 32. What is the units digit of k?
6
Let j = -5 - -5. Suppose 5*i - 5*m = 20, j = i + 3*m - 16 - 4. What is the units digit of i?
8
Let n(u) = 8*u - 18. Let h be n(12). Suppose f - 6*f + h = 4*y, 44 = 3*f + y. What is the tens digit of f?
1
Let m(p) be the third derivative of p**6/120 - 2*p**5/15 + p**3/2 - p**2. Suppose -3*o + 4*o - 11 = -q, -5*q = 4*o - 47. What is the units digit of m(o)?
3
Suppose -2*r = -194 - 130. What is the hundreds digit of r?
1
Suppose -r + 198 = -4*y, -204 = 2*r - 3*r + 2*y. What is the tens digit of r?
1
Let b(l) = l + 6. Let a be b(-8). What is the units digit of 20 - (-1 - (-2)/a)?
2
Suppose -16 = 2*n + 10. Suppose 3*f - 49 = 2*y + 45, 5*f - 161 = -y. Let z = f + n. What is the units digit of z?
9
Let b = 53 - 43. Let k = 33 + -13. Let w = k - b. What is the tens digit of w?
1
Let n(q) = q**3 + 5*q**2 - 5. What is the tens digit of n(-4)?
1
Suppose -2*h + 6*h = 24. Let r = h + 1. What is the units digit of r?
7
Let y = -23 - -32. What is the units digit of y?
9
Let c(y) = y**2 + 3*y - 2. Let g be c(-3). Let n = g - -3. Let z(l) = 6*l - 1. What is the units digit of z(n)?
5
Let u(s) = -s**3 + 2*s**2 - 2*s - 17. Let t(c) = -2*c**3 + 5*c**2 - 5*c - 34. Let m(x) = 2*t(x) - 5*u(x). What is the tens digit of m(0)?
1
What is the tens digit of 2/(-13) - 1828/(-52)?
3
Let z(d) = d**2 - 3*d - 7. Let h be z(5). Let n be 3*(-2 + h)*-1. Let x = n + 4. What is the units digit of x?
1
Let c(f) = -f**3 + f**2 - f. Let q be c(1). Let v be (-5)/((-15)/6) + q. What is the units digit of -2 - (v + -9 + 0)?
6
Let m(r) = 2*r**2 + 8*r + 27. What is the tens digit of m(-10)?
4
Let v = -6 - -9. Let n(c) = 15 + c - v*c + c. What is the units digit of n(7)?
8
Let f = 6 + -8. What is the units digit of f - (-4 + (-1)/1)?
3
Let k be (2 - 0)*2 + -2. Suppose 4*f - 6 = 2*o, k*o = -f - 0*o - 11. What is the tens digit of 9 - -2 - (1 + f)?
1
Let n(d) = 2*d**3 - 6*d**2 - 4*d + 6. What is the units digit of n(5)?
6
What is the hundreds digit of 4/(-22) + (-75548)/(-242)?
3
Suppose 4*v + 4*c = 104, -4*v + 92 = -4*c + 2*c. What is the tens digit of v?
2
Let a = -11 + 15. Suppose 14 = -a*t + 62. What is the tens digit of t?
1
What is the units digit of (-34)/4*(-13 + 9/3)?
5
Let l = -8 + 3. Let b = l - -12. Let f = 11 - b. What is the units digit of f?
4
Let l(x) = -x**2 + 4*x + 3. Let q be l(4). Let v be 11/q + (-4)/6. Suppose -5*u = 3*f - 0*f - 15, v*u + 4*f = 9. What is the units digit of u?
3
Let l = 26 - 23. Suppose -l*n = -87 - 42. What is the units digit of n?
3
Let t be (-6)/12 + 2/4. What is the units digit of 3 + 2 + -1 + t?
4
Let u(j) = -j**3 + 2*j**2 + 2. Let o be u(2). Suppose z = -4*z - 25, 5*d = -o*z + 5. What is the units digit of d?
