h**6 + 0*h**2 + 8/3*h**3 + 0*h + 4*h**4 - 14*h**5. Factor b(u).
-2*u**2*(3*u - 1)*(5*u + 2)**2
Determine d so that 4/13*d + 0 - 2/13*d**4 - 4/13*d**3 + 2/13*d**2 = 0.
-2, -1, 0, 1
Let h(c) = 8*c**3 - 14*c**2 + 6*c - 10. Let v(m) = -m**3 + m**2 + m + 1. Let b(n) = 2*h(n) + 20*v(n). Factor b(r).
-4*r*(r - 2)*(r + 4)
Let n(r) be the third derivative of 1/60*r**6 + 2*r**2 - 1/12*r**4 + 0*r**3 + 0*r + 0 + 1/20*r**5. Factor n(z).
z*(z + 2)*(2*z - 1)
Let g(a) be the second derivative of a**4/8 + 5*a**3/6 + 3*a**2/4 - 4*a + 3. Let g(t) = 0. Calculate t.
-3, -1/3
Let z(f) be the third derivative of -f**5/60 + 2*f**3/3 + 64*f**2. Factor z(c).
-(c - 2)*(c + 2)
Find u, given that -2*u + 2/3*u**2 + 0 = 0.
0, 3
Let h(s) be the second derivative of s**8/6720 + s**7/3360 + 2*s**3/3 - s. Let o(b) be the second derivative of h(b). Factor o(v).
v**3*(v + 1)/4
Let x = 4 - -16. Let q be x/(-2)*2/(-4). Factor o**2 + 4 - q - 2 + o + 1.
(o - 1)*(o + 2)
Factor 4/5 + 2/5*c - 2/5*c**2.
-2*(c - 2)*(c + 1)/5
Let x(y) be the second derivative of -3*y**6/40 - 7*y**5/80 + 11*y**4/48 + 7*y**3/24 - y**2/4 - 4*y. Suppose x(d) = 0. Calculate d.
-1, 2/9, 1
Let 15/4*l - 1/2*l**2 + 2 = 0. What is l?
-1/2, 8
Let a(z) be the third derivative of -z**7/140 - z**6/80 + z**5/40 + z**4/16 + 7*z**2. Factor a(l).
-3*l*(l - 1)*(l + 1)**2/2
Let i(q) = q + 2. Let x = -2 + 0. Let v be i(x). Solve -4*c + v + c**3 + 3*c - c**2 - 1 + 2*c**2 = 0 for c.
-1, 1
Let j(g) be the second derivative of 3*g**5/20 + 15*g**4/4 + 63*g**3/2 + 147*g**2/2 - 2*g - 5. Solve j(r) = 0.
-7, -1
Let t(f) = -f**2 + 2*f - 1. Let g be t(-2). Let l = 9 + g. Factor -1/3*d**4 + 1/3*d**2 + 1/3*d**3 - 1/3*d + l.
-d*(d - 1)**2*(d + 1)/3
Let w(k) = 2*k + 12. Let p be w(-5). Determine o so that 0*o + 0*o - 2*o**p - 3 + 5*o**2 = 0.
-1, 1
Suppose 3*l = -3*t - 3 - 0, -2*l = -3*t + 12. Factor -3/7*c**t + 3/7 + 0*c.
-3*(c - 1)*(c + 1)/7
Let k(a) be the third derivative of -a**7/1680 + a**6/720 + a**3/6 - a**2. Let m(q) be the first derivative of k(q). Factor m(s).
-s**2*(s - 1)/2
Let p(f) = 17*f - 14. Let z be p(7). Let r be ((-14)/z)/((-2)/20). Factor -14/3*t - 10/3*t**2 - r.
-2*(t + 1)*(5*t + 2)/3
Let z be -1*(-2 + -3*4). Factor 0*j**2 - 8*j + z*j - 3*j**2.
-3*j*(j - 2)
Let 4/3 - 4/3*g**2 + 0*g = 0. What is g?
-1, 1
Let -2/3*g**2 - 2*g - 4/3 = 0. Calculate g.
-2, -1
Let k(h) be the second derivative of h**5/80 + h**4/12 + 5*h**3/24 + h**2/4 - 2*h. Determine z, given that k(z) = 0.
-2, -1
Let j(i) = i**4 + 3*i**3 - 2*i - 3. Let n(m) = m**2 + m + 1. Let l(a) = -j(a) - 3*n(a). Suppose l(x) = 0. What is x?
-1, 0
Let l(g) = -2*g**3 - 2*g**2. Let h(c) be the first derivative of c**4/4 + 7. Let m(q) = -2*h(q) + 2*l(q). Suppose m(y) = 0. What is y?
-2/3, 0
Let n = 1/4 + 5/12. Factor 0 + 10/3*o**2 + n*o.
