
Let h(n) be the third derivative of -n**6/720 + 7*n**5/120 + 5*n**4/24 + 18*n**2. Let c(t) be the second derivative of h(t). What is the tens digit of c(-5)?
1
Suppose 13*n = 3*d + 9*n - 29625, 0 = -4*d - 6*n + 39432. What is the hundreds digit of d?
8
Let s be -3*(-12)/(-63) - (-1728)/(-14). Let i = s + 128. Suppose 536 = i*x + 2*a, 3*x + a + 412 = 6*x. What is the hundreds digit of x?
1
Let x(y) = -2*y**2 + 88*y + 76. Let m be x(44). What is the hundreds digit of ((-912)/(-32))/(6/m)?
3
Let w(d) = 135*d + 4. Let y(u) = 133*u + 4. Let k(g) = 4*w(g) - 5*y(g). What is the hundreds digit of k(-1)?
1
Suppose 0 = -0*s - 2*s + 2*h - 106, 0 = -s - 4*h - 78. Let k = -45 - s. Suppose -19*l = -k*l - 84. What is the tens digit of l?
1
Let j(y) = -171*y - 139. Suppose 1178*c + 9 = 1177*c. What is the hundreds digit of j(c)?
4
Let v = 156707 - 84761. What is the hundreds digit of v?
9
Let a(i) = -4*i**2 - 10*i - 11. Let u be a(10). Let s = u + 687. What is the units digit of s?
6
Suppose 43*h = 46*h - 3. Let d(u) = 89*u**3 + u**2 + u - 1. Let b be d(h). What is the units digit of 754/9 + 20/b?
4
Suppose -4*s = f - 2192, -f = f - 8. Suppose 47*c - 31 - 63 = 0. Suppose c*a = m - 203, -2*m - 4*a = 165 - s. What is the hundreds digit of m?
1
Suppose 2*k + j - 17040 = 0, -5*k + 42578 = -j - 2*j. What is the tens digit of k?
1
Let p(g) = -g + 41. Let b be p(-21). Let o = 89 + b. Let h = o - 75. What is the tens digit of h?
7
Suppose -8*u - 22 + 310 = 0. Let r = u - -307. What is the hundreds digit of r?
3
Let z(c) = -c**2 - 24*c - 47. Let a be z(-19). Let u = 59 + a. What is the hundreds digit of u?
1
Suppose 18*d + 102*d = 7221120. What is the tens digit of d?
7
Let m(k) = -5884*k - 739. What is the thousands digit of m(-3)?
6
Let x(j) = 2*j + 3. Let k be 0*(2 - 3/2)*1. Let m be x(k). What is the units digit of 339*3/27 - (-1)/m?
8
Suppose -23*r - 4920 = 6350. Let o = r - -812. What is the units digit of o?
2
Suppose 4*a - 1694 + 14 = -5*w, -1045 = -3*w + 5*a. Let b = 628 - w. What is the units digit of b?
8
Suppose 4*h + 80 = 44*h. What is the units digit of (1047*h)/(-24 + 26)?
7
Suppose -4*s - 2*s = 0. Suppose 2*i + 0*i - 1004 = s. Suppose -4 = j - 0*j, -2*b + 3*j + i = 0. What is the tens digit of b?
4
Let p be (1/(2/2782))/(-4 + 5). Suppose -508 = -9*b + p. What is the units digit of b?
1
Let j = -5074 - -13406. What is the units digit of j?
2
Suppose -5*k = 4*u - 5, -4*u - 3*k + 12 = 1. Suppose 30 + 4 = -2*y - 2*p, -u*p = y - 3. What is the tens digit of 0 + 0 - -51 - (21 + y)?
5
Let v be -25 + (2 + (-48)/20)*-5. Suppose 2*i = -4*u - 3*i + 193, -5*u = i - 257. Let n = u - v. What is the units digit of n?
5
Suppose 2 - 1 = u - l, -3*l + 1 = -2*u. Suppose 4*j = 2*j + 248. What is the tens digit of 1/(u*1/j)?
