 1 = 0. Let q be (-6)/((-1)/(p + 0)). What is the units digit of (-607)/q + 3/(-18)?
1
Let o(q) be the first derivative of 3*q**4/4 + q**3 + q**2 - 2*q - 31. Let v(j) be the first derivative of o(j). What is the hundreds digit of v(3)?
1
Suppose 47916 = 30097*d - 30088*d. What is the thousands digit of d?
5
Suppose -2*y + 3404 = 2*g + 112, -3*y + g = -4970. What is the thousands digit of y?
1
Suppose 33*m - 30*m = 2*v - 98, -m - 46 = 2*v. Suppose -2*y = 85 - 29. Let c = y - m. What is the units digit of c?
8
Suppose -4*f - 11380 = -2*p, 6*p - 5*f = 7*p - 5648. What is the tens digit of p?
7
What is the tens digit of (66/116 - (-26)/(-377))*16998?
9
Let d(k) = -68*k + 124. Let g be (0 + 1)/(20/(-180)). What is the tens digit of d(g)?
3
Let l(f) be the first derivative of -f**4 - 2*f**3/3 - 2*f**2 - f + 1. Suppose 0 = -5*u + o - 11, u + 4*u - 1 = 4*o. What is the hundreds digit of l(u)?
1
Suppose 0 = 3*o - z + 15, 0 = 7*z - 11*z. Let w(q) = -4*q**3 - 6*q**2 + 10*q + 8. What is the units digit of w(o)?
8
Let a(p) = 11*p**2 + 27*p - 214. What is the thousands digit of a(25)?
7
Let s = 157 + -155. Suppose 0 = -4*q + 4*c + 4784, c = -s*q - 0*c + 2383. What is the tens digit of q?
9
Let t(c) = 5*c**2 - 174*c - 34. Let u(o) = -3*o**2 + 87*o + 17. Let a(k) = 6*t(k) + 11*u(k). What is the tens digit of a(-25)?
8
Let n = 626 - 24. Suppose n = -3*l + 5255. What is the thousands digit of l?
1
Let t be ((-4033)/74)/(2/(-4)). What is the hundreds digit of (t - (-7 - 0)) + 3?
1
What is the tens digit of 10*12321/135*3?
3
Suppose -3 = 3*s - 0*s + 3*q, s + 13 = 3*q. Let i be s/5 + (-5)/((-150)/24). Suppose i*p = -p + 190. What is the tens digit of p?
9
Let v(g) = g**3 - 81*g**2 + 500*g + 145. What is the units digit of v(75)?
5
Suppose q + 14*k = 12*k + 12792, -2*q = -k - 25624. What is the hundreds digit of q?
8
Suppose 7*q + q = -96. Let r be (-1)/(((-105)/q)/5 - 2). What is the units digit of r + 12*(-10)/(-4)?
4
Suppose 5*v + 25 = 0, 3*z - 891 = -z - v. Suppose -5*o + o = q - z, -2*q - 8 = 0. What is the units digit of o?
7
Let y(x) = 15*x + 57. Let k(q) = 14*q + 23. Let l(a) = -29*a - 45. Let u(f) = 13*k(f) + 6*l(f). Let o(v) = -5*u(v) + 3*y(v). What is the units digit of o(7)?
1
Suppose 446*u + 45214 = 448*u - 4*d, 0 = 3*d + 18. What is the hundreds digit of u?
5
Suppose 3*v - 7*o = -12*o + 24866, -2*v + 16576 = 2*o. What is the thousands digit of v?
8
Suppose 0 = -25*t - 1758 + 4758. What is the hundreds digit of 2/5 + (-4)/(t/(-25278))?
8
What is the tens digit of 1 + (-12)/11 - 17337/(-11)?
7
Suppose 34*m - 13*m = 125265. What is the units digit of m?
5
Let l(z) = -65*z + 171. Let r be l(12). What is the units digit of 28/(-7) + 7 - r?
2
Suppose -9 = -3*o, 4*h - 25*o = -23*o + 6082. What is the thousands digit of h?
