 + 8874 + 30944 = 20*a. Calculate the remainder when a is divided by 81.
80
Suppose -6*s + 3*s - 9 = 0. Let u(d) = -d**3 + 6*d**2 - 2*d - 4. What is the remainder when u(s) is divided by 14?
13
Let t(s) = -s**3 + 8*s**2 + 3*s - 29. Let z be t(8). Let l(q) = -q**2 - 15*q - 22. Calculate the remainder when 207 is divided by l(z).
11
Let p = -265 - -440. Suppose 4*k - p + 71 = 0. Calculate the remainder when 412 is divided by k.
22
Let m = -73 - -141. Suppose -q - 4*s + 15 = -33, 0 = -q + 2*s + 24. What is the remainder when -2 + m + (-20)/(-1 - -6) is divided by q?
30
Suppose 0 = -3*k + 5*q + 126, -k - q + 99 = 65. Let s = 70 - 53. Calculate the remainder when k is divided by s.
3
Let v be (704/(-28))/4 - 6/(-21). Let f(u) = -u**3 - 5*u**2 + 4*u - 8. Let i be f(v). Calculate the remainder when (6/i)/(3/(-85))*-2 is divided by 22.
19
Let v(d) = -d**2 + 46*d - 71. Let n be v(25). Let o = n - 233. What is the remainder when o is divided by 28?
25
Let l(n) = -189*n - 1295. Calculate the remainder when 3543/27 + (-4)/18 is divided by l(-7).
19
Suppose -289*y + 250*y = -546. What is the remainder when 486 is divided by y?
10
Suppose 6*p = -11 - 13. Let n(i) = 13*i**2 + 7*i - 1. Let r(l) = 6*l**2 + 3*l. Let w(q) = p*n(q) + 9*r(q). What is the remainder when 17 is divided by w(2)?
7
Let o(f) = -9*f**2 + 10*f - 10. Let p be o(4). Let a = -46 - p. What is the remainder when a is divided by 23?
22
Let c(f) = 5*f**2 - 10*f - 304. What is the remainder when c(12) is divided by 289?
7
Let b(z) = -4*z**3 + 5*z**2 + 9*z + 3. Let t be b(-2). Let v = -70 + t. Let n = 70 + v. What is the remainder when n is divided by 5?
2
Suppose 8*q = 7*q. Suppose q = -5*k + 2*k + 12. Suppose -2*g = 0, -2*l - k*g = 2*l - 348. What is the remainder when l is divided by 15?
12
Suppose 5*r + 4*k = 15, 5*r - k + 23 = 38. Suppose -3*m = -2*b - 16, 0 = r*m + 3*b - 51 + 15. What is the remainder when 407 is divided by m?
7
Suppose -467*g + 3376 = -451*g. What is the remainder when 674 is divided by g?
41
Let t(j) = 35*j**2 + 3. Let s(n) = n**3 + 5*n**2 - n - 4. Calculate the remainder when t(1) is divided by s(-4).
6
Let i(u) = u**2 + 19*u + 135. Let m = -175 + 155. What is the remainder when i(m) is divided by 64?
27
Let y be (-3*33/(-18) + -5)*30. Suppose 3*h + y*h - 378 = 0. What is the remainder when 187 is divided by h?
19
Let y = -63 - -90. Suppose 3*m - n - n - 1057 = 0, -1725 = -5*m - 4*n. What is the remainder when m is divided by y?
25
Let l = 20666 + -19263. What is the remainder when l is divided by 349?
7
Let j = -35 + 68. Let g = j - 46. Let h(x) = -x**3 - 12*x**2 + 8*x - 18. What is the remainder when 232 is divided by h(g)?
44
Let m be -642*(-2)/(-3) + 8 + -3. Let a = -325 - m. Calculate the remainder when a is divided by 53.
45
Let m be 9/(-6)*-2 + (-13 - 3). Let j(w) = -3*w**2 - 38*w + 34. Calculate the remainder when 39 is divided by j(m).
18
Suppose -348847 = -62*o - 98*o - 58447. Calculate the remainder when o is divided by 23.
21
Let z = -9 + 11. Suppose 2*j - 8 = -z*j. Suppose j*p + 0 = 12. Calculate the remainder when 15 is divided by p.
3
Let t(i) = -i**2 + 9*i + 1. Calculate the remainder when 7 + 39 - ((-6)/14 + (-730)/(-70)) is divided by t(7).
6
Suppose -3*a + 239 = l, 4*a = 4*l - 596 - 296. Suppose 6*w - l - 511 = 0. What is the remainder when w is divided by 18?
15
Let c(x) = 311*x - 211. What is the remainder when c(3) is divided by 82?
66
Let v = 1490 + -1408. What is the remainder when v is divided by 22?
16
Suppose 19*i = -43*i + 9*i + 689. Suppose -4 - 17 = t. Let w = 30 - t. Calculate the remainder when w is divided by i.
12
Let x be (-1 + 4)*85/15. Calculate the remainder when (2 - x - -6)*-8 is divided by 16.
8
Let m(v) be the third derivative of -23*v**4/24 - 12*v**3 + 4*v**2 - 9*v. Calculate the remainder when 151 is divided by m(-4).
11
Suppose 4*x = -0*x - 288. Let d = -60 - x. Let u = 14 - d. Calculate the remainder when 19 is divided by u.
1
Let l(x) = x + 3. Let v be l(-4). Let g be (-18)/27*(v + -2). Suppose 0 = -g*s - 3*z + 72, s - 2*z - 29 = -0*z. Calculate the remainder when s is divided by 9.
