 - 6*n + 0*n**2 + 4/5*n**5 + 2/3*n**3. Factor d(y).
4*y*(y + 1)*(4*y + 1)
Factor 4/5*u**2 + 2/5*u + 2/5*u**3 + 0.
2*u*(u + 1)**2/5
Let a be (5 - (-3)/(-3)) + -4. Let v(o) be the third derivative of -o**2 + a*o**3 + 0 - 1/24*o**4 + 0*o - 1/120*o**6 - 1/30*o**5. Solve v(i) = 0 for i.
-1, 0
Let w(v) be the second derivative of -v**5/30 - v**4/4 - 2*v**3/3 - v**2/2 - 3*v. Let j(t) be the first derivative of w(t). Factor j(b).
-2*(b + 1)*(b + 2)
Let d(r) = r**3 - r**2 - r + 1. Suppose 0 = -0*c - 2*c - 2. Let g(t) = 15*t**3 - 21*t**2 - 6*t + 12. Let s(q) = c*g(q) + 12*d(q). Factor s(h).
-3*h*(h - 2)*(h - 1)
Let m = 7 + -5. Find q such that 4*q**3 + 3*q**4 - q**3 - 2*q - q**m - q - 2*q**2 = 0.
-1, 0, 1
Let l(r) be the first derivative of r**6/40 + r**5/35 - r**4/14 + r**3/3 + 3. Let z(x) be the third derivative of l(x). Factor z(q).
3*(3*q + 2)*(7*q - 2)/7
Let g(c) = 17 + c**2 + c**2 - 23. Let t(x) = -11 + 0 + 5*x**2 - x**2. Let s(a) = -7*g(a) + 4*t(a). Factor s(m).
2*(m - 1)*(m + 1)
Let w(v) = -v**5 - v**4 + 7*v**3 - 11*v**2 - 9*v - 9. Let o(f) = 3*f**3 - 5*f**2 - 4*f - 4. Let u(i) = -9*o(i) + 4*w(i). Determine r so that u(r) = 0.
-1, -1/2, 0, 1/2
Let v(i) be the first derivative of i**3 + 3*i**2/2 - 18*i - 42. Factor v(s).
3*(s - 2)*(s + 3)
Factor -2 - 4 + 27*z - 3*z + 8*z**3 - z**4 - 3 - 22*z**2.
-(z - 3)**2*(z - 1)**2
Let d(m) = -m**3 + 7*m**2 - m - 7. Let t be d(7). Let j be 8/t*(-7)/2. Factor 3 + 27/2*l**j + 33/2*l.
3*(l + 1)*(9*l + 2)/2
Factor 1/8*o**4 + 0*o + 0 + 1/8*o**3 - 1/4*o**2.
o**2*(o - 1)*(o + 2)/8
Let q(u) be the first derivative of 0*u - 5 - 1/15*u**3 - 1/5*u**2 + 1/20*u**4. Factor q(z).
z*(z - 2)*(z + 1)/5
Let f(k) = k**2 - 5*k + 4. Let z(i) = i + 7. Let d be z(0). Let q(m) = 2*m**2 - 11*m + 9. Let c(o) = d*f(o) - 3*q(o). Suppose c(a) = 0. Calculate a.
1
Let g = -8 - -11. Suppose 2*a - 3 = g. Factor -w**4 + w**4 + 2*w**5 - 2*w**a.
2*w**3*(w - 1)*(w + 1)
Let m(b) = -2*b - 6. Let x be m(-5). Let a(t) be the second derivative of -1/18*t**x + t - 1/18*t**3 + 0*t**2 + 0 - 1/60*t**5. Factor a(k).
-k*(k + 1)**2/3
Let t = -271/204 + 4/51. Let z = t + 3/2. Factor 0 + 1/4*y**2 - z*y**4 + 0*y + 0*y**3.
-y**2*(y - 1)*(y + 1)/4
Let v(y) be the first derivative of 2 + 6/5*y**5 - 14/9*y**3 - 11/3*y**2 - 4/3*y + 11/6*y**4. Solve v(i) = 0.
-1, -2/9, 1
Let z(f) be the third derivative of -f**7/2520 - f**4/6 + f**2. Let y(o) be the second derivative of z(o). What is r in y(r) = 0?
0
Let y(x) = 66*x**5 - 51*x**4 + 66*x**3 - 27*x**2 + 27*x. Let t(i) = -5*i**5 + 4*i**4 - 5*i**3 + 2*i**2 - 2*i. Let s(w) = 27*t(w) + 2*y(w). Factor s(u).
-3*u**3*(u - 1)**2
Let z(q) be the third derivative of q**8/84 - 2*q**7/35 + q**6/30 + q**5/5 - q**4/3 + 41*q**2. Let z(v) = 0. What is v?
-1, 0, 1, 2
Let v(j) = -3*j - 1. Let t be v(-1). Let h be 6/5*10/2. Determine q so that q**3 - t*q**2 - 4*q + h*q - q = 0.
