e i(-4). What is the remainder when a(l) is divided by 8?
2
Suppose -2*s = 12 - 40. Let q = 431 + -428. Suppose 2*f = -4*x + 204, f - q*f - 56 = -x. What is the remainder when x is divided by s?
10
Let r(v) = -v**3 + 4*v**2 - 2*v + 14. Let b be r(5). What is the remainder when (150/7)/((-66)/b + -3) is divided by 17?
14
Let u = -61 + 119. Calculate the remainder when u is divided by 30.
28
Let m(b) be the first derivative of b**4/4 - 2*b**3 - 5*b**2 - 4*b - 1. Suppose 134 = -21*k + 88 + 361. Calculate the remainder when m(8) is divided by k.
14
Let i = 36803 + -34019. What is the remainder when i is divided by 10?
4
Let o(j) = 23*j**2 - 33*j - 6. Let d be 57/38 - (-3)/2. Calculate the remainder when 711 is divided by o(d).
99
Suppose 17*k = 2*p + 22*k - 10, -4*p + k = -64. Suppose 4*c = 121 + 51. Suppose p = -4*h + c. What is the remainder when h is divided by 2?
1
Let l = -4059 - -4469. What is the remainder when l is divided by 143?
124
Let d(k) = -k**3 - k**2 - 182*k - 557. What is the remainder when 860 is divided by d(-3)?
6
Let a = -265 + 292. Suppose 0 = -u - 4*d + 17 + a, -312 = -5*u + 3*d. What is the remainder when u is divided by 22?
16
What is the remainder when (-196960)/(-280)*14/4 is divided by 164?
2
Suppose -14*x + 160 = 18*x. What is the remainder when 102 is divided by 3/x*180/6?
12
Let i(z) = z**2 - 3*z + 3. Suppose -2*o = -4*q - 52, -5*o + 5*q - 63 + 168 = 0. Calculate the remainder when i(7) is divided by o.
15
Suppose -33*m + 303*m - 299666 = m. What is the remainder when m is divided by 13?
9
Let q = 171 - 124. Suppose -2*u - 15 + 73 = 0. Let t = q - u. What is the remainder when 68 is divided by t?
14
Suppose 3*t - 11*n + 7*n = 157, 0 = -4*t + 5*n + 208. Calculate the remainder when 1847 is divided by t.
14
Let u(j) = -j**2 - 2*j + 5. Let p be u(-5). Let t = p + 22. Suppose -862*k - 380 = -331*k - 289*k - 318*k. Calculate the remainder when t is divided by k.
2
Let u be 1/((-1)/(-3)*1). Let p(m) = -11*m**2 + 8*m - 5. Let n be p(u). Let i = 155 + n. What is the remainder when i is divided by 19?
18
Let f = 8423 - 8373. Calculate the remainder when 996 is divided by f.
46
Suppose 5*a - 64 = 3*a - 2*y, 103 = 4*a - y. Suppose 10*b = 13 + a. Calculate the remainder when 11 is divided by b.
3
Let m = 1589 + -1585. Let f(y) = -y**3 + 144. Let r be f(0). Suppose 0 = -m*p + 4*a + 216, -3*a = -p + 4*p - r. What is the remainder when p is divided by 19?
13
Suppose -5*j - 8 + 151 = -2*a, 0 = j - 3*a - 39. Calculate the remainder when 154 is divided by j.
19
Let h = -281 + 251. Calculate the remainder when (-2 + (-186)/h)*25 is divided by 27.
24
Let k = -59 + 218. Let r = k - 151. Calculate the remainder when 28 is divided by r.
4
Suppose -15*x + 21390 = -6*x + 14*x. What is the remainder when x is divided by 49?
48
Suppose 0 = -64*w + 66*w + 978. Let i = w + 497. Let b(t) = 55*t. What is the remainder when b(1) is divided by i?
7
Suppose -2*j + 22 = -2*s - 0*j, 5*s + 3*j = -63. Let x = 33 + s. Let o = x - 12. Calculate the remainder when 44 is divided by o.
8
Suppose 447 = 2*f + 3*a, 659 = 4*f + 2*a - 255. Let g = 280 - f. Calculate the remainder when 194 is divided by g.
47
Let g = 4923 + -4559. What is the remainder when g is divided by 185?
179
Calculate the remainder when (120/180)/(4/270) is divided by ((-180)/(-25))/(3/10).
21
Suppose 3*n - 846 = 3*c, -3*n - 5*c + 843 = -9*c. Let m = 243 - 171. Calculate the remainder when n is divided by m.
69
What is the remainder when 5291 is divided by ((-1449)/(-276))/(4/24*9/4)?
13
Let z(p) = -p**3 - 7*p**2 - 21*p - 146. Let f be z(-7). Calculate the remainder when 143 is divided by (f - (-6)/(-2)) + 1554/21.
71
Suppose -50*u + 1569 = -46*u - 3*f, 3*f + 1182 = 3*u. What is the remainder when 393 is divided by u?
6
Let r = -3751 + 3866. Calculate the remainder when 578 is divided by r.
3
Let d = 84 + -49. Let i = 18345 + -18291. Let c = i - d. What is the remainder when 34 is divided by c?
15
Suppose -5*o + 2*q = -163, 5*o = q + 40 + 119. Let m be (-82)/(-7) - 4/(-14). Calculate the remainder when 109 is divided by (-6)/m*6 + o.
25
What is the remainder when 1554/(-9)*(-672)/392 is divided by 100?
