2*k**5 - 24*k**4 + 4*k = 0.
-1, 0, 2
Suppose 0*j - 5*j = -25. Let z be -4*(j - (-64)/(-12)). Factor 2/3*c**2 + 0*c + 2/3*c**4 + 0 - z*c**3.
2*c**2*(c - 1)**2/3
Suppose 0 = -2*j + 10, 0*c + 2*j = c - 182. Suppose -24*i**5 - 177*i - 7*i**5 + 144 + c*i**4 - 140*i**2 + 561*i - 564*i**3 + 15*i**5 = 0. Calculate i.
-1/2, 1, 6
Let i be (-3 - -9)*(-186)/(-171) + -6. Solve -8/19 - i*g - 2/19*g**2 = 0 for g.
-4, -1
Let a be 680/4000 - 36/27*(-6)/100. Factor 1/4*t + 1/4 - 1/4*t**2 - a*t**3.
-(t - 1)*(t + 1)**2/4
Let n be ((-2)/15)/(12/(-180)). Let b(t) be the first derivative of 0*t**2 + 2/9*t**3 - n - 2/3*t. What is j in b(j) = 0?
-1, 1
Let o = -16218 + 16221. Solve -2/17*a**o - 10/17*a**2 - 6/17 - 14/17*a = 0 for a.
-3, -1
Let k(l) be the third derivative of l**7/1155 + l**6/660 - l**5/66 + l**4/44 - 4*l**2 - 6*l. Determine r, given that k(r) = 0.
-3, 0, 1
Let d = -435 + 297. Let b = d - -692/5. Factor 0 - 4/5*m**2 - 2/5*m + 4/5*m**4 + b*m**5 + 0*m**3.
2*m*(m - 1)*(m + 1)**3/5
Let n be 7 - (-5 + (-427)/(-42)). Suppose -2*u = -11*u. Factor -1/2*r**5 + 0*r**2 + 0 - r**3 - n*r**4 + u*r.
-r**3*(r + 3)*(3*r + 2)/6
Factor -24*r**2 + 2*r**2 + 9*r**3 + 22 - 2*r - 5*r**3 - 2*r**3.
2*(r - 11)*(r - 1)*(r + 1)
Let g(s) = -24*s**5 + 74*s**4 - 139*s**3 + 120*s**2 - 52*s + 14. Let p(o) = 2*o**5 - o**4 + o**2 - 1. Let x(c) = g(c) + 6*p(c). Suppose x(b) = 0. Calculate b.
1/2, 2/3, 2
Let v(n) = n**4 + 2*n**3 - 1. Let t(u) = 192*u**4 + 3016*u**3 + 10768*u**2 - 6912*u + 1028. Let l(w) = -t(w) - 4*v(w). Solve l(p) = 0.
-8, 2/7
Let v(g) be the second derivative of -g**4/42 - 2*g**3/21 - g**2/7 - 2*g + 61. Determine x so that v(x) = 0.
-1
Let 22*o**2 + 0 + 0*o - 43/4*o**4 + 23/2*o**3 - 1/4*o**5 = 0. Calculate o.
-44, -1, 0, 2
Let r(n) be the second derivative of n**6/135 + 49*n**5/90 + 8*n**4/9 - 429*n. Determine f so that r(f) = 0.
-48, -1, 0
Factor -1/7*g**2 - 676/7 + 52/7*g.
-(g - 26)**2/7
Solve 28*v**4 + 11*v**4 + 20*v - 35*v**4 - 4*v**2 - 20*v**3 = 0.
-1, 0, 1, 5
Suppose -2*f = -2 - 2. Suppose 30*p - 18 = 21*p. Factor f*m**p + 8*m + 4*m - 5*m**2 - 12.
-3*(m - 2)**2
Let y(c) = -21*c**4 - 30*c**3 - 6*c**2. Let a(o) = 94*o**4 + 25*o**3 + 34*o**3 + 4*o**2 + 8*o**2 - 52*o**4. Let t(k) = 3*a(k) + 5*y(k). Factor t(s).
3*s**2*(s + 1)*(7*s + 2)
Find b such that -2/5*b**3 + 12/5*b**2 + 0 - 18/5*b = 0.
0, 3
Let j(l) be the first derivative of -26*l**3/9 - 5*l**2/12 + l/3 - 21. Factor j(r).
-(4*r + 1)*(13*r - 2)/6
Let o(n) be the third derivative of -n**5/15 + 4*n**4/3 - 10*n**3 + n**2 - 304*n. Factor o(j).
-4*(j - 5)*(j - 3)
Let v be -4 + (-4)/(-408)*689. Let z = v - 3/34. Solve -22/3*w - 14/3*w**2 - z = 0 for w.
-1, -4/7
Factor -10/7 - 68/7*r + 2*r**2.
