1/90*q**5. Factor g(a).
a**2*(a - 2)*(a + 1)/3
Let u(o) = 4 - 2*o + 5*o**2 - 4*o**2 + 5*o. Let j be u(-3). Factor 4/9*t**3 - 2/9*t**5 + 4/9*t**2 - 2/9*t - 2/9*t**j - 2/9.
-2*(t - 1)**2*(t + 1)**3/9
Let m(d) = d**3 + d**2 - d + 5. Suppose 2*y - 5*q = 5, -4*q = 3*y - 6*y + 4. Let b be m(y). Factor -2*z**2 + 1 - 3 + 8*z + 1 - b.
-2*(z - 3)*(z - 1)
Suppose 0 = 2*v + v - 30. Suppose 3*y + 0*y = 6. Find l, given that -14*l**3 + 24*l**4 - 16 + 56*l + 12*l**y - 32*l**3 - v*l**4 = 0.
-1, 2/7, 2
Let l = -2 - -2. Let p be -1*(8 - 3) + 2 + 5. Factor 8/5*y + l*y**p + 0 - 2/5*y**3.
-2*y*(y - 2)*(y + 2)/5
Let h(b) be the third derivative of -b**5/15 + b**4/3 + 6*b**2 + 2. Factor h(z).
-4*z*(z - 2)
Let c be ((-48)/(-50))/((-237)/(-790)). Solve 2*o - 6/5*o**3 + c*o**2 - 12/5 = 0 for o.
-1, 2/3, 3
Solve -115*q + 65*q**4 - 2*q**5 - 24 + 26*q**2 + 18*q**3 - 67*q**4 + 99*q = 0.
-2, -1, 1, 3
Let a(o) be the third derivative of o**5/140 - 5*o**4/28 - 6*o**2. Factor a(q).
3*q*(q - 10)/7
Factor -3*s**4 - 9*s**3 - 27*s**2 - 55624 + 55624 - 21*s**3.
-3*s**2*(s + 1)*(s + 9)
Let r be (-3)/6*0/(-3). Let t(v) be the second derivative of 0*v**2 + 2/3*v**3 - 1/3*v**4 + r - 3*v + 1/20*v**5. Factor t(i).
i*(i - 2)**2
Find s such that -2*s**3 + 108*s - 21*s**2 - s**3 - 15*s**2 + 216 - 25*s**3 - 4*s**4 = 0.
-3, 2
Let r(g) = -g**2 - g. Let s(h) = -25*h**2 + 30*h. Let l(k) = 30*r(k) - s(k). Solve l(n) = 0.
-12, 0
Let u(v) be the first derivative of -16 - 3/5*v + 2/5*v**2 + 1/25*v**5 + 2/15*v**3 - 1/5*v**4. Factor u(a).
(a - 3)*(a - 1)**2*(a + 1)/5
Let c = 1626 + -292679/180. Let z(w) be the third derivative of 0*w - 125/9*w**3 + 0 - 1/6*w**5 + c*w**6 + 13*w**2 + 25/12*w**4. Suppose z(y) = 0. What is y?
5
Let k(g) = -5*g - 118. Let y be k(-24). Let j(h) be the first derivative of 0*h - y + 1/4*h**2 - 1/8*h**4 + 1/10*h**5 - 1/6*h**3. Factor j(c).
c*(c - 1)**2*(c + 1)/2
Let x(q) = -q**3 + q**2 + q + 2. Suppose -4*t + 2*i - 4*i + 12 = 0, -5*t = -3*i - 4. Let f be x(t). Factor -2 + 3*r + 0*r - r**2 + f*r.
-(r - 2)*(r - 1)
Let u(f) be the first derivative of 0*f**4 - 2/3*f + 29 + 4/9*f**3 - 2/15*f**5 + 0*f**2. Factor u(r).
-2*(r - 1)**2*(r + 1)**2/3
Suppose -3*v = 4*j - 0*v - 6, 3*j = 5*v + 19. Suppose -j*s = -9*s + 12. Factor 1 + 8*o**2 - 11*o**s + 2.
-3*(o - 1)*(o + 1)
Let z = -33 + 37. Suppose 5*w = 20, z*y - y - 5*w = -20. Determine a, given that y + 2/7*a**2 + 1/7*a**3 + 0*a = 0.
-2, 0
Determine u so that -11859 - 507*u**2 - 113 + 505*u**2 - 2140 - 336*u = 0.
-84
Let z(x) = -x**2 - 13*x - 7. Let q be z(-12). Let o be ((-150)/(-21))/q + -1. Let 0 + 0*l + 6/7*l**2 + o*l**4 + 9/7*l**3 = 0. Calculate l.
-2, -1, 0
Let t(p) = 2*p**4 + 4*p**3 + p**2 - p - 3. Let f(z) = z**2 + z - 1. Let k(m) = 3*f(m) - t(m). Factor k(d).
