ppose -r + 267 = -4*w. What is the hundreds digit of w?
1
Suppose 31*a - 8*a - 322 = 0. Let j(s) = 107*s - 165. What is the units digit of j(a)?
3
Suppose -2764*j + 2765*j + m - 10165 = 0, -4*m = 2*j - 20334. What is the hundreds digit of j?
1
Let z = -32870 - -76697. What is the ten thousands digit of z?
4
Let v = 18 + -14. Let z be 6/(-1)*v/6. What is the tens digit of ((-2)/(-6))/(z/(-396))?
3
Let t(i) = -i**3 + 60*i**2 + 66*i - 214. What is the hundreds digit of t(60)?
7
Let f(y) = 352*y**2 + 5*y + 2. Let x be f(1). Suppose a = x - 210. What is the units digit of a?
9
Let r(k) = 44 + 35 + 18 + 40*k + 38*k. What is the units digit of r(6)?
5
Let t = 15564 + 16381. What is the hundreds digit of t?
9
Let u(p) = 24182*p - 41. What is the tens digit of u(1)?
4
Let b = 7297 - 4970. Suppose 5*s - b = -3*q, -6*s + 3*q = -10*s + 1861. What is the tens digit of s?
6
Let w(y) = 2*y + 34. Suppose 8*a + 221 = 29. Let c = a - -34. What is the tens digit of w(c)?
5
Let o = 7698 + -5020. What is the units digit of o?
8
Let a(v) = -v - 8. Let c be a(-4). Let t be (-11 + -147)/(c/2). Let k = 24 + t. What is the hundreds digit of k?
1
Let g(f) = 55*f**2 + 15*f - 20. Let v(b) = -b**3 + 21*b**2 + 4. Let q be v(21). What is the units digit of g(q)?
0
Suppose 1440477 = 49*k + 133370 - 10062. What is the ten thousands digit of k?
2
Let f be 943 + -2 - 0/(-4). Let d = 1621 - f. What is the tens digit of d?
8
What is the units digit of (-2 + 4/3)/(565276/(-188424) - -3)?
4
Suppose -3*z - 4674 = -3*a, 2*z - 135 = -4*a + 6091. Suppose -174 = 3*r + g - a, -5*r + 2298 = 4*g. What is the units digit of r?
2
Let h = -400 - -400. Suppose 155*f - 149*f - 1404 = h. What is the tens digit of f?
3
Suppose 54*b + 29 = -187. What is the hundreds digit of (b/(-5))/((-7)/(-11095))?
2
What is the ten thousands digit of 2 - (-2 - (-14424)/(-18))*(-102)/(-5)?
1
Let n(j) be the first derivative of j**4/4 + 20*j**3 + 99*j**2/2 - 120*j + 204. What is the tens digit of n(-58)?
6
Let g be 6*((-5)/3 + 6). Suppose -3*x + 4*u = -2347, g - 16 = 2*u. What is the units digit of x?
9
Let p = 16951 - 9939. What is the tens digit of p?
1
Suppose -110900 = -5*p - 4*n, 2*n - 744 = -2*p + 43616. What is the tens digit of p?
8
Suppose 1863*o + 3671484 = 1920*o. What is the ten thousands digit of o?
6
Let o = 66 - 63. Suppose 0 = 4*i - 4*b + 4, o*i - 7 - 5 = -2*b. Suppose 0 = -i*g - 4*y + 36, 3*g + 26 - 104 = 2*y. What is the tens digit of g?
2
Let o be (-2 - (1 - 0)) + -37. Let v be 195/(-20)*o/15. What is the tens digit of (-1)/((1/v)/(4/(-8)))?
1
Let i(l) = l - 18. Let h be i(23). Let d = 112 + 1018. Suppose h*t + a - 6*a - d = 0, 229 = t + 2*a. What is the hundreds digit of t?
