. Calculate the remainder when j/(-30) + 3/(-9) is divided by 7.
5
Suppose -53*d - 42*d - 42*d + 21783 = 0. Let t(i) = i**3 - 2*i**2 - 7*i + 1. What is the remainder when d is divided by t(5)?
36
Let p(j) = -75*j - 3521. Calculate the remainder when p(-49) is divided by 13.
11
Let v(j) = 2*j**2 + j - 31. Let y be v(-7). Suppose 10*q = 16*q - y. Calculate the remainder when 114 is divided by q.
4
Let g(z) = -z**2 - 8*z + 1848. What is the remainder when 1844 is divided by g(-44)?
260
Suppose 2*z = 5*m - 3803, -5*z - 729 + 2227 = 2*m. Suppose -35*c = m - 2299. What is the remainder when 160 is divided by c?
28
Let t = 4290 + -2976. What is the remainder when t is divided by 35?
19
Let n(l) = l - 15. Let t = -41 - -47. Let v be n(t). What is the remainder when ((-204)/v)/((-2)/(-9)*3) is divided by 20?
14
Let t = 2 + 24. Calculate the remainder when t is divided by 6/(-4)*576/648*(-21)/2.
12
Let k(j) = j**3 + 10*j**2 + 17*j + 2. Let u be k(-8). What is the remainder when (-6408)/(-45)*(-15)/u is divided by 51?
50
Let y be 0/(-7*(-4)/28). Suppose y = -15*z + 23*z - 144. Let f(v) = v**2 - 5*v. What is the remainder when f(-5) is divided by z?
14
Let w(y) = y + 5. Suppose 458 = 2*r - 2*d, d = 2*r + r - 693. Suppose -r = -13*t + 262. What is the remainder when t is divided by w(0)?
3
Suppose 14302 = 35*n + 5802 - 10330. Calculate the remainder when n is divided by 47.
21
Suppose -10*s + 15*s = 4*g + 156, g - 80 = -3*s. What is the remainder when -3 + -2*(3 - -14)*-4 is divided by s?
21
Suppose -335*c + 4115 = -21010. Calculate the remainder when 5398 is divided by c.
73
Suppose 30*f - 2120 - 250 = 0. Calculate the remainder when 227 is divided by f.
69
Let z be ((-3)/(-9))/((-1)/15). Let k(c) be the first derivative of 4*c**3/3 + 5*c**2 - 6*c - 12. Calculate the remainder when 87 is divided by k(z).
43
Suppose 3*f = 15, f + 10 = -4*p + p. Let b(m) = -m**2 - 14*m - 36. Let d(v) = 3*v - 7. What is the remainder when d(10) is divided by b(p)?
5
Let z be (11 - 1)/(4/314). Suppose 8*r = z - 161. Suppose -4*k + r = 2*k. Calculate the remainder when 51 is divided by k.
12
Let q = -5921 - -6890. Calculate the remainder when q is divided by 319.
12
Let l(p) = 4*p**2 - 33*p - 402. Calculate the remainder when l(21) is divided by 13.
6
Calculate the remainder when (10 + -94)*11/(-2) is divided by 231.
0
Suppose 0 = 21*o - 19*o + a - 438, -2*o + 434 = 2*a. Suppose 0 = -77*n + 683 - o. What is the remainder when 29 is divided by n?
5
Suppose 5*n = 2*a - 463, -5*a + 498*n - 500*n + 1172 = 0. Calculate the remainder when a is divided by 106.
22
Suppose 3*n - 1111 = 4*f - 183, 4*f = n - 320. What is the remainder when 1221 is divided by n?
5
Let x be 6*30/(-27)*(-9)/(-15). Let j(p) = p**2 - 18*p - 47. What is the remainder when 198 is divided by j(x)?
34
Let a = -56 + 150. Let b = -2123 - -2139. Calculate the remainder when a is divided by b.
14
Let g(z) = -4*z + 0 + z**3 + 5*z**2 - 2 - 1 - 1. Let q be g(-5). Suppose q*b - 13*b = 51. What is the remainder when b is divided by 6?
5
Suppose 4*q = -3 - 1. Let x = 572 - 568. Let w = x - q. What is the remainder when w is divided by 1?
0
Let r(s) = 38*s - 1147. Calculate the remainder when 1172 is divided by r(38).
281
Suppose 0 = 3*b + 4*m - 1492, -2*b + 313 = -2*m - 677. Let i = 7 + b. What is the remainder when i is divided by 21?
20
Let q be (2/(-5))/(94/95 - 1). Suppose q = 9*b - 70. Calculate the remainder when 32 is divided by b.
8
Let x = -15 + 72. Let d(v) = -v**3 + 49*v**2 - 104*v - 24. Let s be d(47). Let j = 525 + s. What is the remainder when x is divided by j?
26
Let c = -71340 + 71681. Let t(s) = s + 19. Calculate the remainder when c is divided by t(0).
18
Suppose 5*i - 15*w = -14*w + 11, 20 = 5*w. Suppose -21 = -2*s - i*k + 6*k, -3*s = 3*k - 24. What is the remainder when 302 is divided by s?
5
Suppose -v - 6 = -2*v. Suppose -1 = -w, 3*a - 4*a - w = -v. Suppose -a*o - 2*y + 20 = -o, 5*y - 26 = -4*o. Calculate the remainder when 19 is divided by o.
3
Let j(z) = -z**3 + 9*z**2 - 42*z + 61. Suppose -2*y - 96 = -5*y. What is the remainder when y is divided by j(2)?
2
Let b(u) = -25*u + 153. What is the remainder when 207 is divided by b(6)?
