27 = 0. Let x = y - 7. What is the units digit of x?
5
Suppose -25 = 5*n, 4*k + 169 = -0*n - n. Suppose 2*g + 3*y = -2*g + 219, 0 = -4*g - 4*y + 216. Let v = k + g. What is the tens digit of v?
1
Suppose r - c = 3*c + 1, -5*r = 2*c + 83. Let y be (-2)/5 - (-69)/r. What is the units digit of 6*1/y*-5?
6
Let h = 60 - 34. What is the units digit of 150/4 - (-13)/h?
8
Let q(b) = -b - 4. Let u be q(-6). Suppose -2*j = 3*j. Suppose -u*l + 10 + j = 0. What is the units digit of l?
5
Let h be 3*(3 - (1 + 0)). What is the tens digit of 24 + 8/(2 - h)?
2
Suppose -5*s = 2*k - 50, 26 = 4*s - s + 2*k. Suppose -v + 4*v - 2*a = s, 0 = 2*v + 3*a - 21. What is the units digit of v?
6
Let s = -23 - -14. Let q = -25 - s. Let j = -10 - q. What is the units digit of j?
6
Let r be ((-28)/6)/(8/(-12)). Suppose -4 = -5*i + 6. Let v = r - i. What is the units digit of v?
5
Suppose -5*w - 10 = -i - 3*i, -8 = 4*i + 4*w. What is the tens digit of (-96)/(-4 - i) + 4?
2
Let t be 52/14 - (-4)/14. Let k be (-1)/(-1) + 0/t. Suppose k = -2*p + 7. What is the units digit of p?
3
Suppose -3*p = -4*p + 10. Let r = 2 + 1. Suppose -2*k + r*j = 1 - 6, 3*k = 4*j + p. What is the units digit of k?
0
Let q(s) be the third derivative of s**5/60 + 11*s**4/24 + 4*s**3/3 - 2*s**2. What is the units digit of q(-11)?
8
Let c be (-16)/6*(-6)/4. Suppose -c*s - 35 = -9*s. What is the units digit of s?
7
Let f(o) = -o + 4*o - 1 + o. What is the units digit of f(2)?
7
Let k(b) = -4*b**3 + b**2 - 1. Let y be k(1). Let d be (20/(-8))/(1/y). Suppose -2*i = 5*s + 5, -2*i - i - d = 5*s. What is the units digit of s?
1
Suppose 140 + 132 = 4*o. What is the units digit of (-4)/(-6) - o/(-6)?
2
Let f(c) = c + 12. Let t be f(-10). What is the units digit of ((-11)/t)/((-3)/6)?
1
Let d be (78/(-9))/(2/6). Let o be (4 - 6)/((-2)/(-11)). Let i = o - d. What is the units digit of i?
5
Suppose -2*l = -5*l. Suppose l = -2*x + 2*o + 12, -2*x - 3*o + 17 = -0. What is the units digit of x?
7
Let x = 125 + -120. What is the units digit of x?
5
Let g = 174 - 123. What is the units digit of g?
1
Suppose -5*f = 4*s - 820, 7*s - 4*f + 816 = 11*s. What is the hundreds digit of s?
2
Let m(y) = -3*y**3 + 12*y**2 - 4*y + 14*y + 12 + 4*y**3. What is the tens digit of m(-11)?
2
Let v(n) = 2*n**2 + 11*n - 9. Let y(m) = -3*m**2 - 12*m + 10. Let z(d) = 4*v(d) + 3*y(d). Let l be z(7). Suppose -2*f - l = -23. What is the tens digit of f?
1
Let b(u) = u**2 + 45. Let w be b(0). Let h = w + -32. What is the units digit of h?
3
Let j(n) = 6*n - 1. Let c = -10 + 13. What is the units digit of j(c)?
7
Let u(a) = -a**3 + 7*a**2 - 7*a + 5. Let h be u(6). What is the units digit of h/(2/(-28)) + -3?
1
Let j(q) = -q**3 - 19*q**2 - 36*q + 25. What is the tens digit of j(-17)?
