Let i be (-8)/14 - 3744/(-672). Suppose 3*m - r = -0*m + 2588, -i*m - 2*r = -4317. What is the hundreds digit of m?
8
Let t = -103 - -106. Suppose -4*i = t*i. Suppose -j = -2*l + 372, i = -4*l + 3*j - 2*j + 746. What is the tens digit of l?
8
Let p = -105 + 231. Suppose -131*o + 2185 = -p*o. What is the units digit of o?
7
Suppose -130381 - 392680 = -11*t. What is the hundreds digit of t?
5
What is the tens digit of (-99)/(-6)*4*458/4?
5
Let q(l) = -2*l**3 - 35*l**2 + 40*l - 12. Let t be q(-21). Suppose -150*g = -155*g + t. What is the units digit of g?
7
Let k be (-10)/35 - 3/(-21)*-292. Let y be (-70)/(-3)*4/(-20)*k. Suppose -10*d = -11*d + y. What is the units digit of d?
6
Suppose -w - 4*n = -6*w + 451, n = 1. Suppose 0 = -w*k + 89*k + 434. Let i = -6 + k. What is the hundreds digit of i?
2
Suppose 2*i + 0*i - 22132 = -3*j, 0 = -i - j + 11069. What is the units digit of i?
5
Suppose 16*b = 11*b + 15. Suppose b*k - 1182 = -m, 2*k + 2*m = 380 + 412. What is the tens digit of k?
9
Let v(i) = -8*i**2 - 30*i - 30. Let a be v(-12). Let j = -368 - a. Suppose 4*y - j = -2*f, -110 = -y - 0*y - 4*f. What is the tens digit of y?
1
Let t(v) be the first derivative of v**4/4 - 8*v**3/3 - 6*v**2 + v - 118. What is the units digit of t(12)?
3
Suppose 0 = -n + 128*o - 123*o + 11978, n = -o + 11984. What is the thousands digit of n?
1
Let q(b) = -5*b**3 + 3*b**2 - 8*b - 14. Let k be q(-5). What is the hundreds digit of (-66)/k - 32122/(-22)?
4
What is the tens digit of 28899/6 + 16/32?
1
Let d = 6741 - -3223. What is the units digit of d?
4
Suppose 0 = -5*u - 2*s + 4049 + 37947, 0 = u + 2*s - 8404. Suppose -8*l + 25*l - u = 0. What is the units digit of l?
4
Suppose -p = -2, -3*p = -5*i - 13 - 88. Let a be 2/(-1) + (-505)/(-5). Let f = a - i. What is the hundreds digit of f?
1
Let p = -271 - -597. Let k = -8 + p. What is the units digit of k?
8
Suppose -2*f + 3*c + 36 = 0, 17*f - 116 = 13*f - 5*c. Suppose 19*o - f*o + 5628 = 4*i, 0 = -2*i - 6. What is the hundreds digit of o?
1
Suppose 13*i - 26*i = 11*i - 140184. What is the hundreds digit of i?
8
Suppose 2*f - 76518 = -4*w, 30*w - 29*w + f = 19132. What is the units digit of w?
7
Suppose 0 = -4*q + 1293 + 1015. Let w = q + -277. Suppose -y - 3*y + w = 0. What is the tens digit of y?
7
Let v(n) be the first derivative of 15 - 10*n + 37/2*n**2. What is the units digit of v(2)?
4
Let h(o) = -5*o - 45. Let a(r) = -r + 0*r + 157 - 2*r - 179. Let q(z) = 7*a(z) - 4*h(z). What is the tens digit of q(8)?
1
Suppose -2*r = t - 4190, 4*t + 68*r - 70*r = 16700. What is the tens digit of t?
7
Suppose -75*w + 1131089 = -1426111. What is the units digit of w?
6
Let m(h) = -h**3 + 11*h**2 - 8*h - 7. Let q be m(10). Suppose -11*f + q*f = -30. Let y(t) = t**2 + 9*t. What is the tens digit of y(f)?
