 third derivative of 1/20*a**5 + 0*a + 0*a**3 + 0*a**4 + 9*a**2 + 0 + 1/40*a**6. Factor n(v).
3*v**2*(v + 1)
Let g(c) be the third derivative of -c**8/1680 + c**7/420 - c**5/60 - 5*c**4/24 - 3*c**2. Let x(r) be the second derivative of g(r). Let x(o) = 0. Calculate o.
-1/2, 1
Let x(w) be the second derivative of 2*w**6/15 - w**5/10 - w**4/2 + w**3/3 + w**2 - 20*w. Suppose x(p) = 0. Calculate p.
-1, -1/2, 1
Let g be ((-20)/(-30))/((-2)/(-3)). Let t(u) be the first derivative of -2/21*u**3 - g + 0*u**2 + 0*u. Solve t(n) = 0 for n.
0
Suppose 50*q**2 + 19*q**4 + 11*q + 4*q + 60*q**3 + 5*q**5 + 11*q**4 = 0. What is q?
-3, -1, 0
Let t(u) = -3*u**3 + 20*u. Let d(q) = q**3 - 7*q. Let z(r) = r**2 - 5*r + 6. Let n be z(5). Let p(v) = n*t(v) + 17*d(v). Factor p(c).
-c*(c - 1)*(c + 1)
Let x(k) = k - 4. Let a = 10 - 2. Let s be x(a). Factor -4*p + s*p - 4*p**3 - 10*p**4.
-2*p**3*(5*p + 2)
Let u = 19 - 1. Let j be u/(-117) + 41/13. Solve 0*b + 0 - 2/3*b**5 + 4/3*b**4 + 0*b**2 - 2/3*b**j = 0.
0, 1
Let v = 72/35 - 813/140. Let o = v - -49/12. What is c in 0 - o*c - 1/3*c**2 = 0?
-1, 0
Let u(t) be the first derivative of 5*t**4/8 + 5*t**3/2 - 5*t**2/4 - 15*t/2 - 14. Find c, given that u(c) = 0.
-3, -1, 1
Let b(f) be the third derivative of -1/35*f**7 + 0*f - 2*f**2 + 0*f**4 - 1/120*f**5 + 0 - 13/480*f**6 + 0*f**3 - 3/448*f**8. What is r in b(r) = 0?
-2, -1/3, 0
Let d = -1/8451162 + 4081912441/10099138590. Let g = d + -1/239. Factor g*b**2 - 6/5 - 4/5*b.
2*(b - 3)*(b + 1)/5
Determine d, given that -15*d + 39*d - 80*d**2 + 36*d + 35*d**3 - 5*d**4 = 0.
0, 2, 3
Let t(l) be the third derivative of -l**7/525 + l**6/100 - l**5/50 + l**4/60 + l**2. Factor t(c).
-2*c*(c - 1)**3/5
Let h be 2/((-6)/9*-1). Determine l so that -2*l**2 + l**2 - l + 2*l**3 + 7*l**h + 9*l**4 = 0.
-1, -1/3, 0, 1/3
Let y = -32 - -46. Let o = y - 10. Factor -3/2*z**o + 1/2*z**5 + z**3 - 3/2*z + 1/2 + z**2.
(z - 1)**4*(z + 1)/2
Let u(w) = -2*w**4 + w**3 - 3*w**2 - 7*w - 1. Let d(g) = 4*g**4 - 3*g**3 + 5*g**2 + 13*g + 1. Let a(f) = -3*d(f) - 5*u(f). Find y such that a(y) = 0.
-1, 1
Let d be (-8)/(-6)*21/(-14). Let m be (-8)/8*d/6. Factor -h**2 + h - 1/3 + m*h**3.
(h - 1)**3/3
Suppose -4 - 28/5*m**2 + 4/5*m**3 + 44/5*m = 0. Calculate m.
1, 5
Let v = -8621/3 - -2767. Let f = v + 108. Factor -2/3*t + 2/3*t**2 - f.
2*(t - 2)*(t + 1)/3
Let n be ((-1)/(-5))/((-58)/(-145)). Factor 1/2*k**2 + 0 - k**3 + 0*k + n*k**4.
k**2*(k - 1)**2/2
Let t(p) be the third derivative of -p**7/2520 + p**6/360 - p**5/120 - p**4/6 - p**2. Let m(u) be the second derivative of t(u). Factor m(x).
-(x - 1)**2
Let k(n) be the first derivative of -n**3/3 - 4*n**2 - 7*n + 4. Determine o, given that k(o) = 0.
-7, -1
Let s(p) be the first derivative of -5*p**6/6 + p**5 + 5*p**4/4 - 5*p**3/3 + 15. What is t in s(t) = 0?
