 the third derivative of -w**6/45 - 5*w**5/24 + 25*w**4/24 - 14*w**2. Let y(l) be the second derivative of t(l). What is the hundreds digit of y(-8)?
1
Let y(v) = -1213*v**2 - 4. Let x(j) = 3639*j**2 + 12. Let u(k) = 4*x(k) + 11*y(k). What is the thousands digit of u(1)?
1
Let g(z) be the third derivative of 11*z**6/120 - 11*z**5/60 + 7*z**4/24 + z**3/2 + 111*z**2. What is the tens digit of g(4)?
5
Suppose -5*g + 4*t = 63, -3*g + 4*t + 87 = -8*g. Let z(n) be the first derivative of n**2/2 + 38*n + 3. What is the units digit of z(g)?
3
Suppose -21*y - 45542 = -175784 - 136521. What is the units digit of y?
3
Suppose -15*l - 13*l + 370275 = 47*l. What is the thousands digit of l?
4
Let p(l) = 55*l + 41. Let t be p(18). Suppose -t = -13*f + 412. What is the units digit of f?
1
Let q(w) = 6*w**3 - 2*w**2 + 9*w - 41. What is the units digit of q(9)?
2
Suppose x - 5 = -p, 6*x = 4*x + 6. Suppose -p*z + 6270 = 17*z. What is the hundreds digit of z?
3
Suppose 42*a - 40797 - 309207 - 346734 = 0. What is the tens digit of a?
8
Let k(i) = i**2 - 7*i + 27. Let j be k(9). Suppose j*t - 53*t = -2016. What is the units digit of t?
2
Let i be (-8)/14 + (-3344)/77. What is the hundreds digit of (i/10 - -2)*3350/(-15)?
5
Let q(n) = 59*n**3 - 15*n**2 - 155*n + 938. What is the thousands digit of q(6)?
2
Let v(k) = -68*k**2 - 8*k - 4. Let b be v(5). Let o = -1179 - b. What is the units digit of o?
5
Let j = 151 - 145. What is the units digit of ((-8)/j)/2 - (-846)/54?
5
Suppose -4*p + 28414 = 3*t, 4*p - 50*t - 28410 = -51*t. What is the tens digit of p?
0
Let w(z) = z**2 + 5*z - 8. Let h be w(-7). Let d(f) = 2*f**3 - 12*f**2 + 8*f - 1. Let o be d(h). Let y = o - -22. What is the units digit of y?
9
Suppose -6 = 4*u + 2*n + 12, 0 = 2*u + 3*n + 15. Let g be 2/u*3/4*-268. Let j = 227 - g. What is the units digit of j?
3
Let l(s) be the third derivative of 4*s**5/15 - s**3/3 + 2*s**2. Let a be ((-8)/(-22))/((-16)/(-88)). What is the tens digit of l(a)?
6
Let c(f) = 7*f**3 - 2*f**2 - 2*f + 3. Let m be c(2). Suppose -19 = -2*q - 2*w + 13, 17 = 2*q - 3*w. Let r = q + m. What is the units digit of r?
0
Let f be (-3)/(-9)*9 - -1. Let o be 5 + 1/(f/(-12)). Suppose 2*l + 0*l - 187 = 5*y, -4*y - 188 = -o*l. What is the units digit of l?
6
Suppose -5*w = -3*i - 36011, 46*i - 47*i - 36007 = -5*w. What is the units digit of w?
1
What is the units digit of (-3 - -2 - -6) + (-7)/(-1) + 9774?
6
Suppose 281*j + 47*j - 3472208 = 0. What is the ten thousands digit of j?
1
Suppose 20*x + 74*x = 22*x + 3028968. What is the thousands digit of x?
2
Suppose f = 4*h - 0*f + 1399, 5*h - 4*f = -1746. What is the hundreds digit of 24/(60/20 - h/(-118))?
7
Suppose -17*j - 64 = -13*j. Let v = j + 50. Suppose -v = 3*p - 451. What is the units digit of p?
