Let j be b(3). Suppose j - 4 = x. What is the units digit of x?
8
What is the units digit of (-6732)/(-33) - -3*(-3 - -2)?
1
Suppose -16 = 4*i, 2*b + 3*i = -i - 10. Suppose -2*n - 20 = -4*y, -n = b*y + 2*y - 11. What is the units digit of y?
3
Let b(f) = -f**2 + 4*f. Let y(c) = -c**2 + 4*c. Let j(r) = 5*b(r) - 6*y(r). What is the tens digit of j(7)?
2
Let z(i) = 2*i**2 + 3*i. Let r be z(-2). Let j be ((0/r)/(-1))/2. Suppose 5*q = 25, j*q - 3*q = -3*f + 3. What is the units digit of f?
6
Let y(z) = -z**3 + 9*z**2 - 10*z + 9. Let g be y(8). What is the units digit of (g/(-2))/(3/18)?
1
Let z(n) be the third derivative of n**5/60 - n**3/3 - 2*n**2. Let q(x) = x**2 - 3. Let l(t) = -4*q(t) + 5*z(t). What is the units digit of l(0)?
2
Let i = 127 + -42. What is the tens digit of i?
8
Suppose 5*o + 7 = t, 0 = -0*t - 3*t + 5*o + 11. Suppose -5*v + 14 = 4*m, -t*v = -v + 3*m + 6. Suppose 0 = -4*r + v + 2. What is the units digit of r?
2
Let x be 2/6*(-2 + 8). Suppose -24 - 54 = -x*v. Let i = -26 + v. What is the tens digit of i?
1
Suppose z - 2*j = -3*j + 1, -5 = -z + j. Suppose z*u = -u + 8. What is the units digit of (10/1)/u + -1?
4
Let a = -17 - -20. What is the units digit of 7 - a/((-12)/(-4))?
6
Let g(f) = f**2 - 3. Let s be g(2). What is the units digit of ((-13)/39)/(s/(-9))?
3
Let d(v) be the first derivative of v**5/60 - 5*v**4/24 + 5*v**3/6 + v**2 - 1. Let l(c) be the second derivative of d(c). What is the units digit of l(4)?
1
Let t(y) = y + 24. What is the units digit of t(-12)?
2
Suppose 2*f - f + 5*v = 229, -v - 1145 = -5*f. What is the tens digit of f?
2
Suppose 358 = 2*a + 2*r, 14*a - 10*a = r + 711. What is the units digit of a?
8
Let m = -44 + 68. What is the units digit of (5 + -3)*m/3?
6
Suppose 5*s = 370 + 95. Suppose s - 18 = 5*o. What is the units digit of o?
5
What is the tens digit of 1/(-6) - 1270/(-60)?
2
What is the units digit of (356/(-12) - -3)*18/(-4)?
0
Let s(q) = q**2 + 11*q - 5. Let r be (2/(-2))/(1/(-1)). Let l(n) = n. Let b(m) = r*s(m) - 5*l(m). What is the units digit of b(-8)?
1
Suppose 4*f - 32 = -2*j, 5*j + 2*f - 82 = j. What is the units digit of j?
2
Let q = 408 + -710. Let k be (-8)/(-36) + q/(-18). Suppose r - 4*y = -13, -r + 0*r = -5*y + k. What is the units digit of r?
3
What is the units digit of 1/4 - 165/(-12)?
4
Let b = 6 - 8. Let f be 84/20 + b/10. Suppose o = 5*z - 4, 0*o + 22 = 5*o - f*z. What is the units digit of o?
6
Let a = 6 - 2. Suppose -a*i - 24 = -7*i. What is the units digit of i?
8
Suppose -5*f = 4*q - 115, 3*f - 86 = -4*q + 5*q. Suppose -4*t - m = t - 8, 4*t = 5*m + 18. Suppose -t*x - x = -f. What is the units digit of x?
9
Suppose 4*g + 2 = -2*q, g - 2*q + 6*q + 4 = 0. Suppose g = -2*h - 2*w + 26, 3*h - 5*w - 5 = 2. What is the units digit of h?
