he remainder when o is divided by 223.
20
Suppose -2*b - 2*b = 0. Let j be (b + 0 - -3) + 1. What is the remainder when 100 is divided by (-5 + j)/((-3)/51)?
15
Let o = 1967 + -1943. Let w(k) be the first derivative of -k**2/2 + 6*k + 2. What is the remainder when o is divided by w(-7)?
11
Suppose -14*s + 156 = -s. Suppose -4*v + 24 = 2*v. Suppose -21 = -3*d - v*p, 0*d + 5*p = 2*d + 9. Calculate the remainder when s is divided by d.
0
Suppose -3*l = -5*l + 8. Suppose -r + 4*s + 190 = 0, 0 = -r - l*s + 5*s + 202. Calculate the remainder when r is divided by 53.
47
Suppose -114*o = -340*o + 271878. Calculate the remainder when o is divided by 151.
146
Suppose 2*m = -4*b + 7866, 0 = 2*b - 91*m + 89*m - 3954. What is the remainder when b is divided by 218?
8
Let q(p) = 3*p - 18. Let b be 4 + 102/(-21) + (-2)/14. Let s be (-4)/(b*(-4)/32*-4). What is the remainder when 65 is divided by q(s)?
5
Suppose -232*u = -227*u - 70. Let f be 0/(-2) + (17 - 9). What is the remainder when (-46)/f*(-5 + 10 - 17) is divided by u?
13
Suppose -2*n = -541 + 91. Let j be n/(-6)*(-8)/(-3). Let i = -92 - j. Calculate the remainder when 30 is divided by i.
6
Suppose 16*l - 1485 = -29*l. Calculate the remainder when 97 is divided by l.
31
Let n(a) = 522*a + 2796. Calculate the remainder when 367 is divided by n(-5).
181
Suppose 266*p + 240 = 272*p. What is the remainder when p is divided by 40?
0
Let k = 182499 + -182477. Let t = -2 + 4. Calculate the remainder when k is divided by t.
0
Let t(d) be the third derivative of -2*d**4/3 + 77*d**3/6 - 2*d**2 - 33*d. Calculate the remainder when t(-4) is divided by 72.
69
Suppose -20*r = -16*r - 4*t - 1020, 5*t = -3*r + 805. What is the remainder when r is divided by 84?
8
Let o = 21 - 21. Suppose o = 9*k + 6 - 6. Suppose k = -2*u - 2*u + 28. What is the remainder when 23 is divided by u?
2
Let x = 12617 + -12548. What is the remainder when 1084 is divided by x?
49
Let f be (-9)/54 + 1/6. Let z(t) = -t**3 + 2*t**2 - t + 7. Let i be z(f). Suppose 8 = -i*s + 64. Calculate the remainder when 31 is divided by s.
7
Let w(q) = 160*q**2 - 974*q + 94. Suppose -t - 84 = -673. Calculate the remainder when t is divided by w(6).
9
Let q = -7971 + 7981. What is the remainder when 56 is divided by q?
6
Let y be -2 + -5*(4 + -2). What is the remainder when 3*(4 - 172/y) is divided by 58/3 - ((-104)/(-24) - 4)?
17
Let o(h) = 6*h**2 + 37*h - 64*h + 6*h**2 - 10*h**2 - 57. Calculate the remainder when o(17) is divided by 13.
10
Let n = 1941 + -1914. Suppose 2*f + 4 = -8. What is the remainder when (-2520)/(-49) + f/14 is divided by n?
24
Suppose -1976 = -4*v + 5*l, -434*l + 439*l = 3*v - 1472. Calculate the remainder when v is divided by 96.
24
Suppose -3*m + 1093 = 4*a, -5*a - 4*m + 1489 = 122. Suppose 4*v = -3*u + a, 2*v + 6*u - 10*u - 130 = 0. Calculate the remainder when 333 is divided by v.
65
Let v(x) = 22*x - 186. Let a be v(10). Suppose a*s - 25 = 29*s - 2*g, 0 = -3*s + g + 26. What is the remainder when 648 is divided by s?
4
Let z(r) = -14*r. What is the remainder when (3 - -21)/6*(38 - -3) is divided by z(-4)?
52
Let z = -2765 + 3301. What is the remainder when 2167 is divided by z?
23
Suppose -10*k + 13635 = 2185. Calculate the remainder when k is divided by 235.
205
Suppose 3*q + 816 = 5*x, 0 = -3*x - q + 3*q + 490. What is the remainder when x is divided by 93?
69
Let l(i) = 2*i**2 + 164*i - 265. Calculate the remainder when l(-84) is divided by 42.
29
Let s(z) = 6*z + 9 + z**3 + 24 - 11 - 21*z + 15*z**2. What is the remainder when 29 is divided by s(-16)?
5
Let t(c) = 2*c**3 - 14*c**2 + 8*c**2 + 16*c**2 + 2*c + 9. Let d be t(-5). Calculate the remainder when (29 - 10) + 2/d - 1 is divided by 2.
0
Let l = -776 - -828. Calculate the remainder when 93 is divided by l.
41
Let q = -4220 - -4272. What is the remainder when 302 is divided by q?
42
Suppose -4*m = -6*m - 3*m. Suppose 7*p - 120 - 328 = m. What is the remainder when p is divided by 22?
20
Calculate the remainder when 1 + 3 + -5 + 508/(-12)*-12 is divided by 81.
21
Let m(h) = h**3 + 113*h**2 + 104*h + 247. What is the remainder when m(-112) is divided by 260?
