et f = o + -3. What is the units digit of f?
1
Suppose -2*x + 14 = -2*a, -5*x + 22 = -4*x - 4*a. Suppose -w - z + 0*z = -4, 0 = x*z - 4. Suppose 0 = 3*k - w*k - 15. What is the units digit of k?
5
Suppose 2*j - 15 = j. What is the tens digit of j?
1
Let d(g) be the first derivative of g**3/3 + 4*g - 3. Let p be d(-6). Suppose 0 = -5*a + p + 5. What is the units digit of a?
9
Let i be 5/(-20) - (-13)/4. Let a = -8 + i. Let f = 12 - a. What is the units digit of f?
7
Suppose -12 = -2*m - n, 0 = 2*n - 4. Suppose -k + m*t - 61 = 0, 0 = 5*k + 2*t + t + 221. What is the units digit of 1/(-3) + k/(-3)?
5
Suppose -2*j + 6*j - 3*f = 20, -4*j - 2*f = 0. Suppose -23 = -j*g - 5. What is the units digit of g?
9
Let l = -67 + 100. What is the units digit of l?
3
What is the tens digit of (4/(-3))/(24/(-1242))?
6
Let z = -31 + 10. Let p be (-3)/(-1 - 20/z). Suppose 0*u - 5*u = 3*c - p, -3*u - 4*c + 29 = 0. What is the units digit of u?
5
Suppose 5*h - 1248 = 2*a, 2*h = -4*a + 9*a + 516. What is the units digit of h?
8
Let g = 26 - 17. Suppose -5*d = -g*d. Suppose 0 = -l + 2 - d. What is the units digit of l?
2
Suppose -553 = -3*w - 5*s, -5*w = -8*w - s + 569. What is the tens digit of w?
9
What is the units digit of 390/21 + (-6)/(-14)?
9
Suppose 4*g = 3*r + 6 - 75, -4*g - 96 = -4*r. What is the units digit of r?
7
Let b(m) = 19*m**2 + 3*m - 5. What is the tens digit of b(-3)?
5
Let t(d) = 14*d**2 - d + 1. What is the units digit of t(2)?
5
Suppose 0 = 5*p - p. Let g(l) = 4*l**2 + p*l**2 + 4*l - 3 - l**3 - 1. What is the tens digit of g(4)?
1
Let b = -22 + 4. Let c be 18/(-4)*(-24)/b. What is the units digit of c/(-4) + (-2)/(-4)?
2
Suppose -4*m - 168 = -4*c, -128 = -4*c + c + 4*m. What is the units digit of c?
0
Suppose 30 = 4*o - 74. What is the tens digit of o?
2
Let w = 38 + -20. What is the units digit of w?
8
Let t(w) = -w**2 + 2*w + 1. Let y be t(3). Let q be y/(-4) - (-33)/6. What is the tens digit of (-2)/(-3) + 74/q?
1
Suppose -2 = -5*j + 4*y, -j - 3*y = j - 10. Suppose -4*g + j*a = -144, 0 = 4*g - 4*a + a - 148. What is the tens digit of g?
3
Suppose y = 6*y - 10. Suppose -30 - y = -2*j. Suppose -4*q + 4 = j, 0 = -2*m - q + 13. What is the units digit of m?
8
Suppose -5*y = -2*y - b - 13, 5*y - 23 = 2*b. Suppose 0 = 2*g + y*a - 40, 5*a + 45 = 3*g + 2*a. What is the units digit of g?
7
Let v = 113 - 21. What is the tens digit of v?
9
Suppose 3*q = -q + 28. What is the units digit of q?
7
Suppose -4*v = -14*v + 2320. What is the units digit of v?
2
Let s be 2 - (0 + (-1 - 0)). Suppose 0 = -5*v + 2*n + 46, 1 = -v - s*n - 0. What is the units digit of v/6*(-3)/(-2)?
2
Suppose 4*m = -4*w + 2*w + 16, 23 = 3*m - 4*w. Suppose 0 = -2*f - m*g + 52, -4*f - 4*g = g - 94. What is the units digit of f?
