v - 4. Suppose k = z*k + 18. What is the units digit of i(k)?
1
Let l be ((-21)/(-14))/(2/(-4)). Let h(i) = -i**2 - 4*i. What is the units digit of h(l)?
3
Let v be (2/(-10))/(2/(-10)). Let j be ((-4)/v)/(2/(-10)). Suppose 5*u + 0*u - j = 0. What is the units digit of u?
4
Suppose 2*o + 2*z + 157 = 7*o, -o - 2*z = -29. What is the tens digit of o?
3
What is the hundreds digit of 5*(-2 + (-468)/(-20))?
1
Let g(l) = -280*l - 63. Let t(r) = 9*r + 2. Let b(w) = -2*g(w) - 63*t(w). Let s be b(-1). Let x = -6 + s. What is the units digit of x?
1
Let p = 1 + -1. Suppose 4*f = -p*f + 60. What is the tens digit of f?
1
Let j(m) be the first derivative of -9*m**2 - m - 4. What is the tens digit of j(-1)?
1
Let a be 5 + 45 + -1 + -1. Suppose 0 = 3*o + 4*l + 8, 0 = 2*o - 5*l - a + 15. What is the units digit of o?
4
Suppose 2*o = 2*k - 20, 58 = 5*k - 4*o + 13. Suppose -2*p = 2*p + x - 31, 4*p = k*x + 61. What is the units digit of p?
9
Let c(b) = b**2 - 8*b - 25. What is the hundreds digit of c(-12)?
2
Let o = 11 + -8. Suppose -172 = -o*q - q. What is the units digit of q?
3
Suppose 0 = 5*p - 10*p - 5*c + 365, -5*p + 2*c = -351. What is the tens digit of p?
7
Suppose -3*z = 2*z + 10. Let b(h) = 10*h**2. Let w be b(z). Suppose -4*x = 12 - w. What is the units digit of x?
7
Suppose -14*y = -13*y - 64. What is the units digit of y?
4
Let z = 3 + -3. Let i be (-4)/14 + 60/14. Suppose -2*o + z*o + i = 0. What is the units digit of o?
2
Let b(l) = 6*l + 8*l**2 - 2*l**2 + 4 - 5*l**2. What is the tens digit of b(-8)?
2
Let x(l) = 2*l**3 + 4*l - 3. Let n be x(2). Suppose n + 35 = 4*r. What is the units digit of r?
4
Let x = -15 + 235. What is the hundreds digit of x?
2
Suppose 3 = -2*s + 15. Suppose 2*d = 9 - 1. Suppose -2*x = -s - d. What is the units digit of x?
5
Suppose -5*v - 21 = -5*r + 19, 0 = 4*r + 4*v - 16. Let a be ((-3)/5)/((-3)/(-45)). What is the units digit of 1/r*-2*a?
3
Suppose y - 12 = 4*d - 2, -2*y + 4*d + 20 = 0. Let j = y + 0. Let v(l) = l**2 - 8*l - 10. What is the units digit of v(j)?
0
What is the units digit of 5/(-10) + 0 + (-363)/(-2)?
1
Let x = 17 - 11. What is the units digit of x?
6
Suppose k = 4*m + 169, -2*k + 3*m = m - 350. What is the units digit of k?
7
What is the units digit of (-1)/(-3*1/12)?
4
Let l(f) = 3*f - 10. Let z(b) = -8*b + 29. Let a(p) = -17*l(p) - 6*z(p). What is the units digit of a(-9)?
3
Let v = 7 - 4. Let l(n) = n**2 - 4*n + 1. Let x be l(v). What is the units digit of (4 - -1)/(x/(-2))?
5
Let g(k) be the second derivative of -2/3*k**3 + 2*k - 5/2*k**2 + 1/12*k**4 + 0. What is the units digit of g(6)?
7
What is the tens digit of 68/17*(13 + -1)?
4
Let z(j) be the first derivative of -j**3/3 - 11*j**2/2 - 5*j - 8. What is the tens digit of z(-8)?
1
What is the tens digit of 536/14 - 2/7?
