p(d) = -15*d**2 - 29 + 25*d**2 + 7*d + 3*d**3 - 4*d**3. Let g be p(9). Let f = g - 59. Calculate the remainder when f is divided by 19.
18
Let s be 7/28 - (-74)/(-8). What is the remainder when 45 is divided by 7*((-3)/7)/(s/30)?
5
Let u(g) = -g**2 + 97*g - 667. Calculate the remainder when u(88) is divided by -8*-7*(-1)/(-4).
13
Let f = -210 - -213. Suppose -v - 4*v + 440 = -f*h, 5 = h. What is the remainder when v is divided by 33?
25
Suppose -22815 = -40*h + 5025. What is the remainder when h is divided by 54?
48
Let b(z) = -18*z**2 - 90 - 20*z**2 + 39*z**2 - 16*z. Let j(s) = 6*s - 3. What is the remainder when b(-7) is divided by j(3)?
11
Suppose -2*k - 3*s + 85 = 8, 5*k = -2*s + 176. Suppose h = 3*l + k, 5*l + 150 = -32*h + 37*h. Calculate the remainder when 111 is divided by h.
27
Let z = -1980 + 2970. What is the remainder when z is divided by 247?
2
Suppose -3*v + 50 = 5*x - 232, 0 = -v + 2*x + 105. What is the remainder when v is divided by 27?
18
Suppose 18*q + 30 = 23*q. What is the remainder when 2/q*15 - -30 is divided by 10?
5
Let s(r) = 14*r - 23. Let t(h) = -7*h + 12. Let j(g) = 3*s(g) + 5*t(g). Calculate the remainder when j(3) is divided by (-15)/((9/(-2))/3).
2
Let v = 4663 - 1209. Calculate the remainder when v is divided by 36.
34
Calculate the remainder when 415*(-4)/(-2)*2979/9930 is divided by 3.
0
Suppose -13167*v - 9 - 327 = -13181*v. What is the remainder when 2011 is divided by v?
19
Let j(u) = 5*u**2 - 64*u + 240. What is the remainder when 13022 is divided by j(7)?
35
Let l = -100 + 94. Let p be ((-22)/l)/((-8)/(-168)). Let k = p + -62. What is the remainder when 21 is divided by k?
6
Let p = -449 - -329. Calculate the remainder when 147 is divided by ((-63)/6)/((-5)/(p/(-18))).
7
Suppose -11*w - 14 = -18*w. Suppose w*n = -4*b + 400, 5*n = -5*b + 3*n + 499. Calculate the remainder when b is divided by 25.
24
Let z = 301889 - 301883. Suppose -4*w = -2*v - 74, -5 = 5*w - 5*v - 95. Suppose 0 = -2*j + 7 + w. What is the remainder when j is divided by z?
1
Suppose p - 16 = -n, 3*p + 21*n - 26*n - 80 = 0. Suppose 0 = 2*t - 188 - 20. What is the remainder when t is divided by p?
4
Let r(p) = 4*p - 318 - 26*p + 346. What is the remainder when r(-4) is divided by 20?
16
Let g(j) = -4*j - 29. Let a be g(-8). Let q(r) = 4*r - 10. Let m be q(a). Suppose -m*c + 6 = c. Calculate the remainder when 7 is divided by c.
1
Let x(h) = h**2 - 14*h + 27. Let n be x(12). Suppose 6 + n = -3*i + 5*l, i - 4*l + 3 = 0. Calculate the remainder when 119 is divided by (6/i - -14) + -1.
9
Suppose 8*i = -28*i + 13289 + 643. Calculate the remainder when i is divided by 82.
59
Let d be ((-44)/(-12))/(-11)*(-1 + -95). Suppose -34*f = -d*f - 124. Calculate the remainder when f is divided by 17.
11
Suppose -3*h - 2*z + 111 = -5*z, 5*h - 181 = z. Suppose 2*n + 2*b = 422, 3*b = -12*n + 7*n + 1059. Calculate the remainder when n is divided by h.
33
Let w = -19571 - -56288. Calculate the remainder when w is divided by 90.
87
Let a(d) = d**2. Let i be a(1). Let r(u) be the first derivative of 5*u**4/4 + u**3 - u**2/2 - u - 455. What is the remainder when 25 is divided by r(i)?
1
Let k = 32 + -31. Let o(m) = -48*m + 4. Let f be o(k). Let v = 77 + f. What is the remainder when 63 is divided by v?
30
Let u(i) = -7*i + 45. Let z be u(6). Suppose z*f - 2*m = 199, 18*f - 15*f - 4*m - 203 = 0. Calculate the remainder when f is divided by 33.
32
Let z be 231/2 - 3/6. Suppose -4*y - y + z = 0. Suppose 23 = 2*m - 178*v + 179*v, -v + 5 = 0. Calculate the remainder when y is divided by m.
5
Suppose 13*n - 32 = 254. Let u(b) = -7*b**3 - 2*b**2 - 2*b - 3. Let m be u(3). Let w = -130 - m. Calculate the remainder when w is divided by n.
20
Calculate the remainder when (-2028 - 1)/(-10*14/420) is divided by 29.
26
Suppose 0 = 2*r + r - 159. What is the remainder when r is divided by 34 + (36/12 - 29)/2?
11
Let u(w) = 49*w - 3794. What is the remainder when u(85) is divided by 176?
19
Let u = -72 + 96. Let m = -88 + 129. Calculate the remainder when m is divided by u.
17
What is the remainder when 147 is divided by 23 + (12/24)/((-2)/16)?
