2*f**2*(f - 1)*(f + 1)**2/7
Let l(c) = c**3 - 9*c**2 + 3. Let j be l(9). Factor 2/5*o**j + 2/5 - 2/5*o**2 - 2/5*o.
2*(o - 1)**2*(o + 1)/5
Let s(y) = -2*y. Let q be s(-4). Suppose 2*h = -0 + q. Factor -w**h - 4*w**3 + 4*w - 3*w**2 + 5*w**3 - 3*w + 2*w**3.
-w*(w - 1)**3
Let a(c) = -6*c**2 - 6*c - 6. Let n(j) = -7*j**2 - 7*j - 6. Let f(g) = -3*a(g) + 2*n(g). Let k(l) = 5*l**2 + 4*l + 7. Let m(s) = -4*f(s) + 3*k(s). Factor m(o).
-(o + 1)*(o + 3)
Let n(l) = 3*l**3 + 4. Let t(d) = -d**3 - d**2 - d - 1. Let p(v) = -n(v) - 4*t(v). Factor p(s).
s*(s + 2)**2
Let q(i) be the third derivative of i**6/160 + 7*i**5/80 + 15*i**4/32 + 9*i**3/8 + 8*i**2. Let q(b) = 0. Calculate b.
-3, -1
Let v(h) be the third derivative of h**9/30240 - h**8/2240 + h**7/420 - h**6/180 - h**4/24 - 3*h**2. Let s(w) be the second derivative of v(w). Factor s(m).
m*(m - 2)**3/2
Let -3/7*w**3 - 2/7*w - 5/7*w**2 + 0 = 0. What is w?
-1, -2/3, 0
Suppose 81*f + 16 = 89*f. Factor -4/3*w**3 + 2/3 + w**f + 3*w.
-(w - 2)*(w + 1)*(4*w + 1)/3
Let -m + 2 - 4*m**2 + 13*m - 10 = 0. Calculate m.
1, 2
Let w(z) be the second derivative of 2*z + 3/5*z**2 - 1/50*z**5 + 0 - 1/10*z**4 + 1/15*z**3. Find k, given that w(k) = 0.
-3, -1, 1
Let w(s) = -s**2 - 4*s - 3. Let c be w(-3). Let n(r) be the third derivative of -2*r**2 + c*r + 0*r**3 + 1/24*r**4 + 1/60*r**5 + 0. What is d in n(d) = 0?
-1, 0
Let o(j) be the first derivative of 49*j**4/10 - 70*j**3/3 + 88*j**2/5 - 24*j/5 - 13. Factor o(k).
2*(k - 3)*(7*k - 2)**2/5
Let f = -1 - -1. Determine z, given that -2 + 0 + f*z + z + z**2 + 0*z**2 = 0.
-2, 1
Suppose -5*u**3 - 24*u**4 - u**5 + 5*u**5 - 32*u**2 + 53*u**3 = 0. What is u?
0, 2
Let d(m) = -m**3 + m**2 - m - 1. Let o(t) = -21*t**2 + 30*t + 21. Let n(s) = -15*d(s) - o(s). Find p such that n(p) = 0.
-1, -2/5, 1
Suppose 3*d + d + 6 = w, d - 5*w + 11 = 0. Let h = 3 + d. Factor 0 - 4/3*m - 2/3*m**4 + h*m**2 + 0*m**3.
-2*m*(m - 1)**2*(m + 2)/3
Let b = 10 + -6. Let 12/5*v**b - 28/5*v**3 - 12/5*v**2 + 0 + 4*v**5 + 8/5*v = 0. Calculate v.
-1, 0, 2/5, 1
Let u be (150/8)/(-5) - (-5 + 1). Solve 0 + u*d**2 + 0*d = 0 for d.
0
Let w(s) = -s**4 - 9*s**3 - 24*s**2 - 27*s - 3. Let i(j) = 2*j**4 + 18*j**3 + 49*j**2 + 54*j + 5. Let q(u) = -3*i(u) - 5*w(u). Factor q(p).
-p*(p + 3)**3
Let r(i) = i**3 + i - 1. Let d(l) = 6*l**3 - 20*l**2 + 26*l - 2. Let h(u) = d(u) - 2*r(u). Factor h(v).
4*v*(v - 3)*(v - 2)
Suppose -5*j - 12 = -9*j. Let g be -6*((-4)/(-27))/(-2). Solve -2/3*r + 2/9*r**j + 0*r**2 - g = 0.
-1, 2
Let u(x) be the second derivative of -1/18*x**4 + 2/3*x**3 - 3*x**2 + 0 - 2*x. Factor u(g).
-2*(g - 3)**2/3
Let o(g) be the third derivative of -1/420*g**8 - 1/50*g**6 + 0*g + 3*g**2 - 2/175*g**7 + 0 + 0*g**4 - 1/75*g**5 + 0*g**3. Find i such that o(i) = 0.
