Calculate j.
-1/4, 1
Factor -22*l - 191*l**2 + 4 + 70*l + 40*l**2 - 3*l + 38*l**3 + 103*l.
(l - 2)**2*(38*l + 1)
Let r(a) be the second derivative of -a**4/48 - 5*a**3/12 + 3*a**2 + 69*a. Factor r(z).
-(z - 2)*(z + 12)/4
Let f(x) be the second derivative of x**5/10 - 5*x**4/3 + 28*x**3/3 - 24*x**2 + 218*x. What is n in f(n) = 0?
2, 6
Let o = -6570 - -6575. Find m, given that 0*m - 8/5*m**3 + 0 - 2/5*m**2 + 8/5*m**o + 2/5*m**4 = 0.
-1, -1/4, 0, 1
Let y(r) be the first derivative of r**8/1512 - r**7/189 + r**6/60 - 7*r**5/270 + r**4/54 + 5*r**2 + 7. Let z(u) be the second derivative of y(u). Factor z(f).
2*f*(f - 2)*(f - 1)**3/9
Let j(y) = -2*y**2 - 4*y + 4. Let d(c) = -18*c + c**2 + 22*c + 0*c**2 - 4. Let f(z) = 3*d(z) + 2*j(z). Let f(u) = 0. Calculate u.
2
Let p(g) be the third derivative of g**5/15 + 43*g**4/3 + 3698*g**3/3 + 28*g**2 - 3. Factor p(v).
4*(v + 43)**2
Let r(a) be the second derivative of a**9/10584 - a**8/1470 + a**7/588 - a**6/630 + 11*a**3/3 - 15*a. Let u(w) be the second derivative of r(w). Solve u(z) = 0.
0, 1, 2
Let o(x) = x**3 - 14*x**2 + 4*x - 9. Let n be o(14). Let v = -42 + n. Determine u, given that 0*u**3 + 0 - 1/8*u**4 - 1/8*u**v + 0*u + 0*u**2 = 0.
-1, 0
Let l(y) be the third derivative of 0 + 1/240*y**5 + 5*y**2 + 1/480*y**6 + 0*y**4 + 0*y**3 + 0*y. Factor l(s).
s**2*(s + 1)/4
Let q(d) be the first derivative of 4*d**5/5 + 13*d**4 - 56*d**3/3 - 67. Factor q(l).
4*l**2*(l - 1)*(l + 14)
Let q(r) be the third derivative of r**5/10 - 41*r**4/12 - 14*r**3/3 + r**2 - 48. Let q(k) = 0. Calculate k.
-1/3, 14
Let g(j) be the first derivative of -j**8/1344 - j**7/210 + j**6/160 + 3*j**5/40 + 7*j**2 + 26. Let o(y) be the second derivative of g(y). Factor o(d).
-d**2*(d - 2)*(d + 3)**2/4
Let v(o) be the first derivative of 2*o**5/35 + 3*o**4/14 - 10*o**3/21 - 3*o**2/7 + 8*o/7 - 585. Let v(s) = 0. Calculate s.
-4, -1, 1
Let g = 25 + -40. Let q be 0/(g/9 + (-14)/(-21)). Factor -2/9*v + q - 2/3*v**3 + 8/9*v**2.
-2*v*(v - 1)*(3*v - 1)/9
Let c(l) = -l**3 + 2*l**2 + 3*l - 3. Let r be c(2). Suppose 41*u = 32*u + 18. Factor -1/3*w**r - 8/3 - 4*w - u*w**2.
-(w + 2)**3/3
Let v(d) be the first derivative of -25/9*d**3 - 7/15*d**5 + 8/3*d**2 - 4/3*d + 1/18*d**6 - 3 + 19/12*d**4. Find p such that v(p) = 0.
1, 2
Let i(x) be the first derivative of 0*x**2 - x + 12 + 1/3*x**3. Factor i(w).
(w - 1)*(w + 1)
Let f be 116921/(-49) - (3 - 1). Let o = -2383 - f. Find i such that 4/7*i**2 - 24/7*i + o = 0.
3
Let y = 8560 - 8560. Factor 1/4*w**2 + 3/4*w**3 + y - 3/4*w - 1/4*w**4.
-w*(w - 3)*(w - 1)*(w + 1)/4
Let -1/10*f**2 + 14/5 + 6/5*f = 0. Calculate f.
-2, 14
Let 3509 + 6927*v - 184*v**3 + 11979 - 38*v**4 + 4584*v**2 + 40*v**4 - 23119*v = 0. What is v?
2, 44
Let i(t) be the third derivative of t**6/540 - 11*t**5/270 + 13*t**4/54 - 16*t**3/27 + 60*t**2. Factor i(m).
