f**7/840 + f**6/45 - f**4/24 + 2*f**3 - 12. Let n(o) be the third derivative of v(o). What is the tens digit of n(-6)?
7
Let o be 4/6 + 122/(-183). Suppose 2*f - 3*b = 887, 3*f + o*b - 3*b = 1323. What is the hundreds digit of f?
4
Suppose -8*s + 14149 - 150109 = -23*s. What is the units digit of s?
4
Suppose -10*d - 130830 = -256562 - 241168. What is the units digit of d?
0
Let a = 176 - -253. What is the hundreds digit of a?
4
Let x be 2/(-3) - (-3 + (-49)/(-21)). Suppose x = -5*h + 5, 0 = 3*w + 2*h - 67 - 19. Let z = w + 20. What is the tens digit of z?
4
Let r(i) = i**3 + 40*i**2 - 52*i - 49. What is the tens digit of r(-27)?
3
Suppose -4*g = 3*d - 26550, 5*d = 16*g + 10*d - 106186. What is the thousands digit of g?
6
Let u(f) = -46*f**3 + 18*f**2 + 66*f + 3. What is the hundreds digit of u(-4)?
9
Suppose -3*o = -17*o + 70. Suppose -y - 3*y = o*s - 4845, -5*s + 4850 = 3*y. What is the units digit of s?
3
Let p(y) = 143*y - 1921. What is the tens digit of p(18)?
5
Suppose -2 = -2*w - l + 1, -4*l - 8 = 3*w. What is the units digit of ((-20)/(8 - w) + 3)*-367?
4
Suppose 0 = -3*j - 2*x - 427, 4*j = 4*x - 5*x - 561. Let k = j + 328. What is the tens digit of k?
8
Let h(u) = -196*u + 590. What is the thousands digit of h(-68)?
3
Let b = 554 - 299. Suppose 8*g - 57 = b. What is the tens digit of (-6)/g + -5 + (-1538)/(-26)?
5
Suppose 0 = w + z - 52892, 5696*w = 5694*w - z + 105775. What is the units digit of w?
3
Let b(h) = 2307*h + 106. Let n be b(4). Suppose -6*s + n = 20*s. What is the tens digit of s?
5
Suppose 42854 = 5*o + g, 5*o - 302*g + 306*g = 42866. What is the thousands digit of o?
8
Suppose 50*k - 472 = 58*k. Let c(b) = -b**2 - 89*b - 189. What is the units digit of c(k)?
1
Let l(d) = 86*d + 493. What is the tens digit of l(48)?
2
What is the units digit of (-145012)/(-60) - (-14)/105?
7
Let t(p) = -p**2 + 53*p - 228. Let f be t(45). Suppose -f*v + 13270 = -122*v. What is the tens digit of v?
2
Let g(s) = 24*s - 1 + 43*s**2 + 3 - 51*s**2. Let a be g(3). Suppose -2*k - 391 = -3*f + 3*k, a*k - 266 = -2*f. What is the tens digit of f?
3
Let p(s) = 47*s - 70. Let a(o) = -46*o + 69. Let h(l) = -3*a(l) - 2*p(l). What is the units digit of h(6)?
7
Let x = -146 - -148. Let h(g) = 2*g + 5*g - 15 + 2*g**2 + x*g + g. What is the units digit of h(-8)?
3
Let q = 11818 - 6157. What is the hundreds digit of q?
6
Suppose -3*j = -8*j + 315. Let g = -61 + j. Let r = 14 - g. What is the units digit of r?
2
Let f = -441 - -451. What is the tens digit of (72/20 - 4) + 1174/f?
1
Suppose s + 4 = -0*s - o, 2*o + 8 = -4*s. Let j(m) = -m**3 - m**2 + m - 5. Let v be j(s). What is the units digit of (v/2)/(90/(-216))?
6
Let u be (86/6)/(93/12834). Let j = u + -975. What is the tens digit of j?
0
Let p = 104019 + -62881. What is the thousands digit of p?
