 d*f = 6*f + 243. What is the units digit of f?
1
Let v(w) = 23*w**3 + 3*w**2 - 5*w + 5. Let k(j) = 34*j**3 + 5*j**2 - 8*j + 8. Let z(d) = 5*k(d) - 8*v(d). What is the units digit of z(-1)?
5
Suppose 0*a - 100 = -4*j - 2*a, -a = 3*j - 74. Let m = 43 - j. Suppose -3*c = -m - 116. What is the units digit of c?
5
Let u(h) = 307*h - 21. Let a be u(3). Suppose -a = -6*g - 0*g. What is the units digit of g?
0
What is the hundreds digit of (-64)/(-24)*4683/14?
8
Let q(f) = 2*f**2 + 9*f + 5. Let b(r) = -4*r + 34. Let s be b(10). What is the units digit of q(s)?
3
Suppose -2*a = 3*a - 20, -2*a + 137 = 3*g. Let r = -40 + g. Suppose -5*b + 35 = 2*w, -r*b - 12 = -7*b. What is the tens digit of w?
1
Let l(r) = 3*r**2 - 28*r - 13. What is the tens digit of l(12)?
8
Let l(i) = i - 6. Let j be l(11). Suppose -j*d + 2*d = -s - 180, 3*s + 296 = 5*d. What is the tens digit of d?
6
Suppose 10*s = 8162 - 892. What is the tens digit of s?
2
Let t = -37 + 52. Suppose -z = 5*l + t, -3*l = -2*z - z + 27. What is the units digit of (l/10)/(5/(-300))?
4
Suppose 0 = -5*b + 3*l + l + 1082, 3*l + 437 = 2*b. Let n = -81 + b. What is the units digit of n?
3
Suppose 0 = -2*o + 19 - 7. Let g = -7 + o. What is the units digit of 4 - (0 - (4 + g))?
7
What is the tens digit of ((-1)/(-2))/(18/4644) - 5?
2
Let i(r) = -199*r**3 + 3*r**2 + 6*r + 2. What is the tens digit of i(-1)?
9
Let x = -550 - -1114. What is the units digit of x?
4
Let y(g) = -g**2 - 11*g + 11. Let r be y(-12). What is the tens digit of 1377/17 - r/(-2)*-2?
8
Suppose -4*v + 109 = -11. Suppose 33*i = v*i + 258. What is the tens digit of i?
8
Suppose 2*s - 6*s = -4*b - 64, -5*b - 8 = s. Suppose 4*p - 4*c - s = -0*p, 1 = -c. Suppose 5*t + 3*g - 49 = 0, 5*g - 5 = -t + p*g. What is the tens digit of t?
1
Suppose 2*m - 5904 = -2*u, 2301 = u - 2*m - 663. What is the hundreds digit of u?
9
Let g = 23 - 23. Let w(f) = -f**3 + f**2 - f + 117. Let l be w(g). Suppose 44 = 3*u + 2*a - 13, -l = -5*u + 4*a. What is the units digit of u?
1
Let p(u) = -3*u**3 - 10*u**2 - 16*u - 23. What is the hundreds digit of p(-6)?
3
What is the tens digit of (-18450)/(-14) - (-15)/105?
1
Let y be 22 - (-5)/(15/(-3)). Let b = y + 8. What is the units digit of b?
9
Let t be (-6)/(-9) + 526/3. Let n = -107 + t. What is the units digit of n?
9
Let r be (-7)/(-21) + (-1)/3. Suppose -3*s - 13 = c - r*s, -s + 1 = 3*c. Suppose 5*j - 110 = i + c*i, -2*i = 5*j - 85. What is the units digit of j?
9
Let u(z) be the second derivative of -z**4/3 - 31*z**3/6 + 5*z**2 - 38*z. What is the units digit of u(-6)?
2
Suppose 3*d - o = 5339, -2*d = 16*o - 18*o - 3566. What is the hundreds digit of d?
7
Suppose 0 = -o + 3*f + 2449, 3*o - 6*o + 7412 = 4*f. What is the hundreds digit of o?
