0. Calculate the remainder when l(y) is divided by u.
4
Suppose 0*t - 1224 = 9*t. Suppose -h + 272 = 3*h. What is the remainder when h is divided by 34/t + (-114)/(-8)?
12
Let r(g) = 2*g**2 + 7*g + 1. Let m be r(-4). Suppose m*v - 847 - 141 = -n, 3*v - n - 588 = 0. What is the remainder when v is divided by 17?
10
Let r be 1/((-16)/(-428))*8*1. Let v = -172 + r. What is the remainder when 333 is divided by v?
39
Let r(n) = -n**3 + 63*n**2 + 201*n - 178. Suppose 27 = 4*k - 129. Calculate the remainder when k is divided by r(66).
19
Suppose -n = 73 - 14. Let b = -57 - n. What is the remainder when 9 is divided by b?
1
Let i(k) = 6*k + 3. Let d be (-4 - 6/6)*(-4)/5. What is the remainder when (d/(-3))/((-1)/60) is divided by i(4)?
26
Let a be -2*1 + (54 - -2). Let w = 79 - a. Suppose -3*c + 4*m + 73 = 27, 5*m = w. Calculate the remainder when c is divided by 9.
4
Suppose -5*t = -s + 415, -11*t - 1229 = -3*s - 12*t. Suppose 247 = 9*p - s. Calculate the remainder when p is divided by 19.
16
Calculate the remainder when (2351/(-3))/((-190)/570) is divided by 181.
179
Let a = -21845 + 22756. What is the remainder when a is divided by 18?
11
Let m(d) = -2*d**3 - d**2 + 10. Suppose -21 - 144 = -5*q. Suppose -q*c = -30*c. Calculate the remainder when 17 is divided by m(c).
7
Let b be (32 - 31)/(-1 - 34/(-36)). Let n(h) = -11*h - 52. Calculate the remainder when n(b) is divided by 19.
13
Suppose 8*g + 9*g + 68 = 0. Calculate the remainder when 20 is divided by g/(-4)*(-1 + -2 - -13).
0
Suppose 3 = 2*k + 3*z - 6*z, -4*z = -2*k + 4. Suppose k = 15*d - 140 + 5. Suppose -4*m + 128 = -4. What is the remainder when m is divided by d?
6
Let z = -76737 + 76770. Suppose -3*h = h - 240. What is the remainder when h is divided by z?
27
Let r(h) = -3*h**3 - h**2 - 2*h - 1. Let s be r(-1). Suppose s*y - y - 4*n = 500, -3*n = -3*y + 765. What is the remainder when y is divided by 44?
40
Suppose 2203 = 3*y - 3*v - 1475, -5*y = 4*v - 6112. Calculate the remainder when y is divided by 61.
4
Suppose -3*i = -3*n + 3, 4*n + 0*n - 4 = -i. Calculate the remainder when 9/(36/136) + i is divided by 33.
1
Let h(t) = -6*t**3 - 2*t**2 - 5*t - 4. Let s be h(-1). Suppose -s*p + 11*p = 126. What is the remainder when 60 is divided by p?
18
Let y(m) = -m**2 - 6*m + 2. Let v be y(-6). Suppose 92 = 4*u + 2*o, -v*u + 4*o + 47 = u. Calculate the remainder when (-858)/(-14) + 74/(-259) is divided by u.
19
Let c(f) = 196*f - 688. Calculate the remainder when 1127 is divided by c(4).
71
What is the remainder when 122 is divided by 704/(-6)*(-609)/812?
34
Suppose 77 = x + 5*k - 69, -4*k - 191 = -x. Calculate the remainder when x is divided by 19 + (-3 - 9) - (-14 + -1).
17
Let p(b) be the second derivative of b**5/20 + 5*b**4/12 - b**3/2 - 9*b**2/2 - 398*b. Let x = -10 + 5. What is the remainder when 15 is divided by p(x)?
3
Suppose 95 + 11 = 4*s + t, 0 = 2*s + 4*t - 60. Let o = 192 - 125. What is the remainder when o is divided by s?
15
Suppose 146019 - 169480 = -37*z + 389829. Calculate the remainder when z is divided by 7.
5
What is the remainder when 2184 is divided by ((-136)/102)/((-16)/324)?
24
Suppose 3*f + 2*z + 624 = 0, 5*z = -4*f + 3*z - 834. What is the remainder when ((f/4)/5)/((-3)/16) is divided by 15?
11
Let z(l) = 13*l**2 + 16*l + 49. Calculate the remainder when 296 is divided by z(0).
2
Let h(w) = 37*w**2 - 121*w. What is the remainder when h(4) is divided by 46?
16
Suppose -3 = -5*q + 37, 9*m = -2*q + 979. Calculate the remainder when 2674 is divided by m.
106
Let l(t) = 5*t**3 + 7*t**2 + 40*t - 81. What is the remainder when l(7) is divided by 20?
17
Suppose 33 = 4*h - 259. What is the remainder when 481 is divided by h?
43
Let f(u) = -8*u - 1. Suppose 4*x - 2*s = 3*x + 20, -x + 25 = -s. Suppose -171 - 69 = -x*c. Calculate the remainder when f(-2) is divided by c.
7
Suppose 0 = -0*i - i - 3*a - 6, -4*i - 5*a - 3 = 0. Suppose -i*k = -8 - 7. What is the remainder when 83 is divided by k + -7 + (22 - (-1)/1)?
20
Let c = 62573 + -26440. Calculate the remainder when c is divided by 99.
