0 + 0*l**2 + 2/5*l**5 + 2/5*l**m.
2*l**3*(l + 1)**2/5
Let t(n) = n**3 - n + 1. Let l(r) = 3*r**5 - 3*r**4 - 4*r**3 + 6*r**2 + r - 1. Let b(s) = l(s) - 2*t(s). Factor b(z).
3*(z - 1)**3*(z + 1)**2
Suppose -16*o**4 + 8*o**3 - 40*o**3 - 22*o + 214*o**3 + 20*o**2 - 160*o**5 - 4 = 0. Calculate o.
-1, -1/4, 2/5, 1
Let v(q) be the first derivative of -3*q**5/5 - 3*q**4/2 + 3*q**3 + 3. Suppose v(u) = 0. Calculate u.
-3, 0, 1
Let c(v) be the third derivative of -4*v**2 + 0*v - 1/360*v**6 - 5/72*v**4 + 1/9*v**3 + 1/45*v**5 + 0. Find y such that c(y) = 0.
1, 2
Suppose 0*o = o. Factor o*y - 4*y + 2*y**2 + 2*y.
2*y*(y - 1)
Let j = -20/11 + 91/44. Factor -j + 1/4*g**5 - 3/4*g + 1/2*g**3 + 3/4*g**4 - 1/2*g**2.
(g - 1)*(g + 1)**4/4
Let o(w) be the second derivative of w**6/900 + w**5/150 + w**4/60 + w**3/6 - 3*w. Let t(j) be the second derivative of o(j). Factor t(f).
2*(f + 1)**2/5
Let q = 7/8 - 3/8. Factor -1/2*p + 0 + q*p**3 - 1/2*p**4 + 1/2*p**2.
-p*(p - 1)**2*(p + 1)/2
Let p(k) be the third derivative of -k**6/60 + k**5/15 + 8*k**2. Let p(b) = 0. What is b?
0, 2
Factor -11 + 96*g + 17 + 30 - 9*g**3 + 104*g**2 - 21*g**4 - 35*g**2 - 3*g**5.
-3*(g - 2)*(g + 1)**3*(g + 6)
Let f = 157/803 + -1/73. Factor -6/11*h**3 - 6/11*h**2 - f*h - 2/11*h**4 + 0.
-2*h*(h + 1)**3/11
Let w(o) be the third derivative of o**6/60 + o**5/15 - o**4/12 - 2*o**3/3 - 8*o**2. Factor w(r).
2*(r - 1)*(r + 1)*(r + 2)
Let h(z) be the second derivative of z**4/4 - z**3/2 - 9*z**2 + 24*z. Factor h(i).
3*(i - 3)*(i + 2)
Let q(p) = 2*p - 4. Let z be q(2). Determine i so that z*i + 1/3*i**4 + 0 + 1/3*i**3 - 1/3*i**5 - 1/3*i**2 = 0.
-1, 0, 1
Suppose 8 + 1/2*d**2 + 4*d = 0. What is d?
-4
Let z(m) be the third derivative of -1/72*m**6 - 7/180*m**5 + 0*m**3 + 0*m - 5*m**2 + 0 - 1/36*m**4. Factor z(s).
-s*(s + 1)*(5*s + 2)/3
Let 3/8*y**3 - 9/4*y**2 - 3 + 9/2*y = 0. Calculate y.
2
Let r(j) be the second derivative of j**5/5 - 7*j**4/9 + 4*j**3/9 - 33*j. Factor r(v).
4*v*(v - 2)*(3*v - 1)/3
Let l(o) = o**2 + 4*o + 6. Let h be l(-6). Let w(s) = s**3 - 1. Let m(t) = 21*t**3 + 6*t**2 - 3*t - 24. Let n(x) = h*w(x) - m(x). Solve n(y) = 0.
-2, -1, 1
Let q(g) be the third derivative of -g**9/211680 + g**8/35280 - g**7/17640 + g**5/15 + 4*g**2. Let p(i) be the third derivative of q(i). Factor p(o).
-2*o*(o - 1)**2/7
Let l(a) be the second derivative of 7*a**4/6 + 9*a. Let z(q) = -13*q**2 - 5*q + 3*q + q. Let u(d) = 5*l(d) + 4*z(d). Determine b, given that u(b) = 0.
0, 2/9
Let r(f) be the third derivative of 0*f - 1/300*f**6 + 0*f**3 + 6*f**2 - 1/60*f**4 + 0 + 1/75*f**5. Let r(b) = 0. What is b?
0, 1
Let k = -97 - -681/7. Factor -4/7*r**2 + 0 + 2/7*r + k*r**3.
2*r*(r - 1)**2/7
Let m(p) be the third derivative of -p**9/22680 - p**8/6048 - p**7/11340 + p**6/3240 - p**4/24 - 2*p**2. Let s(i) be the second derivative of m(i). Factor s(q).
