 be the third derivative of -3*r**2 + 0*r + 0 + 0*r**3 + 1/10*r**d - 1/8*r**4 - 1/40*r**6. Determine y, given that n(y) = 0.
0, 1
Let z(m) be the second derivative of 0 - 1/51*m**3 + 2/17*m**2 - 2*m - 1/102*m**4. Suppose z(i) = 0. Calculate i.
-2, 1
Let d(k) be the first derivative of k**5/60 + 2*k**4/3 + 32*k**3/3 + 19*k**2/2 + 15. Let m(z) be the second derivative of d(z). Find i such that m(i) = 0.
-8
Let h(v) be the first derivative of -v**3/3 - 3*v**2/2 - 2*v + 37. Factor h(p).
-(p + 1)*(p + 2)
Let t = 37 + -37. Let s(y) be the first derivative of t*y**3 + 0*y - 3/10*y**4 + 0*y**5 - 1 + 3/10*y**2 + 1/10*y**6. Factor s(i).
3*i*(i - 1)**2*(i + 1)**2/5
Factor -4*p**4 + p**2 + 2*p**2 + 8*p**2 - 4*p + 4*p**3 - 8 + p**2.
-4*(p - 2)*(p - 1)*(p + 1)**2
Factor -135*f**3 - 22*f + 124*f + 10*f + 60*f**2 - 47*f + 10*f**4.
5*f*(f - 13)*(f - 1)*(2*f + 1)
Let f(p) = -p**3 + p**2 + p - 1. Suppose -13*c - 4 = -9*c. Let t(x) = 9*x**3 - 9*x**2 - 4*x + 4. Let a(u) = c*t(u) - 4*f(u). Factor a(g).
-5*g**2*(g - 1)
Let q = 29711 - 29711. Suppose q + 4/3*j + 2/3*j**2 = 0. Calculate j.
-2, 0
Let a(r) be the first derivative of 12/5*r - 7/5*r**2 - 5 + 0*r**3 + 1/10*r**4. Suppose a(w) = 0. Calculate w.
-3, 1, 2
Factor -28*r**2 + 4*r**3 + 8*r + 2*r**3 - r**3 + 48*r**2 + 7*r.
5*r*(r + 1)*(r + 3)
Let w(l) be the first derivative of -l**2 - 24 + 0*l - 1/3*l**3 + 1/4*l**4. Factor w(n).
n*(n - 2)*(n + 1)
Let u = 9 - 19. Let v(y) = 3*y + 4*y - 5*y - y. Let q(r) = -3*r**2 - 12*r - 2. Let g(n) = u*v(n) - 2*q(n). Factor g(z).
2*(z + 2)*(3*z + 1)
Solve c**4 + 1/2*c**5 - 2*c**3 - 4*c**2 + 0 + 0*c = 0.
-2, 0, 2
Factor 21*d**2 - 604*d + 2*d**4 + 7*d**2 + 28*d**3 - 598*d + 1210*d + 6*d**4.
4*d*(d + 1)*(d + 2)*(2*d + 1)
What is v in -147/2*v**4 + 2 + 21*v + 259/4*v**3 + 143/2*v**2 - 343/4*v**5 = 0?
-1, -2/7, 1
Let h(g) be the first derivative of g**6/120 - g**5/60 - 5*g**4/24 - g**3/2 + 2*g**2 + 23. Let q(i) be the second derivative of h(i). Solve q(t) = 0 for t.
-1, 3
Suppose 0 = 30*i - 78*i + 96. Suppose 2/7*u - 4/7*u**i + 0 + 2/7*u**3 = 0. What is u?
0, 1
Let c(t) be the third derivative of t**6/40 - 79*t**5/180 + 3*t**4/4 + 8*t**3/9 - 459*t**2. Suppose c(b) = 0. Calculate b.
-2/9, 1, 8
Find p such that 0 - 1/2*p**5 + 3/2*p + 3*p**3 + 0*p**4 + 4*p**2 = 0.
-1, 0, 3
Let q(i) = -1 + 0*i**2 - i + 3*i**2 - 2*i**2. Let m(b) = 4*b**2 - 12*b - 6. Let n(u) = -m(u) + 6*q(u). Factor n(r).
2*r*(r + 3)
Let w(q) be the first derivative of -q**6/420 + q**5/70 - q**4/28 + q**3/21 - 7*q**2 - 7. Let b(t) be the second derivative of w(t). Factor b(r).
-2*(r - 1)**3/7
Let w(l) be the second derivative of -2*l**6/15 - 8*l**5/5 - 17*l**4/3 - 20*l**3/3 + l - 103. Solve w(x) = 0.
-5, -2, -1, 0
What is p in 2*p**4 + 2*p**2 - 2*p**2 + 8*p**2 - 8*p**3 + 0*p**3 = 0?
