- -3. Let y = 0 + k. Suppose -60 = d - y*d. What is the units digit of d?
0
Let t(g) be the third derivative of -g**5/60 + g**4/12 + g**3/6 - 9*g**2 - 2. Let i be -2*1*(0 - 1). What is the units digit of t(i)?
1
Suppose -2*r + 10 = 0, -4*p - p + 3*r = 0. Let s be (((-6)/(-9))/((-4)/24))/(-2). Suppose -h - 27 = -n + p*h, 0 = -s*n - 5*h + 93. What is the units digit of n?
9
Let r(s) = s**2 + 3*s - 3. Let i be r(-5). Suppose i*l - 10 = 2*l. Suppose -3*g = 3*v - 15, -l*v + 22 = v - 4*g. What is the units digit of v?
6
Suppose 4*f - 8*f + 12 = 0. Let z(k) = k**2 + 6*k + 2. Let w be z(-5). What is the units digit of -6*(f/2 + w)?
9
Let s(y) = 35*y**2 - 4. What is the units digit of s(-4)?
6
Let y = -36 - -25. Let j(c) be the first derivative of c**4/4 + 10*c**3/3 - 6*c**2 - 10*c - 1. What is the units digit of j(y)?
1
Let f(h) = -2*h**2 + 21*h + 16. Let b be f(11). Suppose 0 = b*s + 91 - 401. What is the tens digit of s?
6
Let b(m) = -m**3 + 7*m**2 - 16*m - 15. Let f(p) = p**3 - 8*p**2 + 16*p + 14. Let o(q) = -6*b(q) - 7*f(q). What is the units digit of o(12)?
8
Let v(t) = 8 + 2*t - 1 + 3*t + 6*t**2 - t**2. Let h be v(-5). What is the units digit of h/6 + 11/66?
8
Suppose 15*v - 25948 + 8368 = 0. What is the hundreds digit of v?
1
Suppose -4 = 3*a + h, 4*a + 0*a - 2 = -5*h. Let g be (2/(-1))/a - -1. Suppose 3*w = 5*o + 74, -g*w + o + o + 44 = 0. What is the tens digit of w?
1
Let y = 5273 - 2734. What is the thousands digit of y?
2
Suppose 0 = 5*t + 296*x - 294*x - 4572, -5*t - x = -4576. What is the tens digit of t?
1
Suppose -6*a - 4*w + 25 = -7*a, 0 = -a + 3*w - 21. Let v be (-123)/(-9) + (-3)/a. Suppose v*q + 64 = 18*q. What is the tens digit of q?
1
Let u(b) = 2*b**2 + 2*b + 4. Let a be u(-5). Let t(q) = -q**3 - 18*q**2 - 17*q - 8. Let p be t(-17). Let h = p + a. What is the units digit of h?
6
Suppose 0 = -2*c + 38 - 24. Suppose 19 = 6*p + c. What is the units digit of p?
2
Let x be 3/9*-29*-6. Suppose -3*m + x = -110. What is the tens digit of m?
5
Suppose -43*i + 17265 = 2645. What is the units digit of i?
0
Let m = 6397 + -4129. What is the thousands digit of m?
2
Let h(v) be the second derivative of -v**4/12 + 3*v**3/2 + 9*v**2/2 - 4*v. Let l be h(8). Let d = l + 8. What is the units digit of d?
5
Suppose -2*d + 4 = -3*r, 3*d - 2 = 2*r + 9. Suppose 17 = 5*j + r. Suppose 5*v = 23 - j. What is the units digit of v?
4
Let r = 416 - -1482. What is the units digit of r?
8
Let m = 25 - 23. Suppose 44 = m*n - 190. What is the hundreds digit of n?
1
What is the hundreds digit of -2*(-223 + -3 - 3)?
4
Suppose 104*s - 116*s + 5928 = 0. What is the tens digit of s?
9
Suppose 9*y - 12*y = -3*b - 1350, y = 2*b + 446. What is the tens digit of y?
