ppose 4*l + p*f - 37 = 35, 9 = -3*f. What is the units digit of l?
1
Let g(y) be the first derivative of -3*y**2/2 + 5*y + 3. Let l(a) = 4*a - 6. Let c(m) = 3*g(m) + 2*l(m). What is the units digit of c(-6)?
9
Let u(t) be the third derivative of -t**6/120 + t**5/12 + t**4/8 - t**3 + 3*t**2. What is the units digit of u(5)?
9
Let m be ((-9)/6 - 0)*-6. Let z = m - 6. What is the units digit of z?
3
What is the tens digit of 1 + (-30)/(0 + -2)?
1
Suppose -8*b = -4*b - 12. Suppose -5*l + 3*x = -122, -x - 100 + 30 = -b*l. What is the units digit of l?
2
Let q(c) = -c**2 + 7*c + 11. Let u be q(8). What is the units digit of 9 - ((1 - u) + 4)?
7
Let h(x) = -3*x + 1. Let j be h(-1). Let z be -2 - j/(12/15). Let k = z + 10. What is the units digit of k?
3
Let n be 3/6*(5 + -1). Let z = n + -1. What is the units digit of -5*((-2)/z + 1)?
5
Suppose -2*f + 95 = 3*t - 15, 5*t = -3*f + 184. What is the units digit of t?
8
Suppose 0 = -2*q + 5*q - 237. What is the units digit of q?
9
Suppose -125 + 489 = 4*v. What is the tens digit of v?
9
Suppose -12 = -c + 15. What is the units digit of c?
7
Suppose -6*t = -278 - 166. What is the tens digit of t?
7
Let q = 69 - -96. What is the tens digit of q?
6
Suppose 0 = 2*x - 5*b - 10 - 1, -3*b - 15 = -4*x. What is the units digit of x?
3
Suppose -2*k - 85 = -3*m, 0 = 2*m - 0*k + k - 66. What is the units digit of m?
1
Suppose 119 + 7 = -7*b. Let x = 20 - b. What is the units digit of x?
8
Let k = -127 + 217. What is the units digit of k?
0
Let q = 17 + -15. Suppose 0 = -3*f + q*a + a + 42, -52 = -2*f - 4*a. What is the units digit of f?
8
Suppose -3*x - 10*r - 57 = -11*r, 0 = r. Suppose -4*s - 136 = 2*f, 2 + 2 = -f. Let t = x - s. What is the units digit of t?
3
Suppose -u + 5*u = 3*q + 173, u - 5*q = 39. What is the tens digit of u?
4
Let u(j) = -14*j - 2*j**2 - 5 + j**2 + 2*j. What is the units digit of u(-9)?
2
Let a = 3 + 1. What is the units digit of 73/4 + 3/a?
9
Let g(z) = 2*z**2 - 6*z + 5. Let l be g(4). Suppose -5*n + 3*u + 8 = 0, -4*u + 6 = -3*n + l. What is the units digit of n?
1
Let u = -44 + 125. What is the tens digit of u?
8
Let s(n) = n**3 + 7*n**2 - 7*n - 3. Let x(o) = o**3 + 6*o**2 - 6*o - 2. Let q(c) = 5*s(c) - 6*x(c). What is the tens digit of q(-3)?
1
Suppose 2*t = -2*t + 5*d, -3*d - 27 = 3*t. Let j be (-16)/t - 2/10. Suppose -4*y - 1 = -j*i, -6*y = -2*y - 8. What is the units digit of i?
3
Let p(d) = 9 - d - 1 - 6 - 4. What is the units digit of p(-6)?
4
Let l = -1 + 4. Suppose 2*w + 5*h = -2*w - 8, -l*w = h - 5. Let q = w - -4. What is the units digit of q?
7
Let b be 1*10/(-3)*-3. Let v = b + -4. Suppose -3*s + 0*s = v, -i = -2*s - 17. What is the units digit of i?
3
Let y(g) be the first derivative of g**5/60 + g**4/24 + g**3/3 + 1. Let p(d) be the third derivative of y(d). What is the tens digit of p(5)?
