hird derivative of p**7/315 - p**6/180 - p**5/30 + p**4/36 + 2*p**3/9 - 2*p**2. Factor r(a).
2*(a - 2)*(a - 1)*(a + 1)**2/3
Let r be (-5)/(-4) + -1 - (-3)/(-12). Factor 2/5*h**4 - 2/5*h**2 + 0*h + r*h**3 + 0.
2*h**2*(h - 1)*(h + 1)/5
Solve -28*j**2 + 8*j**5 + 10*j**2 + 15 - 10*j**3 - 12*j**2 + 15*j**4 + 5*j - 3*j**5 = 0 for j.
-3, -1, 1
Let u be ((-2)/5)/((-5)/25). Suppose u + 2 = 2*i. Factor -2/7*f**i - 8/7 + 8/7*f.
-2*(f - 2)**2/7
Let l(c) = c**2 - 5*c - 4. Let m be l(-1). Suppose 0 + 1/5*h**3 - 1/5*h**5 + 1/5*h**m - 1/5*h**4 + 0*h = 0. Calculate h.
-1, 0, 1
Suppose 7*b + 4 = 4. Let d(a) be the third derivative of 1/3*a**3 + 2*a**2 + 0*a**4 - 1/30*a**5 + b*a + 0. Determine z so that d(z) = 0.
-1, 1
Suppose -5*w - 2*d + 21 = 0, 0*w + 24 = 5*w + 3*d. Determine f, given that 1 - 4*f**2 - 2*f**2 + 2*f**2 + w*f**2 = 0.
-1, 1
Let d(p) be the third derivative of p**7/735 + p**6/840 - p**5/140 - p**4/168 + p**3/42 + 13*p**2. Factor d(v).
(v - 1)*(v + 1)**2*(2*v - 1)/7
Let o(u) be the first derivative of -u**5/80 + u**4/24 - u**3/24 + 2*u + 3. Let d(j) be the first derivative of o(j). Factor d(n).
-n*(n - 1)**2/4
Let u(n) = 9*n + 7. Let f be u(1). Factor 0 - f*h**4 + 44/3*h**3 - 16/3*h**2 + 2/3*h + 6*h**5.
2*h*(h - 1)**2*(3*h - 1)**2/3
Let m be 84/15 + (-2)/(-5). Let j be (-5)/3 + 12/m. Factor j*k**2 + 2/3 - k.
(k - 2)*(k - 1)/3
Let p(h) = -6 - h - 3*h**3 + 2*h + 8*h**3. Let d(j) = -47 + 2*j + 40 + j**2 - j**2 + 6*j**3. Let z(s) = 4*d(s) - 5*p(s). Factor z(b).
-(b - 2)*(b + 1)**2
Let w(t) = 20*t**4 - 5*t**3 + 35*t**2 + 12*t - 14. Let o(q) = -4*q - 12*q**2 + 2*q**3 - 7*q**4 + 6 + 2 - 3. Let v(a) = -17*o(a) - 6*w(a). Factor v(l).
-(l + 1)**4
Let p = 342 + -340. Factor -1/6 + 1/6*c**p + 0*c.
(c - 1)*(c + 1)/6
Let r(k) be the first derivative of -k**4/16 + 3*k**2/8 - k/2 - 10. Factor r(s).
-(s - 1)**2*(s + 2)/4
Suppose 0*x + 24 = 4*x + 4*g, -6 = -3*g. Let n(f) be the first derivative of -1/16*f**x + 1/12*f**3 + 1/8*f**2 + 0*f + 1 - 1/20*f**5. What is q in n(q) = 0?
-1, 0, 1
Let z(t) be the third derivative of t**5/60 - t**4/3 - 3*t**3 - 5*t**2. Let d be z(10). Factor 0 - 2/3*r**3 + 2/3*r + 0*r**d.
-2*r*(r - 1)*(r + 1)/3
Let z = -21 - -23. Let l(d) be the third derivative of -1/60*d**6 + 0*d**5 + 0 + z*d**2 + 1/12*d**4 + 0*d + 0*d**3. Suppose l(j) = 0. Calculate j.
-1, 0, 1
Let v(c) = -5*c**2 - 15*c + 1. Let r(b) = 9*b + 24*b**2 - b - 21*b**2. Let k(g) = 7*r(g) + 4*v(g). Determine n so that k(n) = 0.
2
Let y be 5 + -1 - 1 - -1. Let k = 6 - y. Factor -2*h**5 - 2*h**2 - 2*h**3 - 4*h**4 + 2*h**k.
-2*h**3*(h + 1)**2
Let a(v) be the third derivative of 0 - 1/120*v**6 + 0*v**3 + 0*v**4 - 1/60*v**5 + 0*v + 4*v**2. Solve a(x) = 0.
-1, 0
Factor -1/4*a**2 + 1/2*a - 1/4.
