der when (-2 + 45)/(578/187 + -3) is divided by 232.
9
Suppose -2*l + 3*i = 7*i - 32, 4*l = 4*i + 124. Let y(g) = -4*g**2 - 360*g + 1927. What is the remainder when y(-95) is divided by l?
1
Suppose 964 = 17*t - 192. Suppose -3 = -3*q - 9, t = 5*j - 4*q. What is the remainder when j is divided by 3 + (-2 - (2 + -9))?
4
Let q(u) = -663*u + 14. Let x be q(-2). Suppose b - 6*b - 5*s = -x, 3*b - 796 = -s. Calculate the remainder when b is divided by 38.
36
Let a be (-54)/15*(-150)/45. Suppose -54 = -3*v - 2*h, 24 = 2*v + 3*h - a. Calculate the remainder when 123 is divided by v.
15
Let z(u) = 8*u**2 - 36*u - 35. What is the remainder when z(-8) is divided by 78?
63
Suppose 0 = 5*p - 5*k - 140, -2*p = -46*k + 43*k - 52. What is the remainder when 7356 is divided by p?
28
Let d(p) = -p**3 - 6*p**2 - 17*p - 319. Calculate the remainder when d(-10) is divided by 29.
19
Suppose w + 2319 = y + 300, 5*w = -3*y + 6097. What is the remainder when y is divided by 1006?
12
Let b = 4 - 4. Let p be (-1696)/(-6) + (-10)/15. Suppose b = -5*d + 28 + p. Calculate the remainder when d is divided by 32.
30
Suppose 5*m - 48 = 9*m + 4*o, -2*o + 48 = -4*m. What is the remainder when 87 is divided by (-10 - -6) + (0 - -3 - m)?
10
Suppose 745 = -5*f + 215. Let n = -71 - f. What is the remainder when 125 is divided by n?
20
Let f = 9418 - 9119. Calculate the remainder when f is divided by 116.
67
Suppose 4*m + 8 + 40 = 2*r, -16 = 4*m. What is the remainder when 4/(-32)*-4*10 - -88 is divided by r?
13
Suppose -5*p - 938 = -6518. What is the remainder when p is divided by 26?
24
Let k(l) = -l**2 + 6*l + 48. Let c(b) = -4*b**2 + 19*b + 144. Let t(y) = -6*c(y) + 17*k(y). What is the remainder when 150 is divided by t(-3)?
48
Suppose -2*y + 5*y - 9 = 0. Suppose 9 = 6*f - y. Suppose 2*q + 18 + 14 = 3*k, -k = -f*q - 16. What is the remainder when 21 is divided by k?
5
Let v = -128 + 267. Let g = -138 + v. Calculate the remainder when 33 + (-6 - (-5)/g) is divided by 3.
2
Suppose b + 2*s + 245 = 0, s + 244 + 6 = -b. Let z = b + 296. What is the remainder when z is divided by 26?
15
Let m(r) = r**3 + 8*r**2 - 12*r - 33. Let n = -217 + 209. What is the remainder when m(n) is divided by 18?
9
Let t(x) = x + 16. Let l be -4 + (-2 - -3 - 5). Let m be t(l). Let h = 20 + m. What is the remainder when 54 is divided by h?
26
Let q = 1208 + -12. Calculate the remainder when (-2)/9 - q/(-36) is divided by 344/(-1548) + 94/18.
3
Suppose 19714 - 476 = 128*q + 1958. Calculate the remainder when 153 is divided by q.
18
Let l = -94 - -100. Suppose 934 - 412 = 6*w. What is the remainder when w is divided by l?
3
Suppose -3*m + 18 = -0*s - 3*s, -12 = -5*m - 4*s. Suppose 5*y - 388 = m*h, -3*y - 3*h + 144 = -78. What is the remainder when y is divided by 65?
11
Let d(m) = -m**2 + m + 97. Let z be d(0). Suppose 0 = -j + 2*u + 4, -5*j - 6*u = -7*u - 47. Suppose 3*o + j = z. What is the remainder when o is divided by 15?
14
Let g(h) = -2*h**3 - 3*h**2 + 25*h + 244. Calculate the remainder when g(-22) is divided by 13.
12
Let h be (708/(-24))/(2/(-8)). Let a = h + -116. What is the remainder when 24 is divided by a?
0
Let x be 4/(-5) - (-1278)/(-15). Let m = 300 - x. Calculate the remainder when m is divided by 65.
61
Suppose z - 244 = -25*k + 28*k, 4*z = -3*k + 1021. Let v = -182 + z. What is the remainder when v is divided by 27?
17
Suppose -1456 = -14*n + n. What is the remainder when n is divided by 56?
0
Suppose 0 = -4*x - x + 115. Let v(r) = r**2 - 49*r + 607. Calculate the remainder when v(32) is divided by x.
17
Suppose -m - 21 = -c, -m - 70 = -5*c - 3*m. Suppose -c*o = -170 - 390. What is the remainder when o is divided by 13?
9
Let r = 274 - 300. Suppose -3*l = -47 - 40. Let i = l + r. Calculate the remainder when 5 is divided by i.
2
Suppose 5*t = 2*l + 7, 5*l + 30 = -3*t + 59. Calculate the remainder when 319 is divided by (l/(-7))/((-6)/147 - 0).
11
Suppose -102*c - 36 = -111*c. Suppose c*t = -9*q + 8*q + 36, 3*t + 4*q - 40 = 0. What is the remainder when t is divided by 5?
3
Suppose -4*i + i = -3*j - 894, -3*j + 2*i - 891 = 0. Let d = j - -318. Calculate the remainder when 108 is divided by d.
