+ 8. Let c(f) = d*q(f) + 2*p(f). What is the tens digit of c(9)?
3
Let s(q) = -q**3 + 8*q**2 - 7*q + 7. Let r be s(7). Suppose 0 = 5*y - 8 - r. Suppose y*c - 6*c = -51. What is the units digit of c?
7
What is the hundreds digit of (-47473)/(-29)*1/1?
6
Suppose -4*s + 18 = 2*z - 8, 3*s - 5*z + 13 = 0. Let k be (-12)/(-9) - s/(-6). Suppose -k*b + b = 3*u - 7, 9 = -3*u. What is the tens digit of b?
1
Suppose -3*n - 404 + 1975 = -4*y, 0 = -n + 2*y + 521. What is the hundreds digit of n?
5
Let q(t) = t**2 - t + 1. Let o be q(2). Let c(f) = -f**3 - f**2 + f - 2. Let r be c(o). What is the units digit of (-2)/14 - 1300/r?
7
Suppose -4*t - 2*b - 26 = 0, 3*b + 2*b - 12 = t. Let y(v) = -v**3 - 5*v**2 + 4*v + 10. What is the units digit of y(t)?
0
Let f = 411 + -283. Let v = f + -75. What is the tens digit of v?
5
Suppose 0 = 2*c - s + 5*s - 154, 3*c = -4*s + 229. What is the tens digit of c?
7
Let p(k) = 9*k + 1. Let q be p(6). Let b = q + -31. What is the units digit of b?
4
Let g(a) = -a**2 + 5*a + 2. Let f be g(5). Suppose -f*n = -6*n - 20. Let t = 14 + n. What is the units digit of t?
9
Suppose 3*j - 2*z - 467 = 0, -3*j + 0*z - 3*z = -477. Suppose -u = -3*k - 150, u + 7 - j = -k. What is the units digit of u?
0
What is the hundreds digit of 624*(-6)/36*-28?
9
Let v be (-5)/(-25) + (-246)/5. Let b = -38 - v. What is the units digit of b?
1
Suppose 20*g = 8*g + 23400. What is the units digit of g?
0
Suppose 23192 + 4423 = 21*z. What is the tens digit of z?
1
Suppose 15754 = 17*j - 35093. What is the thousands digit of j?
2
Suppose -p = -15 - 56. Let d = -3 + p. What is the tens digit of d?
6
Let l be 7 - (4 - (3 + -2)). Suppose -2*j = l*p - 96, -3*p = 15 - 3. What is the units digit of j?
6
Let b = 940 + -655. Suppose 3 = 3*n, 4*n + b = -4*v + n. Let x = -46 - v. What is the units digit of x?
6
Let c(m) be the third derivative of 67*m**4/12 - 47*m**2. What is the units digit of c(2)?
8
What is the hundreds digit of (67*-1)/(27/18 + -2)?
1
Let o(l) = 5*l**2 + 3*l - 2. Let n be o(-3). Suppose -28 = -q - 2*k, q = -0*q + k + n. What is the units digit of q?
2
Let p(i) = -i**2 - 8*i - 13. Let q be p(-5). Suppose -g = -3*m - 15, g - q*m + 5 - 21 = 0. What is the tens digit of g?
1
Suppose 6*s - 5*s + 2*y = 72, -4*s + 5*y = -262. What is the units digit of s?
8
Let p = -7 - -106. Let k = -40 + p. What is the tens digit of k?
5
Let d(q) = 2*q**2 + 3*q - 10. Let v(f) = -f**2 + 14*f - 34. Let a be v(10). What is the units digit of d(a)?
0
Let j = 197 + 207. What is the hundreds digit of j?
4
Let s(j) be the first derivative of 3*j**2/2 - 5*j + 7. Let c be s(2). What is the units digit of ((-21)/3)/(c/(-1))?
7
Suppose 3*r - 10 = 5*o, -17*r + 18*r + o + 2 = 0. Suppose r = -8*d - 13*d + 2793. What is the units digit of d?