2*o*(5*o + 1)/3
Let k = 220 + -1978/9. Let x(c) = -c**3 + 8*c**2 - 5*c - 14. Let p be x(7). Determine b, given that -k*b**5 + 0 + p*b**2 + 4/9*b**4 + 0*b**3 + 0*b = 0.
0, 2
Let c(j) be the third derivative of -j**6/360 + j**5/90 + j**4/72 - j**3/9 - 16*j**2. Factor c(l).
-(l - 2)*(l - 1)*(l + 1)/3
Let j(d) = -d - 13. Let b be j(-13). Let g(n) be the first derivative of -1 - 4/21*n**3 + 0*n**2 + 2/7*n**5 + 3/14*n**4 + b*n. Factor g(r).
2*r**2*(r + 1)*(5*r - 2)/7
Let c = -15 + 21. Suppose 0 = 6*f - 4*f - c. Suppose 2/5*q**f + 0*q + 2/5*q**2 - 2/5*q**4 + 0 - 2/5*q**5 = 0. Calculate q.
-1, 0, 1
Factor -52/9*a**2 - 4/9 + 8/3*a - 16/9*a**4 + 16/3*a**3.
-4*(a - 1)**2*(2*a - 1)**2/9
Let f(n) be the second derivative of n**7/168 - n**6/6 + 29*n**5/16 - 75*n**4/8 + 45*n**3/2 - 27*n**2 + 62*n. Suppose f(u) = 0. Calculate u.
1, 6
Let b(q) be the third derivative of q**10/529200 + q**9/211680 - q**5/6 + 4*q**2. Let l(r) be the third derivative of b(r). Let l(z) = 0. Calculate z.
-1, 0
Let o = 69 - 45. Let c be -70*((-1)/1 - (-3)/(-6)). Determine j so that c*j**2 + 27*j + 6 + 0*j + o*j = 0.
-2/7, -1/5
Factor -1/4*f**2 + 0 + 0*f.
-f**2/4
Let u(v) = -2*v**3 - 3*v**2 - 4*v. Let f(w) = w**3 + w**2 + w. Suppose 5*k - 6 = 3*k. Let n(z) = k*f(z) + u(z). Factor n(a).
a*(a - 1)*(a + 1)
Let 21/2*a - 147/4 - 3/4*a**2 = 0. What is a?
7
Let h(s) be the second derivative of -s**6/10 + 3*s**5/2 - 33*s**4/4 + 20*s**3 - 24*s**2 - 15*s. Factor h(m).
-3*(m - 4)**2*(m - 1)**2
Let z = -5 - -5. Let s be z + (-1)/(-2)*4. Factor -3*c**3 + 4*c**3 - s*c + 2*c**2 + 3*c.
c*(c + 1)**2
Let i(l) be the second derivative of -7*l**5/10 + 10*l**4/3 - 11*l**3/3 - 2*l**2 + 3*l. Factor i(o).
-2*(o - 2)*(o - 1)*(7*o + 1)
Let m = 5 + -3. Let h(g) be the third derivative of 3*g**m + 0*g**3 + 0 + 0*g**4 + 0*g - 1/90*g**5. Factor h(w).
-2*w**2/3
Let o(s) be the first derivative of s**4/14 + 2*s**3/21 - s**2/7 - 2*s/7 - 7. Factor o(z).
2*(z - 1)*(z + 1)**2/7
Let b(j) be the first derivative of -2/9*j + 1/18*j**4 + 1/3*j**2 - 2/9*j**3 - 1. Factor b(h).
2*(h - 1)**3/9
Factor 3/4 + 15/8*o - 21/8*o**2.
-3*(o - 1)*(7*o + 2)/8
Let w(v) = -v**3 + 3*v**2 - v + 2. Let z be w(3). Let i be 0 + (-7 - z)/(-3). Factor 4*c**2 - c**3 + 2*c - 3*c**i + 0*c.
-c*(c - 2)*(c + 1)
Let f(b) be the second derivative of b**7/14 - 21*b**5/20 - b**4/2 + 6*b**3 + 12*b**2 - 42*b. Suppose f(o) = 0. What is o?
-2, -1, 2
Suppose 0 = 5*a - w + 1 - 22, 3*a = -2*w + 23. Find v such that -7/3*v + 1/3 - 3*v**3 + a*v**2 = 0.
1/3, 1
Let p be (4/(-10))/((-2)/15). Determine b, given that -3/2*b + 0 - 3/2*b**p + 3*b**2 = 0.
0, 1
Suppose 5*r - 20 = -5*v, -5*r + 2 = 5*v - 9*r. Solve 1/4*u**4 + 1/4*u**v + 0*u + 0 + 1/2*u**3 = 0 for u.
