s the thousands digit of n?
1
Let m(p) be the second derivative of p**5/10 - p**4/3 + 2*p**3/3 - 2*p**2 - 11*p. Let n be m(2). Suppose 2*q = -2*q + n. What is the units digit of q?
1
Let p = -412 - -1294. What is the units digit of p?
2
Suppose -2*q + 2*n + 146 = 0, 5*q - 3*q - 134 = -4*n. What is the tens digit of q?
7
Let u be 462/(-15) - (-4)/(-20). Let c = u + 259. What is the tens digit of c?
2
Suppose 0 = -10*x + 2079 + 12441. What is the tens digit of x?
5
Suppose -20*g = -29*g + 981. What is the units digit of g?
9
Let m = 7 + 0. Suppose -m = -h - 0*h. Suppose -2*r + h*r = 75. What is the units digit of r?
5
Let w(q) = 221*q - 54. What is the tens digit of w(5)?
5
Suppose 0 = -5*b - 3*w + 4092, 2*w = -4*b - 2020 + 5294. What is the units digit of b?
9
Let l(a) = 2*a**2 + 2*a - 5. Let u be l(7). Let j = 153 - u. What is the tens digit of j?
4
Suppose -k = -27 - 7. Let w(u) = 19*u + 157. Let n be w(-8). Suppose -n*a = 4*q - 175, -3*q = -2*q - 2*a - k. What is the units digit of q?
0
Suppose -19*m + 3498 = -8*m. What is the tens digit of m?
1
Suppose -5*p = 4*s - 1345, 7*s - 290 = -p + 2*s. What is the tens digit of p?
6
Suppose 5*p + 456 = 8*p. What is the units digit of p?
2
Let f = 516 - -216. What is the hundreds digit of f?
7
Suppose 0*p + 4*p + 4*h = 0, -5*p - h = -20. Let t(a) = -a**3 - 8*a**2 - 13*a - 5. Let v be t(-5). Let z = p - v. What is the tens digit of z?
2
Let g(n) = 11*n**3 + 33*n**2 - 15*n - 11. Let p(m) = 6*m**3 + 17*m**2 - 7*m - 5. Let i(s) = 4*g(s) - 7*p(s). What is the units digit of i(-7)?
9
Let b be (-6 - 2/(-1)) + 1. Let g be 0/b - (-104)/(-2). Let u = 94 + g. What is the units digit of u?
2
Suppose -q = -6*q + 2*s + 165, -s = -5. Suppose 39*v = q*v + 324. What is the tens digit of v?
8
Let a(g) = 2*g + 26. Let i be a(-17). Let v(h) = -15*h - 55. What is the tens digit of v(i)?
6
Let l(q) = 4*q**3 - q**2 + 8. Let t(d) = -d**3 + d**2 - d - 1. Let z(s) = -l(s) - 5*t(s). Let k be z(3). Let i = k + 0. What is the units digit of i?
3
Suppose 20*j = -5*j + 8400. What is the tens digit of j?
3
Suppose 30*j + 3*d = 26*j + 5349, 3*j + d = 4013. What is the hundreds digit of j?
3
Suppose -4*q - h = 11, -2*q + 3 = -2*h + 1. What is the units digit of 5/(q/270*-3)?
5
Let j = 206 - 96. Suppose 2*l + 8*q - j = 4*q, -l - q = -59. What is the tens digit of l?
6
What is the thousands digit of (10 - (-128)/(-8)) + 2412?
2
Suppose 9667 - 2209 = 22*w. What is the hundreds digit of w?
3
Let m be 10/50 - ((-3528)/10 - 2). Let b = m + -231. What is the units digit of b?
4
Let w = -6 + 8. Let f(u) = u**2 - 14*u + 10. Let l be f(19). Suppose -m - w*m = -l. What is the tens digit of m?
3
Suppose -3*b = -6, 5*m - b + 4*b = 16. Suppose 4*a = -2*z - 14 - 106, 3*z + m*a + 168 = 0. What is the units digit of (z/45)/(3/(-10))?
