/2 - 14. Factor m(v).
(v - 1)**2*(v + 7)*(4*v - 1)/2
Let l(i) be the first derivative of 1/27*i**6 + 1/6*i**4 + 5 + 2/27*i**3 - 3*i + 0*i**2 + 2/15*i**5. Let m(a) be the first derivative of l(a). Factor m(n).
2*n*(n + 1)**2*(5*n + 2)/9
Let o(q) be the second derivative of 3*q**5/20 + 11*q**4/4 + 19*q**3/2 + 27*q**2/2 + 78*q. Factor o(k).
3*(k + 1)**2*(k + 9)
Let o(r) be the second derivative of -r**5/30 - 5*r**4/9 - 32*r**3/9 - 32*r**2/3 + 66*r. Factor o(c).
-2*(c + 2)*(c + 4)**2/3
Let v be 37/13 + 2/13. Let l be 10*(80/(-28) + v). What is r in 0 + 2/7*r**5 - 6/7*r**3 - 4/7*r + l*r**2 - 2/7*r**4 = 0?
-2, 0, 1
Let w(z) = -32*z**2 + 29*z + 17. Let h(x) = -11*x**2 + 10*x + 6. Suppose 21*v + 68 = 17*v. Let o(c) = v*h(c) + 6*w(c). Factor o(u).
-u*(5*u - 4)
Suppose 2*b - 3*w = 19, 5*b + 5*w = 2 - 17. Let r(m) be the third derivative of -1/12*m**4 + 0*m + 1/30*m**5 + 0*m**3 + 8*m**b + 0. Find h such that r(h) = 0.
0, 1
Determine s so that 3967/9*s**3 - 1558/9*s**2 - 2810/9*s**4 + 325/9*s**5 + 20/9*s + 56/9 = 0.
-2/13, 2/5, 1, 7
Find r such that -6*r**3 + 0*r + 64/3 - 2/3*r**4 - 44/3*r**2 = 0.
-4, -2, 1
Let u(l) = 50*l - 495. Let p be u(10). Let o(b) be the second derivative of -1/18*b**4 + 1/30*b**p - b + 1/3*b**2 + 0 - 1/9*b**3. Let o(y) = 0. Calculate y.
-1, 1
Let t(b) be the third derivative of -b**6/480 - b**5/80 + b**4/4 + 10*b**3/3 + 28*b**2 + 5*b. Determine c so that t(c) = 0.
-4, 5
Factor -3/7*s**2 - 3*s + 0.
-3*s*(s + 7)/7
Solve 94*u - 28*u**3 - 234*u**4 + 238*u**4 - 80*u + 14*u**5 - 8*u**2 + 4 = 0 for u.
-1, -2/7, 1
Let p(k) be the second derivative of 2*k**6/45 - 126*k. Factor p(w).
4*w**4/3
Let n(r) = r**3 + 9*r**2 - 45*r - 41. Let o(l) = -15*l**3 - 125*l**2 + 630*l + 575. Let z(s) = 55*n(s) + 4*o(s). Factor z(u).
-5*(u - 3)*(u + 1)*(u + 3)
Let m be 472/413*(0 + 1). What is z in -4/7*z**2 - 4/7 + m*z = 0?
1
Let d(r) = -5*r + 49. Let b be d(9). Let l(s) be the first derivative of 0*s**3 + 1/24*s**6 + 0*s + 1/16*s**b + 0*s**2 - 6 + 1/10*s**5. Factor l(p).
p**3*(p + 1)**2/4
Let d = 1531/345 + -99/23. Let a(y) be the second derivative of 0*y**2 - 10*y + 0 + d*y**6 + 0*y**3 + 0*y**4 + 1/21*y**7 + 1/10*y**5. Factor a(z).
2*z**3*(z + 1)**2
Let n = -35/683 - -2837/2049. Factor -n + 10/3*g + 2/3*g**3 - 8/3*g**2.
2*(g - 2)*(g - 1)**2/3
Factor -435*i**2 - 15 + 436*i**2 + 3 + 11*i.
(i - 1)*(i + 12)
Let x(i) = 3*i**2 + 23*i - 34. Let p(f) = -35*f**2 - 275*f + 410. Let a(s) = -2*p(s) - 25*x(s). Solve a(z) = 0.
-6, 1
Let c(n) = 3*n + 66. Let j be c(-23). Let b be 9/(-108)*(j + -1). Determine g so that -2/3*g + 0 + 1/3*g**4 - b*g**5 + g**3 - 1/3*g**2 = 0.
-1, 0, 1, 2
Suppose 2*o - 13 = f, 0 = -5*o + 3*o + 5*f + 1. Let v be -2 + 20*-2*o/(-150). Determine u, given that 2/15 + 4/15*u + v*u**2 = 0.
