
Let p(b) = 19*b**3 - 4*b**2 + 11*b - 9. Let j(k) = -9*k**3 + 2*k**2 - 6*k + 5. Let x(c) = 7*j(c) + 4*p(c). What is the units digit of x(1)?
2
Suppose -3*z - 5*n = -66, -3*z - 4*n + 15 = -48. What is the units digit of z?
7
Suppose -c - 43 = -2*c. What is the units digit of c?
3
Let x(w) = w - 3. Suppose 3*r - 7*r = 0. Let p be x(r). What is the tens digit of (2/p)/((-2)/33)?
1
Let a(q) = 2*q**2 - q - 4. Let l be a(-7). Suppose -2*j = -r + 38, 4*r = -5*j + l + 12. What is the tens digit of r?
3
Let j be 2/(0 + 8)*12. Let t be (1 - 0) + 9/j. What is the units digit of -7*t/(-6)*3?
4
Let h(m) be the second derivative of -m**3/6 + 3*m**2 + 2*m. Let a be h(9). What is the units digit of 0*(-1)/a + 5?
5
What is the units digit of ((654/8)/(-3))/(1/(-4))?
9
Suppose -2*j + 12 = -2*u + 40, -3*u + 4*j = -38. What is the tens digit of u?
1
Let j(l) = -l + 4. Let f be j(-6). Let g = 15 - f. What is the units digit of g?
5
Let s be (2/5)/(6/30). Let q be (-1 + 6)/1 - s. Suppose -3*d - q*w + 4*w + 19 = 0, -4*d - w + 30 = 0. What is the units digit of d?
7
Suppose 3*f - 120 = 3*k + k, f = 4*k + 32. What is the units digit of f?
4
Let t(d) = -d + 20. What is the units digit of t(-6)?
6
Suppose -5*x + a + 273 = 0, 5*a - 175 = x - 4*x. Suppose -4*t = -x - 1. What is the tens digit of t?
1
Let r(i) = -10*i - 1. Let l be r(1). Let y be (1/3)/((-1)/15). Let w = y - l. What is the units digit of w?
6
Let x = -22 + 12. What is the units digit of (-25)/x*(-16)/(-5)?
8
Suppose 2*y + 6 = -0*y. Let q = 6 + y. Suppose -15 = -q*n - 0. What is the units digit of n?
5
Suppose 23 = 4*m + 79. What is the units digit of ((-14)/(-3))/(m/(-21))?
7
Let r = 2 - 0. Suppose -r*z = 2*z. Suppose -5*u + 3*u + 10 = z. What is the units digit of u?
5
Let h(d) = 201*d - 3. What is the units digit of h(1)?
8
Let z = 79 + -27. What is the tens digit of z?
5
Suppose 0 = -5*u - 5*k + 85, 5*u - 88 + 23 = -k. What is the tens digit of u?
1
Suppose x - 16 = 2*x + 5*z, -z - 2 = 0. Let g be x/(-5)*20/6. Suppose -g*y + 0*y + 19 = -3*d, 5*d = -2*y + 3. What is the units digit of y?
4
Suppose 4*g = 5*z + 198, 0 = -g + 3*z + 33 + 13. Let y(a) = a**3 - 14*a**2 + 12*a + 18. Let o be y(13). Suppose o*t - 18 = g. What is the units digit of t?
4
Let c(v) be the first derivative of 5*v**3/3 + v**2/2 - v + 2. Let h be c(1). Suppose 6*r - r = -2*k + 31, -5*k + 25 = -h*r. What is the units digit of k?
8
Let z = -8 + 66. Suppose 0 = 4*v - 3*n + z, -5*v + 3*v + 3*n - 32 = 0. What is the units digit of 0 + -3 - (v + 2)?
8
Let g = -5 + 7. Suppose -5 = -g*n + 19. What is the tens digit of n?
1
Let q(r) = r**2 - 4*r - 8. Let n be q(6). Let x(b) = 3*b + 24. Let t be x(-7). Suppose 3*u - 20 = 2*u + t*s, 0 = n*u - s - 47. What is the tens digit of u?
