Solve v(l) = 0.
-1, 0
Let y(o) = 8*o**5 + 8*o**4 - 18*o**3 - 8*o**2 + 10*o + 3. Let g(l) = 9*l**5 + 9*l**4 - 19*l**3 - 9*l**2 + 10*l + 4. Let p(b) = -3*g(b) + 4*y(b). Factor p(n).
5*n*(n - 1)**2*(n + 1)*(n + 2)
Suppose -t + 0*t + 3 = 0. Let s be 48/36 - 4/(-6). Suppose -3*x**2 - 3*x**3 + s - 2*x**t + 2*x + x**2 + 3*x**3 = 0. Calculate x.
-1, 1
Suppose -3*q + 5 + 1 = 0. Suppose -q*b - 15 = -5*y, -4*y + 5 + 7 = -4*b. Factor b + 1/3*x**3 - 1/3*x**4 + 0*x**2 + 0*x.
-x**3*(x - 1)/3
Let y(x) be the third derivative of x**6/720 - 7*x**5/360 - 41*x**2. Factor y(j).
j**2*(j - 7)/6
Let o(g) be the second derivative of -g**5/80 + 3*g**4/16 - 9*g**3/8 + 27*g**2/8 + 12*g. What is h in o(h) = 0?
3
Let y be (-20)/8*12/(-15). Let v(b) be the second derivative of 0*b**3 - 1/60*b**6 + 0 - 1/12*b**4 + b + 3/40*b**5 + 0*b**y. Factor v(a).
-a**2*(a - 2)*(a - 1)/2
Let d(r) be the first derivative of 2*r**5/5 - r**4/8 - 10. Let d(h) = 0. What is h?
0, 1/4
Let a(f) be the second derivative of 2*f + 0*f**2 + 1/36*f**3 + 0 + 1/24*f**4. What is r in a(r) = 0?
-1/3, 0
Factor -17*q**3 - 15*q**2 + 20*q - 2*q**3 + 1 - 21*q - 7*q**4 + 1.
-(q + 1)**3*(7*q - 2)
Suppose 15 = -c + 4*c. Suppose -4*x + c + 3 = 0. Factor 4*h - 2*h + h**x - h.
h*(h + 1)
Suppose 0*z + z = 6. Let r(q) = 6*q**3 - 6*q**2 + 11*q - 11. Let c(h) = 2*h**3 - 2*h**2 + 4*h - 4. Let b(g) = z*r(g) - 17*c(g). Factor b(l).
2*(l - 1)**2*(l + 1)
Let a(d) = 2*d**2 - 3*d + 3. Let f be a(2). Let t(s) be the first derivative of 0*s + 2 + 0*s**3 + 0*s**2 + 1/6*s**4 + 2/15*s**f. Factor t(m).
2*m**3*(m + 1)/3
Let q(n) be the second derivative of 2*n**7/21 - 2*n**6/15 - 3*n. Suppose q(z) = 0. Calculate z.
0, 1
Let q(h) be the third derivative of h**8/26880 - h**7/10080 + 5*h**4/12 + 8*h**2. Let s(u) be the second derivative of q(u). Solve s(f) = 0.
0, 1
Let f(x) be the third derivative of -x**6/40 - 39*x**5/20 - 507*x**4/8 - 2197*x**3/2 + x**2. Factor f(t).
-3*(t + 13)**3
Let s(n) be the second derivative of -n**6/135 - n**5/45 + 2*n**3/27 + n**2/9 + 3*n. Factor s(y).
-2*(y - 1)*(y + 1)**3/9
Let h(l) be the third derivative of -l**7/840 - l**6/240 + l**4/8 - l**2. Let p(m) be the second derivative of h(m). Factor p(x).
-3*x*(x + 1)
Let t(q) be the third derivative of -q**8/13440 - q**7/720 - q**6/96 - 3*q**5/80 - 5*q**4/24 - 2*q**2. Let z(i) be the second derivative of t(i). Factor z(c).
-(c + 1)*(c + 3)**2/2
Let y(w) be the second derivative of -2*w**6/15 - 2*w**5/5 + w**4/3 + 4*w**3/3 - 10*w. Factor y(b).
-4*b*(b - 1)*(b + 1)*(b + 2)
Let 2/3*u**3 + 0 + 0*u - 2/3*u**2 = 0. Calculate u.
0, 1
Let a(x) be the first derivative of -5*x**4/12 - 25*x**3/9 - 30. Factor a(f).
-5*f**2*(f + 5)/3
Let y(b) be the third derivative of -b**6/160 + 9*b**5/40 - 27*b**4/8 + 27*b**3 - 16*b**2. Suppose y(t) = 0. Calculate t.
6
Let u(w) = -w**3 - 5*w**2 - w - 1. Let j be u(-5). Factor 0 - 1/2*z**2 - 3/2*z**3 - z**j + 0*z.
