et q(w) = -w**3 - 5*w**2 + 5*w + 2. Let y be q(-6). Let b = -5 + y. Factor 3*x**4 + 6*x**3 - 2*x + b - 6*x**4 - 4*x.
-3*(x - 1)**3*(x + 1)
Let h(j) be the second derivative of 2/39*j**4 - 8/39*j**3 + 0 + 1/65*j**5 - 1/195*j**6 - 28*j + 0*j**2. Factor h(k).
-2*k*(k - 2)**2*(k + 2)/13
Let g(s) be the second derivative of -28*s + 1/10*s**5 + 0 + 5*s**3 + 3/2*s**4 + 7*s**2. Let g(k) = 0. What is k?
-7, -1
Let j = -113 + 4521/40. Let v(l) be the third derivative of -j*l**5 + 0*l - 1/8*l**4 + 1/80*l**6 + 0*l**3 + 0 - 3*l**2. Factor v(n).
3*n*(n - 2)*(n + 1)/2
Let p = 74/171 + 2/171. Let r be (((-9)/(-2))/9)/(8/80). Factor 0 - p*g**4 + 0*g + 2/9*g**3 + 2/9*g**r + 0*g**2.
2*g**3*(g - 1)**2/9
Let x(s) be the first derivative of -s**4/32 + 41*s**3/24 - 399*s**2/16 - 441*s/8 + 221. Factor x(m).
-(m - 21)**2*(m + 1)/8
Suppose 4 = -20*c + 104. Let g(i) be the first derivative of -1/2*i**4 - 6 - i**2 + 1/2*i + i**3 + 1/10*i**c. Determine b, given that g(b) = 0.
1
Let b(u) be the third derivative of u**6/540 - u**5/54 + 2*u**4/27 - 4*u**3/27 - 169*u**2. Solve b(z) = 0 for z.
1, 2
Let g = 1 + 1. Let n be ((-12)/130)/(6/(-90)). Find r, given that 12/13*r - n - 2/13*r**g = 0.
3
Suppose 2/11*k**2 + 32/11 - 20/11*k = 0. What is k?
2, 8
Let u = -65 - -98. Determine n so that -4*n**3 - 4*n + 30*n**4 + 24*n**2 - u*n**3 - 4*n**5 - 3*n**5 - 6*n**3 = 0.
0, 2/7, 1, 2
Let g(s) be the third derivative of -s**7/140 + 3*s**6/40 - s**5/5 - 121*s**2. Factor g(n).
-3*n**2*(n - 4)*(n - 2)/2
Let p be ((-1)/1 - (-1 + 2)) + -70. Let h = p - -74. Let -1/7*r**3 + 1/7*r**h - 3/7*r**5 + 0*r + 0 - 5/7*r**4 = 0. Calculate r.
-1, 0, 1/3
Let q be 0 - 18*5/2. Let l be (-2 + -8)*9/q. Factor 0*k + 4*k + 4 - 4*k + 2*k - l*k**2.
-2*(k - 2)*(k + 1)
Let v be 343/14 - 1/(-2). Let y(n) = -8*n**4 - 3*n - 3. Let j(w) = 65*w**4 + 25*w + 25. Let h(k) = v*y(k) + 3*j(k). Suppose h(x) = 0. Calculate x.
0
Let r(n) be the first derivative of -3*n**4/4 + 4*n**3 + 33*n**2/2 + 18*n - 64. Factor r(c).
-3*(c - 6)*(c + 1)**2
Suppose 5*c = 2*w + 9, 26*w - 22*w - 18 = -2*c. Let k(x) be the third derivative of -1/18*x**c + 0*x + 0 - 1/108*x**4 + 2*x**2 + 1/540*x**5. Factor k(j).
(j - 3)*(j + 1)/9
Let j(t) = -4*t**4 + 24*t**3 + t**2 - 69*t + 48. Let p(y) = -2*y**4 + 12*y**3 - 34*y + 24. Let h(q) = -6*j(q) + 11*p(q). Factor h(i).
2*(i - 6)*(i - 1)**2*(i + 2)
Determine h, given that 8*h**5 + h**4 - 10*h**3 + 8*h**3 - 7*h**5 = 0.
-2, 0, 1
Find y such that -2/9*y**4 + 176/9*y + 52/9*y**3 + 0 - 184/9*y**2 = 0.
0, 2, 22
Let s = -3 + 6. Suppose -4 = -5*m + 4*m. Solve -6*a**2 - 6*a**5 - m*a**2 - a + 20*a**2 - 10*a**4 + 10*a**3 - s*a = 0 for a.
-2, -1, 0, 1/3, 1
Factor 28*h**2 - 72 + 577*h - 256*h - 286*h - 279*h.
