units digit of s?
4
Let k(z) = 4*z**2 - 6 + z**3 + 3*z**2 - 3*z + 2*z. Let s(q) = -q**2 - q - 1. Let f be s(2). What is the units digit of k(f)?
1
Let o(p) be the third derivative of p**6/120 - p**5/15 + p**4/24 + 5*p**3/6 - p**2. Let n be (-10)/(-3)*12/10. What is the units digit of o(n)?
9
Suppose -23*o = -22*o - 15. What is the tens digit of o?
1
Suppose -41 - 3 = -4*b. What is the tens digit of b?
1
Suppose 123 = 3*l - 0*l. Suppose -2*j + 0*j + x = -17, -4*x = -5*j + l. What is the units digit of j?
9
Suppose -3*u + 20 = u. What is the units digit of u?
5
Let n be (-2)/(-6) - 4/(-6). Let y be n + (1 - 0)*8. Suppose z + 0*j - y = -j, -5*z = -3*j - 13. What is the units digit of z?
5
Let q(u) = u**3 + 7*u**2 - 10*u - 11. Let i be q(-8). Suppose -3*k + 4 = -i. Let a = 9 - k. What is the units digit of a?
6
Suppose -63*w - 1000 = -67*w. What is the tens digit of w?
5
Let f(k) = -11*k - 58. What is the tens digit of f(-21)?
7
Let p = 75 - 54. Let c = p + -8. What is the units digit of c?
3
Suppose -4*o - 2*t + 38 = 0, -2*t - 3 = o - 4*t. What is the units digit of (-20)/o*14/(-4)?
0
What is the units digit of (2 - 1) + 30 + -3?
8
Let h be 3/(-6)*1*-4. Let q(t) = -2*t + 3*t**2 - t**2 - 7*t**h + t**3 - 2*t + 4. What is the tens digit of q(6)?
1
Let d be 22/2 + (1 - 3). Let m(y) = y + 16. Let n be m(-8). Let t = d - n. What is the units digit of t?
1
Let o(g) be the second derivative of -g**4/24 + g**3/3 - 3*g**2/2 + 3*g. Let v(w) be the first derivative of o(w). What is the units digit of v(-9)?
1
Let b = -17 + 37. What is the units digit of b?
0
Suppose 5*a = -3*w - 0*a + 74, 3*a = 5*w - 146. What is the tens digit of w?
2
Let x(c) = -c**3 - 7*c**2 - 8*c - 8. Let q be x(-6). Suppose -4*g = -2*z - 36, 0 = -3*g - 2*g - q*z + 58. What is the tens digit of g?
1
Let s be ((-1)/2)/((-5)/(-220)). Let b = 39 + s. What is the units digit of b?
7
Let o be ((-2)/(-2))/(2/6). Suppose -5*g = -o*g. Suppose g*y + 4*y - 32 = 0. What is the units digit of y?
8
Suppose 0 = -4*v + m + 13, -5*v = 4*m + 10 - 0. Suppose v*i - 8 = -2. What is the units digit of i?
3
Let b be 1/2*-2 - -61. Suppose -6 = 3*o, 5*o + 18 + 8 = 4*q. What is the units digit of (b/5)/(6/q)?
8
Let n be 1*(-2 - -3)*0. Suppose -3*g + n*g = -15. What is the units digit of g?
5
Suppose -3*l + 5*n - 13 = -4*l, -20 = -4*l - 4*n. Let f = 88 + -65. Suppose -2*p = -f + l. What is the units digit of p?
0
Let v(h) = -h**3 - 7*h**2 - 7*h - 4. Let l be (-2)/(-7) + 90/(-21). Let p be v(l). Let u = -11 - p. What is the units digit of u?
3
Suppose -3*r = -3*k + 9, 6 = -r + 3*r. Let v = -1 + 3. Suppose -2*l - 10 = -v*h, -4*l - k = -h - h. What is the units digit of h?
7
Let s = 11 + -7. Suppose -s*a + 58 = 2*t, -3*t = a - t - 7. What is the tens digit of a?
