f -2/3*y + 11/6*y**4 + 1/3*y**2 - 9 + 2*y**3 + 8/15*y**5. Factor r(d).
2*(d + 1)**3*(4*d - 1)/3
Factor -1/2*a - 1/4 - 1/4*a**2.
-(a + 1)**2/4
Let u(f) be the third derivative of f**8/1512 - f**7/189 + f**6/60 - 7*f**5/270 + f**4/54 - 6*f**2 + 5*f. Solve u(v) = 0 for v.
0, 1, 2
Let v be -6 - ((-4)/(-2))/(-2). Let o be -4 - -5 - (v + 1). Let 14*w - 16*w**3 + 28*w + 16*w**4 - 8 - 4*w**o - 8*w**2 - 22*w = 0. Calculate w.
-1, 1, 2
Let y(j) = 18*j**2 - j + 1. Let a be y(1). Suppose -2*i + a = i. Factor -8*g + 22 - 22 + i*g**3 + 2*g**4 + 0*g**4.
2*g*(g - 1)*(g + 2)**2
Let d(x) be the third derivative of x**8/112 - x**7/10 + 9*x**6/20 - x**5 + x**4 - 128*x**2. Factor d(j).
3*j*(j - 2)**3*(j - 1)
Let o(s) be the third derivative of s**6/1080 + 11*s**5/540 + 35*s**4/216 + 25*s**3/54 + 283*s**2. Determine t so that o(t) = 0.
-5, -1
Let -2 + 76/3*j - 110/3*j**2 = 0. What is j?
1/11, 3/5
Let w = 9917/12174 - -38/2029. Suppose w - 25/3*j**3 + 25/6*j**4 + 25/3*j**2 - 5/6*j**5 - 25/6*j = 0. Calculate j.
1
Suppose -3*f + 4*c + 116 = 0, c + 8 = 2*f - 71. Let u be -2 - f/(-25) - -1. Factor -18/5*r**3 - 12/5*r**4 - u*r**5 - 12/5*r**2 + 0 - 3/5*r.
-3*r*(r + 1)**4/5
Solve -z + 1/2*z**4 + 0 + 3/2*z**3 - 1/2*z**2 - 1/2*z**5 = 0 for z.
-1, 0, 1, 2
Let s = -59 + -61. Let w = -120 - s. Factor 0 - 1/6*y**5 + w*y - 1/2*y**3 - 1/2*y**4 - 1/6*y**2.
-y**2*(y + 1)**3/6
Let n(m) be the second derivative of 3*m**5/20 - m**3/2 - 82*m. Factor n(d).
3*d*(d - 1)*(d + 1)
Solve 8/9*u**4 + 0*u + 0 - 50/9*u**2 + 5/9*u**3 + 1/9*u**5 = 0.
-5, 0, 2
Let k = 49 - 36. Solve -10*d**3 + 13*d**2 + 5*d - 6*d**5 + 11*d**5 - k*d**2 = 0.
-1, 0, 1
Let o(m) be the second derivative of 3*m**5/80 - 159*m**4/4 + 16854*m**3 - 3573048*m**2 + 62*m + 3. Factor o(p).
3*(p - 212)**3/4
Let g = -10 + 18. Let u be ((-3)/(-6))/(2/g). Let 5*k**3 - 4*k**3 + 0*k**3 - k - 3*k**2 + k**4 + u = 0. What is k?
-2, -1, 1
Factor 76*z - 28 - 2*z**4 + 0*z**3 - 24*z**3 + 6*z**2 + 76.
-2*(z - 2)*(z + 1)**2*(z + 12)
Let x be (6/2)/((-11)/(-605)). Let y be 3/45*-3 + 63/x. Solve 0*g**2 - 2/11*g**4 + 0*g + 0 - y*g**3 = 0 for g.
-1, 0
Let w(o) be the third derivative of -18*o**6/55 + 558*o**5/55 - 2883*o**4/22 + 29791*o**3/33 - 20*o**2. Determine l so that w(l) = 0.
31/6
Let m = -84 - -422/5. Let 12/5*w + m*w**3 + 0 - 2*w**2 = 0. Calculate w.
0, 2, 3
Let a be -5 + 7 + 2/(-4). Let g(y) be the first derivative of -2*y**3 - 3/4*y**4 - a*y**2 - 1 + 0*y. Factor g(k).
-3*k*(k + 1)**2
Let i be ((-9)/27)/((-208)/(-3)). Let v = i + 421/1040. Factor 0 - 2/5*d**4 + 2/5*d**2 + 2/5*d**3 - v*d.
-2*d*(d - 1)**2*(d + 1)/5
Let f(j) be the second derivative of -j**6/70 - 6*j**5/35 - 9*j**4/14 + 81*j**2/14 + 5*j - 10. Factor f(v).
