9. Let f be (4/150*z)/((-16)/(-480)). Solve f*a + 3/5*a**3 + 12/5*a**2 + 0 = 0 for a.
-2, 0
Factor -3 + 28*q**2 - 7 + 6*q - 46*q**3 + 0 + 10 + 12*q**4.
2*q*(q - 3)*(q - 1)*(6*q + 1)
Find b such that 158/13*b**2 - 184/13*b - 14/13*b**3 + 40/13 = 0.
2/7, 1, 10
Let j be ((-4)/5)/2*582/(-388). Determine h, given that -6/5*h**4 + 3/5*h**5 + j*h**3 + 0*h**2 + 0 + 0*h = 0.
0, 1
Let d(o) be the first derivative of 1/4*o + 3/2*o**2 + 15/4*o**4 + 23/6*o**3 - 8 + 5/4*o**5. Find k, given that d(k) = 0.
-1, -1/5
Let q(h) = 3*h**2 - 9*h + 3. Let a be q(3). Suppose -5*z**4 - 116*z + 10*z**2 - 5*z**a + 116*z = 0. Calculate z.
-2, 0, 1
Let z be (-114)/(-36) + 2/(-12). What is q in 20 + 20*q - 3*q**3 - 6*q**3 - 3*q**z - 15*q**2 - 5*q**4 - 8*q**3 = 0?
-2, -1, 1
Let y(l) be the third derivative of l**7/7560 - l**6/720 + l**5/180 + 2*l**4/3 + 5*l**2. Let f(b) be the second derivative of y(b). Let f(o) = 0. Calculate o.
1, 2
Let x(r) be the first derivative of 7*r**6/54 - 26*r**5/45 - 113*r**4/36 + 32*r**3/9 + 2*r**2 - 290. Solve x(d) = 0 for d.
-3, -2/7, 0, 1, 6
Factor -14*i**2 - 5*i**2 - 3*i**3 - 6*i**2 + 54*i - 12*i**3 - 15 + i.
-5*(i - 1)*(i + 3)*(3*i - 1)
What is s in 4/5*s**2 - 64/5 + 24/5*s = 0?
-8, 2
Let y(d) be the first derivative of -4*d**5/5 - 8*d**4 - 24*d**3 + 108*d + 61. Factor y(h).
-4*(h - 1)*(h + 3)**3
Suppose -2*k - 2 = 0, 0 = -3*c - 0*c + 3*k + 9. Factor -32*d + 40 - 18*d - 13*d**2 - 2*d**c.
-5*(d + 4)*(3*d - 2)
Let p(l) = 16*l**3 - 86*l**2 + 50*l + 14. Let c(q) = 32*q**3 - 173*q**2 + 101*q + 29. Let r(b) = 6*c(b) - 11*p(b). Determine g, given that r(g) = 0.
-1/4, 1, 5
Let f = 4255 - 63817/15. Factor -2/15*c**2 - f + 8/15*c.
-2*(c - 2)**2/15
Find a such that -24 - a**4 - 4*a**4 + 9*a**2 + 30*a - 12*a**3 + 2*a**4 = 0.
-4, -2, 1
Let j(v) be the second derivative of -v**6/30 - 3*v**5/10 - 3*v**4/4 - 57*v. Factor j(m).
-m**2*(m + 3)**2
Let p(z) be the first derivative of -z**4/22 - 8*z**3/11 - 27*z**2/11 + 1. Factor p(k).
-2*k*(k + 3)*(k + 9)/11
Determine y so that 1504*y**4 + 96*y - 285*y**2 + 183*y**3 - 748*y**4 - 750*y**4 = 0.
-32, 0, 1/2, 1
Let f be (9 + (-1526)/168)*-104. Find x, given that -10*x**3 + 4/3*x + 0 + f*x**2 = 0.
-2/15, 0, 1
Suppose 22*o = 14*o. Let x(h) be the third derivative of -2/9*h**4 + 0 - 1/18*h**5 + 7*h**2 + o*h - 4/9*h**3 - 1/180*h**6. Factor x(k).
-2*(k + 1)*(k + 2)**2/3
Suppose 100*r**4 + 10*r**5 + 12*r + 11*r**5 - 33*r**3 + 36*r**2 - 136*r**4 = 0. Calculate r.
-1, -2/7, 0, 1, 2
Determine n so that -34*n + 25*n**3 + 96*n**2 + 4*n**4 + 26*n**3 - 15*n**3 + 114*n = 0.
-5, -2, 0
Factor 0*j**2 - 136*j - 423 - 6*j**2 + 2*j**2 - 733.
-4*(j + 17)**2
Let s = 9 + -21. Let h(q) = 0*q - 12 + 28*q**2 + 10*q - 6*q**2. Let p(v) = 9*v**2 + 4*v - 5. Let w(u) = s*p(u) + 5*h(u). Find m such that w(m) = 0.
