 - 18 = -2*k, -2*k + 19 = -a - 2*a. What is the units digit of k?
8
Suppose 2*g - 113 = 35. What is the tens digit of g?
7
Let p(c) = c + 7. What is the units digit of p(5)?
2
Let u(z) = -2*z - 2. Let w be u(7). What is the units digit of (-94)/(-8) + (-4)/w?
2
Let u(k) = k**3 + 2*k**2 - k - 2. Let o be u(-2). Let b(a) be the second derivative of a**5/20 + a**4/12 - a**3/6 + a**2/2 + a. What is the units digit of b(o)?
1
Suppose 48 = j + 2*y + 16, -9 = -3*y. Let k = j - 18. What is the units digit of k?
8
What is the units digit of (-4)/2 - (-1)/((-2)/(-196))?
6
Suppose 5*d - 4*i + 38 = 0, -2*i = -4*d - 7*i - 14. Let m be -3*(2 - (-146)/d). Suppose 24 = -5*u + 4*p + m, -4*p - 22 = -2*u. What is the units digit of u?
7
Let h be ((-3)/1)/(6/(-4)). Let s(f) = -3*f**h + 2*f**2 + f + 2*f**2. What is the units digit of s(-2)?
2
Suppose 0*c + 18 = -2*c. Let o = -4 - c. What is the units digit of o?
5
Let g(a) = -a**2 - 8*a + 1. Suppose 0 = 3*b + 4*s + 23, 4*s + 15 = -2*b - 3. What is the tens digit of g(b)?
1
Let w(r) = -r**2 - 9*r. Let j be w(-9). What is the units digit of j - (2 + 57/(-3))?
7
Let h be 7/35 + (-364)/(-5). Let l = 104 - h. What is the tens digit of l?
3
Let r = -7 - -12. Let n(x) = 0*x - 7 - 4*x + x + x**2. What is the units digit of n(r)?
3
Let b be (-5 + -1 + 2)*-1. Suppose -1 = -5*m + b*m. What is the units digit of m?
1
What is the units digit of (0 + 2)/((-8)/(-76))?
9
Let n = 27 + -11. Let f = n + -1. Let g = -11 + f. What is the units digit of g?
4
Let r = 97 + -62. Suppose 25 + r = 3*h. What is the units digit of h?
0
Let s = 21 - -2. What is the tens digit of s?
2
Suppose c = 2*b + 45, -2*b = -0*b - 2. Suppose 0 = 2*g + o + c, -7*o + 3*o = 12. Let t = -10 - g. What is the units digit of t?
2
What is the units digit of 2 - 2*11/(-1)?
4
Let p(w) = w**3 - 4*w**2 + 5*w - 6. Let v be p(4). Suppose -2*r = 5*a - a + v, 0 = -r - a - 2. What is the units digit of r?
3
Suppose -2*m + 3*m = 5. Suppose 3 = m*y - 2*y. What is the units digit of y?
1
Suppose 2*r = -2*r - 20. Let u = r + 7. Suppose -u + 34 = 4*v. What is the units digit of v?
8
What is the units digit of 0 + (3 - 2) + 2 + 2?
5
Let g(v) = -3*v - 2. Let y be g(-2). Suppose -4*u - 45 = -2*l + 53, 2*l + y*u - 58 = 0. Suppose 0 = 3*f - 0*f - l. What is the tens digit of f?
1
Suppose 0 = 2*b - l - 24, -5 = -3*b + 3*l + 37. Let o(u) = -u + 13. Let d be o(b). What is the units digit of d - (0 - -2 - 1)?
2
What is the units digit of (4/6)/(10/1395)?
3
What is the tens digit of 3/(-4)*-4*11?
3
Let h(w) = -w + 5. Let l(i) = 2 + 0*i + 6*i - 3 - 2*i. Let t be l(-1). What is the units digit of h(t)?
0
Let t(d) = -d**3 + 3*d**2 + 4*d - 2. Let x be t(4). Let v = -11 - x. What is the tens digit of (3/(-2))/(v/60)?
1
What is the units digit of (-3)/(-1 + 1 + -3)?
