 27. Let g(f) = 4*q(f) + 11*u(f). What is the hundreds digit of g(12)?
1
Let o(v) be the third derivative of 11*v**5/10 + v**4 + 23*v**3 + 3*v**2 - 36*v. What is the thousands digit of o(-5)?
1
Let r = 24366 + -13341. What is the hundreds digit of r?
0
Let m = -596 + 596. Suppose m = 7*r - 4258 - 1118. What is the tens digit of r?
6
Let w = -689 - -4753. What is the units digit of w?
4
Suppose b - 545 = -0*b. Suppose -5*h - 5*f - b = 0, -3*f = -4*h - 2*f - 431. What is the tens digit of 2/(-18) + (-7464)/h?
6
Suppose 3908 = 5*g - 4*y, 5*y + 516 = g - 253. Let z = g - 440. Suppose -14*r + 10*r = -z. What is the tens digit of r?
8
Suppose 0 = 22*w - 19*w - 123. Suppose 84 + w = 5*d. Suppose d*b - 21*b - 388 = 0. What is the tens digit of b?
9
Let v(r) = 2*r**2 + 26*r - 26. Let x be v(-14). Suppose 5*a = -x*f + 1225, -f = -186 + 181. What is the tens digit of a?
4
Let c(k) = 550*k - 26. Let x be c(2). Suppose -x = -a + 55*w - 51*w, -2*a + 2196 = 4*w. What is the hundreds digit of a?
0
Suppose 8 = 2*v - 74. Suppose -5*w + 3*l = -3*w - v, -5*w = -4*l - 92. What is the units digit of w + 0 + 4 + -3?
7
Suppose -9*t = -19*t + 11350. Let m = t - 684. What is the tens digit of m?
5
Let d(m) = -7732*m + 51. What is the tens digit of d(-1)?
8
Suppose 2*z - 5*s - 35 = 0, -2*s = 7 + 3. Suppose 0 = -z*w + 908 - 103. Let k = w + -72. What is the tens digit of k?
8
Suppose 6*l + 0*l = 48. Let a be 38*2 + l/4. Suppose -5*v - 4*c + 137 = 0, -4*v + 7*v - a = -c. What is the units digit of v?
5
Let g = -5476 - -8235. What is the thousands digit of g?
2
Let g = 157 + -90. Let u = 190 - g. What is the units digit of u?
3
Let t = -1 + -11. Let i = t + 29. Let r = 104 - i. What is the units digit of r?
7
Suppose 152*k - 4*a + 74114 = 155*k, a = -k + 24704. What is the thousands digit of k?
4
Suppose -t - h + 4810 = 0, -68*t + h + 14430 = -65*t. What is the thousands digit of t?
4
Let x(f) = 104*f + 380. What is the tens digit of x(101)?
8
Let u(h) = 18*h**2 + 6*h + 14. Suppose -19 = 2*k - 11. What is the units digit of u(k)?
8
Let n = -823 - -915. Let q be (-466)/(-3)*9/6. Suppose 13*f - q = n. What is the tens digit of f?
2
Let w(l) = 10*l**2 - 22*l + 232. What is the thousands digit of w(-33)?
1
What is the hundreds digit of ((-12)/(-21))/1 + (-296703)/(-231)?
2
Let r(k) = 197*k + 2051. What is the tens digit of r(41)?
2
Suppose -4*d - 44 = 156. What is the units digit of 352 - (d/15 - (-16)/12)?
4
Let u(b) = 7*b**3 + 18*b**2 - 4*b - 11. Let w be u(5). Suppose -4*i - r + 2588 = 0, -w = -2*i - 5*r + 9*r. What is the tens digit of i?
4
Let v(j) = j. Suppose u = -3*a - 11, 21 = -0*u + u - 5*a. Let l(s) = 40*s - 16. Let b(q) = u*l(q) - 4*v(q). What is the tens digit of b(3)?
