se q(r) = 0. Calculate r.
-3, 1
Factor -2/7*y**5 - 10/7*y**4 - 2*y**3 - 6/7*y**2 + 0*y + 0.
-2*y**2*(y + 1)**2*(y + 3)/7
Factor -3/5*h**2 + 2/5 + 1/5*h**4 + 1/5*h**3 - 1/5*h.
(h - 1)**2*(h + 1)*(h + 2)/5
Let r(t) be the second derivative of -t**4/24 - t**3 + 27*t. Solve r(w) = 0 for w.
-12, 0
Let q be 873/24*(-1)/(-12) + -3. Let l(n) be the third derivative of -1/160*n**6 + 0*n + 0 + n**2 + 0*n**3 - q*n**4 - 1/40*n**5. Factor l(b).
-3*b*(b + 1)**2/4
Suppose -3*z = -4*z. Let n(d) be the third derivative of -1/30*d**5 + 1/672*d**8 + 1/140*d**7 + 0 + 0*d + 0*d**4 - d**2 + z*d**6 + 0*d**3. Factor n(m).
m**2*(m - 1)*(m + 2)**2/2
Let n = -169/2 + 85. Factor 1/4 + 1/2*t**3 - 1/4*t**4 - n*t + 0*t**2.
-(t - 1)**3*(t + 1)/4
Let a = -71/3 - -24. Factor -1/3 - 2/3*r - a*r**2.
-(r + 1)**2/3
Let a(j) be the second derivative of j**5/170 - 7*j**3/51 - 6*j**2/17 + 2*j - 7. Factor a(v).
2*(v - 3)*(v + 1)*(v + 2)/17
Suppose 0 = 6*d - 3*d. Let r(a) be the third derivative of 0*a**3 + d*a + 2*a**2 + 1/80*a**5 + 0 - 1/48*a**4. Determine s so that r(s) = 0.
0, 2/3
Let v(w) = 4*w**5 - 4*w**3 + 6*w**2 - 4. Let z = -1 - 1. Let k(x) = -5*x**5 - x**4 + 4*x**3 - 7*x**2 + x + 5. Let c(q) = z*k(q) - 3*v(q). Factor c(l).
-2*(l - 1)**3*(l + 1)**2
Let x be 8/3*(-3)/((-252)/7). Factor 2/9*w + x*w**3 - 4/9*w**2 + 0.
2*w*(w - 1)**2/9
Suppose 4*u - 4 = -5*o, -4*u - o = -5*u + 10. Suppose -u*f = -2*f. Factor -1/5*g**4 + f + 0*g + 0*g**2 + 0*g**3.
-g**4/5
Let j(v) = -2*v**4 - 4*v**3 - 2*v**2 - 4*v. Let m(y) = -4*y**4 - 7*y**3 - 3*y**2 - 7*y. Let q(k) = -7*j(k) + 4*m(k). Let q(a) = 0. Calculate a.
-1, 0, 1
Let z(f) = 3*f**2 + f + 2. Let i(x) = x**2 + 1. Let k = -6 - -9. Let j(q) = k*z(q) - 6*i(q). Factor j(r).
3*r*(r + 1)
Let m(r) be the third derivative of r**7/70 - r**6/40 - r**5/5 + r**4/2 - 11*r**2. Factor m(h).
3*h*(h - 2)*(h - 1)*(h + 2)
Let v(z) be the third derivative of -1/840*z**8 + 1/150*z**5 + 0*z**4 + 1/175*z**7 + 0*z - 1/100*z**6 + 0 + 0*z**3 - 6*z**2. Factor v(a).
-2*a**2*(a - 1)**3/5
Suppose -w - 7060 = 4*w. Let p = w - -7116/5. Determine y, given that -p*y + 16/5 + 36/5*y**2 - 54/5*y**4 + 54/5*y**3 = 0.
-1, 2/3
Let z = 3 - 0. Suppose 0 = -8*c + z*c. Factor 5*h**2 - 2*h - 5*h**3 + 12*h**3 + c*h.
h*(h + 1)*(7*h - 2)
Let b(y) be the second derivative of -y**8/40320 + y**7/3780 - y**6/1080 - y**4/4 - y. Let m(w) be the third derivative of b(w). Suppose m(d) = 0. Calculate d.
0, 2
Let f(u) be the second derivative of -1/30*u**6 + 0 + 1/12*u**4 + 0*u**2 - 1/20*u**5 + u + 1/6*u**3. Factor f(z).
-z*(z - 1)*(z + 1)**2
Factor r**2 - 6*r**3 - 15*r - 5*r**4 - 7*r**3 - 36*r**2 - 12*r**3.
-5*r*(r + 1)**2*(r + 3)
Factor 8/13*c - 2/13*c**4 + 0 + 10/13*c**3 - 16/13*c**2.