2
Let w be (-4)/(-4) - (5 + -4). Suppose 4*r - 645 = -5*i - 0*r, 3*i + 4*r - 379 = w. Suppose i = 3*m - 236. What is the units digit of m?
3
Let h = -681 - -1182. Suppose m - 1492 = -2*m - 4*q, 0 = m + 5*q - h. What is the units digit of m?
6
Suppose 4*a = 68 + 28. Suppose 5*n + 1 = -4*w, -2*w + 4*n - a = w. What is the units digit of (756/(-70))/(w/50)?
5
What is the units digit of 116958/14 - (-512)/(-448)?
3
Let s(g) = 51*g**2 + 19*g - 246. What is the hundreds digit of s(-12)?
8
Let z(n) = 2*n**3 + 180*n**2 - 12*n - 70. What is the tens digit of z(-88)?
6
Let l(g) = 2*g**3 + 4*g**2 - 5*g - 1. Suppose 21 = y + p, -2*y = y + 4*p - 58. Let k = -23 + y. What is the units digit of l(k)?
4
Suppose -8*k + 3*k = 11*k. Suppose 0*q - 3*m = -5*q + 482, k = -m + 1. What is the units digit of q?
7
What is the ten thousands digit of (-13132089)/(-497) + 11/((-385)/(-10))?
2
Let p = 1306 - 474. Suppose -697 + 185 = -3*z + 4*d, 0 = 5*z + 4*d - p. Suppose -3*x = 3*x - z. What is the units digit of x?
8
Suppose -47*q = -52*q + 17160. Suppose 4*g = 16*g - q. What is the hundreds digit of g?
2
Suppose 0 = -15*j + 41*j - 124696. What is the thousands digit of j?
4
Let u(s) = s**2 - 12*s - 2. Let t = -453 + 445. What is the tens digit of u(t)?
5
Let q(u) = -176*u**3 + 5*u**2 + 8*u + 4. What is the thousands digit of q(-3)?
4
Let m = 52 + -44. Let i(o) = -2*o**3 - m*o**2 - 3*o**3 + 6*o**3 + 4*o - 7*o**2 + 13. What is the tens digit of i(15)?
7
Let i be 1*((-9)/(-3) + 1 - 4). Suppose i*v - 2595 = -5*v. Suppose 6*c - 3*c = v. What is the tens digit of c?
7
Let b(t) = -2*t**2 - 15*t + 18. Let u be b(-17). Let d = 131 - u. What is the hundreds digit of d?
4
Let c(l) = l**3 - 15*l**2 + 9*l + 3. Suppose -120 = -91*b + 83*b. What is the hundreds digit of c(b)?
1
Suppose 5*h + 39*h - 375312 = 374536. What is the ten thousands digit of h?
1
Let g(d) = -62*d**2 - 1527*d + 15. What is the units digit of g(-11)?
0
Suppose 2*s + 6*d = 7*d + 13823, s - d = 6914. What is the tens digit of s?
0
Let d = 350 - 194. What is the units digit of (-2)/(-13) - (-36792)/d?
6
Let g(i) = 60*i**2 - 3*i + 154. What is the tens digit of g(-9)?
4
Let a = 28 - -1639. What is the thousands digit of a?
1
Let z(d) = d**3 - 16*d**2 - 18*d - 373. What is the units digit of z(27)?
0
Suppose -8*k + 12*k = 28. Let n(t) = 3*t - 21. Let a be n(k). Suppose a = 38*j - 42*j + 208. What is the units digit of j?
2
Suppose -8 = 5*r - 28. Suppose -5*v - 4*c = -26, c + r*c = v + 18. Let h(p) = 92*p - 2. What is the units digit of h(v)?
2
Let a(b) = -374*b - 498. What is the hundreds digit of a(-22)?
7
What is the units digit of 230490/240 - 33 - (6/16 + 0)?
7
Suppose -384412 = -62*v + 764448. What is the units digit of v?
0
Suppose 5*x = 45, -i + 26347 = -4*x - 6575. What is the units digit of i?
