 -36. Factor -1/3*n**2 + 0 + 1/3*n**4 + 1/9*n**5 + 0*n - 1/9*n**q.
n**2*(n - 1)*(n + 1)*(n + 3)/9
Let r(l) = -7*l**3 + 109*l**2 - 257*l + 119. Let n(q) = -16*q**3 + 217*q**2 - 516*q + 237. Let c(s) = 6*n(s) - 13*r(s). Factor c(g).
-5*(g - 1)**2*(g + 25)
Let q(b) = b**4 + 103*b**3 - 858*b**2 + 1062*b + 2012. Let c(h) = -15*h**4 - 1647*h**3 + 13728*h**2 - 16995*h - 32190. Let i(a) = 2*c(a) + 33*q(a). Factor i(n).
3*(n - 4)**2*(n + 1)*(n + 42)
Let f be (6 + 2)*(6 - 5). Let z be (5 + 135/(-35))*28/f. Solve 1/3*b**3 + 0 - 5/12*b**2 - 1/12*b**z + 1/6*b = 0.
0, 1, 2
Factor -150*m**5 - 10206*m**3 + 142*m**5 + 6*m**5 - 270*m**4 - 71442*m**2.
-2*m**2*(m + 9)*(m + 63)**2
Suppose -j - 3*l - 1 = 0, j + l - 5 = 4*l. Factor 6396*s**j - 3195*s**2 - 3151*s**2 + 2*s**4 - 20*s**3.
2*s**2*(s - 5)**2
Solve -80/7*h - 24 + 2/7*h**2 = 0.
-2, 42
Let u(i) be the third derivative of 19/60*i**4 - 34/15*i**3 + 0*i - 175*i**2 + 0 - 1/150*i**5. Let u(w) = 0. Calculate w.
2, 17
Factor -3/5*b**2 - 4815867/5 + 7602/5*b.
-3*(b - 1267)**2/5
Suppose -745*x + 20 = -749*x - 4*j, 0 = x - 4*j - 35. Let r(q) be the first derivative of -23 - 1/2*q**4 - 2*q**x - 3*q**2 - 2*q. Factor r(v).
-2*(v + 1)**3
Find l, given that 6*l**2 + 6347*l - 6884*l - 3*l**2 + 534 = 0.
1, 178
Let b(h) be the second derivative of -h**5/20 - 4*h**4 - 128*h**3 + 28*h**2 - 3*h + 34. Let k(w) be the first derivative of b(w). Factor k(l).
-3*(l + 16)**2
Let p(u) be the first derivative of u**6/10 - 12*u**5 + 117*u**4/2 - 116*u**3 + 231*u**2/2 - 288*u/5 - 2011. Solve p(h) = 0.
1, 96
Determine q so that 364*q**2 - 46*q**3 - 432 + 54814*q**5 + 68*q**4 - 54810*q**5 + 378*q**3 - 336*q = 0.
-9, -6, -2, -1, 1
Let n(a) be the first derivative of -11*a**7/1680 - 7*a**6/240 - 3*a**5/80 + a**4/48 + 59*a**3/3 + 66. Let z(x) be the third derivative of n(x). Factor z(m).
-(m + 1)**2*(11*m - 1)/2
Let t(w) be the third derivative of 0 + 106*w**2 + 1/180*w**6 + 0*w + 1/180*w**5 + 1/9*w**3 - 5/72*w**4. Find d, given that t(d) = 0.
-2, 1/2, 1
Let c(u) = -u - 7. Let r be c(18). Let v = r + 27. Find f, given that -9 + 5*f + 10*f**v + 3 - 6*f**3 + f**3 - 4 = 0.
-1, 1, 2
Let n(w) = w**4 + 170*w**3 + 1982*w**2 + 8474*w + 6653. Let j(u) = -2*u**4 - 680*u**3 - 7929*u**2 - 33898*u - 26611. Let c(h) = -2*j(h) - 9*n(h). Factor c(v).
-5*(v + 1)*(v + 11)**3
Let i(w) = w**3 - w**2 - w - 1. Let b(o) = -8*o**3 + 14*o**2 + 17*o - 31. Suppose 0*m = 17*m + 17. Let h(z) = m*b(z) - 5*i(z). Factor h(s).
3*(s - 3)*(s - 2)*(s + 2)
Let v be -15*(-5 - -3 - 0). Let w(f) = f + 14. Let r be w(-5). Factor 8*u + r*u - v + 8*u + 5*u**2.
5*(u - 1)*(u + 6)
Let b(x) = -5*x**2 - 10*x - 6. Let a(w) be the second derivative of -20*w + 55/3*w**3 + 55/12*w**4 + 0 + 65/2*w**2. Let o(m) = 6*a(m) + 65*b(m). Factor o(v).
