t b be i(-1). Let u = -16 - b. What is the tens digit of u?
1
Let z(p) = p**2 - 77*p + 28. Let c(a) = -38*a + 14. Let o(w) = -5*c(w) + 3*z(w). Let r(h) be the first derivative of o(h). What is the tens digit of r(22)?
9
Suppose 0 = -217*n + 225*n - 24. Suppose 3*j + n*z - 5799 = 0, -10*j = -5*j - z - 9683. What is the tens digit of j?
3
Let o(k) = -k + 10. Suppose -4 = 4*q, -2*z + 4*q - 2*q = 6. What is the units digit of o(z)?
4
Let i = 87 + -95. Let u(b) = -8*b + 0*b - 2 - b**2 + 19. What is the tens digit of u(i)?
1
Let b(z) be the second derivative of z**5/20 - z**4/3 + z**3/3 - z**2 - 3*z. Let t be b(4). What is the units digit of (20/3)/(t/27)?
0
Let n = -109 + 44. Let c = 36 + n. What is the tens digit of (-3 - (c - 4)) + 1*2?
3
Let c be (36 - -1878)/(3/(-2)). Let n = c - -2277. What is the hundreds digit of n?
0
Let k(c) = -c**3 + 6*c**2 - 2*c + 5. Let p be k(4). Suppose 19 - p = j. What is the units digit of (j/3)/(32/(-48))?
5
Let s(r) = 118*r**2 - 12*r - 10. Let n be s(5). Let y = -1363 + n. What is the thousands digit of y?
1
Suppose -2*t + 20 = 94. Let d(h) = h**2 + 33*h + 21. Let j be d(-30). Let r = t - j. What is the tens digit of r?
3
Suppose -21 = -3*g + 5*o - 169, 5*g = 3*o - 252. Let d = g - -57. What is the units digit of (-10)/15 - (-34)/d?
5
Let n be (14*-1)/(1*(2 + -4)). Suppose 0 = n*l - 118 - 456. Let u = l - 4. What is the units digit of u?
8
Let d(n) be the first derivative of n**3/3 - 2*n**2 + 80*n - 45. What is the tens digit of d(-13)?
0
Suppose -24*i + 223788 = -3*i + 4*v, -12 = -4*v. What is the hundreds digit of i?
6
Suppose 4*t + 11442 = 3*k, t - 5172 = 4*k - 20441. What is the tens digit of k?
1
Let y(c) = -3*c + 7. Let a(r) = -7*r + 6. Let w(d) = 3*a(d) - 4*y(d). What is the units digit of w(-29)?
1
Let d(g) = -32*g**3 - 3*g**2 + 29*g + 203. What is the units digit of d(-6)?
3
Let w(f) = 68*f**2 - 93*f + 480. What is the units digit of w(5)?
5
Let l be 4/(-6) - (-15112)/24. Let c = l + -282. What is the hundreds digit of c?
3
Let t(s) be the third derivative of s**6/40 + s**5/20 - 17*s**4/24 + 25*s**3/6 + 193*s**2. What is the hundreds digit of t(8)?
6
Let f be -1 - (-2 - 2)/2*296. Suppose -14*a + 235 = -f. What is the tens digit of a?
5
What is the ten thousands digit of (432/(-32) + 12)*30382/(-3)?
1
Let g = 284 + -253. Suppose -5027 = -g*a + 12736. What is the tens digit of a?
7
Let v = 155 + -138. Suppose -19*u + 1062 = -v*u. What is the hundreds digit of u?
5
Let o(p) = -p**3 + 3. Let s be o(0). Suppose 2*b = -5*w + 7*w + 1880, -3781 = -4*b - s*w. What is the tens digit of b?
4
Let q(a) = a**3 + 20*a**2 - a - 207. Suppose 36*n = 71*n + 630. What is the hundreds digit of q(n)?
4
Let m be 4 - 1*(-2 - -1). Suppose a + g + 1692 = m*a, 5*a - 5*g = 2115. What is the tens digit of a?
