4/8 + j**3/6 - j. Let p(w) be the second derivative of b(w). What is the units digit of p(8)?
1
Suppose 0 = -4*o + w + 3*w + 160, -3*w + 132 = 4*o. What is the tens digit of o?
3
Suppose 0*g - 3*g + o + 29 = 0, 0 = 3*g + 5*o - 17. What is the units digit of g?
9
Let u(a) = -2*a - 4. Let h be u(-3). Let y be (-43)/(-3) - 1/3. Suppose y = h*k - k. What is the tens digit of k?
1
Let p = 0 + -4. What is the units digit of (p/(-10))/((-1)/(-10))?
4
Let t(l) = 7 + 3*l - 3 + 1. What is the tens digit of t(6)?
2
Suppose -5*v = -3*j + 26 - 10, 3*j - 4*v - 14 = 0. Suppose -3 = -j*p + 3. Suppose -6 = -c - 2*d, -4*d + d = -p. What is the units digit of c?
4
Suppose -4*q + 0*a - 2*a + 6 = 0, 2*a = 2*q. What is the units digit of 318/15 - q/5?
1
Suppose 0 = -c - 4*d + 123, 0*c + 5*c + 4*d - 583 = 0. Suppose 4*w = -w + c. What is the tens digit of w?
2
Let h(r) = -3*r**3 - 2*r**2 + 3*r + 3. Suppose 15 = -q - 4*y - 7, 5*y = -5*q - 35. What is the tens digit of h(q)?
1
Let q(z) = -z**2 + z + 24. Let u be q(0). Suppose 0 = 4*d - 4*i - u, -4*d + 2*i = -11 - 7. What is the units digit of d?
3
Let x(m) = m**3 + m**2 - 10*m + 7. What is the hundreds digit of x(6)?
1
Let t be (8/(-12))/((-4)/(-6)). Let c be (1/1)/t*-2. What is the units digit of (-5 - 1)/(c + -4)?
3
Suppose 5 = -0*s + 5*s. Suppose 5*b - 5*i - 10 = 0, 5*b - 11 = -i - s. Suppose b*y = -0*y + 22. What is the tens digit of y?
1
Suppose 3*c = -0*c - 36. Let r be 40/c*(-6)/5. Suppose r*w = 33 - 13. What is the units digit of w?
5
Let v = 3 - 5. Let n = 7 + v. Suppose h - 3*b + 56 = 5*h, n*b - 14 = -2*h. What is the tens digit of h?
1
Let r be 43 - (-4 - (1 - 1)). Suppose -4*a + 69 = -r. What is the tens digit of a?
2
What is the units digit of 834/15 + 2/5?
6
Let v be -34*2*(-3 - (-5)/2). Let d be (-1 + 5)*(-2)/(-4). Suppose -5*s + d*s = -5*l + 34, -4*l + v = s. What is the units digit of l?
8
Suppose 0 = -o + 3 - 1. Suppose -o - 3 = -5*s. What is the units digit of s?
1
Let k = 17 - 11. What is the tens digit of (k/(-5))/(1/(-30))?
3
Suppose -14 = -4*o + 26. What is the units digit of o?
0
Let p(v) = -v + 10. Let a be p(6). Let g be 3/12*0 - -3. Let j = a - g. What is the units digit of j?
1
Suppose -29 + 4 = -5*s. Let o(f) = f + 2. Let c be o(2). Suppose -v + 0*t = -s*t - 3, c*v + t - 12 = 0. What is the units digit of v?
3
Let y = 102 + -47. What is the tens digit of y?
5
Suppose -386 = -4*h + 66. What is the tens digit of h?
1
Suppose -42 = -7*a + 5*a. Suppose -21 = -3*w + a. What is the tens digit of w?
1
Let m = -541 - -840. What is the hundreds digit of m?
2
Suppose 0 + 5 = -l, -3*x + 660 = -3*l. What is the units digit of x?
5
Suppose 0 = -3*q - 4*m + 29, m - 43 = -4*q - 0*m. What is the tens digit of q?
