Let j(l) be the third derivative of n(l). Factor j(f).
-f**2*(f + 1)**3/4
Let v(t) = 14 - 5*t**2 - 7*t - 4*t + 4*t**2. Let q be v(-12). Factor 1/4*j**q + 0 - 1/2*j.
j*(j - 2)/4
Let d(x) be the first derivative of 2*x**4/7 - 34*x**3/21 + 20*x**2/7 - 8*x/7 - 5. Factor d(o).
2*(o - 2)**2*(4*o - 1)/7
Let r be 234/14 - (-4)/14. Solve 9*d - 17 + r - 3*d**2 = 0 for d.
0, 3
Let y be (((-35)/(-7))/(-90))/(20/(-6)). Let d(c) be the third derivative of 0 + 1/150*c**5 + 0*c + 0*c**3 - 4*c**2 - y*c**4. Determine s so that d(s) = 0.
0, 1
Let f(w) be the second derivative of 0 + 1/15*w**4 - 2/5*w**2 + 1/15*w**3 - w - 1/50*w**5. Suppose f(u) = 0. Calculate u.
-1, 1, 2
Let l(v) = 3*v - 7. Let d be l(5). Solve 8 + 0*a + a**2 + 0*a + d*a + a**2 = 0.
-2
Let o be (1/(-2))/(3/(-12)). Suppose -d + 3*d + 17 = 5*c, -3*d - 5*c + 37 = 0. What is z in 3/5*z**5 - z**o + 0 - 2/5*z - 1/5*z**3 + z**d = 0?
-1, -2/3, 0, 1
Let l(g) be the first derivative of g**3/12 + g**2/4 + g/4 + 3. Determine f, given that l(f) = 0.
-1
Suppose 4/3*v**2 + 2/3*v**5 - 2/3*v + 0 - 4/3*v**4 + 0*v**3 = 0. Calculate v.
-1, 0, 1
Let n(b) be the first derivative of b**5/15 - 2*b**3/9 + b/3 + 27. Suppose n(a) = 0. What is a?
-1, 1
Let r(v) be the first derivative of -3*v**4/28 - v**3/7 + 15*v**2/14 - 9*v/7 + 13. Factor r(i).
-3*(i - 1)**2*(i + 3)/7
Let x(r) be the second derivative of -r**4/4 - 2*r**3 - 4*r. Factor x(a).
-3*a*(a + 4)
Let r(i) be the second derivative of i**6/225 - i**4/30 + 2*i**3/45 + 32*i. Factor r(x).
2*x*(x - 1)**2*(x + 2)/15
Let l = -13 - -79. Let f = l - 592/9. Factor 0 + 2/9*s**3 + 4/9*s**4 - f*s**2 + 0*s.
2*s**2*(s + 1)*(2*s - 1)/9
Let q be (87/(-36))/((-2)/4). Let j = q + -13/3. Determine w, given that 0*w + w**2 - j*w**3 + 0 = 0.
0, 2
Let n(y) be the third derivative of -3*y**7/490 - y**6/280 + 3*y**5/140 + y**4/56 + 8*y**2. Determine b, given that n(b) = 0.
-1, -1/3, 0, 1
Let a(z) be the third derivative of -z**8/3360 + z**7/420 - z**4/6 - 4*z**2. Let y(u) be the second derivative of a(u). Let y(k) = 0. What is k?
0, 3
Let p(o) be the first derivative of 5*o**4/4 - 10*o**3/3 - 5*o**2/2 + 10*o + 11. Solve p(x) = 0 for x.
-1, 1, 2
Let z(g) = -g**3 + 6*g**2 - g + 8. Let h be z(6). Let a(v) be the first derivative of 0*v - v**h - 2/3*v**3 + 2. Suppose a(x) = 0. What is x?
-1, 0
Let m(q) be the first derivative of 1/30*q**4 + 3/2*q**2 + 0*q + 2 + 0*q**3 - 1/150*q**5. Let l(h) be the second derivative of m(h). Factor l(f).
-2*f*(f - 2)/5
Let s(r) be the third derivative of -r**8/1680 - r**7/1050 + r**6/100 + 7*r**5/150 + 11*r**4/120 + r**3/10 - 6*r**2. Determine i, given that s(i) = 0.
-1, 3
Let p(w) be the second derivative of -w**7/3780 + w**6/810 - w**5/540 + 2*w**3/3 + w. Let q(a) be the second derivative of p(a). Factor q(f).
-2*f*(f - 1)**2/9
Let w(d) = -23*d**2 - 12*d - 23. Let x = 17 + -6. Let j(z) = -4*z + 3*z**2 - x*z**2 + 2 - 10. Let k(p) = 17*j(p) - 6*w(p). Let k(g) = 0. What is g?
