third derivative of f(y). Factor v(p).
-3*p**2*(p - 2)*(p - 1)/7
Let -92/5*y - 217/5*y**2 - 29*y**3 + 21/5*y**5 - 12/5 + 13/5*y**4 = 0. Calculate y.
-2, -1, -1/3, -2/7, 3
Let m(y) = -155*y**3 - 3*y**2 - 5*y - 2. Let x be m(-1). Let g = -152 + x. Let 0 - 9/4*o**4 + 3/2*o - 3/4*o**g - 3/4*o**5 + 9/4*o**2 = 0. Calculate o.
-2, -1, 0, 1
Let j(h) = -10*h**2 + 4*h - 4*h**2 + 8 + 13*h**2 - 3. Let v(t) = 4*t**2 - 12*t - 16. Let k be (1*16)/(1/1). Let d(f) = k*j(f) + 5*v(f). Factor d(y).
4*y*(y + 1)
Let j(d) be the third derivative of 1/15*d**5 + 1/30*d**6 + 0*d - 1/84*d**8 + 0*d**4 + 14*d**2 + 0 + 0*d**3 - 2/105*d**7. Factor j(x).
-4*x**2*(x - 1)*(x + 1)**2
Let d(a) be the first derivative of a**4/4 - 20*a**3/3 - a**2/2 + 20*a - 530. Determine w, given that d(w) = 0.
-1, 1, 20
Let l(i) be the second derivative of -i**4/4 + 107*i**3/2 + 162*i**2 - 219*i - 1. Factor l(z).
-3*(z - 108)*(z + 1)
Let t(p) be the first derivative of -3*p**5/20 + 3*p**4/4 + 9*p**3/2 + 15*p**2/2 + 21*p/4 + 203. Factor t(j).
-3*(j - 7)*(j + 1)**3/4
Let y(o) be the second derivative of -o**4/30 - 2*o**3/5 - 8*o**2/5 + 111*o - 2. Suppose y(v) = 0. Calculate v.
-4, -2
What is a in -92/19*a + 0 + 2/19*a**2 = 0?
0, 46
Let x(a) be the third derivative of -a**6/60 + 3*a**5/10 - 3*a**4/2 + 206*a**2. Find l such that x(l) = 0.
0, 3, 6
Let j(k) = 11*k**4 + 62*k**3 + 29*k**2 - 138*k - 9. Let i(o) = 3*o**4 + 16*o**3 + 7*o**2 - 34*o - 2. Let x(b) = 9*i(b) - 2*j(b). Factor x(s).
5*s*(s - 1)*(s + 2)*(s + 3)
Factor 0 + 2048/3*k + 2/3*k**3 - 128/3*k**2.
2*k*(k - 32)**2/3
Factor -3*y**3 - 6*y**2 - 5*y - 1/2*y**4 - 3/2.
-(y + 1)**3*(y + 3)/2
Let i(f) be the third derivative of -1/1848*f**8 + 1/660*f**6 + 0 + 20*f**2 + 0*f + 0*f**3 + 1/1155*f**7 + 0*f**4 - 1/330*f**5. Factor i(p).
-2*p**2*(p - 1)**2*(p + 1)/11
Let q(o) be the third derivative of -3*o**8/224 - 11*o**7/560 + 13*o**6/320 + 11*o**5/160 - o**4/64 - 73*o**2. Determine a, given that q(a) = 0.
-1, 0, 1/12, 1
Let t(a) be the second derivative of -14*a - 24/5*a**6 - 42/5*a**5 - 8/7*a**7 - 9/2*a**3 - 3/2*a**2 + 0 - 8*a**4. Factor t(m).
-3*(m + 1)*(2*m + 1)**4
Let q(p) be the third derivative of p**9/12096 - p**8/2016 - p**7/144 - p**6/36 - 13*p**5/60 - 20*p**2. Let a(j) be the third derivative of q(j). Factor a(l).
5*(l - 4)*(l + 1)**2
Let g(z) = -7*z**4 + 5*z**3 + 2*z**2 - 6*z + 18. Let d(a) = 15*a**4 - 11*a**3 - 3*a**2 + 15*a - 39. Let u(m) = 6*d(m) + 13*g(m). Factor u(k).
-k*(k - 3)*(k + 2)**2
Let x = -110 + 128. Let f be (-28)/x*168/(-196). Let -16/3 - 4*k + f*k**2 = 0. What is k?
-1, 4
Let s(a) be the third derivative of 5*a**5/72 - 5*a**4/24 + 5*a**3/36 - a**2 + 1. Factor s(p).
5*(p - 1)*(5*p - 1)/6
Suppose -44*x + 283*x = 0. Find d, given that -3/2*d**2 + 3/2*d + x = 0.
