e -1 - f = -2*l. What is the units digit of l?
1
Let y(o) = o**3 + 8*o**2 - o - 6. Let u be 4/6 - (-78)/(-9). What is the units digit of y(u)?
2
Let p be -1 + 0 + 31 + -2. Suppose 0 = -3*f + 2 + p. What is the units digit of f?
0
Let t(l) = -2*l - 10. What is the units digit of t(-9)?
8
Let g(v) = v - 8. Let f be g(11). Suppose 2*d - h - 8 = 0, -f*d - 4*h + 33 = 2*d. Suppose -70 = -d*j + 2*r + 3*r, 2*r + 82 = 5*j. What is the tens digit of j?
1
Let l(t) = 6*t**3 + 5*t - 3. What is the units digit of l(2)?
5
Suppose 21 = 3*y + 4*u - 7*u, 9 = y - 3*u. What is the tens digit of (-2)/3 - (-112)/y?
1
Suppose -207 = -4*v + p, 4*v + p - 192 = 5*p. Suppose 15 = a - 2*w, -a + v = 3*a - w. What is the units digit of a?
3
What is the units digit of (18/4)/((-30)/(-200))?
0
Let k(x) = -x**3 + 8*x**2 - 11*x + 8. What is the units digit of k(6)?
4
Suppose 5 = -n - n + 5*m, 0 = -4*n + 5*m - 5. Let k(i) = -i**3 - i**2 - i - 12. Let y be k(n). What is the units digit of (-80)/(-24)*y/(-5)?
8
Let j(r) = r**2. Let w be j(5). Suppose 2*o + 3 - w = 0. Let k = 17 - o. What is the units digit of k?
6
Let o(b) = 4*b**3 + 7*b**2 + 3*b - 12. Let n(k) = 3*k**3 + 8*k**2 + 4*k - 12. Let t(s) = 3*n(s) - 2*o(s). What is the units digit of t(-9)?
5
Suppose -6*c + 55 = -c. Suppose 2*m - 3*m + 3 = 0, 0 = -2*u - m + 9. Suppose c = u*d - 13. What is the units digit of d?
8
What is the units digit of (1 - 55)*21/(-14)?
1
Let s(t) = -t - 6. Let l be s(-6). Let h = 12 - l. What is the units digit of h?
2
Suppose -t + 8 = -n, -6 = -n - 1. What is the tens digit of t?
1
Let n = 7 + 28. What is the tens digit of n?
3
Let l = 518 - 309. What is the tens digit of l?
0
Let r(i) = -i + 2. Let k be r(2). Suppose h - 23 - 6 = k. What is the units digit of h?
9
Suppose j + 0 + 3 = 0. Let d be 11*(0 + -2) + 3. What is the units digit of d/j - (-6)/9?
7
Suppose 158 = 5*q - q + 5*p, -5*q = -2*p - 214. Let s = q - 23. What is the units digit of s?
9
Let l(q) = -3*q**3 - 2*q**2 - 4. Let y be l(-3). Let o = y + -35. What is the tens digit of o?
2
Let v be (-68)/(-5) + (-4)/(-10). Let p = -9 + v. Let g = p - -3. What is the units digit of g?
8
Let o = -2 - -7. Let s(d) = 3*d + 4*d - 4 - 6*d. What is the units digit of s(o)?
1
Let z = -58 + 115. What is the tens digit of z?
5
Let r(p) be the first derivative of p**3/3 + p**2 - p - 3. Suppose 4*a - h = -4*h - 4, -3*h + 16 = -a. What is the units digit of r(a)?
7
Suppose 0 = -3*o - o + 8. Suppose 0 = -3*a + o*a + 4. What is the units digit of a?
4
Let i(l) be the third derivative of -l**6/120 - l**5/20 + 5*l**4/24 - 7*l**3/6 - 6*l**2. What is the tens digit of i(-5)?
1
Let x = -53 - -138. What is the units digit of x?
5
Let v(x) = -3*x + 13. Let s(r) = 13*r - 53. Let q(m) = 2*s(m) + 9*v(m). Let o be q(6). Suppose 0 = -o*j + 33 + 22. What is the units digit of j?