0, 1
Let o(a) = -a**2 - 6*a - 7. Let u be o(-6). Let q be u*3/(-4 - -1). Let 7 + 3*z - q - z**2 = 0. What is z?
0, 3
Let x(j) = 15*j**4 + 21*j**3 - 9. Let w(d) = 7*d**4 + 10*d**3 - 4. Let r(m) = -9*w(m) + 4*x(m). Factor r(o).
-3*o**3*(o + 2)
Let o(n) = n**3 + 15*n**2 + 10*n. Let q(l) = -9*l**3 - 150*l**2 - 99*l. Let i(r) = -21*o(r) - 2*q(r). What is j in i(j) = 0?
-4, -1, 0
Let t(k) be the second derivative of 1/12*k**4 + 0*k**2 + 1/42*k**7 - 2*k + 0 + 0*k**3 + 1/10*k**6 + 3/20*k**5. Factor t(h).
h**2*(h + 1)**3
Let z(l) be the second derivative of -l**7/63 + 2*l**6/45 - l**5/30 + 3*l. Factor z(y).
-2*y**3*(y - 1)**2/3
Suppose -12 = -2*u - 2*u. Suppose -2*y + 5*d = -24, -3*d = -u*y - 5 + 23. Factor -1/2 + s - 1/2*s**y.
-(s - 1)**2/2
Let m = 377 - 233. Let u = -428/3 + m. Factor 1/3 + 5/3*l**2 + u*l + 2/3*l**3.
(l + 1)**2*(2*l + 1)/3
Factor -2*f**2 + 0*f**2 + 22 + 94*f - 74*f.
-2*(f - 11)*(f + 1)
Let h(n) be the third derivative of -n**7/3780 - n**6/1620 + n**3/6 + 7*n**2. Let f(b) be the first derivative of h(b). Factor f(k).
-2*k**2*(k + 1)/9
Let l = 1697/3 + -565. Factor -1/3*o**3 + o + 0*o**2 + l.
-(o - 2)*(o + 1)**2/3
Let a be -3 + 15/(-25) + 4. Factor 0 + 2/5*k**3 - a*k - 2/5*k**4 + 2/5*k**2.
-2*k*(k - 1)**2*(k + 1)/5
Solve 0 + 0*l - 3/2*l**4 - 1/2*l**2 + 1/2*l**5 + 3/2*l**3 = 0.
0, 1
Let -25/2 - 16*a**3 + 3/2*a**4 - 20*a + 47*a**2 = 0. What is a?
-1/3, 1, 5
Factor -2*v - 7*v**2 + 3*v**2 - 2*v**3 + 0*v.
-2*v*(v + 1)**2
Let q(i) be the first derivative of -i - 5/4*i**2 + 4 - 1/2*i**3 + 1/10*i**5 + 1/8*i**4. Factor q(b).
(b - 2)*(b + 1)**3/2
Let k be 962/1001 + (-2)/(-11). Let j = 39/28 - k. Find m, given that -1/4*m**2 + 0*m - j*m**5 + 1/4*m**4 + 1/4*m**3 + 0 = 0.
-1, 0, 1
Let q(x) be the second derivative of -x**9/75600 + x**8/16800 - x**6/1800 + x**5/600 - x**4/6 + 4*x. Let k(t) be the third derivative of q(t). Factor k(b).
-(b - 1)**3*(b + 1)/5
Let l = 14 + -96/7. Determine v so that 6/7*v**4 + l*v**2 + 0 + 0*v - 8/7*v**3 = 0.
0, 1/3, 1
Let p(x) = -x**3 + 7*x**2 + 2*x - 9. Let f be p(7). Suppose 0 = -2*j - f*m - 21, 2*m = -m - 15. Factor -3*y**j - 1 - 1 - 2*y - 2*y - 3*y.
-(y + 2)*(3*y + 1)
Let u(p) be the third derivative of -p**9/9072 + p**7/2520 - p**3/6 - 3*p**2. Let d(h) be the first derivative of u(h). Suppose d(y) = 0. What is y?
-1, 0, 1
Let i be (2/(-4))/(2/(-8)). Let a = 2/15 + 7/15. Determine z, given that -6/5 - a*z + 3/5*z**i = 0.
-1, 2
Suppose 5*y - j - 21 + 4 = 0, y + 3*j = -3. Factor -1/5 - 1/5*f**y + 1/5*f + 1/5*f**2.
-(f - 1)**2*(f + 1)/5
Let i(a) be the second derivative of a**2 - 3/80*a**5 + 4*a + 7/24*a**4 + 0 - 5/6*a**3. Factor i(g).
-(g - 2)**2*(3*g - 2)/4
Let k(s) be the first derivative of -s**6/2 + 48*s**5/5 - 135*s**4/2 + 200*s**3 - 375*s**2/2 + 3. Determine z so that k(z) = 0.