9
Let i be (-1 - -7) + 3/(-1). Suppose 14*f = -i*f + 17204. Suppose -4*v - 3*a + f = 293, -2*v + a = -367. What is the hundreds digit of v?
1
Let l = -150 + 11. Let f = -125 - l. What is the tens digit of f?
1
Let q(x) = x**3 - x**2 - x - 4. Let t be q(0). Let k be t/6*3 + (3 - -38). Let l = k - -14. What is the tens digit of l?
5
Let m(o) = 3438*o - 2519. What is the thousands digit of m(4)?
1
Suppose -526768 = -38*g - 51917 + 222715. What is the ten thousands digit of g?
1
Suppose 123*s - 6209456 = 872761. What is the hundreds digit of s?
5
Suppose 29*b - 22*b = 21. Suppose k - 30 = -3*m + 84, -3*k = -b*m - 318. What is the hundreds digit of k?
1
Let l(u) = -25*u + 164. What is the hundreds digit of l(-13)?
4
Let c(i) = -42*i**2 + 3*i - 11. Let n be c(-7). Let a = -1111 - n. What is the tens digit of a?
7
Suppose -2 = -98*y + 97*y. Suppose r + r + 2*v - 8 = 0, -11 = -3*r - y*v. Suppose r*w - 190 - 179 = 0. What is the tens digit of w?
2
Suppose -10*j - 18339 = -66349. What is the units digit of j?
1
Let s be (-306)/(-24) - 35/(-28). Suppose -3976 = 6*i - s*i. What is the units digit of i?
7
Suppose -42*a + 47*a - x - 153930 = 0, -153930 = -5*a - x. What is the tens digit of a?
8
Suppose 5*d = 17*d + 2436. Let b = -95 - d. What is the hundreds digit of b?
1
Let n(l) = l**2 + 38*l + 113. Let i be n(-35). Suppose -i*m = 460 - 3700. What is the hundreds digit of m?
4
Let t = 4 + 1. What is the tens digit of 145*(t - 4) - -4?
4
Let l be (32/(-24))/(2/(-33)). What is the units digit of (-4)/l + ((-190236)/(-132) - 1)?
0
Let q(m) be the third derivative of m**4/4 - 17*m**3/6 - 16*m**2. Let b be q(4). Suppose -b*g + 347 = 109. What is the tens digit of g?
3
Let v(o) = 3921*o**3 - 6*o**2 - 7*o + 8. What is the ten thousands digit of v(2)?
3
What is the tens digit of (174/30 - 6) + ((-1286688)/(-40) - -6)?
7
Let p(c) be the third derivative of 9*c**5/20 - c**4/6 - 16*c**3/3 - 46*c**2. What is the tens digit of p(-4)?
1
Suppose 5 = -r + 5*i + 110, -3*r + 4*i = -326. Let u = -7 + r. What is the units digit of u?
3
Suppose -3*a + 569 = d, -4*a - 5*d + 565 = -a. Suppose -4*s = 34 - a. Suppose 4*o = -s + 135. What is the tens digit of o?
2
What is the tens digit of (-2 + -2807)*19/(-1)?
7
Suppose 2*t = -3*t + 25. Suppose 5*f + t*z = 980, -720 - 64 = -4*f + 5*z. What is the tens digit of f?
9
Let y = 991 + 262. Let k = y + -438. Suppose 5*u - 5*z - k = 0, 3*u + 0*z - 2*z - 491 = 0. What is the units digit of u?
5
Let t = -43402 - -69166. What is the tens digit of t?
6
Let r = 1002 + 12594. What is the hundreds digit of r?
5
Let v = 29379 + -14157. What is the tens digit of 3/(-15) + (v/10 - -1)?
2
Let p = 6612 + -4972. What is the thousands digit of p?
1
Let n(q) = 277*q**2 - 429*q - 5498. What is the hundreds digit of n(-13)?
