2 - 384. Factor p(g).
-g*(g - 11)*(g + 1)**3/6
Suppose -3*h = 5*d - 17, 2*d + 7 = -3*h + 21. Let l(n) be the first derivative of d - 1/2*n**3 + 3/4*n**2 + 1/8*n**4 - 1/2*n. Factor l(p).
(p - 1)**3/2
Let q(a) be the first derivative of -1/3*a**3 + 3*a**2 - 1/6*a**4 - 2 - 1/30*a**5 + 0*a. Let s(x) be the second derivative of q(x). Factor s(f).
-2*(f + 1)**2
Let s(g) = 70*g**4 + 125*g**3 - 55. Let x(h) = 5*h**4 + 9*h**3 - 4. Let k be ((-65)/(-52))/(2/(-88)). Let i(f) = k*x(f) + 4*s(f). Solve i(b) = 0 for b.
-1, 0
Let v = 105 + 8. Factor -4*w**3 + v*w**2 - 65*w**2 - 56*w**2 - 4*w.
-4*w*(w + 1)**2
Let c = 106/15 - 20/3. Let w be (1 + 1/(-2))/((-45)/(-36)). Factor 2/5*l**2 - c*l**4 + 0 + 2/5*l - w*l**3.
-2*l*(l - 1)*(l + 1)**2/5
Let i be -2 - -4 - ((-920)/3)/2. Let k = 156 - i. Factor 0*n + k*n**5 + 2*n**4 + 2*n**3 + 2/3*n**2 + 0.
2*n**2*(n + 1)**3/3
Let o(t) be the first derivative of 2*t**6/75 + t**5/25 - 4*t**4/15 - 8*t**3/15 + 26*t - 21. Let q(z) be the first derivative of o(z). Factor q(c).
4*c*(c - 2)*(c + 1)*(c + 2)/5
Let p(y) = -13*y**3 + 246*y**2 + 10091*y + 137847. Let t(q) = -5*q**3 + 123*q**2 + 5045*q + 68923. Let d(f) = 2*p(f) - 5*t(f). Find z, given that d(z) = 0.
-41
Let x(p) be the second derivative of p**7/147 + 2*p**6/21 + 18*p**5/35 + 9*p**4/7 + 9*p**3/7 - 531*p. Factor x(m).
2*m*(m + 1)*(m + 3)**3/7
Let v = -164 - -437. Let c = -268 + v. Solve 0 + 0*p + 0*p**3 + 0*p**2 + 1/5*p**4 + 1/5*p**c = 0 for p.
-1, 0
Let a(n) be the third derivative of n**6/540 + 29*n**5/270 - n**4/108 - 29*n**3/27 - 86*n**2 - 4*n. Factor a(u).
2*(u - 1)*(u + 1)*(u + 29)/9
Suppose 2*v = -4, 0 = -0*t - 4*t + 2*v + 44. Determine h so that 4*h**4 - 6*h**4 + 54*h**2 - 64*h - t*h**3 + 0*h**5 - 4*h**4 + 2*h**5 + 24 = 0.
-3, 1, 2
Let j(d) be the second derivative of -d**6/2520 + d**5/70 - 3*d**4/14 + 35*d**3/6 + 25*d. Let a(t) be the second derivative of j(t). Factor a(i).
-(i - 6)**2/7
Let h = 20 + -17. Suppose h + 39 = 6*q. Factor -4 + q*c - c**2 - 5*c**3 + 2*c**3 + c.
-(c - 1)*(c + 2)*(3*c - 2)
Let f(w) be the first derivative of -5*w**4/4 + 4*w**3 + 18*w**2 - 16*w - 124. Solve f(n) = 0 for n.
-2, 2/5, 4
Let q = 12 - 19. Let r = 10 + q. Suppose 0*d**3 - 3*d**3 + 2*d**r - 2 + d**4 + 5*d - 3*d**2 = 0. Calculate d.
-2, 1
Let o(p) be the second derivative of p**5/4 + 95*p**4/4 - 195*p**3/2 + 295*p**2/2 + 6*p + 18. Let o(f) = 0. What is f?
-59, 1
Let b(n) be the second derivative of n**4/12 - 6*n**3 + 35*n**2/2 + 2*n - 42. Determine r so that b(r) = 0.
1, 35
Let v(z) = 4*z**4 - 40*z**3 + 150*z**2 - 240*z + 142. Let m(j) = j**2 - 1. Let d(l) = -2*m(l) + v(l). Factor d(p).
4*(p - 3)**2*(p - 2)**2
Let r(u) be the third derivative of -1/30*u**5 + 0 + 0*u**3 - 11*u**2 + 0*u - 1/12*u**4. Factor r(w).