1
Let a be -22 + 0/(1 - -1). Let b = 10 + a. What is the units digit of 45/(-6)*b/15?
6
Suppose 2*g - 4 = 12. Let f be 2*(-2)/g*-16. What is the units digit of (-30)/(-2) - (f + -6)?
3
Let r = 3 + 6. What is the units digit of r?
9
Let z(v) = v + 7. Let h be z(-5). Suppose 96 = h*o + 2*o. Suppose -4*g + 2*t = -o, 2*g + g = 2*t + 18. What is the units digit of g?
6
Suppose 6*r + 277 = 2*r + 5*z, 0 = -r - 3*z - 82. Let x = r - -113. What is the units digit of x?
0
Let f(l) = 4*l**2 + 3*l - 1. Let b(y) = -7*y**2 - 6*y + 2. Let h(n) = -3*b(n) - 5*f(n). What is the units digit of h(2)?
9
Let t(x) = x - 3*x - 2 + 1 + x**3 + 2*x**2. What is the tens digit of t(2)?
1
Suppose p + q = 5, 5*p - 4*q + 3*q = 19. Suppose 3*r - 157 = -p*d, 7*d + r - 199 = 2*d. What is the units digit of d?
0
Let s = 77 - 55. Let t = 36 - s. What is the units digit of t?
4
Let h(n) be the first derivative of n**4/4 - 3*n**3 + 11*n**2/2 - 9*n + 4. What is the units digit of h(8)?
5
Let v = 9 + -6. Suppose 0 = -5*p + 2*y + 6 - 3, -2*p = v*y - 5. What is the units digit of p?
1
Let v(s) be the second derivative of s**3 + s**2/2 + s. Let p = 0 + 1. What is the units digit of v(p)?
7
Let x(i) = -212 + 2*i**2 - i**3 + 6*i**2 + 221. Let p(z) = z**3 - z**2 + z + 2. Let y be p(2). What is the units digit of x(y)?
9
Let b(l) = 22*l + 21. What is the units digit of b(6)?
3
Let r = 358 - 242. What is the units digit of r?
6
Suppose -3*r + 95 = -4*f, f + 2*f - 160 = -4*r. What is the tens digit of r?
3
Let c be (-2 - -1 - -3) + 0. Suppose -4*d = c*k - k - 28, 0 = d + 5*k - 7. What is the units digit of d?
7
Let j(g) = -g**3 - g**2 - g + 2. Let p be j(0). Let o(l) = -1 - 7*l**2 - p*l**3 - 5*l + l**3 + 8. What is the units digit of o(-6)?
1
Let b(j) = -2*j**3 - 3*j**2 - 3*j - 2. What is the units digit of b(-2)?
8
Let s(p) = 25*p**2 + 3*p + 4. What is the units digit of s(-3)?
0
Let b(i) be the second derivative of -4*i - 1/6*i**3 + 0 + 3*i**2. What is the units digit of b(5)?
1
Let u = -94 + 191. What is the tens digit of u?
9
Let b = 24 - -31. What is the tens digit of b?
5
Let h(t) = t**2 + 7*t + 4. Let m be h(-7). Suppose 5*v - 2 = 3. Let j = m - v. What is the units digit of j?
3
Let x = 4 + -6. Let k be (-1)/((-2)/(-4))*x. Suppose 2*y + n = 5*n + 24, k*n + 16 = 0. What is the units digit of y?
4
Suppose 4*r = 4*y + 16, y + 0 = -3*r + 16. Suppose r*u - 4*j = 46, 0 = j - 3*j - 8. What is the units digit of u?
6
Let v(r) = 7*r**2 - 7*r + 8. Suppose -3*l = -3, 3*l = a + 15 - 1. Let y(g) = 13*g**2 - 13*g + 15. Let x(k) = a*v(k) + 6*y(k). What is the units digit of x(0)?
2
Suppose -3*n = 5*o - 20, 0 = -o - 2*n + 5 - 1. Suppose -4*m - 14 = -5*d, -o*d - m - m = -6. What is the units digit of d?
2
Let d = 21 + -3. Let o = -10 + d. What is the units digit of o?
