255
Suppose 5*k + 3*o = 10206, o = 43*k - 47*k + 8169. What is the remainder when k is divided by 33?
30
Let b(l) = -50*l - 168. Let f be b(-20). Suppose -2*x + 60 + 12 = 0. Calculate the remainder when (-4)/(-6 - f/(-140)) is divided by x.
34
Calculate the remainder when (-10)/16*-62*8 is divided by (-6)/((-450)/(-65) + -7).
76
Suppose -4*g = 20, 5*q + 51 + 4 = -3*g. Let p(w) = w**3 + 9*w**2 - 8*w + 14. Calculate the remainder when p(q) is divided by 36.
34
What is the remainder when 578 is divided by 6 + 75/(-3)*(-6 + 28/10)?
62
Suppose p + a - 636 = 853, -2*p - 11*a + 2987 = 0. Calculate the remainder when p is divided by 452.
132
Let y(a) = -a**2 - 4*a + 133. Let w be y(24). Let h = 556 + w. What is the remainder when h is divided by (-130)/(-14) - 4/14?
8
Calculate the remainder when (65880/420)/((-1)/(-7)) is divided by 10.
8
Suppose -23*b + 130 + 31 = 0. Calculate the remainder when b is divided by (4 - 0) + 3 + (-9)/3.
3
Suppose -5*v - 135 = -5*m + 4*m, -4*v + 1584 = 18*m. Let k = 2637 + -1559. What is the remainder when k is divided by m?
88
Suppose -y - 10 = -w, w + 20 = 6*w. Let a(m) = 4*m**2 + 18*m + 26. Calculate the remainder when a(y) is divided by 21.
20
Let u = -166 - -455. What is the remainder when (-34)/u + 1872/17 is divided by 19?
15
Let m = 13 - 6. Let r = -51200 + 51259. What is the remainder when r is divided by m?
3
Let u be (99/(-22))/((-1)/10). Let g = 70 - u. Suppose -3*h - 3*y + 222 = 0, 0 = 39*y - 43*y + 16. What is the remainder when h is divided by g?
20
Let u(p) = -7*p**3 - 5*p**2 - p + 1. Calculate the remainder when 2729 is divided by u(-2).
38
Let h be (28/(-10))/2 - (-6)/(-10). What is the remainder when 40 is divided by -3*(8/24)/(h/14)?
5
What is the remainder when (96 - 24/3)/2*76 is divided by 27?
23
Let w(o) = -21 + 36 + 35 + 2*o. Calculate the remainder when 359 is divided by w(-15).
19
Let y(p) = 13*p + 295. Calculate the remainder when 85 is divided by y(-21).
19
Let s(t) be the second derivative of t**5/5 + 25*t**4/12 + t**2 - t + 126. Calculate the remainder when s(-6) is divided by (-18)/15*(-20)/3.
6
Let c(d) = -d**3 - 2*d**2 - 22*d + 35. What is the remainder when 1114 is divided by c(0)?
29
Let s(o) = 2*o**2 + 106*o + 98. Let f be s(-61). Let z = f - 1049. Let v(i) = i**2 + 4*i + 3. Calculate the remainder when z is divided by v(-4).
1
Calculate the remainder when -12*1/4 - -3510 is divided by 90.
87
Let o(u) = 59*u**2 + 17*u - 397. What is the remainder when o(6) is divided by 33?
14
Suppose -p + 5 = -4*t, -4*t - 3*p = -2*t - 15. Suppose -s + 2 + 4 = t. Let m(j) = 16*j - 41. What is the remainder when 217 is divided by m(s)?
52
What is the remainder when 1426 is divided by ((-771)/1028)/((-1)/124)?
31
Suppose -57209 = -336*v + 405799. What is the remainder when v is divided by 199?
184
Let m(i) = -11*i + 97. Let d be m(9). What is the remainder when 75 is divided by (-1624)/(-42) - d/(-3)?
37
Let u = -20 + 25. Suppose -u*m = -29 + 4. What is the remainder when (10 - 8) + (-108)/(-6) is divided by m?
0
Let x be (83 + -103)/(0 - -1). Let z = x - -45. Calculate the remainder when z is divided by 15.
10
Suppose -2*c = -3*c + 9. What is the remainder when (-14)/(-3)*-2*(11856 - 11859) is divided by c?
1
Let d be 108 + ((-4)/2 - -1). Let t = -76 + d. Calculate the remainder when t is divided by 2/(-17) - (-32592)/1904.
14
Suppose 0 = -16*t - 27 + 107. What is the remainder when 56 is divided by -15*((-2)/t - 21/(-105))?
2
Let w(f) = -22*f**2 - 23*f + 21. Let k be w(1). Suppose -r = 4*y + 2*r - 201, y - 51 = -r. What is the remainder when y is divided by (3/(-5))/((-3)/(-30)) - k?
12
Let n = 466 - 381. Calculate the remainder when 314 is divided by n.
59
Let d = -7 + -12. Let m(a) = -338 - 8*a + 291 + 36 + 0*a. Calculate the remainder when m(d) is divided by 37.
30
Suppose 4*p + 34*s - 496 = 38*s, -2*s = -10. Calculate the remainder when 5030 is divided by p.
128
What is the remainder when (6/1)/(9 + (-88116)/9800) is divided by 364?
336
Let p(z) = -z**2 - 32*z - 212. Suppose 0 = -4*s - 1 + 17. Suppose -n + s = -1. What is the remainder when p(-10) is divided by n?
