et a = -136 + 120. Let l = 6 - 0. What is the units digit of a/l*9/(-6)?
4
Suppose -2*a + 32 = 2*j - 0*j, -3*j + 5*a + 48 = 0. Suppose -2*d + 3*r = 10, -3*r - r + j = 0. What is the units digit of d?
1
Suppose -56 = -9*d + 7*d. Let t = d + -20. What is the units digit of t?
8
Suppose -24*f + 30*f = 1608. What is the hundreds digit of f?
2
Let u(h) = h**3 - 9*h**2 + 6*h + 9. Let c be u(8). Let i(k) = k**3 + 8*k**2 + 9*k + 2. Let x be i(c). What is the tens digit of -172*(2 - (-27)/x)?
4
Let a be 2/11 - 2370/(-33). Suppose -4*q = -a + 20. What is the tens digit of 193/13 - (-2)/q?
1
Let q = -791 - -1381. What is the units digit of q?
0
Let i(p) = 8*p + 9 + 0*p + 2*p**2 + 15*p. What is the hundreds digit of i(-19)?
2
Let q = -287 + 673. What is the tens digit of q?
8
Let k(r) = 31*r - 193. What is the tens digit of k(24)?
5
Let x(v) = -61*v - 163. What is the tens digit of x(-11)?
0
Suppose 0 = 2*t - v - 5, 2*v = t - 1 - 0. Suppose -r = 1, -3*o - 10 - 2 = t*r. What is the units digit of (-6)/(-9) + (-19)/o?
7
Let r(t) = t**3 - 3*t**2 + 4*t - 3. Let w be r(3). Let j be 1*(-1)/(1/(-15)). Let n = j + w. What is the tens digit of n?
2
Suppose 0 = d + 2*d. Suppose -m + 3*m - 6 = d. Suppose 2*t - 2*p = -t + 38, -m*t - p + 53 = 0. What is the tens digit of t?
1
Let p be ((-36)/(-21))/(-1*(-10)/875). Suppose -15*a = -17*a + p. What is the tens digit of a?
7
Let r be ((-5)/(-15))/(2/(-42)). Let w be (-16)/4 - (r - 1). Suppose 3*o = 0, w*o + 12 = z - 17. What is the tens digit of z?
2
Let o(z) be the first derivative of z**3/3 + 9*z**2/2 + 3*z + 39. What is the tens digit of o(7)?
1
Let n(d) be the third derivative of -d**4/2 - d**3/6 - 8*d**2. Suppose 0 = -5*z + 5*x + 10, -3*z + 5*x - x + 10 = 0. What is the units digit of n(z)?
3
Let h be (-6)/(-4) + ((-84)/(-8))/3. What is the hundreds digit of (-1 - 131/h)/((-24)/120)?
1
Suppose -n + 16 = -4*n - 4*t, -5*t - 20 = 0. Let x(a) = 3*a - 4. Let y be x(4). Suppose n*r = -4*r + y. What is the units digit of r?
2
Suppose 4*h + 0*y = 5*y + 3652, -4*h + y = -3668. What is the hundreds digit of h?
9
Let t be (-15 + 12)/(6/(-8)). Suppose 2*a + 44 = t*o, 4*o - 2*a - 33 = o. Let m = o + -8. What is the units digit of m?
3
Let d = -8 - -8. Suppose -3*m + 19 = z, d*m = 3*z + 2*m - 92. What is the tens digit of z?
3
Let m(f) = 6*f**2 - 10*f + 17. Let t be m(5). Suppose -t = -3*d + 177. What is the units digit of d?
8
Let q(v) = -34*v - 55. What is the tens digit of q(-9)?
5
Suppose 0 = -6*y + 14*y. Let s = y - -25. What is the tens digit of s?
2
Suppose 0 = -2*l - 2*r, r = 3*l - 2*l. Suppose -4*u = -l*u - 64. What is the tens digit of u?
1
Let d(n) = n**2 - 7*n - 9. Let l be d(12). Suppose -2*j + l = j. What is the units digit of j?
