be b(-9). Suppose 5*p = y*p - 18. What is the units digit of 1/6 - (-231)/p?
3
Let j(x) = x**3 - 10*x**2 + 8*x + 12. Let k be j(9). Let m(p) be the first derivative of p**4/4 - 4*p**3/3 + 2*p**2 + p + 2. What is the units digit of m(k)?
4
Suppose -7*h - 25 = -12*h. Suppose 0 = y + 3 - h. What is the units digit of y?
2
Let a(y) = -y**3 + 4*y**2 + 8*y - 7. Let u be a(5). Suppose -s + 9 = -u. What is the units digit of s?
7
Suppose 6 + 6 = 6*x. What is the tens digit of 4 + (x - -27) + -2?
3
Let n(s) = s**3 + 7*s**2 + s + 8. Suppose 5*q - 20 = m + 12, 4*q - 55 = 5*m. What is the units digit of n(m)?
1
Let x be (-8 + -2)*(32/20 + -2). Let g(r) be the second derivative of r**5/10 - 5*r**4/12 - r**3/3 + 4*r**2 + 5*r. What is the units digit of g(x)?
8
Let d(j) be the first derivative of j**3 - 3*j**2 - 18*j + 17. What is the tens digit of d(-6)?
2
Let d = 800 - 624. What is the units digit of d?
6
Suppose 199 = a + m, -2*a = -m - 12 - 377. What is the units digit of a?
6
Let v be (1*(-20)/25)/((-2)/5). Suppose -4*t + 756 = v*t. What is the tens digit of t?
2
Suppose 2*m = -1740 - 680. What is the hundreds digit of m/(-15)*6/4?
1
Suppose 5*s + 2*l - 7 = 0, -16 = -5*s + l + 3. Suppose 0 = s*d - 0*d + 15, -3*d = -3*f + 42. Suppose b - f - 3 = 0. What is the tens digit of b?
1
Let m(f) be the first derivative of -f**2/2 + f - 1. Let d be m(-3). Suppose 27 = -b + d*b. What is the units digit of b?
9
Let r = 0 + -1. Let y be (r + 3 - 1)/(-1). Let n = 6 - y. What is the units digit of n?
7
Suppose 41*v - 33*v = 17848. What is the hundreds digit of v?
2
Suppose -2*v - 4*i = 3*v - 2532, -v + 512 = -2*i. What is the units digit of v?
8
Let a be 2/3 + (-16)/6. Let b be 0*(-1 - a)*-1. Suppose b = w - 3 - 5. What is the units digit of w?
8
Let k(w) be the third derivative of -w**6/60 + w**5/12 - w**4/12 - 2*w**3/3 + 28*w**2. What is the units digit of k(-3)?
1
Suppose 23 + 1 = -4*v. Let x(m) = -m**3 - 7*m**2 - 11*m - 13. What is the units digit of x(v)?
7
Let q be -3 - (-20)/(-1 + 0). Let d = q + 73. What is the tens digit of d?
5
Let t be (16/24*3)/(2/5). What is the tens digit of 13/(-2)*((-5 - t) + 4)?
3
Let f = -165 - -255. What is the units digit of f?
0
Let q = -65 + 149. Suppose -9 = 3*t + 3, 0 = -4*a + 4*t + q. What is the units digit of a?
7
Suppose -3*f - 4 = -13. Suppose -f*g + 5 = -10. Suppose -6*w = -w - g. What is the units digit of w?
1
Let g = -10 + 16. Suppose 10*y = 7*y + g. Suppose -y*m = 2*w - 34, 4*m - w - 14 = 34. What is the units digit of m?
3
Let v = -162 + 268. Suppose 0 = s, -4*f + 0*s + 2*s - 160 = 0. Let p = v + f. What is the tens digit of p?
6
Let g be -16*5/(-5)*(-38)/(-8). Suppose -r = -184 + g. What is the tens digit of r?
0
Suppose 0 = -2*t + 4*r + 7 + 3, 3*r = 2*t - 10. Let v = t + 19. What is the units digit of v?
