m be (-1)/4 - (-1 + 189/r). What is the units digit of (-6)/(-15) - m/(-5)?
0
Suppose 0*r + 3*r = 12. Let m(z) = 38*z**2 + 7*z + 6. What is the units digit of m(r)?
2
Let j be (-4360)/28 + -4 + (-4)/14. Let a = j + 691. What is the hundreds digit of a?
5
Let t(j) be the third derivative of j**5/60 + 41*j**4/24 + 7*j**3/2 - 2*j**2. Let y(c) be the first derivative of t(c). What is the units digit of y(20)?
1
Suppose -8*b + 9*b + 3*q - 22 = 0, -16 = -3*b + q. Suppose -b*u = 14*u - 6825. What is the hundreds digit of u?
3
Suppose -u + 2*r + 10 = -12, 5*u + 4*r = 40. What is the tens digit of ((-9)/u)/(12/(-256))?
1
Let m(t) = -188*t + 822. Let c be m(4). Let h(n) = -n - 3. Let b be h(-3). Suppose -c = -u - b*u. What is the units digit of u?
0
Let g = 62070 + -31008. What is the hundreds digit of g?
0
What is the hundreds digit of (30 - -10)/(-5) - -2497?
4
Let m = 15948 + -1848. What is the tens digit of m?
0
Suppose -3*c = 5*r - 389724 + 79969, 0 = -4*r + c + 247787. What is the ten thousands digit of r?
6
Let k(y) = -19*y - 6. Let b be k(-4). Let n = -71 + b. What is the units digit of n + 96*(3 + 9/(-4))?
1
Suppose -3576 = 15*d - 18*d. Suppose 5*p = d + 18. Suppose -44*j = -42*j - p. What is the units digit of j?
1
Let p = -142 - -282. Suppose 173 = -5*n - 222. Let q = n + p. What is the units digit of q?
1
Let a(i) = -66*i + 7. Let s be a(-7). Suppose -2*d + 3*v + 445 = 0, 0 = 2*d + 3*v + 2*v - s. What is the hundreds digit of d?
2
Let l = -241 + 224. Suppose 2*q + 188 = 6*q. Let p = q + l. What is the units digit of p?
0
Let a be ((-2)/(-1))/((-579)/581 + 1). Suppose -10*w + a = -1409. What is the tens digit of w?
9
Suppose -4*m - 12 = 5*g, -2*m - 7*g = -2*g + 6. What is the tens digit of (2293 + m)*2/4?
4
Let x = 984 + 1848. What is the hundreds digit of x?
8
Let p(i) = -i**3 + 19*i**2 + 20*i + 4. Let s be p(20). Suppose 0 = -2*v - s - 2. What is the tens digit of -6*(65/v - 4)?
5
What is the hundreds digit of (3/15)/((-20)/(-546900))?
4
Let g(k) = -23*k + 932. Let n be g(6). Suppose 0 = -4*p + 130 + 54. Suppose -p + n = 4*u. What is the hundreds digit of u?
1
Suppose 3079 = 3*d - 1517. Suppose -548 = -8*c - d. What is the tens digit of c*((-2)/(-6))/(-1)?
4
Suppose -u + 5*z = 4 - 45, 0 = -u + 3*z + 51. Let x = 72 - u. Let t(m) = -m**3 + 7*m**2 + 10*m - 13. What is the tens digit of t(x)?
8
Let h(k) = -6892*k + 62. What is the hundreds digit of h(-1)?
9
Suppose -4*p + 18000 = 19*k - 11*k, 5*k = 0. What is the tens digit of p?
0
What is the tens digit of (117502/(-245))/((-3)/30)?
9
Let o = -4 - -59. Suppose 40 = 54*u - o*u. Let k = 43 + u. What is the units digit of k?
3
Let b = -2774 + 9975. What is the hundreds digit of b?
2
What is the hundreds digit of (35/70)/(1053065/175510 - 6)?
