Let w(f) be the second derivative of -18*f + 0 + 0*f**4 + 0*f**6 + 0*f**2 + 1/84*f**7 + 0*f**5 + 0*f**3. Factor w(c).
c**5/2
Suppose 0*l + 3*l - 5*u - 16 = 0, 3*u + 15 = 0. Let w(k) = k**2 + 2*k - 1. Let o be w(l). Factor 4*i + 2*i**3 + 2 - 2*i + 0*i + 6*i**o + 4*i.
2*(i + 1)**3
Determine t so that -10*t - 5*t + 48*t + 5*t**2 + 7*t + 25*t = 0.
-13, 0
Let c = 3272/5 - 652. Let l(z) = 2*z - 14. Let j be l(7). Factor 0 + j*v + 0*v**2 + 32/5*v**4 + 16/5*v**3 + c*v**5.
4*v**3*(v + 2)*(3*v + 2)/5
Let y = 26 - 12. Suppose 8*t + 14 - y = 0. Solve 12/5*v**4 - 3*v**3 - 3/5*v**5 + 0 + 6/5*v**2 + t*v = 0.
0, 1, 2
Let b(p) be the first derivative of -25*p**7/42 + 4*p**6/3 - p**5/4 - 5*p**4/6 - 25*p - 21. Let c(m) be the first derivative of b(m). Factor c(g).
-5*g**2*(g - 1)**2*(5*g + 2)
Suppose -49*u = -u - 96. Find q, given that 2*q + 1/2*q**u + 2 = 0.
-2
Let k be (-80)/60 + (-2 - -2 - (-10)/3). Factor -5/4 + 5/4*d + 15/4*d**3 + 25/4*d**k.
5*(d + 1)**2*(3*d - 1)/4
Let p(f) = -5*f**3 + 12*f**2 - 2*f - 2. Let l be (-1 - -2)/((-1)/2). Let x(b) = 6*b**3 - 12*b**2 + 3*b + 3. Let o(g) = l*x(g) - 3*p(g). Solve o(n) = 0 for n.
0, 4
Let g(z) be the third derivative of z**3 + 0 + z**2 + 3/4*z**4 + 0*z + 3/40*z**6 + 13/40*z**5 + 1/140*z**7. Determine v, given that g(v) = 0.
-2, -1
Let t(v) be the second derivative of v**6/15 - 3*v**5/10 - 2*v**4/3 + 4*v**3 + 2*v + 19. Factor t(g).
2*g*(g - 3)*(g - 2)*(g + 2)
Let f(l) be the third derivative of l**5/390 + l**4/26 + 3*l**3/13 - 2*l**2 - 14*l. Factor f(d).
2*(d + 3)**2/13
Let m(v) = 3*v**3 + 100*v**2 - 201*v + 94. Let a(x) = 21*x**3 + 699*x**2 - 1407*x + 660. Let n(f) = 4*a(f) - 27*m(f). Find l, given that n(l) = 0.
-34, 1
Suppose -3 = -3*a + 9. Suppose -a*m + m = m. Factor m - 12/5*f - 3*f**3 + 36/5*f**2.
-3*f*(f - 2)*(5*f - 2)/5
Suppose f - 5*u - 23 = 0, 0 = -4*f + 3*u + 2*u + 17. Let b be ((-5)/f)/((-1)/(-6)). Solve r**4 - r - 8*r - r**3 + b*r**2 - 6*r**3 = 0.
0, 1, 3
Solve -26/15*i**2 - 26/15*i**3 + 2/15*i**5 + 2/15*i**4 + 24/5 + 24/5*i = 0 for i.
-3, -2, -1, 2, 3
Suppose -7*g + 32 = 11. Let c(z) be the third derivative of 1/30*z**5 + 0 + 1/6*z**4 + 0*z**g - z**2 + 0*z. Factor c(f).
2*f*(f + 2)
Find b, given that -140*b - 53*b**3 - 67*b**4 - 104*b**4 + 160*b**2 + 15*b**5 + 208*b**3 + 41*b**4 = 0.
-1, 0, 2/3, 2, 7
Let n(b) be the first derivative of 35*b**3/6 + 135*b**2/2 - 40*b - 47. Find p, given that n(p) = 0.
-8, 2/7
Let z(j) = -8*j**2 + 151*j + 150. Let a(n) = -65*n**2 + 1210*n + 1200. Let r(q) = -3*a(q) + 25*z(q). Factor r(o).
-5*(o - 30)*(o + 1)
Find k such that -2/7*k**2 + 60/7 + 58/7*k = 0.