3
Let o = 6061 + -3837. What is the hundreds digit of o?
2
Let o be 2*(0 + (-5)/(-2)). Suppose 5*r - o = -4*s, r + 16 - 3 = 2*s. Suppose -w - 32 = -s*w. What is the units digit of w?
8
Let z(d) = 20*d + 736. What is the units digit of z(0)?
6
Let g(d) be the second derivative of -d**3/6 - 7*d**2/2 + 5*d. Let w be g(-10). Suppose -4*u - 19 = -j, j - 2*j - w*u = -19. What is the units digit of j?
9
Suppose -6*z + 3*z - b + 17 = 0, -z = -2*b + 6. Suppose z*l - 380 = -3*d, 4*l = -2 - 2. What is the tens digit of d?
2
Let g be (-10768)/(-7) + (-2)/7. Suppose -4*j - 5*d = -1180, -d + g = 5*j + 42. Suppose -5*l - 105 + j = 0. What is the units digit of l?
9
Let c = 1771 + 266. What is the units digit of c?
7
Suppose 2*j - j + 2 = 0, -4*u = -5*j + 18. Let v = 13 + -3. Let z = v + u. What is the units digit of z?
3
Let t(i) be the second derivative of -i**3/3 - 3*i**2 + i. Let f be t(-6). What is the units digit of (1 - 1/2)*f?
3
Suppose -4*a - 5*g = 10, a + 3*g + 8 = 2. Suppose h - i - 51 = -5*i, -i + 5 = a. What is the tens digit of h?
3
Let x(f) be the second derivative of f**4/4 + f**3/2 + 3*f**2/2 - 6*f. Let k be x(-9). Suppose -87 = -6*w + k. What is the tens digit of w?
5
Let g(v) = 43*v**2 + 16*v + 42. What is the units digit of g(7)?
1
Suppose 2563 = 4*i - 1753. What is the units digit of i?
9
Let l = -9 + 5. Let h = 46 + l. What is the units digit of h?
2
Let l(j) = -5*j - 4. Let k(u) be the third derivative of u**6/120 + 7*u**5/60 - u**4/3 - 5*u**3/6 - 5*u**2. Let x be k(-8). What is the units digit of l(x)?
1
Let d(g) = -g**3 + 11*g**2 - 6*g + 15. What is the tens digit of d(9)?
2
Suppose -96 = -5*n + n. Let p(b) = b**2 + 4*b + 2. Let h be p(-4). Suppose -z + 3*s = -13, -n = -5*z + h*z + 4*s. What is the units digit of z?
4
Let a(k) = 23*k**3 + k**2 + 4*k - 7. Let r be a(2). Suppose 69 = o - r. What is the tens digit of o?
5
Let b(f) = 56*f + 272. What is the tens digit of b(40)?
1
Let y(h) = h**2 - 10*h + 9. Let m be y(9). Suppose 0 = 4*z + 2*r - 284, m = 2*z + 4*r - 8*r - 142. What is the tens digit of z?
7
Let t(n) = 8 + 34*n + 4 - 12*n - 13. Let y be t(5). Suppose 3*h = y - 13. What is the tens digit of h?
3
Let o be 5*(48/20)/3. What is the units digit of (40*-2 + o)*-1?
6
Let i(o) = 4*o + 3. Let m be i(4). What is the units digit of (-4 - 0) + m + 2?
7
Let g = 172 + 163. Suppose 0 = -7*z + g + 848. What is the tens digit of z?
6
Let z = -13 + 17. Let a(d) = 18*d + 36. What is the hundreds digit of a(z)?
1
Suppose -v = -5*b - 561, -3*v - 8 - 4 = 0. Let k = -50 - b. What is the units digit of k?
3
Suppose -13*c = -4*c + 81. What is the tens digit of (48/5)/(c/(-30))?
3
Let v = 2063 - -4283. What is the tens digit of v?
4
Suppose 7*w - 315 = 2*w. Suppose -5*m = -0*m - 15. Suppose 3*y - y - w = d, 0 = m*y - 3*d - 99. What is the units digit of y?
