What is the units digit of v(m)?
6
Let z(x) be the second derivative of -x**5/20 - x**4/12 - x**2 + 4*x. Let v be z(-2). Suppose -3*d = -2*l - 51, -4*l + 1 = d - v. What is the tens digit of d?
1
Let r(l) = -14*l**3 + l**2 + 2*l + 1. What is the units digit of r(-1)?
4
Let q(c) be the second derivative of c**4/12 - c**3/3 + 5*c**2/2 - 6*c. What is the units digit of q(5)?
0
Let j(k) = -2*k - 16. Let x(a) = a. Let r(w) = -j(w) - x(w). What is the units digit of r(-10)?
6
Suppose 0 = -12*j + 8*j + 464. What is the hundreds digit of j?
1
Suppose 0 = -2*h + 53 - 19. What is the tens digit of h?
1
Suppose u = -5*p - 20, 8 = 3*p + 20. Suppose 0 = -u*l + 3*l - 135. What is the tens digit of l?
4
Let t(v) = -2*v + 2. Suppose z - 17 = 5*m, -2*z = -7*m + 3*m - 10. What is the units digit of t(m)?
0
Let p(g) = -g - 4. Let x(m) = -4*m - 12. Let s(k) = 7*p(k) - 2*x(k). Let q be s(7). Suppose -14 = -q*z + z. What is the units digit of z?
7
Suppose -2*b + 4 = -z + 2, 0 = -3*b + 2*z + 4. Let x(l) = l**2 - l + 1. Let t be x(1). Let v = b + t. What is the units digit of v?
1
Let g be (-55 - -1)*(-26)/39. Let x = g - 1. What is the tens digit of x?
3
Let c = 502 + -289. What is the tens digit of c?
1
Let y be 0*(-1 - (-1 + -1)). Let u = 11 + y. Let i = 1 + u. What is the tens digit of i?
1
Suppose 4*i + 2*k - 104 = 0, -5*i - 5*k - 52 = -8*i. Suppose 3*c - 4*c + 3 = 0. Suppose r = -c*r + i. What is the units digit of r?
6
Let z(g) = g**2 + 9*g + 9. Let m be z(-8). What is the units digit of 43 + m + (-1 - 3)?
0
Let u be (-4)/(-16) - 2/8. Suppose u = -2*t - t - 18. What is the units digit of (-32)/t - 6/(-9)?
6
Let d(i) = i**3 + i**2 - 2*i + 62. What is the tens digit of d(0)?
6
Suppose 2*v + 3*o = -9, -2*v - 2*v = 3*o + 3. Suppose v*l - 5*l = -42. Suppose -3*f + 0*f = -l. What is the units digit of f?
7
Suppose 3*v + 2*v = 0. Let f(p) = p**2 - 5 - p + 7*p + v*p**2 + 4. What is the units digit of f(-7)?
6
Let b = 31 - 29. Let x(k) = 4*k - 4. Let n(m) = -1. Let z(s) = -3*n(s) + x(s). What is the units digit of z(b)?
7
Let v = -18 - -45. Suppose -5 = -4*u + v. What is the units digit of u?
8
Let s(o) = 2*o**3 - 5*o**2 + 3*o - 3. Let i = -6 - -9. What is the units digit of s(i)?
5
Let g = 0 - -2. Let m be 3/g + 65/10. What is the units digit of (1 + 4)*m/5?
8
Suppose 3*o = 25 - 7. What is the units digit of o?
6
Let u = 33 + 4. What is the units digit of u?
7
What is the tens digit of -3 + (13 - 0) + 1?
1
What is the units digit of (-1 - -1)/4 + 63 + 0?
3
Suppose -k + p = 2*p - 6, 3*p = k + 10. What is the units digit of k?
2
Suppose 0 = 4*i - o - 20, 2*o + 1 = 4*i - 19. Let g = 3 + -4. Let x = g + i. What is the units digit of x?
4
Let c = 7 + -5. Suppose -4*t = 5*k - 4, -5*t - 2*k = c*k - 14. What is the units digit of t/2 + 2 + -2?
