when 277 is divided by (-55)/(-44)*(-2 - (3 - 33))?
32
Let u(a) be the third derivative of 1/120*a**6 + 0 - 5*a**2 + 11/60*a**5 + 1/3*a**4 + 0*a + 5/2*a**3. Calculate the remainder when u(-10) is divided by 12.
11
Let y(i) = -i**3 - 8*i**2 + 3*i + 45. Calculate the remainder when y(-8) is divided by 4.
1
Let f = -325 + 347. Calculate the remainder when 125 is divided by f.
15
Suppose 37*v + 102 = 40*v. Calculate the remainder when v is divided by 15.
4
Suppose 0 = 4*v - 16, 0*v + 22 = 2*z - 4*v. Let n = 85 + 28. Calculate the remainder when n is divided by z.
18
Let p(t) = t**3 - 3*t**2 + t - 4. Suppose 0*a + a = 2*s + 10, -s - 14 = -5*a. Suppose 0 = n - a*n + 6. What is the remainder when p(4) is divided by n?
4
Suppose 19 + 1 = -5*h. Let k(b) = -b + 1. Let c be k(h). Suppose 4*u - w = -0*u + 315, 425 = c*u + 5*w. Calculate the remainder when u is divided by 27.
26
Let t(w) = w**3 - 5*w**2 - w. Let u be t(5). Let y(a) = -a**3 - 6*a**2 - 6*a + 6. Suppose -s + 31 = -32. What is the remainder when s is divided by y(u)?
8
Suppose 2*m = 50 - 18. What is the remainder when 222 is divided by m?
14
Let o = -15 + 22. Let l = -1 - -17. Suppose 3*i - 16 = 4*q, 0 = -2*i + 4*q - 4 + l. Calculate the remainder when o is divided by i.
3
Let f(k) = -2*k**3 - 5*k**2 - 2*k - 4. Let a be f(-4). Let l(y) = -y**2 - 12*y. What is the remainder when l(-10) is divided by (11/4)/(13/a)?
9
What is the remainder when 162*(-17)/((-357)/28) is divided by 23?
9
Suppose -h + 3*w + 17 = 4*h, -5*h = -5*w - 15. What is the remainder when h/((-8)/6)*(-166)/2 is divided by 50?
49
Let f = -346 + 348. Suppose -2*v = -4*h + 14, -3*h + 3*v + v = -23. Calculate the remainder when f is divided by h.
0
Suppose 3*g = -6, -4*m = 3*g + 1 - 11. Suppose -30 = -2*a + 3*j, -3*a + 5*j = -m*a - 11. Calculate the remainder when a is divided by 3.
0
Let f = -97 + 93. Calculate the remainder when 80 is divided by ((-18)/f + -5)*-28.
10
Let v = 741 + -570. Calculate the remainder when v is divided by 18.
9
Suppose -4*u + 4*h + 2056 = 0, 2*u = -2*h - 3*h + 1021. Suppose 0 = -y + 10*y - u. Calculate the remainder when y is divided by 10.
7
Let z(n) = n**2 + 11*n + 8. Let x be z(-11). Let f = -3 + x. Calculate the remainder when 14 is divided by f.
4
Suppose -6*q + 2*q = -4. Let u(d) = -2*d - 3. Suppose -v + 3*x - 10 = 4*v, 0 = 2*v - 4*x + 4. Calculate the remainder when u(v) is divided by q.
0
Let o(m) = m**3 + 2*m**2 - 20*m - 2. Calculate the remainder when o(6) is divided by 34.
30
Let c be (-237)/((5 - 3) + -5). Suppose -4*k - 5*v + c = 0, v + 7 = k - 2*v. Calculate the remainder when (2/6)/(4/516) is divided by k.
11
Suppose 0 = -87*a + 97*a - 2240. What is the remainder when a is divided by 60?
44
Let f be (6/(-15))/(2/(-20)). Suppose -f*w + 4 = -4. What is the remainder when 74 is divided by w - (-51)/(-6)*-2?
17
Suppose -54*t + 7503 = -13*t. What is the remainder when 368 is divided by t?
2
What is the remainder when 6/(-4)*-2*(-2790)/(-27) is divided by 26?
24
Let n = 304 + 301. What is the remainder when n is divided by 38?
35
Suppose 0 = 14*y - 480 - 220. Calculate the remainder when y is divided by 18.
14
Let x be 0 + -2 + -5 + (96 - 1). Let g = 95 - x. Calculate the remainder when 11 is divided by g.
4
Calculate the remainder when (42/15 - 3) + (-1386)/(-30) is divided by 24.
22
Let s(t) = 23*t**2. Let u be ((-1)/(-4))/(4/(-16)). Calculate the remainder when 113 is divided by s(u).
21
Calculate the remainder when (-804)/(-2) - (-24 + 17) is divided by 59.
55
Let d = 6 - -26. Let w = d - 19. Suppose -a + 12 + 12 = 0. Calculate the remainder when a is divided by w.
11
Suppose t + 295 = 6*t. Calculate the remainder when t is divided by ((-9)/15)/((-5)/200) - 4.
19
Let p(r) = -78*r - 194. What is the remainder when 118 is divided by p(-3)?
38
Let q be 10/25 - 536/(-10). Suppose 4*u - q = 2*u. Suppose 20 = 17*m - 99. Calculate the remainder when u is divided by m.
6
Let h(x) = x - 10. Let t be h(13). Let a = 10 - t. Calculate the remainder when 17 is divided by a.
3
Let v(l) = 142*l - 273. What is the remainder when v(3) is divided by 4?
