+ 4/3*x**3 - 5/2*x**2 + 2*x. Let l(t) = 0. Calculate t.
1, 2
Let j(o) be the third derivative of 7*o**6/1080 - o**5/40 + o**4/36 - o**3/3 + o**2. Let n(a) be the first derivative of j(a). Factor n(z).
(z - 1)*(7*z - 2)/3
Let g = -1439/16 + 90. Let o = 43/80 + g. Factor 0 - 1/5*v**5 + 1/5*v**2 + 0*v - o*v**3 + 3/5*v**4.
-v**2*(v - 1)**3/5
Suppose 2*r = 5*q + 5, -2 = 4*r + r + 2*q. Suppose -8 = -p - r*p. Solve 10*b**2 - p*b**3 + 2*b - 3*b + 2*b**4 - 3*b = 0 for b.
0, 1, 2
Factor -1/2*a + 1/2*a**3 + 0*a**2 + 0.
a*(a - 1)*(a + 1)/2
Solve 4*t**2 - t**5 - t**5 - 4*t**2 - 4*t**2 + 4*t**4 + 2*t**3 = 0 for t.
-1, 0, 1, 2
Let h(d) be the second derivative of 3*d**5/20 + d**4/2 - 7*d**3/2 + 6*d**2 - 70*d. Factor h(q).
3*(q - 1)**2*(q + 4)
Let y(u) = -2*u**2 + u**2 - 2*u + 9*u + 15*u. Let m be y(22). Factor -6/7*s**4 - 10/7*s**2 - 2/7*s - 2*s**3 + m.
-2*s*(s + 1)**2*(3*s + 1)/7
Let t(c) = 4*c**2 + 6. Suppose -4*f + 3*q + 32 = -q, 0 = 5*f - 4*q - 38. Let n(a) = -a**3 - 3*a**2 - 5. Let u(r) = f*n(r) + 5*t(r). Find i, given that u(i) = 0.
0, 1/3
Let g be 124/44 + (-2)/(-11). Let f(v) be the first derivative of 0*v - 3/2*v**4 - 4/3*v**g - 1/6*v**6 + 2 - 4/5*v**5 - 1/2*v**2. Factor f(c).
-c*(c + 1)**4
Let s(w) be the third derivative of -w**5/15 + w**4/3 - 2*w**3/3 - 19*w**2. Factor s(u).
-4*(u - 1)**2
Let g(z) = z**2 + 6*z. Let i be g(-5). Let h = i + 8. Suppose -2/3*w**h + 0*w**2 + 0 + 2/3*w = 0. Calculate w.
-1, 0, 1
Let z = 2111/3 + -703. Solve 0 + z*u**3 + 2/3*u**4 + 0*u + 0*u**2 = 0.
-1, 0
Let s(a) be the first derivative of 5 - a**4 + 0*a**3 + 0*a**2 + 0*a + 12/5*a**5. Suppose s(o) = 0. What is o?
0, 1/3
Let u(n) be the third derivative of 0*n**4 + 0*n**3 - 1/280*n**7 + 1/1344*n**8 + 1/160*n**6 - 1/240*n**5 + 0 + 4*n**2 + 0*n. Factor u(r).
r**2*(r - 1)**3/4
Let p be ((-8)/6)/((-4)/6). Solve 3*c**2 + 0*c**p - 10*c + c = 0 for c.
0, 3
Let x(c) be the first derivative of -4*c**3/9 - 4*c**2/3 - 1. Solve x(i) = 0.
-2, 0
Let q(f) be the third derivative of -3*f**8/56 + 23*f**7/70 - 4*f**6/5 + 9*f**5/10 - f**4/4 - f**3/2 + 6*f**2. Find u such that q(u) = 0.
-1/6, 1
Let w(r) be the first derivative of r**6/60 - r**5/6 + 2*r**4/3 - 4*r**3/3 - 3*r**2 - 4. Let c(v) be the second derivative of w(v). Factor c(s).
2*(s - 2)**2*(s - 1)
Let y(d) = -d**4 - d**3 + 8*d**2 - 4*d + 2. Let w(x) = x**3 - 8*x**2 + 4*x - 3. Let k(m) = 2*w(m) + 3*y(m). Factor k(o).
-o*(o - 1)*(o + 2)*(3*o - 2)
Let p(l) = -4*l**4 - 11*l**3 - 15*l**2 - 13*l - 5. Let j(b) = -12*b**4 - 32*b**3 - 44*b**2 - 40*b - 16. Let v(k) = 5*j(k) - 16*p(k). What is w in v(w) = 0?
-2, -1, 0
Let u be 1*75/(-27) - -3. Suppose 0*v + 3*v = 0. Factor 2/3*d**3 - u*d**5 - 2/9*d**4 + 4/9*d + v + 10/9*d**2.
