 the third derivative of i**6/120 + 7*i**5/30 - 19*i**4/24 - i**3/2 + 11*i**2 + 4*i. What is the units digit of u(-13)?
3
Let g = 53 - 49. Suppose 5390 = g*f - 2*o, -f = -0*f - 3*o - 1355. What is the units digit of f?
6
Suppose 0 = -m + 3*h - 16, 3*m + h + 48 = -h. Let t be ((-27)/(-2))/(2/4). Let x = m + t. What is the units digit of x?
1
Let k = 312 + -303. Suppose -a - 5*o = -725, 0 = -12*a + k*a - 5*o + 2125. What is the units digit of a?
0
Suppose 2*g - 5 = -5. Suppose -3*a + 572 - 14 = g. What is the tens digit of a?
8
Suppose 269861 = 28*b + 65212 - 244947. What is the units digit of b?
7
Suppose 139606 + 6109 + 11348 = 17*l. What is the thousands digit of l?
9
Let f(k) = 28*k + 15. Let x(p) = -2*p**2 - 16*p - 7. Let t be x(-7). What is the units digit of f(t)?
1
Suppose 144*k + 267378 = 119*k + 1023328. What is the tens digit of k?
3
Let d(r) = -439*r + 1817. What is the tens digit of d(-19)?
5
Let s(v) = -2*v**3 - 12*v**2 - 2*v - 12. Let r be s(-7). Let d = r + -61. What is the units digit of d?
9
Let s(h) = -43*h**2 - 2*h + 30 + 44*h**2 - 9*h. Let i be s(7). Suppose 210 = 3*g - 4*w, -2*g - i*g + 252 = 4*w. What is the units digit of g?
6
Suppose -4*n - 285 + 297 = 0. Suppose n*p - a - 1051 = p, 4*a = -4*p + 2084. What is the tens digit of p?
2
Let c(l) = 89*l + 8. Let r be c(8). Let w be r/(-28) + 8/(-28). Let f = w - -55. What is the units digit of f?
9
Let k(n) = 2*n**3 + 20*n**2 - 20*n + 24. Let l be k(-11). Suppose g = x + 213, -l*g = x - 586 + 148. What is the units digit of g?
7
Let s(q) = q**3 - 11*q**2 - 26*q + 30. Let t be s(13). What is the units digit of (t/8)/(17/1428)?
5
Let z(q) = -16*q - 29. Suppose -3*a = -2*a + 4*a. Suppose a = 4*x - 17 + 57. What is the units digit of z(x)?
1
Let c(b) = 1923*b**2 + 220*b + 8. What is the units digit of c(4)?
6
Suppose 10 = -22*y + 24*y. Suppose 2*f = -z - 0*z, -z = y*f + 12. What is the units digit of z?
8
Let r = 46 - 46. Suppose -19*c + 17*c + 116 = r. Let m = 65 - c. What is the units digit of m?
7
Let h(p) = -4*p - 37. Let r(b) = -b**2 + 3*b. Let u be r(5). Let g be h(u). Suppose -2*x + 70 = -g*o, -x + 3*o - 11 = -43. What is the units digit of x?
8
What is the hundreds digit of 5/25 - (-31448)/10 - (106 - 111)?
1
Suppose 17*a = 42866 + 81404. What is the hundreds digit of a?
3
Let s = -84 + 70. Let w = 26 + s. What is the tens digit of (w + -9)/((-1)/150*-2)?
2
Let k(r) = 10*r**2 - 37*r + 6. Let g(u) = 20*u**2 - 74*u + 10. Let d(l) = -6*g(l) + 13*k(l). What is the hundreds digit of d(12)?
0
Suppose 0 = -5*i + 4*k + 18343, 2*k + 7338 = -10*i + 12*i. What is the tens digit of i?
6
Let i be (12 - 11)/((-2)/(-8)). Suppose 4*f = -h + 4, -4*h + h + i = 4*f. Suppose 0 = 2*y - q - 86, h = 3*y - 0*q - q - 130. What is the units digit of y?
