 1/2*p**2 - 1/4*p**4 - 1/4 + 0*p**3 + j*p = 0.
-1, 1
Let r(x) be the third derivative of -3*x**2 + 4/3*x**3 + 0 + 0*x + 7/30*x**5 + 4/3*x**4. Solve r(w) = 0 for w.
-2, -2/7
Let q = -4/825 + 1/55. Let n(u) be the third derivative of 1/60*u**4 + u**2 + 0 + 0*u**3 + 0*u + q*u**5. Factor n(s).
2*s*(2*s + 1)/5
Let p = 4675/4109 - -3/587. Factor -8/7 - 2/7*b**2 - p*b.
-2*(b + 2)**2/7
Factor -22*n**3 + 12*n - 8 - 2*n**2 + n**3 + 4*n**4 + 6*n**2 + 9*n**3.
4*(n - 2)*(n - 1)**2*(n + 1)
Suppose -3*j - u - 6 = -4*u, -2*u + 10 = 0. Factor -3*s**5 - 4*s**3 + 8*s**4 + 2*s**2 - s**3 - 2*s**j.
-s**2*(s - 1)**2*(3*s - 2)
Factor -40*w**3 + 5*w**4 - 47*w**3 + 77*w**3.
5*w**3*(w - 2)
Let 64/7*p**5 - 12*p**3 + 0 - 2/7*p - 80/7*p**4 - 23/7*p**2 = 0. What is p?
-1/4, 0, 2
Let o(b) be the third derivative of b**7/5040 - b**6/720 + b**5/240 + b**4/12 - 3*b**2. Let d(h) be the second derivative of o(h). Let d(i) = 0. Calculate i.
1
Let l = -1475 + 7379/5. Find c, given that -l*c + 6/5*c**2 + 0 - 2/5*c**3 = 0.
0, 1, 2
Suppose 8 = 3*u - 4. Find q, given that 6*q**3 - 2*q**3 - 3*q**u + 3*q**4 + 2*q**4 = 0.
-2, 0
Let z(k) be the third derivative of -k**5/60 + k**4/6 - 2*k**3/3 + 9*k**2. Suppose z(r) = 0. Calculate r.
2
Factor -6*l + 4*l + 5 + 2*l**2 - 5.
2*l*(l - 1)
Let y = 1095 - 7611/7. Let 24/7*r - y*r**3 - 32/7*r**4 + 16/7 - 6/7*r**5 - 20/7*r**2 = 0. Calculate r.
-2, -1, 2/3
Let w(t) = t**3 - 6*t**2 + 7*t - 5. Let r be w(5). Suppose -3*o - 7 = r*c - 7*c, -4*o = 3*c - 2. Factor 6/7*b**3 + 8/7*b**c - 4/7 - 2/7*b.
2*(b + 1)**2*(3*b - 2)/7
Let r(d) = -d**2 - 3*d + 2. Let f be r(-3). Factor 4 - 3*l - l**2 + 7*l + 2*l**f.
(l + 2)**2
Let u be -11 - -7 - (3 - (-297)/(-42)). Let g(k) be the first derivative of -2/21*k**3 - 1 - u*k**4 + 2/7*k**2 + 0*k. Factor g(a).
-2*a*(a - 1)*(a + 2)/7
Suppose 0 - 1/3*t - 1/3*t**2 = 0. Calculate t.
-1, 0
Let r = -16/5 + 28/5. Find x, given that -24/5*x - r + 3*x**2 = 0.
-2/5, 2
Suppose 3*g = -5*m + 56, -g - 4*g - 28 = -m. Let p = m - 8. What is d in -5 + p - d + 2*d**2 - d**3 = 0?
0, 1
Let o(b) = -b**2 - b + 1. Let x(u) = 2*u**2 - u - 2. Let m(p) = o(p) - x(p). Solve m(q) = 0.
-1, 1
Let o be -3*47/(-12) - 2. Let u = 10 - o. Let 0*y - 1/4 + u*y**2 = 0. Calculate y.
-1, 1
Let t be 8/(-960)*4/(-11). Let h(n) be the third derivative of t*n**5 + 4/33*n**3 + 0*n + 0 - 3*n**2 + 1/33*n**4. Let h(m) = 0. Calculate m.
-2
Let r(m) be the first derivative of -m**3/3 + m**2/2 - m - 4. Let h(o) = -2*o**2 + 3. Let v(j) = -2*h(j) - 2*r(j). Solve v(l) = 0.
-2/3, 1
Let t(m) be the second derivative of -m**6/2160 - m**5/360 - 7*m**3/6 - m. Let a(z) be the second derivative of t(z). Factor a(r).
-r*(r + 2)/6
Suppose 5*f - 36 = -6. Suppose -19 = -f*l - 1. Determine s so that -1/3*s**4 + 2/3*s + 0*s**2 + 1/3 - 2/3*s**l = 0.
