*d**3/9 + d**2/2 + d/3 - 9. Factor p(g).
-(g - 1)*(4*g + 1)/3
Suppose -2*j + 4*j**3 + 10/3*j**2 - 4/3 = 0. What is j?
-1, -1/2, 2/3
Let o(g) be the first derivative of -g**6/240 + g**5/120 + g**4/48 - g**3/12 + 2*g**2 - 3. Let n(v) be the second derivative of o(v). Solve n(m) = 0 for m.
-1, 1
Let h(m) be the third derivative of -1/210*m**7 + 0*m + 0*m**6 + 1/60*m**5 + 0 - 1/672*m**8 - 4*m**2 + 1/48*m**4 + 0*m**3. Determine u so that h(u) = 0.
-1, 0, 1
Suppose -4*c = -0*c - 8. Solve -3 - 6*m**4 + 9*m + 6*m**2 + 9*m**5 - 3 + 6*m**c - 18*m**3 = 0.
-1, 2/3, 1
Let c(y) = 2*y**3 - 6*y**2 - 2*y. Let i(x) = x**4 - 3*x**3 + 7*x**2 + 3*x + 1. Let w(a) = 3*c(a) + 2*i(a). Determine t, given that w(t) = 0.
-1, 1
Suppose 3*b - 4 + 13 = 5*z, 2*b = 2*z - 2. Factor -h + 3 + 1 + 0*h**3 - 2 + h**z - 2*h**2.
(h - 2)*(h - 1)*(h + 1)
Let i = -163/51 + 60/17. Let d = -2 - -4. Factor -2/3*z - 1/3 - i*z**d.
-(z + 1)**2/3
Let d(r) be the second derivative of 1/10*r**5 + 0*r**2 + 1/12*r**4 + 0*r**3 + 2*r + 0 + 1/30*r**6. Find f such that d(f) = 0.
-1, 0
Let j(o) be the first derivative of -o**6/60 + o**5/10 - o**4/4 + o**3/3 + o**2 - 10. Let m(l) be the second derivative of j(l). Factor m(u).
-2*(u - 1)**3
Suppose -4*y = 4 - 24. Let u = y - 3. Factor 7*b**3 + b + 8*b**u + b + b**2.
b*(b + 1)*(7*b + 2)
Let n(o) be the third derivative of 0*o**3 + 0*o + 0 + 1/60*o**4 + 1/100*o**5 + 1/600*o**6 - 2*o**2. Determine l, given that n(l) = 0.
-2, -1, 0
Let w(p) be the third derivative of -p**5/12 + 5*p**4/3 - 35*p**3/6 - 57*p**2. Factor w(r).
-5*(r - 7)*(r - 1)
Let p be 0/(1*(-3)/3). Factor -3*b + 2*b**4 + 2 - 8*b**3 + 12*b**2 - 2*b + p - 3*b.
2*(b - 1)**4
Factor -15*l - 2677*l**2 + 5 + 2686*l**2 + 1.
3*(l - 1)*(3*l - 2)
Suppose 5*m = 4*m. Let f(a) be the second derivative of -1/80*a**5 + 0*a**2 + m*a**4 + 3*a + 0 - 1/120*a**6 + 0*a**3. Factor f(i).
-i**3*(i + 1)/4
Let b(z) = -z**4 + 9*z**3 - 4*z**2 + z - 5. Let r(y) = y**3 - y**2 + y - 1. Let o(l) = b(l) - 5*r(l). Suppose o(s) = 0. What is s?
-1, 0, 1, 4
Let z be ((-6)/(-8))/(2/8). Suppose 0 = -z*i - 3 + 9. Factor -1/3*h**4 + 1/3*h + 2/3*h**i - 2/3*h**3 - 1/3 + 1/3*h**5.
(h - 1)**3*(h + 1)**2/3
Suppose 3*r + 2*d - 4 = 2*r, -5*d = -5*r - 10. Factor 9/5*m**3 - 12/5*m**4 + m**5 + 0*m - 2/5*m**2 + r.
m**2*(m - 1)**2*(5*m - 2)/5
Let w(a) = 2*a**2 + 2*a - 2. Let s be w(-3). Let o = -7 + s. Find c such that -o*c**3 + c**2 + 8/3*c - 4/3 = 0.
-1, 2/3
Let i(f) be the third derivative of 2*f**2 - 1/3*f**3 + 0 - 1/18*f**4 + 0*f - 1/270*f**5. Solve i(j) = 0.
-3
Solve 0 + 2/9*h - 10/9*h**2 = 0.
0, 1/5
Let h(k) be the second derivative of -k**7/5040 + k**6/720 + k**4/2 - 2*k. Let a(j) be the third derivative of h(j). Factor a(w).