1
What is the units digit of (1 - 52*-1)/(5/25)?
5
Suppose -2*k - 2*p + 27 = 3*p, 2*p = -k + 13. What is the units digit of k?
1
Let p(l) = l**2 + 4*l. Let f(v) = -2*v**2 - 5*v. Let r(t) = -4*f(t) - 5*p(t). What is the units digit of r(-1)?
3
Let f(d) = -d**2 + 10*d + 23. What is the tens digit of f(11)?
1
Let a(n) = n - 2. Let y be ((-6)/(-8))/(2/16). Let j be a(y). Suppose 4 = -z + 3*z - w, -5*w - 2 = -j*z. What is the units digit of z?
3
Let n(q) = q**3 - 4*q**2 - 5*q - 5. Let w be n(5). What is the units digit of 1 - -1 - 30/w?
8
Let u(c) = 6*c**3 + c**2. Let t be u(1). Suppose -6*o + 21 = 2*h - o, -t = -4*h - 3*o. What is the units digit of -4*2/2*h?
8
Let u be 15/9 - (-2)/6. Suppose -k - 4 = -u. Let h = 2 - k. What is the units digit of h?
4
Suppose n - 4*i - 14 = 0, 0 = 3*n + 4*i - 26 - 0. What is the units digit of n?
0
Suppose 113 + 31 = 12*c. What is the tens digit of c?
1
Let g(c) = c**2 - 3*c - 4. Let r be g(4). Suppose -6*s + s + 80 = r. Let k = -3 + s. What is the tens digit of k?
1
Suppose 3*f + 5 - 127 = -5*v, v - 3*f = 28. What is the tens digit of v?
2
Let c = 119 - 47. Suppose -5*p + b + c = -p, -5*b = 0. Let y = 26 - p. What is the units digit of y?
8
Suppose -2*s + 17 = -3*y - 23, -20 = -5*y. What is the units digit of s?
6
Suppose 0 = 5*k - 7*k + 8. What is the tens digit of ((-34)/k)/(2/(-4))?
1
Suppose -6*t + 2*t - x + 10 = 0, -2*t + x + 8 = 0. Let q(v) = 2*v**3 - 5*v**2 + 5*v - 4. Let c be q(t). Let f = c + -6. What is the units digit of f?
4
Suppose 0*n + 5*n + 40 = -2*j, 0 = 4*n - j + 19. Let v = -3 - n. What is the units digit of v?
3
What is the units digit of -2*(226/(-7) - 10/(-35))?
4
Let j be 12/3 + -1 + -1. Suppose -j*r + 2*n + 10 = 0, 3*n - 14 - 11 = -5*r. Suppose r*f - 25 - 35 = 0. What is the units digit of f?
2
Let g be 6*(1 + (-1)/3). Suppose -g*h + 42 = -22. What is the units digit of h?
6
Suppose -4*g + y + 620 = 0, -2*y - y = 4*g - 636. What is the hundreds digit of g?
1
Let o be 1/(3 + 10/(-3)). Let t(s) = 2*s**3 - s**2 - 2. Let x be t(2). What is the tens digit of x*2/(-6)*o?
1
Let w(z) = -6 - 3 + 3 + z. Let r be w(6). Suppose r = 3*b - 9 - 12. What is the units digit of b?
7
Let w(l) = -9*l - 17. What is the units digit of w(-5)?
8
Suppose 0 = 6*y - 147 - 339. What is the units digit of y?
1
Suppose -4 = 4*d + 4. Let x be 156/(3/(-6)*d). What is the tens digit of (-2)/6 + x/9?
1
Let n be 6/(-4) - 3/(-2). Suppose n = 3*m - i - 221, -46 = -m + 4*i + 13. Suppose 5*w + m = 5*f, 2*f + 2*f = -5*w + 33. What is the tens digit of f?
1
Let j(t) = -t**2 + 16*t - 21. What is the tens digit of j(11)?
3
Let u(g) = g**2 - 3*g + 4. Let a = 6 - 3. Let b be u(a). Suppose 4*s = -b*c + 24, s - 12 = -4*c - 0*c. What is the units digit of s?
