 83000 = 412*k, 66430 = 4*k - 2*f. What is the thousands digit of k?
6
Let n = -169 - -19777. What is the ten thousands digit of n?
1
Suppose 0 = f - 1 - 3. Suppose 2*z - 3*k = -0*k + 31, -3*z = -f*k - 45. Suppose -151 = -3*t + 5*q, -z = 5*t - q - 248. What is the units digit of t?
7
Suppose 2*t - 5*d - 44462 = 43775, -2*d = t - 44096. What is the ten thousands digit of t?
4
Let s be 0/(2/7 + (-81)/63). Suppose -2*p - 3*u + 561 = s, 2*p - 5*u - 543 = -2*u. What is the tens digit of p?
7
Let o be (8 - 5)*1/1 - 0. Suppose -n + 138 = 4*b, -o*n + 3*b = -0*n - 489. What is the units digit of n?
8
Let s = -1736 + 1861. Let v(r) = 3*r**3 + 2*r**2 + 3*r + 2. Let b be v(-3). Let j = b + s. What is the units digit of j?
5
What is the ten thousands digit of (-11)/(-2)*141186*(-13)/(-429)?
2
Suppose -4 = 4*u, -16*b + u + 21189 = -12*b. What is the hundreds digit of b?
2
Suppose 0 = -h + 5*h - 12. Suppose -2*z = -h*k + 950, -4*z = 4*k - 6*z - 1270. What is the units digit of k?
0
Let s(f) = -4*f**3 - 1. Let y be s(1). Let c = 113 - 115. What is the units digit of (-20)/y*(c - -13)?
4
Let g = -24582 + 43250. What is the hundreds digit of g?
6
Let r(q) = 1. Let v(a) = a**2 - 10*a - 6. Let p(h) = -5*r(h) + v(h). Let m be p(-8). Suppose 8*u = 515 + m. What is the units digit of u?
1
Let i = -536 + 823. Let v = i - 221. What is the units digit of v?
6
Let d = -13862 - -20571. What is the tens digit of d?
0
Let d = -1190 - -2052. Let t = -434 + d. What is the tens digit of t?
2
Suppose t + x + 203 = -40, 3*t + 737 = -5*x. Let a = -85 - t. What is the units digit of a?
4
Let g(z) = -z**3 - 15*z**2 - 28*z - 1. Let w(y) = 3*y + 2. Suppose -40 + 35 = a. Let f be w(a). What is the tens digit of g(f)?
2
Suppose 2*p = -7*p + 171. Suppose 0 = -p*w + 18*w + 353. What is the hundreds digit of w?
3
Suppose 0 = a + 4*z - 984 - 111, 2*z + 3299 = 3*a. Suppose 14*x - 10*x - 4*m = 2156, 5*m - a = -2*x. What is the hundreds digit of x?
5
Let y = 9 - -31. Suppose -39*p + y*p = -63. Let l = 86 + p. What is the tens digit of l?
2
Suppose 17*p - 6248 = -p + 11014. What is the units digit of p?
9
Let g = -21582 + 46738. What is the thousands digit of g?
5
Suppose g - 5*g + b = -16, 3*g - b = 12. Suppose 0*w - g*w + u - 17 = 0, -w - 2*u - 2 = 0. What is the units digit of 2/4 - 26/w?
7
Let d(p) = -p**3 - 10*p**2 - 13*p - 9. Suppose -22*f + 19*f = 255. Let k = 76 + f. What is the units digit of d(k)?
7
Let q(l) = 6*l**3 + 674*l**2 - 74*l - 185. What is the hundreds digit of q(-112)?
1
Let j = 7271 - -6560. What is the tens digit of j?
3
Let k(w) = 3 + 1 + 928*w**2 - 214*w + 218*w. What is the units digit of k(-1)?
8
Suppose -6*i + 12698 = 4*k - 3*i, 4*k + 5*i - 12694 = 0. What is the tens digit of k?
7
What is the hundreds digit of 3/((-12)/(-33124)) + 2?
