 15*z**3 = 0.
-1, -1/3, 0
Let p(u) = 0*u**2 + u**2 - 4*u**2 + u**2 - 6*u. Let d(m) = -m**2. Let q(a) = 10*d(a) - p(a). Factor q(g).
-2*g*(4*g - 3)
Let x(n) be the third derivative of 1/42*n**7 - 1/15*n**5 + 1/15*n**6 + 0*n**3 + 0*n - 4*n**2 + 0 + 0*n**4. Factor x(q).
q**2*(q + 2)*(5*q - 2)
Let k(m) be the first derivative of m**4/2 + 8*m**3/3 + 5*m**2 + 4*m - 35. Factor k(p).
2*(p + 1)**2*(p + 2)
Let s(k) be the second derivative of -k**9/756 - k**8/105 - 2*k**7/105 + 7*k**3/6 - 3*k. Let q(b) be the second derivative of s(b). Factor q(f).
-4*f**3*(f + 2)**2
Factor -2/5 - 2/5*i**2 + 4/5*i.
-2*(i - 1)**2/5
Determine l, given that -1/4*l - 1/4*l**3 + 0 - 1/2*l**2 = 0.
-1, 0
Let x(m) = -m**4 + m**3 - m**2 - m. Let t(k) = -8*k**4 - 11*k**2 - 16*k + 6*k - 6*k**2 + 3*k**2 + 10*k**3 + 2. Let w(b) = t(b) - 10*x(b). Factor w(d).
2*(d - 1)**2*(d + 1)**2
Suppose -4*n = 4*l - 20, 4*l - 3*n + 0 = 6. Factor -11*d**3 + d**2 - 3*d**4 + 3*d + d**2 + 3*d**5 + 4*d**2 + 5*d**l - 3.
3*(d - 1)**3*(d + 1)**2
Suppose 3*v = 2 + 7. Find f such that -3*f**2 - 3*f**2 + v*f**2 = 0.
0
Let c = 10 - 5. Factor -c*o + 5*o + o + o**2.
o*(o + 1)
Factor 86*u + 15*u**3 + 40 - 65*u**2 - 41*u - 35*u.
5*(u - 4)*(u - 1)*(3*u + 2)
Let g(n) be the first derivative of -1/3*n**3 + n**2 + 0*n - 7. Solve g(s) = 0 for s.
0, 2
Let l = -7 + 11. Let p(a) be the third derivative of -1/90*a**5 + 0 + 1/360*a**6 + a**2 + 1/72*a**l + 0*a**3 + 0*a. Solve p(m) = 0.
0, 1
Let a(v) be the third derivative of -v**11/166320 + v**10/75600 - v**5/60 - 3*v**2. Let g(r) be the third derivative of a(r). Factor g(b).
-2*b**4*(b - 1)
Let f = 16 + -11. Solve -6*h**4 + h**f - 2*h**2 + 12*h**4 - h - 4*h**4 = 0 for h.
-1, 0, 1
Let s(v) = v**4 + v**3 + 3*v**2 - v - 4. Let g(b) = 3*b**4 + 3*b**3 + 6*b**2 - 3*b - 9. Let u(y) = 2*g(y) - 5*s(y). Solve u(q) = 0 for q.
-2, -1, 1
Let a = 32 + -32. Factor a + 2/3*r**2 + 0*r + 2/3*r**3.
2*r**2*(r + 1)/3
Factor -3*c + 9/2 + 1/2*c**2.
(c - 3)**2/2
Let w(b) be the second derivative of -b**5/110 + b**4/33 + b**3/33 - 2*b**2/11 + 6*b. Find p such that w(p) = 0.
-1, 1, 2
Let o(n) be the third derivative of 1/840*n**6 + 0 + 0*n**7 - 1/2352*n**8 + 0*n**4 + 0*n**5 + 4*n**2 + 0*n + 0*n**3. Factor o(z).
-z**3*(z - 1)*(z + 1)/7
Let i = 47/39 - -19/13. Let 10*n**3 + 0 + i*n - 7/3*n**4 - 12*n**2 = 0. What is n?
0, 2/7, 2
Find k, given that -1/3*k**2 + 1 - 2/3*k = 0.
-3, 1
Let u be (-1 + 1)*(-3)/(-6). Let w(v) be the second derivative of -1/6*v**4 - 1/10*v**5 + u - 2*v + 0*v**3 + 0*v**2. Find o such that w(o) = 0.
-1, 0
Suppose -5*k + 0 + 3 = 4*u, 0 = -u - 3*k - 1. Factor 3 + 0 + 2*f + f + f**u - 7*f.
(f - 3)*(f - 1)
Let c(l) be the first derivative of l**4/12 - 4*l**3/9 + 5*l**2/6 - 2*l/3 + 5. What is y in c(y) = 0?