1
Let f(u) = -u**3 + 8*u**2 + 4*u + 14. What is the remainder when 196 is divided by f(7)?
14
Suppose 4*v - 66 = -u, 23*u - 20*u - 153 = -3*v. Calculate the remainder when u is divided by 45.
1
Suppose 0*s + 2*s = -60. Let l = -4 + 2. What is the remainder when 9 is divided by (l/(-3))/((-4)/s)?
4
Suppose -3*m - 6*m = -9. Suppose k - m = 13. Calculate the remainder when 69 is divided by k.
13
Let s(k) = k**2 + 3*k + 8. Let l be s(7). Suppose 4*x = x + l. What is the remainder when 77 is divided by x?
25
Let m = -48 - -67. Let n be -3 - (5 - -3)*-1. Suppose n*f - 241 - 124 = 0. Calculate the remainder when f is divided by m.
16
What is the remainder when 153 is divided by 0 - -4 - (-560)/56?
13
Suppose 7*r = 684 + 415. What is the remainder when r is divided by 23?
19
Suppose m + 313 + 52 = -5*b, 0 = -2*b - m - 146. Let v = b - -91. Calculate the remainder when 54 is divided by v.
0
Suppose 0 = -9*k + 19 + 359. What is the remainder when k is divided by 23?
19
Let y = -1739 + 2506. Calculate the remainder when y is divided by 48.
47
Suppose -4*r + 126 = 2*y - 8, -r - 82 = -y. Calculate the remainder when y is divided by 41.
36
Let a = -765 - -831. Calculate the remainder when a is divided by 20.
6
Let d(x) be the third derivative of -x**4/24 - x**3/2 - 12*x**2. Let y be d(9). Let g(h) = -16*h - 29. What is the remainder when g(y) is divided by 41?
40
Suppose 27*r - 212 = 85. What is the remainder when 23 is divided by r?
1
Suppose 3*p = -2*a + 41, -3*a - 5*p = -2*p - 54. Suppose t - 48 = -t. Calculate the remainder when t is divided by a.
11
Let v(b) be the third derivative of 0 + 8*b**2 + 0*b - 1/20*b**5 - 1/2*b**3 - 1/40*b**6 - 1/8*b**4. What is the remainder when 44 is divided by v(-2)?
14
Let s(d) = -2 + 30*d**2 + 2*d + 0 + 4. What is the remainder when 177 is divided by s(-1)?
27
Let w be (-6)/9*(-1 + (-14)/4). Suppose 4*u = w*m - 35, 2*u - 29 = 3*m - 72. What is the remainder when m is divided by 10?
7
Let j(r) be the second derivative of r**4/12 + r**3/3 + r**2 + 6*r. Let a be j(-3). Let q = 82 - a. What is the remainder when q is divided by 20?
17
Let g(m) = -m**2 + 13*m + 7. Suppose 5*j - 332 = -4*c, c + 4*j = 6*c - 415. Calculate the remainder when c is divided by g(4).
40
Let h(y) = 49 - y - 101 + 5*y - 39. Suppose -3*g = -7*g + 100. Calculate the remainder when g is divided by h(25).
7
Suppose -h + 2 = -4*x, 2*x + 3*h + 0*h = -8. Let p(q) = 28*q**2 - 1. Calculate the remainder when -2 + 57 + 0 + -2 is divided by p(x).
26
Let f(s) = 2*s**2 - 18*s + 40. Calculate the remainder when 62 is divided by f(6).
2
Let h = -177 - -313. What is the remainder when h is divided by 28?
24
Let r(y) = 4*y + y**3 - y - 13*y + 9 - y**2 - 2*y**2. Calculate the remainder when 39 is divided by r(5).
3
Let n be -5*3/(9/15). Let i = -24 - n. What is the remainder when 53 is divided by 24 - (1/i - 5)?
25
Suppose 1378 = 49*n - 533. What is the remainder when n is divided by 11 + (1 - (-2)/(-1))?
9
Suppose 4*x - 4*w = 32, 3*x - 2*x + 4*w + 2 = 0. What is the remainder when x/15 - (-1074)/15 is divided by 37?
35
Let v(n) be the first derivative of 11/2*n**2 - 9*n - 1/3*n**3 - 1. What is the remainder when v(7) is divided by 11?
8
Let z(q) = q**2 - 2*q - 1. Let x(a) = -a + 16. Let m be x(13). Suppose -m*t - 3*f + 66 = -0*t, 3*f = 2*t - 34. What is the remainder when t is divided by z(4)?
6
Let q(o) = -4*o**2 + 158*o - 49. What is the remainder when q(37) is divided by 13?
9
Let r = -49 - -81. Suppose -29 = -z - 4*p, -4*z + 3*p + 8 = -r. Calculate the remainder when 101 is divided by z.
10
Suppose -29 + 5 = 4*w. Let b = -6 - w. Suppose 0 = 5*y - b*y - 15. What is the remainder when y is divided by 1?
0
Suppose 0 = 4*s - 8 - 116. Calculate the remainder when 77 is divided by s.
15
Let s = -2112 + 2145. Calculate the remainder when 560 is divided by s.
32
Let d(w) = -11*w + 102. Calculate the remainder when 899 is divided by d(6).
35
What is the remainder when (-2)/((-2712)/(-544) + -5) is divided by 71?
65
Let c(b) = b**3 + 28*b**2 - 92*b + 42. Calculate the remainder when 18 is divided by c(-31).
7
Suppose 0 = 6*n - 13*n + 21. Calculate the remainder when (n - (16 + 3))*-3