te the remainder when a(2) is divided by k.
9
Let s(b) = 6*b**2 - 418*b + 2517. What is the remainder when s(6) is divided by 17?
4
Let c(i) be the second derivative of i**5/20 + 13*i**4/12 - 11*i**3/6 - 29*i**2/2 - 65*i. What is the remainder when c(-11) is divided by 24?
22
Let g = -10608 - -10686. What is the remainder when 691 is divided by g?
67
Let b(u) be the second derivative of -u**5/10 - u**4/2 - 4*u**3/3 + 9*u**2/2 + 4*u. What is the remainder when b(-5) is divided by 15?
14
Let i(g) = -g**3 - 27*g**2 + 88*g + 532. Calculate the remainder when 1190 is divided by i(-30).
6
Suppose 81 = 2*g + 31. Suppose -4*u + 262 = -2*t, -t + 3*t - 186 = -3*u. Let p = u - 45. Calculate the remainder when g is divided by p.
6
Let r = 47910 - 47894. What is the remainder when 2773 is divided by r?
5
Let k = -3615 + 3637. What is the remainder when 3012 is divided by k?
20
Let y = -107 - -134. What is the remainder when (-590)/(-9) - (-12)/y is divided by 34?
32
Let w = -9209 - -9246. Calculate the remainder when 751 is divided by w.
11
Suppose -3*a - s - 4*s = -2715, 0 = 2*a - 5*s - 1785. Suppose 5*n + a = 1020. What is the remainder when n is divided by 9?
6
Let d = 6315 + -6266. What is the remainder when (-1)/1*-133 - 0 is divided by d?
35
Let m be (-1)/(-5) + (-1272)/(-40). Suppose 2*q = 3*a + 30, -m = -6*q + 2*q - a. What is the remainder when 11 is divided by q?
2
Suppose 0 = 4*y + 2*k - 72, -3*k = 8*y - 12*y + 92. Let u = -17 + 21. Suppose 9 = -3*n, -m = u*m + 3*n - 161. Calculate the remainder when m is divided by y.
14
Suppose 5*m = 10 + 10. Suppose 3*p = 4*b + 4, m*p + 0 = -b - 1. What is the remainder when 7 is divided by 2 - b/((1 - 4)/(-3))?
1
Suppose 3689 = -34*o + 51*o. Let h = -195 + o. What is the remainder when 84 is divided by h?
18
Suppose -7*h = 19*h + 156. Calculate the remainder when 1722/27 + h/(-27) is divided by 22.
20
Let a(f) = 5*f**2 - 6*f - 7. Let r(v) = -4*v + 34*v**2 + 2*v - 8 - 32*v**2 - v + 26*v**2. Calculate the remainder when a(5) is divided by r(-1).
19
Suppose -28*o - 3*o + 527 = 0. Calculate the remainder when 78 is divided by o.
10
Let h be -1*(-8)/(0 - -4). Suppose -2*l + 169 = 3*m, l + l = h*m - 126. Let r = -79 + 100. Calculate the remainder when m is divided by r.
17
Let d(o) be the first derivative of 2*o**3/3 + 11*o**2/2 - 4*o - 3. Let c(q) = -q**2 - 5*q + 34. Calculate the remainder when d(-8) is divided by c(-8).
6
Suppose 0 = -4*w - z + 434, -z - 49 = w - 156. Suppose 426 + 186 = 36*a - 432. Calculate the remainder when w is divided by a.
22
Suppose 0 = 3*m + z - 240, -4*m - 41*z + 38*z = -330. What is the remainder when m is divided by 44?
34
Suppose 3*o - d - 4 = -0*o, 4*o = -d + 10. Suppose 0 = 4*z - 4*g + 108, 3*z + 0*g + 77 = o*g. Let k = -9 - z. Calculate the remainder when 67 is divided by k.
11
Suppose 2*j - p - 383 = 0, 76*j - 79*j + 2*p = -573. What is the remainder when j is divided by 51?
40
Let i(v) = -69*v**3 + 19*v**2 + 19*v + 1. What is the remainder when i(-1) is divided by 70?
0
Let k(x) = x**2 - 8*x + 8. Let d be k(7). What is the remainder when (-1926)/(-21) + (d - 20/28) is divided by 43?
6
Let a = 2350 + -1246. What is the remainder when 102 is divided by 3/(-2)*a/(-36)?
10
Let j be (2 + (-130 - 4))*(-7)/2. Suppose -13*p + j = -253. Calculate the remainder when p is divided by 14.
13
Suppose s + 2005 = 6*s + 2*l, l - 2000 = -5*s. Let o = -297 + s. What is the remainder when 303 is divided by o?
99
Let y = -15083 - -15622. What is the remainder when 3239 is divided by y?
5
Let d(h) = 4*h - 21. Let x be d(29). Suppose -v + 318 = 3*f, 5*f = -v + 623 - x. Calculate the remainder when f is divided by 10.
5
Let w(d) = 10*d + 10. Let b(a) = -3*a**2 - 36*a + 87. Let o be b(-14). What is the remainder when w(o) is divided by 16?
8
Suppose -s = -h - 38, 3*s + 1929 - 2042 = 2*h. Let k = -10 + 16. Calculate the remainder when s is divided by k.
1
Suppose -6*q + 14 = -16. Let o(c) = 22*c - 8. Let d be o(q). Suppose d = 4*f - f. What is the remainder when 134 is divided by f?
32
Calculate the remainder when ((-25888)/(-96) + -36)/((-2)/(-6)) is divided by 80.
61
Suppose 0 = -v - 2, -14*v - 35 = -5*c - 24*v. Let g(q) = 9*q - 4*q + 9*q - 25 - q**2. What is the remainder when 19 is divided by g(c)?
