ctor w(g).
-2*g*(g - 1)/3
Let p(c) = -c - 1. Let j(y) = 3*y**4 + 11*y**3 + 6*y**2 - 14*y - 10. Let n(t) = j(t) - 2*p(t). Factor n(x).
(x - 1)*(x + 2)**2*(3*x + 2)
Let s(x) = -x**3 - 2*x**2 - 6. Let n be s(-3). Let i be (-2 + 2 + -1)*-2. Let 35*d**3 - i*d - n*d**5 - 29*d**3 - d = 0. What is d?
-1, 0, 1
Factor -4/9*u**3 + 0 + 0*u**4 + 2/9*u**5 + 0*u**2 + 2/9*u.
2*u*(u - 1)**2*(u + 1)**2/9
Let i(q) be the third derivative of -q**9/45360 - q**8/20160 + q**7/7560 + q**6/2160 + q**4/12 - 2*q**2. Let p(g) be the second derivative of i(g). Factor p(f).
-f*(f - 1)*(f + 1)**2/3
Let z(r) be the first derivative of -r**3 + 3/2*r**2 + 6*r + 3. Let z(l) = 0. Calculate l.
-1, 2
Let a be (3/1)/(18/12). Suppose -l = -5*h + 5, -l - a*l = -15. Factor -2*s**3 + h*s**3 - 3 - 2*s**2 + 8*s**2 - 3*s**4.
-3*(s - 1)**2*(s + 1)**2
Let m(i) be the third derivative of i**8/784 - i**7/70 + 9*i**6/140 - i**5/7 + i**4/7 + 2*i**2 + 1. Find n, given that m(n) = 0.
0, 1, 2
Let j = 149/14 + -57/7. Factor 1/2 - a**3 + j*a**2 - 2*a.
-(a - 1)**2*(2*a - 1)/2
Let d(a) be the first derivative of 5*a**4/4 - 5*a**3 + 5*a**2 - 11. Factor d(z).
5*z*(z - 2)*(z - 1)
Let g(y) be the third derivative of y**6/80 - y**5/40 + 9*y**2. Factor g(i).
3*i**2*(i - 1)/2
Find a, given that -2/5*a - 2/5*a**5 + 4/5*a**3 + 2/5*a**4 - 4/5*a**2 + 2/5 = 0.
-1, 1
Factor -3/4*n**4 + 0 + 0*n**2 - 3/4*n**3 + 0*n.
-3*n**3*(n + 1)/4
Let j = 12243 - 428432/35. Let z = -9/5 + j. Factor z*y**2 - 2/7*y**4 + 0*y + 0*y**3 + 0.
-2*y**2*(y - 1)*(y + 1)/7
Let i(w) be the first derivative of -w**4/8 + 6*w**3 - 108*w**2 + 864*w + 28. Factor i(u).
-(u - 12)**3/2
Let z be (-1 - 2)/(9/15*-1). Let a(r) be the second derivative of 0*r**3 + 2*r - 4/9*r**2 + 1/18*r**4 + 0 + 1/90*r**z. Factor a(v).
2*(v - 1)*(v + 2)**2/9
Find d, given that 64*d**3 - 9*d**4 + 20*d**5 + 6*d**4 - 65*d**4 - 16*d**2 = 0.
0, 2/5, 1, 2
Let g(j) be the third derivative of 0*j**3 + 3/80*j**6 + 1/96*j**4 + 1/42*j**7 + 0*j + 1/168*j**8 - 3*j**2 + 7/240*j**5 + 0. Solve g(h) = 0.
-1, -1/2, 0
Let j be 3/(0 - (-3)/5). Let q be (12/10)/(2/j). Determine d, given that -2/5*d**4 - 8/5*d**q - 2/5 - 12/5*d**2 - 8/5*d = 0.
-1
Let u(z) be the second derivative of z**7/14 + 3*z**6/10 + 9*z**5/20 + z**4/4 + 8*z. Factor u(h).
3*h**2*(h + 1)**3
Let r(n) = 3*n**3 + n**2 - 2*n + 1. Let u be 2/9 - 21/(-27). Let b be r(u). Let 2*k + 1 - 4*k**2 + 2*k**4 - 4*k**b + 2*k**5 + 1 + 0 = 0. Calculate k.
-1, 1
Let j(z) = 11*z**4 + 8*z**3 + 2*z**2 - 5. Let x = 8 + -3. Let u(o) = 7*o**4 + 5*o**3 + o**2 - 3. Let i(n) = x*j(n) - 8*u(n). Suppose i(t) = 0. Calculate t.
-1, 1
Let -18 - 2/9*t**2 + 4*t = 0. What is t?
9
Factor 4*z**2 - 36 - 2*z**3 - 32 + 68 - 4*z**4 + 2*z**5.
