d be -3 - 3*-2 - -2. Suppose -z + d*a - 3 + 25 = 0, a = -2*z + 11. What is the units digit of z?
7
Suppose -1 = g - 3. Suppose -k - 2*k - 18 = -3*t, 5*t = 3*k + 24. Let i = g - k. What is the units digit of i?
5
Suppose 5*i = 4*i + 16. What is the units digit of i?
6
Let v be (-1 - -5) + 0/(-1). Let o(z) = z**2 - 3*z + 2. What is the units digit of o(v)?
6
Suppose -84 = -3*x - 3*a - 2*a, 3*a - 9 = 0. Suppose -x = -5*s + 2. Suppose 20 = -5*c, -4*y - s*c = 6 + 2. What is the units digit of y?
3
Let f(m) be the third derivative of -5*m**4/24 - m**3/6 - m**2. Suppose 3*c = 4*k - 11, 1 = -c - 2*k + 4. What is the units digit of f(c)?
4
What is the units digit of (-168)/(-3)*(-36)/(-42)?
8
Let c be (5 - -148) + 2/(-2). Suppose 5*f = c + 38. What is the tens digit of f?
3
Suppose 0 = -l + 4*w + 2, -5*l - 1 + 11 = w. Suppose l*u + 6 = 3*u. What is the units digit of u?
6
Let v = -9 - -10. Let t(g) = 2*g**3 - g**2 + g. Let m be t(v). Suppose 0*w + 4*d = 4*w, m*w - 3*d = -4. What is the units digit of w?
4
Suppose -8*w + 42 = -5*w. What is the tens digit of w?
1
Let k(m) = 10 + 0 - 3 - m. Let g(d) = -d**3 - 3*d**2 - 3*d - 4. Let u be g(-3). What is the units digit of k(u)?
2
Let u = 13 + 43. Suppose -2*d + u = 2*d. What is the units digit of d?
4
Let n = -6 + 88. What is the tens digit of n?
8
Let d(n) be the second derivative of n**4/2 + n**3/6 - n**2/2 + 6*n. What is the units digit of d(2)?
5
Let y = 4 + -3. Let f be y/(2 + (-7)/4). Suppose -f*t = -9*t + 5. What is the units digit of t?
1
Let t be 3/12 + 15/4. Suppose -2*l + 17 - 7 = 0. Let i = l - t. What is the units digit of i?
1
Let h(v) = 2*v + 5. Let t be h(-5). Let c(z) = z**2 + z + 5. What is the units digit of c(t)?
5
Suppose 4*r - r - 12 = 0. Let x(d) = -d + 5. What is the units digit of x(r)?
1
Let s be (-5)/(-2) + (-3)/6. Suppose y + 1 = -s. What is the units digit of y/(0 + (-9)/21)?
7
Let u = 128 + -71. What is the units digit of u?
7
Suppose 0 = -5*x + 672 + 608. What is the hundreds digit of x?
2
Let m = 6 + -2. Suppose -4*h + 4*s - 11 = -51, -m*s - 20 = 0. Let p = 9 - h. What is the units digit of p?
4
Suppose 4*r + 3 = 3*r. Let c = 6 + r. What is the units digit of (-1)/(-2)*42/c?
7
Let u(p) be the first derivative of 7*p**2/2 + p + 2. Let m be u(1). Suppose -3*r + m*r = 45. What is the units digit of r?
9
Suppose -n = -6*n, 5*j = n + 40. What is the units digit of j?
8
Suppose -2*l = -2*n - 136, 5*l - 2*n - 336 = -n. What is the units digit of l?
7
Let d = 8 + -18. Let f = 6 - d. What is the tens digit of f?
1
Let y = 142 + -79. Let s = y - 32. Suppose 2*q - 5*n = 19 + s, -3*n = 12. What is the units digit of q?
5
Let q(y) = -y**3 - 4*y**2 + y + 7. Let r be q(-4). Let b(a) = a - 2. Let l be b(0). Let x = l + r. What is the units digit of x?
1
Let k = -25 + 35. Suppose -4*d = -4, -5*u + 41 = d + k. What is the units digit of u?