3
Suppose 18 = -y + 64. Let z = y - 27. What is the units digit of z?
9
Let s = -53 - -108. What is the tens digit of s?
5
Let m(x) be the third derivative of x**5/60 - x**4/3 - 5*x**3/6 - 4*x**2. What is the units digit of m(9)?
4
What is the units digit of (-27)/2*(-10)/15?
9
What is the tens digit of (-1 - 60)*-1*(16 + -13)?
8
Suppose -39 = -3*j - 0*j. Suppose 0*n + j = 2*f + n, -2*f + n + 15 = 0. What is the units digit of f?
7
Let w = -8 - -11. Let o = 1 - -15. Suppose -o = -w*k + 11. What is the units digit of k?
9
Suppose -4*r + 4*s - 5*s = -20, 5 = r + 4*s. Let b = -7 + r. Let f = 1 - b. What is the units digit of f?
3
Suppose 2*j + 3*j - 10 = 0. What is the units digit of 7 + (-2)/j - -3?
9
Suppose 5*r + 18 + 287 = 4*l, r + 317 = 4*l. What is the tens digit of l?
8
Let f = 8 + -6. Suppose -65 = -3*r - f*r. What is the units digit of r?
3
Let t(c) = -20*c - 8. What is the tens digit of t(-5)?
9
Let a(u) = -u + 12. Let r be a(10). Suppose r*s + 5*x - 27 = 0, 31 = -2*s + 5*s - 2*x. Suppose -o = -b - 3, -3*b + s = o - 0*b. What is the units digit of o?
5
Let w = -9 - -7. Let g(t) = -8*t - 1. What is the units digit of g(w)?
5
Suppose 3*s + s + 4*a - 1296 = 0, 2*a - 967 = -3*s. What is the tens digit of s?
1
Let g = 40 + -16. Suppose -5*r + g = -26. Let z = r - 5. What is the units digit of z?
5
Suppose -5*p + 2*v + 56 = 0, -32 = -3*p + 3*v - v. What is the tens digit of p?
1
Suppose -9*y + 4*y + 110 = 0. Let a = y + 1. What is the units digit of a?
3
Suppose 0 = u - 3*p + p, -2*p = 0. What is the tens digit of (3 - u)/(8/40)?
1
Suppose 4 = 2*o - 2. Suppose 6*c - 6 = o*c. What is the units digit of c?
2
Let j(o) = -o**2 + 2. Let u be (-2)/6 - 1/(-3). What is the units digit of j(u)?
2
Suppose 5*b - 2*o = 11, -3*b + 3*o - 2*o = -7. Suppose -b*q + 0 = -5*h + 3, -4*h + 5*q - 8 = 0. What is the units digit of h?
3
Let q be ((1 - 1) + 0)/1. Suppose 5*j = -0*j + 10. Suppose 0 = 2*o - j*z - 10, -z = -q*z - 2. What is the units digit of o?
7
Suppose 0 = 3*g + 2*d + 2, 5*g = -2*d - 2*d - 6. Let u be 1*5 - (0 + 2). Suppose -u*a + g = -2*a. What is the units digit of a?
2
Let n = -9 + 13. Let b be 1 - (-1 - -3)/(-2). Suppose -4*m = n, 3*m + 7 = b*i - i. What is the units digit of i?
4
Let u(i) = i**2 + 8*i - 4. What is the tens digit of u(12)?
3
Let c(t) = 4*t**2 + 2*t - 1. Suppose 4*a = -4*z, -4*a - 6 = 5*z - 3*z. Let i be a - (-2 - (-1)/1). What is the tens digit of c(i)?
1
What is the tens digit of (-17)/((0 + -1)/1)?
1
Let m(a) = -5 - 7*a + 0*a**2 + 3 - 3*a**2 + a**3. What is the units digit of m(5)?
3
Let x(r) = -r**2 - 28*r - 13. What is the units digit of x(-12)?
9
Let x be (1/2)/(1/(-14)). Let b = 10 + x. Suppose b*l = o + 7 + 1, l + 2*o - 5 = 0. What is the units digit of l?