0, 2
Let w be 0 + 2 - 38/(-76). Let b(i) be the second derivative of -9*i - 3/20*i**5 - i**4 - w*i**3 - 3*i**2 + 0. Factor b(z).
-3*(z + 1)**2*(z + 2)
Let n(o) be the first derivative of -5*o**2/2 - 17*o - 15. Let a be n(-4). Find m, given that -m - 7/2*m**4 - 3/2*m**2 + 6*m**a + 0 = 0.
-2/7, 0, 1
Suppose -3*f + 2*v = -17, -f = 72*v - 67*v + 17. Let 5/2*r**f + 3/2*r**4 + 1/2*r**2 + 0 - 1/2*r = 0. What is r?
-1, 0, 1/3
Let g(s) = s**3 - 2*s**2 - 3*s + 2. Let p be g(3). Suppose -5*v = -w - 0*v - 2, -2*v = -p. Suppose -14*n**4 + 10*n**5 + 8*n**4 + 2*n**3 - 6*n**w = 0. What is n?
-2/5, 0, 1
Let h(s) be the third derivative of s**5/15 - 5*s**4/6 - 29*s**3/6 + 13*s**2. Let i(d) = -2*d**2 + 10*d + 15. Let v(x) = 3*h(x) + 5*i(x). Factor v(n).
2*(n - 6)*(n + 1)
Let a(o) be the second derivative of 0*o**3 + 1/2*o**4 + o**2 + 6*o + 0 + 1/15*o**5. Let q(i) be the first derivative of a(i). Factor q(w).
4*w*(w + 3)
Determine x so that -24/13*x**3 + 0*x + 0*x**2 + 0 + 2/13*x**5 + 22/13*x**4 = 0.
-12, 0, 1
Factor 246*v + 0*v**3 + 243*v - 4*v**2 - 492*v - v**3 + 0*v**3.
-v*(v + 1)*(v + 3)
Let d = 64 - 575/9. Let q(h) be the first derivative of 0*h**2 + 0*h - d*h**3 + 3. Suppose q(l) = 0. Calculate l.
0
Suppose -5*d + 18 = n, 0*d = -4*d - 4*n + 24. Find c such that -9*c**5 + 20*c**2 - 6*c - 36*c**d - 9*c**3 - 33*c**4 - 47*c**2 = 0.
-1, -2/3, 0
Factor 6*c + 2/3*c**2 - 44/3.
2*(c - 2)*(c + 11)/3
Let a be 2 - 1 - 144/(-6). Suppose a - 90*z - z**2 + 2*z**2 + 100*z + 0*z**2 = 0. What is z?
-5
Let h = -19 - -23. Let r be h - ((-20)/(-45) - -2). Factor 68/9*m**3 + 52/9*m**4 + r*m**5 + 32/9*m**2 - 2/9*m - 4/9.
2*(m + 1)**4*(7*m - 2)/9
Let k(u) = 19*u**4 - 60*u**3 - 31*u**2 + 192*u - 107. Let o(i) = 3*i**4 - 10*i**3 - 5*i**2 + 32*i - 18. Let x(s) = 2*k(s) - 13*o(s). Factor x(y).
-(y - 10)*(y - 1)**2*(y + 2)
Suppose 243*y - 239*y = 32. Let y*z - 20 - 4/5*z**2 = 0. Calculate z.
5
Suppose 29*j - 27*j - 12 = 0. Factor 95 - 21 + 5*c**2 + 18*c + 22*c + j.
5*(c + 4)**2
Let z be (-15)/(-195) + 3 + (-201)/78. Let i(m) be the second derivative of 8*m - 2/3*m**4 + 0 + 0*m**2 + z*m**3 - 3/20*m**5. Find b, given that i(b) = 0.
-3, 0, 1/3
Factor -188/13*u**2 + 2/13*u**5 + 62/13*u + 0 + 192/13*u**3 - 68/13*u**4.
2*u*(u - 31)*(u - 1)**3/13
Let d = 61961/40 + -1549. Let i(m) be the third derivative of 3*m**2 + 0*m - d*m**6 + 1/8*m**4 + m**3 - 1/10*m**5 + 0. Factor i(k).
-3*(k - 1)*(k + 1)*(k + 2)
Let f(j) be the second derivative of -7*j + 7/80*j**5 + 1/2*j**2 + 0 + 5/6*j**3 + 23/48*j**4. Factor f(v).
(v + 1)*(v + 2)*(7*v + 2)/4
Factor 726*p**2 + 0*p**3 + 200 - 160*p - 2*p**3 - 764*p**2.
-2*(p - 1)*(p + 10)**2
Let a(c) = -5*c**3 - 3*c**2 + 11*c - 12. Let q(x) = 16*x**3 + 10*x**2 - 32*x + 36. Let h(v) = 10*a(v) + 3*q(v). Factor h(m).
