*2
Let x(v) be the first derivative of -v**3/3 + v**2 + 3*v - 9. Let c be x(2). Let -9*a + c*a**4 + 0*a + 9*a**2 - 12 - 3*a + 0*a + 12*a**3 = 0. What is a?
-2, -1, 1
Let i(b) be the third derivative of -b**5/15 + 3*b**4/2 - 16*b**3/3 - 2*b**2 + 2*b - 121. Suppose i(s) = 0. What is s?
1, 8
Let k(y) = y**3 - 32*y**2 - y + 32. Let z be k(32). Factor 448*j**2 + 70*j + 5*j**3 + z - 403*j**2 - 2 + 2.
5*j*(j + 2)*(j + 7)
Let 242*i**4 + 262*i**4 - 72 + 256*i - 918*i**2 + 457*i - 177*i**3 - 114*i + 147*i**5 - 83*i = 0. Calculate i.
-3, -2, 2/7, 1
Let y(q) be the second derivative of -q**5/60 + q**4/2 - 28*q**3/9 - 535*q + 2. Factor y(x).
-x*(x - 14)*(x - 4)/3
Factor -279/5*b**4 + 3/5*b**5 + 0 - 89373/5*b**2 + 0*b + 8649/5*b**3.
3*b**2*(b - 31)**3/5
Suppose -21/5*l**3 - 27/5*l + 9*l**2 + 0 + 3/5*l**4 = 0. Calculate l.
0, 1, 3
Suppose -44 = -4*b - 48. Let w = 3 + b. Find u such that -u + 54*u**3 - 53*u**3 - u**w + u**2 = 0.
-1, 0, 1
Let n = 285121/12 - 23760. Let b(z) be the first derivative of 31 + n*z**3 + 36*z - 3*z**2. Determine l so that b(l) = 0.
12
Let o = -996760/13 - -76561. Let i = 113 + o. Find z, given that 2/13*z**4 + 2/13*z**5 + 4/13*z - i*z**2 + 0 - 6/13*z**3 = 0.
-2, -1, 0, 1
Factor 77766 - 450*l**4 + 40048 - 134550*l**2 + 5*l**5 - 32234 + 13495*l**3 + 49420 - 13500*l.
5*(l - 30)**3*(l - 1)*(l + 1)
What is y in -5860*y**2 - 3890*y**3 - 1048*y**5 - 960*y**4 + 522*y**5 - 3915*y + 531*y**5 - 980 = 0?
-1, 196
Let c(n) be the first derivative of n**5/15 - 107*n**4/12 + 2915*n**3/9 - 2809*n**2/6 + 936. Factor c(q).
q*(q - 53)**2*(q - 1)/3
Let x be (-32)/8 - (-18)/(-2 + 5). Factor 1335*h**5 - 8 + 1363*h**5 - 726*h**x - 81*h - 511*h**5 + 729*h**4 - 2106*h**3 + 5.
3*(h - 1)*(h + 1)*(9*h + 1)**3
Let o be (-33)/(-6)*(-4 + 78/13). Let b(q) be the first derivative of 0*q - 10/21*q**3 + 1/28*q**4 + o + 25/14*q**2. Let b(z) = 0. What is z?
0, 5
Let l be (-60)/45 + 26122/1110. Suppose l*a**2 - 27/5*a - 81/5*a**3 + 12/5*a**4 - 3 = 0. Calculate a.
-1/4, 1, 5
Suppose 161*h**2 + 366*h**4 + 129*h + 9*h**5 - 138*h**3 - 247*h**2 - 233*h**2 + 246 - 293*h**2 = 0. What is h?
-41, -1, -2/3, 1
Factor -131/5*j + 26 + 1/5*j**2.
(j - 130)*(j - 1)/5
Let s(u) be the third derivative of -u**5/12 + 115*u**4/6 + 470*u**3/3 - 1860*u**2 - 1. Suppose s(z) = 0. Calculate z.
-2, 94
Suppose 5*n - 5*q - 65 = 0, -3462*q + 31 = -n - 3465*q. Let v be (-50)/(-6) - (2 + 0). Factor -n + 7/3*c**2 - v*c.
(c - 3)*(7*c + 2)/3
Let o(q) be the first derivative of 4/5*q - 1/15*q**3 + 16 - 1/20*q**4 + 2/5*q**2. Determine p, given that o(p) = 0.
-2, -1, 2
Let g(a) be the first derivative of -5*a**4/4 - 1255*a**3 + 5*a**2/2 + 3765*a - 4684. Factor g(z).
