- 5*r = 2*a + 6, -4*a = -r + 12. Let q be 20/16*(-4 - r). Let l = q - -8. What is the units digit of l?
3
Let b(u) = -u**3 - 6*u**2 - 5*u + 3. Let c be b(-4). Let n be (-24)/c - (-2)/6. Suppose 0 = n*s + 1 - 4. What is the units digit of s?
1
Suppose 5*y - 6 = 9. Let g be y/2 + (-6)/4. Let o(i) = i**3 + i**2 + i + 13. What is the tens digit of o(g)?
1
Suppose -2*y = 2*y - 60. What is the tens digit of y?
1
Let m(g) = g**2 - g - 10. Let s be m(0). Let k(n) = -n - 7. Let l be k(-16). What is the units digit of 1 + l/(-6)*s?
6
Suppose -25 - 10 = 2*p + f, 85 = -3*p + 5*f. Let s = 40 + p. What is the units digit of s?
0
Let u = 8 - 5. Suppose -u*b = -1 - 5. Suppose b*r + 3*r = 30. What is the units digit of r?
6
What is the units digit of (-63)/(-4) - 3/(-24)*2?
6
Let w = 26 - 32. Let i = w + 12. What is the units digit of i?
6
Let p(t) = 12*t + 8. What is the units digit of p(2)?
2
Suppose 0*g - 2*g = 0. What is the units digit of ((-10)/2)/(g + -1)?
5
Let j(r) = -r + 9. Let w be j(6). Suppose -2*f - 13 = 3*t, -5*f + 6 = w*t - t. Let y = 2 - t. What is the units digit of y?
9
Suppose 5*g - p - 73 = 0, -4*g - 7*p + 3*p + 44 = 0. Let n(d) = -2*d**3 + d**2 + d + 1. Let k be n(-1). What is the tens digit of (4 - k)*g - 3?
1
Suppose 2*k - 5*k = 0. Suppose z + 4*y + 6 = k, 0 = -5*z - y - 2*y + 55. What is the tens digit of z?
1
Let t be (-15)/(-2)*(0 - 2). Let n = 4 - t. What is the tens digit of n?
1
Suppose -310 = -3*p + 2*u, -p - 5*u - 99 = -2*p. What is the tens digit of p?
0
Let c be 6*3*3/2. Let t = c - 11. What is the tens digit of t?
1
Let c(n) = n**3 - 9*n**2 + 9*n - 6. Let h be c(8). Suppose 2*l + 18 = -3*f + 4, -3*f + h*l - 10 = 0. Let k = f - -7. What is the units digit of k?
3
Suppose 4*j - 13 = m, 5*j - 2*m = -3*m + 5. Suppose -5*w + 4*w + j*r = -13, -4*r + 12 = 0. What is the units digit of w?
9
Let f(o) = o**2 + 7*o + 7. Let x be f(-9). Suppose -4 = 2*h - 4*h. Suppose h*c - x = -3*c. What is the units digit of c?
5
Suppose -w - 1 = 2*x + 2, -x - 4 = -2*w. Let s(g) = -1 - w + 2*g + 1 - g. What is the units digit of s(3)?
2
Suppose -4*q = -12 - 236. What is the units digit of q?
2
Let p(u) = u**3 - 9*u**2 - 16*u + 12. What is the units digit of p(11)?
8
Suppose -3*f + 4 = -5*d, -3*d + 4 = -f - 0. Let v = f + -5. Suppose 5*m - 60 = -5*c - 0*c, 5*m - 20 = v*c. What is the units digit of m?
7
Let f = 204 + -103. Suppose 3*b - 5*r + 15 = f, b - 3*r - 26 = 0. Suppose -2*x + 6*x - b = 0. What is the units digit of x?
8
Let w(z) = z**3 - 7*z**2 - 7*z. Let u be w(8). Let q = 9 - u. What is the units digit of q?
1
Let k be (-2)/(-6) + 20/12. Suppose 4*p - k*h - 6 = 0, 3*p = 8*p - 2*h - 8. What is the units digit of p?
