6. Factor v(f).
-5*f**2*(f + 1)**3
Factor 29/4*v**3 + 79/4*v + 81/4*v**2 + 1/4*v**4 + 13/2.
(v + 1)**3*(v + 26)/4
Factor -1/3*c**3 - 323/3*c - 35/3*c**2 - 289/3.
-(c + 1)*(c + 17)**2/3
Find s, given that -12 - 18*s - 9*s**2 - 3/2*s**3 = 0.
-2
Let j(s) be the third derivative of s**8/5880 - s**7/2940 - s**3/2 + 8*s**2. Let w(v) be the first derivative of j(v). Determine l so that w(l) = 0.
0, 1
Let k be 0 + -2 + (-524)/(-528) + 1. Let h = 257/924 - k. Factor -1/7*g**4 - 2/7*g + 0*g**2 + 1/7 + h*g**3.
-(g - 1)**3*(g + 1)/7
Determine j so that -21*j - 64*j - j**3 + 72*j**2 + 40 - 4*j**3 - 22*j**2 = 0.
1, 8
Let v = -38 + 38. Solve -7*a**3 - 27*a**2 + 6*a + 19*a**3 + v*a**2 = 0.
0, 1/4, 2
Let y(o) be the first derivative of -2/3*o**3 + 0*o**2 + 0*o + 1/20*o**5 - 4 - 1/120*o**6 + 0*o**4. Let c(m) be the third derivative of y(m). Factor c(s).
-3*s*(s - 2)
Let m = 41 - 38. Let a be 4*(m + (0 - 2)) - 3. Solve -1/2*w**4 + 3/2*w**2 - 5/2*w + 1/2*w**3 + a = 0.
-2, 1
Let m(y) be the first derivative of -2*y**5/45 - y**4/9 + 2*y**3/9 + 4*y**2/9 - 8*y/9 + 109. Factor m(v).
-2*(v - 1)**2*(v + 2)**2/9
Let h(j) be the first derivative of 5*j**3/3 + 150*j**2 - 620*j + 208. Factor h(x).
5*(x - 2)*(x + 62)
Let i(u) be the first derivative of -3*u**5/80 + u**4/8 + 10*u - 27. Let r(s) be the first derivative of i(s). Factor r(b).
-3*b**2*(b - 2)/4
Let f = 66 + -70. Let i be -28*f/(-40) + 4. Solve i*a + 0 - 2/5*a**2 = 0 for a.
0, 3
Solve 5*o**3 - 80*o + 2*o**2 - 5*o**2 + 71*o - o**4 = 0.
-1, 0, 3
Let c be -9 - (-48)/7 - -3. Let 2/7*v**4 + 6/7*v**2 + 0 + c*v**3 + 2/7*v = 0. What is v?
-1, 0
Let z(m) = -m**3 - m**2 + 2. Let k be z(0). Let n be 1/k + (-4)/56. Solve 3/7*w**4 + 0 - 3/7*w**3 + n*w - 3/7*w**2 = 0 for w.
-1, 0, 1
Let k(o) be the third derivative of 2*o**7/525 - o**6/50 - o**5/75 + o**4/10 - 47*o**2 + 2*o. Factor k(w).
4*w*(w - 3)*(w - 1)*(w + 1)/5
Suppose 3*v - 6*v - n + 15 = 0, 0 = -v + 3*n + 5. Factor -6*l**2 + 4*l**2 + 3*l**2 - v*l**2 - 16 - 16*l.
-4*(l + 2)**2
Suppose 0 = -1224*x + 1244*x. Factor x - 2/5*m**2 - 6/5*m.
-2*m*(m + 3)/5
Let w(k) be the first derivative of -k**7/840 - k**6/180 + k**5/120 + k**4/12 - k**3/3 + 17. Let c(q) be the third derivative of w(q). Factor c(m).
-(m - 1)*(m + 1)*(m + 2)
Let u(y) be the first derivative of -2*y**5/95 - 17*y**4/38 - 52*y**3/19 - 32*y**2/19 + 256*y/19 - 117. Solve u(l) = 0.
-8, -2, 1
Let y(v) = v - 3. Let k be (6/(-18))/(2/(-48)). Let g be y(k). Let -g*h**2 + 3 + 5 - 50*h**3 + 4*h - 3*h**2 + 46*h**3 = 0. Calculate h.
-2, -1, 1
Let i = -12 + 16. Let q be (-2 + i)/(-2 + 3). Factor -2*p**q + 4*p**2 - 8 + 0*p**2.
2*(p - 2)*(p + 2)
Let v(q) be the second derivative of q**6/120 + q**5/80 - q**4/16 - q**3/24 + q**2/4 + 73*q. Let v(a) = 0. What is a?
