f**2 - 9*f. Let b be n(-9). Suppose b = -13*o + 16*o - 12. Suppose 2*w + 7 = -a, 3*a - o*w - 9 = 10. What is the units digit of a?
1
Suppose 0 = -3*b + 17 + 61. Suppose -5*f - z - 41 = 0, 0*f + 2*f + b = 2*z. Let m = 37 + f. What is the units digit of m?
8
Let k = -2 + 0. Let g be (-292)/(-12)*(1 - k). Suppose 0 = o + 5*s - 39, -3*o - s + g = 3*s. What is the units digit of o?
9
Let q(a) = 2*a**2 - 8*a + 44. What is the units digit of q(-11)?
4
Let u = -44 + 46. Suppose u*m = -d + 68 + 36, -m + 5*d = -63. What is the units digit of m?
3
Let j(d) be the second derivative of -d**5/10 + 5*d**4/3 + 15*d**2/2 + 50*d. What is the hundreds digit of j(9)?
1
Let h = -65 - -68. What is the units digit of (-164)/(-4) - h - -3?
1
Suppose z - 656 = 321. What is the units digit of z?
7
Let d = -101 - -36. Let p = -41 - d. What is the tens digit of 368/p - (-1)/(-3)?
1
Let x be ((-3)/(6/44))/(-2). Suppose 3*g - 26 + x = 0. Suppose 3*p - 30 = -k, 3*p = -0*p + g*k + 30. What is the units digit of p?
0
Let t = -264 + 737. What is the tens digit of t?
7
Suppose -4*j - 6*a = -5*a - 1232, -5*j + 1543 = 2*a. What is the hundreds digit of j?
3
Let z(q) = 4*q**2 + q - 13. Suppose 6*i - 4*i - b + 4 = 0, b = -4*i - 20. What is the units digit of z(i)?
7
Let n(k) = k**2 + k - 8. Let r(u) = 11*u**2 + 3*u + 3. Let p be r(-1). Suppose -4*i - 5*q - 29 = 0, -q - p = 2*i - 2*q. What is the tens digit of n(i)?
2
Let c(m) = -7*m + 6. Let n be c(3). Let v = n + 19. What is the units digit of 4 - (-1)/(v/88)?
6
Let p(t) = -187*t**3 - 2*t**2 + 1. Let k be (-2)/(4 + -2 + 0). Let z be p(k). Suppose -5*o + z = 1. What is the units digit of o?
7
Suppose -7*b + 2070 = -2634. What is the hundreds digit of b?
6
Suppose 11 = 5*b - 4. Suppose 0 = -p + 1, p - b*p + 2 = -2*t. Suppose t = 2*j - 4*j + 72. What is the units digit of j?
6
Let w(k) = 14*k**3 - 3. Suppose 0 = f + 4*f - 10. What is the hundreds digit of w(f)?
1
Let w = -35 + 35. Let l(n) = n**3 - n**2 + n + 13. What is the units digit of l(w)?
3
Suppose 2*o = w + 3, 0 = -o - 0*o + 3*w - 6. Suppose -4*b + o*b = -3. Suppose b*n = -4*z + z + 39, 4*n = 5*z - 38. What is the tens digit of z?
1
Let a = -1650 + 2586. What is the units digit of a?
6
Let d(f) = 12 - 9*f**2 + 7*f + 7*f + 0*f**2 + f**3 - 2*f**3. Let h be d(-11). Suppose -4*x + h = x. What is the tens digit of x?
2
Let j(t) = t**3 - 4*t**2 - t - 17. Let f be j(6). Let c be 2/3*876/8. Suppose f = 2*x - c. What is the tens digit of x?
6
Let n = -177 - -511. What is the hundreds digit of n?
3
Let a = -2471 - -4949. What is the tens digit of a?
7
Let z = -770 - -1349. What is the units digit of z?
9
Let z(n) = 6*n**2 + n + 4. Let k be z(-2). Suppose 0 = -y + 2*y. Let l = k + y. What is the units digit of l?
