uppose p + q = 6*p. What is the units digit of p?
1
Let z = 4 + -6. Let b = 9 + z. What is the units digit of b?
7
What is the units digit of (-2)/6 - 25/(-3)?
8
Let i(t) = -7*t**2 - 2. Let b be i(3). Let l be b/(-9) - (-6)/(-27). Suppose 0 = -3*a - 1 + l. What is the units digit of a?
2
Let v be 1/(2*(-2)/(-48)). Let h = 24 - v. Suppose -4*f = -5*n - 34, 3*f + 3*n + 0*n - h = 0. What is the units digit of f?
6
What is the tens digit of 0/3 + 238/7?
3
Let q(p) = -p**3 - 4*p**2 - 3*p - 2. Let h be q(-3). Let z = h + 2. Let t = 10 - z. What is the units digit of t?
0
Let b = -14 - -17. What is the units digit of b?
3
Suppose 0 = 5*s - 7*s + 76. What is the tens digit of s?
3
Suppose -4*o + 0*o + 16 = -3*g, 0 = 3*o - g - 12. Suppose 0 = 5*c + 5*x, -3*c = -2*c - o*x - 15. What is the tens digit of (-3)/c*(-12 - 1)?
1
Let l(u) be the third derivative of u**5/60 + u**4/8 + 2*u**3/3 + 2*u**2. What is the units digit of l(-4)?
8
Let z(b) = -2*b**2 - 5*b - 5. Let w(u) = u**2. Let h(k) = -w(k) - z(k). What is the units digit of h(-4)?
1
Let u(a) = a**2 + 4*a + 12. Let y be u(-6). What is the units digit of ((-1)/3)/((-2)/y)?
4
Let j = 99 - 96. What is the units digit of j?
3
Let d(l) = l**3 - 8*l**2 + l + 1. What is the units digit of d(8)?
9
Let y = 53 - 41. What is the tens digit of y?
1
Let n(s) = -13*s + 32. What is the units digit of n(-4)?
4
Let a = 19 - 18. What is the units digit of a?
1
Suppose 2*c = c + 42. Suppose x - 5*y = -2, x - y = 4*x - c. What is the units digit of x?
3
Suppose r - 6*r + 245 = 0. What is the units digit of r?
9
Let u = 3 + -4. Let f(n) = -2*n + 1. What is the units digit of f(u)?
3
Suppose -444 - 798 = -18*g. What is the units digit of g?
9
Suppose 4 = 2*h - 2. Suppose -h*a + 0*w + 14 = w, -3*w = -5*a. Suppose 2*y - 18 = -2*q, 7*y - 39 = a*y - q. What is the tens digit of y?
1
Suppose -14*d = -13*d - 37. What is the tens digit of d?
3
Suppose -27 = -6*q + 483. What is the units digit of q?
5
Suppose h - 957 = -10*h. What is the tens digit of h?
8
Let k(o) be the second derivative of o**5/20 - o**4 + 7*o**3/3 + 13*o**2/2 - 2*o. What is the tens digit of k(11)?
4
Suppose 477 = 3*q + 2*i + i, 5*q - 795 = -4*i. What is the units digit of q?
9
Suppose 0 = -2*t + 5*t + 3, 4*t + 154 = 5*c. What is the units digit of ((-22)/11)/((-4)/c)?
5
Let x = -3 + 8. Suppose -2*j = -x*j + 3. What is the units digit of (j/4)/(2/8)?
1
Let k(i) = 23*i**2 + 5*i**2 + 13*i**2. What is the units digit of k(-1)?
1
Suppose -2*r + 4*r - 28 = 0. Let q = r + -1. What is the units digit of q?
3
Suppose 3*a - 15 = -2*p - 0*a, 0 = p + 3*a. Let v(k) = k. What is the units digit of v(p)?
5
Suppose 4*g + 5*f + 8 = -13, -5*g = 5*f + 20. Let r be (0 - -19*g) + -2. Suppose w + 5*o + 12 = -2*w, -5*o = -2*w + r. What is the units digit of w?
