 1. Let c be -15 - -4*(-1)/1. Let h = c + p. What is the tens digit of h?
1
Let x = -2 - -8. Suppose 2*l - 3*l = -x. What is the units digit of l?
6
What is the tens digit of (-116)/(-10)*(-30)/(-1)?
4
Suppose 20 = -5*a + a, 3*a = -c + 252. What is the units digit of c?
7
Let x = 3 - -1. Suppose -3*l - y + 56 = 0, 4*l - 34 = x*y + 62. What is the tens digit of l?
2
What is the hundreds digit of 2 + (3 + -3 - -114)?
1
Suppose 23*u + 66 = 24*u. What is the tens digit of u?
6
Suppose 15*h - 10*h - 1180 = 0. What is the tens digit of (-2)/(-8) - h/(-16)?
1
Suppose -4*x + 0*x - 20 = 0, 3*v - 3*x - 18 = 0. Let h = 10 + v. What is the units digit of h?
1
Suppose -k + 5*k = 132. What is the units digit of k?
3
Let p = -56 - -200. What is the tens digit of p?
4
Let d be (-6)/4*(-3 - -1). Let f = -3 + 5. Suppose 20 = f*h + d*h. What is the units digit of h?
4
Let a(m) be the third derivative of -m**5/60 + 5*m**4/12 + m**3/2 - 3*m**2. Suppose -4*h + 26 = -14. What is the units digit of a(h)?
3
Let h(t) be the first derivative of t**7/168 + t**6/360 - t**4/24 - 2*t**3/3 - 2. Let n(f) be the third derivative of h(f). What is the units digit of n(1)?
5
Suppose 2*s + 6 = 0, -x - 2*s - 7 = s. Suppose -4*u + x*u = -348. What is the tens digit of 4/6 + u/9?
2
Suppose 0 = -2*u + 5*i - 6 - 0, -3*u = 3*i - 12. Suppose -20 = -u*p + 12. What is the units digit of ((-15)/(-4))/(4/p)?
5
Let a(v) = v + 8. Let h be a(-4). Suppose 5*p - h*n - 26 = -0*p, -p - 5*n = 18. Suppose 5*d = -3*j + 100, 0 = 4*d + 5*j - p*j - 83. What is the tens digit of d?
1
Suppose -4*b + 143 = -173. What is the units digit of b?
9
Suppose 0 = -2*c - c + 198. Suppose 13 = o + 3*s, 0 = 4*o + 3*s + 2*s - c. What is the units digit of o?
9
Let u(f) = -2*f - 10. Let v(j) = j + 1. Let l(y) = -u(y) - 3*v(y). What is the units digit of l(0)?
7
Let u(x) = 0*x**2 + 2*x**2 - 17*x**3 + 1 - 3*x**3 + 2*x. Let k be u(-1). Suppose 3*m + 0*n - k = -2*n, -4*n = 0. What is the units digit of m?
7
Suppose 0 = -m + 5*g + 8, 5*m - 5*g + 0*g = 100. What is the units digit of m?
3
Let f = 14 + -12. Suppose -5*y - 10 = -0*y, 5*d = -f*y + 101. What is the units digit of d?
1
Suppose -3*h + 10 = -s - 22, 8 = 2*h - 4*s. Suppose x + h = 3*x. What is the units digit of x?
6
Suppose 0 = -3*z - 5*b + b + 154, 3*b = -6. What is the tens digit of z?
5
Suppose 5*j + 3*z + z - 87 = 0, 2*j - 2*z - 42 = 0. Let q = -3 + j. What is the units digit of q?
6
Suppose 9*j = 11*j - 416. What is the hundreds digit of j?
2
Let h(n) = -5*n + 2. Let j(a) = -20*a + 9. Let f(i) = 26*h(i) - 6*j(i). What is the units digit of f(-2)?
8
Let a = -3 + 9. Suppose -2*c - r - 13 = 0, c + 4*r - r = -14. Let b = c + a. What is the units digit of b?
1
What is the units digit of ((-100)/(-3))/((-9)/(-27))?
