the units digit of n?
6
Let l(n) be the second derivative of -n**4/12 + 5*n**3/6 - n**2 + 2*n. Let d be l(4). Suppose 0 = 7*t - 5*t - d. What is the units digit of t?
1
Let g be (-2)/3 + (-396)/(-27). Let r(u) = u**3 - 13*u**2 - 13*u + 5. What is the units digit of r(g)?
9
Suppose -2*g + 5*s + 11 = 0, -g + s + 3*s + 13 = 0. Let t = g - -20. What is the units digit of t?
3
Let t = 34 - 133. What is the units digit of (-2)/9 - 5269/t?
3
Suppose 846 + 324 = 3*a. What is the tens digit of a?
9
Suppose u = 2, 2*u + 0*u + 5 = -h. Let x = 5 + h. What is the units digit of x*(-3)/(6/4)?
8
Let g be ((-15)/3)/(1 + -2). Suppose g*s = s + 20. What is the units digit of s?
5
Suppose k - 3 = 1. What is the units digit of 1161/36 + (-1)/k?
2
Suppose 5*n + 11 = 21. Suppose -4*u + 15 = n*t - 137, -2*t = 5*u - 190. What is the tens digit of u?
3
Suppose -3*x = 9, 3*x + 34 = 2*c + 3*c. Suppose 2*m + 0*m = c*l + 44, -4*m - l + 66 = 0. What is the tens digit of m?
1
Let k = 4 + -9. What is the units digit of k/((-10)/18) + -2?
7
Let f = 11 + -21. What is the units digit of (5 - 2)*f/(-3)?
0
Let a = -32 + 68. What is the tens digit of a?
3
Suppose 4*i = 6 + 6. Suppose 2 = -5*f - i. What is the tens digit of (1/f)/((-1)/19)?
1
Let z = 4 + 0. Suppose -2*h + z*h - 2 = 0. What is the units digit of h?
1
Let v(b) = -5*b + 33. What is the tens digit of v(-15)?
0
Let k(q) = q**2 - q. Let b(f) = 5*f**2 + 3*f - 13. Let l(c) = b(c) - 3*k(c). What is the units digit of l(-6)?
3
Let i = -18 + 50. What is the units digit of i?
2
Let g = 13 - 12. Let v = 10 + g. What is the tens digit of v?
1
Let y(v) = -v**2 - 6*v - 1. Let u be y(-6). Let s be 2/u*(-4 - 0). Suppose 4*c - 5*c = -s. What is the units digit of c?
8
Suppose 5*a + 3*z = -0*a + 80, -4*a + 64 = -z. Suppose 0 - a = -2*x. What is the units digit of x?
8
Let p(j) = j**3 + 9*j**2 + 6*j + 12. Let y be p(-9). What is the units digit of (y/(-15))/(1/5)?
4
Suppose -76 = 5*z - 216. What is the tens digit of z?
2
Let d(y) = -y**2 + 8*y + 1. Let k(s) = -s**3 - 3*s**2 + s - 5. Let f be k(-4). What is the units digit of d(f)?
8
Suppose 10 + 0 = 2*o. Suppose 2*k + k = -i + 18, 0 = -3*i + 4*k + 67. Suppose 0 = -o*l + i + 14. What is the units digit of l?
7
Let d = 0 + 2. Let s(f) = 3*f**3 - 2*f**3 + 8*f**3 + f**d. What is the units digit of s(1)?
0
Let i(y) = -140*y - 14. What is the tens digit of i(-2)?
6
What is the units digit of (5 + -2)/(6/52)?
6
Suppose 0 = 5*h - 4*h - 4. Let o = 1 + h. Suppose 4*r - 37 - 46 = -q, o*r - 2*q = 94. What is the tens digit of r?
2
Let j(b) = -b**3 + 7*b**2 + 9*b - 9. Let u be j(8). Let a be 4 + u/1 - 1. Suppose 0 = -3*g - 3*l + a*l + 33, -5*g = 5*l - 45. What is the tens digit of g?
