- 20. Let a be j(y). Let p = 24 + a. What is the units digit of p?
1
Let s(p) be the first derivative of -3*p**2 - p + 4. What is the units digit of s(-2)?
1
Let q(l) = -l**3 - 7*l**2 - 8*l + 4. Let b be q(-6). Let g = -11 + b. Suppose 2*p = 11 + g. What is the units digit of p?
8
Suppose -2*g + 4 + 22 = 0. Let n = g - 9. What is the units digit of n?
4
Let x(f) = 6*f**2 + f + 1. Let z be x(2). Let m = -18 + z. What is the units digit of m?
9
Let m be (-4)/6 + (-105)/(-9). What is the units digit of 4 + -6 - m*-1?
9
Let b(f) = -f**2 - 4*f. Let c be b(-4). Suppose 5*m - 5*j = 70, c*j - 54 = -5*m + j. What is the tens digit of m?
1
Suppose n - 25 - 50 = 4*w, -471 = -5*n - 4*w. What is the tens digit of n?
9
Let d be (-52)/3 - 2/3. Let n be 370/45 + 4/d. Let f(b) = 2*b - 8. What is the units digit of f(n)?
8
Let q be (-3)/(-3 + 0)*2. Let i(o) = 8*o + 1. What is the tens digit of i(q)?
1
Let u = -34 - -23. Let r = 18 + u. What is the units digit of r?
7
Suppose 0 = 2*t - 306 - 134. Let x be t/6 + 4/(-6). Suppose -3*s = -0*s - x. What is the units digit of s?
2
Suppose 2*u + 2 - 12 = 0. Let p be u*10/2*1. Suppose -6*l + p = -2*l + 5*h, -47 = -5*l - h. What is the tens digit of l?
1
Suppose -66 = 3*d + 9. Let n = -17 - d. What is the units digit of n?
8
Suppose 2*r - 12 = -4*r. Suppose -2 = -r*z + 6. What is the units digit of z?
4
Suppose 0 = -5*p - 10, -3*p + 42 = 2*u + u. Let z = 26 - u. Suppose -2*v - b + z = -23, -5*v + b + 86 = 0. What is the tens digit of v?
1
Let t(x) = 6*x**2. What is the units digit of t(-1)?
6
Suppose 2*w = -3*c - 8, -4 = -w + 3*c + 10. Suppose -w*l + 19 = -25. Let s = l + -10. What is the tens digit of s?
1
Let z = 5 + 0. Let a be z - (-2 - -1 - -1). Suppose -a*m - 13 = -4*g + 10, 2*m = -4*g + 2. What is the units digit of g?
2
Let i(d) = -2*d**2 + d + 6. Let g(r) = 3*r**2 - r - 11. Let o(f) = -3*g(f) - 5*i(f). Let a be o(2). What is the units digit of -2 - 1/(a/(-27))?
7
Let l be 1/5 + (-9)/(-5). Suppose -6 = -5*c - t + 5, 5*c - l*t = 8. Suppose 4*n - 2*n - c = 0. What is the units digit of n?
1
Let r(g) = -3*g + 3. What is the units digit of r(-4)?
5
Suppose 7*j - j = 696. What is the units digit of j?
6
Suppose 2*w + 18 = -2*c - 0*w, -4*w - 8 = -3*c. Let f be (-27)/(-6) + (-2)/c. Suppose 0*u - 3*u + 66 = f*m, 5*m - 3*u - 54 = 0. What is the tens digit of m?
1
Suppose -130 - 86 = -8*k. What is the tens digit of k?
2
Let h(n) = -n**3 + 10*n**2 - 7*n + 13. What is the units digit of h(9)?
1
Let q(h) = -h**2 + 12*h - 15. What is the units digit of q(10)?
5
Let k(t) = 4*t**2 + 6*t - 1. What is the tens digit of k(-5)?
6
Suppose -2*c = 3*c - 40. Suppose 3*s - 55 - c = 0. What is the tens digit of s?
2
Suppose -2*y + 6*y = 48. What is the tens digit of y?