-1
Suppose 1/7*b**2 - 6/7 + 1/7*b = 0. What is b?
-3, 2
Factor -60*n**3 + 21*n + 3*n + 45*n**4 - 22*n**2 + 8 - 28*n**4 + 33*n**4.
2*(n - 1)**2*(5*n + 2)**2
Let n be (-2*3)/(2 + -3). Suppose -u - n*f + f + 2 = 0, -3*u = -f - 6. Suppose 1/4*x**u + 0 + 0*x = 0. What is x?
0
Factor 4*f**2 + 4*f + 2*f**2 + 7*f**3 - 5*f**3.
2*f*(f + 1)*(f + 2)
Factor 1/4*r - 3/4*r**2 + 3/4 - 1/4*r**3.
-(r - 1)*(r + 1)*(r + 3)/4
Let h = -2/11 - -28/33. Let z(f) be the first derivative of -h*f**3 + 0*f**2 + 0*f - 1. Factor z(y).
-2*y**2
Let k(u) = 3*u**2 + 1. Let l(v) = -2*v**2 - 1. Let n be -2*(6*1)/(-3). Let x = n - 7. Let f(y) = x*k(y) - 4*l(y). Factor f(g).
-(g - 1)*(g + 1)
Let r be (-3)/6 - 7/(-2). Suppose 3*p - 7 + 19 = -r*z, 0 = 2*p - 3*z - 12. Let p - 4/9*v - 2*v**2 + 38/9*v**4 + 0*v**3 + 8/3*v**5 = 0. What is v?
-1, -1/4, 0, 2/3
Factor 5*a**4 + a**2 - 6*a + 3*a - 5*a + 6*a + 8*a**3.
a*(a + 1)**2*(5*a - 2)
Factor 0 + 0*q + 4/7*q**2 + 4/7*q**3 - 4/7*q**4 - 4/7*q**5.
-4*q**2*(q - 1)*(q + 1)**2/7
Let g(z) be the second derivative of -z**5/20 - z**4/3 - 5*z**3/6 - 2*z. Let l(v) = -15*v**3 - 63*v**2 - 81*v. Let b(h) = -33*g(h) + 2*l(h). Factor b(y).
3*y*(y + 1)**2
Let v(n) = -6*n**2 + 6*n - 9. Let d(m) = -5*m**2 + 6*m - 9. Let r(c) = 5*d(c) - 4*v(c). Factor r(g).
-(g - 3)**2
Let u(l) be the first derivative of l**9/3024 + l**8/1680 - l**7/420 + l**3/3 + 3. Let p(c) be the third derivative of u(c). Factor p(d).
d**3*(d - 1)*(d + 2)
Let o(h) be the first derivative of -h**5/50 - 4*h**4/15 - 16*h**3/15 + 8*h - 4. Let w(g) be the first derivative of o(g). Find p, given that w(p) = 0.
-4, 0
Factor 4*a**2 - 7*a + a + 9 - 6*a.
(2*a - 3)**2
Let d be ((-4)/(-6))/(4 + (-102)/27). Let x = 2/3663 + 85468/3663. Let 21*g**4 - 8/3 + x*g**2 + 4/3*g - 43*g**d = 0. What is g?
-2/7, 2/3, 1
Let a be (1449/78)/7 - (-4)/(-26). Factor 8*d**4 - d**2 + 0*d - a*d**3 + 0 - 9/2*d**5.
-d**2*(d - 1)**2*(9*d + 2)/2
Let s(t) = -t**3 + 20*t**2 + 22*t - 17. Let x be s(21). Let i(r) be the first derivative of -1/6*r**2 + x + 0*r + 0*r**3 + 1/12*r**4. Factor i(y).
y*(y - 1)*(y + 1)/3
Suppose -16*w = -19*w + 6. Factor -6/7*h**w + 18/7*h**3 - 2/7 - 10/7*h.
2*(h - 1)*(3*h + 1)**2/7
Let y(s) be the third derivative of 2*s**3 + 0*s + 1/80*s**5 - 5*s**2 + 1/4*s**4 + 0. Factor y(i).
3*(i + 4)**2/4
Factor 2/9*u**4 - 88/9*u - 10/3 - 28/3*u**2 - 8/3*u**3.
2*(u - 15)*(u + 1)**3/9
Let i(f) be the second derivative of 3*f - 1/210*f**7 + 0*f**2 + 0*f**6 - 1/30*f**3 + 0*f**4 + 0 + 1/50*f**5. Factor i(j).
-j*(j - 1)**2*(j + 1)**2/5
Factor -4*o**2 - 47 + 32*o - 34 + 17.
