et g(n) = 10*n**3 - 107*n**2 + 9*n + 313. Calculate the remainder when g(16) is divided by 83.
81
Let v be (-26)/(-6) - (-3)/(-9). Suppose 0 = 2*m - 5*d - 7, 0 = -v*m + 3*d + d + 8. Calculate the remainder when 18 is divided by (168/24)/(m - 0).
4
Let l(q) = 18*q + 62. Let a be l(2). Suppose 342 = 10*x - a. Calculate the remainder when 80 is divided by x.
36
Suppose 0 = -15*q - 1 + 91. Suppose -122 = -q*t + 28. What is the remainder when 49 is divided by t?
24
Let t be ((-2)/(-4))/((-5)/(-60)*-1). Let s(p) = -3*p**2 - 6*p + 6. Let a be s(t). Let w = -44 - a. Calculate the remainder when w is divided by 5.
2
Let t be 10 + -13 - (-1 - -5). Calculate the remainder when -3 + (1 - t) + 2 is divided by 5/(11 - (1 - -9)).
2
Let q be 6 + 0/(-4 + 2). Suppose -34 = -3*u + 5*c, -7*u + 12*u = 3*c + 62. Let i = q + u. Calculate the remainder when 36 is divided by i.
17
Suppose -3*x = -0*x, -2*h = 3*x + 112. Let z = h - -64. Suppose -q = 5*n - 395, -3*n - 6*q = -q - 237. Calculate the remainder when n is divided by z.
7
Let g be (7/2)/((-4)/(-8)). Suppose -g*c = -2*c - 60. What is the remainder when 54 is divided by -2*1 - (-252)/c?
16
What is the remainder when (-4400)/(-11) - (12 - 3) is divided by 54?
13
Suppose 0 = 240*n - 237*n + 3*z - 447, -3*z - 328 = -2*n. Calculate the remainder when 655 is divided by n.
35
Suppose 3*p + 4*w = w + 42, 38 = 3*p - w. Suppose 12 = x - 4*f - p, 3*x + 4*f = -5. Calculate the remainder when 107 is divided by x.
2
Suppose 0 = -x - a + 7, 2*a = -3*a. Let s(i) = 9*i + 51. Calculate the remainder when s(x) is divided by 34.
12
Let c = 129 + -123. What is the remainder when 4*(21/(-28))/(c/(-326)) is divided by 41?
40
Let k(i) = 6*i**2 + 44*i + 194. Let p(f) = -f**3 - 28*f**2 + 29*f + 58. Calculate the remainder when k(-4) is divided by p(-29).
56
Let t = 846 + -258. Suppose -t = -15*a + a. Let w = -186 - -311. Calculate the remainder when w is divided by a.
41
Let m(y) = y**3 - 15*y**2 + 37*y + 47. What is the remainder when 294 is divided by m(12)?
58
Suppose 0 = -8*q + 1101 + 323. Calculate the remainder when q is divided by 36.
34
Let w(z) = z**2 + 57*z - 490. What is the remainder when 2903 is divided by w(8)?
23
Let f = 446 + -346. Calculate the remainder when f is divided by (-130)/42 + 3 + (-6629)/(-147).
10
Let g = -52 - -40. Let s be (-1 - -3)/((-6)/g) - 2. Calculate the remainder when 58 is divided by (-45)/s*(-108)/81.
28
Suppose 0 = -39*l + 41*l - 4*i - 34, -5*i = 5*l - 145. What is the remainder when 166 is divided by l?
16
Let u(i) be the second derivative of 169*i**5/20 + i**4/12 - 2*i**3/3 + 3*i**2/2 + 68*i. What is the remainder when u(1) is divided by 45?
34
Let b = -3 - -9. Suppose -b*c - 6*c + 288 = 0. What is the remainder when c is divided by 8?
0
Let h = 64 + 175. Calculate the remainder when h is divided by (23 - (15 + 1))*60/14.
29
Let a(f) = 1013*f - 1404. What is the remainder when a(9) is divided by 14?
13
Suppose -37 = -5*t - 2*c, -t - 16*c - 7 = -12*c. Suppose 0 = 2*a + 3 + 17. What is the remainder when (-98)/(-4) + (-5)/a is divided by t?
7
Suppose -2*i = 5*j - 23, -4*i + 6*j = 3*j - 7. Suppose i*p + 7 = 171. Calculate the remainder when p is divided by 11.
8
Suppose 4*k + 4*w - 141 - 43 = 0, 181 = 5*k - 2*w. Calculate the remainder when 2038 is divided by k.
10
Let u = -225 - -230. Let h(s) = 19*s + 33. Calculate the remainder when h(u) is divided by 19.
14
Let n = 1218 - 923. What is the remainder when n is divided by 27?
25
What is the remainder when (-2 - 6)*44511/(-148) is divided by 92?
14
Let o(i) = -i**2 + 15*i + 373. Calculate the remainder when (-1084)/(-8) + 3/(-2) is divided by o(-13).
8
Let v(x) = -8*x + 63. Let b be v(7). Let o(w) = 13*w - 60. What is the remainder when 246 is divided by o(b)?
29
What is the remainder when (-7 + -1)*6526/(-208) + 5*1 is divided by 126?
4
Suppose 3585 = 43*k - 2220. What is the remainder when 549 is divided by k?
9
Let j(l) = 2*l**2 + 29*l - 351. What is the remainder when 633 is divided by j(9)?
57
Let g(y) be the first derivative of -y**3/3 + y**2/2 + 53*y - 33. Let h be g(-7). What is the remainder when 94 is divided by -13*(-10)/(2 - h)?