14
Calculate the remainder when 58 is divided by 10 + -3*(2 - 1).
2
Let j(l) = -5*l**3 + 20*l**2 - 2*l - 7. Calculate the remainder when 3902 is divided by j(3).
30
Let x = 100 - 63. Suppose 0 = -46*v + 1383 + 3493. Calculate the remainder when v is divided by x.
32
Suppose q = 2*u - 410, 39*q = -5*u + 42*q + 1027. Let c = -35 - -104. Calculate the remainder when u is divided by c.
65
Let a(k) = -k**3 - 23*k**2 + 172*k + 274. Suppose -5*u - 3*g = -145, -160 = -4*u - 2*g - 46. What is the remainder when a(-29) is divided by u?
20
Let r = 15193 + -15114. Calculate the remainder when r is divided by 20.
19
Suppose -4*h + 5*m = -542, -694 = 4*h - 9*h - 2*m. What is the remainder when h is divided by 70?
68
Let p be 5/(-15)*3*(2 + -2). Suppose p = 5*y + 5, 3*u + 18 = 7*u + 2*y. Suppose -4*o = -u*o + 95. Calculate the remainder when o is divided by 24.
23
Calculate the remainder when (-36)/(-7)*45/((-1755)/(-35854)) is divided by 91.
87
Let i = 33 - 27. Let d(t) = 23 - t**3 + 29 + 7*t**2 + t - 60. Calculate the remainder when d(i) is divided by 18.
16
Let y = 1620 - 969. Let u = y + 162. Calculate the remainder when u is divided by 68.
65
Suppose -380 = -v + 4*h - 154, -5*h + 235 = v. Suppose 60 = 2*o - o - 2*y, 3*y + v = 4*o. Let m = 79 - 59. Calculate the remainder when o is divided by m.
16
Let y = 239 + -216. Suppose -y*v = 6*v - 116. Calculate the remainder when 80 is divided by v.
0
Suppose 250 = 17*x - 7*x. Let m be ((-2)/(-5))/(1/x). Suppose m*z - 156 = 6*z. What is the remainder when z is divided by 10?
9
Suppose 3*t = -20 + 272. Let k(d) = -d**3 - 33*d**2 - 31*d + 54. What is the remainder when t is divided by k(-32)?
18
Suppose -t - 3*i = 2*i + 1, -t = -2*i - 13. Suppose -396 = -15*r + t*r. Suppose 3*d = -d + 68. What is the remainder when r is divided by d?
15
Let r be -1 - 6/((-10)/5). Let u(s) = s**2 - 3*s + 5. Let j be u(r). Calculate the remainder when 102 is divided by 312/(-16)*(-4)/j.
24
Let x = 103 + 106. Let w = x + -108. Suppose 98*f + 27 = w*f. Calculate the remainder when 14 is divided by f.
5
Let v = 7609 - 7550. Let g(n) = 2*n**2 - 3*n - 2. Calculate the remainder when v is divided by g(-2).
11
Let x = 3 - -6. Suppose 0 = -15*j + 244 + 191. What is the remainder when (j/9)/(2/18) is divided by x?
2
Let i = -12258 + 12284. What is the remainder when 827 is divided by i?
21
Suppose 2*c + 20 - 12 = 3*n, 5*c + 2*n + 20 = 0. What is the remainder when 150 - (c + (1/1 - -2)) is divided by 31?
27
Suppose 0 = -5*y + 7*y - 10. Suppose 0 = 2*c - 7*c - 3*w + 26, -5*w + 30 = y*c. Calculate the remainder when 35 is divided by c.
3
Let g = -14210 + 14215. What is the remainder when 364 is divided by g?
4
Suppose 0 = 49*z - 10*z - 6006. Calculate the remainder when z is divided by 34.
18
Suppose -601*c + 10988 = -585*c - 40036. Calculate the remainder when c is divided by 29.
28
Suppose 213 + 1008 = 5*j + 106*j. What is the remainder when 591 is divided by j?
8
Suppose 0 = -189*g + 136*g + 14098. Calculate the remainder when g is divided by 29.
5
Suppose 0*r + 5*d = 3*r + 606, 5*r = 3*d - 1010. Let p = r + 268. Calculate the remainder when p is divided by 26.
14
Calculate the remainder when 24/9 - 2 - (-131838)/126 is divided by 25.
22
Let b(l) = -l**3 - 14*l**2 - 12*l - 39. Let c be b(-15). What is the remainder when 463 is divided by c/14 - 13*(-9)/(-819)?
21
Suppose 6*h - 208 = -2*h. Calculate the remainder when (-1 + 2)/((-55)/(-5500)) is divided by h.
22
Let y(h) = 5*h - 46. Suppose 72 = 184*u - 176*u. What is the remainder when y(25) is divided by u?
7
What is the remainder when 49042/18 - ((-760)/90)/19 is divided by 88?
85
Suppose -v = 4*v - 9750. Let x be v/14 + 14/(-49). Let s = -80 + x. Calculate the remainder when s is divided by 15.
14
Suppose -g = -4, -2*z = 2*g - 4*g - 3688. Suppose 0 = -6*r - 5*r + z. Calculate the remainder when r is divided by 10.
8
Let j(f) = 46*f - 1492. Calculate the remainder when 354 is divided by j(34).
66
Let x(a) = a**2 + 16*a - 3*a**3 - 58*a + 33*a - 12 - 6. What is the remainder when x(-3) is divided by 30?
9
Let w = -345 - -365. Let r = -324 + 347. What is the remainder when r is div