z + z - x. What is the units digit of z?
4
Suppose -5*a = 5*f - 25, 0 = -3*a + 6*f - 3*f - 3. Suppose 80 = a*w - 2*d, 5*d - d - 40 = -w. What is the units digit of w?
0
Let s = -9 + 27. Suppose s + 18 = -4*m. What is the units digit of 3/m + 75/9?
8
What is the tens digit of 6/(-21) + (10980/21)/3?
7
Let q(a) = a**3 - 13*a - 13. Let w be (-1 + -1 - -8) + -1. Let b(k) = k**3 + k**2 - 12*k - 12. Let v(z) = w*b(z) - 4*q(z). What is the units digit of v(-6)?
4
Let m be 1*15/9*-3. Let z(t) = -2*t - 6. Let b be z(m). Suppose -5*f + b = -21. What is the units digit of f?
5
Suppose -5*y - 9 = 6. Let s = 5 + -9. Let n = y - s. What is the units digit of n?
1
Suppose -34 - 82 = -4*r. What is the tens digit of r?
2
Suppose -4*x + 2 = -2. Let d(p) = 64*p**2 + p. Let t be d(x). Let s = t - 45. What is the tens digit of s?
2
What is the units digit of (-2)/(-2*(-3)/(-93))?
1
Let p(t) = t**2 + t - 2. Let l be p(-2). Let r be (-27)/(-2)*(-2 - l). What is the units digit of (-14)/(-8) - r/(-36)?
1
Suppose -8*f + 478 = -6*f. What is the hundreds digit of f?
2
Suppose -4*q + 117 + 27 = 0. What is the tens digit of q?
3
Let m be 1/((-1)/(-5)) + -2. Suppose 0 = m*u - 0 - 12. What is the units digit of u?
4
Let t be 0 + -1 + -5 + 8. Let x(u) = 2*u**3 - 2*u**2. What is the units digit of x(t)?
8
Let y(b) = -2*b**2 + 1 - 4 + b + b**3 - 1. Let f be y(3). Suppose -4*d = -0*g + 3*g + f, -1 = -5*d - g. What is the units digit of d?
1
Suppose 0 = -p + 35 + 23. What is the tens digit of (p/(-4))/(8/(-16))?
2
Let f be -1 - 0 - (0 - 133). Suppose 5*a - f = -7. What is the tens digit of a?
2
Let w(d) = -4 + 2*d + 0 + 3*d + 3*d. What is the units digit of w(2)?
2
Suppose 0 = -5*o - 5*f + 1305, 7*o + 4*f + 276 = 8*o. What is the tens digit of o?
6
Suppose -4*n = -5*m + 157, -2*m - 173 = -7*m - 4*n. What is the tens digit of m?
3
Let k(b) = -b**3 + 7*b**2 - 6*b + 2. Let s be k(6). What is the units digit of (5 - 8)/(s/(-36))?
4
Let r = 6 + 0. Let o(i) = -3*i + r - 6. What is the units digit of o(-2)?
6
Let q be (-32)/14 + (-6)/(-21). Suppose -3*h = -4 - 5, -2*l = h - 7. Let g = l - q. What is the units digit of g?
4
Let l = -3 - -8. Let r be 1*(-3 + 0)*-1. Suppose 3*o = l*p - 34, r*p + 4 = -o + 16. What is the units digit of p?
5
Let k(l) = 10*l. Let m be k(2). Suppose -2*f - 2*f - m = 0, 33 = 3*v - 3*f. Let w(g) = g - 1. What is the units digit of w(v)?
5
Let n be ((-2)/4)/((-4)/16). Suppose 0 = 2*a - 8 - n. What is the units digit of a?
5
Suppose 0 = -4*n + 1 + 3. Let r be (0/3)/n + 0. Suppose r*h = -4*h + 68. What is the units digit of h?
7
Let t(q) = -q**3 + 9*q**2 + 11. What is the units digit of t(9)?
1
Let x = -1 + -4. Let p = 6 + x. What is the units digit of p?