16
Let q(f) be the first derivative of -f**4/4 + 7*f**3 + 11*f**2 + 41*f + 10. Let i be q(22). Let u = i + 136. Calculate the remainder when u is divided by 45.
42
Let o be (-632)/7 - 44/(-154). Let b = o + 48. Calculate the remainder when 111 is divided by 1/((-8)/b)*(-288)/(-54).
27
Let w = 4276 + -1703. What is the remainder when w is divided by 112?
109
Suppose -4*h - 18 = i - 15, -3*i - 2*h = -1. Let o = 1 - 2. What is the remainder when 10 is divided by (16/o)/(i - 3)?
2
Let i(t) = 5*t + 7. Let u be i(5). Suppose 3*v - 4*v + u = 0. Let k(g) = -g**3 - 56*g**2 + 164*g - 748. What is the remainder when v is divided by k(-59)?
13
Suppose -2*p + 4*h = -422, 0 = -p - 5*h + 2*h + 186. Calculate the remainder when p is divided by (7 - 3)/(1 + 470/(-510)).
48
Let c(j) = -j**3 - 42*j**2 - 119*j + 31. Calculate the remainder when 231 is divided by c(-39).
13
Let a = 5 + -11. Let t = a + 8. Suppose -3 = -t*j + 73. Calculate the remainder when j is divided by 13.
12
Calculate the remainder when (-1189)/(-14) + (-25)/(-350) is divided by 41.
3
Let q = 106 + -104. Suppose q*s - 215 = 151. Calculate the remainder when s is divided by 68.
47
Suppose -j = -0*j + 22. Let d be (-11)/(j/(-8)) + (-2)/(-2). What is the remainder when -2 - (15/d - 3) is divided by 6?
0
Let x(b) be the third derivative of 3*b**4/8 + 59*b**3/6 + 2*b**2 - 45. What is the remainder when x(-5) is divided by 16/10 + 6/15?
0
Suppose 1 = -5*r - 19. Calculate the remainder when 243 is divided by 136/3 + r/(-6).
13
Calculate the remainder when 26/5 - 3/15 is divided by (54 - 58)*((-10)/(-8) - 2).
2
Suppose -584 = -4*y + 4*o, -3*y + 4*o = -0*o - 438. What is the remainder when y is divided by (-42)/(-8)*(0 + 4)?
20
Suppose -1 = 2*r + 4*z - 69, -2*r + 47 = z. Calculate the remainder when 18377 is divided by r.
17
Let x = -2243 - -2350. What is the remainder when x is divided by 36?
35
Calculate the remainder when 86/559 - 8550/(-26) is divided by 167.
162
Suppose 0 = -38*a + 7358 + 1914. What is the remainder when 5111 is divided by a?
231
Suppose 0 = -3*j + 15 + 6. Suppose j*o + 3 = 38. Suppose -3*k = -4*x - 0*k + 57, 0 = x + o*k - 43. Calculate the remainder when 67 is divided by x.
13
Suppose -9*f - 2715433 = 29*f - 87*f. Calculate the remainder when f is divided by 17.
14
Let j be ((-342)/(-12))/((-1)/8*-1). Let p = 244 - j. What is the remainder when 77 is divided by p?
13
Let r = -5813 - -5844. Calculate the remainder when r is divided by 10.
1
Suppose -5*i + 1824 = 504. Let z = -251 + i. What is the remainder when 895 is divided by z?
11
Calculate the remainder when 1083 is divided by (-7)/(-6 - (-3410)/572).
173
Suppose -2*r + 0*f + 42 = 5*f, -3*r - 3*f = -72. Let x = -1801 - -1956. What is the remainder when x is divided by r?
25
Let d = 959 + -926. Let b be (-2)/(-3)*9 + 2. Suppose b - d = -5*x. What is the remainder when 63 is divided by x?
3
Suppose -5*t + 33 = 2*c, 5*t = -4*c - 5 + 36. Let w(s) = s**2 - 4*s + 6. What is the remainder when w(6) is divided by t?
4
Let t be 1/(2/(13 + -3)). Suppose 0 = -4*o - 0*h - t*h + 119, -67 = -2*o - 5*h. Suppose -7*r + 37 + o = 0. What is the remainder when r is divided by 7?
2
Let i = 352 + 206. Suppose -4*w - 2*j + i = 0, 0 = -5*w + 3*j + 482 + 210. What is the remainder when w is divided by 20?
19
What is the remainder when 402 is divided by (-5 - -2)/(74/(-962))?
12
Let h = 1158 + -932. Calculate the remainder when 474 is divided by h.
22
Let p = 0 - -9. Let f = 2378 - 2308. What is the remainder when f is divided by p?
7
Let o be (-4)/(-32)*-2 - (-26)/8. Suppose 0 = -5*t - 3*w + 61, o*t + t + w - 53 = 0. Calculate the remainder when (13*20/130)/(4/78) is divided by t.
11
Suppose -2*y + 5*b = 276 - 325, y + b - 35 = 0. What is the remainder when (6/9)/(16/1896) is divided by y?
15
Calculate the remainder when (-9672)/(-91) + -6 + (-160)/(-28) is divided by 20.
6
Suppose -34*g = -525 - 18 - 69. What is the remainder when 9557 is divided by g?
17
Let v be (0/(-1))/(6 + (5 - 14)). What is the remainder when 3/(-5 + 11)*698 + v is divided by 35?
34
Let g = 11 - 15. What is the remainder when (-13)/((g 