- 6. Let d be -6 + (0 + s)/(-2). What is the units digit of 2/6 + (-70)/d?
2
Suppose -144 = f - 4*f. What is the tens digit of f?
4
What is the tens digit of 9/45 - 319/(-5)?
6
Let b(t) = -t**2 - 12*t - 6. What is the units digit of b(-6)?
0
Let h(u) = u**2 - 14*u - 48. What is the units digit of h(24)?
2
Let s be 6/(-27) - (-60)/27. Suppose 0 = 4*c - s*h, 5*c + h - 18 = -4. Suppose -c*a = 0, -18 = 2*j - 4*j - 4*a. What is the units digit of j?
9
Let k(u) be the second derivative of 2*u**3 - u**2/2 - 6*u. Suppose 3*c = -j + 10, j + j - c = -1. What is the units digit of k(j)?
1
Let q(m) = m**3 + 5*m**2 - 7*m + 2. Let s = 4 + -10. What is the units digit of q(s)?
8
Suppose -4*n - 2*m - 93 + 695 = 0, 5*m = 4*n - 609. What is the tens digit of n?
5
Suppose 17 - 161 = -4*t. What is the tens digit of t?
3
Let v = 5 + -2. Suppose 2*i = 3*i - v. Suppose 0 = -2*y - q + 22, i*y - 3*q = 33. What is the units digit of y?
1
Let c = 10 - 18. Let q(r) = -r**2 - 10*r - 12. Let j be q(c). Suppose 5*l = j*w - w + 40, -4*l + 2*w = -34. What is the tens digit of l?
1
Let y be (-3 - -2)*1*-2. What is the units digit of -1 - (y - 2) - -22?
1
Suppose 6*f - 10*f + 44 = 0. What is the tens digit of f?
1
Suppose 0 = x - 5, -f - 3*f = 3*x - 27. Suppose y = f - 1. Suppose 0 = -y*b + 2*s + 3*s + 35, -2*b + 30 = -4*s. What is the units digit of b?
5
Let g(m) = m - 7. Let t be g(11). Suppose -3 = -n, -23 = -w - n - t*n. Suppose 2*k = w + 6. What is the units digit of k?
7
Let p(d) = -2*d + 2. Let l be p(-3). Let f = 11 - l. What is the units digit of f?
3
Suppose 4*w - 119 = -35. Let m = w + -6. Suppose 2*h + m = 43. What is the units digit of h?
4
Let m(h) = h**3 - 12*h**2 + 16*h + 4. What is the units digit of m(11)?
9
Let d = -1 - -5. Suppose 4*n - 8 = -5*i + 4*i, -n - d*i = -17. What is the units digit of n?
1
Let r = 1 - -5. What is the units digit of r?
6
Let x(h) = h**3 + 5*h**2 + 5*h - 4. Let n be x(-4). Let b = 13 + n. What is the units digit of b?
5
Suppose 2*f = 3*r + 12, 4*f = -0*r + 2*r + 16. Let y be r/(-1) - 2/1. Suppose y = o + 2 - 10. What is the units digit of o?
8
Let t = 46 + -16. What is the units digit of t?
0
Let f(m) = m + 8. Let p be f(-4). Let w be 6/(-8) - (-11)/p. Suppose 0 = d - w - 19. What is the units digit of d?
1
Let v = -11 - -8. Let k(f) = 2*f**2 + 3*f + 3. Let s(i) = i**2 - i. Let d(l) = v*s(l) + k(l). What is the units digit of d(5)?
8
What is the units digit of -6*(65/2)/(-5)?
9
Suppose 2*h = -4*p + 108, 0 = 4*p + 3*h + h - 112. What is the units digit of p?
6
Let y(b) = b**2 + 4*b - 5. Let c be y(-5). Let p be 5/10*(-1 + 7). Suppose 0 = 4*a, p*u + a - 3 = -c*u. What is the units digit of u?
1
Let c = -13 - -9. Let r be 189/6*c/(-6). What is the units digit of ((-28)/r)/(1/(-12))?