1
Suppose k - 6 = -2*k. Let r(n) = n + 2. What is the units digit of r(k)?
4
What is the units digit of (9 + -3)/3 + 20?
2
Let b = 29 + -28. What is the units digit of b?
1
Let s(g) = -32*g - 18. What is the tens digit of s(-5)?
4
Let j(p) be the second derivative of p**5/20 - p**4/4 - p**3/3 + 2*p**2 - 2*p. Let k be j(3). What is the units digit of (16/3)/(k/(-3))?
8
Suppose -5*n = -2*q + 6, -5*q + 15 = -0*n - 5*n. What is the units digit of q?
3
Let h = 5 + 3. What is the units digit of h?
8
Let q(f) = -f + 1. Let m(i) = i**2 + 7*i - 2. Let n(a) = m(a) + 6*q(a). Let z(r) = r**2 - 6*r - 7. Let j be z(7). What is the units digit of n(j)?
4
Suppose 0 = m + r + 1 - 3, -m + 4*r + 2 = 0. Let y be (m - (2 + 0))/1. Suppose -4*w + 1 + 7 = -4*o, 4*o + 4*w - 24 = y. What is the units digit of o?
2
Let s(m) = 0*m + 10*m + m + m - m**2 + 4. What is the units digit of s(12)?
4
Suppose 5*d - 2*f = 38 + 342, f = -4*d + 317. What is the units digit of d?
8
Suppose 2*q = -2*q + 2*y + 160, 5*q - 200 = 4*y. Let w be 2/(-5) - (-816)/q. Suppose 0 = -k - k + w. What is the tens digit of k?
1
Let j(g) be the third derivative of g**6/15 + g**5/60 - g**3/6 + 4*g**2. What is the units digit of j(1)?
8
Let a = 16 - 8. What is the units digit of a?
8
Let i(l) = l**2 + 5*l - 10. Let x be i(-7). Suppose x*n = 2*n + 50. What is the units digit of n?
5
Let p be (2 - (-48)/(-9))*-3. Suppose -5*n + 8 = 4*r, -3*n - 4*r - p = -9*r. Suppose 2 + 2 = -b, -4*y - b = n. What is the units digit of y?
1
Let t = -1 - -1. Let j = 1 + t. Suppose -4*b - j = -5*b. What is the units digit of b?
1
Suppose g + 0*p = 2*p - 7, 0 = -5*g + p + 10. Suppose g = z - 10. What is the units digit of z?
3
Suppose 0 = 4*g + 1 - 17, 2*i - 16 = -2*g. What is the units digit of i?
4
Let d(y) = -2*y**3 + 16*y**2 - 15*y - 22. Let t(s) = -3*s**3 + 31*s**2 - 31*s - 43. Let u(a) = -5*d(a) + 3*t(a). What is the units digit of u(-14)?
7
Suppose 6*g - g - 370 = 0. What is the tens digit of g?
7
Suppose -4*j + 293 = 4*p + 61, -5*j + 15 = 0. Let l be (1/3)/((-1)/(-12)). Suppose -6*g + l*d = -g - 61, 4*g = -3*d + p. What is the units digit of g?
3
Let x(l) be the third derivative of -11*l**4/24 - 2*l**3/3 - 9*l**2. What is the units digit of x(-4)?
0
Suppose 2*y = -0*y. Suppose y*c - 6 = -2*c. Let g = c + 8. What is the units digit of g?
1
Let n(m) = 1 - m**3 - 2 + 0*m**3 + 2*m**2 + 2*m. Let k be 5 + 119/(-28) - 10/(-8). What is the units digit of n(k)?
3
Let p = 23 - 7. Suppose -u - 4*c + p = -5*c, 5*c + 24 = u. What is the tens digit of u?
1
Let f(v) = 2*v + 6. Let u be f(7). Suppose -u - 52 = -2*s. Suppose 0 = -l - 3, -3*r + 0*r = -5*l - s. What is the units digit of r?
7
Let s(w) = w**3 + 10*w**2 - 16*w - 2. What is the units digit of s(-11)?
