t g(r) = -67*r - 9. Let h(t) = -34*t - 4. Let v(p) = -3*g(p) + 5*h(p). Suppose -a - 2*a + 12 = 0. What is the units digit of v(a)?
1
Let m(l) = l**2 + 5*l - 27. Suppose 4*v - 3*k + k + 36 = 0, -2*v - 5*k = -6. Let y(b) = -5*b - 53. Let r be y(v). What is the hundreds digit of m(r)?
2
What is the thousands digit of 3789702/722 + (-4)/(-38)?
5
Let c = -5059 + 17299. What is the ten thousands digit of c?
1
Suppose -169 - 820 = 23*i. Suppose 131 + 21 = q. Let p = q + i. What is the units digit of p?
9
Let i(p) = -34*p**3 + 7*p**2 - 10*p - 4. Let v(n) = -n**3 + n**2 - n. Let w(u) = i(u) - 6*v(u). Suppose -238*r + 16 = -246*r. What is the tens digit of w(r)?
3
Suppose -3*h + 241 = 2*t, 2*h - 149 = 17*t - 16*t. Let f = h + 23. What is the units digit of f?
0
Suppose -7 = -5*u + 18, 4*d = 2*u + 1446. What is the units digit of d + 1*-1*0/2?
4
Let z be (-5)/(-2)*((-336)/15)/(-8). Suppose -145 - 247 = -z*c. Suppose 5*a = 4 + c. What is the units digit of a?
2
Let g be 63/(-6)*28/21. Let a(p) = -61*p - 149. What is the hundreds digit of a(g)?
7
Suppose c = -4*f + 19, -2*c + 11 = 5*f - 9. Let b(s) = s - s**3 - f*s**2 + 3*s**2 + 4*s**2 - 2. What is the units digit of b(-4)?
4
What is the thousands digit of ((-13)/(546/324))/(2 + 3422/(-1708))?
2
Let l(z) = -1000*z + 80. Let i(b) = 37*b - 3. Let d(a) = 55*i(a) + 2*l(a). Let y be d(-2). Let t = y + 195. What is the tens digit of t?
2
Let z(f) = f**2 - 58*f + 28. Let d be z(29). What is the units digit of 2/18*-3*d?
1
Suppose -i + 5 = -2*h + 6, -18 = -2*i - h. Let c(q) = 22*q**2 - 15*q + 56. What is the tens digit of c(i)?
2
What is the units digit of (-14)/6*(-49)/((-147)/(-13086))?
8
Let k(f) = f + 18. Let b be k(-23). Let p(q) = -8*q**3 - 6*q**2 + 4*q - 6. What is the hundreds digit of p(b)?
8
Suppose w - 4*v - 9 = -0*w, w + 5*v = 0. Suppose 0*k + 3*k + 4*x = 2318, w*k + x = 3835. What is the units digit of k?
6
Let w = -89 - -96. Suppose w*i - 1080 = 747. What is the hundreds digit of i?
2
Let u = 138 + -136. What is the tens digit of ((-1)/((-16)/524))/(u/16)?
6
Let t(n) = 16 - 7*n + 0*n + 6*n + 5. Let g be t(17). Suppose j - 4*j + 3*y + 288 = 0, 3*j = -g*y + 260. What is the tens digit of j?
9
Suppose 204*q - 709469 - 6541244 - 1805663 = 0. What is the hundreds digit of q?
3
Suppose 8*d + 4*m = 3*d + 7527, -5*m = 3*d - 4524. Let s = -764 + d. What is the tens digit of s?
3
Suppose 37 = m - 8. Suppose 5*w = 3*y + 3*w - 45, 4*w = -3*y + m. What is the units digit of (-8)/3*y/(-4)?
0
Suppose 5*x = j - 11, 5*x + 3*j = j - 8. Let o(b) = b**2 - b - 3. Let q be o(x). What is the units digit of (-300)/16*(-1 - q)?
5
Let d(f) = -18*f**3 - 19*f**2 - 98*f - 109. What is the thousands digit of d(-10)?
