 - 15. Let f be k(13). Let g be (12/(-2))/(4/f). Suppose -177 = -5*z - g*o - 31, -3*z = 4*o - 92. What is the units digit of z?
8
Let y(b) be the first derivative of b**2/2 + 12*b + 6. Let i be y(-7). Suppose 62 = i*a - 53. What is the units digit of a?
3
Let c = 860 + -226. What is the units digit of c?
4
Let a(k) be the third derivative of -k**5/60 + k**4/2 + k**3 + 9*k**2. What is the tens digit of a(7)?
4
Suppose 6*k - 5940 = -4*k. What is the hundreds digit of k?
5
What is the hundreds digit of (-11281)/(-7) + 51/119?
6
Suppose 23*r = 3870 + 1857. What is the units digit of r?
9
Suppose 0 = -v + 4*r + 54, -5*r = -5*v + 329 - 29. Let y = 3 - v. Let a = -30 - y. What is the tens digit of a?
2
Let b(v) = v + 17. Let c be b(-12). Suppose -c*m + 5 + 20 = 0. Suppose y - 12 = -m*h, -y - 8 = -3*h - 2*h. What is the units digit of h?
2
Let b(o) = 5*o - 2. Let m be b(1). Let k be ((-1)/1 - -1) + m. Suppose -38 = -k*d + 16. What is the units digit of d?
8
Let v(y) = y**2 + y - 4. Let d be v(-3). Suppose -d*k - 3*k = 4*h - 115, 2*k - 165 = -5*h. What is the units digit of h?
5
Let z(d) = -d**3 - 4*d**2 + 3*d + 3. Let c be z(-5). Suppose -2*x = 3*u - 193, c = 4*x + 5. What is the units digit of u?
3
Let v(l) = 40*l**2 + 2*l + 2. Let d be v(4). Suppose 8*h = d - 34. What is the units digit of h?
7
Let o be 4 - (-94 + 3)/1. Suppose -4*p + o + 25 = 0. Let m = 76 - p. What is the units digit of m?
6
Let q = -9 - -14. Let w = 5 - q. Suppose -3*s = -k - 27, w = 3*s - s - 4*k - 28. What is the units digit of s?
8
Let l(m) = -38*m + 11. Let v(o) = -60*o + 16. Let w(t) = -8*l(t) + 5*v(t). Let i = 3 - -3. What is the units digit of w(i)?
6
Let j(y) = 48*y**2 + 18*y - 22. What is the units digit of j(-6)?
8
Suppose -4*t - 8 - 7 = 3*m, m = -5. Suppose -15 = -d - t. Suppose 3*r - 3*c = d, 2 + 2 = -2*c. What is the units digit of r?
3
Suppose -5380 = 5*i - 15*i. What is the hundreds digit of i?
5
Let s = -23 + 26. Suppose q - 2*j - 12 - 69 = 0, 0 = s*q - j - 238. What is the units digit of q?
9
Let r be (-1 + -2 + 2)*10. What is the units digit of 116*(45/r)/(-9)?
8
Suppose -6*v + 5*v - 5195 = -o, -5*o = 5*v - 25945. What is the units digit of o?
2
Suppose -5*j = -11 - 4. Suppose 0 = -j*b + b + 2. Suppose -5 = -2*t - b, 3*q - 3*t - 117 = 0. What is the units digit of q?
1
Let j(m) = m**2 - 14*m + 19. Let b(n) = n - 1. Let x(p) = 4*b(p) + j(p). What is the tens digit of x(11)?
2
Suppose 2*n + 4*k = 34, 5*n - k + 5*k - 97 = 0. Let l = -7 + n. What is the tens digit of (288/(-84))/((-1)/l)?
4
Let d(p) = 266*p**3 - 3*p + 3. Let r be d(1). Suppose r = 2*w - 4*v - 74, -2*v = -2*w + 336. What is the units digit of w?
6
Let l(w) = 2*w**2 - w - 1. Let b(n) = -n + 1. Let v be b(3). Let m be l(v). Let i = 16 + m. What is the units digit of i?