9
Let i(u) be the third derivative of -11*u**4/24 - u**3/6 + 25*u**2. Let x be i(-1). Suppose 0 = -x*f + 9 + 1. What is the units digit of f?
1
Suppose 1012500 = -1190*p + 1250*p. What is the ten thousands digit of p?
1
Let j be 2/(-8) - (-3 - 24/(-32)). Let m(b) = 47*b**3 + 2*b**2 - 4*b + 7. What is the units digit of m(j)?
3
Suppose -3*w + 45063 = -u, 5*w + 4*u - 101026 = -25938. What is the units digit of w?
0
Let x(r) be the second derivative of r**3/3 + 10*r**2 - r + 65. What is the units digit of x(-2)?
6
Suppose 23*t = 12057 + 7184 + 30094. What is the hundreds digit of t?
1
Suppose -6*t + 2*t - 180 = 0. Let y = 31 - t. Suppose -l = 0, -2*w + 0*l + y = l. What is the tens digit of w?
3
Suppose -4*w + 48644 = 3*j, -158*j + 48647 = -155*j + w. What is the hundreds digit of j?
2
Let i be 1411 + (-12 - (-2 + -5)). Suppose 2*b = 16 - 14, -n + b + i = 0. What is the units digit of n?
7
What is the units digit of 8532 + ((-4)/(-6))/((-42)/63)?
1
Let o(z) = -16*z**3 - 5*z**2 - 5*z - 9. Let j be o(-4). Let q = j - 630. What is the tens digit of q?
2
Let a = 2284 - 273. What is the thousands digit of a?
2
Suppose -4*k + k + 30 = 0. Let x(b) = -k + b**2 - 7*b**2 - 4 + 4*b**2 + 7*b + b**3. What is the tens digit of x(5)?
9
Let l be ((-105)/(-25) + -5)*5/(-2). Suppose l*r - 41 = 61. What is the units digit of r?
1
What is the tens digit of 5/(15/72)*(-8 + (-84525)/(-84))?
5
Let z = -587 - -474. Let o(h) = 26*h**3 - h**2 - 2. Let q be o(2). Let a = z + q. What is the tens digit of a?
8
Suppose -12*c - 190 = 350. Let w = c - -97. Let i = 69 - w. What is the units digit of i?
7
Let l(z) = z**3 + 30*z**2 - 56*z - 207. What is the hundreds digit of l(-22)?
8
Let s be 6/(13/2 + -5). Suppose 3*z - s = 2*z, 270 = t + 3*z. Let g = t - 155. What is the tens digit of g?
0
Let r = 860 + -869. What is the hundreds digit of (15/10)/(r/(-7290))?
2
Suppose -17*j + 426 + 271 = 0. Suppose -j*z = -19089 + 2115. What is the units digit of z?
4
Suppose -3*s + 69 + 129 = 0. Suppose 0 = -n + 13 + 15. Let l = s + n. What is the tens digit of l?
9
Suppose 159*k - 112091 = -4*v + 160*k, 0 = -5*k + 25. What is the ten thousands digit of v?
2
Suppose 0 = -3*d + 5*b + 16291, 6093 + 10182 = 3*d + 3*b. What is the thousands digit of d?
5
Suppose 0 = -21*x + 11*x. Suppose -7*v + 2262 + 1308 = x. What is the hundreds digit of v?
5
Let n be (-11)/55 - (-106)/5. Suppose -5*f = -4*c - 27, -4*f + c = -2*c - n. Suppose 176 = 2*x - 0*u + u, 372 = 4*x - f*u. What is the tens digit of x?
9
What is the ten thousands digit of (384867/(-1435))/((-6)/650)?
2
Suppose -6*u - 3*f + 18762 = 0, -3*u + 8829 = -f - 542. What is the tens digit of u?
2
Suppose -4*m + 183957 = -614*h + 611*h, 3*m - 138015 = -3*h. What is the tens digit of m?