1
Let r(u) be the second derivative of -4*u**3/3 - 3*u**2 + 3*u. Let m be r(-4). Let h = m + -17. What is the units digit of h?
9
Let a be 2 + -1 - (-3 - -1). Let g = -11 + a. Let c = 2 - g. What is the tens digit of c?
1
Let j(n) = -n**3 - 19*n**2 + 8*n - 39. What is the tens digit of j(-20)?
0
Let j(h) = -h**2 - h. Let l = 2 - 4. Let k be j(l). Let n = k + 14. What is the units digit of n?
2
Let p be (-4)/(-1*(2 - 1)). Suppose -p*u + 15 = u. Suppose k + 0*k = u. What is the units digit of k?
3
Let q = -80 + 221. What is the units digit of q?
1
Suppose 364 = 7*l - 147. What is the tens digit of l?
7
Let d(c) = c**3 - 7*c**2 - 4*c - 5. Let m be d(7). What is the units digit of m/(-6)*6/3?
1
What is the units digit of (8/5)/(1/10)?
6
Let q = 46 + 235. What is the hundreds digit of q?
2
Suppose 5*i - 191 + 36 = 0. Let w = i - 15. Let q = w + -3. What is the units digit of q?
3
Let b(h) = h**3 + 4*h**2 - 5*h - 1. Let x be b(-5). Let c be x/(1 - (-20)/(-22)). What is the units digit of (-97)/c - 8/(-44)?
9
What is the units digit of 43/(3/(3 + 0))?
3
Suppose 0 = -z - 7*z + 408. What is the units digit of z?
1
Let c be 12/(-18)*33/2. Let w = c - -36. What is the tens digit of w?
2
Let l(p) = 25*p - 2. Let m be l(2). Suppose z + 3*z - 3*d = m, -z = -4*d - 12. What is the tens digit of z?
1
What is the units digit of 37 + (-9)/3 + 1?
5
Suppose 2*s + 0*s - 4 = -4*q, 0 = s + 3*q - 6. What is the units digit of (-3*(-4)/s)/(-1)?
2
Suppose -462 = -3*d - 0*d. What is the hundreds digit of d?
1
Suppose -17*w + 6*w = -1892. What is the units digit of w?
2
Suppose 3*p + 0*j = j + 11, -4*p + 36 = 4*j. Suppose s + 0*s - y = -1, -1 = -3*s + p*y. What is the units digit of 8 + (s - 6/(-3))?
7
Suppose -87 = -3*c + 33. What is the tens digit of c?
4
Let p = 10 - 17. Let g be 4/10*(p + 2). What is the units digit of (4/g)/(2/(-3))?
3
Suppose r - 15 = -4*r. Suppose -42 = -7*d + 2*d - 3*y, 0 = -2*d + r*y. What is the units digit of d?
6
Suppose -51 = -6*b + 3*b. Suppose 2*i + 3 + 7 = -4*v, -b = -5*i + 4*v. Suppose 4*a = -2*g + 16, 3*a + 0*a + i = 5*g. What is the units digit of g?
2
Let h(y) = -y**3 + y**2 - y - 4. Let k be h(0). What is the units digit of (62/k)/(9/(-18))?
1
Let w = -134 - -240. What is the tens digit of w?
0
Let s(i) = 3*i + 0 - 2*i - 3*i - 13. Let h be s(10). Let y = h + 49. What is the units digit of y?
6
Let w(x) = -x - 21. Let d be w(0). Let r be (-48)/d + (-2)/7. Suppose r*s - 4*i = 4, -i + 8 = 3*i. What is the units digit of s?
6
Let l = -7 - -5. Let j = l - -6. Let y = j - -3. What is the units digit of y?
7
Let d be 30/4*24/9. Let c be d*6/(-28)*-7. Suppose -50 - c = -5*j. What is the tens digit of j?
1
Let c = 133 + -70. What is the tens digit of c?
