 - 2)*(c + 1)
Let k be (2/(-56))/(2/12). Let o = k + 43/70. Factor -o*s**2 + 0*s + 2/5.
-2*(s - 1)*(s + 1)/5
Let c(j) be the second derivative of 0 + 0*j**2 - 7*j - 1/24*j**3 + 1/48*j**4. Factor c(z).
z*(z - 1)/4
Determine k, given that 0*k - 8/13*k**3 + 0 + 2/13*k**2 = 0.
0, 1/4
Let v = -123 - -127. Let z(o) be the first derivative of -2/3*o**3 + 2*o - 1/2*o**2 - 1 + 1/4*o**v. Factor z(b).
(b - 2)*(b - 1)*(b + 1)
Let w be 2/3 - 10/(-75). What is z in w + 2/5*z**3 - 4/5*z**2 - 2/5*z = 0?
-1, 1, 2
Let i(f) be the first derivative of -f**3/21 - 3*f**2/14 - 2*f/7 - 40. Factor i(m).
-(m + 1)*(m + 2)/7
Suppose 5*l - 3*s + 21 = 0, -5*l - 5*s = -2*s + 39. Let p = 9 + l. Factor 0*v - v + v**p - 1 + v**2 + 0*v**2.
(v - 1)*(v + 1)**2
Let g = 69281/80 + -866. Let j(c) be the second derivative of 1/4*c**2 + c + 1/12*c**4 + 5/24*c**3 + 0 + g*c**5. Determine h, given that j(h) = 0.
-2, -1
Let x(b) be the third derivative of -b**5/12 + 5*b**4/6 - 5*b**3/2 + 19*b**2. Find j, given that x(j) = 0.
1, 3
Let d(j) be the second derivative of 1/225*j**6 + 0*j**2 + 0*j**4 - 1/150*j**5 - j + 0 + 0*j**3. Suppose d(v) = 0. Calculate v.
0, 1
Let h(r) = -24*r**3 + 34*r**2 - 10*r + 14. Let y(p) = -2*p + 0*p - 3 - 7*p**2 + 4*p + 5*p**3. Let q(m) = 3*h(m) + 14*y(m). Factor q(d).
-2*d*(d - 1)**2
Solve 0 - 3*i + 3/2*i**3 + 3/2*i**2 = 0 for i.
-2, 0, 1
Let c(k) be the first derivative of 3*k**5/10 - 9*k**4/4 + 13*k**3/2 - 9*k**2 + 6*k - 14. Factor c(b).
3*(b - 2)**2*(b - 1)**2/2
Let r be -2 - -1 - 0 - -5. Factor 0 - 2/3*u**2 + 13/3*u**3 + 0*u - 20/3*u**r.
-u**2*(4*u - 1)*(5*u - 2)/3
Let v = -1 - -1. Suppose -4*u + z + 16 = 0, -2*u + 0*z + 4*z + 8 = v. Solve 2/3*d**u - 4/3*d**3 + 2/3 + 2/3*d**5 - 4/3*d**2 + 2/3*d = 0 for d.
-1, 1
Let f(s) be the first derivative of s**4/14 - 4*s**3/21 - 3*s**2/7 + 19. Suppose f(z) = 0. What is z?
-1, 0, 3
Let q be (-1)/(0 + 1) + 9. Let d = -15/2 + q. Find j such that -d*j**3 + 1/2 + 1/2*j - 1/2*j**2 = 0.
-1, 1
Suppose -2*f + 0*f = 0. Let o(r) be the third derivative of -1/15*r**4 + 4/15*r**3 + f + 0*r - 3*r**2 + 1/150*r**5. Factor o(p).
2*(p - 2)**2/5
Let c = -4 + 6. What is x in 3 - 5 - 5*x + 0*x**4 - 3*x**c + 5*x**3 + 1 + 4*x**4 = 0?
-1, -1/4, 1
What is c in -21/5*c + 0*c**2 + 3/5*c**3 + 18/5 = 0?
-3, 1, 2
Let g(l) = l**2 + 3*l + 4. Let k be g(-3). Let z be k/(-22) - (-4)/22. Factor 0*a - 2/7*a**2 - 2/7*a**4 + z + 4/7*a**3.
-2*a**2*(a - 1)**2/7
Let p(f) be the third derivative of f**5/270 + f**4/108 - 8*f**2. Find d such that p(d) = 0.
-1, 0
Let n(f) = 10*f**3 - 18*f**2 - 6*f + 10. Let p = -5 + 4. Let k(t) = t**3 - t**2 + 1. Let z = -11 + 23. Let m(a) = p*n(a) + z*k(a). Factor m(g).
2*(g + 1)**3
Let s(x) be the first derivative of -x**8/6720 + x**7/3360 + x**3/3 + 1. Let l(k) be the third derivative of s(k). Factor l(c).
