 l(h).
2*h*(h + 1)**2*(h + 4)
Let c(t) = 2*t - 42. Let h be c(21). Factor h - 2/5*u**4 + 2/5*u**3 + 0*u**2 + 0*u.
-2*u**3*(u - 1)/5
Determine c so that 3/4 + 7/4*c**4 - 13/4*c + 11/2*c**2 - 9/2*c**3 - 1/4*c**5 = 0.
1, 3
Let a = -423 - -423. Let a - 1/4*k**2 - 3/4*k = 0. What is k?
-3, 0
Let j be 361/120 + -1 + -2. Let f(i) be the third derivative of 1/12*i**3 + 0*i**4 + 0 - j*i**5 + 0*i - 2*i**2. Factor f(s).
-(s - 1)*(s + 1)/2
Factor -3/5*t**2 - 9/5 + 12/5*t.
-3*(t - 3)*(t - 1)/5
Let -529/2 - 1/2*b**2 - 23*b = 0. Calculate b.
-23
Let o(f) be the second derivative of -2*f**6/15 + 3*f**5/20 + f**4/12 - 5*f. Factor o(k).
-k**2*(k - 1)*(4*k + 1)
Let w(t) = -t**3 - 6*t**2 + 4*t - 7. Let j(k) = -2*k**3 - 13*k**2 + 8*k - 15. Let c(f) = -2*j(f) + 5*w(f). Let z be c(-5). Factor 0 + z*p - 2/3*p**2.
-2*p**2/3
Let n(f) be the second derivative of -f**4/12 - 2*f**3 - 18*f**2 + 2*f + 4. Find u, given that n(u) = 0.
-6
Let y(h) = -h**5 - 5*h**4 + 10*h**3 + 2*h**2 - h - 1. Let f(k) = -k**5 - 4*k**4 + 9*k**3 + k**2 - 2*k. Let i(r) = -4*f(r) + 3*y(r). Solve i(u) = 0.
-3, -1, 1
Let 7/5*q - 1/5*q**2 - 6/5 = 0. Calculate q.
1, 6
Let a(u) be the second derivative of -u**4/6 - 5*u**3/3 - 4*u**2 + 8*u. Determine o, given that a(o) = 0.
-4, -1
Let a(f) be the first derivative of 4*f**5/65 + 5*f**4/26 + 4*f**3/39 + 4. Solve a(r) = 0.
-2, -1/2, 0
Let n be ((-2 - -2) + 1)/1. Let f(s) = 2*s**4 + 0 + 0 + 2*s**2 + 4*s + 4*s**3. Let o(v) = -v**4 + v**2 + v. Let c(q) = n*f(q) - 4*o(q). Factor c(x).
2*x**2*(x + 1)*(3*x - 1)
Let v(y) be the second derivative of 0*y**3 + y + y**2 - 1/60*y**4 + 0 + 1/50*y**5. Let j(i) be the first derivative of v(i). Determine m so that j(m) = 0.
0, 1/3
Find z, given that 18*z + 12 + 12 + 12*z - 2*z + 4*z**2 = 0.
-6, -1
Let s(i) be the third derivative of -i**5/60 - i**4/12 + i**3/2 + 17*i**2. Factor s(m).
-(m - 1)*(m + 3)
Factor -9/5*g + 9/5*g**2 + 3/5 - 3/5*g**3.
-3*(g - 1)**3/5
Let i be 4 - (-2 + 6 + -2). What is r in 12/7*r**5 + 3/7*r**3 + 0*r + 15/7*r**4 + 0 + 0*r**i = 0?
-1, -1/4, 0
Factor -1/3*p**3 + 0 - p + 5/3*p**2 - 1/3*p**4.
-p*(p - 1)**2*(p + 3)/3
Find v such that -14/5*v**2 + 8/5 - 16/5*v + 2*v**3 = 0.
-1, 2/5, 2
Let d(p) be the third derivative of 9*p**7/560 - p**6/40 + p**5/60 - p**4/12 - p**2. Let n(i) be the second derivative of d(i). Factor n(b).
(9*b - 2)**2/2
Let p(c) be the third derivative of -c**7/1440 - c**6/320 - c**5/240 + c**4/12 + 4*c**2. Let i(k) be the second derivative of p(k). Factor i(n).
-(n + 1)*(7*n + 2)/4
Let b(v) be the first derivative of 0*v**4 + 1/2*v**2 + 0*v + 3 + 1/2*v**3 - 1/20*v**5. Let m(a) be the second derivative of b(a). Factor m(g).
-3*(g - 1)*(g + 1)
Suppose 0 = -4*m + 8, -2*z - 7 = z - 2*m. Let h be (-3)/6*(-5 - z). Factor -3*r**2 - 2*r**3 - 3*r**h - r**2 - 10*r - 4 - r**2.
