units digit of 1/h - (-3822)/65?
9
Let c(o) be the first derivative of o**2/2 + 10*o + 6. Let s be c(-8). Suppose y + s*y = 201. What is the units digit of y?
7
Let t(l) = 19*l**3 + 2*l**2 + 5*l - 17. What is the units digit of t(4)?
1
What is the units digit of (-24)/12 - (-3078 + -3)?
9
Let n(f) = f**2 + 13*f + 18. Let o be n(-13). Suppose o*z - 2 = 17*z. Suppose z*u = 9*u - 63. What is the units digit of u?
9
Suppose 1392 + 4080 = 16*j. What is the tens digit of j?
4
What is the units digit of (-106 - -127)*(-1 + 5/3)?
4
What is the units digit of (4/9)/2 - 2580068/(-558)?
4
Let l(c) = -18*c + 100. What is the hundreds digit of l(-3)?
1
Let q(k) = -k**2 - 7*k - 9. Let l be q(-3). Suppose -2*m = 5*c - 31, -8 = -m - l*c - c. What is the units digit of m?
8
Let j be 1/(-4)*((6 - 0) + -14). What is the hundreds digit of (54/(-12) - -3) + 389/j?
1
Suppose 0 = -4*j + 3*y + 2, -3*j + y - 2 = -3*y. Suppose -2*i = 3*w + j*w - 257, 65 = w - 3*i. What is the units digit of w?
3
Let y(s) = s**2 - 4*s + 1. Let g be y(3). Let c be (g - (-15)/6)*6. What is the units digit of (c + 0)/((-4)/(-12))?
9
Let g(r) = -r**3 - 10*r**2 - 7*r + 5. Let d be (5/(-2))/(2/8). What is the units digit of g(d)?
5
Suppose -4*k + 36 + 12 = 0. Let f be (-1)/2 + 30/k. Suppose 2*a - 180 = -f*a - 4*z, 5*a = -3*z + 233. What is the tens digit of a?
4
Let a(d) = 2*d - 20. Let f be a(11). Suppose 187 = f*c - 29. What is the hundreds digit of c?
1
Suppose 3*w - 39 = -5*i, -2*w + 7*w = i + 9. Suppose -8 = -2*k + i*k, 3*k + 314 = 4*j. What is the tens digit of j?
7
Let h(t) = t**3 - t**2 - 2*t + 36. Suppose 0 = -9*c + 4*c + 55. Suppose -16*f = -c*f. What is the tens digit of h(f)?
3
Suppose 0 = 6*o - o - 2215. Suppose -4*z + o = 3*c, 3*c - 272 = -2*z - 49. What is the tens digit of z?
1
Suppose -3*c - 3 = -j + 1, -12 = -3*j - 2*c. Suppose -5*v = -2*o - 3*v + 26, 5*o + j*v = 110. What is the units digit of o?
8
Let d be (-32)/(-6) - (-7)/(-21). Suppose d*s + 135 = -30. What is the units digit of (s/(-9))/(4/12)?
1
Let x(w) = -w**3 - 7*w**2 - w - 1. Let p be x(-7). Suppose -6 - p = -4*z. What is the units digit of z?
3
Suppose -8*t - 5920 = -28*t. What is the hundreds digit of t?
2
Let h(i) = -3*i**2 - 2*i**3 + i**3 + 0*i + 9*i**2 - 6 + 3*i. Suppose 2 = 5*d - 28. What is the units digit of h(d)?
2
Let n(r) = r**3 + 35*r**2 + 40*r - 56. What is the tens digit of n(-33)?
0
Suppose j + 497 = -247. What is the tens digit of (-6)/(-4)*j/(-36)?
3
Suppose -4*m + 140 = 2*q - 16, 2*q - 2*m - 174 = 0. Suppose -2*s = -q - 48. What is the tens digit of s?
6
Let k(z) = z + 7. Let t be 4/14 + 279/(-21). Let p = -9 - t. What is the tens digit of k(p)?
