*u = -64, 3*u - o*u = 20. What is the remainder when d is divided by 21?
18
Let y = 57 - 21. Let o = y - 30. Let l = 11 - -5. Calculate the remainder when l is divided by o.
4
Let m = -1177 - -1205. Calculate the remainder when 173 is divided by m.
5
Calculate the remainder when 1756/3*(-105)/(-70) is divided by 88.
86
Suppose 5*t + 576 = 23*t. Calculate the remainder when t is divided by 18.
14
Let k(t) = -7*t**2 - 57*t - 69. Let r(v) = 3*v**2 + 28*v + 34. Let h(n) = 2*k(n) + 5*r(n). What is the remainder when 75 is divided by h(-25)?
5
Suppose -2*m + 220 = 2*l, 0 = -2*m + l - 5*l + 212. What is the remainder when m is divided by 30?
24
Let m be 3 + -78*1 + (-1 - 1). Let g = 91 + m. Calculate the remainder when g is divided by 5.
4
Let g(l) = l**3 - 1. Let m(r) = -53*r**3 - r**2 + 6. Let w(s) = -6*g(s) - m(s). Let f be w(1). What is the remainder when 19 is divided by f/5 + (-6)/(-15)?
9
Let o(z) be the second derivative of 5*z**4/12 - z**3/2 + z**2/2 + 2*z. Let q(r) = r**2 - 6*r - 7. Calculate the remainder when o(2) is divided by q(8).
6
Suppose -148 = 5*g - 1018. Suppose -5*k + 3*k + g = 3*v, -4*v - 368 = -4*k. Suppose 26 + k = 4*j. Calculate the remainder when 84 is divided by j.
26
Suppose -5*l + 118 + 82 = 0. Let y be 14/4*(-24)/(-42). Suppose 21 = y*h - h. What is the remainder when l is divided by h?
19
Let g = 1558 - 299. What is the remainder when g is divided by 36?
35
Suppose 5*f = 186 + 124. What is the remainder when f is divided by 27?
8
Suppose -4*n - 171 = -611. Let o = 107 + -73. Let q = n + o. What is the remainder when q is divided by 37?
33
Let q be 1*16 - (-13 + 17). Suppose 0 = p - 2*t - 12, 2*t = -2*p - 3*t - q. What is the remainder when 41 is divided by p?
1
Let i = 160 + -133. Calculate the remainder when i is divided by 11.
5
Let d = -16 - -4. Let b(p) = -p**3 - 13*p**2 - 15*p + 1. What is the remainder when b(d) is divided by 13?
11
What is the remainder when 112 is divided by (19/(-1)*1)/(37/(-111))?
55
Let n be 16 + (-5)/(10/8). Suppose 2*l = l + n. Let f(k) = k + 21. What is the remainder when f(0) is divided by l?
9
Let u be (-1 + 1)*-1*-1. Let q(w) = w**2 + 12 + 1663*w + 3 - 1664*w. Calculate the remainder when 26 is divided by q(u).
11
Suppose -2*f - 6 = f. What is the remainder when 67 is divided by (-47)/f - (-8)/(-16)?
21
Suppose 0*a - 3*a = 2*y + 151, -172 = 2*y - 4*a. Calculate the remainder when y/(-6)*(-45)/(-10) is divided by 2*-6*(105/20)/(-3).
18
Suppose 6*w - 2215 - 311 = 0. Calculate the remainder when w is divided by 53.
50
Let p(a) = -a**3 - 4*a**2 - 2*a - 4. Let j be p(-5). Let r be (-14)/35 - (-67)/5. Let h = j - r. Calculate the remainder when h is divided by 5.
3
Suppose -3*g + 155 + 37 = -3*m, -5*g + 329 = 4*m. Calculate the remainder when g is divided by 27.
11
Let g(a) = 20*a - 148. Calculate the remainder when 190 is divided by g(9).
30
Suppose -671 = -3*q - 377. What is the remainder when q is divided by 29?
11
Calculate the remainder when 1*(-2*(5 - 4) + 85) is divided by 20.
3
Suppose 10 = -2*v + 18. Suppose 5*f + l = 14, 2*f + v*l - 16 - 4 = 0. Suppose 5*z = f*z + 180. What is the remainder when z is divided by 21?
18
Let t = -229 + 71. Let i = -106 - t. What is the remainder when i is divided by 28?
24
Let q(a) = -2*a**3 + 3*a**2 + 4*a + 3. Let z = 55 - 13. Suppose -4*g + 5*l = -0*l - 58, 3*l - z = -4*g. What is the remainder when q(-2) is divided by g?
11
Let n = 134 - 33. Suppose -5*t - 2*a = 2*a - 98, -5*t + n = 3*a. Calculate the remainder when t is divided by 6.
4
Let p = 41 - 48. What is the remainder when (-1112)/p + (-17)/(-119) is divided by 27?
24
Suppose -117 = 54*v - 57*v. Calculate the remainder when 189 is divided by v.
33
Suppose 5*h = -2*c + 230 + 265, -c = -3*h + 297. Calculate the remainder when h is divided by 37.
25
Calculate the remainder when (-32 - -28)*13/(-2) is 