 3)**2/7
Find v, given that 3/5*v**4 + 336/5*v + 48/5*v**3 + 147/5 + 234/5*v**2 = 0.
-7, -1
Let z = 2743/83190 + 1/2773. Let j(m) be the third derivative of z*m**4 + 0*m - 1/15*m**3 + 0 - 1/150*m**5 - 8*m**2. Factor j(w).
-2*(w - 1)**2/5
Let c(n) be the third derivative of n**8/448 + n**7/144 - n**6/72 - n**5/4 - 13*n**2. Let k(f) be the third derivative of c(f). Solve k(r) = 0.
-1, 2/9
Let z(y) = -3*y**3 + 29*y**2 + 24*y - 8. Let x(h) = h**3 - 10*h**2 - 8*h + 3. Let a(s) = -8*x(s) - 3*z(s). Suppose a(k) = 0. What is k?
-1, 0, 8
Let w(q) be the first derivative of q**6/1440 - q**4/96 - 11*q**3/3 + 10. Let d(z) be the third derivative of w(z). Let d(f) = 0. What is f?
-1, 1
Suppose 3*r + 57 = -2*a, 3*a - 2*a + r = -27. Let t be 1*4*-6*a/63. Find c, given that -t*c**4 - 16/7*c**5 + 52/7*c**2 + 16/7 - 52/7*c**3 + 64/7*c = 0.
-2, -1/2, 1
Let l(c) be the second derivative of -15*c**7/56 + 191*c**6/40 - 897*c**5/80 + 145*c**4/16 - 11*c**3/4 - 1068*c. Solve l(u) = 0 for u.
0, 1/3, 2/5, 1, 11
Let m(j) = -5*j**2 + j - 3. Suppose 5 = 2*o - o - 2*z, -o - 19 = 4*z. Let i(l) = -11*l**2 + l - 7. Let w(v) = o*i(v) + 7*m(v). Factor w(h).
-2*h*(h - 2)
Let l(n) = -n**2 + 25*n - 76. Let w be l(20). Suppose -2*u = h - 4*u - 12, 5*h - u = w. Factor 0*o**3 - 4/9*o**2 + 1/3*o**h + 0*o + 1/9*o**5 + 0.
o**2*(o - 1)*(o + 2)**2/9
Factor -12 - 85*u + 29*u + 4*u + 2*u**2 + 67 + 41.
2*(u - 24)*(u - 2)
Let j(z) = -z**3 - 14*z**2 + z + 13. Let g be j(-14). Let k = g - -3. Factor 2*a**4 - 2*a**5 + a**2 + a**2 + 2*a**3 - 4*a**k + 0*a**5.
-2*a**2*(a - 1)**2*(a + 1)
Let o = -37 + 38. Let v(t) = 5*t**3 - 15*t**2 + 7*t + 3. Let r(h) = h**3 - 1. Let f(d) = o*v(d) + 4*r(d). Let f(w) = 0. Calculate w.
1/3, 1
Suppose f = -5, 4*f + 140 - 121 = -o. Factor o + 5/4*t + 1/4*t**2.
(t + 1)*(t + 4)/4
Factor 0 - 35/2*z - 47/2*z**2 - 1/2*z**4 - 13/2*z**3.
-z*(z + 1)*(z + 5)*(z + 7)/2
Let g(j) be the third derivative of j**6/2700 - j**5/450 - 2*j**4/45 + 2*j**3/3 + 23*j**2. Let n(x) be the first derivative of g(x). Let n(a) = 0. Calculate a.
-2, 4
Let h(s) be the third derivative of -s**7/7560 - s**6/720 - s**5/180 + 5*s**4/24 - 9*s**2. Let o(p) be the second derivative of h(p). Factor o(f).
-(f + 1)*(f + 2)/3
Let j(z) be the third derivative of 0*z**5 + 0*z - 3*z**2 + 1/108*z**4 + 0*z**3 - 1/540*z**6 + 0. Determine b so that j(b) = 0.
-1, 0, 1
Let h(d) be the third derivative of -d**6/100 + d**5/75 + 5*d**4/4 - 10*d**3/3 - 462*d**2. Factor h(b).
-2*(b - 5)*(b + 5)*(3*b - 2)/5
Let z be 5/(-10)*26*-2. Determine u, given that -12*u**3 - z*u + 53*u + 3*u**4 - 31*u + u**4 + 12*u**2 = 0.
0, 1
Let m(z) be the first derivative of -16 + 7/4*z**6 - 39/5*z**5 + 3*z**3 + 0*z**2 + 39/8*z**4 + 0*z. Suppose m(n) = 0. What is n?
