5*d = -4*b + 18, -6*b = -9*b + 7*d - 8. Determine g, given that 2/5*g**b - 8/5*g + 6/5 = 0.
1, 3
Let q(x) be the second derivative of x**5/150 - 11*x**4/30 + 121*x**3/15 - 1331*x**2/15 + 12*x. Factor q(s).
2*(s - 11)**3/15
Let v be -3 + (-7)/(-1) + -2. Suppose 3*y - y + 12 = 4*h, v*h = -2*y + 18. Factor -2*s**3 - s**3 - 14*s + 2 + 12*s**2 - s + y.
-3*(s - 2)*(s - 1)**2
Suppose 9/2*o**4 + 0 + 15/2*o**2 - 3/2*o**5 + 0*o + 27/2*o**3 = 0. Calculate o.
-1, 0, 5
Let u = 104 - 83. Let a(v) = -14 + 1 - 4*v + 8*v + 52*v**2. Let o(f) = -17*f**2 - f + 4. Let g(x) = u*o(x) + 6*a(x). Let g(w) = 0. Calculate w.
-1/3, 2/5
Let 7*h**3 + 65 + 53 - 15*h**2 + 2 - 2*h**3 - 50*h = 0. Calculate h.
-3, 2, 4
Let v(c) be the second derivative of c**4/30 + 4*c**3/5 - 13*c**2/5 + 12*c + 1. Find x such that v(x) = 0.
-13, 1
Let v = 54 - 49. Let s(m) be the third derivative of 1/245*m**7 - 2*m**2 + 0*m + 0 - 3/28*m**4 + 2/21*m**3 - 11/420*m**6 + 1/14*m**v. Solve s(l) = 0.
2/3, 1
Factor 0*h**5 + 18*h**2 - 161*h + 1 - 3*h**5 + 13*h**4 + 154*h - 22*h**3.
-(h - 1)**4*(3*h - 1)
Let r(o) be the first derivative of 2*o**5/5 - 5*o**4/2 - 2*o**3 + 17*o**2 - 20*o - 68. Determine v, given that r(v) = 0.
-2, 1, 5
Let g = -513 + 518. Let u(y) be the second derivative of 1/80*y**g - 1/120*y**6 + 0*y**3 + 0 + 5*y + 0*y**2 + 1/24*y**4. Factor u(c).
-c**2*(c - 2)*(c + 1)/4
Let w(x) be the third derivative of 0*x + 0 - 1/490*x**7 + 3*x**2 - 1/280*x**6 + 1/56*x**4 + 1/140*x**5 + 0*x**3. Suppose w(l) = 0. What is l?
-1, 0, 1
Let m(g) be the second derivative of -g**4/3 - 46*g**3/3 - 204*g**2 - 34*g - 8. Find u such that m(u) = 0.
-17, -6
Suppose 0 = -g + 10 + 10. Factor -g*v**2 - 9*v - 6*v - 189*v**3 + 184*v**3.
-5*v*(v + 1)*(v + 3)
Let m(z) be the second derivative of 2/15*z**6 - 5/189*z**7 + 0 + 3*z + 4/27*z**4 - 2/9*z**2 + 1/9*z**3 - 11/45*z**5. Let m(s) = 0. Calculate s.
-2/5, 1
Let o(d) = 21 - 8 + 28*d**2 + d + 40*d. Suppose 0 = 280*x - 277*x - 15. Let i(u) = -14*u**2 - 20*u - 6. Let g(j) = x*i(j) + 2*o(j). Let g(h) = 0. What is h?
-1, -2/7
Suppose -4*v + 12 = -v. Factor -2*d**3 - 4*d**3 - 3*d**v - 4*d**3 + 8*d**4.
5*d**3*(d - 2)
Determine q so that 7 - 20*q**4 + 10 - 27 - 5*q**3 + 60*q**2 - 25*q = 0.
-2, -1/4, 1
Let l(k) be the first derivative of 3*k**4/4 - 14*k**3 + 153*k**2/2 - 162*k + 532. Suppose l(s) = 0. What is s?
2, 3, 9
Let z(m) be the first derivative of -3 + 0*m**3 + 0*m**2 + 3/20*m**5 - 5*m + 0*m**4. Let x(s) be the first derivative of z(s). Factor x(v).
3*v**3
Let h be ((-2)/5 - (-5673)/(-930)) + (-21)/(-3). Solve 0 - h*v**2 + v = 0.
0, 2
Let d = 41 - 20. Let l be (28/d)/(2/(-6)). Let m(b) = -b**4 - b**2 - b. Let u(v) = -6*v**4 + 4*v**3 - 4*v**2 - 8*v + 2. Let g(y) = l*m(y) + u(y). Factor g(w).