3
Let z(g) = 5*g - 7. Let h be z(2). Let y(n) = -160*n + 135*n - 4 - h. What is the units digit of y(-3)?
8
Let c(s) = s**2 - 14*s - 77. Let y be c(-5). Suppose 2*w - y = 5*h - 6*h, 3*w - 5*h - 27 = 0. What is the units digit of w?
9
Let l = 159 + -168. What is the hundreds digit of (-1851)/l - (-1)/3?
2
Let p(g) = 64*g**2 + 180*g - 863. What is the hundreds digit of p(5)?
6
Let c(n) = n**3 - 1. Let f(b) = 3*b**2 + 25*b + 29. Let m(w) = c(w) - f(w). Let s(z) be the first derivative of m(z). What is the hundreds digit of s(-8)?
2
Suppose -m - 7117 = -17333 - 8995. What is the units digit of m?
1
Let u(v) = -v**3 - 15*v**2 + 15*v + 230. Let q be u(-15). Let i(r) = 33*r**2 - 42*r + 245. What is the units digit of i(q)?
0
Let o(t) = -29*t - 13. Suppose 0 = 5*q - 4*s - 15 + 55, 2*q = 4*s - 28. What is the units digit of o(q)?
3
Suppose 6*t - 6 = 96. Suppose -2*m + 1110 = -t*m. Let h = m - -183. What is the hundreds digit of h?
1
Suppose 5*i - r = 6882, -i - 5*r = -314 - 1052. Suppose -5*w = -4*k - i + 248, 903 = 4*w - 3*k. What is the tens digit of w?
2
Let w(q) = q**3 - 70*q**2 + 175*q - 1328. What is the tens digit of w(68)?
2
Let f = -2 - -6. Suppose 138 = -2*q - f*q. Let o = 84 + q. What is the tens digit of o?
6
Suppose 0 = -2*b + 3*b + 41. Let j = -36 - b. Suppose 4*u - 3*u = j*w - 387, -u = -3*w + 231. What is the units digit of w?
8
Suppose 2*q + 76056 = 4*x, -469*x + 473*x = -2*q + 76080. What is the hundreds digit of x?
0
Let f(p) = 20 + 3*p**3 - 12*p**2 + 20 + 10*p + 2*p - 35. What is the hundreds digit of f(8)?
8
Let h(x) = -3*x - 7. Let d be h(-4). Suppose -7*j - 930 = -4*q - 9*j, 0 = -5*j - d. What is the tens digit of q?
3
Suppose 0 = -3*h + 34 + 11. Let o = 137 - 106. Suppose 5*l = -h, -o + 169 = 3*f - l. What is the tens digit of f?
4
Suppose 0 = 78*v - 35*v - 2236430. What is the tens digit of v?
1
Let r(b) = 4*b**2 - 170*b + 1346. What is the ten thousands digit of r(94)?
2
Let r = -117 + 120. Let b(d) = d**2 + 9*d + 7. Let c be b(-18). Suppose 3*u - r*s - c = 182, 2 = -2*s. What is the tens digit of u?
1
Let s be ((-3)/(-42)*8)/(4/14). Suppose -3*z + 813 = -2*u - u, 0 = 4*z + s*u - 1054. What is the units digit of z?
6
Suppose 5*k + 108 = 9*k. What is the units digit of k/(-162) - (-5522)/12?
0
Let s(f) = -36*f + 830. Let b be s(23). Suppose -4*v = -411 - 533. Suppose b*l + 88 - v = 0. What is the tens digit of l?
7
Suppose g - 30956 = -4*u, -2*u - 181*g = -178*g - 15458. What is the units digit of u?
1
Suppose 0*l = 5*l - 3*c - 4, -2*l - c - 5 = 0. Let i be (11 + 16/(-4))/(l*1). Let n = i - -76. What is the tens digit of n?
6
Suppose -49*g + 56*g - 504 = 0. Suppose 2*c + 3*c - 205 = 0. Suppose 47*h - g = c*h. What is the units digit of h?