-2/7, 0, 1, 3
Let c = -636 + 639. Factor 1/5*h**4 - 1/5*h**2 - 1/5*h + 1/5*h**c + 0.
h*(h - 1)*(h + 1)**2/5
Suppose 0 = -13*s + 551 + 1906. Find g, given that -300*g - 45 - s*g**2 - 234*g**2 - 156*g**2 + 79*g**2 = 0.
-3/10
Let j(y) be the first derivative of -y**6/12 - 3*y**5/5 - 3*y**4/4 + 8*y**3/3 + 15*y**2/4 - 9*y + 46. Solve j(t) = 0.
-3, -2, 1
Let f(q) be the first derivative of 5*q + 6 - q**5 + 0*q**3 + 5/2*q**4 - 5*q**2. Determine c, given that f(c) = 0.
-1, 1
Suppose 4*y - 2*k = 14, 3*y + 7 = -2*k + 7*k. Factor -y*a - 38*a**5 - 30*a**2 + 26*a**5 - 99*a**3 + 3*a - 36*a**5 - 120*a**4.
-3*a*(a + 1)**2*(4*a + 1)**2
Factor 19*g**2 + 15*g**4 - 36*g**2 + 2*g**2 - 5*g + 5*g**3.
5*g*(g - 1)*(g + 1)*(3*g + 1)
Suppose -3*p - 5*x = -37, 2*p + 4*x = 11 + 17. Let k(s) be the first derivative of 0*s**2 + 4/3*s**3 - p*s - 6. What is t in k(t) = 0?
-1, 1
Let g = -58/411 + 1228/2877. Factor g*c**4 - 2/7*c**2 - 2/7*c**5 + 0*c + 0 + 2/7*c**3.
-2*c**2*(c - 1)**2*(c + 1)/7
Let a be 2 - (6 - 6) - 0/(-1). Suppose 12*s - 11*s - a = 0. Let 4/3*t - 2/3 - 2/3*t**s = 0. What is t?
1
Factor 118/3*v - 26/3 - 191/6*v**2 + 7/6*v**3.
(v - 26)*(v - 1)*(7*v - 2)/6
Let f(a) be the second derivative of a**7/1050 - a**6/600 + 11*a**2/2 - 5*a. Let w(d) be the first derivative of f(d). Factor w(g).
g**3*(g - 1)/5
Let m(r) be the second derivative of r**4/48 - 7*r**3/12 + 13*r**2/8 - 242*r. Factor m(h).
(h - 13)*(h - 1)/4
Let w(l) be the third derivative of 5*l**2 - 1/20*l**5 + 1/112*l**8 + 0 + 0*l**3 + 0*l - 1/40*l**6 + 1/70*l**7 + 0*l**4. Let w(s) = 0. What is s?
-1, 0, 1
Let u = 12 + -10. Factor -32*x**u + 36*x - 10 + 6 + 0*x**2.
-4*(x - 1)*(8*x - 1)
Let b(x) be the second derivative of -2*x**7/315 - 7*x**6/360 + x**5/90 + 13*x**2/2 - 16*x. Let z(f) be the first derivative of b(f). Factor z(p).
-p**2*(p + 2)*(4*p - 1)/3
Let k(w) = w**4 + w**3 - w**2 + w. Let j(f) = f**5 + 12*f**4 + 19*f**3 - 3*f**2 - 18*f - 9. Let s(r) = -2*j(r) + 2*k(r). Solve s(h) = 0 for h.
-9, -1, 1
Let r be (344/(-32) + 11)*(-1 + 3). Find o, given that o + 3/2 - r*o**2 = 0.
-1, 3
Factor -48*n**2 + 0 + 2/3*n**3 + 0*n.
2*n**2*(n - 72)/3
Factor 1/3*c**3 + 14/3*c**2 - 56/3 + 41/3*c.
(c - 1)*(c + 7)*(c + 8)/3
Determine q so that -4*q**4 + 24*q + 62*q**2 + 62*q**2 - 4 + 4 - 32*q**4 + 64*q**3 = 0.
-1, -2/9, 0, 3
Factor 2/5*d**5 + 64/5*d**2 - 22/5*d - 12*d**3 + 16/5*d**4 + 0.
2*d*(d - 1)**3*(d + 11)/5
Let d(z) be the third derivative of z**7/20 - 83*z**6/240 + 13*z**5/20 + z**4/4 - 2*z**3/3 + z**2 + 13. What is f in d(f) = 0?
-1/3, 2/7, 2
Let q be 84/(-92) + 1 + (-544)/(-11730). Factor -10/3 + 4/3*k - q*k**2.
-2*(k - 5)**2/15
Let x be (1*-1)/(3 + -4). Suppose -3*k + 4 = x. Factor 9*m - 2 - 9*m**2 + 3*m**3 + k - 2.