-2*(w - 1)**3*(w + 1)
Find g, given that 578 + 13639*g**2 - 1283*g**3 + 128*g**4 + 816*g + 9679*g**2 - 9996*g + 5603*g**3 + 12588*g**2 = 0.
-17, 1/8
Let p(f) be the third derivative of -f**8/952 + 2*f**7/105 - 19*f**6/510 - 4*f**5/85 + 41*f**4/204 - 10*f**3/51 + f**2 + 121*f. Solve p(a) = 0.
-1, 1/3, 1, 10
Let d be -10 + 27/(135/62). Find u such that 18/5*u - 52/15*u**3 - 18/5 + d*u**2 + 6/5*u**4 - 2/15*u**5 = 0.
-1, 1, 3
Let l be ((6/4)/(-3))/(-1). Let a be 6/(-14) + (96/(-21) - -9). Let h**2 - 1/2 - l*h**a - 1/2*h**5 - 1/2*h + h**3 = 0. Calculate h.
-1, 1
Let u(r) be the second derivative of 0*r**3 + 0*r**4 + 1/100*r**5 + r - 4 + 1/150*r**6 + 0*r**2. Determine o so that u(o) = 0.
-1, 0
Let q = 32/11 - 309/110. Let v(x) be the second derivative of 1/12*x**4 + 0 + 1/6*x**3 - q*x**5 - x + 0*x**2. Determine p, given that v(p) = 0.
-1/2, 0, 1
Let a be (-2)/(-3)*-4*(-99)/220. Let d(h) be the first derivative of 4/3*h**3 + 3*h**2 - h**4 + 1 - a*h**5 - 1/3*h**6 + 2*h. Suppose d(t) = 0. Calculate t.
-1, 1
Let d(c) = 28*c**3 - 104*c**2 - 228*c + 256. Let m(x) = 9*x**3 - 33*x**2 - 76*x + 85. Let l(v) = 5*d(v) - 16*m(v). Factor l(k).
-4*(k - 5)*(k - 1)*(k + 4)
Suppose -2*d + d = 28. Let u = 30 + d. Factor o**5 - o - 2*o**5 + o**4 + 0*o**4 + 1 - 2*o**2 + u*o**3.
-(o - 1)**3*(o + 1)**2
Let i(q) be the third derivative of q**6/3600 + q**5/200 + q**4/48 + 2*q**3 + 8*q**2. Let v(x) be the first derivative of i(x). Solve v(h) = 0.
-5, -1
Let b = 165/146 + 27/73. Let -b*j**2 - 21*j - 147/2 = 0. Calculate j.
-7
Let o(w) be the third derivative of -1/12*w**3 - 28*w**2 + 1/240*w**5 + 0*w + 1/840*w**7 - 1/32*w**4 + 0 + 1/160*w**6. Factor o(v).
(v - 1)*(v + 1)**2*(v + 2)/4
Let z(k) = k**2 - 14. Let u be z(-4). Factor 0*x**2 + 5*x**u + 22*x**3 - 6*x - 6*x**4 - 7*x**3 - 8*x**2.
-3*x*(x - 2)*(x - 1)*(2*x + 1)
Let k(x) be the first derivative of -3/10*x**4 + 0*x**2 + 0*x**3 + 9/25*x**5 + 0*x + 5 - 1/10*x**6. Factor k(d).
-3*d**3*(d - 2)*(d - 1)/5
Let -2*o**2 + 2*o**3 + 2/5*o**4 - 8/5*o + 8/5 - 2/5*o**5 = 0. What is o?
-2, -1, 1, 2
Let q be (20*3)/(-3)*-1. Let z be 1/(5/2)*q. Suppose -5*k + 3*k**2 + 3*k**3 + 2*k - z*k**4 + 5*k**4 = 0. What is k?
-1, 0, 1
Let u(p) be the third derivative of -1/8*p**4 + 1/180*p**5 - 17*p**2 + 0*p + 0 + 4/9*p**3. Factor u(k).
(k - 8)*(k - 1)/3
Let j(i) = i - 11. Let r be j(13). Find t, given that -49*t**2 - 2*t + 29*t**2 + 26*t**r = 0.
0, 1/3
Let 27/8*f**2 + 3 - 57/4*f = 0. What is f?
2/9, 4
Let h = -3 - 27. Let y be (-15)/h - 2/28. Determine z so that y*z**2 + 0 - 6/7*z = 0.
0, 2
Find f such that 10/3*f**2 + 14/3*f**4 - 10*f**3 - 8 - 2/3*f**5 + 32/3*f = 0.
-1, 1, 2, 3
Let h be (83 + -83)/(2/(-2)). Let h*m**2 + 0 + 14/9*m**5 + 52/9*m**4 + 0*m - 16/9*m**3 = 0. Calculate m.