-1, 1
Suppose 6 + 3*x - 30 + 0 - 2*x**3 - x**3 + 24*x**2 = 0. What is x?
-1, 1, 8
Let i(n) = n + 5. Let p be i(-3). Determine q, given that 16*q - 9*q**2 - 8 - q**p + 2*q**3 - q**3 + q**3 = 0.
1, 2
Let c(x) be the second derivative of -x**5/10 - x**4/2 - 2*x**3/3 + 8*x. What is i in c(i) = 0?
-2, -1, 0
Let p(x) = -x**2 - 6*x + 9. Let v be p(-7). Factor -2 - v*k - 2*k - k**2 + 5*k + 4.
-(k - 2)*(k + 1)
Let i be (0 - -3) + (1 - 2). Determine v, given that 2*v + 2*v**i + 2*v**3 - 2*v**2 - 4*v**3 = 0.
-1, 0, 1
Let l = -6 - -9. Determine y so that l*y + 5*y**3 - 5*y**3 - 12*y**2 + 3*y**5 - 6*y**3 + 6*y**4 + 6 = 0.
-2, -1, 1
Let f = -388/5 + 78. Suppose -5*a + 1 = 3*c, a - 3*a = 2. Find d such that -c*d**2 - 16/5*d - f*d**3 - 8/5 = 0.
-2, -1
Let n(s) = -3*s**2 - 14*s + 41. Let g(j) = 2*j**2 + 14*j - 43. Let y(h) = -4*g(h) - 3*n(h). Find k, given that y(k) = 0.
7
Factor 0*z - 6/7*z**2 + 3/7*z**3 + 0.
3*z**2*(z - 2)/7
Let o(m) be the first derivative of m**8/336 - m**6/60 + m**4/24 + m**2/2 + 1. Let x(v) be the second derivative of o(v). Let x(b) = 0. What is b?
-1, 0, 1
Let u(h) = -105*h**5 + 105*h**4 + 65*h**3 - 25*h**2 + 40*h. Let w(c) = 8*c**5 - 8*c**4 - 5*c**3 + 2*c**2 - 3*c. Let x(p) = 3*u(p) + 40*w(p). Factor x(s).
5*s**2*(s - 1)**2*(s + 1)
Let p(b) be the third derivative of 1/12*b**3 - b**2 + 1/48*b**4 - 1/240*b**6 + 0*b + 0 - 1/120*b**5. Factor p(u).
-(u - 1)*(u + 1)**2/2
Find z such that 3/4*z**4 - 9/4*z**2 + 3/4*z**3 + 3/2 - 3/4*z = 0.
-2, -1, 1
Let k(n) be the first derivative of n**6/2 + 3*n**5/5 + 2. Factor k(y).
3*y**4*(y + 1)
Let x(u) = 5*u**2 + 4*u - 9. Let v(q) = q**3 - 9*q**2 + 4. Let f be v(9). Let h(r) = 3*r**2 + 2*r - 5. Let o(t) = f*x(t) - 7*h(t). Let o(i) = 0. Calculate i.
1
Let y(v) = -6*v**5 - 3*v**4 + 6*v**3 - 3*v - 3. Let x(o) = -11*o**5 - 5*o**4 + 12*o**3 - 6*o - 5. Let w(u) = 3*x(u) - 5*y(u). Factor w(q).
-3*q*(q - 1)**2*(q + 1)**2
Suppose 0 = -4*l + 9*l - 20. Let q(m) be the second derivative of -1/42*m**l + 0 + 4/21*m**3 - 4/7*m**2 + 2*m. Suppose q(h) = 0. What is h?
2
Let r be (-9)/(-6) - 2/(-4). Solve 8*h - 2*h**2 - 7*h - h**3 + r*h**3 = 0 for h.
0, 1
Let l be (2/6)/(77/99). Let l*o**4 + 1/7*o + 5/7*o**2 + 0 + o**3 = 0. Calculate o.
-1, -1/3, 0
Let h be 7/2 - (14 - 11). Let v(p) be the first derivative of 1/24*p**6 - 1/6*p**3 + 3 + 3/8*p**2 + h*p - 1/4*p**4 + 0*p**5. Let v(u) = 0. Calculate u.
-1, 1, 2
Suppose 3*l + 3*d = 0, 0 = 5*l - 6*d + 5*d - 18. Suppose -x**2 - 2*x + x**2 - 4*x**l + 6*x**2 = 0. Calculate x.
0, 1/2, 1
Let w(j) be the third derivative of j**6/240 + j**2. Factor w(z).
z**3/2
Suppose -3*c + 2 = 5. Let b be 13/52 + (c - -1). Determine i so that 1/4*i + 0 + i**4 - b*i**3 - i**2 = 0.
-1, 0, 1/4, 1
Let d be 1 + -3 + 64/16. Solve d*c**2 + 2*c + 0*c + 0*c**2 + 0*c**2 = 0 for c.
