?
8
What is the thousands digit of (11 + 26739)/10 - 5*1?
2
Let k(y) = -y**3 + 5*y**2 + 21*y + 27. Let x be k(8). Let j(b) = -5*b - 5*b**2 - 2 + 5*b + 4*b**3 + 5*b. What is the tens digit of j(x)?
7
Let s(n) = n - 1. Let z(i) = 24*i**3 + 6*i - 2. Let g(y) = 4*s(y) - z(y). What is the tens digit of g(-1)?
2
Let a(c) = -292*c - 414. What is the tens digit of a(-18)?
4
Let r(z) = z**2 - z + 1. Let d be r(2). Suppose -2*p - 4*s + 39 = 5, -p - d*s + 22 = 0. Let f(o) = -o**3 + 6*o**2 + 7*o + 2. What is the units digit of f(p)?
2
Let y(v) be the first derivative of -v**4/4 - 13*v**3/3 + 4*v**2 - 5*v + 2. What is the tens digit of y(-14)?
7
Let l = 379 - -75. What is the units digit of l?
4
Suppose s = -2*h + 5 - 4, -2 = 2*h - 2*s. Suppose h = q - 16 - 96. Suppose -m - u = 4*m - 122, q = 5*m - 4*u. What is the units digit of m?
4
Let q(a) = -a**3 - a**2 + 2*a - 4. Let g be q(-3). Suppose 0 = 5*y + g - 83. Let w(r) = -r**2 + 14*r + 17. What is the units digit of w(y)?
2
Let v be 17/34 + 6/4. Suppose -90 = -2*r - v*k, 7*r + k - 237 = 2*r. Let z = r + -17. What is the units digit of z?
1
Let p(b) = 2*b**2 - 3*b + 99. What is the units digit of p(25)?
4
Suppose 27*s = 29*s - 4*u - 824, -u = -3*s + 1216. What is the hundreds digit of s?
4
Suppose 5*w - 5*y = 3*w + 95, w = -y + 51. Let s = 38 + w. What is the units digit of s?
8
Let d be ((-295)/20)/(1/28). Let w = 627 + d. What is the tens digit of w?
1
Suppose 0*z = z - 3. Suppose 0 = -k + 3*v + 221, -14 = -z*k + 4*v + 629. What is the hundreds digit of k?
2
Let t = 48 - -69. Suppose -2*a = h - 2*h + t, -5*a = -h + 132. What is the hundreds digit of h?
1
Let c = 7595 - 5370. What is the tens digit of c?
2
Let w(v) = 60*v - 20. Let y(r) = r - 1. Let a(j) = -w(j) + 4*y(j). What is the tens digit of a(-3)?
8
Let j = 26 + -5. Let i = j - 19. Suppose -i*g - 3*z = -69, 5*g - z - 200 = -3*z. What is the units digit of g?
2
Let r = 144 + -141. Suppose r*s + 4*t = 203, -8*t + 5*t = -15. What is the units digit of s?
1
Let v(t) = -126*t + 437. What is the tens digit of v(-7)?
1
Let r(k) = 212*k**3 - 2*k**2 + k + 2. Let b(g) = g + 1. Let m be b(0). What is the units digit of r(m)?
3
Let s = -7 - -12. Suppose 0 = -5*x - s*t + 10, 4*t + 0*t - 10 = -5*x. Suppose 26 = k + x. What is the tens digit of k?
2
Suppose 0 = -v - 68 - 61. Let c = 9 - v. What is the hundreds digit of c?
1
Let v(g) = -146*g**2 + 9*g - 1. Let p(d) = -146*d**2 + 8*d - 1. Let i(q) = -7*p(q) + 6*v(q). What is the tens digit of i(1)?
4
Let k(t) = 6*t**2 - 22*t - 3. What is the hundreds digit of k(-5)?
2
Suppose -5*r - 357 = -72. Let h = r + 126. What is the units digit of h?
9
Suppose 819*f = 827*f - 3248. What is the units digit of f?
