). Factor 1/4*u**3 + n + 0*u + 1/4*u**2.
u**2*(u + 1)/4
Suppose -g = -4*d + 4, d + 3 = 2*g - 3. Suppose -d*j = -0*j. Factor j*l - 2/7*l**2 + 0 + 2/7*l**3.
2*l**2*(l - 1)/7
Let h be (1/(-18))/((-4)/6). Let y(m) be the second derivative of m + 2/3*m**3 + 2*m**2 + h*m**4 + 0. Suppose y(f) = 0. What is f?
-2
Let -2 - 31*l**2 + 1 + l**3 - 6*l**3 - 51*l - 8 = 0. Calculate l.
-3, -1/5
Let z be -4 + 2 + (2 - 0/4). Suppose 1/3*n**3 + 0 - 1/3*n**2 + z*n = 0. What is n?
0, 1
Let m(u) be the second derivative of -u**5/10 + u**4/6 + 5*u. What is l in m(l) = 0?
0, 1
Determine x, given that 0*x + 0 + 5/2*x**4 + 1/2*x**5 + 2*x**3 + 0*x**2 = 0.
-4, -1, 0
Let v(a) be the third derivative of -a**6/600 + a**5/300 + a**4/30 - 2*a**3/15 - 18*a**2. Factor v(j).
-(j - 2)*(j - 1)*(j + 2)/5
Let j(f) = -48*f**4 - 64*f**3 + 120*f**2 + 42*f - 50. Let d(z) = -7*z**4 - 9*z**3 + 17*z**2 + 6*z - 7. Let q(r) = -44*d(r) + 6*j(r). Factor q(p).
4*(p - 1)*(p + 1)**2*(5*p - 2)
Factor -6*x - 3*x**2 + 6*x.
-3*x**2
Let w(g) = g**5 + g**3 + 2*g**2. Let d(f) = 3*f**5 + f**4 + 3*f**3 + 7*f**2. Let b(y) = 2*d(y) - 7*w(y). Factor b(x).
-x**3*(x - 1)**2
Let n(q) be the third derivative of q**5/240 - q**4/16 + 5*q**3/24 + 76*q**2. Factor n(i).
(i - 5)*(i - 1)/4
Let j be 2/(-2)*2 - -2. Suppose 0 = -g - 4*i + 4, -5*i + 4 + j = g. Factor -5*z**4 + 3*z**g - 2*z**2 + 0*z**4 - 4*z**3.
-2*z**2*(z + 1)**2
Let s(v) = -v**2 - 8*v + 8. Let g be s(-7). Factor -6*i**4 + 27*i**4 - 27*i**2 + 4 - 15*i**3 + 2 + g*i.
3*(i - 1)**2*(i + 1)*(7*i + 2)
Factor -1/2*i + 1/4*i**2 + 1/4*i**3 + 0.
i*(i - 1)*(i + 2)/4
Let a(n) be the second derivative of 7/10*n**5 + 0 - 6*n - 4/15*n**6 + 0*n**2 - 1/3*n**3 - 1/3*n**4. Suppose a(g) = 0. What is g?
-1/4, 0, 1
Let z be (112/24)/7 + 4/(-6). Find p such that 0*p + z - 2/5*p**2 - 2/5*p**4 - 4/5*p**3 = 0.
-1, 0
Find z, given that -40*z**3 + 28*z**3 - 12*z + 75*z**4 - 65*z**3 - 58*z**3 + 72*z**2 = 0.
0, 2/5, 1
Let r(z) = 3*z**2 - 3. Let j(v) be the second derivative of 5*v**4/6 - 5*v**2 + 3*v. Let d(y) = 6*j(y) - 21*r(y). Find i, given that d(i) = 0.
-1, 1
Let k be 2/(-7) + 16/7. Suppose -4*y = -2*r - 20, 5*y + 0*y - 3*r - 27 = 0. What is w in -3*w**y - 4*w**2 - 2*w**3 + k*w + w**2 = 0?
-1, 0, 2/5
Let x = -5 + 9. Let c = -1 + x. Factor -2*p**2 + c*p - 6 + 0*p - 15*p - 12.
-2*(p + 3)**2
Let h(g) = -g**2 - 5*g + 2. Let v be h(-5). Determine n so that -3*n + v*n - 9*n**2 + 8*n**2 = 0.
-1, 0
Let d(q) be the third derivative of -q**8/560 + 3*q**7/175 - q**6/40 - 20*q**2. Determine y, given that d(y) = 0.
0, 1, 5
Let p = 6 + 4. Let w = p + -6. Factor 4*n**4 + 10*n**2 - 4*n**4 + 6*n**3 + 0*n**4 - 2*n**w - 2*n**5 + 4*n.