6
What is the units digit of (-7 - -2)/(1 - (-60)/(-57))?
5
Let f(w) = 2*w**2 + 4*w - 5. What is the units digit of f(-5)?
5
Let r = 11 + -11. What is the tens digit of 0 + r + 20/1?
2
Suppose v + 2 = 5*p - 188, v = 0. What is the tens digit of p?
3
Let p(n) = n**3 - 2*n**2 + n + 2. What is the tens digit of p(3)?
1
Let w be (2 - -1)*(-5 + 12). Suppose t - 18 - w = 0. What is the tens digit of t?
3
Suppose 5*x - 4*n = 341, 5*n + 0*n + 271 = 4*x. Suppose 0 = 5*k + z - x, 2*k - 4 = 5*z + 2. What is the tens digit of k?
1
Let f = 79 - 21. What is the units digit of f?
8
Let c(q) = q. Let p(b) = -b. Let w(t) = 5*c(t) + 6*p(t). Let a = 1 - 5. What is the units digit of w(a)?
4
Suppose 0 = -2*c - 0*c + 34. What is the units digit of c?
7
Let m(t) = t - 1. Let q be 3/(-6) + 69/(-6). Let d be q/(-7) - 2/(-7). What is the units digit of m(d)?
1
Let v(i) = -i**3 + 8*i**2 + 12*i + 8. What is the hundreds digit of v(-4)?
1
Suppose 4*o + 4 = -4*a + 2*o, -10 = -4*a + 5*o. Suppose a*y = 5*y - 10. Suppose 2*g = 2*z, 20 = y*z + 2*g + g. What is the units digit of z?
4
Let r = -44 - -85. What is the tens digit of r?
4
Let z = 28 + -12. Suppose -z - 44 = -3*n. What is the tens digit of n?
2
What is the units digit of ((-2)/2 + 3)*(-3288)/(-48)?
7
Let q(j) = 10*j - 52. What is the units digit of q(7)?
8
Suppose -10 = 4*t - v + 3, 10 = 2*v. Let q be (1 + -7)/(t/1). What is the units digit of (3*-1)/q*-6?
6
Let f = 85 - 53. Suppose -3*z - 3*l - 39 = 0, -3*z - l - 54 = -3*l. Let w = z + f. What is the units digit of w?
6
What is the hundreds digit of 2/(-6) + (-895)/(-3)?
2
What is the tens digit of (-4)/(-2) - (-17 - 1)?
2
Let o be -3 - ((-9)/(-3))/(-3). Let p(w) = -w**2 - 6*w + 7. Let i be p(-5). Let s = o + i. What is the units digit of s?
0
Let k(a) = -21*a + 9. Let n(m) = 4*m - 2. Let s(d) = 2*k(d) + 11*n(d). Suppose 0 = c - 4*c + 15. What is the units digit of s(c)?
6
Let q = -6 + 6. Suppose w = -q + 1. What is the units digit of (4 - 2) + -1 + w?
2
Let z be 3 + (-1)/2*14. Let s(d) = -d**3 - 2 - 4*d**2 + d - 2*d + 0*d. What is the units digit of s(z)?
2
Suppose -2*v + 5*p = 6, -4*v - 20 = -2*p + 8. Let b = 33 + v. What is the tens digit of b?
2
Suppose 0 = -3*v - b + 23, -5*v = -5*b - 6 + 1. What is the units digit of 57/v + (-1)/2?
9
Let r(w) be the second derivative of w**7/2520 + 7*w**6/720 - w**5/24 - w**4/4 - w. Let x(n) be the third derivative of r(n). What is the units digit of x(-9)?
3
Let v = 7 - -25. What is the units digit of v?
2
Let w(h) be the third derivative of -h**6/120 + 7*h**5/60 + 3*h**4/8 - 2*h**3/3 + 8*h**2. What is the units digit of w(8)?
4
Let n be (-1)/((8/(-6))/4). Suppose t - 2*t = -n. What is the units digit of t?
3
Let m = 7 + -2. Suppose -2*a + k + 9 = 0, m*k - 3 = 2. What is the units digit of a?
