 = -4*k + 2859. What is the remainder when k is divided by 179?
172
Suppose -18 = -6*i - 0*i. Let u = -1 + 17. Calculate the remainder when (-5)/(-10)*(i + -1 + 120) is divided by u.
13
What is the remainder when (50/40)/(31/620) is divided by 3?
1
Suppose -8*g + 5*g = -528. Let b = -127 + g. What is the remainder when 243 is divided by b?
47
Suppose 130 = 4*s + 22*j - 21*j, 0 = -2*s - j + 64. What is the remainder when 2241 is divided by s?
30
Let s(t) = 3*t**3 - 8*t**2 - 124*t - 7. What is the remainder when s(9) is divided by 97?
28
Let a be (-59 + 7)/13*(-38)/8. Suppose 0 = -2*w - s + a, 4*w + 4*s = s + 35. Let l(y) = 2*y**2 - 2*y + 4. What is the remainder when l(-3) is divided by w?
6
Suppose -i - 5*q = -5*i + 7, i + 2 = 5*q. Suppose -i*a + 475 = -173. Suppose 8*o = 5*o + a. What is the remainder when o is divided by 26?
20
Let b(c) = -2*c**3 + 21*c**2 + 8*c + 32. What is the remainder when b(9) is divided by 111?
14
Let f = 4359 + -4185. Suppose 3*n + 2*n = 0. Suppose n = 5*y - f - 136. What is the remainder when y is divided by 7?
6
Let r(m) = -m**3 - 6*m**2 - 2*m + 4. Let j(s) = 13*s + 105. Let d be j(-8). What is the remainder when r(-6) is divided by (22 + -23)/(d*(-3)/33)?
5
Suppose 3*d - 38 = -c, 0 = 5*c + 5*d - 61 - 89. Suppose 4*j = 11*j - 133. Suppose -j*t - 20 = -24*t. What is the remainder when c is divided by t?
2
Let n = 1619 - 1436. What is the remainder when n is divided by 63?
57
Let d(g) = -71*g**2 - 627*g - 1. Calculate the remainder when d(-8) is divided by 59.
58
Let w(a) = 3*a**2 - 42*a - 24. Let p(s) = -s**2 + 22*s + 12. Let q(r) = -5*p(r) - 2*w(r). Calculate the remainder when q(-8) is divided by 45.
42
What is the remainder when (-84)/(420/15) - (3/3 + -232) is divided by 50?
28
Suppose -3*h + 307 = -2*k, 4*h - 14*k + 19*k - 440 = 0. What is the remainder when 336 is divided by h?
21
Let b(m) = -170*m - 1798. What is the remainder when 743 is divided by b(-11)?
23
Suppose 5*u = 4*j + 794, 0 = 3*u + 3*j - 411 - 87. Suppose q = -3*b + u + 25, -4*q + 55 = b. Calculate the remainder when b is divided by -40*(-3 - 13/(-5)).
15
Let r = 460 - 361. Calculate the remainder when r is divided by 56.
43
Let f(y) = y**2 + 3*y - 84. Let i be f(12). Let h = 190 - i. Calculate the remainder when h is divided by 32.
30
Suppose 0 = 3*n - 7*g + 9*g - 13, 3*g = 3*n + 12. What is the remainder when 2 is divided by n/(15/22 - 8/44)?
0
Let v(i) = -99*i - 104. What is the remainder when v(-2) is divided by 2?
0
Let q = 102 + -98. Suppose 15*g = q*g + 770. Suppose 2 = -2*m + 5*w + 6, -5*m = w - 64. Calculate the remainder when g is divided by m.
10
Let b(g) = 234*g + 336. Calculate the remainder when 8770 is divided by b(-1).
100
Let q be (-6948)/(-8) + -6 - 2/4. Let t = -850 + q. What is the remainder when t is divided by 7?
5
Suppose -2*r - 501 = -3*h, 2*h - 42*r + 41*r - 334 = 0. What is the remainder when 507 is divided by h?
6
Suppose 1052*h - 16 = 1053*h. Let u(n) = -n**2 - 29*n - 163. Calculate the remainder when 131 is divided by u(h).
41
Suppose -8*n + 3*n = -15. What is the remainder when (-1152)/(-336)*14/n is divided by (-1 + 2)*(1 + 8)?
7
Let p = -462 + 501. Let f = 286 + -135. What is the remainder when f is divided by p?
34
Suppose -24388 + 26594 = 154*f - 95430. Calculate the remainder when f is divided by 55.
29
Suppose -895*p - 2*n - 1883 = -898*p, 3*n + 3138 = 5*p. What is the remainder when 1882 is divided by p?
1
Let r = 755 - 335. Let a = -256 + r. What is the remainder when a is divided by 33?
32
What is the remainder when 227 + 0 + (9/12 - (-48)/192) is divided by 89?
50
What is the remainder when ((-87)/5)/(0 - (-18)/(-90)) is divided by 32?
23
Let v = 56 - 54. Suppose -v*y = 2*n - 88, n - y + 7 = 53. Suppose 0 = 3*g, -g + n = 3*l + 4*g. What is the remainder when 58 is divided by l?
13
Suppose -2*i = -10 - 26. What is the remainder when ((-1610)/207)/(12/(-54)) is divided by i?
17
Let d(y) = 2*y**2 + 44*y - 650. What is the remainder when 619 is divided by d(-34)?
121
Suppose -29 + 4 = 5*o. Suppose 6*j - j = -2*b + 167, -5*b + 50 = 2*j. Calculate the remainder when (278/o)/((-15)/(-25) + -1) is divided by j.
