of f?
1
Let r(m) be the second derivative of m**3/2 + m**2/2 - 2*m. Let w be r(-5). What is the units digit of (w/2)/(-1) - -1?
8
What is the units digit of -1 + -3*208/(-12)?
1
Suppose -1186 = -11*s + 1861. What is the hundreds digit of s?
2
Suppose g = -5*c + 10*c - 187, 4*c + 3*g - 142 = 0. What is the tens digit of c?
3
Let m = -83 + 184. What is the units digit of m?
1
Let z(x) = x**3 - x**2 + x + 4. Let c be z(0). Suppose -5*m = -c*k + 29, 3*k + 17 = -m - 3*m. What is the units digit of k?
1
Suppose 5*n = 4*i + 14, -30 = 4*i + 2*n + n. Let k(j) = j**3 + 5*j**2 - 5*j + 6. Let f be k(i). Let z = f + 3. What is the units digit of z?
3
Let s = -44 - -69. Suppose 14 + s = 3*p. Suppose -26 = -3*r + p. What is the units digit of r?
3
Let k(r) = r**3 - 7*r**2 + 3*r - 1. Let g be k(6). Suppose -2*j = 3*j - 145. Let l = g + j. What is the units digit of l?
0
Let h(o) = -o**2 + 5*o + 3. Let a be h(5). Suppose 9 = -a*q, 4*t + 2*q + 2 = -0*t. What is the units digit of (6/(-18))/(t/(-51))?
7
Suppose 2*v = -4*h + h + 17, -4*v = -h + 29. Suppose h*y - 6*y = -171. Let s = -36 - y. What is the tens digit of s?
2
Suppose 3*s + 5 = -3*d - 7, 2*s - 4 = 4*d. Let c(l) = -l**2 - 4*l - 3. Let n be c(s). What is the units digit of n/(-2) - 18/(-4)?
4
Let i be (-1)/(-1*(-2)/(-6)). Suppose -5*f = -i*q + 4, -4*q - 2*f = -9*q - 25. Let y = q - -17. What is the tens digit of y?
1
Let c = -33 + 60. What is the units digit of c?
7
Suppose 2*s + s = 15. Suppose -5*f + s + 0 = 0. What is the units digit of f?
1
Suppose 3*q + 0 + 11 = 5*k, 0 = 5*k + 2*q - 26. Suppose -x = z - 6*x - 32, k*z - 32 = -4*x. Suppose 3*l = z - 3. What is the units digit of l?
3
Let t(c) be the first derivative of c**3/3 + c**2/2 - 2*c - 3. What is the units digit of t(-3)?
4
Let a be (-5)/((0 - 1)/5). Suppose -5*z - a = -v, -5*z - 30 = -3*v + 15. What is the tens digit of v?
1
Let j be 2/(-3) + 20/3. Let z(f) be the third derivative of f**4/12 - f**3/2 - 7*f**2. What is the units digit of z(j)?
9
What is the hundreds digit of (-3 - (-3 + 2))*(-478)/4?
2
Let g = 3 + -3. Suppose -2*p + g*d + 33 = d, -d = -p + 15. What is the tens digit of p?
1
Suppose -g - y = 17, 3*g - 5*g - 22 = -y. Let t = g - -23. What is the tens digit of t?
1
Let d = 193 + -96. What is the units digit of d?
7
Let q(d) = d**2 + 5*d + 4. Let g be q(-4). Suppose g*a = 3*a. Suppose 4*v + v + 10 = 0, 2*m - 3*v - 12 = a. What is the units digit of m?
3
Let f(m) = -m**2 - 19*m + 7. Let w = -18 + 2. What is the units digit of f(w)?
5
Suppose 0 = -14*q + 1563 + 3491. What is the hundreds digit of q?
3
Let f(q) be the second derivative of -1/20*q**5 + q**2 + 1/2*q**4 - 5/6*q**3 - 3*q + 0. What is the units digit of f(5)?
2
Let d = -1 - -9. What is the units digit of d?
