2 + 30*l**3 + 64*l = 0.
-4, -2, 0
Let p(n) be the second derivative of n**7/14 - 3*n**6 + 21*n**5/5 + 15*n**4/2 - 29*n**3/2 + 2*n + 75. Determine a, given that p(a) = 0.
-1, 0, 1, 29
Let l = 154 - 134. Suppose -l = -4*n, -2*z - 5*n + 27 + 10 = 0. Factor -2/3*c**2 - z + 4*c.
-2*(c - 3)**2/3
Let i = -3660 + 3662. Factor -i*b**3 + 8/3*b**2 - 2/3*b + 0.
-2*b*(b - 1)*(3*b - 1)/3
Let c(g) be the first derivative of 1/24*g**4 + 9/4*g**2 - 1/2*g**3 + 7*g - 3. Let t(h) be the first derivative of c(h). Suppose t(a) = 0. What is a?
3
Let g(b) be the second derivative of -b**8/840 - b**7/420 + b**6/360 + 11*b**4/12 + 13*b. Let a(k) be the third derivative of g(k). Factor a(q).
-2*q*(q + 1)*(4*q - 1)
Let x = 1 + 14. What is v in -23*v**3 - 6*v**4 - 48*v - 12 - 78*v**2 + x*v**2 - 10*v**3 = 0?
-2, -1, -1/2
Let z(y) be the second derivative of -5*y**5/4 - 215*y**4/12 - 60*y**3 + 90*y**2 - 14*y - 2. Factor z(c).
-5*(c + 3)*(c + 6)*(5*c - 2)
Let q(y) be the second derivative of -y**6/195 - 2*y**5/65 + 11*y**4/78 - 2*y**3/13 - 193*y. Factor q(z).
-2*z*(z - 1)**2*(z + 6)/13
Factor -38*f**2 + 2/3*f**4 + 58/3*f + 0 + 18*f**3.
2*f*(f - 1)**2*(f + 29)/3
Let v = 16 - 13. Let x be ((-1)/(-3))/(v/27). Factor -3*m + 6 + 3*m**2 - m**3 - 9 + 4*m**x.
3*(m - 1)*(m + 1)**2
Let h(z) = -34*z**2 - 1733*z + 53. Let u be h(-51). Let 0*g - 1/4*g**u + 1/4 = 0. Calculate g.
-1, 1
Let y = -27 + 33. Determine q so that -y*q**5 + 23*q**4 + 7*q**4 + 16*q**2 - 40*q**3 - 2*q**4 = 0.
0, 2/3, 2
Let k(w) = 3*w**5 + 26*w**4 - 3*w**3 - 9*w**2 - 34*w. Let p(z) = -z**5 - 9*z**4 + z**3 + 3*z**2 + 12*z. Let x(q) = 6*k(q) + 17*p(q). Solve x(d) = 0.
-3, -1, 0, 1
Solve 16/5*r**2 + 6/5*r**4 + 2/5 - 14/5*r**3 - 9/5*r - 1/5*r**5 = 0 for r.
1, 2
Factor 2/11*a + 4/11 - 2/11*a**2.
-2*(a - 2)*(a + 1)/11
Let r be ((-14)/(-105))/((-5)/((-5)/2)). Let i = r + 4/15. Suppose -i*j + 0 + 1/3*j**2 = 0. What is j?
0, 1
Let k = 30 + -17. Factor 20*q**3 - k*q**3 + 3*q**4 + 4*q**2 - 4*q - q**4 + 0*q**4.
q*(q + 2)**2*(2*q - 1)
Let l(b) = -2*b**5 + b**4 - b**3 + 3*b**2 + b - 1. Let t(i) = 6*i**5 + 15*i**4 + 57*i**3 + 13*i**2 - 5*i + 5. Let j(v) = -5*l(v) - t(v). Factor j(d).
4*d**2*(d - 7)*(d + 1)**2
Let j(u) be the third derivative of u**5/105 + 3*u**4/7 + 64*u**3/21 - 18*u**2 + 15*u. Determine a so that j(a) = 0.
-16, -2
Let w(r) be the second derivative of -r**4/12 - 19*r**3/3 + 2*r + 110. Factor w(h).
-h*(h + 38)
Let n be 95/200 + 1/8. Let 0 + 0*b**2 + 0*b + 0*b**3 - 3/5*b**5 + n*b**4 = 0. Calculate b.
0, 1
Let k(r) be the first derivative of 0*r - 12 + 1/9*r**4 - 2/9*r**2 + 14/27*r**3 - 14/45*r**5. Suppose k(o) = 0. Calculate o.