-2*n*(n - 2)*(n + 1)**3
Let o = -6 + 1. Let t = 18 + o. Let k(x) = -8*x**2 - 2*x + 4. Let y(r) = -17*r**2 - 5*r + 9. Let q(b) = t*k(b) - 6*y(b). Solve q(g) = 0 for g.
1
Suppose -4*p + 12 = -p. Suppose -p*o + 6 = -o. Find d, given that -2/3*d**3 + 4/3*d**4 + 0 - 4/3*d**o + d**5 - 1/3*d = 0.
-1, -1/3, 0, 1
Let c(y) be the second derivative of -y**10/105840 + y**9/26460 - y**7/4410 + y**6/2520 + y**4/6 + 2*y. Let o(g) be the third derivative of c(g). Factor o(s).
-2*s*(s - 1)**3*(s + 1)/7
Factor 8*t**2 + 2*t**2 + 1 - 6*t**2 + 0 + 5*t.
(t + 1)*(4*t + 1)
Let j(c) be the third derivative of -3/4*c**3 + 0*c + 0 - c**2 - 1/120*c**5 + 1/8*c**4. Factor j(p).
-(p - 3)**2/2
Let s(h) be the first derivative of 0*h**2 - 1/24*h**3 - 1 + 2*h - 1/48*h**4. Let p(o) be the first derivative of s(o). Factor p(i).
-i*(i + 1)/4
Let h be (-1)/(-3) - (-1218)/(-36). Let x = 35 + h. Solve -1/4*d - 3/2*d**4 + 9/4*d**5 - 2*d**3 + 0 + x*d**2 = 0 for d.
-1, 0, 1/3, 1
Let h(t) be the first derivative of t**8/3920 - t**7/490 + t**6/168 - t**5/140 + 8*t**3/3 + 1. Let y(o) be the third derivative of h(o). Factor y(w).
3*w*(w - 2)*(w - 1)**2/7
Let m(t) be the third derivative of -1/180*t**6 - 1/90*t**5 - 4*t**2 + 1/18*t**3 + 0*t + 1/72*t**4 + 1/1008*t**8 + 0 + 1/630*t**7. Factor m(p).
(p - 1)**2*(p + 1)**3/3
Let t(v) be the first derivative of 1/84*v**4 - v**2 + 0*v**3 + 0*v + 2 - 1/210*v**5. Let h(r) be the second derivative of t(r). Factor h(u).
-2*u*(u - 1)/7
Factor -4*q - 4*q**2 - 1 + 10 + 2 - 3.
-4*(q - 1)*(q + 2)
Let g = 20 + -12. Let w be (g/6)/((-6)/(-9)). Determine c so that -2/9*c**w + 2/9*c**4 + 0 + 0*c**3 + 0*c = 0.
-1, 0, 1
Find d, given that 1/4*d**2 - 7/2*d + 5/4*d**3 + 2 = 0.
-2, 4/5, 1
Find l such that -4/11*l**2 + 8/11*l**5 + 2*l**3 - 26/11*l**4 + 0 + 0*l = 0.
0, 1/4, 1, 2
Let w(l) = -10*l**5 + 7*l**4 + 3*l**3 + 7*l**2 - 7*l - 7. Let z(p) = 3*p**5 - 2*p**4 - p**3 - 2*p**2 + 2*p + 2. Let t(f) = -2*w(f) - 7*z(f). Factor t(r).
-r**3*(r - 1)*(r + 1)
Let j(y) be the first derivative of y**3/3 + y**2 + 5. Let c be j(-2). Factor 0*v**2 + 0*v + c*v**4 + 2/9*v**5 + 0 - 2/9*v**3.
2*v**3*(v - 1)*(v + 1)/9
Let d(t) = -22*t**2 - 6*t + 12. Let v be (-2)/(-4) + 248/16. Let p(u) = -7*u**2 - 2*u + 4. Let w(l) = v*p(l) - 5*d(l). Let w(b) = 0. Calculate b.
-2, 1
Let a = 40 - 37. Factor 3/2*c**a - c**4 + 1/4*c + 0 + 1/4*c**5 - c**2.
c*(c - 1)**4/4
Let x(w) be the second derivative of w**6/165 + 3*w**5/110 + w**4/22 + w**3/33 + 3*w. Factor x(s).
2*s*(s + 1)**3/11
Let v be -2*(-244)/(-72) - -7. Find s, given that v*s**3 + 0*s + 2/9*s**2 + 0 = 0.
-1, 0
Let -4*b**4 + 3*b**5 - 12*b**3 + 10*b**4 + 15*b**3 = 0. What is b?
-1, 0
Suppose -13*u = -15*u + 4. Let p(x) be the third derivative of -4/15*x**3 - 1/15*x**4 - 1/150*x**5 + 0*x + 3*x**u + 0. Factor p(d).
