1. What is the hundreds digit of n?
1
Let t = 18 - 15. Suppose 12*b - 2098 = 9*b - k, t*b = 2*k + 2113. What is the units digit of b?
1
Suppose -111*i = -121*i + 240. Let p = -107 + 156. Let s = i + p. What is the tens digit of s?
7
Let q(o) = 5*o**2 + 13*o - 9. What is the hundreds digit of q(27)?
9
Suppose 65795 = 5*r - 5*q, 10024 = r - 3*q - 3133. What is the hundreds digit of r?
1
Let g(k) = 6101*k - 378. What is the hundreds digit of g(3)?
9
Let v(k) be the second derivative of -2*k**3/3 - 7*k**2 + k. Let n = -1825 - -1813. What is the tens digit of v(n)?
3
Let a be 330/(-25) + 2 + 1/5. Let s be 26/14 + a/(-77). Suppose -3*r - 465 = -3*q, -7*q + 763 = -2*q - s*r. What is the units digit of q?
1
Suppose 5*j + 5 + 10 = 0, 5*g - 62 = 4*j. Suppose -g*t + 752 + 548 = 0. What is the hundreds digit of t?
1
Suppose 5930 = -14*x + 19*x. Let b = 2062 - x. Let d = b - 608. What is the units digit of d?
8
Suppose -1847978 = -182*z - 36*z + 2882622. What is the units digit of z?
0
Suppose 759*p + 13412 = 761*p. What is the tens digit of p?
0
Suppose -j + 5*o + 146 = 0, -j + 4*j = -2*o + 353. Suppose -114*s + j*s = 2681. What is the tens digit of s?
8
Let w(a) = 9*a - 21. Suppose 3*j + 21 = 6*j. Let k be w(j). Let x = -9 + k. What is the units digit of x?
3
Let p = 163 - 678. What is the tens digit of 2/(-4)*(1 + (p - 0))?
5
Suppose -25923 = -2*z - u + 75681, 0 = -5*z - 5*u + 254010. What is the ten thousands digit of z?
5
Let f = 67075 + -3126. What is the thousands digit of f?
3
Let l = 758 + -590. Let m = 307 - l. What is the hundreds digit of m?
1
Let m(f) = 4*f. Let n be m(-3). Let h = 237 + -149. Let z = n + h. What is the tens digit of z?
7
What is the hundreds digit of 1/((-14)/(-363500)) - (-2110)/(-7385)?
9
Let j(s) = 202*s**3 - 7*s**2 + 2*s + 14. Let u be j(4). Suppose 23*h - u = -3707. What is the hundreds digit of h?
3
Let x(d) = 1432*d**3 + 4*d**2 - 5*d + 4. Let w be x(2). Suppose 36*k - w = 15*k. What is the hundreds digit of k?
5
Let v(a) = -11932*a - 7903. What is the tens digit of v(-5)?
5
Suppose d = -6 + 10. Suppose d*c - 2*u = 50, -1 = -4*c - u + 34. Suppose 2*j = 42 - c. What is the tens digit of j?
1
Let f = 17 - 5. Let l = -17 + f. Let h(i) = -11*i + 3. What is the units digit of h(l)?
8
Suppose 24*h = 20*h - 180432. Let m be h/(-44) + (-10)/55. Suppose 4*o - m = -f, 2*o + 3*o = -4*f + 1284. What is the tens digit of o?
5
Let c = 292 - 289. Suppose v - 41 = c*u - 210, 2*v + 280 = 5*u. What is the units digit of u?
8
Suppose 3*y + 3*o - 6*o - 53232 = 0, -17724 = -y - 3*o. What is the hundreds digit of y?
7
Suppose -4*l + 2*l - 4*o = 12, -5*l - 5*o = 15. Let u(y) = y**3 + y**2 - 3*y + 480. What is the hundreds digit of u(l)?
4
Suppose -5*l = 3*t - 8310, 15*l - 5*t + 4986 = 18*l. What is the units digit of l?