-c**3*(c - 1)/4
Let r(f) be the third derivative of f**6/60 + f**5/10 - f**4/12 - f**3 + 10*f**2. Factor r(u).
2*(u - 1)*(u + 1)*(u + 3)
Let g = -17 - -37. Suppose -j = 3*j - 5*u - 20, -4*j + g = -4*u. Let 2/5 - 14/5*i**4 - 7/5*i + j*i**3 - 6/5*i**2 = 0. Calculate i.
-1/2, 2/7, 1
Determine g, given that 9*g**2 - 34*g + 9 + g**2 + 2 + 1 = 0.
2/5, 3
Let u(j) = 7*j**3 - 3*j**2. Let m(y) = 22*y**3 - 10*y**2. Let v(k) = 5*m(k) - 16*u(k). Factor v(z).
-2*z**2*(z + 1)
Factor 12*q + 0*q**4 - 4/5*q**5 + 8*q**3 + 16/5 + 16*q**2.
-4*(q - 4)*(q + 1)**4/5
Let y(o) be the third derivative of o**7/210 + o**6/60 - o**5/20 - o**4/6 + 2*o**3/3 - 4*o**2. Factor y(h).
(h - 1)**2*(h + 2)**2
Let d(j) be the third derivative of j**5/60 - j**4/12 - j**2. Suppose d(h) = 0. Calculate h.
0, 2
Solve 4*m**4 + 13 + 15 - 36*m**2 + 13*m + 20 + 3*m = 0.
-3, -1, 2
Solve 39*d**3 - 15*d**2 - d**4 + 21*d**4 - 34*d**3 = 0.
-1, 0, 3/4
Let d**3 - 6*d - 3*d**3 + 15*d**2 - 5*d**4 - d**3 - d**4 = 0. What is d?
-2, 0, 1/2, 1
Solve -6*y**2 + 4*y**3 + 10*y**3 + 14*y**2 - 10*y**3 = 0.
-2, 0
Let r(o) be the second derivative of 0*o**4 + 1/84*o**7 + 1/40*o**5 + 1/30*o**6 + 0*o**2 + 0*o**3 + 0 - 6*o. Find z such that r(z) = 0.
-1, 0
Let i = -19 - -22. Let v(q) be the second derivative of 1/18*q**4 + 0 + 0*q**2 - 1/60*q**5 - 1/18*q**i + q. Solve v(g) = 0 for g.
0, 1
Let k = -5 - -7. Determine s so that -2 - s**3 + s**3 + 2*s + 0*s**3 - 2*s**3 + k*s**2 = 0.
-1, 1
Let z be -2*6/(-4) - 1. Suppose 0 = -3*k + 5 + 13. Factor -k*c + 3*c + c + z*c**2.
2*c*(c - 1)
Let z = 125 + -81. Let o = z - 42. Suppose 1/4*r - 1/4*r**4 - 1/4*r**3 + 3/4*r**o - 1/2 = 0. Calculate r.
-2, -1, 1
Find k such that 0 + 4/23*k + 2/23*k**2 = 0.
-2, 0
Suppose 3*w**4 - 36*w + 8*w**2 - 18*w**3 + 20*w**2 - 11*w**2 + 22*w**2 + 12 = 0. Calculate w.
1, 2
Let g = 1668/5 - 333. Factor 1/5*b**2 + 2/5 - g*b.
(b - 2)*(b - 1)/5
Let v(h) = -h + 5 - 2 - 2. Let t be v(-2). Solve -4*z**3 - z**t + 6*z**3 - 2*z**2 + z = 0.
0, 1
Suppose 0*r = -5*r + 20. Factor 3 + 9*g**3 - 3 - 3*g**r + 6*g - 18*g.
-3*g*(g - 2)**2*(g + 1)
Suppose -7*j + 3*j + 8 = 0. Factor -2*b - 5*b**2 + 0*b**3 + 2*b**4 - 6*b**3 + 11*b**j.
2*b*(b - 1)**3
Let x(z) be the first derivative of 8 + 1/7*z**4 + 0*z**2 - 2/21*z**6 - 4/35*z**5 + 4/21*z**3 + 0*z. Suppose x(m) = 0. What is m?
-1, 0, 1
Let q = 9 + -12. Let a be (q/(-4))/((-3)/(-12)). Factor -2/3*x**a + 0 + 4/3*x**2 - 2/3*x.
-2*x*(x - 1)**2/3
Let b(c) be the third derivative of 2*c**7/105 + 6*c**6/5 + 162*c**5/5 + 486*c**4 + 4374*c**3 + 21*c**2. Factor b(h).
4*(h + 9)**4
Let t(k) be the first derivative of -3*k**5 - 25*k**4 - 45*k**3 - 25*k**2 - 34. Find s, given that t(s) = 0.