-5*(z - 1)*(z + 1)*(z + 753)
Let q be ((-18)/(-14))/(57/133). Let b(w) be the second derivative of 1/3*w**4 + 0 + 2*w**2 + 4/3*w**q + 13*w. Factor b(j).
4*(j + 1)**2
Let n(j) = 2*j**3 + 14*j**2 + 22*j + 9. Let m be (-4)/18 + (-688)/144. Let o(u) = u**3 + 7*u**2 + 10*u + 3. Let i(x) = m*o(x) + 3*n(x). Solve i(p) = 0 for p.
-3, -2
Let b(r) = 47*r**3 - 130*r**2 - 11*r - 2. Let y(a) = -a**3 - a**2 + a + 1. Let h(n) = -6*n + 82. Let j be h(14). Let k(c) = j*y(c) - b(c). Factor k(x).
-3*x*(x - 3)*(15*x + 1)
Let i(o) be the third derivative of 0*o - 43/36*o**4 + 0 + 139*o**2 - 1849/18*o**3 - 1/180*o**5. Factor i(d).
-(d + 43)**2/3
Let t(d) be the second derivative of d**5/210 + 19*d**4/14 - 58*d**3/21 - 344*d**2/21 + 236*d + 14. Let t(o) = 0. What is o?
-172, -1, 2
Let j = -104 - -106. Determine s, given that -3*s**3 + 18*s**j - 16*s**4 + 188*s**5 - 4*s**4 - 185*s**5 + 2*s**4 = 0.
-1, 0, 1, 6
Let v(m) be the third derivative of -m**8/6720 + m**7/2520 + 5*m**4/24 - 3*m**3 + 150*m**2. Let l(t) be the second derivative of v(t). Factor l(s).
-s**2*(s - 1)
Let n(b) = 16*b**2 - b. Let l be n(-2). Suppose -238 = -16*y + 226. Factor -60*t**5 - 72*t**2 - 24*t**4 + y*t**5 - l*t**3 + 28*t**5 - 27*t.
-3*t*(t + 1)**2*(t + 3)**2
Let q(s) be the third derivative of -s**5/300 - 7*s**4/15 - 392*s**3/15 + 3*s**2 - 17. Factor q(y).
-(y + 28)**2/5
Let x = -149495 - -448525/3. Suppose x - 118/9*a - 2/9*a**2 = 0. Calculate a.
-60, 1
Suppose 4*y + 1584 + 962 = 3*k, 5*y - 4*k + 3183 = 0. Let f = y - -635. Let 0*n + 0*n**2 + 2/3*n**5 + 0*n**3 + f + 4/3*n**4 = 0. Calculate n.
-2, 0
Let x(b) be the third derivative of b**6/540 + 41*b**5/270 + 427*b**4/108 + 49*b**3 - 44*b**2 - 3. Factor x(g).
2*(g + 7)**2*(g + 27)/9
Let f(u) be the first derivative of 0*u**2 - 1/72*u**6 + 30 - 10*u**3 - 605/24*u**4 + 0*u - 11/12*u**5. Let w(n) be the third derivative of f(n). Factor w(k).
-5*(k + 11)**2
Suppose 1 = -3*g - 5. Let q(r) = r**3 + 5*r**2 + 7*r + 4. Let o be q(g). Determine u, given that -2*u**2 + 4*u**o - 2 + 3*u - 4 + u**2 = 0.
-2, 1
What is q in 2/7*q**4 - 13481116738/7 + 21398592/7*q**2 - 13459706812/7*q - 11332/7*q**3 = 0?
-1, 1889
Let u(k) = 6*k**3 + 3*k**2 - 8*k + 2. Let s be u(5). Let 2*h**3 - 3*h**3 - s*h**2 + 2*h**3 + 13*h + 773*h**2 + 20*h = 0. Calculate h.
0, 3, 11
Let f = 578239/1300977 + -3/144553. Factor 0 + f*r**3 + 16/9*r + 16/9*r**2.
4*r*(r + 2)**2/9
Suppose -17*o + 34 = -17. Find d, given that 25*d**o + 12*d**4 - 61 + 41 - 7*d**4 + 15*d**2 - 25*d = 0.
-4, -1, 1
Suppose -4/5*b**3 - 14/5*b**4 + 354/5*b**2 + 664/5*b + 64 = 0. What is b?
-4, -1, 40/7
Let l be (-4 + 3 + 2 + -1)*(-1894 + 1895). Factor 1/3*w**4 - 6*w + l + 37/3*w**2 - 20/3*w**3.
w*(w - 18)*(w - 1)**2/3
Factor 108*a**4 + 5184*a**2 + 3*a**5 + 33*a**3 + 101226 - 101226 + 1263*a**3.
