 7*o**4/6 + 23*o**3/15 - 3*o**2. Factor v(c).
2*(c + 1)**3*(c + 23)/5
Let h(o) be the first derivative of o**6/2 + 384*o**5/5 - 783*o**4/2 + 788*o**3 - 1581*o**2/2 + 396*o - 43. Let h(s) = 0. What is s?
-132, 1
Let h(w) be the third derivative of -w**5/15 - 13*w**4/3 - 50*w**3/3 + 4*w**2 - 10. Factor h(r).
-4*(r + 1)*(r + 25)
Let a(m) be the first derivative of -3*m**5/5 + 3*m**4/2 + 7*m**3 - 30*m**2 + 36*m + 539. Factor a(p).
-3*(p - 2)**2*(p - 1)*(p + 3)
Factor -1/4*p**5 + 9/4*p**4 - 29/4*p**3 + 43/4*p**2 - 15/2*p + 2.
-(p - 4)*(p - 2)*(p - 1)**3/4
Let i(b) be the third derivative of -b**8/1176 + b**7/105 - 11*b**6/420 + b**5/42 - 240*b**2. Factor i(x).
-2*x**2*(x - 5)*(x - 1)**2/7
Solve 1/4*w**3 + 0 + 4*w + 5/2*w**2 = 0.
-8, -2, 0
Let n = -11834/5 - -2368. Solve 2*b + 2/5*b**2 + n - 2/5*b**3 = 0 for b.
-1, 3
Factor 36*t**3 - 15*t**3 - t**4 - 21*t**3 - t**5.
-t**4*(t + 1)
Let h(b) be the first derivative of -13 + 3/2*b**2 + 0*b**3 + 0*b - 3/4*b**4. Find f such that h(f) = 0.
-1, 0, 1
Let f be (-48)/(-12)*((-5 - -10) + (-17)/4). Factor -2/5*w**2 + 0 + 6/5*w**f - 4/5*w.
2*w*(w - 1)*(3*w + 2)/5
Let q(g) be the third derivative of g**8/504 + g**7/105 - g**6/20 + g**5/18 + 973*g**2. Factor q(u).
2*u**2*(u - 1)**2*(u + 5)/3
Suppose l + 4 = 2*l - m, 5*m = l - 8. Suppose c**2 + 2*c**4 - 2*c**2 + l*c**2 + 4*c**3 = 0. Calculate c.
-1, 0
Let s be ((4 - -8)/(-420))/((-7)/(-70)*-2). Factor 0 - s*h**2 + h.
-h*(h - 7)/7
Let j be ((-2)/4 + 2/(-20) + 0)*-5. Factor -30/7*b**2 - 2/7*b**j - 250/7 - 150/7*b.
-2*(b + 5)**3/7
Let l = -42 - -53. Suppose 26 + 33 - 53 + 4*x**3 + 3*x**2 + l*x**3 - 9*x**4 - 15*x = 0. What is x?
-1, 2/3, 1
Let s(t) = -t**2 - 16*t + 59. Let o be s(-19). What is w in -w**2 + 6*w - 6 + 16*w + 17*w + 24*w**3 - 65*w**o = 0?
1/4, 1/2, 2
Let g(o) be the first derivative of 22*o**3/3 - 12*o**2 - 40*o + 382. Suppose g(c) = 0. What is c?
-10/11, 2
Determine o so that 658*o**4 + 2*o**5 - 12*o**2 - 5*o**3 - 5*o**3 - 654*o**4 = 0.
-3, -1, 0, 2
Let x = 43/140 + -2/35. Find w such that 1/2*w**2 + 0*w**3 - x*w**4 + 0*w - 1/4 = 0.
-1, 1
Let t(p) be the second derivative of p**5/20 - 11*p**4/28 - 26*p**3/21 - 6*p**2/7 - p + 17. Let t(g) = 0. Calculate g.
-1, -2/7, 6
Let o(p) = -p**3 + 5*p**2 + 13*p + 7. Let q be o(7). Let m be (-1)/((q + -1)/12). Find b such that m*b + 5*b**2 + 12 + 7*b**2 - 16 + 8 + 4*b**3 = 0.
-1
Let b be ((-5 - -3)/(-8))/((-220)/(-4752)). Solve -18/5*h - b - 3/5*h**2 = 0 for h.
-3
Solve -4/3*q - 2 - 2/9*q**2 = 0.
-3
Let f(p) be the second derivative of 1/5*p**5 + 0*p**3 - 2/15*p**6 + 0*p**2 + 0 + 7*p + 2/3*p**4. Find a, given that f(a) = 0.
-1, 0, 2
Let a(h) be the third derivative of 0*h**3 - 1/15*h**5 + 0 + 2*h**2 - 1/6*h**4 + 0*h. Factor a(s).
