- 2/9.
-2*(d - 1)*(4*d - 1)/9
Let g = -9 + 15. Suppose -2*n = n - g. Factor -d**2 - 3*d - 2*d**n + d.
-d*(3*d + 2)
Let z(t) be the first derivative of t**5/30 + t**4/18 + 6*t - 3. Let g(r) be the first derivative of z(r). Determine o so that g(o) = 0.
-1, 0
Let v(g) be the second derivative of -5*g**6/48 - 3*g**5/8 - g**4/2 - g**3/3 + 3*g**2/2 + 5*g. Let r(f) be the first derivative of v(f). Factor r(j).
-(j + 1)*(5*j + 2)**2/2
Let t(w) be the third derivative of -3*w**7/70 - w**6/10 + 9*w**5/20 + 3*w**4/4 - 4*w**3 + 4*w**2 + 1. Solve t(g) = 0 for g.
-2, -4/3, 1
What is r in -4/11 + 8/11*r**3 + 2*r - 26/11*r**2 = 0?
1/4, 1, 2
Let x = 4 + -2. Let i be 4/6 - (-78)/18. Find d, given that 3*d + i*d**x + 1 - 2 - 1 + 0*d**2 = 0.
-1, 2/5
Let j(s) be the second derivative of s**4/30 + 4*s**3/15 + 18*s. Factor j(c).
2*c*(c + 4)/5
Let g be (3/(-2))/((-6)/(-624)). Let t = 1720/11 + g. Factor 2/11*v**2 + 2/11 - t*v.
2*(v - 1)**2/11
Let o(k) be the third derivative of -k**5/240 - k**4/24 - k**3/8 - 2*k**2. Factor o(s).
-(s + 1)*(s + 3)/4
Suppose f - 11 = -3*b + 3, 4*b - 5*f - 6 = 0. Suppose -3*z - 4*c - 3 - 4 = 0, -5*z - b*c = 1. Factor -2*o**2 - z*o**4 + 4*o**2 - 3*o**2 + 4*o**2.
-3*o**2*(o - 1)*(o + 1)
Let p(q) = -8*q**2 - 10*q - 14. Let x(k) = -7*k**2 - 10*k - 13. Let f(z) = -5*p(z) + 6*x(z). Determine d, given that f(d) = 0.
-4, -1
Factor 4/7*i**4 - 4/7 - 16/7*i**2 - 2*i - 4/7*i**3 + 2/7*i**5.
2*(i - 2)*(i + 1)**4/7
Factor 0*v**2 - 7*v**2 - 21*v + 10*v**2.
3*v*(v - 7)
Let a(v) be the first derivative of 0*v + 1/3*v**2 - 4 + 5/9*v**3 + 1/4*v**4. Factor a(g).
g*(g + 1)*(3*g + 2)/3
Let m = -26353/31584 + 117/224. Let l = 1/47 - m. Find h such that -l*h + 0 - 1/3*h**2 = 0.
-1, 0
Let o(d) = 8*d**4 + 8*d**3 - 10*d**2 - 6*d + 10. Let q(z) = z**4 - z + 1. Let y(f) = o(f) - 10*q(f). Factor y(g).
-2*g*(g - 2)*(g - 1)**2
Let f = 21 - 18. Suppose 4*h = f*m + 9, 0 = 4*h - m - m - 6. Factor 0*x**2 - 1/2*x**4 + 0*x + x**3 + h.
-x**3*(x - 2)/2
Factor -3*q**4 - 100*q**3 - 91*q**3 + 188*q**3.
-3*q**3*(q + 1)
Factor -16/9*f - 4/9*f**4 + 0 - 8/3*f**3 - 4*f**2.
-4*f*(f + 1)**2*(f + 4)/9
Let p = 13/14 + -3/7. Determine r, given that -1/2 + p*r**2 + 0*r = 0.
-1, 1
Let g(y) = y**5 + 4*y**4 + 6*y**2 + 11*y. Let t(f) = f**4 + f**2 + 2*f. Let i(r) = 2*g(r) - 11*t(r). Factor i(z).
z**2*(z - 1)**2*(2*z + 1)
Suppose t - 32 = -12. Factor -20 + 13*o - 4*o**3 - 4*o**2 - 5*o + t.
-4*o*(o - 1)*(o + 2)
Let t = -333 - -337. Let -2/5*m**t - 16/5 - 8*m - 14/5*m**3 - 36/5*m**2 = 0. Calculate m.
-2, -1
Let i(h) be the second derivative of h**6/30 - h**4/6 + h**2/2 + 9*h. Determine t so that i(t) = 0.
-1, 1
Let c(u) be the first derivative of u**7/280 + u**6/120 - 4*u**3/3 - 3. Let v(a) be the third derivative of c(a). What is q in v(q) = 0?
