ose -4*b = -6*b + 5*n - 23, -20 = -4*n. What is the remainder when (-97)/(-11) + (-92)/(-506) is divided by 1 + b*(1 - 0)?
1
Let z(r) be the third derivative of -r**5/60 + r**4/2 - 5*r**3/6 - 4*r**2. Let t be z(12). Calculate the remainder when (-4 + (-3 - -2))*t is divided by 9.
7
Let g = 1485 + -1469. Calculate the remainder when 763 is divided by g.
11
Suppose 2*n = -8*l + 10*l - 50, 3*l - 2*n - 79 = 0. Calculate the remainder when 550 is divided by l.
28
Suppose -24*v - 71 = -25*v. Suppose 4*o - 403 + v = 0. Suppose 48 = 2*m - 4*d, -m + 110 = 3*m - d. Calculate the remainder when o is divided by m.
27
Let f(o) be the third derivative of o**5/60 + o**4/12 - 8*o**3/3 - 5*o**2. What is the remainder when 54 is divided by f(-7)?
16
Suppose 3*a = -2*m + 44, 4*m - 17 - 11 = -a. Suppose 5*p = -0*p - y + 130, -4*y = 0. What is the remainder when p is divided by a?
2
Calculate the remainder when -3 - 160/(-4) - 96/(-16) is divided by 24.
19
Let c(z) = 3*z**2 - 4*z - 10. Let t be (-2)/(-7) + (-429)/(-91). What is the remainder when c(t) is divided by 12?
9
Let a be (-62)/(-5) - 10/25. What is the remainder when 8 is divided by ((-9)/a)/((-1)/4)?
2
Suppose -448 = -5*m + 677. Calculate the remainder when m is divided by 19.
16
Suppose -3*o + 2*o + 11 = 0. Suppose 5*b - a = -o, 1 = b - a + 4. What is the remainder when 50 is divided by 0 + b - (-1 - 19)?
14
Let i(v) = -v**3 + 5*v**2 + 21*v - 44. What is the remainder when i(6) is divided by 25?
21
Let v = 1266 + -1253. What is the remainder when 20 is divided by v?
7
Suppose -2 = 2*k, q + 3*k - 117 = -4*q. Let j = q - 18. Let d = 12 - j. What is the remainder when 16 is divided by d?
4
Let i = 433 + -408. Calculate the remainder when 44 is divided by i.
19
Let s = 21 - 19. Suppose 83 = 5*k - c, 0*k - 2*c = -s*k + 30. Suppose -7*p + 2*p + 240 = 0. Calculate the remainder when p is divided by k.
14
Suppose -157 = -3*q + 5*n, q - 2*n = -3*q + 186. Calculate the remainder when q is divided by 23.
21
Calculate the remainder when 680 is divided by (53 - -2) + 12 - 10/2.
60
Let t(d) = d**2 - 22*d + 86. Let o(m) = m**2 + 3*m + 6. Let x be o(-5). Let p = -8 + x. Calculate the remainder when t(18) is divided by p.
6
Let l(c) = -c**2 - c + 1. Let m be l(0). Let y = m + 45. What is the remainder when y is divided by -15*20/150*-6?
10
Let i(w) = -21*w + 26. Calculate the remainder when i(-2) is divided by 9.
5
Let l = 261 + -232. What is the remainder when l is divided by 8?
5
Calculate the remainder when 25953/328 + 2/(-16) is divided by 29.
21
What is the remainder when (66/4)/(30/40) is divided by 9?
4
Suppose i + 65 = -188. Let g = i - -81. Calculate the remainder when 15 is divided by (-4)/(-10) + g/(-20).
6
Let l(s) = s**3 + 4*s**2 - 5*s. Let z be l(-5). Let a = 254 + -194. Suppose 5*t + 5 - a = z. What is the remainder when 53 is divided by t?
9
Suppose -188*o + 21 = -185*o. What is the remainder when o is divided by 3?
1
Calculate the remainder when 96 is divided by -4 + (-12 + 1)/(1 + -2).
5
Let n be (-3)/(-15) + 55/(-25) + 7. Suppose -2*z + 2*o + 65 = 3*o, -z - n*o = -55. Calculate the remainder when z is divided by 17.
13
Let l(n) = -n**2 - 16*n - 21. What is the remainder when 101 is divided by l(-11)?
33
Let x(l) = -l**3 + 4*l**2 + 3*l - 2. What is the remainder when ((-12)/18)/(4/(-366)) is divided by x(3)?
13
Let j = -9 - -13. Suppose 2*a + j = 4*u, -2*a - 28 = -3*a - 4*u. What is the remainder when 23 is divided by a + 2 - (0 - 2)?
11
Suppose -3*c + 9 + 0 = 0, 5 = 2*o - c. Suppose -4*t - o = 2*r + 12, 26 = -2*r + t. Calculate the remainder when 15 is divided by r/20*15*-1.
6
Suppose 820 = 5*y - m, -87 - 73 = -y + m. Calculate the remainder when y is divided by 17.
12
Suppose 3*v + 2*n = 20, -2*v = -6*v - 2*n + 24. Suppose s - 235 = -v*s. Let q(c) = -c**3 + 7*c**2 - 7*c + 1. Calculate the remainder when s is divided by q(5).
15
Let t(q) = q**2 + 13*q + 2. Let r be t(-13). Suppose 5*y + 2*h = 2*y + 45, r*h = y - 15. Calculate the remainder when y is divided by 5.
0
Let v(f) = 5 + 16*f**2 - 25 - 18*f**2 + 21*f. Let x(t) = 13*t + 1. Calculate the remainder when x(3) is divided by v(9).