2
Let w be (-2)/(-2 + (-36)/(-21)). Let t(a) be the second derivative of a**4/4 - a**3/3 - 12*a**2 - 28*a. What is the tens digit of t(w)?
0
Suppose 4*q - 1905 = 5*d, -q + 0*q = -3*d - 1143. Let r = -123 - d. What is the units digit of r?
8
Let h(d) = -2*d**3 - 4*d - 12. Let k be h(0). What is the hundreds digit of 301 + ((-8)/6)/(k/27)?
3
Let g = 39836 - 20660. What is the thousands digit of g?
9
Let f be 7 + 0 + -3*1. Suppose 4*b - 84 = -f*z - 24, 0 = 2*z - 3*b - 15. What is the tens digit of z?
1
Let u(x) = 33*x**2 + 38*x - 29. What is the tens digit of u(-18)?
7
Suppose 4*s - 11 = 3*s. Let f = s - -1. Suppose 0 = f*a - 368 + 140. What is the tens digit of a?
1
Let o(z) = z - 8. Let n be o(5). Let b be (233 - 0) + (n - -7) + -2. Suppose 4*l - b = -5*c, 0 = -4*c + 5*l + 122 + 107. What is the tens digit of c?
5
Suppose -3*u + h + 2 = 0, u + 5*h - 16 = 6. What is the tens digit of (18/(-10) + u)*128*10?
5
Suppose y - 28 = -0*y + 3*d, 3*d - 104 = -5*y. Let o be ((-82)/(-5))/(y/55). Suppose 18 = p - o. What is the units digit of p?
9
Suppose -a - a + 4 = 0. Suppose -2*s + 6*s = -3*z + 16, -8 = 2*z - a*s. Suppose 0 = -2*d - 4*t - 12, 16 = -2*d - 5*t - z. What is the units digit of d?
2
Let s(g) = -71*g + 6. Suppose 0 = 3*d + o + 10, -4*o + 13 = -3*d - 7. Let n be s(d). Suppose 7*r = 2*r + n. What is the tens digit of r?
5
Suppose -3069 = -23*a + 14*a. Let w = 1182 - a. What is the tens digit of w?
4
Let h be 6*(4/(-84) + 4/(-14)). Let s be h/(-6)*265 + 5/(-15). Suppose 225 = 3*n + 4*r, n - 2*r = r + s. What is the units digit of n?
9
Suppose -2*w + 4*c - 124 = 0, -4*w = 5*c - 7*c + 242. Let x = -18 - w. What is the units digit of x?
2
Suppose 4*a - a + 2040 = -3*k, -1360 = 2*a - 2*k. What is the thousands digit of 4347/252*a/(-6)?
1
What is the tens digit of ((-472)/177)/(28/(-6195))?
9
Suppose -17 = -4*w + 11. Let u be (-6)/(-12)*(3 + w). Let t(d) = -d**2 + 17*d - 1. What is the tens digit of t(u)?
5
Suppose -2*s - 1432 = 2*s + 3*i, 0 = -4*i. Let v = 39 - s. What is the units digit of v?
7
Let i(s) = s**3 - 12*s**2 - 34*s - 18. Let z be i(-10). What is the hundreds digit of (3/9 - 3)/(4/z)?
2
Let n(a) = a**2 - 3. Let v(w) = -w**2 + w. Let m(k) = n(k) - v(k). Let q be m(4). Let s = q + 8. What is the units digit of s?
3
Let y(z) = 10*z - 16. Let u be 8/((28/35)/(4/10)). Let d be y(u). Suppose 23*k - d*k + 29 = 0. What is the tens digit of k?
2
Let f(l) = 164*l**2 - 32*l - 3. What is the hundreds digit of f(6)?
7
Let r(m) = 2*m**2 - 42*m + 107. Let w = -262 + 289. What is the tens digit of r(w)?
3
Suppose -4*z = 20, 0*z + 3*z - 1813 = -4*p. Let d = p - -100. What is the units digit of d?
7
Let b(v) = -3348*v - 6211. What is the thousands digit of b(-7)?
