 = 0.
-4, -3, 10/27
Let y(w) be the first derivative of w**6/3 - 12*w**4 - 128*w**3/3 - 48*w**2 - 369. Factor y(u).
2*u*(u - 6)*(u + 2)**3
Factor 2*o**3 + 117 - o**4 - 16*o**2 + 10*o**3 + 48*o**2 - 48*o - 261 + 2*o**4.
(o - 2)*(o + 2)*(o + 6)**2
Find c, given that 8*c**4 + 476*c**2 + 13075 - 13075 - 124*c**3 - 360*c = 0.
0, 1, 9/2, 10
Suppose -33*a + 266*a + 53*a - 582 = -5*a. Factor -11/2*m**a + 0 - 1/4*m**3 - 10*m.
-m*(m + 2)*(m + 20)/4
Let q(i) = 253*i**2 - 307*i - 3461. Let j(z) = -1416*z**2 + 1688*z + 19036. Let p(b) = 5*j(b) + 28*q(b). Factor p(m).
4*(m - 48)*(m + 9)
Let b(v) = 4*v**3 - 30*v**2 - 169*v + 84. Let x(j) = 9*j**3 - 61*j**2 - 374*j + 167. Let m(h) = 14*b(h) - 6*x(h). Factor m(c).
2*(c - 29)*(c - 1)*(c + 3)
Let g = -329525 + 2965727/9. Factor 0 - g*r**2 + 4/9*r**3 - 2/9*r**4 + 0*r.
-2*r**2*(r - 1)**2/9
Let d be 15/10*448/12. Suppose -4*o + d = 3*o. Factor 3*u**2 - o*u + 0*u**2 - u**2.
2*u*(u - 4)
Let j(n) = -n - 2. Let k(x) = 3*x + 5. Let p(l) = -8*j(l) - 3*k(l). Let w(g) = -g**3 - 2*g**2 + 9*g + 3. Let a(i) = 20*p(i) + 4*w(i). Solve a(o) = 0 for o.
-2, 2
Factor 31*q**2 - 1/3*q**4 + 29/3*q**3 + 32/3 + 95/3*q.
-(q - 32)*(q + 1)**3/3
Let i(b) be the second derivative of 0 - 11/80*b**5 + 231*b + 1/4*b**2 - 2/3*b**4 - 19/24*b**3. Factor i(h).
-(h + 1)*(h + 2)*(11*h - 1)/4
Let c(l) be the second derivative of 3*l**5/40 + 53*l**4/4 - l**3/4 - 159*l**2/2 - 722*l - 2. Find t such that c(t) = 0.
-106, -1, 1
Let n(j) = -2*j**2 - j - 1. Let r = 43 - 44. Let l(m) = 10*m**2 + 10*m + 4. Let h(d) = r*l(d) - 4*n(d). Factor h(a).
-2*a*(a + 3)
Suppose -5 = -2*i + 1. Let n be (18 - 18)/(9 - 14). Factor -d**i - 15/4*d**5 + 0*d**2 + n - 4*d**4 + 0*d.
-d**3*(3*d + 2)*(5*d + 2)/4
Let h(m) be the first derivative of -25*m + 1/20*m**5 + 18*m**2 - 11/12*m**4 + 4*m**3 + 6. Let i(p) be the first derivative of h(p). What is n in i(n) = 0?
-1, 6
Let m(l) be the second derivative of 2*l**4/15 + 9137*l**3/15 + 2284*l**2/5 - 54*l + 27. What is b in m(b) = 0?
-2284, -1/4
Suppose 4*y - 42 = -s, -5*s + 3309 - 3259 = 4*y. Suppose -y*c**2 - 85/9*c**3 + 4/9*c + 22/9*c**4 + 8/9 + 7/3*c**5 = 0. What is c?
-2, -1, -1/3, 2/7, 2
Let d(h) = -h**2 - 19*h + 36. Let x be d(-17). Let g be (2/(-10))/(791/x + -12). Find o such that -24/7*o - 26/7*o**2 - 8/7 - g*o**4 - 12/7*o**3 = 0.
-2, -1
Factor 3/4*m**3 - 675 - 39/2*m**2 - 1005/4*m.
3*(m - 36)*(m + 5)**2/4
Let d be -2 - -1 - 1*(-2 + -3). Factor 5*m**2 - m**5 - 5*m**2 + 0*m**d - 4*m**3 - 5*m**4.
-m**3*(m + 1)*(m + 4)
Let b(r) = -43*r**2 - 67*r + 11. Let c(v) = 19*v**2 + 32*v - 5. Let z(y) = 6*b(y) + 15*c(y). Find w, given that z(w) = 0.
-3, 1/9
Let b(k) be the first derivative of -k**4/2 + 20*k**3/3 + 375*k**2 - 9000*k - 3714. Factor b(h).
