e third derivative of -y**6/40 - 31*y**5/20 - 28*y**4 + 128*y**3 + 361*y**2. Factor t(g).
-3*(g - 1)*(g + 16)**2
Let y(i) be the second derivative of i**7/14 + 8*i**6/5 + 291*i**5/20 + 139*i**4/2 + 190*i**3 + 300*i**2 - 44*i + 5. Factor y(u).
3*(u + 2)**3*(u + 5)**2
Let w(j) be the third derivative of -j**8/4032 + j**7/336 - j**6/72 - 23*j**5/60 + 7*j**2. Let g(s) be the third derivative of w(s). Solve g(z) = 0 for z.
1, 2
Let z(f) be the third derivative of f**6/90 + f**5/45 - 5*f**4/9 + 16*f**3/9 - 10*f**2 - 13. Determine j, given that z(j) = 0.
-4, 1, 2
Factor 1/3*n**4 - 2/3*n**3 - 8/3*n**2 + 6*n - 3.
(n - 3)*(n - 1)**2*(n + 3)/3
Let o(p) be the first derivative of p**4/20 - 16*p**3/15 - 7*p**2/2 - 18*p/5 + 99. Factor o(x).
(x - 18)*(x + 1)**2/5
Let i be (-60)/2*(-4)/6. Suppose -3*o - i = -8*o. Factor u**4 + 0*u + 5*u**o - 6*u**2 - 2*u + 2*u**3.
2*u*(u - 1)*(u + 1)*(3*u + 1)
Let c(k) be the third derivative of -k**7/1260 - k**6/120 + 31*k**4/24 - 20*k**2. Let y(s) be the second derivative of c(s). Factor y(j).
-2*j*(j + 3)
Suppose 0*o - 3*h + 7 = -o, h = o + 1. Factor -2*g**o + 15 + 11*g + g - g**2.
-3*(g - 5)*(g + 1)
Let s(x) be the second derivative of x**4/4 - 3*x**3 - 21*x**2/2 + 232*x. Factor s(v).
3*(v - 7)*(v + 1)
Let g(w) be the first derivative of -w + 6 - 1/10*w**5 - 5/8*w**4 - 3/2*w**3 - 7/4*w**2. What is r in g(r) = 0?
-2, -1
Let b(y) = y**3 - 46*y**2 + 307*y - 109. Let l be b(38). Let -8/15*n + 4/15*n**4 - 14/15*n**l + 0 + 14/5*n**3 + 16/15*n**2 = 0. What is n?
-1, 0, 2/7, 2
Let x = -163 - -166. Solve 0 - 2/7*i**4 + 2/7*i**2 + 0*i**x + 0*i = 0.
-1, 0, 1
Let c be 12/((-192)/(-332)) + 4/(-2). Factor 1/4*w**3 - 125/4 - 15/4*w**2 + c*w.
(w - 5)**3/4
Find j such that 324/7 + 4*j**4 - 2/7*j**5 + 432/7*j**2 - 594/7*j - 156/7*j**3 = 0.
2, 3
Let d(a) = -a**3 - 2*a**2 - 5*a. Let k(r) = 4*r**3 - 11*r**2 - 47*r - 28. Let t(p) = 3*d(p) + 3*k(p). Factor t(n).
3*(n - 7)*(n + 2)*(3*n + 2)
Let o be ((-5328)/7400)/((-1)/((-2)/2*-5)). Solve -33/5*m + 28/5*m**2 - o - m**3 = 0.
-2/5, 3
Let m(f) be the second derivative of -2*f**6/15 - 27*f**5/5 - 31*f - 2. Factor m(k).
-4*k**3*(k + 27)
Let s(c) be the first derivative of -9*c**5/40 + 51*c**4/32 + c**3 - 9*c**2/4 - 72. Solve s(o) = 0 for o.
-1, 0, 2/3, 6
Let m(u) be the second derivative of 0*u**4 + 0*u**3 + 0 - 11/2*u**2 + 9*u - 1/90*u**5. Let o(r) be the first derivative of m(r). Factor o(l).
-2*l**2/3
Let j(s) = -7*s**4 - 25*s**3 + 72*s**2 - 77*s + 25. Let z(h) = -64*h**4 - 228*h**3 + 648*h**2 - 692*h + 224. Let x(c) = -28*j(c) + 3*z(c). Factor x(b).
4*(b - 1)**3*(b + 7)
Let s(j) be the third derivative of -j**9/151200 + j**7/12600 + j**5/30 + 3*j**2. Let g(h) be the third derivative of s(h). Determine o so that g(o) = 0.
