he first derivative of d**3/3 - 4*d**2 - 26*d - 12. What is the units digit of f(x)?
7
Let x(j) = -j**2 + 19*j - 22. Let r be x(17). Let q be ((-6)/(-4))/((-10)/((-2240)/r)). Suppose w = -q + 61. What is the units digit of w?
3
Suppose 4*a = 2*a + 24. Let k(o) = -10*o - a - 1 - 5 + o**2. What is the tens digit of k(16)?
7
Suppose -55*k + 160 = -23*k. Suppose 0 = 3*z - a - 2073, -691 = -z - k*a + 2*a. What is the tens digit of z?
9
Let n be (3/(-6) + 2)/(1/2). Suppose 2*t - n*u = 13, 4*t - 6 + 1 = -u. Suppose -3*i = 0, t*i - 80 = -2*j + 24. What is the units digit of j?
2
Let t be (0 + -1 + -7)/1. Let o(g) = -10*g + 9. What is the units digit of o(t)?
9
Let d(v) = -v**3 - 14*v**2 - 16*v + 16. Let m be d(-12). Let i = -68 - m. What is the hundreds digit of (i/10)/(-3) - 697/(-5)?
1
Let i(r) = r**2 + 11*r + 8. Let y be i(-11). Suppose -3*f + y = -4. What is the units digit of f?
4
Suppose 0 = d - 4*t + 25 + 3, -d + 3*t - 23 = 0. What is the tens digit of (-410)/(-8) + (6/d)/3?
5
Let m(o) = -1. Let u(b) = -13*b - 5. Let k(x) = m(x) - u(x). Let c be k(2). Suppose 20*p - 22*p = -c. What is the tens digit of p?
1
Suppose -4*j + 19958 = -101*l + 98*l, 5*l = 5*j - 24945. What is the units digit of j?
1
What is the hundreds digit of 5389 + -1 + -8 + 8 + -9?
3
Let q be 3 - 8 - -1531 - 0. Let p = 3018 - q. What is the hundreds digit of p?
4
What is the thousands digit of (2 - (-150)/(-18))/(4769/954 - 5)?
6
Let g(h) = -1764*h + 2610. Let y(l) = -61*l + 90. Let a(m) = -5*g(m) + 144*y(m). What is the units digit of a(19)?
4
Suppose 3*d + 4*l = 9*l + 76236, 0 = d - 2*l - 25410. What is the hundreds digit of d?
4
Suppose -147*c = -833828 - 1100986. What is the ten thousands digit of c?
1
Let v = 407 - 407. What is the units digit of 100/(-40)*(v - 496/20)?
2
Suppose -2*f + 18 = 4*j, 5*f = 2*j - 2 - 1. Suppose u + d = j*u + 224, -u - d = 76. Let c = u - -139. What is the tens digit of c?
6
Suppose -294*w = -291*w. Suppose -k = 3*m - 353, 5*k + 2*m - 1765 = -w*k. What is the tens digit of k?
5
What is the hundreds digit of 3*(-33358)/(-273)*56?
5
Suppose 37*o = 53*o - 48. Suppose -3 = -o*n, 2*r = 10*n - 5*n + 1117. What is the hundreds digit of r?
5
Suppose 19*a - 137220 = -a. What is the hundreds digit of a?
8
Let r = -35 + 70. Let i = r - 76. Let o = -26 - i. What is the units digit of o?
5
Let n = 121 + -118. Suppose 5*s + 1 = z - 26, n*s + 13 = -z. Suppose 2*r = -4*d + 432, 3*d + z*r = 3*r + 329. What is the hundreds digit of d?
1
Suppose -2*t + 7 = 4*x - 29, 2*t = 5*x. Let b(k) = 1 - 8 - 5 + 1 - 6*k - 2*k**2 + 3*k**2. What is the units digit of b(t)?
9
Suppose -212 = -3*s + 646. Let q = s - 110. What is the tens digit of q?
7
Let x = 32 + -40. Let q(v) = -v**2 - 26*v - 16. What is the hundreds digit of q(x)?
