(o) be the second derivative of o**6/120 - o**4/24 + 4*o**2 - 8*o. Let j(z) be the first derivative of i(z). Factor j(f).
f*(f - 1)*(f + 1)
Let g(l) = 9*l**2 - 6*l + 1. Let k(d) = d**2 - d. Let w(c) = 2*g(c) - 14*k(c). Let h(v) = 5*v**2 + v + 2. Let r(o) = -2*h(o) + 3*w(o). Factor r(q).
2*(q + 1)**2
Let u be (-30)/9*(-12)/8. Factor 12*j**3 - 14*j + 64*j**u + j**2 + 14*j + 48*j**4.
j**2*(4*j + 1)**3
Let c(x) be the first derivative of -x**6/3 - 14*x**5/5 - 9*x**4 - 44*x**3/3 - 13*x**2 - 6*x - 50. Factor c(z).
-2*(z + 1)**4*(z + 3)
Let c = 2/39 + 220/273. What is n in 0 + 2/7*n**3 + c*n**2 + 4/7*n = 0?
-2, -1, 0
Let -2/3*a**4 - 2/3*a**5 - 16/3*a + 8/3 + 2/3*a**2 + 10/3*a**3 = 0. What is a?
-2, 1
Let u be (-59)/(-295) + 26/5. Let -27/5*d**5 - 18*d**2 - 3/5 - 99/5*d**4 - u*d - 138/5*d**3 = 0. Calculate d.
-1, -1/3
Let t = 3/58 + 7/145. Let i(n) be the first derivative of -5/6*n**6 + 1/4*n**4 + t*n**5 + 0*n + 0*n**2 - 2 + 0*n**3. Solve i(p) = 0 for p.
-2/5, 0, 1/2
Let g = 2/51 - -28/153. Let k(d) be the first derivative of -g*d**3 + 0*d**2 + 0*d - 4 + 1/6*d**4. Find y such that k(y) = 0.
0, 1
Let u be 4/6 + 7/(-42). Let k(m) be the second derivative of 1/10*m**5 - 1/3*m**3 + 0 - u*m**2 + 1/30*m**6 + 2*m + 0*m**4. Let k(f) = 0. Calculate f.
-1, 1
Let o(n) be the third derivative of n**6/720 + n**5/120 + n**4/48 + n**3/36 - 4*n**2. Solve o(p) = 0 for p.
-1
Find n, given that 2*n**5 + 31*n**4 - 16*n**4 - 11*n**4 = 0.
-2, 0
Let a(u) be the third derivative of -1/240*u**6 + 0*u - 1/210*u**7 + 0*u**5 - 6*u**2 + 0*u**3 - 1/672*u**8 + 0*u**4 + 0. Let a(o) = 0. Calculate o.
-1, 0
Suppose -2*z = -2 + 4, 5*z = -2*h - 11. Let j = h + 6. Factor -3*a**3 - 24*a - 16 - 12*a**2 + 4*a**3 - a**3 - 2*a**j.
-2*(a + 2)**3
Let h(y) be the second derivative of y**9/1512 + y**8/840 - y**3/2 - 2*y. Let a(p) be the second derivative of h(p). Factor a(n).
2*n**4*(n + 1)
Let b = -4 + 6. Suppose -5*o - v = -14, 0*o - b*v = -4*o. Factor -8*t**3 - 5/2*t**4 + 0*t - o*t**2 + 0 + 25/2*t**5.
t**2*(t - 1)*(5*t + 2)**2/2
Let q = -15/4 + 4. Let f(p) be the first derivative of 3 + 1/12*p**3 + 1/16*p**4 - q*p - 1/8*p**2. Let f(x) = 0. What is x?
-1, 1
Let s(u) be the second derivative of -9*u**3 + 0 - 1/10*u**5 + 27*u**2 + 3/2*u**4 + 4*u. Factor s(m).
-2*(m - 3)**3
Let m(n) be the second derivative of n**6/60 - 7*n**5/150 + n**4/30 - 3*n**2 + 2*n. Let g(v) be the first derivative of m(v). Factor g(o).
2*o*(o - 1)*(5*o - 2)/5
Let k = 121/10 + -12. Let f(n) be the first derivative of 0*n - 1 - k*n**4 - 1/5*n**2 + 4/15*n**3. Solve f(g) = 0 for g.
0, 1
Let f(h) be the third derivative of 1/630*h**7 + 0*h - 2*h**2 + 1/180*h**5 - 1/180*h**6 + 0*h**4 + 0*h**3 + 0. Factor f(i).
i**2*(i - 1)**2/3
Let n(l) be the third derivative of l**8/336 - 2*l**7/105 + l**6/20 - l**5/15 + l**4/24 + 11*l**2. Solve n(o) = 0 for o.
