s the thousands digit of j?
1
Let v(u) = -u**3 - 26*u**2 - 131*u + 80. What is the units digit of v(-24)?
2
Let z(x) be the second derivative of x**6/72 + x**5/20 + 7*x**4/24 - x**3/6 + 7*x. Let k(n) be the second derivative of z(n). What is the units digit of k(-3)?
4
Suppose -k + 3*k = -3*u + 23, -4*u + 3*k = -8. Let g(a) = -a**3 + 4*a**2 + 8*a - 3. Let c be g(u). What is the tens digit of 2*7 - c/(-6)?
1
What is the units digit of -1 - (-2 + (-6210)/9)?
1
Suppose 3*x - 865 = -a, -47*x = -a - 44*x + 883. What is the hundreds digit of a?
8
Let x be -3 - (-1)/(2 + (-39)/21). Let p = 5 - 2. Suppose -x*v = 3*t - 59, -5*v + p = -2*t + 4. What is the tens digit of t?
1
Let s be 6/4*(-2)/(-3). Let c be 84*(s - (-4)/(-16)). Suppose -4*a = 0, -3*f + a = 4*a - c. What is the tens digit of f?
2
Let k(y) be the first derivative of y**4/4 - 3*y**3 + 9*y**2/2 - 1. Suppose -i = 4*l + 4, 2*i + 3*l - 8*l - 31 = 0. What is the units digit of k(i)?
8
Let v(k) = 11*k**2 + 17*k + 7. Let j be v(-7). Let t = j - 279. What is the tens digit of t?
4
Suppose 3 = -3*g, -z - z + g + 285 = 0. What is the hundreds digit of z?
1
What is the hundreds digit of 0 + 5 + 13 + (7 - -2134)?
1
Suppose -5*k - 5 = -2*t + t, k = t - 13. Let c be 6/t + 8/5. Suppose -q + v - c = 0, -v + 5*v - 5 = 5*q. What is the units digit of q?
3
Suppose 5*l - 15 = -3*o, -2*o = 3*l - 13 + 3. Suppose -5*m + 0*p = o*p - 195, 0 = 3*m - 4*p - 117. What is the units digit of m?
9
Let k = 6242 - 2852. What is the units digit of k?
0
Let j = 72 + -119. Let a = -6 - j. Let g = a - 24. What is the units digit of g?
7
Suppose 0 = -l + 17*l - 12112. What is the tens digit of l?
5
Let n = 55 - 58. Let z = -3 - -4. What is the units digit of (-9)/2*(z + n)?
9
Let v be 1 + (3 - 1) + -3. Suppose v = u - 5*u - 16. Let t = u - -5. What is the units digit of t?
1
Suppose -6929 = -5*x - 11*p + 9*p, -4*x + 3*p + 5557 = 0. What is the units digit of x?
7
Let m = 137 + -114. Let f(x) = -x**2 + 34*x - 18. What is the tens digit of f(m)?
3
Let p = -427 - -946. What is the tens digit of p?
1
Let n(o) be the second derivative of -o**4/12 - o**2 + 6*o. Let z be n(-5). Let x = z - -42. What is the units digit of x?
5
Let y(n) = 5*n. Let k be 74/(-8) - (-7)/28. Let h = 10 + k. What is the units digit of y(h)?
5
Let v = -1526 - -2044. What is the hundreds digit of v?
5
Suppose 3*z - 3 = 0, -10 - 14 = k - 2*z. What is the units digit of k/(4/(-42)*1)?
1
Suppose -4 = -0*q - 4*q - 5*d, -4*q + 3*d = 28. Let s(m) = 7*m**2 + 2*m. What is the hundreds digit of s(q)?
1
Let p = 27 + -24. Suppose h = p*i + 9, 4*i + 5 - 33 = -2*h. What is the tens digit of h?
1
Let w = 201 + -57. What is the tens digit of w?
4
Let v(y) = y**2 - 11*y + 5. Let z be v(10). Let c = z + 4. What is the units digit of -1 - (2 - c - 5)?
1
Suppose 0 = -3*k - 2*k + 80. Suppose -4*o + 68 = k. Let j = 28 - o. What is the units digit of j?