1
Suppose -5*b + 8 = -3*s, 3*s + b = 2*b + 8. Suppose s*u + 2 = 6*u. What is the units digit of u?
1
Let v = 21 + 30. What is the units digit of v?
1
Let b(s) = s**2 - 12*s + 3. Let z be (-172)/(-14) + 6/(-21). What is the units digit of b(z)?
3
Let w(l) = 3*l**2 + 3*l + 2. Let u(c) = -c**2 + c. Let z(y) = 4*u(y) + w(y). Let d be -1 - 1 - (1 - 8). What is the units digit of z(d)?
2
Let o be 70/6 + (-1)/(-3). Let j be (-200)/o*12/(-5). Suppose 5*v + 2*f = 50, 4*v - j = -2*f + 3*f. What is the tens digit of v?
1
Let y(q) = q**2 - q - 1. Let g(n) = 2*n**2 - 2*n - 8. Let i(p) = -g(p) + 3*y(p). What is the tens digit of i(-4)?
2
Suppose 2*u = 2*g + 28, 0*g + 40 = 5*u + 5*g. What is the tens digit of u?
1
Suppose 68 = -v + 2*p + 166, 0 = v + 2*p - 86. What is the tens digit of v?
9
Suppose -3*f = -5*o - 5*f + 26, 9 = 3*o - f. Suppose l - o = -l. What is the units digit of l?
2
Let u(w) = w + 1. Let f be u(-1). What is the units digit of 10/5 + (f - 1)?
1
Let o(y) = 11*y. Let j be o(1). Suppose -5*w + j + 50 = 4*s, 5*s = -w + 92. What is the units digit of s?
9
Let h be -2 + (3 - (1 - 6)). What is the tens digit of 88/6 - (-2)/h?
1
Suppose -2*l + z + 167 = 2*z, -76 = -l + z. What is the tens digit of l?
8
Suppose 0 = -0*w + w + 4. Let v(a) be the second derivative of a**4/12 + 5*a**3/6 + 5*a**2/2 - 5*a. What is the units digit of v(w)?
1
Suppose -24 = -2*b + 12. Let x be 3/(-9) + 85/3. Let z = x - b. What is the tens digit of z?
1
Let y(n) be the first derivative of -n**4/4 - 7*n**3/3 - 7*n**2/2 + 7*n - 10. What is the tens digit of y(-6)?
1
Let p(k) be the third derivative of k**5/20 + k**3/6 + 3*k**2. Let i be p(1). Let c = i + -2. What is the units digit of c?
2
Suppose -7*b + 275 = -2*b. What is the units digit of b?
5
Suppose 0 = -5*d - 4*a + 25, -d - 10 = -3*d + 2*a. What is the units digit of d?
5
Suppose 0 = i - 6 - 1. Suppose s = -2*w - 0 + i, -5*w = -s - 35. What is the units digit of w?
6
Suppose 2*j - 4 = -0*j. Let x = j + 2. What is the units digit of x?
4
Suppose 6*b - 2*b = 0. What is the units digit of (20/1 - 0) + b?
0
Let i(c) = 77*c**2 - 1. Let g be i(1). Suppose s + 3*j + 26 = g, 125 = 3*s + 4*j. Suppose 5*t = -0*t + s. What is the units digit of t?
7
Let p(v) = 4*v**2 + v. Suppose -5 - 5 = -5*u, 2*t = -3*u + 10. What is the units digit of p(t)?
8
Let k(f) = -f**3 + 8*f**2 - 8*f - 2. Let y be k(7). Let q be 12/(-9) + (-186)/9. Let m = y - q. What is the units digit of m?
3
What is the units digit of (508/(-10))/(8/(-20))?
7
Suppose 0 = 2*p + 4*b + 6, 3*b + 15 = 5*p - 2*b. Let u = -2 + p. Let j = 1 - u. What is the units digit of j?
2
Suppose 4*u + 292 = 2*t - t, 1529 = 5*t + 3*u. What is the hundreds digit of t?