8
Suppose 0 = f - 1 - 2. Let y be (f - -1 - 2) + 1. Suppose -6 = y*h - 21. What is the units digit of h?
5
Suppose -2*o + 1 - 4 = n, -3*n - 2*o - 13 = 0. Let d = -1 - n. What is the units digit of d?
4
Suppose 8*g = 3*g + 165. What is the tens digit of g?
3
Let m = -5 + 9. Suppose -o + 35 = m*o. What is the units digit of o?
7
Suppose 3*t + 0 - 15 = 0. Let v = t + -3. What is the units digit of (v*1)/(1/1)?
2
Let n = 327 + -170. What is the tens digit of n?
5
Let t be 0/(4*(-2)/(-4)). Suppose -2*w - w + 42 = t. What is the tens digit of w?
1
What is the units digit of 100 - (-6 + 4/(-8)*-6)?
3
Let a = 21 + -15. Suppose 5*d = 2*d + a. Suppose 5*p = 3*w - 10, -d*w + 7 + 2 = -p. What is the units digit of p?
1
Let r(d) = -4*d - 24. What is the units digit of r(-16)?
0
Let k be -9 - -6*(-3)/(-6). What is the tens digit of 2/k + 219/9?
2
Suppose f + 294 = 7*f. What is the tens digit of f?
4
What is the tens digit of (25/10 - 3)*-70?
3
Let z(x) = -x + x + 8 - 2*x. What is the tens digit of z(-12)?
3
Let u(l) = l**3 + 7*l**2 + 5*l - 3. Let v be u(-6). Suppose -v*f = -5*f + 10. What is the units digit of f?
5
What is the tens digit of 4 - (23/(-1) + 1)?
2
Let v(z) = -2*z + 93. Let s(b) = b - 46. Let l(x) = -13*s(x) - 6*v(x). What is the units digit of l(0)?
0
Suppose 203*i = 201*i + 364. What is the units digit of i?
2
Let m be 9/(-3)*4/(-3). Let p be 2/(-3) - 184/(-6). Suppose m*c + c = p. What is the units digit of c?
6
Let d be (-4)/(-10) - 266/(-35). Let o = -5 + d. What is the units digit of o?
3
Suppose 0 = -5*y - 0*y - 20. Let a = 3 + y. Let i = 2 + a. What is the units digit of i?
1
Suppose r - 105 = -2*r. Suppose -l + 53 = -r. What is the units digit of (-2)/9 - l/(-72)?
1
Let o(z) = -z**3 - 5*z**2 + 4. Let f be o(-5). Let m = f - -25. What is the units digit of m?
9
Let o(i) = -i**2 + 4*i - 1. Let b be o(3). Suppose -b*w + 10 = 3*w. Suppose z - 17 = -4*f + 11, 4*z - w*f - 22 = 0. What is the units digit of z?
8
Let n(a) = 18*a**2 + a + 25*a**2 - 45*a**2 - 2*a**3. Suppose 0*x - 5*x - 10 = 0. What is the units digit of n(x)?
6
Let x(l) = -l - 3 + 4 + 2. What is the units digit of x(-3)?
6
Let f = -3 + 3. Let b(z) = 2*z - 9. Let k be b(6). Suppose 6*i - k*i - 21 = f. What is the units digit of i?
7
What is the units digit of 7 - -2*(1 - 0)?
9
Suppose -13 = -k - 2. Suppose -2*u = 3*u - o - 8, -4*u - 5*o - k = 0. What is the units digit of u/(-3)*(-5 + -16)?
7
Let c(j) = -6*j - 11. Let y be c(-6). Let x = y - 15. What is the tens digit of x?
1
Let g be (-28)/(-6) + (-4)/6. What is the units digit of (6/g - 1)*14?
7
Suppose -2*o = o - 132. What is the tens digit of o?
4
Let x be 6*(4 - (-11)/(-3)). Let k(z) = 4*z. What is the units digit of k(x)?
8
Let d = -465 - -671. What is the tens digit of d?
