Let l(a) = -a**3 - 12*a**2 + 15*a + 1. Let f be l(-13). Calculate the remainder when ((-1)/(10/(-24)))/((-10)/f) is divided by 2*(9/6 - 0).
0
Let o(i) = 1803*i + 11088. Calculate the remainder when 627 is divided by o(-6).
87
Suppose -5*w - 5 + 20 = 0. Suppose 4*i + w = 71. What is the remainder when 49 is divided by (0/3 + i)/(0 - -1)?
15
Let s(o) = o**2 - o - 103. Let p be s(-11). Suppose 371 = 10*d - p. What is the remainder when 134 is divided by d?
14
Let o = 570 + -559. Let r = -35 - -61. Let p = 15 + r. Calculate the remainder when p is divided by o.
8
Let j = -21743 + 30708. What is the remainder when j is divided by 78?
73
Calculate the remainder when (-14 + 5)*(2/8 + 6836/(-16)) is divided by 74.
69
Suppose 2*o = -3*h + 47, 1 = -3*o + 13. What is the remainder when (6 - 11)*((-1)/(-5) - (-5 + 54)) is divided by h?
10
Suppose -3*b + 549 = 4*j, 6*j - 770 = -4*b + 7*j. Calculate the remainder when b is divided by 20.
11
Let s(z) = z**2 - 86*z + 1798. Let p = 33 - 9. Calculate the remainder when p is divided by s(51).
11
Suppose -11*h - 3696 = 11*h. What is the remainder when 235 is divided by h/(-64)*-4*(-20)/7?
25
Suppose 4*g - 2*s = -741 + 2893, -2*g = 2*s - 1088. Calculate the remainder when g is divided by 135.
0
Let v(t) = t**2 + 16*t - 1. Let g(c) = -2*c**2 + 5*c + 3. Let z be g(-6). Let b = -20 - z. What is the remainder when b is divided by v(-17)?
15
Let o = -8968 - -11728. Calculate the remainder when o is divided by 11.
10
Let z = -5209 - -5853. Calculate the remainder when 2580 is divided by z.
4
Let c(a) = 2*a**2 - 99*a + 24. Let l be c(7). Let f = l - -695. Calculate the remainder when f is divided by 32.
28
Suppose -143*r - 147835 = -379209. What is the remainder when r is divided by 393?
46
Let m = 241 + -229. What is the remainder when 105 is divided by m?
9
Let a(f) = 4675*f + 32764. Suppose -3*o + 0*o = -117. Calculate the remainder when o is divided by a(-7).
0
Let s be (39/26)/(6/(-40)). Let c(d) = -d**3 - 7*d**2 + 21*d - 2. Calculate the remainder when 177 is divided by c(s).
1
Let a = 8352 - 8171. Calculate the remainder when a is divided by 84.
13
Let c(t) = 9*t**2 - 11*t + 10. Let n(f) = -4*f**3 + 35*f**2 + 8*f + 13. Let u be n(9). Let d = 16 + -2. Calculate the remainder when c(u) is divided by d.
12
Let n(j) = 44*j**2 - 494*j - 990. Suppose 2*i = 88 + 4. What is the remainder when n(-2) is divided by i?
36
Let j(u) = 3*u**2 + 7*u - 10. Suppose -4327*w = -4329*w + 134. Calculate the remainder when w is divided by j(-6).
11
Let q be ((-10642)/51)/(2/(-3)) - 4. Suppose -q = -18*r + 159. What is the remainder when 41 is divided by r?
15
Let x be (-5)/((-20)/102)*(-40)/(-60). Suppose 7*n = x*n - 310. What is the remainder when n is divided by 26?
5
Suppose -3*z - 2*a - 34 = 36, 0 = 4*a - 16. Suppose -37*d - 74 = 96 - 133. What is the remainder when 90 is divided by 13/z*26/d?
12
Let j(f) = -114*f - 187. What is the remainder when j(-7) is divided by 40?
11
Suppose 22*d - 3360 = 30*d - 20*d. Calculate the remainder when d is divided by 82.
34
Suppose -a + 4 = x - 40, 0 = -4*a - 2*x + 178. Let n be ((-33)/6 + 6)*-16. Calculate the remainder when (80 - (n - 2)) + -6 is divided by a.
39
Suppose -f + 3*f = 2, -d = -4*f. Calculate the remainder when 285/(-9)*(-2 + -1) is divided by 84/(-3 + 6) - d.
23
Suppose -3*v - 99 = -105. Calculate the remainder when 207 is divided by v.
1
Suppose -h - 5*g + 34 = 0, 3*h - h - 96 = 4*g. Suppose -14*y - 1590 = -h*y. Calculate the remainder when y is divided by 7.
4
Let o(r) = -r**3 + 6*r**2 - 9*r + 4. Let q be o(4). Suppose q = x + 2*v - 89, 5*x - 445 = 7*v - 11*v. Calculate the remainder when x is divided by 18.
17
Let h be -5*(-6)/(-70) + 219/21. Let o(c) be the third derivative of c**4/12 + 2*c**3 - 2*c**2. What is the remainder when o(h) is divided by 17?
15
Suppose 3*d - 16 = -3*r + 5, 3*r = -3. Let y(g) = 2*g - 14. Let b(z) = 5*z - 41. Let c(s) = d*y(s) - 3*b(s). What is the remainder when c(-6) is divided by 4?
1
Let q(i) = -35*i + 145. Let b(l) = 18*l + 238. Let m be b(-13). What is the remainder when 447 is divided by q(m)?