4
Let h be 22/121 + (-92)/22. Let q be h/(-8) - 586/(-4). Suppose 0 = -v + 4*v - q. What is the tens digit of v?
4
Let d(j) = -j**2 + 6*j - 4. Let h be d(5). Let x = h - -3. Suppose 63 = -x*t + 7*t. What is the tens digit of t?
2
Suppose -2*i = 2*i, -4*s = -2*i. Suppose s = -5*l + 131 + 54. Let m = l + -3. What is the tens digit of m?
3
Let c = 272 - 62. What is the units digit of c?
0
Suppose -1134 = -2*d + 4*l + 2684, -3*d + 5755 = l. What is the hundreds digit of d?
9
Suppose 2*o = 90 + 104. What is the tens digit of o?
9
Let h = 0 - 1. Let b(r) = r**2 + r + 1. Let a be b(h). Suppose 5*i - 4*m - 18 = 0, -5*m = 4*i + 1 + a. What is the units digit of i?
2
Suppose 628*q - 631*q = -2580. What is the units digit of q?
0
Let g(n) be the second derivative of 17*n**3/6 + 5*n**2/2 - n - 194. Let p = 5 - 2. What is the tens digit of g(p)?
5
Suppose 4 = 2*j - 6*j. What is the units digit of (52/14)/(j/(-7))?
6
Suppose 147*j = 144*j + 3939. What is the hundreds digit of j?
3
Let f(k) = 34*k + 33 - 2*k - 3*k. What is the tens digit of f(11)?
5
Let y(p) = -37*p**3 - p**2. Suppose 2*a + 6 = 4. Let g be y(a). What is the units digit of 8/g + 266/18?
5
Let a(o) = 4*o - 9 + 16*o - 4*o. What is the units digit of a(5)?
1
Let s = 53 - 53. Suppose -6*l + 93 - 3 = s. What is the units digit of l?
5
Suppose -3*h + h = 3*c + 14, -3*c - h = 19. Let u = c - 1. Let j(s) = s**3 + 10*s**2 + 8*s - 7. What is the units digit of j(u)?
2
Let y = -8 - -9. Suppose -d + 8 - y = 0. Let m = d + -1. What is the units digit of m?
6
Suppose -4*i = -3*k - 57, 5*i - 3*i = 5*k + 25. Suppose 0 = -2*g - 3*j - 0 - 5, g - i = 2*j. Suppose -35 = -0*c - g*c. What is the units digit of c?
7
What is the tens digit of 10/((-4)/2)*6448/(-155)?
0
Let p(z) = 0 + 9*z**2 - z**3 + 1 + 10 - 8*z + 0. Suppose 0*x + 16 = 2*x. What is the tens digit of p(x)?
1
Let o = 328 - -566. What is the hundreds digit of o?
8
Suppose 2*m - w - 1959 = 0, 0 = 21*m - 26*m - 2*w + 4920. What is the hundreds digit of m?
9
Let s(z) = 7*z**2 - 2*z + 20. Let d be s(6). Suppose d = 15*w - 10*w. What is the units digit of w?
2
Let r(l) = -l**3 + 6*l**2 + 2*l - 7. Let u be 2 + -1 - (8 - 4). Let q = 2 - u. What is the units digit of r(q)?
8
Let t(v) = -3*v**2 - 11*v**3 + 7*v - 3 + 0 + 10*v**3 - 8. What is the units digit of t(-5)?
4
Suppose -37 = -2*t - 17. What is the tens digit of 418/6 - t/15?
6
Let y be 60 - (0 - -2) - 3/(-3). What is the tens digit of (-1 - -2)*y + 1?
6
Suppose 0 = 41*t - 57116 - 27098. What is the thousands digit of t?
2
Let k(c) = 6*c + 15. What is the tens digit of k(0)?
1
Suppose -88543 = -36*t - 17767. What is the tens digit of t?
6
Let f = -2 - -4. Let l(i) = -50*i**3 - 3*i + 0*i**f - 5*i**2 - 2 + 4*i**2. What is the tens digit of l(-1)?