0, 1
Determine d so that -106*d**2 - d**3 + 0*d**3 + 103*d**2 - 2*d = 0.
-2, -1, 0
Suppose 8/5*w + 8/5*w**4 - 2/5 + 16/5*w**5 - 4*w**3 - 2/5*w**2 = 0. What is w?
-1, 1/2
Let r(o) be the first derivative of 3*o**6/2 + 12*o**5/5 - 6*o**4 - 6*o**3 + 15*o**2/2 + 6*o - 14. Suppose r(i) = 0. What is i?
-2, -1, -1/3, 1
Let l(r) be the third derivative of 4/3*r**3 - r**2 + 0*r - 1/15*r**5 + 0 + 1/6*r**4. Let l(b) = 0. What is b?
-1, 2
Let n(f) = 6*f**3 + 7*f**2 - 7*f + 7. Let m(w) = -2*w**3 - 2*w**2 + 2*w - 2. Let t(q) = 14*m(q) + 4*n(q). Factor t(h).
-4*h**3
Let l(u) = 16*u**2 - u. Let f(r) = -3*r**2 + 2. Let c(w) = w**2 - 1. Let j(m) = -6*c(m) - 3*f(m). Let v(p) = 11*j(p) - 2*l(p). Determine o so that v(o) = 0.
-2, 0
Let g be 0 + -5 - (-8)/(-4). Let o = g - -7. Factor 0*t**2 + 0*t**2 + 3*t**2 + 3*t + o*t**2.
3*t*(t + 1)
Let x = 7 - 4. Determine v so that -2*v - 6*v**x + 3*v**4 - 3*v + 3*v**2 + 5*v = 0.
0, 1
Suppose x - 5 = -1. Factor -1 + t**3 + 2*t**x - 4*t**2 + 1 + t**3.
2*t**2*(t - 1)*(t + 2)
Let t(f) = f + 7. Let k be t(-5). Find i, given that -2*i**3 - 9*i**2 + 3*i**k + 4 + 0*i**2 + 4 = 0.
-2, 1
Let k(n) be the second derivative of n**9/4032 - n**7/560 + n**5/160 - n**3/3 - n. Let j(c) be the second derivative of k(c). Suppose j(s) = 0. Calculate s.
-1, 0, 1
Let o(b) be the third derivative of -b**5/270 + b**4/108 - 4*b**2. Solve o(w) = 0 for w.
0, 1
Let l be 76/(-95) - (-288)/10. Let f be (l/(-35))/(9/(-50)). Solve 56/9*z + f*z**3 + 38/3*z**2 + 8/9 - 56/9*z**4 = 0.
-1/2, -2/7, 2
Let u = -21 + 29. Let o be ((-20)/u)/(2/(-4)). Factor -3 + 9*r**2 + r**4 - 11*r**2 + 4 - 2*r**3 + r + r**o.
(r - 1)**2*(r + 1)**3
Determine i so that -15/7*i - 12/7*i**2 - 6/7 - 3/7*i**3 = 0.
-2, -1
Let g(f) be the third derivative of f**10/60480 - f**9/30240 - f**8/6720 + f**4/24 - 3*f**2. Let n(w) be the second derivative of g(w). What is p in n(p) = 0?
-1, 0, 2
Let z(a) be the first derivative of 0*a**3 - 2 + 1/6*a**4 - 2/9*a**6 + 0*a + 0*a**2 + 2/15*a**5. Factor z(t).
-2*t**3*(t - 1)*(2*t + 1)/3
Let a(t) be the first derivative of 3*t**4/8 + 5*t**3/2 + 6*t**2 + 6*t + 9. Factor a(d).
3*(d + 1)*(d + 2)**2/2
Let o = -18547/27 - -687. Let f(u) be the first derivative of -o*u**3 + 0*u**2 + 3 + 2/9*u. Factor f(l).
-2*(l - 1)*(l + 1)/9
Let m(x) be the first derivative of 1/3*x**2 + 2/9*x**4 + x + 5/9*x**3 - 2. Let f(j) be the first derivative of m(j). Factor f(k).
2*(k + 1)*(4*k + 1)/3
Let m be ((-9)/24)/((-3)/2). Suppose 9/8*u**3 + 9/8*u + m + 7/4*u**2 + 1/4*u**4 = 0. What is u?
-2, -1, -1/2
Factor -2*n - 5*n - 3*n**2 + 1 + 5 + 4*n.
-3*(n - 1)*(n + 2)
Let f(w) be the second derivative of 1/48*w**4 + 1/4*w**2 + 3/40*w**6 + 0 + 3/8*w**3 - 21/80*w**5 + 5*w. Determine x, given that f(x) = 0.