1
Let z(h) = -h**2 - 3*h + 2. Let u(c) = -c**3 + 8*c**2 - 8*c + 4. Let y(o) = 2*o + 1. Let t be y(3). Let d be u(t). What is the units digit of z(d)?
2
Let h = -269 - -409. What is the tens digit of h?
4
Let x(p) = -p**2 + 3*p. Let n be x(3). Suppose n = 4*r - 3*r + 3. Let w = -2 - r. What is the units digit of w?
1
Let o = 22 + -15. Suppose 0 = 4*d - 3*d + o. Let h(w) = -w - 1. What is the units digit of h(d)?
6
Suppose 3*c - 8 = -c. Suppose -19 = -c*g - 5. Let f(k) = -k**3 + 8*k**2 - 8*k + 10. What is the units digit of f(g)?
3
Let r(k) = -k**2 + 7*k - 4. Let a be -3*(1 + 24/(-9)). What is the units digit of r(a)?
6
Let o(f) = -f + 1. Let z be o(1). Let p(g) = -g**3 + g**2 - g + 1. Let s be p(z). Suppose -s + 4 = y. What is the units digit of y?
3
Suppose 2*c - 4*j = c - 6, 0 = -c - 3*j + 8. Let g(n) = n**3 + 5*n**2 - 6*n - 4. Let u be g(-5). Suppose 0*o = -c*o + u. What is the tens digit of o?
1
Let l(r) = 3*r - 9. Suppose 3 - 31 = -4*f. Let v be l(f). What is the units digit of 3/(-2)*v/(-18)?
1
Suppose -6 = -5*n + 2*n. Suppose -2*o - n*o = -44. What is the units digit of o?
1
What is the units digit of (1056/60)/(1/5)?
8
Suppose -3*z = 2*w + w - 189, -47 = -z + 3*w. What is the tens digit of z?
5
Let b(r) = -41*r**3 + r**2 + r + 1. Let k be b(-1). Suppose 2*v + 72 = 5*v. What is the units digit of (8/v)/(2/k)?
7
Let v = 14 + -12. Suppose -v*a + 4*a + 61 = 5*t, 2*t = 3*a + 31. What is the tens digit of t?
1
Let u be 0 - (-4)/((-8)/(-6)). Suppose -u*l + 8 = 2. What is the units digit of -2 - (-2)/l*12?
0
Let t(d) be the second derivative of 2*d**3/3 + d**2/2 - 2*d. Suppose 2*o + 3*p = 23, p - 5*p + 16 = -o. What is the units digit of t(o)?
7
Suppose 0 = -a - 4*a. Let g be (-9 - (-4 + 1))/(3/(-2)). What is the units digit of (-1)/((-2)/g - a)?
2
Let y be 6/30 - (-72)/(-10). Let o(t) be the second derivative of t**4/12 + 5*t**3/6 - 4*t**2 - t. What is the units digit of o(y)?
6
Let r be (-16)/56 + 74/14. Suppose -r = i - 12. What is the units digit of i?
7
What is the units digit of 8010/40 + 2 - (-1)/(-4)?
2
Let j(i) = -8*i**2 - i**3 + 6*i + 2*i**2 - 1 + 0*i**3. Let s(o) = 8*o**3 + 2*o**2 + o. Let u be s(-1). What is the units digit of j(u)?
6
Suppose -25 = 3*u + 23. Let d = -3 - u. Let j = d - 7. What is the units digit of j?
6
Let s(r) = 6*r - 8. Let c be s(6). Let k(z) = z**3 + 3*z**2 - 2. Let w be k(-2). Suppose w*h - c + 8 = -3*a, h - 5*a = -3. What is the units digit of h?
7
Let s(z) = 9*z**2 + 1 - z**2 - 2*z**2 - z. Let k be s(1). Let d = 11 - k. What is the units digit of d?
5
Suppose -117 = 5*h + 4*h. Let j = 24 - 6. Let o = h + j. What is the units digit of o?
5
Let k be 39 - (0 + -2 + 2). Let w = k + -22. What is the tens digit of w?
1
Let m be ((-18)/(-27))/(4/210). Let d = m - 19. What is the tens digit of d?
