6)?
3
Let v(g) be the first derivative of -g**4/4 - g**2/2 + 6*g - 7. What is the units digit of v(0)?
6
Let m(a) = a - 1. Let s be m(4). Suppose q - s*q + 36 = 0. What is the tens digit of q?
1
Let i(j) = 2*j**3 + 2*j**2 + 1. Let y be i(-2). Let m = 10 + y. What is the units digit of m?
3
Suppose 3*a - 9 = 3. Suppose 6*i - a*i = 4. What is the units digit of i/7 - (-48)/28?
2
Suppose -2*j + 27 = -2*p - p, 17 = j - 5*p. Suppose s = -q + 3, 3*s = 6*s - 4*q + j. Suppose x = -s + 9. What is the units digit of x?
9
What is the units digit of 4/(-6)*3 - -152?
0
Let i(x) = x**3 + x**2 + 51. Let h be i(0). Suppose 2*c = -2*n - 30, 0 = 5*c - n + 42 + h. Let b = -9 - c. What is the units digit of b?
9
Suppose 14 = -v + 5*c, -v = 2*c - 4*c + 2. Let a = v - -2. What is the units digit of a?
8
Let w(l) = l**2 + 3*l - 16. Let i be w(-11). Let h = i + -48. What is the tens digit of h?
2
Let a = -151 + 197. What is the tens digit of a?
4
Let j = -29 - -68. What is the tens digit of j?
3
Suppose 56 = -5*c + 341. What is the units digit of c?
7
Let b be (-220)/(-4)*(-8)/10. Let v = -13 - b. What is the units digit of v?
1
Let p(t) = -t**3 - 4*t**2 - t - 2. Let q be p(-2). Let s be 2/4 + (-1)/2. What is the units digit of s - -1 - (q + 2)?
7
Let n = 51 + -10. Suppose -3 = 2*y - f - n, y - 1 = -4*f. What is the units digit of y?
7
Let q(t) = t. Let b(a) = -9*a + 3. Let x(y) = 3*b(y) + 24*q(y). Let c be x(7). What is the units digit of 3*(c/9 + 2)?
2
Suppose 2*m + 3*m = 575. What is the hundreds digit of m?
1
Suppose -7*l = -2*l. Suppose 2*b + 0*b - 6 = 0. Let q = l + b. What is the units digit of q?
3
Let v be (4 + -6)*5/(-2). Let x = -10 + v. Let c = -1 - x. What is the units digit of c?
4
What is the units digit of 13 + (0 - (2 - 4))?
5
Let c = -94 + 66. What is the units digit of 4/(-6) + c/(-6)?
4
Let j(y) = y**2 - y - 1. Let h be j(1). What is the units digit of h/2*-2*1?
1
Let q be 1/(-5) - 64/(-20). Suppose q = -o - w + 2, -4*w - 6 = 3*o. What is the units digit of o?
2
Let u = -4 + -1. Let n(i) = 5*i**3 - 6*i**2 + 2*i + 1. Let b(o) = -4*o**3 + 6*o**2 - o - 1. Let w(s) = 6*b(s) + 5*n(s). What is the units digit of w(u)?
4
Suppose 5*m - 96 = 179. What is the tens digit of m?
5
Suppose 5*a + a - 396 = 0. What is the tens digit of a?
6
What is the tens digit of (3/((-27)/96))/((-7)/63)?
9
Let l(d) = d**3 + 4*d**2. Let q be l(-4). Suppose q = n + 4*k, 10 - 4 = n - 2*k. What is the units digit of n?
4
Let x(u) = -u - 14. Let n be x(18). Let o = 8 - n. What is the units digit of o?
0
Let u = -489 + 760. What is the hundreds digit of u?
2
Let q = 6 - 4. Suppose -q*z + 2 + 10 = -y, 4*y = 8. What is the units digit of z?
7
Suppose -o - 4*p = -45, o + o + 3*p = 90. What is the tens digit of o?
4
Let p be (-7540)/(-70) + 2/7. Suppose 4*q - 8*q = -p. What is the units digit of q?
