
9
Suppose 0 = 4*p - 0*p - 12. Suppose -4*u + 0*l + 7 = -l, 34 = p*u + 5*l. What is the units digit of u?
3
Let y(u) = -3*u + 15. Let d be y(-11). What is the units digit of (3 - 3)/1 + d?
8
Let p be (-6)/(-12) + (-1)/(-2). Let l = p - 1. Suppose 4*w = x - 16 + 42, l = -5*w - 5*x + 20. What is the units digit of w?
6
Let q = 0 + 2. Suppose q*o = -0 + 4. Suppose o = n - 11. What is the tens digit of n?
1
Let v(x) = x**2 - 3*x - 7. Suppose -i + 5 = -0*i - 4*n, 0 = 2*n. Let g be v(i). Suppose -8 = -g*z + 10. What is the units digit of z?
6
Suppose v + 3*v = 624. What is the tens digit of v?
5
Let y(r) = -r**2 + 8*r - 7. Let f = -5 - -12. Let h be y(f). What is the units digit of -4*(h - (-1)/(-4))?
1
Let a(w) = -1 + 3 - 3 + 8*w. What is the units digit of a(2)?
5
Let v be ((-6)/4)/(5/(-10)). Suppose 0 = -5*z + 4*z - 4*q + 21, -v*z - 1 = -4*q. What is the units digit of 42/z - 2/5?
8
Suppose -2*o + 125 = 3*o. What is the units digit of o?
5
Let d(r) = r**2 + 0 + r**2 - 2*r - r**2 - 1. What is the units digit of d(-3)?
4
Suppose 4*t - 2*u - 52 = 0, 5*u - 20 = 4*t - 78. What is the units digit of t?
2
Let m be ((-156)/91)/((-2)/7). Let y(f) = -f**2 + 9*f - 3. What is the units digit of y(m)?
5
Let j be 0/(-3) - 6/(-2). Suppose -p - 3*d - j = 9, 0 = 4*p - d - 17. Suppose 5*y - p - 7 = 0. What is the units digit of y?
2
Let j = -8 + 7. Suppose 2*x - 24 = -4*c + 2, 10 = 2*c. What is the units digit of -1 + j + 21/x?
5
Let y(u) = u - 3. Let x = -15 + 22. Let t(v) = 4*v - 9. Let g(j) = x*y(j) - 2*t(j). What is the units digit of g(-5)?
2
Let k = 383 - 32. What is the tens digit of k/21 - 4/(-14)?
1
Suppose -10 - 18 = -4*n. Let t = n + 7. What is the tens digit of t?
1
Let s be 2 + -1 + 1/1. Suppose s*d + 12 = 3*d. What is the tens digit of d?
1
Suppose -i + 104 = -22. What is the hundreds digit of i?
1
Let b = 500 + -249. Suppose 4*i + 95 = b. What is the units digit of i?
9
Let w be (1 - 7)*(-12)/9. Let l = -4 + w. What is the units digit of (9/l)/(9/24)?
6
Let s(h) = 1. Let c(n) = 30*n**2 + 2*n - 5. Let b(r) = c(r) + 4*s(r). Let p be b(1). Let d = p - 21. What is the units digit of d?
0
Let v(t) = t**2 - 2*t + 1. Let h be v(1). What is the tens digit of -3 + 42 - (0 - h)?
3
Let z = 30 - -217. What is the hundreds digit of z?
2
Suppose 3*x = 5*v + 72 + 69, -69 = -2*x - 5*v. What is the tens digit of x?
4
Suppose -13*m = -4*m - 99. What is the units digit of m?
1
Let p = 40 - 16. Suppose -5*r + p + 86 = 0. What is the units digit of r?
2
Let p = -26 - -16. Let o = 14 + p. What is the units digit of o?
4
Let d be (-107)/5 + 34/85. Suppose 0 = 3*i + 4*k + 10, 3*k + 18 = 3*i. What is the units digit of i/7 - 15/d?
1
Let t(b) = -b**3 - 6*b**2 + 1. Let n be t(-6). Let f(z) = z + z + n - 6. What is the units digit of f(6)?
