v(g) be the third derivative of -3*g**4/4 - 7*g**3/3 - 2*g**2. What is the units digit of v(r)?
0
Let h = 11522 + -8102. What is the units digit of h?
0
Let c = 43493 + -13902. What is the thousands digit of c?
9
Suppose 5*u = x + 223, -3*u + 930 = -5*x - 229. Suppose -533 = 3*y - 215. Let j = y - x. What is the units digit of j?
7
Let h(u) = u**3 - 51*u**2 + 125*u - 252. What is the tens digit of h(51)?
2
Let w = -75 + 81. Suppose -j + 5*g = -105, w*j - 3*j + g - 331 = 0. Suppose -4*u = n - j, -2*n = -2*u + 13 - 253. What is the tens digit of n?
1
Let g = -6 + 6. Suppose -10*f - 1099 + 159 = g. Let a = f + 149. What is the units digit of a?
5
Suppose 0*i = -i + 6. Suppose 5*w = o + 1022, -w + 2*o + o + 196 = 0. Suppose -i*s + w = -s. What is the tens digit of s?
4
Let g(z) = -z**2 + 34*z + 6. Let h be g(22). Suppose -h = 3*u + 6*u. What is the units digit of 6/(-45) - 184/u?
6
Let p be 0 + (-2)/14 + 78/546. Suppose p = 20*q - 12679 - 11541. What is the tens digit of q?
1
Suppose g + 2*p = -p + 187, -4*g = 2*p - 718. Let t = 111 + g. What is the units digit of t?
9
Let y(l) = 350*l - 796. What is the thousands digit of y(14)?
4
Let i = -34 - -262. Let n = 1303 - i. What is the tens digit of n?
7
Suppose 1987 = -47*d + 7298. Suppose 4*y + 3*z = -101, -6*y + 2*y - 4*z = 96. Let j = d + y. What is the units digit of j?
4
Suppose 2*g - 2102 = 1228. Suppose 371 - g = -2*z - 4*v, -15 = -3*v. What is the units digit of z?
7
Let w = -30 + 118. Suppose -z = 3 + 9. Let n = z + w. What is the units digit of n?
6
Let v = -995 - -1735. What is the units digit of v?
0
Suppose -5*h = 45, 35*c + 307395 = 39*c - 3*h. What is the tens digit of c?
4
Let m(j) = 2*j**3 - 6*j**2 - 2*j + 8. Let d be m(4). Let t = -33 + d. Let x(i) = -41*i**3 + 2*i + 1. What is the tens digit of x(t)?
4
Suppose 2550 = 10*x - 5*x. Suppose 16*d - 2958 = -x. Suppose -q - d = -2*t, 3*q = t - 23 - 46. What is the tens digit of t?
7
Suppose 27*k = 9*k - 10170. Let p = k - -1881. What is the thousands digit of p?
1
Let g be (2 + 0)*1 + -477. Let v = g - -825. What is the units digit of v?
0
Suppose -l + 5*f + 3194 = 0, -2*f + 8002 - 1614 = 2*l. Suppose 259*h + l = 261*h. What is the units digit of h?
7
Let y(o) = -77*o**2 + 26 - 28*o - 3*o**3 - 79*o**2 + 141*o**2. What is the units digit of y(-8)?
6
Let h(m) = -2*m**3 - 14*m**2 + 24*m. Let l be h(-13). Suppose 7*d - d = l. What is the hundreds digit of d?
2
Suppose -9*z - 4*j = -4*z - 24696, -8*z + 39516 = 4*j. What is the thousands digit of z?
4
Suppose 17*l - 4*l - 105228 - 13501 = 0. What is the tens digit of l?
3
Let s = -94 - -58. Let f be (-233)/(-5) + 2/5. Let i = s + f. What is the units digit of i?
1
Let j = 104 + -59. Let n = j + -42. Let k(x) = 38*x + 14. What is the units digit of k(n)?