2
Suppose -3*m - 37 = 2*y, 3*y + 4*m + 22 + 31 = 0. Let r = 3 - y. What is the units digit of r?
4
Suppose -5*y + 63 = -2*y. Let g = y - 13. Let f = g + -5. What is the units digit of f?
3
Let j(w) = w**3 - 10*w**2 + 2*w - 6. What is the tens digit of j(10)?
1
Let z(c) = c**2 - 2*c - 4. What is the units digit of z(4)?
4
What is the tens digit of (190/(-4))/(72/(-16) + 4)?
9
Let m(l) = -18*l. What is the tens digit of m(-2)?
3
Let w(u) be the first derivative of -u**4/4 + u**3 + u**2/2 - 2*u + 1. Let p be w(3). Let d = p - 0. What is the units digit of d?
1
Suppose -3*h + 2*u = -54, 4*h - 37 - 35 = 4*u. What is the units digit of h?
8
Let v(x) = -25*x - 9. What is the tens digit of v(-7)?
6
Suppose -3*d + 40 = 2*d. What is the units digit of d?
8
Let o be (3 - 5) + (6 - -1). Suppose 0 = o*n + 25, -2*n + 1 = -4*i + n. What is the units digit of i/16 - 37/(-4)?
9
What is the hundreds digit of (-3278)/33*(-6)/4?
1
Let r(g) be the third derivative of -g**4/24 + 8*g**3/3 + g**2. What is the units digit of r(9)?
7
Let h be ((-6)/(-4))/(3/(-20)). Let d = h + 11. What is the units digit of d?
1
Let q = -15 - -21. What is the tens digit of ((-42)/(-5))/(q/20)?
2
Let w(j) = j**3 - 11*j**2 + 10*j + 5. Suppose x - 52 = -3*x. Suppose x = f + 3. What is the units digit of w(f)?
5
Suppose -2*o - 1 = -9. Suppose 0 = -o*a + 3*d + 14, -5*d = 4*a - 0*d + 2. What is the units digit of a?
2
What is the tens digit of (-2)/18 - (-1838)/18?
0
What is the tens digit of 209 + (4 - 1)/1?
1
Let d(k) be the third derivative of -k**6/120 + k**5/60 + k**4/24 + 11*k**3/2 - 4*k**2. Let f be d(0). Suppose f - 13 = 5*j. What is the units digit of j?
4
What is the tens digit of -2*(-3 + 30)*(-80)/15?
8
Let i(b) = -3*b - 2*b + 4 + 3 + b**2. Suppose -l - 7 = 3*n, -l + 18 = l - 2*n. What is the units digit of i(l)?
7
Suppose -5*i + 29 = 3*r, 26 = 3*r - 0*r + 2*i. Let z = 3 - r. What is the units digit of 1/z - 55/(-25)?
2
What is the tens digit of (-630)/(-25)*(-20)/(-6)?
8
Suppose -287 - 183 = -5*f. What is the units digit of f?
4
Let s = 28 + 2. What is the units digit of s?
0
Let h = 11 + -6. Suppose 0 = -o - 5*s - 16, h*o + 3*s - 40 = -10. Let u = o + -5. What is the units digit of u?
4
Suppose 4*v = -0*v + 8. Suppose z = -v*z. Suppose z + 4 = j. What is the units digit of j?
4
Suppose 0 = 2*k - 4 - 4. Suppose -3*b + 2*b - k*q - 9 = 0, 0 = -b + q + 16. What is the units digit of b?
1
Let a(v) = 1. Let r(i) = i**2 + 2. Let k(l) = -5*a(l) + 2*r(l). What is the tens digit of k(5)?
4
Let p(b) be the second derivative of b**6/120 - b**5/60 - b**4/8 - b**3/2 - b**2 - b. Let r(c) be the first derivative of p(c). What is the units digit of r(3)?
6
Suppose 0 = -2*l - 32 + 126. Let a = 34 - l. Let i = a + 24. What is the tens digit of i?
1
Let o(x) = -2*x**2 - 1. Let z be o(-1). Let s be (z - 27/(-5))*5. Suppose -5*j + s = -3*j. What is the units digit of j?