3*a**2*(a + 12)**3
Let q(d) be the third derivative of -49*d**6/24 + 29365*d**5/6 - 41935*d**4/6 + 11980*d**3/3 + 61*d**2 - 32. Determine c, given that q(c) = 0.
2/7, 1198
Let m(a) = 17*a + 95. Let p be m(-5). Let h(y) = -4*y**2 + 30*y + 56. Let o(v) = v. Let x(j) = p*o(j) - h(j). Suppose x(s) = 0. What is s?
-2, 7
Let j(w) be the first derivative of w**3/9 - 587*w**2/6 + 390*w - 481. Let j(p) = 0. What is p?
2, 585
Determine g, given that 160/3*g + 6400/3 + 1/3*g**2 = 0.
-80
Let m(f) be the third derivative of -2 + 0*f - 4/3*f**5 + 1/6*f**6 + 65/24*f**4 + 67*f**2 - 5/2*f**3. Solve m(t) = 0 for t.
1/2, 3
Let d(h) be the third derivative of -h**9/483840 + h**8/161280 + h**7/20160 - 2*h**5/5 + 17*h**2. Let y(c) be the third derivative of d(c). Solve y(f) = 0.
-1, 0, 2
Let j(p) be the first derivative of -p**3/3 - 318*p**2 - 101124*p - 4099. Factor j(d).
-(d + 318)**2
Let x(v) be the second derivative of 1 + 5/3*v**4 - 25/6*v**3 - 10*v + 1/4*v**5 + 0*v**2. Let x(f) = 0. Calculate f.
-5, 0, 1
Suppose 393*r = 390*r + 39. Suppose -2*k = -r*k + 22. Let -5/4*g**k + 35/2*g - 245/4 = 0. Calculate g.
7
Let q(v) = -v**3 + 10*v**2 + 12*v + 9. Let p be q(9). Let l = -125 + p. Suppose s + 4*s**2 - 3*s**3 + 3*s - s**5 + l*s**4 - 77*s**4 = 0. Calculate s.
-2, -1, 0, 1
Let u(s) be the first derivative of -s**6/1260 + s**5/60 - 5*s**4/42 - 2*s**3/3 - 117*s**2/2 + 41. Let g(t) be the third derivative of u(t). Factor g(m).
-2*(m - 5)*(m - 2)/7
Let g be (-16)/60*760/(-1216). Let -1/2*s - 1/3 - g*s**2 = 0. What is s?
-2, -1
Let c(m) = -85*m**3 - 210*m**2 + 31560*m + 345640. Let w(q) = -19*q**3 - 47*q**2 + 7013*q + 76809. Let p(o) = 9*c(o) - 40*w(o). Factor p(x).
-5*(x - 30)*(x + 16)**2
Let v = -16 - -19. Let r be -4 + (-291)/((-9)/v). Determine h so that -r*h**2 + 1 + 95*h**2 - 1 = 0.
0
Let w(q) = -13*q**2 - 3*q + 25. Let y(g) = g**2 + 5*g + 19. Let p(c) = -c**2 - 3*c - 10. Let j(n) = 7*p(n) + 4*y(n). Let z(s) = -9*j(s) + 2*w(s). Factor z(a).
(a - 1)*(a + 4)
Let t(d) be the first derivative of d**3/12 - 165*d**2/8 - 169*d - 3486. Suppose t(n) = 0. Calculate n.
-4, 169
Let p(w) = 2*w**3 + 281*w**2 + 10902*w + 47715. Let o(g) = g**3 + 140*g**2 + 5451*g + 23868. Let s(f) = -5*o(f) + 3*p(f). What is v in s(v) = 0?
-69, -5
Let y(l) = -l**3 + 17*l**2 + l - 26. Let u(z) = 18*z**2 - 24. Let k(r) = 3*u(r) - 2*y(r). Factor k(h).
2*(h - 1)*(h + 1)*(h + 10)
Let i = 2654/11 - 13193/55. Solve -i*w**2 - 2/5 - 9/5*w = 0.
-1, -2/7
Let 52899/2*p + 53361/2 - 461/2*p**2 + 1/2*p**3 = 0. Calculate p.
-1, 231
Let t(f) be the third derivative of -7 + 0*f + 1/1680*f**8 - 4/75*f**5 + 7/300*f**6 - 1/15*f**3 + f**2 + 3/40*f**4 - 1/175*f**7. Factor t(k).
(k - 2)*(k - 1)**4/5
Suppose -22*c + 12 - 2 = -33*c + 16*c. Let q = 2 - 2. Factor 2/7*d**4 + q*d**3 - 2/7*d**c + 0*d + 0.
2*d**