8941. Calculate the remainder when p(39) is divided by 107.
79
Let y(m) = -m**3 + 114*m**2 - 747*m - 205. Calculate the remainder when y(107) is divided by 1*12/(-2)*-1.
3
Suppose -5*m = f + f - 249, 2*f + 4*m - 248 = 0. Let u = f - 223. Let p = 214 + u. What is the remainder when p is divided by 23?
21
Let i = 3724 + -3639. What is the remainder when 212 is divided by i?
42
Let o be (-860)/18 + (114/(-27) - -4). Let s = 49 + o. What is the remainder when (-66)/(-4)*(1/(-3) + s) is divided by 6?
5
Suppose 2*z + 19*z + 5733 = 0. Let m = 294 + z. What is the remainder when 93 is divided by m?
9
Suppose 12 = -5*y + 22. Let a = -325 - -342. Calculate the remainder when (-15)/y*288/(-45) is divided by a.
14
Let l be (-128)/112*-21 + -73. Let u(s) = s**2 - 11*s - 3. Let i be u(6). Let q = i - l. What is the remainder when 45 is divided by q?
13
Let s be (4/(-6))/(6 + 52/(-9)). Calculate the remainder when 72 + 0 + s/(-9)*6 is divided by ((-6)/8)/(2/(-56)).
11
Let v(o) = -8*o - 7. Let c(d) = -16*d - 14. Let a(j) = 2*c(j) - 5*v(j). Let z be a(-5). What is the remainder when (2 - z) + 16/(-4) is divided by 16?
15
Suppose -2*j + 277*b + 248 = 281*b, 5*b - 244 = -2*j. What is the remainder when j is divided by 64?
4
Let i = 18 - -25. Let u = -26 + i. Suppose 132 = 7*n - 5*n. What is the remainder when n is divided by u?
15
Let n be (4 + -2 - (-64)/(-12))*9. Calculate the remainder when 103 is divided by n*(45/10 + -5).
13
Let h = 3524 - 2462. Suppose 45*x - 3708 = h. What is the remainder when x is divided by 38?
30
Suppose -5*a = 4*y - 66, -53*a = -4*y - 57*a + 64. Let t = -54 - -88. Calculate the remainder when t is divided by y.
6
Let b(g) = 182*g + 563. Calculate the remainder when b(2) is divided by 15.
12
Let j = -1374 - -1665. What is the remainder when 298 is divided by j?
7
Let i(k) = -8*k + 40. Let n(g) = g - 2. Let y(b) = -i(b) - 10*n(b). What is the remainder when 74 is divided by y(-18)?
10
Suppose 0 = 1875*i - 1874*i - 4*d - 54, 0 = 2*i + 4*d - 72. Calculate the remainder when 1858 is divided by i.
10
Suppose 357 = 10*m - 7*m. Suppose 63 = 3*s - 5*x - m, 3*x - 56 = -s. Calculate the remainder when s is divided by 32.
27
Suppose -4 = -833*p + 831*p. What is the remainder when 248 is divided by p?
0
Let x = -2400 + 2424. Let r be (-2)/5 + 64/10. Let w = 9 + r. Calculate the remainder when x is divided by w.
9
Let u be ((15 + -8)*(-1)/(-7))/(-1). Let j = u + 5. Calculate the remainder when 26 is divided by j.
2
Let g(f) = 34*f + 74. What is the remainder when 334 is divided by g(1)?
10
Let v = 15 - 3. Suppose -61*u - 1680 = -85*u. What is the remainder when u is divided by 3 + v/3 + 18?
20
Let z = -86 + 784. Let p = z + -462. What is the remainder when p is divided by 17?
15
Let z(o) = o**3 + 4*o**2 - 2. Suppose 2*v = 3*h - 3*v - 51, h + 6*v - 17 = 0. Calculate the remainder when z(4) is divided by h.
7
Suppose 18*f - 15*f = -429. Let m = -125 - f. What is the remainder when 88 is divided by m?
16
Let d = 82 - 80. Let w be ((-66)/5)/((-6)/40). Suppose -8 = d*x - w. What is the remainder when x is divided by 15?
10
Let w(k) = k**3 + 11*k**2 - 13*k - 76. Calculate the remainder when w(-11) is divided by 63.
4
Suppose -2*y + 20769 = 6*y - 311. What is the remainder when y is divided by 88?
83
Suppose -20*j + 15*j - 3*q + 58 = 0, -4*q + 37 = 3*j. Let b = 14 - 16. What is the remainder when 3/((-3)/b) + 63 is divided by j?
10
Let l = -448 + 435. Let u = l - -57. What is the remainder when u is divided by 12?
8
Suppose -2*m = -8*m + 48. Let b be 472/m - (1 - 0/(-2)). Let n = b - 36. What is the remainder when n is divided by 8?
6
Let z be 21 - (1 + (-6)/((-2)/(-1))). Suppose -43*y + 149 = -z. Let p(v) = 3*v**3 - 3*v**2 - v - 4. What is the remainder when p(3) is divided by y?
3
Let t(i) = 8*i**2 + 21*i + 60. What is the remainder when 2950 is divided by t(-3)?
52
Let w be 62/22 - 20/(-110). Let a be w/(1 - -2)*3. Suppose 5*y = a*y - 2*p, -2*p = -4*y + 12. What is the remainder when 10 is divided by y?
0
Calculate the remainder when 18*(9 + 1688/72) is divided by 115.
9
Suppose -16 = -0*o - o - n, 5*n + 91 = 4*o. Calculate the remainder when -10*(-144)/30 + -92 + 72 is divided by o.
