et t(n) be the first derivative of -42*n**2 - 18*n + 23. What is the units digit of t(-6)?
6
Let n(x) be the first derivative of 39*x**2/2 + 10*x + 15. What is the hundreds digit of n(12)?
4
Let r = 33 - 24. Suppose r*z = 2*z. Let q(j) = 2*j**2 + j + 44. What is the units digit of q(z)?
4
Let h(s) = -9*s**2 - 2*s - 30. Let m(w) = -w + 1. Let y(i) = -h(i) + 3*m(i). What is the hundreds digit of y(4)?
1
Let f(d) = 6*d**2 - 107*d - 381. What is the units digit of f(59)?
2
Suppose -31*y + 33*y = 2374. Suppose -10*r + 43 = -y. What is the tens digit of r?
2
Let u(o) = o**2 - 21*o + 24. Let z be u(20). Suppose -7*m - 8 = -3*m, -z*m - 4 = v. Let l = 36 + v. What is the tens digit of l?
4
Let i be ((-688)/12 + -2)/(6/9). Let h = i + 209. What is the units digit of (-4 - 5/(-1)) + h?
1
Let p = -214 - -424. Suppose -2*w = -p - 36. Let n = -85 + w. What is the units digit of n?
8
Let h(y) = y - 13. Let f be h(15). Suppose 2*p - 666 = x - 3*x, -p = f*x - 663. What is the units digit of x?
0
Suppose 2*z + 5 = g, 11 = 2*g - 6*z + z. Suppose 7 - g = 4*l. What is the tens digit of 3 - 7/l - -43?
3
Suppose -5*h + 43 = 2*x, 3*h - 20 = -x + 3. Let z = -25 + x. Let q(k) = -16*k - 37. What is the units digit of q(z)?
9
Suppose -3*p - 4*g = -16, -2*g + 36 = 3*p + 2*p. Let y(u) = -u + 13. Let d be y(p). What is the tens digit of (-36)/(-15) - 3 - (-373)/d?
7
Let r = -3645 + 7091. What is the tens digit of r?
4
Suppose 3*m + 6 = i, -4*i - 10 = -0*m + 5*m. What is the units digit of (-8)/m + -1 + (-2 - -571)?
2
Let j(y) = -11896*y + 1037. What is the hundreds digit of j(-3)?
7
What is the ten thousands digit of (0 + 140657/(-33))*-3*1?
1
Let y be (-2)/13 - (2 - 36932/(-91)). Let m = -245 - y. What is the hundreds digit of m?
1
Let s(t) be the first derivative of 3*t**3 + 8*t**2 - 34*t - 95. What is the hundreds digit of s(6)?
3
Suppose -6*a + 3*a = 0, 3*v - 3*a + 39 = 0. Let u(p) = -p**3 - 10*p**2 - 24*p - 19. What is the units digit of u(v)?
0
Suppose -3*i + 28224 = 44*g - 41*g, -3*g + 18809 = 2*i. What is the thousands digit of i?
9
Let t = -64 - -58. Let w be 210/(5 - t/(-2)). Let y = -23 + w. What is the tens digit of y?
8
Suppose 0 = -4*r + 6 + 2. Suppose 0 = 5*x + 5, -r = -h + x - 10. What is the tens digit of h/(-36) + (-255)/(-4)?
6
Let t(n) = -n**3 - 9*n**2 - 7*n - 6. Suppose 0 = 4*i + 31 - 39. Suppose -11 + i = s. What is the units digit of t(s)?
7
Suppose -1064525 = 183*z - 218*z. What is the hundreds digit of z?
4
Let l = -54 + 56. Suppose l*w - 3*k - 18 = 5*w, -k - 2 = -w. What is the tens digit of -115*(3/w + (-4)/(-8))?
1
Let z(g) = -4821*g + 1334. What is the hundreds digit of z(-5)?
4
Suppose 5*k = 4*s + 131115, -k + 14*s = 11*s - 26234. What is the thousands digit of k?
