r = v. What is the units digit of r?
2
Let g(x) be the first derivative of -2*x**4/3 - 41*x**3/6 - 18*x**2 + 50. Let y(u) be the second derivative of g(u). What is the units digit of y(-8)?
7
Let s(y) = 176*y**2 + 6*y + 2. Let q be s(2). Suppose 104 + q = 3*i. What is the units digit of (i - 17)*(0 + 1)?
7
Suppose 7*n - 1386 = -7*n. Suppose -n = -7*o + 97. What is the tens digit of o?
2
Let i be (-18)/(-4) + (-2)/(-4). Suppose 5*p - 1033 = -c - 209, -4*c = -4*p + 664. Suppose 155 + p = i*h. What is the tens digit of h?
6
Let q(u) = 6*u**2 - 45*u + 18*u + 17*u + 30 + 18*u. What is the tens digit of q(-7)?
6
Let v = 243 - 151. Suppose -5*c = -t + 73 + v, 0 = 3*t - 15. Let r = c - -37. What is the units digit of r?
5
Let h(l) = -6*l**3 - 7*l**2 - 24*l + 12. Let o(w) = 3*w**3 + 4*w**2 + 13*w - 6. Let z(r) = -6*h(r) - 13*o(r). What is the tens digit of z(-6)?
4
Let c(t) = -20*t**3 - 2*t**2 + 5*t + 6. Let x be c(-6). Suppose 8*m = 20*m - x. What is the hundreds digit of m?
3
Suppose -4*b + 15 = -5*r + b, 0 = 2*b - 10. Let t be 263/3 + 1/3. Suppose 0 = r*v - 10 - t. What is the units digit of v?
9
Let g = -247 - -222. What is the units digit of (-6)/10 + (-840)/g?
3
Let d be 0 + (-1 - (0 + -3)). Let r(g) = -4*g**2 + 0*g**2 + 11*g + 4*g**d + 9*g**2 + 9. What is the tens digit of r(-4)?
0
Let u = 100601 - 48866. What is the tens digit of u?
3
Let f(b) = 3*b**3 - b**2 + 4*b + 719. Let l(k) = -5*k**3 + 2*k**2 - 8*k - 1435. Let x(y) = -7*f(y) - 4*l(y). What is the hundreds digit of x(0)?
7
Let h(j) = -j**2 - 3*j + 12. Let z be h(-5). Suppose -6*r + z*r = u - 408, -2*r - 1614 = -4*u. What is the units digit of u?
4
Let m = -2 - 31. Let g = m - -45. Suppose -178 = g*f - 1150. What is the tens digit of f?
8
Let g be 2214/5 + (-44)/55. Let n = g + 0. Suppose -2*k = -4*m + 3*k + n, 224 = 2*m - k. What is the tens digit of m?
1
Suppose -10 = -3*p + 8. Let c be p + (-5 - (-5 - -3)). Suppose 91 = c*b - 32. What is the tens digit of b?
4
What is the tens digit of 3 + (-10)/(40/(-18148))?
4
Suppose 4327 + 20384 = 3*m - 2235. What is the units digit of m?
2
Let f(x) = -4*x**3 + 6*x - 4. Let v(r) = 3*r**3 - 5*r + 3. Let c(y) = 4*f(y) + 6*v(y). Let u be c(-4). Let w = u + 175. What is the units digit of w?
3
Let p(f) = f**2 - 7*f - 4. Let n be p(11). Suppose 0 = -14*d + 10*d + n. Let v = 58 + d. What is the units digit of v?
8
Let w be -1*(5 - -153) - 5. Let k = 366 - w. What is the hundreds digit of k?
5
Let h = 97585 - 66774. What is the units digit of h?
1
Let f = 107 + -104. Suppose m - 2*t - 23 = 0, m - f*m = 4*t - 86. What is the tens digit of m?
3
What is the tens digit of (-59129)/(-77) - (-24)/22?
6
What is the hundreds digit of 5/(10/(-12))*36358/(-1029)?
