15. What is the units digit of p(r)?
7
Let j(g) be the second derivative of -g**3/6 + 5*g**2/2 + 17*g. Let p be -1 + 18/(-2) + -1. What is the units digit of j(p)?
6
Let n(u) = -5*u. Let o be n(-1). Suppose -3*a - 36 = g, -o*g - a = a + 128. What is the units digit of (-10)/(-8) - (-6)/g?
1
Let f(r) = r**3 + 2*r**2 + 4*r - 1. What is the units digit of f(3)?
6
Suppose 4*y = -2*h + 370, y + 3*y - 3*h = 395. What is the tens digit of y?
9
Let z be (-21)/(-3)*(-2)/(-7). Let k(g) = -2*g**2 - z + 6*g**2 - 5*g**3 + g + 4*g**3. What is the units digit of k(4)?
2
What is the units digit of (-11)/(-3) - 6/(-18)?
4
Suppose -116 = 8*u - 3236. What is the tens digit of u?
9
What is the tens digit of (119/(-21))/((-1)/57)?
2
Suppose 5*b - 13 - 37 = 0. Let m be -94*(2 - b/(-4)). What is the units digit of (-4)/18 - m/81?
5
Let z(d) = -d - 7. Suppose 2*h + 10 + 2 = s, -5*s + 35 = -5*h. Let t be z(h). Let a = 6 - t. What is the units digit of a?
8
Let w = -1 + -2. Let y be (-160)/28 - (-8)/(-28). What is the units digit of y/w - (-1 - -1)?
2
Let t = 7 - 4. Suppose -t*r = r - 36. Suppose j = -2*i - 4*j + r, i = -5*j + 7. What is the units digit of i?
2
Suppose 0*p + 3*p - 69 = 0. What is the units digit of (-3)/4 + p/4?
5
Let n(a) = -14*a - 25. What is the units digit of n(-7)?
3
Let v(i) = 16*i**3 + i**2. Let k be v(-1). What is the units digit of 5/(k/(-12))*6?
4
Suppose 4*q - 20 = 4*w, 5*q - 4*w = -2*w + 22. Suppose 0 = -x + q + 18. What is the tens digit of x?
2
Suppose 4*j - 2*j - 28 = 0. What is the units digit of j?
4
Suppose 2*g + 2*u - 90 = 0, 3*u + 8 = -u. What is the units digit of g?
7
Suppose -280 = -0*q - 5*q. What is the tens digit of q?
5
Suppose -8*n - 1692 = -12*n. What is the units digit of n?
3
Let s = 123 - 75. Suppose s = 3*v - 12. Suppose 2*k + v = 4*k. What is the tens digit of k?
1
Let p(z) = -8*z**3 - 4*z**2 - 2*z + 2. What is the tens digit of p(-2)?
5
Let v be 44/((4/6)/(-1)). What is the units digit of 251/11 + (-12)/v?
3
Let b = -28 - -50. What is the tens digit of b?
2
Let i(l) = 3*l**2 - 3*l + 1. Let p be i(2). Suppose -r + 9 = 2*a, a + 0*a - 1 = 3*r. Let x = p + a. What is the tens digit of x?
1
Let g(p) = p**2 - 2*p + 12. What is the units digit of g(8)?
0
Let y(v) = -v**3 - 12*v**2 + 5. Let n(d) = d**3 + 11*d**2 - 4. Let s(b) = 5*n(b) + 4*y(b). Let c be s(-7). What is the units digit of c + 0/(-2) - -6?
6
Let x = -34 + 73. What is the units digit of x?
9
Suppose 0 = -4*z - o + 116, 0*o + 3*o + 132 = 4*z. What is the tens digit of z?
3
Let u = -11 + 20. Let f = 7 + u. What is the units digit of f?
6
Let y(o) = 0 + 0 + o**3 + 2*o**2 + 3*o - 6*o + 1. Suppose -3*l + 10 = 4. What is the tens digit of y(l)?
