s digit of y?
1
Suppose 3*g = -4*k - 3830, 15*g = 18*g - 3*k + 3837. Let m = -17 - -8. What is the units digit of m/(-45) + g/(-10)?
8
Let c = 2264 + 12776. What is the units digit of c?
0
Let h(a) be the third derivative of -19*a**6/60 - a**5/60 + a**4/24 - a**3/6 + 5*a**2 - 7*a. What is the hundreds digit of h(-2)?
2
Let t(g) = 218*g**2 + g - 5. Let u be t(2). Suppose -f = 5*m - u, 0 = 8*f - 11*f - 5*m + 2617. What is the hundreds digit of f?
8
Let i = 16589 - 8590. What is the thousands digit of i?
7
Suppose -j + 3*t + 3 = 0, -9*t - 3 = -j - 8*t. Let u be 4/1 + j*(-4)/(-3). Suppose u*h - 604 = 4*h. What is the hundreds digit of h?
1
Suppose r + 1 = 3. Let y be 25120/112 - r/7. Let h = y - 123. What is the units digit of h?
1
Suppose 536 - 140 = 3*a. Suppose 290*s + 0 = 293*s - 495. Suppose s = u + 4*u - 5*j, 4*u - a = -2*j. What is the units digit of u?
3
Suppose 2*o - 5*w - 326 = 0, -3*w + 294 = 5*o - 3*o. Suppose 10*j + o = 5113. What is the hundreds digit of j?
4
Let m = 43733 + -10143. What is the hundreds digit of m?
5
Let h(y) = 2*y**2 + 27*y + 13. Let r be h(-13). Suppose -b - 1574 = -3*u, -4*u + 6*u + 2*b - 1036 = r. What is the tens digit of u?
2
Suppose 0 = -10*u + 40521 + 36325 + 13004. What is the thousands digit of u?
8
Let x = -20 - -11. Let a(p) = 5*p + 15. Let o be a(x). What is the tens digit of o/(((-9)/54)/((-4)/(-18)))?
4
Let d be (-40)/(-36)*-6*66/4. What is the tens digit of d/275 - 19174/(-10)?
1
Let o be 128 - -2 - (-4)/(-4). Suppose -21 = -7*j + 84. Suppose -j = -b + 4*b, 3*f + 3*b = o. What is the units digit of f?
8
Let q(d) = -21*d + 6. Suppose -l + 25 = -2*l - 2*m, -13 = l - 4*m. What is the units digit of q(l)?
7
Suppose 2*w + 10 = 74. Let u = 56 + w. What is the units digit of u?
8
Suppose -4*g + 16 = w - 8, 9 = w + g. Suppose w*q - 2*p - 16 = -p, -12 = 3*p. Suppose 2*a - 64 = -4*d, a = -q*a + d + 173. What is the tens digit of a?
4
Let t(p) = -p + 7. Let n be t(4). Let z be (-3*n/(-18))/(5/(-10)). Let s = 3 + z. What is the units digit of s?
2
Suppose 5*y - i = 80561, 2*y + 15502 - 47740 = -3*i. What is the units digit of y?
3
What is the thousands digit of (-4)/(-6)*(8148 - 195)?
5
Let g = 23121 + -9047. What is the hundreds digit of g?
0
Let u(i) = 29*i**2 + 10*i - 2. Let n be u(5). Suppose -4*r = -n - 123. What is the units digit of r?
4
Let w = 38 - 35. Suppose -3*l + 18 = w*l. Suppose -l*p = p - 212. What is the tens digit of p?
5
Suppose -2*h - 5*d = 2*h + 324, 5*h = 5*d - 405. Let k be (-2412)/h + (-6)/(-27). Let q = 56 - k. What is the tens digit of q?
2
Suppose 5*f - 14*f = -21870. Suppose 9*g - f = 99. What is the tens digit of g?
8
Suppose -189*g + 4297426 + 3449976 = 305*g. What is the thousands digit of g?
