 Calculate the remainder when (12 - (-1960)/64) + 3/p is divided by z.
20
Suppose -20*a - 26*a + 35120 = -26*a. Calculate the remainder when a is divided by 115.
31
Let p(t) = -5*t**2 + 281*t + 346. What is the remainder when 370 is divided by p(57)?
16
Let w(f) = -f**3 - 5*f**2 + 14*f + 5. Let q be w(-7). Suppose -j = 5*v + 215 - 30, -q*j = 0. What is the remainder when 71 is divided by v*(-3)/12 + 6/(-24)?
8
Let x(s) = 603*s - 95. What is the remainder when x(1) is divided by 56 + -8 - (1 - (-1 + 5))?
49
Let s(v) = 11*v**2 - 70*v - 72. Calculate the remainder when 384 is divided by s(8).
24
Let d(p) = -16*p**3 - p**2 - 4*p - 3. Suppose 0 = -3028*c + 3032*c - 616. What is the remainder when c is divided by d(-1)?
10
Suppose -3*h + 6 = 0, -v - v + 114 = -h. Let m = 17522 - 17516. What is the remainder when v is divided by m?
4
Suppose -2*q - 4*z + 36 = -0, -3*z = -5*q + 25. Suppose -5*g = -f - 81, -3*g - 40*f = -42*f - 57. What is the remainder when g is divided by q?
7
Suppose 1356 = -29*w + 56*w - 966. Calculate the remainder when 8339 is divided by w.
83
Let l = 4028 - 3989. Calculate the remainder when l is divided by 24.
15
Let r be (35/(-10))/((-4)/8). Suppose -r*a = 3*a - 210. What is the remainder when 62 is divided by a?
20
Suppose 2*p - 520 = -p + 2*j, 0 = -5*p - 2*j + 872. Let t = p - -31. Calculate the remainder when t is divided by 13.
10
Let a(b) = -b**3 + b**2 - b + 1. Let f(y) = 4*y**3 + 2*y**2 - 5*y + 5. Let n(s) = 3*a(s) + f(s). Calculate the remainder when 37 is divided by n(-6).
17
Let v(g) = -3*g**2 - 116*g - 110. What is the remainder when v(-36) is divided by 19?
7
Suppose -4 = -4*l, 0 = 2*r - l + 9 - 34. Suppose -o - 32 = -5*x, 0*x + 3*o - 18 = -4*x. What is the remainder when r is divided by x?
1
Let a(j) = j + 4. Let w be a(0). Let h(x) = -x**3 + 4*x**2 + 3. What is the remainder when (-20)/44*-11 + 5 is divided by h(w)?
1
Let p(i) = 44*i + 243. Let f = 18 - -62. Calculate the remainder when f is divided by p(-5).
11
What is the remainder when 1288 is divided by 9414/162 + (-8)/(-9)?
49
Let i(p) = p**2 - 6*p + 7. Let l = -552 + 562. Calculate the remainder when 93 is divided by i(l).
46
Let k(s) = 2*s**3 + 16*s**2 - 3*s + 27. Let r be k(-8). Suppose 19*y = 16*y + r. What is the remainder when 127 is divided by y?
8
Let w(m) = 388*m + 2429. Calculate the remainder when 486 is divided by w(-6).
82
Suppose -39 = -5*x - 3*r + 464, -3*r - 239 = -2*x. Let p = -58 - -85. What is the remainder when x is divided by p?
25
Let w = -29 - -29. Suppose 17*z + 92 - 551 = w. Suppose -44 - 31 = -5*u. What is the remainder when z is divided by u?
12
Let h(y) = y**3 + 117*y**2 + 114*y - 197. What is the remainder when 603 is divided by h(-116)?
8
Suppose -59*j + 25160 = 126*j. Calculate the remainder when 450 is divided by j.
42
Let g(n) = -2*n**2 - 37*n + 180. What is the remainder when 107 is divided by g(3)?
5
Let n(y) = -y**3 - 52*y**2 + 63*y + 665. Suppose -3*t - 50 = -v - 2*t, -5*v = -4*t - 246. What is the remainder when n(-53) is divided by v?
43
Let q(d) = 20*d**2 + 5*d + 4. What is the remainder when 6/(-8) + (-518)/(-8) is divided by q(-1)?
7
Let x(u) = 7*u**2 + 45*u - 14. Let q be 93/(-12) + (5 - 51/12). Suppose -w - 5*t = -38, -5*t + 17 = -w + 85. What is the remainder when w is divided by x(q)?
11
Let n(v) = v**3 - 86*v**2 - 290*v + 341. Calculate the remainder when n(90) is divided by 6.
5
Suppose -12764*w = -12956*w + 8832. Suppose -3*z + 8*z = 4805. Suppose 5*y - z = -46. Calculate the remainder when y is divided by w.
45
Let d be 3 + (0 - 8 - -7). Suppose -147 = -3*j - 3*v, -v - d*v - 117 = -3*j. Calculate the remainder when 127 is divided by j.
39
Let t(z) = -17 - 6*z - z**2 - 8 + 54 - 17. Let a be t(-7). Calculate the remainder when 85 is divided by 31 + (-2 - -5 - a).
27
Let s(x) = -930*x - 2440. Calculate the remainder when s(-6) is divided by 143.
137
Suppose 35*w - 1824 = 311. Calculate the remainder when 1113 is divided by w.
15
Suppose 0 = 4*m - 217 - 403. Suppose m + 194 = 4*w + q, w + 5*q - 111 = 0. Calculate the remainder when w is divided by 4.
2
Let k(b) = -4*b - 77 + 17 + 16 + 7 + 12*b**2 - b**3 + 18. What is the remainder when k(9) is divided by 16?
