3. Let q = r - 2. What is the units digit of q?
9
Let d(t) = 0*t + 0*t**2 + t**2 + 3*t + 5. Let u = -1 + -4. What is the units digit of d(u)?
5
Let q(l) be the first derivative of -l**4/24 + l**3/3 - l**2 + 1. Let c(s) be the second derivative of q(s). What is the units digit of c(-5)?
7
Suppose 2*t - 5*n = -t + 78, -4*t - n = -81. Suppose -2*k + t = -9. Suppose -k - 15 = -2*c. What is the units digit of c?
5
Let w be (-2 - (-2 + -3))*1. Let s(d) = 4*d - 1 + 4 - 4. What is the tens digit of s(w)?
1
Let t be 3/(-4) + (-207)/12. Let i be (-340)/9 - (-4)/t. What is the tens digit of i*(1 + 3/(-2))?
1
Let s(z) = -10*z - 6. Let u(y) = -3*y - 2. Let p(q) = -2*s(q) + 7*u(q). Let b(a) = -a**2 + 5*a. Let t be b(6). What is the units digit of p(t)?
4
Let s = -23 - -20. What is the units digit of 0 - -2 - (s + -1)?
6
Let v(u) = u**3 + 8*u**2 - 9. What is the tens digit of v(-7)?
4
What is the tens digit of 60/(-9)*(-15)/4?
2
Let r(y) = 8*y - 11. What is the units digit of r(6)?
7
Let r(w) = -w + 22. Let t be r(9). Suppose -5*s = -7 - t. What is the units digit of s?
4
Suppose 2*q - 174 = 2*j, -3*q = q - 2*j - 342. What is the tens digit of q?
8
Let u(p) = 19 + p - 26 + 3*p. What is the tens digit of u(6)?
1
Let l = -23 + 26. What is the units digit of l/(-3)*(1 - 26)?
5
Suppose 4*y - 3*y - 5*i - 10 = 0, 38 = -3*y - 2*i. What is the units digit of 10/25 + (-16)/y?
2
Suppose 0 = -2*h + 7*h + 2*t - 12, 3*t + 12 = 0. Suppose 5*l - h = 1. What is the units digit of l*3/6*4?
2
Let z be (-160)/6 + 4/6. Let b be z/(-6) - (-2)/(-6). Suppose -3*t + 30 = 3*k, t + b*t - 40 = -3*k. What is the units digit of k?
5
Suppose 0 = -z + 3, -r - r + z = -1. Suppose 14 + 0 = r*l. What is the units digit of l?
7
Suppose r - 3*r = 5*z + 11, 4*z = -4*r + 8. Suppose -h - 2*n = -0*n + r, 5*h = -3*n. Suppose -l = -v + 8, 3*l = h*v + l - 20. What is the units digit of v?
4
Let u(b) = -6*b - 3. Suppose -m - 12 = 3*m. Let w be u(m). Let q = -10 + w. What is the units digit of q?
5
Suppose -59 = -5*y - 2*w, 2*y - 4*w - 3 = y. Let c = 10 + -17. Let p = y + c. What is the units digit of p?
4
Let z be (8/(-6))/(4/(-6)). Suppose 3*x - 30 = -z*a + 24, 3*a + 55 = 4*x. What is the tens digit of x?
1
Let x be (-3)/(-4) - (-11)/(-4). Let v be x/(-6) + (-1552)/(-6). What is the units digit of v/14 + 2/(-4)?
8
Let f = -16 + 10. Let p = f - -3. Let r(x) = -x**2 - 3*x + 4. What is the units digit of r(p)?
4
Let u be (82/(-3))/(10/(-15)). Let g = 7 + -4. Suppose 4*y = -k + u, 4*k + 1 = 2*y + g. What is the units digit of y?
9
Suppose 0 = -12*z + 2975 - 35. What is the units digit of z?
5
Let n be 7/3 - (-7)/(-21). Suppose n*k - 8 = -2*v + 4, 4*k - 5*v - 51 = 0. What is the units digit of k?