-2*(r + 1)**2*(r + 2)
Let s(h) = h**2 + h. Let n(k) = 12*k**2 + 16*k + 4. Let v(p) = n(p) - 16*s(p). Factor v(w).
-4*(w - 1)*(w + 1)
Let u = -1 + 3. Factor -4*q**2 - 14*q + 1 + 3*q**u + 3 - 7*q**2.
-2*(q + 2)*(4*q - 1)
Factor 2/13*t**2 + 16/13*t + 32/13.
2*(t + 4)**2/13
Let p(v) be the second derivative of -v**8/504 - 2*v**7/315 + v**6/45 + 4*v**5/45 + 4*v**2 + 4*v. Let o(f) be the first derivative of p(f). Factor o(l).
-2*l**2*(l - 2)*(l + 2)**2/3
Let r(x) be the third derivative of -x**7/420 + 11*x**6/480 - x**5/15 + x**4/96 + x**3/4 - 65*x**2. Determine q, given that r(q) = 0.
-1/2, 1, 2, 3
Suppose -4*m = -13 + 1. Find u such that 0*u**2 - 1/2*u**m + 0 + 1/2*u = 0.
-1, 0, 1
Let d(z) be the first derivative of z**8/560 - z**6/200 - 2*z**2 + 1. Let q(o) be the second derivative of d(o). Factor q(r).
3*r**3*(r - 1)*(r + 1)/5
Let w(j) = j + 11. Let y be w(-8). Suppose 3*n - 6*n + y - 3*n**2 - 3*n**2 = 0. Calculate n.
-1, 1/2
Suppose 6*g + 11*g**2 - 6*g**3 + 0*g - 2*g**2 + 0*g**3 = 0. Calculate g.
-1/2, 0, 2
Determine k so that 9/4*k**3 - 1/2*k**2 + 0 - k**5 + 0*k - 3/4*k**4 = 0.
-2, 0, 1/4, 1
Let u = 16/9 + -23/18. Solve 1/4*j**2 + 0*j + 1/4*j**4 + 0 + u*j**3 = 0 for j.
-1, 0
Let m(y) = -5*y**3 - 6*y**2 + 11*y. Let u(x) = 10*x**3 + 13*x**2 - 23*x. Let h(g) = 13*m(g) + 6*u(g). Suppose h(p) = 0. Calculate p.
-1, 0, 1
Let n(g) be the second derivative of -g**5/40 + g**4/4 - g**3 + 2*g**2 + 57*g. Let n(u) = 0. What is u?
2
Let y(k) be the second derivative of -8*k**5/15 - 100*k**4/9 + 103*k**3/9 - 13*k**2/3 - 29*k. Factor y(d).
-2*(d + 13)*(4*d - 1)**2/3
Solve -7/3*v**3 + 16/3*v - 4/3 - 5/3*v**2 = 0.
-2, 2/7, 1
Let z = 2 - 2. Let b(p) be the third derivative of z*p - 3*p**2 + 1/270*p**5 + 0*p**4 - 1/1512*p**8 + 0 + 1/540*p**6 - 1/945*p**7 + 0*p**3. Solve b(h) = 0.
-1, 0, 1
Let q(f) be the second derivative of -f**9/98280 + f**8/21840 - f**7/16380 - f**4/3 + 5*f. Let t(n) be the third derivative of q(n). Factor t(h).
-2*h**2*(h - 1)**2/13
Let c be ((-6)/(-27))/(2/(6 + 0)). Let v(l) be the second derivative of 0 - 4*l + 1/2*l**2 + 16/5*l**5 - c*l**3 - 4/3*l**4. Factor v(a).
(4*a - 1)**2*(4*a + 1)
Suppose 2/23 + 4/23*g**3 - 2/23*g**5 - 4/23*g**2 + 2/23*g**4 - 2/23*g = 0. Calculate g.
-1, 1
Suppose v - 3*t = -10, 6*v = v - 5*t + 30. Find q such that -2/3*q**4 - 2/3*q + 2/9 + 2/9*q**5 + 4/9*q**3 + 4/9*q**v = 0.
-1, 1
Suppose 0 = -2*q + 7*q + 70. Let y = q - -14. Factor -1/3*t + 0*t**4 - 1/3*t**5 + 0 + 2/3*t**3 + y*t**2.
-t*(t - 1)**2*(t + 1)**2/3
Suppose -209 = -9*f - 173. Factor -6/5*v**2 - 1/5 - 4/5*v - 4/5*v**3 - 1/5*v**f.
-(v + 1)**4/5
Let h be 3/(-6)*(-3 - -1). Factor 7 - c**2 - h - 7 + 2*c.
