(u) = 3*u**3 - u**2 - 6*u + 12. What is the remainder when c(y) is divided by (-6)/21 - (-153)/21?
6
Let r = -7 + 16. What is the remainder when 7/(-2)*((-107)/(-7) + -17) is divided by (8/(-3) + 3)*r?
0
Let f(t) = t**3 + t. Let j be f(1). Suppose 0*k = -j*k + 34. Suppose 1375*i - 1366*i = 1026. What is the remainder when i is divided by k?
12
Let m(l) = -14*l - 8. Let b be 7/(63/33) - (-2)/6. Suppose 0 = -h, 2*v - 4*h = -0*v - b. Calculate the remainder when 138 is divided by m(v).
18
Let o(i) = -2*i**2 + 59*i - 4. Let r be o(28). Suppose -17*y + 22*y - r = 0. What is the remainder when 50 is divided by y?
2
Let z be (36/(-30) - (-180)/25) + 552. Let n = 667 - z. Calculate the remainder when n is divided by 11.
10
Let t(d) = -d**3 + d**2 + 2*d + 3. Let s(k) = k**3 + 13*k**2 + 21*k - 11. Let b = -18 - -7. Let a be s(b). What is the remainder when 13 is divided by t(a)?
1
Suppose 184 = 4*p - 23*k + 19*k, 4*p = -k + 194. Calculate the remainder when 620 is divided by p.
44
Let t(i) = -7*i**3 - 3*i**2 + 2. Suppose -117*x + 248 = -125*x. Let f = x - -55. What is the remainder when t(-2) is divided by f?
22
Let f(t) = 5*t**2 + 2*t - 2. Let x be f(-5). Suppose 6*j = x + 31. Suppose 4*k + 0*k = j. What is the remainder when 11 is divided by k?
5
Let c(q) = -23*q**3 + q**2 - 37*q - 37. Calculate the remainder when 123 is divided by c(-1).
3
Let a(r) be the third derivative of 7*r**5/60 - r**4/3 - r**3/3 + 137*r**2. What is the remainder when 27 is divided by a(2)?
7
Let i = 49 + -30. Calculate the remainder when ((3350/(-9045))/(4/(-18)) + 4)/(1/60) is divided by i.
17
Let g(r) = r**2 + r + 9. Let v be g(-3). Suppose -w + 185 + 464 = 4*u, 5*w = -v. What is the remainder when u is divided by 85?
78
Let s(q) be the first derivative of -3*q + 97/3*q**3 - q**2 - 7. Calculate the remainder when s(-1) is divided by 25.
21
Let z(y) = 2*y**2 + 6*y + 2. Let q be z(-4). Let d = q - -19. Calculate the remainder when (8/16)/((-3)/(-498)) is divided by d.
25
Let z = -23048 - -30343. Calculate the remainder when z is divided by 22.
13
Let t be 6*((-1)/(-9))/((-10)/(-60)). Suppose -t = -2*p - 4*q + 4, -2*p - 2*q = -18. Suppose c - 39 - p = 0. What is the remainder when c is divided by 19?
15
Suppose -5*u + 550 = 4*n, -3*u - 137 = -143. Calculate the remainder when n is divided by 99.
36
Suppose 493*y - 236 = 497*y. Let x = 93 + y. Calculate the remainder when 169 is divided by x.
33
Let a = 63 + -55. Suppose 6*c = a*c. Suppose c = -4*d - 4, 0 = 2*j - d + 5*d - 80. Calculate the remainder when j is divided by 9.
6
Suppose -130 = -5*c - 0*c. Calculate the remainder when -23*((-196)/28 + -1*2) is divided by c.
25
Let f(w) = 1143*w - 545. What is the remainder when f(1) is divided by 152?
142
Let c(t) be the second derivative of 7*t**4/12 - 2*t**3/3 + t**2 + 390*t. Let g(i) = i + 7. Let r be g(-5). What is the remainder when 130 is divided by c(r)?
20
Let f = -14456 + 14476. What is the remainder when 4333 is divided by f?
13
Let i(b) = -b**3 - 2*b**2 - 2*b. Let z be i(-2). What is the remainder when 141 is divided by 38 - (z*9/12 + -1)?
33
Suppose -r = -o + 4*o - 129, -2*r = 0. Suppose 714*k - 104781 = 22099 + 148010. Calculate the remainder when k is divided by o.
41
Suppose -4*f + f - 570 = 0. Let a(s) = -s**3 - 13*s**2 - 26*s - 70. Let c be a(-10). Let g = c - f. What is the remainder when g is divided by 41?
39
Let f(s) be the second derivative of s**5/10 - 7*s**4/12 + 7*s**3/6 - 5*s**2/2 + 24*s. What is the remainder when 154 is divided by f(4)?
37
Suppose -12*v + 24 = -0*v. Suppose v*q + 5*t = -13, 2*q + 5*t - 2*t = -7. Let j(l) = 7*l**3 + 2*l**2 - 4*l + 2. What is the remainder when j(q) is divided by 1?
0
Let o = 4778 - 4175. Calculate the remainder when o is divided by 74.
11
Calculate the remainder when 283 is divided by (8602/17 - 9)/7.
70
Let t(v) = v**3 - 2*v**3 + 16 - 30 - 9 + 3*v + 10*v**2. Calculate the remainder when t(4) is divided by (-1)/(42/44 + -1).
19
Suppose -s + 3 = -1. Suppose 2*q = -5*n + 5 + 7, -4*q + 24 = s*n. Calculate the remainder when 24 + (0 - (-3 + 6)) is divided by q.
