when g is divided by 27.
4
Suppose 2*t = 3*t - 4*f - 265, -5*f + 283 = t. Suppose y + 78 = v, -2*y = -16*v + 22*v - 396. What is the remainder when t is divided by v?
66
Let a be 7/42 - (-2)/(-12). Suppose a = -11*q + 5*q + 66. Calculate the remainder when 152 is divided by q.
9
Suppose -4*q + 438 = -5*z, 3*q - 133 = -3*z + 209. Let m be ((-57)/4)/((-28)/q). Suppose -10*f = -7*f - m. What is the remainder when f is divided by 4?
3
Suppose -3*r = -237*p + 239*p - 3216, 3*r + 3*p = 3207. What is the remainder when r is divided by 111?
79
Suppose -g = -7 - 21. Suppose 32 = 4*z - 2*l + 20, 5*z - 4*l = 15. Suppose -5*m = -5*c + 40, c - 2*m = -z*c + 36. What is the remainder when g is divided by c?
8
Let o(b) = -b**3 - 32*b**2 - 29*b + 77. Suppose 0 = 7*x + 93 + 124. Calculate the remainder when 269 is divided by o(x).
14
Suppose 148*u - 420 = 772 + 5912. Suppose -377 = k - 0*k - 4*a, 4*k = 4*a - 1496. Let w = 658 + k. What is the remainder when w is divided by u?
45
Suppose 532 = 14*a - 1209 - 835. Calculate the remainder when a is divided by 20.
4
Let m = -28814 - -28868. Let l(f) = 12*f - 4. What is the remainder when m is divided by l(3)?
22
Let s(j) = 29*j**2 - 65*j - 138. What is the remainder when 1402 is divided by s(-2)?
106
Let c = 2065 + -2034. Let i = 1139 - 747. Suppose -148 - i = -6*z. What is the remainder when z is divided by c?
28
Suppose 9 - 26 = 8*p - 33. Let b(c) = -13*c**2 + 7 + 42*c**2 - 5*c + c. Calculate the remainder when b(p) is divided by 58.
57
Suppose 44 = 6*g + 74. Calculate the remainder when (g/(-3))/(6/72) is divided by 5.
0
Let d(k) be the third derivative of 7*k**4/12 + 7*k**3 - 6*k**2 - 5. What is the remainder when d(8) is divided by 41?
31
Suppose 3*v - 36 = -21. Suppose 31*t - 29*t + 5*x - 17 = 0, 5 = v*x. Calculate the remainder when 28 is divided by t.
4
Suppose 0*o = 5*n - 3*o - 339, -5*o - 147 = -2*n. Let z = -249 - -284. Calculate the remainder when n is divided by z.
31
Let a = 33 + -2. What is the remainder when ((-42)/(-12) + -2)*-75*(-28)/70 is divided by a?
14
Let s be (-877)/(-4) - (-22)/(-88). Let h = 232 - s. What is the remainder when 29 is divided by h?
3
Let r(h) = -h**2 - 35*h - 7. Let z be r(-34). Suppose 0 = -23*o + z*o - 104. Suppose -7*q + 56 = -3*q. Calculate the remainder when o is divided by q.
12
Suppose -159*x + 30 = -162*x. What is the remainder when -22*(3 + (5 - (-125)/x)) is divided by 27?
18
Let t = -18826 - -19233. What is the remainder when t is divided by 132?
11
Let u(d) = -7*d**2 + 20*d + 78. Let l(k) = 27*k**2 - 78*k - 313. Let j(b) = -2*l(b) - 9*u(b). Calculate the remainder when j(-3) is divided by 13.
12
Calculate the remainder when 850 is divided by (-12 - -99) + 8 + 4.
58
Suppose -306*l + 303*l = -2*w - 26, 0 = 4*l + 5*w - 27. Calculate the remainder when 890 is divided by l.
2
Let k be (-274)/(-1 - (3 + -6)). Let b = k + 352. What is the remainder when b is divided by 31?
29
Suppose -10*v = -8*v - 36. Let i = -548 + 600. What is the remainder when i is divided by v?
16
Let t(x) = -2*x**3 + 28*x**2 + x + 7. Let v be t(14). Suppose -6*g + v + 45 = 0. What is the remainder when 20 is divided by g?
9
Suppose 5*w + 398 = -3*s + 1783, 2*s + 831 = 3*w. What is the remainder when 737 is divided by w?
183
Suppose 25*j = 18*j + 16*j - 135. What is the remainder when 389 is divided by j?
14
Suppose 0 = k - 5*p + 4*p - 35, -135 = -4*k + 3*p. Suppose -38*d + k*d = -888. What is the remainder when d is divided by 28?
27
Let h(w) = -w**3 - 9*w**2 - 12*w - 7. Let z be h(-8). Suppose -3*q = -2*t - 4*q + z, -5*t - q = -70. What is the remainder when 56 is divided by t?
11
Let l(d) = -d + 25. Let u(i) be the third derivative of -i**5/60 + 7*i**4/24 + i**3/6 - 7*i**2. Let z be u(5). What is the remainder when 53 is divided by l(z)?
11
Suppose 5*z + 25 = 4*y, -3*y + 30 = 2*y - 5*z. Suppose y*a = 9*a - 544. Calculate the remainder when a is divided by 14.
10
Suppose 50*q = 67*q - 493. Let c = -3 + -1. Calculate the remainder when q is divided by c/32*-10*4.
4
Let s(z) = -z**3 + 32*z**2 - 46*z + 2004. Calculate the remainder when 1601 is divided by s(32).
5
What is the remainder when (315/225 + (0 - 0))*835 is divided by 130?
