 (-39566)/(-657).
55
Suppose 4 = -o - 0*o, 4*i + 5*o = -60. What is the remainder when ((-114)/i + 1)/(17/765) is divided by 16?
14
Let i = -183 + 185. Suppose 0*a + i*m + 27 = 5*a, 4*m = -4. What is the remainder when 18 is divided by a?
3
Suppose 0 = 322*n - 156*n - 136*n - 587760. What is the remainder when n is divided by 311?
310
Suppose 103*f - 110266 = 91305. Calculate the remainder when f is divided by 31.
4
Let z = 176 - 174. Suppose 32 = 5*t - 3*d + 4*d, z*t + 3*d = 18. Calculate the remainder when 29 is divided by t.
5
Let h be -4 - (-2 + -1) - 12. Let v(y) = -y**2 - 16*y + 24. Let j be v(h). Let o = 179 - j. What is the remainder when o is divided by 17?
14
Let g be (-48)/(-56)*14/3 - -3. Let z = g - 6. What is the remainder when 70 is divided by z/(2 + 175/(-90))?
16
Suppose 44 = t - 0*t - 2*j, 5*j + 56 = t. Suppose 11*w - 32 - 45 = 0. Calculate the remainder when t is divided by w.
1
Suppose -25*f - 8*f - 10*f + 6407 = 0. Suppose -5*l + 61 = 4*b, l + 1 = 2. Calculate the remainder when f is divided by b.
9
Let r(v) = v**3 + 38*v**2 - 19*v + 491. Calculate the remainder when r(-37) is divided by 45.
43
Let s(k) = 345*k**2 - 2*k + 1. Suppose 0 = -220*q - 359*q + 203*q + 5640. What is the remainder when s(1) is divided by q?
14
Suppose 2*r = 6*r - 36. Suppose 15*a - a - 490 = 0. What is the remainder when a is divided by r?
8
Calculate the remainder when 265 is divided by ((-15225)/(-1740))/(5/84 - 0).
118
Suppose a - 1502 = -177 - 68. Calculate the remainder when a is divided by 92.
61
Let h(x) = -x**2 + 5*x + 7. Let b be h(5). Let v(u) = u**2 - 3*u - 6. Calculate the remainder when ((-14)/21)/(2/(-258)) is divided by v(b).
20
Let z be 1 + (-154 - 2)/(-6). What is the remainder when (-3)/(-3 - (-111)/38) is divided by 2*3 + -5 + z/3?
8
Let f = 22 - -16. Let d(c) be the third derivative of -c**4/8 + 17*c**3/6 + 9*c**2 + 3*c. What is the remainder when f is divided by d(-2)?
15
Let x = -35 - -26. Suppose 3*u - 2*d - 28 = 0, 2*d = 17*u - 20*u + 20. Calculate the remainder when x/18 - 43/(-2) is divided by u.
5
Suppose -19*k + 21*k = -a + 1224, 3*k + a = 1839. What is the remainder when k is divided by 113?
50
Let n(y) = -y + 35. Let w be n(28). Suppose 22 = w*b - 34. Calculate the remainder when 108 is divided by b.
4
Let d be (-24)/16 + 452/8. Suppose d*l = 62*l - 406. What is the remainder when l is divided by 33?
25
Suppose 7666 - 5962 = 12*y. Calculate the remainder when 722 is divided by y.
12
Suppose 4*f + 20 = i, 4*i = -f + 6*f + 80. Suppose -58 = -13*o + i. Suppose -a - o = -18. Calculate the remainder when 44 is divided by a.
8
Suppose -23*a + 27 = -18*a + 3*q, -11 = -2*a - q. What is the remainder when (a/(-12))/((-5724)/(-1432) + -4) is divided by 47?
38
Suppose 0 = 46*q - 862 - 555 - 2769. Calculate the remainder when 135 is divided by q.
44
Suppose 27 = 2*c + 3*z - 10, z + 6 = c. Let a(u) = 14*u - 143. Calculate the remainder when 74 is divided by a(c).
8
Suppose 0 + 9 = l. Suppose -2257*d - 19932 = -2389*d. Calculate the remainder when d is divided by l.
7
Let p be (-225)/50*(-1 + 3). Calculate the remainder when p/(-54)*6*17 is divided by 6.
5
Suppose -10*c + 3 - 13 = 0. Calculate the remainder when 60 is divided by (-1*1)/(15/270*c).
6
Suppose 2*t - 6*t - 432 = 0. Let u = 167 + t. What is the remainder when u is divided by 17?
8
Let t = 6 + 6. Suppose 2*y - 7*y + 46 = -2*w, w + 4*y + 10 = 0. What is the remainder when -4 - -4 - (w - -2) is divided by t?
4
Let c(v) = 35 + 11*v - 5*v - 3*v + 55 + 10*v. Calculate the remainder when 190 is divided by c(-6).
10
Suppose u + 37*u - 3*u = 3780. Calculate the remainder when 321 is divided by u.
105
Suppose 0 = -5*j - 4*t + 866, -2*j - 8*t = -4*t - 356. What is the remainder when 689 is divided by j?
9
Suppose 0 = -4*g - 0*g + 80. Calculate the remainder when 1288/2093 + (-421)/(-13) is divided by g.
13
Let i(m) = 2*m + 26. Let g be i(-6). Calculate the remainder when 249 is divided by g/(-77) - (-1390)/22.
60
Suppose 18*r - 23*r + 270 = 0. What is the remainder when 180 is divided by r?
