remainder when s(-6) is divided by 8?
4
Let f = -318 - -452. Let q(b) be the third derivative of b**6/120 + 17*b**3/3 - 2*b**2. Calculate the remainder when f is divided by q(0).
32
Suppose 2*t - 100 = 2*s, -7*s = -5*t + 307 - 49. Suppose 4*n - 264 = 284. Calculate the remainder when n is divided by t.
45
Let s(p) = -p + 21 - 353*p**2 + 8*p + 354*p**2. What is the remainder when s(-10) is divided by 21?
9
Let c = 4890 - 4820. Calculate the remainder when c is divided by 3.
1
Let y(f) = 3*f + 24. Let x be y(-10). Let q be (-75)/10*x/9. Suppose 27 = 2*b + 3*s, q*b - 66 - 11 = 2*s. Calculate the remainder when 35 is divided by b.
5
Let o(f) = 21*f**3 - 2*f**2 + 3*f - 4. Let q = 449 - 447. Calculate the remainder when o(q) is divided by 47.
21
What is the remainder when 129 is divided by (-124)/(-279) + 1218/54?
14
Suppose 91*n + 54 = 82*n. Let p(w) = w**2 - 16*w - 104. Calculate the remainder when 186 is divided by p(n).
18
Calculate the remainder when 1450/(-7975) + (92571/(-9))/((-11)/3) is divided by 46.
45
Suppose 0 = -2*i + 3*n + 533 - 108, 0 = 5*i - 4*n - 1059. What is the remainder when i is divided by 1 + -3 - -36 - -2?
31
Let d(h) = -h**3 + 48*h**2 - 73*h + 4285. What is the remainder when d(48) is divided by 29?
27
Let k(g) = -5*g**2 + 53*g - 58. Calculate the remainder when 8621 is divided by k(2).
25
Let d = 4362 + -4221. What is the remainder when d is divided by 27?
6
Suppose -3839*x + 3819*x = -1580. Calculate the remainder when x is divided by 21.
16
Let p = -433 - -440. Suppose 22 = p*b - 307. Calculate the remainder when b is divided by 18.
11
What is the remainder when 748 is divided by 9/(27/60) + (-6 - -18)?
12
Let n(j) = -141*j + 302. Let w be 10/35 + 1466/14. Suppose 280 + w = 5*g. Calculate the remainder when g is divided by n(2).
17
Let b be 29/4 + 12/(-48). Let l(r) = 4*r**2 - 4*r**3 + 57*r - 44*r + 3*r**3 - b. Calculate the remainder when 96 is divided by l(5).
30
Let h(c) = c**2 + 46*c - 2274. Calculate the remainder when 139 is divided by h(30).
1
Suppose 3*o - 4*a = -0*a + 4637, -o + a = -1546. What is the remainder when o is divided by 514?
5
Let y(h) = -11*h - 54. Let m be y(-12). Suppose 4*o = 4, -5*s + s + 2*o + m = 0. Calculate the remainder when 99 is divided by s.
19
Let b be (0 - 0)*1/2 - -9. Suppose -b = -6*o + 15. Suppose -201 = -o*h - 5. What is the remainder when h is divided by 17?
15
Suppose -17 = 2*l - 4*p - 79, 4*l + 5*p = 137. Calculate the remainder when l is divided by (2/(-4))/((-2)/(-3))*-16.
9
Suppose 172 = 25*k - 27 - 76. What is the remainder when 5903 is divided by k?
7
Suppose -45630 = 509*g - 539*g. What is the remainder when g is divided by 14?
9
Suppose -151 = -6*g + 178 - 41. What is the remainder when 2061 is divided by g?
45
Suppose -669 = -14*b - 333. Calculate the remainder when 11398 is divided by b.
22
Suppose 3*g - i = -180 + 31, g - i = -53. Calculate the remainder when 82 is divided by ((-45)/(-6))/((-20)/g).
10
Suppose 0 = 2*r - 5*x - 56, -29*r = -30*r - 5*x - 2. Calculate the remainder when 108 is divided by r.
0
Let o = 89 + -92. Calculate the remainder when 3/((-3)/(-32)) + (o - -4) is divided by 22.
11
Suppose 0 = 519*z - 369161 - 172675. Calculate the remainder when z is divided by 1042.
2
Let g(t) = 29*t + 1005. Calculate the remainder when g(-31) is divided by 14.
8
Let j(q) = 6*q + 166. Suppose 18*a + 389 = 65. Let v(s) = s**3 + 5*s**2 - 4*s + 2. Calculate the remainder when j(a) is divided by v(-5).
14
Let b be 6/10 - (-168)/70. Let n(o) = -2*o**b + o**2 + o + 2 + 0 + 0 - 1. Calculate the remainder when 73 is divided by n(-2).
16
Let s(w) = 290*w**2 - 416*w - 2080. Calculate the remainder when s(-5) is divided by 18.
14
Let t(c) = -c**3 + 79*c**2 + 86*c - 433. Suppose -210 = -4*y - 3*x + 149, 3*x - 83 = -y. Calculate the remainder when y is divided by t(80).
45
Suppose 4*i = -2*b + 28, 5 = 4*i - 3. Let u(y) = y**2 - y - 37. Calculate the remainder when u(b) is divided by ((-14)/(-4))/(2/4).
4
Suppose 30 = -3*l + 3*g - 6*g, l + 4*g + 4 = 0. What is the remainder when (2449/(-186))/(2/l) is divided by ((-9)/2)/(1/(-2))?