9
Let u(x) = -18 - 3*x - 31 + 69*x. What is the remainder when u(8) is divided by 30?
29
Let b be ((-2)/6 - (-24)/(-36))*-2. Suppose 32 = -3*c + 74. What is the remainder when -3 + b - 728/(-13) is divided by c?
13
Let t = -221 - -224. Suppose r - 62 = -4*j + t*j, 2*r - 4*j = 112. What is the remainder when 117 is divided by r?
57
Suppose -8*b = -382 + 86. Let w = b - 16. Calculate the remainder when w is divided by 14.
7
Suppose 165 = 63*h - 30*h. Suppose 5*y - 1169 - 293 = -4*f, -h*f + 5*y = -1805. Calculate the remainder when f is divided by 92.
87
Suppose 0 = -d + 2*v + 21, -11*d + 15*d - 5*v = 99. What is the remainder when 681 is divided by d?
30
What is the remainder when 208 is divided by -438*(-12)/216 - (-3 + (-40)/(-12))?
16
Let a be -7 + 28 - (4/1 - -1). Calculate the remainder when (-7175)/(-56) + 6 + (-2)/a is divided by 61.
12
Suppose -4*q - 79 = -255. Let b = -161568 - -161580. What is the remainder when q is divided by b?
8
Suppose 0*c - 60 = -3*c. What is the remainder when (-13 + (-95)/(-19) + 10)/((-4)/(-230)) is divided by c?
15
Let s be ((-32)/3)/((9/(-3))/18). Let i = s + -64. Suppose i = -3*b + 132 + 9. Calculate the remainder when b is divided by 17.
13
Suppose -7*o + 113 - 21 = -48. What is the remainder when 18334 is divided by o?
14
Let q(d) = 97*d - 1688. Calculate the remainder when q(19) is divided by 11.
1
Suppose 0 = 2*x + 24 - 342. Let n be (-8)/((-24)/21)*(-44)/(-14). What is the remainder when x is divided by (-1)/2 + (10 - (-671)/n)?
39
Suppose 3*j + 28 = -5*r, -2*j + 3*j = -r - 6. Let m = r - -34. Let g = 23258 - 23249. Calculate the remainder when m is divided by g.
2
Let p(t) be the first derivative of -13 + 3*t - 3/2*t**2. What is the remainder when 17 is divided by p(0)?
2
Let v = 430 + -426. What is the remainder when -2*3/v - 212/(-8) is divided by 2?
1
Suppose -11*s + 70 = -10*s. Suppose -71*n + s*n + 82 = 0. What is the remainder when n is divided by 21?
19
Suppose -4*h = r - 91, 107 - 24 = r - 4*h. Suppose 5*f + 93 = 288. Let o = r - f. What is the remainder when o is divided by 13?
9
Let z(u) = 60*u**2 + 13*u - 2. What is the remainder when z(5) is divided by 22?
1
Calculate the remainder when 80/16 + 0 - -666 is divided by 16.
15
Suppose l = w + 5*l - 31, w - l = 11. Let g(r) = r**3 + 52*r**2 - 19*r - 751. Calculate the remainder when g(-52) is divided by w.
12
Let y(n) = 2972*n - 67702. Suppose -2*i = i - 48. Calculate the remainder when y(23) is divided by i.
14
Suppose -5*c + 23 + 2 = 0, y = 3*c + 2. Let z = -91740 - -91764. Calculate the remainder when z is divided by y.
7
Let g be ((-10)/15)/(4/(-1362)). Let i = g - 204. Suppose 2*q - 8 = 0, -w + 94 - 17 = 3*q. Calculate the remainder when w is divided by i.
19
Let k = -281 - -261. Let l(n) = -n**2 - 19*n + 33. Calculate the remainder when 55 is divided by l(k).
3
Let d(y) = 9*y - 1. Suppose -2*n - 4*q + 2 - 6 = 0, 3*n + q = 19. Suppose 2*p = n*p - 294. Calculate the remainder when p is divided by d(2).
15
Suppose 2*n + p - 22 = -0*p, -4*n = -p - 50. What is the remainder when (0 + n)*90/60 is divided by (28 - 19) + 1/1?
8
Let z = 4158 - 4105. Calculate the remainder when z is divided by ((-2)/1)/((-8)/108).
26
Suppose -5*a + 195 = -2*r, 2*r - 133 = 3*a - 6*a. Calculate the remainder when a is divided by 11.
8
Suppose 3*q - 720 = 3*j, j = 3*q - 0*j - 724. Suppose 72 + q = 2*u. What is the remainder when u is divided by 6/33 - (-104300)/3278?
29
Let t(n) = 50 + 4*n - 30 + 162 - n - 12. What is the remainder when 101 is divided by t(-46)?
5
Calculate the remainder when 1380 is divided by 3/((-6)/(-124)) + (79 - 78).
57
What is the remainder when 96/168 + 9990/35 is divided by 13?
0
Suppose -3*l = 5*u - 7, 33*l - 36*l = -5*u + 43. Let g(p) = -p**3 + 4*p**2 - 1. What is the remainder when g(-6) is divided by u?
4
Calculate the remainder when ((450/(-27))/10)/(60/(-10296)) is divided by 276.
10
Suppose -4*s = 2*b - 450, s - 7*b = -11*b + 130. Calculate the remainder when 2086 is divided by s.
106
Suppose 3*z = -n - 14, -4*z + n - 14 = -0*z. What is the remainder when 8