9
Suppose 4*d - 6*o = -4*o - 138, -d = 3*o + 17. What is the tens digit of ((-10920)/d - -6)/((-3)/(-8))?
2
What is the ten thousands digit of 1 + 0 + 0 + 25563 + (-1368)/38?
2
Suppose i + j - 1866 = -j, 0 = -2*j + 8. Suppose 5*l - i = -198. What is the hundreds digit of l?
3
Suppose 0 = 6*v - 3*v - 4200. Let k(t) = 3*t**3 + 17*t**2 + 7*t + 1. Let u be k(-5). Suppose -8*l + u*l = v. What is the hundreds digit of l?
1
Let r = -144 - -145. What is the units digit of (-1406)/(-6) - 6*r/18?
4
Suppose 40*t + 4*t = 129040 + 290456. What is the thousands digit of t?
9
Suppose -3*l + 3*d - 1527 = 0, 5*d = -4*l - 104 - 1896. Let t = 537 + l. What is the units digit of t?
2
What is the hundreds digit of 410645/19 - 208/(-1976)?
6
Suppose 3*y - 484 = 392. Suppose -7*c + 954 + y = 0. What is the tens digit of c?
7
Let m = 82 + 136. Let t = 266 - m. What is the units digit of t?
8
Let o be 0*(0 - (-3)/6). Suppose -5*a + o*a + 20 = 0. What is the tens digit of -8*(-2)/a + 43?
4
Let s be (415/83 - 10/2) + (-9 - 0). Let u(d) be the third derivative of -d**4/6 + 4*d**3 + d**2. What is the tens digit of u(s)?
6
Let c(v) = 3*v**3 - 47*v**2 - 28*v - 24. What is the thousands digit of c(21)?
6
Let o be (-6)/6 + 2/2. Let v be (-1664)/(-6) - 2/(-3). Suppose -4*k - u = -v, o*k + 3*u = k - 63. What is the tens digit of k?
6
Suppose 2*a + 77 = -5*z - 281, -5*z - 370 = 5*a. What is the units digit of z/(-40)*(-120)/(-3)?
0
Let n(t) = -114*t + 172. Let r be n(25). Let v = -1839 - r. What is the units digit of v?
9
Let x = -2233 + 3396. Suppose 0 = 11*g - x - 971. What is the tens digit of g?
9
Let t = 1124 - 2371. Let o = t - -1852. What is the tens digit of o?
0
What is the thousands digit of (59 - 61)/((-4)/84990)?
2
Suppose -123*v + 114*v = -66303. What is the thousands digit of v?
7
Let w(s) = 9*s + 29. Let l be w(-3). Suppose -3 = -3*r + r - 3*i, 8 = l*r - 2*i. What is the units digit of r?
3
Let h(j) = 19*j + 41. Let c be h(-2). Let w(g) = 123*g**2 + 33*g - 87. What is the thousands digit of w(c)?
1
Let q be 2/10 + (-9)/(-5). Suppose 4*s = -8, 0 = -5*c - q*s + 1792 - 91. What is the units digit of c?
1
Let f(x) = -33*x + 1289. Let u be f(0). Let b = u + -915. What is the hundreds digit of b?
3
What is the tens digit of (1 - 2)/2*(-8)/(-4)*-2473?
7
Suppose -6 = -6*k + 24. Suppose -2*p - 14 = -k*t + t, -t - 2*p = 4. Suppose -5*a = -5*d - 610, 106 = a - 3*d - t*d. What is the hundreds digit of a?
1
What is the units digit of ((-62)/3)/((18/57645)/(4/(-20)))?
7
What is the units digit of 15/(((-81)/(-6))/(-3))*(-25392)/20?
2
Suppose -12232*g - 3118096 = -12285*g. What is the hundreds digit of g?
8
Let a be (-35)/(-6 - -1)*(-18)/21. What is the units digit of (-229)/(a/(-48)*-4)?
