4 - 1/15*y**5 + 0 + 2/3*y**3. Let j(p) be the first derivative of c(p). Factor j(l).
-4*(l - 1)*(l + 1)**2
Let q(s) be the second derivative of -s**4/3 + 8*s**3/3 - 89*s. Factor q(h).
-4*h*(h - 4)
Let p(w) be the second derivative of -36*w**5/35 - 116*w**4/7 - 110*w**3/3 + 700*w**2 - 98*w + 1. Factor p(d).
-4*(d - 2)*(6*d + 35)**2/7
Let i(j) = 3*j**2 + 21*j + 18. Let d = -9 - -16. Let g(z) = z**2 - d - 2 + z**2 - 10*z - 3*z**2. Let l(m) = -9*g(m) - 4*i(m). Let l(u) = 0. Calculate u.
-1, 3
Let c = -4945/33 - -461/3. Suppose -38/11*a + c*a**2 - 4/11 = 0. What is a?
-2/21, 1
Factor 0*h**3 - 2/11*h**4 + 0*h + 4/11*h**2 - 2/11.
-2*(h - 1)**2*(h + 1)**2/11
Let g = -1489 + 7477/5. Factor -g + 196/5*h**3 - 56*h**2 - 208/5*h.
4*(h - 2)*(7*h + 2)**2/5
Let l(s) be the second derivative of s**6/2 + s**5/2 - 20*s. Factor l(i).
5*i**3*(3*i + 2)
Let -115*a + 292*a**2 - 29*a - 8*a**3 - 8*a**3 + 8*a**3 = 0. What is a?
0, 1/2, 36
Let h(d) be the second derivative of 2*d**6/15 - 6*d**5/5 - 7*d**4/3 - 236*d. Suppose h(s) = 0. What is s?
-1, 0, 7
Factor s**2 - 4 + 56*s + 4 - 23*s - 27*s.
s*(s + 6)
Let m(d) be the second derivative of 13/60*d**6 - 1/24*d**4 - d + 0*d**3 - 1/7*d**7 + 0*d**2 + 0*d**5 + 1. Suppose m(o) = 0. Calculate o.
-1/4, 0, 1/3, 1
Let h(u) be the second derivative of u**7/147 + 2*u**6/105 - 2*u**5/35 - 4*u**4/21 + 6*u - 12. Let h(z) = 0. Calculate z.
-2, 0, 2
Solve 0*m**4 + 2/5*m**5 + 0 - 6/5*m**3 + 4/5*m**2 + 0*m = 0.
-2, 0, 1
Let f(d) be the third derivative of -d**5/60 - 5*d**4/6 - 6*d**3 + d**2 - 11*d. Factor f(x).
-(x + 2)*(x + 18)
Let o(a) = -7*a**2 - 191*a + 189. Let x(n) = 12*n**2 + 380*n - 377. Let v(p) = 5*o(p) + 3*x(p). Find y such that v(y) = 0.
-186, 1
Let s(u) = u**2 + u + 1. Let a(o) = 6*o**2 - 6*o - 15. Let n(i) = 3*a(i) - 21*s(i). Let n(p) = 0. Calculate p.
-11, -2
Let y(j) = -j - 2. Let t be y(-4). Let v(f) = f**2 - f. Let u be v(t). Determine d so that -3*d**4 - 3*d**4 + 6*d**u + 0 + 0 + 3*d - 3*d**5 = 0.
-1, 0, 1
Let q = -16933/5 - -3395. Determine c, given that 147/5 + 3/5*c**2 + q*c = 0.
-7
Let u be ((-6)/(-3))/((-12)/(-24)). What is c in -8*c**3 + 2*c**4 + 4*c**2 + 32*c - 32 + 0*c**3 - u*c**2 = 0?
-2, 2
Let d(p) be the second derivative of p**4/3 + 2*p**3 - 10*p - 6. Factor d(n).
4*n*(n + 3)
Suppose -42*x + 4*x**2 - 4*x + 56 - 14*x = 0. What is x?
1, 14
Let q(x) be the third derivative of x**6/600 - 73*x**5/150 + 5329*x**4/120 - 375*x**2. Let q(h) = 0. What is h?
0, 73
Let o = -35 - -2. Let a = o + 36. Factor -j**5 - j**5 - 5*j**4 + 0*j**2 - 3*j**a - j**3 - j**2.
-j**2*(j + 1)**2*(2*j + 1)
Let y(d) = 4*d**2 - 2*d + 1. Let t be y(2). Suppose 17*g - t = 21. Factor -1/4*v**g + 1/4 + 0*v.
-(v - 1)*(v + 1)/4
Let p(i) be the third derivative of i**6/360 + 7*i**5/180 + 7*i**4/36 + 4*i**3/9 - 6*i**2 - 2. Factor p(h).