5
Let o(r) = r**2 + 14*r + 15. Let i be o(-12). What is the tens digit of (0 + -2 - 14)/(i/36)?
6
Let w be -2*3*(-8 + 10). Let g = 14 + w. Suppose -g*d + 0 = -14. What is the units digit of d?
7
Let f(z) = z**3 + 5*z**2 + 2*z - 5. Let h be f(-4). Suppose 0*c + 6 = 3*c + w, h*c - 6 = 2*w. What is the units digit of 11 - (0 + c - 5)?
4
Suppose c - 1132 = -2*a, -c + 0*c = -4*a + 2258. What is the tens digit of a?
6
Let t(q) = q**3 - 13*q**2 + q + 32. Let d be t(13). What is the units digit of (1 - 10)*(-345)/d?
9
Suppose 1176*h - 1182*h + 12024 = 0. What is the tens digit of h?
0
What is the hundreds digit of -664*21/(-6) + 11?
3
Let n = 116 - -213. Suppose -16 = -4*i, -5*t + i = 5*i + n. What is the units digit of t*1*(-4)/12?
3
Suppose -5*v = 0, 2 = -y - 4*v + 6. Let x = -334 + 492. Suppose -y*b = -x + 34. What is the tens digit of b?
3
Let s = 39 + 9. Suppose -5*d = -3*j + s + 14, -4*d = -3*j + 64. What is the units digit of j?
4
Suppose s - 130 - 275 = 0. What is the hundreds digit of s?
4
Let s be (-50 - -1)/(20/(-8) - -3). Let g = 147 + s. What is the units digit of g?
9
Let o(v) = 5*v**2 - 7*v + 2. Let s be o(2). Let t be 2 - ((-4 - -1) + 0). Suppose -s*m + t = -3*m. What is the units digit of m?
1
What is the tens digit of -1 + 5 - 60467/(-23)?
3
What is the hundreds digit of (120/5)/4 - -299?
3
Let o(n) = -6*n**2 + 32 + 7*n**2 - 3*n - 12*n + 0*n**2. What is the units digit of o(17)?
6
Let l = 3901 - 228. What is the units digit of l?
3
Suppose -7*k = -8*k. Suppose 2*c - 1 = g - k, 0 = -4*c + 4. What is the units digit of 4/g - (-3 + 2)?
5
Let n = -41 - -49. Suppose -n*y = -318 - 66. What is the units digit of y?
8
Suppose 0 + 2 = 2*b. Let k be 8*b/((-4)/4). What is the tens digit of k/12*-48 + -2?
3
Suppose -4*x + 468 = 4*s, -494 = -5*x + 4*s + 100. Let b = -38 + x. What is the units digit of b?
0
Let l(x) = -4*x + 36. What is the tens digit of l(-12)?
8
Let s(o) = -29*o**3 - o**2 + o - 1. Let a(r) = 2*r**2 - 14*r - 2. Let c be a(7). What is the tens digit of s(c)?
2
Let g = -114 - -116. Suppose g*z - 160 = 2*b, -2*z + 4*b = -0*z - 154. What is the tens digit of z?
8
Let u = -63 + 1077. What is the thousands digit of u?
1
Let w(k) = -k**2 + 160 - k**2 + k**3 + 3*k**2 - k - 2*k**2. What is the hundreds digit of w(0)?
1
Suppose -4*y = 2*y - 1596. Let t = y + -135. What is the hundreds digit of t?
1
Let n = -114 - -13. Let s be (-4 - 2)/((-4)/408*-9). Let b = s - n. What is the units digit of b?
3
Let q(n) = n**3 - 3*n**2 + n - 3. Let l be q(3). Suppose 4*i + 524 = 4*v, 3*v + 3*i + 188 - 605 = l. What is the units digit of v?
5
Suppose -5*d - 2*z + 8169 = 0, -12 = 29*z - 25*z. What is the units digit of d?
5
Let d be 2/(-4) + (-350)/(-28). Suppose 0 = -5*c - 3*k + 622, -3*c = -5*k - d - 334. What is the hundreds digit of c?