4
Let k be (2 - 0)/(4/14). Let s(v) = -v**2 + 6*v - 2. Let l be s(k). What is the units digit of -30*(0 + 6/l)?
0
Let a be 145*1/(52/8 + -4). Suppose 3*n - n = -2*o + 122, -o + 2*n + a = 0. What is the tens digit of o?
6
Let z = -305 + 531. Let y = z - -66. What is the units digit of y?
2
What is the tens digit of 23/(-69) - (-3014)/6?
0
Suppose -3*w = n - 340, 0 = -4*n - 2*w + 1479 - 79. What is the tens digit of n?
5
Let s = -25 + 28. Let i(x) = -3 + 0 - x**s + 2*x + x**2 + 3. What is the units digit of i(-3)?
0
Let a be 2/((-6)/(-2) + -1). Let t be (0 - 2)/(a/(-2)). Suppose d + 5*z = 57, -4*d + 3*d - t*z = -55. What is the tens digit of d?
4
Suppose w + 5*g - 9 = 0, 9*w - 132 = 4*w + 4*g. Let f = 12 - 4. Let n = w + f. What is the tens digit of n?
3
Suppose -d = -2*o + 1493, 4*d = -4*o + 1263 + 1741. What is the tens digit of o?
4
Let c(q) = q - 13. Let i be c(8). What is the units digit of i/3*(11 - 77)?
0
Let n(v) = 25*v - 4. Let z(i) = -2*i**2 + 11*i - 9. Let d(w) = -w**2 + 6*w - 4. Let k(m) = -5*d(m) + 2*z(m). Let h be k(8). What is the units digit of n(h)?
6
Let f(x) = -x**3 + 16*x**2 - x - 12. What is the hundreds digit of f(8)?
4
Let q be 6/(-8) + 3159/52. Suppose -a - 2*a = -q. Suppose 16*f + 192 = a*f. What is the units digit of f?
8
Suppose -k + 3*g = 28, 3*k - 5*g = -2*g - 108. Let f = 68 + k. What is the units digit of (-20)/(-7)*f/8?
0
Let x = -17 - -37. Let d = -18 + x. Suppose -83 = d*w - 201. What is the units digit of w?
9
Suppose 1613 = 16*g - 2579. What is the tens digit of g?
6
Suppose -3*k - 2*g + 30 = -5*g, 4*k - 2*g - 30 = 0. Suppose -3*z + 3*q = -132 - 30, -z = k*q - 36. What is the tens digit of z?
5
Suppose -4*q + 415 = 63. Let g = 13 + -5. Suppose 0 = -6*h + g*h - q. What is the units digit of h?
4
Suppose 0 = -4*m + 7*m + r - 2884, -5*r = 3*m - 2864. What is the hundreds digit of m?
9
Let k(n) = -673*n + 59. What is the hundreds digit of k(-2)?
4
What is the hundreds digit of -4*51/(-30)*(380 + 5)?
6
Suppose -87*h + 16824 = -79*h. What is the tens digit of h?
0
Let m be (-46)/(-10) + 8/20. Suppose m*n - 430 = -110. Suppose 2*c = -0*c + n. What is the units digit of c?
2
Suppose l = -3*x + 55 - 5, 3*x - 2*l = 44. Suppose 3*d - x = d. What is the units digit of d?
8
What is the hundreds digit of (-6)/(-9) + 0 - (-5284)/12?
4
Suppose 5*g + 4*p = -110, 4*g - 2*p + 0*p = -88. Let w(s) = -3*s + 4. What is the units digit of w(g)?
0
Let o = 18 + -13. Let x(n) = o + 9 - n**2 + 12 + 15 - n**3. What is the units digit of x(0)?
1
Let g(h) = 15*h**2 + h + 44. What is the units digit of g(7)?
6
Let i(w) = 640*w**3 - 15*w**2 + 13*w. What is the tens digit of i(1)?
3
Let y be (-4)/(-6)*(4/4 + 2). Suppose 2*m - 2 = 3*m, 0 = 4*i - y*m - 644. What is the units digit of i?