-2*w*(w + 1)
Factor 113*w**2 - 69*w - 142*w**2 - 43*w**2 - 3*w**3.
-3*w*(w + 1)*(w + 23)
Suppose -a + 4*i = -0*a, -125 = -5*a - 5*i. Factor 0*g**2 - 7*g - g**2 - 1 - 11*g + a*g.
-(g - 1)**2
Suppose 4*m = 6 + 6. Solve 4*i**3 + 3*i**2 - 6*i**m - i - 8*i**2 + 2 = 0 for i.
-2, -1, 1/2
Find l such that -2*l**4 + 102*l**3 + 42*l + 50*l**2 - 90*l**3 - 6*l = 0.
-2, -1, 0, 9
Let w(d) = -d**3 + 3*d + 2. Let m(x) = -x**3 + 3*x + 2. Let p = -19 - -12. Let r = p - -10. Let z(u) = r*w(u) - 2*m(u). Factor z(y).
-(y - 2)*(y + 1)**2
Let u(r) be the second derivative of r**4/4 - 51*r**3/2 + 106*r. What is q in u(q) = 0?
0, 51
Factor 26 - 28/3*h + 2/9*h**2.
2*(h - 39)*(h - 3)/9
Let y be 0 + (6/(-9) - (-1031)/(-6)). Let a = y - -176. Factor 4*m**2 - 13*m**4 + 0*m + 0 - 10*m**3 - a*m**5.
-m**2*(m + 2)**2*(7*m - 2)/2
Let p(m) be the second derivative of -1/40*m**5 - 10*m + 1/3*m**3 + 0*m**2 + 0*m**4 + 0. Find o, given that p(o) = 0.
-2, 0, 2
Let a(z) be the third derivative of -z**7/945 + z**6/540 + z**5/90 - 5*z**4/108 + 2*z**3/27 + 2*z**2 + 8*z. Factor a(o).
-2*(o - 1)**3*(o + 2)/9
Let t(c) = 13*c**2 - 368*c + 461. Let z be t(27). Factor -3 - 7/2*f - 1/2*f**z.
-(f + 1)*(f + 6)/2
Let u(m) = m + 1. Let t(k) = -k**3 + 9*k + 9. Let c = 5 - -3. Suppose -q + c = q. Let r(h) = q*t(h) - 36*u(h). Factor r(d).
-4*d**3
Let g(i) = 15*i**4 + 6*i**3 - 15*i**2 - 6*i - 3. Let c(v) be the first derivative of -v - 25. Let m(q) = -3*c(q) + g(q). Solve m(h) = 0.
-1, -2/5, 0, 1
Let d(u) be the third derivative of -u**5/480 - 11*u**4/48 - 121*u**3/12 - 16*u**2. Factor d(g).
-(g + 22)**2/8
Let j = 80/43 - 68/129. Find k such that -1/3*k**2 - j*k - 1 = 0.
-3, -1
Let w be 170/30 + 2/6. Let u = w - 2. Factor 4 + u*i + 4*i**3 - i**4 - 3 - 6*i**2 + 2 - 4.
-(i - 1)**4
Let o(t) = -t**3 - t + 1. Let b(y) = y**3 - 4*y + 4. Let i be (-1)/(-8) - 56/(-64). Let p(d) = i*b(d) - 4*o(d). Factor p(w).
5*w**3
Let n be (-354)/(-429) + 172/(-473). Find g, given that -6/13*g + 2/13*g**5 + 4/13*g**3 - n*g**4 + 4/13*g**2 + 2/13 = 0.
-1, 1
Let k be -2 - 2*(-68)/24 - 3. Suppose 26*w - 22*w = 0. Factor -k*y**3 - 4/3 + w*y**2 + 2*y.
-2*(y - 1)**2*(y + 2)/3
Let x(k) = -k**4 - k**2 - k - 1. Let z(m) = -25*m**4 + 62*m**3 - 71*m**2 + 21*m - 7. Let g(p) = -10*x(p) + 2*z(p). Factor g(y).
-4*(y - 1)**3*(10*y - 1)
Let -576*x**3 - 806*x**2 - 4*x**5 - 1093*x**2 + 86*x**2 + x**5 + 277*x**2 - 72*x**4 = 0. Calculate x.
-8, 0
Let j be 14/8 + 13/52. Let k = -2 - -2. Factor 16*o - o**2 + k*o**2 + j*o**2 - 18*o.
o*(o - 2)
Suppose 3*r + n - 18 = 0, n = 2*r - 7*r + 28. Let q(w) be the first derivative of 1/21*w**6 + 0*w + 0*w**4 + 0*w**2 + 6/35*w**r - 8/21*w**3 - 6. Factor q(z).