8
Let f = 63 - 60. Suppose f*o = -5*k + 6*k + 575, 2*k = -o + 187. What is the units digit of o?
1
Suppose -22*f + 20*f = -4. Suppose -9*b + 3145 = 5*s - 8*b, -f*b - 10 = 0. What is the hundreds digit of s?
6
Suppose -11*i = -33*i + 17*i + 275150. What is the ten thousands digit of i?
5
Suppose 0 = -3*k - 4*m + m, 3*m = -5*k + 10. Suppose 216 = k*b - 474. What is the hundreds digit of b?
1
Suppose 40*p - 45*p = -4*t + 11698, 14609 = 5*t - 4*p. What is the hundreds digit of t?
9
Let x(y) = -133*y**3 - 9*y**2 + 315*y + 1911. What is the ten thousands digit of x(-6)?
2
What is the tens digit of (670/20)/(4469*(-2)/1788 - -5)?
4
Suppose -218455 - 99047 = -8*c + 168586. What is the ten thousands digit of c?
6
Let k(g) = 5*g**2 + 27*g - 6. Let a be k(-8). Suppose -3*p + 5*f + 794 = -a, -857 = -3*p - 2*f. What is the hundreds digit of p?
2
Let z = 15335 + -8372. What is the hundreds digit of z?
9
What is the tens digit of 1*-7 + 299135/(10 + 19)?
0
Suppose 36*d - 2*c = 40*d - 20686, -3*d - 3*c = -15510. What is the thousands digit of d?
5
Let z(k) = -6*k + 5*k + 23 - 19. What is the units digit of z(-5)?
9
Let t = 219 - 204. Suppose 3131 = t*w + 16*w. What is the units digit of w?
1
Suppose 0 = 88*s - 72*s - 23600. What is the hundreds digit of s?
4
Let p(n) = -n**2 + 8*n - 11. Let j be p(5). Suppose -j*l = 21 + 119. What is the units digit of 342/5 - (-14)/l?
8
Suppose -4*v + 15*c + 46964 = 9*c, 2*v + 4*c = 23440. What is the hundreds digit of v?
7
Let m(p) = -p**3 - 29*p**2 - 29*p + 8. Let b be m(-28). Suppose -t = 5*d - b, -91 = -3*t - 2*d - 22. What is the tens digit of t?
2
Suppose -25389*z = -25405*z + 21280. What is the tens digit of z?
3
Suppose -5*h = 6*y - y - 225, 87 = 2*h - y. Let w = 14 - h. What is the units digit of w/4*50/(-15)?
5
Let a = 102257 - 68180. What is the thousands digit of a?
4
Let x be 16 + 14 + (-2 - 11). Let z = 5 + -3. Suppose -2*f + m = -x, -2*f + 1 = z*m - 7. What is the units digit of f?
7
Suppose -4*s = -30 - 130. Suppose s = -y + 3*y. Suppose y*q - 17*q = 198. What is the units digit of q?
6
Let k(a) = 11171*a + 2347. What is the tens digit of k(4)?
3
Let q be -6*(-4)/6*21. What is the tens digit of 47232/q - (-6)/(-21)?
6
Suppose -v + 4*q = -2*v + 8, 3*v = q - 2. Suppose 2*r - 47 = -3*p - 3*r, -p - r + 19 = v. What is the tens digit of p?
2
Suppose -13*u - 2226 = -40433. What is the tens digit of u?
3
Let s(b) = 2094*b - 898. What is the ten thousands digit of s(8)?
1
Suppose 48*i - 77*i + 151844 = 0. What is the units digit of i?
6
Suppose -3208 = -3*b - 1180. What is the tens digit of b?
7
Suppose 501*r - 5414992 = 380*r. What is the tens digit of r?
5
Suppose n = 4 - 1. Suppose -8 = -n*i - 5*u, 18 - 6 = 3*u. Let b(s) = -19*s + 4. What is the tens digit of b(i)?
