a be ((-3)/(-2))/(6/20). Let c be (-1 + (-2 - -1))*-2. Suppose -a = -c*v + 23. What is the units digit of v?
7
Suppose -9*h = -4*h - 100. Suppose -b + 5*f = 8, -h = 5*f - 5. What is the units digit of b/(-2) - 1/(-2)?
2
Suppose 0 = -2*z - 3*z + 4*l - 38, 4*l = 3*z + 26. Let w be (z/(-10))/(4/20). Suppose 4 = 4*i + 3*x, -32 = w*i - 6*i + 5*x. What is the units digit of i?
4
Let a = -207 - -298. What is the units digit of a?
1
Suppose 3*k = 5*q + 7*k - 873, 2*q - 366 = 4*k. What is the hundreds digit of q?
1
Let g be 4/((-4)/(-27)) + -1. Let f = -16 + g. What is the units digit of f?
0
Let b = -15 - -15. Suppose o = 0, b*o + 3*o - 42 = -2*u. What is the tens digit of u?
2
Suppose 0*d - 4*d = 5*q - 6, 4*d = -q + 14. Let l be (3/q)/(21/(-14)). What is the units digit of -5 + 3 + 5/l?
3
Let o(l) be the second derivative of l**5/20 + l**3/3 + 23*l**2 + 11*l. What is the tens digit of o(0)?
4
Suppose 327 = 4*m + 3*x, m - 82 = -3*x + 2*x. What is the units digit of ((-5)/(-3))/(3/m)?
5
Let g = -221 + 127. What is the units digit of g/(-14) + 2/7?
7
Let o = 259 + -44. What is the tens digit of o?
1
Let r = 29 - 32. What is the tens digit of (5/r)/(4/(-72))?
3
Let a be 58/8 - 6/(-8). Let m = 20 - a. What is the units digit of m?
2
What is the units digit of -18*(8/4)/(-4)?
9
Let h(x) = x**2 + 3*x + 22. What is the hundreds digit of h(-12)?
1
Suppose 16*s - 11*s - 285 = 0. What is the tens digit of s?
5
Let n be (0 - (-10 - 0))*-1. Let t = 1 - n. What is the tens digit of t?
1
Suppose 0 = 2*x + d - 4 - 9, 4*x + d = 23. What is the units digit of x?
5
Suppose 4*b - 163 = 5*a, -2*b + 2*a + 83 = -a. Let r = -24 + b. What is the units digit of r?
3
Let c(n) = -2 - n - 3 + 0 + 3. Let j(v) = -1. Let g(z) = -c(z) + 2*j(z). What is the units digit of g(3)?
3
Suppose -2*y + 8 = -3*y. Let w(c) be the second derivative of c**5/20 + 3*c**4/4 + 7*c**3/6 + c**2/2 - 2*c. What is the units digit of w(y)?
9
Suppose 5*s - 17 = -2*z, 2*z + 16 = 4*s + 3*z. What is the units digit of s?
5
Suppose 0 = 4*c - 7*p + 2*p + 3, 0 = -c + 5*p - 12. Suppose 0 = c*o - 74 + 17. What is the tens digit of o?
1
Let g(f) = -2*f - 4 + 0*f - 3 + 2. Let i be g(-4). What is the units digit of (15/(-9) + 2)*i?
1
Suppose -11 = 2*u + 13. Let y(z) = -z - 5. Let v(r) = -r - 5. Let l(t) = -2*v(t) + 3*y(t). What is the units digit of l(u)?
7
Suppose -3*k = 4*j - 165, -k + 5*j = -3*k + 110. Suppose -2*s - 3*s + k = 0. What is the units digit of s?
1
Let t = -20 + 11. Suppose -3*p + 60 = -18. Let l = t + p. What is the tens digit of l?
1
Let h be 2/2 + (-2 - -1). Suppose h = -2*y, -7 = 5*m - 2*y + 13. What is the units digit of m/18 - 11/(-9)?
1
Let r(n) = -16*n**2 - n + 1. Let k be r(1). Let s = k - 6. What is the tens digit of s/(-3)*6/4?
