a. What is the units digit of a?
6
Let f be (-4)/6 + (-64)/(-24). Suppose -f*a + 3 = -5. Suppose -a*h + 8*h - 24 = 0. What is the units digit of h?
6
What is the units digit of (-4 + 370/8)/(5/20)?
9
Let i(v) be the first derivative of -5*v**4/4 + v**3/3 + v**2 + 2*v + 2. What is the units digit of i(-2)?
2
Let m(k) = 2*k**3 - 9*k**2 + 14*k - 20. What is the tens digit of m(7)?
2
Let o(k) = k**3 + 6*k**2 + 2*k - 10. Let j be o(-5). Suppose 5 = j*g - g - a, g = 3*a - 7. Suppose g*s - 3 = 63. What is the tens digit of s?
3
Suppose -5*b + 3*w + 12 = -13, -b + 2*w + 12 = 0. Let r be ((-5)/b)/(5/10). What is the units digit of (-92)/(-10) + 1/r?
9
Let b(k) be the first derivative of -k**4/4 + 8*k**3/3 + k**2/2 - 9*k - 19. What is the tens digit of b(7)?
4
Let s(y) be the third derivative of 5*y**4/12 + 5*y**3/6 - 4*y**2. Suppose 13*h = 37 + 15. What is the tens digit of s(h)?
4
Let j(c) = -19 - 27 + c**2 + 39 + 5*c. Let h be -2*((-21)/2)/(-3). What is the units digit of j(h)?
7
Suppose -8*b = -22*b + 6006. What is the tens digit of b?
2
Let m(a) = a**2 - 11*a + 26. Let n be m(-15). Let g = 703 - n. What is the hundreds digit of g?
2
Suppose -8 = -4*t + 1908. What is the hundreds digit of t?
4
Let u be (-1 - -2)/(3/45). Suppose 4*o = 8, 5*n + 3*o = 2*o + 22. Suppose -2*z + u - 3 = n*t, -t = -4*z + 6. What is the units digit of z?
2
Suppose 0*x = -2*x. Suppose 0*m + 3*m - 63 = x. Suppose 0 = u + m - 46. What is the units digit of u?
5
Let f be (-7 - -4)/(2 + -1). Let p(i) = 16*i**3 - 2*i**2 + 2*i + 1. Let w be p(f). What is the units digit of w/(-21) + (-4)/(-3)?
3
Let d = 578 + -577. What is the units digit of d?
1
Let g = -105 - -110. What is the tens digit of 526/g + (5 - (-130)/(-25))?
0
What is the thousands digit of 1792 - (-9 + 10)*-6?
1
Suppose 13 = 5*b - 4*b - 5*m, -5*b + 5*m = -25. Suppose -7 = b*j + 4*v + 4, 3*v = j + 8. Let q(d) = d**2 + 5. What is the tens digit of q(j)?
3
Let v(c) = 15*c + 2. Let o be v(3). What is the tens digit of o + 19 - (1 + 0)?
6
What is the units digit of (0 + 106/3)*546/28?
9
Let k be 68/18 + (-10)/(-45). Suppose 0 = -0*z - z + k. Suppose 0 = -z*f + 34 - 14. What is the units digit of f?
5
Let d = -6 - 27. Let u(g) = -11*g - 7. Let b be u(-5). Let i = b + d. What is the tens digit of i?
1
Let c = 31 - 21. Let t be 12*(-3 - c/(-3)). Suppose 4*w + 5*p - 65 = 0, -1 - t = -w - 5*p. What is the tens digit of w?
2
Suppose -21*g + 56 = -49. What is the units digit of g?
5
Let x be (-4 - 0)*(-7 + 22). Let j = 21 - x. Suppose -33 = 2*y - j. What is the units digit of y?
4
Suppose 50 = -5*w - 5*d, 4*w = -w + 3*d - 10. Let i(y) = 5 + y**3 + 3*y + 6*y**2 + 1 + 0. What is the tens digit of i(w)?
1
What is the tens digit of ((-4)/(-5))/(22/8690)?