-2*(h - 15)**2*(h + 20)
Let d be (-160)/(-27 - -47) + 62/6. What is y in -4/3*y**2 - 1 - d*y = 0?
-1, -3/4
Let h = -3566 + 3566. Let f(q) be the third derivative of h*q**4 + 0*q**6 + 0 - 1/735*q**7 + 18*q**2 + 0*q**3 + 0*q + 1/210*q**5. Factor f(i).
-2*i**2*(i - 1)*(i + 1)/7
Let m = 161 - 157. Factor 7*l - 9*l**2 - 2 + 76*l**m + 71*l**4 - 217*l**4 + 69*l**4 + 5*l**3.
-(l - 2)*(l - 1)**3
Let o = 2185634 - 2185632. Let x be (3/(-2))/(2/(-4)). Factor 1/5*y**4 + 3/5*y**x + 0 - 4/5*y**o + 0*y.
y**2*(y - 1)*(y + 4)/5
Let f(p) be the first derivative of 7/5*p**2 - 11 - 1/15*p**3 - 24/5*p. Factor f(c).
-(c - 12)*(c - 2)/5
Let f(b) = -b**2 + 29*b + 30. Let y be f(-1). Let m(n) be the first derivative of 3/10*n**4 - 3/25*n**5 + 0*n**3 + y*n + 0*n**2 + 7. Factor m(r).
-3*r**3*(r - 2)/5
Let t(c) be the third derivative of -c**6/60 - 65*c**5/6 - 24*c**2 - 7. Factor t(v).
-2*v**2*(v + 325)
Factor 227*s**4 + 12*s - 224*s**4 + 43 + 17 + 10*s**2 - 55*s**2 + 6*s**3.
3*(s - 2)**2*(s + 1)*(s + 5)
Suppose 0 - 32*g**2 + 12/5*g + 196/5*g**3 - 48/5*g**4 = 0. Calculate g.
0, 1/12, 1, 3
Suppose -3*v + 12*v = 657. Let x be (v/(-949))/((-4)/26). Factor -x*n**2 + 1/2 + 0*n.
-(n - 1)*(n + 1)/2
Let h be 408/40*(64/12 + -2). Suppose 59*w - h = 84. Factor -48/5*t + 21/5*t**w + 36/5 - 3/5*t**3.
-3*(t - 3)*(t - 2)**2/5
Let r(t) be the second derivative of -t**5/4 - 65*t**4/4 - 90*t**3 + 6*t - 422. Factor r(m).
-5*m*(m + 3)*(m + 36)
Let h(c) be the second derivative of -c**4/6 + 128*c**3/3 + 2869*c. Factor h(q).
-2*q*(q - 128)
Let l(o) = -105*o**2 - 3895*o + 3880. Let v(n) = 31*n**2 + 1298*n - 1293. Let w(r) = 3*l(r) + 10*v(r). Factor w(f).
-5*(f - 258)*(f - 1)
Suppose -11*f = -6*f. Suppose 2*z + 9 = -3*n, f*z - 15 = 4*z + 5*n. Factor z*a + 0 - 1/3*a**3 + 2/3*a**2.
-a**2*(a - 2)/3
Factor -22/7*j - 1452/7 + 2/7*j**3 + 32/7*j**2.
2*(j - 6)*(j + 11)**2/7
Suppose -3*w + 130 = -4*t, -110 = -2*w - 2*t - 0*t. Factor 80*v**5 - 39*v**5 + 164*v**3 - 37*v**5 - w*v**4 + 218*v**4.
4*v**3*(v + 1)*(v + 41)
Let w(l) be the third derivative of -9*l**2 - 1/9*l**4 + 0 - 1/30*l**5 + 4/9*l**3 + 1/315*l**7 + 1/90*l**6 + 0*l. Factor w(g).
2*(g - 1)**2*(g + 2)**2/3
Let g(r) = r**2 + r - 30. Let a be g(6). Factor -2 + 112*j + a*j**2 + 8 - 85*j.
3*(j + 2)*(4*j + 1)
Factor -168*j**2 - 971175312 - 452*j**2 - 2834*j**2 - 2552*j**2 - 3706776*j + 1290*j**2 - 2*j**3.
-2*(j + 786)**3
Let h(t) = 15*t + 3. Let w be h(1). Let 12 - w - 10*x**3 + 16*x + 4*x**2 + 0*x**3 + 6 + 2*x**4 = 0. What is x?
-1, 0, 2, 4
Factor 188*x**2 + 4*x**3 - 5832 + 228*x + 1356*x + 36*x - 332*x**2.
4*(x - 18)*(x - 9)**2
Let a = -925620/11 + 6479406/77. Factor 2/7*h**2 + 8/7*h + a.
2*(h + 1)*(h + 3)/7
Let i = 29762 - 326614/11. Let w = 5464/77 - i. Factor -24/7*a**2 - 16/7 + w*a**3 - 1/7*a**4 + 32/7*a.