5
Let i = -723 - -952. What is the hundreds digit of i?
2
Let b = -26 + -14. Let m = b + 105. What is the tens digit of m?
6
Let y = 1658 + -1183. What is the tens digit of y?
7
Suppose -2*v = -v - 3. Suppose n = -v*n - 632. What is the units digit of n/(-6) + (-18)/(-27)?
7
Let g(o) be the third derivative of -o**4/6 + 3*o**3 + 4*o**2. What is the units digit of g(-8)?
0
Suppose -2*z + 39 = -5*s + 14, 5*s = -3*z - 25. What is the units digit of (5 + z)*(-338)/(-65)?
6
Suppose 0*y = -y - 36. Let x = -9 - y. What is the units digit of x?
7
Let l(v) = -v**2 + 8*v + 2. Let f be l(2). Suppose -2*k + 66 = f. What is the units digit of k?
6
Let x(d) = d**3 + 6*d**2 - 1. Let v(j) = j**3 + 6*j**2 + 2*j - 2. Let o be v(-4). Suppose -5*b = -o + 47. What is the units digit of x(b)?
4
Let g = 2798 - 1880. What is the tens digit of g?
1
Suppose -4*r - 5*z + 14055 = 0, 5*r + 3*z = 20794 - 3222. What is the thousands digit of r?
3
Let a(f) = -76*f + 11. What is the tens digit of a(-8)?
1
Suppose 5*k = -25, 4*k - 2*k = 2*g - 154. Suppose 2*u = g + 118. What is the tens digit of u?
9
Let k be 6 - (-9090)/35 - (-2)/7. Suppose k = 2*b + 22. What is the hundreds digit of b?
1
Suppose 0 = 128*p - 121*p - 22407. What is the tens digit of p?
0
Let r(x) be the second derivative of x**4/4 - x**3/6 - x**2/2 + 21*x. What is the units digit of r(-5)?
9
Let u(h) = -h**2 - 14*h + 8. Let x be u(-14). Suppose 0 = -4*l + x, 7*r - 979 = 4*r - 2*l. What is the hundreds digit of r?
3
Let m(y) = -y**3 - 5*y**2 - 4*y - 3. Let r be m(-5). Suppose 29 = b + 4*x, -5*b - x = -5*x - 25. Let g = b + r. What is the units digit of g?
6
Let k(d) = -d**2 + 11*d - 2. Let y be k(10). Let x(n) = -2*n - 3. Let g be x(-3). Suppose -y*l + 4*w + 42 = -g*l, w = -4*l + 42. What is the units digit of l?
0
Suppose -18*w - 15 = -23*w. Suppose -w*o - v + 431 = 0, 0 = 2*o - 0*v + 4*v - 294. What is the tens digit of o?
4
What is the units digit of (-669)/((-55)/30 + (-1)/(-3))?
6
Suppose 2*y + 2*h = 0, -h - 9 = -5*y - 21. Let v be (-1 - y)*6/2. Suppose 4*w + v*g = 30, -2*w - 4*g = -6 - 14. What is the units digit of w?
6
Let j be ((-4)/(-6))/((-5)/(-15)). Let p = 23 + -16. Suppose 0 = -j*r + p*r - 110. What is the units digit of r?
2
Let t(z) = -11*z + 2. Let a(s) = 5*s - 1. Let b(i) = -5*a(i) - 2*t(i). What is the units digit of b(-7)?
2
Suppose -5*j - 159 = -q, q + 2*j - 169 = -3. Suppose b + 2*o - q = -b, 2*o + 221 = 3*b. What is the units digit of b?
7
Suppose 3*t = -2*t + 5*k, t + 2*k = 0. Suppose -11*r = -t*r - 1177. What is the hundreds digit of r?
1
Let m(k) = 84*k**2 + 33*k + 157. What is the tens digit of m(-5)?
9
Suppose 5*h - 8*j - 4 = -4*j, -2*h - 1 = j. Let p(b) = -3*b. Let f be p(-6). 