 is the remainder when x is divided by 27?
15
Let g = -488 - -1142. Calculate the remainder when g is divided by 11.
5
Suppose 11*o - 54*o - 316 + 1477 = 0. Let z(m) = 3*m**2 - 2*m - 4. Calculate the remainder when o is divided by z(3).
10
Let p = -15 + 18. Suppose -3*y - p*l + 20 = -y, 2*y - 48 = 4*l. What is the remainder when 62 is divided by y?
14
Let a = 18016 + -14877. Calculate the remainder when a is divided by 6.
1
Let g(t) = -2*t**3 - t**2 - 19*t - 195. Calculate the remainder when 2389 is divided by g(-5).
14
Suppose -30*f + 1350 = -24*f. Suppose 57*h - 62*h = -f. What is the remainder when h is divided by 7?
3
Suppose -4629 = -7*p + 292. What is the remainder when p is divided by 144?
127
Let l(y) = 52*y**2 + y + 1. Let c(r) be the third derivative of 5*r**4/8 + 41*r**3/6 + r**2 + 22*r. Calculate the remainder when l(-1) is divided by c(-2).
8
Suppose a + 85 = 2*o, -123 - 123 = 3*a + 3*o. Let i = a + 56. Calculate the remainder when 51 is divided by (-9)/(i/(-12)) - -17.
12
Let x be 7 + -8 - 4*14. Let g = -132 - x. Let n = -66 - g. Calculate the remainder when 15 is divided by n.
6
Let j(i) = -i**3 + 22*i**2 + 6*i - 83. Let p = -479 + 501. What is the remainder when j(p) is divided by 9?
4
Let s(a) = -5*a. Let i be s(-1). Calculate the remainder when ((-8)/i)/(-1*8/260) is divided by 16.
4
Calculate the remainder when 644 is divided by 442*(136/16 + 72/(-9)).
202
Let p(r) = -34 + 3*r - r**2 + 15*r + 4*r. Calculate the remainder when p(16) is divided by (14 + -3)/((-3)/(-6)).
18
Let w(t) = 15*t**3 + t**2 - t - 9. Let g(s) = s**3 + 4*s**2 - 22*s - 7. Calculate the remainder when w(2) is divided by g(-6).
7
Let w = -58 + 56. Let n be w/(-8)*(26 + -6). Suppose 43 = n*s - 262. Calculate the remainder when s is divided by 32.
29
Suppose -3*x = -m + 6*m - 66, 4*m - 5*x = 38. Calculate the remainder when m is divided by 21 + -26 - (0 + 2 + -11).
0
Let h(o) = o**2 + 3*o - 12. Let g(k) = 5*k + 31. Suppose 3*v - 2*x = -x - 20, -v = 4*x + 24. Let r be g(v). What is the remainder when h(r) is divided by 15?
12
Let t(y) = y**3 + 5*y**2 - 7*y - 12. Let j be t(-6). Suppose 0 = 35*o + 16*o - 816. What is the remainder when (-4086)/(-54) - 2/j is divided by o?
12
Let z = 1917 + 778. Calculate the remainder when z is divided by 6.
1
Suppose -14*c = -3010 - 406. Let a = c + -215. Calculate the remainder when a is divided by 23.
6
Suppose -11966*g - 1663743 = -12037*g. Calculate the remainder when g is divided by 31.
28
Let p = 2027 - 1809. What is the remainder when p is divided by 80?
58
Let g = 10388 + -10352. Calculate the remainder when g is divided by 6.
0
Let x(u) = 163*u - 34. Let s be x(2). Suppose 2163 - 598 = 5*q + 4*n, 0 = -q - 5*n + s. Calculate the remainder when q is divided by 29.
27
Suppose -k = 0, -132 = -3*i + 2*k - 4*k. Suppose i = g - 22. Let d = g + -29. Calculate the remainder when d is divided by 20.
17
Let j(f) = 110*f**2 - 104*f - 40. Calculate the remainder when j(10) is divided by 121.
119
Let h(i) = -385*i - 2908. Calculate the remainder when 1364 is divided by h(-8).
160
Let m(p) = p**3 - 2*p**2 - 11*p + 16. Let i be m(4). What is the remainder when (-18)/12 + i/((-24)/(-489)) is divided by 35?
10
Let s(d) = -d**3 - 17*d**2 - 45*d - 14. Suppose 0 = -4*i + 164 - 220. Calculate the remainder when s(i) is divided by 12.
4
Let z be (1 + 35)*-10*6/(-120). Suppose 0 = 4*w - z*w + 728. What is the remainder when w is divided by 22?
8
Let t(y) = y**2 + 5*y + 17. Let j be t(-4). What is the remainder when 53 is divided by -4 + 3 + 3 + j?
8
Suppose 525720 = -35*v + 25*v. What is the remainder when (-6)/(-51) + v/(-221) is divided by 40?
38
Suppose 2*b + 3*b = s + 94, 54 = 3*b - 3*s. Let q(v) = -10*v + 15. Let k be q(0). What is the remainder when b is divided by -3 + -2 + k + -7?
1
Let g(q) = 3*q**2 + 7*q - 36. What is the remainder when 1047 is divided by g(-6)?
27
Suppose 4*w - 35 = c + 396, -5*w = c - 523. Calculate the remainder when 172 is divided by w.
66
Calculate the remainder when ((-1)/3)/(3/(-99)) is divided by 6/14 - 575/(-161).
3
Suppose 3*v + 2*w = 147, v + w = 2*v - 49. Calculate the remainder when v is divided by (-50)/4*(-324)/(-405) - -28.
