108, r = -6*g + 5*g + 46. What is the units digit of r?
1
Let r = -166 + 301. What is the hundreds digit of r?
1
Let y(n) be the second derivative of n**4/12 + n**3/3 + n**2/2 - n. Let q be y(-3). Suppose -q*m + 3*c = -90, -m - 4 + 15 = 5*c. What is the units digit of m?
1
Suppose 0 = h + 5, 6*h = 5*i + 3*h - 20. What is the units digit of i?
1
Let y(w) = -w**2 - 4*w + 4. Let x be y(-4). Let j(c) = c - 1 + 0*c**2 - c**2 + x*c. What is the units digit of j(2)?
5
Let c(v) = -2*v**2 - 17*v + 5. Let i be c(-8). Suppose 0 = -5*q - 9 + 24, b + q - i = 0. What is the units digit of b?
0
Let l = -27 + 72. What is the tens digit of l?
4
What is the tens digit of 4 + (39 - 2) + 3?
4
Let a(n) be the first derivative of 3*n**2/2 - 2*n - 1. What is the units digit of a(7)?
9
Suppose -2*h + 7 + 23 = 0. What is the units digit of h?
5
Let q(f) be the first derivative of -f**5/60 + 3*f**4/8 - 7*f**3/6 + f**2 + 1. Let o(k) be the second derivative of q(k). What is the units digit of o(7)?
7
Let g(v) = 13 + 2*v + v - v. What is the tens digit of g(10)?
3
Let g(q) be the first derivative of q**3/3 + 2*q**2 - 2*q - 2. What is the tens digit of g(-7)?
1
Let w = -2 - 0. Let c be (-2)/(w*1/(-3)). What is the units digit of (-5 - c) + (9 - 0)?
7
Suppose -26 = -4*l - 5*g + 4, -l + 8 = g. Suppose -s - l = 3*x, 4*s - 4*x - 5 = -13. What is the units digit of 3/2 + (-6)/s?
3
Suppose -a + 12 = 2*a. Let z = -1 + a. Suppose z*k - 22 = -c, -k - 2*c = 2*c - 11. What is the units digit of k?
7
Let j = 19 - 10. What is the units digit of j?
9
Let u be 2/(-3) - (-11)/3. Suppose -u*c = 2*c. Suppose c*x - 15 = -3*x. What is the units digit of x?
5
Suppose -n = 3*z + 46, 4*z - 2*z + 40 = 4*n. Let j be 2/3 + z/(-12). Suppose 4*i - 22 = 2*r, j*i = 2*r - 0*r + 6. What is the units digit of i?
8
Let u be -2*(-1)/2 - -2. Suppose -x = u - 2. What is the units digit of x - 9*(-2)/2?
8
Suppose 25*p + 336 = 29*p. What is the tens digit of (36/8)/(9/p)?
4
What is the tens digit of 5/(20/(-12)) - (-133 + 0)?
3
Let o(i) = i**3 - 12*i**2 + 5*i - 18. Let j(a) = a + 5. Let s be j(7). What is the units digit of o(s)?
2
Let q be (-4)/(-14) + 38/14. Let u = q - -1. Suppose -u*s + 24 = -0*s. What is the units digit of s?
6
Suppose -3*c + 4*m + 0 = -3, 3*m - 1 = -c. What is the units digit of (-2)/(c*(-2 + 1))?
2
Suppose 163 + 45 = n. What is the tens digit of n?
0
Let p(v) = v - 6. Let c be p(5). Let x(q) = q**2 - 5*q + 5. Let u be x(5). Let j = u + c. What is the units digit of j?
4
Let h be 16/(-7) + (-6)/(-21). Let g(m) = -3*m**3 - 3*m**2 - m + 1. What is the units digit of g(h)?
5
Suppose 67 = 5*r - 13. Suppose 44 = -5*x - r. What is the units digit of ((-18)/x)/(6/16)?
4
Suppose 43 = -2*j + 3*j. What is the units digit of j?
3
Let c(k) = k**2 - 3. What is the units digit of c(7)?