-1, 0
Let a(u) = -u + 2. Let s(o) = -4*o + 9. Let h(t) = 9*a(t) - 2*s(t). Let z be h(-4). Find q, given that -26*q**2 - 24*q**z + 4*q - 45 + 46*q**3 + 45 = 0.
0, 1/4, 2/3, 1
Let k(f) = f**3 - 2*f**2 - 3*f + 1. Let p(g) = -g - 15. Let c be p(-14). Let z(s) = s**2 + s - 1. Let u(x) = c*k(x) - z(x). Factor u(a).
-a*(a - 2)*(a + 1)
Let n be (-123)/(-90) - 8/6. Let c(k) be the second derivative of -1/9*k**3 + k + n*k**5 - 1/18*k**4 + 0 + 1/45*k**6 + 0*k**2. Factor c(p).
2*p*(p - 1)*(p + 1)**2/3
Let l(r) = -r**2 - 9*r + 3. Let n be l(-9). Let s(x) be the second derivative of -2*x + 0*x**n - 1/36*x**4 + 0*x**2 + 0 + 1/60*x**5. Factor s(u).
u**2*(u - 1)/3
Suppose -o + 26 = 3*j - 3*o, 4 = -o. Let k be (j - 7)/(21/(-6)). Factor k*u**2 + 6/7*u + 4/7.
2*(u + 1)*(u + 2)/7
Factor -2 + 7/2*r**2 - 6*r.
(r - 2)*(7*r + 2)/2
Factor -2*o - 4*o**3 + 0*o**4 + 121 + o**4 - 121 + 5*o**2.
o*(o - 2)*(o - 1)**2
Let n = -7 - -9. Suppose 3*m = 0, -2*a + 3*a - 5*m - n = 0. Factor 1/3*d**a + 0*d + 0.
d**2/3
Let r(t) be the third derivative of -5*t**5/6 - 5*t**4/2 - 3*t**3 - 8*t**2. Factor r(y).
-2*(5*y + 3)**2
Let u(b) = -4*b**2 - 10*b - 20. Let s(w) = -5*w**2 - 9*w - 21. Let r(y) = 4*s(y) - 6*u(y). Factor r(l).
4*(l + 3)**2
Let s be (6/160)/((-90)/(-40)). Let u(w) be the third derivative of 2*w**2 + 1/24*w**4 + 0*w**3 + s*w**5 + 0*w + 0. Determine c, given that u(c) = 0.
-1, 0
Let a = 577 + -577. Let a*s + 2/5*s**5 - 4/5*s**2 + 0 + 4/5*s**4 - 2/5*s**3 = 0. What is s?
-2, -1, 0, 1
Let t = 13 + -7. Suppose 2*p + 2 = t. Factor 2*l + 4*l**2 + 0*l**p - 2*l**2.
2*l*(l + 1)
Factor 1/5 - 2/5*t**2 + 1/5*t + 1/5*t**4 - 2/5*t**3 + 1/5*t**5.
(t - 1)**2*(t + 1)**3/5
Let z(n) be the first derivative of -4*n**3/3 - 24*n**2/5 - 16*n/5 + 14. Factor z(m).
-4*(m + 2)*(5*m + 2)/5
Suppose -10 = -4*j + 2*l, -j + 9 - 6 = -l. Factor 1/6*z**j + 2/3 + 2/3*z.
(z + 2)**2/6
Factor -n**4 + 12*n**2 - 4*n**4 + n**4 - 8*n.
-4*n*(n - 1)**2*(n + 2)
Let g be ((-8)/(-20))/((-1)/5). Let r be (-7)/7*g/4. Suppose -r*j**3 - 2*j + 0 + 2*j**2 = 0. Calculate j.
0, 2
Let l(r) = -r + 4. Let s be l(0). Factor 0*y**2 + 2*y**2 + 3*y**3 + 5*y**2 - s.
(y + 1)*(y + 2)*(3*y - 2)
Let n(z) be the first derivative of -1/60*z**5 + 0*z**3 + 0*z + 0*z**4 - 2 - 3/2*z**2. Let j(r) be the second derivative of n(r). Suppose j(h) = 0. What is h?
0
Let v be (-28)/(-10) + 16/80. Determine g so that -g - 4*g + 6*g**3 - 2*g**v + g = 0.
-1, 0, 1
Let s(p) be the first derivative of -p**5/20 - p**4/8 + p**3/12 + p**2/4 + 18. Find i such that s(i) = 0.
-2, -1, 0, 1
Let z = 28 + 12. Suppose -82*h**2 + z - 10*h**4 - 32*h - 8 - 14*h**2 - 56*h**3 = 0. What is h?
-2, 2/5
Let h(f) be the first derivative of -5*f**6/2 - 11*f**5 - 75*f**