1
Let w = 166 + 604. Suppose -14*v = -9*v - w. What is the units digit of v?
4
Let g(b) = 19*b**2 + 36*b - 471. What is the hundreds digit of g(-33)?
0
What is the tens digit of 887*(5 - (-306)/(-63)) + (-2)/(-7)?
2
Suppose -r = -f - 3706, 4*f - 3718 - 11066 = -4*r. What is the hundreds digit of r?
7
What is the units digit of 7 + 84*12/(-120) + 241324/10?
1
Let x be 1/(1/(-95)*-5). Suppose -v + 15 = x. What is the units digit of 14/7 - -43*v/(-2)?
8
Let f(u) = u**3 - 8*u**2 + 9*u - 10. Let q = -31 + 38. Let l be f(q). What is the tens digit of (84 - 1) + -10 + l + 4?
8
Let y(s) = 6*s**2 - 330*s + 481. What is the tens digit of y(122)?
2
Suppose -5*w = -3*m - 155, -4*m - 8 = -2*w + 40. Let b(v) = 12*v + 33. Let q be b(-3). Let x = q + w. What is the tens digit of x?
3
Let b = -97 + 101. Suppose 8 = 4*t - b*v, t + 0 = 2*v + 3. What is the tens digit of ((4830/24)/7)/(t/8)?
3
Suppose 23*b = 24*b + 81. Let u = 150 + b. What is the units digit of u?
9
Let a(t) = 8*t**2 - 27*t + 7. Let m(g) = -17*g**2 + 54*g - 14. Let p(k) = 5*a(k) + 2*m(k). What is the hundreds digit of p(11)?
4
Let o = 10 - 5. Suppose -14*x = -o*x - 6579. What is the hundreds digit of x?
7
Suppose 4631 - 18851 = 5*z. Let r = -1384 - z. What is the hundreds digit of r?
4
Suppose 223*f = -222*f + 463*f - 244692. What is the ten thousands digit of f?
1
Let m(b) = -b**3 - b**2 + 8. Let j be m(0). Let a be ((-3)/6)/(5/(-30)). Suppose 315 = j*t - a*t. What is the tens digit of t?
6
Suppose 50 = -12*d + 22*d. Let w(x) = 6*x**2 - 2*x - 27. What is the hundreds digit of w(d)?
1
Let w = 58871 + -37092. What is the thousands digit of w?
1
Let p be (-3)/2 + (-11)/(-22). Let b be p + 1 - 6/((-24)/68). Let q = b + 52. What is the units digit of q?
9
Suppose -4*b + 10 = z, b - 2 - 2 = -z. Suppose -q + z*o + 212 = 3*o, 4*o - 12 = 0. What is the tens digit of q?
0
Let t(l) = 5*l**2 - 3*l + 11. Let g(n) = 3*n - 6*n - 140*n**2 + 114*n**2 + n**3 + 28 + 2*n. Let k be g(26). What is the units digit of t(k)?
5
Let j(f) = 13*f**2 - 54*f + 378. What is the tens digit of j(-20)?
5
Suppose 36057 + 1304 = 4*n + u, -5*n - 3*u = -46696. What is the tens digit of n?
4
Let t be 3/(-6)*(-43 - -5). Let z(x) = x**3 - 20*x**2 + 29*x - 51. What is the units digit of z(t)?
9
Suppose 0 = 2*k - 3*o + 8, -2*o + 7*o + 31 = -3*k. Let v = k - -10. Suppose -c + 48 = v*c. What is the units digit of c?
2
Suppose 45*b - 2154835 = -56*b. What is the thousands digit of b?
1
Let p(f) = -4*f**3 - 2*f**2 + 23*f + 11. Let j be p(-5). Let x = j - 33. What is the tens digit of x?
1
Suppose i = g - 1, -5*g - 7 = -2*i - 21. Suppose -3*v + 1466 = 5*s, 4*s + g*v - 597 = 571. What is the tens digit of s?