7
Let c be (10/(-6))/((-2)/6). Suppose 6*q = c*q + 130. What is the hundreds digit of q?
1
Suppose 337 = 7*p + 113. Suppose 0 = -16*b + 17*b - p. What is the units digit of b?
2
Let b(i) = 3*i**2 - 44*i + 13. Let w(n) = 2*n**2 - 29*n + 9. Let p(x) = -5*b(x) + 7*w(x). What is the tens digit of p(16)?
1
Suppose -l + 192 + 80 = 0. What is the tens digit of l?
7
Let a = 40 - 120. What is the tens digit of (a/6)/5*-24?
6
Suppose z = 13*h - 18*h + 586, h - 2439 = -4*z. What is the hundreds digit of z?
6
Let w(m) = m**2 - 10*m + 12. Let q be w(9). Suppose q + 0 = b. Suppose 0 = -4*r + 2*f + 40, 0 = -r + 6*f - b*f. What is the units digit of r?
2
Let o be (-810)/(-20)*(-2)/3. Let m be 4/(8/(-82))*1. Let k = o - m. What is the tens digit of k?
1
Suppose -151*p + 154*p = 1365. What is the units digit of p?
5
Suppose 12*x = 13*x - 41. Suppose t + 4*u = -17 + x, 0 = -5*t + 3*u + 5. Suppose -3*v + 2*o = -47 - 106, t*v = -4*o + 204. What is the tens digit of v?
5
What is the hundreds digit of ((-31878)/35)/(-9)*5/2?
2
Suppose -2*g + 3*y - 87 = -456, 2*y - 6 = 0. What is the units digit of g?
9
What is the hundreds digit of 3/6 - (-1305)/2?
6
Suppose -u + 14 = -0*u - 3*x, 0 = -4*x - 12. Suppose -u*t = -0 - 170. What is the tens digit of t?
3
Let q = 22 + -37. Let y(m) = -m**2 - 29*m - 5. Let x be y(-29). Let k = x - q. What is the tens digit of k?
1
Suppose 4968 = 304*x - 302*x. What is the hundreds digit of x?
4
Suppose -a - 19 = -5*p + 113, 0 = a - 3*p + 132. Let o = a + 222. What is the units digit of o?
0
Let c = -420 + 729. What is the hundreds digit of c?
3
Let g(x) = -2*x**2 + 9*x - 7. Let k be g(4). What is the units digit of 9/(k - -28*3/27)?
1
Let f = 2093 - 894. What is the thousands digit of f?
1
Suppose -1728 - 1452 = -6*n. What is the units digit of n?
0
Let t(c) = c + 10. Let w be t(-6). Suppose -4*u + 776 = -3*v, 7*u - w*u - 3*v - 579 = 0. What is the hundreds digit of u?
1
Let j(i) = -322*i**3 + 10*i**2 + 17 + 323*i**3 + 4*i**2 - 2*i. What is the units digit of j(-14)?
5
Let f(h) be the first derivative of h**3/3 - h**2 + 6*h - 3. Let q be f(-5). Suppose -v - 2*c = -6*c - 17, 5*v + 2*c - q = 0. What is the units digit of v?
9
What is the tens digit of (-11)/4*(-1147 - -14 - 11)?
4
Let u(l) = 2*l**2 - 2*l - 7. Let y be u(9). Suppose 0 = w - 2*k - 49, -3*w - 6*k + y = -2*k. Suppose 0 = -3*s + 160 + w. What is the tens digit of s?
6
Let r be -62*9/(-18) - 1*4. Suppose 29*z - 394 = r*z. What is the hundreds digit of z?
1
Let l(t) = -15*t + 1. Let z be l(1). Let x = z - -17. Suppose 40 = x*h + o + 6, 0 = 4*h - o - 36. What is the tens digit of h?
1
Let b = 28 - 18. Suppose 0 = 5*f + 5*n - b, 4*f = 4*n - 0*n + 48. What is the units digit of f/28 - (-486)/8?
1
What is the units digit of ((-6622)/(-110))/(2/10)?