-2*d*(d - 1)*(d + 1)*(d + 2)
Factor 18*r - 7 + 12*r - 19 + 5*r**2 - 2 - 7.
5*(r - 1)*(r + 7)
Determine t so that 912/5*t + 24/5*t**3 - 144/5 - 292/5*t**2 = 0.
1/6, 6
Let x be 4*(7 + 1326/(-192)). What is c in -3/8*c**4 + x*c**3 + 3/8*c**2 - 3/8*c + 0 = 0?
-1, 0, 1
Let b = 895/4938 + -12/823. Factor b*u**2 - 1/6*u - 1/3.
(u - 2)*(u + 1)/6
Let k(p) = 4*p**3 - 48*p**2 + 672*p - 3369. Let s(x) = -3*x**3 + 47*x**2 - 673*x + 3371. Let v(c) = 2*k(c) + 3*s(c). Factor v(n).
-(n - 15)**3
Let j(m) = -10*m**2 + 3*m. Let l(u) = 11*u**2 - 3*u. Let i(x) = -4*j(x) - 3*l(x). Let y(d) = -3*d**2 + 2*d. Let b(s) = 6*i(s) + 15*y(s). Factor b(p).
-3*p*(p - 4)
Factor -48*i**2 + 48*i**4 - 81*i + 140*i**3 - 4943*i**5 - 63*i + 4947*i**5.
4*i*(i - 1)*(i + 1)*(i + 6)**2
Let y = -4931/15 - -1647/5. Find q, given that 20/3*q + y*q**2 + 50/3 = 0.
-5
Suppose 3*x - 4*k = 8*x, 0 = x - 3*k. Let t(i) be the first derivative of 1/15*i**3 + 1/10*i**2 + x*i + 9. Factor t(w).
w*(w + 1)/5
Let n(b) be the third derivative of -1/60*b**4 + 0*b + 0 + 1/75*b**5 + 8*b**2 - 2/15*b**3 + 1/300*b**6. Find x such that n(x) = 0.
-2, -1, 1
Let u = 749 + -13471/18. Let r(h) be the second derivative of 4*h - u*h**4 + 0*h**2 - 2/9*h**3 + 0 - 17/45*h**6 - 5/63*h**7 - 7/10*h**5. Factor r(j).
-2*j*(j + 1)**3*(5*j + 2)/3
Let w(t) = -8*t - 2*t - 11 + 13*t. Let k be w(5). Factor 7 - 24*q - 15 - k*q - 22*q**2 - 5*q**3.
-(q + 2)**2*(5*q + 2)
Find o such that 3/8*o**3 + 45/8*o**2 + 21/4*o + 0 = 0.
-14, -1, 0
Let h(t) be the third derivative of t**8/448 + t**7/140 - t**5/40 - t**4/32 - 6*t**2 + 10*t. Determine a, given that h(a) = 0.
-1, 0, 1
Let v be (504/30)/((-3)/10). Let l be 22/8 - 14/v. Factor -4*y**4 - y**4 + y**4 + 2*y**l.
-2*y**3*(2*y - 1)
Let c(g) be the first derivative of 10 - 3*g - 1/12*g**4 + 5/9*g**3 - 1/2*g**2. Find o, given that c(o) = 0.
-1, 3
Let b be (2/(-3))/(6/9)*-1. Suppose -5*d = -6*d + b. Factor 1/2*n + d - 1/2*n**2.
-(n - 2)*(n + 1)/2
Let k(x) be the second derivative of 125/4*x**2 - 1/40*x**5 + 5/8*x**4 - 8*x + 0 - 25/4*x**3. Let k(i) = 0. Calculate i.
5
Let g(t) = t**3 - t**2 - t + 1. Let b(j) = -31*j**2 - 18*j**2 + 29 - 17*j**3 - 16 - 37*j. Let c(m) = -b(m) - 3*g(m). Factor c(n).
2*(n + 2)**2*(7*n - 2)
Let p(s) = 2*s**2 + s - 1. Let x(z) = -10*z**2 - 64*z - 446. Let y(c) = -4*p(c) - x(c). Factor y(i).
2*(i + 15)**2
Let b be 86/420 + (-15)/(3150/28). Let l(h) be the first derivative of -6 - b*h**4 + 2/7*h + 1/7*h**2 - 2/21*h**3. Factor l(p).
-2*(p - 1)*(p + 1)**2/7
Let d(z) be the first derivative of -2*z**6 + 4*z**5 + 2*z**4 - 8*z**3 + 2*z**2 + 4*z + 90. What is r in d(r) = 0?
-1, -1/3, 1
Factor 2/17*n**2 + 0 + 494/17*n.
2*n*(n + 247)/17
Let g(a) be the first derivative of a**7/70 + 3*a**6/40 - a**4/2 + 5*a**2/2 - 11. Let f(d) be the second derivative of g(d). Determine t so that f(t) = 0.