5
Let z(a) = -3*a**3 - a**2. Suppose -2*h + 3*s + 3 - 2 = 0, h - 3 = 4*s. Let w be z(h). Suppose 170 = 3*f + w*f. What is the units digit of f?
4
Let y(h) = 70*h**3 + 9*h**2 - 7*h - 9. Let i(j) = -35*j**3 - 5*j**2 + 4*j + 5. Let v = 19 - 15. Let c(a) = v*y(a) + 7*i(a). What is the units digit of c(1)?
5
Let x(d) = d - 2 - 3 + 7 + 3*d. Let y be x(2). What is the tens digit of 314/13 + y/(-65)?
2
Let u be (-1)/(6/4)*(-18)/6. Suppose 2*y - 298 = -3*m, 7*m = u*m - 10. What is the hundreds digit of y?
1
Suppose v = 4*f - 3, -f - 2*v = f - 14. Suppose 0 = -f*a + 4*a - 292. What is the hundreds digit of a?
1
Suppose 5*o - 1 = -2*i, 2*i = -3*o - i - 3. Suppose 12 = j - o. What is the tens digit of j?
1
Suppose -4*m = -6*m - 2*o - 12, -m - 15 = 4*o. Let i(y) = -25*y. Let b be i(m). Let c = -35 + b. What is the tens digit of c?
4
Let g = 4046 + -1720. What is the units digit of g?
6
What is the tens digit of ((-455)/(-15))/((-1)/(-9))?
7
Let v(l) = 5*l**3 + 5*l**2 - 2. Let n be (-8)/10 - 19*6/(-30). What is the hundreds digit of v(n)?
1
Let a(l) = -8*l**3 - 13*l**2 - 22*l - 110. What is the thousands digit of a(-9)?
4
Suppose 3 = o, -c + 1209 = -4*o - 487. What is the hundreds digit of c?
7
What is the hundreds digit of (-361)/(-2) + 54/(-36)?
1
Suppose 5*f - f - 24 = 0. Let x be 16/f*(-15)/(-20). Suppose 4*n = x*a + 80, 2*n + 5*a - 61 = -21. What is the tens digit of n?
2
Let g(z) = 573*z - 2*z**3 + z**3 + 0*z**2 + 3 - 571*z + 5*z**2. Let h be 0/(-2) + -2 + 7. What is the tens digit of g(h)?
1
Let x(y) = 4*y**2 + 4*y - 17. Let p be x(5). What is the hundreds digit of (p - -2)*4/4*1?
1
Let k(z) = 42*z**2 + 2*z + 1. Let r be k(2). Let w = 281 - r. What is the hundreds digit of w?
1
Suppose 12*f = 7410 + 5958. What is the hundreds digit of f?
1
Let c(r) = 18*r**2 + 18*r - 146. What is the tens digit of c(11)?
3
Let w be (7/21)/(2/90). Let s = w - 4. What is the tens digit of s - -49 - (-2 - 0)?
6
Let n(l) = -l**2 - 50*l + 72. What is the units digit of n(-9)?
1
Suppose -9*g + 11*g - 66 = 0. Suppose -3*m = -45 - g. Let c = m + -16. What is the tens digit of c?
1
Let b = 60 + -66. What is the tens digit of (b + -3)*2*(-185)/15?
2
Let o(n) = n**2 + 8*n + 3. Let t be o(-8). Let i be 4/((-4)/t) - -9. Suppose i*q - 4*q = 52. What is the tens digit of q?
2
Suppose 9 = 4*a - a. Let b(u) = 8*u - 2*u + a*u + 7*u**2 - u**3. What is the units digit of b(8)?
8
Suppose -5*t - 4*a + 6294 = 0, -2*a = -3*a + 1. What is the thousands digit of t?
1
What is the units digit of (998*-1)/(91 + -92)?
8
Let z(a) = a**3 - 13*a**2 - 15*a + 14. Let l(d) = d**3 - 3*d**2 - d + 2. Let f be l(4). Let y be z(f). What is the units digit of 2/(-2) - (-2 + y)?
