+ 2*s + 0 - c*s**6 + 0*s**2 + 1/10*s**5 + 1/6*s**4. Factor b(r).
-2*r*(r - 1)**2*(r + 1)
Let y be -9 + 0 + 4 + 1 + 6. Factor y + 2/3*v**2 + 8/3*v.
2*(v + 1)*(v + 3)/3
Let v(t) be the first derivative of -t**6/4 - 6*t**5/5 - 9*t**4/4 - 2*t**3 - 3*t**2/4 - 8. Find c, given that v(c) = 0.
-1, 0
Suppose 2*b**2 - 5*b**2 - 12*b**2 + 10*b = 0. What is b?
0, 2/3
Let q(a) be the first derivative of 0*a + 0*a**3 + 0*a**4 - 4 + 2/5*a**5 - 1/3*a**6 + 0*a**2. What is o in q(o) = 0?
0, 1
Let g be 3/(-6) - 40/(-16). Determine y, given that 0 - 4/9*y**3 - 2/9*y**g + 0*y = 0.
-1/2, 0
Suppose 4*r - y - 65 = 0, r + 2*r = -2*y + 35. Let t be 2/(-5)*(0 - r). Suppose -i + 0 - 5/2*i**2 + t*i**3 = 0. What is i?
-1/4, 0, 2/3
Suppose 4*s = 3*g - 16, -s = 3*g + 2*s + 12. Factor -1/2*t**2 + 0*t - 2*t**5 + 7/2*t**4 - t**3 + g.
-t**2*(t - 1)**2*(4*t + 1)/2
Let u be (-27)/(-12) - (-4)/(-16). Let c(g) be the second derivative of 2/3*g**3 + 0 + u*g**2 + 1/12*g**4 - g. Factor c(y).
(y + 2)**2
Let d = -5 + 4. Let u(w) = -2*w**3 + 2*w**2 + 2*w + 1. Let b be u(d). Factor 1/2*h**b + 0 - 1/4*h + 1/4*h**2.
h*(h + 1)*(2*h - 1)/4
Find h, given that 0 + 3*h**2 + 3/2*h**3 - 3/2*h**4 + 0*h = 0.
-1, 0, 2
Let b = -7 - -16. Suppose -2*s = -b*s. Factor 0*o - 3/5*o**3 + 3/5*o**4 + s + 0*o**2.
3*o**3*(o - 1)/5
Let o(w) be the second derivative of w**5/35 - w**4/14 + w**3/21 + w. Factor o(u).
2*u*(u - 1)*(2*u - 1)/7
Let w(o) = 3*o**4 + 20*o**3 + 28*o**2 + 22*o + 5. Let b(s) = 8*s**4 + 60*s**3 + 83*s**2 + 67*s + 15. Let k(v) = -2*b(v) + 7*w(v). Suppose k(x) = 0. What is x?
-1
Solve -2*b**5 + b**2 + 3*b - 5*b**2 - b + 4*b**4 = 0.
-1, 0, 1
Suppose 5*m - 4*l = -7, -3 = -4*m + 5*l - 14. Let c be m/2 + (-2)/8. Determine n so that 0 + c*n**3 + 0*n + 0*n**2 + 1/4*n**4 = 0.
-1, 0
Let n(y) = -3*y**2 + 7*y + 4. Let c(a) = 10*a**2 - 22*a - 13. Let x(g) = 2*c(g) + 7*n(g). Let u be x(5). Factor w + 0*w**u + 2/3 - 1/3*w**3.
-(w - 2)*(w + 1)**2/3
Let b(f) be the second derivative of 0 + f - 2/105*f**6 + 1/147*f**7 + 1/21*f**4 - 1/21*f**3 + 0*f**5 + 0*f**2. Factor b(o).
2*o*(o - 1)**3*(o + 1)/7
Let h(q) be the third derivative of q**10/50400 - q**9/25200 - q**8/11200 + q**7/4200 + q**4/12 + q**2. Let s(p) be the second derivative of h(p). Factor s(w).
3*w**2*(w - 1)**2*(w + 1)/5
Let q = 146 + -143. Factor 0*u + 0*u**4 - 2/5*u**2 - 1/5*u**5 + 0 + 3/5*u**q.
-u**2*(u - 1)**2*(u + 2)/5
Factor 8*p**2 + 8*p**2 - 54*p - 63*p**2 + 8 + 15*p**3.
(p - 4)*(p + 1)*(15*p - 2)
Let f = -4 - -6. Let y = 3 - -4. Factor -6*r**3 + 2 + y*r - r - 2*r**2 + 0*r**f.
-2*(r - 1)*(r + 1)*(3*r + 1)
Suppose 0*t = 2*t + 4. Let s be 6/4 + t/4. Factor s + 1 + y**2 - 2*y**2 - y.