9
Let b be 2/(-4) + (-5)/10. What is the units digit of 27/b*3/(-9)?
9
Let v(l) = l**3 - 27*l**2 + 32*l - 63. What is the units digit of v(26)?
3
Let g(s) be the first derivative of 28*s**3/3 + s**2/2 + 2. What is the units digit of g(1)?
9
Let l = 81 + -45. What is the tens digit of l?
3
Let w = 318 - 27. What is the tens digit of w?
9
Suppose -7*j - t + 663 = -2*j, 0 = -5*j + 2*t + 654. What is the units digit of j?
2
Suppose 0 = -5*h - 9 + 29. Suppose -3*g + 4*d = 6, 3*g - h*d + d = -3. What is the units digit of (g/(-6))/((-5)/30)?
2
Suppose 6*n + 1590 = 12*n. What is the units digit of n?
5
Suppose -45 = 5*g - 125. What is the tens digit of g?
1
Suppose 857 = 5*o + 197. What is the hundreds digit of o?
1
Let f = 31 - -3. What is the tens digit of f?
3
Let o(d) = 6*d + 1. What is the tens digit of o(2)?
1
Let t(d) = -d**2 + 3*d + 3. Let c be t(7). Let h = c + 45. What is the units digit of (24/10)/(4/h)?
2
Let s(t) = -t + 3. Let d be s(8). What is the units digit of 1/(((-10)/8)/d)?
4
Suppose 5 = -5*t - 0. Let y = 17 - 12. Let v = y - t. What is the units digit of v?
6
Let d(v) be the first derivative of -v**4/2 + 2*v**3/3 - v**2/2 + v + 2. Let n be d(-2). What is the units digit of n/6*2 + -2?
7
Suppose -9 = -2*a - 3. Suppose -3*x = o - 6, 1 = -a*x + 4*o + 7. What is the units digit of x?
2
Let g = 10 + -6. Suppose -2*t + 2*a + 22 = 0, -g*a = -2*t - t + 38. What is the units digit of t?
6
Let o(b) = b**3 - 15*b**2 + 29*b - 14. What is the units digit of o(13)?
5
Let j = -74 + 104. What is the tens digit of j/4*(3 - 1)?
1
Let l = 284 - 139. What is the units digit of l?
5
Let y(l) be the second derivative of l**5/20 - 7*l**4/12 - l**3 - 5*l**2/2 + 3*l. What is the tens digit of y(8)?
1
Suppose -2*s - 10 = 0, -3*k + 5*k + 7 = -3*s. What is the units digit of k?
4
Suppose 3*u - 70 = -2*u. Suppose -4 = -3*l + u. Suppose 0 = -2*n + 3*n - l. What is the units digit of n?
6
Suppose -27 = 5*u - 92. Let t = 21 - u. What is the units digit of ((-35)/20)/((-2)/t)?
7
Suppose 3 = v - 0. Let i(w) = v - 3*w - 6 - 5*w + w. What is the units digit of i(-2)?
1
Suppose 5*l = 4*l + 34. What is the units digit of l?
4
Let g = -10 + 25. Suppose -g - 49 = 4*p. What is the units digit of p/12*(-3 - 0)?
4
Suppose 5*q - 2*q = 4*p + 323, -2*p = 4. What is the tens digit of q?
0
Suppose c - 12 = -c. What is the units digit of c?
6
What is the units digit of 8/12 + (-1)/(-3)?
1
Let f(o) be the third derivative of 0 - 1/3*o**3 + 0*o - 1/120*o**6 - 2*o**2 + 1/15*o**5 - 1/24*o**4. What is the units digit of f(3)?
4
Let a(m) = -m - 3*m + 2*m + 2 - 1. Suppose -5 - 3 = 2*d. What is the units digit of a(d)?
9
Let u be 0 + -2 - (1 + -2). Let a(y) = 4*y**2 - 1. What is the units digit of a(u)?
