d = 13*d - 616. Suppose 0 = -2*f + g*k + 48, -d = -5*f + 2*k + 8. What is the units digit of f?
8
Suppose -1370 = -3*b - t, -2*b + 927 = -t + 17. Suppose -38*s + b = -37*s. What is the hundreds digit of s?
4
Let r(l) = 106*l**3 + 6*l - 6. Let s be r(1). Let p = 547 - s. What is the hundreds digit of p?
4
Suppose 0 = 3*q + k - 197 + 1223, -1026 = 3*q + 2*k. Let a = -190 - q. What is the hundreds digit of a?
1
Let a(l) be the first derivative of -l**3/6 + 23*l**2/2 - 8*l + 14. Let g(m) be the first derivative of a(m). What is the units digit of g(-10)?
3
Suppose -3*a + 2*t + 193 = -2*t, -4*a = -5*t - 256. What is the units digit of a*(-12)/30*-5?
8
Let p = 115 + -112. Suppose -6*g = -g + 3*n + 15, -p*n - 15 = -5*g. Suppose 4*d - d + z - 337 = g, 226 = 2*d + z. What is the hundreds digit of d?
1
Suppose 3*f = -5*d - 0*d + 16897, d + 5635 = f. What is the hundreds digit of f?
6
Suppose 3*q = 5*k - 10, k = -3*k + 5*q + 8. Suppose w = 3*s - 42, -k*s + 21 = -s + 2*w. Suppose -141 - s = -4*l. What is the tens digit of l?
3
Suppose -4*l + 10830 = -2*o, -3*o + 7*o + 8135 = 3*l. Suppose 80 = -3*f + l. What is the units digit of f?
5
Let f be (2 - 2)/(0 - (1 - 2)). Let d be (3 + f + 18)*(-1 - -22). Let i = 644 - d. What is the tens digit of i?
0
Suppose 4*i + 0*i = -o + 1586, -1598 = -o + 2*i. Suppose o - 73 = 13*s. What is the tens digit of s?
1
Suppose 17054 = r + r - 5*x, 34134 = 4*r + 3*x. What is the tens digit of r?
3
Let y(m) be the second derivative of -m**4/12 + 11*m**3/2 - 17*m**2 - 995*m. Let s = 58 + -32. What is the hundreds digit of y(s)?
1
Suppose 2*n + 2 = -10. Let h = 118 - n. Suppose -2*v + 2*m - 28 = -h, -4*v + 2*m + 186 = 0. What is the units digit of v?
5
Let q be (-6)/4*(3200/24 + -8). Let k = -100 - q. What is the tens digit of k?
8
Let m = 8599 - 2029. What is the thousands digit of m?
6
What is the tens digit of ((-20)/(-90))/(1/4527)?
0
What is the thousands digit of 1103 + (5 - 5/(-10)*-4)?
1
Suppose -1 = -2*i - 5*g - 0*g, 0 = -4*i - 4*g + 8. Suppose i*y - 49 + 487 = 0. What is the units digit of (3/(-3))/((-1)/2) - y?
8
Suppose -19*h - 5710 = -25755. Let b = h + -212. What is the hundreds digit of b?
8
Let b = 250 - 168. Let l = b - 81. What is the units digit of 4 + 43 - (l - 2) - -1?
9
Suppose -23*l + 581508 = 117023. What is the hundreds digit of l?
1
Let k(q) = -q**2 - 7*q + 21. Let r be k(-9). Suppose r*p + 5*d + 308 - 1307 = 0, 5*p - 4*d = 1628. Let j = -221 + p. What is the hundreds digit of j?
1
Suppose -87*m + 954239 = -473605. What is the thousands digit of m?
6
Let s be (8 - 4)/(2/16). Let k = 5 - s. What is the tens digit of 1*-12*(-9)/(k/(-48))?
9
Let n = -16072 + 27427. What is the hundreds digit of n?
