4/6 + o. Let z(y) be the third derivative of m(y). Factor z(l).
2*(l - 1)*(l + 2)
Let l(c) = 11*c**3 - 14*c**3 - 12*c**3 - 45*c + 21*c**2 + 15. Let m(s) = 3*s**3 - 4*s**2 + 9*s - 3. Let g(t) = 5*l(t) + 24*m(t). Factor g(n).
-3*(n - 1)**3
Let b(i) be the second derivative of -5*i**4/12 - 35*i**3/6 - 15*i**2 + 19*i. Factor b(x).
-5*(x + 1)*(x + 6)
Let 4*h**2 + 0 + 12/7*h**5 + 24/7*h - 36/7*h**3 - 4*h**4 = 0. Calculate h.
-1, -2/3, 0, 1, 3
Let q(o) be the second derivative of 0*o**2 - 1/189*o**7 + 0*o**4 + 0*o**5 + 0 + 0*o**6 + 0*o**3 - o. Factor q(x).
-2*x**5/9
Let b(v) be the second derivative of -1/6*v**3 + 0 + 1/12*v**4 + 0*v**2 - 3*v. Determine h, given that b(h) = 0.
0, 1
Let o(n) be the first derivative of -2/3*n - 4/3*n**3 - 2/3*n**4 - 4/3*n**2 + 5 - 2/15*n**5. Factor o(r).
-2*(r + 1)**4/3
Let y(f) be the second derivative of -f**6/45 + f**4/9 - f**2/3 - 12*f. Factor y(d).
-2*(d - 1)**2*(d + 1)**2/3
Let r = 5 + 0. Suppose -u = -r - 0. Suppose -u*h**2 - h**2 + 3*h - 7*h = 0. Calculate h.
-2/3, 0
Let v(m) be the second derivative of m**10/30240 + m**9/30240 - m**8/6720 - m**7/5040 + m**4/6 + 3*m. Let g(x) be the third derivative of v(x). Solve g(l) = 0.
-1, -1/2, 0, 1
Factor -21*l - 2*l**2 + 18 + 9*l + 4*l**2.
2*(l - 3)**2
Let s(u) = -3*u**2 + 32*u - 37. Let q(i) = -4*i**2 + 48*i - 56. Let t(z) = -5*q(z) + 8*s(z). Find h, given that t(h) = 0.
2
Let a be ((-48)/64)/((-6)/4). Factor a*y**2 + 1/2*y + 0.
y*(y + 1)/2
Let o(c) be the second derivative of -c**4/15 - 7*c**3/45 - c**2/15 - 6*c. Factor o(i).
-2*(i + 1)*(6*i + 1)/15
Let d(v) be the second derivative of -v**6/10 - 3*v**5/28 + v**4/14 + 4*v. What is i in d(i) = 0?
-1, 0, 2/7
Let h(g) = -g**3 + 4*g**2 - 5*g + 6. Let b be h(3). Factor b*u - 1/3*u**5 - 1/3*u**2 - u**3 + 0 - u**4.
-u**2*(u + 1)**3/3
Factor 3*g**2 - 3*g - g - 10*g**2 + g**2 - 2*g**3.
-2*g*(g + 1)*(g + 2)
Let f be (-110)/40 + 1 + 2. Suppose 0*d + 3/4*d**4 + 0*d**2 + f*d**3 + 0 = 0. What is d?
-1/3, 0
Factor -20 - 4/5*v**2 - 8*v.
-4*(v + 5)**2/5
Let y(d) be the third derivative of -d**5/330 + 3*d**3/11 + 11*d**2. Factor y(r).
-2*(r - 3)*(r + 3)/11
Let h be ((-4)/2)/((-14)/21). Let c(t) be the second derivative of 1/63*t**7 + 1/9*t**4 + t + 0*t**2 + 0 - 1/9*t**h + 0*t**5 - 2/45*t**6. Factor c(u).
2*u*(u - 1)**3*(u + 1)/3
Let z(t) be the third derivative of -t**7/735 - t**6/70 - 2*t**5/35 - 2*t**4/21 + 4*t**2. Solve z(x) = 0.
-2, 0
Let w(o) = 2*o**2 - 3*o + 1. Let g be w(2). Determine j, given that -1 + 31*j**g + 2*j + 5*j**2 - 29*j**3 + 1 = 0.
-2, -1/2, 0
Suppose -4*j + 4*r - 16 = 0, 3*j - 2 - 6 = -r. Let s = 4 - j. Suppose 2*u**2 + u**2 + u**3 + u**s + u = 0. What is u?
-1, -1/2, 0
Let g = -647 + 38821/60. Let h(a) be the third derivative of -g*a**5 - 2*a**2 + 0*a + 0 - 5/96*a**4 - 1/24*a**3. Factor h(x).