3
Suppose -6*u - 26 = -8*u. What is the units digit of u?
3
What is the units digit of (-1852)/(-16) + 1/4?
6
Suppose 3*u + 3*l + 86 = l, -4*l + 114 = -5*u. Let c = 38 + u. What is the units digit of c?
2
Suppose -8*w + 1729 = -w. What is the tens digit of w?
4
Let i(w) = -8 + w - 5*w + 0*w + 2*w. Let d be i(-7). Suppose -3*h + d*h - 39 = 0. What is the units digit of h?
3
Suppose -9*n = -4*n - 20. Let k be (-2)/n*0 + 5. Suppose -w - 10 = -2*u + u, k*w = 15. What is the tens digit of u?
1
Suppose 0 = -4*i - o + 191, 5*i - 147 = 3*o + 79. What is the tens digit of i?
4
Suppose -2*o + 30 = -38. What is the tens digit of o?
3
Suppose -6*x = -142 - 242. What is the tens digit of x?
6
What is the tens digit of 96/1 + 12/6?
9
What is the hundreds digit of 8/28 + -106*(-17)/14?
1
Suppose -2*i + 10 = -4*j, -2*i + 3*j = i - 21. Let x = 14 - i. What is the units digit of x?
5
Let t = -3 + 8. Suppose -r + 2*r = -2*k, 0 = 3*k - t*r - 13. What is the units digit of k?
1
Let o(m) = m**2 + m - 6. Let d(x) = x**2 - 7. Let q(z) = 4*d(z) - 5*o(z). Suppose -11 = 7*k - 5*k + g, 15 = -5*g. What is the units digit of q(k)?
6
Suppose 0 = v - 3*v + 8, -4 = 2*u - 3*v. What is the tens digit of ((-2)/u)/((-1)/36)?
1
Suppose d + 444 = 4*d. What is the units digit of d?
8
Let n = 446 + -139. What is the hundreds digit of n?
3
Suppose 0*y + 9 = 5*m + y, -3*y = -2*m - 10. Let w be 3 + -2 - (m - 3). Suppose -5 - 1 = -w*r. What is the units digit of r?
2
Let z(t) = -1 - 3 - 5*t + 3*t. Let g be z(-3). Suppose -3 = -y + 2*n, -5*n - 13 = -g*y - 6. What is the units digit of y?
1
Let m be 7/1 - 1/(-1). Let y = 106 + -104. What is the tens digit of (-171)/(-12) - y/m?
1
Suppose 5*h = -2 + 22. What is the units digit of h?
4
What is the tens digit of 2 - (544/(-10) + 42/(-70))?
5
Let i = 127 + -77. Suppose 6*r - i = r. What is the tens digit of r?
1
Suppose 5*z - 145 = -15. What is the units digit of z?
6
Let y(b) = -b**3 - 2*b**2 - b - 2. Let k be y(-2). Suppose g = 3*v + 9, 3*g + 2*v + 6 = -k*g. Suppose g = -3*d - 0*d + 15. What is the units digit of d?
5
Let o = 44 + -23. Let u = 11 + o. What is the units digit of u?
2
Let h = 178 + -117. Let u = h - 31. What is the tens digit of u?
3
Suppose 3*h - 12 = -3*z, -2*z + 10 = -2*h + 2. Suppose h*f = -f + 7. What is the units digit of f?
7
Suppose -4*t - 4 = 0, -2*a - 75 = -4*a + t. Suppose 0 = 2*u - 5*n - a, 3*u - 23 = n + 52. Suppose y = -y + u. What is the units digit of y?
3
Suppose 0 = -5*b + b. Let n = b + 17. Suppose 5*f + s = 33, 3*f + s + s = n. What is the units digit of f?
7
Suppose 7 = -4*r - m, -6 = -5*r - 4*m - 1. Let d(n) = -n**2 - 5*n - 3. Let z be d(r). Suppose z*l = -2*l + 45. What is the units digit of l?
9
Suppose -4*c - 300 = -5*s + 22, 0 = -s + 2*c + 