6
Let a(n) = 23*n**3 + 15*n**2 - 18*n + 47. What is the hundreds digit of a(6)?
4
Suppose 5*w = -5*m - 1 - 4, 4*m - 4 = 0. Let s(l) = 12*l**2 - 6*l - 7. What is the tens digit of s(w)?
5
Let h = 59 + -77. What is the tens digit of (-4)/(-6) - (-5 - (-330)/h)?
2
Let j be 178/9 + 34/153. Suppose j = -4*b, 2*p + b + 14 = -b. What is the units digit of (-9)/p + (-17)/34?
4
Let v(l) = 2*l - 4. Let u be v(-9). Let p = 27 + u. What is the units digit of p?
5
Suppose 4*n = -18 - 34. Let d be 22 + 0 + 2/(-2). Let o = n + d. What is the units digit of o?
8
Suppose 5*b - 4*b = 585. Suppose 39*k - 44*k + 2*n + 36 = 0, 3*n + 10 = 2*k. Suppose s = -k*s + b. What is the tens digit of s?
6
Suppose 4*y + 8 = 0, 5*y = -0*h - h - 6. Suppose n + 5*f - 60 = 16, h*n - 342 = -f. What is the units digit of ((-12)/(-8) + -1)*n?
3
Let c = -12 + 17. Suppose c = -2*y + 15. Suppose y*n - n + k = 161, 4*n - k = 159. What is the units digit of n?
0
What is the tens digit of 15/(-480)*-3592 + 2/(-8)?
1
Let j be -1 + 9*(1 - 2). Let z = j - -13. What is the units digit of -3 - (z + -5 - 12)?
1
Let y(t) = -6*t**3 + 5*t**2 - 15*t - 17. What is the hundreds digit of y(-5)?
9
Suppose -5*k + 103 = -k + n, k = -2*n + 17. Suppose 0 = -m + 5*z + 30 + k, 5*m + 2*z - 204 = 0. What is the tens digit of m?
4
What is the units digit of ((3/4)/3)/(21/33684)?
1
Let q = 1502 - 939. What is the units digit of q?
3
Let s be 14*4*(-15)/(-40). Suppose 69 + s = 5*g. What is the units digit of g?
8
Let o = 5111 - 3054. What is the hundreds digit of o?
0
Suppose 0 = 81*w - 130*w + 141757. What is the units digit of w?
3
Let p = 737 - -819. What is the thousands digit of p?
1
Let w = -85 - -162. Let k = -53 + w. Suppose -z + 3*z - k = 0. What is the units digit of z?
2
Let g = -18 - -19. Let z be ((-285)/10)/(g/(-2)). What is the units digit of z/21 - (-12)/42?
3
Let h(v) = 224*v**2 - 3*v + 1. What is the hundreds digit of h(-1)?
2
Suppose 504 = -b + 1272. What is the hundreds digit of b?
7
Suppose 0 = -3*j + 9, 0 = -0*d - 3*d - 4*j + 1377. What is the hundreds digit of d?
4
Let t = 3303 - 1864. What is the thousands digit of t?
1
Suppose -b - 8 = 2. Let n be 3344/40 + (-4)/b. Suppose 30 - n = -3*h. What is the tens digit of h?
1
Let c be 1005/24 + (-2)/(-16). Let r = 70 - c. What is the tens digit of r?
2
Suppose 0 = -3*u + 3*r + 18 + 15, u - 5*r = 27. Let o(z) = -z**3 + 6*z**2 + 7*z + 21. What is the tens digit of o(u)?
2
Suppose 68 = -3*b + 29. Let u = 18 + b. Suppose 89 = -u*j + 274. What is the tens digit of j?
3
Let a = -320 + 218. Let l = a + 198. What is the units digit of l?
6
Suppose 0*d + 2*d - 2 = -3*b, -4*d = 4*b - 4. What is the tens digit of (-55)/(-1) + (0 - b)?
5
What is the units digit of 131/3 + 4/12?