6
Suppose f - 3*f + 120 = 0. Suppose 0 = -5*g - 0*g + f. Suppose t = -t + g. What is the units digit of t?
6
Let m = 207 - 185. What is the units digit of m?
2
Suppose 0*j + 84 = 2*u + 5*j, 3*u = -5*j + 126. Let g = u + -30. Let p = g + -2. What is the tens digit of p?
1
Suppose 1 = t - 4. Let w be ((-2)/t)/((-5)/50). Suppose w*y = -0*y + 28. What is the units digit of y?
7
Suppose 0 = -3*x - 2*x + 85. Suppose -x = -2*f - 3. Suppose k + 0 - f = 0. What is the units digit of k?
7
Suppose 4*h - 2*h - 36 = 0. What is the tens digit of h?
1
Suppose 0*p - 42 = 3*p. What is the units digit of (-476)/(-49) + (-4)/p?
0
Let o = -3 + 6. Let k(h) = -h**3 + 3*h + 4 + 7*h**2 - 2*h**2 - 3*h**2. What is the units digit of k(o)?
4
Let m be (-1)/(-4) - (-35)/20. Suppose 6 = -m*v, 0 = -4*o - 3*v + 27. What is the units digit of o?
9
Let n(m) = -m. Let z be n(-4). Let s be z/7*(-7)/(-2). What is the units digit of ((3 - 2) + s)*3?
9
Let k be 2/(-11) - 420/(-11). Suppose 0 = 4*d - k - 50. What is the units digit of d?
2
Suppose 60 = 4*b + b. What is the units digit of b?
2
Let m be (-1 - (0 + 1)) + 2. What is the units digit of 6 - m - 12/6?
4
Suppose 0 = 17*b - 14*b - 180. Suppose 195 = 5*d - 5*w, d - b = -3*w - 5. What is the tens digit of d?
4
Suppose m + 2*m = -3. Let s = 1 + m. Suppose 2*g - 6 = s, -x + 2*g + 0 = 1. What is the units digit of x?
5
Suppose a + 5 = 2*a. Suppose -a*b + 9 = -6. Suppose 4*s = -d - 12, 0 = -b*d + 6*d + 4*s + 4. What is the units digit of d?
4
Let g(k) = -k**2 - 10*k + 3. Suppose -3*q + 0*f - 23 = 2*f, 80 = -5*q + 5*f. Let r be g(q). What is the units digit of 12*(r/(-6) + -1)?
4
Suppose -51 = -7*b + 6*b. What is the units digit of b?
1
Let i(w) = -w + 2. Let v be i(0). Suppose 2*l - 80 = -v*l. Suppose -3*o + l = 2*o + 5*c, -o - 5*c - 4 = 0. What is the units digit of o?
6
Let q(r) = r**3 + 1. Let m be q(-4). Let n be 3*6*2/9. What is the units digit of (n/(-3))/(6/m)?
4
Let z(w) = 5*w + 45. What is the units digit of z(8)?
5
Suppose 3*m - 18 = -3*l + 15, -l - 9 = 5*m. What is the tens digit of l?
1
Suppose -c + 218 + 94 = 3*d, -2*d + 208 = 2*c. What is the hundreds digit of d?
1
Let x(w) = 3*w**2 - 3. What is the units digit of x(-4)?
5
Suppose 3*l - 26 = -5*c + 2*l, -c = -2*l - 3. Let m(a) = a**3 - 4*a**2 - 3*a + 2. What is the tens digit of m(c)?
1
Suppose 0 = 4*q - 6*q - 40. What is the tens digit of (-572)/(-18) + q/(-90)?
3
Let t(p) = 5*p - 13. What is the units digit of t(8)?
7
Let p = 11 + -13. What is the units digit of p + (8 + -1 - 2)?
3
Suppose 0 = -2*a - 4*l + 244, a - 3*l + 120 = 2*a. Suppose -5*v = -8*v + a. What is the units digit of v?
2
Let u = -12 + 2. Let k be 66/u - 8/20. Let g = k + 14. What is the units digit of g?
