e -6*k + u = -403. What is the units digit of k?
1
Let i(y) = -y**3 + 8*y**2 + 11*y + 12. Let c be i(9). Suppose 5*u = -5*m - c, u - 7 + 1 = 3*m. What is the tens digit of 4 + m - -18 - -2?
2
Let k(w) = -2*w**2 - 4*w + 3*w + 3*w**2 + 47 - 25. What is the units digit of k(-14)?
2
Let j(x) = -8*x**2 - 7*x - 14. Let d be j(-6). What is the units digit of d/(-3) + (42/(-9) - -4)?
6
Let k = -25 + 199. What is the tens digit of k?
7
Let u(t) = 10*t**2 + 2*t + 3. Let v be 21/14*((-16)/6)/4. What is the units digit of u(v)?
1
Let h(j) = -j**2 + 14*j + 2. Let f be (-9)/(-2)*170/15. Suppose -3*y + 3*m = -f, 2*y - 6*y = -5*m - 72. What is the units digit of h(y)?
5
Let o be (2/1 - 1)*11. Suppose -o = -2*c + 11. What is the units digit of c?
1
Let t(c) = -2*c**2 - c - 4. Let i be t(-3). Let j be (2*1/(3/39))/(-2). Let h = j - i. What is the units digit of h?
6
Let p be (-8)/(-42)*6*7/2. Suppose -p*n - 312 = -6*n. What is the units digit of n?
6
Let x be 14/6 + (-4)/12. Suppose 2*s - 3*l = -x*s + 243, 2*l + 122 = 2*s. What is the units digit of s?
0
Suppose 1039 + 83 = 6*v. What is the hundreds digit of v?
1
Suppose 0 = -3*t + 15, 4*o - 12*t = -14*t + 9826. What is the tens digit of o?
5
Let a(y) = -y**2 - y + 42. Let b(p) = -p**2 - p + 42. Let w(m) = 3*a(m) - 4*b(m). What is the hundreds digit of w(17)?
2
Suppose -3*a - 3*d = 2*d - 11, 1 = -a - 4*d. Let b = -335 + 340. Let n = b + a. What is the units digit of n?
2
Let q = 22 + -3. Let u = 54 - q. What is the tens digit of u?
3
Let n(i) = 379*i**3 - i**2 - 5*i + 14. What is the thousands digit of n(2)?
3
Let y(j) = -j**3 - 14*j**2 - 23*j + 17. Let i be y(-12). Suppose 0 = -i*d - 4*n + 1530, 5*d - 5*n = 51 + 1479. What is the hundreds digit of d?
3
Let i(y) be the third derivative of y**4/12 + y**3/3 - y**2. Suppose 4*a = 3*s - 17, 0 = -3*s + 3*a - 6 + 24. What is the tens digit of i(s)?
1
Let j be ((-64)/40)/((-2)/10). Let x(i) = i**2 - 7*i + 8. What is the tens digit of x(j)?
1
Let v(l) = l**2 + 9*l + 8. Let h be v(-8). Let n be 4 + (h - (3 + 0)). Suppose q + n = -4, 0 = a - 2*q - 16. What is the units digit of a?
6
Let s(n) = -3*n**2 + 3*n + 2. Let r be s(-1). Let d = 14 + r. What is the units digit of d?
0
Suppose 6 - 22 = 2*l. Let s = l + 9. Let j(z) = 9*z - 1. What is the units digit of j(s)?
8
Suppose 4*s + 0*s = 1080. Suppose 3*b - 6*b + s = 0. What is the units digit of b?
0
Suppose 17 = 8*r - 15. What is the units digit of (-722)/(-8) + (-1)/r?
0
Suppose 8*f - 145 = 3*f. Let q = f + -15. Let b = -13 + q. What is the units digit of b?
1
What is the tens digit of (-5 - -7)/12 - (-598069)/138?
3
Let r(g) be the third derivative of g**6/60 - g**5/30 + g**4/24 + g**3/3 + 23*g**2. What is the tens digit of r(2)?
1
Suppose -13*j + 13545 = -131. What is the units digit of j?
