 + m + 1. Let z(w) be the first derivative of y(w). What is the units digit of z(-3)?
2
Suppose 0*k = -4*k + 152. What is the units digit of k?
8
Suppose -3*r - 4*d = -8*d - 23, -2*r + 4*d + 18 = 0. Suppose 2*v + 2*l = 10, -5*v - l + r = -3*v. Suppose v*t + t - 5 = 0. What is the units digit of t?
5
Suppose 204 = -9*k + 11*k. Suppose -q - q = -k. What is the units digit of q?
1
Let c = 25 - 5. Let d = 33 - c. What is the units digit of d?
3
Let l(u) = u**3 - u**2 - 2*u + 46. What is the tens digit of l(0)?
4
Let a = 3 + 1. Suppose 4 = -4*w, 8 = -a*t + 2*w - 2. What is the units digit of (-1 - t) + -1 + 5?
6
What is the tens digit of (90912/(-66))/(-8) + 4/(-22)?
7
Suppose 0 = -5*w - 5, 2*w = -f + 3*f - 188. What is the tens digit of f?
9
What is the units digit of (3 + 0 + -2)/(2/380)?
0
Let s = 75 - -119. What is the hundreds digit of s?
1
Let u be 279/6*(-2 + 4). Let r = u + -63. Suppose o - 6*o = -r. What is the units digit of o?
6
What is the units digit of ((-3)/(-12))/((-1)/(-1516))?
9
Suppose -4*n = -12, 0*k - k - n - 8 = 0. What is the tens digit of -3 - (2 + 2*k)?
1
Let c(o) = 5*o**2 + 5*o + 4. What is the units digit of c(-3)?
4
What is the units digit of ((-10)/2)/((-2)/38)?
5
Suppose -3*j - 1 = -19. What is the units digit of j?
6
Let r(h) = 15*h - 20. Let k(n) = 7*n - 10. Let l(b) = -13*k(b) + 6*r(b). What is the units digit of l(5)?
5
Let n be (-3)/(-18) - 358/(-12). Suppose 2*g = -6 + n. What is the tens digit of g?
1
Suppose -4*x = -2*s - 20, 4*s = -x + 2*x - 33. Let t be s*(0 + 1/(-1)). Let p = 14 - t. What is the units digit of p?
6
Suppose 5*a + 19 = 89. What is the units digit of a?
4
Suppose 4*c - y = 991 + 66, -4*c = -3*y - 1059. What is the tens digit of c?
6
Suppose -9*z + 81 = -6*z. What is the units digit of z?
7
Let p = 4 + -6. What is the units digit of 1/(((-2)/3)/p)?
3
Let q(d) = 9 + 6*d + 7*d + d**2 - 6*d. What is the units digit of q(-9)?
7
Let j = -1 - -4. Suppose 2*c + 3*k - j = 0, 4*c + 4*k = 17 - 5. What is the units digit of c?
6
What is the tens digit of 136/16 - 8 - (-1046)/4?
6
Let l(z) = z**2 + z - 13. Let m be l(-6). Suppose -t + 3 = 12. Let i = m + t. What is the units digit of i?
8
Suppose -3*g - 30 = -8*g. What is the units digit of (6 + -3)*20/g?
0
Suppose -5*m = -2*m - 132. What is the tens digit of m?
4
Suppose 1 = -2*m + 51. What is the units digit of m?
5
Suppose -21 + 166 = 5*f. Suppose -2*n + 9 = -f. What is the units digit of n?
9
Let g(t) = t**3 - 4*t**2 - 3*t - 2. Let a be g(5). Let f = a - 5. Suppose -f*b + 2*u = -8, -2*u = 2*u - 20. What is the units digit of b?
6
Suppose 12 = k - 31. Suppose l = -1, 0*j = 3*j + 2*l - k. What is the units digit of j?
5
Let z(n) = -n - 3. Let f(x) = x**2 + 3*x + 1. Let a be f(3). Suppose -a = 5*l + 1. What is the units digit of z(l)?