1
Let o(f) = -f**3 + 6*f**2 - 5*f + 4. Let z be o(5). What is the units digit of 9 + -2 + 8/z?
9
Suppose 10*t - 459 = 271. What is the tens digit of t?
7
Suppose 6*x = 3*x + 12, 0 = -4*p - 4*x + 188. What is the tens digit of p?
4
Let k = 7 - 4. Suppose 0 = -k*s - q + 39, q = 4*s - 31 - 28. What is the tens digit of s?
1
Suppose 0 = -r + k + 4, 2*r - 3*k = -8*k + 1. Suppose r*x + 3*q + q - 11 = 0, 0 = -4*x + 3*q - 2. Suppose t - x = 8. What is the units digit of t?
9
Suppose -3*n - 5*s + 174 = -0*s, -3*n + 174 = 4*s. What is the units digit of n?
8
Suppose 2*r - 2 = -0*r. What is the tens digit of (-3)/(6/8 - r)?
1
Let v(f) = 2*f**3 + 2*f**2 + 2. What is the units digit of v(2)?
6
Suppose -4*w - 4*u + u + 64 = 0, 0 = -2*u. Let z be 44/w - 1/(-4). What is the units digit of -1 + z - 3/(-1)?
5
Let u = 5 + -4. Let l be u - (-6)/2*-1. Let r(g) = -3*g**3 - 4*g**2 - g + 2. What is the tens digit of r(l)?
1
Let m(h) = -h**3 - 3*h**2 - 4*h. Suppose 5*c - 4*s = -15 + 4, 3*c = -s - 10. Let x be m(c). Suppose 6*b - 2*b = x. What is the units digit of b?
3
Let n(m) = -2*m - 1. Let t be 5/((-15)/6) + 1. What is the units digit of n(t)?
1
Let v be 0 - (0 + (0 - 2)). Let n be 1/(-2)*-2 + 11. Let o = n - v. What is the units digit of o?
0
Let h = -2 - -4. Suppose 2 = h*a - 4. Suppose 2*c + a*u = 3, -5*u + 11 = 6*c - 2*c. What is the units digit of c?
9
Let z(w) = -w**3 - 4*w**2 + 4*w - 7. Let g be z(-5). Let c = 3 - g. What is the units digit of c?
5
What is the units digit of ((-69)/18)/(4/(-24))?
3
Let q(x) = 12*x - 4. Let a be -1 - -2 - 1*-2. What is the tens digit of q(a)?
3
Let i be (-43)/(-9) + 8/36. Suppose 0 = 4*a - i*a + 46. What is the units digit of a?
6
Let t(c) be the second derivative of c**4/12 + c**3/2 + 3*c**2/2 + c. Let y be t(-2). What is the units digit of 2 + (2 - (y - -1))?
2
Suppose -3*m = -t + 4, 4*m - 2*m - 32 = -2*t. What is the units digit of (-1)/4*t*-4?
3
Suppose -17 = -4*q - 1. Let p be 0 + -2 + (3 - 3). Let m = p + q. What is the units digit of m?
2
Let a = -6 + 12. Suppose -5*n + a*u + 60 = u, 14 = n - 2*u. Let k(i) = -i + 12. What is the units digit of k(n)?
2
Let h = 2 - -1. Let u be 0 + 2 + -2 + 0. Suppose 5*x - k - 10 = 0, u*k = 2*x - h*k + 9. What is the units digit of x?
3
Suppose -2*z = -3*z + 77. Let g = z - 45. What is the units digit of g?
2
Let v(o) = o**3 - o**2 - 17. Let s be v(0). Let k = s - -37. What is the tens digit of k?
2
Let d be (-5)/10*38*2. Let k = -24 - d. What is the units digit of k?
4
Suppose -2*f - 1 + 5 = 0. Let b(r) = r**2 - 4*r + 4. Let n be b(3). What is the tens digit of (-3)/(f - n) - -13?