1
Let d(a) = 41*a**3 - 5*a**2 + 4*a. What is the units digit of d(2)?
6
Suppose -123 = -12*r + 11*r. Let u = r - 49. What is the tens digit of u?
7
What is the tens digit of (16/(-7))/((-6)/2877)?
9
Let s = 55 - 79. Let h(l) = l**3 + 23*l**2 - 26*l + 21. What is the tens digit of h(s)?
6
Suppose 0 = -3*y - 0*y + 12. Suppose -2*n - 15 = -5*p, 4*p + y*n - 3*n - 25 = 0. Suppose -4*k + 3*l = -69, -5*k + p*l + 45 = -40. What is the units digit of k?
8
Let m(i) be the third derivative of i**8/6720 - i**7/840 + i**6/180 + i**4/12 + i**2. Let n(t) be the second derivative of m(t). What is the tens digit of n(3)?
1
Suppose -3*t = 4*x - 3, 3*t = -x + 9 + 3. Let j = -18 - -23. Suppose -82 - 148 = -5*c - t*y, -y = j*c - 230. What is the units digit of c?
6
Suppose -4*x = -x - 324. Let k = 226 - x. What is the units digit of k?
8
Let t = 3040 - -106. What is the tens digit of t?
4
What is the hundreds digit of (50 - 343)*(-3 - -1)?
5
Let f = 5504 + -3275. What is the thousands digit of f?
2
Let p = -23 - -26. Suppose -3*a = 5*v + 20, -4*a - 3 = -p*v - 15. What is the tens digit of (26/v)/(7/(-14))?
1
Let f(r) = r**3 + r**2 + 1. Let l(k) = -k**3 - 3*k**2 - 3. Let j(n) = -2*f(n) - l(n). Let m be j(0). What is the units digit of (-1)/(4/(-137 + m))?
4
Suppose 2*j - j = 3. Suppose j*t - 3 = -2*a - 7, 5*a - 4 = -4*t. What is the tens digit of ((-42)/a)/((-2)/4)?
2
Let m = -66 + 70. Suppose -3*w + 63 + 99 = 0. Suppose 3*u + 4*y - 35 = 0, 3*y = -m*u + 5*y + w. What is the units digit of u?
3
Let o = 33 - 18. Suppose -o = -3*q - 3*a, 2*q + 15 = 6*q + 3*a. Suppose -5*d + 60 = -q*d. What is the units digit of d?
2
Let h be 2/(-9) - (160/9)/(-8). Suppose 2*d = -2*g + 20, -4*g = -h*d - 14 - 32. What is the tens digit of g?
1
What is the thousands digit of 1895 + -1 + 60/4 + -15?
1
Let q(a) = a**2 + 6*a + 7. Suppose -5*h - 10 = 4*n, -17 = 3*n + 2*h - 3*h. What is the units digit of q(n)?
2
What is the units digit of 25576/68 + (-2)/17?
6
What is the units digit of (-11740)/(-40) - (-2)/4?
4
Let s be 2 + (1 - 2) + 0. Let q be (s - (-4)/(-1)) + 5. Let j = 9 - q. What is the units digit of j?
7
What is the hundreds digit of 8553/33 + 18/(-99)?
2
Suppose -k = y - 1341, 23*y + 6697 = 5*k + 24*y. What is the units digit of k?
9
Let v(l) = -l**3 + 4*l**2 + 2*l + 2. Let b be v(4). Let s be (4 + 1)*(-2)/(-2). Suppose s*n + 235 = b*n. What is the tens digit of n?
4
What is the hundreds digit of (1 - 473)/(2/(14/(-7)))?
4
Suppose -2*x + r - 4*r + 601 = 0, -12 = -4*r. Suppose 2*y - x = -4*j, 56 = -0*j + j - 4*y. What is the units digit of j?
2
Let u be -3*(-2 + 1 + 6/(-9)). Suppose 222 = g - u*n, -n + 270 = 5*g - 814. What is the tens digit of g?
1
Suppose 0 = -3*m - 4*a - 45, -16 = -2*m + 3*m + a. Let p = 34 + m. Suppose