6. Suppose 0 = 5*f - 2*b - 20, 5*f + 7*b = 2*b - 15. Suppose -i + w = f*i. What is the remainder when 69 is divided by i?
15
Suppose -4*n - g + 11932 = 0, -4*g + 6*g = -5*n + 14918. Calculate the remainder when n is divided by 19.
18
Let u = 215 - 216. Let a = 224 + u. What is the remainder when a is divided by 8?
7
What is the remainder when 479 is divided by (-9*1/2)/((-18)/(-3564)*-9)?
83
Let l(u) = -u**3 - 93*u**2 - 177*u + 529. What is the remainder when 104 is divided by l(-91)?
30
Let r = -546 + 598. Let b(s) = -s**3 - 5*s**2 + 3*s + 4. Let x be b(-6). Suppose 2*f - x = r. Calculate the remainder when f is divided by 10.
7
Let y(b) = -2*b**2 + 48*b + 15. What is the remainder when 1828 is divided by y(24)?
13
Let t(j) = 93*j**2 - 10*j - 15. Let m(a) = 47*a**2 - 5*a - 7. Let s(v) = -7*m(v) + 4*t(v). Calculate the remainder when s(-2) is divided by 6.
3
Suppose -209 - 1168 = -792*f + 783*f. What is the remainder when 465 is divided by f?
6
Suppose 14*z - 9*z - 380 = 0. What is the remainder when z is divided by (-20 + 4 - -14)*(-21 - -1)?
36
Suppose 4*b + 0*b = -4*c + 512, 2*b = 2*c + 268. What is the remainder when b is divided by 123?
8
Let a(z) = 734*z + 8080. What is the remainder when -21*2/(6/(-7)) is divided by a(-11)?
1
Let s(n) = -27*n + 89. Suppose -3*l + 101 - 8 = 0. Calculate the remainder when s(-23) is divided by l.
28
Let t = -29 - -41. Let r be (-1)/(-2)*33/6*4. Let b(x) = -2*x + 44. Calculate the remainder when b(r) is divided by t.
10
Let y(z) = z**2 - 15*z + 29. Let d be y(13). Suppose d*u = u + 28. Let c(r) = 6*r**2. What is the remainder when c(2) is divided by u?
10
Suppose 0 = -5*b - 6 + 1. What is the remainder when b/(-4) + 1/(4/155) is divided by 6/(-33) + (-114)/(-22)?
4
Let j be (-2)/3 - (-822)/18. Let z = -26 + j. Suppose 3*t = 11*c - 13*c + 42, -5*t = 3*c - 68. Calculate the remainder when z is divided by t.
9
Suppose 0 + 209 = 96*x - 463. What is the remainder when 23 + 1 + 2*-1 is divided by x?
1
Suppose -314*x + 13422 + 394 = 0. Calculate the remainder when 839 is divided by x.
3
Suppose h - 18*i - 56 = 79, -4*h + 268 = -4*i. What is the remainder when 311 is divided by h?
59
Let l(k) = -4*k + 1. Suppose 17*w + 8*w - 20600 = 0. Suppose 0 = 17*j + 25 - w. What is the remainder when j is divided by l(-6)?
22
Let r(x) = -4*x**3 - 32*x**2 + 56*x + 469. Calculate the remainder when 1824 is divided by r(-8).
18
Let a(z) = z + 11. Suppose h - 4*p + 7 = 0, -2*h + 7*p = 3*p + 2. What is the remainder when (h/15)/((26/72)/13) is divided by a(-6)?
2
What is the remainder when ((-6 - -657)/(-7))/(1 + 30/(-25)) is divided by 39?
36
Let i(t) = -t**2 + 66*t - 858. Let x = 367 + -63. What is the remainder when x is divided by i(46)?
56
Suppose -2*x + 2*y - 5787 + 6143 = 0, x - 186 = 3*y. Calculate the remainder when 1563 is divided by x.
171
Let g = -20941 + 21067. Calculate the remainder when 1122 is divided by g.
114
Let g = -3007 + 3093. Calculate the remainder when 5414 is divided by g.
82
Let a(t) = 3*t - 27. Let r be a(22). Suppose 43*v = r*v + 20. What is the remainder when 8 is divided by v?
3
Suppose -84*j = -30*j - 53298. Calculate the remainder when j is divided by 122.
11
Let o(m) = -m**3 - 4*m**2 - 7*m - 7. Calculate the remainder when o(-4) is divided by 10.
1
Let h(f) = 9*f - 176. Let k be h(20). Suppose -5*z + 120 = 5*d, k*d - 124 + 18 = -2*z. Calculate the remainder when d is divided by 4.
1
Let l be (-6 - 11/(-2)) + (-57)/(-2). Suppose 5*o - 4*a = o + l, 0 = -5*o - 3*a + 11. Calculate the remainder when 6 is divided by 1/(-4) - (-21)/o.
1
Let s(y) = -19*y + 461. What is the remainder when 621 is divided by s(22)?
19
Calculate the remainder when (-1)/(-3) - (-1544)/12 is divided by (1/10)/((-1306)/(-861960)).
63
Suppose -o - 2*m = -73, 0 = 3*o - 6*m + 8*m - 195. Calculate the remainder when 416 is divided by o.
50
What is the remainder when (-2*(-794)/(-16) - 0)/(5/(-20)) is divided by 189?
19
Suppose 34 = 2*p - 2*u, 32 + 51 = 3*p + 5*u. What is the remainder when 86 is divided by p - 18/(-15)*-5?
