ppose 0 = -6*d + 37698 + 32202. What is the units digit of d?
0
Let h(n) = -18*n**3 + 9*n**2 + 106*n - 27. What is the units digit of h(-10)?
3
Let o = 5588 + -2972. What is the units digit of o?
6
Let y(w) = -5*w - 8. Let v be y(-2). Suppose -5*u + 459 = -z + 4*z, -6 = -v*z. Let p = 154 - u. What is the tens digit of p?
6
Suppose -c = -2*c + 4*c. Suppose 3*g + g - 248 = c. Suppose -4*y + 686 = -g. What is the hundreds digit of y?
1
Let i(g) be the second derivative of g**3/3 + 9*g**2/2 + 18*g. Let n be i(3). Suppose n*q + 220 = 19*q. What is the tens digit of q?
5
Suppose -5*s + 3 = -4*s. Suppose -3*v - s*n = 24, -4*v = v + 3*n + 30. What is the units digit of 14/2 - 0/(v + 1)?
7
Let a = -32199 + 68742. What is the thousands digit of a?
6
What is the hundreds digit of (-1)/(-9 - 3236256/(-359586))?
9
Let g = -19761 - -33233. What is the ten thousands digit of g?
1
Let k be ((-348)/(-14))/((-21)/(-8967)). Suppose -k + 4036 = -23*m. What is the units digit of m?
6
Let y(c) = 968*c - 768. What is the units digit of y(16)?
0
Let n be (-12)/(-54) + -1*395/(-45). Suppose 0 = -w - t + 552, -8*w = -n*w - 2*t + 554. What is the units digit of w?
0
Let m = 15 + -13. Let f(u) = -1101*u**2 - 15*u + 12. Let t be f(4). What is the tens digit of m/(-10) - t/120?
4
Let u(t) = -t**3 + 6*t**2 - 3*t. Let k be u(2). What is the hundreds digit of ((-8712)/55)/((-3)/k)?
5
What is the thousands digit of (16945/(-35))/((-6)/42)?
3
Let l(i) be the third derivative of 289*i**5/30 - 5*i**4/24 - 2*i**3/3 - 3*i**2 - 2. What is the tens digit of l(-1)?
7
Let s(w) = w**3 + 2*w**2 - 6*w + 9. Let y be s(7). Suppose 28*n = 32*n + 788. Let u = n + y. What is the units digit of u?
1
Let t(j) be the third derivative of -j**5/60 + 11*j**4/6 + 20*j**3/3 - 120*j**2. What is the hundreds digit of t(26)?
5
Let y = -72 + 74. Suppose -y*x + 668 = -0*w + 5*w, 5*w - 1655 = -5*x. Let q = x + -163. What is the tens digit of q?
6
Let s be (-1)/4 - 8/(-32). Let t be 1 - 4 - (2 + -8) - s. Suppose -820 = -3*w - 2*w + 5*y, y = -t*w + 492. What is the tens digit of w?
6
Let r be ((-4)/(-2))/((-6)/(-129)*1). Suppose 0 = 41*l - r*l + 350. What is the tens digit of l?
7
Let h = 17040 + 9579. What is the units digit of h?
9
Suppose 3*n + g - 2 = 0, -4*n + 0*n - 5*g + 10 = 0. What is the units digit of (-54)/(-15)*(n + 5)?
8
Suppose -693 = -64*s + 55*s. What is the units digit of s?
7
Let f(o) = 337*o**2 + 28*o - 21. Let b be f(11). Suppose -31*s + 2*s = -b. What is the units digit of s?
6
Let l(z) = 2*z + 1. Let u(t) = -71*t - 43. Let y(d) = 4*l(d) + u(d). What is the hundreds digit of y(-5)?
2
Suppose 0*c = -c + 4. Suppose -c*v - v = -25, t - 5*v = -4. What is the units digit of t?
1
Suppose -32*o = -28*o + 1756. Let q = o + 475. What is the tens digit of q?