-1, 0
Let q = 1489/42 + -211/6. Factor 0 - 2/7*f**3 + 0*f + 2/7*f**2 - q*f**4 + 2/7*f**5.
2*f**2*(f - 1)**2*(f + 1)/7
Let v be (4/20*15)/(2/108). Let w = v - 160. Determine d, given that -8/7*d**w + 10/7*d - 2/7 = 0.
1/4, 1
Suppose -25*r + 52*r = 54. Factor 0 + 0*i - 5*i**r - 5/2*i**3 + 5/2*i**4.
5*i**2*(i - 2)*(i + 1)/2
Let y(b) be the first derivative of 1/16*b**4 + 2 - 1/6*b**3 - 1/8*b**2 + 1/2*b. Determine l, given that y(l) = 0.
-1, 1, 2
Suppose 11*d - 6*d = d. Let t(j) be the first derivative of -4/5*j**5 - 7 + 2*j**4 + 4*j - 4*j**2 + d*j**3. Factor t(o).
-4*(o - 1)**3*(o + 1)
Let q(t) be the first derivative of -t**4/54 - 14*t**3/27 - 49*t**2/9 + 41*t + 14. Let m(p) be the first derivative of q(p). Let m(w) = 0. Calculate w.
-7
Let h(o) be the third derivative of o**6/120 - 27*o**5/20 + 729*o**4/8 - 6561*o**3/2 - 6*o**2 - 2*o. Factor h(w).
(w - 27)**3
Suppose 209*i - 187*i = 110. Let m(b) be the third derivative of 0*b + 3/40*b**4 + 0 + 2*b**2 + 1/100*b**i + 0*b**3. Factor m(r).
3*r*(r + 3)/5
Let j be 14/6 - -5*5/15. Let c(r) be the first derivative of -3 + 7/2*r**2 - 1/5*r**5 - 2*r - 3*r**3 + 5/4*r**j. Suppose c(d) = 0. Calculate d.
1, 2
Let n = 230 + -228. Let r(p) be the first derivative of 3 - 1/15*p**3 - 1/5*p**n + 3/5*p. Suppose r(m) = 0. Calculate m.
-3, 1
Let c(r) = 11*r**3 - 12*r**2 - 38*r - 5. Let d(u) = -27*u**3 + 30*u**2 + 96*u + 12. Let o(a) = 12*c(a) + 5*d(a). Factor o(y).
-3*y*(y - 4)*(y + 2)
Let s(u) = -2*u**2 - 5*u. Let z(c) = c**2 + 4*c. Let k = 5 + -2. Let i(b) = k*z(b) + 2*s(b). Factor i(j).
-j*(j - 2)
Suppose j + 4*x = 5, -18 = -5*j - 3*x + 7. Suppose c + j*l = -7, 5*l = -2*c + l - 2. Suppose 0*s + 0 - 2/7*s**2 - 2/7*s**4 - 4/7*s**c = 0. What is s?
-1, 0
Let v be 29/((-47850)/(-407)) - 4/50. Determine l so that -11/6*l**2 + v*l**3 + 4*l + 6 = 0.
-1, 6
Let c = 118/95 + -16/19. Let t be ((-2)/4)/(25/(-20)). Solve c*j**2 + 0 + t*j = 0.
-1, 0
Let r(c) be the second derivative of c**6/720 - c**4/12 + c**3/3 - 7*c. Let g(o) be the second derivative of r(o). Solve g(k) = 0 for k.
-2, 2
Factor -2*u - 76*u**2 - 3*u**3 + 10*u + 72*u**2 - u**3.
-4*u*(u - 1)*(u + 2)
Let l(i) be the first derivative of i**6/150 - i**4/60 + 34*i + 15. Let m(s) be the first derivative of l(s). Factor m(u).
u**2*(u - 1)*(u + 1)/5
Let y(h) be the second derivative of 3 + 1/3*h**4 + 8*h**2 + 9*h + 8/3*h**3. Let y(s) = 0. Calculate s.
-2
Let a(m) be the second derivative of -7*m**7/12 - 91*m**6/20 - 67*m**5/5 - 55*m**4/3 - 12*m**3 - 4*m**2 + 51*m. What is o in a(o) = 0?
-2, -1, -2/7
Let a be (-6)/(-27) + (-70)/(-9). Suppose -n - n + a = 0. What is f in n*f**3 - 6*f**3 + 5*f**4 - 2*f**5 - 2*f**4 + f**4 = 0?
0, 1
Let g(b) = 3*b + 13. Let v(f) = -f - 1. Let i(n) = -g(n) - 6*v(n). Let k be i(3). Determine y, given that 52 - 2*y**k - 8*y**3 + 10*y**2 + 2*y**4 - 52 = 0.
