culate the remainder when b is divided by 56.
54
Suppose 75 = 2*w + g, -12*w + 3*g - 65 = -14*w. What is the remainder when w is divided by 13?
1
Let x be 1 + (-73)/(-2) - 18/12. Suppose -2*k - 47 = -4*s - 15, -2*s - 4*k + x = 0. What is the remainder when 128 is divided by (-4)/(-10) + 256/s?
24
Suppose -d = 2*a - 4*a - 12, -a + 71 = 5*d. Let j(g) = g**3 - 16*g**2 + 33*g - 38. What is the remainder when 188 is divided by j(d)?
28
Let n = -3728 - -3754. Let z(u) = 2*u**2 + 5*u + 2. Calculate the remainder when n is divided by z(-4).
12
Suppose 3*i = 0, -3*x + 162 = -i + 5*i. Suppose 4*d - x = -5*d. Let o = d + 9. What is the remainder when 58 is divided by o?
13
Let g(y) = 3*y**3 - 41*y**2 + 4*y + 4. What is the remainder when 1941 is divided by g(15)?
13
Let t = -3878 + 3811. Let r be ((-4)/6)/((-3)/(-765)). Let p = t - r. Calculate the remainder when p is divided by 35.
33
Let q(y) be the second derivative of -2*y**3 + 21*y**2 - y - 2. What is the remainder when q(-19) is divided by 16?
14
Let d(g) = 3*g + 61. Let u be d(-17). Calculate the remainder when ((-5)/u)/((-3)/174*1) is divided by 15.
14
Let b = 141 - 234. Let d = -93 - b. Suppose 16*z - 18*z + 42 = d. What is the remainder when 103 is divided by z?
19
Let g = 2326 + -2281. What is the remainder when 288 is divided by g?
18
Suppose 3*p + 1 = -5*t, 5*t - 16 = p - 9. Calculate the remainder when 5*(96/5 + -2) is divided by 3913/129 - p*(-2)/3.
28
Let q = 15 - 1. Suppose -3*d + 3*g + 201 = 0, -3*g + 75 = d - 0*d. Suppose -p + 269 = 5*u - 0*p, -u - 4*p = -d. Calculate the remainder when u is divided by q.
11
Suppose -4*y + 6*y - 157 = -a, 0 = -3*y + 5*a + 255. Let z = 89 - y. Calculate the remainder when 84 is divided by z.
3
Let g(y) = -y**3 - 17*y**2 + y + 9. Let q be g(-17). What is the remainder when q/10 - 2337/(-15) is divided by 12?
11
Let k = -103 + 148. Suppose -2*z + 5*x - 214 + 119 = 0, -15 = -3*x. Let u = k + z. Calculate the remainder when 68 is divided by u.
8
Let l(o) = -o**2 + 29*o - 195. Let a be l(20). Let p(t) = t + 172. Let s = 80 + -48. Calculate the remainder when p(a) is divided by s.
29
Let p(d) = -9*d + 2. Let a be p(-2). Let n be 4 + (0 - 5) - -11. What is the remainder when 72/n*a/6 is divided by 7?
3
Let m = -311 + 712. Suppose -10*h + 1489 = -m. What is the remainder when h is divided by 16?
13
Suppose -56 + 652 = 14*w - 90. What is the remainder when 1025 is divided by w?
45
Let j = 5958 + -5846. What is the remainder when 543 is divided by j?
95
Let n = -4655 - -4917. Calculate the remainder when n is divided by 110.
42
Suppose -2*l - 54*a = -58*a + 18, 3*l - 5*a = -22. Suppose -4*m + 955 = 5*g, -l = 3*m + 14. What is the remainder when g is divided by 51?
42
Suppose 4*p = -3*h + 158, p + 30*h = 25*h + 65. Calculate the remainder when (-2 - 1254/(-3)) + 2 is divided by p.
33
Suppose -v + 24 = v. Suppose 3*o + 2*f + 45 = 0, -6*o - 62 = -o - f. Let h = o + 34. Calculate the remainder when h is divided by v.
9
Suppose -u = -4*b + 298, -2*b + u + 90 = -58. Calculate the remainder when 99 is divided by b.
24
Suppose 1164 = 66*o - 52*o - 5108. Calculate the remainder when o is divided by 38.
30
Let b = -2319 + 2862. What is the remainder when b is divided by 46?
37
Let j(i) = -6*i + 708. What is the remainder when j(-28) is divided by 14?
8
Let c = 3953 - 1463. Suppose -33*v + c = -678. What is the remainder when v is divided by 13?
5
Let t(r) be the third derivative of -r**5/20 + r**4/24 + 16*r**3/3 + 66*r**2. What is the remainder when 115 is divided by t(0)?
19
Let b(i) = 8*i**2 - 606*i - 271. Calculate the remainder when b(78) is divided by 372.
17
Suppose 2*d = -4*r + 23 + 313, 262 = 3*r + 4*d. Suppose 7*g = 3*g - 168. Let c = -21 - g. Calculate the remainder when r is divided by c.
19
Suppose 4*c - 48*r + 44*r - 140 = 0, c + 3*r - 43 = 0. What is the remainder when 292 is divided by c?
33
Suppose -10*m = -5*m + 10. Let g be (-4*30/36)/(m/(-3)). Let u(o) = -27*o - 1. Calculate the remainder when u(g) is divided by 27.
26
Suppose 5*k - 25 = 0, -17*k = 3*x - 22*k + 40. Let a(u) = u**3 + 8*u**2 + 8*u - 5. Calculate the remainder when 88 is divided by a(x).