9
Let f be (1 + -2 + 0)*0. What is the units digit of 20 + (3 - f)/(-3)?
9
What is the hundreds digit of -2*-1*103/2?
1
Suppose 13*z - 994 = 6*z. What is the units digit of z?
2
Let v(n) = 0 + 19*n + 1 - 18*n + 35*n**2. What is the tens digit of v(-1)?
3
Suppose 12 = 3*q - 3. Suppose 5*h - 25 = 0, -q*h + 36 - 8 = w. Suppose -3*k + 41 = 5*o, -9 = -w*k + 4*o - o. What is the units digit of k?
7
Let q = -6 + 8. Suppose -q*y - y + 3 = 0. What is the units digit of (-1 - (-5 - -1))*y?
3
What is the units digit of 4/4 + (12 - 2)?
1
Suppose -2*k + 214 = -5*j - 2, j - 5*k = -57. Let o = -7 - j. Suppose 0*h - 5*h = -o. What is the units digit of h?
7
Let f be (-180 + 6)*1/(-3). What is the units digit of (-4)/6 + f/6?
9
Let j(m) = -7*m**2 - 4*m - 3. Let u(s) = 8*s**2 + 5*s + 4. Let q(t) = -5*j(t) - 4*u(t). Let n be q(1). What is the units digit of n*3 + (1 - 3)?
4
Let l(y) = y**2 - 6*y - 1. Suppose 4*v + 35 = z, 44 = -3*v - 2*v + z. Let w(i) = 2*i**2 - 12*i - 2. Let a(q) = v*l(q) + 4*w(q). What is the units digit of a(6)?
1
Let k = 6 - -4. What is the units digit of k - (-2 + 0 + 3)?
9
What is the tens digit of 1404/15 - 2/(-5)?
9
Let y(w) = w**2 + 5*w - 1. Let c be y(-4). What is the units digit of c/(-2) - 3/(-6)?
3
Let n(o) = -4*o + 15. What is the units digit of n(-6)?
9
Let b be (-6)/(-10) - 6/(-15). What is the units digit of -1 + 4 - (-1 + b)?
3
Let n be (4/(-5))/(1/(-45)). Suppose 0 = -2*h - 10 + n. What is the tens digit of h?
1
Suppose 3*i - o + 4*o - 12 = 0, 2*i + o - 9 = 0. Suppose 0 = -0*h + i*h - 20. What is the units digit of ((-6)/h)/((-1)/4)?
6
Suppose -4*u = -b - 45 - 83, -5*b = 0. What is the tens digit of u?
3
Let q = -5 - -7. Let u = 2 - q. Let g = u + 19. What is the units digit of g?
9
Let w(y) = -6*y - 13. What is the units digit of w(-8)?
5
Let h be (1 + (-21)/5)*-5. Suppose 0 = -13*q + h*q - 69. What is the units digit of q?
3
Let p = 131 + -14. What is the hundreds digit of p?
1
Let x = -42 - -109. What is the tens digit of x?
6
Let x(r) = r**3 - 3*r**2 - 3*r - 3. Let f be x(4). Let c be 0/(2/f + -1). Suppose 2 - 17 = -q + 2*t, c = 2*t + 8. What is the units digit of q?
7
Suppose -4*t + 0*t = 40. Let p = -6 - t. Suppose 26 = p*n - 2*r, -5*n - 5 = 6*r - r. What is the units digit of n?
4
What is the tens digit of (0 + 4)*33/6?
2
Let j(q) = -2*q - 8. Let c be j(-6). Suppose 0 = -k - 5*b - 12, 3*k - 3*b = 7 + 29. Suppose c*x - k = -0. What is the units digit of x?
2
Let l(q) = -q + 7. Let k be l(6). Let v = k + 18. What is the units digit of v?
9
Let j be (-25)/(-5) - (0 + 1). Let d(x) = j - x**3 + 4*x**2 + 2*x**3 + 3*x - x**3 + x**3. What is the units digit of d(-3)?
4
Let p be (-1)/(-2)*0/7. Suppose p*n = n - 13. What is the units digit of n?