1
Suppose 5*f + 407 = d, -2*d - f + 779 = -46. What is the tens digit of d?
1
Let c(x) = x**3 - 2*x**2 - 3*x + 3. Let d be c(-3). Suppose -q + 3*q - 3*g = 215, -3*g = 4*q - 385. Let b = d + q. What is the units digit of b?
7
Let r = -48 - -7. Let c = r - 31. What is the tens digit of (c/(-14))/(3/14)?
2
Let d(b) = 206*b - 135. What is the hundreds digit of d(12)?
3
Suppose 19*w + 3*w - 3344 = 0. What is the tens digit of w?
5
Suppose -9*q + 13647 = -4686. What is the hundreds digit of q?
0
Suppose -t + 0*k + k + 9 = 0, 0 = -t - k + 11. Suppose 5*y - 19 = -69. What is the units digit of 2/t + (-58)/y?
6
Let m(k) = -2*k + 3. Let i be m(3). What is the units digit of 84/6 - (i - -3)?
4
Suppose 2*k + 3*r = 8313, 48*r - 12 = 44*r. What is the tens digit of k?
5
Let v(c) = -32*c + 14. Let r be v(6). Let q = 374 + r. What is the units digit of q?
6
Let x = 38 - 20. Let j be x/(-12)*6/(-9). What is the tens digit of (8 - 0)*3/j?
2
Suppose -6 = -3*p + 33. Let w = p + 12. What is the tens digit of w?
2
Let f be (3/(-3) - -2)/(-1)*-4. Let p(c) = -c**3 + 4*c**2 + 6*c - 3. What is the units digit of p(f)?
1
Let b be (-8 + 5)/((-6)/16). Let z be -2 - (3 - (-1 + b)). Suppose 0 = -5*p - 7*x + 2*x + 80, z*x + 101 = 5*p. What is the units digit of p?
9
Suppose -32*h + 2397 = -80579. What is the units digit of h?
3
Let q(u) = u**3 + 9*u**2 + 7*u + 9. Let f be q(-8). Suppose 5*w - 5*x - 25 = 0, 3 = 3*w - 4*x - f. Suppose w = -3*s + 6*s - 99. What is the units digit of s?
3
What is the tens digit of -2 + 423 - (5 - 4)*2?
1
Let j(z) = 53*z**2 + 6*z + 78. What is the hundreds digit of j(7)?
7
Suppose -130 = -10*y + 5*y. Let b = -31 + y. Let z(k) = -k**3 - 4*k**2 - 4*k + 7. What is the tens digit of z(b)?
5
Let q(g) = 328*g**2 - 19*g - 2. What is the tens digit of q(2)?
7
What is the tens digit of (6*1)/((-62)/(-2201))?
1
Let y(m) = 3*m - 9. Let d be y(11). Suppose c + 0*c = d. What is the units digit of (-6)/c - (-306)/8?
8
Let t(b) = 103*b - 29. What is the units digit of t(1)?
4
Let d(x) = -x**2 - 9*x - 9. Let p be d(-7). Let z = 9 - p. Suppose -z*w + 28 = -44. What is the tens digit of w?
1
Let g = 136 + -136. Suppose -a - 3*r = -112 - 63, 4*a - 4*r - 748 = g. What is the units digit of a?
4
Let b = 385 - 143. Let t be (-26)/65 + b/5. Suppose 5*u - t = 107. What is the tens digit of u?
3
Let u = 178 + 20. Let k = u + -9. What is the units digit of k?
9
Let f = -15 - -20. Suppose 0 = -f*z + 16 - 11. Let w(s) = 35*s**2. What is the tens digit of w(z)?
3
Suppose -2*p - 20 = -p. Let m = -8 - p. What is the tens digit of m?
1
Suppose 4*p - 20 = -p. Suppose -p*g + 73 = -5*u, -g + 39 = g - 5*u. What is the units digit of g?
7
Let d(r) = -6*r**3 + 2*r**2 - 8*r + 3. What is the tens digit of d(-4)?