-1, 0
Suppose -2 = -5*u + 13. Factor x**2 - 5*x**4 + u*x**2 + 2*x**3 - 5*x**2 + 4*x**4.
-x**2*(x - 1)**2
Factor -8*u**2 - 4*u - 19*u**2 + 13*u**2.
-2*u*(7*u + 2)
Suppose 4/5*s**4 + 12/5*s**3 + 4/5*s + 0 + 12/5*s**2 = 0. Calculate s.
-1, 0
Let 2/5*h**4 + 0*h + 14/5*h**3 + 0 + 4*h**2 = 0. What is h?
-5, -2, 0
Suppose 44*w - 7*w**5 + 8 + 44*w**2 - 19*w**3 - 52*w**4 - 9*w**5 - 9*w**3 = 0. Calculate w.
-2, -1, -1/4, 1
Let y = 9 - 6. Suppose y*q + 3 - 9 = 0. What is a in 0*a + 0 + 0*a**4 + 1/4*a**5 + 0*a**q - 1/4*a**3 = 0?
-1, 0, 1
Factor 61*i**3 + 5*i**5 - 128*i**3 + 52*i**3 - 10*i**2.
5*i**2*(i - 2)*(i + 1)**2
Let j(k) be the first derivative of -k**6/75 + 3*k**5/50 - k**4/30 - k**3/5 + 2*k**2/5 - k + 1. Let x(d) be the first derivative of j(d). What is s in x(s) = 0?
-1, 1, 2
Let o = 4 - 2. Factor 4 + 2*m**2 + 0*m**o - m + 2*m**2 + 9*m.
4*(m + 1)**2
Let q be (162/36)/(-2 + (-23)/(-4)). Factor 0 - 9/5*s**2 - q*s.
-3*s*(3*s + 2)/5
Let d(b) = 2*b - 6. Let l be d(4). Suppose 0 = 4*n - x - 8, 3*n + 5*x = 4*n + 17. Factor 2*p**3 + 0*p**3 + 1 + 4*p + 6*p**2 + p**4 + l*p**n.
(p + 1)**4
Let v = 1430 - 55766/39. Let z(u) be the third derivative of 0*u + 1/39*u**4 - 1/390*u**5 - 4*u**2 - v*u**3 + 0. Factor z(x).
-2*(x - 2)**2/13
Let d = -76/11 + 1184/165. Let j(n) be the first derivative of 0*n - 3 - 1/5*n**2 + d*n**3 - 1/10*n**4. Factor j(o).
-2*o*(o - 1)**2/5
Let v(m) = -4*m**5 - 34*m**4 - 48*m**3 - 28*m**2 - 4*m - 6. Let x(d) = 5*d**5 + 34*d**4 + 47*d**3 + 27*d**2 + 4*d + 5. Let z(n) = 5*v(n) + 6*x(n). Factor z(y).
2*y*(y + 1)**3*(5*y + 2)
Let q(g) = g**4 - 2*g**3 + 9*g**2 + 6*g. Let h(m) = m**4 - m**3 + 8*m**2 + 5*m. Let r(d) = 6*h(d) - 5*q(d). Determine j, given that r(j) = 0.
-3, -1, 0
Let x(d) be the first derivative of 3*d**5/35 - 3*d**4/14 + d**3/7 - 11. Factor x(y).
3*y**2*(y - 1)**2/7
Let 48*k**3 - 23*k + 114*k**3 + 8*k**2 - 162*k**4 + 15*k = 0. What is k?
-2/9, 0, 2/9, 1
Let 4*s**2 - s + 0*s**2 - s**2 - 3*s**4 + 4*s - 3*s**3 = 0. Calculate s.
-1, 0, 1
Let q(r) = 15*r**4 + 25*r**3 + 20*r**2 - 40*r - 20. Let o(d) = -d**4 - d**3 + d + 1. Let v(c) = 20*o(c) + q(c). Factor v(n).
-5*n*(n - 2)*(n - 1)*(n + 2)
Let d be 2*3/((-3)/(-2)). Suppose -3 + 11 = d*h. Factor -1/3*s**h + 1/3*s + 0.
-s*(s - 1)/3
Solve -6/7*j + 10/7*j**2 - 4/7 = 0.
-2/5, 1
Let t(k) = 6*k**3 - k**2 + k - 13. Let a(d) = 4*d**3 - d**2 + d - 9. Suppose -4*u - 3*p = 28, 0 = -4*p - 0*p. Let y(x) = u*a(x) + 5*t(x). Factor y(f).
2*(f - 1)*(f + 1)**2
Let j(s) be the third derivative of 9/140*s**5 + 0*s**3 - 3*s**2 + 0 + 0*s + 1/28*s**4. Factor j(z).
