- 3. Let g(f) = 6*c(f) - 10*x(f). What is the tens digit of g(o)?
1
Suppose -1 = 2*h - 21. Let z be 6/(-9) - h/3. What is the units digit of z/6 - (-15)/9?
1
Let g(n) be the third derivative of n**5/60 + n**4/24 + 4*n**3/3 + 4*n**2. Let x be g(0). Let q = 10 + x. What is the tens digit of q?
1
Suppose 49*n - 46*n - 7361 = 5*l, 0 = 5*l - 25. What is the units digit of n?
2
Let x(v) = 6*v. Let c = 12 + -1. What is the tens digit of x(c)?
6
Let v(x) = 21*x**2 + x + 2. Let n(s) = 11*s**2 + 1. Let l(m) = 5*n(m) - 2*v(m). Let i be l(-2). Suppose 0*k + 3*k = i. What is the tens digit of k?
1
Let b(l) be the second derivative of l**5/20 - l**4/3 - 5*l**3/6 - 7*l**2/2 + 28*l. What is the units digit of b(7)?
5
Let a be (-17)/5 - (-4)/10. Let o(k) be the second derivative of -2*k**3/3 + k**2 + 10*k. What is the units digit of o(a)?
4
Let l = -14 - -41. What is the units digit of 430/9 - (-6)/l?
8
Let c = 1502 + -685. What is the units digit of c?
7
Suppose 4*k - 818 = -5*g, -5*g + k = -4*g - 160. What is the tens digit of g?
6
What is the units digit of (-4694*3/(-30))/((-20)/(-100))?
7
Let g = 295 + 147. What is the tens digit of g?
4
Let t(d) = d. Let j(z) = 3*z - 1. Let u(q) = 5*j(q) - 10*t(q). Let w be u(2). Suppose 102 = w*s + 17. What is the units digit of s?
7
Suppose -w + 574 = 401. What is the tens digit of w?
7
Let o be ((-24)/14)/(12/7 + -2). What is the hundreds digit of (-1 - (0 + 1)) + (o - -150)?
1
Let i(z) be the first derivative of z**4/4 - 7*z**3/3 + z + 21. What is the hundreds digit of i(9)?
1
Suppose 5*a = -4*x + 5383 + 2541, -1981 = -x - 4*a. What is the tens digit of x?
8
Suppose 5*p + 48 = -67. Let w = p - -32. What is the units digit of w + (3 - 3)/(-4)?
9
Suppose 3*w - 2*n - 130 = 0, -5*w + 4*n = -90 - 126. Let l be 4/3*198/w. What is the units digit of 4 - (-1 + -2 + l)?
1
What is the thousands digit of (-82)/(-451) - (-27716)/22?
1
Suppose -4*t - r = 2*r - 20, 2*r + 20 = 4*t. Suppose -4*z - 44 + 288 = -5*d, t*z - 350 = -5*d. What is the units digit of z?
6
Suppose -3 + 1 = -l. Let u(x) = 26*x**l - 6*x + 5*x - 3 + 3*x + 2. What is the tens digit of u(1)?
2
Suppose -3 = p - 0*p, -3*h - 4*p + 588 = 0. What is the tens digit of h?
0
Let s = -152 + 380. What is the hundreds digit of s?
2
Let m(s) = -2*s + 1. Let j be m(-6). Let z = 17 - j. Let x = 32 + z. What is the units digit of x?
6
Suppose 0 = 2*s + 5*b - 20, -4*s - 2*b = s - 8. Suppose s = g + 2*i - 25, -3*g + 14 = -4*i - 11. What is the units digit of g?
5
Let v = 8 - 2. Let g = v - -4. What is the units digit of 1/(g/4 - 2)?
2
Suppose -5*w = -2*w + 18. Let z be 4/w - 4/(-6). Suppose 2*c + 5*d - 42 = 0, z = -4*c + c - 4*d + 63. What is the units digit of c?
1
Let l be 416 + -2*(2/(-4) + 0). Let d = l - 133. What is the units digit of d?