3
Suppose -5*v + 1821 = 2*n, v - 3*n - 371 = -0*n. Let d = -194 + v. Suppose 0 = 3*r - d + 36. What is the remainder when r is divided by 16?
13
Suppose 0 = 4*v - 2*g - 24 - 42, 9*g = -2*v - 17. Calculate the remainder when 484 is divided by v.
8
Let b be 2/(-5) - (-4 - 1236/(-10)). Let m = 264 + b. Calculate the remainder when m is divided by 29.
28
Let z be ((-628)/3 + 8/24)*-1. Let o = 288 + z. Calculate the remainder when o is divided by 50.
47
Suppose -3*t = 2*o - 2, 3*t + 3*o + 2 = -1. Suppose -u = -t*d - 1 - 3, d = 5*u - 96. Calculate the remainder when 35 is divided by u.
15
Let z(t) = t**3 + 15*t**2 - 155*t + 9. What is the remainder when 1971 is divided by z(-21)?
117
Let v be (9/6)/(12/88). Let t = v - -7. Let k = -500 + 570. What is the remainder when k is divided by t?
16
Suppose -5*i - 4 = -i. Suppose -35 = 50*r - 435. Calculate the remainder when i/4 - (-306)/8 is divided by r.
6
What is the remainder when (-427)/63 + 7 + (-15)/((-945)/110614) is divided by 31?
20
Let n = -3922 - -3935. Calculate the remainder when 6421 is divided by n.
12
Let x(h) = 13*h - 3. Let y(m) = -27*m + 7. Let g(s) = -13*x(s) - 6*y(s). What is the remainder when (10/(-4))/((3500/2080)/(-35)) is divided by g(-3)?
16
Let h = 7017 - 6470. Calculate the remainder when h is divided by 104.
27
Let i = -20 - -19. Let l be i/((1/8*-2)/1). Suppose 389 = 3*a + r, l*a + 2*r - 262 = 2*a. What is the remainder when a is divided by 26?
25
Let k(y) = 4*y**3 - 5*y**2 - 2*y - 6. What is the remainder when k(5) is divided by (10*-10*12/960)/((-1)/24)?
29
Suppose 23 = v - 69. Suppose 25 = 5*f - 0. Suppose -4*p = -2*k + 64, 0 = 4*k + p + f - 97. What is the remainder when v is divided by k?
20
Let n(i) = 15*i**2 - 3*i + 4. Let j be n(1). Suppose -2*y = -6*y + m - j, -3*m + 27 = -5*y. Calculate the remainder when 13*-9*y/3 is divided by 30.
27
Suppose 17*i + 20672 = 169*i. What is the remainder when 528 is divided by i?
120
Suppose 1090 - 308 = 17*r. Let o(x) = -2*x + 8. Let j(y) = y**2 + 4*y - 9. Let n be j(-5). What is the remainder when r is divided by o(n)?
14
Let r = 13814 - 13551. What is the remainder when 329 is divided by r?
66
Suppose 47*b + 94 = 141*b. Let d(h) = -31*h**2 + 2*h. Let a be d(-3). What is the remainder when (a/10 + b)*(-3 + -1) is divided by 28?
26
Let p(n) = -3*n**3 + 3*n**2 - 7*n - 12. Let y be p(-5). Suppose -5*v + 3*i = -478, 6*v - 11*v - 2*i = -y. What is the remainder when v is divided by 6?
5
Let u = -10 - -56. Let g = -807 - -819. What is the remainder when u is divided by g?
10
Suppose -d + 353 = 2*l - 110, -2*d = -3*l + 698. Suppose 9*y = l + 83. What is the remainder when 347 is divided by y?
32
Let g = -28 + 1778. Calculate the remainder when g is divided by 24.
22
Let z(r) be the third derivative of 49*r**6/120 + r**5/30 - 5*r**4/12 + 3*r**3/2 + 25*r**2. Calculate the remainder when z(1) is divided by 17.
16
Suppose 0 = -2*j - 20 + 110. Let c = -21 + j. Calculate the remainder when 260 is divided by c.
20
Let n = -67 - 112. Let q = n + 203. What is the remainder when 142 is divided by q?
22
Suppose 3*k + 187 + 71 = 2*o, 107 = o + 4*k. Let t = 0 + 25. Calculate the remainder when o is divided by t.
23
Let m = -460 + 483. Suppose 0 = -13*j + m*j - 170. Calculate the remainder when 2*24 - (-4 + 5) is divided by j.
13
Let m(w) = -391*w - 2272. Suppose -37 - 83 = -2*v. Suppose 0*g = -4*g + v. Calculate the remainder when m(-6) is divided by g.
14
Let f = -1570 - -1094. Let h = 489 + f. Calculate the remainder when 165 is divided by h.
9
Let s = 16378 + -16367. Calculate the remainder when 2005 is divided by s.
3
Let x = -121 + 350. Let m = x + -212. What is the remainder when 286 is divided by m?
14
Let u = 18 + -10. Let c be 254*((-9)/(-2) - 2*2). Suppose k + 89 = c. Calculate the remainder when k is divided by u.
6
Suppose 2*n + 1598 + 2528 = 5*h, -h = -n - 827. What is the remainder when h is divided by 36?
32
Let f be 8 - (0 - (1 - 4)). Suppose 3*l + l + 50 = f*o, -l = -o + 11. Let g(j) = 5*j - 5. Calculate the remainder when g(5) is divided by o.
2
Let p(s) = 5*s**2 - 4*s - 6. Let v(g) be the third derivative of g**4/4 - 10*g**3/3 + 12*g**2. Let k be v(3). W