rd derivative of 0*j + 0*j**3 + 0 - 1/360*j**5 - 3*j**2 + 1/1260*j**7 - 1/720*j**6 + 1/144*j**4. Find g, given that m(g) = 0.
-1, 0, 1
Let o be 2/(24/(-100))*-1 + 1. Let g be 4/18 + 20/18. Suppose o*m + g + 49/3*m**2 = 0. Calculate m.
-2/7
Let x(a) be the first derivative of 1/24*a**4 - 1/2*a**3 - 15 + 5/4*a**2 - 7/6*a. Solve x(y) = 0 for y.
1, 7
Let k(i) be the second derivative of 0*i**2 + 0 - 5/39*i**3 - 1/78*i**4 + 24*i. What is x in k(x) = 0?
-5, 0
Let f be 3/(-6) - (-2 - 9/(-6)). Let c(s) be the first derivative of 3/8*s**2 + 3/16*s**4 + f*s - 5 + 1/2*s**3. Factor c(x).
3*x*(x + 1)**2/4
Solve -80/7*t + 24/7*t**2 + 4/7*t**3 + 64/7 - 2/7*t**4 = 0 for t.
-4, 2
Factor -16*f**4 + 2*f - 9*f - 41*f**2 - 84*f**3 - 3*f - 43*f**2 - 6*f.
-4*f*(f + 1)*(f + 4)*(4*f + 1)
Suppose -2*x = 9 - 19. Let m(s) be the third derivative of 0*s**3 + 1/35*s**7 - s**2 - 1/60*s**6 + 1/6*s**4 + 0*s + 3/448*s**8 - 2/15*s**x + 0. Factor m(w).
w*(w + 2)**2*(3*w - 2)**2/4
Factor -2/3 - 10/9*i**2 - 14/9*i - 2/9*i**3.
-2*(i + 1)**2*(i + 3)/9
Let u = 8 - 8. Suppose 0 = -a - u*a + 6. Let i(m) = 4*m**2 - m - 3. Let j(g) = 23*g**2 - 6*g - 17. Let t(h) = a*j(h) - 34*i(h). Solve t(z) = 0 for z.
0, 1
Let q = -70 + 71. Let h be (38/36 - q)/(5/100). Factor 2/3*b + h*b**2 - 2/9*b**4 + 2/9*b**3 + 0.
-2*b*(b - 3)*(b + 1)**2/9
Let s = -32 - -31. Let f(i) = -15*i**2 + 60*i - 12. Let b(x) = x**2. Let h(q) = s*f(q) + 12*b(q). Find o, given that h(o) = 0.
2/9, 2
Let h = -3829 - -3832. Suppose 0*j**2 + 3/4*j**h + 0*j + 0 = 0. What is j?
0
Let m(u) = -24*u**2 + 408*u - 6936. Let i(d) = 11*d**2 - 204*d + 3468. Let j(a) = 9*i(a) + 4*m(a). What is h in j(h) = 0?
34
Let o(c) be the second derivative of -c**6/1440 - c**5/16 - 75*c**4/32 + 2*c**3/3 - 49*c. Let j(u) be the second derivative of o(u). Factor j(f).
-(f + 15)**2/4
Let a(c) be the third derivative of -c**8/1008 - c**7/210 + c**6/180 + c**5/30 - c**4/72 - c**3/6 - 64*c**2 + 3. Let a(b) = 0. Calculate b.
-3, -1, 1
Let x(d) be the second derivative of 2/3*d**4 + 16*d - 1/20*d**5 - 7/2*d**3 + 0 + 9*d**2. Factor x(z).
-(z - 3)**2*(z - 2)
Let i(l) = 8*l**3 - 57*l**2 - 32*l + 183. Let w(x) = 4*x**3 - 28*x**2 - 16*x + 92. Let m(h) = 4*i(h) - 9*w(h). Find j, given that m(j) = 0.
-2, 2, 6
Let b(v) = -10*v**2 - 36*v - 162. Let k(s) = 2*s**2. Let a(t) = -b(t) - 4*k(t). Factor a(g).
2*(g + 9)**2
Let i(s) = s**2 - 8*s + 9. Let u be i(7). Factor 2*l**2 + u*l**2 - l - 3*l.
4*l*(l - 1)
Let p(b) be the first derivative of 4*b**5/25 + 33*b**4/20 - 124*b**3/15 - 33*b**2/10 + 71. Factor p(h).
h*(h - 3)*(h + 11)*(4*h + 1)/5
Let t(z) be the first derivative of -3*z**4/4 - 131*z**3 - 13065*z**2/2 - 12675*z + 457. Solve t(i) = 0.
-65, -1
Let w(m) be the first derivative of -6/5*m**3 - 2/5*m**4 + 27/5*m - 1/25*m**5 - 22 + 0*m**2. Factor w(n).
