 such that 2/3*i**2 + 0 + 2*i**3 - l*i = 0.
-1, 0, 2/3
Let q(l) be the third derivative of 0 - 1/210*l**7 + 1/60*l**5 + 0*l**4 + 0*l**3 + 0*l + 0*l**6 - 4*l**2. Determine h, given that q(h) = 0.
-1, 0, 1
Let g(q) = -4*q**2 - q - 3. Let n(z) = 3*z**2 + 2*z + 4. Let i(k) = 4*g(k) + 5*n(k). Let s be i(7). Factor -5 - y**2 + 3 + 2*y + s.
-(y - 1)**2
Let p be 4/2 - (16 - 14). Solve 0*k**2 + 0 + p*k + 2/9*k**4 - 2/9*k**3 = 0 for k.
0, 1
Let j(t) be the third derivative of -t**6/900 + t**5/300 + t**4/30 - 7*t**3/6 + 2*t**2. Let o(c) be the first derivative of j(c). Factor o(l).
-2*(l - 2)*(l + 1)/5
Let u(c) be the third derivative of c**8/1008 - 2*c**7/315 - 11*c**6/360 - c**5/30 + 3*c**2 + 6*c. Suppose u(s) = 0. What is s?
-1, 0, 6
Let a(s) be the second derivative of s**8/240 + s**7/168 - s**6/40 - s**5/24 + s**4/12 + 5*s**3/6 + 3*s. Let f(m) be the second derivative of a(m). Factor f(h).
(h - 1)*(h + 1)**2*(7*h - 2)
Factor 1/4*r + 3/4*r**3 - 3/4*r**2 + 0 - 1/4*r**4.
-r*(r - 1)**3/4
Let h(g) be the third derivative of g**9/45360 - g**8/10080 + g**7/7560 - 5*g**4/24 + g**2. Let s(z) be the second derivative of h(z). Factor s(o).
o**2*(o - 1)**2/3
Let c(b) be the third derivative of -b**5/240 + b**4/48 - 8*b**2. Suppose c(g) = 0. Calculate g.
0, 2
Let l(n) be the third derivative of n**8/840 - 4*n**7/525 + n**6/60 - n**5/75 + n**2 + n. Factor l(f).
2*f**2*(f - 2)*(f - 1)**2/5
Let s(x) be the first derivative of 5*x**6/27 - 16*x**5/45 + x**4/18 + 4*x**3/27 + 2. Let s(g) = 0. What is g?
-2/5, 0, 1
Let r(k) be the second derivative of 0*k**2 - 1/3*k**4 + 4/3*k**3 + 0 + 5*k. Let r(d) = 0. Calculate d.
0, 2
Let z = 881/45660 - 2/761. Let m(r) be the second derivative of z*r**6 + 0 - 1/6*r**3 + r + 0*r**4 + 1/20*r**5 - 1/4*r**2. Factor m(n).
(n - 1)*(n + 1)**3/2
Let k(z) = z - 20. Let i be k(20). Factor 0*f - 1/3*f**5 + 2/3*f**4 + 0*f**2 + 0 + i*f**3.
-f**4*(f - 2)/3
Let v = 53 + -158/3. Factor 0 + 1/3*m**3 + v*m - 2/3*m**2.
m*(m - 1)**2/3
Let y = 232/105 + -16/15. Factor -2*x**2 + y + 6/7*x.
-2*(x - 1)*(7*x + 4)/7
Solve 2*q**3 + 5/2*q**4 + 2/3*q**5 + 0 - 2/3*q**2 + 0*q = 0 for q.
-2, 0, 1/4
Let c(s) = 7*s**3 + 5*s**2 - 10*s - 2. Let r(m) = -50*m**3 - 35*m**2 + 70*m + 15. Let a(x) = 15*c(x) + 2*r(x). Let a(w) = 0. Calculate w.
-2, 0, 1
Let w(a) be the second derivative of a**5/20 - a**4/8 + a**2/2 - 3*a. Let v(x) be the first derivative of w(x). Factor v(h).
3*h*(h - 1)
Let c(s) be the second derivative of 3*s - 1/3*s**4 - 1/42*s**7 - 11/30*s**5 + 1/18*s**3 + 1/3*s**2 - 7/45*s**6 + 0. Suppose c(u) = 0. Calculate u.
-2, -1, 1/3
Let n(x) be the second derivative of x**7/189 + 2*x**6/135 + x**5/90 - 9*x. Solve n(i) = 0 for i.
-1, 0
Let m(k) = -k**2 - 17*k - 18. Let p be m(-16). Let x be p/(-8)*(-5 + 9). Factor 1/2*h**3 - 1/2*h - h**2 + x.
