 when 5493 is divided by d.
12
Let i(k) = -k**2 + 131*k + 1310. Calculate the remainder when i(137) is divided by 447.
41
Let o(w) = w**2 + 13*w - 9. Let p(x) = x**3 + 15*x**2 + 24*x - 22. What is the remainder when o(-15) is divided by p(-13)?
1
Let i = -53 - -27. Suppose -5*n - 63 = 42. Let z = n - i. What is the remainder when 14 is divided by z?
4
Suppose -4*p - 5*v = -7866, -3*p + 5901 = -248*v + 252*v. What is the remainder when p is divided by 98?
97
Suppose 7*v + 57 = 155. Suppose -21 = -v*z + 735. What is the remainder when z is divided by 11?
10
Let z = 13 - 13. Suppose z*c - 5*y = -3*c + 177, -2*y = 0. Suppose -46 = -3*i + c. What is the remainder when i is divided by 9?
8
Let p(k) = -k**2 + 38*k - 35. Let x be p(12). Suppose -x = -3*a + 2*t, 2*a - 183 = -0*t + t. What is the remainder when a is divided by 32?
25
Let h = -46 + 40. Calculate the remainder when (2716/42)/((-2)/h) is divided by 14.
12
Suppose -54*c + 668 = -50*c. What is the remainder when c is divided by 9?
5
Suppose -3631 = -21*q + 338. What is the remainder when q is divided by 42?
21
Suppose 22*a - 18*a - 44 = 0. Suppose -26 = -4*w + 34. What is the remainder when w is divided by a?
4
Suppose -8*w = -7*w + 11*w. Suppose 4*r - 1326 = 28*q - 30*q, w = r - q - 330. What is the remainder when r is divided by 13?
6
Let s(t) = -t**2 + 19*t - 108. Let h be s(10). Let q = h + 31. Calculate the remainder when (-49)/(1/(0 - 1)) is divided by q.
10
Suppose 26*w - 6309 - 5415 = -414. Calculate the remainder when w is divided by 26.
19
Suppose 12*i - 322 - 830 = 0. Let d = 96 - i. Suppose -2*u = -u - 2*f - 17, -4*u + 2*f + 44 = d. Calculate the remainder when 27 is divided by u.
0
Let f(j) = -j**3 + 3*j**2 - 23*j - 2. What is the remainder when f(-3) is divided by 39?
4
Suppose 5*y - 4*y + 55 = -l, l + 51 = 3*y. What is the remainder when 146 is divided by -5 + 4 + l/(-6 - -3)?
10
Let u = -1 + -24. Let a = 28 + u. Suppose -4*c + 9*c - 403 = -a*k, -c - k = -81. What is the remainder when c is divided by 21?
17
Suppose -22*k - 343 = 27*k. Calculate the remainder when 1099/(-14)*-2 + k is divided by 11/4*2*4.
18
Let s = -82 + 77. Let t = 16 + s. Suppose 5*h + j - 269 = 0, -2*h - 2*h = 3*j - 213. Calculate the remainder when h is divided by t.
10
Suppose -2 = -5*i + 23. Suppose -74 = -i*f + 6. Let j(w) = -w**2 + 22*w - 66. Calculate the remainder when f is divided by j(4).
4
Let a(u) = 4*u**3 - 5*u**2 + 2*u + 2. Let k = 8 - 5. Let s = 51 - 27. What is the remainder when a(k) is divided by s?
23
Suppose -16*h + 22 + 666 = 0. What is the remainder when 513 is divided by h?
40
Let y(l) = -3*l**3 + 407*l**2 - 256*l - 169. What is the remainder when y(135) is divided by 41?
40
Let z = 26 - -25. Suppose 15*p = 12*p + 2*y + 38, 0 = -4*p + 3*y + z. Calculate the remainder when 165 is divided by p.
9
Suppose 3*l - 5*l + 306 = 0. Suppose -31*p + 5031 = 356*p. Calculate the remainder when l is divided by p.
10
Suppose 4*m - 365 + 49 = 0. Suppose 4*z + 0*p - m = 5*p, z - 23 = -2*p. Suppose 11 = c - l, -4*c + 5*l + 15 = -32. What is the remainder when z is divided by c?
5
Suppose 29 = 7*a + 8. Suppose -24 = -a*v - 3*t, 5*v - t + 0*t = 28. What is the remainder when 73 is divided by (74/v + 1)*36/24?
13
Suppose 759*s - 320 = 751*s. Calculate the remainder when 1798 is divided by s.
38
Let t be -2 + 0 + -916 + 8. What is the remainder when 12/(-2) + t/(-3 - 7) is divided by 43?
42
Suppose 3*u + 37*u - 5*u - 28595 = 0. What is the remainder when u is divided by 793?
24
Suppose -3*h = -4*v + 1433, -2*v + 4*h + 443 + 281 = 0. Calculate the remainder when v is divided by 31.
15
Suppose -3779 = 3*n + 2*h - 4643, -3*n + 801 = -5*h. What is the remainder when n is divided by 71?
69
Let t be (-51)/(-9) + (-4)/6. Suppose -t*l = 53 - 128. What is the remainder when (l/12)/((-7)/(-56)) is divided by 8?
2
Let y = -1888 - -1963. Suppose 0 = 2*d + s - 15, -2*s - 45 = -5*d + 3*s. Suppose -o = -27 + d. Calculate the remainder when y is divided by o.
18
Let u(c) = c**2 + 21*c - 44. What is the remainder when 248 is divided by u(3)?