4
Suppose -16853 = -2*n + o + 2*o, o - 33657 = -4*n. What is the thousands digit of n?
8
Suppose 0 = -3*t - 106*t + 40439. What is the hundreds digit of t?
3
Let a(w) = -5*w**3 - 2*w**2 - 13*w - 79. Let r(c) = 6*c + 56. Let m be r(-10). What is the tens digit of a(m)?
6
What is the units digit of (-182910)/(-16) - (-16)/(121 - -7)?
2
Let h(j) = 69*j**2 + 5*j - 6. Let n be (-2)/(-6*(-2 + 38/18)). What is the units digit of h(n)?
0
Suppose 12*t - 17*t = 20. Let c(s) = 23*s**2 + 5*s - 7. What is the tens digit of c(t)?
4
Suppose -4*h - 9 = -5*s - 39, -h = 0. Let l be 2/(s/(-4) - 1). Suppose -4*u + 208 = 4*q - 500, -2*q + 348 = -l*u. What is the hundreds digit of q?
1
Suppose -3*b + 15 = -0*b. Suppose c + 2*c = -4*j - 4, b*j + 5*c = -10. Suppose -n + 4*g = -149, 298 = 2*n - j*g + 6. What is the units digit of n?
5
Let y(f) = 368*f - 1599. What is the thousands digit of y(63)?
1
Suppose f - 1843 = -5*w, -2*f + 7*w = 6*w - 3697. Suppose -5*n = -4*u + 1830, 3*u + 4*n = -u + f. What is the tens digit of u?
6
Let s be (3 + (-45)/20)*136. Let q = 173 - s. Suppose 0 = -5*a + 389 + q. What is the tens digit of a?
9
Suppose 2*h = 2*z + 10, -2*h - 5*z + 0*z = -31. Suppose 2*c - 7*q + 4 = -3*q, q - 1 = -5*c. What is the units digit of (-2)/(h/(-84) - c)?
1
Let z be 3022/6 - (-1)/3 - 2. What is the hundreds digit of (z/(-4))/(9/(-54))?
7
Let m = -40 - -126. Let l = 91 - m. Suppose 0 = l*b - 8*w + 3*w - 1245, 0 = -5*w. What is the tens digit of b?
4
Let x(l) = -174*l - 3041. What is the tens digit of x(-43)?
4
Suppose 20 = 4*x - 80. Suppose -u - 1 = -x. Let b = u + 68. What is the units digit of b?
2
What is the units digit of 10/(-4) + 3 - (-326268)/72?
2
Let j(k) = k + 18. Let a be j(-12). Let s be 26/(-39) - (-1882)/a. Suppose 2*v + 3*l - 167 = 0, -4*v = 4*l - 5*l - s. What is the tens digit of v?
7
Let k(o) = 1164*o**2 - 27*o - 27. Let q be 6/(-4)*((-2)/(-3) - 0). What is the tens digit of k(q)?
6
Suppose -3*j - 2326 + 17542 = 5*j. What is the tens digit of j?
0
Suppose 2700 = -21*q + 16*q. Let o = q - -1170. What is the units digit of o?
0
What is the thousands digit of (-4)/(-3) + -3 + (315350/(-15))/(-14)?
1
Suppose -2*w + 3*w = -63. Suppose 1408*n - 8600 = 1451*n. Let b = w - n. What is the hundreds digit of b?
1
Let h = 133508 - 77744. What is the ten thousands digit of h?
5
Let r(j) = 5*j**2 + 4*j - 3. Suppose -11*f + 24 = -20. Let a be r(f). Suppose -3*o + 537 = -a. What is the tens digit of o?
1
Let q be (-36)/(-20) - 1/(-5). Suppose -q*t + 5306 = 3*k, -5*t - k = -14262 + 997. Suppose -16*i = -t - 1203. What is the tens digit of i?
4
Let x(h) = -h**2 - 24*h + 4. Let q be x(-10). Suppose q = 20*u - 17*u. What is the units digit of u?