6
Suppose 113240*s - 32 = 113241*s - 4*q, 0 = 3*s - 4*q + 24. Let g(f) = f. What is the remainder when s is divided by g(4)?
0
Let u = 21 - 11. Suppose -9*m = -7*m - u. Suppose -3*i - 4 - 12 = -s, -5*i = m*s. Calculate the remainder when 5 is divided by s.
1
Let z be 2*(-477)/27*30/(-4). Suppose 2*p - 8 = 0, -5*v + 2*p = -82 - z. Calculate the remainder when v is divided by 9.
8
Let r(p) = -p**3 + 10*p**2 - 8*p - 4. Let f be r(9). Let a = f + 22. Suppose -a + 7 = -2*j. What is the remainder when 26 is divided by j?
6
Suppose 0 = -9*b + 39 - 12. Let r = 276 - b. Suppose 2*d = 5*d - r. What is the remainder when d is divided by 47?
44
Let z(l) be the second derivative of 28*l**3/3 - 67*l**2 + 95*l. What is the remainder when 356 is divided by z(4)?
86
Let v(i) = i - 12. Let k be v(16). Suppose 0 = -3*p + 54*c - 51*c + 54, 74 = k*p - 2*c. Calculate the remainder when 227 is divided by p.
18
Let y = -730 + 795. Let p = y + -17. Calculate the remainder when p is divided by 4.
0
Let c = 33 + -20. Let f(q) = -q**2 + 22*q - 24. Let j be f(c). Let y = -80 + j. What is the remainder when 155 is divided by y?
12
Let o = -14621 - -15097. What is the remainder when 967 is divided by o?
15
Suppose -5*b = 15, -4*b + 21 = -4*n + 165. Let o = -34 - -34. Suppose o = -7*m + 570 + 102. What is the remainder when m is divided by n?
30
Let b(u) = -2*u**2 - 32*u + 5. Let d be b(-16). Calculate the remainder when 132 is divided by -28*(1*d + (16 - 22)).
20
Let v(b) = b**3 + 12*b**2 - 12*b + 19. Let w(t) = t**2 - t - 13. Let a be -3 + (10 + -4 - 3). Let k be w(a). Calculate the remainder when 9 is divided by v(k).
3
Suppose 5 = c, -4*c - 5 + 34 = v. Suppose -v*w - 19 = -208. Calculate the remainder when 82 is divided by w.
19
Let c = -179 - -219. Calculate the remainder when 281 is divided by c.
1
Let u = -8818 - -9025. Calculate the remainder when u is divided by 11.
9
Let h(b) = 2*b**3 - 7*b**2 - 8*b + 9*b**2 - 3*b**3 + 4*b**2. Let d be h(5). Let i = 87 + d. What is the remainder when i is divided by 37?
35
Suppose -32*w + 69 = -91. Calculate the remainder when (w - (-2 + 65))*-4 is divided by 59.
55
Suppose 3*w = 5*l - 2301, 45*l = 40*l + 2*w + 2299. What is the remainder when l is divided by 12?
3
Suppose 4*q - 3*q - 27 = 4*z, -11 = -3*q - 2*z. Suppose q*y - 1113 = -14*y. What is the remainder when y is divided by 27?
26
Suppose 0 = -j - 2*m + 86, 6 = -m - m. Suppose -l - l + 2*n = -154, -j = -l + 4*n. Calculate the remainder when l is divided by 19.
15
Suppose 0 = 5*o + 4*j + 148, -8*j = -5*o - 3*j - 175. Let z(v) = -11*v - 29. What is the remainder when z(o) is divided by 65?
63
Let y(x) be the first derivative of -x**4/4 + x**3 + x**2 + 23*x + 140. Let t be (1 + (-3 - -2))/(-2). Calculate the remainder when 160 is divided by y(t).
22
Let w(y) = 18*y**2 - 9*y - 29. Let x be w(7). Let n = x - 356. Calculate the remainder when n is divided by 34.
26
Let q(a) = 3*a**2 - 36*a - 95. Calculate the remainder when q(-6) is divided by 218.
11
Suppose 0 = 44*w - 31*w - 1950. Calculate the remainder when 449 is divided by w.
149
Suppose 10*p = -3*n + 12*p + 669, 108 = -18*p. Calculate the remainder when n is divided by 24.
3
Suppose -5*l = 2*g - 16, -24 = 195*g - 198*g - 4*l. What is the remainder when 167 is divided by g?
7
Suppose -2031 + 5511 = 87*x. What is the remainder when 163 is divided by x?
3
Let h(l) = 2*l**2 - 2*l - 2. Let n be (-1)/(-4) - (-1 - (-5)/4). Suppose n = -8*t + 12 + 12. What is the remainder when h(5) is divided by t?
2
Let w be 4 + (0/2 - 4). Suppose 4*y + 16 = -w*y. Let x(k) = k**3 + 5*k**2 - 3*k - 5. Calculate the remainder when x(y) is divided by 6.
5
Let d = -6 + 20. Suppose -53*c + 1437 = 12 + 47. Calculate the remainder when c is divided by d.
12
Let o be (-9)/(-3) + (-21)/3 + 0. Let k be 6/o*(-390)/45. Suppose 0*q + q = k. Calculate the remainder when 25 is divided by q.
12
Suppose 84*l + 19*l - 18144 = -9*l. What is the remainder when 251 is divided by l?
89
Suppose -7*c + 255 + 74 = 0. Let m = 68 - c. Let y(z) = -z**2 - 17*z + 23. What is the remainder when y(-16) is divided by m?
18
Suppose 0 = 4*z - 5*j + 455, -6 + 5 = j. Let d be (z/(-