1
Let x(c) = -2. Let d(t) = 1. Let s(p) = 5*d(p) + 2*x(p). Let w(z) = -z + 17. Let u(g) = -3*s(g) + w(g). What is the units digit of u(7)?
7
Let i be (-57)/(3 + (-27)/6). Let w = i - 12. What is the units digit of w?
6
Let v = -11 - -54. What is the units digit of v?
3
Let r(c) = -c + 7. Suppose 0 = 3*d - 3 - 9. Let h be r(d). Suppose -6 + 0 = -h*v, 0 = 4*w - 2*v. What is the units digit of w?
1
What is the units digit of 97/2 - 3/6?
8
Suppose 32 = 6*w - 2*w. Let c(l) = -l**2 + 8*l + 9. What is the units digit of c(w)?
9
Let w be 3/(3/(-12) + 1). Suppose 9 = n + w*k - 10, 2*k = -4*n + 76. What is the tens digit of n?
1
Suppose -3 = -c - 0. Let v = -2 + c. Let n = 0 + v. What is the units digit of n?
1
Suppose 494 = 37*c - 35*c. What is the tens digit of c?
4
Suppose 3*q - 97 = -2*z, 52 + 16 = z - 5*q. What is the tens digit of z?
5
Suppose 16*l - 17*l = -14. What is the tens digit of l?
1
Let c be 2/1 - (-10 + -53). Let n = c + -43. What is the tens digit of n?
2
Let k(t) = 6*t**2 - t + 1. Let l be k(1). What is the units digit of (l/4)/((-6)/(-80))?
0
What is the units digit of (-156)/(-13) + 0 + 3?
5
Let g(o) = -6*o - 62. What is the units digit of g(-11)?
4
Let y be (-148)/(-10) + 3/15. Suppose -16 - y = -o. What is the units digit of o?
1
Let u(l) = l**3 + 15*l**2 - 3*l - 25. What is the tens digit of u(-15)?
2
Suppose -3*y + 5 = -1. What is the units digit of y/(-7) + (-384)/(-21)?
8
Suppose 6*z - 408 - 342 = 0. What is the hundreds digit of z?
1
Suppose -76 = -2*s - 4*v, 4 = -2*v + 4*v. What is the units digit of s?
4
Let g(h) be the third derivative of -h**6/120 + 11*h**5/60 - h**4/4 - 13*h**3/6 - 5*h**2. What is the units digit of g(10)?
7
Suppose -107 = -2*z - 7. What is the units digit of z?
0
What is the units digit of (-22)/(-10) - 2/10?
2
What is the units digit of (-1)/3 + (-545)/60*-4?
6
Let a be (-2)/8 - 4/(-16). Suppose a = -t + 6*t - 35. What is the units digit of t?
7
Let x(a) = a**3 + 7*a**2 - a + 8. Suppose 2*v + 35 = -3*v. Let w be x(v). Suppose d = 4*d - w. What is the units digit of d?
5
Suppose 2*t + 96 = 5*t. Suppose i - t = -i. What is the tens digit of i?
1
Let a = 3 + 0. Suppose -7*f + 4*b = -3*f - 16, -a*b = f. What is the units digit of ((-1)/f)/((-3)/81)?
9
Let s = -73 - -183. What is the hundreds digit of s?
1
Suppose -y + 30 + 17 = 0. What is the units digit of y?
7
Let c be (6 + -3)/(-1) - -104. Let d = c + -56. What is the tens digit of d?
4
Suppose -6*p + 6 = -4*p. Suppose -8*j = -p*j - 80. What is the tens digit of j?
1
Suppose -2*f - 40 = -3*f. What is the units digit of f?
0
What is the units digit of (-4)/(-1) + -4 + 8?
8
Let z(k) = k - 3. Suppose 5*n - 57 = -7. Let g = 15 - n. What is the units digit of z(g)?
2
Let s(n) = -n**2 - 6*n + 1. Let c be s(-5). Suppose -2*h - 38 = -c*h - 2*j, -3*j + 2 = h. What is the tens digit of h?