3
Let i(t) = -3*t + 20. Let p be i(5). Let x(g) = g**2 - 6*g + 8. Let j be x(5). Suppose 0 = -p*c + 2*z - 64 + 559, j*c = z + 297. What is the tens digit of c?
9
Let v = 4754 - 3285. What is the units digit of v?
9
Let b(v) = -978*v**2 - 6 + 492*v**2 + 7*v + 499*v**2. What is the hundreds digit of b(6)?
5
Let z = -12 + 19. Suppose 2*d - z*d + 195 = 0. Suppose 3*n + 3 = -6, 0 = -3*w - n + d. What is the units digit of w?
4
Let g = 38054 + -20056. What is the hundreds digit of g?
9
Suppose -6*l = -2*i - 62936, -2*l - 5*i = 3*l - 52400. What is the units digit of l?
7
Let v = -325 - -332. What is the tens digit of -73*(-10 + v + 10/(-5))?
6
Suppose -14545 = -3*k + 4*u, 1798 = k + 4*u - 3029. What is the units digit of k?
3
Let v(q) = q**3 + 6*q**2 - 7*q + 17. Let f be v(-7). Suppose 3*i - 269 + f = 0. What is the tens digit of i?
8
Let t(h) = h**2 - 14*h - 35. Let q(s) = 3*s. Let v be q(-3). Let b be t(v). Let u = b - 7. What is the tens digit of u?
6
Suppose 21*g - 41187 = -4*t + 18*g, 4*t - 41186 = -2*g. What is the ten thousands digit of t?
1
Let n(w) = -9*w + 9. Let v be n(1). Let i = 6 + 17. Suppose -2*a + d + i = v, 13 = -3*a + 4*a + d. What is the units digit of a?
2
Suppose -2 = 6*i - 32. Suppose 2*j + 74 = 5*z, -i*z - 2*j + 52 = -14. What is the units digit of z?
4
Suppose 53 - 15 = 3*p - 2*g, -10 = p + 5*g. Suppose 2*c = -c + 2*z + 8, 4*z + p = 3*c. Let f(y) = 8*y**3 - 2*y**2 + 2*y - 2. What is the units digit of f(c)?
8
Suppose 2*x = 4*z + 14, 20*z - 23*z = 12. Let a(s) = -47*s + 7. What is the units digit of a(x)?
4
What is the thousands digit of 9647 + -9 - ((-1)/(-3))/(23/(-414))?
9
Let w(m) = 216*m + 495. Let t(u) = 7*u + 16. Let v(o) = 63*t(o) - 2*w(o). Suppose -36*x + 77 + 319 = 0. What is the tens digit of v(x)?
1
Let d(n) be the first derivative of -1/4*n**4 - 2*n - 15 - n**2 + 11/3*n**3. What is the hundreds digit of d(9)?
1
Suppose 3*k - 1698 = -4*y, -4*k - 9 + 1 = 0. Let f(w) = 128*w + 514. Let n be f(-4). Suppose n*t + 4*t = y. What is the units digit of t?
1
Let k = -229 + 1421. What is the hundreds digit of k?
1
What is the tens digit of ((-1)/(-4))/((-398898)/36264 - -11)?
1
Let m(p) = -p**3 - p**2 - p. Let c(j) = j**3 + 2*j**2 - 11*j - 19. Let h(w) = c(w) + 4*m(w). What is the units digit of h(-6)?
7
What is the tens digit of 9/(-3) - (40416/12)/(-1)?
6
Let h(i) = i**2 + 3*i - 11. Let z be h(-7). Let r(f) = 4*f**2 + 8*f + 15*f - 38*f - 1 + z*f - 7*f**3. What is the units digit of r(-2)?
7
Suppose 2*y - 35 = 43. Suppose 0 = -3*t - 10*b + 5*b + 21, 2*t - 13 = -3*b. Suppose -t*w + 11 + 2 = -5*u, 3*w - y = u. What is the tens digit of w?
1
Suppose 72*a - 121744 = -19*a + 498057. What is the thousands digit of a?