-2*d*(d - 2)*(d + 1)**3/9
Let s = 482/5 - 96. Suppose 5*u - 14 - 11 = 0, -2*y = -u + 5. Factor y + s*f**2 + 4/5*f.
2*f*(f + 2)/5
Let x be (-147)/(-105)*2/7. Let p = -7/19 - -111/95. Determine c, given that x*c**3 + p + 4/5*c - 7/5*c**2 = 0.
-1/2, 2
Let u = 1/3 + 1/15. Find x such that 4/5*x**3 + 4/5*x**2 + u - 6/5*x - 6/5*x**4 + 2/5*x**5 = 0.
-1, 1
Let c(z) be the third derivative of -z**7/42 + z**6/8 + z**5/6 - 5*z**4/2 + 20*z**3/3 - 3*z**2. What is n in c(n) = 0?
-2, 1, 2
Suppose 0 = 3*y - 3, 3*y = 2*l - 6 + 5. Suppose -s**l - 1/5*s**3 - 8/5*s - 4/5 = 0. Calculate s.
-2, -1
Let s(u) be the second derivative of -1/84*u**4 - 1/42*u**3 + 0*u**2 - 5*u + 0. Factor s(v).
-v*(v + 1)/7
Let r be 1/4 + (-75)/12. Let l be (-2)/4 - (r - -4). Let -1/4*a**4 - a - 1/4 - a**3 - l*a**2 = 0. What is a?
-1
Suppose -3*k - 24 = -0. Let f = k - -10. Factor -q - 4*q + 2*q + 3*q**3 - 3*q**f + 3.
3*(q - 1)**2*(q + 1)
Let t(v) be the third derivative of 0*v - 1/360*v**6 - 2*v**2 - 1/12*v**4 - 2/3*v**3 + 0 - 1/40*v**5. Let i(f) be the first derivative of t(f). Factor i(h).
-(h + 1)*(h + 2)
Suppose -5*y + b = 2*b - 7, -5*b = 3*y + 9. Factor 3*f**y + 4 - 13 + f - 2*f - 5*f.
3*(f - 3)*(f + 1)
Let m(y) be the second derivative of y**7/1260 - y**6/90 + y**5/15 + y**4/2 + 6*y. Let z(w) be the third derivative of m(w). Determine h, given that z(h) = 0.
2
Let v be 10/2 - 696/144. Find c, given that 1/3 - 1/6*c**2 - v*c = 0.
-2, 1
Let f = -377/18 + 21. Let i(h) be the third derivative of 1/9*h**5 + 0 + 0*h - 2*h**2 - f*h**4 - 5/72*h**6 + 0*h**3. Solve i(v) = 0.
0, 2/5
Determine a so that 64*a**3 + 2*a - 2 + 2*a**2 - 66*a**3 + 0*a = 0.
-1, 1
Suppose 1/5*s**4 + 0*s - 1/5*s**5 + 0*s**2 + 0 + 2/5*s**3 = 0. What is s?
-1, 0, 2
Let y = -52 - -54. Let o(b) be the third derivative of b**y - 1/96*b**4 + 0 + 1/210*b**7 + 0*b**3 + 7/480*b**6 + 1/120*b**5 + 0*b. Factor o(t).
t*(t + 1)**2*(4*t - 1)/4
Let m(a) be the first derivative of 5 - 1/4*a**3 + 3/20*a**5 + 0*a**4 + 0*a + 0*a**2. Factor m(i).
3*i**2*(i - 1)*(i + 1)/4
Let q = -30 - -54. What is j in 7*j**2 + q*j + 6 - 37*j**2 + 2 + 8*j**3 = 0?
-1/4, 2
Let w(x) be the second derivative of -x**6/105 + 3*x**5/70 - x**4/21 - 2*x. Factor w(t).
-2*t**2*(t - 2)*(t - 1)/7
Let l(q) = q**3 + 5*q**2 - 4*q + 6. Let x be l(-6). Let s(k) = k**2 + 5*k - 1. Let y be s(x). Solve 6*o**5 + 3*o**y - 5*o**5 + 2*o**3 + 6*o**4 = 0.
-1, -1/2, 0
Let k(v) be the second derivative of 5*v**4/54 - 4*v**3/9 + 4*v**2/9 - 5*v. Let k(w) = 0. What is w?
2/5, 2
Let i(q) be the third derivative of -q**8/1890 - q**7/756 - q**6/1620 + q**3/6 - 3*q**2. Let w(s) be the first derivative of i(s). Factor w(l).
-2*l**2*(l + 1)*(4*l + 1)/9
Factor -2/3*m**3 - 2*m - 2/3 - 2*m**2.
-2*(m + 1)**3/3
Suppose 4/17 - 6/17*k**3 - 2/17*k**2 + 6/17*k - 2/17*k**4 = 0. What is k?
-2, -1, 1
Let s(d) = -d**2 + 4*d + 3. Let x be s(4). Let i(o) be the first derivative of o - 3 + 1/3*o**x - o**2. Solve i(l) = 0 for l.