-(c - 1)**2
Let i = 5995/12 - 499. Let o(w) be the third derivative of 0 + i*w**4 + 2/3*w**3 - 2*w**2 + 0*w + 1/6*w**5. Suppose o(m) = 0. What is m?
-1, -2/5
Let c(q) be the first derivative of 0*q**3 + 0*q**2 - 1/6*q**4 - 3 - 3*q. Let j(a) be the first derivative of c(a). Factor j(k).
-2*k**2
Let s(o) be the third derivative of -o**8/168 + o**7/63 + o**6/18 - 2*o**5/9 + 2*o**4/9 - 6*o**2. What is d in s(d) = 0?
-2, 0, 2/3, 1, 2
Suppose t**4 + 6*t**3 + 441*t**2 - 10*t - 25 - 417*t**2 + 4*t**3 = 0. What is t?
-5, -1, 1
Determine z, given that 0 + 16/5*z**2 + 16/5*z**4 + 24/5*z**3 + 4/5*z**5 + 4/5*z = 0.
-1, 0
Let y be (0 - (0 + -2)) + 0. What is w in 3*w**2 + w**4 + 0*w**4 - 5*w**2 - 1 + y = 0?
-1, 1
Factor 2/5 + z**3 + 1/5*z**4 + 9/5*z**2 + 7/5*z.
(z + 1)**3*(z + 2)/5
Let n(b) = b**2 - 7*b + 2. Let r be n(8). Let h be 4/r*10/12. Factor -h*s + 0 - 1/3*s**2.
-s*(s + 1)/3
Let j be 6*9/315*7. Factor -j*h**2 + 0 - 3/5*h**3 + 9/5*h.
-3*h*(h - 1)*(h + 3)/5
Let g be (84/(-27))/((-40)/36). Factor -18/5*j**2 - g*j + 4/5.
-2*(j + 1)*(9*j - 2)/5
Suppose -9 = -k - 2*p + 3, -p + 15 = 5*k. Let f(l) = -l**2 + 6*l - 6. Let m be f(4). Factor -4*r + 2 - r**m + 5*r**k - 2*r**2.
2*(r - 1)**2
Let s(m) be the second derivative of -m**4/4 - 3*m**3/2 - 3*m**2 + 23*m. Find n such that s(n) = 0.
-2, -1
Let d(p) be the second derivative of -7*p**6/50 - 69*p**5/100 - 27*p**4/20 - 13*p**3/10 - 3*p**2/5 + 12*p. Let d(y) = 0. What is y?
-1, -2/7
Let z be (0 + 0)*(-7)/(-14). Factor n**2 - 4*n + 8 + 8 + z*n**2 + 12*n.
(n + 4)**2
Let o(k) = -k**3 - k**2 - 9*k. Let u(p) = 6*p**3 + 6*p**2 + 44*p. Let b(r) = -16*o(r) - 3*u(r). Find i such that b(i) = 0.
-3, 0, 2
Let q(k) be the third derivative of -k**6/24 + k**5/60 - 5*k**4/24 + k**3/2 + 7*k**2. Let i(f) = -f**3 - f**2 - f + 1. Let p(g) = -6*i(g) + 2*q(g). Factor p(w).
-4*w*(w - 1)**2
Let k(h) be the third derivative of 7*h**5/150 + h**4/30 - 41*h**2. Factor k(x).
2*x*(7*x + 2)/5
Let n = -6 + 8. Suppose 0 = -u + n*u. Let u*a - a**4 + 2*a - 2*a = 0. Calculate a.
0
Let g(q) be the first derivative of -7*q**4/4 - 4*q**3 - 3*q**2/2 + 2*q + 5. Suppose g(s) = 0. Calculate s.
-1, 2/7
Let q(t) be the second derivative of 250*t**6/3 - 200*t**5 + 200*t**4 - 320*t**3/3 + 32*t**2 - 10*t + 1. Factor q(s).
4*(5*s - 2)**4
Suppose 3*j + 36 = 4*f, 0*f + 2*f - 38 = 4*j. Let r(z) = -z**3 - 9*z**2 - 8*z + 2. Let u be r(j). Factor -3*b**2 - 2*b**4 - 6*b**3 + 0*b**2 + 4*b**2 - 5*b**u.
-2*b**2*(b + 1)*(b + 2)
Let t(a) = -4*a**3 - 3*a**2 - 7*a + 9. Let g(f) = -5*f**3 - 4*f**2 - 7*f + 10. Let v(r) = 5*g(r) - 6*t(r). Find p, given that v(p) = 0.
-4, 1
Let -x**3 - 147*x**2 + 0*x**3 + 149*x**2 = 0. What is x?
0, 2
Let y(q) be the third derivative of -q**5/30 - 2*q**2. Suppose y(a) = 0. Calculate a.
0
Let f(p) be the first derivative of p**4/38 - 20*p