24 = -6. Let k be (-2)/r - (-28)/6. What is the units digit of 0 - (k/12 + (-20)/6)?
3
Let q(w) be the first derivative of -w**4/12 + 5*w**3/2 + 3*w**2 - 17*w - 17. Let x(b) be the first derivative of q(b). What is the units digit of x(8)?
2
Suppose -9*z + 2*z = -191184. What is the units digit of 1/6*z/8?
9
Suppose -8 = f + 3*f. Let w be 0/((-4 - f)/1). Suppose -7*v + 83 = -2*v - 3*j, w = -4*v + 2*j + 68. What is the units digit of v?
9
Suppose 0 = 11*n + 341 - 286. What is the units digit of (537/n)/(0 + (-8)/40)?
7
Suppose -4*w + 4884 = -7596. What is the thousands digit of w?
3
Let r(d) = 4*d + 5. Let y be 1/((-13)/52*4/(-58)). Suppose p - y = -p + 5*i, -79 = -5*p - 4*i. What is the units digit of r(p)?
1
Suppose -129 = 5*k - 4*p, -3*k = 3*p - p + 73. What is the tens digit of k/20*(-5)/((-20)/(-48))?
1
Suppose -5*z = 2*t + 4, z + 4*z - 8 = 4*t. Let y be z + 5/15*3. What is the tens digit of 162/2 + y + 2 + -2?
8
Let m = -4 + 11. Suppose 9*d = m*d. Suppose -2*y + 101 + 86 = 3*r, y - 5*r - 61 = d. What is the tens digit of y?
8
Suppose 1 - 25 = -8*z. Suppose z*f + 5*q - 35 = 0, 3 = f + 2*f - 3*q. Suppose 4*a - 175 = 3*x - 563, 0 = f*x + a - 662. What is the hundreds digit of x?
1
Let f(k) = 235*k**2 - 24*k - 133. What is the units digit of f(-8)?
9
Let v(f) = 32*f**2 + 3*f - 3. Let n be v(1). Suppose -3 = -n*a + 31*a. Suppose 2*x + 0*x + 3*s = 37, 3*x = -a*s + 48. What is the tens digit of x?
1
Let a be 7*4/56 - (-26)/(-4). Let r be 1/(-6) - 193/a. Let q = 2 + r. What is the units digit of q?
4
Let d(k) = 14*k**2 + 3 + 7*k**2 + 9*k - 7*k**2 - 31. What is the units digit of d(-11)?
7
Suppose -766*s - 2*h - 75520 = -770*s, -4*h = 2*s - 37770. What is the ten thousands digit of s?
1
Let s(k) = -k**3 + 13*k**2 - 21*k - 26. Let u be s(11). Let x(y) = 5*y**2 - 30*y - 62. What is the units digit of x(u)?
3
Suppose -21*y = 19326 - 79554. What is the tens digit of y?
6
Let j(r) = -5*r**2 - 5*r - 6. Let g be j(-3). Suppose i + 64 = 9*i. What is the units digit of i/(-36) - 1268/g?
5
Let w(l) = -4*l - 13*l**3 + 7*l**3 + 7*l**3 - l**2 + 284. What is the units digit of w(0)?
4
What is the thousands digit of (7/4 - (-6)/(-3)) + 1147899/124?
9
Let t(v) = -4104*v**3 - 7*v**2 - 17*v - 19. What is the thousands digit of t(-2)?
2
Suppose -94*v + 58*v + 144540 = 0. What is the thousands digit of v?
4
Let f be 151560/(-75)*60/(-8). Suppose -9*s + f = 4149. What is the thousands digit of s?
1
Let h(s) = s**3 + 2*s**2 - 6*s - 2. Let k(m) = -27*m**3 - 1 + 26*m**3 - 1 + 7. Let t be k(0). What is the units digit of h(t)?
3
Suppose -12*o + 3*o - 828 = 0. Let h = 120 + o. What is the units digit of h?
