st derivative of 3*n**4/8 + 19*n**3/6 + 33*n**2/4 + 9*n/2 + 24. Determine z, given that d(z) = 0.
-3, -1/3
Suppose -5*o = 10 - 90. Suppose f + 0*f - 3*d = o, d + 4 = 0. Factor u**2 + 0 - u**3 + 1/3*u**f - 1/3*u.
u*(u - 1)**3/3
Suppose 12*m + 4 = 14*m. Factor 0*t**m + 0 + 0*t + t**4 - 2/3*t**3.
t**3*(3*t - 2)/3
Let g = 17 - 15. Factor x**g - 6*x**2 + 4*x + 0*x + x**2.
-4*x*(x - 1)
Let t be 4/(-3)*(-3)/2. Let k be 1 + 3/3 + 1. Factor 1 + 0 - 3 + k*y**t - y.
(y - 1)*(3*y + 2)
Let z(r) = -r**5 - r**4 + r**2 - r + 1. Let y(c) = -c**4 - 3*c**3 - c**2 - c + 1. Let m(u) = -y(u) + z(u). Factor m(a).
-a**2*(a - 2)*(a + 1)**2
Suppose v - 32 = -3*v. Let i be -4*-2*2/v. Factor 0*h**2 - 4 + 0 - h**i - 4*h.
-(h + 2)**2
Factor 3/2*w + 15/4*w**2 - 21/4*w**3 + 0.
-3*w*(w - 1)*(7*w + 2)/4
Let t(d) = 14*d**2 - 23*d - 20. Suppose 4*r - 2*r = 34. Let b(s) = -5*s**2 + 8*s + 7. Let q(k) = r*b(k) + 6*t(k). What is z in q(z) = 0?
-1
Let t(b) be the second derivative of 0 - 1/3*b**3 - 1/6*b**4 - b + 3/2*b**2 - 1/30*b**5. Let k(v) be the first derivative of t(v). Suppose k(i) = 0. What is i?
-1
Let t be 1/(4*(-1)/(-8)). Suppose r - 12 = -t*r. Suppose 4/9*d**r + 2/9*d**3 + 0*d**2 + 0 + 0*d + 2/9*d**5 = 0. Calculate d.
-1, 0
Let j(l) be the second derivative of -3*l**8/11200 - 11*l**7/4200 - l**6/100 - l**5/50 + l**4/2 + 3*l. Let c(g) be the third derivative of j(g). Factor c(a).
-3*(a + 1)*(a + 2)*(3*a + 2)/5
Let u be -7 - -4 - 386/(-130). Let y = u + 73/260. Suppose 0 - y*o**3 + 1/4*o + 0*o**2 = 0. What is o?
-1, 0, 1
Let j be (30/(-54))/((-5)/6). Factor 0*c**3 + 0 - 2/3*c**4 + j*c**2 + 0*c.
-2*c**2*(c - 1)*(c + 1)/3
Let v(n) be the third derivative of -n**5/75 + 2*n**4/15 - 8*n**3/15 - 15*n**2. Suppose v(z) = 0. What is z?
2
Let h be ((-4)/8)/((-1)/10). Factor h*t**3 + 3*t**4 + 5*t + t**4 - t + 8*t**2 - 3*t**4.
t*(t + 1)*(t + 2)**2
Let a(w) = -w**3 - 8*w**2 - w - 6. Let y be a(-8). Suppose 4 = f - 2*v, 0 = 2*f - v + y*v - 8. Factor 30*x**f + 3*x - 9*x**4 + 9*x - 27*x**3 - 36*x**2.
3*x*(x - 2)*(x + 1)*(7*x - 2)
Let r be (-14)/8 + 1 - -1. Let l(w) be the first derivative of -1/2*w**2 - 2 - w + r*w**4 + 1/3*w**3. Factor l(t).
(t - 1)*(t + 1)**2
Let v(y) be the first derivative of y**6/540 - y**5/270 + y**2 + 3. Let c(n) be the second derivative of v(n). Factor c(u).
2*u**2*(u - 1)/9
Let t(a) be the third derivative of 3*a**5/50 - a**3/15 + a**2. Factor t(b).
2*(3*b - 1)*(3*b + 1)/5
Let g(k) = -k**2 + 3*k. Let p(x) = x. Let d(f) = -f**3 - 6*f**2 - 6*f - 4. Let y be d(-5). Let h(z) = y*g(z) - p(z). Find m such that h(m) = 0.
0, 2
Let b(z) be the second derivative of z**6/75 + z**5/10 + 3*z**4/10 + 7*z**3/15 + 2*z**2/5 - 9*z. Let b(t) = 0. Calculate t.
-2, -1
Determine x so that 55*x + 50*x + 56*x + 9*x**2 + 1 - 151*x = 0.
