- 1. Suppose 5*f - 5 = -0*f. Let o be p(f). Suppose 3*s = 3*v + o + 8, -79 = -5*s - v. What is the tens digit of s?
1
Let y be 107/5 + 4/(-10). Suppose -3*b = 4*l - 54, 2*l - l - 3*b = y. What is the units digit of l?
5
Suppose 11 = 4*t - 9. Let f = -4 + t. What is the units digit of f?
1
Suppose 0 = -3*z + 5*g + 331, 5*z - 3*g - 327 = 2*z. What is the tens digit of z?
0
Let s = 0 - -4. What is the units digit of 0 + s - 3 - -6?
7
Let a(b) = 9*b**2 - b. Let h be a(-1). What is the units digit of (-5 + 3)/((-4)/h)?
5
Let h(q) = q**3 - 3*q**2 - 4*q - 9. What is the tens digit of h(5)?
2
Suppose 0 = 3*m - 7 - 2. Suppose 2*g + 21 = 5*z, -3*z + g + m = 3*g. What is the units digit of z?
3
Let z(p) = -p**3 + 6*p**2 + 4*p - 5. What is the units digit of z(6)?
9
Suppose -3*j - 46 = -5*g, 5*j - 3*g + 94 = g. What is the units digit of 1 - (j/1)/1?
3
Let d = -6 - -6. Suppose d*l = -2*l + 18. What is the units digit of l?
9
Let x = -32 + 62. What is the units digit of x?
0
Suppose 4*r - 189 = -5*z, 0*r = 4*r - 4*z - 144. Let t = r - 24. What is the tens digit of t?
1
Suppose 5*r + 23 = -17. Let h be 2/(-3)*84/r. Let f = h + -2. What is the units digit of f?
5
Let v = -107 - -192. What is the tens digit of v?
8
Let z(v) be the third derivative of v**6/120 + 13*v**5/60 + v**4/2 + 5*v**3/6 + 6*v**2. What is the units digit of z(-12)?
5
Let b = -52 - -74. Let h = -24 + 11. Let c = h + b. What is the units digit of c?
9
Suppose -4*o - o + 65 = 5*x, -o - 17 = -x. What is the units digit of x?
5
Let h be (-26)/(-6) + 6/9. Suppose -6*a + 7*a = h. What is the units digit of a?
5
Suppose 8*l - 125 = 3*l. What is the tens digit of l?
2
Let b = 31 + -13. Suppose -3*t = -b - 24. What is the units digit of t?
4
Suppose -i - i + 4*o = 4, -2*i - 2*o + 8 = 0. What is the units digit of i?
2
Suppose -6 = n - 4*n. Suppose 0*r = r - n. Suppose -2 = r*q, 0*m = -4*m - 5*q + 59. What is the tens digit of m?
1
Suppose 6*y - 5*y - 2 = 0. Let p = 1 + y. Suppose 0 = -2*o + o - 5*a + 33, -39 = -3*o - p*a. What is the units digit of o?
8
Let q be (-160)/(-4) + (0 - 0). Suppose h - q + 9 = 0. What is the tens digit of h?
3
What is the units digit of 1/(-1 - (-102)/100)?
0
Suppose -4*d - 661 = -5*j, -d - 25 = -j + 107. What is the units digit of j?
3
Suppose 198 = 5*x + 4*x. Let w(j) = -j**3 + 5*j**2 - j + 4. Let z be w(4). Let m = x - z. What is the units digit of m?
6
Let y = 18 + -6. Suppose -r - 2 = -y. What is the tens digit of r?
1
Let l = 6 + -6. Let x be l/5*2/(-6). What is the units digit of (-2 + 3)/(1 - x)?
1
Suppose -4*v + f + 40 - 12 = 0, 30 = 3*v - 3*f. Let h = v + 11. What is the units digit of h?
7
Suppose 99 = 5*h - 3*r, h + r - 23 = -0*r. What is the units digit of h?
1
Let s(g) = -g**3 + 8*g**2 - 9*g + 8. Let f be s(7). What is the tens digit of -3*(64/f)/2?