3
Let j(l) = l**3 - 19*l**2 + 47*l - 23. Let z be j(16). Let r = z - -34. Let b(k) = -2*k**3 - k**2 - 9*k + 6. What is the units digit of b(r)?
6
Suppose -29020 - 41387 - 63825 = -24*g. What is the hundreds digit of g?
5
Let h(g) = 232*g**3 + 4*g**2 - g - 4. Let d be h(2). Suppose -5*s - 431 = -d. What is the units digit of s?
7
Suppose 11*a - 12*a + 327 = 0. Let n = a + -77. What is the tens digit of n?
5
What is the thousands digit of (-3 - 6)/((-3)/2) - (6 + -21097)?
1
What is the thousands digit of 31339 + 1 + (-336 - -320)?
1
Let i = -12724 + 21715. What is the hundreds digit of i?
9
Let p = 3329 + 6461. What is the units digit of p?
0
Let o = 319 + -55. Suppose -14*p - o = -15*p. What is the units digit of p?
4
Suppose -45*o + 6143 = 43358. Let j = o - -1252. What is the units digit of j?
5
What is the thousands digit of ((-906)/12 - 14)*-3*106?
8
Suppose -11767 + 1358715 = 74*k. What is the ten thousands digit of k?
1
Suppose -463*j - 8162 = -467*j - 5*a, -10 = 5*a. What is the hundreds digit of j?
0
Let d = -929 + 1887. Let w = d - 402. What is the hundreds digit of w?
5
Let f = -369 - -381. Suppose 5*l = 20, -p + 2*l + f = -1305. What is the hundreds digit of p?
3
Suppose 393*d = 121*d + 3490032. What is the thousands digit of d?
2
Let f = -17 + 21. Suppose 3*n - f*t - 422 = 0, 5*n = t + 549 + 160. What is the units digit of n?
2
Suppose 3*a = -3*a + 252. Let h = a - 44. What is the units digit of 2 + (-1 - h/2)?
2
Let b(o) be the third derivative of o**5/12 - 5*o**4/24 - o**3/3 + o**2. Suppose 3*f = -8*f - 55. What is the units digit of b(f)?
8
Suppose 190*m + 26 = 192*m. Suppose -913 = m*t - 3552. What is the units digit of t?
3
Suppose 0 = -19*a + 5*a - 90*a + 214344. What is the tens digit of a?
6
Let g = -284 + 278. Let o(k) = -3*k**3 - 10. What is the tens digit of o(g)?
3
Let v be (1 + -4)*((-40)/(-12) - -2). Let t = 47 - v. What is the tens digit of t?
6
Suppose 0 = -3*v + 2*p + 90420, 168518 = 4*v - 3*p + 47960. What is the ten thousands digit of v?
3
Let f = -95581 + 134605. What is the ten thousands digit of f?
3
Let l = -190 - -192. What is the hundreds digit of ((-24)/2)/(l/(-53))?
3
Suppose k + 6*z - 8*z - 733 = 0, -2*z - 2183 = -3*k. What is the units digit of k?
5
Suppose 43*p - 49*p - 336 = 0. What is the hundreds digit of (-18)/(-27) + p/12 - -522?
5
Let c be (2 - 9/2)/(7/(-14)). Suppose 3*k - 4*o + 1499 = 6*k, 0 = -5*o - c. What is the tens digit of k?
0
Suppose -2075815 - 2774403 = -369*g - 169084. What is the units digit of g?
6
Let w(u) = -2*u**3 + 2*u**2 + 9*u + 7. Let n(q) = -q**3 + 10*q + 6. Let o(h) = 6*n(h) - 5*w(h). What is the tens digit of o(6)?
9
Let s = 142 + -140. Let y be 0*((-3)/2 + 2). Suppose 0 = s*i + 5*p - 192, 2*p - 352 = -4*i - y*p. What is the tens digit of i?
8
What is the thousands digit of ((-7669)/2)/(21/(-14) - -1)?