1
Let x(t) = -t**2 + 2*t + 32. What is the tens digit of x(0)?
3
Let r be 42/(-4) - (-1)/2. Let c(k) be the third derivative of -k**4/24 - 3*k**3/2 - 3*k**2. What is the units digit of c(r)?
1
Suppose -3*z + 31 = -50. What is the units digit of z?
7
Suppose -99 = -5*c - 39. Let m = -2 + c. What is the units digit of m?
0
Let a(x) = x - 2. Let h be a(7). Suppose -s = 5*n - 69, h*s - 7 - 26 = -n. What is the tens digit of n?
1
Let t(q) = 14*q**2 - 7*q. What is the units digit of t(4)?
6
Let a(f) = 4*f - 9. Let m be a(7). Suppose 127 = 4*t + m. What is the units digit of t?
7
Let l(a) = -a - 1. Let s be l(-5). Suppose -s*b = -39 + 3. What is the units digit of b?
9
Let v = 44 + -2. Let q = v - 19. What is the units digit of q?
3
Let u be (4 - 1)*(8 + -7). What is the units digit of ((-12)/8)/(u/(-16))?
8
Let o(x) = -x**3 + 7*x**2 - 6*x - 3. Let b(t) = 2 + 0*t - 1 + 2*t - 2. Let d be b(3). What is the units digit of o(d)?
7
Suppose -4*u + 304 + 92 = 0. What is the units digit of u?
9
Let s(n) be the second derivative of -1/6*n**3 + 3*n + 0 - 3/2*n**2 + 1/12*n**4. What is the units digit of s(3)?
3
Let i(r) = 49*r + 1. Let x be i(1). Let d be (5 - 2) + (-1 - 2). Suppose 4*j - f + 0*f - 40 = 0, d = -5*j + 4*f + x. What is the units digit of j?
0
Let w = -15 + 28. What is the units digit of w?
3
Let h(b) = b**2 + 6*b + 11. What is the units digit of h(-5)?
6
Suppose 6*r + 36 = 2*r. Let c = -31 - -46. Let j = r + c. What is the units digit of j?
6
Let s be (-1)/(-4)*-1*-20. Suppose -s*c + c = -20. What is the units digit of c?
5
Suppose 1 + 1 = -2*n. Let r = 3 - n. Suppose 3 = -r*o + 63. What is the units digit of o?
5
Let i(y) = -y - 4. Let j be i(-8). Let z(v) = v + 1. Let q be z(j). Let u = q - 2. What is the units digit of u?
3
Let a(z) = -63*z**3 - z**2 + 5*z + 7. What is the units digit of a(-1)?
4
Suppose -5*q - 10 - 4 = 3*r, 3*r - 3*q - 18 = 0. Suppose 0*f = 4*s - f - 70, r*s - 2*f = 32. What is the tens digit of s?
1
Let s(k) = k**3 - k**2 + 10. What is the units digit of s(0)?
0
Suppose 2*x - 5 + 1 = 0. Suppose -2*p + x*n = -2, p + 3*n = n + 13. What is the units digit of p?
5
Let u(v) = 19*v - 14. What is the hundreds digit of u(7)?
1
Suppose 14*i + 200 = 16*i. What is the tens digit of i?
0
Suppose 4*h = 3*w + 2*w + 20, 4*h - 2*w - 20 = 0. Suppose x = -4*f - 0*f + 43, h*f + 2*x - 56 = 0. What is the tens digit of f?
1
Let c = -6 + 1. What is the units digit of 468/45 - (-2)/c?
0
Let u = -7 + 1. Let o(h) = h**3 - 5*h**2 + 2*h - 4. Let k be o(5). What is the units digit of k/2 - (u + -7)?
6
Suppose -2*s = 10, 9*x + 2*s - 120 = 4*x. What is the tens digit of x?
2
Let r be (4/5)/((-2)/(-10)). Suppose 16 = 4*c - 7*c + r*y, -2*c - 12 = -4*y. What is the units digit of (-32)/(-14) + c/14?