-2, 0, 1
Let l(p) be the second derivative of -p**7/252 - p**6/18 - 11*p**5/40 - 5*p**4/9 - 4*p**3/9 + 73*p. Let l(w) = 0. What is w?
-4, -1, 0
Let c be 142/84 + (-3)/2. Let s(a) be the first derivative of 3 + 1/14*a**4 + 0*a**2 + c*a**3 + 0*a. Factor s(b).
2*b**2*(b + 2)/7
Determine f, given that 3/7*f**2 + 8427/7 + 318/7*f = 0.
-53
Let j(w) be the second derivative of -w**7/70 + w**6/8 - 7*w**5/20 + 3*w**4/8 - 11*w**2/2 - 11*w. Let l(v) be the first derivative of j(v). Factor l(z).
-3*z*(z - 3)*(z - 1)**2
Let j be ((-10)/4)/(5 + (-560)/96). Factor 3/2*k**4 + 3*k**3 + 9/2 - 6*k**2 - j*k.
3*(k - 1)**2*(k + 1)*(k + 3)/2
Suppose m - 3 + 12 = 0. Let n be 4 + 44/m*-1. Factor -2/9*x**5 + 20/9*x**4 + 160/9*x**2 - 160/9*x + 64/9 - n*x**3.
-2*(x - 2)**5/9
Let j be 15*7/(5 - -16). Let g(w) be the third derivative of -1/240*w**j + 0*w - 1/24*w**3 + 0 + 1/48*w**4 + 4*w**2. What is m in g(m) = 0?
1
Let p(s) be the third derivative of 0*s + 1/27*s**4 + 0*s**3 + 1/540*s**6 + 0 - 2/135*s**5 + 8*s**2. Let p(h) = 0. Calculate h.
0, 2
Let z(r) be the third derivative of 24*r**2 + 1/13*r**4 + 16/39*r**3 - 1/780*r**6 + 0*r**5 + 0 + 0*r. Solve z(p) = 0 for p.
-2, 4
Suppose 6 = 3*n - n. Factor -14*p**5 + 4*p**n - 950*p + 950*p + 10*p**4.
-2*p**3*(p - 1)*(7*p + 2)
Suppose -62 = -3*k - 53. Let q(i) be the first derivative of -2/15*i**k - 4 + 2/5*i + 0*i**2. Factor q(n).
-2*(n - 1)*(n + 1)/5
Let n be -3 - -10 - (-2581)/(-377). Let 0 + 12/13*w**2 + n*w + 18/13*w**3 + 8/13*w**4 = 0. What is w?
-1, -1/4, 0
Let u = 4 + 11. Suppose -5*t = -v + u, -2*t - t + 4 = 2*v. Factor s**2 - v*s**2 + 5 - 1 - 4*s**3 + 7*s - 3*s.
-4*(s - 1)*(s + 1)**2
Let o = 17 + -14. Factor 3*t**2 + 2*t**4 + 29*t**3 + 18 - 7*t**2 - 47*t**o + 26*t**3 - 24*t.
2*(t - 1)**2*(t + 3)**2
Factor -1/11*l**2 - 7/11*l - 6/11.
-(l + 1)*(l + 6)/11
Let h(b) = -820*b - 3278. Let n be h(-4). Solve 2/5*l - 8/5 - 2/5*l**3 + 8/5*l**n = 0.
-1, 1, 4
Let x = 148 + -144. Factor -3*w**x + 5*w**4 + 0*w**3 - 2*w**5 - 2*w**2 + 0*w**3 + 2*w**3.
-2*w**2*(w - 1)**2*(w + 1)
Let z(y) = y**3 + 29*y**2 - 135*y - 94. Let b be z(-33). Determine q so that 2/3*q**2 + 0 - 1/3*q**b + 4/3*q**3 - q - 2/3*q**4 = 0.
-3, -1, 0, 1
Let x(z) be the third derivative of -27*z**6/40 - 78*z**5/5 + 107*z**4/6 - 8*z**3 + 13*z**2 - 6*z. What is y in x(y) = 0?
-12, 2/9
Let c(g) be the third derivative of -3*g**2 - 1/300*g**6 + 0*g**4 + 0*g + 0*g**3 + 1/50*g**5 + 7. Suppose c(j) = 0. What is j?
0, 3
Let y(u) = 6*u**4 - 22*u**2 + 8. Let p(d) = -6*d**4 + d**3 + 21*d**2 - 8. Let s(f) = -4*p(f) - 3*y(f). Factor s(c).
2*(c - 2)*(c + 1)**2*(3*c - 2)
Let f(z) be the first derivative of z**4/38 + 2*z**3/57 - 4*z**2/19 - 8*z/19 + 269. Factor 