-(n - 1)*(n + 3)**3/5
Find u, given that -2847904 + 1740*u**2 - 67171*u - 5*u**3 - 134669*u + 10652384 = 0.
116
Let s = 47 - 75. Let r = -111/4 - s. Factor -1/4*v + 1/4*v**2 - 1/4*v**4 + 0 + r*v**3.
-v*(v - 1)**2*(v + 1)/4
Let p(w) be the second derivative of -w**7/280 + w**6/120 + w**5/20 - 7*w**3/6 + 7*w. Let t(r) be the second derivative of p(r). Factor t(v).
-3*v*(v - 2)*(v + 1)
Let u(d) = 9*d**4 - 32*d**2 - 10*d + 59. Let w(i) = 4*i**4 - 16*i**2 - 4*i + 30. Let p(c) = -2*u(c) + 5*w(c). Factor p(v).
2*(v - 2)**2*(v + 2)**2
Suppose -6*n = -7*n, -6 = -3*r + 2*n. Factor 3/8*f**r + 33/8*f - 9/2.
3*(f - 1)*(f + 12)/8
Let d(u) be the third derivative of u**8/2184 - 2*u**7/273 - u**6/20 - 2*u**5/195 + u**4/3 + 16*u**2. Let d(x) = 0. Calculate x.
-2, 0, 1, 13
Factor -189 - 183/2*t + 3/2*t**2.
3*(t - 63)*(t + 2)/2
Let s(t) be the second derivative of 13*t + 11/10*t**5 + 2/3*t**4 - 1/2*t**3 - t**2 + 5/42*t**7 + 0 + 3/5*t**6. Factor s(g).
(g + 1)**4*(5*g - 2)
Let v(g) be the third derivative of -g**8/840 - g**7/21 - 19*g**6/30 - 43*g**5/15 - 77*g**4/12 - 121*g**3/15 - 161*g**2 - 1. Factor v(z).
-2*(z + 1)**3*(z + 11)**2/5
Find c such that -3*c**4 + 9/5*c**3 - 9/5*c + 21/5*c**2 - 6/5 = 0.
-1, -2/5, 1
Let b(n) be the second derivative of 5*n**6/6 - 47*n**5/4 + 155*n**4/4 - 325*n**3/6 + 35*n**2 + 69*n - 3. Solve b(r) = 0.
2/5, 1, 7
Factor -31*n - 10*n - 48 - 4*n**2 + 13*n.
-4*(n + 3)*(n + 4)
Let q(u) = 9*u**2 + 15*u + 12. Let d(y) = -8*y**2 - 14*y - 11. Suppose 3*m + 2*m + 5 = 0, -25 = -4*v + m. Let b(o) = v*d(o) + 5*q(o). Factor b(i).
-3*(i + 1)*(i + 2)
Let w = 5709/2 + -8563/3. Factor -1/2*h**3 - w*h**5 + 0 + 0*h - 1/2*h**4 - 1/6*h**2.
-h**2*(h + 1)**3/6
Let u = 4070/771 - -14/257. Factor u - 2*i**3 + 8*i + 1/3*i**2 + 1/3*i**4.
(i - 4)**2*(i + 1)**2/3
Let q be 240/(-96) + (-22)/(-4). Find r, given that 4/5*r**q + 16/5*r**2 + 8/5 + 4*r = 0.
-2, -1
Suppose 2*h + 3*d - 15 = 3, -4*h + 16 = -4*d. Let -2*s**4 + 0*s + 4*s**4 + h*s**2 - s + 3*s + 6*s**3 = 0. Calculate s.
-1, 0
Suppose 2*b - 12 = -2*l, -6*b = 4*l - 5*b - 15. Let t be (1 - 11)*(-6)/l. Factor -90*o + 5*o + 84*o**2 + t - 44*o**3 + 24*o**3 + 16*o**2.
-5*(o - 4)*(2*o - 1)**2
Let m(u) be the first derivative of 2*u**3/3 + 19*u**2 - 40*u + 170. Factor m(a).
2*(a - 1)*(a + 20)
Let z = 15478/3 + -110398/21. Let v = 98 + z. Factor -10/7*n**2 + 18/7 - 6/7*n - v*n**3.
-2*(n - 1)*(n + 3)**2/7
Suppose 0 = 19*v - 72 + 34. Let u(n) be the second derivative of 7/6*n**4 - 2/3*n**3 + 0 + v*n + 0*n**2. Factor u(l).
2*l*(7*l - 2)
Factor -3*r**3 + 2*r**3 - 2*r**2 + 0*r**3 - 1251*r**4 + r**5 + 1253*r**4.
r**2*(r - 1)*(r + 1)*(r + 2)
Let h(w) be the first derivative of 2*w**6/3 - w**4 - 85. Find o such that h(o) = 0.