-(y - 1)*(y + 2)
Find g, given that 8*g + 12/7*g**2 - 6/7*g**3 - 2/7*g**4 + 48/7 = 0.
-2, 3
Let c be (-4)/(-10) + (-265)/(-25). Let g = 15 - c. Find t, given that 0*t**2 + g*t**2 - t + 3*t**3 + 2 - 2*t**3 - 6*t**2 = 0.
-1, 1, 2
Let g(j) = -j**2 + 6*j - 9. Let m be g(6). Let r be m + 10 + 1/(-5). Factor 0*i**3 + 0 + r*i**2 - 4/5*i**4 + 2/5*i**5 - 2/5*i.
2*i*(i - 1)**3*(i + 1)/5
Let w(n) = 15*n**3 - 255*n**2 + 576*n - 384. Let z(f) = -f**3 + 16*f**2 - 36*f + 24. Let t(y) = -2*w(y) - 33*z(y). Suppose t(l) = 0. Calculate l.
2
Let q(j) be the first derivative of -6 + 11/9*j**2 + 17/18*j**4 - 4/9*j - 2/9*j**5 - 14/9*j**3. Determine v, given that q(v) = 0.
2/5, 1
Let r be -1*(-4)/2*4. Suppose -v - y - 1 = -8, 0 = -v + 4*y - r. Suppose 0*l + 0*l**2 + l**v + 0 - 1/2*l**5 - 1/2*l**3 = 0. What is l?
0, 1
Let t be ((-16)/(-40))/((-2)/(-20)). Let 7*v - 3*v**2 + 6*v - t*v + 3 - 9*v**3 = 0. Calculate v.
-1, -1/3, 1
Let m(u) = -12*u**3 - 9*u**2 - 9*u - 33. Let w(f) = 3*f**3 + 2*f**2 + 2*f + 8. Let z(p) = 5*m(p) + 21*w(p). Factor z(j).
3*(j - 1)**2*(j + 1)
Factor -1/5*c**2 - 64/5 + 16/5*c.
-(c - 8)**2/5
Factor 2/9 + 2/9*v**2 + 4/9*v.
2*(v + 1)**2/9
Let m(o) be the third derivative of -7*o**2 + 0*o**3 + 1/336*o**8 - 1/105*o**7 + 1/120*o**6 + 0 + 0*o**4 + 0*o + 0*o**5. Find u, given that m(u) = 0.
0, 1
Let t(y) = y**2 + y - 1. Let c(z) = -4*z**2 + 3*z + 5. Let f(g) = -c(g) - 2*t(g). Factor f(k).
(k - 3)*(2*k + 1)
Let p be (7/378)/(6/(-8) + 1). Let z(f) be the third derivative of 0*f + 0 + 1/90*f**5 + 4/27*f**3 - p*f**4 - 2*f**2. Solve z(x) = 0 for x.
2/3, 2
Let z(h) be the third derivative of h**6/1980 + h**5/330 + 5*h**3/6 - 6*h**2. Let m(g) be the first derivative of z(g). Factor m(v).
2*v*(v + 2)/11
Let l(w) be the third derivative of w**7/105 - w**6/60 - w**5/30 + w**4/12 - 10*w**2. What is t in l(t) = 0?
-1, 0, 1
Let c(g) be the second derivative of -3*g**8/5600 + g**7/700 - g**6/900 + g**4/4 + 3*g. Let m(v) be the third derivative of c(v). Factor m(q).
-2*q*(3*q - 2)*(3*q - 1)/5
Suppose 0 = -6*x + 2*x + 12. Let j(k) be the first derivative of 0*k**2 + 2*k**4 - 1 + 0*k + 2/3*k**x - 2/5*k**5 - 4/3*k**6. Find u, given that j(u) = 0.
-1, -1/4, 0, 1
Factor -11/4*x**2 + 3/2*x + 0 + 1/4*x**4 + x**3.
x*(x - 1)**2*(x + 6)/4
Let i(f) be the second derivative of 1/168*f**7 + 0 - 1/48*f**4 - 1/40*f**6 - 6*f + 3/80*f**5 + 0*f**3 + 0*f**2. Factor i(z).
z**2*(z - 1)**3/4
Let m(p) be the second derivative of p**7/630 - p**5/180 - 3*p**2/2 - 7*p. Let n(u) be the first derivative of m(u). Factor n(l).
l**2*(l - 1)*(l + 1)/3
Let n(c) = -5*c**4 - 3*c**3 + 4*c**2 - 16*c + 4. Let a(o) = 6*o**4 + 4*o**3 - 3*o**2 + 17*o - 5. Let h(y) = -4*a(y) - 5*n(y). Factor h(m).
m*(m - 2)**2*(m + 3)
Let m be (-4 - 2 - -3) + 4. Factor 6*s - 2 + 2 + 3*s**2 + m + 2.
