(-21)/7)/((18/16)/(-3)). Suppose 39*t - f = 38*t. What is the remainder when 73 is divided by k(t)?
16
Suppose 0 = -4*b + 20, -4*x - 23 = 4*b + 37. Calculate the remainder when 52 is divided by x/((48/9)/(-8)).
22
Suppose -50 = -0*n - n - h, 0 = 5*h - 15. Let t = n - 9. Let f = -6 + 19. Calculate the remainder when t is divided by f.
12
Let o(y) = 11*y**2 - 222*y - 1633. Calculate the remainder when 1384 is divided by o(-7).
4
Let x(f) = f + 1. Let h be x(4). Suppose 0 = -2*n, -n - 82 + 2 = -h*k. What is the remainder when 40 is divided by k?
8
Let m(h) = -80*h - 1515. Calculate the remainder when 8157 is divided by m(-20).
82
Suppose -501 = 2*i + 5*s, 4*i + 972 = -0*s - 4*s. Let l = 276 + i. Calculate the remainder when 75 is divided by l.
37
Suppose 11*b = 16*b + 185. Let w = b + 47. Let v = -78 - -115. What is the remainder when v is divided by w?
7
Suppose -5*x = -2*n + 12 + 23, 5*n - 25 = 0. Let k(w) = -8*w - 9. Calculate the remainder when k(-4) is divided by 5/(-25) + (-61)/x.
11
Let s = 2049 - 1939. Let j be 528/(-5) + (-4)/10. Let q = j + s. What is the remainder when 9 is divided by q?
1
Suppose 44*c = 67*c - 1702. Calculate the remainder when 350 is divided by c.
54
Suppose 0 = -y - c + 58, -2*y + 3*c + 124 = -17. Calculate the remainder when 161 is divided by (7/(y/246))/(40/60).
38
Suppose 3*q - 79 = 3*g - 946, q = 4*g - 280. Let f = -249 - q. Calculate the remainder when f is divided by 22.
21
Let d = -4147 - -4240. Calculate the remainder when 835 is divided by d.
91
Calculate the remainder when 59169/(-489)*(-3)/1 is divided by 14.
13
Suppose -2*o = -r - 40, -3*r = 4*o - 21 - 69. Let m = 45 - o. Let g = m + -13. What is the remainder when 64 is divided by g?
9
Let j = 746 - 556. Calculate the remainder when j is divided by 62.
4
Let i be (70/6)/((-39)/(-117)). Suppose -h = -i - 0. What is the remainder when h is divided by (-3 - -2)/((-2)/26)?
9
Let k(w) = -5*w + 7 + 11*w - 11. Let x be k(1). Suppose x*h - 17 = 31. What is the remainder when 70 is divided by h?
22
Let q = 105 + -72. Suppose 0 = -2*p - y + q, 4*p - 2*y + y = 51. Calculate the remainder when 82 is divided by p.
12
Let f(q) = 3*q**2 + 103*q + 49. Let i be 27/18 - (-14)/(-4). What is the remainder when 1 - (i - (81 - -2)) is divided by f(-34)?
11
Let x = 1832 - 1528. Calculate the remainder when x is divided by 116.
72
Suppose -28*n - 36073 = -36605. Suppose 201 = 4*u + 3*s, 4*u - 2*s = 25 + 181. What is the remainder when u is divided by n?
13
Suppose 572 = -610*d + 632*d. Let k = 66 - 60. Calculate the remainder when d is divided by k.
2
Let h be 4/7 - 8871/(-21). Suppose 0 = -3*y - 6*y + h. Calculate the remainder when y is divided by 12.
11
Suppose 14 = 2*t + 2. Suppose 4*a - 6*a = 0. Suppose -r = -v - a*r + 16, -5*v + 4*r + 81 = 0. What is the remainder when v is divided by t?
5
Let h = 80880 + -80871. Let n(u) = -3*u - 3. What is the remainder when h is divided by n(-2)?
0
Let h(i) = -4*i**2 + 15*i + 9. Let d(u) = u**2 - u. Let s(n) = 3*d(n) + h(n). What is the remainder when 377 is divided by s(12)?
8
Suppose -2*x + 96 = -0*x. Let j = -36 - x. Let c = 122 + j. Calculate the remainder when c is divided by 16.
6
Suppose 5*t - 5*b = -131 + 1126, -3*t - b = -577. Let m = t - 181. Suppose -3*p + o + 4 = -3, 5*p = 3*o + 9. What is the remainder when m is divided by p?
1
Suppose 0*r - 214 = r + 3*b, 2*r + 438 = -b. Let o be (r/(-40))/((-2)/28). Let s = o + 93. What is the remainder when s is divided by 7?
2
Suppose -3*b - 4*n = -8, -7*b - 4*n = -2*b - 24. Suppose -u - 14*u + 2115 = -0*u. What is the remainder when u is divided by b?
5
Let s = 19 - -3. Suppose 6*d = 4*d + s. Suppose -1314*q + 4239 = -1017. What is the remainder when d is divided by q?
3
Suppose 4*c - 1 - 371 = 0. Suppose 273 = 11*l + 64. Suppose 3*z = n - l + 7, 5*n = 5*z + 60. What is the remainder when c is divided by n?
9
Suppose 4*o - 5 = 51. Let l(f) = -f**3 - f**2 - 6*f + 54. What is the remainder when l(0) is divided by o?
12
Suppose 5*q - 40 = 2*s, 4*s - 20 - 40 = -4*q. Suppose 2*k - 3871 = -5*t, -1 = 4*t - 21. Let d = -1868 + k. What is the remainder when d is divided by q?