0
Let t be (4/8)/(1/14). Let h(q) be the third derivative of -q**5/60 + 5*q**4/12 - q**3/2 + q**2 - 4*q. What is the tens digit of h(t)?
1
Let j = -1328 - -2120. Suppose -j = -5*l + 3*w - 107, l + 2*w - 124 = 0. What is the tens digit of l?
3
Let p be 2/(-4)*(-4 + -4). Suppose j = -1 + p. Suppose 4*b - 94 = -2*w, -w - b = j*b - 57. What is the units digit of w?
7
Suppose 1837 = 4*o + v, 4*o + 3*v - 843 - 996 = 0. What is the tens digit of o?
5
Suppose -6 = 5*q + 2*x + 19, 0 = 5*q - 3*x + 50. Let b be 0/1 + q + -8. What is the tens digit of (-6)/b + 552/20?
2
Let h = 29 - 32. What is the hundreds digit of h/(-5) - 1 - 7464/(-60)?
1
Let l(f) = -3 + 2*f - 5 + 0*f - 1. Let d be l(8). Suppose -d = 3*b - 64. What is the tens digit of b?
1
Suppose -5*l = -18*i + 22*i - 2144, 0 = -3*i + 4*l + 1608. What is the units digit of i?
6
Suppose 2*x - 5*r = -r - 30, 37 = -3*x + 4*r. Let o(w) = -w**3 - 5*w**2 - 4*w - 8. Let f be o(x). Suppose -44 = 2*q - f. What is the tens digit of q?
3
Let h = 72 - 69. Suppose 0 = -3*y - h*p + 6 + 21, y + 5*p + 7 = 0. What is the tens digit of y?
1
Let l(s) = -3*s**2 - 9*s - 12. Let j be 7*1/((-28)/24). Let x be l(j). What is the units digit of (x/9)/((-2)/3)?
1
Let d = 238 + 1164. What is the tens digit of d?
0
Let o = 349 + -107. What is the hundreds digit of o?
2
Let u = -708 + 1073. What is the units digit of u?
5
Let z = -16 + 21. Suppose x - z*x = 4*r - 1196, 4*r - 3*x = 1168. What is the tens digit of r?
9
Suppose 0 = -3*o + 5*r - 5, 2*o - 4*r + 4 = -2. Suppose o*h + x - 1 = 52, -x = -3*h + 35. What is the tens digit of h?
1
Let q = -74 + 49. Let k = q - -28. What is the units digit of k?
3
Suppose 5*m = 7*m - 10. Let x be (92/5)/(m/25). Let v = -50 + x. What is the units digit of v?
2
What is the tens digit of (62/51 - 10/(-85))*486?
4
Let j(f) = 2*f**2 - 5*f. Suppose 31 = 9*c - 23. What is the tens digit of j(c)?
4
Suppose 3*y - 4*q = 415, -8*y + 421 = -5*y - q. Let l = 226 - 143. Let f = y - l. What is the tens digit of f?
5
Let j(v) = -3*v**2 + 11*v - 5. Let u(r) = -2*r**2 + 6*r - 2. Let c(y) = 2*j(y) - 5*u(y). What is the units digit of c(3)?
2
What is the units digit of (9198/12)/(2/4)?
3
Suppose 73 = r - 55. Let v = r - 80. What is the tens digit of v?
4
Suppose -5*d - 1 - 9 = 0, 4*y - 1756 = 2*d. What is the tens digit of y?
3
Let o(a) be the second derivative of -5*a**3/3 + 3*a**2 + 6*a. Let d(u) = u. Let b(m) = 6*d(m) + o(m). What is the units digit of b(-7)?
4
Let z(s) = s**3 - 5*s**2 + 7*s - 1. Suppose -5*w - 7 + 32 = 0. Let h be z(w). Let r = -13 + h. What is the units digit of r?
1
Let i(o) = o**3 - 7*o**2 - 8*o + 3. Let u be i(8). Suppose -k - u*k = -12. Let d = 15 + k. What is the tens digit of d?
1
Suppose -4*a + 2*v = -296, 2*a - 5*v = 159 - 19. Suppose