2
Suppose -20 = 12*c - 17*c. Let b(i) = c - 1 + 10 + 5*i + 6*i. What is the tens digit of b(7)?
9
Suppose 5*i - 608 = 627. Suppose 0*d - d = 4*v - i, -2*d = 4*v - 486. What is the units digit of d?
9
Let y = 9365 + 284. What is the thousands digit of y?
9
What is the units digit of (-14 + 2350/8)/((-2)/(-8))?
9
Let s(l) = 4*l**2 + 170*l**3 + 74*l**3 + 180*l**3 - 1 - 58*l**3 + 98*l**3. What is the tens digit of s(1)?
6
Let k = -5630 + 22520. What is the thousands digit of k?
6
Let a(s) = 83*s**2 + 88*s + 1340. What is the units digit of a(-13)?
3
Suppose 883179 = -27*y + 148*y. What is the units digit of y?
9
What is the tens digit of (94990/42)/23*54?
1
Suppose 3*h - 31 = -1. Let s(z) = 40*z + 18. What is the hundreds digit of s(h)?
4
Let f be (5 + -8)*((-2 - 3) + 0). Let r(j) = 80*j + 187. What is the units digit of r(f)?
7
Let w = 1 - -9. Suppose -2*k + 2*a = -0*k - 108, -5*k = 2*a - 298. Let r = k - w. What is the units digit of r?
8
Let m(d) = 2*d**3 + 8*d**2 - 4*d - 10. Let f be m(-4). Suppose -2*r + 8 = -f*r, 0 = -3*u + 2*r + 442. Let a = 44 + u. What is the units digit of a?
0
Let l(u) = -7*u**2 - 60*u + 20. Let m(b) = 3*b**2 + 30*b - 10. Let r(y) = 4*l(y) + 9*m(y). What is the units digit of r(22)?
6
Suppose -q + 25*s + 2 = 24*s, -q + 1 = -2*s. Suppose 2*h = -q*d + 5808, 3*h - h + 7730 = 4*d. What is the tens digit of d?
3
Suppose 67*u + 6139763 + 3273925 = 363*u. What is the hundreds digit of u?
8
Suppose 0 = 5*c, -18*b + 16*b + 4*c - 282 = 0. Let j = 871 + b. What is the tens digit of j?
3
What is the tens digit of (-180074)/(-28) - (-108)/(-504)?
3
Let b(r) = 3*r**3 - 5*r**2 - 2*r - 3. Let i = 58 - 54. Let n be b(i). Suppose 5*f - 6*f + n = 0. What is the tens digit of f?
0
Suppose 2*j = -5*v + 2*v + 46, -2*j - 2*v = -44. Let m be j/(-3)*(-48)/10. What is the units digit of (-813)/(-12) - 24/m?
7
Suppose 49*t + 77*t + 979452 = 162*t. What is the tens digit of t?
0
What is the units digit of 41/((-861)/(-60116)) + -3*(-4)/(-18)?
2
Let o(k) = 30*k + 30. Let b be o(-1). Suppose b = -558*a + 566*a - 6688. What is the tens digit of a?
3
Let z = 48 + -40. Suppose z*s = 13*s - 160. Suppose 0 = 5*j - j - 5*w - 32, -s = -4*j - 2*w. What is the units digit of j?
8
Let j(s) = 3*s**2 + 28*s + 65. Let d be j(-3). What is the tens digit of (((-3116)/d)/1)/((-1)/2)?
7
Let b(x) = 3*x**2 + 2*x - 5. Let s be b(-5). Suppose 3*a = -9*a + s. What is the tens digit of (22/5)/(a/50)?
4
Suppose 175*i - 174*i = -2*z + 59, -4*i - z = -215. Suppose -4*n = -2*k - 0*n - 38, -2*n - 7 = k. Let p = i - k. What is the units digit of p?
6
Let n(s) = -4*s - 42. Suppose -25*j = -21*j + 48. Let t be n(j). Suppose 53 = t*y - 745. What is the units digit of y?
3
Let h(s) = -s**2 - 9*s + 1144. Let i be h(0). Suppose i = -55*