(24/3)/((-4)/16*-4). What is the remainder when (-4)/(-18) + (-106)/(-9) is divided by -4 - 2/(3*s/(-84))?
0
Suppose 47*q - 77 + 414 = 48*q. What is the remainder when 1012 is divided by q?
1
Let h(l) = l**2 - 16*l + 73. Suppose 22 + 28 = 5*j. Calculate the remainder when 140 is divided by h(j).
10
Let h(s) = -76*s + 176*s + 213 - 86*s. What is the remainder when 11 is divided by h(-15)?
2
Suppose 153 = 95691*k - 95682*k. Calculate the remainder when 4758 is divided by k.
15
Suppose 48 = 4*g + 4*f, 8*g - 4*g - 24 = 2*f. Let w = 108 + -105. Suppose -w*s + s - 4*a = -38, -s + 49 = -4*a. What is the remainder when s is divided by g?
5
Let w(n) = -n**2 - 13*n - 6. Suppose 0 = -2*u - 8*t + 3*t, -22 = 4*u - t. What is the remainder when (-42)/(-13 - (-51)/4) is divided by w(u)?
32
Let m(j) = 7*j - 21. Let p be m(7). Suppose 32*t = p*t + 152. Calculate the remainder when t is divided by 4 + 2*(-4 + 5).
2
Let w = 1212 + -1194. What is the remainder when 206 is divided by w?
8
Suppose 0 = 318*d - 310*d - 704. What is the remainder when 273 is divided by d?
9
Suppose -3*d - 154 = -o - 877, 0 = 3*d + 3*o - 735. What is the remainder when d is divided by 125?
117
What is the remainder when 1509 is divided by 4*2/(-24) + -3*3604/(-36)?
9
Suppose 235*l = -235*l + 461*l + 5427. Calculate the remainder when l is divided by 148.
11
Suppose 8 = 4*t, 0 = a - 3*t + 4*t - 5. Suppose -5*q + 5 = -a*d, -4*q - 3*d + 6*d = -1. Calculate the remainder when 24 is divided by q.
0
Let n(h) = -h**2 + 73*h + 763. What is the remainder when 913 is divided by n(79)?
46
Let d = 6929 + -6849. Calculate the remainder when 559 is divided by d.
79
Let b(r) = 26*r + 414. Let n be b(-16). What is the remainder when 49 is divided by -6*(-13 + 9) - n?
23
Let z = -31 + 34. Suppose -2*s + z*g + 4 = 0, 3*s + 5*g + 4 = 5*s. Let t(y) = -y**2 + 3*y - 1. What is the remainder when 1 is divided by t(s)?
0
Let p(u) = 5*u. Let b be p(7). Let t = -81 + 45. What is the remainder when t/(b/10 - 4) is divided by 37?
35
Let q = 140 + -82. Suppose 2*j + q = a - 9, 4*j = -a + 85. What is the remainder when 214 is divided by a?
68
Let d(b) = 8*b**3 + 111*b**2 - 15*b - 8. Calculate the remainder when d(-14) is divided by ((-4)/(-8))/(2/12).
0
Let j be (0/2)/(-91 + 94). Suppose j = -521*t + 504*t + 102. Calculate the remainder when -1*1 + 22/2 is divided by t.
4
Let t = 45 + 38. Let c = t + -37. Let y(g) = -301*g - 120. Calculate the remainder when y(-1) is divided by c.
43
Calculate the remainder when 1073 is divided by (4/14)/((2460/2310)/41).
6
Suppose x = -z + 41 + 15, z - 233 = -4*x. Suppose x*t - 64*t = -370. What is the remainder when 885 is divided by t?
71
Let q be 16*(-1631)/(-84) + (-4)/6. Let i = q - 300. What is the remainder when 14 is divided by i?
4
Calculate the remainder when 48/(-240) - 2463/(-15) is divided by 22.
10
Let f(q) = 3*q**2 - 2*q + 228. Calculate the remainder when f(-19) is divided by 195.
179
Suppose -w - 3 = -24. Let z(h) = -h**3 - 13*h**2 + 61*h + 46. What is the remainder when z(-17) is divided by w?
18
Suppose -33 + 6 = -3*u. Suppose -2*n + 3*t = -184, -u = -3*t - 21. Let y = -70 + n. Calculate the remainder when 21 is divided by y.
5
Let n = -12 + 15. Suppose 2*d = h - 6, -d - 4 + 1 = -n*h. Calculate the remainder when 136 is divided by (-4)/6 + d*71/(-9).
21
What is the remainder when 7760/76 + (-6)/57 is divided by 8 + (-2 + 1)/((-15)/105)?
12
Let c = 51 + -10. Let a(x) = -2*x**3 - 36*x**2 - 19*x - 22. Let r be a(-18). Suppose 12 = -22*n + r. What is the remainder when c is divided by n?
13
Suppose 14*x + 72 = 20*x. Let v = x + -10. Calculate the remainder when 59 is divided by ((-30)/9)/(v/(-12)).
19
Let h(y) = -51*y - 9*y**2 + 17*y**3 + 53*y + 2 - 15*y**3. Let t(l) = -l**2 + 7*l. Let a be t(6). What is the remainder when h(a) is divided by 41?
40
Calculate the remainder when ((-6)/7)/(-6) + (43025/(-35))/(-5) is divided by 121.
4
Suppose -5*l + 13 = -2*q, -q - 13 = -l - 11. Suppose -c = -4 + 5, 139 = l*p - c. What is the remainder when p is divided by 3?