3
Let f(h) = 13 - h - 3*h + 6*h + 4. Let l be f(-13). What is the tens digit of 21*(-6)/l - 1?
1
Let r(l) = -l**2 + 13*l - 5. Let x be r(13). Let m = -4 - x. What is the units digit of m?
1
Let q be 1 - 1/(1/(-2)). Suppose q = 7*i - 4*i. Let s = i + 0. What is the units digit of s?
1
Suppose -4*b + 4*l = -0*b - 32, -4*b = 4*l - 64. Suppose -3*o - o = -b. Suppose y - o*y = -22. What is the units digit of y?
1
Let m(o) = o**3 - 16*o**2 + 15*o + 26. What is the tens digit of m(16)?
6
Let o = 405 - 138. What is the hundreds digit of o?
2
Suppose -3*w = 3*w - 258. What is the units digit of w?
3
Suppose -3 + 0 = u. Let j(h) = -1. Let y(m) = m**2 + 5*m + 6. Let r(n) = -3*j(n) - y(n). What is the units digit of r(u)?
3
Let y(l) = l**2 - 7*l - 12. Let x be y(10). Let b = x - 16. What is the units digit of b?
2
Let r(z) = -z**3 - 5*z**2 - z + 1. Let u be r(-5). Let o be (8/u)/(8/(-12)). Let k(c) = -10*c - 1. What is the tens digit of k(o)?
1
Suppose -170 = -8*g + 3*g. What is the units digit of g?
4
Let y = -2 + 6. Suppose y*t - 73 = -21. What is the units digit of t?
3
Suppose -q = 2*q - 42. What is the tens digit of q?
1
Let g be (-1)/(-3 + 24/9). Suppose 17 = -0*i + 5*i - u, 5*i - 21 = g*u. What is the units digit of i?
3
Let q = 48 + -7. Suppose -4*i - 13 + q = 0. What is the units digit of i?
7
Suppose 9 = 3*d + 3*z, 10 - 24 = -2*d + 2*z. Let k = d + -2. Suppose 5*b + 4*h - 40 = 0, -b - k*h - 16 = -3*b. What is the units digit of b?
8
Let n = 4 - 12. Let q = 16 + n. What is the units digit of q?
8
Let u(d) = -d**2 + 2*d + 4. Suppose 0 = -2*l + q, l - 2*l - 4*q - 18 = 0. Let o = 5 + l. What is the units digit of u(o)?
1
Let h(y) = -y + 141. Let x be h(0). Suppose -3*d + 2*u - u = -147, x = 3*d + u. What is the tens digit of d?
4
Suppose -2*u = -4*v + 162, 2*u = 3*v - 91 - 32. What is the units digit of v?
9
Let y(p) be the first derivative of p**4/24 + p**3/2 - 3*p**2/2 + 3. Let l(q) be the second derivative of y(q). What is the units digit of l(5)?
8
Suppose -5*z - 6 = -31. Let w = 0 + z. What is the units digit of w?
5
What is the tens digit of -1 + (38 - 1/1)?
3
Let j be (-158)/(-12) - (-2)/(-12). Let b = j - -17. Suppose -2*o + b = -2. What is the tens digit of o?
1
Let i = -15 + 64. What is the tens digit of i?
4
Let k be 2 + 6 + 0/(-2). Let v(h) = -6*h - 3*h**3 - 6 + 9*h**2 - 2 + 2*h**3. What is the units digit of v(k)?
8
What is the hundreds digit of 2*(-5)/(-20)*382?
1
Suppose 0 = g + g - 6. Suppose 3*a = 15 + g. What is the units digit of a?
6
Suppose -m - 8 = -0*m. Let c be (-4)/(-6)*12/m. What is the tens digit of c - (3 - (14 - -3))?
1
Let v = 2 - 2. Let j(o) = o**2 + 1. Let m be j(v). Suppose 0 = -5*k - 4*g - m, 4*k = g - 0*g + 16. What is the units digit of k?
3
Let d(x) = x**2 + 2*x + 3 + 6*x**2 + x**2 - 4*x**2. Let p be d(-2). Let k = p + 5. What is the tens digit of k?