-(x + 1)*(4*x + 1)/4
Let p be (-2 + (-5)/(-3))*-2. Let l(u) be the first derivative of -p*u + 2/9*u**3 + 2 + 0*u**2. Solve l(j) = 0 for j.
-1, 1
Let p = 41/68 - 6/17. Let c(t) be the third derivative of 1/20*t**6 - p*t**4 + 0 + 3*t**2 + 2/3*t**3 - 1/105*t**7 - 1/30*t**5 + 0*t. Find h such that c(h) = 0.
-1, 1, 2
Let w(r) be the third derivative of -r**5/60 + r**4/24 + r**3/3 - 2*r**2. Let w(b) = 0. What is b?
-1, 2
Let a(u) be the third derivative of 2*u**2 + 0*u + 1/60*u**4 + 1/25*u**6 + 1/280*u**8 + 1/25*u**5 + 0 + 2/105*u**7 + 0*u**3. Factor a(t).
2*t*(t + 1)**3*(3*t + 1)/5
Let k(s) be the second derivative of s**4/4 + 2*s**3/7 - 9*s**2/14 - 2*s. Find v, given that k(v) = 0.
-1, 3/7
Suppose -2/5*l + 0 - 1/5*l**2 = 0. Calculate l.
-2, 0
Let n be 2/(-7) - (2/(-7) + -2). Solve 1/4 - 1/2*p**3 + 0*p**n + 1/2*p - 1/4*p**4 = 0 for p.
-1, 1
Let q(c) be the first derivative of 0*c - 1/5*c**5 + 3/2*c**4 - 2 + 0*c**2 - 3*c**3. Let q(v) = 0. What is v?
0, 3
Suppose l = -3, 14 = -3*r - 5*l - 1. Suppose v - 4 + 6 = h, -v - 2*h = -13. Suppose r + 6/5*o - 3/5*o**2 - v*o**3 + 3/5*o**4 + 9/5*o**5 = 0. What is o?
-1, 0, 2/3, 1
Let u(p) be the third derivative of 0*p**3 + 0*p + 1/60*p**5 - 5*p**2 - 1/120*p**6 + 0*p**4 + 0. Factor u(b).
-b**2*(b - 1)
Let f be 2/(-4)*0*-1. Suppose 2*q - 2*j - 2 = 0, 3*j + 4 = 7. Determine r so that 2/7*r**q - 2/7*r + f = 0.
0, 1
Let v(w) = -w**3 - 5*w**2 + 5*w - 6. Suppose -2*p - 8 = 4. Let j be v(p). Factor 0 - 1/2*h**4 + 1/2*h**3 + j*h + 0*h**2.
-h**3*(h - 1)/2
Let q(y) = -4*y**5 + 2*y**3 + 2*y**2 + 2*y. Let j(f) = -12*f**5 + 5*f**3 + 7*f**2 + 7*f. Let o(x) = 2*j(x) - 7*q(x). Determine g, given that o(g) = 0.
-1, 0, 1
Let k(z) = -z**3 + 7*z**2 - 3*z - 13. Let x be k(6). Suppose -x*v = -0*v. Let -1/5*p**2 + v*p**3 + 1/5*p**4 + 0 + 0*p = 0. Calculate p.
-1, 0, 1
Let i(o) = -8*o**2 + 2*o - 6. Let u(a) = -7*a**2 + 2*a - 5. Let v(p) = 5*i(p) - 6*u(p). Factor v(f).
2*f*(f - 1)
Let y be (-6)/(-4) - 3/(-6). Let h be 1/2 + y/8. Factor 1/2 - h*g**2 - 1/4*g.
-(g + 1)*(3*g - 2)/4
Suppose -3*m - 2*v = -13, 5*m = 3*v + v + 51. Suppose 5*j = 2*d + 12, 2*d + m = 3*j + 3. Factor 3/5*l**3 - 1/5*l**2 + 0*l + 1/5*l**5 - 3/5*l**j + 0.
l**2*(l - 1)**3/5
Suppose -2*c + 18 = -4*c - 4*h, -c + 3*h = -16. Let z be 0 - (5/7 - c). Factor 2/7*o + 0 + z*o**2.
2*o*(o + 1)/7
Let c(x) be the second derivative of -x**6/10 + x**4/2 - 3*x**2/2 + 2*x. Factor c(u).
-3*(u - 1)**2*(u + 1)**2
Let a be (2/20)/(3/(-5) - -3). Let o(i) be the third derivative of 0*i + 1/40*i**6 + a*i**4 + 0*i**3 - i**2 + 0 + 1/15*i**5. Factor o(f).
f*(f + 1)*(3*f + 1)
Let s = -117 + 119. Factor 0 + 2/5*q + 1/5*q**s.
q*(q + 2)/5
Let i(t) be the first derivative of 7 + 1/30*t**6 + 8/15*t**3 - 1/10*t**4 + 2/5*t - 2/25*t**5 - 7/10*t**2. Factor i(g).
