 = f. Suppose -6*t + 4*t = -f. What is the remainder when t is divided by (-5)/(-3) + (-29)/(-87)?
1
What is the remainder when (348/24 - 13)*(-50380)/(-33) is divided by 18?
4
Let p = 91 - 79. Suppose -2*h + 30 = -p. Suppose -h - 11 = -4*j. What is the remainder when j is divided by 6?
2
Suppose -38*y - 1466 = -4506. Let g = -55 + y. What is the remainder when 63 is divided by g?
13
Calculate the remainder when 3646 is divided by (86/12 - (-10)/(-60)*-2)*8.
46
Let q be -4 - (-237 - (-5)/10*-2). Let a = q + -232. What is the remainder when 6 is divided by a?
0
Let z be 72/3*6/9 - 3. Let y(c) = -z - 10 - 18*c + 5*c - 14. What is the remainder when y(-10) is divided by 24?
21
Suppose 3*b = 5*p + 103, -17*b + p + 33 = -16*b. What is the remainder when 194 is divided by b?
8
Let f be (-5)/1 + -293 + 2. Calculate the remainder when 106 is divided by (18/4)/((-111)/f).
10
Let b = 3252 - 3248. Suppose 0*p + 3*p - 2127 = 0. What is the remainder when p/9 - b/(-18) is divided by 27?
25
Let w(f) = -f**2 - 5*f - 10. Let l be w(-4). Calculate the remainder when -477*2*1/l is divided by 16.
15
Suppose -157 = 2*i + 5*x, -3*i - 89 = -2*x + 194. Let q = -28 - i. What is the remainder when q is divided by 13?
11
Suppose -4*t + 76 = -4*w, 3*t - 3*w - 103 = -2*t. Suppose 268*o = 266*o + 6. Suppose 309 - 504 = -o*y. What is the remainder when y is divided by t?
19
Let d(j) = 2*j + 52. Suppose q - 102 = 18*q. Calculate the remainder when 193 is divided by d(q).
33
Suppose 8*x = 3*x + 15. Suppose -4*j = 5*v + 477, -288 = x*j - v + 84. Let o = 174 + j. Calculate the remainder when o is divided by 26.
25
Let d = -160 + 178. Suppose -29*p = d*p - 423. Calculate the remainder when 50 is divided by p.
5
Suppose 0 = -s - s + 20. Let i be 156/38 - s/95. Suppose -2*q = q - i*n - 60, -5*n + 135 = 5*q. What is the remainder when 93 is divided by q?
21
Let c = 174 - 169. Suppose -14 = -3*s + x, 0*s - 8 = 2*s - c*x. Calculate the remainder when s is divided by 1.
0
Suppose -38*o + 32*o = -1980. Suppose o = 5*x - 425. What is the remainder when x is divided by (-153)/6*4/(-6)?
15
Suppose 0 = -3*g + 452*h - 456*h + 3741, -2*h + 1243 = g. Calculate the remainder when g is divided by 34.
31
Let m(p) = -16*p - 401. Let u be m(-32). Let y(x) = x**3 - x - 89. Let w be y(0). Let k = w + u. Calculate the remainder when 83 is divided by k.
17
Let r(d) = 196*d - 647. What is the remainder when r(8) is divided by 44?
41
Calculate the remainder when 270 is divided by 1480/37 - 20/5.
18
Let g(k) = -k**3 - 14*k**2 + 75*k + 1217. What is the remainder when g(-13) is divided by 19?
16
Suppose -48 = -9*o - 12. Calculate the remainder when 1501 is divided by o.
1
Suppose -10452 = -15*j - 24*j. What is the remainder when j is divided by 66?
4
Let o(d) = -2*d**3 - 16*d**2 - 11*d - 7. Let m be o(-7). Calculate the remainder when 54 is divided by (-27)/(-18)*m/(-3).
12
Suppose -2*u = -458 - 412. Suppose 21*g = 342 + u. What is the remainder when g is divided by 17?
3
Let b(r) = r**3 - 18*r**2 + 32*r + 48. Let g be (-16)/(-24)*-4*-6. Calculate the remainder when b(g) is divided by 10.
8
Let r = 5325 - 5222. What is the remainder when r is divided by 60?
43
Let s = 872 - 855. What is the remainder when s is divided by (12*6/(-30))/(4/(-10))?
5
Let h(s) = s**3 - 9*s**2 - 276*s + 2763. What is the remainder when 1543 is divided by h(10)?
101
Suppose b = -7*b + 1224. What is the remainder when b is divided by 7722/1518 - 2/23?
3
Let q = 8444 + -8371. What is the remainder when 4377 is divided by q?
70
Let s(i) = -5*i**3 - 25*i**2 - 5*i - 18. Calculate the remainder when s(-11) is divided by 28.
27
Let z be (-4)/3*3 + 23. Let c(y) = 4*y + z*y**2 + 8 + 2*y**3 - 3*y**3 + 0. What is the remainder when c(19) is divided by 44?
40
Let p(s) = -177 - 179 - 171 + 5*s + 534 - s**3. Suppose 4*g - g = -4*c + 24, -3*g + 24 = -c. What is the remainder when g is divided by p(-2)?
3
Calculate the remainder when (1 + 0)/(13/(-904020)*-20) is divided by 94.
93
Let f = 1075 - 1015. Calculate the remainder when f is divided by 19.
3
Let d(v) = 9*v**2 - 309*v + 2475. Suppose 2004 = y + 3*y. What is the remainder when y is divided by d(12)?