2*z**2*(z - 1)*(z + 2)**2/7
Suppose 2*v - 3 = 3*a + 5, 0 = -4*v + 2*a. Let k be -2 - (v - 3) - -1. Let -36*p**3 - p**k + 32*p**3 + 11*p**4 = 0. Calculate p.
0, 2/5
Let k be 2/(-2) - 1/(-1). Let r = 17 - 2. What is q in -3*q**2 + 17*q + 3*q**5 + 7*q - 12 + 5*q**4 + k*q - r*q**3 - 2*q**4 = 0?
-2, 1
Factor 2*z**3 - 15*z**3 - 8*z**2 + z**3 + 17*z - 5.
-(2*z - 1)**2*(3*z + 5)
Let f be ((-396)/165)/(12/(-10)). Determine q, given that -17/2*q - 11/2*q**f - 3 = 0.
-1, -6/11
Let y = 45 - 30. Let v = -9 + y. Factor v*u**2 + 21*u**3 + 0*u + u + 15*u**4 - u.
3*u**2*(u + 1)*(5*u + 2)
Let d(a) be the second derivative of -a**4/12 - 11*a**3/3 - 105*a**2/2 - 2*a + 159. Determine c, given that d(c) = 0.
-15, -7
Let g(a) be the second derivative of -5*a**4/34 - 73*a**3/51 + 10*a**2/17 - 394*a. Solve g(c) = 0 for c.
-5, 2/15
Let 19*v**2 + 36*v**2 - 27*v - 15*v**3 - 4*v**2 - v**2 - 50 + 162*v = 0. What is v?
-2, 1/3, 5
Factor -548/5*j + 282*j**2 - 255*j**3 + 25*j**4 + 72/5.
(j - 9)*(5*j - 2)**3/5
Let s(v) be the third derivative of -v**10/151200 + v**9/60480 + v**5/12 - v**2. Let d(p) be the third derivative of s(p). Suppose d(c) = 0. What is c?
0, 1
Let m(k) be the second derivative of -k**4/36 - 38*k**3/3 - 2166*k**2 + 45*k - 5. Solve m(j) = 0 for j.
-114
Let k be 11*(-1 - 6/(-4)) - 1. Determine t so that -12*t - k*t**2 + 9/2 = 0.
-3, 1/3
Determine p so that -275*p**3 - 65*p**4 + 122*p - 5*p**5 - 562*p - 545*p**2 - 140 + 30*p**2 = 0.
-7, -2, -1
Let m(v) be the first derivative of v**3/9 + v**2/2 + 2*v/3 - 101. What is t in m(t) = 0?
-2, -1
Let r be (-819)/162*2 - -11. Find h, given that r*h + 0 - 10/9*h**4 - 26/9*h**3 - 8/9*h**2 = 0.
-2, -1, 0, 2/5
Let q(x) be the third derivative of 1/3*x**5 + 5/3*x**3 - 12*x**2 - 25/24*x**4 - 1/24*x**6 + 0*x + 0. Let q(h) = 0. Calculate h.
1, 2
Factor -4/5*j**2 - 52/5*j + 56/5.
-4*(j - 1)*(j + 14)/5
Suppose 12*j - 36 = 8*j. Factor j*r - 2*r**2 - 5*r - 16 - 2*r**3 + 7*r + 9*r.
-2*(r - 2)*(r - 1)*(r + 4)
Let f(i) be the second derivative of -i**5/190 + 5*i**4/114 + 14*i**3/57 + 4*i - 15. Factor f(d).
-2*d*(d - 7)*(d + 2)/19
Let r = -12 - -19. Suppose 4*g - 5 = r. Factor -21*b**2 - 5*b**4 + 66*b**2 - 33*b**g + 2 + 4 - 27*b + 14*b**4.
3*(b - 1)**3*(3*b - 2)
Let u(o) be the third derivative of 3*o**2 - 7/204*o**4 - 8/51*o**3 + 0*o - 2 + 1/510*o**5. Find d such that u(d) = 0.
-1, 8
Solve -4 + 216*d**2 - 35*d - 192*d**3 + 80*d**4 - 38*d**5 - 81*d + 28 + 26*d**5 = 0 for d.
2/3, 1, 3
Let x(s) be the third derivative of -s**5/12 + 25*s**4/24 + 125*s**3/3 + s**2 + 156*s. Factor x(o).
-5*(o - 10)*(o + 5)
Let n(y) be the second derivative of -y**6/1800 - y**5/120 + 10*y**3/3 + 36*y. Let q(m) be the second derivative of n(m). Suppose q(k) = 0. Calculate k.
-5, 0
Factor -23 - 120*t**2 - 7678*t**3 - 5*t**4 + 110*t + 7728*t**3 - 12.
-5*(t - 7)*(t - 1)**3
Let k(p) be the second deri