he remainder when a(-54) is divided by 112?
89
Let u(a) = -a**3 + 2*a**2 - 6*a + 4. Let n be u(4). What is the remainder when 3 - n - (-2)/(-2) is divided by -6*((-39)/(-156))/((-3)/22)?
10
Calculate the remainder when ((-3)/((-45)/(-102)))/(32/(-3360)) is divided by 103.
96
Suppose 52 = h - u + 36, 0 = -3*h - 3*u + 66. Let t = 86 + -56. What is the remainder when t is divided by h?
11
Let m = 867 + 386. Calculate the remainder when m is divided by 19.
18
Let n = -7563 - -7601. Calculate the remainder when 58 is divided by n.
20
Let c(n) = -2588*n - 365. Calculate the remainder when c(-1) is divided by 23.
15
Let s = -25 + 44. Let f(g) = -5*g**2 - 4*g + 7. Let t be f(-5). Calculate the remainder when s is divided by (t/21 - 2/6)/(-1).
4
What is the remainder when 16 + (-37)/(518/(-25732)) is divided by 33?
6
Suppose -92*p - 100 = -90*p. Let s = p + 45. Calculate the remainder when 19 is divided by (21/6)/(s/(-10)).
5
Let o = 15 - 20. Let f(u) = 7*u + 55. Calculate the remainder when 87 is divided by f(o).
7
Let j = -1741 - -2209. Calculate the remainder when j is divided by 141.
45
Let d(k) = -39*k + 53. Calculate the remainder when 1640 is divided by d(-7).
10
Suppose 10*p - 572 = -p. Let l = 895 + -220. Calculate the remainder when l is divided by p.
51
Calculate the remainder when 36*((-20706)/(-56))/29 is divided by 94.
83
Suppose 3*a + 2*n = -32, -5*a = -0*a - n + 62. Let j(m) = m**2 + 6*m + 3. Let l be j(a). Calculate the remainder when 38 is divided by (10/l*-6)/(2/(-20)).
6
Suppose 3*f = 3*m - 19 + 574, 5*m = 2*f - 385. What is the remainder when 314 is divided by ((-18)/(-8))/(2547/f - 14)?
14
Suppose 28 = 5*x - n, 4*x - 4*n + 34 = 66. Calculate the remainder when 53 is divided by x.
3
Let y(w) = 2*w**2 + 40*w - 45. Calculate the remainder when y(-27) is divided by 4.
1
Suppose u - 41 = -4*n, -188*u + 3*n = -191*u + 150. Calculate the remainder when 208 is divided by u.
49
Let x = -141 + 148. Suppose x*i - 126 = -7*i. Calculate the remainder when 35 is divided by i.
8
Let k(q) be the second derivative of -11*q**5/4 + q**4/4 + q**3/3 - 8*q - 10. What is the remainder when 277 is divided by k(-1)?
53
Let g(i) = -152*i + 475. What is the remainder when g(-14) is divided by 42?
41
Suppose 4*b - 4*z = 364, 3*b - 5*z - 271 = -0*z. Suppose -b = -6*m - 50. What is the remainder when 137 is divided by m?
4
Let w(i) = -39*i**3 - 1. Let h(a) be the second derivative of -2*a**3/3 - 23*a**2/2 + 6*a. What is the remainder when w(-1) is divided by h(-11)?
17
Let l(b) = b**2 + 3*b - 40. Let c be (12/10)/((-2)/(-75)). Suppose -7*y - c = -2*y. Calculate the remainder when 53 is divided by l(y).
11
Let n be (2 - 159)*1/(-1). Suppose d + n = 190. What is the remainder when 63 is divided by d?
30
Let d(u) = -156*u + 140. Let g be d(3). Let a = g - -422. Suppose -2*z - 3*z + 160 = 0. What is the remainder when a is divided by z?
30
Suppose -3*b - 31 = -2*u, 5*b - 5 = 5*u - 90. Calculate the remainder when (-52 + 70)*70/18 is divided by u.
10
Let n(k) = -8*k - 21. Let q = 43 + -19. Suppose 25*h = q*h - 8. Calculate the remainder when n(h) is divided by 15.
13
Let q be (-20)/8*(-12)/5. Suppose -q*g + 71 = -3*g + 2*d, -3*d + 39 = 2*g. Suppose -13*b = -b - 168. What is the remainder when g is divided by b?
13
Suppose 11 + 90 = 3*w + 5*b, -3*b - 29 = -w. Suppose 0 = 4*a + 2*o - 28, -3*a + 6 = -0*a - o. What is the remainder when (6 - 21/a)/(1/w) is divided by 14?
10
Let m = 8729 - 7366. Calculate the remainder when m is divided by 91.
89
Suppose i = -h + 411, -17*h - 2055 = -22*h - i. What is the remainder when h is divided by 199?
13
What is the remainder when (418/((-132)/(-12)))/(8/112) is divided by 29?
10
Let g(w) = -14*w - 625. Let b(p) = p**3 - 2*p**2 - p - 4. Calculate the remainder when g(-72) is divided by b(4).
23
Let k(c) = c**2 - c + 20. Suppose 160*o - 9*o = 269*o - 708. What is the remainder when k(0) is divided by o?
2
What is the remainder when (8400/(-2240))/(3/(-788)) is divided by 486?
13
Let d(h) = 6*h**2 - 125*h + 321. Calculate the remainder when 1048 is divided by d(18).
13
Let k = 317 - 174. Let o be -6*(702/(-12) + 0). Let l = o - 315. What is the remainder when k is divided by l?
