hat is the thousands digit of v?
1
Let d(r) be the second derivative of r**6/360 - r**5/60 - r**4/24 + r**3/3 + 2*r. Let s(c) be the second derivative of d(c). What is the tens digit of s(6)?
2
Suppose -3*v + 5*v = 5*m - 40, 2*m - 16 = -2*v. Let j(s) = 4*s**2 - 5*s - 33. What is the units digit of j(m)?
3
Suppose 0 = 17*o - 36*o + 7182. What is the units digit of o?
8
Let u be (-393)/(-21) + 8/28. Suppose s = -2*t + 57 + u, 4*s - 294 = 2*t. What is the units digit of s?
4
Suppose 4*w - 1612 = -4*m, 0*w - m + 1615 = 4*w. Suppose -6*t + 9*t + 4*o - w = 0, 682 = 5*t - 2*o. What is the units digit of t?
6
Let t = -76 - -78. Suppose 2*x - 429 = l, x - 641 = -2*x + t*l. What is the hundreds digit of x?
2
Let o = 5098 - 1742. What is the tens digit of o?
5
Suppose 0 = -0*d + 3*d + 288. Let h = d - -171. What is the tens digit of h?
7
Let s(n) = 2*n**2 - 7*n + 12. Let y be s(5). Suppose -3*h = -3*m - y, 0 = 2*h + 3*m + 2*m + 17. What is the units digit of h?
4
Let b(d) = d**3 + 3. Let l be (-4 + 3)*3 - -3. Suppose 0*m - 2*m = l. What is the units digit of b(m)?
3
Let l(n) = -n**2 + 16*n - 2. Let j be 1/(-2)*8*7. Let f be (j + 4)/(-2) - -2. What is the units digit of l(f)?
6
Let n(r) = -4*r + 3. Let x be n(3). Let d = x - -44. What is the units digit of (-4)/10*d/(-14)?
1
Suppose 4*b + 62 = -58. What is the units digit of (-2)/(-5) - 2418/b?
1
Suppose 5*s - 5*v = 13520, 8133 = 3*s - 7*v + 11*v. What is the thousands digit of s?
2
Let d = 1965 + -1011. What is the hundreds digit of d?
9
Let s be -12 + (-8 - -4)/1. Let p(c) = -c**3 - 16*c**2 - c - 3. What is the tens digit of p(s)?
1
Let s = 4 - 7. Let p be (-1)/((1 - s)/(-320)). Let d = p + -48. What is the tens digit of d?
3
Suppose 5*a = 2*z - 5*z + 1451, -4*a + 1164 = 4*z. What is the tens digit of a?
8
Let o = -200 - -214. What is the tens digit of o?
1
Suppose 3*g + 5*r = 14, -4*g - 3*r = r - 16. Suppose 7*m - 1000 = -g*m. What is the units digit of m?
0
Suppose -53 = 3*b + 43. Let w = 30 + b. What is the units digit of -3*(w + 1 + -1)?
6
Suppose -40140 = -8*g - 22*g. What is the tens digit of g?
3
Suppose 45*w = 2049 - 654. What is the tens digit of w?
3
Suppose -5*m - 2*w - 4 = -0*m, -4*w = m - 10. Let d(l) = -94*l + 4. What is the units digit of d(m)?
2
Let c(f) = -f - 6. Let b be c(-8). Suppose -5*j - 7 = -4*l + 2*l, 0 = b*j - 2. Suppose -l*x = -x - 25. What is the units digit of x?
5
Suppose -2*s + 4*h + 1864 = 0, 3*s + h - 2782 = -0*s. What is the tens digit of s?
2
Let k(j) = 11 + 36*j + 12*j + 175*j - 9. What is the tens digit of k(1)?
2
Let g = 937 - 315. What is the units digit of g?
2
Suppose u + 4 = -2. Let a(r) = -r + 3. Let m be a(u). Suppose 3*g = 12 + m. What is the units digit of g?
7
Suppose -2*b + 2*z = -2068, -b - 61*z + 1042 = -58*z. What is the thousands digit of b?