5
Let v = 44 - 42. Suppose q + 0 = -3*i + 14, -4*i + v*q = -2. Suppose -119 - 103 = -i*h. What is the tens digit of h?
7
Let u(w) = 2*w**3 - 3*w**2 - w - 5. Let n be u(3). What is the tens digit of (n - 11)*((-410)/(-4))/5?
6
Let d = -4300 - -7087. Let z = d - 1543. What is the thousands digit of z?
1
Let d be 14/(-2*(-2)/28). Let m be (d/21)/((-4)/(-150)). Let i = -120 + m. What is the units digit of i?
5
Let i(f) = f**2 + f + 3. Let w = -14 + 59. Let v = -40 + w. What is the units digit of i(v)?
3
Suppose 243 - 1671 = 21*r. Let c = 326 - 184. Let p = c + r. What is the units digit of p?
4
Let p(y) = -294*y**3 - y**2 - 5*y - 3. Suppose x + 4*x - 3*q - 1 = 0, -2*x + 4*q + 6 = 0. What is the units digit of p(x)?
5
Let g(z) = -z**3 - 7*z**2 + 9*z + 8. Suppose -3*h + 4 = 3*o + 22, o - 9 = 2*h. Let f be g(h). Let y = f - -293. What is the units digit of y?
6
Let b = 265 + -186. Let d = 25 - b. Let v = 90 + d. What is the tens digit of v?
3
Let g be 2 - 4*((-33957)/28 - 4). What is the hundreds digit of (g/18)/(1/6)?
6
What is the units digit of 10/((-120)/(-248289)) + 6/(-6 + 30)?
1
Let c(s) = s**3 + 24*s**2 + 26*s + 193. What is the ten thousands digit of c(29)?
4
Let u(g) = g**2 + 7*g - 50. Let l(i) be the second derivative of -i**4/12 - 4*i**2 + 9*i. Let y be l(3). What is the hundreds digit of u(y)?
1
Suppose -c + 42 = q, 0 = -5*c + 4*q + 43 + 122. What is the tens digit of (-8 - -5 - 63)*c/(-2)?
2
Let h be (-187)/(-21) + (-6)/(-63). What is the units digit of (-390)/(-9) + 1 + 6/h?
5
Let s(l) = -35572*l**3 + 15*l**2 + 17*l. What is the tens digit of s(-1)?
7
Suppose -15*u = -58588 - 80837. What is the units digit of u?
5
Suppose -s = 341 - 1881. Suppose -15*u + s = -335. What is the tens digit of u?
2
Let s = 17673 + -11552. What is the tens digit of s?
2
What is the thousands digit of (32/256)/(5/156920)?
3
Let h(t) be the second derivative of -209*t**3/3 + 5*t**2 + 2*t - 10. What is the hundreds digit of h(-1)?
4
Let s be (-3 + (-84)/(-20))*540/(-4). Let l = s + 173. What is the units digit of l?
1
Let g(o) = o + 7. Let v be g(-2). Suppose w + 1560 = v*w. What is the tens digit of w?
9
Let b = -406 - -404. What is the thousands digit of ((-1287)/65)/(b/130)?
1
Suppose 465232 = -187*u + 102*u + 101*u. What is the tens digit of u?
7
Suppose -5*l - 46468 = -4*z - 6113, -5 = -l. What is the tens digit of z?
9
Let y(t) = -3*t**2 + 1037 + 95*t - 2122 + 17*t**2 + 1057. What is the hundreds digit of y(-13)?
1
Let y = -80 - 60. Suppose p - 320 = 5*p. Let s = p - y. What is the tens digit of s?
6
Let j = 4728 + -3060. Let w = -815 + j. What is the tens digit of w?
5
Suppose 0 = -8*t + 31 - 7. Suppose 0 = -4*s - t*b + 2371, -2*s - 2*b + 518 = -668. What is the units digit of s?