5
Let p(z) = 2*z**3 - 27*z**2 + 61*z - 32. Calculate the remainder when 38 is divided by p(11).
4
Suppose -23 = -4*v + 3*z + 25, 2*v - 24 = z. Suppose -8*u + 196 = -v*u. Let q = -33 - u. What is the remainder when 62 is divided by q?
14
Let s(u) = u**2 - 12*u. Suppose 4 = -q + 5*f - 7, 0 = 3*q + 3*f - 21. Suppose -10 = q*n + 38. Calculate the remainder when s(n) is divided by 29.
27
Suppose -10*y - 24 = -16*y. Suppose y*d - 100 = 7*r - 11*r, -2*d = -8. Calculate the remainder when 3*((-200)/(-6) + 1) is divided by r.
19
Let u(m) = 34*m**2 + 12*m + 14. What is the remainder when u(-2) is divided by 8?
6
Suppose 606 = 10*s + 45*s - 274. Calculate the remainder when s is divided by (30/(-4))/(2/(-4)).
1
Let u be (-4 - 10/(-1)) + -3 - -2. What is the remainder when 45 is divided by ((-1)/(u/(-5)))/((-2)/(-18))?
0
Let c(t) = -t**2 + 14*t - 3. Let v be (3*4/(-7))/((-72)/252). Let j be (-3 + (-51)/(-15))/(v/150). What is the remainder when c(j) is divided by 13?
11
Suppose 27*i - 86 = -17*i + 3214. Calculate the remainder when i is divided by 43.
32
Let f be ((-14)/6)/7 + 1/3. Suppose 2*d + 10 = 0, o - d - 5 = -f*d. Suppose a - 7*a + 48 = o. What is the remainder when 13 is divided by a?
5
Let v(y) be the first derivative of y**3/3 - 3*y**2/2 - 11*y + 3. What is the remainder when v(-8) is divided by -5*((-264)/40 + -3 - -7)?
12
Suppose -1066*p - 6572 = -1128*p. What is the remainder when p is divided by 15?
1
Let q be 66/(-165) + (-497)/(-5). Suppose -k + q = -5*n + 7, -2*k + n = -193. What is the remainder when k is divided by 52?
45
Let u = -12 + 28. Let o(a) = -a**2 + 13*a - 32. Let k(v) = -v. Let i(n) = -k(n) - o(n). Calculate the remainder when i(13) is divided by u.
13
Suppose 54*m + 25839 = 83*m. Calculate the remainder when m is divided by 89.
1
Suppose -6*p + 4*n + 45 = -3*p, 2*n = p - 15. Suppose 533*y - 4292 = 496*y. Calculate the remainder when y is divided by p.
11
Let u(y) = -3*y**3 - 35*y**2 - 24*y + 17. What is the remainder when 185 is divided by u(-11)?
29
Let s = 66 - 68. Let y be s + (-762)/(-27) - 2/9. Suppose -3*x + 147 = 5*r, -r = 2*x + 2*x - y. Calculate the remainder when r is divided by 11.
8
Let p(x) = 18*x**2 - x - 24. Calculate the remainder when p(-4) is divided by (-400)/(-14) + 1290/903.
28
Suppose 6*x = -5*i + x + 85, -3*x = -2*i + 9. Suppose 5*y + 228 = 3*b, 4*b + 2*y - 229 - 101 = 0. What is the remainder when 27/(-3) + 8 + b is divided by i?
8
Let v = 132 + 4. Let j = -131 + v. What is the remainder when 6 is divided by j?
1
Let c = -209614 - -209655. What is the remainder when c is divided by (1/(-3))/(1/(-69))?
18
Suppose -4*j + 73 = -15. Let o = j - 20. What is the remainder when (-22)/(-4) - (-2)/4 is divided by o?
0
Let p(g) be the third derivative of g**5/60 + 11*g**4/8 + 57*g**3/2 - 12*g**2 + 10*g. What is the remainder when p(-32) is divided by 16?
11
Let h(y) = y**3 - 15*y**2 - 6*y + 134. What is the remainder when h(16) is divided by 74?
72
Let i = -4463 + 4518. Calculate the remainder when 274 is divided by i.
54
Let m(b) = 166*b - 2555. What is the remainder when m(23) is divided by 67?
57
Suppose 3*z = 5*g + 121, -118 = -4*z + 11*g - 13*g. What is the remainder when 314 is divided by z?
26
Suppose 23652 = 138*q - 102*q. Calculate the remainder when q is divided by 179.
120
Let u = 99 + -21. What is the remainder when 7/(((-5)/6)/(-5)) is divided by u/8 - (-9)/(-12)?
6
Suppose -2*h = 2*h - 376. Let p = 91097 - 91081. What is the remainder when h is divided by p?
14
Let k(u) = -35 - 8*u**2 + 10*u**2 - 3*u**2 + 15*u - u. Let y be k(14). Let p = y - -46. Calculate the remainder when p is divided by 4.
3
Suppose 5*z + 5 = 0, 2299*l - 2791 = 2294*l + z. What is the remainder when l is divided by 16?
14
Suppose -95*q + 96*q - 220 = -74. Calculate the remainder when 439 is divided by q.
1
Suppose 13118 = 46*p - 728. What is the remainder when p is divided by 254?
47
Let u(k) = 131*k - 18. Calculate the remainder when u(3) is divided by 36.
15
Let r = 151 + -61. Suppose -r = -4*n - 11*n. Calculate the remainder when n is divided by 2.
0
Suppose 4*x = 3*x + 2*j + 25, 5*x = -4*j + 139