4*(h - 9)*(7*h + 2)
Let o be (19 - 18)/(2/22). Find x, given that -11*x**5 + x**5 + 3*x**4 + x**2 + o*x**5 + 3*x**3 = 0.
-1, 0
Let l = -1/121 + 1951/1815. Let h(f) be the first derivative of 0*f - 1/2*f**4 - 2/25*f**5 - 4/5*f**2 - l*f**3 + 12. Suppose h(v) = 0. Calculate v.
-2, -1, 0
Let x = -19/10300 - -9/412. Let a(q) be the second derivative of 0*q**2 + 0*q**3 + 0 + x*q**5 - 1/30*q**4 + 11*q. Factor a(i).
2*i**2*(i - 1)/5
Factor -2/7*r**3 - 8/7*r + 0 + 1/7*r**5 + 12/7*r**2 - 3/7*r**4.
r*(r - 2)**2*(r - 1)*(r + 2)/7
Let f(x) = 5*x**2 - 90*x + 405. Let n(h) = 5*h**2 - 90*h + 405. Let s(o) = -3*f(o) + 4*n(o). Solve s(r) = 0 for r.
9
Let r(k) be the third derivative of -5*k**6/24 + k**5/6 + 92*k**2. Find p, given that r(p) = 0.
0, 2/5
Let k be 5 + -3 + 0 - (-6 - -5). What is p in k + 5*p**3 - 7*p**3 - 18*p**2 - 16*p - 3 = 0?
-8, -1, 0
Let -60*u**3 + 62*u**2 + 11600 - 11600 - 4*u**2 + 2*u**4 = 0. What is u?
0, 1, 29
Let o(n) be the first derivative of 3/20*n**4 + 0*n**2 + 1/5*n**3 + 0*n + 1. Factor o(b).
3*b**2*(b + 1)/5
Let v(g) be the second derivative of g**5/24 + 5*g**4/6 + 5*g**3/4 - 55*g**2/6 - 51*g + 1. Factor v(s).
5*(s - 1)*(s + 2)*(s + 11)/6
Let w = 832/669 - -20/223. Factor w + 2/3*a - 2/3*a**2.
-2*(a - 2)*(a + 1)/3
Let u be (-2 + 3 - 2)*-2. Solve 10*m**4 + 5*m**3 - 2*m**u - 3*m**2 - 4*m**5 - m**5 - 5*m**4 = 0 for m.
-1, 0, 1
Suppose 0 = l + 4*l - 5*h - 70, -4*l = -2*h - 52. Let u be (20/(-6))/((-2)/l). Suppose 3*c**2 + 5*c**3 - 2*c**3 + u*c - 3 - 23*c = 0. Calculate c.
-1, 1
Let x(w) be the first derivative of -1/15*w**3 + 1/5*w**2 - 1/5*w + 16. Factor x(q).
-(q - 1)**2/5
Let y(r) be the first derivative of -5*r**3/3 - 45*r**2/2 - 90*r + 18. Solve y(n) = 0.
-6, -3
Let v(s) be the first derivative of s**7/280 - s**6/60 + s**5/40 + 10*s**3/3 + 38. Let p(m) be the third derivative of v(m). What is n in p(n) = 0?
0, 1
Suppose -z + 9 = 7. Let r be (-1)/z*44/(-121). Suppose 4/11*a + 2/11*a**2 + r = 0. Calculate a.
-1
Let v(x) be the first derivative of x**4 - 20*x**3/3 - 50*x**2 + 500*x - 159. Factor v(s).
4*(s - 5)**2*(s + 5)
Let w(n) be the third derivative of 4/27*n**3 + 1/270*n**5 + 0 + 0*n + 1/27*n**4 + 23*n**2. Factor w(s).
2*(s + 2)**2/9
Let b(t) = 7*t**4 - 11*t**3 - 43*t**2 - 10*t + 10. Let z(h) = 3*h**4 - 6*h**3 - 21*h**2 - 6*h + 4. Let l(o) = -2*b(o) + 5*z(o). Factor l(m).
m*(m - 10)*(m + 1)**2
Factor b**3 + 5292*b + 6*b**3 - 3*b**3 - 20150 - 16894 - 252*b**2.
4*(b - 21)**3
Let n(y) = 5*y**3 + 158*y**2 + 108*y - 25. Let c(h) = -4*h**3 - 158*h**2 - 106*h + 24. Let s(t) = -5*c(t) - 6*n(t). Suppose s(a) = 0. Calculate a.
-15, -1, 1/5
Let r = 9559 - 9559. Factor r - o - 11/2*o**2.
-o*(11*o + 2)/2
Suppose 0 = -4*p - 33 + 41. Let -3*k + 8 + 63*k**p - 29*k**2 - 32*k**2 - 7*k = 0. What is k?
1, 4
Let z(r) be the third derivative of r**7/10 + r**6/8 - r**5/10 - 28*r**2. Factor z(g).