2
Let b be 4 - (-4 - 2/(8/12)). Suppose b*k - 16*k = -1000. What is the units digit of k?
0
Let a be (-4)/(-6)*26445/(-86). Let b = a - -225. What is the units digit of b?
0
Let h = -41 + 29. What is the units digit of 18/h + 1 - 90/(-4)?
2
Let l(v) = -v**2 + 2*v + 18. Let z be l(0). Let h = z - 32. What is the tens digit of (-5*4)/(4/h)?
7
Let z(h) = 106*h - 122. Let b be z(12). Let l = b + 64. What is the thousands digit of l?
1
Let s = -35385 + 54613. What is the tens digit of s?
2
Let c(i) be the third derivative of -i**5/60 - 2*i**4/3 - 7*i**3/3 - 36*i**2 + 2*i. What is the tens digit of c(-12)?
3
Let n = -10 + 14. Suppose f - t = n*t - 39, 2*f = 5*t - 63. Let u = 52 - f. What is the units digit of u?
6
Let y(b) = 6*b + 3 - 2*b + 0*b - b + 737*b**2. What is the hundreds digit of y(-1)?
7
Let k(o) = 3446*o - 706. What is the ten thousands digit of k(17)?
5
What is the units digit of (-8)/11 + 78383655/2387?
7
Suppose -226240 = -189*k + 26801 + 1978104. What is the hundreds digit of k?
8
Suppose -33*w = -26*w + 21. What is the units digit of (4 - 5 - w - -1) + 392?
5
Suppose 3994*g - 4071*g = -2397241. What is the thousands digit of g?
1
Let y = 101563 - 43554. What is the ten thousands digit of y?
5
Let p be (-82)/(-1 - (0 + -2)). Let w be 4/14 + 1240/(-28). Let h = w - p. What is the units digit of h?
8
Suppose 1677*f - 1662*f = 1035. What is the tens digit of f?
6
Let k = -15637 + 29021. What is the tens digit of k?
8
Let x(j) = 251*j**2 + 41*j - 15. What is the tens digit of x(-4)?
3
Let a(y) = 2*y - 35. Let t be a(19). What is the units digit of (-4 + t)*-4*457/2?
4
Let x = 35 - 16. Let v(y) = y**2 - 18*y + 2. Let h be v(x). Suppose -5*m + 3*k = -462 - h, -4*m - 5*k + 379 = 0. What is the units digit of m?
6
Suppose 3*d = -3*q + 47466, 2*d - 30681 = 2*q + 987. What is the thousands digit of d?
5
Suppose -285*l + 97*l + 199739 = -552825. What is the thousands digit of l?
4
Let w(n) = 977*n + 1440. What is the tens digit of w(10)?
1
Let y(l) = l**3 + l**2 + 9*l + 9. Let v be y(8). Suppose 17*g - 4516 + v = 0. What is the tens digit of g?
2
Let g be 1 + -29*(0/(-4) + 1). Let p be g/(-12)*(4 - (2 + -1)). Suppose -2*k + p*k = 635. What is the hundreds digit of k?
1
Suppose -120*s - 89012 = -154*s. What is the thousands digit of s?
2
Let x = 4462 + -3967. What is the hundreds digit of x?
4
Let f = 304 - 297. Suppose f*o + 520 = 15*o. What is the tens digit of o?
6
Let l(g) = g - 73. Let d be l(-44). Let w = -74 + 282. Let m = d + w. What is the tens digit of m?
9
Let t = 944 + 16847. What is the units digit of t?
1
Let v = -52 + 54. Suppose -4*m = v*k + 108, m + 5*k - 30 = 3*m. Let o = m + 133. What is the hundreds digit of o?
1
Let k be (23/6 + (-2)/(-3))*-4. What is the hundreds digit of ((-1)/k*-951)/((-3)/18)?
