Let d(b) = -b + 6. Calculate the remainder when ((-12)/(-15))/((-1232)/620 + 2) is divided by d(n).
8
Let r(m) = m**2 - 2*m + 27. What is the remainder when 109 is divided by r(9)?
19
Let k(s) = -7*s**2 + s + 749. Calculate the remainder when k(0) is divided by 65.
34
Let c(l) = -17*l**3 - 37*l**2 - 7*l + 4. Calculate the remainder when c(-6) is divided by 44.
10
Let t(n) = -n**3 - 90*n**2 - 159*n + 1782. What is the remainder when t(-88) is divided by 248?
38
Let u(p) = p**2 + 139*p - 833. What is the remainder when 226 is divided by u(6)?
4
Suppose 32*p - 109*p = -32*p - 2700. What is the remainder when 314 is divided by p?
14
Let u(h) = 101*h**2 - 37*h - 260. Calculate the remainder when u(-5) is divided by 57.
56
Suppose -3850 = -5*q + 5*t, -7*q + 4*q - 4*t + 2310 = 0. Suppose 2*b = 9*b - q. Let j = b + -75. Calculate the remainder when j is divided by 9.
8
Let b(l) = -l**3 - 3*l**2 - 19*l - 19. What is the remainder when 662 is divided by b(-5)?
32
Let v(n) = -n**2 + 37*n + 858. What is the remainder when v(52) is divided by 15?
3
Let k = -4 - -6. Let h be 2 - (-4 - 0)/k. Suppose -2*j - 5*v = -133, 0 = -j + h*v + 51 - 17. What is the remainder when j is divided by 19?
16
Let q = -1018 + 1021. Calculate the remainder when -5*((-28)/70 - 3/5) is divided by q.
2
Let t(j) = -17*j**2 + 631*j - 47. Let b(v) = -v**3 + 12*v**2 + 1. Let c be b(12). Let u = 108 - c. Calculate the remainder when u is divided by t(37).
26
Let b be (2/6)/((-5)/(-75)). Suppose -5*m - b = -55. Suppose 5*l = m*l - 5. What is the remainder when 2 is divided by l?
0
Suppose -2*w + 3407 = -3*j, -54*j + 55*j - 6849 = -4*w. What is the remainder when w is divided by 1710?
1
Suppose -4*f = 5*b - 136, 4*b - 102*f - 53 = -99*f. Suppose 0*y + 5*y + 30 = 0. Let v(o) = -13*o - 1. Calculate the remainder when v(y) is divided by b.
17
Suppose -s - 14 = -0*f - 5*f, 0 = -s - 2*f. Suppose 7 - 58 = -3*n. Calculate the remainder when s - (-6)/(-2) - (-6 + -47) is divided by n.
12
Suppose -3*n = 12, 5*d - 74 = -2*n + 88. Let k(i) = 2*i**3 + 26*i**2 + 26*i + 42. What is the remainder when d is divided by k(-12)?
16
Let v(n) = -93*n + 288. Let a(t) = -45*t + 144. Let x(u) = -9*a(u) + 4*v(u). Calculate the remainder when x(5) is divided by 6.
3
Let i be ((-122)/4)/(26/(-52)). Suppose 13*n - i = 30. Calculate the remainder when 258 is divided by n.
6
Let d = -412 + 740. Let w = 429 - d. Calculate the remainder when w is divided by 2*((-75)/(-2))/5.
11
Let p(r) = 9*r**3 + 52*r**2 - 61*r - 19. What is the remainder when 4390 is divided by p(-6)?
265
Let h(m) = 10*m + 70. Let c = -193 - -187. What is the remainder when 133 is divided by h(c)?
3
Let p(m) = m**3 + 24*m**2 + 25*m - 90. What is the remainder when p(-22) is divided by 65?
3
Let v(d) = 265*d + 123. Let a be v(-3). Let u = a + 711. Calculate the remainder when 153 is divided by u.
36
Suppose -2*k + 2*v + 2 - 4 = 0, -2*k = -v. Let s(y) = -14*y + y**2 - 3*y - k + 6*y + 7*y. Calculate the remainder when 65 is divided by s(-2).
10
Let s = 545 - 17. Suppose -a - 362 = -s. What is the remainder when a is divided by 57?
52
Let b = 111 - 81. Suppose -4*r + 1306 = 2*p, 0*p + p = -3*r + 981. Calculate the remainder when r is divided by b.
28
Let d(t) = t**3 + 35*t**2 + 60*t - 140. Calculate the remainder when 203 is divided by d(-33).
29
Suppose -11*k + 35 = -75. Suppose k*p = 21*p - 297. Calculate the remainder when 80 is divided by p.
26
Suppose -7*r = -2*r - 0*r. Suppose r = -d + 4*d - 81. Calculate the remainder when d is divided by 14.
13
Let s(h) = -12*h - 6. Suppose 8*f + 625 = 3*f. What is the remainder when 4/((-8)/410)*75/f is divided by s(-4)?
39
What is the remainder when 2336 is divided by 113 + 3/(-6)*-16 + -4?
113
Suppose 4*i + 28 = 6*i. Suppose -2*g - i = -42. What is the remainder when 37 is divided by g?
9
Let u = -780 - -814. Let h be 1/(-6) - 3/36*-26. Suppose 0 = 2*m - 0*m + h*b - 254, 2*m - 3*b - 279 = 0. What is the remainder when m is divided by u?
30
Let y(s) = -4*s**2 - 83*s - 282. Calculate the remainder when 132 is divided by y(-16).