0
Let q = 45 + -19. Suppose 2*g - 49 = -2*n + 3*g, g = n - q. What is the tens digit of n?
2
Let c(m) = -m**2 + 7*m + 3. What is the units digit of c(6)?
9
Let q(i) be the third derivative of 1/3*i**3 + 0 + 0*i + 1/120*i**6 - 2*i**2 + 2/15*i**5 - 1/24*i**4. What is the units digit of q(-8)?
0
Suppose 0*g - 750 = -6*g. What is the tens digit of g?
2
Let i(l) = -l**3 + 4*l**2 - 2*l - 1. Let w be i(3). Suppose -2 = -2*q - 4*v - 0, w*q - 7 = -3*v. Suppose -2*d = -q - 9. What is the units digit of d?
0
Let c(q) = q**3 - 5*q**2 - 6*q - 2. Let v be c(6). What is the units digit of (1 + v)*174/(-6)?
9
Let n(r) be the first derivative of -r**3/3 - 3*r**2 - 4*r + 1. Let k = -5 - 0. What is the units digit of n(k)?
1
Let h(s) = -s**3 - 2*s**2 + 6*s + 2. Suppose 3 = -2*o - 5. Let t be h(o). Suppose 2*z - t = z. What is the units digit of z?
0
Suppose -5*i = 4*n - 21, -7 = -4*n + 6*n - i. Let l(v) = 1 + 5 - 5 + 12*v**2. What is the units digit of l(n)?
3
Suppose 5*q + 1 = 21. Suppose p - q - 8 = 0. What is the units digit of p?
2
Let g(j) be the third derivative of -1/6*j**3 + 0*j + 1/12*j**5 - 2*j**2 + 0 - 1/12*j**4 - 1/120*j**6. What is the units digit of g(4)?
7
Let l = -9 - -5. Let a = l - -7. What is the units digit of a?
3
Let h = -8 + 12. Suppose 3*c = 3*b - 13 - 29, -h*b - c = -66. What is the tens digit of b?
1
Let o = 16 - 5. Let n be 2*(-2 - o/(-2)). Suppose 0 = -2*p + 3*p - n. What is the units digit of p?
7
Let a = -40 - -20. Let r = 12 - a. What is the tens digit of r?
3
Suppose m = 2*y - 328, -y = 2*y - m - 491. What is the units digit of y?
3
Suppose 5 = 2*o + 3*a, 2*a = 2*o + o - 27. Suppose 0 = 2*w - 19 - o. What is the units digit of w?
3
Let c(s) = s**2 - 3*s + 4. What is the units digit of c(-4)?
2
Suppose 4*s = 5*x - 19 + 5, -50 = -5*x - 5*s. Suppose 0*u = -4*u + 2*g + x, 2*u + g + 7 = 0. Let c(f) = -6*f**3 + 2*f + 1. What is the units digit of c(u)?
5
What is the units digit of (2 - -8) + (2 - 0)?
2
Suppose 0 = 3*c - 2*c - 2. What is the units digit of c?
2
Suppose 0 = 3*z - 4*z + 196. What is the tens digit of z?
9
Let l(r) = 4*r**2 + 6*r + 5. What is the tens digit of l(-4)?
4
Let c = -9 + 13. Suppose -9*b + 75 = -c*b. What is the tens digit of b?
1
Let k(o) = 7*o**2 - 2*o + 1. Let x be -1*((-18)/3 + 2). Suppose -x - 1 = -5*v. What is the units digit of k(v)?
6
Suppose 4*x = -4*d + 4, 8*d + 3*x = 3*d + 7. Suppose -5*b + d*b + 75 = 0. What is the units digit of b?
5
Let o(y) = y**2 - 8*y + 21. What is the hundreds digit of o(-8)?
1
What is the tens digit of (880/(-24))/(4*(-3)/18)?
5
Let m be ((-2)/3)/(2/(-6)). Suppose 2*g + 8 = 4*y, -m*g + 5*g - 2*y = 0. Suppose g*h = h + 13. What is the tens digit of h?
