that -2/15*j**3 - 2/5*j**4 + 2/5*j**y + 4/15*j - 2/15*j**5 + 0 = 0.
-2, -1, 0, 1
Let x = -24 + 27. Suppose -4*w - x*j = -9*w + 26, -j - 14 = -3*w. Factor 5*q - 2 + 5 + 2*q - q**5 - 6*q**3 + 2*q**2 - 5*q**w.
-(q - 1)*(q + 1)**3*(q + 3)
Let l(s) be the third derivative of s**8/1120 - s**6/240 + s**3 + 5*s**2. Let o(u) be the first derivative of l(u). Factor o(b).
3*b**2*(b - 1)*(b + 1)/2
Suppose r = 2 - 0. What is d in -4 + 6 - 4*d**2 + r = 0?
-1, 1
Let k(s) be the third derivative of -5*s**7/252 - s**6/144 + 11*s**5/60 - 11*s**4/36 + 2*s**3/9 - 51*s**2. Suppose k(n) = 0. What is n?
-2, 2/5, 1
Let v(r) be the second derivative of r**8/26880 + r**7/10080 + r**4/2 + 11*r. Let w(y) be the third derivative of v(y). Factor w(i).
i**2*(i + 1)/4
Let u be (-1)/(-5 + 14/(-7)). Factor 1/7*p**3 + 1/7*p**2 + 0*p - u*p**4 + 0 - 1/7*p**5.
-p**2*(p - 1)*(p + 1)**2/7
Let b(o) be the third derivative of o**7/1680 - 79*o**6/960 + 19*o**5/6 + 25*o**4/3 + 98*o**2. Factor b(q).
q*(q - 40)**2*(q + 1)/8
Let d(q) be the third derivative of -1/30*q**5 + 0 + 0*q + 1/3*q**3 + 8*q**2 - 1/120*q**6 + 1/24*q**4. Factor d(x).
-(x - 1)*(x + 1)*(x + 2)
Let w = -2/73 + 302/365. Let b = 62/65 - w. Factor -b*a**3 - 2/13*a**2 + 0*a + 0 + 2/13*a**4 + 2/13*a**5.
2*a**2*(a - 1)*(a + 1)**2/13
Let d(k) be the first derivative of 52*k**3/9 - 10*k**2 + 8*k/3 - 168. Factor d(i).
4*(i - 1)*(13*i - 2)/3
Suppose -8 = w + 3*w, -3*b + 12 = 3*w. Factor b*i**5 + 9*i**2 - 7*i**2 - 9*i**4 + i**2.
3*i**2*(i - 1)**2*(2*i + 1)
Let q(f) be the first derivative of 8/15*f**3 + 2*f**2 - 1/5*f**4 - 43 - 24/5*f. Factor q(j).
-4*(j - 3)*(j - 1)*(j + 2)/5
Let n(x) be the second derivative of x**5/160 + 3*x**4/32 + 9*x**3/16 - x**2 - 10*x. Let t(q) be the first derivative of n(q). Solve t(m) = 0 for m.
-3
Let n be 11 + -11 + 2*3. Let u be n/(-8)*12*(-2)/45. Solve u*k**2 + 0 + 2/5*k = 0 for k.
-1, 0
Let j(b) be the first derivative of b**3/9 + b**2/6 - 4*b - 94. Factor j(r).
(r - 3)*(r + 4)/3
Let x(p) be the second derivative of 0 - 3/2*p**2 + 3/5*p**3 - 39*p - 1/20*p**4. Factor x(j).
-3*(j - 5)*(j - 1)/5
Let i be (3/9)/1*15. Let m(b) = -b**2 + 5*b + 2. Let u be m(i). Factor 4 - 2*g**2 + u*g**3 - 4*g**3 + 2*g**4 + 2*g - 4.
2*g*(g - 1)**2*(g + 1)
Let s = 42 - 10. Find r, given that s + 18*r + 7*r + 2*r**2 - 9*r = 0.
-4
Let r(n) be the first derivative of n**6/30 - 41*n**5/25 + 71*n**4/4 + 1321*n**3/15 + 704*n**2/5 + 484*n/5 - 123. Factor r(h).
(h - 22)**2*(h + 1)**3/5
Let r(n) be the third derivative of -1/280*n**7 + 3/80*n**5 + 0*n**3 + 0*n + 1/16*n**4 + 0 + 0*n**6 - 4*n**2. Factor r(j).
-3*j*(j - 2)*(j + 1)**2/4
Let x(n) be the first derivative of n**5/90 + n**4/18 + n**3/9 - 7*n**2 + 16. Let r(u) be the second derivative of x(u). Suppose r(j) = 0. What is j?