-(a - 1)**2/4
Let z = 281/5 + -56. Let l(t) be the second derivative of -z*t**2 + t + 0 + 1/30*t**4 + 7/100*t**5 - 7/30*t**3. Factor l(u).
(u - 1)*(u + 1)*(7*u + 2)/5
Let t = 291/2 + -144. Suppose -7/6*m**2 - 1/3*m + 0 + t*m**3 = 0. What is m?
-2/9, 0, 1
Let s be (-1)/4 - (-4 - 118/(-40)). Determine g, given that -2*g**4 + 6/5*g - 6/5*g**3 - s + 14/5*g**2 = 0.
-1, 2/5, 1
Let w be 6/15*(1 - 6). Let c be w*3/6*-1. Factor -2 - i**2 + 2*i**2 + c.
(i - 1)*(i + 1)
Suppose 0 = -6*l + 3*l + 3*h, 4*l - 14 = -3*h. Factor t + 4*t**2 - 2*t**2 - t**l.
t*(t + 1)
Let n be 3 + 1/(-3)*0. Let j(q) = -9*q**2 - 9*q + 6. Let c(x) = -x**2 - 1. Let d(f) = n*c(f) + j(f). Factor d(i).
-3*(i + 1)*(4*i - 1)
Let o(r) = 3*r**3 - 2*r**2 + 1. Let s(k) = -k**2 - 1. Let p(v) = -o(v) - s(v). Factor p(a).
-3*a**2*(a - 1)
Factor -4*g**4 - 17*g**3 - 4*g + 4*g**2 + 10*g**3 + 3*g**3 + 8*g**3.
-4*g*(g - 1)**2*(g + 1)
Let s be -3 - (-1)/(4/16). Let u be 14/3 - (5 - s). Factor u*b + 0 + 1/3*b**4 + 0*b**3 - b**2.
b*(b - 1)**2*(b + 2)/3
Suppose 0*g = 4*g - 1572. Let b = g + -1954/5. Factor 2/5 - b*x + 9/5*x**2.
(x - 1)*(9*x - 2)/5
Let y = 1895/3 - 631. Find o such that y*o + 0*o**2 - 1/3*o**4 + 1/3 - 2/3*o**3 = 0.
-1, 1
Let x be -2 - (-18)/8 - (-13)/52. Factor -1/4*n**2 - x*n - 1/4.
-(n + 1)**2/4
Let t(x) be the second derivative of 2*x**6/15 + x**5/5 - 2*x**4/3 + 3*x. Factor t(c).
4*c**2*(c - 1)*(c + 2)
Let c(o) = -12*o**4 - 2*o**3 + 38*o**2 + 62*o + 13. Let y(i) = -11*i**4 - i**3 + 39*i**2 + 61*i + 14. Let x(z) = -6*c(z) + 7*y(z). Solve x(s) = 0.
-1, 4
Let f(v) be the second derivative of v**5/70 + v**4/21 + v**3/21 + 9*v. Factor f(i).
2*i*(i + 1)**2/7
Let x = 109/18 + -6. Let v(h) be the second derivative of 0*h**2 + 0*h**4 + h + 0 - x*h**3 + 1/60*h**5. What is f in v(f) = 0?
-1, 0, 1
Let -8*u**4 - 12*u**3 - 2*u - 2*u**5 - 8*u**2 + 111 - 111 = 0. What is u?
-1, 0
Let a(i) = 7*i**2 + 8*i + 9. Let v(g) = 6*g**2 + 7*g + 8. Let j(p) = -5*a(p) + 6*v(p). Let q be j(-2). Factor u**4 - 4*u**4 - 6*u**q + 8*u + u**4.
-2*u*(u - 1)*(u + 2)**2
Let x = 71/2 - 485/14. Suppose 2/7*b**2 + 4/7 - x*b = 0. Calculate b.
1, 2
Factor 6*m**3 + 3 - 71*m**2 + 71*m**2 - 6*m - 3*m**4.
-3*(m - 1)**3*(m + 1)
Suppose -u + 3*z = -6 - 9, 2*z - 4 = -4*u. Factor 3*a**5 - a**5 - a**5 + 3*a**u - 2*a**4 + a**2 + 5*a**4.
a**2*(a + 1)**3
Let g(k) be the first derivative of -2*k**4/9 + 16*k**3/27 + 11*k**2/9 + 2*k/3 + 14. Find s such that g(s) = 0.
-1/2, 3
Let n(v) be the first derivative of -v**7/1260 + v**6/270 + v**5/60 - 2*v**3/3 + 4. Let a(z) be the third derivative of n(z). Factor a(x).
-2*x*(x - 3)*(x + 1)/3
Let h(r) be the third derivative of 0 + 0*r - 3/2*r**3 - 1/20*r**5 + 8*r**2 - 1/2*r**4. Solve h(c) = 0 for c.