103
Let a(l) = 87*l - 252. Let c(f) = -25*f + 72. Let y(g) = -5*a(g) - 18*c(g). Let k be y(8). Let b = k + -78. Calculate the remainder when 34 is divided by b.
4
Let b = -506 - -515. Let s(u) = -13*u**3 + 2*u**2 - 2*u + 2. Let a be s(2). What is the remainder when (-1)/2*(a + -2) is divided by b?
5
Let z = -410 - -421. Suppose 2*g - 4*u - 32 = 0, -2*g - 9*u = -z*u - 24. What is the remainder when 29 is divided by g?
5
Suppose -2*k - 9 - 9 = -2*g, 0 = 2*g + 3*k - 13. Suppose -250 - g = -6*n. What is the remainder when 556 is divided by n?
40
Let m(x) be the third derivative of x**4/24 + 9*x**3/2 - x**2. Let u = -9081 + 9075. What is the remainder when 82 is divided by m(u)?
19
Suppose -3*l + 833 = -99*u + 104*u, -l = 4. Calculate the remainder when u is divided by 34.
33
Let r = 14850 + -14815. What is the remainder when 658 is divided by r?
28
Let h = -126 + 231. Suppose -254*g + 266*g + 3888 = 0. Let u = -297 - g. What is the remainder when h is divided by u?
24
Suppose 1646 = 5*a - d, 0 = -630*a + 625*a - 4*d + 1666. What is the remainder when a is divided by 9?
6
Let u(t) = -19*t + 230. Let g be u(12). Calculate the remainder when 72 is divided by ((-60)/g)/((-18)/(-27)*-3).
12
Let o(y) = -97*y - 45. What is the remainder when o(-5) is divided by 3*(42/(-9))/(-7)*37?
70
Let v be (-9838)/(-10) + 8/(-10). Let a = -588 + v. Calculate the remainder when a is divided by 36.
35
Suppose 0 = 5*v - 30 + 10. Suppose -4*z - v*z + 64 = 0. Suppose 7*q + 12 = z*q. Calculate the remainder when 45 is divided by q.
9
Suppose t + 280 - 339 = -2*i, -3*t - i = -187. What is the remainder when 302 is divided by t?
50
Suppose -13*l - 460 + 1071 = 0. Calculate the remainder when 328 is divided by l.
46
Suppose -3*p = -j - 904, 8*p - 888 = j + 9*p. Let w = -873 - j. What is the remainder when 738 is divided by w?
16
Let v(y) = y**3 - 9*y**2 + 14*y + 7. Let g(o) = 4*o**3 - 36*o**2 + 57*o + 29. Let z(m) = 2*g(m) - 9*v(m). Calculate the remainder when 89 is divided by z(7).
8
Let q = -66 - -26. Suppose 0 = 12*c + 14*c - 1482. Let w = q + c. What is the remainder when 49 is divided by w?
15
Suppose 4*m = -w + 116, 2*w = 5*w + 3*m - 393. Let a = w + -53. Suppose -50*d = -1071 - 1029. What is the remainder when a is divided by d?
41
Let x(f) = f**2 + 16*f + 100. Let g be (1/(-4)*0)/(9 - 4). Calculate the remainder when x(g) is divided by 51.
49
Calculate the remainder when 351 is divided by 15 + (352/(-8))/(-1).
56
Let p(n) be the first derivative of 5*n**3/3 + n**2 + 17*n - 20. Calculate the remainder when 117 is divided by p(0).
15
Let i = 734 + -719. What is the remainder when 3823 is divided by i?
13
Suppose 5*s - 5 = -5*h, s + 3*h = -13 + 8. Let u be (-99)/(-21) + (-4)/(-14). Let q = 0 + u. Calculate the remainder when q is divided by s.
1
What is the remainder when 636 is divided by (-2)/(-15 + (-6 - -11)) + 3207/15?
208
Let k(x) = -21*x**2 + 338*x + 37. Calculate the remainder when k(15) is divided by 34.
8
Suppose 3*f = 4*o - 753, -531 = -5*o + 5*f + 404. What is the remainder when o is divided by 10?
2
Let d = 3979 + -3214. Calculate the remainder when d is divided by 51.
0
Suppose -75*m + 124668 = -197532. Calculate the remainder when m is divided by 215.
211
Let h be 1 + 3 + 60552/(-29). Let o = h - -3095. What is the remainder when o is divided by 13?
10
Let h(i) be the third derivative of i**5/60 + i**4/6 + i**3 + 8*i**2. Let x be h(-4). Calculate the remainder when 5 is divided by (6 + -10)*x/(-8).
2
What is the remainder when 963 is divided by (-8 - (-18 - 1))*(9/3 + 14)?
28
Suppose 1494 = 6*i + 114. What is the remainder when i is divided by (-71)/(-2) + 23/46?
14
Let s(d) = -12915*d + 77524. Calculate the remainder when 0 - -163 - (0 - -1) is divided by s(6).
26
Suppose 0 = -22*g + 11*g + 55. Suppose -g*x = 25, -4*o - x + 180 = o. Calculate the remainder when 108 is divided by o.
34
Suppose 0 = -3*v + 1058 - 362. Let r = -41127 + 41157. Calculate the remainder when v is divided by r.
22
Let c = -2369 - -2473. What is the remainder when 342 is divided by c?
30
Suppose 11*v + 15 = 5*d + 13*v, 3*d - 5*v = 9. What is the remaind