d derivative of -v**6/120 - 3*v**5/20 - 11*v**4/24 - 11*v**3/6 - 2*v**2. What is the tens digit of t(-8)?
1
Suppose -6*s - 55 = -s. Let j(a) = -a**2 - 2*a - 6*a + 3 + 5 - 3*a. What is the units digit of j(s)?
8
Suppose 2 = 2*q - 2*r, -3*q - 3*r = -r - 18. Let v be (2 + (2 - 2))/(-1). Let n = q + v. What is the units digit of n?
2
Let v(c) = c**3 + 4*c**2 + 2*c + 3. Let p be v(-2). Suppose -j + 25 = -z, p*j - 2*j + z = 95. What is the units digit of j?
0
Suppose -2*d = -4*y + 176, 0*d + 211 = 5*y + 2*d. What is the tens digit of y?
4
Suppose -440 = -2*p - 2*p. What is the tens digit of p?
1
Suppose 2*d = 3*w - 2*w + 8, w = -4*d + 16. Suppose 5*i + 3*x - 25 = w, 2*i - 4*x + 5 = 3*i. What is the units digit of i?
5
Suppose -2*j = -4*j + 4. Let o = 7 - j. What is the units digit of o?
5
Suppose 3*w + f - 78 = -w, -2*w + 5*f = -28. What is the tens digit of w?
1
Let d = 0 - -2. Suppose 5*n - 1 = -2*f + 1, -d*f = 8. Suppose 0 = -u - n*p + 4, -5*p - 3 - 2 = -5*u. What is the units digit of u?
2
Suppose -3 = 2*b - 7. Suppose -b*z + 0*z + 5*r + 38 = 0, z - 2*r = 17. What is the units digit of z?
9
Let p(n) = -n**3 - n**2 + n + 110. Let u be p(0). Let z = u + -77. What is the units digit of z?
3
Let o(i) = i**2 - 6*i + 3. Let d(x) = x + 2. Let z be d(-2). Suppose z*u - 7 = -u. What is the units digit of o(u)?
0
Suppose 2*l = 5*n + 7*l, 2*n = -3*l. Suppose -4*j + 2*s = 6*s - 8, n = -2*j + s + 7. Let r(t) = -t**3 + 3*t**2 + t. What is the units digit of r(j)?
3
Suppose -2 = -2*r + 16. Let q(d) = -d**3 + 10*d**2 - 9*d + 1. What is the units digit of q(r)?
1
Let x = 123 - 16. What is the tens digit of x?
0
Suppose -5*r - 47 = -517. What is the units digit of r?
4
Suppose 0 = 27*d - 21*d - 2202. What is the units digit of d?
7
Let q(c) = 2*c**2 + 3*c. Let y be q(-4). Let r = 10 - 10. Suppose -3*h + 8*h - y = r. What is the units digit of h?
4
Let h = 14 - 3. Suppose w - l = -w - 17, -2*w - 32 = -4*l. Let r = w + h. What is the units digit of r?
5
Let z(w) be the third derivative of w**4/6 - 4*w**3/3 + 5*w**2. What is the tens digit of z(7)?
2
Let d be 55/(-44) + 3/(-4). Let h = d - -23. What is the units digit of h?
1
Let b(n) = n**3 + 11*n**2 - 16*n + 13. What is the units digit of b(-12)?
1
Suppose d - 40 = -5*v - 3*d, -3*d + 3 = -3*v. Let i = v + -3. What is the units digit of (-1 - 9)*i/(-1)?
0
Let f = 164 - 99. What is the units digit of f?
5
Suppose -3*k = -0*k - 6, 0 = -3*c + k + 64. Suppose c = -4*w - 94. Let h = -17 - w. What is the units digit of h?
2
Suppose 447 = 3*o - 2*q, 0*q - 3*q = 2*o - 311. Let a = -98 + o. What is the tens digit of a?
5
Let d(j) = -j**3 + 57. What is the units digit of d(0)?
7
Let f be 0 + (-136)/(-3 + 1). Let c be (-7)/21 - (-426)/9. Let t = f - c. What is the units digit of t?
