*3. Factor j(l).
2*l*(l - 1)**2*(l + 1)**2
Let j be 12/(-810)*(-3)/2. Let s(r) be the second derivative of 0 + 1/18*r**4 - r - j*r**6 + 0*r**3 - 1/63*r**7 + 1/30*r**5 + 0*r**2. Factor s(p).
-2*p**2*(p - 1)*(p + 1)**2/3
Let r(j) be the first derivative of -j**6/360 - j**3 + 2. Let y(s) be the third derivative of r(s). Factor y(b).
-b**2
Solve -1/2*x**2 + 1/4*x**4 + 1/2*x - x**3 + 1/2*x**5 + 1/4 = 0.
-1, -1/2, 1
Let g = 733 - 730. Factor -2 - 4*j - 5/2*j**2 - 1/2*j**g.
-(j + 1)*(j + 2)**2/2
Let m(n) be the second derivative of n + 0*n**4 + 0*n**2 + 1/180*n**6 + 1/60*n**5 + 0 - 1/6*n**3. Let f(d) be the second derivative of m(d). Factor f(r).
2*r*(r + 1)
Let p = -11 - -13. Suppose -3 + v**4 + 3 + 0 - p*v**3 + v**2 = 0. Calculate v.
0, 1
Let l = 10085063/240 + -42021. Let t(i) be the third derivative of l*i**6 - i**2 + 0*i + 1/60*i**7 + 1/6*i**3 + 9/40*i**5 + 0 + 13/48*i**4. Factor t(d).
(d + 1)**3*(7*d + 2)/2
Let x be 0/(-2)*(-3)/(-6). Let v(y) be the third derivative of 1/60*y**4 + 0*y + 0*y**3 + 1/300*y**6 + 1/75*y**5 + 2*y**2 + x. Find k, given that v(k) = 0.
-1, 0
Let 4/3*s**5 + 0*s - 4/3*s**3 + 8/3*s**2 - 8/3*s**4 + 0 = 0. What is s?
-1, 0, 1, 2
Let z(d) be the third derivative of d**5/15 - 3*d**2. Let k be ((-10)/(-6))/(1/(-3)). Let t(x) = x**3 - 8*x**2 + x. Let g(m) = k*z(m) - 2*t(m). Factor g(o).
-2*o*(o + 1)**2
Let q = -87846 - -7378921/84. Let u = -17/12 - q. Factor 0*v**3 + 0 + 0*v + u*v**2 - 2/7*v**4.
-2*v**2*(v - 1)*(v + 1)/7
Let v(g) = g**4 - 14*g**3. Let i(q) = 2*q**3. Let u(t) = -14*i(t) - 2*v(t). Solve u(l) = 0 for l.
0
Let y(s) = 2*s**2 - 2*s - 2. Let b be y(2). Find f such that f**4 + b*f**3 + f + f**2 - f = 0.
-1, 0
Let f(i) be the third derivative of i**7/840 + i**6/160 + i**5/80 + i**4/96 + 11*i**2. Suppose f(h) = 0. Calculate h.
-1, 0
Let d(c) = -c**3 + c. Let z(n) = -2*n**4 - 4*n**3 - 2*n**2 + 8*n. Let p(s) = 8*d(s) - z(s). Find h, given that p(h) = 0.
0, 1
Suppose h = 5*b - 17, -4*b = 3*h + h - 28. Let v(l) be the first derivative of 0*l + 1/2*l**b + 2/5*l**5 + 0*l**3 + 4 + 0*l**2. Factor v(r).
2*r**3*(r + 1)
Let m be (((-231)/(-44))/(-21))/((-1)/8). Factor 1/2*l**m - 2*l + 3/2.
(l - 3)*(l - 1)/2
Let s(w) be the first derivative of -w**6/16 + 11*w**5/40 - 9*w**4/32 - 7*w**3/24 + 3*w**2/4 - w/2 - 6. Solve s(d) = 0 for d.
-1, 2/3, 1, 2
Let w(k) be the first derivative of -6 + 0*k**4 + 0*k**2 + 0*k**3 + 3/5*k**5 + 0*k. Determine t so that w(t) = 0.
0
Factor 4*g**3 - 14 - 20*g**3 + 12*g**2 + 5 + 16*g + 4*g**4 - 7.
4*(g - 2)**2*(g - 1)*(g + 1)
Let w = -120/6643 + -2/511. Let x = w - -4/13. Factor -4/7 + x*q**2 + 2/7*q.
2*(q - 1)*(q + 2)/7
Let l be (-1)/5 - 261/(-580). Factor -l*s**2 + 0 - 1/2*s.