1
Suppose -t - 3*y = -11, -t + 5 + 9 = 2*y. What is the tens digit of t?
2
Suppose 0 = -a - 4*a - 25. Let x = 8 + a. What is the units digit of x?
3
Suppose -4*i - 4*s + 32 = 0, 4 = 2*s - 4*s. Suppose 2*o + o + i = 2*y, -14 = -y - 3*o. What is the units digit of y?
8
What is the units digit of -3 + (-596)/(-3) - 4/(-12)?
6
Suppose -6*v = -55 - 29. What is the tens digit of v?
1
Suppose -2*p = 3*t + 43, 3*p + 2*p = -3*t - 112. Let s = 36 + p. What is the tens digit of s?
1
Let i be ((-5)/15)/((-2)/18). Suppose 2*d = f + d, -2*f = d - i. What is the units digit of f?
1
Let j = 12 + -6. Let r = j + -4. Suppose p + 4 = r*p. What is the units digit of p?
4
Suppose -3*y - d + 306 = -0*d, -5*d + 204 = 2*y. What is the tens digit of y?
0
Let j(x) = 5*x - 7. Let l be j(3). Suppose 4*t + l*g - 4*g - 140 = 0, -4*g + 108 = 3*t. What is the tens digit of t?
3
Suppose 2*f + b = -3*b + 24, -5*f = -5*b + 15. Suppose 0 = 4*a - u - 4, -a + 3*a + f*u = 2. What is the units digit of 4 + -2*(a - 0)?
2
Suppose -2*p + 12 = -4*j + 2, -5*p + 13 = 2*j. Let b be 0 - (0/2)/j. Suppose b*a - 16 = -a. What is the tens digit of a?
1
What is the hundreds digit of 1/4 + 17619/84?
2
Let l(t) = 28*t - 11. What is the units digit of l(3)?
3
Let p = 21 + -13. Let w = 0 + p. What is the units digit of w?
8
Suppose -137 = -5*n - 4*d + 6*d, -3*n + 4*d = -85. What is the units digit of n?
7
Let b(i) = -i**3 - 5*i**2 - 5*i - 4. Let z be b(-3). Let c(t) = -6*t**2 - 2*t + 8*t - 3*t**3 + 2*t**3 + 5. What is the tens digit of c(z)?
1
Let y(v) be the third derivative of v**6/8 + v**5/60 - v**4/12 + v**3/6 - 9*v**2. Let j be -1 + (-8)/(-2) + -2. What is the tens digit of y(j)?
1
Suppose -46*y - 117 = -47*y. What is the units digit of y?
7
What is the tens digit of (1/(-5))/((-3)/885)?
5
Suppose 0 = h + 4*j - 4, 4*j - 28 = -6*h + 2*h. Suppose 3*m + 145 = h*m. What is the units digit of m?
9
Suppose -2*j + 96 = 2*j. What is the tens digit of j?
2
Let m(l) = -7*l**3 - l**2 - l - 1. Let x be -3*(-2 + 7/3). Let d be m(x). Let k = 12 - d. What is the units digit of k?
6
Let q = 57 + 233. What is the tens digit of q?
9
Let z(f) = -2*f + 5. Suppose 0 = -4*n + 11 - 31. What is the units digit of z(n)?
5
Let a(b) be the second derivative of -b**4/12 - 5*b**3/3 - 5*b**2 + b. Let g be (-3 - (6 + 0)) + 2. What is the units digit of a(g)?
1
Let r(u) = 38*u**3 + u**2 - 2*u + 2. What is the tens digit of r(1)?
3
Let h(c) = -7*c - 5. Let w be h(-4). Suppose 3 - w = -r. What is the units digit of r?
0
Let z(b) = 6*b**2 - 2*b + 26. What is the tens digit of z(-8)?
2
Let b(v) = -6*v - 1. Let n be ((-30)/(-9))/(8/12). Suppose -n*c = 13 - 3. What is the units digit of b(c)?
