 be 2/5 - z/5. Calculate the remainder when (j/(-9) - -1) + (-173)/(-3) is divided by 15.
12
Suppose -3*n + 3804 = -2*a - 236, -5*n = -2*a - 6736. Calculate the remainder when n is divided by 8.
4
Let x(h) = 1460*h - 6321. What is the remainder when x(5) is divided by 205?
159
Let s(u) = -2*u - 3*u + 4*u**2 - 5*u**2 + 11. What is the remainder when (-5)/(50/(-15))*12 is divided by s(-6)?
3
Suppose -18 = -4*i - 46, -2*r + 4*i + 436 = 0. What is the remainder when 408 is divided by r?
0
Suppose 672*a - 6 = 669*a. Suppose a*x = -3*o + 1 + 16, 60 = 5*o - 3*x. Calculate the remainder when 89 is divided by o.
8
Let p = 3838 - 3771. Calculate the remainder when 242 is divided by p.
41
Suppose 172 + 3743 = 45*u. Let o(y) = -y**3 - 5*y**2 - 5*y + 1. Let t be o(-4). Suppose t*x - 132 - 18 = 0. What is the remainder when u is divided by x?
27
Suppose 0 = 15*h + 3*g - 7959, 13*g - 18*g - 2105 = -4*h. Calculate the remainder when h is divided by 503.
27
Let w(q) = -60*q**2 + 34*q + 22*q**2 + 16 + 3*q**3 - 12*q**2 + 14*q**2. Calculate the remainder when 125 is divided by w(11).
17
Suppose 0 = -2*b - b + 75. Let o(p) = -8607*p - 154812. Calculate the remainder when o(-18) is divided by b.
14
Let v = 6494 + -6430. What is the remainder when 209 is divided by v?
17
Suppose -1490 = -8*w + 1638. Suppose 5*f = -4*g + 6*g - 299, -3*g - 4*f = -w. Calculate the remainder when g is divided by 37.
26
Suppose 61*y - 163 = -3*m + 62*y, 0 = 5*m - 3*y - 265. Suppose 0 = 2*t - 5*t - 5*u + 96, -5*t - u + 160 = 0. Calculate the remainder when m is divided by t.
24
Suppose -5*y - 2*l + 587 = 0, -546 = -4*y + l - 66. Suppose -c + 2*n + 2 = 0, 8*c - 5*c - 51 = -3*n. Calculate the remainder when y is divided by c.
11
Let u be 0/((-4)/1*(-1)/(-2)). Suppose -4*m + 4*o = u, -2*m + 4*o = o - 4. What is the remainder when (-186)/m - (-20)/(-40) is divided by 12?
10
Let d = 3474 + -3427. Suppose 5*b - b = 2244. What is the remainder when b is divided by d?
44
Let r(g) = -g**2 + 9760*g + 39062. What is the remainder when (438/(-4) - 1)*-4 is divided by r(-4)?
4
Suppose -z - 25 = 59. Let r = 119 + z. Suppose 55 = g + 3*o, -81*o - 319 = -5*g - 85*o. What is the remainder when g is divided by r?
32
Let o(w) = -36*w + 397. Let t be o(8). Let l be ((5 - 3) + -3)*91. Let m = l + t. What is the remainder when 68 is divided by m?
14
Suppose 2*r = -3*n + 23, 3*r - 5*n - 19 - 6 = 0. Suppose -18 = -r*v + 7*v. Suppose 13 = -v*w + 79. What is the remainder when 52 is divided by w?
8
Let a be 31/((-2)/8 - 5/(-60)). Let n = -150 - a. What is the remainder when 2/(-2)*(-141 - 0) is divided by n?
33
Let k(j) = j**3 - 7*j**2 + 7*j - 4. What is the remainder when (6 - 57/9)*(3 + -66) is divided by k(6)?
1
Let l be 4 - (-1 + 2) - 0. Suppose 2*i = -6*r + l*r + 16, 3*r - 36 = 3*i. Let c = -7 + 21. Calculate the remainder when c is divided by r.
6
Let v(q) = q**3 + 8*q**2 + 14*q - 4. Let a be v(-4). Suppose r - 4*f + 61 = 6*r, -3*f + 49 = a*r. What is the remainder when 259 is divided by r?
12
Suppose o - 1448 = -4*w, 24*o - 3*w = 21*o + 4359. Calculate the remainder when o is divided by 23.
3
Suppose -5*t + 33 = 13. Suppose -7*g = -t*g - 84. Suppose 0 = v + 4*u - 26, -5*u = 2*v - v - g. Calculate the remainder when v is divided by 7.
4
Let b be (5/50*-4)/(6/(-15)). Let t be (-20)/6*(-21 - (-4 + b)). What is the remainder when 47 is divided by (t/(-70))/(2/(-28))?
11
Let m(y) = -y**3 + 62*y**2 - 70*y + 1093. Calculate the remainder when m(60) is divided by 20.
13
Let k(t) = -t**3 + 7*t**2 + 6*t + 2. Calculate the remainder when 23/(67 + -21)*166 is divided by k(6).
9
Let r = 881 - 526. Let y = r - 244. Calculate the remainder when y is divided by 40.
31
Let u = 56 - 25. Let b = -28081 - -28232. Calculate the remainder when b is divided by u.
27
Suppose -2*s = -89 - 55. What is the remainder when ((-50246)/444 + 78)/(1/(-6)) is divided by s?
67
Let r = 1273 - 923. What is the remainder when r is divided by 22?
20
Suppose -345 = -100*w + 31*w. Calculate the remainder when 1079 is divided by w.