1
Suppose -2*x - 108 = -6*x. Suppose -x = 2*h - 5*h - 3*s, 5*h = 2*s + 45. What is the units digit of h?
9
Let o(c) = c**3 + 4*c**2 + c + 4. Let b be o(-4). Suppose -i + 9 + 16 = b. What is the units digit of i?
5
Let r(k) = -6 + 0*k**2 - k**3 + 2 - 5*k**2 - 5*k. Let h be r(-4). Suppose h = 2*c - 3*p + 2, -4*p - 9 = -5*c. What is the units digit of c?
5
Let g(z) = 22*z**3 - 3*z**2 - 2*z + 4. What is the units digit of g(2)?
4
Let m(l) = l - 6. Let k be m(7). Let h be (k - -1) + (0 - 2). Suppose h = -0*v - 5*v + 15. What is the units digit of v?
3
Let x(g) = -g**2 + 9*g - 9. Let l be x(7). Let v = l + -2. What is the units digit of v?
3
Let z = 54 + -8. What is the tens digit of z?
4
Let w = 67 - -41. What is the hundreds digit of w?
1
Suppose -l = -5*c - 2*l + 319, 4*l = 5*c - 324. What is the units digit of c?
4
Let j(h) = h + 3. Suppose -4*w = -4*t - 0*w, t = -w - 6. Let d be j(t). What is the units digit of d/(-1) - (0 - 4)?
4
Let c = 2 + -1. Let l = -1 + c. Suppose k - 30 = 5*r, -3*k + l*r = r - 10. What is the units digit of k?
5
Suppose 6*q - 392 - 490 = 0. What is the tens digit of q?
4
Let u be (3/(-6))/(1/10). What is the units digit of (u + 21)*(3 + -2)?
6
Let y(d) = d + 122. Let f be y(0). Suppose 0*r + 3*r - 2*n = f, 0 = -r + n + 40. What is the tens digit of r?
4
Let q(n) = -n**3 + 6*n**2 - 5*n - 4. Let k be q(4). What is the units digit of 3/(-6) - (-12)/k?
1
Suppose 0 = -f + 4*f. Let z(u) = u**3 - u**2 - u + 2. What is the units digit of z(f)?
2
Let c(j) = -5*j - 80 + 3*j + 31*j**2 + 81. What is the tens digit of c(1)?
3
What is the tens digit of -1*4/(-1) - -64?
6
Suppose f - 4*f = -5*r + 230, 3*r - 5*f = 122. What is the units digit of r?
9
Let c(p) be the first derivative of 2*p**3/3 - 3*p**2 - 7*p + 7. What is the units digit of c(5)?
3
Suppose -8*a + 94 = -42. What is the tens digit of a?
1
Let z be (-4)/(-10)*(-5 - -10). Suppose 3*i - 60 = -z*i. What is the units digit of i?
2
Let v = 2 - -4. What is the units digit of v?
6
Suppose 21 = -2*g + c, -2*g + 8 = c + 35. Let j = 2 - g. What is the tens digit of j?
1
Let j = -9 + -22. Let s = -17 - j. What is the tens digit of s?
1
Let s(r) = 2*r**2 + 8*r + 2. Let n be s(-6). Suppose 2*c + 16 - 2 = 2*f, 0 = 2*f - 5*c - n. What is the units digit of f?
3
Suppose 5*y - 36 = -3*k - 1, -2*y + 45 = -5*k. Let n = y + 4. Suppose 0 = -0*u - 2*u + n. What is the units digit of u?
7
Let i be -4*(-3)/18*6. Suppose -i*f + 25 = 5*m, -3*f = -7*f. What is the units digit of m?
5
Let f(u) = 4*u**2 - u + 7. Suppose 2*t = a + 9, 0*a - a = 4*t - 9. What is the units digit of f(t)?
0
Let f = -4 - -12. Let l = f - 5. Suppose -5*o + 4 = -3*r, -l*o + r - 4*r + 12 = 0. What is the units digit of o?
2
Let f(u) = 68*u**2 + 2*u - 1. Let w be f(1). Let m = 100 - w. What is the tens digit of m?