9
Suppose -145*b + 3646033 = -3647467. What is the tens digit of b?
0
Suppose 39 = 4*o + 3*a - 6*a, -5*o = 2*a - 20. Suppose -o*t + t + 45 = 0. Suppose -8*y = -t*y + 82. What is the units digit of y?
2
Suppose -36*l + 5*u - 96415 = -41*l, -l + 4*u = -19283. What is the hundreds digit of l?
2
Let o = -486 - -501. Suppose h - 607 = s, -12*s - 1803 = -3*h - o*s. What is the tens digit of h?
0
Let r(a) = 852*a - 3891. What is the units digit of r(22)?
3
Let q be (5 - 56/12)*(7 - 1). Suppose b - 156 = q*k, -640 + 180 = -3*b + 2*k. What is the units digit of b?
2
Suppose -7*x - 10*x + 29203 = 2*x. What is the tens digit of x?
3
Let n(l) be the first derivative of l**3 - 13*l**2/2 - 20*l - 8. Let u be n(14). Suppose -3*o = -a + 6*a - u, -5*o - 331 = -4*a. What is the units digit of a?
9
Suppose 26*l + 348208 = 8*q + 30*l, 0 = -4*q - 5*l + 174116. What is the hundreds digit of q?
5
Suppose -117*x - 45*x - 252056 + 1840628 = 0. What is the hundreds digit of x?
8
Suppose 3*u + 4 - 13 = 0. Let l be (14 - -6)/(-4)*-2*16. Suppose 3*p - 3*d - l = -d, -u*p + d + 155 = 0. What is the tens digit of p?
5
Suppose 6*c - 7257 - 7485 = 0. What is the hundreds digit of c?
4
Let z be (-2)/(-3)*(-117)/(-26) + 3381. Suppose 828 = 13*t - z. What is the hundreds digit of t?
3
Let u = -682 - -6199. What is the tens digit of u?
1
Suppose 5*l + 47 = o - 0*l, -l + 93 = 3*o. Let r be 2*-4*(-12)/o. Suppose r*t - 223 = -19. What is the tens digit of t?
6
Let w = 144911 - 81659. What is the thousands digit of w?
3
Suppose 5*k - 9 = a, 2 = 2*k - 2*a - 0. Suppose k*j = -s - 2 + 32, 3*j + 65 = 4*s. What is the units digit of s?
0
Suppose 23*y - 1030 = 27*y + 2*f, 0 = -4*y + 2*f - 1050. Let u(z) = -22*z**3 - 3*z**2 + 2*z - 1. Let w be u(2). Let r = w - y. What is the units digit of r?
5
What is the units digit of 2/((-4)/10) - (-4 - 5510)?
9
Let u(k) = -9981*k - 2559. What is the ten thousands digit of u(-5)?
4
Suppose 3*b - 4*k - 856 = 0, 1068 = 4*b - k - 95. Let p = -153 + b. Let c = p - 20. What is the hundreds digit of c?
1
Let q(z) = -6*z - 8. Suppose 2*v = 5*o - 68 + 12, -2*v = 6. Let m be (-4)/o - (-36)/(-10). What is the tens digit of q(m)?
1
What is the thousands digit of (7250 - 5) + (4 - 5)*7?
7
Let h(d) = d**3 - 80*d**2 - 162*d - 280. Let k be h(82). Suppose 0 = t - 2*t - 153. Let l = k - t. What is the units digit of l?
7
Let l(k) = k**3 - 75*k**2 + 211*k - 763. What is the hundreds digit of l(74)?
3
Let g(n) = n**2 - 8*n + 5. Let r be g(8). Suppose -r*x + 542 = 3*y, y = 4*x + 132 + 43. What is the tens digit of y?
7
Let o(r) = -4072*r - 366. What is the units digit of o(-2)?
8
Let k be 17/51 - (10/(-6) + 2). Suppose k = -14*n + 17*n - 180. What is the units digit of n?
0
Let j be (-92)/6*(