1
Let u(h) = 33*h**2 + 1. Let t be u(-3). Suppose 2*g = 2*o - t, -5*g + 43 = o - 82. Let n = o - 100. What is the tens digit of n?
4
Let o(v) = 2*v - 13. Let t(u) = 10 - u + 4 + 0. Let q(y) = 5*o(y) + 4*t(y). What is the units digit of q(5)?
1
Let z = -1469 + 1976. What is the tens digit of z?
0
Let j(h) = 42*h**3. Let m be j(1). Let o = m - 73. Let p = 53 + o. What is the units digit of p?
2
Let r be (-15)/25 + (-104)/10. Let o(t) = 5*t - 14. Let z(a) = -a - 1. Let l(q) = -o(q) - 6*z(q). What is the units digit of l(r)?
9
Let y(t) = -1. Let n(l) = -l**2 - 13*l + 11. Let c(w) = n(w) + 5*y(w). What is the tens digit of c(-12)?
1
Suppose -4*z + 2*z = -142. Let s = -10 + z. What is the tens digit of s?
6
Suppose 5*l = -1 + 11. Let f(k) = -7*k**l + 3*k**2 + 3*k**2 + 66 - 2*k**3. What is the tens digit of f(0)?
6
Let d = 58 - 137. Let r = d + 126. What is the units digit of r?
7
Suppose -8*n = -4*n + 2*i - 58, 5*n - 3*i = 78. Suppose j - 272 = 4*f, 0*f - n = 3*f. What is the tens digit of j?
5
Let l(w) = -16*w**2 - 6*w - 7. Let i be l(-2). Let x = i + 190. What is the hundreds digit of x?
1
Let d(x) = -2*x**2 + 0*x**2 + x**2 - 4*x**2 - 2*x**3 - 2*x. Let v be d(-3). Let z = v + -7. What is the units digit of z?
8
Let q(u) = u**2 + 14*u + 86. What is the tens digit of q(-7)?
3
Let o(k) = k**3 - 29*k**2 + 44*k + 59. What is the thousands digit of o(31)?
3
Suppose 5*a - 4*c = 2473, -5*c - 10 = -0. What is the tens digit of a?
9
Let z(h) = 2011*h + 21. What is the hundreds digit of z(2)?
0
Suppose 0 = 6*y - 7*y - 39. Let w = y + 100. What is the units digit of w?
1
Suppose 18*g = 14*g + 8. What is the hundreds digit of 24*5 - 1*(g - 2)?
1
Let v = 2919 + -1323. What is the hundreds digit of v?
5
Let j = 23 + -16. Suppose 6 = -3*w, 5*z = -4*w - 0 + j. Suppose 28 + z = q - 5*f, -q - 4*f = -49. What is the units digit of q?
1
Let a(b) = 399*b**2 - 9*b - 10. What is the units digit of a(-2)?
4
Suppose -h - 57 = -4*h. Let b = h + -16. What is the units digit of 4 - (-2 + -130)/b?
8
Let n = -23 - -29. What is the tens digit of (46/(-3))/((-4)/n)?
2
Let s = 1054 + -77. What is the hundreds digit of s?
9
Let v(o) = 887*o**3 - 2*o**2 + o. Let p be v(1). Suppose -p - 504 = -5*f. What is the units digit of f?
8
Suppose 0 = -4*c, -2*c = 5*t + 2*c - 610. What is the tens digit of t?
2
Suppose s = -0*s - 3*q + 1306, -5*q = -8*s + 10448. What is the thousands digit of s?
1
Let r(b) = b**3 - 7*b**2 + 3*b + 2. Let f be r(6). Suppose 3*y + 72 - 3 = 0. Let g = f - y. What is the units digit of g?
7
Suppose -2 = 3*q + k, 11 = -2*q + k + 3. Let l(a) = 3 + 4*a**2 - 2*a**2 + 2*a - a + 2*a. What is the units digit of l(q)?
5
Let b = 393 - 154. What is the hundreds digit of b?
2
Suppose -30 + 9 = -7*b. Suppose -3*i + 604 = -7*o + 11*o, -b*i = o - 601. What is the tens digit of i?
