4*n + 3*f, 0 = -3*f + f + 8. What is the units digit of n?
5
Let x(t) = -66*t - 1. Let m be x(1). Let q = 150 + m. What is the tens digit of q?
8
Let b(m) = 349*m - 6. What is the hundreds digit of b(1)?
3
What is the units digit of (-32)/56 + 6451/7?
1
Suppose 3*k - 113 = 127. Suppose -2*f + 2*q - k = 0, -3*f = -2*q + 128 - 5. Let p = -21 - f. What is the units digit of p?
2
Let y(c) = -3*c - 1. Let f(n) = n**3 + 3*n**2 + 2*n - 2. Let v be f(-2). Let o be y(v). Suppose -o*r + 94 = -11. What is the units digit of r?
1
Let v(l) = -l**3 + 17*l**2 - 30*l + 8. Let c be v(15). Suppose 726 = c*n - 2*n. What is the tens digit of n?
2
What is the units digit of (-4)/(-22) - 6992/(-22) - -4?
2
Let q(t) = t**2 - 16*t + 20. Let w be q(16). Suppose b = 5*b - s - 52, -2*s = -b + w. Suppose 4*n - 2*n - b = v, 0 = n + 5*v + 16. What is the units digit of n?
4
Let i(p) = 17*p + 1. Let z be i(1). Suppose -6*j + 3*f = -j + 10, 4*f - z = 2*j. What is the units digit of 0 - j*24/(-3)?
8
Let q(d) be the first derivative of -d**4/4 + 2*d**3 - 2*d**2 - 3*d - 1. Suppose -w - 8 = -3*r, r - 1 + 17 = 5*w. What is the units digit of q(r)?
3
Suppose 2*l + g + 381 = 0, -6*l - 396 = -4*l - 4*g. Let w = l - -281. What is the units digit of w?
9
Let a(z) = -z**3 + 3*z**2 + z + 1. Let u be a(3). Suppose 2*k + 0*k = u. Suppose 20 = 4*w, -5*j = k*w - w - 50. What is the units digit of j?
9
Suppose 6 = -35*i + 36*i. Suppose i*b - 536 = 2*b. What is the units digit of b?
4
What is the hundreds digit of ((-7)/((-140)/1485))/(9/24)?
1
Suppose -7*f + 5 = -2*f. Let q(o) = 55*o - 1. What is the units digit of q(f)?
4
Suppose 2*b = -4, 0*u + 2*u + 4 = -2*b. Suppose q - 4*d - 20 = u, -2*d = -d + 1. What is the units digit of (42/(-8))/((-6)/q)?
4
Suppose 6*u - 4*u + 6 = 0. What is the tens digit of -1 + 18 + (-3)/(u/1)?
1
Suppose -4*z - 4*u = 0, 3*z + u - 5*u = 0. Suppose 0 = -b + t - z - 1, -4*t + 4 = b. Suppose b = -5*o - 61 + 186. What is the units digit of o?
5
What is the hundreds digit of 2000/10 + (1 - 4)?
1
Let v(z) = 36*z**3 + 11*z**2 - 11*z - 1. What is the thousands digit of v(4)?
2
What is the hundreds digit of 5/25 - 9232/(-40)?
2
Suppose 5*r + 2*k - 63 = 0, -4*r - 4*k + 60 = -0*r. Suppose 4*w = 1 + r. Suppose -3 = -w*x + 4*q + 3, q = x - 2. What is the units digit of x?
2
Let i be (70/14)/((-1)/(-8)). Suppose -5*t - 5*g = -i - 20, 0 = -2*t + 4*g. What is the units digit of t?
8
Let g(v) = 12*v - 3. Let b be (-2 + (-2)/1)/(-1). What is the tens digit of g(b)?
4
Suppose -2*q - 3*v = -23, 2*q - 2*v = 6*q - 50. What is the tens digit of q?
1
Let u(c) = 5*c**2 + 13*c + 15. Let q be u(-8). Let h = q + -160. What is the tens digit of h?
7
Suppose 17*s = 310 + 2172. What is the hundreds digit of s?