-4*(o - 4)**2
Let o(w) be the third derivative of w**5/60 - w**4/4 - 2*w**3/3 - 3*w**2. Let l be o(7). Solve -2/7*q**4 + 0*q + 2/7*q**2 + 0 + 0*q**l = 0 for q.
-1, 0, 1
Let d(h) = -h**5 + 2*h**4 + 4*h**3 - 6*h**2 + h + 4. Let m(t) = -3*t**5 + 3*t**4 + 9*t**3 - 12*t**2 + 3*t + 9. Let q(w) = -9*d(w) + 4*m(w). Factor q(z).
-3*z*(z - 1)*(z + 1)**3
Let w(a) be the second derivative of 0*a**3 + 1/12*a**4 + 3*a + 0 + 0*a**2. Solve w(m) = 0 for m.
0
Let z(y) be the second derivative of y**7/280 - y**6/120 - y**5/40 + y**4/8 - y**3/2 - 2*y. Let i(d) be the second derivative of z(d). Factor i(x).
3*(x - 1)**2*(x + 1)
Let q(b) be the second derivative of -2*b**7/21 - 4*b**6/15 + 2*b**5/5 + 4*b**4/3 - 2*b**3/3 - 4*b**2 + 3*b. Suppose q(w) = 0. What is w?
-2, -1, 1
Let y(g) = g**2 + 5*g + 3. Let k = 1 - 6. Let j be y(k). Factor 4/7*d**2 + 2/7*d**j + 0 + 2/7*d.
2*d*(d + 1)**2/7
Determine w, given that -13/12*w**3 - 1/6*w**5 - 1/6 + 5/12*w**2 + 1/4*w + 3/4*w**4 = 0.
-1/2, 1, 2
Let q(l) be the third derivative of l**8/560 + 2*l**7/175 + 3*l**6/200 - l**5/25 - l**4/10 + 2*l**2. Suppose q(p) = 0. Calculate p.
-2, -1, 0, 1
Let s(g) be the first derivative of -9*g**5/10 + 15*g**4/8 - 7*g**3/6 + g**2/4 - 3. Solve s(m) = 0.
0, 1/3, 1
Let r(v) be the first derivative of -2*v**3/15 - 13*v**2/10 + 7*v/5 - 24. Factor r(c).
-(c + 7)*(2*c - 1)/5
Solve 6*j**2 + 2*j**3 + 9*j**2 - 13*j**2 - 10*j + 6 = 0 for j.
-3, 1
Find i such that 4/5*i**4 + 0*i**2 + 1/5*i**3 + 0*i + 0 = 0.
-1/4, 0
Let r be (-21)/(-36)*12/56. Let v(m) be the second derivative of -1/12*m**3 - 1/30*m**6 - m - r*m**4 + 1/4*m**2 + 1/8*m**5 + 0. Suppose v(p) = 0. Calculate p.
-1/2, 1
Factor 0 - 1/2*q**3 + 0*q - 1/2*q**2.
-q**2*(q + 1)/2
Let b = -6773/9 - -753. Find y, given that b*y**4 + 0 - 2/3*y**3 + 0*y + 2/9*y**2 = 0.
0, 1/2, 1
Let g be (7/63)/((-1)/(-6)). Let 0 + 0*p - g*p**2 = 0. What is p?
0
Let q(x) be the third derivative of -x**5/270 + x**4/27 - x**3/9 + 8*x**2. Factor q(d).
-2*(d - 3)*(d - 1)/9
Factor -4/7*k**4 + 0 + 0*k**2 - 2/7*k**5 + 0*k + 0*k**3.
-2*k**4*(k + 2)/7
Let d(m) be the third derivative of -1/9*m**3 - 1/72*m**4 + 0*m - m**2 + 1/180*m**5 + 0. Determine t so that d(t) = 0.
-1, 2
Let b(f) be the third derivative of -f**6/120 + f**5/15 + f**3/3 - f**2. Let o be b(4). Factor 0 - 2/7*c + 0*c**o + 2/7*c**3.
2*c*(c - 1)*(c + 1)/7
Factor 136*u**2 + 2*u - 138*u**2 + 1 + 3.
-2*(u - 2)*(u + 1)
Suppose 7*s + 1534 = 1555. Factor -2/7 - 2/7*p**s - 6/7*p - 6/7*p**2.
-2*(p + 1)**3/7
Suppose -i = -4 - 2. Find r such that -5*r + 3*r**3 - i*r**2 - 2 + 2*r**2 - 2*r**3 - 2*r**3 = 0.
-2, -1
Let s be (0 - (3 - 9)) + 3. Let v = 12 - s. Determine w so that 0*w + 3/2*w**v - 3/2*w**5 - w**4 + 0 + w**2 = 0.
-1, -2/3, 0, 1
Solve -1/4*t**4 + 1/4*t**3 - 5/4*t + 3/4*t