6
What is the units digit of ((-326)/3)/(5/(-3) - -1)?
3
Suppose k - 6*k = -15. Suppose 8 = k*t + 2. What is the units digit of t/3 + 4/3?
2
What is the units digit of (-1)/(-3) - (-770)/30?
6
Suppose -4*k + 167 - 43 = 0. Let y = 81 - k. What is the tens digit of y?
5
Suppose o = 3*o - 20. Let x = -3 + o. Let q = x - -2. What is the units digit of q?
9
Let s(k) = k**2 + 8*k - 20. Let q be s(-10). Suppose q = 3*d - 20 - 19. What is the units digit of d?
3
Let u(k) = k - 11. Let x(o) = -o + 12. Let g(i) = -4*u(i) - 3*x(i). Suppose 5*h - d = 4*h + 6, 3*d + 6 = h. What is the units digit of g(h)?
2
Let w = 35 - 20. What is the tens digit of w?
1
Suppose -p + 17 = 2. What is the tens digit of p?
1
Suppose -6*h + 135 = -h. What is the tens digit of h?
2
What is the hundreds digit of (-6 + 5)/(-1) + 340?
3
Suppose -4*i = -8, -4*b + 0*b + 10 = i. Let u = -3 + b. What is the units digit of 9 + (-1)/u*-1?
8
Suppose 8 = -5*y - 22. Let z be 4 + y + 17 + 1. Let m = -8 + z. What is the units digit of m?
8
Let i(t) = -t + 1. Suppose -2*f - 2 = 2*d - 8, -4*d - 16 = -3*f. Let m = 0 + d. What is the units digit of i(m)?
2
Suppose 0 = -2*m + 429 - 95. What is the tens digit of m?
6
Suppose 0 = -3*q - 3*s + 258, -3*q + s = 2*s - 260. What is the units digit of q?
7
What is the units digit of 4/(-14) + (-678)/(-21)?
2
Let s be 14 - 6*4/8. Suppose 0 = -3*k + 2 + 1. Let o = s - k. What is the tens digit of o?
1
Suppose -7*i = -4*i - 51. What is the units digit of i?
7
Let c be -6 + (-7)/(21/(-6)). What is the units digit of 4/16 + (-55)/c?
4
Let p(l) = -l**3 - 7*l**2 - 8*l + 2. What is the tens digit of p(-6)?
1
Let f(c) = 174*c**2 + c - 1. What is the hundreds digit of f(1)?
1
Suppose 67 = 5*x - 233. What is the tens digit of x?
6
Suppose -6 = -6*l + 3*l. Suppose 2*j + 1 = 3. What is the units digit of (j/l)/(2/28)?
7
Suppose 4*s = 4*w + 1428, -s + 0*s = 4*w - 332. What is the hundreds digit of s?
3
Let z(v) = 2*v + 2. Let h be z(6). What is the units digit of 36/h*(-14)/(-3)?
2
Let f(s) = s**2 + 2*s + 5. What is the units digit of f(-3)?
8
Let i = 40 + -3. What is the tens digit of i?
3
Let j = -12 + 12. Suppose -5*d + d + 136 = j. What is the units digit of d?
4
Let j be (0 + 0)/(2/1). Suppose j*q + 20 = 4*q. What is the units digit of (q/(-15))/(1/(-12))?
4
Suppose -3*j = 2*j - 160. What is the tens digit of j?
3
Let a(m) = 3*m**3 - 5*m**2 + m + 3. What is the hundreds digit of a(4)?
1
Let v = -9 - -13. Suppose -u = 3*f - v, -u - 3*u - f = -5. What is the units digit of 2 + (u - -1) + -3?
1
Let i be (-2)/(-9) - (-102)/27. Let c = 6 - i. Suppose p + c = 3*p. What is the units digit of p?
1
Suppose 3*r - 2*o = 2*o - 67, 0 = 3*o - 12. Let f be 0*2/(-4) + r. Let h = -3 - f. What is the tens digit of h?
