f) = 48*f**3 - f + 1. Let v(o) = o**2. Let w(q) = a(q) + v(q). What is the units digit of w(1)?
9
Suppose 5*j - 293 = -0*y - y, -15 = -5*y. What is the tens digit of j?
5
Let o = 10 + -7. Suppose 5*j + o*z = -3 - 3, -2*z - 4 = 3*j. Suppose -h + j + 7 = 0. What is the units digit of h?
7
Let f(z) be the first derivative of -z**2/2 + 7*z - 1. Let w be 30/9 + (-1)/3. What is the units digit of f(w)?
4
Let o(w) = w**3 - 4*w**2 + 2*w + 3. Let g be o(3). Suppose -12 = -4*q - g*q. What is the units digit of q?
3
Let f(h) = h**2 + 10*h + 7. What is the units digit of f(-10)?
7
Suppose 0 = -r - 3*r + 12. Suppose -r*i + a - 15 = -6*i, -i - a + 5 = 0. Suppose -i*u + u = -8. What is the units digit of u?
2
Let r = 3 - -2. Let t(z) = -z**2 + 11*z - 5. Let w be t(r). Suppose 3*h + 1 = w. What is the units digit of h?
8
Let a = 54 + -29. Suppose 3*q = 4*p - 5*p - a, 4*q = 2*p - 20. Let m = q - -19. What is the units digit of m?
2
Let i(h) = -h**3 - 6*h**2 - 6*h - 7. What is the units digit of i(-6)?
9
Suppose -5*d = 3*l - 16, -5*l - d = d + 5. Let o = l - -6. Suppose 3*y - 12 = -2*i + y, -3*i + o*y + 42 = 0. What is the units digit of i?
0
Let t = -31 - -63. What is the units digit of t?
2
Suppose 2*w + 0 = 4. Let d be -94 + (1 + -1 - w). What is the units digit of (-4)/(-10) - d/10?
0
Let y = -28 + 24. Let n be 14/(-10) - 4/(-10). Let b = n - y. What is the units digit of b?
3
Let l = 83 - 7. What is the tens digit of l?
7
Let u = 10 - 7. Suppose 5*m + 3*i = -0*m, -u*i = -m + 18. Suppose -2 = 5*r - q + 5*q, m*q = -9. What is the units digit of r?
2
Let g be -2*(1/(-2) + -1). Let y be 8/g - (-2)/6. What is the units digit of 9/2*2/y?
3
Let r(b) = -2*b**3 + 5*b**2 - 2*b + 1. Let h(i) = i**3 - i**2 - i. Let w(x) = -3*h(x) - r(x). What is the tens digit of w(-4)?
1
Suppose -3*o = -5*o + 94. What is the tens digit of o?
4
Let j(u) = 1 + 2*u**2 + 0*u - u**2 - 2*u. Let r be j(2). Suppose -l - r + 4 = 0. What is the units digit of l?
3
Let a = 5 - 8. What is the units digit of (-20)/(-12) - 1/a?
2
Let c = 325 + -140. What is the units digit of c?
5
What is the units digit of -3*10/(-4)*(-48)/(-3)?
0
Suppose 5*w = 3*t - 7*t - 12, -5*w = 5*t + 15. What is the units digit of (39/(-2))/(t/4)?
6
Suppose 0 = -3*f + 5*f. Let i(n) = n**3 - n**2 + 2. What is the units digit of i(f)?
2
Let r = 0 + -4. Let p(f) = -f**2 - 2*f - 5. Let y(a) = a. Let z(b) = -p(b) + 3*y(b). What is the units digit of z(r)?
1
Let y be 3/(-6) + (-13)/(-2). Let q = 22 - 6. Let u = q - y. What is the units digit of u?
0
Let q = -4 + 6. Let b(s) = 9*s + 0*s**q - 2*s**2 + s**2 - 5. What is the units digit of b(7)?
9
Suppose 23 = b + 3*f, -2*b - 3*b + 30 = -2*f. Let q = b - 4. What is the units digit of q?