24
Let u(i) be the third derivative of 5*i**5/24 - 2*i**3/3 - 3*i**2. Let t(j) be the first derivative of u(j). What is the remainder when 96 is divided by t(1)?
21
Suppose -30*q + 43*q = 26. What is the remainder when q/(-6 + 32/5) is divided by 2?
1
Suppose -66 = -r - 2*w, 3*w = -2*r + 140 - 8. Calculate the remainder when 96 is divided by r.
30
Suppose 214 - 1966 = -8*w. Suppose -3*a + 7*a - 16 = 0. What is the remainder when w is divided by (-6)/a*(-444)/18?
34
Suppose 8*i + 4*x = 4*i + 956, -5*i - 4*x = -1198. Suppose -26 = -7*y + 317. What is the remainder when i is divided by y?
46
Let b(h) = h**3 + 7*h**2 + 24*h + 105. What is the remainder when 960 is divided by b(-4)?
48
Let n = 57 - 45. Let s(d) = 82*d**2 + 2*d + 1. Calculate the remainder when s(-1) is divided by n.
9
Let d = 567 + -319. Suppose 5*i - 2*i = -2*p + 90, d = 5*p - 4*i. Calculate the remainder when p is divided by 48.
0
Suppose -15*s + 20*s = -90. Calculate the remainder when 36 is divided by 30/6 + -2 - s.
15
Suppose 33*f = 25*f - 1296. Let t = f + 189. What is the remainder when 130 is divided by t?
22
Let a(t) = 5*t - 14. Let g = 14 - 9. Let l be g/((-20)/(-12)) - -2. Calculate the remainder when a(l) is divided by 6.
5
Let x = 14412 - 14340. Suppose 3*i - 2 = 7. What is the remainder when x is divided by i?
0
Let n = -191 - -315. Suppose 754 = 10*k + n. What is the remainder when k is divided by 32?
31
Let n = -6306 + 6380. Suppose 0*i = 5*i - 15. Suppose -27 = -i*o + 30. Calculate the remainder when n is divided by o.
17
Let y = 4557 + -887. What is the remainder when y is divided by 18?
16
Let d = 9779 - 7648. What is the remainder when d is divided by 162?
25
Suppose -77 = -26*t + 33*t. Let o = t - -14. Calculate the remainder when 18 is divided by o.
0
Let z(p) = -95*p + 782. What is the remainder when 503 is divided by z(8)?
19
Let d = -194286 + 194345. Let h(l) = -4*l**3 + 6*l**2 - l - 5. What is the remainder when h(-4) is divided by d?
56
Suppose 7*x + 240 + 1048 = 0. Let a = -167 - x. Let l(r) = r - 1. What is the remainder when a is divided by l(6)?
2
Suppose -4*z + 71041 = 2*x + 16177, 2*z + 3*x - 27440 = 0. Calculate the remainder when z is divided by 17.
12
Let c = 58 + 918. What is the remainder when c is divided by 141?
130
Let u = -14800 - -14958. Calculate the remainder when u is divided by 16.
14
Let h = -2255 - -2557. Calculate the remainder when h is divided by 98.
8
Suppose 5*j + 2*f - 1145 = 0, -5*f + 1130 = -208*j + 213*j. What is the remainder when j is divided by 47?
43
Let o(s) = 67*s - 15794. Suppose 11 = a - 3*d - 0*d, -3*a = -4*d - 33. Calculate the remainder when o(237) is divided by a.
8
Let r(g) be the first derivative of 3*g**4/4 + 5*g**2/2 - 2*g - 62. Suppose 0 = -w - w + 22. Calculate the remainder when r(2) is divided by w.
10
Suppose 76*t = 5391 + 15357. What is the remainder when t is divided by 265?
8
Let l = -506 + 503. Calculate the remainder when 4 + 171 - (-1)/(l/(-15)) is divided by 31.
25
Let h = 69 + -83. Let a(v) = v**3 + 14*v**2 - 15*v - 147. What is the remainder when a(h) is divided by (16/12)/((-2)/(-33))?
19
Calculate the remainder when ((1/7)/(165/385))/((-3)/(-10683)) is divided by 132.
131
Suppose 5*s = 5*h - 240, -105*h + 108*h - 84 = -3*s. Let o(v) = 64*v**2 + 2*v - 1. What is the remainder when o(2) is divided by h?
31
Suppose -70*h = -83*h + 78. Let r(x) = x**3 - 3*x**2 - 8*x - 29. What is the remainder when 91 is divided by r(h)?
29
Suppose -3*a + 2440 = 7. Calculate the remainder when a is divided by 202.
3
Let h = 698 - 618. Suppose -3*r - h + 122 = 0. Calculate the remainder when (-2)/8 + 314/8 is divided by r.
11
Suppose 29*r = 45*r - 320. Calculate the remainder when 195 is divided by r.
15
Let a = 47 - -84. Let b(y) = y**3 - 139*y**2 - 5273*y - 60. What is the remainder when a is divided by b(-31)?
32
Suppose -61*w = -174 - 1351. What is the remainder when 7098 is divided by w?
23
Let s = -20 + 0. Suppose h - 5*r - 22 = 0, 3*h - 3*r = -8*r - 34. What is the remainder when 25 is divided by (-6)/10 + (456/s)/h?
4
Let r = -283 - -478. Let f = 211 - r. Calculate the remainder when 44 is divided by f.
12
Suppose 4*j - 5*h = 763, 5*h - 96 = -2