4
Let f(t) be the second derivative of t**4/12 - 5*t**3/6 + 13*t. Let g be f(6). What is the tens digit of (-538)/(-12) + 1/g?
4
Let f(i) = 168*i**2 - 20*i + 30. What is the tens digit of f(2)?
6
Let o(s) = 49*s**2 - 19*s + 70. What is the tens digit of o(3)?
5
Let z be -1*(-4)/12*-21. Let y = z - -30. Suppose 0 = 4*c - 29 - y. What is the units digit of c?
3
Suppose 0 = -5*z + 684 + 416. Let p = -121 + z. What is the tens digit of p?
9
Let h(f) = 2*f**2 + 39*f - 307. What is the units digit of h(-33)?
4
Let z(i) = 4*i + 9. Let x be z(-3). Let n be (-4)/6 + 25/x. Let g(l) = -l**2 - 12*l + 9. What is the tens digit of g(n)?
3
Let f = 77 + -11. What is the tens digit of f?
6
What is the thousands digit of -50*268*(-7)/70?
1
Let f = 33 - 42. What is the tens digit of f/(-63) - (1 - 2244/21)?
0
Let g(s) = 12*s**2 + 32*s + 14. What is the hundreds digit of g(-11)?
1
Let n = -1 - 30. What is the tens digit of ((-4 - 0) + 3)*2*n?
6
Suppose -3*q = 2*s + 3*s - 151, 0 = -4*q + 5*s + 178. Let h = 71 + q. What is the hundreds digit of h?
1
Suppose -342 = -a + 166. Suppose -2*h + a - 136 = 0. What is the hundreds digit of h?
1
Suppose -x + 2*m + 1868 = 3*x, -5*x = -3*m - 2333. What is the hundreds digit of x?
4
Let g(x) = -3*x - 5. Let l be (-5)/10 + (-186)/(-4). Suppose 5*p - t + l = -4*t, 2*p - 3*t + 31 = 0. What is the tens digit of g(p)?
2
Let j(m) be the first derivative of -m**3/3 - 7*m**2/2 - 4*m + 3. Let x be j(-6). Suppose -36 = -p + x. What is the units digit of p?
8
Let b(s) = 10*s + 4 + 0*s - 2 + 6*s. What is the units digit of b(1)?
8
Let c = -152 - -150. Let j(z) be the second derivative of -z**5/5 - z**4/4 - z**3/3 + z**2 + z. What is the tens digit of j(c)?
2
Suppose -17*g + 4704 + 4731 = 0. What is the units digit of g?
5
Suppose 0 = -a + 4*a - 36. Suppose 10*k + 2*q = 5*k + 12, a = -3*q. Suppose 4*j + 0*j - 3*m - 53 = 0, 2*m + 50 = k*j. What is the units digit of j?
1
Let v be 3 - 2*(-3)/(-6). Let p(y) = 3*y**2 - y - 3. What is the units digit of p(v)?
7
Let p = -828 + 2468. What is the hundreds digit of p?
6
Suppose 0 = u + 2*j - 4955, -j - 15 = 2*j. What is the units digit of u?
5
Let t(c) = -81*c + 392. What is the thousands digit of t(-20)?
2
Suppose -224 = -f + 3*k, -7*f = -2*f + 4*k - 1025. Suppose -5*p + 2*b = -397 - 173, -f = -2*p - 3*b. What is the tens digit of p?
1
Let y be 43/9 + 28/126. Suppose y*h = -0*w - 2*w + 9, 3*h = -5*w + 51. What is the tens digit of w?
1
What is the units digit of 12 + 30/(-5) + 295?
1
What is the tens digit of (0 - 20/(-15))/((-4)/(-894))?
9
Let g be (-4)/18 + (-1181)/(-9). Suppose 0 = -4*u + 6*u - r - g, -r = -4*u + 267. What is the tens digit of u?
6
Let d = 77 + 169. What is the tens digit of d?
4
Suppose 2*r - 4*c = 28, 3*c + 6 - 40 = -4*r. Let a(j) = 13*j - 20. Let