3
Suppose -2*u + g + 32 - 11 = 0, -3*g = -3. Suppose -d + 8*y - 12*y + 19 = 0, -d + 7 = y. Suppose -17 = d*x - 65. Calculate the remainder when x is divided by u.
5
Let g = 136 - 34. Suppose w + g = 3*w. What is the remainder when w is divided by 14?
9
Suppose -44428 = -24*u - 4876. What is the remainder when 3303 is divided by u?
7
Let v(a) = 1437*a - 16906. What is the remainder when 706 is divided by v(12)?
30
Suppose 8396 = 5*q - 2*j, -557*q - 4*j - 8382 = -562*q. What is the remainder when q is divided by 152?
10
Let a = 12 + -12. Let g(z) = -6*z + 3 + 8 + a + 2*z. What is the remainder when g(-4) is divided by 7?
6
Let z = 836 - 805. Calculate the remainder when (-364)/(-7) + -2*1 is divided by z.
19
Suppose 0 = 4*k + 2*c - c - 236, 2*c + 118 = 2*k. Let y(v) = v**2 + 111*v - 448. Calculate the remainder when k is divided by y(4).
11
Let z = 110 + 30. Suppose 4*o = -4*l - z, -o - 50 = -0*o - 4*l. What is the remainder when 53 is divided by (1/1)/(-1*2/o)?
15
Let w = 184 - 182. Suppose 0 = -4*l + 5*s - w*s + 173, 4*s + 12 = 0. Calculate the remainder when -24*(-20)/24*4 is divided by l.
39
Calculate the remainder when 1295 is divided by (882/105)/(1/5).
35
Let s be 2/4 + (-9)/2. Let r(z) be the first derivative of z**3/3 - z**2/2 - z - 1177. What is the remainder when 93 is divided by r(s)?
17
Let f(z) = -40*z - 18. Let s be f(-3). Suppose -110*q = -s*q - 328. Calculate the remainder when 81 is divided by q.
40
Suppose -199 = -2*i - 3*q - 2*q, -i + 2*q = -122. Suppose 2*b - 2*u = 2*u + 38, -4*b = u - i. Calculate the remainder when b is divided by (-4)/(-12)*3*7*1.
6
Let y(h) = 63*h - 5. Let o(w) = 5*w - 5*w - 2*w + 32*w**2 + 1. What is the remainder when y(2) is divided by o(1)?
28
Let j(o) = -13*o - 23. Let i be j(-2). Suppose 10 = -2*z, i*q = -2*z + 42 + 2. What is the remainder when (1/3)/(10/1050) is divided by q?
17
Let z be 3 - (-3)/(6/(-4)). Let l = z - -18. What is the remainder when l is divided by (-11)/(-55) - (-378)/(-35)*-1?
8
Suppose -4355 = -5*z + 5*v, -12*z = -9*z + 4*v - 2634. Calculate the remainder when z is divided by 245.
139
Suppose 31*p = 33*p + 4*o - 506, -3*p = 3*o - 747. Let k = p - 192. Calculate the remainder when 179 is divided by k.
20
Let l = 112 - 53. Suppose -3*t = 3*w - 3, -4*t + 2*t - 8 = 0. Calculate the remainder when l is divided by 0 - (w/(-15) + (-58)/6).
9
Let s(y) = -y**2 - 24*y + 125. Let a be s(-28). Suppose a = 2*f - 3. What is the remainder when f is divided by 6?
2
Let o be ((-368)/(-24) - 6)*-3. What is the remainder when 3168/51 - o/(-238) is divided by 9?
8
Let p be 1/(-6*4/(-96)). What is the remainder when (-2 - (-707)/14)*p is divided by 7?
5
Suppose 16*j = 6*j + 420. What is the remainder when j + 10/25*-5 is divided by 6?
4
Let z = 1462 + 2212. Let n be (-1)/(-2) + z/44. Let a = n + -71. What is the remainder when a is divided by 8?
5
Let o be -1 - (-8)/6 - 25/(-15). Suppose -10*d + 156 = o*d. What is the remainder when 64 is divided by d?
12
Suppose 0 = 3*i - 6*i + 6. Suppose -q = -i*q + 51. Calculate the remainder when q is divided by 28130/1450 - 4/10.
13
Let s(x) = x**2 - 12*x - 6. Let v be s(13). Let b(o) = o**3 - v*o**2 + 9*o**2 + 4*o**2 + 14 - 7*o. Calculate the remainder when b(-7) is divided by 4.
2
Suppose -a - 4 = 2*r - 181, -a + 176 = 3*r. What is the remainder when a is divided by 12?
11
Let c(k) = 6*k + 3 - 1 + 6*k - 1. What is the remainder when c(4) is divided by 5 - (-1 + -4) - (7 + -14)?
15
Suppose 170*r - 600 = 146*r. Calculate the remainder when (-1*13*(1 - -18))/(-1) is divided by r.
22
Let n(m) = m**3 - 4*m**2 - 4*m + 2. Let r be n(6). Suppose v - r = -6. Let q(b) = 495*b**2 + 9402*b - 41. What is the remainder when v is divided by q(-19)?
12
Suppose -168 = -4*d + 5*j, -81 - 5 = -2*d + 2*j. Suppose -t + 64 = i, 3*i - 144 - 166 = -5*t. Let n = t - 42. Calculate the remainder when d is divided by n.
13
Let b be 324/(-729) + 116/18. Suppose 4*r + b*q - 22 = 8*q, -r + 3*q + 13 = 0. What is the remainder when r is divided b