4
Let s(f) = 34*f - 6. Let l be s(3). Suppose 0*x - 3*x + l = 0. What is the tens digit of x?
3
Suppose -10*r = -14*r + 8. Suppose r*t + 35 = 3*h + t, -5*t - 32 = -2*h. Suppose 0*q = q - h. What is the units digit of q?
1
Let j = -59 + -5. Let f = j + 150. Suppose 157 = 3*n - 4*u, 5*u - 82 = -4*n + f. What is the units digit of n?
7
Suppose -14 = 3*p - 2*d, 20 = -4*p + 4*d - d. What is the units digit of (-656)/(-40)*(-5)/p?
1
Let a = -11 - -11. Suppose a*l - 20 = 4*l. Let i(p) = -p**2 - 9*p - 3. What is the tens digit of i(l)?
1
Let l = 10 + -5. Suppose 0 = 3*a - 5*d + d + 11, d = -l*a + 20. What is the units digit of (35 - -3) + a*-1?
5
Let f be (3 - -7) + (-2 - -2*1). Let x(z) = z**3 - 10*z**2 + 7*z + 12. What is the units digit of x(f)?
2
Let t be (-21)/(2/(8/(-1))). Suppose 0 = 2*f - t - 128. What is the hundreds digit of f?
1
Suppose -4*c + 6 - 2 = -s, -5*s - 20 = -5*c. Let x(g) = 3*g**2 + 8*g + 8. What is the tens digit of x(s)?
2
Let z be ((-8)/10)/(8/40). Let g be z/(-10) - 10/25. Suppose g = -t - 3*t + 100. What is the units digit of t?
5
Let x be ((-6)/(-5))/(6/(-180)). Let s = 23 - x. What is the tens digit of s?
5
What is the units digit of (-1 + -1)*1 + 1263 + 9?
0
Suppose -12*j + 64 = -92. Suppose 0 = 3*d - 8 - 1. Suppose 5*q + 5*b = 45, j = -0*q + q + d*b. What is the units digit of q?
7
Let q be -3 - (2 + -1)*3. Let u be ((-34)/q)/((-6)/(-108)). Suppose -f + 47 = -5*x + 217, 0 = 3*x + 3*f - u. What is the tens digit of x?
3
Suppose -5*q + i = -102, q - 5*i + 3 = 33. Suppose -2*y + 2*w = -302, -4*w = y - q - 106. What is the hundreds digit of y?
1
Suppose 3*f = m + 11, 0*f + 5*m - 2 = -4*f. Let q = f + 3. Suppose q*r - r - 415 = -4*u, -5*u - 291 = -4*r. What is the units digit of r?
9
Suppose -3*d + 390 = -3*i, 12*i = 15*i + 3. What is the hundreds digit of d?
1
Let x = 11 + 8. Let t be (-1)/(-1)*(x + 1). What is the tens digit of (22/5)/(4/t)?
2
Let g(o) = -2*o**2 + 10*o + 5. Let i be ((-1)/(-5))/((-2)/(-50)). What is the units digit of g(i)?
5
Suppose -3*y - 5349 = -3*f, 0 = -2*f + 6*f - 2*y - 7140. What is the tens digit of f?
8
What is the tens digit of (-6)/8 + 5 + 12536/32?
9
Suppose -2 + 22 = -5*n. What is the tens digit of (n - -8) + 33*1?
3
Let z(v) = 3*v - 2*v - 6*v**2 + 4 + 5*v**2. Let f be z(0). Suppose -5*j + 235 = -a, 5*j - 19 = f*a + 201. What is the tens digit of j?
4
Let c(d) be the first derivative of 4*d**3/3 - 11*d**2/2 + 6*d - 8. What is the units digit of c(4)?
6
Let v be (-1 + (-21)/9)/((-2)/21). What is the units digit of 8*(42/v)/((-4)/(-10))?
4
Suppose -23980 = -21*m - m. What is the units digit of m?
0
What is the units digit of 888 - ((-3)/18 + 4/24)?
8
Let l be (-3)/(-5)*(-110)/(-11). Suppose 0*t - 2352 = -6*t. Suppose -t = -a - l*a. What is the tens digit of a?