3
Let r(b) = 29*b + 16. What is the tens digit of r(13)?
9
Let d be 19*-2*4/8. Let x = 42 + d. What is the units digit of x?
3
Suppose 1 + 6 = u. Let l = u + -5. What is the units digit of l?
2
Suppose -6*j = -3*j - 15. Suppose -2*m + 0*k + 6 = k, -j*m = 2*k - 14. What is the units digit of m?
2
Let o(p) = 2*p + 5. Suppose 3*g + 21 = 6*g. What is the tens digit of o(g)?
1
Let m = 6 - -12. Suppose r - m - 10 = 0. What is the tens digit of r?
2
Suppose 3*x - 291 = -0*x. Suppose 0 = 5*i - x + 7. What is the tens digit of i?
1
Let m(r) = r**3. Let c(k) = -3*k + 2. Let h(t) = c(t) + m(t). Suppose 3*o = 0, -2*s + 4*o = -2 - 2. What is the units digit of h(s)?
4
Suppose 0 = -3*b + 30 - 9. Let v = -3 + b. Suppose a + 42 = v*a. What is the units digit of a?
4
Let g(d) = d + 1. Let u be g(-2). Let b be 1/(-4) + u/(-4). Suppose b = 5*x - 72 + 2. What is the units digit of x?
4
Let s = -15 - -17. What is the units digit of s?
2
Let d = -80 + 256. What is the units digit of d?
6
Let a = -3 - -4. What is the units digit of a?
1
What is the hundreds digit of 269 + (3 - 57/15)*-5?
2
Let v be -2 - (612/3)/(-3). Suppose 2*x = -x + v. What is the units digit of x?
2
Let f(s) = -s**3 + 2*s**2 + 1. Let v be f(2). Suppose 0 = -2*x + 3 - v. What is the units digit of 1 - (-3 - x) - 3?
2
Let h be -4 + -20*5/(-10). Let t(g) = g**3 - g**2 + g + 1. Let f be t(-1). What is the units digit of 4/h + f/(-6)?
1
Let s(y) = y**2 - 8*y + 93. What is the hundreds digit of s(22)?
4
Let a be -1*1*(1 + -5). Let j(h) = h**3 - 4*h**2 + 3*h. Let l(z) = -1. Let w(q) = j(q) + 4*l(q). What is the units digit of w(a)?
8
Let z(p) = -5*p - 8. What is the tens digit of z(-5)?
1
Let n(t) be the second derivative of t**4/12 + t**3/6 + 5*t**2/2 - t. Suppose -w = -0*w. What is the units digit of n(w)?
5
Suppose 5*o - 1 - 14 = 0. What is the units digit of o?
3
Suppose 2*k = -k + 33. Let w(b) = 2*b + 4. What is the units digit of w(k)?
6
Suppose k = 5*a - 1 + 300, 2*k + 3*a - 585 = 0. What is the units digit of k?
4
Let x(t) = -t**3 + t**2 + 3. Let w be x(0). Suppose k - 6 = -5*h + 22, -h - 4 = -w*k. What is the units digit of h?
5
Let a = 19 - 13. Suppose j + a = 2*j. What is the units digit of j?
6
Suppose -5*v + 2*s = -162, 158 = -v + 6*v + 2*s. What is the units digit of v?
2
Let j(o) = -o**2 + 2. Let m be j(2). Suppose -5*q + 56 = -14. Let z = q + m. What is the units digit of z?
2
Suppose -2*c = -5*n - 196, -4*n + 252 = 4*c - 112. What is the units digit of c?
3
Suppose -5*u + 4*u + 55 = -4*d, 2*u - 99 = -3*d. Let q = u + -14. What is the tens digit of q?
3
Suppose -1 - 1 = 2*r. Let o be 10 - (0 + -1 - r). What is the units digit of (16/o)/(4/10)?
4
Suppose -2*d - 80 = -4*d. Suppose d = 3*l - 5. Suppose -2*s - l = -5*s. What is the units digit of s?
5
Suppose 0 = 4*p + 3*l + 23, l = -4*p - 7 - 14. Le