mine b so that 36/5*b + 8*b**3 + 74/5*b**2 + 0 + 2/5*b**4 = 0.
-18, -1, 0
Let o(q) be the second derivative of q**6/20 - 7*q**5/20 + 19*q**4/24 - q**3/3 - q**2 + 183*q. Factor o(n).
(n - 2)**2*(n - 1)*(3*n + 1)/2
Factor 48/5*z + 0 - 2/5*z**3 + 4*z**2.
-2*z*(z - 12)*(z + 2)/5
Let a = 6371/9 + -707. Solve 10/9*t**2 + 22/9*t**3 + a*t**4 + 0 - 4/9*t = 0.
-2, -1, 0, 1/4
Let i(t) be the third derivative of -t**7/525 - t**6/25 - 7*t**5/25 - t**4/3 + 5*t**3 - 29*t**2 - 6. Suppose i(r) = 0. What is r?
-5, -3, 1
Factor -46*y - 174*y**2 + 62*y**3 + 110*y + 78*y - 2*y**4 - 56 + 28*y.
-2*(y - 28)*(y - 1)**3
Let b(y) be the third derivative of y**6/480 + 17*y**5/120 + 65*y**4/96 + 4*y**3/3 + 65*y**2 + 2*y. Factor b(w).
(w + 1)**2*(w + 32)/4
Let o(u) be the first derivative of -1/10*u**5 + 3/8*u**4 + u - 3/4*u**2 - 1/6*u**3 + 5. Factor o(c).
-(c - 2)*(c - 1)**2*(c + 1)/2
Let d(r) be the first derivative of r**4/2 + 62*r**3/3 - 34*r**2 - 128*r + 348. Factor d(v).
2*(v - 2)*(v + 1)*(v + 32)
Factor -60/23 - 22/23*m - 2/23*m**2.
-2*(m + 5)*(m + 6)/23
Suppose 2*v + 4 = 4*x, -4*x + v + 4 = -0*x. Let n(o) = 21*o - 21. Let c be n(x). What is z in 1/3*z**4 - 1/3*z**2 + 0*z + 0 + c*z**3 = 0?
-1, 0, 1
Factor 9/8*x**2 + 0 + 1/8*x**3 + 7/4*x.
x*(x + 2)*(x + 7)/8
Let z(g) = -g**3 + 27*g**2 + 93*g + 131. Let l(i) = -406*i - 136*i**2 + 6*i**3 - 388*i + 330*i - 656. Let w(o) = 3*l(o) + 16*z(o). Factor w(q).
2*(q + 4)**3
Let r(t) = 20*t**3 - 40*t**2 - 65*t. Let i(n) = 9*n**3 - 20*n**2 - 31*n. Let h(v) = 5*i(v) - 2*r(v). Factor h(p).
5*p*(p - 5)*(p + 1)
Let n(y) be the first derivative of y**6/12 + 7*y**5/10 + 11*y**4/8 - 19*y**3/6 - 15*y**2 - 18*y - 255. Let n(i) = 0. What is i?
-3, -2, -1, 2
Let b(h) = -2*h**5 - h**3 - h**2 - 2*h - 1. Let u(q) = 15*q**5 + 12*q**4 + 30*q**3 - 21*q**2 + 18*q + 9. Let i(t) = -9*b(t) - u(t). Factor i(k).
3*k**2*(k - 5)*(k - 1)*(k + 2)
Factor 0*s + 0*s**2 - 5*s**2 - 3*s + 43*s + 45 + 0*s**2.
-5*(s - 9)*(s + 1)
Find b such that -9/4 + 15/2*b**3 - 15/2*b**2 + 39/4*b**4 - 39/4*b + 9/4*b**5 = 0.
-3, -1, -1/3, 1
Let p(s) be the third derivative of s**8/840 - 7*s**6/300 + s**5/25 - 19*s**2 - s. Let p(d) = 0. Calculate d.
-3, 0, 1, 2
Let c(j) = 7*j**3 + 16*j**2 + 90*j + 18. Let w(z) = z**3 - z**2 + z. Let v(t) = 4*c(t) - 44*w(t). Factor v(s).
-4*(s - 9)*(s + 2)*(4*s + 1)
Factor -3/4*u**2 - 363/4 + 33/2*u.
-3*(u - 11)**2/4
Let d(l) = -20*l**3 + 100*l**2 - 165*l + 55. Let j(p) = 10*p**3 - 49*p**2 + 82*p - 27. Let k(s) = -3*d(s) - 5*j(s). Factor k(b).
5*(b - 3)*(b - 2)*(2*b - 1)
Let q(x) be the third derivative of x**7/1400 + x**6/200 - 3*x**5/100 - x**4/5 + 17*x**3/6 - 14*x**2. Let m(c) be the first derivative of q(c). Solve m(d) = 0.