8
Let u = 96 - 96. Suppose -g + 3*g - 4*s - 1284 = u, -5*s + 15 = 0. What is the hundreds digit of g?
6
Suppose -2*g - 1 = -3. What is the tens digit of 1/(((-34)/(-10081))/(1 + g))?
9
Let x = 1106 - -5005. What is the hundreds digit of x?
1
Let g(n) be the third derivative of n**5/15 + n**4/3 + 5*n**3/6 - 157*n**2. Suppose -7 = 5*f + 2*o + 18, -5*o = 5*f + 25. What is the units digit of g(f)?
5
Suppose 0 = 3*i + 4*c + 604, 0 = 3*i - c - c + 634. Let q = 404 + i. What is the units digit of q?
6
Suppose -x - 4*x - 60 = -5*s, 5*s - x - 40 = 0. Let t be 5/(-20) - 681/(-4). Suppose -2*o + s*o - t = 0. What is the tens digit of o?
3
Suppose -956004 = -272*v + 251*v. What is the thousands digit of v?
5
Let p(i) = 29*i**2 + i - 579. What is the thousands digit of p(27)?
0
Let j = -196 + 181. What is the hundreds digit of 1 + 85*15*(-5)/j?
4
Suppose 0 = 5*p - 9*p + 40. Suppose -y = -120 + p. Suppose 0 = -4*w + l + y + 6, 3*w - l - 86 = 0. What is the units digit of w?
0
Let s = 220 - 209. Suppose -5*t = m - 1060, 6*m + 5*t = s*m - 5360. What is the units digit of m?
0
What is the units digit of (24/(-80)*-14236)/((-2)/(-10))?
4
Suppose 0 = -22*j - 1485 + 2189. Let g be 6*3*2/9. Suppose -g*d + j = -2*d. What is the units digit of d?
6
Suppose 15*r + 3*g + 255 = 11*r, -2*r - 2*g - 126 = 0. Suppose 0 = -2*y + 21511 + 4865. What is the hundreds digit of 4/22 - y/r?
2
Suppose -2*m + 5*m - 12 = 0. Suppose -4*r - 420 = -4*c, -r - 421 = -4*c + m*r. Suppose -5*w = -409 + c. What is the tens digit of w?
6
Let a(x) = -x**2 + 3*x + 2. Let w be a(4). Suppose 0 = 4*d + 2*u - 6, 0 = 15*d - 17*d + 2*u + 12. Let l = w + d. What is the units digit of l?
1
Let f(c) = -c**3 + 24*c**2 + 33*c + 72. Let r be f(25). Let w = r - -91. What is the hundreds digit of w?
3
Suppose -3*o - 13 = 5. Let n be 1*-30*46/o. Suppose 0 = -6*m + n + 280. What is the units digit of m?
5
Let o(s) = 23*s - 26. Let b be (-16)/(-4 + -3 + (3 - -2)). Let c be o(b). What is the tens digit of (4 - 8) + c + -3?
5
Let m be ((-104)/(-6))/(60/45). Suppose 237 = j - 2*a, -j + 245 = -17*a + m*a. What is the tens digit of j?
2
Let m(x) = -39*x - 23. Let b(a) = -20*a - 11. Let z(s) = -9*b(s) + 4*m(s). Suppose u - 5*l = 12 - 14, 3*u - l = 8. What is the tens digit of z(u)?
7
Let f(z) = -11*z - 44. Let r be f(-5). Let g(q) = 3*q**2 + 8*q + 5. What is the hundreds digit of g(r)?
4
Suppose 2*r - 1778 = 2462. What is the thousands digit of r?
2
Suppose 0*z = -4*z + 12. Suppose 1254 = 2*y + z*n, 23*y = 25*y - 5*n - 1222. What is the tens digit of y?
2
Let l(m) = -136*m + 3109. What is the hundreds digit of l(-13)?
8
Let j be -2*(-107)/(-2) + -1. Let i(l) = 3*l**2 - 136*l + 180. Let h be i(43). Let t = j - h. What is the units digit of t?
3
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