-1, -1/9
Let v be ((-8)/(-3))/(2/3). Factor -1 - 4*f**3 - f**2 - f**4 - f**2 - 4*f**2 - v*f.
-(f + 1)**4
Let f(b) be the first derivative of -1/24*b**4 + 0*b + 9 - 1/6*b**2 + 1/6*b**3. Factor f(p).
-p*(p - 2)*(p - 1)/6
Suppose 0*a = 5*a - 4*r - 564, -565 = -5*a + 5*r. Let h be (-320)/a + 8/2. Factor -h*x**3 + 2/7*x**4 + 2/7 + 12/7*x**2 - 8/7*x.
2*(x - 1)**4/7
Let a = -12 + 6. Let q be ((-24)/18)/(7/a). Factor -10/7*n**3 + 0 - q*n + 24/7*n**2.
-2*n*(n - 2)*(5*n - 2)/7
Let t(u) be the first derivative of 0*u + 3/4*u**2 - 3/10*u**5 - 3/8*u**4 + 1/2*u**3 + 9. What is w in t(w) = 0?
-1, 0, 1
Suppose 3*p - 3*i + 8 = 26, i = -2*p + 3. Let w(s) be the third derivative of 0*s**p + 0*s**4 + 0 + 0*s - 1/30*s**5 + 2*s**2. Factor w(k).
-2*k**2
Let y(k) = -k**2 - 12*k - 12. Let q(x) = 12*x + 12. Let u(l) = 2*q(l) + 3*y(l). Factor u(f).
-3*(f + 2)**2
Let s = 2482/933 + 2/311. Find d such that -8/3 - s*d - 2/3*d**2 = 0.
-2
Let h = 324/7 + -46. Let k = h - 0. Factor -4/7*l**2 + 2/7*l**3 + 0 + k*l.
2*l*(l - 1)**2/7
Let b(z) be the first derivative of z**3/6 - z/2 - 8. Determine a, given that b(a) = 0.
-1, 1
Let v(p) be the third derivative of p**5/450 - p**4/180 + p**2. Factor v(r).
2*r*(r - 1)/15
Let b(s) be the second derivative of -s**6/15 - 3*s**5/10 - s**4/3 - 16*s. Factor b(w).
-2*w**2*(w + 1)*(w + 2)
Suppose -3*d - 2*d + 35 = 2*q, -d = -5*q + 20. Let -37*v**3 - 14*v**5 + 7*v**q + 34*v**2 - 53*v**3 + 54*v**4 - 4*v + 61*v**5 = 0. What is v?
-2, 0, 1/3
Let r(v) = 2*v**2 + 5 + v**2 + v - 4*v**2 + 0*v. Let q(k) = -k**2 + 3*k + 9. Let l(g) = 3*q(g) - 5*r(g). Let l(x) = 0. Calculate x.
-1
Let g(h) = -h**3 - 2*h**2 + 2. Let f be g(-2). Let p(d) = d**3 + 2*d**2 - 2*d + 1. Let q be p(1). Factor -f*n**2 + 6*n**3 + 2*n - 4*n**q + 4*n**4 - 6*n**4.
-2*n*(n - 1)**3
Let o(v) = -v**3 + 6*v**2 + 9*v - 14. Let k be o(7). Let k*p - 1/4*p**3 + 0 - 1/4*p**2 = 0. What is p?
-1, 0
Let y = -598/5 - -120. What is o in -2/5*o**5 - 12/5*o**3 - y*o + 0 - 8/5*o**4 - 8/5*o**2 = 0?
-1, 0
Let c(b) = -7*b**4 + 9*b**2 - 5*b + 3. Let m(g) = -11*g**4 + 14*g**2 - 8*g + 5. Let y(t) = -8*c(t) + 5*m(t). Suppose y(l) = 0. Calculate l.
-1, 1
Let j(g) be the second derivative of 3*g**5/100 - g**4/10 + g**3/10 - 20*g. Factor j(h).
3*h*(h - 1)**2/5
Let h be ((-3 + 0)/(-1) - 3)/1. Factor -1/2*y**2 + h*y + 2.
-(y - 2)*(y + 2)/2
Let q(p) be the first derivative of -p**7/1260 + p**6/180 - p**5/60 + p**4/36 + p**3/3 + 2. Let t(s) be the third derivative of q(s). Solve t(c) = 0.
1
Let l(x) be the second derivative of 0*x**2 + 1/3*x**4 - 1/6*x**3 + 1/180*x**6 + 0 - 1/15*x**5 + x. Let r(g) be the second derivative of l(g). Factor r(u).
2*(u - 2)**2
Let i(f) be the second derivative of 2/3*f**3 + f**2 + 1/10*f**5 + f + 0 + 1/2*f**4. Let v(t) = -t. Let u(n) = i(n) - 2*v(n). Let u(g) = 0. Calculate g.