6
Let a(k) = 2*k**2 + k - 33. Let s(g) = -6*g**2 - 3*g + 99. Let m(z) = -8*a(z) - 3*s(z). What is the units digit of m(10)?
7
Let j be (-5)/(10/(-3))*-42. Let o be 56/(-2)*18/j. Suppose -2*w + 22 = -o. What is the units digit of w?
5
Let o = -29 - -43. Let f(k) = 10*k - o*k - 3*k + 2. What is the units digit of f(-3)?
3
Suppose -55*s - 3668 = -62*s. What is the tens digit of s?
2
Let u be ((-16)/(-12))/((-1)/(-3)). Suppose -u*r = -3 - 13. Let v(b) = b + 5. What is the units digit of v(r)?
9
What is the units digit of (268/5)/(7/(3150/20))?
6
Let n = -6 + 17. Suppose 15*p - 48 = n*p. Suppose p*b = 7*b + 355. What is the units digit of b?
1
Suppose -4*y - 36 = -0. Let v be (y/(-5))/(2/10). Suppose v + 3 = n. What is the units digit of n?
2
Let i(f) = -5*f + 703. What is the hundreds digit of i(37)?
5
Let x be 184/30 + 4/(-30). Let f(p) = -5*p**2 + 7*p + 13. Let s(u) = 6*u**2 - 6*u - 12. Let r(j) = x*s(j) + 7*f(j). What is the units digit of r(-14)?
3
Let d = -321 - -1169. What is the units digit of d?
8
What is the tens digit of 33*(-895)/(-30)*2 - 5?
6
Suppose 10 + 2 = 4*i. Suppose i*c = -16 + 4. What is the units digit of 0*c/(-16) + 48?
8
Suppose 5*s - 5*w + 105 = 0, -2*s = -6*s - 4*w - 60. Let c be (6/18)/((-2)/s). Suppose 6*n = c*n + 27. What is the units digit of n?
9
Suppose 3*k - 3*m - 30 = 0, -22 = -4*k + k - m. What is the units digit of 116*(1 - 4/k)?
8
Let d(m) = -m**3 + 6*m**2 + 2. Let b be d(6). Let p(r) be the third derivative of 11*r**4/24 + 2*r**3/3 - 10*r**2. What is the tens digit of p(b)?
2
Let l = 5893 - 2855. What is the thousands digit of l?
3
Suppose 5*s = -3*z + 473, -5*z = -0*s + 5*s - 795. Let i = z + -93. What is the units digit of i?
8
Suppose h - 3*h = 0, -5*m - 4*h = -45. Suppose -6*t = -m*t + 483. What is the hundreds digit of t?
1
Let r = 1994 + 1000. What is the thousands digit of r?
2
Let q be 5*(-2 - 8/(-5)). Let f be -3 + 5 + q - -3. What is the units digit of (-26)/f*(-4 + 1)?
6
Suppose 0 = 6*q + 3*q. Suppose -9*z = -q*z - 18. What is the units digit of z?
2
Let c(l) = l**2 + 3*l - 3. Let s be c(-11). Let a = s + -32. What is the tens digit of a?
5
Let q be (-3)/(-4)*16/(-4). Let n = q - -10. Suppose n*t - 132 - 134 = 0. What is the tens digit of t?
3
Let q(k) = -k**2 + 8*k - 7. Let j be q(6). Suppose j*d - 16 = -1. Suppose -2*z - 6 = -2*f, 5*z + 0 - d = -f. What is the units digit of f?
3
Suppose -47*w + 63*w - 16 = 0. What is the units digit of w?
1
Let d(p) = 156*p**2 + 16*p - 24. What is the hundreds digit of d(2)?
6
Suppose 120*o = 122*o - 2252. What is the tens digit of o?
2
Suppose 11*d + 251 = 4574. What is the tens digit of d?
9
Let k(y) = -25*y**3 + 10*y**2 + 4*y + 10. What is the units digit of k(-4)?
4
Let y(k) = 64*k + 16. Let v be y(12). What is the tens digit of v/(-70)*(-5 - 0 - 0)?