0
Let f(h) = 2*h**2 - 6*h - 57. Calculate the remainder when f(17) is divided by 118.
65
Let w = -383602 + 383614. Suppose 3*f - 21 = -q, 2*f = 3*q - 2*f - 76. What is the remainder when q is divided by w?
0
Suppose 109*q = 63*q + 1472. What is the remainder when 11512 is divided by q?
24
Suppose -5*v + 16 = -31 - 58. Calculate the remainder when 214 is divided by v.
4
Let q = 357 + -75. What is the remainder when q is divided by (-5)/85 + (-256)/(-17)?
12
Calculate the remainder when 3 + 4 - (-2 - (2302 + 1)) is divided by 769.
5
Let r(t) = -18*t + 102. What is the remainder when 17 is divided by r(5)?
5
Let w(y) = -y**2 + 7*y + 42. Let h be (3 - 3)*(-3 + 13/4). Suppose p - 44 = -p. What is the remainder when w(h) is divided by p?
20
Let y(i) = i**2 + 11*i + 13. Let r be y(-10). Let x be (4 + -1)/(r/6). Suppose 46 - 4 = x*h. Calculate the remainder when 20 is divided by h.
6
Suppose -9*h + 16*h + 105 = 0. Let x(d) = -d**2 - 21*d - 79. Calculate the remainder when 105 is divided by x(h).
6
Suppose -5*n - 5 + 0 = 0. Let y = 74 + -68. Calculate the remainder when (-2)/(-3 - n) - -15 is divided by y.
4
Suppose 0 = 7*r - 10*r + 18. Calculate the remainder when 32 is divided by (((-341)/(-93))/(2/r))/1.
10
Suppose -3*d + 6*d = 24. Suppose -5*x - 9 = -d*x. Suppose 3*b + k = 27 + 51, 0 = x*b - k - 78. What is the remainder when 100 is divided by b?
22
Let x = -105 - -59. Let m = x - -48. Let d = 10 - m. Calculate the remainder when d is divided by 3.
2
Let b(j) = j - 6. Let m be b(11). Suppose -m*q + 9 = s - 18, -3*s + 1 = -q. Suppose u + u - 38 = -3*w, s*u = 2. What is the remainder when 18 is divided by w?
6
Let w(k) be the second derivative of -k**3/3 + 11*k**2 + k + 64. Let t(h) = -h + 9. Calculate the remainder when w(0) is divided by t(6).
1
Suppose 8*m - 15*m = 16*m - 50600. Calculate the remainder when m is divided by 78.
16
Let o be (-6)/(-10) + (-22)/(-55) + 245. Suppose 5*j - 105 - 396 = -2*b, b + j - o = 0. What is the remainder when b is divided by 61?
60
Let y = 78 + -51. Let f(x) = 3*x - 1. Suppose -21 = -8*g + 27. What is the remainder when y is divided by f(g)?
10
Suppose 6*d = -d + 42. Suppose d*h - 120 = 2*h. Let m = 25 - 9. Calculate the remainder when h is divided by m.
14
Suppose -3*m + 16 = 2*k, -16*m + 21*m = 2*k. What is the remainder when 1506/10 - (-2)/k is divided by 19?
18
Let a = -403 + 425. Let j(b) = -b. Let y(c) = 10*c + 10. Let l(h) = 18*j(h) + 2*y(h). Calculate the remainder when l(9) is divided by a.
16
Suppose -2376 = 5877*i - 5985*i. What is the remainder when 9832 is divided by i?
20
Suppose 0 = -2*b + b + 8. Let q(x) = -x**2 + 7*x + 10. Let r(s) = -3*s**3 - 69*s**2 - 94*s - 612. Calculate the remainder when r(-22) is divided by q(b).
0
Suppose -o + 30 = 4*o. Suppose -o = -t - 0*t. Suppose 30 = a + 20. Calculate the remainder when a is divided by t.
4
Let f = 2798 - 2120. Calculate the remainder when f is divided by 12.
6
Suppose -2*r + 6*r + 4*v - 152 = 0, 10 = 2*v. Suppose -4*w + w - 42 = 0. Let c(d) = d**3 + 14*d**2 + 5. What is the remainder when r is divided by c(w)?
3
Suppose r + p = 34, -r + 2*p + 34 = 7*p. Suppose 4*f = -3*x - r + 56, -15 = 3*f. Calculate the remainder when 51 is divided by x.
9
Suppose 0 = 928*p - 957*p + 516838. Calculate the remainder when p is divided by 13.
12
Let w = -12482 + 12503. Calculate the remainder when 587 is divided by w.
20
Suppose -5*y + 22*y = -2023. Let s = y - -151. Calculate the remainder when 381 is divided by s.
29
Let m = 3667 + -3216. What is the remainder when m is divided by 55?
11
Let z(r) = 67*r - 5. Let p be z(-1). What is the remainder when 47 is divided by (-2)/(-4)*(-46 - p)?
8
Let r(i) be the first derivative of -i**3 + 12*i**2 - 15*i - 37. Calculate the remainder when 18 is divided by r(7).
0
Suppose 0*k = 2*k - 208. Calculate the remainder when k is divided by 462/(-12)*60/(-105)*1.
16
Suppose -3*n = 5*a - 730, -2*n = 4*a + 114 - 596. What is the remainder when n is divided by 18?
3
What is the remainder when (273 - 5)/(5/(-21) + (-16)/(-28)) is divided by 198?
12
Let l(r) = -6*r**2 + 51. Let d be l(-7). Let z = 288 + d. What is the remainder when z is divided by 26?
19
Let g(q) = -q**3 + 14*