2*z**2*(z - 2)*(z - 1)*(z + 1)
Let o be (2/(-1 - 0))/(-5). Find p such that -o*p**3 - 2/5*p**4 + 2/5*p + 0 + 2/5*p**2 = 0.
-1, 0, 1
Factor -2*j**3 - 2*j + 8*j - 384 + 380.
-2*(j - 1)**2*(j + 2)
Let i(s) be the second derivative of 3/35*s**5 - 1/21*s**4 - 2/35*s**6 + 0 + 0*s**2 + 2/147*s**7 - 6*s + 0*s**3. Factor i(g).
4*g**2*(g - 1)**3/7
Let s(j) be the first derivative of 2*j**5/15 - 3*j**4/4 + 2*j**3/3 + j**2/2 - 1. Let k(r) be the second derivative of s(r). Factor k(t).
2*(t - 2)*(4*t - 1)
Let v(q) be the second derivative of q**4/30 - 4*q**3/15 + 3*q**2/5 + 36*q. Factor v(r).
2*(r - 3)*(r - 1)/5
Let s(u) = -u**2 - 9*u + 10. Let n be s(-10). What is r in -3 + n*r - 2*r**4 + 6*r**3 + 3 - 6*r**2 + 2*r = 0?
0, 1
Let p(n) be the second derivative of n**6/18 - 5*n**4/9 - 8*n. Let p(l) = 0. Calculate l.
-2, 0, 2
Suppose 4*b + 0*b = 12. Suppose 7*j - b*j - 8 = 0. Suppose j*i - 1/2*i**2 - 2 = 0. What is i?
2
Let n(o) be the first derivative of -o**7/63 + 3*o + 3. Let p(q) be the first derivative of n(q). What is v in p(v) = 0?
0
Let w(t) be the second derivative of t**9/5040 + 3*t**8/2240 + t**7/280 + t**6/240 - t**4/12 - 10*t. Let d(v) be the third derivative of w(v). Solve d(q) = 0.
-1, 0
Factor -1/6*g**2 + 1/3*g + 0.
-g*(g - 2)/6
Let x(l) be the third derivative of -l**5/570 - 4*l**4/57 - 60*l**2. Let x(g) = 0. Calculate g.
-16, 0
Suppose 0 = -12*a + 7*a + 15. Suppose 15 = 6*d + a. Let -2*x**3 - d*x**4 + 2*x + 1/2 + 3/2*x**2 = 0. Calculate x.
-1, -1/2, 1
Let l(f) be the second derivative of -f**5/20 + f**4/12 + f**3/6 + 9*f. Let w(y) = y**3 - 5*y**2 - 5*y - 1. Let d(u) = 6*l(u) + 3*w(u). Factor d(p).
-3*(p + 1)**3
Suppose -6*n + 2*n = 0. Let w(t) be the second derivative of 2*t + 0*t**4 - 1/21*t**7 + 2/15*t**6 + 0*t**3 + 0*t**2 - 1/10*t**5 + n. Factor w(l).
-2*l**3*(l - 1)**2
Let o be ((-3)/(-6))/((-6)/(-24)). Let q(t) be the second derivative of -t**2 - 4/3*t**4 + 2*t**3 - 3/5*t**5 + 3/5*t**6 - o*t + 0. Factor q(x).
2*(x - 1)*(x + 1)*(3*x - 1)**2
Let b(l) = 3*l**2 - 3. Let x(y) = -4*y**2 + 4. Let h(c) = -5*b(c) - 4*x(c). Factor h(i).
(i - 1)*(i + 1)
Determine z, given that -8/5*z**3 + 6/5*z**2 + 0 + 2/5*z = 0.
-1/4, 0, 1
Factor -5*h**2 - 19*h**3 - 25*h**4 + 17*h**3 - 10*h + 42*h**3.
-5*h*(h - 1)**2*(5*h + 2)
Let y(v) be the third derivative of 0 + 0*v - 1/280*v**7 + 2*v**2 + 0*v**3 + 1/32*v**4 - 3/80*v**5 + 3/160*v**6. Factor y(w).
-3*w*(w - 1)**3/4
Let f(q) be the second derivative of q**4/4 + 6*q**3 + 54*q**2 - 9*q. Factor f(w).
3*(w + 6)**2
Let c(n) = -n**2 + 7*n + 8. Let h be c(7). Factor -6*b**2 + 2*b**3 - 3*b**3 - h*b**3.
-3*b**2*(3*b + 2)
Let g(d) be the second derivative of -7*d + 0 + 0*d**2 - 1/15*d**6 - 1/5*d**5 - 1/6*d**4 + 0*d**3. Factor g(m).
-2*m**2*(m + 1)**2
Let l = -1/62 - -17/93. Let i(h) be the first derivative of l*h**3 + 1/2*h**2 + 1/2*h - 2. Solve i(m) = 0.