1
Let w be (-11)/(-44) - 283/(-4). Let m = -50 + w. What is the tens digit of m?
2
Let q = -24 + 35. What is the tens digit of q?
1
Suppose 5 = s - 3*g, 3*s - 2*g + g - 39 = 0. What is the units digit of s?
4
Suppose 4*z + 508 = 4*v, -4*z + 204 = 2*v - 26. What is the hundreds digit of v?
1
Suppose 2*k - 6*k = 2*c - 30, 0 = -4*c + k + 87. What is the units digit of c?
1
Let y(t) = t - 2. Let j be y(6). Suppose 3*x = 2*v + j*x - 6, -2*v + 4*x + 16 = 0. What is the units digit of v?
4
Suppose g = 2*g - 51. What is the units digit of g?
1
Suppose 5*x + 24 = 4*b, -3*b + 5*b + 10 = -3*x. Suppose 1 = h - b. Suppose -c - 3*a + 2*a + h = 0, c + 3*a = -4. What is the units digit of c?
5
Let m = 5 - 5. Suppose m = -2*f + 5 + 1. Suppose -3*y + k + 0*k + 33 = 0, -33 = -3*y - f*k. What is the tens digit of y?
1
Suppose h - 3 = 0, 6*j - j + h - 23 = 0. Suppose 0 = -k - f + j*f + 3, -3*k + 29 = -5*f. What is the tens digit of k?
1
Let f(v) = -v - 3. Suppose 21 = -2*s - s. Let u be f(s). Let j(d) = -d**2 + 4*d + 2. What is the units digit of j(u)?
2
Suppose 2*v + v - 5*d - 15 = 0, -3*d - 20 = -4*v. What is the units digit of v?
5
Suppose 0 = -3*x + 2 + 4. Suppose -b - b + x = 0. What is the units digit of b?
1
Let w = 13 - 8. Suppose -u - 171 = -3*s - 49, u = -w*s + 198. What is the units digit of s?
0
Let h = 3 - 2. Let p be (0*1/(-2))/h. Suppose p = -3*f + 4 - 1. What is the units digit of f?
1
Let i = -2 + -1. Let r = i - 3. Let v = 4 - r. What is the units digit of v?
0
Suppose 12 = o + 3*o. Suppose -o*q + 6*j = 4*j - 41, 62 = 4*q + j. What is the units digit of q?
5
Let q(j) = -5*j**3 + j. Let f be q(1). What is the units digit of 1/((-9)/f - 2)?
4
Let p(v) = v**2 - 5*v + 1. Let m be p(4). Let b(x) = 3*x**2 + 3*x + 4. What is the units digit of b(m)?
2
Let u be (-4)/(-2)*43/2. Let a = -18 + u. Suppose -4*m - m = -a. What is the units digit of m?
5
Let r be (-3 - -2)/((-2)/22). Suppose -3*p + r = -2*v + 3*v, 45 = 3*v + 3*p. What is the units digit of v?
7
Suppose 4*b - 44 - 8 = 0. Suppose 0 = -3*u + 4*n + 59, -u + b = n - 2. What is the units digit of u?
7
Let h(m) = m**2 - 6*m + 5. Let u be h(7). Suppose 2*b + 6 = o, 0 = -o + 4*o + 4*b + u. Suppose 2*c - 2*r + 9 = 25, 5*c + 3*r = o. What is the units digit of c?
3
What is the hundreds digit of (-9)/(((-8)/(-30))/(-4))?
1
Let c(i) = i**2 - i - 3. Let n be c(3). Suppose -2*m + 7 = n. Suppose -m*v = -3*v + 5*j + 30, 2*v = -2*j + 12. What is the units digit of v?
0
Suppose 2*a + 0 = 4*o - 4, -14 = -4*o - 3*a. Suppose o + 4 = 2*b. What is the units digit of ((-4)/b + 1)*-9?
3
Let z(j) = j**3 + 4*j**2 + 3*j + 4. Let p be z(-3). Let l = p - -7. What is the units digit of l?