5
What is the tens digit of 3/(-9) - (-3215)/15?
1
Let v(h) = -h**2 + 4*h - 5. Let b be v(4). What is the units digit of ((-2)/b + 0)*5?
2
Let h be 14/4 - (-2)/4. Let n = -2 + h. Suppose 9 = 3*w + 2*i - 5, n*w = 5*i + 3. What is the units digit of w?
4
Let w(a) be the second derivative of -a**8/6720 + a**6/720 + a**5/24 + a**4/12 + 2*a. Let n(s) be the third derivative of w(s). What is the units digit of n(0)?
5
Suppose -5*r = -2*r - 45. Suppose -3*v = -u - 19, r - 39 = -2*v - 5*u. What is the units digit of v?
7
Suppose 0 = -2*z - r + 5, -3*z - 2*r + 18 = 3*r. What is the units digit of 12/6 + 3/z?
5
Suppose 4*x + 16 = 0, -4*d + 2 = 3*x - 2. Suppose 12 + 41 = 2*a - h, d*a - 4*h = 100. Suppose v + v = a. What is the tens digit of v?
1
Let q(d) = -d**2 + 7*d + 5. What is the tens digit of q(5)?
1
Let j(d) = d**3 + 3 + d**3 - 4*d**2 - d**3 - 5*d. Suppose 0 = o - 2 + 3, 5*l = 3*o + 28. What is the units digit of j(l)?
3
What is the units digit of (-184)/(-10) + (-6)/15?
8
Suppose 0 = h - 0*h - 4. Suppose 5*a = h*a + 13. What is the units digit of a?
3
Suppose -4*u = -7*u + 45. What is the tens digit of u?
1
Suppose 3*r = -r + 876. What is the tens digit of r?
1
Let l(a) = -a**2 + a + 14. Let p be l(0). Suppose -2 = 2*d + 4*n + 2, -d - 5*n = p. What is the units digit of d?
6
Let z(q) = 3 + 1 - 7*q - q**2 + 7 + 0. Let p be z(-8). What is the units digit of ((-1)/p)/((-4)/12)?
1
Let u be 138/2 + (-5 - -2). What is the units digit of (-4)/(-10) - u/(-10)?
7
Let w(j) = -j**2 - 9*j + 12. Let x(b) = -b**2 - 10*b + 13. Let n(v) = 4*w(v) - 3*x(v). What is the units digit of n(-7)?
2
Let d(k) = 6*k + 1. Let n be d(5). Let p = 4 + 1. Suppose -9 = -p*c + n. What is the units digit of c?
8
Suppose 17 = 4*p - 39. Suppose -p - 22 = -3*g. Let i = 18 - g. What is the units digit of i?
6
Suppose 6*g + 379 = 1111. What is the tens digit of g?
2
Suppose 2*b - 4*z - 508 = -0*z, 2*b - 484 = -2*z. Suppose 2*p - 5*p = 4*t - b, 4*t + 5*p - 250 = 0. What is the units digit of t?
0
Let m(a) = -a**3 - 4*a**2 - 3*a. Let s be m(-3). Suppose s = -3*k - 4 + 58. Suppose k = -0*f + 3*f. What is the units digit of f?
6
Let p(x) = -3*x**2 + 4*x - 2. Let g be p(2). Let v = g + 9. Suppose -2*k = -1 - v. What is the units digit of k?
2
Suppose 5*n - 374 = -t + 3*n, -5*n + 1493 = 4*t. What is the hundreds digit of t?
3
Let k = 15 + -11. What is the units digit of k?
4
Let c be ((-9)/3)/((-2)/6). Let y be (-5 + 0 - -1) + 0. What is the units digit of (-30)/y*12/c?
0
Suppose -8 = -4*y + 2*y. Suppose o = -y*o + 60. What is the tens digit of o?
1
Let f be (3/(-4))/(1/(-4)). Suppose 2*c - f*c = -7. What is the units digit of c?
7
Suppose -c + 10 = 4*c. Suppose -c*i + 5*a + 3 = 0, -6 + 1 = -a.