6
Let l(z) = z**3 + 8*z**2 - 7*z + 16. Let c be (-4)/10 + 172/(-20). Let u be l(c). What is the tens digit of ((u - -1) + (4 - -96))/1?
9
Suppose 68 = -4*n - 248. Suppose -2*x = 4*h + 530, 3*h - 804 = 2*x + x. Let j = n - x. What is the hundreds digit of j?
1
Suppose -8*n - 3*n = -3*n - 44056. What is the thousands digit of n?
5
Let q(b) = 3*b**2 + 70*b + 5. Suppose -5*f + 3*r - 157 = -0*r, 2*r = 5*f + 153. What is the hundreds digit of q(f)?
4
Let w be -2 - 3/(-2)*(4107 - -1). Suppose -2*b = 9*b - w. Suppose 4*g - 3*q = 699, 5*g - 5*q = -b + 1435. What is the hundreds digit of g?
1
Suppose -2*a + 3*b = -12 + 31, -3*b = -4*a - 23. Let v(s) be the first derivative of 14*s**3/3 - 3*s**2 - 7*s + 4. What is the units digit of v(a)?
1
Suppose -16*i + 90743 = 34215. What is the thousands digit of i?
3
Suppose -4*z - 14 = -q, 2*q - 2*z + 5*z + 16 = 0. Let m(t) = 27*t**2 + 2*t - 2. What is the hundreds digit of m(q)?
1
Suppose 3*d - 13*d = -250. Suppose -7581 = -d*a + 6569. What is the units digit of a?
6
Let k = -42 + 62. Let b be k/(-8)*(-2)/1. Suppose -43 = b*p + 4*j - 107, -2*j = 8. What is the tens digit of p?
1
Suppose -109424 = 3*c - 31*c. Suppose -20083 = -33*d + c. What is the hundreds digit of d?
7
What is the tens digit of ((-96)/(-150))/((-5)/(50/(-4)))*7780?
4
Let r be (-2)/(-4)*2 - -2. Let g(u) be the second derivative of 3*u**5/10 - u**4/6 + 5*u**3/6 - 7*u**2/2 - 663*u. What is the units digit of g(r)?
2
Let l be 5 + (-8)/(56/63). What is the tens digit of ((-2)/4)/(l/(-248))*-4?
2
Let g(v) = -v**2 - 27*v - 22. Let o be g(-11). Let u = o - 88. What is the tens digit of ((-49)/(-2))/(11/u)?
4
Suppose 0 = 4*i + i - 60. Let s(b) = b**3 - 13*b**2 + 19*b - 18. Let k be s(i). Let w = -14 + k. What is the units digit of w?
2
Let i(w) = 3647*w**2 - 3*w - 3*w + 5 - 3636*w**2. What is the units digit of i(2)?
7
Suppose -g - 1098 = -6169. What is the tens digit of g?
7
Let k be 6/(2*1) - 107/107. Suppose -5*z - 5*t = -2660, k*z + 254 = -4*t + 1320. What is the hundreds digit of z?
5
Let s(i) = 242*i**2 + 494*i - 2. What is the tens digit of s(-12)?
1
Let h(p) = -36*p + 4915. What is the hundreds digit of h(-47)?
6
Suppose -3*q + 176244 = -12*k - 90375, -2*q - k = -177710. What is the tens digit of q?
5
Let v(g) = -259*g + 2646. What is the tens digit of v(10)?
5
What is the hundreds digit of 5907/6*1/1*(31 - 5)?
5
Let h(d) = d**2 + 6*d - 4. Let v = 2 - 9. Let r be h(v). What is the units digit of (r + (-15)/6)/((-1)/(-158))?
9
Let y(w) = 38*w**2 + 69*w + 137. Let p(x) = -17*x**2 - 34*x - 68. Let l(v) = 9*p(v) + 4*y(v). What is the units digit of l(-24)?
0
Let y(d) = -20*d + 29. Let s be y(10). Let p = s - -179. What is the units digit of p?
8
Let q be ((-10)/(-4))/(17/136). Suppose 28*b = q*b + 6824. What is the hundreds digit of b?