5
Suppose -4*n + 400 = 352. What is the tens digit of 9/n + (-3435)/(-12)?
8
What is the thousands digit of (-20)/110 - 103998/(-22)?
4
Let v(r) = r**3 + 13*r**2 - 14*r - 1. Let t be v(-14). Let f(i) = 111*i**2 - 1. What is the hundreds digit of f(t)?
1
Let z be (4/(3 - 7))/(-1). Let b be (-4 + -2)*(z - -1). Let t = 49 + b. What is the units digit of t?
7
Suppose 0 = -10*u + 6*u + 48. Suppose 4*w = 7*w - u. Suppose -3*m + 4*f = 3, 6 + 6 = w*f. What is the units digit of m?
3
Let j(y) = 11*y + 1. What is the tens digit of j(6)?
6
Let u(q) = q**3 - 47*q**2 + 104*q + 18. What is the hundreds digit of u(45)?
6
Let m(v) be the second derivative of -v**5/20 - 3*v**4/4 - v**3 + 9*v**2/2 + 3*v. What is the units digit of m(-9)?
3
Let j(w) = w + 524. What is the units digit of j(56)?
0
Suppose -2*p - l + 0*l = -51, -3*p + 84 = 4*l. Suppose p = 2*x - 4*m, 3*x = -m + 4*m + 21. What is the units digit of x?
2
What is the thousands digit of 397188/77 + 24/(-84)?
5
Suppose -9031 = 25*a - 44981. What is the units digit of a?
8
Suppose 380 = 2*u + 32. Suppose -4*t + 508 = 4*y, 79 = 2*t + 3*y - u. Suppose -3*q + 3*x = -4*q + 30, t = 5*q + 4*x. What is the tens digit of q?
2
Let t(k) = k**3 + 9. Suppose -a + 4*h - 25 + 9 = 0, 2*h - 8 = -2*a. Let m be t(a). Let c = 7 + m. What is the tens digit of c?
1
Let s be -3 + 6 + (-5 - 0) - 0. What is the units digit of s/((0 - 142/(-144)) + -1)?
4
Let z = -640 + 1838. What is the units digit of z?
8
Let u = 72 + -68. Suppose -2*p - 4*w + 215 = -355, 8 = -u*w. What is the units digit of p?
9
Let m(z) = 3*z**2 + 6*z - 6. Let x be m(-4). What is the units digit of 62 + (-4 - x/(-2))?
7
Suppose 0*j + 2*j + 4 = 0. Let o be 1 + 23 - j/1. Let w = o + -10. What is the tens digit of w?
1
Suppose -45 + 905 = 4*k + 4*a, k = 5*a + 221. What is the tens digit of k?
1
Let q(f) be the third derivative of -7*f**4/24 - f**3/6 - 2*f**2. Let d be q(-1). Suppose -3*z - 132 = -d*z. What is the tens digit of z?
4
Let t(h) be the second derivative of -1/2*h**3 + 1/12*h**4 + 0 + 9/2*h**2 - h. What is the units digit of t(6)?
7
Let q(s) = -7*s - 5. Let j be q(19). Let b = 238 + j. What is the units digit of b?
0
Suppose -4*k - 2 + 22 = 0. Suppose -k*z + 127 = -2*p + 494, 397 = 2*p + 5*z. What is the units digit of p?
1
What is the tens digit of (-18)/(-6) + (-1)/(3/(-1872))?
2
Let a(c) = -6*c**3 + 6*c**2 - c - 21. Let m(t) = -5*t**3 + 5*t**2 - t - 20. Let x(i) = 6*a(i) - 7*m(i). What is the units digit of x(0)?
4
Suppose 5*z - 10 = 2*a, 2*a + 25 = -3*a + 4*z. Let c(u) = -24*u + 4. Let i be c(a). Let v = -89 + i. What is the tens digit of v?
3
Let p(k) = -41*k - 72. What is the hundreds digit of p(-12)?
4
Let n = 5 + -5. Suppose 10*f - 25 - 215 = n. What is the units digit of f?
4
Suppose