-2*c*(c - 2)**2*(c - 1)/13
Suppose 24*c - 28*c = -12. Let z(t) be the second derivative of 0 - 4*t + 1/7*t**2 + 0*t**c - 1/42*t**4. Factor z(y).
-2*(y - 1)*(y + 1)/7
Determine v, given that 0*v + 0 + 15/2*v**3 + 39/4*v**4 + 21/8*v**5 - 3*v**2 = 0.
-2, 0, 2/7
Factor 4/3*j**4 + 5/3*j**3 + 0*j + 2/3*j**2 + 0 + 1/3*j**5.
j**2*(j + 1)**2*(j + 2)/3
Let l(o) be the first derivative of 2/27*o**3 + 0*o - 1/9*o**2 + 4. Factor l(m).
2*m*(m - 1)/9
Determine j so that 0 + 2/7*j**2 - 8/7*j - 2/7*j**4 + 8/7*j**3 = 0.
-1, 0, 1, 4
Let t(a) = 3*a. Let z be t(1). Let b + 310 + 2*b**2 - 310 + b**z = 0. Calculate b.
-1, 0
Let u(j) be the third derivative of j**7/10 + j**6/20 + j**2. Suppose u(c) = 0. Calculate c.
-2/7, 0
Let p = 14 - 17. Let k(a) = 28*a**4 + 45*a**3 + 15*a**2 - 11*a. Let t(m) = -28*m**4 - 46*m**3 - 14*m**2 + 10*m. Let f(z) = p*t(z) - 2*k(z). Factor f(c).
4*c*(c + 1)**2*(7*c - 2)
Let j(h) = -h**5 - h**4 + h**3 - h**2 - 1. Let n(z) = 4*z**5 + 6*z**4 - 5*z**3 - 3*z**2 + z + 6. Let v(g) = -3*j(g) - n(g). Suppose v(s) = 0. Calculate s.
-3, -1, 1
Factor -229*x - x**2 - 8 - x**2 + 219*x.
-2*(x + 1)*(x + 4)
Let k(g) be the first derivative of -g**4/84 - g**3/14 - g**2/7 - 3*g + 5. Let x(s) be the first derivative of k(s). Find a such that x(a) = 0.
-2, -1
Let u(l) = -55*l**3 + 190*l**2 - 145*l + 80. Let b(a) = 6*a**3 - 21*a**2 + 16*a - 9. Let k(h) = 35*b(h) + 4*u(h). What is i in k(i) = 0?
1/2, 1
Let c = -157/3 - -1891/36. Let x(k) be the third derivative of c*k**4 + 0 + 0*k - 1/18*k**5 - 2/9*k**3 - k**2. Let x(i) = 0. What is i?
2/5, 1
Determine x so that -2*x**2 - 1/6*x**5 - 2/3*x + 0 - x**4 - 13/6*x**3 = 0.
-2, -1, 0
Let y = 648 - 233279/360. Let b(m) be the third derivative of 1/60*m**5 + 0*m**4 + 0 - 2/9*m**3 + 0*m - m**2 + y*m**6. Factor b(d).
(d - 1)*(d + 2)**2/3
Solve 2/5*s**5 - 2/5 + 6/5*s**4 - 4/5*s**2 + 4/5*s**3 - 6/5*s = 0 for s.
-1, 1
Determine t so that -21*t**5 + 102*t**4 + 7*t**5 - 6 + 18*t**3 - 49*t**5 + 45*t - 96*t**2 = 0.
-1, 2/7, 1/3, 1
Let q(f) = 3*f**3 - 5*f**2 + f + 1. Let h(k) = -8*k**3 + 14*k**2 - 4*k - 2. Let b(o) = -5*h(o) - 14*q(o). Factor b(d).
-2*(d - 1)**2*(d + 2)
Factor 12*i**3 - 10*i + 21*i**4 - 24*i**4 - 2*i + 3*i**2.
-3*i*(i - 4)*(i - 1)*(i + 1)
Find x such that 1/2*x**3 - 4/3*x**2 + 0 + 2/3*x = 0.
0, 2/3, 2
Let j(m) be the second derivative of -2/27*m**3 + 1/27*m**6 - 5/54*m**4 + 1/10*m**5 + 5*m + 0*m**2 - 1/27*m**7 + 0. Solve j(i) = 0 for i.
-1, -2/7, 0, 1
Let d(u) = 7*u**2 - 15*u + 8. Let f(x) = 8*x**2 - 15*x + 7. Let j(h) = 3*d(h) - 2*f(h). Factor j(a).
5*(a - 2)*(a - 1)
Let i(o) = 3*o**2 - 3*o + 8. Let w(k) = -4*k**2 + 2*k - 9. Let l(j) = 3*i(j) + 2*w(j). Let l(r) = 0. What is r?