-2*q*(q + 1)**2*(3*q - 1)/9
Let l = 16/31 - -14/93. Factor 8/3*r**2 - 1/3*r - l - 5/3*r**3.
-(r - 1)**2*(5*r + 2)/3
Let t = 1 - 0. Factor 2*q**2 + t + 5/2*q + 1/2*q**3.
(q + 1)**2*(q + 2)/2
Let t be (-7)/(-5) - (-6)/10. Solve -t + 2*a**3 + 3 - 1 = 0 for a.
0
Suppose 4 = 2*y - 2. Let j be -3*3*(-2)/9. Factor 8*z**2 - j*z**2 - z**3 - 8 + y*z**3.
2*(z - 1)*(z + 2)**2
Let m(s) be the first derivative of 14/3*s**3 + 3 - 8*s + 12*s**2. Factor m(w).
2*(w + 2)*(7*w - 2)
Let t(w) be the first derivative of w**4/2 + 2*w**3/3 - 2*w**2 + 18. Let t(a) = 0. Calculate a.
-2, 0, 1
Let p(v) = 2*v**3 + 6*v**2 + 4*v + 2. Let m(c) = -2*c**3 - 5*c**2 - 3*c - 3. Let o(n) = 2*m(n) + 3*p(n). Let o(j) = 0. Calculate j.
-3, -1, 0
Suppose 4*m - 10 = -m. Let o be 0/5 + m*1. Solve 3*a**o - 4*a**2 - 6*a**3 - 3*a**2 = 0 for a.
-2/3, 0
Let v(h) = h**2 + 4*h - 2. Let a be v(-5). Suppose -a*w = 2*w. Let 1/3*s**2 - 1/3*s**3 + w + 0*s = 0. What is s?
0, 1
Let t(x) be the second derivative of 8*x**6/15 + x**5 - 7*x**4/3 - 4*x**3/3 - x. Factor t(j).
4*j*(j - 1)*(j + 2)*(4*j + 1)
Factor 2*b**4 - 35*b**3 + 37*b**3 - 5*b**5 + b**5.
-2*b**3*(b - 1)*(2*b + 1)
Let w(s) = 4*s + 1 + s - 6*s - 2. Let y(f) = f**2 - 5*f - 4. Let h(i) = -4*w(i) + y(i). Factor h(d).
d*(d - 1)
Let g be (-2)/(-2) + 0 + 2. Factor g*u**4 + 5*u**5 - u**2 - 4*u**5 + 3*u**3 + 0*u**2 - 6*u**4.
u**2*(u - 1)**3
Let l(n) be the first derivative of n**6/2 + 3*n**5/20 - 3*n**4/4 - n**3/4 - 6. Solve l(w) = 0 for w.
-1, -1/4, 0, 1
Let r be (-20 + -4)*9/(-12). Suppose 2*a + 4*u = -0*a + r, -5*u + 21 = 2*a. Factor 2/5*p**4 + 2/5*p**2 + 0 + 0*p + 4/5*p**a.
2*p**2*(p + 1)**2/5
Find t such that 4*t**3 - 28*t + 49/3 + 22/3*t**2 + 1/3*t**4 = 0.
-7, 1
Let z(l) = -11*l - 20*l**2 - 24 - 4*l**3 + 13 + 0*l**3 - 21*l. Let a(p) = -4*p**3 - 20*p**2 - 32*p - 12. Let b(s) = -5*a(s) + 4*z(s). Factor b(g).
4*(g + 1)*(g + 2)**2
Let j(o) be the first derivative of -4 - 8*o**2 - 6*o**4 - 2*o - 38/3*o**3. Factor j(m).
-2*(m + 1)*(3*m + 1)*(4*m + 1)
Let c = -20 - -23. Suppose 0*g = c*g. Determine v, given that -1/4*v**3 + 0 - 1/2*v**4 + 1/4*v**2 + g*v = 0.
-1, 0, 1/2
Factor u**3 - u**2 - 42*u**4 + 2*u**2 + 40*u**4.
-u**2*(u - 1)*(2*u + 1)
Suppose 2*n = 3*o - 7, 6*n + 1 = n + 2*o. Let q be 2 + -2 - (-2 - n). Factor 2*k**q + 2*k + 2*k**4 - 2*k.
2*k**3*(k + 1)
Let l(z) be the third derivative of z**5/300 + 7*z**4/30 + 98*z**3/15 - 5*z**2. Find y such that l(y) = 0.
-14
Let u(i) be the first derivative of 2*i**6/15 - 14*i**5/25 + 3*i**4/5 + 2*i**3/15 - 2*i**2/5 + 10. Determine a, given that u(a) = 0.
