t x(k) be the first derivative of -4*k**2 - 12*k + 2. What is the units digit of x(-6)?
6
Suppose -69 = -5*k - 24. Let n = 28 - k. What is the units digit of n?
9
Let c(j) = j**2 + 17*j - 6. Let f be c(-14). What is the units digit of 214/8 - f/(-64)?
6
Suppose 778 = 4*y - 434. Let r = -179 + y. What is the units digit of r?
4
Let o be (-5)/(-4) + 2/(-8). Suppose o - 10 = -3*s. Suppose 3*w = s*m + 8*w - 58, 2*m - 44 = 2*w. What is the units digit of m?
1
Let o = -136 + 359. Let g = o + -108. What is the hundreds digit of g?
1
Let n = 45 + -41. Suppose -n*y + 0*y = -132. What is the tens digit of y?
3
What is the thousands digit of (-34838)/(-14) - (-10)/((-210)/9)?
2
Suppose -5*r + 8 = -17. Suppose -5*a + 3*t - 4*t + 1 = 0, r*a + 1 = t. Suppose i = -a*i - 4*s + 45, 0 = i - s - 55. What is the units digit of i?
3
Suppose 5*n - 243 = -4*r, 0 = -2*n - n - 5*r + 138. Suppose -3*u - 48 - n = 0. What is the tens digit of (55/u)/(2/(-48))?
4
Let d be 9/(-45) + 44/(-5). What is the tens digit of (22*3)/(d/(-30))?
2
Let y be (-1)/((-3)/54*-3). Let t be (-2)/(-4) + (-9)/y. What is the units digit of 10 + t - (0 - -2)?
0
Suppose -65037 = -49*v + 19978. What is the hundreds digit of v?
7
Let w = 1 - -9. Suppose -w = 2*y - 0. What is the tens digit of (-12)/(2 + 12/y)?
3
Suppose 0 = -3*m - 2*o + 502, 2*m - o + 106 = 450. Let f = 292 - m. What is the hundreds digit of f?
1
Let n = 126 + -94. What is the tens digit of n?
3
Let c = 2772 - 1151. What is the units digit of c?
1
Let v(r) = -r**3 - 10*r**2 - 7*r + 4. Let k be v(-9). Let f = 1 - k. What is the tens digit of f?
1
Let h = 747 + -445. Suppose 0 = b - y - 75, 4*b - 4*y = -2*y + h. What is the tens digit of b?
7
Let v = 1362 + 3521. What is the hundreds digit of v?
8
Let g = 1 + 2. Suppose g*a - 5*a - 6 = 0. Let w = a - -15. What is the tens digit of w?
1
Suppose 5*q = 57 - 42. What is the hundreds digit of (1 - 572/(-10))/(q/15)?
2
Suppose -7280 = -18*n + 8*n. What is the hundreds digit of n?
7
Suppose 2945 = -0*p + 5*p. Suppose -295 = -v - 3*z, -3*v + 3*z + 236 = -p. What is the units digit of v?
0
Let h(o) be the second derivative of -o**5/60 + o**4/6 - o**3/6 + o. Let j(x) be the second derivative of h(x). What is the units digit of j(-3)?
0
Suppose 38 = 13*q - 15*q. Let p = q - -25. Suppose w = -2*w + p. What is the units digit of w?
2
Suppose -3*p = -4*u + 2*p - 90, -u = 5*p + 35. Let b be 6/(-5) + (-5)/u. Let w(n) = 50*n**2 + n + 2. What is the units digit of w(b)?
1
Let l(q) = 2*q - 1. Let w be l(2). What is the units digit of (w - 0) + -6 + 63?
0
Let f = -7 - -12. Suppose 0 = 4*h - k - 0*k, h - 21 = -f*k. What is the units digit of h + (-12)/9*-15?
1
Suppose t - 59 = 106. Let h = -105 + t. What is the tens digit of h?
6
Suppose 0 = -5*y + 4*r + 35, -25 = r + 4*r. Suppose 0 = -4*d - 3*o + 182, -y*d + 2*d = -o - 49. What is the units digit of d?