5
Let q = 137 - 125. Suppose -116 + q = -4*r. Calculate the remainder when 128 is divided by r.
24
Suppose -d - 3*w + 3 = 0, -5 = -0*d + 5*d - 5*w. Suppose d = -2*q - 17 + 49. What is the remainder when 62 is divided by q?
14
Suppose -h - 165 = -0*h. Let g = h + 75. Let f = g - -162. What is the remainder when f is divided by 15?
12
Let p(v) = -3*v**2 - 79*v + 27. Calculate the remainder when p(-26) is divided by 10.
3
Let u(v) = v**3 + 8*v**2 + 5. Let l = -20 - -12. What is the remainder when 12 is divided by u(l)?
2
What is the remainder when 934 is divided by (-473)/(-6) - (-285)/(-342)?
76
Suppose 542 + 80 = q. What is the remainder when q is divided by 24?
22
Let c(l) = l**3 - 3*l**2 - 9*l + 4. Let f be c(5). Let h = -7 + f. What is the remainder when 6 is divided by h?
0
Suppose -12*q = 4*q + 6272. Let p = -213 - q. What is the remainder when p is divided by 26?
23
Suppose 9 = 3*y - 2*y. Calculate the remainder when (-508)/(-12) + 6/y is divided by 11.
10
Let k = 15 - 9. What is the remainder when 113 is divided by (-24)/k - (3 + -45)?
37
Let h(o) = -5*o - 39. Let x(s) = 4*s + 52. What is the remainder when x(-8) is divided by h(-10)?
9
Let a(x) = 134*x - 17. Calculate the remainder when a(2) is divided by 12.
11
Let g(i) = -i**3 - 8*i**2 + 18*i - 6. Let y(o) = 3*o**3 + 15*o**2 - 36*o + 12. Let w(a) = -5*g(a) - 2*y(a). Calculate the remainder when 202 is divided by w(5).
38
Let o(c) = -c. Let i be o(9). Let b(g) = -g**3 - 10*g**2 - 9*g + 5. Let d = -7 - -11. What is the remainder when b(i) is divided by d?
1
Let u be (-2*(-2)/6)/(12/(-198)). Let g = u - -30. Calculate the remainder when 35 is divided by g.
16
Let w be 4*((-25)/(-10) + 1). Suppose -14 - w = -4*k - 5*v, -21 = -3*k + 3*v. What is the remainder when (-49)/(-4) + 1/(-4) is divided by k?
5
Let p = 6 - -130. Let r = p + -27. Calculate the remainder when r is divided by 55.
54
Suppose 0*h + 2*h - 533 = -3*j, 3*h + 3*j = 798. Suppose -8*x + h = -3*x. Calculate the remainder when x is divided by 21.
11
Let j be 2 + 0/(5 - 0). Suppose -2*t = -10, 50 + 116 = 4*q + j*t. What is the remainder when q is divided by 14?
11
Suppose 1 = 2*y - 21. Suppose 8*l = y*l - 273. What is the remainder when l is divided by 23?
22
Let r(p) = p**3 + 29*p**2 + p + 32. Calculate the remainder when 13 is divided by r(-29).
1
Suppose 2*x = -x - 3*f + 60, 5*f = 5*x - 80. What is the remainder when 52 is divided by x?
16
Suppose 0 = 2*x + x + 3*q - 6, -2*q = x. Let d(m) = m**3 - 3*m**2 + 2*m - 2. What is the remainder when d(x) is divided by 5?
2
Suppose 2*s = -2*c + 150, 2*c - 379 = -5*s - c. Suppose -3*j - 3*a + 319 = -s, -a = 2*j - 265. What is the remainder when j is divided by 46?
41
Calculate the remainder when 1645/14*8/20 is divided by 12.
11
What is the remainder when 126/(-6 - -9) + 2*2 is divided by 33?
13
Suppose 3*o = -2*r + 52, -o + 25 = -r + 2*r. Let p = -8 + 24. Suppose 2*c - s + p = 4*c, 5*c - 22 = 2*s. Calculate the remainder when r is divided by c.
5
Let i = -391 - -440. What is the remainder when 100 is divided by i?
2
Suppose n - 18 = -2*n. Suppose 5*o + 189 = 274. What is the remainder when o is divided by n?
5
Let y = 24 - -97. Calculate the remainder when y is divided by 14.
9
Suppose -14 = 4*w + 4*m + 26, -4*w + 5*m - 58 = 0. Calculate the remainder when (3 - (-27)/w)/((-3)/(-72)) is divided by 6.
0
Suppose -155*j = -158*j + 411. Calculate the remainder when j is divided by 35.
32
Suppose -5*w + 86 = -f - 120, -5*w + 3*f = -198. Let t(i) = i - 14. What is the remainder when w is divided by t(25)?
9
Suppose -2*a = -r + 35, 0 = -r + a - 4*a + 60. What is the remainder when 135 is divided by r?
0
Calculate the remainder when 129 + -34 - (0/(-1) - -2) is divided by 47.
46
Let j = -1529 - -1570. Calculate the remainder when 225 is divided by j.
20
Let y(t) = 14*t**2 - 3*t + 27. What is the remainder when y(3) is divided by 74?
70
Let p = -58 + 82. Suppose -6830*g = -6835*g + 45. What is the remainder when p is divided by g?
6
Let z(i) be the second derivative of -i**4/12 - 3*i**3/2 - 7*i**2 + 20*i. What is the remainder when 17 is divided by z(-4)?
5
Let x(b) =