derivative of h**4/18 + 2*h**3/3 + 8*h**2/3 + 32*h/9 - 5. Factor x(t).
2*(t + 1)*(t + 4)**2/9
Let r(v) be the first derivative of 2*v**2 + 1 + 2/3*v**3 + 0*v. Factor r(f).
2*f*(f + 2)
Find b, given that -39/7*b**4 - 12/7 - 15/7*b**5 + 51/7*b**2 + 3/7*b**3 + 12/7*b = 0.
-2, -1, 2/5, 1
Let p = 7182/5 - 1436. Factor p*i**3 + 2/5*i + 4/5*i**2 + 0.
2*i*(i + 1)**2/5
Factor 40*t**2 + 18*t**3 - 2*t**5 + 12*t**3 + 4*t**5 - 18*t**4 + 10*t**2.
2*t**2*(t - 5)**2*(t + 1)
Let z be 6*(-1 + (-8)/(-6)). Let j be (-3)/z*16/(-6). What is s in -3*s**4 - s - 3*s**3 + 2*s**j + 0*s**3 - 3*s**2 = 0?
-1, 0
Let t(g) be the third derivative of g**5/120 + g**4/48 - g**3/2 + 14*g**2. Factor t(u).
(u - 2)*(u + 3)/2
Let b(c) = 5*c**2 + 4. Let x(l) = 11*l**2 + 8. Let g(q) = 13*b(q) - 6*x(q). Factor g(f).
-(f - 2)*(f + 2)
Let v = -9708/7 + 1388. Let 16/7*s + 2/7*s**3 + v + 10/7*s**2 = 0. What is s?
-2, -1
Suppose -28*c = 16 - 128. Let x = -20 + 41/2. Factor 0 - 1/2*y**2 - 1/2*y + 1/2*y**c + x*y**3.
y*(y - 1)*(y + 1)**2/2
Let w(d) be the second derivative of d**6/20 + 3*d**5/20 - 16*d. Determine g, given that w(g) = 0.
-2, 0
Let x(b) be the second derivative of 0*b**3 + 1/10*b**5 + 0 - b + 0*b**4 + 0*b**2. Factor x(n).
2*n**3
Factor 21*g**3 - 32 + 3*g**4 - 5*g**4 - 66*g**2 - g**3 + 80*g.
-2*(g - 4)**2*(g - 1)**2
Let q be (-2 - (-8)/3)*-18. Let s be q/(-8) - 1/(-2). Factor -v**4 - 8 - s*v + 5 + 4 + 2*v**3.
-(v - 1)**3*(v + 1)
Let b(q) = -q**4 + q**3 + 18*q**2 + 12*q + 2. Let i(h) = h**4 - 2*h**3 - 35*h**2 - 24*h - 5. Let t(p) = 15*b(p) + 6*i(p). Factor t(w).
-3*w*(w - 3)*(w + 2)*(3*w + 2)
Let w(j) be the third derivative of -j**6/280 + 3*j**5/140 - j**4/28 - 21*j**2. Factor w(b).
-3*b*(b - 2)*(b - 1)/7
Let l(n) be the third derivative of -n**7/525 - n**6/150 + n**5/50 - 11*n**2. Factor l(p).
-2*p**2*(p - 1)*(p + 3)/5
Let h(x) = -x**5 - x**4 - x**3 - x**2 - x - 1. Let b(o) = 10*o**5 + 25*o**4 - 20*o**3 + 5*o**2 + 5*o + 5. Let n(s) = -b(s) - 5*h(s). Factor n(g).
-5*g**3*(g - 1)*(g + 5)
Let p(z) = z**2 - 2. Let j be p(2). Factor 2*i**2 + 3*i + 3*i**4 - 1 - 4*i**j - i**5 - i**2 - 2*i**3 + i**2.
-(i - 1)**4*(i + 1)
Let l = 15884005/77778 - 1/8642. Let b = -204 + l. Solve 2/9 + 2/9*v - b*v**2 - 2/9*v**3 = 0.
-1, 1
Let x(q) be the third derivative of q**6/180 - q**5/18 + 2*q**4/9 - 4*q**3/9 + 4*q**2. Factor x(r).
2*(r - 2)**2*(r - 1)/3
Let y(t) be the third derivative of 1/60*t**5 + 0*t + t**2 - 1/240*t**6 - 1/48*t**4 + 0*t**3 + 0. Factor y(l).
-l*(l - 1)**2/2
Let x(j) be the second derivative of -1/3*j**3 + 1/4*j**4 + 1/5*j**5 - 2*j + 0 - 1/2*j**2 - 2/15*j**6. What is b in x(b) = 0?
-1/2, 1
Solve 12*a - 4 - 8 + 2*a**3 - 3*a**4 - 8*a**3 + 7*a**2 + 2*a**2 = 0 for a.