-1, 0, 1
Let g(a) be the first derivative of -4*a**5/5 + 26*a**4 - 772*a**3/3 + 624*a**2 - 576*a + 55. Solve g(x) = 0 for x.
1, 12
Factor 0*k + 8*k**2 - 10*k**5 + 26*k**5 - 15*k**3 - k - 8*k**4.
k*(k - 1)*(k + 1)*(4*k - 1)**2
Factor 0*h + 0 - 16/9*h**4 + 16/9*h**3 - 4/9*h**2.
-4*h**2*(2*h - 1)**2/9
Suppose 3*b + 0 + 9 = 0. Let u(o) = o**3 - o**2 - o + 1. Let l(i) = 6*i**3 + 3*i**2 - 6*i - 3. Let p(a) = b*u(a) + l(a). Factor p(c).
3*(c - 1)*(c + 1)*(c + 2)
Let b = -40 - -40. Suppose b = -k - k + 8*k. Let 1/4*t**3 - 1/4*t + 1/4*t**2 - 1/4*t**4 + k = 0. Calculate t.
-1, 0, 1
What is z in 1222*z**2 + 1161*z**2 + 99*z - 2311*z**2 - 271*z + 90 + 12*z**3 - 2*z**4 = 0?
-5, 1, 9
Solve 11*s**3 + 13*s**3 - 67*s**2 + 8*s - s**2 + 7*s + 2*s**2 = 0.
0, 1/4, 5/2
Let l(b) be the first derivative of -20*b**5 - 110*b**4 - 724*b**3/3 - 264*b**2 - 144*b - 77. Find o, given that l(o) = 0.
-6/5, -1
Suppose c - 16 = 3*d, -c - 4*d = -0*d + 12. Find h, given that -3*h**2 + 2*h**3 - 11*h**3 - 3*h**5 - 3*h**5 - 9*h**c + 3*h**5 = 0.
-1, 0
Let g = 17/100 - -3/100. Let u = 10 - 7. Factor -g*m**2 + 0 + 1/5*m**u + 0*m.
m**2*(m - 1)/5
Let g(a) = -6*a**5 - 2*a**4 + 3*a**3 + 5*a. Let l(x) = -x**5 - x**4 + x**3 + x. Let y(z) = -g(z) + 5*l(z). Factor y(k).
k**3*(k - 2)*(k - 1)
Let r = 1250 + -3904/3. Let g = -50 - r. Factor 2/3 + 2/3*k**2 - g*k.
2*(k - 1)**2/3
Suppose 0 = -2*k + 5*k - 18. Let t be (-18)/(-3)*8/k. Solve 24*p**2 - t*p + 6 - p - 21*p**2 = 0.
1, 2
Let l(n) be the first derivative of n**8/5880 - n**7/588 + 2*n**6/315 - n**5/105 - 5*n**3 + 26. Let p(i) be the third derivative of l(i). Factor p(h).
2*h*(h - 2)**2*(h - 1)/7
Let v(a) = a**2 - 2*a - 3. Let p be v(-3). Let m = 14 - p. Find h such that -h**2 + 12*h - 1 + m - 3 - 9*h = 0.
1, 2
Factor 72000 - 1200*c - 12778*c**2 + 6391*c**2 + 6392*c**2.
5*(c - 120)**2
Let x(c) be the second derivative of c**8/3360 - c**7/630 - c**6/360 + c**5/30 - 7*c**4/4 + 10*c. Let s(k) be the third derivative of x(k). Factor s(d).
2*(d - 2)*(d - 1)*(d + 1)
Let k = -36 - -41. Suppose -1 = -k*v + 14. Suppose 2/3*m**4 - 2/3*m - 2*m**2 + 4/3 + 2/3*m**v = 0. What is m?
-2, -1, 1
Let t = -19 - -21. Let v be (12/(-50))/(18/(-45)). Factor -v*z**t - 6/5*z + 0.
-3*z*(z + 2)/5
Solve 4 + 9*u - 5 - 48*u**2 - 53*u + 20*u**3 + 25 = 0.
-1, 2/5, 3
Let u = -1030/17 - -5558/85. Suppose 54/5*n**3 - 54/5*n**2 - u*n + 24/5 = 0. What is n?
-2/3, 2/3, 1
Suppose 3*g + 76 = 244. Factor 5*r**3 + 10*r + g*r**2 - 41*r + 11*r**3 + 4.
(r + 4)*(4*r - 1)**2
Suppose 3*y - 11*c + 7*c = 21, 5*y - 35 = -c. Let i be (-1)/y + (-10 + 2)/(-8). Let 0*a + 3/7*a**3 - 27/7*a**5 + 54/7*a**4 - i*a**2 + 0 = 0. Calculate a.
-1/3, 0, 1/3, 2
Let y(d) be the second derivative of -d**4/9 - 52*d**3/9 - 50*d**2/3 + 3*d - 2. Suppo