-5, -1, -2/3, 0
Suppose -2*k - 1 = u + 2*k, 0 = -3*u - 3*k + 6. Suppose u*t + 2*t = 0. Factor y**2 + t*y**2 + 1 + 0*y**2 + 2*y.
(y + 1)**2
Let f = 39/8 - 27/8. Find r, given that 0 - 3/2*r**4 + 3*r**3 - f*r**2 + 0*r = 0.
0, 1
Let x(a) be the second derivative of -a**8/560 + a**7/175 - a**5/50 + a**4/40 - 5*a**2/2 - a. Let z(i) be the first derivative of x(i). Factor z(m).
-3*m*(m - 1)**3*(m + 1)/5
Let m(g) be the first derivative of -g**4/6 + 4*g**3/3 - 4*g**2 + 2*g - 3. Let b(u) be the first derivative of m(u). Suppose b(d) = 0. What is d?
2
Let l(q) be the second derivative of q**6/60 + q**5/30 - q**4/12 - q**3/3 + q**2/2 + 3*q. Let v(k) be the first derivative of l(k). Solve v(d) = 0.
-1, 1
Let z be 9/3 + 1/1. Suppose z*s + s = 15. Factor 0*a - a**4 - 1/2*a**2 - 1/4*a**5 - 5/4*a**s + 0.
-a**2*(a + 1)**2*(a + 2)/4
Let d(n) be the second derivative of n**6/15 + n**5/10 - n**4/6 - n**3/3 - 17*n. Let d(r) = 0. Calculate r.
-1, 0, 1
Let v(s) = s**3 + 7*s**2 - 8*s + 2. Let t be v(-8). Factor 3*a**4 + t*a**4 - 5*a**4 - 2*a**3 - 2*a**2 + 2*a**5 + 2*a**4.
2*a**2*(a - 1)*(a + 1)**2
Let k(t) be the first derivative of 2/3*t**2 + 0*t + 2 + 2/9*t**3. Suppose k(w) = 0. What is w?
-2, 0
Let m(v) be the second derivative of v**6/10 - 3*v**5/20 - v**4/2 + 4*v. Determine n, given that m(n) = 0.
-1, 0, 2
Let l(k) be the third derivative of -1/9*k**3 + 8*k**2 + 0 + 0*k + 1/24*k**4 - 1/180*k**5. Factor l(z).
-(z - 2)*(z - 1)/3
Let z(c) be the first derivative of c**3/3 - 8*c**2 + 64*c + 34. Factor z(s).
(s - 8)**2
Let n be 6/((-4)/(16/(-6))). Determine b, given that -6*b**3 + 3*b**n + 0*b**2 + 0*b**2 + b**2 + 2*b**2 = 0.
0, 1
Let m be 2 + 8/((-960)/238). Let w(r) be the second derivative of 0 + 0*r**3 - 4*r - 1/10*r**2 + m*r**4. Factor w(y).
(y - 1)*(y + 1)/5
Suppose 17 = -0*t - t + 4*m, -5*m + 18 = 2*t. Let u be t*0/(0 - 3). Factor -1/5*f**3 + 0 - 1/5*f**4 + u*f + 0*f**2.
-f**3*(f + 1)/5
Let j(x) be the third derivative of -x**7/70 + x**6/40 + x**5/20 - x**4/8 + 5*x**2. Factor j(l).
-3*l*(l - 1)**2*(l + 1)
Suppose -q + 3*o = 5, -o - 25 = -2*q - q. Let b = 15 - q. Let y(f) = f**2 - f. Let v(r) = -r**3 + 5*r**2 - 2*r - 2. Let l(s) = b*y(s) - v(s). Factor l(k).
(k - 1)**2*(k + 2)
Suppose i - 6*i - y = 0, -i - y - 4 = 0. Let h be (0 - 0)/(i - -1). Determine d, given that -4/7*d**2 + 2/7*d + h + 2/7*d**3 = 0.
0, 1
Let f = -13 - -13. Let g(x) be the first derivative of 3 + 1/3*x**3 + 0*x + f*x**2. Factor g(s).
s**2
Factor -2/11*i**5 + 0*i**3 + 2/11*i - 4/11*i**4 + 4/11*i**2 + 0.
-2*i*(i - 1)*(i + 1)**3/11
Solve -3 - 15/2*m - 6*m**2 - 3/2*m**3 = 0 for m.
-2, -1
Solve -11*v + 8 - 6*v**2 - 2*v**4 + 8*v**3 + 0*v**3 + 9*v - 6*v = 0 for v.
-1, 1, 2
Suppose -2*j + 7*j = 10. Suppose h + 2 = 0, 5*h - 4 = -5*s + j*h. Factor -1/3 + 1/6*r + 1/6*r**s.
(r - 1)*(r 