1
Suppose -3*y + 5*j + 4916 = 0, 4*y + 0*j - 3*j = 6573. Suppose -z + 330 = -x + 7, 5*x + 3*z = -y. Let c = -200 - x. What is the hundreds digit of c?
1
Let y(z) = -3*z + 10*z - 11*z - 27. Let v be y(0). Let j = 35 + v. What is the units digit of j?
8
Let t be ((-7)/((-105)/(-50)))/(1/(-165)). Let n = 553 - t. What is the units digit of n?
3
Suppose r + 1348 = -1659. Let x = r + 4435. What is the hundreds digit of x?
4
Let z = 16007 - -4972. What is the hundreds digit of z?
9
Let w be -1*8/4 - 3. Let p be w + 5 - -3*1. Suppose -g = -2*l + 4*l - 10, -g - 25 = -p*l. What is the units digit of l?
7
Let k(i) = 4*i - 4. Let o be k(2). Suppose -o*y = -11*y + 28. What is the tens digit of 64 + -5 + y + 4?
6
Let x be 29687/63 + (-4)/18. Let w = x - 184. What is the tens digit of w?
8
What is the ten thousands digit of (6 + 16281/9)*54/60*12?
1
Suppose 4*b = 3*k - 1, -2*b - 3 = -3*k + b. What is the hundreds digit of 1274/k - 6/(-18)?
4
Let t(k) = -12*k**2 - 360*k + 70. What is the tens digit of t(-16)?
5
Let i be (-29020)/30 - (-20)/15. Let y = i - -1655. What is the tens digit of y?
8
Let q(i) = -i**3 - 2*i**2 + 5*i - 2. Let n be q(-4). Let o be (n/50)/(1/10). Suppose o*m = 15*m - 1417. What is the hundreds digit of m?
1
Let i(j) = 8012*j**2 - 13*j + 15. What is the ten thousands digit of i(2)?
3
Suppose 0 = 2*v + 1 + 41. Let k = v + 21. Let i(o) = -3*o + 74. What is the tens digit of i(k)?
7
Let f(l) = 4*l**2 - 2*l + 289. Let p be f(0). Let a = p - 133. What is the tens digit of a?
5
Suppose 2*d + 2997 = -5*q - 5903, -5326 = 3*q + 4*d. Let c = 2657 + q. What is the hundreds digit of c?
8
What is the thousands digit of 2*-2 - (-4808 - (1 + -12 - -5))?
4
What is the thousands digit of 11*(8 + -28)*(-23 + -1)?
5
What is the thousands digit of (-656)/3*43365/(-236)?
0
Suppose -5*s - t - 8 = -6*s, -2*t - 6 = 0. Let g be 76/6*3/(-2). Let q = s - g. What is the units digit of q?
4
Suppose 4*a - 6*h = -2*h + 8, 7 = a + 4*h. Let d(i) = 77*i + 1. What is the hundreds digit of d(a)?
2
Suppose -2*k + 1 = -2*w - 1, 0 = -5*w + 2*k + 4. Let c = -1741 + 765. What is the tens digit of c/(-16) - (w - 1)?
6
Let s be 2/8 + (-54)/24 + 77. Suppose 0 = -4*o + s + 209. Let n = o + -8. What is the units digit of n?
3
Let z = -179 - -187. Suppose -5*g + 100 = -g. Suppose -g - 543 = -z*v. What is the units digit of v?
1
Let k(b) = 15*b**2 + 5*b - 9. Let y(h) = 8*h**2 + 2*h - 5. Let o(g) = 3*k(g) - 5*y(g). What is the units digit of o(-5)?
8
Suppose 0 = -5*u + 5*z - 8 + 23, -10 = -4*u + 2*z. Suppose 0 = 2*t + j + u*j - 2752, -6*t + 5*j + 8256 = 0. What is the thousands digit of t?
1
Let b(d) = 2 + d**2 + 2*d - 4 + 709*d**3 - 424*d**3. What is the hundreds digit of b(1)?
