 + 120 = 2*k, 2*k = 4*g + 37 + v. Calculate the remainder when k is divided by 11.
6
Let c(w) = 4*w + 12. Suppose i = -2*n + 34, -3*i + 75 = -2*n + 101. Calculate the remainder when c(14) is divided by n.
4
Suppose 5*f = l + 267, -2*l - 255 = -5*f + 3*l. Let j(z) = z**3 - z**2 - z + 1. Let n be j(2). Calculate the remainder when f is divided by ((-3)/(-9))/(n/261).
25
Suppose 30*z - 572 = 4*z. Suppose 0 = 4*h - 3*i + 2, 0 + 6 = h - 4*i. What is the remainder when ((-18)/h)/(2/18) is divided by z?
15
Calculate the remainder when (-90)/((-1)/1 - 0) is divided by (-2522)/(-63) - (-2398)/(-75537).
10
Let r(d) = -d**3 - 7*d**2 + 71*d - 43. Suppose 0 = -4*w + 3*v - 8*v + 119, -2*w + 37 = -5*v. Calculate the remainder when w is divided by r(5).
2
Let j(o) = -8*o**2 + 55*o + 10. Let w be j(7). Let t(d) = d**3 + d**2 - 4*d - 1. What is the remainder when 64 is divided by t(w)?
18
Let p(j) = 190*j - 537. Calculate the remainder when p(9) is divided by 24.
21
Suppose 4*l = -5*k - 561 + 1031, 0 = 5*l + 2*k - 562. What is the remainder when 2192 is divided by l?
102
Let c(s) = -s**3 + 30*s**2 - 23*s + 3. Suppose 94*n - 265 = 89*n. Calculate the remainder when c(29) is divided by n.
18
Let d(f) = 3*f**2 - 2*f - 831. Let j be d(0). What is the remainder when 2*j/(-12) + (-25)/(-10) is divided by 6?
3
Let w(r) = -11*r**3 + 519*r**2 - 92*r + 109. What is the remainder when w(47) is divided by 6?
5
Let k(j) = 76*j**2 - 77*j**2 + 11*j + 2 - 10 - 6. Let w be k(4). Calculate the remainder when 69 is divided by (w/6)/((-10)/(-60)).
13
Suppose 3*s = -6*s + 612. What is the remainder when ((-188)/6)/(((-24)/(-4))/(-468)*4) is divided by s?
67
Suppose 0 = 23*k - 25*k + 60. Suppose -q - 3 + 4 = 0, 0 = 3*p - q - 350. Suppose -5*m + 4*m + p = 0. Calculate the remainder when m is divided by k.
27
Let l(j) = j**3 + 11*j**2 - 24*j - 54. Calculate the remainder when l(-8) is divided by 84.
78
Suppose 4*y + 3*k = -0 + 6, 0 = 3*y + 3*k - 3. What is the remainder when 503 is divided by (-1*(-36)/(-10))/(y/(-10))?
11
Let a be (-1035)/138*(-552)/10. Let h = a - 373. Calculate the remainder when h is divided by 24.
17
Let k(z) = 143*z**2 - 4*z - 3. What is the remainder when k(-1) is divided by 39?
27
Suppose -4*r - 3*h + 2606 = 0, -5*h - 903 + 933 = 0. What is the remainder when r is divided by 2 + 15/(-6)*-10?
26
Let q(k) = -k**3 - k**2 - 4*k + 20. Suppose -g = 2*l - 10, -11 = 3*g - 2*l - 1. What is the remainder when q(g) is divided by 3?
2
Let p(n) = -53*n - 2141. What is the remainder when 672 is divided by p(-42)?
77
Let q = 7423 - 7420. What is the remainder when 384 is divided by q?
0
Let w = -628 + 806. What is the remainder when w is divided by 146?
32
Let o(m) = -79*m - 1491. What is the remainder when o(-25) is divided by 39?
16
Let w be (-6)/15*-5*(-9)/(-6). Let c(q) = 13*q**2 - 7*q + 16. Let x = 18 + 20. What is the remainder when c(w) is divided by x?
36
Suppose -2*u = -0*u - 18. Suppose 27 = 3*w + l, -2*l = w + 2*l - u. Let a = 17711 - 17695. Calculate the remainder when a is divided by w.
7
Suppose -551*f + 5009472 = 102*f - 77*f. Calculate the remainder when f is divided by 10.
7
Let i(y) = y**3 + 12*y**2 + 4*y - 24. Suppose 2*a + r = -0*r - 24, 5*r = a + 1. Calculate the remainder when 97 is divided by i(a).
44
Suppose -5*o + 1276 = 5*u - 3669, 3*o + 5*u - 2953 = 0. Calculate the remainder when o is divided by 497.
2
Suppose z - 240 = -p, 2*p + z - 445 - 31 = 0. Let b = p - 232. Calculate the remainder when 43 is divided by b.
3
Suppose 238 = 2*l - 2*x, -x = -4*l + 4*x + 480. Let s(h) = 8*h**2 + h - 9. What is the remainder when l is divided by s(-3)?
55
Suppose -4*b + 2*i + 1683 = -805, 3176 = 5*b + 3*i. Suppose x - 4*x + 27 = w, -4*x - 34 = -w. Calculate the remainder when b is divided by w.
28
Let a = 6714 + -6588. Calculate the remainder when a is divided by 96.
30
Suppose 388*h - 393*h + 5*b + 995 = 0, 5*b = 35. What is the remainder when h is divided by 62?
20
Suppose -3*w - 3*y = -2208, -4*w - y + 2944 = y. Let h(n) = 40*n**3 - 2*n**2 - 24*n + 27. Calculate the remainder when w is divided by h(1).