7
Let r be ((-388)/(-6))/(6/9). Let s = -487 - -491. Suppose r = s*o - 19. Calculate the remainder when 82 is divided by o.
24
Suppose 4*a = 3*a + 2. Suppose -2*x + 54 = b + 19, -32 = -2*x + a*b. Calculate the remainder when 14/(-6) - 96923/(-2823) is divided by x.
15
Let u = -93 - -154. Let p = u - 43. Suppose -2*o = -36 - p. Calculate the remainder when 106 is divided by o.
25
Let c be 2 - (-1 + 2)/(-1). Suppose -c - 32 = -q. What is the remainder when (-316 - -248)/(4/(-4) - 0) is divided by q?
33
Suppose -11*u = -4*u - 10*u + 108. What is the remainder when 3319 is divided by u?
7
What is the remainder when 927 is divided by 5/20*(1808 - -20)?
13
Let n(i) = 74*i - 368. Calculate the remainder when n(10) is divided by 103.
63
Suppose 10*p - 159 = 11. Suppose -x + 39 = p. Calculate the remainder when 107 is divided by x.
19
Let u(y) = 2*y**3 - 15*y**2 - y + 9*y**2 - y**3 + 10 + 0*y**2. Calculate the remainder when u(7) is divided by 14.
10
Let k = 79 - 49. Suppose 2*z + 4*z = k. What is the remainder when 128 is divided by z?
3
Suppose 0 = 14*z - 203 - 77. What is the remainder when (-387)/(-4) - (-3)/12 is divided by z?
17
Let f = -7918 + 7944. Calculate the remainder when 1107 is divided by f.
15
Let v = 826 - 787. What is the remainder when (v/5)/(8/120) is divided by 20?
17
Suppose 763*f - 769*f = -222. Calculate the remainder when 702 is divided by f.
36
Suppose -2 - 1 = -r. Suppose 5*i - 120 = -3*t, -2*t + r*t + 3*i = 44. Suppose -79*f + 75*f = -272. What is the remainder when f is divided by t?
33
Let y(t) = t**3 + 20*t**2 + 85*t + 21. What is the remainder when 2701 is divided by y(-7)?
55
Let p(i) = -2*i**3 - 6*i**2 + 13*i + 3. What is the remainder when p(-5) is divided by (1 + 10)*(-1)/(-1)?
5
Let t = -3407 - -3787. What is the remainder when t is divided by 206?
174
Let t(d) = 2*d**2 + 3*d + 13. Let k be 3*((-33)/9 + 3). Let n be (k - 3 - -4) + -5. What is the remainder when t(n) is divided by 14?
11
Suppose -3*r + 35*r - 11008 = 0. Calculate the remainder when r is divided by 72.
56
Let n = 239 - 21. Calculate the remainder when n is divided by 52.
10
Suppose 0 = 171*d - 172*d + 166. Suppose 5*v - d = 4*w, 2*w + 65 = 2*v - w. Calculate the remainder when 161 is divided by v.
25
Let h(f) = f - 2. Let t be h(23). Let o = 166 - t. Calculate the remainder when o is divided by 7.
5
Suppose 0 = g - 20*s + 24*s + 5, -3*s = 4*g - 45. Calculate the remainder when 63 is divided by g.
3
Suppose 37*m = 45870 + 11776. What is the remainder when m is divided by 40?
38
Suppose 4*i - 390 = -5*w, -176*w - 2*i + 232 = -173*w. What is the remainder when 513 is divided by w?
69
Let b(c) = -c**3 + 3*c**2 - 3*c + 1. Let u be b(2). Let q(i) = -53*i - 1. Let o be q(u). Let k = 7 + o. What is the remainder when k is divided by 15?
14
Let g = -14286 - -14774. Calculate the remainder when g is divided by 11.
4
Suppose 8*y - 5*y - 478 = -5*q, y + 5*q = 146. What is the remainder when 1823 is divided by y?
163
Let a = -55 + 98. Let y(n) = -n**3 - 19*n**2 - 86*n - 104. What is the remainder when y(-14) is divided by a?
34
Let l(b) = b**2 + 11*b + 12. Let r be l(-10). Let w(i) = i**3 + 3*i**2 - 3*i + 1. Let y = 115 - 87. What is the remainder when y is divided by w(r)?
13
Suppose 5 = 3*f - 5*d, -4 = -0*f - 2*f + 3*d. Calculate the remainder when 452 is divided by f.
2
Suppose -4*n - 2 = -2*n + 4*v, 5*v + 4 = -2*n. Suppose n*r = 213 + 105. Suppose 0 = -2*j + 8 + r. Calculate the remainder when j is divided by 20.
17
Let f = -312 - -328. Let a = 30 - 5. Suppose l = 19 + a. What is the remainder when l is divided by f?
12
Calculate the remainder when 6200 + -1 + (-25)/13 + (-34)/442 is divided by 66.
59
Let l(m) = 2*m**3 - 10*m**2 + 10*m - 6. Let g = -154 - -159. What is the remainder when l(g) is divided by 25?
19
Let w = -431 - -611. Let h = 19 + -13. What is the remainder when w is divided by 1800/84 - 7 - h/14?
12
Suppose 4*a = -4*m + 204, -m + 2*a - 9 = -51. Let p(u) = 47*u**3 + 2*u**2 - u - 1. What is the remainder when p(2) is divided by m?
45
Suppose 459*f - 55118 = -1319*f. Calculate the remainder when -1 + 0/2 - -55 is divided by f.
23
Suppose -40 = -4*r + q 