2
Let z = 5152 + 1466. What is the hundreds digit of z?
6
Let v(x) = -579*x + 2148. What is the thousands digit of v(-13)?
9
Let n(y) = -y**3 + 9*y**2 - 25. Let v be -33 - (3 - (-4)/(-1)). Let c be (-1 - (-10)/4)/((-6)/v). What is the units digit of n(c)?
9
Let m = -848 - -890. Suppose -2*c + 43 = 3*c + 4*h, -49 = -5*c - 2*h. Suppose -c = -43*a + m*a. What is the tens digit of a?
1
Let q = -19 + 20. Let m(z) = 345*z**2 - 2*z + 1. Let w be m(q). Suppose -82*l + w = -78*l. What is the tens digit of l?
8
Suppose 0 = -51*g + 55*g - z - 172453, 5*g - z - 215565 = 0. What is the units digit of g?
2
Let u be (-736)/96*(-1 + 4). Suppose 0 = 4*t - 3*q - 86 + 14, -5*t + 71 = q. Let n = t - u. What is the units digit of n?
8
Let g(x) = x**2 - x - 2. Let f be g(6). Let d be ((-55)/(-22))/((-5)/(-4)) - -24. Let k = d + f. What is the tens digit of k?
5
Let k = 19627 + 10891. Suppose k = 35*x + 5703. What is the tens digit of x?
0
Let s = -15577 + 31968. What is the hundreds digit of s?
3
Let w(q) = -q**3 + 13*q**2 + 67*q + 19. Let u be w(17). Suppose u*h - 1325 - 167 = 0. What is the units digit of h?
6
Let i be 3 - (-1*(-4 - -10))/(-3). What is the units digit of (-308)/(i*(2 + -3))?
8
Suppose 0 = 3*m - g - 12, -4*m - 4*g + 9*g = -16. What is the tens digit of 8/m*(1702/4 - 1)?
4
Let u be (48/(-20))/(1/5). What is the tens digit of 3/u + ((-14145)/(-20) - 1)?
0
Suppose 9*x - 63 = -369. Let p(z) = z**2 + 33*z + 23. What is the units digit of p(x)?
7
Let j(u) = 49*u**3 - 2*u**2 + 22*u. Let m be j(-5). What is the tens digit of (m/30)/(1/(-2) + 0)?
1
Suppose 0 = 7*x - 0*x - 224. Suppose -x*o = -34*o + 1060. What is the tens digit of o?
3
Suppose 3*q + 9 - 9 = 0. Suppose 10*y - 10613 + 973 = q. What is the tens digit of y?
6
Suppose -5*r - 108425 = -5*g - 23680, 2*r = 3*g - 33903. What is the units digit of 1/(-7) - r/28?
5
Let q = -33 - -30. Let j(i) = 4*i + 8. Let g be j(q). What is the units digit of ((-6)/g)/((-1)/(-34))?
1
Let h(o) be the third derivative of o**6/120 - 13*o**5/60 - 5*o**4/8 + 17*o**3/3 + 14*o**2. Let v be h(14). Suppose l - v = 66. What is the tens digit of l?
8
Suppose 2*r + 368 = -u, -2*u + 0*u - 776 = -4*r. What is the thousands digit of ((u/28)/(-27))/((-2)/(-6168))?
1
Let x = 24191 - 13869. What is the hundreds digit of x?
3
Suppose -215 - 97 = -8*w. Suppose -2*j + m = -w, -2*j - 8*m + 13*m = -51. What is the units digit of j?
8
Let j = 16 - 22. Let m = -496 - -492. What is the units digit of m/j - (-12)/9?
2
Suppose 106*p = 131584 - 19224. What is the units digit of p?
0
Suppose 3*x + 49 = 4*s + 8*x, 5*s - 77 = -x. Suppose 8*a - s*a = -3952. What is the units digit of a?
4
Let d = 33 + 0. Let j(w) = w**3 + 16*w**2 - 17*w + 6. Let u be j(-17). What is the tens digit of 1*(4/u)/(2/d)?