13
Suppose 30*d - 6489 = -18*d - 921. Calculate the remainder when d is divided by (8/6)/(4/204).
48
Suppose -4*h + 44 = -124. Let j(m) = -18*m - 43. Let d(w) = -3*w**2 - 3*w - 3. Let l be d(-1). What is the remainder when h is divided by j(l)?
9
Suppose m + 2*m - 137 = 4*h, -4*m - h = -208. Let a be (-1)/2 + 46/(-4). Let b = a + 30. What is the remainder when m is divided by b?
15
Calculate the remainder when (-457 + 1 + -11)*-3 is divided by 27.
24
Let h = -1454 + 1535. Calculate the remainder when h is divided by 25.
6
Suppose -65*h = 2*y - 61*h - 1604, -4*h = -5*y + 3926. What is the remainder when y is divided by 375?
40
Let l(a) be the third derivative of -7*a**4/24 + 10*a**3 + 3*a**2 + 28. Calculate the remainder when 30 is divided by l(8).
2
Suppose 2*j - 29 = 21. Suppose 50 = z + 36. What is the remainder when j is divided by (-2 - 0) + z - (7 - 8)?
12
Let x(a) = -3*a - 8. Let l be x(-4). Suppose 2*i + 63 = 3*p + i, 28 = 2*p + l*i. Suppose -p*c + 335 = -15*c. What is the remainder when c is divided by 23?
21
Suppose 84*n - 93*n = -126. Suppose n*i - 17*i + 18 = 0. What is the remainder when 34 is divided by i?
4
Let y(h) be the second derivative of 2*h**4 - 5*h**2/2 + 14*h. Let a(c) = -20*c - 1. What is the remainder when y(2) is divided by a(-1)?
15
Suppose -11*v - 41*v + 25220 = 0. Let i = 511 - v. What is the remainder when 64 is divided by i?
12
Calculate the remainder when 2588 is divided by 672/378*(-6)/(-16)*12.
4
Let m be (1 - -4)*1/1. Suppose 5*s = 0, -77 = -u - m*s + 73. What is the remainder when u is divided by 32?
22
Let z be 26 - 0/(0 - 2). Let y = -9 + z. Calculate the remainder when (-1245)/(-6)*12/30 is divided by y.
15
Let d(n) = 3*n**3 - 21*n**2 - 76*n - 2. What is the remainder when 211 is divided by d(10)?
73
Calculate the remainder when 2948 is divided by (-2 + -1)*945/(-567).
3
Suppose 4*a = 2*k + 2*a + 66, 114 = -3*k - 2*a. What is the remainder when (-1 - 217/(-4)) + (-27)/k is divided by 29?
25
Suppose -5*r + 9 + 136 = 0. What is the remainder when r is divided by -3 + (-7)/(-1) + (-27)/(-3)?
3
Let t = 42820 - 42777. What is the remainder when 487 is divided by t?
14
Suppose 0 = -5*b + 5*s + 755, -5*s = -14*b + 11*b + 445. Let j = 185 - b. Calculate the remainder when 175 is divided by j.
25
What is the remainder when 196 is divided by (-102)/1377 + (-14872)/(-297)?
46
Let j(t) = 3666*t + 132022. Suppose 4*m + m - 63 = -4*x, -m = x - 13. Let v = m + -4. What is the remainder when j(-36) is divided by v?
4
Suppose -47*g + 0*g + 11804 = 5*g. What is the remainder when g is divided by 41?
22
Suppose -3*j = -z + 71, j = -2 + 1. Calculate the remainder when z is divided by (-90)/(-50) + (-946)/(-55).
11
Let d(c) = -c**3 - 17*c**2 - 340*c - 5657. Suppose 2*k = -4*r + 132, -4*r + 120 = -4*k - 0*k. Calculate the remainder when d(-17) is divided by r.
27
Suppose 36*w = 3319 - 547. Suppose 0 = 4*c - 27 + 7. Suppose i + 11 = 2*i - 2*s, c*s - 57 = -4*i. What is the remainder when w is divided by i?
12
Let n(q) = 11*q + 24. Let c(z) = 5*z + 12. Let o(r) = 9*c(r) - 4*n(r). Let v be o(-7). Calculate the remainder when (-4 + v)/(2/386) is divided by 49.
46
Let h = -73 + 156. What is the remainder when h is divided by 103500/(-8280)*(1 + (-4 - -1))?
8
Let q = 144 + -234. Let b = 117 - q. What is the remainder when b is divided by 54?
45
Suppose -598503 - 642282 = -274*g - 29*g. Calculate the remainder when g is divided by 28.
7
Calculate the remainder when (-1 - 50*-12) + -8 + -9 is divided by 44.
10
Let i be (-4713)/(-9) + (-8)/12. Suppose 6*p - i = -289. Calculate the remainder when p is divided by 16.
7
Let j(r) = -161*r + 173. Suppose 0*u = -5*u + 105. Suppose 6*m - 5*m - u = 0. What is the remainder when m is divided by j(1)?
9
Let n(f) be the second derivative of -f**4/6 - f**3/6 - f**2 + 15*f. Let x be n(0). Let s(p) = 6*p**2 - 1. What is the remainder when s(x) is divided by 6?
5
Suppose 280 = 9*v - 4*t, 2*t + t = 5*v - 154. Calculate the remainder when (4/(v/(-6)))/(6/(-1464)) is divided by 27.
21
Suppose p + 5 + 0 = 0, -4*j + 89 = -p. Suppose 1139