0
Suppose -4*n + 399 = 71. Suppose 45 = 25*d - 26*d. Let z = n + d. What is the units digit of z?
7
Suppose 6*d - 2941 = -1195. What is the hundreds digit of d?
2
Suppose -4*b + d = -9*b, 0 = -3*b + 4*d. Let f be (-6 + 4)/(-22 - -21). Suppose 0 = -b*h + f*h - 38. What is the units digit of h?
9
Let o = -39 - -39. Suppose 5*p + 191 - 1091 = o. What is the units digit of p?
0
Let p(s) = 0*s**3 + 2 - 4*s**2 + 6*s - s**3 + 6. What is the units digit of p(-6)?
4
Let n(a) be the third derivative of -a**4/3 + 5*a**3 - 37*a**2. What is the tens digit of n(-5)?
7
Let b be 7 + -5 + (14 - -1). Let q = -13 - 1. Let z = q + b. What is the units digit of z?
3
Let k be 25/5 - (4 + -1). Suppose 2*l - 3*c = -l + 90, l + k*c - 39 = 0. What is the units digit of l/12 + (-2)/(-8)?
3
Let b = 3042 - 1812. What is the units digit of b?
0
Let h(r) = -r**3 - 12*r**2 + 14*r + 15. Let d be h(-13). Suppose d = -2*n - 0*n, 367 = 5*x - 2*n. What is the tens digit of x?
7
Suppose 0 = -35*r + 44*r - 37206. What is the hundreds digit of r?
1
Suppose -2*k = -5*b - 1, 2*b + 19*k - 4 = 22*k. Let c(s) = 12*s**3 - 52*s**3 + s - 18*s**3. What is the tens digit of c(b)?
5
Let g(f) = 156*f**2 + 2*f - 9. What is the units digit of g(-2)?
1
Suppose -140*q = -136*q - 348. What is the tens digit of q?
8
Let j = -1133 - -1633. What is the units digit of j?
0
Let z(c) = 42*c + 44. What is the units digit of z(15)?
4
Let j(p) be the third derivative of -19*p**5/120 + p**4/24 - p**3/2 - 3*p**2. Let f(z) be the first derivative of j(z). What is the units digit of f(-1)?
0
Suppose -5*r - 3*q - 459 = 0, -5*r + 5*q = -4*r + 75. Let u = r - -62. What is the tens digit of 8/u + (-489)/(-21)?
2
Suppose -16 = -2*x - 44. Let d = x - -10. What is the tens digit of ((-22)/d)/((-6)/(-12))?
1
What is the units digit of (-24500)/(-119) - 4/(-34)?
6
Let m(v) be the second derivative of -4*v**3/3 + 3*v**2/2 + 15*v. Suppose -3*s + 2*s = 3. What is the tens digit of m(s)?
2
What is the hundreds digit of 4/6*-3*(-8162)/28?
5
Let v(p) = 17*p**2 - p - 2. Let q = 6 - 7. Let s be v(q). What is the tens digit of (-3 - -4) + (s - -1)?
1
Suppose 10*q = 3*q + 5005. What is the hundreds digit of q?
7
Suppose -3*q - q = -5*y + 17, -y - 2*q = 5. Let a(d) = 3*d**3 + 1. Let x be a(y). Suppose -x = -5*t + 51. What is the units digit of t?
1
Suppose -g = 3, -2 = 4*s + g - 11. Suppose 0 = 4*r + s*r - 28. What is the units digit of r?
4
Suppose 0 = -5*n - 4*i - 241, 0*n - n - 5*i - 44 = 0. Let w be 14/n + (-338)/(-7). Suppose w = f + l - 10, -2*f - l = -112. What is the tens digit of f?
5
Let w = -34 + 39. Suppose 2*h - 2 = 0, 6*l = 2*l - w*h + 349. What is the units digit of l?
6
Suppose 0 = -c + 21*t - 24*t + 93, 5*t = -3*c + 283. Let j(o) = -o**3 + 9*o**2 - 8*o + 7. Let i be j(7). Let h = c