f 1/6*x**3 + 1/6*x**5 + 0*x**2 - 1/6*x**4 + 0 - 2/45*x**6 - 7*x. Let i(h) be the second derivative of m(h). Solve i(p) = 0.
1/4, 1
Let b(o) be the third derivative of o**5/12 - 25*o**4/8 - 45*o**3 - 14*o**2 + 2*o. Suppose b(f) = 0. What is f?
-3, 18
Let x = 441614/15 - 29426. Factor -128/15 + 26/15*p**3 - 8*p**2 - 2/15*p**4 + x*p.
-2*(p - 4)**3*(p - 1)/15
Let f(y) be the third derivative of y**8/224 + 22*y**7/315 + 41*y**6/144 - 5*y**5/36 - y**2 + 41*y. Factor f(z).
z**2*(z + 5)**2*(9*z - 2)/6
Let l(k) be the first derivative of k**6/3 + 5*k**5 + 111*k**4/4 + 194*k**3/3 + 32*k**2 - 96*k - 25. Determine i so that l(i) = 0.
-4, -3, -2, 1/2
Let p be ((-5301)/18)/(-19) + -15. Solve p*d**2 - 3 - 1/2*d = 0.
-2, 3
Let r(d) be the third derivative of -d**6/720 + d**5/90 + 2*d**4/9 - 595*d**2. Find c such that r(c) = 0.
-4, 0, 8
Suppose 2*w - 42 = -z - 34, 4*w + z - 12 = 0. Let -3*r + 1/3*r**w + 8/3 = 0. Calculate r.
1, 8
Find g such that -10/7 - 16/7*g**4 + 73/7*g - 9/7*g**5 - 150/7*g**2 + 16*g**3 = 0.
-5, 2/9, 1
Find w, given that -2/11*w**2 + 24/11 + 16/11*w - 2/11*w**3 = 0.
-2, 3
Factor -14*l - 153 - 3*l**2 - 34*l + 93 - 132.
-3*(l + 8)**2
Suppose -18*p - 642 = -48. Let q be (6/(-4))/(p/22)*0. Factor 3/4*u**3 + 0*u - 7/4*u**4 + q + u**5 + 0*u**2.
u**3*(u - 1)*(4*u - 3)/4
Let y = -3789/77 - -546/11. Let -15/7*m**2 + 9/7*m - y*m**4 - 2/7 + 11/7*m**3 = 0. Calculate m.
2/3, 1
Let c be (-147)/(-28) - (-2)/(-8). Let a(z) = -16*z**3 - 12*z**2 + 2*z - 2. Let i(x) = 33*x**3 + 25*x**2 - 3*x + 5. Let m(v) = c*a(v) + 2*i(v). Factor m(j).
-2*j*(j + 1)*(7*j - 2)
Suppose -26 - 4 = -2*g + k, 5*k + 85 = 5*g. Determine u so that 3*u**5 - 3*u**3 + g*u**5 - 13*u**5 = 0.
-1, 0, 1
Let s(j) be the third derivative of j**7/315 + j**6/45 + j**5/30 - 17*j**2 - 3*j. Suppose s(m) = 0. What is m?
-3, -1, 0
Let t = 1059 + -1059. Let n(y) be the second derivative of 0 + t*y**2 - 1/6*y**4 + 0*y**3 + 3*y. Factor n(b).
-2*b**2
Suppose 12*t - 25*t - 19*t = -64. Solve -4/3*y + 0 + 1/3*y**4 + 0*y**t + y**3 = 0 for y.
-2, 0, 1
Let a(j) = -j**4 - 9*j**3 + 23*j + 8. Let y(h) = h**4 + 10*h**3 + 2*h**2 - 22*h - 9. Let p(b) = -6*a(b) - 7*y(b). Let p(l) = 0. Calculate l.
-15, -1, 1
Suppose -24 + 4*g**4 - g**4 - 10*g**4 + 4*g + 3*g**4 - 8*g + 28*g**2 + 4*g**3 = 0. Calculate g.
-2, -1, 1, 3
Let j be 42/(-49)*(28/(-20) + 0). Factor -16/5*t**2 + j - 2*t.
-2*(t + 1)*(8*t - 3)/5
Factor 2/9*y**2 + 20/3*y + 50.
2*(y + 15)**2/9
Factor 1/5*w**2 + 1/5*w + 0 - 1/5*w**4 - 1/5*w**3.
-w*(w - 1)*(w + 1)**2/5
Let d be (10 - 10)/(-3 + 7 - 1). Let j(a) be the third derivative of 1/210*a**5 + 0*a + 4*a**2 + 1/840*a**6 + 0*a**3 + d + 1/168*a**4. Factor j(n).
n*(n + 1)**2/7
Let a(c) be the first derivative of 0*c**3 - 3/4*c**4 - 1/2*c**6 + 6/5*c**5 + 0*c + 1 + 0*c**2. Factor a(p).