(h + 1)*(h + 2)*(h + 4)/3
Let m(t) = -5*t**2 - 20*t + 21. Let v = 38 - 43. Let y(r) = 5*r**2 + 20*r - 20. Let l(z) = v*m(z) - 4*y(z). Determine h, given that l(h) = 0.
-5, 1
Let k(w) = -2*w + 14. Let l be k(7). Let m be (-1)/((-2)/(-3))*(l + -2). Solve -5/6*p**m + 4/3*p + 11/6*p**4 - 1/2*p**5 - 5/2*p**2 + 2/3 = 0 for p.
-1, -1/3, 1, 2
Let b = -58 - -79. Let q be 14/b + 51/45. Suppose 6/5 + 0*n**2 + q*n - 3/5*n**3 = 0. What is n?
-1, 2
Let o = -109 + 110. Let v(h) = -4*h**4 + 4*h**3. Let z(l) = -l**5 + l**4 + l**3 - l. Let i(g) = o*v(g) + 4*z(g). Let i(j) = 0. Calculate j.
-1, 0, 1
Let w(u) be the first derivative of -11*u**6/3 + 10*u**5/3 - u**4/3 - 268. Let w(p) = 0. Calculate p.
0, 1/11, 2/3
Let h(t) be the second derivative of t**6/10 - 3*t**5/10 - t**4/4 + t**3 + 7*t - 6. Let h(l) = 0. Calculate l.
-1, 0, 1, 2
Let x(d) be the second derivative of -d**6/120 + d**5/10 - d**4/8 - d**3/3 + 7*d**2/8 + 292*d. Factor x(r).
-(r - 7)*(r - 1)**2*(r + 1)/4
Suppose -x**3 - 4*x**4 + 2*x**5 - 4*x**2 - 2*x**2 - 12*x**3 + 3*x**3 + 2*x**4 = 0. What is x?
-1, 0, 3
Let y(z) = 43*z**2 - 100*z - 11. Let m(g) = -8*g**2 + 20*g + 2. Let l(t) = -11*m(t) - 2*y(t). Solve l(a) = 0.
0, 10
Let h(m) be the third derivative of m**6/300 - 79*m**5/150 - m**4/60 + 79*m**3/15 - m**2 + 27*m. Factor h(w).
2*(w - 79)*(w - 1)*(w + 1)/5
Let v = 1 - -1. Let f be (v/(-5))/(12/(-30)). Solve 1 - f + 2*y**3 - 3*y**3 = 0.
0
Let z = -218 + 218. Let s(c) be the second derivative of 0 - 1/4*c**4 + z*c**2 + 3*c - 1/2*c**3. Factor s(j).
-3*j*(j + 1)
Let t(s) = -s**2 - 70*s - 323. Let z be t(-5). Factor 9/2*v**4 + 5/2*v**3 + z*v**5 + 0*v**2 + 0*v + 0.
v**3*(v + 1)*(4*v + 5)/2
Let p be (9/(-36))/(3/(-60)). Let z be (-1)/(-10) + 2/p. Let -1/2*j**5 + 0*j**2 + 0 + 0*j + 0*j**3 - z*j**4 = 0. What is j?
-1, 0
Let b(l) be the second derivative of -l**8/2240 + l**7/420 + 3*l**4/4 + 21*l. Let h(m) be the third derivative of b(m). What is q in h(q) = 0?
0, 2
Let j be (2/18)/((-70)/1575*-5). Factor -3/2*w**2 - 5/2 - j*w**3 + 9/2*w.
-(w - 1)**2*(w + 5)/2
Let o be ((-48)/(-9) - 5)*(0 + 3). Let r(m) be the first derivative of 3/5*m - o + 1/5*m**3 - 3/5*m**2. What is k in r(k) = 0?
1
Let h be (14/6 + -1)*(-27)/(-12). Determine u so that 47*u**h - 4*u - 9*u**2 + 4*u**2 + 5*u**2 + 20*u**5 + 63*u**4 = 0.
-2, -1, -2/5, 0, 1/4
Let n(m) = 6*m**2 - 2*m - 1. Let k be n(-1). Suppose -k*b + 2*b = 0. Factor 4*w - 3*w**2 + b*w - 3*w - 4*w.
-3*w*(w + 1)
Let k = -360/91 - -57/13. Let f(y) be the second derivative of 1/42*y**4 - k*y**2 - 3*y - 2/21*y**3 + 0. Factor f(i).
2*(i - 3)*(i + 1)/7
Let s be (-24)/2 + 2208/176. Let s*j + 0*j**2 - 4/11 - 2/11*j**3 = 0. What is j?