4
Suppose 5*a - 15 = 0, 5*s - 4*a = 3 + 5. What is the units digit of s?
4
Let u be 6/33 + (-35)/11. What is the units digit of (-1)/u - (-28)/6?
5
Let s(o) = -o**3 - 7*o**2 - 7*o - 3. Let h be s(-6). Suppose 3 = h*a + 57. Let l = -4 - a. What is the units digit of l?
4
Let n be (-7 - -12)*(0 - -1). Suppose -n*p - 5 = -55. What is the tens digit of p?
1
Let v = 16 + 49. What is the units digit of v?
5
Suppose -4 = -2*q - 3*n, -3*q + 0 = -2*n - 6. Let z = 42 + -42. Let s = q + z. What is the units digit of s?
2
Suppose -3*w - 71 = -4*w. What is the tens digit of w?
7
Let u = -6 + 10. Suppose u*m - 7 = 1. Suppose -c = -2 - m. What is the units digit of c?
4
Let x be (1 + (-6 - -3))*4. Let b = x + 36. What is the tens digit of b?
2
Let r(u) = u**3 - 7*u**2 + 7*u + 1. Let p be r(6). Let h be p + (2 - 2)/2. Suppose 0 = 5*d - 3*d - 3*i + h, 2*i = 10. What is the units digit of d?
4
Suppose 240 = 2*q + 26. Suppose -3*h = -2*j + 53, 4*j - 5*h = -2 + q. What is the units digit of j?
5
Let p = 18 - 6. What is the units digit of p?
2
Suppose 10 = -0*f - 5*f. What is the tens digit of f*(0 - (-1 + 8))?
1
Suppose 5*o - 31 = 4*w, 4*w - o + 8 + 11 = 0. Let t = 0 - w. What is the units digit of 6 - (t/(-2))/(-2)?
5
Let d be ((-15)/(-6))/(3/(-30)). Let x = d + 37. What is the tens digit of x?
1
Suppose 4*x = 7*x - 294. What is the tens digit of x?
9
Let y(c) = c**3 - 6*c**2 + 3*c + 8. What is the tens digit of y(7)?
7
Let h be 6/(-15) - (-304)/10. Suppose 5*u - h = 55. What is the units digit of u?
7
Let o = -48 - -22. What is the units digit of -3*(o/3 + 3)?
7
Let w(g) = 5*g + 6. Let q be w(6). What is the units digit of (-22)/(-18) - 8/q?
1
What is the hundreds digit of ((-1)/((-3)/(-6)))/(1/(-103))?
2
Suppose -5*c = -0*c - 20. Let d = -4 + c. Suppose -l + 36 = -5*i, d*i - 4*i = 20. What is the tens digit of l?
1
Let k be 176/(-18) + (-4)/18. Let x(u) = -2*u - 6. What is the units digit of x(k)?
4
Let s = -3 - -3. Suppose 5*b + 30 = 5*f, s*f + 4 = b + f. Let x = b + 2. What is the units digit of x?
1
What is the units digit of (4/(4/25))/(2/6)?
5
Let d(i) = -i**3 - 4*i**2 + 3*i - 2. Let y(h) = -h**2 - 4*h + 7. Let z = -20 + 14. Let l be y(z). What is the units digit of d(l)?
8
Let s be (-42)/(-8) - 2/8. Let i be 11/22 + (-6)/4 - -46. Suppose -s*y + 0*y = -i. What is the units digit of y?
9
Suppose 8 = -2*g + 4*g. Suppose 2*k = g*t - 48, -5*t - k = 2*k - 49. Suppose b + t = -5*h + 27, b = 2*h + 9. What is the units digit of b?
1
Let i = 56 + -33. What is the tens digit of i?
2
Let h(g) = -g**3 - 7*g**2 + 7*g - 11. Let t be h(-8). Let a be (-12)/(-2) + -1 + t. What is the tens digit of ((-11)/a)/((-3)/6)?
1
What is the hundreds digit of (151