e 3*h = -2*h + v - 75, 4*v = 2*h + 12. Let b = h + 60. What is the units digit of b?
4
Let l(q) = q + 12. Let o = 24 + -32. Let a be l(o). What is the units digit of 0/(-21) + a*4?
6
Let d = -26 + 40. Let y = d - 14. Suppose y*n = n - 42. What is the tens digit of n?
4
Let i(w) = 39*w**2 - 24*w - 81. What is the hundreds digit of i(-9)?
2
Let a(u) be the second derivative of -u**5/20 - 7*u**4/12 - 4*u**3/3 - 9*u**2/2 + 5*u. Let j be a(-6). Suppose -j*c = 17 - 134. What is the tens digit of c?
3
Let p = -295 - -319. Let m be (-1)/(-2) + (-14)/(-4). Suppose m*k + 0*k - p = 0. What is the units digit of k?
6
Let y(r) be the third derivative of -r**6/120 + 11*r**5/60 + 5*r**4/12 - 2*r**3 - r**2. Let t be y(12). What is the tens digit of (-250)/(-9) - 8/t?
2
Let l(x) = 3*x - 15. Let f(w) = 6*w - 28. Let p be f(7). What is the tens digit of l(p)?
2
Let i(u) = -129*u + 3. Let m be i(-1). Suppose -m = -3*n + 90. What is the tens digit of n?
7
Let l(j) = 3*j - 19. Let s be l(8). Suppose -s = w - 2, -5*a + 391 = 3*w. What is the tens digit of a?
8
Suppose -47*w - 13080 = -55*w. What is the thousands digit of w?
1
Let g = 130 - -12. Let w = -74 + g. What is the tens digit of w?
6
Suppose -2*y = 8, -4*o + 8*o = 2*y + 256. Let z(i) = -5*i**2 - 24*i - 3. Let d be z(-6). Let x = d + o. What is the units digit of x?
3
Let h(m) = 5*m + m**3 + 0*m + 2*m**2 - 5 + 0*m + 3*m. What is the tens digit of h(4)?
2
Suppose -3*j - 6*h + h = 788, j - 2*h = -270. Let q = -134 - j. What is the hundreds digit of q?
1
Suppose -3*f + 4584 = -3*m, -5*f + 4452 = 5*m - 3218. What is the tens digit of f?
3
Let f(v) = v**2 - 12*v - 4. Let s be f(12). Let x be 21/s - 1/(-4). Let d = x - -6. What is the units digit of d?
1
Suppose -4*a - a = -4*t + 1609, 4*t - 1639 = -5*a. What is the tens digit of t?
0
Let m be -3 + 1 - 3/(-9)*-3. What is the hundreds digit of (-3406)/(-22) + (-10)/165*m?
1
Suppose 5*w = -4*h - 284, -3*w - 163 - 53 = 3*h. Let k = h - -145. What is the tens digit of k?
6
Suppose 4*r = -2*k + 368, 59 = k + r - 126. What is the tens digit of k?
8
Suppose -2*q + 224 = 4*j, 2*j - 106 = -3*q + 10. What is the tens digit of j?
5
Let p(n) be the first derivative of -n**3/2 - 4*n**2 + 5*n + 4. Let i(x) be the first derivative of p(x). What is the tens digit of i(-11)?
2
Suppose 3*g = 4*b - 4, -7*g + 3*g = 2*b - 2. Suppose g = -4*x - 1 + 437. What is the tens digit of x?
0
Let f be (-4)/(-6) + (-12)/18. Suppose f*j - 33 = -3*j. Let k = 12 - j. What is the units digit of k?
1
What is the tens digit of -1 + 12/10 - 362152/(-1115)?
2
Suppose 4719 = 4*n - 3*x - 11274, -15975 = -4*n - 3*x. What is the thousands digit of n?
3
Suppose n = -3*t + 353 + 1935, 2273 = 3*t - 2*n. What is the hundreds digit of t?