1
Suppose 0 = -3*o, 2*o + 20 = 4*d + o. Let z = 11 - d. What is the units digit of 2/z + (-228)/(-18)?
3
Let t(o) = -o. Let r(n) = n - 4. Let d(c) = r(c) + 6*t(c). What is the tens digit of d(-16)?
7
Let y(c) = 1069*c + 73. What is the hundreds digit of y(1)?
1
Let z(l) = 2*l**3 - 4*l**2 + 5*l. Let b be z(4). Suppose -m = -4*j + 315, 3*j = 4*j + 5*m - b. What is the units digit of j?
9
Suppose 0 = 22*v - 60*v + 9804. What is the tens digit of v?
5
Let d = 51 - 51. What is the tens digit of (-3 - d/2) + 117 + -1?
1
Let k(c) = c**3 + 5*c**2 - 3*c - 10. Let a be k(-5). Suppose 15 = a*j + 4*s, -3*s + 8*s = -25. Let u = j + 3. What is the tens digit of u?
1
Suppose q - 2*q + 11 = 4*u, 2*u + 2*q + 2 = 0. Let g be (2/3)/((-2)/(-69)). Suppose 5*m - u*m - g = 0. What is the tens digit of m?
2
Let m(u) = 3*u - 10 + 0*u + 7*u - 7*u. Suppose -5*o - 8 = -3*s, -2*s - 2*o + 32 = -0*o. What is the tens digit of m(s)?
2
Let r be (2 - 4)/(5/(-480)). Let s = -92 + r. Suppose 0 = 2*k + 5*l - 109, 6*k - 4*k + 2*l - s = 0. What is the tens digit of k?
4
Let b(d) = -d - 1. Let q(z) = z**3 + 6*z**2 - 6*z - 1. Let a(y) = -6*b(y) + q(y). Let w be a(-6). Suppose 0 = w*t - 2*t - 108. What is the tens digit of t?
3
Suppose 0 = -16*a + 22*a - 384. What is the tens digit of a?
6
Let g(a) = a**2 + 10*a - 8. What is the tens digit of g(16)?
0
Let y(o) = -o**2 + 4*o + 1. Let u be y(3). Suppose u*t = 119 + 53. Let z = t + -18. What is the tens digit of z?
2
Let b(g) = -g**3 - 9*g**2 + 11*g + 10. Let j be b(-10). Let i be -4 - (j + -3) - -3. Suppose 0 = -i*d - 4 + 18. What is the units digit of d?
7
Suppose 0 = -3*o - 15, -y + 3*y + 3*o = 465. What is the hundreds digit of y?
2
Suppose -6*i = -9*i + 12. Suppose i*o + 76 = 3*l - 38, -4*l + 180 = 4*o. What is the tens digit of l?
4
Suppose 5*h - 4*k - 21 = 0, h - 4 = -3*k + 4. Suppose -137 = -5*a + 3*i, 0 = h*a + 2*i - 142. What is the tens digit of a?
2
Suppose 5*u - 316 = 334. What is the tens digit of u?
3
Let x be ((-69)/12)/(1/(-12)). Suppose -2*w + x = -53. What is the units digit of w?
1
Let z(p) = p**3 + 11*p**2 + 12*p - 13. Suppose 0 = -j - 3*s, -3*j = -2*j - 5*s. Suppose j = 4*x - 7 + 43. What is the tens digit of z(x)?
4
Let d(w) = 37*w + 107. What is the thousands digit of d(37)?
1
Suppose 0 = -5*r - 0*r + 600. Let z be -1*(-2)/1 + 1. Suppose -8*w + r = -z*w. What is the units digit of w?
4
Suppose 4*n + 2*b = 3*b - 14, 0 = 2*n + 2*b + 2. Let j(c) = 8*c**2 + 4. Let u be j(n). Let f = u + -49. What is the units digit of f?
7
Let y(s) = 5*s**2 - s + 4. Let v be y(2). Let f = -12 + v. What is the units digit of f?
0
Let s(u) = 345*u**3 - 3*u**2 + 8*u + 2. What is the hundreds digit of s(2)?
7
What