3*z*(9*z + 2)/7
Let v be 8/40 + 1/(-5). Let m be 8*((-1)/(-2) + v). Determine p, given that -4/3*p**3 - 2/3*p**2 + 0 + 0*p - 2/3*p**m = 0.
-1, 0
Let u be (0 + -4)*(-9)/12. Let i = -5/2 + 11/4. Factor 0 + 1/2*p**2 - i*p**u - 1/4*p.
-p*(p - 1)**2/4
Let u(a) be the second derivative of 4*a**3 + 1/4*a**4 - 2*a + 0 + 24*a**2. Factor u(m).
3*(m + 4)**2
Let v(u) be the third derivative of -u**4/24 - 3*u**2. Let y be v(-2). Factor 18/11*p**y - 14/11*p**3 - 10/11*p + 4/11*p**4 + 2/11.
2*(p - 1)**3*(2*p - 1)/11
Let t(m) = -m**2 - 6*m - 3. Let g be t(-2). Suppose -g*h + 3*h + 4 = 0. Factor 2/5 - 2/5*w**h + 0*w.
-2*(w - 1)*(w + 1)/5
Factor 39/2*j**3 + 0 + 6*j - 18*j**2 - 9*j**4 + 3/2*j**5.
3*j*(j - 2)**2*(j - 1)**2/2
What is o in 0 + 3/4*o**2 + 3/4*o = 0?
-1, 0
Suppose 2*z + 4*l + 12 = -z, -5*l = 15. Let h(v) be the first derivative of -4 + 0*v**3 + z*v + 1/14*v**4 + 0*v**2. Factor h(u).
2*u**3/7
Let q(u) be the second derivative of -1/6*u**2 + 3*u + 1/12*u**3 + 0 - 1/72*u**4. Suppose q(n) = 0. Calculate n.
1, 2
Let x = -5 + 5. Suppose k - 3*k = x. Suppose 2/5*h**4 + 4/5*h**3 + 0*h + k + 2/5*h**2 = 0. What is h?
-1, 0
Let k(y) = -y - 5. Let m be k(-7). Let g(c) be the third derivative of 1/60*c**5 + 1/18*c**3 + 0 + 0*c - c**m + 1/18*c**4. Factor g(u).
(u + 1)*(3*u + 1)/3
Let x(y) = -8*y**2 + 10*y - 2. Let o(f) = 2*f**2 + f. Let j be o(2). Let r(z) = -z**2 + z. Let k(w) = j*r(w) - x(w). Solve k(a) = 0 for a.
-1, 1
Let u(o) be the third derivative of o**6/120 - o**5/60 + 2*o**2. Let m be u(2). Let n**m + n - 5*n + 4*n = 0. What is n?
0
Suppose -3*f = 4*w - 44, -23 = -4*f + 3*w - 6. Solve -5 + 0 - 4 + 0 + f*m**3 + 24*m - 22*m**2 - m**4 = 0 for m.
1, 3
Let t = 643 + -643. Determine g, given that t - 4/17*g - 2/17*g**2 = 0.
-2, 0
Factor 2/11*v**2 + 2/11*v + 0.
2*v*(v + 1)/11
Let b(w) be the third derivative of 3*w**8/28 - w**7/6 - w**6/40 + w**5/30 + 10*w**2. Let b(q) = 0. What is q?
-1/4, 0, 2/9, 1
Let s(u) be the first derivative of -3*u**4/4 - 8*u**3/3 - 7*u**2/2 - 2*u + 3. Factor s(k).
-(k + 1)**2*(3*k + 2)
Determine x, given that -1/4*x**2 + 1/4*x**3 + 0 - 1/4*x + 1/4*x**4 = 0.
-1, 0, 1
Factor 28*n - 4*n**2 - 29 + 37 + 26*n**2 + 5*n**3.
(n + 2)**2*(5*n + 2)
Let q(f) be the first derivative of -f**5 + 10*f**4 - 110*f**3/3 + 60*f**2 - 45*f + 7. Suppose q(t) = 0. Calculate t.
1, 3
Let l(u) be the third derivative of u**8/210 - u**7/210 + u**6/720 + 5*u**3/6 + 2*u**2. Let a(s) be the first derivative of l(s). Find x such that a(x) = 0.
0, 1/4
Let n(k) = 3*k - 77. Let m be n(27). Find c, given that -8/3*c + 8/3*c**2 + 0 - 2/3*c**5 + 2*c**3 - 4/3*c**m = 0.
-2, 0, 1
Let i(u) be the second derivative of -u**4/3 - 16*u**3/3 - 50*u. Solve i(w) = 0 for w.
-8, 0
Let q(l) be the second derivative of l**6/30 - l**5/10 - l**4/12 + l**3/3 + 10*l. Let q(z) = 0. What is z?
-1, 0, 1, 2
Let p be (6/3 - (1 + -1)) + 1. Let -q**2 + 1/3*q**p - 1/3 + q = 0. What is q?
1
Let z(c) be the third derivat