5*v*(v + 2)
Let x(z) be the second derivative of 25/4*z**3 + 0*z**2 - 5/16*z**4 - 3/10*z**5 + 213*z + 0 - 1/40*z**6. Factor x(b).
-3*b*(b - 2)*(b + 5)**2/4
Let r(u) = -5*u + 16. Let f be r(-9). Suppose -63*n = -f*n. Factor 8*z + 4*z**2 - 5*z**5 - 12*z**3 - 4*z**4 + 0*z**4 + n*z**2 + 9*z**5.
4*z*(z - 2)*(z - 1)*(z + 1)**2
Let g(u) = 15*u**2 - 135*u + 24. Let j be (-4)/(-16)*-6*(-70)/(-21). Let z(o) = -3*o**2 + 27*o - 5. Let m(i) = j*g(i) - 24*z(i). Factor m(q).
-3*q*(q - 9)
Factor 455*n**3 + 1033*n + 737*n + 895*n**2 - 221*n**3 - 229*n**3.
5*n*(n + 2)*(n + 177)
Let c(w) = 1593*w**3 + 78*w**2 - 1149*w + 363. Let j(s) = 1595*s**3 + 81*s**2 - 1147*s + 363. Let t(u) = 4*c(u) - 3*j(u). Factor t(d).
3*(d + 1)*(23*d - 11)**2
Let u(z) = z**3 + z**2 - z + 2. Let x(v) = 4*v**3 - 1016*v**2 + 341*v - 10. Let p(k) = 5*u(k) + x(k). Factor p(c).
3*c*(c - 112)*(3*c - 1)
Let f = 341/10 - 2683/80. Let k(z) be the first derivative of -1/8*z**3 + f*z**2 + 0*z + 10. Factor k(h).
-3*h*(h - 3)/8
Let u be 20/(-4)*54/135 - -10. Suppose -22/3*v + 10/3*v**3 + u*v**2 - 4 = 0. What is v?
-3, -2/5, 1
Factor 0*n**3 + 3*n**4 + 131*n + 14*n**3 - 17*n**2 - 128*n - n**3 - 4*n**5 + 2.
-(n - 1)**3*(n + 2)*(4*n + 1)
Factor 127/4*t - 1/4*t**2 - 63/2.
-(t - 126)*(t - 1)/4
Let c(u) be the third derivative of -u**6/90 - 128*u**5/5 - 767*u**4/6 - 2300*u**3/9 + 43*u**2 + 21*u - 1. Let c(a) = 0. What is a?
-1150, -1
Factor -13*v + 8*v**3 + 3*v - 2*v**4 + 2*v**3 - 6*v**2 + 8 + 0*v**3.
-2*(v - 4)*(v - 1)**2*(v + 1)
Let o(g) be the first derivative of -g**8/840 + g**7/140 + 13*g**6/180 - g**5/4 + g**3/3 - 39*g**2 - 166. Let h(p) be the third derivative of o(p). Factor h(w).
-2*w*(w - 5)*(w - 1)*(w + 3)
Suppose n - 3*r - 11 = 0, 8*n - 4*n = -3*r + 89. Suppose 14 = -2*j + n. Suppose 1/9*b**2 + 1/9*b**j - 2/9*b + 0 = 0. Calculate b.
-2, 0, 1
Let o(b) be the second derivative of b**7/42 - 83*b**6/30 - 108*b**5/5 - 175*b**4/3 - 176*b**3/3 - 782*b - 8. Suppose o(v) = 0. Calculate v.
-2, -1, 0, 88
Let d = -5158813/582 + 2650/291. Let x = d + 8909. Let -53/3*n**3 - 1/6*n**5 + 145/3*n**2 + 17/6*n**4 - x*n + 125/6 = 0. Calculate n.
1, 5
Let t(v) be the first derivative of v**6/1260 + v**5/126 + v**4/36 + v**3/21 - 19*v**2 + 30. Let l(k) be the second derivative of t(k). Factor l(g).
2*(g + 1)**2*(g + 3)/21
Let w(m) be the third derivative of 3*m**8/392 + 106*m**7/245 + 713*m**6/84 + 1986*m**5/35 - 765*m**4/7 + 1600*m**3/21 + 14*m**2 - 168. What is v in w(v) = 0?
-16, -10, 1/3
Let h(r) = 6*r**4 - 14*r**3 - 2*r**2 + 20*r + 2. Let z(b) = b**4 + b**3 + b**2 + 2*b + 1. Let q(u) = h(u) - 2*z(u). Factor q(i).
4*i*(i - 4)*(i - 1)*(i + 1)
Let o be 4330/6*-14*(-9)/(-90). Let i = -1010 - o. Factor 0 - 1/3*j**2 - i*j.