1
Let g be 78/9 + (-4)/6. Let s = g - 32. What is the units digit of 2/s*-346 + 11/66?
9
Let p(z) be the first derivative of -153*z**2/2 - 144*z + 166. What is the tens digit of p(-6)?
7
Let p = 2276 - -10130. What is the ten thousands digit of p?
1
What is the hundreds digit of 8/44 + (-427188)/(-44)?
7
Let a be 1/5 + (-6 - 42/(-15)). What is the hundreds digit of 37*(-6 - -3)*a?
3
Let l be -5 + 2 + 0/2. Let t(u) = -u**2 + 8. Let b be t(2). What is the units digit of -1*b + (-171)/l?
3
Let w(f) = -248*f - 32. What is the hundreds digit of w(-4)?
9
Let j(s) = -s**3 + 13*s**2 + 62*s - 16. What is the tens digit of j(-13)?
7
Suppose -44*l + 62 = -202. What is the tens digit of 44/l*(21 + 66)?
3
Let y = -49 - -53. Suppose 0 = o - y, -2*t + 558 = -3*o - 490. What is the tens digit of (3 + 0)*(0 + t/6)?
6
Let j(s) = s**3 - 7*s**2 - 5*s. Let q be 9/(162/12) + (-32)/(-6). Let c be (-1 + 2/q)*(-9 - 3). What is the tens digit of j(c)?
2
Suppose 0 = 11*v - 29*v - 36. Let s(g) be the second derivative of -43*g**3/6 - g**2 - g. What is the tens digit of s(v)?
8
Let g = -22828 - -22645. Suppose -r - 115 = 297. Let i = g - r. What is the tens digit of i?
2
Let t = 1065 - 985. Suppose -83*i + t*i + 1211 = k, 2*k = -3*i + 1213. What is the tens digit of i?
0
Let v(i) = i**3 + 13*i**2 - 53*i + 13. Let x be v(-16). Let p = 177 - x. What is the tens digit of p?
8
Let l = -46 + 18. What is the units digit of (-2579)/(-4) + ((-63)/l - 2)?
5
Let g be -3*(17920/6)/8. Let y = 1643 + g. What is the tens digit of y?
2
Suppose 4*l - 158436 = 4*i, 8*i + 20 = 4*i. What is the ten thousands digit of l?
3
Let s = 25 + 1931. What is the units digit of s?
6
Suppose -5*f - 1 = 2*v + 1, -f = 4*v - 14. Let z be (-149)/f - 2/4. Let b = z + -50. What is the tens digit of b?
2
Let p(g) = -5*g**2 + 15*g - 7. Let h be p(6). Let l = 228 - 50. Let t = l + h. What is the tens digit of t?
8
What is the tens digit of -5 - -11521 - (5 - 16)?
2
Let w(q) = 12*q - 23. Let i be w(6). Let o = i + -93. Let c = 9 - o. What is the units digit of c?
3
Let l be 4 + (220/(-18) - (-10)/45). Let m be ((-12)/l + 3 - 3)*2. Suppose -4*k = -5*c - 485 - 305, -5*c + 575 = m*k. What is the units digit of k?
5
Let u(l) = 10*l - 3*l - 5*l + 2*l**2 + 12*l**2. What is the units digit of u(-5)?
0
Let q(a) = 11*a**2 + 690*a + 47. What is the tens digit of q(-69)?
0
Suppose -7 = 8*a - 23. Suppose 10 - a = 2*i. Suppose 0 = -i*g - v + 2*v + 386, 5*g + 5*v - 470 = 0. What is the units digit of g?
6
Suppose 136 = 4*q - 308. Let b = 6 - 4. Suppose -b*h = h - q. What is the units digit of h?
7
Let i(n) = -n**3 + 12*n**2 - 8*n - 2. Let k be i(11). Let s(t) = k - 4*t + t**2 - 12 - 33. What is the units digit of s(-7)?