-1, 0
Suppose w = 2*w - 2. Let h be (-57)/(-11) + w/(-11). Find x, given that 16/3*x**4 - 14/3*x - 4/3 + 8/3*x**3 + 2*x**h - 4*x**2 = 0.
-1, -2/3, 1
Let t = 353/5 - 70. Let n = 1/15 - -2/15. Factor n + t*f**2 - 1/5*f**3 - 3/5*f.
-(f - 1)**3/5
Suppose 2/11*i**2 + 6/11*i + 4/11 = 0. Calculate i.
-2, -1
Let g(u) be the first derivative of u**6/9 + 14*u**5/15 + 19*u**4/6 + 50*u**3/9 + 16*u**2/3 + 8*u/3 + 27. Let g(z) = 0. What is z?
-2, -1
Let r**4 + 1/3*r**2 + 0*r - r**3 + 0 - 1/3*r**5 = 0. What is r?
0, 1
Let f = 4 - 14. Let g be 0 - ((-16)/f - 2). Factor -4/5*y**3 - g + 2/5*y - 2/5*y**4 + 2/5*y**5 + 4/5*y**2.
2*(y - 1)**3*(y + 1)**2/5
What is h in 14*h**3 + 8 + 0*h**5 + 7*h**2 - 16*h + 2*h**5 + h**2 - 10*h**4 - 6*h**2 = 0?
-1, 1, 2
Let r = 2/5 - 3/20. Let c(h) be the first derivative of r*h**2 - 1/4*h**3 - 2 + 0*h. Factor c(d).
-d*(3*d - 2)/4
Factor 0*f - 1/3*f**4 - 1/3*f**3 + 0 + 0*f**2.
-f**3*(f + 1)/3
Let d(z) be the third derivative of z**5/100 - z**4/4 + 5*z**3/2 - 5*z**2. Let d(w) = 0. What is w?
5
Let n(q) be the third derivative of 7*q**5/110 - 3*q**4/22 - q**3/11 - 16*q**2. Factor n(m).
6*(m - 1)*(7*m + 1)/11
Let h(g) = 2*g + 1. Let s be h(1). Factor -10*z**2 + 3*z**4 + 8*z**3 + 6*z - s*z**4 - 2*z**4 - 2*z.
-2*z*(z - 2)*(z - 1)**2
Let r(v) be the third derivative of -1/50*v**5 + 0*v**6 + 0*v + 1/10*v**3 + 0*v**4 + 1/350*v**7 - v**2 + 0. Let r(x) = 0. What is x?
-1, 1
Let n(u) be the first derivative of -u**3/15 + 6*u**2/5 - 36*u/5 - 3. Determine o, given that n(o) = 0.
6
Let a(w) be the third derivative of -w**5/40 + w**4/8 - w**3/4 + 29*w**2. Factor a(g).
-3*(g - 1)**2/2
Let c(m) be the third derivative of 0 - 1/270*m**5 - 2/27*m**3 + 1/36*m**4 + 0*m - 4*m**2. Factor c(n).
-2*(n - 2)*(n - 1)/9
Let q(v) be the first derivative of v**4/12 + v**3/6 - v**2 + 4*v + 5. Let a(p) be the first derivative of q(p). Factor a(f).
(f - 1)*(f + 2)
Let m(n) be the third derivative of -n**5/180 - 5*n**4/36 - 25*n**3/18 + 10*n**2. Let m(h) = 0. What is h?
-5
Let i(t) = -t**2 + 3*t + 7. Let m(h) = -h**2 + 4*h + 8. Let w(k) = 4*i(k) - 3*m(k). Factor w(z).
-(z - 2)*(z + 2)
Let c = 85 + -169/2. Let x(y) be the second derivative of 0*y**2 + 1/3*y**3 - c*y**4 + 3/10*y**5 + y - 1/15*y**6 + 0. Let x(p) = 0. Calculate p.
0, 1
Let d(q) be the second derivative of -1/15*q**4 - 9*q - 2/15*q**3 + 0*q**2 + 0 - 1/100*q**5. Solve d(a) = 0.
-2, 0
Let n(j) be the second derivative of j**5/15 + 11*j**4/9 + 80*j**3/9 + 32*j**2 + 28*j. Factor n(y).
4*(y + 3)*(y + 4)**2/3
Factor 3*n**4 + 2*n - 3*n**5 - 5*n - 81*n**2 + 75*n**2 + 6*n**3 + 3.
-3*(n - 1)**3*(n + 1)**2
Suppose -3*o = -5*f + o - 2, -3*f - 2*o = -12. Determine j, given that 8/3 - 8*j + 10/3*j**3 + 2*j**f = 0.
-2, 2/5, 1
Let r(n) be the first derivative of 6 + 4/3*n**2 + 8/3*n + 2/9*n**3. Factor r(g).