-s*(s + 2)/4
Let w(x) be the second derivative of 0 - 1/10*x**3 - x + 0*x**2 + 0*x**4 + 3/100*x**5. Solve w(v) = 0.
-1, 0, 1
Let x(u) be the second derivative of -u**4/7 + 5*u**3/14 - 3*u**2/14 - 31*u. Suppose x(h) = 0. What is h?
1/4, 1
Let k(a) be the first derivative of 4*a**3/3 + 4*a**2 - 11. Suppose k(x) = 0. What is x?
-2, 0
Factor 0*i**2 + 0*i - 1/2*i**3 + 0.
-i**3/2
Let r be (5 - 7 - -1) + 6/4. Solve -1/2*q**2 + r*q**3 - 1/2*q + 1/2 = 0.
-1, 1
Factor -2*j**2 - 2*j**2 - 2*j + 3*j**2 + 0*j**3 + j**3.
j*(j - 2)*(j + 1)
Let l be -2 - 0 - (-47)/19. Let m = l + -25/133. Suppose 0 + 2/7*w**2 - m*w**4 + 4/7*w**3 - 4/7*w = 0. Calculate w.
-1, 0, 1, 2
Let h(f) be the first derivative of f**3/15 - f**2/10 - 2*f/5 + 25. Determine j so that h(j) = 0.
-1, 2
Suppose 2 + 2*s - 8*s + 3*s**2 + 1 = 0. What is s?
1
Let o(d) be the third derivative of 0*d + 0*d**5 - 3*d**2 + 1/420*d**6 + 0*d**3 + 0*d**4 + 0. Factor o(m).
2*m**3/7
Suppose 12 - 2 = -5*k, -2*m + 46 = 5*k. Suppose 3*h - m = l, -l + 8 = -2*h + 28. Factor 6*v**2 + h - 5*v - 7*v + v**3 - 2*v**3.
-(v - 2)**3
Let g be 194/(-42) - 2 - -3. Let v = 30/7 + g. Factor -1/3*d**2 + d - v.
-(d - 2)*(d - 1)/3
Let b be 0/(4/((-12)/9)). Let o be b - (-1 - (-3)/9). Determine z, given that -2/3 + 4/3*z - o*z**2 = 0.
1
Let p(o) be the second derivative of o**6/720 - o**5/120 + o**4/48 + o**3/6 - 3*o. Let b(m) be the second derivative of p(m). Factor b(v).
(v - 1)**2/2
Find a such that 32/9 + 4/3*a**3 + 2/9*a**4 - 16/3*a + 2/9*a**2 = 0.
-4, 1
Let w be 32/(-6) - 12/(-2). Factor -w + 2/3*m**2 + 0*m.
2*(m - 1)*(m + 1)/3
Let i(g) be the third derivative of g**6/480 - g**5/240 - 2*g**2. Factor i(r).
r**2*(r - 1)/4
Let r = -256/3 + 86. Factor r + 4/3*w + 2/3*w**2.
2*(w + 1)**2/3
Let d(c) be the third derivative of -1/110*c**5 - 1/660*c**6 - 1/66*c**4 - c**2 + 0 + 0*c + 0*c**3. Factor d(f).
-2*f*(f + 1)*(f + 2)/11
Suppose -15 = -7*q + 4*q. Let r = 8 - q. Factor -4/9 - 20/3*h**4 + 10/3*h - 80/9*h**2 + 14/9*h**5 + 100/9*h**r.
2*(h - 1)**4*(7*h - 2)/9
Determine x, given that 0 + 1/2*x**2 + 3*x = 0.
-6, 0
Let w(y) be the third derivative of -y**8/26880 + y**7/10080 + y**6/2880 - y**5/480 - y**4/6 - y**2. Let m(o) be the second derivative of w(o). Factor m(q).
-(q - 1)**2*(q + 1)/4
Factor -2 + 21*t**2 - 8*t - 48*t**2 + 21*t**2.
-2*(t + 1)*(3*t + 1)
Let g(n) be the first derivative of -n**3/7 - 6*n**2/7 - 9*n/7 + 5. Factor g(j).
-3*(j + 1)*(j + 3)/7
Let p = 1 - 3. Let g(v) = -v**3 - v**2 + v + 3. Let c(a) = 2 - 1 + 1. Let j(k) = p*g(k) + 2*c(k). Factor j(z).
2*(z - 1)*(z + 1)**2
Let x(d) be the second derivative of d**7/2940 - d**6/1260 - d**5/420 + d**4/84 - 4*d**3/3 + 5*d. Let c(u) be the second derivative of x(u). Factor c(a).
2*(a - 1)**2*(a + 1)/7
Let a(q) be the second derivative of 0*q**2 + 0*q**3 - 9*q + 0 - 1/12*q**4. Suppose a(m) = 0. Calculate m.