7
Suppose 0 = -2*y - 0 + 6, v - 14 = 2*y. Let m(n) = 8*n**2 + v - 13*n**2 - n + 6*n**2. What is the tens digit of m(0)?
2
Suppose -3*b = -2*b - 1. Suppose 0 = 5*j - m + 20, j - 4*m + 3 = -b. What is the units digit of ((-6)/j)/((-6)/(-8))?
2
Suppose 2*v = -5*c + 2998 - 1042, -3*c + 1178 = -v. Let k be 4/22 + c/22. What is the units digit of k*(2/4 - 0)?
9
Let w(y) be the first derivative of -y**4/4 + 2*y**3/3 + y**2 - 2*y + 4. What is the units digit of w(2)?
2
Let c be (1 + 1)*3/6. What is the tens digit of (-18 + 8)/(c/(-3))?
3
Suppose 5*u = u. Let a = u - -12. What is the tens digit of a?
1
Let y(j) = -2*j + 1. Let l be y(5). Let a be 6/l - 16/(-6). Let w = a - 0. What is the units digit of w?
2
Let z(m) = -m - 5. Let u be z(-7). Suppose u*d + 0*l + 3*l - 56 = 0, 0 = 3*d + l - 77. What is the tens digit of d?
2
Suppose 2*k = -3*k + 80. Suppose -5*r + 2*l = -0*l + 48, l - 9 = r. Let x = r + k. What is the units digit of x?
6
Let o(w) be the third derivative of w**6/120 - 7*w**5/60 - 7*w**4/24 - w**3/2 + 3*w**2. What is the units digit of o(8)?
5
Suppose d + 4*g - 4 = 0, -d + 4 = -0*d - g. Let p be -4*(6/d + -2). Suppose p*i + 7 - 25 = 0. What is the units digit of i?
9
Let y(m) = m**3 - 9*m**2 + m. What is the units digit of y(9)?
9
Let n = 2 + -2. Suppose n = -r - 3 + 8. What is the units digit of r?
5
Let y(c) = -c**3 - 6*c**2 + 7*c + 2. Let u be y(-7). Suppose 2*i - 14 = d, 0 = -7*i + u*i + 3*d + 35. What is the units digit of i?
7
Suppose -2*s + 221 = -2*y - y, -4*s - y + 421 = 0. What is the tens digit of s?
0
Let q(u) = -3*u**3 + 3*u**2 + 2*u + 1. Let r be q(-2). Suppose 0*l - r = -3*l. What is the tens digit of l?
1
Suppose 3*s = -2*s + 35. Suppose 0 = -2*b, 3*x = x + b + 4. Suppose x*y + 5 = s*y. What is the units digit of y?
1
Let n(l) = 3*l. What is the units digit of n(2)?
6
Let q(f) = 12*f. Let g be q(1). Suppose -3*h + g = 4*w, 3*w - 2*h + 3 = 4*w. What is the units digit of w?
3
Let c = -14 - -14. Suppose -4*r = z - 13, c*r = -r - 5*z + 8. What is the units digit of r?
3
What is the units digit of 4*(-1)/6*525/(-2)?
5
Suppose -316 = -3*q - 2*l + 662, -l - 969 = -3*q. What is the hundreds digit of q?
3
Let p = 6 - 4. Suppose 0 = -y + 48 - p. What is the units digit of y?
6
Suppose -4*z + 8 = z - 4*q, 2 = -3*z - q. Suppose z = -2*m + i + 78, -i - i = 0. What is the units digit of m?
9
Let a be ((-3)/(-2))/(18/12). Suppose -55 - a = -2*s. What is the units digit of s?
8
Suppose 5*s = 7 + 8. Suppose -2*y = -s*y + 5. Let m(b) = b - 3. What is the units digit of m(y)?
2
Let a = 15 + -18. What is the units digit of 4/((-4)/(-1)) - a?
4
Let g(s) = 5*s**2 - 7*s + 27. Let q(w) = -3*w**2 + 4*w - 13. Let k(z) = 4*g(z) + 7*q(z). What is the units digit of k(0)?
