uppose 9*n - 54 + 27 = 0. Factor 0 - 1/4*w + 1/4*w**n - 1/4*w**2 + 1/4*w**4.
w*(w - 1)*(w + 1)**2/4
Factor -8/11*m - 2/11*m**2 - 6/11.
-2*(m + 1)*(m + 3)/11
Let a(k) = k - 5. Let s be a(8). Let u = -2 + 8. Find l such that -2*l**5 - 2*l - u*l**s + 4*l**5 - 10*l**2 - 2*l + 2*l**4 = 0.
-1, 0, 2
Let o(x) be the third derivative of x**6/360 - x**5/90 - x**4/72 + x**3/9 - 7*x**2. Factor o(i).
(i - 2)*(i - 1)*(i + 1)/3
Suppose -k**2 + 1 - 1 - 8*k**3 + 7*k**3 = 0. What is k?
-1, 0
Let h be (57/228)/((-2)/(-24)). Factor 0 - 3/5*t**h + 3/5*t + 0*t**2.
-3*t*(t - 1)*(t + 1)/5
Solve 2/3*s + 1/6*s**4 - 2/3*s**3 - 1/2 + 1/3*s**2 = 0.
-1, 1, 3
Factor -25 + 3 - 4*z**2 + 32*z - 42.
-4*(z - 4)**2
Let d = -4 - -4. Let w be 4 + -1 - 30/12. Determine m, given that 0 + w*m - 1/2*m**3 + d*m**2 = 0.
-1, 0, 1
Let b(u) = u - 1. Let i be b(5). Let m(k) be the second derivative of 2*k + 1/4*k**2 + 0*k**3 - 1/24*k**i + 0. Factor m(a).
-(a - 1)*(a + 1)/2
Let y(s) = 3*s**2 + 5*s + 5. Suppose -4*b + 6*b + 12 = 0. Let p(a) = 3*a + 1 + 0 + 2 + 2*a**2. Let d(w) = b*y(w) + 10*p(w). Factor d(r).
2*r**2
Let i(y) be the third derivative of y**7/1365 - y**6/260 + y**5/130 - y**4/156 + 2*y**2. Factor i(s).
2*s*(s - 1)**3/13
Suppose 3*c = 4*k + 29, -9*c + 5*c = -5*k - 37. Factor 2/3*j**c - 2/3*j**5 + 0 + 0*j + 0*j**2 + 0*j**4.
-2*j**3*(j - 1)*(j + 1)/3
Suppose 10*t - 15*t + 25 = 0. Suppose 2*j - 5*a + 0 = -1, j + t*a = 7. Let -1/2 - 2*y**j + 3/4*y**3 + 7/4*y = 0. What is y?
2/3, 1
What is p in -100*p**4 - 120*p**3 - 91*p + 39 + 16 - 181*p - 7 + 444*p**2 = 0?
-3, 2/5, 1
Let g(u) be the first derivative of 0*u**2 + 3 - 1/3*u**3 + 0*u + 1/4*u**4. Factor g(r).
r**2*(r - 1)
Let d(y) be the third derivative of y**8/216 + 2*y**7/63 + 5*y**6/54 + 4*y**5/27 + 5*y**4/36 + 2*y**3/27 - 2*y**2. Let d(s) = 0. Calculate s.
-1, -2/7
Let i(m) be the first derivative of m**5/5 - m**4/2 - m**3 - 1. Find s such that i(s) = 0.
-1, 0, 3
Let x(n) be the third derivative of -n**5/30 - n**4/3 - n**3 + 6*n**2. Determine j so that x(j) = 0.
-3, -1
Let t(a) = a**3 + 16*a**2 + 15*a + 16. Let d be t(-15). Suppose 0*h = 4*h - d. Find m such that -1/4*m**2 + 5/4*m**3 - 3/4*m**h - 1/4*m + 0 = 0.
-1/3, 0, 1
Suppose -32 - 43 = -5*h. Determine c, given that -8*c - 11*c**3 + 4*c**2 + 2 - 2 + h*c**3 = 0.
-2, 0, 1
Suppose i = -i. Suppose i*d + 2*d = 0. Determine u so that d*u**2 - 2*u**3 - 3*u**4 + 0*u + u**4 + 2*u + 2*u**2 = 0.
-1, 0, 1
Let g(m) be the third derivative of -169*m**5/570 + 13*m**4/57 - 4*m**3/57 + 6*m**2 + 5*m. Factor g(c).
-2*(13*c - 2)**2/19
Let g = 17 - 11. Let p(i) be the second derivative of 2*i + 0*i**5 + 1/3*i**3 + 2/15*i**g + 0 - 1/3*i**4 + 0*i**2 - 1/21*i**7. Factor p(s).
