4/(-27) + 2 + 2/k. What is the remainder when (117/i)/((-4)/8) is divided by 30?
27
Suppose 0 = 3*m - 4*q - 1156, 3*m - 19*q = -14*q + 1154. What is the remainder when m is divided by 24?
4
Let i(f) = -f**3 + 4*f**2 + 11*f + 9. Let q be i(6). Suppose q*k - 84 = 4*x - 17, x - 47 = -3*k. What is the remainder when 33 is divided by k?
16
Suppose -898 = -9*v + 1064. Calculate the remainder when v is divided by 79.
60
What is the remainder when 166 is divided by -10 + -2 - 71/(-1)?
48
Let r(c) = 6*c**2 - 10*c + 23. Suppose 5*q + 2*j = 25 + 293, 46 = q - 4*j. Let y = 87 - q. What is the remainder when r(5) is divided by y?
23
Let k = 9769 - 9758. What is the remainder when 2006 is divided by k?
4
Let a(t) = 6*t**2 + 130*t - 158. What is the remainder when a(30) is divided by 31?
28
Let g(z) = 26*z + 183. Calculate the remainder when 643 is divided by g(-6).
22
Suppose -178 = -25*x + 522. Calculate the remainder when 1259 is divided by x.
27
Suppose 4*b - 170 + 2 = -5*x, 0 = 3*x - 2*b - 70. What is the remainder when 1745 is divided by x?
9
Let l(y) = y**3 + 13*y**2 - 17*y + 27. Suppose 7 + 1 = -2*s. Let a(g) = 2*g**2 - g. Calculate the remainder when l(-14) is divided by a(s).
33
Let z = -179 - -181. Suppose -4*b = z*u - 98, -141 = -0*u - 4*u + 3*b. Calculate the remainder when 62 is divided by u.
23
What is the remainder when ((14 - -2) + 209880/(-550))/((-4)/10) is divided by 203?
102
What is the remainder when (30/10)/(((-3)/2658)/(2/(-4))) is divided by 439?
12
Suppose -3*a + 6*a - 5*n + 4 = 0, 14 = 5*a + 2*n. Suppose 0*y + 3*c - 55 = -y, -a*c + 57 = y. What is the remainder when y is divided by 13?
9
Let z = 16238 - 15835. Calculate the remainder when z is divided by 144.
115
Let o(t) = -t**2 + 10*t - 9. Let w be o(9). Suppose g - 25 = -w*g + 3*x, 2*x = -3*g + 42. Suppose -g = 5*i - 76. What is the remainder when 22 is divided by i?
10
Let r = -3617 - -3979. Calculate the remainder when r is divided by 126.
110
Suppose 35 = -7*c - 91. Let k = c - -25. Suppose -k*w = -54 - 16. What is the remainder when 28 is divided by w?
8
Let i be (-6)/8*52/(-13). Let n(q) = 8*q**3 - 2*q**2 + 3*q + 1. Calculate the remainder when n(i) is divided by (-630)/27*(-3)/2.
33
Suppose 47*j - 180 = 11*j. Suppose -4*z + j*z - 400 = 4*l, 4*z - 1528 = -2*l. What is the remainder when z is divided by 78?
72
What is the remainder when 177 is divided by 6*4*204/36?
41
Let d(c) = -c**3 + 6*c**2 + 4*c. Suppose 0 = -15*f - 33*f - 11568. Let l = f + 258. What is the remainder when d(5) is divided by l?
11
Let z be -2 - (-6 - -6) - 452. Let t = z + 479. Calculate the remainder when 72 is divided by t.
22
Suppose -240*q = -244*q + 1736. Let w = 688 - q. Calculate the remainder when w is divided by 51.
50
Let g = -943 - -947. Suppose -5*t + 1712 = -1043. Suppose -t = -g*b - 5*s - 138, -4*b = s - 409. What is the remainder when b is divided by 26?
24
Suppose 12 + 14 = -t - 3*d, t + 2*d + 29 = 0. Let r = t + 56. Let j = 24 + 6. Calculate the remainder when j is divided by r.
9
Let s = -229 - -426. Let w(j) = -j**3 + 2*j**2 + 6*j + 2. Calculate the remainder when s is divided by w(3).
10
Let d(a) = a + 49. Suppose 0 = -3*v - 7*t + 2*t + 580, -5*v + 1012 = -3*t. Calculate the remainder when v is divided by d(5).
38
Suppose 10*d - 13*d + 4779 = 56*d. Suppose 0*t - 2*t + 62 = -5*y, -4*t - 3*y + 72 = 0. Calculate the remainder when d is divided by t.
18
What is the remainder when (2050/328)/(2/96) is divided by 99?
3
Suppose 0 = 442*w - 590*w + 5476. Suppose 0 = -0*f - 3*f. What is the remainder when 146 - f - (-3)/(-3) is divided by w?
34
Calculate the remainder when ((8/(-2))/(-4 - -10))/((-10)/17985) is divided by 43.
38
Suppose -81 = -1934*k + 1931*k. Calculate the remainder when 99 is divided by k.
18
What is the remainder when 917 is divided by (-111)/4*4/(-3)?
29
Suppose -367 = m + 359. Let i = m - -734. Calculate the remainder when 93 is divided by i.
5
Let v(s) = s + 50. Let g be v(-4). Suppose -48*u = -g*u - 36. What is the remainder when 249 is divided by u?
15
Let d(y) = -y + 12. Let i = -137 - -142. Calculate the remainder when (20/3)/(4/6) is divided by d(i).