0
Suppose 5*a + 3*x - 51 = 2*a, 22 = 2*a - x. Calculate the remainder when 4563/195 + 2*(-9)/(-30) is divided by a.
11
Let j(o) = -o**3 + 17*o**2 - 30*o + 4. Suppose 4*l - 186 = 2*z, 5*l + 4*z = -0*l + 213. Suppose -4*h = -h - l. What is the remainder when 47 is divided by j(h)?
3
Suppose x = -j + 28, 3*x + 43 = -2*j + 126. Calculate the remainder when 646 is divided by x.
25
Suppose -n + h + 80 = 0, 141*n - 146*n + 396 = -3*h. What is the remainder when 2179 is divided by n?
73
Calculate the remainder when 668 is divided by (-5 + (-110)/(-40))*(0 - 52) - 1.
88
Suppose -2*j = -6*j - 8. Let h be (j + (-3)/12)/(8/(-192)). Suppose -6*i = -4*i - h. Calculate the remainder when i is divided by 16.
11
Let o(s) = 4*s**3 - 20*s**2 + 131*s - 280. Calculate the remainder when o(8) is divided by 510.
6
Let o(w) = -31*w - 101. Let y be o(-24). Let r = -582 + y. What is the remainder when 90 is divided by r?
29
Let i(b) = 31*b - 4458. What is the remainder when 2080 is divided by i(149)?
148
What is the remainder when (-2)/(-18)*2621 + (-412)/1854 is divided by 132?
27
Let r = 121 + -33. Let g = -26 + r. Let p = 171 - g. Calculate the remainder when p is divided by 14.
11
Let k = -157 - -163. Suppose k*o - 2 = 16. Let g = 18 + -12. Calculate the remainder when g is divided by o.
0
Suppose -5*o - 2*r = -374, -4*r = -5*o - 2*r + 366. Let l = o + -41. What is the remainder when 18791/299 - (-4)/26 is divided by l?
30
Let u(b) = 3*b - 22. Let c be u(8). Calculate the remainder when 8289/189 - c/(-14) is divided by 15.
14
Let j(y) = y**2 + 29*y. Calculate the remainder when j(-33) is divided by 3.
0
Let k = -166 - 34. Let g = -123 - k. What is the remainder when 303 is divided by g?
72
Suppose -2*i = -3*h - 3447, 1533*h + 6899 = 4*i + 1532*h. Calculate the remainder when i is divided by 574.
3
Let y = -284 + 417. Let s = y - 113. Calculate the remainder when 28 is divided by s.
8
Let b(j) = -j + 1. Let y(w) = w + 24. Let k(s) = 10*b(s) + 2*y(s). What is the remainder when k(-18) is divided by 29?
28
Let q = 10471 - 10441. Calculate the remainder when 87 is divided by q.
27
Let c(r) = 8*r + 303. What is the remainder when 199 is divided by c(-29)?
57
Suppose 298 = 3*q + 391. Let z(v) = -v**2 - 51*v - 86. What is the remainder when z(q) is divided by 67?
65
Let m(k) = 20*k**3 - k**2 + 2*k. Let z be m(-2). Let g be z/(-70) - (-4)/(-10). What is the remainder when g + -4 - (1 - 2)*61 is divided by 12?
11
Let c = 15 + -9. Let m be 40/(-12)*3*12/(-10). Suppose -20 = -m*k + 4. Calculate the remainder when c is divided by k.
0
Suppose -6*m + 11 = -7. Suppose -8 = 4*a, -l - m*a + 20 = -a. Calculate the remainder when 36 is divided by (l/84 - (-22)/(-28))*-20.
6
Suppose -x = -2*x + 19. Suppose 0 = -4*o + 3*v - 0*v + 5, 5*o = -2*v + 12. What is the remainder when ((-15)/(-10) - o)/((-3)/660) is divided by x?
15
Suppose 3*k + k = 16. Suppose -i - t + 14 = 0, 70 = 5*i - 78*t + 73*t. Suppose -i*g = k*g - 558. What is the remainder when g is divided by 12?
7
Suppose 44*h = 46*h. Let t(i) = 5*i**3 + 4*i**2 - i - 20. Let m(b) = b**3 + b**2. Let j(l) = 6*m(l) - t(l). Calculate the remainder when 97 is divided by j(h).
17
What is the remainder when 737 is divided by (8/6 - 0) + (-67)/(3216/(-992))?
11
Let d be (-6)/(-15) + 4/(-10). Suppose 0 = 8*g + 314 - 58. What is the remainder when 39 is divided by (-1)/((36/g - d) + 1)?
7
What is the remainder when (-2280915)/(-93) - (-59)/1829 is divided by 73?
71
Let n(j) = 2*j**3 - 3*j**2 - 59*j + 206. Calculate the remainder when 4047 is divided by n(4).
47
Let w(i) = 16*i**2 - i - 5. Suppose 5 = n, -p - 9*n = -6*n - 13. Calculate the remainder when w(p) is divided by 13.
9
Let s(v) = -v**2 + 25*v - 87. Suppose 1 = 5*f - 2*i - 50, 2*i = -4*f + 48. What is the remainder when s(f) is divided by 33?
1
Let j = 884 - 191. Let u = -554 + j. What is the remainder when u is divided by 11?
7
Suppose 9*d + 100 = -17. Let j be d/((-65)/(-1400)) + -5. What is the remainder when 69 is divided by (2/(-3))/((80/j)/8)?
12
Suppose -138 - 10 = -2*u. Suppose 5*s + 79 = 4*m, 2*s =