-1
Let w be 2 + 0 + -1 + 3. Suppose -9 = -3*r - 3. Suppose 4*o**r + 4*o - w + 0*o**3 + o**3 - 5*o**3 = 0. What is o?
-1, 1
Suppose -4*b + 24 + 1 = 3*w, -4 = 2*b - 4*w. Let -t**4 + 3*t**b - 4*t**4 + 2*t**2 = 0. What is t?
-1, 0, 1
Let o(y) be the first derivative of 0*y + 3/4*y**4 + 2*y**3 + 3/2*y**2 - 13. Factor o(w).
3*w*(w + 1)**2
Let l(p) = 15*p**3 + 7*p**2 + 3. Suppose -3*x + 8*x = -15. Let o(h) = h**3 - h**2 - 1. Let z(t) = x*o(t) - l(t). Find n, given that z(n) = 0.
-2/9, 0
Let v(r) = r**2 - r - 9. Let k be v(-3). Suppose k*b - 5*b = -28. Find w such that 4*w**3 - 3*w - b*w**2 + 3*w**3 + 9*w**2 + w = 0.
-2/7, 0, 1
Let s(g) be the second derivative of -g**6/60 - g**5/10 + 4*g**3/3 + 19*g**2/2 + 29*g. Let k(f) be the first derivative of s(f). Factor k(j).
-2*(j - 1)*(j + 2)**2
Let n(m) be the first derivative of -m**6/15 - 2*m**5/25 - 109. Find y, given that n(y) = 0.
-1, 0
Let g(l) be the second derivative of l**5/230 + 5*l**4/276 - 2*l**3/69 + 9*l**2/2 - 11*l. Let s(u) be the first derivative of g(u). Find b such that s(b) = 0.
-2, 1/3
Factor -7*r**2 + 33*r**2 + 72*r - 55*r**2 - 19*r**2 - 27.
-3*(4*r - 3)**2
Factor -56*f - 28/5*f**3 + 2/5*f**4 + 138/5*f**2 + 40.
2*(f - 5)**2*(f - 2)**2/5
Let o = -54 + 56. Let f(a) = -a**3 + 2*a**2 + a + 1. Let s be f(2). What is q in 8/3*q**s - 4/3*q - 4/3 - 4/3*q**4 + 8/3*q**o - 4/3*q**5 = 0?
-1, 1
Let v(x) be the first derivative of x**3/5 + 6*x**2 + 60*x - 103. Let v(s) = 0. What is s?
-10
Let u = -36 + 38. Let y(b) be the first derivative of 1/2*b**3 + 5 + 0*b + 3/4*b**u. Determine m, given that y(m) = 0.
-1, 0
Factor -12/7*f**2 + 0 + 3/7*f**3 + 9/7*f.
3*f*(f - 3)*(f - 1)/7
Let u(v) be the first derivative of -v**3/3 - 31*v**2 - 961*v - 86. Factor u(h).
-(h + 31)**2
Let c(o) be the third derivative of 0*o - 1/12*o**3 + 1/32*o**4 + 0*o**5 + 0 - 1/480*o**6 + 13*o**2. Factor c(j).
-(j - 1)**2*(j + 2)/4
Let h(a) be the third derivative of -1/168*a**8 - 1/10*a**5 + 0*a**3 + 1/35*a**7 - 1/60*a**6 + 0 + 1/6*a**4 - 23*a**2 + 0*a. Solve h(n) = 0.
-1, 0, 1, 2
Let t = 148 - 1034/7. Let d be (4/(-14) - (-252)/98) + -2. Factor -d + t*b**2 + 0*b.
2*(b - 1)*(b + 1)/7
Let o(k) be the first derivative of -k**3 - 81*k**2/2 + 174*k + 296. Factor o(b).
-3*(b - 2)*(b + 29)
Let w(b) be the first derivative of 2*b**3/27 + b**2 - 44*b/9 + 8. Solve w(n) = 0 for n.
-11, 2
Let r(m) be the second derivative of -m**4/12 + m**3/6 + 6*m**2 + 63*m. Factor r(k).
-(k - 4)*(k + 3)
Let b be ((-15)/(-6))/((-2)/(8/(-2))). Let m(d) be the third derivative of 1/12*d**4 + 1/30*d**b + 0*d + 0 - 3*d**2 - 2/3*d**3. Factor m(p).
2*(p - 1)*(p + 2)
Let f(l) = -l**3 - l**2 - l + 2. Let c(p) = 10*p**3 + 42*p**2 + 30*p - 76. Let u(g) = -c(g) - 6*f(g). Let u(h) = 0. Calculate h.
-8, -2, 1
Let u(w) be the second derivative of -w**7/20160 - w**6/960 + 13*w**4/12 + 4*w. Let m(v) be the third derivative of u(v). Factor m(l).