0
Suppose 4*f - 3*y = 212, 2*y = -5*f - 2*y + 265. What is the tens digit of f?
5
Suppose -6*w + 3*w = 0. Let y = w - -4. What is the units digit of y?
4
Let q = 49 + -21. What is the units digit of 8/q - (-80)/14?
6
Suppose 3*n - 1719 = -6*n. What is the units digit of n?
1
Let d(c) = -c**2 - 9*c - 10. Let f be d(-8). What is the tens digit of 16/12*(-21)/f?
1
Let q = -196 + 293. What is the tens digit of q?
9
Suppose 5*x - 6*x + 4 = 0. Let f be (2/x)/(3/12). Suppose 4*v + 2 = -18, -5*b = f*v - 65. What is the tens digit of b?
1
What is the tens digit of (158/4)/(1 - 3/6)?
7
What is the units digit of 4/((-9)/(1116/(-8)))?
2
What is the units digit of ((-14)/(-4) - 4) + 345/2?
2
Let n be 9/(-18) + (-14)/(-4). Suppose -4*d = -n*b - 67, -5*d + 0*b + 104 = 3*b. What is the tens digit of d?
1
Let a(u) = -2*u**2 + 28*u - 20. What is the tens digit of a(11)?
4
Let j(z) = -z**2 + 6*z - 6. Let n(t) = -t**2 + 5*t - 6. Let k(b) = 5*j(b) - 6*n(b). Let l be k(0). What is the units digit of (-1)/(l/(-15))*2?
5
Suppose -5*j + 5*n = -35, -j - 4*n = -11 - 16. What is the units digit of j?
1
Let r(h) be the first derivative of h**3/3 - 4*h**2 - 6*h - 4. What is the tens digit of r(10)?
1
Let d = 50 + 21. What is the tens digit of d?
7
Let x = 9 + -3. Let m = -3 + x. What is the units digit of m?
3
Suppose 4 = -3*o + 10. What is the tens digit of (-1 - -31)/(o/1)?
1
Let r(d) = d**3 + 8*d**2 - 7*d - 5. What is the units digit of r(-7)?
3
Let z(n) be the first derivative of n**2/2 + 3*n + 3. What is the units digit of z(-1)?
2
Let g be 2/7 + 4/(-14). Suppose -3 = x - g*x. Let q = x + 6. What is the units digit of q?
3
Suppose -2*k - 3*l + 10 = -7*l, -k - 5*l + 5 = 0. Suppose k = 3*y - 49. What is the units digit of y?
8
What is the hundreds digit of (-430)/(-4) - 3/6?
1
What is the units digit of (-10)/45 + (-389)/(-9)?
3
Let r = 23 + 57. Suppose -4*p = -9*p + r. What is the tens digit of p?
1
Let o = -29 + 57. What is the tens digit of o?
2
Suppose -2 = 3*j + 2*z - 5, 4*z = 5*j - 27. Suppose 2*k = j*p + 8, -4*k = k - 3*p - 29. What is the units digit of k?
7
Suppose 0*n = 5*n - 10. Let t(h) = h**3 - h**2 + 3*h - 1. What is the units digit of t(n)?
9
Let x(s) = -s + 2. Let j be x(0). Let u = 2 - j. Suppose u = -k + 3*k - 4. What is the units digit of k?
2
Suppose 4*y + 9 = 29. Suppose -4*d + 3*v + 6 = 0, 0 = -y*d - 2*v - 2 - 2. Suppose d*i = 5*i - 50. What is the tens digit of i?
1
Let l = 22 + -13. Let t(v) = v**2 - 9*v + 2. Let f be t(l). What is the units digit of (-195)/(-20) - f/(-8)?
0
Let g(z) = -z**3 - 9*z**2 - 9*z + 1. Let q be g(-8). Let x = -24 - -31. Let u = q - x. What is the units digit of u?
2
Suppose 3*z - 4 - 2 = 0. Suppose 0 = z*v - v - 4. Suppose 3*o + 2*o - 4 = 3*a, 18 = 5*o