-1
Let u(d) be the first derivative of 3/35*d**5 - 1/7*d**3 + 0*d**4 + 0*d - 37 + 0*d**2. Solve u(s) = 0 for s.
-1, 0, 1
Let c(n) be the third derivative of -n**5/300 + 79*n**4/60 - 6241*n**3/30 - 205*n**2. Factor c(k).
-(k - 79)**2/5
Suppose 0 = 6*f - 60 - 24. Factor 27*u**2 - 9*u**2 - f*u**2 - 16 + 16*u - 4*u**3.
-4*(u - 2)*(u - 1)*(u + 2)
Let x(t) be the third derivative of t**5/450 - 11*t**4/60 - t**2 - 86*t. Determine c, given that x(c) = 0.
0, 33
Determine b so that 8*b**4 + 4*b**2 - 3*b - 12*b**3 + 3*b**2 - 2*b**4 + 3*b**2 - b**5 = 0.
0, 1, 3
Let y(m) be the third derivative of m**5/180 + 41*m**4/18 + 3362*m**3/9 + 8*m**2 - 5*m. Factor y(u).
(u + 82)**2/3
Let g(i) be the first derivative of 2*i**5/75 + i**4/6 + 14*i**3/45 + i**2/5 - 94. What is y in g(y) = 0?
-3, -1, 0
Suppose -84 - 82 = -83*q. Let -2/5*g**3 - 2/5*g**5 + 0 + 0*g**q + 4/5*g**4 + 0*g = 0. What is g?
0, 1
Let d be (-10)/3*18/15. Let g be 4*4/(-32)*d. What is w in 12*w - 9*w**g + 8*w**2 - 10*w - 1 = 0?
1
Let o = -8 + 13. Let y(k) = k**2 - 3*k + 4. Let r(h) = -2*h**2 + 6*h - 9. Let b(z) = o*y(z) + 2*r(z). Factor b(i).
(i - 2)*(i - 1)
Let a be 9/6 - 4/(-8). What is k in -8*k - 17 - a*k**2 + 2*k + 13 = 0?
-2, -1
Let s be 2 + (-66)/10 + 7/7. Let u = -16/5 - s. Factor u*w**3 + 0*w + 0 + 0*w**2.
2*w**3/5
Let r(q) be the first derivative of -105*q**4/4 + 230*q**3/3 - 145*q**2/2 + 20*q - 301. Factor r(v).
-5*(v - 1)**2*(21*v - 4)
Let j be -1*(5 + -3) - -3. Factor -j - 2*h**2 - 7*h + h**2 - 8 + 3.
-(h + 1)*(h + 6)
Suppose -31*p + 4*h = -30*p + 8, 4*h - 16 = -p. Let f(r) be the second derivative of 7*r + 1/33*r**3 + 1/66*r**p + 0*r**2 + 0. Suppose f(s) = 0. Calculate s.
-1, 0
Let q(b) = b**3 + 12*b**2 + 12*b + 13. Let y be q(-11). Factor -w + w + y*w**2 - 43*w**4 + 41*w**4.
-2*w**2*(w - 1)*(w + 1)
Let c(x) = x**3 + 21*x**2 - 21*x - 30. Let z(m) = -m**3 - 10*m**2 + 10*m + 16. Let u(b) = -3*c(b) - 5*z(b). Factor u(n).
(n - 5)*(n - 2)*(2*n + 1)
Let p(b) be the second derivative of -7/6*b**3 + 0*b**2 - 1/12*b**4 + 0 - b. Factor p(w).
-w*(w + 7)
Let v(r) be the first derivative of -r**6/60 + 7*r**5/30 - 5*r**4/4 + 3*r**3 + 11*r**2/2 + 10. Let k(s) be the second derivative of v(s). Factor k(q).
-2*(q - 3)**2*(q - 1)
Let b(a) be the second derivative of a**6/165 - 2*a**5/55 + 2*a**4/33 - 60*a. Let b(c) = 0. Calculate c.
0, 2
Let m(a) be the second derivative of a**7/63 + 7*a**6/45 + a**5/2 + a**4/2 + 28*a. Factor m(t).
2*t**2*(t + 1)*(t + 3)**2/3
Suppose 7 + 1/2*k**2 - 9/2*k = 0. Calculate k.
2, 7
Let u(y) = -y**3 - y. Let x(o) = o**3 + 7*o**2 + 2*o. Let d(c) = 6*u(c) + 3*x(c). Factor d(j).
-3*j**2*(j - 7)
Let q be (((-6939)/(-21))/3)/(12/16). Let h = 147 - q. Factor 0*v + 0 - h*v**2.
-v**2/7
Let a be 532/1505 - (-16)/344. Factor 4/5*r**3 - 16/5*r + a*r**4 - 8/5*r**2 + 0.