-1/3, 1, 2
Let a(w) be the first derivative of w**3 - 12*w**2 + 48*w - 7. Suppose a(d) = 0. What is d?
4
Suppose -25*b = -21*b. Factor 0*q + 0 - 1/2*q**2 + b*q**3 + 1/2*q**4.
q**2*(q - 1)*(q + 1)/2
Let v = -145 + 7831/54. Let k(y) be the second derivative of -2*y + 1/135*y**6 - v*y**4 - 1/90*y**5 + 0*y**2 + 1/27*y**3 + 0. Find f, given that k(f) = 0.
-1, 0, 1
Let w(q) be the first derivative of -3*q**5/25 + 3*q**4/20 + q**3/5 - 3*q**2/10 + 4. Let w(c) = 0. Calculate c.
-1, 0, 1
Let x(c) be the second derivative of 0 - 1/4*c**4 + 1/20*c**5 + 2*c + 1/2*c**3 - 1/2*c**2. Determine n, given that x(n) = 0.
1
Let s(a) be the second derivative of a**2/2 + a. Suppose 13*v = 17*v + 4. Let g(k) = k**3 + 2*k**2 + k + 3. Let f(l) = v*g(l) + 3*s(l). Factor f(u).
-u*(u + 1)**2
Let p(w) be the second derivative of 1/130*w**5 + 8*w - 1/13*w**2 + 0 + 1/13*w**3 - 1/26*w**4. Factor p(z).
2*(z - 1)**3/13
Factor 0*f + 4/7*f**2 + 0 + 2/7*f**4 + 6/7*f**3.
2*f**2*(f + 1)*(f + 2)/7
Let u(f) be the third derivative of -f**6/540 + f**5/90 - f**4/36 + f**3/27 + 16*f**2. Solve u(m) = 0 for m.
1
Let l(c) be the third derivative of c**7/210 - c**6/40 + c**5/60 + c**4/8 - c**3/3 + 7*c**2. Factor l(d).
(d - 2)*(d - 1)**2*(d + 1)
Let u(l) = -4*l**2 - 10*l - 14. Let t(j) = -j**2 - 3*j - 5. Let m be 1 - 2 - (2 - 0). Let s(k) = m*u(k) + 8*t(k). Factor s(h).
2*(h + 1)*(2*h + 1)
Let z(l) = l**4 - 3*l**3 + 10*l**2 - 8*l - 7. Let m(o) = -o**4 + 3*o**3 - 9*o**2 + 7*o + 6. Suppose 2*w + 1 = -11. Let n(j) = w*z(j) - 7*m(j). Factor n(u).
u*(u - 1)**3
Let r(k) be the second derivative of -1/12*k**4 + 0 - 7*k - k**2 + 1/2*k**3. Find s such that r(s) = 0.
1, 2
Let w(z) be the first derivative of z + 4 - 1/2*z**4 + z**2 - 1/5*z**5 + 0*z**3. Solve w(q) = 0.
-1, 1
Let k be (-18)/(-6) + (1 - 2). Find o, given that 25*o - 4*o**k + 7*o**2 - 16*o = 0.
-3, 0
Let p(m) = 8*m**4 + 4*m**3 - 4*m**2 + 8*m - 4. Let j(h) = -h**5 - h**3 - h**2 - h + 1. Let g(z) = 4*j(z) + p(z). Factor g(t).
-4*t*(t - 1)**3*(t + 1)
Let f(h) be the second derivative of -5*h**7/42 - 7*h**6/30 + 13*h**5/20 + 11*h**4/12 - 4*h**3/3 - 2*h**2 + 4*h. Let f(w) = 0. What is w?
-2, -1, -2/5, 1
Let r(j) be the second derivative of 3*j**7/7 + 19*j**6/10 + 3*j**5 + 3*j**4/2 - j**3 - 3*j**2/2 + 3*j. Solve r(v) = 0 for v.
-1, -1/2, 1/3
Let i be (-2)/6 - 3/(-6). Let x(k) be the second derivative of 1/20*k**5 + k + 0 + 1/6*k**4 + 0*k**2 + i*k**3. Factor x(o).
o*(o + 1)**2
Suppose 2*z + 0*z - 4 = 0. Determine r, given that 57*r**3 - 6 - 7 + 18*r**z - 21*r**4 - 84*r - 11 = 0.
-1, -2/7, 2
Let d = 1615 + -121123/75. Let y(h) be the second derivative of -1/50*h**5 + 0*h**2 - 3*h - 1/105*h**7 + 0 + 0*h**3 + d*h**6 + 0*h**4. Factor 