-1
Let h(y) be the second derivative of y**6/30 + y**5/10 - y**4/4 - 2*y**3/3 + 2*y**2 - 3*y - 19. Factor h(q).
(q - 1)**2*(q + 2)**2
Suppose 28*y = 3*y. Factor 4/9*n**2 + 0 - 14/9*n**3 + y*n.
-2*n**2*(7*n - 2)/9
Let t(i) = 2*i - 14. Let r be t(7). Let d(s) be the first derivative of 2 + r*s + 0*s**3 - 1/16*s**4 + 0*s**2. Determine g, given that d(g) = 0.
0
Let b be (-140)/(-60) + (-2)/9*-3. Factor 7/2*r**2 - b - 19/2*r.
(r - 3)*(7*r + 2)/2
Find p such that -4*p - 6*p**2 + 4 + 2*p**3 + 2*p**2 + 2*p = 0.
-1, 1, 2
Let n(y) = 4 - 4 + 2*y + 7*y**3 - 9*y - 3 - y**2. Let j(z) = 6*z**3 - 6*z - 3. Let k(u) = 4*j(u) - 3*n(u). Factor k(q).
3*(q - 1)*(q + 1)**2
Let x(u) be the first derivative of -5*u**3/3 + 5. Factor x(t).
-5*t**2
Let x be 16/7 - 22/77. Let c be (-10)/(-4) - (-1 - -1). What is y in 1/4*y**3 - x - y + c*y**2 + 1/4*y**5 - y**4 = 0?
-1, 2
Let d(r) = -r**2 + r - 1. Let t = 6 + -4. Let i(l) = -l**5 - 4*l**4 - 5*l**3 + 3*l**2 - 5*l + 5. Let o(h) = t*i(h) + 10*d(h). Let o(w) = 0. Calculate w.
-2, -1, 0
Factor -3*o**4 - 3*o**3 + 9*o**2 + o**4 - 3*o**2 - o**4.
-3*o**2*(o - 1)*(o + 2)
Let c(w) be the third derivative of w**5/60 - w**4/48 - w**3/12 + 15*w**2. Factor c(k).
(k - 1)*(2*k + 1)/2
Let b = -11 + 37. Factor b*m - 26*m - m**3.
-m**3
Let a(q) be the first derivative of -q**3/5 + 3*q/5 - 10. Factor a(d).
-3*(d - 1)*(d + 1)/5
Let r(g) be the third derivative of -1/32*g**4 + 4*g**2 + 1/40*g**5 + 0*g + 0 - 1/4*g**3 + 1/160*g**6. Factor r(t).
3*(t - 1)*(t + 1)*(t + 2)/4
Factor -2*f**2 - 6*f - f**2 - 1 - 6*f**2.
-(3*f + 1)**2
Let s = -403 - -2823/7. Determine a, given that -16/7*a**3 - 10/7*a**4 - s*a**2 + 0 + 4/7*a = 0.
-1, 0, 2/5
Let q be (-18)/(-4) - (-3)/6. Let v(r) = -3*r**3 - 4*r - 4. Let u(o) = 4*o**3 + 4*o + 5. Let j(k) = q*v(k) + 4*u(k). Factor j(h).
h*(h - 2)*(h + 2)
Let i be (-1)/4 - (1037/(-20))/17. Factor 4/5*z - i*z**2 + 0.
-2*z*(7*z - 2)/5
Suppose 9*m - 2*m**3 - m**3 - 3 + 3 + 6 = 0. Calculate m.
-1, 2
Let j(x) be the second derivative of -x**5/130 + x**4/39 + x**3/39 - 2*x**2/13 + 2*x - 1. Factor j(h).
-2*(h - 2)*(h - 1)*(h + 1)/13
Let j(t) be the first derivative of 7 + 2/3*t**3 + 0*t + 2*t**2. Factor j(c).
2*c*(c + 2)
Suppose 0 + 4/7*a**4 - 2/7*a**5 + 0*a - 2/7*a**3 + 0*a**2 = 0. What is a?
0, 1
Let y(h) be the third derivative of h**6/900 + h**5/90 + h**4/90 - 8*h**3/45 + 24*h**2. Factor y(j).
2*(j - 1)*(j + 2)*(j + 4)/15
Let l = -58 - -291/5. Suppose 2/5*s**3 - 1/5 - 2/5*s + 0*s**2 + l*s**4 = 0. Calculate s.
-1, 1
Let r(v) be the first derivative of -2 - 1/3*v + 0*v**2 + 1/9*v**3. Factor r(n).
(n - 1)*(n + 1)/3
Let o = -14 + 21. Factor 3*q + 5*q**2 - o*q**2 - q.
-2*q*(q - 1)
Let u(m) be the second derivat