-2, 1
Let z be (126/48)/((-54)/(-8)). Let t = z + 1/9. Factor 13/4*q**2 + 27/4*q**3 + 23/4*q**4 + 7/4*q**5 + t*q + 0.
q*(q + 1)**3*(7*q + 2)/4
Let z(r) = r**5 - 6*r**4 + 12*r**3 - 12*r**2 + r - 2. Let q(l) = -2*l**5 + 12*l**4 - 24*l**3 + 25*l**2 - l + 5. Let n(o) = -2*q(o) - 5*z(o). Factor n(d).
-d*(d - 3)*(d - 1)**3
Let k(v) be the third derivative of 3*v**2 + 0*v + 1/12*v**4 + 0 + 1/30*v**5 - 2/3*v**3. Factor k(h).
2*(h - 1)*(h + 2)
Let n(g) be the third derivative of g**8/1848 + g**7/1155 - g**6/660 - g**5/330 + 7*g**2. Suppose n(l) = 0. Calculate l.
-1, 0, 1
Let l(g) be the first derivative of -2*g**3/9 + 2*g**2 + 18. Factor l(r).
-2*r*(r - 6)/3
Let k(g) = -6*g - 3. Let u be k(-2). Let c = -9 + u. What is w in 4/3*w**2 + 2/3*w + 2/3*w**3 + c = 0?
-1, 0
Factor 28*n**2 - 17*n**2 + 3*n - 14*n**2.
-3*n*(n - 1)
Let x(r) = r**3 + 14*r**2 + 12*r - 10. Let j be x(-13). Let k be 6/3 - 8/6. Let 0*d**2 - 2/3*d + 0 + k*d**j = 0. What is d?
-1, 0, 1
Find b, given that 4/3 + 2/3*b**3 + 8/3*b**2 + 10/3*b = 0.
-2, -1
Suppose 2*m**5 + 8*m**3 - 4*m**3 + m**2 - m**4 - 3*m**3 - 3*m**5 = 0. Calculate m.
-1, 0, 1
Let z(h) be the third derivative of -h**9/181440 - h**8/60480 + h**5/20 - h**2. Let r(d) be the third derivative of z(d). Let r(l) = 0. Calculate l.
-1, 0
Let l be ((-8)/(-6))/(2/33). Let r be l/(-143) - 48/(-143). Factor -2/11*m**2 + 0*m + r.
-2*(m - 1)*(m + 1)/11
Let q(z) = -2*z - 10. Let l be q(-5). Determine r so that -1/2*r - 1/2*r**2 + l = 0.
-1, 0
Let 8*i**3 - 3*i**2 + 4*i**5 + 12*i**4 - 5*i**2 - 12*i + 2 - 6 = 0. Calculate i.
-1, 1
Let i(y) be the second derivative of y**7/7560 - y**6/2160 - y**5/180 - 2*y**4/3 + 4*y. Let z(u) be the third derivative of i(u). Factor z(l).
(l - 2)*(l + 1)/3
Let f = 54 + -32. Suppose -2*h + 0*h = -f. Factor 5*o**4 - 3*o**2 + 9*o**3 + h*o**4 - 4*o**4.
3*o**2*(o + 1)*(4*o - 1)
Let n(c) be the third derivative of c**8/84 - 122*c**7/735 + 57*c**6/70 - 9*c**5/7 - 9*c**4/7 - 5*c**2. Find p, given that n(p) = 0.
-2/7, 0, 3
Factor 6*a**2 + 13/2*a**3 + 3*a**4 + 1/2*a**5 + 0 + 2*a.
a*(a + 1)**2*(a + 2)**2/2
Let q be -4 + -35*2/(-15). Factor -1/3*j + 0 + 0*j**3 + q*j**2 - 2/3*j**4 + 1/3*j**5.
j*(j - 1)**3*(j + 1)/3
Let z(f) = -6*f**4 - 16*f**3. Let v be 4/((1 + 0)*2). Suppose -v = 3*c + 4. Let u(d) = -d**4 - 3*d**3. Let j(t) = c*z(t) + 11*u(t). Find h, given that j(h) = 0.
0, 1
Let v(m) be the third derivative of m**8/168 - m**7/42 + m**6/30 - m**5/60 + 3*m**2. Factor v(b).
b**2*(b - 1)**2*(2*b - 1)
Let u = -8766/7 + 1256. Let -24/7*m - u*m**2 - 2/7*m**4 - 8/7 - 12/7*m**3 = 0. What is m?
-2, -1
Let k(f) = 5*f - 6. Let u be k(6). Factor -15*d**4 + u*d**3 - 5*d - 2*d**2 - d**2 - d.
