15. Suppose -18*k = -8*k + q. Calculate the remainder when ((-451)/(-33))/(k/(-9)) is divided by 4.
1
Let r = -2299 + 2325. What is the remainder when 386 is divided by r?
22
Let m(c) = -2*c**3 + 10*c**2 + 168*c + 28. What is the remainder when 1771 is divided by m(-7)?
7
Suppose q = -2*j + 22, -j = -2*q + 4*j + 44. Let n = -10805 + 10873. Calculate the remainder when n is divided by q.
2
Let k(x) = x**2 + 2*x - 2. Calculate the remainder when k(4) is divided by ((-36)/6)/1 - (8 - 6 - 23).
7
Let i(p) = 2*p**3 - 40*p**2 - 42*p - 3. Let x be i(21). Let b(q) = -53*q + 17. What is the remainder when b(x) is divided by 9?
5
Let i be 2/4 - 3 - (-2)/(-4). Let o(m) = -5*m**3 - 6*m**2 - 6*m - 1. Let a be o(i). Suppose -a + 38 = -4*z. Calculate the remainder when 43 is divided by z.
13
Let w(a) = -2*a**3 + 5*a**2 + 2*a - 6. Let v be w(-3). Let h = v + -85. Calculate the remainder when ((-7866)/95)/(h*2/(-10)) is divided by 52.
51
Suppose -1724 - 8468 = -26*a. What is the remainder when a is divided by 20?
12
Let t be 4537/65 - (-3)/15. Suppose 5*k - t = -2*k. Calculate the remainder when k is divided by 4.
2
Let t be 2/((-306)/(-76) - 4). Suppose 3*h + t = 8*h - 4*s, -2*h - s = -33. Suppose -1 = r - 7. What is the remainder when h is divided by r?
4
Let j be 11/(176/(-60)) - (-2)/(-8). Let y be (-6)/j*-5*(-8)/30. Suppose -2*o + 23 = f, o + 4*f - y = 13. Calculate the remainder when 43 is divided by o.
10
Let v(h) = h**3 - 3*h**2 - 5*h - 6. Suppose 83*d - 18 = 5*o + 84*d, 2*o + 4*d = 0. What is the remainder when v(5) is divided by (50/(-15))/(o - (-57)/18)?
3
Suppose 5*x = -n + 188, -2*x + 86 = -2*n + 6. What is the remainder when 546 is divided by x?
14
Let k = -3580 - -3661. What is the remainder when k is divided by 25?
6
Let b = 7309 + -814. What is the remainder when b is divided by 125?
120
Suppose 0*g = -g - 2*g. Suppose g = 2*n + r - 68, 3*n + 0*n - 80 = 4*r. Calculate the remainder when n is divided by 22.
10
Let t = 864 - 825. Let i(d) = -146*d + 1. What is the remainder when i(-1) is divided by t?
30
Calculate the remainder when 277 is divided by (4 + (-315)/60)/(1/(-4)).
2
Let t(n) = 1071*n**2 - 26*n - 19. What is the remainder when t(-1) is divided by 32?
22
Let c be (4 + -4 + (-1)/2)*146. Let s = c - -107. What is the remainder when s is divided by 4?
2
Let v be 32/(-24)*(-1)/(-4)*6. Let q(k) = -19*k + 11. Calculate the remainder when q(-2) is divided by (-162)/(-12) - v/(-4).
10
Suppose 0 = 4*a + 64 - 632. Let s(n) = 6*n**2 + 24*n - 18. Calculate the remainder when a is divided by s(-5).
10
Let k = -71 - -74. Suppose 3*s - w - k = 0, w + 9 = 5*s - 2*w. Suppose s = 2*d + 2*d - 64. Calculate the remainder when d is divided by 10.
6
Suppose 0 = -407*l + 413*l - 2574. Let w = l + -407. What is the remainder when 75 is divided by w?
9
Let u = 71 + -64. Suppose -20 = -4*x + 4*z - u*z, -5*z = 5*x - 25. What is the remainder when 43 is divided by x?
3
Let s(m) = 5*m**2 + 352. Calculate the remainder when 1059 is divided by s(0).
3
Suppose 268 = 4*u + 8. Suppose -57*h = -u*h + 4272. What is the remainder when h is divided by 67?
65
Let s = 19196 - 19113. Calculate the remainder when 2816 is divided by s.
77
Let p(l) be the first derivative of -5*l**2/2 - 30*l - 18. Let q(t) = 3*t**3 - 2*t**2 - 1. Calculate the remainder when q(2) is divided by p(-8).
5
Let a = 4481 + -4365. Calculate the remainder when 685 is divided by a.
105
Suppose 342 = 14*p - 92. Let o be (1*0/3)/2. Suppose -g = -2*f - 69, o*g + 289 = 5*g + 4*f. Calculate the remainder when g is divided by p.
30
Suppose 7*p - 13 = 4*p - c, p - 2*c = -5. Suppose -2*a = p*a - 125. Suppose 34662 = 229*w + 31685. What is the remainder when a is divided by w?
12
Let u(g) = -g - 1. Let w be u(-5). Suppose -w*d + 282 - 18 = 0. Let k = 2060 + -2043. Calculate the remainder when d is divided by k.
15
Let k(c) = -c**3 + 28*c**2 + 113*c - 4282. Let g be 58 + 0 + (0 - 0). Let d = -30 + g. What is the remainder when d is divided by k(26)?
4
Let s(a) = 15*a + 186. Let y be s(-13). What is the remainder when 50 is divided by -6*(33/y + 3)?