3*(m - 1)**3
Factor 13*f**5 + 2*f + 4*f**2 - 8*f**4 + 4*f**4 - 15*f**5.
-2*f*(f - 1)*(f + 1)**3
Let d(k) be the third derivative of k**5/150 + 23*k**4/15 + 2116*k**3/15 + k**2 - 14*k. Suppose d(v) = 0. Calculate v.
-46
Let o(a) be the third derivative of a**10/10080 + a**9/1008 + a**8/320 + a**7/280 + a**4 - 2*a**2. Let b(q) be the second derivative of o(q). Factor b(u).
3*u**2*(u + 1)**2*(u + 3)
Suppose 0 = 4*f - 52 - 268. Suppose -9*g + f - 62 = 0. Factor 2/13*z**g - 4/13*z + 2/13.
2*(z - 1)**2/13
Let m be (-1)/3 + 6 + (-3)/1. Let z be 30/(-18) + 4 + 1. Factor z*d**2 + 0 + m*d**3 + 4/3*d + 2/3*d**4.
2*d*(d + 1)**2*(d + 2)/3
Let b(a) = -6*a**2 - 89*a - 216. Let p(i) = -i**2 - 15*i - 36. Suppose -w = 5*l + 32, -7*w + 16 = -4*l - 3*w. Let c(u) = l*b(u) + 34*p(u). Solve c(g) = 0.
-6
Let i(z) be the first derivative of -z**6/240 + z**5/15 - 7*z**4/48 + 39*z**2/2 + 13. Let k(q) be the second derivative of i(q). Factor k(r).
-r*(r - 7)*(r - 1)/2
Let a(p) be the third derivative of 0*p + p**2 - 5/3*p**3 - 1/150*p**5 + 0 + 1/6*p**4. Factor a(n).
-2*(n - 5)**2/5
Let d(z) = 68*z**2. Let q be d(1). Let -15*o + 62*o**2 + q*o**2 - 125*o**2 = 0. Calculate o.
0, 3
Let q(b) be the third derivative of -b**6/540 + 2*b**5/45 - 4*b**4/9 - 4*b**3/3 - 6*b**2. Let u(p) be the first derivative of q(p). Find y such that u(y) = 0.
4
Let t be 10/(-4)*(3/(-4))/(225/12). Solve 0*d - 1/10*d**2 + t = 0.
-1, 1
What is w in 0 - 3/7*w**5 - 51/7*w**3 - 57/7*w**4 + 54/7*w + 57/7*w**2 = 0?
-18, -1, 0, 1
Suppose -39 = 3*f - 0*f. Let t = f - -17. Factor -3*m**2 + t*m**2 - m**2 - m**2.
-m**2
Factor -32*f**3 + 18*f**3 - 36*f**2 - 35*f + 10*f**3 - 61*f - 64.
-4*(f + 1)*(f + 4)**2
Let z be (-3)/(-5) - 106/10. Let i = -5 - z. Solve 3*g - 2*g - 10*g**3 + i*g**2 + 14*g**3 = 0 for g.
-1, -1/4, 0
Factor 183/2*w**2 + 0*w - 3/2*w**3 + 0.
-3*w**2*(w - 61)/2
Let w(y) be the third derivative of 0*y**3 + 1/560*y**7 + 1/480*y**5 - 1/320*y**6 + 0*y + 0*y**4 - 8*y**2 + 0 - 1/2688*y**8. Factor w(g).
-g**2*(g - 1)**3/8
Let q(m) be the first derivative of 1/40*m**5 - 3/32*m**4 + 0*m**2 - 2*m**3 + 0*m - 1/480*m**6 + 9. Let t(a) be the third derivative of q(a). Factor t(p).
-3*(p - 3)*(p - 1)/4
Let m be (-2028)/858 + 2*2. Factor 4*x**2 - 48/11*x - 16/11*x**3 + 2/11*x**4 + m.
2*(x - 3)**2*(x - 1)**2/11
Let u = 47 - 48. Let h(w) = -9*w - 4. Let f be h(u). Find g such that -16/3*g**f + 8/3*g**2 - 8/3*g**4 + 1/3*g + 5*g**3 + 0 = 0.
-1, -1/4, 0, 1
Let l(i) be the first derivative of i**3 + 102*i**2 + 201*i + 679. What is v in l(v) = 0?
-67, -1
Let u(a) = 14*a**2 + 22*a + 2. Let t(i) = 5*i**2 - i + 1. Let n(l) = -2*t(l) + u(l). Factor n(k).
4*k*(k + 6)
Let f(r) be the first derivative of 0*r**2 + 7 + 1/4*r**3 - 1/24*r**4 - 5*r. Let c(b) be the first derivative of f(b). Find o such that c(o) = 0.
0, 3
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