2
Let m(c) = c**2 - 2*c + 65. Let x be m(17). Let s = 375 - x. Calculate the remainder when s is divided by 14.
13
Suppose -7*z + 8*z - 284 = 568. Calculate the remainder when 1706 is divided by z.
2
Let c = 5926 + -4758. What is the remainder when c is divided by 147?
139
Let i(q) = -519*q + 6272. Calculate the remainder when i(12) is divided by 13.
5
Let u = 624 + -607. What is the remainder when 2802 is divided by u?
14
Suppose -19*f + 18*f - 192 = 0. Let x = f - -200. What is the remainder when 47 is divided by x?
7
Let x(n) = 664*n - 6816. What is the remainder when x(11) is divided by 152?
32
Let w(n) = -3*n**3 + 4*n**2 + 15*n - 3. Let r be w(6). Let o = -372 - r. What is the remainder when 313 is divided by o?
43
Let x(z) = -2*z**2 + 7*z + 8. Let g be x(6). Let w = g + 36. What is the remainder when (-3)/18*-114 - (-5 + 0) is divided by w?
10
Calculate the remainder when 1063 is divided by 40 + 0 + -2 + (-34 - -34)/(-34).
37
Calculate the remainder when 1031 is divided by ((-19)/(-38))/(1/444).
143
Suppose -3*p = 28 + 41. Let v = p - -39. What is the remainder when 57 is divided by v?
9
Suppose 38 = -4*s - 134. Suppose -5*d = -484 + 89. Let b = s + d. Calculate the remainder when b is divided by 13.
10
Calculate the remainder when 832 is divided by (6145/10 + 5)*(0 - (-4)/6).
6
Let f(p) = -4 + 16*p**2 + 17*p - 15*p + 5. Let g(c) = c**3 - c**2 - 55*c + 25. Calculate the remainder when f(2) is divided by g(0).
19
Let k = -10745 - -10823. What is the remainder when 302 is divided by k?
68
Let j(x) = -x**3 + 15*x**2 + 44*x - 392. What is the remainder when 452 is divided by j(16)?
4
Let p = -178 - -176. Let d(n) = 7*n**2 + 4*n + 5. Calculate the remainder when d(p) is divided by 15.
10
Suppose 0 = 8*b - 194 - 2214. Let s = b + -274. Calculate the remainder when 77 is divided by s.
23
Calculate the remainder when 216/14*(-6 - (-248)/40)*35 is divided by 20.
8
Let v(i) = -23*i**3 + 2*i**2 + 5*i + 4. Suppose -4*o + 4*p = -428, 2*p = 4*o - 3*p - 431. What is the remainder when o is divided by v(-1)?
8
Let o(l) = -64*l + 3654. Calculate the remainder when o(55) is divided by 43.
5
Calculate the remainder when 1/(252224/16814 + -15) is divided by 43.
40
What is the remainder when 3058 - (3/(-12))/((-5)/(-20)) is divided by 18?
17
Suppose 5*j + 1 = -4. Let a be 4 - (0 + 2 + j). Suppose -22 + 1 = -a*x. Calculate the remainder when 20 is divided by x.
6
Let q = 6652 + -6611. What is the remainder when 113 is divided by q?
31
Let w(a) = 15*a - 16. Suppose 16*c - 648 = -11*c. Calculate the remainder when w(c) is divided by 23.
22
What is the remainder when 4/50 - -18365*(-38)/(-4750) is divided by 72?
3
What is the remainder when 161*(282/(-47))/(1*-3) is divided by 113?
96
Suppose 82 = -u + 67. Let x(k) = -k**3 - 16*k**2 - 21*k + 11. Calculate the remainder when x(u) is divided by 8.
5
Suppose 4*w + 13 - 57 = -5*x, 5*x - 4*w = 76. Calculate the remainder when 283 is divided by x.
7
Suppose -27*m + 11*m + 1424 = 0. Suppose 876*j + m = 877*j. Calculate the remainder when 622 is divided by j.
88
Let y(l) = 64*l**2 - 783*l - 1. Calculate the remainder when y(-6) is divided by 206.
203
Let j = 1999 - 1979. What is the remainder when (-89 - (-2)/2)*-2 is divided by j?
16
Suppose 0 = -71*f + 10358 - 10476 + 32352. Calculate the remainder when f is divided by 148.
10
Suppose -4*r - 4*z = -9*r + 377, -3*r + 210 = 3*z. Calculate the remainder when r is divided by 64.
9
Suppose 2*z + 299 + 142 = 5*f, 263 = 3*f - 2*z. Let i = -86 + f. Calculate the remainder when 12 is divided by i.
0
Suppose 10680 = -21*x - 9*x. Let o = 357 + x. What is the remainder when 1 is divided by o?
0
Suppose 5*k - 40 = 2*n, 3*n = -3*k + 6 - 3. Suppose -o = -k*o + 395. Calculate the remainder when o is divided by ((-4)/6)/(-1)*15.
9
Let m(k) = -7*k + 371. Let l be m(34). Suppose 2*j + 459 = 5*j + 3*t, -j + 3*t + l = 0. Calculate the remainder when j is divided by 39.
31
Suppose 47 = 21*f - 457. Suppose -9*b = -f*b + 240. Calculate the remainder when 87 is divided by b.
7
Let t(r) = -25 - r**2 + 0*r**2 + 0*r**2 + 68. Suppose -7*a + 105 + 0 = 0. Calculate the remainder when t(0) is divided by a.