1
Let p(f) = -4*f + 12. What is the tens digit of p(-6)?
3
Let k(n) be the first derivative of -1/2*n**2 - 3 + 7*n. What is the tens digit of k(-7)?
1
What is the units digit of 1 - (-1)/((-1 - 3)/(-164))?
2
Suppose -146 = -4*h + 2*l - 20, h - 37 = -5*l. What is the units digit of h?
2
Let q(m) = -7*m**3 + 2*m**2 + 2*m + 7. Let r(x) = 4*x**3 - x**2 - x - 4. Let w(a) = -3*q(a) - 5*r(a). Suppose 1 - 3 = -g. What is the units digit of w(g)?
1
Let m(x) = -3 + x + 0 - 3*x. What is the units digit of m(-5)?
7
Let v(r) = 8*r - r + 9*r. What is the units digit of v(1)?
6
Let q(o) = -8*o - 12. Let l be q(7). Let f = l + 107. What is the tens digit of f?
3
Let h(k) = -k**2 + 5*k - 2. Suppose b - 21 = -3*x, -15 - 3 = -x - 4*b. Let c = -4 + x. What is the units digit of h(c)?
4
Suppose 4*f + 66 = i - 66, -f + i - 30 = 0. Let l = -24 - f. Let r = -5 + l. What is the units digit of r?
5
Let k(j) = -4*j**2 + j - 2. Let d(l) = l**2 + 1. Let c(x) = -3*d(x) - k(x). Let q be c(0). Let v(n) = -13*n - 1. What is the tens digit of v(q)?
1
What is the tens digit of 4695/20 - 1/(-4)?
3
Let c be ((-26)/(-4))/((-2)/4). Let h = c - -1. Let v = 25 + h. What is the tens digit of v?
1
Suppose -4*r = -7*r - 3. Let i = -1 - r. Suppose -2*g - 2 + 26 = i. What is the tens digit of g?
1
Let i(f) = f**2 - 3*f - 1. What is the units digit of i(-6)?
3
What is the units digit of 1 - (-13 + -3)/2?
9
Let s(w) = w**2 + 6*w + 2. Let t be 18/4*(-12)/9. Let k be s(t). Suppose 6 = 5*n - k*n. What is the units digit of n?
2
Let t(q) = -q + 1. Let s be t(-4). Suppose -m + s*j = -10, 2*m - 9 - 5 = 4*j. Suppose -4*r - 9 = -m*o, o - 4*o + 4*r + 7 = 0. What is the units digit of o?
1
Suppose 8*v - 20 = 3*v. What is the units digit of ((-2)/v)/(2/(-20))?
5
Let u(k) = -8*k**3 - 2*k**2 + 1. Let p be u(-1). Suppose -4*j = -9 - p, o = -2*j + 34. What is the tens digit of o?
2
Let r = 51 - 25. What is the units digit of r?
6
Suppose 8 = -4*b, -6*u + 3*u - 5*b + 5 = 0. Suppose -u*t + 3*p = -78, p = 3*t - 28 - 22. What is the units digit of t?
8
Suppose 19 = 2*r - 13. What is the tens digit of r?
1
Suppose -3*k - 5*m = -19, -k - 5*m + 2 = -1. Let f(a) be the second derivative of a**3/6 - 5*a**2/2 + a. What is the units digit of f(k)?
3
Let q = 0 - 2. What is the units digit of 6 + (q - 1)*1?
3
Let v be (-3 + 7)*(-126)/4. What is the units digit of (-385)/(-9) - 28/v?
3
Suppose 36 + 6 = 3*k. What is the units digit of k?
4
Let p be (6/(-4))/((-6)/(-8)). Let x(f) = 3*f + 2. Let t be x(p). Let u = t - -11. What is the units digit of u?
7
Suppose 2*o = -0*o + 304. What is the units digit of o?
2
Let k be (-8)/(-5) - (-12)/30. Suppose -5*f = -k*s - 0*s - 193, 33 = f + s. What is the tens digit of f?
3
Suppose -112 - 53 = -5*n. What is the tens digit of n?