7
Let i = 12 + -3. Let q(v) = 2*v - 1. Let w be q(3). Suppose w*z - 11 = i. What is the units digit of z?
4
Suppose 5*r = -w - 12, 0*r + 4*r = -3*w - 3. What is the units digit of w?
3
Let r(v) = v**2 + 6*v + 3. Let f be r(-5). Suppose 50 = 3*p - c - 45, -2*p - 3*c + 67 = 0. What is the tens digit of (6/(-8))/(f/p)?
1
Suppose 5*r + 8 = -2*s - 7, 2*s - 5*r = 35. Suppose 2*k - 4 = -o, -s*o = -5*k - 1 - 4. Suppose 2 = -x, -4*x + 2 = o*h - 4. What is the units digit of h?
7
Suppose -3 = -5*r + 7. Let c be (5/15)/(r/30). Let i = 7 - c. What is the units digit of i?
2
Suppose -p + 4*a - 2 = -24, -5*a = -p + 26. What is the units digit of p?
6
Let r be 55 + -2 - (-1 - 0). Suppose 2 = -3*f + 17, -2*f = 4*q - r. What is the tens digit of q?
1
Suppose 5*c - 15 = 0, 5*x - 287 = 8*c - 7*c. What is the units digit of x?
8
Let f(w) be the second derivative of -w**5/20 - 11*w**4/12 - w**3/6 + 8*w**2 - 3*w. What is the tens digit of f(-11)?
2
Let r = -120 + 250. What is the units digit of r?
0
Suppose 0 = 5*r - 6*r + 41. Suppose 5*d = -y + 29, 10*d - 5*d = 4*y - r. What is the tens digit of y?
1
Suppose 0 = -8*d + 5*d - 66. Let x be 9/2*(-8)/3. Let c = x - d. What is the units digit of c?
0
Let t be (7/(-2))/((-8)/48). Suppose -i - 3*i = p - 1, 0 = -p + i + t. What is the units digit of p?
7
Suppose h = -3 + 1. Let l(a) = -a**3 - 3*a**2 - 3*a - 3. Let q be l(-3). What is the units digit of (q/(-4) + 1)*h?
1
Let c be (2 - (-72)/(-21))*-7. What is the units digit of 6/c - 126/(-15)?
9
What is the units digit of (-195)/6*(-4)/10?
3
Let k = -39 - -51. Let p be (-1)/((-1)/(0 + 2)). Suppose -o + 9 = 4*a - 3*a, a + k = p*o. What is the units digit of o?
7
Suppose s + 3 = 6*s - m, 5*s - 3*m = 9. Suppose 0 = -s*f - 2*f + 4. Suppose -4*r + w + 11 = f*w, 0 = 2*r - 2*w + 2. What is the units digit of r?
2
Let y = 4 + -2. Let q(x) = -x**2 - 10*x - 8. Let r be q(-8). What is the units digit of (6/r)/(y/8)?
3
Let j(y) = 5*y**2 + 2*y + 9. What is the units digit of j(4)?
7
Let q = -102 - -41. Let j = q - -88. What is the units digit of -3*(-6)/j*24?
6
Let h(z) = 2*z + 5. What is the tens digit of h(3)?
1
Let c = 8 - 3. Suppose -c*l - 95 = -5*r, -r + 5*l + 11 = -16. What is the tens digit of r?
1
Let g be (1*-1)/(5 - 4). Let q be (-1 - 1) + (4 - g). What is the units digit of 18/q*(-2)/(-6)?
2
Let m = 0 - 0. Let k be ((-1)/1)/(-1)*m. Suppose k = -2*i + 2*j - 4*j + 30, -32 = -2*i - 3*j. What is the units digit of i?
3
Let p = 152 + 78. What is the tens digit of p?
3
Suppose 4*s = c + 174, -2*s = -4*s - 4*c + 78. What is the tens digit of s?
4
Let g = 24 - 17. Let s = -2 + g. Suppose s*d - 48 = -8. What is the units digit of d?