60
Let l be -1 - -1 - (-7 - (-15)/3). Let n(v) = -7*v**2 - v**2 + l*v - 1 + 0 + 11*v**2. What is the remainder when n(3) is divided by 17?
15
Let z(v) = -8*v**2 - 307*v + 30. What is the remainder when z(-38) is divided by 31?
20
Let g = 4737 - 4726. What is the remainder when 1767 is divided by g?
7
Let c = -9 + 29. Suppose -6*n - 1806 = -c*n. Calculate the remainder when n is divided by (-1)/(2/176*-2).
41
Let h be (-312)/76 + (2 - 72/38). Calculate the remainder when (-46)/(h/2) - 14/14 is divided by 13.
9
What is the remainder when ((-9951)/155 - -5)/((-2)/60) is divided by 14?
12
Let j = 1391 - 1963. Let n = -544 - j. Calculate the remainder when 97 is divided by n.
13
Calculate the remainder when 386 is divided by 4/(-6)*(-23)/(0 - (-18)/27).
18
Calculate the remainder when (-26415)/(-35) - 62/(-217) is divided by 21.
20
Suppose 13*c - 3*n = 87696, -n = 4*c - 24233 - 2760. What is the remainder when c is divided by 30?
27
Let w(p) = -2*p**2 + 14*p + 2. Let k be w(7). Suppose 0 = k*g + 2*n - 8 - 16, -g + 8 = -3*n. Calculate the remainder when 49 is divided by g.
5
Suppose 0 = -15*r - 10*r - 82*r + 7169. What is the remainder when r is divided by (-75 + (-6 - -3))/(-2)?
28
Suppose -h + 337*w = 339*w - 113, -w = 0. What is the remainder when 1804 is divided by h?
109
Suppose 0 = -2*p + 8*p - 2*c - 21788, 0 = -3*c - 3. What is the remainder when p is divided by 17?
10
Let a = 1479 - 1219. Calculate the remainder when a is divided by 69.
53
Suppose -12*d - 57*d = 12*d - 75087. Calculate the remainder when d is divided by 30.
27
Let z(q) = -18*q + 348. Calculate the remainder when 5506 is divided by z(8).
202
Let k(z) = z**3 - 5*z**2 + 5*z + 2. Let r(v) = v**2 + 13*v + 33. Let p be r(-11). Suppose p*g - 2*g = 36. What is the remainder when 23 is divided by k(g)?
5
Suppose 2*b + 3*t = 7*t + 246, -3*b + 380 = 5*t. What is the remainder when 2629 is divided by b?
4
Suppose -891 = -42*p - 39*p. Calculate the remainder when 65 is divided by p.
10
Let z(y) = -147*y - 34 + 16*y**2 - 4*y**2 + 153*y + 5. Let v = 29 + -8. Calculate the remainder when z(4) is divided by v.
19
Suppose 156*o = 89*o + 15209. Calculate the remainder when o is divided by 79.
69
Let u = -29 + 31. Suppose -14 = -u*p + 24. What is the remainder when 12*((-52)/(-12) + 1) is divided by p?
7
Let g = -10126 + 10923. What is the remainder when g is divided by 21?
20
Suppose 0 = 13*d - 223 - 128. Let c(j) = j**3 + 22*j**2 + 11*j - 77. What is the remainder when c(-21) is divided by d?
25
Let i(v) = v - 16. Let c be i(10). Let g(k) = -k**3 - 5*k**2 - 4*k - 1. Let a be g(-4). Calculate the remainder when (-105)/c*a*(-12)/7 is divided by 14.
2
Suppose -313 = -4*j - x, 4*x - 330 = -5*j + 75. Calculate the remainder when 104 is divided by j.
27
Calculate the remainder when 1915 is divided by (16 + 144/(-8))/((-2)/477).
7
Suppose 5*t + 0*t = -b + 24, 0 = -b + 4*t + 15. Calculate the remainder when b/(-2 + 11/5) is divided by 48.
47
Suppose -4*g + 20 = g. Suppose 55*w = -11*w - 51*w + 1755. What is the remainder when w is divided by g?
3
Suppose 0 = -7*r - 2197 + 2407. Calculate the remainder when 78 is divided by r.
18
Suppose 29 = 2*f + 31, 0 = -4*d + 3*f - 569. Let i = 223 + d. Calculate the remainder when 232 is divided by i.
72
Suppose 0 = -1119*l + 1125*l - 12. Suppose 0 = s - 3*y - 14, l*y = 4*s + 7*y - 39. Calculate the remainder when 120 is divided by s.
10
Suppose 2 = -5*q + 22. Let h be -4 - 7*((4 - 2) + -3). Suppose 4 + 1 = d, q*o - 31 = -h*d. Calculate the remainder when 5 is divided by o.
1
Suppose -o = 2*d + 10 - 1, d + 3 = -2*o. Calculate the remainder when 40848/90 + o + (-4)/(-30) is divided by 23.
18
Let o = 7328 - 7302. What is the remainder when 229 is divided by o?
21
Suppose 172*u = -305*u + 84*u + 201216. What is the remainder when u is divided by 255?
2
Let s(n) = n**3 + 13*n**2 + 32*n + 12. Let u(v) = v**3 + 13*v**2 + 33*v + 13. Let p(q) = 2*s(q) - 3*u(q). What is the remainder when p(-10) is divided by 21?
14
Suppose 0 = -v - d + 42, 13*v - 173 = 9*v - 5*d. Calculate the remainder when 5882 is divided by v.