u) be the third derivative of -u**6/20 + u**5/30 + u**4/8 + u**3/3 - 3*u**2. What is the units digit of k(z)?
2
Let r(g) = -2*g**2 - 16*g + 13. Let l(p) = p**2 + 17*p - 13. Let d(j) = 3*l(j) + 2*r(j). What is the units digit of d(12)?
1
Let m(h) = 4*h**3 - 14*h**2 - 3*h - 9. Let o be m(6). Suppose -c = 3*q - 5*c - 340, 3*q + 3*c = o. What is the units digit of q?
2
Suppose 189*r = 187*r + 4452. What is the units digit of r?
6
Let f(x) = x**2 + 8*x + 7. Let o(u) = -u**2 - 8*u - 8. Let l(a) = -6*f(a) - 5*o(a). What is the units digit of l(-6)?
0
Let b(w) = w**3 + w**2 - 5*w + 3. Suppose 0 = -y + 6*y - 2*n + 16, n = -2. Let h be b(y). Let g = -5 - h. What is the units digit of g?
0
Suppose 0 = -3*k + x + 1745 + 5448, 0 = -4*k + 3*x + 9599. What is the tens digit of k?
9
Let w(f) = -7*f**3 - 2*f**3 + 11*f**2 - 11*f + 8*f**3 + f - 10. What is the tens digit of w(9)?
6
Let l(w) = -w + 15. Let u(i) = -13*i**2 - i. Let b be u(1). What is the tens digit of l(b)?
2
Let a(s) = 16*s**2 + 0*s + s + 40*s**2. Suppose 411*p - 399*p = 12. What is the tens digit of a(p)?
5
Let s(u) = 1 + 50*u**2 - 40*u**2 + 4 - 4 - 6*u. Let n be s(3). Let l = n + -27. What is the units digit of l?
6
Let d = 7 + -5. What is the tens digit of ((-1534)/(-39))/(d/3)?
5
Suppose w + 14 = -f + 41, -115 = -4*f + 3*w. Suppose 0 = 6*k - f + 4. What is the units digit of k?
4
Let s(w) = -3*w + 2. Let g be 1/(-1 - 7/(-8)). Let i be s(g). Let c = 5 + i. What is the tens digit of c?
3
Suppose -3*q = -5*n + 70, -5*n - q - 3*q + 35 = 0. What is the tens digit of (3586/(-4))/n*(-2)/1?
6
Suppose -6*f = -9603 + 2589. What is the thousands digit of f?
1
Let t be (-1)/(10/4)*-10. Suppose t*a - 210 = -3*g + 241, -3*g = -4*a - 491. Let z = g + -104. What is the tens digit of z?
5
Let g(h) = -14*h**2 - 2*h + 2. Let s be g(2). Let c = s - -81. What is the units digit of c?
3
Suppose 3*c - 922 = 5*u, -3*c + u + 914 = -0*u. What is the hundreds digit of c?
3
Suppose -4*f + 60 = -2*f. Let c = -185 - -172. Let v = f + c. What is the units digit of v?
7
Suppose -20*o + 16*o - 336 = 0. What is the units digit of (-3)/((o/(-520))/(-7))?
0
Let v(i) = i**3 + i**2 + 5*i - 8. Suppose -2*m = 2*u - u - 10, -4*m + 5*u = -6. What is the tens digit of v(m)?
9
Let s = -1227 - -1652. What is the tens digit of s?
2
Let d be (-23*2)/(-10 - -8). Suppose d*r + 14 = 25*r. Suppose r*w - 228 = 59. What is the units digit of w?
1
Suppose 3*r - 2*n - 31 = 0, -49 = -5*r + 3*n + n. Suppose r = 3*h - 17. What is the units digit of h?
0
Let d be (-1086)/(6/(-3)) - -2. Suppose d = -3*m + 8*m. What is the units digit of m?
9
Let p(z) = 2*z - 9. Suppose 5*t + 2*f = 24, -4*t - 4*f = -0*f - 12. Let j be p(t). Suppose 0*n - g = 2*n - 3, 0 = n - 4*g + j. What is the units digit of n?