2
Suppose -1172 = -5*d - y, 232 = -0*d + d + y. Let h = 346 - d. What is the units digit of h?
1
Let b(i) = i**3 + 17*i**2 + 14*i - 29. Let t be b(-16). Suppose c = -5*y + 212 + 105, -t*c = 4*y - 973. What is the units digit of c?
7
Suppose -3*k = 3*h - 6, -4*h + 11 = -0*k + 3*k. Suppose 2*j - 2*v = -2*j + 632, 0 = j + h*v - 136. What is the units digit of j?
6
Let d be 3 - (6/1 - -3). Let x be (-2 - 1) + 2 - d. Suppose 0 = -5*h - x*v + 80, -62 = h - 6*h + 4*v. What is the tens digit of h?
1
Let p = 1671 - 653. What is the tens digit of p?
1
Let g(o) = o + 2. Let p be g(0). Suppose -s - x + 2 = -p, -4*x + 20 = 5*s. Suppose s*k = -10 + 46. What is the units digit of k?
9
Suppose g + 14 = 3*g. Suppose g*t = 3*t + 132. Suppose 3*h = t + 153. What is the units digit of h?
2
Suppose -i + 5*x - 637 = -5*i, -2*i = 2*x - 320. Let d = -64 + i. What is the units digit of d?
9
Let s be 0/2*3/(-6). Suppose -3*w = -s*w + 12. What is the tens digit of (125/(-10))/5*w?
1
Let m be (178/(-6))/((-2)/6). Suppose -5*a = 5*i - 425, -3*a + 0*a = i - m. What is the units digit of i?
3
Suppose -5*g - 20 = 0, -5*g = -3*y - 4*g + 9553. What is the hundreds digit of y?
1
Let n(r) = 6*r**2 + 2. Let p be n(-2). Suppose 30 = i - 5*g, 3*i + 2*g = p + 81. What is the tens digit of i?
3
Suppose -2*f = 3 + 15. Let m(n) = -n**3 - 10*n**2 - 9*n + 8. Let v be m(f). Let z(t) = 4*t + 2. What is the tens digit of z(v)?
3
Let p(y) = 4*y**3 + y + 2. Let f be p(-1). Let m = f - -235. What is the hundreds digit of m?
2
Let r(x) = -x**2 + 10*x - 3. Let f(b) = b**2 + 3*b - 3. Let i be f(2). What is the tens digit of r(i)?
1
Suppose -3*k - c + 15 = 0, -3*c + 3 = 2*k - 0. Suppose 5*z - k*z + 3*j + 26 = 0, 0 = 3*z + 4*j - 65. What is the units digit of z?
3
Let p = -11 + 26. Let z be 10/4*12/p. Suppose 2*s + 2 = -i + z*i, -5*i - 3*s = -23. What is the units digit of i?
4
Let r(c) = 341*c**3 + c**2 - 8*c + 16. What is the units digit of r(2)?
2
Let x(w) = w**3 - 7*w**2 - 6*w - 11. Let a be x(8). Let u(l) = 2*l - 4. Let s be u(a). Suppose -2*v = 2*j - s*v - 24, -12 = -4*v. What is the tens digit of j?
1
Let c = 49 + -52. Let b(a) = 8*a + 1. Let g be b(2). Let l = g - c. What is the tens digit of l?
2
Let a(v) = 16*v - 60. Let c(w) = 5*w - 20. Let q(m) = -6*a(m) + 17*c(m). What is the units digit of q(-7)?
7
Let f = -18 - -20. Suppose -f*a - 53 + 227 = 0. What is the units digit of -1*a*11/(-33)?
9
Let y = 25 - 19. Let n(z) = -16 + 4 + y*z + 0*z. What is the units digit of n(8)?
6
Suppose 16*b - 23*b = 84. Let d(x) = -6*x + 39. What is the units digit of d(b)?
1
Suppose 3*w + 6 = 0, -4*w = -3*i + 4 + 4. Let h(p) = -9 + i*p + 8*p**2 + 10 - p. What is the units digit of h(1)?