-4, -1, 2
Let x(f) be the third derivative of f**6/120 + f**5/4 - 11*f**4/8 + 17*f**3/6 + f**2 + 52*f. What is k in x(k) = 0?
-17, 1
Let r be 16*22/616 + (-62)/(-63) - 0. Factor 4/9 + 10/9*v**3 + 2/9*v**4 + 2*v**2 + r*v.
2*(v + 1)**3*(v + 2)/9
Let s(q) be the first derivative of -2*q**3/21 + 23*q**2/7 - 146. Let s(r) = 0. What is r?
0, 23
Solve 0 + 21/4*q**2 - 3/4*q**3 + 6*q = 0.
-1, 0, 8
Let m(r) be the third derivative of -r**7/350 + 3*r**6/100 - 9*r**5/100 + 2*r**2 - 2*r. Find p such that m(p) = 0.
0, 3
Let l be (7/(-98) - (-41)/(-14))/(-1). Let p(f) be the second derivative of 0 - 9*f + 25/24*f**4 + 5/4*f**l - 45/4*f**2 + 1/8*f**5. Factor p(o).
5*(o - 1)*(o + 3)**2/2
Factor 145/4*v - 5/4*v**3 + 75/4 + 65/4*v**2.
-5*(v - 15)*(v + 1)**2/4
Let j = -22 + 22. Suppose -2*g - 5*g**5 + 3*g**3 + 3*g**5 + g**3 + j*g**5 = 0. Calculate g.
-1, 0, 1
Let g(n) = -5*n - 21. Let h be g(-9). What is r in r - 51*r**2 + 22*r**3 + 12*r**5 - 3*r**5 + 0*r**5 - h*r**4 + 43*r**2 = 0?
0, 1/3, 1
Let d(j) be the first derivative of j**7/1400 - j**6/120 + j**5/25 - j**4/10 + 11*j**3 - 9. Let k(f) be the third derivative of d(f). Factor k(x).
3*(x - 2)**2*(x - 1)/5
Let a = 4874/9 + -69829/126. Let i = -23/2 - a. Determine s, given that 8/7 + 0*s**4 + 12/7*s + 4/7*s**5 - i*s**2 - 16/7*s**3 = 0.
-1, 1, 2
Suppose -4*g - u = -4, -u = -g - 6*u + 20. Let c be ((-5)/(-30))/(3/6). Determine t, given that -2/3*t**2 + 1/3*t**3 + g + c*t = 0.
0, 1
Let n be 4/34*(-289)/(-187). Suppose 0 + n*m**2 - 6/11*m = 0. Calculate m.
0, 3
Let x(m) be the first derivative of -11 + 3/10*m**4 + 0*m**2 + 2/15*m**3 + 6/25*m**5 + 0*m + 1/15*m**6. Factor x(b).
2*b**2*(b + 1)**3/5
Let s(o) be the second derivative of -5*o**4/12 - 11*o**3/6 + 2*o**2 - 33*o. Let n(h) = -5*h**2 - 10*h + 5. Let m(y) = -6*n(y) + 5*s(y). Factor m(r).
5*(r - 1)*(r + 2)
Let z(q) be the second derivative of q**4/72 + 103*q**3/9 + 10609*q**2/3 - 70*q + 2. Suppose z(n) = 0. Calculate n.
-206
Let c(j) = -3*j - 19. Let w be c(-10). Factor -11*z + w*z + 10*z - 25*z**2.
-5*z*(5*z - 2)
Let n = 42 - 37. Factor 41*x**4 - 5*x**n + x**5 + 0*x - 4*x + 4 - 8*x**2 - 37*x**4 + 8*x**3.
-4*(x - 1)**3*(x + 1)**2
Let g(d) = 39*d**2 - 120*d - 30. Let v(a) = -a + 5. Let x(l) = g(l) + 6*v(l). What is o in x(o) = 0?
0, 42/13
Let n(y) be the second derivative of -y**4/16 - 13*y**3/4 - 75*y**2/8 - 250*y. Let n(c) = 0. Calculate c.
-25, -1
Let n(u) be the second derivative of -u + 1/4*u**4 + u**2 - 1/30*u**6 - 1/20*u**5 + 0 + 5/6*u**3. Factor n(z).
-(z - 2)*(z + 1)**3
Let n = 2/517 - -992/10857. Let h(m) be the first derivative of n*m**6 - 2/7*m**4 + 2/7*m**3 + 2/7*m**2 + 2 + 0*m - 6/35*m**5. Solve h(d) = 0 for d.