-1/2, 0, 1, 2
Let z(i) be the third derivative of -i**7/315 - i**6/180 + i**5/45 - 10*i**2. Factor z(r).
-2*r**2*(r - 1)*(r + 2)/3
Let o = 16 + -16. Let x(v) be the second derivative of 1/9*v**3 + 1/18*v**4 + 0*v**2 + o + 2*v. Factor x(w).
2*w*(w + 1)/3
Let h(o) be the second derivative of o**6/210 + o**5/70 + o**4/84 - 4*o. Solve h(s) = 0 for s.
-1, 0
Let f be (4/(-3))/((-35)/30). Let d = 16 + -14. Factor 8/7 + 2/7*i**d - f*i.
2*(i - 2)**2/7
Let w(r) be the third derivative of -r**6/60 + r**5/20 - r**4/24 + 13*r**2. Factor w(x).
-x*(x - 1)*(2*x - 1)
Let c(w) be the first derivative of w**9/9072 - w**7/1260 + w**5/360 - 4*w**3/3 + 3. Let d(i) be the third derivative of c(i). Factor d(g).
g*(g - 1)**2*(g + 1)**2/3
Let a(x) be the first derivative of x**7/105 + x**6/180 - x**5/15 - x**4/12 - x**3/3 - 7. Let i(u) be the third derivative of a(u). Factor i(v).
2*(v - 1)*(v + 1)*(4*v + 1)
Let p be 0*(1 + (-16)/12)*-3. Find n such that -1/4*n**4 + p + 0*n + 0*n**2 - 1/4*n**3 = 0.
-1, 0
Let d = 81 - 323/4. Let k(j) be the first derivative of 1/6*j**3 + d*j**2 - 1/8*j**4 - 1/2*j + 4. Solve k(t) = 0 for t.
-1, 1
Suppose -6 = -5*j + 2*j. Let a(i) be the first derivative of -4/9*i + 4/27*i**3 + 1/18*i**4 + 1 - 1/9*i**j. Determine t, given that a(t) = 0.
-2, -1, 1
Let z(j) = j**3 + 20*j**2 + 18*j - 17. Let w be z(-19). Find m, given that -1/5 - 1/5*m**w + 2/5*m = 0.
1
Let u(f) be the third derivative of 0*f**6 + 1/1680*f**8 - 1/150*f**5 - 3*f**2 + 0*f**3 + 0*f + 1/525*f**7 + 0 - 1/120*f**4. Factor u(v).
v*(v - 1)*(v + 1)**3/5
Factor 0 + 2/3*k + 10/3*k**2.
2*k*(5*k + 1)/3
Let s(o) be the first derivative of -o**7/945 + o**6/180 - o**5/135 + o**2 + 5. Let f(h) be the second derivative of s(h). Determine m so that f(m) = 0.
0, 1, 2
Let l = 39/275 - -1/25. Determine n so that -l*n**3 + 6/11*n + 0*n**2 - 4/11 = 0.
-2, 1
Let x = 5 + -3. Factor -4*c**x + 0*c + 8 + 2*c - 7*c + c.
-4*(c - 1)*(c + 2)
Let b(d) be the second derivative of -2*d - 4/3*d**2 - 5/18*d**4 + 0 + 16/9*d**3 - 5/6*d**5. Factor b(g).
-2*(g + 1)*(5*g - 2)**2/3
Let k = -1 + 3. Suppose t + k*g - 4 = -0*g, -4*g = 4*t - 12. Determine j, given that -3*j**3 - 6 + 2*j**3 + j**t + 6 = 0.
0, 1
Let b(v) be the second derivative of v**6/15 - 13*v**5/30 + 19*v**4/18 - 11*v**3/9 + 2*v**2/3 - 14*v. Determine y so that b(y) = 0.
1/3, 1, 2
Let j(p) be the first derivative of -4*p**3/15 + 2*p**2/5 + 8*p/5 - 17. Let j(g) = 0. What is g?
-1, 2
Let l(a) = a + 1. Let u(d) = -4*d**2 + 8*d + 6. Suppose -f - 3 = -2*f. Suppose -5*n + n - 8 = -f*c, c - 1 = n. Let v(k) = n*l(k) + u(k). Factor v(j).
-(j - 1)*(4*j + 1)
Let -8/5*x**4 + 2*x**2 - 4*x**3 - 2/5 + 16/5*x**5 + 4/5*x = 0. Calculate x.
-1, -1/2, 1/2, 1
Suppose -20 = -4*b, -5*q + 2*q + b + 7 = 0. Suppose -5*j + q*v = 20, 5*j + 10 + 5 = 3*v. Determine a so that j*a + 0 + 1/3*a**2 = 0.
0
Let g(a) = -6*a**2 - 5*a