1
Suppose -2*o + 4 = -0*o. Suppose o*n - 5*n + 36 = 0. What is the tens digit of n?
1
Let f(a) = 27*a**2 + 2*a + 1. Let j be f(-1). Suppose 3*u - 241 = -46. Suppose 4*z + u = 5*o, 5*z - 3*z + j = 2*o. What is the units digit of o?
3
What is the tens digit of -9*(5 + (-352)/12)?
1
Let j be (-9)/(-6)*4/3. Suppose -3*y = j*m - 39, 40 = 4*y - m - 12. What is the units digit of y?
3
Let y be 258/6 + -2*1. Let o = y + -21. What is the tens digit of o?
2
Let u = 1 - -3. Suppose -u*s + 200 = -0*s. Suppose s = 4*f + 18. What is the units digit of f?
8
Let n(t) = 2*t + 7. Suppose 0 = 3*o - 11 + 2. What is the tens digit of n(o)?
1
Let q(i) = -2*i + i + 4 - 2. Let n = -13 - -7. What is the units digit of q(n)?
8
Let m(q) = -q + 3*q + 9 - 1. What is the tens digit of m(4)?
1
Let p be (46/(-4))/((-2)/4). Suppose 5*k = 4*v - 9*v + 60, 3*k = -2*v + p. What is the tens digit of v?
1
Let g = 0 + 3. Suppose 10 = -3*u - t + g, 2*t = -2. What is the units digit of u - (1/(-1) + -3)?
2
Suppose 4*s - 6*s = 0. Let z(l) = -2*l**3 + 2*l**2 + l + 2. Let o be z(-2). Suppose 2*b + b - o = s. What is the units digit of b?
8
Suppose -b = -3*t - 200, -85 = -3*b + 4*t + 530. What is the hundreds digit of b?
2
Suppose 4*v = -v - 60. Let x = -27 - v. Let h = -11 - x. What is the units digit of h?
4
Let z(x) be the second derivative of x**4/12 - x**3 + x**2/2 - 3*x. What is the units digit of z(7)?
8
Suppose 4*f + 11 = -q, -3*f + q - 2 = 3*q. Let w = 1 + f. Let b(r) = r**3 + 4*r**2 + 4*r + 4. What is the units digit of b(w)?
1
Let u(k) = 4*k**2 + k + 1. Let o = -7 - -5. Let f be o/4 - (-4)/(-8). What is the units digit of u(f)?
4
Let h be -12*(4/(-3))/4. Suppose -10 = b - v - 4*v, -5*b - v = -54. Let d = b - h. What is the units digit of d?
6
Let f be (1 - -15)/(8 - 6). What is the tens digit of 86/6 - f/(-12)?
1
Suppose -3*b - 141 = -1254. What is the tens digit of b?
7
Suppose 13 + 2 = 5*x. Suppose 3*v = -3*q + 33, -x*q - 38 = -2*v - 6. What is the tens digit of v?
1
Let y be -65 + (-1 - 1*-3). Let o = y + 30. What is the units digit of 3/12 - o/12?
3
Suppose 0 = n + 4*b - 13, -n - 3 = 2*n - 2*b. Suppose 5*x = -3*q - 8, -q - 3 - n = 3*x. Let v = x - -3. What is the units digit of v?
2
Let b = -3 + 5. Let w(o) = 2*o**3 - 24 - o + 0*o**3 + 45 - 2*o**2 - 23. What is the units digit of w(b)?
4
Let q(i) = i**2 + i + 1. Let g be q(-1). Let r be g + -4 - 15/1. What is the units digit of (r/(-5))/((-10)/(-25))?
9
Let x = 22 - -34. What is the tens digit of x?
5
What is the tens digit of (4/(48/(-9)))/(1/(-48))?
3
What is the tens digit of ((-86)/10)/1*-5?
4
Let b(d) = -d**3 + d**2 - d + 2. Let l be b(0). Suppose 3*t - l*t = 9. What is the units digit of t?
9
Suppose -11*g + 12*g = 82. What is the units digit of g?