-1, 0
Suppose -4*o + 4 + 8 = 0. Find d such that -3*d**4 - 5*d - 9*d**2 - 9*d**3 - d + o*d = 0.
-1, 0
Let p(y) = 15*y**2 + 11*y - 13. Let z(h) = 7*h**2 + 9*h - 6. Let k(v) = v. Let l(s) = 4*k(s) - z(s). Let m(u) = 13*l(u) + 6*p(u). Let m(q) = 0. What is q?
0, 1
Let d(z) be the second derivative of -z**5 - 73*z**4/12 - 41*z**3/6 - 3*z**2 + 17*z. Determine x so that d(x) = 0.
-3, -2/5, -1/4
Suppose -4*g + 8 = -5*q - 22, -4*q + 17 = 5*g. Solve -5 - 2*u - 3*u**2 + 4*u**3 + 3 - 2*u**3 + g*u**2 = 0 for u.
-1, 1
Let t(m) be the third derivative of -m**7/315 + 7*m**6/360 + m**5/30 - m**4/4 - m**2. Let w(c) be the second derivative of t(c). Factor w(n).
-2*(n - 2)*(4*n + 1)
Let o(k) be the third derivative of -k**5/240 + k**4/32 - k**3/12 - 18*k**2. Factor o(q).
-(q - 2)*(q - 1)/4
Factor 12 + 84*c**5 - 24*c**3 - 4*c**4 - 2*c**2 - 80*c**5 + 20*c - 6*c**2.
4*(c - 3)*(c - 1)*(c + 1)**3
Let o = 1976/3 + -739. Let g = o + 81. Suppose -g*b + 4/3*b**2 - 4/3*b**4 + 2/3*b**5 + 0 + 0*b**3 = 0. What is b?
-1, 0, 1
Determine i, given that 2/11*i**2 - 6/11 - 4/11*i = 0.
-1, 3
Factor -2 + 6*y**2 - 3*y - 5*y**2 - 2*y**2.
-(y + 1)*(y + 2)
Suppose 3*i = 20 - 2. Let y be (2 + (-14)/i)*-2. Let 17/3*g**3 + 0 + 1/3*g**2 + 14/3*g**4 - y*g = 0. Calculate g.
-1, -1/2, 0, 2/7
Let p(z) = -2*z**4 - 8*z**3 - 17*z**2 - 3*z + 3. Let s(h) = h**2 - h - 1. Let l(d) = p(d) + 5*s(d). Factor l(w).
-2*(w + 1)**4
Let r(v) be the third derivative of -v**8/5040 - v**7/3780 + v**4/12 + 4*v**2. Let z(t) be the second derivative of r(t). Factor z(p).
-2*p**2*(2*p + 1)/3
Let j(d) be the first derivative of 3*d**6/11 - 48*d**5/55 + 21*d**4/22 - 4*d**3/11 - 16. Factor j(w).
6*w**2*(w - 1)**2*(3*w - 2)/11
Let n(x) be the second derivative of 0*x**3 - x**2 - 3*x + 1/6*x**4 + 0. Suppose n(z) = 0. Calculate z.
-1, 1
Let j be ((-4)/1)/(-8)*(-1)/(-1). Let 2*y**4 + 0*y + 5/2*y**3 + j*y**2 + 0 = 0. What is y?
-1, -1/4, 0
Suppose -3*a = -5*b + 9*b + 12, -2*a = -b - 3. Let -1/3*h**2 + a*h + 0 = 0. What is h?
0
Let r = 7 + -5. Let p(w) be the first derivative of -r - 2/15*w**3 + 4/5*w - 2/25*w**5 - 7/10*w**4 + w**2 + 2/15*w**6. Determine z, given that p(z) = 0.
-1, -1/2, 1, 2
Suppose k + 12 - 16 = 0. Suppose 2/9 + 4/9*m - 4/9*m**3 + 0*m**2 - 2/9*m**k = 0. What is m?
-1, 1
Let r = -6 - -9. Suppose -2*c**r + 0 - c**4 + 1 + 3*c + 2*c - 3*c = 0. Calculate c.
-1, 1
Let g(v) be the first derivative of v**4/22 + 2*v**3/11 + 3*v**2/11 + 2*v/11 + 6. Factor g(x).
2*(x + 1)**3/11
Suppose 4 = v - u, -v - u = 2*v - 8. Suppose -2*f = -2*z + 4, -4*f + 21 = z + 4. Factor 3*o**v - o**2 + f - 2*o**3 - 3.
o**2*(o - 1)
Factor -17*p**2 - 4 - 10*p**3 + 15*p + 21*p**2 - 5*p.
-2*(p - 1)*(p + 1)*(5*p - 2)
Suppose 4 = -3*u + 1, -12 = 2*y + 4*u. Let l be (-104)/(-28) - y/14. Suppose 2/9*x + 0 - 2/9*