11
Let y(t) be the second derivative of t**5/20 + t**4/6 - 13*t**3/3 + 3*t**2/2 - 60*t. What is the remainder when 78 is divided by y(5)?
30
Let f(l) = -l**3 - l**2 + 55. Let m be f(0). Suppose -m*o = -30*o - 12200. What is the remainder when o is divided by 14?
12
Suppose 3*b = 4*j + 153, 5*b - 151 = -2*j + 6*j. Let c be (-2)/(-11) + (-2724)/(-22). Let x = j + c. What is the remainder when x is divided by 11?
8
Suppose -27 = -2*i + 2*f + 3015, 2*f = -14. What is the remainder when i is divided by 20?
14
Suppose -4*i + 6 + 2 = 0. Suppose -5*b = -q + 8, -3*b - 7 - 9 = -i*q. What is the remainder when q is divided by 6?
2
Let x(o) be the first derivative of -o**3/3 + 5*o + 42. Suppose 6*j + 15 = p + 3*j, -4*p - 2*j - 10 = 0. Calculate the remainder when 14 is divided by x(p).
4
Let d = 119 - 93. Suppose -5*y = -o + 24, y + 2*y = o - d. Calculate the remainder when o is divided by 11.
7
Let v(o) = -2. Let k(q) = 3*q - 54. Let s(z) = -k(z) + 4*v(z). Suppose 9*g - 115 = 4*g. Calculate the remainder when g is divided by s(11).
10
Suppose s - 49 = 5*j, s + 2*s - 87 = 3*j. Let a = -2 + s. Let w(u) = u**2 - u - 7. What is the remainder when a is divided by w(5)?
9
Let v = 2462 - 1722. Let c = v - 215. Calculate the remainder when c is divided by 88.
85
Let m = 126 - 87. Let d = -10 + 13. Suppose 0 = -0*p + d*p - m. Calculate the remainder when p is divided by 8.
5
Let r = 290 + -290. Suppose -117*w + 115*w + 26 = r. What is the remainder when 142 is divided by w?
12
Calculate the remainder when 305 is divided by ((-12)/18)/((-48)/1080).
5
Suppose 5*a - 4*q = 6*a - 341, a + 2*q - 335 = 0. What is the remainder when a is divided by 59?
34
Let c = -13 + 37. Let j = c - -1. Suppose 0 = 7*s - 2*s - 75. Calculate the remainder when j is divided by s.
10
Suppose -64*u = -2*x - 65*u + 283, 0 = 2*x + 3*u - 293. What is the remainder when x is divided by 48?
43
Suppose -5*f - 25 = 0, 270 = 6*x - x - 4*f. Calculate the remainder when (2 - 900)*7/(-14) is divided by x.
49
Let d = -580 + 1247. Suppose 0 = 14*m - 2133 - d. Calculate the remainder when m is divided by 29.
26
What is the remainder when ((-20)/5 - 2171)*(7 - 1)/(-6) is divided by 312?
303
Let i = 661 - 658. Suppose -58 = i*j - 253. Calculate the remainder when 204 is divided by j.
9
Let c = 8413 - 8355. What is the remainder when 301 is divided by c?
11
Suppose m + 350 = 5*c - 2*m, -4*c - 5*m = -280. Let i = -603 + -847. Calculate the remainder when c is divided by i/(-40) - 2/(-2 - -10).
34
Suppose -26 = 5*k - 36, -12*p = -4*k - 76. What is the remainder when 316 is divided by p?
1
Suppose 0*l = 5*l - 7*l. What is the remainder when 96/6 + 115 - (l - 4) is divided by 35?
30
Suppose 10*f = 55 + 165. Suppose -22 = -4*v + f. What is the remainder when 49 + ((-3)/(-1) - -1) is divided by v?
9
Calculate the remainder when 10 is divided by (56/16)/(3/(-6)) + 14.
3
Suppose 2*x - 4 = 0, 336*g - 332*g + x = 6390. What is the remainder when g is divided by 532?
1
Suppose 5*j - 61 = 144. What is the remainder when (-2)/(12/(-2435)) - 2/(-12) is divided by j?
37
Suppose a = -4, 66*a = -2*l + 61*a + 78. Calculate the remainder when 1169 is divided by l.
42
Suppose -20*o = -44*o + 120. What is the remainder when (o + 106)*(2 + -1) is divided by 19?
16
Suppose -3*z = 3*n, -z + 14 - 2 = -2*n. What is the remainder when 10/35 + n/14 + 51 is divided by 3*(1 + (-3)/(-9))?
3
Suppose -s - 2*m = 3*s - 41282, 20631 = 2*s + 3*m. Calculate the remainder when s is divided by 89.
88
Suppose -17*l - 3495 + 7194 + 7963 = 0. Calculate the remainder when 694 is divided by l.
8
Suppose -2*c + 12 = u + 3, 15 = -3*c. Suppose b - 1 - 4 = 0. Calculate the remainder when u*(3 + 1 + -3) is divided by b.
4
Let c = -2951 - -3027. Calculate the remainder when 299 is divided by c.
71
Suppose z + 51 = -f + 2*f, 3*f + 4*z = 118. Let g be (31/5 + -7)*(-10)/4. Suppose g*a + 64 = 6*a. What is the remainder when f is divided by a?
14
Let c be (-5)/(-5) - (14 + -2). Let q be (-30)/(-15) - (c + -2). What is the remainder when (-486)/q*(-10)/(-6)*-3 is divided by 33?
30
Let v(h) = -7*h + 911. Calculate the remainder when v(-33) is divided by 127.
126
Let w(i) = 356*i - 5685. What is the remainder when 25882 is divi