16
Suppose u - 2*h = -0*h + 9, -5*u = 4*h + 11. Suppose -2*z + u + 7 = 0. Calculate the remainder when -24*(-1 + z/(-6)) is divided by 15.
10
Let b = -243 - -351. Suppose 5*m = b + 57. Calculate the remainder when m is divided by (-20)/(-600)*-18 - 38/(-5).
5
Suppose -2*v + 3*v - 3*k + 7 = 0, 5*k - 33 = -v. Suppose -81*g + 54*g + 999 = 0. Calculate the remainder when g is divided by v.
5
Suppose -217*b + 47304 = -55*b. What is the remainder when b is divided by 94?
10
Suppose 0 = -12*n - 93 - 75. Let l(h) = 2*h**2 + 23*h - 17. Suppose -2*f - 1 = -39. What is the remainder when l(n) is divided by f?
15
Suppose 3 = -0*g - g, 0 = 5*a + 3*g - 1571. Suppose 0*t + 48 = t - 4*w, 5*t - w = a. Let b = t - 17. What is the remainder when b is divided by 12?
11
Let f = -12 - -15. Suppose -g = 4*y - 65, g - f*y = -y + 41. Calculate the remainder when 1149/12 + 4/16 is divided by g.
47
Suppose -36*b + 474 = -34*b + h, 3*b = -4*h + 696. Suppose 7*f - 33 = 4*f. Calculate the remainder when (f/(-3))/((-10)/b) is divided by 31.
26
Let p = -18 + 84. Suppose -27*o + 24*o + p = 0. What is the remainder when o is divided by 21?
1
Suppose 0 = -l + 2, 37*l - 39*l - 281 = -3*j. Calculate the remainder when 389 is divided by j.
9
Suppose 0 = -7*o - 48*o - 58*o + 230972. Calculate the remainder when o is divided by 84.
28
Let v = 41 + -36. Suppose -182 = -v*j - 2*j. What is the remainder when 98 is divided by j?
20
Suppose 4*w - 696 = 4*b, 239*b + 332 = 2*w + 238*b. Suppose g - 4*r - 18 = 6, -3*r = 0. Calculate the remainder when w is divided by g.
14
Let s = -4514 + 4652. Calculate the remainder when 1100 is divided by s.
134
Suppose -129*d + 1980 = -30*d. What is the remainder when d is divided by 16?
4
Suppose 2*r + 6 = 0, q = 2*q + r. Suppose -q*d - 3*d = -66. Calculate the remainder when 65 is divided by d.
10
Suppose -7*d + 104 = 34. Suppose 18*w - 24*w + 828 = 0. What is the remainder when w is divided by d?
8
Suppose -56*g + 580 + 765 + 335 = 0. Calculate the remainder when 135 is divided by g.
15
Let t(w) = 1651*w - 4449. What is the remainder when t(3) is divided by 86?
74
Suppose -3*d + 2*z + 14 = d, 0 = -4*d - z + 5. Let g(u) = -2*u**2 - 4 - 5*u - 1 + d*u**2 + 7*u**2. Calculate the remainder when g(-2) is divided by 7.
5
Suppose f - 19*f = -6912. Suppose -8*c - 32 = -f. Calculate the remainder when c is divided by 15.
14
Suppose -j - 13 = -17. Let r be 5*(2 - (-5)/(-25)). What is the remainder when ((2 - j) + 5)/(r/159) is divided by 9?
8
Let h = 3221 - 2237. Suppose 0 = -7*m + 15*m - h. What is the remainder when m is divided by 18?
15
Let n = -24731 + 27987. What is the remainder when n is divided by 19?
7
Let k(z) = 11*z**2 - 116*z - 45. Calculate the remainder when 15758 is divided by k(11).
8
Let n(y) = 5*y + 28. Calculate the remainder when 744 is divided by n(16).
96
Suppose m + 347 = 4*x, 3*x - 261 = -30*m + 31*m. Calculate the remainder when x is divided by 15.
11
Let x be (18/27)/((-3)/(-99)). Suppose 5*c = -q - q + 59, q - 5*c - x = 0. What is the remainder when (-4)/(-18) + 399/q is divided by 8?
7
Let m be (10/3)/((-1)/(2 - -1)). Let a = m - 60. Let p = 86 + a. What is the remainder when 31 is divided by p?
15
Let g = 3327 - 3214. What is the remainder when 440 is divided by g?
101
Suppose 30*t = 271*t - 403193. Calculate the remainder when 1681 is divided by t.
8
Let i = 85 + 6. Let j = 93 - i. Let w(d) = 45*d + 6. Calculate the remainder when w(j) is divided by 14.
12
Let o(w) = -23*w**3 + 16*w**2 + 13*w + 5. Calculate the remainder when o(-4) is divided by 840.
1
Suppose -5*u + 5*t + 30 = 0, -5 = 3*u - 5*t - 31. Suppose -u*g = 27*g - 145. What is the remainder when 39 is divided by g?
4
Suppose -f + 31836 = 11*f + 16*f. Calculate the remainder when f is divided by 106.
77
Suppose -148*v + 159*v = 462. What is the remainder when 5585 is divided by v?
41
Let p(s) = 17*s**2 + 800*s + 55. Calculate the remainder when 14 is divided by p(-47).
6
Suppose 23*f = 22*f - 3*g + 13651, -5*f = 4*g - 68156. Calculate the remainder when f is divided by 6.
4
Suppose 28*s - 32*s = -1804. Suppose -6*p = -5*c - 3