7
Let r = 162 + -62. Let i = r - -43. What is the units digit of i?
3
Let v = 3 + 5. Let m be ((-41)/4)/((-2)/v). Let n = m - 19. What is the tens digit of n?
2
Let m(s) = -13*s - 1. Let u be m(-4). Let q(w) = 5*w - 10. Let n be q(-4). Let d = u + n. What is the units digit of d?
1
Let a = -45 - -2077. What is the hundreds digit of a?
0
Suppose -4*d + 4 + 4 = 0. Let u(j) = 34*j - 17*j - 16*j + 6*j**2 - j**2. What is the units digit of u(d)?
2
Let y be (136/5)/((-44)/(-110)). Suppose -11*d = -15*d + y. What is the units digit of d?
7
Let w(g) = -200*g + 18. Let a be w(-2). Suppose 2*t - a = 2*j, -2*j = -4*j - 4. What is the units digit of t?
7
Suppose 0*r = 3*r - 6. Let p = 90 + r. What is the units digit of p?
2
Let y = 38 - 29. What is the units digit of 6/y + 132/18?
8
Let q = -40 + 54. What is the units digit of q*((-8)/24 + (-5)/(-6))?
7
Let q(d) = 0*d - 6*d - 9 + 5*d - d**3 + 10*d**2 + 13*d. Let r be 2/4 + (-63)/(-6). What is the units digit of q(r)?
2
Suppose -25*d + 26*d - 212 = 0. Let i = d + -122. What is the units digit of i?
0
Let q(x) = 78*x + 416. What is the thousands digit of q(29)?
2
Let i(o) = o + 22. Let g be i(-20). Suppose 8 = 4*j - k, 0 = 5*j - k + 4 - 14. Suppose m - 4*d - 26 = 0, -3*m + g*d + 36 = -j*m. What is the tens digit of m?
4
Suppose f + 173 = t - 508, -2*t = -3*f - 1364. What is the hundreds digit of t?
6
Let s(w) = -842*w - 94. What is the units digit of s(-6)?
8
Let b(x) = x - 2. Let l be b(1). Let t = -5 - l. Let h(r) = -4*r + 8. What is the units digit of h(t)?
4
Let x be 5/(-6) + (-616)/(-48). Suppose -4*i + 93 = 2*s - 119, s - 94 = 2*i. What is the tens digit of 3*(s/x + -3)?
1
Suppose -280 = 2*j + 44. Let o = j + 93. Let l = -19 - o. What is the units digit of l?
0
Suppose -4*h + 1099 = -1805. What is the tens digit of h/8 - 12/(-48)?
9
Let f = -4 + -1. Let b(x) = -13*x - 4. Let k be b(f). Suppose 22 = -3*i + k. What is the tens digit of i?
1
Suppose -2*q + 3*k - 72 = 0, -5*q + 4*k = k + 171. What is the units digit of q/(4 - 15/3)?
3
Suppose -3*f + 4*g - 73 = 0, 0 = -f - f - g - 45. Let a = f - -58. What is the units digit of a?
5
Let h(a) be the second derivative of 4*a**3/3 + 23*a**2/2 + 33*a. What is the hundreds digit of h(11)?
1
Let z(d) be the third derivative of 0 + 4/3*d**3 - 1/3*d**4 + 0*d + 1/30*d**5 + 5*d**2. What is the units digit of z(8)?
2
Let g(c) = -c + 1. Let k be g(1). Suppose 9 = 4*u + h, u - h + 2*h = k. Suppose -u*p + 42 = 2*m, -2*m + 6*p = p - 42. What is the tens digit of m?
2
Suppose -2628 = -h - 4*v, -5*h + 27*v + 13140 = 29*v. What is the hundreds digit of h?
6
Let s = -912 - -2687. What is the hundreds digit of s?
7
Let a(w) be the third derivative of 0 - 1/120*w**6 - 1/12*w**5 + w**2 + 1/4*w**4 + 7/6*w**3 + 0*w. What is the units digit of a(-6)?