3
Suppose 5*h - 18 + 8 = 0. Suppose -h*n = -n - 12. What is the tens digit of n?
1
Let n(l) = l**3 + 12*l**2 - 20*l - 10. What is the tens digit of n(-13)?
8
What is the units digit of ((-1)/(-3))/((-14)/(-7686))?
3
Let m = -5 + 4. Let y(n) = -2*n**2 - n + 6. Let g be y(-4). What is the units digit of (m + 0)/(11/g)?
2
What is the units digit of (-64)/(-3) + 24/36?
2
Suppose 3*t + 3*h - 1191 = -2*t, -4*t + 2*h + 944 = 0. What is the tens digit of t?
3
Suppose -3*t + 9 = 3*u, 0 = -3*u + 2*t + 4. Suppose -u*z = -21 - 5. What is the units digit of z?
3
Let i = 6 - 1. Suppose -i*g + 78 = q, 4*g = 4*q + 27 + 45. What is the units digit of g?
6
Let f = 59 - 41. What is the tens digit of f?
1
Let m = 9 + -4. Suppose -m*u = -8 - 12. Let p = 5 - u. What is the units digit of p?
1
Let z(u) be the second derivative of u**4/12 - u**3 - 10*u**2 + 2*u. What is the units digit of z(10)?
0
Suppose -3*v + 100 = -74. Let c be v/5 + (-8)/(-20). Suppose 2*a = -0*a + c. What is the units digit of a?
6
Suppose -2*r = 6 - 58. What is the tens digit of r?
2
Let b be 6/15 + (-4)/10. Suppose -5 - 4 = -5*n + 3*q, b = -5*q + 10. What is the units digit of ((-30)/(-9))/(2/n)?
5
Let y(x) be the first derivative of 23*x**2/2 - 2. What is the units digit of y(1)?
3
Suppose -6 = 2*b - 0. What is the units digit of 7 + -3 + (0 - b)?
7
Suppose 2*o + 2 = -2*u - 14, -2*o = 4*u + 28. What is the tens digit of ((-4)/u)/(9/351)?
2
Let g = 0 + -2. Let t = g + 6. Suppose a = -t*a + 15. What is the units digit of a?
3
What is the tens digit of (3 - (-4)/12*0) + 31?
3
Suppose q + a = -a + 10, 0 = -2*q - 3*a + 18. Suppose -2*u + 8 + q = 0. What is the units digit of u?
7
Suppose o = -5*z - 0 + 2, -z = 5*o - 34. Let w be 5/10 + o/2. Suppose 65 = 5*a - f, -2*f + w + 10 = 2*a. What is the tens digit of a?
1
Let l be (-6)/(2 - (-96)/(-45)). Let f be 922/18 - 10/l. Suppose 3*u + 0*u = f. What is the tens digit of u?
1
Let q(m) = -81*m - 18. What is the units digit of q(-3)?
5
Suppose 2*s - 19 - 69 = 0. What is the units digit of s?
4
Let s(j) = 6*j + 2*j**2 - 3*j - 5*j + 1 - 13*j**3. Let g be s(1). Let c = 21 + g. What is the units digit of c?
9
Let j(s) = s**2 + 2*s - 3. Let q be j(3). Let d = 33 - q. What is the tens digit of d?
2
Suppose p - 4*h = 27, 3*p - 3*h - 29 = 7. Let l = -24 + 3. What is the units digit of p/l + (-44)/(-6)?
7
Let h = -199 + 126. Let q = -43 - h. Suppose 0*g = -5*g + q. What is the units digit of g?
6
Suppose 0 = -3*k + 5*k. Suppose k*w = w - 9. What is the units digit of w?
9
Let v = -31 + 44. Suppose -20 - 24 = -2*u. Let w = u - v. What is the units digit of w?
9
Let q be 22780/187 - 2/(-11). Let o = q - 82. What is the units digit of o?
0
Suppose 2 = -r + 15. What is the units digit of r?
3
Let w(m) = m**3 + 3*m**2 - 5*m - 1. Let u(l) = 4*l**3 + l**2 - l - 1. 