3
Let b be 1 + -1*(-6)/2. Suppose p - 3 = -3*j - 2*p, -b*j - 2*p = -6. Suppose -s - 68 = -5*q, 3*q - j*s - 48 = s. What is the units digit of q?
3
Let c(y) = -y**3 - 3*y**2 + 4*y - 7. Let m be c(-7). Suppose m = 8*d - d. What is the tens digit of d?
2
Suppose -10 = 4*p + 10, 4*i - 2*p - 182 = 0. What is the units digit of i?
3
Let x = -4 - -10. Suppose -4*v + x = 2*w, v = w - 0*v. What is the units digit of (w - (2 + 0))*-11?
1
Let u(y) = y**2 + 13*y + 7. Let c be u(-8). What is the units digit of 3*(c/(-9) - 3)?
2
Suppose 3*f = f - 2*w - 10, -2*w = 4. Let b be 3 + 966/(6 + f). What is the tens digit of 1/(-4) - b/(-20)?
1
Let f(n) = 2*n**2 + 5*n - 5. What is the tens digit of f(6)?
9
Suppose 0 = n + 4*u + 23, 0*n + 2*n + u + 25 = 0. Let k = n - -40. What is the units digit of k?
9
What is the tens digit of (-9)/(1/((-28)/6))?
4
Suppose -5*h + 4*v = -v + 90, -4*h + 2*v - 64 = 0. Suppose -4*k = -8, t - 46 = -t + 5*k. Let a = t + h. What is the units digit of a?
4
Let t(j) = -4*j**3 - 2*j - 1. Let m be t(-1). Let u(v) = 2*v. What is the units digit of u(m)?
0
Suppose 5*n + 471 = 5*s + 46, n = 2*s - 83. What is the units digit of (n/6)/(5/(-10))?
9
Let g = -100 - -224. Suppose 3*q - 38 = -x + q, 4*x = -q + g. What is the tens digit of x?
3
Let d = 5 - 1. Suppose -m + 25 = 4*v, 4*v - 4*m + 3*m = 15. Suppose d*f - b - 7 = 0, 4*f - v*b = -0*b + 3. What is the units digit of f?
2
Suppose -g - 340 = -4*u - 4*g, 0 = -4*g + 16. Suppose 5*l - 193 = u. What is the tens digit of l?
5
Let m = -14 + 34. Let i(j) = -j**2 + 3*j + 2. Let u be i(3). Suppose u*v - 6*v = -m. What is the units digit of v?
5
Let b = 4 + -4. Suppose 0 = -3*d, -6*o + 4*o + 5*d = b. Suppose o = -6*s + 2*s + 16. What is the units digit of s?
4
Let q(x) = -x**2 - 22*x - 8. What is the tens digit of q(-6)?
8
Suppose -2*a - 4*n = -182, -a - 3*n - 320 = -5*a. What is the units digit of a?
3
Let b = 26 + -18. What is the units digit of (-5)/20 + 90/b?
1
Suppose 12 = -g + 7. Let u = g + 5. Suppose v - 4 = -u. What is the units digit of v?
4
Suppose -2*c - 4 - 3 = g, -22 = g + 5*c. What is the units digit of g?
3
Let h be 2*(-3)/(-6)*-1. Let q(n) = -2*n + 6. Let o be q(6). Let z = h - o. What is the units digit of z?
5
Let s = 19 + 27. What is the units digit of s?
6
Let d = 0 - -1. Suppose 5*w - d = 9. Let g = 3 - w. What is the units digit of g?
1
Let o(d) = -d + 1. Let q(n) = -n - 2. Let r(g) = -3*o(g) + q(g). Let t be r(9). Suppose s = -b + t, 0 = -5*b - 2 + 7. What is the tens digit of s?
1
Suppose -2*t = 5*s + 40, s + 3*t + 31 = -2*t. Let x = 2 - s. What is the units digit of x?
8
Let o = 11 + -30. Let d = 42 + o. What is the units digit of d?
3
Suppose 0 = -4*v + 3*i + 99, 4*v + i - 16 = 63. What is