-3*p**3*(p - 1)**2
Let z(y) be the first derivative of -y**4/2 - 56*y**3/3 - 147. Let z(q) = 0. Calculate q.
-28, 0
Let z be (-8)/(16 + -8)*4/(-2). Let b(t) be the second derivative of 0 - 1/6*t**4 - 1/3*t**3 + 2*t + z*t**2. Factor b(u).
-2*(u - 1)*(u + 2)
Let n(l) be the second derivative of -5*l**4/12 + 25*l**3/6 + 15*l**2 + 2*l + 2. Solve n(d) = 0 for d.
-1, 6
Let s = 26 - 19. Factor -3*i**3 + s*i**3 + 0*i**3 + 4*i**4.
4*i**3*(i + 1)
Suppose 74 = -5*p + 5*b + 69, -3*p = 4*b - 18. Factor 3/5*s**3 + 0 + 4/5*s**p + 1/5*s.
s*(s + 1)*(3*s + 1)/5
Let o(a) = a**3 - 25*a**2 + 24*a + 5. Let j be o(24). Suppose k = d, 0*d + 2*d = j*k - 12. Factor 2/3*p**k - 2/3 + 4/3*p - 4/3*p**3 + 0*p**2.
2*(p - 1)**3*(p + 1)/3
Let x be (3 + -2)*(2 + -1) - 111. Let a = -548/5 - x. Factor -4/5*c + a*c**2 + 0.
2*c*(c - 2)/5
Let r(o) be the second derivative of 3*o**5/40 + 2*o**4 - 57*o**3/4 - 113*o. Let r(x) = 0. Calculate x.
-19, 0, 3
Let w(p) be the second derivative of p**5/120 - p**4/24 - p**3/4 + 3*p**2/2 - 3*p. Let u(m) be the first derivative of w(m). Solve u(f) = 0.
-1, 3
Let g be 38/48 - (-20 + (-2415)/(-120)). Let k = -154/3 + 52. Suppose g*z**2 - 2/3*z**4 - k*z**3 + 0 + 2/3*z = 0. What is z?
-1, 0, 1
Let h(w) = 22*w - 1. Let z be h(-1). Let r be 4/12 + z/(-3). Factor -4 + 27*l**3 + 7*l - 25*l**3 - r*l**2 + 3*l.
2*(l - 2)*(l - 1)**2
Factor 232/15*k + 448/15*k**2 + 32/15 + 98/15*k**3.
2*(k + 4)*(7*k + 2)**2/15
Factor -7/3*m - 3*m**2 + 2/3.
-(m + 1)*(9*m - 2)/3
Let v(z) be the third derivative of -z**5/210 + 19*z**4/84 + 20*z**3/21 + 568*z**2. Suppose v(a) = 0. What is a?
-1, 20
Factor 5/6*b**2 - 5/6 - 1/6*b**3 + 1/6*b.
-(b - 5)*(b - 1)*(b + 1)/6
Let s be 8/(-24) + (-39)/(-9). Suppose -13*v**s - 2*v - 4*v**5 + 0*v**5 - 6*v + 12*v**3 - 4*v**2 + 17*v**4 = 0. Calculate v.
-1, 0, 1, 2
Let b(k) be the third derivative of -1/14*k**4 + 1/280*k**6 + 18*k**2 + 0*k + 0*k**3 + 3/140*k**5 + 0. Solve b(f) = 0.
-4, 0, 1
Let y(r) = -7*r**2 - 2*r + 1. Let p be y(1). Let q(z) = -z - 3. Let w be q(p). Factor 2*b**4 + 0*b**4 - 6*b**2 + 2*b + 3*b**5 - w*b + 4*b**4.
3*b*(b - 1)*(b + 1)**3
Let u be 4 - (236/8 + 2). Let g = u + 29. Let -3/2*n**3 + 0 - 1/2*n - 1/2*n**4 - g*n**2 = 0. What is n?
-1, 0
Let i(h) be the second derivative of -13/18*h**4 + 21*h + 0*h**2 + 0 - 4/9*h**3 - 1/10*h**5. Factor i(p).
-2*p*(p + 4)*(3*p + 1)/3
Let h(b) be the first derivative of 1250*b**3/3 - 100*b**2 + 8*b - 25. Determine v, given that h(v) = 0.
2/25
Let v = 2857 - 17141/6. Let 1/6*a + v*a**2 + 0 = 0. What is a?
-1, 0
Solve -b**5 - 5*b**5 + 11*b**2 + 12*b**3 + 13*b**2 + 3*b**5 - 587*b**4 + 581*b**4 = 0 for b.
-2, 0, 2
Suppose 5 + 4*u**3 - 8*u**3 + 5 + 4*u - 4*u**4 + 12*u**2 - 18 = 0. Calculate u.
-2, -1, 1
Factor -1/8*w**2 - 5/8*w + 0.
