pose -9500 = -4*i + 4*g, 23*i + 11899 = 28*i + 3*g. Calculate the remainder when i is divided by 15.
8
Let m(b) = b**2 + 50*b - 40. What is the remainder when m(15) is divided by 47?
42
Suppose 20*r + 21 - 369 = -8. Calculate the remainder when 813 is divided by r.
14
What is the remainder when 118/4*(-3 - -27)*1 - -6 is divided by 11?
10
Let l(v) = -35*v. Suppose 0*b + 4*b = q + 281, -198 = -3*b + 5*q. Let p = 77 - b. Calculate the remainder when l(-1) is divided by p.
5
Let o(v) = -v**2 + 5*v - 3. Let r be o(2). Suppose r*g - 60 = -g. Suppose 3*p + 80 = 11*p. What is the remainder when g is divided by p?
5
Suppose 4*k - 5 = -k. Suppose 90*i - 4016 = -1496. What is the remainder when i is divided by (-1 - (15 - k))*-1?
13
Let f be ((-608)/5)/(-8*9/1080). Calculate the remainder when 132 is divided by (-42)/(-98) + (f/(-14))/(-4).
0
Let y = -52 - -3. Let m = y + 49. Calculate the remainder when 32 is divided by 235/35 - (m - 6/21).
4
Let n be -5 - -1 - (-4 - 35). Let l be 5579/n + 6/10. Suppose 3*m = -5*m + l. What is the remainder when 78 is divided by m?
18
Suppose -j - 4 = c - 7, -21 = -2*j + 3*c. Suppose 2*q + 19 - 3 = 4*i, -2*i = 2*q - 8. Suppose -k - 27 = -i*k. Calculate the remainder when k is divided by j.
3
Suppose -2*h - 72 = 4*g + 2*h, 0 = -3*h. Let q = g + 22. Suppose q*a + 1 = 5. Calculate the remainder when 3 is divided by a.
0
Let y be ((-1)/(-2))/((-8)/16). Let o be y - (-2 + 3) - 102. Calculate the remainder when (0 + 4)/((-13)/o) is divided by 12.
8
Let r(c) = -c**3 + 4*c**2 + 27*c - 80. What is the remainder when 1499 is divided by r(5)?
29
Calculate the remainder when 150 is divided by 98/12 - 449/2694.
6
Let k = 441 - 429. What is the remainder when 1137 is divided by k?
9
Let o be 1 + ((-4)/8 - 537/6). Let x = o + 103. What is the remainder when 151 is divided by x?
11
Let r be -3 - 10*(0 - 1). Let i be (-98)/r*(-15)/2. Calculate the remainder when 310/7 - 30/i is divided by 12.
8
Let s = 28 + 44. Calculate the remainder when s + 2 - (-7)/((-21)/(-9)) is divided by 20.
17
Let t(v) = v**3 - 3*v**2 - 53*v. Calculate the remainder when t(12) is divided by 264.
132
Let c(i) = -i**3 + 10*i**2 - 2*i + 26. Let a be c(10). Calculate the remainder when 30 is divided by (70/(-42))/((-1)/a).
0
Let m(x) = -4*x + 267. Let g(h) = -3*h + 1. Let i(p) = -4*g(p) + m(p). What is the remainder when i(-6) is divided by 70?
5
Let z = -7836 + 7923. Suppose 0 = -5*u + 150 - 35. Calculate the remainder when z is divided by u.
18
Let x(h) = 16*h + 984. Calculate the remainder when x(-39) is divided by 90.
0
Let o = 93 - -5. Suppose -c + 7 + 15 = -4*m, 3*c = -4*m + o. Suppose z = -1 + 90. What is the remainder when z is divided by c?
29
Let s(i) = 306*i - 2760. Calculate the remainder when s(28) is divided by 39.
36
Let l(w) = -w**3 - 2*w**2 + 3*w + 2. Let z be l(0). Let b be -37*(-3 - (z + -63)) - 2. Calculate the remainder when (2/6)/((-4)/b) is divided by 45.
44
Let d(v) = 2*v + 201. Suppose o - 46*o = 1710. Calculate the remainder when d(o) is divided by 27.
17
Suppose 4*m + 16 = 0, 3*w + 2*m = -0*w + 49. Suppose 20*p + w = 21*p. What is the remainder when ((-7)/(-3))/((-2)/(-48)) is divided by p?
18
Let d = -13 + 18. Let n(f) = -f - 2. Let o be n(d). Let i = 15 + o. What is the remainder when 55 is divided by i?
7
Suppose -1936*y + 1937*y - 357 = -2*x, -3*x - 1116 = -3*y. Calculate the remainder when 1103 is divided by y.
2
Suppose 4*s = -5*v - 0*v + 4081, -4*s + 4051 = -v. Suppose 15*n - s = 7161. Calculate the remainder when n is divided by 13.
12
Let w = 476 + -371. Suppose 3*n + 0*n = -3*y + w, -3*y + 65 = -5*n. What is the remainder when 116 is divided by y?
26
What is the remainder when (-5 - -3)/((-38)/3629) is divided by 86?
19
Suppose -8*r = -14*r. Suppose -5*c - 5 = r, 0 = -5*o - c + 3*c + 442. What is the remainder when o is divided by 46?
42
Let l = -17446 - -17479. What is the remainder when 89 is divided by l?
23
Let g(t) = -t**3 + 35*t**2 - 35*t + 60. What is the remainder when 118 is divided by g(34)?
14
Suppose 0 = -4*n + 7*n + w - 98, -3*n + w = -88. Let d be (-11)/(-2 - 27/(-12)). What is the remainder when n is divided by (1/2)/((-2)/d)?