2
Suppose 0 = -4*w - w + 10. Suppose -w*y + 36 = -y. What is the units digit of y?
6
Suppose 0 = -o + 4*o + q - 90, 4*q = 0. What is the units digit of o?
0
Let c = -26 + 12. Suppose 5*j - 6*x + 4*x + 44 = 0, -x + 27 = -3*j. Let k = j - c. What is the units digit of k?
4
Let u(s) = 2*s**3 + 2*s**2 + 9*s - 45. Let z(l) = -l**3 - l**2 - 5*l + 23. Let m(a) = -4*u(a) - 7*z(a). What is the units digit of m(0)?
9
Let g = -10 + 38. What is the tens digit of g?
2
Let d = 88 + -63. Let p = d - 16. What is the units digit of p?
9
Let v(q) be the second derivative of -q**5/10 + q**3/6 - q**2 + 2*q. What is the tens digit of v(-2)?
1
Suppose 2*f + 6 - 50 = 0. What is the units digit of f?
2
Suppose 2*i - 6 = 30. What is the units digit of i?
8
Let d(a) = a**3 + 2*a**2 - 5*a - 2. Let z be d(-3). Suppose 5*b - 74 = z*l, 2*b - 28 = -5*l + 28. What is the tens digit of b?
1
Let w(z) = z**2 - z + 7. Let j be w(0). Let r = 6 + j. What is the tens digit of r?
1
Let a be 1 - -1 - (5 + -5). Suppose -3*y + 50 = 4*x, a*y + 45 = 5*y + 3*x. What is the units digit of y?
0
Let y(r) = r**3 + 8*r**2 - 12*r - 3. Let s be 55/(-6) + (-4)/(-24). What is the units digit of y(s)?
4
Let l(c) = c**3 + 8*c**2 - 9*c + 4. Let j = 12 - 21. What is the units digit of l(j)?
4
Suppose 3*v - w - 11 = 0, -2*v + 2*w + 5 + 1 = 0. Let u(n) = -n - 4. Let m be u(-7). What is the units digit of v/(-6)*(-9 + m)?
4
Suppose 0 = -3*x - 15, 6*w + 45 = 2*w + 3*x. Let s be 36/(-2)*10/w. Suppose -32 + s = -2*p. What is the tens digit of p?
1
Let a = 14 + -11. Suppose 7*g - 180 = a*g. What is the tens digit of g?
4
Let f be -1*(-9 + -1 + 2). Suppose -f = -2*s + 18. What is the tens digit of s?
1
Let z(t) = 8*t**3 - 2*t**2 - 1. What is the units digit of z(2)?
5
Let b be 14*2/4 - -3. Let a(i) = -i**3 + 10*i**2 + 2*i - 15. What is the units digit of a(b)?
5
Suppose 24 - 7 = 4*a - m, a - 4*m - 23 = 0. What is the units digit of a?
3
Let f(y) = -y**2 + 8*y - 9. Let v be f(6). Suppose 55 = 2*r + v*r. What is the tens digit of r?
1
Let j = 9 - 2. Let s = -5 - -5. Let n = j - s. What is the units digit of n?
7
Let l be (-6)/(-15) - (-73)/5. What is the units digit of 1/5 + 117/l?
8
Let p = 8 - 8. Suppose p = 2*t - 3*t + 5. What is the units digit of t?
5
Let j(v) = -7*v**2 - 4*v - 10. Let p(h) = -13*h**2 - 9*h - 19. Let n(f) = -11*j(f) + 6*p(f). What is the units digit of n(-9)?
5
Let f = -5 - -10. What is the units digit of f?
5
Suppose 8*s - 46 = 6*s. What is the tens digit of s?
2
Let y(c) = -c + 5. Let v be y(3). Let l be -4*(3*v)/1. What is the units digit of (l/10)/(6/(-20))?
8
Let x(n) = -3*n. What is the units digit of x(-1)?
3
Let x(v) = -v + 9. Let u(y) = y**3 + 8*y**2 - 11*y - 10. Let b be u(-9). What is the units digit of x(b)?
1
Let w = 5