-1, -1/2, 0, 1, 2
Suppose -41*y - 330 = -43*y. Let s = -493/3 + y. Factor 0*c**3 - 4/3*c**4 + 4/3*c**2 - 2/3*c**5 + s*c + 0.
-2*c*(c - 1)*(c + 1)**3/3
Let a(m) = -9*m**2 + 21*m + 22. Let g be a(3). Let w(f) be the second derivative of 19/9*f**3 + 0 - 1/6*f**5 - 2*f**2 + 4*f - 4/9*f**g. Factor w(s).
-2*(s - 1)*(s + 3)*(5*s - 2)/3
Find g, given that 1/3*g**5 + 0 + 4/3*g**3 - 5/3*g + 2*g**4 - 2*g**2 = 0.
-5, -1, 0, 1
Let q(j) be the first derivative of j**6/14 - 3*j**5/35 - 9*j**4/28 + j**3/7 + 3*j**2/7 + 36. Suppose q(n) = 0. What is n?
-1, 0, 1, 2
Let v(d) be the third derivative of d**9/98280 + d**8/14560 - d**7/4095 + 7*d**4/8 - 22*d**2. Let y(a) be the second derivative of v(a). Factor y(k).
2*k**2*(k - 1)*(k + 4)/13
Suppose -9 - 93/2*v - 70*v**2 - 49/2*v**3 = 0. Calculate v.
-2, -3/7
Let j = -2/2617 - -10506/49723. Determine x, given that 2/19*x**3 + 0*x - j*x**2 + 0 = 0.
0, 2
Let j(h) be the second derivative of 1/160*h**6 + 1/80*h**5 - 5/2*h**2 + 0*h**3 + 3*h + 0 + 0*h**4. Let z(m) be the first derivative of j(m). Factor z(x).
3*x**2*(x + 1)/4
Let x(f) be the first derivative of 0*f**4 + 1/20*f**5 + 0*f**3 - 1/24*f**6 + 0*f + 0*f**2 - 29. Factor x(c).
-c**4*(c - 1)/4
Let x(t) be the third derivative of t**8/112 - 11*t**7/35 + 67*t**6/20 - 83*t**5/5 + 345*t**4/8 - 63*t**3 + 327*t**2. Let x(y) = 0. What is y?
1, 3, 14
Let k be 1 - -2 - (-2 + (-522)/(-4)). Let j = 127 + k. Let j + h - 1/2*h**2 = 0. What is h?
-1, 3
Let t(o) be the third derivative of -o**9/540 - 23*o**8/1680 - 2*o**7/63 - o**6/45 - o**4/4 + 15*o**2. Let s(p) be the second derivative of t(p). Factor s(u).
-4*u*(u + 1)*(u + 2)*(7*u + 2)
Suppose -5*h = -9*h + 40. Let z(i) = -9*i + h*i + 1 - 4*i**2 - 3*i**2 - i**3. Let w(j) = 3*j**3 + 20*j**2 - 3*j - 3. Let y(k) = -6*w(k) - 17*z(k). Factor y(t).
-(t - 1)*(t + 1)**2
Let g = -86 - -120. Factor g*p**3 - p**5 - 30*p**3 + 4*p**4 - 3*p**5 - 4*p**2.
-4*p**2*(p - 1)**2*(p + 1)
Let g(y) be the first derivative of -13/3*y**2 + 16/9*y**3 + 15 - 4*y. Solve g(c) = 0.
-3/8, 2
Let y(o) be the third derivative of 1/30*o**6 - 1/6*o**4 + 0*o + 4/3*o**3 + 0 - 14*o**2 - 2/15*o**5. Factor y(w).
4*(w - 2)*(w - 1)*(w + 1)
Let k(a) be the third derivative of a**6/180 + 7*a**5/180 + a**4/18 + 7*a**3/6 - 7*a**2. Let r(u) be the first derivative of k(u). Let r(l) = 0. What is l?
-2, -1/3
Let c(r) be the second derivative of 2/3*r**3 - 1/5*r**5 + 5/6*r**4 + 0*r**2 + 0 - 1/3*r**6 - 14*r. Suppose c(s) = 0. Calculate s.
-1, -2/5, 0, 1
Let x(n) be the third derivative of 4*n**2 + 0 + 1/25*n**5 - 1/100*n**6 + 0*n**3 + 1/5*n**4 + 0*n - 1/350*n**7. Solve x(u) = 0.
-2, 0, 2
Let s(c) = 2*c**2 + 34*c + 122. Let f be s(-5). Factor 0 - 1/5*p**f + 0*p.
-p**2/5
Let k(p) be the second derivative of -p**8/3360 + p**6/360 + p**4/6 - 20*p. Let y(d) be the third derivative of k(d). Solve y(h) = 0 for h.
-1, 0, 1
Let j(b) be the third derivative of -5