(h - 2)*(h - 1)*(h + 1)/2
Find u such that -9*u**3 + 17*u**2 + 12*u**5 - 15*u**4 + 0*u**3 - 3*u - 2*u**2 = 0.
-1, 0, 1/4, 1
Let y = -5 - -9. Factor 8*n + y*n**2 + n**2 - 2*n - 2*n**2.
3*n*(n + 2)
Let a(q) = q**2 + q. Let d(b) = -7*b**2 - 11*b + 2. Let r(s) = 6*a(s) + d(s). Let n be r(-5). Factor 2*m**2 - 4*m**4 + 2*m**2 - 4*m**5 + n*m + 2*m**5.
-2*m*(m - 1)*(m + 1)**3
Let l be (-25)/60*(-79 - 1). Let t = -33 + l. Factor -2/3*i + i**2 - t.
(i - 1)*(3*i + 1)/3
Let u(l) be the first derivative of 1/12*l**3 + 1/8*l**2 + 0*l - 3. Factor u(c).
c*(c + 1)/4
Let n be (10/4 + -1)/((-57)/(-152)). Factor 0 - 25*c**3 - 10*c**2 + 4*c + 125/2*c**n.
c*(5*c - 2)**2*(5*c + 2)/2
Let v(b) be the first derivative of b**7/84 - 3*b**5/40 - b**4/12 + b - 4. Let j(h) be the first derivative of v(h). Factor j(n).
n**2*(n - 2)*(n + 1)**2/2
Let t(c) = c**2 - 7*c - 7. Let r be t(6). Let a(v) = 5*v**2 + 7*v - 4. Let m(f) = 11*f**2 + 15*f - 9. Let j(i) = r*a(i) + 6*m(i). Factor j(h).
(h - 2)*(h + 1)
Let c(u) = u**3 - u**2 + u + 1. Let g(m) = 5*m**3 - 5*m**2 + 2*m + 2. Let r(q) = 2*c(q) - g(q). Let r(s) = 0. Calculate s.
0, 1
Let f(x) be the first derivative of -x**6/36 + 7*x**5/60 - x**4/6 + 2*x**3/3 - 1. Let c(t) be the third derivative of f(t). Solve c(p) = 0.
2/5, 1
Let h(u) be the second derivative of u + 0 + 99/50*u**5 - 1/15*u**3 + 8/5*u**4 - 2/5*u**2. Determine r, given that h(r) = 0.
-1/3, 2/11
Let n(v) = 5*v**4 - 9*v**3 + 27*v**2 - 13*v. Let k(h) = 14*h**4 - 28*h**3 + 80*h**2 - 40*h. Let l(z) = 3*k(z) - 8*n(z). Find p such that l(p) = 0.
0, 2
Let o(b) = -b**2 - 5*b. Let x be o(-5). Let m(y) be the second derivative of 0*y**2 + 0 - 1/10*y**5 - 1/12*y**4 - 1/30*y**6 + x*y**3 + 2*y. Factor m(q).
-q**2*(q + 1)**2
Let x = 7 + -29. Let g(a) = 6*a**5 + 21*a**4 + a**2 - 6*a. Let o(p) = p**5 + 4*p**4 - p. Let q(s) = x*o(s) + 4*g(s). Determine r so that q(r) = 0.
-1, 0, 1
Let r(f) = -f**2 + 9*f + 14. Let u be r(10). Suppose -27*y - 33*y**3 - 3*y**u - 45*y**2 - 6 + 0 - 6*y**4 = 0. Calculate y.
-1, -2/3
Let x(r) be the third derivative of r**6/300 + r**5/50 + r**4/20 + r**3/15 + 13*r**2. Suppose x(o) = 0. What is o?
-1
Let b(l) be the third derivative of -1/48*l**4 - 2*l**2 + 0*l - 1/240*l**5 + 0*l**3 + 0. Let b(v) = 0. Calculate v.
-2, 0
Let s(p) be the third derivative of 0*p + 0 + 0*p**3 + 0*p**4 - 1/390*p**5 - 1/1365*p**7 + 6*p**2 - 1/390*p**6. Factor s(x).
-2*x**2*(x + 1)**2/13
Let m(b) be the first derivative of -3*b**5/35 - 36*b**4/7 - 864*b**3/7 - 10368*b**2/7 - 62208*b/7 - 14. Factor m(p).
-3*(p + 12)**4/7
Suppose -3*b = -5*b, 4*b = 4*f - 12. What is t in -1/2*t**f - 4*t - 2 - 5/2*t**2 = 0?
-2, -1
Let b = -101/2370 + 6/79. Let n(u) be the second derivative of -b*u**6 + 0*u**2 + 1/20*u**5 + 1/12*u**4 - 2*u + 0 - 1/6*u**3. Factor n(s).