-w*(w - 2)/2
Suppose 3/5*h**2 + 0*h**3 - 1/5*h**4 - 2/5*h + 0 = 0. What is h?
-2, 0, 1
Factor 0*l + 0 + 2/3*l**5 + 2/3*l**2 + 2*l**3 + 2*l**4.
2*l**2*(l + 1)**3/3
Let c(t) = -t**4 + t**3 - t**2 - t + 1. Let p(q) = 2*q**4 - 17*q**3 - 13*q**2 - 7*q - 8. Suppose -4*y + 7*y - 15 = 0. Let k(r) = y*c(r) + p(r). Factor k(z).
-3*(z + 1)**4
Let a be (86 - 83)/(2*2/4). Factor -8/11*m - 2/11*m**2 + 2/11 + 8/11*m**a.
2*(m - 1)*(m + 1)*(4*m - 1)/11
Let h(a) be the second derivative of -a**8/1344 - a**7/840 + a**6/480 + a**5/240 + a**2 - 2*a. Let b(w) be the first derivative of h(w). Factor b(y).
-y**2*(y - 1)*(y + 1)**2/4
Let i(y) be the third derivative of y**5/60 - y**4/12 - y**3/2 + 14*y**2. Factor i(g).
(g - 3)*(g + 1)
Suppose 22 = -2*r + 4*k, -3*r - r + 2*k = 20. Let y = r - -5. Solve m**2 - m**4 - 3*m**3 - 27*m**3 + y*m + 0*m + 28*m**5 = 0.
-1, -1/4, 0, 2/7, 1
Let w(c) = 3*c + 1. Let v be w(-2). Let y be -6*1/2 - v. What is s in -s - 10*s**2 + 3*s + 15*s**3 - 11*s**y + 4*s = 0?
0, 2/5, 1
Let f(v) = 2*v**2 - 5*v - 7. Let p(g) = -25*g**2 + 60*g + 85. Let j(o) = -35*f(o) - 3*p(o). Factor j(m).
5*(m - 2)*(m + 1)
Let a(w) = 4*w**3 - 75*w**2 + 90*w + 11. Let v(b) = b**3 - 15*b**2 + 18*b + 2. Let q(m) = -2*a(m) + 11*v(m). Factor q(s).
3*s*(s - 3)*(s - 2)
Determine l so that -80/3*l - 100/3*l**2 - 16/3 = 0.
-2/5
Let m(y) be the second derivative of -y**5/20 + y**4/4 - y**3/2 + y**2/2 - 31*y. Let m(u) = 0. Calculate u.
1
Let l(y) be the third derivative of y**5/300 - y**4/3 + 40*y**3/3 + 2*y**2 - y. What is w in l(w) = 0?
20
Let b(g) = g**2 - 1. Suppose 0 = 2*z - 3*z - 1. Let x(u) = -u**2 - u. Let r(v) = z*x(v) - 2*b(v). What is t in r(t) = 0?
-1, 2
Factor 2/5*i + 8/5*i**2 - 2/5*i**3 - 8/5.
-2*(i - 4)*(i - 1)*(i + 1)/5
Let q = 1 - 11. Let f be (-10)/q - (-10)/(-14). What is s in 0*s**2 + 0 - f*s**3 + 0*s = 0?
0
Let o be 1/1 - (-2 - -2). Suppose 5*q - 9 - o = 0. Factor -1/2*r**q - 1/4*r**5 + 3/4*r + 3/4*r**4 - 1/4 - 1/2*r**3.
-(r - 1)**4*(r + 1)/4
Let b(f) = f**3 + f**2. Let j be b(-1). Let w(z) be the third derivative of j - 1/6*z**4 - 2*z**2 + 0*z - 1/60*z**5 - 2/3*z**3. Find n, given that w(n) = 0.
-2
Let h(u) be the third derivative of 5*u**8/672 + u**7/14 + 11*u**6/48 + u**5/12 - 5*u**4/4 - 10*u**3/3 + 24*u**2. Factor h(b).
5*(b - 1)*(b + 1)*(b + 2)**3/2
Let q(v) be the first derivative of 2 + 1/300*v**5 + 3/2*v**2 + 0*v + 0*v**4 + 0*v**3. Let x(a) be the second derivative of q(a). Factor x(s).
s**2/5
Let j(o) be the second derivative of 0*o**3 - o**2 - 1/60*o**4 + 3*o + 0 + 7/300*o**5. Let l(s) be the first derivative of j(s). Solve l(z) = 0 for z.
0, 2/7
Let d = -23 - -47/2. Let o be -5 - (20/45 + (-335)/45). Suppose -v + o*v**5 - 6*v**3 + d*v**4 + 0 - 11/2*v**2 = 0. Calculate v.
-1, -1/4, 0, 2
Let u(r) be the first derivative of -2*r**3/9 + 2*r**2/3 + 2*r + 9. Factor u(h).