2
Suppose 3*a + 2*z - 18327 = 120825, 5*a + 5*z = 231920. What is the ten thousands digit of a?
4
Suppose -31021 = -13*n + 11*n + 5*g, -77640 = -5*n - 5*g. What is the thousands digit of n?
5
Let k(q) = q + 37. Let x be k(-7). Suppose c - 295 - x = 0. Suppose -i + 2*v + 65 = 0, 0 = -0*i - 5*i + 2*v + c. What is the tens digit of i?
6
Suppose 0 = -3*y + 2*u + 41087, -98*y = -95*y + 2*u - 41059. What is the tens digit of y?
9
Let w = -11 - -37. Suppose 9*z + w = 71. Let n(l) = 8*l**2 - 9*l - 8. What is the tens digit of n(z)?
4
Suppose -57*o - 4*z = -56*o + 26, o + 20 = -2*z. Let c = -1 + -1. What is the units digit of c/o - (-1)/((-28)/(-1228))?
4
Suppose 0 = -4*t - 50*t + 729897 - 114837. What is the hundreds digit of t?
3
Suppose 0 = 9*i - 4*h - 371027, 10*h = 2*i + 6*h - 82466. What is the hundreds digit of i?
2
Let f(r) = 2*r**2 + 30*r + 3. Let j be f(7). Suppose 5*a - 5*q = 1000, 3*q = -2*a + j + 89. What is the hundreds digit of a?
2
Suppose -56*o = -75*o - 19. What is the tens digit of 556 - o - (-27 + 31)?
5
Let c be ((-135)/4)/((-6)/40). Let v(d) = -d**2 - 5*d + 4. Let x be v(-5). Suppose -m + c = x*m. What is the tens digit of m?
4
Let k(i) be the first derivative of -27*i**2/2 + 32*i + 26. Let b be k(-9). Suppose 5*l + 165 = o, 0 = 3*o - o + l - b. What is the hundreds digit of o?
1
Let x(l) = 8*l**2 - 6*l + 41. Let b be x(-8). Let t = b + 520. What is the hundreds digit of t?
1
Let x(j) = 21*j - 67. Let p be 6/(-8) + (3 - 536/(-32)). What is the hundreds digit of x(p)?
3
Let o be 28332/22 - (10/(-11))/5. Let j = -69 + o. What is the hundreds digit of j?
2
Let r be ((-8)/(-10))/(14/35). Let f be (-187)/(-1) + -7 + 4. Suppose 0 = r*c - f - 28. What is the tens digit of c?
0
Let u(t) = 180*t**3 - 21*t + 30. What is the hundreds digit of u(2)?
4
Let k = 16079 - 6239. What is the tens digit of k?
4
Suppose 6*a + 4*k - 808 = 2*a, -406 = -2*a - 3*k. Let m = a - 115. Let u = -79 + m. What is the units digit of u?
6
Let k = 77 + -73. Suppose -5*u + 210 = -3*j, 0 = -k*j - 7 - 13. Let m = 52 - u. What is the tens digit of m?
1
Suppose 6*p - 4*u - 2332 = 2*p, 2*u = -3*p + 1734. Suppose -p = -5*i - 0*i. What is the tens digit of i?
1
Suppose 1153 + 240607 = 53*l - 154362. What is the thousands digit of l?
7
Suppose -6*g = 4 - 40. Suppose 0*z + 2*x = 3*z - 1014, 0 = 2*x + g. What is the tens digit of z?
3
What is the tens digit of ((-2440750)/(-585))/((-3)/(-27))?
5
Let x = -53 + 43. Let g be 2*((-775)/x)/5. Suppose -2*o - 3*q - g = -105, -4*o + 116 = -2*q. What is the units digit of o?
1
Suppose 3*i = 3*h - 14930 - 313, 0 = 4*h + i - 20309. Suppose 7*o - h = 4407. What is the thousands digit of o?
1
Suppose 5*t - 226825 = -3*z, 0 = 27*t - 28*t - 3*z + 45365. What is the thousands digit of t?