5
Suppose 4*u + 1542 - 4630 = 0. Suppose 0 = 9*v + 205 - u. What is the units digit of v?
3
Let o = 228 - -326. What is the units digit of o?
4
Suppose 0 = -0*v + 5*v - 2110. What is the units digit of v?
2
Let w = -62 + 6. Let f = 151 + w. What is the tens digit of f?
9
Let g = 29 + -17. Suppose -z + g = 2*z. Suppose z*j + 50 = 6*j. What is the units digit of j?
5
Let n = 88 - -21. Suppose 379 - n = 10*k. What is the units digit of k?
7
Let p be (-1805)/55 + 2/(-11). Let j = 22 + p. Let f = j - -50. What is the tens digit of f?
3
Suppose -3*b = 17 + 4. Let o = 9 + b. Suppose t + 39 = 2*x + 7, 19 = x - o*t. What is the tens digit of x?
1
Let z(s) = 3*s**3 + 7*s**2 - 17*s - 4. What is the units digit of z(4)?
2
Suppose 6*h = 2*u + h - 102, 2*h - 4 = 0. Suppose k + k - u = 0. Suppose 27*s + 59 = k*s. What is the units digit of s?
9
Let a be 5 + -1 - (2 + -1). Suppose -a*o + 2*f + 104 = -3*f, -5*o = -3*f - 168. What is the tens digit of o?
3
Let v = -73 - -547. Suppose 12*g - 9*g - v = 0. What is the units digit of g?
8
Suppose 0 = 3*z + 4*u - 567, -3*u + 564 = 2*z + z. Suppose -8*s - 73 = -z. What is the tens digit of s?
1
Suppose 0 = -2*t - 3*t + 2540. What is the tens digit of t?
0
Let k(b) = b**3 + 8*b**2 - 3*b - 6. Let a = -17 + 13. Let c be k(a). Suppose -5*s + 5*l + c = 0, s - 4 = l + 2*l. What is the units digit of s?
9
Suppose -8 = 3*l - 5*x + 22, -5*l - 2*x - 19 = 0. Let p(t) = -2*t + 6 + 8*t - t - 4*t. What is the units digit of p(l)?
1
Let r(i) = -13*i + 11. Let h(l) = -168*l + 144. Let m(s) = 3*h(s) - 40*r(s). Let b be m(-8). What is the units digit of b/(-22) - 8/44?
6
Suppose -3*q - 25*s + 6646 = -23*s, 2*q = 4*s + 4420. What is the units digit of q?
4
Let z(u) = u**3 + 9*u**2 + 4*u + 21. Let g be z(-9). Let d(f) = -10*f - 34. What is the tens digit of d(g)?
1
Let z = 110 - 66. Suppose u - z = 115. What is the tens digit of u?
5
Suppose -27*t + 1409 = -26*t + 4*g, t + 2*g - 1409 = 0. What is the tens digit of t?
0
Let p be (6 - 3 - -191) + -2. Let d be p/9 - 2/6. Suppose 15 = g - d. What is the tens digit of g?
3
Let l be (-10)/(-1)*(56 + -3). What is the tens digit of l/8 - 3/(-4)?
6
Suppose 166*c - 160*c = 5328. What is the units digit of c?
8
Let h(l) = 7*l**2 - 9*l - 28. What is the units digit of h(-4)?
0
Suppose 3*g + 5*d - 375 = -0*g, 492 = 4*g + 4*d. Suppose 3*l = l + g. Suppose -v + 6*v - l = 0. What is the units digit of v?
2
Let s = 143 - 127. What is the units digit of s?
6
Let f(t) = -t**3 + 7*t**2 - 2*t - 10. Suppose 6*m - 15 = 3*m. Let l be f(m). Suppose h + z - 106 = -2*h, h - l = -3*z. What is the units digit of h?
6
Let m(d) = 12*d**2 + 11*d - 10. What is the units digit of m(-6)?
6
Let y(n) = 58*n**2 + 17*n + 49. What is the tens digit of y(-3)?
2
Let a(i) = -i**2 - 7*i + 3. Let s b