1
Let z(o) = 3*o - 6. Let v be (-375)/(-55) - 6/(-33). What is the tens digit of z(v)?
1
Suppose -430 = -4*i + 2*t, -4*t + 425 = 4*i - t. What is the tens digit of i?
0
Let w(i) be the first derivative of i**3/3 - 9*i**2/2 + 10*i - 2. What is the tens digit of w(9)?
1
Let x(v) = -v**3 + v. Let u be x(-4). Suppose u = 3*w - 0*w. What is the units digit of (-4)/w + 72/10?
7
Let b = 24 - 18. What is the units digit of b?
6
Suppose 2*n + 53 - 255 = 0. What is the tens digit of n?
0
Suppose -3*p + 9 + 0 = 0. Suppose -64 = -g - p*g. What is the units digit of g?
6
Suppose -l = -4*l. Suppose l = y - 4 - 1. Suppose -2 + 37 = y*c. What is the units digit of c?
7
Suppose 4*w = 3*j + 6*w, 4*w + 6 = -3*j. Suppose -o = -j*o + 7. Let s = o + 1. What is the units digit of s?
8
Let y(t) = 9*t + 16. Let s(c) = 14*c + 24. Let q(r) = 5*s(r) - 8*y(r). What is the units digit of q(-8)?
8
Suppose 0*r = 5*r - 25. Let j = r - 0. Suppose o = 2*m - o - 24, -j*o = m - 42. What is the units digit of m?
7
Let b(d) = -d**3 - d**2. Suppose 2*t + 3*t = -5. Let p be b(t). Let q(s) = -s + 13. What is the units digit of q(p)?
3
Suppose 3*u = -2*u - 5. Let j be (u + 1)*(-3 - -2). Suppose -6 = -3*i - j. What is the units digit of i?
2
Let t = -190 + 300. What is the units digit of t?
0
Let u = 65 - -10. What is the units digit of u?
5
Let a be ((-3)/(-2))/(9/6). Let y(d) be the third derivative of d**6/20 - d**5/60 - d**4/24 + d**3/6 - d**2. What is the units digit of y(a)?
5
Let b = -8 + 8. Let w(k) = -k + 8. What is the units digit of w(b)?
8
Let v = -220 + 314. What is the units digit of v?
4
Let l(v) = v**3 + 6*v**2 + 6*v + 2. Let d be l(-5). Let k be (2/1)/(-1 - d). Let j(i) = 20*i**3 - i**2 + 2*i - 1. What is the tens digit of j(k)?
2
Let o(l) = 41*l + 9. What is the hundreds digit of o(6)?
2
Let z be -3*(2 - 5/3). Let x = z + 4. What is the units digit of x?
3
Let j = -25 + 8. Let i = 54 + j. What is the units digit of i?
7
Suppose -2*s + 4*o - 10 = 0, 2*s - 5*o + 6 = -9. Suppose 0 = -5*n + s + 15. Suppose -5*i - 8 = -n*z - i, 0 = -z - 5*i + 8. What is the units digit of z?
3
Let g = -35 - -65. What is the units digit of g?
0
Suppose u - 3*u - 5*w = -35, -u + 16 = 4*w. What is the tens digit of u?
2
Let h(v) = v**3 + 5*v**2 - 6*v + 14. What is the units digit of h(4)?
4
Let h(x) = -x**3 + 3*x**2 + 1. Let o be h(4). What is the units digit of (1 + 2)*(-5)/o?
1
Let d(m) = -m**3 - 3*m + m - 5 + 4*m + 5*m**2. What is the units digit of d(4)?
9
Let i(d) = 3*d - 8. What is the units digit of i(6)?
0
Let f = 101 + -55. What is the units digit of f?
6
Let p = -43 + 85. What is the tens digit of p?
4
Let s = -10 + 15. Let w be 23/s + 6/15. Suppose j + 0*j = w. What is the units digit of j?
5
Let s(w) = -w**2 + 6*w - 2. Let b(r) = r + 11. Let j be b(-8). What is the units digit of s(j)?
7
Let x = 1 