5
Let k = 33 - 9. Suppose 2*s = 5*s + 4*a - 64, -2*s + k = -2*a. Suppose 4*i + 0*u = -4*u + s, 0 = 4*i + 3*u - 17. What is the units digit of i?
5
Let d = -584 - -1118. What is the units digit of d?
4
Suppose -4*x = x - 5*q - 5, -q = -5*x + 21. Suppose 2*g - x*g + 171 = 0. What is the units digit of g?
7
Suppose -3*t + 8 = -4. Suppose -2*y = 3*j - 265, -4*j - y = -t*y - 359. What is the units digit of j?
9
Let l = 108 - 55. Suppose 0 = -20*z + 19*z + 3. Let x = l - z. What is the tens digit of x?
5
Let t = 38 - 35. Suppose -72 = -t*k - 24. Suppose 12*v = 13*v - k. What is the units digit of v?
6
Suppose q = -3*q + 340. Let o(b) = b**2 + 5*b + 10. Let s be o(-4). Suppose p - q = -5*f + s*p, p + 101 = 5*f. What is the tens digit of f?
2
Let z(f) = -f**3 + 36*f**2 - 98*f + 16. What is the tens digit of z(33)?
4
Let z(a) = -8*a - 1. Let k be z(-1). Suppose p + 11 = -k. What is the units digit of (-20)/(-3)*p/(-4)?
0
What is the hundreds digit of 11*(2 - 6 - -36)?
3
Let n = -1 - -21. Let v be 88/n + 6/(-15). What is the tens digit of (v/6)/((-4)/(-108))?
1
Suppose -1 + 11 = -5*l. Suppose 2*v - 3*k = 31, -3*v - v + k = -47. Let f = l + v. What is the units digit of f?
9
Let m(n) = -n**3 + 10*n**2 - 5*n + 4. Let x be m(9). Suppose 0 = 5*o - x - 380. What is the tens digit of o?
8
What is the tens digit of (166/8)/(-7*(-8)/2016)?
4
What is the tens digit of (-4)/24*-6 + 560?
6
Let k = 6018 + -3601. What is the thousands digit of k?
2
Let z(s) = -s. Let w(r) = -r**2 + 16*r. Let j(b) = w(b) + 5*z(b). Let m be (-3)/(99/(-30) + 3). What is the tens digit of j(m)?
1
Let a(g) = -g**2 + g + 12. Suppose -21 = -3*b - 3*f, 3*b + 3*f = 8*b - 35. Let p be a(b). What is the units digit of (-6)/p + 4/5?
1
Let m(d) = -2*d**2 - 56*d + 20. What is the units digit of m(-27)?
4
Let g(z) = -z**2 + 10*z + 13. Let f be g(11). Suppose -f*n = n - 90. Suppose j - 6*j = -n. What is the units digit of j?
6
Let z(d) = d**3 - 7*d**2 + 11*d - 1. Let h be z(7). Let w(o) = 20*o + 2. Let n be w(-2). Let f = h + n. What is the tens digit of f?
3
Let f(u) = 266*u**3 - 4*u**2 + 5*u - 1. What is the tens digit of f(1)?
6
Let a(n) = -2*n**2 + 19*n - 47. Let t be a(3). Let p(j) = 0 - 1 - 7*j - 9. What is the units digit of p(t)?
6
Let o = 53 + -20. Let p = 7 + o. What is the tens digit of (12/5)/(6/p)?
1
What is the hundreds digit of 60/9*(-2)/5*-489?
3
Let h be ((-24)/2)/(36/(-96)). Let p be (-3)/((-2)/(h/12)). Suppose -3*u + 257 = p*n, 4*n = -3*u - u + 336. What is the tens digit of u?
7
Suppose 0 = -39*u + 5997 - 1902. What is the units digit of u?
5
Let n = -99 + 145. Let x be (-25 + -10)*(-4)/10. Suppose n = -12*o + x*o. What is the units digit of o?
3
Let z(s) = s**3 - 3*s**2 - 7*s - 4. Let r be z(-2). What is the tens digit of (-3 - 45/r)*70?