-2, -1, 1
Let y(g) be the second derivative of -g**5/90 - 2*g**4/9 - 5*g**3/3 - 6*g**2 + 16*g. Factor y(h).
-2*(h + 3)**2*(h + 6)/9
Let m(g) be the first derivative of 1/15*g**3 + 4/5*g**2 + 16/5*g - 10. Factor m(v).
(v + 4)**2/5
Let i(z) be the third derivative of -z**8/112 + 3*z**7/70 - z**6/20 - 4*z**2 + 24*z. Solve i(q) = 0 for q.
0, 1, 2
Let k(h) be the first derivative of -h**3/5 + 18*h**2/5 - 12*h - 133. Suppose k(q) = 0. Calculate q.
2, 10
Suppose 28 = -15*y + 73. Solve -15*m**y - 29*m + 22*m**2 + 3*m**4 - 2*m**3 - 22*m + 43*m = 0 for m.
0, 2/3, 1, 4
Suppose 0*v + 3*y = 4*v - 16, 0 = 3*y. Suppose v*n - 100 = -4*b, -2*n + 0*n = 4. Factor -9*j**2 - j**4 + 0*j**2 + 15*j**3 - 2*j**4 - b*j + 0*j**2.
-3*j*(j - 3)**2*(j + 1)
Let k(b) be the third derivative of -1/3*b**4 + 0 - 1/30*b**5 + 0*b + 12*b**2 - b**3. Solve k(a) = 0.
-3, -1
Suppose d = s, 0 = -s - d - 20 + 24. Determine y so that -576/7 - 4/7*y**s - 96/7*y = 0.
-12
Let b be 6/16*(-172)/(-129). Factor -3/4*v - b*v**2 + 0 + 1/4*v**3.
v*(v - 3)*(v + 1)/4
Let s = 901/42 + -127/6. Factor 9/7*c - s - c**2.
-(c - 1)*(7*c - 2)/7
Let j = -58937/66 - -893. Let m(o) be the third derivative of j*o**4 + 0*o - 10*o**2 - 1/330*o**5 + 0 - 1/33*o**3. Factor m(r).
-2*(r - 1)**2/11
Let g(t) = -3*t**5 - 7*t**4 - t**3 + 3*t**2 - 4*t + 8. Let j(q) = 3*q**5 + 6*q**4 - 3*q**2 + 3*q - 6. Let h(b) = 3*g(b) + 4*j(b). What is k in h(k) = 0?
-1, 0, 1
Let q(j) = 2*j**2 - 92*j + 1061. Let a(b) = 12*b**2 - 552*b + 6365. Let u(d) = -6*a(d) + 34*q(d). Factor u(n).
-4*(n - 23)**2
Determine u, given that 0 - 5/4*u**2 - u**3 - 1/4*u**4 - 1/2*u = 0.
-2, -1, 0
Let y(l) be the first derivative of 3*l**4/14 - 127*l**3/7 + 27*l**2/2 - 26. Determine x, given that y(x) = 0.
0, 1/2, 63
Factor 24 + 883*s**3 - 880*s**3 + 0*s**2 + 2*s**2 - 8*s**2 - 12*s.
3*(s - 2)**2*(s + 2)
Let z(g) be the first derivative of -1/6*g**4 + 0*g**2 + 1/30*g**5 - 1/360*g**6 + 0*g + 3 - 8/3*g**3. Let x(r) be the third derivative of z(r). Factor x(j).
-(j - 2)**2
Let x = -1/68 - -81/17. Let u = -9/2 + x. Let -1/4*s + u*s**2 - 1/2 = 0. What is s?
-1, 2
Let r(z) be the second derivative of -z**4/30 - z**3/15 - 41*z. Factor r(y).
-2*y*(y + 1)/5
Suppose 10/3*r + 1/6*r**2 + 19/6 = 0. What is r?
-19, -1
Let c = -21829 - -21832. Factor 0 - 4/5*m + m**c - 8/5*m**2.
m*(m - 2)*(5*m + 2)/5
Factor -30*q + 3 - 10 - 38*q**2 + 43*q**2 + 7.
5*q*(q - 6)
Let q be (6/12)/(2/(-40) + 0). Let g be (18/60)/((6/q)/(-1)). Factor 3/2*t**4 + 6*t**2 - 3*t - 5*t**3 + g.
(t - 1)**3*(3*t - 1)/2
Let f be (-1*2)/(20/(-40)). Let t(c) be the first derivative of -1/2*c**f + 6 - 2/3*c**3 + 0*c + 0*c**2. Suppose t(q) = 0. Calculate q.
-1, 0
Let y(x) be the first derivative of 2/5*x**4 - 2/25*x**5 - 4/5*x**2 - 4/15*x**3 + 28 + 6/5*x. Find s such that y(s) = 0.