3*g**2*(g + 1)*(7*g - 2)
Suppose c - 3*h - 11 = 2*c, 0 = -2*c - 3*h - 7. Suppose -4*x + c = -j + 20, -5*j + 8 = -2*x. Factor -10/11*v**2 - 8/11*v**3 - 2/11*v**4 - 4/11*v + j.
-2*v*(v + 1)**2*(v + 2)/11
Suppose 2*c + 32 = -6*c. Let q be c/6 + (-30)/(-45). Factor 4/11*n**3 + 0 - 2/11*n + q*n**4 + 0*n**2 - 2/11*n**5.
-2*n*(n - 1)**2*(n + 1)**2/11
Let p(c) = -7*c**4 + 18*c**3 - 16*c**2 - 90*c + 105. Let z(u) = 4*u**4 - 9*u**3 + 7*u**2 + 45*u - 53. Let s(m) = -3*p(m) - 5*z(m). Solve s(a) = 0.
-2, 1, 5
Let y(j) be the third derivative of j**5/300 + j**4/5 - 461*j**2. Suppose y(l) = 0. Calculate l.
-24, 0
Let p be (-2*28)/4*-2. Let z be (14/p)/(1/6). Let -2*a**2 - 6/7*a**4 - 16/7*a**z - 4/7*a + 0 = 0. What is a?
-1, -2/3, 0
Let v = 1479/8 + -28493/152. Let s = v + 527/57. Factor s*d + 17/3*d**2 + 4/3 + 4/3*d**3.
(d + 2)**2*(4*d + 1)/3
Let z(p) be the first derivative of 2*p**3/3 + 7*p**2 + 27. Suppose z(d) = 0. Calculate d.
-7, 0
Let k = 1/1000 - -1499/1000. What is f in -k*f**2 - 9 + 21/2*f = 0?
1, 6
Factor -4/7*n - 12/7 + 1/7*n**2.
(n - 6)*(n + 2)/7
Let q(d) = 2*d**3 + 16*d**2 + 3*d. Let u(j) = -2*j**3 - 16*j**2 - 2*j. Let v(t) = -4*q(t) - 6*u(t). Factor v(w).
4*w**2*(w + 8)
Let p(a) be the third derivative of -a**7/1260 - a**6/90 - a**5/40 + a**4/8 + 114*a**2. Let p(t) = 0. What is t?
-6, -3, 0, 1
Let o = 17774/9 - 5924/3. Factor -8/9 - 8/9*r - o*r**2.
-2*(r + 2)**2/9
Factor -22*x**4 - 631 + 9*x**4 - 720*x - 48*x**3 - 282*x**2 - 44 + 10*x**4.
-3*(x + 3)**2*(x + 5)**2
Suppose 0*a + 8*a**3 - 30*a**2 - 12*a**2 - 3*a**4 - 29*a**3 - 24*a = 0. Calculate a.
-4, -2, -1, 0
Let f = -85/581 - -24/83. Let u = -4 - -29/7. What is k in 0*k + u - f*k**2 = 0?
-1, 1
Suppose -3*j + 5*k = -4*j + 32, 3*j - 5*k = -24. Suppose 1/4*y - 7/8*y**3 + 0 - 5/8*y**j = 0. Calculate y.
-1, 0, 2/7
Let l(i) be the second derivative of i**5/8 - 13*i**4/8 + 13*i**3/3 + 3*i**2 - 318*i. Factor l(y).
(y - 6)*(y - 2)*(5*y + 1)/2
Let p be 2 - 0 - (1 - 4). Let n(s) = -s**3 + 5*s**2 + 2*s - 6. Let z be n(p). Suppose -k**2 + 2 + z*k - 3 - 5 + 2 = 0. Calculate k.
2
Let i(o) = -44*o - 302. Let w be i(-7). Let s(c) be the second derivative of -1/10*c**4 + 2/5*c**2 + 0 + 1/75*c**w + 7*c - 1/15*c**3 + 1/50*c**5. Factor s(y).
2*(y - 1)**2*(y + 1)*(y + 2)/5
Suppose -10*x**2 - 50/13*x**3 + 58/13*x - 6/13 = 0. What is x?
-3, 1/5
Suppose -334*q**2 + 5760*q - 295*q**2 - 12960 + 5*q**3 - 264*q**2 + 1243*q**2 = 0. Calculate q.
-36, 2
Let u(s) = s**2 - 19*s + 36. Let p be u(17). Factor 6*i**2 - 64 - p*i**3 + 0*i**2 + 64.
-2*i**2*(i - 3)
Factor -32/7*o**4 - 4050/7 + 10260/7*o - 912/7*o**3 - 5778/7*o**2.
-2*(o + 15)**2*(4*o - 3)**2/7
Let b = 1517 + -101637/67. Let l = b - -258/335. Factor 