Calculate the remainder when 322 is divided by b.
79
Suppose 3*z - 4*z + 2*d = -43, 199 = 5*z - 2*d. Let x be 6/(-15) + z/(-15). Calculate the remainder when x + (-52)/(-16) - 563/(-4) is divided by 24.
21
Let j(q) = q**3 - 10*q**2 - 2*q + 3. Calculate the remainder when j(0) is divided by 3.
0
Let c be (-552)/322 - (-2)/(-7). Calculate the remainder when -189*(4 + c + -3) is divided by 57.
18
Suppose -1 = 3*x - 4*y - 16, -2*x - 7 = 3*y. Let h(a) = a + 6. What is the remainder when h(-5) is divided by x?
0
Let n = 70 + -46. Suppose 0 = -0*r - 10*r + 640. Calculate the remainder when r is divided by n.
16
Suppose -23 = -2*o - 5*m, -2*m + 9 = 3. Suppose -5*t + 19 = o*g, -g + 0 = 4*t + 9. What is the remainder when 108 is divided by g?
9
Let y(k) = 1001*k + 35. Let g be y(5). What is the remainder when g/96 - 5/(-2) is divided by 16?
7
Suppose 4*o = -21*g + 22*g - 100, 3*o = g - 95. Calculate the remainder when 273 is divided by g.
33
Let v be (0/1)/(-6 + 4). Let m be (-11)/(-2)*(-8 + v). Let s = 52 + m. Calculate the remainder when 63 is divided by s.
7
Let t(l) = 3*l - 54. Let f be t(19). Suppose -5*a + 38*j + 717 = 36*j, -f*a - 4*j + 425 = 0. Calculate the remainder when a is divided by 74.
69
Suppose 0 = 60*j - 387 - 1473. What is the remainder when 135 is divided by j?
11
Let s be -1 + (-2)/(-4 + 36/10). Calculate the remainder when 351/21 - (-4)/14 is divided by ((-17)/s - -5)*12.
8
Suppose -5*x + 10*x = 15. Suppose -2*a = -4*a + 4*n + 142, x*n - 71 = -a. What is the remainder when 127 is divided by a?
56
Suppose 5*p - 5545 = 5*j, -p + 1069 = j + 3*j. What is the remainder when p is divided by 38?
37
Let t = 15480 + -8301. Calculate the remainder when t is divided by 101.
8
Let n(i) be the first derivative of 11*i**2 - 140*i + 9. What is the remainder when 105 is divided by n(8)?
33
Let q = 78 - 23. Suppose -q*u = -68*u + 11466. What is the remainder when u is divided by 52?
50
Suppose 119 = 19*i - 52. Suppose -i*x - 43 = -124. Calculate the remainder when 9 is divided by x.
0
Suppose -127 = 2*x - 0*j + j, -x - 5*j - 59 = 0. Let w = x + 86. Let u(p) = -p**2 - 12*p - 15. What is the remainder when w is divided by u(-10)?
2
Let h(o) = 3*o**2 + 160*o + 95. Let c = -1 - -12. What is the remainder when h(-53) is divided by c?
9
Let g be -2 + (-22)/(-4) + (-36)/24. Suppose -4*i + g*i + 32 = 0. What is the remainder when 51 is divided by i?
3
Let k(i) = 10*i**2 - 948*i + 39. Calculate the remainder when 230 is divided by k(95).
1
Let q(u) = 2*u - 34. Let m be q(21). Suppose m*k - 14*k = -804. Suppose k*w = 135*w - 53. What is the remainder when w is divided by 11?
9
Calculate the remainder when (-1)/6 - (8607/21)/(792/(-924)) is divided by 245.
233
Let m(f) = -20*f - 24 + 40*f - 8 + 2*f**2 + 0*f**2. Calculate the remainder when 29 is divided by m(-12).
13
Let f(o) = 4*o**3 - 22*o**2 + 14*o - 12. Let x be f(5). Let b be ((-2)/5)/((-6)/90). Calculate the remainder when 25 is divided by 99/b + x/(-16).
9
Let k = -1197 + 831. What is the remainder when 343 is divided by (k/(-30) + 5)*20/8?
42
Suppose 2*b = -g + 53 + 123, 5*b + 211 = g. Suppose 0 = -3*r + 3*t + g, 0*t + 4 = -4*t. What is the remainder when r is divided by 40?
21
Suppose 20*l = 24*l - 16. Let d be -61 + 3 + -7 + 8. Calculate the remainder when (-2)/4*(20/(-4) + d) is divided by l.
3
Let i(r) = 16*r**3 + 114*r**2 - 3*r - 49. What is the remainder when 20439 is divided by i(-7)?
69
Let k(l) = l**3 + 26*l**2 + 49*l - 28. What is the remainder when k(-23) is divided by 37?
25
Suppose -134277 = -152*n + 21371. Calculate the remainder when n is divided by 116.
96
Let m(g) = g**2 - 4*g - 26. Let d be m(8). Calculate the remainder when (70/d)/((-16)/(-48)) is divided by 9.
8
Let x(z) = -4*z - 2. Let i be x(-2). Calculate the remainder when ((-9)/(-6))/((-14)/(-924)) is divided by 15/(i/(-2))*-5.
24
Let r(x) = -x**2 - 13*x. Let a be r(6). Let o(q) = -61*q**3 - q**2 - q + 1. Let w be o(1). Let n = w - a. Calculate the remainder when 154 is divided by n.
50
Suppose -48*x + 888 = 4*s - 46*x, -s = 4*x - 201. Calculate the remainder when s is divided by 42.