5
Suppose -1694 = 3*j + 2*k + 3014, 0 = 5*j + 4*k + 7844. Let s = 2652 + j. What is the tens digit of s?
8
Suppose 90*j + 136*j - 4852804 = 799908. What is the units digit of j?
2
Suppose x - 309 = 4*i, 2*x = 61*i - 62*i + 618. What is the hundreds digit of x?
3
Let n(a) = -a**3 - 9*a**2 + 113*a - 95. What is the units digit of n(-23)?
2
Suppose 1917 = -5*w + 2*w. Let n(k) = -65*k + 493. Let a be n(14). Let b = a - w. What is the hundreds digit of b?
2
Suppose 2*m = -2*f + 3554, -6*f - 8930 = -11*f + 4*m. What is the hundreds digit of f?
7
Let j = -13585 - -29983. What is the tens digit of j?
9
Let m(s) = s**3 - s**2 - 3*s + 5. Suppose 0 = -12*w + 4 + 20. Let p be m(w). Suppose 0 = o - 5*l - 302, 0*o = -3*o + p*l + 846. What is the units digit of o?
7
Suppose -3*z + 3 = p - 2, z - 9 = -4*p. Suppose -5*w + 17 = p*h, -3*w + 4*h = 2*h - 7. What is the units digit of (-162)/(-1*w)*(-3)/(-6)?
7
Let k(u) = 153*u**2 + 34*u + 55. What is the tens digit of k(7)?
9
Let y(c) = 2324*c**3 - 11*c**2 + 19*c - 7. What is the tens digit of y(1)?
2
Suppose 11*x = -7*x + 172602. What is the hundreds digit of x?
5
Let g = -2934 - -5011. What is the thousands digit of g?
2
Let m(u) = -7*u + 26. Let v(a) = a - 9 - 18 + 6*a. Let w(n) = -6*m(n) - 5*v(n). What is the tens digit of w(9)?
4
Suppose -63*u + 488040 = 57*u. What is the thousands digit of u?
4
Let w be 2/(-12) + 13/78. Let r be ((-75)/10)/5*(w + 2). Let g(y) = -11*y - 5. What is the tens digit of g(r)?
2
Let d = 102447 - 46097. What is the hundreds digit of d?
3
What is the tens digit of (-38847)/(-24) - 9/(-24)?
1
Suppose -999 = -3*c + 3*n, 43*c - 38*c = -3*n + 1705. Let t = -254 + c. What is the tens digit of t?
8
Let x(h) be the first derivative of -617*h**2/2 - 72*h - 123. What is the tens digit of x(-2)?
6
Let j(a) = -12*a - 8. Let z be j(-1). Suppose 4*s + 294 = f, 1148 = z*f - 3*s + s. What is the tens digit of f?
8
Suppose 14 = f + 7. Let q be (-10)/((21/(-90))/f). Suppose -32*p = -28*p - q. What is the tens digit of p?
7
Let m(y) = 30*y**2 + 13*y - 20. Let v(b) = -63*b**2 - 27*b + 39. Let i(t) = 13*m(t) + 6*v(t). What is the tens digit of i(-9)?
8
Suppose 40*g = -6 + 86. Suppose 0*q = 5*d + g*q - 6238, 5*q + 5 = 0. What is the thousands digit of d?
1
Let j(k) = -1694*k + 105. What is the tens digit of j(-4)?
8
Suppose -244469 = -164*i + 1553955. What is the hundreds digit of i?
9
Suppose 0*g + 96 = 6*g. Suppose -4*o - 7*b + 4*b = -11, 0 = -2*o + 2*b + g. Suppose o*h + 45 = 755. What is the hundreds digit of h?
1
Let m(g) = g**2 - 24*g - 123. Let y be m(28). Let h(p) = 6*p**2 - 12*p - 16. What is the units digit of h(y)?
2
Let f(n) = 57*n - 4. Let t be f(9). Suppose -740 = -t*b + 508*b. What is the hundreds digit of b?
7
Let h = -62 - -98. Let i = 542 + h. What is the units digit of i?
