q = -247 + 250. Suppose q*n = -3, 4*n = 2*s + 8*n - 56. Calculate the remainder when 53 is divided by s.
23
Suppose -3*d = 4*k - 85, 4*k + 2*d - 52 = 34. Let c(w) = -44*w + 2485. What is the remainder when c(52) is divided by k?
21
Let k(x) = -x**2 + 9*x + 24. Let t be -2 + (-8)/(-2) + 0/2. Suppose 5*u = -5*l + 55, -t*u = -l - 40 + 18. What is the remainder when 8 is divided by k(u)?
0
Let d be (1 + -9)*654/(-24). Let a = -210 + d. What is the remainder when 14 is divided by a?
6
Suppose -r + 5*o = 232 - 344, 2*o + 414 = 3*r. Suppose -2*x + 78 = -4*d - 8, -x = -d - 40. What is the remainder when r is divided by x?
31
Suppose -47*s + 1775 = -477 + 137. Calculate the remainder when 1073 is divided by s.
38
Suppose -15*i + 115 = 8*i. Suppose 4*b - 177 = -i*v + 8*b, -4*b - 29 = -v. What is the remainder when 107 is divided by v?
33
Let y be -11*6*(-1)/(-6). Let u(f) = -5*f + 17. Suppose -5*z - 153 = -4*i, -5*z + 69 = 3*i - i. What is the remainder when u(y) is divided by i?
35
Let h(j) = 2*j + 109. Let n be h(-13). Suppose 81*p + 28 = n*p. What is the remainder when 17 is divided by p?
3
Let g(k) = k**3 - 49*k**2 + 446*k - 37. Calculate the remainder when 104 is divided by g(37).
30
Let k(c) be the first derivative of 3*c**3 + 29*c**2/2 + 12*c - 54. Calculate the remainder when 76 is divided by k(-4).
36
Let i(y) = -321*y - 11542. Let d = 36 + 30. What is the remainder when d is divided by i(-36)?
10
What is the remainder when 443 is divided by (-525)/(-4) - (-5 + 5/20 + 5)?
50
Let t(o) = -469*o - 1792. Let w be t(-4). Let n be (-2)/((-4)/186) + 1. Let k = n - w. Calculate the remainder when 107 is divided by k.
7
Suppose -8*i + 2884 = -i. Suppose 0 = -i*s + 404*s + 32. What is the remainder when 51 is divided by s?
3
What is the remainder when 508/8 - (11 + 95/(-10)) is divided by 11?
7
Calculate the remainder when 3792 is divided by (-35)/4*8/(-5).
12
Let s(m) = m**3 - 3*m**2 - 10*m - 28. Let w be s(6). Suppose -18*r = -w*r + 1170. Calculate the remainder when r is divided by 21.
18
Let o be (1 - 792/56) + (-1)/(-7). Let x = 75 + o. What is the remainder when 245 is divided by x?
59
Suppose -t + 56 = 5*q, 4*t - 641 = -q - 512. What is the remainder when 203 is divided by t?
17
Suppose -3*f + 390 = 2*m, -2*m - 4*f = -88 - 296. What is the remainder when m is divided by 5?
4
Let r = -21 - -32. Let m(y) = 2*y**2 - 18*y - 2. Let v be m(r). Calculate the remainder when (-1)/((-2)/v - 0) is divided by 7.
0
Suppose 3*m + 18 = 18. Suppose -8*v + 5*v + 5*x + 38 = m, 5*v - x = 34. What is the remainder when 29 is divided by ((-68)/51)/((-1)/v)?
5
Calculate the remainder when 16 - 335/20 - ((-2263)/4 + 3) is divided by 96.
82
Suppose -59*s + 5590 = 71*s. What is the remainder when 942 is divided by s?
39
Let f = 144 - 128. Suppose 16 = 4*p, -p = -5*t + 295 + f. Calculate the remainder when t is divided by 17.
12
Let y = 198 + -141. Suppose -2*w = -664 + 100. Calculate the remainder when y is divided by w/15 - -1 - (-13)/65.
17
Let d = -12441 - -12869. What is the remainder when 469 is divided by d?
41
Suppose 0 = b + 4*h - 37, 5*h - 10 = b - 2. Suppose -w + l = -8, 31*w - 4*l + b = 34*w. Calculate the remainder when 15 is divided by w.
1
Let w(j) = 28*j**2 + 34*j - 67. Let f be w(2). Suppose -4*g = -9*g + 5*t + 95, 5*g - f = -4*t. What is the remainder when 285 is divided by g?
12
Suppose 4*l - 459 = -5*m, 0 = 6*l - 2*l + m - 479. Let u = l - -62. What is the remainder when u*3/(-45)*-5 is divided by 22?
17
Let w be 100/(3/(3 + 0)). Suppose -v + 80 = 3*r - 180, -3*v + w = r. Calculate the remainder when 77 is divided by (2 + r/(-10))*-2.
12
What is the remainder when 922 is divided by 266/10 + 1 + (-623)/(-445)?
23
Let r(h) = 42*h**2 - 50*h - 212. Calculate the remainder when r(-4) is divided by 54.
12
Let j(g) = -13*g + 777. What is the remainder when 313 is divided by j(56)?
19
Let j(b) = -5*b**2 + 0 - 3*b**2 - 9*b**3 - 13 + 10*b**3 - 8*b. Let p be j(9). What is the remainder when 76*p*(-2)/16 is divided by 10?
8
Let l = -9778 + 10888. What is the remainder when l is divided by 139?