0, 1
Let u(v) = 8*v**2 - 208*v + 2692. Let y(c) = -17*c**2 + 416*c - 5381. Let f(o) = 9*u(o) + 4*y(o). Factor f(t).
4*(t - 26)**2
Suppose 110 = -t - 3*d + 95, 12*d + 87 = 5*t. Factor 2/7*m - 2/7*m**t + 0*m**2 + 0.
-2*m*(m - 1)*(m + 1)/7
Let d be 1318/(-6) - ((-10)/(-3) - 3). Let q be 40/d - (-35)/11. Let 6/5*x**2 + 2/5*x**q - 2/5*x - 6/5 = 0. What is x?
-3, -1, 1
Factor 21632/17 + 2/17*x**2 + 416/17*x.
2*(x + 104)**2/17
Suppose -51*r = -10*r - 6*r - 70. Factor -2 + 20/3*p + 5/6*p**3 - 9/2*p**r.
(p - 3)*(p - 2)*(5*p - 2)/6
Determine m so that -34/3 - 1/3*m**2 - 19/3*m = 0.
-17, -2
Let a(l) = -2*l**2 - 6*l - 2. Let s be a(-1). Let j(t) be the first derivative of 1/8*t**4 - t + 3 + 1/3*t**3 - 1/4*t**s. Find y such that j(y) = 0.
-2, -1, 1
Suppose -21/4*v**3 + 51/2 - 171/2*v**2 + 261/4*v = 0. Calculate v.
-17, -2/7, 1
Suppose 45 = 5*x, 1013 - 959 = -t + 6*x. Find d, given that -2/9 + 2/9*d**2 + t*d = 0.
-1, 1
Let h(y) = -y**2 - 19*y - 35. Let k be h(-17). Let x be (-2 - k)/(-1)*0/(-19). Suppose 2/3*d**3 - 4/3*d**2 + x + 0*d = 0. Calculate d.
0, 2
Let y be (-60)/(-5)*(-6)/8 - -9. Suppose f**2 - 1/4*f + f**4 - 1/4*f**5 - 3/2*f**3 + y = 0. Calculate f.
0, 1
Suppose -12/5*n**4 + 12/5 + 0*n**2 - 4*n**3 + 22/5*n - 2/5*n**5 = 0. Calculate n.
-3, -2, -1, 1
Let a(u) = 6*u**4 - 34*u**3 - 105*u**2 - 99*u - 25. Let i(p) = -p**4 + p - 1. Let n(s) = a(s) + 3*i(s). Factor n(m).
(m - 14)*(m + 1)**2*(3*m + 2)
Let i(u) be the third derivative of -u**7/630 + u**6/180 + 9*u**2 - 6*u. Determine z so that i(z) = 0.
0, 2
Find j, given that -68/5*j - 2/5*j**2 - 578/5 = 0.
-17
Let j(h) be the third derivative of -h**7/210 + h**6/30 - h**5/30 - h**4/6 + h**3/2 + 2*h**2 - 60*h. Factor j(a).
-(a - 3)*(a - 1)**2*(a + 1)
Suppose -46 = -11*c - 2. Let h(o) be the second derivative of 0 + 1/42*o**7 + 0*o**3 + 0*o**2 + 1/20*o**6 - 1/20*o**5 - 9*o + 0*o**c. Factor h(k).
k**3*(k + 2)*(2*k - 1)/2
Let p(f) = f**2 + 56*f + 761. Let l be p(-23). Suppose -15/2*q**l + 25*q + 20 = 0. What is q?
-2/3, 4
Factor 6*a**2 + 0 - 4/3*a - 8*a**3 + 10/3*a**4.
2*a*(a - 1)**2*(5*a - 2)/3
Let t(n) = 14*n**3 + 9*n**2 - 5*n - 103. Let p(x) = 11*x**3 + 9*x**2 - 4*x - 104. Let w(f) = -5*p(f) + 4*t(f). Factor w(q).
(q - 6)**2*(q + 3)
Let z(b) be the third derivative of -b**5/60 + b**4/12 - 3*b**2 - 19. Let n(o) = -o**2 - 5*o - 4. Let s(k) = n(k) - 5*z(k). Solve s(u) = 0.
-1/4, 4
Find y such that 88*y + 0*y**2 - 57 + 26 + 31 - 4*y**2 = 0.
0, 22
Suppose 98*s = 99*s - 2. Let v(x) be the third derivative of 0*x - s*x**2 + 1/30*x**5 + 0 + 0*x**3 + 0*x**4. What is u in v(u) = 0?
0
Determine d so that 6 + 1140*d**2 - 383*d**2 - 27*d - 387*d**2 - 385*d**2 = 0.
-2, 1/5
Let h = 2191/2 - 4239/4. Factor 23/4*a**2 + 121/4 - 1/4*a**3 - h*a.