2
Let u(y) = -16*y**2 - 21*y - 2. Let x(v) = 17*v**2 + 21*v + 2. Let j(d) = 4*u(d) + 5*x(d). What is the units digit of j(6)?
4
Let h(v) = 3*v**3 + 15*v**2 - 21*v + 77. What is the thousands digit of h(10)?
4
What is the tens digit of -9*(-19505)/15 - (-20)/5?
0
Suppose -4*u = -9*u + 1185. Let t = -178 + u. What is the units digit of t?
9
Let f(h) = 3*h**2 - 77*h - 2179. What is the tens digit of f(138)?
2
Suppose n - 5*n + 64 = 0. Suppose -n = t - 23. What is the units digit of (-194)/(-2) - (-4 + t)?
4
Let z = -29 - -88. Let w = -37 + z. What is the units digit of (-10*w)/(-5) - 2?
2
Let g(s) be the first derivative of -24*s + 5/2*s**2 + 1. What is the units digit of g(21)?
1
Let m(g) be the third derivative of 11*g**5/3 - 7*g**4/12 + g**3/2 + 50*g**2. What is the tens digit of m(2)?
5
Suppose 0 = -66*o + 128728 + 703466. What is the thousands digit of o?
2
Let h = 3768 + 244. What is the hundreds digit of h?
0
Suppose 4 = -3*c + 5*r - 16, -3*r + 12 = 3*c. Let g = -431 - -494. Suppose z - 4*v - 25 = c, -3*z - v - 1 = -g. What is the units digit of z?
1
Suppose -6*c + 15978 = -0*c. What is the thousands digit of c?
2
Let n(i) = -i**3 + 15*i**2 - 6. Let d be n(15). Let x(q) = -13*q + 16. Let w(z) = -13*z + 16. Let k(f) = -5*w(f) + 6*x(f). What is the tens digit of k(d)?
9
Suppose -u = u + i - 7931, -i = 5*u - 19820. Suppose 0 = 7*p - u + 92. What is the units digit of p?
3
Let q(p) = -p**3 - 12*p**2 - 5*p + 1. Let d(g) = -g**2 + 43 - 32 + 22*g - 23. Let n be d(22). What is the units digit of q(n)?
1
Let z = 24619 + -8037. What is the tens digit of z?
8
Suppose 2*c - 15676 = 25427 + 311. What is the thousands digit of c?
0
Suppose -2*f + 22240 = -3*p, 51*p - 11123 = -f + 52*p. What is the ten thousands digit of f?
1
Let l(d) = -22*d - 3. Let h be l(4). Let f be (-40365)/h + (-6)/(-14). Suppose -4*o + 4*q + f = -120, 0 = 5*o + q - 675. What is the tens digit of o?
3
Let q(d) = -d**3 - 7*d**2 + d + 5. Let o = -35 - -28. Let p be q(o). What is the tens digit of ((2 - 3) + 3)*(-45)/p?
4
Suppose -3*d + 1353 = -3*v - 10800, 0 = -2*v - 2*d - 8098. What is the hundreds digit of (5/15)/((-10)/v)?
1
Let f be -4*((-104)/16 - (3 - 1)). Suppose f*s - 15108 + 4806 = 0. What is the tens digit of s?
0
Let y = 26 + -32. What is the units digit of 13817/123 - ((-4)/y)/2?
2
Let t be (2*2 - 0)*45477/(-279). Let x = t + 929. What is the tens digit of x?
7
Let d(t) = 1546*t**2 - 7*t + 9. Let u(g) = 2*g**2. Let b(a) = d(a) + 5*u(a). What is the units digit of b(1)?
8
Let h = -419 - -424. Suppose -4*v = 3*n - 94 - 65, h*n = 5*v + 300. What is the units digit of n?
7
Let j(x) = -x**3 + 6*x**2 - 3*x - 5. Let o be j(5). Suppose 0*s - 4*g = 5*s - 251, -247 = -o*s - 3*g. Suppose -171 = -50*t + s*t. What is the tens digit of t?
5
Let n be 8 + -3