9
Suppose -5251 = -10*t - 26*t - 53*t. Calculate the remainder when 588 is divided by t.
57
Let l = 73 - 68. Suppose 3 = 5*u - 3*z + z, -3*z = 2*u - l. Suppose -5*t - 5 = 5*h, 0*t = 5*t + h - 3. What is the remainder when u is divided by t?
0
Let u be -1*17*15/(-15). Suppose 3*l - 5*x + u = 0, -5*l = -7*x + 4*x + 39. What is the remainder when 113 is divided by 1463/63 + 0 + 2/l?
21
Let n(c) = 26*c**2 + 2*c + 2. Suppose 0 = 3*a + 3. Let h be n(a). Suppose h*o + 140 = 31*o. Calculate the remainder when o is divided by 6.
4
Let v = -10889 + 12303. What is the remainder when v is divided by 6?
4
Let r = 1982 + -1891. What is the remainder when r is divided by 43?
5
Suppose 0 = -10*o + 10, -3*f - 4*o = -0*f - 13231. Calculate the remainder when f is divided by 10.
9
Suppose o = -3*l + 42, 9*l - 6*l + 282 = 5*o. Suppose 63*v = o*v + 324. Calculate the remainder when 103 is divided by v.
31
Suppose -9*u = 2*u - 66. Suppose -15*o = -u*o - 5292. Calculate the remainder when o is divided by 37.
33
Suppose -3*g = -305 + 32. What is the remainder when g is divided by 2*9 - ((9 - 6) + -11 + 2)?
19
Let k = 1217 - 2119. Let w = k - -959. Calculate the remainder when 624 is divided by w.
54
Suppose 5*t + 3*b - 1017 = 0, 2*t - 107 = 3*b + 304. Let c = 129 - 76. Calculate the remainder when t is divided by c.
45
Let a(y) = y**3 + 59*y**2 + 754*y - 14. What is the remainder when 1122 is divided by a(-40)?
218
Let p(z) = -839*z**2 + 1689*z**2 - 47*z - 7 - 840*z**2. What is the remainder when 71 is divided by p(6)?
0
Let z(x) = 6*x**2 - 24*x + 104. Calculate the remainder when 1189 is divided by z(8).
5
Suppose 0 = 687*k - 717*k + 135 + 225. Calculate the remainder when 1864 is divided by k.
4
Suppose 0 = 4*s + 123 - 811. What is the remainder when s is divided by (1 - 452/(-12)) + 10/(-15) - 2?
28
Suppose 0 = -20*p + 1994 - 734. Calculate the remainder when 1256 is divided by p.
59
Calculate the remainder when (-1)/((16/(-14936))/(0 - -8)) is divided by 90.
88
Let u = 208 + -175. Suppose 33*a = 202 + 1481. Calculate the remainder when a is divided by u.
18
Suppose -7*l = -30*l. Suppose w - 265 + 237 = l. What is the remainder when w is divided by 21?
7
Suppose 0 = -15*j + 18*j - 9. Let u(y) = 5*y + 10 - 3*y - 9 + j*y**2. Calculate the remainder when u(3) is divided by 18.
16
Let v(b) = -b**3 + 15*b**2 + 3*b + 24. Let z be v(14). Let c = z - 251. What is the remainder when 386/4 + (-6)/(-12) is divided by c?
9
Suppose 4*h - 157 = -4*t - 41, 5*t = -2*h + 73. Suppose 33 = 13*k - 58. Let y = h + k. What is the remainder when y is divided by 17?
14
Let m(d) = -d**2 + 8. Let h be m(4). Let l be ((-12)/h)/(3/500). Suppose 0 = 5*r + 2*t - 251, -l = -5*r - t - 2. Calculate the remainder when r is divided by 5.
4
Suppose 10 = 5*x - 10. Suppose o - 5*o = -3*v - 239, v + 245 = x*o. Suppose 803*n = 5*p + 800*n - 101, 0 = n - 3. What is the remainder when o is divided by p?
18
Let z be (-2)/(-7) - (-12)/7. Let s = 23723 - 23720. Suppose -4*f + 3*y + 162 = 0, -5*y + z = -s*f + 118. What is the remainder when f is divided by 22?
20
Suppose -3*o = -530 + 29. What is the remainder when o is divided by -55 + 95/(1425/945)?
7
Let y = -416 + 425. Suppose -y*t + 11*t = -b + 155, -5*b = -4*t + 275. Calculate the remainder when t is divided by 26.
23
Suppose 4*n + 184 = -4*o, 7*o - 96 = 9*o + 4*n. Let t = -25 - o. Calculate the remainder when t is divided by 13.
6
Calculate the remainder when (3370 + 2)*111/148 is divided by 23.
22
Suppose -3*x - 8*r + 276 = -7*r, 186 = 2*x + r. What is the remainder when 200 is divided by x?
20
Let w(x) = x**3 - 5*x**2 - 15*x. Let n(l) = -8*l - 2. Let z be n(-2). Let u be (-1325)/(-175) - (-6)/z. Calculate the remainder when w(u) is divided by 11.
6
Let z = 101 - 163. Let q = z - -70. Suppose 14 + q = 2*l. What is the remainder when 39 is divided by l?
6
Let t = -11627 + 12343. What is the remainder when t is divided by 40?
36
Let c = -11249 - -11508. Calculate the remainder when 520 is divided by c.
2
Let h = -17797 + 18166. Calculate the remainder when 502 is divided by h.
133
Suppose 1961 =