8
Let p(x) be the third derivative of -x**6/40 - x**5/15 + 5*x**4/24 - 25*x**3/6 - 101*x**2. What is the tens digit of p(-7)?
7
Suppose 292745 = -142*i + 3*i + 2209972. What is the tens digit of i?
9
What is the thousands digit of 11/(121/57244) - 13?
5
Let a = 532 + -357. Suppose -179 = -3*o - 2*c - 42, 4*o = 5*c + a. Let r = 65 + o. What is the tens digit of r?
1
Suppose 29 = 9*n + 101. What is the hundreds digit of ((-764)/n)/(3/24)?
7
Let w = -11 + 11. Suppose w = -4*y - 20 - 4. Let s(h) = -7*h + 14. What is the units digit of s(y)?
6
Suppose 4*o - 3 = 3*o. Suppose r + 32 = 4*b - o*r, 0 = -4*b + 2*r + 40. Let i(a) = -a**2 + 26*a + 12. What is the hundreds digit of i(b)?
1
Suppose 19 = -3*p - 8. What is the units digit of (-114)/(-19)*((-1761)/p - 0)?
4
Suppose 0 = l - 0*l + 904. Let h be l/6 - 20/(-30). Let q = h - -281. What is the units digit of q?
1
Suppose v - 2*m + 7 = -0*m, 0 = 5*v + 5*m + 5. Let a be 6/(-1)*2/v. Suppose 3*r - f = 199, 5*f = a*r - 116 - 142. What is the units digit of r?
7
Let t(l) = -2*l - 24. Let b be t(-16). Let s be (6/9)/(2 + b/(-3)). What is the units digit of 1 - (-10 - -9)*(-15)/s?
6
Let r = -4010 + 12483. What is the thousands digit of r?
8
Let w(x) = 52*x - 72. Let g be w(22). What is the hundreds digit of (-9)/27 - g/(-3)?
3
Let p(z) = 3*z**2 - 44*z + 34. Let o = 819 - 785. What is the thousands digit of p(o)?
2
Let v = 193 - -93. Suppose -2*l = -15 - 5. Suppose 0 = -l*c + 746 - v. What is the units digit of c?
6
Let p = -728 + 1453. Suppose c - 177 = -4*d, d = 3*c + c - p. What is the units digit of c?
1
Let w = -1468 - -747. Let o = w - -1075. What is the units digit of o?
4
Let q = -10618 + 17726. What is the hundreds digit of q?
1
What is the thousands digit of (-1459368)/(-16) + 0 + 0 + 12/(-24)?
1
Let n(s) = -5*s**3 - 2*s + 86. Let q be n(0). Suppose -u + q = 4*i - 119, 4*i + 197 = u. What is the tens digit of u?
0
Let c = 101 + -96. Suppose -2*a - 363 = -c*w - 1523, 0 = 4*a + w - 2276. What is the hundreds digit of a?
5
Suppose 4*u - 3*r = 1290, -3*u + 1288 = u - 2*r. Suppose 489*x - 557*x + 272 = 0. Suppose q + 6*s - 81 = 4*s, -x*q + u = 5*s. What is the units digit of q?
9
Suppose 2*j + 151 = 537. Suppose 5*v + 665 + 104 = 4*s, v = s - j. Suppose 0 = -8*c + 244 + s. What is the tens digit of c?
5
Suppose 0 = -4*u - 2*t - t + 8765, -3*u + 5*t + 6552 = 0. Suppose -3*x + 4*d - 639 = -2836, -3*x + 2*d + u = 0. What is the hundreds digit of x?
7
Let v(i) = -i**2 - 7*i - 6. Let d = 23 - 21. Let w be 2/8*-10*d. What is the units digit of v(w)?
4
Let r = -103 + 107. Suppose -r*v = -4*w + 24, 3*v + 8 + 4 = 0. What is the tens digit of w/(-18) - (-109)/9?
1
Let n = 2185 + -226. Suppose -y - 1566 = -5*y - q, 5*y + 2*q - n = 0. What is the units digit of y?