1
Suppose -60 = -2*c + 18. Let l = -258 - -263. What is the remainder when (l + 2)*(-5)/(-7) - -69 is divided by c?
35
Let o be (-27 - -36) + 43*9. Let c = o - -226. What is the remainder when c is divided by 16?
14
Let y = -29 - -35. Suppose -y*v - 24 = -0*v. What is the remainder when 27 is divided by -1*14*2/v?
6
Let m be (2 + -2)/((-4)/(4 + 0)). Suppose 4*h - 5*v - 57 = m, -2*v + 30 = 6*h - h. Let l = -146 + 208. Calculate the remainder when l is divided by h.
6
Suppose 12367 = -17*r + 12911. Calculate the remainder when 4156 is divided by r.
28
Let t(q) = q**2 - 22*q + 359. What is the remainder when t(33) is divided by 35?
22
Suppose -5*j + 5 = 0, 26*n - 24*n = -2*j + 60. What is the remainder when 404 is divided by n?
27
Let r(i) = -3*i**3 + 15*i**2 + 5*i - 17. Let s be r(5). Let h(w) = 2*w**3 - 14*w**2 - 2*w - 21. Calculate the remainder when h(s) is divided by 31.
29
Suppose -88164 = -83*i + 60*i + 21661. Calculate the remainder when i is divided by 14.
1
Let w(h) = -132*h + 837. Calculate the remainder when w(-4) is divided by 313.
113
Suppose 2*f + 4*p + 7 = 49, -120 = -5*f + 5*p. Suppose -3*w + 1716 = f*w. What is the remainder when w is divided by 61?
5
Let o(r) be the second derivative of 4*r**3 - 68*r**2 - r + 17. Calculate the remainder when 187 is divided by o(7).
27
Let k be 8/(-6) + (-1558)/(-57). Suppose 0 = x - 93 - k. What is the remainder when x is divided by 20?
19
Let u(f) = -4*f + 10. Let o be u(-18). Let l = o + -40. Let x = l - 8. What is the remainder when 167 is divided by x?
31
Suppose 4*j - 4*z - 239 = -3*z, j - 81 = -4*z. Suppose -2*x = -240 + 2436. Let o = x - -1218. Calculate the remainder when o is divided by j.
59
Suppose -5*h - 5*s = -1015, -h + 113 + 95 = -4*s. Let u = h + -191. What is the remainder when 51 is divided by u?
12
Suppose -6*n + 8256 = -8950 + 214. What is the remainder when n is divided by 105?
102
Let z(m) = m**3 + 49*m**2 - 120*m - 147. What is the remainder when z(-51) is divided by 37?
31
Suppose 0 = -2*d + 52 + 64. Let w = 297189 - 296968. Calculate the remainder when w is divided by d.
47
Let n be 102/4*(-2)/3. Let w(q) = -q**3 - 13*q**2 + 5*q + 7. Let b be w(n). Suppose -15*u = -4*u - b. What is the remainder when u is divided by 34?
30
Let y be -4 - -4*19 - 3. Let m = -40 + y. Let k = 455 + -438. Calculate the remainder when m is divided by k.
12
Suppose 2*s = -2*h + 58, 5*s - 151 = -141. Calculate the remainder when 750 is divided by h.
21
Let z(s) = 2*s**3 + 33*s**2 - 146*s + 42. What is the remainder when 260 is divided by z(4)?
32
Calculate the remainder when 2287 is divided by (-345)/(-27) + 9*32/1296.
12
Let w = 14 + 21. What is the remainder when 814/8 + (-35)/20 + -5 + 6 is divided by w?
31
Let t be (-1 - (-2 - -1))/3. Suppose 4*n - 3*n = t. Suppose 32 = -n*l + 4*l. Calculate the remainder when l is divided by 3.
2
Let z(v) = 2*v**3 - 3*v - 2. Let p be z(-2). Suppose 100*b - 1510 = 924 - 234. What is the remainder when (-159)/2*p/9 is divided by b?
18
Suppose -6*l - 152 = 382. Let p = -66 - l. Suppose k - 40 - 28 = 0. What is the remainder when k is divided by p?
22
Suppose 4941 + 10809 = -30*q. Let m = -402 - q. What is the remainder when m is divided by 21?
18
Suppose -3*s + 5*y = 2*s, 2*s = 5*y - 15. Suppose w + 52 = s*w - r, 4*r = -16. What is the remainder when w is divided by 3?
0
Suppose 11*k - 9*k - 52 = 0. Suppose 17 + 1 = -2*b. What is the remainder when k is divided by ((-42)/12)/(b/(-6) + -2)?
5
What is the remainder when -6 - (1 - 2)/(38/12008) is divided by 28?
2
Suppose 8*z - 9644 = 8564. Suppose -z = -6*w - 344. Calculate the remainder when w is divided by 12.
10
Suppose 0 = 4*s - 3 - 5. Suppose 9 = 2*m + 1, s*q + 4*m = 4. Calculate the remainder when 30 is divided by 0 + ((-11)/3)/(q/18).
8
Let o = -131 - -130. Let t(m) = -30*m**3 - 2*m - 1. Calculate the remainder when 72 is divided by t(o).
10
Let v = 4613 - 4522. What is the remainder when 496 is divided by v?
41
Let q(z) = 4513 - z**3 - 4515 + 26*z + z**2 + z**2. Suppose -45 + 9 = -4*n. Calculate the remainder when q(-5) is divided by n.
7
Suppose 6*s + 704 = 3*s + 2*m, 4*s + 932 = m. Let b = s - -544. Suppose -2*i + 6 = 0, -5*i + b = 4*o - o. Calculate the remainder wh