35
Suppose -10*w = -8*w + 148. Let t = w + 78. Suppose 5*b = -2*k + 380 + 95, t*k + 475 = 5*b. Calculate the remainder when b is divided by 25.
20
Suppose -58*n + 1944 = -135 - 1111. Calculate the remainder when 124 is divided by n.
14
Suppose 151 = 11*r - 278. Suppose 27*v = 24*v + r. Suppose t + t = 126. Calculate the remainder when t is divided by v.
11
Let d(i) = 6*i**3 + 17*i**2 + 4*i. Let g be d(-4). Let s = -77 - g. Calculate the remainder when s is divided by 15.
6
Suppose -19*q = t - 16*q - 98, 3*t + q = 318. Calculate the remainder when 745 is divided by t.
103
Let a(s) = 14*s**3 + 350*s**2 - 9*s + 14. What is the remainder when a(-25) is divided by 53?
27
Let j = -25570 - -25703. Calculate the remainder when 6514 is divided by j.
130
Let i(d) = 42*d**3 - d**2 + 42*d - 43. What is the remainder when 417 is divided by i(1)?
17
Let h(b) = b**3 + 2*b**2 + 9*b - 15. Let r(k) = k**2 - 12*k + 17. Let y be r(11). Calculate the remainder when h(y) is divided by 22.
19
Suppose 102*y = -140 - 156 + 1724. Suppose 8*l - 3*l - 65 = 0. What is the remainder when y is divided by l?
1
Let h = -386 + 833. Suppose 439*g + 2584 = h*g. What is the remainder when g is divided by 78?
11
Suppose 2 = -x, 3*x - 69 = 4*y + 465. Let b = y - -169. Calculate the remainder when b is divided by 23.
11
Suppose 12930*q = 12954*q - 27912. Calculate the remainder when q is divided by 146.
141
Suppose 3*n - 2 = 7. Suppose -k + n*k - 162 = 0. What is the remainder when k is divided by (153/(-15))/((-9)/15)?
13
Suppose 10813*i - 10803*i = 390. What is the remainder when i is divided by 17?
5
Suppose -6*j + 2*j = -4*l - 884, 3*j + 2*l - 653 = 0. Suppose 5*z - 79 = 3*k, -2*z + 49 + 19 = 4*k. What is the remainder when j is divided by z?
19
Suppose k + 2*d = -8, -4*k = 3*d + 55 - 13. Calculate the remainder when 63 is divided by k/(-10)*1925/70.
30
Suppose 0 = 4*c - 2*c - 150. Suppose -75 = -3*l + 3*n, 3*n + 42 = -5*l + 183. Calculate the remainder when c is divided by l.
21
Let i(c) = c**2 - 4*c - 4. Suppose 9*b - 7*b + 10 = 0. What is the remainder when i(-3) is divided by (-13 - -17)*b/(-2)*1?
7
Suppose -22*i + 137 = 5. Calculate the remainder when 2 + (i/(-3) - (-6)/2) is divided by 2.
1
Let z be 0/((-2)/(0 - -2)). Suppose z = 3*s - l - 14, -s = 3*l - 5 - 3. Let a = -13 - -16. Calculate the remainder when s is divided by a.
2
Let g(t) = t**2 + 2*t - 9. Let u be -4*((-3)/2 - -2). Let h be 8 + (u + 2)/(-2). What is the remainder when g(h) is divided by 37?
34
Suppose g - 107 - 57 = 5*w, 4*w = 3*g - 426. Calculate the remainder when g is divided by 45.
44
Let p = -8 - -34. Calculate the remainder when ((-3)/9 - -1)/(2/282) is divided by p.
16
Suppose -17*q = 16*q + 198. Let f(m) = -m**2 - 10*m + 2. Calculate the remainder when f(q) is divided by 6.
2
Let t(f) = -f**3 + 4*f + 9. Let l be t(4). Calculate the remainder when ((-8)/(-8)*l)/((-2)/10) is divided by 22.
19
Let y = -37901 + 37920. What is the remainder when 821 is divided by y?
4
Let z(k) = 2*k**2 + 12*k + 25. Let g = -208 - -203. Calculate the remainder when z(g) is divided by 4.
3
Let z(v) = -58*v + 34. Let t be z(-13). Let j = t + -759. What is the remainder when 139 is divided by j?
23
Suppose -6*z - 29 = -7*z. Let h = -14 + z. Calculate the remainder when (-516)/(-9) + (-2)/(-3) is divided by h.
13
Suppose k = 5*g + 36, 0 = -5*k - 2*g - 3*g + 210. Calculate the remainder when 745 is divided by k.
7
Let w(z) = -16 + 0*z**2 - 4237*z - z**2 + 4253*z. Let p = -15 + 27. Calculate the remainder when 119 is divided by w(p).
23
Let g be (1/(-1) + -3)/1. Let k = g + 11. Suppose -3*i + 144 = -5*u, -10*i = -6*i + 6*u - 192. What is the remainder when i is divided by k?
6
Let s be -3*(-10)/(-120) - (-2118)/(-8). Let i = s + 281. What is the remainder when 94 is divided by i?
14
Let v = -146 + 177. Suppose -17 = -12*x + v. What is the remainder when 74 is divided by x?
2
Let l be (1/(2/(-16)))/(34 + -35). Suppose -y = -2*y + l. Let p(x) = -x**2 + 8*x + 3. Calculate the remainder when 8 is divided by p(y).
2
Suppose -271*i + 7011 = -1