-l*(l + 6)/8
Suppose -471 + 465 = -2*y. Let d(l) be the first derivative of 2 - 3/2*l**2 - 2*l - 1/3*l**y. Factor d(v).
-(v + 1)*(v + 2)
Let f(d) be the first derivative of 1/18*d**4 - 2/45*d**5 - 5/9*d**2 + 4/9*d + 2/9*d**3 - 9. Suppose f(m) = 0. What is m?
-2, 1
Let d = 28 - 25. Factor 10*n**3 - 9*n**3 - 3*n**3 + 7*n**d + 5*n**4.
5*n**3*(n + 1)
Suppose 3*i - 9 = g, 0 = -3*g - 4*i + 24 + 14. Let m(o) be the first derivative of 5/3*o**4 + g - 50/3*o**3 - 1/15*o**5 + 250/3*o**2 - 625/3*o. Factor m(q).
-(q - 5)**4/3
Suppose 2*d - 5*f + 14 = 56, -5*d + 5*f = -75. Suppose -w = d*w - 24. Factor -3/2*m**3 + 0*m**w + 3/2*m + 0.
-3*m*(m - 1)*(m + 1)/2
Factor 3*c**2 - 12 - 9 + 34 - 1 + 12*c.
3*(c + 2)**2
Let g = -47 + -17. Let l = g + 66. Factor 1/4*x - 1/2*x**3 + 0 + 1/4*x**5 + 0*x**l + 0*x**4.
x*(x - 1)**2*(x + 1)**2/4
Let r = 44 + -41. Determine p, given that -37 - 22 + 19 - 30*p**2 + 60*p + 0*p**3 + 5*p**r = 0.
2
Let y(a) be the second derivative of a**6/6 - 3*a**5/4 - 5*a**4/3 + 161*a. Solve y(k) = 0 for k.
-1, 0, 4
Let p = 96 + -187/2. Let v be ((-9)/(-108)*5)/(1/3). Suppose p*s + 0 - v*s**2 = 0. Calculate s.
0, 2
Let w(k) = k - 4. Let d be w(6). Suppose -3*q + 2*a = 0, 4*q - 3*q + 2*a = 8. Factor -4 + 8*o + q*o**3 + d*o + 0*o - 8*o**2.
2*(o - 2)*(o - 1)**2
Suppose 0 = -5*h - 0*h + 10, p - 51 = 4*h. Factor -5*g + 64*g**2 + p*g**3 - 31*g**3 + 21*g.
4*g*(g + 2)*(7*g + 2)
Factor 0*m**3 - m**4 - 6*m**3 - m**4 + 28*m**2 - 59*m + 83*m - 80.
-2*(m - 2)**2*(m + 2)*(m + 5)
Let g = -5590 + 16774/3. Determine t so that -2/3*t**4 + 2/3 + 4/3*t - g*t**3 + 0*t**2 = 0.
-1, 1
Let n(c) = c**2 + 9*c - 68. Let t be n(5). Let h = 7 - 5. Factor 12 - 8*z**t + 18*z**h - 3*z**3 - 19*z**2.
-3*(z - 1)*(z + 2)**2
Let a(u) be the first derivative of u**4/2 - 28*u**3/9 - 5*u**2/3 - 593. Factor a(f).
2*f*(f - 5)*(3*f + 1)/3
Let w(g) be the first derivative of g**8/336 - g**7/210 - g**6/120 + g**5/60 + 21*g**2/2 + 35. Let d(z) be the second derivative of w(z). Factor d(a).
a**2*(a - 1)**2*(a + 1)
Let u(v) = 2*v**2 + 36*v - 38. Let g be u(-19). Let m(p) be the second derivative of -3*p + g + 0*p**5 + 0*p**2 + 1/30*p**4 + 0*p**3 - 1/75*p**6. Factor m(i).
-2*i**2*(i - 1)*(i + 1)/5
Factor 164/9*d - 2*d**2 - 14/9*d**3 + 16/3.
-2*(d - 3)*(d + 4)*(7*d + 2)/9
Solve -74/11*f**2 + 10/11*f**3 - 48/11 + 148/11*f = 0 for f.
2/5, 3, 4
Let l(r) be the third derivative of -r**5/270 - 7*r**4/108 - 10*r**3/27 + 4*r**2 + r. Factor l(b).
-2*(b + 2)*(b + 5)/9
Factor -1/4*q**2 - 15/4*q - 7/2.
-(q + 1)*(q + 14)/4
Factor 3/5*g**3 - 9*g + 6/5*g**2 - 108/5.
3*(g - 4)*(g + 3)**2/5
Let p(x) be the seco