8
Suppose 0 = 19*v - 13*v - 366. What is the tens digit of v?
6
Let y(o) = 10*o**2 + 2*o + 1. Let v = 9 - 11. What is the tens digit of y(v)?
3
Suppose -3*z + 133 = -2*l, -z - 3*l = -l - 31. Let j = z + -23. What is the units digit of j?
8
Let j(a) = 13*a**3 + 3*a**2 - a. What is the units digit of j(1)?
5
Suppose 0 = -2*k - 4 + 2. Let y = 0 - k. What is the units digit of y?
1
Let f(r) = r**3 - r**2 - r + 31. What is the units digit of f(0)?
1
Let o(k) = -k**3 - 5*k**2 - 2*k - 2. Let n be o(-5). What is the units digit of (14/(-4))/((-2)/n)?
4
Let l(n) = -4*n - 14. Let g be l(-6). Suppose g = -5*r + 35. What is the units digit of r?
5
What is the units digit of (36/10 + -2)*-5*-1?
8
Let g(z) = -12*z + 3. Let u be g(2). What is the units digit of (u/(-14))/(6/76)?
9
Let u = -41 + 137. What is the tens digit of u?
9
Let z = -80 - -82. What is the units digit of z?
2
Suppose -3*b = 5*i - 343, 4*b + 336 = 5*i - 0*i. What is the tens digit of i?
6
Suppose 4*x - 2*x = 0. Let q(j) = -j**2 - j + 19. What is the tens digit of q(x)?
1
Suppose h - 5*h + 72 = 0. What is the units digit of h?
8
Suppose 3*a = -0*a + 465. What is the tens digit of a?
5
Let s = 15 - -30. What is the tens digit of s?
4
Let n = 7 + 5. Let d = 17 - n. Suppose 3*k + 13 = 1, 0 = d*l + 2*k - 2. What is the units digit of l?
2
Suppose -6 - 18 = 4*x. What is the tens digit of (-32)/(-12)*(-45)/x?
2
What is the tens digit of (-4 + 28)/((-9)/(-12))?
3
Let o = 25 + -12. What is the units digit of o?
3
Let q(r) = 11*r**2 + r + 2. What is the tens digit of q(-1)?
1
Let s be (-2)/(-8) + (-117)/(-12). Let o = -6 + s. Suppose -d - p = -1, -d + 6 = 4*d + o*p. What is the units digit of d?
2
Let c(k) be the third derivative of k**6/120 + k**5/15 + k**4/24 - k**2. Let w be c(-3). Let i = 8 - w. What is the units digit of i?
2
Let x(f) = -8*f**3 + 5 - 3*f**2 + 3*f + 0*f + 7*f**3. Let t be x(-4). Suppose 2*i + 3*c + t = 0, 7*i - 4*i + c - 4 = 0. What is the units digit of i?
3
What is the tens digit of ((-4)/6)/(9/(-459))?
3
Let s be (-12)/(-9) + (-1)/3. What is the units digit of (2 - s)/((-3)/(-33))?
1
Let b(w) = w**2 - 9*w - 6. Let q be b(10). Suppose -4 = -5*o + 4*i, -2 = -4*o + q*i + 2. Suppose o = -3*m + 47 + 1. What is the tens digit of m?
1
Let u be ((-2)/5)/(2/10). Let z = 0 - u. Suppose 4*n + 18 = 2*y, -4*y - z*n = 7 - 3. What is the units digit of y?
1
Let y be 7/9 - (-6)/27. Let c = -5 - y. What is the units digit of (20/c)/(10/(-15))?
5
What is the units digit of 7 + 6/10*(0 - 5)?
4
Let o = -454 - -803. What is the units digit of o?
9
Suppose 7 = 5*g - 3. Suppose 0 = 4*o - n - 7, -5*n - 17 = -g*o - 0*n. What is the units digit of o/(-4) - (-9)/4?
2
Suppose 0 = 2*m - 49 - 15. What is the units digit of m?
2
Let g = 5 - 7. Let a(q) = 12*q