-4*s*(s + 1)
Let g(m) be the second derivative of -3*m**5/20 - 11*m**4/4 + 25*m**3/2 - 39*m**2/2 + 226*m. What is q in g(q) = 0?
-13, 1
Determine a so that 11/2*a - 1/2*a**2 - 12 = 0.
3, 8
Suppose 13*h - 9*h = -k + 7, 5 = 4*h + 3*k. Let y(i) be the second derivative of 0*i**3 + 0*i**2 + 1/66*i**4 + 0 + h*i. Factor y(b).
2*b**2/11
Suppose 0 = -5*g - x + 3, 79*g - x + 3 = 75*g. Determine r, given that 0*r + g - 4/11*r**3 - 8/11*r**5 - 14/11*r**4 + 2/11*r**2 = 0.
-1, 0, 1/4
Let t(i) be the first derivative of -i**4/8 + 7*i**3/6 - 4*i**2 + 6*i - 105. Factor t(c).
-(c - 3)*(c - 2)**2/2
Let d(y) be the third derivative of 1/3*y**3 + 0*y + 17*y**2 + 0 + 3/8*y**4 + 1/15*y**5. Determine p so that d(p) = 0.
-2, -1/4
Suppose 2*h + 3*p = -2*h + 24, 3*h + 2*p - 17 = 0. Let t(n) be the first derivative of -14/5*n**5 - 19/2*n**4 + 4*n - 10*n**h - n**2 + 1. Solve t(f) = 0.
-1, 2/7
Let v be (-15)/12 + 98/8. Factor -v*p**3 + 6*p**3 - 2 + 15*p**4 - 25*p**2 + 8 + 4 + 5*p.
5*(p - 1)**2*(p + 1)*(3*p + 2)
Let a(y) be the third derivative of -y**8/112 + 3*y**7/35 + 2*y**6/5 + y**5/10 - 15*y**4/8 - 4*y**3 - 8*y**2 + 12*y. Determine n, given that a(n) = 0.
-1, 1, 8
Let y be 7/2 + (14/1)/(-28). Suppose h + 0*h = 2. Factor -h*p + 0*p**2 + 4/3 + 2/3*p**y.
2*(p - 1)**2*(p + 2)/3
Let q(s) be the second derivative of s**7/112 + 3*s**6/20 + 159*s**5/160 + 55*s**4/16 + 27*s**3/4 + 15*s**2/2 - 90*s. Find t, given that q(t) = 0.
-5, -2, -1
Factor -2370916 + 5*y**3 - 305021 - 1887428 + 141135*y - 1455*y**2.
5*(y - 97)**3
Let g(k) = -k**3 - 9*k - 8. Let u(a) = -4*a**3 - a**2 - 29*a - 25. Let j(i) = -21*g(i) + 6*u(i). Factor j(h).
-3*(h - 2)*(h + 1)*(h + 3)
Determine r so that 2/7*r**3 + 0*r + 0 + 20/7*r**2 = 0.
-10, 0
Suppose -2*l - 85 = -4*o + 3*l, 3*o = 2*l + 55. Suppose 0 = 5*c - 2*c - o. Factor 0*j**3 - j**3 - j**2 + 9*j**5 - 8*j**c + j**4.
j**2*(j - 1)*(j + 1)**2
Let c(k) = k**2 - k. Let p(w) = 3*w**3 - 13*w**2 + 4*w + 12. Let b(f) = 4*c(f) + p(f). Factor b(q).
3*(q - 2)**2*(q + 1)
Let c(b) be the second derivative of 5/42*b**3 + 2/7*b**2 + 1/84*b**4 + 0 + 25*b. Factor c(w).
(w + 1)*(w + 4)/7
Let x(c) be the third derivative of -c**6/420 + 5*c**5/21 - 625*c**4/84 - 107*c**2. What is b in x(b) = 0?
0, 25
Let w be 5 - 4 - 3/(-3). Let j(r) be the third derivative of 1/2*r**3 - 4*r**w + 0*r + 0 + 3/16*r**4 + 1/40*r**5. Factor j(f).
3*(f + 1)*(f + 2)/2
Let v be (-15)/(-18) + (-27)/54. Let j(f) be the first derivative of 1/6*f**2 - 1/12*f**4 - 9 - 1/9*f**3 + v*f. Factor j(b).
-(b - 1)*(b + 1)**2/3
Determine c, given that -191/8*c - 9/8*c**2 - 21/4 = 0.
-21, -2/9
Let v(f) be the first derivative of -f**6/39 + 16*f**5/65 - 21*f**4/26 + 28*f**3/39 + 20*f**2/13 - 48*f/13 + 232. Let v(t) = 0. What is t?