1
Let v(p) = -p**3 + 2*p**2 + 2*p + 1. Let q be v(-1). Let i(o) = 0*o - o**2 + 3*o**3 - 3*o**2 + 2*o**2 - o + 1. What is the tens digit of i(q)?
1
Let a = -17 - -24. Suppose 3*v + a = -b - 3*b, -v + 7 = -b. What is the units digit of (-4 - -9) + b/2?
3
Let w(m) = -7*m + 3 + 4 + 1 + m**3 + 7*m**2. Let x be w(-8). What is the units digit of 9 + (3 - (x + 0))?
2
Let a = 167 + 118. What is the units digit of a?
5
Let z = -162 + 78. Let q be z/5*40/12. What is the tens digit of 3/(-2)*q/6?
1
Suppose -4*p + 7*p - 51 = -3*d, d = -5*p + 13. What is the units digit of d?
8
Suppose 3*h + 3*z - 18 = 0, 0*h - 2*z + 3 = h. Let j = 16 - h. What is the units digit of j?
7
Suppose 0 = -0*u - u - 7. Let p(x) = -x**3 - 6*x**2 + 8*x + 1. Let c be p(u). Let q = c - -11. What is the units digit of q?
5
What is the tens digit of (3*6)/(5/10)?
3
Let r = 8 + -6. Suppose 3*d + 10 = 4*q + 72, -r*d + 4*q + 48 = 0. What is the units digit of d?
4
Suppose -4*y - 5 = -29. What is the units digit of (-20)/(-6) - (-4)/y?
4
Let w be ((-30)/(-9))/((-10)/(-45)). Suppose -17*c + 12 = -w*c. What is the units digit of c?
6
Let c(w) = w + 1. Let l be c(-2). Let u be (-5 + 4)/(0 - l). Let y(m) = -17*m**3. What is the units digit of y(u)?
7
Let w(t) = -t**3 - 12*t**2 + 9*t + 19. What is the units digit of w(-13)?
1
Let g(o) = o**2 + 9*o + 8. Let i be g(-7). Let j = i + 39. What is the units digit of j?
3
Let k be 12/(-8)*2*1. Let x = -31 - -22. What is the units digit of x/(-2) + k/(-6)?
5
Let a(o) = 50*o - 64. What is the units digit of a(10)?
6
Suppose -t + 0 + 2 = 0. Let r(k) = 3 + t*k**2 + 2 + 0 - 6. What is the units digit of r(-1)?
1
Suppose -6 = -3*i - 0. Let s(p) = -6*p**2 + 7*p + 6. Let z(k) = 7*k**2 - 8*k - 7. Let l(o) = 6*s(o) + 5*z(o). What is the units digit of l(i)?
1
Let f(x) = -x**3 + 13*x**2 + 3. What is the units digit of f(13)?
3
Let l(y) = 0 - 2*y + 5 - 72*y**2 + 73*y**2. What is the units digit of l(3)?
8
Let u be (-28)/(-12) + (-1)/3. Let z(m) = m + m**2 - m**2 + m**u - m**3. What is the units digit of z(-1)?
1
Let i = 336 + -217. What is the units digit of i?
9
Suppose -5*q = -8*q - 117. Let v = -28 - q. What is the tens digit of v?
1
Suppose -c + 45 = 4*c. What is the units digit of c?
9
Let g(k) = -k**3 - k**2 - k - 1. Suppose -3*f - 2*b - 50 = 0, 3*f - 4*b = f - 44. Let t be ((-3)/9)/((-3)/f). What is the units digit of g(t)?
5
Suppose 3*x = -3*p + 126, -4*x = -4*p + 84 + 76. What is the units digit of p?
1
Suppose -2*i = -5*i + 141. What is the units digit of i?
7
Suppose 2*h = -0*h + 8. Let k = -11 - -8. Let r = h + k. What is the units digit of r?
1
Let y(m) = m**3 - 9*m**2 + 3*m. Let u be y(8). Let p = -7 - u. Suppose -o - p = -4*o. What is the tens digit of o?
