4/40 - x**3/30 - 3*x**2/2 - 1. Let n(i) be the second derivative of y(i). Solve n(o) = 0.
1
Factor -4 + 5*b**3 - 2*b**3 - 8*b**3 + 4*b**2 + 7*b**3 - 2*b.
2*(b - 1)*(b + 1)*(b + 2)
Let k(a) be the first derivative of -5*a**6/6 + 6*a**5 - 45*a**4/4 + 20*a**3/3 + 69. Factor k(m).
-5*m**2*(m - 4)*(m - 1)**2
Let a(r) = 11*r**5 + 3*r**4 + 6*r**3 - 5*r**2. Let d(v) = 12*v**5 + 0*v**3 - 4*v**2 + 0*v**3 + 5*v**3 + 4*v**4. Let m(y) = 4*a(y) - 5*d(y). Factor m(t).
-t**3*(4*t + 1)**2
Let f(n) = n + 2. Let k be f(-2). Let a be k + 1 - 8/8. Solve a - 1/3*l**3 - 2/3*l**2 - 1/3*l = 0.
-1, 0
Suppose -3/8*z**2 + 9/8*z - 3/4 = 0. What is z?
1, 2
Let d(c) be the second derivative of 0*c**2 + 1/21*c**7 + 1/15*c**6 + 0 + c + 0*c**3 - 1/10*c**5 - 1/6*c**4. Determine p, given that d(p) = 0.
-1, 0, 1
Let 16/3*l**2 + 14/3 + 11*l - l**3 = 0. Calculate l.
-1, -2/3, 7
Let o(g) be the first derivative of -g**4/14 + 2*g**3/21 + 2*g**2/7 - 11. Factor o(p).
-2*p*(p - 2)*(p + 1)/7
Suppose -2/3*a + 4/3 - 2/3*a**2 = 0. What is a?
-2, 1
Let x(u) be the second derivative of -3*u**5/5 + 14*u**4/3 - 26*u**3/3 - 12*u**2 + 69*u. Let x(t) = 0. What is t?
-1/3, 2, 3
Factor 0 + 2/5*o**3 + 6/5*o**2 - 8/5*o.
2*o*(o - 1)*(o + 4)/5
Let d be (0 + (-5)/2)*4. Let o be 2/d + 21/5. Factor -4*b**o - 3*b**5 + b**5 + 3*b**3 + 2*b**2 + 2*b**4 - b**3.
-2*b**2*(b - 1)*(b + 1)**2
Let r(p) = 11*p**2 - 70*p + 251. Let a(u) = u**2 + 1. Let g(m) = 6*a(m) - r(m). Factor g(s).
-5*(s - 7)**2
Factor 72/13*b**2 + 2/13*b**4 + 24/13*b**3 + 0*b + 0.
2*b**2*(b + 6)**2/13
Factor -7/2*b + 0 + 1/2*b**2.
b*(b - 7)/2
Suppose -5*z - 6 = 3*o, o - 6 = -4*z + 4*o. Suppose 0 + 1/4*t**4 + 1/4*t**2 - 1/2*t**3 + z*t = 0. Calculate t.
0, 1
Let t(l) be the third derivative of -l**5/150 + l**4/10 + 2*l**2. Solve t(p) = 0 for p.
0, 6
Let r = -8/53 - -191/212. Determine v so that 0 - 3/8*v**3 - 3/8*v + r*v**2 = 0.
0, 1
Let b(m) be the third derivative of m**8/672 + 3*m**7/140 + 29*m**6/240 + 13*m**5/40 + 3*m**4/8 - 43*m**2. Let b(g) = 0. Calculate g.
-3, -2, -1, 0
Suppose 2*g + 14 = -4*u, -2*g - 3*u + 2*u = -1. Find o such that 4/7*o**2 - 2/7*o**5 + 2/7*o - 4/7*o**4 + 0 + 0*o**g = 0.
-1, 0, 1
Let f be (4/(-14))/(220/(-308)). Factor 2/5*g - 2/5*g**2 - f*g**3 + 2/5.
-2*(g - 1)*(g + 1)**2/5
Suppose 8*i + 4 = 4. Let b(k) be the first derivative of i*k - 3/2*k**2 + 2 - k**3. Suppose b(a) = 0. Calculate a.
-1, 0
Find p such that -6/11*p**4 - 36/11*p**3 - 72/11*p**2 - 18/11 - 60/11*p = 0.
-3, -1
Let w(a) be the first derivative of -a**6/720 + a**4/48 + 2*a**3/3 + 2. Let c(q) be the third derivative of w(q). Factor c(n).
-(n - 1)*(n + 1)/2
Solve i**3 + 2/3*i - 5/3*i**2 + 0 = 0.
0, 2/3, 1
Let j(f) be the third derivative of -1/75*f**5 + 0 + 1/60*f**4 + 0*f**3 - 1/840*f**8 + 2/525*f**7 + 0*f + 0*f**6 - f**2. Factor j(t).