7
Suppose 7*x - 5*a = -4*a + 257488, 183953 = 5*x + 4*a. What is the ten thousands digit of x?
3
Let t(d) = 44*d**2 + d + 3. Let w be t(-1). Suppose 0 = -q + 11 + 99. Let y = q - w. What is the tens digit of y?
6
Let p = -11412 + 43364. What is the tens digit of p?
5
Suppose 0 = -z + 669. Suppose 0 = -3*f - 4*t + 2062, -5*f - z = -6*f - 5*t. What is the units digit of f?
4
Let u(j) = j**2 + 19*j - 17. Let m be u(-7). Let z = -107 - m. Let d = 120 + z. What is the tens digit of d?
1
Suppose 0 = 5*j - 5, -t - 108*j + 110*j = -28021. What is the thousands digit of t?
8
Let n be (44/16 - -1)*(7 - -77). Suppose 2*x + 2*v = 124, -n = x - 6*x - 4*v. What is the units digit of x?
7
Suppose 2*u + 197 = 2*s + u, 3*s = 3*u + 303. What is the hundreds digit of 50568/s - ((-9)/4 - -1)?
5
Let z = 154 - 141. Suppose z*a + 3059 = 20*a. What is the units digit of a?
7
Suppose 4*x - 12103 - 465 = 0. Suppose 23*p - 8151 = x. What is the hundreds digit of p?
4
Let t be (-13)/(-5) + (-32)/(-80). Let x(m) = 107*m - 78. What is the tens digit of x(t)?
4
Let k(z) = 483*z - 99. What is the hundreds digit of k(12)?
6
Let s(q) = 3*q**2. Let u be s(-1). Suppose u*z - 10824 = -8*z. Suppose 6*f - z = 18. What is the hundreds digit of f?
1
Let f(k) be the first derivative of k**3 + 9*k**2/2 - 15*k + 34. Let x be f(-9). Let i = x - 97. What is the units digit of i?
0
Let f = 36 + -32. Suppose 0 = 4*q - u + 8, -f*u - 3 = 13. What is the units digit of ((-9)/q)/(1 - 68/70)?
5
Suppose -28*i + 874720 = -1354030 + 395982. What is the ten thousands digit of i?
6
Suppose 5*s + 102*c = 106*c + 185628, 4*c = 2*s - 74256. What is the units digit of s?
4
Let k be (-7)/21 + 17/(-3). Let y be (-4 - k/3)*-6. What is the tens digit of y/(-10)*(-40)/1?
4
What is the thousands digit of (-9 - -5) + 0 + 17108/2?
8
Suppose 2*k - 2*v - 16 = 5*k, 0 = -2*k + v - 6. What is the units digit of (100/(-12))/(k/216)?
0
Suppose 5*c - 3 = 3*i + 7*c, 4*i + 4 = 5*c. What is the hundreds digit of 18171/108 + i + 7/4?
1
Suppose 5*f - 2 = b + 28, -b = 0. Suppose 5*r = -r + f. What is the units digit of (-1*r - 0)/(17/(-3179))?
7
What is the thousands digit of (1 + 2 - 7172)*((-49)/7 + 4)?
1
Let o be (-12)/(-4)*(-7 - -8). Suppose 0 = o*h + 2*k - 394, 0*h - 135 = -h + 3*k. What is the hundreds digit of h?
1
Suppose -152 + 566 = -23*f. What is the hundreds digit of -1 + f*(1 + -24) + -3?
4
Let h(p) = -936*p - 853. What is the tens digit of h(-20)?
6
Suppose 8431 = 5*c + v - 10248, 0 = 5*v + 30. What is the units digit of c?
7
Suppose j - 3*u = 4, 5*u + 2 = 4*j - 14. Suppose t + 4 = 2*z, -j*z - 2*t - 11 + 3 = 0. Let h(s) = s + 100. What is the tens digit of h(z)?
0
Let l be (-14)/8*(-1)/((-4)/(-16)). Suppose -l = -a - 2. Suppose x = j - x - 20, -72 = -a