-2*s*(s - 1)**3*(s + 1)
Let y(p) be the third derivative of -p**5/330 + 7*p**4/66 - 49*p**3/33 - 3*p**2 - 11. Determine h, given that y(h) = 0.
7
Suppose -2*b - 5*d + 2 + 3 = 0, 2*d - 2 = -3*b. Let a = 95 - 853/9. Factor 2/9*w - 4/9*w**3 + a*w**5 + 0*w**2 + b + 0*w**4.
2*w*(w - 1)**2*(w + 1)**2/9
Let n(c) = -2*c**3 + 18*c**2 - 2*c + 20. Let a be n(9). Suppose 25/2*h**a + 2 + 10*h = 0. What is h?
-2/5
Let a(x) be the second derivative of -x**7/14 + 3*x**6/5 - 9*x**5/5 + 2*x**4 - 14*x. Let a(m) = 0. Calculate m.
0, 2
Let x(m) be the first derivative of -m**3/6 + m**2/2 + 3*m/2 - 10. Factor x(z).
-(z - 3)*(z + 1)/2
Let t(q) be the second derivative of -q**7/21 + q**5/10 + 14*q. Factor t(b).
-2*b**3*(b - 1)*(b + 1)
Factor -2/11*f**3 + 200/11 - 38/11*f**2 - 160/11*f.
-2*(f - 1)*(f + 10)**2/11
Let k(o) be the second derivative of o**7/4410 - o**6/630 - o**5/70 + 7*o**4/12 - o. Let c(h) be the third derivative of k(h). Factor c(y).
4*(y - 3)*(y + 1)/7
Let k(a) be the second derivative of a**6/10 - 3*a**5/20 - 3*a**4/4 + a**3/2 + 3*a**2 - 18*a. Determine t, given that k(t) = 0.
-1, 1, 2
Let f(l) be the first derivative of -2*l**3/15 - 3*l**2/5 - 4*l/5 + 16. Factor f(j).
-2*(j + 1)*(j + 2)/5
Let l(u) be the first derivative of -49/3*u**6 - 8/3*u**3 - 42/5*u**5 + 0*u + 2 + 12*u**4 + 0*u**2. Suppose l(c) = 0. What is c?
-1, 0, 2/7
Let v(f) be the second derivative of -f**4/20 - f**3/6 + f**2/5 + 14*f. Find o, given that v(o) = 0.
-2, 1/3
Let s be (-8)/6*(-2 + -1). Let m(g) be the second derivative of 3*g + 1/12*g**s + 0 - 1/2*g**2 + 0*g**3. Factor m(x).
(x - 1)*(x + 1)
Let x(u) be the second derivative of -2/5*u**5 + 2/5*u**6 - 2/3*u**4 - 8*u - 2*u**2 - 2/21*u**7 + 0 + 2*u**3. Determine m so that x(m) = 0.
-1, 1
Let m(y) = -5*y**2 - 23*y. Let h(t) = -t**2 - 6*t. Let r(o) = -9*h(o) + 2*m(o). Factor r(f).
-f*(f - 8)
Let t(q) = 2*q**5 + 8*q**4 + 6*q**3 - q**2 - 3*q + 3. Let j(u) = -3*u**5 - 9*u**4 - 6*u**3 + 3*u - 3. Let x(i) = -5*j(i) - 6*t(i). Factor x(y).
3*(y - 1)**3*(y + 1)**2
Let j(f) be the first derivative of -35*f**4/4 - 20*f**3 - 15*f**2/2 + 10*f + 15. Factor j(q).
-5*(q + 1)**2*(7*q - 2)
Factor -2*d + d**3 + d - 4*d**2 - 4 + 5*d**2 - 3*d.
(d - 2)*(d + 1)*(d + 2)
What is o in 8*o**3 + 19*o**4 - 4*o**2 + 20*o**4 - 43*o**4 = 0?
0, 1
Let g = -77 - -77. Factor 1/2*v**4 + 1/2*v**3 - 1/2*v**5 + g - 1/2*v**2 + 0*v.
-v**2*(v - 1)**2*(v + 1)/2
Let m = -17 + 28. Factor -4*d**3 + d**3 + m*d**2 - 10*d**2 - 7*d**2 - 3*d.
-3*d*(d + 1)**2
What is h in 1 - 4 - 2*h + 3*h**2 - h**4 + 3 = 0?
-2, 0, 1
Factor -o + 2*o**2 - 3/4*o**3 + 0.
-o*(o - 2)*(3*o - 2)/4
Let w(l) be the second derivative of -l**5/4 + 3*l**4/16 - l**3/24 - 51*l. Suppose w(o) = 0. Calculate o.
