**5 - 6*o**5 + 22*o**5 - 6*o**3 = 0. What is o?
-1, -2/5, 0, 2
Let n(r) be the third derivative of -r**8/5880 - r**7/980 - r**6/420 - r**5/420 - 11*r**3/3 - 18*r**2. Let v(m) be the first derivative of n(m). Factor v(i).
-2*i*(i + 1)**3/7
Let n be 10/42 + 105/245. Let t(r) = -2*r - 2. Let i be t(-2). Factor -2*s + n - 2/3*s**3 + 2*s**i.
-2*(s - 1)**3/3
Let j(v) be the first derivative of 2*v**3/3 - 103*v**2/2 + 497*v + 19. Let k(t) = -5*t**2 + 205*t - 995. Let b(q) = -5*j(q) - 3*k(q). Factor b(m).
5*(m - 10)**2
Let x(v) be the second derivative of v**5/5 + 10*v**4/3 + 34*v**3/3 + 16*v**2 + 4*v + 4. Suppose x(p) = 0. Calculate p.
-8, -1
Factor -56 - 3*c**3 + 79*c + 11*c - 8*c**2 + c**2.
-(c - 4)*(c + 7)*(3*c - 2)
Let p(q) = 3*q**2 - 76*q + 451. Let d be p(16). Factor -2/5*r**2 + 4/15*r + 2/15*r**d + 0.
2*r*(r - 2)*(r - 1)/15
Let g(j) = j - 1. Let m = -106 + 186. Suppose 4*o = x - 38, 0 = -3*x - x - 2*o + m. Let s(r) = -r**2 - 9*r + 10. Let h(c) = x*g(c) + 2*s(c). Factor h(f).
-2*(f - 1)**2
Suppose 0 = 1152*j - 1167*j + 30. Factor 3/2*h + 2 - 1/2*h**j.
-(h - 4)*(h + 1)/2
Let i(r) = -r**2 + 7*r + 12. Let g be i(7). Factor g + 0 + 12*q + 4*q**2 - 28*q.
4*(q - 3)*(q - 1)
Let s = -17 + 107. Let a be s/160*4/3. Determine b so that -a*b - 1/2*b**2 + 0 + 1/4*b**3 = 0.
-1, 0, 3
Find z, given that 0 - 1/2*z**2 - 3*z = 0.
-6, 0
Let u(l) be the second derivative of -l**6/960 + l**5/480 + 3*l**3 + 9*l. Let v(i) be the second derivative of u(i). Factor v(n).
-n*(3*n - 2)/8
Let t(r) be the first derivative of 10*r**2 + 8*r + 16/3*r**3 + 14 + r**4. Factor t(h).
4*(h + 1)**2*(h + 2)
Factor 1/2*r**2 + 4 - 3*r.
(r - 4)*(r - 2)/2
Let g(p) = -p**3 - 5*p**2 - 6*p + 3. Let z be g(-3). Solve -c**3 + 2*c**2 - c**3 + z*c**3 + 0*c**3 = 0.
-2, 0
What is w in 4225/4 - 65/2*w + 1/4*w**2 = 0?
65
Let h be (-24)/(-40) - 17/(-5). Let -3*i + 3*i**5 + 4*i**2 + 2*i**2 - 5*i**4 - i**h = 0. What is i?
-1, 0, 1
Factor 33*s - 9*s + s - 5*s**2 + 0*s.
-5*s*(s - 5)
Factor -82*y - 5/4*y**2 + 33.
-(y + 66)*(5*y - 2)/4
Let x = -4/2405 - -4838/16835. Let r(n) be the first derivative of x*n**2 + 2/21*n**3 + 2/7*n + 6. Let r(l) = 0. What is l?
-1
Let d be 5*1/(-150)*1/(-2). Let k(y) be the third derivative of 0 - 2/3*y**3 - d*y**5 - 6*y**2 + 1/6*y**4 + 0*y. Determine p so that k(p) = 0.
2
Let g(l) be the third derivative of 1/1512*l**8 + 0*l**3 + 0*l - 1/540*l**6 + 8*l**2 + 0 + 1/945*l**7 + 0*l**4 - 1/270*l**5. Factor g(h).
2*h**2*(h - 1)*(h + 1)**2/9
Let k be (-724)/(-18) + (-2)/9. Let n**4 - k*n + 50*n**3 - 25*n**5 - 60*n**2 + 12*n**4 + 2*n**4 + 60*n**3 = 0. Calculate n.
-2, -2/5, 0, 1, 2
Let f = -784 + 784. Let p(o) be the third derivative of f*o + 0 + 4*o**2 + 4/3*o**3 - 1/15*o**5 - 1/6*o**4. Factor p(i).
