 when b(c) is divided by w?
9
Let v(i) = -18*i + 5. Let o be v(-4). Let w = -575 - -614. Let g = o - w. What is the remainder when 111 is divided by g?
35
Let p(a) = a**3 - 4*a**2 - 21*a - 4. Let z be p(7). Suppose 0 = -j - 36 - 12. Calculate the remainder when (-2)/z - 5256/j is divided by 19.
15
Let j be (-23070)/(-105) + (-4)/(-14). What is the remainder when -3*(-14)/6*j/70 is divided by 12?
10
Suppose z - 13 - 1 = 5*g, 4*z = 3*g + 22. Suppose z*f = f - 159. Let m = -26 - f. Calculate the remainder when 78 is divided by m.
24
Suppose 10*k = 21*j + 12*k - 2319, -2*j = 4*k - 198. Calculate the remainder when j is divided by 14 - (-1)/(-3)*0.
13
Let i(g) = 4*g**2 + 4*g - 8. Suppose 25 = -0*s + 5*s, s = 4*n + 181. Let w = n - -40. Calculate the remainder when 115 is divided by i(w).
35
Let a(q) be the third derivative of -31*q**4/24 + q**3/6 - 4*q**2. Suppose 4*c - 2*n + 10 = 2, -5*c - 17 = n. What is the remainder when a(c) is divided by 16?
14
Let i = -20348 + 20720. What is the remainder when 760 is divided by i?
16
Calculate the remainder when 821 is divided by 136 + -1*19/((-114)/12).
131
Let c be (-38)/(-9) + (-4)/18. Suppose -3*j = 2*z - 3 - 2, -9 = -c*j - 5*z. Calculate the remainder when (105/10 + j)*4 is divided by 16.
14
Let t(f) = f - 1. Let k(w) = -w**2 - 11*w + 26. Let h(y) = k(y) + 2*t(y). Let m be h(-11). What is the remainder when 3 + (1 - m) + 85 is divided by 15?
12
Suppose 72*i = 66*i - 36. Let p(r) = 4*r**2 - 13. Let v(o) = -11*o**2 - o + 38. Let c(s) = -8*p(s) - 3*v(s). What is the remainder when 23 is divided by c(i)?
7
What is the remainder when 2618 is divided by 4/(-14) - (536/(-2144) - (-674)/(-56))?
2
Suppose 8*s + 11080 = 14992. What is the remainder when s is divided by 13?
8
Suppose -3*u = -9, 3*w + 4*u - 6 = 2*w. What is the remainder when 5 is divided by 42/(-210) - w/5?
0
Let c be (-17)/255 + (-3194)/15. Let h = -177 - c. What is the remainder when 143 is divided by h?
35
Suppose 407 + 241 = -6*z. Let f = z - -141. Let i = 54 - 35. What is the remainder when f is divided by i?
14
Suppose 553 = -94*j + 101*j. What is the remainder when 253 is divided by j?
16
Suppose 34*w - 399 = 15*w. Let g(q) = -115*q - 131. Calculate the remainder when g(-17) is divided by w.
18
Let t = -265 + 384. Let s = t + -79. Suppose 0 = -m + 5, 3*m = -d + m + s. Calculate the remainder when d is divided by 12.
6
Suppose -124*m - 135*m = -268*m + 3924. Calculate the remainder when m is divided by 48.
4
Let u = -11 - -24. Suppose 7*l = -192 - 760. Let n = l - -198. Calculate the remainder when n is divided by u.
10
Let o(u) = 49*u**2 - 65*u - 441. Calculate the remainder when o(-6) is divided by 26.
23
Let z = -13812 - -14031. Let m(o) = -2*o**3 - 2*o**2 - 2*o - 2. Calculate the remainder when z is divided by m(-2).
9
Suppose -1299 = -127*m + 987. Calculate the remainder when 951 is divided by m.
15
Let p(r) = -4*r**2 - 43*r + 757. Suppose -7 - 196 = -a. Calculate the remainder when a is divided by p(-20).
16
Suppose 809 = 4*a - 38*a + 5331. What is the remainder when a is divided by 37?
22
Suppose 0 = -j + 4*l + 44, 104 = 2*j - 0*l - 6*l. Calculate the remainder when (-1)/((-1 - -2)/(-223)) is divided by j.
71
Let r be -25*-3*(-6)/(-45). Let z(g) = g**3 - 10*g**2 + g + 4. Let x be z(r). Suppose -35 = -7*n + x. What is the remainder when n is divided by 7?
0
Let p = -2794 + 2887. What is the remainder when p is divided by (-6)/10 + (-83)/(-5)?
13
Calculate the remainder when 1405 is divided by (-3 + 518/28)*12/2.
10
Suppose -5*z = -20, 5*s + 33*z - 30*z - 912 = 0. What is the remainder when s is divided by 60?
0
What is the remainder when (-1 + 2/4)*(780 + -1334) is divided by 75?
52
Let w(g) = 21*g - 34. Let l be w(6). Let c = l - 85. What is the remainder when 47 is divided by c?
5
Let s be (-1)/(-5) + (-3 - (-1420)/25). Calculate the remainder when 75 is divided by (-12)/s - 382/(-18).
12
Suppose m - 110 = -2*m - c, -3*m - 2*c = -106. What is the remainder when 909/6*(-20)/(-48)*(-32)/(-10) is divided by m?
12
Suppose 13*u + 13*u - 841 = 25*u. What is the remainder when u is divided by 123?
103
Let w(n) be the third derivative of -77*n**4/24 + n**3/2 - 30*n**2. What is the remainder when w(-2) is divided by 16?