3
Let j(t) = 2*t + 39. Let b be j(-9). What is the remainder when 26 is divided by (-1)/(b/(-153)) - 14/49?
5
Suppose 0 = -5*p + 5, 4*n - 4*p - 226 = 254. Let q = 100 - n. Calculate the remainder when q*260/(-45) - 4/(-6) is divided by 31.
29
Suppose -10*a = -8*a + 4. Let h be 20/((-3 - -2)*a). Suppose -h = -2*n - 0*n. What is the remainder when 8 is divided by n?
3
Let p = -249 - -364. Suppose -j - 3*z = -34, 9 = -2*j - z + 6*z. What is the remainder when p is divided by j?
11
Let j = -13774 + 16036. Calculate the remainder when j is divided by 28.
22
Suppose 7*n = -5*z + 4*n + 115, 46 = 2*z - 2*n. Calculate the remainder when (-2 + (-152)/14)/(16*31/(-3472)) is divided by z.
21
Suppose -8*v + 6*v - v + 1734 = 0. Calculate the remainder when v is divided by 19.
8
Suppose 7*k - 4*k = 21. Let u(z) = z**2 - 18*z + 68. Let g be u(8). Calculate the remainder when 42/(-35)*(2 + g) is divided by k.
5
Let i(p) = 3*p - 9. Suppose -d + 5 + 20 = -2*f, 4*d + 2*f - 140 = 0. Let m = d + -1. Calculate the remainder when m is divided by i(9).
14
Suppose 10*r - 3 - 7 = 0. Let x be r*5 + (-4 - 22). Let y(z) = -z - 12. Calculate the remainder when 32 is divided by y(x).
5
Let k(v) = v**3 - 19*v**2 - 17*v - 47. Let q be k(20). Suppose -7*c = -q*c + 168. Let i = 218 + -135. Calculate the remainder when i is divided by c.
27
Suppose 10*p - 238 = 6*p - 5*r, 2*p = -2*r + 116. What is the remainder when 995 is divided by p?
7
Suppose -44*r + 221 + 2243 = 0. Calculate the remainder when 1470 is divided by r.
14
What is the remainder when 1740 is divided by (1/2 + 5/2)*(310 + -119)?
21
Let f = -23 + 37. Let o = 193 + 150. Let p = o + -302. Calculate the remainder when p is divided by f.
13
Suppose 8*f - 331 - 117 = 0. Suppose 0 = -2*u + 4*x + f, x = u - 3*x - 36. Calculate the remainder when 257 is divided by u.
17
What is the remainder when 30131 is divided by (-5)/(3 + 1328/(-416))?
23
What is the remainder when ((-3 - -2)*2)/(-1) + (12887 - 2) is divided by 293?
288
Let u(m) = 34*m**2 - 269*m - 5. Let t be 1/(-4) - (-21)/(-28). Calculate the remainder when u(8) is divided by 2 - (t/1 - 2).
4
Let c(m) = -m**2 - 21*m - 46. Let a be c(-18). Suppose 1242 = a*f - 1614. Calculate the remainder when f is divided by 36.
33
Let n = -33 - -47. Let s = -49 + n. Let w = -13 - s. What is the remainder when w is divided by 8?
6
Let n = -211 - -214. Suppose 134 = 3*k + n*d - 4*d, d + 5 = 0. What is the remainder when k is divided by -3 + ((-22)/(-1) - 3)?
11
Let k(l) = -l**3 + 10*l**2 - 144*l + 617. Suppose 5*c - 4*h = -2*h + 737, h - 4 = 0. What is the remainder when c is divided by k(5)?
17
Let o(f) = 66*f + 1153. Calculate the remainder when 309 is divided by o(-17).
30
Let t(m) = -5*m - 2. Suppose 520*b - 495*b - 375 = 0. What is the remainder when t(-10) is divided by b?
3
Let m(f) = -10*f - 28. Let r(o) = 3*o + 10. Let k(h) = -4*m(h) - 11*r(h). What is the remainder when k(5) is divided by 20?
17
Let r = 153 - 138. Suppose r*z - 78 = 477. What is the remainder when 221 is divided by z?
36
Let v = -8758 - -9539. Calculate the remainder when 794 is divided by v.
13
Let m be 21/24 - ((-15)/(-8) + -2). What is the remainder when (1674/24)/m + (-1)/(-4) is divided by 11?
4
Let w(o) be the second derivative of 5*o**4/4 + 3*o**2/2 - 10*o. Let y be w(-2). What is the remainder when 1467/y - 2/7 is divided by 13?
10
Let p = -4057 + 4714. Calculate the remainder when 710 is divided by p.
53
Suppose 0*c = 4*c - 156. Let q = -2145 - -2338. What is the remainder when q is divided by c?
37
Suppose 3*h + 0 = -6, -4*z + 58 = -5*h. Let p(u) = 2*u**2 - 5*u - 22. Suppose -20*b + 72 = -12*b. Calculate the remainder when p(b) is divided by z.
11
Suppose -7*u + s - 520 = -2*u, -u - 4*s - 125 = 0. What is the remainder when (-219)/((u/20)/7) is divided by 59?
56
Suppose -159*r = -158*r - 5*a - 64, -2*r + 2*a = -128. What is the remainder when 227 is divided by r?
35
Let r(u) = -52*u - 6. Let t(o) = -18*o - 2. Let w(z) = -5*r(z) + 14*t(z). Let p = 0 - -2. What is the remainder when 197 is divided by w(p)?
17
Suppose -z + 181 = 5*x - 15, -3*x - 4*z + 104 = 0. What is th