-2*(h - 3)*(h + 1)/3
Let s be (-124)/217 + 26/21. Suppose -2/3*u**3 - 2/3*u**4 + 0 + s*u**2 + 2/3*u = 0. Calculate u.
-1, 0, 1
Let q(x) = 2*x**2 + 19*x + 24. Let z be q(-8). Solve z - 2/17*s**2 + 0*s = 0 for s.
0
Let u(f) be the third derivative of -1/12*f**4 + f**2 + 0*f + 1/60*f**6 + 1/105*f**7 + 0*f**3 - 1/30*f**5 + 0. Determine w so that u(w) = 0.
-1, 0, 1
Solve 2/7*p**4 - 2/7*p**2 + 0 + 2/7*p - 2/7*p**3 = 0 for p.
-1, 0, 1
Let v(g) be the third derivative of -g**5/210 - g**4/21 - g**3/7 - 2*g**2. Let v(y) = 0. Calculate y.
-3, -1
Let g(c) be the second derivative of c**5/70 - c**3/21 - 9*c. Factor g(q).
2*q*(q - 1)*(q + 1)/7
Let y(n) = -n - 3. Let h be y(-7). Factor -2*a**2 - 7*a**h + 2*a**4 - 6*a**3 - 5*a**3 + 4*a**3.
-a**2*(a + 1)*(5*a + 2)
Suppose -4*z - 5*s = z - 35, 20 = 5*s. Suppose -w = 5, -2*p - z - 6 = 3*w. Suppose 0 + 1/3*r**4 + 0*r**2 + 0*r**p + 0*r = 0. Calculate r.
0
Let m be 2*(-2)/16*(-10 + 8). Factor f**3 + 0*f - m*f**2 + 0.
f**2*(2*f - 1)/2
Suppose 10 = 5*p, 4*l = -p - 4*p + 22. Let c(w) be the second derivative of 0 - 3*w + 1/28*w**7 + 0*w**2 + 1/30*w**6 + 0*w**l + 0*w**5 + 0*w**4. Factor c(u).
u**4*(3*u + 2)/2
Let b(t) = -t**3 - 2*t**2 + 2. Let z(w) = 3 - 3*w**2 - 2*w**3 - 4*w**2 + 0*w**3 + 5*w**2. Let r(x) = -6*b(x) + 4*z(x). Factor r(s).
-2*s**2*(s - 2)
Suppose -6 = -4*v + 6. Find u, given that -3*u + 2 - 1 + u - u**2 + 2*u**v = 0.
-1, 1/2, 1
Let f(k) be the first derivative of -3 + 3/4*k**2 + 1/12*k**3 + 9/4*k. Determine h so that f(h) = 0.
-3
Let y(u) be the second derivative of 0 + 0*u**2 - 1/5*u**5 + 0*u**3 + 1/10*u**6 + 3*u + 1/12*u**4. Find g such that y(g) = 0.
0, 1/3, 1
Let x(t) be the first derivative of t**7/1400 - t**6/200 + t**4/10 - 2*t**3 + 5. Let f(c) be the third derivative of x(c). Factor f(u).
3*(u - 2)**2*(u + 1)/5
Suppose 0 = c + c + 3*y, 0 = -c + 3*y. Let s(n) be the second derivative of c*n**3 + 1/6*n**4 + 0 + 0*n**2 + 1/6*n**6 - 2*n - 7/20*n**5. Factor s(l).
l**2*(l - 1)*(5*l - 2)
Let r(y) = 21*y**4 - 8*y**3 - 72*y**2 + 32*y + 27. Let g(i) = 32*i**4 - 12*i**3 - 108*i**2 + 48*i + 40. Let l(d) = 5*g(d) - 8*r(d). Find h such that l(h) = 0.
-2, -1/2, 1, 2
Let q(g) be the third derivative of -g**4/24 - g**3/6 + g**2. Let a(y) = -2*y**2 + 6*y + 8. Suppose 0*r + 4*r = 40. Let s(u) = r*q(u) + a(u). Factor s(c).
-2*(c + 1)**2
Let z(k) be the second derivative of -k**6/75 - 3*k**5/50 + 17*k. Factor z(d).
-2*d**3*(d + 3)/5
Let m(l) be the first derivative of l**5/55 - l**4/22 - 7*l**3/33 - 2*l**2/11 + 2. Factor m(v).
v*(v - 4)*(v + 1)**2/11
Let p(y) be the first derivative of -2*y**3/51 - 6*y**2/17 - 18*y/17 + 4. Factor p(k).
-2*(k + 3)**2/17
Find l such that 2/9*l**2 - 16/9*l + 32/9 = 0.
4
Let i(v) = 8*v**5 - 20*v