1
Let f = -8 + 8. Suppose f = -5*y + 8*y - 33. Let v(w) = -w**3 + 12*w**2 - 7*w - 3. What is the tens digit of v(y)?
4
Let o(u) = 12*u**2 - 5*u - 5. Let i(h) be the third derivative of h**4/24 - 17*h**3/6 - 4*h**2. Let d be i(15). What is the units digit of o(d)?
3
Let z be ((-32)/40)/(4/10). What is the tens digit of 2 - (z + -58 + -2)?
6
Suppose 0 = 3*y - 6*y + 285. Suppose 0 = -2*c + 43 + y. What is the units digit of c?
9
Suppose 0 = -5*i - 2*x + 19, -2*i + 5*x - 2 - 2 = 0. Suppose i*d - 148 = -d. What is the units digit of d?
7
Suppose p = -3*g + 872, 0 = -4*g - 0*g - p + 1161. What is the tens digit of g?
8
Let r = -194 + 1022. What is the units digit of r?
8
Let q = -2588 + 5845. What is the tens digit of q?
5
Suppose 4*c - 5*s = 28, -s = 4 - 0. Suppose -5*y - 3*a - 33 = -y, 0 = c*y - 3*a + 3. What is the tens digit of ((-12)/10)/(y/75)?
1
Let u = 2369 + -929. What is the thousands digit of u?
1
Suppose 5*h + 633 = 138. Let g = 101 + h. What is the units digit of g?
2
Let c(r) = 4*r**2 + 2*r + 33. What is the tens digit of c(-16)?
2
Let p(u) = -4*u**3 + 3*u**2 + 2*u - 26. Let r be p(-5). Let b = r - 285. What is the tens digit of b?
5
Let o = 323 + 104. What is the units digit of o?
7
Let t(k) = 31*k - 13 + 28 - 17. What is the hundreds digit of t(4)?
1
Let x(p) = -p**3 - 11*p**2 - 11*p - 5. Let g be x(-10). Suppose -g*r = -4*a - 35, 2 + 0 = 2*r - 4*a. What is the units digit of r?
1
Let p be -1 + -1 + 1377/3. Suppose 2*h - 165 = p. What is the units digit of h?
1
Suppose u + 0*u = 14. Let b = -11 + u. Suppose 2*c - b*k - 11 - 4 = 0, -12 = -5*c - k. What is the units digit of c?
3
Let j = 16 - 10. Suppose -2 + j = -4*t. What is the units digit of 9/9*(2 - t)?
3
Suppose 0 = -2*u - 3*x + 12, -2*u - x + 12 = 4*x. Suppose 0*s - u = -3*s. Suppose 0 = -2*v - s*a + 42, 5*a = 4*v - 3*v - 27. What is the tens digit of v?
2
Let y be (14 + 4)*2/(-4). Let c be -1 + (y/(-3) - 0). Suppose -g - d + 14 = 0, -5*g + 90 = c*d - 7*d. What is the units digit of g?
6
Let n = 1626 - 1025. What is the hundreds digit of n?
6
Let x(y) = 0 - 4*y**3 + 3*y**3 - 2*y - 2 + 0*y - 6*y**2. What is the units digit of x(-6)?
0
Let o(g) = -529*g - 3. What is the hundreds digit of o(-5)?
6
Let a(z) = 11*z + 10. Let d(m) = 10*m + 10. Let y(n) = 5*a(n) - 6*d(n). What is the units digit of y(-11)?
5
Suppose -f + 4 = f. Suppose 0 = -f*z - 0*z + 22. Suppose 4*d - 31 = -3*o - z, 0 = 2*d - o. What is the units digit of d?
2
Let x(g) = g**2 + 3*g - 4. Let w be x(-3). What is the tens digit of 75 + w/(-20)*0?
7
What is the hundreds digit of (2 + 13)/3 - 1 - -194?
1
Suppose x = -3*a + 4*x + 51, 40 = 4*a + 3*x. Let c = -88 + a. Let j = c + 105. What is the units digit of j?
