
Let x(q) be the third derivative of -q**5/60 - 11*q**4/24 + 5*q**3/3 - 23*q**2. What is the units digit of x(-8)?
4
Let t(x) be the second derivative of -x**5/20 - x**4/12 + x**2 + 4*x. Let h be t(0). Let c = h + 23. What is the units digit of c?
5
Let y(k) = k**3 - 6*k**2 + k + 25. Let u be y(5). Suppose -2*l = -u*l + 369. What is the hundreds digit of l?
1
Let a = -560 - -1550. What is the tens digit of a?
9
Suppose -w - 2 = -4*x, 1 - 3 = x + w. Let s be x + (0 - -1) + 3. Suppose -70 = 4*v - 7*v + 5*q, 0 = 2*v + s*q - 32. What is the units digit of v?
0
Suppose 0 = 5*p + 4*v + 2, -p + v = -5*p + 5. Let m(a) = 43*a**3 - 2*a**2 + 5*a - 4. Let g be m(p). Suppose 8*r - g + 6 = 0. What is the units digit of r?
2
Suppose 4257 = -x - x - v, -4*v + 6380 = -3*x. What is the units digit of (-20)/(-12) - x/21?
3
Suppose 29*m - 26*m - 312 = 0. Let j = -48 + 73. Suppose h + j = m. What is the tens digit of h?
7
Let w = 183 - 113. Let u = -42 + w. What is the units digit of u?
8
Suppose -v - 3*v = 0. Suppose v*d - 3*d = 309. Let c = -62 - d. What is the units digit of c?
1
Let h = -36 + 39. Suppose -2*t + 24 = h*q - 32, 54 = t - 5*q. What is the tens digit of t?
3
Suppose -32*t + 6078 = -5058. What is the hundreds digit of t?
3
Suppose -l + 3*l = -5*s - 21, s + 7 = l. Suppose j - 336 = -4*h - 0*j, -j + 170 = l*h. What is the tens digit of h?
8
Let g(h) be the second derivative of h**5/20 - h**4/2 + h**3 + 5*h**2/2 - 7*h. Let m be g(5). Suppose 48 = m*j - 8*j. What is the units digit of j?
4
Suppose -x - 35 + 143 = 0. Suppose -5*j = -2*o - 267, -j - 5*o - 111 = -3*j. Let v = x - j. What is the units digit of v?
5
Suppose 2*b + h = 0, -7*b + 14 = -2*b - h. Suppose 3*v - b = 34. What is the tens digit of v?
1
Suppose -3*g + 4*p = -0 + 4, g = 2*p - 4. What is the tens digit of g/(-12)*(-3)/(-2)*-122?
6
Let a = 25 + -21. Let t be (-72)/(-16)*(-32)/(-6). Let m = t + a. What is the tens digit of m?
2
Suppose -8 = 7*m - 9*m. Suppose -3*f - 10 + 1429 = 3*s, 0 = -s - m*f + 464. What is the tens digit of s/(-49)*14/(-4)?
3
Let w be 888/9 + 1/3. Suppose -2*j = -14*x + 17*x + 103, 5*j = -3*x - 271. Let q = j + w. What is the units digit of q?
3
Suppose 9*h - 389 = 502. Suppose -5*l + h + 626 = 0. What is the hundreds digit of l?
1
Suppose 0 = -3*r - 4*c - 12, -7 = 2*r - 5*c + 1. Let m = 73 + -36. What is the tens digit of r/(-6) + m/3?
1
Suppose -8*w + 18 = -11*w. What is the units digit of (-568)/w - 9/(-27)?
5
Let s(u) = -3*u - 38. Let n(f) = 7*f + 75. Let d(k) = 6*n(k) + 11*s(k). What is the units digit of d(10)?
2
Suppose -3*x + 8*x = -3*t + 367, t = 3*x + 99. Suppose 3*f = -0*d + 3*d - t, d - 32 = -2*f. What is the tens digit of d?
3
Suppose -3*x = -5*m + 5, -2*m - x + 3 = m. What is the units digit of (4395/27)/m - 6/(-27)?