1
Let a = 2 - -1. Let q(z) = -z**2 + 5*z + 4. What is the tens digit of q(a)?
1
Suppose -2*c + 5*p - 35 = 2*c, 0 = -3*c - 3*p - 33. What is the units digit of 18/45 + (-206)/c?
1
Let l(p) be the first derivative of -7*p**2/2 - 11*p - 7. What is the tens digit of l(-8)?
4
Let z(b) = -2*b**2 + 10*b - 7. Let v(o) = 3*o**2 - 11*o + 7. Let y = -4 - -8. Let g(k) = y*z(k) + 3*v(k). What is the units digit of g(-8)?
1
Suppose 105 = 2*q + q. What is the units digit of q?
5
Let z be (1/2)/(2/4). Let x = z - -2. Let s = 1 + x. What is the units digit of s?
4
Let l(i) = 2*i - 7. Let c(y) = 5*y**2 - y + 2. Let g(b) = 9*b**2 - 2*b + 3. Let q(d) = -5*c(d) + 3*g(d). Let z be q(2). What is the units digit of l(z)?
3
Let n = -341 - -632. What is the hundreds digit of n?
2
Let q = 0 - -1. Suppose 5*v + q = -0*v + 2*h, -5*h + 10 = -5*v. Let c(d) = 2*d**3 + d**2 + d - 1. What is the units digit of c(v)?
3
Suppose 6 = -q - 0*q. Let v = 38 - q. What is the tens digit of v?
4
Let x be (-5)/(-1)*(2 - 1). Suppose x*a - 6 = -1. Let l = a - -2. What is the units digit of l?
3
Let j(x) = -x**2 + 7*x - 7. Suppose -2*t + 8 = -4*c + 5*c, -5*c = t + 5. Let v be j(t). Suppose -5*l + 53 - v = 0. What is the units digit of l?
0
Let a(i) = -i**2 + 4*i - 1. Let u be a(3). Let q = -9 + u. What is the tens digit of (-4 - -6)*q/(-1)?
1
Let l(u) = 4*u. Let g be l(1). Suppose g*b - 24 = -4*q, -q + 0*b = -2*b + 3. Suppose 0 = -q*v + 5*k + 56, 4*v = 4*k - 1 + 65. What is the tens digit of v?
1
Suppose 0 = c + 5*y - 26 - 13, -64 = -2*c - 3*y. What is the tens digit of c?
2
Let w(k) = -11*k**3 - 2*k**2 + 2*k + 2. What is the tens digit of w(-2)?
7
Let k(o) = 8*o**2 - o - 3. Let y(a) = -8*a**2 + 2*a + 4. Let m(u) = 4*k(u) + 3*y(u). What is the units digit of m(-2)?
8
Let b(m) = -5*m - 16. What is the tens digit of b(-8)?
2
Suppose -3*o + 171 = 4*g - 4*o, -5*g - 3*o + 235 = 0. What is the tens digit of g?
4
Let v(t) = 2*t + 1. Let q be v(3). Let o(d) be the first derivative of d**3/3 - 3*d**2 + 10*d - 14. What is the units digit of o(q)?
7
Let y(i) = i**2 - i - 9. Let t(v) = -6 - 5 - 5 - 2*v + 6 + v**2. Let l(r) = -5*t(r) + 6*y(r). What is the units digit of l(-6)?
8
Let k(u) = -u - 1. Let s be k(-4). Let l = s + -2. What is the units digit of l*(0/1 - -9)?
9
What is the units digit of (3 - -3)*62*18/24?
9
Let f be 1 + 2 - 3/(-1). What is the units digit of (-8)/(1 - f/4)?
6
Let x = -7 + 11. Let p be (2/x)/(1/2). What is the tens digit of p + (-1)/((-2)/30)?
1
Suppose -14 + 5 = -c. Suppose 5*r - c*r = -72. What is the units digit of r?
8
Let c(r) = -2*r - 7. Let b be c(-6). Suppose 0 = z - 2*y, b*z - 3*y = -2 + 9. Suppose -2*j = -3*n + 28, 3*n + j - 48 = -z*j. What is the units digit of n?
2
Let o(u) = 4*u**2 - u + 1. Le