3
Suppose 2*l - 14 = -0*l. Suppose -l*y + 130 = -2*y. What is the tens digit of y?
2
Suppose r + 0*r = -4*v + 524, 5*v + 5*r = 655. What is the tens digit of v?
3
Suppose -7*t + 3*t + 80 = -2*g, -2*g = 4. What is the tens digit of t?
1
Let c be 17 + 5/(10/(-4)). Suppose -2*r + f + f = 4, 4*f = 20. Let b = c - r. What is the units digit of b?
2
Let y = 248 + -80. What is the units digit of y?
8
Let r(o) = o**2 - 4*o + 6. Let f be r(5). Let b = f + -4. Let k = 0 + b. What is the units digit of k?
7
Suppose -5*o + 3*o + 80 = 0. What is the tens digit of o?
4
Let s = 1 - 1. Suppose 5*r - 3*m + 34 - 139 = s, 0 = -r + 2*m + 28. What is the tens digit of r?
1
Let n(x) = x**3 + 6*x**2 - 2*x - 1. What is the units digit of n(-6)?
1
Let m(h) = h + 13. Let l(b) = -b - 12. Let a(p) = -3*l(p) - 2*m(p). Let s(r) = -r**3 - 12*r**2 - 9*r + 16. Let q be s(-11). What is the units digit of a(q)?
4
Let v(w) be the second derivative of -w**5/20 - w**4/3 - 5*w**3/6 - 2*w**2 - 4*w. What is the units digit of v(-3)?
2
Suppose 4*j - z - 382 = 0, -4*j = -0*j - 4*z - 376. Suppose 0*u = 4*u - j. What is the units digit of u?
4
Let y(g) = 2*g**3 - 2*g**2 - 3*g + 2. Let l be y(2). Suppose 0 = -5*r + 2*h + 120, 42 = -l*r + 2*h + 138. Let p = r + -10. What is the tens digit of p?
1
Suppose 2*u + 3*u + 2*c = 131, 0 = -3*u + 2*c + 85. Suppose w + 3 - u = 0. What is the units digit of (-2)/5 + w/10?
2
Suppose -4*y + h = -0*h - 43, 4*h + 52 = 4*y. What is the tens digit of y?
1
Let y be 1*(38 - 3 - -3). Let x = y + -13. What is the units digit of x?
5
What is the tens digit of ((-2)/(-8))/((-2)/(-168))?
2
Let z(p) = 2*p**2 - p. What is the units digit of z(4)?
8
Suppose 194 = 3*n + 5*i, 3*n + 142 = 5*n - 3*i. What is the units digit of n?
8
Suppose 3*x = -0*x + 15. What is the units digit of 57/15 - (-1)/x?
4
Let k = -55 + 485. What is the hundreds digit of k?
4
Let n(z) = z - 1. Let t(a) = 2*a + 3. Let y(o) = n(o) - t(o). Let h(j) = 4*j + 11. Let s(m) = 4*h(m) + 14*y(m). What is the units digit of s(12)?
2
Suppose -5*m = -2*u + 13 + 16, u = 2. Let j = m + 5. Suppose 5*b = 3*p - 3 - 4, -4*p - 4*b + 52 = j. What is the units digit of p?
9
What is the units digit of (-67)/(-1)*(-4)/(-24)*6?
7
Suppose 3*q + 3*s = 12, 2*s + 0*s + 34 = 4*q. Suppose q*k = 3*k + 20. What is the units digit of k?
5
Let z(d) be the third derivative of d**6/120 - d**5/10 + d**4/8 + 4*d**3/3 - 4*d**2. What is the units digit of z(6)?
6
Suppose z = 5*m + 2*z - 181, 4*m - z - 152 = 0. Suppose -4*g = -3*o - m - 3, -5*o = 0. What is the tens digit of g?
1
Let m = -203 + 292. Suppose 21 = -2*w + m. What is the units digit of w?
4
Suppose -5*k + 20 = -3*j, 1 = j + 2*k - 7. Suppose -h + j = -3. What is the units digit of h?
3
Suppose -5*a + s + 731 + 343 = 0, -4*a + 3*s = -8