3*(s + 1)**2
Let v(x) be the second derivative of 0 - 3*x - 1/120*x**5 + 1/2*x**2 + 0*x**4 + 1/12*x**3. Let t(j) be the first derivative of v(j). Let t(k) = 0. What is k?
-1, 1
Let r be (-4)/(-2 + -4 + 4). Let m(o) be the second derivative of 3*o + 1/9*o**4 - 1/6*o**r + 0 - 1/6*o**3. Let m(q) = 0. What is q?
-1/4, 1
Let s be (114/(-152))/(99/(-24)). Factor -2/11 + 0*u + s*u**2.
2*(u - 1)*(u + 1)/11
Let b(r) = -r**3 - r**2 - r - 1. Let v(z) be the first derivative of 2/5*z**5 + 3*z**2 - 1 + 6*z + 5/2*z**4 + 8/3*z**3. Let g(n) = 6*b(n) + v(n). Factor g(f).
2*f**2*(f + 1)**2
Factor 7*u**2 - 4 + u + u**3 - 5*u - 6*u**2.
(u - 2)*(u + 1)*(u + 2)
What is s in 0*s**4 - 2/7*s**5 + 0*s**2 + 0*s + 0 + 2/7*s**3 = 0?
-1, 0, 1
Let b be (20/4 - 1)/1. Let l(m) be the third derivative of -3*m**2 - 1/24*m**b + 0 + 1/120*m**6 + 1/210*m**7 + 0*m**3 - 1/60*m**5 + 0*m. Factor l(h).
h*(h - 1)*(h + 1)**2
Let q(a) be the first derivative of -4*a**3/3 - 4*a**2 - 4*a + 17. Factor q(w).
-4*(w + 1)**2
Let g(o) be the third derivative of 0 - 1/2352*o**8 + 0*o + 8*o**2 + 1/105*o**5 + 0*o**3 - 1/168*o**4 + 2/735*o**7 - 1/140*o**6. Suppose g(i) = 0. Calculate i.
0, 1
Let g be (16/12)/(8/18). Let 2/7*j**g - 2/7 + 6/7*j - 6/7*j**2 = 0. Calculate j.
1
Let o(h) be the second derivative of -h**4/4 + 6*h**2 - 2*h. Factor o(n).
-3*(n - 2)*(n + 2)
Let a(i) = 11*i**2 - 110*i + 611. Let m(r) = -10*r**2 + 110*r - 610. Let s(k) = 5*a(k) + 6*m(k). Factor s(j).
-5*(j - 11)**2
Let d = -1/11 + 17/66. Let p(z) be the third derivative of -1/12*z**4 + 0 + 0*z - d*z**3 - 1/60*z**5 - z**2. Suppose p(a) = 0. What is a?
-1
Let x(r) = -3*r**2 + 10*r + 13. Let q be -4*7*(-3)/6. Suppose 3*l - l = -q. Let y(p) = -5*p**2 + 19*p + 25. Let j(u) = l*x(u) + 4*y(u). Factor j(w).
(w + 3)**2
Let r = 1961/14 + -140. Let d(q) be the second derivative of 0 - 2/21*q**3 + 2*q - r*q**4 + 0*q**2. Factor d(z).
-2*z*(3*z + 2)/7
Suppose -3 + 1 = -b. Let y(f) be the third derivative of -1/3*f**4 + 1/30*f**5 + b*f**2 + 0*f + 0 + 4/3*f**3. Solve y(j) = 0.
2
Let w = -2292/5 - -459. Let -w + 3/5*m**2 + 3/5*m**3 - 3/5*m = 0. What is m?
-1, 1
Factor 0*j - 4/21*j**2 + 2/21 + 0*j**3 + 2/21*j**4.
2*(j - 1)**2*(j + 1)**2/21
Let f be 3*(6 + -8)*(-2)/36. Factor o - o**2 + f*o**3 - 1/3.
(o - 1)**3/3
Let n(w) be the third derivative of -w**7/10080 - w**6/1440 - w**5/480 - w**4/12 + w**2. Let u(g) be the second derivative of n(g). Factor u(s).
-(s + 1)**2/4
Let k(r) = 1. Let t(i) be the second derivative of -3*i + 5/2*i**2 - 1/12*i**4 + 0 - 1/6*i**3. Let v(n) = 3*k(n) - t(n). Suppose v(a) = 0. Calculate a.
-2, 1
Let q(r) = -r**3 - 13*r**2 + 16*r - 5. Let x(z) be the first derivative of -z**4/2 - 14*z**3/3 + 8*z**2 - 4*z + 6. Let m(d) = 4*q(d) - 3*x(d). Factor m(a).
2*(a - 2)**2*(a - 1)
Determine g, given that -14*g**2 - 23*g**2 - 15*g - 18 + 40*g*