7
Suppose 5*s - 4*f - 42 = 0, 4*s = 2*s + f + 18. Suppose 15 = 4*w + 23. Let o = s - w. What is the tens digit of o?
1
Let h(m) = -16*m**2 + 3*m + 1. Let w be h(-4). Let f = w + 392. What is the tens digit of f?
2
Let c be 4/(185/60 - 3). Suppose -8*g + c = -2*g. What is the units digit of g?
8
Let r be (-9)/15 - (-371)/35. What is the units digit of 0 + 1 + (11 - r)?
2
Let c be (2020/(-25))/((-1)/5). Suppose i = 2*i - c. What is the tens digit of (-8)/(-28) - i/(-7)?
5
Let w be -4 + 2 - -1 - -1. Suppose w = -2*j + 24 + 12. What is the tens digit of j?
1
Suppose 11 + 7 = 3*w. Let r = -15 + 18. Suppose -2*y = w, 5*o - r*y = y + 97. What is the tens digit of o?
1
Let r = 343 + 359. What is the tens digit of r?
0
Let j(p) be the third derivative of p**5/60 + p**4/8 + 5*p**3/6 - 4*p**2. Let g = 1 - -4. What is the units digit of j(g)?
5
Let q(k) = k**2 - k. Let d(b) = b**2 + b - 2. Let v be d(0). Let u = 0 - v. What is the units digit of q(u)?
2
Let k(d) = 2*d - 5*d**2 + 1 + d**3 + 17*d**2 - 10*d**2 - 5*d**2. Suppose 3*y + 0 = 9. What is the units digit of k(y)?
7
Suppose -1460 = 495*w - 499*w. What is the units digit of w?
5
Let f be ((-15)/(-6) + (-6 - -3))*-10. What is the units digit of (-33)/(-1) - (f - 4)?
2
Suppose 16*n - 21 = 13*n. Suppose 0*y - n*y + 1778 = 0. What is the hundreds digit of y?
2
Let v = -3020 + 4621. What is the hundreds digit of v?
6
Suppose 4*b + 17 = 5*g, -4*b = 4*g - 22 - 6. Suppose 0 = -d - 2*h + 52, b*h - 3*h = -2*d + 124. What is the units digit of d?
0
Let p(l) = 10*l**2 + 2*l - 2. Let q(t) = 5*t**2 + t - 1. Let v(j) = -2*p(j) + 5*q(j). Let r be v(1). Suppose -h + r = -0*h. What is the units digit of h?
5
Let i be (3 + 1)/2 - -28. Let j = 466 - 406. Let l = j - i. What is the units digit of l?
0
What is the thousands digit of 1809 + 0 + (1 - 0)?
1
Let g = -11 - -3. Let u = -5 - g. Suppose -31 = -u*h + n, n + 24 = 2*h + 2*n. What is the tens digit of h?
1
Let w = -54 - -257. What is the tens digit of w?
0
Let q = -61 + 52. Let j(x) = 3*x**2 - 4*x + 7. What is the units digit of j(q)?
6
Suppose 0 = -2*v + 6*v - 12. Suppose -4 = r, j = v*j + 3*r + 8. Suppose x = 5*h + 44, -h = j*x - 2*h - 43. What is the units digit of x?
9
What is the thousands digit of 1748/114*267/2?
2
Let r be 1 - (-1 + -3 + 3). Suppose -3*z + 90 = 5*q, -3*q = 4*z - r*q - 137. What is the tens digit of z?
3
Suppose 4*f - 10 = 2. Let o be (-14)/f - 1/3. Let n = o - -34. What is the units digit of n?
9
Let b(d) = 6*d**2 + 3*d + 7. Let q be b(-4). Suppose q = -3*z + 235. Let o = z + -21. What is the tens digit of o?
2
Suppose 16*x = 15*x + 283. Let c = -90 + x. What is the hundreds digit of c?
1
Let h(l) = -l**2 + l + 43 - 18 + 16. What is the units digit of h(0)?