3
Let i = -375 - -974. What is the tens digit of i?
9
Let f = 31 + -23. Suppose -f*r - 42 + 586 = 0. What is the units digit of r?
8
Let j(h) = -11*h**2 - 7*h - 35. Let v(k) = 5*k**2 + 4*k + 17. Let x be (-13)/(-2)*(-7 + 9). Let o(t) = x*v(t) + 6*j(t). What is the tens digit of o(8)?
2
Suppose 2*q + 19 = -5*p, 5*p + 0*p = -4*q - 23. Let m(s) = s**2 + s + 3. Let i be m(-3). Let u = i + p. What is the units digit of u?
6
Let z(u) be the third derivative of 0*u - 1/20*u**5 - 1/120*u**6 + 0 - u**2 - 1/4*u**4 - 1/6*u**3. What is the tens digit of z(-4)?
3
Let o = -140 + 462. What is the units digit of o?
2
Suppose 3*t - 36 = 108. Let p = t + 33. What is the units digit of p?
1
Let d(r) = -r**3 + 13*r**2 - 12*r + 34. What is the tens digit of d(-10)?
5
Let w = 1 + 2. Let y = 290 + -291. Let s = w - y. What is the units digit of s?
4
Let c = 1574 + -888. What is the units digit of c?
6
Let x(y) = 389*y**3 + 2*y**2 + 12*y - 22. What is the thousands digit of x(2)?
3
Suppose -4*g - 5*j + 1857 = 0, 16*g - 923 = 14*g + 3*j. What is the tens digit of g?
6
Let g(m) = 39*m + 17. Suppose -3*z = -13*z + 40. What is the tens digit of g(z)?
7
Suppose -32*r + 36*r - 20 = 0. Let k(i) = 2*i**3 - 6*i**2 - 3*i + 7. What is the tens digit of k(r)?
9
Let z = 4493 + -2639. What is the hundreds digit of z?
8
Suppose 4*b + 72 = -q, 1 + 7 = 4*b. Let y = q - -273. What is the tens digit of y?
9
Suppose v = 474 + 336. What is the tens digit of v?
1
Suppose -3*s = -5*r + 20, -3*s + 5 = 4*r - 11. Suppose -283 = -r*i + 3*b, 3*i - 39 = 5*b + 165. What is the tens digit of i?
7
Let z(j) = -j**3 - 12*j**2 + 11*j - 18. Let o be z(-13). Suppose -5*d - 126 = -o*d. What is the units digit of d?
2
Let g = -362 - -1381. What is the hundreds digit of g?
0
Suppose -5*l = 2*x + 79 - 699, -952 = -3*x - 2*l. What is the hundreds digit of x?
3
Let t(q) = -4*q**2 - 2*q + 583. What is the tens digit of t(0)?
8
Let r(t) = -3*t**3 - 6*t**2 - 6*t + 7. Let w be r(-5). Suppose -5*y + w = -y - 3*o, y + 3*o = 73. Suppose -73 = -5*a + y. What is the units digit of a?
8
Let r = -297 - -323. What is the tens digit of r?
2
Let w = -1893 + 4096. What is the hundreds digit of w?
2
Let s(z) = 2*z**2 - 3*z + 1. Let m(l) = 3*l**2 - 4*l + 1. Let q(a) = 5*m(a) - 7*s(a). Let o be q(0). What is the tens digit of 20 - ((0 - o) + 0)?
1
Let p(v) = 499*v + 3. Let g be p(3). Suppose 6*i + 456 = g. What is the tens digit of i?
7
Suppose -158 = -3*q + 169. Let f = 4 + q. What is the units digit of f?
3
Let u(f) = 2 + 0 + 31*f + 2. Let k(a) = a + 11. Let w be k(-9). What is the units digit of u(w)?
6
Suppose -q - 2*r + 1 - 5 = 0, 2*q - 10 = 2*r. Let n(o) = -q*o + 10*o - o**2 + 0 + 3*o + 4. What is the tens digit of n(7)?