-2*(m - 2)*(m - 1)*(m + 3)
Let t(d) = 20*d**2 - 11*d + 6. Let m(c) = 7*c**2 - 4*c + 2. Let l(f) = -8*m(f) + 3*t(f). Let h be l(1). Factor z - z**2 - z**2 + 2 - z**3 + h*z**2 - 5*z**2.
-(z - 1)*(z + 1)*(z + 2)
Find i such that -48/11 - 2/11*i**2 + 2*i = 0.
3, 8
Let k(l) be the second derivative of l**6/105 - l**5/35 + 2*l**3/21 - l**2/7 + 141*l. Factor k(p).
2*(p - 1)**3*(p + 1)/7
Let f(c) = -5*c**2 - 9*c - 4. Suppose -14*o + 34 + 50 = 0. Let n(w) = -2*w**2 - 3*w - 1. Let g(h) = o*f(h) - 21*n(h). Find q such that g(q) = 0.
-1, 1/4
Solve 0*p + 0 - 2*p**4 - 1/2*p**3 + 1/2*p**5 + 2*p**2 = 0.
-1, 0, 1, 4
Let v(m) = -2*m - 11. Let r be v(5). Let s = r - -31. Factor -s + 23*d**2 + 0*d**2 - 43*d**2 + 55*d - 55*d**2.
-5*(3*d - 1)*(5*d - 2)
Let w = 559 + -67079/120. Let m(q) be the third derivative of 10*q**2 + 0 + 0*q**4 - 1/12*q**3 + w*q**5 + 0*q. Let m(c) = 0. Calculate c.
-1, 1
Let w be (-45)/21 + 20*(-2)/(-8). Determine j, given that 10/7*j**4 + 2/7*j**5 + 10/7*j + 2/7 + 20/7*j**2 + w*j**3 = 0.
-1
Let s(b) = 8*b**4 - 7*b**3 - 20*b**2 + 13*b + 12. Let q(k) = -k**4 + 3*k**2 - k - 2. Let p(y) = 6*q(y) + s(y). Factor p(g).
g*(g - 1)*(g + 1)*(2*g - 7)
Let p(n) be the first derivative of -n**5/20 + 11*n**4/16 - 9*n**3/4 + 25*n**2/8 - 2*n + 380. Let p(r) = 0. Calculate r.
1, 8
Let z(a) = a**3 + 8*a**2 + 7*a + 3. Let i be z(-7). Suppose -b - 5*q + 2*q + 11 = 0, -i*q = -2*b - 5. What is u in -8/17*u**b + 4/17 - 14/17*u = 0?
-2, 1/4
Suppose -26*a + 2 = -50. Let o(f) be the third derivative of 0 + 3*f**a + 1/48*f**6 + 7/120*f**5 - 1/6*f**4 + 0*f - 1/3*f**3. Solve o(q) = 0 for q.
-2, -2/5, 1
Let d(n) be the first derivative of -n**6/105 + n**5/35 + n**4/42 - 2*n**3/21 - 16*n - 2. Let h(s) be the first derivative of d(s). Solve h(g) = 0 for g.
-1, 0, 1, 2
Let j(r) = -15*r**2 - 68*r. Let l(t) = 7*t**2 + 34*t. Let c(q) = 6*j(q) + 13*l(q). Determine v so that c(v) = 0.
-34, 0
Let a(y) be the first derivative of 2*y**5/25 - y**4/10 - 2*y**3/15 + y**2/5 + 2. Solve a(j) = 0 for j.
-1, 0, 1
Suppose -2 - 10 = -3*a. Suppose 5*n + 7 = 2*n + 4*v, 0 = 3*n + 5*v - 29. Factor 9*g**2 + 3*g**2 + 12*g**3 + 3 + n*g**a + 12*g + 6*g**2.
3*(g + 1)**4
Let g be 1/(3 - (-24)/(-9)). Let i be (-4)/42 + (-470)/(-35). Determine q, given that 0 - 14/3*q**g - 4/3*q - 22/3*q**2 + i*q**4 = 0.
-2/5, -1/4, 0, 1
Let z(t) = 2*t**2 + 4*t - 6. Let i be z(3). Suppose -i*v + 16*v + 14*v - 2*v**2 = 0. What is v?
0, 3
Let x(m) be the third derivative of -m**8/896 - 29*m**7/560 - 139*m**6/320 + m**5/160 + 67*m**4/8 - 23*m**3 + 234*m**2 + 2. Let x(s) = 0. What is s?
-23, -4, 1
Factor 5 + 3*c**2 - 28 + 87*c - 6 - 34 - 27.
3*(c - 1)*(c + 30)
Let p(c) be the first derivative of c**6/36 - 3*c**5/2 - 642. Find y such th