0, 1/5, 1/4
Let h(j) = -j**2 - 6*j + 3. Let m be h(-6). Solve g**2 - 3*g**2 + 4*g**m - 6*g**3 = 0 for g.
-1, 0
Suppose 2*g - 7*g = -3*w + 26, 0 = -w - 5*g - 18. Solve 7 - 6 - w*c**2 + c**4 + 0*c**4 = 0.
-1, 1
Let i(k) = -34*k**3 - k - 1. Let o be i(-1). Let p(t) = -6*t**2 + 5*t + 11. Let v(g) = 1 - g + 0 - 3 + g**2. Let w(y) = o*v(y) + 6*p(y). Factor w(q).
-2*(q + 1)**2
Factor 0 + 2/13*o**4 + 16/13*o**3 + 0*o + 32/13*o**2.
2*o**2*(o + 4)**2/13
Let a(o) be the third derivative of -o**8/40320 - o**5/60 + 3*o**2. Let f(n) be the third derivative of a(n). Find c such that f(c) = 0.
0
Let h = -509/56 - -75/8. Factor -2/7*c - h*c**2 + 0 + 2/7*c**3 + 2/7*c**4.
2*c*(c - 1)*(c + 1)**2/7
Let g = 19/4 - 33/7. Let z(f) be the second derivative of -1/30*f**6 + 1/40*f**5 + 0 - 3*f + 0*f**3 + 0*f**4 - g*f**7 + 0*f**2. Solve z(r) = 0 for r.
-1, 0, 1/3
Suppose 34*x - 38*x = -12. Let l(v) be the third derivative of 0*v + 0*v**x - 7/360*v**6 + 0 + 1/36*v**4 - 1/36*v**5 - 3*v**2. Factor l(u).
-u*(u + 1)*(7*u - 2)/3
Let 0 + 0*z**3 + 0*z - 4/3*z**4 + 0*z**2 + 14/3*z**5 = 0. What is z?
0, 2/7
Let f(g) be the first derivative of 49*g**6/24 - 7*g**5/2 - 199*g**4/16 - 23*g**3/3 - 3*g**2/2 - 2. Let f(z) = 0. What is z?
-1, -2/7, 0, 3
Suppose u + 4*u = 20. Suppose -3*f = 4*m - 6, 5*f - 3 + 1 = -u*m. Find p such that 0*p + 0 + 1/4*p**m + 1/2*p**2 - 1/4*p**4 = 0.
-1, 0, 2
Let c(m) be the third derivative of -m**9/1512 + m**7/210 - m**5/60 + m**3/2 + m**2. Let t(j) be the first derivative of c(j). Factor t(g).
-2*g*(g - 1)**2*(g + 1)**2
Let y(c) be the third derivative of -1/4*c**3 + 0*c + 1/8*c**4 - 3*c**2 - 1/40*c**5 + 0. Factor y(r).
-3*(r - 1)**2/2
Let w(i) = 2*i**2 + 3*i + 13. Let v(a) be the first derivative of a**3/3 + a**2/2 + 7*a - 8. Let l(d) = -5*v(d) + 3*w(d). Factor l(k).
(k + 2)**2
Let k = -96/5 - -692/35. Factor k + 4/7*m**3 + 12/7*m**2 + 12/7*m.
4*(m + 1)**3/7
Let y(g) be the second derivative of 1/110*g**5 + 1/66*g**4 - 2*g + 0*g**2 - 2/33*g**3 + 0. Solve y(i) = 0 for i.
-2, 0, 1
Let p(m) be the third derivative of m**8/3360 - m**7/420 + m**6/120 - m**5/60 + m**4/8 - m**2. Let b(c) be the second derivative of p(c). Factor b(l).
2*(l - 1)**3
Let q(f) be the second derivative of -1/6*f**4 - 3*f + 0*f**2 + 0 + 1/3*f**3. Factor q(r).
-2*r*(r - 1)
Let p be 1/2 - (-20)/(-8). Let v = p - -5. Determine l so that 3*l**v - 1 - 2*l**4 + 2*l**2 - 2*l**5 - l**3 + 1 = 0.
-1, 0, 1
Let s(t) be the third derivative of -t**5/150 + t**4/30 - 5*t**2. Let s(h) = 0. Calculate h.
0, 2
Let w(b) be the second derivative of b**6/240 - b**5/80 - b**4/32 + b**3/12 + b**2/4 - 22*b. What is r in w(r) = 0?
-1, 2
Let n(q) be the second derivative of 49*q**4/24 - 7*q**3/3 + q**2 + q. Factor n(a).
(7*a - 2)**2/2
Let m be (-3)/6 - 46/(-80). Let w(i) be the second derivative of 1/4*i**3 + 0 + 1/24*i**4 - 1/2*i**2 + 3*i - m*i**5 + 1/60*i**6.