5/25 - 9*c**4/20 + 4*c**3/5 + 6*c**2/5 + 24. Solve l(x) = 0 for x.
-1, 0, 2
Let j(w) = w**2 + w - 6. Let z be j(-3). Let s(v) be the second derivative of 0*v**4 - 1/3*v**2 + 1/45*v**6 - 1/15*v**5 + z + 2/9*v**3 + 2*v. Factor s(l).
2*(l - 1)**3*(l + 1)/3
Let a = -2 - 3. Let k(x) = x**3 + 4*x**2 - 6*x - 2. Let v be k(a). Factor l**3 + l**3 - l**v.
l**3
Suppose -2*o + 7 + 12 = 3*p, -3*o - p + 18 = 0. Suppose o*k - 2*q + 5*q - 19 = 0, 11 = 4*k + q. Factor 0 - 1/3*l**k + 0*l - 1/3*l**3.
-l**2*(l + 1)/3
Suppose -5*u - q = -19 + 7, 5*u - 20 = -5*q. Factor -u*f**2 + 5*f**2 + 5*f**2 - 2*f**2 - 2*f**4 + 4*f.
-2*f*(f - 2)*(f + 1)**2
Let o(x) = -12*x**2 - 88*x + 32. Let z(t) = -t**2 - 8*t + 3. Let k(c) = -3*o(c) + 32*z(c). Determine m, given that k(m) = 0.
-2, 0
Let u(i) = -3*i**2 - 20*i - 17. Let r(q) = -q**2 - 7*q - 6. Let d = 9 + -20. Let l(t) = d*r(t) + 4*u(t). Factor l(s).
-(s + 1)*(s + 2)
Let i(t) be the third derivative of t**6/12 + 7*t**5/12 + 5*t**4/8 - 15*t**2. Factor i(j).
5*j*(j + 3)*(2*j + 1)
Let k(b) be the first derivative of b**7/1050 - b**6/150 + b**5/50 - b**4/30 + b**3 + 6. Let i(j) be the third derivative of k(j). Factor i(d).
4*(d - 1)**3/5
Let d = -2/43 - -100/301. Factor 6/7*s**2 + 6/7*s + d + 2/7*s**3.
2*(s + 1)**3/7
Let g be 84/7*1/4. Let a be g*(0 - 1) + 5. Factor 2/3*x**4 - 2*x**a + 0 + 0*x**3 - 4/3*x.
2*x*(x - 2)*(x + 1)**2/3
Suppose -6*k = -k. Let f(n) be the second derivative of n + 8/15*n**3 - 1/10*n**4 - 9/50*n**5 + 4/5*n**2 + k. Factor f(z).
-2*(z - 1)*(3*z + 2)**2/5
Factor 20/7*l**3 + 8/7*l**2 - 20/7*l - 8/7.
4*(l - 1)*(l + 1)*(5*l + 2)/7
Factor 4/7 + 1/7*f**2 - 5/7*f.
(f - 4)*(f - 1)/7
Let x(d) be the third derivative of -d**5/60 - d**4/24 + d**3/3 - 8*d**2. Factor x(g).
-(g - 1)*(g + 2)
Suppose 3*n - 4*i - 26 = 0, i + i = -5*n. Factor 10*q**4 - 3*q**5 + n + q**5 - 4*q - 2 - 18*q**3 + 14*q**2.
-2*q*(q - 2)*(q - 1)**3
Factor 2/3 + 2/3*j**2 + 4/3*j.
2*(j + 1)**2/3
Let f(d) be the first derivative of 1/8*d**3 + 7 - 3/4*d - 3/16*d**2. Find a, given that f(a) = 0.
-1, 2
Let h(s) = 3*s**5 - 10*s**3 - 4*s**2 + 3*s + 4. Let w(g) = -6*g**5 + 21*g**3 + 9*g**2 - 6*g - 9. Let a(l) = -9*h(l) - 4*w(l). Let a(m) = 0. What is m?
-1, 0, 1
Let z = 49/5 - 1318/135. Let u(a) be the third derivative of 0*a**6 + 0*a**4 + 0 - 1/135*a**5 + 0*a + 1/945*a**7 + z*a**3 - a**2. Factor u(f).
2*(f - 1)**2*(f + 1)**2/9
Let r(q) be the first derivative of 5*q**4/4 - 40*q**3/3 - 20. Find u such that r(u) = 0.
0, 8
Let z(y) be the first derivative of 44*y**3/3 - 18*y**2 - 8*y - 5. Suppose z(h) = 0. Calculate h.
-2/11, 1
Let c(u) = -16*u**4 - 50*u**3 - 198*u**2 - 230*u - 106. Let y(t) = -5*t**4 - 17*t**3 - 66*t**2 - 77*t - 35. Let w(f) = 3*c(f) - 10*y(f). Solve w(l) = 0.