-w*(w + 5)/8
Suppose -218*d + 215*d = -6. What is a in 0 + 2*a**3 + 0*a + 3/2*a**4 + 2/3*a**d = 0?
-2/3, 0
Let h(u) be the second derivative of u**5/4 - 5*u**4/12 - 10*u**3/3 + 10*u**2 - 23*u - 1. Factor h(i).
5*(i - 2)*(i - 1)*(i + 2)
Let d(h) be the first derivative of -h**6/12 + 2*h**5/5 - h**4/2 - h**3/3 + 5*h**2/4 - h - 63. Factor d(q).
-(q - 2)*(q - 1)**3*(q + 1)/2
Let i be ((-56)/(-42) - 3/9) + 3. Let s(q) be the third derivative of 2*q**2 - 1/12*q**i + 0 + 0*q + 0*q**3 - 1/120*q**6 - 1/20*q**5. Solve s(n) = 0.
-2, -1, 0
Let t(h) be the first derivative of -h**5/180 - h**4/36 + 6*h**2 + 3. Let x(s) be the second derivative of t(s). Factor x(p).
-p*(p + 2)/3
Suppose -3*h + 14*h + 374 = 0. Let j = h + 38. Determine d so that -3/8*d - 3/8*d**j + 3/8*d**2 + 0 + 3/8*d**3 = 0.
-1, 0, 1
Let u(y) = 2*y**3 - 9*y**2 - 5*y. Let r(j) = -6*j**3 + 28*j**2 + 14*j. Let n(c) = -6*r(c) - 20*u(c). Determine t, given that n(t) = 0.
-1, 0, 4
Let q(h) be the second derivative of h + 0 + 1/105*h**6 + 0*h**2 + 2/21*h**4 - 2/35*h**5 + 0*h**3. Find p such that q(p) = 0.
0, 2
Let t(s) be the first derivative of 5 + 2/13*s**5 + 0*s**2 - 1/2*s**4 - 4/13*s**3 + 0*s. Factor t(x).
2*x**2*(x - 3)*(5*x + 2)/13
Factor -12 - 4*f**3 - 14*f**3 + 17*f**3 - 4*f + 7*f**2.
-(f - 6)*(f - 2)*(f + 1)
Suppose 0 = -705*n + 668*n + 111. Let -2/7*h**5 - 38/7*h**4 + 162/7 - 28*h**n + 198/7*h - 124/7*h**2 = 0. What is h?
-9, -1, 1
Let f(v) = v**2 - v + 2. Let i(u) = -24*u**2 - 408*u - 496. Let d(m) = -28*f(m) - i(m). Determine o, given that d(o) = 0.
-1, 110
Let f = 26 - 35. Let k = 9 + f. Let k*s + 6/11*s**3 + 4/11*s**2 + 0 + 2/11*s**4 = 0. What is s?
-2, -1, 0
What is s in 1/7*s**3 + 0 + 1/7*s**2 - 1/7*s - 1/7*s**4 = 0?
-1, 0, 1
Let l = 7 + -2. Suppose 0 = -3*c + l*h + 24, 5*h = 5*c + 10 - 40. Factor -4*f**c + 0*f + f**3 - 2*f + 7*f**3 - 2*f**5.
-2*f*(f - 1)**2*(f + 1)**2
Suppose 19 - 3 = 4*f. Let n = f + -3. Factor -7 + n - 9*s**2 + 7*s**4 - 15*s + 0 + 3*s**3 - 4*s**4.
3*(s - 2)*(s + 1)**3
Factor -152/3*w - 64/3*w**3 - 220/3*w**2 + 4/3*w**4 + 0.
4*w*(w - 19)*(w + 1)*(w + 2)/3
Let x(f) = -8*f**4 + 36*f**3 - 36*f**2 + 8*f. Let m = 63 + -57. Let r(j) = j**4 - 5*j**3 + 5*j**2 - j. Let l(n) = m*x(n) + 44*r(n). Factor l(p).
-4*p*(p - 1)*(p + 1)**2
Let c(k) be the first derivative of -7*k**5/10 - 3*k**4/2 + 4*k**3 + 4*k**2 + 23*k + 30. Let s(l) be the first derivative of c(l). Factor s(q).
-2*(q - 1)*(q + 2)*(7*q + 2)
Let w(l) = 2*l**2 + 14*l + 15. Let j be w(-6). What is o in -43*o - j*o**3 - 17 - 2 + 6*o**2 + 58*o + 1 = 0?
-2, 1, 3
Let u be (-248)/(-6)*3/((-6660)/42). Let j = 2/111 - u. Factor 4/5*i**4 + 0 + 0*i**3 - 2/5*i**5 - j*i**2 + 2/5*i.
-2*i*(i - 1)**3*(i + 1)/5
Suppose -3*h - 87 = h - 3*g, 4*