-z**2*(z + 1)*(2*z + 1)/2
Let t(s) be the third derivative of -s**7/210 - 2*s**6/45 - 2*s**5/15 - 7*s**3/6 + 9*s**2. Let q(z) be the first derivative of t(z). Find h such that q(h) = 0.
-2, 0
Factor 1/3*y**2 + 1/3*y - 2/3.
(y - 1)*(y + 2)/3
Suppose -4 = 2*a + 4, 0 = 2*p - 4*a - 18. Let m be p - (0 - 11/5). Factor 24/5*k + m + 12/5*k**2 + 2/5*k**3.
2*(k + 2)**3/5
Let r(o) be the third derivative of -3*o**2 - 1/3*o**3 + 0*o - 21/20*o**5 + 0 - 27/40*o**6 - 19/24*o**4 - 9/70*o**7. Factor r(f).
-(f + 2)*(3*f + 1)**3
Factor -1/4*h**2 + 0*h + 0 + 1/4*h**4 + 0*h**3.
h**2*(h - 1)*(h + 1)/4
Let q(i) = -25*i**2 - 40*i + 40. Let a(z) = 13*z**2 + 20*z - 20. Let n(d) = -5*a(d) - 2*q(d). Factor n(j).
-5*(j + 2)*(3*j - 2)
Let p be (1/(-3))/((-135)/81). Factor -1/5*s**2 + 0 - p*s.
-s*(s + 1)/5
Let s(j) be the third derivative of 2*j**7/175 - j**6/200 + 8*j**2. Factor s(n).
3*n**3*(4*n - 1)/5
Let k(f) be the third derivative of 0*f + 0 + 1/70*f**5 + 1/420*f**6 + 1/42*f**4 - f**2 + 0*f**3. Determine i so that k(i) = 0.
-2, -1, 0
Let f = -546 - -4922/9. Factor 8/3*j**2 - 14/9*j**3 + 0 + f*j.
-2*j*(j - 2)*(7*j + 2)/9
Let a = -81/2 - -571/14. Solve -6/7*n**2 + 6/7*n**3 - a*n**4 + 0 + 2/7*n = 0 for n.
0, 1
Let u(x) = -10*x**4 + 64*x**3 + 96*x**2 - 16*x + 16. Let b(r) = 3*r**4 - 21*r**3 - 32*r**2 + 5*r - 5. Let y(k) = 16*b(k) + 5*u(k). Factor y(a).
-2*a**2*(a + 4)**2
Suppose 2*q = -2*q + 12. Solve q*v**2 - 4*v**3 + 5*v**3 - 2*v**2 = 0.
-1, 0
Let o = 6/7 + 33/35. Let q = o + -31/20. Factor -1/4*w**3 - 1/4*w**2 + q*w**4 + 1/4*w + 0.
w*(w - 1)**2*(w + 1)/4
Factor 8*r**2 - 4/7*r**3 + 288/7 - 240/7*r.
-4*(r - 6)**2*(r - 2)/7
Let g(l) be the first derivative of 9*l**5/35 + 3*l**4/2 + 19*l**3/7 + 6*l**2/7 - 12*l/7 - 1. What is b in g(b) = 0?
-2, -1, 1/3
Suppose -5*t + 3*z = 4*z + 20, 2*t + 3*z = 5. Let m(x) = x + 7. Let n be m(t). Factor -16/7*j + 32/7*j**n + 2/7.
2*(4*j - 1)**2/7
Suppose -k - i + 4 = 2, -28 = -5*k + 4*i. What is c in 15 - c**3 - k*c - c + 4*c**2 - 13 = 0?
1, 2
Let j be 1/((-8)/3 - -3). Factor 2 - 2 - m**j - 3*m**2 + 4*m**3.
3*m**2*(m - 1)
Let j(i) be the third derivative of -i**8/1176 + 2*i**7/245 - 13*i**6/420 + 2*i**5/35 - i**4/21 - 8*i**2. Factor j(q).
-2*q*(q - 2)**2*(q - 1)**2/7
Let y(m) be the second derivative of 5*m**7/168 + m**6/10 + 9*m**5/80 + m**4/24 + 9*m. Factor y(t).
t**2*(t + 1)**2*(5*t + 2)/4
Let 18/5*p**2 + 34/5*p + 6/5 - 2*p**3 = 0. Calculate p.
-1, -1/5, 3
Let r(o) be the third derivative of -o**7/840 + o**6/60 - 3*o**5/40 + o**4/12 + 2*o**2. Let m(h) be the second derivative of r(h). Suppose m(s) = 0. What is s?
1, 3
Let j(h) be the first derivative of -h**6/15 + 6*h**5/25 + 3*h**4/5 - 4*h**3/3 - 21*h**2/5 - 18*h/5 + 8. Factor j(a).