-s*(s - 1)**2*(s + 1)
Let z(d) be the first derivative of 3*d**4/14 - d**3/7 - 15*d**2/14 - 6*d/7 - 4. Factor z(l).
3*(l - 2)*(l + 1)*(2*l + 1)/7
Let z = 26 + -77/3. Suppose 1/3*k + z - 1/3*k**2 - 1/3*k**3 = 0. What is k?
-1, 1
Let a be (-600)/(-1610) - (-2)/(-23). Let 6/7*j - 2/7 - 6/7*j**2 + a*j**3 = 0. Calculate j.
1
Let c = -22 - -25. Factor 2/3*h**2 + 2/3*h**4 + 0 + 0*h - 4/3*h**c.
2*h**2*(h - 1)**2/3
Let j = 3 - 1. Determine y, given that j*y**3 + 0*y - y**3 - y = 0.
-1, 0, 1
Let v(n) = n + 9. Let k be v(-7). Determine m so that m**3 - 4*m**3 - 6*m + 6*m**3 - 3*m**k = 0.
-1, 0, 2
Let k(p) = 13*p**4 + 5*p**3 - 4*p**2 - 5*p. Let r be (-15)/(-10)*16/(-6). Let v(g) = 3*g**4 + g**3 - g**2 - g. Let h(w) = r*k(w) + 18*v(w). Factor h(d).
2*d*(d - 1)**2*(d + 1)
Let t(l) = 53*l**3 - 67*l**2 + 31*l - 1. Let i(u) = 26*u**3 - 34*u**2 + 16*u - 1. Let p(d) = -5*i(d) + 2*t(d). Solve p(r) = 0 for r.
1/2
Suppose t - 4 + 2 = 0. Let n be (-6)/(-3) + (4 - t). Solve -4*g**2 - 2*g**5 - 3 + 6*g**4 - n*g**3 + 0*g**2 + 0 + 6*g + 1 = 0 for g.
-1, 1
Solve 0*j - 4/7*j**4 + 0 + 4/7*j**2 + 0*j**3 = 0 for j.
-1, 0, 1
Let o(c) be the first derivative of -2*c**3/15 + 2*c/5 + 6. Suppose o(u) = 0. What is u?
-1, 1
Factor 1/4*l**3 + 0 - 1/4*l + 0*l**2.
l*(l - 1)*(l + 1)/4
Suppose 0 = 3*g + 3*f - 6*f - 3, -5 = -5*f. Factor 4*y**3 + 19*y**2 + g*y**4 - 21*y**2 + 3*y - 7*y.
2*y*(y - 1)*(y + 1)*(y + 2)
Let a(c) be the second derivative of 0*c**2 + 2/33*c**3 - 2*c + 3/22*c**4 + 0. Factor a(l).
2*l*(9*l + 2)/11
Let g(h) be the third derivative of -h**6/780 + h**5/195 + 7*h**2. Factor g(q).
-2*q**2*(q - 2)/13
Let x(c) = -c**3 + 3*c**2 - c + 1. Let i be x(2). Let p = i - 1. Factor 3 + 4*k**2 - 1 + p*k**4 - 8*k**2.
2*(k - 1)**2*(k + 1)**2
Suppose -18*j - 35 = -71. Suppose 0*l + 4/5*l**j - 2/5*l**4 + 0 + 2/5*l**3 = 0. What is l?
-1, 0, 2
Let p(w) be the second derivative of -w**4/60 + w**3/5 - 9*w**2/10 + 18*w. Let p(i) = 0. Calculate i.
3
Let u(b) = b**3 + b. Let o(x) be the third derivative of 2*x**6/3 - 2*x**5 + 53*x**4/24 + 3*x**2. Let t(h) = o(h) - 5*u(h). Factor t(z).
3*z*(5*z - 4)**2
Let u(j) be the first derivative of 2*j**5/25 - j**4/10 - 2*j**3/15 + j**2/5 - 8. Factor u(p).
2*p*(p - 1)**2*(p + 1)/5
Let s(v) be the third derivative of v**7/280 - v**6/160 - v**5/80 + v**4/32 + 4*v**2. Factor s(r).
3*r*(r - 1)**2*(r + 1)/4
Let o(l) = 4*l - 2. Suppose 0 = -4*c + 3*i - 2*i + 2, -4*c = i - 6. Let j be o(c). Factor 1/3*n**j + 0 - 1/3*n**4 + 1/3*n - 1/3*n**3.
-n*(n - 1)*(n + 1)**2/3
Let o(x) = -x**2 + 10*x + 14. Let n be o(11). Solve -2/7*c**4 + 0*c + 0 - 2/7*c**n + 4/7*c**2 = 0.
-2, 0, 1
Solve 8*j + 0*j - 4*j**3 + 8*j**2 - 12*j = 0 for j.
0, 1
Let u = -