4
Let v be 6/(-3)*(-38)/4. Suppose -3*u + v = -8. What is the units digit of u?
9
Let w = 53 - -4. What is the tens digit of w?
5
Let f = 99 + -67. What is the tens digit of f?
3
What is the units digit of ((-76)/10 - -7) + (-1266)/(-10)?
6
What is the tens digit of (-372)/(-21) + (-4)/(-14)?
1
What is the units digit of (24/(-16))/(3/(-26))?
3
What is the tens digit of 5/(40/2)*244?
6
Let y = 150 + -100. Suppose 9*i - 4*i - y = 0. What is the units digit of i?
0
Let q = 211 - 137. What is the units digit of q?
4
Let b = -8 + -11. Let s = b + 31. What is the units digit of s?
2
Let g = 31 + 0. Suppose -4*h + f + 160 = 0, -5*f + 10 = -h + g. What is the tens digit of h?
4
Suppose 3*v - 7 = q + v, -3*q = 4*v - 29. What is the units digit of q?
3
Suppose -5*f + f + 16 = 0. Suppose 3*t - 4*i - 24 + 6 = 0, -13 = -5*t + i. Suppose -34 = -f*p + 2*o, -p - 2 = 2*o + t. What is the units digit of p?
6
Suppose -24 = -2*u - 2*u. Let b = 10 - u. Suppose 6*p = o + 2*p + 10, -b*o + p = -5. What is the units digit of o?
2
Let s = 2 - 10. Let k = -8 - s. Suppose 3*n - 3*c - 54 = k, 3*n + 5 - 75 = -c. What is the units digit of n?
2
Suppose 0 = -4*n + 3*f + 1071, 4*n - 571 = -3*f + 518. What is the units digit of n?
0
Let p(u) = -7 + 0*u - 2*u - 2*u. What is the units digit of p(-5)?
3
Suppose j - 2 = 2. Suppose 2*i = -2*x - j, 0 = i + 3*i - 4*x - 24. What is the units digit of i?
2
Let j(a) = a**2 + 9*a - 6. Let u be j(-9). What is the units digit of 2 - 3/(u - -3)?
3
Let a(k) = -4*k + 1. What is the units digit of a(-4)?
7
Suppose -5*w + 28 = -9*w. Let n = -4 - w. What is the units digit of n?
3
What is the units digit of (-16)/(-2) - 18/6?
5
Suppose -j + 242 = 4*s + 50, -5*j + 225 = 5*s. Let n = s - 33. What is the units digit of n?
6
Let p = 19 - 12. Let v(d) = d**3 + 5*d**2 + 4*d. Let q be v(-3). Let t = p + q. What is the tens digit of t?
1
What is the units digit of ((-54)/15)/(2/(-30))?
4
Let n be (3/(-5))/(3/(-15)). Let o = 11 + -7. Let r = o - n. What is the units digit of r?
1
Suppose -2 = -2*o + 3*o. Let k = -4 + 18. Let d = k + o. What is the tens digit of d?
1
Suppose 2*y = 32 - 8. What is the units digit of y?
2
Let i(f) = -f**2 + 30*f - 54. What is the tens digit of i(23)?
0
Let y(x) = -5*x**3 + 5*x**2 - 8*x + 60. Let d(j) = -3*j**3 + 3*j**2 - 5*j + 40. Let q(s) = 8*d(s) - 5*y(s). What is the tens digit of q(0)?
2
Suppose -4*s - 23 = -3*t, 3*s - 40 = -5*t + 8*s. What is the tens digit of -14*(3 - t/2)?
2
Let z = 52 - -11. What is the units digit of z?
3
Suppose 4*s = s - 2*t + 25, 29 = 3*s + 4*t. Suppose -2*u = -3*u - 3*v - s, -5*u + 35 = v. Suppose 0*m + m = u. What is the units digit of m?
8
Let m = -135 - -227. What is the tens digit of m?
9
Suppose -5*q - 5 = -f - 15, 0 = -5*q + 5*f + 30. What is the units digit of (-2)/(-2*q/9)?