5
Let i = 8 - 5. Suppose 6*z = z + 20. Suppose z*k - 3*f = 33, 6 = i*k - f + 5*f. What is the units digit of k?
6
Suppose -4*b = -5*l + 3, 5*l = -b - 4*b + 30. Suppose l*q + 5 = -4*s, -q - 2*s + 5 = s. Let m = 1 - q. What is the units digit of m?
8
Let v(n) be the second derivative of 5*n**3/3 + 5*n**2/2 + 2*n. Let k be v(6). Suppose k = q + 4*q. What is the units digit of q?
3
Suppose -6*s = -2*s - 84. What is the tens digit of s?
2
What is the tens digit of (2450/15)/(-7)*-3?
7
Suppose -2*s + 9*s - 1428 = 0. What is the tens digit of s?
0
Suppose 3*w = -5*y + 7, 3 = 2*w - w + y. Suppose w*s - 9 = s. Suppose k = s*k - 4. What is the units digit of k?
2
Let q(i) be the second derivative of 3*i + i**2 + 2/3*i**3 + 1/2*i**4 + 1/20*i**5 + 0. What is the units digit of q(-5)?
7
Suppose 6 = 2*b + b. Suppose -4*g + 99 = v, -b*g + 102 = 2*g - 2*v. Suppose -7 = 2*w - g. What is the units digit of w?
9
Suppose 23 - 3 = 5*f. Suppose -f*y - 13 = -5*z, -3*z - 5 = -6*z + y. What is the units digit of z?
1
Let n = -23 - -5. Let y = -13 - n. What is the units digit of y?
5
Suppose -5*t + 11 = -19. Suppose t*y - 20 = 5*y. Suppose 0 = 5*v - z - y, 4 = -v + 2*v + 2*z. What is the units digit of v?
4
Let a(h) = -h**3 + 33 + 0*h**3 - 13. What is the units digit of a(0)?
0
Let o = 18 + -13. Suppose 4*m - 16 = -v, o*m - 11 = v - 0*v. What is the units digit of m?
3
Suppose 6 = -3*s + 36. Let a = -5 + s. Suppose a*i - 8 = 47. What is the tens digit of i?
1
Let t(u) = -u**3 + 2*u**2 + u. Let z be t(-1). Suppose 2*w - 21 = 5*o, z*w + 4*o - 5*o = 1. What is the tens digit of 20/(-6)*(w - 1)?
1
Let i(d) = -d**2 + d + 4. Let z be i(0). Suppose -5*c + 20 = -z*c. What is the units digit of c?
0
Let x(m) = 2*m + 5*m**2 - 3*m - 2 - m**3 + 4*m + 2*m. What is the units digit of x(5)?
3
Suppose m - 20 = 6*m. Let d = -1 - m. What is the units digit of d?
3
Let p(m) = -m - 10. Let v(w) = -w - 9. Let g(l) = 4*p(l) - 5*v(l). What is the units digit of g(-3)?
2
What is the units digit of 16/(-56) + 37/7?
5
Let r(p) = 3*p - 2. Let v be r(9). Suppose -2*k + v = -k. What is the tens digit of k/2 + (-1)/2?
1
Suppose -5*z = -3*d + 15, 0 = 4*d - z - 3 - 0. Suppose i - 1 - 3 = d. Suppose -i + 1 = -3*a. What is the units digit of a?
1
Let g(r) = 2*r + 4. Let m be g(-3). Let c be (4/(-8))/(m/8). Let a(n) = 3*n + 1. What is the units digit of a(c)?
7
Let g(a) = a**2 + a + 2. What is the units digit of g(2)?
8
Suppose -d = 3*d. What is the units digit of d - -3 - (-280)/8?
8
Let d be ((-3)/9*0)/1. Suppose 2*c = z - 9, d = -2*z - c - c. Let p(b) = -b + 5. What is the units digit of p(z)?
2
Let g = -2 - -2. Let j(l) = 4*l - 3. Let u be j(2). Let d = u - g. What is the units digit of d?