8
Let u(v) = 4*v**2 - 34*v + 74. Let n be u(8). Suppose 0 = -n*p + 68*p - 7930. What is the tens digit of p?
9
Suppose 95075 = 5*w + 5*s, w = -2*s + 18074 + 945. What is the thousands digit of w?
9
What is the hundreds digit of 10919 + -21 + 13 + 18?
9
Let v = 121398 + -41454. What is the ten thousands digit of v?
7
Let l = -144 + 162. What is the units digit of -38*(-27)/l + 1*-3?
4
Suppose -61*t = -0*t - 1558611. What is the thousands digit of t?
5
Suppose 4*u + 3*t = -0*t + 1667, 3*t + 9 = 0. Suppose -8*j = -5*h - 3*j + 425, j - u = -5*h. Let r = 19 + h. What is the units digit of r?
3
Let i be 4 + -8 + -5 + 212. What is the hundreds digit of (i/(-29) + 1*5)*-370?
7
Suppose -25*o + 358159 = -308281 - 67910. What is the hundreds digit of o?
3
What is the units digit of (1637604/5664)/(2/16)?
3
Let g = 49 - 43. What is the tens digit of (g/(-5))/(8/(-2140))?
2
Let p = 31 + -22. Let x be ((-3)/12)/(p/(-72)). Suppose f - n = 107, 4*n = 5*f - x*f - 317. What is the tens digit of f?
1
Suppose 66*d - 171739 + 51223 = 0. What is the tens digit of d?
2
Let u(h) be the second derivative of h**4/6 - 5*h**3/6 + 5*h**2/2 - 22*h. Let m be u(-6). Suppose 0 = 5*z + 5, r - z = 4*r - m. What is the tens digit of r?
3
Let q(n) = 4*n**2 + 13*n - 18. Let k = 276 - 266. What is the tens digit of q(k)?
1
Let f(b) = b**3 - 3*b**2 + 7*b - 7. Let y be f(2). Suppose y*o + 2*m = -o + 1612, 0 = -4*m + 8. What is the units digit of o?
2
Suppose 3*w + 3*m = 7743, 11*w - 10316 = 7*w - 2*m. What is the units digit of w?
7
Suppose g - 10 = 5*q + 5*g, q = -2*g - 8. Let u(d) = 6*d + 6*d**2 + q*d - 6*d + 21. What is the tens digit of u(-4)?
0
Suppose d + 7*d - 608 = 0. Let g = d - 74. Suppose g*y = 4*a + 53 - 359, 0 = 3*a + 5*y - 262. What is the units digit of a?
9
Suppose 0 = -0*o - 7*o - 63. Let y = 5 - -1. What is the units digit of (-7 - -10)*-21*y/o?
2
Suppose -4*z + d + 9 = 0, -5*z - d = -2*d - 11. Suppose 0 = -3*w + 6, -2*w + 2 = z*c - 3*c. Suppose -c*l + 8*l - 534 = 0. What is the units digit of l?
9
Let n = 48221 + -30584. What is the tens digit of n?
3
Let o = -33 - -73. Let b = o - 16. What is the units digit of (-6)/4 + 213*4/b?
4
Suppose 4*q = 11*q - 28. Suppose 0 = -3*d + q*d - 6. What is the units digit of (6 + (4 - 8))*195/d?
5
Let n(i) = -2 + 14*i + 3*i + 31*i + 25*i - 8*i**2. What is the units digit of n(6)?
8
Suppose -2*c - 15 = 2*x - c, -c + 5 = -2*x. Let q = x - -23. What is the hundreds digit of (4/q - 8612/36)/(-1)?
2
Suppose 3*z = -p + 22062, 3*p - 74*z - 66186 = -73*z. What is the hundreds digit of p?
0
Let c = 2097 + 3630. What is the units digit of c?
7
Suppose 127*b - 19598 = 125*b - 4*d, 3*b - 29391 = -5*d. What is the hundreds digit of b?
7
Suppose k + 60060 = 4*m, 5*m + 7*k = 12*k + 75075. What is the tens digit of m?