8
Let l(h) = h**3 - 6*h**2 - 8*h + 3. Let w be l(7). Let z be (10/3)/(w/(-6)). Let i = 0 + z. What is the units digit of i?
5
Suppose -p + 0*p - 5*u = 52, -u - 77 = 2*p. What is the units digit of -2*(-3 - p/(-2))?
3
What is the units digit of (-2)/14 - (-6280)/56?
2
Let i(z) = -19*z + 3. What is the units digit of i(-4)?
9
Let p(u) be the third derivative of 0*u + 0*u**3 - 7/24*u**4 - 1/60*u**5 - 2*u**2 + 0. What is the units digit of p(-6)?
6
Suppose 7*v - 3*v = 0. Suppose 5*y - 25 = -v*y. What is the units digit of y?
5
Let i(g) = -13*g. Let r be i(1). Let q(c) = c**2 + 12*c + 5. Let f be q(-13). Let n = r + f. What is the units digit of n?
5
What is the units digit of (-260 - 0/1)/(-3 - -2)?
0
Let i be 6/(-9) + (-8)/(-3). Suppose -2*h + 12 = i*h. What is the units digit of 18/(h + (-2)/1)?
8
Let u(h) = h**2 - 7*h. Suppose p = 2*q - 3, 2 = 3*p - 4*q + 3. Let m be u(p). What is the units digit of (-2)/(-1 - -5)*m?
5
Let j(k) = 12*k - 11. What is the units digit of j(15)?
9
Let b = 744 + -518. What is the tens digit of b?
2
Let o(w) = -w**3 - 2*w**2 + w - 6. Let r be o(-5). Suppose v = 5*v - r. What is the tens digit of v?
1
Let l(y) = -3*y**3 + 5*y**2 - 5. Let k(x) = -x**3 + 2*x**2 - 2. Let m(a) = -5*k(a) + 2*l(a). Let p be m(1). Let d = p + 4. What is the units digit of d?
3
Let a = 3 + 1. Suppose -3*k + 37 = -a*c + 13, 5*c - 2*k + 30 = 0. What is the units digit of 6*(-15)/c - 1?
4
Let h be (3/5)/((-2)/(-10)). Suppose s - 4*j = 27, 0 = -0*s + h*s + 4*j - 17. What is the tens digit of s?
1
Suppose 5*v + 1 = -4*l - 0, 0 = -2*l - 3*v - 1. What is the units digit of l?
1
Let r(i) = 45*i - 8. What is the tens digit of r(3)?
2
Let r = 73 + -49. What is the tens digit of r?
2
Let f = 40 + -25. What is the units digit of f?
5
Suppose 9*t + 2*t - 330 = 0. What is the units digit of t?
0
Suppose -8*a + 28 = -4*a. Suppose 0 = a*n - 10*n + 81. What is the units digit of n?
7
Let j(b) = -b**3 + 4*b**2 - 9*b + 4. Let a(w) = -2*w**3 + 9*w**2 - 18*w + 8. Let v(h) = -3*a(h) + 5*j(h). What is the tens digit of v(6)?
1
What is the units digit of 129/5 + 5/25?
6
Suppose -5*g = -3*j + 682, 2*j - 456 = 3*g - g. What is the hundreds digit of j?
2
Let y(c) = -2*c**2 - 29*c - 5. What is the units digit of y(-13)?
4
Let x(w) = 3*w**3 + w**2 + 4. Let v(r) = 6*r**3 + r**2 + 7. Let t(y) = 3*v(y) - 5*x(y). Let p be t(-1). What is the units digit of (-6)/p*(10 + -2)?
2
Suppose 4*w = 5*t + 42, -5*t + 4*t = w + 12. Suppose 0 = 5*m + 16 + 44. Let l = t - m. What is the units digit of l?
2
Let p(a) = a - 2. Let k be p(4). Suppose -3*w - 3*u - 7 - k = 0, -2*u - 20 = -5*w. Suppose -2 = -x + w. What is the units digit of x?
4
Let n be (-2)/3 - 11/(-3). Suppose 4*w + 21 = -5*s, n*s