-1, 0, 1
Let v(s) be the third derivative of s**8/24 + 64*s**7/315 - 11*s**6/36 - 13*s**5/9 + 31*s**4/9 - 8*s**3/3 + 50*s**2 + 1. Determine d so that v(d) = 0.
-3, -2, 2/7, 2/3, 1
Suppose 0 + 16/7*b**2 + 2/7*b**4 - 10/7*b**3 - 8/7*b = 0. Calculate b.
0, 1, 2
Let x(z) = 6*z**5 + 36*z**4 + 54*z**3 - 16*z + 16. Let b(v) = 2*v**5 + 12*v**4 + 18*v**3 - 5*v + 5. Let h(n) = -16*b(n) + 5*x(n). Factor h(q).
-2*q**3*(q + 3)**2
Let c(b) be the first derivative of -5*b**3/3 + 105*b**2 + 215*b + 535. Factor c(v).
-5*(v - 43)*(v + 1)
Let k be ((-3)/30)/(7/(-350)). Factor 0*i + 0 - 3/7*i**3 + 0*i**2 + 0*i**4 + 3/7*i**k.
3*i**3*(i - 1)*(i + 1)/7
Let k = -52411 + 52413. Suppose -2/11*d**k - 4/11*d - 2/11 = 0. What is d?
-1
What is k in -32*k - 20 - 25 + 25 - 2*k**2 - 10 = 0?
-15, -1
Let x(l) be the first derivative of l**6/360 - 13*l**5/120 + l**4/2 + 4*l**3 - 21. Let c(g) be the third derivative of x(g). Factor c(y).
(y - 12)*(y - 1)
Let c(q) = q**3 + 12*q**2 - q - 16. Let j be c(-12). Let x be (-4 - 2/j) + 5. Determine k so that 0*k + 27/4*k**4 + x*k**5 + 9*k**3 + 3*k**2 + 0 = 0.
-2, -1/2, 0
Let a(g) = 12*g**2 + 2*g - 5. Let v be a(-4). Determine o, given that -5*o**2 + v + 21*o + 9*o - 204 = 0.
1, 5
Factor -10/3*y + 4/3 - 2/3*y**3 + 8/3*y**2.
-2*(y - 2)*(y - 1)**2/3
Let i be (10*1)/(7/28). Let w = 57 - i. Factor 5*l**2 - 5*l + 8*l - w*l**2.
-3*l*(4*l - 1)
Suppose 20/3*s**2 - 2/3*s**4 + 0 - 2/3*s**3 - 16/3*s = 0. Calculate s.
-4, 0, 1, 2
Let i(s) = 4*s**3 - s**2 - 4*s + 8. Let v be -12*(21/4)/3. Let x = v - -25. Let f(k) = 2*k**3 - 2*k + 4. Let y(d) = x*i(d) - 7*f(d). Factor y(h).
2*(h - 2)*(h - 1)*(h + 1)
Let n(g) = 14*g**2 - 10*g. Let p(f) = -2*f**2 + f - 1. Let c(a) = -n(a) - 6*p(a). Factor c(b).
-2*(b - 3)*(b + 1)
Factor -3*c**2 + 49/2 + 21/4*c + 1/4*c**3.
(c - 7)**2*(c + 2)/4
Factor -2*a**3 + 2*a - 795*a**2 - 2 + 399*a**2 + 398*a**2.
-2*(a - 1)**2*(a + 1)
Let r = 6 - 27. Let j be (r/(-5))/(3/15). Suppose -j*m**2 - 5*m - m + 0*m - 15*m**3 = 0. Calculate m.
-1, -2/5, 0
Let w(y) be the first derivative of y**7/14 + 5*y**6/12 + y**5/3 - 5*y**4/3 + 13*y**2 + 39. Let k(l) be the second derivative of w(l). Factor k(h).
5*h*(h + 2)**2*(3*h - 2)
Let o = 1 + 1. Suppose 0 = -o*d - 2*d - 2*i + 8, -3*i = d + 3. Factor -5*s**2 - 3*s**2 - 32*s**4 - 27*s**3 - 12*s**5 - s**d.
-4*s**2*(s + 1)**2*(3*s + 2)
Let z = -28 + 31. Let 3*k**3 + 4*k**z + 3*k**3 - 5*k**3 + 5*k**4 - 5*k**2 - 5*k**5 = 0. What is k?
-1, 0, 1
Let m be 10/(-15)*-21 - (-4 + 3). Let u be ((-12)/m)/((-1)/2). Determine h, given that -3/5*h**4 - 12/5*h - 17/5*h**3 + u - 6*h**2 = 0.
-2, 1/3
Let t(w) be the second derivative of -2*w**3 + 3/5*w**5 - 3*w + 1/15*w**6 + 0*w**2 - 1/6*w**4 + 0. Factor t(q).