4
Let g be ((-24)/10)/(7/(-70)). Let p be 26/8 + 18/g. Suppose p*x - x - 149 = -q, 0 = -2*x + q + 96. What is the tens digit of x?
4
Suppose 4*z - 36 = 36. Let y = -76 + 103. Let q = y - z. What is the units digit of q?
9
Let r(j) = j**2 + 5*j + 3. Let g be r(-5). Let u(m) = -m**2 + 8*m - 2. Let n be u(6). Let z = n - g. What is the units digit of z?
7
Suppose 5*b - 3 = 4*b. What is the tens digit of 75 - (b - 4) - 0?
7
Let l(r) = 2*r**2 + 5*r + 22. Let w be l(-7). Suppose c - 5*s - 45 = 0, c + s + w = 5*c. What is the tens digit of c?
2
Let f(t) be the second derivative of -t**5/20 - t**4/3 - t**3/3 + 3*t**2/2 + 5*t. Let v be f(-3). Let c(o) = o**3 - o**2 + 4. What is the units digit of c(v)?
4
Suppose 11*m = -5*m + 14976. What is the hundreds digit of (m/(-91))/((-4)/42)?
1
Suppose 4*k + 34 = 10. Let u = -4 - k. Suppose u*d + 3*d - 370 = 0. What is the units digit of d?
4
Let t = 10 - 0. Suppose g + t = -2*o + 6*o, 0 = g + 3*o - 11. Suppose -7*r + 150 = -g*r. What is the units digit of r?
0
Let z = 176 - 111. Let w = -31 + z. What is the tens digit of w?
3
Let p(u) = 2*u**2 + 8*u - 10. Suppose 15*b - 8*b = 42. What is the units digit of p(b)?
0
Let u(s) = -s**2. Let r(z) = z**3 - z - 1. Let o(i) = r(i) + 4*u(i). Suppose -5*n + 3*w + 3 + 7 = 0, -3*w + 10 = -n. What is the tens digit of o(n)?
1
Suppose -4*y + 111 = -329. What is the units digit of y?
0
Let k be (-2)/((-7)/(70/4)). Suppose 10 + 11 = -b + 5*d, 0 = -4*b - k*d + 16. What is the tens digit of b/(-4) + 214/8?
2
Suppose -20 = -3*z - 2*z. Suppose 2*j - 4 = -u + z*j, 5*u + 3*j = -32. What is the units digit of (-1844)/(-36) - u/(-18)?
1
Let k = -29 - -33. Suppose -4*p = k*z - 52, 6*p = 9*p + 12. What is the tens digit of z?
1
Suppose 7*s + 5 = 2*s. Suppose 2*y + 7*c - 3*c = 2, y - 5 = 2*c. What is the units digit of s - (1 - 2)*y?
2
Suppose -199 - 83 = -6*m. Let k = m + -32. What is the tens digit of k?
1
Let s be 0*(0/1 + 1). Suppose -4*b - 5*u + 40 = s, 5 + 31 = 4*b + 4*u. Suppose 4*h - 2*h = -3*a + 25, 0 = b*a + 25. What is the tens digit of h?
2
Let n(o) be the second derivative of -o**5/10 - o**4/6 + o**3/6 - 5*o**2/2 - 8*o. What is the units digit of n(-3)?
8
Suppose 4*n = 5*a + 10, 5*a + 11 = n + 1. Let f(v) = v**3 + 2*v**2 - 4*v. Let u be f(-3). What is the tens digit of 8 + u + (n - 0)?
1
Suppose 3*o + 4*z - 12 = -o, 0 = 3*z - 3. Suppose -g + 113 = -o*x, 3*x - 226 = -g - g. What is the tens digit of g?
1
Let t be 33/4 - (-6)/8. Suppose 2 + t = 3*u - 2*s, 0 = u + 4*s - 13. Suppose -69 = -3*y + 3*a, -u*y = -2*a + 3*a - 97. What is the units digit of y?
0
Suppose 2*r - 4*t - 2 = 60, r + 2*t - 27 = 0. Let n = r + -20. What is the units digit of n?
9
Let i(f) = f**3 - 41*f**2 + 40*f + 62. What is the units digit of i(40)?