1
Let w(r) = -6*r + 36. Let d(p) = p**2 - 6*p. Let a be d(3). What is the units digit of w(a)?
0
Suppose -4*f = -f - 345. Suppose 4*y - f = -y. Let c = y + -2. What is the units digit of c?
1
Let q = -5 - 1. Let s(l) = l**3 + 7*l**2 + 7*l + 6. Let u be s(q). Suppose -2*k + 15 + 25 = u. What is the tens digit of k?
2
Suppose -3*b + 2 = -1. Let y = -3 - b. What is the units digit of (14 + y)*5/2?
5
Let f(k) = k**3 + 2*k**2 + 4*k + 4. Let c be f(-2). What is the tens digit of c + 3584/24*3/2?
2
Suppose -k = -5*k + 24. Suppose 4*j = 3*t - k, -t + 3 = 4*j + 1. Suppose t*g = -g + 39. What is the tens digit of g?
1
Let a be (4/(-3))/((-4)/(53 - 5)). Suppose 2*s - b - 90 = -a, -3*s + 5*b = -104. What is the tens digit of s?
3
Suppose 0 = 12*h - 6*h - 354. Suppose -5*u + 80 = -4*v, -2*v - 40 = -0*u + 2*u. Let m = v + h. What is the units digit of m?
9
Suppose -214*i - 18306 = -223*i. What is the thousands digit of i?
2
Suppose -4*l - 30 = -106. Let h = l + 129. What is the hundreds digit of h?
1
Let i = 2942 + -1967. What is the units digit of i?
5
Let b(k) = k**3 + k**2 + 4*k - 12. What is the hundreds digit of b(5)?
1
Let k = 70 - -245. What is the hundreds digit of k?
3
Let o(t) = 96*t - 814. What is the thousands digit of o(31)?
2
Let t be (0 + 2)*24/(-48). What is the tens digit of t/(1/(-38 - -5))?
3
Suppose 2*w + 3 = w. Let i be 10/w*(-3)/(-2). Let x(b) = -b**3 - 4*b**2 + 3*b + 6. What is the tens digit of x(i)?
1
Suppose -399 = -5*j - 239. What is the tens digit of j?
3
Let p(h) be the second derivative of -7*h**3/6 - 27*h**2/2 - 3*h. What is the units digit of p(-8)?
9
What is the units digit of ((-65)/(-75) - 1) + (-70623)/(-135)?
3
Suppose -4*n - 24*n + 2940 = 0. What is the hundreds digit of n?
1
Suppose 17*d = 16*d + 44. Suppose d*y - 38*y = 1482. What is the hundreds digit of y?
2
Suppose -1100 = -5*v + 720. Suppose 5*y - v = y. What is the tens digit of y?
9
Suppose -2*s = 4*z - 4, -5*s - 5*z = -8 - 7. What is the units digit of 9/(16/s + -3)?
9
Let z(b) = 24*b - 3. Let s = 4 - -3. Let v = -4 + s. What is the tens digit of z(v)?
6
Let s = -3961 + 6037. What is the tens digit of s?
7
Suppose 2*d + 5*c = 2077, 952 = 2*d - c - 1131. What is the tens digit of d?
4
Suppose -2*a - 2*z + 60 = 0, -2*a + z + 65 = 4*z. Let i = 86 - a. What is the units digit of i?
1
Suppose 7*l + 4*l - 1441 = 0. What is the hundreds digit of l?
1
Let n = -4460 - -6593. What is the tens digit of n?
3
Let h = -2 - -4. Suppose 62 = i - h*t, -i - 5*t + 86 - 17 = 0. What is the units digit of i?
4
Let i be (-8 - -17)*(-2)/(-6). Suppose 8 = 2*h, 0 = -u - 4*h + i*h + 49. What is the units digit of u?
5
Let z be (-4 - -3)/(5/(-15)) - 23. What is the tens digit of (-154)/(-2)*z/(-14)?
1
Let w(l) = 5*l**2 - 73*l + 97. What is the units digit of w(24)?