18
Let i(o) = 2*o**3 + 9*o**2 - 14*o - 45. Let w be i(-5). Suppose w = 15*m - 614 + 209. Let l(j) = 19*j. Calculate the remainder when l(7) is divided by m.
25
Let k(x) = 51*x**2 - 3*x + 5. Let a be k(1). What is the remainder when 105 is divided by (-18)/9 - (2 - a)?
7
Let g = 19094 - 19049. What is the remainder when 314 is divided by g?
44
Let k = -39874 + 40368. What is the remainder when 997 is divided by k?
9
Suppose 418*b = 406*b + 828. Calculate the remainder when 2963 is divided by b.
65
Suppose 0 = -5*b + 5*w, -12 = 9*b - 11*b - 4*w. Suppose 0 = 2*s + 10, -2*c + 4*s + 164 = b*s. What is the remainder when c is divided by 32?
13
Suppose -3*f = 4*f - 21. Suppose 0 = 2*y - f*s - s - 26, 0 = 4*y - s - 24. What is the remainder when y is divided by (-6)/15 + (-3 - 168/(-20))?
0
Suppose 2*a - 55*a = 8*a - 13176. What is the remainder when 535 is divided by a?
103
Suppose -4*r - 5*r + 33495 = 46*r. Calculate the remainder when 626 is divided by r.
17
Suppose -a + f + 11 = 0, 2*f = a + 9 - 23. What is the remainder when 524 is divided by a?
4
Let t(p) = p**3 - 36*p**2 - 3040*p + 35. Calculate the remainder when 1710 is divided by t(76).
30
Let m(g) = -g**3 + 17*g**2 - 15*g - 13. Let i be m(16). Suppose 5*z + 45 = -4*q - q, 0 = -i*z + 3. What is the remainder when 107 is divided by (8/20 - 86/q)*3?
26
Let z = 777 - -81. What is the remainder when z is divided by 20?
18
Calculate the remainder when 5168 is divided by (-1312)/(-13120) - (1 - (-459)/(-10)).
38
Suppose -z - 4*z - 5*y = -455, -z + y = -101. Suppose -156 = -7*n + z. Let j(d) = -19*d - 6. Calculate the remainder when j(-4) is divided by n.
34
Let t = 445 + 461. Let i = t - 621. What is the remainder when i is divided by 7?
5
Let r be ((-220)/(-30))/((-8)/228). Let c = -113 - r. What is the remainder when c is divided by 11?
8
Let u(z) = 6*z + 35. Let h be u(10). Let y = h + -83. Suppose -k - 2*b + 52 = 0, 2*b - 6*b - y = 0. What is the remainder when k is divided by 20?
18
Suppose 100 = 5*c - 5*a, 43*a + 84 = 3*c + 38*a. Suppose -2*r + 1716 = -4*j, -4320 = -r - 4*r - 5*j. Calculate the remainder when r is divided by c.
6
Let w(t) be the second derivative of -14*t**2 + 0 + 4/3*t**3 + 18*t. Calculate the remainder when w(13) is divided by 27.
22
Let p(b) be the first derivative of -6*b**2 + 17. Let c be p(3). Let x = c - -69. What is the remainder when x is divided by 6?
3
Let g(l) = 2*l**3 + 32*l**2 + 21*l - 29. What is the remainder when 318 is divided by g(-15)?
0
Let a be 4668/9*(-51)/(-68). Let c = 593 - a. What is the remainder when c is divided by 15?
9
Let q = -9 - -13. Let d = 2133 + -2128. Suppose c - 68 = q*k, 0 = -d*c + k + 3*k + 260. What is the remainder when c is divided by 26?
22
Let x = 15798 - 15686. What is the remainder when 2463 is divided by x?
111
Let f(y) = -2*y**2 + 25*y - 62. Let b be f(17). Let v = -146 - b. What is the remainder when v is divided by 14?
13
Let i = -94 - -95. Let x be (1 - 1) + -5 - i. What is the remainder when 30 is divided by (2 - 0)*(120/x)/(-5)?
6
Suppose 0 = -q - 5, -981 = 6*h - 9*h + 3*q. What is the remainder when h is divided by 68?
50
Let y = 213 + -195. Calculate the remainder when 27717 is divided by y.
15
Let j(g) = -g**3 - 9*g**2 + 35*g - 10. Let w be j(-12). Suppose 9*o - 696 = -5*p + 5*o, w*p + 3*o = 277. Calculate the remainder when p is divided by 32.
12
Let d(q) = -7*q**3 - 10*q**2 - 24*q - 37. Calculate the remainder when d(-6) is divided by 7.
6
Let h(a) = 49*a**2 + 40*a + 22. Calculate the remainder when h(-3) is divided by 43.
42
Suppose -4*f + 4*r + 96 = 0, -r + 2 = -2. Let z = -6211 + 6490. Calculate the remainder when z is divided by f.
27
Suppose 180 = -57*k + 47*k. Let y(i) = -2*i + 3. Calculate the remainder when 4/(-16)*-8 - k is divided by y(-4).
9
Let a = 17 - 36. Let l be (3 + a/5)/((-2)/(-5)). Let u(h) = -29*h - 1. What is the remainder when u(l) is divided by 30?
27
Let w(o) = o**2 + 321*o + 1029. Suppose -4*b - 2*u = -0*u - 6, b = 4*u + 15. Suppose -b*x + 53 - 14 = 0. Calculate the remainder when w(-318) is divided by x.
10
Let t(x) = 3*x**3 - 304*x**2 - 199*x - 234. Calculate the remainder when t(102) is divided by 268.
8
Let m(d) be the second derivat