1, 2
Let o = 8/9 - -7/9. Find n, given that 4/3*n**3 + o*n**2 + 0 + 1/3*n = 0.
-1, -1/4, 0
Let m(o) be the first derivative of 3*o**5 + 25*o**4/4 + 10*o**3/3 + 38. Determine w so that m(w) = 0.
-1, -2/3, 0
Let x(z) = z**2 - 37*z - 64. Let n(b) = b**2 - 19*b - 32. Let j(t) = 5*n(t) - 3*x(t). Factor j(i).
2*(i + 4)**2
Let t = -5 - -7. Let z = 0 + t. Factor 0*i**2 - i + 2*i**2 - 3*i**2 + z*i**2.
i*(i - 1)
Let n(w) be the third derivative of -w**2 + 0 - 2/45*w**5 + 0*w - 1/12*w**4 + 1/9*w**3. Let n(q) = 0. What is q?
-1, 1/4
Let p(k) be the second derivative of k**4/36 + 2*k**3/9 + 2*k**2/3 - 11*k. Factor p(u).
(u + 2)**2/3
Let n = -4/15 + 23/30. Let 1/2*w**2 + 1/2*w**3 - 1/2*w - n*w**4 + 0 = 0. Calculate w.
-1, 0, 1
Find j, given that 28/11 - 2/11*j**2 - 26/11*j = 0.
-14, 1
Let g(z) = -4*z**3 + 4*z**2 + 23*z - 16. Let n(i) = -2*i**3 + 2*i**2 + 11*i - 8. Let h(m) = -3*g(m) + 7*n(m). What is u in h(u) = 0?
-2, 1, 2
Let s(a) be the first derivative of -3*a**3 - 11*a**2/2 - 2*a + 5. Factor s(i).
-(i + 1)*(9*i + 2)
Let s(z) = -z - 3. Let y be s(-9). Factor -9*x - y*x**2 - 6*x**2 - 3*x**3 - 2 + 2*x**2.
-(x + 1)*(x + 2)*(3*x + 1)
Let l be (-3 + 18)/5 + (-4 - -1). Let z(t) be the third derivative of -1/330*t**5 + l + 1/33*t**3 + 0*t - 4*t**2 + 0*t**4. Determine n so that z(n) = 0.
-1, 1
Let t(g) be the third derivative of g**7/1575 - g**6/450 - g**5/90 + g**4/30 - 57*g**2. Factor t(r).
2*r*(r - 3)*(r - 1)*(r + 2)/15
Let t be 4/50*30/6. Factor -t + 6/5*h**3 + 2*h**2 + 2/5*h.
2*(h + 1)**2*(3*h - 1)/5
Let p(u) = u**3 + 11*u**2 + 11*u + 14. Let t be p(-10). Factor -2*r**t + 4*r**2 + 0*r + 2*r**3 - 2*r**2 + r - 3*r.
-2*r*(r - 1)**2*(r + 1)
Let z = 725 + -723. Factor -4/5*p - 4/5 - 1/5*p**z.
-(p + 2)**2/5
Let m(c) be the third derivative of -1/30*c**5 - 2*c**2 + 0*c**3 + 0*c + 0 + 0*c**4. Solve m(k) = 0.
0
Let z = -3/145 + 181/1740. Let h(g) be the first derivative of 0*g + 1/16*g**4 - 1/8*g**2 - 1/20*g**5 + 1 + z*g**3. Solve h(a) = 0 for a.
-1, 0, 1
Suppose -4*h + 4*z = -40, -h - 4*z - 47 = -6*h. Suppose h = -4*r + 3*l, 4*r + 3*l - 23 = -0. Factor 2/3*j - 8/3*j**r + 0.
-2*j*(4*j - 1)/3
Let g(q) be the first derivative of q**5/180 - q**3/18 + 3*q**2/2 + 1. Let l(v) be the second derivative of g(v). Determine d, given that l(d) = 0.
-1, 1
Let d(l) = -9*l**4 - 48*l**3 - 88*l**2 - 70*l - 10. Let v(w) = -w + 1. Let z(g) = d(g) - 6*v(g). Suppose z(t) = 0. Calculate t.
-2, -2/3
Let a(s) be the first derivative of 0*s**2 + 4 + 0*s**5 + 0*s**3 + 1/60*s**6 + 3*s - 1/24*s**4. Let n(d) be the first derivative of a(d). Factor n(m).
m**2*(m - 1)*(m + 1)/2
Let l be -6 - -15 - (1 + -2). Let q be (l/3 + -3)*2. Factor q*m**2 - 2*m + 4/3.