1
Let j(z) = 6*z**2 - 7*z + 10. Let g = 24 + -27. Let p = 1 - g. What is the units digit of j(p)?
8
Suppose 2*v = -9*h + 8*h + 951, 1425 = 3*v + h. What is the tens digit of v?
7
Let q(u) = -4*u + 30. Let p be q(7). Suppose -5*f + 2*a = -1033, a - 43 - 372 = -p*f. What is the tens digit of f?
0
Suppose -2033 = -3*w + 4*z, -3*z + 3369 = -w + 6*w. What is the units digit of w?
5
Let g(a) = a**2 - a - 3. Let d be g(-2). Suppose -2*m + 3*x + 364 = 0, d*x = -5*m + x + 910. What is the tens digit of m?
8
Suppose 6*q - 5*q = 104. What is the hundreds digit of 16/q + (-1610)/(-13)?
1
Let i(t) be the third derivative of 7*t**4/12 + t**3/3 + 2*t**2. Let x be ((-4)/(-6))/(26/39). What is the tens digit of i(x)?
1
Let h(d) = d**3 + 15*d**2 + 33*d + 8. What is the tens digit of h(-8)?
9
Let i be 4/(-18) - (-263)/9. Let d = 41 - i. Suppose 3*z - d = 69. What is the units digit of z?
7
Let p(f) = 3*f**2 - 19*f + 18. Let s(n) = n**2 - 6*n + 6. Suppose 5*g = 43 - 3. Let l(x) = g*s(x) - 3*p(x). What is the units digit of l(8)?
2
Let t(h) = -h**2 + 14*h - 14. Let p be t(13). What is the hundreds digit of p/(-4) - (1414/(-8) - -2)?
1
Let q(u) = -2*u + 1. Let c be q(-2). Let d be (c - 2) + -2 - -3. Let s = 23 - d. What is the tens digit of s?
1
Let h be 4 + (-8)/4 - -3. Suppose -2*j + u = -3*u + 76, 0 = -5*j + h*u - 215. What is the tens digit of (j/20)/(4/(-30))?
1
Suppose -2*w + 1850 = -4*j + j, w - 924 = j. What is the hundreds digit of w?
9
Let b(f) be the second derivative of -5*f**3/3 - f**2/2 + 4*f. Suppose 0*n - 20 = 5*m + 2*n, 0 = m - 4*n + 26. What is the units digit of b(m)?
9
Suppose -4*o + 3*t + t + 8 = 0, 0 = -4*o - 4*t + 8. Suppose -2*p - 4*i = 0, 0 = p - 4*i - o - 4. Suppose 0 = -p*q + 19 + 37. What is the tens digit of q?
2
Suppose 42 = 4*u - 42. Suppose 3*c = 3*n - 6, -5*n = -3*n + 3*c + u. Let l(d) = 2*d**2 + d + 3. What is the units digit of l(n)?
8
Let q be (-5252)/(-6) - (-44)/(-33). Suppose 4*k - q = 3*g, -1087 = -5*k - 2*g + 3*g. What is the hundreds digit of k?
2
Suppose -y + 3*b = 95, -2*y + y - 87 = -5*b. Let u = y + 207. What is the units digit of u?
0
Let y be (6 + 120/(-18))*(-21)/2. Let z(u) = u**3 - 7*u**2 + 6*u + 8. What is the units digit of z(y)?
0
Let l be (-178)/(-4) - (-5)/10. Suppose 0 = -0*j - j + v + 57, -j = 2*v - l. What is the units digit of j?
3
Let u = -166 + 180. Let r = 259 - 39. What is the tens digit of r/u + 2/7?
1
Suppose 44*b - 38*b - 1260 = 0. Let y = b + -72. What is the units digit of y?
8
Let s be (-4)/1 + (-1 - -6). What is the tens digit of s + (-11)/13 - (-1604)/52?
3
Suppose -2*z = 4*o - 10558, -30*z + 29*z = 5*o - 13205. What is the units digit of o?
2
Let u = 376 - 209. What is the tens digit of u?