12
What is the remainder when ((-1)/9)/(36/(-66420)) is divided by 35?
30
Let i be (-16)/6*3/(-4). Suppose x - i = 3*n, -x + 2 + 0 = n. Suppose y - x*m = 3*m - 6, -2*y = -m - 15. Calculate the remainder when 16 is divided by y.
7
Let j = -1 + -2. Let w(d) = 35*d + 2812. What is the remainder when (2/j)/((-8)/564) is divided by w(-80)?
11
Suppose 8*g - 7 - 89 = 0. Let v(s) = -7 + 3*s**2 + 4*s**2 - 6*s**2 - 1 + s. What is the remainder when v(5) is divided by g?
10
Suppose -q + 3*c - 3 = 0, 2*q = -5*c + 14 + 13. Let s(i) = -4 - i**3 + 5*i + 6*i**2 - 2 - i. What is the remainder when 35 is divided by s(q)?
17
Let i be 4/(-6) + 269/(-6)*-2. Let w = i + -92. Calculate the remainder when 42 is divided by (15 - -3)/(w - -5) + 2.
9
Suppose 0 = -2*d + 5 + 43. Let p(h) be the third derivative of -h**5/60 + 5*h**4/8 - 6*h**3 + 20*h**2 - 3. What is the remainder when d is divided by p(10)?
10
Suppose 174 = -2*c + 4*c. Let g = c - 34. Calculate the remainder when g is divided by (6/21)/(7/343).
11
Suppose -4*c + 776 = -5*u + 7*u, 4*c + 744 = 2*u. What is the remainder when u is divided by 76?
0
Suppose 4*n + 3 - 7 = 0. Let x = 3857 - 3853. Calculate the remainder when 22*(n + (x - 3)) is divided by 7.
2
Suppose -555 = -27*x + 1470. Calculate the remainder when 232 is divided by x.
7
Let i(t) = t**3 - 8*t + 1. Suppose -53*k - 40 = -49*k. Let m(z) = -z**2 - 8*z + 24. Let v be m(k). What is the remainder when i(v) is divided by 12?
9
Let a be ((-16)/(-20))/(4/1370). Suppose 5*p = -q - a, 5*p + 7*q - 5*q = -278. Let g = 29 - p. Calculate the remainder when g is divided by 17.
15
Suppose 133*j = 436 - 19 + 1445. Let l(p) = 12*p**2 - 5*p - 4. What is the remainder when l(-5) is divided by j?
13
Suppose -1482 + 12472 = 70*i. Calculate the remainder when i is divided by 36.
13
Let c(w) = -15*w + 259. Let b(d) = 9*d**2 + 7. Let i(p) = -26*p**2 - 20. Let u(v) = -17*b(v) - 6*i(v). What is the remainder when u(2) is divided by c(17)?
1
Let f(c) = 246*c - 5895. Calculate the remainder when f(37) is divided by 23.
10
Suppose 76*n - 80*n = -60. Suppose -2*d + 178 = 4*u, -4*u = n*d - 20*d + 445. Let w = 42 + -27. Calculate the remainder when d is divided by w.
14
Suppose 4*d - 5*m - 867 = 0, 3*d + 3*m = -2*d + 1056. Let b = 105791 + -105737. Calculate the remainder when d is divided by b.
51
Let t(k) = 414*k + 2687. What is the remainder when t(-6) is divided by 71?
61
Let z = 24 - 14. Let j(a) = 7*a - 11. Calculate the remainder when j(z) is divided by (0 + 2)/(-2 - (-42)/20).
19
Suppose 0*s - 3*y + 18 = -3*s, -3*y + 6 = s. What is the remainder when 83 is divided by (0 + 5 - -83)*s/(-6)?
39
Suppose 55*v - 336 = 52*v. Let c = v + -109. What is the remainder when c/4*8*6 is divided by 26?
10
Suppose 5*l + 131*l = 58616. Calculate the remainder when l is divided by 109.
104
Let i(m) be the third derivative of -m**5/30 + m**4/12 + 3*m**3/2 - 15*m**2. Let o be i(-5). Let s = 108 + o. Calculate the remainder when s is divided by 12.
9
Let x(l) = l**2 - 2*l + 10. Let h be x(6). Suppose 11*r - 18*r + 1988 = 0. What is the remainder when (17/h)/(2/r) is divided by 18?
17
Let x(k) = 2*k**3 + 17*k**2 + 4*k + 29. What is the remainder when 502 is divided by x(-8)?
14
Let o = 5299 - 4729. Calculate the remainder when o is divided by 29.
19
Suppose -u + 22 = t, 2*t - 84 = -32*u + 28*u. Calculate the remainder when 316 is divided by u.
16
Let r = -6753 - -6768. What is the remainder when 984 is divided by r?
9
Suppose 5*n - 2*l + 1713 = 0, -4*n + 2*l + 688 = -6*n. Let s = n + 362. What is the remainder when s is divided by 8?
3
Let v(f) = 2*f + 28. Let t(c) = -8*c**2 - 4*c + 3. Let l be t(1). Let b(r) = 4*r - 1. What is the remainder when b(5) is divided by v(l)?
9
Suppose z - u + 451 = -0*u, 0 = 2*z + 7*u + 884. Let i = -430 - z. Calculate the remainder when 71 is divided by i.
14
Suppose -5*k + 24 = 14. Suppose k*n + 15 = 21. Suppose 0 = -2*u + 5*a + 7, -2*a + 1 = -n*a. Calculate the remainder when 11 is divided by u.
0
Suppose 0 = 4*i - 16 - 80. Let n = i - 10. Calculate the remainder when ((