39
Let y(b) = b**2 + 21*b - 31. Suppose n + n = -2*v + 28, 2*n = 4*v + 40. Let w = -11 + n. What is the remainder when y(-23) is divided by w?
0
Suppose 84 = -6*l + 18. Let n(w) = w**3 + 10*w**2 - 20*w + 20. What is the remainder when n(l) is divided by 15?
14
Suppose 0 = -6*q + 6. Suppose -5*t - 35 = -3*p, 0 = -t - 2 - 2. Suppose -23 = -p*o - 13. What is the remainder when o is divided by q?
0
Let i = -9580 - -19827. What is the remainder when i is divided by 42?
41
Let o(v) = -48*v + 64. Calculate the remainder when o(-5) is divided by 21.
10
Suppose d + 22 = -4*k, d + 2*d + 3*k + 30 = 0. What is the remainder when 18/48 - 38640/(-384) is divided by (-2)/d + 231/9?
23
Let u(v) = -684*v - 4703. Calculate the remainder when u(-7) is divided by 264/27 + (-2)/(-9).
5
Suppose -m - 7 - 9 = 0. What is the remainder when (-10)/(-15)*(-1 - m) + -2 is divided by (-1 + 0)/(15/(-90))?
2
Calculate the remainder when 38700 is divided by (5 + 46/(-4))*-2 + 3.
12
Let f(d) = -d**3 + 9*d**2 + 9*d - 5. Let l be f(10). Let h = l + 38. Let a = 11 + h. What is the remainder when a is divided by 18?
16
Let r(p) be the third derivative of -p**6/120 + 2*p**5/15 - p**4/6 - 5*p**3/3 + 116*p**2. What is the remainder when r(7) is divided by (3/9)/(1/9)?
2
Let d(y) = -263*y + 547. What is the remainder when 1088 is divided by d(2)?
17
Suppose 3*z = -2*a + 172, -4*a - 71*z + 358 = -72*z. Calculate the remainder when 184 is divided by a.
6
Suppose -4*p + 500 = -5*h + 123, -5*p = -5*h - 475. What is the remainder when 139 is divided by (p + 0)*(5 - (-108)/(-24))?
41
Let j = 1408 - 940. Calculate the remainder when j is divided by 115.
8
Suppose 2*t + 54 = 42. Let n(q) = q**2 + 16. Let o = 12 - -6. Calculate the remainder when n(t) is divided by o.
16
Let v(y) = -3*y**3 + 4*y**2 + 8*y + 3. Let j be v(-3). Calculate the remainder when (10 - 15) + (j - -1) is divided by 24.
20
Let a(d) = d**2 + 6*d + 12. Let c be a(-4). Calculate the remainder when -2 + (80/c)/((-8)/(-44)) is divided by 28.
24
Let t = -4 + 69. Suppose 2*s - 5 = t. Let z = s + -10. Calculate the remainder when z is divided by 4.
1
Suppose -13*d = 2*d - 30. Suppose -3*o + 41 + 13 = 0. Calculate the remainder when o is divided by d.
0
Let l(u) = 4*u - 52. Suppose -t - r + 9 = 0, 0*r + 3*r = -4*t + 41. Let o be l(t). Suppose -o*y + 17 = -51. Calculate the remainder when 30 is divided by y.
13
Let o = -22084 - -22140. Calculate the remainder when 6284 is divided by o.
12
Let a(j) = -2*j**3 - 18*j**2 + 4*j + 90. Calculate the remainder when 79 is divided by a(-9).
25
Let r(w) = w**3 + 4*w**2 - 2*w + 3. Let s be r(-4). Let j = s + -2. Let p(f) = -6*f**2 - 57*f - 3. What is the remainder when p(-9) is divided by j?
6
Let d(b) = -227*b - 215. Calculate the remainder when 2903 is divided by d(-1).
11
Suppose 667*b + 773 = 669*b + 5*m, -3*m - 2072 = -5*b. Calculate the remainder when b is divided by 36.
13
Let w be -1*16/6*6/4. What is the remainder when 47 is divided by -1*w/(8/50)?
22
Let m = 5071 - 4935. Calculate the remainder when 164 is divided by m.
28
Suppose 3*t + 4*a - 19 = 6*a, 2*t - 3*a = 21. Suppose f - 77 = 3*u, t*f + 9 = u + 256. Calculate the remainder when 164 is divided by f.
81
Let s(l) be the second derivative of -l**4/6 + 53*l**3/6 - 33*l**2 + 207*l. Calculate the remainder when 88 is divided by s(25).
7
Suppose -k - 5 = -11. Suppose 4*c + 3*p = -73, c - 63 = 4*c + 5*p. Calculate the remainder when c/(-6)*(14 - (-5 + 4)) is divided by k.
4
Let y be 42/4 - (-2)/(-4). Let r = -1034 + 1037. Let i = y - r. What is the remainder when 9 is divided by i?
2
Let y = -746 - -804. Suppose -f + 4 = -0*f. Suppose -52 = -f*o - 0. Calculate the remainder when y is divided by o.
6
Suppose 5*x + f - 279 = 0, 2*f - 3 = -5. Calculate the remainder when 4*(-11)/110*525/(-2) is divided by x.
49
Suppose 0 = d + 3*x - 95 + 11, 3*x = 2*d - 168. Suppose -4*u + d + 152 = 0. Calculate the remainder when u is divided by (-11)/33 + 92/6.
14
Let r be (1 + 8/(-6))*-15. Suppose 18*u + 11 = 47. Suppose v = -u + r. What is the remainder when 3 is divided by v?
0
Let v be 294/(0 + 3) + -3. Suppose 3*a + 15 = 0, 0 = -i + 4*a - 9*a + v. Suppose d - 