-2, 1
Let l(n) be the first derivative of -n**4/14 - 2*n**3/21 + n**2/7 + 2*n/7 - 89. Find r, given that l(r) = 0.
-1, 1
Let n(r) be the third derivative of -4*r**7/735 + 17*r**6/420 + 8*r**5/105 - 5*r**4/84 + 17*r**2. Suppose n(t) = 0. Calculate t.
-1, 0, 1/4, 5
Let d(r) be the first derivative of -r**7/70 + r**5/4 - 2*r**3 - 15*r**2/2 - 41. Let a(x) be the second derivative of d(x). Suppose a(h) = 0. Calculate h.
-2, -1, 1, 2
Suppose -10 = 2*h + 5*y, 2*h - 1 - 1 = y. Factor h*l + 0*l + 2*l + 2*l**2 - 4*l**2.
-2*l*(l - 1)
Let m(k) be the first derivative of -k**3/6 + k**2/4 + 3*k + 71. Factor m(p).
-(p - 3)*(p + 2)/2
Let q(k) be the third derivative of 3*k**5/5 + k**4 + 2*k**3/3 - 77*k**2. Factor q(o).
4*(3*o + 1)**2
Let c(s) be the third derivative of -s**5/180 - 3*s**4/16 - 13*s**3/36 - 103*s**2. Factor c(h).
-(h + 13)*(2*h + 1)/6
Let y(g) be the second derivative of 1/15*g**5 + 0*g**2 + 0 + 1/18*g**4 + 20*g - 1/45*g**6 - 2/9*g**3. Factor y(r).
-2*r*(r - 2)*(r - 1)*(r + 1)/3
Let x(z) = -3*z**3 + 27*z**2 - z - 31. Let r(y) = 3*y**3 - 27*y**2 + 30. Let b(p) = 4*r(p) + 3*x(p). Factor b(u).
3*(u - 9)*(u - 1)*(u + 1)
Let x(a) = a**3 - 55*a**2 + 295*a - 44. Let p be x(49). Factor 0*c - 2/7*c**p + 6/7*c**4 + 2/7*c**2 + 0 - 6/7*c**3.
-2*c**2*(c - 1)**3/7
Let q(b) be the second derivative of 0*b**2 + 9/10*b**5 - 4/5*b**6 + 0 - 14*b + 3/14*b**7 + 0*b**4 - 1/2*b**3. What is m in q(m) = 0?
-1/3, 0, 1
Let v(o) be the second derivative of 24*o + 0*o**3 + 0 + 0*o**2 + 3/40*o**5 + 1/120*o**6 + 3/16*o**4. Factor v(c).
c**2*(c + 3)**2/4
Let o(q) be the second derivative of -q**10/6048 - q**9/756 - 5*q**8/1344 - q**7/252 - 17*q**4/12 - 14*q. Let g(j) be the third derivative of o(j). Factor g(r).
-5*r**2*(r + 1)**2*(r + 2)
Let r(y) = -55*y**2 + 370*y + 615. Let w(a) = 7*a**2 - 53*a - 88. Let t(v) = -2*r(v) - 15*w(v). Factor t(u).
5*(u + 2)*(u + 9)
Let d(k) be the second derivative of -5*k**4/6 + 3*k**3 + 19*k. Let g(a) = 3*a**2 - 6*a. Let m(x) = -4*d(x) - 14*g(x). What is y in m(y) = 0?
0, 6
Let y(a) = -2*a**2 - 3*a + 2. Let d(u) = u - 2. Let v be d(4). Let t(f) = f**2 + f - 1. Let i(c) = v*y(c) + 6*t(c). Factor i(r).
2*(r - 1)*(r + 1)
Let f be ((-117)/(-27))/((-7)/(-3) + -2). Suppose 5*d = 7 + f. Let 1/5*l**5 - 4/5*l**d + 0 + 1/5*l - 4/5*l**2 + 6/5*l**3 = 0. Calculate l.
0, 1
Suppose -19*v + 128 = 13*v. Let b(a) be the third derivative of 1/15*a**3 + 0 - 1/75*a**5 + 0*a**v + 0*a + 0*a**6 + 1/525*a**7 - 2*a**2. Factor b(x).
2*(x - 1)**2*(x + 1)**2/5
Let x(y) be the third derivative of y**5/270 - 61*y**4/27 + 14884*y**3/27 + 41*y**2 + y. Suppose x(l) = 0. Calculate l.
122
Factor 47/7*l - 90/7 - 1/7*l**2.
-(l - 45)*(l - 2)/7
Let q = -93 - -102. Let s be 1 - (q/(-21) - 0). Factor -2/7 + s*v**3 + 2*v - 22/7*v**2.
2*(v - 1)**2*(5*v - 1)/7
Find n s