34
Suppose -7510 = -35*g + 9570. What is the remainder when 1466 is divided by g?
2
Calculate the remainder when 42/(-70) - 11291/(-35) is divided by 37.
26
Let d be (-1)/2 - (0 + 15/(-6)). Suppose 2 = -b + n, -d*b + n - 5 + 2 = 0. Let w = 46 + b. What is the remainder when w is divided by 12?
9
Let v = -141893 - -141902. Calculate the remainder when (1*39 - -1) + 1 is divided by v.
5
Let b = 2192 - 1953. Calculate the remainder when b is divided by 66.
41
Suppose 11553 = 89*p - 7404 - 1068. Calculate the remainder when 475 is divided by p.
25
Let r(g) = 4*g - 5. Suppose -4 = 4*q + 4*l, 19*l + 12 = 16*l. Calculate the remainder when r(7) is divided by q.
2
Let q = 57259 + -57235. Let v(w) = 9*w**2 + 3*w - 1. Let b be (0 + -1)*2*-1. Calculate the remainder when v(b) is divided by q.
17
Let o be 7/(1*(7/(-2) + 3)). Let t(c) = c**3 + 12*c**2 - 28*c - 4. Let s be t(o). What is the remainder when 130 is divided by s/(-2) + 378/9?
42
Let j(w) = 50*w + 967. Calculate the remainder when j(-3) is divided by 45.
7
Suppose -4*w + 2050 = 6*w. Calculate the remainder when 433 is divided by w.
23
Let z(x) = x**3 - 13*x**2 - 13*x - 12. Let p be z(14). Calculate the remainder when (-3614)/(-65) - (-3)/(-5) is divided by 29/p + (-4)/8.
13
Suppose 1581 = 2*p + 389*l - 390*l, -12 = 4*l. What is the remainder when p is divided by 214?
147
Let r(v) be the third derivative of -v**6/60 - v**5/30 - v**4/8 - 7*v**3/3 - 34*v**2 - 3. What is the remainder when r(-3) is divided by 11?
9
Suppose 0 = -239*j + 237*j + 8. Suppose 2*a - o - 19 = 20, -20 = -j*o. What is the remainder when 85 is divided by a?
19
Let l = 99 + -10. Let c(j) = j**3 - 56*j**2 + j - 43. Calculate the remainder when l is divided by c(56).
11
Let i(d) = 64*d**2 + 88*d + 2. What is the remainder when i(-2) is divided by 38?
6
Let m(a) be the first derivative of 2*a**3/3 + 17*a**2/2 + 43*a + 93. Calculate the remainder when 135 is divided by m(-8).
30
Suppose -2*i - 3*h = 21, h - 26 = 5*i + 1. Calculate the remainder when i/(-4)*(-6656)/(-39) is divided by 87.
82
Let a = 6098 - 5259. Calculate the remainder when a is divided by 121.
113
Let b(h) = 7 + h - 2 + 2. Suppose 3*s - 14 + 1 = j, -j + 5*s = 19. What is the remainder when 18 is divided by b(j)?
0
Suppose -93*w = 4*f - 91*w - 3366, -3*w + 1693 = 2*f. What is the remainder when f is divided by 106?
97
Let w be ((-51)/(-85))/((-9)/(-60)). Calculate the remainder when 115 is divided by (5320/(-52))/(-2) + w/(-26).
13
Let b = -85 - -348. Let o = 468 - b. What is the remainder when o is divided by 35?
30
Suppose 0*x + 3*x + 5*w - 63 = 0, 0 = 4*x + 5*w - 79. What is the remainder when 182/(-273)*-2*(13 - -2) is divided by x?
4
Suppose 1907 + 4893 = 20*a. Let y = 377 - a. Calculate the remainder when 332 is divided by y.
36
Let u(z) be the third derivative of z**4/24 + 23*z**3/3 + 3*z**2 - 30*z. Calculate the remainder when 80 is divided by u(-17).
22
Suppose -2*z + 6 + 16 = 0. Suppose 150*u + 80*u = 46 + 1334. Calculate the remainder when z is divided by u.
5
What is the remainder when (264/352)/((-6)/(-59416)) is divided by 23?
21
Let p(d) = 7*d**2 - 50. Let r(m) = -2*m**2 - 2. Let l(w) = -p(w) - 3*r(w). What is the remainder when 105 is divided by l(-5)?
12
Let m = -11310 - -11317. Suppose 0*v + 4*v - 140 = -5*r, 0 = 4*r - 16. Calculate the remainder when v is divided by m.
2
Suppose 5*t - 3321 = -3211. Calculate the remainder when 272 is divided by t.
8
Suppose -7*a - 214 = -228. Suppose -5*b = 3*p - 59, 5*b - a = 2*p + 42. Calculate the remainder when 23 is divided by b.
3
Let n(v) = 28*v + 30. Let d be n(-1). Suppose 4*x + a = -2*a + 442, d*a = 3*x - 340. What is the remainder when x is divided by 58?
54
Suppose -34*t = -39*t + 6450. Suppose -7*f + 1111 + t = 0. What is the remainder when f is divided by 87?
82
Let g(u) = -4*u - 16 + 33 - 12 - u. Let f be g(-6). Suppose 39*n = f*n + 28. What is the remainder when 20 is divided by n?
6
Let o = -5179 - -5421. What is the remainder when o is divided by 4?
2
Let k(p) = -p**2 + 91*p - 255. What is the remainder when 1541 is divided by k(88)?
2
Let p = -1022 + 204