6
Suppose 0*t + 3*t + l - 16 = 0, 3*t + 3*l = 24. Let f = -18 + 18. Suppose f = 4*q + 2*u - 640, q - 813 = -t*q + 4*u. What is the hundreds digit of q?
1
Suppose 0 = -2*w - 3 + 11, 3*w + 42 = -3*q. Let d(k) = k**2 + 26*k + 10. Let o be d(q). Let n = o + 215. What is the units digit of n?
1
Suppose 5358 - 78038 = -8*k. What is the units digit of k?
5
Suppose 2*p - 1428 = -o - 2*p, -2*o - 3*p + 2881 = 0. What is the thousands digit of o?
1
Let b(m) = m**3 - 122*m - 8. Let f be b(-11). Suppose 2*n - 4*n + 680 = 0. What is the tens digit of ((-2)/(-6)*f)/(4/n)?
8
Let s = 33381 - 17420. What is the tens digit of s?
6
Suppose -2*l + 9128 = 2*c, -13*l - 9*c = -12*l - 4556. What is the thousands digit of l?
4
Let q be (678/9)/(22/(-6) - -4). Suppose 232*b - q*b = 1446. What is the hundreds digit of b?
2
Let n = -58 + 76. Let w(z) = 6*z - 62. Let p be w(n). Let v = -44 + p. What is the units digit of v?
2
Suppose 3*o + 41*p - 52764 = 37*p, 3*o - 52791 = 5*p. What is the thousands digit of o?
7
Let v(k) = 165*k**3 + 7*k**2 + 261*k - 1304. What is the hundreds digit of v(5)?
8
Let w(s) = -5*s - 33. Let f be w(-7). Suppose 290 = 7*x - f*x. Let h = x - 21. What is the units digit of h?
7
Suppose -175*n - 417015 = -13*n - 3797955. What is the units digit of n?
0
Let k(c) = -9*c + 8. Suppose 2*t - 1 = 11. Let f be -15 - (0 - -3)/6*t. What is the units digit of k(f)?
0
Suppose 0 = -35*m + 31*m - 5*s + 43430, -3*m + 32556 = s. What is the units digit of m?
0
Let h = 52 - 47. Let l be ((-6)/15)/((-1)/h). What is the units digit of (568/6)/(l/3)?
2
Let g be ((-4)/((-16)/12))/((-6)/20). Let t be 176/(-40) - 4/g. What is the units digit of -6*(-2)/t - -144*1?
1
What is the thousands digit of 24193 + -12 + -6 + -6?
4
Suppose -280 = 6*u + 662. Let w = u - -365. Let d = w + -53. What is the tens digit of d?
5
Suppose 5*b - 145 = -0. Let l = b - -198. What is the tens digit of l?
2
Let y be (-3 + (-6)/(-18))*(-249)/4. Let u = 362 - y. What is the tens digit of u?
9
Suppose -2*y + 2 = -2*a - 24, 0 = -4*y + 2*a + 52. Let v(r) = r**2 - 12*r - 15. Let t be v(y). What is the tens digit of ((-141)/(-2) + 3)*t/(-3)?
4
Suppose 3*r = 4*c - 32, 0 = -r + 4 - 8. Suppose c*n - 290 = 625. What is the hundreds digit of n?
1
Suppose -2*b = -3*t + t - 26, 4*t = b - 49. Let o be t/15*5/(-2). Suppose -8*d + 1260 = o*d. What is the units digit of d?
6
Let f(x) = 124*x - 377. What is the thousands digit of f(46)?
5
Suppose 35 + 125 = 8*d. Suppose 4*r + 5*n = -0*n + d, -2*n - 8 = 0. Suppose -r*z - 289 = -839. What is the units digit of z?
5
Let b = 489 - 492. What is the units digit of (-5 - (b + -3))*925?
5
Suppose -37 - 20 = -19*g. Let d be -33 - 0 - (-14 - -16). What is the units digit of ((-1695)/d - -2) + g/(-7)?