2*(r - 5)*(7*r + 1)/7
Let d be -16 + (-304)/128*-8. Factor -8/3 + d*l - 1/3*l**2.
-(l - 8)*(l - 1)/3
Let n(q) be the first derivative of -51 + 32*q + 4/3*q**3 - 18*q**2. Factor n(y).
4*(y - 8)*(y - 1)
Let g be -4 - ((-22)/3)/((-38)/(-57)). Suppose g*n + 6*n + 0*n**2 - n**2 - 5 - 7*n = 0. What is n?
1, 5
Let n(r) be the first derivative of -1/60*r**6 + 0*r**4 + 5 + 0*r**3 - 1/40*r**5 + 4*r + 0*r**2. Let g(y) be the first derivative of n(y). Factor g(a).
-a**3*(a + 1)/2
Suppose -1 - v + 13*v**3 + 4*v**3 - 16*v**3 - 5 + 6*v**2 = 0. Calculate v.
-6, -1, 1
Let s(n) be the second derivative of n**6/75 - 3*n**5/50 - n**4/6 + n**3/5 + 4*n**2/5 - 170*n. Let s(l) = 0. Calculate l.
-1, 1, 4
Let l(g) = g**5 - 2*g**4 + 6*g**3 - 2*g**2 - 2*g - 2. Let p(o) = -5*o**5 + 9*o**4 - 31*o**3 + 11*o**2 + 11*o + 11. Let h(f) = 11*l(f) + 2*p(f). Factor h(z).
z**3*(z - 2)**2
Let k(q) be the first derivative of 0*q**4 + 1/24*q**6 + 0*q**3 + 0*q**2 - 13 + 1/20*q**5 + 0*q. Factor k(w).
w**4*(w + 1)/4
Let i(k) = -8*k**3 + 14*k**2 - 13*k + 1. Let m(v) = -7*v**2 - 1 - 2*v**3 + 0*v**3 + v**3 + v + 6*v**2. Let s(n) = -i(n) + 3*m(n). Factor s(g).
(g - 2)*(g - 1)*(5*g - 2)
Let z = -10 + 13. Find i, given that 4*i**5 + 7*i**5 - 3*i**4 - 6*i**z - 8*i**5 = 0.
-1, 0, 2
Let j(w) be the first derivative of -2*w**6/3 - 24*w**5/5 + 6*w**4 + 176*w**3/3 + 102*w**2 + 72*w - 188. Solve j(m) = 0 for m.
-6, -1, 3
Factor 1/2*r**4 + 9*r + 0 + 10*r**3 + 37/2*r**2.
r*(r + 1)**2*(r + 18)/2
Let f(p) = 8*p**3 - 18*p**2 + 24*p - 16. Let j(g) = -15*g**3 + 35*g**2 - 48*g + 32. Let t(m) = -11*f(m) - 6*j(m). Determine z, given that t(z) = 0.
2
Let m(c) be the third derivative of c**8/224 - 5*c**7/56 + 9*c**6/160 + 37*c**5/80 - 11*c**4/32 - 3*c**3/2 - 81*c**2 + 2*c. Suppose m(u) = 0. Calculate u.
-1, -1/2, 1, 12
Let j(q) = 13*q + 7. Let n(f) = -7*f - 4. Let y(s) = -3*j(s) - 5*n(s). Let o be y(-1). Factor 0*a**2 + 11*a**4 + 3*a**5 - 8*a**4 - 3*a**2 - a**3 - 2*a**o.
3*a**2*(a - 1)*(a + 1)**2
Suppose 8*a + 24 = 11*a. Factor -4*z**4 - 14*z**3 - 5*z**2 + 3*z**2 - a*z**2 - 4*z - 4*z**2.
-2*z*(z + 1)*(z + 2)*(2*z + 1)
Factor -11 + 6*h**3 + 0*h**2 - 2*h**4 + 18*h**2 + 10*h + 11.
-2*h*(h - 5)*(h + 1)**2
Let u(c) be the first derivative of -441*c**4/10 + 224*c**3 + 332*c**2/5 + 32*c/5 - 818. Factor u(x).
-2*(x - 4)*(21*x + 2)**2/5
Let r = -332/45 + 368/45. Suppose 0 + 0*g + 2/5*g**4 - r*g**2 - 2/5*g**3 = 0. Calculate g.
-1, 0, 2
Let a(p) be the second derivative of p**7/315 - p**6/180 + 19*p**2 + 28*p. Let f(d) be the first derivative of a(d). Find z such that f(z) = 0.
0, 1
Let b = -42 - -44. Let 5*j**2 + j**4 - 5*j**2 + j**2 - b*j**2 = 0. Calculate j.
-1, 0, 1
Let a be (2/3*15)/2. Suppose -16 = 3*z - 4*h - 5, -5*z + 4*h - a = 0. What is m in -z - 2*m + 21*m**2 + 2*m - 2*m - 12*m**3 - 4*m = 0?