-3*d*(d - 1)**2*(5*d + 2)
Let h(k) = k**2 + 7*k + 5. Suppose z = 3*z - t + 13, -3*z = t + 22. Let x be h(z). Factor 0*m**2 + 0*m - 1/4*m**x + 0*m**3 + 0 + 1/4*m**4.
-m**4*(m - 1)/4
Let l(w) be the third derivative of -1/168*w**8 + 0*w**3 - 1/420*w**7 + 0*w + 0 + 1/120*w**5 + 6*w**2 + 0*w**4 + 1/60*w**6. Determine f so that l(f) = 0.
-1, -1/4, 0, 1
Suppose 5*x - 4*x - 2 = 0. Let k(c) = -c**3 + 2*c**2 + c. Let u be k(x). Factor y + y**4 + 3*y**5 - 4*y**5 + u*y**2 - 3*y**4.
-y*(y - 1)*(y + 1)**3
Let w(z) be the third derivative of -z**8/112 - 2*z**7/35 - z**6/10 + z**5/10 + 5*z**4/8 + z**3 + 5*z**2. Find f, given that w(f) = 0.
-2, -1, 1
Let z(i) be the first derivative of -i**4/12 - i**3/9 + i**2/6 + i/3 + 13. Factor z(l).
-(l - 1)*(l + 1)**2/3
Suppose -p + 8 - 4 = 0. Find h such that -8*h**4 - 2*h**p + 4*h - 18*h**3 + 13*h**2 - 3*h**2 + 14*h**5 = 0.
-1, -2/7, 0, 1
Let s(c) = -16*c**2 - 15*c + 11. Let i(y) = 33*y**2 + 30*y - 21. Let j(z) = 5*i(z) + 9*s(z). Find m, given that j(m) = 0.
-1, 2/7
Let d(w) be the third derivative of -5*w**8/2688 + 2*w**7/105 - 77*w**6/960 + 43*w**5/240 - 11*w**4/48 + w**3/6 + 2*w**2 + 3*w. Let d(b) = 0. Calculate b.
2/5, 1, 2
Let h(v) be the second derivative of -v**5/60 + v**4/9 - 5*v**3/18 + v**2/3 + 47*v. Find b such that h(b) = 0.
1, 2
Let k(g) be the first derivative of -1/3*g**4 + 5/18*g**6 + 9 + 0*g**2 - 8/15*g**5 + 0*g**3 + 0*g. Suppose k(v) = 0. Calculate v.
-2/5, 0, 2
Let n(d) be the third derivative of d**9/30240 + d**8/10080 - d**5/20 + 3*d**2. Let h(v) be the third derivative of n(v). Let h(o) = 0. Calculate o.
-1, 0
Let x(m) = 39*m**3 - 25*m**2 - 76*m - 16. Let q(d) = 40*d**3 - 25*d**2 - 75*d - 15. Let j(r) = -4*q(r) + 5*x(r). Suppose j(z) = 0. What is z?
-1, -2/7, 2
Let f(w) be the first derivative of -7*w**4/4 + 5*w**3/3 + w**2/2 + w + 1. Let r(h) = 3*h**3 - 2*h**2 - h. Let n(q) = 4*f(q) + 10*r(q). Factor n(l).
2*(l - 1)**2*(l + 2)
Let k(c) be the first derivative of -2*c**5/5 + 3*c**4 - 26*c**3/3 + 12*c**2 - 8*c - 23. Factor k(j).
-2*(j - 2)**2*(j - 1)**2
Let u(k) be the first derivative of -3*k**6/100 + 8*k**5/75 - k**4/12 - 2*k**3/15 - 5*k**2/2 + 2. Let t(x) be the second derivative of u(x). Factor t(h).
-2*(h - 1)**2*(9*h + 2)/5
Suppose 0 = 4*a + 2 - 10. Determine m so that -3*m**2 - 5*m + 4 + m + 4*m**a = 0.
2
Let a(t) be the first derivative of 0*t + 4/3*t**3 + 8/5*t**5 + 0*t**2 - 8 + 5/2*t**4 + 1/3*t**6. Factor a(j).
2*j**2*(j + 1)**2*(j + 2)
What is h in 2*h + 4*h**3 - h**3 - 3*h**2 - 2*h**3 + 0*h**3 = 0?
0, 1, 2
Let a = -1271/5 + 255. Find q such that 2/5 - q - 1/5*q**3 + a*q**2 = 0.
1, 2
Let b(u) be the second derivative of u**7/1680 - u**6/360 + u**5/240 - u**3 - 6*u. Let h(g) be the second derivative of b(g). Solve h(a) = 0 for a.
0, 1
Let w(x) be the third derivative of -x**8/2016 + x**7/360 - x**6/180 - x**5/30 + 2*x**2. Let u(i) be the third derivative of w(i). Facto