 derivative of 2*t**3/3 - t**2 + 3. Factor q(v).
2*v*(v - 1)
Solve -2*v**4 + 0 - 2/3*v**2 + 2*v**3 + 0*v + 2/3*v**5 = 0.
0, 1
Determine l, given that l**2 - 3 + 3*l + 4*l - 9*l + 0*l = 0.
-1, 3
Suppose 0 - 1/4*m + 1/4*m**2 = 0. What is m?
0, 1
Let b be 116/29 - (-1)/(14/(-52)). Suppose 1/7*a + b*a**2 + 1/7*a**3 + 0 = 0. Calculate a.
-1, 0
Suppose 2*t + j = -t - 2, 4*t + j = -2. Suppose 0 = n - t*n. Solve a**2 - 1 + n*a**2 + a - 1 = 0.
-2, 1
Let b(m) be the second derivative of -m**5/5 + 3*m**4/4 - m**3/2 - 5*m**2/2 + m. Let p(n) = -n**3 + n**2 + 1. Let i(c) = -b(c) - 3*p(c). Factor i(s).
(s - 1)**2*(7*s + 2)
Suppose -4*w = -5*w + 13. Suppose 3*g - 5*y = 2, -2*g + 0*y + y = -w. Factor 4*h**3 - 27/2 + 1/2*h**4 + 0*h + g*h**2.
(h - 1)*(h + 3)**3/2
Let n(k) be the third derivative of -k**7/280 + k**6/32 - 9*k**5/80 + 7*k**4/32 - k**3/4 - k**2. Factor n(d).
-3*(d - 2)*(d - 1)**3/4
Let k(t) be the second derivative of t**4/20 - 2*t**3/5 + 9*t**2/10 + 21*t. Factor k(n).
3*(n - 3)*(n - 1)/5
Let w(k) be the first derivative of 3*k**5/25 - 3*k**3/5 + 3*k**2/5 + 35. Factor w(p).
3*p*(p - 1)**2*(p + 2)/5
Let 4/9*p**5 - 2/3*p**3 - 2/9*p**4 + 0 + 2/9*p + 2/9*p**2 = 0. Calculate p.
-1, -1/2, 0, 1
Let h be (0 - 1) + 3 + -3. Let z be (-75)/(-84) - h/4. Factor -z*q + 2/7 + 2/7*q**4 - 8/7*q**3 + 12/7*q**2.
2*(q - 1)**4/7
Suppose 3*q - 10 = 2. Suppose -3*x - 5*h + 1 = 4, q*x = -5*h + 1. Factor 3*z + 2*z - 3*z + 0*z**2 + 6*z**2 + 6*z**3 + 2*z**x.
2*z*(z + 1)**3
Let f(c) = -c**4 - 6*c**3 + 13*c**2 + 6*c - 17. Let t(d) = -2*d**4 - 9*d**3 + 20*d**2 + 9*d - 25. Let l(n) = 7*f(n) - 5*t(n). Factor l(z).
3*(z - 1)**2*(z + 1)*(z + 2)
Let h(c) be the third derivative of 2*c**7/105 - c**6/15 + 3*c**5/40 - c**4/24 - c**3/2 + 3*c**2. Let f(b) be the first derivative of h(b). Factor f(q).
(q - 1)*(4*q - 1)**2
Let v(p) = -p**3 - p**2 - p. Let y(t) = -3*t**3 - 6*t**2 - 5*t + 2. Let j(m) = -4*v(m) + y(m). Factor j(d).
(d - 2)*(d - 1)*(d + 1)
Let i(m) be the third derivative of m**8/672 - m**7/84 + m**6/24 - m**5/12 + 5*m**4/48 - m**3/12 + 5*m**2. Factor i(j).
(j - 1)**5/2
Let n(s) be the second derivative of -s**5/5 + 2*s**4/3 - 2*s**3/3 - 31*s. Factor n(d).
-4*d*(d - 1)**2
Let k be 126/147*(-7)/(-2). Factor 2*q**4 + q**2 + k*q**2 + 4*q**3 - 6*q**4 - 4*q.
-4*q*(q - 1)**2*(q + 1)
Let w(i) = 3*i**2 - 2*i + 1. Let f be w(1). Suppose 0*v + 15 = 3*v - 2*y, -9 = -5*v - f*y. Factor 0*q - 2/9*q**v + 2/9*q**5 + 2/9*q**4 + 0 - 2/9*q**2.
2*q**2*(q - 1)*(q + 1)**2/9
Let q be 2/6 - (-56)/12. Let i(m) = m**2 - 6*m + 7. Let z be i(q). Factor -4*r**3 - 7*r**4 - 3*r**4 + 4*r**4 - 4*r**3 - z*r**2.
-2*r**2*(r + 1)*(3*r + 1)
Let a = 204 + -198. Determine j, given that a*j + 24*j**4 + 4 - 21*j**2 - 43/2*j**3 + 45/2*j**5 = 0.