-1
Let y be (10/(-20))/((-2)/12). Let h(c) be the third derivative of 0*c**y - 1/120*c**5 + 1/240*c**6 + 0 + 0*c + 3*c**2 + 0*c**4. Factor h(t).
t**2*(t - 1)/2
Let y(p) = 2*p**2 - 25*p + 12. Let t be y(12). Let f(b) be the third derivative of 5*b**2 + 0*b**3 + 0*b + 0*b**4 - 1/720*b**6 - 1/360*b**5 + t. Factor f(x).
-x**2*(x + 1)/6
Let k(f) be the third derivative of -10*f**2 + 0*f**3 + 1/6*f**4 + 0 + 0*f - 1/30*f**6 - 1/30*f**5 + 1/105*f**7. Factor k(x).
2*x*(x - 2)*(x - 1)*(x + 1)
Let h(d) be the second derivative of -5*d + 1/80*d**5 + 1/16*d**4 + 1/8*d**2 + 0 + 1/8*d**3. Solve h(c) = 0 for c.
-1
Let w(a) be the second derivative of a**7/14 - 2*a**6/5 + 3*a**5/10 + a**4 - 3*a**3/2 + 4*a. Factor w(j).
3*j*(j - 3)*(j - 1)**2*(j + 1)
Factor -30*d**3 + 16*d**5 - 20*d**4 - 9*d**2 - 11*d**2 - 21*d**5 - 5*d.
-5*d*(d + 1)**4
Let b(c) be the first derivative of -c**6/2 + 3*c**5/5 + 3*c**4/2 - 2*c**3 - 3*c**2/2 + 3*c - 1. Factor b(w).
-3*(w - 1)**3*(w + 1)**2
Let k(c) be the second derivative of 0 - 1/150*c**5 - 1/15*c**3 - 3*c + 1/2*c**2 - 1/30*c**4. Let m(o) be the first derivative of k(o). Factor m(u).
-2*(u + 1)**2/5
Let s = 68 - 68. Find w, given that 1/3*w**4 + 2/3*w**3 + 0*w + s + 1/3*w**2 = 0.
-1, 0
Let m = 3 - -10. Let p = 41/3 - m. Factor -2/3*b**4 + 0*b**2 + 0 + 0*b - p*b**3.
-2*b**3*(b + 1)/3
Let u(n) be the third derivative of 0*n - 1/3*n**3 - 7/240*n**6 + 0 - 1/6*n**4 + 19/120*n**5 - 3*n**2. Factor u(o).
-(o - 2)*(o - 1)*(7*o + 2)/2
Factor 2/11*d**5 + 4/11 - 4/11*d**3 - 4/11*d**4 - 14/11*d + 16/11*d**2.
2*(d - 1)**4*(d + 2)/11
Let j = -37 + 39. Factor -3/5*m**5 - 2*m**3 + 0*m**j - 2/5 + m + 2*m**4.
-(m - 1)**4*(3*m + 2)/5
Let b(t) be the second derivative of -t**7/49 - 2*t**6/15 - 13*t**5/35 - 4*t**4/7 - 11*t**3/21 - 2*t**2/7 + 5*t + 3. Factor b(g).
-2*(g + 1)**4*(3*g + 2)/7
Let s(c) = c**3 - c**2 - c + 1. Let l(b) = 6*b**3 - 18*b**2 + 18*b - 6. Let f(a) = l(a) - 3*s(a). Factor f(u).
3*(u - 3)*(u - 1)**2
Let m(q) be the first derivative of -q**4/16 + 2*q**3/3 - 2*q**2 + 48. Suppose m(y) = 0. Calculate y.
0, 4
What is o in 0 - 1/4*o**5 + 1/2*o**2 - 1/2*o**4 + 0*o**3 + 1/4*o = 0?
-1, 0, 1
Let c(d) be the second derivative of d**4/4 - 3*d**2/2 - 3*d. Find x, given that c(x) = 0.
-1, 1
Solve -2/9*i**2 - 2/9*i + 4/9 = 0.
-2, 1
Let g = -133/5 + 27. Factor g*d**3 + 2/5*d - 4/5*d**2 + 0.
2*d*(d - 1)**2/5
Let d(x) = -3*x**2 - 2*x + 1. Let t(f) be the first derivative of -16*f**3/3 - 5*f**2 + 6*f + 4. Let p(v) = 33*d(v) - 6*t(v). Solve p(a) = 0.
-1
Let f(z) = -z**3 + 5*z**2 + 10*z + 4. Let s(r) = 6*r + 5*r + 6*r**2 - 2*r + 3. Let d(g) = -3*f(g) + 4*s(g). Solve d(i) = 0.
-2, -1, 0
Let n be 4 - 0 - 1185/360. Let m(z) be the second derivative of 1/40*z**5