137
Let u(x) = x**2 + 19. Let y be u(8). Let r(d) = -d**3 + 15*d**2 + 4*d + 3. Let b be r(15). Let k = y - b. Calculate the remainder when k is divided by 7.
6
Let n(f) = 51*f + 1339. What is the remainder when 802/14 - 2/7 is divided by n(-26)?
5
Let r = 62 + -64. Let h = r + 62. Let j = h + -49. What is the remainder when 120 is divided by j?
10
Let p = -393 - -397. Suppose -3*m + 4*m = 3*t - 425, p*t - 569 = -m. Calculate the remainder when t is divided by 29.
26
Suppose -9*h + 2*h = -21. Suppose -h*s - 7*r - 147 = -3*r, -4*s - 224 = -4*r. Let q = 85 + s. What is the remainder when 42 is divided by q?
10
Calculate the remainder when 218 is divided by -1 + 14 - ((-81)/14 - 54/252).
9
Calculate the remainder when (6/(30/35))/(8/96*3) is divided by (36/(-4) + -2)*-1*1.
6
Let d(l) = 193*l - 2644. Suppose -2*v + 0*v = 0, 4*y + 4*v = 80. What is the remainder when d(14) is divided by y?
18
Let l(i) = -2114*i + 4379. What is the remainder when 13133 is divided by l(2)?
147
Suppose 2692 + 2573 = 27*s. What is the remainder when 2923 is divided by s?
193
Let h = -641 - -653. Let p = -31 + 46. Let m = p + 8. Calculate the remainder when m is divided by h.
11
Let t(r) = 16*r - 41. Let m be t(4). Suppose m*c - 838 - 36 = 0. Calculate the remainder when c is divided by 13.
12
Let i be -8 + 8 + (-4)/(-2)*-1. Calculate the remainder when (-365)/i - 24/(-48) is divided by 31.
28
Let u(l) = -l**3 + 3*l**2 - 2*l + 1. Let d be 2/(-3) - (-14)/21. Let p be u(d). Calculate the remainder when 7 is divided by 38/(-114) + p + 8/6.
1
Suppose 10*w - 19*w - 39843 = 0. What is the remainder when (-10)/(-15)*-1 + w/(-3) is divided by 12?
11
Suppose -228*r + 178*r = -6300. What is the remainder when 414 is divided by r?
36
Let c = 210 - 27. Suppose -4*g + 141 + c = 0. What is the remainder when g is divided by 14?
11
Let i = -2 + 1. Let v = 16257 - 16243. Calculate the remainder when (-77)/(-2) - i/2 is divided by v.
11
What is the remainder when 102 is divided by (-1146)/(-21) + 87/203?
47
Let n(r) = 219*r**2 + 2*r - 1. Let c be n(-1). Let w = c - 199. Calculate the remainder when 45 is divided by w.
11
Let w(i) be the third derivative of i**5/30 + i**4/24 + 13*i**3/6 + 54*i**2 + 2*i. What is the remainder when w(-6) is divided by 16?
15
Suppose 2*x - 3440 = -5*h + 701, 3*h + 3*x - 2481 = 0. What is the remainder when h is divided by 120?
109
Suppose -2*l = 4*t - 1734, 3*t - 2616 = -8*l + 5*l. Calculate the remainder when l is divided by 110.
107
Suppose 0 = 2*u - k - 4, -k - 11 = -u - 5*k. Let n = 10 - u. Suppose 8*a - 1587 + 1483 = 0. What is the remainder when a is divided by n?
6
Suppose -2*z = -7*s - 320, 0 = -3*z + 14*s - 16*s + 405. Calculate the remainder when 1105 is divided by z.
132
Suppose -3*b = 4*a - 3234, 19*b = 23*b - 5*a - 4343. What is the remainder when b is divided by 1070?
12
Suppose 10395 = 776*m - 761*m. Calculate the remainder when m is divided by 25.
18
Let f = -70 + 52. Let o = -88 + 192. What is the remainder when o is divided by (4/f - (-1030)/(-90))*-3?
34
Let i(q) = -25*q. Let l(m) = -29 + 29*m + 15 + 16 - 3*m**2 - 5*m**2. Calculate the remainder when i(-2) is divided by l(3).
16
Calculate the remainder when 3049 is divided by (24 - (16 + -20))*(1 - 0).
25
Suppose -1715 = -45*x - 20*x + 16*x. Suppose 0 = 2*n + 2*n - 128. Suppose 3*s + 0*z = -z + n, 2*z - 52 = -5*s. Calculate the remainder when x is divided by s.
11
Let o(a) = 2*a**3 + 3*a**2 - 5*a - 5. Let l be o(-2). Let k = l + 4. Suppose -41 = -k*d - 11. What is the remainder when 53 is divided by d?
5
Calculate the remainder when 1136 is divided by (357/8211)/(1/1219).
23
Calculate the remainder when 18233 is divided by (618/1030)/((-3)/(-90)).
17
Suppose 0 = -28*p - 31*p + 6726. What is the remainder when p is divided by 6?
0
Suppose -299*q = -377*q + 1248. Calculate the remainder when 376 is divided by q.
8
Let u be 2 - 3 - (84 - 9). Let q = 139 + u. Let v = -47 + q. Calculate the remainder when 42 is divided by v.
10
Let m = 17893 - 17862. What is the remainder when 17823 is divided by m?
29
Let r(h) = -55*h**2 - 3*h + 3. Let z be r(1). Let k = -50 - z. Let o(m) = -m**3 + 6*m**2 - m - 7. Calculate the remainder