6
Suppose -24*w = -19*w. Let r(t) = t**3 - t**2 + 81. What is the tens digit of r(w)?
8
Let o = 8 + -8. Suppose -2*g + 22 = -o*g. Suppose -5*u = 2*w + g, 3*u + u + 18 = 3*w. What is the units digit of w?
2
Let o(u) = 3*u**2 - 10*u - 3. What is the tens digit of o(-8)?
6
What is the hundreds digit of ((-78)/(-4))/((-33)/(-4664))?
7
Let a(w) = w**2 + 11*w + 12. Let f be a(-11). Let o be (-18)/4*(-8)/f. Suppose -4*v + o*n = -41, 2*v - 3*v + 14 = 3*n. What is the tens digit of v?
1
Let x(l) = l**2 - 7*l + 4. Let b(n) = -2*n - 1. Let z be b(-4). Let g be x(z). Suppose -34 = -g*y + 42. What is the units digit of y?
9
Let m(c) = c**3 + 9*c**2 - 20*c + 42. What is the tens digit of m(-11)?
2
Let d(c) = -4*c**2 + 6*c - 2. Let u(n) = -9*n**2 + 13*n - 4. Let x(v) = -5*d(v) + 2*u(v). What is the units digit of x(-6)?
8
Let i = 812 + 1383. What is the hundreds digit of i?
1
Let v be (-1)/(-5) - 3285/(-75). Suppose v = 6*c - 5*c. What is the tens digit of c?
4
Let g be 2 + (4/(-2) - -5). Suppose -w - 3 = -0*w + r, 0 = w - g*r + 27. What is the tens digit of (-5 - w)*(-50)/(-4)?
2
Let u(v) = v**3 + 29*v**2 + 64*v - 13. What is the hundreds digit of u(-26)?
3
Let n(d) be the second derivative of 4*d**3/3 - 8*d**2 + 10*d. What is the units digit of n(15)?
4
Let j = -1590 + 2742. What is the thousands digit of j?
1
What is the tens digit of ((-393)/(-5))/((-75)/(-250))?
6
Suppose 4879 = 22*f - 5*f. What is the tens digit of f?
8
Suppose 0 = -4*n + 79 - 23. Let k = -14 + n. Suppose q + 2*q = -4*a - 10, -4*q - 3*a - 4 = k. What is the units digit of q?
2
Let z = 11 + -8. Let h(y) = y + 2. Let b be h(z). Suppose -b*f = 3*k + 2*k - 105, k - 5*f = 15. What is the tens digit of k?
2
Let m be 21 - -60 - (2 - 1). Suppose 2*d + 6 = 0, -4*w - d + 321 - m = 0. What is the tens digit of w?
6
Let z = 29 - 27. Suppose -4*b + z*b = -98. What is the units digit of b?
9
Suppose -d = d - 44. Let n = 80 - 78. Suppose n*t = -d + 142. What is the units digit of t?
0
Let l(u) = -3*u**2 + 2. Let k be l(0). Suppose -d + 147 = -5*x, -7*d + 480 = -4*d - k*x. What is the hundreds digit of d?
1
Let b(f) = 2971*f**2 - 2*f. What is the thousands digit of b(-1)?
2
Suppose 3*y = 2*y + 2, -g + 5 = y. What is the units digit of ((-532)/6)/(7/3 - g)?
3
Suppose 0 = 5*d - 2*m + 417 + 214, -d - 121 = -3*m. Let y = d - -90. Let a = y - -99. What is the tens digit of a?
6
Let i be 1/(1/(6 + -1)). Suppose i*z = 5, 2*z + 159 = 2*w - 3*z. What is the units digit of w?
2
Suppose -11*n - 384 = -14*n. What is the hundreds digit of n?
1
Suppose -35*d = -80164 - 11116. What is the thousands digit of d?
2
Let w = -19 - -48. Let q be -2*(-1 + (-9)/(-3)). Let h = w + q. What is the tens digit of h?
2
Suppose -2*m = 3*r - 872, 4*m - 2180 = -m 