-1, 0, 1
Let j be (-78)/13 + (-8)/(-6). Let m = -47/12 - j. Factor 3/4*y**2 - m*y + 1/4 - 1/4*y**3.
-(y - 1)**3/4
Let h(w) = w. Let c be h(2). Let o(q) be the second derivative of -1/15*q**5 + 0*q**c + 1/9*q**3 - q - 1/18*q**4 + 0. Find z such that o(z) = 0.
-1, 0, 1/2
Let v(y) be the third derivative of -y**7/735 + y**5/210 + y**2. Solve v(a) = 0.
-1, 0, 1
Suppose 11*b = 71 - 49. Factor 2/7*a**3 + 1/7*a - 3/7*a**b + 0.
a*(a - 1)*(2*a - 1)/7
Suppose 0 = -5*w + 2*o + 28, 0 = -0*w - w - 3*o - 8. Factor 13*j**3 - 10*j**w + 4*j**4 - 93*j**5 + 94*j**5 + 4*j + j**2 - 13*j**2.
j*(j - 2)**2*(j - 1)**2
Let z = -594 + 386. Let n be -1 + 0 + (-272)/z. Factor 2/13*y**2 + n + 6/13*y.
2*(y + 1)*(y + 2)/13
Suppose 6*l - 85 = -7. Let c = l - 10. Factor 1/5*a + 0 + 7/5*a**2 + 9/5*a**4 + c*a**3.
a*(a + 1)*(3*a + 1)**2/5
Let w(b) be the third derivative of -b**7/252 - b**6/240 + b**5/180 + 8*b**2. Factor w(k).
-k**2*(k + 1)*(5*k - 2)/6
Let l(i) be the third derivative of 0*i**4 + 0*i**6 + 0*i + 2*i**2 - 1/840*i**7 + 1/120*i**5 + 0 - 1/24*i**3. Factor l(u).
-(u - 1)**2*(u + 1)**2/4
Let k be ((-144)/135 - -1)/(1/(-6)). Factor -6/5 + k*a**2 + 4/5*a.
2*(a - 1)*(a + 3)/5
Solve 19*p**4 + 9*p**5 + 33*p**4 + 72*p**3 - 33*p - 18 + 18*p**2 - 4*p**4 = 0.
-3, -1, 2/3
Let x be -2*(-2)/12 + (-670)/(-1608). Suppose -x*n**4 + 3/4*n**2 + 0*n**3 + 0*n + 0 = 0. What is n?
-1, 0, 1
Let o = 11 - 4. Let v(m) be the third derivative of 0 - 1/120*m**6 - 2*m**2 + 0*m + 1/24*m**4 + 1/12*m**3 - 1/420*m**o + 0*m**5. Factor v(j).
-(j - 1)*(j + 1)**3/2
Suppose 2*x = -3*s, 3*x - 1 = s + 10. Find a, given that 15*a**2 - 15*a**2 - 4*a**x + 4*a = 0.
-1, 0, 1
Let o(k) be the second derivative of -k**4/6 - 2*k**3 - 9*k**2 - k. Factor o(u).
-2*(u + 3)**2
Let w be 20/6 + (-18)/(-27). Let v(h) be the third derivative of 0 + 0*h + 1/240*h**5 + 0*h**3 - h**2 + 1/48*h**w. Determine n so that v(n) = 0.
-2, 0
Solve 2 - 2/5*n**3 + 6/5*n**2 + 18/5*n = 0.
-1, 5
Let b = -147 - -738/5. Suppose -4/5*j**5 - 1/5*j + b*j**3 + 0 + 2/5*j**2 - 4/5*j**4 = 0. Calculate j.
-1, 0, 1/2
Let o(v) = v**3 - 5*v**2 + v - 3. Let d be o(5). Solve 0*h**d + 3/2*h - 1 - 1/2*h**3 = 0 for h.
-2, 1
Let a(u) be the first derivative of -u**3/6 - u**2/8 + u/4 - 6. Let a(w) = 0. What is w?
-1, 1/2
Let l(b) be the third derivative of -b**6/54 - b**5/20 - b**4/18 - b**3/6 - 2*b**2. Let o(w) be the first derivative of l(w). Factor o(i).
-2*(2*i + 1)*(5*i + 2)/3
Let a be (-3)/(-3 - -2) + -1. Factor -10*g + 22*g**2 - 20*g**a + 32 + 26*g.
2*(g + 4)**2
Let v(r) be the third derivative of r**10/50400 + r**9/11520 + r**8/13440 - r**7/6720 + r**5/60 - 2*r**2. Let s(z) be the third derivative of v(z). Factor s(k).
3*k*(k + 1)**2*(4*k - 1)/4
Suppose 4 = -3*u + 10. Let a be (2/5)/(2/10). Suppose -4*p - 4*p**2 + a*p**u + 1 - 3 = 0. What is p?