3
Let p = -74 - -183. What is the tens digit of p?
0
Suppose -394 - 104 = -6*w. What is the tens digit of w?
8
Let l = 11 - -18. What is the units digit of l?
9
Let f be (-3)/(6/(-32)) + -2. Let u(k) = 2*k - 14. What is the tens digit of u(f)?
1
Let g be (-3)/(2 + 1 + -4). Suppose 19 = g*k - 11. What is the units digit of k?
0
Let y = 0 - -4. Suppose 7 = -y*v - 29. Let x(g) = -2*g. What is the tens digit of x(v)?
1
What is the hundreds digit of (-3 - 0/2) + 189?
1
Let z(f) = -f**2 - 8*f - 7. Let m be z(-7). Suppose m = -4*o - 0*o + 28. Let b = o + -2. What is the units digit of b?
5
Suppose -1 = 2*w - 5. Let i(b) = -8 - 2*b + b**w - 2*b + b. What is the tens digit of i(6)?
1
Suppose -3*j = -3*a + 4*a - 124, 4*j = -4*a + 176. What is the tens digit of j?
4
Suppose -3*r + 167 = 4*s, 5*r - 123 = 3*r - 5*s. What is the units digit of r?
9
Let o(s) = 2*s - 8. Suppose 0 = b - w - 11, 4*b - b - 2*w = 28. What is the units digit of o(b)?
4
Let d(c) = c**3 + 6*c**2 - c. Let b = 0 - 6. What is the units digit of d(b)?
6
Let h = 161 + -107. Let b = h + -20. What is the units digit of (-1)/4 - b/(-8)?
4
Let w(z) = z**3 + z**2 + z + 9. What is the units digit of w(0)?
9
Suppose 8*m = 5*m + 84. What is the tens digit of m?
2
Suppose t - 5*j = 24, 0 = -2*t + t + 2*j + 18. Suppose 5*y = 3*y + t. What is the units digit of y?
7
What is the tens digit of 4*((-670)/(-6) + 44/(-66))?
4
Let u(o) = -6*o - 7. Let j be u(-5). Suppose 3*a = -5 + j. What is the units digit of (2/a)/((-2)/(-24))?
4
Let a be 0 + -8 + 1 + -3. Let z(o) = o**2 + 8*o. What is the units digit of z(a)?
0
Suppose -5*x + c = 2*c - 12, -3*x = -3*c. Let d = 1 + x. What is the units digit of d?
3
Let k(m) = -m**2 - 7*m - 6. Let r be k(-4). Suppose 5*b + 2 = r*b. Suppose -20 = -b*d + 2. What is the tens digit of d?
1
Suppose -5*q + 70 = 20. What is the units digit of 316/q + (-4)/(-10)?
2
Let y be (1 - -11)*(-8)/12. Let d(s) = s**3 + 8*s**2 - s + 4. What is the units digit of d(y)?
2
Suppose -3*s + 5 = -19. Suppose -s = -2*t - 4. Suppose -t*c = -c - 7. What is the units digit of c?
7
Let n = -11 - -18. What is the units digit of n?
7
Suppose -4*y + 254 = v, 48 - 568 = -2*v - 2*y. What is the units digit of v?
2
Suppose -16*c + 40 = -11*c. What is the units digit of c?
8
Let z(f) = 6 + 6*f**2 - 7*f - 1 - 4*f**2. Let x be z(4). Suppose -4*y + x*y = 15. What is the units digit of y?
3
Let n(b) = -b + 7 + 6*b**2 + 8 - 5*b**2 - 1. Let c be n(0). Let w = -1 + c. What is the units digit of w?
3
Suppose -5*k = -0*k - 380. What is the units digit of k?
6
What is the units digit of ((2 - 3)*20)/(-1)?
0
Let i(b) be the first derivative of 1/2*b**2 - 2 + 4*b. What is the units digit of i(4)?
8
Let o(l) = -5*l**3 + 61*l**2 - 45*l + 56. Let c(k) = -k**3 + 12