((-1)/(-3))/(1/6). Suppose -15 = 3*a, -2*z - 4*a + 7*a = -31. Let m = l + z. What is the tens digit of m?
1
Let v(i) = -i**3 + 8*i**2 + 12*i + 9. Let d be v(9). What is the tens digit of d/(-8)*416/(-12)?
5
Let h(u) = u**3 + 5*u**2 - 5*u + 8. Let o be h(-6). Suppose 0*t - 2 = o*t. What is the units digit of ((-12)/t)/(-4) + 38?
5
Let b be ((-132)/(-5))/(3/((-270)/(-12))). Let q = 22 + b. What is the hundreds digit of q?
2
Suppose m = -p - 18, 12 = 2*p + 4*m + 38. Let q = 34 + p. What is the units digit of q?
1
Let u(n) = n**2 - 3*n - 2. Suppose 0 = -4*d + 2*d + 6. Let z(b) = 2*b**2 - 6*b - 3. Let y(a) = d*z(a) - 5*u(a). What is the units digit of y(7)?
9
Suppose -19 - 1 = 4*a, 3*w - a = 539. What is the units digit of w?
8
Suppose p - 19 = -2*l, 4*l - 4*p - 1 = 7. Let y = -8 + l. Let r(f) = -23*f - 1. What is the tens digit of r(y)?
2
Suppose -12*g = -7*g - 15. Suppose 0 = v + g*v - 4. What is the units digit of v?
1
Let p(r) = -r**3 - 3*r**2 - 6. Let g be p(-3). Let u be ((-3)/g)/((-2)/4). What is the units digit of (u/(-1))/(1/12)?
2
Let q(h) = h**2 - 4*h - 3. Let u be q(6). Let p(f) be the first derivative of -f**3/3 + 6*f**2 + 6*f + 54. What is the units digit of p(u)?
3
Suppose q - 107 - 53 = 0. Suppose 0*k = -k + z + 24, 5*z = -5*k + q. Suppose 8*x - 10*x = -k. What is the units digit of x?
4
Suppose -1 = -z, 2*z + 18 = -4*b - 56. Suppose 0 = -5*o - 2*s - 183, -s = -4*o - 44 - 92. Let k = b - o. What is the units digit of k?
6
Suppose -3*l - v + 12 = 0, 5*l - 4*v + 0 = 20. Suppose -u = 4*b - 4*u - 280, 5*u = -l*b + 248. What is the tens digit of b?
6
Let j(z) = z**3 + 8*z**2 + 8*z + 11. Let l be j(-7). Let p(y) = -4 + 10*y**2 + 1 + l*y**2 + 0*y - y. What is the units digit of p(-2)?
5
Let j(t) be the third derivative of -t**5/60 - 13*t**4/24 - 10*t**3/3 + 2*t**2. Let c = 202 + -212. What is the tens digit of j(c)?
1
Let r(m) = m**3 + 10*m**2 - 6*m - 12. What is the tens digit of r(-9)?
2
Let t = -7 + 6. Let j be -15 - (-5 + t)/2. What is the tens digit of (-42)/(-4) + 6/j?
1
Let s = -93 + 363. What is the hundreds digit of s?
2
Suppose 0 = -0*t + 3*t - 570. What is the hundreds digit of t?
1
Let u = -37 - -37. Suppose -3*j = 4*x - 120, 0 = 2*x - u*j + j - 62. What is the tens digit of x?
3
Let r be -20*((-72)/(-20))/(-3). Let n be (-32)/r*(5 + -2). What is the units digit of (-50 + n)*(-3 - -2)?
4
Suppose -4*f - 8 = 0, -2*b + 3 = -b - 4*f. Let n(j) be the first derivative of -j**3/3 - 3*j**2 + 6*j - 1. What is the units digit of n(b)?
1
Suppose 0 = 3*i - 6. Let k(u) = 2*u - 3*u**i - 5 + 2*u**2 - 8*u. What is the units digit of k(-4)?
3
Suppose -28*j = -42*j + 4676. What is the hundreds digit of j?