96
Let c(l) = 9*l + 12 + 3*l + 29. What is the remainder when 16/1 + 0/(-2) is divided by c(-3)?
1
Suppose 4*k = 2*c - 398, 5*k - 1037 = -5*c + k. Let h = 123290 + -123238. What is the remainder when c is divided by h?
49
Let v(w) = 2*w + 6*w + 61 + 4*w. Let n be v(0). Let t = n + 9. Calculate the remainder when t is divided by 37.
33
Let h(r) = r**3 + 61*r**2 - 71*r - 19. Calculate the remainder when h(-62) is divided by 131.
15
Let n = -118 - -121. Suppose 43 = 5*r - n*j, -j - 19 = -r - 3*j. What is the remainder when 131 is divided by r?
10
Let g be -5 + (11 - 3/3). Suppose -s + g*s - 84 = 0. What is the remainder when 103 is divided by s?
19
Suppose -5256 - 900 = -81*z. What is the remainder when z is divided by 51?
25
Let t be 1356/27*-1 + (-4)/(-18). Let q be t/15*9/(-12)*2. Suppose -54 = -q*v + 4*l + 25, -v + l + 16 = 0. What is the remainder when v is divided by 6?
3
Let i = 1076 + -703. Calculate the remainder when i is divided by 36.
13
Calculate the remainder when 332 is divided by (-5 + -1)/3 - (-98 + 21).
32
Calculate the remainder when (335/7 + -16)*(5 + 6/3) is divided by 38.
33
Suppose -322*y + 509897 = -59721. What is the remainder when y is divided by 127?
118
Suppose -84 = 3*l - 5*l. Let f(r) = 24 - 8 + 11 + 4*r. Calculate the remainder when l is divided by f(-4).
9
Let j(r) = -r**2 - 20*r + 21. Let d be j(-18). Let c = d + -57. Let f(x) = x**3 - x**2 + 44. What is the remainder when f(c) is divided by 23?
21
Suppose 11*b - 12844 = 1291. What is the remainder when b is divided by 22?
9
Let w(y) = 29*y - 5 + 39 - 103 - 55. Calculate the remainder when (0 - -1) + 1 + 78 is divided by w(5).
17
Suppose 0 = -2*j + 20*b - 19*b + 226, 4*j = 5*b + 440. What is the remainder when 687 is divided by j?
112
Calculate the remainder when (-7)/7 + 611 + -10 + 3 is divided by 24.
3
Let n(l) = -l**2 + 16*l + 42. Let j be 2 - ((-63 + -2)/5 - 3). Calculate the remainder when 34 is divided by n(j).
4
Let s(w) be the second derivative of w**5/10 - 10*w**4/3 + w**3 - 18*w**2 + 2*w - 169. What is the remainder when s(20) is divided by 35?
14
Suppose -14*j + 35254 = 34834. What is the remainder when 220 is divided by j?
10
Suppose 738 - 3459 = -4*x - 5*w, 3*w = 4*x - 2745. What is the remainder when x is divided by 680?
4
Let n = -8124 - -8654. Calculate the remainder when 537 is divided by n.
7
Suppose -2*d + 5*a - 473 = -4*d, -5*d = 3*a - 1211. Suppose -4*s + u + d = 0, -3*u + 2 - 238 = -4*s. Calculate the remainder when 237 is divided by s.
51
Let u(a) = 31*a**2 - 2*a. Let c be u(3). Let b = 291 - c. Let d = 18 + -13. What is the remainder when b is divided by d?
3
Suppose 4*n = -2*h - 118, -153 = 2*h - 2*n - n. Let y = 148 + h. Let b = y - 50. Calculate the remainder when 84 is divided by b.
26
Suppose -u = -3*u - 2. Let h(o) = 12*o**2 + 2*o + 1. Suppose -5*k + 39 = -3*y, 42 = 4*k - 4*y + 6. Calculate the remainder when h(u) is divided by k.
5
Let b(l) = 308*l + 973. Calculate the remainder when 146 is divided by b(-3).
48
Suppose -2*c + 4*p = -305 - 543, -466 = -c - 5*p. Suppose 3*j = 2*j + 22. What is the remainder when c is divided by j?
18
Suppose -108 = -a + 2*n, -a + 104 = -89*n + 88*n. What is the remainder when a is divided by 30?
10
Let z(h) = h + 4. Let s(k) = -132*k - 1845. Calculate the remainder when z(0) is divided by s(-14).
1
Suppose 2*u = -5*d + 3024, -2*u - 4*d = 2*u - 6060. Calculate the remainder when u is divided by 49.
47
Suppose 102*f + 109*f = 216*f - 1600. Calculate the remainder when f is divided by 52.
8
Suppose -9*t + 8*t + 3 = 0. Suppose -4*b + 140 = -t*d - 5*b, -5*b - 102 = 2*d. Let i = d + 60. What is the remainder when 40 is divided by i?
12
Let t = 238 + 278. Let l = -56 + 54. What is the remainder when 83 is divided by (0 + l/4)/((-6)/t)?
40
Suppose 0 = 2*u - y + 324, -5*u = -y + 398 + 412. Let x = u + 177. Calculate the remainder when 176 is divided by x.
11
Suppose -45*b + b + 440 = 0. Calculate the remainder when 289 is divided by b.
9
Calculate the remainder when 90/(-4 - -14) + 541 is divided by 202.
146
Suppose -544*u + 665*u - 38962 = 0. Calculate t