3
Let d = -241 + 359. What is the tens digit of d?
1
Suppose 0 = -4*f - 5*g - 2, -3*f + 6*f + 2*g - 2 = 0. Suppose 5*s - 69 = -2*x, -f*s - 4*x + 11 = -23. What is the tens digit of s?
1
Suppose 1 = 3*u - 4*y + 7, 3*y = u + 7. Let z = u + -2. Let p = 13 - z. What is the tens digit of p?
1
Suppose -104 = -6*a + 22. What is the tens digit of a?
2
Let b(g) be the first derivative of g**3/3 - 7*g**2/2 - 5*g + 1. What is the tens digit of b(9)?
1
What is the units digit of (-48)/20 - -3 - (-2508)/20?
6
Let x = 214 - 75. What is the hundreds digit of x?
1
Let w = -84 - -182. What is the tens digit of w?
9
Let c(j) = 3*j**2 - 9*j + 2. What is the units digit of c(7)?
6
Let l(z) = z**3 + z + 6. Let q be l(0). Suppose -60 - q = -6*x. What is the tens digit of x?
1
Let t = 0 + 3. Suppose -5*n - 18 = -r, 2*r - 54 = -r - t*n. What is the tens digit of r?
1
Suppose 5*g - 2*g + 18 = 0. Let u = g - -6. Suppose -d + 1 = -u*d. What is the units digit of d?
1
Let j = -2 + -4. Let i be (j/(-9))/((-1)/3). Let y = 1 - i. What is the units digit of y?
3
Let d be (3 - 9)*(-4)/6. Suppose -u - 3*w = -17, -w - d*w + 43 = 3*u. What is the units digit of u?
1
Let q be 0/(-3 - 0 - -2). Let j be q + 4 - 1*-2. What is the units digit of (-104)/(-18) - j/(-27)?
6
Let c = 126 - 17. What is the hundreds digit of c?
1
Let i = 2 + 5. Suppose 45 = -i*x + 12*x. What is the units digit of x?
9
Suppose 2907 = 25*g - 3318. What is the units digit of g?
9
Let u = 2 - -29. Suppose -k + 3*c = u, -3*k = 2*k - 4*c + 100. What is the units digit of 4/k - (-34)/8?
4
Suppose -w - w = -24. Let m = w + -4. Suppose 0 = -2*x + 3*x - m. What is the units digit of x?
8
Let h be 2/4 + 7/2. Suppose 5*j - 7 = h*j. What is the units digit of j?
7
Suppose -5*j + 112 = 2*j. What is the tens digit of j?
1
What is the tens digit of 2007/9 - (1 - -4)?
1
Suppose -3*a - 12 = a. What is the units digit of (3/a)/((-6)/48)?
8
Suppose 5*i - 92 = q, -2*i + 41 = -0*q + q. What is the units digit of i?
9
Let j(b) = 6*b. Let w = 3 + -6. Let o = w + 4. What is the units digit of j(o)?
6
Let u = -1 + 3. Suppose u*q = -2*s, -2*q + 5*s + 1 = -27. What is the units digit of q?
4
Suppose 0 = 2*u + 3*u + 355. Let l = -37 - u. What is the tens digit of l?
3
Suppose 2*d - 15 = -37. Let c = 5 - d. Suppose 5*t = 3*t + c. What is the units digit of t?
8
Suppose 0*m - m - 3*t + 29 = 0, -4*t = -m - 6. Let f be 46/m - 6/21. Suppose -6 = -f*b + 9. What is the units digit of b?
5
Let g(n) = n**2 - 9*n + 1. Let q be g(8). Let h = q + 15. Let x = -3 + h. What is the units digit of x?
5
Let w = -7 + 17. Suppose 5*z + 0*h - 10 = 5*h, 4*h + w = 5*z. Suppose 3*s + 0*s = -z*u + 20, 4*u + 20 = 4*s. What is the units digit of s?
6
Let u(a) = -a - 7. Let l be u(-7). Suppose l = -3*n - n + 36. Let j = 15 - n. What is the units digit of j?