1
Suppose 5*i - 2*o = 14, 4*i + o = -0*i + 19. Factor 0*m - 8/9*m**i + 10/9*m**3 + 0 - 2/9*m**2.
-2*m**2*(m - 1)*(4*m - 1)/9
Factor -50/9*v**2 - 2 - 20/3*v.
-2*(5*v + 3)**2/9
Find r, given that 2 + 7*r**2 + 2 - 20*r - 9*r**2 + 22*r = 0.
-1, 2
Suppose o = 4*u + 1 + 11, 0 = -o - 5*u + 3. Factor -1 + 1 - o*s**2 + 10*s**2 + s**3.
s**2*(s + 2)
Let l(v) = v**5 - v - 1. Let i(x) = 7*x**5 - 4*x**4 - x**3 + 4*x**2 - 6*x - 6. Let t(u) = -5*i(u) + 30*l(u). Find y, given that t(y) = 0.
-1, 0, 1, 4
Let a be 9/1 + 3/(-1). Let r be (2/a)/((-6)/(-9)). Factor -5/2*z - 2*z**2 - r.
-(z + 1)*(4*z + 1)/2
Let l = 1/320 + 317/960. Determine z, given that 0 + l*z**3 + 1/3*z**2 - 2/3*z = 0.
-2, 0, 1
Suppose -4*h + 7 = -5. Suppose h*l - 13 = -4. Factor -v**l - v**2 - v + v.
-v**2*(v + 1)
Let w(u) = 4*u**3 - u**2 + 3*u. Let d(x) = -11*x**3 + 4*x**2 - 8*x. Let o(g) = 3*d(g) + 8*w(g). Solve o(n) = 0 for n.
0, 4
Let i be 2*(95/(-30) + 3)*-6. Suppose -4*n**3 - 16*n - 8 - 12*n**i - 1/2*n**4 = 0. What is n?
-2
Let m(l) = 12 + 15 - 6 - 7 - l. Let w be m(10). Let 2 + 0 - 2 - w + 3*a**2 + a**3 = 0. What is a?
-2, 1
Let w(c) be the first derivative of -c**6/3 + 7*c**4/18 + 4*c**3/27 + 5. Solve w(d) = 0 for d.
-2/3, -1/3, 0, 1
Let t(c) be the first derivative of 4*c**3/3 + 8*c**2 + 12*c + 8. Factor t(k).
4*(k + 1)*(k + 3)
Suppose -h = -5*r + 18, -3*r + 3*h - 2 = -2*r. Suppose 5*k = r + 11. Factor 49/3*j**k - 4/3 - 77/3*j**2 + 32/3*j.
(j - 1)*(7*j - 2)**2/3
Suppose 3*u - 30 = -3*f, -46 = -3*f - u + 6*u. Let m be (-3)/f*2 - -1. Suppose m*p + 0 - 1/4*p**3 + 1/4*p**2 = 0. What is p?
-1, 0, 2
Suppose -5*y + 4*n = -11, -y - n = -6*y + 14. Factor 0 - 9*p**2 - 3*p - 4*p**y - 3 - 3*p + 2.
-(p + 1)**2*(4*p + 1)
Suppose -2*h = 3*b - 4, -2*h - 2*b = -4 - 0. Let -12*n**3 + 7*n**3 + 4*n**3 + n + n**4 - n**h = 0. What is n?
-1, 0, 1
Let -7/5*k**2 + 1/5*k**3 - 12/5 + 16/5*k = 0. What is k?
2, 3
Let w(o) be the second derivative of 1/90*o**6 + 4*o + 0*o**2 - 1/126*o**7 - 5/36*o**4 + 0 + 1/20*o**5 + 1/9*o**3. Factor w(r).
-r*(r - 1)**3*(r + 2)/3
Let u(k) be the second derivative of 0*k**2 - 1/8*k**5 - 1/3*k**3 - 1/3*k**4 - 1/60*k**6 + 5*k + 0. Find p, given that u(p) = 0.
-2, -1, 0
Let m(t) = 2*t**4 - 10*t**2 + 2*t + 10. Let d(p) = -6*p**4 + 30*p**2 - 7*p - 31. Let n(h) = -4*d(h) - 14*m(h). Determine l, given that n(l) = 0.
-2, -1, 1, 2
Let x(b) = -b**4 - b**3 - b**2 + 1. Let g(t) = 8*t**4 + 8*t**3 - 10*t**2 + 9*t - 5. Let k(p) = g(p) + 5*x(p). Factor k(r).
3*r*(r - 1)**2*(r + 3)
What is n in 4/5 + 2*n**2 - 14/5*n = 0?
2/5, 1
Let o = 11 - 6. Factor 2*y**3 + 2*y**3 - 2*y + 3*y - y**2 - o*y**3 + 1.
-(y - 1)*(y +