ivative of a**5/30 + 53*a**4/24 + 11*a**3/6 - 38*a**2. Let n be q(-28). Let z = -83 + n. What is the remainder when 44 is divided by z?
8
Let o(q) = 4*q**3 - 424*q**2 + 4*q - 94. Let j(n) = -28*n. Calculate the remainder when o(106) is divided by j(-2).
50
Calculate the remainder when 634 is divided by ((-10)/(-4))/(8 - 496/64).
4
Suppose 3*d - 3 = 0, -2*r - 9*d = -10*d - 7. Suppose -5*s = 3*l - 40, l + 1 = 2*s - r. What is the remainder when 24 is divided by s?
4
Suppose -m - 5*k - 16 = 0, 7*k - 10*k = 12. What is the remainder when ((-34)/8)/(2/(-8)) is divided by -2 - (14 + -15)/(1/m)?
1
Let t(m) = 2425*m + 17074. Suppose 5*q - l = 175, 4*q = -l - 4*l + 111. What is the remainder when t(-7) is divided by q?
31
Suppose -77*i - 2*z + 934 = -71*i, -5*z = -2*i + 266. Calculate the remainder when 1542 is divided by i.
12
Calculate the remainder when (83256/21)/4 + 14/(-98) is divided by 196.
11
Let r(b) = 8*b. Let w = -3747 + 3760. Calculate the remainder when r(3) is divided by w.
11
Let z = 5713 + -5663. What is the remainder when 65 is divided by z?
15
Suppose -n - n = -4*j - 42, 5*n - j - 123 = 0. Suppose 2*g - 1156 = -6*w, 4*g + w = 953 + 1249. Calculate the remainder when g is divided by n.
23
Suppose -5*l - 1 + 11 = 0. Let n(s) = s**2 + s + 2. What is the remainder when 101 is divided by n(l)?
5
Suppose -9*g + 476 = 8*g. Let z = 2005 + -1891. Calculate the remainder when z is divided by g.
2
Let j = -23881 + 24544. What is the remainder when j is divided by 31?
12
Let v(i) = -25*i + 1328. What is the remainder when v(45) is divided by 87?
29
Let j = 47 - 58. Let v(c) = c**3 + 11*c**2 + 1. Let l be v(j). Calculate the remainder when 16/l + (3 - 1) is divided by 5.
3
Let u be 2 + 0 + -163 + 2. Let y = -109 - u. What is the remainder when y is divided by 27*(((-273)/9)/(-7) - 4)?
5
Let b = -168 + 183. Suppose -q - 19 = 5*f - 53, 2*f = 5*q - 305. What is the remainder when q is divided by b?
14
Let a = 364 - 362. Suppose -5*n - 173 = -a*g - 1912, -3*n - 3*g = -1035. Calculate the remainder when n is divided by 25.
22
Let r(q) = -2*q**3 + 6*q + 10. Let t be r(-3). Suppose -10*n = -t + 6. Suppose 2*m = n*m - 116. Calculate the remainder when m is divided by 11.
3
Suppose -24*p = -142643 - 39637. Calculate the remainder when p is divided by 200.
195
Suppose 5*g = -5*s + 160, 7*g + 56 = 3*s + 2*g. What is the remainder when 163 is divided by -66*((-99)/s)/11?
9
Suppose 6*g - 3*o - 120 = 3*g, 5*o = 4*g - 164. Suppose -2*r - 5*u = -693 - 485, -2864 = -5*r + u. Calculate the remainder when r is divided by g.
34
Let z(y) = -2*y - 3. What is the remainder when ((-624)/(-3432))/((-2)/(-517)) is divided by z(-5)?
5
Let j(l) = l**3 - 55*l**2 + 109*l - 140. What is the remainder when 23709 is divided by j(53)?
16
Suppose 16*q - 5295 - 1904 - 241 = 0. What is the remainder when 943 is divided by q?
13
Let t = 39 + -34. Suppose -3*m = 2*h - 3*h + 130, 730 = t*h + 5*m. Suppose 4*g = -5*l + 100, -5*g + 35 = 4*l - 36. What is the remainder when h is divided by l?
22
Let t(v) = 4177*v - 50123. Suppose -12 = -k - 2*k, -5*k + 25 = 5*a. What is the remainder when a is divided by t(12)?
0
Let z(o) = o**2 + 7*o + 3. Suppose 0 = n + 4*x + 27, -3*n = -4*x - 4 + 5. What is the remainder when 21 is divided by z(n)?
0
Calculate the remainder when 447 is divided by (-2)/6 + 19/((-1254)/(-3454)).
31
Suppose -21*m = -3934 - 28637. Suppose -1615 = -8*v - m. Calculate the remainder when 92 is divided by v.
4
Let w be 3/7 + 9/(-21). Suppose 0 = 2*m - w*m - r + 2, -4*m + 3*r - 2 = 0. What is the remainder when (-6)/m - (-4)/1 is divided by 4?
3
Let a be (84/(-35))/(3/((-45)/6)). Let c = a - 4. Suppose 0*d = -t - d + 19, t - c*d - 10 = 0. Calculate the remainder when t is divided by 10.
6
Suppose -3*b - 9 + 15 = 0. Suppose 4*z + 0*z + 4*w = 140, 2*z = b*w + 58. Calculate the remainder when z is divided by 18.
14
Let q(n) = -4*n**2 - 13*n - 7. Let p be q(5). What is the remainder when 136 is divided by 1/((-1)/(p/(-684)) - -4)?
7
Let i(u) = -3*u**3 + 2*u**2 - u + 4. Calculate the remainder when i(-4) is divided by ((7 - 345)/(-13))/2.