-(a - 2)**4/7
Let k(s) be the second derivative of -235*s**4/4 + 865*s**3/6 - 80*s**2 - 4221*s. Determine y, given that k(y) = 0.
32/141, 1
Let z(b) = 2*b**3 - 62*b**2 + 58*b + 20. Let h be z(30). Let j be -35*((-36)/h)/(-9). Factor 9/2*i**2 - j*i**3 - i + 0.
-i*(i - 1)*(7*i - 2)/2
Determine f, given that 6343*f**3 - 315*f**2 - 126 - 1006*f + 63*f**2 - 6311*f**3 - 1748*f**2 = 0.
-1/4, 63
Suppose 3*d - 5041 = 3*w + 2030, -3*w + 4704 = 2*d. Find p such that -p + 1018*p + 136*p**2 + 2359*p**3 - d*p**3 + 139*p = 0.
-17, 0
Let z(y) be the first derivative of -y**4/14 - 44*y**3/21 - 20*y**2 - 400*y/7 + 1044. Factor z(i).
-2*(i + 2)*(i + 10)**2/7
Suppose 2*z - 270 = -p, 12*z - 11*z + 1350 = 5*p. Let d be (-5)/30 + 261/p. Factor d*i**2 + 36/5 - 24/5*i.
4*(i - 3)**2/5
Let a(i) be the first derivative of -i**3/18 + 7*i**2/3 + 10*i + 714. Determine y, given that a(y) = 0.
-2, 30
Let b be ((-18)/(-10))/(-52 - 2104/(-40)). Factor -3/4*o**b - 3/2*o**2 + 0 - 3/4*o.
-3*o*(o + 1)**2/4
Let y(t) be the second derivative of 2/9*t**3 - 6*t - 7 + 1/3*t**2 + 1/18*t**4. Find b, given that y(b) = 0.
-1
Let v be (-318)/42 - (0 + 4/(-7)). Let b(g) = -4*g**2 - 37*g - 23. Let d(s) = 4*s**2 + 34*s + 22. Let f(j) = v*d(j) - 6*b(j). Factor f(x).
-4*(x + 2)**2
Let d(k) be the first derivative of 17/14*k**4 - 12/7*k**2 - 2/7*k**5 - 16/21*k**3 + 0*k - 77. Factor d(v).
-2*v*(v - 2)**2*(5*v + 3)/7
Let s(t) = t**3 - 35*t**2 - 499*t + 782. Let j be s(-12). What is i in 140/3*i - 100/3 - 35/3*i**j - 5/3*i**3 = 0?
-10, 1, 2
Let n(v) be the first derivative of v**6/12 + 17*v**5/10 - 19*v**4/4 + 587. Factor n(x).
x**3*(x - 2)*(x + 19)/2
Factor 12/5 + 16/15*h**2 + 14/5*h + 2/15*h**3.
2*(h + 2)*(h + 3)**2/15
Suppose 3*s = s - 2, -8 = -2*a + 100*s - 98*s. Factor -72 + 2/3*i**a - 10*i**2 + 48*i.
2*(i - 6)**2*(i - 3)/3
Let p(v) be the first derivative of -4*v**3/21 + 52*v**2/7 - 480*v/7 + 1099. Solve p(x) = 0.
6, 20
Factor -3864675 + 2142*b**2 + 2161*b**2 - 4306*b**2 + 6810*b.
-3*(b - 1135)**2
Let q = -2134/87 + 866/29. Factor 4/3*i**3 + 0 + q*i**2 - 4/3*i**4 - 16/3*i.
-4*i*(i - 2)*(i - 1)*(i + 2)/3
Factor 0 + 2*l**2 + 0*l + 294*l**4 + 36*l**5 + 193/4*l**3.
l**2*(l + 8)*(12*l + 1)**2/4
Solve -102*r - 4*r + 22*r + 32 + 72*r**2 - 20*r**3 = 0 for r.
1, 8/5
Let q = -108 - -115. Let -290*w**2 - q*w**5 + 300*w**2 + 15*w**3 + 2*w**5 = 0. What is w?
-1, 0, 2
Let b(g) be the first derivative of -2 + 1/4*g**2 + 3/2*g**3 - 9/2*g - 1/8*g**4. Factor b(n).
-(n - 9)*(n - 1)*(n + 1)/2
Let l = -305/3 + 3373/33. Let p(z) = 2*z**3 + 13*z**2 + 6*z + 3. Let d be p(-6). Find m, given that -6/11*m**d + 6/11*m + l - 6/11*m**2 = 0.
-1, 1
Let t = -56 + 170/3. Suppose 0 = 64*m - 72*m. Determine r so that t*r**2 + 0*r + m*r**4 - 1/3*r**5 + r**3 + 0 = 0.
-1, 