28
Let l be ((-18)/(-12))/(1/(-6)). Let j be (l*3/9)/((-1)/(-3)). Let f(b) = b**2 + b - 28. What is the remainder when f(j) is divided by 20?
4
Let d(a) = 11*a**3 + 3*a**2 - 2*a - 10. Calculate the remainder when d(3) is divided by 29.
18
Let y(w) = -305*w + 11057. Calculate the remainder when y(30) is divided by 71.
61
Suppose -203 = -5*q - 2*q. Suppose -v + 5*z = -20, 2*v - 25 = -4*z + q. Suppose -12 = 3*w, 5*w + v + 16 = y. Calculate the remainder when y is divided by 11.
10
Suppose z - 3*i - 91 = 0, 26*i - 23*i = -5*z + 455. Calculate the remainder when z is divided by 26.
13
Let m = 24 + 20. Let g = m + -42. Suppose -4*i = g*i - 360. Calculate the remainder when i is divided by 16.
12
Suppose 87*h + 2004 - 3135 = 0. Calculate the remainder when 2362 is divided by h.
9
Suppose -10 = -4*x - 2. Suppose -3*w + 41 = 2*q, -5 = -q - 4*w + 13. What is the remainder when 84 - (x*-1 - 0) is divided by q?
20
Suppose -2*s - 4*v + 3470 = 0, 2*s = -2*s - 3*v + 6920. Calculate the remainder when s is divided by 13.
11
Let j = 17241 - 16215. Calculate the remainder when j is divided by 150.
126
Let a = 516 - 539. Let v(x) = -x**3 - 23*x**2 + 26. Calculate the remainder when 37 is divided by v(a).
11
Suppose -5*t + 2 - 12 = 0. Let q be ((-24)/(-10))/(t/(-5)). What is the remainder when 83 is divided by 230/q + 5 - (-1)/(-3)?
40
Let p(k) = -k**2 + 5*k + 8. Let u be p(6). Suppose n - 5*r = 14, -u*n = 3*r - 1 - 1. Calculate the remainder when n is divided by 1.
0
Calculate the remainder when (-384)/(-48) - (-43 + 3) is divided by 8.
0
Suppose 0 = 2*b + 82 - 142. Suppose 0 = -i + 1. What is the remainder when i is divided by b/12 + (-12)/8?
0
Suppose -342 + 330 = g - 5*g. What is the remainder when 991 is divided by g?
1
Let o(q) = 3*q**2 - 30*q + 104. What is the remainder when o(22) is divided by 41?
35
Let y = 49 + 41. Let j = -87 + y. Suppose -r + 2*t = -18, 5*t + j = -r - 0*t. What is the remainder when r is divided by 7?
5
Suppose -x + 3 = -44. Let g = 63 - x. Calculate the remainder when 28 is divided by g.
12
What is the remainder when 80/6*(3450/(-200))/(-1) is divided by 54?
14
Calculate the remainder when 246 is divided by (4 - 63/15)/(4/940*-1).
11
Suppose -979*p - 238 = -980*p. Calculate the remainder when 459 is divided by p.
221
Let n = 10 + 6. Suppose -5*w + 2*y + n = -7, -2*w = y - 2. Suppose 5*m - 468 = w*t, 0*t - t - 92 = -m. Calculate the remainder when m is divided by 33.
30
Let s(t) = -27*t + 1925. Calculate the remainder when s(65) is divided by 25.
20
Suppose 5*i + 37 - 112 = 0. Let h = 24 + -15. Let k = i - h. Calculate the remainder when 47 is divided by k.
5
Let h be (-2)/(-2) - (5 + 16) - -4. Suppose 10 = r + 2*z - 6, -3*r - 4*z = -40. Calculate the remainder when r is divided by (-80)/h*(-3)/(-5).
2
Let z(f) = f**3 - 14*f**2 + 18*f - 27. Suppose 9*n = 14*n - 65. What is the remainder when 264 is divided by z(n)?
36
Suppose 0 = 2*m - 44*a + 41*a - 87, 105 = 2*m + 3*a. Let i = 188 - 6. What is the remainder when i is divided by m?
38
Suppose -46*w - 43630 = -51*w + 5*t, -5*w = t - 43630. What is the remainder when w is divided by 301?
298
Let f be (-15235)/(-35) + -10 + (-4)/14. Let a = 428 - f. What is the remainder when 40 is divided by a?
1
Suppose -3*w + 3 + 13 = q, -4*q + 42 = w. Suppose -77 = -q*v - v. What is the remainder when (-8)/(-36) + (-446)/(-18) is divided by v?
4
Let i(b) = b**3 + 21*b**2 + 41*b - 32. What is the remainder when 871 is divided by i(-18)?
63
Suppose 2*k - k = 46. Let u be -1 + 55/3 - 26/(-39). Suppose 20*x - u*x = 48. Calculate the remainder when k is divided by x.
22
Suppose -158*c = -162*c - x + 140, -5*x = 0. What is the remainder when 179 is divided by c?
4
Let r(a) = 2*a**2 + 56*a - 411. What is the remainder when 320 is divided by r(7)?
4
Let r(s) = 134*s**2 + 390*s. Calculate the remainder when r(4) is divided by 11.
8
Let f = 232 - 228. Suppose 3*h + h = 5*t + 52, -5*t = f*h - 52. What is the remainder when 22 is divided by h?
9
Suppose -304585 = -88*s + 27087. What is the remainder when s is divided by 14?
3
Let i = -25 + 38. Let p(a) = -8*a - 5. Suppo