-4*(i - 1)*(i + 2)
Let x(i) = -3*i**2 - 30*i + 27. Let y(m) = -2*m**2 - 15*m + 13. Let b(r) = 5*x(r) - 9*y(r). Let b(k) = 0. What is k?
2, 3
Let n(k) = 15*k**3 + 728*k**2 + 11512*k + 61432. Let o(x) = 10*x**3 + 485*x**2 + 7675*x + 40955. Let j(q) = 5*n(q) - 8*o(q). Solve j(w) = 0.
-16
Let y(o) be the first derivative of o**6/1980 + o**5/220 + 25*o**3/3 - 32. Let f(p) be the third derivative of y(p). Factor f(b).
2*b*(b + 3)/11
Let j(k) = k**3 + 7*k**2 - 8*k - 3. Let f(u) = 3*u**3 + 13*u**2 - 16*u - 5. Let b(m) = 3*f(m) - 5*j(m). Factor b(w).
4*w*(w - 1)*(w + 2)
Let h = -1407 + 1407. Determine g so that h*g**2 + 1/2*g**5 + 0*g + 0*g**4 - 2*g**3 + 0 = 0.
-2, 0, 2
Factor 1/6*k**2 + 1/6*k - 10/3.
(k - 4)*(k + 5)/6
Factor 1/2*n**2 + 5 - 7/2*n.
(n - 5)*(n - 2)/2
Let z(f) be the second derivative of 0 - 3*f - 1/120*f**5 - 1/2*f**3 + 0*f**2 + 0*f**4 - 1/240*f**6. Let r(p) be the second derivative of z(p). Factor r(h).
-h*(3*h + 2)/2
Let d(p) be the first derivative of p**5/80 + p**4/4 + 7*p**3/8 - 21*p**2/2 + 11. Let g(t) be the second derivative of d(t). Factor g(s).
3*(s + 1)*(s + 7)/4
Factor 9*w**2 + 56*w - 196/3 + 1/3*w**3.
(w - 1)*(w + 14)**2/3
Let b(a) = 5*a**2 - 10*a - 30. Let h(d) = d + 4. Let t(q) = q + 5. Let y(s) = 4*h(s) - 3*t(s). Let j(v) = -b(v) - 10*y(v). Factor j(p).
-5*(p - 2)*(p + 2)
Let m(t) = 7*t**3 - 22*t**2 + 93*t + 210. Let a(f) = -12*f**3 + 42*f**2 - 186*f - 420. Let z(w) = 5*a(w) + 9*m(w). Factor z(y).
3*(y - 5)*(y + 2)*(y + 7)
Let s(p) be the first derivative of -2*p**2 + 0*p - 4/3*p**3 - 11. Suppose s(o) = 0. What is o?
-1, 0
Let l(i) be the third derivative of -i**9/22680 + i**7/3150 - i**5/900 + 2*i**3 - 17*i**2. Let s(v) be the first derivative of l(v). Factor s(g).
-2*g*(g - 1)**2*(g + 1)**2/15
Let u(o) be the third derivative of o**5/150 + o**4/30 - o**3/5 + 95*o**2. Let u(m) = 0. What is m?
-3, 1
Suppose -35 - 61 = -6*o. Find r, given that o*r**4 - 32*r**2 - r**4 + 4*r + 16*r**2 + 3*r**3 + r**4 - 7*r**5 = 0.
-1, 0, 2/7, 1, 2
Let u(m) = 42*m - 1594. Let j be u(38). Determine l, given that 2/7*l**3 + 0 - 2/7*l + 2/7*l**j - 2/7*l**4 = 0.
-1, 0, 1
Let n(u) be the third derivative of u**8/1680 - u**7/350 + u**6/300 - 2*u**2 - 51. Find f, given that n(f) = 0.
0, 1, 2
Let p(t) be the first derivative of 8 - 6/5*t**5 + 0*t + 5/4*t**4 - 1/3*t**3 + 0*t**2. Suppose p(d) = 0. What is d?
0, 1/3, 1/2
Let h = 7667/2867340 + -2/6827. Let d(p) be the third derivative of 0 + 3*p**2 + 0*p**4 - 1/210*p**5 + 0*p**3 - h*p**6 + 0*p. Factor d(u).
-2*u**2*(u + 1)/7
Let c(d) = d**3 + 4*d**2 - 28*d - 4. Let v be c(-8). Let i = v + 39. Let 0 - 1/3*n**i + 1/6*n**2 + 1/3*n - 1/6*n**4 = 0. What is n?
-2, -1, 0, 1
Let g be (19/21 - 1)/(81/(-729)). Factor -2/7*s**2 - g*s - 4/7.
-2*(s + 1)*(s + 2)/7
Let y(o) = -10*o**2 - 66*o + 30. Let t be y(-7). What is m in -1/3*m**t - 1 + 4/3*m = 0?