0
Let t(v) = -33*v - 11. Let d(w) = 7*w + 2. Let y(k) = 33*d(k) + 6*t(k). Suppose 2 = -c + 3. What is the units digit of y(c)?
3
Let k be ((-9)/2)/((-12)/16). Let d be (2/(-4))/(k/(-48)). What is the units digit of ((-80)/(-24))/(d/6)?
5
Suppose t = 5*b + 26 + 74, 3*t = -3*b + 318. What is the tens digit of t?
0
Suppose 0 = 4*k - 3*v - 78, -3*k + 80 = k - 4*v. Let a = -5 + k. Let s = a + -8. What is the units digit of s?
5
Let f = 68 - 68. Suppose f = 5*o - 313 - 52. What is the tens digit of o?
7
Let p be (-282)/(-42) + 2/7. Suppose 3*b - i = -5, 4*b + 3*i + p + 4 = 0. What is the units digit of -1*(-2 + 4)*b?
4
Let r = -2022 - -3228. What is the tens digit of r?
0
Suppose -6*x = x - 1260. What is the hundreds digit of x?
1
Suppose 2*c + 4*n = -20, 2*c - 5*c - 5*n = 26. What is the units digit of 87/6*((-48)/c)/3?
6
Let w(k) = -k**2 + 11*k + 4. Let p be w(10). Let c be p + 6/(-3) - 1. Let u = 18 - c. What is the units digit of u?
7
Let u(y) = -y**3 - 11*y**2. Let d be u(-11). Suppose d*f + 5*b = 3*f - 395, 3*b - 387 = -3*f. What is the hundreds digit of f?
1
Suppose -2865 = -18*k + 13*k. What is the units digit of k?
3
What is the tens digit of ((-2)/6)/(7/(-1785))?
8
Let t = -135 - -43. Let o = 132 + t. What is the units digit of o?
0
Let w(m) = -5*m**3 + 6*m**2 + 7*m - 13. Let s(i) = -i**3 - 1. Let j(c) = -4*s(c) + w(c). Let v = -17 - -21. What is the units digit of j(v)?
1
Let d(s) = -11*s**2 + 21*s + 105. Let a(y) = -3*y**2 + 5*y + 26. Let p(x) = -9*a(x) + 2*d(x). What is the hundreds digit of p(-5)?
1
Suppose 9*n + 1586 - 8255 = 0. What is the units digit of n?
1
Suppose 2*f + 5*j = 747 + 61, 4*f = 4*j + 1644. What is the tens digit of f?
0
Suppose -2*x + 2 - 6 = 2*n, 18 = 5*x - 2*n. Suppose -46 = -x*b + 110. What is the units digit of b?
8
Let v(z) be the first derivative of z**4/4 - 2*z**3 - 7*z**2/2 - 17*z + 29. What is the units digit of v(8)?
5
Let m(q) be the second derivative of q**4/24 - q**3/6 - q**2/2 - 4*q. Let z(l) be the first derivative of m(l). What is the units digit of z(8)?
7
Suppose -x + 0*x + 5 = 0. Suppose -2*f - 2*a - 73 = -x*f, f - 27 = 2*a. Let b = f + -14. What is the units digit of b?
9
Let l be -2*((-117)/2)/(-9). Let n(a) = a**2 + 7*a - 18. What is the tens digit of n(l)?
6
Let c(q) = q**3 + 6*q**2 - 16*q + 8. Let n be c(-8). Suppose 3*j - 8 = -2*a + 45, -2*a = -n. What is the units digit of j?
5
Let a be (3 + -2 - 0) + (-4 - -8). Suppose 4*y + 25 - 9 = 0, 416 = 4*b - a*y. What is the units digit of b?
9
Suppose -3*z = 1 + 5. Let w(d) = 32*d**2 - 4. What is the hundreds digit of w(z)?
1
Suppose -f + 19 = -2*x - 6*f, -3*f - 27 = -4*x. Let m(w) = -w + 6. Let d be m(x). Suppose 4*a - 560 = -d*a. What is the units digit of a?
0
Let j be (-1)/4 + (-262)/8. Let v(d) = -d**2 + 33*d - 183. Let y be v(26). Let n = y - j. What is 