 2*o + 9*o**3 - 22*o**4 + 28*o**4 = 0.
-1, -1/3, 0
Determine k, given that 30*k - 67*k**3 - 35*k**2 + 3*k**2 + 69*k**3 = 0.
0, 1, 15
Let g = -15 + 14. Let p(l) = 2*l**4 - 5*l**3 + l**2 + 5*l - 3. Let h(x) = x**4 - 1. Let v(r) = g*p(r) + 3*h(r). Factor v(t).
t*(t - 1)*(t + 1)*(t + 5)
Let j(g) be the second derivative of g**8/2240 + g**7/560 + g**6/480 + 11*g**3/6 - 7*g. Let b(u) be the second derivative of j(u). Solve b(l) = 0 for l.
-1, 0
Factor -2/5*s**2 + 26/5*s + 28/5.
-2*(s - 14)*(s + 1)/5
Let u = -10900/33 + 992/3. Suppose 2/11*o**2 - u - 2/11*o = 0. What is o?
-1, 2
Let n(t) be the first derivative of t**8/294 + t**7/245 - t**6/420 + 13*t**2/2 - 9. Let j(q) be the second derivative of n(q). Determine u so that j(u) = 0.
-1, 0, 1/4
Let s(w) be the second derivative of -12*w + 1/6*w**3 - 1/48*w**4 + 0*w**2 + 0. Factor s(b).
-b*(b - 4)/4
Let o = 55 - 52. Determine w so that -257*w**3 - 4*w**2 - w**4 + 258*w**o + 5*w**2 - w = 0.
-1, 0, 1
Let x(i) be the third derivative of -i**9/6480 + i**8/2240 - i**7/3780 + 7*i**4/24 - 18*i**2. Let l(w) be the second derivative of x(w). Factor l(u).
-u**2*(u - 1)*(7*u - 2)/3
Let h be 14/(-245)*5 + (-1384)/(-4893). Let a = 460/2097 - h. Factor -2/9*f**5 - a*f**4 + 0 + 2/9*f**2 + 0*f + 2/9*f**3.
-2*f**2*(f - 1)*(f + 1)**2/9
Suppose -13*g + 11*g = -4*s + 10, g = -2*s + 3. Find v, given that -4/5 - 2/5*v**3 + 0*v**s + 6/5*v = 0.
-2, 1
Let x be ((-4)/6)/((-2)/6). Factor 4*r**x + r - r**2 - 4*r**2.
-r*(r - 1)
Let x(k) be the third derivative of -k**8/2520 + k**6/540 + 7*k**3/6 + 13*k**2. Let l(p) be the first derivative of x(p). Factor l(c).
-2*c**2*(c - 1)*(c + 1)/3
Let p(l) be the first derivative of -l**5/12 - 25*l**4/24 - 5*l**3 - 9*l**2/2 + 10. Let v(c) be the second derivative of p(c). Find h such that v(h) = 0.
-3, -2
Let x be (-1029)/(-594) - 16/(-72) - 5/10. Factor -2/11*p**3 - x + 30/11*p - 12/11*p**2.
-2*(p - 1)**2*(p + 8)/11
Let f(v) be the third derivative of -1/75*v**5 + 0 + 0*v**4 + 0*v**7 + 0*v**3 + 1/840*v**8 - 1/100*v**6 + 0*v + 17*v**2. Determine g, given that f(g) = 0.
-1, 0, 2
Let o = 13754/3 + -4582. Factor -o*c**3 - 2*c**2 - 4/3 + 6*c.
-2*(c - 1)*(c + 2)*(4*c - 1)/3
Let c(z) be the third derivative of -z**7/42 - 3*z**6/8 - 7*z**5/6 + 5*z**2 + z. Factor c(l).
-5*l**2*(l + 2)*(l + 7)
Let c = -10 - -16. Suppose 0*k - 2*k + c = 0. Factor -k - 8*x**3 + 7*x**3 + 4*x + 3.
-x*(x - 2)*(x + 2)
Factor -11*x - 8*x**2 + 0*x**3 + 17*x + 3*x**3 - 72*x - 7*x**2 - 48.
3*(x - 8)*(x + 1)*(x + 2)
Factor -15*l**3 + 2*l - 30*l + 8*l**4 - 160*l**2 - 32*l + 17*l**4.
5*l*(l - 3)*(l + 2)*(5*l + 2)
Let a(v) be the first derivative of 117*v**4/28 - 58*v**3/7 + 9*v**2/2 - 6*v/7 - 417. Find f, given that a(f) = 0.
2/13, 1/3, 1
Let q(t) be the first derivative of t**3 + 84*t**2 + 2352*t + 79. Find b such that q(b) = 0.