-1, 0, 2/7, 1
Let s(j) be the third derivative of 0*j + 0*j**5 + 0*j**4 - 1/420*j**7 + 0*j**3 + 9*j**2 + 1/120*j**6 + 0. Factor s(g).
-g**3*(g - 2)/2
Let t(c) be the third derivative of c**5/60 + 23*c**4/24 - 4*c**3 - 62*c**2 - 3. Factor t(h).
(h - 1)*(h + 24)
Let j = 158 - 155. Let b(i) be the second derivative of 5*i + 1/21*i**4 + 0*i**j + 0*i**5 - 1/7*i**2 - 1/105*i**6 + 0. Let b(n) = 0. Calculate n.
-1, 1
Let o(r) be the first derivative of -r**6/3 - 4*r**5/5 + r**4/2 + 4*r**3/3 + 92. Solve o(h) = 0 for h.
-2, -1, 0, 1
Let f(y) = -3*y + 146. Let p be f(47). Let w(i) be the first derivative of -2 + 3/4*i**4 + 0*i**3 - 1/2*i**2 + 0*i - 2/5*i**p. Factor w(m).
-m*(m - 1)**2*(2*m + 1)
Factor -11 + 18*r + r**2 + 10 + 0*r**4 - 12*r**2 - 7 + r**4.
(r - 2)*(r - 1)**2*(r + 4)
Let a(q) be the first derivative of -q**6/36 - 7*q**5/30 - q**4/4 + 92. Determine c, given that a(c) = 0.
-6, -1, 0
Let d(g) be the second derivative of -g**7/14 + 9*g**6/50 - 3*g**5/25 - 17*g. Factor d(x).
-3*x**3*(x - 1)*(5*x - 4)/5
Suppose 7*y - 20*y = 0. Let t(u) be the third derivative of 1/1260*u**7 + 0*u**3 - 1/360*u**5 + 2*u**2 + 0*u**6 + y*u + 0 + 0*u**4. Solve t(z) = 0.
-1, 0, 1
Suppose 12 = 6*x - 12. Let c(w) be the second derivative of 1/3*w**4 + 2*w**2 - 4/3*w**3 + 0 + x*w. What is f in c(f) = 0?
1
Let b(n) be the third derivative of n**7/1470 - n**6/168 - n**5/60 + 5*n**4/168 + n**3/7 + 301*n**2. Factor b(x).
(x - 6)*(x - 1)*(x + 1)**2/7
Let l = -267 - -272. Let q(s) be the second derivative of 0*s**2 + l*s + 1/15*s**6 + 0*s**3 + 1/10*s**5 - 1/6*s**4 - 1/21*s**7 + 0. Factor q(x).
-2*x**2*(x - 1)**2*(x + 1)
Let a = 4500 + -4500. Find c such that 2/3*c + 4/9*c**2 - 2/9*c**3 + a = 0.
-1, 0, 3
Suppose -42 + 81 = -75*k + 39. Factor k*v + 0 + 1/9*v**3 - 1/9*v**2.
v**2*(v - 1)/9
Let r(a) be the second derivative of a**5/120 + 7*a**4/72 + 5*a**3/18 + 4*a - 1. Solve r(d) = 0 for d.
-5, -2, 0
Factor -9/7*s**3 + 6/7*s**4 + 3/7*s**5 - 12/7*s**2 + 12/7*s + 0.
3*s*(s - 1)**2*(s + 2)**2/7
Let u(y) be the third derivative of -y**7/105 - 47*y**6/40 - 2377*y**5/60 + 159*y**4 - 216*y**3 - 296*y**2. Let u(r) = 0. Calculate r.
-36, 1/2, 1
Let f = 104 - 99. Suppose 4*p + 2 = -5*l + 6, f*p = -20. Suppose 0 + 2/5*z**l - 2*z**3 + 16/5*z**2 - 8/5*z = 0. What is z?
0, 1, 2
Let w = -51 - -72. Let z = -18 + w. Suppose 0 - 2*d**z + 0*d + 4/3*d**2 = 0. What is d?
0, 2/3
Let s(c) be the third derivative of -c**8/80640 + c**7/3360 - c**6/360 - 3*c**5/10 - 2*c**2 + 9. Let o(g) be the third derivative of s(g). Factor o(r).
-(r - 4)*(r - 2)/4
Factor 0*h + 1/2*h**3 + 1/4*h**2 + 1/4*h**4 + 0.
h**2*(h + 1)**2/4
Let s(w) be the first derivative of -w**3/4 - 15*w**2/8 - 20. Suppose s(i) = 0. Calculate i.
-5, 0
Let o(w) be the second derivative of w**6/15 - 2*w**5/5 - w**4/2 + 10*w**3/3 + 8*w**2 - 66*w. Factor o(f).