3
Suppose 4*u - 51499 = 290*v - 287*v, 5*v - 12869 = -u. What is the units digit of u?
4
Suppose 4*t - 3*n + 55 = -t, 2*n = 3*t + 34. Let y be ((-30)/20)/((-3)/t). What is the tens digit of 296/(0 - y) - 4?
7
Let f(b) be the third derivative of b**5/60 + b**4/8 + 4*b**3/3 + 13*b**2. Let s be f(-5). What is the units digit of ((-30)/15)/((-4)/s)?
9
Let u = -244 + 116. Let f = -79 - u. What is the tens digit of f?
4
Suppose -4*q + 22 = 2. Suppose 3*g = 5*r + 5, 4*g + 6*r + q = r. Suppose 4*k - 70 - 210 = g. What is the units digit of k?
0
Suppose 4*n = -4*a + 6628, -n + 1653 = a - 2*n. Suppose -13*r + 8*r = -a. What is the units digit of r?
1
Suppose -1 = 7*n - 8. Let w(b) = 10*b - n + 0 - 1 - 2 + b**2. What is the units digit of w(-13)?
5
Suppose 1526 = -45*q + 46*q. Suppose 109*l - q = 108*l. What is the tens digit of l?
2
Let l(s) = -23*s + 24. Suppose 13*z = -54 + 2. What is the hundreds digit of l(z)?
1
Let b = -7833 - -15222. What is the tens digit of b?
8
Let r = 154630 + -86526. What is the ten thousands digit of r?
6
Suppose -2*q - 192 = -3*x + 154, -5*q = 2*x - 199. Let v = 39 + x. What is the hundreds digit of v?
1
Suppose -3*u = -5*q - 49105, -4*u = 914*q - 910*q - 65516. What is the units digit of u?
5
Let y(t) = -4680*t + 79. What is the units digit of y(-2)?
9
Suppose -8*b + 11*b - 6 = 0. Let g(m) = 51*m**2 + 3*m - 12. What is the tens digit of g(b)?
9
Suppose 19*u + 3*p = 23*u - 25877, 5*p - 19386 = -3*u. What is the hundreds digit of u?
4
Let x(h) = 4*h - 3*h + 2 + 6 + 3. Let j be x(11). Suppose 0 = j*z - 27*z + 205. What is the units digit of z?
1
Suppose i = y, -2*y + 12 = 2*i + 2*y. Suppose 4*l + 8*v = 5*v + 1251, -i*v - 6 = 0. What is the units digit of l?
5
Let d(p) = -108*p**3 + 4*p**2 - 1. Let j be d(2). Let z = j - -1190. What is the units digit of z?
1
Suppose -3*d - 4800 = -8*d. Suppose 18*r - 13*r = d. Suppose -4*z = 4*s - r, -z + 246 = 5*s - 2*z. What is the tens digit of s?
4
Let z be (-1074)/(-36) + 1 + 10/(-12). Let q = z + -3. Suppose 31*a - 388 = q*a. What is the units digit of a?
7
Let x = 98 - 97. What is the units digit of (600/(-14))/(x/(-7))?
0
Let w be 62/8 - 0 - (-24)/(-32). What is the units digit of -5 - (w*-102 - -1)?
8
Let l(c) = -2299*c**3 + 7*c**2 + 7*c - 24. Let j(u) = 1533*u**3 - 5*u**2 - 5*u + 17. Let i(z) = 7*j(z) + 5*l(z). What is the tens digit of i(-1)?
6
What is the tens digit of (-4)/(24/(-172205)) + 39/234?
0
Suppose -142 = 5*x + 2*y + y, 2*x + 2*y + 60 = 0. Let o = 51 - x. Suppose -o = 6*k - 443. What is the tens digit of k?
6
Let b = 183 + -172. Suppose 0 = -b*l - 14*l + 16275. What is the units digit of l?
1
Suppose 0 = 5*v + 25, 0 = 5*f + 2*v + v. Suppose