-3*(v - 1)*(v + 3)**3/7
Let c(j) be the first derivative of 28 - 21/8*j**2 - 1/4*j**3 + 6*j. Suppose c(w) = 0. Calculate w.
-8, 1
Let z(j) be the second derivative of 3*j**8/2800 + j**7/350 + j**6/600 + 17*j**3/6 + 32*j. Let l(b) be the second derivative of z(b). Factor l(v).
3*v**2*(v + 1)*(3*v + 1)/5
Suppose -4*u + 2*t - 8 = 0, -5*u + 4 + 12 = 4*t. Let b(l) be the second derivative of l + 0*l**2 + 0 + 1/5*l**5 + l**4 + u*l**3. What is d in b(d) = 0?
-3, 0
Suppose 5*r = -4*a + 38, 4*a - 13*r + 19*r = 44. Factor -1/3 - 1/3*b**a - 2/3*b.
-(b + 1)**2/3
Let x(o) be the third derivative of o**9/3024 - o**7/504 - 11*o**4/24 - 13*o**2. Let l(i) be the second derivative of x(i). Factor l(s).
5*s**2*(s - 1)*(s + 1)
Let w(v) be the third derivative of 0*v + 0 + 1/15*v**5 - 1/2*v**4 + 0*v**3 + 8*v**2. Let w(b) = 0. What is b?
0, 3
Let w(g) = 1 + 10*g - 1 - 3 + 0*g - 2*g**2. Let s(c) = c**2 - 10*c + 4. Let q(i) = 3*s(i) + 4*w(i). Factor q(o).
-5*o*(o - 2)
Let y(m) = -6*m**2 - 13*m**3 - 2 + m - 7*m**2 - 3*m. Let b(a) = -14*a**3 - 13*a**2 - 2*a - 3. Suppose -3*k - 5 = 1. Let d(n) = k*b(n) + 3*y(n). Factor d(s).
-s*(s + 1)*(11*s + 2)
Let 8 + 36*h**3 - 10*h**2 + 46*h + 6*h + 83*h**2 + 7*h**2 = 0. What is h?
-1, -2/9
Let f(g) be the second derivative of g**3/3 - 11*g**2/2 + g + 7. Let u be f(7). Factor 4/7*r + 2/7*r**u + 0 + 6/7*r**2.
2*r*(r + 1)*(r + 2)/7
Let 216*s - 31*s + 23120 + 495*s + 5*s**2 = 0. What is s?
-68
What is t in -6/11*t**5 + 14/11*t + 16/11*t**4 - 12/11*t**2 - 4/11 - 8/11*t**3 = 0?
-1, 2/3, 1
Let f(s) = 5*s**4 - 3*s**3 - 12*s**2 - 16*s - 8. Let w(r) = 9*r**4 - 5*r**3 - 23*r**2 - 31*r - 14. Let u(h) = 7*f(h) - 4*w(h). Find c, given that u(c) = 0.
-2, 0, 3
Let z be (1/2)/(3/54). Solve -773*a - 2*a**2 + z*a**3 + 773*a = 0.
0, 2/9
Let d(x) be the second derivative of x**5/20 - 5*x**4/12 + 4*x**3/3 - 2*x**2 + 60*x. Factor d(n).
(n - 2)**2*(n - 1)
Let s = 1/330 - -29/330. Let i(u) be the third derivative of 1/55*u**5 + 0*u - s*u**4 + 0 + 8/33*u**3 - 1/660*u**6 + 8*u**2. Factor i(g).
-2*(g - 2)**3/11
Find p such that -3*p**3 - 145*p**2 + 3*p**5 + 12*p**4 - 36*p + 97*p**2 + 0*p**4 = 0.
-3, -2, -1, 0, 2
Let v(y) be the third derivative of y**7/70 + 7*y**6/10 + 27*y**5/2 + 243*y**4/2 + 729*y**3/2 + 18*y**2. Solve v(l) = 0 for l.
-9, -1
Let n(t) be the third derivative of 1/200*t**6 + 1/40*t**4 + 1/50*t**5 + 0*t**3 + 36*t**2 + 0*t + 0. Let n(a) = 0. Calculate a.
-1, 0
Let c(r) be the third derivative of r**8/4032 - r**7/1008 + 3*r**5/20 + 6*r**2. Let h(g) be the third derivative of c(g). Factor h(w).
5*w*(w - 1)
Suppose 0 = -2*z, -3*b - 9 = z - 15. Let -1/2*g**b - 25/2 + 5*g = 0. What is g?
5
Let s(g) = 9*g**4 - 2*g**3 + 10*g**2 + 114*g + 7. Let z(v) = -4*v**4 + 2*v**3 - 5*v**2 - 56*v - 3. Let x(c) = 3*s(c) + 7*z(c). Solve x(a) = 0 for a.