-1, -2/5, 2/3
Let t(n) = n**2 - 3*n - 15. Let y be t(-3). Factor 0 + 2/5*f**2 - 2/5*f**4 - 2/5*f**y + 2/5*f.
-2*f*(f - 1)*(f + 1)**2/5
Let f(i) be the third derivative of -1/240*i**6 + 0*i**3 + 3*i**2 + 1/24*i**4 + 0*i + 1/120*i**5 + 0. Factor f(h).
-h*(h - 2)*(h + 1)/2
Let c(b) = -b**3 + 15*b**2 - 15*b + 1. Let u(l) = -l**3 + 31*l**2 - 31*l + 1. Let a(g) = 7*c(g) - 3*u(g). Find n, given that a(n) = 0.
1
Find a such that 2/11*a**2 - 52/11*a + 338/11 = 0.
13
Let i(r) = -33*r - 228. Let m be i(-7). Find a, given that -5*a**2 - a**4 + 11/3*a**3 + m*a - 2/3 = 0.
2/3, 1
Let r = -233/35 + 34/5. Let w(k) be the second derivative of 0 + 5/42*k**4 + 4/21*k**3 + 3*k - r*k**2. Factor w(l).
2*(l + 1)*(5*l - 1)/7
Let o be (3/(-14))/(12/(-14)). Suppose -1/4*t**3 - o*t**2 + 1/4 + 1/4*t = 0. Calculate t.
-1, 1
Let j(w) be the second derivative of -3*w**5/200 + w**4/30 + w**3/60 - w**2/10 + 8*w. Find u, given that j(u) = 0.
-2/3, 1
Let d = -468/7 + 2382/35. Let 2/5*u**3 + 0 - 2/5*u - 6/5*u**4 + d*u**2 = 0. What is u?
-1, 0, 1/3, 1
Let y(u) = -u + 11. Let j be y(9). Let 0*r**3 - j*r**3 - 50*r**5 + 3*r**4 + 3*r**4 + 4*r - 6*r**2 + 48*r**5 = 0. What is r?
-1, 0, 1, 2
Suppose -4*w + h + 24 = 0, -w + 4*h + 17 = h. Let t(v) be the third derivative of -1/3*v**3 + 3*v**2 + 0*v + 1/12*v**4 - 1/60*v**6 + 1/30*v**w + 0. Factor t(j).
-2*(j - 1)**2*(j + 1)
Let q(m) = -2*m**4 - m**3 - 2*m**2 - 5*m + 5. Let f(b) = b**4 + b**3 + b**2 + 3*b - 3. Let v(u) = -10*f(u) - 6*q(u). Factor v(n).
2*n**2*(n - 1)**2
Let t(q) be the first derivative of 3 - 1/3*q**2 - 1/9*q**3 + 1/3*q + 1/6*q**4. Let t(z) = 0. What is z?
-1, 1/2, 1
Let l = -117/20 + 47/8. Let k(u) be the second derivative of 1/24*u**4 + 0*u**3 - l*u**5 - 3*u + 0*u**2 + 0. Suppose k(f) = 0. What is f?
0, 1
Let f(a) be the second derivative of -a**7/28 + 3*a**5/10 - a**4/4 - 3*a**3/4 + 3*a**2/2 + 37*a. Let f(z) = 0. Calculate z.
-2, -1, 1
Let m(j) be the first derivative of 1/4*j**2 - 3 + 1/12*j**3 + 1/4*j. Factor m(x).
(x + 1)**2/4
Let k(h) be the second derivative of -h**4/3 - 2*h**3 + 8*h**2 + 11*h. Factor k(w).
-4*(w - 1)*(w + 4)
Let p(o) = 2*o**2 - 8*o + 18 - 11*o**2 - 9*o. Let x(l) = -3*l**2 - 6*l + 6. Let m(w) = 3*p(w) - 8*x(w). Factor m(j).
-3*(j - 1)*(j + 2)
Let r(s) be the second derivative of s**6/1620 + s**5/270 + s**3/6 + 3*s. Let k(j) be the second derivative of r(j). Factor k(m).
2*m*(m + 2)/9
Let y(a) = -a**3 + 1. Let u(w) = 16*w**3 + w - 12. Let h(t) = -24*t**3 - 2*t + 18. Let r(n) = 5*h(n) + 8*u(n). Let j(v) = r(v) + 6*y(v). Factor j(g).
2*g*(g - 1)*(g + 1)
Factor -2*a - 5*a**2 + 2*a - 20*a**3 + 15*a**3.
-5*a**2*(a + 1)
Suppose 2*i = 3 + 5. Suppose -2*w = -4*n + w, 2*n = -i*w + 22. Determine t, given that -2/3 + 1/3*t**n - t + 0*t**2 = 0.