2
Let n(b) = b**3 + 7*b**2 - 10. Let c be n(-7). Let l = -157 + 233. Calculate the remainder when l is divided by 40 - ((-14)/c - 10/25).
37
Let b be 2/(-9) + (-888)/(-108). Suppose 3*s - b = 10. Calculate the remainder when 46 is divided by (s/12)/(2/48).
10
Let y = -391 - -397. Let i = y - -29. What is the remainder when 67 is divided by i?
32
Calculate the remainder when (70 - 1)*(1932/63 + -19) is divided by 295.
215
Suppose 4*m + 0*m - 28 = 0. Suppose 3*l = 15, 4*o - 61 = -m*l + 2*l. Calculate the remainder when -66*(-5)/60*6 is divided by o.
6
Suppose -361 - 1162 = -70*g + 927. Let l(n) = -8*n + 13. Calculate the remainder when l(-7) is divided by g.
34
Let b(g) = 9*g - 43. Let z be b(5). Let d be (-63)/(-28) - 1/4. Suppose -2*r + 284 = z*y, 0*r + 304 = d*r - 2*y. What is the remainder when r is divided by 15?
12
Let i(x) = -x**3 - 44*x**2 - 161*x - 39. What is the remainder when 424 is divided by i(-40)?
0
Let s be (5 + 81/6)/((-4)/(-8)). Suppose -s = 6*v - 67. Calculate the remainder when 13 is divided by v.
3
Let c(d) = -d**3 + 12*d**2 + 24*d - 252. What is the remainder when 249 is divided by c(12)?
33
Let c(h) = 2*h**2 - 8*h. Suppose 7*r + 26 = 166. What is the remainder when -136*(15/r)/((-3)/2) is divided by c(6)?
20
What is the remainder when (-81 + 165)*338/8 is divided by 24?
21
Suppose -r - r - 4*x = -808, -4*r + 1586 = 3*x. Calculate the remainder when r is divided by 185.
22
Let u(w) = -w**3 + 11*w**2 + 13*w - 13. Let j be u(12). Suppose 2*s - 2 = 2. What is the remainder when (36/72)/(j/(-38)) is divided by s?
1
Suppose 0 = 5*a - 5, -11*a = -4*i - 12*a + 2821. What is the remainder when i is divided by 161?
61
Let w = 13059 - 11864. Calculate the remainder when w is divided by 19.
17
Suppose -591 = -4*q - 5*c, 360*q - 356*q = 4*c + 600. Calculate the remainder when 736 is divided by q.
140
Let w(l) = 17*l + 167. Suppose 28*b = 26*b. What is the remainder when w(b) is divided by 13?
11
Suppose 3*l + 10*z - 9*z - 834 = 0, 5*l - 5*z - 1370 = 0. Let k = l - 236. What is the remainder when 160 is divided by k?
37
Let x(b) = 7*b**2 - 88*b - 93. Calculate the remainder when 749 is divided by x(14).
44
Suppose 1 = u, 4*z - 833 = -u - 272. Suppose 0 = -5*d + 40 + z. What is the remainder when d is divided by 21?
15
Let a = -11196 - -11204. Let b(l) = -32*l + 1. Let k be b(-1). Let u = k + 22. What is the remainder when u is divided by a?
7
Suppose v = -3, 0*i - 2*v - 40 = 2*i. Let j = 48 - i. Suppose -4*w = -4*d - 9*w + 63, 3*d = 3*w + 81. Calculate the remainder when j is divided by d.
21
Suppose 204*o - 418 = 161*o + 356. What is the remainder when 212 is divided by o?
14
Suppose 4*a - 19*a + 44*a = 203. Calculate the remainder when 6675 is divided by a.
4
Let r(h) = h**2 - h - 20. Let c be r(-4). Suppose 6*s - 12 = -c*s. What is the remainder when 67 is divided by 4 + (37 + -16 - 1*s)?
21
Let n(k) = -2*k**2 - 4*k + 245. What is the remainder when 460 is divided by n(-12)?
0
Suppose 0 = -3*v + 5*u + 88, -2*u = 2*v - 48 - 32. Suppose 5*z + 304 = 814. Calculate the remainder when z is divided by v.
30
Let h(c) = -18*c - 25 - c**3 + 17*c + 2 + 0*c**3 - 5*c**2. Let m = 254 + -163. What is the remainder when m is divided by h(-6)?
15
Suppose -6*j + 3*j - 4*h = -132, j + 2*h = 42. Let t(w) = -w**2 - 10*w - 7. Let f be t(-6). Calculate the remainder when j is divided by (3 - (-18)/(-3)) + f.
6
Let i = -989 + 737. Let g = 264 + i. What is the remainder when 66 is divided by g?
6
Let t(c) = c**2 + 13*c - 61. Let i(f) = f + 9. Calculate the remainder when t(4) is divided by i(-8).
0
Suppose 0 = -3*x - 0*b - 5*b + 100, -62 = -2*x - b. Suppose -29*o = -x*o + 263. Suppose -9*d + o = -61. Calculate the remainder when d is divided by 8.
4
Let o = 39 - 24. Suppose 22 = 21*f - 20*f. Calculate the remainder when f is divided by o.
7
Suppose -2*v = -2*d - 1234, 2*v = 3*d - 53 + 1907. Let b = 639 + d. Calculate the remainder when 87 is divided by b.
11
Suppose -969 = -17*r - 901. Let a be 4/3 + 4/6. Suppose 0 = 5*n - 5*b - 50, 3*b + r = -a*n + 3*n. Calculate the remainder when 50 is divided by n.
11
Let q(j) = -j**2 - 14*j + 117. Calculate the remainder when 84 is divided b