11
Suppose -5*p = 3*d - 635, -3*p - 46*d + 42*d + 370 = 0. What is the remainder when 2074 is divided by p?
124
Let s = 5508 + -5477. Let i(b) = 96*b**3 - b**2 + b - 1. Let z be i(1). Suppose -z = -7*p + 2*p. Calculate the remainder when s is divided by p.
12
Suppose 4 + 13 = 3*u + w, -4 = -2*w. Calculate the remainder when 32/(-160)*u/(-2)*838 is divided by 10.
9
Suppose -193*u - 19*u + 1760 + 10536 = 0. Calculate the remainder when 195 is divided by u.
21
Suppose -271715 = -122*v - 89081. What is the remainder when v is divided by 60?
57
Let w(s) = -53*s - 704. Calculate the remainder when 715 is divided by w(-14).
31
Suppose 9670*z + 315 = 9685*z. Let a(t) = t**3 + 4*t**2 + 3*t. Let o be a(-2). Suppose -z = -o*q + 53. Calculate the remainder when q is divided by 10.
7
Let t be 22/((-3)/(-8 - -2)). Suppose 9*x - 260 = -t. Let d = x + -23. What is the remainder when 1 is divided by d?
0
Let h(s) = 2*s + 4. Let b = 138 - 136. What is the remainder when h(4) is divided by (6 + 2/b)*1?
5
Suppose -46 + 76 = 6*z. Suppose z*g = -3*q + 3*g + 29, 2*q + 5*g = 12. Calculate the remainder when 28 is divided by q.
6
Let y(h) = -h**3 + 7*h**2 - 3*h - 13. Suppose -2*f = 2*f - 8, 4*v - 12 = 4*f. Calculate the remainder when 395 is divided by y(v).
21
Let z(w) = -w**2 - 20*w - 92. Let v be z(-8). Suppose l = 5*s - 231, -s = l + v*l - 67. What is the remainder when 234 is divided by s?
46
Suppose 3691 + 39574 - 7324 = 283*r. Calculate the remainder when 2406 is divided by r.
120
Let r be (-4 - 50/(-6)) + (-6)/(-9). Suppose -r*z + 220 = 5*y, z - 165 = -5*y + 39. Let v = -22 + 141. Calculate the remainder when v is divided by y.
39
Let f = -9547 - -9629. Let q(x) = 6*x - 11. What is the remainder when f is divided by q(9)?
39
Let b be (-50)/15*(63/6)/7. Let j(t) = -5*t + 1. Let d(r) = -21*r + 5. Let c(y) = -2*d(y) + 9*j(y). Calculate the remainder when 41 is divided by c(b).
13
Let p(l) = -52*l + 3420. Calculate the remainder when p(44) is divided by 285.
277
Suppose -3*w = -0*w - 90. Let f = 329759 - 329747. Calculate the remainder when w is divided by f.
6
Let i(m) = m**2 + 9*m + 16. Let o be i(-7). Suppose 3*u - 52 = -4*r, 2*u - o*r - 4 = 40. Calculate the remainder when 6 is divided by 30/u + 6/4.
0
Let z = -36397 + 36433. What is the remainder when 4501 is divided by z?
1
Suppose -62 + 27 = -7*c. Suppose 3*y - 4*w - 92 = y, -w = -c. Calculate the remainder when y is divided by 25.
6
Calculate the remainder when ((-138)/(-24) - 2)/(-6*(-10)/28560) is divided by 179.
174
Suppose 21 = 5*u - 2*u. Let m(x) = -12*x**2 + u*x + 293 - 266 + x**3 + x**2. Calculate the remainder when m(12) is divided by 43.
40
Let y = -2 + 16. Suppose 3*n + q - 23 = 0, 0 = 5*n - 4*q - 30 + 3. Suppose -n*z - 300 = -328. Calculate the remainder when y is divided by z.
2
Suppose -g + 5*g + 264 = 0. Let l = 153 + g. Let y = l - 70. What is the remainder when y is divided by 6?
5
What is the remainder when 650 is divided by (1 - (-25)/20)*(-15)/(270/(-1704))?
11
Let k(h) = 8*h + 2439. What is the remainder when k(-13) is divided by 14?
11
Let s(u) = -u**3 - 18*u**2 + 20*u + 46. Let h be s(-19). Suppose -53 + h = -2*v. Let w = 196 + -134. Calculate the remainder when w is divided by v.
10
Suppose -j - 25 = -6*j - 5*x, 4*j - 2 = 2*x. Suppose -j*y - 8 = 0, 29 = q - 2*y - 11. Calculate the remainder when (-352)/(4/(-1)) - -3 is divided by q.
27
Let v = -109 + 147. Suppose 4*j + m = v, 0*j - 2*m - 14 = -j. Suppose -1484 = -4*g - j*g. Calculate the remainder when g is divided by 12.
10
Let z(o) = 0*o**2 - 25 - 9*o**2 + 14*o + 23*o**2 - 10*o**2. What is the remainder when z(6) is divided by 30?
23
Let j = -25 - -64. Let t(w) = 144*w + 10340. Calculate the remainder when t(-71) is divided by j.
38
Let f(d) = -3*d**2 - 3*d + 6. Let i be f(-5). Let a = i + 39. What is the remainder when 14 is divided by (-80)/a - 1/3?
4
Let l(v) = 27*v**2 - 316*v + 943. What is the remainder when l(3) is divided by 228?
10
Suppose -6*b - 135 - 201 = -30*b. Let w = 5 + 0. What is the remainder when 263/5 - (-2)/w is divided by b?
11
Let a(b) = -b**2 - 9*b + 8. Suppose 15*r - 4179 = -54. Let p = r + -268. What is the 