2*(m - 2)*(m - 1)/3
Suppose -2*a + x = -x - 2, -4*a + 5 = -5*x. Let j(m) be the second derivative of a*m**2 - 1/24*m**3 + 1/80*m**5 + 0*m**4 + 0 - 2*m. Factor j(w).
w*(w - 1)*(w + 1)/4
Let m = 67/7 - 2003/210. Let o(w) be the second derivative of -2*w + 4/15*w**3 + 4/5*w**2 + m*w**4 + 0. Let o(i) = 0. Calculate i.
-2
Let q(i) = -i**2 + i - 1. Let u(f) = -f + 1. Suppose 5*b = -3*k + 21, -2*b - k + 21 = -4*k. Let v = -2 - 0. Let t(z) = b*u(z) + v*q(z). Factor t(s).
2*(s - 2)**2
Let j(t) be the second derivative of -3*t + 1/20*t**5 + 0 + 2*t**3 + 4*t**2 + 1/2*t**4. Let j(x) = 0. What is x?
-2
Let h(q) = -q**3. Suppose v = -3*v - c - 57, 5*v - 5*c + 65 = 0. Let t(r) = -12*r**3 + 3*r**2 + 2*r. Let l(m) = v*h(m) + 2*t(m). Solve l(d) = 0.
-2/5, 0, 1
Let d(c) be the first derivative of 1/4*c**4 - 3 - 1/3*c**3 - 1/2*c**2 + 0*c + 1/5*c**5. Find i, given that d(i) = 0.
-1, 0, 1
Let g(q) be the third derivative of 0*q**3 + 1/840*q**7 + 0*q - 1/1344*q**8 + 0 + 0*q**4 + 5*q**2 + 1/480*q**6 - 1/240*q**5. Find c, given that g(c) = 0.
-1, 0, 1
Factor -15/4*r**2 - 7/4*r**4 - 1/4*r - 19/4*r**3 + 1/2.
-(r + 1)**3*(7*r - 2)/4
Let h be (6 - 4)/((-1)/(-5)). Suppose -5*r - 2*i + 2 = -2, 0 = 5*i - h. Suppose -2*y**2 + r*y**5 + 0*y**5 + y**5 - y + 2*y**4 = 0. What is y?
-1, 0, 1
Let i(g) be the second derivative of -g**5/60 + g**3/18 - 5*g. Factor i(b).
-b*(b - 1)*(b + 1)/3
Let y(q) be the third derivative of q**8/16800 - q**6/600 + q**5/150 + q**4/8 - 2*q**2. Let d(a) be the second derivative of y(a). Let d(n) = 0. Calculate n.
-2, 1
Let k(g) be the first derivative of -g**4 + 2*g**3 + 2*g**2 - 3. What is n in k(n) = 0?
-1/2, 0, 2
Let u(m) be the first derivative of -2*m**4/9 - 26*m**3/27 - 11*m**2/9 - 4*m/9 - 7. Factor u(d).
-2*(d + 1)*(d + 2)*(4*d + 1)/9
Factor 11*f - 25 + 5*f**4 - 10*f**3 + 4*f**3 + 19*f - 24*f**3 + 20*f**2.
5*(f - 5)*(f - 1)**2*(f + 1)
Let h(j) be the second derivative of j**5/70 + j**4/14 + 2*j**3/21 + 9*j. Suppose h(s) = 0. What is s?
-2, -1, 0
Let h(o) be the third derivative of o**10/378000 + o**9/151200 - o**5/30 + o**2. Let t(c) be the third derivative of h(c). Factor t(z).
2*z**3*(z + 1)/5
Let 0*g**2 + 0*g - 1/2*g**3 + 0 - 1/4*g**4 = 0. Calculate g.
-2, 0
Let h(w) be the third derivative of 0 - 1/36*w**4 + 0*w + 0*w**3 + 1/180*w**5 + w**2. Determine i so that h(i) = 0.
0, 2
Let a = -4 - -7. Suppose 5*g - 15 = -5. Factor 2*x + 2*x**3 - 5*x + a*x + 6*x**g + 4*x.
2*x*(x + 1)*(x + 2)
Let k(d) be the first derivative of 0*d + 2/33*d**3 + 2/55*d**5 - 2 - 1/11*d**4 + 0*d**2. Factor k(q).
2*q**2*(q - 1)**2/11
Factor 5 - 16*a + 1 - 16*a**2 - 6 - 4*a**3.
-4*a*(a + 2)**2
Let g(w) be the third derivative of -w**7/945 - w**6/540 + w**5/54 - w**4/36 - 7*w**2. Factor g(p).
-2*p*(p - 1)**2*(p + 3)/9
Factor -57/2*i**2 - 12*i + 6 - 21/2*i**3.
-3*(i + 1)*(i + 2)*(7*i - 2)/2
Let d(o) = -2*o*