7
Let f(u) = 4*u - 30. Let d be f(7). Let g(k) = 2*k + 3. Let o be g(d). What is the tens digit of 2192/8*((-1)/2 - o)?
3
Let j(x) = -x + 5. Let a be j(-3). Let g(p) = 3*p**2 - 8*p - 1 + 2 - 6. What is the tens digit of g(a)?
2
Let a be (10/(-6))/(1/(-3)). Suppose 4*c - 4 + 7 = 3*p, c - 5*p = -a. What is the units digit of (c + (-5)/10)*-90?
5
Let f(p) = -78*p**2 - 93*p - 407. Let b(m) = -38*m**2 - 46*m - 203. Let l(z) = -9*b(z) + 4*f(z). What is the units digit of l(-6)?
7
Let d(s) = 2*s**2 + 10*s - 62. Let x be d(-11). Suppose p - 6 + 1 = 0. Suppose -p*y + 35 = -x. What is the units digit of y?
1
Let v(r) be the third derivative of -r**6/120 + 7*r**5/30 + r**4/6 + 3*r**3 - r**2. Let h(y) = -165*y + 839. Let p be h(5). What is the tens digit of v(p)?
7
Let c = -89 + 70. What is the hundreds digit of -1 + 3 - 18*c?
3
Let q(f) be the first derivative of 12*f**2 + 13*f - 6. What is the units digit of q(12)?
1
Suppose 20*l + 9*l - 34046 = 0. Suppose -253 = 5*a - 5*q - 1443, 5*a + 3*q - l = 0. What is the tens digit of a?
3
Let z(a) = -a**3 - 20*a**2 - 8*a - 30. Let l = 133 + -153. What is the units digit of z(l)?
0
What is the units digit of ((-17424)/(-14))/(6/(-504)*-9)?
6
What is the hundreds digit of ((-398)/(-796))/(1/52934)?
4
Let a = -28111 + 48644. What is the ten thousands digit of a?
2
Suppose -21*g = -23*g + 1452. Suppose -l = 2*h - g, -l - 151 - 212 = -h. What is the units digit of h?
3
What is the thousands digit of (-2449)/(-496)*-24*542/(-3)?
1
Let r = -24 + 171. Suppose -2*w - 5*b = -r, -w + 5*b + 46 = -5. Suppose w*k = 62*k + 296. What is the units digit of k?
4
Suppose -21*j = -12*j + 11061. Let v = j + 2165. What is the tens digit of v?
3
Let s(q) = q**3 - 2*q**2 + 3*q. Let u(i) = -3*i**2 - 17*i + 9. Let t be u(-6). Suppose -h + 5*a - 17 = 0, -2*h - 2*h = t*a - 24. What is the tens digit of s(h)?
1
Let j(b) = 8*b - 8 - 4*b - b - b. Let o be j(7). Suppose 4*z + 130 = o*z. What is the tens digit of z?
6
Suppose -17*v - 3*n - 20 = -21*v, -3*v = 5*n - 15. Suppose -4*u + 1558 + 1258 = 5*t, -3*t = -v*u + 3483. What is the tens digit of u?
9
Let a = -50 - -81. Suppose 0 = -a*v + 42*v - 2519. What is the units digit of v?
9
Suppose 0 = -200*m + 198*m - 538. What is the units digit of ((-13 - -9) + 3)*m*3?
7
Let a(n) = -369*n**2 - 5*n - 3. Let c(h) = -1106*h**2 - 14*h - 8. Let i(r) = 8*a(r) - 3*c(r). What is the hundreds digit of i(1)?
3
Let n(v) = v**2 - 37*v + 37. Let t be n(27). Let l = 400 + t. What is the units digit of l?
7
Let w = 19275 + -9845. What is the hundreds digit of w?
4
Let n(m) = m**3 + 17*m**2 - 20*m - 36. Let d be n(-18). Suppose 19 = 4*q + 3. Suppose q*j - 3*y + d*y = 80, -12 = -3*y. What is the units digit of j?
3
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