-2*t*(t - 1)**3*(t + 1)/5
Let f(o) be the third derivative of -o**9/151200 - o**8/16800 - o**7/6300 - o**5/60 - 4*o**2. Let i(j) be the third derivative of f(j). Factor i(q).
-2*q*(q + 1)*(q + 2)/5
Factor 13/7*f**4 - 15/7*f**3 + 0 + 0*f + 2/7*f**2.
f**2*(f - 1)*(13*f - 2)/7
Let t(q) be the first derivative of -2*q**3/21 + 5. Factor t(y).
-2*y**2/7
Factor -9*i**4 + 23*i**5 + 3*i**3 + 9*i**2 - 35*i**5 - 6*i + 15*i**5.
3*i*(i - 2)*(i - 1)**2*(i + 1)
Let g be 1*(-2 - -2)/(-4). Let r(w) be the second derivative of 1/75*w**6 + 0 + 4*w + 1/25*w**5 + 0*w**3 + 1/30*w**4 + g*w**2. Factor r(n).
2*n**2*(n + 1)**2/5
Factor -4/9*n + 0 - 2/9*n**3 - 2/3*n**2.
-2*n*(n + 1)*(n + 2)/9
Let x = -79/2 - -40. Factor 0 - 1/2*z - x*z**2.
-z*(z + 1)/2
Let s(l) be the third derivative of -l**5/75 + l**4/10 - 28*l**2. Determine f, given that s(f) = 0.
0, 3
Let i(y) be the third derivative of 0*y**6 - 1/8*y**4 + 3/40*y**5 - 1/140*y**7 + 0 + 0*y + 0*y**3 + 2*y**2. Factor i(b).
-3*b*(b - 1)**2*(b + 2)/2
Let z(w) be the third derivative of -w**7/42 - w**6/60 + 4*w**2. Solve z(c) = 0.
-2/5, 0
Factor 3*q**4 - q**4 - 7*q**4 + 8*q**2 - 10*q**3 - 13*q**2.
-5*q**2*(q + 1)**2
Let n be (-9)/(-3) - (0/3 - 1). Factor 1/2*b**2 + 1/2*b**n + 0*b + b**3 + 0.
b**2*(b + 1)**2/2
Let d(k) be the third derivative of 0 - 3*k**2 + 0*k - 1/72*k**4 - 1/180*k**5 - 1/1080*k**6 - 2/3*k**3. Let t(u) be the first derivative of d(u). Factor t(o).
-(o + 1)**2/3
Let s = -34/3 - -12. Solve 1/3*l**5 + 0 - s*l + 1/3*l**3 + l**2 - l**4 = 0.
-1, 0, 1, 2
Let s(w) be the second derivative of w**4/36 - 34*w. Determine r, given that s(r) = 0.
0
Let l = 1501/13 - 115. Solve 0 + l*y**4 + 6/13*y**3 + 2/13*y**2 + 0*y + 2/13*y**5 = 0.
-1, 0
Factor 19*l**3 + 3 - 5*l**3 + 7*l**2 - 8*l - 16*l**3.
-(l - 1)**2*(2*l - 3)
Let s(l) be the first derivative of 0*l - 2/33*l**3 + 0*l**2 + 1/33*l**6 - 6/55*l**5 + 3/22*l**4 + 4. Let s(k) = 0. Calculate k.
0, 1
Let h be -5 + (-396)/(-84) + (-39)/(-14). Suppose 3*g - 2 = 4. What is u in h*u - 1 + 1/2*u**3 - 2*u**g = 0?
1, 2
Suppose 5*m + 7 = 47. Let t be m/6*3/2. Solve 0*p**2 + 2*p**2 + 0*p**2 - t = 0 for p.
-1, 1
Factor -6*j**2 + 32*j - 43 + 5*j**2 + 9 + 3*j**2.
2*(j - 1)*(j + 17)
Let v(s) be the second derivative of -25*s**7/84 + s**6/2 + 11*s**5/40 - s**4/2 - s**3/3 - 5*s. Factor v(z).
-z*(z - 1)**2*(5*z + 2)**2/2
Find p such that -42*p**2 - 42*p**2 - 18*p**3 - 50*p + 0*p + 44 - 52 = 0.
-4, -1/3
Let m be ((-2)/(-3))/(-10 - (-272)/24). Find p such that -m*p + p**4 + 13/6*p**3 - 1/3 + p**2 = 0.
-1, -2/3, 1/2
Let g(f) = 2*f + 24. Let w be g(-11). Suppose 0*r - 8/5*r**3 - 2/5*r**5 + 0*r**w + 8/5*r**4 + 0 = 0. What is r?
0, 2
Factor 2/5*m**2 + 2/5*m**3 - 4/5*m + 0.
2*m*(m - 1)*(m + 2)/5
Find g, given that -2/3*g**4 + 2/3*g**2 - 1/3*g**3 + 0 + 1/3*g**5 + 0*g = 0.