1
Let v = -2 + 0. Let j be 3/v - (-2)/4. What is the units digit of ((-39)/3 + 2)*j?
1
Let q(z) = -z**3 - 11*z**2 - 12*z - 6. What is the tens digit of q(-10)?
1
Suppose -15*y + 1180 = -230. What is the tens digit of y?
9
Let a(x) = x**2 + x - 1. Suppose z + 2*i + 20 = -3*i, 0 = 4*i + 16. Let c be a(z). Let k = c - -4. What is the units digit of k?
3
What is the tens digit of 27/18*58/3?
2
Suppose 2*f + 4*v = 3 + 13, -f + v - 4 = 0. Suppose f = -2*b - 2*b. Suppose -6*o + 3*o + 33 = b. What is the units digit of o?
1
Suppose 2*a + 165 = 5*g, -3*g + 5*a - 2*a + 108 = 0. Let u = g + -20. What is the units digit of u?
1
Let n be (24/18)/(2/12). Let v = 0 + n. What is the units digit of v?
8
Suppose w = -o - o + 25, -59 = -4*o + w. What is the tens digit of 0 - (-3 + 2)*o?
1
Let j be 1*(2 - (1 + 2)). Let v = j + 6. What is the units digit of v?
5
Let z(q) be the second derivative of -q**3/6 - q**2/2 + 2*q. Let j(v) = v**2 - 7*v - 2. Let x(y) = j(y) - 6*z(y). What is the tens digit of x(3)?
1
Suppose 4*f + 3*u = -5, 0 = -5*f + f - 2*u - 6. Let k = 6 - f. What is the units digit of k?
8
Let f(k) = -k**3 + k + 3. Let t be f(0). Suppose 0 = t*h - h - 6. What is the units digit of h?
3
Let b(q) be the third derivative of q**6/120 + q**2. What is the units digit of b(2)?
8
Let j(r) be the second derivative of 2*r**3/3 - r**2/2 + 3*r. What is the units digit of j(1)?
3
What is the units digit of (-4)/(-40) - (-2558)/20?
8
Let a(j) = -j**3 + 3*j**2 + 3*j - 4. Let c be ((-7)/(-1) - 1)/2. Let s be a(c). Suppose -3*n - s = -4*n. What is the units digit of n?
5
Let v be 1/(-2) - (-76)/(-8). Let h be (-4)/v - 4/10. Suppose 2*w + 2*w - 64 = h. What is the tens digit of w?
1
Let g = 92 - 29. What is the units digit of g?
3
Let a(r) = -r**3 - 12*r**2 - 14*r + 16. What is the units digit of a(-11)?
9
Suppose 2*s - 5 = 7. What is the units digit of (3 - 26/s)*-12?
6
Let g(x) = -x + 13. Let f be g(8). Suppose -2*c = -3*o - 24, 5*o - 22 = -f*c + 3*o. Let k = 15 - c. What is the units digit of k?
9
Let v(c) = -2*c**2 + c + 2*c**2 - 1 + 2*c**2. Let h be 22/18 + (-2)/9. What is the units digit of v(h)?
2
Suppose -3*p - 15 = 2*k, 0*k - 4*p = k + 20. Suppose -u + 8 = -k*u. What is the units digit of u?
8
Suppose 4*c = -4*t + 336, -3*t - 2*t - 380 = -5*c. What is the units digit of c?
0
Let o be (10/3)/((-4)/(-6)). Suppose 0 = o*u - 41 - 4. Let t = 16 - u. What is the units digit of t?
7
Let o = -6 + 3. What is the tens digit of (o + -2 - -2)*-5?
1
Let l(z) = 2*z + 30. What is the units digit of l(18)?
6
Let t(i) = 4*i**3 - 3*i**2 - 7*i + 16. What is the units digit of t(4)?
6
Let t(n) = 7*n - 3. Let u be t(3). What is the tens digit of 261/u - 1/2?
1
Suppose -5*f + 3*d - 5 = 0, 4*f - 33 = -4*d - d. Suppose -79 = -4*p + 5*j, f*p - p = -2*j + 36. What is the tens digit of p?
2
Let s(r