2*(m - 8)*(m - 2)*(m - 1)/9
Let w(q) = 4*q**3 + 9*q - 10. Let f(p) = p**3 - 2. Let z(k) = 5*f(k) - w(k). Find d, given that z(d) = 0.
-3, 0, 3
Let m(x) be the first derivative of 3*x**4/16 - 7*x**3/2 + 33*x**2/2 - 30*x - 169. Factor m(r).
3*(r - 10)*(r - 2)**2/4
Let x(n) = -4*n**2 - 3*n + 54. Let d be x(-4). Suppose 16/3*j + 4/3*j**d + 16/3 = 0. What is j?
-2
Determine p so that 196/3*p**5 + 280/3*p**2 + 574/3*p**4 - 32/3*p - 256*p**3 + 0 = 0.
-4, 0, 2/7, 1/2
Let x = -42404 + 551576/13. Factor x + 6/13*b**3 + 112/13*b**2 + 558/13*b.
2*(b + 9)**2*(3*b + 2)/13
Let i(z) be the third derivative of 25*z**8/1008 - 29*z**7/126 + 13*z**6/45 - z**5/9 - 5*z**2. Factor i(g).
g**2*(g - 5)*(5*g - 2)**2/3
Factor -147*j**3 - 30*j + 6*j**2 + 144*j**3 + 18*j**2 - 18*j.
-3*j*(j - 4)**2
Let r(z) be the second derivative of z**3/6 + 7*z**2/2 + 2*z. Let t be r(-5). Factor -2*u**2 - u**t + 9*u + 0*u**2.
-3*u*(u - 3)
Let i = 99331/8 + -12398. Find v such that -129/2*v + 483/4*v**2 - i*v**3 + 9 = 0.
2/7, 6
Suppose -8*q + 2*q = -60. Suppose q*k - 25 = -5. Determine z so that 28/5*z**k - 16/5*z**3 - 8/5*z - 4/5 = 0.
-1/4, 1
Let x(v) be the second derivative of 5*v**4/12 + 25*v**3/6 - 35*v**2 - 29*v - 1. Factor x(q).
5*(q - 2)*(q + 7)
Let g(q) be the second derivative of q**6/30 - 9*q**5/50 - 11*q**4/60 + 2*q**3/5 - 3*q + 150. Determine x so that g(x) = 0.
-1, 0, 3/5, 4
Let i = 319/60 + -21/4. Let x(m) be the second derivative of 0*m**2 + 4*m + 0 + 1/60*m**4 + i*m**3. Find l, given that x(l) = 0.
-2, 0
What is m in 37/9*m**2 - 10/9*m**3 + 4 - 20/3*m + 1/9*m**4 = 0?
2, 3
Factor -304*p - 326*p**3 + 10 + 22*p**3 - 151*p**3 + 450*p**2 + 439*p + 780*p.
-5*(p - 2)*(p + 1)*(91*p + 1)
Let x(k) be the first derivative of -85/3*k**3 + 15*k**2 + 5/6*k**6 + 0*k + 85/4*k**4 + 35 - 7*k**5. Determine a so that x(a) = 0.
0, 1, 2, 3
Let c = 33537 + -33537. Solve c*x - 9/5*x**3 + 0 + 3/5*x**2 = 0 for x.
0, 1/3
Let w = 3108 - 21754/7. Find p, given that w*p**3 + 0 + 0*p + 10/7*p**2 = 0.
-5, 0
Let r(d) = -10*d - 20. Let i be r(-4). Let -i - 20*m + 25*m**2 - 58*m**2 + 28*m**2 = 0. Calculate m.
-2
Let y(p) be the first derivative of -3*p**5/35 + 143*p**4/28 - 1678*p**3/21 - 48*p**2 + 1152*p/7 + 218. Determine d so that y(d) = 0.
-1, 2/3, 24
Let w(n) be the second derivative of n**4/30 + 4*n**3 + 180*n**2 + 2*n - 7. Suppose w(m) = 0. What is m?
-30
Let b = 49/90 - 5/18. Let g(z) be the first derivative of 7/5*z**2 - 2/5*z**5 + 4 - 11/10*z**4 + 14/15*z**3 + b*z**6 - 4/5*z. Suppose g(u) = 0. What is u?
-1, 1/4, 1, 2
Let x = 7396/15 + -493. Let k(l) be the first derivative of -1/4*l**4 - 3 - 2/3*l + 1/9*l**3 + 1/2*l**2 + x*l**5. Factor k(g).