3
Suppose 0 = 104*z + 69*z - 1645403. What is the units digit of z?
1
Let l(t) = 2*t**3 - 44*t**2 - 2*t + 46. Let n be l(22). Suppose 3*k + 0*k = -5*z + 501, -n*z - 5*k = -208. What is the units digit of z?
9
Suppose -3*u + 52 = s, 4*u - 69 = -s - 1. Suppose -26*k + 80 = -u*k. Suppose 2394 - 914 = k*x. What is the hundreds digit of x?
1
Let j = 253 + -162. Let m be 2/(-7) - (-299)/j. Suppose 0 = k - m*k + 18. What is the units digit of k?
9
Suppose 55 = 4*y - 3*y. Suppose -5*s + 5*u = -840, s + 2*u - y - 104 = 0. Suppose s = 12*c - 7*c. What is the tens digit of c?
3
Suppose 0 = -5*k - 2*w + 38, -6*k + 3*w - 24 = -8*k. What is the hundreds digit of (-6706)/(-21)*k/4?
4
Suppose -23580 = 13*n - 18*n. Suppose 11*h + h - n = 0. What is the tens digit of h?
9
Let v = 146 - 151. Let o(t) = -t**2 - 9*t. Let q be o(-15). What is the tens digit of v/3*q/2?
7
Let b be 1/(((-3)/(-15))/(402/10)). Let a be ((120/(-18))/10)/((-2)/b). Let u = a + 7. What is the units digit of u?
4
Let q = 42069 + -27506. What is the hundreds digit of q?
5
Let a = 170 - 119. Let y be (-1)/(-4) - (a/12 + -4). Suppose y = -23*o + 17*o + 24. What is the units digit of o?
4
Let i(n) = -n**3 - 7*n**2 - 12*n - 5. Let s be i(-5). Suppose -s*d = 4*d. Suppose d = -m - r + 63, 4*r - 100 = -5*m + 216. What is the tens digit of m?
6
Let r be 1*(-4 + 1) + -78 + 81. Suppose -4*h + 361 + 241 = -5*d, 3*h - 2*d - 448 = r. What is the tens digit of h?
4
Suppose 4*j - 98585 = -3*v, -67*j + 66*j + 24613 = -4*v. What is the tens digit of j?
4
Let a = 8225 + -7199. What is the tens digit of a?
2
Let g be 3/(54/(-382)) - (-4)/18. Let c(l) = l**2 + 11*l + 29. Let a be c(g). Let m = a - 57. What is the tens digit of m?
8
Suppose -5*y = -8539 - 4036. What is the tens digit of y?
1
Let b be 2 + (-1 - (1 + -3)). Suppose -x + 559 = v + 2*v, -b*x + 3*v = -1641. Suppose -33*t - x = -38*t. What is the tens digit of t?
1
Suppose -51*s + 9*s + 195510 = 0. What is the tens digit of s?
5
Let o = 3114 - -3100. What is the thousands digit of o?
6
Suppose 5*q - 565 = -4*m - m, -480 = -4*m + 3*q. Suppose -m = -7*u + 940. Suppose 5*j + 1 = u. What is the units digit of j?
0
Let p(u) = -u - 12. Let y be p(-13). Let h be 1 + -2*(0 + (2 - y)). What is the units digit of -7*((0 - h) + -16)?
5
Suppose -6*q + 1152 = -4*q - 5*g, 3*g + 1156 = 2*q. Let k = -311 + q. What is the hundreds digit of k?
2
Suppose -3*h - 5127 = -2*a - 2*h, 10284 = 4*a + 4*h. Let k = a - 1445. What is the units digit of k?
1
Suppose 11*j + 107063 = -11*j + 368665. What is the tens digit of j?
9
Suppose 3*p = 5*d - 4, 5*p + 4*d - 6 = 12. Suppose 0 = -t - 0*t + 3. What is the units digit of 196/p - (t + -2 + 2)?
5
Suppose -593785 = -70*o - 187995. What is the thousands digit of o?