1
Let s be (-2871)/(-45) + (-2)/(-10). Suppose -12 = -2*h + s. What is the tens digit of h?
3
Suppose -v - 5*g + 28 = 0, -3*g = 2*v - 4*v - 9. What is the units digit of v?
3
Suppose -k - 12 = 9. Let j = -17 - -8. What is the units digit of 3/(j/k) + 0?
7
Suppose -l + 6*l = -3*c + 6, -21 = -4*l + 3*c. Let r(u) = 0*u + u + 9 + l. What is the units digit of r(-5)?
7
Let k(q) be the third derivative of -q**6/120 - 2*q**5/15 - 11*q**4/24 - 5*q**3/3 + 2*q**2. Let v be k(-7). What is the units digit of (12/v)/(4/42)?
7
Let f be (10 - 8) + 1*-6. What is the tens digit of ((-8)/(-12))/(f/(-78))?
1
Let o = 88 + -62. Suppose -u - 24 = -6*u + b, 0 = -4*b - 16. What is the units digit of o*((-10)/u + 3)?
3
Let s(t) = -t**3 - 3*t**2 - t + 5. Let g be s(-4). Let j = g - 22. What is the units digit of j?
3
Let s(t) = -35*t**2 + 1. Let m be s(-1). Let g = 64 + m. What is the tens digit of g?
3
Let x = -123 + 251. What is the hundreds digit of x?
1
Suppose 30*h = 29*h - 29. Let l = -26 - h. What is the units digit of l?
3
Let n = 5 - 3. Suppose -n*q = q. Let d = 13 - q. What is the tens digit of d?
1
Let m(h) = -62*h**3 + h. What is the units digit of m(-1)?
1
Suppose o + q - 8 = -q, 6 = 2*q. What is the tens digit of ((-35)/o)/(-7)*12?
3
Let k = -8 + -3. Let h = 0 - k. Suppose h = n + 3. What is the units digit of n?
8
Let t = 63 - 9. What is the tens digit of t?
5
Suppose 3*c - 4*x - 13 = 0, 4*x = -5*c + 8*x + 19. Suppose 4*j + 2*s = 68, -c*j - 4*s + 34 = -27. What is the tens digit of j?
1
Let o be 1*-1 + (7 - -57). Suppose 5*h - 2*h = o. What is the units digit of h?
1
Let t = 22 - 14. Let h = 9 - t. Let l = h + 1. What is the units digit of l?
2
Suppose 0 = 5*l - 3*l - 36. Suppose 3*b = 5*b - l. What is the units digit of b?
9
Suppose -4*l + 9*l - 105 = -5*y, -5*y + 75 = -l. Let a(k) = -5*k + 12. Let z be a(4). Let f = y + z. What is the units digit of f?
8
Let z(b) be the third derivative of 1/60*b**5 + 3*b**2 + 0*b + 0 + 1/4*b**4 + 7/6*b**3. What is the units digit of z(-7)?
4
What is the units digit of 0/(-2) - 695/(-5)?
9
Let v = 5 + 15. What is the tens digit of v?
2
What is the units digit of 147/98 + ((-1018)/(-4) - 1)?
5
Suppose -2*s = -3*n - 70, 2*s - 6*n = -n + 70. Let q = s + -23. What is the units digit of q?
2
Suppose 8 = g + 3. Let i = 10 - g. Suppose -3*u - i = -41. What is the tens digit of u?
1
Let d be ((-417)/12)/((-1)/(-4)). Let x = 198 + d. What is the tens digit of x?
5
Suppose 23 = 3*p - 4. Suppose 4*u + 0*y - 17 = -5*y, -4*y - 8 = -4*u. Suppose -u*k + 13 = -4*d - 9, -p = -2*k - 3*d. What is the units digit of k?
6
Let b = -21 - -31. What is the units digit of b?
0
Suppose 15 = -6*p + 3*p. Let y = p - -8. What is the units digit of y?
3
Let j = -11 - -11. Suppose j = p - 4*p + 51. What is the tens digit of p?
1
Let w be (2/5)/(5