-28
Suppose 0 = 7*s - 8*s + 5. What is r in -r**5 + 9*r**s + 4 - 17*r**3 + 29*r**2 + 24*r - 22*r**4 + 4*r**4 = 0?
-1, -1/2, -1/4, 2
Suppose 769*l - 6 = 766*l. Determine k so that -2/7 + 8/7*k**5 - 44/7*k**l + 8*k**3 - 34/7*k**4 + 16/7*k = 0.
1/4, 1
Suppose 5*y - 25 = -5*u, y + 9 - 2 = 5*u. Factor -8 + 2*d**2 + 2*d**u + d + 6*d - 3*d.
4*(d - 1)*(d + 2)
Let r be ((-3)/2)/(23/(184/(-48))). Factor -1/4*q**2 + 0 + 1/2*q - r*q**3.
-q*(q - 1)*(q + 2)/4
Let m = 711/5 - 4797/35. Determine n so that m*n + 108/7 + 3/7*n**2 = 0.
-6
Let p(i) be the second derivative of -i**6/10 + 3*i**5/20 + 3*i**4/4 - i**3/2 - 3*i**2 + 19*i - 1. Solve p(q) = 0.
-1, 1, 2
Factor 0 - 1/3*l**5 - 1/3*l + 0*l**4 + 2/3*l**3 + 0*l**2.
-l*(l - 1)**2*(l + 1)**2/3
Let l(h) be the first derivative of -h**4 - 4*h**3 + 20*h**2 - 83. Factor l(u).
-4*u*(u - 2)*(u + 5)
Let d(y) = -y**3 - 4*y**2 - y. Let g be d(-4). What is s in 1 - 2*s + 5*s**4 - 2*s**3 - s**g + 3 - 12*s**2 = 0?
-1, 1/2, 2
Let t = -8590 - -8592. Factor 2/7*i**3 - 4/7*i**t + 12/7 - 10/7*i.
2*(i - 3)*(i - 1)*(i + 2)/7
Let z(h) be the third derivative of 1/65*h**5 + 1/780*h**6 + 0 + 4/39*h**3 + 0*h + 3/52*h**4 - 12*h**2. Factor z(j).
2*(j + 1)**2*(j + 4)/13
Let t(l) be the second derivative of -l**4/4 - 3*l**3 - 12*l**2 + 5*l - 4. Solve t(g) = 0.
-4, -2
Suppose g - 2 = -3, -y + 2 = -2*g. What is m in 24*m + 32 - 8*m**3 + y*m**3 + 6*m**3 = 0?
-2, 4
Solve 29993*b**4 - 30013*b**4 - b - 4*b + 15*b**2 = 0 for b.
-1, 0, 1/2
Factor -7/3*r**4 + 0*r + 1/2*r**2 + 11/6*r**3 + 0.
-r**2*(r - 1)*(14*r + 3)/6
Let w(z) be the second derivative of -z**4/54 + z**3/9 + 86*z. Factor w(q).
-2*q*(q - 3)/9
Let b(t) = -t**4 - 20*t**3 - 13*t**2 + 60*t + 81. Let l(a) = -a**3 + a**2 + 1. Let x(w) = 4*b(w) - 36*l(w). Factor x(h).
-4*(h - 2)*(h + 1)*(h + 6)**2
Let o(x) be the first derivative of -4/3*x**3 + 0*x - 6 - 6*x**2. Factor o(u).
-4*u*(u + 3)
Let p be (-3*(-15)/9)/((-25)/(-30)). Let r(a) = -2*a**2 + 4*a - 6. Let i(l) = -5*l**2 + 9*l - 12. Let w(h) = p*i(h) - 14*r(h). Determine z, given that w(z) = 0.
-3, 2
Let f(h) be the third derivative of h**7/315 + h**6/180 - h**5/90 - h**4/36 + 42*h**2. Find z such that f(z) = 0.
-1, 0, 1
Factor 6/7*s**4 - 204/7*s + 90/7*s**2 + 108/7*s**3 + 0.
6*s*(s - 1)*(s + 2)*(s + 17)/7
Let i = -7254 - -29017/4. Factor i*q**4 + q + 1 - 3/4*q**2 - 1/2*q**3.
(q - 2)**2*(q + 1)**2/4
Let z(h) = 3*h + h - 3*h - 16*h**2 - h**3 + 18. Let v be z(-16). Determine c, given that 0*c**v + 3*c**3 + 4*c**3 - 4*c + 16 - 3*c**3 - 16*c**2 = 0.
-1, 1, 4
Let i(j) be the first derivative of -j**5/40 + 5*j**4/16 + j**3/8 - 7*j**2/4 - 5*j/2 + 325. Factor i(u).