0
Let n be 0 - 2 - (-44 - 3). Let m = 69 - n. What is the units digit of m?
4
Let v = -33 + 25. Suppose -3*o - 2*y = 20, 0*y + 5 = -2*o - 3*y. Let n = v - o. What is the units digit of n?
2
Let c = -16 - -12. Let l be 4/(c*(-2)/232). Suppose 0 = -4*t - 4*g + l, 0*g + 89 = 3*t + 4*g. What is the tens digit of t?
2
Let f(w) = -2*w**3 + 41*w**2 - 19*w - 18. Let n be f(20). Suppose 4*z - 3*z = 34. Suppose -88 = -3*o - g, n*o - o + 5*g = z. What is the tens digit of o?
2
What is the units digit of 138/(-4)*(-414)/23?
1
Let h be ((-52)/(-65))/((-9)/5 + 2). Suppose -135 = -x + h*b, 4*b + 10 = -b. What is the hundreds digit of x?
1
Let t = -54 + 95. Suppose 54 = 2*l + 2*s, 5*s - 33 - 48 = -3*l. Let g = t - l. What is the units digit of g?
4
Let s(h) = 3*h**3 + 2*h**2 + h. Let u be s(2). Suppose -4*i + 316 - 276 = 0. Let l = u + i. What is the tens digit of l?
4
Suppose -l = 3*u - 1531 + 340, -3*l + 5*u + 3629 = 0. What is the tens digit of l?
0
Let n be ((-85)/15)/((-4)/24). Let l = n - -42. What is the tens digit of l?
7
Suppose 5*r = r + 20, -5*u + 2*r + 985 = 0. Let s = u - 89. What is the tens digit of s?
1
Let z(d) = d**3 + 10*d**2 - d - 10. Let b be z(-10). Suppose b*t = -5*t + 15. Suppose 3*o + 2*h = 56, -t*h - 34 + 1 = -2*o. What is the units digit of o?
8
Suppose -i = 2*i - j + 5, 0 = 2*i - j + 3. What is the units digit of (7 + i)/((-15)/(-6))?
2
Suppose 444*x + 1512 = 445*x. What is the tens digit of x?
1
Let f(a) = -2*a**2 - 34*a - 8. Let y be f(-17). Let p = y + 47. What is the tens digit of p?
3
Suppose -9 = 2*z - 31. Suppose 7*t + 348 = z*t. What is the tens digit of t?
8
Suppose -970 = -3*c + 4*p + 840, 4*c - 2372 = -5*p. What is the hundreds digit of c?
5
Let q(l) = 3*l - 15. Let x be q(4). Let b(z) = -39*z + 13. What is the units digit of b(x)?
0
Suppose 2*y - 5*z - 553 = 0, -119*z + 1398 = 5*y - 116*z. What is the hundreds digit of y?
2
Suppose 6*q = 10*q - 92. Let f = q + 76. What is the units digit of f?
9
Suppose 0 = -68*c + 72*c - 760. Let a = c + -101. What is the tens digit of a?
8
Let d be ((-27)/(-18))/(3/14). Let o(p) = p**2 - 8*p + 7. Let i be o(d). Suppose k + i*k = 2. What is the units digit of k?
2
Suppose 91 = 2*w - w. Suppose -5*n + w = -24. What is the units digit of n?
3
Suppose 8*n - 20 = 44. Suppose -3*g - u = -226, 0 = 3*g - n*g - u + 376. What is the units digit of g?
5
Suppose 0 = -3*w - u + 3644, 35*u - 40*u = 20. What is the hundreds digit of w?
2
Suppose 0 = -5*m - 4*k - 92, -m - 21 = -4*k + 7. Let h = 50 - m. What is the tens digit of h?
7
What is the tens digit of (-1)/(14/204)*-21?
0
Suppose 6*p - 70 = p. Let b(j) = 4*j + 14. Let r be b(-3). Suppose -r*d + p = 5*o, 3*o = 1 + 5. What is the units