8
Let y(q) = 32*q**3 - 9*q**2 - 43*q + 323. What is the units digit of y(6)?
3
Suppose -3*y + 6320 + 11733 = 2*n, -2*y + 12017 = 5*n. What is the thousands digit of y?
6
Let a(y) = 5*y**2 - y + 24. Let d be a(5). Suppose -b = -2*s + 349, b - d = -s + 29. What is the units digit of s?
4
Let h = 163 - 821. What is the hundreds digit of ((-23)/(1288/(-96)))/((-4)/h)?
2
Let c(t) = 6*t - 8*t - 4 + 3*t. Let v be c(-3). Let y(x) = x**2 + x + 14. What is the tens digit of y(v)?
5
Suppose 3*v + 13 = 5*y, -4*y + v + 0*v = -9. What is the units digit of (2/(y/11))/(27/81)?
3
Let h = -2374 + 11739. What is the units digit of h?
5
Suppose 0 = 2*v - 6*d - 41646, -6*d + 62497 = 3*v - 8*d. What is the tens digit of v?
3
Let t = 3027 - 2691. What is the tens digit of t?
3
Let g(x) = 728*x**2 - 13*x - 11. Let w be g(-3). Suppose -13*k - w = -27*k. What is the tens digit of k?
7
Let z = -90 - -94. Suppose 0 = z*q + 2*y + 38, -5*y - 4 = -7*q + 4*q. Let f(n) = 5*n**2 + 6*n - 27. What is the tens digit of f(q)?
7
Let x = 55 - 57. Let k be (-2 + -6)*x - -2. What is the tens digit of (-3)/(k/(-478)) + (-10)/(-30)?
8
Let t = -376 + 709. Suppose -3*a = -p - t, -4*a - 209 = -6*a + 5*p. What is the units digit of a?
2
Suppose -2222647 = -56*m - 653695. What is the thousands digit of m?
8
Let j = 18631 + -11109. What is the tens digit of j?
2
Let i = -15 - -21. Suppose -4*g = -i*g - 2, 4*v = -2*g + 1778. What is the hundreds digit of v?
4
Let d be (-117)/(-17) + (-4)/(-34). Let m(r) = 11*r + d - 3 - 2*r - 1. What is the units digit of m(3)?
0
Let l be 6/18 + (-2607)/(-9). Let y = l - 35. What is the units digit of y?
5
What is the hundreds digit of -16*(((-320540)/72)/11 + 4/18)?
4
Suppose -1 = 4*c + 11. Let f be 181 + -1 + (5 - (c + 7)). Suppose 0 = -5*p + o + 697, -p - 46 + f = 2*o. What is the units digit of p?
9
Let z be -30*(1 - 1017/15). Suppose 0 = 2*x - z + 480. What is the hundreds digit of x?
7
Suppose 886626 = 162*b - 45*b. What is the tens digit of b?
7
Let d = -6 + 14. Let o(t) = -t**3 + 9*t**2 - 7*t - 6. Let s be o(d). What is the units digit of 1 + 58 + 0 + s?
1
Let v = -5403 - -9735. What is the hundreds digit of v?
3
Suppose -9 - 3 = -3*l. Suppose 0 = -5*d + 34 - l. What is the hundreds digit of ((-28)/d)/(-2*4/192)?
1
Suppose 26*h = l + 27*h + 2532, -2*l + 4*h = 5088. What is the units digit of l/(-3)*10/(320/24)?
4
Suppose 242*q + 19260 = 260*q. What is the units digit of q?
0
Suppose 5*s = -15, 5*q - 20539 = -5*s + 16491. What is the thousands digit of q?
7
Suppose 580820 = -2472*o + 2547*o - 2518630. What is the thousands digit of o?
1
Let i(r) = -3890*r - 15108. What is the ten thousands digit of i(-14)?
3
Let q = 1330 - 687. What is the units digit of q?
3
Suppose 26*w - 27*w = -5*c + 39546,