0, 2
Suppose 3 = -5*f + 6*f. Let l = f - -17. Determine o, given that -1 - 3 - l*o**3 - 12*o**2 + 15*o + 16*o**4 + 5*o = 0.
-1, 1/4, 1
Suppose 2*o + 2*r + 6 = 0, -4*o + 5*r + 4 - 34 = 0. Let f be (11 + o)/(4/2). Factor -2 - 2*z**f + 4 + 2*z - 2.
-2*z*(z - 1)*(z + 1)
Let q = 82/11 + -202/33. Let a(f) be the second derivative of 0*f**2 + q*f**4 + 7*f + 2/15*f**6 + 0 + 0*f**3 + 4/5*f**5. What is g in a(g) = 0?
-2, 0
Let -5*h**4 + 156/5*h**2 + 11*h**3 + 16/5 + 92/5*h = 0. Calculate h.
-1, -2/5, 4
Factor 367 - 750 + 399 - 40*j - 28*j + 60*j**2.
4*(3*j - 1)*(5*j - 4)
Let j = 49 - 30. Factor -3*c**3 - 13*c**2 + c**4 + j*c**2 + 3*c**5 - 7*c**4.
3*c**2*(c - 2)*(c - 1)*(c + 1)
Factor 1/4*l**3 + 5/8*l**2 - 3/4*l - 1/8*l**4 + 0.
-l*(l - 3)*(l - 1)*(l + 2)/8
Let u(m) be the first derivative of -m**4/10 + 2*m**3/5 - 2*m**2/5 + 81. Factor u(z).
-2*z*(z - 2)*(z - 1)/5
Factor -d**3 + 3619*d - 3808*d - 130 + 36 - 96*d**2.
-(d + 1)**2*(d + 94)
Let c(t) be the second derivative of -6*t - 1/100*t**5 + 0 + 0*t**2 + 0*t**3 + 1/60*t**4. Determine m, given that c(m) = 0.
0, 1
Factor -42 + 51*f**2 - 48*f - 28 - 42 + 124 - 15*f**3.
-3*(f - 2)*(f - 1)*(5*f - 2)
Let q(z) be the first derivative of 0*z**4 + 0*z + 2/15*z**5 + 37 - 8/3*z**3 + 16/3*z**2. Let q(t) = 0. Calculate t.
-4, 0, 2
Let b(q) be the first derivative of 55 - 4/5*q**5 + 3*q**4 - 30*q**2 - 72*q + 28/3*q**3. Let b(u) = 0. Calculate u.
-2, -1, 3
Let g(y) = 11*y**2 - 45*y + 54. Let f(t) = 3*t**2 + t + 1. Let w(a) = -4*f(a) + g(a). Factor w(v).
-(v - 1)*(v + 50)
Suppose 0 = -2*f + u - 1 + 8, f = 4*u + 14. Factor -o + 2*o + 6*o**f - 4*o - 3*o**3.
-3*o*(o - 1)**2
Suppose 2570 + 580 = 15*f. Let w = -210 + f. Factor -g**3 - 1/2*g**4 + g + 1/2 + w*g**2.
-(g - 1)*(g + 1)**3/2
Let z(l) = -7*l**2 - 12*l - 3. Let c(k) = 13*k**2 + 5*k - 5*k**2 + 8*k + 2. Let t(s) = -2*c(s) - 3*z(s). Solve t(i) = 0.
-1
Factor 142/15*a + 4/15*a**2 + 14/3.
2*(a + 35)*(2*a + 1)/15
Let k(h) = -h**4 + 2*h**4 - 10*h**2 - 3 - 3 + h**2 - 21*h**3 - 5*h. Let i(f) = f**4 - 41*f**3 - 19*f**2 - 10*f - 11. Let t(l) = 6*i(l) - 11*k(l). Factor t(n).
-5*n*(n + 1)**3
Let c(j) be the third derivative of -j**6/40 + 27*j**5/10 - 729*j**4/8 - 6*j**2 - 2. Factor c(k).
-3*k*(k - 27)**2
Let s(c) be the first derivative of 1/13*c**4 + 0*c**2 - 2/13*c - 6/65*c**5 - 2/39*c**6 + 8/39*c**3 + 25. What is v in s(v) = 0?
-1, 1/2, 1
Let w(f) be the first derivative of f**4/8 - 2*f**3/3 - f**2/4 + 2*f + 21. Let w(r) = 0. What is r?
-1, 1, 4
Let w be ((-4)/6)/(15 - 2264/144). Factor 14/13*b - w - 2/13*b**2.
-2*(b - 6)*(b - 1)/13
Let t(u) be the third derivative of 28*u**2 + 0*u**4 + 1/20*u**5 + 0 - 1/32*u**8 + 