0
Let v(f) be the third derivative of -f**5/510 - f**4/51 + 28*f**2. Factor v(j).
-2*j*(j + 4)/17
Suppose 0 = 35*l - 31*l. Let r(i) be the second derivative of 3*i + 0*i**2 + 0*i**3 + 1/16*i**4 + l. Factor r(z).
3*z**2/4
Let a be (-6)/(-2)*5/(15/2). Determine d, given that -3/2*d**3 + 11/6*d - 1/3 - 2*d**a = 0.
-2, 1/3
Factor -40/9*z**2 - 22/9*z**3 + 4/9 - 14/9*z.
-2*(z + 1)**2*(11*z - 2)/9
Let f(v) be the second derivative of v**8/560 - v**7/140 - v**3/3 - 2*v. Let s(o) be the second derivative of f(o). Factor s(a).
3*a**3*(a - 2)
Let z(i) be the first derivative of -i**4/12 - 5*i**3/3 - 9*i**2/2 - 13*i/3 + 18. Let z(a) = 0. What is a?
-13, -1
Let u(j) be the first derivative of j**8/112 - 3*j**7/70 + 3*j**6/40 - j**5/20 + 2*j**2 + 1. Let v(x) be the second derivative of u(x). Solve v(h) = 0.
0, 1
Let u(j) be the second derivative of 0 + 0*j**4 + 1/120*j**5 - 1/2*j**3 + 0*j**2 - 4*j + 1/360*j**6. Let g(k) be the second derivative of u(k). Factor g(r).
r*(r + 1)
Suppose -13 - 2 = -3*v. Determine j so that 3 - 6*j**2 + 3*j**4 + 6*j**3 - 3*j**v + 5 - 5 - 3*j = 0.
-1, 1
Suppose 5*h + p = 13 - 6, -3*h = 2*p. Factor 0*g**h + 6*g**2 - 3*g**3 + 2*g**4 - 11*g**4 + 0*g**2.
-3*g**2*(g + 1)*(3*g - 2)
Let s(l) be the first derivative of 1/12*l**4 - 1/3*l**3 + 3 + 0*l**2 + 4/3*l. Factor s(p).
(p - 2)**2*(p + 1)/3
Let m(g) be the third derivative of -g**5/90 - g**4/9 - 13*g**2. Factor m(p).
-2*p*(p + 4)/3
Let i be (-2)/6*(5 - 5). Factor 2/7*u**3 + 2/7*u**5 + 0*u**2 + i + 0*u - 4/7*u**4.
2*u**3*(u - 1)**2/7
Suppose 0 = 2*z - 5*z + 6. Suppose 3*w + 2 = 17. Factor 9*q**3 - 2*q**z - w*q**3 + 4*q**3.
2*q**2*(4*q - 1)
Let i be (-2 - 2731/(-1455))*3. Let y = 3/97 - i. Factor -2/5*w**2 + y + 0*w.
-2*(w - 1)*(w + 1)/5
Let j(o) = 2*o + o**2 + o**3 - 2*o**3 + 1 + o**2. Let l be j(2). Determine u so that 4*u**3 - u**3 + u**3 - 2*u**l - 2*u**4 = 0.
-2, 0, 1
Suppose 22*u + 5*u**3 + 0*u**3 + 14*u + 20*u**2 - 21*u = 0. Calculate u.
-3, -1, 0
Let c(m) be the second derivative of -m**6/10 - 9*m**5/20 - m**4/4 + 3*m**3/2 + 3*m**2 + m. Find q, given that c(q) = 0.
-2, -1, 1
Let t = 0 + 2. Let h = 4 - t. Suppose -2*o**h + 2*o**2 + o**2 + o = 0. What is o?
-1, 0
Let z = -5 + 7. Factor -k**2 - k + k**z + 0*k - k**2.
-k*(k + 1)
Suppose 0 = -5*z - 2 + 17. Factor d**z - d**4 - 5*d**3 + 4*d**3 - d**5.
-d**4*(d + 1)
Let b = -12 + 15. Let w(i) be the first derivative of 2 - 1/2*i**2 + 0*i + 1/3*i**b. Let w(f) = 0. Calculate f.
0, 1
Let n be 40/5 + (3 - 9). What is f in -2 - 4/3*f - 2/9*f**n = 0?
-3
Factor 0*o**2 - 8/5 + 4/5*o**3 - 12/5*o.
4*(o - 2)*(o + 1)**2/5
Let m(x) be the third derivative of -x**7/210 + 7*x**6/480 - x**5/80 + 6*x**2. Factor m(w).
-w**2*(w - 1)*(4*w - 3)/4
Let y(g) be the third deri