1
Let d(l) = -l**3 + l**2 + l + 1. What is the units digit of d(0)?
1
Suppose 7*b - 2*b - 15 = 0. Let n = -3 + 5. Suppose -5 = -2*h - d, 4*h + b*d + n = 7. What is the units digit of h?
5
Let t(s) = s**3 + 8*s**2 - 9*s + 12. Suppose 0 = -2*p - 18. Let k be t(p). Suppose -4*g + 4*d + 0 = k, 0 = -g - d + 5. What is the units digit of g?
1
Suppose 25 = 4*d - 11. Let i(y) = -y**2 + y + 2. Let p(j) = -j - 1. Let v(n) = -i(n) + 6*p(n). What is the tens digit of v(d)?
1
Suppose 2*a = -5*m - 22, -7*m - 25 = 5*a - 2*m. Let z(q) = 13*q**2 + q. What is the tens digit of z(a)?
1
Let y be 39 - (-2 + 2 + -3). Suppose 0 = -6*k + 3*k + 3*l + y, 2*k + l = 43. What is the tens digit of k?
1
Suppose -7*t + 64 = -3*t. Suppose 4*d = -0*d + t. What is the units digit of (1/2)/(1/d)?
2
Let p(k) = -k**3 - k**2 + k + 2. Let s be p(-2). Suppose 6*h - h = g + 82, -s*h + 65 = -g. What is the tens digit of h?
1
Let g be 6/8*-1*-8. Let h = g + 64. Suppose -9*n = -4*n - h. What is the tens digit of n?
1
Let j be 5/(-2 - (-1 + -2)). Let t = -9 - -24. Suppose 0 = -6*s + j*s + t. What is the tens digit of s?
1
Let m(o) = -o**2 - 12*o + 12. What is the units digit of m(-9)?
9
Let a be (1 + -1)/(0 - 2). Let i be 2/(-2) - a - 0. What is the units digit of -1 + 2*(-6)/i?
1
Let w(j) = 2*j - 3*j**2 + 6 - 9*j + 4*j**2 - 2*j**2. What is the units digit of w(-7)?
6
Let a = 108 + -88. What is the tens digit of a?
2
Let j = -4 + 3. Let m = 5 + 10. What is the units digit of j/(2 + (-33)/m)?
5
Let h(j) = -j**2 - j + 1. Let u(k) = -2*k**2 - 4*k - 18. Let q(l) = 3*h(l) - u(l). What is the units digit of q(0)?
1
Let h(v) = 359*v**2 + 2*v + 4. What is the tens digit of h(-1)?
6
Let q = 4 - 4. Let i(a) = a**3 + 1. Let d be i(q). What is the units digit of (-1)/(d*2/(-4))?
2
Suppose 6 = -f + 3*f. Let k be 6*(3/2)/f. Suppose 1 = -b + 4*x - 1, k*x - 59 = -5*b. What is the tens digit of b?
1
Let h(d) = d**3 + 5*d**2 - d - 1. What is the tens digit of h(-3)?
2
Suppose 5*x - 3*w + 34 = -0*x, x - w = -6. Let v(k) = k**3 + 7*k**2 - 9*k + 2. What is the tens digit of v(x)?
1
Let s = 9 + -6. Let o be 2/((-89)/(-29) - s). Let y = o - 17. What is the units digit of y?
2
Let a = -98 - -99. What is the units digit of a?
1
Let q be (-1 + 4/10)*-15. Let o = -1 + q. What is the units digit of o?
8
Let d(t) = 3*t**2 + 17*t + 6. Let s(h) = 2*h**2 + 11*h + 4. Let m(r) = 5*d(r) - 7*s(r). Let b(o) = -o**2 + o - 9. Let v be b(0). What is the tens digit of m(v)?
1
Let d(f) = f - 4. Let k = -3 - -6. Let l be d(k). What is the units digit of (-2)/(-2) - l*2?
3
Let r(u) = -u**3 + 3*u**2 + u + 1. Let g be r(2). Let t(c) = c - 6. Let p be t(g). Suppose p = -2*h + 4*o - 3, 4*h - 4 = 5*o. What is the units digit of h?