5
Let b(v) = -v - 25. Let o be b(-25). Suppose 4*z - 28 = -m - o*z, 5*m + 5*z - 65 = 0. What is the hundreds digit of 338/(5*m/20)?
1
Let t(c) = 2*c**2 + 10*c - 11. Let u = 46 + -59. Let n = 19 + u. What is the units digit of t(n)?
1
Let u(l) = -33*l**3 + 6*l**2 - 3*l - 13. Let k be u(-6). Suppose 0 = -25*p + 4301 + k. What is the tens digit of p?
6
Suppose -4*z = 0, -f - 3*f = -2*z - 16. Suppose -f*u + 1585 = 4*y - 643, 3*u - 2*y - 1691 = 0. What is the units digit of u?
1
Let y be 10/(77244/(-11034) - -7). What is the units digit of ((y/9)/(-10))/((-3)/(-9))?
3
Let x(a) = -27*a + 4199. What is the hundreds digit of x(28)?
4
Suppose 34 = -6*h + 4*h. Let w(v) be the third derivative of -5*v**4/24 + 3*v**3 - 5*v**2 - 10. What is the tens digit of w(h)?
0
Let r = -296 + 303. What is the hundreds digit of 5 - (r - 0 - 208)?
2
Suppose 6*i = -3*j + i + 621, -5*i = 0. Suppose n - 213 = 4*o - 0*n, 3*n - j = 4*o. Let a = 83 + o. What is the tens digit of a?
2
Suppose 242*a - 256*a = -4046. What is the units digit of a?
9
Let g = -15524 + 19692. What is the tens digit of g?
6
Suppose -5*k + 490 = -5*a, 3*a + 3*k - 5*k = -295. Let r = -95 - a. Suppose 0 = r*f - 448. What is the tens digit of f?
1
Suppose -39*m = 14*m - 43513. Suppose 8872 = -m*r + 829*r. What is the tens digit of r?
0
Let t = -65 - -94. Let l(k) = 4*k**2 + 5*k - t*k**3 + 2 + 46*k**3 - 33*k**3. What is the hundreds digit of l(-2)?
1
Suppose 40*i - 41*i = -4146 - 8834. What is the hundreds digit of i?
9
Suppose -31 = 4*i + 53. What is the tens digit of (2 - 6792/i) + (-68)/(-119)?
2
Let i be (3*16/(-72))/((-4)/(-6)). Let t(b) = -222*b**3 + 2*b**2 + b + 1. What is the tens digit of t(i)?
2
Suppose 0 = 35*q - 6811 - 224. Suppose 2*h - 545 = 7*h. Let b = q + h. What is the tens digit of b?
9
Suppose 20099 = 17*t - 173616. What is the hundreds digit of t?
3
Suppose -21*g + 23*g - 642 = 0. What is the tens digit of 4/8 + g*(-1)/(-6)?
5
Suppose 3*b - 7*b - 10*b + 66682 = 0. What is the thousands digit of b?
4
What is the units digit of 24513 - 2*70/(-20)?
0
Suppose 3*i + 32 = 41. Suppose -21 = -5*v - 2*j, -2*v + i*j = -5*v + 18. Suppose v*l - 2*n = -4*n + 650, 420 = 2*l + 4*n. What is the units digit of l?
0
Suppose 5*c = -2*c + 2044. Suppose 2*x = 16 + c. Suppose -l + x = -5*p, 0*l + 3*p - 269 = -2*l. What is the hundreds digit of l?
1
Suppose 18*m = 14*m + 4516. Let l = m + -553. Suppose 4*n + 2*g - 5*g = l, 5*g = -2*n + 262. What is the hundreds digit of n?
1
Let u(t) = -20 + 8*t + 8 + 11 + 7 + 3*t**2. What is the hundreds digit of u(17)?
0
Suppose 10*u - 4*c = 7*u + 22828, -u = -5*c - 7624. What is the hundreds digit of u?
6
Suppose 155293 = -61*r + 940424. What is the hundreds digit of r?
8
Let h = -3633 - -24721. What is the units digit of h?
8
Let c(a) = a - 5.