2
Let k(o) = 17 - 4*o**2 + 3*o**2 + 5*o + 27 - 3*o. What is the tens digit of k(0)?
4
Let m = -328 - -76. Let v = -142 - m. What is the tens digit of v?
1
Let c = 9 - 9. Suppose 3*x + 5*j = -202, 260 = -4*x - c*x - 2*j. Let y = x + 91. What is the units digit of y?
7
Let k = -60 - -62. Suppose 3*s + k*s - 3*c = 727, 5*c = -2*s + 266. What is the tens digit of s?
4
Let a(u) = -9*u**2 - 5*u - 4. Let y be a(-5). Let g = y - -111. What is the tens digit of 2/1 + g/(-3)?
3
Let m be (-8)/(-6)*54/24. Suppose 2*g = -2*u + m + 9, 2*u = -4*g + 20. Suppose -h + 13 = -g. What is the tens digit of h?
1
Let r = 14 - -18. Suppose -90 = 31*j - r*j. What is the tens digit of j?
9
Let s(h) = 4*h**2 + 6*h + 1. What is the tens digit of s(-4)?
4
Let z be (-4)/12*3*4. Let f(g) = -3*g**3 - g**2 + 11*g + 10. What is the tens digit of f(z)?
4
Let j(w) = w**3 + 9*w**2 + 4*w - 8. Let t be j(-6). Suppose 3*o - t = -v + 2*v, 4*v = -2*o + 74. Let z = -16 + o. What is the tens digit of z?
1
Suppose 4*b - 3*b - 8 = 4*a, -b - 5*a - 10 = 0. Suppose b = 6*s + 6*s - 108. What is the units digit of s?
9
Let r(n) = -225*n - 355. What is the tens digit of r(-10)?
9
Let x = 15 - 14. What is the units digit of x/(6/(-3))*0 + 200?
0
Suppose -c + 0*c + 210 = 0. Suppose 0 = 3*g + 2*g - c. What is the units digit of g?
2
Let w(p) = -p**3 + 15*p**2 - 3*p + 3. Let g be w(8). Suppose 4*z = 16, x - 2*z = -2*x + g. Suppose 2*t - x = -3*t. What is the tens digit of t?
2
Suppose 3*r - 4132 = -2*p, 0 = 196*r - 201*r + 5*p + 6870. What is the units digit of r?
6
Let k(n) = -n**3 + 7*n**2 - 5*n - 6. Let s = -15 - -21. Let x be k(s). Suppose 0 = -x*o - 4*o + 140. What is the units digit of o?
5
Suppose 0 = -f + 1, 14 = 3*r - f + 6*f. Suppose -r*l + 210 = -0*l. What is the tens digit of l?
7
Let i = -34 + -17. Suppose 28*s - 18 = 33*s - 3*f, -2*s - 4*f - 28 = 0. Let a = s - i. What is the tens digit of a?
4
Suppose 0 = 3*s + s - 3*z - 2160, -5*s = -z - 2700. What is the tens digit of s?
4
Suppose -3738 = -7*h - 0*h. What is the units digit of h?
4
Let p(z) = 289*z**3 - z**2 + 2*z - 2. What is the units digit of p(1)?
8
Suppose 47*q - 3996 = 44*q. What is the units digit of (6/3)/((-3)/(q/(-8)))?
1
Let x be 238*1/2*(0 + -1). Let s = 204 + x. What is the tens digit of s?
8
Suppose 7*l + 31 = -18. Suppose -37 = -5*v + 3*p, v = -0*v - 5*p + 13. Let n = l + v. What is the units digit of n?
1
Let i be 2*((-15)/(-10) - 2) - -1. Suppose 2*q = 0, i = -5*v - 4*q - 485 + 1815. What is the units digit of v?
6
Let z = 2 - 43. Let k = 61 - z. What is the units digit of k?
2
Let f be (-3 + 5 + 19)/((-6)/(-20)). What is the hundreds digit of (16/56 - (-3578)/f)*5?
2
Suppose p + 36 = -2*t, -3*p + 4*t - t - 90 = 0. Let j = 2 - p.