6
What is the units digit of 52 - (3 - (-1)/(4/(-20)))?
4
Let r = 298 + -52. What is the units digit of r?
6
Let z = 9 - 5. Let v = 7 - z. Suppose 0 = 4*j + 4*k - k - 63, -42 = -3*j + v*k. What is the tens digit of j?
1
Suppose 50 + 83 = 7*q. What is the tens digit of q?
1
What is the tens digit of (12/(-39))/(-2) + 8160/26?
1
Let a = -10 - -31. What is the units digit of a?
1
Let u be 172/22 + (-8)/(-44). Suppose -u = 5*f + 7. What is the units digit of -1 - (-6 + 3 + f)?
5
Suppose q - 2*m - 68 = -q, -104 = -3*q + 2*m. What is the tens digit of q?
3
Suppose -2*q = -7*q + 40. What is the units digit of ((-3)/(-2) - 1)*q?
4
Let q(r) = -r - 25. Let p be q(-13). Let j = p + 22. What is the tens digit of j?
1
Suppose -z + 7 = -5. Suppose 0 = 3*i - z - 27. What is the units digit of i?
3
What is the units digit of ((-2)/2)/((-23)/299)?
3
Let q be 6/(-24) + 18/8. Let t be -56*q/8*-2. Suppose 4*i + 5*c - t = 0, -4*c = -4*i + 2*i + 14. What is the units digit of i?
7
Let s = 48 - 24. What is the tens digit of s?
2
Let y be (-4 + -2)/(6/(-4)). What is the units digit of -2*(6/y)/(-1)?
3
Suppose 3*g = -4*i + 159, 4*i - 6 = 6. What is the tens digit of g?
4
Let b be 0*(-2)/(-12)*-2. Suppose -4*y - y = -4*n - 30, -4*y - 4*n - 12 = b. Suppose 53 = 5*h - y. What is the units digit of h?
1
Let p = 5 - -49. What is the units digit of p?
4
Suppose p - 55 = 6*p. Let n = -4 - p. What is the units digit of n?
7
Suppose 48 = 2*c - 8. Let p be 4/14 - (-132)/c. Let m = 12 - p. What is the units digit of m?
7
Let p be (-2)/3*(-228)/8. Suppose -a - 4*m = 2*a - 13, -3*a - m + p = 0. What is the units digit of a?
7
Suppose z - 4*t - 22 = 23, 0 = -2*z + 4*t + 94. What is the tens digit of z?
4
What is the hundreds digit of (-8)/(-108)*9*(-441)/(-2)?
1
Let l be ((-2)/4)/((-8)/(-48)). Let p be (-50)/(-15) + 1/l. Suppose 0 = 8*b - p*b - 15. What is the units digit of b?
3
Let b(v) be the second derivative of v**4/12 - v**3/6 + 31*v**2/2 - 4*v. What is the tens digit of b(0)?
3
Suppose 4*z = z. Suppose z = -2*a + 3*a + 3, -a = -4*o + 47. What is the tens digit of o?
1
Suppose 4*w - 3*f + 23 = 0, f - 2 = -1. Let t be -1 - 1 - (w + 3). Suppose 2*u - n - 2 - 18 = t, 5*u - 3*n = 50. What is the tens digit of u?
1
Suppose 0 = -x - 3, m - 3*x = -6*x + 166. What is the units digit of m?
5
What is the hundreds digit of 2/2 + (-235)/(0 + -1)?
2
Let s be (-1)/((-1)/4*-2). Let y be 5 - (s/(-2) - 3). Suppose -q - 4 = 0, 2*q + 18 = 2*c + y*q. What is the units digit of c?
9
Suppose 160 = -h + 5*h. What is the units digit of h?
0
Let w(c) be the second derivative of c**3/3 - c**2 - 3*c. Let l be w(7). Let t = l + -1. What is the units digit of t?
1
Let i be (-1)/1 + 0 + -3. Let c be (-2)/i - (-93)/(-6). What is the units digit of (-