2
Suppose 3*h + 69 = 3*g, -38 = -2*g - h + 5*h. Suppose 4*x + g = -13. What is the units digit of ((-16)/10)/(x/25)?
4
Let o = 5 + -3. Suppose 2*r = 5*u - 51, -o*r + 26 = -u + 3*u. What is the tens digit of u?
1
Let n(c) = -c**2 + c + 1. Let a(m) = m**3 - 11*m**2 + 11*m + 12. Let z = -5 - -1. Let t(p) = z*n(p) + a(p). What is the tens digit of t(6)?
1
Let v be -1 + 1 - (-1 + 4). Let p = v - -3. Suppose p = -2*o + 6. What is the units digit of o?
3
Let s(c) = -65*c - 4. What is the units digit of s(-3)?
1
Let r(b) be the second derivative of -b**4/12 + b**3/6 + b**2 + 3*b. Let q be r(0). What is the tens digit of q - 4/(12/(-33))?
1
Let v be ((-1)/(-2))/(2/28). Let z(q) = -q**2 - q. Let r be z(-2). Let l = v + r. What is the units digit of l?
5
Suppose -4*a = -2*s - 22, -2*a = 5*s + 6 + 1. Suppose -3*d + 5 + a = 0. What is the units digit of d?
3
Let c(p) = p**2 + p. Let w(m) = -3*m**2 - 8*m + 4. Let b(d) = 4*c(d) + w(d). What is the units digit of b(6)?
6
Suppose 0*c - 4 = -2*c. Suppose -p + 10 = c*r, p + 3*r + 5 = 2*p. What is the units digit of p?
8
Let x be 1/((-10)/(-28))*10. What is the units digit of (-21)/x*(-64)/2?
4
Suppose -12 = -2*s - 4. Let l be (2 + (-2)/s)*-2. Let h(o) = o**3 + 4*o**2 - o - 1. What is the units digit of h(l)?
1
Let s(j) = 2 + 2*j - 4*j + 3*j. What is the units digit of s(7)?
9
Let g(z) = 12*z**2 - z - 1. Let p be g(2). Suppose 5*s = 4*d + p, s = 3*s + 2*d. Suppose -2*h + 32 = 4*n - h, -s*n = -h - 31. What is the units digit of n?
7
Suppose -461 = -3*d - 5*s, -s + 196 = -3*d + 633. What is the hundreds digit of d?
1
Suppose 4 - 1 = 3*g. Let q = g - -3. Suppose -q*x = -2 - 2. What is the units digit of x?
1
Let i(z) = z**2 + 9*z - 7. Let m be i(-10). What is the units digit of (1 - (5 - m))*-11?
1
Let l(v) = 1 + 8 + 2*v - 3. Let p be l(6). Suppose -2*a + p = o, -a - 3 = -3*o + 2. What is the units digit of a?
7
What is the units digit of (-3 + 0)*1 - -24?
1
Suppose 0 = 8*p - 4*p - 8. What is the units digit of (5/2)/5*p?
1
Let f be (-153)/18 - 1/2. What is the units digit of 3*-1*96/f?
2
Let l be (3*-1)/((-15)/(-170)). Let f = -24 - l. What is the tens digit of f?
1
Suppose 15 = -o - 4*o. What is the tens digit of ((-39)/(2 + o))/3?
1
Suppose z = 2 - 4. Let h = z + 0. What is the units digit of 4 - (1 + h - -2)?
3
Let i be (-6)/(-27) + 29/(-9). Suppose 3*s + 0 - 22 = -2*u, s - u = 4. Let o = i + s. What is the units digit of o?
3
What is the tens digit of -4*(3 - 87/6)?
4
Let r(z) = -z + 14. Let t(v) = -1. Let b(s) = r(s) + t(s). What is the units digit of b(7)?
6
Suppose 0 = 5*r + 15, -4*y - y - 5*r + 15 = 0. Let c = -3 - y. What is the units digit of 6*(c/(-6) + 0)?
9
Let f(b) = -2*b**3 - 39*b**2 + 4*b + 15. What is the tens digit of f(-20)?
3
Let b(d) = -d + 3. Let l(