129
Suppose u - 1 = 0, 5*a = 13*u - 15*u + 58087. What is the remainder when a is divided by 35?
32
Let p(l) = l**2 - 6*l + 20. Suppose 2*n - 2*d = -0*n - 26, -4*d = 3*n + 11. What is the remainder when p(n) is divided by 60?
35
Let x be 7998/7 - (-1 + (-66)/(-42)). Suppose -9*v + x = 332. What is the remainder when v is divided by ((-7 - 2) + 1)*-2?
10
Let m(n) = -n**2 - 17*n - 36. Let u be m(-12). Let a be 125 - (-6)/(-9*(-4)/u). Let f = a - 115. What is the remainder when 66 is divided by f?
10
Let x be (-4)/1 - (-5 - 3 - -4). Suppose -2*m = 3*k - 0*k - 31, -k + 4*m + 15 = x. Calculate the remainder when 51 is divided by k.
7
Let m be 2/(-3)*57*(-1)/2. Let b(d) = d**2 - 17*d + 1. What is the remainder when 230 is divided by b(m)?
35
Let x(r) be the third derivative of r**5/60 + r**4/4 - 21*r**3/2 - 6*r**2 - 2. What is the remainder when 125 is divided by x(-12)?
8
Suppose -6*n - 6*m = -10*n + 1486, 4*n - m - 1491 = 0. Calculate the remainder when n is divided by 119.
16
Suppose -4*l = -3*i - 0*i + 1323, 4*i - 1783 = -l. Let t = -390 + i. Calculate the remainder when t is divided by 14.
13
Suppose -3*b + 26 - 23 = 0, 2*n + 2 = 2*b. Suppose n = 8*x - 426 - 774. Calculate the remainder when x is divided by 28.
10
Suppose -5*f = -7*f + 10. Suppose f*n = 4*n + 24. Calculate the remainder when -2 - -1 - (-4 + (2 - 84)) is divided by n.
13
Let h be -12 - (-1)/4*-12. Calculate the remainder when 135 is divided by (47 + 0)/(8/(-7 - h)).
41
Let o(t) = 4*t - 4*t + 16*t - t**2. Let f be o(10). Let q = f - 41. Calculate the remainder when 37 is divided by q.
18
Let d(v) = -1 - 23825*v + 23824*v + 0. Let z = 189 - 115. What is the remainder when z is divided by d(-16)?
14
Let l = -102 + 174. Calculate the remainder when ((-39)/12)/((-3)/l) is divided by 11.
1
Suppose 5*o = u + 123, 3*o = -u + 3*u + 71. Let p = 214 + -230. What is the remainder when (-6)/p - (-6184)/64 is divided by o?
22
Let k(q) = -91*q + 1. Let l be k(-7). What is the remainder when -3*13/(-195) - l/(-10) is divided by -2 - 1*19/(-1)?
13
Suppose 117 = 86*h - 193 + 52. Calculate the remainder when 1062 is divided by h.
0
Let b = 3062 + -545. What is the remainder when b is divided by 36?
33
Let d be (0 + -2)*(-9)/(-18) - -155. Let a = -130 + d. What is the remainder when 45 is divided by a?
21
Suppose 0 = -2*f + 3*f - 2*a - 38, 5*f - 4*a - 166 = 0. Suppose -f*i + 34*i = 16. Suppose i*k = 29 + 883. Calculate the remainder when k is divided by 46.
44
Let l(v) = -684*v + 9621. Calculate the remainder when 1002 is divided by l(14).
12
Let o = 58 - 38. Let b be (-5)/(o/(-8))*(-39)/(-6). Let q = 5 + b. Calculate the remainder when 46 is divided by q.
10
Let u(i) be the first derivative of -255*i**2 - 52*i - 82. What is the remainder when u(-1) is divided by 58?
52
Let w be 0*(-9)/(-6)*(-8)/12. Suppose w = -5*m + 6*m - 8. Let i(x) = 5*x - 6. What is the remainder when i(9) is divided by m?
7
Suppose 59*z - 6958 = -83*z. What is the remainder when 482 is divided by z?
41
Calculate the remainder when ((-1088)/(-48) + -14)*(-6)/2*-31 is divided by 27.
23
Suppose 2*o = -5*x + 1120 - 54, 2627 = 5*o + 3*x. Suppose 527*l = o*l + 140. What is the remainder when l is divided by 2*((-90)/(-4))/3?
5
Let y = -500 - -606. Calculate the remainder when (y - (-4)/(-4))/1 is divided by 30.
15
Suppose -d - 4 = -7. Let o(f) = 9*f + 419. Let p be o(-14). Suppose -34 = -d*g + p. What is the remainder when g is divided by 11?
10
Suppose 4*s - 137 = 31. Suppose 63 = -6*u + 10*u + w, -79 = -5*u - w. Calculate the remainder when s is divided by u.
10
Let t(f) = -6 + 6 + 4*f + 2*f + f**3 + 4 + 7*f**2. Calculate the remainder when 18/1*80/32 is divided by t(-5).
21
Let m = -17349 + 17355. Let t = -6 + 8. Suppose -42 = -o - o + 5*s, 0 = -t*s - 8. Calculate the remainder when o is divided by m.
5
Suppose -2*g + 108 = 3*c + 3*g, 3*c = -3*g + 108. Let p = 45 - c. Calculate the remainder when 104 is divided by p.
5
Let z(c) = -2*c**3 - 4*c**2 - 3*c + 3. Let x be (1 + (-2)/(-6))*63/14. Suppose 7*h - 260 = -x*h. What is the remainder when z(-4) is 