6
Suppose -2350713 - 314647 = -80*a. What is the hundreds digit of a?
3
Let b(i) = -i + 14. Let x be b(7). Let a(d) = 0 + 2*d + 0 + d**2 - x. What is the units digit of a(-8)?
1
Suppose -5*b = -3*t + 6605, 29*t - 3*b = 31*t - 4359. What is the tens digit of t?
9
Suppose -4*w - w - 20561 = -65976. What is the tens digit of w?
8
Suppose -5*o + 14120 = 5*d, 5*d + 14102 = 5*o + 4*d. Let m = o + -1983. What is the hundreds digit of m?
8
Let b(f) = 26*f + 113. Let u be b(29). Suppose 0 = 4*s + 2*r - r - 1156, 0 = -3*s - r + u. What is the units digit of s?
9
What is the hundreds digit of (-3 + 70)*(64 - -391 - (3 - -1))?
2
Let v(c) be the first derivative of -c**4/4 - 8*c**3/3 + 9*c**2/2 - 14*c - 1. Let p = -3413 + 3403. What is the tens digit of v(p)?
9
Suppose -18*d - 10*d = -14*d - 128478. What is the hundreds digit of d?
1
Let w(n) = 4*n**2 + 8*n + 31. Let b(c) = -20*c**2 - 41*c - 155. Let y(s) = 2*b(s) + 11*w(s). What is the units digit of y(-10)?
1
What is the tens digit of (-7334)/(-6) - (-8)/3?
2
Suppose 5*f - 4*w = 31826, -8*w + 11*w + 19098 = 3*f. What is the thousands digit of f?
6
Let q(r) = 2*r**2 - 13*r - 10. Let z be q(6). Let m = z + 77. Suppose -3*v + 5 = -m. What is the tens digit of v?
2
Let m be 7 + 42/(-7) - (-38 - 0). Suppose 5*q - 4*g = 2950, m*g = -q + 43*g + 574. What is the units digit of q?
4
Let p(z) = 2*z**2 + 12*z - 32. Let j be 9/3*(-4)/(-2) - 32. What is the tens digit of p(j)?
0
Let g be (-7768)/12 + (-2)/(-6). Let u = 526 - g. What is the thousands digit of u?
1
Let y be (-33 - -2)/(-3 - (0 - 2)). Suppose 3*d + 9 = 3*b, 2*b - 2*d + 5*d = y. Suppose 280 = b*l - 3*l. What is the units digit of l?
6
Let g = -17940 + 20830. What is the units digit of g?
0
Let b be 1/(2*1/28). Suppose 3367 - 10423 = -b*l. What is the hundreds digit of l?
5
Suppose 5*z = 4*j - 45656 - 28069, 0 = -j + 3*z + 18440. What is the ten thousands digit of j?
1
Let q = -104 + 119. Let v be 2/6*(q + -15). What is the tens digit of (-1)/(1/(-137)) + v?
3
Let n be ((-200)/(-6))/((-1)/(-3)). Suppose -w = -5*w + n. What is the tens digit of (-16)/6*(3 - (w - 1))?
5
Suppose -4*z + 85326 = p, -29*z + 4*p = -30*z + 21309. What is the ten thousands digit of z?
2
Let l(b) = -6*b + 36. Let a(z) = 6*z - 37. Let c(n) = 5*a(n) + 6*l(n). What is the units digit of c(-30)?
1
Let t = 4618 - 2546. What is the thousands digit of t?
2
Let k(n) = -659*n + 2479. What is the hundreds digit of k(-10)?
0
Let o(x) = 4*x**2 - 3*x**2 + 4*x**2 - 4*x**2 - 18 - x. Let b be o(-5). Suppose -738 = -b*p - 54. What is the tens digit of p?
5
Let t(n) = 39*n**2 + 50*n - 208. What is the hundreds digit of t(10)?
1
Let x(v) be the first derivative of -v**3/3 - 9*v**2/2 - 20*v - 11. Let s be x(-4). Suppose s = 10*w - 12*w + 404. What is the hundreds digit 