2*(g + 2)**2/3
Solve -6/5 + 48/5*y**4 - 117/5*y**2 + 24/5*y**3 + 51/5*y = 0.
-2, 1/4, 1
Let l = -8 - -9. Suppose -2*x - l - 5*x**4 + 2*x**4 + 0*x**4 + 4*x**4 + 2*x**3 = 0. Calculate x.
-1, 1
Solve 576 + 1/3*n**3 + 12*n**2 + 144*n = 0 for n.
-12
Let c(y) be the first derivative of -y**7/105 - y**6/20 - y**5/10 - y**4/12 - 3*y**2 + 4. Let h(k) be the second derivative of c(k). What is b in h(b) = 0?
-1, 0
Let m(s) be the first derivative of s**7/49 + 2*s**6/21 + 2*s**5/35 - 4*s**4/21 - 5*s + 2. Let y(v) be the first derivative of m(v). Factor y(h).
2*h**2*(h + 2)**2*(3*h - 2)/7
Let u(h) be the third derivative of 0*h**4 + 1/60*h**6 - 2/45*h**5 - 8*h**2 + 0*h + 0 + 0*h**3. Determine v so that u(v) = 0.
0, 4/3
Suppose 136 = 6*t - 2*t + 4*x, -3*x = 3. Let z be ((-10)/t)/((-6)/14). Factor 2/3*u**3 + 0*u + 0 - 2/3*u**4 + z*u**2 - 2/3*u**5.
-2*u**2*(u - 1)*(u + 1)**2/3
Let o(n) be the first derivative of -3*n**4/20 - 6*n**3/5 + 3*n**2/10 + 18*n/5 - 14. Let o(h) = 0. Calculate h.
-6, -1, 1
Let h be ((-136)/10)/(2/(-5)). Let t = h + -32. Factor -18/11*v - 30/11*v**2 - t*v**3 - 4/11 - 6/11*v**4.
-2*(v + 1)**3*(3*v + 2)/11
Let n(j) be the third derivative of -7*j**7/90 - 7*j**6/20 - 109*j**5/180 - j**4/2 - 2*j**3/9 + 4*j**2. Factor n(x).
-(x + 1)**2*(7*x + 2)**2/3
Suppose -f = 3 - 5. Factor 0 - 1/3*w**5 - 1/3*w**3 + 0*w**f + 0*w + 2/3*w**4.
-w**3*(w - 1)**2/3
Let d be ((-27)/(-20))/3 - (-1)/(-5). Factor 1/4*q**2 - 1/4*q**3 - d + 1/4*q.
-(q - 1)**2*(q + 1)/4
Let y = 81/178 + 4/89. Let 0 - 1/2*p**4 + 1/2*p + y*p**2 - 1/2*p**3 = 0. Calculate p.
-1, 0, 1
Factor -16*p**2 - 20*p + 5*p**3 - 5*p**3 + 2*p**3 - 8 - 6*p**3.
-4*(p + 1)**2*(p + 2)
Factor 4*u**2 - 6*u + 10*u - 8*u.
4*u*(u - 1)
Let -3*g**2 + 0*g**2 + 2*g**2 = 0. What is g?
0
Suppose -2*s = 2*n, -3*n + 2 = -2*n + 3*s. Let f(c) = -3*c**5 + 8*c**3 + 5*c**2 - 5*c. Let i(j) = -j**3 - j**2 + j. Let a(o) = n*f(o) - 5*i(o). Factor a(l).
3*l**3*(l - 1)*(l + 1)
Let a be ((-4)/10)/((-2)/20). Let k = 20 - a. Suppose 2*q + k*q + 5 + 14*q**2 - 1 = 0. What is q?
-1, -2/7
Let y be 45/(-105)*(-3 - (-28)/12). Factor 0 + 2/7*b**4 - 2/7*b - 2/7*b**2 + y*b**3.
2*b*(b - 1)*(b + 1)**2/7
Suppose -1/8 - 1/8*f**2 - 1/4*f = 0. What is f?
-1
Let m(n) be the second derivative of n**6/10 + 9*n**5/20 + 3*n**4/4 + n**3/2 - n. Find o, given that m(o) = 0.
-1, 0
Suppose 0*v + 3 = v + 2*s, 0 = 5*s. Suppose -3/2*n**2 + 3/2*n**v + 3/2 - 3/2*n = 0. Calculate n.
-1, 1
Let a = 142/41 - -3/82. Let -3*k**5 + 0 + 2*k**3 + k - a*k**2 + 7/2*k**4 = 0. What is k?
-1, 0, 1/2, 2/3, 1
Let z = -92 - -461/5. Factor 0 - z*i**2 + 2/5*i.
-i*(i - 2)/5
Suppose 2*s - 7*s = -3855. Let g = -3839/5 + s. Factor 2*f**4 + 0 + 2/5*f**2 + 4/5*f - g*f