 third derivative of y**9/13608 - y**7/1260 - y**6/810 - 4*y**3/3 + 12*y**2. Let w(g) be the first derivative of b(g). Factor w(u).
2*u**2*(u - 2)*(u + 1)**2/9
Let j = -466 + 1867/4. Let u(q) be the first derivative of 0*q - 2 + j*q**4 - 1/2*q**6 - q**3 + 3/5*q**5 + 0*q**2. Let u(r) = 0. Calculate r.
-1, 0, 1
Let i(z) = -2*z - 1. Let o be i(-2). Factor 7*l**2 - o*l**2 - 1 + 11 - 24*l + 26.
4*(l - 3)**2
Let v = 679 + -2033/3. Let l(i) be the second derivative of -5*i + 0 - 1/5*i**5 + 0*i**2 + i**4 - v*i**3. Find y, given that l(y) = 0.
0, 1, 2
Let g = -85 + 106. Let r = 24 - g. Let -2/9*a**4 + 4/9*a**r + 0*a**2 - 4/9*a + 2/9 = 0. What is a?
-1, 1
Let b = -27 + 30. Factor -8*p**3 + 10*p**2 + p**b - 5*p + 2*p**3.
-5*p*(p - 1)**2
Let x(n) be the third derivative of -n**6/120 + 7*n**5/60 + n**4/3 + n**3/3 - 4*n**2. Let j be x(8). Let -3 - b**2 + 1 + b + j*b**2 = 0. What is b?
-2, 1
Factor 3/2 + 1/2*b**3 - 5/2*b + 1/2*b**2.
(b - 1)**2*(b + 3)/2
Let t(w) be the third derivative of -w**8/80640 + w**7/4032 - w**5/60 + 10*w**2. Let h(n) be the third derivative of t(n). Determine a so that h(a) = 0.
0, 5
Let f(a) be the first derivative of -1372*a - 17 + 294*a**2 + a**4 + 2 + 7*a**3 - 35*a**3. Suppose f(o) = 0. What is o?
7
Factor 54/7 - 3/7*y**2 - 51/7*y.
-3*(y - 1)*(y + 18)/7
Let m(v) be the third derivative of -8/105*v**7 + 14*v**2 + 1/10*v**6 + 0*v**5 + 0*v + 0 - 1/12*v**4 + 0*v**3 + 1/56*v**8. Factor m(z).
2*z*(z - 1)**3*(3*z + 1)
Factor 6962/3 - 236/3*d + 2/3*d**2.
2*(d - 59)**2/3
Let v be 6*22/9 - (-1)/3. Let q be (77/(-35))/((-12)/v) + -2. Solve 1/4 + 1/4*t**3 + q*t + 3/4*t**2 = 0.
-1
Let h(z) = 3*z**2 - 25*z + 26. Let f(l) = l**2 + 1. Let w(r) = 10*f(r) - 5*h(r). What is b in w(b) = 0?
1, 24
Let r(a) be the third derivative of -a**6/60 + 31*a**5/300 - 23*a**4/120 + a**3/15 + 17*a**2 - 2. Solve r(b) = 0.
1/10, 1, 2
Find w such that -21*w**3 + 4*w**4 - 13410*w - 9*w**3 + w**4 + 13410*w + 45*w**2 = 0.
0, 3
Suppose -a = -0 - 3. Let n(m) be the third derivative of 0*m**a + 0*m**4 - 1/75*m**5 + 0*m + 0 - 1/1050*m**7 + 1/150*m**6 + 3*m**2. Factor n(t).
-t**2*(t - 2)**2/5
Let i(r) be the first derivative of 2/5*r**5 + 0*r + 0*r**2 + r**4 + 0*r**3 + 12. Factor i(p).
2*p**3*(p + 2)
Factor 3460*d + 340*d**2 - 30 - 3935*d + 172*d**3 - 7*d**3.
5*(d - 1)*(d + 3)*(33*d + 2)
Let h(o) be the first derivative of 55*o**3/12 + 15*o**2/4 + 59. Factor h(f).
5*f*(11*f + 6)/4
Let c(u) be the first derivative of 5*u**6/6 + 6*u**5 + 45*u**4/4 + 20*u**3/3 + 262. Suppose c(p) = 0. Calculate p.
-4, -1, 0
Let s(a) be the first derivative of -a**3/18 - a**2/12 + a - 72. Factor s(t).
-(t - 2)*(t + 3)/6
Let f = -313 - -318. Let x(k) be the first derivative of -1/12*k**4 - 1/18*k**6 + 0*k - 1/3*k**3 + 6 + 1/3*k**2 + 1/5*k**f. Suppose x(v) = 0. Calculate v.