-2, 0, 5
Let k(u) be the second derivative of -16*u - 3/2*u**3 + 3/5*u**5 + 0*u**2 + 11/4*u**4 - 1. Factor k(v).
3*v*(v + 3)*(4*v - 1)
Let f = 2126 + -2123. Factor -3/5*y + 2/5*y**2 + 0*y**4 + 4/5*y**f - 2/5 - 1/5*y**5.
-(y - 2)*(y - 1)*(y + 1)**3/5
Let s(y) be the first derivative of -9/16*y**2 + 0*y - 1/4*y**3 - 16 - 1/32*y**4. Factor s(q).
-q*(q + 3)**2/8
Suppose -i - 12*i = 0. Let m(t) be the second derivative of -t + 1/60*t**4 + i + 0*t**2 - 1/30*t**3. Factor m(o).
o*(o - 1)/5
Let y(c) be the second derivative of 1/7*c**3 + 0*c**2 + 0 + 3/140*c**5 + 17*c + 3/28*c**4. Find j, given that y(j) = 0.
-2, -1, 0
Let w be 10/6 + 2*12/72. Let u(x) be the second derivative of 0 - 1/42*x**4 + x + 0*x**3 + 0*x**w - 1/70*x**5. Solve u(y) = 0.
-1, 0
Let q(j) = -30*j**4 + 27*j**3 + 60*j**2 + 24*j + 21. Let z(x) = -7*x**4 + 7*x**3 + 15*x**2 + 6*x + 5. Let c(k) = 5*q(k) - 21*z(k). Find a such that c(a) = 0.
-2, -1, 0
Let n(d) be the first derivative of -9 + 16/9*d**3 + d**4 - 6*d + 2/15*d**5 - 2*d**2. Factor n(h).
2*(h - 1)*(h + 1)*(h + 3)**2/3
Let g(i) = -8*i**3 + 4*i**2 + 7*i - 3. Let t be 6/(-33) + (-31)/11. Let a(v) = v**3 - 3*v**2 - 4*v + 3*v + 2*v**2 + 1. Let o(b) = t*g(b) - 12*a(b). Factor o(y).
3*(y - 1)*(2*y + 1)**2
Let q(i) be the second derivative of 10/3*i**3 + 0 + 2/21*i**7 + 2*i**2 + 10/3*i**4 + i + 2/3*i**6 + 2*i**5. Factor q(c).
4*(c + 1)**5
Let i(t) be the third derivative of 0*t + 0 + 1/200*t**6 - 21*t**2 + 0*t**4 + 3/100*t**5 - 2/5*t**3. Let i(z) = 0. What is z?
-2, 1
Let w(b) be the third derivative of b**7/525 - 17*b**5/150 - 3*b**4/5 - 4*b**3/3 + 57*b**2 + 1. Solve w(x) = 0 for x.
-2, -1, 5
Let i be (-5)/(-100)*2/((-2)/(-3)). Let v(o) be the third derivative of 0*o**3 + 0 + i*o**5 + 1/4*o**4 - 3*o**2 + 0*o + 1/40*o**6. Let v(f) = 0. Calculate f.
-2, -1, 0
Let j(v) be the third derivative of v**10/7560 + v**9/1890 - v**7/315 - v**6/180 + 9*v**4/8 - 8*v**2. Let g(n) be the second derivative of j(n). Factor g(t).
4*t*(t - 1)*(t + 1)**3
Let w(q) = -8*q**3 + 21*q**2 + 197*q. Let h(u) = -7*u**3 + 19*u**2 + 198*u. Let t(j) = 3*h(j) - 2*w(j). Solve t(n) = 0.
-5, 0, 8
Let s(k) be the second derivative of 0 + 1/2*k**3 + 0*k**2 + 9*k - 1/4*k**4. Determine x, given that s(x) = 0.
0, 1
Let u(y) be the second derivative of -y**5/105 + 6*y**3/7 + 18*y**2 + 31*y. Let k(z) be the first derivative of u(z). Factor k(m).
-4*(m - 3)*(m + 3)/7
Suppose -2*o = -0*x - 5*x - 29, -5*o = x - 5. Let q(r) be the first derivative of 2/51*r**3 - 2/17*r**o + 0*r + 5. Solve q(c) = 0 for c.
0, 2
Let h(l) be the first derivative of -1/6*l**3 - 2 - 1/10*l**5 - 3*l - 1/4*l**2 + 7/24*l**4. Let v(w) be the first derivative of h(w). Factor v(x).
-(x - 1)**2*(4*x + 1)/2
Suppose 4*k = -8, 2 = -i + 6*i + 4*k. Factor -3 - 11 - 2