7
Suppose -m + 15 = -2*q + 5*q, 0 = 3*q - 15. Suppose m = -f - 2 + 28. Let y = 46 - f. What is the units digit of y?
0
Let x = -112 - -2225. What is the units digit of x?
3
Let b = 8 + -5. Let d(q) = 4*q - 1 + 0*q + 10 + q**2 + b*q. What is the units digit of d(-7)?
9
Suppose 730 = -i + 6*i. Suppose -83*g + 1750 = -58*g. Suppose 0*j = -2*j + a + g, 4*j - i = 5*a. What is the tens digit of j?
3
Let t(u) = 52*u - 274. What is the hundreds digit of t(16)?
5
Let c = 681 + -140. What is the tens digit of c?
4
Suppose 5*z - 4392 = 4*y, 2*z - 207*y + 208*y - 1762 = 0. What is the hundreds digit of z?
8
Let a(y) = -8*y**3 - 3*y - 3. Suppose 2*q = -3*w + 14, -5*w + 3*q + 59 - 4 = 0. Let u be (0 - w/(-4)) + -4. What is the tens digit of a(u)?
6
Suppose -3*j - 3*m + 21 = 0, 14 = 2*j - 0*m + m. Suppose 64 = j*c - 3*c. Let t = c - 7. What is the units digit of t?
9
Let t = 243 + 490. Suppose 3*o = 3*r + 738, -r + 3*r - t = -3*o. What is the units digit of o?
5
Let x = 659 + -238. What is the tens digit of x?
2
Let v = 4213 + -2496. What is the hundreds digit of v?
7
Let s be (1 - -85)*6/12. Suppose -6*h = -47 - s. What is the tens digit of h?
1
What is the tens digit of (-1)/((-4662)/(-933) - 5)?
1
What is the units digit of 415432/88 + -3 + (-16)/(-88)?
8
Let x be -5*(-4 + (-18)/(-5)). Suppose -2*r = s - 0*s - 39, -x*s = 5*r - 77. What is the units digit of s?
1
Let f(u) = 6*u**2 - 72*u - 20. What is the thousands digit of f(-14)?
2
Let g(i) = 879*i - 7. What is the tens digit of g(1)?
7
Let o(u) = 27*u - 6. Let d(w) = w - 1. Let y(x) = -5*d(x) + o(x). Suppose -t = 2*r, 5*t + 10 = -r + 1. What is the units digit of y(r)?
1
Let m = 17 - 9. Let u be (-9)/2*m/6. Let x = -1 - u. What is the units digit of x?
5
Suppose 0 = 3*l + 2226 - 11715. What is the units digit of l?
3
Let z = -55 + 128. Let l = 106 - z. What is the units digit of l?
3
Let p(a) = 10*a. Let g = 1 + 13. What is the units digit of p(g)?
0
Let c(h) = -47*h - 99. What is the units digit of c(-19)?
4
Let v(j) = -149*j + 3. Let k be v(2). Let n = -156 - k. What is the tens digit of n?
3
Suppose -5*f - 2*c = -12697, 590*f - 594*f + 10153 = -3*c. What is the hundreds digit of f?
5
Suppose 0 = 31*q - 1877 - 56248. What is the hundreds digit of q?
8
Let n(x) = -2*x + 216. What is the hundreds digit of n(41)?
1
Let q(h) = -h**2 + 4*h - 1. Let v be q(3). Suppose -d - 151 = -v*d. What is the units digit of d?
1
Let z(y) = -y**3 - 19*y**2 + 9*y - 20. Let c be z(-19). Let v = -124 - c. What is the tens digit of v?
6
Let p be (-13)/(-3) + (-24)/(-36). Suppose -2*o - p*d = 98, -d = o + d + 47. Let a = -13 - o. What is the units digit of a?
6
What is the hundreds digit of 14140/(-35)*2/(-4)?
2
Suppose -5*p = -7*p + 20. Let f = p 