1
Let n(x) = 3 - 4 + 0 + 110*x**2 + 6. Let t be n(3). Suppose -5*y = 5*a - t, 4*a = -5*y + 4*y + 787. What is the hundreds digit of a?
1
Suppose 4*x + 281 - 301 = 0. Suppose -381 - 268 = -2*u + 3*g, 1605 = x*u - 4*g. What is the units digit of u?
7
Let v(y) be the third derivative of y**5/30 + 5*y**4/12 + 5*y**3 + 15*y**2 - 8*y. What is the units digit of v(-20)?
0
Suppose -7*w - 169 = 139. Let c be (-5)/(2 - 17)*285. Let t = w + c. What is the tens digit of t?
5
Suppose 3*m = 2984 - 182. What is the hundreds digit of m?
9
Let h(t) be the third derivative of 5*t**4/6 + t**3/2 - t**2. Let d(o) = o**2 - 12*o - 39. Let s be d(-3). What is the units digit of h(s)?
3
Suppose 2*y - 3*d = d + 2, 0 = 5*y + 3*d - 70. Let s be 1875/33 + 2/y. Suppose x = s + 37. What is the tens digit of x?
9
Suppose 0 = -2*u + 3*m + 8, -34*u + m = -36*u + 8. Suppose u*q = -3*c + 2505, -828 = -c + 4*q - 3*q. What is the units digit of c?
1
Let t = 2184 - 2044. What is the hundreds digit of t?
1
Let g = 20107 + -12606. What is the hundreds digit of g?
5
Suppose 0 = -2*i - 3*o + o - 232, -5*o - 5 = 0. Let s = 245 + i. What is the hundreds digit of s?
1
Suppose 43*x - 45*x = 2050. Let i = 298 - x. What is the tens digit of i?
2
Suppose -9*b + 800 = 2744. Let i be ((-7)/3)/(3/b). Suppose -5*v = 2*j - i, 3*v - 76 = j + 4*j. What is the units digit of v?
2
Let u(q) = -q**3 + 20*q**2 - 17*q - 47. Let s be 3/(-2)*456/(-36). Let m be u(s). What is the tens digit of (-1010)/(-6) - 6/m?
6
Let o = 33190 - -4755. Suppose o = 36*q + 5869. What is the tens digit of q?
9
Let p = -4 + 8. Let a = 710 + -715. What is the units digit of (p + -133 - a)*(-1)/4?
1
Let z = -84456 - -153041. What is the hundreds digit of z?
5
Let j = 17940 + -11656. What is the hundreds digit of j?
2
Let f(a) = 12*a**2 + 3*a + 215. What is the thousands digit of f(-19)?
4
Suppose 1713 = 2*j + x, 51*x - 56*x + 1717 = 2*j. What is the units digit of j?
6
Let s(j) = 11*j + 21. Let v be s(5). Suppose 82*y - 2370 = v*y. What is the hundreds digit of y?
3
Suppose 2*g - 9850 = -2*v, 5*v + 24605 = -3*g + 8*g. What is the tens digit of g?
2
Let l(p) = 29*p + 35. Let z be l(6). Let q = z + 176. What is the hundreds digit of q?
3
Suppose 0 = -2*u - 10 + 70. Let y = u - 23. What is the tens digit of (1 - (-4 + y)) + 84?
8
Suppose 69*v - 1497006 = -593*v + 19684346. What is the hundreds digit of v?
9
Let h(f) = -854*f - 131. What is the hundreds digit of h(-20)?
9
Let c = -86 - -10620. What is the tens digit of c?
3
Let m(o) = 2*o**3 - 6*o**2 + 9*o - 53. Let r be m(5). Suppose -31*w + 29*w = -r. What is the units digit of w?
6
Suppose -8*s + 3*s + 25 = -5*n, -3*n = -4*s + 20. Suppose 0 = -2*r - 7*o + 4*o + 16, s*