3
Suppose -1 - 5 = -2*r. Suppose r*b - 17 = -3*u - 2, -2 = -b + 2*u. Suppose 4*d = 2*c - b*c + 18, 0 = c - 4*d - 33. What is the units digit of c?
7
Let r(w) = 21*w**2 - 2*w + 2. What is the units digit of r(2)?
2
Let v(n) be the second derivative of -n**3/3 - n**2 + 2*n. Let f be v(-3). Suppose 3*b = 5*k - 30, 0*k - k + f*b = -23. What is the units digit of k?
3
Suppose 3*p + 2*z - 38 = 4*z, p - z - 14 = 0. What is the units digit of p?
0
Let m be 2/((-1 - -3) + -4). What is the tens digit of 1320/45 - m/(-3)?
2
Suppose -2*w - 3*w + 38 = -3*m, 4*m + 45 = w. Let f = m - -15. Suppose -u + 4 + f = 0. What is the units digit of u?
8
Suppose 2*y = 5 - 1. Let b be 4 + y + (0 - 1). Suppose 0*d + b*d = 3*s + 2, 0 = -s + 4*d - 3. What is the units digit of s?
1
Let v = 15 + -10. Suppose -2*x + 39 = v*t, -2*x + 2*t = -14 - 4. What is the units digit of x?
2
What is the units digit of (-155)/(-9) - (43/(-9) - -5)?
7
Let u(r) = 10*r**2 + 4*r - 7. What is the units digit of u(3)?
5
Suppose -3*k + 3 = 2*t, 0*t = 4*t - k + 1. Suppose t = 5*w - 8 - 27. Suppose 5*u = -2*g + 31 - w, -4*g + 48 = -3*u. What is the units digit of g?
2
Let o = -15 - -20. What is the units digit of o?
5
Suppose -345 + 45 = -2*s. What is the hundreds digit of s?
1
Suppose -41 = -2*i - 4*v + 99, 0 = -4*i + 4*v + 244. What is the tens digit of i?
6
What is the units digit of (6/15 - 9/(-15))*37?
7
Let v(m) = 3*m**2 - 10*m - 4. What is the tens digit of v(7)?
7
Suppose -r - 2*r + i = -64, -3*i + 107 = 4*r. What is the tens digit of r?
2
Let d(q) be the third derivative of -q**5/60 + 5*q**4/12 - q**3 - q**2. What is the tens digit of d(8)?
1
Let t(r) = r**2 - 9*r + 1. Let h be t(9). Suppose -l = -0 - h. What is the units digit of (-7)/l*(3 + -4)?
7
Let s(f) = 5*f**3 - f**2 + f. Let r = 2 - 1. What is the units digit of s(r)?
5
Let d be ((-1)/(3 + -2))/1. Let c be -2*(d/(-2) + -2). Suppose 3*i = c*h - 42, -h = h - i - 24. What is the units digit of h?
0
Suppose -551 = -3*f + x, -5*f - 3*x = -8*x - 905. What is the tens digit of f?
8
Let h = 160 - 15. What is the hundreds digit of h?
1
Let s(g) = 2*g**2 + 11*g - 2. What is the tens digit of s(-8)?
3
Let r(g) = -4*g + 10. Let k(o) = o - 2. Let b(m) = 14*k(m) + 3*r(m). What is the units digit of b(8)?
8
Let p = -95 + 173. What is the units digit of p?
8
Suppose 4 = 2*r + 2*j, 2*j = 5*r - 14 - 17. Suppose 0 = -5*v + p + r, 5*v = -8*p + 3*p + 5. What is the units digit of v?
1
Suppose -6*z + 2*z = -244. What is the tens digit of z?
6
Suppose -2*a = -7*a. Let k = 1 - a. What is the units digit of k?
1
Suppose 6*f + 1332 = 11*f + 3*c, -f - 3*c = -264. What is the tens digit of f?
6
Suppose 5 = -4*n + 729. What is the units digit of n?
1
Let z = -150 + 31.