1
Let n(f) = -f**2 - 25*f - 32. What is the units digit of n(-16)?
2
Let d(h) = h**3 + 18*h**2 - 4*h + 18. What is the tens digit of d(-18)?
9
Let j be 0/((-6)/(-3 + 0)). Suppose 0 = 3*t - j*t - 63. What is the units digit of (-4)/10 + t/15?
1
What is the units digit of 6*(-4)/(-36)*75?
0
Let c = 1 - -1. Suppose 0*b - a = -b + 25, -c*b = 2*a - 46. What is the units digit of b?
4
Suppose 176*p = 175*p + 226. What is the tens digit of p?
2
What is the units digit of (-53)/(-5) + (-20)/(-50)?
1
Suppose -5*m = -3*v - 5, 2*m - m + 6 = 2*v. Let y be ((-4)/(-10))/((-2)/50). What is the units digit of (6/v)/((-3)/y)?
4
What is the units digit of -3 - ((0 - 1) + -3)?
1
Let k(c) = c - 1. Let v be k(6). Let u(z) = -z - 1. Let s be u(-4). Suppose -2*x + 3*x = -v*m + 14, 3*m = s*x + 12. What is the units digit of m?
3
Let q(r) = -8*r + 3. Let g(p) = 8*p - 2. Let a(s) = -4*g(s) - 3*q(s). What is the tens digit of a(-2)?
1
Let y be (-74)/(-26) + (-8)/(-52). Suppose -3*h + 3*g + 21 = 0, -6*h + g + 31 = -y*h. What is the tens digit of h?
1
Suppose -5*r + 4*r = -2*q - 140, -4*r - 188 = 3*q. Let y = -48 - q. What is the units digit of y?
0
Let g = 7 + -4. Suppose -q - 24 = -g*q. What is the units digit of ((-8)/2)/((-8)/q)?
6
Suppose 0 = -m - 3*v - 4, 1 = m + v - 5. Let a = 12 - m. What is the units digit of a?
1
Suppose 5*c - 4*t = 21, -5*t + 6*t - 6 = -c. Let l = c - -11. Suppose l = 2*y - 0*y. What is the units digit of y?
8
Suppose q + 4*f - 43 = 0, -2*f - 6 = -5*f. Suppose 4*o - q = -15. What is the units digit of o?
5
Let v be 4 + (0 + 0 - 0). Let b = v - -1. Suppose -h + b*w + 1 = 2*h, 5*w - 7 = -h. What is the units digit of h?
2
Let n = -5 + 7. Suppose 4*m + 3*w = 25, -n*w + 36 = 5*m - 3*w. What is the units digit of m?
7
Suppose 3*s + 5 - 29 = 0. What is the units digit of s?
8
Let u be 274/3 + 2/3. Suppose -5*j + 21 + 4 = 0. Suppose -j*k + 3 = -u. What is the units digit of k?
9
Suppose 2*d + 2*k = k, -4*k = -d + 9. Let r be ((-3 + 2)/1)/(-1). Let t = d + r. What is the units digit of t?
2
What is the units digit of 1/(-2)*-334 + (1 - 0)?
8
Let g be (0 + -1)/(1/(-4)). Suppose -g*r + 18 = -2*r. What is the units digit of r?
9
Let m be 6*(1 + 30/4). Let p = -36 + m. What is the tens digit of p?
1
What is the units digit of (-24)/(-108) - 446/(-18)?
5
Let v(k) = k - 1. Let f be v(1). Suppose -2*a + 4 = 0, -3*a = -2*r - f*r + 12. Suppose 0*h = h - r. What is the units digit of h?
9
Let k(t) = t + 10. Let j be k(-7). Suppose -3*x - j = -9. What is the units digit of x?
2
Suppose -t + 5*f + 58 = 0, 0 = 3*t - 2*t - 4*f - 54. What is the units digit of t?
8
Suppose -3*f + 84 = 3*d - 6*f, -4*d + f = -106. Let s = d - 14. What is the units digit of s?
2
Let