-1, 0, 1, 2
Let b = 43 - 38. Solve 5*l**4 + 11*l**2 - 42*l**3 + 37*l**2 - 27*l - 7*l**5 + 6 + 13*l**4 + 4*l**b = 0 for l.
1, 2
Let m(w) be the third derivative of w**6/40 + w**5/2 - 11*w**4/8 + w**2 + 1. Find a such that m(a) = 0.
-11, 0, 1
Let k = -23 - -53. Suppose 0 = -5*w + 4*r, 7*w - k = 2*w - 2*r. Let 35*h**3 - 68*h**3 + h**w + 33*h**3 - h**5 = 0. What is h?
0, 1
Suppose -a = -4*a. Let g(t) be the second derivative of -t + 0*t**2 + 1/40*t**5 + 1/8*t**4 + 1/6*t**3 + a. Determine i so that g(i) = 0.
-2, -1, 0
Let v = -1281 - -1281. Factor 3/7*k**3 - 3/7*k + v + 3/7*k**4 - 3/7*k**2.
3*k*(k - 1)*(k + 1)**2/7
Let l(u) = 5*u**3 - 31*u**2 - 58*u + 96. Let o(r) = 5*r**3 - 32*r**2 - 56*r + 92. Let m(w) = 3*l(w) - 4*o(w). Suppose m(g) = 0. Calculate g.
-2, 1, 8
Let s(k) be the third derivative of k**8/2016 - 7*k**6/720 + k**5/60 - 175*k**2. Factor s(g).
g**2*(g - 2)*(g - 1)*(g + 3)/6
Let r be (-1)/(-3)*(2 + -1). Let p(b) be the third derivative of -r*b**3 + 1/120*b**6 + 0 - 5/12*b**4 - 7/40*b**5 - 4*b**2 + 0*b + 1/60*b**7. Factor p(s).
(s - 2)*(s + 1)**2*(7*s + 2)/2
Let x(h) = 2*h**2 + 184*h + 184. Let p be x(-1). Factor 1/3*u + 2/3 - 1/3*u**p.
-(u - 2)*(u + 1)/3
Let z(t) be the second derivative of -1/70*t**5 - 512/7*t**2 + 23*t - 64/7*t**3 + 0 - 4/7*t**4. Suppose z(a) = 0. What is a?
-8
Solve -1/3*w**4 + 13/3*w**2 - 4 + 1/3*w**3 - 1/3*w = 0.
-3, -1, 1, 4
Let v(n) be the first derivative of 1/14*n**4 - 4/7*n + 5/7*n**2 - 6 - 8/21*n**3. Find t, given that v(t) = 0.
1, 2
Let f(u) be the third derivative of -u**7/13860 + u**5/660 + u**4/12 + 7*u**3/3 + 4*u**2 + u. Let m(x) be the second derivative of f(x). Factor m(v).
-2*(v - 1)*(v + 1)/11
Let d(h) = 2. Let u(p) = 20*p**2 + 254*p - 72. Let n(q) = -3*d(q) + u(q). Solve n(k) = 0.
-13, 3/10
Let a(j) be the first derivative of j**3/18 + j**2/12 - 2*j - 714. Suppose a(f) = 0. What is f?
-4, 3
Let r(j) be the first derivative of -j**5/30 - j**4/18 + 2*j**3/9 - 13*j + 23. Let g(f) be the first derivative of r(f). Factor g(q).
-2*q*(q - 1)*(q + 2)/3
Let g be ((-2)/4*(69 + -69))/(-2). Determine u so that 2/11*u**3 + g - 4/11*u**2 - 6/11*u = 0.
-1, 0, 3
Let b(j) = -4*j**3 + 3*j**2 + 12*j - 5. Let m = 42 + -66. Let i(x) = -20*x**3 + 16*x**2 + 60*x - 24. Let t(h) = m*b(h) + 5*i(h). Let t(y) = 0. Calculate y.
-1, 0, 3
Let h(j) be the first derivative of j**4/4 - j**3 - 9*j**2/2 + 5*j + 1. Let s(a) be the first derivative of h(a). Factor s(r).
3*(r - 3)*(r + 1)
Let j(g) be the second derivative of g**7/2940 - g**6/1260 - g**5/70 - 7*g**3/6 - 8*g. Let c(v) be the second derivative of j(v). Factor c(h).
2*h*(h - 3)*(h + 2)/7
Let t(l) = -15*l**3 + 15*l. Let x(p) = -p**3 - p**2 - p - 1. Let s(z) = -t(z) + 18*x(z). Factor s(q).
-3*(q + 1)*(q + 2)*(q + 3)
Factor 36/5 + 34/5*b - 2/5*b**2.