3
What is the hundreds digit of 2/(-3) + 92824/123?
7
What is the hundreds digit of (-1300)/(-3) - (-52)/78?
4
Let n be -4 - (-9)/3 - 184. Let o = 45 + n. Let h = -77 - o. What is the units digit of h?
3
Suppose 0*y + y - 103 = -o, 3*y + 4*o - 313 = 0. Suppose 5*i - 2*i - y = 0. What is the tens digit of i?
3
Suppose 0 = 2*l - 4*k + 3 + 7, 4*l - 3*k = 0. Suppose 0 = -2*y + l*v + 13, -8 = -2*y + 4*v + 10. What is the units digit of 20/10 - (y - 26)?
9
Let q be (-26)/(-2*(-3)/(-258)). What is the tens digit of ((-2)/4)/((-13)/q)?
4
Let o(b) = 23*b + 2. Let s be o(6). Let z = s - 62. What is the units digit of z?
8
Suppose 16*l + 7 + 153 = 0. Let v(r) = 11*r**2 + 4*r**2 + r**3 + 8*r - 9 - 4*r**2. What is the units digit of v(l)?
1
What is the tens digit of 7064/10 + 3/5?
0
Suppose -u = 5, -u = 4*d - 3*u - 526. Suppose -45 = 3*h - d. Suppose h*q - 75 = 25*q. What is the tens digit of q?
2
Let p(a) = -1369*a**3 + a. Let b be p(1). What is the units digit of (2/6)/(-2 + (-2742)/b)?
6
Suppose 11 = -5*k + 6. What is the tens digit of ((36/(-16))/1)/(k/112)?
5
Let b = -80 + 57. Let g = b + 27. Suppose c + 0 - g = 0. What is the units digit of c?
4
Let m(f) be the second derivative of 11*f**3/6 - 67*f**2/2 - 24*f. What is the units digit of m(21)?
4
Let i(t) = -t. Let a = 13 - 12. Let x(l) = 25*l - 1. Let y(s) = a*x(s) - 3*i(s). What is the tens digit of y(1)?
2
Let i be 4/3*(-9423)/(-6). Suppose 1187 = 17*q - i. What is the units digit of q?
3
Let x = -16 - -19. Let s = x - 1. Suppose 0 = 2*y - 5*l - 47, -s*l + 3*l = -5*y + 77. What is the units digit of y?
6
Suppose 3*h + 5*b - 955 = 0, 11*b - 15*b + 8 = 0. What is the units digit of h?
5
Suppose 0 = 13*t - 12*t - 1496. What is the thousands digit of t?
1
Let r = 149 - 83. Let o = 141 - r. What is the tens digit of o?
7
Let o(x) = 23*x - 16. Let s be o(-3). Let p = s + 118. What is the tens digit of p?
3
Let n = 47 + -45. What is the units digit of (2 + -6)/(3/(-129)*n)?
6
Suppose 0*t - 5*t - 305 = 0. Let x = t - -85. Let u = x - -30. What is the units digit of u?
4
Suppose q - 2*u - 24 = 0, -7 - 1 = -4*u. What is the hundreds digit of 4/q*-1 + 1422/7?
2
Let i = -15 - -22. Suppose 2*g - i = -3*n, 4*n + 29 = 4*g + g. Suppose -g*a + f + f = -212, -a + 4*f = -46. What is the units digit of a?
2
What is the units digit of 10 + (-32696)/(-40) - 2/5?
7
What is the tens digit of (-5464)/6*(-69)/46?
6
Suppose -2*j + j = 0. Suppose j*v = v - 3. Suppose -y = -2*c - v*c - 24, 0 = y - 2*c - 18. What is the units digit of y?
4
Let z(h) = 3*h**3 - 12*h**2 - 17*h + 8. Let w(s) = s**3 + s**2 - s. Let a(t) = -2*w(t) + z(t). What is the units digit of a(15)?
8
Let m be (-1)/(-5) + 154/5. Suppose 0 = -2*x + m + 55. What is the tens digit of x?