5
Suppose 18 + 26 = 2*b. Let u = -10 + b. What is the units digit of u?
2
Let y be 5/(2/(-112)*2). What is the units digit of (y/(-25))/(2/10)?
8
Let k be (9/(-2))/(-3)*-6. Let x = -3 - k. What is the units digit of x?
6
Let h(m) = 13*m**2 + 3*m + 2. What is the tens digit of h(-3)?
1
Let u = 10 + -6. Suppose 3*w = 5*y + 34, u*w - 2*y = 3*w + 11. What is the tens digit of w?
1
Let i(f) = -46*f**3 - 2*f**2 - f. What is the units digit of i(-2)?
2
Let n(s) be the second derivative of -2*s**3/3 + s**2/2 + s. Suppose -b - 3*b - 16 = 0. What is the units digit of n(b)?
7
Let f = -2 + 5. Suppose f*t - 32 = 2*r, 4*r + 48 = 5*t + 2*r. What is the units digit of t?
8
Suppose -4*o = -4*f + 108, o = -4*f + 2*o + 99. What is the units digit of f?
4
Let l = -15 - -22. Let f(s) = s**2 - 6*s - 3. What is the units digit of f(l)?
4
What is the units digit of 177/9 + 1/3?
0
Suppose -r + 5*m + 27 = 0, -2*m + 24 - 132 = -4*r. Let x = r - 49. What is the units digit of 2/8 - x/8?
3
Let j = 2 + -2. Suppose j*v + 4 = 2*v. What is the units digit of v?
2
Let n(u) = 5*u + 3. Let j(f) = 29*f + 17. Let z(i) = -6*j(i) + 34*n(i). Let d be z(-3). Suppose w = 4*p - 41, -d = 2*p - 3*p + 2*w. What is the tens digit of p?
1
Let y(u) = u**3 - 4*u**2 + 5. What is the tens digit of y(5)?
3
Let a be 6/(-27) + 130/18. Suppose a*h = 2*h + 25. What is the units digit of 99/15 + 2/h?
7
Let x(t) = -2*t + 3. Let b be x(2). Suppose -2*w - 2 = 8. What is the units digit of (4 - w)*b/(-3)?
3
Let n(w) = -w**3 - 5*w**2 - 5*w + 12. What is the units digit of n(-6)?
8
Let h(s) = -4*s + 8. Let o be h(-7). What is the units digit of 1/1*(o + -10)?
6
Suppose -5*s + 2*b = -16, -2*s - 3*s + 4*b + 22 = 0. Suppose -s*i - i = -6. Suppose -a + 8 = i. What is the units digit of a?
6
Let y = 7 + -3. Suppose -y*x + 3*t = -2*t + 35, -25 = 3*x - 5*t. What is the units digit of (-4)/x + (-8)/(-5)?
2
Suppose 8*k - 716 - 796 = 0. What is the tens digit of k?
8
Let c(a) = -a**2 + 29*a - 24. What is the tens digit of c(24)?
9
Suppose 0*l = -l - 2*j + 37, 2*j = 4*l - 168. What is the units digit of l?
1
Let v = -2 + 31. What is the tens digit of v?
2
What is the tens digit of (3 - 4)*210/(-6)?
3
Let x(p) be the third derivative of p**5/60 + p**4/24 + p**3/6 - p**2. Let d be x(-2). What is the units digit of (-8)/d*(-9)/4?
6
Suppose -i - 46 = 5*c, i - 2 = c - 18. Let f = -10 - i. What is the tens digit of f?
1
Suppose 348 + 667 = 5*c. What is the units digit of c?
3
Let s(f) = f**2 + 6*f + 14. What is the units digit of s(-6)?
4
Let x(l) = l**3 + 7*l**2 + 6*l + 5. Let c be x(-6). Suppose c*h - 29 = 11. What is the units digit of h?
8
Let k(s) be the first derivative of s**3/3 - s**2/2 + 2. Let p be k(1). What is the tens digit of 3/(p + (-2)/(-12))?
1
Suppose -5 + 35 = 5*g. Suppose -g*s = -s - 40. What is