1
Suppose -5*g - 4*w = 96, -w = -2*g - 0*g - 41. Let v = g + 37. What is the units digit of v?
7
Let s(v) = v - 19. Let w be s(21). Suppose 138 - 32 = w*r. What is the tens digit of r?
5
Let v(c) = c**3 - 9*c**2 - 9*c - 6. Let j be v(10). Suppose 4*p = -0*p - j*u + 32, -32 = -3*p - u. What is the units digit of p?
2
Let v(b) = -b**2 - 9*b - 8. Let c be v(-7). Let x(q) = c*q - 17*q + 5*q + 8*q + 20. What is the tens digit of x(18)?
5
Let f(d) = -d**3 - 2*d**2 - 2. Let z be f(2). Let h be (-54)/(-13) + z/117. What is the units digit of (-24)/(-14) + h/14?
2
Let w be ((-1)/(-2))/(1/24). Let b(u) = 2*u**2 - u + 2. Let c be b(1). Suppose s - c - w = 0. What is the units digit of s?
5
Let z be -2 + 0 + 2 + 1. Let f(l) = 8*l. Let h be f(3). Let u = h - z. What is the tens digit of u?
2
Let m(z) = 62*z**2 + 15*z**2 - z - 12*z**2. Let a be m(-1). Suppose -54 = -4*g + a. What is the tens digit of g?
3
Let g(m) = -m**2 + 12*m + 24. Let r be 11 + -2 + (1 - 4). Suppose 3*v - r = 24. What is the units digit of g(v)?
4
Let j be 4 + 3 + -3 + -1. Let l(x) = -6 + 16 + 4*x - j - 4. What is the tens digit of l(5)?
2
Suppose -c - 4 + 1 = 0. Let i be c/(-2)*20/6. Suppose 79 = 4*h - i*t, -h + 3*h + 5*t - 77 = 0. What is the tens digit of h?
2
Let u(j) = -4*j - 8. Let g be u(4). Let f be 0/(-1)*(-12)/g. Suppose -4*d + 111 = -y, f = -2*d + 7*d + 3*y - 126. What is the tens digit of d?
2
Let b be ((-68)/(-51))/(1/(-12)). Let g = 3 - b. What is the tens digit of g?
1
What is the tens digit of (99/(-22))/(-9)*(0 - -946)?
7
Let c be (0 + 1)*(1 + 2). Let g = c + 6. Let u = 32 - g. What is the tens digit of u?
2
Let w = -188 - -606. What is the tens digit of w?
1
Let l(b) = b**3 + 7*b**2 + b - 6. Suppose n + 6*n = -21. What is the units digit of l(n)?
7
Suppose 3*a - 5*x - 48 = 0, 5*a - 4*x - 76 = -9. Let b = 14 + a. What is the tens digit of b?
2
Let f = 1002 + -522. What is the tens digit of f?
8
What is the hundreds digit of ((-154)/5)/((-4)/110)?
8
Suppose -62*s = -57*s - 8595. What is the tens digit of s?
1
Suppose 1419 = u - 3*x, -6*x = -2*u - x + 2835. Suppose -13*c + u = -3*c. What is the tens digit of c?
4
Let l be -4*163/(-3) + 14/21. Let r = l - 114. What is the units digit of r?
4
What is the tens digit of (48/144)/(0 - (-1)/13401)?
6
Let b = -1482 + 3433. What is the thousands digit of b?
1
Let j(h) = 2*h**2 - 8*h + 5. Let s be j(6). Let b = -1163 - -1147. Let c = s + b. What is the tens digit of c?
1
Suppose 0*d - 102 = -d + 3*f, 106 = d - 2*f. Let g = d - 69. What is the units digit of g?
5
Let i = -72 + 166. Let f = -51 + i. What is the units digit of f?
3
Let s(d) = -128*d - 54. What is the units digit of s(-2)?
2
Let t = -39 + 309. Suppose 4*s = -s + t. What is the units digit of s?
4
Suppose -3*