9
Suppose 0*j + m + 16 = 5*j, 5*m + 17 = 4*j. Suppose j*k + 3*k - 78 = 0. What is the units digit of k?
3
Suppose -2*t - 4*a + 188 = 0, 3*t + 3*a - 270 = a. What is the tens digit of t?
8
Suppose -3*g + 45 = -2*g. What is the units digit of g?
5
Suppose -2*w = 4*w - 102. What is the units digit of w?
7
What is the tens digit of (4/(-5))/(12/(-930))?
6
Let v = 1 + 3. Suppose 13 = -v*f + 5*n + 112, -15 = -f - 2*n. What is the tens digit of f?
2
Let v(a) = 8*a - 2. What is the tens digit of v(2)?
1
Let d be 3/(-2)*16/(-12). Suppose 0 = -5*y + 5*k + 110, 0*y - d*k = 4*y - 100. What is the tens digit of y?
2
Let g be (-12)/(-36)*(-1 + -8). What is the units digit of (g + 2)/(1/(-10))?
0
Suppose 0*b = 5*b. Suppose o - m = 4, 3*o - 5*m - 5 - 11 = b. What is the units digit of ((-8)/12)/(o/(-9))?
3
Let c be (-6)/(-5)*(-12 - -7). What is the units digit of 3 - (c/(-3) - 4)?
5
Suppose n + 15 = 4*n. Suppose 0 = 5*a, -n*a = -3*t - t + 4. What is the units digit of t?
1
Suppose 0 = -7*n + 4*n - 6. What is the units digit of (3 + n + -10)/(-1)?
9
Let g be (-1)/((-2)/6 + 0). Let w = -10 - -14. Suppose -g*s + 0*n + 22 = 2*n, 4 = -4*s + w*n. What is the units digit of s?
4
Suppose -5*q = -2*h + 24, h - 4*q = -2*q + 10. Suppose -n - 5*x = -9, h*n + n = -x + 69. What is the tens digit of n?
2
Suppose 0*h = 2*h - 86. What is the units digit of h?
3
Suppose -4*h - 351 = -8*q + 3*q, -q = -5*h - 66. What is the tens digit of q?
7
Let w(a) = a - 3. What is the tens digit of w(15)?
1
Let w = 3 + -5. Let t = 23 + -5. Let q = t + w. What is the tens digit of q?
1
Let m = -5 - -5. Suppose m = -4*p + 56 - 20. What is the units digit of p?
9
Let n(q) = -2*q + 23. What is the tens digit of n(0)?
2
Let b = 59 + -18. What is the units digit of b?
1
Let v = 6 - 6. Suppose v = o + 3*o + 8. Let p(r) = r**2 + 2. What is the units digit of p(o)?
6
Suppose 3*o = 5 + 1. Suppose 0 = -4*b + 3*a + 60, b - 15 = 4*a - o*a. What is the tens digit of b?
1
Suppose -10 = -r + 3. Suppose -5*t - r + 48 = 5*g, -5*g - 21 = -3*t. Suppose -1 = -j + t. What is the units digit of j?
8
Let s(i) = i**3 + 8*i**2 + 8*i + 4. Let l be s(-6). Suppose -2*t = -t - l. What is the tens digit of t?
2
Suppose 0 = -2*c - 0*c + 10. Suppose 276 - 67 = 5*d - 4*n, -c*n - 46 = -d. What is the units digit of d?
1
Suppose -2*k - 5*j = 5, 0 = -k - 0*j + j - 6. Suppose -12 = -0*d + 3*d. Let c = d - k. What is the units digit of c?
1
Suppose -2*r = -0*r - 24. Let c = 23 - r. What is the units digit of c?
1
Suppose -2*h + 54 = h. Let f = 19 + -8. Let g = h - f. What is the units digit of g?
7
What is the units digit of (-6)/(-12) + 554/4?
9
What is the units digit of (-1 - 29)/((-18)/96)?
0
What is the units digit of (23 - -2) + (-1)/1?
4
Let l be (