8
Let b = -82 + 41. Let x = b - -58. Let d = -12 + x. What is the units digit of d?
5
Let b(r) = 601*r + 1584. What is the units digit of b(29)?
3
Suppose -3*k - c + 21 = 0, 7*c - 6*c - 37 = -5*k. Suppose -k*p = 4037 - 14325. What is the units digit of p?
6
Let f = -8035 + 16743. What is the thousands digit of f?
8
Let k(t) be the second derivative of -t**3/3 - t**2 + 12*t. Let d be k(-4). Suppose d*u - u = 290. What is the units digit of u?
8
Suppose -z - 3*d = -92626, -4*z - 211*d = -208*d - 370558. What is the tens digit of z?
4
Suppose 36 - 16 = 2*s. Let p be (-4 - (-35)/s)*-8. Suppose 3*h = -p*g + 5, -3*h - 4 - 1 = 2*g. What is the units digit of g?
5
Let k(l) = 81*l**2 - 4*l + 3. Let u be k(1). Let g be ((-174)/(-15))/(8/u). What is the tens digit of g - (-2 + 10/2)?
1
Suppose -3*h = 2*h + 5*h. Suppose h = -7*q + q + 4806. What is the tens digit of q?
0
Suppose 2*q - 9209 = -4*i + 2963, 5*i = -2*q + 12171. What is the tens digit of q?
8
Suppose 0 = 4*z - 263 + 235. What is the hundreds digit of z/((-14)/(-1104)) + -2 + -2?
5
Suppose 11*i - 3555 = 2*i. Let q = 588 - i. What is the hundreds digit of q?
1
Suppose -a + 11238 = -4*u, -3*a + 178*u - 183*u + 33748 = 0. What is the hundreds digit of a?
2
Let l = 46632 - 27366. What is the ten thousands digit of l?
1
Let v(l) = l**3 + 10*l**2 - 3*l - 11. Suppose 32 + 0 = -4*o. Let t be v(o). Suppose 946 = 7*q + t. What is the hundreds digit of q?
1
Let p be (-5)/(75/(-6)) - 581/(-35). Suppose 10*s = p*s - 13006. What is the units digit of s?
8
Suppose -26*a + 127736 = -52*a + 40*a. What is the tens digit of a?
2
Let f = 141 - 144. What is the units digit of (-131)/(2/1 + f)?
1
Let n = 177 - 173. Let q(u) = u**3 - 18*u**2 + 21*u + 25. Let l be q(17). Suppose 5*t + 25 = -k + l, 0 = 2*k - n*t - 164. What is the units digit of k?
8
Suppose -3*x = 3*x. Let b be 11*7 + (4 - 0). Suppose x = 11*t - 10*t - b. What is the units digit of t?
1
Let r(i) = i - 47. Let j be r(-2). Let s = 851 + j. What is the hundreds digit of s?
8
Suppose 0 = 3*n + 2*d - 30, 18 = n - 2*d - 0*d. Let t be ((-8)/n)/((-16)/72). What is the units digit of (-23 - (2 + 2))*-3 - t?
8
Suppose 45*r - 240 = 29*r. What is the hundreds digit of (-200)/(3*(-1)/r)?
0
Let b(r) = 44*r - 50. Let z = 71 - 63. What is the hundreds digit of b(z)?
3
Let x(h) = 4*h - 14. Let r be x(18). Suppose 1332 + r = 5*t. What is the tens digit of t?
7
Let p = 31354 - 4233. What is the thousands digit of p?
7
Let u(s) = s**2 + 26*s + 57. Let p be u(-24). Suppose p*k - 114 = 7*k. What is the tens digit of k + (10/(-15))/((-4)/(-6))?
5
Let i = -114 + 110. What is the units digit of 0/2 - -4 - (-279 - i)?
9
Suppose -10*x + 4*v + 18640 = -8*x, x - v = 9315. What is the thousands digit of x?
9
Let a(i) = i**3 + 18*i**2 - 23*i + 27. Let x = 12 +