-2*(b - 18)*(b + 1)/5
Let y be (-52)/(-65)*(30/(-4))/(-3). Let t(k) be the first derivative of -1/6*k**3 - 2 + 1/8*k**4 + 1/10*k**5 + 0*k - 1/4*k**y. What is u in t(u) = 0?
-1, 0, 1
Let z(w) be the second derivative of -w**4/6 - 2*w**3 + 16*w**2 + 36*w. Let z(n) = 0. Calculate n.
-8, 2
Let t(u) be the first derivative of -u**3 - 3/20*u**5 + 6 - 3/4*u**4 + 0*u**2 + 0*u. Let t(m) = 0. Calculate m.
-2, 0
Let x(q) be the third derivative of 1/5*q**5 + 20*q**2 + 0*q + 1/120*q**6 + 32/3*q**3 + 2*q**4 + 0. Factor x(g).
(g + 4)**3
Let h(v) = -v**2 + 10*v + 57. Let c be h(14). Let g be (c + -1)/(-1 + 2). Find f, given that -2/15*f**5 + 0*f**2 + g*f + 0*f**3 - 2/15*f**4 + 0 = 0.
-1, 0
What is v in 45*v**2 - 91*v**2 + 47*v**2 + 22*v = 0?
-22, 0
Let k(l) be the second derivative of -3*l**4/28 + 13*l**3/3 - 20*l**2/7 + 128*l + 2. Factor k(v).
-(v - 20)*(9*v - 2)/7
Suppose 45*l = 40*l + 50. Determine h so that -l + 1367*h + 1 - 1382*h - 6*h**2 + 3*h**2 + 3*h**3 = 0.
-1, 3
Suppose 0 = -a - a + 12. Find d such that a*d**2 + 7 + 12*d**3 - 9*d**5 - 3*d - 6*d**4 - 7 = 0.
-1, 0, 1/3, 1
Let q(r) be the second derivative of 1/20*r**5 + 3*r + 1/4*r**4 + 0 - 1/6*r**3 - 3/2*r**2. Factor q(c).
(c - 1)*(c + 1)*(c + 3)
Let z(u) = 2*u**4 + 33*u**3 + 9*u**2 - 3*u - 3. Let w(k) = -2*k**4 - 30*k**3 - 6*k**2 + 2*k + 2. Let j(f) = 3*w(f) + 2*z(f). Factor j(x).
-2*x**3*(x + 12)
Let h be (-384)/416*(-3 + (-3)/(-9)). Factor 28/13*r**3 + 2/13*r**5 - h*r**2 - 12/13*r**4 - 4/13 + 18/13*r.
2*(r - 2)*(r - 1)**4/13
Suppose -2 = 3*t - 4*t. Suppose 0 = -5*d - r - 3, -d - 4*r - 12 = 2*d. Suppose t*i - 5*i**3 + 0*i**4 + 2*i**5 + d*i**4 + i**3 = 0. What is i?
-1, 0, 1
Let p(x) = -x**4 + 16*x**3 - 45*x**2 + 38*x - 12. Let v(u) = u**4 - 31*u**3 + 93*u**2 - 77*u + 24. Let r(w) = -5*p(w) - 2*v(w). Factor r(f).
3*(f - 2)**2*(f - 1)**2
Find o such that 17*o**4 + 4*o**4 + 48*o**3 + 6*o**5 - 12 - 2*o**4 + 13*o**4 - 22*o + 12*o**2 = 0.
-3, -1, 2/3
Let t be (0 - 0)*(6 + 55/(-10)). Let f(z) be the second derivative of 5*z + 0*z**2 + 1/40*z**6 + 9/80*z**5 + 1/8*z**4 + 0 + t*z**3. Factor f(x).
3*x**2*(x + 1)*(x + 2)/4
Let h(f) = 3*f**4 - 35*f**3 + 86*f**2 - 100*f + 42. Let c(k) = -2*k**4 + 35*k**3 - 84*k**2 + 100*k - 43. Let l(x) = -2*c(x) - 3*h(x). Factor l(p).
-5*(p - 2)**3*(p - 1)
Let v be 1 + (-3)/(-2)*(-4)/2. Let s be (v/(-12))/(6/24). Determine w so that -2*w**2 - s*w - 2*w**3 + 0 - 2/3*w**4 = 0.
-1, 0
Let w(f) = -11*f + 35. Let s be w(3). Let i(k) be the second derivative of 4*k + 0 + 1/8*k**s + 1/96*k**4 - 1/16*k**3. Let i(n) = 0. What is n?
1, 2
Let v be ((0 - 9) + 3)/(-2). Let k(x) = -13*x**3 - x**2 + 6*x + 22*x**v - 8*x**3. Let a(t) = 2*t**3 - 3*t**2 + 13*t. Let