13
Suppose -2*a + 54 + 76 = 0. Suppose 5*v - 71 = 2*b + 20, -4*v - b + a = 0. What is the remainder when ((-248)/6)/(4/(-6)) is divided by v?
11
Let s = -428 - -522. Suppose -s = -j + 20. Calculate the remainder when j is divided by 39.
36
Suppose -78 = 38*d - 39*d - 4*b, 2*b - 284 = -3*d. What is the remainder when 405 is divided by d?
13
Let a be (-15 + 3)*(-1)/(-2). Let t(g) = -g**3 - 10*g**2 - 10*g - 4. What is the remainder when -1 + a + 12 + 13 is divided by t(-9)?
3
Let t = -7974 - -10091. Calculate the remainder when t is divided by 59.
52
Let v = -12705 + 13301. Calculate the remainder when v is divided by 73.
12
Let v = -7624 + 7883. Calculate the remainder when v is divided by 103.
53
What is the remainder when 2/39 + (-1200312)/(-2106) is divided by 160?
90
Let u be (-1 - (1 + -2))/3. Suppose -5*k + 353 + 1802 = u. What is the remainder when k is divided by 8?
7
Suppose -2*p + 80 = -4*q, 130 + 12 = 3*p + 5*q. Suppose -80 + p = -2*z. What is the remainder when 2/(z/(-25) + 4/5) is divided by 11?
3
Suppose 13*u = -3*u - 7792. Let f = u - -551. What is the remainder when f is divided by 19?
7
What is the remainder when (-372)/((-348)/(-48) - (14 - 6)) is divided by 42?
34
Let u(g) = g**2 - g - 11. Suppose 0 = 13*z - 12*z + 6. What is the remainder when 46 is divided by u(z)?
15
Let a = -1 - -5. Suppose -2 = -14*f + 13*f. Suppose 1 = h - 3*m, 6*m - 18 = -f*h + 8*m. Calculate the remainder when h is divided by a.
1
Let n be (6/18)/(5/792)*10. Suppose -4*t = -20*t + n. Suppose 30*b - t*b = -39. Calculate the remainder when 62 is divided by b.
10
Let j(n) = 7*n**2 - 88*n - 48. Calculate the remainder when 1914 is divided by j(18).
6
Suppose 5*x = -5*q + 7 + 18, 0 = q - 2*x + 4. Let n(d) = 58*d**2 - 5. What is the remainder when n(q) is divided by 23?
20
Suppose -6*k + k + 50 = 0. Let w(i) = 9*i + 406. Let x be w(-39). Suppose 5*u + x = g, -35 = -g + 2*u - 7*u. Calculate the remainder when g is divided by k.
5
Let d = 57 + -172. Let p = -101 - d. Calculate the remainder when -2 + -1 + 113 - 0 is divided by p.
12
Suppose 43*o + 3019 = 179*o + 435. What is the remainder when (-2)/(-3)*(-219)/(-2) is divided by o?
16
Suppose -3*a = -x - a + 2, 5*a - 1 = x. Suppose 0 = 5*v - x*v + h - 8, 0 = -5*h + 20. Calculate the remainder when 68 is divided by v.
0
Let b be (0/(-1))/2 - 1. Suppose 5*y + 41 = -3*k + 1, -2*y + k = 27. Calculate the remainder when (b - y)*8/20 is divided by 4.
0
Let q(l) = 6*l**2 + 76*l + 50. Let u be q(-12). Calculate the remainder when (-1862 + u)/(-4) - 4 is divided by 33.
32
Let w(j) = j**2 - 5665*j - 45368. What is the remainder when w(-8) is divided by 2/6 + 64/6?
5
Let z be (-1 + 4/10)/(5/(-175)). Let y = -129 + z. Let j = -64 - y. What is the remainder when j is divided by 24?
20
Let r = 12 + -3. Suppose 0 = -7*p - 4*p + 99. Let n(x) = x**3 - 6*x**2 - 19*x + 16. Calculate the remainder when n(p) is divided by r.
7
Let p(c) = c - 4. Let x be p(6). Suppose 8 = x*h - 30. Suppose 3*y + 208 = 7*k + 407, 4*y + 4*k = 292. What is the remainder when y is divided by h?
14
Let h be 1/((-3)/45)*(-65)/(-15). Let n = 61 - h. Calculate the remainder when n is divided by 32.
30
Let a(b) = 5*b**2 + 22*b - 16. What is the remainder when a(-11) is divided by 101?
44
Let s be (-6)/(-36)*6*(-1 - -150). Suppose -3*p - 425 + s = 0. Let u = -65 - p. What is the remainder when u is divided by 6?
3
Suppose -55 = -5*f + 15. Let t = -171355 - -171408. What is the remainder when t is divided by f?
11
Suppose 7*y - 499 = 2*y + 2*c, 0 = 5*c - 40. What is the remainder when 13900 is divided by y?
98
Suppose 342 - 1531 - 891 = -8*a. What is the remainder when a is divided by 38?
32
Calculate the remainder when 5/2*(-3)/(-15)*164 is divided by 32.
18
Let c(j) = 4*j**2 + 9*j + 4. Let i(r) = r**2 + r. Let x(u) = c(u) + 2*i(u). Suppose -14 - 32 = -p. What is the remainder when p is divided by x(-2)?
4
Let s(j) = 162*j**3 - j**2 + 14*j - 12. Calculate the remainder when s(1) is divided by 157.
6
Suppose -23*z + 735 = 343 - 643. What