-(u - 10)*(u - 2)*(u + 1)**2/8
Suppose -26 = -23*p + 43. Let q(j) be the first derivative of 1/5*j**5 + 0*j - 1/12*j**6 - 1/3*j**p - 3 + 0*j**4 + 1/4*j**2. Factor q(m).
-m*(m - 1)**3*(m + 1)/2
Suppose -4*f = -7*f + 12. Suppose -f*r + 19 - 7 = 0. Factor 9*g**4 + 3*g - 8*g**2 - 8*g**2 + 4*g**2 + 3*g**4 - r*g**3.
3*g*(g - 1)*(g + 1)*(4*g - 1)
Let z be (-50)/50*(-4)/10. Let q(t) be the first derivative of -1/4*t**4 + z*t**2 + 1/25*t**5 - 8/5*t + 4 + 2/5*t**3. Determine d, given that q(d) = 0.
-1, 2
Let m(p) be the third derivative of 0*p**4 + 9*p**2 + 0*p - 1/240*p**6 + 0*p**3 + 0 + 0*p**5. Solve m(h) = 0 for h.
0
Let p(f) be the first derivative of -f**5/20 - f**4/8 + 36. Suppose p(d) = 0. Calculate d.
-2, 0
Let 644/3*m**2 - 2116/9*m**3 + 20*m + 4/9 = 0. Calculate m.
-1/23, 1
Let l(t) be the first derivative of 10/9*t**3 - 10 + 0*t + 2/3*t**4 + 1/3*t**2. Find z such that l(z) = 0.
-1, -1/4, 0
Let x be -139 - -140 - ((-29)/(-30) - 0). Let r(d) be the third derivative of 0*d + 4*d**2 + 0*d**4 - x*d**5 + 0 + 4/3*d**3. Factor r(i).
-2*(i - 2)*(i + 2)
Let z(a) be the third derivative of -a**5/180 + a**4/12 - 4*a**3/9 - 488*a**2. Solve z(y) = 0.
2, 4
Solve 58/3*t + 2/3*t**3 - 20*t**2 + 0 = 0.
0, 1, 29
Solve i**3 + 3*i**3 + 8*i - 9*i**2 + 2620*i**4 - 5*i**2 - 2618*i**4 = 0 for i.
-4, 0, 1
Suppose -10 = 2*h, 4*i - 2 - 29 = 3*h. Let l(q) be the third derivative of 1/480*q**6 + 5*q**2 + 0*q**i + 0*q**3 + 1/840*q**7 + 0*q**5 + 0*q + 0. Factor l(d).
d**3*(d + 1)/4
Let q be (10/12)/(855/2280). Solve 44/9*l**2 - 28/9*l + 4/9 - q*l**3 = 0 for l.
1/5, 1
Let w(x) = x**2 - 24*x - 54. Let f be w(26). Let p(j) = -23*j - 46. Let o be p(f). Factor -2/5*g**3 - 4/5*g**2 + o + 8/5*g**4 + 6/5*g**5 + 0*g.
2*g**2*(g + 1)**2*(3*g - 2)/5
Let c be (3/(-9))/(9/(-99)) + -3. Let u(s) be the first derivative of -7 - 6*s + c*s**3 + 2*s**2. Factor u(l).
2*(l - 1)*(l + 3)
Let c(y) be the second derivative of y**6/360 + y**5/90 - y**4/72 - y**3/9 - 25*y**2/2 + 14*y. Let b(q) be the first derivative of c(q). Factor b(v).
(v - 1)*(v + 1)*(v + 2)/3
Let b(j) be the first derivative of -3*j**2 + 0*j**3 + 1/60*j**4 + 0*j - 6 - 1/100*j**5. Let h(c) be the second derivative of b(c). Suppose h(i) = 0. What is i?
0, 2/3
Suppose -2*o + 6*o + 12 = 2*v, 3*v + 4*o = -32. Let s be (-255)/105 - 6/(-14) - v. Factor -1/5*r**s + 0*r - 8/5*r**5 - 6/5*r**3 - 12/5*r**4 + 0.
-r**2*(2*r + 1)**3/5
Let x(s) = -11*s + 82. Let h be x(7). Let k(n) be the first derivative of -8*n**2 - 7*n**3 + 1/2*n**6 - 4*n + 1 + n**h - 7/4*n**4. Solve k(b) = 0 for b.
-1, -2/3, 2
Suppose -11*w + 0*w + 5*w**2 - 7*w - 2*w + 15 = 0. What is w?
1, 3
Suppose -552*v**3 - 2*v**4 - 3*v**5 + 555*v**3 + 14*v**4 - 12*v**2 = 0. Calculate v.
-1, 0, 1, 4
Let p(k) be the second derivative of k**4/6 + 8*k**3/3 + 16*k**2 + 8*k - 4. What is h in p