1
Suppose 2*u = -2*f + 6874, 5*f = 2*f - 2*u + 10310. What is the thousands digit of f?
3
Suppose -297 = 19*k - 962. What is the tens digit of k?
3
Let r(l) = -l**2 + 7*l + 14. Let k be r(7). Suppose k + 10 = w. Suppose -2*g + w = -g. What is the units digit of g?
4
Let g(h) = -h**2 - h + 4. Let v be g(-2). What is the hundreds digit of -101*3*v/(-6)?
1
Let v(p) = -p**2 + 3*p - 1. Let m(o) = o**2 - 7*o - 5. Let q be m(8). Let s be v(q). What is the tens digit of 3*s/((-3)/16)?
1
Let q be (-5)/((-25)/(-290)) + (0 - 0). Let f = -27 - q. What is the units digit of f?
1
Let r(l) = -2*l**3 - 6*l**2 - 7*l - 7. What is the tens digit of r(-3)?
1
Let w(t) = -t**3 + t**2 - t + 19. Let n be 0*((-20)/6 + 3). What is the units digit of w(n)?
9
Suppose -5 = -3*o - 2*a, 0*a + 5 = 2*o + a. Let g(r) = -o*r + 6*r + 11*r + r**2 + 8. What is the units digit of g(-12)?
8
Let c = -54 + 209. What is the tens digit of c?
5
Let l = -588 + 859. What is the units digit of l?
1
Let v = -19 + 18. What is the units digit of -31*(-4)/8 + v/(-2)?
6
Suppose 4*j = f + 7, 2*f - 2*j + 3*j + 5 = 0. Let u = f - 4. Let r = u + 13. What is the units digit of r?
6
Suppose -9 = n - 4*n, 3*n = g - 2083. What is the thousands digit of g?
2
Let m = 11 - -369. What is the hundreds digit of m?
3
What is the units digit of (-3)/9*-3086*15/10?
3
Let t(x) = 34*x - 1. Let u = 34 - 32. What is the units digit of t(u)?
7
Let k(i) = 3*i - 5 + 2 + 2 - 4 - 13*i**2. Let d be k(7). What is the units digit of d/(-15) - (-3)/5?
2
Suppose -1813 + 616 = 7*v. Let t = 45 - v. What is the hundreds digit of t?
2
Let r be (213/(-9))/((-2)/12). Suppose -5*s + 198 = -4*y, 5*y + 0*y = -4*s + r. What is the units digit of s?
8
Suppose -4 = -4*a - n, 2 = 2*a - 2*n - 10. Suppose 2*k - r = 279, a*k + 3*r = 8*r + 291. What is the tens digit of k?
3
Suppose 3*k = 5*s - 14, 4*k - 5 = s - 1. Suppose -3*p = 3*z - 90, 0 = -5*p + s*p. What is the units digit of z?
0
Suppose -3*j + 0*j + d + 13 = 0, -6 = -2*j + 2*d. Let v be -20*((-2 - -1) + 0). Suppose -j*k + v = 0, -2*k + 6 = y - 5*k. What is the tens digit of y?
1
Let f be 2/5 - (-2)/(-5). Let n(t) = 2*t**2 - 59*t - 27. Let l be n(30). Suppose f = -a + l + 30. What is the tens digit of a?
3
Let o = -10 + 13. Suppose 0*m - 6 = -2*m. Suppose -m*p + 48 = -o*r, -3*r - 33 = -2*p - 2*r. What is the units digit of p?
7
Let j be (3 - -12)*(-2)/(-5). Suppose 51 + 66 = 5*x - 4*c, 119 = 5*x - 3*c. Suppose 2*m = 4*z, m + j*z - x = 3*z. What is the tens digit of m?
1
Let z be (2 - -8) + (1 - -1). Suppose -3*o + 3*x - 24 = 0, -2*x + 24 = -3*o - 7*x. What is the units digit of o*(-2 + 9/z)?
0
Let r(d) = -2*d**3 + 32*d**2 + 9*d - 26. What