1
Suppose -2*j - 5*g = -137, 5*j - g = 3*j + 107. What is the units digit of j?
6
Let u be 3 + -1 + 0 + 5. What is the units digit of (1 + u)*(-3)/(-3)?
8
Suppose -3*o = 2*o - 20. Suppose 0 = -u + o*u - 33. What is the units digit of u?
1
Suppose 3*p = 53 + 217. What is the units digit of p?
0
Suppose 0 = -4*l - 4*i - 47 + 335, 0 = 3*l + 5*i - 212. What is the units digit of l?
4
Let p = 9 + -7. What is the units digit of p?
2
Let p = 37 + 9. What is the units digit of p?
6
Suppose 3*r - 14 = 2*b, b + 4*b - r = -48. Let h = b - -12. What is the units digit of (h/6)/((-1)/(-18))?
6
Let k(c) = -8*c + 3. Let d be k(4). Suppose 2*g - n + 21 = 0, g + 2*n = 6*n - 14. Let q = g - d. What is the tens digit of q?
1
Suppose 2*i = -4*d + 184, 3*d - 27 - 114 = -3*i. What is the units digit of d?
5
Let i = 5 - 3. Let f = i - -9. What is the units digit of f?
1
What is the units digit of 20 + -1 - 6/(-3)?
1
Let c be 12/(-9)*9/(-6). What is the units digit of c*-1*1/(-2)?
1
Let h(j) = 4*j**2 - 16. What is the units digit of h(-6)?
8
Let c(o) be the first derivative of -o**4/4 - 4*o**3/3 + 2*o - 3. Let k be c(-4). Suppose 0 = -q + 3 + k. What is the units digit of q?
5
Let q(a) = -a**3 - 7*a**2 - 5*a + 6. Let w be q(-6). Suppose -5*s + 35 = -w*s. What is the units digit of s?
7
Suppose 7*p - 6*p = 37. What is the units digit of p?
7
Suppose -5*p + 0*p + 175 = 2*y, -p = 3*y - 48. What is the tens digit of p?
3
Let u(w) = 2*w**2 + 1. Let f be u(1). Suppose -f*q = -o - 22 - 51, -4*o + 99 = 5*q. What is the units digit of q?
3
Suppose -2*t + 246 = p, 5*t = -2*p + 609 - 116. What is the units digit of p?
4
Suppose 3*v - 2*y - 8 = -0*v, -3*v - 5*y = 20. Let g(o) = -3 + 0 + o + 13. What is the units digit of g(v)?
0
Suppose 3*w = 5*c + 6*w - 12, -3*w = -c + 6. Let n be -1*(-1 + (2 - c)). Let o = n - 1. What is the units digit of o?
1
What is the units digit of 725/2 + 117/78?
4
Let j(r) = 4*r**3 - 2*r**2 + 2. Let m be j(2). What is the units digit of (-4)/m + 270/65?
4
Let r be ((0 - 3) + 0)/(-1). Suppose -2*z + 4*y = -10, -r*z = -y - 0*y - 30. What is the units digit of z?
1
Let m(o) = -o**3 - o. Let c(l) = -l**2. Let f be c(0). Let d be m(f). What is the units digit of 8/(0 - (-1 - d))?
8
Suppose -2*p = -t - 36, -4 = 4*t - 2*t. Let w be 3/(-6*(-2)/40). Let j = p - w. What is the units digit of j?
7
Suppose -t + 0*t = 4*n - 211, 0 = -2*t + n + 413. What is the units digit of t?
7
Let x be (-46)/(-10) - 4/(-10). Suppose -2*r - 10 = 3*f, r = -x*f + f - 10. What is the units digit of f/(-3)*(-15)/(-2)?
5
Let x(n) be the second derivative of 0 + 1/6*n**4 + 3/2*n**2 - 2/3*n**3 - 4*n. What is the units digit of x(2)?
3
Suppose 0 = 5*b - 31 - 54. What is the units digit of b?
7
What is the tens digit of 1*(-3 - -1) + 89 + -2?
8
Suppose