15
Let k = 1357 - 1327. Suppose 3*c = -m - 0*m + 242, -331 = -4*c - 3*m. Calculate the remainder when c is divided by k.
19
Suppose -5*a + n + 4 = 0, 4*a - 2*a + 4 = -n. Suppose 23*c - 8*c - 1860 = a. What is the remainder when c is divided by 14?
12
Suppose -h + 352 = 16. Let v = -279 + h. What is the remainder when v is divided by 9?
3
Suppose 3*c = -2*f + 77, 86 - 216 = -4*f + 2*c. Suppose 0 = -12*u + f + 266. Calculate the remainder when 68 is divided by u.
18
Let b(d) be the second derivative of -d**5/10 - 3*d**4/2 - 5*d**3/3 - 10*d**2 + 2*d - 3. What is the remainder when b(-9) is divided by 19?
13
Let w = -4150 - -4760. Calculate the remainder when 1839 is divided by w.
9
Let q(t) = t**3 + 3*t**2 + 5*t + 4. Let h be q(-4). Let f = h + 139. What is the remainder when f is divided by (((-1818)/(-404))/((-2)/(-4)))/1?
8
Suppose -679 = 5*c - u, -4*c - 266 = -2*c + u. Let j = 201 + c. Suppose z + j = 4*z. What is the remainder when 40 is divided by z?
18
Let d(r) = -1014*r - 11583. What is the remainder when d(-12) is divided by 6?
3
Suppose 5*s = -3*j + 1684, -2*j = -1 - 5. Suppose -18*k = -23*k + s. What is the remainder when k is divided by 23?
21
Suppose 60*a - 3929 = 9991. Calculate the remainder when 1177 is divided by a.
17
Suppose 4*p - 15*o + 16*o = 48, -5*p = 4*o - 60. Let d(g) = -g**3 + 13*g**2 + g + 38. What is the remainder when d(p) is divided by 28?
26
Suppose 62 + 2048 = d - a, -3*d - 5*a + 6282 = 0. Calculate the remainder when d is divided by 28.
4
Let d = -144 - -159. Suppose 3*x + d = 45. Let g(n) = n**3 + 7*n**2 + 6*n + 6. What is the remainder when g(-5) is divided by x?
6
Suppose -2*y + 2633 = -a, 5*a - a + 4*y + 10568 = 0. Calculate the remainder when 2/(13/(a/(-14))) is divided by 9.
2
Calculate the remainder when 4521 is divided by (-125136)/(-720) - (-1)/5.
171
Let u be (-35)/((-49)/7)*(-2)/5. Let h be 0 + 152 - u/6*-6. What is the remainder when (h/(-8) - 1)/(22/(-88)) is divided by 10?
9
Let v(z) = -6*z - 118. What is the remainder when 195 is divided by v(-51)?
7
Let b = 687 - 197. Suppose -1545*g - 105 = -1552*g. Calculate the remainder when b/12 + 6/36 is divided by g.
11
Suppose -5*a + 2*g = -0*a - 1250, 1013 = 4*a + g. Suppose 6*h = 10*h - a. What is the remainder when 68 is divided by h?
5
Suppose 4*v + 55 = 5*j, -3*j + v - 1 + 34 = 0. Let m be 9 + (-5 - 46)*17. Let y = -827 - m. Calculate the remainder when y is divided by j.
9
Suppose 2*c = 5*z - 4, -11 + 20 = 3*c. Suppose 2*k = -10, -k = z*a - 2*k - 91. Calculate the remainder when 80 is divided by a.
37
Let m = -30 - -58. Let d = -434 + 439. Let b(u) = u**3 - 3*u**2 - 13*u + 23. What is the remainder when m is divided by b(d)?
4
Let d = 2914 - 2804. What is the remainder when 575 is divided by d?
25
Let b(h) = -42*h - 82. Let s be b(-3). What is the remainder when 31 is divided by s/4 + -4 - -5?
7
Suppose -5*r + 17 = 4*p + 14, 2*r + 3 = -3*p. Suppose 5*v - 6 + 1 = 0. What is the remainder when (28/(-12))/(v/(-3)) is divided by r?
1
Let r(s) = -s**3 - 17*s**2 - 44*s + 98. What is the remainder when r(-32) is divided by 76?
70
Let v = 8538 - 6861. Calculate the remainder when v is divided by 276.
21
Let h = 5 - -82. Let f = 1121 + -1108. Calculate the remainder when h is divided by f.
9
Suppose 0 = s + q + 1, 11 = s + 4*q - 6*q. Let m(w) = 3*w - 2. What is the remainder when (-130)/(-78) + 175/s is divided by m(6)?
12
Let b(h) = 6 - h**2 + 3*h - 4*h + 0*h + 6*h. What is the remainder when 47 is divided by b(4)?
7
Calculate the remainder when 29479 is divided by (3417/(-102))/((-6)/24).
133
Let t = -584 - -854. Suppose -5*l + t = -54*x + 56*x, 4*x = -l + 72. What is the remainder when l is divided by 29?
23
Let v = 422 - 288. What is the remainder when (-32)/(-80) + (-4016)/(-10) is divided by v?
0
Calculate the remainder when 933 is divided by ((-14)/35)/((-10)/2625).
93
Suppose 5*c = 26 + 34. Let a = -6 - -5. Calculate the remainder when 4 + a - (2 - 46) is divided by c.
11
Suppose 2*m - 368 = 4*c - 2*m, -10 = -2*m. Let z = c - -177. Suppose -16*w + z = -758. Calculate the remainder when w is divided by 14.
11
Suppose 4*v - 63 = 165. Let o = -478 - -491