2
Let z(k) = -k - 11. Let u be z(-5). Let b(j) be the third derivative of -j**6/120 - j**5/15 - j**4/12 + j**3 + 181*j**2 - 2. What is the units digit of b(u)?
0
Let n(a) = 3*a**3 + 6*a**2 - 4*a - 52. Let c(t) = -t**3 + t**2 + 10*t - 5. Let g be c(3). What is the units digit of n(g)?
3
Let j(b) = b**3 + 5*b**2 - b + 6. Let u be j(-5). Let d(r) be the third derivative of 5*r**4/12 - 9*r**3/2 + 63*r**2. What is the tens digit of d(u)?
8
Let w(j) = j**3 - 2*j**2 + 2*j + 21. Let m(k) = -k**3 - 18*k**2 - 33*k - 16. Let t be m(-16). Let a be t/(9 - (2 - -3)). What is the units digit of w(a)?
1
Let d be 15/(-5) - 5/(-1). Suppose -31*h = -28*h + d*z - 3301, -h + 5*z = -1106. What is the thousands digit of h?
1
Let r(v) = v**3 - 29*v**2 - 15*v - 17. Let f = 324 + -294. What is the hundreds digit of r(f)?
4
Suppose 3*i - 8388 = -5*v - 550, 5*i = -4*v + 13072. Suppose 13*l - i = 9*l. What is the hundreds digit of l?
6
Let k(m) = 43*m**2 - 71*m - 262. What is the thousands digit of k(23)?
0
Let w(z) = 6*z - 6. Let r be w(8). Let n = 44 - r. Suppose 5*c = 4*g + 616, 2*c - 357 = n*g - 109. What is the hundreds digit of c?
1
Suppose -96*v - 151*v - 94*v = -6304749. What is the tens digit of v?
8
Let u = -72578 - -121392. What is the units digit of u?
4
Suppose 5*m + 11 = -4. Let d(t) be the third derivative of 11*t**5/60 + t**4/4 + t**3 + 2*t**2. What is the tens digit of d(m)?
8
Suppose 3*q = -n - 3*n - 8957, 4*q + 11921 = -n. What is the tens digit of q/6*2*2/(-6)?
3
Let d(s) = 24*s**2 + 299*s + 24. What is the units digit of d(-38)?
8
Let g = 304 - 284. Suppose 2620 = -g*x + 25*x. What is the tens digit of x?
2
Suppose -24*m + 29*m - 1655 = 0. Let a = 504 - m. What is the units digit of a?
3
Let x = -208 - -61. What is the hundreds digit of (-5538)/(-7) + 168/x?
7
Let h(r) = -r**2 + 16*r - 3. Suppose -4*o = 85 + 67. Let d = -25 - o. What is the units digit of h(d)?
6
Suppose d + 4 = 0, 11*x - 73*d - 483227 = -71*d. What is the hundreds digit of x?
9
Suppose 3*h - 15 = -4*z, -4 = -3*z - h + 6*h. Suppose g + 3*u - 149 - 23 = 0, z*g = u + 506. What is the tens digit of g?
6
Suppose -4*m = 13*o - 8*o - 78293, 3*m + 20*o - 58801 = 0. What is the tens digit of m?
6
Let x = 550 + -356. Suppose -99*d + x = -98*d. What is the tens digit of d?
9
Suppose 4*a - 3*a - 4*l = -1148, -4*a - 4632 = 4*l. Let s be (a/16)/((-3)/36). Suppose -4*i + s = 139. What is the hundreds digit of i?
1
Suppose z = 4*y - 7, -z + 3*y - 8 = -0. Let c(s) be the third derivative of -s**4/6 - 11*s**3/3 - 105*s**2. What is the units digit of c(z)?
2
Let r be (2/(-12)*-2)/(12/(-72)). Let m(h) = -143*h**3 - h**2 - h + 6. What is the tens digit of m(r)?
4
Suppose -203*d = -205*d - 128. What is the tens digit of (-15)/4*d/3?
8
Let t be 144942