5
Let k(f) = -70*f + 24. Let r be k(-18). Suppose r - 283 = -7*m. Let j = 200 + m. What is the tens digit of j?
5
Suppose -r - 4*n + 15 + 7 = 0, -3*r = -4*n - 130. Let g = -1 + -8. Let q = r - g. What is the units digit of q?
7
Suppose -3*u + 215 = 2*u. Let g = u + -28. What is the tens digit of g?
1
Suppose -17*h + 3*h + 11060 = 0. What is the units digit of h?
0
Suppose -5466 = -5*p + y, -43*p + 2*y = -39*p - 4374. What is the hundreds digit of p?
0
Suppose -j - 8185 = -2*f, -4*j = 4*f + 7459 - 23859. What is the tens digit of f?
9
Suppose -4*y + 2645 = 5*b, 5*y + 5*b - 3*b - 3285 = 0. What is the tens digit of y?
5
Suppose -t + 285 = 2*t - 2*u, -303 = -3*t - 4*u. Let b = -161 + t. Let y = b - -118. What is the units digit of y?
4
Let a be 1 + (-2)/3*-84. Let f = a + -28. What is the tens digit of f?
2
Let q(s) = -2*s. Let o be q(1). Let f(y) = 18*y**3 - 2*y**2 - 2*y + 1. Let i be f(o). What is the units digit of (-1)/(-5) + i/(-15)?
0
Suppose 9*w - 20 = 5*w. Suppose 0 = w*a, -2*a + 3 = -5*b + 313. What is the units digit of b?
2
Suppose 7018 = 3*y + n, 5*y - 9965 = 2*n + 1750. What is the thousands digit of y?
2
Let b(w) = -w**2 + 9*w - 3. Let y be b(8). Suppose y*u = 3*u - 4*q + 100, -236 = -5*u + 4*q. What is the tens digit of u?
4
Suppose -771 = -2*d + 17*w - 12*w, 2*d = 2*w + 786. What is the tens digit of d?
9
Let h(o) = -o**3 + 9*o**2 + 9*o + 11. Suppose -6*q + 39 = -21. What is the units digit of h(q)?
1
Suppose 5*n + 5*l + 45 = 0, 0 = -2*n + l + 2*l + 7. Let c(m) = m**3 + 3*m**2 - 4*m - 7. Let p be c(n). What is the units digit of ((-17)/3)/(p/21)?
7
Let m be (-54)/(-4) + 4/(-8) + 0. Suppose 0 = -2*n + 17 - m. What is the units digit of n?
2
Let k(d) = -11*d + 19. Let u = 82 + -86. What is the units digit of k(u)?
3
What is the hundreds digit of ((-75)/24 - -3) + 8930/16?
5
Suppose -22*r = -86*r + 9088. What is the units digit of r?
2
Let l be 5/(10/8)*(-51 - 1). What is the hundreds digit of 0 - 4 - l/2?
1
Suppose 0*z = -s + 3*z + 3086, 3*s - 3*z - 9270 = 0. What is the units digit of s?
2
Suppose -2*t - 2 = 0, 4*n + 3*t + t - 1244 = 0. Suppose -4*y - 2*y = -n. What is the units digit of y?
2
Suppose 4*k = 4*t + 368, -3*k - 4*t - 45 + 286 = 0. Suppose -3*m + 3*b + k = -2*m, 79 = m - 5*b. What is the units digit of m?
9
Let q be -201*(5/(-30) - 1/6). Let c = q + 20. What is the tens digit of c?
8
Suppose 0 = 23*g - 11*g - 9288. What is the hundreds digit of g?
7
Suppose 4*s - 5*d = 51, 0*s + 5*s + 2*d - 72 = 0. Let l = -4 + s. What is the units digit of l?
0
Let l be (1/(-3))/((-3)/9). Suppose 12 = d - l. What is the tens digit of d?
1
Let q = -19 + 21. Suppose 2*v - q*p - 432 = 0, -532 + 100 = -2*v - 3*p. What is the units dig