(g - 1)**4*(g + 2)/5
Let x be (2 - -1)*(-8)/(-120). Factor x*y**2 + 0 + 2/5*y.
y*(y + 2)/5
Let n = -6 + 3. Let a be 2/6 - 3 - n. Solve a*j**2 - 1/3*j + 0 = 0 for j.
0, 1
Let m(b) be the second derivative of 0*b**2 - 1/3*b**4 - 1/3*b**3 - 1/10*b**5 + 4*b + 0. Suppose m(a) = 0. Calculate a.
-1, 0
Let o(c) be the second derivative of -c**4/20 + c**3/5 - 3*c**2/10 - 5*c. Factor o(s).
-3*(s - 1)**2/5
Factor 7/3*a + 0 + 1/3*a**2.
a*(a + 7)/3
Let l = 2/161 - -312/805. Let i(w) = -w - 7. Let c be i(-9). Find b such that -l*b + 0 - 2/5*b**3 - 4/5*b**c = 0.
-1, 0
Let v be ((-9)/(-5))/(-1 - (-8)/5). Suppose -4*n = -f - 0*f - 60, -n - 5*f = -36. Factor 0*l**2 - l**2 + n*l**3 - 17*l**v.
-l**2*(l + 1)
Factor -1/3*m**2 + 14/3*m - 13/3.
-(m - 13)*(m - 1)/3
Let d(r) be the second derivative of 1/150*r**6 - 1/50*r**5 + 1/30*r**3 - 4*r + 1/10*r**2 - 1/30*r**4 + 1/210*r**7 + 0. Factor d(m).
(m - 1)**2*(m + 1)**3/5
Factor 2/3*v**2 - 4/3*v + 0 + 2/3*v**3.
2*v*(v - 1)*(v + 2)/3
Let k(c) be the second derivative of c**5/90 + c**4/18 + c**3/9 - 7*c**2/2 - c. Let l(z) be the first derivative of k(z). Let l(v) = 0. Calculate v.
-1
What is n in 106*n + 175*n**3 + 295*n**2 - 52*n - 5 + 86*n + 25 = 0?
-1, -2/5, -2/7
Let s be -2 - (1 - -2)*-3. Let l(f) = 4*f**2 + 4*f + 3. Let u(i) = 9*i**2 + 9*i + 7. Let j(g) = s*l(g) - 3*u(g). Let j(c) = 0. What is c?
-1, 0
Let i = -463/7 + 472/7. Determine d so that -9/7 + i*d**2 - 3/7*d**3 + 3/7*d = 0.
-1, 1, 3
Let o(w) be the first derivative of w**4/10 - 2*w**3/15 - w**2/5 + 2*w/5 - 7. Find x, given that o(x) = 0.
-1, 1
Let t(i) be the first derivative of -1/2*i**2 - 1/3*i**3 + 4 + 2*i. Find a such that t(a) = 0.
-2, 1
Let d(l) be the first derivative of l**5/270 + l**4/27 + l**3/9 - 3*l**2/2 - 1. Let c(o) be the second derivative of d(o). Factor c(y).
2*(y + 1)*(y + 3)/9
Let r(m) be the first derivative of -3*m**4/4 - 6*m**3 - 27*m**2/2 - 12*m - 63. Factor r(f).
-3*(f + 1)**2*(f + 4)
Let j(u) be the second derivative of -2*u**7/7 + 8*u**6/15 + u**5 - 2*u**4/3 - 7*u. Suppose j(x) = 0. Calculate x.
-1, 0, 1/3, 2
Let d(z) be the third derivative of -1/240*z**5 + 1/280*z**7 + 0*z**4 - 1/672*z**8 + 0*z + 0*z**3 + 0*z**6 - 3*z**2 + 0. Factor d(h).
-h**2*(h - 1)**2*(2*h + 1)/4
Factor -2*j + 11*j + 9*j**2 + 2 + 3*j**3 + 1.
3*(j + 1)**3
Let d(f) = -2*f**3 - 14*f**2 + 4*f + 2. Let p(n) = 9*n**3 + 69*n**2 - 21*n - 9. Let z(c) = -24*d(c) - 5*p(c). Factor z(x).
3*(x - 1)**3
Let k(b) = 4*b**2 - 7*b + 4. Let x(n) = 3*n**2 - 6*n + 3. Let f(j) = 4*k(j) - 5*x(j). Solve f(w) = 0 for w.
-1
Let a(z) = 41*z**5 - 84*z**4 + 35*z**3 + 29*z**2 - 7*z + 1. Let s(l) = 20*l**5 - 42*l**4 + 18*l**3 + 14*l**2 - 4*l. Let w(p) = 2*a(p) - 5*s(p). Solv