7
Let c be 153/6*(-4)/(-6). Let l = 27 - c. What is the units digit of l?
0
Let h(i) = i**2 - 6*i - 11. Let z be h(9). Suppose -3*v = 3*t - 20 - z, v + 8 = 3*t. Suppose 3*j - g - 22 = -v, -5*g - 15 = 0. What is the units digit of j?
4
Let o = 68 + 3. Suppose 4*x - o = -4*h - h, 2*h - 31 = x. What is the units digit of h?
5
Let w(f) = 54*f**3 + f**2 + f - 1. What is the units digit of w(1)?
5
Suppose -v = -2*c + 3 + 3, -4*v - 4 = -3*c. Suppose -2*b + 9 = c*j + 1, 3*j + 20 = 5*b. Suppose j = n - 0 - 1. What is the units digit of n?
1
Let p = -6 - -6. Suppose -5*l - 205 = 4*v - 9*v, p = -4*l. What is the units digit of v?
1
Suppose 3*d - 7*d = -116. Suppose 31 = -b + 6*b + p, 2*p + d = 3*b. What is the units digit of b?
7
Suppose -4*i + 927 = -m, -4*i - 5*m + 932 = -m. What is the tens digit of i?
3
What is the units digit of 23 - -3*(-3)/(-9)?
4
Suppose -19*r - 180 = -37*r. What is the units digit of r?
0
What is the tens digit of -1*4/((-12)/69)?
2
Let c(m) = m**3 - 15*m**2 - 23*m - 31. What is the tens digit of c(17)?
5
Suppose -17 = -n + 7*v - 3*v, -13 = -n + 3*v. Let z be (-2)/(-5) + 4/(-10). What is the units digit of (z/3)/n - -17?
7
Let t = 6 + -5. Let g be (69 - (2 - t)) + 3. Suppose 4*b = 1 + g. What is the tens digit of b?
1
Let m = 5 - 3. Suppose 2*z - 5*q = -35, -25 = -7*q + m*q. What is the tens digit of -1 - z/(10/28)?
1
Let x = 83 + 46. What is the hundreds digit of x?
1
Let s = -25 - -15. Let u(a) = -a**3 - 11*a**2 - 11*a - 8. What is the units digit of u(s)?
2
Let p be (-25)/(-4) + (-4)/16. Suppose -p*b + 2*b = -136. What is the units digit of b?
4
Let u be 994/5 - (-1)/5. Let f = u - 137. Suppose 4*a - 2*r = f, -a - 2*a + 41 = 4*r. What is the units digit of a?
5
Let t = 107 + -55. What is the units digit of t?
2
Let j(s) = s. Let t be j(0). Suppose t = 3*r - 40 + 1. What is the tens digit of r?
1
Suppose -6*t + 4*t = -56. Let r = t + -16. What is the tens digit of r?
1
Suppose -4*t + 3*i + 0*i = 17, -4*t - 4*i = -4. Let k be 2/(-4) - 5/t. Suppose k = r - 1. What is the units digit of r?
3
Let d be ((-5)/4)/((-4)/32). Let v = 11 - d. What is the units digit of v?
1
Suppose -3*f + 5*t - 28 = 0, -2*f + 8 = 3*t - t. Let g(i) = -1 + 1 - 11*i + 1. What is the units digit of g(f)?
2
Let x = 0 - 9. What is the units digit of (-1)/(-3) - 60/x?
7
Let y be (-248)/(-60) - (-4)/(-30). Suppose -y*x = r - 8, r + 5*x = -r + 13. What is the units digit of r?
4
Suppose -17 = 7*x - 8*x. What is the units digit of x?
7
Let v(s) = s + 2. Let q be v(-6). Let z(n) = n**3 + 5*n**2 + 3*n - 2. What is the units digit of z(q)?
2
Let r = 9 + -7. What is the units digit of (r/(-3))/(1/(-42))?
8
Suppose t = -5*b + 3*t + 105, -26 = -2*b + 4*t. What is the tens digit of b?
2
What is the unit