-2*(d + 2)**2/5
Determine x, given that -33*x**2 + 3*x**3 - 3*x + 14*x**2 + 19*x**2 = 0.
-1, 0, 1
Let v(n) be the third derivative of -n**7/40 + 9*n**6/160 - n**5/40 + n**2. Factor v(z).
-3*z**2*(z - 1)*(7*z - 2)/4
Let k(j) be the first derivative of 0*j + 4 + 1/6*j**4 - 1/3*j**2 + 0*j**3. Factor k(h).
2*h*(h - 1)*(h + 1)/3
Let n = 19/180 + 13/90. Let x be 1/(-1)*1*-4. What is h in 1/4*h**5 + 0 + n*h**2 - 1/4*h**3 - 1/4*h**x + 0*h = 0?
-1, 0, 1
Let h(s) = s**2 + 5*s + 3. Let t be (-8)/12*(-15)/(-2). Let k be h(t). Suppose 2*i**k + 7*i**3 - 5*i**3 - i**2 - 3*i**3 = 0. Calculate i.
0, 1
Let x(t) = t**5 + 17*t**4 - t**3 - 8*t**2. Let u(q) = -4*q**4 + 2*q**2. Let i(c) = 9*u(c) + 2*x(c). Factor i(k).
2*k**2*(k - 1)**2*(k + 1)
Let f be (8/7)/(240/280). Factor 8/3*g**2 + f - 2/3*g**3 - 10/3*g.
-2*(g - 2)*(g - 1)**2/3
Let g = -26 - -31. Let p(k) be the third derivative of 2/525*k**7 - 1/60*k**4 + 1/840*k**8 + 0 + k**2 + 0*k**3 + 0*k - 1/75*k**g + 0*k**6. Factor p(x).
2*x*(x - 1)*(x + 1)**3/5
Let t(p) be the first derivative of p**4/32 - 3*p**2/4 - 2*p + 13. Find s, given that t(s) = 0.
-2, 4
Let o(y) be the third derivative of -y**8/1680 + y**7/420 - y**5/60 + y**4/24 - y**3/6 + 3*y**2. Let w(r) be the first derivative of o(r). Solve w(g) = 0.
-1, 1
Let j = 8/15 - 14/45. Let -4/9*z**3 + 8/9*z**2 - 4/9 + 2/9*z + j*z**5 - 4/9*z**4 = 0. Calculate z.
-1, 1, 2
Let t(v) be the second derivative of v**7/210 + v**6/75 - v**5/25 - v**4/30 + v**3/10 - 2*v + 25. Factor t(p).
p*(p - 1)**2*(p + 1)*(p + 3)/5
Let p(t) = 2*t**2 - t + t. Suppose 2*r = 5*s - 31, 3*s + r + 2*r = 6. Let x(y) = -y**3 - 3*y**2 - y. Let z(v) = s*p(v) + 2*x(v). Let z(k) = 0. What is k?
0, 1
Let c(o) be the second derivative of -o**8/3360 + o**7/630 + o**4/4 - o. Let s(b) be the third derivative of c(b). Solve s(w) = 0.
0, 2
Let d(y) be the third derivative of 0*y**3 - 1/84*y**5 + 3*y**2 - 1/84*y**4 + 0 - 1/210*y**6 - 1/1470*y**7 + 0*y. Factor d(s).
-s*(s + 1)**2*(s + 2)/7
Suppose -5/6*p + 2/3*p**2 - 1/6*p**3 + 1/3 = 0. Calculate p.
1, 2
Let z = -1059 - -1062. Factor 6/5*h**2 - 2/5*h**4 + 0 + 0*h**z - 4/5*h.
-2*h*(h - 1)**2*(h + 2)/5
Let u(w) be the third derivative of w**5/270 + w**4/108 - 2*w**3/27 - 11*w**2. Suppose u(c) = 0. What is c?
-2, 1
Let r(p) be the first derivative of 3*p**4/16 - 3*p**3/4 + 9*p**2/8 - 3*p/4 - 1. Factor r(g).
3*(g - 1)**3/4
Let h(t) = t**5 + t**3 - t + 1. Let v(s) = 15*s**5 + 21*s**4 + 21*s**3 + 3*s**2 - 6*s + 6. Let a(i) = 6*h(i) - v(i). Suppose a(p) = 0. What is p?
-1, -1/3, 0
Let f(a) be the second derivative of 2*a**6/15 + a**5/5 - 2*a**4/3 - 2*a - 3. Factor f(s).
4*s**2*(s - 1)*(s + 2)
Let x(j) be the third derivative of 3/50*j**5 + 0*j + 1/15*j**3 + 1/75*j**6 - 2*j**2 + 1/10*j**4 + 0. Determine a, given that x(a) = 0.
-1, -1/4
Let c(x) be the third derivative of 0 - 1/315