1
Let q = 13 + -18. Let d(o) = -9*o**2 - 7*o + 5. Let v(n) = 4*n**2 + 4*n - 3. Let i(c) = 2*d(c) + 5*v(c). What is the units digit of i(q)?
5
Let f be -3 - (3 - 3 - -3). Let r be (-8)/(-10) - 2/(-10). What is the units digit of (-3)/f - r/(-2)?
1
Let z be (-2)/6 + 92/6. Let a be (z + 0)*(-3 - -4). What is the units digit of 18/a*10/3?
4
Let y(q) = q**3 + 8*q**2 + 2. Let j(p) = -2*p**2 + 7*p - 4. Let g = 7 + -3. Let b be j(g). What is the units digit of y(b)?
2
Let v(k) be the second derivative of -k**5/20 + 5*k**4/12 - k**3/3 - 3*k**2/2 + 3*k. Suppose b + 4*b = -4*h + 16, -2*b = h - 7. What is the units digit of v(b)?
5
What is the units digit of (-9)/9*1*-25?
5
Let g(h) = 4*h - 2. Suppose 4*z - 6 = 5*p, -3 = -2*p + 2*z - 7. What is the units digit of g(p)?
6
Suppose 3*w - 947 + 102 = -r, w - r - 279 = 0. What is the units digit of w?
1
What is the hundreds digit of (61/3)/((-3)/(-18))?
1
Let t(b) be the first derivative of b**4/4 + 11*b**3/3 + 5*b**2 - 13*b - 1. Let v be t(-9). Suppose 0 = 5*u - v + 14. What is the units digit of u?
9
Let a(u) = -u**2 - 13*u - 4 - 1 - 7. Let x be a(-8). Suppose -3*h = 5*k - x, 3*k - k - 5*h - 36 = 0. What is the units digit of k?
8
Suppose -m = 0, -x - 3*x + 3*m = 0. Suppose 1 = 3*g - 3*f + f, 0 = 4*g - 2*f - 4. Suppose t - g*t + 16 = x. What is the units digit of t?
8
Suppose -15 = -4*o + 17. Suppose 3*r + 4*i + 3 = 0, 2 - 7 = 5*r - 3*i. Let d = r + o. What is the units digit of d?
7
Suppose k = 2*a - 1, -2*a + 19 = -0*a + 5*k. Suppose -a*b + 5*b - 48 = 0. What is the tens digit of b?
1
Suppose 3*m + 2*m + c = 458, -180 = -2*m - 2*c. What is the units digit of m?
2
Suppose -3*m - 2*v = -18, -2*v = m - 4*v - 6. What is the units digit of m?
6
Let o be (65/20)/((-2)/(-8)). Let c = o - -2. What is the tens digit of c?
1
Let f = 25 - 14. What is the units digit of f?
1
Let o be (1/2)/((-1)/(-14)). Let u(y) = 7*y + 1. Let s(r) = -8*r - 1. Let p(c) = o*u(c) + 6*s(c). What is the units digit of p(7)?
8
Let w(u) = -u**2 + 5*u + 3. Let k be w(5). Suppose 6*d = k*d + 4*a + 47, -40 = -5*d - a. What is the units digit of d?
9
Let v(d) = 30*d - 5. What is the tens digit of v(2)?
5
What is the units digit of (19/(-2))/(13/(-234))?
1
What is the units digit of 25*1/(-5)*-18?
0
Let r(i) = 6*i**2 - 3*i + 2. Suppose -o - 10 = -3*p + 3*o, 0 = -2*p - 2*o + 2. What is the units digit of r(p)?
0
Let f be 2*9/(-6) - -39. Suppose 5*k - 2*k = f. What is the tens digit of (-82)/(-8) - 3/k?
1
Let u be ((-6)/3 - -2)/2. Suppose -3*n - 2 + 5 = u. What is the units digit of n?
1
Let w = -13 - -19. Let f = w + -5. Suppose f + 3 = p. What is the units digit of p?
4
Suppose r = -2*r. Suppose n + 4*j - 19 = r, -n = 3*j - 19 + 2. What is the tens digit of n?