0
Suppose 0 = 32*v - 450781 + 60157. What is the tens digit of v?
0
Let r = 8492 - -2. What is the tens digit of r?
9
Let x = -4629 - -11580. What is the tens digit of x?
5
Let b(x) be the first derivative of 7/3*x**3 - 7/2*x**2 - 35 - 5*x. What is the units digit of b(4)?
9
Let c(g) = -490 + g**3 - g**2 + 3*g + 2*g**2 + 502. What is the hundreds digit of c(6)?
2
Let q(u) = 19*u + 3. Let y(x) = -x**2 + 14*x - 12. Let n be y(12). What is the hundreds digit of q(n)?
2
What is the hundreds digit of -21 + 18634 + -16 + 1?
5
Let j(h) be the second derivative of h**5/10 - h**4/3 + h**3/3 - 2*h**2 - 36*h. Let o be j(3). Let t = o + 11. What is the tens digit of t?
3
Suppose 0 = 134*w - 553122 - 678606. What is the hundreds digit of w?
1
Let t(j) = -j**3 + 24*j**2 - j + 54. Let y be t(24). Suppose -4*g = 2*c + y, 12 = -2*g + c + c. Let i(a) = a + 27. What is the units digit of i(g)?
0
Let a(h) = 21 - 123*h + 6*h + 8*h - 138*h. What is the units digit of a(-3)?
2
Let q = 1871 + -831. Suppose 0*m + q = 5*m. What is the tens digit of m?
0
Let t(n) = 5*n**2 - 2*n - 5. Suppose 3*r - r - 48 = 0. Suppose -w - 3*w = -r. What is the units digit of t(w)?
3
Let z(b) = 21*b - 54. Suppose -8*q - 98 = -15*q. What is the units digit of z(q)?
0
Let y(n) be the third derivative of n**7/2520 - 7*n**5/20 + 6*n**2. Let f(h) be the third derivative of y(h). What is the tens digit of f(7)?
1
Suppose 2*l + 30 = -2*n, -14 = 3*l - 2*n + 6. What is the hundreds digit of 401 - l/(-25)*10?
3
Let p be 15/(-1)*3/(-9). Suppose -60 = -4*o + 3*i, 33*i - 38*i + 16 = 3*o. Suppose -3*x = -2*w + 19, -x + 85 = p*w + o. What is the tens digit of w?
1
Let l be ((-147)/7)/((-3)/(-1863)). What is the tens digit of (l/108)/(6/(-32))?
4
Suppose 769 - 65 = 32*a. Let y(o) = 41*o**2 - o + 4. Let k be y(-3). What is the units digit of k/6*33/a?
4
Let q(k) = k**2 + 13*k - 2. Let s be q(-19). Let b = s - 47. Suppose 3*r + 2*w = 379, 3*r + b = -3*w + 449. What is the units digit of r?
3
Suppose -44*v - 2371 + 146073 = -18*v. What is the hundreds digit of v?
5
Suppose 12*b = 8*b + 64. Let a = b - 22. Let w(r) = -4*r + 3. What is the units digit of w(a)?
7
Suppose -3*h - 115120 = 6*h - 351460. What is the ten thousands digit of h?
2
Suppose -27 = 6*m - 15*m. Suppose 5*p = -m*n + 558, 3*p + 214 = n + 14. What is the units digit of n?
1
Let y = 2724 + -1923. What is the tens digit of (-1068)/y - (0 - 4084/3)?
6
Let a(j) be the third derivative of j**6/20 - j**5/10 + 5*j**4/24 + 5*j**3/3 + 131*j**2. What is the hundreds digit of a(5)?
6
Let s(c) = c**2 + 2*c - 3. Let d be s(5). Let f = 125 - 141. Let l = f + d. What is the units digit of l?
6
Let y be ((-28)/21)/(2/3) - -6. Let q = y + 340. What is the units digit of q?
4
Let h(f) = -46*f**3 - 16*f**2 - 44*f - 271. What is the hundreds digit of h(-6)?
3
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