3
Let g(f) = 23*f + 273. What is the tens digit of g(-9)?
6
Let u(t) = t**2 + 2*t + 4. Let a(g) = g**2 + 2*g + 4. Let c(x) = 5*a(x) - 4*u(x). What is the tens digit of c(6)?
5
Let i = -192 + 774. What is the tens digit of i?
8
Suppose 4 = 11*q - 7*q. What is the units digit of q + (-15)/6 + 2130/12?
6
Let z(m) = -m**3 + 16*m**2 - 8*m + 10. Suppose w = 4*s - s - 44, -2*s + 29 = -w. What is the tens digit of z(s)?
1
Let i(s) = s**3 + 7*s**2 - 4*s - 5. Let g be i(4). Let n = -89 + g. What is the tens digit of n?
6
Suppose -2 = 4*u - 10. Let g = 2 + u. Suppose -46 = -a - g. What is the units digit of a?
2
Let b be ((-64)/24)/(1/(-12)). Suppose 243 + b = 5*m. What is the tens digit of m?
5
Suppose 15507 - 5747 = 16*i. What is the units digit of i?
0
Suppose -7*y = -2*y + q - 2802, -3*y + 3*q + 1674 = 0. What is the units digit of y?
0
Let o(h) = -6*h + 7. Let k be o(-8). Let l = k - 21. What is the tens digit of l?
3
Suppose 0 = 2*g + 12*g - 21364. What is the hundreds digit of g?
5
Let s = 556 + -1109. Let i = s - -789. What is the tens digit of i?
3
Let r = 8 + -16. Let t be (-4)/16 + 38/r. What is the units digit of (-47)/t + (-10)/25?
9
Let q(c) = -41*c - 134. What is the tens digit of q(-11)?
1
Let h(y) = 87*y**2 - 86*y - 589. What is the tens digit of h(-7)?
7
Let i be (-18)/3 + (-2 - 0). Let h be 2*(-4)/(i/3). Let f = h + 0. What is the units digit of f?
3
Suppose -c - 46 = -y, 44 = y - 2*c - 1. Suppose 3*v - 178 = 65. Let n = v - y. What is the units digit of n?
4
Let p(m) = 2*m**2 + m. Let n be p(-2). Suppose y - 42 = -a + 4*a, -3*a + n = 0. Suppose 5*z = 2*z + y. What is the units digit of z?
6
Let z(k) = -k**3 + 11*k**2 - 8*k - 17. Let w be z(10). Suppose -3*m - 212 = -2*p, -w = 3*m - 9. What is the tens digit of p?
0
Let f(j) = j**3 + j**2 + 8. Let c be f(0). Suppose -c*u - 18 = -10*u. What is the units digit of u?
9
Let w = -2119 - -1386. Let c = -515 - w. What is the units digit of c?
8
Suppose -5*i + 3*m - 49 = 0, 4*i = 3*m - 8*m - 54. Let k = 8 - i. What is the tens digit of k?
1
Let a(r) = 15 - 13 - 10*r + 18. What is the units digit of a(-7)?
0
Suppose -179 = -o + 84. What is the tens digit of o?
6
Let u be -4 + 4 - -1*2. Suppose 3*n - 32 = -4*t, -4*n = -u*t - 3*n + 6. Suppose -2*i - p = -78, 0*i + t*p + 117 = 3*i. What is the tens digit of i?
3
Let x = 1808 + -1055. What is the hundreds digit of x?
7
Suppose -10535 = -13*r - 1916. What is the units digit of r?
3
Let c(w) = -w**2 - 59*w - 60. What is the hundreds digit of c(-25)?
7
Let h be 6/(-9)*(2*-1 + -1). Suppose 5*v + 8*o = 3*o + 345, 4*o + 156 = h*v. What is the units digit of v?
2
Let x be 410/18 - (-36)/162. Let b be 4/1 - 0 - x. Let z = 60 + b. What is the units digit of z?
1
Suppose 2*b + 1598 = 4*f, 0 = 3*b - 5 + 2. What i