-4, -1
Let r(g) be the second derivative of 1/210*g**7 + 1/30*g**3 + 0 + 0*g**2 - g - 2/75*g**6 + 3/50*g**5 - 1/15*g**4. Solve r(k) = 0.
0, 1
Let v(d) be the third derivative of -1/6*d**3 + 1/24*d**5 + 1/60*d**6 + 0*d - 7/48*d**4 - 6*d**2 + 0. Find u, given that v(u) = 0.
-2, -1/4, 1
Let u(n) be the first derivative of n**5/150 + n**4/15 + 4*n**3/15 - n**2 + 4. Let r(d) be the second derivative of u(d). Let r(y) = 0. What is y?
-2
Let h = 295/3 + -97. Find m, given that -2/3 - 2/3*m**2 + h*m = 0.
1
Let i = 492/1673 + -2/239. Let u(k) be the first derivative of 2/7*k + i*k**2 - 4 + 2/21*k**3. Factor u(j).
2*(j + 1)**2/7
Let b be 28/(-6) - -1 - -4. Let 0 + 2/3*k**2 - b*k**3 - 1/3*k = 0. What is k?
0, 1
Let u(g) be the second derivative of -5*g**4/3 - 10*g**3/3 - 5*g**2/2 + 16*g. Let u(w) = 0. Calculate w.
-1/2
Let c(t) be the first derivative of 3*t**3 - 12*t**2 + 12*t + 2. Factor c(s).
3*(s - 2)*(3*s - 2)
Suppose 6*d - 12 = 4*d. Solve -1 + 9*p**2 + 2 - 4*p + 4*p - d*p = 0.
1/3
Let c = 24 + -20. Let n(p) be the third derivative of -1/8*p**c + 0 + 1/3*p**3 + 0*p - 3*p**2 + 1/60*p**5. Factor n(f).
(f - 2)*(f - 1)
Let l = -519/7 + 1564/21. Solve 2/3 + 1/3*o - o**2 + l*o**4 - 1/3*o**3 = 0 for o.
-1, 1, 2
Let y(r) be the third derivative of -2/15*r**5 + 0 - 1/10*r**6 - 6*r**2 - 2/105*r**7 + 0*r**4 + 0*r + 0*r**3. Factor y(f).
-4*f**2*(f + 1)*(f + 2)
Let f be (0 + 2)*(3 + -2). Suppose -f = -4*c + 6. Suppose -5 + 4 + c*x**3 + 0 + x - 3*x + x**4 = 0. Calculate x.
-1, 1
Let t(h) be the first derivative of h**4/12 + h**3/9 - h**2/6 - h/3 - 29. Let t(v) = 0. What is v?
-1, 1
Let j(x) be the third derivative of x**8/336 - x**6/60 + x**4/24 + 3*x**2. Determine o so that j(o) = 0.
-1, 0, 1
Let z(l) = l**3 - l**2 + l + 1. Let r(g) = -22*g**3 + 18*g**2 + 30*g + 2. Let a(j) = -r(j) - 6*z(j). Determine y so that a(y) = 0.
-1, -1/4, 2
Let o = 155/4 + -38. Determine g so that 3*g**2 - 3*g + 0 - o*g**3 = 0.
0, 2
Suppose 0 = 5*c - 18 - 7. Solve 4/5*u**4 + 1/5*u**c + 0*u**2 + 0 + 0*u + 4/5*u**3 = 0.
-2, 0
Let t(h) = 7*h**4 - 16*h**3 + 4*h**2 - 2*h. Let z(r) = 14*r**4 - 32*r**3 + 8*r**2 - 5*r. Let p(k) = 5*t(k) - 2*z(k). Factor p(v).
v**2*(v - 2)*(7*v - 2)
Let x(u) = -6*u**2 - 2*u - 5. Let o(y) = 7*y**2 + 3*y + 6. Let h(j) = -5*o(j) - 6*x(j). Suppose h(r) = 0. Calculate r.
0, 3
Let j(b) be the second derivative of b**5/10 + b**4/3 - 4*b**3/3 - 8*b**2 + 9*b. Suppose j(d) = 0. What is d?
-2, 2
Let x = -51/2 - -27. Determine d, given that -1/2*d**3 - x*d - 1/2 - 3/2*d**2 = 0.
-1
Solve -6*y**2 + 16 + 2*y + 6*y + 7*y**2 = 0.
-4
Let i(b) = b + 4. Let y be i(0). Let n(p) be the third derivative of 1/3*p**3 + 0 - 2*p**2 + 1/60*p**5 + 0*p - 1/8*p**y. Solve n(g) = 0 for g.
1, 2
Factor -4 + 10*f**3 + 202*f**4 - 1 - 197*f**4 - 10*f.