-3, -1
Let p be ((-9)/(-27))/(1 - 20/24). Solve 1/5*n**p + 0 + 1/5*n = 0 for n.
-1, 0
Factor 3 + 3/4*w**2 + 15/4*w.
3*(w + 1)*(w + 4)/4
Let n(d) be the second derivative of d**7/10080 - d**6/720 + d**5/160 - d**4/3 - d. Let p(b) be the third derivative of n(b). Factor p(c).
(c - 3)*(c - 1)/4
Let p be (-9)/(-12)*(-80)/(-48). Factor 3/4*l - p*l**2 + 1/4*l**3 + 9/4.
(l - 3)**2*(l + 1)/4
Let j(w) = -w**2 - 5*w - 4. Let p be j(-4). Let n be 6 - (-3 + p)*-1. Factor 6 - n*i**2 + i + i + i.
-3*(i - 2)*(i + 1)
Let l be 230/(-24)*22/(-165). Let j(x) be the second derivative of -11/5*x**5 + 4/3*x**2 + 4/3*x**3 - l*x**4 - 7/9*x**6 + 3*x + 0. Find f such that j(f) = 0.
-1, -2/7, 2/5
Let r(n) be the first derivative of -4 - 1/14*n**4 + 0*n - 2/21*n**3 + 0*n**2. Factor r(a).
-2*a**2*(a + 1)/7
Suppose 42 - 9 = 11*l. Suppose 39/2*r**4 - 3*r + 45/4*r**5 - 15*r**2 - 51/4*r**l + 0 = 0. What is r?
-2, -2/5, -1/3, 0, 1
Let z be 23/65 + (-9)/((-351)/(-6)). Let n(y) be the second derivative of -1/2*y**4 + 0*y**2 + 0 - 2/3*y**3 + 4*y + 1/5*y**5 + z*y**6. Factor n(v).
2*v*(v - 1)*(v + 1)*(3*v + 2)
Let l(h) = h**3 - 6*h**2 - 7*h + 2. Suppose 0 = -n - 3*n + 28. Let k be l(n). Factor -5 - 1 + 2*y**k + 4.
2*(y - 1)*(y + 1)
Let l be 11/(-44) - 89/(-4). Let d = 160/7 - l. Determine g, given that d*g - 2/7 - 8/7*g**4 + 10/7*g**2 - 6/7*g**3 = 0.
-1, 1/4, 1
Let q(y) be the third derivative of -1/60*y**5 + 0*y + 1/108*y**6 + 0 + 1/3*y**3 - 1/18*y**4 - 2*y**2. Let x(r) be the first derivative of q(r). Factor x(d).
2*(d - 1)*(5*d + 2)/3
Let q(p) = -5*p**2 - 12*p - 7. Let b(m) = -5*m**2 - 11*m - 6. Let y(g) = 7*b(g) - 6*q(g). Determine r, given that y(r) = 0.
-1, 0
Let u be ((-2)/(-66))/((-10)/(-3)). Let v(p) be the second derivative of -u*p**5 - 1/33*p**3 + 1/33*p**4 + 0 - 4*p + 0*p**2. Let v(i) = 0. What is i?
0, 1
Let u(c) = -2*c**3 - 3*c**2 - 2*c + 2. Let g be u(-2). Let l = g + -7. Factor -2*r**5 + 0*r**5 + 4*r**5 - r**3 - r**l.
2*r**3*(r - 1)*(r + 1)
Let s(c) be the third derivative of 5*c**2 - 1/45*c**5 - 1/180*c**6 + 0 + 0*c**3 + 0*c - 1/36*c**4. What is o in s(o) = 0?
-1, 0
Let i(j) be the third derivative of -j**8/1008 + j**7/315 - j**6/360 - 6*j**2. Factor i(z).
-z**3*(z - 1)**2/3
Let c(x) be the second derivative of 3*x**4/22 + 16*x**3/33 - 4*x**2/11 + 7*x. What is n in c(n) = 0?
-2, 2/9
Let a(h) = -h**2 - h. Let g = 10 + -11. Let o be a(g). Find f such that 0 + o*f - 3/4*f**3 + 5/4*f**4 - 1/2*f**2 = 0.
-2/5, 0, 1
Let f(u) be the third derivative of u**7/210 + 7*u**6/120 + u**5/4 + 13*u**4/24 + 2*u**3/3 + 19*u**2. Solve f(l) = 0.
-4, -1
Let f(g) = g**3 - 13*g**2 + 11*g + 12. Let p be f(12). Let v = -15/4 - -61/12. Factor p + 2/3*u**3 + 0*u + v*u**4 + 0*u**2 - 2*u**5.
-2*u**3*(u - 1)*(3*u + 1)/3
Factor -18*c - 14 + 17*c**3 + 14 - 39*c**2 - 23*c**3.
-3*c*(c + 6)*(2*c + 1)
Let y = 550/