8
Suppose 4*y = c - 3 + 2, 4*y + 10 = -2*c. Let v be 54/24*(-4)/c. Suppose v*s + 9*s = 888. What is the units digit of s?
4
Suppose -t + 5*q = 5, -4*t + 13*q + 16 = 11*q. What is the tens digit of 20/t + -2 + 745?
4
Let j(k) = 115*k**2 - 143*k + 398. What is the hundreds digit of j(20)?
5
Suppose -3*t + 5*k + 529 + 91 = 0, 0 = -4*t - 5*k + 780. Let r = -118 - 20. Let f = t + r. What is the units digit of f?
2
Let w = -3227 - -26499. What is the thousands digit of w?
3
Let o(b) = -10*b - 5. Let u be o(1). What is the hundreds digit of (-2163)/u + (-7)/35?
1
Let q(i) = 58*i - 119*i + i**3 + 12*i**2 - 18 + 48*i. What is the units digit of q(-9)?
2
Suppose 2*o + 2*p - 10272 = 0, 140*o + 4*p = 139*o + 5142. What is the thousands digit of o?
5
Suppose 6864*s = 6878*s - 111258. What is the units digit of s?
7
What is the hundreds digit of 112512/22 + (-360)/44 + 8?
1
Let z(o) = -1634*o**3 + 4*o**2 + 2*o. Let y be z(-1). Suppose -6*f + y = -1256. What is the units digit of f?
2
Suppose 127054 = 4*s + 82263 - 93717. What is the ten thousands digit of s?
3
What is the ten thousands digit of (-160300)/(-15) - 10/(-3)?
1
Suppose -o - 4*y + 13 = 0, -3*y + 10 = -5*o - 8*y. What is the units digit of 686 + (-2)/o + 16/(-7)?
4
Let l(r) = r**2 + 11*r + 284 - 32*r + 13*r. What is the units digit of l(0)?
4
Suppose -4*l = -l + a - 23, -2*a - 31 = -5*l. Let b(s) = 18*s**2 + 12*s - 62. What is the hundreds digit of b(l)?
9
Suppose 5*j = -5*f + 6100, 1768 - 553 = f + 2*j. What is the thousands digit of f?
1
Let w = 466 - 470. What is the hundreds digit of 489 + -3*(30/(-9) - w)?
4
Let m = 31765 - 11328. What is the ten thousands digit of m?
2
Let j(q) = -2*q + 71. Let w(l) = l**2 + 3*l - 70. Let s(g) = 4*j(g) + 5*w(g). What is the tens digit of s(10)?
0
Let d(j) = -1920*j**3 - 15*j**2 + 2*j + 10. What is the units digit of d(-2)?
6
Let g(d) = 2*d**2 + 3*d - 59. Suppose 0 = -9*c + 93 + 33. What is the hundreds digit of g(c)?
3
Let w(m) = -m**3 + 11*m**2 - 8*m - 20. Let s = 24 + -17. Suppose 5*k - 52 = -s. What is the units digit of w(k)?
0
Suppose 0 = -5*k - 28 + 43. Suppose -2*g + 3*d - 53 = -k*g, d = -2*g + 121. What is the tens digit of g?
6
Let d = -16989 - -26733. What is the hundreds digit of d?
7
Suppose d + 75 = 6*d. Suppose 2130 = -9*s + d*s. What is the units digit of s?
5
Suppose -2*u - 4 = -2*k - 0*k, 5*k - 4*u = 12. Suppose 0 = -k*t + 3*i + 2404, -t = -3*i - 602 + 10. What is the units digit of t?
4
Let h(p) = p**2 + 9*p + 4. Let d be h(-9). Suppose -66*g - 6 = -69*g. Suppose g*z - 4*o = 234, d*o = 5*z + 6*o - 585. What is the tens digit of z?
1
Suppose -3*g + 15466 = 2644. What is the units digit of g?
4
What is the tens digit of (56/(-168))/(2/(-1848))?
0
Suppose 3*k - 52