-1, 30
Let s(q) be the first derivative of q**9/6048 - q**7/840 + q**5/240 + 4*q**3 - 2. Let c(f) be the third derivative of s(f). Factor c(p).
p*(p - 1)**2*(p + 1)**2/2
Let d = 15 - 12. Let b(f) = 7*f**4 - 4*f**2 + 378*f**3 - 378*f**d. Let j(n) = n**4 - n**3 - n**2. Let x(c) = -b(c) + 3*j(c). Suppose x(k) = 0. What is k?
-1, 0, 1/4
Let h(d) be the third derivative of 0*d - 21*d**2 + 0 + 1/330*d**5 - 1/660*d**6 - 4/33*d**3 + 1/33*d**4. Determine y so that h(y) = 0.
-2, 1, 2
Let a = 659 + -655. Let d(t) be the first derivative of 1/6*t**3 + 8 + 1/24*t**a + 1/6*t + 1/4*t**2. Solve d(k) = 0.
-1
Let y(u) be the first derivative of -12*u**5/5 + 3*u**4 + 19*u**3 + 21*u**2 + 9*u + 76. Let y(t) = 0. Calculate t.
-1, -1/2, 3
Let v be 322/69*(-30)/(-98). Factor 4/7 - v*p + 2/7*p**2 + 4/7*p**3.
2*(p - 1)*(p + 2)*(2*p - 1)/7
Suppose z = -3*z - 192. Let q = z - -48. Suppose 0*m**3 + 1/3*m**2 + q*m - 1/6*m**4 - 1/6 = 0. Calculate m.
-1, 1
Let z = -4/95 - -103/190. Factor 1/4*m + z*m**2 + 0 + 1/4*m**3.
m*(m + 1)**2/4
Let r be 6 + 416/(-65) - (-34)/10. Let j(w) be the third derivative of 1/3*w**r - 5*w**2 + 0*w + 1/30*w**5 + 0 + 1/6*w**4. Factor j(f).
2*(f + 1)**2
Let l(g) be the third derivative of g**6/180 + 2*g**5/15 + 4*g**4/3 - 3*g**3/2 - 16*g**2. Let o(n) be the first derivative of l(n). Factor o(r).
2*(r + 4)**2
Let x(c) be the second derivative of -c**7/2940 - c**6/420 - c**5/140 - c**4/84 + 11*c**3/6 - 18*c. Let d(p) be the second derivative of x(p). Factor d(t).
-2*(t + 1)**3/7
Let i(x) be the second derivative of -x**9/3780 + x**8/840 - x**7/630 + x**4/4 + 2*x. Let o(k) be the third derivative of i(k). Factor o(a).
-4*a**2*(a - 1)**2
Let b(d) = -20*d**2 - 10*d - 38. Let a(g) = 3*g**2 - g. Let m(q) = -14*a(q) - 2*b(q). Factor m(p).
-2*(p - 19)*(p + 2)
Let k be (-85)/(-45) + 7 + -8. Let l(w) = -w**2 - 7*w + 10. Let r be l(-8). Factor -k*a**3 - 10/9*a + 2/9 + 16/9*a**r.
-2*(a - 1)*(2*a - 1)**2/9
Let g(u) be the first derivative of u**6/80 - u**5/30 + u**4/48 + u**2 + 1. Let j(r) be the second derivative of g(r). Solve j(w) = 0 for w.
0, 1/3, 1
Let o be 2/15 - 12/(-18). Factor 0 - 2/5*j**4 - o*j**2 + 0*j + 6/5*j**3.
-2*j**2*(j - 2)*(j - 1)/5
Suppose -46/5*a**2 + 87/5*a - 36/5 + 7/5*a**3 = 0. What is a?
4/7, 3
Let b be 2 + (9 - (-11)/(66/(-48))). Let c(m) be the third derivative of 1/24*m**b + 0 + 1/240*m**5 - m**2 + 0*m + 1/48*m**4. Factor c(j).
(j + 1)**2/4
Let c(a) be the third derivative of -a**6/60 - a**5/5 + 7*a**4/12 - 30*a**2. Factor c(k).
-2*k*(k - 1)*(k + 7)
Let a(o) be the first derivative of -4/3*o**3 + 4*o + 2*o**2 - o**4 + 1. Factor a(s).
-4*(s - 1)*(s + 1)**2
Let h(k) be the first derivative of -4/3*k**3 + 0*k + 12 - 4*k**2. Factor h(f).
-4*f*(f + 2)
Let n = 124 + -66. Find h, given that n*h**2 - 4*h + 16*h**3 - 2*h - 49*h**2 - 6*h**4 - 7*h**3 = 0.
-1, 0, 1/2, 2
Factor -570*y**4 + 574*y**4 - 5*y**3 + 24*y**2 - 23*y**3.
4*y**2*(y - 6)*(y - 1)
Find d, given that 14/5*d**2 + 2/5*d**3 + 28/5*d + 16/5 = 0.