6
Let b = 36 + -20. Let o = b + -22. Let d = -3 - o. What is the units digit of d?
3
Let z(d) = d**3 + 7*d**2 + 3. Let r be z(-5). Suppose -r = -4*f + 3*u, -3*u = -2*f + 3*f - 2. What is the tens digit of f?
1
Suppose -6*d + 2*d + 12 = 0. Suppose 3*j - 2*n - 19 = 0, -j = n - 1 + d. Suppose 7 = 4*r + j. What is the units digit of r?
1
What is the units digit of 2/(-9) + (-58)/(-18)?
3
Let b(d) = 36*d**2 + d. What is the units digit of b(1)?
7
What is the units digit of (-382)/(-14) - 2/7?
7
Suppose 5*t - 2*n - 6 = t, -t - 3*n + 12 = 0. Suppose -5*j + t = -2. Suppose -2 = -3*l + 3*c + j, 0 = -3*l + c + 7. What is the units digit of l?
3
Let k = 23 + -41. Suppose -3*l - 175 = 2*l - 5*z, 4*z = -l - 40. Let m = k - l. What is the units digit of m?
8
Let l(j) = j**3 + j**2 + 2*j + 1. What is the units digit of l(3)?
3
Let k(d) = -1. Let x(l) = -l - 5. Let m(b) = -4*k(b) + x(b). Let t be m(-6). Let z = -4 + t. What is the units digit of z?
1
Let d be 16/(-7) + 6/21. What is the units digit of 3 + -1 + d/(-2)?
3
Let a be (-10)/(-45) + 184/(-18). Let x = a - -23. What is the tens digit of x?
1
Let u = 10 - 1. Suppose z - 5*r = -3*r + u, -60 = -5*z + 5*r. What is the units digit of z?
5
Let p(d) = -d**2 + 13*d - 22. What is the units digit of p(9)?
4
Let a(s) = s**2 - 3*s - 2. Suppose 2 + 2 = -2*n. Let m = n + 0. What is the units digit of a(m)?
8
Let u(q) = q + 1. Suppose 3*j = 3*f + 2*f + 13, -5*f = -j + 1. What is the units digit of u(j)?
7
What is the units digit of ((-46)/(-4))/(2/4)?
3
Suppose -4*o + 4*m = 4, 4*o + 4*m - 2 - 18 = 0. Let r(u) = o*u - 1 + 3 - 3 + u. What is the tens digit of r(5)?
1
Suppose -3*o - 9 = 3*q, 11 = -4*q - q - 4*o. Let m be (2*38/4)/q. Suppose -m = -4*z + 5. What is the units digit of z?
6
Let p(k) = 5*k**2 - 2*k + 32. What is the tens digit of p(5)?
4
Suppose 3*c + 1 = 2*c. Let r be -2*((-2)/c - 4). Let h = -1 + r. What is the units digit of h?
3
Let b be 4/6*(-9)/(-6). Suppose i = -b - 2. What is the units digit of 6 - i/((-6)/4)?
4
Let u(d) = 2*d + 1. Let g be u(1). Let f = 5 + g. What is the units digit of f?
8
What is the tens digit of 43/(-4)*8/(-2)?
4
Let m(o) be the second derivative of o**3/3 + 3*o**2 - 3*o. Let r be m(-5). What is the tens digit of 1/r - 57/(-4)?
1
Suppose -3*j = 2*h + 2*j - 3, 45 = -5*h + 5*j. What is the tens digit of 483/28 + h/(-8)?
1
Suppose 8*w + 50 = 3*w - 4*c, 0 = -3*w - 2*c - 28. What is the units digit of (-1)/((w/4)/3)?
2
Let t(z) = -4*z**3 - z**2. Let y be (-6)/4 + 2/4. Let q be t(y). Suppose d + q*d = 56. What is the units digit of d?
4
Let i(k) be the third derivative of 1/4*k**4 + 0 + 4*k**2 - 1/6*k**3 + 0*k. What is the units digit of i(3)?
7
Let y = 62 -