ppose -j = -3*l + 33, -a*l + l + 22 = 2*j. What is the units digit of l?
1
Let h = -19 + 32. Let o = 21 - h. What is the units digit of o?
8
Let u(g) = g**3 + 3*g**2 + g. Let a be u(-2). Let d(p) = 3*p - p + a*p. What is the units digit of d(1)?
4
Let u(i) = -i + 7. Let l be u(9). Let a be -5*(-3 - l) - 1. Suppose -q = -3*f - 3*q + 11, 2*f = -a*q + 18. What is the units digit of f?
1
Let c be (-6)/3 + 38/2. Let q = c + 5. Let w = q + -15. What is the units digit of w?
7
Let p(t) = -t + 4. Let v be p(7). Let g(b) = b**2 - b - 4. What is the units digit of g(v)?
8
Let z be -6 + 6 + (1 - 1). Suppose -6*a + a = z. Suppose 2 = -a*m + 2*m. What is the units digit of m?
1
Let i = 16 + -15. What is the units digit of i?
1
Suppose 3*u = 5*s + 136 + 98, 3*s + 406 = 5*u. What is the units digit of u?
3
Let l(w) = -w + 14. Let b be l(7). Suppose 0 = -4*a + 5 + b. Suppose 3*n = 15 + a. What is the units digit of n?
6
Let k = -22 - -34. Suppose -3*n + m - 3 = -n, 0 = -4*m + k. What is the units digit of -1 + n + 2 + 1?
2
Let c(h) = h + 24. Let v be c(0). Let x = -14 + v. What is the units digit of x?
0
Let l(f) = f**2 + 8*f + 20. What is the tens digit of l(-12)?
6
Let a be (-9)/(-2)*4/6. Suppose -5*l = 3*f - 40, 0*l - 26 = -a*f + 2*l. What is the tens digit of f?
1
Let l be (-57)/(-6)*2 + 1. What is the units digit of (4/5)/(1/l)?
6
Suppose -q + 0*q - 2*g + 50 = 0, -2*q - 3*g + 102 = 0. What is the tens digit of q?
5
Let u be (-5)/(-1 + 2 + 0). Let a(r) = -r**2 - 6*r - 4. What is the units digit of a(u)?
1
Let a = -5 + 9. Suppose -3*v + 2 = 4*d - a, -3*d = 0. What is the units digit of v?
2
Let l = 7 - 3. Suppose 3*k = 0, -k = -l*u + 4*k - 20. Let v = 10 + u. What is the units digit of v?
5
Let t = -232 + 404. What is the tens digit of t?
7
Let t(f) = -3*f**3 - 19*f**2 - 26*f + 5. Let z(d) = -d**3 - 6*d**2 - 9*d + 2. Let q(i) = -3*t(i) + 8*z(i). What is the tens digit of q(-8)?
1
Suppose -5*b + 0*p + 62 = -p, -20 = -2*b - 2*p. Suppose 2*w + b = 3*w. What is the units digit of w?
2
Let a(w) = 3*w. Let t(m) = -7*m. Let d(x) = 9*a(x) + 4*t(x). Let u(i) = i**3 - 7*i**2 + 5*i + 1. Let g be u(6). What is the units digit of d(g)?
5
Let g = 15 + -4. What is the tens digit of g?
1
Suppose -189 = 2*w - 3*w - 5*m, -4*m = 8. What is the hundreds digit of w?
1
Let o be (2 - (1 - -1)) + 2. Let d be 4/2*6/(-4). What is the tens digit of (2 - o/d)*6?
1
Let i(z) be the third derivative of z**4/12 + z**3/3 - 2*z**2. Let j be i(7). Suppose 5*o - 28 = 2*g - 3, j = 2*o - 2*g. What is the units digit of o?
3
Let w(r) = -r**2 + 11*r - 10. Let z = 16 + -7. What is the units digit of w(z)?
8
What is the units digit of 75 + (14 - 4) + -5?
0
Let c be 32 - (2 - 0 - 0). Let i be c/(-4)*2/(-3). Suppose -i - 37 = -3*d. What is the units digit of d?