4
Suppose -2*v - 66 = -c, -2*c = -v - 2*v - 97. Let s be (-120)/v + (-12)/(-21). Suppose 0*m + 164 = s*m. What is the tens digit of m?
4
Suppose 0 = -4*f + 3*q - 6*q - 145, 5*q = -4*f - 143. Let j = -17 - f. What is the tens digit of j?
2
What is the units digit of (-14 + 14)/2 - (-419 + 1)?
8
Suppose 4*j - 17*s - 2214 = -19*s, 4*s - 4 = 0. What is the tens digit of j?
5
Suppose -y + 0*y - 254 = -j, 0 = -2*y + 8. Let g = j - 183. What is the tens digit of g?
7
Suppose 0 = -12*a + 35980 + 4976. What is the thousands digit of a?
3
Let w(n) = -2*n**2 - 41*n + 26. Let p be w(-21). Suppose 0 = -x + 4*m + 48, 3*x - 2*x + p*m = 84. What is the units digit of x?
4
Let m(v) be the second derivative of 0 - 1/6*v**3 - 3*v + 19/2*v**2. What is the units digit of m(6)?
3
Let z(l) = 87*l + 22. Let d(n) = -58*n - 15. Let b(t) = -7*d(t) - 5*z(t). What is the units digit of b(-3)?
2
Let b(o) = -o**2 + 13*o - 12. Let k be b(12). Let r(v) = k + v**3 + 34 + 9. What is the tens digit of r(0)?
4
Let m be 12/(-4) + 6/2. Let x = 6 - m. Suppose -x = -3*h + 6. What is the units digit of h?
4
Let y(n) = -n**3 + 11*n**2 - n + 8. Suppose 2*l - 34 = -14. What is the units digit of y(l)?
8
Let b(m) = -m**3 + 3*m**2 + 3. Let q be b(3). Let c(i) = 47*i + i**3 + 51*i + 45*i - 140*i - 4. What is the units digit of c(q)?
2
Let x(c) = c. Let n be x(2). Let v(l) = 15*l**n + l + l**2 - 2*l - 2*l**2. What is the units digit of v(-1)?
5
Suppose 18*x - 11*x = 13237. What is the thousands digit of x?
1
Let f be ((-20)/30)/((-2)/6). Let j = f + 2. What is the units digit of (1 - j/12)*24?
6
Suppose 8*l - 4 = 10*l. What is the units digit of l + 9 - 4 - -31?
4
Suppose 0 = 3*w - 0*w - 2*f - 54, 2*f = -4*w + 72. What is the hundreds digit of 2362/w - (-8)/(-36)?
1
Let c = -33 + 33. Let v(b) = -b**2 + 19*b - 35 + c*b**2 + 17. What is the units digit of v(12)?
6
Suppose -2 + 4 = -s + 2*f, 5 = 2*s + 5*f. Suppose s = -3*l - 19 + 67. What is the tens digit of l?
1
Let y(d) = -199*d - 103. What is the hundreds digit of y(-8)?
4
Let q = -200 + 78. Let u = 284 + q. What is the units digit of 1/(-8) - u/(-16)?
0
Suppose -125 + 0 = -5*i. Let n(q) = -q + 18. Let v be n(17). Suppose v = -4*z + i. What is the units digit of z?
6
Let q = -231 - -359. Suppose -f + 2*c = -138, 2*f - q = c + 142. What is the tens digit of f?
3
Let c = -50 - 47. Let l = c - -174. What is the units digit of l?
7
Let t = 29 - 23. Let a(p) = 5*p**2 - 17*p + 2. What is the units digit of a(t)?
0
Let b(r) = r**2 + 2*r + 4. Suppose -3*v + 14 = -2*j, -3*v + 21 = -8*j + 5*j. What is the units digit of b(j)?
9
Let o(z) = -9*z**3 - 6*z**2 - 18*z. What is the thousands digit of o(-6)?
1
What is the units digit of 5 - (-2)/((-2)/(-527))?
2
Let c = -1271 + 5127. What is the hundreds digit of c?
8
Let i be -1 + 4 - (-4 - 294/6). Suppose -t + i = 46. What is the units dig