2*(f - 4)*(f - 2)*(f + 1)**2
Let k be (243/63 + -4)/((-2)/16). Suppose 2/7*c**3 - 4/7 - k*c - 3/7*c**2 + 1/7*c**4 = 0. Calculate c.
-2, -1, 2
Let l = -45/44 + 371/352. Let s(j) be the first derivative of -1/16*j**2 - 8 + 0*j + l*j**4 - 1/10*j**5 + 1/6*j**3. Factor s(a).
-a*(a - 1)*(a + 1)*(4*a - 1)/8
Let x(z) = -8*z**3 + 51*z**2 + 51*z + 17. Let o(m) be the first derivative of -m**3/3 + m**2/2 - m + 24. Let p(b) = 3*o(b) + x(b). Factor p(v).
-2*(v - 7)*(2*v + 1)**2
Factor 14/9*c - 20/9 - 2/9*c**2.
-2*(c - 5)*(c - 2)/9
Let u be 1 + 5 + 184/(-36). What is d in -16/9*d**2 + 10/3*d**3 - 2/3*d - u*d**4 + 0 = 0?
-1/4, 0, 1, 3
Let b(x) be the first derivative of -2/9*x**3 + x**2 - 1 - 1/18*x**4 - 11*x. Let z(o) be the first derivative of b(o). Determine l, given that z(l) = 0.
-3, 1
Let f(g) be the second derivative of -g**6/540 - g**5/270 + 3*g**2/2 - 14*g. Let n(j) be the first derivative of f(j). Factor n(a).
-2*a**2*(a + 1)/9
Let h(g) be the first derivative of -g**3/2 + 42*g**2 - 1176*g - 130. Determine p so that h(p) = 0.
28
Let o(b) = b**3 - 9*b**2 - 11*b + 10. Let l be o(10). Factor 7*x + 6*x**2 + 2*x**3 + 4*x + 2 - 5*x + l.
2*(x + 1)**3
Let s(b) be the first derivative of -b**4/34 - 18*b**3/17 - 195*b**2/17 - 338*b/17 + 28. Solve s(f) = 0 for f.
-13, -1
Suppose -1/6*a**4 + 0*a**3 - 2/3 + 5/6*a**2 + 0*a = 0. Calculate a.
-2, -1, 1, 2
Find p such that 271*p**3 + 6*p - 28*p**5 + 300*p**2 - 13*p + 63*p + 133*p**3 + 132*p**4 = 0.
-1, -2/7, 0, 7
Let l(y) be the first derivative of 1/8*y**4 + 0*y - 5 + 0*y**5 - 1/2*y**2 + 0*y**3 - 1/40*y**6. Let h(f) be the second derivative of l(f). Factor h(i).
-3*i*(i - 1)*(i + 1)
Suppose -3*f**4 + f - f + 199*f**2 - 6*f**3 - 202*f**2 = 0. Calculate f.
-1, 0
Let n(t) be the third derivative of 41*t**4 + 14*t**2 + 0*t + 0 + 16*t**3 + 273/5*t**5 + 539/20*t**6 - 49/10*t**7. Factor n(d).
-3*(d - 4)*(7*d + 2)**3
Solve -9*z**2 + 48 - 70*z**2 - 3*z**4 + 6*z - z + 34*z**2 + 19*z - 24*z**3 = 0 for z.
-4, -1, 1
Let h(w) be the first derivative of 9*w**7/1960 + w**6/140 + w**5/280 - w**3/3 + 19. Let c(f) be the third derivative of h(f). Let c(l) = 0. Calculate l.
-1/3, 0
Let c(s) be the first derivative of -s**6/6 - 3*s**5/5 - s**4/2 + 220. Solve c(a) = 0 for a.
-2, -1, 0
Suppose 0 = -0*g + 3*g - 3*h - 12, 3*g = 4*h + 10. Let x(u) = -12 + u**2 - g*u - 2*u - 4*u. Let o(c) = -c**2. Let a(f) = -4*o(f) - x(f). Solve a(z) = 0.
-2
Let m(j) = -4*j - 33. Let t be m(-10). Determine b so that -20*b + 5*b - 2*b**2 + t*b = 0.
-4, 0
Let a(c) be the first derivative of -1/3*c**4 - 4/3*c + 8/9*c**3 - 4/15*c**5 + 1/9*c**6 + 1/3*c**2 - 13. Find t such that a(t) = 0.
-1, 1, 2
Solve -10 + 13 + 0 - 2*u**2 - 34*u + 33 = 0.
-18, 1
Let w(c) be the second derivative of -c**5/10 + 5*c**4/3 - 25*c**3/3 + 2*c - 39. Factor w(z).
-2*z*(z - 5)**2