4
What is the units digit of 1 + 21/6 + (-6)/(-4)?
6
Suppose -36 - 8 = -2*g. Suppose -5*d + 8 = -g. What is the units digit of d?
6
Suppose 9 + 9 = 2*q. Let m(l) = 2 + l + 1 - 6. What is the units digit of m(q)?
6
Let n(o) = -1 - 4*o**2 + o**3 - 1 + 4*o - 4 - o**2. What is the tens digit of n(5)?
1
Let o(q) = q**3 - 10*q**2 - 11*q + 4. Let k be o(11). Let s = 1 + k. What is the units digit of s?
5
Let j(b) be the second derivative of -b**5/20 + b**4/3 - 2*b**3/3 + 2*b**2 + b. What is the units digit of j(3)?
1
What is the tens digit of 2*5*(-216)/(-60)?
3
Suppose -8 = 5*w - 33. Suppose 13 + 117 = -w*m. What is the units digit of 2/(-8) + m/(-8)?
3
Suppose -3*f = -8 - 10. Suppose -2*d + 2 = -f. What is the tens digit of (1 - 3)/(d/(-26))?
1
Let k = -81 - -320. What is the hundreds digit of k?
2
Suppose 7*m = 227 + 298. What is the tens digit of m?
7
Let y(u) be the first derivative of -u**4/4 - u**3/3 + u**2/2 + u - 2. Let c be y(-2). Let g = 4 - c. What is the units digit of g?
1
Suppose -7*v + 91 = -196. What is the tens digit of v?
4
Let z(d) = d**3 - 5*d**2 - 3*d - 4. Let v be z(6). Let r = 27 - v. What is the tens digit of r?
1
Let w = -61 + 184. What is the tens digit of w?
2
Let w(s) = -s**3 - s + 3. Let o be w(0). Suppose o*v - 4 = 11. Suppose -2*i = -v - 7. What is the units digit of i?
6
Let a(m) = -8*m**2 - 3*m - 9. Let h(u) = -4*u**2 - 2*u - 5. Let l(v) = -4*a(v) + 7*h(v). What is the units digit of l(1)?
3
What is the tens digit of 4/(-10) + (-1413)/(-45)?
3
What is the tens digit of (57/(-4))/(3 + 369/(-120))?
9
What is the tens digit of (-626)/(-13) - (-2)/(-13)?
4
Let k(l) be the second derivative of -11*l**5/120 + l**4/24 - l**3/2 + 3*l. Let d(y) be the second derivative of k(y). What is the tens digit of d(-1)?
1
Let z be (-2)/(-4)*-2 + 16. Suppose -4*y = y - z. Suppose 0 = -3*x + y + 24. What is the units digit of x?
9
Let s be (-4)/(-10) + 32/(-5). Let c be 1/5 + 11/(-5). What is the units digit of (-3)/s - 1/c?
1
Let p = -264 + 450. What is the units digit of p?
6
Let k = 8 - -2. Let u = k + 6. Let s = -8 + u. What is the units digit of s?
8
Let k be (-1)/(((-1)/(-6))/1). Let q = k + 0. What is the units digit of 4/q*(-6)/4?
1
What is the units digit of (-4 - (-37)/2)*4?
8
Let j be (-50)/(-4)*24/10. Suppose j = 3*r - 3. What is the units digit of r?
1
Let p(n) = -5 + 6*n - 9*n - n**2 + 0 - 8*n. What is the tens digit of p(-9)?
1
Let a(y) = -y**3 - 18*y**2 - y - 9. What is the units digit of a(-18)?
9
What is the units digit of 23/(-6) + 4 + 35/6?
6
Suppose k + 0*p = 3*p + 21, 37 = 2*k - 5*p. What is the units digit of k - (5 + -2 - 1)?
4
Suppose -2*n = 3 - 7. What is the units digit of n?
2
Suppose -1 - 1 = -2*d. What is the tens digit of (-1)/(-2 + d)*10?