0, 1, 5
Suppose -44 - 24 = -4*p. Solve 3*d**2 - p*d**2 + 0 + 6*d**3 + 6*d + 4*d - 2 = 0.
1/3, 1
Factor 0*f**3 + 0 + 0*f - 1/8*f**5 + 0*f**2 + 0*f**4.
-f**5/8
Let z be 2 - (-1 + 2)*-1. Suppose 0 = 5*r - 0*r - 3*x - 9, z*r + 5*x - 19 = 0. Suppose 0 + 1/3*s + 1/3*s**r - 2/3*s**2 = 0. What is s?
0, 1
Factor -2/5*w**4 - 8/5 - 26/5*w**2 - 24/5*w - 12/5*w**3.
-2*(w + 1)**2*(w + 2)**2/5
Suppose -j - q = -4*q + 6, 10 = 5*q. Factor j*u**3 + 0*u**2 + u**3 + u**2.
u**2*(u + 1)
Let n(u) be the first derivative of 1 - u**2 + 0*u - 2/3*u**3. Factor n(t).
-2*t*(t + 1)
Suppose -3*s - 26 = 2*s - 4*t, 5*s + 4*t - 6 = 0. Let l be (-3 - -3)*(s + 1). Factor -6*u - u**2 + l*u**2 + 5*u.
-u*(u + 1)
Let k(h) be the first derivative of 32*h**5/25 + 11*h**4/5 + 4*h**3/5 + 22. Solve k(x) = 0.
-1, -3/8, 0
Let b(f) = 27*f**4 + 43*f**3 + 12*f**2 - 7. Let k(q) = 18*q**4 + 29*q**3 + 8*q**2 - 5. Let h(j) = -5*b(j) + 7*k(j). Factor h(w).
-w**2*(3*w + 2)**2
Solve -6/5*c**2 - 6/5*c + 6/5*c**4 + 0 + 6/5*c**3 = 0 for c.
-1, 0, 1
Let p = -3 - -7. Let i = 78 - 74. Let -2*o**2 + i + 3*o + p*o + 4*o**2 - o = 0. Calculate o.
-2, -1
Suppose -55 = -2*l - 3*l. Let v = l - 9. Factor d + 2*d**3 - 4*d**v - d**3 + 2*d**2.
d*(d - 1)**2
Solve -2/5*o**3 + 2/5*o**4 - 2/5*o**2 + 0 + 2/5*o**5 + 0*o = 0 for o.
-1, 0, 1
Let l = 17 + -17. Let b be 0/((-6)/3) + 2. Find o, given that l*o**b - 1/2 + 1/2*o**4 + o**3 - o = 0.
-1, 1
Suppose -9*p - 30 = -4*p. Let z be p/18 + (-1)/(-3). Factor 0*v**2 + 0 + 0*v + z*v**3 + 1/4*v**5 + 1/4*v**4.
v**4*(v + 1)/4
Let k(t) be the third derivative of -1/120*t**4 - 3*t**2 - 1/15*t**3 + 0 + 0*t + 1/300*t**5. Let k(j) = 0. What is j?
-1, 2
Let q = 443 - 439. Solve 0*f**2 + 0*f**q + 2/3*f**3 - 2/3*f**5 + 0*f + 0 = 0.
-1, 0, 1
Factor 2/11*r**3 - 2/11 - 6/11*r**2 + 6/11*r.
2*(r - 1)**3/11
Let m be (4/(-6))/(4/(-3))*0. Let f(k) be the third derivative of 3*k**2 - 1/240*k**6 + 0 + 1/120*k**5 + 0*k**4 + m*k**3 + 0*k. Solve f(d) = 0.
0, 1
Let i(y) = -2*y**2 + 2*y + 1. Let x be i(2). Let b = -1 - x. Factor -z - b*z + 4*z**3 - z + 6*z**2 - 6*z**4.
-2*z*(z - 1)*(z + 1)*(3*z - 2)
Let j be -8*(-5)/25*5/2. Factor 0*n + 0 + 0*n**2 - 2/3*n**5 + 0*n**3 + 2/3*n**j.
-2*n**4*(n - 1)/3
Let p be 7 - 3 - 12/3. Let u(k) be the second derivative of -1/24*k**4 - 1/84*k**7 + 0*k**2 + p*k**3 + 0 + 1/40*k**5 + 1/60*k**6 - 2*k. What is f in u(f) = 0?
-1, 0, 1
What is y in -60*y - 5*y**4 - 82*y**2 - 12*y**3 + 3*y**3 - 18*y**2 - 36*y**3 = 0?
-6, -2, -1, 0
Suppose -15*r = -61 + 1. Factor 2/7*z**2 - 2/7*z**r + 0 + 2/7*z**3 - 2/7*z**5 + 0*z.
-2*z**2*(z - 1)*(z + 1)**2/7
Let a(k) be the second derivative of k**6/40 - 