-j*(j + 1)/3
Let g(j) be the second derivative of -j**4/4 - 42*j**3 + 255*j**2/2 - 4356*j. Factor g(i).
-3*(i - 1)*(i + 85)
Suppose -2/13*g**2 + 480/13 - 86/13*g = 0. What is g?
-48, 5
Let h(x) be the second derivative of -x**7/63 + 11*x**6/15 - 133*x**5/10 + 2107*x**4/18 - 1372*x**3/3 + 6*x + 133. What is l in h(l) = 0?
0, 7, 12
Let m(a) be the first derivative of -3/32*a**4 - 71/8*a**3 + 486*a - 459/2*a**2 - 30. Factor m(r).
-3*(r - 1)*(r + 36)**2/8
Let z = -4/213 + 667/46860. Let f = z + 887/1540. Factor -8/7*y**2 + 2/7*y**3 + 10/7*y - f.
2*(y - 2)*(y - 1)**2/7
Let f = 4911/1843 - -11/5529. Find a, given that -f*a**4 + 0*a**3 + 0*a**2 - 2/3*a**5 + 0 + 0*a = 0.
-4, 0
Let f(y) be the second derivative of y**6/240 - y**5/60 - 5*y**4/12 - 2*y**3 + y**2 - 45*y. Let n(s) be the first derivative of f(s). Factor n(q).
(q - 6)*(q + 2)**2/2
Let r be 2 - (12/(-7) + 4/(-14)). Suppose 2*v + v + r = 2*y, y + 4*v - 2 = 0. Solve p**y - 9 + 0 + 0*p + 2*p**2 + 6*p = 0 for p.
-3, 1
Suppose -r - 3 = 3*j, -6*j + 2*j = -2*r + 14. Determine l, given that 8 + 4*l**4 + 26*l**2 - 24*l - 2*l**4 - 3*l**3 - 9*l**r + 0*l**4 = 0.
1, 2
Factor -3/8*f**4 + 63/8*f + 75/8*f**2 + 9/8*f**3 + 0.
-3*f*(f - 7)*(f + 1)*(f + 3)/8
Let a(s) = 8*s**3 - 42*s**2 - 34*s + 24. Let j(o) = 9*o**3 - 41*o**2 - 35*o + 36. Let m(r) = -3*a(r) + 2*j(r). Determine w, given that m(w) = 0.
-2/3, 0, 8
Let a = 926345 - 926341. Factor -3/2*h**a - 7/2*h**3 + 2*h + 0*h**2 + 0.
-h*(h + 1)*(h + 2)*(3*h - 2)/2
Let q(u) = u**3 - 7*u**2 - 13*u + 42. Let p be q(8). Solve -54 - 3*f**p + 10 - 48*f + 39 - 94 - 93 = 0 for f.
-8
Suppose -c = -5*t + 273 - 188, 2*t = -2*c + 46. Let d be t/(5 + (6 - 6)). Find y such that 3/5*y + d - 3/5*y**2 = 0.
-2, 3
Suppose 8*t = 59 + 13. Let o be (-16 - -20) + 2 + (-30)/t. Let -4/3 - 2/3*c**3 - o*c**2 - 10/3*c = 0. What is c?
-2, -1
Let o be 5 - (-5)/3*13/((-910)/147). Let c(x) = x**3 - 2*x**2 + x - 2. Let w be c(2). Factor 3/2*q**2 + 0 + 5*q**3 + o*q**4 + w*q.
q**2*(q + 3)*(3*q + 1)/2
Let y(b) = -8*b + 5. Let q be y(0). Solve 3*h**q - 502*h - 3*h**4 + 502*h = 0.
0, 1
Let k = 811/3 + -269. Let h(n) be the first derivative of -2*n**4 - 19 + 0*n + 4/3*n**6 + 4/5*n**5 + 0*n**2 - k*n**3. Solve h(z) = 0 for z.
-1, -1/2, 0, 1
Factor 364/3 + 2/9*w**2 + 94/9*w.
2*(w + 21)*(w + 26)/9
Let d(s) be the first derivative of 3/2*s**2 - 2 - 1/6*s**3 - 9/2*s. Suppose d(c) = 0. What is c?
3
Solve 123/5*p**4 + 3842/5*p**3 + 1/5*p**5 - 3843/5*p - 3721/5 + 3598/5*p**2 = 0 for p.
-61, -1, 1
Let k(j) be the third derivative of j**6/24 + 23*j**5/6 + 1165*j**4/24 - 700*j**3/3 + 5*j**2 - 34*j + 2. Find d such that k(d) = 0.
-40, -7, 1
Let -2/17*s**5 - 264/17*s**2 + 66/17*s**4 + 8/17*s**3 + 0*s + 0 = 0. Calculate s.
-2, 0, 2, 33
Let a(x) be the first derivative of -1/3*x**