1
Let x(n) = -11 + 10*n + 3*n - 12*n. What is the units digit of x(14)?
3
Let b be 0/(1/(2/(-4))). Suppose b*a + a = 0. Suppose a*y = -2*y + 4. What is the units digit of y?
2
Let q(b) = -b**2 - 7*b + 4. Let d be q(-6). Suppose f - 2*u = -0*f - 8, f - 3*u + 10 = 0. Let r = f + d. What is the units digit of r?
6
Let o = 239 + -68. What is the tens digit of o?
7
Suppose -14 = 4*o - 0*m + m, -4*o - 5*m - 22 = 0. What is the tens digit of (-1)/(-2)*58 + o?
2
Suppose 21*w + 61 = 22*w. What is the units digit of w?
1
Let i(t) = 4*t**3 + 10*t**2 - 7*t - 10. Let a(l) = -3*l**3 - 11*l**2 + 8*l + 10. Let o(q) = -5*a(q) - 4*i(q). What is the tens digit of o(14)?
1
Suppose -2*j - 5*v - 10 = -0*v, 20 = -4*j + v. What is the units digit of (3/j)/(1/(-15))?
9
Let c(m) = m**2 + 10*m - 4. What is the units digit of c(-11)?
7
Suppose 4*d - 9 = -b, -5*d - 2*b + 8 + 1 = 0. What is the units digit of d?
3
Suppose -4*j = 5*p - 32, 2*p - 9 = -j + 2. Let v be 0*2/(-6) + p. Let q = v - -3. What is the units digit of q?
7
Let q(u) = u**2 - 4*u + 4. Suppose 3*j - 7 = 8. What is the units digit of q(j)?
9
Let n(s) = -2*s + 10. Let q(b) = 6*b - 30. Let j(o) = -7*n(o) - 2*q(o). What is the units digit of j(8)?
6
What is the hundreds digit of (21 + -25)*(2 - 254/8)?
1
Let t = -334 + 553. What is the hundreds digit of t?
2
Suppose a + 3 = -3. Let p(d) = -6*d - 5. What is the units digit of p(a)?
1
Suppose -339 = -7*m + 361. What is the units digit of m?
0
Let x be 1 + (0 + -1 - -2). What is the tens digit of (-1)/x - 54/(-4)?
1
Let l = 4 + 24. What is the units digit of l?
8
Suppose -4*j = -2*a - 1306, j + 15 - 352 = -3*a. What is the hundreds digit of j?
3
Let z(j) = -7*j - 4. Suppose -3*p + 6*x - x - 12 = 0, 2*x = -2*p - 8. What is the units digit of z(p)?
4
Let q = 34 - 4. What is the units digit of q?
0
Let m = -20 - -12. Let w(l) = l**3 + 8*l**2 + 9. What is the units digit of w(m)?
9
Let j be (-6)/(-9) + 138/9. Suppose 0 = -4*g + j, t - 2*t + 4*g - 4 = 0. What is the units digit of t?
2
What is the tens digit of 935/10 - (-1)/(-2)?
9
Let h(t) = -t**3 - t**2 + t - 1. Let w = -4 - -1. What is the tens digit of h(w)?
1
Suppose -11 = -2*b + 67. What is the tens digit of b?
3
Let r = -2 - -6. Suppose -5*q + 5 = 4*w, 0 = -2*w + r*w. What is the units digit of q?
1
Suppose -d + 29 = 2*o, -5*o = -5*d + 10 + 90. What is the tens digit of d?
2
Let a(w) = -6*w. Let k be a(-1). Suppose -k - 9 = 3*i, 5*i = -4*u - 21. What is the units digit of u*4*(-1)/(-2)?
2
Let t = 4 + -5. Suppose -4*i - 4 - 4 = 0. Let f = t - i. What is the units digit of f?
1
Let o = 4 - 3. What is the units digit of 13 + o + -2 + 0?
2
What is the tens digit of -2*(34/(-4) + -4)?
2
Let p(c) = -c**2 - c**2 + 3 - c**2 + 2*c**2. What i