7
Suppose -4*q - q + 20 = 0. Suppose q*t = -2*x + 46, x + 0*x + t = 19. What is the units digit of x?
5
Let c(y) = 91*y - 14. What is the units digit of c(3)?
9
Let h(f) = -17*f + 1. Let r = 9 - 10. What is the units digit of h(r)?
8
Let n(h) = -h**3 + 4*h**2. Suppose -3*o + 5 = 2*w, w - 4*o + 4 = 12. Let m be n(w). What is the units digit of (-1)/((-3)/15 - m)?
5
Let h = 82 - 48. Let c = 1 - -2. Suppose 14 = 5*a + 4*k, 2*k - h = -5*a + c*k. What is the units digit of a?
6
Suppose -3*p + 106 - 34 = 0. What is the tens digit of p?
2
Suppose -4*r = -3*q + r + 520, -346 = -2*q + 3*r. What is the tens digit of q?
7
Let i = 3 + -2. Let k be (i/(-2))/(2/40). Let y(v) = -v + 2. What is the tens digit of y(k)?
1
What is the units digit of (0 - 44)/((-6)/12*2)?
4
Suppose -2*j = -242 + 232. What is the units digit of j?
5
Suppose -5*x = 3*c - x - 172, -c + 61 = 5*x. What is the tens digit of c?
5
Let f(h) = -h**2 - 5*h - 6. Let z be f(-4). Let r be ((-4)/(-1))/2 - z. Suppose r + 8 = 4*t. What is the units digit of t?
3
Let a(i) = -i**2 - 8*i + 13. What is the tens digit of a(-6)?
2
Suppose 8*r + 24 - 288 = 0. What is the units digit of r?
3
Suppose -5*u + 71 = -59. What is the units digit of u?
6
Let i(o) = 2*o - 4. Let u be i(3). Suppose 0*g + u*g - 32 = 0. Suppose r - g = -3*r. What is the units digit of r?
4
Suppose 0 = -3*t - 18 - 6. What is the tens digit of 2/t + (-146)/(-8)?
1
Suppose 0 = u + 3*d - 52 - 16, 0 = -4*u - 2*d + 222. Suppose u = 4*m - 3. What is the units digit of m?
4
Let u(p) = -p - 26. Let y be u(-12). Let r = -2 - y. Suppose -l - x + 18 = 0, 8*x - 3*x + r = l. What is the units digit of l?
7
Suppose 2 = 2*j + k, 7*j - 5*k - 20 = 2*j. Suppose 0 = -3*t - 12, 3*x - 2*t + 10 = -9. What is the units digit of (-3)/j*6/x?
1
Let n(d) = 15*d - 15. Let h(p) = -p + 1. Let s(c) = -33*h(c) - 2*n(c). What is the tens digit of s(5)?
1
Suppose -d + 5*s = 2*d - 14, 0 = -5*d + 5*s + 10. What is the units digit of 6/12 - d/4?
1
Let l be 24/(-10)*15/(-6). Let o(a) = -2*a**2 + 13*a + 8. What is the tens digit of o(l)?
1
Suppose -2*k + 3*s = -3*k - 22, 0 = -5*k - 4*s - 55. What is the tens digit of (-26)/4*(5 + k)?
1
Suppose 2*p + 3*x = 191, 0 = 5*p - 4*x - 448 - 64. What is the hundreds digit of p?
1
Let z = 291 - 135. What is the tens digit of z?
5
Let p(j) = 8 - 11*j**2 + 0 + 2*j**3 - 6*j - j**3 - 6*j. What is the units digit of p(12)?
8
Suppose 11 = 4*i - 17. Suppose 14 = 2*k + 5*y, k - i = -0*k - y. What is the units digit of k?
7
Suppose 5*i - 18 = r, -14 = -5*r - 4*i + 3*i. Suppose -41 = -4*y + u, -4*y + r*u = -34 - 12. What is the units digit of y?
9
Suppose -2*c - 2 = -5*c + 4*g, 0 = 5*c + 2*g + 14. What is t