8
Suppose 0 = -4*q + 885 + 583. What is the tens digit of q?
6
Let i(f) = -9*f**2 - 22*f - 9. Let o(x) = 13*x**2 + 33*x + 14. Let w(s) = -8*i(s) - 5*o(s). What is the hundreds digit of w(-5)?
1
Let t(v) = -37*v - 5. Suppose 10 = 4*i + 26. What is the units digit of t(i)?
3
Suppose 0*h - 37 = -h. Let m = h - 24. Suppose 36 = g - m. What is the units digit of g?
9
Let r(x) = -x**2 - x + 5. Let i be 6/27 + (-4)/18. Let k be r(i). Let o(b) = b + 8. What is the units digit of o(k)?
3
Let p = -9249 + 14449. What is the tens digit of p?
0
Let s(c) = 65 - 141 + c**2 + 0*c**2 - 3*c + 2*c + 71. Suppose p = -3*n - 2*p - 6, 4*n + 2*p = -16. What is the units digit of s(n)?
7
Suppose -2*r = -9 - 5. Suppose -r*w = 5*w - 1044. What is the units digit of w?
7
Let p = 20 + -14. What is the tens digit of (0 - p)/(3/(-9))?
1
Suppose 0 = -31*k + 34*k - 702. What is the tens digit of k?
3
Suppose 0 = 2*t - 10 + 4. What is the tens digit of (-1184)/(-20) + (-1)/15*t?
5
Let w = 4043 + -1988. What is the hundreds digit of w?
0
Let x = 158 + -1768. What is the units digit of (2/5)/((-14)/x)?
6
Let q(h) = -11*h**2 - 38*h + 67. Let l(o) = -4*o**2 - 13*o + 22. Let f(n) = 8*l(n) - 3*q(n). What is the units digit of f(-14)?
1
Let k(h) = h**2 + 8*h + 22. What is the tens digit of k(17)?
4
Let x be 14/((-1 - 3)*(-3)/6). Suppose 5*n - n - 36 = 0. Suppose 0 = x*c + n - 37. What is the units digit of c?
4
Let h(n) = 10*n**2 - 5*n + 7. Let i be h(6). Suppose -109 = 6*l - i. What is the tens digit of l?
3
Let z(c) = c**3 + 15*c**2 + 34*c + 33. What is the units digit of z(-11)?
3
Let v(g) = -2*g**3 - 40*g**2 + 4*g - 52. What is the hundreds digit of v(-21)?
7
Let m = -569 + 577. What is the units digit of m?
8
Let b(g) = -7*g - 7. Let x be b(-9). Suppose 0*d = d - x. What is the tens digit of d?
5
Let i(o) = -o**3 + 6*o**2 - 2*o + 2. Let g be i(4). Suppose 66 = 2*d - 2*k, 2*d = -5*k - g + 99. Let p = -17 + d. What is the tens digit of p?
1
Let p(j) be the third derivative of -5*j**4/24 + 8*j**3/3 + 22*j**2. What is the tens digit of p(-17)?
0
Let u(s) = 5*s**2 + 168*s - 34. What is the thousands digit of u(21)?
5
Let q(c) = 12*c**2 - 2942*c**3 - 15*c + 3 - 2 + 2941*c**3. What is the units digit of q(9)?
9
Suppose 2*z + 5*m = -2*z - 25, -2*z + 5*m = -25. Suppose z = 13*i - 9*i - 512. What is the units digit of i?
8
Suppose y = -1 + 4. Suppose -3*d = -5*h, -y*d + 12 = 4*h - 15. Suppose -h*t + 11 = -52. What is the tens digit of t?
2
Let g(b) = -b**2 + 38*b - 238. What is the units digit of g(25)?
7
Let n = 128 + -194. What is the hundreds digit of (796/6)/((-44)/n)?
1
Let h = -1 + -4. What is the tens digit of 84 - (h - 6*8/(-12))?
8
Let h(k) = 2*k**2 - 2. Let w be h(-3). Suppose 41*m = 48*m. Suppose 2*f = -m*f + w. What is the units digit of f?
8