(g - 2)*(g - 1)**2*(g + 1)/3
Let j(b) be the first derivative of 3*b**6/2 + 42*b**5/5 + 3*b**4 - 18*b**3 - 21*b**2/2 + 12*b - 7. Find x, given that j(x) = 0.
-4, -1, 1/3, 1
Let w(j) be the first derivative of j**3/21 + 24*j**2/7 + 576*j/7 + 74. Determine h, given that w(h) = 0.
-24
Let h = 145834/5 - 29162. Suppose -22/5*m**2 - 1/5*m**4 - h*m - 9/5 - 8/5*m**3 = 0. Calculate m.
-3, -1
Let k(m) = -2*m**3 + 9*m**2 + 6*m - 12. Let a(z) = 2*z**3 - 10*z**2 - 5*z + 11. Let f(n) = -5*a(n) - 4*k(n). Let v be f(7). Solve -2/3*w - 2/3*w**2 + v = 0.
-1, 0
Let s(r) be the first derivative of r**5/25 - 3*r**4/20 - r**3/15 + 3*r**2/10 - 72. What is d in s(d) = 0?
-1, 0, 1, 3
Let i(a) be the first derivative of -a**4/16 + a**3 + 2. Suppose i(m) = 0. Calculate m.
0, 12
Suppose 3*q - 12 = -9. Suppose k = 2*k + y + q, 5*y + 15 = 0. Factor 22*w**k + w + w**3 - 20*w**2 + 0*w**3.
w*(w + 1)**2
Let m(q) be the third derivative of -96*q**5/5 + 4*q**4 - q**3/3 - 29*q**2 - 3*q. Factor m(d).
-2*(24*d - 1)**2
Let j(m) be the third derivative of -m**6/420 + 2*m**5/35 - 4*m**4/7 + 64*m**3/21 + 2*m**2 + 7*m. Factor j(z).
-2*(z - 4)**3/7
Suppose -5*q + 8 = -2. Suppose -k = q*k - 9. Factor 9*z - 1 - 12*z**2 - 2 + k*z**2 + 3*z**3.
3*(z - 1)**3
Factor -7 + 3*y + 1/4*y**2.
(y - 2)*(y + 14)/4
Let u(q) = -12*q**2 - 18*q - 10. Let g(f) = -24*f**2 - 35*f - 21. Let i(o) = -2*g(o) + 5*u(o). Suppose i(s) = 0. Calculate s.
-1, -2/3
Let a(c) be the second derivative of 8*c**5/35 + 5*c**4/7 - 4*c**3/21 - 21*c - 1. What is x in a(x) = 0?
-2, 0, 1/8
Solve 1/10*g**5 + 18/5*g + 1/5*g**4 - 6/5*g**2 - 11/10*g**3 + 0 = 0.
-3, 0, 2
Let i be 0/(-1 + 4 - 1). Suppose 2*x - 4 - 2 = i. Solve 2 + a**2 - 1 + x - 5 = 0.
-1, 1
Let w = 197 + -191. Let u(a) be the second derivative of 0 - 98/5*a**5 + 54*a**2 - 686/15*a**w + 84*a**4 + 4*a + 108*a**3. Factor u(z).
-4*(z - 1)*(7*z + 3)**3
Let c be (-6)/39 - 168/(-78). Factor 9*v**2 - 3 - 5*v**c - 1.
4*(v - 1)*(v + 1)
Let x(l) be the second derivative of l**4/3 + 2*l**3 + 4*l**2 + 72*l. Factor x(v).
4*(v + 1)*(v + 2)
Suppose -r = 2*r - 9. Let u be (-1)/2 - (-4 + 0 + r). Factor 0*b - u + 1/2*b**2.
(b - 1)*(b + 1)/2
Let d(a) be the third derivative of 27*a**3 + 2*a**2 + 0 + 1/30*a**5 + 0*a - 3/2*a**4. What is v in d(v) = 0?
9
Let p(z) be the first derivative of 2*z**7/105 + 2*z**6/15 + z**5/3 + z**4/3 - 9*z**2 + 16. Let b(r) be the second derivative of p(r). Factor b(w).
4*w*(w + 1)**2*(w + 2)
Let m(u) = u**2 + 17*u + 3. Let s be ((-17)/(-2))/(4/(-8) + 0). Let z be m(s). What is h in 2/7*h - 2/7*h**2 + 2/7 - 2/7*h**z = 0?
-1, 1
Solve -30/7*n - 1/7*n**2 + 31/7 = 0 for n.
-31, 1
Find j such that 0 + j**3 + 0*j - 1/3*j**4 + 6*j**2 = 0.
-3, 0, 6
Suppose 502 = -9*t + 556. Factor -t*x**2 - 2/3*x - 27/2*x**3 + 0.
-x*(9*x + 