6
Suppose 5*o - 5*c - 70 = 0, 3*o + 0*c - 17 = -2*c. Suppose -5*u = -2*u - o. What is the units digit of u?
3
Let r be (2 - -1) + (-4)/4. Let g(j) = 6*j - 1. What is the tens digit of g(r)?
1
Let t be 22/33 + 76/(-6). What is the tens digit of 4/(t/(-63)) + -2?
1
Suppose 0 = 3*r, c + 5*r + 345 = 2*c. What is the tens digit of c?
4
Suppose 0*w + 3*w + 5*l - 30 = 0, 2*l - 16 = -2*w. Suppose -3*i - 11 = w*v, 38 = -4*i - 0*i - 2*v. Let h(j) = -2*j - 8. What is the units digit of h(i)?
6
Let f(u) = 3*u + 57. What is the units digit of f(6)?
5
Suppose -2*u + 10 = -u + 5*x, -6 = 3*u - 3*x. Suppose -4*v = -20, u = -4*f + 5*v + 8 + 7. What is the units digit of f?
0
Let d(z) = -z**2 - 22*z - 40. What is the tens digit of d(-16)?
5
Suppose i + 2*i = 6. Suppose -w = -i*w + 2. What is the units digit of w?
2
Let w(u) = u**3 - 10*u**2 + 12*u - 10. What is the units digit of w(9)?
7
Let b(j) = j**3 - 6*j**2 - 7*j + 10. Let d be -7*(-1 - -2)*-1. Let y be b(d). Let n = -7 + y. What is the units digit of n?
3
Let u = -2 + 6. Let i = u + 3. What is the units digit of i?
7
Suppose -u + 78 = u - v, 2*u = -2*v + 72. What is the tens digit of u?
3
Let o be 2*((-2)/(-4) + 1). Let x(h) = 3*h**2 + 3*h**3 - 2*h - 2*h**3 - 2 - 5*h**2. What is the units digit of x(o)?
1
Let q = -5 - -8. Let f(u) be the second derivative of u**5/20 - u**4/6 - 3*u**2/2 - 10*u. What is the units digit of f(q)?
6
Suppose 3*j = -5*q + 30, -5*q = -20 + 5. Suppose -j*h - 25 = -10*h. What is the units digit of h?
5
Let i(k) = k**3 + 4*k**2 - 3*k - 5. Let r be i(-4). Let d = r - 4. What is the units digit of d?
3
Let q(o) = -3*o - 1. Let l = -4 - -3. What is the units digit of q(l)?
2
Let p = -15 + 17. What is the units digit of p?
2
Suppose 5*a = 2 + 13. Let y be (-9 + a)/((-2)/2). What is the units digit of y/(-33) - (-79)/11?
7
Let m(z) = z**2 - 9*z - 5. Let t be m(10). Suppose -t*n - 3*a + 68 = -6*a, -2*n + 21 = 5*a. What is the units digit of n?
3
Suppose -3*o - o - 5*l = -29, -7 = -2*o - l. Let n = 19 - o. Suppose -r = 5*h - 7, 3*h - n - 3 = 5*r. What is the units digit of h?
2
Let c(m) = 2*m + 5. What is the tens digit of c(10)?
2
Let n(z) = 125*z + 3. What is the units digit of n(1)?
8
Let r = -24 - -42. Suppose 2*z - 20 + r = 0. What is the units digit of z?
1
Suppose 14 = 5*o - 376. What is the units digit of 2/(-6) - o/(-18)?
4
Let q(x) be the second derivative of -x**5/20 + 5*x**4/12 - x**3/3 - 2*x**2 - x. What is the units digit of q(4)?
4
Suppose -q - 5 = 0, 0*l = 4*l - 4*q - 24. Suppose 4 - l = 3*d. Let g = d - -1. What is the units digit of g?
2
Let m be (-4)/(-18) - 1784/(-72). Let y = 56 - m. What is the tens digit of y?
3
Let s(r) = -r**3 - r**2 + 2*r - 1. What is the units digit of s(-3)?
1
Suppose 20*g = 25*g - 1430. What is the hundreds dig