2, 3
Let o(x) be the third derivative of -x**7/10080 + x**5/480 - x**4/24 - 3*x**2. Let g(a) be the second derivative of o(a). Factor g(k).
-(k - 1)*(k + 1)/4
Let x(b) be the second derivative of -b**5/70 - b**4/42 + 8*b. Solve x(h) = 0.
-1, 0
Let c(h) be the second derivative of -h**7/21 + h**6/4 - h**5/2 + 5*h**4/12 - h**2/4 - 4*h. Suppose c(q) = 0. What is q?
-1/4, 1
Let x = -30659/60 + 511. Let i(d) be the third derivative of 1/12*d**4 + 3*d**2 + 0*d + 1/105*d**7 + 0*d**3 - 1/30*d**5 + 0 - x*d**6. Find k such that i(k) = 0.
-1, 0, 1
Let l(y) be the second derivative of -2*y**6/45 - 2*y**5/5 - 13*y**4/9 - 8*y**3/3 - 8*y**2/3 - 2*y. Solve l(o) = 0 for o.
-2, -1
Suppose -y + 9 - 3 = 0. What is a in -4 + 8*a**2 - 4*a**2 - 6*a**2 - y*a = 0?
-2, -1
Factor -7 + 5 - 4 - 4*o**3 - 9*o + 7*o**3.
3*(o - 2)*(o + 1)**2
Let l(c) be the first derivative of c**6/10 + 3*c**5/20 - 3*c**4/4 - c**3/2 + 3*c**2 - 3*c + 3. Let b(o) be the first derivative of l(o). Factor b(i).
3*(i - 1)**2*(i + 1)*(i + 2)
Suppose 2*h = -0*t + 4*t - 26, -2*h + 38 = 4*t. Let m(i) be the first derivative of 8*i**2 - t*i - 10/3*i**3 + 2 + 1/2*i**4. Suppose m(g) = 0. What is g?
1, 2
Let b(j) be the second derivative of -j**4/8 + 2*j**3 - 12*j**2 - 8*j. Factor b(c).
-3*(c - 4)**2/2
Let y be 207/63 - (12/(-14))/(-3). Factor 0*b**y + 1/5 + 1/5*b**4 - 2/5*b**2 + 0*b.
(b - 1)**2*(b + 1)**2/5
Let v(m) be the third derivative of 0*m**3 - 1/90*m**5 + 0*m + 0 + 1/180*m**6 + 2*m**2 + 1/315*m**7 - 1/36*m**4. Determine l, given that v(l) = 0.
-1, 0, 1
Factor 5*n - 100 - 45*n - 5*n**2 + 20.
-5*(n + 4)**2
Suppose x - 4 = 4*t, 2*x + t + 0*t + 1 = 0. Let o = 18/95 - -4/19. Factor 0*z - o*z**2 + x.
-2*z**2/5
Let u = 372 + -9297/25. Let c = 41/75 + u. Factor 0*z - c + 2/3*z**2.
2*(z - 1)*(z + 1)/3
Let c(v) be the second derivative of v**9/52920 + v**8/11760 + v**7/8820 - v**4/4 - 2*v. Let o(h) be the third derivative of c(h). Factor o(u).
2*u**2*(u + 1)**2/7
Let i be 4/((-144)/(-154)) - 16/(-72). Factor 2*n**5 - i*n**4 + n**3 - 3*n + 1/2 + 4*n**2.
(n - 1)**3*(n + 1)*(4*n - 1)/2
Let k(i) = 3*i**2 + 7*i. Let v(u) = -4*u**2 - 7*u. Let o(s) = 5*k(s) + 4*v(s). Factor o(p).
-p*(p - 7)
Let n(d) be the third derivative of d**10/90720 + d**9/22680 + d**8/20160 - d**4/12 + 2*d**2. Let y(s) be the second derivative of n(s). What is b in y(b) = 0?
-1, 0
Let x(q) be the third derivative of 3*q**8/112 + q**7/7 + 3*q**6/10 + 3*q**5/10 + q**4/8 + 14*q**2. Factor x(z).
3*z*(z + 1)**3*(3*z + 1)
Let z be ((-60)/63 + 1)*6. Let m be (2 + -2)/3 + 2. Factor 0*w + 0 + 6/7*w**4 - 6/7*w**3 - 2/7*w**5 + z*w**m.
-2*w**2*(w - 1)**3/7
Suppose -2*i + 1 = -5. Suppose -4*u - 4*y = -20, -i*u + 8*u = 2*y - 10. Find g, given that -g**4 + 1/2*g**5 + u + 0*g**3 + g**2 - 1/2*g = 0.
-1, 0, 1
Let t be ((-4)/18)/(4/(-6)). Factor 0*u + 0 - 2/3*u**3 + t*u**4 + 1/3*u**2.
u**2*(u - 1)**2/3
Let b be (3/(-2))/((-3