1
Suppose -55 = 6*p + 23. Let n(t) = 17*t**2 + 211*t + 11. What is the tens digit of n(p)?
4
Let k(u) = u**3 - 40*u**2 + 40*u - 23. Let h be k(39). Let c(j) = 61*j - 91. What is the units digit of c(h)?
5
Let s(l) = 9*l + 65. Let p be s(-7). Suppose -p*a = -13*a + 6160. What is the tens digit of a?
6
Let i(l) = -1 + 25*l - 8 + 924*l**3 - 4*l**2 - 923*l**3. What is the tens digit of i(8)?
4
Let b = -12473 - -26716. What is the thousands digit of b?
4
Let z = 473 + -468. Suppose 5*d + 7*j = 4795, 2*d - d + z*j - 977 = 0. What is the units digit of d?
2
Suppose -21*t = -17*t - 4, -o = -5*t - 3622. Suppose -11*n - o = -24*n. What is the hundreds digit of n?
2
Suppose 23*m - 25*m + 4*z = -4, 2 = 3*m - 2*z. Let h = 181 + -84. What is the units digit of (4 + m + -5)/((-1)/h)?
7
Suppose -5 - 10 = -5*k. Let c be -4 + (-3)/(k/(-4)). Suppose c = 22*r - 18*r - 348. What is the tens digit of r?
8
Let u be (-316904)/140 - (-3)/5. Let v = u - -3253. What is the hundreds digit of v?
9
Let n = 101808 + -27884. What is the ten thousands digit of n?
7
Suppose 0 = -2*w + 5*j + 4 - 13, 0 = 2*w - 3*j + 3. Suppose -316 - 358 = -x + 5*a, -3392 = -5*x + w*a. What is the tens digit of x?
7
Let x = -29 - -55. Let d = 6673 + -6720. Let q = x - d. What is the tens digit of q?
7
Let h = 724 + -230. Let q = h + -26. What is the tens digit of q?
6
Suppose 108040 + 439067 = 9*j - 50763. What is the thousands digit of j?
6
Let o = 2619 + -750. Suppose 0 = -6*g + o + 351. Suppose 0 = 2*c + 2 - 10, -3*b = -5*c - g. What is the hundreds digit of b?
1
Suppose 0 = 8*q - 476 + 2516. Let u = -110 - q. What is the tens digit of u?
4
Suppose -5*x + 7115 = -4*f, 3*x - 4306 = -12*f + 7*f. What is the hundreds digit of x?
4
Suppose 0 = 10*b - 12*b + 10. Let t(i) = -i + 2. Let f be t(b). What is the units digit of (-2)/f + (-1)/((-6)/176)?
0
Let l = -27 - -17. Let j be 6354/90 - 4/l. Suppose -4*g + 2*b = -106, 3*b + 2*b = -2*g + j. What is the units digit of g?
8
Let x(w) = -11*w + 62*w**2 + 6 - 2*w - 19 + 271*w**2. What is the units digit of x(-1)?
3
Suppose 2*n - 22 = -3*u - 2*n, -5*u - 10 = -5*n. Let i(y) = 3*y**2 + 10*y - 4*y**u - 4*y + y**3 - 7*y + 132. What is the units digit of i(0)?
2
Suppose -5*b = 2*v + v - 38959, -15580 = -2*b - 3*v. What is the units digit of b?
3
Let d(g) = -110*g + 68. Let r be d(-4). Let a = r - -238. What is the units digit of a?
6
Let m = 544 - 464. Suppose -72*r = -m*r + 7632. What is the tens digit of r?
5
Suppose -5*f - 181 + 6 = 0. Let v = -80 + 85. What is the units digit of (-2 - (-28)/v)/((-14)/f)?
9
Let k(c) = -6*c + 63. Let p be k(-19). Suppose 4*a + w - 5 = 0, -5*a + 0*a + 19 = -3*w. What is the units digit of ((-2)/a)/((-3)/p)?
9
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