-1, 2
Factor 0*p**2 + 1/8*p**3 + 0 - 1/8*p.
p*(p - 1)*(p + 1)/8
Factor 0 - 3/5*k**3 - 6/5*k - 9/5*k**2.
-3*k*(k + 1)*(k + 2)/5
Let l(f) be the first derivative of -f**4/2 - 2*f**3 - 3*f**2 - 2*f + 5. Find o, given that l(o) = 0.
-1
Factor 1/6*a - 1/6*a**3 + 1/6 - 1/6*a**2.
-(a - 1)*(a + 1)**2/6
Let x(w) be the first derivative of -w**6/3 + 2*w**5/5 + w**4/2 - 2*w**3/3 + 4. Factor x(r).
-2*r**2*(r - 1)**2*(r + 1)
Find l such that 0*l**3 + 0 + 2/5*l**2 + 1/5*l**5 - 1/5*l - 2/5*l**4 = 0.
-1, 0, 1
Factor -4*u**4 + 3*u**2 + 99 + 5*u**2 - 103.
-4*(u - 1)**2*(u + 1)**2
Let b = 30 + -28. Let p(c) be the second derivative of -1/25*c**5 + 1/10*c**4 - 2*c + 1/10*c**b + 0 - 2/15*c**3 + 1/150*c**6. Let p(v) = 0. Calculate v.
1
Let l(u) be the second derivative of u**7/168 + u**6/120 - 12*u. Factor l(s).
s**4*(s + 1)/4
Let u = 2 + 0. Suppose 12 = 2*o + 2*m - u, 4*o = 4*m + 12. Let -2*b**5 + 3*b**3 - 5*b**4 + o*b**5 - b**4 = 0. Calculate b.
0, 1
Let f be 36/(-135)*6/(-4). Suppose 0*r**3 + f*r**4 + 0 - 6/5*r**2 + 4/5*r = 0. What is r?
-2, 0, 1
Let j be ((-10)/(-3))/1 - 2. Let q be (4 + (-30)/9)*7. Factor -10/3*p - q*p**2 + j.
-2*(p + 1)*(7*p - 2)/3
Let r(d) = 2*d**3 + 42*d**2 + 2*d + 44. Let q be r(-21). Find f, given that 1/4*f**q - f + 3/4 = 0.
1, 3
Let n(l) be the second derivative of 0*l**2 - 1/36*l**4 - 1/9*l**3 + 6*l + 0. Let n(a) = 0. Calculate a.
-2, 0
Let v(o) be the third derivative of o**8/4200 + o**7/525 + o**6/150 + o**5/75 + o**4/60 - o**3/2 - o**2. Let s(w) be the first derivative of v(w). Factor s(l).
2*(l + 1)**4/5
Let z(h) be the second derivative of 1/6*h**3 + 0 + 1/24*h**4 + 1/4*h**2 - 9*h. Factor z(b).
(b + 1)**2/2
Let a(g) be the third derivative of -g**7/42 - g**6/8 - g**5/12 + 5*g**4/8 + 5*g**3/3 + 6*g**2. Factor a(n).
-5*(n - 1)*(n + 1)**2*(n + 2)
Suppose -2*x - x = 0. Suppose x = 5*l + 2*q + 6, l - 6 = -3*l + 2*q. Let 1/4*k**4 + 3/4*k**3 + 1/4*k + 3/4*k**2 + l = 0. What is k?
-1, 0
Suppose -14*n + 15*n = 0. Factor -8/5*r**3 - 2/5*r**2 - 6/5*r**4 + 0 + n*r.
-2*r**2*(r + 1)*(3*r + 1)/5
Let g(v) be the third derivative of v**6/120 - v**5/20 + v**4/8 + 2*v**3/3 + 2*v**2. Let y(h) be the first derivative of g(h). Determine z, given that y(z) = 0.
1
Let i(x) = x**3 - 4*x**2 - x + 6. Let d be i(4). Factor 8/3*f**2 + 2/3*f - d*f**3 - 4/3.
-2*(f - 1)**2*(3*f + 2)/3
Let a(u) = -9*u**3 - 6*u**2 + 18*u + 24. Let i(g) = 8*g**3 + 6*g**2 - 17*g - 24. Let x(n) = -5*a(n) - 6*i(n). Factor x(r).
-3*(r - 2)*(r + 2)**2
Let g = -2 + 9. Factor 213 + g*n - 3*n - 213 + 2*n**3 + 6*n**2.
2*n*(n + 1)*(n + 2)
Factor 3 + 5*h**3 - 2*h**3 + 3*h**4 - 3*h + h**3 + 2*h**3 - 6*h**2 - 3*h**5.
-3*(h - 1)**3*(h + 1)**2
Let -3*o**4 - 261*o**2 + 0*o**4 - 6*o + 270*o**2 = 0. Calculate o.
-2, 0, 1
Suppose -7*y + 2*y + 20 = 0. Factor -3 