4
Let d = -7507 - -7551. Calculate the remainder when 3167 is divided by d.
43
Let o(f) = -2*f**3 + 25*f**2 - 16*f + 156. What is the remainder when o(12) is divided by 36?
0
Let p = -864 - -864. Suppose p = -67*a + 52*a + 465. Calculate the remainder when 334 is divided by a.
24
Let v = 111 - 126. Calculate the remainder when 6/v + 4284/60 is divided by 36.
35
Let u(k) = -k**3 + 2*k**2 - 2*k + 1. Let i be u(2). Let a = -4 - -6. Calculate the remainder when 1/i*-22*3/a is divided by 8.
3
Suppose -4*h = -3*c - 236, -4*h = -0*c - c - 228. Suppose 0 = p + 4*d - 28, 4*p = 6*p + 4*d - 48. Calculate the remainder when h is divided by p.
16
Let d = -674 + 1253. Let k = d + -399. What is the remainder when 29 is divided by 3*4/18 + 3120/k?
11
Let l = -3179 - -3412. Calculate the remainder when l is divided by 52.
25
What is the remainder when 1616 is divided by 3/(-1) - (-30 - (32 + -14))?
41
Let u = -13 + 19. Suppose 0 = -b - u*b + 357. Calculate the remainder when b is divided by (9/2 + -6)/(3/(-52)).
25
Suppose -4*a = 4*n - 8, -3*n - 2*n + 60 = -5*a. Suppose 5*f - 303 = 3*t, 0 = t - 0*f - 5*f + 111. Let b = -73 - t. What is the remainder when b is divided by n?
2
Suppose 6*m = m + 80. Let l(i) = 2*i**2 + 4*i + 3. Let f be l(-2). Suppose -3*d = -y - 2*y + 141, -f*d + 35 = y. Calculate the remainder when y is divided by m.
12
Let q = -12704 - -12986. Calculate the remainder when 615 is divided by q.
51
Let q = -271 - -276. Suppose -q*g + 759 + 911 = 0. What is the remainder when g is divided by 85?
79
Let w = -43601 + 43630. Calculate the remainder when w is divided by 1 + -2 - 6/(-1).
4
Suppose -d = -3*r + 619, 43*r = 45*r + 4*d - 422. What is the remainder when r is divided by 65?
12
Suppose -122*z + 125*z = -1185. Let i = z + 430. What is the remainder when i is divided by 19?
16
Let j = -23 + 62. Suppose -5*q + 31 = -j. Suppose 333 = 3*c - 3*p, p + 3*p + 114 = c. What is the remainder when c is divided by q?
12
Let s(y) = -11*y - 872. What is the remainder when 1493 is divided by s(-82)?
23
Suppose b = -r + 61, r + 99 = 3*b - 72. Suppose j = -13 + b. Calculate the remainder when j is divided by -7*12/(-15) - (-34)/85.
3
Suppose c - 5*t = 11502, -6*c - t = -c - 57458. Suppose -3*l = 49*l - c. Calculate the remainder when l is divided by 77.
67
Suppose -3*b + 2*k = -128, 2*b - 40 = -2*k + 42. Let d(s) be the first derivative of s**3 + 2*s**2 - 4*s - 1. What is the remainder when b is divided by d(2)?
10
Let w = -104 + 116. Suppose 4*r - 7 = 1. Suppose -4*z = t - r*t + 14, -51 = -5*t + z. What is the remainder when w is divided by t?
2
Let w(t) = -t**3 + 26*t**2 + 2*t - 36. Let b = -252 + 278. What is the remainder when 30 is divided by w(b)?
14
Let f be 1/((-5)/(-420)*3). Let r be (-38)/(-14) - (-3 - (-76)/f). Suppose -23 = r*m - 35. Calculate the remainder when m is divided by 4.
0
Let f(n) = 105*n - 916. What is the remainder when f(9) is divided by 5?
4
Suppose 109*o = 5*r + 108*o - 6542, -4 = 2*o. Suppose 7434 + r = 31*w. What is the remainder when w is divided by 24?
18
Let x = -7732 - -7803. Calculate the remainder when 6247 is divided by x.
70
Suppose -115*o + 108*o = -1414. What is the remainder when o is divided by 12?
10
Let i = 478 - 119. Calculate the remainder when i is divided by 247.
112
Suppose 120 = 4*h + 132. Let x be h/(-15) - 1776/30. Let q = -37 - x. What is the remainder when 41 is divided by q?
19
Suppose -5 = 2*c + 3*h, c - 2*h - 2*h = 25. Suppose -5*g + 11*r = -0*g - 137, -3*g + 5*r = -87. What is the remainder when g is divided by c?
4
Suppose 20*b = 3*a + 25*b - 1664, -3*b = a - 560. Calculate the remainder when a is divided by 71.
51
Suppose 0 = 5*i - 41 + 16. Suppose -56 = -4*c + 7*k - 3*k, 2*k + 61 = i*c. Suppose -169*u + 162*u + 203 = 0. What is the remainder when u is divided by c?
7
Let y(d) = 8*d**2 - 2*d**2 + 0*d**2 - 118 + 105 - 9*d. Suppose 38 = 5*r - 17. Calculate the remainder when y(-2) is divided by r.
7
Suppose i = -1 - 14. Calculate the remainder when (-132)/i*(2 - -3) is divided by (54/48)/(-9) - (-511)/56.
8
Suppose 5*b = 5*w - 551 - 49, 370 = 3*w - 5*b. Let i = 118 - w. What is the remainder when 24 is divided by i?
0
Suppose -4*h = -7*b + 4*b + 1135, 5*h = -2*b + 749. What i