2*q*(q - 1)*(q + 1)*(q + 6)
Let w(s) = -s**3 + 6*s**2 + 8*s. Let z be w(4). Let k be z/10*(2 + (-18)/12). What is m in 2/5*m**2 + 32/5 + k*m = 0?
-4
Let y(h) be the first derivative of 17/12*h**4 + 11/6*h**2 - 2/3*h + 21 - 1/3*h**5 - 7/3*h**3. Factor y(b).
-(b - 1)**3*(5*b - 2)/3
Let x(q) be the second derivative of 0*q**2 + 2/15*q**6 - 20*q - 6*q**3 + q**5 + 0 + q**4. Find u, given that x(u) = 0.
-3, 0, 1
Suppose 10*x - 16*x**2 - 2451 + 4*x**3 + 10*x + 2443 = 0. What is x?
1, 2
Let c be 176/6 - (-3)/(45/10). Let s = c + -27. Factor -3/4*o**2 + 3*o - s.
-3*(o - 2)**2/4
Let n(s) be the first derivative of -4/3*s**3 - 16*s - 3*s**4 - 18 + 16*s**2. Find d such that n(d) = 0.
-2, 2/3, 1
Let c(g) be the first derivative of -3/8*g**4 + 8 + 1/20*g**6 + 5/4*g**3 - 3/2*g**2 - 3/40*g**5 + 6*g. Let u(h) be the first derivative of c(h). Factor u(t).
3*(t - 1)**3*(t + 2)/2
Let o be (-5 + 4)*((-6)/(-4) + -2). Let z(j) be the second derivative of 0*j**4 + 1/3*j**3 + j + o*j**2 + 0 - 1/30*j**6 - 1/10*j**5. Factor z(r).
-(r - 1)*(r + 1)**3
Let r = 8851 - 318599/36. Let u = r + -5/18. Let 3/2*i + 3/4*i**4 - 3/2*i**3 - u + 0*i**2 = 0. What is i?
-1, 1
Let i(y) be the first derivative of -45*y**5/8 - 5*y**4/32 + 77*y**3/12 + 17*y**2/4 + y + 49. Find n, given that i(n) = 0.
-2/5, -2/9, 1
Factor -5/2*o**3 - 7/2*o**2 + 14*o + 6.
-(o - 2)*(o + 3)*(5*o + 2)/2
Let w(l) be the second derivative of -l**8/8400 + l**7/2100 + 7*l**6/1800 + l**5/150 + 2*l**3 - 2*l. Let n(b) be the second derivative of w(b). Factor n(k).
-k*(k - 4)*(k + 1)**2/5
Let a = 119 + -108. Factor -2*r - 3 + 4 + 8*r**2 + 4*r**2 - a*r**2.
(r - 1)**2
Suppose 4*w = 189 + 1155. Let r = w + -5036/15. Let 2/15*h**2 + 0 + r*h = 0. Calculate h.
-2, 0
Let f(o) be the first derivative of -o**8/336 + o**7/168 + 7*o**3 + 3. Let i(l) be the third derivative of f(l). Suppose i(s) = 0. What is s?
0, 1
Let p(y) be the second derivative of y**5/30 - 31*y**4/18 + 58*y**3/9 + y + 272. Factor p(b).
2*b*(b - 29)*(b - 2)/3
Let j(o) = -o**2 - 6*o + 8. Let z be j(4). Let n = z - -36. Factor 1/2*d**n + 128 - 8*d**3 - 128*d + 48*d**2.
(d - 4)**4/2
Let b be (-3)/(-45)*12 - 152/665. Factor 8/7*q + 4/7*q**2 + b.
4*(q + 1)**2/7
Let m(w) be the third derivative of -w**8/784 + 3*w**7/245 - 3*w**6/70 + 2*w**5/35 + 28*w**2. Determine h, given that m(h) = 0.
0, 2
Let q be (15/20)/((-30)/(-80)). Let x be 5 + -2 - (-5)/10*q. Solve 0 - 1/8*c**5 + 0*c**3 + 0*c**2 + 0*c - 1/8*c**x = 0.
-1, 0
Let p = 533/1792 + -3/256. What is s in 2/7*s**3 + p*s**2 - 2/7*s - 2/7 = 0?
-1, 1
Suppose -3*b + 9 = 0, 5*s - 22 = -2*b - 2*b. Determine o so that 2*o**s + 1 + 7 - 10*o + 46*o + 26*o**2 = 0.
-1, -2/7
Let h(b) be the first derivative of -2*b**7/735 + 3*b**6/70 - 9*b**5/35 + 9*b**4/14 + 7*b**2/2 - 4. Let m(l) be the second derivative of h(l). Solve m(n) =