-1, 0, 1, 2
Let p(q) = -6*q**4 - 62*q**3 - 142*q**2 - 118*q - 26. Let i(c) = 19*c**4 + 187*c**3 + 425*c**2 + 353*c + 79. Let l(y) = 6*i(y) + 17*p(y). Factor l(g).
4*(g + 1)*(g + 2)**2*(3*g + 2)
Let o(v) be the second derivative of -2*v + 1/14*v**4 - 1/21*v**3 + 0 - 2/7*v**2. Suppose o(m) = 0. What is m?
-2/3, 1
Suppose -1/3*a**4 + 0*a**3 + 0 + a**2 - 2/3*a = 0. What is a?
-2, 0, 1
Let l be ((-3)/(-6))/(1/8). Factor 12*o**2 - o - 1 + 2*o + 16*o**l - 2*o**3 - 26*o**3.
(o - 1)*(2*o - 1)**2*(4*o + 1)
Let -4/3*m - 10/3*m**2 + 0 + 14/3*m**3 = 0. What is m?
-2/7, 0, 1
Suppose -5*t - 4*p + 10 = 0, 5*t = 3*p + 12 + 33. Suppose 2*r = w - t, -3*r = -5*w - 0*w + 23. Factor -1 + 2*k**2 + 1 + w*k**3.
2*k**2*(2*k + 1)
Let j be 117/(-7) - 2/7. Let t = j + 19. Factor 0 - 2/3*s**t - 2/3*s**3 + 0*s.
-2*s**2*(s + 1)/3
Let l(k) = 2*k**2 + 4*k + 4. Let o(v) = 4*v**2 + 8*v + 9. Let w(r) = 5*l(r) - 2*o(r). Factor w(i).
2*(i + 1)**2
Let h(a) = 3*a**5 + 13*a**4 - 4*a**3 - 7*a - 7. Let q(g) = -g**5 - 4*g**4 + g**3 + 2*g + 2. Let w(m) = 2*h(m) + 7*q(m). Factor w(k).
-k**3*(k + 1)**2
Let w(f) = 28*f**3 - 76*f**2 + 112*f - 32. Let h(d) = -9*d**3 + 25*d**2 - 37*d + 11. Let b(t) = -16*h(t) - 5*w(t). Factor b(o).
4*(o - 2)**2*(o - 1)
Suppose -6 = 5*f - 1. Let n be 8/(f + 2 + 1). Factor n*x + 2*x**2 + x**2 - 3*x + 2*x.
3*x*(x + 1)
Let t(v) = v - 1. Let g(c) = 3*c**2 + 18*c - 9. Let n(z) = -g(z) + 12*t(z). Find b, given that n(b) = 0.
-1
Factor -1/6*v**3 - 2/3*v**2 - 5/6*v - 1/3.
-(v + 1)**2*(v + 2)/6
Let i(y) be the second derivative of -y**5/100 - y**4/40 + 4*y**2 + 6*y. Let q(z) be the first derivative of i(z). Factor q(h).
-3*h*(h + 1)/5
Let u be (-5)/(-6)*(-75)/(-125). Factor 0*j**2 + 3/4*j - u - 1/4*j**3.
-(j - 1)**2*(j + 2)/4
Let p = -22 - -24. Let f be (-1)/(-2)*2*p. Factor -5*o**f - o - 21/4*o**3 + 0.
-o*(3*o + 2)*(7*o + 2)/4
Let a(i) be the second derivative of -i**7/70 + i**6/25 - i**4/10 + i**3/10 - 2*i. Suppose a(u) = 0. Calculate u.
-1, 0, 1
Let d = -23 + 25. Factor -2/5*o + 0 - 2/5*o**d.
-2*o*(o + 1)/5
Let f be -2*(-5)/(40/12). Suppose -m - 5*u + 2 = 0, f*m = 3*u + 4 + 2. Determine r, given that 8/3*r - 2*r**m - 2/3 = 0.
1/3, 1
Suppose 7*v = 3*v + 4, 0 = -4*m + 5*v + 7. What is c in 2/3 + 8/3*c + 2/3*c**4 - 16/3*c**m + 8/3*c**5 - 4/3*c**2 = 0?
-1, -1/4, 1
Suppose 0 = 4*o - 11 + 35. Let h = 8 + o. Factor -r + 2*r**2 - 4*r**2 + r**h.
-r*(r + 1)
Suppose -2*l = h, 5*l + 4 = -3*h + 5. Let 21/5*k**h + 0 + 3*k**3 + 6/5*k = 0. Calculate k.
-1, -2/5, 0
Let g be (0/(-2))/(14/(-7)). Let j(i) be the third derivative of -1/4*i**3 + g + 1/16*i**4 - 3*i**2 + 1/40*i**5 + 0*i - 1/80*i**6. Factor j(b).
-3*(b - 1)**2*(b + 1)/2
Let y(q) = 100*q**