-1, 1, 3
Let b(t) be the third derivative of -t**8/1176 + 4*t**7/735 + 13*t**6/420 - 2*t**5/105 - t**4/7 - 52*t**2. Solve b(d) = 0 for d.
-2, -1, 0, 1, 6
Let c(b) be the third derivative of 1/6*b**4 + 0 + 1/6*b**3 + 0*b - 1/30*b**6 - 31*b**2 - 1/60*b**5. Factor c(y).
-(y - 1)*(y + 1)*(4*y + 1)
Let v(w) = -19 + 10 - 24*w + 9. Let q be v(0). Factor 2/13*o - 4/13*o**2 + q + 2/13*o**3.
2*o*(o - 1)**2/13
Suppose 12 + 83 = 19*y. Let c(j) be the third derivative of 0*j + 2*j**2 - 1/20*j**6 + 0 + 5/2*j**4 + 1/10*j**7 - 2*j**3 - 21/20*j**y. Solve c(r) = 0 for r.
-2, 2/7, 1
Let j(l) be the third derivative of -l**6/220 + 4*l**5/165 - l**4/33 + 17*l**2. Factor j(v).
-2*v*(v - 2)*(3*v - 2)/11
Let u(j) = -j**3 + j**2 - j + 2. Let o be u(0). Let z be (o/10)/(14/105). Factor 2*l**4 + 1/3*l**2 + 0 - z*l**3 + 0*l - 5/6*l**5.
-l**2*(l - 1)**2*(5*l - 2)/6
Let t(x) = x**2 - 9*x + 22. Let s be t(5). Let p(r) be the first derivative of -2*r**s - 4*r**3 + r**4 - 7 + 8*r + 4/5*r**5. Solve p(l) = 0.
-2, -1, 1
Let d(f) = 2*f**3 - 9*f**2 + 5*f - 12. Let g(v) = -v**3 + 4*v**2 - v + 6. Let q(o) = -4*d(o) - 7*g(o). Factor q(k).
-(k - 6)*(k - 1)**2
Let h = 5732/15 + -382. Let q(d) be the second derivative of 1/8*d**5 - h*d**6 - 1/24*d**4 + 1/21*d**7 - d + 0*d**2 + 0 + 0*d**3. Solve q(o) = 0.
0, 1/2, 1
Let s(i) = 7*i**2 - 2*i - 10*i + 8*i**4 - 13*i**3 - 3*i**2 + 28*i**2 - 5. Let c(u) = u**4 + u**3 + u**2 - 1. Let n(f) = -5*c(f) + s(f). Factor n(m).
3*m*(m - 4)*(m - 1)**2
Let v(g) = -g**3 - 4*g**2 - g + 1. Let f be v(-4). Suppose 3*k + 6 = 0, 5*s - f*k - 20 = 3*s. Factor -s*a**2 - a**2 - 2*a**3 + 4*a**2.
-2*a**2*(a + 1)
Let x(p) be the first derivative of -2*p**5/5 - 4*p**4 - 14*p**3/3 + 169. Factor x(v).
-2*v**2*(v + 1)*(v + 7)
Let g(u) = -180*u**3 + 396*u**2 - 94*u - 12. Let b(i) = 36*i**3 - 79*i**2 + 19*i + 2. Let n(w) = 28*b(w) + 6*g(w). Factor n(p).
-4*(p - 2)*(2*p - 1)*(9*p + 2)
Let r(s) = -3*s**3 - 3*s**2 + 12*s + 1. Let v(b) = -2*b**3 + b**2 + 1. Let u(p) = 3*r(p) - 3*v(p). Factor u(q).
-3*q*(q - 2)*(q + 6)
Let b be 56/6*(-2)/(-16). Let x be (-37 + 9)*(-2)/(-12) + 5. Factor x - 11/6*g - b*g**3 + 8/3*g**2.
-(g - 1)**2*(7*g - 2)/6
Let m(x) be the third derivative of -x**7/280 - x**6/40 - x**5/20 - 5*x**3/3 + 7*x**2. Let f(z) be the first derivative of m(z). Solve f(a) = 0 for a.
-2, -1, 0
Let d(l) be the first derivative of l**6/105 - 3*l**5/70 + l**4/14 - l**3/21 - 13*l + 16. Let p(u) be the first derivative of d(u). Factor p(f).
2*f*(f - 1)**3/7
Let k(o) be the third derivative of -1/40*o**4 + 1/300*o**5 + 1/1050*o**7 + 0*o + 17*o**2 + 1/200*o**6 + 0 - 1/15*o**3. Solve k(p) = 0.
-2, -1, 1
Suppose x = 3*l - 2*l + 1, -l - 7 = -3*x. Let 12*k**2 + 23*k**2 + 4*k**x - 47*k**2 - 20*k - 8 +