97
Let x(p) = p**3 + p**2 + 5*p + 14. Let n be x(7). Let f = 621 - n. Suppose 6*m - 60 = f. Calculate the remainder when m is divided by 7.
5
What is the remainder when 5*(-739098)/(-945) + 4/14*-2 is divided by 91?
88
Let p(b) = 13*b**2 - 59*b + 391. Calculate the remainder when p(6) is divided by 497.
8
Suppose 0 = -3*z + 14 + 1. Suppose z*p - 4 = g + 6, -3*p - 2*g = -19. What is the remainder when p is divided by 4 + -2 - 0 - -1?
0
Let h(m) = -40*m - 310. Let i be h(-24). Let a = -616 + i. Calculate the remainder when a is divided by 26.
8
Let q = -1067 - -2147. Calculate the remainder when 2160 is divided by q.
0
Let c(y) = 240*y + 11. What is the remainder when 245 is divided by c(0)?
3
Let f = 5810398 + -5810342. Let v = -5 + 68. Let d = 92 - v. Calculate the remainder when f is divided by d.
27
Suppose 2*c - 26*l + 29*l = 13, 5*l = 25. Let b(q) = -q**2 + 4*q + 5. Let v be b(6). Calculate the remainder when 5 is divided by 26/14 + c/v.
1
Let b be 1/(4/9)*(-12 - -16). Suppose 0 = b*a - 178 - 74. Calculate the remainder when 587 is divided by a.
27
Let r(v) = v**3 + 10*v**2 + 165*v + 2322. Let o = 5 + 3. Calculate the remainder when r(-12) is divided by o.
6
Let p be (-1 - -4)/(0 + 3/(-4)). Suppose -33 = -m - 2*m. What is the remainder when m is divided by 30/(-4)*p/6?
1
Let j be 154/1 - (25 + -32). Let c = -35 + j. What is the remainder when c is divided by 27?
18
Let z(u) be the second derivative of -u**5/10 + 29*u**4/6 + 9*u**2 + 88*u. Calculate the remainder when 106 is divided by z(29).
16
Suppose -3*f + 6*f + 1 = 5*s, 2*s - f - 1 = 0. Suppose 2*y - 90 = 17*y. What is the remainder when 8*(2/y)/(10/(-30)) is divided by s?
0
Let i(j) = -7*j - 15. Let z be i(-3). Let l(c) = 2*c**2 - 13*c + 8. Calculate the remainder when 129/(-9*(-1)/z) is divided by l(7).
11
Suppose -2*m - 39*z = -33*z - 846, 0 = -2*m - 4*z + 830. Calculate the remainder when m is divided by 14.
7
Let p(v) = -v - 48. Let r be p(-48). Suppose r = b + 6*b - 665. Calculate the remainder when b is divided by 136/10 - (-2)/5.
11
Suppose 0 = 5*h - 11 - 19. Let n = 55868 - 55863. What is the remainder when h is divided by n?
1
Suppose 4*i + 5*x - 1832 + 436 = 0, 0 = -5*i - 4*x + 1745. Suppose 3*k - 2*r = 648, 3*r + i = 5*k - 730. What is the remainder when k is divided by 43?
42
Let z(x) = -6*x - 620. Calculate the remainder when 1350 is divided by z(-112).
50
Calculate the remainder when (-833)/(-510)*6*65 is divided by 202.
31
Suppose -11*n - 131 = -16*n - 11. What is the remainder when n is divided by 13?
11
Suppose -119 = -2*l - 5*u, -u - 4 = 1. What is the remainder when (-130)/4*(0 + l/(-20)) is divided by 30?
27
Suppose 973*n = 953*n + 780. Calculate the remainder when 1442 is divided by n.
38
Let m = -9702 + 9720. What is the remainder when 1491 is divided by m?
15
Suppose 10*m = -22 - 18. Suppose 5 = 4*o + 1. Calculate the remainder when (-16)/(-12) - m/6 is divided by o.
0
Suppose 0 = -5*l + 14*l - 6*l - 2916. What is the remainder when l is divided by 297?
81
Let k(b) be the second derivative of -5*b**3/6 - 14*b**2 + 2*b + 18. What is the remainder when 7 is divided by k(-6)?
1
Let j(o) = 5*o - 4*o - 2 - 3*o - 4. Let u be j(-6). Suppose 0 = -u*f + 34 + 68. What is the remainder when f is divided by 3?
2
Suppose 0 = -6*y + 2*y - 2*d + 558, 2*d + 132 = y. Let c(n) = -56*n + 918. Calculate the remainder when y is divided by c(16).
6
Let w = -1682 - -2162. What is the remainder when w is divided by 478?
2
Let c = -12315 - -12475. What is the remainder when c is divided by 11?
6
Suppose -308 = 500*d - 504*d. Let u = -20 - -22. Calculate the remainder when d is divided by u/8 + (-102)/(-8).
12
Suppose 15 + 10 = l. Calculate the remainder when 3/10 - (-68845)/350 is divided by l.
22
Let t(l) = 32*l**2 + 30 - 34*l**2 - 7 + 53*l. What is the remainder when t(24) is divided by 36?
35
Suppose d = -2*a - 2*d - 13, -a - 4*d - 19 = 0. Let k be 28 - ((-2)/a - 3/3). Let y = 54 - k. Calculate the remainder when 35 is divided by y.
12
Let f(i) = 2*i**3 - i**2 - 6*i - 16. Let k be f(-3). Let d = k - -74. Let n = -47 + 71. Calculate the remainder when n is divided by d.
11
Let p(u) = u**3 - 6*u**2 - 5*u + 47. Let x be p(8). Suppose