-4, 0, 2/7
Let g(i) = i**5 - i**3 + 1. Let c(l) = -2*l**5 - 3*l**4 + 3*l**3 + 4*l**2 - 3. Let m(a) = -2*c(a) - 6*g(a). Factor m(v).
-2*v**2*(v - 2)**2*(v + 1)
Let m(n) be the third derivative of 1/60*n**4 + n**2 + 0*n + 1/1050*n**7 - 1/300*n**6 + 0*n**5 - 1/30*n**3 + 0. Determine b so that m(b) = 0.
-1, 1
Let f = -7/18 - -289/720. Let l(w) be the third derivative of -1/24*w**3 - f*w**5 - 3*w**2 + 0*w + 0 + 1/24*w**4. Factor l(v).
-(v - 1)*(3*v - 1)/4
Solve -11*r + 22*r - 1 - 3*r + 5*r**2 - 4*r = 0 for r.
-1, 1/5
Let s(j) be the second derivative of -j**6/75 + 7*j**5/50 + 4*j**4/15 + 85*j. Let s(f) = 0. Calculate f.
-1, 0, 8
Let s(v) be the first derivative of v**3 - 27*v**2 - 57*v - 19. Factor s(x).
3*(x - 19)*(x + 1)
Let a(r) be the second derivative of -r**6/60 + 13*r**5/45 - 16*r**4/9 + 32*r**3/9 - r**2 + 12*r. Let s(w) be the first derivative of a(w). Factor s(y).
-2*(y - 4)**2*(3*y - 2)/3
Let i = 74/765 + 1/306. Let j(a) be the second derivative of -i*a**5 - 3*a + 1/3*a**3 - 2*a**2 + 0 + 1/3*a**4. Factor j(v).
-2*(v - 2)*(v - 1)*(v + 1)
Let u(d) be the second derivative of -d**6/90 + 2*d**5/15 - 5*d**4/12 - 4*d**3/9 + 8*d**2/3 - 93*d + 1. Factor u(q).
-(q - 4)**2*(q - 1)*(q + 1)/3
Factor -22*d**4 - 15*d**2 + 9*d - 60*d**3 - 122 + 27*d**4 + 181*d + 2.
5*(d - 12)*(d - 1)**2*(d + 2)
Let b = -31761 - -412901/13. Let -b*m**4 - 2/13*m**5 + 0 + 6/13*m - 4/13*m**3 + 8/13*m**2 = 0. Calculate m.
-3, -1, 0, 1
Let g(d) be the first derivative of -25*d**4 + 80*d**3 - 42*d**2 + 8*d + 68. Factor g(r).
-4*(r - 2)*(5*r - 1)**2
Let j be -74*1*(-2 + -1). Factor -12*u**2 - 4*u**4 + j*u**3 + 0*u - 210*u**3 + 4*u.
-4*u*(u - 1)**3
Let m(g) be the third derivative of -3*g**2 + 0*g + 0 + 4/9*g**3 - 1/90*g**6 + 1/6*g**4 + 0*g**5. Factor m(z).
-4*(z - 2)*(z + 1)**2/3
Let -22*z**2 - 62/3*z + 64/3 + 62/3*z**3 + 2/3*z**4 = 0. Calculate z.
-32, -1, 1
Solve 30*v + 65/2 - 5/2*v**2 = 0.
-1, 13
Let 548/3*a**3 - 130/3*a - 160/3*a**4 + 200/3 - 472/3*a**2 + 14/3*a**5 = 0. Calculate a.
-4/7, 1, 5
Let d(y) be the first derivative of 0*y**3 + 2 + 0*y**2 - 1/22*y**4 - 1/110*y**5 - 13*y. Let g(m) be the first derivative of d(m). Find k, given that g(k) = 0.
-3, 0
Suppose 12*c = 22*c. Let d(j) be the second derivative of -j**3 + 1/6*j**4 + c + 2*j**2 - 5*j. Factor d(y).
2*(y - 2)*(y - 1)
Let j(m) be the third derivative of -26*m**2 + 1/30*m**4 + 0*m + 0 - 1/150*m**5 + 1/5*m**3. Factor j(z).
-2*(z - 3)*(z + 1)/5
Let d = 6502/11403 + 2/1629. Factor 0*m + 8/7*m**4 + 0 + 0*m**2 + 0*m**3 + d*m**5.
4*m**4*(m + 2)/7
Suppose 18*z**2 + 360*z**3 - 4*z**4 + 8*z + 359*z**3 - 6*z**2 - 719*z**3 = 0. Calculate z.
-1, 0, 2
Let v(i) be the first derivative of 0*i**2 + 2*i + 12 - 2/3*i**3. Factor v(r).
-2*(r - 1)*(r + 1)
Factor -30*k - 30*k**2 - 30*k**2 + 3*k**3