-4, -2, -1
Let l(n) = 3*n**4. Let q(x) = 25*x**4. Suppose 11*z = 5*z + 12. Suppose -2*y + z - 14 = 0. Let t(a) = y*q(a) + 51*l(a). Factor t(m).
3*m**4
Let g(t) be the third derivative of -1/20*t**5 + 0 + 0*t - t**3 - 25*t**2 + 5/16*t**4 + 1/320*t**6. Determine i, given that g(i) = 0.
2, 4
Let y(q) = q**3 - q**2 + q. Let g(w) = 3*w**3 - 7*w**2 + 5*w. Let t be (-1 - (0 - 2))/(-1). Let h(o) = t*g(o) + 5*y(o). Factor h(k).
2*k**2*(k + 1)
Suppose -5 - 5 = -5*s. Suppose 5*w - 6*w = -s. Factor -5*m**w + 3*m**2 + 3*m**2.
m**2
Suppose -3*w + 6 = 3*t, -4*w + 21*t + 9 = 24*t. Let h = -170 + 1199/7. Factor -x**w + h*x**2 + 2/7*x**4 - 5/7*x + 1/7.
(x - 1)**3*(2*x - 1)/7
Let t(v) be the third derivative of 0*v + 1/2*v**4 + 7/30*v**6 + 2/3*v**5 + 0 - 2*v**2 + 0*v**3. Determine w, given that t(w) = 0.
-1, -3/7, 0
Suppose -4 = 2*z - 2*o, 9*z + 2*o = 14*z - 5. Let i(w) be the third derivative of 0*w - 4*w**2 - 1/24*w**z - 1/240*w**5 + 0 + 1/48*w**4. Factor i(y).
-(y - 1)**2/4
Let x(m) = 2*m**3 + 78*m**2 + 83*m + 269. Let u be x(-38). Factor -2/7*w**2 + 2/7*w**u + 0 + 0*w.
2*w**2*(w - 1)/7
Factor 20/3*t - 2/3*t**2 + 16.
-2*(t - 12)*(t + 2)/3
Let j(d) be the third derivative of d**8/168 + d**7/5 + 23*d**6/30 - 111*d**5/5 + 1105*d**4/12 - 169*d**3 + 866*d**2. What is b in j(b) = 0?
-13, 1, 3
Let v = -10 + 15. Let u = v - 1. Factor -3*z**3 - 2*z**u + z + 2*z**3 + z**2 + z**4.
-z*(z - 1)*(z + 1)**2
Determine d so that -133*d**2 - 104*d**2 + 207*d**2 - 51*d**3 - 3*d**4 - 3*d**5 - 21*d**4 = 0.
-5, -2, -1, 0
Let m(q) be the third derivative of q**7/70 - q**6/25 + q**5/100 + q**4/20 - q**2 - 95*q. Suppose m(b) = 0. What is b?
-2/5, 0, 1
Let l be -1*3 + -3 + 22/2. Let z(q) be the first derivative of q**2 + 0*q**l + 1/9*q**6 + 4/3*q - 3 - 4/9*q**3 - 2/3*q**4. Let z(m) = 0. Calculate m.
-1, 1, 2
Let w be (-6)/48 + (-4)/(-32). Determine m, given that 6/7*m + w + 2/7*m**2 = 0.
-3, 0
Let f(w) = 2*w**3 - 86*w**2 - 282*w - 218. Let o(y) = -y**3 + 29*y**2 + 94*y + 73. Let x(l) = 3*f(l) + 8*o(l). Find b such that x(b) = 0.
-7, -5, -1
Let b(w) be the third derivative of -w**5/12 + 15*w**3/2 + 2*w**2 + 124*w. Factor b(k).
-5*(k - 3)*(k + 3)
Let l(t) be the first derivative of -19 - 2*t**2 - t**4 - 8/3*t**3 + 0*t. Suppose l(x) = 0. Calculate x.
-1, 0
Factor 0*b**2 + 0*b**3 + 0*b - 2/9*b**5 - 2/9*b**4 + 0.
-2*b**4*(b + 1)/9
Let p be 4/10*(3 - -2). Let q be (1 - p)/(3 + -2). Let f(c) = 3*c**4 - 8*c**3 + 6*c**2 + 4*c + 3. Let v(x) = -x - 1. Let z(g) = q*f(g) - 4*v(g). Factor z(l).
-(l - 1)**3*(3*l + 1)
Let q be (144/(-108))/(4/(-2)). Solve -2/3*z**2 - q*z + 0 = 0.
-1, 0
Let n(j) = -3*j - 16. Let a be n(0). Let m be 1/(-3) + (a - -17). Determine w, given th