2*r*(r - 2)*(r + 2)**2/5
Let g(n) = 8*n**4 + 1038*n**3 - 28*n**2 + 7*n + 7. Let j(z) = -4*z**4 - 520*z**3 + 16*z**2 - 4*z - 4. Let m(d) = 4*g(d) + 7*j(d). Factor m(f).
4*f**3*(f + 128)
Let t = -24 + 27. Suppose -4*g**2 + g + 0 + t - 9*g - 7 = 0. What is g?
-1
Solve 320*v**2 + 880*v**3 - 1 + 236*v**5 - 221*v**5 - 235*v**4 + 1 = 0.
-1/3, 0, 8
What is d in 2/7*d**3 - 58/7*d**2 + 0 + 0*d = 0?
0, 29
Factor -1/4*g**4 + 7/4*g**2 + 0 + 5/2*g - g**3.
-g*(g - 2)*(g + 1)*(g + 5)/4
Let h(s) be the second derivative of 2*s**7/315 - s**5/15 - s**4/9 - 2*s**2 + 11*s. Let j(q) be the first derivative of h(q). Factor j(c).
4*c*(c - 2)*(c + 1)**2/3
Let w(a) = a**2 - 14*a + 2. Suppose 0 = -4*o - 5*p - 3, -2*p - 5 = 2*o - 3. Let i(q) = -2*q**2 + 43*q - 7. Let c(v) = o*i(v) - 7*w(v). Solve c(s) = 0.
0, 4
Let w(z) be the first derivative of -2*z**3/3 + 8*z**2 + 40*z - 116. Find m such that w(m) = 0.
-2, 10
Let v(z) be the first derivative of -1/4*z**4 - 2*z + 3/2*z**2 + 3 + 1/2*z**3 - 3/20*z**5. Let d(p) be the first derivative of v(p). Solve d(k) = 0 for k.
-1, 1
Let m(d) be the first derivative of d**3/6 - 27*d**2/2 + 735. Factor m(f).
f*(f - 54)/2
Let b(w) be the second derivative of 7*w**6/240 + w**5/40 - w**3/2 - 4*w. Let c(r) be the second derivative of b(r). Determine z so that c(z) = 0.
-2/7, 0
Let h(y) = 2*y + 39. Let o be h(-21). Let g be -2 + 4 + (-2)/o. Suppose g*d**2 - 6*d + 4/3 = 0. What is d?
1/4, 2
Let x(h) = -h**2 - 4. Let k(c) = 3*c**2 + c + 2. Let o(v) = 3*k(v) + 6*x(v). Factor o(l).
3*(l - 2)*(l + 3)
Let c(y) = -2*y**3 + 11*y**2 - 2*y. Let d(p) = 4*p**2 + p + 1. Let w be d(1). Let x(i) = -2*i**3 + 10*i**2 - 2*i. Let a(q) = w*c(q) - 7*x(q). Factor a(h).
2*h*(h - 1)**2
Suppose p + 85 = 3*w - 3*p, 3*w + 2*p - 61 = 0. Suppose -25*s + 45*s - w*s = 0. Factor -1/2*q - 1/2*q**2 + s.
-q*(q + 1)/2
Let f(m) be the second derivative of -50*m**7/21 - 290*m**6/3 - 696*m**5/5 + 116*m**4/3 + 224*m**3/3 + 2*m - 3. Determine j, given that f(j) = 0.
-28, -1, -2/5, 0, 2/5
Let a = 3298/5 + -659. Factor -9/5*f + 3/5*f**2 - 6/5 + a*f**4 + 9/5*f**3.
3*(f - 1)*(f + 1)**2*(f + 2)/5
Suppose -228 = -2*v + 1716. Find t, given that -v*t + t**3 - 5*t**3 - 2916 - 83*t**2 - 25*t**2 = 0.
-9
Let t(g) be the second derivative of 3*g**5/80 + g**4/24 - 7*g**3/24 + g**2/4 - 33*g. Let t(s) = 0. Calculate s.
-2, 1/3, 1
Let k(n) be the third derivative of 47*n**2 + 0*n**5 + 0 - 1/330*n**6 + 1/385*n**7 + 0*n**4 - 1/1848*n**8 + 0*n + 0*n**3. Factor k(f).
-2*f**3*(f - 2)*(f - 1)/11
Let j be ((-15)/9)/(1/3). Let c be -7 - j - (-1 + -3). Find i such that 0*i**2 + c*i**4 + 0*i**4 - 3*i**4 + i**2 = 0.
-1, 0, 1
Let d = -530229/5 + 105467. Let u = -574 - d. Factor 12/5*f**4 + u*f**3 + 4*f**