2
Let n(k) = k - 9. Let h be n(11). Let y be (h - -1)*(-35)/(-21). Suppose -3*f - 5*v + 5 = 2*f, 5*v + y = 0. What is the units digit of f?
2
Let i(n) = n**2 + 4*n - 7. Let r be i(-5). What is the units digit of 4 + 1 + (r - -1)?
4
Let w = 863 - 549. What is the units digit of w?
4
Let j(n) = n**2 - 3*n + 2. Let b be j(3). Let s be 15/(-2)*b/(-3). Suppose -54 = -s*k - 14. What is the units digit of k?
8
What is the tens digit of (-2 - (-761)/7) + (-4)/(-14)?
0
Let y(n) = -n**2 - 12*n - 4. What is the tens digit of y(-8)?
2
Suppose -3*k = -11 - 22. What is the tens digit of k?
1
What is the units digit of (-51)/((3/2)/(-1))?
4
Let s be (-156)/18*3/(-2). Let a = -2 + s. What is the units digit of a?
1
Let r be ((-6)/(-15))/((-3)/15). Let s(o) = -5*o - 3. Let c be s(-2). Let h = r + c. What is the units digit of h?
5
Suppose -a = -5*a + 200. What is the units digit of a?
0
Suppose 4*s + 56 = 540. What is the hundreds digit of s?
1
What is the units digit of (-2)/(-3)*(-98)/(-4)*3?
9
Let c(v) = 2*v + 35. What is the units digit of c(0)?
5
Suppose -i = 2*i - 5*l - 40, 96 = 4*i + 4*l. Let u be (0/(-2) + -1 - -1)/2. Suppose -3*q + 8*q - i = u. What is the units digit of q?
4
Suppose 4*h - 2*t - 196 = 0, 3*h - t - 147 = 4*t. What is the units digit of h?
9
Let z(a) = a**3 - a**2 - a - 74. Let c be z(0). Let p = -25 - c. What is the tens digit of p?
4
Let a = 15 - 11. Suppose a*w = -2*s - 7 - 1, 2*s + w = 1. What is the units digit of s?
2
Let o(j) = 7*j - 1. Let x be o(1). Let p(z) = z**3 - 7*z**2 + 9*z - 5. What is the units digit of p(x)?
3
Suppose -2*h = 4*r, 0 = -4*h + 8*h + 2*r - 24. Suppose 0 = -a + 2*a - h. What is the units digit of a?
8
Let k = -18 - -27. Let t = k - 6. Suppose -s - 2*y = 4*s - 5, -3*s - 3*y + t = 0. What is the units digit of s?
1
What is the tens digit of (2 - 7)*10/(-2)?
2
Suppose f = 3*f + 36. Let a = -9 - f. What is the units digit of a?
9
Let h(a) = a**3 - 5*a**2 + 3*a + 3. Let s be h(3). Let q = s + 17. What is the units digit of q?
1
Let m(y) = -18 + 16 + 0*y**2 + 5*y + y**2 + y**2. What is the units digit of m(4)?
0
Suppose b + u - 3 = 0, -1 - 2 = b + 4*u. Suppose -v - b = s + 2*v, 4*v = -20. What is the units digit of s?
0
Suppose -6*j - 2360 = -16*j. What is the tens digit of j?
3
Suppose -2*o + 28 = 4*i, -4*o + 20 = -0*i + 4*i. Let l(n) = n**2 - 8*n - 9. Let k be l(i). Suppose a + 106 = 5*v, a = -k*a - 1. What is the tens digit of v?
2
Let d be 3/(-9) - 16/(-3). Let o(x) = 14*x + 4. Let z be o(4). Suppose -2*m + 2*f - 54 = -7*m, -d*m = 5*f - z. What is the tens digit of m?
1
Suppose -19*i + 21*i - 12 = 0. What is the units digit of i?
6
What is the tens digit of (-2)/20 + 421/10?
4
Suppose 4*l =