-1/4, 1
Let r = -279/8 - -35. Let j(b) be the first derivative of 0*b + 6 + 0*b**2 - r*b**4 - 1/3*b**3. Factor j(m).
-m**2*(m + 2)/2
Let y(h) be the second derivative of -h**4/66 - 10*h**3/33 + 71*h. Suppose y(j) = 0. What is j?
-10, 0
Let q(m) be the third derivative of 12*m**2 + 1/480*m**6 + 0*m**5 + 0 + 1/448*m**8 + 0*m + 0*m**3 + 0*m**4 + 1/210*m**7. Factor q(y).
y**3*(y + 1)*(3*y + 1)/4
Let m(d) be the first derivative of d**3/7 + 15*d**2/7 + 75*d/7 - 92. Factor m(q).
3*(q + 5)**2/7
Let f(x) be the first derivative of x**5/25 + 3*x**4/20 - 2*x**3/15 - 6*x**2/5 - 8*x/5 + 147. Factor f(s).
(s - 2)*(s + 1)*(s + 2)**2/5
Let g(m) = -924*m - 14781. Let c be g(-16). Factor 2/13*v**4 + 0 + 6/13*v**2 + 0*v + 8/13*v**c.
2*v**2*(v + 1)*(v + 3)/13
Let k(a) = 24*a**2 - a - 12. Let n be k(3). Let y be (-1)/(5 + n/(-36)). Determine i so that -108/7*i**2 + 8/7 + y*i = 0.
-2/9, 1/3
Suppose 272 = -5*w - d, 0 = w - d + 30 + 28. Let g be (-2)/11 + (-120)/w. Factor 0 - 1/6*c**3 + 1/2*c**g - 1/3*c.
-c*(c - 2)*(c - 1)/6
Suppose -d = -0*d + 6 - 10. Let -4/11 + 2/11*r**d + 10/11*r - 6/11*r**2 - 2/11*r**3 = 0. What is r?
-2, 1
Let x = 396489/46 + -8619. Let p = 4/23 + x. Determine c, given that 0 + p*c**3 + 0*c - c**2 = 0.
0, 2
Let -65*n + 3*n**2 + 220*n + 7*n**2 - 4*n**2 - n**2 = 0. Calculate n.
-31, 0
Let x(o) be the second derivative of o**6/10 - 9*o**5/20 - 8*o. Factor x(a).
3*a**3*(a - 3)
Factor -2/13*b**2 - 32/13 - 16/13*b.
-2*(b + 4)**2/13
Let f(v) be the third derivative of -v**8/2016 - v**7/252 - 7*v**6/720 + v**5/360 + v**4/18 + v**3/9 + 47*v**2. Let f(g) = 0. Calculate g.
-2, -1, 1
Factor -88 - 40 - 4*p**4 - 8*p + 38*p**3 + 54*p**2 + 42*p**2 - 7*p**4 + 13*p**4.
2*(p - 1)*(p + 2)**2*(p + 16)
Let w(m) be the second derivative of -3*m**6/320 + m**5/40 + m**4/16 - 18*m**2 - 22*m. Let r(i) be the first derivative of w(i). Factor r(n).
-3*n*(n - 2)*(3*n + 2)/8
Suppose -65*u = -55*u. Factor -4/3*l**4 + 8/3*l**3 - 4/3*l**5 + u*l**2 + 0 + 0*l.
-4*l**3*(l - 1)*(l + 2)/3
Find d, given that 26/5 + 1/5*d**2 + 3*d = 0.
-13, -2
Let k(o) be the second derivative of 10/3*o**3 - 11/3*o**4 + 11*o + 4/5*o**5 + 0 + 4*o**2. Factor k(l).
4*(l - 2)*(l - 1)*(4*l + 1)
Let y(a) be the first derivative of 6*a - 1/2*a**6 - 27/2*a**2 - 21/2*a**4 + 18/5*a**5 + 4 + 16*a**3. Factor y(q).
-3*(q - 2)*(q - 1)**4
Let p = -346 - -351. Let t(u) be the second derivative of 0 + 3*u**2 + p*u + 1/2*u**3 - 1/4*u**4. Find i, given that t(i) = 0.
-1, 2
Suppose -j - 58 = 3*j - 3*r, j + 18 = -r. Let d be j/(-48) + 2/(-6). Factor 3/5*v**3 + 0 + 0*v**2 + 0*v - 3/5*v**5 + d*v**4.
-3*v**3*(v - 1)*(v + 1)/5
Let r(q) = -3*q**3 - 2*q**2 - 9*q + 6. Let x(t) = 5*t**3 + t**2 + 9*t - 7. Let i(p) = -5*r(p) - 4*x(p). Solve i(u) = 0 for u.
-1, 1/5, 2
Let k(y) be the first deriva