0
Let a(d) = 20*d + 1. Let o(p) = -40*p - 3. Let i(l) = 7*a(l) + 3*o(l). Let w be i(4). What is the units digit of w/(-15)*20/(-4)?
6
Let c(b) = -3*b**2 + 91*b - 32. What is the hundreds digit of c(25)?
3
Suppose -3*m - 5*r - 482 = -162, -5*r + 10 = 0. Let p = m - -181. What is the units digit of p?
1
Suppose 15*p = -906 + 28881. What is the tens digit of p?
6
Let j = 318 + 556. What is the units digit of j?
4
Let o be (-1)/(-3)*504/(-24). Let n = o + 20. Let z = 19 - n. What is the units digit of z?
6
Let j(s) = 22*s**2 - 19*s - 66. What is the hundreds digit of j(16)?
2
Let s(r) = 166*r + 408. What is the thousands digit of s(7)?
1
Let y(h) = -h**2 - 10*h - 11. Let k be y(-10). Let j = k + 25. What is the tens digit of j?
1
Suppose 4*f - 587 = 3*o - 2767, 2*o - 2*f = 1452. What is the hundreds digit of o?
7
Let u be 3 + (0/2 - (-1)/1). Suppose 6*b + 2*m - 10 = u*b, 2*m - 22 = -5*b. What is the units digit of b?
4
Let r(f) = f**2 + 2*f + 7. Let l be r(5). Suppose -9 = 3*s, -4*s + l = 2*g - 46. What is the tens digit of g?
5
Let q = 76 + -33. What is the units digit of q?
3
Let i(b) = 2*b**2 - 7*b + 13. Suppose -5 = -2*a + 3*o - 9, -12 = -3*o. What is the tens digit of i(a)?
1
What is the tens digit of 4*7/4*45?
1
What is the hundreds digit of 7 + -1 + (454 - -7)?
4
Let j(y) = y**2 + 12*y - 5. Let w be 285/4 - (-9)/12. Suppose -2*b - 8 = 0, -2*r - 2*r - w = 3*b. What is the units digit of j(r)?
0
Let y(q) = -2*q**2 + 17*q - 19. Let p(a) = a**2 - a + 1. Let m(i) = 3*p(i) + y(i). Let s be m(-13). What is the units digit of (3 - 1) + 1 - s?
2
Let j(t) = -173*t - 13. What is the hundreds digit of j(-1)?
1
Suppose -3*t + t = 0. Suppose -y + 78 = -t. Let r = -38 + y. What is the tens digit of r?
4
Let r(s) = s + s + 2*s**2 + 28 - 17 + 8*s. What is the tens digit of r(-6)?
2
Suppose 3*c = w + 17, w + 2*c - 3 = -0*c. Let f(p) be the third derivative of -p**4/24 - p**3/6 - p**2. What is the units digit of f(w)?
4
Suppose -14*m + 23*m = 12555. What is the units digit of m?
5
Suppose 764 = 127*z - 123*z. What is the hundreds digit of z?
1
Let r be (4/(-5))/(4/(-10)). Suppose 2*d - 4*h - 16 = 0, -2*d + 0*h - 8 = 2*h. Suppose d = 2*i - r*w - 10, 0*w = -4*w + 8. What is the units digit of i?
7
Suppose -2*l - 3*x = 2, 4*l = 4*x + x + 40. Suppose -90 = -l*m - 4*m. Suppose 8*o - m*o = -126. What is the tens digit of o?
6
Suppose -x - 20 = -3*v, 5*x - 5 - 9 = -4*v. Let w be (6/(-3))/(v/(-12)). Suppose -2*m + w = -0*m. What is the units digit of m?
2
Suppose 0 = 3*f + g + 5 - 73, 18 = f + 5*g. What is the units digit of f?
3
Suppose 0*i - 3*a - 541 = -i, -5*a - 1639 = -3*i. What is the tens digit of i?
5
Suppose 