1
Let s = 219 - 130. What is the units digit of s?
9
Let x = 649 - 432. What is the hundreds digit of x?
2
Let x(o) = o - 2. Let m be x(5). Suppose 4*i + m = -5*q, 4*q + 18 = 2*i - 0*q. Suppose i*r = -5 + 71. What is the tens digit of r?
2
Let b be (-6)/(-4)*10/(-5). Let k be (b - -4)/(2/(-14)). Let w = -4 - k. What is the units digit of w?
3
Suppose -3*v + 0*v = -3*i + 24, -2*i = 5*v + 5. Let b = i - 0. Suppose -3*y = -6, -u + 1 + b = -3*y. What is the units digit of u?
2
Let q be ((-25)/20)/((-1)/4). Suppose 2*u = q*g + 20, -3*u + 53 = -0*u + 4*g. Suppose -2*y + 5*y - u = 0. What is the units digit of y?
5
Suppose -w + 5*w - 8 = 0. Let a(l) = -3*l - w*l**2 - 3*l**2 + 7*l**2 - 1. What is the units digit of a(3)?
8
Suppose 4*q - 114 = q. Suppose 3*p = 5*p - q. What is the tens digit of p?
1
Suppose -5*h + 2*b + 30 = 7*b, -3*h + 5*b = -10. Suppose -h*d - z + 19 = 0, d + 0*d + 13 = 4*z. What is the units digit of d?
3
Suppose 2*b + 3*g = 229, -4*b - 5*g + 152 + 303 = 0. What is the tens digit of b?
1
Let x(b) = -b**2 - 8*b - 5. What is the units digit of x(-5)?
0
Let j = -229 - -396. What is the units digit of j?
7
Let w(m) = -m**3 - m**2. Let p be w(3). What is the units digit of (-2 + 1)*(p - -6)?
0
Let l = -193 - -356. What is the hundreds digit of l?
1
Suppose 0*x - 2*x + 8 = 0. Let h be x + -1 + (-4)/(-2). Let m = -1 + h. What is the units digit of m?
4
Suppose 16*d + 2822 = 7334. What is the units digit of d?
2
Let m = 274 + -163. What is the tens digit of m?
1
Suppose -7*u + 4*u = 96. Let p = -20 - u. What is the units digit of p?
2
Let t be 10/(-20) - 126/(-4). Let q = t - 17. What is the units digit of q?
4
Suppose 206 = 3*l - u, -2*u = 4*l + 2*u - 248. What is the tens digit of l?
6
Let i(x) = x**3 - 3*x**2 - 4*x + 3. Let n be i(4). Let o = 0 + n. What is the units digit of o?
3
Let d be 5 - 2 - (0 - 3). Let n(v) = v**2 - 5*v - 4. What is the units digit of n(d)?
2
Let f(s) = -15*s - 2. Let h be f(-2). Let v be (3/(-2))/((-6)/h). Suppose 3*z = v - 1. What is the units digit of z?
2
Suppose -3*c - 1 = -4*y + 4, -4*y + 13 = 5*c. Let r = 18 - 14. Suppose r*z = 5*j - 6 - c, z = 3*j - 7. What is the units digit of j?
3
Let z = -30 - -51. What is the units digit of z?
1
Suppose p + d + 9 = 0, 8 = -p - 3*d - 9. Let y = 1 + p. What is the units digit of 2/y*(-25 - 5)?
5
Suppose 0 = -4*j + 2*j - 62. What is the tens digit of j/(-2) - 7/14?
1
Let z be ((-3)/2)/((-6)/(-8)). Let t(h) = 2*h**2. Let f be t(z). Suppose f = u + u. What is the units digit of u?
4
Suppose 2*g + 580 = 7*g. Suppose -2*j = -5*o - 0*j - 136, 4*o + 2*j = -g. What is the units digit of 1/((-58)/o - 2)?
4
Let k(j) = -j**3 - 2*j**2 - j. Let s be k(-2). Let u be (4/(-1*s))/(-1). Suppose -5*n = -u*h + 2, h + n