5
Suppose 0 = 5*d + 15, o - 5*d + 1811 = 3*o. What is the hundreds digit of o?
9
Suppose -8*d = -3*d. Let s be -3 + d + 2 - -56. Suppose 4*o + o - j = 101, 3*o = 2*j + s. What is the units digit of o?
1
Suppose -10*o + 12702 + 588 = 0. What is the units digit of o?
9
Let d(x) = 2*x + 5. Let t = 7 - -2. Let b = t + 0. What is the units digit of d(b)?
3
Let m = 623 + -229. What is the hundreds digit of m?
3
Suppose -3*h + 5 + 1 = 0. Suppose 0 = 3*u + h*u + 10, -2*u - 10 = -3*j. Suppose 2*p - j*i - 38 = -12, p = -i + 13. What is the units digit of p?
3
Let n(z) = 184*z**3 + 3*z**2 + z - 3. Let p(c) = -367*c**3 - 7*c**2 - 2*c + 7. Let a(m) = -9*n(m) - 4*p(m). What is the hundreds digit of a(-1)?
1
Let u be (2/5)/(12/120). Suppose x - u*f - 159 = 0, 5*x + 257 - 1140 = -2*f. Suppose 4*p - 5*a = -0*p + x, 12 = -4*a. What is the tens digit of p?
4
Suppose 4*d - 12 = 20. Suppose d = -4*u + 24. Suppose 2*n + 4*q - 22 = 0, -u*n - n - q + 55 = 0. What is the tens digit of n?
1
Let r(o) = 7*o - 2. Let g be r(2). Suppose 0 = -g*i + 8*i + 496. Suppose -4*y + i = -96. What is the tens digit of y?
5
Suppose 2*g - 16 = -4*u, 3*g = -2*u + 13 + 3. Suppose -u*a + 63 = a. Suppose i - 5*q + 1 = 2*i, -i + a = q. What is the tens digit of i?
2
Let w(u) be the first derivative of -u**4/4 + 2*u**3 - 2*u**2 + 9*u - 1. What is the units digit of w(4)?
5
What is the tens digit of (-6)/5*-1040*(-7)/(-21)?
1
Suppose 2*j = 180 + 12. What is the tens digit of (-1)/(6/(-112)) - 64/j?
1
Suppose 7*z - 12*z - 35 = 0. Let g = -8 - z. What is the units digit of g - (19/(-1) - -1)?
7
Suppose -4*i - 87 = -99. Suppose -8*f - i*f + 2178 = 0. What is the hundreds digit of f?
1
Let k(b) be the first derivative of b**2/2 + 17*b - 8. What is the units digit of k(13)?
0
Suppose 27*k + 7245 = 38214. What is the units digit of k?
7
Suppose 0 = 51*i - 58*i + 20384. What is the units digit of i?
2
Suppose -5*a = -3*x - 332, 2*a = -3*a - 5*x + 340. Let v = a - -8. What is the tens digit of v?
7
Suppose 2*n + 93 = -o + 537, -2*o + 3*n + 874 = 0. Let f = 622 - o. What is the hundreds digit of f?
1
Let w(v) be the first derivative of -v**3/6 + 9*v**2 + 10*v + 9. Let y(i) be the first derivative of w(i). What is the units digit of y(5)?
3
Suppose 2*d + 31 = -0*p + 3*p, 0 = 3*d + 2*p + 14. Suppose 0 = -3*o - 2*r + 45 - 389, -o - 128 = 4*r. What is the tens digit of ((-6)/(-4))/(d/o)?
2
Suppose 0*d - 2*d + 6 = 0, 0 = 2*j + 5*d - 87. What is the units digit of j*(55/15 + -3)?
4
Suppose g = 3*c + 9, -17 = -2*g + 3*c + 2*c. Let v = -6 + g. Suppose 5*r - 44 - 51 = v. What is the units digit of r?
9
Let d be ((-78)/4)/((-3)/(-4)). Let p = d + 86. Suppose l + l - 32 = 2*x,