3
Suppose 5*u = 2*h + 293, 106*u - 155 = 103*u - 4*h. What is the remainder when 224 is divided by u?
53
Let r = 243 + -350. Let c be 5/3 + (-1860)/36 + -12. Let t = c - r. Calculate the remainder when 86 is divided by t.
41
Let y be 1/3 - (-82)/6. Let v = y + -5. Suppose 14*f - 34 - 50 = 0. Calculate the remainder when v is divided by f.
3
Suppose 2*n = z + 16 - 52, -z + 5*n + 30 = 0. Calculate the remainder when 102 is divided by (-534)/(-10) + (-16)/z.
49
Suppose 121*x - 128*x + 3780 = 0. Suppose 0 = 3*m + 32*p - 34*p - x, -m + 181 = -p. Calculate the remainder when m is divided by 23.
17
Let r(s) = 55*s**2 - s - 1. Let w be r(-1). Suppose -w = -8*p + 25. Calculate the remainder when (-535)/(-20) + 2/8 is divided by p.
7
Let c(h) = 3*h**2 + 93*h + 2004. What is the remainder when c(-42) is divided by 53?
51
Let s = -1955 + 2003. Suppose 32 = 4*d + 4*j, 5*j - 15 = -2*d + 4. Calculate the remainder when s is divided by d.
6
Let o = -5404 - -5420. What is the remainder when 523 is divided by o?
11
Let s(o) = -o**3 + o**2 - 9*o - 24. Calculate the remainder when s(-4) is divided by 8.
4
Let m(p) = -14*p**2 - 38*p - 211. Let z(d) = 5*d**2 + 13*d + 71. Let w(c) = 6*m(c) + 17*z(c). Calculate the remainder when 2 is divided by w(12).
0
Let v be ((-81)/(-162))/(1/82 + 0). Suppose -v = n - 4*n + 2*u, 5*n - 80 = u. Calculate the remainder when 48 is divided by n.
14
Let a = -368 + 376. Calculate the remainder when ((2 - -1)/12)/((-2)/(-824)) is divided by a.
7
What is the remainder when 862 is divided by 3/(-15) - ((-2)/(-10) - 7240/100)?
70
Suppose 18*l + 36 = 6*l. Let f be 0/(3*1/l). Suppose -9*k + 110 = -4*k - 5*o, o + 2 = f. Calculate the remainder when 77 is divided by k.
17
Let a(g) = 2*g**2 + 50*g + 96. Suppose -66 = -7*s + 10*s - r, -3*r = -3*s - 60. What is the remainder when 23 is divided by a(s)?
3
Let n be 7 + (1 - (-30)/(-6)). Suppose -2*w = 2*r - 76, -2*w + n*r = 2*r - 82. Calculate the remainder when w is divided by 14.
12
Suppose i = 112 + 8. Let s = 7279 + -7236. Calculate the remainder when i is divided by s.
34
Let n = -600 + 1197. Let b = n + -576. Calculate the remainder when 74 is divided by b.
11
Suppose -20*d + 246 = -614. Let z = 8 - -7. What is the remainder when d is divided by z?
13
Let c = 114 + -303. Let k be ((-14)/(-3))/((-18)/c). Let j = 51 - k. Calculate the remainder when 2 is divided by j.
0
Let t(k) = -337*k - 31. Let c be t(-6). Suppose 0 = 20*q - c - 709. Calculate the remainder when q is divided by 23.
20
Let n = -1094 - -699. Let p = -241 - n. Suppose -6*v = v - p. What is the remainder when 87 is divided by v?
21
Suppose -92*b = -8868 + 404. What is the remainder when 2745 is divided by b?
77
Suppose -38*n - 30240 = -44*n - 84*n. Calculate the remainder when 349 is divided by n.
13
What is the remainder when 3 + 2 + 29886/102 is divided by 297?
1
Let m = -237 - -244. Suppose m*g = -3*g + 570. Calculate the remainder when 625 is divided by g.
55
Suppose -2*w - 4*r + 816 = 0, 1766 = -19*w + 2*r + 9238. What is the remainder when 1579 is divided by w?
3
Suppose 5*d - h = 117, 113 = 3*d - 4*h + 19. Calculate the remainder when 2792 is divided by d.
20
Let c = -13781 - -13843. Calculate the remainder when 490/4 - 4/8 is divided by c.
60
Let q = 44 + -254. Let a = -149 - q. What is the remainder when a is divided by 32?
29
Suppose 6*u - 75 - 45 = 0. Suppose 0 = -y - u + 35. Calculate the remainder when 342 is divided by y.
12
Suppose -4*h + 4*k = -2448, -126*h + 4*k - 2392 = -130*h. Calculate the remainder when h is divided by 36.
29
Suppose -13*s = -25092 + 7204. Suppose 7*u - s + 984 = 0. What is the remainder when u is divided by 9?
2
Let m = -15599 + 15990. Calculate the remainder when 402 is divided by m.
11
Let i(v) = v**2 + 11*v + 10. Let a be i(-11). Suppose 4*r = -5*l + 49, -3*l = -a*r + 8*r - 25. Calculate the remainder when 31 is divided by l.
4
Calculate the remainder when 161 is divided by (-258)/301 - 244/(-7).
25
Suppose 0 = 142*i - 146*i - 4*n + 820, 0 = -3*i + 2*n + 635. What is the remainder when 717 is divided by i?
90
Suppose 0 = -41*v + 790 + 1137. What is the remainder when 1880 is d