1, 3
Let l be ((-63)/(-210))/(1 - -5). Let n(z) be the third derivative of 0*z**4 + 0*z + 2/3*z**3 + 0 - 5*z**2 - l*z**5 + 1/120*z**6. Factor n(r).
(r - 2)**2*(r + 1)
Suppose 0 = 43*n - 16*n - 2*n. Factor 0 + 1/3*w**5 - w**3 + 2/3*w**2 + 0*w + n*w**4.
w**2*(w - 1)**2*(w + 2)/3
Let u(a) = -a**4 + a**3 + 1. Let b(o) be the first derivative of 2*o**5 + 37*o**4/2 + 53*o**3 + 153*o**2/2 + 56*o + 7. Let f(s) = b(s) - 2*u(s). Factor f(c).
3*(c + 1)*(c + 2)*(2*c + 3)**2
Let a(o) be the third derivative of 0*o**3 + 0*o**5 + 0*o**4 - 1/630*o**7 + 47*o**2 - 1/72*o**6 + 0*o + 0. Factor a(j).
-j**3*(j + 5)/3
Let q = 8 - 6. Let f(c) = 6*c**2 - 11*c - 4*c**2 + 2*c**q + 4*c + 3. Let d(o) = 3*o**2 - 5*o + 2. Let t(l) = 7*d(l) - 5*f(l). Determine r, given that t(r) = 0.
-1, 1
Let c(p) be the second derivative of p**6/30 - 3*p**5/20 + p**4/12 + p**3/2 - p**2 + 45*p - 2. Factor c(y).
(y - 2)*(y - 1)**2*(y + 1)
Let l(p) be the second derivative of p**4/12 + 17*p**3/6 + 8*p**2 + 100*p. What is b in l(b) = 0?
-16, -1
Find a such that -1/5*a**2 - 126/5 - 27/5*a = 0.
-21, -6
Let y = -59/18 - -2107/360. Let b = -3/40 + y. Find m, given that -b*m**2 - 7/6*m - 13/6*m**3 - 2/3*m**4 - 1/6 = 0.
-1, -1/4
Let u = -2955 - -14777/5. Find z such that 4/5*z**2 + 0 - 2/5*z**4 + 0*z + u*z**3 = 0.
-1, 0, 2
Let q = -37826/75 + 1514/3. Let c(g) be the second derivative of 6*g - 7/75*g**6 + q*g**5 + 0 + 0*g**3 - 2/15*g**4 + 0*g**2. Factor c(z).
-2*z**2*(z - 2)*(7*z - 2)/5
Factor 20/7*v - 50/7 - 2/7*v**2.
-2*(v - 5)**2/7
Factor 12/19 - 2/19*x - 8/19*x**2 - 2/19*x**3.
-2*(x - 1)*(x + 2)*(x + 3)/19
Let h(g) = 5*g**5 + 2*g**4 - 15*g**3 - 32*g**2 + 40*g + 3. Let d(x) = -6*x**5 + 14*x**3 + 32*x**2 - 40*x - 4. Let q(a) = -3*d(a) - 4*h(a). Solve q(l) = 0 for l.
-5, -2, 0, 1, 2
Suppose -65*v - 970 = -1230. Factor 0 + 8*w**3 + 5/3*w**5 + 7*w**v + 0*w + 4/3*w**2.
w**2*(w + 2)**2*(5*w + 1)/3
Let j(p) be the first derivative of 14 + 92/51*p**3 + 2/17*p + 45/17*p**4 + 11/17*p**2 + 9/17*p**6 + 162/85*p**5. Factor j(z).
2*(z + 1)**2*(3*z + 1)**3/17
Let a be (-68)/50*5/(-4) - (-10)/(-20). Determine t so that -a*t + 0 - 3/5*t**4 + 0*t**3 + 9/5*t**2 = 0.
-2, 0, 1
Let n = -1178/7 - -3590/21. Factor -8/3*f**2 + 0 - n*f - 2/3*f**3.
-2*f*(f + 2)**2/3
Let w(m) be the first derivative of -m**5/6 - m**4/8 + 16*m**3/9 - m**2 + 58. Find g such that w(g) = 0.
-3, 0, 2/5, 2
Suppose -2*t = g + 8, -g = 2*g + 3*t + 12. Let r(j) be the second derivative of 0 + 0*j**2 + 2*j + g*j**4 - 1/30*j**5 + 1/45*j**6 + 0*j**3. Factor r(n).
2*n**3*(n - 1)/3
Let l be 0/(3/((-6)/(-4))). Suppose 3 = 3*j - u, 4*j - u - u = 6. Factor j*i**2 + 2*i + l*i + 2*i**2 - 2*i**4 - 2*i**3.
-2*i*(i - 1)*(i + 1)**2