8
Let p(n) = 210*n + 665. Let g(x) = -11*x - 35. Let z(r) = -56*g(r) - 3*p(r). What is the tens digit of z(-8)?
7
Suppose 16 + 2 = 6*x. Suppose 3*h - 39 - x = 0. Suppose -i = -h - 2. What is the tens digit of i?
1
Suppose 0 = -2*t + 4*c + 2295 + 471, 2*c = -t + 1379. Let b = t - 471. What is the tens digit of b?
1
Suppose -4*n = -8, -3*p + n = -2*p. Suppose 0 = 2*y, -p*s = -0*s + 2*y - 2486. What is the thousands digit of s?
1
Suppose -4*c = -0*c + 49*c - 1494600. What is the thousands digit of c?
8
Let b(g) = -g**3 + 37*g**2 - 114*g - 34. Suppose -4*n - 8 = 0, -4*v - n - 101 = -7*v. What is the tens digit of b(v)?
6
Let v(c) = 1. Let d(t) = 98*t + 19. Let b(h) = d(h) - 4*v(h). Suppose 5*k - 3*s - 1 = 0, -300*k = -296*k - 5*s + 7. What is the tens digit of b(k)?
1
Suppose 4537 = -15*d + 40567. What is the thousands digit of d?
2
Let l = -616 - -617. What is the tens digit of (3 - l) + 5/((-40)/(-8072))?
1
Suppose -t - 33 = 2*t. Let k(f) = f**2 - 13*f + 46. What is the tens digit of k(t)?
1
Let r(i) = -8572*i + 3195. What is the hundreds digit of r(-3)?
9
Suppose -2*i + 93 = -5*u, -36 = -3*i - 3*u + 72. Let b = -51 + i. What is the tens digit of -4*(b/8 - -2) - -17?
1
Suppose 0 = -32*i + 337706 + 15926. What is the ten thousands digit of i?
1
Suppose -303*k + 1749737 = -76*k - 1507032. What is the thousands digit of k?
4
Let g(x) = -5*x + 4*x + 12*x + 155. What is the hundreds digit of g(7)?
2
What is the tens digit of 2 + 248 - 0/15*(-1 + 0)?
5
Let y be -10*1/((-4)/6). Suppose 0 = 2*r + 321 - 511. Let c = r - y. What is the units digit of c?
0
Suppose 2*v - 1186 = 4*m + 256, m = 5*v - 3596. Let i = 1258 - v. What is the tens digit of i?
3
Let j = -21 - -21. Suppose -s + 24 - 3 = j. Suppose s = -2*b - k + 71, 112 = 4*b - k. What is the units digit of b?
7
Suppose 501*w - 12226670 = 11164519. What is the thousands digit of w?
6
Suppose -14*v + 12*v + 4*x = -12, 0 = -4*v + x + 17. Suppose -4*w - 3*y + 5948 = 0, v*w - 10*y + 6*y = 5976. What is the tens digit of w?
9
Let t(h) = -666*h - 51. Let m(y) = -445*y - 34. Let b(k) = -7*m(k) + 5*t(k). What is the hundreds digit of b(-2)?
4
Suppose -4*k - 2*p = -434, 12*k - 16*k = p - 435. Suppose -4560 = 101*v - k*v. What is the units digit of v?
0
Let p = 33332 + -8311. What is the hundreds digit of p?
0
Let d = -283 + 288. Suppose -6*y = -d*y - 34. What is the tens digit of y?
3
Suppose 1880*l - 1917*l + 1994559 = 0. What is the thousands digit of l?
3
Let a(m) = 26*m + 159. Let n be a(-6). Suppose n*l - x - 1292 = -0*l, -3*l - 3*x + 1296 = 0. What is the units digit of l?
1
Suppose v - 3 = 4*h - 23, 4*v - 15 = -3*h. Suppose 0 = -2*s - 2*r, h*s - s + 2*r + 4 = 0. What is the units digit of s/(-3) - (-1372)/21?
6
Let