6
Let u be ((-1)/1)/(4/(-16)). Suppose -u*i = -i - 24. What is the units digit of i?
8
Suppose -3*x + 6*x + 6 = 0. Let m be (-1 - -1) + -1 + 1. Let q = m - x. What is the units digit of q?
2
Suppose -3*t + 6 = -6, -4*f = 5*t - 224. What is the units digit of f?
1
Let m be (-4)/(-18) + (-48)/(-27). Suppose -2*b - m*b = -4. Suppose -u + 1 = -b. What is the units digit of u?
2
Let w = 51 - 15. Suppose -w = 4*t - 164. What is the tens digit of t?
3
Suppose -2*n = 2*f - 46, f = 2*f - 1. What is the units digit of n?
2
Let t(x) = x**2 - 3*x - 19. What is the units digit of t(8)?
1
What is the units digit of 4*(-15)/(-2) + 1?
1
Let b(n) = n**3 - 10*n**2 + 9*n + 8. Let y be b(9). Suppose -6 - y = -r. What is the tens digit of r?
1
Suppose 13 = 3*u + 1. What is the units digit of 32/(-24)*(-30)/u?
0
Suppose 4*m - 8 = 0, 5*m = 4*j + 69 - 179. What is the tens digit of j?
3
Suppose -2*y + 2 = -2. Let v = 4 - y. What is the units digit of v?
2
Suppose 607 = 2*o + 3*w - 8*w, 2*o - 2*w = 604. What is the units digit of o?
1
Let i = 48 + -19. Let m = i + -15. What is the units digit of m?
4
Let t = 12 + -10. Suppose -5*f - 20 = 0, -t*j + 3*f = -69 - 13. What is the units digit of j?
5
Suppose -64 = -2*a + 172. What is the units digit of a?
8
What is the units digit of 32*1 - (-8 - -5)?
5
Suppose 2*v - 2 = -4*l, 2*v - 4*v = -3*l - 9. Suppose -5*p + 44 = -v*p. Suppose -4*w - 4*y + 24 = 0, -p = -3*w - 5*y - 2. What is the units digit of w?
5
Suppose -6 = 3*d, -44 - 19 = -k - 3*d. What is the units digit of k?
9
Let s be (0 - -4) + 0 + 1. Suppose -4*d + 4 = 0, s*n = -3*d + 4 + 14. Suppose 2*j + n*u - 18 = 4*u, j - 9 = 4*u. What is the units digit of j?
9
Let y(m) = 11*m - 16. What is the units digit of y(7)?
1
Let h be 1/3 + (-17)/(-3). Let a be -2*(1 + h/(-4)). What is the units digit of 1 + (-2 - -4)*a?
3
Let u(t) = -t**3 - 3*t**2 - 3*t - 1. Let s be u(-2). Let f = 0 + s. What is the units digit of (-2)/(-4)*4 - f?
1
Suppose 51*l - 60*l + 630 = 0. What is the units digit of l?
0
Let u(k) = -k - 3. Let y be u(-4). Let v be -2*(2 - -2 - y). What is the units digit of 2/(-3) + (-22)/v?
3
Let j be (-50)/(-15) - (-1)/(-3). Suppose 0 = q - 3*h - 15, -j*q = -0*q - 2*h - 17. What is the units digit of q?
3
Let b(i) be the second derivative of i**4/12 + i**3/2 + i**2 - i. Let q be b(-2). Suppose -3*a = -9 - q. What is the units digit of a?
3
What is the tens digit of ((-14)/42)/(-2*(-1)/(-66))?
1
Let a = 46 - 20. Let x be (-4)/(-6) - a/(-6). Suppose 0 = 4*z - 19 - 1, 5 = x*v - 2*z. What is the units digit of v?
3
Suppose 2*y = h + 6, 2*y - 3*h - 1 - 5 = 0. Suppose y*q - 5 = 2*q. Suppose -q*w + x = -10, -10 = 5*w - 2*x - 3*x