9
Suppose -2*s - 10*m = -142156, 5*s = -3*m - 219169 + 574537. What is the ten thousands digit of s?
7
Let q(g) be the second derivative of g**4/12 - 25*g**3/6 - 59*g**2/2 - g + 77. What is the units digit of q(31)?
7
Suppose -133*z - 379112 = -2091088. What is the thousands digit of z?
2
Suppose 0 = n - 6*n - 3*i - 66, -2*i = 5*n + 69. What is the tens digit of n + 21 - (-78 + -1)?
8
Suppose 12*j = 342803 + 343189. What is the thousands digit of j?
7
What is the hundreds digit of (4/6)/(80/(-40368))*-10?
3
Let z be -4 + 0 + (0 - 50). Let a be (-1434)/(-26) - (-58)/(-377). Let d = z + a. What is the units digit of d?
1
Let k(q) = 2*q**2 - 7*q - 38. Suppose 42*i = 46*i - 60. What is the tens digit of k(i)?
0
Let c = -42 - -26. Let s be -28 + 44 + -11 - 5/((-2)/2). What is the tens digit of 816/s - c/40?
8
Let i be (-1 - (-13514)/(-14)) + 54/189. Let c = -644 - i. What is the hundreds digit of c?
3
Let j = -57 + 56. Let u(m) = 4*m**2 - 3*m - 4. Let f be u(j). Suppose 64 + 182 = f*b. What is the tens digit of b?
8
Let j = 6572 + -375. What is the units digit of j?
7
Let f(l) = -l**2 - l + 60. Let n be f(0). Let t = 128 + -116. What is the tens digit of 308/10 + t/n?
3
Suppose 78 = 22*h - 10. Suppose -3433 = -3*k - n, 7*n = 4*k + h*n - 4599. What is the units digit of k?
6
Let a be 7 + (-15)/5 + 1. Suppose -5*p + 441 = 5*k - 4*k, 435 = a*p - 5*k. Suppose 92*c = p*c + 80. What is the units digit of c?
0
Let o = 2209 + 3533. Let g = o - 3932. What is the units digit of g?
0
Suppose 5*t - 175974 + 32442 = -2*v, -71763 = -v - t. What is the tens digit of v?
6
Suppose 0 = -2*g + 52*v - 47*v + 11, 2*v + 2 = 0. Suppose -g*t + 2*x + 208 = -2*t, -196 = -t + 5*x. What is the tens digit of t?
1
Suppose 2*i - 2 = 18. Suppose 3*l + 3*k + 31 = 5*k, -2*l - 12 = 3*k. What is the hundreds digit of i/(l + 4)*-61?
1
Let d(k) = -7*k + 48. Let j be d(5). Suppose -5*y + 14*x = j*x - 1993, -2*y = 2*x - 802. What is the hundreds digit of y?
3
Let x(a) = -139*a**3 - a**2. Suppose 37*k + 64 = 5*k. What is the units digit of x(k)?
8
Suppose -54*q = -43*q. Suppose -u - 3*f - 2*f + 319 = q, 0 = u - 5*f - 369. What is the hundreds digit of u?
3
Let m(d) = -24*d**3 - d**2 + 6*d + 91. What is the tens digit of m(-7)?
3
Let s(n) = -n**3 - 5*n**2 - 7*n + 4. Let t be s(-4). Suppose -t*m - 2112 = -19*m. Suppose 8*q = m + 240. What is the hundreds digit of q?
1
Suppose -8*o + 5*o + 351 = 0. Let p = 207 - o. What is the units digit of p?
0
Suppose 927 + 2286 = 9*p. What is the units digit of (753/7)/(51/p)?
3
Let d(l) = 10031*l**3 - 9*l**2 + 16*l - 8. What is the thousands digit of d(1)?
0
Suppose 0 = 2*b + 13 - 1. Let w be -1 - ((-4)/b)/(6/(-27)). Suppose -268 = -w*j - 104. What is the tens digit of j?
8
Suppose 302909 = -54*i + 100*i - 624313. What is the tens digit of i