-(a - 11)**2*(a - 1)/4
Let b(g) = 7*g**2 - 16*g + 9. Let h(r) be the first derivative of 2*r**3 - 8*r**2 + 10*r - 19. Let y(j) = 4*b(j) - 5*h(j). Factor y(a).
-2*(a - 7)*(a - 1)
Let h(o) be the second derivative of -1/2*o**3 - 1/24*o**4 + 0 - 9/4*o**2 - 17*o. Find d, given that h(d) = 0.
-3
Let r(i) be the first derivative of 46 - 22/35*i**5 - 4/21*i**6 + 1/7*i**2 + 0*i - 9/14*i**4 - 2/21*i**3. Determine t so that r(t) = 0.
-1, 0, 1/4
Let t(q) be the third derivative of 1/24*q**4 + 0 - 1/120*q**6 + 0*q**3 + 1/210*q**7 - 3*q**2 - 1/60*q**5 + 0*q. Factor t(i).
i*(i - 1)**2*(i + 1)
Let v = -1596 - -8033/5. Let n = 61/5 - v. Let -6/5*h**2 + 0*h + 2/5*h**3 + n = 0. What is h?
-1, 2
Let u be 7/(-14)*(1 + -8 + 3). Let w be 8/(-6)*(-9)/6. What is g in 3*g**2 + g - u*g**2 + 0*g**w = 0?
-1, 0
Factor 498 + 24*k**3 - 45*k**2 + 15*k**4 - 90*k**3 - 498.
3*k**2*(k - 5)*(5*k + 3)
Solve -14/9*v**2 + 2/9*v**4 - 2/9*v + 4/9 - 4/9*v**5 + 14/9*v**3 = 0.
-2, -1/2, 1
Let m(i) be the first derivative of 17/3*i**2 - 1/9*i**3 + 51 - 289/3*i. Solve m(o) = 0.
17
Let a(s) be the third derivative of -s**6/60 - s**5/30 + 5*s**4/2 + 159*s**2 - 2. Factor a(j).
-2*j*(j - 5)*(j + 6)
Determine l, given that 11/8*l**4 + 97/8*l**2 - 1/8*l**5 + 9/2 - 47/8*l**3 - 12*l = 0.
1, 2, 3
Let u(a) = -9*a**2 - a + 1. Let r(m) = -4*m**2 - m. Suppose 6 = -7*x + 8*x. Suppose v = -9 - 5. Let c(p) = v*r(p) + x*u(p). Suppose c(b) = 0. Calculate b.
-3, -1
Let r be ((-270)/33 - -8) + 41/165. Let k(h) be the second derivative of -3*h - 2/3*h**3 + 0 + 0*h**4 + h**2 - r*h**6 + 1/5*h**5. Let k(c) = 0. What is c?
-1, 1
Let o(h) = -7*h - 8. Let v be o(-4). Suppose 6*b - 10 = v. Let -17*s**2 - 6 + 15 + b*s**2 - 8*s**3 - 5 = 0. Calculate s.
-1, 1/2
Let a(y) be the third derivative of 0*y + 0*y**3 + y**2 + 0*y**4 - 1/210*y**6 + 0 - 1/105*y**5. Suppose a(i) = 0. Calculate i.
-1, 0
Let b(d) be the first derivative of -3*d**5/5 - 3*d**4/2 + d**3 + 3*d**2 - 155. Factor b(k).
-3*k*(k - 1)*(k + 1)*(k + 2)
Let i(m) = -4*m - 13. Let f be i(-4). Determine u, given that 2 - 14*u - 13*u**2 - 50*u**f + 51*u**2 - 6*u**5 + 32*u**4 - 2*u**5 = 0.
1/2, 1
Let c(x) be the first derivative of 5*x**4/4 + 15*x**3 + 135*x**2/2 + 135*x - 81. Let c(s) = 0. What is s?
-3
Let v be 4 - ((-1)/(-2) - (-75)/24). Let z(b) be the first derivative of v*b**2 - 1/4*b - 3 - 3/16*b**4 + 1/12*b**3. Determine p so that z(p) = 0.
-1, 1/3, 1
Let j(f) be the second derivative of 0 + 0*f**5 + 0*f**2 + 0*f**3 + 2/21*f**7 - 17*f + 0*f**4 - 4/15*f**6. Solve j(t) = 0.
0, 2
Let p(n) = -152*n**3 + 522*n**2 - 105*n + 11. Let b(s) = 2*s**3 + s + 1. Let g(f) = -5*b(f) + p(f). Find c, given that g(c) = 0.
1/9, 3
Suppose 0*h - 4 = 4*h. Let u be 21 + (-4)/h + -2. Find y such that 16*y**4 - 10*y**5 - 5*y - 5*y**3 + u*y**3 - 1