1
Suppose 11*x - 10 = 9*x. Suppose -2 - 2 = -y, -5*y = -x*k + 315. Suppose -3*r + 502 = k. What is the units digit of r?
5
Let b(k) be the second derivative of -11*k**3 - 35*k**2/2 + 2*k - 12. What is the tens digit of b(-5)?
9
Let a = 12 + 5. Let f(s) = s - 15. Let n be f(a). Suppose g - u = -0*g + 29, -5*g + 145 = n*u. What is the units digit of g?
9
Suppose -4*s + q + 95962 = 0, 0 = 4*s + 3*q - 95929 - 9. What is the ten thousands digit of s?
2
Let g = 8808 + -6119. Suppose -g + 10609 = 20*y. What is the units digit of y?
6
Let a = 73780 + -36567. What is the ten thousands digit of a?
3
Let t(f) be the third derivative of -17*f**4/8 + 20*f**3/3 - 64*f**2. What is the tens digit of t(-8)?
4
Let z(i) = -i**2 - 3*i + 20. Let r be z(-8). Let t be 6/2 + r/4 + 4. Suppose t*p - 3*l = 202, -2*p + 274 = -l + 76. What is the units digit of p?
8
Suppose 3*i = 26182 - 7563 + 17261. What is the hundreds digit of i?
9
What is the ten thousands digit of 0/(-28 + 16) - -11587?
1
Let l be (-6)/21*(-7 - 0). Suppose -l*h = 5*n - 15, -h - h = -3*n + 25. What is the tens digit of ((-48)/h)/((-34)/(-255))?
7
Let b = 168 - -641. Suppose -x + 571 = 2*s - 4*x, 0 = -3*s - 5*x + b. What is the hundreds digit of s?
2
Let j be 1/(-4)*(-3 + -17). Suppose 0 = -4*m - 3*l + 422, -2*l = -j*m + 206 + 310. What is the tens digit of m?
0
Suppose -5*d + 5*g = -40, 3*g + 19 = -d + 3*d. Suppose -491 = -d*s + 289. What is the hundreds digit of s?
1
Let r(g) = g + 63. Let z be r(-17). What is the units digit of ((-6)/4*z)/((-87)/116)?
2
Let y be (-27310)/(-75) + 5/((-225)/6). Let a = y - -55. What is the hundreds digit of a?
4
Let j = -13783 + 17325. What is the tens digit of j?
4
Let d be (24/(-15))/(8/(-40)). Suppose d*l = 4*l + 1052. What is the units digit of l?
3
Suppose -129 = -26*t + 23*t. Let l = t + -44. What is the tens digit of (-35)/10*l*22?
7
Let b(h) = 23*h**3 - 4*h**2 - 3*h - 4. Let g be b(4). Let n be (3/(-3))/((-4)/g*-3). Let k = -80 - n. What is the units digit of k?
6
Let g = 265 + 53. Suppose b + 2*o - g = 0, 0 = 3*b + 2*o - 1640 + 674. What is the hundreds digit of b?
3
Suppose 5*f = 15526 - 4651. Suppose 5*i = -11*z + 6*z + f, 0 = -2*i - z + 874. What is the units digit of i?
9
Suppose -2*f + 11025 = -0*f - 8659. What is the units digit of f?
2
Let s(m) = -6*m - 13. Let i(k) be the third derivative of k**4/4 + 2*k**3 + 17*k**2. Let j(b) = -4*i(b) - 5*s(b). What is the units digit of j(11)?
3
Let f be 1/(8/(-444))*2/(-3). Let s(k) = -2 + k**3 + 1 - k - k + f. What is the tens digit of s(0)?
3
Let t = 43199 + -11328. What is the units digit of t?
1
Suppose 45*g = 4*g + 4*g + 232545. What is the units digit of g?
5
Suppose -h - 744 - 162 = 0. Let p = -2046 - h. What is the tens digit of (0 + (-4)/6)/(8/p)?
9
Suppose -91*n = -53*n - 88502. What is the thousands digit of n?
2
Let l(y) = y**3 + 60*y**