5*(f - 1)*(f + 1)**3
Find n such that -16/3*n**2 - 4/3*n**5 - 16/3*n**4 - 8*n**3 - 4/3*n + 0 = 0.
-1, 0
Let y(z) be the third derivative of 1/840*z**8 + 0*z - 1/6*z**5 + 19/300*z**6 - 4/15*z**3 - 1/75*z**7 + 4/15*z**4 + 0 + 5*z**2. Factor y(f).
2*(f - 2)**2*(f - 1)**3/5
Let t(n) be the second derivative of n**7/63 - 2*n**6/45 - 8*n. Solve t(h) = 0 for h.
0, 2
Suppose 12 = m + m. Suppose 0 + m = 3*j. What is a in -a**j - a - 1/3 - 1/3*a**3 = 0?
-1
Let s(t) = -6*t**2 - 4*t + 5. Let p(r) = 5*r**2 + 3*r - 4. Let o(z) = 5*p(z) + 4*s(z). Factor o(q).
q*(q - 1)
Suppose 5*s + 3*q - 3 = s, -15 = 5*q. Suppose 0*m + 0 + 1/3*m**2 + 2/3*m**s + 1/3*m**4 = 0. Calculate m.
-1, 0
Suppose -2*a = -3 - 7. Let l = a + -2. Find h such that 3 - 1 - l*h**3 - 4*h**2 + h + 0 = 0.
-1, 2/3
Let w(i) = -i**3 + i**2 + 2*i. Let h be w(2). Let v(m) = -m + 4. Let j be v(h). Let 0 + 0*c - 2/5*c**2 + 2/5*c**j - 2/5*c**3 + 2/5*c**5 = 0. What is c?
-1, 0, 1
Let n(u) be the first derivative of 1/12*u**4 + 2/3*u + 1/3*u**3 - 5/6*u**2 - 1/15*u**5 - 8. Find g, given that n(g) = 0.
-2, 1
Let l(m) be the first derivative of -2 + 1/12*m**3 + 9/4*m - 3/4*m**2. Factor l(o).
(o - 3)**2/4
Let t be ((-2)/(-4))/((-4)/(-24)). Suppose -3*q - 5*z + 31 = 0, 0*q + 2*q + t*z = 19. Factor q*o**2 + o**3 - o**3 - 2*o**3.
-2*o**2*(o - 1)
Let f(z) be the second derivative of z**5/8 + 3*z**4/8 + 2*z**3/5 + z**2/5 + 18*z. Find h such that f(h) = 0.
-1, -2/5
Solve -w**2 - 151*w**3 + w**4 + 157*w**3 + 2*w - 5*w**2 - 3*w**4 = 0.
0, 1
Let f(d) be the third derivative of -2*d**2 + 1/30*d**5 + 0*d**3 + 1/60*d**6 + 0*d**4 + 0*d + 0. Factor f(b).
2*b**2*(b + 1)
Find n such that -9/5*n - 3/5*n**3 + 0 - 12/5*n**2 = 0.
-3, -1, 0
Let y(i) be the third derivative of -2*i**7/735 - 13*i**6/840 - 11*i**5/420 - i**4/84 + 7*i**2. Let y(r) = 0. What is r?
-2, -1, -1/4, 0
Let t be (-2)/10 - (408/210)/(-4). Find i, given that -2/7*i**3 - 2/7*i**2 + 0*i + 2/7*i**5 + t*i**4 + 0 = 0.
-1, 0, 1
Factor -3*x**3 - 5*x**4 + 0*x**2 - 4*x**4 - 6*x**2 - 12*x**3.
-3*x**2*(x + 1)*(3*x + 2)
Factor -3/2*m - 1/4*m**2 - 9/4.
-(m + 3)**2/4
Let -12*m - 4 + 12*m**3 - 12*m**4 + 5*m**4 + 7 + 9*m**2 - 5*m**4 = 0. Calculate m.
-1, 1/2, 1
Suppose 4*b + 8 = 2*d, 0*d + 2*d - 5*b = 9. Factor 2*n - 5*n - n**2 - n**5 - n**2 - d + 4*n**3 + 4*n**2.
-(n - 2)*(n - 1)*(n + 1)**3
Find y such that -2/5*y**3 + 2/5*y - 6/5*y**2 + 6/5 = 0.
-3, -1, 1
Let t = 164/21 + -50/7. Factor -4/3*p + t + 2/3*p**2.
2*(p - 1)**2/3
Let f(b) be the first derivative of -5*b**6/6 - 5*b**5/3 + 35*b**4/12 + 5*b**3 - 10*b**2/3 - 20*b/3 - 16. Determine c, given that f(c) = 0.
-2, -1, -2/3, 1
Let w(i) be the first derivative of -i**4/8 + i**3 - 3*i**2 + 2*i - 1. Let n(j) be the first derivative of w(j). Factor n(y).
-3*(y - 2)**2/2
Let j b