-2*(a - 3)**2*(a + 1)**3/5
Let c = -565/21 + 16363/840. Let g = -53/8 - c. Factor 0*s**3 + 2/5*s**4 - g*s**2 + 0*s + 2/5.
2*(s - 1)**2*(s + 1)**2/5
Let x(g) = 5*g**2 - 5*g + 6. Let o(h) = 6*h**2 - 6*h + 7. Let w(z) = 6*o(z) - 7*x(z). Factor w(m).
m*(m - 1)
Let w(u) be the second derivative of u**9/52920 + u**8/23520 - u**7/8820 - u**6/2520 + u**4/4 + 5*u. Let j(f) be the third derivative of w(f). Factor j(s).
2*s*(s - 1)*(s + 1)**2/7
Let z = 829 + -829. What is l in -11/5*l**2 + 2/5*l + z = 0?
0, 2/11
Factor 0*s**3 + 34*s + 2 - 3*s**3 - s**4 - s**2 - 31*s.
-(s - 1)*(s + 1)**2*(s + 2)
Let u(d) be the first derivative of d**3/21 - d**2/14 - 2*d/7 - 19. Suppose u(j) = 0. Calculate j.
-1, 2
Factor -4*w + 1/3 + 12*w**2.
(6*w - 1)**2/3
Let g(f) be the second derivative of -f**5/45 + 8*f**4/9 - 128*f**3/9 + 1024*f**2/9 + 27*f. Factor g(t).
-4*(t - 8)**3/9
Let d be 2 - (8 + 320/(-45)). Factor -d*h**3 + 4/9 - 2/9*h - 16/9*h**2.
-2*(h + 1)**2*(5*h - 2)/9
Let n(a) = -a**2 + 9*a + 3. Let o be n(9). Solve 8 - 46*v**4 - 5 + 7*v + 2*v**2 - v**5 - 6*v**o + 41*v**4 = 0.
-3, -1, 1
Solve 5 + 0*b**3 + 7 - 4 - 6*b**2 + 2*b**3 = 0 for b.
-1, 2
Let b be (-3)/9*(-2 - -2). Suppose 4*z = 0, 3*x - 6 = 4*z - b*z. Factor -1 - i**2 + i**3 + 2*i + i + 0*i - x*i**2.
(i - 1)**3
Let s(u) be the third derivative of 7*u**5/300 + u**4/60 - 9*u**2. Suppose s(g) = 0. What is g?
-2/7, 0
Let k(j) be the second derivative of -1/10*j**5 + 0*j**3 + 0*j**2 + 0*j**4 + 0 + j. Suppose k(r) = 0. Calculate r.
0
Factor 3*a**2 + a + a**2 + 0*a**2 - 5*a**2.
-a*(a - 1)
Let a(u) be the first derivative of 11*u**4/6 + 4*u**3/9 + 3. Let a(g) = 0. What is g?
-2/11, 0
Let x(o) = o**4 + o**3 + o**2 + o - 1. Let q(v) = 34*v**4 - 30*v**3 - 14*v**2 + 42*v - 14. Let m(h) = q(h) - 6*x(h). Factor m(w).
4*(w - 1)**2*(w + 1)*(7*w - 2)
Let n = 3/109 + 297/1090. Let c(o) be the first derivative of -2/15*o**3 - 3 - 2/5*o**2 + 0*o + 2/25*o**5 - 1/15*o**6 + n*o**4. Solve c(r) = 0 for r.
-1, 0, 1, 2
Find y such that 0*y**4 + 0*y**2 + 0*y + 0 - 1/4*y**3 + 1/4*y**5 = 0.
-1, 0, 1
Let x(q) = q**4 - q**3 - 1. Let r(v) = -2*v**4 - 10*v**3 - 4*v**2 - 2. Let t(h) = r(h) - 2*x(h). Factor t(l).
-4*l**2*(l + 1)**2
Factor 0 - 11/2*s - 1/2*s**2.
-s*(s + 11)/2
Factor 2/11 + 4/11*y**2 - 6/11*y.
2*(y - 1)*(2*y - 1)/11
Let a = -1971/4 + 493. Factor 1/2 - a*w - 1/4*w**2.
-(w - 1)*(w + 2)/4
Suppose 3*p = -2*p + 15. Let v(j) be the second derivative of 2*j - 1/6*j**2 + 1/9*j**p - 1/36*j**4 + 0. Factor v(d).
-(d - 1)**2/3
Let f be 3/7 + 3/(-7). Let w(k) be the third derivative of 0 - 1/120*k**5 + 0*k**4 - 1/240*k**6 + 2*k**2 + 0*k + f*k**3. Find g, given that w(g) = 0.
-1, 0
Let