-1, 2, 3
Let l(b) be the second derivative of -b**8/2184 - 4*b**7/1365 - b**6/195 + b**2 + 16*b. Let t(g) be the first derivative of l(g). Solve t(r) = 0.
-2, 0
Let u be 3 + (-2 - 0) + 1020/(-1564). Find j, given that 14/23*j**2 - u*j - 4/23*j**3 + 0 - 2/23*j**4 = 0.
-4, 0, 1
Let n(i) be the second derivative of i**6/240 + i**5/80 - i**4/32 - i**3/6 - i**2/4 + 20*i - 2. Determine p so that n(p) = 0.
-2, -1, 2
Let h = 1843 + -9211/5. Factor 2/5*s**4 - h + 6/5*s**3 + 2/5*s**2 - 6/5*s.
2*(s - 1)*(s + 1)**2*(s + 2)/5
Let w(u) be the third derivative of -u**6/90 + u**4/6 + u**3/6 + u**2. Let v(r) be the first derivative of w(r). Factor v(k).
-4*(k - 1)*(k + 1)
Let b(k) = -k**2 + 10*k - 30. Let n(g) be the first derivative of -g + 5. Let a(w) = -b(w) + 5*n(w). Suppose a(p) = 0. What is p?
5
Let x(o) be the second derivative of 0*o**2 - 1/110*o**5 + 0*o**4 - 1/231*o**7 + 0*o**3 - 2/165*o**6 + 38*o + 0. Find p, given that x(p) = 0.
-1, 0
Let k(i) be the first derivative of -9*i**5/10 + 177*i**4/2 - 3120*i**3 + 42588*i**2 - 52728*i + 131. Factor k(t).
-3*(t - 26)**3*(3*t - 2)/2
Solve 0*m**2 + 0 + 1/8*m**3 - 1/2*m = 0.
-2, 0, 2
Let d(t) = -2*t - 2. Let z be d(2). Let o(q) = -4*q**2 - 11*q + 8. Let j(s) = -2*s**2 - 5*s + 4. Let h(v) = z*o(v) + 14*j(v). Factor h(u).
-4*(u - 1)*(u + 2)
Let f be 3/(-21)*(-138 + 103). Solve -8/7*t**f + 20/7*t**2 - 8/7 - 12/7*t + 20/7*t**3 - 12/7*t**4 = 0.
-2, -1, -1/2, 1
Let r = -565 + 2827/5. Let r*q**2 - 8/5 - 6/5*q = 0. Calculate q.
-1, 4
Let i(s) be the third derivative of -s**5/20 - s**4/8 + 10*s**3 + 3*s**2 + 23. Let i(c) = 0. Calculate c.
-5, 4
Factor 1/2 + 1/4*d**5 + 0*d**4 - 1/2*d**2 + 3/4*d - d**3.
(d - 2)*(d - 1)*(d + 1)**3/4
Let t(g) be the third derivative of -g**8/168 - g**7/15 + 3*g**6/10 - g**5/15 - 17*g**4/12 + 3*g**3 + 51*g**2. Factor t(v).
-2*(v - 1)**3*(v + 1)*(v + 9)
Let f = -3301 - -29711/9. Factor -2/3*i**3 + f*i**4 + 4/9*i**2 + 0*i + 0.
2*i**2*(i - 2)*(i - 1)/9
Let p(u) be the first derivative of -25 + u**2 - 1/2*u**4 - 2/3*u**3 + 0*u + 2/5*u**5. Factor p(r).
2*r*(r - 1)**2*(r + 1)
Let i be 8/(-40)*-2*100/45. Factor -i - 2/9*t**2 + 8/9*t.
-2*(t - 2)**2/9
Let z(j) = -2*j**2 - 201*j - 294. Let a be z(-99). Determine b, given that 2/15*b - 2/15*b**a + 0 + 0*b**2 = 0.
-1, 0, 1
Let t(s) be the third derivative of s**5/120 - 5*s**4/16 - 4*s**3/3 - 148*s**2. Determine d, given that t(d) = 0.
-1, 16
Factor 0*b + 18/13*b**3 - 14/13*b**4 + 0 - 4/13*b**2.
-2*b**2*(b - 1)*(7*b - 2)/13
Let t(k) be the third derivative of -k**7/420 - k**6/120 + k**5/40 + k**4/6 + k**3/3 + 84*k**2. Factor t(a).
-(a - 2)*(a + 1)**2*(a + 2)/2
Let i be (12/50)/((-168)/(-35) + -3). Let -16/15*x**2 + 2/3*x + i*x**5 + 4/5 - 4/5*x**3 + 4/15*x**4 = 0. What is x?
-3, -1, 1, 2
Suppose w - 22 = -0*w + 4*x, -67 = -4*w - 5*x. Suppose