-1
Let h(a) be the first derivative of a**6/1260 + 2*a**5/105 + 4*a**4/21 + 7*a**3/3 - 2. Let m(c) be the third derivative of h(c). Factor m(d).
2*(d + 4)**2/7
Suppose -3*q + 3*f + 2*f - 14 = 0, -3*q - 4*f + 22 = 0. Let i be (-5 + 1)*q/(-4). Factor 0*b + 0 + 1/2*b**i.
b**2/2
Let y(h) be the first derivative of 3/22*h**4 - 3 + 4/33*h**3 + 2/55*h**5 + 0*h**2 + 0*h. Factor y(k).
2*k**2*(k + 1)*(k + 2)/11
Let f(i) be the first derivative of 3*i**5/10 - i**4/8 - 3*i**3/2 + 9*i**2/4 - i - 5. Factor f(t).
(t - 1)**2*(t + 2)*(3*t - 1)/2
Find j, given that 0 + 2/11*j**2 - 2/11*j = 0.
0, 1
Let g be (-2 + 9/6)*-4. Suppose 2*y**g + 0*y**2 - 6*y**3 - 2*y**4 + 4*y**4 + 2*y**3 = 0. Calculate y.
0, 1
Let x be (2/(-5))/((-4)/5). Let r(i) be the first derivative of -1/3*i**3 + 1 + 0*i - x*i**2. Suppose r(q) = 0. What is q?
-1, 0
Suppose 4*n = -5*n + 27. Let u(x) be the third derivative of -1/20*x**4 + 1/150*x**5 + 0*x + 2/15*x**n - 2*x**2 + 0. Factor u(a).
2*(a - 2)*(a - 1)/5
Suppose -4*j + 4 = -8. Let j*r**2 - 6*r + 4 + 0*r**2 - 6*r**2 - 7 = 0. What is r?
-1
Let b(z) be the first derivative of z**5/5 + 3*z**4/2 + 13*z**3/3 + 6*z**2 + 4*z - 17. Factor b(o).
(o + 1)**2*(o + 2)**2
Factor 0 - 14/9*i + 2/9*i**2.
2*i*(i - 7)/9
Let p = -227/65 - -48/13. Factor 0 + p*t + 1/5*t**2.
t*(t + 1)/5
Let k(z) = 5*z**3 - 2*z**2 - z. Let g(l) = l**3 + l. Let q(d) = 6*g(d) - 2*k(d). Factor q(u).
-4*u*(u - 2)*(u + 1)
Factor -2*n**3 - 12*n**2 - 4*n - 2*n**4 + 4 + 18*n**2 + 14*n.
-2*(n - 2)*(n + 1)**3
Let l(a) be the third derivative of -a**7/420 + a**6/60 + a**5/24 - 15*a**2. Factor l(t).
-t**2*(t - 5)*(t + 1)/2
Let j(t) = 6*t**3 - 33*t**2 + 72*t + 3. Let u(c) = c**3 - c**2 - c + 1. Let d(f) = -j(f) + 3*u(f). Factor d(h).
-3*h*(h - 5)**2
Suppose -b - 10 = 3*v - 0, 5*v = -b - 18. Suppose -14 = a - 17. Factor z - 2*z**2 + z**b - 1 + a.
-(z - 2)*(z + 1)
Factor -j**2 + 2 - 97*j**3 - 10*j**2 + 101*j**3 + 5*j.
(j - 2)*(j - 1)*(4*j + 1)
Let i(r) = 20*r**4 - 56*r**2 + 16*r + 20. Let b(n) = -4*n**4 + 11*n**2 - 3*n - 4. Let w(f) = -16*b(f) - 3*i(f). Factor w(h).
4*(h - 1)**2*(h + 1)**2
Factor 1/4*q**3 + 0*q + 1/4*q**4 + 0*q**2 + 0.
q**3*(q + 1)/4
Factor 12*v**4 - v**5 + 3*v**5 - 37 - 31*v + 4*v**2 + 7*v + 22*v**3 + 21.
2*(v - 1)*(v + 1)*(v + 2)**3
Let m(s) be the first derivative of 1/6*s**4 - 2*s**2 + 1/3*s**3 + 2 + 2*s. Let b(z) be the first derivative of m(z). Find a such that b(a) = 0.
-2, 1
Let r(s) be the first derivative of 3*s**5/5 + 11*s**4/4 + 5*s**3 + 9*s**2/2 + 2*s + 8. What is a in r(a) = 0?
-1, -2/3
Let w be 0 - 16/(-4)*1. Let n be 55/22*w/5. Determine g, given that 0 - 1/2*g**3 + 1/2*g**4 + 0*g + 0*g**n = 0.
0, 1
Let